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{'Nk2': 30276, 'analytic_conductor': 60.43876928990712, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [29, 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': [7569, 1, [5888, 1684], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 1965297956293, 'field_disc_factorization': [[7, 6], [2029, 1], [8233, 1]], 'field_poly': [-7, 84, 14, -141, -23, 70, 9, -14, -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, [-7, 84, 14, -141, -23, 70, 9, -14, -1, 1]], [5, [-169, -923, -1293, -383, 383, 222, -24, -27, 0, 1]], [7, [-104, 340, 376, -1129, -929, 267, 152, -32, -5, 1]], [19, [8, 40, 2, -145, 7, 116, -2, -27, -1, 1]]], 'hecke_orbit': 38, 'hecke_orbit_code': 166633186246270353, 'hecke_ring_generator_nbound': 5, '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': False, 'label': '7569.2.a.bl', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'minimal_twist': '87.2.g.b', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(1-\\beta _{4}+\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7569.2.a', 'trace_display': [1, 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mf_hecke_nf • Show schema
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[-37, -18, 0, -4, 2, -31, 24, -3, -4], [9, -11, -8, 0, 5, -24, -5, -7, -2], [-14, 6, 16, 4, -2, 2, 13, 6, -6], [26, 4, -2, -2, -4, 32, -27, -7, 8], [14, -12, 4, 15, 14, 28, -16, 4, 3], [-44, 9, -10, 0, 9, 3, -16, -13, 6], [-17, 5, 4, -15, -11, -19, 0, -2, 14], [5, -15, 15, 12, 2, 18, -13, 3, 10], [-18, 4, -12, -11, 1, 16, 3, -13, 16], [-6, 17, 13, 0, -1, 2, -3, 8, -3], [32, -13, 6, 11, 4, 35, -30, 1, -5], [22, -9, -10, -16, -4, -1, 17, 14, 8], [-35, 1, 9, -5, 8, -32, 32, -4, 8], [10, -3, -6, -1, 2, -3, 36, -5, -7], [18, 1, 11, -1, -20, -25, -7, 8, 1], [-4, -6, -1, -23, -4, -20, 17, 4, -10], [20, 2, -9, -4, -6, 6, -6, -6, 3], [17, 7, -12, 8, -11, -2, 4, 10, -2], [12, -13, 19, -1, -10, 11, 1, 6, 13], [-15, -13, 5, -2, -11, 9, -19, 1, 0], [29, 8, 1, -2, -6, -2, -13, 10, -9], [0, 7, 0, 13, 5, -3, -12, -1, -15], [27, -18, -1, 5, -10, 17, -10, 5, -13], [-1, 11, -1, -10, 1, 0, -21, -10, 6], [27, 13, 6, 1, -5, 32, -33, -3, 6], [32, -2, 4, -3, -11, 20, -7, 3, 5], [-24, -5, 2, -5, -9, -33, 30, 10, -19], [29, 10, 6, 7, -11, 21, -8, 9, 1], [17, -17, 22, 7, -15, 18, -18, -4, 0], [7, -18, -2, 4, -7, -11, -21, -2, -2], [-29, 8, -5, -1, -3, 1, 6, 7, -5], [17, 7, 7, -2, 10, 20, -18, -10, 12], [-1, -9, 0, -7, -8, -13, 20, 2, 4], [-23, -8, 5, -5, 11, -35, 6, -15, -9], [1, -9, 13, 11, -3, 16, -20, -2, 4]], 'char_orbit_index': 1, 'field_poly': [-7, 84, 14, -141, -23, 70, 9, -14, -1, 1], 'hecke_orbit_code': 166633186246270353, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 2, 2, 4, 4, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 4, 1, 1, 0, 0, 0, 0, 0], [12, 2, 6, 1, 1, -1, 0, -1, 1], [8, 19, 9, 8, 1, -4, 1, -1, 2], [52, 21, 36, 12, 9, -14, 4, -10, 12], [51, 102, 69, 57, 14, -48, 15, -13, 26], [240, 168, 228, 109, 70, -135, 53, -76, 105]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0, 0, 0], [2, -4, -1, 1, 0, 0, 0, 0, 0], [5, 33, -37, -44, 33, 17, -10, -2, 1], [4, -61, 20, 79, -25, -28, 9, 3, -1], [-15, 125, -41, -178, 67, 69, -26, -8, 3], [21, -267, 83, 382, -109, -143, 42, 16, -5], [35, -447, 177, 624, -221, -233, 80, 26, -9]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 9, 'label': '7569.2.a.bl', 'level': 7569, 'maxp': 2999, 'weight': 2}
-
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{'ALdims': [61, 75, 98, 91], 'Nk2': 30276, 'analytic_conductor': 60.43876928990712, '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': [7569, 1, [5888, 1684], [1, 1]], 'conrey_index': 1, 'cusp_dim': 811, 'dim': 325, 'eis_dim': 119, 'eis_new_dim': 27, 'hecke_cutter_primes': [2, 5, 7, 19], 'hecke_orbit_code': 33562001, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 16, 16, 36], 'label': '7569.2.a', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'mf_dim': 930, 'mf_new_dim': 352, 'num_forms': 49, 'plus_dim': 152, 'prim_orbit_index': 1, 'relative_dim': 325, 'sturm_bound': 1740, 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122, 0, -314, 0, 0, 252, -12, 0, 226, 222, 0, 120, -16, 0, 10, -100, 0, 290], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1354619
{'conductor': 87, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '7569.2.a.bl', 'source_level': 7569, 'target_char_orbit': 7, 'target_dim': 18, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '87.2.g.b', 'target_level': 87, 'twist_class_label': '87.2.g.b', 'twist_class_level': 87, 'twisting_char_label': '87.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1354620
{'conductor': 29, 'degree': 6, 'multiplicity': 2, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '7569.2.a.bl', 'source_level': 7569, 'target_char_orbit': 11, 'target_dim': 18, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '261.2.k.b', 'target_level': 261, 'twist_class_label': '87.2.g.b', 'twist_class_level': 87, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1354621
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '7569.2.a.bl', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2523.2.a.p', 'target_level': 2523, 'twist_class_label': '87.2.g.b', 'twist_class_level': 87, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1354622
{'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '7569.2.a.bl', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2523.2.a.q', 'target_level': 2523, 'twist_class_label': '87.2.g.b', 'twist_class_level': 87, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1354623
{'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '7569.2.a.bl', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '7569.2.a.bk', 'target_level': 7569, 'twist_class_label': '87.2.g.b', 'twist_class_level': 87, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1354624
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 38, 'source_is_minimal': False, 'source_label': '7569.2.a.bl', 'source_level': 7569, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '7569.2.a.bl', 'target_level': 7569, 'twist_class_label': '87.2.g.b', 'twist_class_level': 87, '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: 4512425
{'charpoly_factorization': [[[-7, 84, 14, -141, -23, 70, 9, -14, -1, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 2}
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id: 4512426
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 166633186246270353, 'p': 3}
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id: 4512427
{'charpoly_factorization': [[[-169, -923, -1293, -383, 383, 222, -24, -27, 0, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 5}
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id: 4512428
{'charpoly_factorization': [[[-104, 340, 376, -1129, -929, 267, 152, -32, -5, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 7}
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id: 4512429
{'charpoly_factorization': [[[7496, -20504, 12554, 1725, -3315, 485, 212, -50, -3, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 11}
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id: 4512430
{'charpoly_factorization': [[[-841, 147, 1303, -121, -558, 69, 91, -15, -5, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 13}
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id: 4512431
{'charpoly_factorization': [[[271727, -100052, -93652, 53660, -1655, -3703, 632, 37, -16, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 17}
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id: 4512432
{'charpoly_factorization': [[[8, 40, 2, -145, 7, 116, -2, -27, -1, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 19}
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id: 4512433
{'charpoly_factorization': [[[-13448, -7052, 15930, 4907, -4570, -318, 424, -23, -10, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 23}
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id: 4512434
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 166633186246270353, 'p': 29}
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id: 4512435
{'charpoly_factorization': [[[465592, 61548, -399012, -176463, 4171, 10056, 388, -184, -4, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 31}
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id: 4512436
{'charpoly_factorization': [[[-111257, 139489, 359958, 117092, -18253, -11591, -964, 143, 25, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 37}
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id: 4512437
{'charpoly_factorization': [[[-583681, 620354, 63658, -227256, 75695, -5129, -1818, 419, -34, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 41}
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id: 4512438
{'charpoly_factorization': [[[-7736, -906740, 1142530, -439939, 28571, 13410, -1426, -170, 12, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 43}
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id: 4512439
{'charpoly_factorization': [[[7004024, 4313212, 110888, -335743, -31357, 10252, 919, -155, -8, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 47}
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id: 4512440
{'charpoly_factorization': [[[1284907, -263229, -462619, 111044, 37916, -12493, 12, 300, -32, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 53}
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id: 4512441
{'charpoly_factorization': [[[56161784, 1456700, -6008296, -302695, 221696, 15737, -3068, -268, 10, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 59}
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id: 4512442
{'charpoly_factorization': [[[642691, -5000415, -3604895, -700890, 89671, 61488, 11401, 1064, 51, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 61}
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id: 4512443
{'charpoly_factorization': [[[51076472, 26239844, -863896, -1788789, -74414, 37824, 1556, -332, -7, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 67}
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id: 4512444
{'charpoly_factorization': [[[-661256, 2434856, -653334, -340167, 71496, 15812, -1398, -236, 7, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 71}
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id: 4512445
{'charpoly_factorization': [[[-1284473, 2145584, 2178739, -1742178, 176656, 31963, -3502, -256, 17, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 73}
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id: 4512446
{'charpoly_factorization': [[[31304, -253792, 597002, -333019, 29342, 12964, -1524, -168, 13, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 79}
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id: 4512447
{'charpoly_factorization': [[[4705112, -538468, -1004078, 196173, 54636, -17068, 406, 276, -31, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 83}
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id: 4512448
{'charpoly_factorization': [[[-237040103, -72454146, 6794375, 4051111, 184456, -60143, -6245, 93, 32, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 89}
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id: 4512449
{'charpoly_factorization': [[[18124457, -25954830, -19648041, -1230739, 749352, 45679, -6929, -427, 16, 1], 1]], 'hecke_orbit_code': 166633186246270353, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 38, 'label': '7569.2.a.bl', 'level': 7569, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70160497
{'hecke_orbit_code': 166633186246270353, 'n': 1, 'trace_an': 9}
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id: 70160498
{'hecke_orbit_code': 166633186246270353, 'n': 2, 'trace_an': 1}
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id: 70160499
{'hecke_orbit_code': 166633186246270353, 'n': 3, 'trace_an': 0}
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id: 70160500
{'hecke_orbit_code': 166633186246270353, 'n': 4, 'trace_an': 11}
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id: 70160501
{'hecke_orbit_code': 166633186246270353, 'n': 5, 'trace_an': 0}
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id: 70160502
{'hecke_orbit_code': 166633186246270353, 'n': 6, 'trace_an': 0}
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id: 70160503
{'hecke_orbit_code': 166633186246270353, 'n': 7, 'trace_an': 5}
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id: 70160504
{'hecke_orbit_code': 166633186246270353, 'n': 8, 'trace_an': 12}
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id: 70160505
{'hecke_orbit_code': 166633186246270353, 'n': 9, 'trace_an': 0}
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id: 70160506
{'hecke_orbit_code': 166633186246270353, 'n': 10, 'trace_an': -4}
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id: 70160507
{'hecke_orbit_code': 166633186246270353, 'n': 11, 'trace_an': 3}
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id: 70160508
{'hecke_orbit_code': 166633186246270353, 'n': 12, 'trace_an': 0}
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id: 70160509
{'hecke_orbit_code': 166633186246270353, 'n': 13, 'trace_an': 5}
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id: 70160510
{'hecke_orbit_code': 166633186246270353, 'n': 14, 'trace_an': 15}
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id: 70160511
{'hecke_orbit_code': 166633186246270353, 'n': 15, 'trace_an': 0}
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id: 70160512
{'hecke_orbit_code': 166633186246270353, 'n': 16, 'trace_an': -5}
-
id: 70160513
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id: 70160752
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id: 70160753
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id: 70160754
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