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{'Nk2': 8100, 'analytic_conductor': 16.169706409309278, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [2025, 1, [326, 1702], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 11661, 'field_disc_factorization': [[3, 1], [13, 2], [23, 1]], 'field_poly': [3, 5, -4, -2, 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, [3, 5, -4, -2, 1]], [7, [-9, 24, -12, -1, 1]], [11, [-9, -41, -25, -1, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717818857, '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': '2025.2.a.z', 'level': 2025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '225.2.e.c', 'nf_label': '4.4.11661.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+(1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2025.2.a', 'trace_display': [2, 0, 0, 1], 'trace_hash': 79862399525502739, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.861', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '40.672', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '690.339', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [4, 2, 0, 4, 0, 0, 1, 9, 0, 0, 1, 0, -2, -3, 0, 4, 11, 0, 2, 0, 0, -3, 15, 0, 0, 10, 0, 4, -1, 0, -4, 10, 0, 9, 0, 0, 1, 23, 0, 0, 5, 0, 10, -22, 0, 0, 20, 0, -3, 0, 0, -17, 20, 0, 0, 30, 0, 18, -17, 0, -13, -6, 0, 19, 0, 0, -17, 34, 0, 0, 8, 0, -2, -40, 0, 11, 12, 0, -7, 0, 0, -12, 30, 0, 0, 34, 0, -9, 9, 0, -17, -12, 0, 3, 0, 0, 19, 13, 0, 0, 0, 0, 7, -36, 0, 21, 15, 0, -22, 0, 0, 40, 5, 0, 0, 37, 0, -9, -9, 0, 7, -25, 0, 5, 0, 0, -8, 15, 0, 0, 15, 0, -13, -45, 0, 36, 12, 0, 14, 0, 0, 15, 35, 0, 0, 25, 0, -59, 23, 0, -1, 0, 0, -12, 0, 0, -2, 0, 0, 0, -24, 0, 16, 10, 0, -18, 39, 0, 12, 0, 0, 52, 3, 0, 0, 14, 0, 27, -8, 0, -16, -30, 0, -21, 0, 0, -48, 13, 0, 0, -16, 0, 16, -16, 0, -21, 21, 0, 23, 0, 0, -48, 24, 0, 0, 29, 0, -2, 13, 0, -4, -8, 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mf_hecke_nf • Show schema
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1, 'field_poly': [3, 5, -4, -2, 1], 'hecke_orbit_code': 112589990717818857, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 1, 1, 0], [2, 5, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -1, 1, 0], [1, -4, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2025.2.a.z', 'level': 2025, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 16, 4], [[[3, 1], [5, 1]], 16, 9], [[[3, 1], [5, -1]], 20, 6], [[[3, -1], [5, 1]], 18, 7]], 'ALdims': [16, 20, 18, 16], 'Nk2': 8100, 'analytic_conductor': 16.169706409309278, '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': [2025, 1, [326, 1702], [1, 1]], 'conrey_index': 1, 'cusp_dim': 235, 'dim': 70, 'eis_dim': 71, 'eis_new_dim': 12, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33556457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '2025.2.a', 'level': 2025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 306, 'mf_new_dim': 82, 'num_forms': 26, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 70, 'sturm_bound': 540, 'trace_bound': 11, 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mf_twists_nf • Show schema
Hide schema
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id: 861522
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '225.2.e.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 861523
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '225.2.e.e', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 861524
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '225.2.k.c', 'target_level': 225, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 861525
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.e.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 861526
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.2.e.e', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 861527
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '675.2.k.c', 'target_level': 675, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 861528
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2025.2.a.p', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 861529
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2025.2.a.q', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 861530
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2025.2.a.y', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 861531
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '2025.2.a.z', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 861532
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2025.2.b.n', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 861533
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '2025.2.a.z', 'source_level': 2025, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2025.2.b.o', 'target_level': 2025, 'twist_class_label': '225.2.e.c', 'twist_class_level': 225, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2374150
{'charpoly_factorization': [[[3, 5, -4, -2, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 2}
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id: 2374151
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 112589990717818857, 'p': 3}
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id: 2374152
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 112589990717818857, 'p': 5}
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id: 2374153
{'charpoly_factorization': [[[-9, 24, -12, -1, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 7}
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id: 2374154
{'charpoly_factorization': [[[-9, -41, -25, -1, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 11}
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id: 2374155
{'charpoly_factorization': [[[107, -5, -30, 2, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 13}
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id: 2374156
{'charpoly_factorization': [[[-303, 110, 20, -11, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 17}
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id: 2374157
{'charpoly_factorization': [[[-25, 80, -27, -2, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 19}
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id: 2374158
{'charpoly_factorization': [[[-243, 9, 57, -15, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 23}
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id: 2374159
{'charpoly_factorization': [[[-129, -142, -40, 1, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 29}
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id: 2374160
{'charpoly_factorization': [[[243, -27, -42, 4, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 31}
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id: 2374161
{'charpoly_factorization': [[[-647, 503, -99, -1, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 37}
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id: 2374162
{'charpoly_factorization': [[[-207, 161, -25, -5, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 41}
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id: 2374163
{'charpoly_factorization': [[[-673, 586, -48, -10, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 43}
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id: 2374164
{'charpoly_factorization': [[[-381, -70, 107, -20, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 47}
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id: 2374165
{'charpoly_factorization': [[[-471, 179, 86, -20, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 53}
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id: 2374166
{'charpoly_factorization': [[[-2313, -914, 2, 17, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 59}
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id: 2374167
{'charpoly_factorization': [[[-1, -91, -3, 13, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 61}
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id: 2374168
{'charpoly_factorization': [[[243, -300, 36, 17, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 67}
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id: 2374169
{'charpoly_factorization': [[[381, 263, -40, -8, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 71}
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id: 2374170
{'charpoly_factorization': [[[113, 241, -96, 2, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 73}
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id: 2374171
{'charpoly_factorization': [[[207, -69, -33, 7, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 79}
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id: 2374172
{'charpoly_factorization': [[[729, -945, 288, -30, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 83}
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id: 2374173
{'charpoly_factorization': [[[2025, 405, -99, -9, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 89}
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id: 2374174
{'charpoly_factorization': [[[-953, 161, 81, -19, 1], 1]], 'hecke_orbit_code': 112589990717818857, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '2025.2.a.z', 'level': 2025, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 258626000
{'hecke_orbit_code': 112589990717818857, 'n': 1, 'trace_an': 4}
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id: 258626001
{'hecke_orbit_code': 112589990717818857, 'n': 2, 'trace_an': 2}
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id: 258626002
{'hecke_orbit_code': 112589990717818857, 'n': 3, 'trace_an': 0}
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id: 258626003
{'hecke_orbit_code': 112589990717818857, 'n': 4, 'trace_an': 4}
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id: 258626004
{'hecke_orbit_code': 112589990717818857, 'n': 5, 'trace_an': 0}
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id: 258626005
{'hecke_orbit_code': 112589990717818857, 'n': 6, 'trace_an': 0}
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id: 258626006
{'hecke_orbit_code': 112589990717818857, 'n': 7, 'trace_an': 1}
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id: 258626007
{'hecke_orbit_code': 112589990717818857, 'n': 8, 'trace_an': 9}
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id: 258626008
{'hecke_orbit_code': 112589990717818857, 'n': 9, 'trace_an': 0}
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id: 258626009
{'hecke_orbit_code': 112589990717818857, 'n': 10, 'trace_an': 0}
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id: 258626010
{'hecke_orbit_code': 112589990717818857, 'n': 11, 'trace_an': 1}
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id: 258626011
{'hecke_orbit_code': 112589990717818857, 'n': 12, 'trace_an': 0}
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