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{'Nk2': 24320, 'analytic_conductor': 48.54904442893847, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [19, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-2, 2, 1]], [7, [0, 1]], [11, [2, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345193408, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6080.2.a.ba', 'level': 6080, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '760.2.a.g', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{3}+q^{5}+(1-2\\beta )q^{9}-2q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6080.2.a', 'trace_display': [0, -2, 2, 0], 'trace_hash': 263408597618502553, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.291', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [1, -2], [0, 0], [-2, 0], [0, 0], [-1, -1], [0, 0], [-1, 1], [0, 0], [4, -2], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [2, 2], [0, 0], [1, 0], [0, 0], [-4, 0], [0, 0], [0, -2], [0, 0], [4, 0], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0], [1, 5], [0, 0], [-2, 0], [0, 0], [4, 2], [0, 0], [-4, -4], [0, 0], [1, -2], [0, 0], [4, 4], [0, 0], [-7, 0], [0, 0], [-10, 6], [0, 0], [3, -5], [0, 0], [-2, 0], [0, 0], [1, -1], [0, 0], [2, 2], [0, 0], [10, 2], [0, 0], [0, 0], [0, 0], [-1, -1], [0, 0], [-1, -3], [0, 0], [4, 0], [0, 0], [4, -4], [0, 0], [0, 6], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [2, 6], [0, 0], [1, 2], [0, 0], [2, -2], [0, 0], [4, -2], [0, 0], [-6, 2], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [-4, 4], [0, 0], [-1, 0], [0, 0], [-7, 5], [0, 0], [-2, 4], [0, 0]], 'ap': [[0, 0], [-1, 1], [1, 0], [0, 0], [-2, 0], [-1, -1], [4, -2], [-1, 0], [2, 2], [0, -2], [4, 0], [1, 5], [4, 2], [-4, -4], [4, 4], [3, -5], [2, 2], 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[81, 11], [62, 16], [-20, 10], [-66, -8], [-6, 38], [-43, 31], [-16, 6], [-5, 13], [46, 8], [7, -1], [40, -4], [4, -8], [47, 7], [-3, -31], [-7, 23], [-18, 46], [-4, 16], [-10, -48]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 117093590345193408, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '6080.2.a.ba', 'level': 6080, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 21, 10], [[[2, -1], [5, -1], [19, -1]], 21, 9], [[[2, 1], [5, -1], [19, -1]], 15, 6], [[[2, 1], [5, -1], [19, 1]], 19, 7], [[[2, 1], [5, 1], [19, 1]], 17, 7], [[[2, -1], [5, -1], [19, 1]], 17, 8], [[[2, -1], [5, 1], [19, 1]], 19, 10], [[[2, -1], [5, 1], [19, -1]], 15, 7]], 'ALdims': [17, 21, 19, 15, 19, 15, 17, 21], 'Nk2': 24320, 'analytic_conductor': 48.54904442893847, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6080, 1, [191, 5701, 1217, 1921], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33560512, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': 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mf_twists_nf • Show schema
Hide schema
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id: 1288294
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6080.2.a.ba', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '760.2.a.g', 'target_level': 760, 'twist_class_label': '760.2.a.g', 'twist_class_level': 760, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1288295
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6080.2.a.ba', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1520.2.a.k', 'target_level': 1520, 'twist_class_label': '760.2.a.g', 'twist_class_level': 760, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1288296
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6080.2.a.ba', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3800.2.a.j', 'target_level': 3800, 'twist_class_label': '760.2.a.g', 'twist_class_level': 760, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1288297
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6080.2.a.ba', 'source_level': 6080, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3800.2.d.h', 'target_level': 3800, 'twist_class_label': '760.2.a.g', 'twist_class_level': 760, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1288298
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6080.2.a.ba', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '6080.2.a.ba', 'target_level': 6080, 'twist_class_label': '760.2.a.g', 'twist_class_level': 760, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1288299
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6080.2.a.ba', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '6080.2.a.bk', 'target_level': 6080, 'twist_class_label': '760.2.a.g', 'twist_class_level': 760, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1288300
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6080.2.a.ba', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '6840.2.a.y', 'target_level': 6840, 'twist_class_label': '760.2.a.g', 'twist_class_level': 760, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1288301
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6080.2.a.ba', 'source_level': 6080, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '7600.2.a.bd', 'target_level': 7600, 'twist_class_label': '760.2.a.g', 'twist_class_level': 760, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4085525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 117093590345193408, 'p': 2}
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id: 4085526
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 3}
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id: 4085527
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 117093590345193408, 'p': 5}
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id: 4085528
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 117093590345193408, 'p': 7}
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id: 4085529
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 117093590345193408, 'p': 11}
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id: 4085530
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 13}
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id: 4085531
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 17}
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id: 4085532
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 117093590345193408, 'p': 19}
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id: 4085533
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 23}
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id: 4085534
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 29}
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id: 4085535
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 117093590345193408, 'p': 31}
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id: 4085536
{'charpoly_factorization': [[[-74, -2, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 37}
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id: 4085537
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 41}
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id: 4085538
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 43}
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id: 4085539
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 47}
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id: 4085540
{'charpoly_factorization': [[[-66, -6, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 53}
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id: 4085541
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 59}
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id: 4085542
{'charpoly_factorization': [[[88, -20, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 61}
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id: 4085543
{'charpoly_factorization': [[[-26, 2, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 67}
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id: 4085544
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 71}
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id: 4085545
{'charpoly_factorization': [[[-108, 0, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 73}
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id: 4085546
{'charpoly_factorization': [[[-104, -4, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 79}
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id: 4085547
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 83}
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id: 4085548
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 89}
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id: 4085549
{'charpoly_factorization': [[[-26, 14, 1], 1]], 'hecke_orbit_code': 117093590345193408, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '6080.2.a.ba', 'level': 6080, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 260710000
{'hecke_orbit_code': 117093590345193408, 'n': 1, 'trace_an': 2}
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id: 260710001
{'hecke_orbit_code': 117093590345193408, 'n': 2, 'trace_an': 0}
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id: 260710002
{'hecke_orbit_code': 117093590345193408, 'n': 3, 'trace_an': -2}
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id: 260710003
{'hecke_orbit_code': 117093590345193408, 'n': 4, 'trace_an': 0}
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id: 260710004
{'hecke_orbit_code': 117093590345193408, 'n': 5, 'trace_an': 2}
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id: 260710005
{'hecke_orbit_code': 117093590345193408, 'n': 6, 'trace_an': 0}
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id: 260710006
{'hecke_orbit_code': 117093590345193408, 'n': 7, 'trace_an': 0}
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id: 260710007
{'hecke_orbit_code': 117093590345193408, 'n': 8, 'trace_an': 0}
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id: 260710008
{'hecke_orbit_code': 117093590345193408, 'n': 9, 'trace_an': 2}
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id: 260710009
{'hecke_orbit_code': 117093590345193408, 'n': 10, 'trace_an': 0}
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id: 260710010
{'hecke_orbit_code': 117093590345193408, 'n': 11, 'trace_an': -4}
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id: 260710011
{'hecke_orbit_code': 117093590345193408, 'n': 12, 'trace_an': 0}
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