{"count": 3, "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": "[121*X^4, 847+5929*X+16170*X^2+20482*X^3+10010*X^4, -11198-55253*X-103725*X^2-89990*X^3-32126*X^4, 1716+20625*X+63474*X^2+74184*X^3+28723*X^4, -770-4991*X-13167*X^2-16352*X^3-7945*X^4, 49*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 193/5.22", "degz": 5, "h3": "132", "sol": "1 -7 199 -8359 423751 -23973757 1457477659 -93222362023 6192061490503 -423467225669257", "n_discr_factors": "2", "c3": "-408", "operator": "4 5 0 0 0 0 121 847 5929 16170 20482 10010 -11198 -55253 -103725 -89990 -32126 1716 20625 63474 74184 28723 -770 -4991 -13167 -16352 -7945 49 196 294 196 49", "new_number": "5.25", "id": 233, "operator_tex": "11^{2} \\theta^4+7 11 x\\left(130\\theta^4+266\\theta^3+210\\theta^2+77\\theta+11\\right)-x^{2}\\left(11198+55253\\theta+103725\\theta^2+89990\\theta^3+32126\\theta^4\\right)+x^{3}\\left(1716+20625\\theta+63474\\theta^2+74184\\theta^3+28723\\theta^4\\right)-7 x^{4}\\left(1135\\theta^4+2336\\theta^3+1881\\theta^2+713\\theta+110\\right)+7^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-84/11 -9052/11", "discriminant": "5 121 10010 -32126 28723 -7945 49", "aesz": "198", "n_sing_complex": "3", "inst_int": "", "c2h": "132", "hash": "a1f924763b047c2720d99cfca5ca63db", "dim_h": "33", "inst": " -84/11 639/11 -9052/11 189021/11 -4838013/11 141421066/11 -4533181206/11 155521104120/11 -510941431295 846550286988477/44", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(z^3-159z^2+84z+1)(-11+7z)^2", "discr_factors": "49, z^3-159*z^2+84*z+1, (-11/7+z)^2", "dm_basis": null, "q": "0 1 21 93 970 -23541 740418 -27416745 1047984201 -41848595538", "yuk": "1 -84/11 5028/11 -244488/11 12102372/11 -604751709/11 30546710880/11 -1554881153742/11 7238801582892 -4097239337799093/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/4*(43452+228*I*3^(1/2))^(1/3)-927/(43452+228*I*3^(1/2))^(1/3)+53+1/2*I*3^(1/2)*(3/2*(43452+228*I*3^(1/2))^(1/3)-1854/(43452+228*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.011648","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":"-3/4*(43452+228*I*3^(1/2))^(1/3)-927/(43452+228*I*3^(1/2))^(1/3)+53-1/2*I*3^(1/2)*(3/2*(43452+228*I*3^(1/2))^(1/3)-1854/(43452+228*I*3^(1/2))^(1/3))","im":"0","approx_re":"0.541757","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/7","im":"0","approx_re":"1.57142857143","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/2*(43452+228*I*3^(1/2))^(1/3)+1854/(43452+228*I*3^(1/2))^(1/3)+53","im":"0","approx_re":"158.469891","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","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, 4862*X^4+12478*X^3+11152*X^2+4913*X+867, 36990*X^4+198666*X^3+334881*X^2+236385*X+61200, -369603*X^4-1784592*X^3-3143448*X^2-2416635*X-685746, 807003*X^4+3621672*X^3+5767119*X^2+3956283*X+997272, -531441*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 280/5.69", "degz": 5, "h3": "153", "sol": "1 -3 9 51 -1431 16497 -93141 -675027 25911657 -366207267", "n_discr_factors": "2", "c3": "-126", "operator": "4 5 0 0 0 0 289 867 4913 11152 12478 4862 61200 236385 334881 198666 36990 -685746 -2416635 -3143448 -1784592 -369603 997272 3956283 5767119 3621672 807003 -531441 -2125764 -3188646 -2125764 -531441", "new_number": "5.68", "id": 280, "operator_tex": "17^{2} \\theta^4+17 x\\left(286\\theta^4+734\\theta^3+656\\theta^2+289\\theta+51\\right)+3^{2} x^{2}\\left(4110\\theta^4+22074\\theta^3+37209\\theta^2+26265\\theta+6800\\right)-3^{5} x^{3}\\left(1521\\theta^4+7344\\theta^3+12936\\theta^2+9945\\theta+2822\\right)+3^{8} x^{4}\\left(123\\theta^4+552\\theta^3+879\\theta^2+603\\theta+152\\right)-3^{12} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-10/17 10", "discriminant": "5 289 4862 36990 -369603 807003 -531441", "aesz": "279", "n_sing_complex": "2", "inst_int": "", "c2h": "90", "hash": "06f80606fbeb2b0cc9559df633f1f59d", "dim_h": "33", "inst": " -10/17 -19/17 10 -369/17 -1413/17 23517/17 -94575/17 -353339/17 8025851/17 -43298322/17", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(729z^3-189z^2-20z-1)(-17+27z)^2", "discr_factors": "-531441, z^3-7/27*z^2-20/729*z-1/729, (-17/27+z)^2", "dm_basis": null, "q": "0 1 5 30 44 108 39 -9936 -18201 148149", "yuk": "1 -10/17 -162/17 4580/17 -23778/17 -176635/17 5084100/17 -32439235/17 -10643138 5850849959/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/324*(10700+1044*29^(1/2))^(1/3)-109/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"-1/2*3^(1/2)*(1/162*(10700+1044*29^(1/2))^(1/3)-218/81/(10700+1044*29^(1/2))^(1/3))","approx_re":"-0.044921","approx_im":"-0.04372","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/324*(10700+1044*29^(1/2))^(1/3)-109/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"1/2*3^(1/2)*(1/162*(10700+1044*29^(1/2))^(1/3)-218/81/(10700+1044*29^(1/2))^(1/3))","approx_re":"-0.044921","approx_im":"0.04372","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":"1/162*(10700+1044*29^(1/2))^(1/3)+218/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"0","approx_re":"0.349102","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27","im":"0","approx_re":"0.62962962963","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":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}