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              lfunc_lfunctions •   Show schema
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        {'Lhash': '1868199062773723232280770554560', 'a10': [1.0, 0.0], 'a2': [1.0, 0.0], 'a3': [3.12849917967708, 0.0], 'a4': [1.0, 0.0], 'a5': [1.0, 0.0], 'a6': [3.12849917967708, 0.0], 'a7': [-0.19365674342358463, 0.0], 'a8': [1.0, 0.0], 'a9': [6.787507117240162, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 37.76924015606564, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [11, [[1.0, 0], [1.0, 0]]], [43, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 11, 43], 'central_character': '4730.1', 'coefficient_field': 'CDF', 'conductor': 4730, 'conductor_radical': 4730, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [-3.12849917967708, 0], [3.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0.19365674342358463, 0], [7.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-6.249717745430532, 0], [13.0, 0]], [[1.0, 0], [-4.69490731540375, 0], [17.0, 0]], [[1.0, 0], 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0], [109.0, 0]], [[1.0, 0], [16.106029062912935, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 117, 'label': '2-4730-1.1-c1-0-117', 'leading_term': '7.1304676739024271112391282649166', '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/4730/2/a/be/1/12', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 34}, 'plot_values': [7.1304676739024275, 7.122544601197679, 7.098593327957855, 7.0580805697089835, 7.000159573144908, 6.9237302173871615, 6.827517560062723, 6.7101640038175825, 6.570329805053305, 6.4067966338603535, 6.218569231083054, 6.004970777057582, 5.765728270914187, 5.501044926174216, 5.211657256446923, 4.898875124841098, 4.564603558116631, 4.21134559394421, 3.8421858570702447, 3.4607549688031516, 3.071175301507057, 2.6779890070319285, 2.2860696795349993, 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'4.19242288012464573151339029146351', '5.38096135520647808054760734205588', '6.06020433320541590949023286585319', '6.96289758480569140135735006426421', '7.61861530705069056726716806354332', '8.467551501846777607759061898799463'], 'prelabel': '2-4730-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.145668405964126, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.47374920379272516696865367168', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.05726273503079414713591679882', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.10075796695319383267878775483', 'prec': 103}}
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              lfunc_search •   Show schema
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        {'algebraic': True, 'analytic_conductor': 37.76924015606564, 'bad_primes': [2, 5, 11, 43], 'central_character': '1.1', 'conductor': 4730, 'conductor_radical': 4730, 'degree': 2, 'index': 117, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4730/2/a/be/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': '2-4730-1.1-c1-0-117', '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': '2-4730-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.145668405964126, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47374920379272516696865367168', 'prec': 103}}
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              lfunc_instances •   Show schema
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        {'Lhash': '1868199062773723232280770554560', 'Lhash_array': ['1868199062773723232280770554560'], 'factors': ['2-4730-1.1-c1-0-117'], 'label': '2-4730-1.1-c1-0-117', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4730/2/a/be/1/12'}