-
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [144, -28, -168, -84, -28, 0, 0, 1], 'conductor': 0, 'degree': 7, 'dirichlet_group': [], 'disc_abs': 268962555456, 'disc_rad': 42, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[7, 1]]], [7, [0]], [11, [[7, 1]]], [13, [[5, 1], [1, 2]]], [17, [[4, 1], [2, 1], [1, 1]]], [19, [[3, 1], [2, 2]]], [23, [[3, 2], [1, 1]]], [29, [[7, 1]]], [31, [[7, 1]]], [37, [[4, 1], [2, 1], [1, 1]]], [41, [[5, 1], [1, 2]]], [43, [[7, 1]]], [47, [[5, 1], [1, 2]]], [53, [[4, 1], [2, 1], [1, 1]]], [59, [[4, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [2940, 3500, 3120], 'galois_label': '7T6', 'galt': 6, 'grd': 114.86346945057184, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 11, 'label': '7.3.268962555456.11', 'local_algs': ['2.1.0.1', '2.6.6.7', '3.1.0.1', '3.6.6.1', '7.7.8.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 2, 'ramps': [2, 3, 7], 'rd': 42.9351631468, 'regulator': {'__RealLiteral__': 0, 'data': '5817.28843737', 'prec': 44}, 'res': {'sib': ['-85912,278376,-20160,-9030,-228018,835422,-350126,-260586,36708,319585,-1638,-25158,-60494,1533,1614,4144,-42,-21,-112,0,0,1', '453,-1467,1449,-231,42,-588,84,378,-294,-112,42,168,35,-21,-3,1', '80409,-48069,29547,30723,-41160,10290,1764,-6510,4032,476,-1008,126,91,-21,-3,1', '16323711782,-42801689336,32643386846,42907037208,-158210903823,206913675549,-121154821963,-61074264371,212052217601,-251656729359,197678114739,-114866441109,49743900717,-13073461149,-1819925679,4854036411,-3425605869,1556661057,-499667959,117432679,-19339957,-2936913,6718887,-4718049,2065007,-673337,202853,-73955,26255,-7511,1659,-399,63,7,-7,1', '275061816,-2138020920,-9884697732,156158840796,-726182536758,1613748149286,-1653740454737,436536753234,-97407467262,1401335144734,-1353378017922,-622453240416,1113475767754,37543912434,32875632912,-860033918226,427693331688,497984066160,-504041368915,18100014744,152124843612,-57565762240,-9358429374,9733076514,-1562714678,103774104,-38253264,-96561388,51145092,3234420,-4009705,-742224,151956,218778,-38640,-12780,700,840,252,-98,0,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{21}{944} a^{6} - \\frac{3}{236} a^{5} - \\frac{5}{472} a^{4} - \\frac{131}{472} a^{3} - \\frac{235}{236} a^{2} - \\frac{208}{59} a - \\frac{215}{59} \\)', '\\( \\frac{7}{944} a^{6} - \\frac{179}{472} a^{5} + \\frac{9}{236} a^{4} + \\frac{1451}{472} a^{3} + \\frac{1967}{236} a^{2} + \\frac{529}{236} a - \\frac{406}{59} \\)', '\\( \\frac{133}{944} a^{6} + \\frac{21}{472} a^{5} - \\frac{3}{118} a^{4} - \\frac{1695}{472} a^{3} - \\frac{3219}{236} a^{2} - \\frac{6115}{236} a - \\frac{1106}{59} \\)', '\\( \\frac{67}{236} a^{6} - \\frac{793}{472} a^{5} + \\frac{1591}{472} a^{4} - \\frac{1317}{118} a^{3} + \\frac{1487}{118} a^{2} + \\frac{6759}{236} a - \\frac{1384}{59} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3', '1/8*a^4 - 1/4*a^3 + 1/4*a^2 - 1/4*a', '1/8*a^5 - 1/4*a^3 + 1/4*a^2 - 1/2*a', '1/944*a^6 + 25/472*a^5 + 11/472*a^4 - 113/472*a^3 + 26/59*a^2 - 17/118*a + 1/59']}
Number field data - 7.3.268962555456.11