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mf_newforms • Show schema
Hide schema
{'Nk2': 117216, 'analytic_conductor': 233.99361808316004, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [11, 1], [37, -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': [29304, 1, [7327, 14653, 13025, 15985, 3961], [8, 8, 8, 8, 8]], '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': 8, 'hecke_orbit_code': 31525197425177208, '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': '29304.2.a.h', 'level': 29304, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11, 37], 'level_radical': 2442, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{5}+4q^{7}-q^{11}+6q^{19}-8q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/29304/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '29304.2.a', 'trace_display': [0, 0, -2, 4], 'traces': [1, 0, 0, 0, -2, 0, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -8, 0, -1, 0, 0, 0, -8, 0, 4, 0, 0, 0, -8, 0, 1, 0, 0, 0, 10, 0, 10, 0, 0, 0, -8, 0, 9, 0, 0, 0, 14, 0, 2, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -12, 0, 0, 0, 16, 0, -14, 0, 0, 0, -4, 0, -14, 0, 0, 0, 12, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -12, 0, -2, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 29304.2.a.h does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [22, 24, 24, 20, 34, 33, 33, 35, 24, 20, 22, 24, 33, 35, 34, 33], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [295, 340, 330, 306, 309, 304, 304, 308, 308, 328, 336, 298, 304, 308, 309, 304], 'Nk2': 117216, 'analytic_conductor': 233.99361808316004, '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': [29304, 1, [7327, 14653, 13025, 15985, 3961], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5441, 'dim': 450, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_orbit_code': 33583736, '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, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 19, 19, 20, 20, 23, 23, 24, 24], 'label': '29304.2.a', 'level': 29304, '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, 11, 37], 'level_radical': 2442, 'mf_dim': 5504, 'mf_new_dim': 450, 'num_forms': 66, 'plus_dim': 216, 'prim_orbit_index': 1, 'relative_dim': 450, 'sturm_bound': 10944, 'trace_display': [0, 0, 4, 0], 'traces': [450, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 450, 0, 0, 0, -24, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 16, 0, 0, 0, -4, 0, 426, 0, 0, 0, -4, 0, 0, 0, 0, 0, -36, 0, -24, 0, 0, 0, -48, 0, 32, 0, 0, 0, -4, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 32, 0, 0, 0, 12, 0, 40, 0, 0, 0, -8, 0, 20, 0, 0, 0, -44, 0, -4, 0, 0, 0, 32, 0, -8, 0, 0, 0, 12, 0, 16, 0, 0, 0, 0, 0, 450, 0, 0, 0, 72, 0, 0, 0, 0, 0, -32, 0, 8, 0, 0, 0, -56, 0, -16, 0, 0, 0, -4, 0, -24, 0, 0, 0, 36, 0, -48, 0, 0, 0, 80, 0, 28, 0, 0, 0, 8, 0, -4, 0, 0, 0, -16, 0, 446, 0, 0, 0, 12, 0, -88, 0, 0, 0, -20, 0, 100, 0, 0, 0, 16, 0, 28, 0, 0, 0, 12, 0, -16, 0, 0, 0, -20, 0, 4, 0, 0, 0, -152, 0, 72, 0, 0, 0, 32, 0, -24, 0, 0, 0, -200, 0, -48, 0, 0, 0, 32, 0, -4, 0, 0, 0, 64, 0, 100, 0, 0, 0, -20, 0, 72, 0, 0, 0, -72, 0, -24, 0, 0, 0, -28, 0, -48, 0, 0, 0, -20, 0, -4, 0, 0, 0, 68, 0, 0, 0, 0, 0, 64, 0, -16, 0, 0, 0, 20, 0, 32, 0, 0, 0, -16, 0, -64, 0, 0, 0, -24, 0, -72, 0, 0, 0, -80, 0, 394, 0, 0, 0, 44, 0, -120, 0, 0, 0, 88, 0, -96, 0, 0, 0, -104, 0, -112, 0, 0, 0, 28, 0, -4, 0, 0, 0, -132, 0, -4, 0, 0, 0, -184, 0, -16, 0, 0, 0, -16, 0, 28, 0, 0, 0, 120, 0, -4, 0, 0, 0, 28, 0, -144, 0, 0, 0, -40, 0, 52, 0, 0, 0, 108, 0, -232, 0, 0, 0, 240, 0, 506, 0, 0, 0, -160, 0, 68, 0, 0, 0, 160, 0, 140, 0, 0, 0, 96, 0, -24, 0, 0, 0, -28, 0, -56, 0, 0, 0, 228, 0, 24, 0, 0, 0, -128, 0, -108, 0, 0, 0, 44, 0, -200, 0, 0, 0, 0, 0, -8, 0, 0, 0, 112, 0, 96, 0, 0, 0, 40, 0, -124, 0, 0, 0, 48, 0, -56, 0, 0, 0, 240, 0, 8, 0, 0, 0, -16, 0, -120, 0, 0, 0, 0, 0, -72, 0, 0, 0, 76, 0, 0, 0, 0, 0, 24, 0, -104, 0, 0, 0, -224, 0, 44, 0, 0, 0, -180, 0, 112, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, -76, 0, 0, 0, 72, 0, 80, 0, 0, 0, 16, 0, 132, 0, 0, 0, -144, 0, 200, 0, 0, 0, -68, 0, 120, 0, 0, 0, 24, 0, 0, 0, 0, 0, -40, 0, -56, 0, 0, 0, 16, 0, 626, 0, 0, 0, 136, 0, 208, 0, 0, 0, 0, 0, 120, 0, 0, 0, 104, 0, 88, 0, 0, 0, 48, 0, 320, 0, 0, 0, 32, 0, 128, 0, 0, 0, 32, 0, -40, 0, 0, 0, 88, 0, 24, 0, 0, 0, -140, 0, 116, 0, 0, 0, -232, 0, 16, 0, 0, 0, -52, 0, 136, 0, 0, 0, -132, 0, 32, 0, 0, 0, -4, 0, 84, 0, 0, 0, 4, 0, 8, 0, 0, 0, -160, 0, 204, 0, 0, 0, 56, 0, -72, 0, 0, 0, 80, 0, 626, 0, 0, 0, 0, 0, 252, 0, 0, 0, -216, 0, -80, 0, 0, 0, 80, 0, 68, 0, 0, 0, 52, 0, -4, 0, 0, 0, 68, 0, -48, 0, 0, 0, -48, 0, -84, 0, 0, 0, -112, 0, -24, 0, 0, 0, -4, 0, 372, 0, 0, 0, -116, 0, 264, 0, 0, 0, -4, 0, -64, 0, 0, 0, 112, 0, -80, 0, 0, 0, 312, 0, -120, 0, 0, 0, 8, 0, 0, 0, 0, 0, 16, 0, 132, 0, 0, 0, 96, 0, -32, 0, 0, 0, -188, 0, -48, 0, 0, 0, -248, 0, 196, 0, 0, 0, -88, 0, -60, 0, 0, 0, 40, 0, -160, 0, 0, 0, 64, 0, 272, 0, 0, 0, -192, 0, -100, 0, 0, 0, 88, 0, 148, 0, 0, 0, -220, 0, 136, 0, 0, 0, 256, 0, 392, 0, 0, 0, 12, 0, -172, 0, 0, 0, -112, 0, -48, 0, 0, 0, 144, 0, 168, 0, 0, 0, -176, 0, 88, 0, 0, 0, -164, 0, -16, 0, 0, 0, 0, 0, -104, 0, 0, 0, -136, 0, -72, 0, 0, 0, -196, 0, -24, 0, 0, 0, -84, 0, -136, 0, 0, 0, -152, 0, -52, 0, 0, 0, 256, 0, -120, 0, 0, 0, 152, 0, 534, 0, 0, 0, -188, 0, 0, 0, 0, 0, -60, 0, 72, 0, 0, 0, 128, 0, 116, 0, 0, 0, 376, 0, 48, 0, 0, 0, 40, 0, -80, 0, 0, 0, 88, 0, -140, 0, 0, 0, 248, 0, 4, 0, 0, 0, -64, 0, 176, 0, 0, 0, -216, 0, 244, 0, 0, 0, 232, 0, -296, 0, 0, 0, -72, 0, 252, 0, 0, 0, 60, 0, 44, 0, 0, 0, -40, 0, 344, 0, 0, 0, -56, 0, -14, 0, 0, 0, 144, 0, 576, 0, 0, 0, -12, 0, 132, 0, 0, 0, -84, 0, -128, 0, 0, 0, -4, 0, 136, 0, 0, 0, -12, 0, -176, 0, 0, 0, 80, 0, 594, 0, 0, 0, -120, 0, -216, 0, 0, 0, 152, 0, 104, 0, 0, 0, 268, 0, 48, 0, 0, 0, 280, 0, -168, 0, 0, 0, 48, 0, -36, 0, 0, 0, -216, 0, -136, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 29304.2.a.h does not appear in mf_twists_nf
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hecke_orbit_code 31525197425177208 does not appear in mf_hecke_charpolys
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label 29304.2.a.h does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 138820442
{'hecke_orbit_code': 31525197425177208, 'n': 1, 'trace_an': 1}
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id: 138820443
{'hecke_orbit_code': 31525197425177208, 'n': 2, 'trace_an': 0}
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id: 138820444
{'hecke_orbit_code': 31525197425177208, 'n': 3, 'trace_an': 0}
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id: 138820445
{'hecke_orbit_code': 31525197425177208, 'n': 4, 'trace_an': 0}
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id: 138820446
{'hecke_orbit_code': 31525197425177208, 'n': 5, 'trace_an': -2}
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id: 138820447
{'hecke_orbit_code': 31525197425177208, 'n': 6, 'trace_an': 0}
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id: 138820448
{'hecke_orbit_code': 31525197425177208, 'n': 7, 'trace_an': 4}
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id: 138820449
{'hecke_orbit_code': 31525197425177208, 'n': 8, 'trace_an': 0}
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id: 138820450
{'hecke_orbit_code': 31525197425177208, 'n': 9, 'trace_an': 0}
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id: 138820451
{'hecke_orbit_code': 31525197425177208, 'n': 10, 'trace_an': 0}
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id: 138820452
{'hecke_orbit_code': 31525197425177208, 'n': 11, 'trace_an': -1}
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id: 138820453
{'hecke_orbit_code': 31525197425177208, 'n': 12, 'trace_an': 0}
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id: 138820454
{'hecke_orbit_code': 31525197425177208, 'n': 13, 'trace_an': 0}
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id: 138820455
{'hecke_orbit_code': 31525197425177208, 'n': 14, 'trace_an': 0}
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id: 138820456
{'hecke_orbit_code': 31525197425177208, 'n': 15, 'trace_an': 0}
-
id: 138820457
{'hecke_orbit_code': 31525197425177208, 'n': 16, 'trace_an': 0}
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id: 138820458
{'hecke_orbit_code': 31525197425177208, 'n': 17, 'trace_an': 0}
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id: 138820459
{'hecke_orbit_code': 31525197425177208, 'n': 18, 'trace_an': 0}
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id: 138820460
{'hecke_orbit_code': 31525197425177208, 'n': 19, 'trace_an': 6}
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id: 138820461
{'hecke_orbit_code': 31525197425177208, 'n': 20, 'trace_an': 0}
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id: 138820462
{'hecke_orbit_code': 31525197425177208, 'n': 21, 'trace_an': 0}
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id: 138820463
{'hecke_orbit_code': 31525197425177208, 'n': 22, 'trace_an': 0}
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id: 138820464
{'hecke_orbit_code': 31525197425177208, 'n': 23, 'trace_an': -8}
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id: 138820465
{'hecke_orbit_code': 31525197425177208, 'n': 24, 'trace_an': 0}
-
id: 138820466
{'hecke_orbit_code': 31525197425177208, 'n': 25, 'trace_an': -1}
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id: 138820467
{'hecke_orbit_code': 31525197425177208, 'n': 26, 'trace_an': 0}
-
id: 138820468
{'hecke_orbit_code': 31525197425177208, 'n': 27, 'trace_an': 0}
-
id: 138820469
{'hecke_orbit_code': 31525197425177208, 'n': 28, 'trace_an': 0}
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id: 138820470
{'hecke_orbit_code': 31525197425177208, 'n': 29, 'trace_an': -8}
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id: 138820471
{'hecke_orbit_code': 31525197425177208, 'n': 30, 'trace_an': 0}
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id: 138820472
{'hecke_orbit_code': 31525197425177208, 'n': 31, 'trace_an': 4}
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id: 138820473
{'hecke_orbit_code': 31525197425177208, 'n': 32, 'trace_an': 0}
-
id: 138820474
{'hecke_orbit_code': 31525197425177208, 'n': 33, 'trace_an': 0}
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id: 138820475
{'hecke_orbit_code': 31525197425177208, 'n': 34, 'trace_an': 0}
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id: 138820476
{'hecke_orbit_code': 31525197425177208, 'n': 35, 'trace_an': -8}
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id: 138820477
{'hecke_orbit_code': 31525197425177208, 'n': 36, 'trace_an': 0}
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id: 138820478
{'hecke_orbit_code': 31525197425177208, 'n': 37, 'trace_an': 1}
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id: 138820479
{'hecke_orbit_code': 31525197425177208, 'n': 38, 'trace_an': 0}
-
id: 138820480
{'hecke_orbit_code': 31525197425177208, 'n': 39, 'trace_an': 0}
-
id: 138820481
{'hecke_orbit_code': 31525197425177208, 'n': 40, 'trace_an': 0}
-
id: 138820482
{'hecke_orbit_code': 31525197425177208, 'n': 41, 'trace_an': 10}
-
id: 138820483
{'hecke_orbit_code': 31525197425177208, 'n': 42, 'trace_an': 0}
-
id: 138820484
{'hecke_orbit_code': 31525197425177208, 'n': 43, 'trace_an': 10}
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id: 138820485
{'hecke_orbit_code': 31525197425177208, 'n': 44, 'trace_an': 0}
-
id: 138820486
{'hecke_orbit_code': 31525197425177208, 'n': 45, 'trace_an': 0}
-
id: 138820487
{'hecke_orbit_code': 31525197425177208, 'n': 46, 'trace_an': 0}
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id: 138820488
{'hecke_orbit_code': 31525197425177208, 'n': 47, 'trace_an': -8}
-
id: 138820489
{'hecke_orbit_code': 31525197425177208, 'n': 48, 'trace_an': 0}
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id: 138820490
{'hecke_orbit_code': 31525197425177208, 'n': 49, 'trace_an': 9}
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id: 138820491
{'hecke_orbit_code': 31525197425177208, 'n': 50, 'trace_an': 0}
-
id: 138820492
{'hecke_orbit_code': 31525197425177208, 'n': 51, 'trace_an': 0}
-
id: 138820493
{'hecke_orbit_code': 31525197425177208, 'n': 52, 'trace_an': 0}
-
id: 138820494
{'hecke_orbit_code': 31525197425177208, 'n': 53, 'trace_an': 14}
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id: 138820495
{'hecke_orbit_code': 31525197425177208, 'n': 54, 'trace_an': 0}
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id: 138820496
{'hecke_orbit_code': 31525197425177208, 'n': 55, 'trace_an': 2}
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id: 138820497
{'hecke_orbit_code': 31525197425177208, 'n': 56, 'trace_an': 0}
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id: 138820498
{'hecke_orbit_code': 31525197425177208, 'n': 57, 'trace_an': 0}
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id: 138820499
{'hecke_orbit_code': 31525197425177208, 'n': 58, 'trace_an': 0}
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id: 138820500
{'hecke_orbit_code': 31525197425177208, 'n': 59, 'trace_an': 0}
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id: 138820501
{'hecke_orbit_code': 31525197425177208, 'n': 60, 'trace_an': 0}
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id: 138820502
{'hecke_orbit_code': 31525197425177208, 'n': 61, 'trace_an': -8}
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id: 138820503
{'hecke_orbit_code': 31525197425177208, 'n': 62, 'trace_an': 0}
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id: 138820504
{'hecke_orbit_code': 31525197425177208, 'n': 63, 'trace_an': 0}
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id: 138820505
{'hecke_orbit_code': 31525197425177208, 'n': 64, 'trace_an': 0}
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id: 138820506
{'hecke_orbit_code': 31525197425177208, 'n': 65, 'trace_an': 0}
-
id: 138820507
{'hecke_orbit_code': 31525197425177208, 'n': 66, 'trace_an': 0}
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id: 138820508
{'hecke_orbit_code': 31525197425177208, 'n': 67, 'trace_an': -12}
-
id: 138820509
{'hecke_orbit_code': 31525197425177208, 'n': 68, 'trace_an': 0}
-
id: 138820510
{'hecke_orbit_code': 31525197425177208, 'n': 69, 'trace_an': 0}
-
id: 138820511
{'hecke_orbit_code': 31525197425177208, 'n': 70, 'trace_an': 0}
-
id: 138820512
{'hecke_orbit_code': 31525197425177208, 'n': 71, 'trace_an': 16}
-
id: 138820513
{'hecke_orbit_code': 31525197425177208, 'n': 72, 'trace_an': 0}
-
id: 138820514
{'hecke_orbit_code': 31525197425177208, 'n': 73, 'trace_an': -14}
-
id: 138820515
{'hecke_orbit_code': 31525197425177208, 'n': 74, 'trace_an': 0}
-
id: 138820516
{'hecke_orbit_code': 31525197425177208, 'n': 75, 'trace_an': 0}
-
id: 138820517
{'hecke_orbit_code': 31525197425177208, 'n': 76, 'trace_an': 0}
-
id: 138820518
{'hecke_orbit_code': 31525197425177208, 'n': 77, 'trace_an': -4}
-
id: 138820519
{'hecke_orbit_code': 31525197425177208, 'n': 78, 'trace_an': 0}
-
id: 138820520
{'hecke_orbit_code': 31525197425177208, 'n': 79, 'trace_an': -14}
-
id: 138820521
{'hecke_orbit_code': 31525197425177208, 'n': 80, 'trace_an': 0}
-
id: 138820522
{'hecke_orbit_code': 31525197425177208, 'n': 81, 'trace_an': 0}
-
id: 138820523
{'hecke_orbit_code': 31525197425177208, 'n': 82, 'trace_an': 0}
-
id: 138820524
{'hecke_orbit_code': 31525197425177208, 'n': 83, 'trace_an': 12}
-
id: 138820525
{'hecke_orbit_code': 31525197425177208, 'n': 84, 'trace_an': 0}
-
id: 138820526
{'hecke_orbit_code': 31525197425177208, 'n': 85, 'trace_an': 0}
-
id: 138820527
{'hecke_orbit_code': 31525197425177208, 'n': 86, 'trace_an': 0}
-
id: 138820528
{'hecke_orbit_code': 31525197425177208, 'n': 87, 'trace_an': 0}
-
id: 138820529
{'hecke_orbit_code': 31525197425177208, 'n': 88, 'trace_an': 0}
-
id: 138820530
{'hecke_orbit_code': 31525197425177208, 'n': 89, 'trace_an': -2}
-
id: 138820531
{'hecke_orbit_code': 31525197425177208, 'n': 90, 'trace_an': 0}
-
id: 138820532
{'hecke_orbit_code': 31525197425177208, 'n': 91, 'trace_an': 0}
-
id: 138820533
{'hecke_orbit_code': 31525197425177208, 'n': 92, 'trace_an': 0}
-
id: 138820534
{'hecke_orbit_code': 31525197425177208, 'n': 93, 'trace_an': 0}
-
id: 138820535
{'hecke_orbit_code': 31525197425177208, 'n': 94, 'trace_an': 0}
-
id: 138820536
{'hecke_orbit_code': 31525197425177208, 'n': 95, 'trace_an': -12}
-
id: 138820537
{'hecke_orbit_code': 31525197425177208, 'n': 96, 'trace_an': 0}
-
id: 138820538
{'hecke_orbit_code': 31525197425177208, 'n': 97, 'trace_an': -2}
-
id: 138820539
{'hecke_orbit_code': 31525197425177208, 'n': 98, 'trace_an': 0}
-
id: 138820540
{'hecke_orbit_code': 31525197425177208, 'n': 99, 'trace_an': 0}
-
id: 138820541
{'hecke_orbit_code': 31525197425177208, 'n': 100, 'trace_an': 0}