Formats: - HTML - YAML - JSON - 2026-10-07T03:06:52.469325
  • lfunc_lfunctions • Show schema
    {'Lhash': '1270563860319397106552899089164', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-1.5307337294603591, 0], 'a6': [0, 0], 'a7': [0, -0.585786437626905], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 36.795065251406015, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '4608.2303', 'coefficient_field': 'CDF', 'conductor': 4608, 'conductor_radical': 6, 'conjugate': '87676578220107244387252460350', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.5307337294603591, 0], [5.0, 0]], [[1.0, 0], [0, 0.585786437626905], [-7.0, 0]], [[1.0, 0], [0, -5.226251859505506], [-11.0, 0]], [[1.0, 0], [0, -5.226251859505506], [-13.0, 0]], [[1.0, 0], [0, 1.4142135623730951], [-17.0, 0]], [[1.0, 0], [3.0614674589207183, 0], [19.0, 0]], [[1.0, 0], [0.8284271247461901, 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'4.95651883928625871576078795876787', '5.76698122611046492809128804820109', '6.17455881882520843323919997997361', '7.33071710500886751030450820762935', '7.87032524776353061629141232272587', '8.637764699825355491378695289334193'], 'prelabel': '2-4608-24.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.065893606996912, 'root_angle': 0.3479566380076518, 'root_number': '-0.5773502691896257645091487805019574556476017512701268761 + 0.8164965809277260327324280249019637973219824935522233762*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.3479566380076518', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.00229815699266280318978667219', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.41706462211640068492784210274', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.38707805422878720317940105659', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 36.795065251406015, 'bad_primes': [2, 3], 'central_character': '24.11', 'conductor': 4608, 'conductor_radical': 6, 'degree': 2, 'index': 38, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4608/2/f/o/2303/3'], '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': '2-4608-24.11-c1-0-38', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-4608-24.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.065893606996912, 'root_angle': 0.3479566380076518, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.00229815699266280318978667219', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1270563860319397106552899089164', 'Lhash_array': ['1270563860319397106552899089164'], 'factors': ['2-4608-24.11-c1-0-38'], 'label': '2-4608-24.11-c1-0-38', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4608/2/f/o/2303/3'}