Formats: - HTML - YAML - JSON - 2026-07-18T19:14:16.852040
  • lfunc_lfunctions • Show schema
    {'Lhash': '1808663330119967319332154795515', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.18551904185457566, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [4.456507932970668, 0.0], 'a8': [0.0, 0.0], 'a9': [-2.9655826851093603, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 60.68630553617312, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 19], 'central_character': '7600.1', 'coefficient_field': 'CDF', 'conductor': 7600, 'conductor_radical': 190, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.18551904185457566, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-4.456507932970668, 0], [7.0, 0]], [[1.0, 0], [2.6462256540012383, 0], [11.0, 0]], [[1.0, 0], [-1.3014245189900864, 0], [13.0, 0]], [[1.0, 0], [3.517162196559307, 0], [17.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], 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[[1.0, 0], [-7.032903030093492, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 143, 'label': '2-7600-1.1-c1-0-143', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/7600/2/a/ch/1/4', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 27}, 'plot_values': [-1.29261264609479e-60, 0.2190879537117592, 0.4369443614312658, 0.6522963105854133, 0.8637914827863142, 1.0699665250308563, 1.2692244567047886, 1.4598231214977004, 1.6398759862151673, 1.8073658583919672, 1.9601713990859841, 2.096105687022413, 2.212965567710555, 2.3085901024893176, 2.380926112365223, 2.428098578407502, 2.448483501123568, 2.4407807240587656, 2.404084183695079, 2.3379470543753347, 2.242439312818078, 2.1181953537853313, 1.9664494500228022, 1.7890570693641152, 1.588500342735044, 1.3678763199180526, 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'5.95231137339679489208669064878760', '7.06148627034610560416369034643336', '7.57109400360368819232640665556708'], 'prelabel': '2-7600-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.7901415607274505, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.42678379183848712607059082937', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.18747725391138967077014601063', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.04749440188583651494434610165', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 60.68630553617312, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 7600, 'conductor_radical': 190, 'degree': 2, 'index': 143, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7600/2/a/ch/1/4'], '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': '2-7600-1.1-c1-0-143', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-7600-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.7901415607274505, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.42678379183848712607059082937', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '1808663330119967319332154795515', 'Lhash_array': ['1808663330119967319332154795515'], 'factors': ['2-7600-1.1-c1-0-143'], 'label': '2-7600-1.1-c1-0-143', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7600/2/a/ch/1/4'}