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{'Nk2': 31200, 'analytic_conductor': 62.2833135765987, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [13, -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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 41, 'field_disc_factorization': [[41, 1]], 'field_poly': [-10, -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, [-10, -1, 1]], [11, [-4, 5, 1]], [17, [-4, 5, 1]], [19, [2, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854677112, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7800.2.a.be', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1560.2.a.m', 'nf_label': '2.2.41.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+\\beta q^{7}+q^{9}+(-2-\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7800.2.a', 'trace_display': [0, 2, 0, 1], 'trace_hash': 1035412781839144260, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.957', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.407', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.414', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [2, 0, 2, 0, 0, 0, 1, 0, 2, 0, -5, 0, 2, 0, 0, 0, -5, 0, -4, 0, 1, 0, -7, 0, 0, 0, 2, 0, 6, 0, -6, 0, -5, 0, 0, 0, 7, 0, 2, 0, 15, 0, -8, 0, 0, 0, -10, 0, 7, 0, -5, 0, -15, 0, 0, 0, -4, 0, -4, 0, -1, 0, 1, 0, 0, 0, 8, 0, -7, 0, -1, 0, -14, 0, 0, 0, -23, 0, 3, 0, 2, 0, -8, 0, 0, 0, 6, 0, -3, 0, 1, 0, -6, 0, 0, 0, -17, 0, -5, 0, 12, 0, -24, 0, 0, 0, -17, 0, -4, 0, 7, 0, -26, 0, 0, 0, 2, 0, -23, 0, 11, 0, 15, 0, 0, 0, 14, 0, -8, 0, 0, 0, -2, 0, 0, 0, -36, 0, -3, 0, -10, 0, -5, 0, 0, 0, 7, 0, 9, 0, 0, 0, -5, 0, 0, 0, 8, 0, -15, 0, 17, 0, -29, 0, 0, 0, 20, 0, 2, 0, -4, 0, 4, 0, 0, 0, -4, 0, -44, 0, -9, 0, -1, 0, 0, 0, 33, 0, 1, 0, 0, 0, 25, 0, 0, 0, -10, 0, -20, 0, 8, 0, -38, 0, 0, 0, -7, 0, 10, 0, 40, 0, -1, 0, 0, 0, 38, 0, -14, 0, -5, 0, 6, 0, 0, 0, 34, 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 9, 4], [[[2, -1], [3, -1], [5, 1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, -1], [13, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, 1], [5, 1], [13, 1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, 1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [13, 1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, -1]], 7, 4], [[[2, -1], [3, -1], [5, -1], [13, 1]], 7, 2], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, 1]], 8, 6]], 'ALdims': [7, 7, 7, 7, 8, 5, 7, 9, 8, 5, 7, 9, 7, 7, 7, 7], 'Nk2': 31200, 'analytic_conductor': 62.2833135765987, '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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 114, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33562232, '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, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '7800.2.a', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1728, 'mf_new_dim': 114, 'num_forms': 53, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 114, 'sturm_bound': 3360, 'trace_bound': 17, 'trace_display': [0, 0, 0, 4], 'traces': [114, 0, 0, 0, 0, 0, 4, 0, 114, 0, 0, 0, -2, 0, 0, 0, -4, 0, -12, 0, 4, 0, -24, 0, 0, 0, 0, 0, -4, 0, 4, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 16, 0, 0, 0, 16, 0, 90, 0, 0, 0, 4, 0, 0, 0, 4, 0, 8, 0, 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0, -396, 0, 88, 0, 0, 0, -40, 0, -176, 0, -232, 0, -28, 0, 0, 0, 504, 0, 48, 0, -148, 0, 160, 0, 0, 0, -40, 0, 304, 0, -156, 0, -72, 0, 0, 0, 228, 0, 528, 0, 368, 0, -180, 0, 0, 0, -336, 0, 64, 0, -8, 0, 360, 0, 0, 0, -248, 0, -324, 0, -32, 0, 96, 0, 0, 0, 16, 0, 88, 0, 84, 0, 548, 0, 0, 0, 648, 0, 496, 0, 192, 0, 496, 0, 0, 0, 52, 0, 1248, 0, 124], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48737766
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854677112, 'source_is_minimal': False, 'source_label': '7800.2.a.be.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854677112, 'target_is_minimal': False, 'target_label': '7800.2.a.be.1.2', 'target_level': 7800, 'twist_class_label': '1560.2.a.m.1.1', 'twist_class_level': 1560, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48737767
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854677112, 'source_is_minimal': False, 'source_label': '7800.2.a.be.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001944, 'target_is_minimal': True, 'target_label': '1560.2.a.m.1.1', 'target_level': 1560, 'twist_class_label': '1560.2.a.m.1.1', 'twist_class_level': 1560, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48737768
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854677112, 'source_is_minimal': False, 'source_label': '7800.2.a.be.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972562504, 'target_is_minimal': False, 'target_label': '4680.2.a.bb.1.1', 'target_level': 4680, 'twist_class_label': '1560.2.a.m.1.1', 'twist_class_level': 1560, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48737769
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854677112, 'source_is_minimal': False, 'source_label': '7800.2.a.be.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482042928, 'target_is_minimal': False, 'target_label': '3120.2.a.bf.1.2', 'target_level': 3120, 'twist_class_label': '1560.2.a.m.1.1', 'twist_class_level': 1560, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48737770
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854677112, 'source_is_minimal': False, 'source_label': '7800.2.a.be.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 319755573576869008, 'target_is_minimal': False, 'target_label': '9360.2.a.ct.1.2', 'target_level': 9360, 'twist_class_label': '1560.2.a.m.1.1', 'twist_class_level': 1560, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4255225
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854677112, 'p': 2}
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id: 4255226
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 135107988854677112, 'p': 3}
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id: 4255227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 135107988854677112, 'p': 5}
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id: 4255228
{'charpoly_factorization': [[[-10, -1, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 7}
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id: 4255229
{'charpoly_factorization': [[[-4, 5, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 11}
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id: 4255230
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 135107988854677112, 'p': 13}
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id: 4255231
{'charpoly_factorization': [[[-4, 5, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 17}
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id: 4255232
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 135107988854677112, 'p': 19}
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id: 4255233
{'charpoly_factorization': [[[2, 7, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 23}
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id: 4255234
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 29}
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id: 4255235
{'charpoly_factorization': [[[-32, 6, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 31}
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id: 4255236
{'charpoly_factorization': [[[2, -7, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 37}
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id: 4255237
{'charpoly_factorization': [[[46, -15, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 41}
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id: 4255238
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 135107988854677112, 'p': 43}
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id: 4255239
{'charpoly_factorization': [[[-16, 10, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 47}
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id: 4255240
{'charpoly_factorization': [[[46, 15, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 53}
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id: 4255241
{'charpoly_factorization': [[[-160, 4, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 59}
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id: 4255242
{'charpoly_factorization': [[[-10, 1, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 61}
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id: 4255243
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 135107988854677112, 'p': 67}
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id: 4255244
{'charpoly_factorization': [[[-256, 1, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 71}
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id: 4255245
{'charpoly_factorization': [[[8, 14, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 73}
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id: 4255246
{'charpoly_factorization': [[[-8, -3, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 79}
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id: 4255247
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 135107988854677112, 'p': 83}
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id: 4255248
{'charpoly_factorization': [[[-90, 3, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 89}
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id: 4255249
{'charpoly_factorization': [[[-20, 17, 1], 1]], 'hecke_orbit_code': 135107988854677112, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '7800.2.a.be', 'level': 7800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 266019000
{'hecke_orbit_code': 135107988854677112, 'n': 1, 'trace_an': 2}
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id: 266019001
{'hecke_orbit_code': 135107988854677112, 'n': 2, 'trace_an': 0}
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id: 266019002
{'hecke_orbit_code': 135107988854677112, 'n': 3, 'trace_an': 2}
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id: 266019003
{'hecke_orbit_code': 135107988854677112, 'n': 4, 'trace_an': 0}
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id: 266019004
{'hecke_orbit_code': 135107988854677112, 'n': 5, 'trace_an': 0}
-
id: 266019005
{'hecke_orbit_code': 135107988854677112, 'n': 6, 'trace_an': 0}
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id: 266019006
{'hecke_orbit_code': 135107988854677112, 'n': 7, 'trace_an': 1}
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id: 266019007
{'hecke_orbit_code': 135107988854677112, 'n': 8, 'trace_an': 0}
-
id: 266019008
{'hecke_orbit_code': 135107988854677112, 'n': 9, 'trace_an': 2}
-
id: 266019009
{'hecke_orbit_code': 135107988854677112, 'n': 10, 'trace_an': 0}
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id: 266019010
{'hecke_orbit_code': 135107988854677112, 'n': 11, 'trace_an': -5}
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id: 266019011
{'hecke_orbit_code': 135107988854677112, 'n': 12, 'trace_an': 0}
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id: 266019012
{'hecke_orbit_code': 135107988854677112, 'n': 13, 'trace_an': 2}
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id: 266019013
{'hecke_orbit_code': 135107988854677112, 'n': 14, 'trace_an': 0}
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id: 266019014
{'hecke_orbit_code': 135107988854677112, 'n': 15, 'trace_an': 0}
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id: 266019015
{'hecke_orbit_code': 135107988854677112, 'n': 16, 'trace_an': 0}
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id: 266019016
{'hecke_orbit_code': 135107988854677112, 'n': 17, 'trace_an': -5}
-
id: 266019017
{'hecke_orbit_code': 135107988854677112, 'n': 18, 'trace_an': 0}
-
id: 266019018
{'hecke_orbit_code': 135107988854677112, 'n': 19, 'trace_an': -4}
-
id: 266019019
{'hecke_orbit_code': 135107988854677112, 'n': 20, 'trace_an': 0}
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id: 266019020
{'hecke_orbit_code': 135107988854677112, 'n': 21, 'trace_an': 1}
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id: 266019021
{'hecke_orbit_code': 135107988854677112, 'n': 22, 'trace_an': 0}
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id: 266019022
{'hecke_orbit_code': 135107988854677112, 'n': 23, 'trace_an': -7}
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id: 266019023
{'hecke_orbit_code': 135107988854677112, 'n': 24, 'trace_an': 0}
-
id: 266019024
{'hecke_orbit_code': 135107988854677112, 'n': 25, 'trace_an': 0}
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id: 266019025
{'hecke_orbit_code': 135107988854677112, 'n': 26, 'trace_an': 0}
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id: 266019026
{'hecke_orbit_code': 135107988854677112, 'n': 27, 'trace_an': 2}
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id: 266019027
{'hecke_orbit_code': 135107988854677112, 'n': 28, 'trace_an': 0}
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id: 266019998
{'hecke_orbit_code': 135107988854677112, 'n': 999, 'trace_an': 7}
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id: 266019999
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