{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -741*X^2-84-702*X^3-189*X^4-390*X, 84564*X^3+57672+195534*X^2+1458*X^4+171396*X, -6088608-6386040*X^2+1180980*X^4-12203460*X+2361960*X^3, -385944264*X-648121824*X^2-29760696*X^4-365631408*X^3-41570496, 16045266672*X-1836660096*X^3+8290479600*X^2-1836660096*X^4+7856823744, 1377495072*(3*X+5)*(3*X+4)*(2*X+3)^2]", "text": "This is operator \"6.35\" from ...", "degz": 6, "h3": null, "sol": "1 84 7452 692688 66448116 6513064848 648237493296 65250781987968 6624881063467092 677185739050601424", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -84 -390 -741 -702 -189 57672 171396 195534 84564 1458 -6088608 -12203460 -6386040 2361960 1180980 -41570496 -385944264 -648121824 -365631408 -29760696 7856823744 16045266672 8290479600 -1836660096 -1836660096 247949112960 665330119776 668085109920 297538935552 49589822592", "new_number": "6.35", "id": 420, "operator_tex": "\\theta^4-3 x\\left(63\\theta^4+234\\theta^3+247\\theta^2+130\\theta+28\\right)+2 3^{4} x^{2}\\left(9\\theta^4+522\\theta^3+1207\\theta^2+1058\\theta+356\\right)+2^{2} 3^{7} x^{3}\\left(135\\theta^4+270\\theta^3-730\\theta^2-1395\\theta-696\\right)-2^{3} 3^{10} x^{4}\\left(63\\theta^4+774\\theta^3+1372\\theta^2+817\\theta+88\\right)-2^{4} 3^{13} x^{5}\\left(72\\theta^4+72\\theta^3-325\\theta^2-629\\theta-308\\right)+2^{5} 3^{16} x^{6}(3\\theta+5)(3\\theta+4)(2\\theta+3)^2", "superseek": null, "discriminant": "6 1 -189 1458 1180980 -29760696 -1836660096 49589822592", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "de26083962cade55a4938b4011d0008e", "dim_h": null, "inst": " 21 -1617/4 7941 -986355/4 8179455 -1227169941/4 12151571244 -1015240586355/2 21975670374150 -3923026912252995/4", "cleanlist": "False", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(54z-1)(27z-1)(54z+1)^2(108z-1)^2", "discr_factors": "49589822592, (z+1/54)^2, z-1/54, (z-1/108)^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":"-1/54","im":"0","approx_re":"-0.0185185185185","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":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"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":"1/27","im":"0","approx_re":"0.037037037037","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":["4/3","3/2","3/2","5/3"],"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":[]}]}]}