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mf_newforms • Show schema
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{'Nk2': 75600, 'analytic_conductor': 150.91725982021993, 'atkin_lehner_eigenvals': [[2, -1], [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': [18900, 1, [9451, 9101, 15877, 16201], [11, 11, 11, 11]], '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': 11, 'hecke_orbit_code': 45035996307278292, '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': '18900.2.a.k', 'level': 18900, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{7}+4q^{13}+3q^{17}-q^{19}+3q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/18900/k'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '18900.2.a', 'trace_display': [0, 0, 0, -1], 'traces': [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 3, 0, -1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, -6, 0, 10, 0, 0, 0, 0, 0, 1, 0, 0, 0, 9, 0, 0, 0, 0, 0, 6, 0, -1, 0, 0, 0, 0, 0, 10, 0, 0, 0, -6, 0, -2, 0, 0, 0, 0, 0, -13, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 18900.2.a.k does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 19, 17, 18, 22, 17, 19, 22, 18], '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, 9, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [253, 261, 267, 264, 270, 261, 255, 258, 251, 244, 246, 245, 244, 251, 245, 246], 'Nk2': 75600, 'analytic_conductor': 150.91725982021993, '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': [18900, 1, [9451, 9101, 15877, 16201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4213, 'dim': 152, 'eis_dim': 215, 'eis_new_dim': 0, 'hecke_orbit_code': 33573332, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '18900.2.a', 'level': 18900, '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, 7], 'level_radical': 210, 'mf_dim': 4428, 'mf_new_dim': 152, 'num_forms': 75, 'plus_dim': 70, 'prim_orbit_index': 1, 'relative_dim': 152, 'sturm_bound': 8640, 'trace_display': [0, 0, 0, 0], 'traces': [152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 244, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 236, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 308, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 364, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 284, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 236, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 380, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -244, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 18900.2.a.k does not appear in mf_twists_nf
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hecke_orbit_code 45035996307278292 does not appear in mf_hecke_charpolys
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label 18900.2.a.k does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 144516842
{'hecke_orbit_code': 45035996307278292, 'n': 1, 'trace_an': 1}
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id: 144516843
{'hecke_orbit_code': 45035996307278292, 'n': 2, 'trace_an': 0}
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id: 144516844
{'hecke_orbit_code': 45035996307278292, 'n': 3, 'trace_an': 0}
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id: 144516845
{'hecke_orbit_code': 45035996307278292, 'n': 4, 'trace_an': 0}
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id: 144516846
{'hecke_orbit_code': 45035996307278292, 'n': 5, 'trace_an': 0}
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id: 144516847
{'hecke_orbit_code': 45035996307278292, 'n': 6, 'trace_an': 0}
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id: 144516848
{'hecke_orbit_code': 45035996307278292, 'n': 7, 'trace_an': -1}
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id: 144516849
{'hecke_orbit_code': 45035996307278292, 'n': 8, 'trace_an': 0}
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id: 144516850
{'hecke_orbit_code': 45035996307278292, 'n': 9, 'trace_an': 0}
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id: 144516851
{'hecke_orbit_code': 45035996307278292, 'n': 10, 'trace_an': 0}
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id: 144516852
{'hecke_orbit_code': 45035996307278292, 'n': 11, 'trace_an': 0}
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id: 144516853
{'hecke_orbit_code': 45035996307278292, 'n': 12, 'trace_an': 0}
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id: 144516854
{'hecke_orbit_code': 45035996307278292, 'n': 13, 'trace_an': 4}
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id: 144516855
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id: 144516856
{'hecke_orbit_code': 45035996307278292, 'n': 15, 'trace_an': 0}
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id: 144516857
{'hecke_orbit_code': 45035996307278292, 'n': 16, 'trace_an': 0}
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id: 144516858
{'hecke_orbit_code': 45035996307278292, 'n': 17, 'trace_an': 3}
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id: 144516859
{'hecke_orbit_code': 45035996307278292, 'n': 18, 'trace_an': 0}
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id: 144516860
{'hecke_orbit_code': 45035996307278292, 'n': 19, 'trace_an': -1}
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id: 144516861
{'hecke_orbit_code': 45035996307278292, 'n': 20, 'trace_an': 0}
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id: 144516862
{'hecke_orbit_code': 45035996307278292, 'n': 21, 'trace_an': 0}
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id: 144516863
{'hecke_orbit_code': 45035996307278292, 'n': 22, 'trace_an': 0}
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id: 144516864
{'hecke_orbit_code': 45035996307278292, 'n': 23, 'trace_an': 3}
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id: 144516865
{'hecke_orbit_code': 45035996307278292, 'n': 24, 'trace_an': 0}
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id: 144516866
{'hecke_orbit_code': 45035996307278292, 'n': 25, 'trace_an': 0}
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id: 144516867
{'hecke_orbit_code': 45035996307278292, 'n': 26, 'trace_an': 0}
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id: 144516868
{'hecke_orbit_code': 45035996307278292, 'n': 27, 'trace_an': 0}
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id: 144516869
{'hecke_orbit_code': 45035996307278292, 'n': 28, 'trace_an': 0}
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id: 144516870
{'hecke_orbit_code': 45035996307278292, 'n': 29, 'trace_an': 6}
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id: 144516871
{'hecke_orbit_code': 45035996307278292, 'n': 30, 'trace_an': 0}
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id: 144516872
{'hecke_orbit_code': 45035996307278292, 'n': 31, 'trace_an': -1}
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id: 144516873
{'hecke_orbit_code': 45035996307278292, 'n': 32, 'trace_an': 0}
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id: 144516874
{'hecke_orbit_code': 45035996307278292, 'n': 33, 'trace_an': 0}
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id: 144516875
{'hecke_orbit_code': 45035996307278292, 'n': 34, 'trace_an': 0}
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id: 144516876
{'hecke_orbit_code': 45035996307278292, 'n': 35, 'trace_an': 0}
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id: 144516877
{'hecke_orbit_code': 45035996307278292, 'n': 36, 'trace_an': 0}
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id: 144516878
{'hecke_orbit_code': 45035996307278292, 'n': 37, 'trace_an': 4}
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id: 144516879
{'hecke_orbit_code': 45035996307278292, 'n': 38, 'trace_an': 0}
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id: 144516880
{'hecke_orbit_code': 45035996307278292, 'n': 39, 'trace_an': 0}
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id: 144516881
{'hecke_orbit_code': 45035996307278292, 'n': 40, 'trace_an': 0}
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id: 144516882
{'hecke_orbit_code': 45035996307278292, 'n': 41, 'trace_an': -6}
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id: 144516883
{'hecke_orbit_code': 45035996307278292, 'n': 42, 'trace_an': 0}
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id: 144516884
{'hecke_orbit_code': 45035996307278292, 'n': 43, 'trace_an': 10}
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id: 144516885
{'hecke_orbit_code': 45035996307278292, 'n': 44, 'trace_an': 0}
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id: 144516886
{'hecke_orbit_code': 45035996307278292, 'n': 45, 'trace_an': 0}
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id: 144516887
{'hecke_orbit_code': 45035996307278292, 'n': 46, 'trace_an': 0}
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id: 144516888
{'hecke_orbit_code': 45035996307278292, 'n': 47, 'trace_an': 0}
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id: 144516889
{'hecke_orbit_code': 45035996307278292, 'n': 48, 'trace_an': 0}
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id: 144516890
{'hecke_orbit_code': 45035996307278292, 'n': 49, 'trace_an': 1}
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id: 144516891
{'hecke_orbit_code': 45035996307278292, 'n': 50, 'trace_an': 0}
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id: 144516892
{'hecke_orbit_code': 45035996307278292, 'n': 51, 'trace_an': 0}
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id: 144516893
{'hecke_orbit_code': 45035996307278292, 'n': 52, 'trace_an': 0}
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id: 144516894
{'hecke_orbit_code': 45035996307278292, 'n': 53, 'trace_an': 9}
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id: 144516895
{'hecke_orbit_code': 45035996307278292, 'n': 54, 'trace_an': 0}
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id: 144516896
{'hecke_orbit_code': 45035996307278292, 'n': 55, 'trace_an': 0}
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id: 144516897
{'hecke_orbit_code': 45035996307278292, 'n': 56, 'trace_an': 0}
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id: 144516898
{'hecke_orbit_code': 45035996307278292, 'n': 57, 'trace_an': 0}
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id: 144516899
{'hecke_orbit_code': 45035996307278292, 'n': 58, 'trace_an': 0}
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id: 144516900
{'hecke_orbit_code': 45035996307278292, 'n': 59, 'trace_an': 6}
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id: 144516901
{'hecke_orbit_code': 45035996307278292, 'n': 60, 'trace_an': 0}
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id: 144516902
{'hecke_orbit_code': 45035996307278292, 'n': 61, 'trace_an': -1}
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id: 144516903
{'hecke_orbit_code': 45035996307278292, 'n': 62, 'trace_an': 0}
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id: 144516904
{'hecke_orbit_code': 45035996307278292, 'n': 63, 'trace_an': 0}
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id: 144516905
{'hecke_orbit_code': 45035996307278292, 'n': 64, 'trace_an': 0}
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id: 144516906
{'hecke_orbit_code': 45035996307278292, 'n': 65, 'trace_an': 0}
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id: 144516907
{'hecke_orbit_code': 45035996307278292, 'n': 66, 'trace_an': 0}
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id: 144516908
{'hecke_orbit_code': 45035996307278292, 'n': 67, 'trace_an': 10}
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id: 144516909
{'hecke_orbit_code': 45035996307278292, 'n': 68, 'trace_an': 0}
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id: 144516910
{'hecke_orbit_code': 45035996307278292, 'n': 69, 'trace_an': 0}
-
id: 144516911
{'hecke_orbit_code': 45035996307278292, 'n': 70, 'trace_an': 0}
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id: 144516912
{'hecke_orbit_code': 45035996307278292, 'n': 71, 'trace_an': -6}
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id: 144516913
{'hecke_orbit_code': 45035996307278292, 'n': 72, 'trace_an': 0}
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id: 144516914
{'hecke_orbit_code': 45035996307278292, 'n': 73, 'trace_an': -2}
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id: 144516915
{'hecke_orbit_code': 45035996307278292, 'n': 74, 'trace_an': 0}
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id: 144516916
{'hecke_orbit_code': 45035996307278292, 'n': 75, 'trace_an': 0}
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id: 144516917
{'hecke_orbit_code': 45035996307278292, 'n': 76, 'trace_an': 0}
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id: 144516918
{'hecke_orbit_code': 45035996307278292, 'n': 77, 'trace_an': 0}
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id: 144516919
{'hecke_orbit_code': 45035996307278292, 'n': 78, 'trace_an': 0}
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id: 144516920
{'hecke_orbit_code': 45035996307278292, 'n': 79, 'trace_an': -13}
-
id: 144516921
{'hecke_orbit_code': 45035996307278292, 'n': 80, 'trace_an': 0}
-
id: 144516922
{'hecke_orbit_code': 45035996307278292, 'n': 81, 'trace_an': 0}
-
id: 144516923
{'hecke_orbit_code': 45035996307278292, 'n': 82, 'trace_an': 0}
-
id: 144516924
{'hecke_orbit_code': 45035996307278292, 'n': 83, 'trace_an': -9}
-
id: 144516925
{'hecke_orbit_code': 45035996307278292, 'n': 84, 'trace_an': 0}
-
id: 144516926
{'hecke_orbit_code': 45035996307278292, 'n': 85, 'trace_an': 0}
-
id: 144516927
{'hecke_orbit_code': 45035996307278292, 'n': 86, 'trace_an': 0}
-
id: 144516928
{'hecke_orbit_code': 45035996307278292, 'n': 87, 'trace_an': 0}
-
id: 144516929
{'hecke_orbit_code': 45035996307278292, 'n': 88, 'trace_an': 0}
-
id: 144516930
{'hecke_orbit_code': 45035996307278292, 'n': 89, 'trace_an': 0}
-
id: 144516931
{'hecke_orbit_code': 45035996307278292, 'n': 90, 'trace_an': 0}
-
id: 144516932
{'hecke_orbit_code': 45035996307278292, 'n': 91, 'trace_an': -4}
-
id: 144516933
{'hecke_orbit_code': 45035996307278292, 'n': 92, 'trace_an': 0}
-
id: 144516934
{'hecke_orbit_code': 45035996307278292, 'n': 93, 'trace_an': 0}
-
id: 144516935
{'hecke_orbit_code': 45035996307278292, 'n': 94, 'trace_an': 0}
-
id: 144516936
{'hecke_orbit_code': 45035996307278292, 'n': 95, 'trace_an': 0}
-
id: 144516937
{'hecke_orbit_code': 45035996307278292, 'n': 96, 'trace_an': 0}
-
id: 144516938
{'hecke_orbit_code': 45035996307278292, 'n': 97, 'trace_an': 10}
-
id: 144516939
{'hecke_orbit_code': 45035996307278292, 'n': 98, 'trace_an': 0}
-
id: 144516940
{'hecke_orbit_code': 45035996307278292, 'n': 99, 'trace_an': 0}
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id: 144516941
{'hecke_orbit_code': 45035996307278292, 'n': 100, 'trace_an': 0}