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lfunc_lfunctions • Show schema
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{'Lhash': '3183627088817557613190079134571', 'a10': [0.0, 0.0], 'a2': [0.3826834323650898, -0.9238795325112867], 'a3': [0.0, 0.0], 'a4': [-0.7071067811865476, -0.7071067811865476], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.9238795325112867, -0.3826834323650898], 'a8': [-0.9238795325112867, 0.3826834323650898], 'a9': [0.9238795325112867, -0.3826834323650898], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.2235811256595851, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.3826834323650898, 0.9238795325112867]]], [7, [[1.0, 0], [0.9238795325112867, 0.3826834323650898]]]], 'bad_primes': [2, 7], 'central_character': '448.181', 'coefficient_field': 'CDF', 'conductor': 448, 'conductor_radical': 14, 'conjugate': '1615191632615416884707447222964', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.3826834323650898, 0.9238795325112867]], [[1.0, 0], [0, 0], [-0.9238795325112867, 0.3826834323650898]], [[1.0, 0], [0, 0], 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'group': 'GL2', 'index': 0, 'label': '2-448-448.181-c0-0-0', 'leading_term': '0.91536279972425009267525510008164', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/448/1/bf/a/181/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.07421875', 'prec': 34}, 'plot_values': [0.91536279972425, 0.968093906022474, 1.0419297551375954, 1.1373708494965935, 1.2536397657895617, 1.3890909742235429, 1.541569667012334, 1.7086334890685593, 1.8876472737635681, 2.0757968372402478, 2.2700651631609388, 2.467200094024324, 2.6636899954519855, 2.8557556595995, 3.039362096993932, 3.210251416799866, 3.363996671426096, 3.4960757306317736, 3.6019636346782384, 3.677241307000931, 3.717717926993656, 3.7195636633337146, 3.6794488635234726, 3.5946852150300956, 3.4633638735643095, 3.284485133714259, 3.058073935715757, 2.7852753969714827, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.2235811256595851, 'bad_primes': [2, 7], 'central_character': '448.181', 'conductor': 448, 'conductor_radical': 14, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/448/1/bf/a/181/1'], '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': '2-448-448.181-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-448-448.181-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.47284365879176715, 'root_angle': 0.296875, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.51143894717075304928801970058', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3183627088817557613190079134571', 'Lhash_array': ['3183627088817557613190079134571'], 'label': '2-448-448.181-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/448/1/bf/a/181/1'}