Formats: - HTML - YAML - JSON - 2026-10-16T02:06:24.012575
  • lfunc_lfunctions • Show schema
    {'Lhash': '1289442678599952758826858120493', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.386785686263045, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-4.784036479684017, 0.0], 'a8': [0.0, 0.0], 'a9': [2.6967459121501554, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.635718998299005, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [37, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 37], 'central_character': '2960.1', 'coefficient_field': 'CDF', 'conductor': 2960, 'conductor_radical': 370, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.386785686263045, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [4.784036479684017, 0], [7.0, 0]], [[1.0, 0], [-3.1210533096017374, 0], [11.0, 0]], [[1.0, 0], [2.817799221751893, 0], [13.0, 0]], [[1.0, 0], [-6.372459905045396, 0], [17.0, 0]], [[1.0, 0], [0.1143471715644717, 0], [19.0, 0]], 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'7.36371667233005678310950643472018', '8.305364435361646081959876699223223'], 'prelabel': '2-2960-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.861658050325938, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.01719091867096492065771285146', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.78435249631647625495597136897', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.64901556236596374004241939179', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 23.635718998299005, 'bad_primes': [2, 5, 37], 'central_character': '1.1', 'conductor': 2960, 'conductor_radical': 370, 'degree': 2, 'index': 32, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2960/2/a/w/1/2'], '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': '2-2960-1.1-c1-0-32', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-2960-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.861658050325938, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.01719091867096492065771285146', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1289442678599952758826858120493', 'Lhash_array': ['1289442678599952758826858120493'], 'factors': ['2-2960-1.1-c1-0-32'], 'label': '2-2960-1.1-c1-0-32', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2960/2/a/w/1/2'}