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lfunc_lfunctions • Show schema
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{'Lhash': '1118745042948405026023677675479', 'a10': [-167.70509831248424, 0.0], 'a2': [-6.708203932499369, 0.0], 'a3': [-4.47213595499958, 0.0], 'a4': [29.0, 0.0], 'a5': [25.0, 0.0], 'a6': [30.0, 0.0], 'a7': [0.0, 0.0], 'a8': [-87.20665112249179, 0.0], 'a9': [-61.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.820146492965215, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-25.0, 0]]], [19, [[1.0, 0], [-361.0, 0]]]], 'bad_primes': [5, 19], 'central_character': '95.94', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '1118745042948405026023677675479', 'degree': 2, 'euler_factors': [[[1.0, 0], [6.708203932499369, 0], [16.0, 0]], [[1.0, 0], [4.47213595499958, 0], [81.0, 0]], [[1.0, 0], [-25.0, 0]], [[1.0, 0], [0, 0], [-2401.0, 0]], [[1.0, 0], [62.0, 0], [14641.0, 0]], [[1.0, 0], [-67.08203932499369, 0], [28561.0, 0]], [[1.0, 0], [0, 0], [-83521.0, 0]], [[1.0, 0], [-361.0, 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'11.67142682040378487914843403625188', '13.18836900876708261982688968688792'], 'prelabel': '2-95-95.94-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.133711297003158, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.882534227291798518873035730630', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.53597628261584386114806763171', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.44855585979411610412198506732', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.820146492965215, 'bad_primes': [5, 19], 'central_character': '95.94', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/5/d/c/94/1'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-95-95.94-c4-0-15', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-95-95.94-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.133711297003158, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '0.882534227291798518873035730630', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1118745042948405026023677675479', 'Lhash_array': ['1118745042948405026023677675479'], 'label': '2-95-95.94-c4-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/5/d/c/94/1'}