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lfunc_lfunctions • Show schema
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{'Lhash': '2906172638727010925656648571407', 'a10': [1133.8989437958182, -1264.9750657930276], 'a2': [5.339794534910235, -5.9570625584211205], 'a3': [0.0, 0.0], 'a4': [-6.973188649885578, -63.61898018715097], 'a5': [212.34879664052087, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 87.6116365919234], 'a8': [-416.2176395213692, -298.17256170087074], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.281947010314637, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-5.339794534910235, 5.9570625584211205]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '36.19', 'coefficient_field': 'CDF', 'conductor': 36, 'conductor_radical': 6, 'conjugate': '1819851259548269462987199821510', 'degree': 2, 'euler_factors': [[[1.0, 0], [-5.339794534910235, 5.9570625584211205]], [[1.0, 0], [0, 0]], [[1.0, 0], [-212.34879664052087, 0], [15625.0, 0]], [[1.0, 0], [0, -87.6116365919234], [-117649.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.281947010314637, 'bad_primes': [2, 3], 'central_character': '4.3', 'conductor': 36, 'conductor_radical': 6, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/36/7/d/e/19/3'], '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': '2-6e2-4.3-c6-0-11', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-6e2-4.3-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.877837210530616, 'root_angle': 0.2326246076651707, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '2.29256597851472634848161538925', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2906172638727010925656648571407', 'Lhash_array': ['2906172638727010925656648571407'], 'label': '2-6e2-4.3-c6-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/36/7/d/e/19/3'}