{"count": 19, "status":"OK", "data":[{"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, 168*X^4+336*X^3+240*X^2+72*X+8, -64*(X+1)^2*(96*X^2+192*X+77), 12800*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 328", "degz": 3, "h3": null, "sol": "1 -8 720 -68480 8123920 -1070471808 151600990464 -22585925007360 3494359788725520 -556633716248804480", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 8 72 240 336 168 -4928 -22144 -35648 -24576 -6144 128000 499200 627200 307200 51200", "new_number": "3.15", "id": 75, "operator_tex": "\\theta^4+2^{3} x\\left(21\\theta^4+42\\theta^3+30\\theta^2+9\\theta+1\\right)-2^{6} x^{2}(\\theta+1)^2(96\\theta^2+192\\theta+77)+2^{9} 5^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "-32 -16288", "discriminant": "3 1 168 -6144 51200", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "e21c92d8f9a2222be40fdc71ea51ee35", "dim_h": null, "inst": " -32 468 -16288 1681645/2 -53608288 3907375492 -312636871456 53569620608583/2 -2417943264831744 227473709385640668", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(200z+1)(-1+16z)^2", "discr_factors": "51200, (-1/16+z)^2, z+1/200", "dm_basis": ["-17/12-58*lambda", "17/6", "1/2", "1", "-25/6", "0", "-1", "0", "-8", "16", "0", "0", "-16", "0", "0", "0"], "q": "0 1 40 -400 -5888 -1120272 92443392 -7633773824 738647261184 -73820785132648", "yuk": "1 -32 3712 -439808 53816352 -6701036032 843992670208 -107234446909440 13713822929613600 -1762680640062781184", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/200","im":"0","approx_re":"-0.005","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","1/6","5/6","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, -844*X^4-1688*X^3-1502*X^2-658*X-114, 324*(X+1)^2*(716*X^2+1432*X+579), -5143824*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "", "degz": 3, "h3": null, "sol": "1 114 22518 5236980 1321024950 350026955964 95868151291836 26890684926709032 7679600418083446710 2224185601133574206700", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -114 -658 -1502 -1688 -844 187596 839160 1347516 927936 231984 -51438240 -200609136 -252047376 -123451776 -20575296", "new_number": "3.16", "id": 76, "operator_tex": "\\theta^4-2 x\\left(422\\theta^4+844\\theta^3+751\\theta^2+329\\theta+57\\right)+2^{2} 3^{4} x^{2}(\\theta+1)^2(716\\theta^2+1432\\theta+579)-2^{4} 3^{8} 7^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "10 18328", "discriminant": "3 1 -844 231984 -20575296", "aesz": "386", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "7d032616d3bd41272e22a4d23747d7a0", "dim_h": null, "inst": " 10 -872 18328 -432528 13706388 -713627232 41053701756 -1949477020672 79616564147614 -3586640630165072", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(196z-1)(-1+324z)^2", "discr_factors": "-20575296, (-1/324+z)^2, z-1/196", "dm_basis": ["-144*lambda", "-3/2", "1", "1", "-3/2", "9", "-1", "0", "0", "-18", "0", "0", "18", "0", "0", "0"], "q": "0 1 -202 34815 -5589412 858881991 -128034048246 18671714040813 -2678181565222632 379186080156493056", "yuk": "1 10 -6966 494866 -27688758 1713298510 -154142994222 14081419702318 -998132262272822 58040475264105472", "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","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/196","im":"0","approx_re":"0.00510204081633","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, -912*X^4-1824*X^3-1540*X^2-628*X-104, 2048*(X+1)^2*(132*X^2+264*X+109), -6553600*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.17\" from ...", "degz": 3, "h3": "12", "sol": "1 104 18600 3925760 906368680 222749440704 57562268096256 15541087025418240 4366013175750231720 1272142436194984228160", "n_discr_factors": "2", "c3": "80", "operator": "4 3 0 0 0 0 1 -104 -628 -1540 -1824 -912 223232 987136 1574912 1081344 270336 -65536000 -255590400 -321126400 -157286400 -26214400", "new_number": "3.17", "id": 77, "operator_tex": "\\theta^4-2^{2} x\\left(228\\theta^4+456\\theta^3+385\\theta^2+157\\theta+26\\right)+2^{11} x^{2}(\\theta+1)^2(132\\theta^2+264\\theta+109)-2^{18} 5^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "68 125636/3", "discriminant": "3 1 -912 270336 -26214400", "aesz": "387", "n_sing_complex": "0", "inst_int": "", "c2h": "24", "hash": "06864aab02693f4b84eb494138bb3428", "dim_h": "4", "inst": " 68 204 125636/3 841384 123715360 6684183300 733643578092 60209440521080 18981546511013648/3 622264120727284960", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(400z-1)(-1+256z)^2", "discr_factors": "-26214400, z-1/400, (-1/256+z)^2", "dm_basis": ["80*lambda", "3", "1", "1", "-1", "-6", "-1", "0", "0", "12", "0", "0", "-12", "0", "0", "0"], "q": "0 1 -212 38622 -6606224 1078429485 -171109302936 26547238818834 -4053702590226240 610863748603039494", "yuk": "1 68 1700 1130792 53850276 15464420068 1443784725224 251639747285624 30827233600643236 4612515802177447256", "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":"1/400","im":"0","approx_re":"0.0025","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","0","1","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, -1164*X^4-2328*X^3-1630*X^2-466*X-50, 4*(X+1)^2*(2316*X^2+4632*X+1907), -4624*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.18\" from ...", "degz": 3, "h3": "6", "sol": "1 50 17142 9383540 6301530550 4753716061500 3866146815507900 3314249802229852200 2953892031977184333750 2712752476588987111093100", "n_discr_factors": "2", "c3": "-64", "operator": "4 3 0 0 0 0 1 -50 -466 -1630 -2328 -1164 7628 33784 53948 37056 9264 -46240 -180336 -226576 -110976 -18496", "new_number": "3.18", "id": 78, "operator_tex": "\\theta^4-2 x\\left(582\\theta^4+1164\\theta^3+815\\theta^2+233\\theta+25\\right)+2^{2} x^{2}(\\theta+1)^2(2316\\theta^2+4632\\theta+1907)-2^{4} 17^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "266 11433160/3", "discriminant": "3 1 -1164 9264 -18496", "aesz": "388", "n_sing_complex": "0", "inst_int": "", "c2h": "36", "hash": "7e11db69c1b7bd8781e54a5eadb0e307", "dim_h": "4", "inst": " 266 19320 11433160/3 1106069392 397606861972 163708396964448 74029950842252412 35855597962756080032 54903164177222802846682/3 9735374577114117165638320", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(1156z-1)(4z-1)^2", "discr_factors": "-18496, (z-1/4)^2, z-1/1156", "dm_basis": ["-64*lambda", "5/2", "1", "1", "-3/2", "-3", "-1", "0", "0", "6", "0", "0", "-6", "0", "0", "0"], "q": "0 1 -266 14079 -3405860 -924112185 -466501974198 -237121195584531 -128307385503252456 -72331818578975524608", "yuk": "1 266 154826 102898706 70788595914 49700857746766 35361013847374034 25392273138892577582 18358066157001901572298 13341468895065141194642432", "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":"1/1156","im":"0","approx_re":"0.000865051903114","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","0","1","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, -561*X^4-1122*X^3-975*X^2-414*X-70, 196*(X+1)^2*(534*X^2+1068*X+433), -1623076*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.20\" from ...", "degz": 3, "h3": null, "sol": "1 70 8442 1192660 182057050 29111212620 4802304206700 810231412830840 139054209690245850 24188007840075979900", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -70 -414 -975 -1122 -561 84868 379064 608188 418656 104664 -16230760 -63299964 -79530724 -38953824 -6492304", "new_number": "3.20", "id": 80, "operator_tex": "\\theta^4-x\\left(561\\theta^4+1122\\theta^3+975\\theta^2+414\\theta+70\\right)+2^{2} 7^{2} x^{2}(\\theta+1)^2(534\\theta^2+1068\\theta+433)-2^{2} 7^{4} 13^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "19 4455", "discriminant": "3 1 -561 104664 -6492304", "aesz": "390", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "cd8ca8746f3610e70893770a090533f9", "dim_h": null, "inst": " 19 -276 4455 -104648 2969383 -91292032 2962144568 -101226583168 3602464445771 -131972682107892", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(169z-1)(-1+196z)^2", "discr_factors": "-6492304, (-1/196+z)^2, z-1/169", "dm_basis": ["7/12-224*lambda", "-49/12", "6/7", "1", "-7/12", "35/2", "-1", "0", "7", "-49", "0", "0", "49", "0", "0", "0"], "q": "0 1 -134 15689 -1713180 179137540 -18186519462 1807220516934 -176688885536264 17055257369318012", "yuk": "1 19 -2189 120304 -6699661 371172894 -19718960816 1016015586843 -51828017281677 2626196581087363", "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":"1/196","im":"0","approx_re":"0.00510204081633","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/169","im":"0","approx_re":"0.00591715976331","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, -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, -1484*X^4-2968*X^3-2590*X^2-1106*X-190, 500*(X+1)^2*(1468*X^2+2936*X+1211), -30250000*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"3.19\" from ...", "degz": 3, "h3": null, "sol": "1 190 61170 22892500 9212271250 3869786552940 1672479780348300 737623556493509400 330295807744478111250 149658514064364940277500", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -190 -1106 -2590 -2968 -1484 605500 2679000 4275500 2936000 734000 -302500000 -1179750000 -1482250000 -726000000 -121000000", "new_number": "3.19", "id": 83, "operator_tex": "\\theta^4-2 x\\left(742\\theta^4+1484\\theta^3+1295\\theta^2+553\\theta+95\\right)+2^{2} 5^{3} x^{2}(\\theta+1)^2(1468\\theta^2+2936\\theta+1211)-2^{4} 5^{6} 11^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "66 69048", "discriminant": "3 1 -1484 734000 -121000000", "aesz": "389", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c5cca5b7bfc61c4e8b38fab025244078", "dim_h": null, "inst": " 66 -1780 69048 -3847892 244783420 -17023150656 1268866383332 -99335201453300 8072788047334050 -676052937380714920", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(484z-1)(-1+500z)^2", "discr_factors": "-121000000, z-1/484, (-1/500+z)^2", "dm_basis": null, "q": "0 1 -346 103911 -28978564 7722398595 -1995619017654 504388443319777 -125361402226128296 30750752988318147966", "yuk": "1 66 -14174 1864362 -246279262 30597927566 -3676998691574 435221169482942 -50859623390368862 5885062486508386812", "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":"1/500","im":"0","approx_re":"0.002","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/484","im":"0","approx_re":"0.00206611570248","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, -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, 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, -204*X^4-408*X^3-310*X^2-106*X-14, 4*(X+1)^2*(396*X^2+792*X+311), -784*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 214", "degz": 3, "h3": null, "sol": "1 14 834 78260 8970850 1152334764 159366372396 23212777964376 3513468660671970 547771527724120700", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -14 -106 -310 -408 -204 1244 5656 9164 6336 1584 -7840 -30576 -38416 -18816 -3136", "new_number": "3.5", "id": 100, "operator_tex": "\\theta^4-2 x\\left(102\\theta^4+204\\theta^3+155\\theta^2+53\\theta+7\\right)+2^{2} x^{2}(\\theta+1)^2(396\\theta^2+792\\theta+311)-2^{4} 7^{2} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "26 103520/9", "discriminant": "3 1 -204 1584 -3136", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4ed9bc316d49a71649da0a1148f7ea9d", "dim_h": null, "inst": " 26 348 103520/9 539764 31290280 6220379792/3 150787520904 11740086052676 8667540233662372/9 82326985100563360", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(196z-1)(4z-1)^2", "discr_factors": "-3136, (z-1/4)^2, z-1/196", "dm_basis": null, "q": "0 1 -50 795 -24164 -309399 -49289478 -3596608461 -321221644872 -28989819089037", "yuk": "1 26 2810 310586 34547706 3911285026 447867658394 51720119670098 6010924093517818 702070758926962718", "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":"1/196","im":"0","approx_re":"0.00510204081633","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","1/4","3/4","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, -108*X^4-216*X^3-54*X^2+54*X+18, -2916*(X+1)^2*(20*X^2+40*X+17), -944784*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "Operator equivalent to AESZ 73", "degz": 3, "h3": "9", "sol": "1 -18 2754 37620 43789410 6088103532 1715335241004 385807115999448 99807709568908770 25528366039107763260", "n_discr_factors": "2", "c3": "12", "operator": "4 3 0 0 0 0 1 18 54 -54 -216 -108 -49572 -215784 -341172 -233280 -58320 -9447840 -36846576 -46294416 -22674816 -3779136", "new_number": "3.7", "id": 102, "operator_tex": "\\theta^4-2 3^{2} x\\left(6\\theta^4+12\\theta^3+3\\theta^2-3\\theta-1\\right)-2^{2} 3^{6} x^{2}(\\theta+1)^2(20\\theta^2+40\\theta+17)-2^{4} 3^{10} x^{3}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "90 151648", "discriminant": "3 1 -108 -58320 -3779136", "aesz": "~73", "n_sing_complex": "0", "inst_int": "", "c2h": "30", "hash": "9f672e1168859bdcc8ddc7a201c57968", "dim_h": "4", "inst": " 90 2196 151648 14813388 1820806056 256288477264 39613204229256 6558770323351260 1144477326915177220 208148451286833099936", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(324z-1)(1+108z)^2", "discr_factors": "-3779136, z-1/324, (1/108+z)^2", "dm_basis": null, "q": "0 1 -18 -6885 -284964 -3892887 -2544634278 -635787930573 -114092490856392 -21147227686705293", "yuk": "1 90 17658 4094586 948074490 227600757090 55358315201178 13587329050634898 3358090406503919610 834323971321168287966", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","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":"1/324","im":"0","approx_re":"0.00308641975309","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, 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, 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, -1554-12914*X-60702*X^2-95576*X^3+62504*X^4, 98893668+480978064*X+1392981860*X^2-3405985824*X^3+567961584*X^4, 318108479472+2523806475792*X+4388036250752*X^2+6250502592768*X^3-12867680148736*X^4, 7694834671368768+41581392893776960*X+87886999560343424*X^2+90246759904394240*X^3+40005029653114624*X^4, 9338644224*(X+1)*(6017971352*X^3+13862309856*X^2+7944674578*X+1672187649), -59961931355296246348800*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.40\" from ...", "degz": 6, "h3": null, "sol": "1 1554 4332150 14528884020 53714646216630 211334648964711804 868739276207152857276 3690298968820833939209640 16082382099608640992322135990 71544662387897974658747973068460", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 -1554 -12914 -60702 -95576 62504 98893668 480978064 1392981860 -3405985824 567961584 318108479472 2523806475792 4388036250752 6250502592768 -12867680148736 7694834671368768 41581392893776960 87886999560343424 90246759904394240 40005029653114624 15615965529777989376 89808454889177326848 203647669227432009216 185654873274584942592 56199693406552270848 -599619313552962463488000 -2338515322856553607603200 -2938134636409516071091200 -1439086352527109912371200 -239847725421184985395200", "new_number": "6.40", "id": 424, "operator_tex": "\\theta^4+2 x\\left(31252\\theta^4-47788\\theta^3-30351\\theta^2-6457\\theta-777\\right)+2^{2} x^{2}\\left(141990396\\theta^4-851496456\\theta^3+348245465\\theta^2+120244516\\theta+24723417\\right)-2^{4} 7 x^{3}\\left(114890001328\\theta^4-55808058864\\theta^3-39178895096\\theta^2-22533986391\\theta-2840254281\\right)+2^{6} 7^{2} x^{4}\\left(12756705884284\\theta^4+28777665785840\\theta^3+28025191186334\\theta^2+13259372733985\\theta+2453710035513\\right)+2^{8} 3^{4} 7^{3} 13 101 x^{5}(\\theta+1)(6017971352\\theta^3+13862309856\\theta^2+7944674578\\theta+1672187649)-2^{10} 3^{10} 5^{2} 7^{5} 13^{2} 37^{2} 101^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "24586 329889747608", "discriminant": "6 1 62504 567961584 -12867680148736 40005029653114624 56199693406552270848 -239847725421184985395200", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "36fe35d15f62636c9a59974b02c3c153", "dim_h": null, "inst": " 24586 -65016808 329889747608 -2211583844012928 17318548806048850836 -149761488144894571484864 1387367505862789635983742588 -13519360263668834761391739753264 136946485913091444889518277634936990 -1430374711078281659867909524153808788528", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(2916z-1)(5476z-1)(2268z+1)(4900z-1)(1+36764z)^2", "discr_factors": "-239847725421184985395200, z-1/2916, z+1/2268, (1/36764+z)^2, z-1/4900, z-1/5476", "dm_basis": null, "q": "0 1 -6698 54504831 -498530146660 4918157493252935 -51128968633091270550 552217354868522438045677 -6139231053402030354298174568 69812681845489017347118057447168", "yuk": "1 24586 -520109878 8907023210002 -141541366536937270 2164818600756106379086 -32348481439288320937655086 475867054510936845142423732270 -6921912454998443539373937290608438 99833988230643663324458833302892275712", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2268","im":"0","approx_re":"-0.000440917107584","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36764","im":"0","approx_re":"-2.720052225e-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":"1/5476","im":"0","approx_re":"0.00018261504748","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4900","im":"0","approx_re":"0.000204081632653","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2916","im":"0","approx_re":"0.000342935528121","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": "[49*X^4, -20832*X^4-20328*X^3-15750*X^2-5586*X-784, 3065568*X^4+4739808*X^3+4043188*X^2+1816304*X+335104, -207097856*X^4-453667200*X^3-491369152*X^2-256875696*X-51444064, 6782284032*X^4+21334995456*X^3+27915672384*X^2+16721014848*X+3660106624, -260096*(X+1)*(390972*X^3+1350660*X^2+1486781*X+460439), 139792236544*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.3\" from ...", "degz": 6, "h3": null, "sol": "1 16 864 80800 9624160 1298457216 189187469856 29065426625664 4642948645077600 764217020993620480", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 49 -784 -5586 -15750 -20328 -20832 335104 1816304 4043188 4739808 3065568 -51444064 -256875696 -491369152 -453667200 -207097856 3660106624 16721014848 27915672384 21334995456 6782284032 -119758342144 -506464133120 -738007054336 -452991516672 -101690253312 1397922365440 5451897225216 6849819590656 3355013677056 559168946176", "new_number": "6.3", "id": 425, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(1488\\theta^4+1452\\theta^3+1125\\theta^2+399\\theta+56\\right)+2^{2} x^{2}\\left(766392\\theta^4+1184952\\theta^3+1010797\\theta^2+454076\\theta+83776\\right)-2^{4} x^{3}\\left(12943616\\theta^4+28354200\\theta^3+30710572\\theta^2+16054731\\theta+3215254\\right)+2^{6} x^{4}\\left(105973188\\theta^4+333359304\\theta^3+436182381\\theta^2+261265857\\theta+57189166\\right)-2^{11} 127 x^{5}(\\theta+1)(390972\\theta^3+1350660\\theta^2+1486781\\theta+460439)+2^{14} 23^{2} 127^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "178/7 129516/7", "discriminant": "6 49 -20832 3065568 -207097856 6782284032 -101690253312 559168946176", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ec9e21dc2ccd3b4b4156ae1438454b96", "dim_h": null, "inst": " 178/7 3375/7 129516/7 6515900/7 409239710/7 29732192762/7 2381477190166/7 204433165592840/7 18494912599411778/7 1743947625117701865/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(1-248z+8464z^2)(508z-7)^2(16z-1)^2", "discr_factors": "559168946176, 1/8464-31/1058*z+z^2, (z-7/508)^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 -50 857 -43532 -275940 -100383426 -7088749302 -728504871752 -71513069258332", "yuk": "1 178/7 27178/7 3497110/7 417044778/7 51154963928/7 6422157160702/7 816846676227116/7 104669781200578858/7 13482791284974683272/7", "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":"31/2116-3/529*3^(1/2)","im":"0","approx_re":"0.004828","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/508","im":"0","approx_re":"0.0137795275591","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"31/2116+3/529*3^(1/2)","im":"0","approx_re":"0.024473","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","1/3","2/3","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": "[361*X^4, -82327*X^4-118028*X^3-90782*X^2-31768*X-4332, 4307495*X^4+7600484*X^3+6216406*X^2+2802424*X+530556, -93729369*X^4-213316800*X^3-236037196*X^2-125748612*X-25260804, 963255200*X^4+3114116800*X^3+4165791036*X^2+2527211236*X+554043972, -1636*(X+1)*(2851324*X^3+10035516*X^2+11221241*X+3481470), 2173983876*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.4\" from ...", "degz": 6, "h3": null, "sol": "1 12 588 46200 4446540 479645712 55701589944 6812461820736 865769606945100 113329467477866640", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 361 -4332 -31768 -90782 -118028 -82327 530556 2802424 6216406 7600484 4307495 -25260804 -125748612 -236037196 -213316800 -93729369 554043972 2527211236 4165791036 3114116800 963255200 -5695684920 -24053635196 -34776054452 -21082870240 -4664766064 21739838760 84785371164 106525209924 52175613024 8695935504", "new_number": "6.4", "id": 426, "operator_tex": "19^{2} \\theta^4-19 x\\left(4333\\theta^4+6212\\theta^3+4778\\theta^2+1672\\theta+228\\right)+x^{2}\\left(4307495\\theta^4+7600484\\theta^3+6216406\\theta^2+2802424\\theta+530556\\right)-x^{3}\\left(93729369\\theta^4+213316800\\theta^3+236037196\\theta^2+125748612\\theta+25260804\\right)+2^{2} x^{4}\\left(240813800\\theta^4+778529200\\theta^3+1041447759\\theta^2+631802809\\theta+138510993\\right)-2^{2} 409 x^{5}(\\theta+1)(2851324\\theta^3+10035516\\theta^2+11221241\\theta+3481470)+2^{2} 3^{2} 19^{2} 409^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "370/19 140636/19", "discriminant": "6 361 -82327 4307495 -93729369 963255200 -4664766064 8695935504", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0f3ddf420018e2870561a3e9fd2551cc", "dim_h": null, "inst": " 370/19 276 140636/19 5568700/19 277119292/19 15745336064/19 981366492904/19 3447094749868 4605736683107190/19 337534917416943468/19", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(9z-1)(5776z^3-1920z^2+176z-1)(-19+409z)^2", "discr_factors": "8695935504, z-1/9, (-19/409+z)^2, z^3-120/361*z^2+11/361*z-1/5776", "dm_basis": null, "q": "0 1 -40 412 -12524 -223434 -23485456 -1525491926 -115480412576 -8944553556143", "yuk": "1 370/19 42322/19 3797542/19 356439122/19 34639911870/19 3400996429318/19 336608707066442/19 33533338083155026/19 3357582041988939052/19", "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":"-1/4332*(19608426+3121206*33^(1/2))^(1/3)-3316/361/(19608426+3121206*33^(1/2))^(1/3)+40/361","im":"0","approx_re":"0.006077","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"19/409","im":"0","approx_re":"0.0464547677262","approx_im":"0.0","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":"1/8664*(19608426+3121206*33^(1/2))^(1/3)+1658/361/(19608426+3121206*33^(1/2))^(1/3)+40/361","im":"1/4*3^(1/2)*(-1/2166*(19608426+3121206*33^(1/2))^(1/3)+6632/361/(19608426+3121206*33^(1/2))^(1/3))","approx_re":"0.163166","approx_im":"-0.043179","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8664*(19608426+3121206*33^(1/2))^(1/3)+1658/361/(19608426+3121206*33^(1/2))^(1/3)+40/361","im":"-1/4*3^(1/2)*(-1/2166*(19608426+3121206*33^(1/2))^(1/3)+6632/361/(19608426+3121206*33^(1/2))^(1/3))","approx_re":"0.163166","approx_im":"0.043179","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": "[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":[]}]}]}