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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': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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, [2, -1, -4, 1]], [11, [20, 2, -6, 1]], [13, [8, -10, 0, 1]], [17, [2, -1, -4, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755753048, 'hecke_ring_generator_nbound': 7, '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': True, 'label': '8280.2.a.bp', '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.bk', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+(1+\\beta _{1})q^{7}+(2+\\beta _{1}+\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, '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, 3, 4], 'trace_hash': 975291670329917336, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.850', 'prec': 17}, 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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: 48955617
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753048, 'source_is_minimal': True, 'source_label': '8280.2.a.bp.1.1', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755753048, 'target_is_minimal': True, 'target_label': '8280.2.a.bp.1.1', 'target_level': 8280, 'twist_class_label': '8280.2.a.bk.1.1', 'twist_class_level': 8280, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48955618
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753048, 'source_is_minimal': True, 'source_label': '8280.2.a.bp.1.1', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618900568, 'target_is_minimal': True, 'target_label': '8280.2.a.bk.1.1', 'target_level': 8280, 'twist_class_label': '8280.2.a.bk.1.1', '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: 4709500
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 184647584755753048, 'p': 2}
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id: 4709501
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 184647584755753048, 'p': 3}
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id: 4709502
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 184647584755753048, 'p': 5}
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id: 4709503
{'charpoly_factorization': [[[2, -1, -4, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 7}
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id: 4709504
{'charpoly_factorization': [[[20, 2, -6, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 11}
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id: 4709505
{'charpoly_factorization': [[[8, -10, 0, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 13}
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id: 4709506
{'charpoly_factorization': [[[2, -1, -4, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 17}
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id: 4709507
{'charpoly_factorization': [[[-8, -14, -4, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 19}
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id: 4709508
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 184647584755753048, 'p': 23}
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id: 4709509
{'charpoly_factorization': [[[-10, -3, 4, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 29}
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id: 4709510
{'charpoly_factorization': [[[-4, -7, 2, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 31}
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id: 4709511
{'charpoly_factorization': [[[8, -5, -2, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 37}
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id: 4709512
{'charpoly_factorization': [[[-64, 57, -14, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 41}
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id: 4709513
{'charpoly_factorization': [[[64, -40, 0, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 43}
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id: 4709514
{'charpoly_factorization': [[[-80, 66, -16, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 47}
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id: 4709515
{'charpoly_factorization': [[[2, -1, -4, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 53}
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id: 4709516
{'charpoly_factorization': [[[-142, -67, -4, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 59}
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id: 4709517
{'charpoly_factorization': [[[68, -2, -14, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 61}
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id: 4709518
{'charpoly_factorization': [[[-20, -109, -6, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 67}
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id: 4709519
{'charpoly_factorization': [[[1868, -199, -10, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 71}
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id: 4709520
{'charpoly_factorization': [[[764, -130, -10, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 73}
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id: 4709521
{'charpoly_factorization': [[[-256, -128, 4, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 79}
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id: 4709522
{'charpoly_factorization': [[[4, 3, -10, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 83}
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id: 4709523
{'charpoly_factorization': [[[32, 56, 20, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 89}
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id: 4709524
{'charpoly_factorization': [[[-472, -44, 10, 1], 1]], 'hecke_orbit_code': 184647584755753048, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '8280.2.a.bp', '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: 274240000
{'hecke_orbit_code': 184647584755753048, 'n': 1, 'trace_an': 3}
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id: 274240001
{'hecke_orbit_code': 184647584755753048, 'n': 2, 'trace_an': 0}
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id: 274240002
{'hecke_orbit_code': 184647584755753048, 'n': 3, 'trace_an': 0}
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id: 274240003
{'hecke_orbit_code': 184647584755753048, 'n': 4, 'trace_an': 0}
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id: 274240004
{'hecke_orbit_code': 184647584755753048, 'n': 5, 'trace_an': 3}
-
id: 274240005
{'hecke_orbit_code': 184647584755753048, 'n': 6, 'trace_an': 0}
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id: 274240006
{'hecke_orbit_code': 184647584755753048, 'n': 7, 'trace_an': 4}
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id: 274240007
{'hecke_orbit_code': 184647584755753048, 'n': 8, 'trace_an': 0}
-
id: 274240008
{'hecke_orbit_code': 184647584755753048, 'n': 9, 'trace_an': 0}
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id: 274240009
{'hecke_orbit_code': 184647584755753048, 'n': 10, 'trace_an': 0}
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id: 274240010
{'hecke_orbit_code': 184647584755753048, 'n': 11, 'trace_an': 6}
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id: 274240011
{'hecke_orbit_code': 184647584755753048, 'n': 12, 'trace_an': 0}
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id: 274240012
{'hecke_orbit_code': 184647584755753048, 'n': 13, 'trace_an': 0}
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id: 274240013
{'hecke_orbit_code': 184647584755753048, 'n': 14, 'trace_an': 0}
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id: 274240014
{'hecke_orbit_code': 184647584755753048, 'n': 15, 'trace_an': 0}
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id: 274240015
{'hecke_orbit_code': 184647584755753048, 'n': 16, 'trace_an': 0}
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id: 274240016
{'hecke_orbit_code': 184647584755753048, 'n': 17, 'trace_an': 4}
-
id: 274240017
{'hecke_orbit_code': 184647584755753048, 'n': 18, 'trace_an': 0}
-
id: 274240018
{'hecke_orbit_code': 184647584755753048, 'n': 19, 'trace_an': 4}
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id: 274240019
{'hecke_orbit_code': 184647584755753048, 'n': 20, 'trace_an': 0}
-
id: 274240020
{'hecke_orbit_code': 184647584755753048, 'n': 21, 'trace_an': 0}
-
id: 274240021
{'hecke_orbit_code': 184647584755753048, 'n': 22, 'trace_an': 0}
-
id: 274240022
{'hecke_orbit_code': 184647584755753048, 'n': 23, 'trace_an': -3}
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id: 274240023
{'hecke_orbit_code': 184647584755753048, 'n': 24, 'trace_an': 0}
-
id: 274240024
{'hecke_orbit_code': 184647584755753048, 'n': 25, 'trace_an': 3}
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id: 274240025
{'hecke_orbit_code': 184647584755753048, 'n': 26, 'trace_an': 0}
-
id: 274240026
{'hecke_orbit_code': 184647584755753048, 'n': 27, 'trace_an': 0}
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id: 274240027
{'hecke_orbit_code': 184647584755753048, 'n': 28, 'trace_an': 0}
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id: 274240028
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{'hecke_orbit_code': 184647584755753048, 'n': 997, 'trace_an': 68}
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id: 274240997
{'hecke_orbit_code': 184647584755753048, 'n': 998, 'trace_an': 0}
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id: 274240998
{'hecke_orbit_code': 184647584755753048, 'n': 999, 'trace_an': 0}
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id: 274240999
{'hecke_orbit_code': 184647584755753048, 'n': 1000, 'trace_an': 0}