-
mf_newforms • Show schema
Hide schema
{'Nk2': 90972, 'analytic_conductor': 181.60376931699798, 'atkin_lehner_eigenvals': [[3, 1], [7, -1], [19, 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': [22743, 1, [10109, 6499, 9388], [2, 2, 2]], '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': 2, 'hecke_orbit_code': 4503599660947671, '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': '22743.2.a.b', 'level': 22743, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 19], 'level_radical': 399, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{4}-3q^{5}+q^{7}+3q^{8}+3q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/22743/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22743.2.a', 'trace_display': [-1, 0, -3, 1], 'traces': [1, -1, 0, -1, -3, 0, 1, 3, 0, 3, 1, 0, 6, -1, 0, -1, -1, 0, 0, 3, 0, -1, 0, 0, 4, -6, 0, -1, -6, 0, 0, -5, 0, 1, -3, 0, 7, 0, 0, -9, -7, 0, 8, -1, 0, 0, -2, 0, 1, -4, 0, -6, 6, 0, -3, 3, 0, 6, 14, 0, 4, 0, 0, 7, -18, 0, 2, 1, 0, 3, -8, 0, 10, -7, 0, 0, 1, 0, 0, 3, 0, 7, 12, 0, 3, -8, 0, 3, 1, 0, 6, 0, 0, 2, 0, 0, -8, -1, 0, -4], 'weight': 2, 'weight_parity': 1}
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label 22743.2.a.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [80, 90, 100, 72, 130, 126, 120, 135], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [19, 20, 20, 20, 20, 20, 20, 20], 'ALdims_old': [281, 290, 280, 288, 250, 234, 240, 245], 'Nk2': 90972, 'analytic_conductor': 181.60376931699798, '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': [22743, 1, [10109, 6499, 9388], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2961, 'dim': 853, 'eis_dim': 159, 'eis_new_dim': 0, 'hecke_orbit_code': 33577175, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 16, 16, 16, 18, 18, 18, 18, 20, 20, 24, 24, 30, 30, 30, 30, 48], 'label': '22743.2.a', 'level': 22743, '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': [3, 7, 19], 'level_radical': 399, 'mf_dim': 3120, 'mf_new_dim': 853, 'num_forms': 106, 'plus_dim': 398, 'prim_orbit_index': 1, 'relative_dim': 853, 'sturm_bound': 6080, 'trace_display': [3, 0, 2, 1], 'traces': [853, 3, 0, 859, 2, 0, 1, 3, 0, -2, 0, 0, 10, 3, 0, 863, 14, 0, 0, 6, 0, -20, -8, 0, 875, 2, 0, 3, 18, 0, 0, -21, 0, -22, -6, 0, 10, 0, 0, -42, 34, 0, -20, 0, 0, 4, 4, 0, 853, -43, 0, 50, -10, 0, -4, 15, 0, 38, 16, 0, 42, -64, 0, 891, 56, 0, 16, -46, 0, 14, -20, 0, -22, 10, 0, 0, -4, 0, 0, -54, 0, 14, -36, 0, 56, -52, 0, 12, 10, 0, -2, -88, 0, 36, 0, 0, -10, 3, 0, 969, 34, 0, -12, -6, 0, 98, 48, 0, 34, -28, 0, 23, 10, 0, 36, 58, 0, 64, -14, 0, 845, 38, 0, 68, 0, 0, -40, 31, 0, 64, 56, 0, 0, 84, 0, -74, 46, 0, -56, -14, 0, -28, -56, 0, 20, -50, 0, 62, 34, 0, -44, 0, 0, 24, -20, 0, -14, 12, 0, -62, 8, 0, -8, 106, 0, -12, -36, 0, 847, 48, 0, -88, 14, 0, -17, -44, 0, 62, -8, 0, 14, -14, 0, 88, -8, 0, 8, 84, 0, 0, -4, 0, -106, -94, 0, 859, 34, 0, 12, -79, 0, -34, 6, 0, 8, 184, 0, 110, 0, 0, 20, -10, 0, 8, 36, 0, -12, 42, 0, -80, 48, 0, 36, 63, 0, -90, -44, 0, 78, 60, 0, 66, 18, 0, 80, 108, 0, 14, 0, 0, 2, 67, 0, 18, 2, 0, 0, -100, 0, 48, 28, 0, 116, -100, 0, 847, 62, 0, -2, 48, 0, -24, -84, 0, 96, 0, 0, 76, -6, 0, 4, 86, 0, 82, -8, 0, -14, -216, 0, 42, 142, 0, -20, -28, 0, -108, -2, 0, 859, 56, 0, -214, 26, 0, 20, 2, 0, 86, -100, 0, 20, 44, 0, 0, -80, 0, 84, 28, 0, -64, -84, 0, 2, 78, 0, -80, -58, 0, 104, -170, 0, -44, 0, 0, 10, 160, 0, 202, -48, 0, -76, 8, 0, 4, -88, 0, 30, -35, 0, 208, 44, 0, 1, -28, 0, -102, -76, 0, 38, -43, 0, 24, 102, 0, -4, 14, 0, 84, -100, 0, 0, 514, 0, -26, 324, 0, 92, -104, 0, 296, 6, 0, -18, -256, 0, -116, 216, 0, 80, 0, 0, -88, -252, 0, 24, 346, 0, 102, 38, 0, -28, 3, 0, -6, -208, 0, 378, -132, 0, 1061, -90, 0, 36, 178, 0, 46, -28, 0, -66, 380, 0, -112, 4, 0, -4, -138, 0, 0, -24, 0, 114, -4, 0, 114, 566, 0, 26, -88, 0, -80, 152, 0, -26, 20, 0, 118, 0, 0, -8, 40, 0, 364, -76, 0, 108, -16, 0, 59, -38, 0, -44, 194, 0, -232, 20, 0, -6, -30, 0, 260, 382, 0, -84, -2, 0, 22, 52, 0, -12, 64, 0, 104, 4, 0, 0, -46, 0, 60, 8, 0, -116, 670, 0, 743, -72, 0, -12, -10, 0, -2, -100, 0, -80, 0, 0, 164, 64, 0, 0, 80, 0, -104, -60, 0, 288, 108, 0, -80, 62, 0, 38, 59, 0, -86, -44, 0, -96, -54, 0, 204, 14, 0, -200, -88, 0, -120, 32, 0, 733, 372, 0, 0, 48, 0, -76, 228, 0, 206, 0, 0, -94, 132, 0, 58, 152, 0, -68, 410, 0, -88, 0, 0, -16, -62, 0, -84, 178, 0, -24, 30, 0, -62, 96, 0, 184, 68, 0, 72, 158, 0, 160, 116, 0, 14, 92, 0, -6, -219, 0, -88, -28, 0, 20, 18, 0, 458, 4, 0, 0, -104, 0, 90, -6, 0, 68, 234, 0, -108, -56, 0, 30, 28, 0, 72, 134, 0, 92, 0, 0, 4, 12, 0, 22, 188, 0, 80, 154, 0, -196, 56, 0, -4, 50, 0, 913, 94, 0, -162, -44, 0, 136, 424, 0, 402, 80, 0, 10, 168, 0, 102, 102, 0, -36, 284, 0, 0, -36, 0, -48, 402, 0, 144, -94, 0, -180, 314, 0, -60, 248, 0, 78, 516, 0, -128, 0, 0, 220, -216, 0, 164, 104, 0, -198, 442, 0, 741, -158, 0, -38, 168, 0, 196, -144, 0, 416, 3, 0, -44, 236, 0, 76, -142, 0, 100, 108, 0, -28, -174, 0, -35, 162, 0, 0, 124, 0, -182, 62, 0, 154, -136, 0, -122, -80, 0, 44, -228, 0, -320, -104, 0, -8, 0, 0, 54, 186, 0, -60, -126, 0, 104, -596, 0, 58, -52, 0, 32, -96, 0, -100, -140, 0, 458, -36, 0, 72, -242, 0, -4, 4, 0, 0, 416, 0, -160, 80, 0, 170, -928, 0, 0, 418, 0, -50, 408, 0, -212, -108, 0, -6, -152, 0, -106, -242, 0, -128, -54, 0, 154, 0, 0, 108, -388, 0, 863, -32, 0, 100, 370, 0, 144, 58, 0, -40, -278, 0, -80, -2, 0, -196, -175, 0, 398, -504, 0, -44, -60, 0, 142, 54, 0, -236, 130, 0, 148, -160, 0, 0, 46, 0, 316, -6, 0, -40, 320, 0, -80, 168, 0, 86, -68, 0, 286, 14, 0, -132, 0, 0, -168, -128, 0, 859, 314, 0, 248, 138, 0, -19, -466, 0, 90, 76, 0, 270, 30, 0, -172, 98, 0, -120, -132, 0, -8, 88, 0, 212, -778, 0, -12, -120, 0, -204, 162, 0, 0, -72, 0, -34, -236, 0, 136, 54, 0, 148, -268, 0, -252, 140, 0, 0, -12, 0, 88, 0, 0, -176, 199, 0, 218, 24, 0, 80, -208, 0, 50, 224, 0, -104, -176, 0, -60, -24, 0, 124, -270, 0, 38, -96, 0, -48, -116, 0, -198, 144, 0, 186, 136, 0, -94, 190, 0, 0, 314, 0, 36, 228, 0, 370, 248, 0, 68, 62, 0, 40, 152, 0, -176, -428, 0, 300, 0, 0, -86, 6, 0, 96, -116, 0, 68, -22, 0, 873, 384, 0, 294, 12, 0, -184, 7, 0, -276, -24, 0, -12, 356, 0, -138, 18, 0, -120, 6, 0, 8, 132, 0, 252, 460, 0, 0, -224, 0, 8, -392, 0, 108, -500, 0, 102, -176, 0, 48], 'weight': 2, 'weight_parity': 1}
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source_label 22743.2.a.b does not appear in mf_twists_nf
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hecke_orbit_code 4503599660947671 does not appear in mf_hecke_charpolys
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label 22743.2.a.b does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 120258842
{'hecke_orbit_code': 4503599660947671, 'n': 1, 'trace_an': 1}
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id: 120258843
{'hecke_orbit_code': 4503599660947671, 'n': 2, 'trace_an': -1}
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id: 120258844
{'hecke_orbit_code': 4503599660947671, 'n': 3, 'trace_an': 0}
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id: 120258845
{'hecke_orbit_code': 4503599660947671, 'n': 4, 'trace_an': -1}
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id: 120258846
{'hecke_orbit_code': 4503599660947671, 'n': 5, 'trace_an': -3}
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id: 120258847
{'hecke_orbit_code': 4503599660947671, 'n': 6, 'trace_an': 0}
-
id: 120258848
{'hecke_orbit_code': 4503599660947671, 'n': 7, 'trace_an': 1}
-
id: 120258849
{'hecke_orbit_code': 4503599660947671, 'n': 8, 'trace_an': 3}
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id: 120258850
{'hecke_orbit_code': 4503599660947671, 'n': 9, 'trace_an': 0}
-
id: 120258851
{'hecke_orbit_code': 4503599660947671, 'n': 10, 'trace_an': 3}
-
id: 120258852
{'hecke_orbit_code': 4503599660947671, 'n': 11, 'trace_an': 1}
-
id: 120258853
{'hecke_orbit_code': 4503599660947671, 'n': 12, 'trace_an': 0}
-
id: 120258854
{'hecke_orbit_code': 4503599660947671, 'n': 13, 'trace_an': 6}
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id: 120258855
{'hecke_orbit_code': 4503599660947671, 'n': 14, 'trace_an': -1}
-
id: 120258856
{'hecke_orbit_code': 4503599660947671, 'n': 15, 'trace_an': 0}
-
id: 120258857
{'hecke_orbit_code': 4503599660947671, 'n': 16, 'trace_an': -1}
-
id: 120258858
{'hecke_orbit_code': 4503599660947671, 'n': 17, 'trace_an': -1}
-
id: 120258859
{'hecke_orbit_code': 4503599660947671, 'n': 18, 'trace_an': 0}
-
id: 120258860
{'hecke_orbit_code': 4503599660947671, 'n': 19, 'trace_an': 0}
-
id: 120258861
{'hecke_orbit_code': 4503599660947671, 'n': 20, 'trace_an': 3}
-
id: 120258862
{'hecke_orbit_code': 4503599660947671, 'n': 21, 'trace_an': 0}
-
id: 120258863
{'hecke_orbit_code': 4503599660947671, 'n': 22, 'trace_an': -1}
-
id: 120258864
{'hecke_orbit_code': 4503599660947671, 'n': 23, 'trace_an': 0}
-
id: 120258865
{'hecke_orbit_code': 4503599660947671, 'n': 24, 'trace_an': 0}
-
id: 120258866
{'hecke_orbit_code': 4503599660947671, 'n': 25, 'trace_an': 4}
-
id: 120258867
{'hecke_orbit_code': 4503599660947671, 'n': 26, 'trace_an': -6}
-
id: 120258868
{'hecke_orbit_code': 4503599660947671, 'n': 27, 'trace_an': 0}
-
id: 120258869
{'hecke_orbit_code': 4503599660947671, 'n': 28, 'trace_an': -1}
-
id: 120258870
{'hecke_orbit_code': 4503599660947671, 'n': 29, 'trace_an': -6}
-
id: 120258871
{'hecke_orbit_code': 4503599660947671, 'n': 30, 'trace_an': 0}
-
id: 120258872
{'hecke_orbit_code': 4503599660947671, 'n': 31, 'trace_an': 0}
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id: 120258873
{'hecke_orbit_code': 4503599660947671, 'n': 32, 'trace_an': -5}
-
id: 120258874
{'hecke_orbit_code': 4503599660947671, 'n': 33, 'trace_an': 0}
-
id: 120258875
{'hecke_orbit_code': 4503599660947671, 'n': 34, 'trace_an': 1}
-
id: 120258876
{'hecke_orbit_code': 4503599660947671, 'n': 35, 'trace_an': -3}
-
id: 120258877
{'hecke_orbit_code': 4503599660947671, 'n': 36, 'trace_an': 0}
-
id: 120258878
{'hecke_orbit_code': 4503599660947671, 'n': 37, 'trace_an': 7}
-
id: 120258879
{'hecke_orbit_code': 4503599660947671, 'n': 38, 'trace_an': 0}
-
id: 120258880
{'hecke_orbit_code': 4503599660947671, 'n': 39, 'trace_an': 0}
-
id: 120258881
{'hecke_orbit_code': 4503599660947671, 'n': 40, 'trace_an': -9}
-
id: 120258882
{'hecke_orbit_code': 4503599660947671, 'n': 41, 'trace_an': -7}
-
id: 120258883
{'hecke_orbit_code': 4503599660947671, 'n': 42, 'trace_an': 0}
-
id: 120258884
{'hecke_orbit_code': 4503599660947671, 'n': 43, 'trace_an': 8}
-
id: 120258885
{'hecke_orbit_code': 4503599660947671, 'n': 44, 'trace_an': -1}
-
id: 120258886
{'hecke_orbit_code': 4503599660947671, 'n': 45, 'trace_an': 0}
-
id: 120258887
{'hecke_orbit_code': 4503599660947671, 'n': 46, 'trace_an': 0}
-
id: 120258888
{'hecke_orbit_code': 4503599660947671, 'n': 47, 'trace_an': -2}
-
id: 120258889
{'hecke_orbit_code': 4503599660947671, 'n': 48, 'trace_an': 0}
-
id: 120258890
{'hecke_orbit_code': 4503599660947671, 'n': 49, 'trace_an': 1}
-
id: 120258891
{'hecke_orbit_code': 4503599660947671, 'n': 50, 'trace_an': -4}
-
id: 120258892
{'hecke_orbit_code': 4503599660947671, 'n': 51, 'trace_an': 0}
-
id: 120258893
{'hecke_orbit_code': 4503599660947671, 'n': 52, 'trace_an': -6}
-
id: 120258894
{'hecke_orbit_code': 4503599660947671, 'n': 53, 'trace_an': 6}
-
id: 120258895
{'hecke_orbit_code': 4503599660947671, 'n': 54, 'trace_an': 0}
-
id: 120258896
{'hecke_orbit_code': 4503599660947671, 'n': 55, 'trace_an': -3}
-
id: 120258897
{'hecke_orbit_code': 4503599660947671, 'n': 56, 'trace_an': 3}
-
id: 120258898
{'hecke_orbit_code': 4503599660947671, 'n': 57, 'trace_an': 0}
-
id: 120258899
{'hecke_orbit_code': 4503599660947671, 'n': 58, 'trace_an': 6}
-
id: 120258900
{'hecke_orbit_code': 4503599660947671, 'n': 59, 'trace_an': 14}
-
id: 120258901
{'hecke_orbit_code': 4503599660947671, 'n': 60, 'trace_an': 0}
-
id: 120258902
{'hecke_orbit_code': 4503599660947671, 'n': 61, 'trace_an': 4}
-
id: 120258903
{'hecke_orbit_code': 4503599660947671, 'n': 62, 'trace_an': 0}
-
id: 120258904
{'hecke_orbit_code': 4503599660947671, 'n': 63, 'trace_an': 0}
-
id: 120258905
{'hecke_orbit_code': 4503599660947671, 'n': 64, 'trace_an': 7}
-
id: 120258906
{'hecke_orbit_code': 4503599660947671, 'n': 65, 'trace_an': -18}
-
id: 120258907
{'hecke_orbit_code': 4503599660947671, 'n': 66, 'trace_an': 0}
-
id: 120258908
{'hecke_orbit_code': 4503599660947671, 'n': 67, 'trace_an': 2}
-
id: 120258909
{'hecke_orbit_code': 4503599660947671, 'n': 68, 'trace_an': 1}
-
id: 120258910
{'hecke_orbit_code': 4503599660947671, 'n': 69, 'trace_an': 0}
-
id: 120258911
{'hecke_orbit_code': 4503599660947671, 'n': 70, 'trace_an': 3}
-
id: 120258912
{'hecke_orbit_code': 4503599660947671, 'n': 71, 'trace_an': -8}
-
id: 120258913
{'hecke_orbit_code': 4503599660947671, 'n': 72, 'trace_an': 0}
-
id: 120258914
{'hecke_orbit_code': 4503599660947671, 'n': 73, 'trace_an': 10}
-
id: 120258915
{'hecke_orbit_code': 4503599660947671, 'n': 74, 'trace_an': -7}
-
id: 120258916
{'hecke_orbit_code': 4503599660947671, 'n': 75, 'trace_an': 0}
-
id: 120258917
{'hecke_orbit_code': 4503599660947671, 'n': 76, 'trace_an': 0}
-
id: 120258918
{'hecke_orbit_code': 4503599660947671, 'n': 77, 'trace_an': 1}
-
id: 120258919
{'hecke_orbit_code': 4503599660947671, 'n': 78, 'trace_an': 0}
-
id: 120258920
{'hecke_orbit_code': 4503599660947671, 'n': 79, 'trace_an': 0}
-
id: 120258921
{'hecke_orbit_code': 4503599660947671, 'n': 80, 'trace_an': 3}
-
id: 120258922
{'hecke_orbit_code': 4503599660947671, 'n': 81, 'trace_an': 0}
-
id: 120258923
{'hecke_orbit_code': 4503599660947671, 'n': 82, 'trace_an': 7}
-
id: 120258924
{'hecke_orbit_code': 4503599660947671, 'n': 83, 'trace_an': 12}
-
id: 120258925
{'hecke_orbit_code': 4503599660947671, 'n': 84, 'trace_an': 0}
-
id: 120258926
{'hecke_orbit_code': 4503599660947671, 'n': 85, 'trace_an': 3}
-
id: 120258927
{'hecke_orbit_code': 4503599660947671, 'n': 86, 'trace_an': -8}
-
id: 120258928
{'hecke_orbit_code': 4503599660947671, 'n': 87, 'trace_an': 0}
-
id: 120258929
{'hecke_orbit_code': 4503599660947671, 'n': 88, 'trace_an': 3}
-
id: 120258930
{'hecke_orbit_code': 4503599660947671, 'n': 89, 'trace_an': 1}
-
id: 120258931
{'hecke_orbit_code': 4503599660947671, 'n': 90, 'trace_an': 0}
-
id: 120258932
{'hecke_orbit_code': 4503599660947671, 'n': 91, 'trace_an': 6}
-
id: 120258933
{'hecke_orbit_code': 4503599660947671, 'n': 92, 'trace_an': 0}
-
id: 120258934
{'hecke_orbit_code': 4503599660947671, 'n': 93, 'trace_an': 0}
-
id: 120258935
{'hecke_orbit_code': 4503599660947671, 'n': 94, 'trace_an': 2}
-
id: 120258936
{'hecke_orbit_code': 4503599660947671, 'n': 95, 'trace_an': 0}
-
id: 120258937
{'hecke_orbit_code': 4503599660947671, 'n': 96, 'trace_an': 0}
-
id: 120258938
{'hecke_orbit_code': 4503599660947671, 'n': 97, 'trace_an': -8}
-
id: 120258939
{'hecke_orbit_code': 4503599660947671, 'n': 98, 'trace_an': -1}
-
id: 120258940
{'hecke_orbit_code': 4503599660947671, 'n': 99, 'trace_an': 0}
-
id: 120258941
{'hecke_orbit_code': 4503599660947671, 'n': 100, 'trace_an': -4}