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lfunc_lfunctions • Show schema
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{'Lhash': '1592259393528912093141050265239', 'a10': [-1.2732250771449818, -3.95426025012332], 'a2': [-1.4142085822500137, -0.0037531174250958936], 'a3': [0.5877852522924731, 0.8090169943749475], 'a4': [1.999971828219187, 0.01061538174552537], 'a5': [0.9077233171412353, 2.7936851094756916], 'a6': [-0.8282146125332176, -1.1463248037037548], 'a7': [-2.118231232052059, -1.5389850742350133], 'a8': [-2.828337482951621, -0.02251849308657243], 'a9': [-0.30901699437494745, 0.9510565162951535], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.0540253066809016, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.4142085822500137, 0.0037531174250958936]]], [3, [[1.0, 0], [-0.5877852522924731, -0.8090169943749475]]], [11, [[1.0, 0], [-0.9003188315809736, -3.192088031602617]]]], 'bad_primes': [2, 3, 11], 'central_character': '132.79', 'coefficient_field': 'CDF', 'conductor': 132, 'conductor_radical': 66, 'conjugate': 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[-67.14841053312064, 48.78617594027527]], [[1.0, 0], [-6.420780771809243, 0], [89.0, 0]], [[1.0, 0], [4.484376094777304, -13.801490481398364], [-78.4746484543699, -57.01516947236989]], [[1.0, 0], [17.080671274265192, 5.549846521888375], [81.71071643186968, 59.366310481539784]], [[1.0, 0], [6.002363612028873, -8.26154475569059], [-31.828750420619585, -97.95882117840081]], [[1.0, 0], [5.5626041293838355, -4.0414684664555915], [33.06481839811937, -101.76304724358143]], [[1.0, 0], [0, 3.4442978899970917], [-109.0, 0]], [[1.0, 0], [2.733997971809319, -1.986365797999872], [34.91892036436906, -107.46938634135235]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 0, 'label': '2-132-44.35-c1-0-0', '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/132/2/j/a/79/1', 'plot_delta': {'__RealLiteral__': 0, 'data': 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'data': '-0.189408745862', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.25607118652587686070830206193', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.18329847202590718482204167675', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.65659277652307935666377645694', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.0540253066809016, 'bad_primes': [2, 3, 11], 'central_character': '44.35', 'conductor': 132, 'conductor_radical': 66, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/132/2/j/a/79/1'], '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': '2-132-44.35-c1-0-0', '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': '2-132-44.35-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0266573462849724, 'root_angle': -0.18940874586189105, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.25607118652587686070830206193', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1592259393528912093141050265239', 'Lhash_array': ['1592259393528912093141050265239'], 'label': '2-132-44.35-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/132/2/j/a/79/1'}