{"count": 10, "status":"OK", "data":[{"pols": "[X^4, -16-80*X-161*X^2-162*X^3-81*X^4, 3520+11840*X+15616*X^2+9696*X^3+2424*X^4, -64*(124*X^2+372*X+263)*(2*X+3)^2, 38400*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "Sporadic Operator.\nB-Incarnation: SII4411\n", "degz": 4, "h3": null, "sol": "1 16 280 5152 98200 1924096 38567776 788141440 16375619992 345184309120", "n_discr_factors": "3", "c3": null, "operator": "4 4 0 0 0 0 1 -16 -80 -161 -162 -81 3520 11840 15616 9696 2424 -151488 -416256 -424448 -190464 -31744 1728000 4147200 3494400 1228800 153600", "new_number": "4.77", "id": 178, "operator_tex": "\\theta^4-x\\left(16+80\\theta+161\\theta^2+162\\theta^3+81\\theta^4\\right)+2^{3} x^{2}\\left(303\\theta^4+1212\\theta^3+1952\\theta^2+1480\\theta+440\\right)-2^{6} x^{3}(124\\theta^2+372\\theta+263)(2\\theta+3)^2+2^{9} 3 5^{2} x^{4}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "1 68/9", "discriminant": "4 1 -81 2424 -31744 153600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f9623221ffe8be4c1e31a6e6ce195a37", "dim_h": null, "inst": " 1 -2 68/9 -30 150 -778 4374 -25438 463459/3 -960634", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(25z-1)(24z-1)(-1+16z)^2", "discr_factors": "153600, z-1/25, (-1/16+z)^2, z-1/24", "dm_basis": null, "q": "0 1 -16 228 -3088 40434 -516960 6493584 -80458272 986088855", "yuk": "1 1 -15 205 -1935 18751 -167859 1500283 -13026191 112620742", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"0","approx_re":"0.04","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 20+96*X+180*X^2+168*X^3+276*X^4, 7824+31840*X+52976*X^2+43968*X^3+33552*X^4, 1285120+4602624*X+6724864*X^2+4929024*X^3+2365440*X^4, 113224704+369214464*X+481683456*X^2+310978560*X^3+107043840*X^4, 5938819072+18001223680*X+21321592832*X^2+12174974976*X^3+3244953600*X^4, 193460092928+552328888320*X+601901252608*X^2+306625511424*X^3+66594422784*X^4, 3928442798080+10662611779584*X+10803819577344*X^2+4961730035712*X^3+910775549952*X^4, 48183064395776+125126569885696*X+118802849202176*X^2+49666477522944*X^3+7911030915072*X^4, 385875968*(2*X+3)*(50786*X^3+284985*X^2+515497*X+282264), 20874346364928*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.2\" from ...", "degz": 10, "h3": null, "sol": "1 -20 436 -9872 228292 -5360720 127776880 -3100387520 76926678340 -1960844809040", "n_discr_factors": "5", "c3": null, "operator": "4 10 0 0 0 0 1 20 96 180 168 276 7824 31840 52976 43968 33552 1285120 4602624 6724864 4929024 2365440 113224704 369214464 481683456 310978560 107043840 5938819072 18001223680 21321592832 12174974976 3244953600 193460092928 552328888320 601901252608 306625511424 66594422784 3928442798080 10662611779584 10803819577344 4961730035712 910775549952 48183064395776 125126569885696 118802849202176 49666477522944 7911030915072 326756682694656 814591500091392 727742395973632 278729016213504 39194193821696 939345586421760 2254429407412224 1899565519208448 667979083677696 83497385459712", "new_number": "10.2", "id": 318, "operator_tex": "\\theta^4+2^{2} x\\left(69\\theta^4+42\\theta^3+45\\theta^2+24\\theta+5\\right)+2^{4} x^{2}\\left(2097\\theta^4+2748\\theta^3+3311\\theta^2+1990\\theta+489\\right)+2^{8} x^{3}\\left(9240\\theta^4+19254\\theta^3+26269\\theta^2+17979\\theta+5020\\right)+2^{10} 3 x^{4}\\left(34845\\theta^4+101230\\theta^3+156798\\theta^2+120187\\theta+36857\\right)+2^{12} x^{5}\\left(792225\\theta^4+2972406\\theta^3+5205467\\theta^2+4394830\\theta+1449907\\right)+2^{14} x^{6}\\left(4064601\\theta^4+18714936\\theta^3+36737137\\theta^2+33711480\\theta+11807867\\right)+2^{18} x^{7}\\left(3474333\\theta^4+18927498\\theta^3+41213301\\theta^2+40674636\\theta+14985820\\right)+2^{20} x^{8}\\left(7544547\\theta^4+47365644\\theta^3+113299226\\theta^2+119329996\\theta+45950951\\right)+2^{24} 23 x^{9}(2\\theta+3)(50786\\theta^3+284985\\theta^2+515497\\theta+282264)+2^{28} 3 7^{2} 23^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 2252/9", "discriminant": "10 1 276 33552 2365440 107043840 3244953600 66594422784 910775549952 7911030915072 39194193821696 83497385459712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4a65f8c6ad1f8eaf4aa56879ebb94205", "dim_h": null, "inst": " 4 -31 2252/9 -11109/4 33312 -4091081/9 6559596 -399687825/4 1577400224 -25647405040", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z+1)(8z+1)(784z^2+52z+1)(32z+1)^2(736z^2+64z+1)^2", "discr_factors": "83497385459712, z+1/8, z+1/24, (z+1/32)^2, (z^2+2/23*z+1/736)^2, z^2+13/196*z+1/784", "dm_basis": null, "q": "0 1 16 246 3296 45125 566688 7548010 89656192 1211420178", "yuk": "1 4 -244 6760 -177988 4164004 -98179432 2249941432 -51160219588 1149924770056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/23-3/184*2^(1/2)","im":"0","approx_re":"-0.066536","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/392","im":"-3/392*3^(1/2)","approx_re":"-0.0331632653061","approx_im":"-0.013255","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/392","im":"3/392*3^(1/2)","approx_re":"-0.0331632653061","approx_im":"0.013255","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/23+3/184*2^(1/2)","im":"0","approx_re":"-0.02042","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -321*X^4-258*X^3-258*X^2-129*X-26, 74028*X^3+14112+55150*X+89219*X^2+46467*X^4, -2763616-9502728*X-3994080*X^4-9477984*X^3-13326472*X^2, 225727920*X^4+710675040*X^3+1140231264*X^2+905625648*X+286997664, -34390390656*X^3-18170011648-53733114688*X-61977989504*X^2-8763336000*X^4, 742436462336+2082580125696*X+236647498944*X^4+1113707956224*X^3+2228596709440*X^2, -4388517983232*X^4-24133481490432*X^3-53161009356288*X^2-53101508209152*X-19806669712384, 337377634074624*X^3+335043229626368+862910484692992*X+812804507672576*X^2+53476447629312*X^4, -8978432*(2*X+3)*(21527774*X^3+121431015*X^2+220937755*X+121634574), 314635717705728*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.3\" from ...", "degz": 10, "h3": null, "sol": "1 26 730 21320 638506 19464236 601160176 18749438720 588987246250 18594853518356", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -26 -129 -258 -258 -321 14112 55150 89219 74028 46467 -2763616 -9502728 -13326472 -9477984 -3994080 286997664 905625648 1140231264 710675040 225727920 -18170011648 -53733114688 -61977989504 -34390390656 -8763336000 742436462336 2082580125696 2228596709440 1113707956224 236647498944 -19806669712384 -53101508209152 -53161009356288 -24133481490432 -4388517983232 335043229626368 862910484692992 812804507672576 337377634074624 53476447629312 -3276263254523904 -8135199331516416 -7238129551605760 -2760377186648064 -386571309940736 14158607296757760 33980657512218624 28631850311221248 10068342966583296 1258542870822912", "new_number": "10.3", "id": 319, "operator_tex": "\\theta^4-x\\left(321\\theta^4+258\\theta^3+258\\theta^2+129\\theta+26\\right)+x^{2}\\left(74028\\theta^3+14112+55150\\theta+89219\\theta^2+46467\\theta^4\\right)-2^{3} x^{3}\\left(499260\\theta^4+1184748\\theta^3+1665809\\theta^2+1187841\\theta+345452\\right)+2^{4} 3 x^{4}\\left(4702665\\theta^4+14805730\\theta^3+23754818\\theta^2+18867201\\theta+5979118\\right)-2^{6} x^{5}\\left(136927125\\theta^4+537349854\\theta^3+968406086\\theta^2+839579917\\theta+283906432\\right)+2^{6} x^{6}\\left(3697617171\\theta^4+17401686816\\theta^3+34821823585\\theta^2+32540314464\\theta+11600569724\\right)-2^{9} x^{7}\\left(8571324186\\theta^4+47135706036\\theta^3+103830096399\\theta^2+103713883221\\theta+38684901782\\right)+2^{12} x^{8}\\left(13055773347\\theta^4+82367586444\\theta^3+198438600506\\theta^2+210671505052\\theta+81797663483\\right)-2^{16} 137 x^{9}(2\\theta+3)(21527774\\theta^3+121431015\\theta^2+220937755\\theta+121634574)+2^{20} 3 73^{2} 137^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "2 421/9", "discriminant": "10 1 -321 46467 -3994080 225727920 -8763336000 236647498944 -4388517983232 53476447629312 -386571309940736 1258542870822912", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "5219414e025733d8e128028821370b4b", "dim_h": null, "inst": " 2 -3/2 421/9 -519/2 285 -77417/6 98268 -807195/2 20513023/3 -58806463", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z-1)(42632z^3-3675z^2+105z-1)(32z-1)^2(1096z^2-64z+1)^2", "discr_factors": "1258542870822912, z-1/24, z^3-3675/42632*z^2+105/42632*z-1/42632, (z^2-8/137*z+1/1096)^2, (z-1/32)^2", "dm_basis": null, "q": "0 1 -25 552 -11513 232073 -4559826 87946426 -1672297261 31438664415", "yuk": "1 2 -10 1265 -16618 35627 -2785759 33705926 -206658538 4984665854", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-105/85264*3^(2/3)-27/85264*3^(1/3)+1225/42632","im":"-1/2*3^(1/2)*(105/42632*3^(2/3)-27/42632*3^(1/3))","approx_re":"0.025716","approx_im":"-0.003646","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-105/85264*3^(2/3)-27/85264*3^(1/3)+1225/42632","im":"1/2*3^(1/2)*(105/42632*3^(2/3)-27/42632*3^(1/3))","approx_re":"0.025716","approx_im":"0.003646","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"4/137","im":"-3/548*2^(1/2)","approx_re":"0.029197080292","approx_im":"-0.007742","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"4/137","im":"3/548*2^(1/2)","approx_re":"0.029197080292","approx_im":"0.007742","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"105/42632*3^(2/3)+27/42632*3^(1/3)+1225/42632","im":"0","approx_re":"0.034771","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 14+63*X+102*X^2+78*X^3+231*X^4, 2832+13390*X+24563*X^2+19308*X^3+21987*X^4, 352672+1419720*X+2324296*X^2+1805664*X^3+1125600*X^4, 23999328+84832080*X+121146528*X^2+84946080*X^3+34238160*X^4, 1011937792+3163755712*X+3898985600*X^2+2317524096*X^3+658987200*X^4, 29930864384+82679261184*X+86846564416*X^2+42229069824*X^3+8773650624*X^4, 636308921344+1594777115136*X+1456912535040*X^2+585238996992*X^3+91840361472*X^4, 8156255989760+19399756595200*X+16303641829376*X^2+5801678782464*X^3+757052485632*X^4, 3080192*(2*X+3)*(622034*X^3+4130865*X^2+8390461*X+4891218), 2008235900928*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.4\" from ...", "degz": 10, "h3": null, "sol": "1 -14 250 -5192 116266 -2739044 67228336 -1704859520 44385556138 -1180977725564", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 14 63 102 78 231 2832 13390 24563 19308 21987 352672 1419720 2324296 1805664 1125600 23999328 84832080 121146528 84946080 34238160 1011937792 3163755712 3898985600 2317524096 658987200 29930864384 82679261184 86846564416 42229069824 8773650624 636308921344 1594777115136 1456912535040 585238996992 91840361472 8156255989760 19399756595200 16303641829376 5801678782464 757052485632 45197671661568 107664473653248 89860033675264 31195667103744 3831968301056 90370615541760 216889477300224 182749466984448 64263548829696 8032943603712", "new_number": "10.4", "id": 320, "operator_tex": "\\theta^4+x\\left(14+63\\theta+102\\theta^2+78\\theta^3+231\\theta^4\\right)+x^{2}\\left(2832+13390\\theta+24563\\theta^2+19308\\theta^3+21987\\theta^4\\right)+2^{3} x^{3}\\left(140700\\theta^4+225708\\theta^3+290537\\theta^2+177465\\theta+44084\\right)+2^{4} 3 x^{4}\\left(713295\\theta^4+1769710\\theta^3+2523886\\theta^2+1767335\\theta+499986\\right)+2^{6} x^{5}\\left(10296675\\theta^4+36211314\\theta^3+60921650\\theta^2+49433683\\theta+15811528\\right)+2^{6} x^{6}\\left(137088291\\theta^4+659829216\\theta^3+1356977569\\theta^2+1291863456\\theta+467669756\\right)+2^{9} x^{7}\\left(179375706\\theta^4+1143044916\\theta^3+2845532295\\theta^2+3114799053\\theta+1242790862\\right)+2^{12} x^{8}\\left(184827267\\theta^4+1416425484\\theta^3+3980381306\\theta^2+4736268700\\theta+1991273435\\right)+2^{16} 47 x^{9}(2\\theta+3)(622034\\theta^3+4130865\\theta^2+8390461\\theta+4891218)+2^{20} 3 17^{2} 47^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "10 7709/9", "discriminant": "10 1 231 21987 1125600 34238160 658987200 8773650624 91840361472 757052485632 3831968301056 8032943603712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6162ae56594cb4ca6830174a8ed00300", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(24z+1)(2312z^3+75z^2+15z+1)(32z+1)^2(376z^2+64z+1)^2", "discr_factors": "8032943603712, (z^2+8/47*z+1/376)^2, z^3+75/2312*z^2+15/2312*z+1/2312, (z+1/32)^2, z+1/24", "dm_basis": null, "q": "0 1 7 48 167 8969 -74274 2936074 -67129997 1764498447", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-4/47-9/188*2^(1/2)","im":"0","approx_re":"-0.152808","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-81/2312*3^(2/3)+45/2312*3^(1/3)-25/2312","im":"0","approx_re":"-0.055617","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/47+9/188*2^(1/2)","im":"0","approx_re":"-0.017405","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"81/4624*3^(2/3)-45/4624*3^(1/3)-25/2312","im":"1/2*3^(1/2)*(-81/2312*3^(2/3)-45/2312*3^(1/3))","approx_re":"0.011589","approx_im":"-0.087422","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"81/4624*3^(2/3)-45/4624*3^(1/3)-25/2312","im":"-1/2*3^(1/2)*(-81/2312*3^(2/3)-45/2312*3^(1/3))","approx_re":"0.011589","approx_im":"0.087422","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -5-36*X-102*X^2-132*X^3-42*X^4, 321+2500*X+5078*X^2+2676*X^3-126*X^4, 58511+193314*X+255284*X^2+165228*X^3+36750*X^4, 1611441+4909812*X+5455362*X^2+2364420*X^3+447228*X^4, 18978161+48287282*X+41352784*X^2+10485348*X^3-282726*X^4, 75240839+129474252*X+18361102*X^2-64936644*X^3-20164434*X^4, -192652267-790586058*X-1080753300*X^2-555817116*X^3-53729334*X^4, -1469856277-3396870740*X-2385867946*X^2-267688500*X^3+184083363*X^4, 130*(2*X+3)*(3678542*X^3+13483935*X^2+14333215*X+4727112), 270180300*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.5\" from ...", "degz": 10, "h3": null, "sol": "1 5 79 791 -9329 -1034845 -45123875 -1431367555 -32543228945 -266417680645", "n_discr_factors": "5", "c3": null, "operator": "4 10 0 0 0 0 1 -5 -36 -102 -132 -42 321 2500 5078 2676 -126 58511 193314 255284 165228 36750 1611441 4909812 5455362 2364420 447228 18978161 48287282 41352784 10485348 -282726 75240839 129474252 18361102 -64936644 -20164434 -192652267 -790586058 -1080753300 -555817116 -53729334 -1469856277 -3396870740 -2385867946 -267688500 184083363 1843573680 6819002970 8985370550 4940454480 956420920 12158113500 29179472400 24586407300 8645769600 1080721200", "new_number": "10.5", "id": 321, "operator_tex": "\\theta^4-x\\left(5+36\\theta+102\\theta^2+132\\theta^3+42\\theta^4\\right)+x^{2}\\left(321+2500\\theta+5078\\theta^2+2676\\theta^3-126\\theta^4\\right)+x^{3}\\left(58511+193314\\theta+255284\\theta^2+165228\\theta^3+36750\\theta^4\\right)+3 x^{4}\\left(149076\\theta^4+788140\\theta^3+1818454\\theta^2+1636604\\theta+537147\\right)+x^{5}\\left(18978161+48287282\\theta+41352784\\theta^2+10485348\\theta^3-282726\\theta^4\\right)+x^{6}\\left(75240839+129474252\\theta+18361102\\theta^2-64936644\\theta^3-20164434\\theta^4\\right)-x^{7}\\left(192652267+790586058\\theta+1080753300\\theta^2+555817116\\theta^3+53729334\\theta^4\\right)-x^{8}\\left(1469856277+3396870740\\theta+2385867946\\theta^2+267688500\\theta^3-184083363\\theta^4\\right)+2 5 13 x^{9}(2\\theta+3)(3678542\\theta^3+13483935\\theta^2+14333215\\theta+4727112)+2^{2} 3 5^{2} 13^{2} 73^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "8 -830/9", "discriminant": "10 1 -42 -126 36750 447228 -282726 -20164434 -53729334 184083363 956420920 1080721200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "26cb7b62aea8fead9548cb08c510d8cc", "dim_h": null, "inst": " 8 -45/2 -830/9 -5301/2 2790 787217/6 7180248 115903851/2 -289645460/3 -32500367598", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "8", "laurent": null, "discriminant_tex": "(3z+1)(5329z^3+1587z^2-69z+1)(13z+1)^2(4z+1)^2(5z-1)^2", "discr_factors": "1080721200, (z+1/13)^2, (z-1/5)^2, z+1/3, (z+1/4)^2, z^3+1587/5329*z^2-69/5329*z+1/5329", "dm_basis": null, "q": "0 1 -16 210 -1130 5999 2238 -1276979 -17197546 87824205", "yuk": "1 8 -172 -2482 -169804 348758 28337150 2462825072 29671216052 -70383849262", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-324/5329*3^(2/3)-414/5329*3^(1/3)-529/5329","im":"0","approx_re":"-0.337782","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/13","im":"0","approx_re":"-0.0769230769231","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"162/5329*3^(2/3)+207/5329*3^(1/3)-529/5329","im":"1/2*3^(1/2)*(-324/5329*3^(2/3)+414/5329*3^(1/3))","approx_re":"0.019989","approx_im":"-0.01249","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"162/5329*3^(2/3)+207/5329*3^(1/3)-529/5329","im":"-1/2*3^(1/2)*(-324/5329*3^(2/3)+414/5329*3^(1/3))","approx_re":"0.019989","approx_im":"0.01249","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5","im":"0","approx_re":"0.2","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -24*X^3+84*X^4+4+12*X, -896*X-528-256*X^2-1536*X^3+2016*X^4, -10432-14464*X^2-21504*X^3+5376*X^4-23424*X, 3072000*X^3+239616*X^4+2500608+7127040*X+7557120*X^2, 528994304*X+200302592+512352256*X^2+205283328*X^3+28790784*X^4, 14929625088*X+4824367104*X^3+13212516352*X^2+6033784832+631603200*X^4, 183785619456*X+46446673920*X^3+146370330624*X^2+79572303872+5081923584*X^4, 340338409472+717557334016*X+9616490496*X^4+122922467328*X^3+490150559744*X^2, -8388608*(2*X+3)*(2114*X^3+16713*X^2+37111*X+22497), 5033164800*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.6\" from ...", "degz": 10, "h3": null, "sol": "1 -4 52 -688 2500 -124624 660976 -2006848 504491332 4419175280", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 4 12 0 -24 84 -528 -896 -256 -1536 2016 -10432 -23424 -14464 -21504 5376 2500608 7127040 7557120 3072000 239616 200302592 528994304 512352256 205283328 28790784 6033784832 14929625088 13212516352 4824367104 631603200 79572303872 183785619456 146370330624 46446673920 5081923584 340338409472 717557334016 490150559744 122922467328 9616490496 -566155542528 -1311365922816 -1043215679488 -333598162944 -35467034624 226492416000 543581798400 458017996800 161061273600 20132659200", "new_number": "10.6", "id": 322, "operator_tex": "\\theta^4+2^{2} x\\left(21\\theta^4-6\\theta^3+3\\theta+1\\right)+2^{4} x^{2}\\left(126\\theta^4-96\\theta^3-16\\theta^2-56\\theta-33\\right)+2^{6} x^{3}\\left(84\\theta^4-336\\theta^3-226\\theta^2-366\\theta-163\\right)+2^{11} 3 x^{4}\\left(39\\theta^4+500\\theta^3+1230\\theta^2+1160\\theta+407\\right)+2^{12} x^{5}\\left(7029\\theta^4+50118\\theta^3+125086\\theta^2+129149\\theta+48902\\right)+2^{14} x^{6}\\left(38550\\theta^4+294456\\theta^3+806428\\theta^2+911232\\theta+368273\\right)+2^{16} x^{7}\\left(77544\\theta^4+708720\\theta^3+2233434\\theta^2+2804346\\theta+1214177\\right)+2^{20} x^{8}\\left(9171\\theta^4+117228\\theta^3+467444\\theta^2+684316\\theta+324572\\right)-2^{23} x^{9}(2\\theta+3)(2114\\theta^3+16713\\theta^2+37111\\theta+22497)+2^{26} 3 5^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "8 2200/9", "discriminant": "10 1 84 2016 5376 239616 28790784 631603200 5081923584 9616490496 -35467034624 20132659200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b5aa0abf76ddfbd280ec220a43822aa4", "dim_h": null, "inst": " 8 -75/2 2200/9 -8117/2 47936 -4052675/6 11499480 -175321542 2998366528 -53613060132", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z+1)(6400z^3+192z^2-24z+1)(16z+1)^2(32z^2-32z-1)^2", "discr_factors": "20132659200, (z+1/16)^2, z+1/12, z^3+3/100*z^2-3/800*z+1/6400, (z^2-z-1/32)^2", "dm_basis": null, "q": "0 1 -4 6 464 3333 -67896 874138 -18622400 293110866", "yuk": "1 8 -292 6608 -260036 5992008 -145889992 3944321648 -89764889540 2185809205520", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-9/200*2^(1/3)-3/200*2^(2/3)-1/100","im":"0","approx_re":"-0.090507","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2-3/8*2^(1/2)","im":"0","approx_re":"-0.03033","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"9/400*2^(1/3)+3/400*2^(2/3)-1/100","im":"1/8*3^(1/2)*(-9/50*2^(1/3)+3/50*2^(2/3))","approx_re":"0.030254","approx_im":"-0.02848","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/400*2^(1/3)+3/400*2^(2/3)-1/100","im":"-1/8*3^(1/2)*(-9/50*2^(1/3)+3/50*2^(2/3))","approx_re":"0.030254","approx_im":"0.02848","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2+3/8*2^(1/2)","im":"0","approx_re":"1.03033","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16-84*X-180*X^2-192*X^3-192*X^4, 5952+23296*X+37760*X^2+31296*X^3+16704*X^4, -694592-2356032*X-3250880*X^2-2280192*X^3-865920*X^4, 40713984+127266816*X+158593536*X^2+98319360*X^3+29657088*X^4, -1449089024-4294181888*X-4970619904*X^2-2780086272*X^3-701853696*X^4, 34139856896+96861929472*X+105196011520*X^2+53599420416*X^3+11625332736*X^4, -543702794240-1480077656064*X-1512235352064*X^2-705261797376*X^3-132992630784*X^4, 5684261224448+14858703339520*X+14290280382464*X^2+6101819719680*X^3+1003990745088*X^4, -13107200*(2*X+3)*(171838*X^3+939735*X^2+1668155*X+905358), 2272788480000*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.7\" from ...", "degz": 10, "h3": null, "sol": "1 16 292 5728 115012 2225536 37164976 345546112 -10171713212 -843836295488", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -16 -84 -180 -192 -192 5952 23296 37760 31296 16704 -694592 -2356032 -3250880 -2280192 -865920 40713984 127266816 158593536 98319360 29657088 -1449089024 -4294181888 -4970619904 -2780086272 -701853696 34139856896 96861929472 105196011520 53599420416 11625332736 -543702794240 -1480077656064 -1512235352064 -705261797376 -132992630784 5684261224448 14858703339520 14290280382464 6101819719680 1003990745088 -35600125132800 -89327940403200 -80681566208000 -31391534284800 -4504630067200 102275481600000 245461155840000 206823751680000 72729231360000 9091153920000", "new_number": "10.7", "id": 323, "operator_tex": "\\theta^4-2^{2} x\\left(48\\theta^4+48\\theta^3+45\\theta^2+21\\theta+4\\right)+2^{6} x^{2}\\left(261\\theta^4+489\\theta^3+590\\theta^2+364\\theta+93\\right)-2^{6} x^{3}\\left(13530\\theta^4+35628\\theta^3+50795\\theta^2+36813\\theta+10853\\right)+2^{8} 3 x^{4}\\left(38616\\theta^4+128020\\theta^3+206502\\theta^2+165712\\theta+53013\\right)-2^{10} x^{5}\\left(685404\\theta^4+2714928\\theta^3+4854121\\theta^2+4193537\\theta+1415126\\right)+2^{13} x^{6}\\left(1419108\\theta^4+6542898\\theta^3+12841310\\theta^2+11823966\\theta+4167463\\right)-2^{14} x^{7}\\left(8117226\\theta^4+43045764\\theta^3+92299521\\theta^2+90336771\\theta+33184985\\right)+2^{16} x^{8}\\left(15319683\\theta^4+93106380\\theta^3+218052374\\theta^2+226725820\\theta+86734943\\right)-2^{19} 5^{2} x^{9}(2\\theta+3)(171838\\theta^3+939735\\theta^2+1668155\\theta+905358)+2^{22} 3 5^{4} 17^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "4 -628/9", "discriminant": "10 1 -192 16704 -865920 29657088 -701853696 11625332736 -132992630784 1003990745088 -4504630067200 9091153920000", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d5910f048831bb407eb8998c7c57e09f", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "8", "laurent": null, "discriminant_tex": "(12z-1)(18496z^3-2352z^2+84z-1)(16z-1)^2(400z^2-32z+1)^2", "discr_factors": "9091153920000, (z^2-2/25*z+1/400)^2, (z-1/16)^2, z^3-147/1156*z^2+21/4624*z-1/18496, z-1/12", "dm_basis": null, "q": "0 1 -20 342 -5200 78917 -1171416 17002890 -245182528 3470494482", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"-1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"-0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/2312*2^(1/3)-9/2312*2^(2/3)+49/1156","im":"1/8*3^(1/2)*(21/289*2^(1/3)-9/289*2^(2/3))","approx_re":"0.024764","approx_im":"0.009119","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"-3/100","approx_re":"0.04","approx_im":"-0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/25","im":"3/100","approx_re":"0.04","approx_im":"0.03","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"21/1156*2^(1/3)+9/1156*2^(2/3)+49/1156","im":"0","approx_re":"0.077634","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -147*X^2-10-60*X-174*X^3-111*X^4, 18380*X^2+5076*X^4+10888*X+14304*X^3+2556, -112944*X^4-369024*X^3-119984-401628*X-542564*X^2, 7969200*X^2+1990416+6155424*X+5629440*X^3+1676736*X^4, -89513152*X^2-17032896*X^4-67618112*X-60012672*X^3-20803904, 193077248+611573760*X+755942656*X^2+450177024*X^3+122568960*X^4, -4550648064*X^2-1333660160-3960000768*X-2501283840*X^3-607021056*X^4, 6398194688+18093783040*X+19412612096*X^2+9592946688*X^3+1898090496*X^4, -45056*(2*X+3)*(36502*X^3+178659*X^2+286703*X+145866), 594739200*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"10.8\" from ...", "degz": 10, "h3": null, "sol": "1 10 154 2548 27370 -629180 -62562140 -3052891160 -114482112470 -3396152419100", "n_discr_factors": "4", "c3": null, "operator": "4 10 0 0 0 0 1 -10 -60 -147 -174 -111 2556 10888 18380 14304 5076 -119984 -401628 -542564 -369024 -112944 1990416 6155424 7969200 5629440 1676736 -20803904 -67618112 -89513152 -60012672 -17032896 193077248 611573760 755942656 450177024 122568960 -1333660160 -3960000768 -4550648064 -2501283840 -607021056 6398194688 18093783040 19412612096 9592946688 1898090496 -19716415488 -51897348096 -49984360448 -21033222144 -3289268224 26763264000 64231833600 54121267200 19031654400 2378956800", "new_number": "10.8", "id": 324, "operator_tex": "\\theta^4-x\\left(147\\theta^2+10+60\\theta+174\\theta^3+111\\theta^4\\right)+2^{2} x^{2}\\left(1269\\theta^4+3576\\theta^3+4595\\theta^2+2722\\theta+639\\right)-2^{2} x^{3}\\left(28236\\theta^4+92256\\theta^3+135641\\theta^2+100407\\theta+29996\\right)+2^{4} 3 x^{4}\\left(34932\\theta^4+117280\\theta^3+166025\\theta^2+128238\\theta+41467\\right)-2^{6} x^{5}\\left(266139\\theta^4+937698\\theta^3+1398643\\theta^2+1056533\\theta+325061\\right)+2^{8} x^{6}\\left(478785\\theta^4+1758504\\theta^3+2952901\\theta^2+2388960\\theta+754208\\right)-2^{8} x^{7}\\left(2371176\\theta^4+9770640\\theta^3+17775969\\theta^2+15468753\\theta+5209610\\right)+2^{10} x^{8}\\left(1853604\\theta^4+9368112\\theta^3+18957629\\theta^2+17669710\\theta+6248237\\right)-2^{12} 11 x^{9}(2\\theta+3)(36502\\theta^3+178659\\theta^2+286703\\theta+145866)+2^{16} 3 5^{2} 11^{2} x^{10}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "7 -2044/9", "discriminant": "10 1 -111 5076 -112944 1676736 -17032896 122568960 -607021056 1898090496 -3289268224 2378956800", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "772d055ae4c1a5d6a65a2b1f3ffa351b", "dim_h": null, "inst": " 7 -31/4 -2044/9 -1380 -8520 1625077/9 5885526 71672646 -85064144/3 -25138098376", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(3z-1)(6400z^3-2352z^2+84z-1)(4z-1)^2(88z^2-8z+1)^2", "discr_factors": "2378956800, z-1/3, (z-1/4)^2, (z^2-1/11*z+1/88)^2, z^3-147/400*z^2+21/1600*z-1/6400", "dm_basis": null, "q": "0 1 -20 336 -3940 48068 -537504 4863106 -72753176 674265258", "yuk": "1 7 -55 -6125 -88375 -1064993 38995661 2018735425 36696306377 -20670593117", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/800*3^(2/3)-27/800*3^(1/3)+49/400","im":"-1/8*3^(1/2)*(21/100*3^(2/3)-27/100*3^(1/3))","approx_re":"0.019222","approx_im":"-0.010265","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-21/800*3^(2/3)-27/800*3^(1/3)+49/400","im":"1/8*3^(1/2)*(21/100*3^(2/3)-27/100*3^(1/3))","approx_re":"0.019222","approx_im":"0.010265","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/22","im":"-3/44*2^(1/2)","approx_re":"0.0454545454545","approx_im":"-0.096424","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/22","im":"3/44*2^(1/2)","approx_re":"0.0454545454545","approx_im":"0.096424","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"21/400*3^(2/3)+27/400*3^(1/3)+49/400","im":"0","approx_re":"0.329056","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3","im":"0","approx_re":"0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -10*X*(15+71*X+112*X^2+38*X^3), -24000-77440*X-98716*X^2-63488*X^3-17456*X^4, 118800+126720*X-74160*X^2-161280*X^3-66240*X^4, 8475840+20583936*X+17368704*X^2+6045696*X^3+707328*X^4, 41472*(X+1)*(38*X^3+74*X^2-304*X-495), -82944*(2*X+13)*(2*X+3)*(17*X+39)*(X+1), -2985984*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"7.16\" from ...", "degz": 7, "h3": null, "sol": "1 0 60 480 16524 332640 9211920 241315200 6825804300 195543163200", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 25 0 -150 -710 -1120 -380 -24000 -77440 -98716 -63488 -17456 118800 126720 -74160 -161280 -66240 8475840 20583936 17368704 6045696 707328 -20528640 -33136128 -9538560 4644864 1575936 -126157824 -284663808 -216566784 -63700992 -5640192 -134369280 -322486272 -271724544 -95551488 -11943936", "new_number": "7.16", "id": 438, "operator_tex": "5^{2} \\theta^4-2 5 x\\theta(15+71\\theta+112\\theta^2+38\\theta^3)-2^{2} x^{2}\\left(4364\\theta^4+15872\\theta^3+24679\\theta^2+19360\\theta+6000\\right)-2^{4} 3^{2} 5 x^{3}\\left(92\\theta^4+224\\theta^3+103\\theta^2-176\\theta-165\\right)+2^{6} 3^{2} x^{4}\\left(1228\\theta^4+10496\\theta^3+30154\\theta^2+35736\\theta+14715\\right)+2^{9} 3^{4} x^{5}(\\theta+1)(38\\theta^3+74\\theta^2-304\\theta-495)-2^{10} 3^{4} x^{6}(2\\theta+13)(2\\theta+3)(17\\theta+39)(\\theta+1)-2^{12} 3^{6} x^{7}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "22/5 68", "discriminant": "7 25 -380 -17456 -66240 707328 1575936 -5640192 -11943936", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "660211ce6175f36772066594bfc33cbb", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+5)^2(12z+1)^2(4z-1)^2", "discr_factors": "-11943936, (z+5/12)^2, (z-1/4)^2, (z+1/12)^2, -1/36+z", "dm_basis": null, "q": "0 1 -6 -55 444 -2012 -40662 -48142 -5216472 -98264672", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/12","im":"0","approx_re":"-0.416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 27+132*X+258*X^2+252*X^3+261*X^4, 12582+47520*X+73764*X^2+58104*X^3+29106*X^4, 1986768+6507054*X+8543394*X^2+5552064*X^3+1797714*X^4, 151397262+448488090*X+515524014*X^2+281458152*X^3+66412629*X^4, 6111709281+16709489190*X+17145782568*X^2+7984605780*X^3+1467308601*X^4, 1771470*(2*X+3)*(5066*X^3+26325*X^2+44815*X+23766), 23436548100*(X+1)*(2*X+5)*(2*X+3)*(X+3)]", "text": "This is operator \"7.17\" from ...", "degz": 7, "h3": null, "sol": "1 -27 783 -23481 717903 -22219677 693312669 -21750039891 684693321327 -21597894376101", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 1 27 132 258 252 261 12582 47520 73764 58104 29106 1986768 6507054 8543394 5552064 1797714 151397262 448488090 515524014 281458152 66412629 6111709281 16709489190 17145782568 7984605780 1467308601 126302268060 322366796190 298678699350 120190696560 17948534040 1054644664500 2531147194800 2132725877100 749969539200 93746192400", "new_number": "7.17", "id": 439, "operator_tex": "\\theta^4+3 x\\left(87\\theta^4+84\\theta^3+86\\theta^2+44\\theta+9\\right)+2 3^{3} x^{2}\\left(539\\theta^4+1076\\theta^3+1366\\theta^2+880\\theta+233\\right)+2 3^{5} x^{3}\\left(3699\\theta^4+11424\\theta^3+17579\\theta^2+13389\\theta+4088\\right)+3^{7} x^{4}\\left(30367\\theta^4+128696\\theta^3+235722\\theta^2+205070\\theta+69226\\right)+3^{9} x^{5}\\left(74547\\theta^4+405660\\theta^3+871096\\theta^2+848930\\theta+310507\\right)+2 3^{11} 5 x^{6}(2\\theta+3)(5066\\theta^3+26325\\theta^2+44815\\theta+23766)+2^{2} 3^{14} 5^{2} 7^{2} x^{7}(\\theta+1)(2\\theta+5)(2\\theta+3)(\\theta+3)", "superseek": "0 18", "discriminant": "7 1 261 29106 1797714 66412629 1467308601 17948534040 93746192400", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c248fd7c807d0aae71ef687a9ee40c80", "dim_h": null, "inst": " 0 -27/2 18 -999/2 1566 -63197/2 145800 -5170527/2 46391668/3 -249533325", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(27z+1)(1323z^2+72z+1)(36z+1)^2(45z+1)^2", "discr_factors": "93746192400, (z+1/36)^2, z^2+8/147*z+1/1323, z+1/27, (z+1/45)^2", "dm_basis": null, "q": "0 1 24 522 10670 210759 4055238 76621037 1426709406 26268081381", "yuk": "1 0 -108 486 -32076 195750 -6824898 50009400 -1323686988 11273175810", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/147","im":"-1/441*3^(1/2)","approx_re":"-0.0272108843537","approx_im":"-0.003928","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/147","im":"1/441*3^(1/2)","approx_re":"-0.0272108843537","approx_im":"0.003928","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/45","im":"0","approx_re":"-0.0222222222222","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","5/2","3"],"monodromy":[],"monodromy_dm":[]}]}]}