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{'Nk2': 8100, 'analytic_conductor': 16.169706409309278, 'analytic_rank': 1, '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': 16, 'hecke_orbit_code': 67553994444113897, '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.p', '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}+\\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': 1094070565887503324, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', '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, 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mf_hecke_nf • Show schema
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2, -29, 1]], 'char_orbit_index': 1, 'field_poly': [3, 5, -4, -2, 1], 'hecke_orbit_code': 67553994444113897, '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.p', '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: 861418
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 861419
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 861420
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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: 861421
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 861422
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 861423
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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: 861424
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 861425
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 861426
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 861427
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 861428
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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: 861429
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2025.2.a.p', '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: 2373900
{'charpoly_factorization': [[[3, -5, -4, 2, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 2}
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id: 2373901
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67553994444113897, 'p': 3}
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id: 2373902
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67553994444113897, 'p': 5}
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id: 2373903
{'charpoly_factorization': [[[-9, -24, -12, 1, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 7}
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id: 2373904
{'charpoly_factorization': [[[-9, -41, -25, -1, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 11}
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id: 2373905
{'charpoly_factorization': [[[107, 5, -30, -2, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 13}
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id: 2373906
{'charpoly_factorization': [[[-303, -110, 20, 11, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 17}
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id: 2373907
{'charpoly_factorization': [[[-25, 80, -27, -2, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 19}
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id: 2373908
{'charpoly_factorization': [[[-243, -9, 57, 15, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 23}
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id: 2373909
{'charpoly_factorization': [[[-129, -142, -40, 1, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 29}
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id: 2373910
{'charpoly_factorization': [[[243, -27, -42, 4, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 31}
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id: 2373911
{'charpoly_factorization': [[[-647, -503, -99, 1, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 37}
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id: 2373912
{'charpoly_factorization': [[[-207, 161, -25, -5, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 41}
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id: 2373913
{'charpoly_factorization': [[[-673, -586, -48, 10, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 43}
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id: 2373914
{'charpoly_factorization': [[[-381, 70, 107, 20, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 47}
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id: 2373915
{'charpoly_factorization': [[[-471, -179, 86, 20, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 53}
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id: 2373916
{'charpoly_factorization': [[[-2313, -914, 2, 17, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 59}
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id: 2373917
{'charpoly_factorization': [[[-1, -91, -3, 13, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 61}
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id: 2373918
{'charpoly_factorization': [[[243, 300, 36, -17, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 67}
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id: 2373919
{'charpoly_factorization': [[[381, 263, -40, -8, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 71}
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id: 2373920
{'charpoly_factorization': [[[113, -241, -96, -2, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 73}
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id: 2373921
{'charpoly_factorization': [[[207, -69, -33, 7, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 79}
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id: 2373922
{'charpoly_factorization': [[[729, 945, 288, 30, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 83}
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id: 2373923
{'charpoly_factorization': [[[2025, 405, -99, -9, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 89}
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id: 2373924
{'charpoly_factorization': [[[-953, -161, 81, 19, 1], 1]], 'hecke_orbit_code': 67553994444113897, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '2025.2.a.p', 'level': 2025, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 234148000
{'hecke_orbit_code': 67553994444113897, 'n': 1, 'trace_an': 4}
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id: 234148001
{'hecke_orbit_code': 67553994444113897, 'n': 2, 'trace_an': -2}
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id: 234148002
{'hecke_orbit_code': 67553994444113897, 'n': 3, 'trace_an': 0}
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id: 234148003
{'hecke_orbit_code': 67553994444113897, 'n': 4, 'trace_an': 4}
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id: 234148004
{'hecke_orbit_code': 67553994444113897, 'n': 5, 'trace_an': 0}
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id: 234148005
{'hecke_orbit_code': 67553994444113897, 'n': 6, 'trace_an': 0}
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id: 234148006
{'hecke_orbit_code': 67553994444113897, 'n': 7, 'trace_an': -1}
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id: 234148007
{'hecke_orbit_code': 67553994444113897, 'n': 8, 'trace_an': -9}
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id: 234148008
{'hecke_orbit_code': 67553994444113897, 'n': 9, 'trace_an': 0}
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id: 234148009
{'hecke_orbit_code': 67553994444113897, 'n': 10, 'trace_an': 0}
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id: 234148010
{'hecke_orbit_code': 67553994444113897, 'n': 11, 'trace_an': 1}
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id: 234148011
{'hecke_orbit_code': 67553994444113897, 'n': 12, 'trace_an': 0}
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id: 234148012
{'hecke_orbit_code': 67553994444113897, 'n': 13, 'trace_an': 2}
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id: 234148013
{'hecke_orbit_code': 67553994444113897, 'n': 14, 'trace_an': -3}
-
id: 234148014
{'hecke_orbit_code': 67553994444113897, 'n': 15, 'trace_an': 0}
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