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mf_newforms • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 112, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 12, 'char_parity': 1, 'char_values': [784, 12, [687, 197, 689], [12, 3, 8]], 'cm_discs': [], 'conrey_index': 165, 'conrey_indexes': [165, 373, 557, 765], 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4096, -12288, 18432, -36864, 44800, -2560, -28032, 68544, -80496, 288, 51872, -122368, 182160, -101520, 41248, -20848, 3052, 1720, -640, 288, -28, -24, 8, -4, 1]], [5, [5308416, 10616832, 10616832, 35389440, 31177728, -28035072, -460800, -14186496, -2129648, 6569248, -442336, 2631680, 1242704, -809680, 115392, -84656, 5772, 7160, -1056, 712, -28, -56, 8, -4, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54044776109966096, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 16, 5, 1, 4, 0], [1, 1, 112, 23, 1, 12, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '784.2.x.m', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.m.d', 'prim_orbit_index': 23, 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '784.2.x', 'trace_display': [-2, 4, 4, 0], 'traces': [24, -2, 4, 6, 4, -8, 0, -8, 0, -4, 0, 8, 0, 0, -48, -10, -8, 0, 0, 40, 0, 28, 0, -8, 0, -20, -8, 0, -8, 28, -8, -12, 0, -16, 0, -32, 20, 16, 0, -8, 0, 0, 32, -14, 40, 28, 16, -32, 0, 88, 16, -16, -4, 64, 0, 0, 0, -14, -16, -60, -20, -16, 0, -36, -32, 12, -24, -28, 8, 0, 0, -6, 0, 38, -40, -96, 0, -152, -24, 24, 44, -16, 40, 0, -16, -38, 0, 14, 0, 80, 0, 64, 48, -24, 0, -16, -96, 0, 64, 32, -56, -12, 0, 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label 784.2.x.m does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'char_conductor': 112, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 12, 'char_parity': 1, 'char_values': [784, 12, [687, 197, 689], [12, 3, 8]], 'conrey_index': 165, 'cusp_dim': 416, 'dim': 304, 'eis_dim': 64, 'eis_new_dim': 32, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 1580581520144, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 16, 16, 24, 24, 40, 48, 96], 'label': '784.2.x', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 480, 'mf_new_dim': 336, 'num_forms': 16, 'prim_orbit_index': 23, 'relative_dim': 76, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [2, 2, 2, 0], 'traces': [304, 2, 2, 6, 2, 8, 0, -4, 0, -4, 10, 2, 8, 0, -32, -18, 4, -44, 2, -8, 0, 16, 0, -18, 0, 2, 20, 0, -48, -34, -20, -8, 4, 32, 0, 80, 18, -18, 0, -50, 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-132, 0, 0, 468, -502, 266, 400, 112, 104, 0, -336, 50, -16, -184, -68, 0, 0, 0, 588, -150, -340, 4, 80, 0, -648, 92, 262, -480, -48, 84, 0, 0, -242, 0, -514, 118, 8, 0, -240, -840, 76, 4, 140, -620, 0, -352, -40, 0, -12, 0, 12, 0, 0, -140, 102, 188, 0, -176, 0, -908, 132, 82, -46, 0, 348], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 499644
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '112.2.m.d', 'target_level': 112, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499645
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '112.2.m.d', 'target_level': 112, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499646
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.m.d', 'target_level': 448, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 499647
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.m.d', 'target_level': 448, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 499648
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.m.h', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499649
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.m.h', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499650
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 499651
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499652
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 499653
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499654
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 499655
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499656
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 499657
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499658
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '896.2.m.g', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 499659
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '896.2.m.g', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499660
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '896.2.m.h', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 499661
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '896.2.m.h', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 499662
{'conductor': 224, 'degree': 8, 'multiplicity': 2, 'order': 24, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7168.2.a.bi', 'target_level': 7168, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '224.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 499663
{'conductor': 224, 'degree': 8, 'multiplicity': 2, 'order': 24, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '784.2.x.m', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7168.2.a.bj', 'target_level': 7168, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '224.bc', 'twisting_char_orbit': 29, 'weight': 2}
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hecke_orbit_code 54044776109966096 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 24, 'hecke_orbit': 13, 'label': '784.2.x.m', 'level': 784, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 225721000
{'hecke_orbit_code': 54044776109966096, 'n': 1, 'trace_an': 24}
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id: 225721001
{'hecke_orbit_code': 54044776109966096, 'n': 2, 'trace_an': -2}
-
id: 225721002
{'hecke_orbit_code': 54044776109966096, 'n': 3, 'trace_an': 4}
-
id: 225721003
{'hecke_orbit_code': 54044776109966096, 'n': 4, 'trace_an': 6}
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id: 225721004
{'hecke_orbit_code': 54044776109966096, 'n': 5, 'trace_an': 4}
-
id: 225721005
{'hecke_orbit_code': 54044776109966096, 'n': 6, 'trace_an': -8}
-
id: 225721006
{'hecke_orbit_code': 54044776109966096, 'n': 7, 'trace_an': 0}
-
id: 225721007
{'hecke_orbit_code': 54044776109966096, 'n': 8, 'trace_an': -8}
-
id: 225721008
{'hecke_orbit_code': 54044776109966096, 'n': 9, 'trace_an': 0}
-
id: 225721009
{'hecke_orbit_code': 54044776109966096, 'n': 10, 'trace_an': -4}
-
id: 225721010
{'hecke_orbit_code': 54044776109966096, 'n': 11, 'trace_an': 0}
-
id: 225721011
{'hecke_orbit_code': 54044776109966096, 'n': 12, 'trace_an': 8}
-
id: 225721012
{'hecke_orbit_code': 54044776109966096, 'n': 13, 'trace_an': 0}
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id: 225721013
{'hecke_orbit_code': 54044776109966096, 'n': 14, 'trace_an': 0}
-
id: 225721014
{'hecke_orbit_code': 54044776109966096, 'n': 15, 'trace_an': -48}
-
id: 225721015
{'hecke_orbit_code': 54044776109966096, 'n': 16, 'trace_an': -10}
-
id: 225721016
{'hecke_orbit_code': 54044776109966096, 'n': 17, 'trace_an': -8}
-
id: 225721017
{'hecke_orbit_code': 54044776109966096, 'n': 18, 'trace_an': 0}
-
id: 225721018
{'hecke_orbit_code': 54044776109966096, 'n': 19, 'trace_an': 0}
-
id: 225721019
{'hecke_orbit_code': 54044776109966096, 'n': 20, 'trace_an': 40}
-
id: 225721020
{'hecke_orbit_code': 54044776109966096, 'n': 21, 'trace_an': 0}
-
id: 225721021
{'hecke_orbit_code': 54044776109966096, 'n': 22, 'trace_an': 28}
-
id: 225721022
{'hecke_orbit_code': 54044776109966096, 'n': 23, 'trace_an': 0}
-
id: 225721023
{'hecke_orbit_code': 54044776109966096, 'n': 24, 'trace_an': -8}
-
id: 225721024
{'hecke_orbit_code': 54044776109966096, 'n': 25, 'trace_an': 0}
-
id: 225721025
{'hecke_orbit_code': 54044776109966096, 'n': 26, 'trace_an': -20}
-
id: 225721026
{'hecke_orbit_code': 54044776109966096, 'n': 27, 'trace_an': -8}
-
id: 225721027
{'hecke_orbit_code': 54044776109966096, 'n': 28, 'trace_an': 0}
-
id: 225721028
{'hecke_orbit_code': 54044776109966096, 'n': 29, 'trace_an': -8}
-
id: 225721029
{'hecke_orbit_code': 54044776109966096, 'n': 30, 'trace_an': 28}
-
id: 225721030
{'hecke_orbit_code': 54044776109966096, 'n': 31, 'trace_an': -8}
-
id: 225721031
{'hecke_orbit_code': 54044776109966096, 'n': 32, 'trace_an': -12}
-
id: 225721032
{'hecke_orbit_code': 54044776109966096, 'n': 33, 'trace_an': 0}
-
id: 225721033
{'hecke_orbit_code': 54044776109966096, 'n': 34, 'trace_an': -16}
-
id: 225721034
{'hecke_orbit_code': 54044776109966096, 'n': 35, 'trace_an': 0}
-
id: 225721035
{'hecke_orbit_code': 54044776109966096, 'n': 36, 'trace_an': -32}
-
id: 225721036
{'hecke_orbit_code': 54044776109966096, 'n': 37, 'trace_an': 20}
-
id: 225721037
{'hecke_orbit_code': 54044776109966096, 'n': 38, 'trace_an': 16}
-
id: 225721038
{'hecke_orbit_code': 54044776109966096, 'n': 39, 'trace_an': 0}
-
id: 225721039
{'hecke_orbit_code': 54044776109966096, 'n': 40, 'trace_an': -8}
-
id: 225721040
{'hecke_orbit_code': 54044776109966096, 'n': 41, 'trace_an': 0}
-
id: 225721041
{'hecke_orbit_code': 54044776109966096, 'n': 42, 'trace_an': 0}
-
id: 225721042
{'hecke_orbit_code': 54044776109966096, 'n': 43, 'trace_an': 32}
-
id: 225721043
{'hecke_orbit_code': 54044776109966096, 'n': 44, 'trace_an': -14}
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