{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -1188*(X+1/2)^4-1092*(X+1/2)^2-141/4, 535086*(X+1)^4+1287495/2*(X+1)^2+223011/4, -820125*(X+3/2)^2*(132*(X+3/2)^2+103), 922640625/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-operator equivalent to AESZ $=b \\ast h ~B \\ast \\eta$", "degz": 4, "h3": null, "sol": "1 765/2 1009575/8 627988725/16 1505754528075/128 876427978866363/256 992952700080876675/1024 547116035902478345925/2048 2338776827733813875961075/32768 1204708667299330204097718975/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -765/2 -1686 -2874 -2376 -1188 4938345/4 3427839 7708527/2 2140344 535086 -738112500 -1714881375 -1545935625 -649539000 -108256500 1979064140625/16 256494093750 393967546875/2 66430125000 8303765625", "new_number": "4.12", "id": 107, "operator_tex": "\\theta^4-x\\left(1188\\theta^4+2376\\theta^3+2874\\theta^2+1686\\theta+765/2\\right)+x^{2}\\left(535086\\theta^4+2140344\\theta^3+7708527/2\\theta^2+3427839\\theta+4938345/4\\right)-3^{8} 5^{3} x^{3}(33\\theta^2+99\\theta+100)(2\\theta+3)^2+x^{4}922640625/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-45 7080", "discriminant": "4 1 -1188 535086 -108256500 8303765625", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "6c95cb50a57e8a1c96a5a4e3e353cb85", "dim_h": null, "inst": " -45 -135 7080 406035 17168436 631199430 17671792905 115936332615 -29577913105800 -2692376094481614", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-594z+91125z^2)^2", "discr_factors": "8303765625, (1/91125-22/3375*z+z^2)^2", "dm_basis": null, "q": "0 1 -156 18144 -1724866 150548730 -12113124102 936247114643 -69434363509134 5017792372971057", "yuk": "1 -45 -1125 191115 25985115 2146054455 136339266915 6061424966370 59359428283995 -21562298653937085", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/3375","im":"-2/3375","approx_re":"0.00325925925926","approx_im":"-0.000592592592593","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/3375","im":"2/3375","approx_re":"0.00325925925926","approx_im":"0.000592592592593","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1836*(X+1/2)^4-1614*(X+1/2)^2-177/4, 844182*(X+1)^4+23571/2*(X+1)^2+2835/4, -6561*(X+3/2)^2*(204*(X+3/2)^2+151), 59049/16*(2*X+3)*(2*X+5)*(6*X+11)*(6*X+13)]", "text": "YY-Operator equivalent to AESZ 53 =$B \\ast \\gamma \\tilde g \\ast h$", "degz": 4, "h3": null, "sol": "1 1125/2 3219615/8 5002535925/16 32404173968475/128 53796434927016771/256 181612568805465855915/1024 310214532003511738962645/2048 4276965511967012944282192275/32768 7422128578198801501629900794775/65536", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -1125/2 -2532 -4368 -3672 -1836 3426705/4 3400299 10153755/2 3376728 844182 -18009945/2 -21041127 -19059705 -8030664 -1338444 126660105/16 16415622 25213923/2 4251528 531441", "new_number": "4.8", "id": 180, "operator_tex": "\\theta^4-x\\left(1836\\theta^4+3672\\theta^3+4368\\theta^2+2532\\theta+1125/2\\right)+x^{2}\\left(844182\\theta^4+3376728\\theta^3+10153755/2\\theta^2+3400299\\theta+3426705/4\\right)-x^{3}6561/2(2\\theta+3)^2(102\\theta^2+306\\theta+305)+x^{4}59049/16(2\\theta+3)(2\\theta+5)(6\\theta+11)(6\\theta+13)", "superseek": "-135 -417685", "discriminant": "4 1 -1836 844182 -1338444 531441", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "f5702d0b3fd53e9b80a42c76a335b648", "dim_h": null, "inst": " -135 -22815/4 -417685 -78983235/2 -4331084310 -2089942400125/4 -67374991615680 -18252405254369835/2 -1283816640590794765 -372187037770688515995/2", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-918z+729z^2)^2", "discr_factors": "531441, (1/729-34/27*z+z^2)^2", "dm_basis": null, "q": "0 1 -282 25119 -1071652 25356255 -1131124770 -48836642899 -12516628400052 -1895689264678308", "yuk": "1 -135 -45765 -11277630 -2527509285 -541385538885 -112856900930010 -23109622124178375 -4672615747646187045 -935902330990700661315", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27-4/9*2^(1/2)","im":"0","approx_re":"0.00109","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27+4/9*2^(1/2)","im":"0","approx_re":"1.258169","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","11/6","13/6","5/2"],"monodromy":[],"monodromy_dm":[]}]}]}