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{'Nk2': 27300, 'analytic_conductor': 54.497899379523865, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [7, 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': [6825, 1, [2276, 3277, 976, 4201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 14013, 'field_disc_factorization': [[3, 4], [173, 1]], 'field_poly': [3, 6, -6, -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': [[2, [3, 6, -6, -1, 1]], [11, [269, -38, -33, 2, 1]], [17, [-21, 50, -30, 3, 1]], [19, [7, 55, 51, 13, 1]]], 'hecke_orbit': 38, 'hecke_orbit_code': 166633186246269609, 'hecke_ring_generator_nbound': 2, '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': True, 'label': '6825.2.a.bl', 'level': 6825, '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': [3, 5, 7, 13], 'level_radical': 1365, 'minimal_twist': '6825.2.a.bf', 'nf_label': '4.4.14013.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6825.2.a', 'trace_display': [1, 4, 0, -4], 'trace_hash': 1313492388073099157, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.731', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.196', 'prec': 17}, {'__RealLiteral__': 0, 'data': '38.872', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.783', 'prec': 17}, {'__RealLiteral__': 0, 'data': '634.041', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [4, 1, 4, 5, 0, 1, -4, -3, 4, 0, -2, 5, -4, -1, 0, -1, -3, 1, -13, 0, -4, 7, 2, -3, 0, -1, 4, -5, 7, 0, -19, -10, -2, -9, 0, 5, -2, -13, -4, 0, -11, -1, 17, -34, 0, -19, -10, -1, 4, 0, -3, -5, 15, 1, 0, 3, -13, -8, -1, 0, 8, 26, -4, -23, 0, 7, 6, 3, 2, 0, -14, -3, -24, -17, 0, -8, 2, -1, -19, 0, 4, -17, -16, -5, 0, 14, 7, 3, -36, 0, 4, 19, -19, -4, 0, -10, -29, 1, -2, 0, -19, -9, -1, 3, 0, -21, 12, 5, 5, 0, -2, 1, 15, -13, 0, 17, -4, 23, 3, 0, 26, -25, -11, 1, 0, -1, 26, 30, 17, 0, -19, -34, 13, -30, 0, 24, 29, -19, -12, 0, -10, -65, 2, -1, 0, -39, 4, -31, -19, 0, -25, -15, -3, -7, 0, -5, 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mf_hecke_nf • Show schema
Hide schema
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-7, 7, -18], [10, -18, 8, -9]], 'char_orbit_index': 1, 'field_poly': [3, 6, -6, -1, 1], 'hecke_orbit_code': 166633186246269609, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 0, 1, 0], [-1, 5, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, 0, 1, 0], [1, -5, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '6825.2.a.bl', 'level': 6825, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [13, 12, 16, 13, 12, 18, 14, 16, 13, 10, 12, 19, 16, 18, 18, 8], 'Nk2': 27300, 'analytic_conductor': 54.497899379523865, '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': [6825, 1, [2276, 3277, 976, 4201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1097, 'dim': 228, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 17, 19], 'hecke_orbit_code': 33561257, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 12, 12], 'label': '6825.2.a', 'level': 6825, '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': [3, 5, 7, 13], 'level_radical': 1365, 'mf_dim': 1144, 'mf_new_dim': 228, 'num_forms': 57, 'plus_dim': 104, 'prim_orbit_index': 1, 'relative_dim': 228, 'sturm_bound': 2240, 'trace_bound': 17, 'trace_display': [4, 0, 0, 4], 'traces': [228, 4, 0, 224, 0, -8, 4, 12, 228, 0, 8, -8, 0, 4, 0, 208, 8, 4, -8, 0, -4, -8, 12, -24, 0, 0, 0, 12, 20, 0, -8, 28, 8, -16, 0, 224, 32, -40, -8, 0, 24, 0, 4, 16, 0, 32, -16, -16, 228, 0, -8, -8, 36, -8, 0, 60, -16, -24, 24, 0, -16, 24, 4, 256, 0, 8, 32, 0, -24, 0, 0, 12, 40, 80, 0, -16, 16, 4, -28, 0, 228, -72, 32, -12, 0, -56, 24, -24, -48, 0, -8, -16, -16, 48, 0, 64, -8, 4, 8, 0, -32, 16, 16, 24, 0, 104, -40, -8, -48, 0, -16, 28, -20, 112, 0, 160, 0, 72, -8, 0, 244, 0, 32, 160, 0, 4, 0, 116, -16, 0, -40, 32, -20, 24, 0, 48, 8, 32, -32, 0, -32, -8, 8, 208, 0, 72, 0, 112, 48, 0, -80, 0, 8, 40, 0, -16, 40, -24, 24, 0, 32, 4, 8, -64, 0, 0, -128, 0, 228, 0, -8, 168, 0, 64, 0, 56, -8, 32, 92, 0, -64, 0, 0, 120, 0, 0, -160, -16, -4, 0, -8, 8, -16, -88, 0, 224, 48, -8, -40, 0, 16, 64, -24, 104, 0, -264, 12, -16, -128, 0, 84, -8, 24, -72, 0, -24, -4, 88, -80, 0, -16, -112, -24, 164, 0, 112, -120, 16, 32, 0, 8, 24, 4, 0, 0, -32, 32, 24, -8, 0, -88, -52, 0, 240, 0, 144, 28, 32, -80, 0, -144, 12, 40, 96, 0, 368, 96, -32, -8, 0, 20, 0, 68, 216, 0, -16, 24, 112, 104, 0, -16, 128, 4, 120, 0, -16, 76, 72, -8, 0, -8, 160, -16, 240, 0, 120, -40, 28, 124, 0, -64, 48, 96, -8, 0, -56, 8, 40, -16, 0, -16, 0, 40, 160, 0, -16, -72, 40, 16, 0, -24, 12, 80, -104, 0, 0, 144, -16, -88, 0, -48, 56, -88, 224, 0, -208, -48, -184, -28, 0, -136, -48, 32, 48, 0, 4, -4, 4, -56, 0, -128, -40, 4, -176, 0, -320, -232, 48, -40, 0, -8, -56, -56, 32, 0, -192, 8, 88, -40, 0, 80, 104, -32, -20, 0, 104, -72, -168, 24, 0, 88, 16, 72, -288, 0, 184, -32, 0, 120, 0, -16, 40, -152, 64, 0, -80, 4, -144, -104, 0, 168, 12, -16, 112, 0, 16, 8, -272, -16, 0, -144, 16, 28, -464, 0, 56, -48, -16, -232, 0, 232, 144, -32, 32, 0, -32, 32, -112, -80, 0, -24, -200, -16, 72, 0, 24, 32, -88, -16, 0, 72, -16, -56, -32, 0, -24, -88, -72, 256, 0, 228, 48, 76, -48, 0, -312, -72, 60, 64, 0, -224, 152, 64, -248, 0, 192, 24, -128, -8, 0, -24, 0, -32, 152, 0, -96, 40, -8, 8, 0, -80, 72, -136, 8, 0, -16, 36, -120, -96, 0, 32, 264, 16, 248, 0, -8, -8, -224, -16, 0, 104, 152, 232, 48, 0, 112, 0, 128, 40, 0, 0, 176, 16, 60, 0, -280, 0, -128, -16, 0, -20, 452, -16, 0, 0, 96, -160, 120, 264, 0, -96, -24, 128, -480, 0, -48, -136, 232, 320, 0, 24, -8, -40, 96, 0, 48, -72, 0, 8, 0, 32, -176, -32, -144, 0, -12, -164, -48, -16, 0, -24, 64, 80, -504, 0, -112, -184, 24, 0, 0, 32, -248, -40, -64, 0, -80, 4, -216, -92, 0, 228, 32, -48, 128, 0, 256, -96, -4, -48, 0, 4, -104, 56, 0, 0, -320, -32, -8, 140, 0, -40, 176, 32, 8, 0, -168, -16, -8, -36, 0, 40, -72, 32, -296, 0, -16, 96, -240, -32, 0, 92, 0, -104, -424, 0, 144, 80, 120, 80, 0, -24, -160, -12, 88, 0, -96, 64, 496, -176, 0, 56, -120, 16, -64, 0, -160, 0, -96, 0, 0, -132, -208, -128, 200, 0, -64, -56, 12, -272, 0, 0, 144, -8, 48, 0, -264, 40, -120, 228, 0, -120, 224, -16, -232, 0, 80, -164, -240, 96, 0, -176, 40, 76, -304, 0, 224, 200, -16, 92, 0, -136, -16, 208, -16, 0, 4, 80, 368, -16, 0, -200, 480, 16, 80, 0, -96, -96, -8, 344, 0, 76, 4, -48, 104, 0, -328, 40, -96, 168, 0, -28, 8, 56, 8, 0, -224, -24, -72, -392, 0, 32, -108, 112, -400, 0, -144, 24, 0, 228, 0, -392, -176, 120, -168, 0, 480, -368, -72, -56, 0, 16, -48, 8, 160, 0, 88, 32, -272, 240, 0, 116, -216, 32, -72, 0, -12, 28, -240, 16, 0, -48, 8, -16, -472, 0, -376, -56, 208, -40, 0, 8, -112, 8, -56, 0, -128, -40, -40, -24, 0, 432, 112, 24, 208, 0, -128, 360, -320, -40, 0, -72, -24, -40, -504, 0, -192, 104, -48, -168, 0, -48, 152, -240, -128, 0, -16, 24, 256, -196, 0, -48, 40, 32, -88, 0, 232, -56, -152, -8, 0, 136, -200, 128, -840, 0, -120, -184, -16, -312, 0, 32, 8, 8, -296, 0, -192, -16, -80, -168, 0, 248, 296, 8, 168, 0, 48, 100, 48, 128, 0, -256, -48, 40, -64, 0, -104, -272, 8, 312, 0, 8, -328, -368, 64, 0, -608, 0, -104, -24, 0, -8, 312, -8, -568, 0, -240, -72, 24, 8, 0, -136, 4, -80, -24, 0, -440, -200, -16, -80, 0, 8, -192, -76, 88, 0, 220, 32, 72, -344, 0, -424, 168, 48, -8, 0, -48, 4, -512, -32, 0, -268, -96, -64, -720, 0, -160, -88, 16, -272, 0, 0, -120, 72, -48, 0, -176, 16, -216, 16, 0, -8, 184, 32, 288, 0, 24, 160, 80, -48, 0, 272, 0, -304, 408, 0, 616, 192, 0, 52, 0, 360, -24, -4, 104, 0, 840, -80, 176, 24, 0, 0, -96, -40, 464, 0, 120, 8, -12, -304, 0, 192, -8, -8, 936, 0, 192, -192, 48, 0, 0, -48, -328, 208, 32, 0, 448, -24, -56, 492, 0, 176, -48, 128, -8, 0, -224, -32, -128, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1320270
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 38, 'source_is_minimal': True, 'source_label': '6825.2.a.bl', 'source_level': 6825, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 32, 'target_is_minimal': True, 'target_label': '6825.2.a.bf', 'target_level': 6825, 'twist_class_label': '6825.2.a.bf', 'twist_class_level': 6825, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1320271
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 38, 'source_is_minimal': True, 'source_label': '6825.2.a.bl', 'source_level': 6825, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 38, 'target_is_minimal': True, 'target_label': '6825.2.a.bl', 'target_level': 6825, 'twist_class_label': '6825.2.a.bf', 'twist_class_level': 6825, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4299525
{'charpoly_factorization': [[[3, 6, -6, -1, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 2}
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id: 4299526
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 166633186246269609, 'p': 3}
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id: 4299527
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 166633186246269609, 'p': 5}
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id: 4299528
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 166633186246269609, 'p': 7}
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id: 4299529
{'charpoly_factorization': [[[269, -38, -33, 2, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 11}
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id: 4299530
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 166633186246269609, 'p': 13}
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id: 4299531
{'charpoly_factorization': [[[-21, 50, -30, 3, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 17}
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id: 4299532
{'charpoly_factorization': [[[7, 55, 51, 13, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 19}
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id: 4299533
{'charpoly_factorization': [[[511, 34, -48, -2, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 23}
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id: 4299534
{'charpoly_factorization': [[[7, 20, 6, -7, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 29}
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id: 4299535
{'charpoly_factorization': [[[-2443, -484, 66, 19, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 31}
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id: 4299536
{'charpoly_factorization': [[[-199, -245, -66, 2, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 37}
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id: 4299537
{'charpoly_factorization': [[[-3093, -1056, -60, 11, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 41}
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id: 4299538
{'charpoly_factorization': [[[347, 335, 33, -17, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 43}
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id: 4299539
{'charpoly_factorization': [[[1, -38, -21, 10, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 47}
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id: 4299540
{'charpoly_factorization': [[[-27, 18, 36, -15, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 53}
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id: 4299541
{'charpoly_factorization': [[[309, -672, -150, 1, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 59}
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id: 4299542
{'charpoly_factorization': [[[-3087, 1323, -126, -8, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 61}
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id: 4299543
{'charpoly_factorization': [[[6573, 1034, -213, -6, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 67}
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id: 4299544
{'charpoly_factorization': [[[-1897, -1406, -120, 14, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 71}
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id: 4299545
{'charpoly_factorization': [[[9, 327, 162, 24, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 73}
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id: 4299546
{'charpoly_factorization': [[[-211, -313, 57, 19, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 79}
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id: 4299547
{'charpoly_factorization': [[[81, -81, -18, 16, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 83}
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id: 4299548
{'charpoly_factorization': [[[2841, 1925, 426, 36, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 89}
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id: 4299549
{'charpoly_factorization': [[[-251, 422, 240, 29, 1], 1]], 'hecke_orbit_code': 166633186246269609, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 38, 'label': '6825.2.a.bl', 'level': 6825, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70142695
{'hecke_orbit_code': 166633186246269609, 'n': 1, 'trace_an': 4}
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id: 70142696
{'hecke_orbit_code': 166633186246269609, 'n': 2, 'trace_an': 1}
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id: 70142697
{'hecke_orbit_code': 166633186246269609, 'n': 3, 'trace_an': 4}
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id: 70142698
{'hecke_orbit_code': 166633186246269609, 'n': 4, 'trace_an': 5}
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id: 70142699
{'hecke_orbit_code': 166633186246269609, 'n': 5, 'trace_an': 0}
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id: 70142700
{'hecke_orbit_code': 166633186246269609, 'n': 6, 'trace_an': 1}
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id: 70142701
{'hecke_orbit_code': 166633186246269609, 'n': 7, 'trace_an': -4}
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id: 70142702
{'hecke_orbit_code': 166633186246269609, 'n': 8, 'trace_an': -3}
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id: 70142703
{'hecke_orbit_code': 166633186246269609, 'n': 9, 'trace_an': 4}
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id: 70142704
{'hecke_orbit_code': 166633186246269609, 'n': 10, 'trace_an': 0}
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id: 70142705
{'hecke_orbit_code': 166633186246269609, 'n': 11, 'trace_an': -2}
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id: 70142706
{'hecke_orbit_code': 166633186246269609, 'n': 12, 'trace_an': 5}
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id: 70142707
{'hecke_orbit_code': 166633186246269609, 'n': 13, 'trace_an': -4}
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id: 70142708
{'hecke_orbit_code': 166633186246269609, 'n': 14, 'trace_an': -1}
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id: 70142709
{'hecke_orbit_code': 166633186246269609, 'n': 15, 'trace_an': 0}
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id: 70142710
{'hecke_orbit_code': 166633186246269609, 'n': 16, 'trace_an': -1}
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id: 70142711
{'hecke_orbit_code': 166633186246269609, 'n': 17, 'trace_an': -3}
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id: 70142712
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