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lfunc_lfunctions • Show schema
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{'Lhash': '2008808518188289622037636181412', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, -0.9364263849242712], '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': '7200.4751', 'coefficient_field': 'CDF', 'conductor': 7200, 'conductor_radical': 30, 'conjugate': '81594263302296917787168631846', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0.9364263849242712], [-7.0, 0]], [[1.0, 0], [0, 2.208369166236103], [-11.0, 0]], [[1.0, 0], [0, 3.335132025215443], [-13.0, 0]], [[1.0, 0], [0, 1.5441735238993373], [-17.0, 0]], [[1.0, 0], [3.1231056256176606, 0], [19.0, 0]], [[1.0, 0], [-3.3922820486406136, 0], [23.0, 0]], [[1.0, 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0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 72, 'label': '2-7200-24.11-c1-0-72', 'leading_term': '0.2627067685519356854538278855853165569058168620702003953', '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/7200/2/b/i/4751/5', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 34}, 'plot_values': [0.2627067685519357, 0.4762878173772045, 0.6937593581244124, 0.9135057325342962, 1.1337882346924504, 1.3526968246656725, 1.5681139681627627, 1.777694282275401, 1.978862506759794, 2.168831097004295, 2.3446375596423943, 2.5032006000995333, 2.6413932610254327, 2.756130508462623, 2.844468155756146, 2.90370958209869, 2.931516382134844, 2.9260188600588375, 2.8859221491116833, 2.81060369612882, 2.7001979076036555, 2.5556639188369275, 2.378832732111579, 2.172430382768262, 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'5.50369512325729117782879023610322', '6.23688560257968112679237003999321', '7.08371336778247011214396069018041', '7.36597369729889712264484649526098', '8.515502012195525237380832607526786'], 'prelabel': '2-7200-24.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.582367008746141, 'root_angle': -0.8793031992147309, 'root_number': '-0.92896841049752812122887960811970189568356325866355106586 - 0.3701590094779486578799866218363682441990828550681457832*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.43965159960736544', 'prec': 67}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.58467050607369350897397069048', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.14404438397735096041946521377', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.24171587444243430111768452338', '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': '24.11', 'conductor': 7200, 'conductor_radical': 30, 'degree': 2, 'index': 72, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7200/2/b/i/4751/5'], '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': '2-7200-24.11-c1-0-72', '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': '2-7200-24.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.582367008746141, 'root_angle': -0.43965159960736544, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.58467050607369350897397069048', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2008808518188289622037636181412', 'Lhash_array': ['2008808518188289622037636181412'], 'label': '2-7200-24.11-c1-0-72', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7200/2/b/i/4751/5'}