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lfunc_lfunctions • Show schema
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{'Lhash': '1044222695090038098174406897524', 'a10': [6469035.337619549, -6469035.337619549], 'a2': [-50.67866606067165, -50.67866606067165], 'a3': [910.2274964171985, 910.2274964171985], 'a4': [0, -11247.345612621853], 'a5': [0, 127648.0981144004], 'a6': [0, -92258.2306603368], 'a7': [-1549343.373433155, 0], 'a8': [-1400319.7371090678, 1400319.7371090678], 'a9': [0, -3125940.8095321576], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 36.05540076405275, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '7.0', 'prec': 10}, 'bad_lfactors': [[29, [[1.0, 0], [-10598957698.478907, -13609567531.029566]]]], 'bad_primes': [29], 'central_character': '29.12', 'coefficient_field': 'CDF', 'conductor': 29, 'conductor_radical': 29, 'conjugate': '673748116182438748468208660987', 'degree': 2, 'euler_factors': [[[1.0, 0], [50.67866606067165, 50.67866606067165], [0, 16384.0]], [[1.0, 0], [-910.2274964171985, -910.2274964171985], [0, 4782969.0]], [[1.0, 0], [0, -127648.0981144004], 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'4.35751321393225649762058113916', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 36.05540076405275, 'bad_primes': [29], 'central_character': '29.12', 'conductor': 29, 'conductor_radical': 29, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/29/15/c/a/12/14'], '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': '2-29-29.12-c14-0-9', 'motivic_weight': 14, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [14], 'order_of_vanishing': 0, 'prelabel': '2-29-29.12-c14-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.004614955519858, 'root_angle': 0.11441192035261138, 'self_dual': False, 'spectral_label': 'c14-0', 'z1': {'__RealLiteral__': 0, 'data': '0.823746460501052053704091742700', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1044222695090038098174406897524', 'Lhash_array': ['1044222695090038098174406897524'], 'label': '2-29-29.12-c14-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/29/15/c/a/12/14'}