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lfunc_lfunctions • Show schema
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{'Lhash': '1692425719847558508846883352874', 'a10': [2.184698293387646, -0.47654314271543835], 'a2': [0.5877852522924731, 0.8090169943749475], 'a3': [-0.5877852522924731, 0.8090169943749475], 'a4': [-0.30901699437494745, 0.9510565162951535], 'a5': [0.8986019365521575, -2.0475630783017924], 'a6': [-1.0, -5.034525116044599e-61], 'a7': [2.0437834971260638, 0.6640655130520275], 'a8': [-0.9510565162951535, 0.30901699437494745], 'a9': [-0.30901699437494745, -0.9510565162951535], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.426087387979079, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5877852522924731, -0.8090169943749475]]], [3, [[1.0, 0], [0.5877852522924731, -0.8090169943749475]]], [5, [[1.0, 0], [-0.8986019365521575, 2.0475630783017924]]], [31, [[1.0, 0], [-5.5666771100309, 0.11002705420952386]]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '930.109', 'coefficient_field': 'CDF', 'conductor': 930, 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[[1.0, 0], [0.6807014383540799, -2.094983610553867], [-72.00251249937033, -52.31288745403011]], [[1.0, 0], [-8.252151134612554, -2.681286439926344], [78.4746484543699, 57.01516947236989]], [[1.0, 0], [1.1102305279059774, 3.4169382182056176], [-81.71071643186968, 59.366310481539784]], [[1.0, 0], [4.108236436468387, 5.6545023561760095], [-31.828750420619585, 97.95882117840081]], [[1.0, 0], [-3.433738563961327, 1.1156892911455303], [86.56481839811937, -62.893021995294625]], [[1.0, 0], [14.233805731082247, 10.34146519899769], [33.68285238686927, 103.66516027617173]], [[1.0, 0], [18.95174000714869, 6.15779360620777], [91.41892036436906, 66.41973350904946]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 17, 'label': '2-930-155.109-c1-0-17', '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': 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'0.8453883212993868 - 0.53415221258608*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0896845411427', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.33508848537826753119815615254', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.35899352380297199709196602065', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.51737185609202302629968068531', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.426087387979079, 'bad_primes': [2, 3, 5, 31], 'central_character': '155.109', 'conductor': 930, 'conductor_radical': 930, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/930/2/z/b/109/3'], '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': '2-930-155.109-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': '2-930-155.109-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7250848405103056, 'root_angle': -0.08968454114269567, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.33508848537826753119815615254', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1692425719847558508846883352874', 'Lhash_array': ['1692425719847558508846883352874'], 'label': '2-930-155.109-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/930/2/z/b/109/3'}