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mf_newforms • Show schema
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{'Nk2': 14580, 'analytic_conductor': 44.1418028263681, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': -1, 'char_values': [1620, 6, [811, 1541, 1297], [6, 5, 6]], 'cm_discs': [], 'conrey_index': 701, 'conrey_indexes': [701, 1241], 'dim': 8, 'field_disc': 12960000, 'field_disc_factorization': [[2, 8], [3, 4], [5, 4]], 'field_poly': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [400, -200, 120, 10, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015360632489556, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1296, 'hecke_ring_index_factorization': [[2, 4], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1620.3.o.e', 'level': 1620, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '540.3.g.d', 'nf_label': '8.0.12960000.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{4})q^{5}+(-5+5\\beta _{2}+\\beta _{6}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1620.3.o', 'trace_display': [0, 0, 0, -20], 'trace_hash': 370904473311450404, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.508', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.386', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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0, -12, 120, 0, 0, -12], [-491, 0, 491, 0, 0, 0, -33, 0], [0, 0, -3095, 0, 0, -105, 0, 0], [0, 0, 0, 313, 1200, 0, 0, 313], [-838, 0, 0, 0, 0, -68, 68, 0]], 'char_orbit_index': 15, 'field_poly': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'hecke_orbit_code': 18015360632489556, 'hecke_ring_character_values': [[811, [1, 0, 0, 0, 0, 0, 0, 0]], [1541, [0, 0, 1, 0, 0, 0, 0, 0]], [1297, [1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 8, 8, 8, 2, 8, 8, 8], 'hecke_ring_inverse_denominators': [1, 6, 6, 3, 2, 6, 3, 6], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 1, 0, 0, 0, 0], [0, 0, 9, 0, 0, 1, 0, 0], [0, 0, 0, 2, 3, 0, 0, 2], [-7, 0, 7, 0, 0, 0, 1, 0], [0, -15, 0, 0, 15, 0, 0, 11], [-27, 0, 0, 0, 0, -4, 4, 0], [0, -39, 0, -29, 0, 0, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 29, 0, 0, 0, 0, 0, 1], [-1, 0, 24, 0, -8, 0, 3, 0], [0, -39, 0, 0, 0, 0, 0, -3], [0, -1, 0, 22, 0, -8, 0, 3], [9, 0, -168, 0, 72, 0, -27, 0], [63, 0, -168, 0, 72, 0, -21, 0], [0, 45, 0, -120, 0, 48, 0, -15]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1620.3.o.e', 'level': 1620, 'maxp': 1999, 'weight': 3}
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{'Nk2': 14580, 'analytic_conductor': 44.1418028263681, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': -1, 'char_values': [1620, 6, [811, 1541, 1297], [6, 5, 6]], 'conrey_index': 701, 'cusp_dim': 1224, 'dim': 64, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 962123007572, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 32], 'label': '1620.3.o', 'level': 1620, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1368, 'mf_new_dim': 64, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 32, 'sturm_bound': 972, 'trace_bound': 7, 'trace_display': [0, 0, 0, -10], 'traces': [64, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, -402, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 777047
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '540.3.g.d', 'target_level': 540, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 777048
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '540.3.g.d', 'target_level': 540, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777049
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1620.3.o.e', 'target_level': 1620, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 777050
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1620.3.o.e', 'target_level': 1620, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 777051
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1620.3.o.e', 'target_level': 1620, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 777052
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1620.3.o.e', 'target_level': 1620, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777053
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2160.3.l.e', 'target_level': 2160, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 777054
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2160.3.l.e', 'target_level': 2160, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777055
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2700.3.b.g', 'target_level': 2700, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 777056
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2700.3.b.g', 'target_level': 2700, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 777057
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2700.3.b.l', 'target_level': 2700, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 777058
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2700.3.b.l', 'target_level': 2700, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 777059
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2700.3.g.n', 'target_level': 2700, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777060
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 8, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1620.3.o.e', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2700.3.g.n', 'target_level': 2700, 'twist_class_label': '540.3.g.d', 'twist_class_level': 540, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2084725
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18015360632489556, 'p': 2}
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id: 2084726
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18015360632489556, 'p': 3}
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id: 2084727
{'charpoly_factorization': [[[25, 0, -5, 0, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 5}
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id: 2084728
{'charpoly_factorization': [[[400, -200, 120, 10, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 7}
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id: 2084729
{'charpoly_factorization': [[[1679616, 0, -139968, 0, 10368, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 18015360632489556, 'p': 11}
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id: 2084730
{'charpoly_factorization': [[[16, -56, 192, -14, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 13}
-
id: 2084731
{'charpoly_factorization': [[[225, 0, 1], 4]], 'hecke_orbit_code': 18015360632489556, 'p': 17}
-
id: 2084732
{'charpoly_factorization': [[[-179, 2, 1], 4]], 'hecke_orbit_code': 18015360632489556, 'p': 19}
-
id: 2084733
{'charpoly_factorization': [[[4640470641, 0, -84606282, 0, 1474443, 0, -1242, 0, 1], 1]], 'hecke_orbit_code': 18015360632489556, 'p': 23}
-
id: 2084734
{'charpoly_factorization': [[[1679616, 0, -139968, 0, 10368, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 18015360632489556, 'p': 29}
-
id: 2084735
{'charpoly_factorization': [[[17161, 1834, 327, -14, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 31}
-
id: 2084736
{'charpoly_factorization': [[[-1364, 32, 1], 4]], 'hecke_orbit_code': 18015360632489556, 'p': 37}
-
id: 2084737
{'charpoly_factorization': [[[1187960484096, 0, -2628925632, 0, 4727808, 0, -2412, 0, 1], 1]], 'hecke_orbit_code': 18015360632489556, 'p': 41}
-
id: 2084738
{'charpoly_factorization': [[[1860496, -79112, 4728, 58, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 43}
-
id: 2084739
{'charpoly_factorization': [[[1679616, 0, -839808, 0, 418608, 0, -648, 0, 1], 1]], 'hecke_orbit_code': 18015360632489556, 'p': 47}
-
id: 2084740
{'charpoly_factorization': [[[20169081, 0, 9018, 0, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 53}
-
id: 2084741
{'charpoly_factorization': [[[23255696077056, 0, -28992364992, 0, 31321728, 0, -6012, 0, 1], 1]], 'hecke_orbit_code': 18015360632489556, 'p': 59}
-
id: 2084742
{'charpoly_factorization': [[[41977441, 12958, 6483, -2, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 61}
-
id: 2084743
{'charpoly_factorization': [[[196, 14, 1], 4]], 'hecke_orbit_code': 18015360632489556, 'p': 67}
-
id: 2084744
{'charpoly_factorization': [[[32400, 0, 8460, 0, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 71}
-
id: 2084745
{'charpoly_factorization': [[[-356, 14, 1], 4]], 'hecke_orbit_code': 18015360632489556, 'p': 73}
-
id: 2084746
{'charpoly_factorization': [[[3964081, 266794, 19947, -134, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 79}
-
id: 2084747
{'charpoly_factorization': [[[11838693626789121, 0, -2743863680898, 0, 527141763, 0, -25218, 0, 1], 1]], 'hecke_orbit_code': 18015360632489556, 'p': 83}
-
id: 2084748
{'charpoly_factorization': [[[167029776, 0, 26172, 0, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 89}
-
id: 2084749
{'charpoly_factorization': [[[30976, -704, 192, 4, 1], 2]], 'hecke_orbit_code': 18015360632489556, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 15, 'hecke_orbit': 5, 'label': '1620.3.o.e', 'level': 1620, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 160689000
{'hecke_orbit_code': 18015360632489556, 'n': 1, 'trace_an': 8}
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id: 160689001
{'hecke_orbit_code': 18015360632489556, 'n': 2, 'trace_an': 0}
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id: 160689002
{'hecke_orbit_code': 18015360632489556, 'n': 3, 'trace_an': 0}
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id: 160689003
{'hecke_orbit_code': 18015360632489556, 'n': 4, 'trace_an': 0}
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id: 160689004
{'hecke_orbit_code': 18015360632489556, 'n': 5, 'trace_an': 0}
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id: 160689005
{'hecke_orbit_code': 18015360632489556, 'n': 6, 'trace_an': 0}
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id: 160689006
{'hecke_orbit_code': 18015360632489556, 'n': 7, 'trace_an': -20}
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id: 160689007
{'hecke_orbit_code': 18015360632489556, 'n': 8, 'trace_an': 0}
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id: 160689008
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