Formats: - HTML - YAML - JSON - 2026-08-11T05:53:12.076087
  • lfunc_lfunctions • Show schema
    {'Lhash': '1088173997160808804855972780701', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.0, 0.0], 'a4': [0.0, 0.0], 'a5': [1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [3.5877414504720115, 0.0], 'a8': [0.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 44.0774219157468, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [23, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 3, 5, 23], 'central_character': '5520.1', 'coefficient_field': 'CDF', 'conductor': 5520, 'conductor_radical': 690, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-3.5877414504720115, 0], [7.0, 0]], [[1.0, 0], [0, 0], [11.0, 0]], [[1.0, 0], [-0.7158527350369995, 0], [13.0, 0]], [[1.0, 0], [1.5877414504720113, 0], [17.0, 0]], [[1.0, 0], [0, 0], [19.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-5.587741450472011, 0], 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[0]], 'group': 'GL2', 'index': 23, 'label': '2-5520-1.1-c1-0-23', 'leading_term': '2.19266311346583938046275525065', '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/5520/2/a/ca/1/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 24}, 'plot_values': [2.1926631134658394, 2.184528708629183, 2.1600879224695384, 2.119236496247862, 2.061828219304176, 1.9877141127572435, 1.8967932298877588, 1.7890715225954377, 1.6647248233174383, 1.5241618971142339, 1.3680836791096354, 1.1975351595350412, 1.0139468428694898, 0.819163231346196, 0.6154563265747062, 0.40552268441119305, 0.1924630901745512, -0.02025555422976706, -0.22885601680784912, -0.4293235540209264, -0.6174945857975441, -0.7891595124632411, -0.940177422132011, -1.0665999141809417, -1.1648007715250939, -1.2316077706497266, -1.2644325447684976, -1.2613941337357164, -1.221431685513182, 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'6.69974539443864719530235085947740', '7.42031240882041207671308055881108', '8.177738195546493942115476530995344'], 'prelabel': '2-5520-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.639082912251269, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.858417924438242364045258630289', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '1.78248115449682135411049659237', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.61220570420147020495200672233', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 44.0774219157468, 'bad_primes': [2, 3, 5, 23], 'central_character': '1.1', 'conductor': 5520, 'conductor_radical': 690, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5520/2/a/ca/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': '2-5520-1.1-c1-0-23', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-5520-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.639082912251269, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.858417924438242364045258630289', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1088173997160808804855972780701', 'Lhash_array': ['1088173997160808804855972780701'], 'factors': ['2-5520-1.1-c1-0-23'], 'label': '2-5520-1.1-c1-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5520/2/a/ca/1/3'}