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  • lfunc_lfunctions • Show schema
    {'Lhash': '2074602751789531534623746092851', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [2.3772028539729577, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.3772028539729577, 0.0], 'a8': [0.0, 0.0], 'a9': [2.651093408937175, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 60.68630553617312, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 19], 'central_character': '7600.1', 'coefficient_field': 'CDF', 'conductor': 7600, 'conductor_radical': 190, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.3772028539729577, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.3772028539729577, 0], [7.0, 0]], [[1.0, 0], [-1.3772028539729577, 0], [11.0, 0]], [[1.0, 0], [2.8216716648926528, 0], [13.0, 0]], [[1.0, 0], [6.377202853972958, 0], [17.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-6.198874518865611, 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'7.70543837314369368154596317897264'], 'prelabel': '2-7600-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.7901415607274505, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.63657300475069191561447173639', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.30441746569013997102147899244', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.11632180715378391869153508418', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 60.68630553617312, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 7600, 'conductor_radical': 190, 'degree': 2, 'index': 163, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7600/2/a/cc/1/3'], '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': '2-7600-1.1-c1-0-163', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-7600-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.7901415607274505, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.63657300475069191561447173639', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2074602751789531534623746092851', 'Lhash_array': ['2074602751789531534623746092851'], 'factors': ['2-7600-1.1-c1-0-163'], 'label': '2-7600-1.1-c1-0-163', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7600/2/a/cc/1/3'}