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lfunc_lfunctions • Show schema
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'12-966e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.777327642763037, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e6-0', 'trace_hash': 494629479206754662, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.05915110394535300484896955737', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.59308165956348605226966844169', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.10986971790949455538385014326', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 210632.50880047103, 'bad_primes': [2, 3, 7, 23], 'central_character': '1.1', 'conductor': 812573693972260416, 'conductor_radical': 966, 'degree': 12, 'dirichlet_coefficients': [1, 3, 3, 3, -3, 9, -3, -2, 3, -9, 0, 9, -6, -9, -9, -9, -3, 9, -6, -9, -9, 0, 3, -6, 18, -18, -2, -9, 24, -27, 0, -9, 0, -9, 9, 9, 12, -18, -18, 6, -36, -27, 0, 0, -9, 9, 3, -27, 3, 54, -9, -18, 3, -6, 0, 6, -18, 72, 12, -27, -30, 0, -9, 3, 18, 0, 21, -9, 9, 27, -6, -6, -15, 36, 54, -18, 0, -54, 12, 27, -9, -108, -24, -27, 9, 0, 72, 0, -12, -27, 18, 9, 0, 9, 18, -27, 0, 9, 0, 54], 'euler11': [1, 0, -18, -12, 126, 108, -866, 1188, 15246, -15972, -263538, 0, 1771561], 'euler13': [1, 6, 39, 202, 951, 3864, 16422, 50232, 160719, 443794, 1113879, 2227758, 4826809], 'euler17': [1, 3, -6, 93, 42, -1023, 3976, -17391, 12138, 456909, -501126, 4259571, 24137569], 'euler19': [1, 6, -15, -54, 552, -282, -16297, -5358, 199272, -370386, -1954815, 14856594, 47045881], 'euler2': [1, -3, 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'12-966e6-1.1-c1e6-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-966e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.777327642763037, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 494629479206754662, 'z1': {'__RealLiteral__': 0, 'data': '0.05915110394535300484896955737', 'prec': 103}}
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{'Lhash': '74982932420489124859916364739,751820321730007504452122466446,1406927014083106420286869625432,1702586964068522094072014689765,2067962749584334357975918621865,3050943800617330055178933439393', 'Lhash_array': ['74982932420489124859916364739', '751820321730007504452122466446', '1406927014083106420286869625432', '1702586964068522094072014689765', '2067962749584334357975918621865', '3050943800617330055178933439393'], 'label': '12-966e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/966/2/i/k'}