Formats: - HTML - YAML - JSON - 2026-09-11T01:21:24.117907
  • lfunc_lfunctions • Show schema
    {'Lhash': '1480211734116308426173332641034', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.6467882563723711, 'analytic_normalization': 0, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '1296.703', 'coefficient_field': 'CDF', 'conductor': 1296, 'conductor_radical': 6, 'conjugate': '1863161734307669604106736086259', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [-1.0, -1.7320508075688772], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [-0.5, -0.8660254037844386]], 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'9.799943370483185191917632267188837'], 'prelabel': '2-6e4-36.7-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.804231469399433, 'root_angle': -0.05555555555555555, 'root_number': '0.93969262078590838405410927732446 - 0.34202014332566873304409961468239*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.05555555555555555', 'prec': 54}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.16768116849375470807889173288', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.77700903918408898284677472720', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.59016694608725740294725653465', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.6467882563723711, 'bad_primes': [2, 3], 'central_character': '36.7', 'conductor': 1296, 'conductor_radical': 6, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1296/1/o/b/703/1'], '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': '2-6e4-36.7-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-6e4-36.7-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.804231469399433, 'root_angle': -0.05555555555555555, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.16768116849375470807889173288', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1480211734116308426173332641034', 'Lhash_array': ['1480211734116308426173332641034'], 'factors': ['2-6e4-36.7-c0-0-0'], 'label': '2-6e4-36.7-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1296/1/o/b/703/1'}