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mf_newforms • Show schema
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{'Nk2': 44100, 'analytic_conductor': 88.03506822846163, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [7, 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': [11025, 1, [1226, 4852, 9901], [49, 49, 49]], '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': 49, 'hecke_orbit_code': 216172782147349265, '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': '11025.2.a.bw', 'level': 11025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, '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': '11025.2.a', 'trace_display': [-2, 0, 0, 0], 'traces': [2, -2, 0, 4, 0, 0, 0, -12, 0, 0, 2, 0, -8, 0, 0, 16, 10, 0, 2, 0, 0, 4, -6, 0, 0, 2, 0, 0, -2, 0, 6, -16, 0, -4, 0, 0, -4, -14, 0, 0, -2, 0, 4, -8, 0, 12, 4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, -16, -10, 0, 8, 6, 0, 32, 0, 0, 12, 8, 0, 0, -2, 0, -8, -14, 0, 28, 0, 0, 6, 0, 0, -4, 6, 0, 0, 14, 0, 0, -6, 0, 0, -24, 0, -4, 0, 0, -16, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 11025.2.a.bw does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [28, 33, 37, 32, 45, 45, 46, 51], 'ALdims_eis_new': [0, 0, 0, 0, 2, 3, 4, 6], 'ALdims_eis_old': [23, 24, 24, 24, 22, 21, 20, 18], 'ALdims_old': [165, 171, 163, 164, 159, 147, 150, 149], 'Nk2': 44100, 'analytic_conductor': 88.03506822846163, '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': [11025, 1, [1226, 4852, 9901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1585, 'dim': 317, 'eis_dim': 191, 'eis_new_dim': 15, 'hecke_orbit_code': 33565457, '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, 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, 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, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], 'label': '11025.2.a', 'level': 11025, '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, 7], 'level_radical': 105, 'mf_dim': 1776, 'mf_new_dim': 332, 'num_forms': 125, 'plus_dim': 151, 'prim_orbit_index': 1, 'relative_dim': 317, 'sturm_bound': 3360, 'trace_display': [3, 0, 0, 0], 'traces': [317, 3, 0, 307, 0, 0, 0, 3, 0, 0, -4, 0, -4, 0, 0, 283, 8, 0, -20, 0, 0, 4, -4, 0, 0, -12, 0, 0, -2, 0, -8, 19, 0, -20, 0, 0, 14, -24, 0, 0, -16, 0, -4, -36, 0, 40, -28, 0, 0, 0, 0, -32, 18, 0, 0, 0, 0, 38, 0, 0, -12, -24, 0, 263, 0, 0, -4, 20, 0, 0, 8, 0, 16, 10, 0, 4, 0, 0, -16, 0, 0, 24, 0, 0, 0, 36, 0, -20, 56, 0, 0, -92, 0, 52, 0, 0, 4, 0, 0, 0, 0, 0, -12, -40, 0, 50, 48, 0, 10, 0, 0, 0, 58, 0, 0, -54, 0, 0, 0, 0, 265, 52, 0, -64, 0, 0, 44, -85, 0, 0, 0, 0, 0, 52, 0, -20, 26, 0, -28, 0, 0, -88, -36, 0, 0, -12, 0, 118, 2, 0, -20, -112, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 36, -24, 0, 28, 4, 0, 207, 0, 0, 0, 32, 0, 0, -120, 0, 104, 20, 0, -68, 0, 0, 108, 0, 0, 44, 48, 0, 0, -28, 0, 54, 188, 0, 0, -6, 0, 32, 0, 0, 96, 0, 0, 0, 44, 0, -32, 100, 0, 44, 102, 0, 20, 0, 0, 0, -10, 0, 0, 24, 0, -20, 0, 0, -42, 20, 0, -48, 0, 0, 214, 78, 0, 0, 80, 0, 0, 44, 0, -104, 135, 0, 88, 0, 0, 36, -8, 0, 0, 104, 0, 8, -52, 0, 227, -100, 0, 0, 0, 0, -32, -12, 0, 0, 0, 0, 104, -148, 0, -84, -36, 0, 62, 0, 0, 66, 40, 0, 0, -62, 0, -84, 164, 0, 300, 0, 0, 155, 0, 0, 88, -48, 0, 0, 34, 0, -94, 96, 0, 0, 88, 0, 180, 0, 0, -52, 0, 0, 0, 52, 0, -44, 8, 0, 40, 58, 0, -4, 0, 0, 0, 88, 0, 0, 36, 0, 0, 0, 0, 12, 48, 0, 92, 0, 0, -46, 61, 0, 0, -64, 0, 0, 272, 0, 272, 48, 0, -44, 0, 0, 76, -32, 0, 0, 60, 0, -252, -164, 0, 225, -156, 0, 0, 0, 0, 4, -252, 0, 0, 0, 0, -62, 48, 0, 296, -12, 0, -40, 0, 0, 120, 64, 0, 0, 210, 0, 16, -214, 0, 80, 0, 0, 14, 0, 0, 132, 104, 0, 0, -62, 0, 68, 64, 0, 0, -116, 0, -40, 0, 0, 120, 0, 0, 0, -20, 0, -72, 116, 0, 38, 244, 0, 90, 0, 0, 0, 24, 0, 0, -96, 0, 72, 0, 0, 126, 88, 0, 8, 0, 0, 184, 16, 0, 0, 196, 0, 0, -94, 0, -4, 378, 0, 20, 0, 0, 30, 52, 0, 0, -48, 0, 16, 66, 0, 82, -156, 0, 0, 0, 0, 64, 100, 0, 0, 0, 0, -176, 16, 0, -108, -76, 0, 43, 0, 0, -220, 84, 0, 0, 132, 0, 108, -340, 0, -84, 0, 0, 144, 0, 0, 136, -124, 0, 0, 196, 0, -80, -84, 0, 0, -29, 0, -128, 0, 0, 76, 0, 0, 0, -96, 0, -56, 112, 0, -288, -176, 0, 33, 0, 0, 0, -100, 0, 0, 156, 0, -152, 0, 0, -98, 24, 0, -100, 0, 0, 32, -306, 0, 0, -244, 0, 0, 390, 0, -212, 102, 0, 136, 0, 0, 110, 8, 0, 0, -400, 0, -256, -226, 0, -16, -152, 0, 0, 0, 0, -140, 197, 0, 0, 0, 0, -40, -32, 0, -56, 40, 0, 112, 0, 0, 102, 80, 0, 0, 526, 0, -368, -200, 0, -216, 0, 0, -324, 0, 0, 92, 96, 0, 0, 84, 0, 306, 324, 0, 0, -26, 0, 16, 0, 0, -128, 0, 0, 0, -60, 0, 80, -232, 0, 8, 144, 0, -278, 0, 0, 0, -328, 0, 0, -102, 0, 156, 0, 0, -100, -64, 0, -340, 0, 0, 164, 50, 0, 0, 52, 0, 0, -72, 0, 36, 168, 0, 44, 0, 0, -20, 64, 0, 0, 208, 0, -302, 2, 0, 173, -120, 0, 0, 0, 0, -128, -336, 0, 0, 0, 0, -24, -232, 0, 36, -52, 0, -172, 0, 0, -160, -36, 0, 0, -178, 0, 40, -32, 0, -160, 0, 0, 74, 0, 0, 96, -104, 0, 0, 796, 0, -256, 264, 0, 0, -93, 0, -288, 0, 0, -40, 0, 0, 0, -36, 0, -44, 172, 0, 60, -172, 0, 140, 0, 0, 0, -240, 0, 0, -6, 0, -64, 0, 0, 32, 72, 0, -68, 0, 0, 186, -80, 0, 0, -12, 0, 0, -36, 0, -204, -128, 0, -308, 0, 0, -66, -48, 0, 0, 344, 0, 266, 280, 0, 24, -56, 0, 0, 0, 0, 140, 150, 0, 0, 0, 0, 16, -180, 0, 100, -32, 0, 108, 0, 0, -62, 112, 0, 0, 48, 0, 336, 206, 0, 36, 0, 0, 268, 0, 0, -160, 164, 0, 0, -262, 0, 84, 88, 0, 0, -68, 0, -92, 0, 0, 8, 0, 0, 0, -92, 0, 16, -72, 0, -213, 314, 0, 244, 0, 0, 0, 358, 0, 0, 316, 0, 8, 0, 0, -80, 76, 0, 88, 0, 0, 112, -80, 0, 0, 72, 0, 0, 424, 0, 144, -310, 0, -52, 0, 0, -62, 16, 0, 0, 232, 0, -168, 208, 0, -280, -48, 0, 0, 0, 0, -48, -252, 0, 0, 0, 0, -162, 264, 0, 128, -80, 0, -434, 0, 0, -44, -56, 0, 0, -292, 0, -304, 106, 0, 232, 0, 0, 124, 0, 0, -72, -88, 0, 0, -580, 0, 142, -100, 0, 0, 454, 0, -308, 0, 0, -164, 0, 0, 0, -4, 0, 80, 116, 0, 196, 52, 0, 260, 0, 0, 0, 206, 0, 0, 4, 0, -64, 0, 0, -103, 0, 0, -328, 0, 0, -24, 111, 0, 0, 156, 0, 0, 40, 0, 396, 94, 0, 180, 0, 0, -12, -36, 0, 0, -504, 0, 96, -200, 0, -12, 40, 0, 0, 0, 0, -188, 176, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 11025.2.a.bw does not appear in mf_twists_nf
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hecke_orbit_code 216172782147349265 does not appear in mf_hecke_charpolys
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label 11025.2.a.bw does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 172564842
{'hecke_orbit_code': 216172782147349265, 'n': 1, 'trace_an': 2}
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id: 172564843
{'hecke_orbit_code': 216172782147349265, 'n': 2, 'trace_an': -2}
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id: 172564844
{'hecke_orbit_code': 216172782147349265, 'n': 3, 'trace_an': 0}
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id: 172564845
{'hecke_orbit_code': 216172782147349265, 'n': 4, 'trace_an': 4}
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id: 172564846
{'hecke_orbit_code': 216172782147349265, 'n': 5, 'trace_an': 0}
-
id: 172564847
{'hecke_orbit_code': 216172782147349265, 'n': 6, 'trace_an': 0}
-
id: 172564848
{'hecke_orbit_code': 216172782147349265, 'n': 7, 'trace_an': 0}
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id: 172564849
{'hecke_orbit_code': 216172782147349265, 'n': 8, 'trace_an': -12}
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id: 172564850
{'hecke_orbit_code': 216172782147349265, 'n': 9, 'trace_an': 0}
-
id: 172564851
{'hecke_orbit_code': 216172782147349265, 'n': 10, 'trace_an': 0}
-
id: 172564852
{'hecke_orbit_code': 216172782147349265, 'n': 11, 'trace_an': 2}
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id: 172564853
{'hecke_orbit_code': 216172782147349265, 'n': 12, 'trace_an': 0}
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id: 172564854
{'hecke_orbit_code': 216172782147349265, 'n': 13, 'trace_an': -8}
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id: 172564855
{'hecke_orbit_code': 216172782147349265, 'n': 14, 'trace_an': 0}
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id: 172564856
{'hecke_orbit_code': 216172782147349265, 'n': 15, 'trace_an': 0}
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id: 172564857
{'hecke_orbit_code': 216172782147349265, 'n': 16, 'trace_an': 16}
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id: 172564858
{'hecke_orbit_code': 216172782147349265, 'n': 17, 'trace_an': 10}
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id: 172564859
{'hecke_orbit_code': 216172782147349265, 'n': 18, 'trace_an': 0}
-
id: 172564860
{'hecke_orbit_code': 216172782147349265, 'n': 19, 'trace_an': 2}
-
id: 172564861
{'hecke_orbit_code': 216172782147349265, 'n': 20, 'trace_an': 0}
-
id: 172564862
{'hecke_orbit_code': 216172782147349265, 'n': 21, 'trace_an': 0}
-
id: 172564863
{'hecke_orbit_code': 216172782147349265, 'n': 22, 'trace_an': 4}
-
id: 172564864
{'hecke_orbit_code': 216172782147349265, 'n': 23, 'trace_an': -6}
-
id: 172564865
{'hecke_orbit_code': 216172782147349265, 'n': 24, 'trace_an': 0}
-
id: 172564866
{'hecke_orbit_code': 216172782147349265, 'n': 25, 'trace_an': 0}
-
id: 172564867
{'hecke_orbit_code': 216172782147349265, 'n': 26, 'trace_an': 2}
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id: 172564868
{'hecke_orbit_code': 216172782147349265, 'n': 27, 'trace_an': 0}
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id: 172564869
{'hecke_orbit_code': 216172782147349265, 'n': 28, 'trace_an': 0}
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id: 172564870
{'hecke_orbit_code': 216172782147349265, 'n': 29, 'trace_an': -2}
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id: 172564871
{'hecke_orbit_code': 216172782147349265, 'n': 30, 'trace_an': 0}
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id: 172564872
{'hecke_orbit_code': 216172782147349265, 'n': 31, 'trace_an': 6}
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id: 172564873
{'hecke_orbit_code': 216172782147349265, 'n': 32, 'trace_an': -16}
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id: 172564874
{'hecke_orbit_code': 216172782147349265, 'n': 33, 'trace_an': 0}
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id: 172564875
{'hecke_orbit_code': 216172782147349265, 'n': 34, 'trace_an': -4}
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id: 172564876
{'hecke_orbit_code': 216172782147349265, 'n': 35, 'trace_an': 0}
-
id: 172564877
{'hecke_orbit_code': 216172782147349265, 'n': 36, 'trace_an': 0}
-
id: 172564878
{'hecke_orbit_code': 216172782147349265, 'n': 37, 'trace_an': -4}
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id: 172564879
{'hecke_orbit_code': 216172782147349265, 'n': 38, 'trace_an': -14}
-
id: 172564880
{'hecke_orbit_code': 216172782147349265, 'n': 39, 'trace_an': 0}
-
id: 172564881
{'hecke_orbit_code': 216172782147349265, 'n': 40, 'trace_an': 0}
-
id: 172564882
{'hecke_orbit_code': 216172782147349265, 'n': 41, 'trace_an': -2}
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id: 172564883
{'hecke_orbit_code': 216172782147349265, 'n': 42, 'trace_an': 0}
-
id: 172564884
{'hecke_orbit_code': 216172782147349265, 'n': 43, 'trace_an': 4}
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id: 172564885
{'hecke_orbit_code': 216172782147349265, 'n': 44, 'trace_an': -8}
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id: 172564886
{'hecke_orbit_code': 216172782147349265, 'n': 45, 'trace_an': 0}
-
id: 172564887
{'hecke_orbit_code': 216172782147349265, 'n': 46, 'trace_an': 12}
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id: 172564888
{'hecke_orbit_code': 216172782147349265, 'n': 47, 'trace_an': 4}
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id: 172564889
{'hecke_orbit_code': 216172782147349265, 'n': 48, 'trace_an': 0}
-
id: 172564890
{'hecke_orbit_code': 216172782147349265, 'n': 49, 'trace_an': 0}
-
id: 172564891
{'hecke_orbit_code': 216172782147349265, 'n': 50, 'trace_an': 0}
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id: 172564892
{'hecke_orbit_code': 216172782147349265, 'n': 51, 'trace_an': 0}
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id: 172564893
{'hecke_orbit_code': 216172782147349265, 'n': 52, 'trace_an': -4}
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id: 172564894
{'hecke_orbit_code': 216172782147349265, 'n': 53, 'trace_an': 4}
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id: 172564895
{'hecke_orbit_code': 216172782147349265, 'n': 54, 'trace_an': 0}
-
id: 172564896
{'hecke_orbit_code': 216172782147349265, 'n': 55, 'trace_an': 0}
-
id: 172564897
{'hecke_orbit_code': 216172782147349265, 'n': 56, 'trace_an': 0}
-
id: 172564898
{'hecke_orbit_code': 216172782147349265, 'n': 57, 'trace_an': 0}
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id: 172564899
{'hecke_orbit_code': 216172782147349265, 'n': 58, 'trace_an': -16}
-
id: 172564900
{'hecke_orbit_code': 216172782147349265, 'n': 59, 'trace_an': -10}
-
id: 172564901
{'hecke_orbit_code': 216172782147349265, 'n': 60, 'trace_an': 0}
-
id: 172564902
{'hecke_orbit_code': 216172782147349265, 'n': 61, 'trace_an': 8}
-
id: 172564903
{'hecke_orbit_code': 216172782147349265, 'n': 62, 'trace_an': 6}
-
id: 172564904
{'hecke_orbit_code': 216172782147349265, 'n': 63, 'trace_an': 0}
-
id: 172564905
{'hecke_orbit_code': 216172782147349265, 'n': 64, 'trace_an': 32}
-
id: 172564906
{'hecke_orbit_code': 216172782147349265, 'n': 65, 'trace_an': 0}
-
id: 172564907
{'hecke_orbit_code': 216172782147349265, 'n': 66, 'trace_an': 0}
-
id: 172564908
{'hecke_orbit_code': 216172782147349265, 'n': 67, 'trace_an': 12}
-
id: 172564909
{'hecke_orbit_code': 216172782147349265, 'n': 68, 'trace_an': 8}
-
id: 172564910
{'hecke_orbit_code': 216172782147349265, 'n': 69, 'trace_an': 0}
-
id: 172564911
{'hecke_orbit_code': 216172782147349265, 'n': 70, 'trace_an': 0}
-
id: 172564912
{'hecke_orbit_code': 216172782147349265, 'n': 71, 'trace_an': -2}
-
id: 172564913
{'hecke_orbit_code': 216172782147349265, 'n': 72, 'trace_an': 0}
-
id: 172564914
{'hecke_orbit_code': 216172782147349265, 'n': 73, 'trace_an': -8}
-
id: 172564915
{'hecke_orbit_code': 216172782147349265, 'n': 74, 'trace_an': -14}
-
id: 172564916
{'hecke_orbit_code': 216172782147349265, 'n': 75, 'trace_an': 0}
-
id: 172564917
{'hecke_orbit_code': 216172782147349265, 'n': 76, 'trace_an': 28}
-
id: 172564918
{'hecke_orbit_code': 216172782147349265, 'n': 77, 'trace_an': 0}
-
id: 172564919
{'hecke_orbit_code': 216172782147349265, 'n': 78, 'trace_an': 0}
-
id: 172564920
{'hecke_orbit_code': 216172782147349265, 'n': 79, 'trace_an': 6}
-
id: 172564921
{'hecke_orbit_code': 216172782147349265, 'n': 80, 'trace_an': 0}
-
id: 172564922
{'hecke_orbit_code': 216172782147349265, 'n': 81, 'trace_an': 0}
-
id: 172564923
{'hecke_orbit_code': 216172782147349265, 'n': 82, 'trace_an': -4}
-
id: 172564924
{'hecke_orbit_code': 216172782147349265, 'n': 83, 'trace_an': 6}
-
id: 172564925
{'hecke_orbit_code': 216172782147349265, 'n': 84, 'trace_an': 0}
-
id: 172564926
{'hecke_orbit_code': 216172782147349265, 'n': 85, 'trace_an': 0}
-
id: 172564927
{'hecke_orbit_code': 216172782147349265, 'n': 86, 'trace_an': 14}
-
id: 172564928
{'hecke_orbit_code': 216172782147349265, 'n': 87, 'trace_an': 0}
-
id: 172564929
{'hecke_orbit_code': 216172782147349265, 'n': 88, 'trace_an': 0}
-
id: 172564930
{'hecke_orbit_code': 216172782147349265, 'n': 89, 'trace_an': -6}
-
id: 172564931
{'hecke_orbit_code': 216172782147349265, 'n': 90, 'trace_an': 0}
-
id: 172564932
{'hecke_orbit_code': 216172782147349265, 'n': 91, 'trace_an': 0}
-
id: 172564933
{'hecke_orbit_code': 216172782147349265, 'n': 92, 'trace_an': -24}
-
id: 172564934
{'hecke_orbit_code': 216172782147349265, 'n': 93, 'trace_an': 0}
-
id: 172564935
{'hecke_orbit_code': 216172782147349265, 'n': 94, 'trace_an': -4}
-
id: 172564936
{'hecke_orbit_code': 216172782147349265, 'n': 95, 'trace_an': 0}
-
id: 172564937
{'hecke_orbit_code': 216172782147349265, 'n': 96, 'trace_an': 0}
-
id: 172564938
{'hecke_orbit_code': 216172782147349265, 'n': 97, 'trace_an': -16}
-
id: 172564939
{'hecke_orbit_code': 216172782147349265, 'n': 98, 'trace_an': 0}
-
id: 172564940
{'hecke_orbit_code': 216172782147349265, 'n': 99, 'trace_an': 0}
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id: 172564941
{'hecke_orbit_code': 216172782147349265, 'n': 100, 'trace_an': 0}