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lfunc_lfunctions • Show schema
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{'Lhash': '2960647288346429394365202745441', 'a10': [0, 0], 'a2': [0, 0], 'a3': [1.6019171720410457, -2.7746019314921453], 'a4': [0, 0], 'a5': [-1.4549821551133548, -2.5201030167623917], 'a6': [0, 0], 'a7': [-0.19519968645630414, -0.3380957745638332], 'a8': [0, 0], 'a9': [-3.6322772521599624, -6.291288747917726], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.093090815489845, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [79, [[1.0, 0], [-2.66466365906883, -8.479361272173625]]]], 'bad_primes': [2, 79], 'central_character': '1264.735', 'coefficient_field': 'CDF', 'conductor': 1264, 'conductor_radical': 158, 'conjugate': '892112020723293928842347958801', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.6019171720410457, 2.7746019314921453], [-1.5, -2.598076211353316]], [[1.0, 0], [1.4549821551133548, 2.5201030167623917], [-2.5, 4.330127018922194]], [[1.0, 0], [0.19519968645630414, 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'9.326403200308886000509696847188790', '10.15068155020408708444010241337716'], 'prelabel': '2-1264-316.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1769625140202464, 'root_angle': -0.9932011187617246, 'root_number': '-0.999771898496116161389026109828146841393207846996874814956 - 0.02135769129544677994025792026546703627835282517524204313*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.4966005593808623', 'prec': 64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.33553889992509824794231862437', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.27061898135490998951262627841', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.86836514370943272265286856170', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.093090815489845, 'bad_primes': [2, 79], 'central_character': '316.103', 'conductor': 1264, 'conductor_radical': 158, 'degree': 2, 'index': 37, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1264/2/n/i/735/14'], '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': '2-1264-316.103-c1-0-37', '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': '2-1264-316.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1769625140202464, 'root_angle': -0.4966005593808623, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.33553889992509824794231862437', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2960647288346429394365202745441', 'Lhash_array': ['2960647288346429394365202745441'], 'label': '2-1264-316.103-c1-0-37', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1264/2/n/i/735/14'}