{"count": 5, "status":"OK", "data":[{"pols": "[X^4, -144-1536*X-6288*X^2-9504*X^3+432*X^4, 92160+497664*X-1492992*X^2-22394880*X^3-8957952*X^4, -398131200-3439853568*X-10749542400*X^2-15479341056*X^3-14189395968*X^4, -55037657088*(3*X+1)^2*(3*X+2)^2]", "text": "Sporadic Operator.", "degz": 4, "h3": "4", "sol": "1 144 147600 239904000 479672701200 1078954420287744 2618634987667835136 6702283021504364236800 17840666902138413842480400 48944005664385888179529120000", "n_discr_factors": "3", "c3": "-18", "operator": "4 4 0 0 0 0 1 -144 -1536 -6288 -9504 432 92160 497664 -1492992 -22394880 -8957952 -398131200 -3439853568 -10749542400 -15479341056 -14189395968 -220150628352 -1981355655168 -6439405879296 -8916100448256 -4458050224128", "new_number": "4.47", "id": 145, "operator_tex": "\\theta^4+2^{4} 3 x\\left(9\\theta^4-198\\theta^3-131\\theta^2-32\\theta-3\\right)-2^{11} 3^{2} x^{2}\\left(486\\theta^4+1215\\theta^3+81\\theta^2-27\\theta-5\\right)-2^{16} 3^{5} 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-452984832*(3*X+1)*(2*X+1)^2*(3*X+2)]", "text": "Sporadic Operator.", "degz": 4, "h3": "4", "sol": "1 48 26640 21907200 22048765200 24896521698048 30291889001197824 38838210495451361280 51763875861113556426000 71081695744396302602208000", "n_discr_factors": "3", "c3": "-60", "operator": "4 4 0 0 0 0 1 -48 -480 -1760 -2560 -2432 -76800 -522240 -918528 540672 1314816 5898240 60162048 212336640 254803968 -160432128 -905969664 -7700742144 -24008196096 -32614907904 -16307453952", "new_number": "4.48", "id": 146, "operator_tex": "\\theta^4-2^{4} x\\left(152\\theta^4+160\\theta^3+110\\theta^2+30\\theta+3\\right)+2^{10} 3 x^{2}\\left(428\\theta^4+176\\theta^3-299\\theta^2-170\\theta-25\\right)-2^{17} 3^{2} x^{3}\\left(136\\theta^4-216\\theta^3-180\\theta^2-51\\theta-5\\right)-2^{24} 3^{3} x^{4}(3\\theta+1)(2\\theta+1)^2(3\\theta+2)", "superseek": "320 19748928", "discriminant": "4 1 -2432 1314816 -160432128 -16307453952", "aesz": "241", "n_sing_complex": "0", "inst_int": "", "c2h": "28", 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"spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","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":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/384","im":"0","approx_re":"0.00260416666667","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":["1/3","1/2","1/2","2/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -112-1152*X-4480*X^2-6656*X^3-1792*X^4, 94208+655360*X+884736*X^2-3670016*X^3-2686976*X^4, -8388608-50331648*X-100663296*X^2-201326592*X^3-805306368*X^4, -1073741824*(2*X+1)^4]", "text": "Sporadic Operator. There is a second MUM-point\nhiding at infinity, corresponding to Operator\nAESZ 256/4.50", "degz": 4, "h3": "4", "sol": "1 112 93456 124614400 204621667600 378083696723712 753817928330928384 1585000160053962043392 3466049211031541759024400 7811601850118304222490105600", "n_discr_factors": "2", "c3": "-32", "operator": "4 4 0 0 0 0 1 -112 -1152 -4480 -6656 -1792 94208 655360 884736 -3670016 -2686976 -8388608 -50331648 -100663296 -201326592 -805306368 -1073741824 -8589934592 -25769803776 -34359738368 -17179869184", "new_number": "4.51", "id": 150, "operator_tex": "\\theta^4-2^{4} x\\left(112\\theta^4+416\\theta^3+280\\theta^2+72\\theta+7\\right)-2^{12} x^{2}\\left(656\\theta^4+896\\theta^3-216\\theta^2-160\\theta-23\\right)-2^{23} x^{3}\\left(96\\theta^4+24\\theta^3+12\\theta^2+6\\theta+1\\right)-2^{30} x^{4}\\left((2\\theta+1)^4\\right)", "superseek": "992 63721056", "discriminant": "4 1 -1792 -2686976 -805306368 -17179869184", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": "28", "hash": "1d45a05c9bcf007b5042b0f7a5672551", "dim_h": "3", "inst": " 992 98792 63721056 40943244128 36122052633760 35496785398316488 38573077037369045216 44817555891320272923488 54895973186351629390948608 70071414152078519333405737080", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "-(65536z^2+2816z-1)(1+512z)^2", "discr_factors": "-17179869184, (1/512+z)^2, z^2+11/256*z-1/65536", "dm_basis": null, "q": "0 1 -704 164960 -83273728 -15505781200 -38649728440320 -41146063608995328 -55445056673294450688 -74461017216300912797032", "yuk": "1 992 791328 1720469504 2620368415520 4515256579220992 7667305647757621248 13230565423817582510080 22946588616358600105241376 40019164452850337827722004736", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/512-5/512*5^(1/2)","im":"0","approx_re":"-0.043321","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"0","approx_re":"-0.001953125","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":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/512+5/512*5^(1/2)","im":"0","approx_re":"0.000352","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, -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, 240+2560*X+9456*X^2+13792*X^3+5936*X^4, 1628160+13957120*X+33556480*X^2+21186560*X^3+2293760*X^4, -3422617600*X^4-12288000000*X^3-9065267200*X^2-2457600000*X-221184000, 1048576000*(5*X+1)*(5*X+2)*(5*X+3)*(5*X+4)]", "text": "Sporadic Operator.", "degz": 4, "h3": "4", "sol": "1 -240 378000 -941740800 2908743037200 -10151874959466240 38309871295625529600 -152614322407866908160000 632640146605662882986442000 -2703686438960809804123990368000", "n_discr_factors": "2", "c3": "-130", "operator": "4 4 0 0 0 0 1 240 2560 9456 13792 5936 1628160 13957120 33556480 21186560 2293760 -221184000 -2457600000 -9065267200 -12288000000 -3422617600 25165824000 262144000000 917504000000 1310720000000 655360000000", "new_number": "4.66", "id": 166, "operator_tex": "\\theta^4+2^{4} x\\left(371\\theta^4+862\\theta^3+591\\theta^2+160\\theta+15\\right)+2^{11} 5 x^{2}\\left(224\\theta^4+2069\\theta^3+3277\\theta^2+1363\\theta+159\\right)-2^{16} 5^{2} x^{3}\\left(2089\\theta^4+7500\\theta^3+5533\\theta^2+1500\\theta+135\\right)+2^{23} 5^{3} x^{4}(5\\theta+1)(5\\theta+2)(5\\theta+3)(5\\theta+4)", "superseek": "-1616 -283183120", "discriminant": "4 1 5936 2293760 -3422617600 655360000000", "aesz": "300", "n_sing_complex": "1", "inst_int": "", "c2h": "28", "hash": "edc54887effd2ebcaa636dcc93baf0b7", "dim_h": "3", "inst": " -1616 265534 -283183120 351860487150 -525536710386800 905847882475840870 -1717463745183584163280 3484895489379071632856310 -7449697893532490934280447360 16596414766862442506943198303050", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "(6400000z^2+6576z+1)(-1+320z)^2", "discr_factors": "655360000000, (-1/320+z)^2, z^2+411/400000*z+1/6400000", "dm_basis": null, "q": "0 1 1600 1355040 1290306560 604823942960 991922734264320 -645735308412019200 2416007564491479449600 -5155873649461458449879400", "yuk": "1 -1616 2122656 -7645945856 22519073300256 -65692088798351616 195663142607137806336 -589090064597969368006656 1784266490562107195095730976 -5430829764385185891098092071296", "gv2": null, 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