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mf_newforms • Show schema
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{'Nk2': 652, 'analytic_conductor': 1.3015615529468703, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[163, -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': [163, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 660293912, 'field_disc_factorization': [[2, 3], [82536739, 1]], 'field_poly': [6, 4, -23, 0, 19, -5, -3, 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, [6, 4, -23, 0, 19, -5, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288295587, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '163.2.a.c', 'level': 163, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [163], 'level_radical': 163, 'minimal_twist': '163.2.a.c', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{4}q^{3}+(1+\\beta _{2})q^{4}+(2-\\beta _{6})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '163.2.a', 'trace_display': [3, 1, 11, 0], 'trace_hash': 1214640351204686477, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.095', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.242', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.105', 'prec': 17}, {'__RealLiteral__': 0, 'data': '104.828', 'prec': 24}, {'__RealLiteral__': 0, 'data': '115.462', 'prec': 24}, {'__RealLiteral__': 0, 'data': '2703.269', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [7, 3, 1, 5, 11, -3, 0, 3, 2, 1, 2, -4, 10, -1, -4, -3, 13, -4, -5, 4, -5, -11, 2, -7, 4, -9, -11, -18, 7, -13, -11, -6, -6, -6, -9, -24, 3, -5, -13, -12, 17, 1, -10, 8, 12, -24, 11, -8, -7, 13, 6, 23, 18, -4, -6, -2, 20, -1, 11, -27, 4, 25, 7, -21, 34, -10, -18, 23, 8, 6, -3, 22, 2, 0, -9, -24, 25, -10, 0, -8, -13, -1, 18, 16, 12, 15, 19, 3, 18, 37, -36, 23, -15, 51, -25, 28, 21, 6, -13, 20, 25, 20, -13, 8, -18, 19, 13, 3, 0, -30, -32, -10, 9, 56, -15, -37, 9, 18, -16, -48, -33, 77, -47, 56, 0, -35, -16, -9, -23, -17, -21, 17, -14, -17, -9, -5, 4, -2, -41, -12, -30, 9, -4, 17, -19, -21, 11, -38, 6, -20, -19, -8, -29, 41, -30, -2, -12, -27, -25, 15, -7, -19, 7, 35, -32, 1, 23, 13, -13, -69, -4, -4, 45, 47, -61, -17, 6, 26, -22, -8, 1, -12, 28, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, -1], [0, 0, 0, 1, 1, -1, 0], [-1, 0, -1, -1, -1, 0, 1], [0, 0, 0, 0, -1, 1, 1], [0, 0, -1, 0, -1, 1, 0], [-1, 2, -1, -1, -1, 1, -1], [0, -1, 0, -1, -1, 0, 1], [0, -1, 0, 1, 0, -1, 1], [3, -1, 1, 1, 0, 0, -1], [0, -1, 0, -1, 0, -1, 0], [0, 0, 0, 1, 3, -1, -1], [0, 0, 0, 1, 0, 0, 0], [3, -1, 1, 1, 1, -1, 0], [1, -1, 1, 0, 0, 0, -2], [0, 0, 0, 2, 2, -1, 0], [1, -1, 1, -2, -2, 1, -1], [-2, 0, 0, -2, -1, 1, 1], [-3, 1, -1, -1, -1, 0, 1], [1, -2, 1, 0, 0, 0, 1], [-2, -1, 0, -1, 0, 1, 2], [2, 1, 1, 1, 1, 0, -3], [-3, 3, -1, 0, -1, 2, 0], [-2, 0, 0, -1, -1, 1, 0], [-3, 1, -1, 0, 1, 0, -1], [1, 0, -1, 2, 1, 0, 1], [-1, -1, -1, 2, 3, -2, 0], [-3, 1, 1, -2, -2, 2, 1], [1, -1, 1, 1, 3, -2, -2], [-2, -1, 0, -2, -2, 1, 2], [-3, 3, -1, 1, 1, 0, 2], [-3, 0, -1, -1, -2, 0, 3], [-5, 2, -1, -2, -1, 1, -1], [1, 0, -1, 1, 0, -3, 0], [1, -2, 1, 3, 4, -2, 1], [-1, 0, 1, 1, 3, -1, -1], [-3, 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-10, -1], [10, 1, -10, -7, -11, 1, 0], [-23, 0, -13, -14, -8, 3, 19], [-4, -4, 4, 0, 13, -5, 0]], 'char_orbit_index': 1, 'field_poly': [6, 4, -23, 0, 19, -5, -3, 1], 'hecke_orbit_code': 9007199288295587, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [3, 0, 1, 0, 0, 0, 0], [0, 4, 0, 0, -1, 1, 1], [14, 0, 6, 1, 0, 0, 0], [1, 19, 1, 1, -5, 6, 6], [70, 1, 32, 8, 1, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0], [4, 0, -6, 0, 1, 0, 0], [-2, 5, 5, -6, -1, 1, 0], [2, 7, -6, -11, 6, 2, -1], [-4, -6, 11, 6, -7, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 7, 'label': '163.2.a.c', 'level': 163, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 7], 'Nk2': 652, 'analytic_conductor': 1.3015615529468703, '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': [163, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 13, 'dim': 13, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554595, 'hecke_orbit_dims': [1, 5, 7], 'label': '163.2.a', 'level': 163, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [163], 'level_radical': 163, 'mf_dim': 14, 'mf_new_dim': 14, 'num_forms': 3, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 13, 'sturm_bound': 27, 'trace_bound': 1, 'trace_display': [-2, -4, -2, -4], 'traces': [13, -2, -4, 12, -2, -6, -4, -12, 7, 6, -2, -10, 0, 2, 0, 14, -8, -2, -4, -10, -18, -2, 0, 10, 25, 2, -22, -16, -10, 30, -10, -26, -12, 24, 2, 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-8, -6, -2, 178, -122, 186, 44, 52, 120, 0, 10, -220, -52, 2, 38, 88, 161, 380, 52, 150, -70, 130, 162, -20, 65, -76, -116, 290, -216, -110, -78, -94, -218, 44, -80, -416, -48, 70, 68, -48, 70, 224, 54, -68, 200, -244, -142, 88, -58, -230, -12, 50, 46, -246, -50, -132, 110, 70, -106, -150, 104, -296, -52, -116, -78, 264, 103, -98, 0, -84, -62, 102, -47, 72, -120, -212, 51, 150, -108, -32, 66, 104, 184, 0, 136, -218, -62, -94, 78, -216, 200, 78, -188, -12, -140, -50, -102, -14, -16, 126, -130, -166, -172, -42, -50, 266], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 138207
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 7, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '163.2.a.c', 'source_level': 163, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '163.2.a.c', 'target_level': 163, 'twist_class_label': '163.2.a.c', 'twist_class_level': 163, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 138208
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 7, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '163.2.a.c', 'source_level': 163, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1467.2.a.f', 'target_level': 1467, 'twist_class_label': '163.2.a.c', 'twist_class_level': 163, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 138209
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 7, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '163.2.a.c', 'source_level': 163, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2608.2.a.n', 'target_level': 2608, 'twist_class_label': '163.2.a.c', 'twist_class_level': 163, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 138210
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 7, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '163.2.a.c', 'source_level': 163, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4075.2.a.f', 'target_level': 4075, 'twist_class_label': '163.2.a.c', 'twist_class_level': 163, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 138211
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 7, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '163.2.a.c', 'source_level': 163, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '7987.2.a.h', 'target_level': 7987, 'twist_class_label': '163.2.a.c', 'twist_class_level': 163, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 428550
{'charpoly_factorization': [[[6, 4, -23, 0, 19, -5, -3, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 2}
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id: 428551
{'charpoly_factorization': [[[-2, 16, -39, 26, 13, -11, -1, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 3}
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id: 428552
{'charpoly_factorization': [[[24, -136, 199, -73, -44, 41, -11, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 5}
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id: 428553
{'charpoly_factorization': [[[-158, -136, 115, 104, -18, -21, 0, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 7}
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id: 428554
{'charpoly_factorization': [[[12, 20, -49, -34, 67, -20, -2, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 11}
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id: 428555
{'charpoly_factorization': [[[-334, 402, 311, -493, 149, 11, -10, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 13}
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id: 428556
{'charpoly_factorization': [[[-90, -4, 285, -224, -3, 47, -13, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 17}
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id: 428557
{'charpoly_factorization': [[[-962, -458, 723, 347, -101, -42, 5, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 19}
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id: 428558
{'charpoly_factorization': [[[-564, -1268, -21, 444, 26, -43, -2, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 23}
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id: 428559
{'charpoly_factorization': [[[83922, -6278, -12935, 1457, 572, -76, -7, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 29}
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id: 428560
{'charpoly_factorization': [[[-16738, 11218, 9235, -1059, -1057, -76, 11, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 31}
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id: 428561
{'charpoly_factorization': [[[1286, -12006, 2283, 6759, 260, -165, -3, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 37}
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id: 428562
{'charpoly_factorization': [[[30237, 32558, -3488, -5937, 1330, -4, -17, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 41}
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id: 428563
{'charpoly_factorization': [[[-31793, -822, 45395, 4939, -1518, -160, 10, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 43}
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id: 428564
{'charpoly_factorization': [[[2048493, 275450, -272340, 18017, 3416, -286, -11, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 47}
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id: 428565
{'charpoly_factorization': [[[-93987, 29177, 22024, -11908, 1719, 4, -18, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 53}
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id: 428566
{'charpoly_factorization': [[[-269034, 268342, -79867, 2481, 1960, -161, -11, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 59}
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id: 428567
{'charpoly_factorization': [[[12119, 36192, -52427, 11485, 954, -240, -4, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 61}
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id: 428568
{'charpoly_factorization': [[[-839836, 90584, 87051, -1207, -2287, -67, 18, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 67}
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id: 428569
{'charpoly_factorization': [[[-13023, -15133, 18433, 20635, -485, -319, 3, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 71}
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id: 428570
{'charpoly_factorization': [[[-2554, -3228, 5555, 1784, -471, -148, -2, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 73}
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id: 428571
{'charpoly_factorization': [[[1197688, -511720, -46789, 29485, -121, -353, 0, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 79}
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id: 428572
{'charpoly_factorization': [[[62745, 136717, -12542, -14646, 2945, -70, -18, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 83}
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id: 428573
{'charpoly_factorization': [[[2340, 26908, -4221, -4578, 1222, -5, -18, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 89}
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id: 428574
{'charpoly_factorization': [[[-8371133, 4271847, -597283, -13106, 7343, -240, -21, 1], 1]], 'hecke_orbit_code': 9007199288295587, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '163.2.a.c', 'level': 163, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 26021083
{'hecke_orbit_code': 9007199288295587, 'n': 1, 'trace_an': 7}
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id: 26021084
{'hecke_orbit_code': 9007199288295587, 'n': 2, 'trace_an': 3}
-
id: 26021085
{'hecke_orbit_code': 9007199288295587, 'n': 3, 'trace_an': 1}
-
id: 26021086
{'hecke_orbit_code': 9007199288295587, 'n': 4, 'trace_an': 5}
-
id: 26021087
{'hecke_orbit_code': 9007199288295587, 'n': 5, 'trace_an': 11}
-
id: 26021088
{'hecke_orbit_code': 9007199288295587, 'n': 6, 'trace_an': -3}
-
id: 26021089
{'hecke_orbit_code': 9007199288295587, 'n': 7, 'trace_an': 0}
-
id: 26021090
{'hecke_orbit_code': 9007199288295587, 'n': 8, 'trace_an': 3}
-
id: 26021091
{'hecke_orbit_code': 9007199288295587, 'n': 9, 'trace_an': 2}
-
id: 26021092
{'hecke_orbit_code': 9007199288295587, 'n': 10, 'trace_an': 1}
-
id: 26021093
{'hecke_orbit_code': 9007199288295587, 'n': 11, 'trace_an': 2}
-
id: 26021094
{'hecke_orbit_code': 9007199288295587, 'n': 12, 'trace_an': -4}
-
id: 26021095
{'hecke_orbit_code': 9007199288295587, 'n': 13, 'trace_an': 10}
-
id: 26021096
{'hecke_orbit_code': 9007199288295587, 'n': 14, 'trace_an': -1}
-
id: 26021097
{'hecke_orbit_code': 9007199288295587, 'n': 15, 'trace_an': -4}
-
id: 26021098
{'hecke_orbit_code': 9007199288295587, 'n': 16, 'trace_an': -3}
-
id: 26021099
{'hecke_orbit_code': 9007199288295587, 'n': 17, 'trace_an': 13}
-
id: 26021100
{'hecke_orbit_code': 9007199288295587, 'n': 18, 'trace_an': -4}
-
id: 26021101
{'hecke_orbit_code': 9007199288295587, 'n': 19, 'trace_an': -5}
-
id: 26021102
{'hecke_orbit_code': 9007199288295587, 'n': 20, 'trace_an': 4}
-
id: 26021103
{'hecke_orbit_code': 9007199288295587, 'n': 21, 'trace_an': -5}
-
id: 26021104
{'hecke_orbit_code': 9007199288295587, 'n': 22, 'trace_an': -11}
-
id: 26021105
{'hecke_orbit_code': 9007199288295587, 'n': 23, 'trace_an': 2}
-
id: 26021106
{'hecke_orbit_code': 9007199288295587, 'n': 24, 'trace_an': -7}
-
id: 26021107
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