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{'Nk2': 15456, 'analytic_conductor': 30.85419534102274, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 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': [3864, 1, [967, 1933, 1289, 2761, 2857], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 229, 'field_disc_factorization': [[229, 1]], 'field_poly': [-1, -4, 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': [[5, [2, -5, 1, 1]], [11, [-4, -11, -2, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934633752, 'hecke_ring_generator_nbound': 5, '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': '3864.2.a.l', 'level': 3864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '3864.2.a.l', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta _{2}q^{5}-q^{7}+q^{9}+(1+\\beta _{1}+\\cdots)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': '3864.2.a', 'trace_display': [0, -3, -1, -3], 'trace_hash': 2017475427370112184, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.852', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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{'AL_dims': [[[[2, 1], [3, 1], [7, 1], [23, 1]], 4, 1], [[[2, -1], [3, -1], [7, -1], [23, -1]], 2, 1], [[[2, 1], [3, 1], [7, -1], [23, -1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [23, 1]], 3, 1], [[[2, -1], [3, -1], [7, -1], [23, 1]], 7, 3], [[[2, -1], [3, 1], [7, -1], [23, -1]], 5, 2], [[[2, 1], [3, -1], [7, -1], [23, -1]], 5, 2], [[[2, -1], [3, -1], [7, 1], [23, -1]], 6, 1], [[[2, 1], [3, -1], [7, 1], [23, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [23, 1]], 3, 1], [[[2, -1], [3, 1], [7, -1], [23, 1]], 4, 1], [[[2, 1], [3, -1], [7, 1], [23, 1]], 4, 1], [[[2, -1], [3, 1], [7, 1], [23, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [23, 1]], 3, 1], [[[2, 1], [3, 1], [7, 1], [23, -1]], 4, 3], [[[2, -1], [3, 1], [7, 1], [23, 1]], 6, 1]], 'ALdims': [4, 4, 3, 5, 4, 4, 3, 5, 6, 3, 4, 5, 3, 6, 7, 2], 'Nk2': 15456, 'analytic_conductor': 30.85419534102274, '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': [3864, 1, [967, 1933, 1289, 2761, 2857], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 753, 'dim': 68, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33558296, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6], 'label': '3864.2.a', 'level': 3864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 784, 'mf_new_dim': 68, 'num_forms': 24, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1536, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [68, 0, 0, 0, -8, 0, 0, 0, 68, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, -8, 0, 16, 0, 68, 0, 0, 0, -8, 0, 16, 0, 0, 0, 16, 0, 8, 0, 0, 0, -16, 0, 16, 0, 0, 0, 32, 0, -8, 0, 0, 0, 0, 0, 32, 0, 68, 0, 16, 0, 0, 0, 16, 0, 40, 0, 0, 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mf_twists_cc • Show schema
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id: 47287930
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49539595934633752, 'source_is_minimal': True, 'source_label': '3864.2.a.l.1.3', 'source_level': 3864, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539595934633752, 'target_is_minimal': True, 'target_label': '3864.2.a.l.1.3', 'target_level': 3864, 'twist_class_label': '3864.2.a.l.1.3', 'twist_class_level': 3864, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47287931
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49539595934633752, 'source_is_minimal': True, 'source_label': '3864.2.a.l.1.3', 'source_level': 3864, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 216172782147345968, 'target_is_minimal': False, 'target_label': '7728.2.a.bw.1.3', 'target_level': 7728, 'twist_class_label': '3864.2.a.l.1.3', 'twist_class_level': 3864, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3401275
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 49539595934633752, 'p': 2}
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id: 3401276
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 49539595934633752, 'p': 3}
-
id: 3401277
{'charpoly_factorization': [[[2, -5, 1, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 5}
-
id: 3401278
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 49539595934633752, 'p': 7}
-
id: 3401279
{'charpoly_factorization': [[[-4, -11, -2, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 11}
-
id: 3401280
{'charpoly_factorization': [[[2, -1, -3, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 13}
-
id: 3401281
{'charpoly_factorization': [[[-2, 9, 8, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 17}
-
id: 3401282
{'charpoly_factorization': [[[196, -45, -4, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 19}
-
id: 3401283
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 49539595934633752, 'p': 23}
-
id: 3401284
{'charpoly_factorization': [[[-214, 5, 12, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 29}
-
id: 3401285
{'charpoly_factorization': [[[8, -1, -4, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 31}
-
id: 3401286
{'charpoly_factorization': [[[-58, -89, -2, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 37}
-
id: 3401287
{'charpoly_factorization': [[[-74, 53, 16, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 41}
-
id: 3401288
{'charpoly_factorization': [[[-4, -1, 3, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 43}
-
id: 3401289
{'charpoly_factorization': [[[-128, 92, -18, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 47}
-
id: 3401290
{'charpoly_factorization': [[[26, 35, 11, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 53}
-
id: 3401291
{'charpoly_factorization': [[[196, 63, -19, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 59}
-
id: 3401292
{'charpoly_factorization': [[[-1186, -147, 9, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 61}
-
id: 3401293
{'charpoly_factorization': [[[188, -79, -3, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 67}
-
id: 3401294
{'charpoly_factorization': [[[-1736, -235, 9, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 71}
-
id: 3401295
{'charpoly_factorization': [[[-106, -99, -8, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 73}
-
id: 3401296
{'charpoly_factorization': [[[64, 65, 18, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 79}
-
id: 3401297
{'charpoly_factorization': [[[236, -85, -4, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 83}
-
id: 3401298
{'charpoly_factorization': [[[386, -211, 3, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 89}
-
id: 3401299
{'charpoly_factorization': [[[-898, -35, 16, 1], 1]], 'hecke_orbit_code': 49539595934633752, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '3864.2.a.l', 'level': 3864, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 216820000
{'hecke_orbit_code': 49539595934633752, 'n': 1, 'trace_an': 3}
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id: 216820001
{'hecke_orbit_code': 49539595934633752, 'n': 2, 'trace_an': 0}
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id: 216820002
{'hecke_orbit_code': 49539595934633752, 'n': 3, 'trace_an': -3}
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id: 216820003
{'hecke_orbit_code': 49539595934633752, 'n': 4, 'trace_an': 0}
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id: 216820004
{'hecke_orbit_code': 49539595934633752, 'n': 5, 'trace_an': -1}
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id: 216820005
{'hecke_orbit_code': 49539595934633752, 'n': 6, 'trace_an': 0}
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id: 216820006
{'hecke_orbit_code': 49539595934633752, 'n': 7, 'trace_an': -3}
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id: 216820007
{'hecke_orbit_code': 49539595934633752, 'n': 8, 'trace_an': 0}
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id: 216820008
{'hecke_orbit_code': 49539595934633752, 'n': 9, 'trace_an': 3}
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id: 216820009
{'hecke_orbit_code': 49539595934633752, 'n': 10, 'trace_an': 0}
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id: 216820010
{'hecke_orbit_code': 49539595934633752, 'n': 11, 'trace_an': 2}
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id: 216820011
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