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  • lfunc_lfunctions • Show schema
    {'Lhash': '2214577458715619484018520931424', 'a10': [2.5, 4.330127018922194], 'a2': [0.5, -0.8660254037844386], 'a3': [2.5, -4.330127018922194], 'a4': [3.5, 6.06217782649107], 'a5': [-2.5, 4.330127018922194], 'a6': [-2.5, -4.330127018922194], 'a7': [22.0, 0.0], 'a8': [15.0, 0.0], 'a9': [1.0, 1.7320508075688772], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.605181450545361, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 7}, 'bad_lfactors': [[5, [[1.0, 0], [2.5, -4.330127018922194]]], [19, [[1.0, 0], [66.5, 49.363448015713004]]]], 'bad_primes': [5, 19], 'central_character': '95.11', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '2305411974656719362205828625996', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5, 0.8660254037844386], [-4.0, -6.928203230275509]], [[1.0, 0], [-2.5, 4.330127018922194], [-13.5, -23.382685902179844]], [[1.0, 0], [2.5, -4.330127018922194]], [[1.0, 0], [-22.0, 0], [343.0, 0]], [[1.0, 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'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.74699357876445148617334030237', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.13421292185354867165874738185', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.05702198807915921117737565279', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 5.605181450545361, 'bad_primes': [5, 19], 'central_character': '19.11', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/4/e/a/11/1'], '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': '2-95-19.11-c3-0-12', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-95-19.11-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.367526441361397, 'root_angle': 0.06775328806227679, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.74699357876445148617334030237', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2214577458715619484018520931424', 'Lhash_array': ['2214577458715619484018520931424'], 'factors': ['2-95-19.11-c3-0-12'], 'label': '2-95-19.11-c3-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/4/e/a/11/1'}