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{"pols": "[X^4, -6*(2*X+1)^2*(9*X^2+9*X+5), 2916*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\iota$", "degz": 2, "h3": null, "sol": "1 30 1782 129900 10463670 894351780 79506157500 7268449719960 678536243277750 64381774028157300", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -30 -174 -390 -432 -216 8748 40824 67068 46656 11664", "new_number": "2.58", "id": 53, "operator_tex": "\\theta^4-2 3 x(2\\theta+1)^2(9\\theta^2+9\\theta+5)+2^{2} 3^{6} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-6 -104", "discriminant": "2 1 -216 11664", "aesz": "46", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2226ec115674e71c483ba2c0350e8adf", "dim_h": null, "inst": " -6 -6 -104 36 -4812 37984 -444900 7911900 -81187538 1584490908", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(108z-1)^2", "discr_factors": "11664, (z-1/108)^2", "dm_basis": ["1/2-36*lambda", "-3", "5/6", "1", "0", "12", "-1", "0", "6", "-36", "0", "0", "36", "0", "0", "0"], "q": "0 1 -54 2079 -67356 1981287 -54730890 1447035885 -37047063960 925398152064", "yuk": "1 -6 -54 -2814 2250 -601506 8201682 -152600706 4050895050 -59185718016", "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":["1","0","0","0","1","1","0","0","0","-36","1","0","0","0","1","1"]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":["1/2+36*lambda","1/4+6*lambda","0",".19987912e-1","0","1","0","0","-6","3","1","1/4-6*lambda","-36","-6","0","1/2-36*lambda"],"monodromy_dm":["0","1","-666667/1000000","-1","-333333/1000000","-333333/1000000","111111/1000000","0","-4","-16","2333333/1000000","0","3333333/1000000","13333333/1000000","-1111111/1000000","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48*(2*X+1)^2*(18*X^2+18*X+13), 746496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\kappa$", "degz": 2, "h3": null, "sol": "1 624 685584 883925760 1229988226320 1789812200058624 2682147441688678656 4103873321005267070976 6377307485242500121320720 10029763457800404355003549440", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -624 -3360 -6816 -6912 -3456 2239488 10450944 17169408 11943936 2985984", "new_number": "2.59", "id": 54, "operator_tex": "\\theta^4-2^{4} 3 x(2\\theta+1)^2(18\\theta^2+18\\theta+13)+2^{10} 3^{6} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-384 -164736", "discriminant": "2 1 -3456 2985984", "aesz": "47", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "792da990d2d2e5263bb789ad37b00d44", "dim_h": null, "inst": " -384 -1356 -164736 96211836 -3267254400 1324023555492 -349900046361984 46529871681675420 -14270444316475610112 3245904575339035225980", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(1728z-1)^2", "discr_factors": "2985984, (z-1/1728)^2", "dm_basis": ["-1/6-108*lambda", "-1/3", "3/2", "1", "-4/3", "4", "-1", "0", "-2", "-4", "0", "0", "4", "0", "0", "0"], "q": "0 1 -864 529632 -272074752 126845233200 -55579615921152 23323579295205888 -9484471534401552384 3765369834109277512344", "yuk": "1 -384 -11232 -4448256 6157546272 -408406800384 285989083527168 -120015715902160896 23823294307175361312 -10403153906710724219904", "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":["1","0","0","0","1","1","0","0","0","-4","1","0","0","0","1","1"]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","-1/6","1","7/6"],"monodromy":["7/6+108*lambda","1/4-54*lambda","-1/18-36*lambda","-1/27*(-8*I*lambda*Pi^3)^(3/2)/Zeta(5)^(2/3)","4/3","1/3","-4/9","-1/18+36*lambda","2","3","1/3","1/4+54*lambda","-4","2","4/3","7/6-108*lambda"],"monodromy_dm":["0","1","-2","-1","1","-3","1","0","4","-16","5","0","-6","24","-6","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -368*X^4-224*X^3-208*X^2-96*X-16, 2048*X*(21*X^3+24*X^2+18*X+4), -65536*(2*X+1)*(10*X^3+7*X^2-5*X-4), -8388608*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Operator equivalent to 3.34, equivalent to\nAESZ 107 $=d \\ast d$.", "degz": 4, "h3": null, "sol": "1 16 912 67840 5839120 545884416 53886556416 5527209971712 583312107240720 62928509796655360", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -16 -96 -208 -224 -368 0 8192 36864 49152 43008 262144 851968 196608 -1572864 -1310720 -25165824 -117440512 -192937984 -134217728 -33554432", "new_number": "4.35", "id": 132, "operator_tex": "\\theta^4-2^{4} x\\left(23\\theta^4+14\\theta^3+13\\theta^2+6\\theta+1\\right)+2^{11} x^{2}\\theta(21\\theta^3+24\\theta^2+18\\theta+4)-2^{16} x^{3}(2\\theta+1)(10\\theta^3+7\\theta^2-5\\theta-4)-2^{23} x^{4}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-16 -1744", "discriminant": "4 1 -368 43008 -1310720 -33554432", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "cd392ce4c33f242f5d17e59976d0ea4f", "dim_h": null, "inst": " -16 -106 -1744 -29526 -644016 -14437922 -359438736 -9163638478 -246345604992 -6752150271598", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(16z+1)(128z-1)^3", "discr_factors": "-33554432, (z-1/128)^3, z+1/16", "dm_basis": null, "q": "0 1 -32 -96 7168 -52944 -857088 -1792512 -175964160 -8774633832", "yuk": "1 -16 -864 -47104 -1890528 -80502016 -3118639104 -123287486464 -4691784791264 -179585946086272", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -2765*X^4-3610*X^3-3055*X^2-1250*X-200, 122496*X^4+302208*X^3+353216*X^2+192640*X+39040, -2805760*X^4-9830400*X^3-14196736*X^2-9093120*X-2048000, 524288*(2*X+1)*(30*X^3+105*X^2+122*X+46), -33554432*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.107\" from ...", "degz": 5, "h3": null, "sol": "1 8 120 2240 50680 1387008 43627584 1473838080 51214208760 1801126733120", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 25 -200 -1250 -3055 -3610 -2765 39040 192640 353216 302208 122496 -2048000 -9093120 -14196736 -9830400 -2805760 24117248 112197632 182976512 125829120 31457280 -100663296 -469762048 -771751936 -536870912 -134217728", "new_number": "5.107", "id": 189, "operator_tex": "5^{2} \\theta^4-5 x\\left(553\\theta^4+722\\theta^3+611\\theta^2+250\\theta+40\\right)+2^{6} x^{2}\\left(1914\\theta^4+4722\\theta^3+5519\\theta^2+3010\\theta+610\\right)-2^{12} x^{3}\\left(685\\theta^4+2400\\theta^3+3466\\theta^2+2220\\theta+500\\right)+2^{19} x^{4}(2\\theta+1)(30\\theta^3+105\\theta^2+122\\theta+46)-2^{25} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "11/5 71/5", "discriminant": "5 25 -2765 122496 -2805760 31457280 -134217728", "aesz": "364", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c5b4bc60bc9d39ea420bd49fad182557", "dim_h": null, "inst": " 11/5 -8/5 71/5 738 26841/5 71028/5 1285026/5 50351594/5 786252554/5 6885546964/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32768z^3-2560z^2+85z-1)(-5+64z)^2", "discr_factors": "-134217728, (-5/64+z)^2, z^3-5/64*z^2+85/32768*z-1/32768", "dm_basis": null, "q": "0 1 -18 277 -4088 49790 -601226 7017898 -81144608 823861259", "yuk": "1 11/5 -53/5 1928/5 236107/5 3355136/5 15343912/5 440763929/5 5156050447 573178113794/5", "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":"-1/768*(388+114*114^(1/2))^(1/3)+55/384/(388+114*114^(1/2))^(1/3)+5/192","im":"0","approx_re":"0.023029","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(388+114*114^(1/2))^(1/3)-55/768/(388+114*114^(1/2))^(1/3)+5/192","im":"1/2*3^(1/2)*(-1/768*(388+114*114^(1/2))^(1/3)-55/384/(388+114*114^(1/2))^(1/3))","approx_re":"0.027548","approx_im":"-0.023797","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(388+114*114^(1/2))^(1/3)-55/768/(388+114*114^(1/2))^(1/3)+5/192","im":"-1/2*3^(1/2)*(-1/768*(388+114*114^(1/2))^(1/3)-55/384/(388+114*114^(1/2))^(1/3))","approx_re":"0.027548","approx_im":"0.023797","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/64","im":"0","approx_re":"0.078125","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -380*X^4-616*X^3-454*X^2-146*X-18, 19120*X^4+25216*X^3+9580*X^2+2568*X+540, -321600*X^4-406656*X^3-365136*X^2-173520*X-31104, 1152*(2*X+1)*(760*X^3+1464*X^2+1211*X+375), -746496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.109\" from ...", "degz": 5, "h3": null, "sol": "1 18 1782 276660 52396470 11120006268 2541130506684 611646862545576 152996910629924790 39422206347956983980", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -18 -146 -454 -616 -380 540 2568 9580 25216 19120 -31104 -173520 -365136 -406656 -321600 432000 2259072 4476672 4248576 1751040 -2239488 -10450944 -17169408 -11943936 -2985984", "new_number": "5.109", "id": 191, "operator_tex": "\\theta^4-2 x\\left(190\\theta^4+308\\theta^3+227\\theta^2+73\\theta+9\\right)+2^{2} x^{2}\\left(4780\\theta^4+6304\\theta^3+2395\\theta^2+642\\theta+135\\right)-2^{4} 3 x^{3}\\left(6700\\theta^4+8472\\theta^3+7607\\theta^2+3615\\theta+648\\right)+2^{7} 3^{2} x^{4}(2\\theta+1)(760\\theta^3+1464\\theta^2+1211\\theta+375)-2^{10} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "50 68472", "discriminant": "5 1 -380 19120 -321600 1751040 -2985984", "aesz": "373", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8b0fbfc0016c3fb02fd42d4ff919e0f8", "dim_h": null, "inst": " 50 1299 68472 5536032 555252324 63681370020 8019074485356 1081455690635976 153688981728011670 22762847713147431542", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+324z)(24z-1)^2(4z-1)^2", "discr_factors": "-2985984, (z-1/4)^2, (z-1/24)^2, -1/324+z", "dm_basis": null, "q": "0 1 -74 831 -59428 -5785081 -780141174 -110687328275 -16669325292008 -2616158955916800", "yuk": "1 50 10442 1848794 354316490 69406540550 13755177783506 2750542548477158 553705313959936202 112039267679722356224", "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":"1/324","im":"0","approx_re":"0.00308641975309","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -8960*X^4+512*X^3-896*X^2-1152*X-240, 29360128*X^4+8912896*X^3+19791872*X^2+6422528*X+688128, -43486543872*X^4-53150220288*X^3-54962159616*X^2-24763170816*X-4378853376, 927712935936*(2*X+1)*(16*X^3+32*X^2+28*X+9), -1899956092796928*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as double octic D.O.256\n", "degz": 5, "h3": null, "sol": "1 240 118032 72810240 50454043920 37588282986240 29441419461484800 23928102481655623680 20008390694960036912400 17112909862578398281670400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -240 -1152 -896 512 -8960 688128 6422528 19791872 8912896 29360128 -4378853376 -24763170816 -54962159616 -53150220288 -43486543872 8349416423424 42674795053056 81638738362368 74217034874880 29686813949952 -5699868278390784 -26599385299156992 -43698990134329344 -30399297484750848 -7599824371187712", "new_number": "5.114", "id": 197, "operator_tex": "\\theta^4-2^{4} x\\left(560\\theta^4-32\\theta^3+56\\theta^2+72\\theta+15\\right)+2^{15} x^{2}\\left(896\\theta^4+272\\theta^3+604\\theta^2+196\\theta+21\\right)-2^{24} 3^{2} x^{3}\\left(288\\theta^4+352\\theta^3+364\\theta^2+164\\theta+29\\right)+2^{35} 3^{3} x^{4}(2\\theta+1)(16\\theta^3+32\\theta^2+28\\theta+9)-2^{46} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-1312 -127846048", "discriminant": "5 1 -8960 29360128 -43486543872 29686813949952 -7599824371187712", "aesz": "412", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4a9870395db313fa368bbafcfc6a7435", "dim_h": null, "inst": " -1312 -301048 -127846048 -70845744192 -45645879602784 -32400712790843032 -24605134334059982880 -19638165804689158014016 -16283852889535935616536320 -13916857197623082953029203496", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+768z)(3072z-1)^2(1024z-1)^2", "discr_factors": "-7599824371187712, (z-1/1024)^2, (z-1/3072)^2, -1/768+z", "dm_basis": null, "q": "0 1 -192 51296 11540480 12988194352 10786354931712 9649495854113280 8826933516730236928 8251689476344319466136", "yuk": "1 -1312 -2409696 -3451844608 -4534130037984 -5705734950349312 -6998553966276347904 -8439561076582574129152 -10054740892005383033214176 -11870928756471697067906821888", "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":"1/3072","im":"0","approx_re":"0.000325520833333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1024","im":"0","approx_re":"0.0009765625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/768","im":"0","approx_re":"0.00130208333333","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 8960*X^4-512*X^3+896*X^2+1152*X+240, 29360128*X^4+8912896*X^3+19791872*X^2+6422528*X+688128, 43486543872*X^4+53150220288*X^3+54962159616*X^2+24763170816*X+4378853376, 927712935936*(2*X+1)*(16*X^3+32*X^2+28*X+9), 1899956092796928*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.118\" from ...", "degz": 5, "h3": null, "sol": "1 -240 118032 -72810240 50454043920 -37588282986240 29441419461484800 -23928102481655623680 20008390694960036912400 -17112909862578398281670400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 240 1152 896 -512 8960 688128 6422528 19791872 8912896 29360128 4378853376 24763170816 54962159616 53150220288 43486543872 8349416423424 42674795053056 81638738362368 74217034874880 29686813949952 5699868278390784 26599385299156992 43698990134329344 30399297484750848 7599824371187712", "new_number": "5.118", "id": 201, "operator_tex": "\\theta^4+2^{4} x\\left(560\\theta^4-32\\theta^3+56\\theta^2+72\\theta+15\\right)+2^{15} x^{2}\\left(896\\theta^4+272\\theta^3+604\\theta^2+196\\theta+21\\right)+2^{24} 3^{2} x^{3}\\left(288\\theta^4+352\\theta^3+364\\theta^2+164\\theta+29\\right)+2^{35} 3^{3} x^{4}(2\\theta+1)(16\\theta^3+32\\theta^2+28\\theta+9)+2^{46} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "1312 127846048", "discriminant": "5 1 8960 29360128 43486543872 29686813949952 7599824371187712", "aesz": "416", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "3ae3241981d64d9c9cc38b29974fa202", "dim_h": null, "inst": " 1312 -301376 127846048 -70845744192 45645879602784 -32400712822804544 24605134334059982880 -19638165804689158014016 16283852889535935616536320 -13916857197623094364499104192", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+768z)(1024z+1)^2(3072z+1)^2", "discr_factors": "7599824371187712, (z+1/1024)^2, 1/768+z, (z+1/3072)^2", "dm_basis": null, "q": "0 1 192 51296 -11540480 12988194352 -10786354931712 9649495854113280 -8826933516730236928 8251689476344319466136", "yuk": "1 1312 -2409696 3451844608 -4534130037984 5705734950349312 -6998553966276347904 8439561076582574129152 -10054740892005383033214176 11870928756471697067906821888", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/768","im":"0","approx_re":"-0.00130208333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1024","im":"0","approx_re":"-0.0009765625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3072","im":"0","approx_re":"-0.000325520833333","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -252*X^4-1224*X^3-870*X^2-258*X-30, -107728*X^4-163072*X^3+27772*X^2+33928*X+6540, -8032320*X^4-2770560*X^3-1279440*X^2-648720*X-129600, -86400*(2*X+1)*(304*X^3+356*X^2+97*X-15), 86400000*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.119\" from ...", "degz": 5, "h3": null, "sol": "1 30 4530 1074900 312527250 102033732780 35906547161100 13317330982527000 5134910691028511250 2040019718806659661500", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -258 -870 -1224 -252 6540 33928 27772 -163072 -107728 -129600 -648720 -1279440 -2770560 -8032320 1296000 -5788800 -47520000 -87782400 -52531200 259200000 1209600000 1987200000 1382400000 345600000", "new_number": "5.119", "id": 202, "operator_tex": "\\theta^4-2 3 x\\left(42\\theta^4+204\\theta^3+145\\theta^2+43\\theta+5\\right)-2^{2} x^{2}\\left(26932\\theta^4+40768\\theta^3-6943\\theta^2-8482\\theta-1635\\right)-2^{4} 3^{2} 5 x^{3}\\left(11156\\theta^4+3848\\theta^3+1777\\theta^2+901\\theta+180\\right)-2^{7} 3^{3} 5^{2} x^{4}(2\\theta+1)(304\\theta^3+356\\theta^2+97\\theta-15)+2^{10} 3^{3} 5^{5} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "138 278872", "discriminant": "5 1 -252 -107728 -8032320 -52531200 345600000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "61d7a82df3cf3c429b6286bc39ccb426", "dim_h": null, "inst": " 138 1139 278872 21493934 3832908140 579012503372 108834867317748 20766243538432990 4266742650765644330 905578914257005697330", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(4z-1)(500z-1)(12z+1)(1+120z)^2", "discr_factors": "345600000, z-1/4, z+1/12, (1/120+z)^2, z-1/500", "dm_basis": null, "q": "0 1 -138 8647 -801124 31426915 -8221373958 -454530197791 -208804715653736 -37126365593596418", "yuk": "1 138 9250 7529682 1375621026 479113517638 125066708267146 37330359489987702 10632316693053311906 3110455392408162246252", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/120","im":"0","approx_re":"-0.00833333333333","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":"1/500","im":"0","approx_re":"0.002","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -656*X^4-544*X^3-400*X^2-128*X-16, 129024*X^4+110592*X^3+33792*X^2+6144*X+1024, -9240576*X^4-8257536*X^3-7028736*X^2-3194880*X-557056, 2097152*(2*X+1)*(44*X^3+78*X^2+59*X+17), -268435456*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 821--1\n", "degz": 5, "h3": null, "sol": "1 16 1680 298240 64975120 15870710016 4174610770176 1156679133941760 333068462173109520 98796338404715311360", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -16 -128 -400 -544 -656 1024 6144 33792 110592 129024 -557056 -3194880 -7028736 -8257536 -9240576 35651584 195035136 411041792 419430400 184549376 -805306368 -3758096384 -6174015488 -4294967296 -1073741824", "new_number": "5.120", "id": 204, "operator_tex": "\\theta^4-2^{4} x\\left(41\\theta^4+34\\theta^3+25\\theta^2+8\\theta+1\\right)+2^{10} x^{2}\\left(126\\theta^4+108\\theta^3+33\\theta^2+6\\theta+1\\right)-2^{14} x^{3}\\left(564\\theta^4+504\\theta^3+429\\theta^2+195\\theta+34\\right)+2^{21} x^{4}(2\\theta+1)(44\\theta^3+78\\theta^2+59\\theta+17)-2^{28} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "48 171120", "discriminant": "5 1 -656 129024 -9240576 184549376 -1073741824", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "3eb6b52ff225f7b2f94716d73344b578", "dim_h": null, "inst": " 48 2286 171120 17540830 2229934864 326339842902 52567571647664 9076424562073894 1651987350168225408 313406830295820825818", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(4096z^2-384z+1)(-1+128z)^2", "discr_factors": "-1073741824, z-1/16, (-1/128+z)^2, z^2-3/32*z+1/4096", "dm_basis": null, "q": "0 1 -64 -1248 -162816 -21446864 -3535650816 -637185360384 -121871903883264 -24354389231186280", "yuk": "1 48 18336 4620288 1122631456 278741858048 70489410705408 18030677075148800 4647129376904465184 1204298778272640942720", "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":"3/64-1/32*2^(1/2)","im":"0","approx_re":"0.002681","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64+1/32*2^(1/2)","im":"0","approx_re":"0.091069","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -272*X^4-2080*X^3-1456*X^2-416*X-48, -307200*X^4-417792*X^3+333824*X^2+225280*X+43008, -36962304*X^4+42467328*X^3+38993920*X^2+12386304*X+1179648, 16777216*(2*X+1)*(52*X^3+66*X^2+29*X+3), -4294967296*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 182--1\n", "degz": 5, "h3": null, "sol": "1 48 10128 3521280 1516853520 736106773248 385585359608064 213027552363884544 122409491094916431120 72494339833505100276480", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -48 -416 -1456 -2080 -272 43008 225280 333824 -417792 -307200 1179648 12386304 38993920 42467328 -36962304 50331648 587202560 2080374784 3087007744 1744830464 -12884901888 -60129542144 -98784247808 -68719476736 -17179869184", "new_number": "5.121", "id": 205, "operator_tex": "\\theta^4-2^{4} x\\left(17\\theta^4+130\\theta^3+91\\theta^2+26\\theta+3\\right)-2^{11} x^{2}\\left(150\\theta^4+204\\theta^3-163\\theta^2-110\\theta-21\\right)-2^{16} x^{3}\\left(564\\theta^4-648\\theta^3-595\\theta^2-189\\theta-18\\right)+2^{24} x^{4}(2\\theta+1)(52\\theta^3+66\\theta^2+29\\theta+3)-2^{32} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "272 1143760", "discriminant": "5 1 -272 -307200 -36962304 1744830464 -17179869184", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "36da1ed5dd29b416116a3ac9f4b4c4da", "dim_h": null, "inst": " 272 -142 1143760 76778666 28997783216 5311809815178 1592772509708944 417669471289440562 126965187540855723904 38429017372271226727750", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(16384z^2-768z+1)(1+256z)^2", "discr_factors": "-17179869184, z-1/16, z^2-3/64*z+1/16384, (1/256+z)^2", "dm_basis": null, "q": "0 1 -224 28576 -4692992 569979184 -123508935680 8997071726080 -4662181982044160 -287545014192589160", "yuk": "1 272 -864 30881792 4913833760 3624722902272 1147350950959104 546320970830168064 213846769305107401504 92557621717283853607808", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","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":"3/128-1/64*2^(1/2)","im":"0","approx_re":"0.00134","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128+1/64*2^(1/2)","im":"0","approx_re":"0.045535","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 119*X^4-194*X^3-143*X^2-46*X-6, -1656*X^4-26928*X^3-13644*X^2-5400*X-972, -701136*X^4-2029536*X^3-2404404*X^2-1338444*X-274104, -209952*(2*X+1)*(76*X^3+222*X^2+235*X+85), -136048896*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- 623--1\n\n", "degz": 5, "h3": null, "sol": "1 6 162 7620 334530 18636156 1065953196 64285927992 4049248499010 261172198741740", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -6 -46 -143 -194 119 -972 -5400 -13644 -26928 -1656 -274104 -1338444 -2404404 -2029536 -701136 -17845920 -85030560 -145286784 -109175040 -31912704 -408146688 -1904684544 -3129124608 -2176782336 -544195584", "new_number": "5.122", "id": 206, "operator_tex": "\\theta^4+x\\left(119\\theta^4-194\\theta^3-143\\theta^2-46\\theta-6\\right)-2^{2} 3^{2} x^{2}\\left(46\\theta^4+748\\theta^3+379\\theta^2+150\\theta+27\\right)-2^{2} 3^{4} x^{3}\\left(2164\\theta^4+6264\\theta^3+7421\\theta^2+4131\\theta+846\\right)-2^{5} 3^{8} x^{4}(2\\theta+1)(76\\theta^3+222\\theta^2+235\\theta+85)-2^{8} 3^{12} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "19 18641/3", "discriminant": "5 1 119 -1656 -701136 -31912704 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305283509153051890014424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/576","im":"0","approx_re":"-0.00173611111111","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":"1/576","im":"0","approx_re":"0.00173611111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144","im":"0","approx_re":"0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48-352*X-1120*X^2-1536*X^3+384*X^4, 46080+206848*X+277504*X^2-507904*X^3-126976*X^4, 5898240+36569088*X+77856768*X^2+66060288*X^3-37748736*X^4, 452984832*(X+1)*(2*X+1)*(6*X^2+11*X+6), 115964116992*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-incarnation as self-fibre product S53211\n", "degz": 5, "h3": null, "sol": "1 48 5136 710400 112104720 19210722048 3487228571904 660942598238208 129587494310960400 26115030111268750080", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -48 -352 -1120 -1536 384 46080 206848 277504 -507904 -126976 5898240 36569088 77856768 66060288 -37748736 2717908992 13136560128 23102226432 18119393280 5435817984 347892350976 1623497637888 2667174690816 1855425871872 463856467968", "new_number": "5.133", "id": 218, "operator_tex": "\\theta^4+2^{4} x\\left(24\\theta^4-96\\theta^3-70\\theta^2-22\\theta-3\\right)-2^{10} x^{2}\\left(124\\theta^4+496\\theta^3-271\\theta^2-202\\theta-45\\right)-2^{17} 3^{2} x^{3}\\left(32\\theta^4-56\\theta^3-66\\theta^2-31\\theta-5\\right)+2^{24} 3^{3} x^{4}(\\theta+1)(2\\theta+1)(6\\theta^2+11\\theta+6)+2^{32} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "192 1016256", "discriminant": "5 1 384 -126976 -37748736 5435817984 463856467968", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0f3cb34d2bc462fbc58cdf15040595d1", "dim_h": null, "inst": " 192 -9940 1016256 -134713756 20854352960 -3558106223428 650099875656384 -124906372712813436 24944397556163013120 -5136229055822115310300", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(256z-1)(64z+1)(192z-1)(1+384z)^2", "discr_factors": "463856467968, z-1/192, z-1/256, (1/384+z)^2, z+1/64", "dm_basis": null, "q": "0 1 -160 25568 -4409344 816759856 -160414850048 32970378328576 -7020154360758272 1536842193102066328", "yuk": "1 192 -79328 27439104 -8621759712 2606794120192 -768550916900864 222984257350139904 -63952062837582238944 18184465818442864003584", "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":"-1/384","im":"0","approx_re":"-0.00260416666667","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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192","im":"0","approx_re":"0.00520833333333","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -3072*X^4-3840*X^3-3252*X^2-1332*X-216, 397312*X^4+901120*X^3+1025536*X^2+569856*X+118656, -24641536*X^4-75497472*X^3-99680256*X^2-60751872*X-13271040, 2097152*(2*X+1)*(176*X^3+552*X^2+622*X+231), -2147483648*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.17\" from ...", "degz": 5, "h3": null, "sol": "1 24 1128 67200 4634280 356457024 29883254016 2681828278272 253852820793000 25044278060218560", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 9 -216 -1332 -3252 -3840 -3072 118656 569856 1025536 901120 397312 -13271040 -60751872 -99680256 -75497472 -24641536 484442112 2273312768 3766484992 2684354560 738197504 -6442450944 -30064771072 -49392123904 -34359738368 -8589934592", "new_number": "5.17", "id": 224, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(256\\theta^4+320\\theta^3+271\\theta^2+111\\theta+18\\right)+2^{7} x^{2}\\left(3104\\theta^4+7040\\theta^3+8012\\theta^2+4452\\theta+927\\right)-2^{15} x^{3}\\left(752\\theta^4+2304\\theta^3+3042\\theta^2+1854\\theta+405\\right)+2^{21} x^{4}(2\\theta+1)(176\\theta^3+552\\theta^2+622\\theta+231)-2^{31} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "28/3 3892/3", "discriminant": "5 9 -3072 397312 -24641536 738197504 -8589934592", "aesz": "119", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "dc8ec37012f2c92c83e6519935956eeb", "dim_h": null, "inst": " 28/3 394/3 3892/3 108262/3 1044128 103730222/3 1261935036 148614445022/3 6125740231888/3 87828293979248", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+128z)(64z-1)^2(128z-3)^2", "discr_factors": "-8589934592, (z-1/64)^2, (z-3/128)^2, -1/128+z", "dm_basis": null, "q": "0 1 -52 2014 -71568 2248493 -69311704 1952525586 -57312184128 1467953048326", "yuk": "1 28/3 1060 105112/3 6931948/3 391548028/3 7468612072 1298531152072/3 76090602783212/3 4465664629151464/3", "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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/4","3/4","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128","im":"0","approx_re":"0.0234375","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, -4046-31790*X-94826*X^2-126072*X^3-64668*X^4, -22644-96424*X-40116*X^2+274304*X^3+249632*X^4, -19176-71196*X-83140*X^2-132192*X^3-264720*X^4, 128*(2*X+1)*(196*X^3+498*X^2+487*X+169), -4096*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.30\" from ...", "degz": 5, "h3": "17", "sol": "1 14 978 103820 13387570 1931770764 299940008676 49034333980632 8328608725527090 1456980085586365340", "n_discr_factors": "2", "c3": "-108", "operator": "4 5 0 0 0 0 289 -4046 -31790 -94826 -126072 -64668 -22644 -96424 -40116 274304 249632 -19176 -71196 -83140 -132192 -264720 21632 105600 188416 152576 50176 -12288 -57344 -94208 -65536 -16384", "new_number": "5.30", "id": 239, "operator_tex": "17^{2} \\theta^4-2 17 x\\left(1902\\theta^4+3708\\theta^3+2789\\theta^2+935\\theta+119\\right)+2^{2} x^{2}\\left(62408\\theta^4+68576\\theta^3-10029\\theta^2-24106\\theta-5661\\right)-2^{2} x^{3}\\left(66180\\theta^4+33048\\theta^3+20785\\theta^2+17799\\theta+4794\\right)+2^{7} x^{4}(2\\theta+1)(196\\theta^3+498\\theta^2+487\\theta+169)-2^{12} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "478/17 285760/17", "discriminant": "5 289 -64668 249632 -264720 50176 -16384", "aesz": "209\n", "n_sing_complex": "2", "inst_int": "", "c2h": "62", "hash": "a03a0a18a8b2a4926d11e4e42b958f98", "dim_h": "8", "inst": " 478/17 7784/17 285760/17 15280156/17 1006004774/17 75737241572/17 6257539142106/17 553524504129196/17 51587780940385410/17 5010295894830256372/17", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z^3-32z^2+220z-1)(-17+32z)^2", "discr_factors": "-16384, z^3-2*z^2+55/4*z-1/16, (-17/32+z)^2", "dm_basis": null, "q": "0 1 -54 713 -21520 -949212 -86515990 -8111414908 -801691231400 -82590394513602", "yuk": "1 478/17 62750/17 7715998/17 977992734/17 125750597228/17 16359251957822/17 2146335925742836/17 283404547092141086/17 37607492305548679888/17", "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":"-1/12*(7354+2838*33^(1/2))^(1/3)+149/3/(7354+2838*33^(1/2))^(1/3)+2/3","im":"0","approx_re":"0.004548","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/32","im":"0","approx_re":"0.53125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(7354+2838*33^(1/2))^(1/3)-149/6/(7354+2838*33^(1/2))^(1/3)+2/3","im":"1/4*3^(1/2)*(-1/6*(7354+2838*33^(1/2))^(1/3)-298/3/(7354+2838*33^(1/2))^(1/3))","approx_re":"0.997726","approx_im":"-3.570079","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(7354+2838*33^(1/2))^(1/3)-149/6/(7354+2838*33^(1/2))^(1/3)+2/3","im":"-1/4*3^(1/2)*(-1/6*(7354+2838*33^(1/2))^(1/3)-298/3/(7354+2838*33^(1/2))^(1/3))","approx_re":"0.997726","approx_im":"3.570079","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -200-1450*X-4095*X^2-5290*X^3-5285*X^4, 5760+48320*X+186816*X^2+365408*X^3+323936*X^4, -1305600-6528000*X-12342016*X^2-11919360*X^3-7931136*X^4, 180224*(2*X+1)*(234*X^3+591*X^2+581*X+202), -126877696*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.39\" from ...", "degz": 5, "h3": "20", "sol": "1 8 312 19520 1475320 124363008 11265866304 1073852921856 106307436601080 10836331719836480", "n_discr_factors": "3", "c3": "-72", "operator": "4 5 0 0 0 0 25 -200 -1450 -4095 -5290 -5285 5760 48320 186816 365408 323936 -1305600 -6528000 -12342016 -11919360 -7931136 36405248 177520640 315932672 255197184 84344832 -380633088 -1776287744 -2918187008 -2030043136 -507510784", "new_number": "5.39", "id": 248, "operator_tex": "5^{2} \\theta^4-5 x\\left(1057\\theta^4+1058\\theta^3+819\\theta^2+290\\theta+40\\right)+2^{5} x^{2}\\left(10123\\theta^4+11419\\theta^3+5838\\theta^2+1510\\theta+180\\right)-2^{8} x^{3}\\left(30981\\theta^4+46560\\theta^3+48211\\theta^2+25500\\theta+5100\\right)+2^{14} 11 x^{4}(2\\theta+1)(234\\theta^3+591\\theta^2+581\\theta+202)-2^{20} 11^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "59/5 22503/5", "discriminant": "5 25 -5285 323936 -7931136 84344832 -507510784", "aesz": "224", "n_sing_complex": "2", "inst_int": "", "c2h": "56", "hash": "ba17e8cb074bba75e7a27206be530698", "dim_h": "8", "inst": " 59/5 186 22503/5 718052/5 29091017/5 1367927712/5 14151915978 3919628383228/5 228793583855178/5 13919107695848262/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(128z-1)(128z^2-13z+1)(-5+176z)^2", "discr_factors": "-507510784, (-5/176+z)^2, z-1/128, z^2-13/128*z+1/128", "dm_basis": null, "q": "0 1 -26 -27 -5160 -163922 -10140210 -599548870 -37048333664 -2381226834885", "yuk": "1 59/5 7499/5 121528 45962827/5 3636377184/5 295473000872/5 24270535902329/5 2006849778175563/5 166790522631032402/5", "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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/176","im":"0","approx_re":"0.0284090909091","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"13/256","im":"-7/256*7^(1/2)","approx_re":"0.05078125","approx_im":"-0.072345","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/256","im":"7/256*7^(1/2)","approx_re":"0.05078125","approx_im":"0.072345","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -14*X*(192*X^3+60*X^2+37*X+7), -75264-378224*X-666860*X^2-460576*X^3-70432*X^4, -723744-1073520*X+3963456*X^2+8249472*X^3+2921472*X^4, -15552*(2*X+1)*(458*X^3-657*X^2-1799*X-846), -26873856*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.43\" from ...", "degz": 5, "h3": "28", "sol": "1 0 96 1440 90720 3024000 159482400 7063056000 367127560800 18305826739200", "n_discr_factors": "4", "c3": "-88", "operator": "4 5 0 0 0 0 49 0 -98 -518 -840 -2688 -75264 -378224 -666860 -460576 -70432 -723744 -1073520 3963456 8249472 2921472 13156992 54292032 66173760 13312512 -14245632 -80621568 -376233984 -618098688 -429981696 -107495424", "new_number": "5.43", "id": 253, "operator_tex": "7^{2} \\theta^4-2 7 x\\theta(192\\theta^3+60\\theta^2+37\\theta+7)-2^{2} x^{2}\\left(17608\\theta^4+115144\\theta^3+166715\\theta^2+94556\\theta+18816\\right)+2^{4} 3^{2} x^{3}\\left(20288\\theta^4+57288\\theta^3+27524\\theta^2-7455\\theta-5026\\right)-2^{6} 3^{5} x^{4}(2\\theta+1)(458\\theta^3-657\\theta^2-1799\\theta-846)-2^{12} 3^{8} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "18/7 5676/7", "discriminant": "5 49 -2688 -70432 2921472 -14245632 -107495424", "aesz": "234", "n_sing_complex": "0", "inst_int": "", "c2h": "64", "hash": "3e70b30959c0c3bd799b435b9c842186", "dim_h": "10", "inst": " 18/7 515/7 5676/7 133796/7 2929726/7 87647986/7 2643655734/7 89882706040/7 3134330742434/7 115631317695925/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(64z-1)(36z+1)(4z+1)(-7+108z)^2", "discr_factors": "-107495424, z-1/64, z+1/36, z+1/4, (-7/108+z)^2", "dm_basis": null, "q": "0 1 -2 -295 -2924 -32612 -911890 -42874486 -1630783880 -64380442076", "yuk": "1 18/7 4138/7 153270/7 8567082/7 366215768/7 18932122366/7 906773916780/7 6574279151366 2284927111387656/7", "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":"-1/36","im":"0","approx_re":"-0.0277777777778","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":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/108","im":"0","approx_re":"0.0648148148148","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 5840*X^4+7360*X^3+5780*X^2+2100*X+300, 395776*X^4+698368*X^3+622976*X^2+303680*X+59760, 11575296*X^4+26542080*X^3+29159424*X^2+15344640*X+3018240, 331776*(2*X+1)*(232*X^3+588*X^2+590*X+207), 191102976*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.55\" from ...", "degz": 5, "h3": null, "sol": "1 -12 492 -32880 2743020 -257986512 26170078704 -2797796574144 310918611526380 -35596887110962320", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 300 2100 5780 7360 5840 59760 303680 622976 698368 395776 3018240 15344640 29159424 26542080 11575296 68677632 333103104 586579968 467140608 153944064 573308928 2675441664 4395368448 3057647616 764411904", "new_number": "5.55", "id": 266, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(292\\theta^4+368\\theta^3+289\\theta^2+105\\theta+15\\right)+2^{4} x^{2}\\left(24736\\theta^4+43648\\theta^3+38936\\theta^2+18980\\theta+3735\\right)+2^{9} 3^{2} x^{3}\\left(2512\\theta^4+5760\\theta^3+6328\\theta^2+3330\\theta+655\\right)+2^{12} 3^{4} x^{4}(2\\theta+1)(232\\theta^3+588\\theta^2+590\\theta+207)+2^{18} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-76/5 -24836/5", "discriminant": "5 25 5840 395776 11575296 153944064 764411904", "aesz": "261", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "adadb5e720011482371f48cfa73dab99", "dim_h": null, "inst": " -76/5 1103/5 -24836/5 847456/5 -36542448/5 1806132437/5 -97926149796/5 5684771847792/5 -69550113320856 22170307605956652/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+144z)(16z+1)^2(144z+5)^2", "discr_factors": "764411904, (z+1/16)^2, (z+5/144)^2, 1/144+z", "dm_basis": null, "q": "0 1 36 422 11664 -77567 12260376 -650003662 43465220160 -2919137690348", "yuk": "1 -76/5 8748/5 -670648/5 54245932/5 -4567806076/5 390123944568/5 -33588669380104/5 2910603240315436/5 -253510163055190768/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-5/144","im":"0","approx_re":"-0.0347222222222","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"0","approx_re":"-0.00694444444444","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[441*X^4, -69069*X^4-128058*X^3-97545*X^2-33516*X-4410, 154240*X^4-923360*X^3-2137700*X^2-1348200*X-272580, 1706176*X^4+7894656*X^3+6723376*X^2+1861776*X+97440, -1280*(2*X+1)*(1916*X^3+2622*X^2+1077*X+91), -102400*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.70\" from ...", "degz": 5, "h3": "21", "sol": "1 10 510 38260 3473470 352297260 38418834300 4409395247400 525660485471550 64530507898499500", "n_discr_factors": "2", "c3": "-104", "operator": "4 5 0 0 0 0 441 -4410 -33516 -97545 -128058 -69069 -272580 -1348200 -2137700 -923360 154240 97440 1861776 6723376 7894656 1706176 -116480 -1611520 -6113280 -9164800 -4904960 -307200 -1433600 -2355200 -1638400 -409600", "new_number": "5.70", "id": 283, "operator_tex": "3^{2} 7^{2} \\theta^4-3 7 x\\left(3289\\theta^4+6098\\theta^3+4645\\theta^2+1596\\theta+210\\right)+2^{2} 5 x^{2}\\left(7712\\theta^4-46168\\theta^3-106885\\theta^2-67410\\theta-13629\\right)+2^{4} x^{3}\\left(106636\\theta^4+493416\\theta^3+420211\\theta^2+116361\\theta+6090\\right)-2^{8} 5 x^{4}(2\\theta+1)(1916\\theta^3+2622\\theta^2+1077\\theta+91)-2^{12} 5^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "361/21 120472/21", "discriminant": "5 441 -69069 154240 1706176 -4904960 -409600", "aesz": "287", "n_sing_complex": "3", "inst_int": "", "c2h": "66", "hash": "97932196c46a8712f6dcb11165d698be", "dim_h": "9", "inst": " 361/21 4780/21 120472/21 1537864/7 216261320/21 551815860 227115423676/7 42888879100432/21 2844347183044252/21 28081588564888700/3", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(64z^3+800z^2+149z-1)(-21+80z)^2", "discr_factors": "-409600, z^3+25/2*z^2+149/64*z-1/64, (-21/80+z)^2", "dm_basis": null, "q": "0 1 -36 176 -3368 -308928 -16116704 -1091407860 -76859141872 -5629218172992", "yuk": "1 361/21 12867/7 3253105/21 14062309 27032665361/21 834346677435/7 233701770962965/21 21959106394729673/21 2073529096442512813/21", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48*(-932842+2607*I*237^(1/2))^(1/3)-9553/48/(-932842+2607*I*237^(1/2))^(1/3)-25/6+1/2*I*3^(1/2)*(1/24*(-932842+2607*I*237^(1/2))^(1/3)-9553/24/(-932842+2607*I*237^(1/2))^(1/3))","im":"0","approx_re":"-12.310784","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(-932842+2607*I*237^(1/2))^(1/3)-9553/48/(-932842+2607*I*237^(1/2))^(1/3)-25/6-1/2*I*3^(1/2)*(1/24*(-932842+2607*I*237^(1/2))^(1/3)-9553/24/(-932842+2607*I*237^(1/2))^(1/3))","im":"0","approx_re":"-0.195701","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":"1/24*(-932842+2607*I*237^(1/2))^(1/3)+9553/24/(-932842+2607*I*237^(1/2))^(1/3)-25/6","im":"0","approx_re":"0.006485","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"21/80","im":"0","approx_re":"0.2625","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -216*X^4-264*X^3-196*X^2-64*X-8, 6672*X^4-4896*X^3-19504*X^2-12416*X-2464, 42496*X^4+491520*X^3+406784*X^2+110592*X+5888, -28672*(2*X+1)*(38*X^3+45*X^2+12*X-2), -802816*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.73\" from ...", "degz": 5, "h3": "16", "sol": "1 8 528 45440 4763920 556795008 69938905344 9243039995904 1268613972671760 179279670581348480", "n_discr_factors": "3", "c3": "-72", "operator": "4 5 0 0 0 0 1 -8 -64 -196 -264 -216 -2464 -12416 -19504 -4896 6672 5888 110592 406784 491520 42496 57344 -229376 -1978368 -3670016 -2179072 -2408448 -11239424 -18464768 -12845056 -3211264", "new_number": "5.73", "id": 286, "operator_tex": "\\theta^4-2^{2} x\\left(54\\theta^4+66\\theta^3+49\\theta^2+16\\theta+2\\right)+2^{4} x^{2}\\left(417\\theta^4-306\\theta^3-1219\\theta^2-776\\theta-154\\right)+2^{8} x^{3}\\left(166\\theta^4+1920\\theta^3+1589\\theta^2+432\\theta+23\\right)-2^{12} 7 x^{4}(2\\theta+1)(38\\theta^3+45\\theta^2+12\\theta-2)-2^{14} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "20 13188", "discriminant": "5 1 -216 6672 42496 -2179072 -3211264", "aesz": "293\n", "n_sing_complex": "0", "inst_int": "", "c2h": "52", "hash": "f19eeaee48396d15d7cf7be47d7d48a7", "dim_h": "7", "inst": " 20 867/2 13188 609734 35512476 4757494887/2 174895402996 13771251674214 1142718645352032 197654872436043985/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(256z^2+176z-1)(-1+28z)^2", "discr_factors": "-3211264, z^2+11/16*z-1/256, z+1/16, (-1/28+z)^2", "dm_basis": null, "q": "0 1 -32 -480 -4352 -721104 -62992896 -5185868288 -452386127872 -41357676687720", "yuk": "1 20 3488 356096 39026464 4439059520 513809807360 59989123227648 7050880896224032 833041892461987424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/32-5/32*5^(1/2)","im":"0","approx_re":"-0.693136","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","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":"-11/32+5/32*5^(1/2)","im":"0","approx_re":"0.005636","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/28","im":"0","approx_re":"0.0357142857143","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[81*X^4, -17937*X^4-28962*X^3-21933*X^2-7452*X-972, 559552*X^4+805888*X^3+391648*X^2+89280*X+9504, -6046720*X^4-8902656*X^3-7399680*X^2-3186432*X-539136, 32768*(2*X+1)*(340*X^3+618*X^2+455*X+129), -4194304*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.75\" from ...", "degz": 5, "h3": "18", "sol": "1 12 708 63840 6989220 855982512 112786041984 15645580194816 2254801269803940 334669706566543920", "n_discr_factors": "3", "c3": "-92", "operator": "4 5 0 0 0 0 81 -972 -7452 -21933 -28962 -17937 9504 89280 391648 805888 559552 -539136 -3186432 -7399680 -8902656 -6046720 4227072 23363584 50069504 51642368 22282240 -12582912 -58720256 -96468992 -67108864 -16777216", "new_number": "5.75", "id": 288, "operator_tex": "3^{4} \\theta^4-3^{2} x\\left(1993\\theta^4+3218\\theta^3+2437\\theta^2+828\\theta+108\\right)+2^{5} x^{2}\\left(17486\\theta^4+25184\\theta^3+12239\\theta^2+2790\\theta+297\\right)-2^{8} x^{3}\\left(23620\\theta^4+34776\\theta^3+28905\\theta^2+12447\\theta+2106\\right)+2^{15} x^{4}(2\\theta+1)(340\\theta^3+618\\theta^2+455\\theta+129)-2^{22} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "205/9 97622/9", "discriminant": "5 81 -17937 559552 -6046720 22282240 -16777216", "aesz": "298", "n_sing_complex": "0", "inst_int": "", "c2h": "12", "hash": "e52d50673ec5c795512e2bc3e1017b12", "dim_h": "4", "inst": " 205/9 3206/9 97622/9 496806 254037095/9 16476340418/9 1172722066057/9 9930597861190 7176881517850505/9 200193418895368288/3", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(1024z^2-192z+1)(-9+128z)^2", "discr_factors": "-16777216, (-9/128+z)^2, z^2-3/16*z+1/1024, z-1", "dm_basis": null, "q": "0 1 -44 350 -10696 -567579 -43127416 -3457085002 -294469950256 -26124408525758", "yuk": "1 205/9 25853/9 2635999/9 286186109/9 31754637080/9 3558892191935/9 402243668657756/9 45760195230549629/9 5231946626515654144/9", "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":"3/32-1/16*2^(1/2)","im":"0","approx_re":"0.005362","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/128","im":"0","approx_re":"0.0703125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/16*2^(1/2)","im":"0","approx_re":"0.182138","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -11913*X^4-17490*X^3-13827*X^2-5082*X-726, 188032*X^4+183616*X^3-13004*X^2-68376*X-19404, -1508928*X^4-4169088*X^3-7697424*X^2-5862384*X-1454112, 4608*(2*X+1)*(1252*X^3+5442*X^2+6767*X+2625), -11943936*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.77\" from ...", "degz": 5, "h3": "33", "sol": "1 6 162 6540 314370 16821756 966410676 58383231192 3661694291970 236408314316460", "n_discr_factors": "3", "c3": "-108", "operator": "4 5 0 0 0 0 121 -726 -5082 -13827 -17490 -11913 -19404 -68376 -13004 183616 188032 -1454112 -5862384 -7697424 -4169088 -1508928 12096000 55374336 87441408 55922688 11538432 -35831808 -167215104 -274710528 -191102976 -47775744", "new_number": "5.77", "id": 290, "operator_tex": "11^{2} \\theta^4-3 11 x\\left(361\\theta^4+530\\theta^3+419\\theta^2+154\\theta+22\\right)+2^{2} x^{2}\\left(47008\\theta^4+45904\\theta^3-3251\\theta^2-17094\\theta-4851\\right)-2^{4} 3 x^{3}\\left(31436\\theta^4+86856\\theta^3+160363\\theta^2+122133\\theta+30294\\right)+2^{9} 3^{2} x^{4}(2\\theta+1)(1252\\theta^3+5442\\theta^2+6767\\theta+2625)-2^{14} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "69/11 8883/11", "discriminant": "5 121 -11913 188032 -1508928 11538432 -47775744", "aesz": "307", "n_sing_complex": "2", "inst_int": "", "c2h": "78", "hash": "3a2dcd4c59d8fa5b7c57250efeecba62", "dim_h": "12", "inst": " 69/11 620/11 8883/11 171916/11 4334406/11 11275740 3882344490/11 130168148228/11 4597374907287/11 169191991110988/11", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(64z^2+1)(-11+96z)^2", "discr_factors": "-47775744, z^2+1/64, z-1/81, (-11/96+z)^2", "dm_basis": null, "q": "0 1 -18 15 -744 -14937 -806238 -26117077 -969966144 -37931377338", "yuk": "1 69/11 5029/11 21810 11007653/11 541800819/11 26791403110/11 1331644160139/11 66646102900389/11 3351486307652133/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"-1/8","approx_re":"0.0","approx_im":"-0.125","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":"0","im":"1/8","approx_re":"0.0","approx_im":"0.125","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/96","im":"0","approx_re":"0.114583333333","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[841*X^4, -76444*X^4-135488*X^3-104748*X^2-37004*X-5046, -363984*X^4-2977536*X^3-5070104*X^2-3166336*X-673380, 3417200*X^4+7725600*X^3-4670100*X^2-11040300*X-3654000, 10000*(2*X+1)*(68*X^3+1842*X^2+2899*X+1215), -5000000*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.78\" from ...", "degz": 5, "h3": "29", "sol": "1 6 210 9780 551250 34587756 2330225436 165091881240 12143185630290 919460248406700", "n_discr_factors": "2", "c3": "-104", "operator": "4 5 0 0 0 0 841 -5046 -37004 -104748 -135488 -76444 -673380 -3166336 -5070104 -2977536 -363984 -3654000 -11040300 -4670100 7725600 3417200 12150000 53290000 76400000 37520000 1360000 -15000000 -70000000 -115000000 -80000000 -20000000", "new_number": "5.78", "id": 291, "operator_tex": "29^{2} \\theta^4-2 29 x\\left(1318\\theta^4+2336\\theta^3+1806\\theta^2+638\\theta+87\\right)-2^{2} x^{2}\\left(90996\\theta^4+744384\\theta^3+1267526\\theta^2+791584\\theta+168345\\right)+2^{2} 5^{2} x^{3}\\left(34172\\theta^4+77256\\theta^3-46701\\theta^2-110403\\theta-36540\\right)+2^{4} 5^{4} x^{4}(2\\theta+1)(68\\theta^3+1842\\theta^2+2899\\theta+1215)-2^{6} 5^{7} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "248/29 38708/29", "discriminant": "5 841 -76444 -363984 3417200 1360000 -20000000", "aesz": "308", "n_sing_complex": "3", "inst_int": "", "c2h": "74", "hash": "94e96c5d238b2d22a633f4e05ec1ae9f", "dim_h": "11", "inst": " 248/29 2476/29 38708/29 940480/29 27926248/29 947385848/29 35235085432/29 1402989415192/29 58850157860196/29 2572297729204788/29", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2000z^3+1024z^2+84z-1)(-29+100z)^2", "discr_factors": "-20000000, (-29/100+z)^2, z^3+64/125*z^2+21/500*z-1/2000", "dm_basis": null, "q": "0 1 -20 -56 564 -52084 -1877024 -73710174 -3304023696 -153370033730", "yuk": "1 248/29 20056/29 1045364/29 60210776/29 3490781248/29 204636408340/29 12085634303424/29 718330640789080/29 42901765081128248/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3000*(-3837466+471750*I*111^(1/2))^(1/3)-8509/750/(-3837466+471750*I*111^(1/2))^(1/3)-64/375+1/4*I*3^(1/2)*(1/750*(-3837466+471750*I*111^(1/2))^(1/3)-17018/375/(-3837466+471750*I*111^(1/2))^(1/3))","im":"0","approx_re":"-0.40534","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3000*(-3837466+471750*I*111^(1/2))^(1/3)-8509/750/(-3837466+471750*I*111^(1/2))^(1/3)-64/375-1/4*I*3^(1/2)*(1/750*(-3837466+471750*I*111^(1/2))^(1/3)-17018/375/(-3837466+471750*I*111^(1/2))^(1/3))","im":"0","approx_re":"-0.117186","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":"1/1500*(-3837466+471750*I*111^(1/2))^(1/3)+8509/375/(-3837466+471750*I*111^(1/2))^(1/3)-64/375","im":"0","approx_re":"0.010526","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"29/100","im":"0","approx_re":"0.29","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -4251*X^4-13494*X^3-11141*X^2-4394*X-676, -205568*X^4-672128*X^3-833312*X^2-456768*X-91312, -249856*X^4+3833856*X^3+12986368*X^2+11821056*X+3168256, 65536*(2*X+1)*(76*X^3+426*X^2+570*X+227), 8388608*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.80\" from ...", "degz": 5, "h3": "52", "sol": "1 4 84 1840 56980 1827504 65127216 2403800256 92748607380 3672378870160", "n_discr_factors": "2", "c3": "-144", "operator": "4 5 0 0 0 0 169 -676 -4394 -11141 -13494 -4251 -91312 -456768 -833312 -672128 -205568 3168256 11821056 12986368 3833856 -249856 14876672 67108864 102629376 60817408 9961472 25165824 117440512 192937984 134217728 33554432", "new_number": "5.80", "id": 294, "operator_tex": "13^{2} \\theta^4-13 x\\left(327\\theta^4+1038\\theta^3+857\\theta^2+338\\theta+52\\right)-2^{4} x^{2}\\left(12848\\theta^4+42008\\theta^3+52082\\theta^2+28548\\theta+5707\\right)-2^{11} x^{3}\\left(122\\theta^4-1872\\theta^3-6341\\theta^2-5772\\theta-1547\\right)+2^{16} x^{4}(2\\theta+1)(76\\theta^3+426\\theta^2+570\\theta+227)+2^{23} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "25/13 875/13", "discriminant": "5 169 -4251 -205568 -249856 9961472 33554432", "aesz": "311", "n_sing_complex": "3", "inst_int": "", "c2h": "100", "hash": "8219f3f4bd56f6c2b2cc3ab9093b65d1", "dim_h": "17", "inst": " 25/13 1359/52 875/13 36572/13 256800/13 34500709/52 104613534/13 3142545372/13 51341929900/13 1458903910460/13", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(8192z^3-896z^2-35z+1)(13+64z)^2", "discr_factors": "33554432, (13/64+z)^2, z^3-7/64*z^2-35/8192*z+1/8192", "dm_basis": null, "q": "0 1 -10 -61 1328 -19755 61538 -2237427 -17950176 -1074578897", "yuk": "1 25/13 211 23650/13 2343351/13 32100025/13 1863064654/13 35882442187/13 1608985573815/13 37428266920750/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/64","im":"0","approx_re":"-0.203125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768*(3698+474*I*237^(1/2))^(1/3)-203/384/(3698+474*I*237^(1/2))^(1/3)+7/192+1/2*I*3^(1/2)*(1/384*(3698+474*I*237^(1/2))^(1/3)-203/192/(3698+474*I*237^(1/2))^(1/3))","im":"0","approx_re":"-0.045147","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":"-1/768*(3698+474*I*237^(1/2))^(1/3)-203/384/(3698+474*I*237^(1/2))^(1/3)+7/192-1/2*I*3^(1/2)*(1/384*(3698+474*I*237^(1/2))^(1/3)-203/192/(3698+474*I*237^(1/2))^(1/3))","im":"0","approx_re":"0.020117","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/384*(3698+474*I*237^(1/2))^(1/3)+203/192/(3698+474*I*237^(1/2))^(1/3)+7/192","im":"0","approx_re":"0.134405","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -(X+1)*(285*X^3+321*X^2+128*X+18), -3280*X^4-2644*X^3+2674*X^2+2356*X+480, -7668*X^4+9216*X^3+10296*X^2+2880*X+180, 216*(2*X+1)*(22*X^3+37*X^2+24*X+6), 432*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.82\" from ...", "degz": 5, "h3": "14", "sol": "1 18 1662 236340 40943070 7945789068 1660174030284 365333722192296 83543805631567710 19678956052342595580", "n_discr_factors": "3", "c3": "-96", "operator": "4 5 0 0 0 0 1 -18 -146 -449 -606 -285 480 2356 2674 -2644 -3280 180 2880 10296 9216 -7668 1296 7776 18360 20736 9504 1296 6048 9936 6912 1728", "new_number": "5.82", "id": 296, "operator_tex": "\\theta^4-x(\\theta+1)(285\\theta^3+321\\theta^2+128\\theta+18)-2 x^{2}\\left(1640\\theta^4+1322\\theta^3-1337\\theta^2-1178\\theta-240\\right)-2^{2} 3^{2} x^{3}\\left(213\\theta^4-256\\theta^3-286\\theta^2-80\\theta-5\\right)+2^{3} 3^{3} x^{4}(2\\theta+1)(22\\theta^3+37\\theta^2+24\\theta+6)+2^{4} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "45 43531", "discriminant": "5 1 -285 -3280 -7668 9504 1728", "aesz": "313", "n_sing_complex": "0", "inst_int": "", "c2h": "56", "hash": "f8bfe82988e14680bdb775a3ce956216", "dim_h": "7", "inst": " 45 845 43531 3091112 273471538 27632280740 3065139414900 364034045136592 45554291158936325 5940634529870887198", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(z-1)(48z^2+296z-1)(6z+1)^2", "discr_factors": "1728, (z+1/6)^2, z^2+37/6*z-1/48, z-1", "dm_basis": null, "q": "0 1 -74 1559 -67652 -2528789 -386350534 -46810486807 -6250760414504 -864098531880686", "yuk": "1 45 6805 1175382 197837973 34183942295 5968573821982 1051342819310745 186385431307773077 33209078254865756307", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-37/12-7/6*7^(1/2)","im":"0","approx_re":"-6.170043","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","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":"-37/12+7/6*7^(1/2)","im":"0","approx_re":"0.003377","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -53273*X^4-98098*X^3-71555*X^2-22506*X-2662, 1248736*X^4+1373824*X^3-93484*X^2-295768*X-59532, -8191552*X^4-4101504*X^3-2319504*X^2-1258224*X-250272, 2048*(2*X+1)*(1964*X^3+3078*X^2+1853*X+419), -262144*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.86\" from ...", "degz": 5, "h3": "33", "sol": "1 22 2850 568300 138119170 37615727772 11031077174964 3407461875743640 1093860581057179650 361723380553923894220", "n_discr_factors": "3", "c3": "-276", "operator": "4 5 0 0 0 0 121 -2662 -22506 -71555 -98098 -53273 -59532 -295768 -93484 1373824 1248736 -250272 -1258224 -2319504 -4101504 -8191552 858112 5511168 13893632 16629760 8044544 -786432 -3670016 -6029312 -4194304 -1048576", "new_number": "5.86", "id": 300, "operator_tex": "11^{2} \\theta^4-11 x\\left(4843\\theta^4+8918\\theta^3+6505\\theta^2+2046\\theta+242\\right)+2^{2} x^{2}\\left(312184\\theta^4+343456\\theta^3-23371\\theta^2-73942\\theta-14883\\right)-2^{4} x^{3}\\left(511972\\theta^4+256344\\theta^3+144969\\theta^2+78639\\theta+15642\\right)+2^{11} x^{4}(2\\theta+1)(1964\\theta^3+3078\\theta^2+1853\\theta+419)-2^{18} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "741/11 138745", "discriminant": "5 121 -53273 1248736 -8191552 8044544 -1048576", "aesz": "320\n", "n_sing_complex": "0", "inst_int": "", "c2h": "6", "hash": "d19e7569ce62abdd5393977835e411a9", "dim_h": "6", "inst": " 741/11 22232/11 138745 157326644/11 19999995398/11 2909079079700/11 42234678016062 7222906721199284 14317861835506930871/11 2688992762246137303028/11", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(64z^2-416z+1)(-11+128z)^2", "discr_factors": "-1048576, z^2-13/2*z+1/64, z-1, (-11/128+z)^2", "dm_basis": null, "q": "0 1 -98 1903 -131400 -14622585 -2450519310 -444459362517 -84911071039168 -16907623125532026", "yuk": "1 741/11 178597/11 41208006/11 10069083813/11 2499999425491/11 628361122601062/11 159351440154602667/11 40679410663863451301/11 10437721278084593812965/11", "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":"13/4-15/8*3^(1/2)","im":"0","approx_re":"0.002405","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/128","im":"0","approx_re":"0.0859375","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4+15/8*3^(1/2)","im":"0","approx_re":"6.497595","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[81*X^4, -1719*X^4-7758*X^3-6147*X^2-2268*X-324, -231200*X^4-794720*X^3-980288*X^2-517536*X-98208, -3392256*X^4-9179136*X^3-7076096*X^2-1783296*X-46080, -20480*(2*X+1)*(314*X^3+363*X^2+68*X-31), 1638400*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.87\" from ...", "degz": 5, "h3": "36", "sol": "1 4 132 4000 179620 8127504 412976256 21605895168 1184481569700 66548256071440", "n_discr_factors": "3", "c3": "-128", "operator": "4 5 0 0 0 0 81 -324 -2268 -6147 -7758 -1719 -98208 -517536 -980288 -794720 -231200 -46080 -1783296 -7076096 -9179136 -3392256 634880 -122880 -10219520 -21299200 -12861440 4915200 22937600 37683200 26214400 6553600", "new_number": "5.87", "id": 301, "operator_tex": "3^{4} \\theta^4-3^{2} x\\left(191\\theta^4+862\\theta^3+683\\theta^2+252\\theta+36\\right)-2^{5} x^{2}\\left(7225\\theta^4+24835\\theta^3+30634\\theta^2+16173\\theta+3069\\right)-2^{8} x^{3}\\left(13251\\theta^4+35856\\theta^3+27641\\theta^2+6966\\theta+180\\right)-2^{12} 5 x^{4}(2\\theta+1)(314\\theta^3+363\\theta^2+68\\theta-31)+2^{16} 5^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "35/9 3002/9", "discriminant": "5 81 -1719 -231200 -3392256 -12861440 6553600", "aesz": "321", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "b786027c217dd5d5c5abac7b1ecc570b", "dim_h": "13", "inst": " 35/9 261/4 3002/9 126800/9 1727129/9 14907123/2 1476084167/9 55207321888/9 1554991360055/9 232053578385767/36", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(32z+1)(32z^2-71z+1)(9+80z)^2", "discr_factors": "6553600, z+1/32, z^2-71/32*z+1/32, (9/80+z)^2", "dm_basis": null, "q": "0 1 -12 -178 2664 -47355 -234392 -22549626 -420799504 -24839805918", "yuk": "1 35/9 4733/9 81089/9 8119933/9 71963720/3 14489809343/9 506296869316/9 9422052308863/3 1133588701561184/9", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-9/80","im":"0","approx_re":"-0.1125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","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":"71/64-17/64*17^(1/2)","im":"0","approx_re":"0.014175","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"71/64+17/64*17^(1/2)","im":"0","approx_re":"2.204575","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -128*X^4-544*X^3-400*X^2-128*X-16, -22272*X^4-38400*X^3-8192*X^2+512*X+256, -827392*X^4-983040*X^3-864256*X^2-417792*X-77824, -196608*(2*X+1)*(22*X^3+45*X^2+38*X+12), -9437184*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.89\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1200 136960 19010320 2955407616 494633669376 87189633822720 15971078116216080 3013478085823279360", "n_discr_factors": "2", "c3": "-44", "operator": "4 5 0 0 0 0 1 -16 -128 -400 -544 -128 256 512 -8192 -38400 -22272 -77824 -417792 -864256 -983040 -827392 -2359296 -12189696 -23789568 -22020096 -8650752 -28311552 -132120576 -217055232 -150994944 -37748736", "new_number": "5.89", "id": 303, "operator_tex": "\\theta^4-2^{4} x\\left(8\\theta^4+34\\theta^3+25\\theta^2+8\\theta+1\\right)-2^{8} x^{2}\\left(87\\theta^4+150\\theta^3+32\\theta^2-2\\theta-1\\right)-2^{12} x^{3}\\left(202\\theta^4+240\\theta^3+211\\theta^2+102\\theta+19\\right)-2^{16} 3 x^{4}(2\\theta+1)(22\\theta^3+45\\theta^2+38\\theta+12)-2^{20} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "48 25200", "discriminant": "5 1 -128 -22272 -827392 -8650752 -37748736", "aesz": "329", "n_sing_complex": "2", "inst_int": "", "c2h": "52", "hash": "8c526b3b825d5ad6a3d0fb83ee4e6059", "dim_h": "7", "inst": " 48 270 25200 968066 80892688 5836971062 522155519152 47398217590425 4636171366134912 468150494473792826", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16384z^3+3072z^2+224z-1)(1+48z)^2", "discr_factors": "-37748736, (1/48+z)^2, z^3+3/16*z^2+7/512*z-1/16384", "dm_basis": null, "q": "0 1 -64 1664 -68608 820656 -171802624 -6555458560 -1123846586368 -100669089912680", "yuk": "1 48 2208 680448 61958432 10111586048 1260786432000 179099343069184 24267887468256032 3379768925913031296", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192*(189+33*33^(1/2))^(1/3)+1/32/(189+33*33^(1/2))^(1/3)-1/16","im":"-1/32*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.095858","approx_im":"-0.072741","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(189+33*33^(1/2))^(1/3)+1/32/(189+33*33^(1/2))^(1/3)-1/16","im":"1/32*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.095858","approx_im":"0.072741","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48","im":"0","approx_re":"-0.0208333333333","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":"1/96*(189+33*33^(1/2))^(1/3)-1/16/(189+33*33^(1/2))^(1/3)-1/16","im":"0","approx_re":"0.004215","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 1792*X^4-1024*X^3-512*X^2+16, 917504*X^4-1048576*X^3+49152*X^2-163840*X-65536, 33554432*X^4-402653184*X^3-457179136*X^2-276824064*X-57671680, -1610612736*(2*X+1)*(10*X+7)*(2*X^2+4*X+3), -2473901162496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as double octic D.O.20\n", "degz": 5, "h3": "16", "sol": "1 -16 4368 -344320 107445520 -12148367616 3860075847936 -516712812515328 164039018022182160 -24277289247356104960", "n_discr_factors": "3", "c3": "320", "operator": "4 5 0 0 0 0 1 16 0 -512 -1024 1792 -65536 -163840 49152 -1048576 917504 -57671680 -276824064 -457179136 -402653184 33554432 -33822867456 -161061273600 -273804165120 -206158430208 -64424509440 -7421703487488 -34634616274944 -56899726737408 -39582418599936 -9895604649984", "new_number": "5.90", "id": 305, "operator_tex": "\\theta^4+2^{4} x\\left(112\\theta^4-64\\theta^3-32\\theta^2+1\\right)+2^{14} x^{2}\\left(56\\theta^4-64\\theta^3+3\\theta^2-10\\theta-4\\right)+2^{20} x^{3}\\left(32\\theta^4-384\\theta^3-436\\theta^2-264\\theta-55\\right)-2^{29} 3 x^{4}(2\\theta+1)(10\\theta+7)(2\\theta^2+4\\theta+3)-2^{38} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "352 3284448", "discriminant": "5 1 1792 917504 33554432 -64424509440 -9895604649984", "aesz": "330", "n_sing_complex": "0", "inst_int": "", "c2h": "16", "hash": "ba5b66d5fe92237e6416a117563571e9", "dim_h": "4", "inst": " 352 -23368 3284448 -578330224 120252731680 -27415759432616 6701726151914080 -1720803298688523376 459238567520109337856 -126317379213699482253720", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+256z)(256z+1)^2(768z+1)^2", "discr_factors": "-9895604649984, (z+1/256)^2, (z+1/768)^2, -1/256+z", "dm_basis": null, "q": "0 1 -64 1632 -436224 141710896 -43304871936 12756718699008 -3828584306835456 1163560985061276312", "yuk": "1 352 -186592 88680448 -37013320928 15031591460352 -5921803948951552 2298692070106529792 -881051288965537289440 334784915722159795977472", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768","im":"0","approx_re":"-0.00130208333333","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":"1/256","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 288*X^4-768*X^3-528*X^2-144*X-16, -44032*X^4-262144*X^3-64000*X^2-23040*X-5120, -18644992*X^4-33423360*X^3-30851072*X^2-14401536*X-2572288, -3670016*(2*X+1)*(186*X^3+375*X^2+317*X+100), -6576668672*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.91\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1488 183040 27611920 4644009216 840155264256 159984411045888 31647762945461520 6447385477360072960", "n_discr_factors": "4", "c3": "68", "operator": "4 5 0 0 0 0 1 -16 -144 -528 -768 288 -5120 -23040 -64000 -262144 -44032 -2572288 -14401536 -30851072 -33423360 -18644992 -367001600 -1897398272 -3703046144 -3435134976 -1365245952 -19730006016 -92073361408 -151263379456 -105226698752 -26306674688", "new_number": "5.91", "id": 306, "operator_tex": "\\theta^4+2^{4} x\\left(18\\theta^4-48\\theta^3-33\\theta^2-9\\theta-1\\right)-2^{9} x^{2}\\left(86\\theta^4+512\\theta^3+125\\theta^2+45\\theta+10\\right)-2^{14} x^{3}\\left(1138\\theta^4+2040\\theta^3+1883\\theta^2+879\\theta+157\\right)-2^{19} 7 x^{4}(2\\theta+1)(186\\theta^3+375\\theta^2+317\\theta+100)-2^{27} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "112 186800", "discriminant": "5 1 288 -44032 -18644992 -1365245952 -26306674688", "aesz": "331", "n_sing_complex": "0", "inst_int": "", "c2h": "40", "hash": "a30093d8c1ab2f66122cef8935b79efb", "dim_h": "6", "inst": " 112 -2242 186800 -11675813 1250599376 -109453519578 12996262564592 -1335165142501083 167689997418831488 -18917764674198834614", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32z+1)(256z-1)(64z+1)(1+224z)^2", "discr_factors": "-26306674688, z-1/256, (1/224+z)^2, z+1/64, z+1/32", "dm_basis": null, "q": "0 1 -80 4224 -353280 32901040 -3889583616 442866134016 -57164706250752 7080975365853336", "yuk": "1 112 -17824 5043712 -747269856 156324922112 -23641955203072 4457718059655168 -683604553707824352 122246008118333198464", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/224","im":"0","approx_re":"-0.00446428571429","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":"1/256","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, X^2*(71*X^2-2*X-1), 3696*X^4+8016*X^3+11064*X^2+5952*X+1152, 576*(5*X+3)*(31*X^3+39*X^2-25*X-21), 41472*(2*X+1)*(2*X^3-33*X^2-56*X-24), -2985984*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.93\" from ...", "degz": 5, "h3": "144", "sol": "1 0 -72 1440 22680 -1814400 17186400 1816214400 -68448580200 -837073036800", "n_discr_factors": "3", "c3": "-400", "operator": "4 5 0 0 0 0 1 0 0 -1 -2 71 1152 5952 11064 8016 3696 -36288 -103680 -4608 165888 89280 -995328 -4313088 -6013440 -2654208 165888 -8957952 -41803776 -68677632 -47775744 -11943936", "new_number": "5.93", "id": 308, "operator_tex": "\\theta^4+x\\theta^2(71\\theta^2-2\\theta-1)+2^{3} 3 x^{2}\\left(154\\theta^4+334\\theta^3+461\\theta^2+248\\theta+48\\right)+2^{6} 3^{2} x^{3}(5\\theta+3)(31\\theta^3+39\\theta^2-25\\theta-21)+2^{9} 3^{4} x^{4}(2\\theta+1)(2\\theta^3-33\\theta^2-56\\theta-24)-2^{12} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "1 2668/3", "discriminant": "5 1 71 3696 89280 165888 -11943936", "aesz": "333", "n_sing_complex": "2", "inst_int": "", "c2h": "192", "hash": "dc274781605ee4262d8745e3fa3a8057", "dim_h": "40", "inst": " 1 -66 2668/3 -2774 -167786 9867394/3 35718934 -2860043462 114038086499/3 1286730194502", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(9z-1)(2304z^2+32z+1)(1+24z)^2", "discr_factors": "-11943936, (1/24+z)^2, z-1/9, z^2+1/72*z+1/2304", "dm_basis": null, "q": "0 1 0 228 -4496 59634 -468000 1166736 -336121632 19409925015", "yuk": "1 1 -527 24013 -178063 -20973249 710475853 12251594363 -1464342430607 27711255043270", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"-1/72*2^(1/2)","approx_re":"-0.00694444444444","approx_im":"-0.019642","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"1/72*2^(1/2)","approx_re":"-0.00694444444444","approx_im":"0.019642","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":"1/9","im":"0","approx_re":"0.111111111111","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, 3336*X^4+5088*X^3+3732*X^2+1188*X+144, 166720*X^4+126208*X^3-84320*X^2-77856*X-15744, 2096640*X^4-903168*X^3-1021696*X^2-149760*X+29184, -22528*(2*X+1)*(86*X^3+57*X^2-39*X-32), 3964928*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.95\" from ...", "degz": 5, "h3": null, "sol": "1 -16 1608 -243520 44810920 -9230006016 2046125469696 -477645744795648 115857379593057960 -28945225356974143360", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 9 144 1188 3732 5088 3336 -15744 -77856 -84320 126208 166720 29184 -149760 -1021696 -903168 2096640 720896 2320384 473088 -4505600 -3874816 11894784 55508992 91193344 63438848 15859712", "new_number": "5.95", "id": 310, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(278\\theta^4+424\\theta^3+311\\theta^2+99\\theta+12\\right)+2^{5} x^{2}\\left(5210\\theta^4+3944\\theta^3-2635\\theta^2-2433\\theta-492\\right)+2^{8} x^{3}\\left(8190\\theta^4-3528\\theta^3-3991\\theta^2-585\\theta+114\\right)-2^{11} 11 x^{4}(2\\theta+1)(86\\theta^3+57\\theta^2-39\\theta-32)+2^{15} 11^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-140/3 -66092", "discriminant": "5 9 3336 166720 2096640 -3874816 15859712", "aesz": "338", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "eb4f6d6e59fafa4e794fb664dbdeab3f", "dim_h": null, "inst": " -140/3 1293 -66092 5236719 -1553321056/3 58548822335 -7268612562732 966434221368097 -135410895645089584 59321459418008740504/3", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(2048z^3-640z^2+312z+1)(3+88z)^2", "discr_factors": "15859712, (3/88+z)^2, z^3-5/16*z^2+39/256*z+1/2048", "dm_basis": null, "q": "0 1 68 190 37328 -5971987 758665656 -105860220238 15709081338944 -2429829970072890", "yuk": "1 -140/3 30892/3 -5353592/3 1005480940/3 -194165132140/3 37939631550520/3 -7479402327051368/3 1484442965026877932/3 -296143628775816273800/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/88","im":"0","approx_re":"-0.0340909090909","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/96*(6236+708*177^(1/2))^(1/3)+23/6/(6236+708*177^(1/2))^(1/3)+5/48","im":"0","approx_re":"-0.003184","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":"1/192*(6236+708*177^(1/2))^(1/3)-23/12/(6236+708*177^(1/2))^(1/3)+5/48","im":"1/16*3^(1/2)*(-1/12*(6236+708*177^(1/2))^(1/3)-92/3/(6236+708*177^(1/2))^(1/3))","approx_re":"0.157842","approx_im":"-0.358378","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(6236+708*177^(1/2))^(1/3)-23/12/(6236+708*177^(1/2))^(1/3)+5/48","im":"-1/16*3^(1/2)*(-1/12*(6236+708*177^(1/2))^(1/3)-92/3/(6236+708*177^(1/2))^(1/3))","approx_re":"0.157842","approx_im":"0.358378","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 100*X^4+128*X^3+104*X^2+40*X+6, 4560*X^4+11904*X^3+13992*X^2+7344*X+1404, 77040*X^4+209952*X^3+203436*X^2+84564*X+12960, 11664*(2*X+1)*(20*X^3+42*X^2+35*X+11), 139968*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.99\" from ...", "degz": 5, "h3": null, "sol": "1 -6 54 660 -69930 2796444 -65688084 -46424664 97284342870 -5705518249860", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 6 40 104 128 100 1404 7344 13992 11904 4560 12960 84564 203436 209952 77040 128304 664848 1306368 1213056 466560 419904 1959552 3219264 2239488 559872", "new_number": "5.99", "id": 314, "operator_tex": "\\theta^4+2 x\\left(50\\theta^4+64\\theta^3+52\\theta^2+20\\theta+3\\right)+2^{2} 3 x^{2}\\left(380\\theta^4+992\\theta^3+1166\\theta^2+612\\theta+117\\right)+2^{2} 3^{2} x^{3}\\left(2140\\theta^4+5832\\theta^3+5651\\theta^2+2349\\theta+360\\right)+2^{4} 3^{6} x^{4}(2\\theta+1)(20\\theta^3+42\\theta^2+35\\theta+11)+2^{6} 3^{7} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-4 3856/9", "discriminant": "5 1 100 4560 77040 466560 559872", "aesz": "342", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "009a00efdd065ef9ea58db999d777786", "dim_h": null, "inst": " -4 -16 3856/9 -3864 -20784 14475452/9 -28910712 -24553744 139629499360/9 -403760655128", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(3888z^3+2592z^2+76z+1)(1+12z)^2", "discr_factors": "559872, (1/12+z)^2, z^3+2/3*z^2+19/972*z+1/3888", "dm_basis": null, "q": "0 1 16 282 1588 21075 266784 -4432740 59940912 1797766461", "yuk": "1 -4 -132 11564 -247428 -2598004 347422284 -9916374220 -12571764356 11309989459724", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/108*10^(2/3)-5/54*10^(1/3)-2/9","im":"0","approx_re":"-0.636595","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"5/216*10^(2/3)+5/108*10^(1/3)-2/9","im":"1/4*3^(1/2)*(-5/54*10^(2/3)+5/27*10^(1/3))","approx_re":"-0.015036","approx_im":"-0.01334","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/216*10^(2/3)+5/108*10^(1/3)-2/9","im":"-1/4*3^(1/2)*(-5/54*10^(2/3)+5/27*10^(1/3))","approx_re":"-0.015036","approx_im":"0.01334","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -8-52*X-120*X^2-136*X^3+92*X^4, 3712+16576*X+18464*X^2+3456*X^3+5664*X^4, -45056+142336*X+1206272*X^2+983040*X^3+363520*X^4, 3375104+16023552*X+32669696*X^2+40239104*X^3+14778368*X^4, 87031808+429916160*X+803209216*X^2+754974720*X^3+298844160*X^4, 67108864*(2*X+1)*(20*X^3+50*X^2+49*X+17), 2147483648*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"7.11\" from ...", "degz": 7, "h3": null, "sol": "1 8 -120 -4480 55720 6487488 9993984 -11087831040 -202076348760 19021745737280", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 -8 -52 -120 -136 92 3712 16576 18464 3456 5664 -45056 142336 1206272 983040 363520 3375104 16023552 32669696 40239104 14778368 87031808 429916160 803209216 754974720 298844160 1140850688 5570035712 9932111872 8053063680 2684354560 6442450944 30064771072 49392123904 34359738368 8589934592", "new_number": "7.11", "id": 433, "operator_tex": "\\theta^4+2^{2} x\\left(23\\theta^4-34\\theta^3-30\\theta^2-13\\theta-2\\right)+2^{5} x^{2}\\left(177\\theta^4+108\\theta^3+577\\theta^2+518\\theta+116\\right)+2^{10} x^{3}\\left(355\\theta^4+960\\theta^3+1178\\theta^2+139\\theta-44\\right)+2^{15} x^{4}\\left(451\\theta^4+1228\\theta^3+997\\theta^2+489\\theta+103\\right)+2^{20} x^{5}\\left(285\\theta^4+720\\theta^3+766\\theta^2+410\\theta+83\\right)+2^{26} x^{6}(2\\theta+1)(20\\theta^3+50\\theta^2+49\\theta+17)+2^{31} x^{7}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-8 -3784/3", "discriminant": "7 1 92 5664 363520 14778368 298844160 2684354560 8589934592", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "cb1bf6566f9c1a0dbfe98fb55f81944c", "dim_h": null, "inst": " -8 43/2 -3784/3 51036 -1659840 122212649/2 -2809215000 282209084769/2 -7219805436704 381151635025340", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(8z+1)(32768z^3+3072z^2-12z+1)(32z+1)^3", "discr_factors": "8589934592, z+1/8, (z+1/32)^3, z^3+3/32*z^2-3/8192*z+1/32768", "dm_basis": null, "q": "0 1 -20 1110 -52720 2817917 -162846168 9874607290 -617177477312 39500894102166", "yuk": "1 -8 164 -34064 3266468 -207480008 13198932200 -963560745008 72245528967332 -5263238163391280", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/128*(4+2*2^(1/2))^(1/3)-3/64/(4+2*2^(1/2))^(1/3)-1/32","im":"0","approx_re":"-0.100423","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/256*(4+2*2^(1/2))^(1/3)+3/128/(4+2*2^(1/2))^(1/3)-1/32","im":"1/8*3^(1/2)*(-3/32*(4+2*2^(1/2))^(1/3)+3/16/(4+2*2^(1/2))^(1/3))","approx_re":"0.003336","approx_im":"-0.01711","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/256*(4+2*2^(1/2))^(1/3)+3/128/(4+2*2^(1/2))^(1/3)-1/32","im":"-1/8*3^(1/2)*(-3/32*(4+2*2^(1/2))^(1/3)+3/16/(4+2*2^(1/2))^(1/3))","approx_re":"0.003336","approx_im":"0.01711","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[16*X^4, -288-2400*X-7636*X^2-10472*X^3-5128*X^4, -26424-143496*X-285795*X^2-241290*X^3-85527*X^4, -784728-4313736*X-7404372*X^2-1481328*X^3+1265787*X^4, -8612406-34179894*X-29773818*X^2+29597400*X^3+22024548*X^4, -39234780-121404744*X+67263372*X^2+479110464*X^3-54377568*X^4, -102509064-240211332*X+66371076*X^2-85030560*X^3-1465359984*X^4, -17006112*(2*X+1)*(100*X^3+162*X^2+95*X+21), 1224440064*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"8.30\" from ...", "degz": 8, "h3": "36", "sol": "1 18 1926 310860 61060230 13432459068 3181130504244 793444983882408 205654006502505990 54906028842418516620", "n_discr_factors": "3", "c3": "-204", "operator": "4 8 0 0 0 0 16 -288 -2400 -7636 -10472 -5128 -26424 -143496 -285795 -241290 -85527 -784728 -4313736 -7404372 -1481328 1265787 -8612406 -34179894 -29773818 29597400 22024548 -39234780 -121404744 67263372 479110464 -54377568 -102509064 -240211332 66371076 -85030560 -1465359984 -357128352 -2329837344 -5986151424 -7210591488 -3401222400 3673320192 17142160896 28162121472 19591041024 4897760256", "new_number": "8.30", "id": 475, "operator_tex": "2^{4} \\theta^4-2^{2} x\\left(1282\\theta^4+2618\\theta^3+1909\\theta^2+600\\theta+72\\right)-3^{2} x^{2}\\left(9503\\theta^4+26810\\theta^3+31755\\theta^2+15944\\theta+2936\\right)+3^{4} x^{3}\\left(15627\\theta^4-18288\\theta^3-91412\\theta^2-53256\\theta-9688\\right)+2 3^{6} x^{4}\\left(15106\\theta^4+20300\\theta^3-20421\\theta^2-23443\\theta-5907\\right)-2^{2} 3^{8} x^{5}\\left(2072\\theta^4-18256\\theta^3-2563\\theta^2+4626\\theta+1495\\right)-2^{2} 3^{10} x^{6}\\left(6204\\theta^4+360\\theta^3-281\\theta^2+1017\\theta+434\\right)-2^{5} 3^{12} x^{7}(2\\theta+1)(100\\theta^3+162\\theta^2+95\\theta+21)+2^{8} 3^{14} x^{8}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "229/4 297111/4", "discriminant": "8 16 -5128 -85527 1265787 22024548 -54377568 -1465359984 -3401222400 4897760256", "aesz": "314", "n_sing_complex": "2", "inst_int": "", "c2h": "0", "hash": "893692ba7eb3effcbc0c3b48d405456a", "dim_h": "6", "inst": " 229/4 1293 297111/4 6150238 2540085295/4 74831355661 9685903435429 1342462084703074 392130689138916953/2 29842706359594087140", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "(z-1)(11664z^3+3888z^2+324z-1)(-4-9z+648z^2)^2", "discr_factors": "4897760256, z-1, (-1/162-1/72*z+z^2)^2, z^3+1/3*z^2+1/36*z-1/11664", "dm_basis": null, "q": "0 1 -78 1029 -60368 -6625650 -865943982 -127452930702 -19739639668632 -3184583094643149", "yuk": "1 229/4 41605/4 4011113/2 1574502533/4 79377665526 32327149677353/2 13289059513408817/4 2749362351046398085/4 142931636191137234925", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/36*2^(1/3)-1/72*2^(2/3)-1/9","im":"-1/36*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.168156","approx_im":"-0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36*2^(1/3)-1/72*2^(2/3)-1/9","im":"1/36*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.168156","approx_im":"0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144-1/144*129^(1/2)","im":"0","approx_re":"-0.071929","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":"1/18*2^(1/3)+1/36*2^(2/3)-1/9","im":"0","approx_re":"0.002979","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144+1/144*129^(1/2)","im":"0","approx_re":"0.085818","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -2028-15886*X-47931*X^2-64090*X^3-68237*X^4, 8428848*X^4+9027072*X^3+4331664*X^2+932256*X+74256, -427125120*X^4-483459072*X^3-304285312*X^2-95506944*X-12055680, 8797894656*X^4+12157919232*X^3+7559117824*X^2+2183858176*X+241950720, -63167811584*X^4-75064696832*X^3-28806516736*X^2-3414458368*X+11132928, 197529108480*X^4+363095654400*X^3+511946588160*X^2+348497510400*X+81711857664, -297271296*(X+1)*(2*X+1)*(646*X^2+1715*X+1044), 149824733184*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"8.48\" from ...", "degz": 8, "h3": null, "sol": "1 12 852 94800 12860820 1952938512 319085101104 54888964663104 9809637738743700 1805590407439481520", "n_discr_factors": "2", "c3": null, "operator": "4 8 0 0 0 0 169 -2028 -15886 -47931 -64090 -68237 74256 932256 4331664 9027072 8428848 -12055680 -95506944 -304285312 -483459072 -427125120 241950720 2183858176 7559117824 12157919232 8797894656 11132928 -3414458368 -28806516736 -75064696832 -63167811584 81711857664 348497510400 511946588160 363095654400 197529108480 -310351233024 -1440873971712 -2342200541184 -1595752316928 -384074514432 449474199552 2097546264576 3445968863232 2397195730944 599298932736", "new_number": "8.48", "id": 494, "operator_tex": "13^{2} \\theta^4-13 x\\left(5249\\theta^4+4930\\theta^3+3687\\theta^2+1222\\theta+156\\right)+2^{4} 3 x^{2}\\left(175601\\theta^4+188064\\theta^3+90243\\theta^2+19422\\theta+1547\\right)-2^{7} x^{3}\\left(3336915\\theta^4+3777024\\theta^3+2377229\\theta^2+746148\\theta+94185\\right)+2^{10} x^{4}\\left(8591694\\theta^4+11872968\\theta^3+7381951\\theta^2+2132674\\theta+236280\\right)-2^{12} x^{5}\\left(15421829\\theta^4+18326342\\theta^3+7032841\\theta^2+833608\\theta-2718\\right)+2^{16} 3^{2} x^{6}\\left(334895\\theta^4+615600\\theta^3+867965\\theta^2+590850\\theta+138536\\right)-2^{19} 3^{4} 7 x^{7}(\\theta+1)(2\\theta+1)(646\\theta^2+1715\\theta+1044)+2^{22} 3^{6} 7^{2} x^{8}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "359/13 393749/13", "discriminant": "8 169 -68237 8428848 -427125120 8797894656 -63167811584 197529108480 -384074514432 599298932736", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "de7301c14448dbf584c01cc3722d0e58", "dim_h": null, "inst": " 359/13 9162/13 393749/13 23364200/13 1734245216/13 11451266260 14071806017122/13 1425129757584576/13 11700454830043684 16920857571015804084/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "7", "laurent": null, "discriminant_tex": "(1-261z+6896z^2-6656z^3+36864z^4)(13-928z+4032z^2)^2", "discr_factors": "599298932736, (13/4032-29/126*z+z^2)^2, 1/36864-29/4096*z+431/2304*z^2-13/72*z^3+z^4", "dm_basis": null, "q": "0 1 -46 -157 -25568 -2139339 -212325770 -22783984499 -2572827342240 -302553146919569", "yuk": "1 359/13 73655/13 817814 1495382455/13 216780652359/13 32155166362958/13 4826629463873205/13 729666437378685367/13 8529631571102663450", "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":"29/252-1/504*2545^(1/2)","im":"0","approx_re":"0.014984","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"29/252+1/504*2545^(1/2)","im":"0","approx_re":"0.215175","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -348*X^4-2136*X^3-1608*X^2-540*X-72, -71456*X^4-81152*X^3-19424*X^2-4224*X-384, -1304576*X^4-7603200*X^3-20482048*X^2-13022208*X-2734080, 20799488*X^4-299319296*X^3-432332800*X^2-254951424*X-50724864, 1695547392*X^4+10245636096*X^3+4701814784*X^2-706740224*X-583008256, 38084280320*X^4+143344533504*X^3+115393691648*X^2+28789702656*X+536870912, -6442450944*(2*X+1)*(110*X^3+225*X^2+184*X+57), 1236950581248*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"8.49\" from ...", "degz": 8, "h3": null, "sol": "1 8 264 16640 1130920 85756608 7041264384 606620332032 54248100552360 4995253852297280", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 9 -72 -540 -1608 -2136 -348 -384 -4224 -19424 -81152 -71456 -2734080 -13022208 -20482048 -7603200 -1304576 -50724864 -254951424 -432332800 -299319296 20799488 -583008256 -706740224 4701814784 10245636096 1695547392 536870912 28789702656 115393691648 143344533504 38084280320 -367219703808 -1919850381312 -3820373409792 -3607772528640 -1417339207680 3710851743744 17317308137472 28449863368704 19791209299968 4947802324992", "new_number": "8.49", "id": 495, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(29\\theta^4+178\\theta^3+134\\theta^2+45\\theta+6\\right)-2^{5} x^{2}\\left(2233\\theta^4+2536\\theta^3+607\\theta^2+132\\theta+12\\right)-2^{10} x^{3}\\left(1274\\theta^4+7425\\theta^3+20002\\theta^2+12717\\theta+2670\\right)+2^{13} x^{4}\\left(2539\\theta^4-36538\\theta^3-52775\\theta^2-31122\\theta-6192\\right)+2^{20} x^{5}\\left(1617\\theta^4+9771\\theta^3+4484\\theta^2-674\\theta-556\\right)+2^{25} x^{6}\\left(1135\\theta^4+4272\\theta^3+3439\\theta^2+858\\theta+16\\right)-2^{31} 3 x^{7}(2\\theta+1)(110\\theta^3+225\\theta^2+184\\theta+57)+2^{37} 3^{2} x^{8}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "56/3 17704/3", "discriminant": "8 9 -348 -71456 -1304576 20799488 1695547392 38084280320 -1417339207680 4947802324992", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "4fa01cbee2fc74e3a62e00386e6fa1c0", "dim_h": null, "inst": " 56/3 -83/6 17704/3 -25024/3 13408832/3 329502271/6 16966193320/3 1129554212443/6 34456919967200/3 1622868038583172/3", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "7", "laurent": null, "discriminant_tex": "(4z-1)(131072z^3+2048z^2+88z-1)(48z+1)^2(64z-3)^2", "discr_factors": "4947802324992, (z+1/48)^2, (z-3/64)^2, z^3+1/64*z^2+11/16384*z-1/131072, z-1/4", "dm_basis": null, "q": "0 1 -28 342 -19536 652669 -31706568 782733242 -46709670976 626920704150", "yuk": "1 56/3 -92 478064/3 -1601812/3 558701352 11862241000 1939801436272 96388625594532 25119094656566864/3", "gv2": null, "gv0": null, "gv1": null, 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