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mf_newforms • Show schema
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{'Nk2': 496, 'analytic_conductor': 0.9901449850638767, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 124, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 10, 'char_parity': 1, 'char_values': [124, 10, [63, 65], [5, 7]], 'cm_discs': [], 'conrey_index': 15, 'conrey_indexes': [15, 23, 27, 91], 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [25, 0, 75, 0, 85, 0, -5, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 618508845180, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 31, 6, -1, 10, 0], 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, -1, -1, 0, 1, 0], [0, -2, 0, 0, 0, -2, 0, 1], [0, 2, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, -1, 0, 1, 0], [-1, 2, 2, 0, 0, 1, 2, -2], [0, -1, 0, 0, 0, 2, 0, -2], [0, -2, 0, 2, -2, -2, 0, 2], [0, 0, 4, 0, 0, 0, 4, 0], [1, 1, 0, 0, 0, 1, -1, 0], [0, -2, 0, 4, 0, 0, 0, 4], [-2, 0, -2, 0, -2, 0, -2, 0], [-1, 0, -1, 0, 3, 0, -2, 0], [0, 1, -2, -3, 3, 3, -2, -1], [0, 3, 0, 1, 0, 2, 0, -1], [0, 0, 4, 0, 0, 0, 0, 0], [2, 0, -4, 0, 1, 0, 2, 0], [-4, 4, 0, -4, -4, 0, 0, -4], [0, 0, 0, -5, 0, 0, 0, 0], [0, -2, 0, 0, 0, -2, 0, 2], [1, 0, -1, 0, -1, 0, 1, 0], [4, -2, 0, -2, 2, -2, -4, -2], [0, -1, 0, 1, 0, 1, 0, -1], [4, -2, 0, 4, 4, 0, -2, 4], [-3, 0, 0, 0, 1, 0, -1, 0], [2, -2, -4, 3, 3, -1, -1, -1], [0, 1, 0, -2, 0, -4, 0, -6], [4, 0, -6, 0, 4, 0, 0, 0], [-3, 0, -2, 0, -2, 0, -3, 0], [1, -4, -2, 1, -1, -2, -3, 3], [0, 0, 0, 3, 0, -2, 0, 6], [-4, 0, 0, 0, 0, -4, 0, 0], [14, 0, -6, 0, 6, 0, -14, 0], [2, 2, 1, -4, -4, 6, 2, -3], [0, -1, 0, 0, 0, 1, 0, -1], [0, 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-19, 0, 5], [0, 13, 0, -1, 0, -11, 0, -2], [16, 0, 12, 0, 8, 0, -28, 0], [0, 0, 0, -5, 0, 0, 0, 0], [-38, 0, 20, 0, -38, 0, 0, 0], [12, 0, -12, 0, 0, 0, -38, 0], [0, -9, 0, 11, 0, 11, 0, -9], [0, -22, 0, -13, 0, -11, 0, 35], [0, 0, -22, 0, 8, 0, -22, 0], [4, 0, -1, 0, -2, 0, -2, 0], [0, -40, 0, 14, 0, -54, 0, 27], [0, -5, 0, 53, 0, -5, 0, 0], [0, 24, 0, -25, 0, 25, 0, -24], [0, -20, 0, 8, 0, 4, 0, 16], [0, -23, 0, 0, 0, 4, 0, -4], [-11, 0, 22, 0, 12, 0, 34, 0], [-12, 0, 12, 0, 0, 0, 39, 0], [2, 0, 18, 0, -16, 0, 8, 0], [0, 16, 0, 16, 0, 16, 0, 16], [-12, 0, 11, 0, -6, 0, 1, 0], [0, 34, 0, -16, 0, 17, 0, -18], [0, 9, 0, -37, 0, 9, 0, 0], [0, 0, -8, 0, 0, 0, 0, 0], [0, 12, 0, -7, 0, -7, 0, 12], [0, 0, 0, -11, 0, 0, 0, 11], [-55, 0, 0, 0, -4, 0, 4, 0]], 'char_orbit_index': 10, 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'hecke_orbit_code': 618508845180, 'hecke_ring_character_values': [[63, [-1, 0, 0, 0, 0, 0, 0, 0]], [65, [0, 0, 0, 0, -1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 8, 'label': '124.2.j.a', 'level': 124, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 496, 'analytic_conductor': 0.9901449850638767, 'char_conductor': 124, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 10, 'char_parity': 1, 'char_values': [124, 10, [63, 65], [5, 7]], 'conrey_index': 15, 'cusp_dim': 56, 'dim': 56, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 618508845180, 'hecke_orbit_dims': [8, 48], 'label': '124.2.j', 'level': 124, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 31], 'level_radical': 62, 'mf_dim': 72, 'mf_new_dim': 72, 'num_forms': 2, 'prim_orbit_index': 10, 'relative_dim': 14, 'sturm_bound': 32, 'trace_bound': 1, 'trace_display': [-3, 0, -16, 0], 'traces': [56, -3, 0, 1, -16, 0, 0, 9, -16, -16, 0, 10, -10, -2, 0, 9, -10, -14, 0, -41, -30, 20, 0, -5, 0, 0, 0, -8, -10, 0, 0, 2, 14, 15, 0, 8, 0, -6, 0, -58, -6, 20, 0, -80, 12, -45, 0, 10, 32, 10, 0, 65, -10, 40, 0, 56, 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0, 0, 173, -10, 0, 0, 396, -8, 170, 0, 294, 0, 103, 0, -273, -90, 315, 0, -205, 206, -20, 0, 5, 216, 187, 0, 480, 80, 40, 0, 312, 0, 325, 0, 105, 0, 438, 0, 86, -300, -123, 0, 0, 264, 5, 0, 132, -210, -170, 0, 202, 20, 4, 0, -24, 78, 408, 0, 150, 50, 90, 0, 0, 500, -43, 0, 0, 34, -58, 0, 125, 150, -420, 0, -18, 326, 207, 0, -250, -210, 350, 0, 65, 308, 70, 0, -36, -68, -230, 0, -220, 170, -264, 0, -420, 110, -230, 0, -159, -140, 46, 0, -53, -248, 0, 0, 138, 216, -220, 0, -30, 420, -130, 0, 56, 310, -128, 0, -409, 10, -165, 0, -505, 944, 0, 0, 5, -10, 0, 0, 70, -86, -45, 0, 432, 0, 133, 0, -422, 94, 45, 0, -80, -208, 110, 0, 60, -364, 218, 0, 290, 230, 115, 0, 366, 0, 505, 0, 365, 0, 354, 0, 270, 300, 150, 0, 0, -214, -279, 0, 127, 210, -175, 0, 218, 150, 61, 0, -67, -250, 415, 0, -230, -180, 105, 0, 0, -450, -187, 0, 0, -210, -554, 0, -185, -338, -116, 0, 88, -258, 286, 0, -135, -290, 245, 0, -70, 158, -30, 0, -276, 114, -515, 0, -115, -40, -240, 0, -235, -102, -35, 0, -537, -224, -103, 0, -2, -4, 0, 0, 77, 50, -235, 0, 240, -350, -220, 0, -25, -210, -149, 0, -346, 20, -85, 0, -125, -544, 0, 0, -13, -50, 0, 0, -24, -56, 45, 0, 210, 0, -28, 0, -276, 152, 115, 0, -350, -126, -140, 0, 210, 532, -116, 0, 280, -130, 230, 0, 168, 0, 350, 0, 360, 0, -7, 0, 214, -310, -173, 0, 0, 126, 2, 0, 235, -170, -10, 0, 230, 30, -106, 0, 45, -118, 242, 0, 120, 190, 250, 0, 0, 480, 4, 0, 0, 30, -468, 0, 75, 156, -232, 0, 82, 120, 352, 0, -200, 210, 70, 0, 105, -102, -220, 0, -167, 238, -320, 0, 0, -20, -124, 0, -445, 380, -400, 0, -422, 76, -57, 0, 65, 496, 0, 0, 164, -42, -41, 0, 60, 470, -70, 0, 15, 320, 4, 0, -417, 510, 320, 0, -25, 492, 0, 0, 237, 130, 0, 0, 248, 62, 320, 0, 278, 0, 53, 0, 44, -218, 0, 0, -195, 138, 80, 0, -220, -730, 25, 0, 585, 10, 185, 0, 312, 0, 260, 0, -105, 0, 354, 0, -5, 220, -20, 0, 0, -258, 180, 0, 193, 650, -220, 0, 34, -100, -130, 0, -4, 30, 245, 0, -65, 90, 330, 0, 0, -1040, 138, 0, 0, 4, 372, 0, 90, -200, -162, 0, 9, -288, 379, 0, 20, -230, 265, 0, 30, -162, 140, 0, 120, -118, -120, 0, 0, -120, -238, 0, -360, -186, 10, 0, 184, 348, -155, 0, 50, -320, 0, 0, 63], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 106340
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '124.2.j.a', 'source_level': 124, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '124.2.j.a', 'target_level': 124, 'twist_class_label': '124.2.j.a', 'twist_class_level': 124, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 106341
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '124.2.j.a', 'source_level': 124, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '124.2.j.a', 'target_level': 124, 'twist_class_label': '124.2.j.a', 'twist_class_level': 124, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 106342
{'conductor': 31, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '124.2.j.a', 'source_level': 124, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '124.2.j.a', 'target_level': 124, 'twist_class_label': '124.2.j.a', 'twist_class_level': 124, 'twisting_char_label': '31.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 106343
{'conductor': 124, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '124.2.j.a', 'source_level': 124, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '124.2.j.a', 'target_level': 124, 'twist_class_label': '124.2.j.a', 'twist_class_level': 124, 'twisting_char_label': '124.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 347075
{'charpoly_factorization': [[[16, 16, 8, 0, -4, 0, 2, 2, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 2}
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id: 347076
{'charpoly_factorization': [[[25, 0, 75, 0, 85, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 3}
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id: 347077
{'charpoly_factorization': [[[-1, 1, 1], 4]], 'hecke_orbit_code': 618508845180, 'p': 5}
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id: 347078
{'charpoly_factorization': [[[1, 0, -29, 0, 321, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 7}
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id: 347079
{'charpoly_factorization': [[[6400, 0, -1600, 0, 1360, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 11}
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id: 347080
{'charpoly_factorization': [[[5, 15, 30, 10, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 13}
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id: 347081
{'charpoly_factorization': [[[125, 125, 25, -5, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 17}
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id: 347082
{'charpoly_factorization': [[[390625, 0, -15625, 0, 625, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 19}
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id: 347083
{'charpoly_factorization': [[[25, 0, 75, 0, 85, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 23}
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id: 347084
{'charpoly_factorization': [[[605, 440, 120, 15, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 29}
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id: 347085
{'charpoly_factorization': [[[923521, 0, 75919, 0, 3381, 0, 79, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 31}
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id: 347086
{'charpoly_factorization': [[[405, 0, 90, 0, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 37}
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id: 347087
{'charpoly_factorization': [[[16, 8, 24, -8, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 41}
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id: 347088
{'charpoly_factorization': [[[15625, 0, 0, 0, 250, 0, 25, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 43}
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id: 347089
{'charpoly_factorization': [[[130321, 0, -15884, 0, 766, 0, 1, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 47}
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id: 347090
{'charpoly_factorization': [[[405, -135, 45, 15, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 53}
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id: 347091
{'charpoly_factorization': [[[130321, 0, -14801, 0, 681, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 59}
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id: 347092
{'charpoly_factorization': [[[80, 0, 100, 0, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 61}
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id: 347093
{'charpoly_factorization': [[[3481, 0, 138, 0, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 67}
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id: 347094
{'charpoly_factorization': [[[707281, 0, -3364, 0, 1446, 0, -59, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 71}
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id: 347095
{'charpoly_factorization': [[[5, 10, 10, 5, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 73}
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id: 347096
{'charpoly_factorization': [[[93702400, 0, 3097600, 0, 38560, 0, -60, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 79}
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id: 347097
{'charpoly_factorization': [[[3258025, 0, 81225, 0, 1810, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 618508845180, 'p': 83}
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id: 347098
{'charpoly_factorization': [[[1805, 1520, 400, 25, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 89}
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id: 347099
{'charpoly_factorization': [[[121, -77, 69, -13, 1], 2]], 'hecke_orbit_code': 618508845180, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 1, 'label': '124.2.j.a', 'level': 124, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 39440000
{'hecke_orbit_code': 618508845180, 'n': 1, 'trace_an': 8}
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id: 39440001
{'hecke_orbit_code': 618508845180, 'n': 2, 'trace_an': -2}
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id: 39440002
{'hecke_orbit_code': 618508845180, 'n': 3, 'trace_an': 0}
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id: 39440003
{'hecke_orbit_code': 618508845180, 'n': 4, 'trace_an': 0}
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id: 39440004
{'hecke_orbit_code': 618508845180, 'n': 5, 'trace_an': -4}
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id: 39440005
{'hecke_orbit_code': 618508845180, 'n': 6, 'trace_an': 0}
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id: 39440006
{'hecke_orbit_code': 618508845180, 'n': 7, 'trace_an': 0}
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id: 39440007
{'hecke_orbit_code': 618508845180, 'n': 8, 'trace_an': 4}
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id: 39440008
{'hecke_orbit_code': 618508845180, 'n': 9, 'trace_an': 16}
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id: 39440009
{'hecke_orbit_code': 618508845180, 'n': 10, 'trace_an': 6}
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id: 39440010
{'hecke_orbit_code': 618508845180, 'n': 11, 'trace_an': 0}
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id: 39440011
{'hecke_orbit_code': 618508845180, 'n': 12, 'trace_an': -20}
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id: 39440012
{'hecke_orbit_code': 618508845180, 'n': 13, 'trace_an': -20}
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id: 39440013
{'hecke_orbit_code': 618508845180, 'n': 14, 'trace_an': -14}
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id: 39440014
{'hecke_orbit_code': 618508845180, 'n': 15, 'trace_an': 0}
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id: 39440015
{'hecke_orbit_code': 618508845180, 'n': 16, 'trace_an': 8}
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id: 39440016
{'hecke_orbit_code': 618508845180, 'n': 17, 'trace_an': 10}
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id: 39440017
{'hecke_orbit_code': 618508845180, 'n': 18, 'trace_an': -24}
-
id: 39440018
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