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lfunc_lfunctions • Show schema
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{'Lhash': '1614350658182776749969592143246', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.2733109623318333, 0.8770810289327559], 'a4': [0.0, 0.0], 'a5': [-1.7855677962845613, 1.3460117551015278], 'a6': [0.0, 0.0], 'a7': [-1.3121633797716663, -2.2727336415958224], 'a8': [0.0, 0.0], 'a9': [7.3472173134546965, -4.241917893717748], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.7855677962845613, -1.3460117551015278]]], [13, [[1.0, 0], [-3.393785406426128, -1.2174648311672258]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.253', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '722080998671549009414916804453', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.2733109623318333, -0.8770810289327559], [2.598076211353316, -1.5]], [[1.0, 0], [1.7855677962845613, 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'10.53489116088482539186413662308248', '11.52160065747408037873051549140266', '11.94729543747994767098291811528498'], 'prelabel': '2-260-65.58-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.2591914971613268, 'root_number': '0.6863964662799601 + 0.7272275373487885*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.129595748581', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.27349812155820147592655897038', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.90854368034734215600158542768', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.23654460979977281625517741487', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '65.58', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/bf/c/253/1'], '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': '2-260-65.58-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-260-65.58-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.1295957485806634, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.27349812155820147592655897038', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1614350658182776749969592143246', 'Lhash_array': ['1614350658182776749969592143246'], 'label': '2-260-65.58-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/bf/c/253/1'}