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{'Nk2': 9472, 'analytic_conductor': 18.908575198639195, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [37, 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': [2368, 1, [1407, 1925, 705], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -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': [[3, [-1, -3, 1]], [5, [-3, -1, 1]], [7, [-12, 2, 1]], [11, [-3, 1, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345189696, 'hecke_ring_generator_nbound': 3, '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': '2368.2.a.ba', 'level': 2368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.a.a', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{3}+\\beta q^{5}+(-2+2\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2368.2.a', 'trace_display': [0, 3, 1, -2], 'trace_hash': 323488137476904288, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.301', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [37, -1]], 17, 11], [[[2, 1], [37, -1]], 19, 11], [[[2, -1], [37, 1]], 19, 7], [[[2, 1], [37, 1]], 17, 7]], 'ALdims': [17, 19, 19, 17], 'Nk2': 9472, 'analytic_conductor': 18.908575198639195, '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': [2368, 1, [1407, 1925, 705], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 293, 'dim': 72, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 11], 'hecke_orbit_code': 33556800, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 4, 4, 4, 8], 'label': '2368.2.a', 'level': 2368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 37], 'level_radical': 74, 'mf_dim': 316, 'mf_new_dim': 72, 'num_forms': 36, 'plus_dim': 34, 'prim_orbit_index': 1, 'relative_dim': 72, 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mf_twists_cc • Show schema
Hide schema
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id: 48600354
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590345189696, 'target_is_minimal': False, 'target_label': '2368.2.a.ba.1.2', 'target_level': 2368, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48600355
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326225728, 'target_is_minimal': False, 'target_label': '2368.2.a.s.1.1', 'target_level': 2368, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48600356
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33554506, 'target_is_minimal': True, 'target_label': '74.2.a.a.1.2', 'target_level': 74, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48600357
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407504, 'target_is_minimal': False, 'target_label': '592.2.a.f.1.1', 'target_level': 592, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48600358
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482045136, 'target_is_minimal': False, 'target_label': '5328.2.a.bf.1.2', 'target_level': 5328, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48600359
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679889562, 'target_is_minimal': False, 'target_label': '666.2.a.j.1.2', 'target_level': 666, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48600360
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028865771996986, 'target_is_minimal': False, 'target_label': '1850.2.b.i.149.4', 'target_level': 1850, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48600361
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580966202, 'target_is_minimal': False, 'target_label': '1850.2.a.u.1.1', 'target_level': 1850, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48600362
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028865771996986, 'target_is_minimal': False, 'target_label': '1850.2.b.i.149.1', 'target_level': 1850, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48600363
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33558058, 'target_is_minimal': False, 'target_label': '3626.2.a.a.1.1', 'target_level': 3626, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48600364
{'conductor': 88, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444120826, 'target_is_minimal': False, 'target_label': '8954.2.a.p.1.2', 'target_level': 8954, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '88.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 48600365
{'conductor': 296, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 117093590345189696, 'source_is_minimal': False, 'source_label': '2368.2.a.ba.1.2', 'source_level': 2368, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934632626, 'target_is_minimal': False, 'target_label': '2738.2.a.l.1.2', 'target_level': 2738, 'twist_class_label': '74.2.a.a.1.2', 'twist_class_level': 74, 'twisting_char_label': '296.147', 'twisting_conrey_index': 147, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2610175
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 117093590345189696, 'p': 2}
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id: 2610176
{'charpoly_factorization': [[[-1, -3, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 3}
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id: 2610177
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 5}
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id: 2610178
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 7}
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id: 2610179
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 11}
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id: 2610180
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 13}
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id: 2610181
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 117093590345189696, 'p': 17}
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id: 2610182
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 117093590345189696, 'p': 19}
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id: 2610183
{'charpoly_factorization': [[[-27, -3, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 23}
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id: 2610184
{'charpoly_factorization': [[[-27, 3, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 29}
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id: 2610185
{'charpoly_factorization': [[[-1, 3, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 31}
-
id: 2610186
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 117093590345189696, 'p': 37}
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id: 2610187
{'charpoly_factorization': [[[-9, -9, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 41}
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id: 2610188
{'charpoly_factorization': [[[-4, 6, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 43}
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id: 2610189
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 47}
-
id: 2610190
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 117093590345189696, 'p': 53}
-
id: 2610191
{'charpoly_factorization': [[[36, -14, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 59}
-
id: 2610192
{'charpoly_factorization': [[[-79, -3, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 61}
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id: 2610193
{'charpoly_factorization': [[[-51, -11, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 67}
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id: 2610194
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 117093590345189696, 'p': 71}
-
id: 2610195
{'charpoly_factorization': [[[107, 21, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 73}
-
id: 2610196
{'charpoly_factorization': [[[-147, -7, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 79}
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id: 2610197
{'charpoly_factorization': [[[48, -20, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 83}
-
id: 2610198
{'charpoly_factorization': [[[-48, 4, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 89}
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id: 2610199
{'charpoly_factorization': [[[-204, 4, 1], 1]], 'hecke_orbit_code': 117093590345189696, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '2368.2.a.ba', 'level': 2368, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 260213000
{'hecke_orbit_code': 117093590345189696, 'n': 1, 'trace_an': 2}
-
id: 260213001
{'hecke_orbit_code': 117093590345189696, 'n': 2, 'trace_an': 0}
-
id: 260213002
{'hecke_orbit_code': 117093590345189696, 'n': 3, 'trace_an': 3}
-
id: 260213003
{'hecke_orbit_code': 117093590345189696, 'n': 4, 'trace_an': 0}
-
id: 260213004
{'hecke_orbit_code': 117093590345189696, 'n': 5, 'trace_an': 1}
-
id: 260213005
{'hecke_orbit_code': 117093590345189696, 'n': 6, 'trace_an': 0}
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id: 260213006
{'hecke_orbit_code': 117093590345189696, 'n': 7, 'trace_an': -2}
-
id: 260213007
{'hecke_orbit_code': 117093590345189696, 'n': 8, 'trace_an': 0}
-
id: 260213008
{'hecke_orbit_code': 117093590345189696, 'n': 9, 'trace_an': 5}
-
id: 260213009
{'hecke_orbit_code': 117093590345189696, 'n': 10, 'trace_an': 0}
-
id: 260213010
{'hecke_orbit_code': 117093590345189696, 'n': 11, 'trace_an': -1}
-
id: 260213011
{'hecke_orbit_code': 117093590345189696, 'n': 12, 'trace_an': 0}
-
id: 260213012
{'hecke_orbit_code': 117093590345189696, 'n': 13, 'trace_an': 1}
-
id: 260213013
{'hecke_orbit_code': 117093590345189696, 'n': 14, 'trace_an': 0}
-
id: 260213014
{'hecke_orbit_code': 117093590345189696, 'n': 15, 'trace_an': 8}
-
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