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lfunc_lfunctions • Show schema
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{'Lhash': '1015989474219065222261632896052', 'a10': [0.024450402388123984, 0.0], 'a2': [0.024450402388123984, 0.0], 'a3': [-1.0, 0.0], 'a4': [-1.9994021778230588, 0.0], 'a5': [1.0, 0.0], 'a6': [-0.024450402388123984, 0.0], 'a7': [1.1204282905526985, 0.0], 'a8': [-0.09778699255971318, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 63.361294003886016, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [23, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5, 23], 'central_character': '7935.1', 'coefficient_field': 'CDF', 'conductor': 7935, 'conductor_radical': 345, 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.024450402388123984, 0], [2.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.1204282905526985, 0], [7.0, 0]], [[1.0, 0], [2.778691260339433, 0], [11.0, 0]], [[1.0, 0], [-2.873126016043898, 0], [13.0, 0]], [[1.0, 0], [-7.290089330847609, 0], 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[[1.0, 0], [-11.338713167938907, 0], [109.0, 0]], [[1.0, 0], [2.813356247033332, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 118, 'label': '2-7935-1.1-c1-0-118', 'leading_term': '1.8012368043457394872111122978462', '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': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/7935/2/a/bu/1/12', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 27}, 'plot_values': [1.8012368043457394, 1.7938276303602811, 1.7716130398573553, 1.7346374586255253, 1.6829932920416155, 1.616847074728316, 1.5364734214773608, 1.4422944008911809, 1.3349216238484665, 1.2151981986213354, 1.0842377357487978, 0.9434577579077262, 0.794605147219098, 0.6397716105858817, 0.4813975347914674, 0.3222630171256276, 0.16546528178270603, 0.01438212066747948, -0.12737857326559274, -0.2560426827131028, 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'3.49641456530888082188847307290254', '4.60438658434520564803343338853229', '4.98257955302543880439247045502104', '5.85198935822279363107540303021633', '6.00796873093662288607408060527911', '7.36499840716859848403846247740869', '7.83959949412016363816757689110192'], 'prelabel': '2-7935-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.959980779115362, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.801474376327471627463806331905', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.37131504083343425156349252882', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.87112860198362954869538461640', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 63.361294003886016, 'bad_primes': [3, 5, 23], 'central_character': '1.1', 'conductor': 7935, 'conductor_radical': 345, 'degree': 2, 'index': 118, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7935/2/a/bu/1/12'], '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': '2-7935-1.1-c1-0-118', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-7935-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.959980779115362, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.801474376327471627463806331905', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1015989474219065222261632896052', 'Lhash_array': ['1015989474219065222261632896052'], 'factors': ['2-7935-1.1-c1-0-118'], 'label': '2-7935-1.1-c1-0-118', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7935/2/a/bu/1/12'}