{"count": 116, "status":"OK", "data":[{"pols": "[X^4, -16*(2*X+1)^2*(8*X^2+8*X+3), 4096*(2*X+1)^2*(2*X+3)^2]", "text": "B-Incarnations:\nFibre product 81111- x 18--21, 4*11-- x 53211, \nDouble Octics: D.O.8, D.O.36, D.O.73, D.O.249, D.O.258,D.O.265\n", "degz": 2, "h3": null, "sol": "1 48 5904 940800 169520400 32825979648 6664766701824 1399343499620352 301253424381795600 66124078946867884800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -48 -320 -832 -1024 -512 36864 196608 360448 262144 65536", "new_number": "2.17", "id": 8, "operator_tex": "\\theta^4-2^{4} x(2\\theta+1)^2(8\\theta^2+8\\theta+3)+2^{12} x^{2}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "32 1440", "discriminant": "2 1 -512 65536", "aesz": "111", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d8535e0f3d0bfd4ebcc9c042df43c218", "dim_h": null, "inst": " 32 -96 1440 19704 -14496 15837984 163296032 7479253880 329193772800 7032903948768", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "A_{n}=\\dbinom{2n}{n}^2\\sum_{k=0}^{n}4^{n-k}\\dbinom{2k}{k}^2\\dbinom{2n-2k}{n-k}", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(256z-1)^2", "discr_factors": "65536, (z-1/256)^2", "dm_basis": ["5/3-96*lambda", "2/3", "1/2", "1", "2/3", "0", "-1", "0", "8", "-16", "0", "0", "16", "0", "0", "0"], "q": "0 1 -128 11616 -870400 57668144 -3495272448 197815529984 -10595176022016 542166156831384", "yuk": "1 32 -736 38912 1260320 -1811968 3421042688 56010539008 3829379246880 239982260410112", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-16","1","0","0","0","1","1"]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":["-2/3+96*lambda","48*lambda","-5/72+4*lambda","-.13526746e-1","-2/3","2/3","-1/36","-5/72-4*lambda","-8","0","2/3","-48*lambda","-16","-8","-2/3","-2/3-96*lambda"],"monodromy_dm":["-3","0","0","-1","-1","1","1/4","0","0","0","1","0","4","0","-1","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12*(3*X+1)*(3*X+2)*(8*X^2+8*X+3), 2304*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "", "degz": 2, "h3": null, "sol": "1 72 14760 3951360 1198751400 391176257472 133901221918464 47411323466158080 17215474536402765480 6374166727892926248000", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -72 -516 -1380 -1728 -864 92160 539136 1016064 746496 186624", "new_number": "2.18", "id": 9, "operator_tex": "\\theta^4-2^{2} 3 x(3\\theta+1)(3\\theta+2)(8\\theta^2+8\\theta+3)+2^{8} 3^{2} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "36 8076", "discriminant": "2 1 -864 186624", "aesz": "110", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5060b638cac581d5f0f9dd7f40d90e6c", "dim_h": null, "inst": " 36 -144 8076 -57996 6960672 -12143856 10041274764 98875091268 19944340019760 482716439753472", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "A_{n}=\\dbinom{2n}{n}\\dbinom{3n}{n}\\sum_{k=0}^{n}4^{n-k}\\dbinom{2k}{k}^2\\dbinom{2n-2k}{n-k}", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(432z-1)^2", "discr_factors": "186624, (z-1/432)^2", "dm_basis": ["3/2-24*lambda", "0", "1/2", "1", "1", "0", "-1", "0", "6", "-12", "0", "0", "12", "0", "0", "0"], "q": "0 1 -228 39006 -5773648 784430637 -100616704632 12381829002386 -1476632870320704 171818463840250374", "yuk": "1 36 -1116 218088 -3712860 870084036 -2622855960 3444157244088 50624043016356 14539423874623128", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-12","1","0","0","0","1","1"]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":["-1/2+24*lambda","12*lambda","-1/8+2*lambda","-.1127229e-2","-1","1/2","-1/12","-1/8-2*lambda","-6","0","1/2","-12*lambda","-12","-6","-1","-1/2-24*lambda"],"monodromy_dm":["-3","1","0","-1","-1","1","1/4","0","0","0","1","0","3","0","-3/4","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48*(6*X+1)*(6*X+5)*(8*X^2+8*X+3), 36864*(6*X+1)*(6*X+5)*(6*X+7)*(6*X+11)]", "text": "", "degz": 2, "h3": null, "sol": "1 720 2273040 9605756160 46308725583120 240786868817214720 1315120893663838060800 7435757049324458453913600 43135804200964730778389552400 255247151546465636305978354924800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -720 -7104 -20928 -27648 -13824 14192640 122093568 252149760 191102976 47775744", "new_number": "2.19", "id": 10, "operator_tex": "\\theta^4-2^{4} 3 x(6\\theta+1)(6\\theta+5)(8\\theta^2+8\\theta+3)+2^{12} 3^{2} x^{2}(6\\theta+1)(6\\theta+5)(6\\theta+7)(6\\theta+11)", "superseek": "-288 -96055968", "discriminant": "2 1 -13824 47775744", "aesz": "112", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "9a988f0cb0ca922885043cdadf98dd79", "dim_h": null, "inst": " -288 162504 -96055968 106571782296 -135291308081760 202640200069218600 -331236087493837278240 582773446380820280519448 -1081357063366546927831256832 2094880412576670910662188706840", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "A_{n}=\\dbinom{3n}{n}\\dbinom{6n}{3n}\\sum_{k=0}^{n}4^{n-k}\\dbinom{2k}{k}^2\\dbinom{2n-2k}{n-k}", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(6912z-1)^2", "discr_factors": "47775744, (z-1/6912)^2", "dm_basis": ["7/6+96920449/100000000*I", "-4/3", "1/2", "1", "5/3", "0", "-1", "0", "2", "-4", "0", "0", "4", "0", "0", "0"], "q": "0 1 -4224 15018336 -49622038528 157618249425456 -488487774278467584 1488716329019728343552 -4482147177792048362422272 13370796738913860479184841368", "yuk": "1 -288 1299744 -2593511424 6820595366688 -16911413510220288 43770283212359006208 -113613978010386186436608 298380004546986804221324064 -788309299194212710391579741952", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-4","1","0","0","0","1","1"]},{"re":"1/6912","im":"0","approx_re":"0.000144675925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":["-.16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667-.969204490*I","-100*lambda","-35/72-250/3*lambda","-.234839336","-5/3","1/6","-25/36","-35/72+250/3*lambda","-2","0","1/6","100*lambda","-4","-2","-5/3","-.16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667+.969204490*I"],"monodromy_dm":["-3","3","0","-1","-1","1","1/4","0","0","0","1","0","1","0","-1/4","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/6","5/6","7/6","11/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -172*X^4-344*X^3-286*X^2-114*X-18, 36*(X+1)^2*(236*X^2+472*X+187), -32400*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 103 =$c \\ast c$.", "degz": 3, "h3": "36", "sol": "1 18 630 28980 1593270 99340668 6771183804 491734025640 37390439327670 2942412630737580", "n_discr_factors": "2", "c3": "-48", "operator": "4 3 0 0 0 0 1 -18 -114 -286 -344 -172 6732 30456 49212 33984 8496 -324000 -1263600 -1587600 -777600 -129600", "new_number": "3.10", "id": 71, "operator_tex": "\\theta^4-2 x\\left(86\\theta^4+172\\theta^3+143\\theta^2+57\\theta+9\\right)+2^{2} 3^{2} x^{2}(\\theta+1)^2(236\\theta^2+472\\theta+187)-2^{4} 3^{4} 5^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "10 664", "discriminant": "3 1 -172 8496 -129600", "aesz": "~103", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "9239615e8ac132ca232c13367a39ae3b", "dim_h": "12", "inst": " 10 24 664 9088 234388 5667648 162977404 4849452496 154029465758 5070777681360", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(100z-1)(-1+36z)^2", "discr_factors": "-129600, z-1/100, (-1/36+z)^2", "dm_basis": ["-48*lambda", "9", "1", "1", "-3", "-18", "-1", "0", "0", "36", "0", "0", "-36", "0", "0", "0"], "q": "0 1 -42 1407 -46436 1436487 -44122518 1303343085 -38697997416 1108968963840", "yuk": "1 10 202 17938 581834 29298510 1224230098 55901249582 2482920259786 112287480555520", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/100","im":"0","approx_re":"0.01","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -865*X^4-1730*X^3-1501*X^2-636*X-108, 288*(X+1)^2*(866*X^2+1732*X+709), -5992704*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 144=c \\ast c$", "degz": 3, "h3": "144", "sol": "1 108 19908 4278240 990152100 239446268208 59614692407424 15153132818064384 3911985335605578660 1022203971590591790000", "n_discr_factors": "2", "c3": "1056", "operator": "4 3 0 0 0 0 1 -108 -636 -1501 -1730 -865 204192 907200 1451232 997632 249408 -59927040 -233715456 -293642496 -143824896 -23970816", "new_number": "3.11", "id": 82, "operator_tex": "\\theta^4-x\\left(865\\theta^4+1730\\theta^3+1501\\theta^2+636\\theta+108\\right)+2^{5} 3^{2} x^{2}(\\theta+1)^2(866\\theta^2+1732\\theta+709)-2^{8} 3^{4} 17^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "37 15270", "discriminant": "3 1 -865 249408 -23970816", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": "0", "hash": "e7db0935aa1b331d8fb696a009d2d7bb", "dim_h": "24", "inst": " 37 -570 15270 -529994 21300463 -940529726 44366232577 -2197565232362 113018337970561 -5988237343781856", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(289z-1)(-1+288z)^2", "discr_factors": "-23970816, z-1/289, (-1/288+z)^2", "dm_basis": null, "q": "0 1 -204 36318 -6017864 953991141 -146756485944 22090275671862 -3270710285695536 478039917569139522", "yuk": "1 37 -4523 412327 -33924139 2662557912 -203154013049 15217617773948 -1125153432893483 82390368380951296", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/289","im":"0","approx_re":"0.00346020761246","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/288","im":"0","approx_re":"0.00347222222222","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 360+2484*X+7236*X^2+9504*X^3+4752*X^4, 3732480+20155392*X+39937536*X^2+29859840*X^3+7464960*X^4, 241864704*(2*X+5)^2*(2*X+1)^2]", "text": "", "degz": 3, "h3": null, "sol": "1 -360 314280 -348076800 431342188200 -570967470279360 789495740106796800 -1126184019055664025600 1644495223187387235436200 -2445630309042571960581729600", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 360 2484 7236 9504 4752 3732480 20155392 39937536 29859840 7464960 6046617600 29023764480 44503105536 23219011584 3869835264", "new_number": "3.2", "id": 92, "operator_tex": "\\theta^4+2^{2} 3^{2} x\\left(132\\theta^4+264\\theta^3+201\\theta^2+69\\theta+10\\right)+2^{9} 3^{6} x^{2}\\left(20\\theta^4+80\\theta^3+107\\theta^2+54\\theta+10\\right)+2^{12} 3^{10} x^{3}(2\\theta+5)^2(2\\theta+1)^2", "superseek": "-900 8364884", "discriminant": "3 1 4752 7464960 3869835264", "aesz": "227", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2e00a51fe0c232d13a452380f44c79da", "dim_h": null, "inst": " -900 -27387 8364884 2066389488 -208833104160 -210321729276169 -23812009502654124 17373301083713503872 6879730470629801240912 -453016084858607166698520", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(1296z+1)(1+1728z)^2", "discr_factors": "3869835264, z+1/1296, (1/1728+z)^2", "dm_basis": null, "q": "0 1 1044 860382 608921232 385433568045 224091366150168 121987822597728786 63030136591726482240 31199765289046337415942", "yuk": "1 -900 -219996 225850968 132248707236 -26104138020900 -45429493298020632 -8167519259410365432 8895130154993562689700 5015323513089125330475816", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/1296","im":"0","approx_re":"-0.000771604938272","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1728","im":"0","approx_re":"-0.000578703703704","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","5/2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -800*X^3-400*X^4-288*X-688*X^2-48, 2048*(26*X^2+52*X+21)*(X+1)^2, -589824*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 107 $=d \\ast d$", "degz": 3, "h3": null, "sol": "1 48 3984 387840 40818960 4501986048 512429938944 59675344515072 7072164147494160 849882891327824640", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -48 -288 -688 -800 -400 43008 192512 309248 212992 53248 -5898240 -23003136 -28901376 -14155776 -2359296", "new_number": "3.34", "id": 97, "operator_tex": "\\theta^4-2^{4} x\\left(25\\theta^4+50\\theta^3+43\\theta^2+18\\theta+3\\right)+2^{11} x^{2}(26\\theta^2+52\\theta+21)(\\theta+1)^2-2^{16} 3^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "16 1744", "discriminant": "3 1 -400 53248 -2359296", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "931a876bfe4d4aa192c6e18e74047640", "dim_h": null, "inst": " 16 -110 1744 -29526 644016 -14438358 359438736 -9163638478 246345604992 -6752150432602", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(144z-1)(-1+128z)^2", "discr_factors": "-2359296, z-1/144, (-1/128+z)^2", "dm_basis": null, "q": "0 1 -96 8096 -637952 48181552 -3535150080 253974455808 -17956221681664 1253619038795416", "yuk": "1 16 -864 47104 -1890528 80502016 -3118639104 123287486464 -4691784791264 179585946086272", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144","im":"0","approx_re":"0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 704*X^4+1408*X^3+1156*X^2+452*X+72, 110592+528384*X+919552*X^2+655360*X^3+163840*X^4, 196608*(2*X+5)*(2*X+1)*(4*X+3)*(4*X+9)]", "text": "This is operator \"3.3\" from ...", "degz": 3, "h3": null, "sol": "1 -72 10152 -1739520 327839400 -65426139072 13570541639424 -2894582249754624 630699147970954920 -139752218040620328000", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 72 452 1156 1408 704 110592 528384 919552 655360 163840 26542080 110886912 150208512 75497472 12582912", "new_number": "3.3", "id": 98, "operator_tex": "\\theta^4+2^{2} x\\left(176\\theta^4+352\\theta^3+289\\theta^2+113\\theta+18\\right)+2^{11} x^{2}\\left(80\\theta^4+320\\theta^3+449\\theta^2+258\\theta+54\\right)+2^{16} 3 x^{3}(2\\theta+5)(2\\theta+1)(4\\theta+3)(4\\theta+9)", "superseek": "-68 -18628/3", "discriminant": "3 1 704 163840 12582912", "aesz": "228", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b15f49e2c20021dbc50eaf05a6fd3126", "dim_h": null, "inst": " -68 -835 -18628/3 359052 23710944 780298527 6002824980 -1205741266836 -101816115056048 -4774210021942744", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(192z+1)(1+256z)^2", "discr_factors": "12582912, (1/256+z)^2, z+1/192", "dm_basis": null, "q": "0 1 164 22494 2779984 319566125 34816835832 3640068113170 368335750627904 36296801883552006", "yuk": "1 -68 -6748 -167720 22972580 2963867932 168544307432 2058968968072 -617339505647452 -74223947876026712", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192","im":"0","approx_re":"-0.00520833333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","9/4","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 297*X^4+594*X^3+513*X^2+216*X+36, 5832*(X+1)^2*(5*X^2+10*X+4), 236196*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 165= $f \\ast f$.", "degz": 3, "h3": null, "sol": "1 -36 2268 -168840 13664700 -1164055536 102703980456 -9298088493408 858657129836220 -80558996453535600", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 36 216 513 594 297 23328 104976 169128 116640 29160 2361960 9211644 11573604 5668704 944784", "new_number": "3.4", "id": 99, "operator_tex": "\\theta^4+3^{2} x\\left(33\\theta^4+66\\theta^3+57\\theta^2+24\\theta+4\\right)+2^{3} 3^{6} x^{2}(\\theta+1)^2(5\\theta^2+10\\theta+4)+2^{2} 3^{10} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "-9 -748", "discriminant": "3 1 297 29160 944784", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "350ef7c6e038467a3f50bfbe164fa73a", "dim_h": null, "inst": " -9 -279/4 -748 -9612 -155448 -2815705 -53663706 -1059698916 -21763170064 -462620305098", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(81z+1)(1+108z)^2", "discr_factors": "944784, (1/108+z)^2, z+1/81", "dm_basis": null, "q": "0 1 72 4536 267468 15128100 831526560 44763597666 2371851094680 124115519263194", "yuk": "1 -9 -567 -20205 -615735 -19431009 -608213043 -18406651167 -542566460727 -15865350996861", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/81","im":"0","approx_re":"-0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 15*X^4+30*X^3+35*X^2+20*X+4, -32*(X+1)^2*(66*X^2+132*X+53), -12544*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 100= $ a \\ast a$", "degz": 3, "h3": "36", "sol": "1 -4 132 -1120 72100 -265104 59047296 350118912 63064312740 1096066914800", "n_discr_factors": "2", "c3": "-72", "operator": "4 3 0 0 0 0 1 4 20 35 30 15 -1696 -7616 -12256 -8448 -2112 -125440 -489216 -614656 -301056 -50176", "new_number": "3.8", "id": 103, "operator_tex": "\\theta^4+x\\left(15\\theta^4+30\\theta^3+35\\theta^2+20\\theta+4\\right)-2^{5} x^{2}(\\theta+1)^2(66\\theta^2+132\\theta+53)-2^{8} 7^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "5 454", "discriminant": "3 1 15 -2112 -50176", "aesz": "~100", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "82a1ac6ac6fb9ab2e4d6b5d5790d1d9b", "dim_h": "12", "inst": " 5 42 454 7498 154351 3652254 94572705 2621325434 76541504257 2329054186336", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(49z-1)(1+32z)^2", "discr_factors": "-50176, (1/32+z)^2, z-1/49", "dm_basis": null, "q": "0 1 4 -258 -4616 -15963 203304 -9506154 -568626864 -17941215870", "yuk": "1 5 341 12263 480213 19293880 788899463 32438437820 1342119102421 55798756615616", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/49","im":"0","approx_re":"0.0204081632653","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -113*X^4-226*X^3-173*X^2-60*X-8, -8*(X+1)^2*(119*X^2+238*X+92), -484*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to $AESZ 101=$b \\ast b$.", "degz": 3, "h3": "25", "sol": "1 8 336 19880 1420720 113275008 9704740584 874756135968 81882718323120 7891736843070080", "n_discr_factors": "2", "c3": "-100", "operator": "4 3 0 0 0 0 1 -8 -60 -173 -226 -113 -736 -3376 -5496 -3808 -952 -4840 -18876 -23716 -11616 -1936", "new_number": "3.9", "id": 104, "operator_tex": "\\theta^4-x\\left(113\\theta^4+226\\theta^3+173\\theta^2+60\\theta+8\\right)-2^{3} x^{2}(\\theta+1)^2(119\\theta^2+238\\theta+92)-2^{2} 11^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "13 2650", "discriminant": "3 1 -113 -952 -1936", "aesz": "~101", "n_sing_complex": "0", "inst_int": "", "c2h": "70", "hash": "a6878d847acf199583e8168a33967174", "dim_h": "10", "inst": " 13 128 2650 79400 2921395 122812412 5664142427 279632148928 14543647764623 788207856221800", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(121z-1)(4z+1)^2", "discr_factors": "-1936, (z+1/4)^2, z-1/121", "dm_basis": null, "q": "0 1 -28 78 -756 -125795 -4778040 -252199832 -14014113416 -804056652822", "yuk": "1 13 1037 71563 5082637 365174388 26527553579 1942800852474 143171665333773 10602319220481730", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/121","im":"0","approx_re":"0.00826446280992","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -884736*X^4+221184*X^3+49152*X^2-61440*X-10608, 269072990208*X^4-24461180928*X^3+124004597760*X^2+15627976704*X-350355456, -32462531054272512*X^4-24346898290704384*X^3-20063647665487872*X^2-5748573207527424*X-632272604626944, 37396835774521933824*(3*X+1)*(2*X+1)^2*(3*X+2)]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 10608 477012240 30101658720000 2213759644568010000 177668697182907783460608 15088164580638663840569827584 1333046580962138038084343998279680 121271152939302640973806084533106122000 11283491291004292519857771628719454324320000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -10608 -61440 49152 221184 -884736 -350355456 15627976704 124004597760 -24461180928 269072990208 -632272604626944 -5748573207527424 -20063647665487872 -24346898290704384 -32462531054272512 74793671549043867648 635746208166872875008 1982032296049662492672 2692572175765579235328 1346286087882789617664", "new_number": "4.55", "id": 154, "operator_tex": "\\theta^4-2^{4} 3 x\\left(18432\\theta^4-4608\\theta^3-1024\\theta^2+1280\\theta+221\\right)+2^{17} 3^{4} x^{2}\\left(25344\\theta^4-2304\\theta^3+11680\\theta^2+1472\\theta-33\\right)-2^{28} 3^{8} x^{3}\\left(18432\\theta^4+13824\\theta^3+11392\\theta^2+3264\\theta+359\\right)+2^{46} 3^{12} x^{4}(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "-188832 -101990911789344", "discriminant": "4 1 -884736 269072990208 -32462531054272512 1346286087882789617664", "aesz": "276", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "797e27181bf0a060708a3d221ec79699", "dim_h": null, "inst": " -188832 -3134817768 -101990911789344 -4414817659429205136 -223930278487379610386400 -12564756782029250056315926984 -756084427757279862134160044718240 -47893479034932888828760434508479466128 -3155272971995361246683107063324659407162112 -214420998567951184530459743151255837994639150200", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(331776z-1)^2(110592z-1)^2", "discr_factors": "1346286087882789617664, (z-1/110592)^2, (z-1/331776)^2", "dm_basis": null, "q": "0 1 -19008 -23078304 -2109955663872 -58663430042147280 -1165406273347008669696 46373781500553478336676352 9887126966617517473134145830912 1091619463009810876015404632360942232", "yuk": "1 -188832 -25078730976 -2753754618501120 -282548330228547859680 -27991284810922451298488832 -2713987464918320765943937271808 -259336958720746992712016895338545152 -24521461265885639080607890798570034517216 -2300193996584618348831985049166430462439680768", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/331776","im":"0","approx_re":"3.01408179012e-06","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/110592","im":"0","approx_re":"9.04224537037e-06","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","1/2","1/2","2/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16-80*X-161*X^2-162*X^3-81*X^4, 3520+11840*X+15616*X^2+9696*X^3+2424*X^4, -64*(124*X^2+372*X+263)*(2*X+3)^2, 38400*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "Sporadic Operator.\nB-Incarnation: SII4411\n", "degz": 4, "h3": null, "sol": "1 16 280 5152 98200 1924096 38567776 788141440 16375619992 345184309120", "n_discr_factors": "3", "c3": null, "operator": "4 4 0 0 0 0 1 -16 -80 -161 -162 -81 3520 11840 15616 9696 2424 -151488 -416256 -424448 -190464 -31744 1728000 4147200 3494400 1228800 153600", "new_number": "4.77", "id": 178, "operator_tex": "\\theta^4-x\\left(16+80\\theta+161\\theta^2+162\\theta^3+81\\theta^4\\right)+2^{3} x^{2}\\left(303\\theta^4+1212\\theta^3+1952\\theta^2+1480\\theta+440\\right)-2^{6} x^{3}(124\\theta^2+372\\theta+263)(2\\theta+3)^2+2^{9} 3 5^{2} x^{4}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "1 68/9", "discriminant": "4 1 -81 2424 -31744 153600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f9623221ffe8be4c1e31a6e6ce195a37", "dim_h": null, "inst": " 1 -2 68/9 -30 150 -778 4374 -25438 463459/3 -960634", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(25z-1)(24z-1)(-1+16z)^2", "discr_factors": "153600, z-1/25, (-1/16+z)^2, z-1/24", "dm_basis": null, "q": "0 1 -16 228 -3088 40434 -516960 6493584 -80458272 986088855", "yuk": "1 1 -15 205 -1935 18751 -167859 1500283 -13026191 112620742", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"0","approx_re":"0.04","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -380*X^4-616*X^3-454*X^2-146*X-18, 19120*X^4+25216*X^3+9580*X^2+2568*X+540, -321600*X^4-406656*X^3-365136*X^2-173520*X-31104, 1152*(2*X+1)*(760*X^3+1464*X^2+1211*X+375), -746496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.109\" from ...", "degz": 5, "h3": null, "sol": "1 18 1782 276660 52396470 11120006268 2541130506684 611646862545576 152996910629924790 39422206347956983980", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -18 -146 -454 -616 -380 540 2568 9580 25216 19120 -31104 -173520 -365136 -406656 -321600 432000 2259072 4476672 4248576 1751040 -2239488 -10450944 -17169408 -11943936 -2985984", "new_number": "5.109", "id": 191, "operator_tex": "\\theta^4-2 x\\left(190\\theta^4+308\\theta^3+227\\theta^2+73\\theta+9\\right)+2^{2} x^{2}\\left(4780\\theta^4+6304\\theta^3+2395\\theta^2+642\\theta+135\\right)-2^{4} 3 x^{3}\\left(6700\\theta^4+8472\\theta^3+7607\\theta^2+3615\\theta+648\\right)+2^{7} 3^{2} x^{4}(2\\theta+1)(760\\theta^3+1464\\theta^2+1211\\theta+375)-2^{10} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "50 68472", "discriminant": "5 1 -380 19120 -321600 1751040 -2985984", "aesz": "373", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8b0fbfc0016c3fb02fd42d4ff919e0f8", "dim_h": null, "inst": " 50 1299 68472 5536032 555252324 63681370020 8019074485356 1081455690635976 153688981728011670 22762847713147431542", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+324z)(24z-1)^2(4z-1)^2", "discr_factors": "-2985984, (z-1/4)^2, (z-1/24)^2, -1/324+z", "dm_basis": null, "q": "0 1 -74 831 -59428 -5785081 -780141174 -110687328275 -16669325292008 -2616158955916800", "yuk": "1 50 10442 1848794 354316490 69406540550 13755177783506 2750542548477158 553705313959936202 112039267679722356224", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/324","im":"0","approx_re":"0.00308641975309","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -120*X^4-180*X^3-136*X^2-46*X-6, 1252*X^4-1592*X^3-5668*X^2-4132*X-1008, 5232*X^4+40512*X^3+28592*X^2+1032*X-3240, -50240*X^4+3200*X^3+135920*X^2+132880*X+38400, -4800*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.111\" from ...", "degz": 5, "h3": null, "sol": "1 6 246 13020 832950 59364756 4543863996 365802101496 30576859664310 2631271897080420", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -6 -46 -136 -180 -120 -1008 -4132 -5668 -1592 1252 -3240 1032 28592 40512 5232 38400 132880 135920 3200 -50240 -168000 -681600 -1032000 -691200 -172800", "new_number": "5.111", "id": 194, "operator_tex": "\\theta^4-2 x\\left(60\\theta^4+90\\theta^3+68\\theta^2+23\\theta+3\\right)+2^{2} x^{2}\\left(313\\theta^4-398\\theta^3-1417\\theta^2-1033\\theta-252\\right)+2^{3} x^{3}\\left(654\\theta^4+5064\\theta^3+3574\\theta^2+129\\theta-405\\right)-2^{4} 5 x^{4}\\left(628\\theta^4-40\\theta^3-1699\\theta^2-1661\\theta-480\\right)-2^{6} 3 5^{2} x^{5}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "12 2320", "discriminant": "5 1 -120 1252 5232 -50240 -172800", "aesz": "380", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "85214e3836a67470a05358a4d38fb124", "dim_h": null, "inst": " 12 511/4 2320 63507 2180312 85468145 3674561480 169146821452 8204014122468 829356661449007/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(108z-1)(4z+1)^2(10z-1)^2", "discr_factors": "-172800, (z+1/4)^2, (z-1/10)^2, z-1/108", "dm_basis": null, "q": "0 1 -22 -81 -316 -83913 -3983850 -187254163 -9590018392 -513687167424", "yuk": "1 12 1034 62652 4065482 272539012 18461182994 1260374587652 86603176648906 5980726295341824", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/10","im":"0","approx_re":"0.1","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -8960*X^4+512*X^3-896*X^2-1152*X-240, 29360128*X^4+8912896*X^3+19791872*X^2+6422528*X+688128, -43486543872*X^4-53150220288*X^3-54962159616*X^2-24763170816*X-4378853376, 927712935936*(2*X+1)*(16*X^3+32*X^2+28*X+9), -1899956092796928*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as double octic D.O.256\n", "degz": 5, "h3": null, "sol": "1 240 118032 72810240 50454043920 37588282986240 29441419461484800 23928102481655623680 20008390694960036912400 17112909862578398281670400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -240 -1152 -896 512 -8960 688128 6422528 19791872 8912896 29360128 -4378853376 -24763170816 -54962159616 -53150220288 -43486543872 8349416423424 42674795053056 81638738362368 74217034874880 29686813949952 -5699868278390784 -26599385299156992 -43698990134329344 -30399297484750848 -7599824371187712", "new_number": "5.114", "id": 197, "operator_tex": "\\theta^4-2^{4} x\\left(560\\theta^4-32\\theta^3+56\\theta^2+72\\theta+15\\right)+2^{15} x^{2}\\left(896\\theta^4+272\\theta^3+604\\theta^2+196\\theta+21\\right)-2^{24} 3^{2} x^{3}\\left(288\\theta^4+352\\theta^3+364\\theta^2+164\\theta+29\\right)+2^{35} 3^{3} x^{4}(2\\theta+1)(16\\theta^3+32\\theta^2+28\\theta+9)-2^{46} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-1312 -127846048", "discriminant": "5 1 -8960 29360128 -43486543872 29686813949952 -7599824371187712", "aesz": "412", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4a9870395db313fa368bbafcfc6a7435", "dim_h": null, "inst": " -1312 -301048 -127846048 -70845744192 -45645879602784 -32400712790843032 -24605134334059982880 -19638165804689158014016 -16283852889535935616536320 -13916857197623082953029203496", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+768z)(3072z-1)^2(1024z-1)^2", "discr_factors": "-7599824371187712, (z-1/1024)^2, (z-1/3072)^2, -1/768+z", "dm_basis": null, "q": "0 1 -192 51296 11540480 12988194352 10786354931712 9649495854113280 8826933516730236928 8251689476344319466136", "yuk": "1 -1312 -2409696 -3451844608 -4534130037984 -5705734950349312 -6998553966276347904 -8439561076582574129152 -10054740892005383033214176 -11870928756471697067906821888", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072","im":"0","approx_re":"0.000325520833333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1024","im":"0","approx_re":"0.0009765625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -25515*X^4+1458*X^3-2349*X^2-3078*X-612, 238085568*X^4+72275976*X^3+155653164*X^2+47711592*X+5038848, -1004193907488*X^4-1227348109152*X^3-1228897791108*X^2-531540910908*X-90225927216, 13556617751088*(2*X+1)*(72*X^3+144*X^2+121*X+36), -39531097362172608*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.115\" from ...", "degz": 5, "h3": null, "sol": "1 612 836244 1455469200 2860801391700 6059421423960912 13508588989452254544 31266101362632688176768 74474712760002295678809300 181468924393263390531729853200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -612 -3078 -2349 1458 -25515 5038848 47711592 155653164 72275976 238085568 -90225927216 -531540910908 -1228897791108 -1227348109152 -1004193907488 488038239039168 2616427225959984 5232854451919968 4880382390391680 1952152956156672 -948746336692142592 -4664669488736367744 -8024812764521039424 -5692478020152855552 -1423119505038213888", "new_number": "5.115", "id": 198, "operator_tex": "\\theta^4-3^{2} x\\left(2835\\theta^4-162\\theta^3+261\\theta^2+342\\theta+68\\right)+2^{2} 3^{9} x^{2}\\left(3024\\theta^4+918\\theta^3+1977\\theta^2+606\\theta+64\\right)-2^{2} 3^{16} x^{3}\\left(5832\\theta^4+7128\\theta^3+7137\\theta^2+3087\\theta+524\\right)+2^{4} 3^{25} x^{4}(2\\theta+1)(72\\theta^3+144\\theta^2+121\\theta+36)-2^{6} 3^{31} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "-3843 -2715123387", "discriminant": "5 1 -25515 238085568 -1004193907488 1952152956156672 -1423119505038213888", "aesz": "413", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2cc16ba9e49744872ae72bfd6b36d064", "dim_h": null, "inst": " -3843 -9668061/4 -2715123387 -3984527414448 -6798579266503881 -51123042830089032933/4 -25706383183809995205276 -54343845169575769245295944 -119359400309804811454246198794 -1080842876017895839905897842260215/4", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+2187z)(8748z-1)^2(2916z-1)^2", "discr_factors": "-1423119505038213888, -1/2187+z, (z-1/2916)^2, (z-1/8748)^2", "dm_basis": null, "q": "0 1 -630 416421 126112308 548463737790 1170888390400770 2799731368218348252 6801167133946470946392 16882302608144936756393337", "yuk": "1 -3843 -19339965 -73308335292 -255009773864637 -849822408312988968 -2760644312898135449796 -8817289432046828355413511 -27824048726823048863365387965 -87013002825847707550218787256118", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8748","im":"0","approx_re":"0.000114311842707","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2916","im":"0","approx_re":"0.000342935528121","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2187","im":"0","approx_re":"0.000457247370828","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -143360*X^4+8192*X^3-11776*X^2-15872*X-2928, 7516192768*X^4+2281701376*X^3+4722786304*X^2+1333788672*X+136839168, -178120883699712*X^4-217703302299648*X^3-209044648230912*X^2-85349590106112*X-13567801688064, 15199648742375424*(2*X+1)^2*(32*X^2+48*X+27), -498062089990157893632*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.116\" from ...", "degz": 5, "h3": null, "sol": "1 2928 21778704 210543916800 2314156512099600 27488690114886620928 344147638371001770057984 4476204502424126417277775872 59935255804224500535102931606800 821047893185561385259001438019782400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -2928 -15872 -11776 8192 -143360 136839168 1333788672 4722786304 2281701376 7516192768 -13567801688064 -85349590106112 -209044648230912 -217703302299648 -178120883699712 410390516044136448 2371145203810566144 5046283382468640768 4863887597560135680 1945555039024054272 -4482558809911421042688 -23906980319527578894336 -43829463919133894639616 -31875973759370105192448 -7968993439842526298112", "new_number": "5.116", "id": 199, "operator_tex": "\\theta^4-2^{4} x\\left(8960\\theta^4-512\\theta^3+736\\theta^2+992\\theta+183\\right)+2^{19} x^{2}\\left(14336\\theta^4+4352\\theta^3+9008\\theta^2+2544\\theta+261\\right)-2^{32} 3^{2} x^{3}\\left(4608\\theta^4+5632\\theta^3+5408\\theta^2+2208\\theta+351\\right)+2^{49} 3^{3} x^{4}(2\\theta+1)^2(32\\theta^2+48\\theta+27)-2^{64} 3^{3} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "-22432 -425234532128", "discriminant": "5 1 -143360 7516192768 -178120883699712 1945555039024054272 -7968993439842526298112", "aesz": "414", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "973fceefe183415b5d0e15e5a0bd12f5", "dim_h": null, "inst": " -22432 -74752296 -425234532128 -3159114140624208 -27288043319514722784 -259726695952732459836424 -2645142433012514345862004384 -28316529866393670178086851226448 -314958263334147865059738941466499840 -3610976085115086767325632191759531906104", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+12288z)(49152z-1)^2(16384z-1)^2", "discr_factors": "-7968993439842526298112, (z-1/16384)^2, -1/12288+z, (z-1/49152)^2", "dm_basis": null, "q": "0 1 -4160 14307936 -4799162368 305314579154480 2880402759672502272 36030068935189095875072 444062360352612486236995584 5607175020973038539401813981848", "yuk": "1 -22432 -598040800 -11481332389888 -202183305597990112 -3411005414939340370432 -56100966325801693255075840 -907283854523292420630667526144 -14498063291593559333363773425931488 -229604573970593793628549699810410773248", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/49152","im":"0","approx_re":"2.03450520833e-05","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16384","im":"0","approx_re":"6.103515625e-05","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12288","im":"0","approx_re":"8.13802083333e-05","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -6531840*X^4+373248*X^3-445824*X^2-632448*X-100080, 15603175784448*X^4+4736678363136*X^3+9248906280960*X^2+2267723464704*X+216065802240, -16847578091810193408*X^4-20591484334434680832*X^3-18589534468586864640*X^2-6889827460385341440*X-956920480609075200, 29112614942648014209024*(2*X+1)*(144*X^3+288*X^2+212*X+45), -43464901208453944029959159808*(2*X+1)*(3*X+1)*(3*X+5)*(2*X+3)]", "text": "This is operator \"5.117\" from ...", "degz": 5, "h3": null, "sol": "1 100080 32388472080 14040210456518400 6986717866758049635600 3772458103454342599604186880 2150844696650109517925917873824000 1275109642885178332905095690665278566400 778508115793959278216278526533093193356746000 486356416968020653385056396023782315899514467680000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -100080 -632448 -445824 373248 -6531840 216065802240 2267723464704 9248906280960 4736678363136 15603175784448 -956920480609075200 -6889827460385341440 -18589534468586864640 -20591484334434680832 -16847578091810193408 1310067672419160639406080 8792009712679700291125248 20728181839165386116825088 20961082758706570230497280 8384433103482628092198912 -651973518126809160449387397120 -4085700713594670738816161021952 -8301796130814703309722199523328 -6258945774017367940314119012352 -1564736443504341985078529753088", "new_number": "5.117", "id": 200, "operator_tex": "\\theta^4-2^{4} 3^{2} x\\left(45360\\theta^4-2592\\theta^3+3096\\theta^2+4392\\theta+695\\right)+2^{15} 3^{9} x^{2}\\left(24192\\theta^4+7344\\theta^3+14340\\theta^2+3516\\theta+335\\right)-2^{24} 3^{16} x^{3}\\left(23328\\theta^4+28512\\theta^3+25740\\theta^2+9540\\theta+1325\\right)+2^{35} 3^{25} x^{4}(2\\theta+1)(144\\theta^3+288\\theta^2+212\\theta+45)-2^{46} 3^{31} x^{5}(2\\theta+1)(3\\theta+1)(3\\theta+5)(2\\theta+3)", "superseek": "-1083168 -32204207145918624", "discriminant": "5 1 -6531840 15603175784448 -16847578091810193408 8384433103482628092198912 -1564736443504341985078529753088", "aesz": "415", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "480ebcdf255c1fe6ad1cac7896e482fa", "dim_h": null, "inst": " -1083168 -148187321784 -32204207145918624 -9094164085684648886400 -2986312705706358630596895840 -1080822779563988585708781595875672 -418678400032411128958261610458192634400 -170512713324867495439431183588063404996681856 -72164211423634021087201630449565017555223458266880 -31484346463454840125529790554432279370457859295871119720", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+559872z)(2239488z-1)^2(746496z-1)^2", "discr_factors": "-1564736443504341985078529753088, (z-1/746496)^2, -1/559872+z, (z-1/2239488)^2", "dm_basis": null, "q": "0 1 -232128 38165901408 -3954444918122496 792066913975884037680 82443006014452891648911360 66562674314905399442323008250368 29188308750629714860958271106063663104 14392982054366003632789898251006034260712088", "yuk": "1 -1083168 -1185499657440 -869513592940886016 -582026501485003028387040 -373289088213294828824613063168 -233457720385821535382611603148605440 -143606691211117017232683732387160074682368 -87302509222332157664989348023589948361329497312 -52607710127829201372569988597732898667271494017441536", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2239488","im":"0","approx_re":"4.46530635574e-07","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/746496","im":"0","approx_re":"1.33959190672e-06","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/559872","im":"0","approx_re":"1.7861225423e-06","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","1/2","3/2","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 8960*X^4-512*X^3+896*X^2+1152*X+240, 29360128*X^4+8912896*X^3+19791872*X^2+6422528*X+688128, 43486543872*X^4+53150220288*X^3+54962159616*X^2+24763170816*X+4378853376, 927712935936*(2*X+1)*(16*X^3+32*X^2+28*X+9), 1899956092796928*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.118\" from ...", "degz": 5, "h3": null, "sol": "1 -240 118032 -72810240 50454043920 -37588282986240 29441419461484800 -23928102481655623680 20008390694960036912400 -17112909862578398281670400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 240 1152 896 -512 8960 688128 6422528 19791872 8912896 29360128 4378853376 24763170816 54962159616 53150220288 43486543872 8349416423424 42674795053056 81638738362368 74217034874880 29686813949952 5699868278390784 26599385299156992 43698990134329344 30399297484750848 7599824371187712", "new_number": "5.118", "id": 201, "operator_tex": "\\theta^4+2^{4} x\\left(560\\theta^4-32\\theta^3+56\\theta^2+72\\theta+15\\right)+2^{15} x^{2}\\left(896\\theta^4+272\\theta^3+604\\theta^2+196\\theta+21\\right)+2^{24} 3^{2} x^{3}\\left(288\\theta^4+352\\theta^3+364\\theta^2+164\\theta+29\\right)+2^{35} 3^{3} x^{4}(2\\theta+1)(16\\theta^3+32\\theta^2+28\\theta+9)+2^{46} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "1312 127846048", "discriminant": "5 1 8960 29360128 43486543872 29686813949952 7599824371187712", "aesz": "416", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "3ae3241981d64d9c9cc38b29974fa202", "dim_h": null, "inst": " 1312 -301376 127846048 -70845744192 45645879602784 -32400712822804544 24605134334059982880 -19638165804689158014016 16283852889535935616536320 -13916857197623094364499104192", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+768z)(1024z+1)^2(3072z+1)^2", "discr_factors": "7599824371187712, (z+1/1024)^2, 1/768+z, (z+1/3072)^2", "dm_basis": null, "q": "0 1 192 51296 -11540480 12988194352 -10786354931712 9649495854113280 -8826933516730236928 8251689476344319466136", "yuk": "1 1312 -2409696 3451844608 -4534130037984 5705734950349312 -6998553966276347904 8439561076582574129152 -10054740892005383033214176 11870928756471697067906821888", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/768","im":"0","approx_re":"-0.00130208333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1024","im":"0","approx_re":"-0.0009765625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3072","im":"0","approx_re":"-0.000325520833333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -594*X^4-216*X^3-234*X^2-126*X-24, 137052*X^4+128304*X^3+136728*X^2+60588*X+10224, -15274008*X^4-26453952*X^3-28308528*X^2-14224248*X-2807136, 816293376*X^4+2244806784*X^3+2692634400*X^2+1527715728*X+331304256, -51018336*(3*X+2)*(3*X+4)*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.12\" from ...", "degz": 5, "h3": "72", "sol": "1 24 1152 71520 5101200 396676224 32692889376 2808042450048 248675352512400 22544379039811200", "n_discr_factors": "3", "c3": "450", "operator": "4 5 0 0 0 0 1 -24 -126 -234 -216 -594 10224 60588 136728 128304 137052 -2807136 -14224248 -28308528 -26453952 -15274008 331304256 1527715728 2692634400 2244806784 816293376 -14285134080 -61528113216 -96883820064 -66119763456 -16529940864", "new_number": "5.12", "id": 214, "operator_tex": "\\theta^4-2 3 x\\left(99\\theta^4+36\\theta^3+39\\theta^2+21\\theta+4\\right)+2^{2} 3^{2} x^{2}\\left(3807\\theta^4+3564\\theta^3+3798\\theta^2+1683\\theta+284\\right)-2^{3} 3^{5} x^{3}\\left(7857\\theta^4+13608\\theta^3+14562\\theta^2+7317\\theta+1444\\right)+2^{4} 3^{9} x^{4}\\left(2592\\theta^4+7128\\theta^3+8550\\theta^2+4851\\theta+1052\\right)-2^{5} 3^{13} x^{5}(3\\theta+2)(3\\theta+4)(6\\theta+5)(6\\theta+7)", "superseek": "-30 -14632", "discriminant": "5 1 -594 137052 -15274008 816293376 -16529940864", "aesz": "74", "n_sing_complex": "0", "inst_int": "", "c2h": "-36", "hash": "e668180adb7c88d4e5fbab5eb7ee61c7", "dim_h": "9", "inst": " -30 -516 -14632 -4227807/8 -22139868 -1021798708 -50464650036 -2619966661332 -141334834087546 -7859316901635348", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+54z)(162z-1)^2(108z-1)^2", "discr_factors": "-16529940864, (z-1/108)^2, -1/54+z, (z-1/162)^2", "dm_basis": null, "q": "0 1 -30 495 -8236 58839 -2049570 -24155251 -973292856 1233846432", "yuk": "1 -30 -4158 -395094 -33826614 -2767483530 -220708920150 -17309374962378 -1341422964428598 -103033094050216128", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/162","im":"0","approx_re":"0.00617283950617","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","5/6","7/6","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1408*X^4-512*X^3-528*X^2-272*X-48, 770048*X^4+720896*X^3+735232*X^2+305152*X+47616, -203423744*X^4-352321536*X^3-362020864*X^2-170655744*X-30670848, 25165824*(2*X+1)*(512*X^3+1152*X^2+1054*X+339), -19327352832*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.13\" from ...", "degz": 5, "h3": "32", "sol": "1 48 5328 779520 131619600 24257173248 4739368322304 965015828434944 202584554505899280 43534711014765484800", "n_discr_factors": "3", "c3": "360", "operator": "4 5 0 0 0 0 1 -48 -272 -528 -512 -1408 47616 305152 735232 720896 770048 -30670848 -170655744 -362020864 -352321536 -203423744 8531214336 43587207168 82040586240 70866960384 25769803776 -869730877440 -4174708211712 -7035156430848 -4947802324992 -1236950581248", "new_number": "5.13", "id": 220, "operator_tex": "\\theta^4-2^{4} x\\left(88\\theta^4+32\\theta^3+33\\theta^2+17\\theta+3\\right)+2^{9} x^{2}\\left(1504\\theta^4+1408\\theta^3+1436\\theta^2+596\\theta+93\\right)-2^{18} x^{3}\\left(776\\theta^4+1344\\theta^3+1381\\theta^2+651\\theta+117\\right)+2^{23} 3 x^{4}(2\\theta+1)(512\\theta^3+1152\\theta^2+1054\\theta+339)-2^{31} 3^{2} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "-80 -174096", "discriminant": "5 1 -1408 770048 -203423744 25769803776 -1236950581248", "aesz": "83", "n_sing_complex": "0", "inst_int": "", "c2h": "-16", "hash": "171e1251d8e4f7de878d0d07de6f58ab", "dim_h": "4", "inst": " -80 -2954 -174096 -13270953 -1179175536 -115795446786 -12188186517456 -1349830285576015 -155427513115593600 -18456445525841201614", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(128z-1)(384z-1)^2(256z-1)^2", "discr_factors": "-1236950581248, (z-1/384)^2, z-1/128, (z-1/256)^2", "dm_basis": null, "q": "0 1 -80 3840 -181248 5466544 -307951104 46314496 -945821483008 -60856937695080", "yuk": "1 -80 -23712 -4700672 -849364704 -147396942080 -25011821230080 -4180547975487488 -691113107064284384 -113306657061272435072", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/384","im":"0","approx_re":"0.00260416666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -320*X^4-832*X^3-640*X^2-224*X-32, 13312*X^4+120832*X^3+212992*X^2+125952*X+26368, 917504*X^4+786432*X^3-6291456*X^2-6881280*X-1900544, -262144*(2*X+1)*(56*X^3+468*X^2+646*X+249), -16777216*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.14\" from ...", "degz": 5, "h3": "16", "sol": "1 32 2448 273920 38525200 6236600832 1103685859584 207343941083136 40648001362459920 8227704225727500800", "n_discr_factors": "3", "c3": "40", "operator": "4 5 0 0 0 0 1 -32 -224 -640 -832 -320 26368 125952 212992 120832 13312 -1900544 -6881280 -6291456 786432 917504 -65273856 -299892736 -461373440 -260046848 -29360128 -754974720 -3623878656 -6106906624 -4294967296 -1073741824", "new_number": "5.14", "id": 221, "operator_tex": "\\theta^4-2^{5} x\\left(10\\theta^4+26\\theta^3+20\\theta^2+7\\theta+1\\right)+2^{8} x^{2}\\left(52\\theta^4+472\\theta^3+832\\theta^2+492\\theta+103\\right)+2^{16} x^{3}\\left(14\\theta^4+12\\theta^3-96\\theta^2-105\\theta-29\\right)-2^{18} x^{4}(2\\theta+1)(56\\theta^3+468\\theta^2+646\\theta+249)-2^{24} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "64 23360", "discriminant": "5 1 -320 13312 917504 -29360128 -1073741824", "aesz": "116", "n_sing_complex": "0", "inst_int": "", "c2h": "40", "hash": "0b366ad8c78b6697205c5a7fff270f5b", "dim_h": "6", "inst": " 64 12 23360 654490 53956288 3558145052 286700496448 24007522298674 2129883087617536 196912935173735108", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+256z)(32z+1)^2(64z-1)^2", "discr_factors": "-1073741824, -1/256+z, (z+1/32)^2, (z-1/64)^2", "dm_basis": null, "q": "0 1 -96 6816 -493568 32166192 -2164343808 130369476096 -8668096954368 469785092535960", "yuk": "1 64 160 630784 41887520 6744536064 768559962112 98338270281728 12291851458808608 1552684770873814528", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -9504*X^4-3456*X^3-3312*X^2-1584*X-240, 35085312*X^4+32845824*X^3+31394304*X^2+11653632*X+1566720, -62562336768*X^4-108355387392*X^3-104879702016*X^2-44395610112*X-6708510720, 10319560704*(3*X+1)*(3*X+2)*(576*X^2+1008*X+605), -213986410758144*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.19\" from ...", "degz": 5, "h3": "8", "sol": "1 240 173520 170016000 193451504400 240628308560640 317402033358009600 436312521711394099200 618316791739397858250000 896920994123625136380000000", "n_discr_factors": "3", "c3": "258", "operator": "4 5 0 0 0 0 1 -240 -1584 -3312 -3456 -9504 1566720 11653632 31394304 32845824 35085312 -6708510720 -44395610112 -104879702016 -108355387392 -62562336768 12486668451840 76994242412544 161697196670976 147115657396224 53496602689536 -8559456430325760 -50072820117405696 -94368007144341504 -69331597085638656 -17332899271409664", "new_number": "5.19", "id": 226, "operator_tex": "\\theta^4-2^{4} 3 x\\left(198\\theta^4+72\\theta^3+69\\theta^2+33\\theta+5\\right)+2^{9} 3^{2} x^{2}\\left(7614\\theta^4+7128\\theta^3+6813\\theta^2+2529\\theta+340\\right)-2^{14} 3^{5} x^{3}\\left(15714\\theta^4+27216\\theta^3+26343\\theta^2+11151\\theta+1685\\right)+2^{19} 3^{9} x^{4}(3\\theta+1)(3\\theta+2)(576\\theta^2+1008\\theta+605)-2^{27} 3^{13} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "-624 -43406256", "discriminant": "5 1 -9504 35085312 -62562336768 53496602689536 -17332899271409664", "aesz": "180", "n_sing_complex": "0", "inst_int": "", "c2h": "-4", "hash": "c174fb2dfd87730e48b4ae8b57ac66df", "dim_h": "1", "inst": " -624 -137190 -43406256 -18281817141 -9083828410320 -5027390292819630 -2991932148254917872 -1876509222997066884267 -1224964425683923272806016 -825344736194521839555090690", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+864z)(2592z-1)^2(1728z-1)^2", "discr_factors": "-17332899271409664, -1/864+z, (z-1/2592)^2, (z-1/1728)^2", "dm_basis": null, "q": "0 1 -624 254592 -98163712 30776299440 -10695691989504 2703910015437824 -1094862841462358016 125302358625851404440", "yuk": "1 -624 -1098144 -1171969536 -1170037395168 -1135478551290624 -1085916304422107136 -1026232726851436830720 -960772722175668282139872 -892999066323580067047555200", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2592","im":"0","approx_re":"0.000385802469136","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/864","im":"0","approx_re":"0.00115740740741","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, -2023-13872*X-37400*X^2-47056*X^3-24905*X^4, 30600+131852*X+250034*X^2+263164*X^3+124030*X^4, -91800-402084*X-691362*X^2-589356*X^3-233550*X^4, 122472+510300*X+815022*X^2+609444*X^3+193185*X^4, -59049*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 199/5.26", "degz": 5, "h3": "34", "sol": "1 7 183 7225 345079 18406257 1055299449 63665014791 3988953598455 257341097428513", "n_discr_factors": "3", "c3": "-88", "operator": "4 5 0 0 0 0 289 -2023 -13872 -37400 -47056 -24905 30600 131852 250034 263164 124030 -91800 -402084 -691362 -589356 -233550 122472 510300 815022 609444 193185 -59049 -236196 -354294 -236196 -59049", "new_number": "5.23", "id": 231, "operator_tex": "17^{2} \\theta^4-17 x\\left(1465\\theta^4+2768\\theta^3+2200\\theta^2+816\\theta+119\\right)+2 x^{2}\\left(62015\\theta^4+131582\\theta^3+125017\\theta^2+65926\\theta+15300\\right)-2 3^{3} x^{3}\\left(4325\\theta^4+10914\\theta^3+12803\\theta^2+7446\\theta+1700\\right)+3^{6} x^{4}\\left(265\\theta^4+836\\theta^3+1118\\theta^2+700\\theta+168\\right)-3^{10} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "126/17 11700/17", "discriminant": "5 289 -24905 124030 -233550 193185 -59049", "aesz": "194", "n_sing_complex": "0", "inst_int": "", "c2h": "76", "hash": "6bf19665aa6705f30ef88df42bc4eac4", "dim_h": "12", "inst": " 126/17 848/17 11700/17 229808/17 5539258/17 152369132/17 4596841530/17 148424442312/17 5048268480098/17 178910315960992/17", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+81z)(27z-17)^2(z-1)^2", "discr_factors": "-59049, (z-17/27)^2, -1/81+z, (z-1)^2", "dm_basis": null, "q": "0 1 -20 94 -1036 -16091 -560268 -18941924 -683866732 -25690637802", "yuk": "1 126/17 6910/17 316026/17 865566 692407376/17 32912055322/17 1576716644916/17 75993329178366/17 3680187722307468/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27","im":"0","approx_re":"0.62962962963","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -15-88*X-200*X^2-224*X^3-265*X^4, 2808+16308*X+36066*X^2+38316*X^3+25950*X^4, -86832-673596*X-1842498*X^2-2096604*X^3-1116270*X^4, 2478600+14128020*X+33287598*X^2+38319156*X^3+18155745*X^4, -17065161*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to \nOperator AESZ 194/5.23.", "degz": 5, "h3": null, "sol": "1 15 567 28113 1584279 96217065 6137825625 405392060655 27477962447895 1900205271755385", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -15 -88 -200 -224 -265 2808 16308 36066 38316 25950 -86832 -673596 -1842498 -2096604 -1116270 2478600 14128020 33287598 38319156 18155745 -17065161 -68260644 -102390966 -68260644 -17065161", "new_number": "5.26", "id": 234, "operator_tex": "\\theta^4-x\\left(15+88\\theta+200\\theta^2+224\\theta^3+265\\theta^4\\right)+2 3 x^{2}\\left(4325\\theta^4+6386\\theta^3+6011\\theta^2+2718\\theta+468\\right)-2 3^{2} x^{3}\\left(62015\\theta^4+116478\\theta^3+102361\\theta^2+37422\\theta+4824\\right)+3^{6} 17 x^{4}\\left(1465\\theta^4+3092\\theta^3+2686\\theta^2+1140\\theta+200\\right)-3^{10} 17^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-2 3820/9", "discriminant": "5 1 -265 25950 -1116270 18155745 -17065161", "aesz": "199", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f7b5c9e3ad50b0885d03c98d07a051f1", "dim_h": null, "inst": " -2 28 3820/9 3924 21606 -28252/3 -621714 36924812 13821031360/9 34301740012", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(z-1)(81z-1)^2(51z-1)^2", "discr_factors": "-17065161, (z-1/51)^2, (z-1/81)^2, z-1", "dm_basis": null, "q": "0 1 -28 282 -100 -909 -119796 -1068648 393948 226538829", "yuk": "1 -2 222 11458 251358 2700748 -2022462 -213247904 18905755102 1119503551618", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/51","im":"0","approx_re":"0.0196078431373","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 432*X^4+648*X^3+546*X^2+222*X+36, 69984*X^4+194400*X^3+238788*X^2+134784*X+28080, 5225472*X^4+19315584*X^3+28460160*X^2+18464112*X+4167936, 139968*(2*X+1)*(630*X^3+2241*X^2+2617*X+971), 15116544*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)]", "text": "This is operator \"5.45\" from ...", "degz": 5, "h3": null, "sol": "1 -36 2484 -208080 19221300 -1888001136 193742808336 -20566046090304 2244392272748340 -250758702128048400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 36 222 546 648 432 28080 134784 238788 194400 69984 4167936 18464112 28460160 19315584 5225472 135908928 638114112 1046260800 715516416 176359680 1587237120 7497805824 12456032256 8707129344 2176782336", "new_number": "5.45", "id": 255, "operator_tex": "\\theta^4+2 3 x\\left(72\\theta^4+108\\theta^3+91\\theta^2+37\\theta+6\\right)+2^{2} 3^{3} x^{2}\\left(648\\theta^4+1800\\theta^3+2211\\theta^2+1248\\theta+260\\right)+2^{4} 3^{5} x^{3}\\left(1344\\theta^4+4968\\theta^3+7320\\theta^2+4749\\theta+1072\\right)+2^{6} 3^{7} x^{4}(2\\theta+1)(630\\theta^3+2241\\theta^2+2617\\theta+971)+2^{8} 3^{10} x^{5}(2\\theta+1)(6\\theta+5)(6\\theta+7)(2\\theta+3)", "superseek": "-18 1568/3", "discriminant": "5 1 432 69984 5225472 176359680 2176782336", "aesz": "242", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "562c18d54c0080ebb0bb01b14a8241ce", "dim_h": null, "inst": " -18 99/2 1568/3 22698 -165960 2979728/3 -206159976 2947323474 -257219860828/3 4070912398110", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+144z)(36z+1)^2(108z+1)^2", "discr_factors": "2176782336, (z+1/108)^2, 1/144+z, (z+1/36)^2", "dm_basis": null, "q": "0 1 78 4923 276188 14265609 696221946 32564824691 1475431621176 65175435352755", "yuk": "1 -18 378 14094 1453050 -20745018 214554906 -70712871786 1509031071738 -62504426167110", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"0","approx_re":"-0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/6","7/6","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -240*X^4-960*X^3-980*X^2-500*X-100, -8704*X^4-28672*X^3-39104*X^2-25280*X-6480, 57344*X^4+491520*X^3+1180672*X^2+1090560*X+350720, 589824*X^4+3145728*X^3+5357568*X^2+3784704*X+962560, 1048576*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 247/5.48", "degz": 5, "h3": null, "sol": "1 4 44 400 5356 59504 851696 10373696 153465580 1971364144", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -100 -500 -980 -960 -240 -6480 -25280 -39104 -28672 -8704 350720 1090560 1180672 491520 57344 962560 3784704 5357568 3145728 589824 1048576 4194304 6291456 4194304 1048576", "new_number": "5.47", "id": 257, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(12\\theta^4+48\\theta^3+49\\theta^2+25\\theta+5\\right)-2^{4} x^{2}\\left(544\\theta^4+1792\\theta^3+2444\\theta^2+1580\\theta+405\\right)+2^{9} x^{3}\\left(112\\theta^4+960\\theta^3+2306\\theta^2+2130\\theta+685\\right)+2^{12} x^{4}\\left(144\\theta^4+768\\theta^3+1308\\theta^2+924\\theta+235\\right)+2^{20} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-4/5 -108/5", "discriminant": "5 25 -240 -8704 57344 589824 1048576", "aesz": "246", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f51a0c39f9179dc6a561b9afb6f9d85f", "dim_h": null, "inst": " -4/5 22/5 -108/5 694/5 -1040 45234/5 -435788/5 4527046/5 -49614888/5 566774264/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+16z)(16z+5)^2(16z-1)^2", "discr_factors": "1048576, (z-1/16)^2, (z+5/16)^2, 1/16+z", "dm_basis": null, "q": "0 1 -4 -26 368 -1919 5544 -26382 512960 -8419180", "yuk": "1 -4/5 172/5 -584 44588/5 -650004/5 1953560 -149475288/5 463578428 -36169256272/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/16","im":"0","approx_re":"-0.3125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 2304*X^4-3072*X^3-2112*X^2-576*X-80, 917504*X^4-4194304*X^3+802816*X^2+409600*X+106496, -570425344*X^4-402653184*X^3-348127232*X^2-113246208*X-22020096, -64424509440*X^4+123480309760*X^2+123480309760*X+37580963840, 27487790694400*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operaor AESZ 246/ 5.47", "degz": 5, "h3": null, "sol": "1 80 11024 1850624 343952656 68020122880 14026137862400 2980639208427520 647948081603714320 143375501435413402880", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -80 -576 -2112 -3072 2304 106496 409600 802816 -4194304 917504 -22020096 -113246208 -348127232 -402653184 -570425344 37580963840 123480309760 123480309760 0 -64424509440 27487790694400 109951162777600 164926744166400 109951162777600 27487790694400", "new_number": "5.48", "id": 258, "operator_tex": "\\theta^4+2^{4} x\\left(144\\theta^4-192\\theta^3-132\\theta^2-36\\theta-5\\right)+2^{13} x^{2}\\left(112\\theta^4-512\\theta^3+98\\theta^2+50\\theta+13\\right)-2^{20} x^{3}\\left(544\\theta^4+384\\theta^3+332\\theta^2+108\\theta+21\\right)-2^{30} 5 x^{4}\\left(12\\theta^4-23\\theta^2-23\\theta-7\\right)+2^{40} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "608 22293216", "discriminant": "5 1 2304 917504 -570425344 -64424509440 27487790694400", "aesz": "247", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "6c0503129f3500c26cf001c1908a17f7", "dim_h": null, "inst": " 608 -85544 22293216 -7629059800 3042437418016 -1338511583787272 630552444969044832 -312384713823657262168 160854766596487097431296 -85399168156054562446369592", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+256z)(1280z+1)^2(256z-1)^2", "discr_factors": "27487790694400, (z-1/256)^2, (z+1/1280)^2, 1/256+z", "dm_basis": null, "q": "0 1 -256 85856 -35256320 16388700720 -8241592643584 4371452849885696 -2409036448795197440 1366191528562010983064", "yuk": "1 608 -683744 601917440 -488260510944 380304677252608 -289118501496817664 216279488624382377984 -159940973478200778740960 117263124848839094629332224", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1280","im":"0","approx_re":"-0.00078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 2960*X^4+7840*X^3+6820*X^2+2900*X+500, 65536*X^4+514048*X^3+912256*X^2+606720*X+146800, -1703936*X^4-1966080*X^3+9461760*X^2+12779520*X+4348160, -16777216*X^4-159383552*X^3-299368448*X^2-211812352*X-52002816, 1048576*(4*X+5)^2*(4*X+3)^2]", "text": "This is operator \"5.50\" from ...", "degz": 5, "h3": null, "sol": "1 -20 684 -28496 1317100 -64879920 3335900400 -176877737280 9598031287020 -530304938966000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 500 2900 6820 7840 2960 146800 606720 912256 514048 65536 4348160 12779520 9461760 -1966080 -1703936 -52002816 -211812352 -299368448 -159383552 -16777216 235929600 1006632960 1577058304 1073741824 268435456", "new_number": "5.50", "id": 261, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(148\\theta^4+392\\theta^3+341\\theta^2+145\\theta+25\\right)+2^{4} x^{2}\\left(4096\\theta^4+32128\\theta^3+57016\\theta^2+37920\\theta+9175\\right)-2^{8} x^{3}\\left(6656\\theta^4+7680\\theta^3-36960\\theta^2-49920\\theta-16985\\right)-2^{15} x^{4}\\left(512\\theta^4+4864\\theta^3+9136\\theta^2+6464\\theta+1587\\right)+2^{20} x^{5}(4\\theta+5)^2(4\\theta+3)^2", "superseek": "-44/5 -596", "discriminant": "5 25 2960 65536 -1703936 -16777216 268435456", "aesz": "249", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "85592af20bbb190e37428e945664c2f3", "dim_h": null, "inst": " -44/5 -277/5 -596 -7236 -502128/5 -7562487/5 -122037828/5 -2070073956/5 -36496996024/5 -662519510308/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+16z)(64z+1)^2(64z-5)^2", "discr_factors": "268435456, (z+1/64)^2, 1/16+z, (z-5/64)^2", "dm_basis": null, "q": "0 1 36 1062 29328 785409 20599320 531771570 13558154304 342274846740", "yuk": "1 -44/5 -452 -80504/5 -463556 -62766044/5 -1633579912/5 -41858975048/5 -1059880183252/5 -5321262036400", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"5/64","im":"0","approx_re":"0.078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","3/4","5/4","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 400000*X^4-175000*X^3-81250*X^2+6250*X+2380, 132250000+3656250000*X+23195312500*X^2-22812500000*X^3+52187500000*X^4, 75714062500000+488964843750000*X+1298437500000000*X^2+1417968750000000*X^3+2445312500000000*X^4, 15869140625000000*(625*X^2+745*X+351)*(2*X+1)^2, 12893676757812500000000*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.53\" from ...", "degz": 5, "h3": null, "sol": "1 -2380 14400900 -112575082000 993749164922500 -9419730968893124880 93572929781844389276400 -960906214100015131981032000 10115066742494809792620946522500 -108540643022808782847792521340550000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 2380 6250 -81250 -175000 400000 132250000 3656250000 23195312500 -22812500000 52187500000 75714062500000 488964843750000 1298437500000000 1417968750000000 2445312500000000 5570068359375000000 34102783203125000000 79488525390625000000 86962890625000000000 39672851562500000000 116043090820312500000000 618896484375000000000000 1134643554687500000000000 825195312500000000000000 206298828125000000000000", "new_number": "5.53", "id": 264, "operator_tex": "\\theta^4+2 5 x\\left(40000\\theta^4-17500\\theta^3-8125\\theta^2+625\\theta+238\\right)+2^{2} 5^{6} x^{2}\\left(835000\\theta^4-365000\\theta^3+371125\\theta^2+58500\\theta+2116\\right)+2^{4} 5^{11} x^{3}\\left(3130000\\theta^4+1815000\\theta^3+1662000\\theta^2+625875\\theta+96914\\right)+2^{6} 5^{19} 13 x^{4}(625\\theta^2+745\\theta+351)(2\\theta+1)^2+2^{8} 5^{25} 13^{2} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "82450 22323908689400", "discriminant": "5 1 400000 52187500000 2445312500000000 39672851562500000000 206298828125000000000000", "aesz": "259", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8b20756bb52131d41c44fd699c9e3a24", "dim_h": null, "inst": " 82450 -976323150 22323908689400 -680892969306394000 24398212781075814030620 -969087214048020502240150600 41345463913873717505343882068100 -1859177372549309922974233232512790000 87035939102401694693524574291673273771250 -4206265451231182857338162131228756421329264740", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+50000z)(12500z+1)^2(162500z+1)^2", "discr_factors": "206298828125000000000000, 1/50000+z, (z+1/162500)^2, (z+1/12500)^2", "dm_basis": null, "q": "0 1 -3270 160052775 -5961922685500 254841611325031875 -11745037486481708090154 570167877292161056523362785 -28740506727082296147519350275800 1490544150422301997678486922128986750", "yuk": "1 82450 -7810502750 602745534696250 -43577150043419718750 3049776597634476753909950 -209322838234371825746148418550 14181494122458685104332951549440750 -951898814745246680606384565089968198750 63449199605650835431579414659232562113937500", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12500","im":"0","approx_re":"-8e-05","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/50000","im":"0","approx_re":"-2e-05","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/162500","im":"0","approx_re":"-6.15384615385e-06","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 5840*X^4+7360*X^3+5780*X^2+2100*X+300, 395776*X^4+698368*X^3+622976*X^2+303680*X+59760, 11575296*X^4+26542080*X^3+29159424*X^2+15344640*X+3018240, 331776*(2*X+1)*(232*X^3+588*X^2+590*X+207), 191102976*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.55\" from ...", "degz": 5, "h3": null, "sol": "1 -12 492 -32880 2743020 -257986512 26170078704 -2797796574144 310918611526380 -35596887110962320", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 300 2100 5780 7360 5840 59760 303680 622976 698368 395776 3018240 15344640 29159424 26542080 11575296 68677632 333103104 586579968 467140608 153944064 573308928 2675441664 4395368448 3057647616 764411904", "new_number": "5.55", "id": 266, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(292\\theta^4+368\\theta^3+289\\theta^2+105\\theta+15\\right)+2^{4} x^{2}\\left(24736\\theta^4+43648\\theta^3+38936\\theta^2+18980\\theta+3735\\right)+2^{9} 3^{2} x^{3}\\left(2512\\theta^4+5760\\theta^3+6328\\theta^2+3330\\theta+655\\right)+2^{12} 3^{4} x^{4}(2\\theta+1)(232\\theta^3+588\\theta^2+590\\theta+207)+2^{18} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-76/5 -24836/5", "discriminant": "5 25 5840 395776 11575296 153944064 764411904", "aesz": "261", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "adadb5e720011482371f48cfa73dab99", "dim_h": null, "inst": " -76/5 1103/5 -24836/5 847456/5 -36542448/5 1806132437/5 -97926149796/5 5684771847792/5 -69550113320856 22170307605956652/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+144z)(16z+1)^2(144z+5)^2", "discr_factors": "764411904, (z+1/16)^2, (z+5/144)^2, 1/144+z", "dm_basis": null, "q": "0 1 36 422 11664 -77567 12260376 -650003662 43465220160 -2919137690348", "yuk": "1 -76/5 8748/5 -670648/5 54245932/5 -4567806076/5 390123944568/5 -33588669380104/5 2910603240315436/5 -253510163055190768/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-5/144","im":"0","approx_re":"-0.0347222222222","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"0","approx_re":"-0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -768*X^4-960*X^3-876*X^2-396*X-72, 24832*X^4+56320*X^3+67456*X^2+40320*X+9600, -385024*X^4-1179648*X^3-1626112*X^2-1069056*X-270336, 2883584*X^4+10485760*X^3+15335424*X^2+10092544*X+2490368, -8388608*(X+1)^4]", "text": "There is a second MUM-point at infinity,corresponding to Operator AESZ 56/5.9\nA-Incarnation: (2,0),(2.0),(0,2),(0,2),(1,1).intersection in $P^4 \\times P^4$", "degz": 5, "h3": "96", "sol": "1 8 104 1664 30376 611008 13247744 304586752 7331997352 182972345408", "n_discr_factors": "3", "c3": "-32", "operator": "4 5 0 0 0 0 9 -72 -396 -876 -960 -768 9600 40320 67456 56320 24832 -270336 -1069056 -1626112 -1179648 -385024 2490368 10092544 15335424 10485760 2883584 -8388608 -33554432 -50331648 -33554432 -8388608", "new_number": "5.6", "id": 282, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(64\\theta^4+80\\theta^3+73\\theta^2+33\\theta+6\\right)+2^{7} x^{2}\\left(194\\theta^4+440\\theta^3+527\\theta^2+315\\theta+75\\right)-2^{12} x^{3}\\left(94\\theta^4+288\\theta^3+397\\theta^2+261\\theta+66\\right)+2^{17} x^{4}\\left(22\\theta^4+80\\theta^3+117\\theta^2+77\\theta+19\\right)-2^{23} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "4/3 44/3", "discriminant": "5 9 -768 24832 -385024 2883584 -8388608", "aesz": "23", "n_sing_complex": "0", "inst_int": "", "c2h": "96", "hash": "65760d446ba9c3da587ce5bd9912745e", "dim_h": "24", "inst": " 4/3 13/3 44/3 278/3 2336/3 19855/3 61284 618890 19733168/3 217792936/3", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+32z)(16z-1)^2(32z-3)^2", "discr_factors": "-8388608, -1/32+z, (z-3/32)^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 -12 94 -624 3117 -15528 48786 -336064 -572410", "yuk": "1 4/3 36 1192/3 17900/3 292004/3 1429992 63061240/3 950632940/3 14385480664/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32","im":"0","approx_re":"0.09375","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 1792*X^4-1024*X^3-512*X^2+16, 917504*X^4-1048576*X^3+49152*X^2-163840*X-65536, 33554432*X^4-402653184*X^3-457179136*X^2-276824064*X-57671680, -1610612736*(2*X+1)*(10*X+7)*(2*X^2+4*X+3), -2473901162496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as double octic D.O.20\n", "degz": 5, "h3": "16", "sol": "1 -16 4368 -344320 107445520 -12148367616 3860075847936 -516712812515328 164039018022182160 -24277289247356104960", "n_discr_factors": "3", "c3": "320", "operator": "4 5 0 0 0 0 1 16 0 -512 -1024 1792 -65536 -163840 49152 -1048576 917504 -57671680 -276824064 -457179136 -402653184 33554432 -33822867456 -161061273600 -273804165120 -206158430208 -64424509440 -7421703487488 -34634616274944 -56899726737408 -39582418599936 -9895604649984", "new_number": "5.90", "id": 305, "operator_tex": "\\theta^4+2^{4} x\\left(112\\theta^4-64\\theta^3-32\\theta^2+1\\right)+2^{14} x^{2}\\left(56\\theta^4-64\\theta^3+3\\theta^2-10\\theta-4\\right)+2^{20} x^{3}\\left(32\\theta^4-384\\theta^3-436\\theta^2-264\\theta-55\\right)-2^{29} 3 x^{4}(2\\theta+1)(10\\theta+7)(2\\theta^2+4\\theta+3)-2^{38} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "352 3284448", "discriminant": "5 1 1792 917504 33554432 -64424509440 -9895604649984", "aesz": "330", "n_sing_complex": "0", "inst_int": "", "c2h": "16", "hash": "ba5b66d5fe92237e6416a117563571e9", "dim_h": "4", "inst": " 352 -23368 3284448 -578330224 120252731680 -27415759432616 6701726151914080 -1720803298688523376 459238567520109337856 -126317379213699482253720", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+256z)(256z+1)^2(768z+1)^2", "discr_factors": "-9895604649984, (z+1/256)^2, (z+1/768)^2, -1/256+z", "dm_basis": null, "q": "0 1 -64 1632 -436224 141710896 -43304871936 12756718699008 -3828584306835456 1163560985061276312", "yuk": "1 352 -186592 88680448 -37013320928 15031591460352 -5921803948951552 2298692070106529792 -881051288965537289440 334784915722159795977472", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768","im":"0","approx_re":"-0.00130208333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -352*X^4-128*X^3-144*X^2-80*X-16, 48128*X^4+45056*X^3+49664*X^2+23040*X+4096, -3178496*X^4-5505024*X^3-6078464*X^2-3194880*X-671744, 100663296*X^4+276824064*X^3+341311488*X^2+202899456*X+47185920, -1207959552*(X+1)^4]", "text": "There is a second MUM-point hiding at infinity, corresponding to Operator...", "degz": 5, "h3": "128", "sol": "1 16 464 17152 725776 33449216 1633531136 83137654784 4362766699792 234378319042816", "n_discr_factors": "3", "c3": "544", "operator": "4 5 0 0 0 0 1 -16 -80 -144 -128 -352 4096 23040 49664 45056 48128 -671744 -3194880 -6078464 -5505024 -3178496 47185920 202899456 341311488 276824064 100663296 -1207959552 -4831838208 -7247757312 -4831838208 -1207959552", "new_number": "5.9", "id": 315, "operator_tex": "\\theta^4-2^{4} x\\left(22\\theta^4+8\\theta^3+9\\theta^2+5\\theta+1\\right)+2^{9} x^{2}\\left(94\\theta^4+88\\theta^3+97\\theta^2+45\\theta+8\\right)-2^{14} x^{3}\\left(194\\theta^4+336\\theta^3+371\\theta^2+195\\theta+41\\right)+2^{19} 3 x^{4}\\left(64\\theta^4+176\\theta^3+217\\theta^2+129\\theta+30\\right)-2^{27} 3^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-16 -3280", "discriminant": "5 1 -352 48128 -3178496 100663296 -1207959552", "aesz": "56", "n_sing_complex": "0", "inst_int": "", "c2h": "-64", "hash": "58a7f24bf18cb98b526885069667f9f0", "dim_h": "16", "inst": " -16 -178 -3280 -76197 -2046896 -60450314 -1908455824 -63296186075 -2180416654720 -77402940045830", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+32z)(96z-1)^2(64z-1)^2", "discr_factors": "-1207959552, -1/32+z, (z-1/64)^2, (z-1/96)^2", "dm_basis": null, "q": "0 1 -16 128 -1024 1968 -48640 781312 74416128 4319629464", "yuk": "1 -16 -1440 -88576 -4878048 -255862016 -13057357824 -654600347648 -32407652148448 -1589523741379456", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96","im":"0","approx_re":"0.0104166666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 20+96*X+180*X^2+168*X^3+276*X^4, 7824+31840*X+52976*X^2+43968*X^3+33552*X^4, 1285120+4602624*X+6724864*X^2+4929024*X^3+2365440*X^4, 113224704+369214464*X+481683456*X^2+310978560*X^3+107043840*X^4, 5938819072+18001223680*X+21321592832*X^2+12174974976*X^3+3244953600*X^4, 193460092928+552328888320*X+601901252608*X^2+306625511424*X^3+66594422784*X^4, 3928442798080+10662611779584*X+10803819577344*X^2+4961730035712*X^3+910775549952*X^4, 48183064395776+125126569885696*X+118802849202176*X^2+49666477522944*X^3+7911030915072*X^4, 385875968*(2*X+3)*(50786*X^3+284985*X^2+515497*X+282264), 20874346364928*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.2\" from ...", "degz": 10, "h3": null, "sol": "1 -20 436 -9872 228292 -5360720 127776880 -3100387520 76926678340 -1960844809040", "n_discr_factors": "5", "c3": null, "operator": "4 10 0 0 0 0 1 20 96 180 168 276 7824 31840 52976 43968 33552 1285120 4602624 6724864 4929024 2365440 113224704 369214464 481683456 310978560 107043840 5938819072 18001223680 21321592832 12174974976 3244953600 193460092928 552328888320 601901252608 306625511424 66594422784 3928442798080 10662611779584 10803819577344 4961730035712 910775549952 48183064395776 125126569885696 118802849202176 49666477522944 7911030915072 326756682694656 814591500091392 727742395973632 278729016213504 39194193821696 939345586421760 2254429407412224 1899565519208448 667979083677696 83497385459712", "new_number": "10.2", "id": 318, "operator_tex": "\\theta^4+2^{2} x\\left(69\\theta^4+42\\theta^3+45\\theta^2+24\\theta+5\\right)+2^{4} x^{2}\\left(2097\\theta^4+2748\\theta^3+3311\\theta^2+1990\\theta+489\\right)+2^{8} x^{3}\\left(9240\\theta^4+19254\\theta^3+26269\\theta^2+17979\\theta+5020\\right)+2^{10} 3 x^{4}\\left(34845\\theta^4+101230\\theta^3+156798\\theta^2+120187\\theta+36857\\right)+2^{12} x^{5}\\left(792225\\theta^4+2972406\\theta^3+5205467\\theta^2+4394830\\theta+1449907\\right)+2^{14} x^{6}\\left(4064601\\theta^4+18714936\\theta^3+36737137\\theta^2+33711480\\theta+11807867\\right)+2^{18} x^{7}\\left(3474333\\theta^4+18927498\\theta^3+41213301\\theta^2+40674636\\theta+14985820\\right)+2^{20} x^{8}\\left(7544547\\theta^4+47365644\\theta^3+113299226\\theta^2+119329996\\theta+45950951\\right)+2^{24} 23 x^{9}(2\\theta+3)(50786\\theta^3+284985\\theta^2+515497\\theta+282264)+2^{28} 3 7^{2} 23^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 2252/9", "discriminant": "10 1 276 33552 2365440 107043840 3244953600 66594422784 910775549952 7911030915072 39194193821696 83497385459712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4a65f8c6ad1f8eaf4aa56879ebb94205", "dim_h": null, "inst": " 4 -31 2252/9 -11109/4 33312 -4091081/9 6559596 -399687825/4 1577400224 -25647405040", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z+1)(8z+1)(784z^2+52z+1)(32z+1)^2(736z^2+64z+1)^2", "discr_factors": "83497385459712, z+1/8, z+1/24, (z+1/32)^2, (z^2+2/23*z+1/736)^2, z^2+13/196*z+1/784", "dm_basis": null, "q": "0 1 16 246 3296 45125 566688 7548010 89656192 1211420178", "yuk": "1 4 -244 6760 -177988 4164004 -98179432 2249941432 -51160219588 1149924770056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/23-3/184*2^(1/2)","im":"0","approx_re":"-0.066536","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/392","im":"-3/392*3^(1/2)","approx_re":"-0.0331632653061","approx_im":"-0.013255","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/392","im":"3/392*3^(1/2)","approx_re":"-0.0331632653061","approx_im":"0.013255","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/23+3/184*2^(1/2)","im":"0","approx_re":"-0.02042","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -321*X^4-258*X^3-258*X^2-129*X-26, 74028*X^3+14112+55150*X+89219*X^2+46467*X^4, -2763616-9502728*X-3994080*X^4-9477984*X^3-13326472*X^2, 225727920*X^4+710675040*X^3+1140231264*X^2+905625648*X+286997664, -34390390656*X^3-18170011648-53733114688*X-61977989504*X^2-8763336000*X^4, 742436462336+2082580125696*X+236647498944*X^4+1113707956224*X^3+2228596709440*X^2, -4388517983232*X^4-24133481490432*X^3-53161009356288*X^2-53101508209152*X-19806669712384, 337377634074624*X^3+335043229626368+862910484692992*X+812804507672576*X^2+53476447629312*X^4, -8978432*(2*X+3)*(21527774*X^3+121431015*X^2+220937755*X+121634574), 314635717705728*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.3\" from ...", "degz": 10, "h3": null, "sol": "1 26 730 21320 638506 19464236 601160176 18749438720 588987246250 18594853518356", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -26 -129 -258 -258 -321 14112 55150 89219 74028 46467 -2763616 -9502728 -13326472 -9477984 -3994080 286997664 905625648 1140231264 710675040 225727920 -18170011648 -53733114688 -61977989504 -34390390656 -8763336000 742436462336 2082580125696 2228596709440 1113707956224 236647498944 -19806669712384 -53101508209152 -53161009356288 -24133481490432 -4388517983232 335043229626368 862910484692992 812804507672576 337377634074624 53476447629312 -3276263254523904 -8135199331516416 -7238129551605760 -2760377186648064 -386571309940736 14158607296757760 33980657512218624 28631850311221248 10068342966583296 1258542870822912", "new_number": "10.3", "id": 319, "operator_tex": "\\theta^4-x\\left(321\\theta^4+258\\theta^3+258\\theta^2+129\\theta+26\\right)+x^{2}\\left(74028\\theta^3+14112+55150\\theta+89219\\theta^2+46467\\theta^4\\right)-2^{3} x^{3}\\left(499260\\theta^4+1184748\\theta^3+1665809\\theta^2+1187841\\theta+345452\\right)+2^{4} 3 x^{4}\\left(4702665\\theta^4+14805730\\theta^3+23754818\\theta^2+18867201\\theta+5979118\\right)-2^{6} x^{5}\\left(136927125\\theta^4+537349854\\theta^3+968406086\\theta^2+839579917\\theta+283906432\\right)+2^{6} x^{6}\\left(3697617171\\theta^4+17401686816\\theta^3+34821823585\\theta^2+32540314464\\theta+11600569724\\right)-2^{9} x^{7}\\left(8571324186\\theta^4+47135706036\\theta^3+103830096399\\theta^2+103713883221\\theta+38684901782\\right)+2^{12} x^{8}\\left(13055773347\\theta^4+82367586444\\theta^3+198438600506\\theta^2+210671505052\\theta+81797663483\\right)-2^{16} 137 x^{9}(2\\theta+3)(21527774\\theta^3+121431015\\theta^2+220937755\\theta+121634574)+2^{20} 3 73^{2} 137^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "2 421/9", "discriminant": "10 1 -321 46467 -3994080 225727920 -8763336000 236647498944 -4388517983232 53476447629312 -386571309940736 1258542870822912", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "5219414e025733d8e128028821370b4b", "dim_h": null, "inst": " 2 -3/2 421/9 -519/2 285 -77417/6 98268 -807195/2 20513023/3 -58806463", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z-1)(42632z^3-3675z^2+105z-1)(32z-1)^2(1096z^2-64z+1)^2", "discr_factors": "1258542870822912, z-1/24, z^3-3675/42632*z^2+105/42632*z-1/42632, (z^2-8/137*z+1/1096)^2, (z-1/32)^2", "dm_basis": null, "q": "0 1 -25 552 -11513 232073 -4559826 87946426 -1672297261 31438664415", "yuk": "1 2 -10 1265 -16618 35627 -2785759 33705926 -206658538 4984665854", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-105/85264*3^(2/3)-27/85264*3^(1/3)+1225/42632","im":"-1/2*3^(1/2)*(105/42632*3^(2/3)-27/42632*3^(1/3))","approx_re":"0.025716","approx_im":"-0.003646","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-105/85264*3^(2/3)-27/85264*3^(1/3)+1225/42632","im":"1/2*3^(1/2)*(105/42632*3^(2/3)-27/42632*3^(1/3))","approx_re":"0.025716","approx_im":"0.003646","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"4/137","im":"-3/548*2^(1/2)","approx_re":"0.029197080292","approx_im":"-0.007742","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"4/137","im":"3/548*2^(1/2)","approx_re":"0.029197080292","approx_im":"0.007742","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"105/42632*3^(2/3)+27/42632*3^(1/3)+1225/42632","im":"0","approx_re":"0.034771","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 14+63*X+102*X^2+78*X^3+231*X^4, 2832+13390*X+24563*X^2+19308*X^3+21987*X^4, 352672+1419720*X+2324296*X^2+1805664*X^3+1125600*X^4, 23999328+84832080*X+121146528*X^2+84946080*X^3+34238160*X^4, 1011937792+3163755712*X+3898985600*X^2+2317524096*X^3+658987200*X^4, 29930864384+82679261184*X+86846564416*X^2+42229069824*X^3+8773650624*X^4, 636308921344+1594777115136*X+1456912535040*X^2+585238996992*X^3+91840361472*X^4, 8156255989760+19399756595200*X+16303641829376*X^2+5801678782464*X^3+757052485632*X^4, 3080192*(2*X+3)*(622034*X^3+4130865*X^2+8390461*X+4891218), 2008235900928*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.4\" from ...", "degz": 10, "h3": null, "sol": "1 -14 250 -5192 116266 -2739044 67228336 -1704859520 44385556138 -1180977725564", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 14 63 102 78 231 2832 13390 24563 19308 21987 352672 1419720 2324296 1805664 1125600 23999328 84832080 121146528 84946080 34238160 1011937792 3163755712 3898985600 2317524096 658987200 29930864384 82679261184 86846564416 42229069824 8773650624 636308921344 1594777115136 1456912535040 585238996992 91840361472 8156255989760 19399756595200 16303641829376 5801678782464 757052485632 45197671661568 107664473653248 89860033675264 31195667103744 3831968301056 90370615541760 216889477300224 182749466984448 64263548829696 8032943603712", "new_number": "10.4", "id": 320, "operator_tex": "\\theta^4+x\\left(14+63\\theta+102\\theta^2+78\\theta^3+231\\theta^4\\right)+x^{2}\\left(2832+13390\\theta+24563\\theta^2+19308\\theta^3+21987\\theta^4\\right)+2^{3} x^{3}\\left(140700\\theta^4+225708\\theta^3+290537\\theta^2+177465\\theta+44084\\right)+2^{4} 3 x^{4}\\left(713295\\theta^4+1769710\\theta^3+2523886\\theta^2+1767335\\theta+499986\\right)+2^{6} x^{5}\\left(10296675\\theta^4+36211314\\theta^3+60921650\\theta^2+49433683\\theta+15811528\\right)+2^{6} x^{6}\\left(137088291\\theta^4+659829216\\theta^3+1356977569\\theta^2+1291863456\\theta+467669756\\right)+2^{9} x^{7}\\left(179375706\\theta^4+1143044916\\theta^3+2845532295\\theta^2+3114799053\\theta+1242790862\\right)+2^{12} x^{8}\\left(184827267\\theta^4+1416425484\\theta^3+3980381306\\theta^2+4736268700\\theta+1991273435\\right)+2^{16} 47 x^{9}(2\\theta+3)(622034\\theta^3+4130865\\theta^2+8390461\\theta+4891218)+2^{20} 3 17^{2} 47^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "10 7709/9", "discriminant": "10 1 231 21987 1125600 34238160 658987200 8773650624 91840361472 757052485632 3831968301056 8032943603712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6162ae56594cb4ca6830174a8ed00300", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z+1)(2312z^3+75z^2+15z+1)(32z+1)^2(376z^2+64z+1)^2", "discr_factors": "8032943603712, (z^2+8/47*z+1/376)^2, z^3+75/2312*z^2+15/2312*z+1/2312, (z+1/32)^2, z+1/24", "dm_basis": null, "q": "0 1 7 48 167 8969 -74274 2936074 -67129997 1764498447", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-4/47-9/188*2^(1/2)","im":"0","approx_re":"-0.152808","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-81/2312*3^(2/3)+45/2312*3^(1/3)-25/2312","im":"0","approx_re":"-0.055617","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/47+9/188*2^(1/2)","im":"0","approx_re":"-0.017405","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"81/4624*3^(2/3)-45/4624*3^(1/3)-25/2312","im":"1/2*3^(1/2)*(-81/2312*3^(2/3)-45/2312*3^(1/3))","approx_re":"0.011589","approx_im":"-0.087422","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"81/4624*3^(2/3)-45/4624*3^(1/3)-25/2312","im":"-1/2*3^(1/2)*(-81/2312*3^(2/3)-45/2312*3^(1/3))","approx_re":"0.011589","approx_im":"0.087422","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -5-36*X-102*X^2-132*X^3-42*X^4, 321+2500*X+5078*X^2+2676*X^3-126*X^4, 58511+193314*X+255284*X^2+165228*X^3+36750*X^4, 1611441+4909812*X+5455362*X^2+2364420*X^3+447228*X^4, 18978161+48287282*X+41352784*X^2+10485348*X^3-282726*X^4, 75240839+129474252*X+18361102*X^2-64936644*X^3-20164434*X^4, -192652267-790586058*X-1080753300*X^2-555817116*X^3-53729334*X^4, -1469856277-3396870740*X-2385867946*X^2-267688500*X^3+184083363*X^4, 130*(2*X+3)*(3678542*X^3+13483935*X^2+14333215*X+4727112), 270180300*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.5\" from ...", "degz": 10, "h3": null, "sol": "1 5 79 791 -9329 -1034845 -45123875 -1431367555 -32543228945 -266417680645", "n_discr_factors": "5", "c3": null, "operator": "4 10 0 0 0 0 1 -5 -36 -102 -132 -42 321 2500 5078 2676 -126 58511 193314 255284 165228 36750 1611441 4909812 5455362 2364420 447228 18978161 48287282 41352784 10485348 -282726 75240839 129474252 18361102 -64936644 -20164434 -192652267 -790586058 -1080753300 -555817116 -53729334 -1469856277 -3396870740 -2385867946 -267688500 184083363 1843573680 6819002970 8985370550 4940454480 956420920 12158113500 29179472400 24586407300 8645769600 1080721200", "new_number": "10.5", "id": 321, "operator_tex": "\\theta^4-x\\left(5+36\\theta+102\\theta^2+132\\theta^3+42\\theta^4\\right)+x^{2}\\left(321+2500\\theta+5078\\theta^2+2676\\theta^3-126\\theta^4\\right)+x^{3}\\left(58511+193314\\theta+255284\\theta^2+165228\\theta^3+36750\\theta^4\\right)+3 x^{4}\\left(149076\\theta^4+788140\\theta^3+1818454\\theta^2+1636604\\theta+537147\\right)+x^{5}\\left(18978161+48287282\\theta+41352784\\theta^2+10485348\\theta^3-282726\\theta^4\\right)+x^{6}\\left(75240839+129474252\\theta+18361102\\theta^2-64936644\\theta^3-20164434\\theta^4\\right)-x^{7}\\left(192652267+790586058\\theta+1080753300\\theta^2+555817116\\theta^3+53729334\\theta^4\\right)-x^{8}\\left(1469856277+3396870740\\theta+2385867946\\theta^2+267688500\\theta^3-184083363\\theta^4\\right)+2 5 13 x^{9}(2\\theta+3)(3678542\\theta^3+13483935\\theta^2+14333215\\theta+4727112)+2^{2} 3 5^{2} 13^{2} 73^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "8 -830/9", "discriminant": "10 1 -42 -126 36750 447228 -282726 -20164434 -53729334 184083363 956420920 1080721200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "26cb7b62aea8fead9548cb08c510d8cc", "dim_h": null, "inst": " 8 -45/2 -830/9 -5301/2 2790 787217/6 7180248 115903851/2 -289645460/3 -32500367598", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "8", "laurent": null, "discriminant_tex": "(3z+1)(5329z^3+1587z^2-69z+1)(13z+1)^2(4z+1)^2(5z-1)^2", "discr_factors": "1080721200, (z+1/13)^2, (z-1/5)^2, z+1/3, (z+1/4)^2, z^3+1587/5329*z^2-69/5329*z+1/5329", "dm_basis": null, "q": "0 1 -16 210 -1130 5999 2238 -1276979 -17197546 87824205", "yuk": "1 8 -172 -2482 -169804 348758 28337150 2462825072 29671216052 -70383849262", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-324/5329*3^(2/3)-414/5329*3^(1/3)-529/5329","im":"0","approx_re":"-0.337782","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/13","im":"0","approx_re":"-0.0769230769231","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"162/5329*3^(2/3)+207/5329*3^(1/3)-529/5329","im":"1/2*3^(1/2)*(-324/5329*3^(2/3)+414/5329*3^(1/3))","approx_re":"0.019989","approx_im":"-0.01249","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"162/5329*3^(2/3)+207/5329*3^(1/3)-529/5329","im":"-1/2*3^(1/2)*(-324/5329*3^(2/3)+414/5329*3^(1/3))","approx_re":"0.019989","approx_im":"0.01249","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5","im":"0","approx_re":"0.2","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -24*X^3+84*X^4+4+12*X, -896*X-528-256*X^2-1536*X^3+2016*X^4, -10432-14464*X^2-21504*X^3+5376*X^4-23424*X, 3072000*X^3+239616*X^4+2500608+7127040*X+7557120*X^2, 528994304*X+200302592+512352256*X^2+205283328*X^3+28790784*X^4, 14929625088*X+4824367104*X^3+13212516352*X^2+6033784832+631603200*X^4, 183785619456*X+46446673920*X^3+146370330624*X^2+79572303872+5081923584*X^4, 340338409472+717557334016*X+9616490496*X^4+122922467328*X^3+490150559744*X^2, -8388608*(2*X+3)*(2114*X^3+16713*X^2+37111*X+22497), 5033164800*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.6\" from ...", "degz": 10, "h3": null, "sol": "1 -4 52 -688 2500 -124624 660976 -2006848 504491332 4419175280", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 4 12 0 -24 84 -528 -896 -256 -1536 2016 -10432 -23424 -14464 -21504 5376 2500608 7127040 7557120 3072000 239616 200302592 528994304 512352256 205283328 28790784 6033784832 14929625088 13212516352 4824367104 631603200 79572303872 183785619456 146370330624 46446673920 5081923584 340338409472 717557334016 490150559744 122922467328 9616490496 -566155542528 -1311365922816 -1043215679488 -333598162944 -35467034624 226492416000 543581798400 458017996800 161061273600 20132659200", "new_number": "10.6", "id": 322, "operator_tex": "\\theta^4+2^{2} x\\left(21\\theta^4-6\\theta^3+3\\theta+1\\right)+2^{4} x^{2}\\left(126\\theta^4-96\\theta^3-16\\theta^2-56\\theta-33\\right)+2^{6} x^{3}\\left(84\\theta^4-336\\theta^3-226\\theta^2-366\\theta-163\\right)+2^{11} 3 x^{4}\\left(39\\theta^4+500\\theta^3+1230\\theta^2+1160\\theta+407\\right)+2^{12} x^{5}\\left(7029\\theta^4+50118\\theta^3+125086\\theta^2+129149\\theta+48902\\right)+2^{14} x^{6}\\left(38550\\theta^4+294456\\theta^3+806428\\theta^2+911232\\theta+368273\\right)+2^{16} x^{7}\\left(77544\\theta^4+708720\\theta^3+2233434\\theta^2+2804346\\theta+1214177\\right)+2^{20} x^{8}\\left(9171\\theta^4+117228\\theta^3+467444\\theta^2+684316\\theta+324572\\right)-2^{23} x^{9}(2\\theta+3)(2114\\theta^3+16713\\theta^2+37111\\theta+22497)+2^{26} 3 5^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "8 2200/9", "discriminant": "10 1 84 2016 5376 239616 28790784 631603200 5081923584 9616490496 -35467034624 20132659200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b5aa0abf76ddfbd280ec220a43822aa4", "dim_h": null, "inst": " 8 -75/2 2200/9 -8117/2 47936 -4052675/6 11499480 -175321542 2998366528 -53613060132", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z+1)(6400z^3+192z^2-24z+1)(16z+1)^2(32z^2-32z-1)^2", "discr_factors": "20132659200, (z+1/16)^2, z+1/12, z^3+3/100*z^2-3/800*z+1/6400, (z^2-z-1/32)^2", "dm_basis": null, "q": "0 1 -4 6 464 3333 -67896 874138 -18622400 293110866", "yuk": "1 8 -292 6608 -260036 5992008 -145889992 3944321648 -89764889540 2185809205520", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-9/200*2^(1/3)-3/200*2^(2/3)-1/100","im":"0","approx_re":"-0.090507","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2-3/8*2^(1/2)","im":"0","approx_re":"-0.03033","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"9/400*2^(1/3)+3/400*2^(2/3)-1/100","im":"1/8*3^(1/2)*(-9/50*2^(1/3)+3/50*2^(2/3))","approx_re":"0.030254","approx_im":"-0.02848","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/400*2^(1/3)+3/400*2^(2/3)-1/100","im":"-1/8*3^(1/2)*(-9/50*2^(1/3)+3/50*2^(2/3))","approx_re":"0.030254","approx_im":"0.02848","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2+3/8*2^(1/2)","im":"0","approx_re":"1.03033","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16-84*X-180*X^2-192*X^3-192*X^4, 5952+23296*X+37760*X^2+31296*X^3+16704*X^4, -694592-2356032*X-3250880*X^2-2280192*X^3-865920*X^4, 40713984+127266816*X+158593536*X^2+98319360*X^3+29657088*X^4, -1449089024-4294181888*X-4970619904*X^2-2780086272*X^3-701853696*X^4, 34139856896+96861929472*X+105196011520*X^2+53599420416*X^3+11625332736*X^4, -543702794240-1480077656064*X-1512235352064*X^2-705261797376*X^3-132992630784*X^4, 5684261224448+14858703339520*X+14290280382464*X^2+6101819719680*X^3+1003990745088*X^4, -13107200*(2*X+3)*(171838*X^3+939735*X^2+1668155*X+905358), 2272788480000*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.7\" from ...", "degz": 10, "h3": null, "sol": "1 16 292 5728 115012 2225536 37164976 345546112 -10171713212 -843836295488", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -16 -84 -180 -192 -192 5952 23296 37760 31296 16704 -694592 -2356032 -3250880 -2280192 -865920 40713984 127266816 158593536 98319360 29657088 -1449089024 -4294181888 -4970619904 -2780086272 -701853696 34139856896 96861929472 105196011520 53599420416 11625332736 -543702794240 -1480077656064 -1512235352064 -705261797376 -132992630784 5684261224448 14858703339520 14290280382464 6101819719680 1003990745088 -35600125132800 -89327940403200 -80681566208000 -31391534284800 -4504630067200 102275481600000 245461155840000 206823751680000 72729231360000 9091153920000", "new_number": "10.7", "id": 323, "operator_tex": "\\theta^4-2^{2} x\\left(48\\theta^4+48\\theta^3+45\\theta^2+21\\theta+4\\right)+2^{6} x^{2}\\left(261\\theta^4+489\\theta^3+590\\theta^2+364\\theta+93\\right)-2^{6} x^{3}\\left(13530\\theta^4+35628\\theta^3+50795\\theta^2+36813\\theta+10853\\right)+2^{8} 3 x^{4}\\left(38616\\theta^4+128020\\theta^3+206502\\theta^2+165712\\theta+53013\\right)-2^{10} x^{5}\\left(685404\\theta^4+2714928\\theta^3+4854121\\theta^2+4193537\\theta+1415126\\right)+2^{13} x^{6}\\left(1419108\\theta^4+6542898\\theta^3+12841310\\theta^2+11823966\\theta+4167463\\right)-2^{14} x^{7}\\left(8117226\\theta^4+43045764\\theta^3+92299521\\theta^2+90336771\\theta+33184985\\right)+2^{16} x^{8}\\left(15319683\\theta^4+93106380\\theta^3+218052374\\theta^2+226725820\\theta+86734943\\right)-2^{19} 5^{2} x^{9}(2\\theta+3)(171838\\theta^3+939735\\theta^2+1668155\\theta+905358)+2^{22} 3 5^{4} 17^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 -628/9", "discriminant": "10 1 -192 16704 -865920 29657088 -701853696 11625332736 -132992630784 1003990745088 -4504630067200 9091153920000", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d5910f048831bb407eb8998c7c57e09f", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z-1)(18496z^3-2352z^2+84z-1)(16z-1)^2(400z^2-32z+1)^2", "discr_factors": "9091153920000, (z^2-2/25*z+1/400)^2, (z-1/16)^2, z^3-147/1156*z^2+21/4624*z-1/18496, z-1/12", "dm_basis": null, "q": "0 1 -20 342 -5200 78917 -1171416 17002890 -245182528 3470494482", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"-1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"-0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"-3/100","approx_re":"0.04","approx_im":"-0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"3/100","approx_re":"0.04","approx_im":"0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"21/1156*2^(1/3)+9/1156*2^(2/3)+49/1156","im":"0","approx_re":"0.077634","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -147*X^2-10-60*X-174*X^3-111*X^4, 18380*X^2+5076*X^4+10888*X+14304*X^3+2556, -112944*X^4-369024*X^3-119984-401628*X-542564*X^2, 7969200*X^2+1990416+6155424*X+5629440*X^3+1676736*X^4, -89513152*X^2-17032896*X^4-67618112*X-60012672*X^3-20803904, 193077248+611573760*X+755942656*X^2+450177024*X^3+122568960*X^4, -4550648064*X^2-1333660160-3960000768*X-2501283840*X^3-607021056*X^4, 6398194688+18093783040*X+19412612096*X^2+9592946688*X^3+1898090496*X^4, -45056*(2*X+3)*(36502*X^3+178659*X^2+286703*X+145866), 594739200*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.8\" from ...", "degz": 10, "h3": null, "sol": "1 10 154 2548 27370 -629180 -62562140 -3052891160 -114482112470 -3396152419100", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -10 -60 -147 -174 -111 2556 10888 18380 14304 5076 -119984 -401628 -542564 -369024 -112944 1990416 6155424 7969200 5629440 1676736 -20803904 -67618112 -89513152 -60012672 -17032896 193077248 611573760 755942656 450177024 122568960 -1333660160 -3960000768 -4550648064 -2501283840 -607021056 6398194688 18093783040 19412612096 9592946688 1898090496 -19716415488 -51897348096 -49984360448 -21033222144 -3289268224 26763264000 64231833600 54121267200 19031654400 2378956800", "new_number": "10.8", "id": 324, "operator_tex": "\\theta^4-x\\left(147\\theta^2+10+60\\theta+174\\theta^3+111\\theta^4\\right)+2^{2} x^{2}\\left(1269\\theta^4+3576\\theta^3+4595\\theta^2+2722\\theta+639\\right)-2^{2} x^{3}\\left(28236\\theta^4+92256\\theta^3+135641\\theta^2+100407\\theta+29996\\right)+2^{4} 3 x^{4}\\left(34932\\theta^4+117280\\theta^3+166025\\theta^2+128238\\theta+41467\\right)-2^{6} x^{5}\\left(266139\\theta^4+937698\\theta^3+1398643\\theta^2+1056533\\theta+325061\\right)+2^{8} x^{6}\\left(478785\\theta^4+1758504\\theta^3+2952901\\theta^2+2388960\\theta+754208\\right)-2^{8} x^{7}\\left(2371176\\theta^4+9770640\\theta^3+17775969\\theta^2+15468753\\theta+5209610\\right)+2^{10} x^{8}\\left(1853604\\theta^4+9368112\\theta^3+18957629\\theta^2+17669710\\theta+6248237\\right)-2^{12} 11 x^{9}(2\\theta+3)(36502\\theta^3+178659\\theta^2+286703\\theta+145866)+2^{16} 3 5^{2} 11^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "7 -2044/9", "discriminant": "10 1 -111 5076 -112944 1676736 -17032896 122568960 -607021056 1898090496 -3289268224 2378956800", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "772d055ae4c1a5d6a65a2b1f3ffa351b", "dim_h": null, "inst": " 7 -31/4 -2044/9 -1380 -8520 1625077/9 5885526 71672646 -85064144/3 -25138098376", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(3z-1)(6400z^3-2352z^2+84z-1)(4z-1)^2(88z^2-8z+1)^2", "discr_factors": "2378956800, z-1/3, (z-1/4)^2, (z^2-1/11*z+1/88)^2, z^3-147/400*z^2+21/1600*z-1/6400", "dm_basis": null, "q": "0 1 -20 336 -3940 48068 -537504 4863106 -72753176 674265258", "yuk": "1 7 -55 -6125 -88375 -1064993 38995661 2018735425 36696306377 -20670593117", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/800*3^(2/3)-27/800*3^(1/3)+49/400","im":"-1/8*3^(1/2)*(21/100*3^(2/3)-27/100*3^(1/3))","approx_re":"0.019222","approx_im":"-0.010265","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/800*3^(2/3)-27/800*3^(1/3)+49/400","im":"1/8*3^(1/2)*(21/100*3^(2/3)-27/100*3^(1/3))","approx_re":"0.019222","approx_im":"0.010265","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/22","im":"-3/44*2^(1/2)","approx_re":"0.0454545454545","approx_im":"-0.096424","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/22","im":"3/44*2^(1/2)","approx_re":"0.0454545454545","approx_im":"0.096424","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"21/400*3^(2/3)+27/400*3^(1/3)+49/400","im":"0","approx_re":"0.329056","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3","im":"0","approx_re":"0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[961*X^4, -31*X*(37*X^3+3404*X^2+2167*X+465), -3584242*X^4-13193680*X^3-15543050*X^2-9592175*X-2490912, -171965853*X^4-658845774*X^3-1010573937*X^2-775112499*X-238012668, -4118189226*X^4-18143684202*X^3-33049015179*X^2-28951475175*X-9850005972, -61079790533*X^4-312026249948*X^3-649293087145*X^2-630130831252*X-231606447564, -603614986326*X^4-3545520750756*X^3-8253511502490*X^2-8726247282348*X-3414828091068, -4070213602371*X^4-27169320367350*X^3-69798257834697*X^2-79493763058290*X-32795736438024, -3969*(X+1)*(4683541363*X^3+30431977551*X^2+68128269606*X+51768680224), -37044*(X+1)*(X+2)*(1489780280*X^2+7942046183*X+10944040794), -41229972*(X+3)*(X+2)*(X+1)*(2336627*X+7400894), -75176312119776*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"11.10\" from ...", "degz": 11, "h3": null, "sol": "1 0 162 5472 282366 15417120 905727060 55802567520 3565369239390 234318716236080", "n_discr_factors": "5", "c3": null, "operator": "4 11 0 0 0 0 961 0 -14415 -67177 -105524 -1147 -2490912 -9592175 -15543050 -13193680 -3584242 -238012668 -775112499 -1010573937 -658845774 -171965853 -9850005972 -28951475175 -33049015179 -18143684202 -4118189226 -231606447564 -630130831252 -649293087145 -312026249948 -61079790533 -3414828091068 -8726247282348 -8253511502490 -3545520750756 -603614986326 -32795736438024 -79493763058290 -69798257834697 -27169320367350 -4070213602371 -205469891809056 -475870993875270 -391185620966133 -139373494569666 -18588975669747 -810822094345872 -1804643459124912 -1398401364966732 -459767420880012 -55187420692320 -1830831914369808 -3934559571051312 -2890561637998692 -883173047101632 -96339065784444 -1804231490874624 -3758815605988800 -2631170924192160 -751763121197760 -75176312119776", "new_number": "11.10", "id": 326, "operator_tex": "31^{2} \\theta^4-31 x\\theta(37\\theta^3+3404\\theta^2+2167\\theta+465)-x^{2}\\left(3584242\\theta^4+13193680\\theta^3+15543050\\theta^2+9592175\\theta+2490912\\right)-3^{2} x^{3}\\left(19107317\\theta^4+73205086\\theta^3+112285993\\theta^2+86123611\\theta+26445852\\right)-3 x^{4}\\left(1372729742\\theta^4+6047894734\\theta^3+11016338393\\theta^2+9650491725\\theta+3283335324\\right)-x^{5}\\left(61079790533\\theta^4+312026249948\\theta^3+649293087145\\theta^2+630130831252\\theta+231606447564\\right)-2 3^{2} x^{6}\\left(33534165907\\theta^4+196973375042\\theta^3+458528416805\\theta^2+484791515686\\theta+189712671726\\right)-3^{2} 7 x^{7}\\left(64606565117\\theta^4+431259053450\\theta^3+1107908854519\\theta^2+1261805762830\\theta+520567245048\\right)-3^{4} 7^{2} x^{8}(\\theta+1)(4683541363\\theta^3+30431977551\\theta^2+68128269606\\theta+51768680224)-2^{2} 3^{3} 7^{3} x^{9}(\\theta+1)(\\theta+2)(1489780280\\theta^2+7942046183\\theta+10944040794)-2^{2} 3^{4} 7^{4} 53 x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(2336627\\theta+7400894)-2^{5} 3^{3} 7^{5} 19 53^{2} 97 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "307/31 30366/31", "discriminant": "11 961 -1147 -3584242 -171965853 -4118189226 -61079790533 -603614986326 -4070213602371 -18588975669747 -55187420692320 -96339065784444 -75176312119776", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4af67003a52ef978f182204bfaff3b67", "dim_h": null, "inst": " 307/31 1814/31 30366/31 639686/31 17126962/31 518898888/31 17280572447/31 615641846034/31 23107306033773/31 903699989937266/31", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "9", "laurent": null, "discriminant_tex": "-(8z+1)(679z^2+74z-1)(57z^2+15z+1)(7z+1)^2(2226z^2+555z+31)^2", "discr_factors": "-75176312119776, (z+1/7)^2, z^2+5/19*z+1/57, (z^2+185/742*z+31/2226)^2, z+1/8, z^2+74/679*z-1/679", "dm_basis": null, "q": "0 1 -15 -146 715 -17966 -1301830 -42473611 -1602457803 -67303193594", "yuk": "1 307/31 14819/31 820189/31 40954723/31 2140870557/31 112082994509/31 5927236349628/31 315208666124131/31 16845226099440706/31", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-185/1484-1/4452*32001^(1/2)","im":"0","approx_re":"-0.164845","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/7","im":"0","approx_re":"-0.142857142857","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-5/38","im":"-1/114*3^(1/2)","approx_re":"-0.131578947368","approx_im":"-0.015193","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-5/38","im":"1/114*3^(1/2)","approx_re":"-0.131578947368","approx_im":"0.015193","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-37/679-32/679*2^(1/2)","im":"0","approx_re":"-0.121141","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-185/1484+1/4452*32001^(1/2)","im":"0","approx_re":"-0.084482","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-37/679+32/679*2^(1/2)","im":"0","approx_re":"0.012157","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[961*X^4, -31*X*(790*X^3+2930*X^2+1868*X+403), -2814085*X^4-9964954*X^3-13382605*X^2-8541027*X-2183392, -77649704*X^4-350426364*X^3-626329390*X^2-517109481*X-165295596, -1130950485*X^4-6282081612*X^3-13577302372*X^2-13176194701*X-4791500140, -10174204338*X^4-66980706054*X^3-167325460826*X^2-182996671594*X-72827286420, -59691820411*X^4-451633384578*X^3-1266886011283*X^2-1521913712448*X-648339514868, -230730761372*X^4-1954510456048*X^3-6018773050236*X^2-7791703816840*X-3498781134176, -4*(X+1)*(143617960931*X^3+1184948771451*X^2+3211500965214*X+2815433689448), -32*(X+1)*(X+2)*(27089561480*X^2+184897066731*X+314481835312), -71232*(X+3)*(X+2)*(X+1)*(9822371*X+40000042), -227695652352*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"11.11\" from ...", "degz": 11, "h3": null, "sol": "1 0 142 4632 227538 11877000 666512260 39229506960 2394385433650 150321478347600", "n_discr_factors": "5", "c3": null, "operator": "4 11 0 0 0 0 961 0 -12493 -57908 -90830 -24490 -2183392 -8541027 -13382605 -9964954 -2814085 -165295596 -517109481 -626329390 -350426364 -77649704 -4791500140 -13176194701 -13577302372 -6282081612 -1130950485 -72827286420 -182996671594 -167325460826 -66980706054 -10174204338 -648339514868 -1521913712448 -1266886011283 -451633384578 -59691820411 -3498781134176 -7791703816840 -6018773050236 -1954510456048 -230730761372 -11261734757792 -24107738618648 -17585798946660 -5314266929528 -574471843724 -20126837459968 -42023668460736 -29547269070880 -8517304037472 -866865967360 -17095697950464 -35540115695616 -24792036392256 -7047285778176 -699667131072 -5464695656448 -11384782617600 -7969347832320 -2276956523520 -227695652352", "new_number": "11.11", "id": 327, "operator_tex": "31^{2} \\theta^4-31 x\\theta(790\\theta^3+2930\\theta^2+1868\\theta+403)-x^{2}\\left(2814085\\theta^4+9964954\\theta^3+13382605\\theta^2+8541027\\theta+2183392\\right)-x^{3}\\left(77649704\\theta^4+350426364\\theta^3+626329390\\theta^2+517109481\\theta+165295596\\right)-x^{4}\\left(1130950485\\theta^4+6282081612\\theta^3+13577302372\\theta^2+13176194701\\theta+4791500140\\right)-2 x^{5}\\left(5087102169\\theta^4+33490353027\\theta^3+83662730413\\theta^2+91498335797\\theta+36413643210\\right)-x^{6}\\left(59691820411\\theta^4+451633384578\\theta^3+1266886011283\\theta^2+1521913712448\\theta+648339514868\\right)-2^{2} x^{7}\\left(57682690343\\theta^4+488627614012\\theta^3+1504693262559\\theta^2+1947925954210\\theta+874695283544\\right)-2^{2} x^{8}(\\theta+1)(143617960931\\theta^3+1184948771451\\theta^2+3211500965214\\theta+2815433689448)-2^{5} x^{9}(\\theta+1)(\\theta+2)(27089561480\\theta^2+184897066731\\theta+314481835312)-2^{6} 3 7 53 x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(9822371\\theta+40000042)-2^{9} 3^{2} 7^{2} 53^{2} 359 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "256/31 28062/31", "discriminant": "11 961 -24490 -2814085 -77649704 -1130950485 -10174204338 -59691820411 -230730761372 -574471843724 -866865967360 -699667131072 -227695652352", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "dbd551a4eb6b44b1575c949fe3158ad8", "dim_h": null, "inst": " 256/31 1982/31 28062/31 591475/31 15400630/31 457045532/31 14876658050/31 518347106445/31 19026808879462/31 727762687352558/31", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(8z+1)(359z^2+74z-1)(7z+1)^2(6z+1)^2(212z^2+225z+31)^2", "discr_factors": "-227695652352, (z+1/6)^2, (z^2+225/212*z+31/212)^2, (z+1/7)^2, z+1/8, z^2+74/359*z-1/359", "dm_basis": null, "q": "0 1 -13 -175 209 -10537 -1140801 -40688550 -1469169385 -59454919919", "yuk": "1 256/31 16112/31 757930/31 37870512/31 1925079006/31 98722608698/31 5102693711406/31 265393756370352/31 13870543673885728/31", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-225/424-1/424*24337^(1/2)","im":"0","approx_re":"-0.898592","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-37/359-24/359*3^(1/2)","im":"0","approx_re":"-0.218856","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-225/424+1/424*24337^(1/2)","im":"0","approx_re":"-0.162728","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/7","im":"0","approx_re":"-0.142857142857","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-37/359+24/359*3^(1/2)","im":"0","approx_re":"0.012728","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -3940*X^4-8360*X^3-6380*X^2-2200*X-300, 2896*X^4+81088*X^3+164656*X^2+108000*X+25360, -110528*X^4+304512*X^3+727360*X^2+291840*X+22080, 1203712*X^4+2330624*X^3-5696000*X^2-6426624*X-1962496, -2158592*X^4-5931008*X^3-65536*X^2+7417856*X+3633152, 16154624*X^4-50036736*X^3-25853952*X^2-11894784*X-3801088, -102236160*X^4+36962304*X^3-113377280*X^2-191234048*X-73793536, 158334976*X^4-109051904*X^3-305135616*X^2-250609664*X-68157440, -96468992*X^4-100663296*X^3-356515840*X^2-553648128*X-230686720, 33554432*(X+1)*(7*X^3+31*X^2+35*X+12), -268435456*(X+1)^4]", "text": "This is operator \"11.4\" from ...", "degz": 11, "h3": null, "sol": "1 12 572 42960 3944556 405927312 44976624944 5248589511744 636470775893740 79500376972668432", "n_discr_factors": "3", "c3": null, "operator": "4 11 0 0 0 0 25 -300 -2200 -6380 -8360 -3940 25360 108000 164656 81088 2896 22080 291840 727360 304512 -110528 -1962496 -6426624 -5696000 2330624 1203712 3633152 7417856 -65536 -5931008 -2158592 -3801088 -11894784 -25853952 -50036736 16154624 -73793536 -191234048 -113377280 36962304 -102236160 -68157440 -250609664 -305135616 -109051904 158334976 -230686720 -553648128 -356515840 -100663296 -96468992 402653184 1577058304 2214592512 1275068416 234881024 -268435456 -1073741824 -1610612736 -1073741824 -268435456", "new_number": "11.4", "id": 341, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(197\\theta^4+418\\theta^3+319\\theta^2+110\\theta+15\\right)+2^{4} x^{2}\\left(181\\theta^4+5068\\theta^3+10291\\theta^2+6750\\theta+1585\\right)-2^{6} x^{3}\\left(1727\\theta^4-4758\\theta^3-11365\\theta^2-4560\\theta-345\\right)+2^{9} x^{4}\\left(2351\\theta^4+4552\\theta^3-11125\\theta^2-12552\\theta-3833\\right)-2^{12} x^{5}\\left(527\\theta^4+1448\\theta^3+16\\theta^2-1811\\theta-887\\right)+2^{15} x^{6}\\left(493\\theta^4-1527\\theta^3-789\\theta^2-363\\theta-116\\right)-2^{17} x^{7}\\left(780\\theta^4-282\\theta^3+865\\theta^2+1459\\theta+563\\right)+2^{20} x^{8}\\left(151\\theta^4-104\\theta^3-291\\theta^2-239\\theta-65\\right)-2^{22} x^{9}\\left(23\\theta^4+24\\theta^3+85\\theta^2+132\\theta+55\\right)+2^{25} x^{10}(\\theta+1)(7\\theta^3+31\\theta^2+35\\theta+12)-2^{28} x^{11}\\left((\\theta+1)^4\\right)", "superseek": "116/5 29628/5", "discriminant": "11 25 -3940 2896 -110528 1203712 -2158592 16154624 -102236160 158334976 -96468992 234881024 -268435456", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "4222cdacde3dbaf06ed32adadb70f0d6", "dim_h": null, "inst": " 116/5 1059/5 29628/5 2227181/10 51562768/5 2740127457/5 159563395868/5 19902142099427/10 130761042201704 44764725674950396/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+156z+160z^2+256z^3)(4z-1)^2(256z^3-128z^2-16z-5)^2", "discr_factors": "-268435456, (z^3-1/2*z^2-1/16*z-5/256)^2, -1/256+39/64*z+5/8*z^2+z^3, (z-1/4)^2", "dm_basis": null, "q": "0 1 -40 502 -12096 -142623 -15843632 -963478046 -67896513280 -4927396898828", "yuk": "1 116/5 8588/5 800072/5 14255676 6445346116/5 591868339256/5 10946048956568 5094948448731692/5 476623998826011152/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(6236+708*177^(1/2))^(1/3)+23/6/(6236+708*177^(1/2))^(1/3)-5/24","im":"-1/8*3^(1/2)*(1/12*(6236+708*177^(1/2))^(1/3)+92/3/(6236+708*177^(1/2))^(1/3))","approx_re":"-0.315684","approx_im":"-0.716756","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/96*(6236+708*177^(1/2))^(1/3)+23/6/(6236+708*177^(1/2))^(1/3)-5/24","im":"1/8*3^(1/2)*(1/12*(6236+708*177^(1/2))^(1/3)+92/3/(6236+708*177^(1/2))^(1/3))","approx_re":"-0.315684","approx_im":"0.716756","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(271+3*5721^(1/2))^(1/3)-7/12/(271+3*5721^(1/2))^(1/3)+1/6","im":"-1/8*3^(1/2)*(1/6*(271+3*5721^(1/2))^(1/3)-14/3/(271+3*5721^(1/2))^(1/3))","approx_re":"-0.072055","approx_im":"-0.158527","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(271+3*5721^(1/2))^(1/3)-7/12/(271+3*5721^(1/2))^(1/3)+1/6","im":"1/8*3^(1/2)*(1/6*(271+3*5721^(1/2))^(1/3)-14/3/(271+3*5721^(1/2))^(1/3))","approx_re":"-0.072055","approx_im":"0.158527","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48*(6236+708*177^(1/2))^(1/3)-23/3/(6236+708*177^(1/2))^(1/3)-5/24","im":"0","approx_re":"0.006368","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(271+3*5721^(1/2))^(1/3)+7/6/(271+3*5721^(1/2))^(1/3)+1/6","im":"0","approx_re":"0.64411","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16*X*(7*X^3-10*X^2-6*X-1), 5888*X^4+17408*X^3+38656*X^2+14848*X+1792, -1236992*X^4-5799936*X^3-7593984*X^2-4694016*X-1130496, 102236160*X^4+445906944*X^3+837681152*X^2+555352064*X+135135232, -2067791872*X^4-14675869696*X^3-28311552000*X^2-22389194752*X-6199181312, 35366371328*X^4+44291850240*X^3-78248935424*X^2-26373783552*X+1275068416, -2524367028224*X^4-5209795330048*X^3+11462193971200*X^2+14978698444800*X+4946728583168, 29669634080768*X^4+200420353900544*X^3+227994043940864*X^2+51745765982208*X-11424613007360, -99505802313728*X^4+2388139255529472*X^3+2103915499749376*X^2+356241767399424*X-131391639519232, 17328303253749760*X^4+32545544182169600*X^3+21726349764853760*X^2+5453577673768960*X+263882790666240, -14073748835532800*(X+1)^4]", "text": "This is operator \"11.5\" from ...", "degz": 11, "h3": null, "sol": "1 0 -112 13824 -136944 -42624000 3262265600 33086054400 -21000227586800 1156137025075200", "n_discr_factors": "3", "c3": null, "operator": "4 11 0 0 0 0 1 0 16 96 160 -112 1792 14848 38656 17408 5888 -1130496 -4694016 -7593984 -5799936 -1236992 135135232 555352064 837681152 445906944 102236160 -6199181312 -22389194752 -28311552000 -14675869696 -2067791872 1275068416 -26373783552 -78248935424 44291850240 35366371328 4946728583168 14978698444800 11462193971200 -5209795330048 -2524367028224 -11424613007360 51745765982208 227994043940864 200420353900544 29669634080768 -131391639519232 356241767399424 2103915499749376 2388139255529472 -99505802313728 263882790666240 5453577673768960 21726349764853760 32545544182169600 17328303253749760 -14073748835532800 -56294995342131200 -84442493013196800 -56294995342131200 -14073748835532800", "new_number": "11.5", "id": 342, "operator_tex": "\\theta^4-2^{4} x\\theta(7\\theta^3-10\\theta^2-6\\theta-1)+2^{8} x^{2}\\left(23\\theta^4+68\\theta^3+151\\theta^2+58\\theta+7\\right)-2^{13} x^{3}\\left(151\\theta^4+708\\theta^3+927\\theta^2+573\\theta+138\\right)+2^{17} x^{4}\\left(780\\theta^4+3402\\theta^3+6391\\theta^2+4237\\theta+1031\\right)-2^{22} x^{5}\\left(493\\theta^4+3499\\theta^3+6750\\theta^2+5338\\theta+1478\\right)+2^{26} x^{6}\\left(527\\theta^4+660\\theta^3-1166\\theta^2-393\\theta+19\\right)-2^{30} x^{7}\\left(2351\\theta^4+4852\\theta^3-10675\\theta^2-13950\\theta-4607\\right)+2^{34} x^{8}\\left(1727\\theta^4+11666\\theta^3+13271\\theta^2+3012\\theta-665\\right)-2^{39} x^{9}\\left(181\\theta^4-4344\\theta^3-3827\\theta^2-648\\theta+239\\right)+2^{44} 5 x^{10}\\left(197\\theta^4+370\\theta^3+247\\theta^2+62\\theta+3\\right)-2^{49} 5^{2} x^{11}\\left((\\theta+1)^4\\right)", "superseek": "-32 608", "discriminant": "11 1 -112 5888 -1236992 102236160 -2067791872 35366371328 -2524367028224 29669634080768 -99505802313728 17328303253749760 -14073748835532800", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "f5f2274632f5544ebf559c6c512159d1", "dim_h": null, "inst": " -32 -616 608 -21270 -15181664 -157477192 14725008608 -891823196878 -50522477326080 2876556822580744", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1-80z-9984z^2+8192z^3)(32z-1)^2(40960z^3+1024z^2+64z-1)^2", "discr_factors": "-14073748835532800, (z-1/32)^2, -1/8192-5/512*z-39/32*z^2+z^3, (z^3+1/40*z^2+1/640*z-1/40960)^2", "dm_basis": null, "q": "0 1 16 928 -5120 -413392 15455744 235988480 -68586143744 1647378282136", "yuk": "1 -32 -4960 16384 -1366240 -1897708032 -34015062016 5050677952512 -456613478167776 -36830885970695936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/960*(2006+30*5721^(1/2))^(1/3)+13/120/(2006+30*5721^(1/2))^(1/3)-1/120","im":"-1/32*3^(1/2)*(1/30*(2006+30*5721^(1/2))^(1/3)+52/15/(2006+30*5721^(1/2))^(1/3))","approx_re":"-0.018565","approx_im":"-0.040844","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/960*(2006+30*5721^(1/2))^(1/3)+13/120/(2006+30*5721^(1/2))^(1/3)-1/120","im":"1/32*3^(1/2)*(1/30*(2006+30*5721^(1/2))^(1/3)+52/15/(2006+30*5721^(1/2))^(1/3))","approx_re":"-0.018565","approx_im":"0.040844","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(61128+177*177^(1/2))^(1/3)-517/64/(61128+177*177^(1/2))^(1/3)+13/32","im":"-1/32*3^(1/2)*(1/6*(61128+177*177^(1/2))^(1/3)-517/2/(61128+177*177^(1/2))^(1/3))","approx_re":"-0.004021","approx_im":"-0.009129","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(61128+177*177^(1/2))^(1/3)-517/64/(61128+177*177^(1/2))^(1/3)+13/32","im":"1/32*3^(1/2)*(1/6*(61128+177*177^(1/2))^(1/3)-517/2/(61128+177*177^(1/2))^(1/3))","approx_re":"-0.004021","approx_im":"0.009129","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/480*(2006+30*5721^(1/2))^(1/3)-13/60/(2006+30*5721^(1/2))^(1/3)-1/120","im":"0","approx_re":"0.012129","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96*(61128+177*177^(1/2))^(1/3)+517/32/(61128+177*177^(1/2))^(1/3)+13/32","im":"0","approx_re":"1.226791","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 180*X^4+36*X^3+57*X^2+39*X+9, 12501*X^4+8208*X^3+10935*X^2+4968*X+729, 415530*X^4+551124*X^3+595350*X^2+262440*X+37179, 6276690*X^4+11687328*X^3+8844228*X^2-411156*X-2145447, 11022480*X^4-89597016*X^3-406453950*X^2-573365790*X-263535687, -905929758*X^4-6632383680*X^3-17909207406*X^2-21204495900*X-9073292193, -10554418260*X^4-77662661976*X^3-208645862364*X^2-242611319556*X-102006379863, -43046721*(X+1)*(83*X^3-2739*X^2-16257*X-20563), 129140163*(X+1)*(X+2)*(4676*X^2+42864*X+94887), 3486784401*(X+3)*(X+2)*(X+1)*(505*X+2522), 1318004503578*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"11.7\" from ...", "degz": 11, "h3": null, "sol": "1 -9 135 -2115 38799 -761319 15844221 -341131905 7549447455 -170709034311", "n_discr_factors": "5", "c3": null, "operator": "4 11 0 0 0 0 1 9 39 57 36 180 729 4968 10935 8208 12501 37179 262440 595350 551124 415530 -2145447 -411156 8844228 11687328 6276690 -263535687 -573365790 -406453950 -89597016 11022480 -9073292193 -21204495900 -17909207406 -6632383680 -905929758 -102006379863 -242611319556 -208645862364 -77662661976 -10554418260 885169723923 1584980267220 817715512116 114332090976 -3572877843 24507445293162 47832095833407 30067833291453 7347042153396 603859402188 52762021555932 107295329587572 72131108903487 19358626994352 1760826122505 31632108085872 65900225178900 46130157625230 13180045035780 1318004503578", "new_number": "11.7", "id": 344, "operator_tex": "\\theta^4+3 x\\left(60\\theta^4+12\\theta^3+19\\theta^2+13\\theta+3\\right)+3^{3} x^{2}\\left(463\\theta^4+304\\theta^3+405\\theta^2+184\\theta+27\\right)+3^{5} x^{3}\\left(1710\\theta^4+2268\\theta^3+2450\\theta^2+1080\\theta+153\\right)+3^{7} x^{4}\\left(2870\\theta^4+5344\\theta^3+4044\\theta^2-188\\theta-981\\right)+3^{9} x^{5}\\left(560\\theta^4-4552\\theta^3-20650\\theta^2-29130\\theta-13389\\right)-3^{11} x^{6}\\left(5114\\theta^4+37440\\theta^3+101098\\theta^2+119700\\theta+51219\\right)-3^{13} x^{7}\\left(6620\\theta^4+48712\\theta^3+130868\\theta^2+152172\\theta+63981\\right)-3^{16} x^{8}(\\theta+1)(83\\theta^3-2739\\theta^2-16257\\theta-20563)+3^{17} x^{9}(\\theta+1)(\\theta+2)(4676\\theta^2+42864\\theta+94887)+3^{20} x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(505\\theta+2522)+2 3^{23} 7 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "9 2564/3", "discriminant": "11 1 180 12501 415530 6276690 11022480 -905929758 -10554418260 -3572877843 603859402188 1760826122505 1318004503578", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "3933e1482d30ea8bca1e5e5f914286e2", "dim_h": null, "inst": " 9 -72 2564/3 -12924 228024 -13237444/3 91058778 -1971474678 132890850544/3 -1025101573128", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(18z+1)(189z^2+18z+1)(27z+1)^2(9z-1)^2(81z^2+54z+1)^2", "discr_factors": "1318004503578, z^2+2/21*z+1/189, (z+1/27)^2, (z^2+2/3*z+1/81)^2, z+1/18, (z-1/9)^2", "dm_basis": null, "q": "0 1 3 9 -545 4749 -153225 3828119 -91403373 2325647133", "yuk": "1 9 -567 23085 -827703 28503009 -953073459 31233160863 -1009395862839 32292476705277", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3-2/9*2^(1/2)","im":"0","approx_re":"-0.647603","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18","im":"0","approx_re":"-0.0555555555556","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/21","im":"-2/63*3^(1/2)","approx_re":"-0.047619047619","approx_im":"-0.054986","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/21","im":"2/63*3^(1/2)","approx_re":"-0.047619047619","approx_im":"0.054986","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3+2/9*2^(1/2)","im":"0","approx_re":"-0.019064","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 144+2560*X^4+512*X^3+896*X^2+640*X, 3620864*X^2+466944+1966080*X+2490368*X^3+2686976*X^4, 943718400+2919235584*X^3+3095396352*X+3938451456*X^2+1744830464*X^4, 2573759152128*X^2+2280627634176*X+901943132160*X^4+1494648619008*X^3+772288806912, 831230790598656*X+831230790598656*X^2+301815941824512+376032976699392*X^4+633318697598976*X^3, 227994731135631360*X^3+130041439240323072*X^4+141863388262170624*X+255438541364920320*X^2+28816000740753408, 29939930322759057408*X+37614064087798382592*X^4-5890708312600608768+68742944712183250944*X^3+96250931236162240512*X^2, 1463057389346088812544+15356914441363201720320*X+30312612199123220692992*X^2+9020457852043970740224*X^4+17155471988549883002880*X^3, 1794499263490465181204480*X^4+6782498861021527938170880*X^2+5100155801499216830791680*X+1474263786370867365150720+3825116851124412623093760*X^3, 278052938511364710182420480*X^4+773712524553362671811952640*X^3+327543339251838592021954560+1181724988673300018275287040*X^2+958073712044593620954644480*X, 44972040489664205299069747200+199230975072490887991577804800*X^2+150873942287905721003330764800*X+30948500982134506872478105600*X^4+123794003928538027489912422400*X^3, 123794003928538027489912422400*(2*X+3)^4]", "text": "This is operator \"12.10\" from ...", "degz": 12, "h3": null, "sol": "1 -144 13584 -80128 -173794032 -8552745216 17858836422912 -5271446452801536 718660048363003152 7258621476588816128", "n_discr_factors": "3", "c3": null, "operator": "4 12 0 0 0 0 1 144 640 896 512 2560 466944 1966080 3620864 2490368 2686976 943718400 3095396352 3938451456 2919235584 1744830464 772288806912 2280627634176 2573759152128 1494648619008 901943132160 301815941824512 831230790598656 831230790598656 633318697598976 376032976699392 28816000740753408 141863388262170624 255438541364920320 227994731135631360 130041439240323072 -5890708312600608768 29939930322759057408 96250931236162240512 68742944712183250944 37614064087798382592 1463057389346088812544 15356914441363201720320 30312612199123220692992 17155471988549883002880 9020457852043970740224 1474263786370867365150720 5100155801499216830791680 6782498861021527938170880 3825116851124412623093760 1794499263490465181204480 327543339251838592021954560 958073712044593620954644480 1181724988673300018275287040 773712524553362671811952640 278052938511364710182420480 44972040489664205299069747200 150873942287905721003330764800 199230975072490887991577804800 123794003928538027489912422400 30948500982134506872478105600 10027314318211580226682906214400 26739504848564213937821083238400 26739504848564213937821083238400 11884224377139650639031592550400 1980704062856608439838598758400", "new_number": "12.10", "id": 347, "operator_tex": "\\theta^4+2^{4} x\\left(160\\theta^4+32\\theta^3+56\\theta^2+40\\theta+9\\right)+2^{13} x^{2}\\left(328\\theta^4+304\\theta^3+442\\theta^2+240\\theta+57\\right)+2^{22} x^{3}\\left(416\\theta^4+696\\theta^3+939\\theta^2+738\\theta+225\\right)+2^{28} 3 x^{4}\\left(1120\\theta^4+1856\\theta^3+3196\\theta^2+2832\\theta+959\\right)+2^{39} 3^{2} x^{5}\\left(76\\theta^4+128\\theta^3+168\\theta^2+168\\theta+61\\right)+2^{45} 3 x^{6}\\left(1232\\theta^4+2160\\theta^3+2420\\theta^2+1344\\theta+273\\right)+2^{54} 3 x^{7}\\left(696\\theta^4+1272\\theta^3+1781\\theta^2+554\\theta-109\\right)+2^{60} 3 x^{8}\\left(2608\\theta^4+4960\\theta^3+8764\\theta^2+4440\\theta+423\\right)+2^{68} 5 x^{9}\\left(1216\\theta^4+2592\\theta^3+4596\\theta^2+3456\\theta+999\\right)+2^{76} 5 x^{10}\\left(736\\theta^4+2048\\theta^3+3128\\theta^2+2536\\theta+867\\right)+2^{84} 5^{2} x^{11}\\left(64\\theta^4+256\\theta^3+412\\theta^2+312\\theta+93\\right)+2^{92} 5^{2} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "224 4999008", "discriminant": "12 1 2560 2686976 1744830464 901943132160 376032976699392 130041439240323072 37614064087798382592 9020457852043970740224 1794499263490465181204480 278052938511364710182420480 30948500982134506872478105600 1980704062856608439838598758400", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d0e84951fc25cf38a32ec7fba5893d59", "dim_h": null, "inst": " 224 -22712 4999008 -855952448 199163179936 -53623886987352 14508663979369952 -4181788885349205056 1262106790700693848320 -389795261431691959411304", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "(256z+1)^2(65536z^2+256z+1)^2(83886080z^3+768z+1)^2", "discr_factors": "1980704062856608439838598758400, (z^3+3/327680*z+1/83886080)^2, (z+1/256)^2, (z^2+1/256*z+1/65536)^2", "dm_basis": null, "q": "0 1 64 18528 -1222656 472391216 -170868209664 48439974781440 -15813492093616128 5405295327710173848", "yuk": "1 224 -181472 134973440 -54781138144 24895397492224 -11582759454476288 4976471744923893760 -2141075909353574126816 920075850420805950398720", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"-1/512*3^(1/2)","approx_re":"-0.001953125","approx_im":"-0.003383","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"1/512*3^(1/2)","approx_re":"-0.001953125","approx_im":"0.003383","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2560*(100+60*5^(1/2))^(1/3)+1/128/(100+60*5^(1/2))^(1/3)","im":"0","approx_re":"-0.00114","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5120*(100+60*5^(1/2))^(1/3)-1/256/(100+60*5^(1/2))^(1/3)","im":"1/512*3^(1/2)*(-1/10*(100+60*5^(1/2))^(1/3)-2/(100+60*5^(1/2))^(1/3))","approx_re":"0.00057","approx_im":"-0.003183","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5120*(100+60*5^(1/2))^(1/3)-1/256/(100+60*5^(1/2))^(1/3)","im":"-1/512*3^(1/2)*(-1/10*(100+60*5^(1/2))^(1/3)-2/(100+60*5^(1/2))^(1/3))","approx_re":"0.00057","approx_im":"0.003183","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -1600*X^4-3200*X^3-3100*X^2-1500*X-300, 58880*X^4+189440*X^3+307840*X^2+236800*X+73200, -1556480*X^4-6021120*X^3-11965440*X^2-11842560*X-4561920, 32047104*X^4+131334144*X^3+266059776*X^2+289751040*X+122204160, -547356672*X^4-2283798528*X^3-4288413696*X^2-4403232768*X-1807024128, 7751073792*X^4+32916897792*X^3+58711867392*X^2+50130321408*X+16666066944, -91804925952*X^4-396210733056*X^3-746519003136*X^2-601563856896*X-168812347392, 901943132160*X^4+3917010173952*X^3+8024072650752*X^2+7528003928064*X+2663953465344, -7146825580544*X^4-30923764531200*X^3-58806692216832*X^2-51488067944448*X-16969415786496, 45079976738816*X^4+228698418577408*X^3+481311215058944*X^2+475813656920064*X+182244052303872, -175921860444160*X^4-1020346790576128*X^3-2278188092751872*X^2-2278188092751872*X-854320534781952, 17592186044416*(2*X+3)^4]", "text": "This is operator \"12.4\" from ...", "degz": 12, "h3": null, "sol": "1 12 108 688 3564 61776 1778160 33990336 430282476 3627238288", "n_discr_factors": "3", "c3": null, "operator": "4 12 0 0 0 0 25 -300 -1500 -3100 -3200 -1600 73200 236800 307840 189440 58880 -4561920 -11842560 -11965440 -6021120 -1556480 122204160 289751040 266059776 131334144 32047104 -1807024128 -4403232768 -4288413696 -2283798528 -547356672 16666066944 50130321408 58711867392 32916897792 7751073792 -168812347392 -601563856896 -746519003136 -396210733056 -91804925952 2663953465344 7528003928064 8024072650752 3917010173952 901943132160 -16969415786496 -51488067944448 -58806692216832 -30923764531200 -7146825580544 182244052303872 475813656920064 481311215058944 228698418577408 45079976738816 -854320534781952 -2278188092751872 -2278188092751872 -1020346790576128 -175921860444160 1424967069597696 3799912185593856 3799912185593856 1688849860263936 281474976710656", "new_number": "12.4", "id": 348, "operator_tex": "5^{2} \\theta^4-2^{2} 5^{2} x\\left(16\\theta^4+32\\theta^3+31\\theta^2+15\\theta+3\\right)+2^{4} 5 x^{2}\\left(736\\theta^4+2368\\theta^3+3848\\theta^2+2960\\theta+915\\right)-2^{10} 5 x^{3}\\left(304\\theta^4+1176\\theta^3+2337\\theta^2+2313\\theta+891\\right)+2^{12} 3 x^{4}\\left(2608\\theta^4+10688\\theta^3+21652\\theta^2+23580\\theta+9945\\right)-2^{16} 3 x^{5}\\left(2784\\theta^4+11616\\theta^3+21812\\theta^2+22396\\theta+9191\\right)+2^{21} 3 x^{6}\\left(1232\\theta^4+5232\\theta^3+9332\\theta^2+7968\\theta+2649\\right)-2^{25} 3^{2} x^{7}\\left(304\\theta^4+1312\\theta^3+2472\\theta^2+1992\\theta+559\\right)+2^{30} 3 x^{8}\\left(280\\theta^4+1216\\theta^3+2491\\theta^2+2337\\theta+827\\right)-2^{32} x^{9}\\left(1664\\theta^4+7200\\theta^3+13692\\theta^2+11988\\theta+3951\\right)+2^{38} x^{10}\\left(164\\theta^4+832\\theta^3+1751\\theta^2+1731\\theta+663\\right)-2^{40} x^{11}\\left(160\\theta^4+928\\theta^3+2072\\theta^2+2072\\theta+777\\right)+2^{44} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "4 -228/5", "discriminant": "12 25 -1600 58880 -1556480 32047104 -547356672 7751073792 -91804925952 901943132160 -7146825580544 45079976738816 -175921860444160 281474976710656", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "c24070a1d4a449404cd7b46398fa6d6e", "dim_h": null, "inst": " 4 -29/5 -228/5 3724/5 -31856/5 144561/5 727676/5 -24745444/5 302409672/5 -397179636", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "(16z-1)^2(256z^2-16z+1)^2(4096z^3-768z^2-5)^2", "discr_factors": "281474976710656, (z-1/16)^2, (z^2-1/16*z+1/256)^2, (z^3-3/16*z^2-5/4096)^2", "dm_basis": null, "q": "0 1 -12 166 -2224 26881 -293128 2837554 -23554240 156388628", "yuk": "1 4 -212/5 -6136/5 238124/5 -796396 31218808/5 249592888/5 -12669429204/5 220456644752/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64*(28+12*5^(1/2))^(1/3)-1/16/(28+12*5^(1/2))^(1/3)+1/16","im":"-1/32*3^(1/2)*(1/2*(28+12*5^(1/2))^(1/3)-2/(28+12*5^(1/2))^(1/3))","approx_re":"-0.013312","approx_im":"-0.074322","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64*(28+12*5^(1/2))^(1/3)-1/16/(28+12*5^(1/2))^(1/3)+1/16","im":"1/32*3^(1/2)*(1/2*(28+12*5^(1/2))^(1/3)-2/(28+12*5^(1/2))^(1/3))","approx_re":"-0.013312","approx_im":"0.074322","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"-1/32*3^(1/2)","approx_re":"0.03125","approx_im":"-0.054127","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"1/32*3^(1/2)","approx_re":"0.03125","approx_im":"0.054127","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32*(28+12*5^(1/2))^(1/3)+1/8/(28+12*5^(1/2))^(1/3)+1/16","im":"0","approx_re":"0.214124","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -1480*(X+1)^4+3050*(X+1)^3-2555*(X+1)^2+860+1030*X, -2358*X-2402-4531*(X+1)^4-5994*(X+1)^3+7377*(X+1)^2, 30032*(X+1)^3+9672+9520*X-25720*(X+1)^2+2236*(X+1)^4, -6456*(X+1)^3+162036*(X+1)^2+1455*(X+1)^4-42899-56424*X, 356672-534147*(X+1)^2+80304*(X+1)^4+519246*X-241398*(X+1)^3, -476454*X-325736+141438*(X+1)^3+367365*(X+1)^2-18597*(X+1)^4, -249660*X-183364-756948*(X+1)^3+1448862*(X+1)^2-38172*(X+1)^4, 1725616-4137132*(X+1)^2+2289960*X-211116*(X+1)^4+1854432*(X+1)^3, -212104+734136*(X+1)^2-218600*(X+1)^4-331240*X+509360*(X+1)^3, 804508*(X+1)^2-524144*X-431664+547196*(X+1)^4-1564408*(X+1)^3, 9248*(X+1)*(45*X+54+72*(X+1)^2+19*(X+1)^3), -78608*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"12.15\" from ...", "degz": 12, "h3": null, "sol": "1 5 109 3329 122581 5027945 221434465 10255355045 493093495045 24405945849305", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 25 -125 -850 -2285 -2870 -1480 -5550 -23710 -37791 -24118 -4531 16220 57120 77792 38976 2236 114136 254100 151398 -636 1455 -338569 -952026 -776517 79818 80304 164470 608202 680097 67050 -18597 470378 224532 -1051014 -909636 -38172 -768200 -1265472 159468 1009968 -211116 812792 1790712 950616 -365040 -218600 -644368 -1419568 -605540 624376 547196 1340960 3615968 3468000 1368704 175712 -1414944 -4009008 -4166224 -1886592 -314432", "new_number": "12.15", "id": 352, "operator_tex": "5^{2} \\theta^4-5 x\\left(296\\theta^4+574\\theta^3+457\\theta^2+170\\theta+25\\right)-x^{2}\\left(4531\\theta^4+24118\\theta^3+37791\\theta^2+23710\\theta+5550\\right)+2^{2} x^{3}\\left(559\\theta^4+9744\\theta^3+19448\\theta^2+14280\\theta+4055\\right)+x^{4}\\left(1455\\theta^4-636\\theta^3+151398\\theta^2+254100\\theta+114136\\right)+x^{5}\\left(80304\\theta^4+79818\\theta^3-776517\\theta^2-952026\\theta-338569\\right)-x^{6}\\left(18597\\theta^4-67050\\theta^3-680097\\theta^2-608202\\theta-164470\\right)-2 x^{7}\\left(19086\\theta^4+454818\\theta^3+525507\\theta^2-112266\\theta-235189\\right)-2^{2} x^{8}\\left(52779\\theta^4-252492\\theta^3-39867\\theta^2+316368\\theta+192050\\right)-2^{3} x^{9}\\left(27325\\theta^4+45630\\theta^3-118827\\theta^2-223839\\theta-101599\\right)+2^{2} 17 x^{10}\\left(8047\\theta^4+9182\\theta^3-8905\\theta^2-20876\\theta-9476\\right)+2^{5} 17^{2} x^{11}(\\theta+1)(19\\theta^3+129\\theta^2+246\\theta+145)-2^{4} 17^{3} x^{12}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "27/5 1619/5", "discriminant": "12 25 -1480 -4531 2236 1455 80304 -18597 -38172 -211116 -218600 547196 175712 -314432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "f7297f2850190f8613d1cbc3a7363a23", "dim_h": null, "inst": " 27/5 158/5 1619/5 51193/10 485082/5 42119247/20 50098932 1275546325 171045203277/5 4779763236621/5", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(4z+1)(z+1)(68z^2+61z-1)(z-1)^2(34z^3-12z^2+3z-5)^2", "discr_factors": "-314432, (z-1)^2, z+1/4, z+1, z^2+61/68*z-1/68, (z^3-6/17*z^2+3/34*z-5/34)^2", "dm_basis": null, "q": "0 1 -14 7 -44 -9001 -178098 -4866791 -138778216 -4103569980", "yuk": "1 27/5 1291/5 8748 1639467/5 60635277/5 2274484342/5 85919668407/5 3265400231467/5 124691953232673/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-61/136-11/136*33^(1/2)","im":"0","approx_re":"-0.913163","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/68*(2750+34*6547^(1/2))^(1/3)+9/34/(2750+34*6547^(1/2))^(1/3)+2/17","im":"-1/2*3^(1/2)*(1/34*(2750+34*6547^(1/2))^(1/3)+9/17/(2750+34*6547^(1/2))^(1/3))","approx_re":"-0.126959","approx_im":"-0.475615","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/68*(2750+34*6547^(1/2))^(1/3)+9/34/(2750+34*6547^(1/2))^(1/3)+2/17","im":"1/2*3^(1/2)*(1/34*(2750+34*6547^(1/2))^(1/3)+9/17/(2750+34*6547^(1/2))^(1/3))","approx_re":"-0.126959","approx_im":"0.475615","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-61/136+11/136*33^(1/2)","im":"0","approx_re":"0.016104","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/34*(2750+34*6547^(1/2))^(1/3)-9/17/(2750+34*6547^(1/2))^(1/3)+2/17","im":"0","approx_re":"0.606859","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 32*X*(4*X^3-10*X^2-6*X-1), -23552*X^4-63488*X^3-51200*X^2-58368*X-22784, -1376256*X^4-5505024*X^3-10878976*X^2-2162688*X+835584, 247463936*X^4+343932928*X^3+2340421632*X^2+1935671296*X+672923648, -11811160064*X^4+97710505984*X^3+233337520128*X^2+255953207296*X+116836532224, -927712935936*X^4-5153960755200*X^3-2473901162496*X^2-5643587026944*X-2993592205312, 125344325566464*X^4+171523813933056*X^3-847998342922240*X^2-1536567499816960*X-849097854550016, -1548112371908608*X^4+31806672368304128*X^3+21145807625388032*X^2+2533274790395904*X-9033587533807616, -234187180623265792*X^4-2053641430080946176*X^3-2905947659560812544*X^2-1614540466412322816*X-82190693199511552, 17582052945254416384*X^4-6341068275337658368*X^3-103474705038464516096*X^2-144835764016235151360*X-59087227111100907520, -92233720368547758080*X^4+737869762948382064640*X^3+3343472363359856230400*X^2+4381101717506018508800*X+1890791267555229040640, -1844674407370955161600*(2*X+3)^4]", "text": "This is operator \"12.2\" from ...", "degz": 12, "h3": null, "sol": "1 0 1424 13312 4213008 100583424 16977541376 697797427200 85437487152400 4947452599603200", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 0 -32 -192 -320 128 -22784 -58368 -51200 -63488 -23552 835584 -2162688 -10878976 -5505024 -1376256 672923648 1935671296 2340421632 343932928 247463936 116836532224 255953207296 233337520128 97710505984 -11811160064 -2993592205312 -5643587026944 -2473901162496 -5153960755200 -927712935936 -849097854550016 -1536567499816960 -847998342922240 171523813933056 125344325566464 -9033587533807616 2533274790395904 21145807625388032 31806672368304128 -1548112371908608 -82190693199511552 -1614540466412322816 -2905947659560812544 -2053641430080946176 -234187180623265792 -59087227111100907520 -144835764016235151360 -103474705038464516096 -6341068275337658368 17582052945254416384 1890791267555229040640 4381101717506018508800 3343472363359856230400 737869762948382064640 -92233720368547758080 -149418626997047368089600 -398449671992126314905600 -398449671992126314905600 -177088743107611695513600 -29514790517935282585600", "new_number": "12.2", "id": 356, "operator_tex": "\\theta^4+2^{5} x\\theta(4\\theta^3-10\\theta^2-6\\theta-1)-2^{8} x^{2}\\left(92\\theta^4+248\\theta^3+200\\theta^2+228\\theta+89\\right)-2^{14} x^{3}\\left(84\\theta^4+336\\theta^3+664\\theta^2+132\\theta-51\\right)+2^{18} x^{4}\\left(944\\theta^4+1312\\theta^3+8928\\theta^2+7384\\theta+2567\\right)-2^{26} x^{5}\\left(176\\theta^4-1456\\theta^3-3477\\theta^2-3814\\theta-1741\\right)-2^{32} x^{6}\\left(216\\theta^4+1200\\theta^3+576\\theta^2+1314\\theta+697\\right)+2^{38} x^{7}\\left(456\\theta^4+624\\theta^3-3085\\theta^2-5590\\theta-3089\\right)-2^{43} x^{8}\\left(176\\theta^4-3616\\theta^3-2404\\theta^2-288\\theta+1027\\right)-2^{50} x^{9}\\left(208\\theta^4+1824\\theta^3+2581\\theta^2+1434\\theta+73\\right)+2^{57} x^{10}\\left(122\\theta^4-44\\theta^3-718\\theta^2-1005\\theta-410\\right)-2^{62} 5 x^{11}\\left(4\\theta^4-32\\theta^3-145\\theta^2-190\\theta-82\\right)-2^{66} 5^{2} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "64 39744", "discriminant": "12 1 128 -23552 -1376256 247463936 -11811160064 -927712935936 125344325566464 -1548112371908608 -234187180623265792 17582052945254416384 -92233720368547758080 -29514790517935282585600", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b92032007ecbbf3af5801c4b1e4cf97a", "dim_h": null, "inst": " 64 -692 39744 -2001358 95440576 -5132789668 318422804032 -20259691862710 1306803344834048 -87030663571111804", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+64z+4096z^2)(64z-1)^2(64z+1)^2(655360z^3-4096z^2+96z+1)^2", "discr_factors": "-29514790517935282585600, (z+1/64)^2, (z-1/64)^2, -1/4096+1/64*z+z^2, (z^3-1/160*z^2+3/20480*z+1/655360)^2", "dm_basis": null, "q": "0 1 -32 -96 34816 -330448 -52472832 1797613056 -2692546560 1991246120600", "yuk": "1 64 -5472 1073152 -128092384 11930072064 -1108681500672 109219021783040 -10372962361799904 952659638385094144", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/128-1/128*5^(1/2)","im":"0","approx_re":"-0.025282","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/960*(802+15*3165^(1/2))^(1/3)+41/960/(802+15*3165^(1/2))^(1/3)+1/480","im":"0","approx_re":"-0.006598","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1920*(802+15*3165^(1/2))^(1/3)-41/1920/(802+15*3165^(1/2))^(1/3)+1/480","im":"1/64*3^(1/2)*(-1/30*(802+15*3165^(1/2))^(1/3)-41/30/(802+15*3165^(1/2))^(1/3))","approx_re":"0.006424","approx_im":"-0.013784","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1920*(802+15*3165^(1/2))^(1/3)-41/1920/(802+15*3165^(1/2))^(1/3)+1/480","im":"-1/64*3^(1/2)*(-1/30*(802+15*3165^(1/2))^(1/3)-41/30/(802+15*3165^(1/2))^(1/3))","approx_re":"0.006424","approx_im":"0.013784","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128+1/128*5^(1/2)","im":"0","approx_re":"0.009657","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 80*X^4+1120*X^3+1060*X^2+500*X+100, -15616*X^4-99328*X^3-144256*X^2-101760*X-31760, 212992*X^4-589824*X^3-2886656*X^2-3271680*X-1406720, 1441792*X^4+38273024*X^3+133070848*X^2+162693120*X+74915840, -119537664*X^4-553648128*X^3-68943872*X^2+451149824*X+378208256, 905969664*X^4+402653184*X^3-8002732032*X^2-20006830080*X-12308185088, 11811160064*X^4+168577466368*X^3+365810417664*X^2+374937223168*X+131650813952, -253403070464*X^4-1168231104512*X^3-4232690270208*X^2-6251324899328*X-3202434990080, 1443109011456*X^4+2886218022912*X^3+4913442586624*X^2+12472585027584*X+9212704849920, 25288767438848*X^4+83562883710976*X^3+89610197663744*X^2-16492674416640*X-47897475284992, -17592186044416*(2*X+3)*(4*X^3+28*X^2+51*X+28), -70368744177664*(2*X+3)^4]", "text": "This is operator \"12.3\" from ...", "degz": 12, "h3": null, "sol": "1 -4 108 -912 21484 -254064 5580272 -82631232 1766989548 -30747656496", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 25 100 500 1060 1120 80 -31760 -101760 -144256 -99328 -15616 -1406720 -3271680 -2886656 -589824 212992 74915840 162693120 133070848 38273024 1441792 378208256 451149824 -68943872 -553648128 -119537664 -12308185088 -20006830080 -8002732032 402653184 905969664 131650813952 374937223168 365810417664 168577466368 11811160064 -3202434990080 -6251324899328 -4232690270208 -1168231104512 -253403070464 9212704849920 12472585027584 4913442586624 2886218022912 1443109011456 -47897475284992 -16492674416640 89610197663744 83562883710976 25288767438848 -1477743627730944 -3676766883282944 -3272146604261376 -1196268651020288 -140737488355328 -5699868278390784 -15199648742375424 -15199648742375424 -6755399441055744 -1125899906842624", "new_number": "12.3", "id": 357, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(4\\theta^4+56\\theta^3+53\\theta^2+25\\theta+5\\right)-2^{4} x^{2}\\left(976\\theta^4+6208\\theta^3+9016\\theta^2+6360\\theta+1985\\right)+2^{8} x^{3}\\left(832\\theta^4-2304\\theta^3-11276\\theta^2-12780\\theta-5495\\right)+2^{13} x^{4}\\left(176\\theta^4+4672\\theta^3+16244\\theta^2+19860\\theta+9145\\right)-2^{16} x^{5}\\left(1824\\theta^4+8448\\theta^3+1052\\theta^2-6884\\theta-5771\\right)+2^{21} x^{6}\\left(432\\theta^4+192\\theta^3-3816\\theta^2-9540\\theta-5869\\right)+2^{24} x^{7}\\left(704\\theta^4+10048\\theta^3+21804\\theta^2+22348\\theta+7847\\right)-2^{29} x^{8}\\left(472\\theta^4+2176\\theta^3+7884\\theta^2+11644\\theta+5965\\right)+2^{32} x^{9}\\left(336\\theta^4+672\\theta^3+1144\\theta^2+2904\\theta+2145\\right)+2^{36} x^{10}\\left(368\\theta^4+1216\\theta^3+1304\\theta^2-240\\theta-697\\right)-2^{44} x^{11}(2\\theta+3)(4\\theta^3+28\\theta^2+51\\theta+28)-2^{46} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "-12/5 444/5", "discriminant": "12 25 80 -15616 212992 1441792 -119537664 905969664 11811160064 -253403070464 1443109011456 25288767438848 -140737488355328 -1125899906842624", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "45726409a4c817f929c9e6e49b33a941", "dim_h": null, "inst": " -12/5 103/5 444/5 1148/5 -6704 -282147/5 -102292 6992044 315076744/5 41866252/5", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1-16z+256z^2)(16z+1)^2(16z-1)^2(8192z^3+768z^2-32z+5)^2", "discr_factors": "-1125899906842624, -1/256-1/16*z+z^2, (z-1/16)^2, (z+1/16)^2, (z^3+3/32*z^2-1/256*z+5/8192)^2", "dm_basis": null, "q": "0 1 4 -90 -1008 4865 179032 687410 -19539392 -279357676", "yuk": "1 -12/5 812/5 11976/5 74284/5 -4190012/5 -60930952/5 -175430792/5 17899706924/5 229690958352/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(351+6*3165^(1/2))^(1/3)-7/32/(351+6*3165^(1/2))^(1/3)-1/32","im":"0","approx_re":"-0.148005","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.038627","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(351+6*3165^(1/2))^(1/3)+7/64/(351+6*3165^(1/2))^(1/3)-1/32","im":"1/32*3^(1/2)*(-1/6*(351+6*3165^(1/2))^(1/3)+7/2/(351+6*3165^(1/2))^(1/3))","approx_re":"0.027128","approx_im":"-0.058206","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(351+6*3165^(1/2))^(1/3)+7/64/(351+6*3165^(1/2))^(1/3)-1/32","im":"-1/32*3^(1/2)*(-1/6*(351+6*3165^(1/2))^(1/3)+7/2/(351+6*3165^(1/2))^(1/3))","approx_re":"0.027128","approx_im":"0.058206","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32+1/32*5^(1/2)","im":"0","approx_re":"0.101127","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 12+56*X+100*X^2+88*X^3+172*X^4, 12048*X^4+14784*X^3+17712*X^2+9952*X+2256, 432256*X^4+923904*X^3+1185408*X^2+737792*X+186240, 7751680*X^4+25311232*X^3+35200000*X^2+22459392*X+5437440, 33214464*X^4+188669952*X^3+212963328*X^2-3096576*X-67424256, -1147650048*X^4-4994629632*X^3-12364333056*X^2-15859777536*X-7297449984, -17323130880*X^4-99635429376*X^3-245132034048*X^2-295728316416*X-130689662976, -3737124864*X^4-44845498368*X^3-20978860032*X^2-20384317440*X-23272095744, 1353518678016*X^4+9702935101440*X^3+28091627864064*X^2+35372906053632*X+15653117362176, 48922361856*(X+1)*(109*X^3+651*X^2+1373*X+933), -1174136684544*(X+1)*(X+2)*(27*X^2+153*X+199), -169075682574336*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"12.5\" from ...", "degz": 12, "h3": null, "sol": "1 -12 180 -2736 42948 -691632 11651184 -208526400 3997652292 -81421375536", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 12 56 100 88 172 2256 9952 17712 14784 12048 186240 737792 1185408 923904 432256 5437440 22459392 35200000 25311232 7751680 -67424256 -3096576 212963328 188669952 33214464 -7297449984 -15859777536 -12364333056 -4994629632 -1147650048 -130689662976 -295728316416 -245132034048 -99635429376 -17323130880 -23272095744 -20384317440 -20978860032 -44845498368 -3737124864 15653117362176 35372906053632 28091627864064 9702935101440 1353518678016 45644563611648 112814966439936 99018860396544 37180995010560 5332537442304 -467306400448512 -1060245426143232 -835985319395328 -274747984183296 -31701690482688 -2028908190892032 -4734119112081408 -3888740699209728 -1352605460594688 -169075682574336", "new_number": "12.5", "id": 358, "operator_tex": "\\theta^4+2^{2} x\\left(43\\theta^4+22\\theta^3+25\\theta^2+14\\theta+3\\right)+2^{4} x^{2}\\left(753\\theta^4+924\\theta^3+1107\\theta^2+622\\theta+141\\right)+2^{7} x^{3}\\left(3377\\theta^4+7218\\theta^3+9261\\theta^2+5764\\theta+1455\\right)+2^{10} x^{4}\\left(7570\\theta^4+24718\\theta^3+34375\\theta^2+21933\\theta+5310\\right)+2^{12} 3^{2} x^{5}\\left(901\\theta^4+5118\\theta^3+5777\\theta^2-84\\theta-1829\\right)-2^{14} 3^{2} x^{6}\\left(7783\\theta^4+33872\\theta^3+83851\\theta^2+107556\\theta+49489\\right)-2^{17} 3^{3} x^{7}\\left(4895\\theta^4+28154\\theta^3+69267\\theta^2+83564\\theta+36929\\right)-2^{20} 3^{4} x^{8}\\left(44\\theta^4+528\\theta^3+247\\theta^2+240\\theta+274\\right)+2^{23} 3^{5} x^{9}\\left(664\\theta^4+4760\\theta^3+13781\\theta^2+17353\\theta+7679\\right)+2^{26} 3^{6} x^{10}(\\theta+1)(109\\theta^3+651\\theta^2+1373\\theta+933)-2^{29} 3^{7} x^{11}(\\theta+1)(\\theta+2)(27\\theta^2+153\\theta+199)-2^{33} 3^{9} x^{12}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "4 2252/9", "discriminant": "12 1 172 12048 432256 7751680 33214464 -1147650048 -17323130880 -3737124864 1353518678016 5332537442304 -31701690482688 -169075682574336", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bb257a283455fdd1fa17fef9649505e3", "dim_h": null, "inst": " 4 -31 2252/9 -11109/4 33312 -4091081/9 6559596 -399687825/4 1577400224 -25647405040", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(16z+1)(432z^2+36z+1)(24z+1)^2(288z^2+48z+1)^2(8z-1)^3", "discr_factors": "-169075682574336, (z^2+1/6*z+1/288)^2, z^2+1/12*z+1/432, (z+1/24)^2, (z-1/8)^3, z+1/16", "dm_basis": null, "q": "0 1 8 54 -128 -2875 -72144 -100310 -7419904 102483090", "yuk": "1 4 -244 6760 -177988 4164004 -98179432 2249941432 -51160219588 1149924770056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12-1/24*2^(1/2)","im":"0","approx_re":"-0.142259","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"-1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12+1/24*2^(1/2)","im":"0","approx_re":"-0.024408","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 240+1152*X+1920*X^2+1536*X^3+5376*X^4, 1351680+6422528*X+13074432*X^2+10747904*X^3+11534336*X^4, 4680843264+18685624320*X+32602324992*X^2+26273120256*X^3+12431917056*X^4, 8585371189248+30062623588352*X+44328357462016*X^2+29807073034240*X^3+6567004995584*X^4, 8918413690798080+27747275438555136*X+34585138251694080*X^2+16189209207373824*X^3+712483534798848*X^4, 5349643038618550272+14475976577252327424*X+14449517929441525760*X^2+2567051787601182720*X^3-1022317115413102592*X^4, 1733165280597261680640+3722927653563584741376*X+2185939172734581866496*X^2-1478621829658281246720*X^3-524002823843811950592*X^4, 216989050539045455659008+141449633557204841791488*X-476147358030590946312192*X^2-780961357104567577214976*X^3-63751947518740210384896*X^4, -18870576465547102273929216-118833630174931752157446144*X-186042349959132542838767616*X^2-102003116029984336615833600*X^3+21987338344241068114968576*X^4, -3231458715829903783989608448-6441156766906744242834505728*X+2611279770367599017365340160*X^2+12882313533813488485669011456*X^3+8530180583200823456726777856*X^4, 267395048485642139378210832384*(4*X^2+8*X+5)*(X+1)^2, 11408855402054064613470328848384*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"12.8\" from ...", "degz": 12, "h3": null, "sol": "1 -240 68880 -22281984 7875829008 -2976620302080 1183491503120640 -488985507436032000 208051568598734937360 -90553516446640666648320", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 240 1152 1920 1536 5376 1351680 6422528 13074432 10747904 11534336 4680843264 18685624320 32602324992 26273120256 12431917056 8585371189248 30062623588352 44328357462016 29807073034240 6567004995584 8918413690798080 27747275438555136 34585138251694080 16189209207373824 712483534798848 5349643038618550272 14475976577252327424 14449517929441525760 2567051787601182720 -1022317115413102592 1733165280597261680640 3722927653563584741376 2185939172734581866496 -1478621829658281246720 -524002823843811950592 216989050539045455659008 141449633557204841791488 -476147358030590946312192 -780961357104567577214976 -63751947518740210384896 -18870576465547102273929216 -118833630174931752157446144 -186042349959132542838767616 -102003116029984336615833600 21987338344241068114968576 -3231458715829903783989608448 -6441156766906744242834505728 2611279770367599017365340160 12882313533813488485669011456 8530180583200823456726777856 1336975242428210696891054161920 4813110872741558508807794982912 6684876212141053484455270809600 4278320775770274230051373318144 1069580193942568557512843329536 205359397236973163042465919270912 581851625504757295286986771267584 604669336308865424513927428964352 273812529649297550723287892361216 45635421608216258453881315393536", "new_number": "12.8", "id": 360, "operator_tex": "\\theta^4+2^{4} 3 x\\left(112\\theta^4+32\\theta^3+40\\theta^2+24\\theta+5\\right)+2^{13} x^{2}\\left(1408\\theta^4+1312\\theta^3+1596\\theta^2+784\\theta+165\\right)+2^{22} 3 x^{3}\\left(988\\theta^4+2088\\theta^3+2591\\theta^2+1485\\theta+372\\right)+2^{28} x^{4}\\left(24464\\theta^4+111040\\theta^3+165136\\theta^2+111992\\theta+31983\\right)+2^{38} 3^{2} x^{5}\\left(288\\theta^4+6544\\theta^3+13980\\theta^2+11216\\theta+3605\\right)-2^{46} x^{6}\\left(14528\\theta^4-36480\\theta^3-205340\\theta^2-205716\\theta-76023\\right)-2^{55} 3 x^{7}\\left(4848\\theta^4+13680\\theta^3-20224\\theta^2-34444\\theta-16035\\right)-2^{64} 3^{2} x^{8}\\left(384\\theta^4+4704\\theta^3+2868\\theta^2-852\\theta-1307\\right)+2^{74} 3 x^{9}\\left(388\\theta^4-1800\\theta^3-3283\\theta^2-2097\\theta-333\\right)+2^{80} 3^{2} x^{10}\\left(784\\theta^4+1184\\theta^3+240\\theta^2-592\\theta-297\\right)+2^{93} 3^{3} x^{11}(4\\theta^2+8\\theta+5)(\\theta+1)^2+2^{100} 3^{2} x^{12}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "288 12718752", "discriminant": "12 1 5376 11534336 12431917056 6567004995584 712483534798848 -1022317115413102592 -524002823843811950592 -63751947518740210384896 21987338344241068114968576 8530180583200823456726777856 1069580193942568557512843329536 45635421608216258453881315393536", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "3373bbe821cc39369e8ba8c46ec88532", "dim_h": null, "inst": " 288 -71872 12718752 -4499223616 1510063178336 -613603380869568 255458414844660768 -114105705094996919360 52474211351785220042496 -24986192330547118925460544", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(1+768z+65536z^2)(256z+1)^2(512z+1)^2(201326592z^3-1536z-1)^2", "discr_factors": "45635421608216258453881315393536, (z^3-1/131072*z-1/201326592)^2, (z+1/512)^2, (z+1/256)^2, 1/65536+3/256*z+z^2", "dm_basis": null, "q": "0 1 192 51296 8185856 3551010352 100668758016 396243551740416 -88674484154925056 74550062959638239896", "yuk": "1 288 -574688 343406592 -287950886112 188757897292288 -132538329924995072 87622236291718643712 -58422121008926373598432 38253700075451425754386176", "gv2": null, "gv0": null, "gv1": null, 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{"pols": "[X^4, -384*X^2+384*X+112-1536*X^3+4608*X^4, -57344+3588096*X^2+7077888*X^4+786432*X-1966080*X^3, -55574528+201326592*X+4043309056*X^4+1207959552*X^3+1086324736*X^2, -2134598746112*X-721554505728-1546188226560*X^3-2472827420672*X^2+682899800064*X^4, -3878252389072896*X^2-2179232046252032*X^3-966745598722048-3097874011258880*X-87960930222080*X^4, -1038079714108899328*X^2-515099207380500480*X^3-37717646879227904*X^4-1009087791507701760*X-336362597169233920, 169695633959320289280*X^2-25652503477502345216*X^3+206517064512701464576*X+86397055251475595264-13474770085092524032*X^4, -7452484605778658852864*X^3-3357307421415138394112*X^4+34975026763753309863936+39439138829591021355008*X^2+74524846057786588528640*X, 3985677311541980560359424*X^2+1303373149272022078980096+2266735911777429702574080*X^3-37778931862957161709568*X^4+3740114254432759009247232*X, 793055337667196738607251456+851083777008698938993147904*X^3+2359823199887756149026455552*X^2+19342813113834066795298816*X^4+2340480386773922082231156736*X, 4951760157141521099596496896*(X^2+2*X+2)*(X+1)^2, 2535301200456458802993406410752*(X+1)^2*(X+2)^2]", "text": "This is operator \"12.9\" from ...", "degz": 12, "h3": null, "sol": "1 -112 25872 -5691136 1522998544 -407085549312 119255489896704 -35539835658399744 11159992408909880592 -3577172180560064681728", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 112 384 -384 -1536 4608 -57344 786432 3588096 -1966080 7077888 -55574528 201326592 1086324736 1207959552 4043309056 -721554505728 -2134598746112 -2472827420672 -1546188226560 682899800064 -966745598722048 -3097874011258880 -3878252389072896 -2179232046252032 -87960930222080 -336362597169233920 -1009087791507701760 -1038079714108899328 -515099207380500480 -37717646879227904 86397055251475595264 206517064512701464576 169695633959320289280 -25652503477502345216 -13474770085092524032 34975026763753309863936 74524846057786588528640 39439138829591021355008 -7452484605778658852864 -3357307421415138394112 1303373149272022078980096 3740114254432759009247232 3985677311541980560359424 2266735911777429702574080 -37778931862957161709568 793055337667196738607251456 2340480386773922082231156736 2359823199887756149026455552 851083777008698938993147904 19342813113834066795298816 9903520314283042199192993792 29710560942849126597578981376 34662321099990647697175478272 19807040628566084398385987584 4951760157141521099596496896 10141204801825835211973625643008 30423614405477505635920876929024 32958915605933964438914283339776 15211807202738752817960438464512 2535301200456458802993406410752", "new_number": "12.9", "id": 361, "operator_tex": "\\theta^4+2^{4} x\\left(288\\theta^4-96\\theta^3-24\\theta^2+24\\theta+7\\right)+2^{13} x^{2}\\left(864\\theta^4-240\\theta^3+438\\theta^2+96\\theta-7\\right)+2^{20} x^{3}\\left(3856\\theta^4+1152\\theta^3+1036\\theta^2+192\\theta-53\\right)+2^{30} x^{4}\\left(636\\theta^4-1440\\theta^3-2303\\theta^2-1988\\theta-672\\right)-2^{38} x^{5}\\left(320\\theta^4+7928\\theta^3+14109\\theta^2+11270\\theta+3517\\right)-2^{48} x^{6}\\left(134\\theta^4+1830\\theta^3+3688\\theta^2+3585\\theta+1195\\right)-2^{56} x^{7}\\left(187\\theta^4+356\\theta^3-2355\\theta^2-2866\\theta-1199\\right)-2^{65} x^{8}\\left(91\\theta^4+202\\theta^3-1069\\theta^2-2020\\theta-948\\right)-2^{74} x^{9}\\left(2\\theta^4-120\\theta^3-211\\theta^2-198\\theta-69\\right)+2^{84} x^{10}\\left(\\theta^4+44\\theta^3+122\\theta^2+121\\theta+41\\right)+2^{92} x^{11}(\\theta^2+2\\theta+2)(\\theta+1)^2+2^{101} x^{12}(\\theta+1)^2(\\theta+2)^2", "superseek": "800 38825120", "discriminant": "12 1 4608 7077888 4043309056 682899800064 -87960930222080 -37717646879227904 -13474770085092524032 -3357307421415138394112 -37778931862957161709568 19342813113834066795298816 4951760157141521099596496896 2535301200456458802993406410752", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "7e2f8423069147eb36cfd1d714d1996a", "dim_h": null, "inst": " 800 -121088 38825120 -15641910336 7303803435104 -3757025938916608 2067113576842034720 -1195120836090276119616 717793785040806933094144 -444314199236824978685657856", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(256z-1)(512z+1)(65536z^2-256z-1)(256z+1)^2(67108864z^3+1792z+1)^2", "discr_factors": "2535301200456458802993406410752, z+1/512, z^2-1/256*z-1/65536, (z+1/256)^2, z-1/256, (z^3+7/262144*z+1/67108864)^2", "dm_basis": null, "q": "0 1 -64 18528 -14309376 8332516912 -5018612926464 3187444513858048 -2090057652965605376 1403072112583866473112", "yuk": "1 800 -967904 1048279040 -1001083229408 912975429388800 -811517601758676992 709019956856817909760 -611901868079222456472800 523271669294748255273910016", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512-1/512*5^(1/2)","im":"0","approx_re":"-0.002414","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"0","approx_re":"-0.001953125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1536*(27+3*1110^(1/2))^(1/3)+7/512/(27+3*1110^(1/2))^(1/3)","im":"0","approx_re":"-0.000552","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(27+3*1110^(1/2))^(1/3)-7/1024/(27+3*1110^(1/2))^(1/3)","im":"1/512*3^(1/2)*(-1/6*(27+3*1110^(1/2))^(1/3)-7/2/(27+3*1110^(1/2))^(1/3))","approx_re":"0.000276","approx_im":"-0.00519","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(27+3*1110^(1/2))^(1/3)-7/1024/(27+3*1110^(1/2))^(1/3)","im":"-1/512*3^(1/2)*(-1/6*(27+3*1110^(1/2))^(1/3)-7/2/(27+3*1110^(1/2))^(1/3))","approx_re":"0.000276","approx_im":"0.00519","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512+1/512*5^(1/2)","im":"0","approx_re":"0.00632","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -140*X^4-152*X^3-140*X^2-64*X-12, 8736*X^4+17088*X^3+20592*X^2+12640*X+3216, -315392*X^4-824832*X^3-1141056*X^2-811072*X-236352, 7199488*X^4+22632448*X^3+33786112*X^2+25145856*X+7554816, -104279040*X^4-378722304*X^3-599851008*X^2-439520256*X-124710912, 860700672*X^4+3588636672*X^3+5853929472*X^2+3884212224*X+863797248, -1825210368*X^4-9822339072*X^3-9894887424*X^2+8154611712*X+9521528832, -34791358464*X^4-172884492288*X^3-449399881728*X^2-605350526976*X-289478541312, 286399660032*X^4+1812675428352*X^3+4617302704128*X^2+5673210347520*X+2552626151424, 12230590464*(X+1)*(X^3-105*X^2-277*X-267), -73383542784*(X+1)*(X+2)*(93*X^2+441*X+607), 7925422620672*(X+3)*(X+2)*(X+1)*(X+6), 63403380965376*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.10\" from ...", "degz": 13, "h3": null, "sol": "1 12 180 2928 47556 674352 5050224 -159433920 -10791594684 -419663644368", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -12 -64 -140 -152 -140 3216 12640 20592 17088 8736 -236352 -811072 -1141056 -824832 -315392 7554816 25145856 33786112 22632448 7199488 -124710912 -439520256 -599851008 -378722304 -104279040 863797248 3884212224 5853929472 3588636672 860700672 9521528832 8154611712 -9894887424 -9822339072 -1825210368 -289478541312 -605350526976 -449399881728 -172884492288 -34791358464 2552626151424 5673210347520 4617302704128 1812675428352 286399660032 -3265567653888 -6653441212416 -4672085557248 -1271981408256 12230590464 -89087620939776 -198355716145152 -155279576530944 -52836150804480 -6824669478912 285315214344192 570630428688384 372494863171584 95105071448064 7925422620672 1521681143169024 3170169048268800 2219118333788160 634033809653760 63403380965376", "new_number": "13.10", "id": 362, "operator_tex": "\\theta^4-2^{2} x\\left(35\\theta^4+38\\theta^3+35\\theta^2+16\\theta+3\\right)+2^{4} x^{2}\\left(546\\theta^4+1068\\theta^3+1287\\theta^2+790\\theta+201\\right)-2^{6} x^{3}\\left(4928\\theta^4+12888\\theta^3+17829\\theta^2+12673\\theta+3693\\right)+2^{8} x^{4}\\left(28123\\theta^4+88408\\theta^3+131977\\theta^2+98226\\theta+29511\\right)-2^{10} 3^{2} x^{5}\\left(11315\\theta^4+41094\\theta^3+65088\\theta^2+47691\\theta+13532\\right)+2^{13} 3^{2} x^{6}\\left(11674\\theta^4+48674\\theta^3+79399\\theta^2+52683\\theta+11716\\right)-2^{15} 3^{3} x^{7}\\left(2063\\theta^4+11102\\theta^3+11184\\theta^2-9217\\theta-10762\\right)-2^{17} 3^{4} x^{8}\\left(3277\\theta^4+16284\\theta^3+42329\\theta^2+57018\\theta+27266\\right)+2^{20} 3^{5} x^{9}\\left(1124\\theta^4+7114\\theta^3+18121\\theta^2+22265\\theta+10018\\right)+2^{24} 3^{6} x^{10}(\\theta+1)(\\theta^3-105\\theta^2-277\\theta-267)-2^{25} 3^{7} x^{11}(\\theta+1)(\\theta+2)(93\\theta^2+441\\theta+607)+2^{27} 3^{10} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(\\theta+6)+2^{30} 3^{10} x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "4 -628/9", "discriminant": "13 1 -140 8736 -315392 7199488 -104279040 860700672 -1825210368 -34791358464 286399660032 12230590464 -6824669478912 7925422620672 63403380965376", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "2a9fda379889eb2fd218bd01f2520f7a", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "(8z-1)(10368z^3-1728z^2+72z-1)(12z-1)^2(288z^2-24z+1)^2(4z+1)^3", "discr_factors": "63403380965376, z-1/8, z^3-1/6*z^2+1/144*z-1/10368, (z-1/12)^2, (z+1/4)^3, (z^2-1/12*z+1/288)^2", "dm_basis": null, "q": "0 1 -16 198 -1760 13349 -57888 -559014 17566336 -323621262", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"-1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"-0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"-1/24","approx_re":"0.0416666666667","approx_im":"-0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"1/24","approx_re":"0.0416666666667","approx_im":"0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)+1/18","im":"0","approx_re":"0.112601","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -98*X^4-164*X^3-137*X^2-55*X-9, 3822*X^4+11400*X^3+14901*X^2+8746*X+2007, -64148*X^4-196344*X^3-271665*X^2-199855*X-60354, 802771*X^4+2242504*X^3+2203855*X^2+1316868*X+390636, -2072466-11384370*X-21473472*X^2-17894556*X^3-6240870*X^4, 34703892*X^4+88520976*X^3+131922738*X^2+92783340*X+24084054, -106587576*X^4-370055952*X^3-517140450*X^2-341720694*X-88435476, 61135479*X^4+605217744*X^3+1126226430*X^2+715267584*X+125073072, 382650642*X^4+1610148132*X^3+2858927319*X^2+2931610077*X+1242795555, -59049*(X+1)*(8018*X^3+62342*X^2+139257*X+108861), -19683*(X+1)*(X+2)*(28988*X^2+81396*X+36331), 531441*(X+3)*(X+2)*(X+1)*(1061*X+5386), 487862838*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.11\" from ...", "degz": 13, "h3": null, "sol": "1 9 135 2115 18063 -742041 -58425219 -2629040895 -91773711585 -2470544785593", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -9 -55 -137 -164 -98 2007 8746 14901 11400 3822 -60354 -199855 -271665 -196344 -64148 390636 1316868 2203855 2242504 802771 -2072466 -11384370 -21473472 -17894556 -6240870 24084054 92783340 131922738 88520976 34703892 -88435476 -341720694 -517140450 -370055952 -106587576 125073072 715267584 1126226430 605217744 61135479 1242795555 2931610077 2858927319 1610148132 382650642 -6428133189 -14651119782 -11904219351 -4154687640 -473454882 -1430206146 -5349544155 -6662597085 -3313829880 -570570804 17174047356 34868906892 23376495267 6245494632 563858901 11708708112 24393141900 17075199330 4878628380 487862838", "new_number": "13.11", "id": 363, "operator_tex": "\\theta^4-x\\left(98\\theta^4+164\\theta^3+137\\theta^2+55\\theta+9\\right)+x^{2}\\left(3822\\theta^4+11400\\theta^3+14901\\theta^2+8746\\theta+2007\\right)-x^{3}\\left(64148\\theta^4+196344\\theta^3+271665\\theta^2+199855\\theta+60354\\right)+x^{4}\\left(802771\\theta^4+2242504\\theta^3+2203855\\theta^2+1316868\\theta+390636\\right)-2 3 x^{5}\\left(1040145\\theta^4+2982426\\theta^3+3578912\\theta^2+1897395\\theta+345411\\right)+2 3^{2} x^{6}\\left(1927994\\theta^4+4917832\\theta^3+7329041\\theta^2+5154630\\theta+1338003\\right)-2 3^{5} x^{7}\\left(219316\\theta^4+761432\\theta^3+1064075\\theta^2+703129\\theta+181966\\right)+3^{4} x^{8}\\left(754759\\theta^4+7471824\\theta^3+13904030\\theta^2+8830464\\theta+1544112\\right)+3^{7} x^{9}\\left(174966\\theta^4+736236\\theta^3+1307237\\theta^2+1340471\\theta+568265\\right)-3^{10} x^{10}(\\theta+1)(8018\\theta^3+62342\\theta^2+139257\\theta+108861)-3^{9} x^{11}(\\theta+1)(\\theta+2)(28988\\theta^2+81396\\theta+36331)+3^{12} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(1061\\theta+5386)+2 3^{15} 17 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "7 -2044/9", "discriminant": "13 1 -98 3822 -64148 802771 -6240870 34703892 -106587576 61135479 382650642 -473454882 -570570804 563858901 487862838", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d6e183df7853fe5068c8b8cdeb3f63cb", "dim_h": null, "inst": " 7 -31/4 -2044/9 -1380 -8520 1625077/9 5885526 71672646 -85064144/3 -25138098376", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(2z-1)(4131z^3-2187z^2+81z-1)(3z-1)^2(81z^2-6z+1)^2(z+1)^3", "discr_factors": "487862838, z-1/2, z^3-9/17*z^2+1/51*z-1/4131, (z^2-2/27*z+1/81)^2, (z-1/3)^2, (z+1)^3", "dm_basis": null, "q": "0 1 -19 297 -2927 28877 -227367 453751 -17165155 -7631523", "yuk": "1 7 -55 -6125 -88375 -1064993 38995661 2018735425 36696306377 -20670593117", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-2/51*3^(2/3)-8/153*3^(1/3)+3/17","im":"-1/6*3^(1/2)*(4/17*3^(2/3)-16/51*3^(1/3))","approx_re":"0.019487","approx_im":"-0.01067","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-2/51*3^(2/3)-8/153*3^(1/3)+3/17","im":"1/6*3^(1/2)*(4/17*3^(2/3)-16/51*3^(1/3))","approx_re":"0.019487","approx_im":"0.01067","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"-2/27*2^(1/2)","approx_re":"0.037037037037","approx_im":"-0.104757","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"2/27*2^(1/2)","approx_re":"0.037037037037","approx_im":"0.104757","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3","im":"0","approx_re":"0.333333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"4/51*3^(2/3)+16/153*3^(1/3)+3/17","im":"0","approx_re":"0.490438","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -204-1020*X-2268*X^2-2496*X^3+48*X^4, 84912+252608*X+347264*X^2+114688*X^3-81920*X^4, -6926848-13962240*X-11120640*X^2+14843904*X^3+3112960*X^4, 155938816+68894720*X-171048960*X^2-1059586048*X^3+164233216*X^4, -6062997504-7282622464*X-5929172992*X^2+8271167488*X^3-16133390336*X^4, 859616313344+1699158687744*X+1580598296576*X^2+797655957504*X^3+460769460224*X^4, -18678527557632-21786825588736*X-10930960203776*X^2-4434553733120*X^3-1795296329728*X^4, -1550645597306880-3241704949809152*X-2663060112146432*X^2-1053847535484928*X^3-189231964094464*X^4, 71654726105563136+114686347041570816*X+76059146348134400*X^2+25439125653946368*X^3+3793246396350464*X^4, -282477662595710976-143652843436376064*X+27184875240947712*X^2+13695516835577856*X^3-1899956092796928*X^4, -30436725960071970816-43337259604884062208*X-23836532480881459200*X^2-5926174159666151424*X^3-555631604026834944*X^4, 488763704872009728000+579349811464381661184*X+264332024729070206976*X^2+55448318612185546752*X^3+4539628424389459968*X^4, -40532396646334464*(4*X+15)^2*(4*X+13)^2]", "text": "This is operator \"13.12\" from ...", "degz": 13, "h3": null, "sol": "1 68/3 1036/3 44464/27 -8491132/81 -375713680/81 -77951356112/729 -2216528518336/2187 2961040408196/81 44594081081086096/19683", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 9 -204 -1020 -2268 -2496 48 84912 252608 347264 114688 -81920 -6926848 -13962240 -11120640 14843904 3112960 155938816 68894720 -171048960 -1059586048 164233216 -6062997504 -7282622464 -5929172992 8271167488 -16133390336 859616313344 1699158687744 1580598296576 797655957504 460769460224 -18678527557632 -21786825588736 -10930960203776 -4434553733120 -1795296329728 -1550645597306880 -3241704949809152 -2663060112146432 -1053847535484928 -189231964094464 71654726105563136 114686347041570816 76059146348134400 25439125653946368 3793246396350464 -282477662595710976 -143652843436376064 27184875240947712 13695516835577856 -1899956092796928 -30436725960071970816 -43337259604884062208 -23836532480881459200 -5926174159666151424 -555631604026834944 488763704872009728000 579349811464381661184 264332024729070206976 55448318612185546752 4539628424389459968 -1541244382476867993600 -1770455085511889387520 -761360538604746571776 -145268109580462718976 -10376293541461622784", "new_number": "13.12", "id": 364, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(4\\theta^4-208\\theta^3-189\\theta^2-85\\theta-17\\right)-2^{4} x^{2}\\left(5120\\theta^4-7168\\theta^3-21704\\theta^2-15788\\theta-5307\\right)+2^{9} x^{3}\\left(6080\\theta^4+28992\\theta^3-21720\\theta^2-27270\\theta-13529\\right)+2^{12} x^{4}\\left(40096\\theta^4-258688\\theta^3-41760\\theta^2+16820\\theta+38071\\right)-2^{17} x^{5}\\left(123088\\theta^4-63104\\theta^3+45236\\theta^2+55562\\theta+46257\\right)+2^{21} x^{6}\\left(219712\\theta^4+380352\\theta^3+753688\\theta^2+810222\\theta+409897\\right)-2^{24} x^{7}\\left(107008\\theta^4+264320\\theta^3+651536\\theta^2+1298596\\theta+1113327\\right)-2^{28} x^{8}\\left(704944\\theta^4+3925888\\theta^3+9920672\\theta^2+12076292\\theta+5776605\\right)+2^{34} x^{9}\\left(220796\\theta^4+1480752\\theta^3+4427225\\theta^2+6675624\\theta+4170854\\right)-2^{36} 3 x^{10}\\left(9216\\theta^4-66432\\theta^3-131864\\theta^2+696808\\theta+1370197\\right)-2^{40} 3 x^{11}\\left(168448\\theta^4+1796608\\theta^3+7226400\\theta^2+13138336\\theta+9227347\\right)+2^{47} 3^{2} x^{12}\\left(3584\\theta^4+43776\\theta^3+208688\\theta^2+457392\\theta+385875\\right)-2^{52} 3^{2} x^{13}(4\\theta+15)^2(4\\theta+13)^2", "superseek": "76/3 746444/81", "discriminant": "13 9 48 -81920 3112960 164233216 -16133390336 460769460224 -1795296329728 -189231964094464 3793246396350464 -1899956092796928 -555631604026834944 4539628424389459968 -10376293541461622784", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "fec1670f7378fb309308803574ce2a00", "dim_h": null, "inst": " 76/3 -3641/9 746444/81 -69221068/243 7315935712/729 -94673347033/243 317597920839140/19683 -41437793786849908/59049 285131504387648/9 -7047375603656400689528/4782969", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+16z)(16z-3)^2(16z+1)^2(3072z^2-48z-1)^2(1024z^2-48z+1)^2", "discr_factors": "-10376293541461622784, (z-3/16)^2, (z+1/16)^2, (z^2-3/64*z+1/1024)^2, -1/16+z, (z^2-1/64*z-1/3072)^2", "dm_basis": null, "q": "0 1 -68/3 2314/3 -2244592/81 275896975/243 -149313016/3 15139831370450/6561 -2187651932261440/19683 5511977350786", "yuk": "1 76/3 -28900/9 248840 -4430928652/243 914491982468/729 -84153840648 108936086848323656/19683 -21216151495582815332/59049 23095651855648328", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128-1/384*57^(1/2)","im":"0","approx_re":"-0.011849","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128","im":"-1/128*7^(1/2)","approx_re":"0.0234375","approx_im":"-0.02067","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128","im":"1/128*7^(1/2)","approx_re":"0.0234375","approx_im":"0.02067","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128+1/384*57^(1/2)","im":"0","approx_re":"0.027474","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16","im":"0","approx_re":"0.1875","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["13/4","13/4","15/4","15/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -88-352*X-560*X^2-416*X^3-592*X^4, 71488+207616*X+240000*X^2+148480*X^3+124672*X^4, -4145152-24778752*X-36247552*X^2-19881984*X^3-11259904*X^4, -544288768-8519680*X+1299316736*X^2+997195776*X^3+369426432*X^4, 76156174336+132991942656*X+76594282496*X^2+11251220480*X^3+2295332864*X^4, -2967565500416-5359565537280*X-4076066570240*X^2-1603566305280*X^3-261305139200*X^4, 7421384720384+22344701575168*X+18091610210304*X^2+4998805061632*X^3+104421392384*X^4, 1242406800326656+2098478071152640*X+1342980438884352*X^2+389605073354752*X^3+42356967473152*X^4, -1221540238589952+622186142367744*X+2078076976496640*X^2+1068725302198272*X^3+164651866259456*X^4, 245715285162590208+231851817925869568*X+80160994734637056*X^2+12367306789224448*X^3+787250325487616*X^4, -8659168640177799168-8954317143491477504*X-3432833631591071744*X^2-577445914721910784*X^3-35958428274786304*X^4, -58849240018292047872-64872100832458309632*X-26579119100833824768*X^2-4782822804267466752*X^3-317503773729619968*X^4, -40532396646334464*(2*X+7)^4]", "text": "This is operator \"13.13\" from ...", "degz": 13, "h3": null, "sol": "1 88 6576 475776 37804816 3738209664 484854506240 77418965035008 13896778295618832 2652477226781113728", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -88 -352 -560 -416 -592 71488 207616 240000 148480 124672 -4145152 -24778752 -36247552 -19881984 -11259904 -544288768 -8519680 1299316736 997195776 369426432 76156174336 132991942656 76594282496 11251220480 2295332864 -2967565500416 -5359565537280 -4076066570240 -1603566305280 -261305139200 7421384720384 22344701575168 18091610210304 4998805061632 104421392384 1242406800326656 2098478071152640 1342980438884352 389605073354752 42356967473152 -1221540238589952 622186142367744 2078076976496640 1068725302198272 164651866259456 245715285162590208 231851817925869568 80160994734637056 12367306789224448 787250325487616 -8659168640177799168 -8954317143491477504 -3432833631591071744 -577445914721910784 -35958428274786304 -58849240018292047872 -64872100832458309632 -26579119100833824768 -4782822804267466752 -317503773729619968 -97318284347849048064 -111220896397541769216 -47666098456089329664 -9079256848778919936 -648518346341351424", "new_number": "13.13", "id": 365, "operator_tex": "\\theta^4-2^{3} x\\left(74\\theta^4+52\\theta^3+70\\theta^2+44\\theta+11\\right)+2^{6} x^{2}\\left(1948\\theta^4+2320\\theta^3+3750\\theta^2+3244\\theta+1117\\right)-2^{11} x^{3}\\left(5498\\theta^4+9708\\theta^3+17699\\theta^2+12099\\theta+2024\\right)+2^{12} x^{4}\\left(90192\\theta^4+243456\\theta^3+317216\\theta^2-2080\\theta-132883\\right)+2^{16} x^{5}\\left(35024\\theta^4+171680\\theta^3+1168736\\theta^2+2029296\\theta+1162051\\right)-2^{20} x^{6}\\left(249200\\theta^4+1529280\\theta^3+3887240\\theta^2+5111280\\theta+2830091\\right)+2^{24} x^{7}\\left(6224\\theta^4+297952\\theta^3+1078344\\theta^2+1331848\\theta+442349\\right)+2^{29} x^{8}\\left(78896\\theta^4+725696\\theta^3+2501496\\theta^2+3908720\\theta+2314163\\right)+2^{34} x^{9}\\left(9584\\theta^4+62208\\theta^3+120960\\theta^2+36216\\theta-71103\\right)+2^{38} x^{10}\\left(2864\\theta^4+44992\\theta^3+291624\\theta^2+843472\\theta+893907\\right)-2^{42} x^{11}\\left(8176\\theta^4+131296\\theta^3+780536\\theta^2+2035976\\theta+1968867\\right)-2^{47} 3 x^{12}\\left(752\\theta^4+11328\\theta^3+62952\\theta^2+153648\\theta+139383\\right)-2^{52} 3^{2} x^{13}\\left((2\\theta+7)^4\\right)", "superseek": "32 74144", "discriminant": "13 1 -592 124672 -11259904 369426432 2295332864 -261305139200 104421392384 42356967473152 164651866259456 787250325487616 -35958428274786304 -317503773729619968 -648518346341351424", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e20067c633b6371dc19f760a1140f0e4", "dim_h": null, "inst": " 32 1048 74144 7046865 788076384 98346034360 13319538930464 1922602998244371 291905288193737472 46157908383075915656", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "10", "laurent": null, "discriminant_tex": "-(16z-1)(262144z^4-8192z^3+2304z^2-256z+1)(48z-1)^2(16z+1)^2(512z^2+128z-1)^2", "discr_factors": "-648518346341351424, (z^2+1/4*z-1/512)^2, (z-1/48)^2, z^4-1/32*z^3+9/1024*z^2-1/1024*z+1/262144, (z+1/16)^2, z-1/16", "dm_basis": null, "q": "0 1 0 -1856 -251904 -29487952 -3505549312 -451969196032 -64581129469952 -10105208957717352", "yuk": "1 32 8416 2001920 451007776 98509548032 21242745432064 4568601853149184 984372735552125728 212798955093236619008", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8-3/32*2^(1/2)","im":"0","approx_re":"-0.257583","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16*RootOf(4*_Z^4-2*_Z^3+9*_Z^2-16*_Z+1,index = 3)","im":"0","approx_re":"-0.024399","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16*RootOf(4*_Z^4-2*_Z^3+9*_Z^2-16*_Z+1,index = 4)","im":"0","approx_re":"-0.024399","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16*RootOf(4*_Z^4-2*_Z^3+9*_Z^2-16*_Z+1,index = 1)","im":"0","approx_re":"0.004052","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8+3/32*2^(1/2)","im":"0","approx_re":"0.007583","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16*RootOf(4*_Z^4-2*_Z^3+9*_Z^2-16*_Z+1,index = 2)","im":"0","approx_re":"0.075996","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["7/2","7/2","7/2","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -48-240*X+564*X^4-600*X^3-540*X^2, 2864*X^2-16832*X^3+2112+4832*X+8176*X^4, 39168*X^3-119168-284928*X-22912*X^4-237696*X^2, -11020800*X^2-10753024*X-3515648-4605952*X^3-613376*X^4, -118550528*X-533504-96985088*X^3-20197376*X^4-174219264*X^2, -6373376*X^4+1630912512*X^2+2918510592+3753738240*X+215875584*X^3, 2041446400*X^4+70747422720*X+50348032000*X^2+16052387840*X^3+35938271232, -127163432960*X^2-383335268352*X-2295332864*X^4-20883439616*X^3-411011645440, -4584118419456*X-3594808983552-2301645291520*X^2-47286583296*X^4-534371106816*X^3, 2257005314048*X^3+19639522295808+184482267136*X^4+10732989054976*X^2+23418711834624*X, -16450798485504*X^2-30675763724288-3349000749056*X^3-36484136566784*X-261456134144*X^4, 10657961345024*X^2+20593562877952+24107651432448*X+158913789952*X^4+2113123909632*X^3, -2147483648*(2*X+7)^4]", "text": "This is operator \"13.14\" from ...", "degz": 13, "h3": null, "sol": "1 16/3 52/3 3200/27 129668/81 125632/81 -25024880/729 1935341056/2187 540211076/81 -1984641992128/19683", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 9 -48 -240 -540 -600 564 2112 4832 2864 -16832 8176 -119168 -284928 -237696 39168 -22912 -3515648 -10753024 -11020800 -4605952 -613376 -533504 -118550528 -174219264 -96985088 -20197376 2918510592 3753738240 1630912512 215875584 -6373376 35938271232 70747422720 50348032000 16052387840 2041446400 -411011645440 -383335268352 -127163432960 -20883439616 -2295332864 -3594808983552 -4584118419456 -2301645291520 -534371106816 -47286583296 19639522295808 23418711834624 10732989054976 2257005314048 184482267136 -30675763724288 -36484136566784 -16450798485504 -3349000749056 -261456134144 20593562877952 24107651432448 10657961345024 2113123909632 158913789952 -5156108238848 -5892695130112 -2525440770048 -481036337152 -34359738368", "new_number": "13.14", "id": 366, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(47\\theta^4-50\\theta^3-45\\theta^2-20\\theta-4\\right)+2^{4} x^{2}\\left(511\\theta^4-1052\\theta^3+179\\theta^2+302\\theta+132\\right)-2^{7} x^{3}\\left(179\\theta^4-306\\theta^3+1857\\theta^2+2226\\theta+931\\right)-2^{8} x^{4}\\left(2396\\theta^4+17992\\theta^3+43050\\theta^2+42004\\theta+13733\\right)-2^{10} x^{5}\\left(19724\\theta^4+94712\\theta^3+170136\\theta^2+115772\\theta+521\\right)-2^{12} x^{6}\\left(1556\\theta^4-52704\\theta^3-398172\\theta^2-916440\\theta-712527\\right)+2^{15} x^{7}\\left(62300\\theta^4+489880\\theta^3+1536500\\theta^2+2159040\\theta+1096749\\right)-2^{18} x^{8}\\left(8756\\theta^4+79664\\theta^3+485090\\theta^2+1462308\\theta+1567885\\right)-2^{20} x^{9}\\left(45096\\theta^4+509616\\theta^3+2195020\\theta^2+4371756\\theta+3428277\\right)+2^{22} x^{10}\\left(43984\\theta^4+538112\\theta^3+2558944\\theta^2+5583456\\theta+4682427\\right)-2^{25} x^{11}\\left(7792\\theta^4+99808\\theta^3+490272\\theta^2+1087312\\theta+914209\\right)+2^{28} x^{12}\\left(592\\theta^4+7872\\theta^3+39704\\theta^2+89808\\theta+76717\\right)-2^{31} x^{13}\\left((2\\theta+7)^4\\right)", "superseek": "20/3 36340/81", "discriminant": "13 9 564 8176 -22912 -613376 -20197376 -6373376 2041446400 -2295332864 -47286583296 184482267136 -261456134144 158913789952 -34359738368", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4b391bfc7d7d7a60edd430907aff9fae", "dim_h": null, "inst": " 20/3 -410/9 36340/81 -5386783/972 57719264/729 -302657854/243 412478160028/19683 -87431803318969/236196 183190870304/27 -612513702217877768/4782969", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "10", "laurent": null, "discriminant_tex": "-(8z-1)(1024z^4-2048z^3+144z^2-4z+1)(8z-3)^2(8z+1)^2(32z^2-32z-1)^2", "discr_factors": "-34359738368, (z-3/8)^2, (z+1/8)^2, z^4-2*z^3+9/64*z^2-1/256*z+1/1024, (z^2-z-1/32)^2, z-1/8", "dm_basis": null, "q": "0 1 -16/3 226/3 -102752/81 5160319/243 -382048 47496722090/6561 -2801165310080/19683 8629012022/3", "yuk": "1 20/3 -3220/9 12120 -86275468/243 7214912860/729 -269017448 141480009020824/19683 -11191291789766756/59049 4946153510328", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2-3/8*2^(1/2)","im":"0","approx_re":"-0.03033","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4*RootOf(4*_Z^4-32*_Z^3+9*_Z^2-_Z+1,index = 4)","im":"0","approx_re":"-0.015388","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4*RootOf(4*_Z^4-32*_Z^3+9*_Z^2-_Z+1,index = 3)","im":"0","approx_re":"-0.015388","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4*RootOf(4*_Z^4-32*_Z^3+9*_Z^2-_Z+1,index = 1)","im":"0","approx_re":"0.102801","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/8","im":"0","approx_re":"0.375","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2+3/8*2^(1/2)","im":"0","approx_re":"1.03033","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4*RootOf(4*_Z^4-32*_Z^3+9*_Z^2-_Z+1,index = 2)","im":"0","approx_re":"1.927975","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["7/2","7/2","7/2","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 112+384*X-384*X^2-1536*X^3+3840*X^4, -143360+491520*X+3883008*X^2-786432*X^3+3735552*X^4, 10485760-327155712*X-1744830464*X^2+2415919104*X^3-503316480*X^4, -692026605568-2141041197056*X-2595233988608*X^2-2834678415360*X^3-1108101562368*X^4, -422556062449664-1432113895178240*X-1825739057922048*X^2-721279627821056*X^3+63771674411008*X^4, 265167020247482368+947022559143002112*X+1436014962433589248*X^2+834291830970384384*X^3+96264442035044352*X^4, 166759287002274725888+408242299021880721408*X+245932568451448045568*X^2-32570032505143427072*X^3-13258597302978740224*X^4, -81290189446819566583808-230501290573037702217728*X-229915606448697423953920*X^2-52462540145629964795904*X^3+1051464412201444442112*X^4, -2927867219379180032491520+4037623342853546657710080*X+24476025480713371142586368*X^2+11588687348962109354409984*X^3+524182679598530618720256*X^4, 5218932763276354147206561792+10655472174083341545860235264*X+4205852926439294898802786304*X^2-1924609904826489646132232192*X^3-385647336457066706731270144*X^4, -929692969503320586449242292224-2282761432442241226913985069056*X-1655744802544196117677578649600*X^2-63134942003554394019855335424*X^3+38995111237489478659322413056*X^4, 136589352174591718011269770379264+405014366772919293778196674117632*X+403429803522634007026325795110912*X^2+129300361223279398952663726948352*X^3+3169126500570573503741758013440*X^4, -19146594665847176880206205213999104-56790746890224677187052303600844800*X-58088821104858384094184927683149824*X^2-22067261648773017421254609399185408*X^3-1298074214633706907132624082305024*X^4, 83076749736557242056487941267521536*(5*X^2+22*X+22)*(X+1)^2, -42535295865117307932921825928971026432*(X+1)^2*(X+2)^2]", "text": "This is operator \"15.1\" from ...", "degz": 15, "h3": null, "sol": "1 -112 25872 -5691136 1522998544 -407085549312 119255489896704 -35539835658399744 11159992408909880592 -3577172180560064681728", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 1 112 384 -384 -1536 3840 -143360 491520 3883008 -786432 3735552 10485760 -327155712 -1744830464 2415919104 -503316480 -692026605568 -2141041197056 -2595233988608 -2834678415360 -1108101562368 -422556062449664 -1432113895178240 -1825739057922048 -721279627821056 63771674411008 265167020247482368 947022559143002112 1436014962433589248 834291830970384384 96264442035044352 166759287002274725888 408242299021880721408 245932568451448045568 -32570032505143427072 -13258597302978740224 -81290189446819566583808 -230501290573037702217728 -229915606448697423953920 -52462540145629964795904 1051464412201444442112 -2927867219379180032491520 4037623342853546657710080 24476025480713371142586368 11588687348962109354409984 524182679598530618720256 5218932763276354147206561792 10655472174083341545860235264 4205852926439294898802786304 -1924609904826489646132232192 -385647336457066706731270144 -929692969503320586449242292224 -2282761432442241226913985069056 -1655744802544196117677578649600 -63134942003554394019855335424 38995111237489478659322413056 136589352174591718011269770379264 405014366772919293778196674117632 403429803522634007026325795110912 129300361223279398952663726948352 3169126500570573503741758013440 -19146594665847176880206205213999104 -56790746890224677187052303600844800 -58088821104858384094184927683149824 -22067261648773017421254609399185408 -1298074214633706907132624082305024 1827688494204259325242734707885473792 5483065482612777975728204123656421376 5898449231295564186010643829994029056 2658455991569831745807614120560689152 415383748682786210282439706337607680 -170141183460469231731687303715884105728 -510423550381407695195061911147652317184 -552958846246525003127983737076623343616 -255211775190703847597530955573826158592 -42535295865117307932921825928971026432", "new_number": "15.1", "id": 369, "operator_tex": "\\theta^4+2^{4} x\\left(240\\theta^4-96\\theta^3-24\\theta^2+24\\theta+7\\right)+2^{12} x^{2}\\left(912\\theta^4-192\\theta^3+948\\theta^2+120\\theta-35\\right)-2^{21} x^{3}\\left(240\\theta^4-1152\\theta^3+832\\theta^2+156\\theta-5\\right)-2^{29} x^{4}\\left(2064\\theta^4+5280\\theta^3+4834\\theta^2+3988\\theta+1289\\right)+2^{36} x^{5}\\left(928\\theta^4-10496\\theta^3-26568\\theta^2-20840\\theta-6149\\right)+2^{44} x^{6}\\left(5472\\theta^4+47424\\theta^3+81628\\theta^2+53832\\theta+15073\\right)-2^{54} x^{7}\\left(736\\theta^4+1808\\theta^3-13652\\theta^2-22662\\theta-9257\\right)+2^{62} x^{8}\\left(228\\theta^4-11376\\theta^3-49855\\theta^2-49982\\theta-17627\\right)+2^{72} x^{9}\\left(111\\theta^4+2454\\theta^3+5183\\theta^2+855\\theta-620\\right)-2^{80} x^{10}\\left(319\\theta^4+1592\\theta^3-3479\\theta^2-8814\\theta-4317\\right)+2^{89} x^{11}\\left(63\\theta^4-102\\theta^3-2675\\theta^2-3688\\theta-1502\\right)+2^{98} x^{12}\\left(10\\theta^4+408\\theta^3+1273\\theta^2+1278\\theta+431\\right)-2^{108} x^{13}\\left(4\\theta^4+68\\theta^3+179\\theta^2+175\\theta+59\\right)+2^{116} x^{14}(5\\theta^2+22\\theta+22)(\\theta+1)^2-2^{125} x^{15}(\\theta+1)^2(\\theta+2)^2", "superseek": "800 38825120", "discriminant": "15 1 3840 3735552 -503316480 -1108101562368 63771674411008 96264442035044352 -13258597302978740224 1051464412201444442112 524182679598530618720256 -385647336457066706731270144 38995111237489478659322413056 3169126500570573503741758013440 -1298074214633706907132624082305024 415383748682786210282439706337607680 -42535295865117307932921825928971026432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c26e6797c51f4c09c1dfbc9e354ce168", "dim_h": null, "inst": " 800 -121088 38825120 -15641910336 7303803435104 -3757025938916608 2067113576842034720 -1195120836090276119616 717793785040806933094144 -444314199236824978685657856", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(512z+1)(65536z^2-256z-1)(256z+1)^2(67108864z^3+1792z+1)^2(256z-1)^4", "discr_factors": "-42535295865117307932921825928971026432, z^2-1/256*z-1/65536, (z+1/256)^2, (z^3+7/262144*z+1/67108864)^2, z+1/512, (z-1/256)^4", "dm_basis": null, "q": "0 1 -64 18528 -14309376 8332516912 -5018612926464 3187444513858048 -2090057652965605376 1403072112583866473112", "yuk": "1 800 -967904 1048279040 -1001083229408 912975429388800 -811517601758676992 709019956856817909760 -611901868079222456472800 523271669294748255273910016", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512-1/512*5^(1/2)","im":"0","approx_re":"-0.002414","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"0","approx_re":"-0.001953125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1536*(27+3*1110^(1/2))^(1/3)+7/512/(27+3*1110^(1/2))^(1/3)","im":"0","approx_re":"-0.000552","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(27+3*1110^(1/2))^(1/3)-7/1024/(27+3*1110^(1/2))^(1/3)","im":"1/512*3^(1/2)*(-1/6*(27+3*1110^(1/2))^(1/3)-7/2/(27+3*1110^(1/2))^(1/3))","approx_re":"0.000276","approx_im":"-0.00519","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(27+3*1110^(1/2))^(1/3)-7/1024/(27+3*1110^(1/2))^(1/3)","im":"-1/512*3^(1/2)*(-1/6*(27+3*1110^(1/2))^(1/3)-7/2/(27+3*1110^(1/2))^(1/3))","approx_re":"0.000276","approx_im":"0.00519","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512+1/512*5^(1/2)","im":"0","approx_re":"0.00632","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1280*X^4-2560*X^3-2432*X^2-1152*X-240, 393216*X^4+3932160*X^3+5816320*X^2+3768320*X+1130496, 436207616*X^4-2516582400*X^3-6517948416*X^2-5058330624*X-1859125248, -493921239040*X^4+146028888064*X^3+4114578669568*X^2+4041564225536*X+1751541350400, 194613558116352*X^4+857619069665280*X^3-1343328331235328*X^2-1853776604430336*X-996157534765056, 3377699720527872*X^4-638385247179767808*X^3+81064793292668928*X^2+401524054277750784*X+331858997541863424, -42369865294301626368*X^4+214875745421101105152*X^3+115598395235345891328*X^2+19995982345525002240*X-53529785170925715456, 24128341248412093513728*X^4-23021536603989520416768*X^3-32055829514088773320704*X^2-27365744833348119822336*X-190232048260129751040, -7886352026392307506872320*X^4-10455319393073394503122944*X^3-9913427839164102714851328*X^2-3612610359395278588477440*X-1200661678269607295582208, 1713047886393929540558651392*X^4+5428076930069684994430730240*X^3+8543176535761680720354869248*X^2+6805647901520554939008417792*X+2303230359957046320785522688, -249754402925825470460898312192*X^4-1210705358421101908851343491072*X^3-2482379263777008796241468850176*X^2-2451430762794874289368990744576*X-961473211449349958193918246912, 69324642199981295394350956544*(2*X+3)*(164*X^3+810*X^2+1434*X+891), -248459517644732962693353828253696*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "This is operator \"13.5\" from ...", "degz": 13, "h3": null, "sol": "1 240 44304 7503616 1459723536 367730839296 100944978993408 25446669435924480 5685941956548042000 1199414755279751683840", "n_discr_factors": "3", "c3": null, "operator": "4 13 0 0 0 0 1 -240 -1152 -2432 -2560 -1280 1130496 3768320 5816320 3932160 393216 -1859125248 -5058330624 -6517948416 -2516582400 436207616 1751541350400 4041564225536 4114578669568 146028888064 -493921239040 -996157534765056 -1853776604430336 -1343328331235328 857619069665280 194613558116352 331858997541863424 401524054277750784 81064793292668928 -638385247179767808 3377699720527872 -53529785170925715456 19995982345525002240 115598395235345891328 214875745421101105152 -42369865294301626368 -190232048260129751040 -27365744833348119822336 -32055829514088773320704 -23021536603989520416768 24128341248412093513728 -1200661678269607295582208 -3612610359395278588477440 -9913427839164102714851328 -10455319393073394503122944 -7886352026392307506872320 2303230359957046320785522688 6805647901520554939008417792 8543176535761680720354869248 5428076930069684994430730240 1713047886393929540558651392 -961473211449349958193918246912 -2451430762794874289368990744576 -2482379263777008796241468850176 -1210705358421101908851343491072 -249754402925825470460898312192 185304768600550002589100106842112 421771123144686201179231219613696 367281954375500902999271367770112 146413644326360495872869220220928 22738482641593864889347113746432 -14907571058683977761601229695221760 -30808980187946887373975874703458304 -23603654176249631455868613684101120 -7950704564631454806187322504118272 -993838070578931850773415313014784", "new_number": "13.5", "id": 373, "operator_tex": "\\theta^4-2^{4} x\\left(80\\theta^4+160\\theta^3+152\\theta^2+72\\theta+15\\right)+2^{14} x^{2}\\left(24\\theta^4+240\\theta^3+355\\theta^2+230\\theta+69\\right)+2^{20} x^{3}\\left(416\\theta^4-2400\\theta^3-6216\\theta^2-4824\\theta-1773\\right)-2^{28} x^{4}\\left(1840\\theta^4-544\\theta^3-15328\\theta^2-15056\\theta-6525\\right)+2^{38} 3 x^{5}\\left(236\\theta^4+1040\\theta^3-1629\\theta^2-2248\\theta-1208\\right)+2^{47} 3 x^{6}\\left(8\\theta^4-1512\\theta^3+192\\theta^2+951\\theta+786\\right)-2^{53} 3 x^{7}\\left(1568\\theta^4-7952\\theta^3-4278\\theta^2-740\\theta+1981\\right)+2^{60} 3 x^{8}\\left(6976\\theta^4-6656\\theta^3-9268\\theta^2-7912\\theta-55\\right)-2^{70} x^{9}\\left(6680\\theta^4+8856\\theta^3+8397\\theta^2+3060\\theta+1017\\right)+2^{76} x^{10}\\left(22672\\theta^4+71840\\theta^3+113068\\theta^2+90072\\theta+30483\\right)-2^{84} x^{11}\\left(12912\\theta^4+62592\\theta^3+128336\\theta^2+126736\\theta+49707\\right)+2^{93} 7 x^{12}(2\\theta+3)(164\\theta^3+810\\theta^2+1434\\theta+891)-2^{102} 7^{2} x^{13}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "224 4999008", "discriminant": "13 1 -1280 393216 436207616 -493921239040 194613558116352 3377699720527872 -42369865294301626368 24128341248412093513728 -7886352026392307506872320 1713047886393929540558651392 -249754402925825470460898312192 22738482641593864889347113746432 -993838070578931850773415313014784", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "6d924b9c12ee7379761d409ee75e42ab", "dim_h": null, "inst": " 224 -22712 4999008 -855952448 199163179936 -53623886987352 14508663979369952 -4181788885349205056 1262106790700693848320 -389795261431691959411304", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(65536z^2-256z+1)^2(117440512z^3-196608z^2+1)^2(256z-1)^3", "discr_factors": "-993838070578931850773415313014784, (z^3-3/1792*z^2+1/117440512)^2, (z-1/256)^3, (z^2-1/256*z+1/65536)^2", "dm_basis": null, "q": "0 1 -192 51296 -15951872 4939324976 -1598313617408 535361648681472 -182102770349637632 62981390560055417496", "yuk": "1 224 -181472 134973440 -54781138144 24895397492224 -11582759454476288 4976471744923893760 -2141075909353574126816 920075850420805950398720", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3584*(188+84*5^(1/2))^(1/3)-1/896/(188+84*5^(1/2))^(1/3)+1/1792","im":"0","approx_re":"-0.00161","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/7168*(188+84*5^(1/2))^(1/3)+1/1792/(188+84*5^(1/2))^(1/3)+1/1792","im":"1/512*3^(1/2)*(-1/14*(188+84*5^(1/2))^(1/3)+2/7/(188+84*5^(1/2))^(1/3))","approx_re":"0.001642","approx_im":"-0.00161","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/7168*(188+84*5^(1/2))^(1/3)+1/1792/(188+84*5^(1/2))^(1/3)+1/1792","im":"-1/512*3^(1/2)*(-1/14*(188+84*5^(1/2))^(1/3)+2/7/(188+84*5^(1/2))^(1/3))","approx_re":"0.001642","approx_im":"0.00161","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"-1/512*3^(1/2)","approx_re":"0.001953125","approx_im":"-0.003383","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"1/512*3^(1/2)","approx_re":"0.001953125","approx_im":"0.003383","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -217*X^4-178*X^3-178*X^2-89*X-18, 6192+24334*X+39795*X^2+33324*X^3+20643*X^4, -1114456*X^4-2668464*X^3-3660480*X^2-2524040*X-713952, 36536560*X^4+116144992*X^3+177648928*X^2+131081136*X+38709792, -697005504*X^4-2793831552*X^3-4599245184*X^2-3383810496*X-951160320, -1056312576+18392859648*X+42714847296*X^2+27747606528*X^3+5402526912*X^4, 61703493120*X^4+287137944576*X^3+857573111808*X^2+1328270068224*X+678366544896, -1748457529344*X^4-10559291424768*X^3-27646051700736*X^2-35365777514496*X-16291812372480, 9300074102784*X^4+69953722122240*X^3+191597765492736*X^2+246689600274432*X+114446794752000, 15479341056*(X+1)*(6759*X^3+40481*X^2+97855*X+79397), -41278242816*(X+1)*(X+2)*(29107*X^2+160713*X+251822), -71328803586048*(X+3)*(X+2)*(X+1)*(17*X+4), 38517553936465920*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.6\" from ...", "degz": 13, "h3": null, "sol": "1 18 378 8280 187434 4330908 101527344 2402089344 57112491690 1359099894852", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -18 -89 -178 -178 -217 6192 24334 39795 33324 20643 -713952 -2524040 -3660480 -2668464 -1114456 38709792 131081136 177648928 116144992 36536560 -951160320 -3383810496 -4599245184 -2793831552 -697005504 -1056312576 18392859648 42714847296 27747606528 5402526912 678366544896 1328270068224 857573111808 287137944576 61703493120 -16291812372480 -35365777514496 -27646051700736 -10559291424768 -1748457529344 114446794752000 246689600274432 191597765492736 69953722122240 9300074102784 1229013241823232 2743744160858112 2141350124322816 731244071485440 104624866197504 -20789539324821504 -44452209462607872 -32699592002764800 -10238407678623744 -1201485813645312 -1711891286065152 -10414005323563008 -15050377556656128 -7560853180121088 -1212589660962816 924421294475182080 1925877696823296000 1348114387776307200 385175539364659200 38517553936465920", "new_number": "13.6", "id": 374, "operator_tex": "\\theta^4-x\\left(217\\theta^4+178\\theta^3+178\\theta^2+89\\theta+18\\right)+x^{2}\\left(6192+24334\\theta+39795\\theta^2+33324\\theta^3+20643\\theta^4\\right)-2^{3} x^{3}\\left(139307\\theta^4+333558\\theta^3+457560\\theta^2+315505\\theta+89244\\right)+2^{4} x^{4}\\left(2283535\\theta^4+7259062\\theta^3+11103058\\theta^2+8192571\\theta+2419362\\right)-2^{6} 3 x^{5}\\left(3630237\\theta^4+14551206\\theta^3+23954402\\theta^2+17624013\\theta+4953960\\right)+2^{6} 3^{2} x^{6}\\left(9379387\\theta^4+48172928\\theta^3+74157721\\theta^2+31932048\\theta-1833876\\right)+2^{9} 3^{5} x^{7}\\left(495945\\theta^4+2307886\\theta^3+6892788\\theta^2+10676039\\theta+5452406\\right)-2^{12} 3^{4} x^{8}\\left(5269994\\theta^4+31826568\\theta^3+83327461\\theta^2+106595346\\theta+49104855\\right)+2^{15} 3^{7} x^{9}\\left(129774\\theta^4+976140\\theta^3+2673571\\theta^2+3442327\\theta+1597000\\right)+2^{18} 3^{10} x^{10}(\\theta+1)(6759\\theta^3+40481\\theta^2+97855\\theta+79397)-2^{21} 3^{9} x^{11}(\\theta+1)(\\theta+2)(29107\\theta^2+160713\\theta+251822)-2^{27} 3^{12} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(17\\theta+4)+2^{29} 3^{15} 5 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "2 421/9", "discriminant": "13 1 -217 20643 -1114456 36536560 -697005504 5402526912 61703493120 -1748457529344 9300074102784 104624866197504 -1201485813645312 -1212589660962816 38517553936465920", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "679aa37a05aafe03e8d68785d566fcfb", "dim_h": null, "inst": " 2 -3/2 421/9 -519/2 285 -77417/6 98268 -807195/2 20513023/3 -58806463", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(16z-1)(19440z^3-2187z^2+81z-1)(24z-1)^2(648z^2-48z+1)^2(8z+1)^3", "discr_factors": "38517553936465920, (z-1/24)^2, z^3-9/80*z^2+1/240*z-1/19440, z-1/16, (z^2-2/27*z+1/648)^2, (z+1/8)^3", "dm_basis": null, "q": "0 1 -17 216 -1969 5945 257742 -7810742 146004187 -2114608545", "yuk": "1 2 -10 1265 -16618 35627 -2785759 33705926 -206658538 4984665854", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/480*3^(2/3)-1/1440*3^(1/3)+3/80","im":"-1/6*3^(1/2)*(1/80*3^(2/3)-1/240*3^(1/3))","approx_re":"0.032165","approx_im":"-0.005771","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/480*3^(2/3)-1/1440*3^(1/3)+3/80","im":"1/6*3^(1/2)*(1/80*3^(2/3)-1/240*3^(1/3))","approx_re":"0.032165","approx_im":"0.005771","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"-1/108*2^(1/2)","approx_re":"0.037037037037","approx_im":"-0.013095","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"1/108*2^(1/2)","approx_re":"0.037037037037","approx_im":"0.013095","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/240*3^(2/3)+1/720*3^(1/3)+3/80","im":"0","approx_re":"0.04817","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 127*X^4-2*X^3+22*X^2+23*X+6, 4803*X^4+1644*X^3+3459*X^2+430*X-384, 20056*X^4+64944*X^3-19584*X^2-57016*X-23520, -1506800*X^4-1413728*X^3-2134688*X^2-1784112*X-622368, 4290624*X^4+37959552*X^3+150483072*X^2+171473472*X+69110784, 500582592*X^4+2717687808*X^3+6429575232*X^2+6772792320*X+2640096000, -3400496640*X^4-18498917376*X^3-47206361088*X^2-61076740608*X-29078811648, -77713219584*X^4-719080685568*X^3-2326537064448*X^2-3124173348864*X-1451769163776, 17464017125376*X+7548312748032+5122993029120*X^3+14459018379264*X^2+646835798016*X^4, 191102976*(X+1)*(15879*X^3+214401*X^2+816191*X+896789), -4586471424*(X+1)*(X+2)*(8037*X^2+71103*X+151546), 2641807540224*(X+3)*(X+2)*(X+1)*(31*X+152), -52836150804480*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.7\" from ...", "degz": 13, "h3": null, "sol": "1 -6 90 -1368 21546 -385236 7073136 -133747200 2639185578 -52865736876", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 6 23 22 -2 127 -384 430 3459 1644 4803 -23520 -57016 -19584 64944 20056 -622368 -1784112 -2134688 -1413728 -1506800 69110784 171473472 150483072 37959552 4290624 2640096000 6772792320 6429575232 2717687808 500582592 -29078811648 -61076740608 -47206361088 -18498917376 -3400496640 -1451769163776 -3124173348864 -2326537064448 -719080685568 -77713219584 7548312748032 17464017125376 14459018379264 5122993029120 646835798016 171379046744064 327355575828480 196949198241792 44007193313280 3034524155904 -1390122796843008 -2737407950585856 -1747119973072896 -436696290164736 -36861470834688 2409328476684288 4908478409736192 3310184847900672 892930948595712 81896033746944 -1268067619307520 -2641807540224000 -1849265278156800 -528361508044800 -52836150804480", "new_number": "13.7", "id": 375, "operator_tex": "\\theta^4+x\\left(127\\theta^4-2\\theta^3+22\\theta^2+23\\theta+6\\right)+x^{2}\\left(4803\\theta^4+1644\\theta^3+3459\\theta^2+430\\theta-384\\right)+2^{3} x^{3}\\left(2507\\theta^4+8118\\theta^3-2448\\theta^2-7127\\theta-2940\\right)-2^{4} x^{4}\\left(94175\\theta^4+88358\\theta^3+133418\\theta^2+111507\\theta+38898\\right)+2^{6} 3 x^{5}\\left(22347\\theta^4+197706\\theta^3+783766\\theta^2+893091\\theta+359952\\right)+2^{6} 3^{2} x^{6}\\left(869067\\theta^4+4718208\\theta^3+11162457\\theta^2+11758320\\theta+4583500\\right)-2^{9} 3^{3} x^{7}\\left(245985\\theta^4+1338174\\theta^3+3414812\\theta^2+4418167\\theta+2103502\\right)-2^{12} 3^{4} x^{8}\\left(234234\\theta^4+2167368\\theta^3+7012373\\theta^2+9416514\\theta+4375751\\right)+2^{15} 3^{5} x^{9}\\left(81234\\theta^4+643380\\theta^3+1815861\\theta^2+2193249\\theta+947968\\right)+2^{18} 3^{6} x^{10}(\\theta+1)(15879\\theta^3+214401\\theta^2+816191\\theta+896789)-2^{21} 3^{7} x^{11}(\\theta+1)(\\theta+2)(8037\\theta^2+71103\\theta+151546)+2^{27} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(31\\theta+152)-2^{29} 3^{9} 5 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "10 7709/9", "discriminant": "13 1 127 4803 20056 -1506800 4290624 500582592 -3400496640 -77713219584 646835798016 3034524155904 -36861470834688 81896033746944 -52836150804480", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "47093f7f3b7ab4544ef6b418bdae778b", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(16z+1)(2160z^3+27z^2-9z+1)(24z+1)^2(72z^2-48z-1)^2(8z-1)^3", "discr_factors": "-52836150804480, z+1/16, z^3+1/80*z^2-1/240*z+1/2160, (z-1/8)^3, (z^2-2/3*z-1/72)^2, (z+1/24)^2", "dm_basis": null, "q": "0 1 -1 0 -161 9305 -210114 4823674 -121393813 3105856143", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/80*3^(2/3)-1/80*3^(1/3)-1/240","im":"0","approx_re":"-0.100198","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3-1/4*2^(1/2)","im":"0","approx_re":"-0.02022","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"-0.05194","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"-1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"0.05194","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3+1/4*2^(1/2)","im":"0","approx_re":"0.686887","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -55*X^4-142*X^3-112*X^2-41*X-6, 456*X^4+4668*X^3+7455*X^2+3958*X+696, 35078*X^4+127188*X^3+175671*X^2+133507*X+41718, 82753*X^4+664768*X^3+2450839*X^2+2316756*X+736812, -2655315*X^4-4028814*X^3+2649993*X^2+8119728*X+4050684, -6219018*X^4-60015708*X^3-89450730*X^2-53365392*X-11353464, -175541148*X^2-256801536*X+49673412*X^4+29231928*X^3-103999248, 1325353104*X+906483312*X^3+407584224+1655573904*X^2+145904976*X^4, -132584688*X^4+131663232*X^3+1842270480*X^2+2895494688*X+1361857536, -23328*(X+1)*(20847*X^3+146325*X^2+303230*X+217616), 139968*(X+1)*(X+2)*(1791*X^2-1173*X-14800), 10077696*(X+3)*(X+2)*(X+1)*(52*X+257), -342641664*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.8\" from ...", "degz": 13, "h3": null, "sol": "1 6 90 1044 -5670 -1072764 -51455844 -1769263560 -45316195686 -614757875220", "n_discr_factors": "6", "c3": null, "operator": "4 13 0 0 0 0 1 -6 -41 -112 -142 -55 696 3958 7455 4668 456 41718 133507 175671 127188 35078 736812 2316756 2450839 664768 82753 4050684 8119728 2649993 -4028814 -2655315 -11353464 -53365392 -89450730 -60015708 -6219018 -103999248 -256801536 -175541148 29231928 49673412 407584224 1325353104 1655573904 906483312 145904976 1361857536 2895494688 1842270480 131663232 -132584688 -5076546048 -12150295488 -10487219040 -3899788416 -486318816 -4143052800 -6542944128 -2062708416 587865600 250682688 15539807232 31633887744 21304249344 5734209024 524040192 -8223399936 -17132083200 -11992458240 -3426416640 -342641664", "new_number": "13.8", "id": 376, "operator_tex": "\\theta^4-x\\left(55\\theta^4+142\\theta^3+112\\theta^2+41\\theta+6\\right)+x^{2}\\left(456\\theta^4+4668\\theta^3+7455\\theta^2+3958\\theta+696\\right)+x^{3}\\left(35078\\theta^4+127188\\theta^3+175671\\theta^2+133507\\theta+41718\\right)+x^{4}\\left(82753\\theta^4+664768\\theta^3+2450839\\theta^2+2316756\\theta+736812\\right)-3 x^{5}\\left(885105\\theta^4+1342938\\theta^3-883331\\theta^2-2706576\\theta-1350228\\right)-2 3^{2} x^{6}\\left(345501\\theta^4+3334206\\theta^3+4969485\\theta^2+2964744\\theta+630748\\right)+2^{2} 3^{3} x^{7}\\left(459939\\theta^4+270666\\theta^3-1625381\\theta^2-2377792\\theta-962956\\right)+2^{4} 3^{4} x^{8}\\left(112581\\theta^4+699447\\theta^3+1277449\\theta^2+1022649\\theta+314494\\right)-2^{4} 3^{5} x^{9}\\left(34101\\theta^4-33864\\theta^3-473835\\theta^2-744726\\theta-350272\\right)-2^{5} 3^{6} x^{10}(\\theta+1)(20847\\theta^3+146325\\theta^2+303230\\theta+217616)+2^{6} 3^{7} x^{11}(\\theta+1)(\\theta+2)(1791\\theta^2-1173\\theta-14800)+2^{9} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(52\\theta+257)-2^{10} 3^{9} 17 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "8 -830/9", "discriminant": "13 1 -55 456 35078 82753 -2655315 -6219018 49673412 145904976 -132584688 -486318816 250682688 524040192 -342641664", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bcea3fff557004b4da26e9aa34caac6c", "dim_h": null, "inst": " 8 -45/2 -830/9 -5301/2 2790 787217/6 7180248 115903851/2 -289645460/3 -32500367598", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "-(2z+1)(3672z^3+1728z^2-72z+1)(6z-1)^2(12z+1)^2(3z+1)^2(z-1)^3", "discr_factors": "-342641664, (z-1/6)^2, (z-1)^3, z^3+8/17*z^2-1/51*z+1/3672, (z+1/12)^2, (z+1/3)^2, z+1/2", "dm_basis": null, "q": "0 1 -17 243 -1855 16442 -120123 -129899 -24681317 160305642", "yuk": "1 8 -172 -2482 -169804 348758 28337150 2462825072 29671216052 -70383849262", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/34*3^(2/3)-2/17*3^(1/3)-8/51","im":"0","approx_re":"-0.510076","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"-0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"-1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 8*X*(4*X^3-8*X^2-5*X-1), -768*X^4-1920*X^3-720*X^2-1184*X-576, -12928*X^4+43776*X^3+49536*X^2+52480*X+21888, 798976*X^4+3610624*X^3+7907584*X^2+7096320*X+2393856, 12072960*X^4+74870784*X^3+185812992*X^2+189333504*X+71073792, 691863552*X+324882432-103809024*X^3-83755008*X^4+366796800*X^2, -1367801856*X^4-10769006592*X^3-27168473088*X^2-29974855680*X-12247400448, -127210881024*X+7134511104*X^3-69343838208-59103903744*X^2+5833949184*X^4, 58350108672*X^4+615096778752*X^3+1952435404800*X^2+2512494526464*X+1124959518720, -764411904*(X+1)*(368*X^3+1752*X^2+1297*X-1035), -18345885696*(X+1)*(X+2)*(39*X^2+513*X+1172), 330225942528*(X+3)*(X+2)*(X+1)*(17*X+82), -7925422620672*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.9\" from ...", "degz": 13, "h3": null, "sol": "1 0 36 -192 -4284 -155520 -2431440 -24917760 300589380 21072871680", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 0 -8 -40 -64 32 -576 -1184 -720 -1920 -768 21888 52480 49536 43776 -12928 2393856 7096320 7907584 3610624 798976 71073792 189333504 185812992 74870784 12072960 324882432 691863552 366796800 -103809024 -83755008 -12247400448 -29974855680 -27168473088 -10769006592 -1367801856 -69343838208 -127210881024 -59103903744 7134511104 5833949184 1124959518720 2512494526464 1952435404800 615096778752 58350108672 791166320640 -200275918848 -2330691895296 -1620553236480 -281303580672 -43002756071424 -83327012831232 -51166675206144 -11557907988480 -715489542144 162471163723776 331546846298112 224223414976512 60761573425152 5613841022976 -190210142896128 -396271131033600 -277389791723520 -79254226206720 -7925422620672", "new_number": "13.9", "id": 377, "operator_tex": "\\theta^4+2^{3} x\\theta(4\\theta^3-8\\theta^2-5\\theta-1)-2^{4} x^{2}\\left(48\\theta^4+120\\theta^3+45\\theta^2+74\\theta+36\\right)-2^{7} x^{3}\\left(101\\theta^4-342\\theta^3-387\\theta^2-410\\theta-171\\right)+2^{8} x^{4}\\left(3121\\theta^4+14104\\theta^3+30889\\theta^2+27720\\theta+9351\\right)+2^{11} 3^{2} x^{5}\\left(655\\theta^4+4062\\theta^3+10081\\theta^2+10272\\theta+3856\\right)-2^{12} 3^{2} x^{6}\\left(2272\\theta^4+2816\\theta^3-9950\\theta^2-18768\\theta-8813\\right)-2^{15} 3^{3} x^{7}\\left(1546\\theta^4+12172\\theta^3+30708\\theta^2+33880\\theta+13843\\right)+2^{16} 3^{4} x^{8}\\left(1099\\theta^4+1344\\theta^3-11134\\theta^2-23964\\theta-13063\\right)+2^{19} 3^{5} x^{9}\\left(458\\theta^4+4828\\theta^3+15325\\theta^2+19721\\theta+8830\\right)-2^{20} 3^{6} x^{10}(\\theta+1)(368\\theta^3+1752\\theta^2+1297\\theta-1035)-2^{23} 3^{7} x^{11}(\\theta+1)(\\theta+2)(39\\theta^2+513\\theta+1172)+2^{24} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(17\\theta+82)-2^{27} 3^{10} x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "8 2200/9", "discriminant": "13 1 32 -768 -12928 798976 12072960 -83755008 -1367801856 5833949184 58350108672 -281303580672 -715489542144 5613841022976 -7925422620672", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "31ff3b7bd4c8fed070ee43b6903d3752", "dim_h": null, "inst": " 8 -75/2 2200/9 -8117/2 47936 -4052675/6 11499480 -175321542 2998366528 -53613060132", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(8z+1)(5184z^3+432z^2-36z+1)(12z+1)^2(144z^2-24z-1)^2(4z-1)^3", "discr_factors": "-7925422620672, (z-1/4)^3, (z^2-1/6*z-1/144)^2, (z+1/12)^2, z^3+1/12*z^2-1/144*z+1/5184, z+1/8", "dm_basis": null, "q": "0 1 -8 54 96 2149 -74736 1483178 -32369792 559973682", "yuk": "1 8 -292 6608 -260036 5992008 -145889992 3944321648 -89764889540 2185809205520", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/18*2^(1/3)-1/36*2^(2/3)-1/36","im":"0","approx_re":"-0.141868","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12-1/12*2^(1/2)","im":"0","approx_re":"-0.034518","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)-1/36","im":"1/24*3^(1/2)*(-2/3*2^(1/3)+1/3*2^(2/3))","approx_re":"0.029267","approx_im":"-0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)-1/36","im":"-1/24*3^(1/2)*(-2/3*2^(1/3)+1/3*2^(2/3))","approx_re":"0.029267","approx_im":"0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12+1/12*2^(1/2)","im":"0","approx_re":"0.201184","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 16+70*X+118*X^2+96*X^3+144*X^4, 3968+13064*X+18292*X^2+13008*X^3+9108*X^4, 384352+1051584*X+1238000*X^2+762144*X^3+334512*X^4, 20030464+47545600*X+48121088*X^2+25534976*X^3+7957888*X^4, 640318976+1346663424*X+1191714816*X^2+546017280*X^3+129690624*X^4, 13412447232+25299763200*X+19808776192*X^2+7882752000*X^3+1494462464*X^4, 190799466496+325567234048*X+227550035968*X^2+79250423808*X^3+12387532800*X^4, 1877723480064+2918001410048*X+1833709076480*X^2+563327008768*X^3+74335780864*X^4, 12850565480448+18291291586560*X+10397339877376*X^2+2838151299072*X^3+321845723136*X^4, 60646329679872+79470283194368*X+41080682708992*X^2+10030761902080*X^3+991013371904*X^4, 192324546068480+233163624284160*X+110170390659072*X^2+24213146566656*X^3+2107084111872*X^4, 388342050979840+437965868236800*X+190187325882368*X^2+37855841746944*X^3+2928093954048*X^4, 446692704911360+471936375193600*X+189595962572800*X^2+34402688040960*X^3+2383706849280*X^4, 858993459200*(X+4)^4]", "text": "This is operator \"14.10\" from ...", "degz": 14, "h3": null, "sol": "1 -16 196 -2352 29920 -412288 6126592 -96801792 1602339600 -27454700544", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 1 16 70 118 96 144 3968 13064 18292 13008 9108 384352 1051584 1238000 762144 334512 20030464 47545600 48121088 25534976 7957888 640318976 1346663424 1191714816 546017280 129690624 13412447232 25299763200 19808776192 7882752000 1494462464 190799466496 325567234048 227550035968 79250423808 12387532800 1877723480064 2918001410048 1833709076480 563327008768 74335780864 12850565480448 18291291586560 10397339877376 2838151299072 321845723136 60646329679872 79470283194368 41080682708992 10030761902080 991013371904 192324546068480 233163624284160 110170390659072 24213146566656 2107084111872 388342050979840 437965868236800 190187325882368 37855841746944 2928093954048 446692704911360 471936375193600 189595962572800 34402688040960 2383706849280 219902325555200 219902325555200 82463372083200 13743895347200 858993459200", "new_number": "14.10", "id": 378, "operator_tex": "\\theta^4+2 x\\left(72\\theta^4+48\\theta^3+59\\theta^2+35\\theta+8\\right)+2^{2} x^{2}\\left(2277\\theta^4+3252\\theta^3+4573\\theta^2+3266\\theta+992\\right)+2^{4} x^{3}\\left(20907\\theta^4+47634\\theta^3+77375\\theta^2+65724\\theta+24022\\right)+2^{7} x^{4}\\left(62171\\theta^4+199492\\theta^3+375946\\theta^2+371450\\theta+156488\\right)+2^{9} x^{5}\\left(253302\\theta^4+1066440\\theta^3+2327568\\theta^2+2630202\\theta+1250623\\right)+2^{10} x^{6}\\left(1459436\\theta^4+7698000\\theta^3+19344508\\theta^2+24706800\\theta+13098093\\right)+2^{12} x^{7}\\left(3024300\\theta^4+19348248\\theta^3+55554208\\theta^2+79484188\\theta+46581901\\right)+2^{15} x^{8}\\left(2268548\\theta^4+17191376\\theta^3+55960360\\theta^2+89050336\\theta+57303573\\right)+2^{18} x^{9}\\left(1227744\\theta^4+10826688\\theta^3+39662704\\theta^2+69775740\\theta+49021017\\right)+2^{20} x^{10}\\left(945104\\theta^4+9566080\\theta^3+39177592\\theta^2+75788768\\theta+57836847\\right)+2^{22} x^{11}\\left(502368\\theta^4+5772864\\theta^3+26266668\\theta^2+55590540\\theta+45853745\\right)+2^{25} x^{12}\\left(87264\\theta^4+1128192\\theta^3+5668024\\theta^2+13052400\\theta+11573495\\right)+2^{30} 5 x^{13}\\left(444\\theta^4+6408\\theta^3+35315\\theta^2+87905\\theta+83203\\right)+2^{35} 5^{2} x^{14}\\left((\\theta+4)^4\\right)", "superseek": "2 38", "discriminant": "14 1 144 9108 334512 7957888 129690624 1494462464 12387532800 74335780864 321845723136 991013371904 2107084111872 2928093954048 2383706849280 858993459200", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "364dddcd3359111a8e01be8efc1de60c", "dim_h": null, "inst": " 2 -29/4 38 -2077/8 2034 -69631/4 158858 -12172903/8 15129336 -619853933/4", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(4z+1)(2z+1)^2(64z^2+24z+1)^2(160z^2+32z+1)^2(8z+1)^3", "discr_factors": "858993459200, z+1/4, (z+1/8)^3, (z^2+3/8*z+1/64)^2, (z^2+1/5*z+1/160)^2, (z+1/2)^2", "dm_basis": null, "q": "0 1 6 22 96 190 1472 -3540 55296 -451314", "yuk": "1 2 -56 1028 -16672 254252 -3759104 54488296 -779082464 11029286972", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16-1/16*5^(1/2)","im":"0","approx_re":"-0.327254","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10-1/40*6^(1/2)","im":"0","approx_re":"-0.161237","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16+1/16*5^(1/2)","im":"0","approx_re":"-0.047746","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10+1/40*6^(1/2)","im":"0","approx_re":"-0.038763","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["4","4","4","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -1900-7100*X-9660*X^2-5120*X^3-2080*X^4, -125840-201600*X-45056*X^2+74752*X^3-6656*X^4, 49698816*X^2+72683520*X+44938240+18235392*X^3+3325952*X^4, -433127424*X^2-451641344*X-67022848-149159936*X^3-4194304*X^4, -98594717696-134513164288*X-74158702592*X^2-20107493376*X^3-2296381440*X^4, 13281263616+113095213056*X+53754200064*X^2-5637144576*X^3-5586812928*X^4, 84533546319872+98266704248832*X+44305003577344*X^2+9259949490176*X^3+764504178688*X^4, 735959289167872+794367086297088*X+336923004502016*X^2+67345087201280*X^3+5484673236992*X^4, -21444720169320448-21696886289203200*X-8333353245736960*X^2-1453004616105984*X^3-98268851732480*X^4, -337542922901651456*X-361251211095048192-118751653846319104*X^2-18792852741947392*X^3-1143492092887040*X^4, -804829317392498688-493865438824890368*X-72031205758861312*X^2+6122080743456768*X^3+1477743627730944*X^4, 11381950856690663424+4544976448946962432*X^2+11818149109661958144*X+766737836559826944*X^3+47850746040811520*X^4, 24971334033862557696*X+29443408463841460224+7427561685440790528*X^2+864691128455135232*X^3+27021597764222976*X^4, -648518346341351424*(X+4)^4]", "text": "This is operator \"14.11\" from ...", "degz": 14, "h3": null, "sol": "1 76 5228 322224 18933228 1074083408 59496942064 3236713807552 173643765495532 9212312299901584", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 25 -1900 -7100 -9660 -5120 -2080 -125840 -201600 -45056 74752 -6656 44938240 72683520 49698816 18235392 3325952 -67022848 -451641344 -433127424 -149159936 -4194304 -98594717696 -134513164288 -74158702592 -20107493376 -2296381440 13281263616 113095213056 53754200064 -5637144576 -5586812928 84533546319872 98266704248832 44305003577344 9259949490176 764504178688 735959289167872 794367086297088 336923004502016 67345087201280 5484673236992 -21444720169320448 -21696886289203200 -8333353245736960 -1453004616105984 -98268851732480 -361251211095048192 -337542922901651456 -118751653846319104 -18792852741947392 -1143492092887040 -804829317392498688 -493865438824890368 -72031205758861312 6122080743456768 1477743627730944 11381950856690663424 11818149109661958144 4544976448946962432 766737836559826944 47850746040811520 29443408463841460224 24971334033862557696 7427561685440790528 864691128455135232 27021597764222976 -166020696663385964544 -166020696663385964544 -62257761248769736704 -10376293541461622784 -648518346341351424", "new_number": "14.11", "id": 379, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(104\\theta^4+256\\theta^3+483\\theta^2+355\\theta+95\\right)-2^{4} x^{2}\\left(416\\theta^4-4672\\theta^3+2816\\theta^2+12600\\theta+7865\\right)+2^{10} x^{3}\\left(3248\\theta^4+17808\\theta^3+48534\\theta^2+70980\\theta+43885\\right)-2^{12} x^{4}\\left(1024\\theta^4+36416\\theta^3+105744\\theta^2+110264\\theta+16363\\right)-2^{18} x^{5}\\left(8760\\theta^4+76704\\theta^3+282893\\theta^2+513127\\theta+376109\\right)-2^{21} 3 x^{6}\\left(888\\theta^4+896\\theta^3-8544\\theta^2-17976\\theta-2111\\right)+2^{28} x^{7}\\left(2848\\theta^4+34496\\theta^3+165049\\theta^2+366072\\theta+314912\\right)+2^{29} x^{8}\\left(10216\\theta^4+125440\\theta^3+627568\\theta^2+1479624\\theta+1370831\\right)-2^{34} x^{9}\\left(5720\\theta^4+84576\\theta^3+485065\\theta^2+1262925\\theta+1248247\\right)-2^{36} x^{10}\\left(16640\\theta^4+273472\\theta^3+1728064\\theta^2+4911896\\theta+5256897\\right)+2^{42} x^{11}\\left(336\\theta^4+1392\\theta^3-16378\\theta^2-112292\\theta-182997\\right)+2^{44} x^{12}\\left(2720\\theta^4+43584\\theta^3+258352\\theta^2+671784\\theta+646989\\right)+2^{50} 3 x^{13}\\left(8\\theta^4+256\\theta^3+2199\\theta^2+7393\\theta+8717\\right)-2^{56} 3^{2} x^{14}\\left((\\theta+4)^4\\right)", "superseek": "52/5 13436/5", "discriminant": "14 25 -2080 -6656 3325952 -4194304 -2296381440 -5586812928 764504178688 5484673236992 -98268851732480 -1143492092887040 1477743627730944 47850746040811520 27021597764222976 -648518346341351424", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c3784675984d5e6eac952e2484ce5404", "dim_h": null, "inst": " 52/5 115 13436/5 89632 18465296/5 871619621/5 45240257244/5 503650715312 147905271435016/5 9063969995240684/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+16z)(48z-1)^2(256z^2-32z-5)^2(256z^2+16z-1)^2(16z+1)^3", "discr_factors": "-648518346341351424, (z-1/48)^2, (z^2-1/8*z-5/256)^2, -1/16+z, (z^2+1/16*z-1/256)^2, (z+1/16)^3", "dm_basis": null, "q": "0 1 20 806 43984 2711553 179317176 12428599730 891010619712 65523676847124", "yuk": "1 52/5 4652/5 362824/5 28686892/5 2308162052/5 37654041112 15517408234744/5 1289345859885612/5 107822942876489488/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16-1/16*6^(1/2)","im":"0","approx_re":"-0.090593","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16+1/16*6^(1/2)","im":"0","approx_re":"0.215593","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["4","4","4","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 45*X*(6*X^3-36*X^2-23*X-5), -43856*X^4-189068*X^3-226691*X^2-135510*X-33600, -2018124*X^4-8252064*X^3-12629223*X^2-9440955*X-2825280, -44621090*X^4-199900036*X^3-357072757*X^2-304636250*X-101358144, -2106679104-626343696*X^4-5880331251*X-6264684027*X^2-3123690552*X^3, -6129756792*X^4-33896196180*X^3-74692121733*X^2-75603980898*X-28663306560, -43639108452*X^4-265547915136*X^3-634080609729*X^2-683420563413*X-271245635712, -230254819911*X^4-1530136525212*X^3-3921086342187*X^2-4461216958062*X-1840113650880, -903194487630*X^4-6510042733140*X^3-17774917904034*X^2-21213011004588*X-9045241239168, -2605547351304*X^4-20247346799424*X^3-58572260919000*X^2-72964078471008*X-32033917853568, -7776*(X+1)*(691573543*X^3+5071601663*X^2+12510902832*X+10260936720), -93312*(X+1)*(X+2)*(80620421*X^2+475174733*X+711172676), -59719680*(X+3)*(X+2)*(X+1)*(107069*X+369433), -2493893836800*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"14.2\" from ...", "degz": 14, "h3": null, "sol": "1 0 84 1944 70476 2671920 109185240 4674665520 207513100620 9473259005280", "n_discr_factors": "6", "c3": null, "operator": "4 14 0 0 0 0 25 0 -225 -1035 -1620 270 -33600 -135510 -226691 -189068 -43856 -2825280 -9440955 -12629223 -8252064 -2018124 -101358144 -304636250 -357072757 -199900036 -44621090 -2106679104 -5880331251 -6264684027 -3123690552 -626343696 -28663306560 -75603980898 -74692121733 -33896196180 -6129756792 -271245635712 -683420563413 -634080609729 -265547915136 -43639108452 -1840113650880 -4461216958062 -3921086342187 -1530136525212 -230254819911 -9045241239168 -21213011004588 -17774917904034 -6510042733140 -903194487630 -32033917853568 -72964078471008 -58572260919000 -20247346799424 -2605547351304 -79789043934720 -177073824356352 -136721554953120 -44814450401856 -5377675870368 -132721889485824 -287761843600128 -214425164248704 -66908062858752 -7522852724352 -132374523248640 -281051384463360 -202709913845760 -60427179048960 -6394126417920 -59853452083200 -124694691840000 -87286284288000 -24938938368000 -2493893836800", "new_number": "14.2", "id": 381, "operator_tex": "5^{2} \\theta^4+3^{2} 5 x\\theta(6\\theta^3-36\\theta^2-23\\theta-5)-x^{2}\\left(43856\\theta^4+189068\\theta^3+226691\\theta^2+135510\\theta+33600\\right)-3^{2} x^{3}\\left(224236\\theta^4+916896\\theta^3+1403247\\theta^2+1048995\\theta+313920\\right)-x^{4}\\left(44621090\\theta^4+199900036\\theta^3+357072757\\theta^2+304636250\\theta+101358144\\right)-3^{2} x^{5}\\left(69593744\\theta^4+347076728\\theta^3+696076003\\theta^2+653370139\\theta+234075456\\right)-3^{2} x^{6}\\left(681084088\\theta^4+3766244020\\theta^3+8299124637\\theta^2+8400442322\\theta+3184811840\\right)-3^{3} x^{7}\\left(1616263276\\theta^4+9835107968\\theta^3+23484467027\\theta^2+25311872719\\theta+10046134656\\right)-3^{3} x^{8}\\left(8527956293\\theta^4+56671723156\\theta^3+145225420081\\theta^2+165230257706\\theta+68152357440\\right)-2 3^{4} x^{9}\\left(5575274615\\theta^4+40185448970\\theta^3+109721715457\\theta^2+130944512374\\theta+55834822464\\right)-2^{3} 3^{3} x^{10}\\left(12062719219\\theta^4+93737716664\\theta^3+271167874625\\theta^2+337796659588\\theta+148305175248\\right)-2^{5} 3^{5} x^{11}(\\theta+1)(691573543\\theta^3+5071601663\\theta^2+12510902832\\theta+10260936720)-2^{7} 3^{6} x^{12}(\\theta+1)(\\theta+2)(80620421\\theta^2+475174733\\theta+711172676)-2^{14} 3^{6} 5 x^{13}(\\theta+3)(\\theta+2)(\\theta+1)(107069\\theta+369433)-2^{19} 3^{8} 5^{2} 29 x^{14}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "27/5 1619/5", "discriminant": "14 25 270 -43856 -2018124 -44621090 -626343696 -6129756792 -43639108452 -230254819911 -903194487630 -2605547351304 -5377675870368 -7522852724352 -6394126417920 -2493893836800", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c0f6d85270164c8c5a63d1bb2deaba83", "dim_h": null, "inst": " 27/5 158/5 1619/5 51193/10 485082/5 42119247/20 50098932 1275546325 171045203277/5 4779763236621/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "10", "laurent": null, "discriminant_tex": "-(9z+1)(6z+1)(348z^2+51z-1)(5z+1)^2(4z+1)^2(576z^3+357z^2+72z+5)^2", "discr_factors": "-2493893836800, (z+1/5)^2, z^2+17/116*z-1/348, z+1/9, (z^3+119/192*z^2+1/8*z+5/576)^2, z+1/6, (z+1/4)^2", "dm_basis": null, "q": "0 1 -9 -108 81 -1571 -238428 -6407811 -165659121 -4873676145", "yuk": "1 27/5 1291/5 8748 1639467/5 60635277/5 2274484342/5 85919668407/5 3265400231467/5 124691953232673/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/576*(47015+576*6547^(1/2))^(1/3)-337/576/(47015+576*6547^(1/2))^(1/3)-119/576","im":"0","approx_re":"-0.298314","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/5","im":"0","approx_re":"-0.2","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/232-11/696*33^(1/2)","im":"0","approx_re":"-0.164066","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1152*(47015+576*6547^(1/2))^(1/3)+337/1152/(47015+576*6547^(1/2))^(1/3)-119/576","im":"1/2*3^(1/2)*(-1/576*(47015+576*6547^(1/2))^(1/3)+337/576/(47015+576*6547^(1/2))^(1/3))","approx_re":"-0.160739","approx_im":"-0.057112","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1152*(47015+576*6547^(1/2))^(1/3)+337/1152/(47015+576*6547^(1/2))^(1/3)-119/576","im":"-1/2*3^(1/2)*(-1/576*(47015+576*6547^(1/2))^(1/3)+337/576/(47015+576*6547^(1/2))^(1/3))","approx_re":"-0.160739","approx_im":"0.057112","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/232+11/696*33^(1/2)","im":"0","approx_re":"0.017515","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -492*X+96*X^4-1536*X^3-1260*X^2-84, -6864+56576*X^2+10880*X-43520*X^4+1024*X^3, 1076224+4079616*X^3+344064*X^4-845824*X^2+479232*X, 187596800*X+65409024-29622272*X^3+68157440*X^4+179568640*X^2, -1499463680*X^4-5837160448*X-2370568192-5052301312*X^2-1820327936*X^3, -168944467968-283316846592*X-21424504832*X^4-216056987648*X^2-79725330432*X^3, 764504178688*X^4+7408818585600*X+2972117368832*X^3+6578010849280*X^2+3423088934912, 166010686537728+215731912310784*X+106223131164672*X^2+21440476741632*X^3+1430224109568*X^4, -3150667749261312-1090165778939904*X^3-3494471291371520*X^2-5339245644349440*X-150495654051840*X^4, -16007789788790784*X^2+70368744177664*X^4-55062786404777984-51548953400836096*X-1376588557975552*X^3, 644955928667357184*X^2+14284855068065792*X^4+1293008082078531584*X+1004008047787376640+150237268819312640*X^3, 199284283511144448*X^3+7178051710772838400+7318349394477056*X^4+5993305941611642880*X+1738389456165011456*X^2, -93691760747908956160-100458419188033126400*X-41630149055506022400*X^2-7926335344172072960*X^3-585467951558164480*X^4, -1801439850948198400*(X+4)^4]", "text": "This is operator \"14.9\" from ...", "degz": 14, "h3": null, "sol": "1 28/3 260 116240/27 7153796/81 138739856/81 25475908912/729 1578618954688/2187 33436113212396/2187 6493209532219376/19683", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 9 -84 -492 -1260 -1536 96 -6864 10880 56576 1024 -43520 1076224 479232 -845824 4079616 344064 65409024 187596800 179568640 -29622272 68157440 -2370568192 -5837160448 -5052301312 -1820327936 -1499463680 -168944467968 -283316846592 -216056987648 -79725330432 -21424504832 3423088934912 7408818585600 6578010849280 2972117368832 764504178688 166010686537728 215731912310784 106223131164672 21440476741632 1430224109568 -3150667749261312 -5339245644349440 -3494471291371520 -1090165778939904 -150495654051840 -55062786404777984 -51548953400836096 -16007789788790784 -1376588557975552 70368744177664 1004008047787376640 1293008082078531584 644955928667357184 150237268819312640 14284855068065792 7178051710772838400 5993305941611642880 1738389456165011456 199284283511144448 7318349394477056 -93691760747908956160 -100458419188033126400 -41630149055506022400 -7926335344172072960 -585467951558164480 -461168601842738790400 -461168601842738790400 -172938225691027046400 -28823037615171174400 -1801439850948198400", "new_number": "14.9", "id": 388, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(8\\theta^4-128\\theta^3-105\\theta^2-41\\theta-7\\right)-2^{4} x^{2}\\left(2720\\theta^4-64\\theta^3-3536\\theta^2-680\\theta+429\\right)+2^{10} x^{3}\\left(336\\theta^4+3984\\theta^3-826\\theta^2+468\\theta+1051\\right)+2^{12} x^{4}\\left(16640\\theta^4-7232\\theta^3+43840\\theta^2+45800\\theta+15969\\right)-2^{18} x^{5}\\left(5720\\theta^4+6944\\theta^3+19273\\theta^2+22267\\theta+9043\\right)-2^{21} x^{6}\\left(10216\\theta^4+38016\\theta^3+103024\\theta^2+135096\\theta+80559\\right)+2^{28} x^{7}\\left(2848\\theta^4+11072\\theta^3+24505\\theta^2+27600\\theta+12752\\right)+2^{29} 3 x^{8}\\left(888\\theta^4+13312\\theta^3+65952\\theta^2+133944\\theta+103073\\right)-2^{34} x^{9}\\left(8760\\theta^4+63456\\theta^3+203405\\theta^2+310785\\theta+183393\\right)+2^{36} x^{10}\\left(1024\\theta^4-20032\\theta^3-232944\\theta^2-750136\\theta-801269\\right)+2^{42} x^{11}\\left(3248\\theta^4+34160\\theta^3+146646\\theta^2+293996\\theta+228285\\right)+2^{44} x^{12}\\left(416\\theta^4+11328\\theta^3+98816\\theta^2+340680\\theta+408025\\right)-2^{50} 5 x^{13}\\left(104\\theta^4+1408\\theta^3+7395\\theta^2+17845\\theta+16643\\right)-2^{56} 5^{2} x^{14}\\left((\\theta+4)^4\\right)", "superseek": "44/3 220588/81", "discriminant": "14 9 96 -43520 344064 68157440 -1499463680 -21424504832 764504178688 1430224109568 -150495654051840 70368744177664 14284855068065792 7318349394477056 -585467951558164480 -1801439850948198400", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "32527b63e2e6c7ca027dfb5cb9afac16", "dim_h": null, "inst": " 44/3 -1421/9 220588/81 -14752264/243 1138508000/729 -10709297389/243 26132550216580/19683 -2479083315913288/59049 37209718959808/27 -222890635279564684376/4782969", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1+16z)(16z+3)^2(1280z^2-32z-1)^2(256z^2+16z-1)^2(16z-1)^3", "discr_factors": "-1801439850948198400, (z^2-1/40*z-1/1280)^2, (z^2+1/16*z-1/256)^2, (z-1/16)^3, (z+3/16)^2, 1/16+z", "dm_basis": null, "q": "0 1 -52/3 1034/3 -685232/81 58632847/243 -7584520 1665120615890/6561 -174404409876800/19683 956870278022/3", "yuk": "1 44/3 -11236/9 73544 -944448268/243 142313510692/729 -9519303176 8963464724575624/19683 -1269290887248532580/59049 1004662411988360", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16","im":"0","approx_re":"-0.1875","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80-1/80*6^(1/2)","im":"0","approx_re":"-0.018119","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80+1/80*6^(1/2)","im":"0","approx_re":"0.043119","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["4","4","4","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 12+54*X+94*X^2+80*X^3+146*X^4, 2456+9092*X+14064*X^2+10896*X^3+9396*X^4, 210848+676592*X+920344*X^2+642432*X^3+352728*X^4, 9914944+28603392*X+34693728*X^2+21707072*X^3+8626912*X^4, 286847488+760763904*X+836176384*X^2+469761024*X^3+145606400*X^4, 5430845440+13443704832*X+13582102528*X^2+6899736576*X^3+1753843712*X^4, 69713803264+163008135168*X+153273556992*X^2+71104528384*X^3+15376457728*X^4, 619062042624+1381508808704*X+1222573686784*X^2+523627331584*X^3+99110846464*X^4, 3835533262848+8246965305344*X+6940439085056*X^2+2775432822784*X^3+470517284864*X^4, 16544582598656+34586228686848*X+27958274162688*X^2+10557532930048*X^3+1634704818176*X^4, 49013967552512+100486178930688*X+78794027171840*X^2+28418456420352*X^3+4089110855680*X^4, 96980135051264+196496062414848*X+150874785579008*X^2+52568789090304*X^3+7142262177792*X^4, 121818627178496+245231895183360*X+185897458860032*X^2+63264868270080*X^3+8239894757376*X^4, 87756919275520+175803748843520*X+132317204971520*X^2+44409961840640*X^3+5626407157760*X^4, 1717986918400*(X+2)^4]", "text": "This is operator \"15.2\" from ...", "degz": 15, "h3": null, "sol": "1 -12 136 -1632 21296 -302016 4597120 -73944576 1239638800 -21432549312", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 1 12 54 94 80 146 2456 9092 14064 10896 9396 210848 676592 920344 642432 352728 9914944 28603392 34693728 21707072 8626912 286847488 760763904 836176384 469761024 145606400 5430845440 13443704832 13582102528 6899736576 1753843712 69713803264 163008135168 153273556992 71104528384 15376457728 619062042624 1381508808704 1222573686784 523627331584 99110846464 3835533262848 8246965305344 6940439085056 2775432822784 470517284864 16544582598656 34586228686848 27958274162688 10557532930048 1634704818176 49013967552512 100486178930688 78794027171840 28418456420352 4089110855680 96980135051264 196496062414848 150874785579008 52568789090304 7142262177792 121818627178496 245231895183360 185897458860032 63264868270080 8239894757376 87756919275520 175803748843520 132317204971520 44409961840640 5626407157760 27487790694400 54975581388800 41231686041600 13743895347200 1717986918400", "new_number": "15.2", "id": 390, "operator_tex": "\\theta^4+2 x\\left(73\\theta^4+40\\theta^3+47\\theta^2+27\\theta+6\\right)+2^{2} x^{2}\\left(2349\\theta^4+2724\\theta^3+3516\\theta^2+2273\\theta+614\\right)+2^{3} x^{3}\\left(44091\\theta^4+80304\\theta^3+115043\\theta^2+84574\\theta+26356\\right)+2^{5} x^{4}\\left(269591\\theta^4+678346\\theta^3+1084179\\theta^2+893856\\theta+309842\\right)+2^{8} x^{5}\\left(568775\\theta^4+1835004\\theta^3+3266314\\theta^2+2971734\\theta+1120498\\right)+2^{11} x^{6}\\left(856369\\theta^4+3369012\\theta^3+6631886\\theta^2+6564309\\theta+2651780\\right)+2^{11} x^{7}\\left(7508036\\theta^4+34719008\\theta^3+74840604\\theta^2+79593816\\theta+34039943\\right)+2^{13} x^{8}\\left(12098492\\theta^4+63919352\\theta^3+149239952\\theta^2+168641212\\theta+75569097\\right)+2^{16} x^{9}\\left(7179524\\theta^4+42349744\\theta^3+105902696\\theta^2+125838704\\theta+58525593\\right)+2^{19} x^{10}\\left(3117952\\theta^4+20136896\\theta^3+53326176\\theta^2+65967996\\theta+31556287\\right)+2^{21} x^{11}\\left(1949840\\theta^4+13550976\\theta^3+37571920\\theta^2+47915544\\theta+23371681\\right)+2^{23} x^{12}\\left(851424\\theta^4+6266688\\theta^3+17985676\\theta^2+23424156\\theta+11560933\\right)+2^{26} x^{13}\\left(122784\\theta^4+942720\\theta^3+2770088\\theta^2+3654240\\theta+1815239\\right)+2^{31} 5 x^{14}\\left(524\\theta^4+4136\\theta^3+12323\\theta^2+16373\\theta+8173\\right)+2^{36} 5^{2} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "2 38", "discriminant": "15 1 146 9396 352728 8626912 145606400 1753843712 15376457728 99110846464 470517284864 1634704818176 4089110855680 7142262177792 8239894757376 5626407157760 1717986918400", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "76d5c5e186c39f14d8f32dfa0f13e22a", "dim_h": null, "inst": " 2 -29/4 38 -2077/8 2034 -69631/4 158858 -12172903/8 15129336 -619853933/4", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(4z+1)(64z^2+24z+1)^2(160z^2+32z+1)^2(2z+1)^3(8z+1)^3", "discr_factors": "1717986918400, z+1/4, (z+1/8)^3, (z+1/2)^3, (z^2+3/8*z+1/64)^2, (z^2+1/5*z+1/160)^2", "dm_basis": null, "q": "0 1 6 22 96 190 1472 -3540 55296 -451314", "yuk": "1 2 -56 1028 -16672 254252 -3759104 54488296 -779082464 11029286972", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16-1/16*5^(1/2)","im":"0","approx_re":"-0.327254","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10-1/40*6^(1/2)","im":"0","approx_re":"-0.161237","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16+1/16*5^(1/2)","im":"0","approx_re":"-0.047746","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10+1/40*6^(1/2)","im":"0","approx_re":"-0.038763","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, 432*X^4-540-2628*X-5760*X^3-5508*X^2, 295872*X+306240*X^2+112464-33792*X^3-129024*X^4, -1102080+17825792*X^3+6772736*X^2+1005568*X+335872*X^4, -65896448*X+209977344*X^4-7311360-67010560*X^2-67633152*X^3, -8728018944-20230963200*X-14659092480*X^3-3407872000*X^4-20752105472*X^2, -66441969664*X^2+32568770560*X-88264933376*X^4-76369887232*X^3+50988056576, 11803408990208+10383083438080*X^3+25540291461120*X+22371679338496*X^2+1950720458752*X^4, 14018773254144*X^3+16522739187712*X^4-88707717660672-43752831844352*X^2-124506806943744*X, -11378553778077696*X-8578509978992640*X^2-428603376402432*X^4-5853482078699520-3110518394978304*X^3, 20472631631282176*X^2+44573995231608832-2308974418329600*X^3+58566861243023360*X-2196824232296448*X^4, 1383827742532829184*X^2+1060244769013235712+1993713648320643072*X+419679190275588096*X^3+43980465111040000*X^4, -3489322140979691520+790803947068588032*X^2+250512729272483840*X^4+1173187702930014208*X^3-2883851873889026048*X, -86645879130887815168*X^2-137928368087755653120*X-76746685674950754304-21527206218830970880*X^3-1639310264362860544*X^4, -454233058416588226560*X^2-640682082989726760960*X-14771806777775226880*X^4-138350580552821637120*X^3-332635868477584834560, -28823037615171174400*(X+2)^4]", "text": "This is operator \"15.3\" from ...", "degz": 15, "h3": null, "sol": "1 20 388 7344 141636 2777360 55728816 1143301440 23982011716 513499103440", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 27 -540 -2628 -5508 -5760 432 112464 295872 306240 -33792 -129024 -1102080 1005568 6772736 17825792 335872 -7311360 -65896448 -67010560 -67633152 209977344 -8728018944 -20230963200 -20752105472 -14659092480 -3407872000 50988056576 32568770560 -66441969664 -76369887232 -88264933376 11803408990208 25540291461120 22371679338496 10383083438080 1950720458752 -88707717660672 -124506806943744 -43752831844352 14018773254144 16522739187712 -5853482078699520 -11378553778077696 -8578509978992640 -3110518394978304 -428603376402432 44573995231608832 58566861243023360 20472631631282176 -2308974418329600 -2196824232296448 1060244769013235712 1993713648320643072 1383827742532829184 419679190275588096 43980465111040000 -3489322140979691520 -2883851873889026048 790803947068588032 1173187702930014208 250512729272483840 -76746685674950754304 -137928368087755653120 -86645879130887815168 -21527206218830970880 -1639310264362860544 -332635868477584834560 -640682082989726760960 -454233058416588226560 -138350580552821637120 -14771806777775226880 -461168601842738790400 -922337203685477580800 -691752902764108185600 -230584300921369395200 -28823037615171174400", "new_number": "15.3", "id": 391, "operator_tex": "3^{3} \\theta^4+2^{2} 3^{2} x\\left(12\\theta^4-160\\theta^3-153\\theta^2-73\\theta-15\\right)-2^{4} 3 x^{2}\\left(2688\\theta^4+704\\theta^3-6380\\theta^2-6164\\theta-2343\\right)+2^{8} x^{3}\\left(1312\\theta^4+69632\\theta^3+26456\\theta^2+3928\\theta-4305\\right)+2^{12} x^{4}\\left(51264\\theta^4-16512\\theta^3-16360\\theta^2-16088\\theta-1785\\right)-2^{16} x^{5}\\left(52000\\theta^4+223680\\theta^3+316652\\theta^2+308700\\theta+133179\\right)-2^{21} x^{6}\\left(42088\\theta^4+36416\\theta^3+31682\\theta^2-15530\\theta-24313\\right)+2^{25} x^{7}\\left(58136\\theta^4+309440\\theta^3+666728\\theta^2+761160\\theta+351769\\right)+2^{29} x^{8}\\left(30776\\theta^4+26112\\theta^3-81496\\theta^2-231912\\theta-165231\\right)-2^{33} 3 x^{9}\\left(16632\\theta^4+120704\\theta^3+332890\\theta^2+441546\\theta+227145\\right)-2^{36} x^{10}\\left(31968\\theta^4+33600\\theta^3-297916\\theta^2-852260\\theta-648637\\right)+2^{40} x^{11}\\left(40000\\theta^4+381696\\theta^3+1258584\\theta^2+1813272\\theta+964287\\right)+2^{44} x^{12}\\left(14240\\theta^4+66688\\theta^3+44952\\theta^2-163928\\theta-198345\\right)-2^{48} x^{13}\\left(5824\\theta^4+76480\\theta^3+307828\\theta^2+490020\\theta+272659\\right)-2^{54} 5 x^{14}\\left(164\\theta^4+1536\\theta^3+5043\\theta^2+7113\\theta+3693\\right)-2^{60} 5^{2} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "44/3 220588/81", "discriminant": "15 27 432 -129024 335872 209977344 -3407872000 -88264933376 1950720458752 16522739187712 -428603376402432 -2196824232296448 43980465111040000 250512729272483840 -1639310264362860544 -14771806777775226880 -28823037615171174400", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ae51313cd958206bb1b7a3c8ae23e509", "dim_h": null, "inst": " 44/3 -1421/9 220588/81 -14752264/243 1138508000/729 -10709297389/243 26132550216580/19683 -2479083315913288/59049 37209718959808/27 -222890635279564684376/4782969", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1+16z)(1280z^2-32z-1)^2(256z^2+16z-1)^2(16z+3)^3(16z-1)^3", "discr_factors": "-28823037615171174400, (z^2-1/40*z-1/1280)^2, (z+3/16)^3, (z^2+1/16*z-1/256)^2, 1/16+z, (z-1/16)^3", "dm_basis": null, "q": "0 1 -52/3 1034/3 -685232/81 58632847/243 -7584520 1665120615890/6561 -174404409876800/19683 956870278022/3", "yuk": "1 44/3 -11236/9 73544 -944448268/243 142313510692/729 -9519303176 8963464724575624/19683 -1269290887248532580/59049 1004662411988360", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16","im":"0","approx_re":"-0.1875","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80-1/80*6^(1/2)","im":"0","approx_re":"-0.018119","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80+1/80*6^(1/2)","im":"0","approx_re":"0.043119","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -300-1100*X-1660*X^2-1120*X^3-10480*X^4, 680960*X+1964544*X^4+632832*X^3+969344*X^2+158320, -37018880-144348160*X-209849344*X^2-139444224*X^3-217964544*X^4, 15973089280*X^4+17656250368*X+5061877760+16775118848*X^3+25085739008*X^2, -450117763072-1433513492480*X-1922996109312*X^2-1260052807680*X^3-817352409088*X^4, 101136447045632*X^2+63277149192192*X^3+81033617735680*X+30113106231296*X^4+27403069947904, -1172226564947968-3250626939060224*X-3763978341711872*X^2-2205773333528576*X^3-811916054233088*X^4, 54428574353981440*X^3+16123384538595328*X^4+93195756621529088*X+100329190494044160*X^2+35629414452559872, -769799426687369216-1907350033615814656*X-1916083179597332480*X^2-957108379304591360*X^3-235396918291726336*X^4, 2501498904353177600*X^4+11941558294763536384*X^3+27594548875410538496*X+25978776955975106560*X^2+11710476134977110016, -122831035499414552576-276522424495432007680*X-245184900544560365568*X^2-104031884754863259648*X^3-18970780111600615424*X^4, 1852920498288670539776*X+856593656325123080192+613444312443390001152*X^3+99284105585196269568*X^4+1556901146581421522944*X^2, -3736042135678487625728-7821275372064774029312*X-6275928210327371513856*X^2-2315642842002852151296*X^3-338526576790185443328*X^4, 14379237005456595484672*X^2+673306158690398633984*X^4+18603541398336082804736*X+5017514388048998039552*X^3+9112691572412518498304, -590295810358705651712*(X+2)^4]", "text": "This is operator \"15.4\" from ...", "degz": 15, "h3": null, "sol": "1 12 44 -3792 -207124 -8325552 -309616912 -11277235008 -410187134228 -15004164993648", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 25 -300 -1100 -1660 -1120 -10480 158320 680960 969344 632832 1964544 -37018880 -144348160 -209849344 -139444224 -217964544 5061877760 17656250368 25085739008 16775118848 15973089280 -450117763072 -1433513492480 -1922996109312 -1260052807680 -817352409088 27403069947904 81033617735680 101136447045632 63277149192192 30113106231296 -1172226564947968 -3250626939060224 -3763978341711872 -2205773333528576 -811916054233088 35629414452559872 93195756621529088 100329190494044160 54428574353981440 16123384538595328 -769799426687369216 -1907350033615814656 -1916083179597332480 -957108379304591360 -235396918291726336 11710476134977110016 27594548875410538496 25978776955975106560 11941558294763536384 2501498904353177600 -122831035499414552576 -276522424495432007680 -245184900544560365568 -104031884754863259648 -18970780111600615424 856593656325123080192 1852920498288670539776 1556901146581421522944 613444312443390001152 99284105585196269568 -3736042135678487625728 -7821275372064774029312 -6275928210327371513856 -2315642842002852151296 -338526576790185443328 9112691572412518498304 18603541398336082804736 14379237005456595484672 5017514388048998039552 673306158690398633984 -9444732965739290427392 -18889465931478580854784 -14167099448608935641088 -4722366482869645213696 -590295810358705651712", "new_number": "15.4", "id": 392, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(524\\theta^4+56\\theta^3+83\\theta^2+55\\theta+15\\right)+2^{4} x^{2}\\left(122784\\theta^4+39552\\theta^3+60584\\theta^2+42560\\theta+9895\\right)-2^{8} x^{3}\\left(851424\\theta^4+544704\\theta^3+819724\\theta^2+563860\\theta+144605\\right)+2^{13} x^{4}\\left(1949840\\theta^4+2047744\\theta^3+3062224\\theta^2+2155304\\theta+617905\\right)-2^{18} x^{5}\\left(3117952\\theta^4+4806720\\theta^3+7335648\\theta^2+5468420\\theta+1717063\\right)+2^{22} x^{6}\\left(7179524\\theta^4+15086448\\theta^3+24112808\\theta^2+19319920\\theta+6533401\\right)-2^{26} x^{7}\\left(12098492\\theta^4+32868584\\theta^3+56087648\\theta^2+48438116\\theta+17467537\\right)+2^{31} x^{8}\\left(7508036\\theta^4+25345280\\theta^3+46719420\\theta^2+43397656\\theta+16591239\\right)-2^{38} x^{9}\\left(856369\\theta^4+3481940\\theta^3+6970670\\theta^2+6938899\\theta+2800514\\right)+2^{42} x^{10}\\left(568775\\theta^4+2715196\\theta^3+5906890\\theta^2+6274274\\theta+2662654\\right)-2^{46} x^{11}\\left(269591\\theta^4+1478382\\theta^3+3484287\\theta^2+3929620\\theta+1745534\\right)+2^{51} x^{12}\\left(44091\\theta^4+272424\\theta^3+691403\\theta^2+822862\\theta+380404\\right)-2^{57} x^{13}\\left(2349\\theta^4+16068\\theta^3+43548\\theta^2+54271\\theta+25924\\right)+2^{63} x^{14}\\left(73\\theta^4+544\\theta^3+1559\\theta^2+2017\\theta+988\\right)-2^{69} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "52/5 13436/5", "discriminant": "15 25 -10480 1964544 -217964544 15973089280 -817352409088 30113106231296 -811916054233088 16123384538595328 -235396918291726336 2501498904353177600 -18970780111600615424 99284105585196269568 -338526576790185443328 673306158690398633984 -590295810358705651712", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2306e85a3af0a97d616dedf03cc93f69", "dim_h": null, "inst": " 52/5 115 13436/5 89632 18465296/5 871619621/5 45240257244/5 503650715312 147905271435016/5 9063969995240684/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+32z)(256z^2-48z+1)^2(512z^2-128z+5)^2(64z-1)^3(16z-1)^3", "discr_factors": "-590295810358705651712, (z-1/16)^3, (z^2-1/4*z+5/512)^2, -1/32+z, (z-1/64)^3, (z^2-3/16*z+1/256)^2", "dm_basis": null, "q": "0 1 4 422 23056 1452289 97060696 6773971762 487971107392 36012102833428", "yuk": "1 52/5 4652/5 362824/5 28686892/5 2308162052/5 37654041112 15517408234744/5 1289345859885612/5 107822942876489488/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8-1/32*6^(1/2)","im":"0","approx_re":"0.048453","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8+1/32*6^(1/2)","im":"0","approx_re":"0.201547","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -254*X^4-508*X^3-391*X^2-137*X-18, 4657*X^4+18628*X^3+27265*X^2+17274*X+3672, -35040*X^4-210240*X^3-441996*X^2-379908*X-98820, 132192*X^4+1057536*X^3+2882952*X^2+3071520*X+907200, -3888*(16*X^2+80*X+35)*(2*X+5)^2, 11664*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.10\" from ...", "degz": 6, "h3": null, "sol": "1 18 1242 138420 18954810 2912817348 482187783924 84090566318616 15241308549448410 2845719850252567860", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -137 -391 -508 -254 3672 17274 27265 18628 4657 -98820 -379908 -441996 -210240 -35040 907200 3071520 2882952 1057536 132192 -3402000 -10497600 -8320320 -2488320 -248832 4490640 12877056 8864640 2239488 186624", "new_number": "6.10", "id": 393, "operator_tex": "\\theta^4-x\\left(254\\theta^4+508\\theta^3+391\\theta^2+137\\theta+18\\right)+x^{2}\\left(4657\\theta^4+18628\\theta^3+27265\\theta^2+17274\\theta+3672\\right)-2^{2} 3 x^{3}\\left(2920\\theta^4+17520\\theta^3+36833\\theta^2+31659\\theta+8235\\right)+2^{3} 3^{4} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{4} 3^{5} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{4} 3^{6} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "23 16723", "discriminant": "6 1 -254 4657 -35040 132192 -248832 186624", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "23025d094839fb9d8e76076bd9a0bfa7", "dim_h": null, "inst": " 23 462 16723 923487 61874817 4758408877 401098941798 36204461778171 10327916473641656/3 341129215790017190", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(3z-1)(3888z^3-1944z^2+243z-1)(4z-1)^2", "discr_factors": "186624, (z-1/4)^2, z-1/3, z^3-1/2*z^2+1/16*z-1/3888", "dm_basis": null, "q": "0 1 -65 1866 -78319 1282394 -163657590 -5524246967 -926696603057 -84091401336996", "yuk": "1 23 3719 451544 59106887 7734352148 1027816772672 137576937036737 18536684489530439 2509683703095373952", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(-21+12*I*2^(1/2))^(1/3)-1/8/(-21+12*I*2^(1/2))^(1/3)+1/6+1/6*I*3^(1/2)*(1/12*(-21+12*I*2^(1/2))^(1/3)-3/4/(-21+12*I*2^(1/2))^(1/3))","im":"0","approx_re":"0.004259","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(-21+12*I*2^(1/2))^(1/3)-1/8/(-21+12*I*2^(1/2))^(1/3)+1/6-1/6*I*3^(1/2)*(1/12*(-21+12*I*2^(1/2))^(1/3)-3/4/(-21+12*I*2^(1/2))^(1/3))","im":"0","approx_re":"0.215449","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*(-21+12*I*2^(1/2))^(1/3)+1/4/(-21+12*I*2^(1/2))^(1/3)+1/6","im":"0","approx_re":"0.280292","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3","im":"0","approx_re":"0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 71680*X^4-96256*X^3-58112*X^2-9984*X-912, 925892608*X^4-3902799872*X^3+1442054144*X^2+353632256*X+48218112, -14186276978688*X^4-3208340570112*X^3-2304786825216*X^2-328564998144*X-23404216320, -19326115881418752*X^4-26480638043357184*X^3-2063233569521664*X^2+9856022231384064*X+3335591861157888, 98797716825440256*(X+1)*(808*X^3+2352*X^2+2099*X+582), -11836756857422346190848*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.11\" from ...", "degz": 6, "h3": null, "sol": "1 912 2320656 9507313920 49468269165840 293281201741715712 1885450216352222978304 12812100088579487192420352 90659351406340944375085800720 661670046055136396065345638263040", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -912 -9984 -58112 -96256 71680 48218112 353632256 1442054144 -3902799872 925892608 -23404216320 -328564998144 -2304786825216 -3208340570112 -14186276978688 3335591861157888 9856022231384064 -2063233569521664 -26480638043357184 -19326115881418752 57500271192406228992 264876678809005326336 439748637590034579456 312200785168391208960 79828555194955726848 -118367568574223461908480 -461633517439471501443072 -580001086013694963351552 -284082164578136308580352 -47347027429689384763392", "new_number": "6.11", "id": 394, "operator_tex": "\\theta^4+2^{4} x\\left(4480\\theta^4-6016\\theta^3-3632\\theta^2-624\\theta-57\\right)+2^{14} x^{2}\\left(56512\\theta^4-238208\\theta^3+88016\\theta^2+21584\\theta+2943\\right)-2^{24} 3^{2} x^{3}\\left(93952\\theta^4+21248\\theta^3+15264\\theta^2+2176\\theta+155\\right)-2^{34} 3^{3} x^{4}\\left(41664\\theta^4+57088\\theta^3+4448\\theta^2-21248\\theta-7191\\right)+2^{48} 3^{3} 13 x^{5}(\\theta+1)(808\\theta^3+2352\\theta^2+2099\\theta+582)-2^{58} 3^{5} 13^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "27296 369676901920", "discriminant": "6 1 71680 925892608 -14186276978688 -19326115881418752 79828555194955726848 -47347027429689384763392", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "480dfd541eda896f1434450e820ef263", "dim_h": null, "inst": " 27296 -70540912 369676901920 -2547102730999216 20534034788092596960 -182815405883920008470960 1743930451885855281116207520 -17500503861020877916010234756016 182567968058705118592675570875269888 -1963890814682216519353268524115529335760", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(3072z+1)(9216z-1)(39936z+1)^2(1024z-1)^2", "discr_factors": "-47347027429689384763392, z+1/3072, z-1/9216, (z-1/1024)^2, (z+1/39936)^2", "dm_basis": null, "q": "0 1 -6336 48369248 -433627011072 4274758209336880 -44893742934338795520 492854129725827792126464 -5590628680112432700499820544 65025162258884093156331475384984", "yuk": "1 27296 -564300000 9981276379136 -163014575348249824 2566754348511574647296 -39488127670916741117675520 598168144996848361422859206656 -8960257976842689656011815543330016 133092048714796031454060501149348127488", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3072","im":"0","approx_re":"-0.000325520833333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/39936","im":"0","approx_re":"-2.50400641026e-05","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9216","im":"0","approx_re":"0.000108506944444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1024","im":"0","approx_re":"0.0009765625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*(5*X^2+5*X+2)*(13*X^2+13*X+3), 17056*X^4+68224*X^3+100384*X^2+64320*X+13824, -500736*X^4-3004416*X^3-6319872*X^2-5439744*X-1416960, 7520256*X^4+60162048*X^3+164007936*X^2+174735360*X+51609600, -884736*(16*X^2+80*X+35)*(2*X+5)^2, 10616832*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.14\" from ...", "degz": 6, "h3": null, "sol": "1 24 1224 96000 9633960 1108344384 138551567616 18316669003776 2521698279071400 358052604022576320", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -24 -164 -424 -520 -260 13824 64320 100384 68224 17056 -1416960 -5439744 -6319872 -3004416 -500736 51609600 174735360 164007936 60162048 7520256 -774144000 -2388787200 -1893335040 -566231040 -56623104 4087480320 11720982528 8068792320 2038431744 169869312", "new_number": "6.14", "id": 397, "operator_tex": "\\theta^4-2^{2} x(5\\theta^2+5\\theta+2)(13\\theta^2+13\\theta+3)+2^{5} x^{2}\\left(533\\theta^4+2132\\theta^3+3137\\theta^2+2010\\theta+432\\right)-2^{8} 3 x^{3}\\left(652\\theta^4+3912\\theta^3+8229\\theta^2+7083\\theta+1845\\right)+2^{12} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{15} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{17} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "8 9928/3", "discriminant": "6 1 -260 17056 -500736 7520256 -56623104 169869312", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "44968de144621e2fa74ce3964a5435f7", "dim_h": null, "inst": " 8 471/2 9928/3 185385 6071232 2300082631/6 18155591704 2414821451639/2 208365112207712/3 4798279940094860", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(12z-1)(24z-1)(2304z^2-192z+1)(-1+16z)^2", "discr_factors": "169869312, (-1/16+z)^2, z-1/24, z^2-1/12*z+1/2304, z-1/12", "dm_basis": null, "q": "0 1 -68 3702 -227248 13651901 -867353208 53803343898 -3491324552128 219804608348118", "yuk": "1 8 1892 89360 11866532 758904008 82803065960 6227367954480 618194303486116 50632722266563376", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24-1/48*3^(1/2)","im":"0","approx_re":"0.005582","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24+1/48*3^(1/2)","im":"0","approx_re":"0.077751","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 48+224*X+352*X^2+256*X^3+896*X^4, 35840+178176*X+355328*X^2+278528*X^3+315392*X^4, 18087936+73924608*X+123994112*X^2+100663296*X^3+55574528*X^4, 4160749568+15166603264*X+21944598528*X^2+15569256448*X^3+5167382528*X^4, 34359738368*(7*X^2+17*X+13)*(X+1)^2, 4398046511104*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.15\" from ...", "degz": 6, "h3": null, "sol": "1 -48 3088 -231168 19207440 -1725512448 164534857984 -16421904052224 1697528370486544 -180303323253277440", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 48 224 352 256 896 35840 178176 355328 278528 315392 18087936 73924608 123994112 100663296 55574528 4160749568 15166603264 21944598528 15569256448 5167382528 446676598784 1477468749824 1855425871872 1065151889408 240518168576 17592186044416 52776558133248 57174604644352 26388279066624 4398046511104", "new_number": "6.15", "id": 398, "operator_tex": "\\theta^4+2^{4} x\\left(56\\theta^4+16\\theta^3+22\\theta^2+14\\theta+3\\right)+2^{10} x^{2}\\left(308\\theta^4+272\\theta^3+347\\theta^2+174\\theta+35\\right)+2^{18} x^{3}\\left(212\\theta^4+384\\theta^3+473\\theta^2+282\\theta+69\\right)+2^{26} x^{4}\\left(77\\theta^4+232\\theta^3+327\\theta^2+226\\theta+62\\right)+2^{35} x^{5}(7\\theta^2+17\\theta+13)(\\theta+1)^2+2^{42} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "64 76608", "discriminant": "6 1 896 315392 55574528 5167382528 240518168576 4398046511104", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0130ee676bad42a2e117bca3367f8cf0", "dim_h": null, "inst": " 64 -1732 76608 -4429212 296488640 -21825120372 1717018912320 -141880104014716 12174942318185984 -1076499728934938412", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(64z+1)^2(128z+1)^2(256z+1)^2", "discr_factors": "4398046511104, (z+1/64)^2, (z+1/128)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 32 992 10240 1229872 -66671616 7069121024 -658220711936 64281432183448", "yuk": "1 64 -13792 2068480 -283483360 37061080064 -4714223945728 588937486925824 -72642613539017952 8875532949959650816", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"0","approx_re":"-0.0078125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -80-960*X-5312*X^2-8704*X^3+7168*X^4, 143360+2736128*X+11501568*X^2-34471936*X^3+10551296*X^4, -699400192-3334471680*X-5653921792*X^2-5838471168*X^3-9529458688*X^4, -2415919104*(2*X+1)*(744*X^3+940*X^2+798*X+167), 37108517437440*(16*X^2+40*X+33)*(X+1)^2, 189995609279692800*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.16\" from ...", "degz": 6, "h3": null, "sol": "1 80 30480 9850112 4649741584 2264167322880 1229814448800000 696508535721676800 412347129435862310160 251255806159573896254720", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -80 -960 -5312 -8704 7168 143360 2736128 11501568 -34471936 10551296 -699400192 -3334471680 -5653921792 -5838471168 -9529458688 -403458490368 -2734820425728 -6126770847744 -6339371728896 -3594887626752 1224581075435520 3933502848368640 4786998749429760 2671813255495680 593736278999040 759982437118771200 2279947311356313600 2469942920636006400 1139973655678156800 189995609279692800", "new_number": "6.16", "id": 399, "operator_tex": "\\theta^4+2^{4} x\\left(448\\theta^4-544\\theta^3-332\\theta^2-60\\theta-5\\right)+2^{12} x^{2}\\left(2576\\theta^4-8416\\theta^3+2808\\theta^2+668\\theta+35\\right)-2^{20} x^{3}\\left(9088\\theta^4+5568\\theta^3+5392\\theta^2+3180\\theta+667\\right)-2^{28} 3^{2} x^{4}(2\\theta+1)(744\\theta^3+940\\theta^2+798\\theta+167)+2^{38} 3^{3} 5 x^{5}(16\\theta^2+40\\theta+33)(\\theta+1)^2+2^{48} 3^{3} 5^{2} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "2272 434311008", "discriminant": "6 1 7168 10551296 -9529458688 -3594887626752 593736278999040 189995609279692800", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f30ffc268310c175e914066ee270f47b", "dim_h": null, "inst": " 2272 -719992 434311008 -343376572072 316225589496736 -321072938540815640 348896247091828272608 -398556095609830140802088 473068944329846722946244864 -578798984312874623996834074536", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(768z-1)(256z-1)(256z+1)^2(3840z+1)^2", "discr_factors": "189995609279692800, (z+1/3840)^2, z-1/256, (z+1/256)^2, z-1/768", "dm_basis": null, "q": "0 1 -640 536928 -540162048 603003257392 -719331333439488 898066818257433088 -1158932064480973291520 1533592969291457282386584", "yuk": "1 2272 -5757664 11726399488 -21976106370272 39528198687094272 -69351754713095538688 119671412752497097506816 -204060720952255008197039328 344867260416458261039538905344", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3840","im":"0","approx_re":"-0.000260416666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -14-73*X-154*X^2-162*X^3-81*X^4, 3256+11390*X+15571*X^2+9876*X^3+2469*X^4, -162708-457536*X-476503*X^2-215994*X^3-35999*X^4, 2949480+7097160*X+6016050*X^2+2120880*X^3+265110*X^4, -6300*(X+4)*(X+1)*(151*X^2+755*X+850), 1323000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.17\" from ...", "degz": 6, "h3": null, "sol": "1 14 220 3800 70840 1404944 29317456 638193920 14393845480 334501958000", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 -14 -73 -154 -162 -81 3256 11390 15571 9876 2469 -162708 -457536 -476503 -215994 -35999 2949480 7097160 6016050 2120880 265110 -21420000 -45801000 -32942700 -9513000 -951300 52920000 103194000 64827000 15876000 1323000", "new_number": "6.17", "id": 400, "operator_tex": "\\theta^4-x\\left(14+73\\theta+154\\theta^2+162\\theta^3+81\\theta^4\\right)+x^{2}\\left(3256+11390\\theta+15571\\theta^2+9876\\theta^3+2469\\theta^4\\right)-x^{3}\\left(162708+457536\\theta+476503\\theta^2+215994\\theta^3+35999\\theta^4\\right)+2 3 5 x^{4}\\left(8837\\theta^4+70696\\theta^3+200535\\theta^2+236572\\theta+98316\\right)-2^{2} 3^{2} 5^{2} 7 x^{5}(\\theta+4)(\\theta+1)(151\\theta^2+755\\theta+850)+2^{3} 3^{3} 5^{3} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "2 224/9", "discriminant": "6 1 -81 2469 -35999 265110 -951300 1323000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "bbcabbebf6c04783d4ec5d0a5664f174", "dim_h": null, "inst": " 2 -4 224/9 -112 4446/5 -49628/9 46974 -341400 9101936/3 -121028712/5", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "(6z-1)(14z-1)(30z-1)(21z-1)(-1+5z)^2", "discr_factors": "1323000, z-1/6, z-1/21, z-1/14, z-1/30, (-1/5+z)^2", "dm_basis": null, "q": "0 1 -17 267 -4189 65570 -1027203 16092382 -252180497 3952190541", "yuk": "1 2 -30 674 -7198 111152 -1190430 16112084 -174803998 2211771122", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/30","im":"0","approx_re":"0.0333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/21","im":"0","approx_re":"0.047619047619","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/14","im":"0","approx_re":"0.0714285714286","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5","im":"0","approx_re":"0.2","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 11*X+26*X^3+2+13*X^4+24*X^2, -(141*X^2+282*X+296)*(X+1)^2, -2*(X+2)*(X+1)*(407*X^2+1221*X+654), 28*(X+3)*(X+1)*(389*X^2+1556*X+1460), -1176*(X+4)*(X+1)*(29*X^2+145*X+166), 32928*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.20\" from ...", "degz": 6, "h3": null, "sol": "1 -2 28 -224 2464 -26432 302344 -3527456 42147088 -511729568", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 2 11 24 26 13 -296 -874 -1001 -564 -141 -2616 -8808 -10262 -4884 -814 122640 294224 247828 87136 10892 -780864 -1658160 -1184232 -341040 -34104 1317120 2568384 1613472 395136 32928", "new_number": "6.20", "id": 404, "operator_tex": "\\theta^4+x\\left(11\\theta+26\\theta^3+2+13\\theta^4+24\\theta^2\\right)-x^{2}(141\\theta^2+282\\theta+296)(\\theta+1)^2-2 x^{3}(\\theta+2)(\\theta+1)(407\\theta^2+1221\\theta+654)+2^{2} 7 x^{4}(\\theta+3)(\\theta+1)(389\\theta^2+1556\\theta+1460)-2^{3} 3 7^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+166)+2^{5} 3 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "0 -1/3", "discriminant": "6 1 13 -141 -814 10892 -34104 32928", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "5169c67af7361bf7e6467dabea9612bd", "dim_h": null, "inst": " 0 1/2 -1/3 -1 -2 124/9 -69/7 -62 -737/3 2927/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(-1+2z)(4z-1)(21z^2-9z+1)(1+14z)^2", "discr_factors": "32928, (1/14+z)^2, -1/2+z, z^2-3/7*z+1/21, z-1/4", "dm_basis": null, "q": "0 1 3 -17 -83 370 2223 -7945 -58549 168838", "yuk": "1 0 4 -9 -60 -250 2971 -3381 -31804 -179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/14","im":"0","approx_re":"-0.0714285714286","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"-1/42*3^(1/2)","approx_re":"0.214285714286","approx_im":"-0.041239","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"1/42*3^(1/2)","approx_re":"0.214285714286","approx_im":"0.041239","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 6+27*X+47*X^2+40*X^3+20*X^4, -(143*X^2+286*X+120)*(X+1)^2, -18*(X+2)*(X+1)*(291*X^2+873*X+766), -540*(X+3)*(X+1)*(41*X^2+164*X+196), 5400*(X+4)*(X+1)*(29*X^2+145*X+150), 972000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.21\" from ...", "degz": 6, "h3": null, "sol": "1 -6 60 -480 5040 -42336 468456 -3906720 46352160 -367896000", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 6 27 47 40 20 -120 -526 -835 -572 -143 -27576 -72792 -71406 -31428 -5238 -317520 -689040 -526500 -177120 -22140 3240000 7182000 5351400 1566000 156600 38880000 75816000 47628000 11664000 972000", "new_number": "6.21", "id": 405, "operator_tex": "\\theta^4+x\\left(6+27\\theta+47\\theta^2+40\\theta^3+20\\theta^4\\right)-x^{2}(143\\theta^2+286\\theta+120)(\\theta+1)^2-2 3^{2} x^{3}(\\theta+2)(\\theta+1)(291\\theta^2+873\\theta+766)-2^{2} 3^{3} 5 x^{4}(\\theta+3)(\\theta+1)(41\\theta^2+164\\theta+196)+2^{3} 3^{3} 5^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+150)+2^{5} 3^{5} 5^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "1 11", "discriminant": "6 1 20 -143 -5238 -22140 156600 972000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "319d6b2f1541de5252840442cc6f8dcd", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(9z+1)(12z+1)(10z+1)^2", "discr_factors": "972000, z+1/12, z+1/9, z-1/6, (z+1/10)^2, z-1/15", "dm_basis": null, "q": "0 1 3 -28 -339 -995 8208 79253 -114261 -6614045", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/9","im":"0","approx_re":"-0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10","im":"0","approx_re":"-0.1","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/15","im":"0","approx_re":"0.0666666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[594823321*X^4, -41022298*(2*X^2+2*X+1)*(152*X^2+152*X+41), -41701287760*X-46442899584*X^3-9242748108-67293543464*X^2-11610724896*X^4, 240566071968+302906697312*X^3+50484449552*X^4+675430234228*X^2+663210564780*X, -2836805694000*X^2-125333113152*X^4-3325903534272*X-1002664905216*X^3-1367276391504, 29198592*(X+4)*(X+1)*(5408*X^2+27040*X+30585), -63358930944*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.23\" from ...", "degz": 6, "h3": null, "sol": "1 82/29 18498/841 5789116/24389 2183601010/707281 913152637572/20511149 409341207536124/594823321 192743090925367176/17249876309 94153052624510162322/500246412961 47322122842880605326340/14507145975869", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 594823321 -1681914218 -9599217732 -22069996324 -24941557184 -12470778592 -9242748108 -41701287760 -67293543464 -46442899584 -11610724896 240566071968 663210564780 675430234228 302906697312 50484449552 -1367276391504 -3325903534272 -2836805694000 -1002664905216 -125333113152 3572155745280 7623314392320 5472312516864 1579059855360 157905985536 -2534357237760 -4941996613632 -3104587616256 -760307171328 -63358930944", "new_number": "6.23", "id": 407, "operator_tex": "29^{6} \\theta^4-2 29^{5} x(2\\theta^2+2\\theta+1)(152\\theta^2+152\\theta+41)-2^{2} 29^{4} x^{2}\\left(4104\\theta^4+16416\\theta^3+23786\\theta^2+14740\\theta+3267\\right)+2^{2} 29^{3} x^{3}\\left(517492\\theta^4+3104952\\theta^3+6923513\\theta^2+6798255\\theta+2465928\\right)-2^{4} 3 29^{2} x^{4}\\left(3104764\\theta^4+24838112\\theta^3+70273625\\theta^2+82389604\\theta+33870303\\right)+2^{8} 3^{2} 19 23 29 x^{5}(\\theta+4)(\\theta+1)(5408\\theta^2+27040\\theta+30585)-2^{12} 3^{4} 19^{2} 23^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "24/29 284/29", "discriminant": "6 594823321 -12470778592 -11610724896 50484449552 -125333113152 157905985536 -63358930944", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "83e67651e4ea5ee123354c2989ff7460", "dim_h": null, "inst": " 24/29 72/29 284/29 1616/29 10632/29 81083/29 669752/29 5934668/29 1906348 536629728/29", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(92z+29)(1195632z^3-467248z^2+548332z-24389)(24z-29)^2", "discr_factors": "-63358930944, z^3-1537/3933*z^2+137083/298908*z-24389/1195632, (z-29/24)^2, z+29/92", "dm_basis": null, "q": "0 1 -140/29 -584/841 78396/24389 -115182068/707281 -14506300576/20511149 -5471243858286/594823321 -1427106280063472/17249876309 -433784195001453154/500246412961", "yuk": "1 24/29 600/29 7692/29 104024/29 1329024/29 17522196/29 229724960/29 3038654040/29 40302110760/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-29/92","im":"0","approx_re":"-0.315217391304","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-841/47196*(3086+1242*57^(1/2))^(1/3)+89987/11799/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"0","approx_re":"0.046074","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"841/94392*(3086+1242*57^(1/2))^(1/3)-89987/23598/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"29/4*3^(1/2)*(-29/23598*(3086+1242*57^(1/2))^(1/3)-6206/11799/(3086+1242*57^(1/2))^(1/3))","approx_re":"0.172361","approx_im":"-0.642668","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"841/94392*(3086+1242*57^(1/2))^(1/3)-89987/23598/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"-29/4*3^(1/2)*(-29/23598*(3086+1242*57^(1/2))^(1/3)-6206/11799/(3086+1242*57^(1/2))^(1/3))","approx_re":"0.172361","approx_im":"0.642668","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"29/24","im":"0","approx_re":"1.20833333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[1849*X^4, -3698-75250*X^3-61662*X^2-24037*X-35690*X^4, -1342738*X^3-368510-1383525*X-354697*X^4-2007703*X^2, -2348230-6951423*X-774028*X^4-3928308*X^3-7763518*X^2, -8994645*X-8960520*X^2-666345*X^4-3960420*X^3-3321450, -450*(X+2)*(X+1)*(533*X^2+1694*X+1290), -3375*(3*X+5)*(3*X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.26\" from ...", "degz": 6, "h3": null, "sol": "1 2 26 344 5650 101692 1961504 39693712 832924978 17976759860", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1849 -3698 -24037 -61662 -75250 -35690 -368510 -1383525 -2007703 -1342738 -354697 -2348230 -6951423 -7763518 -3928308 -774028 -3321450 -8994645 -8960520 -3960420 -666345 -1161000 -3266100 -3347100 -1481850 -239850 -135000 -384750 -401625 -182250 -30375", "new_number": "6.26", "id": 410, "operator_tex": "43^{2} \\theta^4-43 x\\left(830\\theta^4+1750\\theta^3+1434\\theta^2+559\\theta+86\\right)-x^{2}\\left(1342738\\theta^3+368510+1383525\\theta+354697\\theta^4+2007703\\theta^2\\right)-x^{3}\\left(2348230+6951423\\theta+774028\\theta^4+3928308\\theta^3+7763518\\theta^2\\right)-3 5 x^{4}\\left(44423\\theta^4+264028\\theta^3+597368\\theta^2+599643\\theta+221430\\right)-2 3^{2} 5^{2} x^{5}(\\theta+2)(\\theta+1)(533\\theta^2+1694\\theta+1290)-3^{3} 5^{3} x^{6}(3\\theta+5)(3\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "58/43 1024/43", "discriminant": "6 1849 -35690 -354697 -774028 -666345 -239850 -30375", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "38ef7a13fad0ecbb53ba25dafe26b113", "dim_h": null, "inst": " 58/43 211/43 1024/43 7544/43 64880/43 642512/43 6932348/43 80121364/43 974406940/43 12346791976/43", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(5z+1)(27z-1)(15z+43)^2(z+1)^2", "discr_factors": "-30375, z+1/5, (z+43/15)^2, z-1/27, (z+1)^2", "dm_basis": null, "q": "0 1 -5 -16 33 -281 -4304 -47369 -595869 -8056056", "yuk": "1 58/43 1746/43 27706/43 484562/43 188606 138811986/43 2377795422/43 41022622930/43 710342686966/43", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-43/15","im":"0","approx_re":"-2.86666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/5","im":"0","approx_re":"-0.2","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","4/3","5/3","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[24137569*X^4, -1155763598*X^2-549484659*X-105069418-606278939*X^4-1212557878*X^3, 25120026523*X^2+15781794076*X^3+18676464894*X+5390111256+3945448519*X^4, -91101169440*X-7008423978*X^4-93442872282*X^2-32569298904-42050543868*X^3, -426336402096*X-128976723360*X^3-364537547244*X^2-16122090420*X^4-174815457264, 3572856*(X+4)*(X+1)*(3737*X^2+18685*X+21310), -2453921568*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.27\" from ...", "degz": 6, "h3": null, "sol": "1 74/17 7788/289 1036400/4913 164905648/83521 29670769824/1419857 5791052362056/24137569 1194339105635232/410338673 256246843974225120/6975757441 56648334490949377472/118587876497", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 24137569 -105069418 -549484659 -1155763598 -1212557878 -606278939 5390111256 18676464894 25120026523 15781794076 3945448519 -32569298904 -91101169440 -93442872282 -42050543868 -7008423978 -174815457264 -426336402096 -364537547244 -128976723360 -16122090420 304550245440 647723064240 463338684648 133517628720 13351762872 -98156862720 -191405882304 -120242156832 -29447058816 -2453921568", "new_number": "6.27", "id": 411, "operator_tex": "17^{6} \\theta^4-17^{5} x\\left(427\\theta^4+854\\theta^3+814\\theta^2+387\\theta+74\\right)+17^{4} x^{2}\\left(47239\\theta^4+188956\\theta^3+300763\\theta^2+223614\\theta+64536\\right)-2 3 17^{3} x^{3}\\left(237751\\theta^4+1426506\\theta^3+3169919\\theta^2+3090480\\theta+1104868\\right)-2^{2} 3^{2} 17^{2} x^{4}\\left(1549605\\theta^4+12396840\\theta^3+35038211\\theta^2+40978124\\theta+16802716\\right)+2^{3} 3^{3} 7 17 139 x^{5}(\\theta+4)(\\theta+1)(3737\\theta^2+18685\\theta+21310)-2^{5} 3^{4} 7^{2} 139^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "6/17 33/17", "discriminant": "6 24137569 -606278939 3945448519 -7008423978 -16122090420 13351762872 -2453921568", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "af5aea32756746d4fc4931e4da73756b", "dim_h": null, "inst": " 6/17 25/34 33/17 157/17 577/17 6115/34 15779/17 93410/17 553816/17 7017071/34", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "-(28z+17)(278z-17)(8757z^2-2805z+289)(6z-17)^2", "discr_factors": "-2453921568, (z-17/6)^2, z^2-935/2919*z+289/8757, z-17/278, z+17/28", "dm_basis": null, "q": "0 1 -91/17 5102/289 -302731/4913 10341750/83521 -329009388/1419857 -26092235588/24137569 1245683926125/410338673 -360713787912586/6975757441", "yuk": "1 6/17 106/17 897/17 10154/17 4243 661417/17 5412203/17 47836074/17 403732761/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-17/28","im":"0","approx_re":"-0.607142857143","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"17/278","im":"0","approx_re":"0.0611510791367","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"935/5838","im":"-289/5838*3^(1/2)","approx_re":"0.160157588215","approx_im":"-0.085742","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"935/5838","im":"289/5838*3^(1/2)","approx_re":"0.160157588215","approx_im":"0.085742","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/6","im":"0","approx_re":"2.83333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 4*(X^2+X+1)*(18*X^2+18*X+5), 5792*X+5392*X^2+2496*X^3+2160+624*X^4, -923776*X^2-829056*X-277056-431616*X^3-71936*X^4, -25691904-53942784*X^2-2392320*X^4-62662656*X-19138560*X^3, -451584*(X+4)*(X+1)*(62*X^2+310*X+345), -113799168*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.30\" from ...", "degz": 6, "h3": null, "sol": "1 -20 480 -11264 285712 -7049280 184611840 -4663941120 124864396560 -3189771901760", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 20 92 164 144 72 2160 5792 5392 2496 624 -277056 -829056 -923776 -431616 -71936 -25691904 -62662656 -53942784 -19138560 -2392320 -623185920 -1338946560 -967744512 -279982080 -27998208 -4551966720 -8876335104 -5576159232 -1365590016 -113799168", "new_number": "6.30", "id": 415, "operator_tex": "\\theta^4+2^{2} x(\\theta^2+\\theta+1)(18\\theta^2+18\\theta+5)+2^{4} x^{2}\\left(39\\theta^4+156\\theta^3+337\\theta^2+362\\theta+135\\right)-2^{6} x^{3}\\left(1124\\theta^4+6744\\theta^3+14434\\theta^2+12954\\theta+4329\\right)-2^{8} 3 7 x^{4}\\left(445\\theta^4+3560\\theta^3+10034\\theta^2+11656\\theta+4779\\right)-2^{10} 3^{2} 7^{2} x^{5}(\\theta+4)(\\theta+1)(62\\theta^2+310\\theta+345)-2^{12} 3^{4} 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "4 436", "discriminant": "6 1 72 624 -71936 -2392320 -27998208 -113799168", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "bc45bbf252bff0ad05b31f8e076f64cb", "dim_h": null, "inst": " 4 71/2 436 6728 127212 5573691/2 67561060 1758612780 48269531104 2762033837149/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+1)^2(28z+1)^3", "discr_factors": "-113799168, (z+1/28)^3, -1/36+z, (z+1/12)^2", "dm_basis": null, "q": "0 1 12 -16 -4416 -124112 -2325888 -34700544 -514879488 -11862404456", "yuk": "1 4 288 11776 430880 15901504 601970688 23173443584 900410174240 35188488186592", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/28","im":"0","approx_re":"-0.0357142857143","approx_im":"0.0","exponents":["0","0","-1/4","1/4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 24+148*X+344*X^2+392*X^3+196*X^4, 16128+73536*X+112672*X^2+75904*X^3+18976*X^4, 2903040+11114496*X+12883968*X^2+6119424*X^3+1019904*X^4, 206438400+698941440*X+656031744*X^2+240648192*X^3+30081024*X^4, 7077888*(16*X^2+80*X+35)*(2*X+5)^2, 169869312*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.39\" from ...", "degz": 6, "h3": null, "sol": "1 -24 648 -11520 -123480 18518976 -428085504 -33637773312 3723542994600 -153199327469760", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 24 148 344 392 196 16128 73536 112672 75904 18976 2903040 11114496 12883968 6119424 1019904 206438400 698941440 656031744 240648192 30081024 6193152000 19110297600 15146680320 4529848320 452984832 65399685120 187535720448 129100677120 32614907904 2717908992", "new_number": "6.39", "id": 417, "operator_tex": "\\theta^4+2^{2} x\\left(49\\theta^4+98\\theta^3+86\\theta^2+37\\theta+6\\right)+2^{5} x^{2}\\left(593\\theta^4+2372\\theta^3+3521\\theta^2+2298\\theta+504\\right)+2^{10} 3 x^{3}\\left(332\\theta^4+1992\\theta^3+4194\\theta^2+3618\\theta+945\\right)+2^{14} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)+2^{18} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{21} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "8 3784/3", "discriminant": "6 1 196 18976 1019904 30081024 452984832 2717908992", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6429f42cbe18bee944ac13edab1fbbcc", "dim_h": null, "inst": " 8 39/2 3784/3 51036 1659840 366636055/6 2809215000 282209084769/2 7219805436704 381151634610380", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(24z+1)(110592z^3+6912z^2+108z+1)(1+32z)^2", "discr_factors": "2717908992, z+1/24, (1/32+z)^2, z^3+1/16*z^2+1/1024*z+1/110592", "dm_basis": null, "q": "0 1 52 3414 230768 15921533 1119191448 79735039930 5734644233920 415434644622486", "yuk": "1 8 164 34064 3266468 207480008 13198932200 963560745008 72245528967332 5263238163391280", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(3+2*2^(1/2))^(1/3)-1/96/(3+2*2^(1/2))^(1/3)-1/48","im":"0","approx_re":"-0.045368","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(3+2*2^(1/2))^(1/3)+1/192/(3+2*2^(1/2))^(1/3)-1/48","im":"1/24*3^(1/2)*(-1/8*(3+2*2^(1/2))^(1/3)+1/8/(3+2*2^(1/2))^(1/3))","approx_re":"-0.008566","approx_im":"-0.011222","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(3+2*2^(1/2))^(1/3)+1/192/(3+2*2^(1/2))^(1/3)-1/48","im":"-1/24*3^(1/2)*(-1/8*(3+2*2^(1/2))^(1/3)+1/8/(3+2*2^(1/2))^(1/3))","approx_re":"-0.008566","approx_im":"0.011222","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4928*X-1360-6464*X^2-3072*X^3-1536*X^4, -262144*X-651264+1703936*X^2+1835008*X^3+458752*X^4, 3251634176+3615490048*X^2+5410652160*X+1207959552*X^3+201326592*X^4, -1545382920192-2714419331072*X-1846835937280*X^2-584115552256*X^3-73014444032*X^4, -259759622062080*X^2-474164389478400*X-335625924378624-65970697666560*X^3-6597069766656*X^4, 2533274790395904*(X+3)^4]", "text": "This is operator \"6.33\" from ...", "degz": 6, "h3": null, "sol": "1 1360 1516304 1522167040 1444349938960 1320519296632064 1176435721504129280 1028122237568411488256 885307276490857727434000 753420342756902018230969600", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -1360 -4928 -6464 -3072 -1536 -651264 -262144 1703936 1835008 458752 3251634176 5410652160 3615490048 1207959552 201326592 -1545382920192 -2714419331072 -1846835937280 -584115552256 -73014444032 -335625924378624 -474164389478400 -259759622062080 -65970697666560 -6597069766656 205195258022068224 273593677362757632 136796838681378816 30399297484750848 2533274790395904", "new_number": "6.33", "id": 418, "operator_tex": "\\theta^4-2^{4} x\\left(96\\theta^4+192\\theta^3+404\\theta^2+308\\theta+85\\right)+2^{12} x^{2}\\left(112\\theta^4+448\\theta^3+416\\theta^2-64\\theta-159\\right)+2^{20} x^{3}\\left(192\\theta^4+1152\\theta^3+3448\\theta^2+5160\\theta+3101\\right)-2^{28} x^{4}\\left(272\\theta^4+2176\\theta^3+6880\\theta^2+10112\\theta+5757\\right)-2^{38} 3 x^{5}\\left(8\\theta^4+80\\theta^3+315\\theta^2+575\\theta+407\\right)+2^{48} 3^{2} x^{6}\\left((\\theta+3)^4\\right)", "superseek": "352 26115552", "discriminant": "6 1 -1536 458752 201326592 -73014444032 -6597069766656 2533274790395904", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0677bb20f37d2fa88bafbc665d5157c1", "dim_h": null, "inst": " 352 60664 26115552 16623590600 13165993300256 11986704764296088 12020218264693813856 12940227600404919292744 14708343012850857454009600 17451325510266418328472861992", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(256z-1)^2(768z-1)^2(256z+1)^2", "discr_factors": "2533274790395904, (z-1/768)^2, (z-1/256)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 512 445280 480479232 578735581744 745583606296576 1005278122520203776 1400774260891946319872 2001101029745058591951512", "yuk": "1 352 485664 705120256 1063910284064 1645749162532352 2589128229793560576 4122934864789978152960 6625396531408382588168992 10722382056368275084678118656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3","3","3","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -324*X^2-60-192*X^3-96*X^4-228*X, -17408*X^3-9936-31744*X^2-4352*X^4-28672*X, 793856+882688*X^2+49152*X^4+1320960*X+294912*X^3, 10485760*X+9961472*X^2+458752*X^4+3670016*X^3+3084288, -478412800*X-62914560*X^3-252968960*X^2-6291456*X^4-353173504, 16777216*(X+3)^4]", "text": "This is operator \"6.34\" from ...", "degz": 6, "h3": null, "sol": "1 20/3 332/3 13360/27 966020/81 253744/9 1234573360/729 1826462528/2187 652178380780/2187 -4552695203120/19683", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 9 -60 -228 -324 -192 -96 -9936 -28672 -31744 -17408 -4352 793856 1320960 882688 294912 49152 3084288 10485760 9961472 3670016 458752 -353173504 -478412800 -252968960 -62914560 -6291456 1358954496 1811939328 905969664 201326592 16777216", "new_number": "6.34", "id": 419, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(8\\theta^4+16\\theta^3+27\\theta^2+19\\theta+5\\right)-2^{4} x^{2}\\left(272\\theta^4+1088\\theta^3+1984\\theta^2+1792\\theta+621\\right)+2^{8} x^{3}\\left(192\\theta^4+1152\\theta^3+3448\\theta^2+5160\\theta+3101\\right)+2^{12} x^{4}\\left(112\\theta^4+896\\theta^3+2432\\theta^2+2560\\theta+753\\right)-2^{16} x^{5}\\left(96\\theta^4+960\\theta^3+3860\\theta^2+7300\\theta+5389\\right)+2^{24} x^{6}\\left((\\theta+3)^4\\right)", "superseek": "4/3 -124/81", "discriminant": "6 9 -96 -4352 49152 458752 -6291456 16777216", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "1153f8807d42d96ede28f7a8d06c144b", "dim_h": null, "inst": " 4/3 -14/9 -124/81 -4498/243 37024/729 165074/243 80629772/19683 122791610/59049 -1576000/9 -7208283828944/4782969", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(16z-1)^2(16z-3)^2(16z+1)^2", "discr_factors": "16777216, (z-3/16)^2, (z+1/16)^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 4/3 -182/3 -24976/81 544783/243 96632/3 559420178/6561 -29268772288/19683 -18960126", "yuk": "1 4/3 -100/9 -40 -290572/243 4628972/729 146680 27656038040/19683 62798695324/59049 -127656040", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16","im":"0","approx_re":"0.1875","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3","3","3","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-64*X-125*X^2-122*X^3-61*X^4, -576-4176*X-8264*X^2-6176*X^3-1544*X^4, 622080+2414592*X+2823168*X^2+1345536*X^3+224256*X^4, -51609600-174735360*X-164007936*X^2-60162048*X^3-7520256*X^4, 1769472*(16*X^2+80*X+35)*(2*X+5)^2, -42467328*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.5\" from ...", "degz": 6, "h3": null, "sol": "1 12 324 5760 215460 2549232 200116224 -782825472 277853698980 -7114516952400", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -12 -64 -125 -122 -61 -576 -4176 -8264 -6176 -1544 622080 2414592 2823168 1345536 224256 -51609600 -174735360 -164007936 -60162048 -7520256 1548288000 4777574400 3786670080 1132462080 113246208 -16349921280 -46883930112 -32275169280 -8153726976 -679477248", "new_number": "6.5", "id": 427, "operator_tex": "\\theta^4-x\\left(12+64\\theta+125\\theta^2+122\\theta^3+61\\theta^4\\right)-2^{3} x^{2}\\left(193\\theta^4+772\\theta^3+1033\\theta^2+522\\theta+72\\right)+2^{9} 3 x^{3}\\left(146\\theta^4+876\\theta^3+1838\\theta^2+1572\\theta+405\\right)-2^{12} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)+2^{16} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2-2^{19} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "-11 -3422/3", "discriminant": "6 1 -61 -1544 224256 -7520256 113246208 -679477248", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6a4aeb5833b7673c962d5598842d3f2c", "dim_h": null, "inst": " -11 68 -3422/3 30735 -1014993 37434552 -1486568559 62556815721 -8291619038429/3 127231570499928", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(24z-1)(27648z^3-1728z^2+27z+1)(-1+32z)^2", "discr_factors": "-679477248, z-1/24, (-1/32+z)^2, z^3-1/16*z^2+1/1024*z+1/27648", "dm_basis": null, "q": "0 1 -16 -114 20776 -936859 27143952 -486221306 1441150448 149478220674", "yuk": "1 -11 533 -30809 1967573 -126874136 8085832967 -509893015748 32029091616725 -2014863426369056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(17+12*2^(1/2))^(1/3)-1/96/(17+12*2^(1/2))^(1/3)+1/48","im":"0","approx_re":"-0.016119","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(17+12*2^(1/2))^(1/3)+1/192/(17+12*2^(1/2))^(1/3)+1/48","im":"1/6*3^(1/2)*(-1/32*(17+12*2^(1/2))^(1/3)+1/32/(17+12*2^(1/2))^(1/3))","approx_re":"0.03931","approx_im":"-0.026431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(17+12*2^(1/2))^(1/3)+1/192/(17+12*2^(1/2))^(1/3)+1/48","im":"-1/6*3^(1/2)*(-1/32*(17+12*2^(1/2))^(1/3)+1/32/(17+12*2^(1/2))^(1/3))","approx_re":"0.03931","approx_im":"0.026431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-100*X-305*X^2-410*X^3-205*X^4, -3168-14976*X-23744*X^2-16256*X^3-4064*X^4, -87480-336492*X-391668*X^2-186336*X^3-31056*X^4, -806400-2730240*X-2562624*X^2-940032*X^3-117504*X^4, -3456*(16*X^2+80*X+35)*(2*X+5)^2, -10368*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.6\" from ...", "degz": 6, "h3": null, "sol": "1 12 972 106200 14027580 2067427152 327459248424 54573068762784 9445628232122940 1683369975662266320", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -12 -100 -305 -410 -205 -3168 -14976 -23744 -16256 -4064 -87480 -336492 -391668 -186336 -31056 -806400 -2730240 -2562624 -940032 -117504 -3024000 -9331200 -7395840 -2211840 -221184 -3991680 -11446272 -7879680 -1990656 -165888", "new_number": "6.6", "id": 428, "operator_tex": "\\theta^4-x\\left(12+100\\theta+305\\theta^2+410\\theta^3+205\\theta^4\\right)-2^{5} x^{2}\\left(127\\theta^4+508\\theta^3+742\\theta^2+468\\theta+99\\right)-2^{2} 3 x^{3}\\left(2588\\theta^4+15528\\theta^3+32639\\theta^2+28041\\theta+7290\\right)-2^{6} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{7} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2-2^{7} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "25 17452", "discriminant": "6 1 -205 -4064 -31056 -117504 -221184 -165888", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e97e9b0e87960fe4cffbb22a5e935b4a", "dim_h": null, "inst": " 25 446 17452 958347 65098152 5055483196 430715448330 39283093415433 11323641414587648/3 377927448242942418", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(3z+1)(3456z^3+1728z^2+216z-1)(4z+1)^2", "discr_factors": "-165888, (z+1/4)^2, z^3+1/2*z^2+1/16*z-1/3456, z+1/3", "dm_basis": null, "q": "0 1 -52 264 -860 -1537708 -103113984 -9739921118 -1015028462344 -107590224786822", "yuk": "1 25 3593 471229 61337801 8137269025 1091984845133 147735398777215 20112943890039497 2751644863745269693", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24*2^(1/3)-1/48*2^(2/3)-1/6","im":"-1/24*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.252234","approx_im":"-0.033647","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24*2^(1/3)-1/48*2^(2/3)-1/6","im":"1/24*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.252234","approx_im":"0.033647","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12*2^(1/3)+1/24*2^(2/3)-1/6","im":"0","approx_re":"0.004468","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -126*X^4-252*X^3-231*X^2-105*X-18, 7857*X^4+31428*X^3+47169*X^2+31482*X+7128, -349920*X^4-2099520*X^3-4425516*X^2-3828708*X-1006020, 10707552*X^4+85660416*X^3+233519112*X^2+248793120*X+73483200, -2834352*(16*X^2+80*X+35)*(2*X+5)^2, 76527504*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.7\" from ...", "degz": 6, "h3": null, "sol": "1 18 378 8820 266490 8688708 247642164 6595916184 212629478490 7830581178420", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -105 -231 -252 -126 7128 31482 47169 31428 7857 -1006020 -3828708 -4425516 -2099520 -349920 73483200 248793120 233519112 85660416 10707552 -2480058000 -7652750400 -6065513280 -1813985280 -181398528 29463089040 84486364416 58160903040 14693280768 1224440064", "new_number": "6.7", "id": 429, "operator_tex": "\\theta^4-3 x\\left(42\\theta^4+84\\theta^3+77\\theta^2+35\\theta+6\\right)+3^{3} x^{2}\\left(291\\theta^4+1164\\theta^3+1747\\theta^2+1166\\theta+264\\right)-2^{2} 3^{5} x^{3}\\left(360\\theta^4+2160\\theta^3+4553\\theta^2+3939\\theta+1035\\right)+2^{3} 3^{8} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{4} 3^{11} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{4} 3^{14} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "-9 217/3", "discriminant": "6 1 -126 7857 -349920 10707552 -181398528 1224440064", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9492f991c909a6774f5546668ff53b6a", "dim_h": null, "inst": " -9 18 217/3 -9 -146079 24412075/3 -308382426 9737440047 -856982681864/3 8889098301450", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(27z-1)(34992z^3-1944z^2+27z-1)(-1+36z)^2", "discr_factors": "1224440064, z-1/27, (-1/36+z)^2, z^3-1/18*z^2+1/1296*z-1/34992", "dm_basis": null, "q": "0 1 -33 1386 -66479 3301242 -165260790 8325015305 -422661117873 21630151957212", "yuk": "1 -9 135 1944 -441 -18259884 1757671488 -105775172127 4985569303623 -208246791691008", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/216*(17+12*2^(1/2))^(1/3)-1/216/(17+12*2^(1/2))^(1/3)+1/54","im":"-1/18*3^(1/2)*(1/12*(17+12*2^(1/2))^(1/3)-1/12/(17+12*2^(1/2))^(1/3))","approx_re":"0.002095","approx_im":"-0.023494","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/216*(17+12*2^(1/2))^(1/3)-1/216/(17+12*2^(1/2))^(1/3)+1/54","im":"1/18*3^(1/2)*(1/12*(17+12*2^(1/2))^(1/3)-1/12/(17+12*2^(1/2))^(1/3))","approx_re":"0.002095","approx_im":"0.023494","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108*(17+12*2^(1/2))^(1/3)+1/108/(17+12*2^(1/2))^(1/3)+1/54","im":"0","approx_re":"0.051365","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -65533*X^4-99242*X^3-74971*X^2-25350*X-3380, 5957080*X^4+12486736*X^3+12080808*X^2+6145360*X+1248624, -236733120*X^4-654585984*X^3-804420096*X^2-464488128*X-99535488, 4723212800*X^4+17241773056*X^3+25236014080*X^2+16307101184*X+3735926784, -208896*(X+1)*(222704*X^3+833160*X^2+989659*X+317310), 45086441472*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.8\" from ...", "degz": 6, "h3": null, "sol": "1 20 1524 196400 31587220 5722985520 1118464762800 230426664262080 49357356300638100 10893607292632235600", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 169 -3380 -25350 -74971 -99242 -65533 1248624 6145360 12080808 12486736 5957080 -99535488 -464488128 -804420096 -654585984 -236733120 3735926784 16307101184 25236014080 17241773056 4723212800 -66284789760 -273020596224 -380779597824 -220565766144 -46521974784 450864414720 1758371217408 2209235632128 1082074595328 180345765888", "new_number": "6.8", "id": 430, "operator_tex": "13^{2} \\theta^4-13 x\\left(5041\\theta^4+7634\\theta^3+5767\\theta^2+1950\\theta+260\\right)+2^{3} x^{2}\\left(744635\\theta^4+1560842\\theta^3+1510101\\theta^2+768170\\theta+156078\\right)-2^{6} 3 x^{3}\\left(1232985\\theta^4+3409302\\theta^3+4189688\\theta^2+2419209\\theta+518414\\right)+2^{9} x^{4}\\left(9225025\\theta^4+33675338\\theta^3+49289090\\theta^2+31849807\\theta+7296732\\right)-2^{12} 3 17 x^{5}(\\theta+1)(222704\\theta^3+833160\\theta^2+989659\\theta+317310)+2^{15} 3^{2} 17^{2} 23^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "567/13 512341/13", "discriminant": "6 169 -65533 5957080 -236733120 4723212800 -46521974784 180345765888", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "00104510dfaa4ae75940f08df0a52bf5", "dim_h": null, "inst": " 567/13 11392/13 512341/13 34191454/13 2850663840/13 271552091292/13 28401421258434/13 3181262602886126/13 375500615867335284/13 46192689096277540140/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(1-293z+4232z^2)(408z-13)^2(16z-1)^2", "discr_factors": "180345765888, (z-13/408)^2, 1/4232-293/4232*z+z^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 -70 1683 -88400 -661915 -345043794 -32308316307 -4302717734816 -553378095040209", "yuk": "1 567/13 91703/13 13833774/13 2188344759/13 356332980567/13 58655265643982/13 9741687491643429/13 1628806454866041271/13 273739948967301255810/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"293/8464-41/8464*41^(1/2)","im":"0","approx_re":"0.0036","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/408","im":"0","approx_re":"0.031862745098","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"293/8464+41/8464*41^(1/2)","im":"0","approx_re":"0.065634","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -76*X^4-80*X^3-73*X^2-33*X-6, 2209*X^4+4228*X^3+4745*X^2+2726*X+648, -31230*X^4-83628*X^3-109782*X^2-73296*X-20232, 225180*X^4+797904*X^3+1263060*X^2+987120*X+307152, -216*(X+1)*(3707*X^3+14055*X^2+20242*X+10704), 15552*(X+1)*(X+2)*(86*X^2+285*X+262), -839808*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.10\" from ...", "degz": 7, "h3": null, "sol": "1 6 60 816 13104 232416 4408296 87822720 1816916256 38731107264", "n_discr_factors": "5", "c3": null, "operator": "4 7 0 0 0 0 1 -6 -33 -73 -80 -76 648 2726 4745 4228 2209 -20232 -73296 -109782 -83628 -31230 307152 987120 1263060 797904 225180 -2312064 -6684336 -7408152 -3836592 -800712 8149248 21088512 20046528 8444736 1337472 -10077696 -23514624 -19315584 -6718464 -839808", "new_number": "7.10", "id": 432, "operator_tex": "\\theta^4-x\\left(76\\theta^4+80\\theta^3+73\\theta^2+33\\theta+6\\right)+x^{2}\\left(2209\\theta^4+4228\\theta^3+4745\\theta^2+2726\\theta+648\\right)-2 3^{2} x^{3}\\left(1735\\theta^4+4646\\theta^3+6099\\theta^2+4072\\theta+1124\\right)+2^{2} 3^{3} x^{4}\\left(2085\\theta^4+7388\\theta^3+11695\\theta^2+9140\\theta+2844\\right)-2^{3} 3^{3} x^{5}(\\theta+1)(3707\\theta^3+14055\\theta^2+20242\\theta+10704)+2^{6} 3^{5} x^{6}(\\theta+1)(\\theta+2)(86\\theta^2+285\\theta+262)-2^{7} 3^{8} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "1 11", "discriminant": "7 1 -76 2209 -31230 225180 -800712 1337472 -839808", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b1c277f62ba740f9f7e0371ba53e4194", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(3z-1)(18z-1)(27z-1)(12z-1)^2(-1+2z)^2", "discr_factors": "-839808, z-1/18, z-1/27, (-1/2+z)^2, (z-1/12)^2, z-1/3", "dm_basis": null, "q": "0 1 -9 44 -207 949 -5616 15965 -166089 -97109", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3","im":"0","approx_re":"0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -10*X*(15+71*X+112*X^2+38*X^3), -24000-77440*X-98716*X^2-63488*X^3-17456*X^4, 118800+126720*X-74160*X^2-161280*X^3-66240*X^4, 8475840+20583936*X+17368704*X^2+6045696*X^3+707328*X^4, 41472*(X+1)*(38*X^3+74*X^2-304*X-495), -82944*(2*X+13)*(2*X+3)*(17*X+39)*(X+1), -2985984*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"7.16\" from ...", "degz": 7, "h3": null, "sol": "1 0 60 480 16524 332640 9211920 241315200 6825804300 195543163200", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 25 0 -150 -710 -1120 -380 -24000 -77440 -98716 -63488 -17456 118800 126720 -74160 -161280 -66240 8475840 20583936 17368704 6045696 707328 -20528640 -33136128 -9538560 4644864 1575936 -126157824 -284663808 -216566784 -63700992 -5640192 -134369280 -322486272 -271724544 -95551488 -11943936", "new_number": "7.16", "id": 438, "operator_tex": "5^{2} \\theta^4-2 5 x\\theta(15+71\\theta+112\\theta^2+38\\theta^3)-2^{2} x^{2}\\left(4364\\theta^4+15872\\theta^3+24679\\theta^2+19360\\theta+6000\\right)-2^{4} 3^{2} 5 x^{3}\\left(92\\theta^4+224\\theta^3+103\\theta^2-176\\theta-165\\right)+2^{6} 3^{2} x^{4}\\left(1228\\theta^4+10496\\theta^3+30154\\theta^2+35736\\theta+14715\\right)+2^{9} 3^{4} x^{5}(\\theta+1)(38\\theta^3+74\\theta^2-304\\theta-495)-2^{10} 3^{4} x^{6}(2\\theta+13)(2\\theta+3)(17\\theta+39)(\\theta+1)-2^{12} 3^{6} x^{7}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "22/5 68", "discriminant": "7 25 -380 -17456 -66240 707328 1575936 -5640192 -11943936", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "660211ce6175f36772066594bfc33cbb", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+5)^2(12z+1)^2(4z-1)^2", "discr_factors": "-11943936, (z+5/12)^2, (z-1/4)^2, (z+1/12)^2, -1/36+z", "dm_basis": null, "q": "0 1 -6 -55 444 -2012 -40662 -48142 -5216472 -98264672", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/12","im":"0","approx_re":"-0.416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 27+132*X+258*X^2+252*X^3+261*X^4, 12582+47520*X+73764*X^2+58104*X^3+29106*X^4, 1986768+6507054*X+8543394*X^2+5552064*X^3+1797714*X^4, 151397262+448488090*X+515524014*X^2+281458152*X^3+66412629*X^4, 6111709281+16709489190*X+17145782568*X^2+7984605780*X^3+1467308601*X^4, 1771470*(2*X+3)*(5066*X^3+26325*X^2+44815*X+23766), 23436548100*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"7.17\" from ...", "degz": 7, "h3": null, "sol": "1 -27 783 -23481 717903 -22219677 693312669 -21750039891 684693321327 -21597894376101", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 1 27 132 258 252 261 12582 47520 73764 58104 29106 1986768 6507054 8543394 5552064 1797714 151397262 448488090 515524014 281458152 66412629 6111709281 16709489190 17145782568 7984605780 1467308601 126302268060 322366796190 298678699350 120190696560 17948534040 1054644664500 2531147194800 2132725877100 749969539200 93746192400", "new_number": "7.17", "id": 439, "operator_tex": "\\theta^4+3 x\\left(87\\theta^4+84\\theta^3+86\\theta^2+44\\theta+9\\right)+2 3^{3} x^{2}\\left(539\\theta^4+1076\\theta^3+1366\\theta^2+880\\theta+233\\right)+2 3^{5} x^{3}\\left(3699\\theta^4+11424\\theta^3+17579\\theta^2+13389\\theta+4088\\right)+3^{7} x^{4}\\left(30367\\theta^4+128696\\theta^3+235722\\theta^2+205070\\theta+69226\\right)+3^{9} x^{5}\\left(74547\\theta^4+405660\\theta^3+871096\\theta^2+848930\\theta+310507\\right)+2 3^{11} 5 x^{6}(2\\theta+3)(5066\\theta^3+26325\\theta^2+44815\\theta+23766)+2^{2} 3^{14} 5^{2} 7^{2} x^{7}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "0 18", "discriminant": "7 1 261 29106 1797714 66412629 1467308601 17948534040 93746192400", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c248fd7c807d0aae71ef687a9ee40c80", "dim_h": null, "inst": " 0 -27/2 18 -999/2 1566 -63197/2 145800 -5170527/2 46391668/3 -249533325", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(27z+1)(1323z^2+72z+1)(36z+1)^2(45z+1)^2", "discr_factors": "93746192400, (z+1/36)^2, z^2+8/147*z+1/1323, z+1/27, (z+1/45)^2", "dm_basis": null, "q": "0 1 24 522 10670 210759 4055238 76621037 1426709406 26268081381", "yuk": "1 0 -108 486 -32076 195750 -6824898 50009400 -1323686988 11273175810", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/147","im":"-1/441*3^(1/2)","approx_re":"-0.0272108843537","approx_im":"-0.003928","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/147","im":"1/441*3^(1/2)","approx_re":"-0.0272108843537","approx_im":"0.003928","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/45","im":"0","approx_re":"-0.0222222222222","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 2752*X^2+1216*X+176+3072*X^3-2304*X^4, -409600*X^2+2539520*X+589824-5242880*X^3+1638400*X^4, 203423744+377487360*X-1317011456*X^2+2617245696*X^3-150994944*X^4, 15032385536*X^2-92341796864*X-16106127360-274877906944*X^3-227633266688*X^4, -68444598829056*X^2-78340203479040*X-24532853194752-65970697666560*X^3+49478023249920*X^4, 10766417859182592+42432352739131392*X+62698551062298624*X^2+40532396646334464*X^3+7599824371187712*X^4, -1945555039024054272*(X+1)^4]", "text": "This is operator \"7.18\" from ...", "degz": 7, "h3": null, "sol": "1 -176 17168 -4715264 653856016 -191557409536 30340274422016 -9057045220569088 1542586229229919504 -463281504713458547456", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 176 1216 2752 3072 -2304 589824 2539520 -409600 -5242880 1638400 203423744 377487360 -1317011456 2617245696 -150994944 -16106127360 -92341796864 15032385536 -274877906944 -227633266688 -24532853194752 -78340203479040 -68444598829056 -65970697666560 49478023249920 10766417859182592 42432352739131392 62698551062298624 40532396646334464 7599824371187712 -1945555039024054272 -7782220156096217088 -11673330234144325632 -7782220156096217088 -1945555039024054272", "new_number": "7.18", "id": 440, "operator_tex": "\\theta^4-2^{4} x\\left(144\\theta^4-192\\theta^3-172\\theta^2-76\\theta-11\\right)+2^{14} x^{2}\\left(100\\theta^4-320\\theta^3-25\\theta^2+155\\theta+36\\right)-2^{21} x^{3}\\left(72\\theta^4-1248\\theta^3+628\\theta^2-180\\theta-97\\right)-2^{30} x^{4}\\left(212\\theta^4+256\\theta^3-14\\theta^2+86\\theta+15\\right)+2^{36} 3 x^{5}\\left(240\\theta^4-320\\theta^3-332\\theta^2-380\\theta-119\\right)+2^{46} 3^{2} x^{6}\\left(12\\theta^4+64\\theta^3+99\\theta^2+67\\theta+17\\right)-2^{56} 3^{3} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "352 26115552", "discriminant": "7 1 -2304 1638400 -150994944 -227633266688 49478023249920 7599824371187712 -1945555039024054272", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "df2c3b4e6a3366531b24bb05809eb1a4", "dim_h": null, "inst": " 352 60664 26115552 16623590600 13165993300256 11986704764296088 12020218264693813856 12940227600404919292744 14708343012850857454009600 17451325510266418328472861992", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(256z-1)^2(256z+1)^2(768z-1)^3", "discr_factors": "-1945555039024054272, (z-1/768)^3, (z-1/256)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 512 445280 480479232 578735581744 745583606296576 1005278122520203776 1400774260891946319872 2001101029745058591951512", "yuk": "1 352 485664 705120256 1063910284064 1645749162532352 2589128229793560576 4122934864789978152960 6625396531408382588168992 10722382056368275084678118656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, 108-432*X^4+468*X+756*X^2+576*X^3, -99264*X^2-11520*X^4-23472-78528*X-61440*X^3, 501760*X^2-132096-34816*X+606208*X^3+217088*X^4, 16637952+589824*X^4+44793856*X+39354368*X^2+12582912*X^3, -402391040*X^2-26214400*X^4-72351744-302776320*X-188743680*X^3, 1329594368*X^2+240123904+926941184*X+805306368*X^3+150994944*X^4, -268435456*(X+1)^4]", "text": "This is operator \"7.19\" from ...", "degz": 7, "h3": null, "sol": "1 -4 68 -496 9796 -84944 1732016 -16427072 337469764 -3388418704", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 27 108 468 756 576 -432 -23472 -78528 -99264 -61440 -11520 -132096 -34816 501760 606208 217088 16637952 44793856 39354368 12582912 589824 -72351744 -302776320 -402391040 -188743680 -26214400 240123904 926941184 1329594368 805306368 150994944 -268435456 -1073741824 -1610612736 -1073741824 -268435456", "new_number": "7.19", "id": 441, "operator_tex": "3^{3} \\theta^4-2^{2} 3^{2} x\\left(12\\theta^4-16\\theta^3-21\\theta^2-13\\theta-3\\right)-2^{4} 3 x^{2}\\left(240\\theta^4+1280\\theta^3+2068\\theta^2+1636\\theta+489\\right)+2^{10} x^{3}\\left(212\\theta^4+592\\theta^3+490\\theta^2-34\\theta-129\\right)+2^{13} x^{4}\\left(72\\theta^4+1536\\theta^3+4804\\theta^2+5468\\theta+2031\\right)-2^{18} x^{5}\\left(100\\theta^4+720\\theta^3+1535\\theta^2+1155\\theta+276\\right)+2^{20} x^{6}\\left(144\\theta^4+768\\theta^3+1268\\theta^2+884\\theta+229\\right)-2^{28} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "4/3 -124/81", "discriminant": "7 27 -432 -11520 217088 589824 -26214400 150994944 -268435456", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f7f0f5d883101c38ed22cb74c80c8f5c", "dim_h": null, "inst": " 4/3 -14/9 -124/81 -4498/243 37024/729 165074/243 80629772/19683 122791610/59049 -1576000/9 -7208283828944/4782969", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(16z-1)^2(16z+1)^2(16z-3)^3", "discr_factors": "-268435456, (z+1/16)^2, (z-3/16)^3, (z-1/16)^2", "dm_basis": null, "q": "0 1 4/3 -182/3 -24976/81 544783/243 96632/3 559420178/6561 -29268772288/19683 -18960126", "yuk": "1 4/3 -100/9 -40 -290572/243 4628972/729 146680 27656038040/19683 62798695324/59049 -127656040", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16","im":"0","approx_re":"0.1875","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -864*X^4-216*X^3-282*X^2-174*X-36, 301536*X^4+239328*X^3+293652*X^2+140400*X+26064, -55302912*X^4-88926336*X^3-105048576*X^2-58113936*X-12913344, 5816883456*X^4+14961646080*X^3+19628039232*X^2+12355488576*X+3037849920, -354869268480*X^4-1255976534016*X^3-1906906116096*X^2-1335411173376*X-352231711488, 11796547829760*X^4+50640664264704*X^3+85369210896384*X^2+63970311831552*X+17547096158208, -178322008965120*X^4-777929764110336*X^3-1224353960165376*X^2-823686696271872*X-201757731323904, 743008370688*(6*X+5)^2*(6*X+7)^2]", "text": "This is operator \"8.25\" from ...", "degz": 8, "h3": null, "sol": "1 36 1908 116496 7816500 571265136 45282874896 3849203343168 344621130915636 31900564060477200", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 -36 -174 -282 -216 -864 26064 140400 293652 239328 301536 -12913344 -58113936 -105048576 -88926336 -55302912 3037849920 12355488576 19628039232 14961646080 5816883456 -352231711488 -1335411173376 -1906906116096 -1255976534016 -354869268480 17547096158208 63970311831552 85369210896384 50640664264704 11796547829760 -201757731323904 -823686696271872 -1224353960165376 -777929764110336 -178322008965120 910185254092800 3744762188267520 5724136487780352 3851755393646592 962938848411648", "new_number": "8.25", "id": 469, "operator_tex": "\\theta^4-2 3 x\\left(144\\theta^4+36\\theta^3+47\\theta^2+29\\theta+6\\right)+2^{2} 3^{2} x^{2}\\left(8376\\theta^4+6648\\theta^3+8157\\theta^2+3900\\theta+724\\right)-2^{4} 3^{4} x^{3}\\left(42672\\theta^4+68616\\theta^3+81056\\theta^2+44841\\theta+9964\\right)+2^{6} 3^{5} x^{4}\\left(374028\\theta^4+962040\\theta^3+1262091\\theta^2+794463\\theta+195335\\right)-2^{8} 3^{7} x^{5}\\left(633840\\theta^4+2243328\\theta^3+3405968\\theta^2+2385208\\theta+629129\\right)+2^{12} 3^{8} x^{6}\\left(438960\\theta^4+1884384\\theta^3+3176664\\theta^2+2380392\\theta+652943\\right)-2^{19} 3^{10} x^{7}\\left(5760\\theta^4+25128\\theta^3+39548\\theta^2+26606\\theta+6517\\right)+2^{22} 3^{11} x^{8}(6\\theta+5)^2(6\\theta+7)^2", "superseek": "-54 -197216/3", "discriminant": "8 1 -864 301536 -55302912 5816883456 -354869268480 11796547829760 -178322008965120 962938848411648", "aesz": "299", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c9e3907e21d64cf5564bf2d00992459e", "dim_h": null, "inst": " -54 -1530 -197216/3 -3553920 -222887448 -46187215136/3 -1137791347128 -88358802830496 -7126833307040540 -592327036101212712", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "(1-144z+6912z^2)(108z-1)^2(3456z^2-252z+1)^2", "discr_factors": "962938848411648, 1/6912-1/48*z+z^2, (z-1/108)^2, (z^2-7/96*z+1/3456)^2", "dm_basis": null, "q": "0 1 -30 1179 -7420 1565673 81731862 7825382963 675317911944 61224964477299", "yuk": "1 -54 -12294 -1774998 -227463174 -27860931054 -3325481277030 -390262432064958 -45239707276677126 -5195461480834328658", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"7/192-1/576*345^(1/2)","im":"0","approx_re":"0.004212","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96","im":"-1/288*3^(1/2)","approx_re":"0.0104166666667","approx_im":"-0.006014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96","im":"1/288*3^(1/2)","approx_re":"0.0104166666667","approx_im":"0.006014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/192+1/576*345^(1/2)","im":"0","approx_re":"0.068705","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","5/6","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -1210-9075*X-26323*X^2-34496*X^3-16687*X^4, -24266-106953*X-202166*X^2-207620*X^3-90362*X^4, -53130-217437*X-415082*X^2-507996*X^3-245714*X^4, -15226-183269*X-564786*X^2-785972*X^3-407863*X^4, -25160-279826*X-728323*X^2-790148*X^3-434831*X^4, -61152-303576*X-586744*X^2-562248*X^3-290888*X^4, -39040-172960*X-310160*X^2-274400*X^3-104560*X^4, -12800*(X+1)^4]", "text": "This operator has a second MUM-point at infinity corresponding to operator 8.27.", "degz": 8, "h3": "22", "sol": "1 10 466 32392 2727826 256793260 25999151200 2770767256960 306741044897170 34970581120268260", "n_discr_factors": "3", "c3": "-84", "operator": "4 8 0 0 0 0 121 -1210 -9075 -26323 -34496 -16687 -24266 -106953 -202166 -207620 -90362 -53130 -217437 -415082 -507996 -245714 -15226 -183269 -564786 -785972 -407863 -25160 -279826 -728323 -790148 -434831 -61152 -303576 -586744 -562248 -290888 -39040 -172960 -310160 -274400 -104560 -12800 -51200 -76800 -51200 -12800", "new_number": "8.26", "id": 470, "operator_tex": "11^{2} \\theta^4-11 x\\left(1517\\theta^4+3136\\theta^3+2393\\theta^2+825\\theta+110\\right)-x^{2}\\left(24266+106953\\theta+202166\\theta^2+207620\\theta^3+90362\\theta^4\\right)-x^{3}\\left(53130+217437\\theta+415082\\theta^2+507996\\theta^3+245714\\theta^4\\right)-x^{4}\\left(15226+183269\\theta+564786\\theta^2+785972\\theta^3+407863\\theta^4\\right)-x^{5}\\left(25160+279826\\theta+728323\\theta^2+790148\\theta^3+434831\\theta^4\\right)-2^{3} x^{6}\\left(36361\\theta^4+70281\\theta^3+73343\\theta^2+37947\\theta+7644\\right)-2^{4} 5 x^{7}\\left(1307\\theta^4+3430\\theta^3+3877\\theta^2+2162\\theta+488\\right)-2^{9} 5^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "193/11 48570/11", "discriminant": "8 121 -16687 -90362 -245714 -407863 -434831 -290888 -104560 -12800", "aesz": "301", "n_sing_complex": "2", "inst_int": "", "c2h": "64", "hash": "a91db18876a9dfbf42b88f8d64c55d85", "dim_h": "9", "inst": " 193/11 1973/11 48570/11 1689283/11 72444183/11 3550769296/11 190951621547/11 10993183799383/11 666771302469817/11 42142859324558057/11", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "-(-1+143z+32z^2)(z+1)^2(20z^2+17z+11)^2", "discr_factors": "-12800, (z+1)^2, -1/32+143/32*z+z^2, (z^2+17/20*z+11/20)^2", "dm_basis": null, "q": "0 1 -35 279 -5371 -178284 -10060533 -618825298 -39747432347 -2664472529088", "yuk": "1 193/11 15977/11 1311583/11 108130089/11 9055523068/11 766967495303/11 65496406190814/11 5628510213414185/11 486076279501808176/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-143/64-19/64*57^(1/2)","im":"0","approx_re":"-4.475732","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/40","im":"-1/40*591^(1/2)","approx_re":"-0.425","approx_im":"-0.607762","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/40","im":"1/40*591^(1/2)","approx_re":"-0.425","approx_im":"0.607762","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-143/64+19/64*57^(1/2)","im":"0","approx_re":"0.006982","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -400-2650*X-7145*X^2-8990*X^3-6535*X^4, 145920+693440*X+1290656*X^2+1202608*X^3+581776*X^4, -7573760-34924800*X-61879360*X^2-60747264*X^3-27829184*X^4, 38162432+450230272*X+1339490304*X^2+1731543040*X^3+835303424*X^4, 754122752-4692049920*X-23945412608*X^2-31120424960*X^3-16103112704*X^4, 4657774592+75428265984*X+254757830656*X^2+322600697856*X^3+189502849024*X^4, -43553652736-458420649984*X-1540618190848*X^2-2164395081728*X^3-1119845613568*X^4, -259845521408*(X+1)^4]", "text": "This operator has a second MUM-point at infinity corresponding to operator 8.26", "degz": 8, "h3": "20", "sol": "1 16 664 41920 3350776 307182016 30655306816 3238525410304 356430066908920 40464009003164416", "n_discr_factors": "3", "c3": "12", "operator": "4 8 0 0 0 0 25 -400 -2650 -7145 -8990 -6535 145920 693440 1290656 1202608 581776 -7573760 -34924800 -61879360 -60747264 -27829184 38162432 450230272 1339490304 1731543040 835303424 754122752 -4692049920 -23945412608 -31120424960 -16103112704 4657774592 75428265984 254757830656 322600697856 189502849024 -43553652736 -458420649984 -1540618190848 -2164395081728 -1119845613568 -259845521408 -1039382085632 -1559073128448 -1039382085632 -259845521408", "new_number": "8.27", "id": 471, "operator_tex": "5^{2} \\theta^4-5 x\\left(1307\\theta^4+1798\\theta^3+1429\\theta^2+530\\theta+80\\right)+2^{4} x^{2}\\left(36361\\theta^4+75163\\theta^3+80666\\theta^2+43340\\theta+9120\\right)-2^{6} x^{3}\\left(434831\\theta^4+949176\\theta^3+966865\\theta^2+545700\\theta+118340\\right)+2^{11} x^{4}\\left(407863\\theta^4+845480\\theta^3+654048\\theta^2+219839\\theta+18634\\right)-2^{16} x^{5}\\left(245714\\theta^4+474860\\theta^3+365378\\theta^2+71595\\theta-11507\\right)+2^{21} x^{6}\\left(90362\\theta^4+153828\\theta^3+121478\\theta^2+35967\\theta+2221\\right)-2^{26} 11 x^{7}\\left(1517\\theta^4+2932\\theta^3+2087\\theta^2+621\\theta+59\\right)-2^{31} 11^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "109/5 16777/5", "discriminant": "8 25 -6535 581776 -27829184 835303424 -16103112704 189502849024 -1119845613568 -259845521408", "aesz": "302", "n_sing_complex": "2", "inst_int": "", "c2h": "44", "hash": "e18ddbe4d66a3648b349130bcf119dc7", "dim_h": "7", "inst": " 109/5 867/4 16777/5 662976/5 26339071/5 4725689263/20 11911994862 3199079453966/5 180895125715734/5 42664671283257213/20", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "-(-1+143z+32z^2)(32z-1)^2(2816z^2-136z+5)^2", "discr_factors": "-259845521408, (z-1/32)^2, -1/32+143/32*z+z^2, (z^2-17/352*z+5/2816)^2", "dm_basis": null, "q": "0 1 -42 877 -19824 95014 -6976610 -379741214 -20268310336 -1319988021517", "yuk": "1 109/5 8779/5 453088/5 42439243/5 3292383984/5 51037536392 20429071188439/5 327585744573967 131872546647223174/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-143/64-19/64*57^(1/2)","im":"0","approx_re":"-4.475732","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-143/64+19/64*57^(1/2)","im":"0","approx_re":"0.006982","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/704","im":"-1/704*591^(1/2)","approx_re":"0.0241477272727","approx_im":"-0.034532","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"17/704","im":"1/704*591^(1/2)","approx_re":"0.0241477272727","approx_im":"0.034532","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[841*X^4, 58*X*(24*X^3-198*X^2-128*X-29), -177136*X^4-691816*X^3-994356*X^2-688228*X-188384, -2102832*X^4-9659088*X^3-17790572*X^2-15356196*X-5102376, -11324992*X^4-63288032*X^3-139163592*X^2-139170872*X-51970096, -16*(X+1)*(2152040*X^3+12186636*X^2+24179373*X+16560506), -32*(X+1)*(X+2)*(1912256*X^2+9108540*X+11349571), -10496*(X+3)*(X+2)*(X+1)*(5671*X+16301), -24529152*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This operator is reducible to operator 6.23", "degz": 8, "h3": null, "sol": "1 0 14 96 1266 15600 214340 3040800 44853970 678924960", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 841 0 -1682 -7424 -11484 1392 -188384 -688228 -994356 -691816 -177136 -5102376 -15356196 -17790572 -9659088 -2102832 -51970096 -139170872 -139163592 -63288032 -11324992 -264968096 -651838064 -581856144 -229418816 -34432640 -726372544 -1672505376 -1359990496 -475049856 -61192192 -1026571776 -2239185152 -1681322752 -528232192 -59522816 -588699648 -1226457600 -858520320 -245291520 -24529152", "new_number": "8.36", "id": 481, "operator_tex": "29^{2} \\theta^4+2 29 x\\theta(24\\theta^3-198\\theta^2-128\\theta-29)-2^{2} x^{2}\\left(44284\\theta^4+172954\\theta^3+248589\\theta^2+172057\\theta+47096\\right)-2^{2} x^{3}\\left(525708\\theta^4+2414772\\theta^3+4447643\\theta^2+3839049\\theta+1275594\\right)-2^{3} x^{4}\\left(1415624\\theta^4+7911004\\theta^3+17395449\\theta^2+17396359\\theta+6496262\\right)-2^{4} x^{5}(\\theta+1)(2152040\\theta^3+12186636\\theta^2+24179373\\theta+16560506)-2^{5} x^{6}(\\theta+1)(\\theta+2)(1912256\\theta^2+9108540\\theta+11349571)-2^{8} 41 x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(5671\\theta+16301)-2^{8} 3 19 41^{2} x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "24/29 284/29", "discriminant": "8 841 1392 -177136 -2102832 -11324992 -34432640 -61192192 -59522816 -24529152", "aesz": "327", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "586c1906112cbba9b2d54c57ce2add99", "dim_h": null, "inst": " 24/29 72/29 284/29 1616/29 10632/29 81083/29 669752/29 5934668/29 1906348 536629728/29", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "7", "laurent": null, "discriminant_tex": "-(6z+1)(152z^3+84z^2+14z-1)(2z+1)^2(82z+29)^2", "discr_factors": "-24529152, (z+29/82)^2, (z+1/2)^2, z+1/6, z^3+21/38*z^2+7/76*z-1/152", "dm_basis": null, "q": "0 1 -2 -20 -28 44 -640 -12814 -123368 -1168426", "yuk": "1 24/29 600/29 7692/29 104024/29 1329024/29 17522196/29 229724960/29 3038654040/29 40302110760/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-29/82","im":"0","approx_re":"-0.353658536585","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/228*(8181+1083*57^(1/2))^(1/3)-7/38/(8181+1083*57^(1/2))^(1/3)-7/38","im":"-1/4*3^(1/2)*(1/57*(8181+1083*57^(1/2))^(1/3)-14/19/(8181+1083*57^(1/2))^(1/3))","approx_re":"-0.302804","approx_im":"-0.180271","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/228*(8181+1083*57^(1/2))^(1/3)-7/38/(8181+1083*57^(1/2))^(1/3)-7/38","im":"1/4*3^(1/2)*(1/57*(8181+1083*57^(1/2))^(1/3)-14/19/(8181+1083*57^(1/2))^(1/3))","approx_re":"-0.302804","approx_im":"0.180271","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/114*(8181+1083*57^(1/2))^(1/3)+7/19/(8181+1083*57^(1/2))^(1/3)-7/38","im":"0","approx_re":"0.052976","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -6328*X^4-8960*X^3-7126*X^2-2646*X-392, 188624*X^4+312896*X^3+255852*X^2+124040*X+28000, -2471168*X^4-4829952*X^3-4988032*X^2-2776032*X-634816, 16892928*X^4+41109504*X^3+49575168*X^2+30080256*X+7218688, -64356352*X^4-192053248*X^3-259612672*X^2-168603648*X-42344448, 136839168*X^4+476577792*X^3+693960704*X^2+467927040*X+119799808, -142606336-574619648*X-864026624*X^2-578813952*X^3-150994944*X^4, 67108864*(X+1)^4]", "text": "This is operator \"8.43\" from ...", "degz": 8, "h3": null, "sol": "1 8 224 10016 547936 33563008 2211981344 153473130112 11062214390368 821152908493568", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 49 -392 -2646 -7126 -8960 -6328 28000 124040 255852 312896 188624 -634816 -2776032 -4988032 -4829952 -2471168 7218688 30080256 49575168 41109504 16892928 -42344448 -168603648 -259612672 -192053248 -64356352 119799808 467927040 693960704 476577792 136839168 -142606336 -574619648 -864026624 -578813952 -150994944 67108864 268435456 402653184 268435456 67108864", "new_number": "8.43", "id": 489, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(452\\theta^4+640\\theta^3+509\\theta^2+189\\theta+28\\right)+2^{2} x^{2}\\left(47156\\theta^4+78224\\theta^3+63963\\theta^2+31010\\theta+7000\\right)-2^{5} x^{3}\\left(77224\\theta^4+150936\\theta^3+155876\\theta^2+86751\\theta+19838\\right)+2^{8} x^{4}\\left(65988\\theta^4+160584\\theta^3+193653\\theta^2+117501\\theta+28198\\right)-2^{12} x^{5}\\left(15712\\theta^4+46888\\theta^3+63382\\theta^2+41163\\theta+10338\\right)+2^{16} x^{6}\\left(2088\\theta^4+7272\\theta^3+10589\\theta^2+7140\\theta+1828\\right)-2^{22} x^{7}\\left(36\\theta^4+138\\theta^3+206\\theta^2+137\\theta+34\\right)+2^{26} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "66/7 8716/7", "discriminant": "8 49 -6328 188624 -2471168 16892928 -64356352 136839168 -150994944 67108864", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "923554dba37f79c41bf0f67b875c36f7", "dim_h": null, "inst": " 66/7 573/7 8716/7 197852/7 5617614/7 181938998/7 6461182982/7 35092617104 9839912329042/7 410745132222403/7", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "(1-96z+256z^2)(4z-1)^2(128z^2-88z+7)^2", "discr_factors": "67108864, (z^2-11/16*z+7/128)^2, 1/256-3/8*z+z^2, (z-1/4)^2", "dm_basis": null, "q": "0 1 -22 89 -1604 -31716 -1360006 -53763318 -2282542360 -100929896284", "yuk": "1 66/7 4650/7 235398/7 12667178/7 702201816/7 39299063550/7 2216185762892/7 125771952367914/7 1024756584015288", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16-1/8*2^(1/2)","im":"0","approx_re":"0.010723","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/32-1/32*65^(1/2)","im":"0","approx_re":"0.091804","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16+1/8*2^(1/2)","im":"0","approx_re":"0.364277","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/32+1/32*65^(1/2)","im":"0","approx_re":"0.595696","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1152*X^4-192*X^3-256*X^2-160*X-32, 534528*X^4+276480*X^3+333056*X^2+146944*X+23808, -128712704*X^4-130744320*X^3-139182080*X^2-63774720*X-11313152, 17298358272*X^4+27097300992*X^3+28266725376*X^2+13632798720*X+2556952576, -1295603728384*X^4-2650129039360*X^3-2791930068992*X^2-1360447668224*X-255869321216, 50633369452544*X^4+118541097369600*X^3+120502823682048*X^2+54619099103232*X+9540196106240, -869713697570816*X^4-2247401767174144*X^3-2503313098539008*X^2-1379612214951936*X-307863255777280, 3448068464705536*(X+1)^4]", "text": "This is operator \"8.44\" from ...", "degz": 8, "h3": null, "sol": "1 32 2096 172544 15870736 1559276032 160054348544 16950443548672 1837683501894928 202898418734838272", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 -32 -160 -256 -192 -1152 23808 146944 333056 276480 534528 -11313152 -63774720 -139182080 -130744320 -128712704 2556952576 13632798720 28266725376 27097300992 17298358272 -255869321216 -1360447668224 -2791930068992 -2650129039360 -1295603728384 9540196106240 54619099103232 120502823682048 118541097369600 50633369452544 -307863255777280 -1379612214951936 -2503313098539008 -2247401767174144 -869713697570816 3448068464705536 13792273858822144 20688410788233216 13792273858822144 3448068464705536", "new_number": "8.44", "id": 490, "operator_tex": "\\theta^4-2^{5} x\\left(36\\theta^4+6\\theta^3+8\\theta^2+5\\theta+1\\right)+2^{8} x^{2}\\left(2088\\theta^4+1080\\theta^3+1301\\theta^2+574\\theta+93\\right)-2^{13} x^{3}\\left(15712\\theta^4+15960\\theta^3+16990\\theta^2+7785\\theta+1381\\right)+2^{18} x^{4}\\left(65988\\theta^4+103368\\theta^3+107829\\theta^2+52005\\theta+9754\\right)-2^{24} x^{5}\\left(77224\\theta^4+157960\\theta^3+166412\\theta^2+81089\\theta+15251\\right)+2^{30} x^{6}\\left(47156\\theta^4+110400\\theta^3+112227\\theta^2+50868\\theta+8885\\right)-2^{38} 7 x^{7}\\left(452\\theta^4+1168\\theta^3+1301\\theta^2+717\\theta+160\\right)+2^{46} 7^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "-64 -131904", "discriminant": "8 1 -1152 534528 -128712704 17298358272 -1295603728384 50633369452544 -869713697570816 3448068464705536", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2d570a3dc1cbc5b6596272f33b48fc98", "dim_h": null, "inst": " -64 -2084 -131904 -10745878 -1015115456 -105793050452 -11816074995264 -1389140511529039 -169882887296828928 -21436003799740611660", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "(1-192z+1024z^2)(128z-1)^2(14336z^2-352z+1)^2", "discr_factors": "3448068464705536, (z^2-11/448*z+1/14336)^2, 1/1024-3/16*z+z^2, (z-1/128)^2", "dm_basis": null, "q": "0 1 -32 640 28672 3475888 440300544 57936946176 7820948340736 1078701695219864", "yuk": "1 -64 -16736 -3561472 -687752928 -126889432064 -22851302475776 -4052913723375616 -711239942590620896 -123844624839391849984", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"11/896-1/896*65^(1/2)","im":"0","approx_re":"0.003279","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/16*2^(1/2)","im":"0","approx_re":"0.005362","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"11/896+1/896*65^(1/2)","im":"0","approx_re":"0.021275","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/16*2^(1/2)","im":"0","approx_re":"0.182138","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[1849*X^4, -43*X*(142*X^3+890*X^2+574*X+129), -647269*X^4-2441818*X^3-3538503*X^2-2423953*X-650848, -7200000*X^4-34423908*X^3-65337898*X^2-57379329*X-19251960, -37610765*X^4-220029964*X^3-499781264*X^2-511393545*X-194039928, -2*(X+1)*(54978121*X^3+324737370*X^2+665066226*X+466789876), -(X+1)*(X+2)*(185181547*X^2+915931425*X+1176131796), -1212*(X+3)*(X+2)*(X+1)*(138979*X+413408), -64266300*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.51\" from ...", "degz": 8, "h3": null, "sol": "1 0 22 204 3474 57000 1031080 19368720 377712370 7565838000", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1849 0 -5547 -24682 -38270 -6106 -650848 -2423953 -3538503 -2441818 -647269 -19251960 -57379329 -65337898 -34423908 -7200000 -194039928 -511393545 -499781264 -220029964 -37610765 -933579752 -2263712204 -1979607192 -759430982 -109956242 -2352263592 -5360258238 -4294289165 -1471476066 -185181547 -3006302976 -6522210744 -4859171004 -1511705784 -168442548 -1542391200 -3213315000 -2249320500 -642663000 -64266300", "new_number": "8.51", "id": 498, "operator_tex": "43^{2} \\theta^4-43 x\\theta(142\\theta^3+890\\theta^2+574\\theta+129)-x^{2}\\left(647269\\theta^4+2441818\\theta^3+3538503\\theta^2+2423953\\theta+650848\\right)-x^{3}\\left(7200000\\theta^4+34423908\\theta^3+65337898\\theta^2+57379329\\theta+19251960\\right)-x^{4}\\left(37610765\\theta^4+220029964\\theta^3+499781264\\theta^2+511393545\\theta+194039928\\right)-2 x^{5}(\\theta+1)(54978121\\theta^3+324737370\\theta^2+665066226\\theta+466789876)-x^{6}(\\theta+1)(\\theta+2)(185181547\\theta^2+915931425\\theta+1176131796)-2^{2} 3 101 x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(138979\\theta+413408)-2^{2} 3^{2} 5^{2} 7 101^{2} x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "58/43 1024/43", "discriminant": "8 1849 -6106 -647269 -7200000 -37610765 -109956242 -185181547 -168442548 -64266300", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "85b9064701880ae8e0518e47cff1b030", "dim_h": null, "inst": " 58/43 211/43 1024/43 7544/43 64880/43 642512/43 6932348/43 80121364/43 974406940/43 12346791976/43", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(7z+1)(25z-1)(2z+1)^2(101z+43)^2(3z+1)^2", "discr_factors": "-64266300, (z+1/3)^2, (z+1/2)^2, (z+43/101)^2, z+1/7, z-1/25", "dm_basis": null, "q": "0 1 -3 -32 -33 135 -3440 -63577 -746051 -9406920", "yuk": "1 58/43 1746/43 27706/43 484562/43 188606 138811986/43 2377795422/43 41022622930/43 710342686966/43", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-43/101","im":"0","approx_re":"-0.425742574257","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/7","im":"0","approx_re":"-0.142857142857","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"0","approx_re":"0.04","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 2816*X^4-512*X^3+64*X^2+320*X+80, 2621440*X^4+1048576*X^3+2785280*X^2+917504*X+110592, 922746880*X^4+2717908992*X^3+2499805184*X^2+1459617792*X+356515840, 124554051584*X^4+1099511627776*X^3+1726576852992*X^2+1151051235328*X+301721452544, -8796093022208*X^4+123145302310912*X^3+436506116227072*X^2+385928581349376*X+120121645334528, -5629499534213120*X^4-20266198323167232*X^3+6192449487634432*X^2+27021597764222976*X+12596005207801856, -288230376151711744*X^4-4035225266123964416*X^3-8070450532247928832*X^2-6052837899185946624*X-1585267068834414592, 73786976294838206464*(X+1)^4]", "text": "This is operator \"8.52\" from ...", "degz": 8, "h3": null, "sol": "1 -80 6928 -597248 95243536 -28956980480 7986476089600 -1683104643338240 279503410283322640 -43551775862241793280", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 80 320 64 -512 2816 110592 917504 2785280 1048576 2621440 356515840 1459617792 2499805184 2717908992 922746880 301721452544 1151051235328 1726576852992 1099511627776 124554051584 120121645334528 385928581349376 436506116227072 123145302310912 -8796093022208 12596005207801856 27021597764222976 6192449487634432 -20266198323167232 -5629499534213120 -1585267068834414592 -6052837899185946624 -8070450532247928832 -4035225266123964416 -288230376151711744 73786976294838206464 295147905179352825856 442721857769029238784 295147905179352825856 73786976294838206464", "new_number": "8.52", "id": 499, "operator_tex": "\\theta^4+2^{4} x\\left(176\\theta^4-32\\theta^3+4\\theta^2+20\\theta+5\\right)+2^{12} x^{2}\\left(640\\theta^4+256\\theta^3+680\\theta^2+224\\theta+27\\right)+2^{22} x^{3}\\left(220\\theta^4+648\\theta^3+596\\theta^2+348\\theta+85\\right)+2^{30} x^{4}\\left(116\\theta^4+1024\\theta^3+1608\\theta^2+1072\\theta+281\\right)-2^{38} x^{5}\\left(32\\theta^4-448\\theta^3-1588\\theta^2-1404\\theta-437\\right)-2^{46} x^{6}\\left(80\\theta^4+288\\theta^3-88\\theta^2-384\\theta-179\\right)-2^{57} x^{7}\\left(2\\theta^4+28\\theta^3+56\\theta^2+42\\theta+11\\right)+2^{66} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "416 9734432", "discriminant": "8 1 2816 2621440 922746880 124554051584 -8796093022208 -5629499534213120 -288230376151711744 73786976294838206464", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "87729f275f24cb2daf88133571476576", "dim_h": null, "inst": " 416 -52752 9734432 -2404009688 687625871328 -217118709400784 73338593607948448 -26035652821989456984 9601842176969903024896 -3649624408522473126874544", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "(1+256z+65536z^2)(256z+1)^2(131072z^2-1024z-1)^2", "discr_factors": "73786976294838206464, 1/65536+1/256*z+z^2, (z^2-1/128*z-1/131072)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 0 20320 -4311040 1648867888 -592819957760 230549894795776 -92139926455320576 37832399858049845912", "yuk": "1 416 -421600 262830080 -153857041632 85953233916416 -46897640968161280 25155137607526318080 -13330254245012459017440 6999742947011059567979264", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"-1/512*3^(1/2)","approx_re":"-0.001953125","approx_im":"-0.003383","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"1/512*3^(1/2)","approx_re":"-0.001953125","approx_im":"0.003383","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256-1/512*6^(1/2)","im":"0","approx_re":"-0.000878","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256+1/512*6^(1/2)","im":"0","approx_re":"0.00869","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -64*X^4+640*X^3+512*X^2+192*X+32, -20480*X^4-8192*X^3+120832*X^2+86016*X+23296, -524288*X^4-9437184*X^3+851968*X^2+4915200*X+2310144, 121634816*X^4-587202560*X^3-805306368*X^2-486539264*X-95420416, 14763950080*X^4+15569256448*X^3-1879048192*X^2-14763950080*X-6375342080, 687194767360*X^4+2473901162496*X^3+4028679323648*X^2+3143916060672*X+930934161408, 12094627905536*X^4+50577534877696*X^3+79439715106816*X^2+54150947667968*X+13537736916992, 70368744177664*(X+1)^4]", "text": "This is operator \"8.53\" from ...", "degz": 8, "h3": null, "sol": "1 -32 1168 -43520 1777936 -88044032 5065771264 -295547150336 16184017108240 -837789769974272", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 32 192 512 640 -64 23296 86016 120832 -8192 -20480 2310144 4915200 851968 -9437184 -524288 -95420416 -486539264 -805306368 -587202560 121634816 -6375342080 -14763950080 -1879048192 15569256448 14763950080 930934161408 3143916060672 4028679323648 2473901162496 687194767360 13537736916992 54150947667968 79439715106816 50577534877696 12094627905536 70368744177664 281474976710656 422212465065984 281474976710656 70368744177664", "new_number": "8.53", "id": 500, "operator_tex": "\\theta^4-2^{5} x\\left(2\\theta^4-20\\theta^3-16\\theta^2-6\\theta-1\\right)-2^{8} x^{2}\\left(80\\theta^4+32\\theta^3-472\\theta^2-336\\theta-91\\right)-2^{14} x^{3}\\left(32\\theta^4+576\\theta^3-52\\theta^2-300\\theta-141\\right)+2^{20} x^{4}\\left(116\\theta^4-560\\theta^3-768\\theta^2-464\\theta-91\\right)+2^{26} x^{5}\\left(220\\theta^4+232\\theta^3-28\\theta^2-220\\theta-95\\right)+2^{30} x^{6}\\left(640\\theta^4+2304\\theta^3+3752\\theta^2+2928\\theta+867\\right)+2^{36} x^{7}\\left(176\\theta^4+736\\theta^3+1156\\theta^2+788\\theta+197\\right)+2^{46} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "-64 -64320", "discriminant": "8 1 -64 -20480 -524288 121634816 14763950080 687194767360 12094627905536 70368744177664", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0714a480e1c587ebada71771f7e3b555", "dim_h": null, "inst": " -64 -1604 -64320 -3255802 -191614656 -12464539636 -868855080512 -63674279873218 -4847597834984960 -380343970931855788", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "(1+64z+4096z^2)(64z+1)^2(2048z^2+128z-1)^2", "discr_factors": "70368744177664, (z+1/64)^2, (z^2+1/16*z-1/2048)^2, 1/4096+1/64*z+z^2", "dm_basis": null, "q": "0 1 64 4896 401408 33915696 2926147584 256722484736 22834572820480 2054278570450584", "yuk": "1 -64 -12896 -1736704 -208384224 -23951832064 -2692342310912 -298017292615680 -32601231503471840 -3533898821705772544", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32-1/64*6^(1/2)","im":"0","approx_re":"-0.069523","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"-1/128*3^(1/2)","approx_re":"-0.0078125","approx_im":"-0.013532","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"1/128*3^(1/2)","approx_re":"-0.0078125","approx_im":"0.013532","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32+1/64*6^(1/2)","im":"0","approx_re":"0.007023","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, X*(3*X^3-6*X^2-4*X-1), -211*X^4-856*X^3-1433*X^2-1184*X-384, -1522*X^4-6576*X^3-12954*X^2-13308*X-5400, 4*(X+1)*(2013*X^3+17379*X^2+40726*X+28548), 8*(X+1)*(15719*X^3+126105*X^2+325408*X+269508), 288*(X+1)*(X+2)*(1817*X^2+11967*X+19631), 10368*(X+3)*(X+2)*(X+1)*(89*X+350), 594432*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.54\" from ...", "degz": 8, "h3": null, "sol": "1 0 24 72 1296 8640 103560 932400 10135440 102291840", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1 0 -1 -4 -6 3 -384 -1184 -1433 -856 -211 -5400 -13308 -12954 -6576 -1522 114192 277096 232420 77568 8052 2156064 4759328 3612104 1134592 125752 11307456 23854176 17039808 5016384 523296 21772800 45453312 31923072 9165312 922752 14266368 29721600 20805120 5944320 594432", "new_number": "8.54", "id": 501, "operator_tex": "\\theta^4+x\\theta(3\\theta^3-6\\theta^2-4\\theta-1)-x^{2}\\left(211\\theta^4+856\\theta^3+1433\\theta^2+1184\\theta+384\\right)-2 x^{3}\\left(761\\theta^4+3288\\theta^3+6477\\theta^2+6654\\theta+2700\\right)+2^{2} x^{4}(\\theta+1)(2013\\theta^3+17379\\theta^2+40726\\theta+28548)+2^{3} x^{5}(\\theta+1)(15719\\theta^3+126105\\theta^2+325408\\theta+269508)+2^{5} 3^{2} x^{6}(\\theta+1)(\\theta+2)(1817\\theta^2+11967\\theta+19631)+2^{7} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(89\\theta+350)+2^{9} 3^{3} 43 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "0 1/3", "discriminant": "8 1 3 -211 -1522 8052 125752 523296 922752 594432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bb80872017d0578a4ae56172666b807c", "dim_h": null, "inst": " 0 1/2 1/3 -1 2 493/36 69/7 -62 737/3 1463", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(4z+1)(6z+1)(43z^2+13z+1)(2z+1)^2(12z-1)^2", "discr_factors": "594432, z+1/6, z^2+13/43*z+1/43, (z-1/12)^2, z+1/4, (z+1/2)^2", "dm_basis": null, "q": "0 1 -1 -25 5 730 631 -20569 -40309 559198", "yuk": "1 0 4 9 -60 250 2971 3381 -31804 179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/86","im":"-1/86*3^(1/2)","approx_re":"-0.151162790698","approx_im":"-0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/86","im":"1/86*3^(1/2)","approx_re":"-0.151162790698","approx_im":"0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, 17*X*(165*X^3-114*X^2-74*X-17), -20619*X^4-122880*X^3-175353*X^2-126480*X-36992, -403714*X^4-1707888*X^3-2875346*X^2-2348244*X-751944, -2285100*X^4-10846464*X^3-21206284*X^2-19426696*X-6777488, -24*(X+1)*(295815*X^3+1523993*X^2+2924668*X+1983212), -32*(X+1)*(X+2)*(558823*X^2+2951265*X+4136951), -14208*(X+3)*(X+2)*(X+1)*(2797*X+9878), -44158464*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.68\" from ...", "degz": 8, "h3": null, "sol": "1 0 8 24 288 1920 18440 159600 1533280 14622720", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 289 0 -289 -1258 -1938 2805 -36992 -126480 -175353 -122880 -20619 -751944 -2348244 -2875346 -1707888 -403714 -6777488 -19426696 -21206284 -10846464 -2285100 -47597088 -117789120 -106767864 -43675392 -7099560 -264764864 -586028256 -451468544 -148087488 -17882336 -842079744 -1782251520 -1279217280 -378785280 -39739776 -1059803136 -2207923200 -1545546240 -441584640 -44158464", "new_number": "8.68", "id": 516, "operator_tex": "17^{2} \\theta^4+17 x\\theta(165\\theta^3-114\\theta^2-74\\theta-17)-x^{2}\\left(20619\\theta^4+122880\\theta^3+175353\\theta^2+126480\\theta+36992\\right)-2 x^{3}\\left(201857\\theta^4+853944\\theta^3+1437673\\theta^2+1174122\\theta+375972\\right)-2^{2} x^{4}\\left(571275\\theta^4+2711616\\theta^3+5301571\\theta^2+4856674\\theta+1694372\\right)-2^{3} 3 x^{5}(\\theta+1)(295815\\theta^3+1523993\\theta^2+2924668\\theta+1983212)-2^{5} x^{6}(\\theta+1)(\\theta+2)(558823\\theta^2+2951265\\theta+4136951)-2^{7} 3 37 x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(2797\\theta+9878)-2^{9} 3^{2} 7 37^{2} x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "6/17 33/17", "discriminant": "8 289 2805 -20619 -403714 -2285100 -7099560 -17882336 -39739776 -44158464", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0c0662f5b46ac6cb0bd298a63cf364c7", "dim_h": null, "inst": " 6/17 25/34 33/17 157/17 577/17 6115/34 15779/17 93410/17 553816/17 7017071/34", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "-(12z-1)(6z+1)(7z^2-z+1)(4z+1)^2(74z+17)^2", "discr_factors": "-44158464, z-1/12, z+1/6, (z+17/74)^2, z^2-1/7*z+1/7, (z+1/4)^2", "dm_basis": null, "q": "0 1 -1 -10 -5 -10 -120 -620 -5381 -41914", "yuk": "1 6/17 106/17 897/17 10154/17 4243 661417/17 5412203/17 47836074/17 403732761/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/74","im":"0","approx_re":"-0.22972972973","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/14","im":"-3/14*3^(1/2)","approx_re":"0.0714285714286","approx_im":"-0.371154","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/14","im":"3/14*3^(1/2)","approx_re":"0.0714285714286","approx_im":"0.371154","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*X*(22*X^3+14*X^2+9*X+2), 1744*X^4-1184*X^3-4688*X^2-4128*X-1280, 9984*X^4+105984*X^3+172544*X^2+129024*X+36864, -414720*X^4-1198080*X^3-1352704*X^2-434176*X+106496, -16384*(X+1)*(12*X^3+558*X^2+1495*X+1255), 65536*(X+1)*(X+2)*(467*X^2+1593*X+1540), -5242880*(X+3)*(X+2)*(X+1)*(X-40), -734003200*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.74\" from ...", "degz": 8, "h3": null, "sol": "1 0 80 1536 56592 2065920 82730240 3464724480 150634585360 6736953431040", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 1 0 -8 -36 -56 -88 -1280 -4128 -4688 -1184 1744 36864 129024 172544 105984 9984 106496 -434176 -1352704 -1198080 -414720 -20561920 -45056000 -33636352 -9338880 -196608 201850880 511574016 475332608 196214784 30605312 1258291200 2275409920 1200619520 178257920 -5242880 -17616076800 -36700160000 -25690112000 -7340032000 -734003200", "new_number": "8.74", "id": 523, "operator_tex": "\\theta^4-2^{2} x\\theta(22\\theta^3+14\\theta^2+9\\theta+2)+2^{4} x^{2}\\left(109\\theta^4-74\\theta^3-293\\theta^2-258\\theta-80\\right)+2^{8} x^{3}\\left(39\\theta^4+414\\theta^3+674\\theta^2+504\\theta+144\\right)-2^{10} x^{4}\\left(405\\theta^4+1170\\theta^3+1321\\theta^2+424\\theta-104\\right)-2^{14} x^{5}(\\theta+1)(12\\theta^3+558\\theta^2+1495\\theta+1255)+2^{16} x^{6}(\\theta+1)(\\theta+2)(467\\theta^2+1593\\theta+1540)-2^{20} 5 x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(\\theta-40)-2^{22} 5^{2} 7 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "4 436", "discriminant": "8 1 -88 1744 9984 -414720 -196608 30605312 -5242880 -734003200", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a0fbd8561e58a032d489a1dabee1e026", "dim_h": null, "inst": " 4 71/2 436 6728 127212 5573691/2 67561060 1758612780 48269531104 2762033837149/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+56z)(20z-1)^2(8z-1)^2(8z+1)^3", "discr_factors": "-734003200, (z-1/8)^2, (z-1/20)^2, -1/56+z, (z+1/8)^3", "dm_basis": null, "q": "0 1 -8 -96 -256 -10192 -315648 -7842304 -224575488 -6845562216", "yuk": "1 4 288 11776 430880 15901504 601970688 23173443584 900410174240 35188488186592", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","0","-1/4","1/4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/56","im":"0","approx_re":"0.0178571428571","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/20","im":"0","approx_re":"0.05","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -3380*X^4-4120*X^3-3710*X^2-1650*X-300, 185584*X^4+413632*X^3+501164*X^2+305480*X+76320, -5544384*X^4-17179008*X^3-25159152*X^2-18009840*X-5113440, 99910656*X^4+385357824*X^3+644136192*X^2+508886784*X+154972224, -1120960512*X^4-5065998336*X^3-9322573824*X^2-7852363776*X-2491250688, 7686586368*X^4+39154876416*X^3+77370163200*X^2+67974266880*X+22084337664, -509607936*(X+1)^2*(58*X^2+208*X+201), 48922361856*(X+1)^2*(X+2)^2]", "text": "This is operator \"8.79\" from ...", "degz": 8, "h3": null, "sol": "1 12 204 4368 112140 3300912 107091024 3718116288 135443387916 5110962695760", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 25 -300 -1650 -3710 -4120 -3380 76320 305480 501164 413632 185584 -5113440 -18009840 -25159152 -17179008 -5544384 154972224 508886784 644136192 385357824 99910656 -2491250688 -7852363776 -9322573824 -5065998336 -1120960512 22084337664 67974266880 77370163200 39154876416 7686586368 -102431195136 -310860840960 -343985356800 -165112971264 -29557260288 195689447424 587068342272 635990704128 293534171136 48922361856", "new_number": "8.79", "id": 528, "operator_tex": "5^{2} \\theta^4-2 5 x\\left(338\\theta^4+412\\theta^3+371\\theta^2+165\\theta+30\\right)+2^{2} x^{2}\\left(46396\\theta^4+103408\\theta^3+125291\\theta^2+76370\\theta+19080\\right)-2^{4} 3 x^{3}\\left(115508\\theta^4+357896\\theta^3+524149\\theta^2+375205\\theta+106530\\right)+2^{6} 3^{2} x^{4}\\left(173456\\theta^4+669024\\theta^3+1118292\\theta^2+883484\\theta+269049\\right)-2^{11} 3^{3} x^{5}\\left(20272\\theta^4+91616\\theta^3+168594\\theta^2+142006\\theta+45053\\right)+2^{14} 3^{4} x^{6}\\left(5792\\theta^4+29504\\theta^3+58300\\theta^2+51220\\theta+16641\\right)-2^{21} 3^{5} x^{7}(\\theta+1)^2(58\\theta^2+208\\theta+201)+2^{26} 3^{6} x^{8}(\\theta+1)^2(\\theta+2)^2", "superseek": "22/5 68", "discriminant": "8 25 -3380 185584 -5544384 99910656 -1120960512 7686586368 -29557260288 48922361856", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "064e5b590dd8b6a4daa1e905fbe693c2", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(-1+48z)(16z-1)^2(48z-5)^2(12z-1)^3", "discr_factors": "48922361856, (z-1/12)^3, (z-1/16)^2, -1/48+z, (z-5/48)^2", "dm_basis": null, "q": "0 1 -18 233 -2988 33412 -382914 3792338 -42902088 352614016", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/48","im":"0","approx_re":"0.104166666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, 1776*X^4+2976*X^3+2676*X^2+1188*X+216, 143872*X^4+394240*X^3+539008*X^2+346752*X+86400, 6897664*X^4+19955712*X^3+28913664*X^2+22007808*X+6266880, 239599616*X^4+649068544*X^3+671744000*X^2+366870528*X+78512128, 6039797760*X^4+16710107136*X^3+17632854016*X^2+5796528128*X-109051904, 107374182400*X^4+270582939648*X^3+359166640128*X^2+209379655680*X+44560285696, 1374389534720*X^4+3573412790272*X^3+4054449127424*X^2+2267742732288*X+515396075520, 8796093022208*(X+1)^4]", "text": "This is operator \"8.80\" from ...", "degz": 8, "h3": null, "sol": "1 -24 872 -37248 1740456 -86159424 4440663296 -235759116288 12803384026792 -707813470774464", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 9 216 1188 2676 2976 1776 86400 346752 539008 394240 143872 6266880 22007808 28913664 19955712 6897664 78512128 366870528 671744000 649068544 239599616 -109051904 5796528128 17632854016 16710107136 6039797760 44560285696 209379655680 359166640128 270582939648 107374182400 515396075520 2267742732288 4054449127424 3573412790272 1374389534720 8796093022208 35184372088832 52776558133248 35184372088832 8796093022208", "new_number": "8.80", "id": 530, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(148\\theta^4+248\\theta^3+223\\theta^2+99\\theta+18\\right)+2^{7} x^{2}\\left(1124\\theta^4+3080\\theta^3+4211\\theta^2+2709\\theta+675\\right)+2^{12} x^{3}\\left(1684\\theta^4+4872\\theta^3+7059\\theta^2+5373\\theta+1530\\right)+2^{17} x^{4}\\left(1828\\theta^4+4952\\theta^3+5125\\theta^2+2799\\theta+599\\right)+2^{23} x^{5}\\left(720\\theta^4+1992\\theta^3+2102\\theta^2+691\\theta-13\\right)+2^{29} x^{6}\\left(200\\theta^4+504\\theta^3+669\\theta^2+390\\theta+83\\right)+2^{35} x^{7}\\left(40\\theta^4+104\\theta^3+118\\theta^2+66\\theta+15\\right)+2^{43} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "-28/3 2764/3", "discriminant": "8 9 1776 143872 6897664 239599616 6039797760 107374182400 1374389534720 8796093022208", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "01b1872abfd55652952ae535920a40fe", "dim_h": null, "inst": " -28/3 49/3 2764/3 13414 44384 -8885861/3 -81850300 -812021314 41589680432/3 2127578374856/3", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(16z+1)(32z+1)(64z+1)^2(2048z^2+32z+3)^2", "discr_factors": "8796093022208, (z^2+1/64*z+3/2048)^2, z+1/16, (z+1/64)^2, z+1/32", "dm_basis": null, "q": "0 1 36 990 22224 397101 5031672 23346450 -740104128 -19032919290", "yuk": "1 -28/3 364/3 74600/3 2575852/3 16643972/3 -1919270984/3 -84223958728/3 -1247262162452/3 30318877109528/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"-1/128*23^(1/2)","approx_re":"-0.0078125","approx_im":"-0.037467","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"1/128*23^(1/2)","approx_re":"-0.0078125","approx_im":"0.037467","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 640*X^4+896*X^3+736*X^2+288*X+48, 204800*X^4+303104*X^3+365568*X^2+241664*X+59392, 47185920*X^4+58195968*X^3+29229056*X^2+27328512*X+8257536, 7667187712*X^4+9898557440*X^3+5188354048*X^2-390070272*X-834666496, 904090615808*X^4+1000727379968*X^3+1367410212864*X^2+464393338880*X+15032385536, 77240691851264*X^4+97306779058176*X^3+117853902602240*X^2+66589172957184*X+15187004358656, 3905465301860352*X^4+9077567998918656*X^3+9684498417451008*X^2+5145714417991680*X+1108307720798208, 81064793292668928*(X+1)^4]", "text": "This is operator \"8.81\" from ...", "degz": 8, "h3": null, "sol": "1 -48 4112 -470784 65066256 -10232187648 1761620390144 -323655077031936 62379658769915152 -12466167933398262528", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 1 48 288 736 896 640 59392 241664 365568 303104 204800 8257536 27328512 29229056 58195968 47185920 -834666496 -390070272 5188354048 9898557440 7667187712 15032385536 464393338880 1367410212864 1000727379968 904090615808 15187004358656 66589172957184 117853902602240 97306779058176 77240691851264 1108307720798208 5145714417991680 9684498417451008 9077567998918656 3905465301860352 81064793292668928 324259173170675712 486388759756013568 324259173170675712 81064793292668928", "new_number": "8.81", "id": 531, "operator_tex": "\\theta^4+2^{4} x\\left(40\\theta^4+56\\theta^3+46\\theta^2+18\\theta+3\\right)+2^{10} x^{2}\\left(200\\theta^4+296\\theta^3+357\\theta^2+236\\theta+58\\right)+2^{16} x^{3}\\left(720\\theta^4+888\\theta^3+446\\theta^2+417\\theta+126\\right)+2^{22} x^{4}\\left(1828\\theta^4+2360\\theta^3+1237\\theta^2-93\\theta-199\\right)+2^{29} x^{5}\\left(1684\\theta^4+1864\\theta^3+2547\\theta^2+865\\theta+28\\right)+2^{36} x^{6}\\left(1124\\theta^4+1416\\theta^3+1715\\theta^2+969\\theta+221\\right)+2^{43} 3 x^{7}\\left(148\\theta^4+344\\theta^3+367\\theta^2+195\\theta+42\\right)+2^{53} 3^{2} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "-64 54464", "discriminant": "8 1 640 204800 47185920 7667187712 904090615808 77240691851264 3905465301860352 81064793292668928", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "3cc4cfea037192a297dc29928555ed1d", "dim_h": null, "inst": " -64 2380 54464 -1677212 -279711424 4006736476 880612121024 37648400346244 -5655979688414720 -187099219902460796", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(128z+1)(256z+1)(64z+1)^2(24576z^2+64z+1)^2", "discr_factors": "81064793292668928, (z+1/64)^2, z+1/128, z+1/256, (z^2+1/384*z+1/24576)^2", "dm_basis": null, "q": "0 1 96 5088 112640 -6503376 -322993152 26322614784 2924519817216 -100541400198504", "yuk": "1 -64 18976 1470464 -107322592 -34963928064 865456568320 302049957511168 19275980869954336 -4123209192852860416", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"0","approx_re":"-0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768","im":"-1/768*23^(1/2)","approx_re":"-0.00130208333333","approx_im":"-0.006245","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768","im":"1/768*23^(1/2)","approx_re":"-0.00130208333333","approx_im":"0.006245","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -X*(3*X^3-6*X^2-4*X-1), -211*X^4-856*X^3-1433*X^2-1184*X-384, 1522*X^4+6576*X^3+12954*X^2+13308*X+5400, 4*(X+1)*(2013*X^3+17379*X^2+40726*X+28548), -8*(X+1)*(15719*X^3+126105*X^2+325408*X+269508), 288*(X+1)*(X+2)*(1817*X^2+11967*X+19631), -10368*(X+3)*(X+2)*(X+1)*(89*X+350), 594432*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"8.82\" from ...", "degz": 8, "h3": null, "sol": "1 0 24 -72 1296 -8640 103560 -932400 10135440 -102291840", "n_discr_factors": "5", "c3": null, "operator": "4 8 0 0 0 0 1 0 1 4 6 -3 -384 -1184 -1433 -856 -211 5400 13308 12954 6576 1522 114192 277096 232420 77568 8052 -2156064 -4759328 -3612104 -1134592 -125752 11307456 23854176 17039808 5016384 523296 -21772800 -45453312 -31923072 -9165312 -922752 14266368 29721600 20805120 5944320 594432", "new_number": "8.82", "id": 532, "operator_tex": "\\theta^4-x\\theta(3\\theta^3-6\\theta^2-4\\theta-1)-x^{2}\\left(211\\theta^4+856\\theta^3+1433\\theta^2+1184\\theta+384\\right)+2 x^{3}\\left(761\\theta^4+3288\\theta^3+6477\\theta^2+6654\\theta+2700\\right)+2^{2} x^{4}(\\theta+1)(2013\\theta^3+17379\\theta^2+40726\\theta+28548)-2^{3} x^{5}(\\theta+1)(15719\\theta^3+126105\\theta^2+325408\\theta+269508)+2^{5} 3^{2} x^{6}(\\theta+1)(\\theta+2)(1817\\theta^2+11967\\theta+19631)-2^{7} 3^{4} x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(89\\theta+350)+2^{9} 3^{3} 43 x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "0 -1/3", "discriminant": "8 1 -3 -211 1522 8052 -125752 523296 -922752 594432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "8bab1ddc8b31cb2c21f01402f27895ce", "dim_h": null, "inst": " 0 1/2 -1/3 -1 -2 124/9 -69/7 -62 -737/3 2927/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(6z-1)(4z-1)(43z^2-13z+1)(12z+1)^2(-1+2z)^2", "discr_factors": "594432, (z+1/12)^2, (-1/2+z)^2, z-1/6, z-1/4, z^2-13/43*z+1/43", "dm_basis": null, "q": "0 1 1 -25 -5 730 -631 -20569 40309 559198", "yuk": "1 0 4 -9 -60 -250 2971 -3381 -31804 -179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"13/86","im":"-1/86*3^(1/2)","approx_re":"0.151162790698","approx_im":"-0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/86","im":"1/86*3^(1/2)","approx_re":"0.151162790698","approx_im":"0.02014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 18+84*X+147*X^2+126*X^3+279*X^4, 5724+24840*X+43308*X^2+35424*X^3+33156*X^4, 905904+3426300*X+5290596*X^2+4012416*X^3+2204496*X^4, 75827664+258870816*X+354993840*X^2+240744960*X^3+90559296*X^4, 3593958336+11356303680*X+14067203904*X^2+8432512128*X^3+2389673664*X^4, 97501708800+290600441856*X+331460460288*X^2+177407760384*X^3+40587920640*X^4, 1442390395392+4144729616640*X+4464716620032*X^2+2187666247680*X^3+427737729024*X^4, 14693280768*(X+1)*(172*X^3+804*X^2+1295*X+699), 1586874322944*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"9.7\" from ...", "degz": 9, "h3": null, "sol": "1 -18 378 -8676 213354 -5558868 151939044 -4315623624 126334972458 -3786769942452", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 1 18 84 147 126 279 5724 24840 43308 35424 33156 905904 3426300 5290596 4012416 2204496 75827664 258870816 354993840 240744960 90559296 3593958336 11356303680 14067203904 8432512128 2389673664 97501708800 290600441856 331460460288 177407760384 40587920640 1442390395392 4144729616640 4464716620032 2187666247680 427737729024 10270603256832 29298401851392 30841196332032 14340642029568 2527244292096 28563737812992 80930590470144 84104339116032 38084983750656 6347497291776", "new_number": "9.7", "id": 546, "operator_tex": "\\theta^4+3 x\\left(93\\theta^4+42\\theta^3+49\\theta^2+28\\theta+6\\right)+2^{2} 3^{3} x^{2}\\left(307\\theta^4+328\\theta^3+401\\theta^2+230\\theta+53\\right)+2^{2} 3^{5} x^{3}\\left(2268\\theta^4+4128\\theta^3+5443\\theta^2+3525\\theta+932\\right)+2^{4} 3^{7} x^{4}\\left(2588\\theta^4+6880\\theta^3+10145\\theta^2+7398\\theta+2167\\right)+2^{6} 3^{9} x^{5}\\left(1897\\theta^4+6694\\theta^3+11167\\theta^2+9015\\theta+2853\\right)+2^{8} 3^{11} x^{6}\\left(895\\theta^4+3912\\theta^3+7309\\theta^2+6408\\theta+2150\\right)+2^{8} 3^{13} x^{7}\\left(1048\\theta^4+5360\\theta^3+10939\\theta^2+10155\\theta+3534\\right)+2^{10} 3^{15} x^{8}(\\theta+1)(172\\theta^3+804\\theta^2+1295\\theta+699)+2^{12} 3^{18} x^{9}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "9 2564/3", "discriminant": "9 1 279 33156 2204496 90559296 2389673664 40587920640 427737729024 2527244292096 6347497291776", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9bb7a7f3a3d5f66018396173696c194c", "dim_h": null, "inst": " 9 -72 2564/3 -12924 228024 -13237444/3 91058778 -1971474678 132890850544/3 -1025101573128", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(27z+1)(432z^2+36z+1)(36z+1)^2(648z^2+72z+1)^2", "discr_factors": "6347497291776, z^2+1/12*z+1/432, (z+1/36)^2, (z^2+1/9*z+1/648)^2, z+1/27", "dm_basis": null, "q": "0 1 12 144 1156 15108 9504 2842754 -45948936 1357161642", "yuk": "1 9 -567 23085 -827703 28503009 -953073459 31233160863 -1009395862839 32292476705277", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/18-1/36*2^(1/2)","im":"0","approx_re":"-0.094839","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"-1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18+1/36*2^(1/2)","im":"0","approx_re":"-0.016272","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[961*X^4, -115568*X^2-5766-41323*X-87916*X^4-148490*X^3, -1539241*X^2-1291677*X-342550+558095*X^4-131134*X^3, 6495560*X^2+387046*X^4+6264048*X^3+558+2100591*X, 3388169*X-7521396*X^3-5037573*X^4+2030450-2351908*X^2, -15364512-4029792*X^4-46016116*X-49387934*X^2-22094682*X^3, 37321692*X+8697364+6817193*X^4+33832842*X^3+56561513*X^2, 137367032*X+53251748*X^3+132675510*X^2+7727038*X^4+50067160, 484*(3667*X^2+17036*X+18316)*(X+1)^2, 117128*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.9\" from ...", "degz": 9, "h3": null, "sol": "1 6 178 7404 370674 20685156 1239772156 78155796648 5115756781234 344734928494044", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 961 -5766 -41323 -115568 -148490 -87916 -342550 -1291677 -1539241 -131134 558095 558 2100591 6495560 6264048 387046 2030450 3388169 -2351908 -7521396 -5037573 -15364512 -46016116 -49387934 -22094682 -4029792 8697364 37321692 56561513 33832842 6817193 50067160 137367032 132675510 53251748 7727038 8864944 25975312 27130620 11795080 1774828 468512 1405536 1522664 702768 117128", "new_number": "9.9", "id": 548, "operator_tex": "31^{2} \\theta^4-31 x\\left(2836\\theta^4+4790\\theta^3+3728\\theta^2+1333\\theta+186\\right)-x^{2}\\left(1539241\\theta^2+1291677\\theta+342550-558095\\theta^4+131134\\theta^3\\right)+x^{3}\\left(6495560\\theta^2+387046\\theta^4+6264048\\theta^3+558+2100591\\theta\\right)+x^{4}\\left(3388169\\theta-7521396\\theta^3-5037573\\theta^4+2030450-2351908\\theta^2\\right)-2 x^{5}\\left(2014896\\theta^4+11047341\\theta^3+24693967\\theta^2+23008058\\theta+7682256\\right)+x^{6}\\left(37321692\\theta+8697364+6817193\\theta^4+33832842\\theta^3+56561513\\theta^2\\right)+2 11 x^{7}\\left(351229\\theta^4+2420534\\theta^3+6030705\\theta^2+6243956\\theta+2275780\\right)+2^{2} 11^{2} x^{8}(3667\\theta^2+17036\\theta+18316)(\\theta+1)^2+2^{3} 11^{4} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "256/31 28062/31", "discriminant": "9 961 -87916 558095 387046 -5037573 -4029792 6817193 7727038 1774828 117128", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "924a831431fc249044fe63cfea0eb535", "dim_h": null, "inst": " 256/31 1982/31 28062/31 591475/31 15400630/31 457045532/31 14876658050/31 518347106445/31 19026808879462/31 727762687352558/31", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(2z+1)(121z^2-86z+1)(z+1)^2(22z^2+147z-31)^2", "discr_factors": "117128, (z^2+147/22*z-31/22)^2, z^2-86/121*z+1/121, (z+1)^2, z+1/2", "dm_basis": null, "q": "0 1 -19 17 -325 -28465 -890463 -32285022 -1259241307 -51044658671", "yuk": "1 256/31 16112/31 757930/31 37870512/31 1925079006/31 98722608698/31 5102693711406/31 265393756370352/31 13870543673885728/31", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-147/44-1/44*24337^(1/2)","im":"0","approx_re":"-6.886436","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"43/121-24/121*3^(1/2)","im":"0","approx_re":"0.011825","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-147/44+1/44*24337^(1/2)","im":"0","approx_re":"0.204618","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"43/121+24/121*3^(1/2)","im":"0","approx_re":"0.698919","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 52*X^4-36*X-142*X^3-5-107*X^2, -620*X-8686*X^3-170-2477*X^2-1603*X^4, -176364*X^3-28128-115684*X^4-107172*X-179846*X^2, -2697348*X^3-3016956*X-1218741*X^4-4034478*X^2-1011862, 4154284*X^4-36611635*X^2-9502094*X^3-20359939-44530432*X, -337605744*X+48775967*X^4-194246629*X^2+5346306*X^3-193227408, 1834819252*X^2+732766088*X^3+167615480-81033884*X^4+1330400376*X, 8843594720-530605176*X^4+12329368000*X^2+3290829840*X^3+17044032104*X, 52142471520*X+102410016*X^4+44516059584-12650632320*X^3+7678387008*X^2, -113240151616*X-2300538544*X^4+8037224000-157739951984*X^2-64858248224*X^3, 23454468224*X^3+17711114624*X^4-851620651520*X-497818095616-423682328576*X^2, 25572802432*X^2-1960641616512*X+553275174912*X^3-2129928794880+63549659904*X^4, 3419115054848*X^2+1126718028288*X^3-74174326272*X^4+1893637313024*X-1632016770304, -405640952832*X^4+34346440342528*X+23662293484544+1366012434432*X^3+16267249525760*X^2, 36331219286016-8088911224832*X^2-9084188160000*X^3+23066675226624*X-929755009024*X^4, -203249261727744-173302730383360*X^2-304993877884928*X-933008961536*X^4-40275221905408*X^3, -335411436060672+6517476294656*X^4-126719366856704*X^2-370189911228416*X+385719074816*X^3, 224186557267968*X^3+1344074774740992*X+25105948213248*X^4+946285303234560+783293874962432*X^2, 317857646772224*X^3+1363345018454016*X^2+25007003533312*X^4+2700892872900608*X+2124886003810304, -1489886583455744*X-797290043801600*X^2-220195207512064*X^3-28377776914432*X^4-1130775439212544, -8351257536233472*X-4026312677130240*X^2-6834628885217280-921713541906432*X^3-84314532347904*X^4, -6583558193807360*X-2901251171811328*X^2-5846210359328768-46061343211520*X^4-594665317335040*X^3, 598721494515712*X^3+56388122312704*X^4+3840804627939328+5092578726772736*X+2566570215735296*X^2, 5243962298204160*X^2+1070077008936960*X^3+86776022564864*X^4+11960745587638272*X+10552025020366848, 6049551093858304+2080387400466432*X^2+336299697373184*X^3+5787047658782720*X+20299626053632*X^4, -35924448641024*X^4-412555767971840*X^3-1793183474253824*X^2-2231529447096320-3373225438347264*X, -400533617639424*X^3-4429054564368384-2109440975175680*X^2-4981003495931904*X-29104845881344*X^4, -3521873182720*X^4-76029511073792*X^3-1564933611323392*X-535762810437632*X^2-1647401278373888, 5437428596736*X^4+65944927862784*X^3+460124141387776+608734304796672*X+300643415752704*X^2, 249262721990656*X^2+610074334593024*X+3212635537408*X^4+566626445426688+45870250721280*X^3, 170355582828544+11613591568384*X^3+67345087201280*X^2+755914244096*X^4+174513111171072*X, 68719476736*(X+4)^4]", "text": "This is operator \"32.1\" from ...", "degz": 32, "h3": null, "sol": "1 5 85 2033 56701 1752785 58076757 2021842785 73039269021 2715361462017", "n_discr_factors": "8", "c3": null, "operator": "4 32 0 0 0 0 1 -5 -36 -107 -142 52 -170 -620 -2477 -8686 -1603 -28128 -107172 -179846 -176364 -115684 -1011862 -3016956 -4034478 -2697348 -1218741 -20359939 -44530432 -36611635 -9502094 4154284 -193227408 -337605744 -194246629 5346306 48775967 167615480 1330400376 1834819252 732766088 -81033884 8843594720 17044032104 12329368000 3290829840 -530605176 44516059584 52142471520 7678387008 -12650632320 102410016 8037224000 -113240151616 -157739951984 -64858248224 -2300538544 -497818095616 -851620651520 -423682328576 23454468224 17711114624 -2129928794880 -1960641616512 25572802432 553275174912 63549659904 -1632016770304 1893637313024 3419115054848 1126718028288 -74174326272 23662293484544 34346440342528 16267249525760 1366012434432 -405640952832 36331219286016 23066675226624 -8088911224832 -9084188160000 -929755009024 -203249261727744 -304993877884928 -173302730383360 -40275221905408 -933008961536 -335411436060672 -370189911228416 -126719366856704 385719074816 6517476294656 946285303234560 1344074774740992 783293874962432 224186557267968 25105948213248 2124886003810304 2700892872900608 1363345018454016 317857646772224 25007003533312 -1130775439212544 -1489886583455744 -797290043801600 -220195207512064 -28377776914432 -6834628885217280 -8351257536233472 -4026312677130240 -921713541906432 -84314532347904 -5846210359328768 -6583558193807360 -2901251171811328 -594665317335040 -46061343211520 3840804627939328 5092578726772736 2566570215735296 598721494515712 56388122312704 10552025020366848 11960745587638272 5243962298204160 1070077008936960 86776022564864 6049551093858304 5787047658782720 2080387400466432 336299697373184 20299626053632 -2231529447096320 -3373225438347264 -1793183474253824 -412555767971840 -35924448641024 -4429054564368384 -4981003495931904 -2109440975175680 -400533617639424 -29104845881344 -1647401278373888 -1564933611323392 -535762810437632 -76029511073792 -3521873182720 460124141387776 608734304796672 300643415752704 65944927862784 5437428596736 566626445426688 610074334593024 249262721990656 45870250721280 3212635537408 170355582828544 174513111171072 67345087201280 11613591568384 755914244096 17592186044416 17592186044416 6597069766656 1099511627776 68719476736", "new_number": "32.1", "id": 616, "operator_tex": "\\theta^4+x\\left(52\\theta^4-36\\theta-142\\theta^3-5-107\\theta^2\\right)-x^{2}\\left(620\\theta+8686\\theta^3+170+2477\\theta^2+1603\\theta^4\\right)-2 x^{3}\\left(57842\\theta^4+88182\\theta^3+89923\\theta^2+53586\\theta+14064\\right)-x^{4}\\left(2697348\\theta^3+3016956\\theta+1218741\\theta^4+4034478\\theta^2+1011862\\right)+x^{5}\\left(4154284\\theta^4-36611635\\theta^2-9502094\\theta^3-20359939-44530432\\theta\\right)-x^{6}\\left(337605744\\theta-48775967\\theta^4+194246629\\theta^2-5346306\\theta^3+193227408\\right)-2^{2} x^{7}\\left(20258471\\theta^4-183191522\\theta^3-458704813\\theta^2-332600094\\theta-41903870\\right)-2^{3} x^{8}\\left(66325647\\theta^4-411353730\\theta^3-1541171000\\theta^2-2130504013\\theta-1105449340\\right)+2^{5} 3 x^{9}\\left(1066771\\theta^4-131777420\\theta^3+79983198\\theta^2+543150745\\theta+463708954\\right)-2^{4} x^{10}\\left(143783659\\theta^4+4053640514\\theta^3+9858746999\\theta^2+7077509476\\theta-502326500\\right)+2^{7} x^{11}\\left(138368083\\theta^4+183238033\\theta^3-3310018192\\theta^2-6653286340\\theta-3889203872\\right)+2^{7} x^{12}\\left(496481718\\theta^4+4322462304\\theta^3+199787519\\theta^2-15317512629\\theta-16640068710\\right)-2^{8} x^{13}\\left(289743462\\theta^4-4401242298\\theta^3-13355918183\\theta^2-7397020754\\theta+6375065509\\right)-2^{10} x^{14}\\left(396133743\\theta^4-1333996518\\theta^3-15885985865\\theta^2-33541445647\\theta-23107708481\\right)-2^{11} x^{15}\\left(453981938\\theta^4+4435638750\\theta^3+3949663684\\theta^2-11263025013\\theta-17739853167\\right)-2^{12} x^{16}\\left(227785391\\theta^4+9832817848\\theta^3+42310236910\\theta^2+74461395968\\theta+49621401789\\right)+2^{15} x^{17}\\left(198897592\\theta^4+11771212\\theta^3-3867168178\\theta^2-11297299537\\theta-10235944704\\right)+2^{16} x^{18}\\left(383086368\\theta^4+3420815388\\theta^3+11952116012\\theta^2+20508953472\\theta+14439167835\\right)+2^{17} x^{19}\\left(190788296\\theta^4+2425061392\\theta^3+10401497028\\theta^2+20606177314\\theta+16211593657\\right)-2^{19} x^{20}\\left(54126314\\theta^4+419989028\\theta^3+1520710075\\theta^2+2841733138\\theta+2156782988\\right)-2^{21} 3 x^{21}\\left(13401434\\theta^4+146502422\\theta^3+639965165\\theta^2+1327396637\\theta+1086335005\\right)-2^{22} x^{22}\\left(10981880\\theta^4+141779260\\theta^3+691712182\\theta^2+1569642590\\theta+1393845167\\right)+2^{23} x^{23}\\left(6721988\\theta^4+71373164\\theta^3+305959012\\theta^2+607082692\\theta+457859591\\right)+2^{24} x^{24}\\left(5172254\\theta^4+63781560\\theta^3+312564510\\theta^2+712915992\\theta+628949703\\right)+2^{27} x^{25}\\left(151244\\theta^4+2505628\\theta^3+15500094\\theta^2+43116865\\theta+45072668\\right)-2^{28} x^{26}\\left(133829\\theta^4+1536890\\theta^3+6680129\\theta^2+12566244\\theta+8313095\\right)-2^{29} x^{27}\\left(54212\\theta^4+746052\\theta^3+3929140\\theta^2+9277842\\theta+8249757\\right)-2^{31} x^{28}\\left(1640\\theta^4+35404\\theta^3+249484\\theta^2+728729\\theta+767131\\right)+2^{32} x^{29}\\left(1266\\theta^4+15354\\theta^3+69999\\theta^2+141732\\theta+107131\\right)+2^{34} x^{30}\\left(187\\theta^4+2670\\theta^3+14509\\theta^2+35511\\theta+32982\\right)+2^{35} x^{31}\\left(22\\theta^4+338\\theta^3+1960\\theta^2+5079\\theta+4958\\right)+2^{36} x^{32}\\left((\\theta+4)^4\\right)", "superseek": "13 1275", "discriminant": "32 1 52 -1603 -115684 -1218741 4154284 48775967 -81033884 -530605176 102410016 -2300538544 17711114624 63549659904 -74174326272 -405640952832 -929755009024 -933008961536 6517476294656 25105948213248 25007003533312 -28377776914432 -84314532347904 -46061343211520 56388122312704 86776022564864 20299626053632 -35924448641024 -29104845881344 -3521873182720 5437428596736 3212635537408 755914244096 68719476736", "aesz": null, "n_sing_complex": "5", "inst_int": null, "c2h": null, "hash": "5c2e3e1d3e85022a77a9136d2272db2f", "dim_h": null, "inst": " 13 -305/4 1275 -82705/4 456346 -40309773/4 252016828 -6391385406 172290572687 -47180274865701/10", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": null, "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(2z+1)(z+1)(8z^2+16z+1)(8z^3+28z^2+46z-1)(8z^3+8z^2+z-1)(z-1)^2(8z^2+1)^2(1024z^8+2560z^7-1792z^6-3520z^5-1616z^4+920z^3+36z^2-41z-1)^2", "discr_factors": "68719476736, z^2+2*z+1/8, (z-1)^2, (z^2+1/8)^2, z^3+z^2+1/8*z-1/8, z+1, z^3+7/2*z^2+23/4*z-1/8, z+1/2, (z^8+5/2*z^7-7/4*z^6-55/16*z^5-101/64*z^4+115/128*z^3+9/256*z^2-41/1024*z-1/1024)^2", "dm_basis": null, "q": "0 1 -16 211 -4320 98331 -2541332 68008761 -1928843948 55887633904", "yuk": "1 13 -597 34438 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