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mf_newforms • Show schema
Hide schema
{'Nk2': 83200, 'analytic_conductor': 166.0888362042632, 'atkin_lehner_eigenvals': [[2, -1], [5, 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': [20800, 1, [12351, 16901, 14977, 1601], [89, 89, 89, 89]], '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': 89, 'hecke_orbit_code': 396316767242178880, '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': '20800.2.a.dk', 'level': 20800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}-4q^{7}+q^{9}-6q^{11}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/20800/dk'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '20800.2.a', 'trace_display': [0, 2, 0, -4], 'traces': [1, 0, 2, 0, 0, 0, -4, 0, 1, 0, -6, 0, 1, 0, 0, 0, 6, 0, 2, 0, -8, 0, 6, 0, 0, 0, -4, 0, 6, 0, -2, 0, -12, 0, 0, 0, 2, 0, 2, 0, -6, 0, -2, 0, 0, 0, -12, 0, 9, 0, 12, 0, 6, 0, 0, 0, 4, 0, 6, 0, -2, 0, -4, 0, 0, 0, 4, 0, 12, 0, 6, 0, 10, 0, 0, 0, 24, 0, 4, 0, -11, 0, 0, 0, 0, 0, 12, 0, -6, 0, -4, 0, -4, 0, 0, 0, -2, 0, -6, 0], 'weight': 2, 'weight_parity': 1}
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label 20800.2.a.dk does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [51, 57, 62, 58, 57, 51, 58, 62], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [352, 357, 356, 348, 363, 357, 346, 354], 'Nk2': 83200, 'analytic_conductor': 166.0888362042632, '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': [20800, 1, [12351, 16901, 14977, 1601], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3289, 'dim': 456, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_orbit_code': 33575232, '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, 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, 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, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 10, 10], 'label': '20800.2.a', 'level': 20800, '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, 5, 13], 'level_radical': 130, 'mf_dim': 3432, 'mf_new_dim': 456, 'num_forms': 212, 'plus_dim': 218, 'prim_orbit_index': 1, 'relative_dim': 456, 'sturm_bound': 6720, 'trace_display': [0, 0, 0, 0], 'traces': [456, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 472, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 520, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 32, 0, 0, 0, -144, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, 0, 208, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, -80, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -128, 0, 0, 0, -16, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, 112, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 80, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 80, 0, 0, 0, -208, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 112, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 256, 0, 0, 0, -64, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -272, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, -64, 0, 0, 0, -160, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, -64, 0, 0, 0, 352, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 16, 0, 0, 0, -64, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 352, 0, 0, 0, 400, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 224, 0, 0, 0, -80, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 224, 0, 0, 0, 32, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, -96, 0, 0, 0, 48, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 256, 0, 0, 0, -224, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, -64, 0, 0, 0, 256, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 448, 0, 0, 0, -176, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 256, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, -128, 0, 0, 0, 192, 0, 0, 0, 704, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, -176, 0, 0, 0, -160, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 20800.2.a.dk does not appear in mf_twists_nf
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hecke_orbit_code 396316767242178880 does not appear in mf_hecke_charpolys
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label 20800.2.a.dk does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 180487742
{'hecke_orbit_code': 396316767242178880, 'n': 1, 'trace_an': 1}
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id: 180487743
{'hecke_orbit_code': 396316767242178880, 'n': 2, 'trace_an': 0}
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id: 180487744
{'hecke_orbit_code': 396316767242178880, 'n': 3, 'trace_an': 2}
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id: 180487745
{'hecke_orbit_code': 396316767242178880, 'n': 4, 'trace_an': 0}
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id: 180487746
{'hecke_orbit_code': 396316767242178880, 'n': 5, 'trace_an': 0}
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id: 180487747
{'hecke_orbit_code': 396316767242178880, 'n': 6, 'trace_an': 0}
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id: 180487748
{'hecke_orbit_code': 396316767242178880, 'n': 7, 'trace_an': -4}
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id: 180487749
{'hecke_orbit_code': 396316767242178880, 'n': 8, 'trace_an': 0}
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id: 180487750
{'hecke_orbit_code': 396316767242178880, 'n': 9, 'trace_an': 1}
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id: 180487751
{'hecke_orbit_code': 396316767242178880, 'n': 10, 'trace_an': 0}
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id: 180487752
{'hecke_orbit_code': 396316767242178880, 'n': 11, 'trace_an': -6}
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id: 180487753
{'hecke_orbit_code': 396316767242178880, 'n': 12, 'trace_an': 0}
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id: 180487754
{'hecke_orbit_code': 396316767242178880, 'n': 13, 'trace_an': 1}
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id: 180487755
{'hecke_orbit_code': 396316767242178880, 'n': 14, 'trace_an': 0}
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id: 180487756
{'hecke_orbit_code': 396316767242178880, 'n': 15, 'trace_an': 0}
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id: 180487757
{'hecke_orbit_code': 396316767242178880, 'n': 16, 'trace_an': 0}
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id: 180487758
{'hecke_orbit_code': 396316767242178880, 'n': 17, 'trace_an': 6}
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id: 180487759
{'hecke_orbit_code': 396316767242178880, 'n': 18, 'trace_an': 0}
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id: 180487760
{'hecke_orbit_code': 396316767242178880, 'n': 19, 'trace_an': 2}
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id: 180487761
{'hecke_orbit_code': 396316767242178880, 'n': 20, 'trace_an': 0}
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id: 180487762
{'hecke_orbit_code': 396316767242178880, 'n': 21, 'trace_an': -8}
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id: 180487763
{'hecke_orbit_code': 396316767242178880, 'n': 22, 'trace_an': 0}
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id: 180487764
{'hecke_orbit_code': 396316767242178880, 'n': 23, 'trace_an': 6}
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id: 180487765
{'hecke_orbit_code': 396316767242178880, 'n': 24, 'trace_an': 0}
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id: 180487766
{'hecke_orbit_code': 396316767242178880, 'n': 25, 'trace_an': 0}
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id: 180487767
{'hecke_orbit_code': 396316767242178880, 'n': 26, 'trace_an': 0}
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id: 180487768
{'hecke_orbit_code': 396316767242178880, 'n': 27, 'trace_an': -4}
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id: 180487769
{'hecke_orbit_code': 396316767242178880, 'n': 28, 'trace_an': 0}
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id: 180487770
{'hecke_orbit_code': 396316767242178880, 'n': 29, 'trace_an': 6}
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id: 180487771
{'hecke_orbit_code': 396316767242178880, 'n': 30, 'trace_an': 0}
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id: 180487772
{'hecke_orbit_code': 396316767242178880, 'n': 31, 'trace_an': -2}
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id: 180487773
{'hecke_orbit_code': 396316767242178880, 'n': 32, 'trace_an': 0}
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id: 180487774
{'hecke_orbit_code': 396316767242178880, 'n': 33, 'trace_an': -12}
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id: 180487775
{'hecke_orbit_code': 396316767242178880, 'n': 34, 'trace_an': 0}
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id: 180487776
{'hecke_orbit_code': 396316767242178880, 'n': 35, 'trace_an': 0}
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id: 180487777
{'hecke_orbit_code': 396316767242178880, 'n': 36, 'trace_an': 0}
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id: 180487778
{'hecke_orbit_code': 396316767242178880, 'n': 37, 'trace_an': 2}
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id: 180487779
{'hecke_orbit_code': 396316767242178880, 'n': 38, 'trace_an': 0}
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id: 180487780
{'hecke_orbit_code': 396316767242178880, 'n': 39, 'trace_an': 2}
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id: 180487781
{'hecke_orbit_code': 396316767242178880, 'n': 40, 'trace_an': 0}
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id: 180487782
{'hecke_orbit_code': 396316767242178880, 'n': 41, 'trace_an': -6}
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id: 180487783
{'hecke_orbit_code': 396316767242178880, 'n': 42, 'trace_an': 0}
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id: 180487784
{'hecke_orbit_code': 396316767242178880, 'n': 43, 'trace_an': -2}
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id: 180487785
{'hecke_orbit_code': 396316767242178880, 'n': 44, 'trace_an': 0}
-
id: 180487786
{'hecke_orbit_code': 396316767242178880, 'n': 45, 'trace_an': 0}
-
id: 180487787
{'hecke_orbit_code': 396316767242178880, 'n': 46, 'trace_an': 0}
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id: 180487788
{'hecke_orbit_code': 396316767242178880, 'n': 47, 'trace_an': -12}
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id: 180487789
{'hecke_orbit_code': 396316767242178880, 'n': 48, 'trace_an': 0}
-
id: 180487790
{'hecke_orbit_code': 396316767242178880, 'n': 49, 'trace_an': 9}
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id: 180487791
{'hecke_orbit_code': 396316767242178880, 'n': 50, 'trace_an': 0}
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id: 180487792
{'hecke_orbit_code': 396316767242178880, 'n': 51, 'trace_an': 12}
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id: 180487793
{'hecke_orbit_code': 396316767242178880, 'n': 52, 'trace_an': 0}
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id: 180487794
{'hecke_orbit_code': 396316767242178880, 'n': 53, 'trace_an': 6}
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id: 180487795
{'hecke_orbit_code': 396316767242178880, 'n': 54, 'trace_an': 0}
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id: 180487796
{'hecke_orbit_code': 396316767242178880, 'n': 55, 'trace_an': 0}
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id: 180487797
{'hecke_orbit_code': 396316767242178880, 'n': 56, 'trace_an': 0}
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id: 180487798
{'hecke_orbit_code': 396316767242178880, 'n': 57, 'trace_an': 4}
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id: 180487799
{'hecke_orbit_code': 396316767242178880, 'n': 58, 'trace_an': 0}
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id: 180487800
{'hecke_orbit_code': 396316767242178880, 'n': 59, 'trace_an': 6}
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id: 180487801
{'hecke_orbit_code': 396316767242178880, 'n': 60, 'trace_an': 0}
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id: 180487802
{'hecke_orbit_code': 396316767242178880, 'n': 61, 'trace_an': -2}
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id: 180487803
{'hecke_orbit_code': 396316767242178880, 'n': 62, 'trace_an': 0}
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id: 180487804
{'hecke_orbit_code': 396316767242178880, 'n': 63, 'trace_an': -4}
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id: 180487805
{'hecke_orbit_code': 396316767242178880, 'n': 64, 'trace_an': 0}
-
id: 180487806
{'hecke_orbit_code': 396316767242178880, 'n': 65, 'trace_an': 0}
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id: 180487807
{'hecke_orbit_code': 396316767242178880, 'n': 66, 'trace_an': 0}
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id: 180487808
{'hecke_orbit_code': 396316767242178880, 'n': 67, 'trace_an': 4}
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id: 180487809
{'hecke_orbit_code': 396316767242178880, 'n': 68, 'trace_an': 0}
-
id: 180487810
{'hecke_orbit_code': 396316767242178880, 'n': 69, 'trace_an': 12}
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id: 180487811
{'hecke_orbit_code': 396316767242178880, 'n': 70, 'trace_an': 0}
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id: 180487812
{'hecke_orbit_code': 396316767242178880, 'n': 71, 'trace_an': 6}
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id: 180487813
{'hecke_orbit_code': 396316767242178880, 'n': 72, 'trace_an': 0}
-
id: 180487814
{'hecke_orbit_code': 396316767242178880, 'n': 73, 'trace_an': 10}
-
id: 180487815
{'hecke_orbit_code': 396316767242178880, 'n': 74, 'trace_an': 0}
-
id: 180487816
{'hecke_orbit_code': 396316767242178880, 'n': 75, 'trace_an': 0}
-
id: 180487817
{'hecke_orbit_code': 396316767242178880, 'n': 76, 'trace_an': 0}
-
id: 180487818
{'hecke_orbit_code': 396316767242178880, 'n': 77, 'trace_an': 24}
-
id: 180487819
{'hecke_orbit_code': 396316767242178880, 'n': 78, 'trace_an': 0}
-
id: 180487820
{'hecke_orbit_code': 396316767242178880, 'n': 79, 'trace_an': 4}
-
id: 180487821
{'hecke_orbit_code': 396316767242178880, 'n': 80, 'trace_an': 0}
-
id: 180487822
{'hecke_orbit_code': 396316767242178880, 'n': 81, 'trace_an': -11}
-
id: 180487823
{'hecke_orbit_code': 396316767242178880, 'n': 82, 'trace_an': 0}
-
id: 180487824
{'hecke_orbit_code': 396316767242178880, 'n': 83, 'trace_an': 0}
-
id: 180487825
{'hecke_orbit_code': 396316767242178880, 'n': 84, 'trace_an': 0}
-
id: 180487826
{'hecke_orbit_code': 396316767242178880, 'n': 85, 'trace_an': 0}
-
id: 180487827
{'hecke_orbit_code': 396316767242178880, 'n': 86, 'trace_an': 0}
-
id: 180487828
{'hecke_orbit_code': 396316767242178880, 'n': 87, 'trace_an': 12}
-
id: 180487829
{'hecke_orbit_code': 396316767242178880, 'n': 88, 'trace_an': 0}
-
id: 180487830
{'hecke_orbit_code': 396316767242178880, 'n': 89, 'trace_an': -6}
-
id: 180487831
{'hecke_orbit_code': 396316767242178880, 'n': 90, 'trace_an': 0}
-
id: 180487832
{'hecke_orbit_code': 396316767242178880, 'n': 91, 'trace_an': -4}
-
id: 180487833
{'hecke_orbit_code': 396316767242178880, 'n': 92, 'trace_an': 0}
-
id: 180487834
{'hecke_orbit_code': 396316767242178880, 'n': 93, 'trace_an': -4}
-
id: 180487835
{'hecke_orbit_code': 396316767242178880, 'n': 94, 'trace_an': 0}
-
id: 180487836
{'hecke_orbit_code': 396316767242178880, 'n': 95, 'trace_an': 0}
-
id: 180487837
{'hecke_orbit_code': 396316767242178880, 'n': 96, 'trace_an': 0}
-
id: 180487838
{'hecke_orbit_code': 396316767242178880, 'n': 97, 'trace_an': -2}
-
id: 180487839
{'hecke_orbit_code': 396316767242178880, 'n': 98, 'trace_an': 0}
-
id: 180487840
{'hecke_orbit_code': 396316767242178880, 'n': 99, 'trace_an': -6}
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id: 180487841
{'hecke_orbit_code': 396316767242178880, 'n': 100, 'trace_an': 0}