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lfunc_lfunctions • Show schema
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{'Lhash': '1752222352714588661225088433422', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.5, 1.8660254037844386], 'a4': [0.0, 0.0], 'a5': [2.0, 1.0], 'a6': [0.0, 0.0], 'a7': [1.8660254037844386, -3.232050807568877], 'a8': [0.0, 0.0], 'a9': [-0.6339745962155614, -0.36602540378443865], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-2.0, -1.0]]], [13, [[1.0, 0], [-2.0, -3.0]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.93', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '2552889684399529837166029632747', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.5, -1.8660254037844386], [-2.598076211353316, -1.5]], [[1.0, 0], [-2.0, -1.0]], [[1.0, 0], [-1.8660254037844386, 3.232050807568877], [-3.5, -6.06217782649107]], [[1.0, 0], [0.5980762113533159, 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[4.794228634059948, -2.767949192431123], [33.5, -58.023702053557386]], [[1.0, 0], [-1.1339745962155614, -4.232050807568878], [-61.48780366869514, 35.5]], [[1.0, 0], [0, 12.928203230275509], [-73.0, 0]], [[1.0, 0], [0, 4.535898384862246], [-79.0, 0]], [[1.0, 0], [-3.4641016151377544, 0], [83.0, 0]], [[1.0, 0], [14.794228634059948, 3.9641016151377544], [77.07626093681505, 44.5]], [[1.0, 0], [-3.866025403784439, -2.232050807568877], [48.5, 84.00446416709055]], [[1.0, 0], [-1.5, 0.8660254037844386], [50.5, -87.4685657822283]], [[1.0, 0], [6.660254037844386, -6.660254037844386], [0, -103.0]], [[1.0, 0], [5.964101615137754, 1.598076211353316], [92.66471820493493, 53.5]], [[1.0, 0], [9.392304845413264, 9.392304845413264], [0, 109.0]], [[1.0, 0], [-13.160254037844387, 3.5262794416288252], [97.86087062764156, -56.5]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 3, 'label': '2-260-65.28-c1-0-3', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': 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'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.35516599680618277, 'root_number': '0.43947079375096676 - 0.8982568794280928*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.177582998403', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.38225971131092144365299955548', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.62721635842540548966459577979', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.89362049532440699378101056381', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '65.28', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/bf/a/93/1'], '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': '2-260-65.28-c1-0-3', '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': '2-260-65.28-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.17758299840309139, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.38225971131092144365299955548', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1752222352714588661225088433422', 'Lhash_array': ['1752222352714588661225088433422'], 'label': '2-260-65.28-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/bf/a/93/1'}