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lfunc_lfunctions • Show schema
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{'Lhash': '1234658707402081111966601583380', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [3.414213562373095, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 57.4922894553219, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '7200.7199', 'coefficient_field': 'CDF', 'conductor': 7200, 'conductor_radical': 30, 'conjugate': '722847188528735054981965091875', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-3.414213562373095, 0], [7.0, 0]], [[1.0, 0], [2.585786437626905, 0], [11.0, 0]], [[1.0, 0], [0, 3.414213562373095], [-13.0, 0]], [[1.0, 0], [1.17157287525381, 0], [17.0, 0]], [[1.0, 0], [0, 0], [-19.0, 0]], [[1.0, 0], [0, 4.82842712474619], [-23.0, 0]], [[1.0, 0], [0, -6.0], [-29.0, 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'5.28808586165357160690146539223618', '5.74615949558397321273654608372433', '6.71963448375343254550791464393532', '7.47293875568047058349686186044669', '8.018798052793064878721982525616287'], 'prelabel': '2-7200-60.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.582367008746141, 'root_angle': 0.29832965836487035, 'root_number': '0.5920224834064280058835298190228792108490027760589904139 + 0.8059214472523272391355874761196287746749394753507559760*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.14916482918243518', 'prec': 64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.973973985560210054859624720364', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.04325776151440029301829325033', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.57826000951774508594017075066', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 57.4922894553219, 'bad_primes': [2, 3, 5], 'central_character': '60.59', 'conductor': 7200, 'conductor_radical': 30, 'degree': 2, 'index': 45, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7200/2/o/j/7199/3'], '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': '2-7200-60.59-c1-0-45', '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': '2-7200-60.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.582367008746141, 'root_angle': 0.14916482918243518, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.973973985560210054859624720364', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1234658707402081111966601583380', 'Lhash_array': ['1234658707402081111966601583380'], 'label': '2-7200-60.59-c1-0-45', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7200/2/o/j/7199/3'}