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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': 5, 'field_disc': 20087896, 'field_disc_factorization': [[2, 3], [337, 1], [7451, 1]], 'field_poly': [-4, 84, 5, -21, -1, 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, [128, 104, -54, -19, 4, 1]], [11, [-1312, 408, 160, -46, -4, 1]], [13, [-3584, 968, 248, -66, -4, 1]], [17, [-2416, -2148, -584, -25, 10, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010494040, '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': False, 'label': '8280.2.a.br', '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': '2760.2.a.w', 'nf_label': '5.5.20087896.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+(-1+\\beta _{1})q^{7}+(1-\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 5, '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, -5, -4], 'trace_hash': 139446338414032133, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.077', 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mf_hecke_cc • 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
-
id: 48980706
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 193654784010494040, 'source_is_minimal': False, 'source_label': '8280.2.a.br.1.2', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 193654784010494040, 'target_is_minimal': False, 'target_label': '8280.2.a.br.1.2', 'target_level': 8280, 'twist_class_label': '2760.2.a.w.1.2', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48980707
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 193654784010494040, 'source_is_minimal': False, 'source_label': '8280.2.a.br.1.2', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191835708104, 'target_is_minimal': True, 'target_label': '2760.2.a.w.1.2', 'target_level': 2760, 'twist_class_label': '2760.2.a.w.1.2', 'twist_class_level': 2760, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48980708
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 193654784010494040, 'source_is_minimal': False, 'source_label': '8280.2.a.br.1.2', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 243194379911566736, 'target_is_minimal': False, 'target_label': '5520.2.a.cc.1.4', 'target_level': 5520, 'twist_class_label': '2760.2.a.w.1.2', 'twist_class_level': 2760, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4709550
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 193654784010494040, 'p': 2}
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id: 4709551
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 193654784010494040, 'p': 3}
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id: 4709552
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 193654784010494040, 'p': 5}
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id: 4709553
{'charpoly_factorization': [[[128, 104, -54, -19, 4, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 7}
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id: 4709554
{'charpoly_factorization': [[[-1312, 408, 160, -46, -4, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 11}
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id: 4709555
{'charpoly_factorization': [[[-3584, 968, 248, -66, -4, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 13}
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id: 4709556
{'charpoly_factorization': [[[-2416, -2148, -584, -25, 10, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 17}
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id: 4709557
{'charpoly_factorization': [[[512, 256, -120, -54, 4, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 19}
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id: 4709558
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 193654784010494040, 'p': 23}
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id: 4709559
{'charpoly_factorization': [[[-1424, -1476, -472, -25, 10, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 29}
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id: 4709560
{'charpoly_factorization': [[[-4096, 128, 568, -79, -6, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 31}
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id: 4709561
{'charpoly_factorization': [[[-112, 44, 76, -11, -6, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 37}
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id: 4709562
{'charpoly_factorization': [[[-1912, -3196, -1010, -53, 12, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 41}
-
id: 4709563
{'charpoly_factorization': [[[128, 1344, -40, -84, 2, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 43}
-
id: 4709564
{'charpoly_factorization': [[[512, 256, -120, -54, 4, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 47}
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id: 4709565
{'charpoly_factorization': [[[2344, 3364, -202, -141, 0, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 53}
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id: 4709566
{'charpoly_factorization': [[[53248, 14032, -1536, -269, 6, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 59}
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id: 4709567
{'charpoly_factorization': [[[25856, -17480, 3368, -126, -16, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 61}
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id: 4709568
{'charpoly_factorization': [[[-6176, 4160, -162, -123, 4, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 67}
-
id: 4709569
{'charpoly_factorization': [[[6464, 1000, -482, -65, 8, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 71}
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id: 4709570
{'charpoly_factorization': [[[-656, 88, 316, -42, -14, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 73}
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id: 4709571
{'charpoly_factorization': [[[-32768, -768, 1984, -88, -18, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 79}
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id: 4709572
{'charpoly_factorization': [[[9056, -4384, 414, 95, -20, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 83}
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id: 4709573
{'charpoly_factorization': [[[3328, 7936, -1552, -120, 18, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 89}
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id: 4709574
{'charpoly_factorization': [[[-13952, 13536, 1360, -364, -4, 1], 1]], 'hecke_orbit_code': 193654784010494040, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '8280.2.a.br', '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: 275160000
{'hecke_orbit_code': 193654784010494040, 'n': 1, 'trace_an': 5}
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id: 275160001
{'hecke_orbit_code': 193654784010494040, 'n': 2, 'trace_an': 0}
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id: 275160002
{'hecke_orbit_code': 193654784010494040, 'n': 3, 'trace_an': 0}
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id: 275160003
{'hecke_orbit_code': 193654784010494040, 'n': 4, 'trace_an': 0}
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id: 275160004
{'hecke_orbit_code': 193654784010494040, 'n': 5, 'trace_an': -5}
-
id: 275160005
{'hecke_orbit_code': 193654784010494040, 'n': 6, 'trace_an': 0}
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id: 275160006
{'hecke_orbit_code': 193654784010494040, 'n': 7, 'trace_an': -4}
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id: 275160007
{'hecke_orbit_code': 193654784010494040, 'n': 8, 'trace_an': 0}
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id: 275160008
{'hecke_orbit_code': 193654784010494040, 'n': 9, 'trace_an': 0}
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id: 275160009
{'hecke_orbit_code': 193654784010494040, 'n': 10, 'trace_an': 0}
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id: 275160010
{'hecke_orbit_code': 193654784010494040, 'n': 11, 'trace_an': 4}
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id: 275160011
{'hecke_orbit_code': 193654784010494040, 'n': 12, 'trace_an': 0}
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id: 275160012
{'hecke_orbit_code': 193654784010494040, 'n': 13, 'trace_an': 4}
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id: 275160013
{'hecke_orbit_code': 193654784010494040, 'n': 14, 'trace_an': 0}
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id: 275160014
{'hecke_orbit_code': 193654784010494040, 'n': 15, 'trace_an': 0}
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id: 275160015
{'hecke_orbit_code': 193654784010494040, 'n': 16, 'trace_an': 0}
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id: 275160016
{'hecke_orbit_code': 193654784010494040, 'n': 17, 'trace_an': -10}
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id: 275160017
{'hecke_orbit_code': 193654784010494040, 'n': 18, 'trace_an': 0}
-
id: 275160018
{'hecke_orbit_code': 193654784010494040, 'n': 19, 'trace_an': -4}
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id: 275160019
{'hecke_orbit_code': 193654784010494040, 'n': 20, 'trace_an': 0}
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id: 275160020
{'hecke_orbit_code': 193654784010494040, 'n': 21, 'trace_an': 0}
-
id: 275160021
{'hecke_orbit_code': 193654784010494040, 'n': 22, 'trace_an': 0}
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id: 275160022
{'hecke_orbit_code': 193654784010494040, 'n': 23, 'trace_an': 5}
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id: 275160023
{'hecke_orbit_code': 193654784010494040, 'n': 24, 'trace_an': 0}
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id: 275160024
{'hecke_orbit_code': 193654784010494040, 'n': 25, 'trace_an': 5}
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id: 275160025
{'hecke_orbit_code': 193654784010494040, 'n': 26, 'trace_an': 0}
-
id: 275160026
{'hecke_orbit_code': 193654784010494040, 'n': 27, 'trace_an': 0}
-
id: 275160027
{'hecke_orbit_code': 193654784010494040, 'n': 28, 'trace_an': 0}
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id: 275160028
{'hecke_orbit_code': 193654784010494040, 'n': 29, 'trace_an': -10}
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id: 275160029
{'hecke_orbit_code': 193654784010494040, 'n': 30, 'trace_an': 0}
-
id: 275160030
{'hecke_orbit_code': 193654784010494040, 'n': 31, 'trace_an': 6}
-
id: 275160031
{'hecke_orbit_code': 193654784010494040, 'n': 32, 'trace_an': 0}
-
id: 275160032
{'hecke_orbit_code': 193654784010494040, 'n': 33, 'trace_an': 0}
-
id: 275160033
{'hecke_orbit_code': 193654784010494040, 'n': 34, 'trace_an': 0}
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id: 275160034
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