{"count": 3, "status":"OK", "data":[{"pols": "[X^4, -208-2368*X-11584*X^2-18432*X^3+9216*X^4, -4194304*X^4-130023424*X^3+21757952*X^2+7471104*X+786432, -5033164800-38654705664*X-111937585152*X^2-154618822656*X^3-167503724544*X^4, -9895604649984*(2*X+1)^4]", "text": "Sporadic Operator. There is a second MUM-point hiding at\ninfinity, corresponding to Operator 4.33, reducible to 3.35.", "degz": 4, "h3": "4", "sol": "1 208 254736 490988800 1163138813200 3099609712459008 8912821490498306304 27028629149428355125248 85250093313365034252541200 277129736008042959585497324800", "n_discr_factors": "3", "c3": "136", "operator": "4 4 0 0 0 0 1 -208 -2368 -11584 -18432 9216 786432 7471104 21757952 -130023424 -4194304 -5033164800 -38654705664 -111937585152 -154618822656 -167503724544 -9895604649984 -79164837199872 -237494511599616 -316659348799488 -158329674399744", "new_number": "4.56", "id": 155, "operator_tex": "\\theta^4+2^{4} x\\left(576\\theta^4-1152\\theta^3-724\\theta^2-148\\theta-13\\right)-2^{17} x^{2}\\left(32\\theta^4+992\\theta^3-166\\theta^2-57\\theta-6\\right)-2^{26} 3 x^{3}\\left(832\\theta^4+768\\theta^3+556\\theta^2+192\\theta+25\\right)-2^{40} 3^{2} x^{4}\\left((2\\theta+1)^4\\right)", "superseek": "4192 2124587232", "discriminant": "4 1 9216 -4194304 -167503724544 -158329674399744", "aesz": "277", "n_sing_complex": "0", "inst_int": "", "c2h": "16", "hash": "9d905a8d31566f4976cbeb2d3bf0624c", "dim_h": "2", "inst": " 4192 -1708008 2124587232 -2777042329304 4857272052090400 -8662038695645169608 17457595917396214851936 -35803804676519586643377240 78149966571561860853262927104 -173301643054058182072314357680760", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(1024z+1)(4096z-1)(1+6144z)^2", "discr_factors": "-158329674399744, z+1/1024, z-1/4096, (1/6144+z)^2", "dm_basis": null, "q": "0 1 -1536 2019168 -3416864768 6362636991024 -13293690316296192 28972568094420308480 -66676440369195119542272 157105050052992014772439704", "yuk": "1 4192 -13659872 57363859456 -177730722735328 607159006511304192 -1871000358202006439936 5987955399666901694218240 -18331547994378206092131882208 56971325630668596562086037718272", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/1024","im":"0","approx_re":"-0.0009765625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6144","im":"0","approx_re":"-0.000162760416667","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":"1/4096","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":["1/2","1/2","1/2","1/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -528-6272*X-28032*X^2-43520*X^3-6400*X^4, 5799936+48627712*X+104333312*X^2-206045184*X^3-139984896*X^4, 2264924160+28185722880*X+116098334720*X^2+128849018880*X^3-393257943040*X^4, 1717986918400*(4*X+1)*(2*X+1)^2*(4*X+3)]", "text": "Sporadic Operator.", "degz": 4, "h3": "2", "sol": "1 528 2434320 18496262400 174225386134800 1851234419251945728 21250689818684006064384 257431429480165678405324800 3244695401066105343290660298000 42160560700757556279415471133856000", "n_discr_factors": "3", "c3": "-16", "operator": "4 4 0 0 0 0 1 -528 -6272 -28032 -43520 -6400 5799936 48627712 104333312 -206045184 -139984896 2264924160 28185722880 116098334720 128849018880 -393257943040 5153960755200 48103633715200 158054796492800 219902325555200 109951162777600", "new_number": "4.61", "id": 161, "operator_tex": "\\theta^4-2^{4} x\\left(400\\theta^4+2720\\theta^3+1752\\theta^2+392\\theta+33\\right)-2^{15} x^{2}\\left(4272\\theta^4+6288\\theta^3-3184\\theta^2-1484\\theta-177\\right)-2^{24} 5 x^{3}\\left(4688\\theta^4-1536\\theta^3-1384\\theta^2-336\\theta-27\\right)+2^{36} 5^{2} x^{4}(4\\theta+1)(2\\theta+1)^2(4\\theta+3)", "superseek": "8224 15542388128", "discriminant": "4 1 -6400 -139984896 -393257943040 109951162777600", "aesz": "289", "n_sing_complex": "0", "inst_int": "", "c2h": "20", "hash": "673413653f5554d4f0cc1a8af33e8bbe", "dim_h": "2", "inst": " 8224 3407456 15542388128 54609260446560 282477571639256928 1593403948509786474208 9996790950092404250694432 66959132321618107208146692960 472988575734717866146656912684800 3481362951036082771628823802703192096", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(16384z-1)(256z-1)(1+5120z)^2", "discr_factors": "109951162777600, z-1/256, (1/5120+z)^2, z-1/16384", "dm_basis": null, "q": "0 1 -4160 6816864 -20920440832 -2801293291984 -274110763911579648 -1409140353520807566848 -11677853297001700102111232 -88913392568086581572177028456", "yuk": "1 8224 27267872 419644487680 3494992695847712 35309696454907124224 344175252878533550176256 3428899295881694657988198400 34283075748668474385563802643232 344808671710609324420913308991706880", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/5120","im":"0","approx_re":"-0.0001953125","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":"1/16384","im":"0","approx_re":"6.103515625e-05","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","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","1/2","1/2","3/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -144*(6*X+1)^2*(6*X+5)^2]", "text": "A-incarnation: X(6,6) in P^5(1,1,2,2,3,3)", "degz": 1, "h3": "1", "sol": "1 3600 192099600 16679709446400 1791735431214128400 216986327661755805753600 28382414397956719825364640000 3917336059489444706650509642240000 562504500427398997045651672980248010000 83264974819710368005830816002481020595360000", "n_discr_factors": "1", "c3": "-120", "operator": "4 1 0 0 0 0 1 -3600 -51840 -238464 -373248 -186624", "new_number": "1.13", "id": 553, "operator_tex": "\\theta^4-2^{4} 3^{2} x(6\\theta+1)^2(6\\theta+5)^2", "superseek": "67104 28583248229280", "discriminant": "1 1 -186624", "aesz": "13", "n_sing_complex": "0", "inst_int": null, "c2h": "22", "hash": "f833f256db6c016c021add7a2104d2c7", "dim_h": "2", "inst": " 67104 847288224 28583248229280 1431885139218997920 88985016340513371957600 6335857687001825322018363168 495450652266249125727198585047328 41490795022261433352940063653113825952 3661043891448946711250403161785527438051072 336626304288406255810687544141073457831506309600", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": null, "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "1-186624z", "discr_factors": "-186624, -1/186624+z", "dm_basis": null, "q": "0 1 -37440 84900960 -15150231951360 -968512019592810960 -79258187271341213042688 -6973802129050787280593640960 -649772141228022947751726500413440 -63180506521482608226973944350506706280", "yuk": "1 67104 6778372896 771747702257664 91640648916794239776 11123127042564171494767104 1368545260392395041310447007744 169939573727323450124429114671300608 21243287051397853876796953239311073127200 2668900996866282152501543904942421250041489152", "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":"1/186624","im":"0","approx_re":"5.35836762689e-06","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":["1/6","1/6","5/6","5/6"],"monodromy":[],"monodromy_dm":[]}]}]}