{"count": 2, "status":"OK", "data":[{"pols": "[49*X^4, 98-336*X^3-840*X^4+126*X^2+294*X, -31108-25968*X^4-186660*X^2-120768*X^3-123144*X, 58112*X^4-440832*X^3-1217328-2142720*X^2-2782080*X, 61952+7815168*X^2+3895296*X+5259264*X^3+909312*X^4, 17874944+42074112*X+7864320*X^3+33030144*X^2-786432*X^4, -524288*(2*X+3)^4]", "text": "This is operator \"6.36\" from ...", "degz": 6, "h3": null, "sol": "1 -2 38 204 7462 129284 3308860 75931544 1941436582 49216354516", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 49 98 294 126 -336 -840 -31108 -123144 -186660 -120768 -25968 -1217328 -2782080 -2142720 -440832 58112 61952 3895296 7815168 5259264 909312 17874944 42074112 33030144 7864320 -786432 -42467328 -113246208 -113246208 -50331648 -8388608", "new_number": "6.36", "id": 421, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(60\\theta^4+24\\theta^3-9\\theta^2-21\\theta-7\\right)-2^{2} x^{2}\\left(6492\\theta^4+30192\\theta^3+46665\\theta^2+30786\\theta+7777\\right)+2^{4} x^{3}\\left(3632\\theta^4-27552\\theta^3-133920\\theta^2-173880\\theta-76083\\right)+2^{9} x^{4}\\left(1776\\theta^4+10272\\theta^3+15264\\theta^2+7608\\theta+121\\right)-2^{14} x^{5}\\left(48\\theta^4-480\\theta^3-2016\\theta^2-2568\\theta-1091\\right)-2^{19} x^{6}\\left((2\\theta+3)^4\\right)", "superseek": "10/7 508/7", "discriminant": "6 49 -840 -25968 58112 909312 -786432 -8388608", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b890cacbc73012eb6554263c3ea04707", "dim_h": null, "inst": " 10/7 100/7 508/7 808 59910/7 855864/7 12382494/7 200115472/7 3327848026/7 58373507100/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(32z-1)(4z+1)^2(32z-7)^2", "discr_factors": "-8388608, z+1/16, (z+1/4)^2, z-1/32, (z-7/32)^2", "dm_basis": null, "q": "0 1 -2 -71 -236 -580 -16018 -462550 -8253320 -151220156", "yuk": "1 10/7 810/7 13726/7 362794/7 7488760/7 184881150/7 4247195452/7 102459484458/7 2426001224680/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/32","im":"0","approx_re":"0.21875","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -14*X*(46*X^3+52*X^2+33*X+7), -25088-106680*X-170532*X^2-115392*X^3-29328*X^4, -561568-1780464*X-1927728*X^2-716160*X^3-45760*X^4, -1561088-3332608*X-379392*X^2+3031040*X^3+1141760*X^4, 3112960+17940480*X+32292864*X^2+21626880*X^3+2850816*X^4, 3670016+11010048*X+4718592*X^2-12582912*X^3-11534336*X^4, -33554432*(X+1)^4]", "text": "This is operator \"7.1\" from ...", "degz": 7, "h3": "56", "sol": "1 0 32 288 7776 144000 3552800 82320000 2087125600 52959513600", "n_discr_factors": "4", "c3": "-64", "operator": "4 7 0 0 0 0 49 0 -98 -462 -728 -644 -25088 -106680 -170532 -115392 -29328 -561568 -1780464 -1927728 -716160 -45760 -1561088 -3332608 -379392 3031040 1141760 3112960 17940480 32292864 21626880 2850816 3670016 11010048 4718592 -12582912 -11534336 -33554432 -134217728 -201326592 -134217728 -33554432", "new_number": "7.1", "id": 442, "operator_tex": "7^{2} \\theta^4-2 7 x\\theta(46\\theta^3+52\\theta^2+33\\theta+7)-2^{2} x^{2}\\left(7332\\theta^4+28848\\theta^3+42633\\theta^2+26670\\theta+6272\\right)-2^{4} x^{3}\\left(2860\\theta^4+44760\\theta^3+120483\\theta^2+111279\\theta+35098\\right)+2^{9} x^{4}\\left(2230\\theta^4+5920\\theta^3-741\\theta^2-6509\\theta-3049\\right)+2^{14} x^{5}\\left(174\\theta^4+1320\\theta^3+1971\\theta^2+1095\\theta+190\\right)-2^{19} x^{6}\\left(22\\theta^4+24\\theta^3-9\\theta^2-21\\theta-7\\right)-2^{25} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "10/7 508/7", "discriminant": "7 49 -644 -29328 -45760 1141760 2850816 -11534336 -33554432", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": "80", "hash": "08ab3cb496250adfa30bc3e24ac63c4f", "dim_h": "16", "inst": " 10/7 100/7 508/7 808 59910/7 855864/7 12382494/7 200115472/7 3327848026/7 58373507100/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(32z-1)(32z-7)^2(4z+1)^3", "discr_factors": "-33554432, (z+1/4)^3, z-1/32, z+1/16, (z-7/32)^2", "dm_basis": null, "q": "0 1 -2 -71 -236 -580 -16018 -462550 -8253320 -151220156", "yuk": "1 10/7 810/7 13726/7 362794/7 7488760/7 184881150/7 4247195452/7 102459484458/7 2426001224680/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/32","im":"0","approx_re":"0.21875","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":[]}]}]}