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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': 12, 'hecke_orbit_code': 49541176482595600, '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.l', '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, -200, 0, 84, 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label 784.2.x.l 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: 499624
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499625
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499626
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 499627
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 499628
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499629
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499630
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 499631
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499632
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 499633
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499634
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 499635
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499636
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 499637
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499638
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 499639
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499640
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 499641
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 499642
{'conductor': 224, 'degree': 8, 'multiplicity': 2, 'order': 24, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 499643
{'conductor': 224, 'degree': 8, 'multiplicity': 2, 'order': 24, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 24, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '784.2.x.l', '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.bd', 'twisting_char_orbit': 30, 'weight': 2}
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hecke_orbit_code 49541176482595600 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 24, 'hecke_orbit': 12, 'label': '784.2.x.l', 'level': 784, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 220949000
{'hecke_orbit_code': 49541176482595600, 'n': 1, 'trace_an': 24}
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id: 220949001
{'hecke_orbit_code': 49541176482595600, 'n': 2, 'trace_an': -2}
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id: 220949002
{'hecke_orbit_code': 49541176482595600, 'n': 3, 'trace_an': -4}
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id: 220949003
{'hecke_orbit_code': 49541176482595600, 'n': 4, 'trace_an': 6}
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id: 220949004
{'hecke_orbit_code': 49541176482595600, 'n': 5, 'trace_an': -4}
-
id: 220949005
{'hecke_orbit_code': 49541176482595600, 'n': 6, 'trace_an': 8}
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id: 220949006
{'hecke_orbit_code': 49541176482595600, 'n': 7, 'trace_an': 0}
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id: 220949007
{'hecke_orbit_code': 49541176482595600, 'n': 8, 'trace_an': -8}
-
id: 220949008
{'hecke_orbit_code': 49541176482595600, 'n': 9, 'trace_an': 0}
-
id: 220949009
{'hecke_orbit_code': 49541176482595600, 'n': 10, 'trace_an': 4}
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id: 220949010
{'hecke_orbit_code': 49541176482595600, 'n': 11, 'trace_an': 0}
-
id: 220949011
{'hecke_orbit_code': 49541176482595600, 'n': 12, 'trace_an': -8}
-
id: 220949012
{'hecke_orbit_code': 49541176482595600, 'n': 13, 'trace_an': 0}
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id: 220949013
{'hecke_orbit_code': 49541176482595600, 'n': 14, 'trace_an': 0}
-
id: 220949014
{'hecke_orbit_code': 49541176482595600, 'n': 15, 'trace_an': -48}
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id: 220949015
{'hecke_orbit_code': 49541176482595600, 'n': 16, 'trace_an': -10}
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id: 220949016
{'hecke_orbit_code': 49541176482595600, 'n': 17, 'trace_an': 8}
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id: 220949017
{'hecke_orbit_code': 49541176482595600, 'n': 18, 'trace_an': 0}
-
id: 220949018
{'hecke_orbit_code': 49541176482595600, 'n': 19, 'trace_an': 0}
-
id: 220949019
{'hecke_orbit_code': 49541176482595600, 'n': 20, 'trace_an': -40}
-
id: 220949020
{'hecke_orbit_code': 49541176482595600, 'n': 21, 'trace_an': 0}
-
id: 220949021
{'hecke_orbit_code': 49541176482595600, 'n': 22, 'trace_an': 28}
-
id: 220949022
{'hecke_orbit_code': 49541176482595600, 'n': 23, 'trace_an': 0}
-
id: 220949023
{'hecke_orbit_code': 49541176482595600, 'n': 24, 'trace_an': 8}
-
id: 220949024
{'hecke_orbit_code': 49541176482595600, 'n': 25, 'trace_an': 0}
-
id: 220949025
{'hecke_orbit_code': 49541176482595600, 'n': 26, 'trace_an': 20}
-
id: 220949026
{'hecke_orbit_code': 49541176482595600, 'n': 27, 'trace_an': 8}
-
id: 220949027
{'hecke_orbit_code': 49541176482595600, 'n': 28, 'trace_an': 0}
-
id: 220949028
{'hecke_orbit_code': 49541176482595600, 'n': 29, 'trace_an': -8}
-
id: 220949029
{'hecke_orbit_code': 49541176482595600, 'n': 30, 'trace_an': 28}
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id: 220949030
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