-
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], [12, 12, 12]], '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': 12, 'hecke_orbit_code': 49539595934653558, '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.l', '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}-4q^{7}+q^{8}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/23670/l'], '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, -4], 'traces': [1, 1, 0, 1, -1, 0, -4, 1, 0, -1, 2, 0, 1, -4, 0, 1, -3, 0, -4, -1, 0, 2, 0, 0, 1, 1, 0, -4, 0, 0, 2, 1, 0, -3, 4, 0, 10, -4, 0, -1, 5, 0, -6, 2, 0, 0, -11, 0, 9, 1, 0, 1, 5, 0, -2, -4, 0, 0, 12, 0, 4, 2, 0, 1, -1, 0, 4, -3, 0, 4, 8, 0, 7, 10, 0, -4, -8, 0, 3, -1, 0, 5, -13, 0, 3, -6, 0, 2, -14, 0, -4, 0, 0, -11, 4, 0, 1, 9, 0, 1], 'weight': 2, 'weight_parity': 1}
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label 23670.2.a.l 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, 0, -20, -12, 0, 60, 0, 0, 498, 24, 0, 0, -68, 0, 0, -4, 0, 84, -52, 0, 0, 24, 0, 8, 0, 0, 168, 32, 0, 4, 56, 0, 108, 52, 0, 426, -88, 0, 8, -2, 0, -8, -48, 0, -8, 24, 0, 12, 8, 0, 4, -8, 0, 60, 0, 0, 56, -44, 0, 0, 104, 0, -184, 8, 0, -20, -132, 0, 48, 16, 0, -8, -12, 0, 12, 28, 0, -40, 48, 0, -28, -90, 0, 40, 48, 0, -200, 0, 0, 0, -52, 0, -56, -40, 0, 434, -4, 0, -40, 0, 0, 20, 0, 0, 16, 0, 0, 28, -24, 0, -56, 4, 0, -4, -4, 0, -48, 36, 0, 4, -44, 0, -116, -48, 0, -56, 24, 0, 350, 4, 0, 28, -8, 0, -8, 8, 0, 36, 72, 0, -144, 40, 0, 12, 40, 0, -48, 16, 0, -48, -40, 0, -36, 40, 0, 24, 84, 0, 88, 0, 0, 48, -136, 0, 12, -20, 0, -20, 68, 0, -16, 16, 0, -16, 20, 0, -76, -14, 0, 24, 132, 0, 0, 20, 0, 88, -52, 0, 28, 8, 0, 24, -28, 0, 24, 68, 0, 24, 84, 0, 430, 4, 0, 32, -28, 0, -160, -8, 0, 16, -84, 0, -96, 0, 0, -24, 120, 0, -180, 24, 0, 16, 48, 0, -36, -4, 0, -28, 104, 0, -216, -66, 0, 24, 16, 0, 104, -136, 0, 434, -88, 0, -112, 32, 0, -32, 80, 0, -44, 0, 0, 8, 88, 0, 16, -8, 0, 64, -80, 0, 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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.l does not appear in mf_twists_nf
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hecke_orbit_code 49539595934653558 does not appear in mf_hecke_charpolys
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label 23670.2.a.l does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 146378242
{'hecke_orbit_code': 49539595934653558, 'n': 1, 'trace_an': 1}
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id: 146378243
{'hecke_orbit_code': 49539595934653558, 'n': 2, 'trace_an': 1}
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id: 146378244
{'hecke_orbit_code': 49539595934653558, 'n': 3, 'trace_an': 0}
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id: 146378245
{'hecke_orbit_code': 49539595934653558, 'n': 4, 'trace_an': 1}
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id: 146378246
{'hecke_orbit_code': 49539595934653558, 'n': 5, 'trace_an': -1}
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id: 146378247
{'hecke_orbit_code': 49539595934653558, 'n': 6, 'trace_an': 0}
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id: 146378248
{'hecke_orbit_code': 49539595934653558, 'n': 7, 'trace_an': -4}
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id: 146378249
{'hecke_orbit_code': 49539595934653558, 'n': 8, 'trace_an': 1}
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id: 146378250
{'hecke_orbit_code': 49539595934653558, 'n': 9, 'trace_an': 0}
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id: 146378251
{'hecke_orbit_code': 49539595934653558, 'n': 10, 'trace_an': -1}
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id: 146378252
{'hecke_orbit_code': 49539595934653558, 'n': 11, 'trace_an': 2}
-
id: 146378253
{'hecke_orbit_code': 49539595934653558, 'n': 12, 'trace_an': 0}
-
id: 146378254
{'hecke_orbit_code': 49539595934653558, 'n': 13, 'trace_an': 1}
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id: 146378255
{'hecke_orbit_code': 49539595934653558, 'n': 14, 'trace_an': -4}
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id: 146378256
{'hecke_orbit_code': 49539595934653558, 'n': 15, 'trace_an': 0}
-
id: 146378257
{'hecke_orbit_code': 49539595934653558, 'n': 16, 'trace_an': 1}
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id: 146378258
{'hecke_orbit_code': 49539595934653558, 'n': 17, 'trace_an': -3}
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id: 146378259
{'hecke_orbit_code': 49539595934653558, 'n': 18, 'trace_an': 0}
-
id: 146378260
{'hecke_orbit_code': 49539595934653558, 'n': 19, 'trace_an': -4}
-
id: 146378261
{'hecke_orbit_code': 49539595934653558, 'n': 20, 'trace_an': -1}
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id: 146378262
{'hecke_orbit_code': 49539595934653558, 'n': 21, 'trace_an': 0}
-
id: 146378263
{'hecke_orbit_code': 49539595934653558, 'n': 22, 'trace_an': 2}
-
id: 146378264
{'hecke_orbit_code': 49539595934653558, 'n': 23, 'trace_an': 0}
-
id: 146378265
{'hecke_orbit_code': 49539595934653558, 'n': 24, 'trace_an': 0}
-
id: 146378266
{'hecke_orbit_code': 49539595934653558, 'n': 25, 'trace_an': 1}
-
id: 146378267
{'hecke_orbit_code': 49539595934653558, 'n': 26, 'trace_an': 1}
-
id: 146378268
{'hecke_orbit_code': 49539595934653558, 'n': 27, 'trace_an': 0}
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id: 146378269
{'hecke_orbit_code': 49539595934653558, 'n': 28, 'trace_an': -4}
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id: 146378270
{'hecke_orbit_code': 49539595934653558, 'n': 29, 'trace_an': 0}
-
id: 146378271
{'hecke_orbit_code': 49539595934653558, 'n': 30, 'trace_an': 0}
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id: 146378272
{'hecke_orbit_code': 49539595934653558, 'n': 31, 'trace_an': 2}
-
id: 146378273
{'hecke_orbit_code': 49539595934653558, 'n': 32, 'trace_an': 1}
-
id: 146378274
{'hecke_orbit_code': 49539595934653558, 'n': 33, 'trace_an': 0}
-
id: 146378275
{'hecke_orbit_code': 49539595934653558, 'n': 34, 'trace_an': -3}
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id: 146378276
{'hecke_orbit_code': 49539595934653558, 'n': 35, 'trace_an': 4}
-
id: 146378277
{'hecke_orbit_code': 49539595934653558, 'n': 36, 'trace_an': 0}
-
id: 146378278
{'hecke_orbit_code': 49539595934653558, 'n': 37, 'trace_an': 10}
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id: 146378279
{'hecke_orbit_code': 49539595934653558, 'n': 38, 'trace_an': -4}
-
id: 146378280
{'hecke_orbit_code': 49539595934653558, 'n': 39, 'trace_an': 0}
-
id: 146378281
{'hecke_orbit_code': 49539595934653558, 'n': 40, 'trace_an': -1}
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id: 146378282
{'hecke_orbit_code': 49539595934653558, 'n': 41, 'trace_an': 5}
-
id: 146378283
{'hecke_orbit_code': 49539595934653558, 'n': 42, 'trace_an': 0}
-
id: 146378284
{'hecke_orbit_code': 49539595934653558, 'n': 43, 'trace_an': -6}
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id: 146378285
{'hecke_orbit_code': 49539595934653558, 'n': 44, 'trace_an': 2}
-
id: 146378286
{'hecke_orbit_code': 49539595934653558, 'n': 45, 'trace_an': 0}
-
id: 146378287
{'hecke_orbit_code': 49539595934653558, 'n': 46, 'trace_an': 0}
-
id: 146378288
{'hecke_orbit_code': 49539595934653558, 'n': 47, 'trace_an': -11}
-
id: 146378289
{'hecke_orbit_code': 49539595934653558, 'n': 48, 'trace_an': 0}
-
id: 146378290
{'hecke_orbit_code': 49539595934653558, 'n': 49, 'trace_an': 9}
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id: 146378291
{'hecke_orbit_code': 49539595934653558, 'n': 50, 'trace_an': 1}
-
id: 146378292
{'hecke_orbit_code': 49539595934653558, 'n': 51, 'trace_an': 0}
-
id: 146378293
{'hecke_orbit_code': 49539595934653558, 'n': 52, 'trace_an': 1}
-
id: 146378294
{'hecke_orbit_code': 49539595934653558, 'n': 53, 'trace_an': 5}
-
id: 146378295
{'hecke_orbit_code': 49539595934653558, 'n': 54, 'trace_an': 0}
-
id: 146378296
{'hecke_orbit_code': 49539595934653558, 'n': 55, 'trace_an': -2}
-
id: 146378297
{'hecke_orbit_code': 49539595934653558, 'n': 56, 'trace_an': -4}
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id: 146378298
{'hecke_orbit_code': 49539595934653558, 'n': 57, 'trace_an': 0}
-
id: 146378299
{'hecke_orbit_code': 49539595934653558, 'n': 58, 'trace_an': 0}
-
id: 146378300
{'hecke_orbit_code': 49539595934653558, 'n': 59, 'trace_an': 12}
-
id: 146378301
{'hecke_orbit_code': 49539595934653558, 'n': 60, 'trace_an': 0}
-
id: 146378302
{'hecke_orbit_code': 49539595934653558, 'n': 61, 'trace_an': 4}
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id: 146378303
{'hecke_orbit_code': 49539595934653558, 'n': 62, 'trace_an': 2}
-
id: 146378304
{'hecke_orbit_code': 49539595934653558, 'n': 63, 'trace_an': 0}
-
id: 146378305
{'hecke_orbit_code': 49539595934653558, 'n': 64, 'trace_an': 1}
-
id: 146378306
{'hecke_orbit_code': 49539595934653558, 'n': 65, 'trace_an': -1}
-
id: 146378307
{'hecke_orbit_code': 49539595934653558, 'n': 66, 'trace_an': 0}
-
id: 146378308
{'hecke_orbit_code': 49539595934653558, 'n': 67, 'trace_an': 4}
-
id: 146378309
{'hecke_orbit_code': 49539595934653558, 'n': 68, 'trace_an': -3}
-
id: 146378310
{'hecke_orbit_code': 49539595934653558, 'n': 69, 'trace_an': 0}
-
id: 146378311
{'hecke_orbit_code': 49539595934653558, 'n': 70, 'trace_an': 4}
-
id: 146378312
{'hecke_orbit_code': 49539595934653558, 'n': 71, 'trace_an': 8}
-
id: 146378313
{'hecke_orbit_code': 49539595934653558, 'n': 72, 'trace_an': 0}
-
id: 146378314
{'hecke_orbit_code': 49539595934653558, 'n': 73, 'trace_an': 7}
-
id: 146378315
{'hecke_orbit_code': 49539595934653558, 'n': 74, 'trace_an': 10}
-
id: 146378316
{'hecke_orbit_code': 49539595934653558, 'n': 75, 'trace_an': 0}
-
id: 146378317
{'hecke_orbit_code': 49539595934653558, 'n': 76, 'trace_an': -4}
-
id: 146378318
{'hecke_orbit_code': 49539595934653558, 'n': 77, 'trace_an': -8}
-
id: 146378319
{'hecke_orbit_code': 49539595934653558, 'n': 78, 'trace_an': 0}
-
id: 146378320
{'hecke_orbit_code': 49539595934653558, 'n': 79, 'trace_an': 3}
-
id: 146378321
{'hecke_orbit_code': 49539595934653558, 'n': 80, 'trace_an': -1}
-
id: 146378322
{'hecke_orbit_code': 49539595934653558, 'n': 81, 'trace_an': 0}
-
id: 146378323
{'hecke_orbit_code': 49539595934653558, 'n': 82, 'trace_an': 5}
-
id: 146378324
{'hecke_orbit_code': 49539595934653558, 'n': 83, 'trace_an': -13}
-
id: 146378325
{'hecke_orbit_code': 49539595934653558, 'n': 84, 'trace_an': 0}
-
id: 146378326
{'hecke_orbit_code': 49539595934653558, 'n': 85, 'trace_an': 3}
-
id: 146378327
{'hecke_orbit_code': 49539595934653558, 'n': 86, 'trace_an': -6}
-
id: 146378328
{'hecke_orbit_code': 49539595934653558, 'n': 87, 'trace_an': 0}
-
id: 146378329
{'hecke_orbit_code': 49539595934653558, 'n': 88, 'trace_an': 2}
-
id: 146378330
{'hecke_orbit_code': 49539595934653558, 'n': 89, 'trace_an': -14}
-
id: 146378331
{'hecke_orbit_code': 49539595934653558, 'n': 90, 'trace_an': 0}
-
id: 146378332
{'hecke_orbit_code': 49539595934653558, 'n': 91, 'trace_an': -4}
-
id: 146378333
{'hecke_orbit_code': 49539595934653558, 'n': 92, 'trace_an': 0}
-
id: 146378334
{'hecke_orbit_code': 49539595934653558, 'n': 93, 'trace_an': 0}
-
id: 146378335
{'hecke_orbit_code': 49539595934653558, 'n': 94, 'trace_an': -11}
-
id: 146378336
{'hecke_orbit_code': 49539595934653558, 'n': 95, 'trace_an': 4}
-
id: 146378337
{'hecke_orbit_code': 49539595934653558, 'n': 96, 'trace_an': 0}
-
id: 146378338
{'hecke_orbit_code': 49539595934653558, 'n': 97, 'trace_an': 1}
-
id: 146378339
{'hecke_orbit_code': 49539595934653558, 'n': 98, 'trace_an': 9}
-
id: 146378340
{'hecke_orbit_code': 49539595934653558, 'n': 99, 'trace_an': 0}
-
id: 146378341
{'hecke_orbit_code': 49539595934653558, 'n': 100, 'trace_an': 1}