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lfunc_lfunctions • Show schema
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{'Lhash': '2295735499984758814892337474962', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [1.3955478489502045, -3.3691505438761826], 'a6': [0, 0], 'a7': [1.0575470696562412, -1.0575470696562412], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.198766312851504, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '1152.143', 'coefficient_field': 'CDF', 'conductor': 1152, 'conductor_radical': 6, 'conjugate': '1057403939397717870183144537977', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.3955478489502045, 3.3691505438761826], [-3.5355339059327378, -3.5355339059327378]], [[1.0, 0], [-1.0575470696562412, 1.0575470696562412], [0, -7.0]], [[1.0, 0], [-1.5097657269880675, 3.644896894100668], [-7.7781745930520225, -7.7781745930520225]], [[1.0, 0], 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'2-1152-96.59-c1-0-14', 'leading_term': '1.8400233505455537598707933004900651900813314171557468878', '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/1152/2/w/a/143/8', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0625', 'prec': 20}, 'plot_values': [1.8400233505455537, 1.9514957009239253, 2.0603377147173956, 2.1663006288011317, 2.2688068079746304, 2.366935411053019, 2.4594300316876234, 2.5447265528856606, 2.6209984192274556, 2.6862160630269134, 2.738217208500833, 2.7747850428359477, 2.7937316073145593, 2.792984092160422, 2.7706719412956327, 2.7252127665180397, 2.6553950507479427, 2.5604555235767457, 2.440148963443942, 2.2948080623932055, 2.1253909189762736, 1.9335137325522578, 1.7214663802881216, 1.4922087814607397, 1.2493463000354132, 0.9970829071670304, 0.7401514151066954, 0.4837207917211803, 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'7.50192119538447002158049581312280', '8.194686308311842752578151434887961', '9.537764642497345835864631114191450', '10.09984490046391261106805444609794'], 'prelabel': '2-1152-96.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.032946803498456, 'root_angle': 0.5398719534570894, 'root_number': '-0.12493412537547565328957162946552378943494401780352713427 + 0.99216503885022320940272162748568162251532833121386942433*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.2699359767285447', 'prec': 60}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.81101598466598897252212571991', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.66604584951215502367556389529', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.72522352999752796687323841596', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.198766312851504, 'bad_primes': [2, 3], 'central_character': '96.59', 'conductor': 1152, 'conductor_radical': 6, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1152/2/w/a/143/8'], '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': '2-1152-96.59-c1-0-14', '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': '2-1152-96.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.032946803498456, 'root_angle': 0.2699359767285447, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.81101598466598897252212571991', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2295735499984758814892337474962', 'Lhash_array': ['2295735499984758814892337474962'], 'label': '2-1152-96.59-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1152/2/w/a/143/8'}