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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': 4, 'field_disc': 54764, 'field_disc_factorization': [[2, 2], [13691, 1]], 'field_poly': [2, 3, -9, -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, [8, -6, -19, 0, 1]], [11, [80, -12, -22, 0, 1]], [13, [296, -56, -38, 2, 1]], [17, [1024, -58, -71, 2, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383123544, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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.bq', '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.v', 'nf_label': '4.4.54764.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-\\beta _{1}q^{7}+\\beta _{3}q^{11}+(-1+\\beta _{1}+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, '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, 4, 0], 'trace_hash': 277606565473060605, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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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
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id: 48968516
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 189151184383123544, 'source_is_minimal': False, 'source_label': '8280.2.a.bq.1.4', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 189151184383123544, 'target_is_minimal': False, 'target_label': '8280.2.a.bq.1.4', 'target_level': 8280, 'twist_class_label': '2760.2.a.v.1.4', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48968517
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 189151184383123544, 'source_is_minimal': False, 'source_label': '8280.2.a.bq.1.4', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575592208337608, 'target_is_minimal': True, 'target_label': '2760.2.a.v.1.4', 'target_level': 2760, 'twist_class_label': '2760.2.a.v.1.4', 'twist_class_level': 2760, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48968518
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 189151184383123544, 'source_is_minimal': False, 'source_label': '8280.2.a.bq.1.4', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284196240, 'target_is_minimal': False, 'target_label': '5520.2.a.cb.1.1', 'target_level': 5520, 'twist_class_label': '2760.2.a.v.1.4', '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: 4709525
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 189151184383123544, 'p': 2}
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id: 4709526
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 189151184383123544, 'p': 3}
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id: 4709527
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 189151184383123544, 'p': 5}
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id: 4709528
{'charpoly_factorization': [[[8, -6, -19, 0, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 7}
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id: 4709529
{'charpoly_factorization': [[[80, -12, -22, 0, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 11}
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id: 4709530
{'charpoly_factorization': [[[296, -56, -38, 2, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 13}
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id: 4709531
{'charpoly_factorization': [[[1024, -58, -71, 2, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 17}
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id: 4709532
{'charpoly_factorization': [[[256, -112, -26, 6, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 19}
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id: 4709533
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 189151184383123544, 'p': 23}
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id: 4709534
{'charpoly_factorization': [[[-164, -400, -75, 4, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 29}
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id: 4709535
{'charpoly_factorization': [[[-128, -104, -11, 6, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 31}
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id: 4709536
{'charpoly_factorization': [[[2104, -146, -95, 4, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 37}
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id: 4709537
{'charpoly_factorization': [[[-380, -204, -11, 8, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 41}
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id: 4709538
{'charpoly_factorization': [[[-2048, -464, 68, 20, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 43}
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id: 4709539
{'charpoly_factorization': [[[256, -112, -26, 6, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 47}
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id: 4709540
{'charpoly_factorization': [[[1468, -176, -147, -4, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 53}
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id: 4709541
{'charpoly_factorization': [[[320, -84, -75, -4, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 59}
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id: 4709542
{'charpoly_factorization': [[[-400, -364, -62, 4, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 61}
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id: 4709543
{'charpoly_factorization': [[[-6976, -900, 141, 26, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 67}
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id: 4709544
{'charpoly_factorization': [[[-64, -96, -35, 0, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 71}
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id: 4709545
{'charpoly_factorization': [[[-152, -8, 82, 18, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 73}
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id: 4709546
{'charpoly_factorization': [[[512, -1536, -56, 18, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 79}
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id: 4709547
{'charpoly_factorization': [[[-9176, 1486, 109, -26, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 83}
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id: 4709548
{'charpoly_factorization': [[[-64, -48, 24, 14, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 89}
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id: 4709549
{'charpoly_factorization': [[[64, -128, -44, 12, 1], 1]], 'hecke_orbit_code': 189151184383123544, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '8280.2.a.bq', '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: 274713000
{'hecke_orbit_code': 189151184383123544, 'n': 1, 'trace_an': 4}
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id: 274713001
{'hecke_orbit_code': 189151184383123544, 'n': 2, 'trace_an': 0}
-
id: 274713002
{'hecke_orbit_code': 189151184383123544, 'n': 3, 'trace_an': 0}
-
id: 274713003
{'hecke_orbit_code': 189151184383123544, 'n': 4, 'trace_an': 0}
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id: 274713004
{'hecke_orbit_code': 189151184383123544, 'n': 5, 'trace_an': 4}
-
id: 274713005
{'hecke_orbit_code': 189151184383123544, 'n': 6, 'trace_an': 0}
-
id: 274713006
{'hecke_orbit_code': 189151184383123544, 'n': 7, 'trace_an': 0}
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id: 274713007
{'hecke_orbit_code': 189151184383123544, 'n': 8, 'trace_an': 0}
-
id: 274713008
{'hecke_orbit_code': 189151184383123544, 'n': 9, 'trace_an': 0}
-
id: 274713009
{'hecke_orbit_code': 189151184383123544, 'n': 10, 'trace_an': 0}
-
id: 274713010
{'hecke_orbit_code': 189151184383123544, 'n': 11, 'trace_an': 0}
-
id: 274713011
{'hecke_orbit_code': 189151184383123544, 'n': 12, 'trace_an': 0}
-
id: 274713012
{'hecke_orbit_code': 189151184383123544, 'n': 13, 'trace_an': -2}
-
id: 274713013
{'hecke_orbit_code': 189151184383123544, 'n': 14, 'trace_an': 0}
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id: 274713014
{'hecke_orbit_code': 189151184383123544, 'n': 15, 'trace_an': 0}
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id: 274713015
{'hecke_orbit_code': 189151184383123544, 'n': 16, 'trace_an': 0}
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id: 274713016
{'hecke_orbit_code': 189151184383123544, 'n': 17, 'trace_an': -2}
-
id: 274713017
{'hecke_orbit_code': 189151184383123544, 'n': 18, 'trace_an': 0}
-
id: 274713018
{'hecke_orbit_code': 189151184383123544, 'n': 19, 'trace_an': -6}
-
id: 274713019
{'hecke_orbit_code': 189151184383123544, 'n': 20, 'trace_an': 0}
-
id: 274713020
{'hecke_orbit_code': 189151184383123544, 'n': 21, 'trace_an': 0}
-
id: 274713021
{'hecke_orbit_code': 189151184383123544, 'n': 22, 'trace_an': 0}
-
id: 274713022
{'hecke_orbit_code': 189151184383123544, 'n': 23, 'trace_an': -4}
-
id: 274713023
{'hecke_orbit_code': 189151184383123544, 'n': 24, 'trace_an': 0}
-
id: 274713024
{'hecke_orbit_code': 189151184383123544, 'n': 25, 'trace_an': 4}
-
id: 274713025
{'hecke_orbit_code': 189151184383123544, 'n': 26, 'trace_an': 0}
-
id: 274713026
{'hecke_orbit_code': 189151184383123544, 'n': 27, 'trace_an': 0}
-
id: 274713027
{'hecke_orbit_code': 189151184383123544, 'n': 28, 'trace_an': 0}
-
id: 274713028
{'hecke_orbit_code': 189151184383123544, 'n': 29, 'trace_an': -4}
-
id: 274713029
{'hecke_orbit_code': 189151184383123544, 'n': 30, 'trace_an': 0}
-
id: 274713030
{'hecke_orbit_code': 189151184383123544, 'n': 31, 'trace_an': -6}
-
id: 274713031
{'hecke_orbit_code': 189151184383123544, 'n': 32, 'trace_an': 0}
-
id: 274713032
{'hecke_orbit_code': 189151184383123544, 'n': 33, 'trace_an': 0}
-
id: 274713033
{'hecke_orbit_code': 189151184383123544, 'n': 34, 'trace_an': 0}
-
id: 274713034
{'hecke_orbit_code': 189151184383123544, 'n': 35, 'trace_an': 0}
-
id: 274713035
{'hecke_orbit_code': 189151184383123544, 'n': 36, 'trace_an': 0}
-
id: 274713036
{'hecke_orbit_code': 189151184383123544, 'n': 37, 'trace_an': -4}
-
id: 274713037
{'hecke_orbit_code': 189151184383123544, 'n': 38, 'trace_an': 0}
-
id: 274713038
{'hecke_orbit_code': 189151184383123544, 'n': 39, 'trace_an': 0}
-
id: 274713039
{'hecke_orbit_code': 189151184383123544, 'n': 40, 'trace_an': 0}
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id: 274713040
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