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{'Nk2': 33120, 'analytic_conductor': 66.11613287362016, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [23, 1]], 'atkin_lehner_string': '++++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 1464065856, 'field_disc_factorization': [[2, 6], [3, 2], [11, 1], [269, 1], [859, 1]], 'field_poly': [9, -48, 52, 26, -16, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-356, 112, 171, -30, -24, 2, 1]], [11, [16, -160, 364, 100, -38, -4, 1]], [13, [-32, 48, 60, -60, -42, 0, 1]], [17, [-3380, 3848, 1239, -276, -72, 4, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265235032, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': True, 'label': '8280.2.a.bt', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '8280.2.a.bt', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-\\beta _{2}q^{7}+(1+\\beta _{3})q^{11}+\\beta _{4}q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8280.2.a', 'trace_display': [0, 0, -6, -2], 'trace_hash': 816037510645088560, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, -1]], 4, 2], [[[2, 1], [3, 1], [5, -1], [23, -1]], 7, 1], [[[2, 1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 10, 5], [[[2, -1], [3, 1], [5, 1], [23, 1]], 7, 1], [[[2, -1], [3, 1], [5, -1], [23, -1]], 7, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 9, 5], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [23, 1]], 9, 5], [[[2, 1], [3, -1], [5, -1], [23, 1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 4, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 10, 3]], 'ALdims': [7, 4, 4, 7, 9, 8, 8, 9, 7, 4, 4, 7, 6, 10, 10, 6], 'Nk2': 33120, 'analytic_conductor': 66.11613287362016, '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': [8280, 1, [2071, 4141, 4601, 1657, 3961], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 110, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33562712, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7], 'label': '8280.2.a', 'level': 8280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1760, 'mf_new_dim': 110, 'num_forms': 49, 'plus_dim': 50, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 3456, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [110, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, -12, 0, 0, 0, -20, 0, -20, 0, 0, 0, 0, 0, 110, 0, 0, 0, -8, 0, 16, 0, 0, 0, -12, 0, -8, 0, 0, 0, -12, 0, 4, 0, 0, 0, 0, 0, 94, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 16, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 49002699
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 202661983265235032, 'source_is_minimal': True, 'source_label': '8280.2.a.bt.1.3', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 202661983265235032, 'target_is_minimal': True, 'target_label': '8280.2.a.bt.1.3', 'target_level': 8280, 'twist_class_label': '8280.2.a.bt.1.3', 'twist_class_level': 8280, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49002700
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 202661983265235032, 'source_is_minimal': True, 'source_label': '8280.2.a.bt.1.3', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 207165582892605528, 'target_is_minimal': True, 'target_label': '8280.2.a.bu.1.3', 'target_level': 8280, 'twist_class_label': '8280.2.a.bt.1.3', 'twist_class_level': 8280, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4709625
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 202661983265235032, 'p': 2}
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id: 4709626
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 202661983265235032, 'p': 3}
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id: 4709627
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 202661983265235032, 'p': 5}
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id: 4709628
{'charpoly_factorization': [[[-356, 112, 171, -30, -24, 2, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 7}
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id: 4709629
{'charpoly_factorization': [[[16, -160, 364, 100, -38, -4, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 11}
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id: 4709630
{'charpoly_factorization': [[[-32, 48, 60, -60, -42, 0, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 13}
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id: 4709631
{'charpoly_factorization': [[[-3380, 3848, 1239, -276, -72, 4, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 17}
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id: 4709632
{'charpoly_factorization': [[[1280, -1152, -28, 204, -18, -8, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 19}
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id: 4709633
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 202661983265235032, 'p': 23}
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id: 4709634
{'charpoly_factorization': [[[49348, -4928, -10331, -1838, -10, 18, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 29}
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id: 4709635
{'charpoly_factorization': [[[7376, 3632, -383, -408, -34, 8, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 31}
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id: 4709636
{'charpoly_factorization': [[[8728, -33228, 4611, 1038, -156, -6, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 37}
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id: 4709637
{'charpoly_factorization': [[[-4832, 2712, 1773, -594, -126, 6, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 41}
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id: 4709638
{'charpoly_factorization': [[[1408, -2112, 464, 304, -44, -8, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 43}
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id: 4709639
{'charpoly_factorization': [[[22528, -15488, 76, 1124, -122, -8, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 47}
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id: 4709640
{'charpoly_factorization': [[[8732, 12524, 1399, -708, -88, 8, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 53}
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id: 4709641
{'charpoly_factorization': [[[-396, -660, 637, 22, -58, 2, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 59}
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id: 4709642
{'charpoly_factorization': [[[39888, 15024, -2756, -1628, -142, 8, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 61}
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id: 4709643
{'charpoly_factorization': [[[-200, 1852, 1755, 126, -132, 2, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 67}
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id: 4709644
{'charpoly_factorization': [[[34344, -32076, 7717, 230, -174, 2, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 71}
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id: 4709645
{'charpoly_factorization': [[[-305680, -62144, 15460, 1548, -238, -8, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 73}
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id: 4709646
{'charpoly_factorization': [[[-47104, -57344, -19328, -1728, 152, 28, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 79}
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id: 4709647
{'charpoly_factorization': [[[1080216, 98604, -43209, -6780, -116, 24, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 83}
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id: 4709648
{'charpoly_factorization': [[[-367616, -12800, 21568, -352, -272, 4, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 89}
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id: 4709649
{'charpoly_factorization': [[[25792, -35584, -21248, 4736, -88, -24, 1], 1]], 'hecke_orbit_code': 202661983265235032, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '8280.2.a.bt', 'level': 8280, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275972000
{'hecke_orbit_code': 202661983265235032, 'n': 1, 'trace_an': 6}
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id: 275972001
{'hecke_orbit_code': 202661983265235032, 'n': 2, 'trace_an': 0}
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id: 275972002
{'hecke_orbit_code': 202661983265235032, 'n': 3, 'trace_an': 0}
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id: 275972003
{'hecke_orbit_code': 202661983265235032, 'n': 4, 'trace_an': 0}
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id: 275972004
{'hecke_orbit_code': 202661983265235032, 'n': 5, 'trace_an': -6}
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id: 275972005
{'hecke_orbit_code': 202661983265235032, 'n': 6, 'trace_an': 0}
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id: 275972006
{'hecke_orbit_code': 202661983265235032, 'n': 7, 'trace_an': -2}
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id: 275972007
{'hecke_orbit_code': 202661983265235032, 'n': 8, 'trace_an': 0}
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id: 275972008
{'hecke_orbit_code': 202661983265235032, 'n': 9, 'trace_an': 0}
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id: 275972009
{'hecke_orbit_code': 202661983265235032, 'n': 10, 'trace_an': 0}
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id: 275972010
{'hecke_orbit_code': 202661983265235032, 'n': 11, 'trace_an': 4}
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id: 275972011
{'hecke_orbit_code': 202661983265235032, 'n': 12, 'trace_an': 0}
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id: 275972012
{'hecke_orbit_code': 202661983265235032, 'n': 13, 'trace_an': 0}
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id: 275972013
{'hecke_orbit_code': 202661983265235032, 'n': 14, 'trace_an': 0}
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id: 275972014
{'hecke_orbit_code': 202661983265235032, 'n': 15, 'trace_an': 0}
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id: 275972015
{'hecke_orbit_code': 202661983265235032, 'n': 16, 'trace_an': 0}
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id: 275972016
{'hecke_orbit_code': 202661983265235032, 'n': 17, 'trace_an': -4}
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id: 275972017
{'hecke_orbit_code': 202661983265235032, 'n': 18, 'trace_an': 0}
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id: 275972018
{'hecke_orbit_code': 202661983265235032, 'n': 19, 'trace_an': 8}
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id: 275972019
{'hecke_orbit_code': 202661983265235032, 'n': 20, 'trace_an': 0}
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id: 275972020
{'hecke_orbit_code': 202661983265235032, 'n': 21, 'trace_an': 0}
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id: 275972021
{'hecke_orbit_code': 202661983265235032, 'n': 22, 'trace_an': 0}
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id: 275972022
{'hecke_orbit_code': 202661983265235032, 'n': 23, 'trace_an': -6}
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id: 275972023
{'hecke_orbit_code': 202661983265235032, 'n': 24, 'trace_an': 0}
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id: 275972024
{'hecke_orbit_code': 202661983265235032, 'n': 25, 'trace_an': 6}
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id: 275972025
{'hecke_orbit_code': 202661983265235032, 'n': 26, 'trace_an': 0}
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id: 275972026
{'hecke_orbit_code': 202661983265235032, 'n': 27, 'trace_an': 0}
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id: 275972027
{'hecke_orbit_code': 202661983265235032, 'n': 28, 'trace_an': 0}
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id: 275972028
{'hecke_orbit_code': 202661983265235032, 'n': 29, 'trace_an': -18}
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id: 275972029
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