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mf_newforms • Show schema
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{'Nk2': 348, 'analytic_conductor': 0.6946984975851394, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [87, 2, [59, 31], [2, 1]], 'cm_discs': [], 'conrey_index': 28, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 137472507991, 'hecke_ring_generator_nbound': 2, '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, 1], [1, 1, 29, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 348, 'analytic_conductor': 0.6946984975851394, 'char_conductor': 29, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [87, 2, [59, 31], [2, 1]], 'conrey_index': 28, 'cusp_dim': 8, 'dim': 4, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 137472507991, 'hecke_orbit_dims': [4], 'label': '87.2.c', 'level': 87, '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': True, 'level_primes': [3, 29], 'level_radical': 87, 'mf_dim': 12, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 4, 'sturm_bound': 20, 'trace_bound': 0, 'trace_display': [0, 0, 4, -8], 'traces': [4, 0, 0, 2, 4, 2, -8, 0, -4, 0, 0, 0, -4, 0, 0, -6, 0, 0, 0, -8, 0, 10, -4, 0, 4, 0, 0, 6, 0, 12, 0, 0, 0, -6, -28, -2, 0, 32, 0, 0, 0, -14, 0, 0, -4, 0, 0, 0, 8, 0, 12, -2, 36, -2, 0, 0, -4, 6, 0, 0, 0, -20, 8, -8, -4, 0, -8, 0, 0, 0, 28, 0, 0, 4, 0, 0, 0, -2, 0, -36, 4, -20, -24, 0, 0, -12, -12, 20, 0, 0, 8, -12, 20, -26, 0, -18, 0, 0, 0, -18, 0, 0, -24, 0, 0, 0, 12, 0, 20, 20, -28, 42, 0, 0, 16, 20, 4, 0, 0, 20, 24, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 10, 0, 0, 0, 0, 0, 8, 0, 16, 32, 0, 0, 6, -40, -32, 0, 0, -40, 22, 48, 60, 0, -30, 0, 0, 0, 12, 0, 0, -12, 0, 0, 0, -20, 0, -8, -20, -48, -36, 0, 0, -24, -20, -48, 0, 0, 22, -60, 8, 28, 0, -20, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 64, 0, -36, 12, -10, 0, 0, 0, -30, 40, 6, 0, 0, 4, 6, -60, -44, 0, 28, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, -4, -2, 72, 28, 0, 0, 20, 0, -24, 0, 0, -40, 36, 42, 60, 0, -12, 0, 0, 0, 88, 0, 0, -20, 0, 0, 0, -6, 0, -36, 12, 14, -88, 0, 0, 8, 0, 30, 0, 0, 16, -104, 36, -34, 0, -12, 0, 0, 0, 4, 0, 0, -28, 0, 0, 0, 48, 0, 16, 24, -64, -10, 0, 0, 32, 36, -28, 0, 0, 44, 80, -20, 0, 0, 4, 0, 0, 0, -20, 0, 0, 6, 0, 0, 0, -80, 0, 0, -4, 4, 28, 0, 0, 8, 0, -28, 0, 0, 12, 2, -4, 48, 0, -40, 0, 0, 0, -12, 0, 0, 52, 0, 0, 0, -36, 0, 20, -32, -40, -40, 0, 0, -28, -6, 40, 0, 0, 10, -44, 40, 8, 0, -24, 0, 0, 0, -108, 0, 0, -6, 0, 0, 0, -24, 0, 64, -52, 0, 56, 0, 0, -20, 0, 14, 0, 0, 32, 40, -84, -50, 0, 68, 0, 0, 0, -12, 0, 0, -40, 0, 0, 0, -8, 0, 68, -66, 108, 26, 0, 0, 4, -42, 20, 0, 0, -40, 32, 48, -80, 0, -24, 0, 0, 0, 60, 0, 0, 20, 0, 0, 0, 4, 0, 16, 0, 8, -32, 0, 0, 100, -12, 10, 0, 0, 80, 20, -8, 6, 0, -24, 0, 0, 0, 36, 0, 0, 40, 0, 0, 0, 28, 0, -28, 72, -12, 8, 0, 0, -24, 60, 40, 0, 0, 2, -44, -116, -8, 0, 40, 0, 0, 0, -36, 0, 0, -8, 0, 0, 0, 12, 0, 2, -8, -20, 24, 0, 0, -20, 36, -32, 0, 0, -36, -12, 40, 32, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -144, -28, 20, -68, 0, 0, -32, -6, 16, 0, 0, -32, -60, 30, -68, 0, 0, 0, 0, 0, -8, 0, 0, -98, 0, 0, 0, -80, 0, 54, 20, 14, -88, 0, 0, 30, -12, 20, 0, 0, -8, 30, -48, 20, 0, 132, 0, 0, 0, 6, 0, 0, -8, 0, 0, 0, -32, 0, 0, 60, 36, 8, 0, 0, -16, 0, 48, 0, 0, -60, 4, -82, 32, 0, 80, 0, 0, 0, 116, 0, 0, -40, 0, 0, 0, 40, 0, 4, 8, 24, 24, 0, 0, 12, 24, 40, 0, 0, -44, 84, 40, -40, 0, -72, 0, 0, 0, -70, 0, 0, -36, 0, 0, 0, 84, 0, 88, 60, -40, 114, 0, 0, -8, -20, -28, 0, 0, -4, -24, 4, 24, 0, -28, 0, 0, 0, -60, 0, 0, 10, 0, 0, 0, 142, 0, 0, -12, 0, -12, 0, 0, -4, -40, -84, 0, 0, 20, 26, 36, 44, 0, -24, 0, 0, 0, -60, 0, 0, 96, 0, 0, 0, -44, 0, -36, 8, -112, -12, 0, 0, -60, -40, 0, 0, 0, 26, -12, 2, 32, 0, 52, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -20, 0, -128, -120, 36, 168, 0, 0, -46, -80, 12, 0, 0, -4, -72, 48, -20, 0, -36, 0, 0, 0, 20, 0, 0, 4, 0, 0, 0, 0, 0, 24, -30, -4, -8, 0, 0, 40, -6, 48, 0, 0, 12, -20, 80, -52, 0, -40, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 12, 0, 100, 36, -38, 120, 0, 0, -24, 12, -132, 0, 0, -48, 36, -16, -48, 0, -20, 0, 0, 0, 90, 0, 0, -96, 0, 0, 0, 60, 0, -32, 20, -4, -80, 0, 0, 88, -20, 40, 0, 0, -18, 104, 12, -8, 0, -32, 0, 0, 0, -40, 0, 0, 12, 0, 0, 0, 8, 0, -30, 152, -20, -20, 0, 0, -60, 44, 40, 0, 0, -48, 26, -48, -24, 0, -66, 0, 0, 0, -40, 0, 0, 52, 0, 0, 0, -40, 0, -124, 18, -24, -12, 0, 0, -60, -40, 8, 0, 0, 8, -8, -28, 112, 0, 84, 0, 0, 0, -24, 0, 0, 58, 0, 0, 0, -28, 0, 18, 92, 0, -80, 0, 0, 82, 60, 18, 0, 0, -8, -40, 148, 24, 0, 76, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, -40, 0, -68, -60, -28, -10, 0, 0, 24, -54, -40, 0, 0, 8, 0, -16, 60, 0, 132, 0, 0, 0, -72, 0, 0, -120, 0, 0, 0, 48, 0, 112, 12, 60, -24, 0, 0, -20, 40, 32, 0, 0, 4, -4, -12, -6, 0, -16, 0, 0, 0, 184, 0, 0, 60, 0, 0, 0, 52, 0, -80, -16, -20, 0, 0, 0, -48, 60, -84, 0, 0, -20, -112, 80, 60, 0, -180, 0, 0, 0, 28, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 829443
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507991, 'target_is_minimal': True, 'target_label': '87.2.c.a.28.1', 'target_level': 87, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 829444
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099878661, 'target_is_minimal': False, 'target_label': '261.2.c.b.28.4', 'target_level': 261, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 829445
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029759125194096, 'target_is_minimal': False, 'target_label': '1392.2.o.i.289.2', 'target_level': 1392, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 829446
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 724, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258310783, 'target_is_minimal': False, 'target_label': '2175.2.f.b.724.3', 'target_level': 2175, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 829447
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 724, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630940287, 'target_is_minimal': False, 'target_label': '2175.2.f.a.724.2', 'target_level': 2175, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 829448
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 376, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014604701468799, 'target_is_minimal': False, 'target_label': '2175.2.d.e.376.4', 'target_level': 2175, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 829449
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540558007308368, 'target_is_minimal': False, 'target_label': '4176.2.o.l.289.2', 'target_level': 4176, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 829450
{'conductor': 29, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543038939, 'target_is_minimal': False, 'target_label': '2523.2.a.e.1.2', 'target_level': 2523, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '29.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 829451
{'conductor': 29, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915668443, 'target_is_minimal': False, 'target_label': '2523.2.a.d.1.1', 'target_level': 2523, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '29.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 829452
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137472507991, 'target_is_minimal': True, 'target_label': '87.2.c.a.28.4', 'target_level': 87, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 829453
{'conductor': 87, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189378449, 'target_is_minimal': False, 'target_label': '7569.2.a.n.1.2', 'target_level': 7569, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '87.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 829454
{'conductor': 87, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170414481, 'target_is_minimal': False, 'target_label': '7569.2.a.f.1.1', 'target_level': 7569, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '87.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 829455
{'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878661, 'target_is_minimal': False, 'target_label': '261.2.c.b.28.1', 'target_level': 261, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '87.86', 'twisting_conrey_index': 86, 'weight': 2}
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id: 829456
{'conductor': 116, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029759125194096, 'target_is_minimal': False, 'target_label': '1392.2.o.i.289.4', 'target_level': 1392, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '116.115', 'twisting_conrey_index': 115, 'weight': 2}
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id: 829457
{'conductor': 145, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 724, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943258310783, 'target_is_minimal': False, 'target_label': '2175.2.f.b.724.4', 'target_level': 2175, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '145.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 829458
{'conductor': 145, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 724, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630940287, 'target_is_minimal': False, 'target_label': '2175.2.f.a.724.1', 'target_level': 2175, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '145.57', 'twisting_conrey_index': 57, 'weight': 2}
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id: 829459
{'conductor': 145, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 376, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701468799, 'target_is_minimal': False, 'target_label': '2175.2.d.e.376.1', 'target_level': 2175, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '145.144', 'twisting_conrey_index': 144, 'weight': 2}
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id: 829460
{'conductor': 348, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472507991, 'source_is_minimal': True, 'source_label': '87.2.c.a.28.1', 'source_level': 87, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540558007308368, 'target_is_minimal': False, 'target_label': '4176.2.o.l.289.1', 'target_level': 4176, 'twist_class_label': '87.2.c.a.28.1', 'twist_class_level': 87, 'twisting_char_label': '348.347', 'twisting_conrey_index': 347, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 266250
{'charpoly_factorization': [[[1, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 2}
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id: 266251
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 3}
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id: 266252
{'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 5}
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id: 266253
{'charpoly_factorization': [[[-1, 4, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 7}
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id: 266254
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 11}
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id: 266255
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 137472507991, 'p': 13}
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id: 266256
{'charpoly_factorization': [[[9, 0, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 17}
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id: 266257
{'charpoly_factorization': [[[1936, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 19}
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id: 266258
{'charpoly_factorization': [[[-4, 2, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 23}
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id: 266259
{'charpoly_factorization': [[[841, 0, -22, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 29}
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id: 266260
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 31}
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id: 266261
{'charpoly_factorization': [[[1936, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 37}
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id: 266262
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 41}
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id: 266263
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 43}
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id: 266264
{'charpoly_factorization': [[[3481, 0, 138, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 47}
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id: 266265
{'charpoly_factorization': [[[76, -18, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 53}
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id: 266266
{'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 59}
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id: 266267
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 61}
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id: 266268
{'charpoly_factorization': [[[-41, 4, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 67}
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id: 266269
{'charpoly_factorization': [[[44, -14, 1], 2]], 'hecke_orbit_code': 137472507991, 'p': 71}
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id: 266270
{'charpoly_factorization': [[[1936, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 73}
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id: 266271
{'charpoly_factorization': [[[1296, 0, 252, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 79}
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id: 266272
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 137472507991, 'p': 83}
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id: 266273
{'charpoly_factorization': [[[1, 0, 322, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 89}
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id: 266274
{'charpoly_factorization': [[[5776, 0, 348, 0, 1], 1]], 'hecke_orbit_code': 137472507991, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '87.2.c.a', 'level': 87, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 5551675
{'hecke_orbit_code': 137472507991, 'n': 1, 'trace_an': 4}
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id: 5551676
{'hecke_orbit_code': 137472507991, 'n': 2, 'trace_an': 0}
-
id: 5551677
{'hecke_orbit_code': 137472507991, 'n': 3, 'trace_an': 0}
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id: 5551678
{'hecke_orbit_code': 137472507991, 'n': 4, 'trace_an': 2}
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id: 5551679
{'hecke_orbit_code': 137472507991, 'n': 5, 'trace_an': 4}
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id: 5551680
{'hecke_orbit_code': 137472507991, 'n': 6, 'trace_an': 2}
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id: 5551681
{'hecke_orbit_code': 137472507991, 'n': 7, 'trace_an': -8}
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id: 5551682
{'hecke_orbit_code': 137472507991, 'n': 8, 'trace_an': 0}
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id: 5551683
{'hecke_orbit_code': 137472507991, 'n': 9, 'trace_an': -4}
-
id: 5551684
{'hecke_orbit_code': 137472507991, 'n': 10, 'trace_an': 0}
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id: 5551685
{'hecke_orbit_code': 137472507991, 'n': 11, 'trace_an': 0}
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id: 5551686
{'hecke_orbit_code': 137472507991, 'n': 12, 'trace_an': 0}
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id: 5551687
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