{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -460*X^4-992*X^3-646*X^2-150*X-12, -12*(6*X+5)*(1866*X^3+5341*X^2+4760*X+1084), -24336*(6*X+5)*(6*X+11)*(3*X+1)*(3*X+7)]", "text": "This is operator \"3.22\" from ...", "degz": 3, "h3": "7", "sol": "1 12 5760 1664544 681014880 301062617856 144001775971872 72412616435777280 37833106664287101024 20355129524032767235200", "n_discr_factors": "2", "c3": "-36", "operator": "4 3 0 0 0 0 1 -12 -150 -646 -992 -460 -65040 -363648 -663180 -496512 -134352 -9369360 -48477312 -74249136 -42052608 -7884864", "new_number": "3.22", "id": 81, "operator_tex": "\\theta^4-2 x\\left(230\\theta^4+496\\theta^3+323\\theta^2+75\\theta+6\\right)-2^{2} 3 x^{2}(6\\theta+5)(1866\\theta^3+5341\\theta^2+4760\\theta+1084)-2^{4} 3^{2} 13^{2} x^{3}(6\\theta+5)(6\\theta+11)(3\\theta+1)(3\\theta+7)", "superseek": "166 1016100", "discriminant": "3 1 -460 -134352 -7884864", "aesz": "392", "n_sing_complex": "0", "inst_int": "", "c2h": "34", "hash": "5862be5cc4d3ec1686e6b9a6ec08f7e7", "dim_h": "4", "inst": " 166 8076 1016100 189329096 43879949258 11641348524744 23747294280862622/7 1058922686246549520 348334789616884018134 119425507449141363609236", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(676z-1)(1+108z)^2", "discr_factors": "-7884864, z-1/676, (1/108+z)^2", "dm_basis": ["-36*lambda", "31/12", "1", "1", "-17/12", "-7/2", "-1", "0", "0", "7", "0", "0", "-7", "0", "0", "0"], "q": "0 1 -102 -13479 -20644 -146630244 -70456962006 -21654760723062 -7360483846618200 -2679511387128156252", "yuk": "1 166 64774 27434866 12117126918 5484993657416 2514531308844178 1163617419762268644 542168415370350481158 253936061630708476654552", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1/3","1","4/3"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/676","im":"0","approx_re":"0.00147928994083","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","5/6","11/6","7/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 2528*X^4+4480*X^3+3584*X^2+1344*X+192, 768*(6*X+5)*(462*X^3+1255*X^2+1052*X+235), 1843200*(6*X+5)*(6*X+11)*(3*X+1)*(3*X+7)]", "text": "This is operator \"3.23\" from ...", "degz": 3, "h3": null, "sol": "1 -192 89136 -51502080 32954034960 -22377660963840 15801295546632960 -11471226773012398080 8502197764514334051600 -6404042778983368641408000", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 192 1344 3584 4480 2528 902400 5122560 9666816 7557120 2128896 709632000 3671654400 5623603200 3185049600 597196800", "new_number": "3.23", "id": 85, "operator_tex": "\\theta^4+2^{5} x\\left(79\\theta^4+140\\theta^3+112\\theta^2+42\\theta+6\\right)+2^{8} 3 x^{2}(6\\theta+5)(462\\theta^3+1255\\theta^2+1052\\theta+235)+2^{13} 3^{2} 5^{2} x^{3}(6\\theta+5)(6\\theta+11)(3\\theta+1)(3\\theta+7)", "superseek": "-128 -263808", "discriminant": "3 1 2528 2128896 597196800", "aesz": "393", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c49c1e5d127755611021be0fc2c55d06", "dim_h": null, "inst": " -128 -5148 -263808 -22378134 -2164448640 -219491054316 -24230324849792 -2839147177142351 -342208909831670784 -42517524870529094260", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(800z+1)(1+864z)^2", "discr_factors": "597196800, z+1/800, (1/864+z)^2", "dm_basis": null, "q": "0 1 576 285312 130768896 57167382960 24209930409984 10021292438791168 4077387838939594752 1636840851887739418776", "yuk": "1 -128 -41312 -7122944 -1432241888 -270556080128 -47410074896384 -8311001423478784 -1453643356129125600 -249470295267295124480", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/800","im":"0","approx_re":"-0.00125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/864","im":"0","approx_re":"-0.00115740740741","approx_im":"0.0","exponents":["0","1/3","1","4/3"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","5/6","11/6","7/3"],"monodromy":[],"monodromy_dm":[]}]}]}