Formats: - HTML - YAML - JSON - 2026-07-18T15:14:21.647474
  • lfunc_lfunctions • Show schema
    {'Lhash': '2327431375157792188980954964002', 'a10': [545890898526145000000000000000000000000000000000, 0], 'a2': [390162097554703.94, 0], 'a3': [21692355551077444000000, 0], 'a4': [112612381111154150000000000000, 0], 'a5': [1399138721950321000000000000000000, 0], 'a6': [8463534942710802000000000000000000000, 0], 'a7': [17536149956184773000000000000000000000000, 0], 'a8': [28481169788972455000000000000000000000000000, 0], 'a9': [-1650336857690953500000000000000000000000000000, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 57.15359088154, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '47.5', 'prec': 14}, 'bad_lfactors': [], 'bad_primes': [], 'central_character': '1.1', 'coefficient_field': 'CDF', 'conductor': 1, 'conductor_radical': 1, 'degree': 2, 'euler_factors': [[[1.0, 0], [-390162097554703.94, 0], [39614081257132170000000000000, 0]], [[1.0, 0], [-21692355551077444000000, 0], [2120895147045314200000000000000000000000000000, 0]], [[1.0, 0], 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'2-1-1.1-c95-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.559999396927225, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c95-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.83601962144676027419697295306', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.47078888065588674882906026744', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.07591210979967327433256067865', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 57.15359088154, 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1/96/a/a/1/8'], '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': '2-1-1.1-c95-0-7', 'motivic_weight': 95, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [95], 'order_of_vanishing': 0, 'prelabel': '2-1-1.1-c95-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.559999396927225, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c95-0', 'z1': {'__RealLiteral__': 0, 'data': '1.83601962144676027419697295306', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '2327431375157792188980954964002', 'Lhash_array': ['2327431375157792188980954964002'], 'factors': ['2-1-1.1-c95-0-7'], 'label': '2-1-1.1-c95-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1/96/a/a/1/8'}