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{'Nk2': 5436, 'analytic_conductor': 10.851669634692005, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [151, 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': [1359, 1, [605, 1063], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, -1, -2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797778767, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1359.2.a.g', 'level': 1359, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 151], 'level_radical': 453, 'minimal_twist': '151.2.a.a', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(1-2\\beta _{1}+\\beta _{2})q^{4}+(3+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1359.2.a', 'trace_display': [2, 0, 7, -3], 'trace_hash': 160320444846085948, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.836', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.750', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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17, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [1, -1, 0], [0, 0, 0], [1, -2, 1], [3, -1, 1], [0, 0, 0], [-1, 0, 0], [2, -1, 2], [0, 0, 0], [4, -4, 1], [1, 0, -2], [0, 0, 0], [1, -1, 3], [-1, 1, 0], [0, 0, 0], [0, 1, -1], [4, -1, 3], [0, 0, 0], [-4, 4, -5], [5, -6, 2], [0, 0, 0], [3, -1, 0], [-1, 0, -3], [0, 0, 0], [5, -5, 4], [0, -2, 1], [0, 0, 0], [-1, 2, -1], [-1, 5, 1], [0, 0, 0], [-2, 1, -4], [-5, 3, -5], [0, 0, 0], [3, -5, 1], [-3, 1, -1], [0, 0, 0], [3, 1, -3], [-7, 8, -4], [0, 0, 0], [7, -3, 4], [7, -2, -2], [0, 0, 0], [8, -3, 5], [3, -4, 5], [0, 0, 0], [2, 1, 0], [-1, 4, 4], [0, 0, 0], [-6, 0, 0], [11, -10, 5], [0, 0, 0], [1, 0, -4], [0, 5, -3], [0, 0, 0], [3, -3, -1], [-2, 1, -2], [0, 0, 0], [-12, 6, -5], [-4, 6, -7], [0, 0, 0], [-2, 5, 0], [0, 3, -1], [0, 0, 0], [-6, 6, -1], [4, -1, 4], [0, 0, 0], [-6, 9, -8], [4, -6, -1], [0, 0, 0], [-4, 4, -1], [4, -3, -5], [0, 0, 0], [3, -6, 4], [4, -2, -1], [0, 0, 0], [-11, 7, 2], [-1, 0, 2], [0, 0, 0], [3, -7, 5], [-1, 2, -1], [0, 0, 0], [13, -9, 2], [3, -2, 4], 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[48, 11, -5], [10, -1, 0], [-29, -38, 7], [57, -13, -13], [-36, 51, -19], [-64, 2, 4], [4, -24, 0], [11, -25, 11], [51, -50, 63], [7, 21, 4], [12, -57, 0], [-11, -2, -21], [24, -29, 43], [-34, 15, -12], [-32, 5, -2], [8, -22, -13], [-13, 32, -52], [5, -19, 5], [-3, 11, -15], [45, -44, 38], [1, 28, -24], [30, -5, 30], [2, -7, 35], [19, -23, 1], [25, -24, 31], [-4, 11, 2], [32, -17, 16], [-43, 40, -58], [-38, 10, 2], [30, 1, 5], [61, -31, 41], [-2, 32, -36], [-39, -2, 17], [16, -46, 19], [7, -35, 46], [11, 1, -6], [15, -29, 14], [21, -57, 31], [26, -31, -9], [10, 10, -17], [46, -25, 60], [-26, 28, -22], [77, -6, 10], [6, -6, -17], [-69, 16, -7], [56, -18, 42], [-50, 46, -53], [2, 19, 6], [-18, 51, -39], [-63, 21, -32], [-41, 5, -7], [-14, 30, -41], [33, 8, -9], [-27, -32, 9], [28, -33, 5], [55, -46, 32], [-33, 23, -60], [40, -29, 63], [-37, 20, -31], [15, -41, 7], [4, 20, -25], [-32, 50, -54], [7, -13, -1], [32, -8, 34], [-7, 40, -26], [-5, -24, -16], [51, -25, 40], [9, -27, 45], [7, -14, 6], [-12, 34, 4], [-10, 21, 50], [-2, 68, -35], [23, -8, 28], [-46, 7, 27], [-49, 18, -20], [5, -1, 17], [-51, 31, -75], [-78, 16, -10], [-57, -3, -25], [-24, 35, 41], [-16, 29, -35], [-43, 16, -37], [-18, 0, 11], [-58, 5, 10], [-25, -6, -24], [18, -10, -3], [20, -60, 16], [-9, -20, 11], [22, 30, -35], [-70, 25, -24], [-7, 32, -6]], 'char_orbit_index': 1, 'field_poly': [1, -2, -1, 1], 'hecke_orbit_code': 27021597797778767, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '1359.2.a.g', 'level': 1359, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [151, -1]], 15, 5], [[[3, 1], [151, 1]], 6, 1], [[[3, 1], [151, -1]], 20, 2], [[[3, -1], [151, 1]], 22, 5]], 'ALdims': [6, 20, 22, 15], 'Nk2': 5436, 'analytic_conductor': 10.851669634692005, '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': [1359, 1, [605, 1063], [1, 1]], 'conrey_index': 1, 'cusp_dim': 149, 'dim': 63, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555791, 'hecke_orbit_dims': [2, 2, 2, 2, 3, 3, 3, 5, 6, 6, 6, 9, 14], 'label': '1359.2.a', 'level': 1359, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 151], 'level_radical': 453, 'mf_dim': 156, 'mf_new_dim': 63, 'num_forms': 13, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 63, 'sturm_bound': 304, 'trace_bound': 4, 'trace_display': [0, 0, 2, 2], 'traces': [63, 0, 0, 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0, -1330, -242, 0, 226, -625, 0, -190, 328, 0, -184, 244, 0, 1308, -798, 0, -94, 1020, 0, -570, 92, 0, -208, 290, 0, -1051, -278, 0, 180, -458, 0, -1702, -74, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 719420
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1359.2.a.g', 'source_level': 1359, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '151.2.a.a', 'target_level': 151, 'twist_class_label': '151.2.a.a', 'twist_class_level': 151, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 719421
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1359.2.a.g', 'source_level': 1359, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1359.2.a.g', 'target_level': 1359, 'twist_class_label': '151.2.a.a', 'twist_class_level': 151, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 719422
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1359.2.a.g', 'source_level': 1359, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2416.2.a.h', 'target_level': 2416, 'twist_class_label': '151.2.a.a', 'twist_class_level': 151, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 719423
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1359.2.a.g', 'source_level': 1359, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3775.2.a.k', 'target_level': 3775, 'twist_class_label': '151.2.a.a', 'twist_class_level': 151, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 719424
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1359.2.a.g', 'source_level': 1359, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7399.2.a.b', 'target_level': 7399, 'twist_class_label': '151.2.a.a', 'twist_class_level': 151, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 719425
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1359.2.a.g', 'source_level': 1359, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '9664.2.a.p', 'target_level': 9664, 'twist_class_label': '151.2.a.a', 'twist_class_level': 151, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 719426
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1359.2.a.g', 'source_level': 1359, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '9664.2.a.t', 'target_level': 9664, 'twist_class_label': '151.2.a.a', 'twist_class_level': 151, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1894950
{'charpoly_factorization': [[[1, -1, -2, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 2}
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id: 1894951
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 27021597797778767, 'p': 3}
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id: 1894952
{'charpoly_factorization': [[[-7, 14, -7, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 5}
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id: 1894953
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 27021597797778767, 'p': 7}
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id: 1894954
{'charpoly_factorization': [[[13, -1, -5, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 11}
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id: 1894955
{'charpoly_factorization': [[[13, -16, 1, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 13}
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id: 1894956
{'charpoly_factorization': [[[43, 5, -8, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 17}
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id: 1894957
{'charpoly_factorization': [[[-139, -46, 3, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 19}
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id: 1894958
{'charpoly_factorization': [[[7, -21, 0, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 23}
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id: 1894959
{'charpoly_factorization': [[[-41, -72, -1, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 29}
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id: 1894960
{'charpoly_factorization': [[[-43, -30, 1, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 31}
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id: 1894961
{'charpoly_factorization': [[[-29, 40, -13, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 37}
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id: 1894962
{'charpoly_factorization': [[[-91, 119, -21, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 41}
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id: 1894963
{'charpoly_factorization': [[[197, 41, -16, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 43}
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id: 1894964
{'charpoly_factorization': [[[-559, -109, 3, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 47}
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id: 1894965
{'charpoly_factorization': [[[197, -23, -8, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 53}
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id: 1894966
{'charpoly_factorization': [[[-181, -100, -1, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 59}
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id: 1894967
{'charpoly_factorization': [[[13, -58, 1, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 61}
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id: 1894968
{'charpoly_factorization': [[[41, -170, 1, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 67}
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id: 1894969
{'charpoly_factorization': [[[889, -49, -14, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 71}
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id: 1894970
{'charpoly_factorization': [[[-169, -65, 1, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 73}
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id: 1894971
{'charpoly_factorization': [[[-293, -88, 3, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 79}
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id: 1894972
{'charpoly_factorization': [[[83, -25, -3, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 83}
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id: 1894973
{'charpoly_factorization': [[[-12, 1], 3]], 'hecke_orbit_code': 27021597797778767, 'p': 89}
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id: 1894974
{'charpoly_factorization': [[[189, -63, 0, 1], 1]], 'hecke_orbit_code': 27021597797778767, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1359.2.a.g', 'level': 1359, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 175057000
{'hecke_orbit_code': 27021597797778767, 'n': 1, 'trace_an': 3}
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id: 175057001
{'hecke_orbit_code': 27021597797778767, 'n': 2, 'trace_an': 2}
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id: 175057002
{'hecke_orbit_code': 27021597797778767, 'n': 3, 'trace_an': 0}
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id: 175057003
{'hecke_orbit_code': 27021597797778767, 'n': 4, 'trace_an': 0}
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id: 175057004
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id: 175057984
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id: 175057985
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id: 175057986
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id: 175057987
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id: 175057988
{'hecke_orbit_code': 27021597797778767, 'n': 989, 'trace_an': -49}
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id: 175057989
{'hecke_orbit_code': 27021597797778767, 'n': 990, 'trace_an': 0}
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id: 175057990
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id: 175057991
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id: 175057992
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id: 175057993
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id: 175057994
{'hecke_orbit_code': 27021597797778767, 'n': 995, 'trace_an': 28}
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id: 175057995
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id: 175057996
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id: 175057997
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id: 175057998
{'hecke_orbit_code': 27021597797778767, 'n': 999, 'trace_an': 0}
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id: 175057999
{'hecke_orbit_code': 27021597797778767, 'n': 1000, 'trace_an': 28}