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lfunc_lfunctions • Show schema
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{'Lhash': '2114223590143025386193647911828', 'a10': [382124551689372600, 32521200019940504], 'a2': [261199.7614200795, 22229.740666358204], 'a3': [0, 296154098.3552941], 'a4': [67731153995.81292, 11612805916.966005], 'a5': [1462959037986.3079, 0], 'a6': [-6583428803717.329, 77355379833981.6], 'a7': [0, -2387293820425513.0], 'a8': [17433211600470096, 4538908123289301.0], 'a9': [62387385324361900, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 32.8365034637428, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '18.0', 'prec': 14}, 'bad_lfactors': [[2, [[1.0, 0], [-261199.7614200795, -22229.740666358204]]]], 'bad_primes': [2], 'central_character': '4.3', 'coefficient_field': 'CDF', 'conductor': 4, 'conductor_radical': 2, 'conjugate': '1355068487643862899180473804152', 'degree': 2, 'euler_factors': [[[1.0, 0], [-261199.7614200795, -22229.740666358204]], [[1.0, 0], [0, -296154098.3552941], [-150094635296999140, 0]], [[1.0, 0], [-1462959037986.3079, 0], 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'data': '1.66782833515984445829227209120', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.49806010945054053509721309488', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.70394974500679176404194006159', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 32.8365034637428, 'bad_primes': [2], 'central_character': '4.3', 'conductor': 4, 'conductor_radical': 2, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4/37/b/b/3/16'], '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': '2-2e2-4.3-c36-0-13', 'motivic_weight': 36, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [36], 'order_of_vanishing': 0, 'prelabel': '2-2e2-4.3-c36-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.730314429744916, 'root_angle': 0.027025048434634383, 'self_dual': False, 'spectral_label': 'c36-0', 'z1': {'__RealLiteral__': 0, 'data': '1.66782833515984445829227209120', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2114223590143025386193647911828', 'Lhash_array': ['2114223590143025386193647911828'], 'label': '2-2e2-4.3-c36-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4/37/b/b/3/16'}