Formats: - HTML - YAML - JSON - 2026-09-15T04:00:43.920362
  • lfunc_lfunctions • Show schema
    {'Lhash': '797487604031237069877223625473', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.2360679774997898, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.2360679774997897, 0.0], 'a8': [0.0, 0.0], 'a9': [-1.4721359549995794, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 36.731184929788995, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 23], 'central_character': '4600.1', 'coefficient_field': 'CDF', 'conductor': 4600, 'conductor_radical': 230, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.2360679774997898, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.2360679774997897, 0], [7.0, 0]], [[1.0, 0], [-1.0, 0], [11.0, 0]], [[1.0, 0], [-2.23606797749979, 0], [13.0, 0]], [[1.0, 0], [2.4721359549995796, 0], [17.0, 0]], [[1.0, 0], [-1.0, 0], [19.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], 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16, 'label': '2-4600-1.1-c1-0-16', 'leading_term': '1.2009413993939179333329475983482', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/4600/2/a/u/1/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 24}, 'plot_values': [1.200941399393918, 1.193050174283591, 1.169351494904153, 1.1297775613753744, 1.0742388993637413, 1.0026578999862588, 0.9150124680778942, 0.8113868740252372, 0.6920265634367602, 0.5573935810432836, 0.4082193705306445, 0.24555196598868353, 0.07079493820957417, -0.11426414543386029, -0.3074375766081985, -0.5061350939793128, -0.7073762129310589, -0.9078179011023539, -1.1037977943387791, -1.291392727935555, -1.4664919243103318, -1.6248837304574246, -1.762354340914409, -1.8747964828825712, -1.958325591611981, -2.0094005811528355, -2.0249459351270787, -2.0024715224810143, -1.9401863026372461, -1.83710194072398, 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'7.58497734860849402406955210640009', '8.259327125608239487620625767938926'], 'prelabel': '2-4600-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.06062578697852, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.62910679321861749837331227631', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.84145089025482935113419135909', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.90358027288282905760693584927', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 36.731184929788995, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 4600, 'conductor_radical': 230, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4600/2/a/u/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': '2-4600-1.1-c1-0-16', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-4600-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.06062578697852, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.62910679321861749837331227631', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '797487604031237069877223625473', 'Lhash_array': ['797487604031237069877223625473'], 'factors': ['2-4600-1.1-c1-0-16'], 'label': '2-4600-1.1-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4600/2/a/u/1/1'}