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mf_newforms • Show schema
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{'Nk2': 182952, 'analytic_conductor': 365.2197687649322, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [11, -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': [45738, 1, [38963, 19603, 42715], [19, 19, 19]], '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': 19, 'hecke_orbit_code': 81064793326269098, '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': '45738.2.a.s', 'level': 45738, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/45738/s'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45738.2.a', 'trace_display': [-1, 0, -1, 1], 'traces': [1, -1, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 1, -1, 0, 1, 1, 0, 0, -1, 0, 0, 7, 0, -4, -1, 0, 1, 8, 0, 4, -1, 0, -1, -1, 0, -8, 0, 0, 1, -1, 0, 2, 0, 0, -7, 8, 0, 1, 4, 0, 1, -3, 0, 0, -1, 0, -8, -12, 0, 11, -4, 0, 1, -1, 0, -9, 1, 0, 1, -8, 0, 14, 8, 0, 0, 0, 0, -9, -1, 0, 1, -9, 0, -1, -2, 0, 0, 0, 0, 1, 7, 0, -8, 0, 0, -5, -1, 0, -4], 'weight': 2, 'weight_parity': 1}
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label 45738.2.a.s does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [53, 55, 55, 55, 55, 55, 53, 55, 59, 50, 49, 60, 49, 60, 59, 50], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [512, 548, 533, 527, 545, 518, 535, 527, 529, 532, 533, 531, 539, 522, 523, 535], 'Nk2': 182952, 'analytic_conductor': 365.2197687649322, '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': [45738, 1, [38963, 19603, 42715], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 9361, 'dim': 872, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33600170, '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, 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, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '45738.2.a', 'level': 45738, '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, 7, 11], 'level_radical': 462, 'mf_dim': 9648, 'mf_new_dim': 872, 'num_forms': 242, 'plus_dim': 414, 'prim_orbit_index': 1, 'relative_dim': 872, 'sturm_bound': 19008, 'trace_display': [0, 0, 0, 0], 'traces': [872, 0, 0, 872, 0, 0, 0, 0, 0, 16, 0, 0, 24, 0, 0, 872, 0, 0, 8, 0, 0, 0, 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0, 80, 0, 0, 24, 0, 0, -32, 0, 0, -44, 0, 0, 0, 0, 0, 208, 0, 0, 104, 0, 0, 752, 0, 0, 8, 0, 0, -64, 0, 0, 64, 0, 0, 24, 0, 0, 16, 0, 0, 200, 0, 0, 120, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -8, 0, 0, 376, 0, 0, -8, 0, 0, 220, 0, 0, -192, 0, 0, -44, 0, 0, 876, 0, 0, 80, 0, 0, 0, 0, 0, 248, 0, 0, 12, 0, 0, 248, 0, 0, 164, 0, 0, 96, 0, 0, 16, 0, 0, 8, 0, 0, 136, 0, 0, 196, 0, 0, -8, 0, 0, 0, 0, 0, 116, 0, 0, 8, 0, 0, 104, 0, 0, 216, 0, 0, 216, 0, 0, 112, 0, 0, 8, 0, 0, 32, 0, 0, 24, 0, 0, 384, 0, 0, 0, 0, 0, 576, 0, 0, 120, 0, 0, 480, 0, 0, -4, 0, 0, 56, 0, 0, -32, 0, 0, 32, 0, 0, 44, 0, 0, 184, 0, 0, 184, 0, 0, 0, 0, 0, 872, 0, 0, 240, 0, 0, -48, 0, 0, -120, 0, 0, -80, 0, 0, -16, 0, 0, 16, 0, 0, -28, 0, 0, -40, 0, 0, 368, 0, 0, 0, 0, 0, -72, 0, 0, -36, 0, 0, 40, 0, 0, 76, 0, 0, -16, 0, 0, 24, 0, 0, 224, 0, 0, 56, 0, 0, 1036, 0, 0, 84, 0, 0, 0, 0, 0, 200, 0, 0, 224, 0, 0, -112, 0, 0, 320, 0, 0, 244, 0, 0, 276, 0, 0, 64, 0, 0, 40, 0, 0, -64, 0, 0, -40, 0, 0, 0, 0, 0, 364, 0, 0, -84, 0, 0, -128, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, 416, 0, 0, 88, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 208, 0, 0, 240, 0, 0, 280, 0, 0, 20, 0, 0, 8, 0, 0, -96, 0, 0, -264, 0, 0, 40, 0, 0, 152, 0, 0, 0, 0, 0, 256, 0, 0, -36, 0, 0, -128, 0, 0, 24, 0, 0, 1032, 0, 0, 104, 0, 0, 8, 0, 0, -128, 0, 0, 56, 0, 0, 48, 0, 0, 0, 0, 0, -284, 0, 0, 104, 0, 0, -88, 0, 0, 256, 0, 0, -56, 0, 0, -264, 0, 0, 120], 'weight': 2, 'weight_parity': 1}
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source_label 45738.2.a.s does not appear in mf_twists_nf
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hecke_orbit_code 81064793326269098 does not appear in mf_hecke_charpolys
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label 45738.2.a.s does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 155869042
{'hecke_orbit_code': 81064793326269098, 'n': 1, 'trace_an': 1}
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id: 155869043
{'hecke_orbit_code': 81064793326269098, 'n': 2, 'trace_an': -1}
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id: 155869044
{'hecke_orbit_code': 81064793326269098, 'n': 3, 'trace_an': 0}
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id: 155869045
{'hecke_orbit_code': 81064793326269098, 'n': 4, 'trace_an': 1}
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id: 155869046
{'hecke_orbit_code': 81064793326269098, 'n': 5, 'trace_an': -1}
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id: 155869047
{'hecke_orbit_code': 81064793326269098, 'n': 6, 'trace_an': 0}
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id: 155869048
{'hecke_orbit_code': 81064793326269098, 'n': 7, 'trace_an': 1}
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id: 155869049
{'hecke_orbit_code': 81064793326269098, 'n': 8, 'trace_an': -1}
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id: 155869050
{'hecke_orbit_code': 81064793326269098, 'n': 9, 'trace_an': 0}
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id: 155869051
{'hecke_orbit_code': 81064793326269098, 'n': 10, 'trace_an': 1}
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id: 155869052
{'hecke_orbit_code': 81064793326269098, 'n': 11, 'trace_an': 0}
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id: 155869053
{'hecke_orbit_code': 81064793326269098, 'n': 12, 'trace_an': 0}
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id: 155869054
{'hecke_orbit_code': 81064793326269098, 'n': 13, 'trace_an': 1}
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id: 155869055
{'hecke_orbit_code': 81064793326269098, 'n': 14, 'trace_an': -1}
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id: 155869056
{'hecke_orbit_code': 81064793326269098, 'n': 15, 'trace_an': 0}
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id: 155869057
{'hecke_orbit_code': 81064793326269098, 'n': 16, 'trace_an': 1}
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id: 155869058
{'hecke_orbit_code': 81064793326269098, 'n': 17, 'trace_an': 1}
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id: 155869059
{'hecke_orbit_code': 81064793326269098, 'n': 18, 'trace_an': 0}
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id: 155869060
{'hecke_orbit_code': 81064793326269098, 'n': 19, 'trace_an': 0}
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id: 155869061
{'hecke_orbit_code': 81064793326269098, 'n': 20, 'trace_an': -1}
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id: 155869062
{'hecke_orbit_code': 81064793326269098, 'n': 21, 'trace_an': 0}
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id: 155869063
{'hecke_orbit_code': 81064793326269098, 'n': 22, 'trace_an': 0}
-
id: 155869064
{'hecke_orbit_code': 81064793326269098, 'n': 23, 'trace_an': 7}
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id: 155869065
{'hecke_orbit_code': 81064793326269098, 'n': 24, 'trace_an': 0}
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id: 155869066
{'hecke_orbit_code': 81064793326269098, 'n': 25, 'trace_an': -4}
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id: 155869067
{'hecke_orbit_code': 81064793326269098, 'n': 26, 'trace_an': -1}
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id: 155869068
{'hecke_orbit_code': 81064793326269098, 'n': 27, 'trace_an': 0}
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id: 155869069
{'hecke_orbit_code': 81064793326269098, 'n': 28, 'trace_an': 1}
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id: 155869070
{'hecke_orbit_code': 81064793326269098, 'n': 29, 'trace_an': 8}
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id: 155869071
{'hecke_orbit_code': 81064793326269098, 'n': 30, 'trace_an': 0}
-
id: 155869072
{'hecke_orbit_code': 81064793326269098, 'n': 31, 'trace_an': 4}
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id: 155869073
{'hecke_orbit_code': 81064793326269098, 'n': 32, 'trace_an': -1}
-
id: 155869074
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id: 155869075
{'hecke_orbit_code': 81064793326269098, 'n': 34, 'trace_an': -1}
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id: 155869076
{'hecke_orbit_code': 81064793326269098, 'n': 35, 'trace_an': -1}
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id: 155869077
{'hecke_orbit_code': 81064793326269098, 'n': 36, 'trace_an': 0}
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id: 155869078
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id: 155869079
{'hecke_orbit_code': 81064793326269098, 'n': 38, 'trace_an': 0}
-
id: 155869080
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-
id: 155869081
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-
id: 155869082
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id: 155869083
{'hecke_orbit_code': 81064793326269098, 'n': 42, 'trace_an': 0}
-
id: 155869084
{'hecke_orbit_code': 81064793326269098, 'n': 43, 'trace_an': 2}
-
id: 155869085
{'hecke_orbit_code': 81064793326269098, 'n': 44, 'trace_an': 0}
-
id: 155869086
{'hecke_orbit_code': 81064793326269098, 'n': 45, 'trace_an': 0}
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id: 155869087
{'hecke_orbit_code': 81064793326269098, 'n': 46, 'trace_an': -7}
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id: 155869088
{'hecke_orbit_code': 81064793326269098, 'n': 47, 'trace_an': 8}
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id: 155869089
{'hecke_orbit_code': 81064793326269098, 'n': 48, 'trace_an': 0}
-
id: 155869090
{'hecke_orbit_code': 81064793326269098, 'n': 49, 'trace_an': 1}
-
id: 155869091
{'hecke_orbit_code': 81064793326269098, 'n': 50, 'trace_an': 4}
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id: 155869092
{'hecke_orbit_code': 81064793326269098, 'n': 51, 'trace_an': 0}
-
id: 155869093
{'hecke_orbit_code': 81064793326269098, 'n': 52, 'trace_an': 1}
-
id: 155869094
{'hecke_orbit_code': 81064793326269098, 'n': 53, 'trace_an': -3}
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id: 155869095
{'hecke_orbit_code': 81064793326269098, 'n': 54, 'trace_an': 0}
-
id: 155869096
{'hecke_orbit_code': 81064793326269098, 'n': 55, 'trace_an': 0}
-
id: 155869097
{'hecke_orbit_code': 81064793326269098, 'n': 56, 'trace_an': -1}
-
id: 155869098
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-
id: 155869099
{'hecke_orbit_code': 81064793326269098, 'n': 58, 'trace_an': -8}
-
id: 155869100
{'hecke_orbit_code': 81064793326269098, 'n': 59, 'trace_an': -12}
-
id: 155869101
{'hecke_orbit_code': 81064793326269098, 'n': 60, 'trace_an': 0}
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id: 155869102
{'hecke_orbit_code': 81064793326269098, 'n': 61, 'trace_an': 11}
-
id: 155869103
{'hecke_orbit_code': 81064793326269098, 'n': 62, 'trace_an': -4}
-
id: 155869104
{'hecke_orbit_code': 81064793326269098, 'n': 63, 'trace_an': 0}
-
id: 155869105
{'hecke_orbit_code': 81064793326269098, 'n': 64, 'trace_an': 1}
-
id: 155869106
{'hecke_orbit_code': 81064793326269098, 'n': 65, 'trace_an': -1}
-
id: 155869107
{'hecke_orbit_code': 81064793326269098, 'n': 66, 'trace_an': 0}
-
id: 155869108
{'hecke_orbit_code': 81064793326269098, 'n': 67, 'trace_an': -9}
-
id: 155869109
{'hecke_orbit_code': 81064793326269098, 'n': 68, 'trace_an': 1}
-
id: 155869110
{'hecke_orbit_code': 81064793326269098, 'n': 69, 'trace_an': 0}
-
id: 155869111
{'hecke_orbit_code': 81064793326269098, 'n': 70, 'trace_an': 1}
-
id: 155869112
{'hecke_orbit_code': 81064793326269098, 'n': 71, 'trace_an': -8}
-
id: 155869113
{'hecke_orbit_code': 81064793326269098, 'n': 72, 'trace_an': 0}
-
id: 155869114
{'hecke_orbit_code': 81064793326269098, 'n': 73, 'trace_an': 14}
-
id: 155869115
{'hecke_orbit_code': 81064793326269098, 'n': 74, 'trace_an': 8}
-
id: 155869116
{'hecke_orbit_code': 81064793326269098, 'n': 75, 'trace_an': 0}
-
id: 155869117
{'hecke_orbit_code': 81064793326269098, 'n': 76, 'trace_an': 0}
-
id: 155869118
{'hecke_orbit_code': 81064793326269098, 'n': 77, 'trace_an': 0}
-
id: 155869119
{'hecke_orbit_code': 81064793326269098, 'n': 78, 'trace_an': 0}
-
id: 155869120
{'hecke_orbit_code': 81064793326269098, 'n': 79, 'trace_an': -9}
-
id: 155869121
{'hecke_orbit_code': 81064793326269098, 'n': 80, 'trace_an': -1}
-
id: 155869122
{'hecke_orbit_code': 81064793326269098, 'n': 81, 'trace_an': 0}
-
id: 155869123
{'hecke_orbit_code': 81064793326269098, 'n': 82, 'trace_an': 1}
-
id: 155869124
{'hecke_orbit_code': 81064793326269098, 'n': 83, 'trace_an': -9}
-
id: 155869125
{'hecke_orbit_code': 81064793326269098, 'n': 84, 'trace_an': 0}
-
id: 155869126
{'hecke_orbit_code': 81064793326269098, 'n': 85, 'trace_an': -1}
-
id: 155869127
{'hecke_orbit_code': 81064793326269098, 'n': 86, 'trace_an': -2}
-
id: 155869128
{'hecke_orbit_code': 81064793326269098, 'n': 87, 'trace_an': 0}
-
id: 155869129
{'hecke_orbit_code': 81064793326269098, 'n': 88, 'trace_an': 0}
-
id: 155869130
{'hecke_orbit_code': 81064793326269098, 'n': 89, 'trace_an': 0}
-
id: 155869131
{'hecke_orbit_code': 81064793326269098, 'n': 90, 'trace_an': 0}
-
id: 155869132
{'hecke_orbit_code': 81064793326269098, 'n': 91, 'trace_an': 1}
-
id: 155869133
{'hecke_orbit_code': 81064793326269098, 'n': 92, 'trace_an': 7}
-
id: 155869134
{'hecke_orbit_code': 81064793326269098, 'n': 93, 'trace_an': 0}
-
id: 155869135
{'hecke_orbit_code': 81064793326269098, 'n': 94, 'trace_an': -8}
-
id: 155869136
{'hecke_orbit_code': 81064793326269098, 'n': 95, 'trace_an': 0}
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id: 155869137
{'hecke_orbit_code': 81064793326269098, 'n': 96, 'trace_an': 0}
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id: 155869138
{'hecke_orbit_code': 81064793326269098, 'n': 97, 'trace_an': -5}
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id: 155869139
{'hecke_orbit_code': 81064793326269098, 'n': 98, 'trace_an': -1}
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id: 155869140
{'hecke_orbit_code': 81064793326269098, 'n': 99, 'trace_an': 0}
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id: 155869141
{'hecke_orbit_code': 81064793326269098, 'n': 100, 'trace_an': -4}