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mf_newforms • Show schema
Hide schema
{'Nk2': 138720, 'analytic_conductor': 276.9211942098004, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [17, 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': [34680, 1, [8671, 17341, 11561, 6937, 6361], [10, 10, 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': 40532396679923576, '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': '34680.2.a.j', 'level': 34680, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}+3q^{7}+q^{9}+q^{11}-6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/34680/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '34680.2.a', 'trace_display': [0, -1, -1, 3], 'traces': [1, 0, -1, 0, -1, 0, 3, 0, 1, 0, 1, 0, -6, 0, 1, 0, 0, 0, -1, 0, -3, 0, -6, 0, 1, 0, -1, 0, 5, 0, 2, 0, -1, 0, -3, 0, 11, 0, 6, 0, 9, 0, 0, 0, -1, 0, 5, 0, 2, 0, 0, 0, -3, 0, -1, 0, 1, 0, -12, 0, 10, 0, 3, 0, 6, 0, 4, 0, 6, 0, 4, 0, -3, 0, -1, 0, 3, 0, 2, 0, 1, 0, 12, 0, 0, 0, -5, 0, 4, 0, -18, 0, -2, 0, 1, 0, -14, 0, 1, 0], 'weight': 2, 'weight_parity': 1}
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label 34680.2.a.j does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [32, 36, 31, 36, 40, 28, 32, 36, 31, 36, 32, 36, 32, 36, 40, 28], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [401, 429, 428, 408, 428, 407, 409, 420, 419, 413, 427, 406, 418, 415, 401, 430], 'Nk2': 138720, 'analytic_conductor': 276.9211942098004, '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': [34680, 1, [8671, 17341, 11561, 6937, 6361], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 7201, 'dim': 542, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33589112, '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, 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, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 16, 16, 16, 16, 20, 20, 20, 20], 'label': '34680.2.a', 'level': 34680, '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, 17], 'level_radical': 510, 'mf_dim': 7488, 'mf_new_dim': 542, 'num_forms': 120, 'plus_dim': 256, 'prim_orbit_index': 1, 'relative_dim': 542, 'sturm_bound': 14688, 'trace_display': [0, 2, 0, 4], 'traces': [542, 0, 2, 0, 0, 0, 4, 0, 542, 0, -4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, -8, 0, 542, 0, 2, 0, 8, 0, 0, 0, 4, 0, -4, 0, 8, 0, 8, 0, 4, 0, 0, 0, 0, 0, -32, 0, 574, 0, 0, 0, -32, 0, 4, 0, 0, 0, -36, 0, -28, 0, 4, 0, 12, 0, -8, 0, 8, 0, -24, 0, -20, 0, 2, 0, -32, 0, -16, 0, 542, 0, -48, 0, 0, 0, -8, 0, 28, 0, -8, 0, 0, 0, 8, 0, 36, 0, -4, 0, -40, 0, -28, 0, -4, 0, -48, 0, -12, 0, 16, 0, 16, 0, -16, 0, 8, 0, 0, 0, 542, 0, -4, 0, 0, 0, 4, 0, 0, 0, -76, 0, -48, 0, 0, 0, -16, 0, -24, 0, -32, 0, -24, 0, -4, 0, 34, 0, 32, 0, 8, 0, 0, 0, -8, 0, 24, 0, -32, 0, 48, 0, 48, 0, -4, 0, 8, 0, 514, 0, 0, 0, -16, 0, 4, 0, -20, 0, 12, 0, -44, 0, 36, 0, 20, 0, 0, 0, 4, 0, -72, 0, -4, 0, -12, 0, -48, 0, 8, 0, -24, 0, -8, 0, 0, 0, -8, 0, 48, 0, -8, 0, -24, 0, -32, 0, -16, 0, 12, 0, 0, 0, -60, 0, 542, 0, 72, 0, 60, 0, 0, 0, 8, 0, 0, 0, 48, 0, 56, 0, 44, 0, 2, 0, 16, 0, 64, 0, -16, 0, -28, 0, 32, 0, 0, 0, 48, 0, -24, 0, 8, 0, -8, 0, -4, 0, -20, 0, 8, 0, 56, 0, 40, 0, -4, 0, -24, 0, 0, 0, 12, 0, 48, 0, 8, 0, 56, 0, 0, 0, 4, 0, -64, 0, -12, 0, 4, 0, 112, 0, 80, 0, 40, 0, -8, 0, -16, 0, 36, 0, -136, 0, 60, 0, -4, 0, 64, 0, 72, 0, 32, 0, 0, 0, 8, 0, -12, 0, -48, 0, -16, 0, 8, 0, 40, 0, 60, 0, -48, 0, -48, 0, -40, 0, -16, 0, 152, 0, -28, 0, 8, 0, 88, 0, -40, 0, 0, 0, 48, 0, 614, 0, 26, 0, -40, 0, 20, 0, 4, 0, -88, 0, 72, 0, 0, 0, 56, 0, 72, 0, -12, 0, 48, 0, 32, 0, 0, 0, 0, 0, 0, 0, 28, 0, 24, 0, 40, 0, 48, 0, -4, 0, 64, 0, 0, 0, 88, 0, 92, 0, -16, 0, 80, 0, 8, 0, 16, 0, 20, 0, -68, 0, -32, 0, 0, 0, 72, 0, 56, 0, -32, 0, 44, 0, 4, 0, 96, 0, 56, 0, 574, 0, -104, 0, 8, 0, 16, 0, 76, 0, -104, 0, 16, 0, -72, 0, -44, 0, 0, 0, -32, 0, 92, 0, -8, 0, 80, 0, 96, 0, 56, 0, 16, 0, 0, 0, -32, 0, 136, 0, -40, 0, -16, 0, -32, 0, 28, 0, -72, 0, 52, 0, 0, 0, 4, 0, 16, 0, -48, 0, -8, 0, 80, 0, -52, 0, 46, 0, 24, 0, 88, 0, 0, 0, -52, 0, 32, 0, 48, 0, -36, 0, -24, 0, 4, 0, 0, 0, 550, 0, -36, 0, -48, 0, 56, 0, 28, 0, -100, 0, -28, 0, 20, 0, 24, 0, 120, 0, -28, 0, 16, 0, -144, 0, 4, 0, 192, 0, 80, 0, 0, 0, 72, 0, -36, 0, 4, 0, 92, 0, -16, 0, -88, 0, -8, 0, 20, 0, 44, 0, -16, 0, 200, 0, 12, 0, -192, 0, 16, 0, 96, 0, 32, 0, 0, 0, 8, 0, 0, 0, 60, 0, -8, 0, -48, 0, 92, 0, -72, 0, 48, 0, 192, 0, 16, 0, 184, 0, -8, 0, 8, 0, -216, 0, 542, 0, -32, 0, 0, 0, -128, 0, -32, 0, 44, 0, -8, 0, -24, 0, 68, 0, -48, 0, 32, 0, 160, 0, 64, 0, 96, 0, 160, 0, 12, 0, -20, 0, 36, 0, -140, 0, 0, 0, 32, 0, -144, 0, 116, 0, -136, 0, 12, 0, 2, 0, -16, 0, 88, 0, -24, 0, 0, 0, 4, 0, 76, 0, 168, 0, 80, 0, -32, 0, -64, 0, 0, 0, -56, 0, 40, 0, -48, 0, 0, 0, -40, 0, -36, 0, -16, 0, -32, 0, -72, 0, -24, 0, -192, 0, -176, 0, 4, 0, 8, 0, 108, 0, 542, 0, 0, 0, 128, 0, 16, 0, -48, 0, -48, 0, 96, 0, 144, 0, 4, 0, -48, 0, -96, 0, -32, 0, -76, 0, -32, 0, 128, 0, 0, 0, -52, 0, 24, 0, 0, 0, -88, 0, 44, 0, -112, 0, 48, 0, 0, 0, -40, 0, -256, 0, 16, 0, -8, 0, -4, 0, 48, 0, -8, 0, -88, 0, 16, 0, 4, 0, -112, 0, 0, 0, 28, 0, 360, 0, -64, 0, 104, 0, -92, 0, -120, 0, -16, 0, -24, 0, -48, 0, -8, 0, 152, 0, -20, 0, 4, 0, -184, 0, -108, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 466, 0, -20, 0, -96, 0, -44, 0, 8, 0, 32, 0, -104, 0, 8, 0, 24, 0, 56, 0, -104, 0, -280, 0, 44, 0, 0, 0, -336, 0, 920, 0, 36, 0, -4, 0, -16, 0, 128, 0, -20, 0, 848, 0, 36, 0, 24, 0, -128, 0, -4, 0, 48, 0, -60, 0, -160, 0, -64, 0, 0, 0, 1000, 0, -72, 0, 56, 0, -40, 0, -16, 0, -304, 0, 8, 0, -176, 0, -48, 0, 48, 0, -128, 0, 8, 0, -28, 0, 60, 0, 1192, 0, 24, 0, 0, 0, -124, 0, 12, 0, 16, 0, 176, 0, -4, 0, 72, 0, -112, 0, 0, 0, 96, 0, 40, 0, -56, 0, -88, 0, 646, 0, -48, 0, 56, 0, 1116, 0, 0, 0, 164, 0, -208, 0, 8, 0, -120, 0, -88, 0, -12, 0, -128, 0, 92, 0, 32, 0, -112, 0, -168, 0, -32, 0, 0, 0, -128, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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source_label 34680.2.a.j does not appear in mf_twists_nf
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hecke_orbit_code 40532396679923576 does not appear in mf_hecke_charpolys
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label 34680.2.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: 143393142
{'hecke_orbit_code': 40532396679923576, 'n': 1, 'trace_an': 1}
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id: 143393143
{'hecke_orbit_code': 40532396679923576, 'n': 2, 'trace_an': 0}
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id: 143393144
{'hecke_orbit_code': 40532396679923576, 'n': 3, 'trace_an': -1}
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id: 143393145
{'hecke_orbit_code': 40532396679923576, 'n': 4, 'trace_an': 0}
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id: 143393146
{'hecke_orbit_code': 40532396679923576, 'n': 5, 'trace_an': -1}
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id: 143393147
{'hecke_orbit_code': 40532396679923576, 'n': 6, 'trace_an': 0}
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id: 143393148
{'hecke_orbit_code': 40532396679923576, 'n': 7, 'trace_an': 3}
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id: 143393149
{'hecke_orbit_code': 40532396679923576, 'n': 8, 'trace_an': 0}
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id: 143393150
{'hecke_orbit_code': 40532396679923576, 'n': 9, 'trace_an': 1}
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id: 143393151
{'hecke_orbit_code': 40532396679923576, 'n': 10, 'trace_an': 0}
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id: 143393152
{'hecke_orbit_code': 40532396679923576, 'n': 11, 'trace_an': 1}
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id: 143393153
{'hecke_orbit_code': 40532396679923576, 'n': 12, 'trace_an': 0}
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id: 143393154
{'hecke_orbit_code': 40532396679923576, 'n': 13, 'trace_an': -6}
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id: 143393155
{'hecke_orbit_code': 40532396679923576, 'n': 14, 'trace_an': 0}
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id: 143393156
{'hecke_orbit_code': 40532396679923576, 'n': 15, 'trace_an': 1}
-
id: 143393157
{'hecke_orbit_code': 40532396679923576, 'n': 16, 'trace_an': 0}
-
id: 143393158
{'hecke_orbit_code': 40532396679923576, 'n': 17, 'trace_an': 0}
-
id: 143393159
{'hecke_orbit_code': 40532396679923576, 'n': 18, 'trace_an': 0}
-
id: 143393160
{'hecke_orbit_code': 40532396679923576, 'n': 19, 'trace_an': -1}
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id: 143393161
{'hecke_orbit_code': 40532396679923576, 'n': 20, 'trace_an': 0}
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id: 143393162
{'hecke_orbit_code': 40532396679923576, 'n': 21, 'trace_an': -3}
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id: 143393163
{'hecke_orbit_code': 40532396679923576, 'n': 22, 'trace_an': 0}
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id: 143393164
{'hecke_orbit_code': 40532396679923576, 'n': 23, 'trace_an': -6}
-
id: 143393165
{'hecke_orbit_code': 40532396679923576, 'n': 24, 'trace_an': 0}
-
id: 143393166
{'hecke_orbit_code': 40532396679923576, 'n': 25, 'trace_an': 1}
-
id: 143393167
{'hecke_orbit_code': 40532396679923576, 'n': 26, 'trace_an': 0}
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id: 143393168
{'hecke_orbit_code': 40532396679923576, 'n': 27, 'trace_an': -1}
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id: 143393169
{'hecke_orbit_code': 40532396679923576, 'n': 28, 'trace_an': 0}
-
id: 143393170
{'hecke_orbit_code': 40532396679923576, 'n': 29, 'trace_an': 5}
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id: 143393171
{'hecke_orbit_code': 40532396679923576, 'n': 30, 'trace_an': 0}
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id: 143393172
{'hecke_orbit_code': 40532396679923576, 'n': 31, 'trace_an': 2}
-
id: 143393173
{'hecke_orbit_code': 40532396679923576, 'n': 32, 'trace_an': 0}
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id: 143393174
{'hecke_orbit_code': 40532396679923576, 'n': 33, 'trace_an': -1}
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id: 143393175
{'hecke_orbit_code': 40532396679923576, 'n': 34, 'trace_an': 0}
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id: 143393176
{'hecke_orbit_code': 40532396679923576, 'n': 35, 'trace_an': -3}
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id: 143393177
{'hecke_orbit_code': 40532396679923576, 'n': 36, 'trace_an': 0}
-
id: 143393178
{'hecke_orbit_code': 40532396679923576, 'n': 37, 'trace_an': 11}
-
id: 143393179
{'hecke_orbit_code': 40532396679923576, 'n': 38, 'trace_an': 0}
-
id: 143393180
{'hecke_orbit_code': 40532396679923576, 'n': 39, 'trace_an': 6}
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id: 143393181
{'hecke_orbit_code': 40532396679923576, 'n': 40, 'trace_an': 0}
-
id: 143393182
{'hecke_orbit_code': 40532396679923576, 'n': 41, 'trace_an': 9}
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id: 143393183
{'hecke_orbit_code': 40532396679923576, 'n': 42, 'trace_an': 0}
-
id: 143393184
{'hecke_orbit_code': 40532396679923576, 'n': 43, 'trace_an': 0}
-
id: 143393185
{'hecke_orbit_code': 40532396679923576, 'n': 44, 'trace_an': 0}
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id: 143393186
{'hecke_orbit_code': 40532396679923576, 'n': 45, 'trace_an': -1}
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id: 143393187
{'hecke_orbit_code': 40532396679923576, 'n': 46, 'trace_an': 0}
-
id: 143393188
{'hecke_orbit_code': 40532396679923576, 'n': 47, 'trace_an': 5}
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id: 143393189
{'hecke_orbit_code': 40532396679923576, 'n': 48, 'trace_an': 0}
-
id: 143393190
{'hecke_orbit_code': 40532396679923576, 'n': 49, 'trace_an': 2}
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id: 143393191
{'hecke_orbit_code': 40532396679923576, 'n': 50, 'trace_an': 0}
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id: 143393192
{'hecke_orbit_code': 40532396679923576, 'n': 51, 'trace_an': 0}
-
id: 143393193
{'hecke_orbit_code': 40532396679923576, 'n': 52, 'trace_an': 0}
-
id: 143393194
{'hecke_orbit_code': 40532396679923576, 'n': 53, 'trace_an': -3}
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id: 143393195
{'hecke_orbit_code': 40532396679923576, 'n': 54, 'trace_an': 0}
-
id: 143393196
{'hecke_orbit_code': 40532396679923576, 'n': 55, 'trace_an': -1}
-
id: 143393197
{'hecke_orbit_code': 40532396679923576, 'n': 56, 'trace_an': 0}
-
id: 143393198
{'hecke_orbit_code': 40532396679923576, 'n': 57, 'trace_an': 1}
-
id: 143393199
{'hecke_orbit_code': 40532396679923576, 'n': 58, 'trace_an': 0}
-
id: 143393200
{'hecke_orbit_code': 40532396679923576, 'n': 59, 'trace_an': -12}
-
id: 143393201
{'hecke_orbit_code': 40532396679923576, 'n': 60, 'trace_an': 0}
-
id: 143393202
{'hecke_orbit_code': 40532396679923576, 'n': 61, 'trace_an': 10}
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id: 143393203
{'hecke_orbit_code': 40532396679923576, 'n': 62, 'trace_an': 0}
-
id: 143393204
{'hecke_orbit_code': 40532396679923576, 'n': 63, 'trace_an': 3}
-
id: 143393205
{'hecke_orbit_code': 40532396679923576, 'n': 64, 'trace_an': 0}
-
id: 143393206
{'hecke_orbit_code': 40532396679923576, 'n': 65, 'trace_an': 6}
-
id: 143393207
{'hecke_orbit_code': 40532396679923576, 'n': 66, 'trace_an': 0}
-
id: 143393208
{'hecke_orbit_code': 40532396679923576, 'n': 67, 'trace_an': 4}
-
id: 143393209
{'hecke_orbit_code': 40532396679923576, 'n': 68, 'trace_an': 0}
-
id: 143393210
{'hecke_orbit_code': 40532396679923576, 'n': 69, 'trace_an': 6}
-
id: 143393211
{'hecke_orbit_code': 40532396679923576, 'n': 70, 'trace_an': 0}
-
id: 143393212
{'hecke_orbit_code': 40532396679923576, 'n': 71, 'trace_an': 4}
-
id: 143393213
{'hecke_orbit_code': 40532396679923576, 'n': 72, 'trace_an': 0}
-
id: 143393214
{'hecke_orbit_code': 40532396679923576, 'n': 73, 'trace_an': -3}
-
id: 143393215
{'hecke_orbit_code': 40532396679923576, 'n': 74, 'trace_an': 0}
-
id: 143393216
{'hecke_orbit_code': 40532396679923576, 'n': 75, 'trace_an': -1}
-
id: 143393217
{'hecke_orbit_code': 40532396679923576, 'n': 76, 'trace_an': 0}
-
id: 143393218
{'hecke_orbit_code': 40532396679923576, 'n': 77, 'trace_an': 3}
-
id: 143393219
{'hecke_orbit_code': 40532396679923576, 'n': 78, 'trace_an': 0}
-
id: 143393220
{'hecke_orbit_code': 40532396679923576, 'n': 79, 'trace_an': 2}
-
id: 143393221
{'hecke_orbit_code': 40532396679923576, 'n': 80, 'trace_an': 0}
-
id: 143393222
{'hecke_orbit_code': 40532396679923576, 'n': 81, 'trace_an': 1}
-
id: 143393223
{'hecke_orbit_code': 40532396679923576, 'n': 82, 'trace_an': 0}
-
id: 143393224
{'hecke_orbit_code': 40532396679923576, 'n': 83, 'trace_an': 12}
-
id: 143393225
{'hecke_orbit_code': 40532396679923576, 'n': 84, 'trace_an': 0}
-
id: 143393226
{'hecke_orbit_code': 40532396679923576, 'n': 85, 'trace_an': 0}
-
id: 143393227
{'hecke_orbit_code': 40532396679923576, 'n': 86, 'trace_an': 0}
-
id: 143393228
{'hecke_orbit_code': 40532396679923576, 'n': 87, 'trace_an': -5}
-
id: 143393229
{'hecke_orbit_code': 40532396679923576, 'n': 88, 'trace_an': 0}
-
id: 143393230
{'hecke_orbit_code': 40532396679923576, 'n': 89, 'trace_an': 4}
-
id: 143393231
{'hecke_orbit_code': 40532396679923576, 'n': 90, 'trace_an': 0}
-
id: 143393232
{'hecke_orbit_code': 40532396679923576, 'n': 91, 'trace_an': -18}
-
id: 143393233
{'hecke_orbit_code': 40532396679923576, 'n': 92, 'trace_an': 0}
-
id: 143393234
{'hecke_orbit_code': 40532396679923576, 'n': 93, 'trace_an': -2}
-
id: 143393235
{'hecke_orbit_code': 40532396679923576, 'n': 94, 'trace_an': 0}
-
id: 143393236
{'hecke_orbit_code': 40532396679923576, 'n': 95, 'trace_an': 1}
-
id: 143393237
{'hecke_orbit_code': 40532396679923576, 'n': 96, 'trace_an': 0}
-
id: 143393238
{'hecke_orbit_code': 40532396679923576, 'n': 97, 'trace_an': -14}
-
id: 143393239
{'hecke_orbit_code': 40532396679923576, 'n': 98, 'trace_an': 0}
-
id: 143393240
{'hecke_orbit_code': 40532396679923576, 'n': 99, 'trace_an': 1}
-
id: 143393241
{'hecke_orbit_code': 40532396679923576, 'n': 100, 'trace_an': 0}