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mf_newforms • Show schema
Hide schema
{'Nk2': 129960, 'analytic_conductor': 259.43395616713997, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [19, -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': [32490, 1, [3611, 12997, 32131], [146, 146, 146]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 4, 'field_disc_factorization': [[2, 2]], 'field_poly': [19, 0, -9, 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': 146, 'hecke_orbit_code': 653021946002308842, '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': '32490.2.a.fp', 'level': 32490, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'nf_label': '4.4.7600.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '32490.2.a', 'trace_display': [4, 0, 4, 6], 'traces': [4, 4, 0, 4, 4, 0, 6, 4, 0, 4, 2, 0, 0, 6, 0, 4, 8, 0, 0, 4, 0, 2, 0, 0, 4, 0, 0, 6, -4, 0, 16, 4, 0, 8, 6, 0, 2, 0, 0, 4, 10, 0, 8, 2, 0, 0, -4, 0, 4, 4, 0, 0, 8, 0, 2, 6, 0, -4, 20, 0, 12, 16, 0, 4, 0, 0, 12, 8, 0, 6, 8, 0, 4, 2, 0, 0, -16, 0, 16, 4, 0, 10, -4, 0, 8, 8, 0, 2, 2, 0, 8, 0, 0, -4, 0, 0, -16, 4, 0, 4], 'weight': 2, 'weight_parity': 1}
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label 32490.2.a.fp does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [24, 33, 32, 24, 40, 45, 41, 45, 32, 24, 24, 33, 40, 45, 49, 36], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20], 'ALdims_old': [382, 396, 393, 387, 385, 366, 374, 374, 383, 397, 391, 386, 375, 374, 376, 375], 'Nk2': 129960, 'analytic_conductor': 259.43395616713997, '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': [32490, 1, [3611, 12997, 32131], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 6681, 'dim': 567, 'eis_dim': 319, 'eis_new_dim': 0, 'hecke_orbit_code': 33586922, '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, 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, 4, 4, 4, 4, 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, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '32490.2.a', 'level': 32490, '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, 19], 'level_radical': 570, 'mf_dim': 7000, 'mf_new_dim': 567, 'num_forms': 178, 'plus_dim': 258, 'prim_orbit_index': 1, 'relative_dim': 567, 'sturm_bound': 13680, 'trace_display': [-1, 0, 1, 0], 'traces': [567, -1, 0, 567, 1, 0, 0, -1, 0, 1, 0, 0, -2, 8, 0, 567, 6, 0, 0, 1, 0, 12, 16, 0, 567, 14, 0, 0, -2, 0, 8, -1, 0, 2, 0, 0, -2, 0, 0, 1, -2, 0, 8, 0, 0, 12, -32, 0, 547, -1, 0, -2, -22, 0, 12, 8, 0, -6, -48, 0, 10, 0, 0, 567, -2, 0, 12, 6, 0, -4, -8, 0, 18, -26, 0, 0, 0, 0, 0, 1, 0, -30, -40, 0, -18, 16, 0, 12, 14, 0, -8, 16, 0, -4, 0, 0, 10, 7, 0, 567, -50, 0, -8, 14, 0, 14, -36, 0, -22, -8, 0, 0, -10, 0, 4, -2, 0, 16, -8, 0, 531, -38, 0, 8, 1, 0, -64, -1, 0, -6, 0, 0, 0, -32, 0, 2, 30, 0, 44, 0, 0, 32, -24, 0, 18, -10, 0, -2, 30, 0, 8, 0, 0, -32, -32, 0, -54, -8, 0, 1, -72, 0, -32, -2, 0, 0, 48, 0, 509, 6, 0, 8, 10, 0, 0, 0, 0, -22, -32, 0, 10, -64, 0, 12, -18, 0, 40, -32, 0, 0, -64, 0, 18, -26, 0, 547, 70, 0, -8, -1, 0, 14, 56, 0, -2, 32, 0, -2, 0, 0, 92, -22, 0, 32, -12, 0, -32, 86, 0, 12, 100, 0, -8, 8, 0, 18, 12, 0, -70, -4, 0, -6, 102, 0, -12, -48, 0, 56, 8, 0, 118, 11, 0, 10, -7, 0, 0, 0, 0, 1, -40, 0, 32, 16, 0, 567, 78, 0, -96, -2, 0, 76, 16, 0, 14, 0, 0, 12, 14, 0, 504, 6, 0, 26, 0, 0, 362, -68, 0, -4, 54, 0, 544, -8, 0, -16, 24, 0, 465, 14, 0, 18, 26, 0, -12, -26, 0, 102, 0, 0, 440, 40, 0, 0, 14, 0, 92, 0, 0, -16, 24, 0, 530, -2, 0, 0, 26, 0, -112, 1, 0, -48, 0, 0, -2, 48, 0, -30, -112, 0, 76, -40, 0, -12, -52, 0, 146, -7, 0, -18, 96, 0, 456, 16, 0, 102, 8, 0, 2, 8, 0, 12, 126, 0, 32, 14, 0, 96, 8, 0, 0, 86, 0, -8, 10, 0, -32, 16, 0, -14, 104, 0, 78, -104, 0, -4, -188, 0, -12, 0, 0, 16, 80, 0, -80, 102, 0, 10, 14, 0, 56, 7, 0, -66, -16, 0, -62, 0, 0, 567, -74, 0, 344, -50, 0, -48, 96, 0, -18, -22, 0, -8, -24, 0, 4, 14, 0, 0, -56, 0, -54, -24, 0, 14, 6, 0, 376, -36, 0, 8, 32, 0, 26, 32, 0, -22, 0, 0, 8, -8, 0, 20, -48, 0, -50, -8, 0, 0, 94, 0, 80, -10, 0, 56, -72, 0, 82, 82, 0, 4, -82, 0, 280, -2, 0, -14, -56, 0, 72, 4, 0, 16, 0, 0, 0, -8, 0, 8, 24, 0, 620, 38, 0, 531, 6, 0, 72, -38, 0, 17, 8, 0, 140, 0, 0, 8, -48, 0, 148, 1, 0, 92, 64, 0, -22, 24, 0, -64, -74, 0, 488, -1, 0, 26, 84, 0, 144, 32, 0, -6, 54, 0, 172, 0, 0, 76, -80, 0, 571, 30, 0, 0, 20, 0, -20, -32, 0, 98, -232, 0, 234, -56, 0, 2, 22, 0, 140, 30, 0, 12, 0, 0, 88, 46, 0, 44, -18, 0, 0, 0, 0, 74, -44, 0, 10, 16, 0, 32, 6, 0, -44, -24, 0, -80, 16, 0, 506, -51, 0, 18, -128, 0, -32, -10, 0, -18, 24, 0, 0, 60, 0, -2, 142, 0, -48, 30, 0, -40, -104, 0, -98, -32, 0, 8, -75, 0, -248, 0, 0, 46, 8, 0, 410, -8, 0, -32, -26, 0, -84, -32, 0, -96, -64, 0, 567, 62, 0, -54, -84, 0, -8, -8, 0, 70, 28, 0, -106, 0, 0, 1, -154, 0, 16, -72, 0, 0, -104, 0, -128, 14, 0, -32, -170, 0, 36, -2, 0, 32, 16, 0, -54, 56, 0, 0, 0, 0, 0, 48, 0, -44, 88, 0, -54, 166, 0, 509, 10, 0, -176, 6, 0, -120, -236, 0, -26, -32, 0, 8, 28, 0, 420, 10, 0, -136, -4, 0, 148, 34, 0, 0, 126, 0, 0, 0, 0, 2, -224, 0, -182, -16, 0, -22, -304, 0, 16, -32, 0, -104, 64, 0, -32, 0, 0, 10, -2, 0, -48, -64, 0, -22, 556, 0, 490, 0, 0, 12, 88, 0, -156, -18, 0, -152, 256, 0, -94, -66, 0, 40, 152, 0, -104, -32, 0, -4, 8, 0, 194, 604, 0, 0, -138, 0, -112, -64, 0, -20, 168, 0, 78, -80, 0, 18, 34, 0, 8, -26, 0, -98, 0, 0, -32, -72, 0, 547, -50, 0, -44, 70, 0, -8, 224, 0, -124, 54, 0, -8, -30, 0, 24, -1, 0, 26, 692, 0, -16, -64, 0, 14, -42, 0, -116, 56, 0, -112, -20, 0, 0, 62, 0, -2, -218, 0, 536, 32, 0, 120, 236, 0, -118, 32, 0, -2, -154, 0, 88, 0, 0, -68, -24, 0, 481, 158, 0, 92, 103, 0, -80, -22, 0, 2, 104, 0, -22, -16, 0, 32, 126, 0, 92, -12, 0, -176, 176, 0, -58, 578, 0, -32, 64, 0, 272, 86, 0, 0, 0, 0, 22, 16, 0, 12, 126, 0, -112, 100, 0, -32, 96, 0, 320, 10, 0, -8, 0, 0, -44, 8, 0, 122, -56, 0, -92, -136, 0, 18, -138, 0, 44, 12, 0, 32, 72, 0, -264, 54, 0, -70, 8, 0, 40, -4, 0, 102, 120, 0, -2, -8, 0, -6, 126, 0, 0, 102, 0, -200, 64, 0, -86, -112, 0, -12, 94, 0, -32, -48, 0, 112, 652, 0, -172, 0, 0, 56, 30, 0, -24, 8, 0, -48, -56, 0, 615, -4, 0, 118, 14, 0, 152, 11, 0, -42, -160, 0, 192, -72, 0, 10, -26, 0, 48, -7, 0, 4, 232, 0, 78, 28, 0, 0, -152, 0, -64, 0, 0, 72, -56, 0, -70, -92, 0, 1], 'weight': 2, 'weight_parity': 1}
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source_label 32490.2.a.fp does not appear in mf_twists_nf
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hecke_orbit_code 653021946002308842 does not appear in mf_hecke_charpolys
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label 32490.2.a.fp does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 183684142
{'hecke_orbit_code': 653021946002308842, 'n': 1, 'trace_an': 4}
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id: 183684143
{'hecke_orbit_code': 653021946002308842, 'n': 2, 'trace_an': 4}
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id: 183684144
{'hecke_orbit_code': 653021946002308842, 'n': 3, 'trace_an': 0}
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id: 183684145
{'hecke_orbit_code': 653021946002308842, 'n': 4, 'trace_an': 4}
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id: 183684146
{'hecke_orbit_code': 653021946002308842, 'n': 5, 'trace_an': 4}
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id: 183684147
{'hecke_orbit_code': 653021946002308842, 'n': 6, 'trace_an': 0}
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id: 183684148
{'hecke_orbit_code': 653021946002308842, 'n': 7, 'trace_an': 6}
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id: 183684149
{'hecke_orbit_code': 653021946002308842, 'n': 8, 'trace_an': 4}
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id: 183684150
{'hecke_orbit_code': 653021946002308842, 'n': 9, 'trace_an': 0}
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id: 183684151
{'hecke_orbit_code': 653021946002308842, 'n': 10, 'trace_an': 4}
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id: 183684152
{'hecke_orbit_code': 653021946002308842, 'n': 11, 'trace_an': 2}
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id: 183684153
{'hecke_orbit_code': 653021946002308842, 'n': 12, 'trace_an': 0}
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id: 183684154
{'hecke_orbit_code': 653021946002308842, 'n': 13, 'trace_an': 0}
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id: 183684155
{'hecke_orbit_code': 653021946002308842, 'n': 14, 'trace_an': 6}
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id: 183684156
{'hecke_orbit_code': 653021946002308842, 'n': 15, 'trace_an': 0}
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id: 183684157
{'hecke_orbit_code': 653021946002308842, 'n': 16, 'trace_an': 4}
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id: 183684158
{'hecke_orbit_code': 653021946002308842, 'n': 17, 'trace_an': 8}
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id: 183684159
{'hecke_orbit_code': 653021946002308842, 'n': 18, 'trace_an': 0}
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id: 183684160
{'hecke_orbit_code': 653021946002308842, 'n': 19, 'trace_an': 0}
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id: 183684161
{'hecke_orbit_code': 653021946002308842, 'n': 20, 'trace_an': 4}
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id: 183684162
{'hecke_orbit_code': 653021946002308842, 'n': 21, 'trace_an': 0}
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id: 183684163
{'hecke_orbit_code': 653021946002308842, 'n': 22, 'trace_an': 2}
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id: 183684164
{'hecke_orbit_code': 653021946002308842, 'n': 23, 'trace_an': 0}
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id: 183684165
{'hecke_orbit_code': 653021946002308842, 'n': 24, 'trace_an': 0}
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id: 183684166
{'hecke_orbit_code': 653021946002308842, 'n': 25, 'trace_an': 4}
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id: 183684167
{'hecke_orbit_code': 653021946002308842, 'n': 26, 'trace_an': 0}
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id: 183684168
{'hecke_orbit_code': 653021946002308842, 'n': 27, 'trace_an': 0}
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id: 183684169
{'hecke_orbit_code': 653021946002308842, 'n': 28, 'trace_an': 6}
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id: 183684170
{'hecke_orbit_code': 653021946002308842, 'n': 29, 'trace_an': -4}
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id: 183684171
{'hecke_orbit_code': 653021946002308842, 'n': 30, 'trace_an': 0}
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id: 183684172
{'hecke_orbit_code': 653021946002308842, 'n': 31, 'trace_an': 16}
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id: 183684173
{'hecke_orbit_code': 653021946002308842, 'n': 32, 'trace_an': 4}
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id: 183684174
{'hecke_orbit_code': 653021946002308842, 'n': 33, 'trace_an': 0}
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id: 183684175
{'hecke_orbit_code': 653021946002308842, 'n': 34, 'trace_an': 8}
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id: 183684176
{'hecke_orbit_code': 653021946002308842, 'n': 35, 'trace_an': 6}
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id: 183684177
{'hecke_orbit_code': 653021946002308842, 'n': 36, 'trace_an': 0}
-
id: 183684178
{'hecke_orbit_code': 653021946002308842, 'n': 37, 'trace_an': 2}
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id: 183684179
{'hecke_orbit_code': 653021946002308842, 'n': 38, 'trace_an': 0}
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id: 183684180
{'hecke_orbit_code': 653021946002308842, 'n': 39, 'trace_an': 0}
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id: 183684181
{'hecke_orbit_code': 653021946002308842, 'n': 40, 'trace_an': 4}
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id: 183684182
{'hecke_orbit_code': 653021946002308842, 'n': 41, 'trace_an': 10}
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id: 183684183
{'hecke_orbit_code': 653021946002308842, 'n': 42, 'trace_an': 0}
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id: 183684184
{'hecke_orbit_code': 653021946002308842, 'n': 43, 'trace_an': 8}
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id: 183684185
{'hecke_orbit_code': 653021946002308842, 'n': 44, 'trace_an': 2}
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id: 183684186
{'hecke_orbit_code': 653021946002308842, 'n': 45, 'trace_an': 0}
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id: 183684187
{'hecke_orbit_code': 653021946002308842, 'n': 46, 'trace_an': 0}
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id: 183684188
{'hecke_orbit_code': 653021946002308842, 'n': 47, 'trace_an': -4}
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id: 183684189
{'hecke_orbit_code': 653021946002308842, 'n': 48, 'trace_an': 0}
-
id: 183684190
{'hecke_orbit_code': 653021946002308842, 'n': 49, 'trace_an': 4}
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id: 183684191
{'hecke_orbit_code': 653021946002308842, 'n': 50, 'trace_an': 4}
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id: 183684192
{'hecke_orbit_code': 653021946002308842, 'n': 51, 'trace_an': 0}
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id: 183684193
{'hecke_orbit_code': 653021946002308842, 'n': 52, 'trace_an': 0}
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id: 183684194
{'hecke_orbit_code': 653021946002308842, 'n': 53, 'trace_an': 8}
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id: 183684195
{'hecke_orbit_code': 653021946002308842, 'n': 54, 'trace_an': 0}
-
id: 183684196
{'hecke_orbit_code': 653021946002308842, 'n': 55, 'trace_an': 2}
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id: 183684197
{'hecke_orbit_code': 653021946002308842, 'n': 56, 'trace_an': 6}
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id: 183684198
{'hecke_orbit_code': 653021946002308842, 'n': 57, 'trace_an': 0}
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id: 183684199
{'hecke_orbit_code': 653021946002308842, 'n': 58, 'trace_an': -4}
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id: 183684200
{'hecke_orbit_code': 653021946002308842, 'n': 59, 'trace_an': 20}
-
id: 183684201
{'hecke_orbit_code': 653021946002308842, 'n': 60, 'trace_an': 0}
-
id: 183684202
{'hecke_orbit_code': 653021946002308842, 'n': 61, 'trace_an': 12}
-
id: 183684203
{'hecke_orbit_code': 653021946002308842, 'n': 62, 'trace_an': 16}
-
id: 183684204
{'hecke_orbit_code': 653021946002308842, 'n': 63, 'trace_an': 0}
-
id: 183684205
{'hecke_orbit_code': 653021946002308842, 'n': 64, 'trace_an': 4}
-
id: 183684206
{'hecke_orbit_code': 653021946002308842, 'n': 65, 'trace_an': 0}
-
id: 183684207
{'hecke_orbit_code': 653021946002308842, 'n': 66, 'trace_an': 0}
-
id: 183684208
{'hecke_orbit_code': 653021946002308842, 'n': 67, 'trace_an': 12}
-
id: 183684209
{'hecke_orbit_code': 653021946002308842, 'n': 68, 'trace_an': 8}
-
id: 183684210
{'hecke_orbit_code': 653021946002308842, 'n': 69, 'trace_an': 0}
-
id: 183684211
{'hecke_orbit_code': 653021946002308842, 'n': 70, 'trace_an': 6}
-
id: 183684212
{'hecke_orbit_code': 653021946002308842, 'n': 71, 'trace_an': 8}
-
id: 183684213
{'hecke_orbit_code': 653021946002308842, 'n': 72, 'trace_an': 0}
-
id: 183684214
{'hecke_orbit_code': 653021946002308842, 'n': 73, 'trace_an': 4}
-
id: 183684215
{'hecke_orbit_code': 653021946002308842, 'n': 74, 'trace_an': 2}
-
id: 183684216
{'hecke_orbit_code': 653021946002308842, 'n': 75, 'trace_an': 0}
-
id: 183684217
{'hecke_orbit_code': 653021946002308842, 'n': 76, 'trace_an': 0}
-
id: 183684218
{'hecke_orbit_code': 653021946002308842, 'n': 77, 'trace_an': -16}
-
id: 183684219
{'hecke_orbit_code': 653021946002308842, 'n': 78, 'trace_an': 0}
-
id: 183684220
{'hecke_orbit_code': 653021946002308842, 'n': 79, 'trace_an': 16}
-
id: 183684221
{'hecke_orbit_code': 653021946002308842, 'n': 80, 'trace_an': 4}
-
id: 183684222
{'hecke_orbit_code': 653021946002308842, 'n': 81, 'trace_an': 0}
-
id: 183684223
{'hecke_orbit_code': 653021946002308842, 'n': 82, 'trace_an': 10}
-
id: 183684224
{'hecke_orbit_code': 653021946002308842, 'n': 83, 'trace_an': -4}
-
id: 183684225
{'hecke_orbit_code': 653021946002308842, 'n': 84, 'trace_an': 0}
-
id: 183684226
{'hecke_orbit_code': 653021946002308842, 'n': 85, 'trace_an': 8}
-
id: 183684227
{'hecke_orbit_code': 653021946002308842, 'n': 86, 'trace_an': 8}
-
id: 183684228
{'hecke_orbit_code': 653021946002308842, 'n': 87, 'trace_an': 0}
-
id: 183684229
{'hecke_orbit_code': 653021946002308842, 'n': 88, 'trace_an': 2}
-
id: 183684230
{'hecke_orbit_code': 653021946002308842, 'n': 89, 'trace_an': 2}
-
id: 183684231
{'hecke_orbit_code': 653021946002308842, 'n': 90, 'trace_an': 0}
-
id: 183684232
{'hecke_orbit_code': 653021946002308842, 'n': 91, 'trace_an': 8}
-
id: 183684233
{'hecke_orbit_code': 653021946002308842, 'n': 92, 'trace_an': 0}
-
id: 183684234
{'hecke_orbit_code': 653021946002308842, 'n': 93, 'trace_an': 0}
-
id: 183684235
{'hecke_orbit_code': 653021946002308842, 'n': 94, 'trace_an': -4}
-
id: 183684236
{'hecke_orbit_code': 653021946002308842, 'n': 95, 'trace_an': 0}
-
id: 183684237
{'hecke_orbit_code': 653021946002308842, 'n': 96, 'trace_an': 0}
-
id: 183684238
{'hecke_orbit_code': 653021946002308842, 'n': 97, 'trace_an': -16}
-
id: 183684239
{'hecke_orbit_code': 653021946002308842, 'n': 98, 'trace_an': 4}
-
id: 183684240
{'hecke_orbit_code': 653021946002308842, 'n': 99, 'trace_an': 0}
-
id: 183684241
{'hecke_orbit_code': 653021946002308842, 'n': 100, 'trace_an': 4}