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mf_newforms • Show schema
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{'Nk2': 101640, 'analytic_conductor': 202.89987153607345, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [7, 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': [25410, 1, [8471, 15247, 14521, 7141], [78, 78, 78, 78]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': -1, 'hecke_orbit': 78, 'hecke_orbit_code': 346777171341108034, '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': '25410.2.a.cz', 'level': 25410, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '25410.2.a', 'trace_display': [-2, -2, -2, -2], 'traces': [2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 0, -2, -2, 2, 2, 2, 8, -2, 10, -2, 2, 0, -4, 2, 2, 2, -2, -2, 2, -2, 16, -2, 0, -8, 2, 2, 8, -10, 2, 2, -2, -2, 0, 0, -2, 4, -2, -2, 2, -2, -8, -2, -24, 2, 0, 2, -10, -2, 2, 2, -20, -16, -2, 2, 2, 0, -6, 8, 4, -2, -2, -2, -16, -8, -2, 10, 0, -2, -26, -2, 2, 2, 10, 2, -8, 0, -2, 0, 0, 2, 2, -4, -16, 2, -10, 2, -6, -2, 0, 2], 'weight': 2, 'weight_parity': 1}
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label 25410.2.a.cz does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [17, 10, 12, 15, 13, 15, 12, 15, 13, 15, 12, 15, 11, 15, 18, 10, 12, 15, 13, 15, 12, 15, 17, 10, 12, 15, 17, 10, 18, 10, 7, 20], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [164, 197, 192, 173, 185, 178, 180, 181, 179, 183, 186, 178, 187, 179, 180, 181, 180, 181, 185, 180, 192, 173, 175, 187, 180, 182, 175, 188, 186, 177, 179, 182], 'Nk2': 101640, 'analytic_conductor': 202.89987153607345, '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': [25410, 1, [8471, 15247, 14521, 7141], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 6241, 'dim': 436, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33579842, '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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8], 'label': '25410.2.a', 'level': 25410, '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, 7, 11], 'level_radical': 2310, 'mf_dim': 6432, 'mf_new_dim': 436, 'num_forms': 171, 'plus_dim': 196, 'prim_orbit_index': 1, 'relative_dim': 436, 'sturm_bound': 12672, 'trace_display': [0, 0, 0, 0], 'traces': [436, 0, 0, 436, 0, 0, 0, 0, 436, 0, 0, 0, 16, 0, 0, 436, 0, 0, -16, 0, 0, 0, 16, 0, 436, 16, 0, 0, -16, 4, 56, 0, 0, 8, 0, 436, -8, 0, 8, 0, -16, -4, 0, 0, 0, -16, 0, 0, 436, 0, 8, 16, -16, 0, 0, 0, 8, 16, -32, 0, 0, -32, 0, 436, -16, 0, -32, 0, -16, -4, -40, 0, -16, -24, 0, -16, 0, -16, -32, 0, 436, 0, -32, 0, 8, 8, -16, 0, 0, 0, -8, 16, 8, -24, -8, 0, -16, 0, 0, 436, 32, -24, 32, 16, 4, -8, 0, 0, -8, 0, 8, 0, 16, -8, 0, -16, 16, -48, -24, 4, 0, 0, 0, 56, 0, 0, -16, 0, 8, 8, -32, 0, 8, -24, 0, 8, 16, 0, 32, 0, 24, -40, 0, 436, -8, 16, 0, -8, -32, 0, -16, 0, 0, 0, -32, 8, 64, -16, 16, 0, -16, 0, 16, -16, 0, 16, 128, -4, 524, -8, -16, 0, 64, 8, 0, 0, 16, 16, 64, 0, 48, -16, 16, -16, 48, -16, 0, 0, 0, 8, 24, 0, 40, 0, -16, 436, 16, 0, 8, 0, 56, 0, -32, 8, -8, 48, 16, 16, 0, -4, 16, -16, 32, 16, 16, 0, -8, 80, -8, 0, 80, -16, 48, 0, 436, 24, -96, 8, 80, 16, 0, 16, -112, 16, 16, -32, 32, 8, 40, 0, -56, 0, 0, 0, 0, -8, 80, -32, 0, 0, 64, 0, 0, 64, -8, 436, 160, -16, 8, -16, -16, 16, 0, 0, 80, 24, 64, -32, 64, 4, 40, 0, -8, 24, 0, -16, 40, 96, 56, -4, 136, 16, 0, -40, 0, 0, 32, 0, 524, -16, 88, -16, 128, 0, 0, -24, 0, 0, 0, 0, -8, 48, 32, -16, 8, 8, 64, 0, 48, 24, 160, -16, 192, 0, 0, -32, 96, 16, 0, 0, -48, -32, 96, 436, 16, 40, 16, 0, 24, 0, -16, -32, -8, -24, 48, 0, 136, 128, 32, 8, 0, 0, 0, 8, 16, 144, -128, -16, 48, 0, 8, 0, 64, -32, -16, 0, 24, -24, -24, 0, 596, 96, 0, -8, 32, -8, 176, 16, -16, -8, -48, 8, 120, 0, 0, -24, 224, -4, 48, -8, 48, 104, 256, 0, 0, 112, 0, -16, 128, 16, 160, 0, -48, 104, -32, 0, 128, 160, 16, 436, 136, 16, 16, 32, 0, -24, 0, -24, 88, 48, -16, 32, 64, -16, 16, 16, 72, 0, -32, 4, 216, 128, 0, -8, 0, 48, 48, 0, 0, 56, 88, 0, 240, 48, 0, -8, -32, -32, 56, 0, 436, 48, 224, 8, -56, 144, -80, 0, 88, 0, 0, 16, 144, 32, -16, -8, -8, 224, 8, 0, 224, 0, 208, -16, 32, 120, 128, 16, -24, -40, 168, -48, 0, 32, -16, -24, -16, 56, -192, 4, 240, 96, 0, 0, 16, 0, 208, 0, 104, 0, 96, 0, 208, -16, 0, 56, -32, 48, 16, 0, -56, 0, 160, 0, -8, 0, 128, -16, 32, 0, 40, 0, 8, -24, 32, 8, 0, -32, 64, 8, 64, 16, 0, -32, 0, 64, -176, 0, 484, 16, -32, 8, 128, -56, -16, -24, 144, 96, 0, 0, 120, 128, 160, 8, -80, 8, 48, 16, 0, 0, 144, 0, 32, 56, -8, 32, 64, -32, 80, 0, 0, 48, -96, 24, 96, 16, 0, -40, -216, -16, 80, 0, 64, -24, 16, 436, 32, -32, 112, -8, 0, -16, 0, 16, -16, 224, -160, 0, 144, -16, 112, -8, -32, 0, 8, -32, 104, 32, -40, 0, 104, -32, -32, -16, 0, 24, 144, 0, -24, -16, -176, 0, 40, 96, 64, 0, 192, 112, 48, -32, -16, -80, -16, 8, 436, 80, 0, 64, 160, -4, 64, -16, 144, 8, -64, 16, 16, 0, -40, 0, 216, 16, 320, -16, 8, -32, 32, 0, 0, 16, 24, 16, 96, 80, 16, -16, -16, 32, -16, 0, 96, 32, -32, 16, -16, -24, 32, 128, 96, 8, 0, -4, 184, -48, 0, 524, 160, -64, 8, -8, 16, 0, 64, -16, 80, 0, 112, 0, 96, 16, 128, 64, 0, 80, -120, 8, -16, 128, 96, 0, 80, -16, 80, 0, -8, -40, 0, 16, 104, 0, -32, 16, 256, -16, 0, 64, -96, -24, 80, 0, -48, -96, 80, 48, -16, 0, 80, -16, 436, 24, 160, 16, 0, -64, 0, -16, 0, 0, -112, 48, 192, -16, 0, -16, -8, -24, -32, 0, 16, 4, 288, 0, 0, -48, 0, 0, 392, -176, 0, 8, -32, -32, -16, 24, 8, -72, -160, 0, -200, 0, -8, 40, 256, 8, 56, 0, -16, 48, -16, -16, 0, 64, -16, 436, 48, 48, 64, 16, -16, 64, -32, 0, -96, 160, 56, 8, -128, 0, -32, 0, 0, -128, 0, 56, 0, -32, 32, 0, 40, 0, 192, -32, 40, 0, -48, 8, 144, -64, -8, -8, -48, -48, 240, 48, 0, 32, 96, 16, 64, 16, 24, 16, 0, 72, -16, 0, 8, 160, 144, -4, 572, 208, -64, 16, 0, -24, 0, -16, 48, 8, 32, 32, -192, -8, -8, 16, -32, 0, 288, 16, 40, -40, -80, 0, 40, 128, 160, -8, 0, 16, -48, 80, -16, -32, 0, -8, -24, 0, -144, 0, 240, 0, 192, 80, -16, -80, 192, -16, 32, 64, 0, 48, -144, 136, 24, 0, -96, 192, -384, 436, -112, 0, 16, 24, 40, 96, 256, -96, 32, 16, 56, 8, 0, 0, 64, 80, 16, -24, -96, 16, 16, 160, -128, 0, -8, 48, 32, 16, 224, 8, -16, -112, -48, 80, 0, 16, -64, -32, 104, 16, -192, 32, -320, -32, 4, 0, 128, 32, 272, 0, 160, 8, -96, -8, -64, 40, 0, 112, -80, 0, 532, 0, 0, -56, 64, 0, 32, 0, -16, -24, 96, 0, -56, 32, 8, 0, 80, 48, 0, 0, -8, -168, -192, -8, -64, 16, -16, 80, 160, 0, 0, -32, 112, 0, 80, 0, -64, 144, 8, 0], 'weight': 2, 'weight_parity': 1}
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source_label 25410.2.a.cz does not appear in mf_twists_nf
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hecke_orbit_code 346777171341108034 does not appear in mf_hecke_charpolys
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label 25410.2.a.cz does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 179124142
{'hecke_orbit_code': 346777171341108034, 'n': 1, 'trace_an': 2}
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id: 179124143
{'hecke_orbit_code': 346777171341108034, 'n': 2, 'trace_an': -2}
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id: 179124144
{'hecke_orbit_code': 346777171341108034, 'n': 3, 'trace_an': -2}
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id: 179124145
{'hecke_orbit_code': 346777171341108034, 'n': 4, 'trace_an': 2}
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id: 179124146
{'hecke_orbit_code': 346777171341108034, 'n': 5, 'trace_an': -2}
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id: 179124147
{'hecke_orbit_code': 346777171341108034, 'n': 6, 'trace_an': 2}
-
id: 179124148
{'hecke_orbit_code': 346777171341108034, 'n': 7, 'trace_an': -2}
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id: 179124149
{'hecke_orbit_code': 346777171341108034, 'n': 8, 'trace_an': -2}
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id: 179124150
{'hecke_orbit_code': 346777171341108034, 'n': 9, 'trace_an': 2}
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id: 179124151
{'hecke_orbit_code': 346777171341108034, 'n': 10, 'trace_an': 2}
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id: 179124152
{'hecke_orbit_code': 346777171341108034, 'n': 11, 'trace_an': 0}
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id: 179124153
{'hecke_orbit_code': 346777171341108034, 'n': 12, 'trace_an': -2}
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id: 179124154
{'hecke_orbit_code': 346777171341108034, 'n': 13, 'trace_an': -2}
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id: 179124155
{'hecke_orbit_code': 346777171341108034, 'n': 14, 'trace_an': 2}
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id: 179124156
{'hecke_orbit_code': 346777171341108034, 'n': 15, 'trace_an': 2}
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id: 179124157
{'hecke_orbit_code': 346777171341108034, 'n': 16, 'trace_an': 2}
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id: 179124158
{'hecke_orbit_code': 346777171341108034, 'n': 17, 'trace_an': 8}
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id: 179124159
{'hecke_orbit_code': 346777171341108034, 'n': 18, 'trace_an': -2}
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id: 179124160
{'hecke_orbit_code': 346777171341108034, 'n': 19, 'trace_an': 10}
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id: 179124161
{'hecke_orbit_code': 346777171341108034, 'n': 20, 'trace_an': -2}
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id: 179124162
{'hecke_orbit_code': 346777171341108034, 'n': 21, 'trace_an': 2}
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id: 179124163
{'hecke_orbit_code': 346777171341108034, 'n': 22, 'trace_an': 0}
-
id: 179124164
{'hecke_orbit_code': 346777171341108034, 'n': 23, 'trace_an': -4}
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id: 179124165
{'hecke_orbit_code': 346777171341108034, 'n': 24, 'trace_an': 2}
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id: 179124166
{'hecke_orbit_code': 346777171341108034, 'n': 25, 'trace_an': 2}
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id: 179124167
{'hecke_orbit_code': 346777171341108034, 'n': 26, 'trace_an': 2}
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id: 179124168
{'hecke_orbit_code': 346777171341108034, 'n': 27, 'trace_an': -2}
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id: 179124169
{'hecke_orbit_code': 346777171341108034, 'n': 28, 'trace_an': -2}
-
id: 179124170
{'hecke_orbit_code': 346777171341108034, 'n': 29, 'trace_an': 2}
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id: 179124171
{'hecke_orbit_code': 346777171341108034, 'n': 30, 'trace_an': -2}
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id: 179124172
{'hecke_orbit_code': 346777171341108034, 'n': 31, 'trace_an': 16}
-
id: 179124173
{'hecke_orbit_code': 346777171341108034, 'n': 32, 'trace_an': -2}
-
id: 179124174
{'hecke_orbit_code': 346777171341108034, 'n': 33, 'trace_an': 0}
-
id: 179124175
{'hecke_orbit_code': 346777171341108034, 'n': 34, 'trace_an': -8}
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id: 179124176
{'hecke_orbit_code': 346777171341108034, 'n': 35, 'trace_an': 2}
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id: 179124177
{'hecke_orbit_code': 346777171341108034, 'n': 36, 'trace_an': 2}
-
id: 179124178
{'hecke_orbit_code': 346777171341108034, 'n': 37, 'trace_an': 8}
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id: 179124179
{'hecke_orbit_code': 346777171341108034, 'n': 38, 'trace_an': -10}
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id: 179124180
{'hecke_orbit_code': 346777171341108034, 'n': 39, 'trace_an': 2}
-
id: 179124181
{'hecke_orbit_code': 346777171341108034, 'n': 40, 'trace_an': 2}
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id: 179124182
{'hecke_orbit_code': 346777171341108034, 'n': 41, 'trace_an': -2}
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id: 179124183
{'hecke_orbit_code': 346777171341108034, 'n': 42, 'trace_an': -2}
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id: 179124184
{'hecke_orbit_code': 346777171341108034, 'n': 43, 'trace_an': 0}
-
id: 179124185
{'hecke_orbit_code': 346777171341108034, 'n': 44, 'trace_an': 0}
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id: 179124186
{'hecke_orbit_code': 346777171341108034, 'n': 45, 'trace_an': -2}
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id: 179124187
{'hecke_orbit_code': 346777171341108034, 'n': 46, 'trace_an': 4}
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id: 179124188
{'hecke_orbit_code': 346777171341108034, 'n': 47, 'trace_an': -2}
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id: 179124189
{'hecke_orbit_code': 346777171341108034, 'n': 48, 'trace_an': -2}
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id: 179124190
{'hecke_orbit_code': 346777171341108034, 'n': 49, 'trace_an': 2}
-
id: 179124191
{'hecke_orbit_code': 346777171341108034, 'n': 50, 'trace_an': -2}
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id: 179124192
{'hecke_orbit_code': 346777171341108034, 'n': 51, 'trace_an': -8}
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id: 179124193
{'hecke_orbit_code': 346777171341108034, 'n': 52, 'trace_an': -2}
-
id: 179124194
{'hecke_orbit_code': 346777171341108034, 'n': 53, 'trace_an': -24}
-
id: 179124195
{'hecke_orbit_code': 346777171341108034, 'n': 54, 'trace_an': 2}
-
id: 179124196
{'hecke_orbit_code': 346777171341108034, 'n': 55, 'trace_an': 0}
-
id: 179124197
{'hecke_orbit_code': 346777171341108034, 'n': 56, 'trace_an': 2}
-
id: 179124198
{'hecke_orbit_code': 346777171341108034, 'n': 57, 'trace_an': -10}
-
id: 179124199
{'hecke_orbit_code': 346777171341108034, 'n': 58, 'trace_an': -2}
-
id: 179124200
{'hecke_orbit_code': 346777171341108034, 'n': 59, 'trace_an': 2}
-
id: 179124201
{'hecke_orbit_code': 346777171341108034, 'n': 60, 'trace_an': 2}
-
id: 179124202
{'hecke_orbit_code': 346777171341108034, 'n': 61, 'trace_an': -20}
-
id: 179124203
{'hecke_orbit_code': 346777171341108034, 'n': 62, 'trace_an': -16}
-
id: 179124204
{'hecke_orbit_code': 346777171341108034, 'n': 63, 'trace_an': -2}
-
id: 179124205
{'hecke_orbit_code': 346777171341108034, 'n': 64, 'trace_an': 2}
-
id: 179124206
{'hecke_orbit_code': 346777171341108034, 'n': 65, 'trace_an': 2}
-
id: 179124207
{'hecke_orbit_code': 346777171341108034, 'n': 66, 'trace_an': 0}
-
id: 179124208
{'hecke_orbit_code': 346777171341108034, 'n': 67, 'trace_an': -6}
-
id: 179124209
{'hecke_orbit_code': 346777171341108034, 'n': 68, 'trace_an': 8}
-
id: 179124210
{'hecke_orbit_code': 346777171341108034, 'n': 69, 'trace_an': 4}
-
id: 179124211
{'hecke_orbit_code': 346777171341108034, 'n': 70, 'trace_an': -2}
-
id: 179124212
{'hecke_orbit_code': 346777171341108034, 'n': 71, 'trace_an': -2}
-
id: 179124213
{'hecke_orbit_code': 346777171341108034, 'n': 72, 'trace_an': -2}
-
id: 179124214
{'hecke_orbit_code': 346777171341108034, 'n': 73, 'trace_an': -16}
-
id: 179124215
{'hecke_orbit_code': 346777171341108034, 'n': 74, 'trace_an': -8}
-
id: 179124216
{'hecke_orbit_code': 346777171341108034, 'n': 75, 'trace_an': -2}
-
id: 179124217
{'hecke_orbit_code': 346777171341108034, 'n': 76, 'trace_an': 10}
-
id: 179124218
{'hecke_orbit_code': 346777171341108034, 'n': 77, 'trace_an': 0}
-
id: 179124219
{'hecke_orbit_code': 346777171341108034, 'n': 78, 'trace_an': -2}
-
id: 179124220
{'hecke_orbit_code': 346777171341108034, 'n': 79, 'trace_an': -26}
-
id: 179124221
{'hecke_orbit_code': 346777171341108034, 'n': 80, 'trace_an': -2}
-
id: 179124222
{'hecke_orbit_code': 346777171341108034, 'n': 81, 'trace_an': 2}
-
id: 179124223
{'hecke_orbit_code': 346777171341108034, 'n': 82, 'trace_an': 2}
-
id: 179124224
{'hecke_orbit_code': 346777171341108034, 'n': 83, 'trace_an': 10}
-
id: 179124225
{'hecke_orbit_code': 346777171341108034, 'n': 84, 'trace_an': 2}
-
id: 179124226
{'hecke_orbit_code': 346777171341108034, 'n': 85, 'trace_an': -8}
-
id: 179124227
{'hecke_orbit_code': 346777171341108034, 'n': 86, 'trace_an': 0}
-
id: 179124228
{'hecke_orbit_code': 346777171341108034, 'n': 87, 'trace_an': -2}
-
id: 179124229
{'hecke_orbit_code': 346777171341108034, 'n': 88, 'trace_an': 0}
-
id: 179124230
{'hecke_orbit_code': 346777171341108034, 'n': 89, 'trace_an': 0}
-
id: 179124231
{'hecke_orbit_code': 346777171341108034, 'n': 90, 'trace_an': 2}
-
id: 179124232
{'hecke_orbit_code': 346777171341108034, 'n': 91, 'trace_an': 2}
-
id: 179124233
{'hecke_orbit_code': 346777171341108034, 'n': 92, 'trace_an': -4}
-
id: 179124234
{'hecke_orbit_code': 346777171341108034, 'n': 93, 'trace_an': -16}
-
id: 179124235
{'hecke_orbit_code': 346777171341108034, 'n': 94, 'trace_an': 2}
-
id: 179124236
{'hecke_orbit_code': 346777171341108034, 'n': 95, 'trace_an': -10}
-
id: 179124237
{'hecke_orbit_code': 346777171341108034, 'n': 96, 'trace_an': 2}
-
id: 179124238
{'hecke_orbit_code': 346777171341108034, 'n': 97, 'trace_an': -6}
-
id: 179124239
{'hecke_orbit_code': 346777171341108034, 'n': 98, 'trace_an': -2}
-
id: 179124240
{'hecke_orbit_code': 346777171341108034, 'n': 99, 'trace_an': 0}
-
id: 179124241
{'hecke_orbit_code': 346777171341108034, 'n': 100, 'trace_an': 2}