{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -16*(4*X+1)*(4*X+3)*(32*X^2+32*X+13), 65536*(4*X+1)*(4*X+3)*(4*X+5)*(4*X+7)]", "text": "This is operator \"2.33\" from ...", "degz": 2, "h3": null, "sol": "1 624 1251600 3268151040 9627237219600 30398161990420224 100419276330270433536 342443246991563367936000 1195637852398571585356438800 4251196450644173123348263008000", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -624 -4864 -13056 -16384 -8192 6881280 46137344 90177536 67108864 16777216", "new_number": "2.33", "id": 26, "operator_tex": "\\theta^4-2^{4} x(4\\theta+1)(4\\theta+3)(32\\theta^2+32\\theta+13)+2^{16} x^{2}(4\\theta+1)(4\\theta+3)(4\\theta+5)(4\\theta+7)", "superseek": "-160 -539680", "discriminant": "2 1 -8192 16777216", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "83a66e92381baa083f87a13e02375bc9", "dim_h": null, "inst": " -160 -6920 -539680 -54568560 -6402958560 -826859298920 -114164994441120 -16560193073405040 -2494945705036829440 -387347549189406370520", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(4096z-1)^2", "discr_factors": "16777216, (z-1/4096)^2", "dm_basis": ["11/12-80*lambda", "1/6", "1/2", "1", "1/6", "0", "-1", "0", "2", "-4", "0", "0", "4", "0", "0", "0"], "q": "0 1 -2368 4490848 -7667378176 12339033298480 -19115196671346688 28835535209979429376 -42653444750743181590528 62148392907302732450544280", "yuk": "1 -160 -55520 -14571520 -3492443360 -800369820160 -178601623193600 -39158593093304320 -8478818857075823840 -1818815418971863233280", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-4","1","0","0","0","1","1"]},{"re":"1/4096","im":"0","approx_re":"0.000244140625","approx_im":"0.0","exponents":["0","1/4","3/4","1"],"monodromy":["1/12+80*lambda","11/24+40*lambda","-11/288+10/3*lambda",".172495151","-1/6","11/12","-1/144","-11/288-10/3*lambda","-2","1","11/12","11/24-40*lambda","-4","-2","-1/6","1/12-80*lambda"],"monodromy_dm":["-1","0","0","-1","-1","1","1/2","0","0","0","1","0","2","0","-1","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/4","3/4","5/4","7/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48*(2*X+1)^2*(18*X^2+18*X+13), 746496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\kappa$", "degz": 2, "h3": null, "sol": "1 624 685584 883925760 1229988226320 1789812200058624 2682147441688678656 4103873321005267070976 6377307485242500121320720 10029763457800404355003549440", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -624 -3360 -6816 -6912 -3456 2239488 10450944 17169408 11943936 2985984", "new_number": "2.59", "id": 54, "operator_tex": "\\theta^4-2^{4} 3 x(2\\theta+1)^2(18\\theta^2+18\\theta+13)+2^{10} 3^{6} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-384 -164736", "discriminant": "2 1 -3456 2985984", "aesz": "47", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "792da990d2d2e5263bb789ad37b00d44", "dim_h": null, "inst": " -384 -1356 -164736 96211836 -3267254400 1324023555492 -349900046361984 46529871681675420 -14270444316475610112 3245904575339035225980", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(1728z-1)^2", "discr_factors": "2985984, (z-1/1728)^2", "dm_basis": ["-1/6-108*lambda", "-1/3", "3/2", "1", "-4/3", "4", "-1", "0", "-2", "-4", "0", "0", "4", "0", "0", "0"], "q": "0 1 -864 529632 -272074752 126845233200 -55579615921152 23323579295205888 -9484471534401552384 3765369834109277512344", "yuk": "1 -384 -11232 -4448256 6157546272 -408406800384 285989083527168 -120015715902160896 23823294307175361312 -10403153906710724219904", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","-4","1","0","0","0","1","1"]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","-1/6","1","7/6"],"monodromy":["7/6+108*lambda","1/4-54*lambda","-1/18-36*lambda","-1/27*(-8*I*lambda*Pi^3)^(3/2)/Zeta(5)^(2/3)","4/3","1/3","-4/9","-1/18+36*lambda","2","3","1/3","1/4+54*lambda","-4","2","4/3","7/6-108*lambda"],"monodromy_dm":["0","1","-2","-1","1","-3","1","0","4","-16","5","0","-6","24","-6","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}