Formats: - HTML - YAML - JSON - 2026-10-25T15:27:28.894098
  • lfunc_lfunctions • Show schema
    {'Lhash': '822726793601691172315909153269', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [170.76734353812338, 0], 'a6': [0, 0], 'a7': [0, -374.3836717690617], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 66.2555760825171, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '288.127', 'coefficient_field': 'CDF', 'conductor': 288, 'conductor_radical': 6, 'conjugate': '1496372182286578761694444146716', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-170.76734353812338, 0], [15625.0, 0]], [[1.0, 0], [0, 374.3836717690617], [-117649.0, 0]], [[1.0, 0], [0, -1358.2612100370245], [-1771561.0, 0]], [[1.0, 0], [2957.836717690617, 0], [4826809.0, 0]], [[1.0, 0], [-6656.089680296195, 0], [24137569.0, 0]], [[1.0, 0], [0, -9926.979485566357], [-47045881.0, 0]], [[1.0, 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0.23421810210650382], 'positive_zeros': ['0.64901700315021064173815137994100', '2.23743653899532241917643801898735', '2.88346458994246369232403521064402', '4.86869843176525637838692875116173', '5.68611343545722017274268894126400', '6.44407517176598272511578458446942', '7.83747867208777113482162377733229', '9.018335223408516908135698978793149', '9.569531408778018857534510229888933', '10.52072143778245641247724478019903'], 'prelabel': '2-288-4.3-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.139752826868706, 'root_angle': -0.125, 'root_number': '0.7071067811865475244008443621048490392848359376884740366 - 0.7071067811865475244008443621048490392848359376884740366*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.125', 'prec': 10}, 'spectral_label': 'c6-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.64901700315021064173815137994', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.23743653899532241917643801899', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.88346458994246369232403521064', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 66.2555760825171, 'bad_primes': [2, 3], 'central_character': '4.3', 'conductor': 288, 'conductor_radical': 6, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/288/7/g/b/127/3'], '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': '2-288-4.3-c6-0-12', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-288-4.3-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.139752826868706, 'root_angle': -0.125, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.64901700315021064173815137994', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '822726793601691172315909153269', 'Lhash_array': ['822726793601691172315909153269'], 'factors': ['2-288-4.3-c6-0-12'], 'label': '2-288-4.3-c6-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/288/7/g/b/127/3'}