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lfunc_lfunctions • Show schema
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{'Lhash': '1399080899442169197283267597995', 'a10': [-8.965871221451627, -17.345261752240607], 'a2': [-1.3469211103913563, -1.478446320426317], 'a3': [1.6730326074756159, -0.4482877360840268], 'a4': [-0.37160704476423184, 3.9827011191252595], 'a5': [9.430089908913747, 2.5267849756463177], 'a6': [-2.9162122912876756, -1.8696806872144462], 'a7': [-5.2206864372587996, 4.663092656576966], 'a8': [6.388735188291604, -4.814983145752915], 'a9': [2.598076211353316, -1.5], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.155336882505978, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3469211103913563, 1.478446320426317]]], [3, [[1.0, 0], [-1.6730326074756159, 0.4482877360840268]]], [7, [[1.0, 0], [5.2206864372587996, -4.663092656576966]]]], 'bad_primes': [2, 3, 7], 'central_character': '336.325', 'coefficient_field': 'CDF', 'conductor': 336, 'conductor_radical': 42, 'conjugate': '2124660844629085665052464769740', 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['1.10368022481137698363478089756036', '2.51925158339313203563172527230684', '4.50805369685424559515978598675705', '5.76848356331670421136479332780804', '6.41642699192760091095368775043648', '7.56026081573711616899766444108735', '8.757621995181712368215566475927005', '9.482235276833899297906462381922674', '9.999802241021784730090337718384630', '10.72153152216386075116115847839733'], 'prelabel': '2-336-112.101-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.0257787233216473, 'root_angle': -0.00484561778315227, 'root_number': '0.9998841330241872 - 0.015222369279107827*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.00242280889158', 'prec': 57}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.10368022481137698363478089756', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.51925158339313203563172527231', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.50805369685424559515978598676', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.155336882505978, 'bad_primes': [2, 3, 7], 'central_character': '112.101', 'conductor': 336, 'conductor_radical': 42, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/336/3/bv/a/325/18'], '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': '2-336-112.101-c2-0-24', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-336-112.101-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.0257787233216473, 'root_angle': -0.002422808891576135, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.10368022481137698363478089756', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1399080899442169197283267597995', 'Lhash_array': ['1399080899442169197283267597995'], 'label': '2-336-112.101-c2-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/336/3/bv/a/325/18'}