Formats: - HTML - YAML - JSON - 2026-08-13T02:57:04.150213
  • lfunc_lfunctions • Show schema
    {'Lhash': '1032867840032519660063807328106', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.5731321849709863, 0.724744871391589], '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': [1.949489742783178, -2.2802389661575337], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.599383156425752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.5731321849709863, -0.724744871391589]]]], 'bad_primes': [2, 3], 'central_character': '576.97', 'coefficient_field': 'CDF', 'conductor': 576, 'conductor_radical': 6, 'conjugate': '1606326615399819319260245067017', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.5731321849709863, -0.724744871391589]], [[1.0, 0], [0, 0], [2.5, -4.330127018922194]], [[1.0, 0], [0, 0], [-3.5, -6.06217782649107]], [[1.0, 0], [0.47675586779367335, 0.27525512860841095], [5.5, 9.526279441628825]], [[1.0, 0], [0, 0], 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'2.46330175380719052421928941062246', '4.04842145871993134739729786189051', '5.23562760360868363589126330285296', '5.90144436765270804372013753934375', '7.05836063559488091313195725305995', '7.66321660509689695294721404044530', '8.816018692075732644476759811071107', '9.985864023866402604814713845559632', '10.57451552438494008863055141547102'], 'prelabel': '2-24e2-72.61-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.144617251731822, 'root_angle': -0.1513089462069186, 'root_number': '0.5811118083357435 - 0.8138237316598491*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.151308946207', 'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.814789059261724674545527029267', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.46330175380719052421928941062', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.04842145871993134739729786189', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 4.599383156425752, 'bad_primes': [2, 3], 'central_character': '72.61', 'conductor': 576, 'conductor_radical': 6, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/2/r/c/97/1'], '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': '2-24e2-72.61-c1-0-5', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-24e2-72.61-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.144617251731822, 'root_angle': -0.1513089462069186, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.814789059261724674545527029267', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1032867840032519660063807328106', 'Lhash_array': ['1032867840032519660063807328106'], 'factors': ['2-24e2-72.61-c1-0-5'], 'label': '2-24e2-72.61-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/576/2/r/c/97/1'}