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lfunc_lfunctions • Show schema
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{'Lhash': '1691371200084387043761926029528', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [5.998902715711593, 1.0577684034252361], 'a4': [0.0, 0.0], 'a5': [34.00757139006009, 28.535740610634445], 'a6': [0.0, 0.0], 'a7': [-4.845471592633917, -8.39260298507363], 'a8': [0.0, 0.0], 'a9': [-41.24714248637143, -15.012732113576037], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.856117194372171, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-360.9958528378213, 1.73038547557385]]]], 'bad_primes': [2, 19], 'central_character': '76.33', 'coefficient_field': 'CDF', 'conductor': 76, 'conductor_radical': 38, 'conjugate': '2683409127611959901289100455583', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-5.998902715711593, -1.0577684034252361], [76.11510228365857, 27.70363160937917]], [[1.0, 0], [-34.00757139006009, -28.535740610634445], [108.53011104183147, 615.50484563263]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.856117194372171, 'bad_primes': [2, 19], 'central_character': '19.14', 'conductor': 76, 'conductor_radical': 38, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/76/5/j/a/33/5'], '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': '2-76-19.14-c4-0-3', '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': '2-76-19.14-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8028765927832375, 'root_angle': -0.1310373615769026, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.33425661596331864226435994263', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1691371200084387043761926029528', 'Lhash_array': ['1691371200084387043761926029528'], 'label': '2-76-19.14-c4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/76/5/j/a/33/5'}