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mf_newforms • Show schema
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{'Nk2': 4056, 'analytic_conductor': 8.096830764957831, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1014, 3, [677, 847], [3, 2]], 'cm_discs': [], 'conrey_index': 529, 'conrey_indexes': [529, 991], 'dim': 6, 'field_disc': -64827, 'field_disc_factorization': [[-1, 1], [3, 3], [7, 4]], 'field_poly': [1, -2, 5, 0, 3, -1, 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': [[5, [29, -16, -1, 1]], [7, [1, -20, 409, 182, 61, 9, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539870812537846, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1014.2.e.l', 'level': 1014, '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': '1014.2.a.l', 'nf_label': '6.0.64827.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{5})q^{2}+(1-\\beta _{5})q^{3}-\\beta _{5}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1014.2.e', 'trace_display': [-3, 3, 2, -9], 'trace_hash': 2299030113616744898, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.405', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.842', 'prec': 17}, {'__RealLiteral__': 0, 'data': '115.306', 'prec': 24}, {'__RealLiteral__': 0, 'data': '99.350', 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mf_hecke_nf • Show schema
Hide schema
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[-40, 0, 30, -35, 0, 0], [0, -5, 5, -21, -21, -1], [0, 6, -6, -6, -6, 14], [-34, 33, 0, 0, 40, 34], [0, 27, -27, 37, 37, -3], [-40, -14, 0, 0, -16, 40], [0, -26, 26, 19, 19, 30], [0, -48, 48, -30, -30, -48], [-26, 0, 7, 28, 0, 0], [14, 0, -20, 5, 0, 0], [42, 19, 0, 0, -12, -42], [15, 15, 0, 0, -27, -15], [34, -38, 0, 0, -12, -34], [0, 19, -19, 27, 27, 7], [-28, 0, 14, 17, 0, 0], [74, -19, 0, 0, -10, -74]], 'char_orbit_index': 5, 'field_poly': [1, -2, 5, 0, 3, -1, 1], 'hecke_orbit_code': 49539870812537846, 'hecke_ring_character_values': [[677, [1, 0, 0, 0, 0, 0]], [847, [0, 0, 0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 13, 13, 13, 13], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 1, -1, 1, 1, -1], [0, 0, -3, 1, 0, 0], [-2, -4, 0, 0, -3, 2], [0, -9, 9, -4, -4, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [6, -2, 5, -9, 3, -1], [18, -6, 15, -14, 9, -3], [-2, -34, -6, -10, -1, -4], [10, -25, -9, -15, 5, -6]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1014.2.e.l', 'level': 1014, 'maxp': 1999, 'weight': 2}
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{'Nk2': 4056, 'analytic_conductor': 8.096830764957831, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1014, 3, [677, 847], [3, 2]], 'conrey_index': 529, 'cusp_dim': 308, 'dim': 52, 'eis_dim': 112, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 274911462390, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '1014.2.e', 'level': 1014, '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': 420, 'mf_new_dim': 52, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 26, 'sturm_bound': 364, 'trace_bound': 5, 'trace_display': [-2, 0, -4, 0], 'traces': [52, -2, 0, -26, -4, 0, 0, 4, -26, -2, 8, 0, 0, 8, 4, -26, -2, 4, 0, 2, -8, -12, -8, 0, 72, 0, 0, 0, -18, -4, 16, -2, 4, 4, 0, -26, -18, 8, 0, 4, 2, -4, -8, -16, 2, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 620265
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1014.2.a.l', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 620266
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '1014.2.a.n', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 620267
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1014.2.b.f', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 620268
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1014.2.e.l', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 620269
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1014.2.e.l', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 620270
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1014.2.e.n', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 620271
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1014.2.e.n', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 620272
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.i.h', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 620273
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 9, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1014.2.i.h', 'target_level': 1014, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 620274
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3042.2.a.ba', 'target_level': 3042, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 620275
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '3042.2.a.bh', 'target_level': 3042, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 620276
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3042.2.b.o', 'target_level': 3042, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 620277
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 62, 'target_is_minimal': False, 'target_label': '8112.2.a.cj', 'target_level': 8112, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 620278
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1014.2.e.l', 'source_level': 1014, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 65, 'target_is_minimal': False, 'target_label': '8112.2.a.cm', 'target_level': 8112, 'twist_class_label': '1014.2.a.l', 'twist_class_level': 1014, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1599675
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 49539870812537846, 'p': 2}
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id: 1599676
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 49539870812537846, 'p': 3}
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id: 1599677
{'charpoly_factorization': [[[29, -16, -1, 1], 2]], 'hecke_orbit_code': 49539870812537846, 'p': 5}
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id: 1599678
{'charpoly_factorization': [[[1, -20, 409, 182, 61, 9, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 7}
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id: 1599679
{'charpoly_factorization': [[[1, -8, 59, -42, 33, 5, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 11}
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id: 1599680
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 49539870812537846, 'p': 13}
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id: 1599681
{'charpoly_factorization': [[[64, 96, 208, -112, 52, -8, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 17}
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id: 1599682
{'charpoly_factorization': [[[4096, -2048, 1280, 0, 48, -4, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 19}
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id: 1599683
{'charpoly_factorization': [[[3136, 1568, 784, 112, 28, 0, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 23}
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id: 1599684
{'charpoly_factorization': [[[841, -696, 895, 322, 97, 11, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 29}
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id: 1599685
{'charpoly_factorization': [[[125, -50, -5, 1], 2]], 'hecke_orbit_code': 49539870812537846, 'p': 31}
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id: 1599686
{'charpoly_factorization': [[[64, -352, 2000, 336, 108, -8, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 37}
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id: 1599687
{'charpoly_factorization': [[[53824, 14848, 4560, 336, 68, 2, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 41}
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id: 1599688
{'charpoly_factorization': [[[10816, -2080, 1648, 448, 124, 12, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 43}
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id: 1599689
{'charpoly_factorization': [[[64, -32, -4, 1], 2]], 'hecke_orbit_code': 49539870812537846, 'p': 47}
-
id: 1599690
{'charpoly_factorization': [[[-43, -36, -5, 1], 2]], 'hecke_orbit_code': 49539870812537846, 'p': 53}
-
id: 1599691
{'charpoly_factorization': [[[27889, -6012, 2131, -154, 61, -5, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 59}
-
id: 1599692
{'charpoly_factorization': [[[107584, 49856, 15888, 2688, 332, 22, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 61}
-
id: 1599693
{'charpoly_factorization': [[[10816, 1664, 880, 112, 52, 6, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 67}
-
id: 1599694
{'charpoly_factorization': [[[64, 640, 6544, -1456, 244, -18, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 71}
-
id: 1599695
{'charpoly_factorization': [[[-13, -30, 13, 1], 2]], 'hecke_orbit_code': 49539870812537846, 'p': 73}
-
id: 1599696
{'charpoly_factorization': [[[-533, 276, -31, 1], 2]], 'hecke_orbit_code': 49539870812537846, 'p': 79}
-
id: 1599697
{'charpoly_factorization': [[[1567, -128, -13, 1], 2]], 'hecke_orbit_code': 49539870812537846, 'p': 83}
-
id: 1599698
{'charpoly_factorization': [[[3136, -3136, 3920, 672, 252, -14, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 89}
-
id: 1599699
{'charpoly_factorization': [[[9409, -8730, 5869, -1876, 439, -23, 1], 1]], 'hecke_orbit_code': 49539870812537846, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 12, 'label': '1014.2.e.l', 'level': 1014, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 220464000
{'hecke_orbit_code': 49539870812537846, 'n': 1, 'trace_an': 6}
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id: 220464001
{'hecke_orbit_code': 49539870812537846, 'n': 2, 'trace_an': -3}
-
id: 220464002
{'hecke_orbit_code': 49539870812537846, 'n': 3, 'trace_an': 3}
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id: 220464003
{'hecke_orbit_code': 49539870812537846, 'n': 4, 'trace_an': -3}
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id: 220464004
{'hecke_orbit_code': 49539870812537846, 'n': 5, 'trace_an': 2}
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id: 220464005
{'hecke_orbit_code': 49539870812537846, 'n': 6, 'trace_an': 3}
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id: 220464006
{'hecke_orbit_code': 49539870812537846, 'n': 7, 'trace_an': -9}
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id: 220464007
{'hecke_orbit_code': 49539870812537846, 'n': 8, 'trace_an': 6}
-
id: 220464008
{'hecke_orbit_code': 49539870812537846, 'n': 9, 'trace_an': -3}
-
id: 220464009
{'hecke_orbit_code': 49539870812537846, 'n': 10, 'trace_an': -1}
-
id: 220464010
{'hecke_orbit_code': 49539870812537846, 'n': 11, 'trace_an': -5}
-
id: 220464011
{'hecke_orbit_code': 49539870812537846, 'n': 12, 'trace_an': -6}
-
id: 220464012
{'hecke_orbit_code': 49539870812537846, 'n': 13, 'trace_an': 0}
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id: 220464013
{'hecke_orbit_code': 49539870812537846, 'n': 14, 'trace_an': 18}
-
id: 220464014
{'hecke_orbit_code': 49539870812537846, 'n': 15, 'trace_an': 1}
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id: 220464015
{'hecke_orbit_code': 49539870812537846, 'n': 16, 'trace_an': -3}
-
id: 220464016
{'hecke_orbit_code': 49539870812537846, 'n': 17, 'trace_an': 8}
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id: 220464017
{'hecke_orbit_code': 49539870812537846, 'n': 18, 'trace_an': 6}
-
id: 220464018
{'hecke_orbit_code': 49539870812537846, 'n': 19, 'trace_an': 4}
-
id: 220464019
{'hecke_orbit_code': 49539870812537846, 'n': 20, 'trace_an': -1}
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