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mf_newforms • Show schema
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{'Nk2': 5824, 'analytic_conductor': 11.626218534298424, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 3, 'char_parity': 1, 'char_values': [1456, 3, [911, 1093, 1249, 561], [3, 3, 2, 3]], 'cm_discs': [], 'conrey_index': 417, 'dim': 10, 'field_disc': -15028026841008, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 5], [62171, 2]], 'field_poly': [4, 16, 64, 28, 58, 18, 41, 7, 8, -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': [[3, [16, 64, 256, 72, 144, 4, 65, 0, 9, 0, 1]], [5, [2304, 2304, 3264, 480, 1024, 156, 217, 10, 19, 2, 1]], [11, [1089, -1485, 2751, -1386, 2467, -1749, 1099, -352, 85, -11, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67555162675217840, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 12, 'hecke_ring_index_factorization': [[2, 2], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1456.2.r.p', 'level': 1456, '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': False, 'level_primes': [2, 7, 13], 'level_radical': 182, 'minimal_twist': '91.2.e.c', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{9}q^{3}+(-\\beta _{3}-\\beta _{7})q^{5}+(\\beta _{1}+\\beta _{5}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1456.2.r', 'trace_display': [0, 0, -2, -1], 'trace_hash': 85092954032866680, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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'conrey_index': 417, 'dual_conrey_index': 625, 'dual_embedding_index': 5, 'dual_embedding_m': 10, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': -1.0507676272721649, 'embedding_root_real': -0.6066609724613288, 'hecke_orbit': 16, 'hecke_orbit_code': 67555162675217840, 'label': '1456.2.r.p.417.5', 'level': 1456, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5824, 'analytic_conductor': 11.626218534298424, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 3, 'char_parity': 1, 'char_values': [1456, 3, [911, 1093, 1249, 561], [3, 3, 2, 3]], 'conrey_index': 417, 'cusp_dim': 424, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 1168264660400, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 8, 8, 8, 10, 14, 16], 'label': '1456.2.r', 'level': 1456, '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': False, 'level_primes': [2, 7, 13], 'level_radical': 182, 'mf_dim': 472, 'mf_new_dim': 96, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 448, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 8, 0, 16, 0, -56, 0, 0, 0, 32, 0, 12, 0, -8, 0, 36, 0, -8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 8, 0, -20, 0, -12, 0, -24, 0, 0, 0, -36, 0, -4, 0, -76, 0, 0, 0, 8, 0, -32, 0, -8, 0, 16, 0, 36, 0, 4, 0, 20, 0, -40, 0, 88, 0, -32, 0, 36, 0, 8, 0, 0, 0, 16, 0, 12, 0, -16, 0, -112, 0, 0, 0, 0, 0, 28, 0, -8, 0, 8, 0, -24, 0, 56, 0, -56, 0, 0, 0, -36, 0, -56, 0, 76, 0, -48, 0, 48, 0, -28, 0, 12, 0, 68, 0, 40, 0, -32, 0, 0, 0, 48, 0, 20, 0, -40, 0, -24, 0, 16, 0, 28, 0, -48, 0, -56, 0, -16, 0, 16, 0, 8, 0, 32, 0, -16, 0, -88, 0, 96, 0, -104, 0, -84, 0, -16, 0, 8, 0, 32, 0, -16, 0, -64, 0, 20, 0, 36, 0, -48, 0, 20, 0, -24, 0, 48, 0, -64, 0, 24, 0, 8, 0, 56, 0, 16, 0, 12, 0, -8, 0, -40, 0, 88, 0, 56, 0, 72, 0, -64, 0, -4, 0, -104, 0, 184, 0, -28, 0, 48, 0, -152, 0, -12, 0, 48, 0, 160, 0, 96, 0, -32, 0, 80, 0, 88, 0, 0, 0, 0, 0, 64, 0, 96, 0, -56, 0, -24, 0, 28, 0, -64, 0, 104, 0, -144, 0, 184, 0, 40, 0, 56, 0, 12, 0, -4, 0, -44, 0, 136, 0, 0, 0, -60, 0, -32, 0, 20, 0, -28, 0, 12, 0, -16, 0, 72, 0, -32, 0, -48, 0, -64, 0, -20, 0, 32, 0, 32, 0, -96, 0, -56, 0, 16, 0, -52, 0, -24, 0, 0, 0, -96, 0, -16, 0, 0, 0, 108, 0, 76, 0, -20, 0, -72, 0, -8, 0, 128, 0, 100, 0, 28, 0, -48, 0, 24, 0, 0, 0, 0, 0, 0, 0, -48, 0, -60, 0, 24, 0, 4, 0, -64, 0, -176, 0, 96, 0, -180, 0, -72, 0, -248, 0, -40, 0, -56, 0, -8, 0, 0, 0, -56, 0, 56, 0, -8, 0, -144, 0, -56, 0, 192, 0, -184, 0, -96, 0, -16, 0, -68, 0, 104, 0, 0, 0, -144, 0, -80, 0, 40, 0, 136, 0, -4, 0, 16, 0, 60, 0, 0, 0, 112, 0, -164, 0, 20, 0, 48, 0, 0, 0, 88, 0, 152, 0, 256, 0, -16, 0, -36, 0, 140, 0, 148, 0, 80, 0, -80, 0, 128, 0, 100, 0, 32, 0, 0, 0, -40, 0, 64, 0, 0, 0, 120, 0, -28, 0, 68, 0, -76, 0, -160, 0, 40, 0, -264, 0, 296, 0, 132, 0, 0, 0, -76, 0, -56, 0, -48, 0, -192, 0, -48, 0, -156, 0, -40, 0, -116, 0, -20, 0, -128, 0, 120, 0, -112, 0, 0, 0, -64, 0, 268, 0, 24, 0, -184, 0, -48, 0, -112, 0, -16, 0, 36, 0, 64, 0, -184, 0, -40, 0, 256, 0, 0, 0, 104, 0, 92, 0, -212, 0, -64, 0, -276, 0, 32, 0, 8, 0, 108, 0, 108, 0, 16, 0, -136, 0, -104, 0, -64, 0, 64, 0, 4, 0, 16, 0, -248, 0, -36, 0, 48, 0, -144, 0, 296, 0, -16, 0, -108, 0, 180, 0, 72, 0, 12, 0, 328, 0, 104, 0, -76, 0, -8, 0, 148, 0, -40, 0, 68, 0, -48, 0, 216, 0, 32, 0, -244, 0, -96, 0, 0, 0, 24, 0, 128, 0, -224, 0, 120, 0, -80, 0, 72, 0, -48, 0, -192, 0, 32, 0, -424, 0, -44, 0, -80, 0, 20, 0, -120, 0, 44, 0, -344, 0, 144, 0, 36, 0, 80, 0, -200, 0, 104, 0, -16, 0, -112, 0, -136, 0, -48, 0, 32, 0, 88, 0, 156, 0, 168, 0, -200, 0, 48, 0, 188, 0, 68, 0, 244, 0, 96, 0, -152, 0, 0, 0, 232, 0, 0, 0, -124, 0, 44, 0, -88, 0, -16, 0, -160, 0, 336, 0, -88, 0, -92, 0, 72, 0, -64, 0, 96, 0, 48, 0, 0, 0, -184, 0, 136, 0, -56, 0, 4, 0, -40, 0, 472, 0, 120, 0, 256, 0, 96, 0, 656, 0, 44, 0, 52, 0, -80, 0, 40, 0, 80, 0, 100, 0, 16, 0, 240, 0, 176, 0, -160, 0, -40, 0, 132, 0, -16, 0, 296, 0, 48, 0, -12, 0, 144, 0, 384, 0, 0, 0, -228, 0, -28, 0, 52, 0, -36, 0, 160, 0, -160, 0, 228, 0, 8, 0, -176, 0, 0, 0, -24, 0, -272, 0, -320, 0, -184, 0, -4, 0, -32, 0, -128, 0, -8, 0, 24, 0, -144, 0, -164, 0, -56, 0, 20, 0, -72, 0, -88, 0, 320, 0, -496, 0, -36, 0, -248, 0, -208, 0, 224, 0, 72, 0, 0, 0, 40, 0, -236, 0, 0, 0, 56, 0, -24, 0, 60, 0, -176, 0, 144, 0, 92, 0, -16, 0, -24, 0, -124, 0, -24, 0, -200, 0, -160, 0, 68, 0, 272, 0, -260, 0, -8, 0, 148, 0, -176, 0, 120, 0, -112, 0, -104, 0, -128, 0, 368, 0, 108, 0, -400, 0, -48, 0, -272, 0, 120, 0, 96, 0, -16, 0, 36, 0, 416, 0, -248, 0, -36, 0, -16, 0, -72, 0, 80, 0, 136, 0, 120, 0, 128, 0, -20, 0, 80, 0, 204, 0, 72, 0, 28, 0, 240, 0, 320, 0, 24, 0, -20, 0, -184, 0, -288, 0, 0, 0, -368, 0, -200, 0, -56, 0, 88, 0, -132, 0, -108, 0, -44, 0, -112, 0, 304, 0, -8, 0, 172, 0, -216, 0, 48, 0, 40, 0, -160, 0, -384, 0, -72, 0, 16, 0, 76, 0, 0, 0, 120, 0, 320, 0, 704, 0, -60, 0, 240, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47986196
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 417, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67555162675217840, 'target_is_minimal': False, 'target_label': '1456.2.r.p.417.5', 'target_level': 1456, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47986197
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 53, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202459, 'target_is_minimal': True, 'target_label': '91.2.e.c.53.2', 'target_level': 91, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47986198
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 625, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67555162675217840, 'target_is_minimal': False, 'target_label': '1456.2.r.p.625.5', 'target_level': 1456, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47986199
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 235, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525815900439347, 'target_is_minimal': False, 'target_label': '819.2.j.h.235.4', 'target_level': 819, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47986200
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996307260029, 'target_is_minimal': False, 'target_label': '637.2.a.k.1.4', 'target_level': 637, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47986201
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539595934630525, 'target_is_minimal': False, 'target_label': '637.2.a.l.1.4', 'target_level': 637, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47986202
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439907965, 'target_is_minimal': False, 'target_label': '637.2.e.m.79.2', 'target_level': 637, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47986203
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202459, 'target_is_minimal': True, 'target_label': '91.2.e.c.79.2', 'target_level': 91, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47986204
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 508, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439907965, 'target_is_minimal': False, 'target_label': '637.2.e.m.508.2', 'target_level': 637, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47986205
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 508, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518273048315039, 'target_is_minimal': False, 'target_label': '1183.2.e.f.508.4', 'target_level': 1183, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 47986206
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186246268517, 'target_is_minimal': False, 'target_label': '5733.2.a.bl.1.2', 'target_level': 5733, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47986207
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 352, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525815900439347, 'target_is_minimal': False, 'target_label': '819.2.j.h.352.4', 'target_level': 819, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47986208
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873639013, 'target_is_minimal': False, 'target_label': '5733.2.a.bm.1.2', 'target_level': 5733, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '84.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47986209
{'conductor': 364, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 170, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518273048315039, 'target_is_minimal': False, 'target_label': '1183.2.e.f.170.4', 'target_level': 1183, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '364.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 47986210
{'conductor': 364, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147346521, 'target_is_minimal': False, 'target_label': '8281.2.a.bw.1.2', 'target_level': 8281, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '364.207', 'twisting_conrey_index': 207, 'weight': 2}
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id: 47986211
{'conductor': 364, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 417, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 67555162675217840, 'source_is_minimal': False, 'source_label': '1456.2.r.p.417.5', 'source_level': 1456, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 220676381774717017, 'target_is_minimal': False, 'target_label': '8281.2.a.bx.1.2', 'target_level': 8281, 'twist_class_label': '91.2.e.c.53.2', 'twist_class_level': 91, 'twisting_char_label': '364.311', 'twisting_conrey_index': 311, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1965825
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 67555162675217840, 'p': 2}
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id: 1965826
{'charpoly_factorization': [[[16, 64, 256, 72, 144, 4, 65, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 3}
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id: 1965827
{'charpoly_factorization': [[[2304, 2304, 3264, 480, 1024, 156, 217, 10, 19, 2, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 5}
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id: 1965828
{'charpoly_factorization': [[[16807, 2401, 2058, 833, 119, 204, 17, 17, 6, 1, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 7}
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id: 1965829
{'charpoly_factorization': [[[1089, -1485, 2751, -1386, 2467, -1749, 1099, -352, 85, -11, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 11}
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id: 1965830
{'charpoly_factorization': [[[-1, 1], 10]], 'hecke_orbit_code': 67555162675217840, 'p': 13}
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id: 1965831
{'charpoly_factorization': [[[184041, -39897, 54123, -9018, 11137, -1831, 921, -102, 47, -5, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 17}
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id: 1965832
{'charpoly_factorization': [[[49729, -38579, 69177, 24204, 31391, 427, 1607, -226, 95, -9, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 19}
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id: 1965833
{'charpoly_factorization': [[[144, -144, 456, -432, 1168, -1034, 713, -258, 69, -10, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 23}
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id: 1965834
{'charpoly_factorization': [[[-108, 144, -19, -25, 3, 1], 2]], 'hecke_orbit_code': 67555162675217840, 'p': 29}
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id: 1965835
{'charpoly_factorization': [[[126736, -180848, 221752, -95248, 43528, -230, 3825, -162, 97, 6, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 31}
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id: 1965836
{'charpoly_factorization': [[[49505296, 4643760, 5206008, 1114512, 504800, 77014, 14373, 912, 127, 4, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 37}
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id: 1965837
{'charpoly_factorization': [[[-1584, -2544, 940, -28, -14, 1], 2]], 'hecke_orbit_code': 67555162675217840, 'p': 41}
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id: 1965838
{'charpoly_factorization': [[[-64, -288, -308, -72, 2, 1], 2]], 'hecke_orbit_code': 67555162675217840, 'p': 43}
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id: 1965839
{'charpoly_factorization': [[[26718561, -14530059, 8036115, -1208826, 344071, -2771, 12591, 72, 125, -1, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 47}
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id: 1965840
{'charpoly_factorization': [[[398361681, 254656881, 114371547, 27999402, 5280613, 593371, 59477, 3594, 363, 17, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 53}
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id: 1965841
{'charpoly_factorization': [[[1089, -1485, 2751, -1386, 2467, -1749, 1099, -352, 85, -11, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 59}
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id: 1965842
{'charpoly_factorization': [[[71588521, 49759141, 28105035, 6569330, 1397309, 44391, 17429, -190, 243, -11, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 61}
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id: 1965843
{'charpoly_factorization': [[[515244601, 13415109, 49379121, -8631036, 4274771, -387985, 54915, -2214, 331, -13, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 67}
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id: 1965844
{'charpoly_factorization': [[[6336, -456, -853, -25, 15, 1], 2]], 'hecke_orbit_code': 67555162675217840, 'p': 71}
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id: 1965845
{'charpoly_factorization': [[[506944, 498400, 519904, 77400, 54264, 3862, 4925, 84, 75, 0, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 73}
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id: 1965846
{'charpoly_factorization': [[[1000000, -1500000, 2060000, -559000, 239600, 31030, 16889, 654, 141, -2, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 79}
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id: 1965847
{'charpoly_factorization': [[[7488, 2688, -308, -124, 6, 1], 2]], 'hecke_orbit_code': 67555162675217840, 'p': 83}
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id: 1965848
{'charpoly_factorization': [[[59166864, -16522416, 9952152, -893808, 783808, -98078, 24653, -768, 171, -4, 1], 1]], 'hecke_orbit_code': 67555162675217840, 'p': 89}
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id: 1965849
{'charpoly_factorization': [[[-2384, -2240, -612, -16, 12, 1], 2]], 'hecke_orbit_code': 67555162675217840, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 18, 'hecke_orbit': 16, 'label': '1456.2.r.p', 'level': 1456, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61262077
{'hecke_orbit_code': 67555162675217840, 'n': 1, 'trace_an': 10}
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id: 61262078
{'hecke_orbit_code': 67555162675217840, 'n': 2, 'trace_an': 0}
-
id: 61262079
{'hecke_orbit_code': 67555162675217840, 'n': 3, 'trace_an': 0}
-
id: 61262080
{'hecke_orbit_code': 67555162675217840, 'n': 4, 'trace_an': 0}
-
id: 61262081
{'hecke_orbit_code': 67555162675217840, 'n': 5, 'trace_an': -2}
-
id: 61262082
{'hecke_orbit_code': 67555162675217840, 'n': 6, 'trace_an': 0}
-
id: 61262083
{'hecke_orbit_code': 67555162675217840, 'n': 7, 'trace_an': -1}
-
id: 61262084
{'hecke_orbit_code': 67555162675217840, 'n': 8, 'trace_an': 0}
-
id: 61262085
{'hecke_orbit_code': 67555162675217840, 'n': 9, 'trace_an': -3}
-
id: 61262086
{'hecke_orbit_code': 67555162675217840, 'n': 10, 'trace_an': 0}
-
id: 61262087
{'hecke_orbit_code': 67555162675217840, 'n': 11, 'trace_an': 11}
-
id: 61262088
{'hecke_orbit_code': 67555162675217840, 'n': 12, 'trace_an': 0}
-
id: 61262089
{'hecke_orbit_code': 67555162675217840, 'n': 13, 'trace_an': 10}
-
id: 61262090
{'hecke_orbit_code': 67555162675217840, 'n': 14, 'trace_an': 0}
-
id: 61262091
{'hecke_orbit_code': 67555162675217840, 'n': 15, 'trace_an': 0}
-
id: 61262092
{'hecke_orbit_code': 67555162675217840, 'n': 16, 'trace_an': 0}
-
id: 61262093
{'hecke_orbit_code': 67555162675217840, 'n': 17, 'trace_an': 5}
-
id: 61262094
{'hecke_orbit_code': 67555162675217840, 'n': 18, 'trace_an': 0}
-
id: 61262095
{'hecke_orbit_code': 67555162675217840, 'n': 19, 'trace_an': 9}
-
id: 61262096
{'hecke_orbit_code': 67555162675217840, 'n': 20, 'trace_an': 0}
-
id: 61262097
{'hecke_orbit_code': 67555162675217840, 'n': 21, 'trace_an': 2}
-
id: 61262098
{'hecke_orbit_code': 67555162675217840, 'n': 22, 'trace_an': 0}
-
id: 61262099
{'hecke_orbit_code': 67555162675217840, 'n': 23, 'trace_an': 10}
-
id: 61262100
{'hecke_orbit_code': 67555162675217840, 'n': 24, 'trace_an': 0}
-
id: 61262101
{'hecke_orbit_code': 67555162675217840, 'n': 25, 'trace_an': -9}
-
id: 61262102
{'hecke_orbit_code': 67555162675217840, 'n': 26, 'trace_an': 0}
-
id: 61262103
{'hecke_orbit_code': 67555162675217840, 'n': 27, 'trace_an': 0}
-
id: 61262104
{'hecke_orbit_code': 67555162675217840, 'n': 28, 'trace_an': 0}
-
id: 61262105
{'hecke_orbit_code': 67555162675217840, 'n': 29, 'trace_an': -6}
-
id: 61262106
{'hecke_orbit_code': 67555162675217840, 'n': 30, 'trace_an': 0}
-
id: 61262107
{'hecke_orbit_code': 67555162675217840, 'n': 31, 'trace_an': -6}
-
id: 61262108
{'hecke_orbit_code': 67555162675217840, 'n': 32, 'trace_an': 0}
-
id: 61262109
{'hecke_orbit_code': 67555162675217840, 'n': 33, 'trace_an': -8}
-
id: 61262110
{'hecke_orbit_code': 67555162675217840, 'n': 34, 'trace_an': 0}
-
id: 61262111
{'hecke_orbit_code': 67555162675217840, 'n': 35, 'trace_an': 4}
-
id: 61262112
{'hecke_orbit_code': 67555162675217840, 'n': 36, 'trace_an': 0}
-
id: 61262113
{'hecke_orbit_code': 67555162675217840, 'n': 37, 'trace_an': -4}
-
id: 61262114
{'hecke_orbit_code': 67555162675217840, 'n': 38, 'trace_an': 0}
-
id: 61262115
{'hecke_orbit_code': 67555162675217840, 'n': 39, 'trace_an': 0}
-
id: 61262116
{'hecke_orbit_code': 67555162675217840, 'n': 40, 'trace_an': 0}
-
id: 61262117
{'hecke_orbit_code': 67555162675217840, 'n': 41, 'trace_an': 28}
-
id: 61262118
{'hecke_orbit_code': 67555162675217840, 'n': 42, 'trace_an': 0}
-
id: 61262119
{'hecke_orbit_code': 67555162675217840, 'n': 43, 'trace_an': -4}
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id: 61262120
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id: 61262334
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