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mf_newforms • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 33, 'char_orbit_label': 'bg', 'char_order': 3, 'char_parity': 1, 'char_values': [1680, 3, [1471, 421, 1121, 337, 241], [3, 3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 961, 'conrey_indexes': [961, 1201], 'dim': 4, 'field_disc': 7056, 'field_disc_factorization': [[2, 4], [3, 2], [7, 2]], 'field_poly': [49, 0, 7, 0, 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': [[11, [36, 12, 10, -2, 1]], [13, [-7, 0, 1]], [17, [36, -12, 10, 2, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72059793094739600, '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, 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mf_hecke_nf • Show schema
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-5], [25, 12, 25, 0], [0, -2, 27, -2], [0, -20, -8, -20], [-10, 14, -10, 0], [-49, 0, -49, 0], [-6, 0, 0, 12], [37, 0, 0, -8], [0, 6, -26, 6], [0, 1, 37, 1], [-2, -9, -2, 0], [59, 0, 0, 7], [17, -12, 17, 0], [-11, 0, 0, -1], [10, 10, 10, 0], [26, 2, 26, 0], [0, 9, 39, 9], [-29, 0, 0, -1], [16, 0, 0, 7], [6, -24, 6, 0], [0, 16, 35, 16], [-1, 0, 0, 1], [0, 7, 43, 7], [-14, 0, 0, 9], [0, -20, -30, -20], [0, -22, 8, -22], [4, 14, 4, 0]], 'char_orbit_index': 33, 'field_poly': [49, 0, 7, 0, 1], 'hecke_orbit_code': 72059793094739600, 'hecke_ring_character_values': [[1471, [1, 0, 0, 0]], [421, [1, 0, 0, 0]], [1121, [1, 0, 0, 0]], [337, [1, 0, 0, 0]], [241, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 7, 7], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 7, 0], [0, 0, 0, 7]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1680.2.bg.q', 'level': 1680, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, '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': [1680, 3, [1471, 421, 1121, 337, 241], [3, 3, 3, 3, 1]], 'conrey_index': 961, 'cusp_dim': 720, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17], 'hecke_orbit_code': 2199056811664, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '1680.2.bg', 'level': 1680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 816, 'mf_new_dim': 64, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [0, 4, 0, 4], 'traces': [64, 0, 4, 0, 0, 0, 4, 0, -32, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, -32, 0, -8, 0, -32, 0, -4, 0, 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8, 0, 192, 0, 32, 0, 0, 0, -272, 0, 400, 0, 48, 0, -96, 0, 112, 0, 24, 0, 288, 0, -96, 0, -32, 0, 344, 0, 192, 0, -252, 0, -80, 0, -136, 0, -32, 0, -544, 0, -224, 0, 48, 0, 32, 0, 96, 0, -56, 0, -288, 0, 288, 0, -24, 0, -224, 0, -512, 0, 48, 0, -96, 0, -96, 0, -224, 0, 80, 0, -196, 0, 24, 0, -160, 0, -112, 0, 16, 0, -144, 0, -136, 0, 0, 0, -280, 0, -88, 0, -4, 0, -256, 0, 24, 0, 48, 0, -216, 0, 144, 0, -172, 0, -112, 0, 40, 0, 32, 0, -216, 0, 240, 0, -56, 0, 240, 0, -288, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 787470
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '420.2.q.c', 'target_level': 420, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 787471
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '420.2.q.c', 'target_level': 420, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 787472
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1260.2.s.f', 'target_level': 1260, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 787473
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1260.2.s.f', 'target_level': 1260, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 787474
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1680.2.bg.q', 'target_level': 1680, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 787475
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 33, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1680.2.bg.q', 'target_level': 1680, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 787476
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2100.2.q.h', 'target_level': 2100, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 787477
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2100.2.q.h', 'target_level': 2100, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 787478
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 29, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2100.2.bc.e', 'target_level': 2100, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 787479
{'conductor': 140, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 29, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2100.2.bc.e', 'target_level': 2100, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 787480
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2940.2.a.m', 'target_level': 2940, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 787481
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2940.2.a.s', 'target_level': 2940, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 787482
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2940.2.q.t', 'target_level': 2940, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 787483
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2940.2.q.t', 'target_level': 2940, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 787484
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '8820.2.a.be', 'target_level': 8820, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 787485
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 33, 'source_dim': 4, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1680.2.bg.q', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '8820.2.a.bj', 'target_level': 8820, 'twist_class_label': '420.2.q.c', 'twist_class_level': 420, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2126125
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 72059793094739600, 'p': 2}
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id: 2126126
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 3}
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id: 2126127
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 5}
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id: 2126128
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 7}
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id: 2126129
{'charpoly_factorization': [[[36, 12, 10, -2, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 11}
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id: 2126130
{'charpoly_factorization': [[[-7, 0, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 13}
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id: 2126131
{'charpoly_factorization': [[[36, -12, 10, 2, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 17}
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id: 2126132
{'charpoly_factorization': [[[361, 114, 55, -6, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 19}
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id: 2126133
{'charpoly_factorization': [[[36, -12, 10, 2, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 23}
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id: 2126134
{'charpoly_factorization': [[[18, -10, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 29}
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id: 2126135
{'charpoly_factorization': [[[729, 54, 31, -2, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 31}
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id: 2126136
{'charpoly_factorization': [[[9, 12, 19, -4, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 37}
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id: 2126137
{'charpoly_factorization': [[[-54, 6, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 41}
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id: 2126138
{'charpoly_factorization': [[[-59, 4, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 43}
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id: 2126139
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 47}
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id: 2126140
{'charpoly_factorization': [[[576, 96, 40, -4, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 53}
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id: 2126141
{'charpoly_factorization': [[[2916, 324, 90, -6, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 59}
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id: 2126142
{'charpoly_factorization': [[[64, 8, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 61}
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id: 2126143
{'charpoly_factorization': [[[9, -12, 19, 4, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 67}
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id: 2126144
{'charpoly_factorization': [[[114, 22, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 71}
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id: 2126145
{'charpoly_factorization': [[[30625, 0, 175, 0, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 73}
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id: 2126146
{'charpoly_factorization': [[[361, -114, 55, 6, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 79}
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id: 2126147
{'charpoly_factorization': [[[-54, -6, 1], 2]], 'hecke_orbit_code': 72059793094739600, 'p': 83}
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id: 2126148
{'charpoly_factorization': [[[30276, 348, 178, -2, 1], 1]], 'hecke_orbit_code': 72059793094739600, 'p': 89}
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id: 2126149
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 72059793094739600, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 33, 'hecke_orbit': 17, 'label': '1680.2.bg.q', 'level': 1680, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 240690000
{'hecke_orbit_code': 72059793094739600, 'n': 1, 'trace_an': 4}
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id: 240690001
{'hecke_orbit_code': 72059793094739600, 'n': 2, 'trace_an': 0}
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id: 240690002
{'hecke_orbit_code': 72059793094739600, 'n': 3, 'trace_an': 2}
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id: 240690003
{'hecke_orbit_code': 72059793094739600, 'n': 4, 'trace_an': 0}
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id: 240690004
{'hecke_orbit_code': 72059793094739600, 'n': 5, 'trace_an': -2}
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id: 240690005
{'hecke_orbit_code': 72059793094739600, 'n': 6, 'trace_an': 0}
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id: 240690006
{'hecke_orbit_code': 72059793094739600, 'n': 7, 'trace_an': 0}
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id: 240690007
{'hecke_orbit_code': 72059793094739600, 'n': 8, 'trace_an': 0}
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id: 240690008
{'hecke_orbit_code': 72059793094739600, 'n': 9, 'trace_an': -2}
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id: 240690009
{'hecke_orbit_code': 72059793094739600, 'n': 10, 'trace_an': 0}
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id: 240690010
{'hecke_orbit_code': 72059793094739600, 'n': 11, 'trace_an': 2}
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id: 240690011
{'hecke_orbit_code': 72059793094739600, 'n': 12, 'trace_an': 0}
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id: 240690012
{'hecke_orbit_code': 72059793094739600, 'n': 13, 'trace_an': 0}
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id: 240690013
{'hecke_orbit_code': 72059793094739600, 'n': 14, 'trace_an': 0}
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id: 240690014
{'hecke_orbit_code': 72059793094739600, 'n': 15, 'trace_an': -4}
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id: 240690015
{'hecke_orbit_code': 72059793094739600, 'n': 16, 'trace_an': 0}
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id: 240690016
{'hecke_orbit_code': 72059793094739600, 'n': 17, 'trace_an': -2}
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id: 240690017
{'hecke_orbit_code': 72059793094739600, 'n': 18, 'trace_an': 0}
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id: 240690018
{'hecke_orbit_code': 72059793094739600, 'n': 19, 'trace_an': 6}
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id: 240690019
{'hecke_orbit_code': 72059793094739600, 'n': 20, 'trace_an': 0}
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id: 240690020
{'hecke_orbit_code': 72059793094739600, 'n': 21, 'trace_an': 0}
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id: 240690021
{'hecke_orbit_code': 72059793094739600, 'n': 22, 'trace_an': 0}
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id: 240690022
{'hecke_orbit_code': 72059793094739600, 'n': 23, 'trace_an': -2}
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id: 240690023
{'hecke_orbit_code': 72059793094739600, 'n': 24, 'trace_an': 0}
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id: 240690024
{'hecke_orbit_code': 72059793094739600, 'n': 25, 'trace_an': -2}
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id: 240690025
{'hecke_orbit_code': 72059793094739600, 'n': 26, 'trace_an': 0}
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id: 240690026
{'hecke_orbit_code': 72059793094739600, 'n': 27, 'trace_an': -4}
-
id: 240690027
{'hecke_orbit_code': 72059793094739600, 'n': 28, 'trace_an': 0}
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id: 240690028
{'hecke_orbit_code': 72059793094739600, 'n': 29, 'trace_an': 20}
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id: 240690029
{'hecke_orbit_code': 72059793094739600, 'n': 30, 'trace_an': 0}
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id: 240690030
{'hecke_orbit_code': 72059793094739600, 'n': 31, 'trace_an': 2}
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id: 240690031
{'hecke_orbit_code': 72059793094739600, 'n': 32, 'trace_an': 0}
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id: 240690032
{'hecke_orbit_code': 72059793094739600, 'n': 33, 'trace_an': -2}
-
id: 240690033
{'hecke_orbit_code': 72059793094739600, 'n': 34, 'trace_an': 0}
-
id: 240690034
{'hecke_orbit_code': 72059793094739600, 'n': 35, 'trace_an': 0}
-
id: 240690035
{'hecke_orbit_code': 72059793094739600, 'n': 36, 'trace_an': 0}
-
id: 240690036
{'hecke_orbit_code': 72059793094739600, 'n': 37, 'trace_an': 4}
-
id: 240690037
{'hecke_orbit_code': 72059793094739600, 'n': 38, 'trace_an': 0}
-
id: 240690038
{'hecke_orbit_code': 72059793094739600, 'n': 39, 'trace_an': 0}
-
id: 240690039
{'hecke_orbit_code': 72059793094739600, 'n': 40, 'trace_an': 0}
-
id: 240690040
{'hecke_orbit_code': 72059793094739600, 'n': 41, 'trace_an': -12}
-
id: 240690041
{'hecke_orbit_code': 72059793094739600, 'n': 42, 'trace_an': 0}
-
id: 240690042
{'hecke_orbit_code': 72059793094739600, 'n': 43, 'trace_an': -8}
-
id: 240690043
{'hecke_orbit_code': 72059793094739600, 'n': 44, 'trace_an': 0}
-
id: 240690044
{'hecke_orbit_code': 72059793094739600, 'n': 45, 'trace_an': -2}
-
id: 240690045
{'hecke_orbit_code': 72059793094739600, 'n': 46, 'trace_an': 0}
-
id: 240690046
{'hecke_orbit_code': 72059793094739600, 'n': 47, 'trace_an': 12}
-
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