{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -4*(2*X+1)^2*(5*X^2+5*X+2), 32*(2*X+1)*(2*X+3)*(7*X^2+14*X+8), -176*(2*X+1)*(2*X+3)^2*(2*X+5)]", "text": "This is operator \"3.31\" from ...", "degz": 3, "h3": null, "sol": "1 8 168 5360 210280 9269568 440263824 22027234944 1145252033640 61332823872320", "n_discr_factors": "1", "c3": null, "operator": "4 3 0 0 0 0 1 -8 -52 -132 -160 -80 768 3392 5280 3584 896 -7920 -29568 -35200 -16896 -2816", "new_number": "3.31", "id": 94, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)^2(5\\theta^2+5\\theta+2)+2^{5} x^{2}(2\\theta+1)(2\\theta+3)(7\\theta^2+14\\theta+8)-2^{4} 11 x^{3}(2\\theta+1)(2\\theta+3)^2(2\\theta+5)", "superseek": "4 284", "discriminant": "3 1 -80 896 -2816", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "660b0951ad934fc17fda7eb9b1750649", "dim_h": null, "inst": " 4 27 284 4368 80968 1722333 40082284 998658176 26202453860 716312822310", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "4", "laurent": null, "discriminant_tex": "1-80z+896z^2-2816z^3", "discr_factors": "-2816, -1/2816+5/176*z-7/22*z^2+z^3", "dm_basis": null, "q": "0 1 -20 210 -2864 25415 -479656 595578 -139496000 -2233947465", "yuk": "1 4 220 7672 279772 10121004 372031816 13748223416 511313265884 19101588871612", "gv2": null, "gv0": null, "gv1": null}, {"pols": "[X^4, -4*X*(X+1)*(2*X+1)^2, -32*(2*X+1)*(2*X+3)*(11*X^2+22*X+12), -1200*(2*X+1)*(2*X+3)^2*(2*X+5), -4864*(2*X+1)*(2*X+3)*(2*X+5)*(2*X+7)]", "text": "Sporadic Operator.", "degz": 4, "h3": null, "sol": "1 0 72 1200 44520 1451520 54164880 2075673600 82978295400 3404489088000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 0 -4 -20 -32 -16 -1152 -5184 -8224 -5632 -1408 -54000 -201600 -240000 -115200 -19200 -510720 -1712128 -1673216 -622592 -77824", "new_number": "4.37", "id": 134, "operator_tex": "\\theta^4-2^{2} x\\theta(\\theta+1)(2\\theta+1)^2-2^{5} x^{2}(2\\theta+1)(2\\theta+3)(11\\theta^2+22\\theta+12)-2^{4} 3 5^{2} x^{3}(2\\theta+1)(2\\theta+3)^2(2\\theta+5)-2^{8} 19 x^{4}(2\\theta+1)(2\\theta+3)(2\\theta+5)(2\\theta+7)", "superseek": "4 284", "discriminant": "4 1 -16 -1408 -19200 -77824", "aesz": "206", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "bd5dae321e1369e7fae153775f84a351", "dim_h": null, "inst": " 4 27 284 4368 80968 1722333 40082284 998658176 26202453860 716312822310", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "-(16z+1)(4864z^3+896z^2+32z-1)", "discr_factors": "-77824, z^3+7/38*z^2+1/152*z-1/4864, z+1/16", "dm_basis": null, "q": "0 1 -4 -174 -1008 5703 -60552 -6912774 -195899200 -4965619785", "yuk": "1 4 220 7672 279772 10121004 372031816 13748223416 511313265884 19101588871612", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/912*(6947+627*33^(1/2))^(1/3)-41/114/(6947+627*33^(1/2))^(1/3)-7/114","im":"-1/8*3^(1/2)*(1/114*(6947+627*33^(1/2))^(1/3)-164/57/(6947+627*33^(1/2))^(1/3))","approx_re":"-0.10185","approx_im":"-0.013248","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/912*(6947+627*33^(1/2))^(1/3)-41/114/(6947+627*33^(1/2))^(1/3)-7/114","im":"1/8*3^(1/2)*(1/114*(6947+627*33^(1/2))^(1/3)-164/57/(6947+627*33^(1/2))^(1/3))","approx_re":"-0.10185","approx_im":"0.013248","exponents":["0","1","1","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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_3","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/456*(6947+627*33^(1/2))^(1/3)+41/57/(6947+627*33^(1/2))^(1/3)-7/114","im":"0","approx_re":"0.019489","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":["1/2","3/2","5/2","7/2"],"monodromy":[],"monodromy_dm":[]}]}]}