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lfunc_lfunctions • Show schema
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{'Lhash': '2529081332284105548551253546357', 'a10': [-0.1379449547955558, -0.11952998374977894], 'a2': [-0.998867339183008, 0.0475819158237423], 'a3': [-0.2822579158961275, 1.7088974424797923], 'a4': [0.9954719225730846, -0.09505604330418266], 'a5': [0.13210124432516188, 0.12595828204812193], 'a6': [0.20062559915502412, -1.720392213701192], 'a7': [-0.6817589026584727, -3.53730108035542], 'a8': [-0.9898214418809327, 0.14231483827328514], 'a9': [-2.8406609378279493, -0.964699661189137], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.3058066436810094, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.998867339183008, -0.0475819158237423]]], [3, [[1.0, 0], [0.2822579158961275, -1.7088974424797923]]], [23, [[1.0, 0], [2.6119299471519852, -4.022166325647241]]]], 'bad_primes': [2, 3, 23], 'central_character': '414.11', 'coefficient_field': 'CDF', 'conductor': 414, 'conductor_radical': 138, 'conjugate': 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'rational': False, 'root_analytic_conductor': 1.8181877360935557, 'root_angle': 0.655563124301009, 'root_number': '-0.46949255730608436 + 0.8829364295543554*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.327781562151', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.99509338916320205142687327998', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.81577947988378801848003377598', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.07346221721947134637278141080', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.3058066436810094, 'bad_primes': [2, 3, 23], 'central_character': '207.11', 'conductor': 414, 'conductor_radical': 138, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/414/2/p/a/11/6'], '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': '2-414-207.11-c1-0-17', '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': '2-414-207.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8181877360935557, 'root_angle': 0.3277815621505045, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.99509338916320205142687327998', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2529081332284105548551253546357', 'Lhash_array': ['2529081332284105548551253546357'], 'label': '2-414-207.11-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/414/2/p/a/11/6'}