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lfunc_lfunctions • Show schema
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{'Lhash': '3328566419847433423625313944423', 'a10': [-2.320689371392605, -0.7229172642969811], 'a2': [1.0632791540538788, 0.22600696108110227], 'a3': [-1.6808171123289544, 0.4181552760663855], 'a4': [-0.7476075022967844, -0.33285630537439576], 'a5': [-2.2264997524298096, -0.206637006438819], 'a6': [-1.8816838005202072, 0.06473942050845184], 'a7': [1.739692206125006, -3.0132352905400985], 'a8': [-2.478544688012303, -1.8007681234027173], 'a9': [2.6502923301956898, -1.4056850872460376], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.6808171123289544, -0.4181552760663855]]], [5, [[1.0, 0], [2.2264997524298096, 0.206637006438819]]]], 'bad_primes': [3, 5], 'central_character': '225.106', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '511743677075213228280517716793', 'degree': 2, 'euler_factors': [[[1.0, 0], 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0.8565944950266434*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.336287953684', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.62577591904910876637164850117', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.39493361177751209673746532239', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.07315412729407083945667263267', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'bad_primes': [3, 5], 'central_character': '225.106', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/2/q/a/106/19'], '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': '2-15e2-225.106-c1-0-23', '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': '2-15e2-225.106-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323886, 'root_angle': 0.336287953684377, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.62577591904910876637164850117', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3328566419847433423625313944423', 'Lhash_array': ['3328566419847433423625313944423'], 'label': '2-15e2-225.106-c1-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/2/q/a/106/19'}