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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': 3981, 'field_disc_factorization': [[3, 1], [1327, 1]], 'field_poly': [1, 2, -4, -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, [1, -2, -4, 1, 1]], [11, [3, 0, -11, -2, 1]], [17, [-89, -76, -10, 5, 1]], [19, [-139, 49, 65, 15, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364158121, '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.bi', '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.bi', 'nf_label': '4.4.3981.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+q^{3}+(\\beta _{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': 808736081845956230, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.715', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.080', 'prec': 17}, {'__RealLiteral__': 0, 'data': '36.759', 'prec': 20}, {'__RealLiteral__': 0, 'data': '10.486', 'prec': 20}, {'__RealLiteral__': 0, 'data': '564.188', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [4, -1, 4, 1, 0, -1, 4, -3, 4, 0, 2, 1, 4, -1, 0, -1, -5, -1, -15, 0, 4, -9, -8, -3, 0, -1, 4, 1, -5, 0, -15, -2, 2, -3, 0, 1, -12, 13, 4, 0, -5, -1, -11, -6, 0, 11, 4, -1, 4, 0, -5, 1, -15, -1, 0, -3, -15, 0, -11, 0, -20, 4, 4, -15, 0, -9, -2, -7, -8, 0, 20, -3, -6, -11, 0, -26, 2, -1, -7, 0, 4, 1, -2, 1, 0, -10, -5, 15, -8, 0, 4, -13, -15, -28, 0, -2, 5, -1, 2, 0, 3, -3, 7, -3, 0, -1, -14, 1, -13, 0, -12, -1, 1, 13, 0, 45, 4, -23, -5, 0, -18, 27, -5, -15, 0, -1, -10, 30, -11, 0, -3, -6, -15, -34, 0, 26, -23, 11, -26, 0, 4, -21, 2, -1, 0, 49, 4, 41, 19, 0, -25, 17, -5, -9, 0, 1, -31, 45, 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mf_hecke_nf • Show schema
Hide schema
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-13], [21, -18, -4, -4], [53, 13, 16, -1], [-39, 32, 21, 2], [0, 12, -9, -8], [16, -31, 13, 1]], 'char_orbit_index': 1, 'field_poly': [1, 2, -4, -1, 1], 'hecke_orbit_code': 153122387364158121, '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], [2, 1, 1, 0], [1, 4, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-2, -1, 1, 0], [1, -3, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '6825.2.a.bi', '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: 1320264
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '6825.2.a.bi', 'source_level': 6825, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': True, 'target_label': '6825.2.a.bi', 'target_level': 6825, 'twist_class_label': '6825.2.a.bi', 'twist_class_level': 6825, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1320265
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '6825.2.a.bi', 'source_level': 6825, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 36, 'target_is_minimal': True, 'target_label': '6825.2.a.bj', 'target_level': 6825, 'twist_class_label': '6825.2.a.bi', 'twist_class_level': 6825, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4299450
{'charpoly_factorization': [[[1, -2, -4, 1, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 2}
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id: 4299451
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 153122387364158121, 'p': 3}
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id: 4299452
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 153122387364158121, 'p': 5}
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id: 4299453
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 153122387364158121, 'p': 7}
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id: 4299454
{'charpoly_factorization': [[[3, 0, -11, -2, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 11}
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id: 4299455
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 153122387364158121, 'p': 13}
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id: 4299456
{'charpoly_factorization': [[[-89, -76, -10, 5, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 17}
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id: 4299457
{'charpoly_factorization': [[[-139, 49, 65, 15, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 19}
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id: 4299458
{'charpoly_factorization': [[[-131, -88, 2, 8, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 23}
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id: 4299459
{'charpoly_factorization': [[[1161, -144, -68, 5, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 29}
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id: 4299460
{'charpoly_factorization': [[[39, 138, 76, 15, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 31}
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id: 4299461
{'charpoly_factorization': [[[-755, -417, -20, 12, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 37}
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id: 4299462
{'charpoly_factorization': [[[195, 54, -64, 5, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 41}
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id: 4299463
{'charpoly_factorization': [[[103, -193, -3, 11, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 43}
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id: 4299464
{'charpoly_factorization': [[[181, -148, -111, -4, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 47}
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id: 4299465
{'charpoly_factorization': [[[-45, -48, 34, 15, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 53}
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id: 4299466
{'charpoly_factorization': [[[1629, -414, -62, 11, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 59}
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id: 4299467
{'charpoly_factorization': [[[-5, 107, 104, 20, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 61}
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id: 4299468
{'charpoly_factorization': [[[1725, -978, -193, 2, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 67}
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id: 4299469
{'charpoly_factorization': [[[-1231, 972, 22, -20, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 71}
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id: 4299470
{'charpoly_factorization': [[[5799, -1275, -224, 6, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 73}
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id: 4299471
{'charpoly_factorization': [[[-1667, -893, -103, 7, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 79}
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id: 4299472
{'charpoly_factorization': [[[15273, -285, -250, 2, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 83}
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id: 4299473
{'charpoly_factorization': [[[1185, -9, -124, 8, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 89}
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id: 4299474
{'charpoly_factorization': [[[2731, -572, -220, -5, 1], 1]], 'hecke_orbit_code': 153122387364158121, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '6825.2.a.bi', 'level': 6825, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 69571999
{'hecke_orbit_code': 153122387364158121, 'n': 1, 'trace_an': 4}
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id: 69572000
{'hecke_orbit_code': 153122387364158121, 'n': 2, 'trace_an': -1}
-
id: 69572001
{'hecke_orbit_code': 153122387364158121, 'n': 3, 'trace_an': 4}
-
id: 69572002
{'hecke_orbit_code': 153122387364158121, 'n': 4, 'trace_an': 1}
-
id: 69572003
{'hecke_orbit_code': 153122387364158121, 'n': 5, 'trace_an': 0}
-
id: 69572004
{'hecke_orbit_code': 153122387364158121, 'n': 6, 'trace_an': -1}
-
id: 69572005
{'hecke_orbit_code': 153122387364158121, 'n': 7, 'trace_an': 4}
-
id: 69572006
{'hecke_orbit_code': 153122387364158121, 'n': 8, 'trace_an': -3}
-
id: 69572007
{'hecke_orbit_code': 153122387364158121, 'n': 9, 'trace_an': 4}
-
id: 69572008
{'hecke_orbit_code': 153122387364158121, 'n': 10, 'trace_an': 0}
-
id: 69572009
{'hecke_orbit_code': 153122387364158121, 'n': 11, 'trace_an': 2}
-
id: 69572010
{'hecke_orbit_code': 153122387364158121, 'n': 12, 'trace_an': 1}
-
id: 69572011
{'hecke_orbit_code': 153122387364158121, 'n': 13, 'trace_an': 4}
-
id: 69572012
{'hecke_orbit_code': 153122387364158121, 'n': 14, 'trace_an': -1}
-
id: 69572013
{'hecke_orbit_code': 153122387364158121, 'n': 15, 'trace_an': 0}
-
id: 69572014
{'hecke_orbit_code': 153122387364158121, 'n': 16, 'trace_an': -1}
-
id: 69572015
{'hecke_orbit_code': 153122387364158121, 'n': 17, 'trace_an': -5}
-
id: 69572016
{'hecke_orbit_code': 153122387364158121, 'n': 18, 'trace_an': -1}
-
id: 69572017
{'hecke_orbit_code': 153122387364158121, 'n': 19, 'trace_an': -15}
-
id: 69572018
{'hecke_orbit_code': 153122387364158121, 'n': 20, 'trace_an': 0}
-
id: 69572019
{'hecke_orbit_code': 153122387364158121, 'n': 21, 'trace_an': 4}
-
id: 69572020
{'hecke_orbit_code': 153122387364158121, 'n': 22, 'trace_an': -9}
-
id: 69572021
{'hecke_orbit_code': 153122387364158121, 'n': 23, 'trace_an': -8}
-
id: 69572022
{'hecke_orbit_code': 153122387364158121, 'n': 24, 'trace_an': -3}
-
id: 69572023
{'hecke_orbit_code': 153122387364158121, 'n': 25, 'trace_an': 0}
-
id: 69572024
{'hecke_orbit_code': 153122387364158121, 'n': 26, 'trace_an': -1}
-
id: 69572025
{'hecke_orbit_code': 153122387364158121, 'n': 27, 'trace_an': 4}
-
id: 69572026
{'hecke_orbit_code': 153122387364158121, 'n': 28, 'trace_an': 1}
-
id: 69572027
{'hecke_orbit_code': 153122387364158121, 'n': 29, 'trace_an': -5}
-
id: 69572028
{'hecke_orbit_code': 153122387364158121, 'n': 30, 'trace_an': 0}
-
id: 69572029
{'hecke_orbit_code': 153122387364158121, 'n': 31, 'trace_an': -15}
-
id: 69572030
{'hecke_orbit_code': 153122387364158121, 'n': 32, 'trace_an': -2}
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