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lfunc_lfunctions • Show schema
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{'Lhash': '312539402917579740642366035349,460732094154308710914061996736,902034200528392515732134977679,1421153662853479547145164806511,1612256809865125807907011661477', 'a10': 6, 'a2': 2, 'a3': 0, 'a4': 1, 'a5': 3, 'a6': 0, 'a7': -5, 'a8': -1, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 253062184.02478588, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [23, [1, 5, 10, 10, 5, 1]], [29, [1, 5, 10, 10, 5, 1]]], 'bad_primes': [3, 23, 29], 'central_character': '6003.1', 'coefficient_field': '1.1.1.1', 'conductor': 7795459449722430243, 'conductor_radical': 2001, 'degree': 10, 'euler_factors': [[1, -2, 3, -3, 9, -15, 18, -12, 24, -32, 32], [1], [1, -3, 16, -32, 132, -227, 660, -800, 2000, -1875, 3125], [1, 5, 33, 115, 447, 1151, 3129, 5635, 11319, 12005, 16807], [1, -8, 71, -359, 1734, -5961, 19074, -43439, 94501, -117128, 161051], [1, -5, 61, -237, 1563, -4463, 20319, -40053, 134017, -142805, 371293], [1, 2, 80, 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'6.33215757238418040529573564339123', '6.37859626751802682159635263450870', '6.45381093891233176389347569886045', '6.45869039993390428963177139875186', '6.71459201347528533860331996568630', '6.84363248068823991128906245950663', '6.86725965577489407012607936524623', '6.99929191822099076604938089808447', '7.24634673500471507551706097470416', '7.50345324596294166140959906008627', '7.66591353833828023986985693035720', '7.87545742897265953953575181150537', '8.006928969927613727752785598916298', '8.115141209563644433575143272764616', '8.116034315489907200443513360094448', '8.186229313548228816491788514965214'], 'prelabel': '10-6003e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.923452630976445, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e5-0', 'trace_hash': 105737029763883229, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.24655011630279649231392011666', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.36345353685894041128122060480', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.71157951596913940535758396694', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 253062184.02478588, 'bad_primes': [3, 23, 29], 'central_character': '1.1', 'conductor': 7795459449722430243, 'conductor_radical': 2001, 'degree': 10, 'dirichlet_coefficients': [1, 2, 0, 1, 3, 0, -5, -1, 0, 6, 8, 0, 5, -10, 0, -8, -2, 0, -9, 3, 0, 16, -5, 0, -7, 10, 0, -5, -5, 0, -6, -13, 0, -4, -15, 0, 10, -18, 0, -3, 11, 0, -9, 8, 0, -10, 13, 0, -8, -14, 0, 5, -1, 0, 24, 5, 0, -10, -6, 0, 23, -12, 0, -2, 15, 0, -10, -2, 0, -30, 11, 0, 31, 20, 0, -9, -40, 0, 8, -24, 0, 22, -7, 0, -6, -18, 0, -8, -3, 0, -25, -5, 0, 26, -27, 0, 3, -16, 0, -7], 'euler11': [1, -8, 71, -359, 1734, -5961, 19074, -43439, 94501, -117128, 161051], 'euler13': [1, -5, 61, -237, 1563, -4463, 20319, -40053, 134017, -142805, 371293], 'euler17': [1, 2, 80, 125, 2634, 3097, 44778, 36125, 393040, 167042, 1419857], 'euler19': [1, 9, 89, 438, 2569, 9583, 48811, 158118, 610451, 1172889, 2476099], 'euler2': [1, -2, 3, -3, 9, -15, 18, -12, 24, -32, 32], 'euler23': [1, 5, 10, 10, 5, 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'10-6003e5-1.1-c1e5-0-0', '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}], 'nu_real_doubled': [1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '10-6003e5-1.1-c1e5-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.923452630976445, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e5-0', 'trace_hash': 105737029763883229, 'z1': {'__RealLiteral__': 0, 'data': '0.24655011630279649231392011666', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '312539402917579740642366035349,460732094154308710914061996736,902034200528392515732134977679,1421153662853479547145164806511,1612256809865125807907011661477', 'Lhash_array': ['312539402917579740642366035349', '460732094154308710914061996736', '902034200528392515732134977679', '1421153662853479547145164806511', '1612256809865125807907011661477'], 'label': '10-6003e5-1.1-c1e5-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6003/2/a/h'}