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{'Nk2': 31200, 'analytic_conductor': 62.2833135765987, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [13, 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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 2700, 'field_disc_factorization': [[2, 2], [3, 3], [5, 2]], 'field_poly': [-20, -15, 0, 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, [-20, -15, 0, 1]], [11, [20, -15, 0, 1]], [17, [-12, -3, 6, 1]], [19, [4, -12, -3, 1]]], 'hecke_orbit': 37, 'hecke_orbit_code': 162129586618900088, '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': '7800.2.a.bk', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '7800.2.a.bk', 'nf_label': '3.3.2700.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta _{1}q^{7}+q^{9}-\\beta _{1}q^{11}-q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7800.2.a', 'trace_display': [0, -3, 0, 0], 'trace_hash': 1514884314925333759, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.925', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 9, 4], [[[2, -1], [3, -1], [5, 1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, -1], [13, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, 1], [5, 1], [13, 1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, 1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [13, 1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, -1]], 7, 4], [[[2, -1], [3, -1], [5, -1], [13, 1]], 7, 2], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, 1]], 8, 6]], 'ALdims': [7, 7, 7, 7, 8, 5, 7, 9, 8, 5, 7, 9, 7, 7, 7, 7], 'Nk2': 31200, 'analytic_conductor': 62.2833135765987, '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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 114, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33562232, '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, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '7800.2.a', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1728, 'mf_new_dim': 114, 'num_forms': 53, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 114, 'sturm_bound': 3360, 'trace_bound': 17, 'trace_display': [0, 0, 0, 4], 'traces': [114, 0, 0, 0, 0, 0, 4, 0, 114, 0, 0, 0, -2, 0, 0, 0, -4, 0, -12, 0, 4, 0, -24, 0, 0, 0, 0, 0, -4, 0, 4, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 16, 0, 0, 0, 16, 0, 90, 0, 0, 0, 4, 0, 0, 0, 4, 0, 8, 0, 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0, -396, 0, 88, 0, 0, 0, -40, 0, -176, 0, -232, 0, -28, 0, 0, 0, 504, 0, 48, 0, -148, 0, 160, 0, 0, 0, -40, 0, 304, 0, -156, 0, -72, 0, 0, 0, 228, 0, 528, 0, 368, 0, -180, 0, 0, 0, -336, 0, 64, 0, -8, 0, 360, 0, 0, 0, -248, 0, -324, 0, -32, 0, 96, 0, 0, 0, 16, 0, 88, 0, 84, 0, 548, 0, 0, 0, 648, 0, 496, 0, 192, 0, 496, 0, 0, 0, 52, 0, 1248, 0, 124], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48875314
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618900088, 'source_is_minimal': True, 'source_label': '7800.2.a.bk.1.3', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618900088, 'target_is_minimal': True, 'target_label': '7800.2.a.bk.1.3', 'target_level': 7800, 'twist_class_label': '7800.2.a.bk.1.3', 'twist_class_level': 7800, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48875315
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 162129586618900088, 'source_is_minimal': True, 'source_label': '7800.2.a.bk.1.3', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383123064, 'target_is_minimal': True, 'target_label': '7800.2.a.bq.1.1', 'target_level': 7800, 'twist_class_label': '7800.2.a.bk.1.3', 'twist_class_level': 7800, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4576400
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 162129586618900088, 'p': 2}
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id: 4576401
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 162129586618900088, 'p': 3}
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id: 4576402
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 162129586618900088, 'p': 5}
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id: 4576403
{'charpoly_factorization': [[[-20, -15, 0, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 7}
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id: 4576404
{'charpoly_factorization': [[[20, -15, 0, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 11}
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id: 4576405
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 162129586618900088, 'p': 13}
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id: 4576406
{'charpoly_factorization': [[[-12, -3, 6, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 17}
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id: 4576407
{'charpoly_factorization': [[[4, -12, -3, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 19}
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id: 4576408
{'charpoly_factorization': [[[80, -60, 0, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 23}
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id: 4576409
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 162129586618900088, 'p': 29}
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id: 4576410
{'charpoly_factorization': [[[20, -15, 0, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 31}
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id: 4576411
{'charpoly_factorization': [[[-28, 12, 9, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 37}
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id: 4576412
{'charpoly_factorization': [[[24, -12, -3, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 41}
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id: 4576413
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 162129586618900088, 'p': 43}
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id: 4576414
{'charpoly_factorization': [[[31, -27, 3, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 47}
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id: 4576415
{'charpoly_factorization': [[[-139, -57, 3, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 53}
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id: 4576416
{'charpoly_factorization': [[[-58, -63, -6, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 59}
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id: 4576417
{'charpoly_factorization': [[[-532, -123, 6, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 61}
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id: 4576418
{'charpoly_factorization': [[[49, -27, -3, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 67}
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id: 4576419
{'charpoly_factorization': [[[28, 12, -9, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 71}
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id: 4576420
{'charpoly_factorization': [[[16, -12, -12, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 73}
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id: 4576421
{'charpoly_factorization': [[[100, 0, -15, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 79}
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id: 4576422
{'charpoly_factorization': [[[342, -63, -6, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 83}
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id: 4576423
{'charpoly_factorization': [[[192, -48, -6, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 89}
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id: 4576424
{'charpoly_factorization': [[[-256, -12, 12, 1], 1]], 'hecke_orbit_code': 162129586618900088, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 37, 'label': '7800.2.a.bk', 'level': 7800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 271285000
{'hecke_orbit_code': 162129586618900088, 'n': 1, 'trace_an': 3}
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id: 271285001
{'hecke_orbit_code': 162129586618900088, 'n': 2, 'trace_an': 0}
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id: 271285002
{'hecke_orbit_code': 162129586618900088, 'n': 3, 'trace_an': -3}
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id: 271285003
{'hecke_orbit_code': 162129586618900088, 'n': 4, 'trace_an': 0}
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id: 271285004
{'hecke_orbit_code': 162129586618900088, 'n': 5, 'trace_an': 0}
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id: 271285005
{'hecke_orbit_code': 162129586618900088, 'n': 6, 'trace_an': 0}
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id: 271285006
{'hecke_orbit_code': 162129586618900088, 'n': 7, 'trace_an': 0}
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id: 271285007
{'hecke_orbit_code': 162129586618900088, 'n': 8, 'trace_an': 0}
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id: 271285008
{'hecke_orbit_code': 162129586618900088, 'n': 9, 'trace_an': 3}
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id: 271285009
{'hecke_orbit_code': 162129586618900088, 'n': 10, 'trace_an': 0}
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id: 271285010
{'hecke_orbit_code': 162129586618900088, 'n': 11, 'trace_an': 0}
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id: 271285011
{'hecke_orbit_code': 162129586618900088, 'n': 12, 'trace_an': 0}
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id: 271285012
{'hecke_orbit_code': 162129586618900088, 'n': 13, 'trace_an': -3}
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id: 271285013
{'hecke_orbit_code': 162129586618900088, 'n': 14, 'trace_an': 0}
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id: 271285014
{'hecke_orbit_code': 162129586618900088, 'n': 15, 'trace_an': 0}
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id: 271285015
{'hecke_orbit_code': 162129586618900088, 'n': 16, 'trace_an': 0}
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id: 271285016
{'hecke_orbit_code': 162129586618900088, 'n': 17, 'trace_an': -6}
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id: 271285017
{'hecke_orbit_code': 162129586618900088, 'n': 18, 'trace_an': 0}
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id: 271285018
{'hecke_orbit_code': 162129586618900088, 'n': 19, 'trace_an': 3}
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id: 271285019
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