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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': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -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, [-4, 1, 1]], [11, [-16, -2, 1]], [13, [-2, 1]], [17, [2, 5, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854677592, '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': False, 'label': '8280.2.a.be', '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.p', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-\\beta q^{7}+2\\beta q^{11}+2q^{13}+(-2+\\cdots)q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, '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, 2, -1], 'trace_hash': 889131544711689298, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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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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124, 0, -96, 0, 0, 0, 64, 0, 200, 0, 0, 0, -108, 0, -384, 0, 0, 0, -168, 0, 440, 0, 0, 0, 264, 0, 16, 0, 0, 0, 304, 0, -104, 0, 0, 0, 56, 0, -192, 0, 0, 0, -160, 0, -512, 0, 0, 0, 8, 0, -200, 0, 0, 0, 4, 0, -104, 0, 0, 0, 560, 0, 16, 0, 0, 0, -44, 0, 20, 0, 0, 0, 24, 0, 148, 0, 0, 0, -248, 0, -164, 0, 0, 0, 288, 0, -40, 0, 0, 0, 308, 0, -84, 0, 0, 0, -160, 0, 388], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48739829
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854677592, 'source_is_minimal': False, 'source_label': '8280.2.a.be.1.2', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854677592, 'target_is_minimal': False, 'target_label': '8280.2.a.be.1.2', 'target_level': 8280, 'twist_class_label': '2760.2.a.p.1.2', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48739830
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854677592, 'source_is_minimal': False, 'source_label': '8280.2.a.be.1.2', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444114632, 'target_is_minimal': True, 'target_label': '2760.2.a.p.1.2', 'target_level': 2760, 'twist_class_label': '2760.2.a.p.1.2', 'twist_class_level': 2760, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48739831
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854677592, 'source_is_minimal': False, 'source_label': '8280.2.a.be.1.2', 'source_level': 8280, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736786320, 'target_is_minimal': False, 'target_label': '5520.2.a.bh.1.1', 'target_level': 5520, 'twist_class_label': '2760.2.a.p.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: 4265375
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854677592, 'p': 2}
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id: 4265376
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854677592, 'p': 3}
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id: 4265377
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 135107988854677592, 'p': 5}
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id: 4265378
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 7}
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id: 4265379
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 11}
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id: 4265380
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 135107988854677592, 'p': 13}
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id: 4265381
{'charpoly_factorization': [[[2, 5, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 17}
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id: 4265382
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 19}
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id: 4265383
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 135107988854677592, 'p': 23}
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id: 4265384
{'charpoly_factorization': [[[38, 13, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 29}
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id: 4265385
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 31}
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id: 4265386
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 37}
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id: 4265387
{'charpoly_factorization': [[[26, 11, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 41}
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id: 4265388
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 43}
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id: 4265389
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 135107988854677592, 'p': 47}
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id: 4265390
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 53}
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id: 4265391
{'charpoly_factorization': [[[16, 9, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 59}
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id: 4265392
{'charpoly_factorization': [[[-152, -2, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 61}
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id: 4265393
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 67}
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id: 4265394
{'charpoly_factorization': [[[-8, 11, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 71}
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id: 4265395
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 135107988854677592, 'p': 73}
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id: 4265396
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 79}
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id: 4265397
{'charpoly_factorization': [[[4, -13, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 83}
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id: 4265398
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 135107988854677592, 'p': 89}
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id: 4265399
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 135107988854677592, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '8280.2.a.be', '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: 266085000
{'hecke_orbit_code': 135107988854677592, 'n': 1, 'trace_an': 2}
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id: 266085001
{'hecke_orbit_code': 135107988854677592, 'n': 2, 'trace_an': 0}
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id: 266085002
{'hecke_orbit_code': 135107988854677592, 'n': 3, 'trace_an': 0}
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id: 266085003
{'hecke_orbit_code': 135107988854677592, 'n': 4, 'trace_an': 0}
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id: 266085004
{'hecke_orbit_code': 135107988854677592, 'n': 5, 'trace_an': 2}
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id: 266085005
{'hecke_orbit_code': 135107988854677592, 'n': 6, 'trace_an': 0}
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id: 266085006
{'hecke_orbit_code': 135107988854677592, 'n': 7, 'trace_an': -1}
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id: 266085007
{'hecke_orbit_code': 135107988854677592, 'n': 8, 'trace_an': 0}
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id: 266085008
{'hecke_orbit_code': 135107988854677592, 'n': 9, 'trace_an': 0}
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id: 266085009
{'hecke_orbit_code': 135107988854677592, 'n': 10, 'trace_an': 0}
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id: 266085010
{'hecke_orbit_code': 135107988854677592, 'n': 11, 'trace_an': 2}
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id: 266085011
{'hecke_orbit_code': 135107988854677592, 'n': 12, 'trace_an': 0}
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id: 266085012
{'hecke_orbit_code': 135107988854677592, 'n': 13, 'trace_an': 4}
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id: 266085013
{'hecke_orbit_code': 135107988854677592, 'n': 14, 'trace_an': 0}
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id: 266085014
{'hecke_orbit_code': 135107988854677592, 'n': 15, 'trace_an': 0}
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id: 266085015
{'hecke_orbit_code': 135107988854677592, 'n': 16, 'trace_an': 0}
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id: 266085016
{'hecke_orbit_code': 135107988854677592, 'n': 17, 'trace_an': -5}
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id: 266085017
{'hecke_orbit_code': 135107988854677592, 'n': 18, 'trace_an': 0}
-
id: 266085018
{'hecke_orbit_code': 135107988854677592, 'n': 19, 'trace_an': -6}
-
id: 266085019
{'hecke_orbit_code': 135107988854677592, 'n': 20, 'trace_an': 0}
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id: 266085020
{'hecke_orbit_code': 135107988854677592, 'n': 21, 'trace_an': 0}
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id: 266085021
{'hecke_orbit_code': 135107988854677592, 'n': 22, 'trace_an': 0}
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id: 266085022
{'hecke_orbit_code': 135107988854677592, 'n': 23, 'trace_an': 2}
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id: 266085023
{'hecke_orbit_code': 135107988854677592, 'n': 24, 'trace_an': 0}
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