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mf_newforms • Show schema
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{'Nk2': 7392, 'analytic_conductor': 14.756354293532615, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 3, 'char_parity': 1, 'char_values': [1848, 3, [463, 925, 617, 1585, 673], [3, 3, 3, 2, 3]], 'cm_discs': [], 'conrey_index': 529, 'conrey_indexes': [529, 793], 'dim': 8, 'field_disc': 33405603984, 'field_disc_factorization': [[2, 4], [3, 4], [5077, 2]], 'field_poly': [144, 48, 112, -8, 56, 0, 9, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [256, 64, 208, -48, 128, -8, 12, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22520197193664312, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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-
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{'Nk2': 7392, 'analytic_conductor': 14.756354293532615, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 3, 'char_parity': 1, 'char_values': [1848, 3, [463, 925, 617, 1585, 673], [3, 3, 3, 2, 3]], 'conrey_index': 529, 'cusp_dim': 736, 'dim': 80, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 2199056811832, 'hecke_orbit_dims': [2, 2, 4, 6, 6, 8, 8, 10, 10, 12, 12], 'label': '1848.2.bg', 'level': 1848, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 800, 'mf_new_dim': 80, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 768, 'trace_bound': 5, 'trace_display': [0, -4, 0, -4], 'traces': [80, 0, -4, 0, 0, 0, -4, 0, -40, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, -40, 0, 8, 0, 0, 0, 4, 0, 4, 0, 16, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 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mf_twists_cc • Show schema
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id: 45476177
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22520197193664312, 'source_is_minimal': True, 'source_label': '1848.2.bg.f.529.1', 'source_level': 1848, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22520197193664312, 'target_is_minimal': True, 'target_label': '1848.2.bg.f.529.1', 'target_level': 1848, 'twist_class_label': '1848.2.bg.f.529.1', 'twist_class_level': 1848, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45476178
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 529, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22520197193664312, 'source_is_minimal': True, 'source_label': '1848.2.bg.f.529.1', 'source_level': 1848, 'target_conrey_index': 793, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22520197193664312, 'target_is_minimal': True, 'target_label': '1848.2.bg.f.793.1', 'target_level': 1848, 'twist_class_label': '1848.2.bg.f.529.1', 'twist_class_level': 1848, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2251050
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22520197193664312, 'p': 2}
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id: 2251051
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 22520197193664312, 'p': 3}
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id: 2251052
{'charpoly_factorization': [[[256, 64, 208, -48, 128, -8, 12, 0, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 5}
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id: 2251053
{'charpoly_factorization': [[[2401, -343, -98, 49, 38, 7, -2, -1, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 7}
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id: 2251054
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 22520197193664312, 'p': 11}
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id: 2251055
{'charpoly_factorization': [[[-4, -8, 10, 7, 1], 2]], 'hecke_orbit_code': 22520197193664312, 'p': 13}
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id: 2251056
{'charpoly_factorization': [[[324, -738, 1267, -907, 506, -105, 24, 1, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 17}
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id: 2251057
{'charpoly_factorization': [[[5329, -6424, 5846, -2580, 925, -124, 30, -2, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 19}
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id: 2251058
{'charpoly_factorization': [[[64, 840, 11321, -3805, 1886, -25, 62, -5, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 23}
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id: 2251059
{'charpoly_factorization': [[[138, 223, 99, 17, 1], 2]], 'hecke_orbit_code': 22520197193664312, 'p': 29}
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id: 2251060
{'charpoly_factorization': [[[16, -32, 104, 24, 160, -86, 39, -7, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 31}
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id: 2251061
{'charpoly_factorization': [[[76729, -37118, 20172, -4468, 1681, -348, 92, -10, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 37}
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id: 2251062
{'charpoly_factorization': [[[-368, 836, -60, -12, 1], 2]], 'hecke_orbit_code': 22520197193664312, 'p': 41}
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id: 2251063
{'charpoly_factorization': [[[-69, -446, -78, 8, 1], 2]], 'hecke_orbit_code': 22520197193664312, 'p': 43}
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id: 2251064
{'charpoly_factorization': [[[24964, 21962, 18531, 4171, 1396, -333, 116, -11, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 47}
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id: 2251065
{'charpoly_factorization': [[[5184, 10080, 18736, 3696, 2032, -448, 184, -14, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 53}
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id: 2251066
{'charpoly_factorization': [[[262144, 121344, 99689, -19121, 6950, -389, 86, -1, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 59}
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id: 2251067
{'charpoly_factorization': [[[5125696, 715424, 416816, -35184, 17968, -352, 144, -2, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 61}
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id: 2251068
{'charpoly_factorization': [[[11370384, -3628272, 1360096, -50088, 18520, 1132, 349, 17, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 67}
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id: 2251069
{'charpoly_factorization': [[[-3028, -103, 187, 27, 1], 2]], 'hecke_orbit_code': 22520197193664312, 'p': 71}
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id: 2251070
{'charpoly_factorization': [[[23775376, 3627744, 1167912, 13528, 19184, -102, 247, -11, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 73}
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id: 2251071
{'charpoly_factorization': [[[274576, 37728, 71208, -33176, 14744, -2754, 403, -23, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 79}
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id: 2251072
{'charpoly_factorization': [[[19072, 1680, -312, -8, 1], 2]], 'hecke_orbit_code': 22520197193664312, 'p': 83}
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id: 2251073
{'charpoly_factorization': [[[11943936, 3428352, 1011712, 116480, 21376, 2128, 316, 18, 1], 1]], 'hecke_orbit_code': 22520197193664312, 'p': 89}
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id: 2251074
{'charpoly_factorization': [[[566, 295, -171, -7, 1], 2]], 'hecke_orbit_code': 22520197193664312, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 33, 'hecke_orbit': 6, 'label': '1848.2.bg.f', 'level': 1848, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 174263000
{'hecke_orbit_code': 22520197193664312, 'n': 1, 'trace_an': 8}
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id: 174263001
{'hecke_orbit_code': 22520197193664312, 'n': 2, 'trace_an': 0}
-
id: 174263002
{'hecke_orbit_code': 22520197193664312, 'n': 3, 'trace_an': -4}
-
id: 174263003
{'hecke_orbit_code': 22520197193664312, 'n': 4, 'trace_an': 0}
-
id: 174263004
{'hecke_orbit_code': 22520197193664312, 'n': 5, 'trace_an': 0}
-
id: 174263005
{'hecke_orbit_code': 22520197193664312, 'n': 6, 'trace_an': 0}
-
id: 174263006
{'hecke_orbit_code': 22520197193664312, 'n': 7, 'trace_an': 1}
-
id: 174263007
{'hecke_orbit_code': 22520197193664312, 'n': 8, 'trace_an': 0}
-
id: 174263008
{'hecke_orbit_code': 22520197193664312, 'n': 9, 'trace_an': -4}
-
id: 174263009
{'hecke_orbit_code': 22520197193664312, 'n': 10, 'trace_an': 0}
-
id: 174263010
{'hecke_orbit_code': 22520197193664312, 'n': 11, 'trace_an': -4}
-
id: 174263011
{'hecke_orbit_code': 22520197193664312, 'n': 12, 'trace_an': 0}
-
id: 174263012
{'hecke_orbit_code': 22520197193664312, 'n': 13, 'trace_an': -14}
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id: 174263013
{'hecke_orbit_code': 22520197193664312, 'n': 14, 'trace_an': 0}
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id: 174263014
{'hecke_orbit_code': 22520197193664312, 'n': 15, 'trace_an': 0}
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id: 174263015
{'hecke_orbit_code': 22520197193664312, 'n': 16, 'trace_an': 0}
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id: 174263016
{'hecke_orbit_code': 22520197193664312, 'n': 17, 'trace_an': -1}
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id: 174263017
{'hecke_orbit_code': 22520197193664312, 'n': 18, 'trace_an': 0}
-
id: 174263018
{'hecke_orbit_code': 22520197193664312, 'n': 19, 'trace_an': 2}
-
id: 174263019
{'hecke_orbit_code': 22520197193664312, 'n': 20, 'trace_an': 0}
-
id: 174263020
{'hecke_orbit_code': 22520197193664312, 'n': 21, 'trace_an': 1}
-
id: 174263021
{'hecke_orbit_code': 22520197193664312, 'n': 22, 'trace_an': 0}
-
id: 174263022
{'hecke_orbit_code': 22520197193664312, 'n': 23, 'trace_an': 5}
-
id: 174263023
{'hecke_orbit_code': 22520197193664312, 'n': 24, 'trace_an': 0}
-
id: 174263024
{'hecke_orbit_code': 22520197193664312, 'n': 25, 'trace_an': -4}
-
id: 174263025
{'hecke_orbit_code': 22520197193664312, 'n': 26, 'trace_an': 0}
-
id: 174263026
{'hecke_orbit_code': 22520197193664312, 'n': 27, 'trace_an': 8}
-
id: 174263027
{'hecke_orbit_code': 22520197193664312, 'n': 28, 'trace_an': 0}
-
id: 174263028
{'hecke_orbit_code': 22520197193664312, 'n': 29, 'trace_an': -34}
-
id: 174263029
{'hecke_orbit_code': 22520197193664312, 'n': 30, 'trace_an': 0}
-
id: 174263030
{'hecke_orbit_code': 22520197193664312, 'n': 31, 'trace_an': 7}
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id: 174263031
{'hecke_orbit_code': 22520197193664312, 'n': 32, 'trace_an': 0}
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id: 174263032
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