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mf_newforms • Show schema
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{'Nk2': 78400, 'analytic_conductor': 156.50678796170956, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [7, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [19600, 1, [17151, 4901, 10977, 14801], [71, 71, 71, 71]], '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': 71, 'hecke_orbit_code': 315251973949508752, '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': '19600.2.a.cs', 'level': 19600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-2q^{9}+2q^{13}+2q^{17}+6q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/19600/cs'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '19600.2.a', 'trace_display': [0, 1, 0, 0], 'traces': [1, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 6, 0, 0, 0, -3, 0, 0, 0, -5, 0, 7, 0, 2, 0, 0, 0, 0, 0, 8, 0, 2, 0, -5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 2, 0, -6, 0, 0, 0, 6, 0, 10, 0, -7, 0, 0, 0, 0, 0, -5, 0, -3, 0, 2, 0, -6, 0, 0, 0, 0, 0, 2, 0, 1, 0, 11, 0, 0, 0, 7, 0, -9, 0, 0, 0, 2, 0, 0, 0, -16, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 19600.2.a.cs does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [44, 48, 52, 51, 45, 45, 46, 51], 'ALdims_eis_new': [0, 0, 0, 0, 2, 3, 4, 6], 'ALdims_eis_old': [35, 36, 36, 36, 34, 33, 32, 30], 'ALdims_old': [353, 360, 352, 349, 363, 351, 354, 353], 'Nk2': 78400, 'analytic_conductor': 156.50678796170956, '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': [19600, 1, [17151, 4901, 10977, 14801], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3217, 'dim': 382, 'eis_dim': 287, 'eis_new_dim': 15, 'hecke_orbit_code': 33574032, '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, 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, 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, 6, 6, 6, 6, 8, 8, 10, 10], 'label': '19600.2.a', 'level': 19600, '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': [2, 5, 7], 'level_radical': 70, 'mf_dim': 3504, 'mf_new_dim': 397, 'num_forms': 193, 'plus_dim': 186, 'prim_orbit_index': 1, 'relative_dim': 382, 'sturm_bound': 6720, 'trace_display': [0, 2, 0, 0], 'traces': [382, 0, 2, 0, 0, 0, 0, 0, 368, 0, -2, 0, -2, 0, 0, 0, 2, 0, -4, 0, 0, 0, -4, 0, 0, 0, 20, 0, 12, 0, 4, 0, 0, 0, 0, 0, -2, 0, -16, 0, 6, 0, -10, 0, 0, 0, 2, 0, 0, 0, -38, 0, -2, 0, 0, 0, 14, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, 0, 12, 0, -4, 0, 18, 0, 0, 0, 0, 0, 2, 0, 330, 0, -22, 0, 0, 0, 20, 0, 10, 0, 0, 0, 2, 0, 0, 0, 10, 0, -16, 0, 6, 0, -10, 0, 0, 0, -52, 0, 34, 0, -4, 0, 32, 0, 0, 0, -50, 0, 0, 0, 316, 0, -24, 0, 0, 0, -10, 0, 4, 0, -36, 0, 0, 0, 0, 0, 18, 0, -28, 0, -38, 0, -40, 0, 0, 0, 0, 0, 2, 0, -110, 0, -14, 0, 0, 0, 6, 0, -44, 0, 0, 0, -40, 0, 0, 0, -70, 0, 290, 0, -80, 0, -10, 0, 0, 0, 2, 0, -70, 0, 46, 0, -26, 0, 0, 0, -40, 0, 0, 0, -18, 0, 18, 0, 0, 0, -12, 0, 8, 0, 24, 0, 0, 0, 0, 0, -106, 0, 4, 0, -72, 0, 24, 0, 0, 0, 0, 0, 202, 0, -36, 0, 54, 0, 0, 0, 22, 0, 14, 0, 0, 0, -6, 0, 0, 0, 32, 0, -64, 0, 46, 0, 62, 0, 0, 0, 36, 0, 8, 0, 16, 0, 38, 0, 0, 0, 26, 0, 0, 0, 56, 0, 56, 0, 0, 0, -18, 0, 18, 0, 52, 0, 0, 0, 0, 0, 22, 0, 44, 0, 56, 0, 58, 0, 0, 0, 0, 0, 288, 0, -176, 0, 22, 0, 0, 0, -32, 0, 4, 0, 0, 0, -106, 0, 0, 0, 142, 0, 50, 0, -68, 0, 34, 0, 0, 0, -42, 0, 4, 0, 0, 0, -34, 0, 0, 0, 60, 0, 0, 0, -38, 0, 84, 0, 0, 0, 24, 0, -144, 0, -8, 0, 0, 0, 0, 0, 144, 0, 14, 0, -156, 0, -46, 0, 0, 0, 0, 0, -38, 0, 316, 0, -110, 0, 0, 0, -22, 0, -38, 0, 0, 0, 38, 0, 0, 0, -44, 0, 172, 0, 68, 0, -74, 0, 0, 0, -226, 0, 18, 0, -4, 0, 14, 0, 0, 0, 62, 0, 0, 0, 82, 0, -108, 0, 0, 0, 122, 0, -18, 0, 64, 0, 0, 0, 0, 0, 0, 0, -268, 0, 8, 0, -54, 0, 0, 0, 0, 0, 108, 0, -134, 0, 26, 0, 0, 0, 40, 0, 24, 0, 0, 0, 136, 0, 0, 0, -252, 0, -12, 0, -100, 0, 56, 0, 0, 0, 18, 0, -206, 0, 62, 0, 50, 0, 0, 0, -82, 0, 0, 0, -114, 0, 24, 0, 0, 0, -20, 0, 152, 0, 20, 0, 0, 0, 0, 0, 4, 0, 32, 0, 156, 0, -84, 0, 0, 0, 0, 0, 154, 0, 4, 0, 78, 0, 0, 0, 38, 0, -98, 0, 0, 0, 18, 0, 0, 0, 0, 0, 14, 0, -86, 0, 18, 0, 0, 0, 106, 0, 292, 0, -48, 0, 48, 0, 0, 0, -120, 0, 0, 0, 142, 0, 256, 0, 0, 0, -134, 0, -6, 0, -8, 0, 0, 0, 0, 0, -114, 0, 228, 0, 18, 0, 10, 0, 0, 0, 0, 0, -66, 0, 26, 0, 136, 0, 0, 0, 10, 0, 216, 0, 0, 0, -174, 0, 0, 0, 214, 0, 14, 0, 156, 0, -62, 0, 0, 0, 26, 0, 86, 0, 6, 0, 238, 0, 0, 0, 58, 0, 0, 0, 64, 0, -50, 0, 0, 0, 88, 0, 72, 0, -32, 0, 0, 0, 0, 0, 34, 0, 132, 0, -20, 0, 80, 0, 0, 0, 0, 0, 100, 0, -6, 0, -126, 0, 0, 0, -54, 0, -16, 0, 0, 0, 62, 0, 0, 0, -30, 0, 28, 0, -62, 0, 64, 0, 0, 0, -136, 0, 20, 0, -16, 0, 104, 0, 0, 0, -2, 0, 0, 0, -66, 0, 140, 0, 0, 0, 70, 0, -12, 0, 160, 0, 0, 0, 0, 0, 68, 0, -276, 0, -40, 0, -16, 0, 0, 0, 0, 0, 110, 0, 268, 0, -24, 0, 0, 0, 16, 0, -16, 0, 0, 0, 46, 0, 0, 0, -254, 0, 230, 0, 132, 0, -98, 0, 0, 0, 18, 0, -130, 0, 112, 0, 18, 0, 0, 0, -118, 0, 0, 0, -90, 0, 160, 0, 0, 0, -44, 0, -96, 0, -86, 0, 0, 0, 0, 0, -148, 0, -46, 0, -82, 0, 118, 0, 0, 0, 0, 0, 128, 0, 96, 0, 208, 0, 0, 0, 22, 0, 124, 0, 0, 0, 124, 0, 0, 0, -10, 0, -238, 0, 150, 0, 160, 0, 0, 0, 350, 0, -58, 0, -60, 0, 150, 0, 0, 0, 104, 0, 0, 0, -14, 0, -104, 0, 0, 0, -38, 0, 10, 0, 76, 0, 0, 0, 0, 0, 62, 0, 144, 0, 250, 0, -44, 0, 0, 0, 0, 0, -86, 0, -166, 0, -82, 0, 0, 0, -6, 0, 212, 0, 0, 0, 124, 0, 0, 0, 446, 0, 14, 0, 108, 0, 122, 0, 0, 0, -10, 0, 184, 0, -54, 0, 22, 0, 0, 0, 194, 0, 0, 0, 230, 0, 194, 0, 0, 0, -12, 0, -8, 0, 52, 0, 0, 0, 0, 0, 88, 0, 62, 0, 292, 0, -96, 0, 0, 0, 0, 0, -334, 0, 120, 0, -104, 0, 0, 0, -130, 0, -38, 0, 0, 0, 74, 0, 0, 0, 58, 0, 598, 0, 38, 0, 52, 0, 0, 0, -28, 0, -44, 0, -172, 0, -48, 0, 0, 0, 80, 0, 0, 0, 160, 0, -74, 0, 0, 0, 294, 0, 20, 0, -256, 0, 0, 0, 0, 0, -54, 0, -164, 0, 72, 0, 118, 0, 0, 0, 0, 0, -4, 0, -6, 0, 80, 0, 0, 0, -114, 0, -112, 0], 'weight': 2, 'weight_parity': 1}
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source_label 19600.2.a.cs does not appear in mf_twists_nf
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hecke_orbit_code 315251973949508752 does not appear in mf_hecke_charpolys
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label 19600.2.a.cs does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 177960142
{'hecke_orbit_code': 315251973949508752, 'n': 1, 'trace_an': 1}
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id: 177960143
{'hecke_orbit_code': 315251973949508752, 'n': 2, 'trace_an': 0}
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id: 177960144
{'hecke_orbit_code': 315251973949508752, 'n': 3, 'trace_an': 1}
-
id: 177960145
{'hecke_orbit_code': 315251973949508752, 'n': 4, 'trace_an': 0}
-
id: 177960146
{'hecke_orbit_code': 315251973949508752, 'n': 5, 'trace_an': 0}
-
id: 177960147
{'hecke_orbit_code': 315251973949508752, 'n': 6, 'trace_an': 0}
-
id: 177960148
{'hecke_orbit_code': 315251973949508752, 'n': 7, 'trace_an': 0}
-
id: 177960149
{'hecke_orbit_code': 315251973949508752, 'n': 8, 'trace_an': 0}
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id: 177960150
{'hecke_orbit_code': 315251973949508752, 'n': 9, 'trace_an': -2}
-
id: 177960151
{'hecke_orbit_code': 315251973949508752, 'n': 10, 'trace_an': 0}
-
id: 177960152
{'hecke_orbit_code': 315251973949508752, 'n': 11, 'trace_an': 0}
-
id: 177960153
{'hecke_orbit_code': 315251973949508752, 'n': 12, 'trace_an': 0}
-
id: 177960154
{'hecke_orbit_code': 315251973949508752, 'n': 13, 'trace_an': 2}
-
id: 177960155
{'hecke_orbit_code': 315251973949508752, 'n': 14, 'trace_an': 0}
-
id: 177960156
{'hecke_orbit_code': 315251973949508752, 'n': 15, 'trace_an': 0}
-
id: 177960157
{'hecke_orbit_code': 315251973949508752, 'n': 16, 'trace_an': 0}
-
id: 177960158
{'hecke_orbit_code': 315251973949508752, 'n': 17, 'trace_an': 2}
-
id: 177960159
{'hecke_orbit_code': 315251973949508752, 'n': 18, 'trace_an': 0}
-
id: 177960160
{'hecke_orbit_code': 315251973949508752, 'n': 19, 'trace_an': 6}
-
id: 177960161
{'hecke_orbit_code': 315251973949508752, 'n': 20, 'trace_an': 0}
-
id: 177960162
{'hecke_orbit_code': 315251973949508752, 'n': 21, 'trace_an': 0}
-
id: 177960163
{'hecke_orbit_code': 315251973949508752, 'n': 22, 'trace_an': 0}
-
id: 177960164
{'hecke_orbit_code': 315251973949508752, 'n': 23, 'trace_an': -3}
-
id: 177960165
{'hecke_orbit_code': 315251973949508752, 'n': 24, 'trace_an': 0}
-
id: 177960166
{'hecke_orbit_code': 315251973949508752, 'n': 25, 'trace_an': 0}
-
id: 177960167
{'hecke_orbit_code': 315251973949508752, 'n': 26, 'trace_an': 0}
-
id: 177960168
{'hecke_orbit_code': 315251973949508752, 'n': 27, 'trace_an': -5}
-
id: 177960169
{'hecke_orbit_code': 315251973949508752, 'n': 28, 'trace_an': 0}
-
id: 177960170
{'hecke_orbit_code': 315251973949508752, 'n': 29, 'trace_an': 7}
-
id: 177960171
{'hecke_orbit_code': 315251973949508752, 'n': 30, 'trace_an': 0}
-
id: 177960172
{'hecke_orbit_code': 315251973949508752, 'n': 31, 'trace_an': 2}
-
id: 177960173
{'hecke_orbit_code': 315251973949508752, 'n': 32, 'trace_an': 0}
-
id: 177960174
{'hecke_orbit_code': 315251973949508752, 'n': 33, 'trace_an': 0}
-
id: 177960175
{'hecke_orbit_code': 315251973949508752, 'n': 34, 'trace_an': 0}
-
id: 177960176
{'hecke_orbit_code': 315251973949508752, 'n': 35, 'trace_an': 0}
-
id: 177960177
{'hecke_orbit_code': 315251973949508752, 'n': 36, 'trace_an': 0}
-
id: 177960178
{'hecke_orbit_code': 315251973949508752, 'n': 37, 'trace_an': 8}
-
id: 177960179
{'hecke_orbit_code': 315251973949508752, 'n': 38, 'trace_an': 0}
-
id: 177960180
{'hecke_orbit_code': 315251973949508752, 'n': 39, 'trace_an': 2}
-
id: 177960181
{'hecke_orbit_code': 315251973949508752, 'n': 40, 'trace_an': 0}
-
id: 177960182
{'hecke_orbit_code': 315251973949508752, 'n': 41, 'trace_an': -5}
-
id: 177960183
{'hecke_orbit_code': 315251973949508752, 'n': 42, 'trace_an': 0}
-
id: 177960184
{'hecke_orbit_code': 315251973949508752, 'n': 43, 'trace_an': 7}
-
id: 177960185
{'hecke_orbit_code': 315251973949508752, 'n': 44, 'trace_an': 0}
-
id: 177960186
{'hecke_orbit_code': 315251973949508752, 'n': 45, 'trace_an': 0}
-
id: 177960187
{'hecke_orbit_code': 315251973949508752, 'n': 46, 'trace_an': 0}
-
id: 177960188
{'hecke_orbit_code': 315251973949508752, 'n': 47, 'trace_an': 0}
-
id: 177960189
{'hecke_orbit_code': 315251973949508752, 'n': 48, 'trace_an': 0}
-
id: 177960190
{'hecke_orbit_code': 315251973949508752, 'n': 49, 'trace_an': 0}
-
id: 177960191
{'hecke_orbit_code': 315251973949508752, 'n': 50, 'trace_an': 0}
-
id: 177960192
{'hecke_orbit_code': 315251973949508752, 'n': 51, 'trace_an': 2}
-
id: 177960193
{'hecke_orbit_code': 315251973949508752, 'n': 52, 'trace_an': 0}
-
id: 177960194
{'hecke_orbit_code': 315251973949508752, 'n': 53, 'trace_an': -6}
-
id: 177960195
{'hecke_orbit_code': 315251973949508752, 'n': 54, 'trace_an': 0}
-
id: 177960196
{'hecke_orbit_code': 315251973949508752, 'n': 55, 'trace_an': 0}
-
id: 177960197
{'hecke_orbit_code': 315251973949508752, 'n': 56, 'trace_an': 0}
-
id: 177960198
{'hecke_orbit_code': 315251973949508752, 'n': 57, 'trace_an': 6}
-
id: 177960199
{'hecke_orbit_code': 315251973949508752, 'n': 58, 'trace_an': 0}
-
id: 177960200
{'hecke_orbit_code': 315251973949508752, 'n': 59, 'trace_an': 10}
-
id: 177960201
{'hecke_orbit_code': 315251973949508752, 'n': 60, 'trace_an': 0}
-
id: 177960202
{'hecke_orbit_code': 315251973949508752, 'n': 61, 'trace_an': -7}
-
id: 177960203
{'hecke_orbit_code': 315251973949508752, 'n': 62, 'trace_an': 0}
-
id: 177960204
{'hecke_orbit_code': 315251973949508752, 'n': 63, 'trace_an': 0}
-
id: 177960205
{'hecke_orbit_code': 315251973949508752, 'n': 64, 'trace_an': 0}
-
id: 177960206
{'hecke_orbit_code': 315251973949508752, 'n': 65, 'trace_an': 0}
-
id: 177960207
{'hecke_orbit_code': 315251973949508752, 'n': 66, 'trace_an': 0}
-
id: 177960208
{'hecke_orbit_code': 315251973949508752, 'n': 67, 'trace_an': -5}
-
id: 177960209
{'hecke_orbit_code': 315251973949508752, 'n': 68, 'trace_an': 0}
-
id: 177960210
{'hecke_orbit_code': 315251973949508752, 'n': 69, 'trace_an': -3}
-
id: 177960211
{'hecke_orbit_code': 315251973949508752, 'n': 70, 'trace_an': 0}
-
id: 177960212
{'hecke_orbit_code': 315251973949508752, 'n': 71, 'trace_an': 2}
-
id: 177960213
{'hecke_orbit_code': 315251973949508752, 'n': 72, 'trace_an': 0}
-
id: 177960214
{'hecke_orbit_code': 315251973949508752, 'n': 73, 'trace_an': -6}
-
id: 177960215
{'hecke_orbit_code': 315251973949508752, 'n': 74, 'trace_an': 0}
-
id: 177960216
{'hecke_orbit_code': 315251973949508752, 'n': 75, 'trace_an': 0}
-
id: 177960217
{'hecke_orbit_code': 315251973949508752, 'n': 76, 'trace_an': 0}
-
id: 177960218
{'hecke_orbit_code': 315251973949508752, 'n': 77, 'trace_an': 0}
-
id: 177960219
{'hecke_orbit_code': 315251973949508752, 'n': 78, 'trace_an': 0}
-
id: 177960220
{'hecke_orbit_code': 315251973949508752, 'n': 79, 'trace_an': 2}
-
id: 177960221
{'hecke_orbit_code': 315251973949508752, 'n': 80, 'trace_an': 0}
-
id: 177960222
{'hecke_orbit_code': 315251973949508752, 'n': 81, 'trace_an': 1}
-
id: 177960223
{'hecke_orbit_code': 315251973949508752, 'n': 82, 'trace_an': 0}
-
id: 177960224
{'hecke_orbit_code': 315251973949508752, 'n': 83, 'trace_an': 11}
-
id: 177960225
{'hecke_orbit_code': 315251973949508752, 'n': 84, 'trace_an': 0}
-
id: 177960226
{'hecke_orbit_code': 315251973949508752, 'n': 85, 'trace_an': 0}
-
id: 177960227
{'hecke_orbit_code': 315251973949508752, 'n': 86, 'trace_an': 0}
-
id: 177960228
{'hecke_orbit_code': 315251973949508752, 'n': 87, 'trace_an': 7}
-
id: 177960229
{'hecke_orbit_code': 315251973949508752, 'n': 88, 'trace_an': 0}
-
id: 177960230
{'hecke_orbit_code': 315251973949508752, 'n': 89, 'trace_an': -9}
-
id: 177960231
{'hecke_orbit_code': 315251973949508752, 'n': 90, 'trace_an': 0}
-
id: 177960232
{'hecke_orbit_code': 315251973949508752, 'n': 91, 'trace_an': 0}
-
id: 177960233
{'hecke_orbit_code': 315251973949508752, 'n': 92, 'trace_an': 0}
-
id: 177960234
{'hecke_orbit_code': 315251973949508752, 'n': 93, 'trace_an': 2}
-
id: 177960235
{'hecke_orbit_code': 315251973949508752, 'n': 94, 'trace_an': 0}
-
id: 177960236
{'hecke_orbit_code': 315251973949508752, 'n': 95, 'trace_an': 0}
-
id: 177960237
{'hecke_orbit_code': 315251973949508752, 'n': 96, 'trace_an': 0}
-
id: 177960238
{'hecke_orbit_code': 315251973949508752, 'n': 97, 'trace_an': -16}
-
id: 177960239
{'hecke_orbit_code': 315251973949508752, 'n': 98, 'trace_an': 0}
-
id: 177960240
{'hecke_orbit_code': 315251973949508752, 'n': 99, 'trace_an': 0}
-
id: 177960241
{'hecke_orbit_code': 315251973949508752, 'n': 100, 'trace_an': 0}