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mf_newforms • Show schema
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{'Nk2': 25920, 'analytic_conductor': 51.743060509789686, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 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': [6480, 1, [2431, 1621, 6401, 1297], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 57, 'field_disc_factorization': [[3, 1], [19, 1]], 'field_poly': [-14, -1, 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': 0, 'hecke_cutters': [[7, [-14, 1, 1]], [11, [-8, -5, 1]], [13, [-8, -5, 1]], [17, [2, 1]], [19, [1, 1]], [23, [-2, 7, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482046288, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6480.2.a.bf', 'level': 6480, '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': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '3240.2.a.h', 'nf_label': '2.2.57.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-\\beta q^{7}+(3-\\beta )q^{11}+(2+\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6480.2.a', 'trace_display': [0, 0, -2, -1], 'trace_hash': 883181041617619711, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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[-38, 19], [52, 4], [-44, -5], [-17, -9], [80, 0]], 'char_orbit_index': 1, 'field_poly': [-14, -1, 1], 'hecke_orbit_code': 139611588482046288, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '6480.2.a.bf', 'level': 6480, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [11, 13, 13, 11, 13, 11, 11, 13], 'Nk2': 25920, 'analytic_conductor': 51.743060509789686, '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': [6480, 1, [2431, 1621, 6401, 1297], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1225, 'dim': 96, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19, 23], 'hecke_orbit_code': 33560912, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '6480.2.a', 'level': 6480, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1368, 'mf_new_dim': 96, 'num_forms': 54, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2592, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -456, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -240, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1306823
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '6480.2.a.bf', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '3240.2.a.h', 'target_level': 3240, 'twist_class_label': '3240.2.a.h', 'twist_class_level': 3240, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1306824
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '6480.2.a.bf', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '3240.2.a.n', 'target_level': 3240, 'twist_class_label': '3240.2.a.h', 'twist_class_level': 3240, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1306825
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '6480.2.a.bf', 'source_level': 6480, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3240.2.q.y', 'target_level': 3240, 'twist_class_label': '3240.2.a.h', 'twist_class_level': 3240, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1306826
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '6480.2.a.bf', 'source_level': 6480, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3240.2.q.be', 'target_level': 3240, 'twist_class_label': '3240.2.a.h', 'twist_class_level': 3240, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1306827
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '6480.2.a.bf', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '6480.2.a.bf', 'target_level': 6480, 'twist_class_label': '3240.2.a.h', 'twist_class_level': 3240, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1306828
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '6480.2.a.bf', 'source_level': 6480, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '6480.2.a.bm', 'target_level': 6480, 'twist_class_label': '3240.2.a.h', 'twist_class_level': 3240, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4200300
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482046288, 'p': 2}
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id: 4200301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482046288, 'p': 3}
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id: 4200302
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482046288, 'p': 5}
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id: 4200303
{'charpoly_factorization': [[[-14, 1, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 7}
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id: 4200304
{'charpoly_factorization': [[[-8, -5, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 11}
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id: 4200305
{'charpoly_factorization': [[[-8, -5, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 13}
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id: 4200306
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 139611588482046288, 'p': 17}
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id: 4200307
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482046288, 'p': 19}
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id: 4200308
{'charpoly_factorization': [[[-2, 7, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 23}
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id: 4200309
{'charpoly_factorization': [[[-8, 5, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 29}
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id: 4200310
{'charpoly_factorization': [[[-8, 5, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 31}
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id: 4200311
{'charpoly_factorization': [[[-48, 6, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 37}
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id: 4200312
{'charpoly_factorization': [[[-57, 0, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 41}
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id: 4200313
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 139611588482046288, 'p': 43}
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id: 4200314
{'charpoly_factorization': [[[-8, -5, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 47}
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id: 4200315
{'charpoly_factorization': [[[6, 9, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 53}
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id: 4200316
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 139611588482046288, 'p': 59}
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id: 4200317
{'charpoly_factorization': [[[-56, -2, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 61}
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id: 4200318
{'charpoly_factorization': [[[-8, -14, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 67}
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id: 4200319
{'charpoly_factorization': [[[6, 9, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 71}
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id: 4200320
{'charpoly_factorization': [[[-228, 0, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 73}
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id: 4200321
{'charpoly_factorization': [[[-48, 6, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 79}
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id: 4200322
{'charpoly_factorization': [[[-32, -10, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 83}
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id: 4200323
{'charpoly_factorization': [[[-126, 3, 1], 1]], 'hecke_orbit_code': 139611588482046288, 'p': 89}
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id: 4200324
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 139611588482046288, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '6480.2.a.bf', 'level': 6480, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68854759
{'hecke_orbit_code': 139611588482046288, 'n': 1, 'trace_an': 2}
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id: 68854760
{'hecke_orbit_code': 139611588482046288, 'n': 2, 'trace_an': 0}
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id: 68854761
{'hecke_orbit_code': 139611588482046288, 'n': 3, 'trace_an': 0}
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id: 68854762
{'hecke_orbit_code': 139611588482046288, 'n': 4, 'trace_an': 0}
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id: 68854763
{'hecke_orbit_code': 139611588482046288, 'n': 5, 'trace_an': -2}
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id: 68854764
{'hecke_orbit_code': 139611588482046288, 'n': 6, 'trace_an': 0}
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id: 68854765
{'hecke_orbit_code': 139611588482046288, 'n': 7, 'trace_an': -1}
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id: 68854766
{'hecke_orbit_code': 139611588482046288, 'n': 8, 'trace_an': 0}
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id: 68854767
{'hecke_orbit_code': 139611588482046288, 'n': 9, 'trace_an': 0}
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id: 68854768
{'hecke_orbit_code': 139611588482046288, 'n': 10, 'trace_an': 0}
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id: 68854769
{'hecke_orbit_code': 139611588482046288, 'n': 11, 'trace_an': 5}
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id: 68854770
{'hecke_orbit_code': 139611588482046288, 'n': 12, 'trace_an': 0}
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id: 68854771
{'hecke_orbit_code': 139611588482046288, 'n': 13, 'trace_an': 5}
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id: 68854772
{'hecke_orbit_code': 139611588482046288, 'n': 14, 'trace_an': 0}
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id: 68854773
{'hecke_orbit_code': 139611588482046288, 'n': 15, 'trace_an': 0}
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id: 68854774
{'hecke_orbit_code': 139611588482046288, 'n': 16, 'trace_an': 0}
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