Formats: - HTML - YAML - JSON - 2026-08-16T00:45:10.919983
  • lfunc_lfunctions • Show schema
    {'Lhash': '1741638537722744818451590769164', 'a10': [211.37806115282262, 0.0], 'a2': [8.455122446112904, 0.0], 'a3': [-26.775479849487027, 0.0], 'a4': [39.489095578762274, 0.0], 'a5': [25.0, 0.0], 'a6': [-226.38996068084154, 0.0], 'a7': [-22.292731177966708, 0.0], 'a8': [63.321220129077815, 0.0], 'a9': [473.9263211702858, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 97.0322109868533, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 7}, 'bad_lfactors': [[5, [[1.0, 0], [-25.0, 0]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 11], 'central_character': '605.1', 'coefficient_field': 'CDF', 'conductor': 605, 'conductor_radical': 55, 'degree': 2, 'euler_factors': [[[1.0, 0], [-8.455122446112904, 0], [32.0, 0]], [[1.0, 0], [26.775479849487027, 0], [243.0, 0]], [[1.0, 0], [-25.0, 0]], [[1.0, 0], [22.292731177966708, 0], [16807.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-225.5471161503267, 0], [371293.0, 0]], [[1.0, 0], [-1059.588972703187, 0], 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'2.87070890092430470536654303694977', '4.24265699994820790018178090372919', '4.83087662348105405172048317710352', '5.79787850922451761867342062210894', '6.26655371184867067912362779070924', '6.91698830639533776981897897029092', '8.475975536948948586191931591103663', '9.958985699740640419752440082479028'], 'prelabel': '2-605-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.850492931161025, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.37391055343576379416452935111', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.87070890092430470536654303695', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.24265699994820790018178090373', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 97.0322109868533, 'bad_primes': [5, 11], 'central_character': '1.1', 'conductor': 605, 'conductor_radical': 55, 'degree': 2, 'index': 139, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/605/6/a/b/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': '2-605-1.1-c5-0-139', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-605-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.850492931161025, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.37391055343576379416452935111', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1741638537722744818451590769164', 'Lhash_array': ['1741638537722744818451590769164'], 'factors': ['2-605-1.1-c5-0-139'], 'label': '2-605-1.1-c5-0-139', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/605/6/a/b/1/3'}