-
mf_newforms • Show schema
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{'Nk2': 94680, 'analytic_conductor': 189.00590158437066, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [263, -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': [23670, 1, [13151, 18937, 13681], [10, 10, 10]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': -1, 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679912566, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '23670.2.a.j', 'level': 23670, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 263], 'level_radical': 7890, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+q^{5}+5q^{7}-q^{8}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/23670/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '23670.2.a', 'trace_display': [-1, 0, 1, 5], 'traces': [1, -1, 0, 1, 1, 0, 5, -1, 0, -1, -1, 0, 0, -5, 0, 1, 4, 0, 0, 1, 0, 1, -4, 0, 1, 0, 0, 5, 4, 0, 5, -1, 0, -4, 5, 0, 2, 0, 0, -1, 0, 0, 4, -1, 0, 4, 1, 0, 18, -1, 0, 0, 11, 0, -1, -5, 0, -4, -12, 0, 9, -5, 0, 1, 0, 0, 8, 4, 0, -5, -2, 0, 13, -2, 0, 0, -5, 0, -10, 1, 0, 0, -12, 0, 4, -4, 0, 1, 15, 0, 0, -4, 0, -1, 0, 0, 2, -18, 0, 1], 'weight': 2, 'weight_parity': 1}
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label 23670.2.a.j does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [23, 20, 20, 23, 36, 30, 30, 36, 23, 20, 20, 23, 28, 37, 37, 28], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [258, 290, 286, 265, 268, 259, 264, 261, 279, 270, 276, 273, 269, 257, 252, 276], 'Nk2': 94680, 'analytic_conductor': 189.00590158437066, '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': [23670, 1, [13151, 18937, 13681], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4737, 'dim': 434, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_orbit_code': 33578102, 'hecke_orbit_dims': [1, 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, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 7, 7, 9, 10, 10, 11, 11, 11, 13, 13, 13, 14, 14, 14, 15, 16, 20, 20, 21, 21, 23, 23], 'label': '23670.2.a', 'level': 23670, '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, 3, 5, 263], 'level_radical': 7890, 'mf_dim': 4768, 'mf_new_dim': 434, 'num_forms': 74, 'plus_dim': 202, 'prim_orbit_index': 1, 'relative_dim': 434, 'sturm_bound': 9504, 'trace_display': [-2, 0, 0, 0], 'traces': [434, -2, 0, 434, 0, 0, 0, -2, 0, 0, -4, 0, 12, 8, 0, 434, 4, 0, 12, 0, 0, 24, -8, 0, 434, -8, 0, 0, 0, 0, 16, -2, 0, -4, -4, 0, -28, 20, 0, 0, -12, 0, 0, -4, 0, 8, 32, 0, 426, -2, 0, 12, -8, 0, 0, 8, 0, -8, 28, 0, 40, 0, 0, 434, 0, 0, 28, 4, 0, 4, -48, 0, 28, 8, 0, 12, 16, 0, 24, 0, 0, -20, 16, 0, 24, 20, 0, 24, 68, 0, 32, -8, 0, -24, 24, 0, -28, -66, 0, 434, 32, 0, 8, -8, 0, -24, -20, 0, -32, 0, 0, 0, 28, 0, -8, 0, 0, -4, -56, 0, 438, -12, 0, 16, 0, 0, -72, -2, 0, -16, -28, 0, -24, -4, 0, -4, -28, 0, -76, -4, 0, -40, -64, 0, 24, -20, 0, -28, 8, 0, 24, 20, 0, 0, -16, 0, 28, 8, 0, 0, -64, 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-20, 28, 0, 20, 84, 0, 498, 220, 0, 216, 24, 0, 144, -40, 0, -48, -56, 0, 0, -240, 0, -132, -68, 0, 36, 56, 0, 160, 28, 0, 0, 8, 0, -64, -4, 0, -28, 160, 0, -100, -72, 0, 84, 56, 0, 120, -52, 0, 96, -24, 0, 16, -90, 0, 0, 0, 0, 128, 24, 0, -28, -16, 0, -212, 56, 0, 8, 136, 0, 68, 0, 0, 40, -16, 0, -32, 88, 0, 168, 108, 0, 80, 32, 0, 160, -16, 0, 128, 12, 0, 4, 308, 0, 128, 56, 0, 128, 280, 0, -164, 8, 0, 108, 168, 0, 16, 52, 0, 128, -144, 0, 280, 96, 0, 426, 16, 0, 20, -88, 0, 40, -124, 0, -48, 64, 0, 8, -188, 0, 264, -2, 0, 100, 240, 0, 64, -96, 0, -8, -12, 0, 116, -48, 0, -64, -40, 0, 72, 68, 0, -8, 8, 0, -64, 24, 0, -88, 324, 0, 112, 72, 0, 12, 364, 0, 72, 8, 0, 16, 416, 0, 354, 72, 0, 4, 80, 0, 8, -8, 0, -4, 184, 0, -132, 160, 0, 60, 52, 0, -60, 0, 0, 48, -64, 0, -24, -228, 0, 56, 208, 0, -296, -44, 0, -56, -4, 0, 28, -8, 0, 0, -224, 0, 188, 104, 0, 116, -48, 0, 208, 48, 0, -184, 168, 0, 24, 8, 0, -44, 264, 0, 40, -72, 0, -20, 72, 0, 84, -132, 0, -64, -8, 0, -232, -116, 0, 48, 152, 0, 464, 16, 0, -52, -88, 0, -28, 128, 0, -8, 320, 0, -44, -12, 0, -28, -32, 0, 108, 16, 0, 12, 224, 0, 240, 28, 0, 256, 164, 0, -8, 20, 0, -40, -36, 0, 64, 48, 0, 200, 312, 0, 562, 280, 0, -28, 20, 0, 88, -90, 0, -12, 140, 0, 24, 88, 0, 40, -108, 0, 156, 48, 0, 108, 112, 0, 96, 176, 0, -200, 424, 0, -392, 0, 0, 104, -24, 0, -60, 92, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 23670.2.a.j does not appear in mf_twists_nf
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hecke_orbit_code 40532396679912566 does not appear in mf_hecke_charpolys
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label 23670.2.a.j does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 142862542
{'hecke_orbit_code': 40532396679912566, 'n': 1, 'trace_an': 1}
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id: 142862543
{'hecke_orbit_code': 40532396679912566, 'n': 2, 'trace_an': -1}
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id: 142862544
{'hecke_orbit_code': 40532396679912566, 'n': 3, 'trace_an': 0}
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id: 142862545
{'hecke_orbit_code': 40532396679912566, 'n': 4, 'trace_an': 1}
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id: 142862546
{'hecke_orbit_code': 40532396679912566, 'n': 5, 'trace_an': 1}
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id: 142862547
{'hecke_orbit_code': 40532396679912566, 'n': 6, 'trace_an': 0}
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id: 142862548
{'hecke_orbit_code': 40532396679912566, 'n': 7, 'trace_an': 5}
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id: 142862549
{'hecke_orbit_code': 40532396679912566, 'n': 8, 'trace_an': -1}
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id: 142862550
{'hecke_orbit_code': 40532396679912566, 'n': 9, 'trace_an': 0}
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id: 142862551
{'hecke_orbit_code': 40532396679912566, 'n': 10, 'trace_an': -1}
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id: 142862552
{'hecke_orbit_code': 40532396679912566, 'n': 11, 'trace_an': -1}
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id: 142862553
{'hecke_orbit_code': 40532396679912566, 'n': 12, 'trace_an': 0}
-
id: 142862554
{'hecke_orbit_code': 40532396679912566, 'n': 13, 'trace_an': 0}
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id: 142862555
{'hecke_orbit_code': 40532396679912566, 'n': 14, 'trace_an': -5}
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id: 142862556
{'hecke_orbit_code': 40532396679912566, 'n': 15, 'trace_an': 0}
-
id: 142862557
{'hecke_orbit_code': 40532396679912566, 'n': 16, 'trace_an': 1}
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id: 142862558
{'hecke_orbit_code': 40532396679912566, 'n': 17, 'trace_an': 4}
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id: 142862559
{'hecke_orbit_code': 40532396679912566, 'n': 18, 'trace_an': 0}
-
id: 142862560
{'hecke_orbit_code': 40532396679912566, 'n': 19, 'trace_an': 0}
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id: 142862561
{'hecke_orbit_code': 40532396679912566, 'n': 20, 'trace_an': 1}
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id: 142862562
{'hecke_orbit_code': 40532396679912566, 'n': 21, 'trace_an': 0}
-
id: 142862563
{'hecke_orbit_code': 40532396679912566, 'n': 22, 'trace_an': 1}
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id: 142862564
{'hecke_orbit_code': 40532396679912566, 'n': 23, 'trace_an': -4}
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id: 142862565
{'hecke_orbit_code': 40532396679912566, 'n': 24, 'trace_an': 0}
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id: 142862566
{'hecke_orbit_code': 40532396679912566, 'n': 25, 'trace_an': 1}
-
id: 142862567
{'hecke_orbit_code': 40532396679912566, 'n': 26, 'trace_an': 0}
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id: 142862568
{'hecke_orbit_code': 40532396679912566, 'n': 27, 'trace_an': 0}
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id: 142862569
{'hecke_orbit_code': 40532396679912566, 'n': 28, 'trace_an': 5}
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id: 142862570
{'hecke_orbit_code': 40532396679912566, 'n': 29, 'trace_an': 4}
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id: 142862571
{'hecke_orbit_code': 40532396679912566, 'n': 30, 'trace_an': 0}
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id: 142862572
{'hecke_orbit_code': 40532396679912566, 'n': 31, 'trace_an': 5}
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id: 142862573
{'hecke_orbit_code': 40532396679912566, 'n': 32, 'trace_an': -1}
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id: 142862574
{'hecke_orbit_code': 40532396679912566, 'n': 33, 'trace_an': 0}
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id: 142862575
{'hecke_orbit_code': 40532396679912566, 'n': 34, 'trace_an': -4}
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id: 142862576
{'hecke_orbit_code': 40532396679912566, 'n': 35, 'trace_an': 5}
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id: 142862577
{'hecke_orbit_code': 40532396679912566, 'n': 36, 'trace_an': 0}
-
id: 142862578
{'hecke_orbit_code': 40532396679912566, 'n': 37, 'trace_an': 2}
-
id: 142862579
{'hecke_orbit_code': 40532396679912566, 'n': 38, 'trace_an': 0}
-
id: 142862580
{'hecke_orbit_code': 40532396679912566, 'n': 39, 'trace_an': 0}
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id: 142862581
{'hecke_orbit_code': 40532396679912566, 'n': 40, 'trace_an': -1}
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id: 142862582
{'hecke_orbit_code': 40532396679912566, 'n': 41, 'trace_an': 0}
-
id: 142862583
{'hecke_orbit_code': 40532396679912566, 'n': 42, 'trace_an': 0}
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id: 142862584
{'hecke_orbit_code': 40532396679912566, 'n': 43, 'trace_an': 4}
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id: 142862585
{'hecke_orbit_code': 40532396679912566, 'n': 44, 'trace_an': -1}
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id: 142862586
{'hecke_orbit_code': 40532396679912566, 'n': 45, 'trace_an': 0}
-
id: 142862587
{'hecke_orbit_code': 40532396679912566, 'n': 46, 'trace_an': 4}
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id: 142862588
{'hecke_orbit_code': 40532396679912566, 'n': 47, 'trace_an': 1}
-
id: 142862589
{'hecke_orbit_code': 40532396679912566, 'n': 48, 'trace_an': 0}
-
id: 142862590
{'hecke_orbit_code': 40532396679912566, 'n': 49, 'trace_an': 18}
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id: 142862591
{'hecke_orbit_code': 40532396679912566, 'n': 50, 'trace_an': -1}
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id: 142862592
{'hecke_orbit_code': 40532396679912566, 'n': 51, 'trace_an': 0}
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id: 142862593
{'hecke_orbit_code': 40532396679912566, 'n': 52, 'trace_an': 0}
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id: 142862594
{'hecke_orbit_code': 40532396679912566, 'n': 53, 'trace_an': 11}
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id: 142862595
{'hecke_orbit_code': 40532396679912566, 'n': 54, 'trace_an': 0}
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id: 142862596
{'hecke_orbit_code': 40532396679912566, 'n': 55, 'trace_an': -1}
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id: 142862597
{'hecke_orbit_code': 40532396679912566, 'n': 56, 'trace_an': -5}
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id: 142862598
{'hecke_orbit_code': 40532396679912566, 'n': 57, 'trace_an': 0}
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id: 142862599
{'hecke_orbit_code': 40532396679912566, 'n': 58, 'trace_an': -4}
-
id: 142862600
{'hecke_orbit_code': 40532396679912566, 'n': 59, 'trace_an': -12}
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id: 142862601
{'hecke_orbit_code': 40532396679912566, 'n': 60, 'trace_an': 0}
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id: 142862602
{'hecke_orbit_code': 40532396679912566, 'n': 61, 'trace_an': 9}
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id: 142862603
{'hecke_orbit_code': 40532396679912566, 'n': 62, 'trace_an': -5}
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id: 142862604
{'hecke_orbit_code': 40532396679912566, 'n': 63, 'trace_an': 0}
-
id: 142862605
{'hecke_orbit_code': 40532396679912566, 'n': 64, 'trace_an': 1}
-
id: 142862606
{'hecke_orbit_code': 40532396679912566, 'n': 65, 'trace_an': 0}
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id: 142862607
{'hecke_orbit_code': 40532396679912566, 'n': 66, 'trace_an': 0}
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id: 142862608
{'hecke_orbit_code': 40532396679912566, 'n': 67, 'trace_an': 8}
-
id: 142862609
{'hecke_orbit_code': 40532396679912566, 'n': 68, 'trace_an': 4}
-
id: 142862610
{'hecke_orbit_code': 40532396679912566, 'n': 69, 'trace_an': 0}
-
id: 142862611
{'hecke_orbit_code': 40532396679912566, 'n': 70, 'trace_an': -5}
-
id: 142862612
{'hecke_orbit_code': 40532396679912566, 'n': 71, 'trace_an': -2}
-
id: 142862613
{'hecke_orbit_code': 40532396679912566, 'n': 72, 'trace_an': 0}
-
id: 142862614
{'hecke_orbit_code': 40532396679912566, 'n': 73, 'trace_an': 13}
-
id: 142862615
{'hecke_orbit_code': 40532396679912566, 'n': 74, 'trace_an': -2}
-
id: 142862616
{'hecke_orbit_code': 40532396679912566, 'n': 75, 'trace_an': 0}
-
id: 142862617
{'hecke_orbit_code': 40532396679912566, 'n': 76, 'trace_an': 0}
-
id: 142862618
{'hecke_orbit_code': 40532396679912566, 'n': 77, 'trace_an': -5}
-
id: 142862619
{'hecke_orbit_code': 40532396679912566, 'n': 78, 'trace_an': 0}
-
id: 142862620
{'hecke_orbit_code': 40532396679912566, 'n': 79, 'trace_an': -10}
-
id: 142862621
{'hecke_orbit_code': 40532396679912566, 'n': 80, 'trace_an': 1}
-
id: 142862622
{'hecke_orbit_code': 40532396679912566, 'n': 81, 'trace_an': 0}
-
id: 142862623
{'hecke_orbit_code': 40532396679912566, 'n': 82, 'trace_an': 0}
-
id: 142862624
{'hecke_orbit_code': 40532396679912566, 'n': 83, 'trace_an': -12}
-
id: 142862625
{'hecke_orbit_code': 40532396679912566, 'n': 84, 'trace_an': 0}
-
id: 142862626
{'hecke_orbit_code': 40532396679912566, 'n': 85, 'trace_an': 4}
-
id: 142862627
{'hecke_orbit_code': 40532396679912566, 'n': 86, 'trace_an': -4}
-
id: 142862628
{'hecke_orbit_code': 40532396679912566, 'n': 87, 'trace_an': 0}
-
id: 142862629
{'hecke_orbit_code': 40532396679912566, 'n': 88, 'trace_an': 1}
-
id: 142862630
{'hecke_orbit_code': 40532396679912566, 'n': 89, 'trace_an': 15}
-
id: 142862631
{'hecke_orbit_code': 40532396679912566, 'n': 90, 'trace_an': 0}
-
id: 142862632
{'hecke_orbit_code': 40532396679912566, 'n': 91, 'trace_an': 0}
-
id: 142862633
{'hecke_orbit_code': 40532396679912566, 'n': 92, 'trace_an': -4}
-
id: 142862634
{'hecke_orbit_code': 40532396679912566, 'n': 93, 'trace_an': 0}
-
id: 142862635
{'hecke_orbit_code': 40532396679912566, 'n': 94, 'trace_an': -1}
-
id: 142862636
{'hecke_orbit_code': 40532396679912566, 'n': 95, 'trace_an': 0}
-
id: 142862637
{'hecke_orbit_code': 40532396679912566, 'n': 96, 'trace_an': 0}
-
id: 142862638
{'hecke_orbit_code': 40532396679912566, 'n': 97, 'trace_an': 2}
-
id: 142862639
{'hecke_orbit_code': 40532396679912566, 'n': 98, 'trace_an': -18}
-
id: 142862640
{'hecke_orbit_code': 40532396679912566, 'n': 99, 'trace_an': 0}
-
id: 142862641
{'hecke_orbit_code': 40532396679912566, 'n': 100, 'trace_an': 1}