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{'Nk2': 27720, 'analytic_conductor': 55.33632860074731, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [7, -1], [11, -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': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[13, [-2, 1]], [17, [6, 1]], [19, [4, 1]], [23, [0, 1]], [29, [6, 1]], [31, [4, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717823762, '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, 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': '6930.2.a.z', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'minimal_twist': '2310.2.a.l', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/6930/z'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6930.2.a', 'trace_display': [1, 0, -1, 1], 'trace_hash': 810949104099282361, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.940', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.104', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.852', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, 'traces': [1, 1, 0, 1, -1, 0, 1, 1, 0, -1, 1, 0, 2, 1, 0, 1, -6, 0, -4, -1, 0, 1, 0, 0, 1, 2, 0, 1, -6, 0, -4, 1, 0, -6, -1, 0, 2, -4, 0, -1, -6, 0, -4, 1, 0, 0, 0, 0, 1, 1, 0, 2, -6, 0, -1, 1, 0, -6, 0, 0, 2, -4, 0, 1, -2, 0, -4, -6, 0, -1, 0, 0, 2, 2, 0, -4, 1, 0, 8, -1, 0, -6, -12, 0, 6, -4, 0, 1, -6, 0, 2, 0, 0, 0, 4, 0, 2, 1, 0, 1, 6, 0, -16, 2, 0, -6, 12, 0, 2, -1, 0, 1, -6, 0, 0, -6, 0, 0, -6, 0, 1, 2, 0, -4, -1, 0, -16, 1, 0, -2, -12, 0, -4, -4, 0, -6, 18, 0, 20, -1, 0, 0, 2, 0, 6, 2, 0, 2, -6, 0, 8, -4, 0, 1, 4, 0, -10, 8, 0, -1, 0, 0, -4, -6, 0, -12, -12, 0, -9, 6, 0, -4, -6, 0, 1, 1, 0, -6, -12, 0, 2, 2, 0, 0, -2, 0, -6, 0, 0, 4, 0, 0, 14, 2, 0, 1, 6, 0, -4, 1, 0, 6, -6, 0, 6, -16, 0, 2, -4, 0, 8, -6, 0, 12, 4, 0, -4, 2, 0, -1, -12, 0, 8, 1, 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [5, 1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, -1]], 6, 5], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [5, -1], [7, -1], [11, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, 1]], 5, 2], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, -1]], 3, 2], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [7, 1], [11, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [7, 1], [11, -1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [7, -1], [11, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1], [11, -1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, 1], [11, 1]], 3, 1], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [7, 1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [5, 1], [7, 1], [11, -1]], 3, 1], [[[2, 1], [3, 1], [5, 1], [7, 1], [11, 1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [11, -1]], 5, 4], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [7, 1], [11, -1]], 3, 1]], 'ALdims': [3, 3, 1, 3, 1, 3, 3, 3, 5, 2, 3, 5, 4, 4, 4, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 5, 4, 3, 5, 2, 2, 6], 'Nk2': 27720, 'analytic_conductor': 55.33632860074731, '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': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 100, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561362, '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, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '6930.2.a', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'mf_dim': 1760, 'mf_new_dim': 100, 'num_forms': 65, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 100, 'sturm_bound': 3456, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -16, 0, -16, 0, 0, -4, -24, 0, 100, -8, 0, 0, -16, 0, -8, 0, 0, 0, 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-168, 512, 0, 32, 0, 0, 336, -32, 0, 0, -192, 0, -144, -160, 0, -192, 0, 0, -64, -72, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48577387
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 112589990717823762, 'source_is_minimal': False, 'source_label': '6930.2.a.z.1.1', 'source_level': 6930, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717823762, 'target_is_minimal': False, 'target_label': '6930.2.a.z.1.1', 'target_level': 6930, 'twist_class_label': '2310.2.a.l.1.1', 'twist_class_level': 2310, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48577388
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 112589990717823762, 'source_is_minimal': False, 'source_label': '6930.2.a.z.1.1', 'source_level': 6930, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934632198, 'target_is_minimal': True, 'target_label': '2310.2.a.l.1.1', 'target_level': 2310, 'twist_class_label': '2310.2.a.l.1.1', 'twist_class_level': 2310, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4328325
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 2}
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id: 4328326
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 3}
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id: 4328327
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 5}
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id: 4328328
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 7}
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id: 4328329
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 11}
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id: 4328330
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 13}
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id: 4328331
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 17}
-
id: 4328332
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 19}
-
id: 4328333
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 23}
-
id: 4328334
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 29}
-
id: 4328335
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 31}
-
id: 4328336
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 37}
-
id: 4328337
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 41}
-
id: 4328338
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 43}
-
id: 4328339
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 47}
-
id: 4328340
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 53}
-
id: 4328341
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 59}
-
id: 4328342
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 61}
-
id: 4328343
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 67}
-
id: 4328344
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 71}
-
id: 4328345
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 73}
-
id: 4328346
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 79}
-
id: 4328347
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 83}
-
id: 4328348
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 89}
-
id: 4328349
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 112589990717823762, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '6930.2.a.z', 'level': 6930, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 259348000
{'hecke_orbit_code': 112589990717823762, 'n': 1, 'trace_an': 1}
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id: 259348001
{'hecke_orbit_code': 112589990717823762, 'n': 2, 'trace_an': 1}
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id: 259348002
{'hecke_orbit_code': 112589990717823762, 'n': 3, 'trace_an': 0}
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id: 259348003
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{'hecke_orbit_code': 112589990717823762, 'n': 994, 'trace_an': 0}
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id: 259348994
{'hecke_orbit_code': 112589990717823762, 'n': 995, 'trace_an': 4}
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id: 259348995
{'hecke_orbit_code': 112589990717823762, 'n': 996, 'trace_an': 0}
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id: 259348996
{'hecke_orbit_code': 112589990717823762, 'n': 997, 'trace_an': 26}
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id: 259348997
{'hecke_orbit_code': 112589990717823762, 'n': 998, 'trace_an': -4}
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id: 259348998
{'hecke_orbit_code': 112589990717823762, 'n': 999, 'trace_an': 0}
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id: 259348999
{'hecke_orbit_code': 112589990717823762, 'n': 1000, 'trace_an': -1}