{"count": 3, "status":"OK", "data":[{"pols": "[X^4, -55296*X^4-110592*X^3-129792*X^2-74496*X-16272, 589824*(6*X+5)^2*(6*X+7)^2]", "text": "Operator equivalent to $\\widehat{14}$\nB-Incarnations:\nDouble octics: D.O.267, D.O.275\n", "degz": 2, "h3": null, "sol": "1 16272 347859216 8115450239232 197661638029770000 4939323290720374102272 125545467132215522356011264 3229945005723515366266945769472 83854302031408839697482462668004624 2192358351404405686911606811524026476800", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -16272 -74496 -129792 -110592 -55296 722534400 2972712960 4544004096 3057647616 764411904", "new_number": "2.51", "id": 46, "operator_tex": "\\theta^4-2^{4} 3 x\\left(1152\\theta^4+2304\\theta^3+2704\\theta^2+1552\\theta+339\\right)+2^{16} 3^{2} x^{2}(6\\theta+5)^2(6\\theta+7)^2", "superseek": "-5472 -6444589536", "discriminant": "2 1 -55296 764411904", "aesz": "~88,~89", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "02d09c6c320ab036e45834cf0d3951e7", "dim_h": null, "inst": " -5472 -4476528 -6444589536 -12228845295024 -27012506850929952 -65769234065535209904 -171356481979219041756768 -469285283914523702214769584 -1335325854497322666224363076864 -3916395562729225852578594898891728", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(27648z-1)^2", "discr_factors": "764411904, (z-1/27648)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -9408 38014560 -95305603072 175967420118576 -262791111112390656 332714240865107067392 -378185551721944620859392 367629071696971948082543256", "yuk": "1 -5472 -35817696 -174003922944 -782646134699232 -3376563356366249472 -14206154558329645074432 -58775273318872131322576896 -240274065364236918180096726240 -973452547928548223677734686956800", "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":["cy[T_DM][1]"]},{"re":"1/27648","im":"0","approx_re":"3.61689814815e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["7/6","I*(-7/8-1/8*ln(2)^(1/2)-1/4/ln(2)^(1/2))","-13/72","0","0","-7/6","0","-13/72","2","0","-7/6","I*(7/8+1/8*ln(2)^(1/2)+1/4/ln(2)^(1/2))","0","2","0","7/6"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","5/6","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 276*X^4+312*X^3+274*X^2+118*X+20, 19184*X^4+63296*X^3+66876*X^2+30440*X+5600, -470080*X^4+2305920*X^3+4675120*X^2+3126000*X+748000, -59069440*X^4-132792320*X^3+19461120*X^2+57909760*X+19246400, 739196928*X^4-2782494720*X^3-3842826240*X^2-1772298240*X-257817600, 32105299968*X^4+113897373696*X^3+156661972992*X^2+98333097984*X+23439605760, -254803968*(6*X+5)^2*(6*X+7)^2]", "text": "This is operator \"7.15\" from ...", "degz": 7, "h3": null, "sol": "1 -20 900 -55280 3962500 -310443120 25751401200 -2222681112000 197544186663300 -17956101863018000", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 20 118 274 312 276 5600 30440 66876 63296 19184 748000 3126000 4675120 2305920 -470080 19246400 57909760 19461120 -132792320 -59069440 -257817600 -1772298240 -3842826240 -2782494720 739196928 23439605760 98333097984 156661972992 113897373696 32105299968 -312134860800 -1284211998720 -1963009769472 -1320903770112 -330225942528", "new_number": "7.15", "id": 437, "operator_tex": "\\theta^4+2 x\\left(138\\theta^4+156\\theta^3+137\\theta^2+59\\theta+10\\right)+2^{2} x^{2}\\left(4796\\theta^4+15824\\theta^3+16719\\theta^2+7610\\theta+1400\\right)-2^{4} 5 x^{3}\\left(5876\\theta^4-28824\\theta^3-58439\\theta^2-39075\\theta-9350\\right)-2^{6} 5 x^{4}\\left(184592\\theta^4+414976\\theta^3-60816\\theta^2-180968\\theta-60145\\right)+2^{10} 3 x^{5}\\left(240624\\theta^4-905760\\theta^3-1250920\\theta^2-576920\\theta-83925\\right)+2^{18} 3^{2} x^{6}\\left(13608\\theta^4+48276\\theta^3+66402\\theta^2+41679\\theta+9935\\right)-2^{20} 3^{5} x^{7}(6\\theta+5)^2(6\\theta+7)^2", "superseek": "-2 -952", "discriminant": "7 1 276 19184 -470080 -59069440 739196928 32105299968 -330225942528", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d9a911258d890c112974a4ba19e93e6d", "dim_h": null, "inst": " -2 -343/2 -952 -45148 -17303644/25 -26018834 -600090980 -21048155292 -596535616354 -515471214730497/25", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1-16z+256z^2)(32z-1)^2(108z+1)^3", "discr_factors": "-330225942528, (z+1/108)^3, -1/256-1/16*z+z^2, (z-1/32)^2", "dm_basis": null, "q": "0 1 38 871 23804 626435 18458314 559674337 18113570392 599615908222", "yuk": "1 -2 -1374 -25706 -2890846 -86518222 -5620095222 -205831206142 -10776658400350 -434874464347772", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.038627","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1/2","3/2","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":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32+1/32*5^(1/2)","im":"0","approx_re":"0.101127","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":["5/6","5/6","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -864*X^4-216*X^3-282*X^2-174*X-36, 301536*X^4+239328*X^3+293652*X^2+140400*X+26064, -55302912*X^4-88926336*X^3-105048576*X^2-58113936*X-12913344, 5816883456*X^4+14961646080*X^3+19628039232*X^2+12355488576*X+3037849920, -354869268480*X^4-1255976534016*X^3-1906906116096*X^2-1335411173376*X-352231711488, 11796547829760*X^4+50640664264704*X^3+85369210896384*X^2+63970311831552*X+17547096158208, -178322008965120*X^4-777929764110336*X^3-1224353960165376*X^2-823686696271872*X-201757731323904, 743008370688*(6*X+5)^2*(6*X+7)^2]", "text": "This is operator \"8.25\" from ...", "degz": 8, "h3": null, "sol": "1 36 1908 116496 7816500 571265136 45282874896 3849203343168 344621130915636 31900564060477200", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 1 -36 -174 -282 -216 -864 26064 140400 293652 239328 301536 -12913344 -58113936 -105048576 -88926336 -55302912 3037849920 12355488576 19628039232 14961646080 5816883456 -352231711488 -1335411173376 -1906906116096 -1255976534016 -354869268480 17547096158208 63970311831552 85369210896384 50640664264704 11796547829760 -201757731323904 -823686696271872 -1224353960165376 -777929764110336 -178322008965120 910185254092800 3744762188267520 5724136487780352 3851755393646592 962938848411648", "new_number": "8.25", "id": 469, "operator_tex": "\\theta^4-2 3 x\\left(144\\theta^4+36\\theta^3+47\\theta^2+29\\theta+6\\right)+2^{2} 3^{2} x^{2}\\left(8376\\theta^4+6648\\theta^3+8157\\theta^2+3900\\theta+724\\right)-2^{4} 3^{4} x^{3}\\left(42672\\theta^4+68616\\theta^3+81056\\theta^2+44841\\theta+9964\\right)+2^{6} 3^{5} x^{4}\\left(374028\\theta^4+962040\\theta^3+1262091\\theta^2+794463\\theta+195335\\right)-2^{8} 3^{7} x^{5}\\left(633840\\theta^4+2243328\\theta^3+3405968\\theta^2+2385208\\theta+629129\\right)+2^{12} 3^{8} x^{6}\\left(438960\\theta^4+1884384\\theta^3+3176664\\theta^2+2380392\\theta+652943\\right)-2^{19} 3^{10} x^{7}\\left(5760\\theta^4+25128\\theta^3+39548\\theta^2+26606\\theta+6517\\right)+2^{22} 3^{11} x^{8}(6\\theta+5)^2(6\\theta+7)^2", "superseek": "-54 -197216/3", "discriminant": "8 1 -864 301536 -55302912 5816883456 -354869268480 11796547829760 -178322008965120 962938848411648", "aesz": "299", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c9e3907e21d64cf5564bf2d00992459e", "dim_h": null, "inst": " -54 -1530 -197216/3 -3553920 -222887448 -46187215136/3 -1137791347128 -88358802830496 -7126833307040540 -592327036101212712", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "6", "laurent": null, "discriminant_tex": "(1-144z+6912z^2)(108z-1)^2(3456z^2-252z+1)^2", "discr_factors": "962938848411648, 1/6912-1/48*z+z^2, (z-1/108)^2, (z^2-7/96*z+1/3456)^2", "dm_basis": null, "q": "0 1 -30 1179 -7420 1565673 81731862 7825382963 675317911944 61224964477299", "yuk": "1 -54 -12294 -1774998 -227463174 -27860931054 -3325481277030 -390262432064958 -45239707276677126 -5195461480834328658", "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":"7/192-1/576*345^(1/2)","im":"0","approx_re":"0.004212","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96","im":"-1/288*3^(1/2)","approx_re":"0.0104166666667","approx_im":"-0.006014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96","im":"1/288*3^(1/2)","approx_re":"0.0104166666667","approx_im":"0.006014","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/192+1/576*345^(1/2)","im":"0","approx_re":"0.068705","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":["5/6","5/6","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}]}