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mf_newforms • Show schema
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{'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [3822, 2, [2549, 3433, 1471], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 883, 'dim': 6, 'field_disc': -3356224, 'field_disc_factorization': [[-1, 1], [2, 6], [229, 2]], 'field_poly': [1, 0, 16, 0, 8, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 33, 0, 14, 0, 1]], [11, [16, 0, 105, 0, 26, 0, 1]], [17, [-26, -7, 4, 1]], [19, [1024, 0, 833, 0, 66, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028934491475694, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_nf • Show schema
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'hecke_ring_character_values': [[2549, [1, 0, 0, 0, 0, 0]], [3433, [1, 0, 0, 0, 0, 0]], [1471, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 1], [-6, 0, 1, 1, 0, 0], [0, 1, 0, 0, 2, -2], [24, 0, -5, -3, 0, 0], [0, -14, 0, 0, -15, 17]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 4, 0, 1, 0, 0], [3, 0, -3, 0, -1, 0], [3, 0, 5, 0, 1, 0], [0, 11, 0, 7, 0, 1], [0, 13, 0, 7, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '3822.2.c.i', 'level': 3822, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [3822, 2, [2549, 3433, 1471], [2, 2, 1]], 'conrey_index': 883, 'cusp_dim': 752, 'dim': 98, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 19], 'hecke_orbit_code': 137472511726, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 10, 10, 16, 16], 'label': '3822.2.c', 'level': 3822, '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, 7, 13], 'level_radical': 546, 'mf_dim': 816, 'mf_new_dim': 98, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 98, 'sturm_bound': 1568, 'trace_bound': 13, 'trace_display': [0, -2, 0, 0], 'traces': [98, 0, -2, -98, 0, 0, 0, 0, 98, 4, 0, 2, -10, 0, 0, 98, -12, 0, 0, 0, 0, 8, -8, 0, -126, -4, -2, 0, 4, -4, 0, 0, 0, 0, 0, -98, 0, 4, -14, -4, 0, 0, -56, 0, 0, 0, 0, -2, 0, 0, -4, 10, 60, 0, 64, 0, 0, 0, 0, 0, -20, 20, 0, -98, 72, -16, 0, 12, 8, 0, 0, 0, 0, -48, -2, 0, 0, -4, 48, 0, 98, 28, 0, 0, 0, 0, 28, -8, 0, 4, 0, 8, 0, -16, -72, 0, 0, 0, 0, 126, -20, 0, 72, 4, 0, 0, -16, 2, 0, 0, 0, 0, -140, -20, 0, -4, -10, 40, 0, 4, -146, 0, 0, 0, 0, 0, 48, 0, -24, 76, 16, 0, 0, 12, 0, 0, 0, 0, -8, 0, 0, -8, 16, 98, 0, -24, 0, 0, 0, 0, 0, -4, -12, 0, -24, 14, -28, 0, 4, 4, 0, 0, 0, 0, 16, -40, 0, 0, -46, -24, 0, 56, 108, 0, 0, 0, 0, -68, 64, 0, -12, 0, -60, 0, 128, -4, 0, 0, 0, 0, -56, 2, 0, 24, 24, 0, 0, 8, 40, 0, 0, 0, 0, 4, 184, 0, -8, -10, 16, 0, 136, -60, 0, 0, 0, 0, 0, -40, 0, -64, 12, -40, 0, 0, -126, 0, 0, 0, 0, -64, 0, 0, -4, -4, -144, 0, 64, 0, 0, 0, 0, 0, -2, 20, 0, 28, 56, -20, 0, -24, 8, 0, 0, 0, 0, 98, -20, 0, 0, -72, 4, 0, 16, 16, 0, 0, 0, 0, -28, -4, 0, -12, 0, 100, 0, -8, -236, 0, 0, 0, 0, 40, 88, 0, 8, 80, 0, 0, 46, -72, 0, 0, 0, 0, -64, 48, 0, -44, 72, 2, 0, 20, -12, 0, 0, 0, 0, 0, 32, 0, -24, 4, 60, 0, 0, -48, 0, 0, 0, 0, -72, 0, 0, -98, -10, -28, 0, -28, 0, 0, 0, 0, 0, -16, -88, 0, 100, 32, 20, 0, -96, 4, 0, 0, 0, 0, 120, -28, 0, 0, -14, 8, 0, 56, 144, 0, 0, 0, 0, -4, -282, 0, -22, 0, 80, 0, -8, -8, 0, 0, 0, 0, -20, -48, 0, 16, -92, 0, 0, 72, 80, 0, 0, 0, 0, 16, -56, 0, -124, -12, -176, 0, 64, 12, 0, 0, 0, 0, 0, -126, 0, -44, 32, 20, 0, 0, 144, 0, 0, 0, 0, -72, 0, 0, -16, -4, 24, 0, -16, 0, 0, 0, 0, 0, -188, 16, 0, 16, -8, 0, 0, -2, 60, 0, 0, 0, 0, -56, -40, 0, 0, 96, 32, 0, -88, 20, 0, 0, 0, 0, 96, 140, 0, 64, 0, 20, 0, 8, -4, 0, 0, 0, 0, 4, 120, 0, 120, 10, 0, 0, -68, -40, 0, 0, 0, 0, 60, -72, 0, -4, -72, 136, 0, 146, 0, 0, 0, 0, 0, 0, -136, 0, -24, -76, 64, 0, 0, -8, 0, 0, 0, 0, 64, 0, 0, 320, -10, -48, 0, 8, 0, 0, 0, 0, 0, 24, -160, 0, 100, -76, -28, 0, 24, -16, 0, 0, 0, 0, -238, -40, 0, 0, 208, 44, 0, -12, 24, 0, 0, 0, 0, -4, 60, 0, 48, 0, 184, 0, -20, -40, 0, 0, 0, 0, -16, 8, 0, 20, 24, 0, 0, -12, -176, 0, 0, 0, 0, 8, -276, 0, 424, -16, -88, 0, -264, -98, 0, 0, 0, 0, 0, -88, 0, 24, 72, -44, 0, 0, -104, 0, 0, 0, 0, -16, 0, 0, -80, -16, 368, 0, 124, 0, 0, 0, 0, 0, -24, 4, 0, -40, 0, 12, 0, 188, -8, 0, 0, 0, 0, 24, 8, 0, 0, -14, -22, 0, 352, 28, 0, 0, 0, 0, 8, -212, 0, -4, 0, -264, 0, -4, 188, 0, 0, 0, 0, -16, -208, 0, -80, 28, 0, 0, 28, 48, 0, 0, 0, 0, -24, -16, 0, 292, -76, 40, 0, -48, -320, 0, 0, 0, 0, 0, -12, 0, -2, 46, -148, 0, 0, 24, 0, 0, 0, 0, 24, 0, 0, -56, 108, 80, 0, -108, 0, 0, 0, 0, 0, -96, -68, 0, 60, -4, -128, 0, 0, -84, 0, 0, 0, 0, 48, 68, 0, 0, 40, -64, 0, -104, -152, 0, 0, 0, 0, 12, 36, 0, -56, 0, 98, 0, 128, 60, 0, 0, 0, 0, -808, 28, 0, -128, 24, 0, 0, 4, 184, 0, 0, 0, 0, 24, -64, 0, 136, -32, 88, 0, 300, 156, 0, 0, 0, 0, 0, 56, 0, 32, 8, -2, 0, 0, -220, 0, 0, 0, 0, -24, 0, 0, 216, -24, -344, 0, 28, 0, 0, 0, 0, 0, -48, 144, 0, -8, 4, 48, 0, -40, 4, 0, 0, 0, 0, -68, -16, 0, 0, -140, -260, 0, 308, 4, 0, 0, 0, 0, -72, -4, 0, -24, 0, -184, 0, -68, -144, 0, 0, 0, 0, 8, 76, 0, -92, 10, 0, 0, 224, -16, 0, 0, 0, 0, 150, -232, 0, -136, 48, -16, 0, 60, -168, 0, 0, 0, 0, 0, -72, 0, 332, -24, 72, 0, 0, 24, 0, 0, 0, 0, 58, 0, 0, -40, 0, 40, 0, -32, 0, 0, 0, 0, 0, 64, -36, 0, 312, -12, -144, 0, -40, 40, 0, 0, 0, 0, -24, -68, 0, 0, 216, -132, 0, 126, -72, 0, 0, 0, 0, -12, -344, 0, -20, 0, -152, 0, -64, 72, 0, 0, 0, 0, 368, 64, 0, 20, -80, 0, 0, -76, 72, 0, 0, 0, 0, 4, 152, 0, -240, 4, 108, 0, -148, 144, 0, 0, 0, 0, 0, -128, 0, -64, 248, 84, 0, 0, 204, 0, 0, 0, 0, -168, 0, 0, -122, 112, -16, 0, -128, 0, 0, 0, 0, 0, 56, 2, 0, 212, 122, -20, 0, -116, 144, 0, 0, 0, 0, -28, -72, 0, 0, -56, 384, 0, -256, 20, 0, 0, 0, 0, 132, 164, 0, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1155262
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3822.2.c.i', 'source_level': 3822, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3822.2.c.i', 'target_level': 3822, 'twist_class_label': '3822.2.c.i', 'twist_class_level': 3822, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1155263
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3822.2.c.i', 'source_level': 3822, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3822.2.c.i', 'target_level': 3822, 'twist_class_label': '3822.2.c.i', 'twist_class_level': 3822, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155264
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3822.2.c.i', 'source_level': 3822, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '3822.2.c.l', 'target_level': 3822, 'twist_class_label': '3822.2.c.i', 'twist_class_level': 3822, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155265
{'conductor': 91, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3822.2.c.i', 'source_level': 3822, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '3822.2.c.l', 'target_level': 3822, 'twist_class_label': '3822.2.c.i', 'twist_class_level': 3822, 'twisting_char_label': '91.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3379400
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 36028934491475694, 'p': 2}
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id: 3379401
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 36028934491475694, 'p': 3}
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id: 3379402
{'charpoly_factorization': [[[4, 0, 33, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 5}
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id: 3379403
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 36028934491475694, 'p': 7}
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id: 3379404
{'charpoly_factorization': [[[16, 0, 105, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 11}
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id: 3379405
{'charpoly_factorization': [[[2197, 676, 247, 88, 19, 4, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 13}
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id: 3379406
{'charpoly_factorization': [[[-26, -7, 4, 1], 2]], 'hecke_orbit_code': 36028934491475694, 'p': 17}
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id: 3379407
{'charpoly_factorization': [[[1024, 0, 833, 0, 66, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 19}
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id: 3379408
{'charpoly_factorization': [[[14, 27, 10, 1], 2]], 'hecke_orbit_code': 36028934491475694, 'p': 23}
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id: 3379409
{'charpoly_factorization': [[[98, -49, 2, 1], 2]], 'hecke_orbit_code': 36028934491475694, 'p': 29}
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id: 3379410
{'charpoly_factorization': [[[4096, 0, 1040, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 31}
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id: 3379411
{'charpoly_factorization': [[[64, 0, 65, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 37}
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id: 3379412
{'charpoly_factorization': [[[1024, 0, 2496, 0, 116, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 41}
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id: 3379413
{'charpoly_factorization': [[[-232, -123, -2, 1], 2]], 'hecke_orbit_code': 36028934491475694, 'p': 43}
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id: 3379414
{'charpoly_factorization': [[[1024, 0, 896, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 47}
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id: 3379415
{'charpoly_factorization': [[[-184, -52, 6, 1], 2]], 'hecke_orbit_code': 36028934491475694, 'p': 53}
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id: 3379416
{'charpoly_factorization': [[[1024, 0, 704, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 59}
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id: 3379417
{'charpoly_factorization': [[[-16, -29, -8, 1], 2]], 'hecke_orbit_code': 36028934491475694, 'p': 61}
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id: 3379418
{'charpoly_factorization': [[[719104, 0, 29584, 0, 344, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 67}
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id: 3379419
{'charpoly_factorization': [[[65536, 0, 6400, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 71}
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id: 3379420
{'charpoly_factorization': [[[51076, 0, 5601, 0, 158, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 73}
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id: 3379421
{'charpoly_factorization': [[[208, -28, -8, 1], 2]], 'hecke_orbit_code': 36028934491475694, 'p': 79}
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id: 3379422
{'charpoly_factorization': [[[33856, 0, 4912, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 83}
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id: 3379423
{'charpoly_factorization': [[[33856, 0, 4912, 0, 140, 0, 1], 1]], 'hecke_orbit_code': 36028934491475694, 'p': 89}
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id: 3379424
{'charpoly_factorization': [[[4, 0, 1], 3]], 'hecke_orbit_code': 36028934491475694, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 9, 'label': '3822.2.c.i', 'level': 3822, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 51955759
{'hecke_orbit_code': 36028934491475694, 'n': 1, 'trace_an': 6}
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id: 51955760
{'hecke_orbit_code': 36028934491475694, 'n': 2, 'trace_an': 0}
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id: 51955761
{'hecke_orbit_code': 36028934491475694, 'n': 3, 'trace_an': -6}
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id: 51955762
{'hecke_orbit_code': 36028934491475694, 'n': 4, 'trace_an': -6}
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id: 51955763
{'hecke_orbit_code': 36028934491475694, 'n': 5, 'trace_an': 0}
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id: 51955764
{'hecke_orbit_code': 36028934491475694, 'n': 6, 'trace_an': 0}
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id: 51955765
{'hecke_orbit_code': 36028934491475694, 'n': 7, 'trace_an': 0}
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id: 51955766
{'hecke_orbit_code': 36028934491475694, 'n': 8, 'trace_an': 0}
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id: 51955767
{'hecke_orbit_code': 36028934491475694, 'n': 9, 'trace_an': 6}
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id: 51955768
{'hecke_orbit_code': 36028934491475694, 'n': 10, 'trace_an': -4}
-
id: 51955769
{'hecke_orbit_code': 36028934491475694, 'n': 11, 'trace_an': 0}
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id: 51955770
{'hecke_orbit_code': 36028934491475694, 'n': 12, 'trace_an': 6}
-
id: 51955771
{'hecke_orbit_code': 36028934491475694, 'n': 13, 'trace_an': -4}
-
id: 51955772
{'hecke_orbit_code': 36028934491475694, 'n': 14, 'trace_an': 0}
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id: 51955773
{'hecke_orbit_code': 36028934491475694, 'n': 15, 'trace_an': 0}
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id: 51955774
{'hecke_orbit_code': 36028934491475694, 'n': 16, 'trace_an': 6}
-
id: 51955775
{'hecke_orbit_code': 36028934491475694, 'n': 17, 'trace_an': -8}
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