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mf_newforms • Show schema
Hide schema
{'Nk2': 109512, 'analytic_conductor': 218.61443065386143, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [13, 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': [27378, 1, [9803, 3889], [2, 2]], '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': 2, 'hecke_orbit_code': 4503599660952306, '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': '27378.2.a.b', 'level': 27378, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/27378/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27378.2.a', 'trace_display': [-1, 0, -3, 1], 'traces': [1, -1, 0, 1, -3, 0, 1, -1, 0, 3, 0, 0, 0, -1, 0, 1, -3, 0, 1, -3, 0, 0, -9, 0, 4, 0, 0, 1, -6, 0, 1, -1, 0, 3, -3, 0, -5, -1, 0, 3, -9, 0, -7, 0, 0, 9, -3, 0, -6, -4, 0, 0, -6, 0, 0, -1, 0, 6, -12, 0, -7, -1, 0, 1, 0, 0, 1, -3, 0, 3, -15, 0, -14, 5, 0, 1, 0, 0, 5, -3, 0, 9, 3, 0, 9, 7, 0, 0, 15, 0, 0, -9, 0, 3, -3, 0, 13, 6, 0, 4], 'weight': 2, 'weight_parity': 1}
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label 27378.2.a.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [76, 78, 78, 78, 83, 72, 71, 84], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [41, 42, 42, 42, 42, 42, 42, 42], 'ALdims_old': [506, 526, 524, 508, 512, 518, 524, 509], 'Nk2': 109512, 'analytic_conductor': 218.61443065386143, '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': [27378, 1, [9803, 3889], [1, 1]], 'conrey_index': 1, 'cusp_dim': 4747, 'dim': 620, 'eis_dim': 335, 'eis_new_dim': 0, 'hecke_orbit_code': 33581810, 'hecke_orbit_dims': [1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 14, 14, 14, 14, 15, 15, 15, 15, 18, 18, 18, 18, 21, 21, 21, 21], 'label': '27378.2.a', 'level': 27378, '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, 13], 'level_radical': 78, 'mf_dim': 5082, 'mf_new_dim': 620, 'num_forms': 116, 'plus_dim': 297, 'prim_orbit_index': 1, 'relative_dim': 620, 'sturm_bound': 9828, 'trace_display': [0, 0, 0, 4], 'traces': [620, 0, 0, 620, 0, 0, 4, 0, 0, -6, 0, 0, 0, 0, 0, 620, 0, 0, -2, 0, 0, -6, 0, 0, 602, 0, 0, 4, 0, 0, -8, 0, 0, -12, 0, 0, -14, 0, 0, -6, 0, 0, 22, 0, 0, -12, 0, 0, 636, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, -38, 0, 0, 620, 0, 0, -38, 0, 0, -24, 0, 0, -8, 0, 0, -2, 0, 0, 16, 0, 0, -18, 0, 0, 30, 0, 0, -6, 0, 0, 0, 0, 0, -36, 0, 0, -50, 0, 0, 602, 0, 0, -68, 0, 0, -36, 0, 0, -14, 0, 0, 4, 0, 0, 0, 0, 0, -42, 0, 0, 638, 0, 0, -8, 0, 0, 28, 0, 0, 0, 0, 0, -52, 0, 0, -12, 0, 0, -86, 0, 0, 0, 0, 0, -42, 0, 0, -14, 0, 0, 52, 0, 0, -12, 0, 0, 58, 0, 0, -6, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 52, 0, 0, 54, 0, 0, -8, 0, 0, -12, 0, 0, 18, 0, 0, -24, 0, 0, -68, 0, 0, 636, 0, 0, -20, 0, 0, -12, 0, 0, -108, 0, 0, 0, 0, 0, 16, 0, 0, -66, 0, 0, -112, 0, 0, 0, 0, 0, 28, 0, 0, 30, 0, 0, -26, 0, 0, -18, 0, 0, 96, 0, 0, -12, 0, 0, 28, 0, 0, -38, 0, 0, 0, 0, 0, -18, 0, 0, 108, 0, 0, 620, 0, 0, 32, 0, 0, 48, 0, 0, 84, 0, 0, -38, 0, 0, 136, 0, 0, 12, 0, 0, -80, 0, 0, -24, 0, 0, 136, 0, 0, 0, 0, 0, 572, 0, 0, -8, 0, 0, 120, 0, 0, -18, 0, 0, 68, 0, 0, -2, 0, 0, 58, 0, 0, 48, 0, 0, -20, 0, 0, 16, 0, 0, -84, 0, 0, 72, 0, 0, 0, 0, 0, -18, 0, 0, 208, 0, 0, 72, 0, 0, 10, 0, 0, 30, 0, 0, -112, 0, 0, -42, 0, 0, 124, 0, 0, -6, 0, 0, 144, 0, 0, 72, 0, 0, 654, 0, 0, 0, 0, 0, 64, 0, 0, 6, 0, 0, -32, 0, 0, -36, 0, 0, 190, 0, 0, 108, 0, 0, -24, 0, 0, -50, 0, 0, 204, 0, 0, -78, 0, 0, 58, 0, 0, 602, 0, 0, 0, 0, 0, 120, 0, 0, 148, 0, 0, -68, 0, 0, 192, 0, 0, 6, 0, 0, 202, 0, 0, -36, 0, 0, 224, 0, 0, 192, 0, 0, 124, 0, 0, -14, 0, 0, 112, 0, 0, 0, 0, 0, -138, 0, 0, 4, 0, 0, 138, 0, 0, 18, 0, 0, 52, 0, 0, 0, 0, 0, 232, 0, 0, -96, 0, 0, -28, 0, 0, -42, 0, 0, 58, 0, 0, 60, 0, 0, 0, 0, 0, 638, 0, 0, -92, 0, 0, -30, 0, 0, 18, 0, 0, -8, 0, 0, -50, 0, 0, 162, 0, 0, 36, 0, 0, 28, 0, 0, 140, 0, 0, -24, 0, 0, -180, 0, 0, 0, 0, 0, -56, 0, 0, 180, 0, 0, 596, 0, 0, -52, 0, 0, 120, 0, 0, -30, 0, 0, -38, 0, 0, -12, 0, 0, -218, 0, 0, -42, 0, 0, -256, 0, 0, -86, 0, 0, 0, 0, 0, 54, 0, 0, -66, 0, 0, 0, 0, 0, 166, 0, 0, 36, 0, 0, 64, 0, 0, -42, 0, 0, -144, 0, 0, 78, 0, 0, -136, 0, 0, -14, 0, 0, 168, 0, 0, 0, 0, 0, 64, 0, 0, 52, 0, 0, 112, 0, 0, 102, 0, 0, -188, 0, 0, -12, 0, 0, -290, 0, 0, 180, 0, 0, 392, 0, 0, 58, 0, 0, 16, 0, 0, 126, 0, 0, 0, 0, 0, -6, 0, 0, 22, 0, 0, 102, 0, 0, -210, 0, 0, 16, 0, 0, 96, 0, 0, 72, 0, 0, 82, 0, 0, 0, 0, 0, -96, 0, 0, 96, 0, 0, 142, 0, 0, 0, 0, 0, 164, 0, 0, 144, 0, 0, 54, 0, 0, 22, 0, 0, 232, 0, 0, 234, 0, 0, 6, 0, 0, 52, 0, 0, 224, 0, 0, 114, 0, 0, -182, 0, 0, 54, 0, 0, 0, 0, 0, 36, 0, 0, 80, 0, 0, -8, 0, 0, -92, 0, 0, -90, 0, 0, -128, 0, 0, -12, 0, 0, -434, 0, 0, 120, 0, 0, 102, 0, 0, 18, 0, 0, -80, 0, 0, 0, 0, 0, -56, 0, 0, -24, 0, 0, 224, 0, 0, 216, 0, 0, -26, 0, 0, -68, 0, 0, 232, 0, 0, -24, 0, 0, 48, 0, 0, 636, 0, 0, -32, 0, 0, 168, 0, 0, 0, 0, 0, -20, 0, 0, -324, 0, 0, -156, 0, 0, 72, 0, 0, -12, 0, 0, -110, 0, 0, 120, 0, 0, -46, 0, 0, -108, 0, 0, 112, 0, 0, -12, 0, 0, -56, 0, 0, 0, 0, 0, -48, 0, 0, -144, 0, 0, 266, 0, 0, 16, 0, 0, 64, 0, 0, -282, 0, 0, 40, 0, 0, -66, 0, 0, 94, 0, 0, 36, 0, 0, -282, 0, 0, -112, 0, 0, 0, 0, 0, -84, 0, 0, -110, 0, 0, 0, 0, 0, 106, 0, 0, 102, 0, 0, -280, 0, 0, 28, 0, 0, -96, 0, 0, -66, 0, 0, -60, 0, 0, 30, 0, 0, -62, 0, 0, 0, 0, 0, 24, 0, 0, -26, 0, 0, -236, 0, 0, 0, 0, 0, -272, 0, 0, -18, 0, 0, -330, 0, 0, 90, 0, 0, 22, 0, 0, 96, 0, 0, -12, 0, 0, 54, 0, 0, 0, 0, 0, -12, 0, 0, 288, 0, 0, 204, 0, 0, 564, 0, 0, 28, 0, 0, -284, 0, 0, -12, 0, 0, 404, 0, 0, -38, 0, 0, -108, 0, 0, 114, 0, 0, 390, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -14, 0, 0, -18], 'weight': 2, 'weight_parity': 1}
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source_label 27378.2.a.b does not appear in mf_twists_nf
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hecke_orbit_code 4503599660952306 does not appear in mf_hecke_charpolys
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label 27378.2.a.b does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 120677242
{'hecke_orbit_code': 4503599660952306, 'n': 1, 'trace_an': 1}
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id: 120677243
{'hecke_orbit_code': 4503599660952306, 'n': 2, 'trace_an': -1}
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id: 120677244
{'hecke_orbit_code': 4503599660952306, 'n': 3, 'trace_an': 0}
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id: 120677245
{'hecke_orbit_code': 4503599660952306, 'n': 4, 'trace_an': 1}
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id: 120677246
{'hecke_orbit_code': 4503599660952306, 'n': 5, 'trace_an': -3}
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id: 120677247
{'hecke_orbit_code': 4503599660952306, 'n': 6, 'trace_an': 0}
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id: 120677248
{'hecke_orbit_code': 4503599660952306, 'n': 7, 'trace_an': 1}
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id: 120677249
{'hecke_orbit_code': 4503599660952306, 'n': 8, 'trace_an': -1}
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id: 120677250
{'hecke_orbit_code': 4503599660952306, 'n': 9, 'trace_an': 0}
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id: 120677251
{'hecke_orbit_code': 4503599660952306, 'n': 10, 'trace_an': 3}
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id: 120677252
{'hecke_orbit_code': 4503599660952306, 'n': 11, 'trace_an': 0}
-
id: 120677253
{'hecke_orbit_code': 4503599660952306, 'n': 12, 'trace_an': 0}
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id: 120677254
{'hecke_orbit_code': 4503599660952306, 'n': 13, 'trace_an': 0}
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id: 120677255
{'hecke_orbit_code': 4503599660952306, 'n': 14, 'trace_an': -1}
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id: 120677256
{'hecke_orbit_code': 4503599660952306, 'n': 15, 'trace_an': 0}
-
id: 120677257
{'hecke_orbit_code': 4503599660952306, 'n': 16, 'trace_an': 1}
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id: 120677258
{'hecke_orbit_code': 4503599660952306, 'n': 17, 'trace_an': -3}
-
id: 120677259
{'hecke_orbit_code': 4503599660952306, 'n': 18, 'trace_an': 0}
-
id: 120677260
{'hecke_orbit_code': 4503599660952306, 'n': 19, 'trace_an': 1}
-
id: 120677261
{'hecke_orbit_code': 4503599660952306, 'n': 20, 'trace_an': -3}
-
id: 120677262
{'hecke_orbit_code': 4503599660952306, 'n': 21, 'trace_an': 0}
-
id: 120677263
{'hecke_orbit_code': 4503599660952306, 'n': 22, 'trace_an': 0}
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id: 120677264
{'hecke_orbit_code': 4503599660952306, 'n': 23, 'trace_an': -9}
-
id: 120677265
{'hecke_orbit_code': 4503599660952306, 'n': 24, 'trace_an': 0}
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id: 120677266
{'hecke_orbit_code': 4503599660952306, 'n': 25, 'trace_an': 4}
-
id: 120677267
{'hecke_orbit_code': 4503599660952306, 'n': 26, 'trace_an': 0}
-
id: 120677268
{'hecke_orbit_code': 4503599660952306, 'n': 27, 'trace_an': 0}
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id: 120677269
{'hecke_orbit_code': 4503599660952306, 'n': 28, 'trace_an': 1}
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id: 120677270
{'hecke_orbit_code': 4503599660952306, 'n': 29, 'trace_an': -6}
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id: 120677271
{'hecke_orbit_code': 4503599660952306, 'n': 30, 'trace_an': 0}
-
id: 120677272
{'hecke_orbit_code': 4503599660952306, 'n': 31, 'trace_an': 1}
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id: 120677273
{'hecke_orbit_code': 4503599660952306, 'n': 32, 'trace_an': -1}
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id: 120677274
{'hecke_orbit_code': 4503599660952306, 'n': 33, 'trace_an': 0}
-
id: 120677275
{'hecke_orbit_code': 4503599660952306, 'n': 34, 'trace_an': 3}
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id: 120677276
{'hecke_orbit_code': 4503599660952306, 'n': 35, 'trace_an': -3}
-
id: 120677277
{'hecke_orbit_code': 4503599660952306, 'n': 36, 'trace_an': 0}
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id: 120677278
{'hecke_orbit_code': 4503599660952306, 'n': 37, 'trace_an': -5}
-
id: 120677279
{'hecke_orbit_code': 4503599660952306, 'n': 38, 'trace_an': -1}
-
id: 120677280
{'hecke_orbit_code': 4503599660952306, 'n': 39, 'trace_an': 0}
-
id: 120677281
{'hecke_orbit_code': 4503599660952306, 'n': 40, 'trace_an': 3}
-
id: 120677282
{'hecke_orbit_code': 4503599660952306, 'n': 41, 'trace_an': -9}
-
id: 120677283
{'hecke_orbit_code': 4503599660952306, 'n': 42, 'trace_an': 0}
-
id: 120677284
{'hecke_orbit_code': 4503599660952306, 'n': 43, 'trace_an': -7}
-
id: 120677285
{'hecke_orbit_code': 4503599660952306, 'n': 44, 'trace_an': 0}
-
id: 120677286
{'hecke_orbit_code': 4503599660952306, 'n': 45, 'trace_an': 0}
-
id: 120677287
{'hecke_orbit_code': 4503599660952306, 'n': 46, 'trace_an': 9}
-
id: 120677288
{'hecke_orbit_code': 4503599660952306, 'n': 47, 'trace_an': -3}
-
id: 120677289
{'hecke_orbit_code': 4503599660952306, 'n': 48, 'trace_an': 0}
-
id: 120677290
{'hecke_orbit_code': 4503599660952306, 'n': 49, 'trace_an': -6}
-
id: 120677291
{'hecke_orbit_code': 4503599660952306, 'n': 50, 'trace_an': -4}
-
id: 120677292
{'hecke_orbit_code': 4503599660952306, 'n': 51, 'trace_an': 0}
-
id: 120677293
{'hecke_orbit_code': 4503599660952306, 'n': 52, 'trace_an': 0}
-
id: 120677294
{'hecke_orbit_code': 4503599660952306, 'n': 53, 'trace_an': -6}
-
id: 120677295
{'hecke_orbit_code': 4503599660952306, 'n': 54, 'trace_an': 0}
-
id: 120677296
{'hecke_orbit_code': 4503599660952306, 'n': 55, 'trace_an': 0}
-
id: 120677297
{'hecke_orbit_code': 4503599660952306, 'n': 56, 'trace_an': -1}
-
id: 120677298
{'hecke_orbit_code': 4503599660952306, 'n': 57, 'trace_an': 0}
-
id: 120677299
{'hecke_orbit_code': 4503599660952306, 'n': 58, 'trace_an': 6}
-
id: 120677300
{'hecke_orbit_code': 4503599660952306, 'n': 59, 'trace_an': -12}
-
id: 120677301
{'hecke_orbit_code': 4503599660952306, 'n': 60, 'trace_an': 0}
-
id: 120677302
{'hecke_orbit_code': 4503599660952306, 'n': 61, 'trace_an': -7}
-
id: 120677303
{'hecke_orbit_code': 4503599660952306, 'n': 62, 'trace_an': -1}
-
id: 120677304
{'hecke_orbit_code': 4503599660952306, 'n': 63, 'trace_an': 0}
-
id: 120677305
{'hecke_orbit_code': 4503599660952306, 'n': 64, 'trace_an': 1}
-
id: 120677306
{'hecke_orbit_code': 4503599660952306, 'n': 65, 'trace_an': 0}
-
id: 120677307
{'hecke_orbit_code': 4503599660952306, 'n': 66, 'trace_an': 0}
-
id: 120677308
{'hecke_orbit_code': 4503599660952306, 'n': 67, 'trace_an': 1}
-
id: 120677309
{'hecke_orbit_code': 4503599660952306, 'n': 68, 'trace_an': -3}
-
id: 120677310
{'hecke_orbit_code': 4503599660952306, 'n': 69, 'trace_an': 0}
-
id: 120677311
{'hecke_orbit_code': 4503599660952306, 'n': 70, 'trace_an': 3}
-
id: 120677312
{'hecke_orbit_code': 4503599660952306, 'n': 71, 'trace_an': -15}
-
id: 120677313
{'hecke_orbit_code': 4503599660952306, 'n': 72, 'trace_an': 0}
-
id: 120677314
{'hecke_orbit_code': 4503599660952306, 'n': 73, 'trace_an': -14}
-
id: 120677315
{'hecke_orbit_code': 4503599660952306, 'n': 74, 'trace_an': 5}
-
id: 120677316
{'hecke_orbit_code': 4503599660952306, 'n': 75, 'trace_an': 0}
-
id: 120677317
{'hecke_orbit_code': 4503599660952306, 'n': 76, 'trace_an': 1}
-
id: 120677318
{'hecke_orbit_code': 4503599660952306, 'n': 77, 'trace_an': 0}
-
id: 120677319
{'hecke_orbit_code': 4503599660952306, 'n': 78, 'trace_an': 0}
-
id: 120677320
{'hecke_orbit_code': 4503599660952306, 'n': 79, 'trace_an': 5}
-
id: 120677321
{'hecke_orbit_code': 4503599660952306, 'n': 80, 'trace_an': -3}
-
id: 120677322
{'hecke_orbit_code': 4503599660952306, 'n': 81, 'trace_an': 0}
-
id: 120677323
{'hecke_orbit_code': 4503599660952306, 'n': 82, 'trace_an': 9}
-
id: 120677324
{'hecke_orbit_code': 4503599660952306, 'n': 83, 'trace_an': 3}
-
id: 120677325
{'hecke_orbit_code': 4503599660952306, 'n': 84, 'trace_an': 0}
-
id: 120677326
{'hecke_orbit_code': 4503599660952306, 'n': 85, 'trace_an': 9}
-
id: 120677327
{'hecke_orbit_code': 4503599660952306, 'n': 86, 'trace_an': 7}
-
id: 120677328
{'hecke_orbit_code': 4503599660952306, 'n': 87, 'trace_an': 0}
-
id: 120677329
{'hecke_orbit_code': 4503599660952306, 'n': 88, 'trace_an': 0}
-
id: 120677330
{'hecke_orbit_code': 4503599660952306, 'n': 89, 'trace_an': 15}
-
id: 120677331
{'hecke_orbit_code': 4503599660952306, 'n': 90, 'trace_an': 0}
-
id: 120677332
{'hecke_orbit_code': 4503599660952306, 'n': 91, 'trace_an': 0}
-
id: 120677333
{'hecke_orbit_code': 4503599660952306, 'n': 92, 'trace_an': -9}
-
id: 120677334
{'hecke_orbit_code': 4503599660952306, 'n': 93, 'trace_an': 0}
-
id: 120677335
{'hecke_orbit_code': 4503599660952306, 'n': 94, 'trace_an': 3}
-
id: 120677336
{'hecke_orbit_code': 4503599660952306, 'n': 95, 'trace_an': -3}
-
id: 120677337
{'hecke_orbit_code': 4503599660952306, 'n': 96, 'trace_an': 0}
-
id: 120677338
{'hecke_orbit_code': 4503599660952306, 'n': 97, 'trace_an': 13}
-
id: 120677339
{'hecke_orbit_code': 4503599660952306, 'n': 98, 'trace_an': 6}
-
id: 120677340
{'hecke_orbit_code': 4503599660952306, 'n': 99, 'trace_an': 0}
-
id: 120677341
{'hecke_orbit_code': 4503599660952306, 'n': 100, 'trace_an': 4}