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lfunc_lfunctions • Show schema
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{'Lhash': '2398987947447529126049277926678', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0.3529776354319595, -0.8521633946742225], 'a6': [0, 0], 'a7': [3.4339317323434555, -3.4339317323434555], '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': '958189071515353034473563820128', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.3529776354319595, 0.8521633946742225], [-3.5355339059327378, -3.5355339059327378]], [[1.0, 0], [-3.4339317323434555, 3.4339317323434555], [0, -7.0]], [[1.0, 0], [-1.4465005843888257, 3.4921613288121107], [-7.7781745930520225, -7.7781745930520225]], [[1.0, 0], 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'2-1152-96.59-c1-0-15', 'leading_term': '1.724569264681940203245769404105633352447537084638703988', '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/b/143/5', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [1.7245692646819402, 1.8297174105350769, 1.931990789935446, 2.031266770824063, 2.127177382908517, 2.2190977032430483, 2.3061493068443877, 2.3872177990842984, 2.460982744716464, 2.5259579309960216, 2.58053980840888, 2.6230620557553963, 2.651854419066324, 2.6653041927406513, 2.661918890332127, 2.6403887644489727, 2.599647876779877, 2.5389324026025712, 2.4578347998754144, 2.356352404436447, 2.2349289522742066, 2.0944874967377682, 1.9364531986639786, 1.762764532587684, 1.575871580587429, 1.3787202814918924, 1.1747217683835378, 0.9677062596572664, 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'9.117801198360068032300132909032120', '9.977289837658620904511166866726455'], 'prelabel': '2-1152-96.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.032946803498456, 'root_angle': 0.5172769860673836, 'root_number': '-0.05425060611764136057623435436652953672374503210925994241 + 0.9985273515211631566568370487131742029994860180530128725*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.2586384930336918', 'prec': 60}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.89246780383775492381544788051', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.35739311081653149310153287946', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.07619842007228070376011431971', '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': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1152/2/w/b/143/5'], '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-c1-0-15', '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': 0.2586384930336918, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.89246780383775492381544788051', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2398987947447529126049277926678', 'Lhash_array': ['2398987947447529126049277926678'], 'label': '2-1152-96.59-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1152/2/w/b/143/5'}