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mf_newforms • Show schema
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{'Nk2': 91392, 'analytic_conductor': 182.44219853822142, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, 1], [17, -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': [22848, 1, [13567, 18565, 15233, 3265, 2689], [21, 21, 21, 21, 21]], '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': 21, 'hecke_orbit_code': 90071992580987200, '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': '22848.2.a.u', 'level': 22848, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 17], 'level_radical': 714, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}-q^{7}+q^{9}-5q^{11}+5q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/22848/u'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22848.2.a', 'trace_display': [0, -1, 1, -1], 'traces': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -5, 0, 5, 0, -1, 0, 1, 0, 2, 0, 1, 0, -2, 0, -4, 0, -1, 0, -2, 0, 8, 0, 5, 0, -1, 0, -7, 0, -5, 0, -12, 0, -5, 0, 1, 0, -12, 0, 1, 0, -1, 0, 1, 0, -5, 0, -2, 0, -4, 0, 14, 0, -1, 0, 5, 0, 1, 0, 2, 0, 8, 0, 3, 0, 4, 0, 5, 0, 1, 0, 1, 0, -5, 0, 1, 0, 2, 0, -9, 0, -5, 0, -8, 0, 2, 0, 15, 0, -5, 0], 'weight': 2, 'weight_parity': 1}
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label 22848.2.a.u does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [24, 23, 27, 22, 23, 24, 22, 27, 24, 25, 21, 26, 25, 24, 26, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [244, 276, 268, 257, 252, 275, 265, 252, 269, 256, 264, 255, 260, 257, 267, 260], 'Nk2': 91392, 'analytic_conductor': 182.44219853822142, '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': [22848, 1, [13567, 18565, 15233, 3265, 2689], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4561, 'dim': 384, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33577280, '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, 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, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8], 'label': '22848.2.a', 'level': 22848, '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, 17], 'level_radical': 714, 'mf_dim': 4656, 'mf_new_dim': 384, 'num_forms': 164, 'plus_dim': 184, 'prim_orbit_index': 1, 'relative_dim': 384, 'sturm_bound': 9216, 'trace_display': [0, 0, 0, 0], 'traces': [384, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 96, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -128, 0, 0, 0, -320, 0, 0, 0, 384, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 96, 0, 0, 0, 256, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 256, 0, 0, 0, -224, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 384, 0, 0, 0, 288, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 256, 0, 0, 0, 256, 0, 0, 0, 576, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -256, 0, 0, 0, -128, 0, 0, 0, 128, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, -256, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 256, 0, 0, 0, 320, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 22848.2.a.u does not appear in mf_twists_nf
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hecke_orbit_code 90071992580987200 does not appear in mf_hecke_charpolys
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label 22848.2.a.u does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 157319942
{'hecke_orbit_code': 90071992580987200, 'n': 1, 'trace_an': 1}
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id: 157319943
{'hecke_orbit_code': 90071992580987200, 'n': 2, 'trace_an': 0}
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id: 157319944
{'hecke_orbit_code': 90071992580987200, 'n': 3, 'trace_an': -1}
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id: 157319945
{'hecke_orbit_code': 90071992580987200, 'n': 4, 'trace_an': 0}
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id: 157319946
{'hecke_orbit_code': 90071992580987200, 'n': 5, 'trace_an': 1}
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id: 157319947
{'hecke_orbit_code': 90071992580987200, 'n': 6, 'trace_an': 0}
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id: 157319948
{'hecke_orbit_code': 90071992580987200, 'n': 7, 'trace_an': -1}
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id: 157319949
{'hecke_orbit_code': 90071992580987200, 'n': 8, 'trace_an': 0}
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id: 157319950
{'hecke_orbit_code': 90071992580987200, 'n': 9, 'trace_an': 1}
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id: 157319951
{'hecke_orbit_code': 90071992580987200, 'n': 10, 'trace_an': 0}
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id: 157319952
{'hecke_orbit_code': 90071992580987200, 'n': 11, 'trace_an': -5}
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id: 157319953
{'hecke_orbit_code': 90071992580987200, 'n': 12, 'trace_an': 0}
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id: 157319954
{'hecke_orbit_code': 90071992580987200, 'n': 13, 'trace_an': 5}
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id: 157319955
{'hecke_orbit_code': 90071992580987200, 'n': 14, 'trace_an': 0}
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id: 157319956
{'hecke_orbit_code': 90071992580987200, 'n': 15, 'trace_an': -1}
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id: 157319957
{'hecke_orbit_code': 90071992580987200, 'n': 16, 'trace_an': 0}
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id: 157319958
{'hecke_orbit_code': 90071992580987200, 'n': 17, 'trace_an': 1}
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id: 157319959
{'hecke_orbit_code': 90071992580987200, 'n': 18, 'trace_an': 0}
-
id: 157319960
{'hecke_orbit_code': 90071992580987200, 'n': 19, 'trace_an': 2}
-
id: 157319961
{'hecke_orbit_code': 90071992580987200, 'n': 20, 'trace_an': 0}
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id: 157319962
{'hecke_orbit_code': 90071992580987200, 'n': 21, 'trace_an': 1}
-
id: 157319963
{'hecke_orbit_code': 90071992580987200, 'n': 22, 'trace_an': 0}
-
id: 157319964
{'hecke_orbit_code': 90071992580987200, 'n': 23, 'trace_an': -2}
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id: 157319965
{'hecke_orbit_code': 90071992580987200, 'n': 24, 'trace_an': 0}
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id: 157319966
{'hecke_orbit_code': 90071992580987200, 'n': 25, 'trace_an': -4}
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id: 157319967
{'hecke_orbit_code': 90071992580987200, 'n': 26, 'trace_an': 0}
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id: 157319968
{'hecke_orbit_code': 90071992580987200, 'n': 27, 'trace_an': -1}
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id: 157319969
{'hecke_orbit_code': 90071992580987200, 'n': 28, 'trace_an': 0}
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id: 157319970
{'hecke_orbit_code': 90071992580987200, 'n': 29, 'trace_an': -2}
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id: 157319971
{'hecke_orbit_code': 90071992580987200, 'n': 30, 'trace_an': 0}
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id: 157319972
{'hecke_orbit_code': 90071992580987200, 'n': 31, 'trace_an': 8}
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id: 157319973
{'hecke_orbit_code': 90071992580987200, 'n': 32, 'trace_an': 0}
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id: 157319974
{'hecke_orbit_code': 90071992580987200, 'n': 33, 'trace_an': 5}
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id: 157319975
{'hecke_orbit_code': 90071992580987200, 'n': 34, 'trace_an': 0}
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id: 157319976
{'hecke_orbit_code': 90071992580987200, 'n': 35, 'trace_an': -1}
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id: 157319977
{'hecke_orbit_code': 90071992580987200, 'n': 36, 'trace_an': 0}
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id: 157319978
{'hecke_orbit_code': 90071992580987200, 'n': 37, 'trace_an': -7}
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id: 157319979
{'hecke_orbit_code': 90071992580987200, 'n': 38, 'trace_an': 0}
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id: 157319980
{'hecke_orbit_code': 90071992580987200, 'n': 39, 'trace_an': -5}
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id: 157319981
{'hecke_orbit_code': 90071992580987200, 'n': 40, 'trace_an': 0}
-
id: 157319982
{'hecke_orbit_code': 90071992580987200, 'n': 41, 'trace_an': -12}
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id: 157319983
{'hecke_orbit_code': 90071992580987200, 'n': 42, 'trace_an': 0}
-
id: 157319984
{'hecke_orbit_code': 90071992580987200, 'n': 43, 'trace_an': -5}
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id: 157319985
{'hecke_orbit_code': 90071992580987200, 'n': 44, 'trace_an': 0}
-
id: 157319986
{'hecke_orbit_code': 90071992580987200, 'n': 45, 'trace_an': 1}
-
id: 157319987
{'hecke_orbit_code': 90071992580987200, 'n': 46, 'trace_an': 0}
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id: 157319988
{'hecke_orbit_code': 90071992580987200, 'n': 47, 'trace_an': -12}
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id: 157319989
{'hecke_orbit_code': 90071992580987200, 'n': 48, 'trace_an': 0}
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id: 157319990
{'hecke_orbit_code': 90071992580987200, 'n': 49, 'trace_an': 1}
-
id: 157319991
{'hecke_orbit_code': 90071992580987200, 'n': 50, 'trace_an': 0}
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id: 157319992
{'hecke_orbit_code': 90071992580987200, 'n': 51, 'trace_an': -1}
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id: 157319993
{'hecke_orbit_code': 90071992580987200, 'n': 52, 'trace_an': 0}
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id: 157319994
{'hecke_orbit_code': 90071992580987200, 'n': 53, 'trace_an': 1}
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id: 157319995
{'hecke_orbit_code': 90071992580987200, 'n': 54, 'trace_an': 0}
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id: 157319996
{'hecke_orbit_code': 90071992580987200, 'n': 55, 'trace_an': -5}
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id: 157319997
{'hecke_orbit_code': 90071992580987200, 'n': 56, 'trace_an': 0}
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id: 157319998
{'hecke_orbit_code': 90071992580987200, 'n': 57, 'trace_an': -2}
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id: 157319999
{'hecke_orbit_code': 90071992580987200, 'n': 58, 'trace_an': 0}
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id: 157320000
{'hecke_orbit_code': 90071992580987200, 'n': 59, 'trace_an': -4}
-
id: 157320001
{'hecke_orbit_code': 90071992580987200, 'n': 60, 'trace_an': 0}
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id: 157320002
{'hecke_orbit_code': 90071992580987200, 'n': 61, 'trace_an': 14}
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id: 157320003
{'hecke_orbit_code': 90071992580987200, 'n': 62, 'trace_an': 0}
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id: 157320004
{'hecke_orbit_code': 90071992580987200, 'n': 63, 'trace_an': -1}
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id: 157320005
{'hecke_orbit_code': 90071992580987200, 'n': 64, 'trace_an': 0}
-
id: 157320006
{'hecke_orbit_code': 90071992580987200, 'n': 65, 'trace_an': 5}
-
id: 157320007
{'hecke_orbit_code': 90071992580987200, 'n': 66, 'trace_an': 0}
-
id: 157320008
{'hecke_orbit_code': 90071992580987200, 'n': 67, 'trace_an': 1}
-
id: 157320009
{'hecke_orbit_code': 90071992580987200, 'n': 68, 'trace_an': 0}
-
id: 157320010
{'hecke_orbit_code': 90071992580987200, 'n': 69, 'trace_an': 2}
-
id: 157320011
{'hecke_orbit_code': 90071992580987200, 'n': 70, 'trace_an': 0}
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id: 157320012
{'hecke_orbit_code': 90071992580987200, 'n': 71, 'trace_an': 8}
-
id: 157320013
{'hecke_orbit_code': 90071992580987200, 'n': 72, 'trace_an': 0}
-
id: 157320014
{'hecke_orbit_code': 90071992580987200, 'n': 73, 'trace_an': 3}
-
id: 157320015
{'hecke_orbit_code': 90071992580987200, 'n': 74, 'trace_an': 0}
-
id: 157320016
{'hecke_orbit_code': 90071992580987200, 'n': 75, 'trace_an': 4}
-
id: 157320017
{'hecke_orbit_code': 90071992580987200, 'n': 76, 'trace_an': 0}
-
id: 157320018
{'hecke_orbit_code': 90071992580987200, 'n': 77, 'trace_an': 5}
-
id: 157320019
{'hecke_orbit_code': 90071992580987200, 'n': 78, 'trace_an': 0}
-
id: 157320020
{'hecke_orbit_code': 90071992580987200, 'n': 79, 'trace_an': 1}
-
id: 157320021
{'hecke_orbit_code': 90071992580987200, 'n': 80, 'trace_an': 0}
-
id: 157320022
{'hecke_orbit_code': 90071992580987200, 'n': 81, 'trace_an': 1}
-
id: 157320023
{'hecke_orbit_code': 90071992580987200, 'n': 82, 'trace_an': 0}
-
id: 157320024
{'hecke_orbit_code': 90071992580987200, 'n': 83, 'trace_an': -5}
-
id: 157320025
{'hecke_orbit_code': 90071992580987200, 'n': 84, 'trace_an': 0}
-
id: 157320026
{'hecke_orbit_code': 90071992580987200, 'n': 85, 'trace_an': 1}
-
id: 157320027
{'hecke_orbit_code': 90071992580987200, 'n': 86, 'trace_an': 0}
-
id: 157320028
{'hecke_orbit_code': 90071992580987200, 'n': 87, 'trace_an': 2}
-
id: 157320029
{'hecke_orbit_code': 90071992580987200, 'n': 88, 'trace_an': 0}
-
id: 157320030
{'hecke_orbit_code': 90071992580987200, 'n': 89, 'trace_an': -9}
-
id: 157320031
{'hecke_orbit_code': 90071992580987200, 'n': 90, 'trace_an': 0}
-
id: 157320032
{'hecke_orbit_code': 90071992580987200, 'n': 91, 'trace_an': -5}
-
id: 157320033
{'hecke_orbit_code': 90071992580987200, 'n': 92, 'trace_an': 0}
-
id: 157320034
{'hecke_orbit_code': 90071992580987200, 'n': 93, 'trace_an': -8}
-
id: 157320035
{'hecke_orbit_code': 90071992580987200, 'n': 94, 'trace_an': 0}
-
id: 157320036
{'hecke_orbit_code': 90071992580987200, 'n': 95, 'trace_an': 2}
-
id: 157320037
{'hecke_orbit_code': 90071992580987200, 'n': 96, 'trace_an': 0}
-
id: 157320038
{'hecke_orbit_code': 90071992580987200, 'n': 97, 'trace_an': 15}
-
id: 157320039
{'hecke_orbit_code': 90071992580987200, 'n': 98, 'trace_an': 0}
-
id: 157320040
{'hecke_orbit_code': 90071992580987200, 'n': 99, 'trace_an': -5}
-
id: 157320041
{'hecke_orbit_code': 90071992580987200, 'n': 100, 'trace_an': 0}