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lfunc_lfunctions • Show schema
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{'Lhash': '950997904822953055167132877560', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [-1024.0, 0], 'a5': [1975.5, 2421.368363136844], 'a6': [0, 0], 'a7': [0, 8486.776243073691], 'a8': [0, 0], 'a9': [-59049.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 60.35893900400382, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.0', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-1975.5, -2421.368363136844]]], [19, [[1.0, 0], [2476099.0, 0]]]], 'bad_primes': [5, 19], 'central_character': '95.94', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '314636386556119570704575168703', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [1024.0, 0]], [[1.0, 0], [0, 0], [59049.0, 0]], [[1.0, 0], [-1975.5, -2421.368363136844]], [[1.0, 0], [0, -8486.776243073691], [-282475249.0, 0]], [[1.0, 0], [203523.0, 0], [25937424601.0, 0]], [[1.0, 0], [0, 0], [137858491849.0, 0]], [[1.0, 0], [0, 1859083.4761169278], [-2015993900449.0, 0]], [[1.0, 0], 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'4.13208760491157723585707550605907', '5.15730103531334606385314228816835', '6.17217720397381422258065391454922', '8.231373408226320965486263192293322', '8.595756068064213234994245972358861', '9.991202521767680121983389418604261', '10.76794745697115588505466805547872', '12.60068889380601118170171174584046'], 'prelabel': '2-95-95.94-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.769101557065902, 'root_angle': 0.2821685343564687, 'root_number': '0.6321599999999999 + 0.7748378762037902*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.14108426717823433', 'prec': 64}, 'spectral_label': 'c10-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.75020506806192037575935143113968', 'prec': 113}, 'z2': {'__RealLiteral__': 0, 'data': '2.42135042513146881104795493234808', 'prec': 113}, 'z3': {'__RealLiteral__': 0, 'data': '4.13208760491157723585707550605907', 'prec': 113}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 60.35893900400382, 'bad_primes': [5, 19], 'central_character': '95.94', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 53, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/11/d/a/94/2'], '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': '2-95-95.94-c10-0-53', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [10], 'order_of_vanishing': 0, 'prelabel': '2-95-95.94-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.769101557065902, 'root_angle': 0.14108426717823436, 'self_dual': False, 'spectral_label': 'c10-0', 'z1': {'__RealLiteral__': 0, 'data': '0.75020506806192037575935143113968', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '950997904822953055167132877560', 'Lhash_array': ['950997904822953055167132877560'], 'label': '2-95-95.94-c10-0-53', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/11/d/a/94/2'}