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{'Nk2': 33120, 'analytic_conductor': 66.11613287362016, 'analytic_rank': 0, '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': 47, 'hecke_orbit_code': 207165582892605528, '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.bu', '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': 15677381504659688, '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: 49012888
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 207165582892605528, 'source_is_minimal': True, 'source_label': '8280.2.a.bu.1.6', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 207165582892605528, 'target_is_minimal': True, 'target_label': '8280.2.a.bu.1.6', 'target_level': 8280, 'twist_class_label': '8280.2.a.bt.1.6', 'twist_class_level': 8280, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49012889
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 207165582892605528, 'source_is_minimal': True, 'source_label': '8280.2.a.bu.1.6', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 202661983265235032, 'target_is_minimal': True, 'target_label': '8280.2.a.bt.1.6', 'target_level': 8280, 'twist_class_label': '8280.2.a.bt.1.6', '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: 4709650
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 207165582892605528, 'p': 2}
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id: 4709651
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 207165582892605528, 'p': 3}
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id: 4709652
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 207165582892605528, 'p': 5}
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id: 4709653
{'charpoly_factorization': [[[-356, 112, 171, -30, -24, 2, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 7}
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id: 4709654
{'charpoly_factorization': [[[16, 160, 364, -100, -38, 4, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 11}
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id: 4709655
{'charpoly_factorization': [[[-32, 48, 60, -60, -42, 0, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 13}
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id: 4709656
{'charpoly_factorization': [[[-3380, -3848, 1239, 276, -72, -4, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 17}
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id: 4709657
{'charpoly_factorization': [[[1280, -1152, -28, 204, -18, -8, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 19}
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id: 4709658
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 207165582892605528, 'p': 23}
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id: 4709659
{'charpoly_factorization': [[[49348, 4928, -10331, 1838, -10, -18, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 29}
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id: 4709660
{'charpoly_factorization': [[[7376, 3632, -383, -408, -34, 8, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 31}
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id: 4709661
{'charpoly_factorization': [[[8728, -33228, 4611, 1038, -156, -6, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 37}
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id: 4709662
{'charpoly_factorization': [[[-4832, -2712, 1773, 594, -126, -6, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 41}
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id: 4709663
{'charpoly_factorization': [[[1408, -2112, 464, 304, -44, -8, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 43}
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id: 4709664
{'charpoly_factorization': [[[22528, 15488, 76, -1124, -122, 8, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 47}
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id: 4709665
{'charpoly_factorization': [[[8732, -12524, 1399, 708, -88, -8, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 53}
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id: 4709666
{'charpoly_factorization': [[[-396, 660, 637, -22, -58, -2, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 59}
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id: 4709667
{'charpoly_factorization': [[[39888, 15024, -2756, -1628, -142, 8, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 61}
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id: 4709668
{'charpoly_factorization': [[[-200, 1852, 1755, 126, -132, 2, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 67}
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id: 4709669
{'charpoly_factorization': [[[34344, 32076, 7717, -230, -174, -2, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 71}
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id: 4709670
{'charpoly_factorization': [[[-305680, -62144, 15460, 1548, -238, -8, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 73}
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id: 4709671
{'charpoly_factorization': [[[-47104, -57344, -19328, -1728, 152, 28, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 79}
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id: 4709672
{'charpoly_factorization': [[[1080216, -98604, -43209, 6780, -116, -24, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 83}
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id: 4709673
{'charpoly_factorization': [[[-367616, 12800, 21568, 352, -272, -4, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 89}
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id: 4709674
{'charpoly_factorization': [[[25792, -35584, -21248, 4736, -88, -24, 1], 1]], 'hecke_orbit_code': 207165582892605528, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '8280.2.a.bu', '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: 276344000
{'hecke_orbit_code': 207165582892605528, 'n': 1, 'trace_an': 6}
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id: 276344001
{'hecke_orbit_code': 207165582892605528, 'n': 2, 'trace_an': 0}
-
id: 276344002
{'hecke_orbit_code': 207165582892605528, 'n': 3, 'trace_an': 0}
-
id: 276344003
{'hecke_orbit_code': 207165582892605528, 'n': 4, 'trace_an': 0}
-
id: 276344004
{'hecke_orbit_code': 207165582892605528, 'n': 5, 'trace_an': 6}
-
id: 276344005
{'hecke_orbit_code': 207165582892605528, 'n': 6, 'trace_an': 0}
-
id: 276344006
{'hecke_orbit_code': 207165582892605528, 'n': 7, 'trace_an': -2}
-
id: 276344007
{'hecke_orbit_code': 207165582892605528, 'n': 8, 'trace_an': 0}
-
id: 276344008
{'hecke_orbit_code': 207165582892605528, 'n': 9, 'trace_an': 0}
-
id: 276344009
{'hecke_orbit_code': 207165582892605528, 'n': 10, 'trace_an': 0}
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id: 276344010
{'hecke_orbit_code': 207165582892605528, 'n': 11, 'trace_an': -4}
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id: 276344011
{'hecke_orbit_code': 207165582892605528, 'n': 12, 'trace_an': 0}
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id: 276344012
{'hecke_orbit_code': 207165582892605528, 'n': 13, 'trace_an': 0}
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id: 276344013
{'hecke_orbit_code': 207165582892605528, 'n': 14, 'trace_an': 0}
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id: 276344014
{'hecke_orbit_code': 207165582892605528, 'n': 15, 'trace_an': 0}
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id: 276344015
{'hecke_orbit_code': 207165582892605528, 'n': 16, 'trace_an': 0}
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id: 276344016
{'hecke_orbit_code': 207165582892605528, 'n': 17, 'trace_an': 4}
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id: 276344017
{'hecke_orbit_code': 207165582892605528, 'n': 18, 'trace_an': 0}
-
id: 276344018
{'hecke_orbit_code': 207165582892605528, 'n': 19, 'trace_an': 8}
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id: 276344019
{'hecke_orbit_code': 207165582892605528, 'n': 20, 'trace_an': 0}
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id: 276344020
{'hecke_orbit_code': 207165582892605528, 'n': 21, 'trace_an': 0}
-
id: 276344021
{'hecke_orbit_code': 207165582892605528, 'n': 22, 'trace_an': 0}
-
id: 276344022
{'hecke_orbit_code': 207165582892605528, 'n': 23, 'trace_an': 6}
-
id: 276344023
{'hecke_orbit_code': 207165582892605528, 'n': 24, 'trace_an': 0}
-
id: 276344024
{'hecke_orbit_code': 207165582892605528, 'n': 25, 'trace_an': 6}
-
id: 276344025
{'hecke_orbit_code': 207165582892605528, 'n': 26, 'trace_an': 0}
-
id: 276344026
{'hecke_orbit_code': 207165582892605528, 'n': 27, 'trace_an': 0}
-
id: 276344027
{'hecke_orbit_code': 207165582892605528, 'n': 28, 'trace_an': 0}
-
id: 276344028
{'hecke_orbit_code': 207165582892605528, 'n': 29, 'trace_an': 18}
-
id: 276344029
{'hecke_orbit_code': 207165582892605528, 'n': 30, 'trace_an': 0}
-
id: 276344030
{'hecke_orbit_code': 207165582892605528, 'n': 31, 'trace_an': -8}
-
id: 276344031
{'hecke_orbit_code': 207165582892605528, 'n': 32, 'trace_an': 0}
-
id: 276344032
{'hecke_orbit_code': 207165582892605528, 'n': 33, 'trace_an': 0}
-
id: 276344033
{'hecke_orbit_code': 207165582892605528, 'n': 34, 'trace_an': 0}
-
id: 276344034
{'hecke_orbit_code': 207165582892605528, 'n': 35, 'trace_an': -2}
-
id: 276344035
{'hecke_orbit_code': 207165582892605528, 'n': 36, 'trace_an': 0}
-
id: 276344036
{'hecke_orbit_code': 207165582892605528, 'n': 37, 'trace_an': 6}
-
id: 276344037
{'hecke_orbit_code': 207165582892605528, 'n': 38, 'trace_an': 0}
-
id: 276344038
{'hecke_orbit_code': 207165582892605528, 'n': 39, 'trace_an': 0}
-
id: 276344039
{'hecke_orbit_code': 207165582892605528, 'n': 40, 'trace_an': 0}
-
id: 276344040
{'hecke_orbit_code': 207165582892605528, 'n': 41, 'trace_an': 6}
-
id: 276344041
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