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lfunc_lfunctions • Show schema
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{'Lhash': '1390424854034934032391323010020', 'a10': 0, 'a2': 0, 'a3': -8, 'a4': 0, 'a5': 5, 'a6': 0, 'a7': -24, 'a8': 0, 'a9': 37, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 51.921680805051764, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [5, [1, -5]], [11, [1, -11]]], 'bad_primes': [2, 5, 11], 'central_character': '880.1', 'coefficient_field': '1.1.1.1', 'conductor': 880, 'conductor_radical': 110, 'degree': 2, 'euler_factors': [[1], [1, 8, 27], [1, -5], [1, 24, 343], [1, -11], [1, 22, 2197], [1, -22, 4913], [1, -28, 6859], [1, -44, 12167], [1, -110, 24389], [1, -40, 29791], [1, 362, 50653], [1, -210, 68921], [1, 260, 79507], [1, -460, 103823], [1, -662, 148877], [1, -68, 205379], [1, -606, 226981], [1, -312, 300763], [1, 360, 357911], [1, 1042, 389017], [1, -552, 493039], [1, 268, 571787], [1, 966, 704969], [1, 1334, 912673], [1, 1362, 1030301], [1, 1564, 1092727], [1, -1108, 1225043], [1, 1482, 1295029], [1, 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'-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c3-0', 'trace_hash': 2010156816932120610, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.09685180899579126968711831767', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.75181353423915078599752114495', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.01165159809247119859856265816', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 51.921680805051764, 'bad_primes': [2, 5, 11], 'central_character': '1.1', 'conductor': 880, 'conductor_radical': 110, 'degree': 2, 'dirichlet_coefficients': [1, 0, -8, 0, 5, 0, -24, 0, 37, 0, 11, 0, -22, 0, -40, 0, 22, 0, 28, 0, 192, 0, 44, 0, 25, 0, -80, 0, 110, 0, 40, 0, -88, 0, -120, 0, -362, 0, 176, 0, 210, 0, -260, 0, 185, 0, 460, 0, 233, 0, -176, 0, 662, 0, 55, 0, -224, 0, 68, 0, 606, 0, -888, 0, -110, 0, 312, 0, -352, 0, -360, 0, -1042, 0, -200, 0, -264, 0, 552, 0, -359, 0, -268, 0, 110, 0, -880, 0, -966, 0, 528, 0, -320, 0, 140, 0, -1334, 0, 407, 0], 'euler11': [1, -11, 0], 'euler13': [1, 22, 2197], 'euler17': [1, -22, 4913], 'euler19': [1, -28, 6859], 'euler2': [1, 0, 0], 'euler23': [1, -44, 12167], 'euler29': [1, -110, 24389], 'euler3': [1, 8, 27], 'euler31': [1, -40, 29791], 'euler37': [1, 362, 50653], 'euler41': [1, -210, 68921], 'euler43': [1, 260, 79507], 'euler47': [1, -460, 103823], 'euler5': [1, -5, 0], 'euler53': [1, -662, 148877], 'euler59': [1, -68, 205379], 'euler61': [1, -606, 226981], 'euler67': [1, -312, 300763], 'euler7': [1, 24, 343], 'euler71': [1, 360, 357911], 'euler73': [1, 1042, 389017], 'euler79': [1, -552, 493039], 'euler83': [1, 268, 571787], 'euler89': [1, 966, 704969], 'euler97': [1, 1334, 912673], 'euler_factors': [[1, 0, 0], [1, 8, 27], [1, -5, 0], [1, 24, 343], [1, -11, 0], [1, 22, 2197], [1, -22, 4913], [1, -28, 6859], [1, -44, 12167], [1, -110, 24389], [1, -40, 29791], [1, 362, 50653], [1, -210, 68921], [1, 260, 79507], [1, -460, 103823], [1, -662, 148877], [1, -68, 205379], [1, -606, 226981], [1, -312, 300763], [1, 360, 357911], [1, 1042, 389017], [1, -552, 493039], [1, 268, 571787], [1, 966, 704969], [1, 1334, 912673]], 'index': 30, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/880/4/a/a/1/1', 'ModularForm/GL2/Q/holomorphic/880/4/a/a'], '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': '2-880-1.1-c3-0-30', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-880-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 7.20567004553024, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 2010156816932120610, 'z1': {'__RealLiteral__': 0, 'data': '1.09685180899579126968711831767', 'prec': 103}}
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lfunc_instances • Show schema
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id: 19996061
{'Lhash': '1390424854034934032391323010020', 'Lhash_array': ['1390424854034934032391323010020'], 'label': '2-880-1.1-c3-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/880/4/a/a'}
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id: 24575366
{'Lhash': '1390424854034934032391323010020', 'Lhash_array': ['1390424854034934032391323010020'], 'label': '2-880-1.1-c3-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/880/4/a/a/1/1'}