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mf_newforms • Show schema
Hide schema
{'Nk2': 58564, 'analytic_conductor': 116.90897359935661, 'atkin_lehner_eigenvals': [[11, 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': [14641, 1, [2], [4]], 'cm_discs': [], 'conrey_index': 1, 'dim': 35, 'fricke_eigenval': 1, 'has_non_self_twist': -1, 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915680561, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '14641.2.a.d', 'level': 14641, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 35, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '14641.2.a', 'trace_display': [4, -5, -2, -4], 'traces': [35, 4, -5, 28, -2, -6, -4, 9, 32, 2, 0, -23, 4, 14, -19, 10, 24, 8, 1, -3, 50, 0, -29, -30, 5, -12, -50, -17, 18, -47, -18, 62, 0, -6, -46, -20, 2, -20, -39, -56, 23, -7, -11, 0, -14, -58, -27, -65, -21, 47, -36, -60, -40, -60, 0, -50, -40, 3, -20, 14, 68, 62, -52, -31, 13, 0, 4, 58, 1, -13, -57, -15, -26, -24, -75, -26, 0, 44, -40, -46, -45, -75, -53, 86, 1, -33, -71, 0, -73, 70, -19, 1, 27, -17, -71, 61, -51, -36, 0, -26], 'weight': 2, 'weight_parity': 1}
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label 14641.2.a.d does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [510, 540], 'ALdims_eis_new': [50, 50], 'ALdims_eis_old': [15, 16], 'ALdims_old': [107, 109], 'Nk2': 58564, 'analytic_conductor': 116.90897359935661, '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': [14641, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 1266, 'dim': 1050, 'eis_dim': 131, 'eis_new_dim': 100, 'hecke_orbit_code': 33569073, 'hecke_orbit_dims': [5, 5, 35, 35, 50, 50, 90, 90, 90, 200, 200, 200], 'label': '14641.2.a', 'level': 14641, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'mf_dim': 1397, 'mf_new_dim': 1150, 'num_forms': 12, 'plus_dim': 510, 'prim_orbit_index': 1, 'relative_dim': 1050, 'sturm_bound': 2662, 'trace_display': [0, 0, 0, 0], 'traces': [1050, 0, 0, 1000, 0, 0, 0, 0, 950, 0, 0, 10, 0, 0, 0, 900, 0, 0, 0, 0, 0, 0, 10, 0, 850, 20, 0, 0, 0, 0, 0, 0, 0, 10, 0, 800, 0, 0, 0, 0, 0, 30, 0, 0, 10, 0, 0, 20, 750, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 40, 0, 0, 0, 700, 0, 0, 10, 0, 0, 20, 0, 0, 0, 0, 30, 0, 0, 10, 0, 50, 650, 0, 0, 0, 0, 0, 0, 0, 10, 0, -44, 20, -44, 0, 0, 0, -44, 0, 0, 610, 0, 60, -44, 40, 0, 0, 0, 30, 0, 0, -34, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -166, 0, 0, -66, 70, 0, 0, 0, -66, 0, 0, -34, 0, 50, 20, -66, 0, 0, 0, 30, 0, 0, 510, 0, -66, -44, 40, 0, 0, 0, 80, 0, 0, 10, 0, -66, 20, 0, 0, 0, 0, -44, 0, 0, 10, 0, 60, 450, -66, 0, 0, 0, 30, 0, 0, 10, 0, 0, 110, -44, 0, 0, 0, -66, 0, 0, 10, 0, 50, 0, 40, 0, 0, 0, 400, 0, 0, 10, 0, -44, -46, 70, 0, 0, 0, 30, 0, 0, 110, 0, 110, 0, 110, 0, 0, 0, 110, 0, 0, -56, 0, -44, 130, 350, 0, 0, 0, 0, 0, 0, 120, 0, 60, 0, 40, 0, 0, 0, 110, 0, 0, 10, 0, 50, -90, -44, 0, 0, 0, 110, 0, 0, 120, 0, 300, 0, 110, 0, 0, 0, 0, 0, 0, -56, 0, 110, 130, 0, 0, 0, 0, -14, 0, 0, 130, 0, 110, 90, 110, 0, 0, 0, 110, 0, 0, 10, 0, 250, -46, 110, 0, 0, 0, 0, 0, 0, 10, 0, 110, -44, 110, 0, 0, 0, 140, 0, 0, 10, 0, 0, 150, 0, 0, 0, 0, -66, 0, 0, 110, 0, 110, 110, 240, 0, 0, 0, 80, 0, 0, -34, 0, 110, 20, 110, 0, 0, 0, 140, 0, 0, 120, 0, 110, 110, -66, 0, 0, 0, 140, 0, 0, 120, 0, 50, 20, 70, 0, 0, 0, 150, 0, 0, -276, 0, 60, -176, 150, 0, 0, 0, -476, 0, 0, 120, 0, -66, 110, -176, 0, 0, 0, 0, 0, 0, 120, 0, -176, 110, 150, 0, 0, 0, 110, 0, 0, -34, 0, -176, 120, 0, 0, 0, 0, 140, 0, 0, 130, 0, -16, 110, -136, 0, 0, 0, 80, 0, 0, 10, 0, 0, 130, 110, 0, 0, 0, -176, 0, 0, 110, 0, 220, -44, 70, 0, 0, 0, 140, 0, 0, 60, 0, 110, -156, -66, 0, 0, 0, 0, 0, 0, 120, 0, -264, 130, -224, 0, 0, 0, -264, 0, 0, -166, 0, 160, -244, 110, 0, 0, 0, -14, 0, 0, -254, 0, 170, 90, 0, 0, 0, 0, -66, 0, 0, -298, 0, 0, -398, 110, 0, 0, 0, -198, 0, 0, -254, 0, 170, 0, -598, 0, 0, 0, 250, 0, 0, -166, 0, -198, -244, 26, 0, 0, 0, 110, 0, 0, 120, 0, -148, -66, 180, 0, 0, 0, -264, 0, 0, -40, 0, 110, -156, -198, 0, 0, 0, 30, 0, 0, 230, 0, 0, 110, -224, 0, 0, 0, -198, 0, 0, 10, 0, -44, 130, 150, 0, 0, 0, -176, 0, 0, -56, 0, -204, -198, 110, 0, 0, 0, 220, 0, 0, 120, 0, 160, 10, 110, 0, 0, 0, 110, 0, 0, -188, 0, -264, 110, -66, 0, 0, 0, 190, 0, 0, 120, 0, -44, 150, 0, 0, 0, 0, 140, 0, 0, -364, 0, 160, -264, -264, 0, 0, 0, -264, 0, 0, 120, 0, -176, 220, -264, 0, 0, 0, -150, 0, 0, -188, 0, -704, 110, 150, 0, 0, 0, -234, 0, 0, 120, 0, -264, 130, -44, 0, 0, 0, 110, 0, 0, 44, 0, -176, -198, -264, 0, 0, 0, 140, 0, 0, 10, 0, 170, -244, 180, 0, 0, 0, -234, 0, 0, 340, 0, 110, 200, -160, 0, 0, 0, -118, 0, 0, 120, 0, 160, -244, -176, 0, 0, 0, -44, 0, 0, -254, 0, -336, -66, -396, 0, 0, 0, -366, 0, 0, -254, 0, 110, -376, -198, 0, 0, 0, 110, 0, 0, -386, 0, 110, 0, 370, 0, 0, 0, -176, 0, 0, 120, 0, -250, 20, 110, 0, 0, 0, -80, 0, 0, -386, 0, -148, 86, 290, 0, 0, 0, -66, 0, 0, -254, 0, 220, -376, 110, 0, 0, 0, 110, 0, 0, -154, 0, -380, -176, 150, 0, 0, 0, -286, 0, 0, 120, 0, -198, -154, 220, 0, 0, 0, 190, 0, 0, 240, 0, -140, 110, -396, 0, 0, 0, 220, 0, 0, -34, 0, 160, -244, -66, 0, 0, 0, -234, 0, 0, -46, 0, -396, 220, -158, 0, 0, 0, 250, 0, 0, 120, 0, -176, 130, -106, 0, 0, 0, -176, 0, 0, 230, 0, -336, -176, -264, 0, 0, 0, -234, 0, 0, -166, 0, 110, 460, -350, 0, 0, 0, -198, 0, 0, 120, 0, 154, 220, -356, 0, 0, 0, 300, 0, 0, -166, 0, -264, 130, 220, 0, 0, 0, 140, 0, 0, 330, 0, 220, -86, -264, 0, 0, 0, -396, 0, 0, 120, 0, 220, -48, 260, 0, 0, 0, -176, 0, 0, -166, 0, -204, 220, -440, 0, 0, 0, -120, 0, 0, 176, 0, -16, -376, -176, 0, 0, 0, 220, 0, 0, 120, 0, -264, 110, 290, 0, 0, 0, 220, 0, 0, -188, 0, -176, 240, -264, 0, 0, 0, 140, 0, 0, -266, 0, -396, -176, -356, 0, 0, 0, -316, 0, 0, 230, 0, -176, -376, 220, 0, 0, 0, 110, 0, 0, -386, 0, 6, -494, 194, 0, 0, 0, -94, 0, 0, 230, 0, 110, 220, -106, 0, 0, 0, 330, 0, 0, -286, 0, 220, 110, -70, 0, 0, 0, 14, 0, 0, 230, 0, 330, -376, 110, 0, 0, 0, -146, 0], 'weight': 2, 'weight_parity': 1}
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source_label 14641.2.a.d does not appear in mf_twists_nf
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hecke_orbit_code 13510798915680561 does not appear in mf_hecke_charpolys
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label 14641.2.a.d does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 126660642
{'hecke_orbit_code': 13510798915680561, 'n': 1, 'trace_an': 35}
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id: 126660643
{'hecke_orbit_code': 13510798915680561, 'n': 2, 'trace_an': 4}
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id: 126660644
{'hecke_orbit_code': 13510798915680561, 'n': 3, 'trace_an': -5}
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id: 126660645
{'hecke_orbit_code': 13510798915680561, 'n': 4, 'trace_an': 28}
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id: 126660646
{'hecke_orbit_code': 13510798915680561, 'n': 5, 'trace_an': -2}
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id: 126660647
{'hecke_orbit_code': 13510798915680561, 'n': 6, 'trace_an': -6}
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id: 126660648
{'hecke_orbit_code': 13510798915680561, 'n': 7, 'trace_an': -4}
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id: 126660649
{'hecke_orbit_code': 13510798915680561, 'n': 8, 'trace_an': 9}
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id: 126660650
{'hecke_orbit_code': 13510798915680561, 'n': 9, 'trace_an': 32}
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id: 126660651
{'hecke_orbit_code': 13510798915680561, 'n': 10, 'trace_an': 2}
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id: 126660652
{'hecke_orbit_code': 13510798915680561, 'n': 11, 'trace_an': 0}
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id: 126660653
{'hecke_orbit_code': 13510798915680561, 'n': 12, 'trace_an': -23}
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id: 126660654
{'hecke_orbit_code': 13510798915680561, 'n': 13, 'trace_an': 4}
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id: 126660655
{'hecke_orbit_code': 13510798915680561, 'n': 14, 'trace_an': 14}
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id: 126660656
{'hecke_orbit_code': 13510798915680561, 'n': 15, 'trace_an': -19}
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id: 126660657
{'hecke_orbit_code': 13510798915680561, 'n': 16, 'trace_an': 10}
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id: 126660658
{'hecke_orbit_code': 13510798915680561, 'n': 17, 'trace_an': 24}
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id: 126660659
{'hecke_orbit_code': 13510798915680561, 'n': 18, 'trace_an': 8}
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id: 126660660
{'hecke_orbit_code': 13510798915680561, 'n': 19, 'trace_an': 1}
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id: 126660661
{'hecke_orbit_code': 13510798915680561, 'n': 20, 'trace_an': -3}
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id: 126660662
{'hecke_orbit_code': 13510798915680561, 'n': 21, 'trace_an': 50}
-
id: 126660663
{'hecke_orbit_code': 13510798915680561, 'n': 22, 'trace_an': 0}
-
id: 126660664
{'hecke_orbit_code': 13510798915680561, 'n': 23, 'trace_an': -29}
-
id: 126660665
{'hecke_orbit_code': 13510798915680561, 'n': 24, 'trace_an': -30}
-
id: 126660666
{'hecke_orbit_code': 13510798915680561, 'n': 25, 'trace_an': 5}
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id: 126660667
{'hecke_orbit_code': 13510798915680561, 'n': 26, 'trace_an': -12}
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id: 126660668
{'hecke_orbit_code': 13510798915680561, 'n': 27, 'trace_an': -50}
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id: 126660669
{'hecke_orbit_code': 13510798915680561, 'n': 28, 'trace_an': -17}
-
id: 126660670
{'hecke_orbit_code': 13510798915680561, 'n': 29, 'trace_an': 18}
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id: 126660671
{'hecke_orbit_code': 13510798915680561, 'n': 30, 'trace_an': -47}
-
id: 126660672
{'hecke_orbit_code': 13510798915680561, 'n': 31, 'trace_an': -18}
-
id: 126660673
{'hecke_orbit_code': 13510798915680561, 'n': 32, 'trace_an': 62}
-
id: 126660674
{'hecke_orbit_code': 13510798915680561, 'n': 33, 'trace_an': 0}
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id: 126660675
{'hecke_orbit_code': 13510798915680561, 'n': 34, 'trace_an': -6}
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id: 126660676
{'hecke_orbit_code': 13510798915680561, 'n': 35, 'trace_an': -46}
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id: 126660677
{'hecke_orbit_code': 13510798915680561, 'n': 36, 'trace_an': -20}
-
id: 126660678
{'hecke_orbit_code': 13510798915680561, 'n': 37, 'trace_an': 2}
-
id: 126660679
{'hecke_orbit_code': 13510798915680561, 'n': 38, 'trace_an': -20}
-
id: 126660680
{'hecke_orbit_code': 13510798915680561, 'n': 39, 'trace_an': -39}
-
id: 126660681
{'hecke_orbit_code': 13510798915680561, 'n': 40, 'trace_an': -56}
-
id: 126660682
{'hecke_orbit_code': 13510798915680561, 'n': 41, 'trace_an': 23}
-
id: 126660683
{'hecke_orbit_code': 13510798915680561, 'n': 42, 'trace_an': -7}
-
id: 126660684
{'hecke_orbit_code': 13510798915680561, 'n': 43, 'trace_an': -11}
-
id: 126660685
{'hecke_orbit_code': 13510798915680561, 'n': 44, 'trace_an': 0}
-
id: 126660686
{'hecke_orbit_code': 13510798915680561, 'n': 45, 'trace_an': -14}
-
id: 126660687
{'hecke_orbit_code': 13510798915680561, 'n': 46, 'trace_an': -58}
-
id: 126660688
{'hecke_orbit_code': 13510798915680561, 'n': 47, 'trace_an': -27}
-
id: 126660689
{'hecke_orbit_code': 13510798915680561, 'n': 48, 'trace_an': -65}
-
id: 126660690
{'hecke_orbit_code': 13510798915680561, 'n': 49, 'trace_an': -21}
-
id: 126660691
{'hecke_orbit_code': 13510798915680561, 'n': 50, 'trace_an': 47}
-
id: 126660692
{'hecke_orbit_code': 13510798915680561, 'n': 51, 'trace_an': -36}
-
id: 126660693
{'hecke_orbit_code': 13510798915680561, 'n': 52, 'trace_an': -60}
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id: 126660694
{'hecke_orbit_code': 13510798915680561, 'n': 53, 'trace_an': -40}
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id: 126660695
{'hecke_orbit_code': 13510798915680561, 'n': 54, 'trace_an': -60}
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id: 126660696
{'hecke_orbit_code': 13510798915680561, 'n': 55, 'trace_an': 0}
-
id: 126660697
{'hecke_orbit_code': 13510798915680561, 'n': 56, 'trace_an': -50}
-
id: 126660698
{'hecke_orbit_code': 13510798915680561, 'n': 57, 'trace_an': -40}
-
id: 126660699
{'hecke_orbit_code': 13510798915680561, 'n': 58, 'trace_an': 3}
-
id: 126660700
{'hecke_orbit_code': 13510798915680561, 'n': 59, 'trace_an': -20}
-
id: 126660701
{'hecke_orbit_code': 13510798915680561, 'n': 60, 'trace_an': 14}
-
id: 126660702
{'hecke_orbit_code': 13510798915680561, 'n': 61, 'trace_an': 68}
-
id: 126660703
{'hecke_orbit_code': 13510798915680561, 'n': 62, 'trace_an': 62}
-
id: 126660704
{'hecke_orbit_code': 13510798915680561, 'n': 63, 'trace_an': -52}
-
id: 126660705
{'hecke_orbit_code': 13510798915680561, 'n': 64, 'trace_an': -31}
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id: 126660706
{'hecke_orbit_code': 13510798915680561, 'n': 65, 'trace_an': 13}
-
id: 126660707
{'hecke_orbit_code': 13510798915680561, 'n': 66, 'trace_an': 0}
-
id: 126660708
{'hecke_orbit_code': 13510798915680561, 'n': 67, 'trace_an': 4}
-
id: 126660709
{'hecke_orbit_code': 13510798915680561, 'n': 68, 'trace_an': 58}
-
id: 126660710
{'hecke_orbit_code': 13510798915680561, 'n': 69, 'trace_an': 1}
-
id: 126660711
{'hecke_orbit_code': 13510798915680561, 'n': 70, 'trace_an': -13}
-
id: 126660712
{'hecke_orbit_code': 13510798915680561, 'n': 71, 'trace_an': -57}
-
id: 126660713
{'hecke_orbit_code': 13510798915680561, 'n': 72, 'trace_an': -15}
-
id: 126660714
{'hecke_orbit_code': 13510798915680561, 'n': 73, 'trace_an': -26}
-
id: 126660715
{'hecke_orbit_code': 13510798915680561, 'n': 74, 'trace_an': -24}
-
id: 126660716
{'hecke_orbit_code': 13510798915680561, 'n': 75, 'trace_an': -75}
-
id: 126660717
{'hecke_orbit_code': 13510798915680561, 'n': 76, 'trace_an': -26}
-
id: 126660718
{'hecke_orbit_code': 13510798915680561, 'n': 77, 'trace_an': 0}
-
id: 126660719
{'hecke_orbit_code': 13510798915680561, 'n': 78, 'trace_an': 44}
-
id: 126660720
{'hecke_orbit_code': 13510798915680561, 'n': 79, 'trace_an': -40}
-
id: 126660721
{'hecke_orbit_code': 13510798915680561, 'n': 80, 'trace_an': -46}
-
id: 126660722
{'hecke_orbit_code': 13510798915680561, 'n': 81, 'trace_an': -45}
-
id: 126660723
{'hecke_orbit_code': 13510798915680561, 'n': 82, 'trace_an': -75}
-
id: 126660724
{'hecke_orbit_code': 13510798915680561, 'n': 83, 'trace_an': -53}
-
id: 126660725
{'hecke_orbit_code': 13510798915680561, 'n': 84, 'trace_an': 86}
-
id: 126660726
{'hecke_orbit_code': 13510798915680561, 'n': 85, 'trace_an': 1}
-
id: 126660727
{'hecke_orbit_code': 13510798915680561, 'n': 86, 'trace_an': -33}
-
id: 126660728
{'hecke_orbit_code': 13510798915680561, 'n': 87, 'trace_an': -71}
-
id: 126660729
{'hecke_orbit_code': 13510798915680561, 'n': 88, 'trace_an': 0}
-
id: 126660730
{'hecke_orbit_code': 13510798915680561, 'n': 89, 'trace_an': -73}
-
id: 126660731
{'hecke_orbit_code': 13510798915680561, 'n': 90, 'trace_an': 70}
-
id: 126660732
{'hecke_orbit_code': 13510798915680561, 'n': 91, 'trace_an': -19}
-
id: 126660733
{'hecke_orbit_code': 13510798915680561, 'n': 92, 'trace_an': 1}
-
id: 126660734
{'hecke_orbit_code': 13510798915680561, 'n': 93, 'trace_an': 27}
-
id: 126660735
{'hecke_orbit_code': 13510798915680561, 'n': 94, 'trace_an': -17}
-
id: 126660736
{'hecke_orbit_code': 13510798915680561, 'n': 95, 'trace_an': -71}
-
id: 126660737
{'hecke_orbit_code': 13510798915680561, 'n': 96, 'trace_an': 61}
-
id: 126660738
{'hecke_orbit_code': 13510798915680561, 'n': 97, 'trace_an': -51}
-
id: 126660739
{'hecke_orbit_code': 13510798915680561, 'n': 98, 'trace_an': -36}
-
id: 126660740
{'hecke_orbit_code': 13510798915680561, 'n': 99, 'trace_an': 0}
-
id: 126660741
{'hecke_orbit_code': 13510798915680561, 'n': 100, 'trace_an': -26}