{"count": 16, "status":"OK", "data":[{"pols": "[X^4, -3*(3*X+1)*(3*X+2)*(10*X^2+10*X+3), 81*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Hadamard product $B\\ast c$.", "degz": 2, "h3": "18", "sol": "1 18 1350 156240 22141350 3521185668 603258639984 108881071041600 20424293211323430 3946730690210665500", "n_discr_factors": "2", "c3": "-156", "operator": "4 2 0 0 0 0 1 -18 -141 -411 -540 -270 3240 18954 35721 26244 6561", "new_number": "2.10", "id": 1, "operator_tex": "\\theta^4-3 x(3\\theta+1)(3\\theta+2)(10\\theta^2+10\\theta+3)+3^{4} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "27 18089", "discriminant": "2 1 -270 6561", "aesz": "70", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "3d2adae6eaf26a56c76b8b67d92cc5df", "dim_h": "9", "inst": " 27 432 18089 997785 68438142 5372412653 462553061328 42629254956495 4139005487642537 418758418475154936", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "A_{n}=\\dbinom{2n}{n}\\dbinom{3n}{n}\\sum_{k=0}^{n}\\dbinom{n}{k}^{2}\\dbinom{2k}{k}", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(243z-1)(27z-1)", "discr_factors": "6561, z-1/243, z-1/27", "dm_basis": ["-377989751/500000000*I", "6", "1", "1", "-3", "-9", "-1", "0", "0", "18", "0", "0", "-18", "0", "0", "0"], "q": "0 1 -69 2196 -90131 1380525 -161041824 -7106675719 -979853201733 -98506835149437", "yuk": "1 27 3483 488430 63861723 8554767777 1160441624934 158655700035531 21826178601587163 3017335000491897903", "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","18","1","0","0","0","1","1"]},{"re":"1/243","im":"0","approx_re":"0.00411522633745","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1.+.755979502*I","0","26*lambda",".31750278e-1","3","1","1/2","-26*lambda","0","0","1","0","18","0","3","1.-.755979502*I"],"monodromy_dm":["1","-9","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["4+468*lambda","-1.-.755979502*I","1/2+78*lambda","-.71415832e-1-52*lambda","9","-2","3/2","-1/2-78*lambda","18","-6","4","-1.-.755979502*I","54","-18","9","-2-468*lambda"],"monodromy_dm":["-5","-36","-4","-3","2","13","1333333/1000000","1","-18","-108","-11","-9","12","72","8","7"]},{"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, -9*(3*X+1)*(3*X+2)*(3*X^2+3*X+1), 243*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Hadamard product $B\\ast f$", "degz": 2, "h3": null, "sol": "1 18 810 35280 311850 -224756532 -41527742256 -5161210591680 -496059075330390 -33108414482929500", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -18 -135 -378 -486 -243 9720 56862 107163 78732 19683", "new_number": "2.21", "id": 13, "operator_tex": "\\theta^4-3^{2} x(3\\theta+1)(3\\theta+2)(3\\theta^2+3\\theta+1)+3^{5} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "18 -5177", "discriminant": "2 1 -243 19683", "aesz": "134", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "cc6d92c4b8a8dadb92b447c54e3a2a2f", "dim_h": null, "inst": " 18 -207/2 -5177 -155979 -923301 864871525/4 14999353992 412867187721 -15028199534105 -9414668043657531/4", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "A_{n}=\\dbinom{2n}{n}\\dbinom{3n}{n}\\sum_{k=0}^{n}(-1)^{k}3^{n-3k}\\dbinom{n}{3k}\\frac{(3k)!}{k!^3}", "n_sing_rational": "1", "n_sing": "3", "laurent": null, "discriminant_tex": "1-243z+19683z^2", "discr_factors": "19683, 1/19683-1/81*z+z^2", "dm_basis": ["13/16-198*lambda", "2610000001/240000000+43/2000000000*I", "850500001462499997223/729000001350000003541+3402000002925/729000001350000003541*I", "1", "-33/8-1/125000000*I", "-1440000001/80000000-9/250000000*I", "-729000001349999997709/729000001350000003541-2916000002700/729000001350000003541*I", "0", "9/2+9/1000000000*I", "1080000001/40000000+27/500000000*I", "0", "0", "-1080000001/40000000-27/500000000*I", "0", "0", "0"], "q": "0 1 -63 3564 -150735 6501681 -261382950 9012994434 -373193040123 13202314506639", "yuk": "1 18 -810 -139761 -9983466 -115412607 46702921761 5144778419274 211387990129686 -10955557460502306", "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","27","1","0","0","0","1","1"]},{"re":"1/162","im":"-1/486*3^(1/2)","approx_re":"0.00617283950617","approx_im":"-0.003564","exponents":["0","1","1","2"],"monodromy":["3/16+198*lambda","-13/96+33*lambda","-143/1152+121/4*lambda",".9648440e-2+.57748434e-1*I","33/8+1/125000000*I","27/16-1/500000000*I","121/192-3/1000000000*I","143/1152-121/4*lambda","-9/2-9/1000000000*I","-3/4+1/500000000*I","5/16+3/1000000000*I","-13/96+33*lambda","27.000000025+.54000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-7*I","4.500000045-.14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-7*I","33/8-9/500000000*I","29/16-198*lambda"],"monodromy_dm":["1","-12","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/162","im":"1/486*3^(1/2)","approx_re":"0.00617283950617","approx_im":"0.003564","exponents":["0","1","1","2"],"monodromy":["29/16+198*lambda","-13/96-33*lambda","143/1152+121/4*lambda",".9648440e-2-.57748434e-1*I","33/8","5/16","121/192","-143/1152-121/4*lambda","9/2","-3/4","27/16","-13/96-33*lambda","27","-9/2","33/8","3/16-198*lambda"],"monodromy_dm":["-2","-18","-1333333/1000000","-1","1","7","111111/250000","333333/1000000","-18","-108","-7","-6","15","90","6666667/1000000","6"]},{"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, -3*(3*X+1)*(3*X+2)*(11*X^2+11*X+3), -9*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Hadamard product B*b\nRelated to (:case 7.19), (:case 8.18)\nThis operator corresponds to $(Grass(2,5)\\vert 1,1,3)_{-150}$ from arXiv:0802.2908", "degz": 2, "h3": "15", "sol": "1 18 1710 246960 43347150 8515775268 1800376001424 400791767238720 92704190534597070 22085208822810919500", "n_discr_factors": "1", "c3": "-150", "operator": "4 2 0 0 0 0 1 -18 -147 -444 -594 -297 -360 -2106 -3969 -2916 -729", "new_number": "2.6", "id": 66, "operator_tex": "\\theta^4-3 x(3\\theta+1)(3\\theta+2)(11\\theta^2+11\\theta+3)-3^{2} x^{2}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "36 41421", "discriminant": "2 1 -297 -729", "aesz": "24", "n_sing_complex": "0", "inst_int": "", "c2h": "66", "hash": "5e8f8f32b5e99693a2956e1240b9fdff", "dim_h": "8", "inst": " 36 837 41421 2992851 266362506 27112272624 3028463890677 362170461839895 45632464971618513 5991507998411065245", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "A_{n}=\\dbinom{2n}{n}\\dbinom{3n}{n}\\sum_{k=0}^{n}\\dbinom{n}{k}^2\\dbinom{n+k}{n}", "n_sing_rational": "1", "n_sing": "3", "laurent": null, "discriminant_tex": "1-297z-729z^2", "discr_factors": "-729, -1/729+11/27*z+z^2", "dm_basis": ["-150*lambda", "21/4", "1", "1", "-11/4", "-15/2", "-1", "0", "0", "15", "0", "0", "-15", "0", "0", "0"], "q": "0 1 -75 1539 -60073 -2978346 -380743659 -48420276097 -6463392140319 -900815105135718", "yuk": "1 36 6732 1118403 191549196 33295313286 5856252011883 1038763114502247 185431276653575436 33266066964311014380", "gv2": null, "gv0": "540 12555 621315 44892765 3995437590 406684089360 45426958360155 5432556927598425 684486974574277695 89872619976165978675", "gv1": "0 0 -1 13095 17230617 6648808835 1831575868830 433375127634753 94416986839804040 19571240651198871015 3928385495739192861123 771467376541495393981885 149185114850267499674332737 28527921575954705632251978558 5410017459416672999118331855100 1019499107689707626552267048965731 191190228044755566196801759890402648 35719045727096113630007361726280466678 6653312019338283509139215063697202862643", "spectrum":[{"re":"-11/54-5/54*5^(1/2)","im":"0","approx_re":"-0.410747","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["11/2+600*lambda","-9/4-300*lambda","21/20+140*lambda","-.196596398-90*lambda","14","-6","49/15","-21/20-140*lambda","30","-15","8","-9/4-300*lambda","60","-30","14","-7/2-600*lambda"],"monodromy_dm":["-9","-50","-6","-4","5","26","3","2","-45","-225","-26","-18","30","150","18","13"]},{"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","15","1","0","0","0","1","1"]},{"re":"-11/54+5/54*5^(1/2)","im":"0","approx_re":"0.00334","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+150*lambda","0","55/2*lambda",".35225900e-1","11/4","1","121/240","-55/2*lambda","0","0","1","0","15","0","11/4","1-150*lambda"],"monodromy_dm":["1","-8","-1","-1","0","1","0","0","0","0","1","0","0","0","0","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, -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, -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, -(X+1)*(285*X^3+321*X^2+128*X+18), -3280*X^4-2644*X^3+2674*X^2+2356*X+480, -7668*X^4+9216*X^3+10296*X^2+2880*X+180, 216*(2*X+1)*(22*X^3+37*X^2+24*X+6), 432*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.82\" from ...", "degz": 5, "h3": "14", "sol": "1 18 1662 236340 40943070 7945789068 1660174030284 365333722192296 83543805631567710 19678956052342595580", "n_discr_factors": "3", "c3": "-96", "operator": "4 5 0 0 0 0 1 -18 -146 -449 -606 -285 480 2356 2674 -2644 -3280 180 2880 10296 9216 -7668 1296 7776 18360 20736 9504 1296 6048 9936 6912 1728", "new_number": "5.82", "id": 296, "operator_tex": "\\theta^4-x(\\theta+1)(285\\theta^3+321\\theta^2+128\\theta+18)-2 x^{2}\\left(1640\\theta^4+1322\\theta^3-1337\\theta^2-1178\\theta-240\\right)-2^{2} 3^{2} x^{3}\\left(213\\theta^4-256\\theta^3-286\\theta^2-80\\theta-5\\right)+2^{3} 3^{3} x^{4}(2\\theta+1)(22\\theta^3+37\\theta^2+24\\theta+6)+2^{4} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "45 43531", "discriminant": "5 1 -285 -3280 -7668 9504 1728", "aesz": "313", "n_sing_complex": "0", "inst_int": "", "c2h": "56", "hash": "f8bfe82988e14680bdb775a3ce956216", "dim_h": "7", "inst": " 45 845 43531 3091112 273471538 27632280740 3065139414900 364034045136592 45554291158936325 5940634529870887198", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(z-1)(48z^2+296z-1)(6z+1)^2", "discr_factors": "1728, (z+1/6)^2, z^2+37/6*z-1/48, z-1", "dm_basis": null, "q": "0 1 -74 1559 -67652 -2528789 -386350534 -46810486807 -6250760414504 -864098531880686", "yuk": "1 45 6805 1175382 197837973 34183942295 5968573821982 1051342819310745 186385431307773077 33209078254865756307", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-37/12-7/6*7^(1/2)","im":"0","approx_re":"-6.170043","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","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":"-37/12+7/6*7^(1/2)","im":"0","approx_re":"0.003377","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","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": "[9409*X^4, 97*X*(1727*X^3-2018*X^2-1300*X-291), -1652135*X^4-13428812*X^3-16174393*X^2-10216234*X-2709792, -81753435*X^4-364126194*X^3-568639497*X^2-443115594*X-138000348, -1175502862*X^4-5423394464*X^3-10006378570*X^2-8869415520*X-3049275024, -9726250397*X^4-50507429234*X^3-106108023451*X^2-103964102350*X-38537290992, -52762935894*X^4-312374434824*X^3-733053660150*X^2-781527778884*X-308040167808, -195453433908*X^4-1313199235080*X^3-3399527062044*X^2-3901093356168*X-1619360309088, -144*(X+1)*(3432647479*X^3+22487363787*X^2+50808614711*X+38959393614), -432*(X+1)*(X+2)*(1903493629*X^2+10262864555*X+14314039440), -438048*(X+3)*(X+2)*(X+1)*(1862987*X+5992902), -368028363456*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"11.2\" from ...", "degz": 11, "h3": null, "sol": "1 0 18 168 2430 37200 605340 10342080 182788830 3320565360", "n_discr_factors": "3", "c3": null, "operator": "4 11 0 0 0 0 9409 0 -28227 -126100 -195746 167519 -2709792 -10216234 -16174393 -13428812 -1652135 -138000348 -443115594 -568639497 -364126194 -81753435 -3049275024 -8869415520 -10006378570 -5423394464 -1175502862 -38537290992 -103964102350 -106108023451 -50507429234 -9726250397 -308040167808 -781527778884 -733053660150 -312374434824 -52762935894 -1619360309088 -3901093356168 -3399527062044 -1313199235080 -195453433908 -5610152680416 -12926593198800 -10554620903712 -3732481622304 -494301236976 -12367330076160 -27418110089760 -21128955996816 -6900485230944 -822309247728 -15751072411776 -33773432464512 -24727927434912 -7521645111552 -816077729376 -8832680722944 -18401418172800 -12880992720960 -3680283634560 -368028363456", "new_number": "11.2", "id": 339, "operator_tex": "97^{2} \\theta^4+97 x\\theta(1727\\theta^3-2018\\theta^2-1300\\theta-291)-x^{2}\\left(1652135\\theta^4+13428812\\theta^3+16174393\\theta^2+10216234\\theta+2709792\\right)-3 x^{3}\\left(27251145\\theta^4+121375398\\theta^3+189546499\\theta^2+147705198\\theta+46000116\\right)-2 x^{4}\\left(587751431\\theta^4+2711697232\\theta^3+5003189285\\theta^2+4434707760\\theta+1524637512\\right)-x^{5}\\left(9726250397\\theta^4+50507429234\\theta^3+106108023451\\theta^2+103964102350\\theta+38537290992\\right)-2 3 x^{6}\\left(8793822649\\theta^4+52062405804\\theta^3+122175610025\\theta^2+130254629814\\theta+51340027968\\right)-2^{2} 3^{2} x^{7}\\left(5429262053\\theta^4+36477756530\\theta^3+94431307279\\theta^2+108363704338\\theta+44982230808\\right)-2^{4} 3^{2} x^{8}(\\theta+1)(3432647479\\theta^3+22487363787\\theta^2+50808614711\\theta+38959393614)-2^{4} 3^{3} x^{9}(\\theta+1)(\\theta+2)(1903493629\\theta^2+10262864555\\theta+14314039440)-2^{5} 3^{4} 13^{2} x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(1862987\\theta+5992902)-2^{6} 3^{3} 13^{4} 7457 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "136/97 1768/97", "discriminant": "11 9409 167519 -1652135 -81753435 -1175502862 -9726250397 -52762935894 -195453433908 -494301236976 -822309247728 -816077729376 -368028363456", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "940a6a9fb87fe9b9613bd73b990374c1", "dim_h": null, "inst": " 136/97 292/97 1768/97 10128/97 83387/97 721092/97 7043124/97 72658472/97 792624984/97 8992463150/97", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "10", "laurent": null, "discriminant_tex": "-(12z^2+6z+1)(7457z^5+6100z^4+1929z^3+257z^2+7z-1)(97+912z+2028z^2)^2", "discr_factors": "-368028363456, z^2+1/2*z+1/12, (97/2028+76/169*z+z^2)^2, z^5+6100/7457*z^4+1929/7457*z^3+257/7457*z^2+7/7457*z-1/7457", "dm_basis": null, "q": "0 1 -3 -22 -39 100 -1804 -31220 -345247 -3823451", "yuk": "1 136/97 2472/97 47872/97 650664/97 10423511/97 155806080/97 2415791668/97 37201788328/97 577823661208/97", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-38/169-1/1014*2805^(1/2)","im":"0","approx_re":"-0.277083","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"-1/12*3^(1/2)","approx_re":"-0.25","approx_im":"-0.144338","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"1/12*3^(1/2)","approx_re":"-0.25","approx_im":"0.144338","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-38/169+1/1014*2805^(1/2)","im":"0","approx_re":"-0.172621","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":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","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, -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, -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, -18-94*X-199*X^2-210*X^3-105*X^4, 5700+19672*X+26596*X^2+16760*X^3+4190*X^4, -387468-1074492*X-1106604*X^2-498960*X^3-83160*X^4, 9869688+23581152*X+19871352*X^2+6988032*X^3+873504*X^4, -75600*(X+4)*(X+1)*(61*X^2+305*X+345), 9525600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.18\" from ...", "degz": 6, "h3": null, "sol": "1 18 348 7320 168840 4267728 117154464 3444623424 106919286840 3460118502000", "n_discr_factors": "6", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -94 -199 -210 -105 5700 19672 26596 16760 4190 -387468 -1074492 -1106604 -498960 -83160 9869688 23581152 19871352 6988032 873504 -104328000 -222642000 -159818400 -46116000 -4611600 381024000 742996800 466754400 114307200 9525600", "new_number": "6.18", "id": 401, "operator_tex": "\\theta^4-x\\left(18+94\\theta+199\\theta^2+210\\theta^3+105\\theta^4\\right)+2 x^{2}\\left(2095\\theta^4+8380\\theta^3+13298\\theta^2+9836\\theta+2850\\right)-2^{2} 3^{2} x^{3}\\left(2310\\theta^4+13860\\theta^3+30739\\theta^2+29847\\theta+10763\\right)+2^{3} 3^{3} x^{4}\\left(4044\\theta^4+32352\\theta^3+91997\\theta^2+109172\\theta+45693\\right)-2^{4} 3^{3} 5^{2} 7 x^{5}(\\theta+4)(\\theta+1)(61\\theta^2+305\\theta+345)+2^{5} 3^{5} 5^{2} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "3 64", "discriminant": "6 1 -105 4190 -83160 873504 -4611600 9525600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b127e33287ed87a366c178fc4678cdc4", "dim_h": null, "inst": " 3 -4 64 -253 4292 -25608 442008 -3202512 56565002 -457852636", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(14z-1)(42z-1)(18z-1)(10z-1)", "discr_factors": "9525600, z-1/18, z-1/6, z-1/10, z-1/15, z-1/14, z-1/42", "dm_basis": null, "q": "0 1 -22 452 -9472 198028 -4152896 87080620 -1827509984 38353260838", "yuk": "1 3 -29 1731 -16221 536503 -5529629 151608747 -1639702365 41235888189", "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":"1/42","im":"0","approx_re":"0.0238095238095","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":"1/15","im":"0","approx_re":"0.0666666666667","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":"1/10","im":"0","approx_re":"0.1","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": "[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": "[X^4, -(10*X^2+10*X+3)*(17*X^2+17*X+6), 7209*X^4+36612*X^3+51273*X^2+29322*X+6480, 110160*X^4-660960*X^3-2021112*X^2-1537704*X-419904, -10182672*X^4-20365344*X^3+24984288*X^2+35166960*X+11967264, 71383680*X^4+713836800*X^3+403527744*X^2-52488000*X-85660416, 3027087936*X^4-3265173504*X^3-6428310336*X^2-3265173504*X-408146688, -272097792*(10*X^2+10*X+3)*(17*X^2+17*X+6), 176319369216*(X+1)^4]", "text": "Hadamard product $c \\ast g$. This operator has a second MUM-point\nat infinity with the same instanton numbers. It can be reduced to an operator of degree 4 with a single MUM-point defined over $Q(\\sqrt{?})$.", "degz": 8, "h3": "72", "sol": "1 18 630 29016 1529766 87271668 5244963984 327192462720 20994740454438 1377396131965308", "n_discr_factors": "5", "c3": "216", "operator": "4 8 0 0 0 0 1 -18 -111 -281 -340 -170 6480 29322 51273 36612 7209 -419904 -1537704 -2021112 -660960 110160 11967264 35166960 24984288 -20365344 -10182672 -85660416 -52488000 403527744 713836800 71383680 -408146688 -3265173504 -6428310336 -3265173504 3027087936 -4897760256 -30202854912 -76459479552 -92513249280 -46256624640 176319369216 705277476864 1057916215296 705277476864 176319369216", "new_number": "8.12", "id": 455, "operator_tex": "\\theta^4-x(10\\theta^2+10\\theta+3)(17\\theta^2+17\\theta+6)+3^{4} x^{2}\\left(89\\theta^4+452\\theta^3+633\\theta^2+362\\theta+80\\right)+2^{3} 3^{4} x^{3}\\left(170\\theta^4-1020\\theta^3-3119\\theta^2-2373\\theta-648\\right)-2^{4} 3^{8} x^{4}\\left(97\\theta^4+194\\theta^3-238\\theta^2-335\\theta-114\\right)+2^{6} 3^{8} x^{5}\\left(170\\theta^4+1700\\theta^3+961\\theta^2-125\\theta-204\\right)+2^{6} 3^{12} x^{6}\\left(89\\theta^4-96\\theta^3-189\\theta^2-96\\theta-12\\right)-2^{9} 3^{12} x^{7}(10\\theta^2+10\\theta+3)(17\\theta^2+17\\theta+6)+2^{12} 3^{16} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "17 1387", "discriminant": "8 1 -170 7209 110160 -10182672 71383680 3027087936 -46256624640 176319369216", "aesz": "175", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "f6db11b5e593983f455489d5bb1003c5", "dim_h": "18", "inst": " 17 -299/4 1387 -47623/2 500282 -42126461/4 254375312 -12313756771/2 160380505659 -8361141516655/2", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "(81z-1)(8z-1)(72z-1)(9z-1)(-1+648z^2)^2", "discr_factors": "176319369216, z-1/9, z-1/8, z-1/72, z-1/81, (-1/648+z^2)^2", "dm_basis": null, "q": "0 1 -39 1164 -32809 938661 -27510480 817408641 -24553710831 744082098363", "yuk": "1 17 -581 37466 -1524517 62535267 -2274792026 87250732033 -3152323257893 116917388662877", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/36*2^(1/2)","im":"0","approx_re":"-0.039284","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":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/72","im":"0","approx_re":"0.0138888888889","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/2)","im":"0","approx_re":"0.039284","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":"1/8","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3*(3*X^2+3*X+1)*(17*X^2+17*X+6), 5859*X^4+46764*X^3+65907*X^2+38286*X+9072, 297432*X^4-1784592*X^3-5447088*X^2-4181544*X-1189728, -30338064*X^4-60676128*X^3+137518560*X^2+167856624*X+59836320, 578207808*X^4+5782078080*X^3+3287848320*X^2-328784832*X-725594112, 22141957824*X^4-88159684608*X^3-148259284416*X^2-88159684608*X-15917720832, -22039921152*(3*X^2+3*X+1)*(17*X^2+17*X+6), 14281868906496*(X+1)^4]", "text": "Hadamard product $d \\ast g$. This operator has a second MUM-point at infinity. It can be reduced to an operator of degree 4 with a single MUM-point defined over $Q(\\sqrt{?})$.", "degz": 8, "h3": "162", "sol": "1 18 378 6552 21546 -5570532 -361058256 -15509667456 -509913925974 -11554728615612", "n_discr_factors": "3", "c3": "702", "operator": "4 8 0 0 0 0 1 -18 -105 -258 -306 -153 9072 38286 65907 46764 5859 -1189728 -4181544 -5447088 -1784592 297432 59836320 167856624 137518560 -60676128 -30338064 -725594112 -328784832 3287848320 5782078080 578207808 -15917720832 -88159684608 -148259284416 -88159684608 22141957824 -132239526912 -771397240320 -1895433219072 -2248071957504 -1124035978752 14281868906496 57127475625984 85691213438976 57127475625984 14281868906496", "new_number": "8.15", "id": 458, "operator_tex": "\\theta^4-3 x(3\\theta^2+3\\theta+1)(17\\theta^2+17\\theta+6)+3^{3} x^{2}\\left(217\\theta^4+1732\\theta^3+2441\\theta^2+1418\\theta+336\\right)+2^{3} 3^{6} x^{3}\\left(51\\theta^4-306\\theta^3-934\\theta^2-717\\theta-204\\right)-2^{4} 3^{8} x^{4}\\left(289\\theta^4+578\\theta^3-1310\\theta^2-1599\\theta-570\\right)+2^{6} 3^{11} x^{5}\\left(51\\theta^4+510\\theta^3+290\\theta^2-29\\theta-64\\right)+2^{6} 3^{13} x^{6}\\left(217\\theta^4-864\\theta^3-1453\\theta^2-864\\theta-156\\right)-2^{9} 3^{16} x^{7}(3\\theta^2+3\\theta+1)(17\\theta^2+17\\theta+6)+2^{12} 3^{20} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "18 9799/3", "discriminant": "8 1 -153 5859 297432 -30338064 578207808 22141957824 -1124035978752 14281868906496", "aesz": "178", "n_sing_complex": "4", "inst_int": "", "c2h": "0", "hash": "e748913f322a008ae5c350f96f1cd860", "dim_h": "27", "inst": " 18 -423/2 9799/3 -150003/2 1914237 -324455821/6 1628820972 -103046534199/2 1691501544869 -57212542607211", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "7", "laurent": null, "discriminant_tex": "(1728z^2-72z+1)(2187z^2-81z+1)(-1+1944z^2)^2", "discr_factors": "14281868906496, z^2-1/27*z+1/2187, (-1/1944+z^2)^2, z^2-1/24*z+1/1728", "dm_basis": null, "q": "0 1 -33 1224 -44609 1661721 -62614674 2389779914 -92178406965 3589034423679", "yuk": "1 18 -1674 88209 -4801770 239279643 -11680323039 558685593414 -26379917556714 1233104626297710", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/108*6^(1/2)","im":"0","approx_re":"-0.02268","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":"1/54","im":"-1/162*3^(1/2)","approx_re":"0.0185185185185","approx_im":"-0.010692","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"1/162*3^(1/2)","approx_re":"0.0185185185185","approx_im":"0.010692","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"-1/144*3^(1/2)","approx_re":"0.0208333333333","approx_im":"-0.012028","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"1/144*3^(1/2)","approx_re":"0.0208333333333","approx_im":"0.012028","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108*6^(1/2)","im":"0","approx_re":"0.02268","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": "[16*X^4, -288-2400*X-7636*X^2-10472*X^3-5128*X^4, -26424-143496*X-285795*X^2-241290*X^3-85527*X^4, -784728-4313736*X-7404372*X^2-1481328*X^3+1265787*X^4, -8612406-34179894*X-29773818*X^2+29597400*X^3+22024548*X^4, -39234780-121404744*X+67263372*X^2+479110464*X^3-54377568*X^4, -102509064-240211332*X+66371076*X^2-85030560*X^3-1465359984*X^4, -17006112*(2*X+1)*(100*X^3+162*X^2+95*X+21), 1224440064*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"8.30\" from ...", "degz": 8, "h3": "36", "sol": "1 18 1926 310860 61060230 13432459068 3181130504244 793444983882408 205654006502505990 54906028842418516620", "n_discr_factors": "3", "c3": "-204", "operator": "4 8 0 0 0 0 16 -288 -2400 -7636 -10472 -5128 -26424 -143496 -285795 -241290 -85527 -784728 -4313736 -7404372 -1481328 1265787 -8612406 -34179894 -29773818 29597400 22024548 -39234780 -121404744 67263372 479110464 -54377568 -102509064 -240211332 66371076 -85030560 -1465359984 -357128352 -2329837344 -5986151424 -7210591488 -3401222400 3673320192 17142160896 28162121472 19591041024 4897760256", "new_number": "8.30", "id": 475, "operator_tex": "2^{4} \\theta^4-2^{2} x\\left(1282\\theta^4+2618\\theta^3+1909\\theta^2+600\\theta+72\\right)-3^{2} x^{2}\\left(9503\\theta^4+26810\\theta^3+31755\\theta^2+15944\\theta+2936\\right)+3^{4} x^{3}\\left(15627\\theta^4-18288\\theta^3-91412\\theta^2-53256\\theta-9688\\right)+2 3^{6} x^{4}\\left(15106\\theta^4+20300\\theta^3-20421\\theta^2-23443\\theta-5907\\right)-2^{2} 3^{8} x^{5}\\left(2072\\theta^4-18256\\theta^3-2563\\theta^2+4626\\theta+1495\\right)-2^{2} 3^{10} x^{6}\\left(6204\\theta^4+360\\theta^3-281\\theta^2+1017\\theta+434\\right)-2^{5} 3^{12} x^{7}(2\\theta+1)(100\\theta^3+162\\theta^2+95\\theta+21)+2^{8} 3^{14} x^{8}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "229/4 297111/4", "discriminant": "8 16 -5128 -85527 1265787 22024548 -54377568 -1465359984 -3401222400 4897760256", "aesz": "314", "n_sing_complex": "2", "inst_int": "", "c2h": "0", "hash": "893692ba7eb3effcbc0c3b48d405456a", "dim_h": "6", "inst": " 229/4 1293 297111/4 6150238 2540085295/4 74831355661 9685903435429 1342462084703074 392130689138916953/2 29842706359594087140", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "(z-1)(11664z^3+3888z^2+324z-1)(-4-9z+648z^2)^2", "discr_factors": "4897760256, z-1, (-1/162-1/72*z+z^2)^2, z^3+1/3*z^2+1/36*z-1/11664", "dm_basis": null, "q": "0 1 -78 1029 -60368 -6625650 -865943982 -127452930702 -19739639668632 -3184583094643149", "yuk": "1 229/4 41605/4 4011113/2 1574502533/4 79377665526 32327149677353/2 13289059513408817/4 2749362351046398085/4 142931636191137234925", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/36*2^(1/3)-1/72*2^(2/3)-1/9","im":"-1/36*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.168156","approx_im":"-0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36*2^(1/3)-1/72*2^(2/3)-1/9","im":"1/36*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.168156","approx_im":"0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144-1/144*129^(1/2)","im":"0","approx_re":"-0.071929","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":"1/18*2^(1/3)+1/36*2^(2/3)-1/9","im":"0","approx_re":"0.002979","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144+1/144*129^(1/2)","im":"0","approx_re":"0.085818","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -(11*X^2+11*X+3)*(17*X^2+17*X+6), 8711*X^4+33980*X^3+47095*X^2+26230*X+5232, -13464*X^4+80784*X^3+247392*X^2+186840*X+49248, 1244016*X^4+2488032*X^3-1677600*X^2-2921616*X-878688, 969408*X^4+9694080*X^3+5453568*X^2-844992*X-1119744, 45157824*X^4+4478976*X^3-13369536*X^2+4478976*X+4292352, 373248*(11*X^2+11*X+3)*(17*X^2+17*X+6), 26873856*(X+1)^4]", "text": "Hadamard product $ b \\ast g$. This operator has a second MUM-point at infinity with the same instanton numbers. It\ncan be reduced to an operator of degree 4 with a single MUM-point defined over $Q(\\sqrt{?})$.", "degz": 8, "h3": "60", "sol": "1 18 798 45864 2994894 211061268 15653165424 1204397092224 95293403750862 7707665811006252", "n_discr_factors": "3", "c3": "100", "operator": "4 8 0 0 0 0 1 -18 -117 -304 -374 -187 5232 26230 47095 33980 8711 49248 186840 247392 80784 -13464 -878688 -2921616 -1677600 2488032 1244016 -1119744 -844992 5453568 9694080 969408 4292352 4478976 -13369536 4478976 45157824 6718464 43670016 113467392 139594752 69797376 26873856 107495424 161243136 107495424 26873856", "new_number": "8.9", "id": 538, "operator_tex": "\\theta^4-x(11\\theta^2+11\\theta+3)(17\\theta^2+17\\theta+6)+x^{2}\\left(8711\\theta^4+33980\\theta^3+47095\\theta^2+26230\\theta+5232\\right)-2^{3} 3^{2} x^{3}\\left(187\\theta^4-1122\\theta^3-3436\\theta^2-2595\\theta-684\\right)+2^{4} 3^{2} x^{4}\\left(8639\\theta^4+17278\\theta^3-11650\\theta^2-20289\\theta-6102\\right)+2^{6} 3^{4} x^{5}\\left(187\\theta^4+1870\\theta^3+1052\\theta^2-163\\theta-216\\right)+2^{6} 3^{4} x^{6}\\left(8711\\theta^4+864\\theta^3-2579\\theta^2+864\\theta+828\\right)+2^{9} 3^{6} x^{7}(11\\theta^2+11\\theta+3)(17\\theta^2+17\\theta+6)+2^{12} 3^{8} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "16 -13", "discriminant": "8 1 -187 8711 -13464 1244016 969408 45157824 69797376 26873856", "aesz": "174", "n_sing_complex": "2", "inst_int": "", "c2h": "84", "hash": "3f987b46d9ebf201eeead1a885b78e66", "dim_h": "17", "inst": " 16 7/2 -13 11663/2 -26414 18325639/12 8541579 887994147/2 10885529907 212926469048", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "7", "laurent": null, "discriminant_tex": "(81z^2+99z-1)(64z^2+88z-1)(1+72z^2)^2", "discr_factors": "26873856, z^2+11/9*z-1/81, (1/72+z^2)^2, z^2+11/8*z-1/64", "dm_basis": null, "q": "0 1 -45 1351 -31167 567874 -7815141 54690823 918281991 -49549032218", "yuk": "1 16 44 -335 373260 -3301734 329861195 2929761613 227326874892 7935551301868", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/16-5/16*5^(1/2)","im":"0","approx_re":"-1.386271","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/18-5/18*5^(1/2)","im":"0","approx_re":"-1.232241","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"-1/12*2^(1/2)","approx_re":"0.0","approx_im":"-0.117851","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":"0","im":"1/12*2^(1/2)","approx_re":"0.0","approx_im":"0.117851","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/18+5/18*5^(1/2)","im":"0","approx_re":"0.010019","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/16+5/16*5^(1/2)","im":"0","approx_re":"0.011271","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": "[289*X^4, 2890*X+5678*X^2+578+5576*X^3-5576*X^4, -283424*X-383456*X^3-486300*X^2-141200*X^4-64940, -5961900*X-1111296*X^3+1711936*X^4-5841172*X^2-1970776, 33416192*X^4+107083264*X^3+12708832+61131920*X+117104176*X^2, 583048640*X+165704576+410439680*X^3-88311808*X^4+757989312*X^2, -3388903424*X^4-16449085184*X^2-9507938304*X^3-4961050880-14613656064*X, -11753717760*X^4-51345054720*X^2-7719091200-37011456000*X^3-32693575680*X, 19353600*(2224*X^2+11008*X+12225)*(X+1)^2, 216760320000*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.8\" from ...", "degz": 9, "h3": null, "sol": "1 -2 18 -20 1330 8748 237924 3308184 66542130 1151969020", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 289 578 2890 5678 5576 -5576 -64940 -283424 -486300 -383456 -141200 -1970776 -5961900 -5841172 -1111296 1711936 12708832 61131920 117104176 107083264 33416192 165704576 583048640 757989312 410439680 -88311808 -4961050880 -14613656064 -16449085184 -9507938304 -3388903424 -7719091200 -32693575680 -51345054720 -37011456000 -11753717760 236597760000 686239948800 705729024000 299129241600 43042406400 867041280000 2601123840000 2817884160000 1300561920000 216760320000", "new_number": "9.8", "id": 547, "operator_tex": "17^{2} \\theta^4-2 17 x\\left(164\\theta^4-164\\theta^3-167\\theta^2-85\\theta-17\\right)-2^{2} x^{2}\\left(35300\\theta^4+95864\\theta^3+121575\\theta^2+70856\\theta+16235\\right)+2^{2} x^{3}\\left(427984\\theta^4-277824\\theta^3-1460293\\theta^2-1490475\\theta-492694\\right)+2^{4} x^{4}\\left(2088512\\theta^4+6692704\\theta^3+7319011\\theta^2+3820745\\theta+794302\\right)-2^{6} x^{5}\\left(1379872\\theta^4-6413120\\theta^3-11843583\\theta^2-9110135\\theta-2589134\\right)-2^{8} x^{6}\\left(13237904\\theta^4+37140384\\theta^3+64254239\\theta^2+57084594\\theta+19379105\\right)-2^{10} 3^{2} 5 x^{7}\\left(255072\\theta^4+803200\\theta^3+1114259\\theta^2+709496\\theta+167515\\right)+2^{12} 3^{3} 5^{2} 7 x^{8}(2224\\theta^2+11008\\theta+12225)(\\theta+1)^2+2^{18} 3^{3} 5^{4} 7^{2} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "6/17 688/17", "discriminant": "9 289 -5576 -141200 1711936 33416192 -88311808 -3388903424 -11753717760 43042406400 216760320000", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0574d9effd306eb6c9288752b7670904", "dim_h": null, "inst": " 6/17 83/17 688/17 7350/17 5150 1143830/17 15887970/17 233522114/17 3587858746/17 57218160425/17", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(4z-1)(12z+1)(1600z^3+272z^2+8z-1)(-17+164z+1680z^2)^2", "discr_factors": "216760320000, z+1/12, z-1/4, z^3+17/100*z^2+1/200*z-1/1600, (-17/1680+41/420*z+z^2)^2", "dm_basis": null, "q": "0 1 2 -23 -304 -3100 -36830 -522684 -8002248 -129042146", "yuk": "1 6/17 670/17 18582/17 27710 10943756/17 247086526/17 5449573716/17 119563793438/17 2615549044416/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-41/840-1/840*8821^(1/2)","im":"0","approx_re":"-0.160619","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1200*(58796+6900*69^(1/2))^(1/3)-139/300/(58796+6900*69^(1/2))^(1/3)-17/300","im":"-1/8*3^(1/2)*(1/150*(58796+6900*69^(1/2))^(1/3)-278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"-0.106819","approx_im":"-0.053966","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1200*(58796+6900*69^(1/2))^(1/3)-139/300/(58796+6900*69^(1/2))^(1/3)-17/300","im":"1/8*3^(1/2)*(1/150*(58796+6900*69^(1/2))^(1/3)-278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"-0.106819","approx_im":"0.053966","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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/600*(58796+6900*69^(1/2))^(1/3)+139/150/(58796+6900*69^(1/2))^(1/3)-17/300","im":"0","approx_re":"0.043637","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-41/840+1/840*8821^(1/2)","im":"0","approx_re":"0.063","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}]}