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mf_newforms • Show schema
Hide schema
{'Nk2': 104544, 'analytic_conductor': 208.69701072281842, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [11, -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': [26136, 1, [6535, 13069, 19361, 23113], [9, 9, 9, 9]], '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': 9, 'hecke_orbit_code': 36028797052544536, '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': '26136.2.a.i', 'level': 26136, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{5}-3q^{7}-5q^{13}-4q^{23}-q^{25}+\\cdots', 'related_objects': ['EllipticCurve/Q/26136/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '26136.2.a', 'trace_display': [0, 0, -2, -3], 'traces': [1, 0, 0, 0, -2, 0, -3, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -1, 0, 0, 0, 2, 0, 3, 0, 0, 0, 6, 0, 2, 0, 0, 0, -6, 0, -4, 0, 0, 0, -2, 0, 2, 0, 0, 0, -12, 0, 0, 0, 0, 0, -6, 0, -2, 0, 0, 0, 10, 0, -11, 0, 0, 0, -6, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -6, 0, 0, 0, 0, 0, 2, 0, 15, 0, 0, 0, 0, 0, -11, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 26136.2.a.i does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [55, 55, 53, 55, 59, 50, 49, 60], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [35, 36, 36, 36, 36, 36, 36, 36], 'ALdims_old': [510, 529, 529, 517, 529, 518, 521, 520], 'Nk2': 104544, 'analytic_conductor': 208.69701072281842, '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': [26136, 1, [6535, 13069, 19361, 23113], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4609, 'dim': 436, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33580568, '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, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 14, 14, 14, 14], 'label': '26136.2.a', 'level': 26136, 'level_is_powerful': True, '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], 'level_radical': 66, 'mf_dim': 4896, 'mf_new_dim': 436, 'num_forms': 110, 'plus_dim': 209, 'prim_orbit_index': 1, 'relative_dim': 436, 'sturm_bound': 9504, 'trace_display': [0, 0, 0, 4], 'traces': [436, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 442, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 422, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 428, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 502, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 454, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 236, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, 174, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 158, 0, 0, 0, 0, 0, 556, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, -250, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -158, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 496, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 244, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 202, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -190, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, -290, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -236, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 724, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, 170, 0, 0, 0, 0, 0, -446, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, 130, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -454, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 370, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -180, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 26136.2.a.i does not appear in mf_twists_nf
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hecke_orbit_code 36028797052544536 does not appear in mf_hecke_charpolys
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label 26136.2.a.i does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 140912242
{'hecke_orbit_code': 36028797052544536, 'n': 1, 'trace_an': 1}
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id: 140912243
{'hecke_orbit_code': 36028797052544536, 'n': 2, 'trace_an': 0}
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id: 140912244
{'hecke_orbit_code': 36028797052544536, 'n': 3, 'trace_an': 0}
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id: 140912245
{'hecke_orbit_code': 36028797052544536, 'n': 4, 'trace_an': 0}
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id: 140912246
{'hecke_orbit_code': 36028797052544536, 'n': 5, 'trace_an': -2}
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id: 140912247
{'hecke_orbit_code': 36028797052544536, 'n': 6, 'trace_an': 0}
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id: 140912248
{'hecke_orbit_code': 36028797052544536, 'n': 7, 'trace_an': -3}
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id: 140912249
{'hecke_orbit_code': 36028797052544536, 'n': 8, 'trace_an': 0}
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id: 140912250
{'hecke_orbit_code': 36028797052544536, 'n': 9, 'trace_an': 0}
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id: 140912251
{'hecke_orbit_code': 36028797052544536, 'n': 10, 'trace_an': 0}
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id: 140912252
{'hecke_orbit_code': 36028797052544536, 'n': 11, 'trace_an': 0}
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id: 140912253
{'hecke_orbit_code': 36028797052544536, 'n': 12, 'trace_an': 0}
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id: 140912254
{'hecke_orbit_code': 36028797052544536, 'n': 13, 'trace_an': -5}
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id: 140912255
{'hecke_orbit_code': 36028797052544536, 'n': 14, 'trace_an': 0}
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id: 140912256
{'hecke_orbit_code': 36028797052544536, 'n': 15, 'trace_an': 0}
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id: 140912257
{'hecke_orbit_code': 36028797052544536, 'n': 16, 'trace_an': 0}
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id: 140912258
{'hecke_orbit_code': 36028797052544536, 'n': 17, 'trace_an': 0}
-
id: 140912259
{'hecke_orbit_code': 36028797052544536, 'n': 18, 'trace_an': 0}
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id: 140912260
{'hecke_orbit_code': 36028797052544536, 'n': 19, 'trace_an': 0}
-
id: 140912261
{'hecke_orbit_code': 36028797052544536, 'n': 20, 'trace_an': 0}
-
id: 140912262
{'hecke_orbit_code': 36028797052544536, 'n': 21, 'trace_an': 0}
-
id: 140912263
{'hecke_orbit_code': 36028797052544536, 'n': 22, 'trace_an': 0}
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id: 140912264
{'hecke_orbit_code': 36028797052544536, 'n': 23, 'trace_an': -4}
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id: 140912265
{'hecke_orbit_code': 36028797052544536, 'n': 24, 'trace_an': 0}
-
id: 140912266
{'hecke_orbit_code': 36028797052544536, 'n': 25, 'trace_an': -1}
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id: 140912267
{'hecke_orbit_code': 36028797052544536, 'n': 26, 'trace_an': 0}
-
id: 140912268
{'hecke_orbit_code': 36028797052544536, 'n': 27, 'trace_an': 0}
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id: 140912269
{'hecke_orbit_code': 36028797052544536, 'n': 28, 'trace_an': 0}
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id: 140912270
{'hecke_orbit_code': 36028797052544536, 'n': 29, 'trace_an': 2}
-
id: 140912271
{'hecke_orbit_code': 36028797052544536, 'n': 30, 'trace_an': 0}
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id: 140912272
{'hecke_orbit_code': 36028797052544536, 'n': 31, 'trace_an': 3}
-
id: 140912273
{'hecke_orbit_code': 36028797052544536, 'n': 32, 'trace_an': 0}
-
id: 140912274
{'hecke_orbit_code': 36028797052544536, 'n': 33, 'trace_an': 0}
-
id: 140912275
{'hecke_orbit_code': 36028797052544536, 'n': 34, 'trace_an': 0}
-
id: 140912276
{'hecke_orbit_code': 36028797052544536, 'n': 35, 'trace_an': 6}
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id: 140912277
{'hecke_orbit_code': 36028797052544536, 'n': 36, 'trace_an': 0}
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id: 140912278
{'hecke_orbit_code': 36028797052544536, 'n': 37, 'trace_an': 2}
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id: 140912279
{'hecke_orbit_code': 36028797052544536, 'n': 38, 'trace_an': 0}
-
id: 140912280
{'hecke_orbit_code': 36028797052544536, 'n': 39, 'trace_an': 0}
-
id: 140912281
{'hecke_orbit_code': 36028797052544536, 'n': 40, 'trace_an': 0}
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id: 140912282
{'hecke_orbit_code': 36028797052544536, 'n': 41, 'trace_an': -6}
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id: 140912283
{'hecke_orbit_code': 36028797052544536, 'n': 42, 'trace_an': 0}
-
id: 140912284
{'hecke_orbit_code': 36028797052544536, 'n': 43, 'trace_an': -4}
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id: 140912285
{'hecke_orbit_code': 36028797052544536, 'n': 44, 'trace_an': 0}
-
id: 140912286
{'hecke_orbit_code': 36028797052544536, 'n': 45, 'trace_an': 0}
-
id: 140912287
{'hecke_orbit_code': 36028797052544536, 'n': 46, 'trace_an': 0}
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id: 140912288
{'hecke_orbit_code': 36028797052544536, 'n': 47, 'trace_an': -2}
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id: 140912289
{'hecke_orbit_code': 36028797052544536, 'n': 48, 'trace_an': 0}
-
id: 140912290
{'hecke_orbit_code': 36028797052544536, 'n': 49, 'trace_an': 2}
-
id: 140912291
{'hecke_orbit_code': 36028797052544536, 'n': 50, 'trace_an': 0}
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id: 140912292
{'hecke_orbit_code': 36028797052544536, 'n': 51, 'trace_an': 0}
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id: 140912293
{'hecke_orbit_code': 36028797052544536, 'n': 52, 'trace_an': 0}
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id: 140912294
{'hecke_orbit_code': 36028797052544536, 'n': 53, 'trace_an': -12}
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id: 140912295
{'hecke_orbit_code': 36028797052544536, 'n': 54, 'trace_an': 0}
-
id: 140912296
{'hecke_orbit_code': 36028797052544536, 'n': 55, 'trace_an': 0}
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id: 140912297
{'hecke_orbit_code': 36028797052544536, 'n': 56, 'trace_an': 0}
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id: 140912298
{'hecke_orbit_code': 36028797052544536, 'n': 57, 'trace_an': 0}
-
id: 140912299
{'hecke_orbit_code': 36028797052544536, 'n': 58, 'trace_an': 0}
-
id: 140912300
{'hecke_orbit_code': 36028797052544536, 'n': 59, 'trace_an': -6}
-
id: 140912301
{'hecke_orbit_code': 36028797052544536, 'n': 60, 'trace_an': 0}
-
id: 140912302
{'hecke_orbit_code': 36028797052544536, 'n': 61, 'trace_an': -2}
-
id: 140912303
{'hecke_orbit_code': 36028797052544536, 'n': 62, 'trace_an': 0}
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id: 140912304
{'hecke_orbit_code': 36028797052544536, 'n': 63, 'trace_an': 0}
-
id: 140912305
{'hecke_orbit_code': 36028797052544536, 'n': 64, 'trace_an': 0}
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id: 140912306
{'hecke_orbit_code': 36028797052544536, 'n': 65, 'trace_an': 10}
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id: 140912307
{'hecke_orbit_code': 36028797052544536, 'n': 66, 'trace_an': 0}
-
id: 140912308
{'hecke_orbit_code': 36028797052544536, 'n': 67, 'trace_an': -11}
-
id: 140912309
{'hecke_orbit_code': 36028797052544536, 'n': 68, 'trace_an': 0}
-
id: 140912310
{'hecke_orbit_code': 36028797052544536, 'n': 69, 'trace_an': 0}
-
id: 140912311
{'hecke_orbit_code': 36028797052544536, 'n': 70, 'trace_an': 0}
-
id: 140912312
{'hecke_orbit_code': 36028797052544536, 'n': 71, 'trace_an': -6}
-
id: 140912313
{'hecke_orbit_code': 36028797052544536, 'n': 72, 'trace_an': 0}
-
id: 140912314
{'hecke_orbit_code': 36028797052544536, 'n': 73, 'trace_an': -1}
-
id: 140912315
{'hecke_orbit_code': 36028797052544536, 'n': 74, 'trace_an': 0}
-
id: 140912316
{'hecke_orbit_code': 36028797052544536, 'n': 75, 'trace_an': 0}
-
id: 140912317
{'hecke_orbit_code': 36028797052544536, 'n': 76, 'trace_an': 0}
-
id: 140912318
{'hecke_orbit_code': 36028797052544536, 'n': 77, 'trace_an': 0}
-
id: 140912319
{'hecke_orbit_code': 36028797052544536, 'n': 78, 'trace_an': 0}
-
id: 140912320
{'hecke_orbit_code': 36028797052544536, 'n': 79, 'trace_an': -1}
-
id: 140912321
{'hecke_orbit_code': 36028797052544536, 'n': 80, 'trace_an': 0}
-
id: 140912322
{'hecke_orbit_code': 36028797052544536, 'n': 81, 'trace_an': 0}
-
id: 140912323
{'hecke_orbit_code': 36028797052544536, 'n': 82, 'trace_an': 0}
-
id: 140912324
{'hecke_orbit_code': 36028797052544536, 'n': 83, 'trace_an': -6}
-
id: 140912325
{'hecke_orbit_code': 36028797052544536, 'n': 84, 'trace_an': 0}
-
id: 140912326
{'hecke_orbit_code': 36028797052544536, 'n': 85, 'trace_an': 0}
-
id: 140912327
{'hecke_orbit_code': 36028797052544536, 'n': 86, 'trace_an': 0}
-
id: 140912328
{'hecke_orbit_code': 36028797052544536, 'n': 87, 'trace_an': 0}
-
id: 140912329
{'hecke_orbit_code': 36028797052544536, 'n': 88, 'trace_an': 0}
-
id: 140912330
{'hecke_orbit_code': 36028797052544536, 'n': 89, 'trace_an': 2}
-
id: 140912331
{'hecke_orbit_code': 36028797052544536, 'n': 90, 'trace_an': 0}
-
id: 140912332
{'hecke_orbit_code': 36028797052544536, 'n': 91, 'trace_an': 15}
-
id: 140912333
{'hecke_orbit_code': 36028797052544536, 'n': 92, 'trace_an': 0}
-
id: 140912334
{'hecke_orbit_code': 36028797052544536, 'n': 93, 'trace_an': 0}
-
id: 140912335
{'hecke_orbit_code': 36028797052544536, 'n': 94, 'trace_an': 0}
-
id: 140912336
{'hecke_orbit_code': 36028797052544536, 'n': 95, 'trace_an': 0}
-
id: 140912337
{'hecke_orbit_code': 36028797052544536, 'n': 96, 'trace_an': 0}
-
id: 140912338
{'hecke_orbit_code': 36028797052544536, 'n': 97, 'trace_an': -11}
-
id: 140912339
{'hecke_orbit_code': 36028797052544536, 'n': 98, 'trace_an': 0}
-
id: 140912340
{'hecke_orbit_code': 36028797052544536, 'n': 99, 'trace_an': 0}
-
id: 140912341
{'hecke_orbit_code': 36028797052544536, 'n': 100, 'trace_an': 0}