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lfunc_lfunctions • Show schema
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{'Lhash': '3523653716894651740829187320590', 'a10': [-5.528608480538293, -0.5464223729221266], 'a2': [2.4302229852316337, 0.516559841832293], 'a3': [0.8103934293932568, -1.5307718607278606], 'a4': [3.8120587724691473, 1.6972379155853108], 'a5': [-2.222325628619783, 0.24752535300386208], 'a6': [2.76017200945109, -3.3015002593773337], 'a7': [-0.6445266361992711, 1.1163528807285994], 'a8': [4.367397194277155, 3.173099798333644], 'a9': [-1.6865249791924732, -2.4810549156678956], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.8103934293932568, 1.5307718607278606]]], [5, [[1.0, 0], [2.222325628619783, -0.24752535300386208]]]], 'bad_primes': [3, 5], 'central_character': '225.106', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '3199718019095827130462145742107', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'0.9996651855159612 + 0.025875024006537486*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0041185976389', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.77967266079489783154697302563', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.69207246515493831255320803557', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.59531327440372357915460960210', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'bad_primes': [3, 5], 'central_character': '225.106', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/2/q/a/106/27'], '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': '2-15e2-225.106-c1-0-24', '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': '2-15e2-225.106-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323886, 'root_angle': 0.004118597638903813, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.77967266079489783154697302563', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3523653716894651740829187320590', 'Lhash_array': ['3523653716894651740829187320590'], 'label': '2-15e2-225.106-c1-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/2/q/a/106/27'}