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  • lfunc_lfunctions • Show schema
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'10.63185719759263388650081726724419', '11.13672719988989548844948329459804', '11.38363819478208934190233018336774', '11.79399924339806834621039037943216', '12.23085653867274349787835081156576', '12.66318385763795584795014543852107', '12.67532978211908182564880865016256'], 'prelabel': '8-75e4-1.1-c9e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.215117674854636, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c9e4-0', 'trace_hash': 1740433567428661296, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.45518994833629041348781448288', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '1.49047984582795746135900628536', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.15669396835982072154067108896', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 2226357.2115213773, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 31640625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, 3, 324, -721, 0, 972, -9834, -5241, 65610, 0, -35994, -233604, -79998, -29502, 0, -13913, -667878, 196830, -425792, 0, -3186216, -107982, -1031232, -1698084, 0, -239994, 10628820, 7090314, 36786, 0, 237044, 2404215, -11662056, -2003634, 0, -47304810, -15750594, -1277376, -25919352, 0, 46660044, -9558648, -67170720, 25951674, 0, -3093696, -48243420, -4507812, -45185836, 0, -216392472, 57678558, -198376482, 31886460, 0, 51539994, -137956608, 110358, -118263018, 0, -178713880, 711132, -645208740, 205552231, 0, -34986168, -16141548, 481540038, -334119168, 0, -78445332, -343862010, -514053252, -47251782, 0, 306996032, 353964996, -77758056, -431961140, 0, 1506635235, 139980132, -557494176, 2297261736, 0, -201512160, 11918664, 188644554, -178691112, 0, 786700332, 743518272, 76802256, 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True, 'root_analytic_conductor': 6.215117674854636, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9e4-0', 'trace_hash': 1740433567428661296, 'z1': {'__RealLiteral__': 0, 'data': '1.45518994833629041348781448288', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1844672411454584675404886141308,1889407671191889095822434330474,2733934403499928727163776273172,3023186922739798852546762704582', 'Lhash_array': ['1844672411454584675404886141308', '1889407671191889095822434330474', '2733934403499928727163776273172', '3023186922739798852546762704582'], 'factors': ['2-75-1.1-c9-0-18', '2-75-1.1-c9-0-20', '2-75-1.1-c9-0-25', '2-75-1.1-c9-0-27'], 'label': '8-75e4-1.1-c9e4-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/75/10/a/l'}