Formats: - HTML - YAML - JSON - 2026-09-07T16:08:22.132554
  • lfunc_lfunctions • Show schema
    {'Lhash': '1779311874874435795331659158956', 'a10': [0.0, 0.0], 'a2': [-1.7320508075688772, 0.0], 'a3': [1.0, 0.0], 'a4': [1.0, 0.0], 'a5': [0.0, 0.0], 'a6': [-1.7320508075688772, 0.0], 'a7': [1.7320508075688772, 0.0], 'a8': [1.7320508075688772, 0.0], 'a9': [-2.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 24.15474661143733, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 11], 'central_character': '3025.1', 'coefficient_field': 'CDF', 'conductor': 3025, 'conductor_radical': 55, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.7320508075688772, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.7320508075688772, 0], [7.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [3.4641016151377544, 0], [13.0, 0]], [[1.0, 0], [-6.928203230275509, 0], [17.0, 0]], [[1.0, 0], [3.4641016151377544, 0], [19.0, 0]], [[1.0, 0], [0, 0], [23.0, 0]], 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{'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.40362957628394311272625414820', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.31968796637188150022728979119', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.31542274072744033238996171940', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 24.15474661143733, 'bad_primes': [5, 11], 'central_character': '1.1', 'conductor': 3025, 'conductor_radical': 55, 'degree': 2, 'index': 107, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3025/2/a/l/1/1'], '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': '2-55e2-1.1-c1-0-107', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-55e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.914747868552092, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.40362957628394311272625414820', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1779311874874435795331659158956', 'Lhash_array': ['1779311874874435795331659158956'], 'factors': ['2-55e2-1.1-c1-0-107'], 'label': '2-55e2-1.1-c1-0-107', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3025/2/a/l/1/1'}