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{'Nk2': 18392, 'analytic_conductor': 36.71521484938472, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, 1], [19, -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': [4598, 1, [3269, 3631], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 169616166912, 'field_disc_factorization': [[2, 12], [3, 4], [511237, 1]], 'field_poly': [-2, -28, -90, 32, 75, -4, -16, 0, 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, [-44, -368, 557, -80, -183, 72, 9, -8, 1]], [5, [1408, 1536, -1984, -288, 470, 12, -38, 0, 1]], [7, [-1388, -5408, -867, 1716, 387, -152, -37, 4, 1]], [13, [-368, -96, 1088, 72, -451, 84, 34, -12, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402083830, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4598.2.a.by', 'level': 4598, '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, 11, 19], 'level_radical': 418, 'minimal_twist': '4598.2.a.by', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(1+\\beta _{6})q^{3}+q^{4}+(-\\beta _{2}-\\beta _{3}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4598.2.a', 'trace_display': 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'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.11589914096548587, 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402083830, 'label': '4598.2.a.by.1.2', 'level': 4598, 'weight': 2}
-
mf_newspaces • Show schema
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{'ALdims': [16, 23, 24, 19, 25, 14, 16, 26], 'Nk2': 18392, 'analytic_conductor': 36.71521484938472, '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': [4598, 1, [3269, 3631], [1, 1]], 'conrey_index': 1, 'cusp_dim': 637, 'dim': 163, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33559030, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10], 'label': '4598.2.a', 'level': 4598, '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, 11, 19], 'level_radical': 418, 'mf_dim': 684, 'mf_new_dim': 163, 'num_forms': 56, 'plus_dim': 65, 'prim_orbit_index': 1, 'relative_dim': 163, 'sturm_bound': 1320, 'trace_bound': 13, 'trace_display': [-1, 4, 2, 6], 'traces': [163, -1, 4, 163, 2, -2, 6, -1, 169, -2, 0, 4, -2, -4, 20, 163, 8, 3, 1, 2, 20, 0, 22, -2, 173, -4, 16, 6, -10, -12, 28, -1, 0, -2, 20, 169, 26, -3, 38, -2, 6, -10, 8, 0, 30, -12, 20, 4, 177, -15, 32, -2, 30, -14, 0, -4, 2, -4, -4, 20, 2, 4, 40, 163, -16, 0, 20, 8, 4, 36, 36, 3, 12, -6, 28, 1, 0, 44, 36, 2, 219, 6, -8, 20, -40, 24, 14, 0, 66, 2, 40, 22, 12, -8, 2, -2, -14, 15, 0, 173, 14, 42, 48, -4, -36, -24, -12, 16, 22, 0, 4, 6, -14, -4, 20, -10, -22, -10, -34, -12, 0, -70, 0, 28, -72, 8, 4, -1, -12, -116, -16, 0, 8, -2, 132, -2, -84, 38, 40, 20, -8, 24, 0, 169, 0, -126, 28, 26, -14, 66, 56, -3, -10, 0, 48, 38, -70, 24, 30, -2, -78, 23, 36, 6, 0, 4, -56, -10, 211, -60, -3, 8, -94, 20, 82, 0, 18, 10, -4, 30, -6, 50, -4, -12, -136, 52, 0, 20, -60, -2, 86, 4, -2, -2, -92, 177, -14, 0, 102, -15, 74, -114, 32, 32, -60, 44, 128, -2, 0, 116, -4, 30, 104, -34, -16, -14, 36, 16, 48, 0, -84, 24, 48, -4, 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-424, -432, -4, 46, -134, 60, 303, -64, 0, 252, -66, -40, 24, 36, 28, 338, -36, 180, 2, 0, 302, -72, -2, -64, 118, -38, 52, -160, -262, -16, 0, 202, 56, 568, -4, -284, 64, 33, 54, -84, -88, 0, 22, -4, -10, 152, 64, 94, -112, -120, -4, -108, 0, 156, 0, 64, -5, -6, -52, -34, 18, 96, -66, 0, 264, -154, 20, 331, -112, -140, -10, -20, -370, -116, 0, 30, 76, 324, 172, 124, 52, 58, 2, 122, 84, 0, 14, -54, -412, -124, 8, -268, 146, 232, 8, 12, 0, 116, 4, 406, 96, -216, -80, -98, -24, 268, -84], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49041050
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 225179981402083830, 'source_is_minimal': True, 'source_label': '4598.2.a.by.1.2', 'source_level': 4598, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402083830, 'target_is_minimal': True, 'target_label': '4598.2.a.by.1.2', 'target_level': 4598, 'twist_class_label': '4598.2.a.by.1.2', 'twist_class_level': 4598, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49041051
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 225179981402083830, 'source_is_minimal': True, 'source_label': '4598.2.a.by.1.2', 'source_level': 4598, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 238690780284195318, 'target_is_minimal': True, 'target_label': '4598.2.a.cb.1.2', 'target_level': 4598, 'twist_class_label': '4598.2.a.by.1.2', 'twist_class_level': 4598, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3645375
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 225179981402083830, 'p': 2}
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id: 3645376
{'charpoly_factorization': [[[-44, -368, 557, -80, -183, 72, 9, -8, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 3}
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id: 3645377
{'charpoly_factorization': [[[1408, 1536, -1984, -288, 470, 12, -38, 0, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 5}
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id: 3645378
{'charpoly_factorization': [[[-1388, -5408, -867, 1716, 387, -152, -37, 4, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 7}
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id: 3645379
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 225179981402083830, 'p': 11}
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id: 3645380
{'charpoly_factorization': [[[-368, -96, 1088, 72, -451, 84, 34, -12, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 13}
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id: 3645381
{'charpoly_factorization': [[[-92, 1480, -1912, -1076, 613, 128, -46, -4, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 17}
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id: 3645382
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 225179981402083830, 'p': 19}
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id: 3645383
{'charpoly_factorization': [[[35296, 67256, 15805, -13070, -1713, 980, -29, -14, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 23}
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id: 3645384
{'charpoly_factorization': [[[964, -92436, -62863, -26, 4833, 148, -123, -2, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 29}
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id: 3645385
{'charpoly_factorization': [[[-9344, 11648, 37888, 24096, 4264, -368, -132, 0, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 31}
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id: 3645386
{'charpoly_factorization': [[[29569, -23888, -55602, 49120, -13230, 952, 134, -24, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 37}
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id: 3645387
{'charpoly_factorization': [[[-3872, 40480, 50000, 14680, -2162, -1444, -130, 8, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 41}
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id: 3645388
{'charpoly_factorization': [[[-67328, -55936, 17568, 20128, 1736, -800, -96, 8, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 43}
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id: 3645389
{'charpoly_factorization': [[[-2659283, 1731808, 1385868, 218304, -8910, -4208, -172, 16, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 47}
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id: 3645390
{'charpoly_factorization': [[[2770816, -1436784, 23497, 103740, -17347, -744, 413, -36, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 53}
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id: 3645391
{'charpoly_factorization': [[[-20032604, -2459400, 1154669, 175128, -17311, -3672, 1, 24, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 59}
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id: 3645392
{'charpoly_factorization': [[[16192, -90912, 109160, 54264, -2338, -2772, -194, 12, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 61}
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id: 3645393
{'charpoly_factorization': [[[457168, -830496, 431552, -44968, -15135, 3464, -126, -16, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 67}
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id: 3645394
{'charpoly_factorization': [[[3806464, 1199424, -456232, -94072, 21990, 1244, -282, -4, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 71}
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id: 3645395
{'charpoly_factorization': [[[-37382204, 12732376, 1400232, -610900, 6341, 6848, -270, -20, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 73}
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id: 3645396
{'charpoly_factorization': [[[51808, -32864, -27728, 33528, -12530, 1988, -78, -12, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 79}
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id: 3645397
{'charpoly_factorization': [[[-251648, -356416, 393656, 211784, -15090, -6444, -234, 20, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 83}
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id: 3645398
{'charpoly_factorization': [[[-320672, -4640, 262448, -81848, -594, 2532, -210, -8, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 89}
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id: 3645399
{'charpoly_factorization': [[[-1921664, 2470912, 117760, -325888, 38568, 2896, -452, -4, 1], 1]], 'hecke_orbit_code': 225179981402083830, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '4598.2.a.by', 'level': 4598, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71576401
{'hecke_orbit_code': 225179981402083830, 'n': 1, 'trace_an': 8}
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id: 71576402
{'hecke_orbit_code': 225179981402083830, 'n': 2, 'trace_an': -8}
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id: 71576403
{'hecke_orbit_code': 225179981402083830, 'n': 3, 'trace_an': 8}
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id: 71576404
{'hecke_orbit_code': 225179981402083830, 'n': 4, 'trace_an': 8}
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id: 71576405
{'hecke_orbit_code': 225179981402083830, 'n': 5, 'trace_an': 0}
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id: 71576406
{'hecke_orbit_code': 225179981402083830, 'n': 6, 'trace_an': -8}
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id: 71576407
{'hecke_orbit_code': 225179981402083830, 'n': 7, 'trace_an': -4}
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id: 71576408
{'hecke_orbit_code': 225179981402083830, 'n': 8, 'trace_an': -8}
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id: 71576409
{'hecke_orbit_code': 225179981402083830, 'n': 9, 'trace_an': 22}
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id: 71576410
{'hecke_orbit_code': 225179981402083830, 'n': 10, 'trace_an': 0}
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id: 71576411
{'hecke_orbit_code': 225179981402083830, 'n': 11, 'trace_an': 0}
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