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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [11, 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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-12, 0, 1]], [13, [2, 1]], [17, [-12, 0, 1]], [19, [-8, 4, 1]], [23, [-48, 0, 1]], [29, [-6, 1]]], 'hecke_orbit': 82, 'hecke_orbit_code': 364791569850574310, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': False, 'label': '9702.2.a.dd', 'level': 9702, '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, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.h', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+\\beta q^{5}+q^{8}+\\beta q^{10}-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': '9702.2.a', 'trace_display': [2, 0, 0, 0], 'trace_hash': 1576727904312047133, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.080', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [108, 119, 121, 108, 111, 107, 107, 111, 111, 123, 116, 105, 109, 109, 110, 109], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, '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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, '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, 11], 'level_radical': 462, 'mf_dim': 2080, 'mf_new_dim': 169, 'num_forms': 107, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 4032, 'trace_bound': 31, 'trace_display': [-1, 0, -2, 0], 'traces': [169, -1, 0, 169, -2, 0, 0, -1, 0, -2, 1, 0, -2, 0, 0, 169, -18, 0, -12, -2, 0, -1, -4, 0, 159, -14, 0, 0, 2, 0, -8, -1, 0, -6, 0, 0, 30, -4, 0, -2, 6, 0, 52, 1, 0, 0, 4, 0, 0, -39, 0, -2, -38, 0, -6, 0, 0, -50, 16, 0, -2, -8, 0, 169, -52, 0, 44, -18, 0, 0, -20, 0, 10, -46, 0, -12, 0, 0, 80, -2, 0, -14, -20, 0, -76, 8, 0, -1, -6, 0, 0, -4, 0, 8, 32, 0, -46, 0, 0, 159, 34, 0, 0, -14, 0, -2, -60, 0, 62, -6, 0, 0, -6, 0, -32, 2, 0, 20, 0, 0, 169, 26, 0, -8, -108, 0, 48, -1, 0, -20, 20, 0, 0, 4, 0, -6, 50, 0, 36, 0, 0, 56, 10, 0, 68, -10, 0, 30, 2, 0, 112, -4, 0, 0, 112, 0, 10, -8, 0, -2, 0, 0, 140, 6, 0, 48, 48, 0, 239, -36, 0, 52, -14, 0, 0, 1, 0, 10, 84, 0, 26, 0, 0, 0, 4, 0, 2, 4, 0, 32, 164, 0, 66, -34, 0, 0, 42, 0, 24, -39, 0, -6, 0, 0, 68, 32, 0, -2, -20, 0, 124, -38, 0, 20, 88, 0, 0, -26, 0, -6, 28, 0, -8, 0, 0, -14, 12, 0, 18, 96, 0, -50, -26, 0, 64, 16, 0, 0, -8, 0, 66, -1, 0, -2, 0, 0, 224, -8, 0, -12, 96, 0, -24, 184, 0, 169, 50, 0, 0, -52, 0, 24, -8, 0, 108, 0, 0, 44, 14, 0, 136, -18, 0, -94, 31, 0, 6, -12, 0, 0, 262, 0, 108, -20, 0, 14, 0, 0, 211, -44, 0, 10, -22, 0, 72, -46, 0, 30, -72, 0, 0, 104, 0, -12, -60, 0, 12, 0, 0, 128, 52, 0, -54, -46, 0, 80, -14, 0, -14, -2, 0, 0, 32, 0, 106, 172, 0, -14, 0, 0, -92, -20, 0, 64, -24, 0, -38, 1, 0, -76, -12, 0, 0, 8, 0, 130, -84, 0, -58, 0, 0, -1, 2, 0, 72, -6, 0, 36, -56, 0, -19, 26, 0, 0, -164, 0, 88, -4, 0, -12, 0, 0, -58, -18, 0, 8, 12, 0, 12, 32, 0, 80, -28, 0, 0, -34, 0, -46, 74, 0, 80, 0, 0, -10, 64, 0, 26, 128, 0, 159, 10, 0, -120, 34, 0, 0, 70, 0, -54, -52, 0, 0, 0, 0, 56, -14, 0, 12, -80, 0, -162, 48, 0, -2, -126, 0, 0, -60, 0, 104, 64, 0, 66, 0, 0, 62, -56, 0, -16, -6, 0, 12, -20, 0, -20, 88, 0, 0, -134, 0, 10, -6, 0, 48, 0, 0, -14, 58, 0, -32, 82, 0, 40, 2, 0, -6, 152, 0, 0, 112, 0, 20, 0, 0, -140, 0, 0, -8, -16, 0, -108, 30, 0, 169, 132, 0, -48, 26, 0, 0, -12, 0, -180, -16, 0, -8, 0, 0, 20, -108, 0, 20, 0, 0, -60, 20, 0, 48, -122, 0, 0, -1, 0, -94, 8, 0, 28, 0, 0, -20, -14, 0, -84, 20, 0, -16, -80, 0, 105, -68, 0, 0, -84, 0, -40, 4, 0, -82, 0, 0, -114, 88, 0, -6, -180, 0, 148, 50, 0, 1, -72, 0, 0, 102, 0, 36, 98, 0, -240, 0, 0, -46, 12, 0, -4, -12, 0, 56, 134, 0, -108, 10, 0, 0, -4, 0, 106, -139, 0, 68, 0, 0, -54, -10, 0, -78, -152, 0, 64, -32, 0, 30, 38, 0, 0, 2, 0, 104, -76, 0, -150, 0, 0, 112, -2, 0, 72, -4, 0, -124, 120, 0, -74, -28, 0, 0, -86, 0, -16, 112, 0, 112, 0, 0, 237, -10, 0, 10, 212, 0, 16, -8, 0, -18, 88, 0, 0, 30, 0, -2, 194, 0, -120, 0, 0, -24, 12, 0, -24, -58, 0, 140, 242, 0, 80, 6, 0, 0, -44, 0, -46, 84, 0, 48, 0, 0, 144, 48, 0, 40, -54, 0, -166, -26, 0, 239, 202, 0, 0, -36, 0, 20, 132, 0, -140, 0, 0, 52, -20, 0, -120, -14, 0, 92, 200, 0, 252, -62, 0, 0, 66, 0, -88, 1, 0, -158, 0, 0, -194, 56, 0, 10, 160, 0, 60, 84, 0, 8, 44, 0, 0, 227, 0, 26, 334, 0, 40, 0, 0, -156, 16, 0, -122, -72, 0, 0, 60, 0, -100, 4, 0, 0, 616, 0, -172, -10, 0, 2, 0, 0, -192, 4, 0, -172, 232, 0, 6, -132, 0, 32, -26, 0, 0, 164, 0, -120, 200, 0, -158, 0, 0, 66, -90, 0, -8, -34, 0, -138, 344, 0, 0, -24, 0, 0, 4, 0, 172, 42, 0, -16, 0, 0, -92, -118, 0, 24, -74, 0, -144, -39, 0, 106, 14, 0, 0, -152, 0, -6, -226, 0, -172, 0, 0, 26, 40, 0, 168, -106, 0, 68, -278, 0, -448, 32, 0, 0, -292, 0, -46, 424, 0, -2, 0, 0, 120, -20, 0, -28, -28, 0, -1, 154, 0, 124, -86, 0, 0, -38, 0, -90, -224, 0, 190, 0, 0, 20, -34, 0, -32, 88, 0, -120, 92, 0, -340, 30, 0, 0, 0, 0, 104, -26, 0, -120, 0, 0, -74, 56, 0, -6, -182, 0, -268, 28, 0, 44, -32, 0, 0, -92, 0, -8, -184, 0, 200, 0, 0, -110, -176, 0, -180, -26, 0, -14, 404, 0, 228, 12, 0, 0, 20, 0, -16, 30, 0, 18, 0, 0, 352, 96, 0, 114, 160, 0, 154, -160, 0, -50, 26, 0, 0, -26, 0, 52, -36, 0, -86, 0, 0, 64, -190, 0, -160, 16, 0, -44, 268, 0, 308, 44, 0, 0, -146, 0, 168, -8, 0, -40, 0, 0, 233, -212, 0, 66, 36, 0, 304, -1, 0, -204, 32, 0, 0, 64, 0, -2, -86, 0, 54, 0, 0, 12, 12, 0, 20, 20, 0, 224, -8, 0, 408, -8, 0, 0, 360, 0, 54, -44, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1444173
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 82, 'source_is_minimal': False, 'source_label': '9702.2.a.dd', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '462.2.a.h', 'target_level': 462, 'twist_class_label': '462.2.a.h', 'twist_class_level': 462, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1444174
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 82, 'source_is_minimal': False, 'source_label': '9702.2.a.dd', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1386.2.a.p', 'target_level': 1386, 'twist_class_label': '462.2.a.h', 'twist_class_level': 462, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444175
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 82, 'source_is_minimal': False, 'source_label': '9702.2.a.dd', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3234.2.a.x', 'target_level': 3234, 'twist_class_label': '462.2.a.h', 'twist_class_level': 462, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1444176
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 82, 'source_is_minimal': False, 'source_label': '9702.2.a.dd', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3696.2.a.bc', 'target_level': 3696, 'twist_class_label': '462.2.a.h', 'twist_class_level': 462, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1444177
{'conductor': 231, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 82, 'source_is_minimal': False, 'source_label': '9702.2.a.dd', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '5082.2.a.bu', 'target_level': 5082, 'twist_class_label': '462.2.a.h', 'twist_class_level': 462, 'twisting_char_label': '231.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1444178
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 82, 'source_is_minimal': False, 'source_label': '9702.2.a.dd', 'source_level': 9702, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 82, 'target_is_minimal': False, 'target_label': '9702.2.a.dd', 'target_level': 9702, 'twist_class_label': '462.2.a.h', 'twist_class_level': 462, '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: 5040975
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 2}
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id: 5040976
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 3}
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id: 5040977
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 5}
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id: 5040978
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 7}
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id: 5040979
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 11}
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id: 5040980
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 13}
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id: 5040981
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 17}
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id: 5040982
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 19}
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id: 5040983
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 23}
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id: 5040984
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 29}
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id: 5040985
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 31}
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id: 5040986
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 37}
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id: 5040987
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 41}
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id: 5040988
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 43}
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id: 5040989
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 47}
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id: 5040990
{'charpoly_factorization': [[[-12, 12, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 53}
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id: 5040991
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 59}
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id: 5040992
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 61}
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id: 5040993
{'charpoly_factorization': [[[16, -16, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 67}
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id: 5040994
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 71}
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id: 5040995
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 73}
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id: 5040996
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 79}
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id: 5040997
{'charpoly_factorization': [[[-72, 12, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 83}
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id: 5040998
{'charpoly_factorization': [[[-12, -12, 1], 1]], 'hecke_orbit_code': 364791569850574310, 'p': 89}
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id: 5040999
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 364791569850574310, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 82, 'label': '9702.2.a.dd', 'level': 9702, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72483529
{'hecke_orbit_code': 364791569850574310, 'n': 1, 'trace_an': 2}
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id: 72483530
{'hecke_orbit_code': 364791569850574310, 'n': 2, 'trace_an': 2}
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id: 72483531
{'hecke_orbit_code': 364791569850574310, 'n': 3, 'trace_an': 0}
-
id: 72483532
{'hecke_orbit_code': 364791569850574310, 'n': 4, 'trace_an': 2}
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id: 72483533
{'hecke_orbit_code': 364791569850574310, 'n': 5, 'trace_an': 0}
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id: 72483534
{'hecke_orbit_code': 364791569850574310, 'n': 6, 'trace_an': 0}
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id: 72483535
{'hecke_orbit_code': 364791569850574310, 'n': 7, 'trace_an': 0}
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id: 72483536
{'hecke_orbit_code': 364791569850574310, 'n': 8, 'trace_an': 2}
-
id: 72483537
{'hecke_orbit_code': 364791569850574310, 'n': 9, 'trace_an': 0}
-
id: 72483538
{'hecke_orbit_code': 364791569850574310, 'n': 10, 'trace_an': 0}
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id: 72483539
{'hecke_orbit_code': 364791569850574310, 'n': 11, 'trace_an': -2}
-
id: 72483540
{'hecke_orbit_code': 364791569850574310, 'n': 12, 'trace_an': 0}
-
id: 72483541
{'hecke_orbit_code': 364791569850574310, 'n': 13, 'trace_an': -4}
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id: 72483542
{'hecke_orbit_code': 364791569850574310, 'n': 14, 'trace_an': 0}
-
id: 72483543
{'hecke_orbit_code': 364791569850574310, 'n': 15, 'trace_an': 0}
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id: 72483544
{'hecke_orbit_code': 364791569850574310, 'n': 16, 'trace_an': 2}
-
id: 72483545
{'hecke_orbit_code': 364791569850574310, 'n': 17, 'trace_an': 0}
-
id: 72483546
{'hecke_orbit_code': 364791569850574310, 'n': 18, 'trace_an': 0}
-
id: 72483547
{'hecke_orbit_code': 364791569850574310, 'n': 19, 'trace_an': -4}
-
id: 72483548
{'hecke_orbit_code': 364791569850574310, 'n': 20, 'trace_an': 0}
-
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