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{'Nk2': 33640, 'analytic_conductor': 67.1541880998968, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [29, -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': [8410, 1, [5047, 7571], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_disc': 67191542313684992, 'field_disc_factorization': [[2, 12], [7, 10], [58073, 1]], 'field_poly': [1, -4, -62, -140, 41, 298, -8, -234, 41, 56, -13, -4, 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': [[3, [29, -122, -55, 490, 125, -578, -134, 276, 62, -56, -13, 4, 1]], [7, [-6859, 9386, 30172, 2426, -23809, -9682, 4563, 2836, -156, -270, -19, 8, 1]], [11, [2017, 4410, -2605, -9968, -2106, 5908, 2820, -938, -783, -56, 55, 14, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774717146, 'hecke_ring_generator_nbound': 7, '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': False, 'label': '8410.2.a.bx', 'level': 8410, '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, 5, 29], 'level_radical': 290, 'minimal_twist': '290.2.m.a', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(-1+\\beta _{1}-\\beta _{4})q^{3}+q^{4}-q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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-0.1467404908251084], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 8, 'dual_embedding_m': 8, 'embedding_index': 8, 'embedding_m': 8, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.40083163018756873, 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774717146, 'label': '8410.2.a.bx.1.8', 'level': 8410, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [37, 30, 38, 30, 37, 30, 23, 44], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [14, 15, 15, 15, 15, 15, 15, 15], 'ALdims_old': [110, 134, 123, 120, 117, 127, 131, 114], 'Nk2': 33640, 'analytic_conductor': 67.1541880998968, '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': [8410, 1, [5047, 7571], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1245, 'dim': 269, 'eis_dim': 119, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33562842, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 12, 12, 12, 12, 18, 18], 'label': '8410.2.a', 'level': 8410, '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, 5, 29], 'level_radical': 290, 'mf_dim': 1364, 'mf_new_dim': 269, 'num_forms': 53, 'plus_dim': 120, 'prim_orbit_index': 1, 'relative_dim': 269, 'sturm_bound': 2610, 'trace_bound': 7, 'trace_display': [-1, -4, 1, -8], 'traces': [269, -1, -4, 269, 1, 0, -8, -1, 269, -1, -4, -4, -10, 4, 4, 269, -2, -13, -12, 1, 8, 0, 16, 0, 269, -6, 8, -8, 0, 4, 8, -1, 24, 6, 4, 269, 2, 8, 16, -1, -6, 16, -12, -4, -3, 12, 32, -4, 273, -1, 32, -10, 14, 24, -4, 4, 48, 0, 20, 4, -10, 24, 48, 269, 2, 24, -8, -2, 48, 4, 48, -13, 6, 10, -4, -12, 24, 24, -16, 1, 277, 14, 40, 8, 14, -16, 0, 0, 26, 3, -16, 16, 24, 20, -4, 0, -42, -9, 12, 269, 6, -8, -40, -6, -24, -22, 8, 8, -10, 0, 8, -8, -34, -8, -4, 0, -74, 12, -16, 4, 257, -26, 0, 8, 1, 52, -64, -1, -8, -6, 44, 24, -40, -32, 40, 6, 6, 0, -4, 4, -64, 48, 24, 269, 0, -2, -36, 2, -10, 0, 0, 8, 6, -32, -32, 16, -6, -16, 56, -1, 0, -57, -20, -6, 8, -8, 48, 16, 207, 10, -36, -12, 6, 0, -8, -4, 48, -42, -12, -3, 38, 24, -64, 12, -6, -32, 32, 32, 16, 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mf_twists_cc • Show schema
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id: 49038251
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 220676381774717146, 'source_is_minimal': False, 'source_label': '8410.2.a.bx.1.8', 'source_level': 8410, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 220676381774717146, 'target_is_minimal': False, 'target_label': '8410.2.a.bx.1.8', 'target_level': 8410, 'twist_class_label': '290.2.m.a.71.2', 'twist_class_level': 290, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49038252
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 220676381774717146, 'source_is_minimal': False, 'source_label': '8410.2.a.bx.1.8', 'source_level': 8410, 'target_conrey_index': 71, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275554, 'target_is_minimal': True, 'target_label': '290.2.m.a.71.2', 'target_level': 290, 'twist_class_label': '290.2.m.a.71.2', 'twist_class_level': 290, 'twisting_char_label': '29.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49038253
{'conductor': 29, 'degree': 12, 'order': 28, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 220676381774717146, 'source_is_minimal': False, 'source_label': '8410.2.a.bx.1.8', 'source_level': 8410, 'target_conrey_index': 241, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275554, 'target_is_minimal': True, 'target_label': '290.2.m.a.241.2', 'target_level': 290, 'twist_class_label': '290.2.m.a.71.2', 'twist_class_level': 290, 'twisting_char_label': '29.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 49038254
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 220676381774717146, 'source_is_minimal': False, 'source_label': '8410.2.a.bx.1.8', 'source_level': 8410, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 216172782147346650, 'target_is_minimal': False, 'target_label': '8410.2.a.bw.1.5', 'target_level': 8410, 'twist_class_label': '290.2.m.a.71.2', 'twist_class_level': 290, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4748025
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 220676381774717146, 'p': 2}
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id: 4748026
{'charpoly_factorization': [[[29, -122, -55, 490, 125, -578, -134, 276, 62, -56, -13, 4, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 3}
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id: 4748027
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 220676381774717146, 'p': 5}
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id: 4748028
{'charpoly_factorization': [[[-6859, 9386, 30172, 2426, -23809, -9682, 4563, 2836, -156, -270, -19, 8, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 7}
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id: 4748029
{'charpoly_factorization': [[[2017, 4410, -2605, -9968, -2106, 5908, 2820, -938, -783, -56, 55, 14, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 11}
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id: 4748030
{'charpoly_factorization': [[[-8231, -18090, 9066, 33324, 269, -18274, -3186, 3362, 762, -214, -52, 4, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 13}
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id: 4748031
{'charpoly_factorization': [[[-27383, -196106, -554741, -778592, -542110, -133638, 37407, 23500, 1286, -830, -89, 8, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 17}
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id: 4748032
{'charpoly_factorization': [[[-25160659, -4005620, 13930683, -153920, -2553916, 269796, 195236, -34808, -5282, 1502, -20, -16, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 19}
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id: 4748033
{'charpoly_factorization': [[[-1399, 42346, -18906, -73710, 31723, 41920, -16962, -8522, 3219, 378, -111, -4, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 23}
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id: 4748034
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 220676381774717146, 'p': 29}
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id: 4748035
{'charpoly_factorization': [[[18019933, -34071332, -18439830, 17167234, 8042235, -970604, -634558, 11656, 18693, 140, -229, -2, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 31}
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id: 4748036
{'charpoly_factorization': [[[464857, -1840064, 1572726, 579898, -935274, -29768, 169574, 12602, -11852, -2258, -31, 18, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 37}
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id: 4748037
{'charpoly_factorization': [[[2747977, 20620372, -25938973, -8589996, 10850739, -595620, -797252, 57264, 23615, -908, -270, 4, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 41}
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id: 4748038
{'charpoly_factorization': [[[1448881, -2182754, -3880849, 2216074, 4482716, 1774584, 57232, -115822, -26985, -1526, 189, 28, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 43}
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id: 4748039
{'charpoly_factorization': [[[-39840751, -115743020, -79613798, 19581090, 33076986, 9125080, -39656, -408386, -66985, -2482, 338, 36, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 47}
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id: 4748040
{'charpoly_factorization': [[[17104361, -293053572, -218100948, 20686036, 28928246, -145726, -1426664, -10192, 31754, 98, -305, 0, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 53}
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id: 4748041
{'charpoly_factorization': [[[-5707211, 10766404, 15433750, -37989970, 17135081, -537102, -942109, 94620, 19542, -1950, -207, 12, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 59}
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id: 4748042
{'charpoly_factorization': [[[-1459133003, 1413685878, 800769050, -313616516, -59256583, 24612964, 204476, -589298, 27779, 4812, -335, -12, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 61}
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id: 4748043
{'charpoly_factorization': [[[3475662793, 4488692460, 1896041474, 133112056, -111202906, -25662728, 436064, 585438, 26798, -4872, -319, 14, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 67}
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id: 4748044
{'charpoly_factorization': [[[-26318719699, -1372723676, 4472672184, 563426630, -223438443, -42665760, 2417890, 871166, 12263, -6794, -283, 18, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 71}
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id: 4748045
{'charpoly_factorization': [[[-61899599, -858492878, -640336523, -74831566, 49818589, 13527900, -422206, -484934, -42265, 3526, 796, 48, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 73}
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id: 4748046
{'charpoly_factorization': [[[-545276647, 702716574, -35657413, -133129724, 20863886, 8025080, -1598955, -169848, 41063, 1106, -386, 0, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 79}
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id: 4748047
{'charpoly_factorization': [[[-12572314159, 83233058, 3038198991, -297867580, -218713399, 38292428, 3004532, -893262, 5857, 7346, -264, -20, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 83}
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id: 4748048
{'charpoly_factorization': [[[2079144677, 7380031844, 2423174778, -353647016, -211242853, -5718052, 5842920, 502100, -55989, -7684, 31, 32, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 89}
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id: 4748049
{'charpoly_factorization': [[[-44948903, -59740482, 1271251811, 159531642, -244001360, -59339800, 1744987, 1351424, 51579, -8446, -468, 16, 1], 1]], 'hecke_orbit_code': 220676381774717146, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '8410.2.a.bx', 'level': 8410, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71545183
{'hecke_orbit_code': 220676381774717146, 'n': 1, 'trace_an': 12}
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id: 71545184
{'hecke_orbit_code': 220676381774717146, 'n': 2, 'trace_an': 12}
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id: 71545185
{'hecke_orbit_code': 220676381774717146, 'n': 3, 'trace_an': -4}
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id: 71545186
{'hecke_orbit_code': 220676381774717146, 'n': 4, 'trace_an': 12}
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id: 71545187
{'hecke_orbit_code': 220676381774717146, 'n': 5, 'trace_an': -12}
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id: 71545188
{'hecke_orbit_code': 220676381774717146, 'n': 6, 'trace_an': -4}
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id: 71545189
{'hecke_orbit_code': 220676381774717146, 'n': 7, 'trace_an': -8}
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id: 71545190
{'hecke_orbit_code': 220676381774717146, 'n': 8, 'trace_an': 12}
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id: 71545191
{'hecke_orbit_code': 220676381774717146, 'n': 9, 'trace_an': 6}
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id: 71545192
{'hecke_orbit_code': 220676381774717146, 'n': 10, 'trace_an': -12}
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id: 71545193
{'hecke_orbit_code': 220676381774717146, 'n': 11, 'trace_an': -14}
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id: 71545194
{'hecke_orbit_code': 220676381774717146, 'n': 12, 'trace_an': -4}
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