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{'Lhash': '144596564750374000451945348509,1570519942518166917501609358685,1729700083919088874592883423388,1962638307433680000445349905035,2782748726158338745906606743380,3311381387875988274815536452891', 'a10': 0, 'a2': 0, 'a3': 3, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 6, 'a8': 0, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2330.5139027393925, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -3, 6, -7, 6, -3, 1]], [19, [1, 0, 9, 64, 171, 0, 6859]]], 'bad_primes': [2, 3, 19], 'central_character': '456.1', 'coefficient_field': '1.1.1.1', 'conductor': 8990607867641856, 'conductor_radical': 114, 'degree': 12, 'euler_factors': [[1], [1, -3, 6, -7, 6, -3, 1], [1, 0, -3, 16, -6, -24, 269, -120, -150, 2000, -1875, 0, 15625], [1, -6, 33, -150, 546, -1734, 5105, -12138, 26754, -51450, 79233, -100842, 117649], [1, 12, 54, 100, 231, 2568, 13172, 28248, 27951, 133100, 790614, 1932612, 1771561], [1, 3, -33, -32, 981, 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'11.42845013184103647563663607789409'], 'prelabel': '12-456e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.908187184783083, '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': 292761957720340625, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.11406657696082868091680608505', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.23892178352253258141244413606', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.36449277396127253475454976398', 'prec': 103}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 2330.5139027393925, 'bad_primes': [2, 3, 19], 'central_character': '1.1', 'conductor': 8990607867641856, 'conductor_radical': 114, 'degree': 12, 'dirichlet_coefficients': [1, 0, 3, 0, 0, 0, 6, 0, 3, 0, -12, 0, -3, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 3, 0, -2, 0, -12, 0, 30, 0, -36, 0, 0, 0, -6, 0, -9, 0, -12, 0, -9, 0, 0, 0, 18, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 18, 0, 0, 0, 3, 0, 0, 0, -6, 0, 9, 0, 9, 0, -72, 0, -27, 0, -9, 0, -24, 0, 0, 0, -36, 0, -18, 0, -18, 0, 90, 0, 0, 0, -6, 0, -36, 0], 'euler11': [1, 12, 54, 100, 231, 2568, 13172, 28248, 27951, 133100, 790614, 1932612, 1771561], 'euler13': [1, 3, -33, -32, 981, 549, -13818, 7137, 165789, -70304, -942513, 1113879, 4826809], 'euler17': [1, 0, -3, 128, -42, -192, 13769, -3264, -12138, 628864, -250563, 0, 24137569], 'euler19': [1, 0, 9, 64, 171, 0, 6859, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -57, 16, 1938, -456, -50329, -10488, 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'label': '12-456e6-1.1-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': '12-456e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.908187184783083, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 292761957720340625, 'z1': {'__RealLiteral__': 0, 'data': '0.11406657696082868091680608505', 'prec': 103}}
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{'Lhash': '144596564750374000451945348509,1570519942518166917501609358685,1729700083919088874592883423388,1962638307433680000445349905035,2782748726158338745906606743380,3311381387875988274815536452891', 'Lhash_array': ['144596564750374000451945348509', '1570519942518166917501609358685', '1729700083919088874592883423388', '1962638307433680000445349905035', '2782748726158338745906606743380', '3311381387875988274815536452891'], 'label': '12-456e6-1.1-c1e6-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/456/2/q/f'}