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{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [-244, 119, 134, 70, 8, -14, -10, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 2560720050625, 'disc_rad': 1265, 'disc_sign': 1, 'frobs': [[2, [[3, 2], [1, 2]]], [3, [[6, 1], [2, 1]]], [5, [0]], [7, [[4, 2]]], [11, [0]], [13, [[3, 2], [1, 2]]], [17, [[4, 2]]], [19, [[4, 2]]], [23, [0]], [29, [[6, 1], [2, 1]]], [31, [[3, 2], [1, 2]]], [37, [[4, 2]]], [41, [[6, 1], [2, 1]]], [43, [[2, 4]]], [47, [[6, 1], [2, 1]]], [53, [[4, 2]]], [59, [[2, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 24, 24], 'galois_label': '8T24', 'galt': 24, 'grd': 35.566838487557476, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '8.4.2560720050625.2', 'local_algs': ['5.8.4.1', '11.2.1.1', '11.2.1.1', '11.4.2.1', '23.2.1.1', '23.2.1.1', '23.4.2.1'], 'minimal_sibling': [1, -1, 3, -1, 3, -1, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 2, 'ramps': [5, 11, 23], 'rd': 35.5668384876, 'regulator': {'__RealLiteral__': 0, 'data': '3610.19650459', 'prec': 44}, 'res': {'sib': ['-17,-23,0,-1,0,0,1', '1,-1,3,-1,3,-1,1', '1,-1,4,4,0,4,4,-1,1', '1,-3,-1,12,12,-49,-40,43,88,94,-11,-160,-196,30,145,49,37,-22,-20,-19,22,-1,-2,-2,1', '1,0,-5,0,7,-6,-17,-6,7,0,-5,0,1', '1,0,7,-23,24,-60,184,-61,116,-399,-9,104,448,176,-89,-264,-31,39,160,12,24,-19,4,-1,1', '1,3,9,12,16,11,8,3,1,-1,0,0,1', '1006424,750492,275752,-13147,-52100,-8191,5402,1120,-132,-42,-19,0,1', '1296,0,1903,0,1216,0,-736,0,348,0,48,0,-16,0,4,0,1', '1849,1505,2530,1052,1788,304,763,-78,200,-35,25,-3,1', '2401,0,-5782,0,-599,0,-1278,0,218,0,-20,0,1', '4856,-23000,38794,-33569,26261,-11808,5601,-1289,517,-51,28,0,1', '64,-736,2512,14536,-68196,118158,-117257,70864,-18618,-8516,15783,-14156,6282,3022,-8568,8100,-4064,336,1280,-1252,695,-264,70,-12,1', '6429064,6512836,-9125852,-3680719,17444520,4025536,-16000846,-2095612,10127510,468708,-4878221,-54036,1754336,8004,-455944,-1056,83456,-277,-10372,56,850,-4,-42,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-316.-1.1', '-6.7.0.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{6204}{1468697} a^{7} + \\frac{23928}{1468697} a^{6} - \\frac{100430}{1468697} a^{5} - \\frac{255459}{1468697} a^{4} + \\frac{44439}{1468697} a^{3} + \\frac{565904}{1468697} a^{2} + \\frac{1371966}{1468697} a + \\frac{45339}{24077} \\)', '\\( \\frac{52546}{1468697} a^{7} + \\frac{69145}{1468697} a^{6} - \\frac{361046}{1468697} a^{5} - \\frac{1162276}{1468697} a^{4} - \\frac{1292589}{1468697} a^{3} + \\frac{965522}{1468697} a^{2} + \\frac{6145902}{1468697} a + \\frac{168409}{24077} \\)', '\\( \\frac{25136}{1468697} a^{7} + \\frac{11722}{1468697} a^{6} - \\frac{115244}{1468697} a^{5} - \\frac{395831}{1468697} a^{4} - \\frac{229028}{1468697} a^{3} + \\frac{370526}{1468697} a^{2} + \\frac{2408175}{1468697} a + \\frac{47103}{24077} \\)', '\\( \\frac{62739}{1468697} a^{7} - \\frac{81876}{1468697} a^{6} - \\frac{250018}{1468697} a^{5} - \\frac{521657}{1468697} a^{4} + \\frac{143300}{1468697} a^{3} + \\frac{376402}{1468697} a^{2} + \\frac{3518078}{1468697} a - \\frac{49715}{24077} \\)', '\\( \\frac{312478}{1468697} a^{7} - \\frac{411233}{1468697} a^{6} - \\frac{2725127}{1468697} a^{5} + \\frac{725089}{1468697} a^{4} + \\frac{501114}{1468697} a^{3} + \\frac{14726972}{1468697} a^{2} + \\frac{24671847}{1468697} a - \\frac{366479}{24077} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/1468697*a^7 + 321015/1468697*a^6 - 494790/1468697*a^5 + 162595/1468697*a^4 - 588750/1468697*a^3 + 223568/1468697*a^2 - 665948/1468697*a - 2752/24077']}