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mf_newforms • Show schema
Hide schema
{'Nk2': 152100, 'analytic_conductor': 303.63115368591866, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [13, 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': [38025, 1, [29576, 9127, 37351], [35, 35, 35]], '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': 35, 'hecke_orbit_code': 153122387364189321, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'label': '38025.2.a.bi', 'level': 38025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{4}-4q^{7}+4q^{16}-7q^{19}+8q^{28}+\\cdots', 'related_objects': ['EllipticCurve/Q/38025/bi'], 'relative_dim': 1, 'rm_discs': [], 'space_label': '38025.2.a', 'trace_display': [0, 0, 0, -4], 'traces': [1, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -7, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13, 0, 0, -8, 0, 0, -16, 0, 0, 0, 0, 0, -7, 0, 0, 14, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 38025.2.a.bi does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [113, 120, 133, 124, 172, 171, 185, 192], 'ALdims_eis_new': [0, 0, 0, 0, 5, 6, 10, 12], 'ALdims_eis_old': [41, 42, 42, 42, 37, 36, 32, 30], 'ALdims_old': [539, 549, 532, 535, 500, 483, 473, 472], 'Nk2': 152100, 'analytic_conductor': 303.63115368591866, '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': [38025, 1, [29576, 9127, 37351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5293, 'dim': 1210, 'eis_dim': 335, 'eis_new_dim': 33, 'hecke_orbit_code': 33592457, '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, 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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 16, 16, 16, 16, 16, 16, 18, 18, 18, 18, 18, 18, 24, 24, 24, 24, 24, 24, 24], 'label': '38025.2.a', 'level': 38025, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 5628, 'mf_new_dim': 1243, 'num_forms': 252, 'plus_dim': 593, 'prim_orbit_index': 1, 'relative_dim': 1210, 'sturm_bound': 10920, 'trace_display': [0, 0, 0, -4], 'traces': [1210, 0, 0, 1188, 0, 0, -4, 0, 0, 0, -4, 0, 0, -14, 0, 1148, -2, 0, -12, 0, 0, -18, 6, 0, 0, 0, 0, -20, 0, 0, 12, 0, 0, 8, 0, 0, -12, 16, 0, 0, 0, 0, 6, 16, 0, -4, 8, 0, 1100, 0, 0, 0, -32, 0, 0, -76, 0, 4, 0, 0, 10, -22, 0, 1070, 0, 0, 4, -24, 0, 0, 0, 0, -20, -34, 0, -64, -4, 0, -18, 0, 0, 74, 32, 0, 0, -32, 0, -46, -16, 0, 0, -28, 0, 50, 0, 0, -32, 24, 0, 0, 36, 0, 2, 0, 0, -4, 8, 0, -8, 0, 0, -28, -8, 0, 0, -46, 0, 16, -56, 0, 1010, -84, 0, 100, 0, 0, 36, -112, 0, 0, 94, 0, 86, 180, 0, 40, 36, 0, 72, 0, 0, -2, 0, 0, 0, -110, 0, -84, -4, 0, 36, 100, 0, 92, 0, 0, 108, -32, 0, 0, -40, 0, 44, -28, 0, 62, 72, 0, 0, 0, 0, 106, 96, 0, 0, -104, 0, 42, 10, 0, 102, 0, 0, 56, 0, 0, 16, 32, 0, 0, -22, 0, 8, 38, 0, 842, 12, 0, 52, 0, 0, 56, 56, 0, 0, 124, 0, 0, 70, 0, -32, -184, 0, 20, 0, 0, 6, -4, 0, 0, 0, 0, 36, -176, 0, -8, 64, 0, 28, 0, 0, -60, 114, 0, 0, 0, 0, -76, 16, 0, -8, -20, 0, -40, 0, 0, 0, -76, 0, 0, 0, 0, 60, -84, 0, 784, -28, 0, 98, 0, 0, -24, -24, 0, 0, -84, 0, 28, 72, 0, 20, -18, 0, -50, 0, 0, 20, 96, 0, 0, -4, 0, 24, -140, 0, 0, -58, 0, 984, 0, 0, -12, -56, 0, 0, -18, 0, -208, 0, 0, -56, -212, 0, -248, 0, 0, 28, -258, 0, 0, 66, 0, 108, 128, 0, -142, -192, 0, -140, 0, 0, 178, -72, 0, 0, -178, 0, 68, 80, 0, 20, 88, 0, 132, 0, 0, -56, 0, 0, 0, 56, 0, -8, -144, 0, 192, 278, 0, -64, 0, 0, -118, 24, 0, 0, 52, 0, 24, -112, 0, 778, 172, 0, 0, 0, 0, 4, -20, 0, 0, 152, 0, 40, 266, 0, 158, 0, 0, 24, 0, 0, 128, 0, 0, 0, -70, 0, -16, 42, 0, -28, 56, 0, 52, 0, 0, -20, 80, 0, 0, 64, 0, 0, 216, 0, 202, -314, 0, 36, 0, 0, 62, -42, 0, 0, 0, 0, 4, 274, 0, 40, 216, 0, 0, 0, 0, -64, -66, 0, 0, -220, 0, 34, 208, 0, 132, -28, 0, 4, 0, 0, 0, -72, 0, 0, 66, 0, -212, 12, 0, -108, -160, 0, 80, 0, 0, -120, 192, 0, 0, -60, 0, 20, -316, 0, -256, -184, 0, 28, 0, 0, 230, 172, 0, 0, -36, 0, 94, -84, 0, 0, 4, 0, 666, 0, 0, -124, -20, 0, 0, -118, 0, 16, 0, 0, 452, 28, 0, -244, 0, 0, 120, -116, 0, 0, -190, 0, 92, 100, 0, 68, -368, 0, 300, 0, 0, 68, -224, 0, 0, 72, 0, 106, 476, 0, 112, 160, 0, 864, 0, 0, 184, 0, 0, 0, 22, 0, 88, -228, 0, 212, 236, 0, 280, 0, 0, 148, -52, 0, 0, -124, 0, 8, 296, 0, 218, 88, 0, 0, 0, 0, -12, 180, 0, 0, 164, 0, -32, 198, 0, 170, 0, 0, 224, 0, 0, 180, -64, 0, 0, 200, 0, 48, 240, 0, -256, -64, 0, -54, 0, 0, -228, 124, 0, 0, 20, 0, 0, 196, 0, -52, -562, 0, 428, 0, 0, 22, -230, 0, 0, 0, 0, -120, -68, 0, 388, 148, 0, -232, 0, 0, 64, -4, 0, 0, 380, 0, 390, 360, 0, 52, -56, 0, -282, 0, 0, 0, -112, 0, 0, 198, 0, 68, -176, 0, 70, -272, 0, 40, 0, 0, 164, -12, 0, 0, -28, 0, -16, -278, 0, 36, 244, 0, -68, 0, 0, 42, 160, 0, 0, -152, 0, -186, -84, 0, 0, 120, 0, 174, 0, 0, -108, -136, 0, 0, 82, 0, 310, 0, 0, -96, 120, 0, 244, 0, 0, -160, -124, 0, 0, 314, 0, 324, -320, 0, -64, -256, 0, -32, 0, 0, 172, 4, 0, 0, 22, 0, 64, 96, 0, 44, 116, 0, 496, 0, 0, 174, 0, 0, 0, -330, 0, -96, -168, 0, 184, 14, 0, -56, 0, 0, 326, 24, 0, 0, 164, 0, -40, -84, 0, -184, 376, 0, 0, 0, 0, 306, 18, 0, 0, -8, 0, -20, 194, 0, -212, 0, 0, 220, 0, 0, 104, -32, 0, 0, 348, 0, 216, 68, 0, 78, 96, 0, 368, 0, 0, -12, -76, 0, 0, -220, 0, 0, 142, 0, 182, -14, 0, 52, 0, 0, -240, 246, 0, 0, 0, 0, 392, 246, 0, -144, 440, 0, 344, 0, 0, -172, -52, 0, 0, -132, 0, 34, 656, 0, 516, -16, 0, 2, 0, 0, 0, 242, 0, 0, 310, 0, 352, -404, 0, 982, -190, 0, -624, 0, 0, 100, -152, 0, 0, -76, 0, 76, -320, 0, -152, 156, 0, -144, 0, 0, 72, 128, 0, 0, -224, 0, 318, -264, 0, 0, -136, 0, -128, 0, 0, -24, 112, 0, 0, -212, 0, 10, 0, 0, -280, 8, 0, 140, 0, 0, -60, 122, 0, 0, -642, 0, 4, -52, 0, 432, -352, 0, 164, 0, 0, 298, -224, 0, 0, 46, 0, 242, 488, 0, 268, 144, 0, -202, 0, 0, -118, 0, 0, 0, -300, 0, -44, -208, 0, -96, 574, 0, 332, 0, 0, 4, -112, 0, 0, -48, 0, 64, 8, 0, -670, 56, 0, 0, 0, 0, 110, 74, 0, 0, -408, 0, 238, 316, 0, 708, 0, 0, -156, 0, 0, 164, -116, 0, 0, -450, 0, -104, -130, 0, -152, 88, 0, -54, 0, 0, -224, -120, 0, 0, -20, 0, 0, -366, 0, 106, -56, 0, -128, 0, 0, 172, -202, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 38025.2.a.bi does not appear in mf_twists_nf
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hecke_orbit_code 153122387364189321 does not appear in mf_hecke_charpolys
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label 38025.2.a.bi does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 167293142
{'hecke_orbit_code': 153122387364189321, 'n': 1, 'trace_an': 1}
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id: 167293143
{'hecke_orbit_code': 153122387364189321, 'n': 2, 'trace_an': 0}
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id: 167293144
{'hecke_orbit_code': 153122387364189321, 'n': 3, 'trace_an': 0}
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id: 167293145
{'hecke_orbit_code': 153122387364189321, 'n': 4, 'trace_an': -2}
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id: 167293146
{'hecke_orbit_code': 153122387364189321, 'n': 5, 'trace_an': 0}
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id: 167293147
{'hecke_orbit_code': 153122387364189321, 'n': 6, 'trace_an': 0}
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id: 167293148
{'hecke_orbit_code': 153122387364189321, 'n': 7, 'trace_an': -4}
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id: 167293149
{'hecke_orbit_code': 153122387364189321, 'n': 8, 'trace_an': 0}
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id: 167293150
{'hecke_orbit_code': 153122387364189321, 'n': 9, 'trace_an': 0}
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id: 167293151
{'hecke_orbit_code': 153122387364189321, 'n': 10, 'trace_an': 0}
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id: 167293152
{'hecke_orbit_code': 153122387364189321, 'n': 11, 'trace_an': 0}
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id: 167293153
{'hecke_orbit_code': 153122387364189321, 'n': 12, 'trace_an': 0}
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id: 167293154
{'hecke_orbit_code': 153122387364189321, 'n': 13, 'trace_an': 0}
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id: 167293155
{'hecke_orbit_code': 153122387364189321, 'n': 14, 'trace_an': 0}
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id: 167293156
{'hecke_orbit_code': 153122387364189321, 'n': 15, 'trace_an': 0}
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id: 167293157
{'hecke_orbit_code': 153122387364189321, 'n': 16, 'trace_an': 4}
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id: 167293158
{'hecke_orbit_code': 153122387364189321, 'n': 17, 'trace_an': 0}
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id: 167293159
{'hecke_orbit_code': 153122387364189321, 'n': 18, 'trace_an': 0}
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id: 167293160
{'hecke_orbit_code': 153122387364189321, 'n': 19, 'trace_an': -7}
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id: 167293161
{'hecke_orbit_code': 153122387364189321, 'n': 20, 'trace_an': 0}
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id: 167293162
{'hecke_orbit_code': 153122387364189321, 'n': 21, 'trace_an': 0}
-
id: 167293163
{'hecke_orbit_code': 153122387364189321, 'n': 22, 'trace_an': 0}
-
id: 167293164
{'hecke_orbit_code': 153122387364189321, 'n': 23, 'trace_an': 0}
-
id: 167293165
{'hecke_orbit_code': 153122387364189321, 'n': 24, 'trace_an': 0}
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id: 167293166
{'hecke_orbit_code': 153122387364189321, 'n': 25, 'trace_an': 0}
-
id: 167293167
{'hecke_orbit_code': 153122387364189321, 'n': 26, 'trace_an': 0}
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id: 167293168
{'hecke_orbit_code': 153122387364189321, 'n': 27, 'trace_an': 0}
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id: 167293169
{'hecke_orbit_code': 153122387364189321, 'n': 28, 'trace_an': 8}
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id: 167293170
{'hecke_orbit_code': 153122387364189321, 'n': 29, 'trace_an': 0}
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id: 167293171
{'hecke_orbit_code': 153122387364189321, 'n': 30, 'trace_an': 0}
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id: 167293172
{'hecke_orbit_code': 153122387364189321, 'n': 31, 'trace_an': -7}
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id: 167293173
{'hecke_orbit_code': 153122387364189321, 'n': 32, 'trace_an': 0}
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id: 167293174
{'hecke_orbit_code': 153122387364189321, 'n': 33, 'trace_an': 0}
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id: 167293175
{'hecke_orbit_code': 153122387364189321, 'n': 34, 'trace_an': 0}
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id: 167293176
{'hecke_orbit_code': 153122387364189321, 'n': 35, 'trace_an': 0}
-
id: 167293177
{'hecke_orbit_code': 153122387364189321, 'n': 36, 'trace_an': 0}
-
id: 167293178
{'hecke_orbit_code': 153122387364189321, 'n': 37, 'trace_an': -10}
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id: 167293179
{'hecke_orbit_code': 153122387364189321, 'n': 38, 'trace_an': 0}
-
id: 167293180
{'hecke_orbit_code': 153122387364189321, 'n': 39, 'trace_an': 0}
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id: 167293181
{'hecke_orbit_code': 153122387364189321, 'n': 40, 'trace_an': 0}
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id: 167293182
{'hecke_orbit_code': 153122387364189321, 'n': 41, 'trace_an': 0}
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id: 167293183
{'hecke_orbit_code': 153122387364189321, 'n': 42, 'trace_an': 0}
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id: 167293184
{'hecke_orbit_code': 153122387364189321, 'n': 43, 'trace_an': 8}
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id: 167293185
{'hecke_orbit_code': 153122387364189321, 'n': 44, 'trace_an': 0}
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id: 167293186
{'hecke_orbit_code': 153122387364189321, 'n': 45, 'trace_an': 0}
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id: 167293187
{'hecke_orbit_code': 153122387364189321, 'n': 46, 'trace_an': 0}
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id: 167293188
{'hecke_orbit_code': 153122387364189321, 'n': 47, 'trace_an': 0}
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id: 167293189
{'hecke_orbit_code': 153122387364189321, 'n': 48, 'trace_an': 0}
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id: 167293190
{'hecke_orbit_code': 153122387364189321, 'n': 49, 'trace_an': 9}
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id: 167293191
{'hecke_orbit_code': 153122387364189321, 'n': 50, 'trace_an': 0}
-
id: 167293192
{'hecke_orbit_code': 153122387364189321, 'n': 51, 'trace_an': 0}
-
id: 167293193
{'hecke_orbit_code': 153122387364189321, 'n': 52, 'trace_an': 0}
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id: 167293194
{'hecke_orbit_code': 153122387364189321, 'n': 53, 'trace_an': 0}
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id: 167293195
{'hecke_orbit_code': 153122387364189321, 'n': 54, 'trace_an': 0}
-
id: 167293196
{'hecke_orbit_code': 153122387364189321, 'n': 55, 'trace_an': 0}
-
id: 167293197
{'hecke_orbit_code': 153122387364189321, 'n': 56, 'trace_an': 0}
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id: 167293198
{'hecke_orbit_code': 153122387364189321, 'n': 57, 'trace_an': 0}
-
id: 167293199
{'hecke_orbit_code': 153122387364189321, 'n': 58, 'trace_an': 0}
-
id: 167293200
{'hecke_orbit_code': 153122387364189321, 'n': 59, 'trace_an': 0}
-
id: 167293201
{'hecke_orbit_code': 153122387364189321, 'n': 60, 'trace_an': 0}
-
id: 167293202
{'hecke_orbit_code': 153122387364189321, 'n': 61, 'trace_an': -13}
-
id: 167293203
{'hecke_orbit_code': 153122387364189321, 'n': 62, 'trace_an': 0}
-
id: 167293204
{'hecke_orbit_code': 153122387364189321, 'n': 63, 'trace_an': 0}
-
id: 167293205
{'hecke_orbit_code': 153122387364189321, 'n': 64, 'trace_an': -8}
-
id: 167293206
{'hecke_orbit_code': 153122387364189321, 'n': 65, 'trace_an': 0}
-
id: 167293207
{'hecke_orbit_code': 153122387364189321, 'n': 66, 'trace_an': 0}
-
id: 167293208
{'hecke_orbit_code': 153122387364189321, 'n': 67, 'trace_an': -16}
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id: 167293209
{'hecke_orbit_code': 153122387364189321, 'n': 68, 'trace_an': 0}
-
id: 167293210
{'hecke_orbit_code': 153122387364189321, 'n': 69, 'trace_an': 0}
-
id: 167293211
{'hecke_orbit_code': 153122387364189321, 'n': 70, 'trace_an': 0}
-
id: 167293212
{'hecke_orbit_code': 153122387364189321, 'n': 71, 'trace_an': 0}
-
id: 167293213
{'hecke_orbit_code': 153122387364189321, 'n': 72, 'trace_an': 0}
-
id: 167293214
{'hecke_orbit_code': 153122387364189321, 'n': 73, 'trace_an': -7}
-
id: 167293215
{'hecke_orbit_code': 153122387364189321, 'n': 74, 'trace_an': 0}
-
id: 167293216
{'hecke_orbit_code': 153122387364189321, 'n': 75, 'trace_an': 0}
-
id: 167293217
{'hecke_orbit_code': 153122387364189321, 'n': 76, 'trace_an': 14}
-
id: 167293218
{'hecke_orbit_code': 153122387364189321, 'n': 77, 'trace_an': 0}
-
id: 167293219
{'hecke_orbit_code': 153122387364189321, 'n': 78, 'trace_an': 0}
-
id: 167293220
{'hecke_orbit_code': 153122387364189321, 'n': 79, 'trace_an': 17}
-
id: 167293221
{'hecke_orbit_code': 153122387364189321, 'n': 80, 'trace_an': 0}
-
id: 167293222
{'hecke_orbit_code': 153122387364189321, 'n': 81, 'trace_an': 0}
-
id: 167293223
{'hecke_orbit_code': 153122387364189321, 'n': 82, 'trace_an': 0}
-
id: 167293224
{'hecke_orbit_code': 153122387364189321, 'n': 83, 'trace_an': 0}
-
id: 167293225
{'hecke_orbit_code': 153122387364189321, 'n': 84, 'trace_an': 0}
-
id: 167293226
{'hecke_orbit_code': 153122387364189321, 'n': 85, 'trace_an': 0}
-
id: 167293227
{'hecke_orbit_code': 153122387364189321, 'n': 86, 'trace_an': 0}
-
id: 167293228
{'hecke_orbit_code': 153122387364189321, 'n': 87, 'trace_an': 0}
-
id: 167293229
{'hecke_orbit_code': 153122387364189321, 'n': 88, 'trace_an': 0}
-
id: 167293230
{'hecke_orbit_code': 153122387364189321, 'n': 89, 'trace_an': 0}
-
id: 167293231
{'hecke_orbit_code': 153122387364189321, 'n': 90, 'trace_an': 0}
-
id: 167293232
{'hecke_orbit_code': 153122387364189321, 'n': 91, 'trace_an': 0}
-
id: 167293233
{'hecke_orbit_code': 153122387364189321, 'n': 92, 'trace_an': 0}
-
id: 167293234
{'hecke_orbit_code': 153122387364189321, 'n': 93, 'trace_an': 0}
-
id: 167293235
{'hecke_orbit_code': 153122387364189321, 'n': 94, 'trace_an': 0}
-
id: 167293236
{'hecke_orbit_code': 153122387364189321, 'n': 95, 'trace_an': 0}
-
id: 167293237
{'hecke_orbit_code': 153122387364189321, 'n': 96, 'trace_an': 0}
-
id: 167293238
{'hecke_orbit_code': 153122387364189321, 'n': 97, 'trace_an': 5}
-
id: 167293239
{'hecke_orbit_code': 153122387364189321, 'n': 98, 'trace_an': 0}
-
id: 167293240
{'hecke_orbit_code': 153122387364189321, 'n': 99, 'trace_an': 0}
-
id: 167293241
{'hecke_orbit_code': 153122387364189321, 'n': 100, 'trace_an': 0}