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mf_newforms • Show schema
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{'Nk2': 89964, 'analytic_conductor': 179.5915391860617, 'atkin_lehner_eigenvals': [[3, 1], [7, -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': [22491, 1, [16661, 5050, 6616], [4, 4, 4]], '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': 4, 'hecke_orbit_code': 13510798915688411, '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': '22491.2.a.d', 'level': 22491, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 17], 'level_radical': 357, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+2q^{4}+4q^{11}-4q^{16}+q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/22491/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22491.2.a', 'trace_display': [-2, 0, 0, 0], 'traces': [1, -2, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 1, 0, 6, 0, 0, -8, -7, 0, -5, 0, 0, 0, -1, 0, -9, 8, 0, -2, 0, 0, 6, -12, 0, 0, 6, 0, -9, 8, 0, 14, -3, 0, 0, 10, 0, 0, 2, 0, 0, 0, 0, 2, 3, 0, -3, 18, 0, -8, 0, 0, 13, 2, 0, 0, -5, 0, 15, -12, 0, 12, 0, 0, 8, 0, 0, -12, -12, 0, 0, 18, 0, 0, -15, 0, 0, -14, 0, 6, 0, 0, -3, 0, 0, -10], 'weight': 2, 'weight_parity': 1}
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label 22491.2.a.d does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [100, 116, 116, 104, 113, 97, 108, 120], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [257, 272, 270, 254, 267, 267, 254, 262], 'Nk2': 89964, 'analytic_conductor': 179.5915391860617, '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': [22491, 1, [16661, 5050, 6616], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2977, 'dim': 874, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33576923, '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, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 10, 10, 11, 11, 14, 14, 14, 14, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 32, 32, 32, 32, 40, 40], 'label': '22491.2.a', 'level': 22491, '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': [3, 7, 17], 'level_radical': 357, 'mf_dim': 3072, 'mf_new_dim': 874, 'num_forms': 102, 'plus_dim': 409, 'prim_orbit_index': 1, 'relative_dim': 874, 'sturm_bound': 6048, 'trace_display': [0, 0, 0, 0], 'traces': [874, 0, 0, 872, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 908, 0, 0, 0, 0, 0, 36, 0, 0, 860, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 22, 0, 0, -8, 0, 0, 62, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 48, 0, 0, 2, 0, 0, 904, 0, 0, 102, 0, 0, 0, 0, 0, -10, 0, 0, 108, 0, 0, 118, 0, 0, 120, 0, 0, 2, 0, 0, 32, 0, 0, 0, 0, 0, -4, 0, 0, -42, 0, 0, 852, 0, 0, 44, 0, 0, 96, 0, 0, 56, 0, 0, 0, 0, 0, 68, 0, 0, 12, 0, 0, 814, 0, 0, 24, 0, 0, 84, 0, 0, -100, 0, 0, 0, 0, 0, -12, 0, 0, 94, 0, 0, 132, 0, 0, -66, 0, 0, 192, 0, 0, 94, 0, 0, 0, 0, 0, 88, 0, 0, 4, 0, 0, 106, 0, 0, -12, 0, 0, 906, 0, 0, 236, 0, 0, 0, 0, 0, -200, 0, 0, 94, 0, 0, -148, 0, 0, -16, 0, 0, -104, 0, 0, -54, 0, 0, 0, 0, 0, -26, 0, 0, -36, 0, 0, 72, 0, 0, -112, 0, 0, 230, 0, 0, -36, 0, 0, 0, 0, 0, -88, 0, 0, -50, 0, 0, 92, 0, 0, 76, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, -56, 0, 0, 86, 0, 0, -68, 0, 0, 170, 0, 0, 1020, 0, 0, 0, 0, 0, 16, 0, 0, 116, 0, 0, 124, 0, 0, -62, 0, 0, 52, 0, 0, 328, 0, 0, 0, 0, 0, 224, 0, 0, 28, 0, 0, 874, 0, 0, -32, 0, 0, 364, 0, 0, 20, 0, 0, 0, 0, 0, 164, 0, 0, 156, 0, 0, 152, 0, 0, 122, 0, 0, 304, 0, 0, 204, 0, 0, 0, 0, 0, 156, 0, 0, 240, 0, 0, -148, 0, 0, -156, 0, 0, -38, 0, 0, 8, 0, 0, 0, 0, 0, 12, 0, 0, -20, 0, 0, 120, 0, 0, 6, 0, 0, 332, 0, 0, 914, 0, 0, 0, 0, 0, -222, 0, 0, 184, 0, 0, -114, 0, 0, 236, 0, 0, 258, 0, 0, -52, 0, 0, 0, 0, 0, -32, 0, 0, 14, 0, 0, 216, 0, 0, -56, 0, 0, 1200, 0, 0, 20, 0, 0, 0, 0, 0, 176, 0, 0, 248, 0, 0, -132, 0, 0, -320, 0, 0, -130, 0, 0, 452, 0, 0, 0, 0, 0, -104, 0, 0, 38, 0, 0, 356, 0, 0, -144, 0, 0, 28, 0, 0, 136, 0, 0, 0, 0, 0, -30, 0, 0, 224, 0, 0, 76, 0, 0, 356, 0, 0, -238, 0, 0, 128, 0, 0, 0, 0, 0, 28, 0, 0, 190, 0, 0, 512, 0, 0, 186, 0, 0, 1044, 0, 0, -382, 0, 0, 0, 0, 0, 52, 0, 0, 24, 0, 0, 12, 0, 0, -24, 0, 0, -24, 0, 0, 308, 0, 0, 0, 0, 0, -16, 0, 0, -188, 0, 0, 216, 0, 0, -38, 0, 0, 328, 0, 0, 800, 0, 0, 0, 0, 0, 176, 0, 0, 300, 0, 0, -250, 0, 0, -4, 0, 0, -134, 0, 0, 948, 0, 0, 0, 0, 0, 332, 0, 0, -190, 0, 0, 336, 0, 0, 158, 0, 0, 612, 0, 0, -242, 0, 0, 0, 0, 0, 70, 0, 0, 288, 0, 0, 36, 0, 0, 76, 0, 0, 188, 0, 0, 612, 0, 0, 0, 0, 0, -4, 0, 0, -32, 0, 0, 904, 0, 0, -282, 0, 0, 364, 0, 0, 448, 0, 0, 0, 0, 0, 106, 0, 0, 56, 0, 0, 1014, 0, 0, 288, 0, 0, 28, 0, 0, 520, 0, 0, 0, 0, 0, -48, 0, 0, 28, 0, 0, 88, 0, 0, 480, 0, 0, 436, 0, 0, 246, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 346, 0, 0, -32, 0, 0, -158, 0, 0, 904, 0, 0, 0, 0, 0, -100, 0, 0, -176, 0, 0, 940, 0, 0, 96, 0, 0, -460, 0, 0, 78, 0, 0, 0, 0, 0, -110, 0, 0, 84, 0, 0, 230, 0, 0, -564, 0, 0, -528, 0, 0, 292, 0, 0, 0, 0, 0, 76, 0, 0, -292, 0, 0, 112, 0, 0, 100, 0, 0, -408, 0, 0, 250, 0, 0, 0, 0, 0, 360, 0, 0, -36, 0, 0, -418, 0, 0, 152, 0, 0, 364, 0, 0, -116, 0, 0, 0, 0, 0, -112, 0, 0, -136, 0, 0, -1260, 0, 0, -292, 0, 0, -1092, 0, 0, -104, 0, 0, 0, 0, 0, 190, 0, 0, 108, 0, 0, -262, 0, 0, -364, 0, 0, -16, 0, 0, -1364, 0, 0, 0, 0, 0, -88, 0, 0, -472, 0, 0, -1048, 0, 0, -316, 0, 0, 228, 0, 0, 390, 0, 0, 0, 0, 0, -14, 0, 0, 112, 0, 0, 230, 0, 0, 652, 0, 0, 682, 0, 0, -288, 0, 0, 0, 0, 0, -36, 0, 0, -26, 0, 0, 380, 0, 0, -18, 0, 0, -1228, 0, 0, 46, 0, 0, 0, 0, 0, 4, 0, 0, -108, 0, 0, 406, 0, 0, -336, 0, 0, -76, 0, 0, 192, 0, 0, 0, 0, 0, -40, 0, 0, -140, 0, 0, 280, 0, 0, 8, 0, 0, -1104, 0, 0, -386, 0, 0, 0, 0, 0, 144, 0, 0, 420, 0, 0, 358, 0, 0, 132, 0, 0, -66, 0, 0, -756, 0, 0, 0, 0, 0, -212, 0, 0, 30, 0, 0, 164, 0, 0, -302, 0, 0, -12, 0, 0, 646, 0, 0, 0, 0, 0, 208, 0, 0, 288, 0, 0, 926, 0, 0, 316, 0, 0, -96, 0, 0, 324, 0, 0, 0, 0, 0, -476, 0, 0, 288, 0, 0, -1004, 0, 0, 84, 0, 0, 500, 0, 0, -114, 0, 0, 0, 0, 0, -196, 0, 0, 688], 'weight': 2, 'weight_parity': 1}
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source_label 22491.2.a.d does not appear in mf_twists_nf
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hecke_orbit_code 13510798915688411 does not appear in mf_hecke_charpolys
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label 22491.2.a.d does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 127345142
{'hecke_orbit_code': 13510798915688411, 'n': 1, 'trace_an': 1}
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id: 127345143
{'hecke_orbit_code': 13510798915688411, 'n': 2, 'trace_an': -2}
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id: 127345144
{'hecke_orbit_code': 13510798915688411, 'n': 3, 'trace_an': 0}
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id: 127345145
{'hecke_orbit_code': 13510798915688411, 'n': 4, 'trace_an': 2}
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id: 127345146
{'hecke_orbit_code': 13510798915688411, 'n': 5, 'trace_an': 0}
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id: 127345147
{'hecke_orbit_code': 13510798915688411, 'n': 6, 'trace_an': 0}
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id: 127345148
{'hecke_orbit_code': 13510798915688411, 'n': 7, 'trace_an': 0}
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id: 127345149
{'hecke_orbit_code': 13510798915688411, 'n': 8, 'trace_an': 0}
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id: 127345150
{'hecke_orbit_code': 13510798915688411, 'n': 9, 'trace_an': 0}
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id: 127345151
{'hecke_orbit_code': 13510798915688411, 'n': 10, 'trace_an': 0}
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id: 127345152
{'hecke_orbit_code': 13510798915688411, 'n': 11, 'trace_an': 4}
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id: 127345153
{'hecke_orbit_code': 13510798915688411, 'n': 12, 'trace_an': 0}
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id: 127345154
{'hecke_orbit_code': 13510798915688411, 'n': 13, 'trace_an': 0}
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id: 127345155
{'hecke_orbit_code': 13510798915688411, 'n': 14, 'trace_an': 0}
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id: 127345156
{'hecke_orbit_code': 13510798915688411, 'n': 15, 'trace_an': 0}
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id: 127345157
{'hecke_orbit_code': 13510798915688411, 'n': 16, 'trace_an': -4}
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id: 127345158
{'hecke_orbit_code': 13510798915688411, 'n': 17, 'trace_an': 1}
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id: 127345159
{'hecke_orbit_code': 13510798915688411, 'n': 18, 'trace_an': 0}
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id: 127345160
{'hecke_orbit_code': 13510798915688411, 'n': 19, 'trace_an': 6}
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id: 127345161
{'hecke_orbit_code': 13510798915688411, 'n': 20, 'trace_an': 0}
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id: 127345162
{'hecke_orbit_code': 13510798915688411, 'n': 21, 'trace_an': 0}
-
id: 127345163
{'hecke_orbit_code': 13510798915688411, 'n': 22, 'trace_an': -8}
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id: 127345164
{'hecke_orbit_code': 13510798915688411, 'n': 23, 'trace_an': -7}
-
id: 127345165
{'hecke_orbit_code': 13510798915688411, 'n': 24, 'trace_an': 0}
-
id: 127345166
{'hecke_orbit_code': 13510798915688411, 'n': 25, 'trace_an': -5}
-
id: 127345167
{'hecke_orbit_code': 13510798915688411, 'n': 26, 'trace_an': 0}
-
id: 127345168
{'hecke_orbit_code': 13510798915688411, 'n': 27, 'trace_an': 0}
-
id: 127345169
{'hecke_orbit_code': 13510798915688411, 'n': 28, 'trace_an': 0}
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id: 127345170
{'hecke_orbit_code': 13510798915688411, 'n': 29, 'trace_an': -1}
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id: 127345171
{'hecke_orbit_code': 13510798915688411, 'n': 30, 'trace_an': 0}
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id: 127345172
{'hecke_orbit_code': 13510798915688411, 'n': 31, 'trace_an': -9}
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id: 127345173
{'hecke_orbit_code': 13510798915688411, 'n': 32, 'trace_an': 8}
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id: 127345174
{'hecke_orbit_code': 13510798915688411, 'n': 33, 'trace_an': 0}
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id: 127345175
{'hecke_orbit_code': 13510798915688411, 'n': 34, 'trace_an': -2}
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id: 127345176
{'hecke_orbit_code': 13510798915688411, 'n': 35, 'trace_an': 0}
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id: 127345177
{'hecke_orbit_code': 13510798915688411, 'n': 36, 'trace_an': 0}
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id: 127345178
{'hecke_orbit_code': 13510798915688411, 'n': 37, 'trace_an': 6}
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id: 127345179
{'hecke_orbit_code': 13510798915688411, 'n': 38, 'trace_an': -12}
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id: 127345180
{'hecke_orbit_code': 13510798915688411, 'n': 39, 'trace_an': 0}
-
id: 127345181
{'hecke_orbit_code': 13510798915688411, 'n': 40, 'trace_an': 0}
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id: 127345182
{'hecke_orbit_code': 13510798915688411, 'n': 41, 'trace_an': 6}
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id: 127345183
{'hecke_orbit_code': 13510798915688411, 'n': 42, 'trace_an': 0}
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id: 127345184
{'hecke_orbit_code': 13510798915688411, 'n': 43, 'trace_an': -9}
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id: 127345185
{'hecke_orbit_code': 13510798915688411, 'n': 44, 'trace_an': 8}
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id: 127345186
{'hecke_orbit_code': 13510798915688411, 'n': 45, 'trace_an': 0}
-
id: 127345187
{'hecke_orbit_code': 13510798915688411, 'n': 46, 'trace_an': 14}
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id: 127345188
{'hecke_orbit_code': 13510798915688411, 'n': 47, 'trace_an': -3}
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id: 127345189
{'hecke_orbit_code': 13510798915688411, 'n': 48, 'trace_an': 0}
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id: 127345190
{'hecke_orbit_code': 13510798915688411, 'n': 49, 'trace_an': 0}
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id: 127345191
{'hecke_orbit_code': 13510798915688411, 'n': 50, 'trace_an': 10}
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id: 127345192
{'hecke_orbit_code': 13510798915688411, 'n': 51, 'trace_an': 0}
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id: 127345193
{'hecke_orbit_code': 13510798915688411, 'n': 52, 'trace_an': 0}
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id: 127345194
{'hecke_orbit_code': 13510798915688411, 'n': 53, 'trace_an': 2}
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id: 127345195
{'hecke_orbit_code': 13510798915688411, 'n': 54, 'trace_an': 0}
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id: 127345196
{'hecke_orbit_code': 13510798915688411, 'n': 55, 'trace_an': 0}
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id: 127345197
{'hecke_orbit_code': 13510798915688411, 'n': 56, 'trace_an': 0}
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id: 127345198
{'hecke_orbit_code': 13510798915688411, 'n': 57, 'trace_an': 0}
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id: 127345199
{'hecke_orbit_code': 13510798915688411, 'n': 58, 'trace_an': 2}
-
id: 127345200
{'hecke_orbit_code': 13510798915688411, 'n': 59, 'trace_an': 3}
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id: 127345201
{'hecke_orbit_code': 13510798915688411, 'n': 60, 'trace_an': 0}
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id: 127345202
{'hecke_orbit_code': 13510798915688411, 'n': 61, 'trace_an': -3}
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id: 127345203
{'hecke_orbit_code': 13510798915688411, 'n': 62, 'trace_an': 18}
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id: 127345204
{'hecke_orbit_code': 13510798915688411, 'n': 63, 'trace_an': 0}
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id: 127345205
{'hecke_orbit_code': 13510798915688411, 'n': 64, 'trace_an': -8}
-
id: 127345206
{'hecke_orbit_code': 13510798915688411, 'n': 65, 'trace_an': 0}
-
id: 127345207
{'hecke_orbit_code': 13510798915688411, 'n': 66, 'trace_an': 0}
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id: 127345208
{'hecke_orbit_code': 13510798915688411, 'n': 67, 'trace_an': 13}
-
id: 127345209
{'hecke_orbit_code': 13510798915688411, 'n': 68, 'trace_an': 2}
-
id: 127345210
{'hecke_orbit_code': 13510798915688411, 'n': 69, 'trace_an': 0}
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id: 127345211
{'hecke_orbit_code': 13510798915688411, 'n': 70, 'trace_an': 0}
-
id: 127345212
{'hecke_orbit_code': 13510798915688411, 'n': 71, 'trace_an': -5}
-
id: 127345213
{'hecke_orbit_code': 13510798915688411, 'n': 72, 'trace_an': 0}
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id: 127345214
{'hecke_orbit_code': 13510798915688411, 'n': 73, 'trace_an': 15}
-
id: 127345215
{'hecke_orbit_code': 13510798915688411, 'n': 74, 'trace_an': -12}
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id: 127345216
{'hecke_orbit_code': 13510798915688411, 'n': 75, 'trace_an': 0}
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id: 127345217
{'hecke_orbit_code': 13510798915688411, 'n': 76, 'trace_an': 12}
-
id: 127345218
{'hecke_orbit_code': 13510798915688411, 'n': 77, 'trace_an': 0}
-
id: 127345219
{'hecke_orbit_code': 13510798915688411, 'n': 78, 'trace_an': 0}
-
id: 127345220
{'hecke_orbit_code': 13510798915688411, 'n': 79, 'trace_an': 8}
-
id: 127345221
{'hecke_orbit_code': 13510798915688411, 'n': 80, 'trace_an': 0}
-
id: 127345222
{'hecke_orbit_code': 13510798915688411, 'n': 81, 'trace_an': 0}
-
id: 127345223
{'hecke_orbit_code': 13510798915688411, 'n': 82, 'trace_an': -12}
-
id: 127345224
{'hecke_orbit_code': 13510798915688411, 'n': 83, 'trace_an': -12}
-
id: 127345225
{'hecke_orbit_code': 13510798915688411, 'n': 84, 'trace_an': 0}
-
id: 127345226
{'hecke_orbit_code': 13510798915688411, 'n': 85, 'trace_an': 0}
-
id: 127345227
{'hecke_orbit_code': 13510798915688411, 'n': 86, 'trace_an': 18}
-
id: 127345228
{'hecke_orbit_code': 13510798915688411, 'n': 87, 'trace_an': 0}
-
id: 127345229
{'hecke_orbit_code': 13510798915688411, 'n': 88, 'trace_an': 0}
-
id: 127345230
{'hecke_orbit_code': 13510798915688411, 'n': 89, 'trace_an': -15}
-
id: 127345231
{'hecke_orbit_code': 13510798915688411, 'n': 90, 'trace_an': 0}
-
id: 127345232
{'hecke_orbit_code': 13510798915688411, 'n': 91, 'trace_an': 0}
-
id: 127345233
{'hecke_orbit_code': 13510798915688411, 'n': 92, 'trace_an': -14}
-
id: 127345234
{'hecke_orbit_code': 13510798915688411, 'n': 93, 'trace_an': 0}
-
id: 127345235
{'hecke_orbit_code': 13510798915688411, 'n': 94, 'trace_an': 6}
-
id: 127345236
{'hecke_orbit_code': 13510798915688411, 'n': 95, 'trace_an': 0}
-
id: 127345237
{'hecke_orbit_code': 13510798915688411, 'n': 96, 'trace_an': 0}
-
id: 127345238
{'hecke_orbit_code': 13510798915688411, 'n': 97, 'trace_an': -3}
-
id: 127345239
{'hecke_orbit_code': 13510798915688411, 'n': 98, 'trace_an': 0}
-
id: 127345240
{'hecke_orbit_code': 13510798915688411, 'n': 99, 'trace_an': 0}
-
id: 127345241
{'hecke_orbit_code': 13510798915688411, 'n': 100, 'trace_an': -10}