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mf_newforms • Show schema
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{'Nk2': 193600, 'analytic_conductor': 386.47594578299703, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, 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': [48400, 1, [42351, 12101, 30977, 14401], [71, 71, 71, 71]], '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': 71, 'hecke_orbit_code': 315251973949537552, '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': '48400.2.a.cs', 'level': 48400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+4q^{7}-2q^{9}-4q^{13}-4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/48400/cs'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '48400.2.a', 'trace_display': [0, 1, 0, 4], 'traces': [1, 0, 1, 0, 0, 0, 4, 0, -2, 0, 0, 0, -4, 0, 0, 0, -4, 0, 4, 0, 4, 0, -3, 0, 0, 0, -5, 0, 8, 0, -9, 0, 0, 0, 0, 0, 5, 0, -4, 0, -12, 0, 8, 0, 0, 0, 4, 0, 9, 0, -4, 0, 10, 0, 0, 0, 4, 0, -7, 0, -8, 0, -8, 0, 0, 0, 11, 0, -3, 0, 9, 0, -4, 0, 0, 0, 0, 0, -8, 0, 1, 0, 0, 0, 0, 0, 8, 0, -1, 0, -16, 0, -9, 0, 0, 0, -1, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 48400.2.a.cs does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [120, 125, 138, 135, 121, 120, 128, 135], 'ALdims_eis_new': [0, 0, 0, 0, 4, 5, 8, 10], 'ALdims_eis_old': [53, 54, 54, 54, 50, 49, 46, 44], 'ALdims_old': [835, 847, 828, 825, 851, 834, 832, 831], 'Nk2': 193600, 'analytic_conductor': 386.47594578299703, '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': [48400, 1, [42351, 12101, 30977, 14401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 7705, 'dim': 1022, 'eis_dim': 431, 'eis_new_dim': 27, 'hecke_orbit_code': 33602832, '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, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 16, 16, 18, 18, 18, 18], 'label': '48400.2.a', 'level': 48400, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 8136, 'mf_new_dim': 1049, 'num_forms': 299, 'plus_dim': 503, 'prim_orbit_index': 1, 'relative_dim': 1022, 'sturm_bound': 15840, 'trace_display': [0, 0, 0, -2], 'traces': [1022, 0, 0, 0, 0, 0, -2, 0, 992, 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0, 0, 0, 0, 0, -52, 0, -44, 0, -24, 0, 0, 0, -6, 0, 22, 0, 62, 0, 14, 0, 0, 0, -58, 0, 0, 0, 56, 0, 76, 0, 0, 0, -104, 0, 4, 0, -60, 0, 30, 0, 0, 0, 54, 0, 110, 0, 0, 0, -76, 0, 0, 0, 18, 0, 14, 0, 80, 0, 24, 0, 0, 0, -26, 0, -16, 0, 788, 0, 0, 0, 0, 0, -192, 0, -34, 0, 52, 0, 38, 0, 0, 0, 36, 0, -194, 0, -52, 0, 172, 0, 0, 0, -42, 0, -14, 0, 104, 0, -64, 0, 0, 0, 0, 0, -364, 0, 6, 0, 40, 0, 0, 0, 0, 0, 34, 0, 8, 0, 0, 0, 0, 0, -40, 0, 236, 0, 26, 0, 60, 0, 0, 0, -108, 0, 0, 0, 40, 0, 14, 0, 0, 0, -48, 0, 88, 0, 824, 0, -64, 0, 0, 0, 120, 0, 10, 0, 0, 0, 104, 0, 0, 0, 14, 0, -208, 0, -10, 0, -318, 0, 0, 0, -16, 0, 84, 0, -166, 0, 0, 0, 0, 0, 80, 0, 168, 0, -36, 0, 204, 0, 0, 0, 36, 0, 32, 0, 64, 0, -144, 0, 0, 0, 72, 0, -38, 0, 100, 0, 114, 0, 0, 0, -378, 0, 2, 0, 26, 0, -56, 0, 0, 0, 0, 0, -8, 0, 70, 0, 6, 0, 0, 0, -4, 0, 754, 0, 122, 0, -104, 0, 0, 0, 54, 0, 0, 0, 94, 0, -80, 0, 0, 0, 114, 0, 26, 0, 18, 0, -56, 0, 0, 0, 110, 0, -212, 0, 0, 0, 134, 0, 0, 0, -90, 0, -22, 0, -80, 0, 146, 0, 0, 0, 38, 0, 264, 0, 44, 0, 0, 0, 0, 0, -68, 0, 32, 0, -144, 0, -26, 0, 0, 0, 112, 0, 130, 0, -54, 0, -386, 0, 0, 0, 94, 0, -72, 0, 36, 0, -10, 0, 0, 0, 56, 0, -54, 0, 144, 0, -40, 0, 0, 0, 0, 0, 116, 0, 174, 0, -96, 0, 0, 0, -10, 0, -88, 0, -42, 0, -88, 0, 0, 0, -160, 0, 0, 0, -292, 0, -14, 0, 0, 0, 38, 0, -84, 0, 44, 0, -122, 0, 0, 0, -68, 0, 58, 0, 0, 0, -114, 0, 0, 0, 94, 0, -40, 0, -84, 0, 98, 0, 0, 0, -288, 0, -76, 0, 126, 0, 0, 0, 0, 0, -4, 0, -92, 0, 82, 0, -208, 0, 0, 0, 28, 0, 58, 0, -152, 0, -16, 0, 0, 0, 32, 0, 34, 0, -132, 0, -324, 0, 0, 0, 134, 0, 488, 0, 204, 0, 30, 0, 0, 0, 0, 0, -64, 0, 234, 0, -74, 0, 0, 0, -10, 0, 86, 0, -54, 0, -96, 0, 0, 0, 54, 0, 0, 0, -98, 0, -128, 0, 0, 0, -104, 0, -26, 0, 2, 0, -118, 0, 0, 0, -136, 0, -202, 0, 0, 0, -152, 0, 0, 0, 90, 0, 164, 0, 280, 0, -90, 0, 0, 0, 46, 0, -116, 0, 152, 0, 0, 0, 0, 0, -12, 0, -38, 0, 324, 0, 80, 0, 0, 0, -136, 0, -74, 0, 42, 0, 316, 0, 0, 0, -30, 0, -14, 0, 208, 0, -74, 0, 0, 0, 58, 0, 150, 0, 612, 0, 16, 0, 0, 0, 0, 0, -24, 0, 168, 0, -58, 0, 0, 0, 118, 0, 176, 0, 136, 0, 276, 0, 0, 0, 202, 0, 0, 0, -4, 0, -56, 0, 0, 0, 118, 0, 148, 0, 0, 0, 204, 0, 0, 0, 102, 0, -100, 0, 0, 0, -72, 0, 0, 0, -48, 0, -24, 0, 92, 0, -352, 0, 0, 0, 96, 0, -130, 0, 74, 0, 0, 0, 0, 0, 8, 0, 212, 0, 32, 0, 216, 0, 0, 0, 100, 0, -90, 0, -168, 0, 70, 0, 0, 0, -90, 0, -24, 0, -58, 0, 276, 0, 0, 0, 46, 0, -12, 0, 0, 0, 94, 0, 0, 0, 0, 0, 8, 0, 444, 0, 210, 0, 0, 0, 50, 0, 370, 0, 198, 0, 22, 0, 0, 0, 218, 0, 0, 0, -22, 0, -140, 0, 0, 0, 232, 0, 196, 0, 200, 0, 220, 0, 0, 0, -74, 0, 70, 0], 'weight': 2, 'weight_parity': 1}
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source_label 48400.2.a.cs does not appear in mf_twists_nf
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hecke_orbit_code 315251973949537552 does not appear in mf_hecke_charpolys
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label 48400.2.a.cs does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 178096642
{'hecke_orbit_code': 315251973949537552, 'n': 1, 'trace_an': 1}
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id: 178096643
{'hecke_orbit_code': 315251973949537552, 'n': 2, 'trace_an': 0}
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id: 178096644
{'hecke_orbit_code': 315251973949537552, 'n': 3, 'trace_an': 1}
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id: 178096645
{'hecke_orbit_code': 315251973949537552, 'n': 4, 'trace_an': 0}
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id: 178096646
{'hecke_orbit_code': 315251973949537552, 'n': 5, 'trace_an': 0}
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id: 178096647
{'hecke_orbit_code': 315251973949537552, 'n': 6, 'trace_an': 0}
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id: 178096648
{'hecke_orbit_code': 315251973949537552, 'n': 7, 'trace_an': 4}
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id: 178096649
{'hecke_orbit_code': 315251973949537552, 'n': 8, 'trace_an': 0}
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id: 178096650
{'hecke_orbit_code': 315251973949537552, 'n': 9, 'trace_an': -2}
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id: 178096651
{'hecke_orbit_code': 315251973949537552, 'n': 10, 'trace_an': 0}
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id: 178096652
{'hecke_orbit_code': 315251973949537552, 'n': 11, 'trace_an': 0}
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id: 178096653
{'hecke_orbit_code': 315251973949537552, 'n': 12, 'trace_an': 0}
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id: 178096654
{'hecke_orbit_code': 315251973949537552, 'n': 13, 'trace_an': -4}
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id: 178096655
{'hecke_orbit_code': 315251973949537552, 'n': 14, 'trace_an': 0}
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id: 178096656
{'hecke_orbit_code': 315251973949537552, 'n': 15, 'trace_an': 0}
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id: 178096657
{'hecke_orbit_code': 315251973949537552, 'n': 16, 'trace_an': 0}
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id: 178096658
{'hecke_orbit_code': 315251973949537552, 'n': 17, 'trace_an': -4}
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id: 178096659
{'hecke_orbit_code': 315251973949537552, 'n': 18, 'trace_an': 0}
-
id: 178096660
{'hecke_orbit_code': 315251973949537552, 'n': 19, 'trace_an': 4}
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id: 178096661
{'hecke_orbit_code': 315251973949537552, 'n': 20, 'trace_an': 0}
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id: 178096662
{'hecke_orbit_code': 315251973949537552, 'n': 21, 'trace_an': 4}
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id: 178096663
{'hecke_orbit_code': 315251973949537552, 'n': 22, 'trace_an': 0}
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id: 178096664
{'hecke_orbit_code': 315251973949537552, 'n': 23, 'trace_an': -3}
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id: 178096665
{'hecke_orbit_code': 315251973949537552, 'n': 24, 'trace_an': 0}
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id: 178096666
{'hecke_orbit_code': 315251973949537552, 'n': 25, 'trace_an': 0}
-
id: 178096667
{'hecke_orbit_code': 315251973949537552, 'n': 26, 'trace_an': 0}
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id: 178096668
{'hecke_orbit_code': 315251973949537552, 'n': 27, 'trace_an': -5}
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id: 178096669
{'hecke_orbit_code': 315251973949537552, 'n': 28, 'trace_an': 0}
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id: 178096670
{'hecke_orbit_code': 315251973949537552, 'n': 29, 'trace_an': 8}
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id: 178096671
{'hecke_orbit_code': 315251973949537552, 'n': 30, 'trace_an': 0}
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id: 178096672
{'hecke_orbit_code': 315251973949537552, 'n': 31, 'trace_an': -9}
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id: 178096673
{'hecke_orbit_code': 315251973949537552, 'n': 32, 'trace_an': 0}
-
id: 178096674
{'hecke_orbit_code': 315251973949537552, 'n': 33, 'trace_an': 0}
-
id: 178096675
{'hecke_orbit_code': 315251973949537552, 'n': 34, 'trace_an': 0}
-
id: 178096676
{'hecke_orbit_code': 315251973949537552, 'n': 35, 'trace_an': 0}
-
id: 178096677
{'hecke_orbit_code': 315251973949537552, 'n': 36, 'trace_an': 0}
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id: 178096678
{'hecke_orbit_code': 315251973949537552, 'n': 37, 'trace_an': 5}
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id: 178096679
{'hecke_orbit_code': 315251973949537552, 'n': 38, 'trace_an': 0}
-
id: 178096680
{'hecke_orbit_code': 315251973949537552, 'n': 39, 'trace_an': -4}
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id: 178096681
{'hecke_orbit_code': 315251973949537552, 'n': 40, 'trace_an': 0}
-
id: 178096682
{'hecke_orbit_code': 315251973949537552, 'n': 41, 'trace_an': -12}
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id: 178096683
{'hecke_orbit_code': 315251973949537552, 'n': 42, 'trace_an': 0}
-
id: 178096684
{'hecke_orbit_code': 315251973949537552, 'n': 43, 'trace_an': 8}
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id: 178096685
{'hecke_orbit_code': 315251973949537552, 'n': 44, 'trace_an': 0}
-
id: 178096686
{'hecke_orbit_code': 315251973949537552, 'n': 45, 'trace_an': 0}
-
id: 178096687
{'hecke_orbit_code': 315251973949537552, 'n': 46, 'trace_an': 0}
-
id: 178096688
{'hecke_orbit_code': 315251973949537552, 'n': 47, 'trace_an': 4}
-
id: 178096689
{'hecke_orbit_code': 315251973949537552, 'n': 48, 'trace_an': 0}
-
id: 178096690
{'hecke_orbit_code': 315251973949537552, 'n': 49, 'trace_an': 9}
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id: 178096691
{'hecke_orbit_code': 315251973949537552, 'n': 50, 'trace_an': 0}
-
id: 178096692
{'hecke_orbit_code': 315251973949537552, 'n': 51, 'trace_an': -4}
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id: 178096693
{'hecke_orbit_code': 315251973949537552, 'n': 52, 'trace_an': 0}
-
id: 178096694
{'hecke_orbit_code': 315251973949537552, 'n': 53, 'trace_an': 10}
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id: 178096695
{'hecke_orbit_code': 315251973949537552, 'n': 54, 'trace_an': 0}
-
id: 178096696
{'hecke_orbit_code': 315251973949537552, 'n': 55, 'trace_an': 0}
-
id: 178096697
{'hecke_orbit_code': 315251973949537552, 'n': 56, 'trace_an': 0}
-
id: 178096698
{'hecke_orbit_code': 315251973949537552, 'n': 57, 'trace_an': 4}
-
id: 178096699
{'hecke_orbit_code': 315251973949537552, 'n': 58, 'trace_an': 0}
-
id: 178096700
{'hecke_orbit_code': 315251973949537552, 'n': 59, 'trace_an': -7}
-
id: 178096701
{'hecke_orbit_code': 315251973949537552, 'n': 60, 'trace_an': 0}
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id: 178096702
{'hecke_orbit_code': 315251973949537552, 'n': 61, 'trace_an': -8}
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id: 178096703
{'hecke_orbit_code': 315251973949537552, 'n': 62, 'trace_an': 0}
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id: 178096704
{'hecke_orbit_code': 315251973949537552, 'n': 63, 'trace_an': -8}
-
id: 178096705
{'hecke_orbit_code': 315251973949537552, 'n': 64, 'trace_an': 0}
-
id: 178096706
{'hecke_orbit_code': 315251973949537552, 'n': 65, 'trace_an': 0}
-
id: 178096707
{'hecke_orbit_code': 315251973949537552, 'n': 66, 'trace_an': 0}
-
id: 178096708
{'hecke_orbit_code': 315251973949537552, 'n': 67, 'trace_an': 11}
-
id: 178096709
{'hecke_orbit_code': 315251973949537552, 'n': 68, 'trace_an': 0}
-
id: 178096710
{'hecke_orbit_code': 315251973949537552, 'n': 69, 'trace_an': -3}
-
id: 178096711
{'hecke_orbit_code': 315251973949537552, 'n': 70, 'trace_an': 0}
-
id: 178096712
{'hecke_orbit_code': 315251973949537552, 'n': 71, 'trace_an': 9}
-
id: 178096713
{'hecke_orbit_code': 315251973949537552, 'n': 72, 'trace_an': 0}
-
id: 178096714
{'hecke_orbit_code': 315251973949537552, 'n': 73, 'trace_an': -4}
-
id: 178096715
{'hecke_orbit_code': 315251973949537552, 'n': 74, 'trace_an': 0}
-
id: 178096716
{'hecke_orbit_code': 315251973949537552, 'n': 75, 'trace_an': 0}
-
id: 178096717
{'hecke_orbit_code': 315251973949537552, 'n': 76, 'trace_an': 0}
-
id: 178096718
{'hecke_orbit_code': 315251973949537552, 'n': 77, 'trace_an': 0}
-
id: 178096719
{'hecke_orbit_code': 315251973949537552, 'n': 78, 'trace_an': 0}
-
id: 178096720
{'hecke_orbit_code': 315251973949537552, 'n': 79, 'trace_an': -8}
-
id: 178096721
{'hecke_orbit_code': 315251973949537552, 'n': 80, 'trace_an': 0}
-
id: 178096722
{'hecke_orbit_code': 315251973949537552, 'n': 81, 'trace_an': 1}
-
id: 178096723
{'hecke_orbit_code': 315251973949537552, 'n': 82, 'trace_an': 0}
-
id: 178096724
{'hecke_orbit_code': 315251973949537552, 'n': 83, 'trace_an': 0}
-
id: 178096725
{'hecke_orbit_code': 315251973949537552, 'n': 84, 'trace_an': 0}
-
id: 178096726
{'hecke_orbit_code': 315251973949537552, 'n': 85, 'trace_an': 0}
-
id: 178096727
{'hecke_orbit_code': 315251973949537552, 'n': 86, 'trace_an': 0}
-
id: 178096728
{'hecke_orbit_code': 315251973949537552, 'n': 87, 'trace_an': 8}
-
id: 178096729
{'hecke_orbit_code': 315251973949537552, 'n': 88, 'trace_an': 0}
-
id: 178096730
{'hecke_orbit_code': 315251973949537552, 'n': 89, 'trace_an': -1}
-
id: 178096731
{'hecke_orbit_code': 315251973949537552, 'n': 90, 'trace_an': 0}
-
id: 178096732
{'hecke_orbit_code': 315251973949537552, 'n': 91, 'trace_an': -16}
-
id: 178096733
{'hecke_orbit_code': 315251973949537552, 'n': 92, 'trace_an': 0}
-
id: 178096734
{'hecke_orbit_code': 315251973949537552, 'n': 93, 'trace_an': -9}
-
id: 178096735
{'hecke_orbit_code': 315251973949537552, 'n': 94, 'trace_an': 0}
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id: 178096736
{'hecke_orbit_code': 315251973949537552, 'n': 95, 'trace_an': 0}
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id: 178096737
{'hecke_orbit_code': 315251973949537552, 'n': 96, 'trace_an': 0}
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id: 178096738
{'hecke_orbit_code': 315251973949537552, 'n': 97, 'trace_an': -1}
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id: 178096739
{'hecke_orbit_code': 315251973949537552, 'n': 98, 'trace_an': 0}
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id: 178096740
{'hecke_orbit_code': 315251973949537552, 'n': 99, 'trace_an': 0}
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id: 178096741
{'hecke_orbit_code': 315251973949537552, 'n': 100, 'trace_an': 0}