{"count": 2, "status":"OK", "data":[{"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 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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, -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, 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