{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -43*X^4-86*X^3-77*X^2-34*X-6, 12*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"2.64\" from ...", "degz": 2, "h3": "132", "sol": "1 6 66 924 14850 261756 4933236 97806456 2017042434 42917560620", "n_discr_factors": "2", "c3": "-96", "operator": "4 2 0 0 0 0 1 -6 -34 -77 -86 -43 420 1704 2580 1728 432", "new_number": "2.64", "id": 60, "operator_tex": "\\theta^4-x\\left(43\\theta^4+86\\theta^3+77\\theta^2+34\\theta+6\\right)+2^{2} 3 x^{2}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "1 7", "discriminant": "2 1 -43 432", "aesz": "182", "n_sing_complex": "0", "inst_int": "", "c2h": "132", "hash": "89ba4729efa82413b33fe6928ff8d2c9", "dim_h": "33", "inst": " 1 7/4 7 40 270 7913/4 15618 131512 1168395 21654889/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(27z-1)(16z-1)", "discr_factors": "432, z-1/16, z-1/27", "dm_basis": ["-96*lambda", "55/2", "1", "1", "-11/2", "-66", "-1", "0", "0", "132", "0", "0", "-132", "0", "0", "0"], "q": "0 1 -10 63 -336 1399 -6150 17483 -103744 -85626", "yuk": "1 1 15 190 2575 33751 427506 5356975 67336719 851760145", "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","132","1","0","0","0","1","1"]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+96*lambda","0","4*lambda",".1639606e-2","11/2","1","11/48","-4*lambda","0","0","1","0","132","0","11/2","1-96*lambda"],"monodromy_dm":["1","-33","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["17/4+288*lambda","-13/24-48*lambda","13/96+12*lambda","-.21754163e-1-52/11*lambda","33/2","-7/4","11/16","-13/96-12*lambda","66","-11","15/4","-13/24-48*lambda","396","-66","33/2","-9/4-288*lambda"],"monodromy_dm":["-5","-132","-7/2","-3","1","23","583333/1000000","1/2","-66","-1452","-75/2","-33","45","990","105/4","47/2"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -128*X^4-544*X^3-400*X^2-128*X-16, -22272*X^4-38400*X^3-8192*X^2+512*X+256, -827392*X^4-983040*X^3-864256*X^2-417792*X-77824, -196608*(2*X+1)*(22*X^3+45*X^2+38*X+12), -9437184*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.89\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1200 136960 19010320 2955407616 494633669376 87189633822720 15971078116216080 3013478085823279360", "n_discr_factors": "2", "c3": "-44", "operator": "4 5 0 0 0 0 1 -16 -128 -400 -544 -128 256 512 -8192 -38400 -22272 -77824 -417792 -864256 -983040 -827392 -2359296 -12189696 -23789568 -22020096 -8650752 -28311552 -132120576 -217055232 -150994944 -37748736", "new_number": "5.89", "id": 303, "operator_tex": "\\theta^4-2^{4} x\\left(8\\theta^4+34\\theta^3+25\\theta^2+8\\theta+1\\right)-2^{8} x^{2}\\left(87\\theta^4+150\\theta^3+32\\theta^2-2\\theta-1\\right)-2^{12} x^{3}\\left(202\\theta^4+240\\theta^3+211\\theta^2+102\\theta+19\\right)-2^{16} 3 x^{4}(2\\theta+1)(22\\theta^3+45\\theta^2+38\\theta+12)-2^{20} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "48 25200", "discriminant": "5 1 -128 -22272 -827392 -8650752 -37748736", "aesz": "329", "n_sing_complex": "2", "inst_int": "", "c2h": "52", "hash": "8c526b3b825d5ad6a3d0fb83ee4e6059", "dim_h": "7", "inst": " 48 270 25200 968066 80892688 5836971062 522155519152 47398217590425 4636171366134912 468150494473792826", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16384z^3+3072z^2+224z-1)(1+48z)^2", "discr_factors": "-37748736, (1/48+z)^2, z^3+3/16*z^2+7/512*z-1/16384", "dm_basis": null, "q": "0 1 -64 1664 -68608 820656 -171802624 -6555458560 -1123846586368 -100669089912680", "yuk": "1 48 2208 680448 61958432 10111586048 1260786432000 179099343069184 24267887468256032 3379768925913031296", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192*(189+33*33^(1/2))^(1/3)+1/32/(189+33*33^(1/2))^(1/3)-1/16","im":"-1/32*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.095858","approx_im":"-0.072741","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(189+33*33^(1/2))^(1/3)+1/32/(189+33*33^(1/2))^(1/3)-1/16","im":"1/32*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.095858","approx_im":"0.072741","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48","im":"0","approx_re":"-0.0208333333333","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":"1/96*(189+33*33^(1/2))^(1/3)-1/16/(189+33*33^(1/2))^(1/3)-1/16","im":"0","approx_re":"0.004215","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","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}