{"count": 9, "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} x^{3}\\left(891\\theta^4+972\\theta^3+675\\theta^2+216\\theta+25\\right)-2^{23} 3^{8} x^{4}(3\\theta+1)^2(3\\theta+2)^2", "superseek": "1584 171534960", "discriminant": "4 1 432 -8957952 -14189395968 -4458050224128", "aesz": "239", "n_sing_complex": "0", "inst_int": "", "c2h": "28", "hash": "8e610c3437d7f38e552038bc55399495", "dim_h": "3", "inst": " 1584 -17874 171534960 30012731550 105934107802896 63775249469817750 127749832497630077616 131860871041114114038054 224001851211067044692907648 298697681537718689647638089370", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(432z+1)(3456z-1)(1+1728z)^2", "discr_factors": "-4458050224128, z+1/432, z-1/3456, (1/1728+z)^2", "dm_basis": null, "q": "0 1 -960 456480 -333224960 150643621680 -220108476321792 37434112216317440 -259405759761365729280 -112198587502907767173480", "yuk": "1 1584 -141408 4631445504 1920814677792 13241763475363584 13775453890111936512 43818192546687116623872 67512765973052347202161440 163297349532867875585761120896", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/432","im":"0","approx_re":"-0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1728","im":"0","approx_re":"-0.000578703703704","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":"1/3456","im":"0","approx_re":"0.000289351851852","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":["1/3","1/3","2/3","2/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2432*X^4-2560*X^3-1760*X^2-480*X-48, 1314816*X^4+540672*X^3-918528*X^2-522240*X-76800, -160432128*X^4+254803968*X^3+212336640*X^2+60162048*X+5898240, -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", "hash": "b4d16d8dd1eb7839630ecf8e8d242023", "dim_h": "3", "inst": " 320 61084 19748928 9428973876 5618509433280 3845253330631020 2892405836819922752 2330756708127722933332 1979363847140433024517632 1751890593945326994096072180", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(64z+1)(1728z-1)(-1+384z)^2", "discr_factors": "-16307453952, z-1/1728, z+1/64, (-1/384+z)^2", "dm_basis": null, "q": "0 1 -288 -36384 -12797952 -9672066000 -7623005064192 -6428933441480192 -5742516718520303616 -5358500671498636447080", "yuk": "1 320 488992 533221376 603454817056 702313679160320 830574719950010368 992095202029233504256 1193347434561997596683040 1442956244565375675406575104", "gv2": null, "gv0": null, "gv1": null, "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, "gv0": null, "gv1": null, "spectrum":[{"re":"-411/800000-41/800000*41^(1/2)","im":"0","approx_re":"-0.000842","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-411/800000+41/800000*41^(1/2)","im":"0","approx_re":"-0.000186","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":"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":"1/320","im":"0","approx_re":"0.003125","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":["1/5","2/5","3/5","4/5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -539-4067*X-11781*X^2-15428*X^3-7945*X^4, 28723*X^4+40708*X^3+13260*X^2-1337*X-896, -32126*X^4-38514*X^3-26511*X^2-10731*X-1806, 10010*X^4+19558*X^3+14784*X^2+5005*X+616, 121*(X+1)^4]", "text": "There is a second MUM-point at infinity,\n corresponding to Operator AESZ 198/5.25", "degz": 5, "h3": "21", "sol": "1 11 559 42923 3996751 416148761 46607742091 5494953548459 673006663951183 84887862132737261", "n_discr_factors": "2", "c3": "-102", "operator": "4 5 0 0 0 0 49 -539 -4067 -11781 -15428 -7945 -896 -1337 13260 40708 28723 -1806 -10731 -26511 -38514 -32126 616 5005 14784 19558 10010 121 484 726 484 121", "new_number": "5.22", "id": 230, "operator_tex": "7^{2} \\theta^4-7 x\\left(1135\\theta^4+2204\\theta^3+1683\\theta^2+581\\theta+77\\right)+x^{2}\\left(28723\\theta^4+40708\\theta^3+13260\\theta^2-1337\\theta-896\\right)-x^{3}\\left(32126\\theta^4+38514\\theta^3+26511\\theta^2+10731\\theta+1806\\right)+7 11 x^{4}\\left(130\\theta^4+254\\theta^3+192\\theta^2+65\\theta+8\\right)+11^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "129/7 41441/7", "discriminant": "5 49 -7945 28723 -32126 10010 121", "aesz": "193", "n_sing_complex": "3", "inst_int": "", "c2h": "-6", "hash": "44e6fc2823d5ff31e66059ba6b37f2ae", "dim_h": "3", "inst": " 129/7 1557/7 41441/7 1594332/7 75470601/7 4083256483/7 242408011110/7 15405866523039/7 1031525154832019/7 71972605248215250/7", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(z^3+84z^2-159z+1)(-7+11z)^2", "discr_factors": "121, z^3+84*z^2-159*z+1, (-7/11+z)^2", "dm_basis": null, "q": "0 1 -39 366 -7798 -253224 -16489617 -1110602999 -78861263877 -5835798947685", "yuk": "1 129/7 12585/7 1119036/7 102049833/7 1347689322 125997790260 83145947810859/7 7887803761845801/7 751981837873660887/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/4*(-7164+228*I*3^(1/2))^(1/3)-279/(-7164+228*I*3^(1/2))^(1/3)-28+1/2*I*3^(1/2)*(3/2*(-7164+228*I*3^(1/2))^(1/3)-558/(-7164+228*I*3^(1/2))^(1/3))","im":"0","approx_re":"-85.852157","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*(-7164+228*I*3^(1/2))^(1/3)-279/(-7164+228*I*3^(1/2))^(1/3)-28-1/2*I*3^(1/2)*(3/2*(-7164+228*I*3^(1/2))^(1/3)-558/(-7164+228*I*3^(1/2))^(1/3))","im":"0","approx_re":"0.00631","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/11","im":"0","approx_re":"0.636363636364","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/2*(-7164+228*I*3^(1/2))^(1/3)+558/(-7164+228*I*3^(1/2))^(1/3)-28","im":"0","approx_re":"1.845846","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": "[49*X^4, -784-6370*X-19558*X^2-26376*X^3-14784*X^4, -43008-217392*X-270444*X^2+164064*X^3+273120*X^4, 178080+1256976*X+3122752*X^2+2593920*X^3-852992*X^4, -1216*(1189*X^2+2533*X+1646)*(2*X+1)^2, 739328*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.29\" from ...", "degz": 5, "h3": "14", "sol": "1 16 1440 196000 32418400 6001382016 1195615957536 250815550677120 54669732261487200 12273394443662809600", "n_discr_factors": "3", "c3": "-100", "operator": "4 5 0 0 0 0 49 -784 -6370 -19558 -26376 -14784 -43008 -217392 -270444 164064 273120 178080 1256976 3122752 2593920 -852992 -2001536 -11086272 -21772480 -18103808 -5783296 6653952 35487744 65060864 47316992 11829248", "new_number": "5.29", "id": 237, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(1056\\theta^4+1884\\theta^3+1397\\theta^2+455\\theta+56\\right)+2^{2} 3 x^{2}\\left(22760\\theta^4+13672\\theta^3-22537\\theta^2-18116\\theta-3584\\right)-2^{4} x^{3}\\left(53312\\theta^4-162120\\theta^3-195172\\theta^2-78561\\theta-11130\\right)-2^{6} 19 x^{4}(1189\\theta^2+2533\\theta+1646)(2\\theta+1)^2+2^{11} 19^{2} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "274/7 281388/7", "discriminant": "5 49 -14784 273120 -852992 -5783296 11829248", "aesz": "208", "n_sing_complex": "0", "inst_int": "", "c2h": "8", "hash": "f1d6dfa8a5cdcc2513dfca4243565b2f", "dim_h": "3", "inst": " 274/7 6115/7 281388/7 2815228 1699166270/7 167520498514/7 18130503497782/7 2101140645114904/7 256572748557376418/7 32650723688057254965/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(4z+1)(512z^2-284z+1)(-7+76z)^2", "discr_factors": "11829248, z+1/4, (-7/76+z)^2, z^2-71/128*z+1/512", "dm_basis": null, "q": "0 1 -66 729 -32236 -3288420 -347743314 -43014021238 -5569467809928 -751375268522460", "yuk": "1 274/7 49194/7 7597750/7 1261271338/7 212395784024/7 36184435325694/7 6218762699739500/7 1075784011560102186/7 187041533698335006472/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","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":"71/256-17/256*17^(1/2)","im":"0","approx_re":"0.003544","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/76","im":"0","approx_re":"0.0921052631579","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"71/256+17/256*17^(1/2)","im":"0","approx_re":"0.551144","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","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48*(6*X+1)*(4*X+1)*(4*X+3)*(6*X+5)]", "text": "A-incarnation: X(3,4) in P^5(1,1,1,1,1,2)", "degz": 1, "h3": "2", "sol": "1 720 5821200 75473798400 1205906199498000 21687788871739710720 420947933228872374124800 8617212693271828524003840000 183473821651629217228869993930000 4026236119819439554462540885178400000", "n_discr_factors": "1", "c3": "-156", "operator": "4 1 0 0 0 0 1 -720 -9024 -36672 -55296 -27648", "new_number": "1.12", "id": 552, "operator_tex": "\\theta^4-2^{4} 3 x(6\\theta+1)(4\\theta+1)(4\\theta+3)(6\\theta+5)", "superseek": "7776 66942277344", "discriminant": "1 1 -27648", "aesz": "12", "n_sing_complex": "0", "inst_int": null, "c2h": "32", "hash": "ad7e2e881b3939396323eb746eb17a58", "dim_h": "3", "inst": " 7776 13952088 66942277344 475338414733416 4184555647748620320 42202437596672324405112 467469360560566398889166688 5545773258571693336885436523240 69328598617366670810510410649326848 903213185732777407964502721219416834120", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": null, "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "1-27648z", "discr_factors": "-27648, -1/27648+z", "dm_basis": null, "q": "0 1 -6144 6866784 -48364795904 -347475565045200 -4187620294286266368 -52283888489592435338752 -692070099523170842638811136 -9551942712179834224174131115368", "yuk": "1 7776 111624480 1807441496064 30421658654563104 523069455968577547776 9115726520883029624616960 160341990672274274818984181760 2839435908388707018907002154461984 50540548392060303020862091170800768256", "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":"1/27648","im":"0","approx_re":"3.61689814815e-05","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","1/4","3/4","5/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -80*(10*X+1)*(10*X+3)*(10*X+7)*(10*X+9)]", "text": "A-incarnation: X(10) in P^4(1,1,1,2,5)", "degz": 1, "h3": "1", "sol": "1 15120 3491888400 1304290155168000 601680868708529610000 312696069714024464473125120 175460887238127057573116837126400 103865765423748548466734695459219968000 63958974275578307119821712720619705931210000 40596987692554701292235753375257230410967703200000", "n_discr_factors": "1", "c3": "-288", "operator": "4 1 0 0 0 0 1 -15120 -240000 -1040000 -1600000 -800000", "new_number": "1.2", "id": 557, "operator_tex": "\\theta^4-2^{4} 5 x(10\\theta+1)(10\\theta+3)(10\\theta+7)(10\\theta+9)", "superseek": "231200 1700894366474400", "discriminant": "1 1 -800000", "aesz": "2", "n_sing_complex": "0", "inst_int": null, "c2h": "34", "hash": "709cba5c90462e9488c8a3dbbee8f89c", "dim_h": "3", "inst": " 231200 12215785600 1700894366474400 350154658851324656000 89338191421813572850115680 26107067114407746641915631734400 8377961119575977127785199800102445600 2879133858909474665080674534026982622960000 1042529487474393188294680546419175097976102240000 393379783550835131068573709411540202277855095755744640", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "A_{n}=\\frac{(10n)!}{(5n)!(2n)!n!^3}", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "1-800000z", "discr_factors": "-800000, -1/800000+z", "dm_basis": null, "q": "0 1 -179520 6827618400 -1265272725248000 -233438874774349890000 -84014992439836558674683904 -30289101903189904255362944867840 -11619689729536045445532883060919500800 -4645864956113305491776808357130573519857000", "yuk": "1 231200 97726516000 45924147895040000 22409898166582504500000 11167273927726696606264691200 5639126496712073320578022075955200 2873640664014560154830323531435139072000 1474116535761651028521327771319981685460020000 760003996368832634266822118339578692348726428000000", "gv2": null, "gv0": null, "gv1": null, 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