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{'Nk2': 8664, 'analytic_conductor': 17.29559707780933, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [19, -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': [2166, 1, [1445, 1807], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [9, -9, 0, 1]], [7, [-1, 0, 3, 1]], [13, [-3, 9, -6, 1]], [29, [213, -45, -6, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580966518, 'hecke_ring_generator_nbound': 7, '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': '2166.2.a.u', 'level': 2166, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '114.2.i.d', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+(-\\beta _{1}-\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2166.2.a', 'trace_display': [3, 3, 0, -3], 'trace_hash': 2085725555195683745, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.817', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.803', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '258.020', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [3, 3, 3, 3, 0, 3, -3, 3, 3, 0, 0, 3, 6, -3, 0, 3, 6, 3, 0, 0, -3, 0, 6, 3, 3, 6, 3, -3, 6, 0, 9, 3, 0, 6, 9, 3, 9, 0, 6, 0, 9, -3, 15, 0, 0, 6, 3, 3, -12, 3, 6, 6, -3, 3, 0, -3, 0, 6, -12, 0, -33, 9, -3, 3, 0, 0, 12, 6, 6, 9, 15, 3, 3, 9, 3, 0, 3, 6, 15, 0, 3, 9, 27, -3, -27, 15, 6, 0, -15, 0, -3, 6, 9, 3, 0, 3, -12, -12, 0, 3, -3, 6, 3, 6, 9, -3, -21, 3, 39, 0, 9, -3, 12, 0, -18, 6, 6, -12, -18, 0, -27, -33, 9, 9, -27, -3, -24, 3, 15, 0, 6, 0, 0, 12, 0, 6, 3, 6, -15, 9, 3, 15, 6, 3, 45, 3, -12, 9, -24, 3, -24, 0, 6, 3, 27, 6, -24, 15, -3, 0, -27, 3, -48, 9, 0, 27, 12, -3, -21, -27, 0, 15, -3, 6, -21, 0, -12, -15, 39, 0, -12, -3, -33, 6, -36, 9, 3, 3, -3, 0, 0, 3, -15, -12, 0, -12, 3, 0, -30, 3, 12, -3, 15, 6, -9, 3, 6, 6, 0, 9, 33, -3, 15, -21, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0], [1, 0, 0], [1, 0, 0], [1, 0, 0], [0, -1, -1], [1, 0, 0], [-1, -1, 0], [1, 0, 0], [1, 0, 0], [0, -1, -1], [0, -1, 1], [1, 0, 0], [2, -1, 1], [-1, -1, 0], [0, -1, -1], [1, 0, 0], [2, 1, 2], [1, 0, 0], [0, 0, 0], [0, -1, -1], [-1, -1, 0], [0, -1, 1], [2, 5, -3], [1, 0, 0], [1, 3, 0], [2, -1, 1], [1, 0, 0], [-1, -1, 0], [2, -2, -3], [0, -1, -1], [3, 0, -3], [1, 0, 0], [0, -1, 1], [2, 1, 2], [3, 2, 2], [1, 0, 0], [3, 6, -2], [0, 0, 0], [2, -1, 1], [0, -1, -1], [3, -3, 4], [-1, -1, 0], [5, 1, -3], [0, -1, 1], [0, -1, -1], [2, 5, -3], [1, 0, 3], [1, 0, 0], [-4, 2, 1], [1, 3, 0], [2, 1, 2], [2, -1, 1], [-1, 6, -8], [1, 0, 0], [0, -1, 2], [-1, -1, 0], [0, 0, 0], [2, -2, -3], [-4, -3, 6], [0, -1, -1], [-11, 0, -1], [3, 0, -3], [-1, -1, 0], [1, 0, 0], [0, -3, 0], [0, -1, 1], [4, -4, 3], [2, 1, 2], [2, 5, -3], [3, 2, 2], [5, 7, -1], [1, 0, 0], [1, 2, 5], [3, 6, -2], [1, 3, 0], [0, 0, 0], [1, 0, 0], [2, -1, 1], [5, -5, 10], [0, -1, -1], [1, 0, 0], [3, -3, 4], [9, -1, 3], [-1, -1, 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32], [6, 0, 32], [21, 4, -35], [25, 60, -43], [-11, -54, 28], [26, 13, -10], [33, -28, -28], [17, 21, 13], [15, -32, 29], [6, 45, -58], [29, -9, -4], [62, 19, -17], [-1, -29, -10], [17, -38, 37], [65, 2, -19], [-53, 0, -35], [-10, 23, -29], [56, 9, -15], [-28, 37, -10], [-1, 27, 11]], 'char_orbit_index': 1, 'field_poly': [-1, -3, 0, 1], 'hecke_orbit_code': 90071992580966518, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '2166.2.a.u', 'level': 2166, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'AL_dims': [[[[2, -1], [3, -1], [19, -1]], 11, 5], [[[2, -1], [3, 1], [19, -1]], 5, 2], [[[2, -1], [3, 1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [19, 1]], 4, 2], [[[2, 1], [3, -1], [19, -1]], 7, 4], [[[2, -1], [3, -1], [19, 1]], 3, 1], [[[2, 1], [3, 1], [19, -1]], 10, 4], [[[2, 1], [3, -1], [19, 1]], 8, 3]], 'ALdims': [4, 10, 8, 7, 9, 5, 3, 11], 'Nk2': 8664, 'analytic_conductor': 17.29559707780933, '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': [2166, 1, [1445, 1807], [1, 1]], 'conrey_index': 1, 'cusp_dim': 341, 'dim': 57, 'eis_dim': 79, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13, 29], 'hecke_orbit_code': 33556598, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '2166.2.a', 'level': 2166, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_nf • Show schema
Hide schema
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id: 887097
{'conductor': 19, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2166.2.a.u', 'source_level': 2166, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '114.2.i.d', 'target_level': 114, 'twist_class_label': '114.2.i.d', 'twist_class_level': 114, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 887098
{'conductor': 57, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2166.2.a.u', 'source_level': 2166, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '342.2.u.a', 'target_level': 342, 'twist_class_label': '114.2.i.d', 'twist_class_level': 114, 'twisting_char_label': '57.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 887099
{'conductor': 76, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2166.2.a.u', 'source_level': 2166, 'target_char_orbit': 41, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '912.2.bo.f', 'target_level': 912, 'twist_class_label': '114.2.i.d', 'twist_class_level': 114, 'twisting_char_label': '76.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 887100
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2166.2.a.u', 'source_level': 2166, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2166.2.a.o', 'target_level': 2166, 'twist_class_label': '114.2.i.d', 'twist_class_level': 114, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 887101
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2166.2.a.u', 'source_level': 2166, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2166.2.a.u', 'target_level': 2166, 'twist_class_label': '114.2.i.d', 'twist_class_level': 114, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 887102
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2166.2.a.u', 'source_level': 2166, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '6498.2.a.bn', 'target_level': 6498, 'twist_class_label': '114.2.i.d', 'twist_class_level': 114, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 887103
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '2166.2.a.u', 'source_level': 2166, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '6498.2.a.bs', 'target_level': 6498, 'twist_class_label': '114.2.i.d', 'twist_class_level': 114, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2466600
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 90071992580966518, 'p': 2}
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id: 2466601
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 90071992580966518, 'p': 3}
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id: 2466602
{'charpoly_factorization': [[[9, -9, 0, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 5}
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id: 2466603
{'charpoly_factorization': [[[-1, 0, 3, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 7}
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id: 2466604
{'charpoly_factorization': [[[-1, -3, 0, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 11}
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id: 2466605
{'charpoly_factorization': [[[-3, 9, -6, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 13}
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id: 2466606
{'charpoly_factorization': [[[17, -9, -6, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 17}
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id: 2466607
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 90071992580966518, 'p': 19}
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id: 2466608
{'charpoly_factorization': [[[269, -45, -6, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 23}
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id: 2466609
{'charpoly_factorization': [[[213, -45, -6, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 29}
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id: 2466610
{'charpoly_factorization': [[[27, 0, -9, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 31}
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id: 2466611
{'charpoly_factorization': [[[361, -57, -9, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 37}
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id: 2466612
{'charpoly_factorization': [[[109, -12, -9, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 41}
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id: 2466613
{'charpoly_factorization': [[[-57, 54, -15, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 43}
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id: 2466614
{'charpoly_factorization': [[[53, -24, -3, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 47}
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id: 2466615
{'charpoly_factorization': [[[-307, -153, 3, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 53}
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id: 2466616
{'charpoly_factorization': [[[-17, -33, 12, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 59}
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id: 2466617
{'charpoly_factorization': [[[1297, 360, 33, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 61}
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id: 2466618
{'charpoly_factorization': [[[3, 9, -12, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 67}
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id: 2466619
{'charpoly_factorization': [[[449, -54, -15, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 71}
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id: 2466620
{'charpoly_factorization': [[[-37, -114, -3, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 73}
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id: 2466621
{'charpoly_factorization': [[[2125, -150, -15, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 79}
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id: 2466622
{'charpoly_factorization': [[[-503, 222, -27, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 83}
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id: 2466623
{'charpoly_factorization': [[[-107, -36, 15, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 89}
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id: 2466624
{'charpoly_factorization': [[[53, 45, 12, 1], 1]], 'hecke_orbit_code': 90071992580966518, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '2166.2.a.u', 'level': 2166, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 248926000
{'hecke_orbit_code': 90071992580966518, 'n': 1, 'trace_an': 3}
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id: 248926001
{'hecke_orbit_code': 90071992580966518, 'n': 2, 'trace_an': 3}
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id: 248926002
{'hecke_orbit_code': 90071992580966518, 'n': 3, 'trace_an': 3}
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id: 248926003
{'hecke_orbit_code': 90071992580966518, 'n': 4, 'trace_an': 3}
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id: 248926004
{'hecke_orbit_code': 90071992580966518, 'n': 5, 'trace_an': 0}
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id: 248926005
{'hecke_orbit_code': 90071992580966518, 'n': 6, 'trace_an': 3}
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id: 248926006
{'hecke_orbit_code': 90071992580966518, 'n': 7, 'trace_an': -3}
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id: 248926007
{'hecke_orbit_code': 90071992580966518, 'n': 8, 'trace_an': 3}
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id: 248926008
{'hecke_orbit_code': 90071992580966518, 'n': 9, 'trace_an': 3}
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id: 248926009
{'hecke_orbit_code': 90071992580966518, 'n': 10, 'trace_an': 0}
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id: 248926010
{'hecke_orbit_code': 90071992580966518, 'n': 11, 'trace_an': 0}
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id: 248926011
{'hecke_orbit_code': 90071992580966518, 'n': 12, 'trace_an': 3}
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id: 248926012
{'hecke_orbit_code': 90071992580966518, 'n': 13, 'trace_an': 6}
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id: 248926013
{'hecke_orbit_code': 90071992580966518, 'n': 14, 'trace_an': -3}
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id: 248926014
{'hecke_orbit_code': 90071992580966518, 'n': 15, 'trace_an': 0}
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