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  • lfunc_lfunctions • Show schema
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'10.57792832053785581881922710506413', '11.10278389611812252158336234987584', '11.25371417326831635815340307304036', '11.52480234807233674245903653776041', '12.03052077225610577370585825443013'], 'prelabel': '8-288e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.1222020913164, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3e4-0', 'trace_hash': 1024420417015049746, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.11598757161119102119435961137', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '0.76095503809034163300793139936', 'prec': 97}, 'z3': {'__RealLiteral__': 0, 'data': '1.19651747452334224848339462325', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 83374.69041576255, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 6879707136, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 420, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 520, 0, 0, 0], 'euler11': [1, 0, -2444, 0, 5036406, 0, -4329695084, 0, 3138428376721], 'euler13': [1, 0, -1748, 0, 10417494, 0, -8437262132, 0, 23298085122481], 'euler17': [1, 0, 8388, 0, 65864774, 0, 202465928772, 0, 582622237229761], 'euler19': [1, 0, 724, 0, 94222806, 0, 34061217844, 0, 2213314919066161], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 3612, 0, 299333414, 0, 534705631068, 0, 21914624432020321], 'euler29': [1, 0, 24124, 0, 1335138486, 0, 14349517795804, 0, 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0, -17397606095719924, 0, 2654348974297586158321], [1, 0, -189292, 0, 189874629654, 0, -17123048077534348, 0, 8182718904632857144561], [1, 0, 1431644, 0, 768601703526, 0, 183394002873796124, 0, 16409682740640811134241], [1, -120, 1561468, -140154120, 912207551334, -54522335300040, 236303551655032252, -7064590404992149560, 22902048046490258711521], [1, 376, 2025172, 559470328, 1510880719270, 275840691046792, 492293908472374612, 45064200089464487944, 59091511031674153381441], [1, 0, -1388268, 0, 1135702756694, 0, -453880858256234892, 0, 106890007738661124410161], [1, 0, 1693476, 0, 1710927822566, 0, 841625888691470436, 0, 246990403565262140303521], [1, -520, 3752092, -1432557880, 5183207723974, -1307456898013240, 3125387595918061468, -395320150500373912840, 693842360995438000295041]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/288/4/d/c'], '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': '8-288e4-1.1-c3e4-0-0', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0, 0], 'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-288e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.1222020913164, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 1024420417015049746, 'z1': {'__RealLiteral__': 0, 'data': '0.11598757161119102119435961137', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '147031714771941038781520808242,964625110781916738196743704506,1516766094763079982386133510978,2189569566568765537771032581191', 'Lhash_array': ['147031714771941038781520808242', '964625110781916738196743704506', '1516766094763079982386133510978', '2189569566568765537771032581191'], 'factors': ['2-288-8.5-c3-0-0', '2-288-8.5-c3-0-4', '2-288-8.5-c3-0-7', '2-288-8.5-c3-0-11'], 'label': '8-288e4-1.1-c3e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/288/4/d/c'}