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{'Nk2': 34496, 'analytic_conductor': 68.8629867031522, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, -1], [11, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[3, [0, 1]], [5, [0, 1]], [13, [-6, 1]], [17, [0, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444120496, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [20, 32, 30, 21, 24, 24, 27, 27], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [137, 136, 138, 135, 144, 132, 129, 141], 'Nk2': 34496, 'analytic_conductor': 68.8629867031522, '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': [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1297, 'dim': 205, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13, 17], 'hecke_orbit_code': 33563056, '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, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 10, 12], 'label': '8624.2.a', 'level': 8624, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 1392, 'mf_new_dim': 205, 'num_forms': 85, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 205, 'sturm_bound': 2688, 'trace_bound': 37, 'trace_display': [0, -2, -2, 0], 'traces': [205, 0, -2, 0, -2, 0, 0, 0, 205, 0, 3, 0, -2, 0, 2, 0, 2, 0, -12, 0, 0, 0, -6, 0, 207, 0, -14, 0, 6, 0, -18, 0, 0, 0, 0, 0, -10, 0, -16, 0, 2, 0, -16, 0, -2, 0, 28, 0, 0, 0, 12, 0, -2, 0, 4, 0, 8, 0, -22, 0, 6, 0, 0, 0, 28, 0, 14, 0, 24, 0, 6, 0, 2, 0, -72, 0, 0, 0, -36, 0, 213, 0, 32, 0, 4, 0, -40, 0, -2, 0, 0, 0, 24, 0, -48, 0, -10, 0, 9, 0, 22, 0, 36, 0, 0, 0, -32, 0, 6, 0, 14, 0, 30, 0, 30, 0, 14, 0, 0, 0, 205, 0, -8, 0, -36, 0, -8, 0, 8, 0, 0, 0, 0, 0, 14, 0, 30, 0, -40, 0, 56, 0, 10, 0, 36, 0, 0, 0, -42, 0, 84, 0, 58, 0, 54, 0, -10, 0, 44, 0, 0, 0, 204, 0, 0, 0, 32, 0, 219, 0, -28, 0, -10, 0, 0, 0, 68, 0, 38, 0, 38, 0, 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0, 56, 0, 38, 0, 138, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47932716
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120496, 'source_is_minimal': False, 'source_label': '8624.2.a.p.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444120496, 'target_is_minimal': False, 'target_label': '8624.2.a.p.1.1', 'target_level': 8624, 'twist_class_label': '616.2.a.d.1.1', 'twist_class_level': 616, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47932717
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120496, 'source_is_minimal': False, 'source_label': '8624.2.a.p.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543040728, 'target_is_minimal': False, 'target_label': '4312.2.a.e.1.1', 'target_level': 4312, 'twist_class_label': '616.2.a.d.1.1', 'twist_class_level': 616, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47932718
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120496, 'source_is_minimal': False, 'source_label': '8624.2.a.p.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778640, 'target_is_minimal': False, 'target_label': '1232.2.a.g.1.1', 'target_level': 1232, 'twist_class_label': '616.2.a.d.1.1', 'twist_class_level': 616, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47932719
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120496, 'source_is_minimal': False, 'source_label': '8624.2.a.p.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666536, 'target_is_minimal': True, 'target_label': '616.2.a.d.1.1', 'target_level': 616, 'twist_class_label': '616.2.a.d.1.1', 'twist_class_level': 616, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47932720
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120496, 'source_is_minimal': False, 'source_label': '8624.2.a.p.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698857792, 'target_is_minimal': False, 'target_label': '4928.2.a.r.1.1', 'target_level': 4928, 'twist_class_label': '616.2.a.d.1.1', 'twist_class_level': 616, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47932721
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120496, 'source_is_minimal': False, 'source_label': '8624.2.a.p.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071487296, 'target_is_minimal': False, 'target_label': '4928.2.a.q.1.1', 'target_level': 4928, 'twist_class_label': '616.2.a.d.1.1', 'twist_class_level': 616, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47932722
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120496, 'source_is_minimal': False, 'source_label': '8624.2.a.p.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307264936, 'target_is_minimal': False, 'target_label': '5544.2.a.k.1.1', 'target_level': 5544, 'twist_class_label': '616.2.a.d.1.1', 'twist_class_level': 616, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47932723
{'conductor': 308, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120496, 'source_is_minimal': False, 'source_label': '8624.2.a.p.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170413688, 'target_is_minimal': False, 'target_label': '6776.2.a.f.1.1', 'target_level': 6776, 'twist_class_label': '616.2.a.d.1.1', 'twist_class_level': 616, 'twisting_char_label': '308.307', 'twisting_conrey_index': 307, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4804175
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 2}
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id: 4804176
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 3}
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id: 4804177
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 5}
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id: 4804178
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 7}
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id: 4804179
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 11}
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id: 4804180
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 13}
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id: 4804181
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 17}
-
id: 4804182
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 19}
-
id: 4804183
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 23}
-
id: 4804184
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 29}
-
id: 4804185
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 31}
-
id: 4804186
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 37}
-
id: 4804187
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 41}
-
id: 4804188
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 43}
-
id: 4804189
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 47}
-
id: 4804190
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 53}
-
id: 4804191
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 59}
-
id: 4804192
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 61}
-
id: 4804193
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 67}
-
id: 4804194
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 71}
-
id: 4804195
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 73}
-
id: 4804196
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 79}
-
id: 4804197
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 83}
-
id: 4804198
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 89}
-
id: 4804199
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444120496, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '8624.2.a.p', 'level': 8624, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 60915325
{'hecke_orbit_code': 67553994444120496, 'n': 1, 'trace_an': 1}
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id: 60915326
{'hecke_orbit_code': 67553994444120496, 'n': 2, 'trace_an': 0}
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id: 60915327
{'hecke_orbit_code': 67553994444120496, 'n': 3, 'trace_an': 0}
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id: 60915328
{'hecke_orbit_code': 67553994444120496, 'n': 4, 'trace_an': 0}
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id: 60915329
{'hecke_orbit_code': 67553994444120496, 'n': 5, 'trace_an': 0}
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id: 60915330
{'hecke_orbit_code': 67553994444120496, 'n': 6, 'trace_an': 0}
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id: 60915331
{'hecke_orbit_code': 67553994444120496, 'n': 7, 'trace_an': 0}
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id: 60915332
{'hecke_orbit_code': 67553994444120496, 'n': 8, 'trace_an': 0}
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id: 60915333
{'hecke_orbit_code': 67553994444120496, 'n': 9, 'trace_an': -3}
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