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{'Nk2': 10668, 'analytic_conductor': 21.29610221907548, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [127, -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': [2667, 1, [890, 1144, 2416], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 11, 'field_disc': 909527065944856201, 'field_disc_factorization': [[113, 1], [641, 1], [12556805129497, 1]], 'field_poly': [57, -121, -170, 313, 215, -247, -112, 88, 25, -15, -2, 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': [[2, [-57, -121, 170, 313, -215, -247, 112, 88, -25, -15, 2, 1]], [5, [-288, -400, 1192, 2212, 22, -1331, -197, 319, 32, -32, -1, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307262059, 'hecke_ring_generator_nbound': 5, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2667.2.a.k', 'level': 2667, '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, 7, 127], 'level_radical': 2667, 'minimal_twist': '2667.2.a.k', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}-\\beta _{7}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 11, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2667.2.a', 'trace_display': [-2, 11, 1, -11], 'trace_hash': 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mf_newspaces • Show schema
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{'ALdims': [14, 19, 13, 18, 17, 14, 10, 22], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [24, 27, 28, 24, 30, 24, 33, 20], 'Nk2': 10668, 'analytic_conductor': 21.29610221907548, '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': [2667, 1, [890, 1144, 2416], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 337, 'dim': 127, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33557099, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 13, 14, 16, 16, 18, 19], 'label': '2667.2.a', 'level': 2667, '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, 7, 127], 'level_radical': 2667, 'mf_dim': 344, 'mf_new_dim': 127, 'num_forms': 17, 'plus_dim': 56, 'prim_orbit_index': 1, 'relative_dim': 127, 'sturm_bound': 682, 'trace_bound': 4, 'trace_display': [1, -1, 10, -1], 'traces': [127, 1, -1, 133, 10, 5, -1, -3, 127, -2, -12, -7, 2, -3, 2, 133, 14, 1, -4, 38, 3, 20, -8, 9, 145, 38, -1, -7, 2, -2, 16, 25, -12, 22, -6, 133, -6, -8, 2, -2, 30, 1, -28, -64, 10, -8, -24, -31, 127, -25, 6, -38, 10, 5, -32, -15, -12, -34, -36, 6, 10, 28, -1, 157, 36, -20, -52, -6, 16, 22, -32, -3, 54, 58, -15, 52, -12, 30, 32, 46, 127, -30, 28, 5, 4, -20, -22, 32, 38, -2, -6, -32, 8, -8, 0, 73, -2, 1, -12, 139, -6, -14, -56, 202, -6, 94, -92, -7, 42, -96, -22, 1, 22, 20, -32, 78, 2, -20, -2, -10, 91, -38, -26, 40, 12, -3, 19, -19, 20, 60, -68, 28, 4, -60, 2, 154, 6, -24, -100, -42, 0, -12, 40, 133, -4, 82, -1, -66, -22, 27, -32, -76, 14, -36, -176, 30, -22, -136, -22, -34, -8, 1, -44, -10, -8, -60, -72, 21, 249, -124, -4, 76, -6, 6, -15, -140, -20, -30, -20, 38, 10, 30, -14, 24, 28, 56, -128, -180, 3, -128, 0, -31, -42, -94, -44, 133, -38, 20, -88, -101, 28, 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14, 12, 88, 164, 8, -144, 136, -26, 145, 342, 86, 192, 422, -8, 91, 166, -4, 354, -352, -184, 10, -50, 0, -228, -10, 328, -108, -352, -2, -88, 288, 73, 140, -490, 93, -24, -184, -188, 224, 38, -2, 312, 84, -118, -150, 416, 42, 360, 214, 1, 228, -48, 72, 24, 256, -250, 15, -28, -12, -224, 64, -114, -128, -143, -88, 442, 320, 139, -84, 228, -28, 6, 92, -112, -172, 332, -6, 52, -32, 76, -24, 66, 68, -154, -84, -14, 192, 568, 44, -82, 480, -36, 270, 164, -56, -82, 278, 16, -4, -510, 32, 132, 416, 202, 14, -44, -34, -304, -102, 62, 400, -292, -6, 16, -204, -64, 164, -376, -142, -118, 110, 94, -184, 32, -24, -24, 70, 270, 63, 400, -92, 194, 244, 48, 152, 553, -40, 68, -316, -7, 100, -32, 190, -214, 70, -36, 240, 38, 42, -180, -32, -78, 60, 476, 32, 580, -16, -96, -32, -704, 68, -24, 72, 116, 226, -60, -22, -428], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47053495
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 6, 'source_hecke_orbit_code': 45035996307262059, 'source_is_minimal': True, 'source_label': '2667.2.a.k.1.6', 'source_level': 2667, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45035996307262059, 'target_is_minimal': True, 'target_label': '2667.2.a.k.1.6', 'target_level': 2667, 'twist_class_label': '2667.2.a.k.1.6', 'twist_class_level': 2667, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47053496
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 6, 'source_hecke_orbit_code': 45035996307262059, 'source_is_minimal': True, 'source_label': '2667.2.a.k.1.6', 'source_level': 2667, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 6, 'target_hecke_orbit_code': 54043195562008385, 'target_is_minimal': False, 'target_label': '8001.2.a.m.1.6', 'target_level': 8001, 'twist_class_label': '2667.2.a.k.1.6', 'twist_class_level': 2667, '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: 2785950
{'charpoly_factorization': [[[-57, -121, 170, 313, -215, -247, 112, 88, -25, -15, 2, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 2}
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id: 2785951
{'charpoly_factorization': [[[-1, 1], 11]], 'hecke_orbit_code': 45035996307262059, 'p': 3}
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id: 2785952
{'charpoly_factorization': [[[-288, -400, 1192, 2212, 22, -1331, -197, 319, 32, -32, -1, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 5}
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id: 2785953
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 45035996307262059, 'p': 7}
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id: 2785954
{'charpoly_factorization': [[[36, -29, -3986, -8290, -2721, 2976, 1720, -154, -220, -19, 7, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 11}
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id: 2785955
{'charpoly_factorization': [[[-4206, -28879, -40072, 26680, 34890, -3910, -8910, -1300, 560, 203, 24, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 13}
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id: 2785956
{'charpoly_factorization': [[[1027734, 934417, -592196, -642702, 6636, 100401, 16043, -3647, -997, -2, 15, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 17}
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id: 2785957
{'charpoly_factorization': [[[5452108, 3313291, -2611332, -1580787, 224206, 219573, 12647, -9603, -1565, 25, 19, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 19}
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id: 2785958
{'charpoly_factorization': [[[-255744, -945552, -1248080, -634240, 2422, 106785, 28022, -1049, -1115, -70, 11, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 23}
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id: 2785959
{'charpoly_factorization': [[[9221472, -11240192, 973480, 2763640, -570370, -218507, 45140, 7677, -1190, -138, 10, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 29}
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id: 2785960
{'charpoly_factorization': [[[260432712, 140309189, -14131262, -18612657, -1384643, 800427, 119277, -10927, -2759, -25, 20, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 31}
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id: 2785961
{'charpoly_factorization': [[[-1099454, 3878325, 1207262, -1452847, -321373, 177525, 35617, -7651, -1653, 47, 22, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 37}
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id: 2785962
{'charpoly_factorization': [[[357543498, 33775933, -109512291, 9262203, 7212393, -822612, -189872, 22508, 2179, -252, -9, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 41}
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id: 2785963
{'charpoly_factorization': [[[926056896, 642059344, -1415320, -81050000, -13637948, 1525617, 461260, 3583, -4939, -212, 17, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 43}
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id: 2785964
{'charpoly_factorization': [[[2774616, -3856891, -3838993, 2419843, 327718, -296999, 6597, 11365, -626, -169, 7, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 47}
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id: 2785965
{'charpoly_factorization': [[[416, -2544, -4256, 44412, -64028, 16793, 16727, -6827, -852, 177, 28, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 53}
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id: 2785966
{'charpoly_factorization': [[[1303104, -9216464, 16687512, -4048552, -4136620, 1234729, 63912, -44579, 2719, 280, -35, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 59}
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id: 2785967
{'charpoly_factorization': [[[-1347574, 433429, 885546, -112235, -211359, -5325, 19263, 1917, -665, -93, 6, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 61}
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id: 2785968
{'charpoly_factorization': [[[9891955904, 13129762256, 2948406144, -444346976, -146278234, 2475449, 2199819, 48042, -12106, -454, 22, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 67}
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id: 2785969
{'charpoly_factorization': [[[-125943744, -456179213, -424812369, -133824927, -7464734, 3586004, 535774, -16202, -6427, -162, 22, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 71}
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id: 2785970
{'charpoly_factorization': [[[13520209618, 9510367151, 745817410, -582096840, -75414841, 10127910, 1672678, -37994, -12812, -227, 29, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 73}
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id: 2785971
{'charpoly_factorization': [[[-11637350848, 3128912401, 1637287493, -120725523, -65389709, 481613, 1074427, 25149, -7734, -311, 20, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 79}
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id: 2785972
{'charpoly_factorization': [[[-205464384, -271115952, -42003328, 30620768, 6914666, -975985, -244000, 16632, 3392, -186, -17, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 83}
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id: 2785973
{'charpoly_factorization': [[[518712672, -1199824192, 146506128, 142899880, -12240104, -5766519, 206876, 88157, -914, -515, 1, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 89}
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id: 2785974
{'charpoly_factorization': [[[350624, -1144320, 150240, 1572384, 6468, -571915, -152880, 1143, 5116, 753, 45, 1], 1]], 'hecke_orbit_code': 45035996307262059, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '2667.2.a.k', 'level': 2667, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 54290917
{'hecke_orbit_code': 45035996307262059, 'n': 1, 'trace_an': 11}
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id: 54290918
{'hecke_orbit_code': 45035996307262059, 'n': 2, 'trace_an': -2}
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id: 54290919
{'hecke_orbit_code': 45035996307262059, 'n': 3, 'trace_an': 11}
-
id: 54290920
{'hecke_orbit_code': 45035996307262059, 'n': 4, 'trace_an': 12}
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id: 54290921
{'hecke_orbit_code': 45035996307262059, 'n': 5, 'trace_an': 1}
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id: 54290922
{'hecke_orbit_code': 45035996307262059, 'n': 6, 'trace_an': -2}
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id: 54290923
{'hecke_orbit_code': 45035996307262059, 'n': 7, 'trace_an': -11}
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id: 54290924
{'hecke_orbit_code': 45035996307262059, 'n': 8, 'trace_an': -15}
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id: 54290925
{'hecke_orbit_code': 45035996307262059, 'n': 9, 'trace_an': 11}
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id: 54290926
{'hecke_orbit_code': 45035996307262059, 'n': 10, 'trace_an': -12}
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id: 54290927
{'hecke_orbit_code': 45035996307262059, 'n': 11, 'trace_an': -7}
-
id: 54290928
{'hecke_orbit_code': 45035996307262059, 'n': 12, 'trace_an': 12}
-
id: 54290929
{'hecke_orbit_code': 45035996307262059, 'n': 13, 'trace_an': -24}
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id: 54290930
{'hecke_orbit_code': 45035996307262059, 'n': 14, 'trace_an': 2}
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