{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -432-4416*X-16960*X^2-25088*X^3-7936*X^4, 7962624+63995904*X+154337280*X^2+74711040*X^3-3145728*X^4, 5096079360+53452210176*X+192216563712*X^2+260919263232*X^3+61001957376*X^4, 463856467968*(4*X+1)*(3*X+1)*(3*X+2)*(4*X+3)]", "text": "Sporadic Operator.", "degz": 4, "h3": "4", "sol": "1 432 982800 3259872000 12958462717200 57507674287295232 275104725474922447104 1389843863969427389952000 7317666838199613923550666000 39788554502561698105541549280000", "n_discr_factors": "3", "c3": "24", "operator": "4 4 0 0 0 0 1 -432 -4416 -16960 -25088 -7936 7962624 63995904 154337280 74711040 -3145728 5096079360 53452210176 192216563712 260919263232 61001957376 2783138807808 27367531610112 94162862997504 133590662774784 66795331387392", "new_number": "4.60", "id": 160, "operator_tex": "\\theta^4-2^{4} x\\left(496\\theta^4+1568\\theta^3+1060\\theta^2+276\\theta+27\\right)-2^{15} 3 x^{2}\\left(32\\theta^4-760\\theta^3-1570\\theta^2-651\\theta-81\\right)+2^{22} 3^{2} x^{3}\\left(1616\\theta^4+6912\\theta^3+5092\\theta^2+1416\\theta+135\\right)+2^{34} 3^{3} x^{4}(4\\theta+1)(3\\theta+1)(3\\theta+2)(4\\theta+3)", "superseek": "3616 264403872", "discriminant": "4 1 -7936 -3145728 61001957376 66795331387392", "aesz": "288", "n_sing_complex": "0", "inst_int": "", "c2h": "28", "hash": "3373ebdbe30d220b5562cfd77d4e8f96", "dim_h": "3", "inst": " 3616 114144 264403872 424149521656 710239010095456 1276165652786715744 2488282041160304300320 5231049591044378569431928 11643937059631017192549541632 27039505146615533040287139508896", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(6912z-1)(4096z-1)(1+1536z)^2", "discr_factors": "66795331387392, (1/1536+z)^2, z-1/6912, z-1/4096", "dm_basis": null, "q": "0 1 -2688 4828512 -7377668096 9370263876144 -11657738493517824 11810397522454737408 -14798269700120886116352 8694811319106031657675416", "yuk": "1 3616 916768 7138908160 27145570302752 88779876261935616 275651781009070422016 853480740117984375013376 2678297390614748973119449888 8488430116471011533375754757888", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/1536","im":"0","approx_re":"-0.000651041666667","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":"1/6912","im":"0","approx_re":"0.000144675925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4096","im":"0","approx_re":"0.000244140625","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":["1/4","1/3","2/3","3/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12*(4*X+1)*(3*X+1)*(3*X+2)*(4*X+3)]", "text": "A-incarnation: X(4,6) in P^5(1,1,1,2,2,3)", "degz": 1, "h3": "6", "sol": "1 72 37800 31046400 31216185000 35233433307072 42859514205091584 54944433454090752000 73224296225581519161000 100545295640338958409000000", "n_discr_factors": "1", "c3": "-156", "operator": "4 1 0 0 0 0 1 -72 -708 -2436 -3456 -1728", "new_number": "1.11", "id": 551, "operator_tex": "\\theta^4-2^{2} 3 x(4\\theta+1)(3\\theta+1)(3\\theta+2)(4\\theta+3)", "superseek": "324 10792428", "discriminant": "1 1 -1728", "aesz": "11", "n_sing_complex": "0", "inst_int": null, "c2h": "48", "hash": "8ac8b98b80383c9f0ea125ccd6e6a55d", "dim_h": "5", "inst": " 324 37260 10792428 4580482284 2405245303584 1445879121199620 954356044728488940 674587783216046286540 502456327156445989706160 390024499398372047425152096", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": null, "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "1-1728z", "discr_factors": "-1728, -1/1728+z", "dm_basis": null, "q": "0 1 -420 47070 -12722000 -3647205075 -2905970331384 -2147653102943470 -1698813688696541760 -1398922214928684377850", "yuk": "1 324 298404 291395880 293151164580 300655662948324 312309890470811880 327344123341871706744 345388945006908849873060 366290662497049126787186520", "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":[],"monodromy_dm":[]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","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":["1/4","1/3","2/3","3/4"],"monodromy":[],"monodromy_dm":[]}]}]}