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mf_newforms • Show schema
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{'Nk2': 132480, 'analytic_conductor': 264.46453149448064, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [23, 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': [33120, 1, [26911, 12421, 29441, 26497, 28801], [15, 15, 15, 15, 15]], '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': 15, 'hecke_orbit_code': 63050394816774496, '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': '33120.2.a.o', 'level': 33120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+2q^{7}+6q^{11}+2q^{13}+4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/33120/o'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '33120.2.a', 'trace_display': [0, 0, -1, 2], 'traces': [1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 6, 0, 2, 0, 0, 0, 4, 0, -8, 0, 0, 0, -1, 0, 1, 0, 0, 0, -6, 0, -4, 0, 0, 0, -2, 0, 12, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -3, 0, 0, 0, 6, 0, -6, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, -4, 0, 0, 0, -8, 0, 6, 0, 0, 0, 12, 0, 2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, -14, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 33120.2.a.o does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [22, 22, 22, 22, 36, 31, 31, 36, 22, 22, 22, 22, 30, 35, 35, 30], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [391, 418, 414, 402, 398, 395, 399, 386, 422, 394, 398, 410, 392, 395, 391, 404], 'Nk2': 132480, 'analytic_conductor': 264.46453149448064, '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': [33120, 1, [26911, 12421, 29441, 26497, 28801], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 6849, 'dim': 440, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_orbit_code': 33587552, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11], 'label': '33120.2.a', 'level': 33120, '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, 23], 'level_radical': 690, 'mf_dim': 6976, 'mf_new_dim': 440, 'num_forms': 110, 'plus_dim': 210, 'prim_orbit_index': 1, 'relative_dim': 440, 'sturm_bound': 13824, 'trace_display': [0, 0, 0, 0], 'traces': [440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 496, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 33120.2.a.o does not appear in mf_twists_nf
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hecke_orbit_code 63050394816774496 does not appear in mf_hecke_charpolys
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label 33120.2.a.o does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 150884142
{'hecke_orbit_code': 63050394816774496, 'n': 1, 'trace_an': 1}
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id: 150884143
{'hecke_orbit_code': 63050394816774496, 'n': 2, 'trace_an': 0}
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id: 150884144
{'hecke_orbit_code': 63050394816774496, 'n': 3, 'trace_an': 0}
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id: 150884145
{'hecke_orbit_code': 63050394816774496, 'n': 4, 'trace_an': 0}
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id: 150884146
{'hecke_orbit_code': 63050394816774496, 'n': 5, 'trace_an': -1}
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id: 150884147
{'hecke_orbit_code': 63050394816774496, 'n': 6, 'trace_an': 0}
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id: 150884148
{'hecke_orbit_code': 63050394816774496, 'n': 7, 'trace_an': 2}
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id: 150884149
{'hecke_orbit_code': 63050394816774496, 'n': 8, 'trace_an': 0}
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id: 150884150
{'hecke_orbit_code': 63050394816774496, 'n': 9, 'trace_an': 0}
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id: 150884151
{'hecke_orbit_code': 63050394816774496, 'n': 10, 'trace_an': 0}
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id: 150884152
{'hecke_orbit_code': 63050394816774496, 'n': 11, 'trace_an': 6}
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id: 150884153
{'hecke_orbit_code': 63050394816774496, 'n': 12, 'trace_an': 0}
-
id: 150884154
{'hecke_orbit_code': 63050394816774496, 'n': 13, 'trace_an': 2}
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id: 150884155
{'hecke_orbit_code': 63050394816774496, 'n': 14, 'trace_an': 0}
-
id: 150884156
{'hecke_orbit_code': 63050394816774496, 'n': 15, 'trace_an': 0}
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id: 150884157
{'hecke_orbit_code': 63050394816774496, 'n': 16, 'trace_an': 0}
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id: 150884158
{'hecke_orbit_code': 63050394816774496, 'n': 17, 'trace_an': 4}
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id: 150884159
{'hecke_orbit_code': 63050394816774496, 'n': 18, 'trace_an': 0}
-
id: 150884160
{'hecke_orbit_code': 63050394816774496, 'n': 19, 'trace_an': -8}
-
id: 150884161
{'hecke_orbit_code': 63050394816774496, 'n': 20, 'trace_an': 0}
-
id: 150884162
{'hecke_orbit_code': 63050394816774496, 'n': 21, 'trace_an': 0}
-
id: 150884163
{'hecke_orbit_code': 63050394816774496, 'n': 22, 'trace_an': 0}
-
id: 150884164
{'hecke_orbit_code': 63050394816774496, 'n': 23, 'trace_an': -1}
-
id: 150884165
{'hecke_orbit_code': 63050394816774496, 'n': 24, 'trace_an': 0}
-
id: 150884166
{'hecke_orbit_code': 63050394816774496, 'n': 25, 'trace_an': 1}
-
id: 150884167
{'hecke_orbit_code': 63050394816774496, 'n': 26, 'trace_an': 0}
-
id: 150884168
{'hecke_orbit_code': 63050394816774496, 'n': 27, 'trace_an': 0}
-
id: 150884169
{'hecke_orbit_code': 63050394816774496, 'n': 28, 'trace_an': 0}
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id: 150884170
{'hecke_orbit_code': 63050394816774496, 'n': 29, 'trace_an': -6}
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id: 150884171
{'hecke_orbit_code': 63050394816774496, 'n': 30, 'trace_an': 0}
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id: 150884172
{'hecke_orbit_code': 63050394816774496, 'n': 31, 'trace_an': -4}
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id: 150884173
{'hecke_orbit_code': 63050394816774496, 'n': 32, 'trace_an': 0}
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id: 150884174
{'hecke_orbit_code': 63050394816774496, 'n': 33, 'trace_an': 0}
-
id: 150884175
{'hecke_orbit_code': 63050394816774496, 'n': 34, 'trace_an': 0}
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id: 150884176
{'hecke_orbit_code': 63050394816774496, 'n': 35, 'trace_an': -2}
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id: 150884177
{'hecke_orbit_code': 63050394816774496, 'n': 36, 'trace_an': 0}
-
id: 150884178
{'hecke_orbit_code': 63050394816774496, 'n': 37, 'trace_an': 12}
-
id: 150884179
{'hecke_orbit_code': 63050394816774496, 'n': 38, 'trace_an': 0}
-
id: 150884180
{'hecke_orbit_code': 63050394816774496, 'n': 39, 'trace_an': 0}
-
id: 150884181
{'hecke_orbit_code': 63050394816774496, 'n': 40, 'trace_an': 0}
-
id: 150884182
{'hecke_orbit_code': 63050394816774496, 'n': 41, 'trace_an': -2}
-
id: 150884183
{'hecke_orbit_code': 63050394816774496, 'n': 42, 'trace_an': 0}
-
id: 150884184
{'hecke_orbit_code': 63050394816774496, 'n': 43, 'trace_an': -4}
-
id: 150884185
{'hecke_orbit_code': 63050394816774496, 'n': 44, 'trace_an': 0}
-
id: 150884186
{'hecke_orbit_code': 63050394816774496, 'n': 45, 'trace_an': 0}
-
id: 150884187
{'hecke_orbit_code': 63050394816774496, 'n': 46, 'trace_an': 0}
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id: 150884188
{'hecke_orbit_code': 63050394816774496, 'n': 47, 'trace_an': 0}
-
id: 150884189
{'hecke_orbit_code': 63050394816774496, 'n': 48, 'trace_an': 0}
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id: 150884190
{'hecke_orbit_code': 63050394816774496, 'n': 49, 'trace_an': -3}
-
id: 150884191
{'hecke_orbit_code': 63050394816774496, 'n': 50, 'trace_an': 0}
-
id: 150884192
{'hecke_orbit_code': 63050394816774496, 'n': 51, 'trace_an': 0}
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id: 150884193
{'hecke_orbit_code': 63050394816774496, 'n': 52, 'trace_an': 0}
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id: 150884194
{'hecke_orbit_code': 63050394816774496, 'n': 53, 'trace_an': 6}
-
id: 150884195
{'hecke_orbit_code': 63050394816774496, 'n': 54, 'trace_an': 0}
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id: 150884196
{'hecke_orbit_code': 63050394816774496, 'n': 55, 'trace_an': -6}
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id: 150884197
{'hecke_orbit_code': 63050394816774496, 'n': 56, 'trace_an': 0}
-
id: 150884198
{'hecke_orbit_code': 63050394816774496, 'n': 57, 'trace_an': 0}
-
id: 150884199
{'hecke_orbit_code': 63050394816774496, 'n': 58, 'trace_an': 0}
-
id: 150884200
{'hecke_orbit_code': 63050394816774496, 'n': 59, 'trace_an': 0}
-
id: 150884201
{'hecke_orbit_code': 63050394816774496, 'n': 60, 'trace_an': 0}
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id: 150884202
{'hecke_orbit_code': 63050394816774496, 'n': 61, 'trace_an': -4}
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id: 150884203
{'hecke_orbit_code': 63050394816774496, 'n': 62, 'trace_an': 0}
-
id: 150884204
{'hecke_orbit_code': 63050394816774496, 'n': 63, 'trace_an': 0}
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id: 150884205
{'hecke_orbit_code': 63050394816774496, 'n': 64, 'trace_an': 0}
-
id: 150884206
{'hecke_orbit_code': 63050394816774496, 'n': 65, 'trace_an': -2}
-
id: 150884207
{'hecke_orbit_code': 63050394816774496, 'n': 66, 'trace_an': 0}
-
id: 150884208
{'hecke_orbit_code': 63050394816774496, 'n': 67, 'trace_an': -4}
-
id: 150884209
{'hecke_orbit_code': 63050394816774496, 'n': 68, 'trace_an': 0}
-
id: 150884210
{'hecke_orbit_code': 63050394816774496, 'n': 69, 'trace_an': 0}
-
id: 150884211
{'hecke_orbit_code': 63050394816774496, 'n': 70, 'trace_an': 0}
-
id: 150884212
{'hecke_orbit_code': 63050394816774496, 'n': 71, 'trace_an': -8}
-
id: 150884213
{'hecke_orbit_code': 63050394816774496, 'n': 72, 'trace_an': 0}
-
id: 150884214
{'hecke_orbit_code': 63050394816774496, 'n': 73, 'trace_an': 6}
-
id: 150884215
{'hecke_orbit_code': 63050394816774496, 'n': 74, 'trace_an': 0}
-
id: 150884216
{'hecke_orbit_code': 63050394816774496, 'n': 75, 'trace_an': 0}
-
id: 150884217
{'hecke_orbit_code': 63050394816774496, 'n': 76, 'trace_an': 0}
-
id: 150884218
{'hecke_orbit_code': 63050394816774496, 'n': 77, 'trace_an': 12}
-
id: 150884219
{'hecke_orbit_code': 63050394816774496, 'n': 78, 'trace_an': 0}
-
id: 150884220
{'hecke_orbit_code': 63050394816774496, 'n': 79, 'trace_an': 2}
-
id: 150884221
{'hecke_orbit_code': 63050394816774496, 'n': 80, 'trace_an': 0}
-
id: 150884222
{'hecke_orbit_code': 63050394816774496, 'n': 81, 'trace_an': 0}
-
id: 150884223
{'hecke_orbit_code': 63050394816774496, 'n': 82, 'trace_an': 0}
-
id: 150884224
{'hecke_orbit_code': 63050394816774496, 'n': 83, 'trace_an': 6}
-
id: 150884225
{'hecke_orbit_code': 63050394816774496, 'n': 84, 'trace_an': 0}
-
id: 150884226
{'hecke_orbit_code': 63050394816774496, 'n': 85, 'trace_an': -4}
-
id: 150884227
{'hecke_orbit_code': 63050394816774496, 'n': 86, 'trace_an': 0}
-
id: 150884228
{'hecke_orbit_code': 63050394816774496, 'n': 87, 'trace_an': 0}
-
id: 150884229
{'hecke_orbit_code': 63050394816774496, 'n': 88, 'trace_an': 0}
-
id: 150884230
{'hecke_orbit_code': 63050394816774496, 'n': 89, 'trace_an': 0}
-
id: 150884231
{'hecke_orbit_code': 63050394816774496, 'n': 90, 'trace_an': 0}
-
id: 150884232
{'hecke_orbit_code': 63050394816774496, 'n': 91, 'trace_an': 4}
-
id: 150884233
{'hecke_orbit_code': 63050394816774496, 'n': 92, 'trace_an': 0}
-
id: 150884234
{'hecke_orbit_code': 63050394816774496, 'n': 93, 'trace_an': 0}
-
id: 150884235
{'hecke_orbit_code': 63050394816774496, 'n': 94, 'trace_an': 0}
-
id: 150884236
{'hecke_orbit_code': 63050394816774496, 'n': 95, 'trace_an': 8}
-
id: 150884237
{'hecke_orbit_code': 63050394816774496, 'n': 96, 'trace_an': 0}
-
id: 150884238
{'hecke_orbit_code': 63050394816774496, 'n': 97, 'trace_an': -14}
-
id: 150884239
{'hecke_orbit_code': 63050394816774496, 'n': 98, 'trace_an': 0}
-
id: 150884240
{'hecke_orbit_code': 63050394816774496, 'n': 99, 'trace_an': 0}
-
id: 150884241
{'hecke_orbit_code': 63050394816774496, 'n': 100, 'trace_an': 0}