{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -704*(X+1/2)^4-652*(X+1/2)^2-21, 187904*(X+1)^4+228672*(X+1)^2+19824, -128000*(X+3/2)^2*(176*(X+3/2)^2+141), 256000000*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-operator equivalent to AESZ 121 =$b \\ast e \\tilde A \\ast \\eta$", "degz": 4, "h3": null, "sol": "1 228 44716 8258768 1469227500 253733647728 42642370753264 6970600688094528 1105114457148006124 168933127196275073200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -228 -1004 -1708 -1408 -704 436400 1208960 1356096 751616 187904 -154656000 -358272000 -322176000 -135168000 -22528000 15360000000 31744000000 24320000000 8192000000 1024000000", "new_number": "4.6", "id": 170, "operator_tex": "\\theta^4-2^{2} x\\left(176\\theta^4+352\\theta^3+427\\theta^2+251\\theta+57\\right)+2^{4} x^{2}\\left(11744\\theta^4+46976\\theta^3+84756\\theta^2+75560\\theta+27275\\right)-2^{8} 5^{3} x^{3}(176\\theta^2+528\\theta+537)(2\\theta+3)^2+2^{14} 5^{6} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-28 1036", "discriminant": "4 1 -704 187904 -22528000 1024000000", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "e42780ff25b428328423d5eea814a37a", "dim_h": null, "inst": " -28 -21 1036 53976 1260496 31899337 507180268 3964357416 -299161562136 -16443487872164", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-352z+32000z^2)^2", "discr_factors": "1024000000, (1/32000-11/1000*z+z^2)^2", "dm_basis": null, "q": "0 1 -92 6310 -354928 18451201 -887962344 41276142642 -1847354908608 80878912980756", "yuk": "1 -28 -196 27944 3454268 157561972 6890284568 173962831896 2029754451260 -218088778769200", "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":"11/2000","im":"-1/1000","approx_re":"0.0055","approx_im":"-0.001","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2000","im":"1/1000","approx_re":"0.0055","approx_im":"0.001","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","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 30+174*X+417*X^2+486*X^3+297*X^4, 18792+83916*X+153090*X^2+119556*X^3+21870*X^4, 3551688+13060764*X+17583480*X^2+6456024*X^3-1023516*X^4, 214465968+599465448*X+424208016*X^2-365631408*X^3-157306536*X^4, 561201696-8851681296*X-30075309072*X^2-31223221632*X^3-1377495072*X^4, -146014477632-494520730848*X-450440888544*X^2+99179645184*X^3+247949112960*X^4, 148769467776*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"7.12\" from ...", "degz": 7, "h3": null, "sol": "1 -30 1458 -89076 6250050 -480036780 39218993100 -3347929943640 295182414161730 -26673786677257500", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 1 30 174 417 486 297 18792 83916 153090 119556 21870 3551688 13060764 17583480 6456024 -1023516 214465968 599465448 424208016 -365631408 -157306536 561201696 -8851681296 -30075309072 -31223221632 -1377495072 -146014477632 -494520730848 -450440888544 99179645184 247949112960 5206931372160 21125264424192 31985435571840 21422803359744 5355700839936", "new_number": "7.12", "id": 434, "operator_tex": "\\theta^4+3 x\\left(99\\theta^4+162\\theta^3+139\\theta^2+58\\theta+10\\right)+2 3^{4} x^{2}\\left(135\\theta^4+738\\theta^3+945\\theta^2+518\\theta+116\\right)-2^{2} 3^{7} x^{3}\\left(117\\theta^4-738\\theta^3-2010\\theta^2-1493\\theta-406\\right)-2^{3} 3^{10} x^{4}\\left(333\\theta^4+774\\theta^3-898\\theta^2-1269\\theta-454\\right)-2^{4} 3^{13} x^{5}\\left(54\\theta^4+1224\\theta^3+1179\\theta^2+347\\theta-22\\right)+2^{5} 3^{16} x^{6}\\left(180\\theta^4+72\\theta^3-327\\theta^2-359\\theta-106\\right)+2^{7} 3^{19} x^{7}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "-21 -7941", "discriminant": "7 1 297 21870 -1023516 -157306536 -1377495072 247949112960 5355700839936", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0841b278bc566a089b643bbe2460fe8b", "dim_h": null, "inst": " -21 -399 -7941 -986355/4 -8179455 -306790500 -12151571244 -1015240586355/2 -21975670374150 -980756726018385", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(27z+1)(54z+1)(54z-1)^2(108z+1)^3", "discr_factors": "5355700839936, (z+1/108)^3, z+1/54, (z-1/54)^2, z+1/27", "dm_basis": null, "q": "0 1 54 2565 125676 6195150 310093758 15690242988 802117062504 41365068279705", "yuk": "1 -21 -3213 -214428 -15784893 -1022431896 -66266965620 -4167988936713 -259901605891773 -16020263702969778", "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":"-1/54","im":"0","approx_re":"-0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","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":"1/54","im":"0","approx_re":"0.0185185185185","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":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}]}