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lfunc_lfunctions • Show schema
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{'Lhash': '2846563420851155042427989250815', 'a10': [0.22606338140915952, -2.2246112801084728], 'a2': [0.8090169943749475, -0.5877852522924731], 'a3': [0.4012281994997156, -1.234853424250743], 'a4': [0.30901699437494745, -0.9510565162951535], 'a5': [1.4904828198971158, -1.6668716098102883], 'a6': [-0.4012281994997156, -1.234853424250743], 'a7': [-2.356557458134879, 0.0], 'a8': [-0.30901699437494745, -0.9510565162951535], 'a9': [1.0631720718148403, 0.7724397247610512], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.58578819202164, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8090169943749475, 0.5877852522924731]]], [5, [[1.0, 0], [-1.4904828198971158, 1.6668716098102883]]], [19, [[1.0, 0], [-0.30901699437494745, -0.9510565162951535]]]], 'bad_primes': [2, 5, 19], 'central_character': '950.761', 'coefficient_field': 'CDF', 'conductor': 950, 'conductor_radical': 190, 'conjugate': 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[-2.0014219546686687, -6.159743400824878], [-67.14841053312064, 48.78617594027527]], [[1.0, 0], [-12.544682346475279, 9.114245225032372], [27.502512499370322, -84.64402995026867]], [[1.0, 0], [-2.846839931693155, 8.761672390745147], [-78.4746484543699, -57.01516947236989]], [[1.0, 0], [-18.228423632540082, 0], [101.0, 0]], [[1.0, 0], [2.1287182882898956, -6.551521231153696], [-83.32875042061958, -60.54188098612473]], [[1.0, 0], [-0.15848970906532892, 0], [107.0, 0]], [[1.0, 0], [6.719680435975708, 4.882133611341956], [33.68285238686927, 103.66516027617173]], [[1.0, 0], [2.991983300073883, 2.173803110585501], [34.91892036436906, 107.46938634135235]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 37, 'label': '2-950-25.11-c1-0-37', '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/950/2/h/e/761/7', 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{'__RealLiteral__': 0, 'data': '0.412235762579', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.24554259694166215792635688324', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.26512586546544989574423183614', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.09262917884539483591762933165', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.58578819202164, 'bad_primes': [2, 5, 19], 'central_character': '25.11', 'conductor': 950, 'conductor_radical': 190, 'degree': 2, 'index': 37, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/950/2/h/e/761/7'], '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': '2-950-25.11-c1-0-37', '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': '2-950-25.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7542309619967678, 'root_angle': 0.41223576257895356, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.24554259694166215792635688324', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2846563420851155042427989250815', 'Lhash_array': ['2846563420851155042427989250815'], 'label': '2-950-25.11-c1-0-37', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/950/2/h/e/761/7'}