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{'Nk2': 4992, 'analytic_conductor': 9.965330172255792, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [13, -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': [1248, 1, [703, 1093, 833, 769], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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': [[5, [8, -12, -2, 1]], [7, [16, -16, 0, 1]], [11, [-32, -16, 4, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816742624, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': True, 'label': '1248.2.a.o', 'level': 1248, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '1248.2.a.o', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(1+\\beta _{1})q^{5}+\\beta _{2}q^{7}+q^{9}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1248.2.a', 'trace_display': [0, -3, 2, 0], 'trace_hash': 2067620810783050144, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.842', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.120', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.362', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.476', 'prec': 17}, {'__RealLiteral__': 0, 'data': '238.587', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [3, 0, -3, 0, 2, 0, 0, 0, 3, 0, -4, 0, 3, 0, -2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 13, 0, -3, 0, 6, 0, 8, 0, 4, 0, -8, 0, 2, 0, -3, 0, 10, 0, -4, 0, 2, 0, 8, 0, 11, 0, -6, 0, 14, 0, 16, 0, 0, 0, -20, 0, 2, 0, 0, 0, 2, 0, 16, 0, 0, 0, 8, 0, 22, 0, -13, 0, 24, 0, 36, 0, 3, 0, -4, 0, 4, 0, -6, 0, -6, 0, 0, 0, -8, 0, 8, 0, -2, 0, -4, 0, 6, 0, 28, 0, 8, 0, -20, 0, -6, 0, -2, 0, -10, 0, 16, 0, 3, 0, 0, 0, 15, 0, -10, 0, 36, 0, 36, 0, 4, 0, 4, 0, -32, 0, -2, 0, -6, 0, -20, 0, -8, 0, -4, 0, 4, 0, -11, 0, -6, 0, 8, 0, 6, 0, -40, 0, 18, 0, -14, 0, -64, 0, 8, 0, -16, 0, -8, 0, 3, 0, 0, 0, 22, 0, 48, 0, 20, 0, -44, 0, -14, 0, -2, 0, -52, 0, -8, 0, 0, 0, 0, 0, -26, 0, -2, 0, -6, 0, -4, 0, -16, 0, 0, 0, -20, 0, 0, 0, -24, 0, 36, 0, -8, 0, -40, 0, -16, 0, -22, 0, 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mf_hecke_nf • Show schema
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-15], [-36, -10, 14], [4, 16, 18], [-6, 2, 14], [-17, -3, 5], [-68, 6, 4], [36, 0, 0], [18, 12, 16], [47, 1, -9], [-4, 4, 8], [-22, -8, -4], [10, 16, 0], [32, 18, -6], [-49, -5, 0], [15, 3, 16], [-8, -8, -11], [-27, -19, 4], [-8, 16, 1], [5, -1, 9], [32, 0, 7], [-4, 2, -6], [-28, -4, -1], [-42, -6, 10], [20, -2, 4], [31, 19, -8], [7, 1, 1], [8, -4, 0], [-57, -3, -11], [-40, 10, 6], [-32, -8, -1], [-30, -8, -8], [80, -4, 0], [1, 1, -20], [16, -10, 12], [2, 0, 4], [28, -12, -3], [-59, 13, 4], [-3, -19, -12], [-12, 16, 4], [-46, -4, -16], [9, 1, 16], [-10, 18, 17], [-45, -11, -3], [-14, -16, -16], [40, -14, -8], [32, 12, -12], [10, -6, -14], [-42, 4, 8], [12, 14, -8], [-41, -3, -17], [-52, -8, -12], [-15, 9, -4], [-16, 16, 6], [18, 0, 16], [12, 2, 8], [-21, -23, -5], [-20, 0, 10], [-50, -4, -4], [15, 3, 8], [46, 14, 6], [-3, -19, -8], [-16, 16, 1], [2, -10, -16]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 63050394816742624, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0], [1, 1, 0], [5, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [-1, 2, 0], [-4, -2, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '1248.2.a.o', 'level': 1248, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 4, 2], [[[2, 1], [3, -1], [13, 1]], 3, 2], [[[2, 1], [3, -1], [13, -1]], 2, 2], [[[2, -1], [3, -1], [13, 1]], 3, 2], [[[2, -1], [3, 1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [13, -1]], 4, 2], [[[2, -1], [3, 1], [13, 1]], 3, 2], [[[2, 1], [3, 1], [13, 1]], 3, 2]], 'ALdims': [3, 4, 3, 2, 3, 2, 3, 4], 'Nk2': 4992, 'analytic_conductor': 9.965330172255792, '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': [1248, 1, [703, 1093, 833, 769], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 209, 'dim': 24, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33555680, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3], 'label': '1248.2.a', 'level': 1248, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 240, 'mf_new_dim': 24, 'num_forms': 16, 'plus_dim': 10, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 448, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 80, 0, 0, 0, 24, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 24, 0, 0, 0, -48, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, -64, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, -48, 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mf_twists_nf • Show schema
Hide schema
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id: 683746
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '1248.2.a.o', 'source_level': 1248, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '1248.2.a.o', 'target_level': 1248, 'twist_class_label': '1248.2.a.o', 'twist_class_level': 1248, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 683747
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '1248.2.a.o', 'source_level': 1248, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '1248.2.a.p', 'target_level': 1248, 'twist_class_label': '1248.2.a.o', 'twist_class_level': 1248, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 683748
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '1248.2.a.o', 'source_level': 1248, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '2496.2.a.bk', 'target_level': 2496, 'twist_class_label': '1248.2.a.o', 'twist_class_level': 1248, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 683749
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '1248.2.a.o', 'source_level': 1248, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '2496.2.a.bl', 'target_level': 2496, 'twist_class_label': '1248.2.a.o', 'twist_class_level': 1248, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 683750
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '1248.2.a.o', 'source_level': 1248, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3744.2.a.z', 'target_level': 3744, 'twist_class_label': '1248.2.a.o', 'twist_class_level': 1248, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 683751
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '1248.2.a.o', 'source_level': 1248, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3744.2.a.ba', 'target_level': 3744, 'twist_class_label': '1248.2.a.o', 'twist_class_level': 1248, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 683752
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '1248.2.a.o', 'source_level': 1248, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 76, 'target_is_minimal': False, 'target_label': '7488.2.a.cx', 'target_level': 7488, 'twist_class_label': '1248.2.a.o', 'twist_class_level': 1248, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 683753
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '1248.2.a.o', 'source_level': 1248, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 77, 'target_is_minimal': False, 'target_label': '7488.2.a.cy', 'target_level': 7488, 'twist_class_label': '1248.2.a.o', 'twist_class_level': 1248, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1798700
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394816742624, 'p': 2}
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id: 1798701
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 63050394816742624, 'p': 3}
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id: 1798702
{'charpoly_factorization': [[[8, -12, -2, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 5}
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id: 1798703
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 7}
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id: 1798704
{'charpoly_factorization': [[[-32, -16, 4, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 11}
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id: 1798705
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 63050394816742624, 'p': 13}
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id: 1798706
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 63050394816742624, 'p': 17}
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id: 1798707
{'charpoly_factorization': [[[-16, -16, 0, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 19}
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id: 1798708
{'charpoly_factorization': [[[-128, -64, 0, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 23}
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id: 1798709
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 63050394816742624, 'p': 29}
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id: 1798710
{'charpoly_factorization': [[[272, -32, -8, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 31}
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id: 1798711
{'charpoly_factorization': [[[40, -52, -2, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 37}
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id: 1798712
{'charpoly_factorization': [[[8, 20, -10, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 41}
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id: 1798713
{'charpoly_factorization': [[[-64, -80, 4, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 43}
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id: 1798714
{'charpoly_factorization': [[[32, 0, -8, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 47}
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id: 1798715
{'charpoly_factorization': [[[152, 12, -14, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 53}
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id: 1798716
{'charpoly_factorization': [[[-32, 96, 20, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 59}
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id: 1798717
{'charpoly_factorization': [[[-536, -148, -2, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 61}
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id: 1798718
{'charpoly_factorization': [[[1040, -64, -16, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 67}
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id: 1798719
{'charpoly_factorization': [[[160, -16, -8, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 71}
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id: 1798720
{'charpoly_factorization': [[[-8, 108, -22, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 73}
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id: 1798721
{'charpoly_factorization': [[[-12, 1], 3]], 'hecke_orbit_code': 63050394816742624, 'p': 79}
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id: 1798722
{'charpoly_factorization': [[[32, -32, 4, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 83}
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id: 1798723
{'charpoly_factorization': [[[-216, -108, 6, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 89}
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id: 1798724
{'charpoly_factorization': [[[-40, -52, 2, 1], 1]], 'hecke_orbit_code': 63050394816742624, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '1248.2.a.o', 'level': 1248, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 230126000
{'hecke_orbit_code': 63050394816742624, 'n': 1, 'trace_an': 3}
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id: 230126001
{'hecke_orbit_code': 63050394816742624, 'n': 2, 'trace_an': 0}
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id: 230126002
{'hecke_orbit_code': 63050394816742624, 'n': 3, 'trace_an': -3}
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id: 230126003
{'hecke_orbit_code': 63050394816742624, 'n': 4, 'trace_an': 0}
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id: 230126004
{'hecke_orbit_code': 63050394816742624, 'n': 5, 'trace_an': 2}
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id: 230126005
{'hecke_orbit_code': 63050394816742624, 'n': 6, 'trace_an': 0}
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id: 230126006
{'hecke_orbit_code': 63050394816742624, 'n': 7, 'trace_an': 0}
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id: 230126007
{'hecke_orbit_code': 63050394816742624, 'n': 8, 'trace_an': 0}
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id: 230126008
{'hecke_orbit_code': 63050394816742624, 'n': 9, 'trace_an': 3}
-
id: 230126009
{'hecke_orbit_code': 63050394816742624, 'n': 10, 'trace_an': 0}
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id: 230126010
{'hecke_orbit_code': 63050394816742624, 'n': 11, 'trace_an': -4}
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id: 230126011
{'hecke_orbit_code': 63050394816742624, 'n': 12, 'trace_an': 0}
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id: 230126012
{'hecke_orbit_code': 63050394816742624, 'n': 13, 'trace_an': 3}
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id: 230126013
{'hecke_orbit_code': 63050394816742624, 'n': 14, 'trace_an': 0}
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id: 230126014
{'hecke_orbit_code': 63050394816742624, 'n': 15, 'trace_an': -2}
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id: 230126015
{'hecke_orbit_code': 63050394816742624, 'n': 16, 'trace_an': 0}
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id: 230126016
{'hecke_orbit_code': 63050394816742624, 'n': 17, 'trace_an': 6}
-
id: 230126017
{'hecke_orbit_code': 63050394816742624, 'n': 18, 'trace_an': 0}
-
id: 230126018
{'hecke_orbit_code': 63050394816742624, 'n': 19, 'trace_an': 0}
-
id: 230126019
{'hecke_orbit_code': 63050394816742624, 'n': 20, 'trace_an': 0}
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id: 230126020
{'hecke_orbit_code': 63050394816742624, 'n': 21, 'trace_an': 0}
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id: 230126021
{'hecke_orbit_code': 63050394816742624, 'n': 22, 'trace_an': 0}
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id: 230126022
{'hecke_orbit_code': 63050394816742624, 'n': 23, 'trace_an': 0}
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id: 230126023
{'hecke_orbit_code': 63050394816742624, 'n': 24, 'trace_an': 0}
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