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mf_newforms • Show schema
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{'Nk2': 122304, 'analytic_conductor': 244.1505892202669, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [13, -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': [30576, 1, [3823, 22933, 10193, 18721, 28225], [81, 81, 81, 81, 81]], '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': 81, 'hecke_orbit_code': 360287970223224688, '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': '30576.2.a.dc', 'level': 30576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+3q^{5}+q^{9}-2q^{11}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/30576/dc'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '30576.2.a', 'trace_display': [0, 1, 3, 0], 'traces': [1, 0, 1, 0, 3, 0, 0, 0, 1, 0, -2, 0, 1, 0, 3, 0, -6, 0, -7, 0, 0, 0, 1, 0, 4, 0, 1, 0, 5, 0, 9, 0, -2, 0, 0, 0, -4, 0, 1, 0, 6, 0, -9, 0, 3, 0, -7, 0, 0, 0, -6, 0, -3, 0, -6, 0, -7, 0, -4, 0, -2, 0, 0, 0, 3, 0, 8, 0, 1, 0, 0, 0, 11, 0, 4, 0, 0, 0, -9, 0, 1, 0, -3, 0, -18, 0, 5, 0, 9, 0, 0, 0, 9, 0, -21, 0, -9, 0, -2, 0], 'weight': 2, 'weight_parity': 1}
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label 30576.2.a.dc does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [31, 29, 30, 33, 31, 29, 30, 33, 33, 27, 30, 33, 25, 35, 36, 27], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [342, 367, 369, 342, 369, 347, 343, 364, 351, 365, 359, 348, 363, 345, 347, 364], 'Nk2': 122304, 'analytic_conductor': 244.1505892202669, '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': [30576, 1, [3823, 22933, 10193, 18721, 28225], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 6177, 'dim': 492, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33585008, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 10, 10, 10, 10, 10, 10], 'label': '30576.2.a', 'level': 30576, '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, 13], 'level_radical': 546, 'mf_dim': 6368, 'mf_new_dim': 492, 'num_forms': 192, 'plus_dim': 232, 'prim_orbit_index': 1, 'relative_dim': 492, 'sturm_bound': 12544, 'trace_display': [0, 0, 0, 0], 'traces': [492, 0, 0, 0, 0, 0, 0, 0, 492, 0, -8, 0, 0, 0, 4, 0, 0, 0, 20, 0, 0, 0, 16, 0, 484, 0, 0, 0, 16, 0, -4, 0, -8, 0, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 8, 0, 8, 0, 32, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -44, 0, -16, 0, -32, 0, -8, 0, 8, 0, 0, 0, 0, 0, 492, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 8, 0, -8, 0, -8, 0, -16, 0, 0, 0, 16, 0, -16, 0, -16, 0, 32, 0, 0, 0, 0, 0, 0, 0, 532, 0, -12, 0, 48, 0, -40, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -8, 0, -32, 0, 0, 0, -32, 0, 0, 0, 80, 0, 76, 0, 0, 0, 80, 0, -16, 0, -16, 0, 0, 0, 4, 0, -32, 0, 8, 0, 492, 0, 20, 0, 56, 0, 0, 0, 8, 0, -32, 0, -48, 0, 8, 0, 0, 0, 80, 0, 0, 0, 16, 0, 56, 0, 12, 0, 32, 0, 8, 0, 0, 0, 0, 0, 16, 0, 16, 0, 40, 0, -80, 0, -16, 0, 128, 0, 0, 0, -24, 0, -8, 0, -52, 0, 484, 0, -104, 0, 16, 0, 0, 0, 88, 0, 16, 0, 0, 0, -112, 0, -24, 0, 0, 0, 0, 0, 12, 0, -40, 0, 128, 0, 16, 0, -104, 0, -8, 0, 0, 0, 16, 0, -32, 0, 0, 0, -36, 0, 16, 0, -84, 0, 0, 0, -120, 0, 8, 0, -4, 0, 16, 0, -72, 0, -16, 0, 0, 0, 436, 0, -72, 0, 16, 0, 16, 0, -8, 0, 0, 0, 0, 0, -24, 0, 16, 0, -156, 0, 0, 0, 144, 0, 64, 0, 0, 0, 0, 0, -144, 0, -16, 0, 72, 0, -16, 0, -72, 0, 0, 0, -60, 0, 16, 0, -80, 0, 48, 0, 32, 0, -8, 0, 0, 0, 16, 0, 304, 0, 80, 0, 4, 0, 96, 0, -32, 0, 0, 0, 248, 0, 420, 0, -88, 0, 32, 0, -152, 0, 0, 0, 0, 0, 0, 0, 24, 0, 8, 0, 236, 0, 0, 0, 56, 0, 0, 0, 0, 0, 16, 0, -16, 0, 48, 0, -144, 0, 0, 0, 0, 0, 16, 0, -12, 0, 0, 0, 368, 0, 56, 0, 60, 0, 0, 0, -96, 0, 32, 0, 0, 0, 32, 0, -24, 0, 64, 0, 0, 0, 0, 0, -104, 0, 120, 0, -104, 0, 32, 0, 32, 0, 0, 0, 320, 0, 80, 0, 20, 0, 80, 0, -48, 0, 96, 0, 0, 0, 120, 0, 8, 0, 48, 0, 68, 0, 0, 0, -80, 0, 0, 0, -96, 0, 224, 0, 92, 0, 8, 0, 48, 0, 8, 0, 0, 0, 96, 0, 276, 0, 16, 0, 240, 0, 48, 0, 32, 0, 0, 0, -28, 0, -16, 0, 80, 0, 160, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 8, 0, 120, 0, 128, 0, -104, 0, 0, 0, -56, 0, 620, 0, 0, 0, 0, 0, -192, 0, 32, 0, 0, 0, 16, 0, -48, 0, 224, 0, -136, 0, -24, 0, -24, 0, 0, 0, 72, 0, 32, 0, -32, 0, -16, 0, -32, 0, 160, 0, 0, 0, 88, 0, 24, 0, 16, 0, 32, 0, 56, 0, -48, 0, 0, 0, 112, 0, 0, 0, 96, 0, -40, 0, -116, 0, 128, 0, 0, 0, 0, 0, 176, 0, -96, 0, -44, 0, -128, 0, -24, 0, 0, 0, 0, 0, -48, 0, 56, 0, 80, 0, 180, 0, -16, 0, 0, 0, 444, 0, -40, 0, -144, 0, 172, 0, -48, 0, 96, 0, 0, 0, -32, 0, -64, 0, 60, 0, 32, 0, 240, 0, -8, 0, 0, 0, -80, 0, -16, 0, -8, 0, 80, 0, -32, 0, -16, 0, 0, 0, 384, 0, 80, 0, 176, 0, 48, 0, 8, 0, -24, 0, 0, 0, -72, 0, 280, 0, -112, 0, -8, 0, 16, 0, 76, 0, 0, 0, 176, 0, -64, 0, -8, 0, 80, 0, -216, 0, -80, 0, 0, 0, 96, 0, 0, 0, 96, 0, -16, 0, 16, 0, 304, 0, 0, 0, 120, 0, 48, 0, 88, 0, 492, 0, 16, 0, 96, 0, 0, 0, 8, 0, 124, 0, 0, 0, 256, 0, -16, 0, 0, 0, 0, 0, 240, 0, 16, 0, -128, 0, 8, 0, -144, 0, -32, 0, 0, 0, -32, 0, 24, 0, 8, 0, 232, 0, -64, 0, -76, 0, 0, 0, -176, 0, 152, 0, 0, 0, 80, 0, 68, 0, 32, 0, 0, 0, -32, 0, -168, 0, 80, 0, 400, 0, 0, 0, 208, 0, 0, 0, 16, 0, 64, 0, 4, 0, -48, 0, 208, 0, -128, 0, 0, 0, 112, 0, -48, 0, 8, 0, 648, 0, -200, 0, -48, 0, 0, 0, 592, 0, -16, 0, -128, 0, 468, 0, 12, 0, 0, 0, 0, 0, -48, 0, 48, 0, 48, 0, 0, 0, 120, 0, -240, 0, 0, 0, 72, 0, -32, 0, -96, 0, 96, 0, -20, 0, 8, 0, 0, 0, 48, 0, 380, 0, 120, 0, 8, 0, 0, 0, 288, 0, 0, 0, -8, 0, 24, 0, 48, 0, 0, 0, -8, 0, 64, 0, 0, 0, 16, 0, -120, 0, -8, 0, 48, 0, 104, 0, 56, 0, 0, 0, 112, 0, -96, 0, 24, 0, -16, 0, -16, 0, 80, 0, 0, 0, -16, 0, -1104, 0, 152, 0, -104, 0, 0, 0, 368, 0, 0, 0, -992, 0, 0, 0, 92, 0, 152, 0, 48, 0, 16, 0, 0, 0, 356, 0, 16, 0, -160, 0, -924, 0, -80, 0, 32, 0, 0, 0, 20, 0, -48, 0, 240, 0, -16, 0, 272, 0, -16, 0, 0, 0, 0, 0, 200, 0, -48, 0, -880, 0, -40, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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source_label 30576.2.a.dc does not appear in mf_twists_nf
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hecke_orbit_code 360287970223224688 does not appear in mf_hecke_charpolys
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label 30576.2.a.dc does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 179565742
{'hecke_orbit_code': 360287970223224688, 'n': 1, 'trace_an': 1}
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id: 179565743
{'hecke_orbit_code': 360287970223224688, 'n': 2, 'trace_an': 0}
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id: 179565744
{'hecke_orbit_code': 360287970223224688, 'n': 3, 'trace_an': 1}
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id: 179565745
{'hecke_orbit_code': 360287970223224688, 'n': 4, 'trace_an': 0}
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id: 179565746
{'hecke_orbit_code': 360287970223224688, 'n': 5, 'trace_an': 3}
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id: 179565747
{'hecke_orbit_code': 360287970223224688, 'n': 6, 'trace_an': 0}
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id: 179565748
{'hecke_orbit_code': 360287970223224688, 'n': 7, 'trace_an': 0}
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id: 179565749
{'hecke_orbit_code': 360287970223224688, 'n': 8, 'trace_an': 0}
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id: 179565750
{'hecke_orbit_code': 360287970223224688, 'n': 9, 'trace_an': 1}
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id: 179565751
{'hecke_orbit_code': 360287970223224688, 'n': 10, 'trace_an': 0}
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id: 179565752
{'hecke_orbit_code': 360287970223224688, 'n': 11, 'trace_an': -2}
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id: 179565753
{'hecke_orbit_code': 360287970223224688, 'n': 12, 'trace_an': 0}
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id: 179565754
{'hecke_orbit_code': 360287970223224688, 'n': 13, 'trace_an': 1}
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id: 179565755
{'hecke_orbit_code': 360287970223224688, 'n': 14, 'trace_an': 0}
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id: 179565756
{'hecke_orbit_code': 360287970223224688, 'n': 15, 'trace_an': 3}
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id: 179565757
{'hecke_orbit_code': 360287970223224688, 'n': 16, 'trace_an': 0}
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id: 179565758
{'hecke_orbit_code': 360287970223224688, 'n': 17, 'trace_an': -6}
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id: 179565759
{'hecke_orbit_code': 360287970223224688, 'n': 18, 'trace_an': 0}
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id: 179565760
{'hecke_orbit_code': 360287970223224688, 'n': 19, 'trace_an': -7}
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id: 179565761
{'hecke_orbit_code': 360287970223224688, 'n': 20, 'trace_an': 0}
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id: 179565762
{'hecke_orbit_code': 360287970223224688, 'n': 21, 'trace_an': 0}
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id: 179565763
{'hecke_orbit_code': 360287970223224688, 'n': 22, 'trace_an': 0}
-
id: 179565764
{'hecke_orbit_code': 360287970223224688, 'n': 23, 'trace_an': 1}
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id: 179565765
{'hecke_orbit_code': 360287970223224688, 'n': 24, 'trace_an': 0}
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id: 179565766
{'hecke_orbit_code': 360287970223224688, 'n': 25, 'trace_an': 4}
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id: 179565767
{'hecke_orbit_code': 360287970223224688, 'n': 26, 'trace_an': 0}
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id: 179565768
{'hecke_orbit_code': 360287970223224688, 'n': 27, 'trace_an': 1}
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id: 179565769
{'hecke_orbit_code': 360287970223224688, 'n': 28, 'trace_an': 0}
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id: 179565770
{'hecke_orbit_code': 360287970223224688, 'n': 29, 'trace_an': 5}
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id: 179565771
{'hecke_orbit_code': 360287970223224688, 'n': 30, 'trace_an': 0}
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id: 179565772
{'hecke_orbit_code': 360287970223224688, 'n': 31, 'trace_an': 9}
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id: 179565773
{'hecke_orbit_code': 360287970223224688, 'n': 32, 'trace_an': 0}
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id: 179565774
{'hecke_orbit_code': 360287970223224688, 'n': 33, 'trace_an': -2}
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id: 179565775
{'hecke_orbit_code': 360287970223224688, 'n': 34, 'trace_an': 0}
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id: 179565776
{'hecke_orbit_code': 360287970223224688, 'n': 35, 'trace_an': 0}
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id: 179565777
{'hecke_orbit_code': 360287970223224688, 'n': 36, 'trace_an': 0}
-
id: 179565778
{'hecke_orbit_code': 360287970223224688, 'n': 37, 'trace_an': -4}
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id: 179565779
{'hecke_orbit_code': 360287970223224688, 'n': 38, 'trace_an': 0}
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id: 179565780
{'hecke_orbit_code': 360287970223224688, 'n': 39, 'trace_an': 1}
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id: 179565781
{'hecke_orbit_code': 360287970223224688, 'n': 40, 'trace_an': 0}
-
id: 179565782
{'hecke_orbit_code': 360287970223224688, 'n': 41, 'trace_an': 6}
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id: 179565783
{'hecke_orbit_code': 360287970223224688, 'n': 42, 'trace_an': 0}
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id: 179565784
{'hecke_orbit_code': 360287970223224688, 'n': 43, 'trace_an': -9}
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id: 179565785
{'hecke_orbit_code': 360287970223224688, 'n': 44, 'trace_an': 0}
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id: 179565786
{'hecke_orbit_code': 360287970223224688, 'n': 45, 'trace_an': 3}
-
id: 179565787
{'hecke_orbit_code': 360287970223224688, 'n': 46, 'trace_an': 0}
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id: 179565788
{'hecke_orbit_code': 360287970223224688, 'n': 47, 'trace_an': -7}
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id: 179565789
{'hecke_orbit_code': 360287970223224688, 'n': 48, 'trace_an': 0}
-
id: 179565790
{'hecke_orbit_code': 360287970223224688, 'n': 49, 'trace_an': 0}
-
id: 179565791
{'hecke_orbit_code': 360287970223224688, 'n': 50, 'trace_an': 0}
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id: 179565792
{'hecke_orbit_code': 360287970223224688, 'n': 51, 'trace_an': -6}
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id: 179565793
{'hecke_orbit_code': 360287970223224688, 'n': 52, 'trace_an': 0}
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id: 179565794
{'hecke_orbit_code': 360287970223224688, 'n': 53, 'trace_an': -3}
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id: 179565795
{'hecke_orbit_code': 360287970223224688, 'n': 54, 'trace_an': 0}
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id: 179565796
{'hecke_orbit_code': 360287970223224688, 'n': 55, 'trace_an': -6}
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id: 179565797
{'hecke_orbit_code': 360287970223224688, 'n': 56, 'trace_an': 0}
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id: 179565798
{'hecke_orbit_code': 360287970223224688, 'n': 57, 'trace_an': -7}
-
id: 179565799
{'hecke_orbit_code': 360287970223224688, 'n': 58, 'trace_an': 0}
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id: 179565800
{'hecke_orbit_code': 360287970223224688, 'n': 59, 'trace_an': -4}
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id: 179565801
{'hecke_orbit_code': 360287970223224688, 'n': 60, 'trace_an': 0}
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id: 179565802
{'hecke_orbit_code': 360287970223224688, 'n': 61, 'trace_an': -2}
-
id: 179565803
{'hecke_orbit_code': 360287970223224688, 'n': 62, 'trace_an': 0}
-
id: 179565804
{'hecke_orbit_code': 360287970223224688, 'n': 63, 'trace_an': 0}
-
id: 179565805
{'hecke_orbit_code': 360287970223224688, 'n': 64, 'trace_an': 0}
-
id: 179565806
{'hecke_orbit_code': 360287970223224688, 'n': 65, 'trace_an': 3}
-
id: 179565807
{'hecke_orbit_code': 360287970223224688, 'n': 66, 'trace_an': 0}
-
id: 179565808
{'hecke_orbit_code': 360287970223224688, 'n': 67, 'trace_an': 8}
-
id: 179565809
{'hecke_orbit_code': 360287970223224688, 'n': 68, 'trace_an': 0}
-
id: 179565810
{'hecke_orbit_code': 360287970223224688, 'n': 69, 'trace_an': 1}
-
id: 179565811
{'hecke_orbit_code': 360287970223224688, 'n': 70, 'trace_an': 0}
-
id: 179565812
{'hecke_orbit_code': 360287970223224688, 'n': 71, 'trace_an': 0}
-
id: 179565813
{'hecke_orbit_code': 360287970223224688, 'n': 72, 'trace_an': 0}
-
id: 179565814
{'hecke_orbit_code': 360287970223224688, 'n': 73, 'trace_an': 11}
-
id: 179565815
{'hecke_orbit_code': 360287970223224688, 'n': 74, 'trace_an': 0}
-
id: 179565816
{'hecke_orbit_code': 360287970223224688, 'n': 75, 'trace_an': 4}
-
id: 179565817
{'hecke_orbit_code': 360287970223224688, 'n': 76, 'trace_an': 0}
-
id: 179565818
{'hecke_orbit_code': 360287970223224688, 'n': 77, 'trace_an': 0}
-
id: 179565819
{'hecke_orbit_code': 360287970223224688, 'n': 78, 'trace_an': 0}
-
id: 179565820
{'hecke_orbit_code': 360287970223224688, 'n': 79, 'trace_an': -9}
-
id: 179565821
{'hecke_orbit_code': 360287970223224688, 'n': 80, 'trace_an': 0}
-
id: 179565822
{'hecke_orbit_code': 360287970223224688, 'n': 81, 'trace_an': 1}
-
id: 179565823
{'hecke_orbit_code': 360287970223224688, 'n': 82, 'trace_an': 0}
-
id: 179565824
{'hecke_orbit_code': 360287970223224688, 'n': 83, 'trace_an': -3}
-
id: 179565825
{'hecke_orbit_code': 360287970223224688, 'n': 84, 'trace_an': 0}
-
id: 179565826
{'hecke_orbit_code': 360287970223224688, 'n': 85, 'trace_an': -18}
-
id: 179565827
{'hecke_orbit_code': 360287970223224688, 'n': 86, 'trace_an': 0}
-
id: 179565828
{'hecke_orbit_code': 360287970223224688, 'n': 87, 'trace_an': 5}
-
id: 179565829
{'hecke_orbit_code': 360287970223224688, 'n': 88, 'trace_an': 0}
-
id: 179565830
{'hecke_orbit_code': 360287970223224688, 'n': 89, 'trace_an': 9}
-
id: 179565831
{'hecke_orbit_code': 360287970223224688, 'n': 90, 'trace_an': 0}
-
id: 179565832
{'hecke_orbit_code': 360287970223224688, 'n': 91, 'trace_an': 0}
-
id: 179565833
{'hecke_orbit_code': 360287970223224688, 'n': 92, 'trace_an': 0}
-
id: 179565834
{'hecke_orbit_code': 360287970223224688, 'n': 93, 'trace_an': 9}
-
id: 179565835
{'hecke_orbit_code': 360287970223224688, 'n': 94, 'trace_an': 0}
-
id: 179565836
{'hecke_orbit_code': 360287970223224688, 'n': 95, 'trace_an': -21}
-
id: 179565837
{'hecke_orbit_code': 360287970223224688, 'n': 96, 'trace_an': 0}
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id: 179565838
{'hecke_orbit_code': 360287970223224688, 'n': 97, 'trace_an': -9}
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id: 179565839
{'hecke_orbit_code': 360287970223224688, 'n': 98, 'trace_an': 0}
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id: 179565840
{'hecke_orbit_code': 360287970223224688, 'n': 99, 'trace_an': -2}
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id: 179565841
{'hecke_orbit_code': 360287970223224688, 'n': 100, 'trace_an': 0}