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{'Nk2': 32004, 'analytic_conductor': 63.88830665722644, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [127, 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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 20, 'field_disc': 411102131650701070875492242301442027696372, 'field_disc_factorization': [[2, 2], [7, 1], [151, 1], [370181731769737, 1], [262663524380673860066677, 1]], 'field_poly': [31, -425, 609, 6812, -8607, -25504, 32493, 35701, -52271, -17664, 39579, -56, -15474, 2977, 3125, -1061, -274, 152, 0, -8, 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, [31, 425, 609, -6812, -8607, 25504, 32493, -35701, -52271, 17664, 39579, 56, -15474, -2977, 3125, 1061, -274, -152, 0, 8, 1]], [5, [-203968, -1241664, -467616, 5947520, 2267944, -8263246, -2710324, 5458748, 1651483, -2020391, -595740, 445364, 132200, -58925, -17889, 4519, 1412, -183, -59, 3, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835713345, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '8001.2.a.w', 'level': 8001, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'minimal_twist': '889.2.a.d', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{16}q^{5}+q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 20, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8001.2.a', 'trace_display': [-8, 0, -3, 20], 'trace_hash': 1275957716558146007, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.953', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '834.820', 'prec': 24}, {'__RealLiteral__': 0, 'data': '1069.044', 'prec': 27}, {'__RealLiteral__': 0, 'data': '78855.758', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [20, -8, 0, 24, -3, 0, 20, -24, 0, -8, -26, 0, -4, -8, 0, 24, -4, 0, 1, 2, 0, 1, -31, 0, 27, -4, 0, 24, -16, 0, 6, -41, 0, -10, -3, 0, 2, -3, 0, -38, -25, 0, 13, -66, 0, 20, -19, 0, 20, 4, 0, 20, -24, 0, -3, -24, 0, 12, -23, 0, -27, -7, 0, 2, -26, 0, 9, 25, 0, -8, -63, 0, -21, -21, 0, -10, -26, 0, 18, 23, 0, -42, 1, 0, -41, 12, 0, 57, 16, 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-
mf_hecke_nf • Show schema
Hide schema
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1, 0], [0, 3, -1, 0, -1, 1, 0, 1, -1, -1, 0, 1, 2, 1, 1, -2, 0, 0, 2, 0], [-2, -2, -1, -3, 0, 0, 4, 1, -1, 2, -2, 1, 2, 0, 2, -1, 1, 1, 2, 2], [1, -4, -2, -2, 5, -1, 1, 2, 1, -1, 0, -2, 0, 0, -1, 1, 1, 2, 1, 3], [0, 5, -3, 2, 1, 1, -2, 0, 1, -1, 0, 1, 2, -1, -2, -3, 0, 1, 1, -1], [2, 2, -5, -1, -1, 2, -1, 0, 0, -2, -2, 0, 3, 0, -2, -2, -1, 0, -3, -1], [-2, -3, 0, 1, 0, -3, 0, 1, 0, 1, -2, 1, 0, 2, -2, -1, 0, 0, -1, -1], [0, -1, 0, 1, 1, -2, 1, 0, 0, 1, -2, 0, 2, 1, -2, -1, 3, 2, 0, 4], [0, -1, 2, 1, 1, -1, -1, 1, -1, -2, 0, -1, -1, 0, -1, -1, 1, 0, -1, 2], [0, 2, -1, -3, 2, 0, 0, 1, 1, -1, 2, -2, -2, -2, 1, 2, -1, -2, -1, -2], [-2, 0, -2, -1, 0, 2, 0, 1, 2, -2, -1, 0, 1, 0, -1, -1, -1, 1, -1, 3], [-1, 1, 0, 2, 2, -2, -2, 1, 1, -1, -1, -1, 2, 0, -1, -1, 1, -1, 1, 0], [-4, -1, -2, -3, 1, 1, 2, 2, 1, 1, -2, 2, 0, 1, 3, 1, 0, 0, -2, 2], [0, -2, 1, 1, -1, 2, -2, 0, 0, -1, -2, 1, 1, 0, -2, -1, -2, 0, 0, 0], [-5, 0, 0, 0, -3, 2, 0, -2, -1, 1, 2, 2, -3, -1, 1, 2, -2, -1, -1, -2], [-8, 1, -2, -2, 4, -3, 0, 2, 3, -1, 1, -3, 1, -2, -2, 0, 1, 1, 2, 0], [-1, -2, 1, -2, 0, -2, -1, -2, 0, -1, 1, -1, -2, 1, -1, 1, 1, 1, -1, 2], [-1, 6, -2, 2, -1, 2, -1, 2, 1, 3, 0, -1, 3, -1, 0, -1, -2, -1, 0, -3], [4, 1, 0, 0, -1, 2, -1, 0, 1, -2, 1, 0, -1, -2, 1, 2, -3, -2, 0, -4], [-5, -1, 2, 1, -2, 1, 1, 0, -3, 3, -2, -1, 2, 2, -1, 0, 0, 2, 0, 2], [-3, -4, 1, 2, -1, 2, 2, 1, -2, 3, -1, 0, -1, 0, 3, -3, -1, -2, 2, 1], [7, -1, -1, 0, -1, 1, 1, -1, -3, 0, -4, 1, 0, 1, 1, -2, -1, 1, -2, 0], [-3, 0, 5, 2, 0, -1, 2, 2, 0, 5, 1, -3, -1, 0, 3, 2, 0, 2, 3, -1], [4, -4, 0, 1, -3, 4, -3, -2, -2, 2, -1, 2, 1, 1, -1, -2, 1, 0, -3, 1], [4, 2, -3, -1, 2, -2, 1, 1, 1, -4, -4, 3, -1, 1, -1, -2, -1, -2, -2, 0], [0, 2, 2, -1, 1, 0, -2, 0, 1, 2, 3, -3, -1, -1, -1, 1, -1, -1, -2, -2], [0, -4, 4, -1, -1, -1, 2, 0, -1, 2, -3, 3, 2, 2, 3, 0, 0, 0, 0, 2], [-7, -1, -1, -1, 1, 0, 1, -1, 2, 0, 1, 0, 0, 1, 0, 3, 0, 1, -1, 0], [-6, -2, 1, -1, 2, -1, 2, 0, 3, -3, 2, 0, -3, -2, 1, 3, 1, 0, 0, 1], [0, -1, 2, 0, -3, 0, 0, -2, 0, 0, -1, -1, 4, 3, 0, 2, -1, -1, -1, 0], [0, 2, 1, 0, -5, 3, -2, 2, -3, 2, -1, 1, 2, 2, 3, -2, -5, -4, -1, -2], [1, -1, -1, -1, -1, 3, -3, 1, -1, 0, -1, 2, -1, 0, 0, 0, -4, -1, -3, 0], [-2, 1, 2, -1, 0, -2, 0, 0, 2, -3, 2, -3, 0, -3, 0, 1, 0, 1, 0, -1], [1, -13, 6, 0, 1, 0, 2, 2, -3, 3, -3, -1, 2, 5, 2, -2, 6, 2, 1, 7], [5, -4, -3, -1, 1, -1, -3, 0, 0, -2, 2, -3, 1, -1, -3, -2, 5, 0, 2, -1], [-13, -4, 2, -1, 0, 1, 1, 2, -1, 3, 1, 1, 0, 1, 2, -1, 1, 1, 4, 1], [0, 2, 0, 1, 4, -4, 2, 2, 6, -5, 3, -2, 0, -1, 0, 3, 2, 0, 2, 1], [-6, 7, -9, -3, 6, 2, -3, 3, 3, -7, 3, -4, 1, -4, -5, -1, 4, 3, 0, 2], [1, -5, 4, -2, 0, -2, 3, -2, -1, 2, 1, 0, -1, 0, 1, 1, 6, 0, 1, -1], [-3, -4, 6, 2, -4, -5, 0, -5, 0, 0, 0, -3, -1, 4, -3, 2, -2, 1, -2, -2], [-5, 3, 0, -2, 0, 1, 2, -1, 2, -4, -1, 0, 2, -1, -2, 2, -3, 2, -3, 0], [4, -9, 8, 3, 0, -3, -1, -1, 0, 1, 0, -2, -1, 4, 1, 0, -1, 0, 0, 1], [-5, -2, -1, -3, -1, 2, 1, 1, 1, 3, -2, 2, 3, 1, 3, 0, 2, 0, 2, 1], [1, 4, -10, -2, 0, 3, -3, 0, -2, 3, 0, 2, 3, -3, 0, -7, -1, -2, 0, -2], [0, 5, 2, 3, -4, 1, -2, -2, -2, 0, 2, -1, -2, -2, 1, 0, -5, -2, 0, -4], [-8, 3, -8, -1, 2, 6, 2, 3, 0, 1, -2, 3, 1, -1, 2, -2, 2, 1, 1, 3], [-10, 0, 7, 0, -2, 0, 2, -1, -2, 1, 5, -3, 2, 0, 5, 3, 0, 0, 4, -1], [-9, -1, 4, -1, -2, 1, 3, 1, -2, 0, 0, 1, 1, 2, 1, -1, 0, 1, 1, 0], [0, 1, -3, 1, 1, 0, 0, 0, 4, -2, 3, 3, 0, -4, -3, 2, -3, 1, 1, -1], [-6, 6, -3, -1, -2, 1, -3, -2, 4, -4, 6, 0, 3, -3, -1, 4, 0, 1, 0, -4], [-5, 11, -7, 1, -2, 1, -2, -2, 1, -1, 3, 1, -2, -4, -3, -3, -1, -2, 0, -7], [-2, 0, 1, 2, 2, 2, 1, 2, -1, 2, -1, 2, 1, 0, 1, 3, 1, 4, 2, 4], [-4, -5, 1, 0, 0, 4, 2, 2, -2, 6, -2, 1, 1, 1, 4, -6, 3, 0, 2, 3], [5, -7, 5, 1, -2, 1, -3, -1, -1, 1, 1, -3, -1, 1, 0, 3, 1, -2, -1, -2], [5, -4, 8, 2, -6, -1, 0, -4, -5, 2, 0, 1, 3, 1, 2, 0, 1, 2, 1, -1], [-11, 0, -1, -1, -1, 0, -5, -2, 1, -2, 4, 0, -4, -3, -4, 1, -3, -3, -3, -3], [-2, 1, 7, 2, -2, -3, -2, -4, 0, 5, 2, -1, -5, 1, -3, 0, 2, 0, -2, -2], [-10, -1, 7, 0, -1, 3, 1, 1, -3, 4, 0, 2, -2, 2, 2, 1, 0, 1, 2, 2], [-2, -1, 1, 2, -2, -1, 1, -2, 2, -1, 2, 0, -1, -2, 2, 3, -4, -2, 2, -2], [6, -3, 3, 0, -2, 1, -1, -2, -3, 3, -4, 3, 0, 2, 1, -5, 1, -4, -4, 2], [5, -5, -1, -1, -4, 4, -3, -4, -7, 6, -3, -2, 3, 3, 0, -3, 0, 0, -3, 0], [12, -8, 4, 0, 1, -3, -2, -4, -3, 1, 0, -2, 0, -1, -1, 2, 4, 1, -1, 1], [-2, 0, 3, 3, -3, 1, 1, 0, -3, 7, -4, 0, 1, 2, 4, -2, -5, 2, -1, 2], [1, 3, -4, -3, -4, 1, 1, -3, -1, -4, -2, 7, 2, -2, 2, 1, -2, -3, -3, -3], [-2, -6, 3, -1, 2, -2, 1, 1, -2, 1, 2, -4, 2, 1, 1, 6, 3, 2, 4, 2], [-3, -3, 7, 1, -2, 0, 1, 0, 1, -2, 1, -2, 1, 3, -2, 5, 0, 0, 1, 0], [7, -2, 1, 2, 0, 2, -4, 0, 3, -4, 1, 2, -1, 0, 0, 1, -7, -2, -2, -2], [4, -1, 1, 2, 1, 4, -1, 1, 0, 1, -2, 4, 1, -1, 1, -4, -2, -1, -2, 2], [-1, 6, -2, 2, 4, 3, -3, 2, 0, 1, -2, 3, 0, 0, -1, -3, -1, 0, -3, 3], [6, -1, 1, 3, -4, -2, -3, 0, -2, 1, -1, 2, 1, 2, -2, -4, 0, 1, 1, -3], [2, -3, -7, -1, 3, 2, -1, 3, 0, -1, -3, 1, 1, -1, -1, -4, 0, -3, -2, 2], [6, 2, -4, 0, -4, 1, 2, -3, -1, -1, 0, 5, 0, -3, 2, 3, -2, -2, -2, -4], [-1, 4, 4, 1, -3, -1, -2, -1, -2, -3, -1, 1, 0, 4, -3, -2, -1, -2, -2, -1], [0, -3, 2, 3, 1, -4, 3, 0, -1, -2, -4, 0, 4, 3, -2, -1, 8, 1, 4, 4], [3, -1, 0, -1, 5, -5, 3, 0, 5, -1, 0, 0, 1, -3, 0, 3, 2, 1, 0, 1], [-4, 5, -4, -3, -1, 3, -1, -1, 3, 0, 0, 4, 0, -2, 0, -1, -3, -1, -3, -2], [-5, 2, -1, 1, 0, 0, -2, 0, 0, 3, 0, -2, 3, 0, 0, -1, 0, 1, -2, 3], [1, -2, -6, -2, -3, -1, 4, -2, -3, 5, -4, 3, 3, 3, 2, -1, 3, 2, -2, 1], [5, -2, -1, 0, 1, -1, -2, -1, -4, 4, 1, -2, 1, 0, -1, -6, 6, -1, 1, 1], [-2, 0, 4, -1, -4, -2, 0, -1, -3, 5, 3, -3, 0, -1, 1, 3, -2, -2, 0, -6], [3, 7, -9, 0, -3, 1, -3, -1, -2, -4, -4, 7, 0, -1, 0, -6, -1, -3, -2, -2], [7, -1, 2, 0, -1, -1, 2, 0, 0, -2, -3, -1, 4, 1, 1, 2, -3, 1, -3, 2], [6, -3, 0, 2, -3, -1, 5, -2, -2, 4, -3, 5, -4, 2, 1, -2, 0, -2, -4, -1], [-4, 0, 1, 1, -1, -4, 3, 1, 1, 2, 0, -1, -1, 1, -1, -3, 1, -3, 1, -2], [-3, -4, 7, 3, 5, -2, 3, 2, -1, 7, 0, -3, 1, 2, 1, 1, 5, 3, 2, 6], [-7, 4, 0, 1, 1, 0, -3, 1, 4, -5, 5, 1, -5, -4, 1, 4, -5, -4, -4, -6], [4, -9, 1, -1, 1, 5, -1, 4, -4, 7, -1, -2, 5, 3, 3, -2, 6, 4, 2, 4], [7, 4, -3, 4, 4, 2, -4, 1, 0, -1, -1, 1, -1, 1, -5, -2, 0, -1, -2, 1], [0, 3, -3, 1, -4, -1, -3, -3, -1, 3, 5, 1, -1, 0, 0, 0, -3, 0, -3, -3], [-5, -7, 4, -2, 1, -1, 4, 2, 0, -1, -1, 1, -2, -1, 3, 4, -1, 1, 3, 2], [-1, -13, 8, 2, 4, -4, 1, -2, -7, 3, -1, -3, -4, 3, -1, -1, 11, 2, 2, 6], [-14, -4, -2, 0, 2, -1, 1, 0, -3, 5, 0, -1, 2, -1, 3, -2, 2, 2, 3, 2], [-7, 8, 1, 1, -2, -2, -1, 2, 0, 4, 0, -2, 2, 1, -3, -4, 0, 1, 0, -3], [9, -3, -6, -1, 1, 3, -3, 0, 2, -5, -4, -1, 7, 0, -2, -1, -2, 1, -1, 3], [-11, -3, -4, -6, 7, 4, -1, 4, -1, 2, 1, -3, 2, -1, -1, 0, 3, 3, -1, 6], [-1, -5, 0, -1, 7, -3, 1, 4, 2, 0, -4, -4, -2, 3, -1, 1, 3, -1, 0, 4], [4, -3, 7, 6, -2, -7, 1, -5, -3, -1, -2, 0, -4, 2, 0, 0, -2, 0, 1, -2], [4, -8, 2, 2, -1, 0, 1, 0, -3, 7, 0, 1, -3, 0, 3, 0, 3, -3, 2, -4], [-5, 4, -12, -3, 3, 4, -5, 2, 5, -2, 5, 2, -2, -4, -4, -3, 2, 1, 1, -3], [-4, 0, -1, -1, -7, 7, 1, 0, -2, 0, -2, 4, 2, 3, 6, -1, -3, -2, -1, -1], [5, -2, 6, 2, 1, -6, 7, 1, 4, -5, 2, 2, -4, 0, 3, 6, 2, 1, 4, 1], [1, -3, -4, -1, -4, 0, -1, -1, -3, 3, -6, 2, 3, 3, -3, -3, 2, 3, -4, 3], [4, 2, 0, 0, 3, -7, 2, 1, 0, -2, 2, -5, -3, -2, -1, 1, 1, 1, 5, -1], [-8, 3, -3, -1, 4, 0, 1, -1, 3, 2, 1, 1, -1, -3, -1, -5, 3, 5, -1, 4], [4, 0, -3, -2, 0, -5, -2, 1, 1, 4, -1, -2, 4, -4, -2, -4, 2, 1, 3, -4], [-8, 15, -9, 3, 0, 3, -2, 0, 6, -2, 7, 2, -2, -6, 0, 0, -2, -2, 1, -4], [-10, 3, -2, -2, -1, 5, 1, 0, 5, 1, 3, 1, 5, -3, 4, 2, -1, 4, 5, -3], [-4, 1, 2, 4, -7, -3, -4, -6, 1, -1, 5, 1, 1, 2, -4, 3, -3, 1, 1, -4], [-10, 3, 0, 1, -3, 6, -3, 2, 1, -3, -2, 6, 1, 2, 1, 0, -4, 1, 0, 1], [1, -4, 3, 1, -4, 0, 2, 0, -4, 8, -2, 2, 1, 4, 4, -1, 6, -2, 4, 1], [-2, -5, -1, -3, 3, 1, 1, 3, -3, -1, -1, 4, -3, -2, 2, 0, -1, 2, 1, 1], [11, 7, -8, 0, -4, 1, -1, -2, -2, 5, -3, 3, 3, 2, 0, -2, -6, 0, -2, -2], [12, -13, 3, -3, 5, -9, -1, -3, 0, -5, 1, 2, -4, 1, -3, -1, 4, 0, -1, 0], [5, 1, -8, -3, -1, -6, -1, 1, 3, -9, -6, 4, 2, -1, -2, -3, -4, -5, -2, -5], [3, -11, 1, -2, 1, -5, 6, -2, -2, 4, -2, -1, -5, 3, 0, 4, 9, 4, -2, 4], [7, 3, 1, 0, -5, -2, -4, -4, 2, 4, -2, 1, 0, -2, -1, 0, -7, -2, -5, -7], [-11, -1, 2, -1, 5, 1, -1, -2, 5, -4, 4, -2, -7, -1, -2, 9, -1, 1, -4, 1], [-6, 7, 1, 5, -4, 1, 1, -3, -3, 0, 1, 3, -5, 0, 0, 2, -5, -2, -1, -3], [-8, -2, 7, 0, -4, 0, 4, -3, -1, -2, 1, 0, -1, 3, -2, 5, -1, 0, 1, -2], [4, -5, 3, 1, 2, -5, -1, -2, 3, -4, 1, -5, -2, -6, -2, 3, 1, -3, -2, -3], [4, 3, -2, 2, 0, -1, -1, -2, -4, -3, 3, 2, -2, -2, -3, -3, 0, -1, 3, 0], [12, -8, 3, 4, 2, -5, 2, -3, 0, -2, -3, 3, -5, 5, -6, -4, 3, 2, -4, 3], [-7, 2, 1, 2, 5, 2, -6, 2, 4, -11, 1, -3, 1, 2, -10, -1, 1, -2, -2, 4], [5, 5, -6, 0, 3, -5, 0, 4, 5, -4, -1, -4, 1, 0, -3, 0, -2, 2, 0, -1], [0, -4, -3, -4, 0, -1, 6, -2, 1, -2, 3, 0, -1, 1, 4, 5, 8, 0, 1, 3], [-11, 4, 3, -3, 0, -3, 2, -2, 6, -1, 4, -4, 2, 3, -1, 8, 6, 2, 0, -1], [8, -11, 4, 3, -3, -5, 4, -5, -2, 0, 0, 1, -8, 1, 1, 2, -5, -1, -3, -2], [-9, 3, -2, -3, 2, -3, -1, 1, 6, -7, 4, 1, -3, -5, -2, 4, -3, -1, 1, -2], [-6, 4, -5, -2, -2, -2, -2, -1, 3, 1, 5, -2, -3, 0, -1, 5, 6, -2, -2, -3], [0, -10, 10, 2, -5, -3, 4, -5, -3, 6, 2, -4, -4, 3, -3, 3, 9, 4, 2, 0], [2, -2, 4, 5, 0, -4, 2, -3, -2, -4, -3, -3, 2, -2, 0, 3, -5, 1, 1, 3], [0, -5, 5, 4, -7, -6, 4, -6, -6, 7, -4, -1, 4, 4, 3, -2, -1, 0, 1, -2], [-5, -2, -3, -3, -4, 1, 2, 2, -2, 2, 0, 3, 2, 3, 3, -4, 4, 1, 2, -2], [0, 5, -3, 1, 1, 4, -2, 3, 1, 4, 1, 0, 2, -1, 1, -3, 4, 1, 3, 2], [11, -6, 8, 1, -9, -3, 7, -4, -2, 4, -5, 6, 3, 4, 5, 0, -2, -2, 0, -2], [-5, 4, -13, -5, 6, 3, -2, 2, 5, -5, 4, -2, -1, -2, -3, -3, 5, 2, 0, -2], [-11, 6, -1, 4, -2, 1, -2, 0, 1, -7, 5, -2, -1, -1, -3, 2, 3, 0, 2, -3], [-3, 0, 4, 0, -4, -3, 1, -9, 2, -8, 6, 1, -3, -2, -4, 4, 1, 1, -2, -3], [2, -3, 1, 4, 4, 5, -1, 2, -1, 4, 0, -3, -4, 2, 0, 3, 4, 2, 2, 4], [4, 1, -1, 1, 6, -3, 0, 1, 2, 2, -1, -3, 0, -1, -7, 1, 2, 6, -1, 7], [0, -3, -1, -1, 7, 0, -4, 2, 6, -4, 5, -2, 2, -5, -1, 4, 4, 5, 4, -1], [1, -4, -2, 2, -3, 2, 0, -3, -8, 3, -6, -1, -3, 4, 2, -3, 1, -4, -1, -1], [-3, -13, 3, 2, 6, 1, 4, 4, -6, 13, -2, -2, 1, 2, 7, -6, 8, 2, 3, 7], [9, -5, 2, -3, 3, -5, 0, -2, -1, -4, 0, -5, -1, 2, -6, 5, 5, 0, 1, -2], [1, 5, -5, -5, 3, 4, 0, 1, 1, 4, -1, 5, 0, -1, -1, -2, -3, -2, 2, -3], [6, -3, 2, 4, 3, -3, -1, -3, 5, -16, 1, -2, 2, 0, -10, 3, 2, 4, -1, 1], [1, -7, 6, -1, 5, -2, 0, 2, 4, 1, 4, -2, 4, -1, 0, -1, 5, 4, 6, 2], [-3, 6, 0, 0, 4, -6, 3, 3, -1, -2, 2, 0, -2, -4, -1, 1, 0, 2, 3, -1], [9, 2, -2, 3, -3, 5, -2, -1, -2, -2, -1, 1, 7, -3, 1, 0, 0, 3, 3, -3], [18, -1, -9, -1, 5, 1, -1, 8, 1, 0, -5, -1, 5, -3, 3, -9, 0, -4, 3, 0], [2, -7, -2, -9, 2, -1, 0, 1, 2, -3, -4, -3, 0, 2, -2, 3, 4, 0, -7, 1], [-3, 8, 1, 0, -3, -1, 2, -1, 4, -6, 1, 1, 0, -4, -2, 0, 1, 1, -3, -1], [4, 2, -8, 0, 3, 5, -2, 5, 0, -5, -4, 0, 1, -3, 3, -1, -4, -3, -2, 1], [-23, 12, 1, 7, -6, 2, -3, 0, -3, 3, 2, 4, -2, -1, 1, -2, -11, 0, -2, -5], [-9, 9, -7, -1, 1, 4, -1, 5, 2, -7, 1, 6, -2, 1, 2, -1, -1, 3, 1, 0], [-9, 1, -1, 1, -3, 0, 5, 2, 0, 3, -5, 1, -2, 0, 7, 0, -5, -6, -1, -3], 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2, -2, 1, -3], [16, -6, -2, -2, 1, 2, 1, 2, 2, -2, -4, -3, 6, 0, -1, 0, 0, -1, 2, 7], [0, 14, -9, -1, 4, 4, -8, 2, 6, -13, 6, 0, -2, -9, -5, 0, -4, -4, -2, -7], [-9, -5, -2, -1, 3, 5, -2, 3, -5, 3, -2, -4, 5, 0, 1, -3, 1, -1, -1, -1], [6, 7, -12, -2, 3, 5, -3, 0, -4, 1, -3, 1, 4, -6, -1, -9, 2, -2, -1, 0], [-2, 5, 4, 0, -3, -1, 0, -4, -4, 0, -3, 4, 0, 5, -5, -1, 2, 4, 0, 5], [7, -5, 5, 1, 0, 1, 3, 0, -4, 6, -1, 4, -3, 0, 5, -2, 6, -5, 1, -1], [2, -5, 1, 4, 0, 0, 0, 1, -2, 2, -4, 0, 0, 4, -3, 0, 8, 0, 1, 0], [10, -6, 14, 6, 1, -5, 6, -2, -3, 5, -6, 1, -4, 5, 3, 5, -2, 2, 0, 3], [-20, -1, 5, 3, 3, -3, -2, 3, -3, 1, 1, -7, 3, -1, 0, 2, -2, 2, 6, 2], [-17, 10, -13, -2, 0, 5, -1, 1, 6, -4, 3, -2, -1, -5, -2, 3, -2, 1, -1, -5], [-6, 24, -11, 0, -2, 10, -8, -3, 2, -7, 3, 8, -3, -3, 1, 1, -11, -4, -3, -6], [8, 2, -2, 6, -2, 5, 1, -2, -2, 1, 0, 4, -2, 2, -1, 0, 3, -1, 2, 0], [-4, -2, 1, -3, 1, -2, 3, -1, 0, -3, 2, 0, -4, 1, -3, -1, 9, 2, 5, 0], [-4, 3, 0, 0, 5, 2, -2, 3, 2, -5, 3, 0, -1, -2, -8, -3, -2, -1, -3, 0], [-10, 3, 0, 6, 1, -1, 1, 4, 3, 2, 5, -3, -6, 3, 3, 0, -3, -4, -1, 0], [4, 12, -3, 2, 1, 2, -3, 0, 4, -1, 5, -6, 0, -7, -3, 1, -4, -3, 3, -7], [0, 14, -6, 0, 2, -2, -3, 2, 4, -3, 6, -7, 2, -4, 0, -3, -1, -1, 1, -3], [11, 2, 3, -4, -6, 0, 0, 1, -4, 8, -1, -4, 2, -2, 4, 0, -5, -5, -1, -8], [-1, -4, 9, 2, 3, -11, 3, 1, 6, -4, 3, -5, -3, 3, -5, 5, 5, 0, -1, 3], [8, 2, -4, 0, -2, 4, -5, 2, 0, -1, 2, 0, 3, 0, -1, -7, 5, -4, -1, -1], [5, -2, -8, -4, 4, 2, -1, 3, 5, -8, 0, 3, -4, -7, 0, 1, -5, -4, -4, -5], [3, -2, -4, -2, 5, 0, 0, -6, -4, 0, -2, -1, -3, -4, -3, 0, -1, 2, -6, 2], [1, -3, 8, 6, -15, 5, 0, -7, -6, 14, 1, 3, 2, 3, 8, 1, -10, -6, 0, -3], [-7, -1, -1, 0, 9, -1, -1, -2, 2, -5, 4, -6, -8, -1, -3, 5, 2, 3, -5, 4], [5, 2, 6, 6, -3, -8, 5, 0, -3, 7, 0, -2, -2, 0, 0, -1, 4, -3, 7, -6], [12, 5, 2, 6, -2, 3, -4, 2, 1, 2, 1, 2, 2, -1, 4, 0, -5, -4, 1, -1], [2, -2, 9, 7, -2, -2, 3, 4, 5, -1, 2, -2, 1, 2, -3, 1, 4, 1, 6, -1], [-8, -12, 14, 4, -2, -5, 5, 2, -6, 9, -4, 1, 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0], [-6, 2, -2, -2, 6, 2, 0, 8, -3, -2, 2, -3, -5, -5, 3, 2, 1, -1, 3, -1], [1, 12, -13, 2, 0, 7, -4, 2, -1, -1, -7, 4, 2, -3, 1, -8, -11, -5, -2, -4], [4, 1, -6, -5, 14, -4, 2, 4, 4, -2, 2, -6, -1, 2, -6, 1, 13, 4, 1, 6], [-16, -2, -2, -2, -2, 6, 0, 6, -3, 10, 8, 1, 1, -1, 3, 0, -1, 5, 5, -1], [16, 2, -14, 1, -1, 6, -8, 3, -1, -3, 1, -1, 6, -1, -3, -6, -2, -3, 1, -4], [-1, 7, -3, 0, 2, 0, -3, 0, 12, -14, -4, 1, 6, -2, -7, 1, -2, 2, -2, 4], [2, -14, 10, -1, -8, -9, 14, -4, -11, 23, 3, 1, -2, 3, 12, 3, 7, 0, 8, -1], [-3, 4, -1, 1, 2, -7, 0, 2, 4, -16, 2, -1, -4, 0, -8, 2, 2, 2, 3, -3], [10, -6, 7, -2, -1, 5, 4, 6, 0, 3, -3, 3, 3, 2, 11, 3, -3, -1, 6, 4], [-2, -5, 10, 6, 3, 3, 3, 3, 1, 4, 5, -8, 2, 0, 4, 1, 4, 9, 5, 11], [-3, 0, -2, 4, -5, 6, 1, -1, -7, 2, -2, 1, -4, -1, -1, -6, -5, -8, -1, 1], [-9, -3, 2, -1, 2, -3, -1, -2, 6, -2, 2, -1, -7, -4, -4, 8, 2, -2, -4, -5], [2, -11, 4, -2, 3, -5, 3, 1, -9, 8, -3, -6, 2, 1, 11, -1, 9, 2, 6, 6], [8, -10, 6, -4, 1, 4, 3, 4, 5, 1, 6, -1, 0, -2, 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5, 1, 0, 2, -3, 9, 9, 1, 3], [5, -1, -3, -3, -1, -4, 7, -2, 3, 8, -3, 7, 7, -1, 3, -4, -4, 4, 2, -1], [6, 2, 5, 1, -7, 4, -6, -6, -9, 6, -2, 3, 3, 2, -4, -9, 5, 0, 0, -4], [18, 5, -6, 0, 4, 0, -3, -2, 0, -3, -3, -1, 1, 0, -9, -6, 3, 3, -6, 6], [-7, 3, -4, 2, 6, -1, -6, 0, 4, -6, 3, -5, 2, -3, -7, 7, 6, -3, 2, 4], [2, -6, -1, 1, 10, -3, -2, 9, -4, 1, -16, -2, 6, 8, -3, -12, 8, 3, 3, 17], [-1, 7, -6, 2, -3, 4, 4, 6, -4, 11, -5, 2, -2, 1, 6, -3, -10, 4, 0, 5], [1, 7, 0, -3, -10, 9, 3, -5, 4, 2, 2, 4, 1, -3, 7, 1, -3, -8, -4, -6], [-10, 22, -8, -5, -4, 10, -7, -5, -1, -9, 9, -3, 7, -10, 2, 4, -5, -4, 2, -10], [24, 2, -8, 9, -3, 0, -4, -4, 0, -3, -3, 8, -4, 4, -9, -3, -7, -8, -7, -1], [4, -15, -8, -1, 5, 0, 0, 4, -5, 6, -8, -1, 3, 6, -8, -11, 5, -2, -1, 6], [40, 2, 1, 6, -2, 1, -3, -4, -4, -1, -7, -2, 0, 1, -6, -4, -1, 0, -6, 2], [-14, -2, -10, -1, 3, 1, -1, 6, 3, -6, -7, 1, -3, -2, 2, 1, -9, -7, -5, 3], [-9, 5, -11, -2, -2, 2, 4, -4, 3, 0, 4, 4, 1, 1, -2, 1, 4, 7, -3, -2], [-3, -5, -6, -9, 11, -2, -1, 8, 5, -7, -2, -2, 3, -4, 6, 2, 1, 0, 2, 6], [3, 0, 2, 1, -4, 1, -6, 3, 2, -1, -7, 6, 5, 0, 0, -7, -9, -4, -5, -1], [-18, 6, 0, 4, -5, 1, 4, -1, -2, 0, 0, 6, -4, 0, 7, 3, -11, 3, -3, 5], [-9, -10, 11, -5, -3, 0, -1, -5, -9, 8, 2, -4, -3, 7, 1, 0, 7, -2, 0, 1], [0, 4, 15, 8, -4, -2, -2, -2, -2, -5, 1, -4, -8, 1, -4, 4, -3, -1, -2, 0], [-28, -14, 1, -4, 4, 1, 2, 2, -2, 10, 1, -9, -4, -1, -2, 1, 6, 2, 3, -1], [16, -5, -11, -6, 7, -4, 5, 2, 3, -1, -6, 1, 1, 5, -4, -1, 8, 5, 3, 2], [22, -9, -6, -5, -6, 1, -4, -1, -3, 3, -8, 15, 0, 2, -2, -7, 0, -4, -7, -3], [-6, -3, 8, 1, -4, -1, -7, 1, -2, 5, 0, -2, 0, 0, 2, -4, -1, -4, 2, 0], [6, 4, 2, 7, -4, -4, -6, -8, -2, 8, 3, -7, -1, 1, -5, 0, -6, 0, -1, -2], [-2, -10, 10, -2, 2, -8, -3, -1, 4, -7, 2, -9, -1, 2, -4, 12, 1, 2, -2, 3], [0, -28, 9, -8, 2, -4, 11, -1, 2, 5, -3, -3, 3, 6, 1, 8, 3, 10, 3, 10], [2, -3, 5, -4, -1, -1, 9, 3, -4, -1, -4, 6, -8, 9, 7, 7, 3, -1, -1, 1], [-13, -5, 9, 1, -4, 3, 4, -1, -10, 14, -3, -1, 6, 3, 6, -1, 2, 8, 7, 6], [-23, 3, 5, 6, 0, 5, 2, 4, -3, 2, 12, -4, -1, -3, 9, 7, -5, 3, 9, 1], [2, 10, -8, -1, -2, 8, -1, -4, -3, -7, -1, 8, 2, 0, 1, 3, -2, -6, -3, 1], [5, 13, -3, 5, 2, 3, -2, 4, -5, 3, -1, -7, 4, -8, 2, -5, -1, 5, 8, -3], [-10, 5, 3, -2, 4, -4, 7, -1, 7, -7, 4, -4, -5, 2, -1, 13, -1, 3, 2, 3], [14, -8, -2, -7, -8, 2, 4, -2, 0, -3, -3, -1, -3, 5, -1, 2, -1, -5, -5, -2], [-17, 16, -4, -1, -6, 5, -1, -2, 2, -7, 7, 7, 0, -6, 4, 5, -8, -4, -1, -12], [-5, 13, 1, 4, 7, 0, -6, -3, 7, -2, 4, -7, -2, -2, -9, 2, -1, -2, -1, 3], [-2, 0, -3, 6, -1, 8, 3, -3, -4, -3, 3, 7, -3, -1, -1, -3, 2, 5, 5, 3], [23, 5, -3, 0, -1, -3, -13, -2, 8, -13, 4, -1, 5, -2, -6, 3, -1, 2, -2, -7], [0, -12, -2, -8, 3, -4, 2, -2, -9, 3, 0, -5, -2, -5, 10, -1, 13, -4, 2, 0], [-21, 2, 4, -2, -3, 2, -1, 4, 8, 6, 8, 0, 6, -1, 5, 5, 3, 2, 6, -5], [-14, 1, 6, -3, -3, -2, 1, -7, 6, -6, 4, -6, 7, -5, 0, 12, -13, 4, 3, -4], [21, -15, -10, -4, 0, -7, 1, -2, 3, 2, -5, 5, 3, 4, -4, -6, 5, 2, -6, -2], [0, 13, -1, 2, -1, -9, 4, -3, 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5, 4, -1, -1, 3, 2, 3, -1, 1, -1, 0, 1, 0, 6, 8, 0, -2, 1], [-19, 2, 4, -5, 3, -1, 10, 1, 5, -9, 3, 3, -10, -1, 6, 2, 4, -4, -5, -4], [-1, 3, -4, 0, -1, 6, 0, 7, -6, 15, -7, -2, 3, 3, 11, -6, -6, -10, 3, 3], [-1, -6, -1, 1, 7, 3, 0, 5, -9, 4, -2, -4, -4, 2, 1, -3, 3, 7, 2, 10], [-10, -14, 24, 2, 0, -13, 5, -2, 10, -3, 6, -2, -11, 4, -4, 6, 4, -3, 0, 3], [-10, 17, -4, 7, 6, 4, -5, 4, 8, 3, 10, -1, 5, -8, 3, 4, -2, 5, 10, -3], [21, -20, 2, -3, 4, -3, 4, -1, 1, 8, -5, 5, -1, 7, -3, 3, 10, 6, 2, 9], [17, -16, 13, 1, -6, -8, -1, -5, -6, 1, -6, 0, -2, 3, -4, -1, -4, -7, -3, -4], [-6, -2, 2, 6, 0, -6, -2, 4, -4, 1, -6, 3, -2, -1, -4, -8, -7, -9, -3, 4], [-31, 10, -15, -7, -8, 7, -1, -3, 0, 1, 8, -2, 10, -2, -3, -4, 0, 5, 1, -5], [8, -3, 6, 2, 5, -9, 1, 7, -5, 9, -9, -5, 8, 5, -2, -9, 13, 7, 6, 13], [-2, -22, 2, -3, 2, -3, 5, -1, -3, 10, 1, -3, 0, 7, 6, 5, 8, 0, 6, 6], [0, -2, -2, 1, -4, 7, -5, 2, 10, -8, 5, -5, 7, -2, 2, 7, -1, -1, 5, -6], [-3, -5, -1, 2, -7, 2, 3, -4, -17, 13, -6, 0, 9, 7, 7, -6, 3, 2, 2, 1], [-7, 8, 4, 6, -7, 3, -7, 3, 0, -5, 8, 1, 2, -4, 8, -3, -5, -9, 5, -14], [-25, 0, 7, 8, -6, 0, 0, 1, -1, -2, 3, -1, 4, 0, 5, 4, -1, 5, 7, -3], [5, 1, -4, -1, -3, 9, -6, -1, 1, 1, 4, 6, -9, -2, -1, -1, -9, -3, -7, -1], [-23, 15, 8, 7, 0, 2, 0, -5, 11, 1, 6, 0, -5, 1, 2, 5, -5, 0, -2, 0], [5, 9, -6, 6, -5, -4, 1, -3, -9, 4, -3, 3, -7, -1, -1, -3, -7, -3, -6, -6], [15, -13, 4, -13, 1, 0, 4, -1, 2, -4, 0, 0, -1, 3, 0, 8, 6, 5, -3, 8], [-8, 0, -8, -2, -8, 4, 3, -2, -4, 0, 2, 2, 5, 1, 6, -5, -6, 0, 6, -4], [-1, -1, -4, 6, 4, 0, 2, 4, 0, 0, -5, 3, 9, 1, -7, -1, 8, 8, -6, 8], [-31, 30, -11, -3, 5, 2, 2, 5, 10, 0, 10, -4, 2, -6, 2, 7, 2, 7, 8, -5], [-3, 9, -7, 2, 12, 1, -4, 4, 11, -14, 4, -1, -2, -8, -6, 3, 6, -5, -4, -2], [-2, 7, -8, 4, 3, 1, -3, 1, 5, 5, -3, -3, 6, 3, -6, 3, 2, 4, 0, 3], [-9, 15, -9, -1, -2, 4, -7, -2, 2, -7, 3, 8, 3, -6, 0, -4, -11, 1, 5, -8], [17, 4, 0, 4, 3, -2, -4, -1, 0, -6, 0, -2, 12, -5, -3, -3, 9, 3, 6, 0], [15, -7, -12, -8, 8, -2, 4, 7, -1, -2, -13, 4, 1, 1, -2, -11, 10, -1, 0, 5], [27, -20, 5, -7, 2, -8, 0, -6, -5, 7, -8, -3, -4, -3, -2, -3, 5, -3, -9, 0], [12, -24, 12, 3, -1, -5, 4, 1, -3, 20, -15, -7, 1, 12, -3, -3, 8, -1, -3, 8], [2, -13, 19, 8, -6, -7, 0, -5, -14, 14, -10, 3, 0, 9, 1, -7, 2, 1, 1, 4], [17, -9, 2, -3, 3, 1, 3, 1, -1, -6, 4, -6, -1, -5, -3, 8, -2, -4, 5, 0], [-34, -2, 7, 0, -5, -2, 2, -4, -1, 5, 7, 6, -8, -3, 15, 7, -15, -6, 1, -8], [-10, -13, 10, -5, 5, -1, 5, 4, -5, 5, 2, -4, 3, 0, 2, 0, 5, 10, 0, 6], [28, -1, 0, -2, -6, -3, 4, -4, -4, 0, -5, 10, -4, 1, 6, -2, -2, -2, -5, -5], [8, -11, -1, -6, 4, 6, 2, 8, -8, 9, -6, 3, -2, 12, 1, -9, 14, 3, 2, 8], [-6, 14, -4, 7, 11, -5, -3, 2, 0, -5, 1, -5, -3, -8, 1, -1, -3, -3, -1, 3], [-11, -2, -2, 4, -4, -3, 1, -1, 0, 5, 0, 1, 3, 0, 1, -8, 0, -2, 8, -1], [-7, 12, 8, 3, -2, -5, -5, 1, 11, 6, -3, -2, 2, -1, 0, 2, -1, -1, 3, -1], [-13, 3, 6, 2, -4, 3, 1, -3, -1, -10, 9, 2, 4, 1, 0, 11, -3, 7, 6, 0], [-2, 10, 6, 2, 3, -5, 2, 0, -1, -4, -2, -7, -3, 2, -4, 8, 3, -3, 6, 0], [2, 8, 1, 4, -4, -10, -6, -10, 5, -12, 11, 4, -6, -3, -8, 6, 3, -6, 2, -6], [-7, 7, 7, 8, 5, -1, 1, 2, 2, -4, 4, -4, -8, -6, 3, 3, 3, -10, 2, -3], [10, -3, -10, -4, 6, 0, 2, 3, 2, -2, -7, 4, 6, 4, -9, -6, 10, 2, 4, 5], [-11, -8, -4, -7, 1, 4, 10, 2, 11, -13, -7, 12, 7, 1, -2, 4, -2, 3, -3, 5], [-21, 14, -4, 3, -4, -1, -6, -6, 1, -9, 3, 0, 2, -6, -3, 4, 7, 2, -2, -7]], 'char_orbit_index': 1, 'field_poly': [31, -425, 609, 6812, -8607, -25504, 32493, 35701, -52271, -17664, 39579, -56, -15474, 2977, 3125, -1061, -274, 152, 0, -8, 1], 'hecke_orbit_code': 99079191835713345, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 4334246, 2167123, 309589, 4334246, 2167123, 2167123, 4334246, 2167123, 4334246, 4334246, 2167123, 2167123, 4334246, 2167123, 619178, 4334246], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 5, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [14, 1, 8, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0], [9, 27, 11, 9, 2, -1, 1, 1, 1, -1, 1, -1, 0, 0, 0, 1, 2, 1, 2, 1], [74, 13, 58, 12, 2, 0, -1, 1, 1, -1, 12, -2, 1, -1, 9, 11, 1, 1, 12, 0], [69, 159, 95, 70, 26, -11, 8, 13, 14, -15, 15, -14, 0, -1, -1, 14, 23, 12, 25, 11], [427, 122, 415, 110, 34, -2, -15, 16, 16, -18, 108, -31, 12, -12, 61, 95, 17, 16, 107, 3], [508, 998, 760, 522, 249, -90, 42, 125, 137, -157, 159, -142, 1, -14, -18, 143, 200, 112, 233, 94], [2627, 1029, 2969, 915, 388, -29, -159, 183, 178, -223, 881, -335, 107, -104, 368, 758, 195, 181, 861, 55], [3700, 6543, 5886, 3829, 2129, -655, 139, 1082, 1164, -1424, 1465, -1272, 28, -130, -215, 1289, 1587, 964, 1951, 749], [16903, 8274, 21318, 7272, 3757, -274, -1465, 1823, 1695, -2321, 6881, -3132, 866, -784, 2054, 5847, 1903, 1783, 6626, 682], [26897, 44173, 44880, 27907, 17254, -4470, -237, 8945, 9231, -12026, 12567, -10725, 443, -997, -2161, 10902, 12128, 8007, 15528, 5849], [112151, 64837, 153805, 56412, 33413, -2112, -12569, 16853, 14829, -21850, 52601, -27216, 6771, -5421, 10564, 44367, 17066, 16332, 49927, 7165], [195625, 304274, 339458, 203042, 135979, -29212, -10263, 72322, 70564, -97615, 103472, -87508, 5434, -6721, -19819, 88859, 91153, 65244, 120296, 45504], [760028, 500189, 1115180, 431591, 282868, -14172, -103573, 148769, 123205, -193095, 397689, -226950, 52411, -34977, 47771, 333767, 145540, 143070, 372420, 68741], [1424146, 2126070, 2556417, 1478128, 1055444, -184387, -131379, 578015, 528454, -773876, 830610, -700514, 57847, -40089, -172044, 707465, 680149, 525239, 917916, 354430], [5228188, 3819421, 8123538, 3274565, 2322373, -83371, -832969, 1273224, 989690, -1636228, 2990011, -1846013, 405455, -210305, 158548, 2498983, 1201403, 1215932, 2765411, 623089], [10376694, 15014219, 19206088, 10779432, 8123077, -1126086, -1330431, 4589665, 3911178, -6045266, 6557790, -5542441, 563630, -201460, -1440901, 5543561, 5061055, 4191957, 6943503, 2765954]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -5, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [123446515, -888775901, -1113016448, 8444727149, -3272911391, -19092142347, 16264479010, 13762066276, -17070805117, -3293131310, 7970416630, -405883602, -1910206802, 345773311, 232480171, -63248616, -11956345, 4448116, 88265, -80574], [2196193, -99590538, 377557653, 1105027913, -4410403111, -969053095, 10907649962, -3527560932, -9103752501, 5054834351, 3210092650, -2623374358, -364390775, 647447518, -57671117, -73262421, 17783216, 2264887, -1197675, 112041], [1383690, -13862243, 18340672, 165471717, -415699503, -169615722, 1092553461, -418277501, -851828022, 599709512, 245045373, -295889912, -1910609, 67984425, -12972651, -6859382, 2470224, 122280, -143864, 16028], [-44644594, 676572227, -1967839611, -8633213124, 22437701529, 14568997447, -55791961163, 5425063462, 48415589078, -17448853443, -18846899174, 10402831226, 3143549108, -2759046818, -38956001, 338768723, -48139158, -13988931, 3978132, -248879], [4552939, -52984391, 117630811, 433924998, -1821783462, 364613036, 4434806592, -3512303592, -3070652687, 3897308205, 509262882, -1805118745, 251551762, 401582731, -122444455, -38105845, 19282840, 203009, -1062848, 130444], [9434934, 28187590, -566546630, -557681979, 4110360012, -337407825, -8755673761, 4606336812, 6491602221, -5303665269, -1796894081, 2524202668, -35646282, -581410080, 117722164, 59524946, -22121079, -1062848, 1305396, -146869], [51386023, -247405745, -333016752, 1987510173, -2565501807, -662651141, 8810093974, -8503960458, -6399002549, 10741270610, 625710296, -5289287134, 962389260, 1229305933, -413198975, -120306036, 64942855, 479452, -3636757, 452378], [33626793, -50188832, -1279308585, -741296302, 7760740247, 1992882190, -16629421700, -166042331, 15286073938, -1640919567, -7326712947, 1274010673, 1985694746, -430391229, -306448870, 75577807, 25057160, -6727183, -839918, 239299], [14104789, -261345936, 53574147, 1615698465, -2384056922, 511422678, 5258752701, -8895240438, -992559901, 9547027119, -2626187800, -4115132892, 1873963420, 801626921, -524918352, -49716311, 67902593, -4253023, -3359961, 513169], [34267467, -246014754, 1034875291, 2030109247, -12057424380, 3331895996, 27608913433, -21121831192, -18817836025, 22105769119, 3476162040, -9839915902, 1139674102, 2117597099, -595632982, -196388497, 92851141, 1433657, -5014091, 600491], [31062379, -303545763, 165170286, 3719573150, -3600113430, -10831511067, 11099392631, 12281615752, -13110138889, -6649332298, 7888472785, 1733798795, -2668384327, -139289961, 513862951, -29025299, -52563575, 6917810, 2213625, -410993], [-3502341, 147237033, -545381160, -1490693552, 6479767911, -583856352, -15517251270, 10435235153, 11432686680, -12179494628, -2589729038, 5839741304, -525261149, -1345384350, 354990510, 134466805, -60346403, -1511903, 3462562, -413388], [-10476190, -16996363, -21377165, 817071694, 2556273551, -8848072497, -4642008039, 22331737484, -2787853840, -19645694201, 6906341856, 7914662926, -3982849598, -1488281912, 1050649075, 86306181, -132965184, 8850087, 6530918, -1008515], [42358963, -315155203, -483654127, 4022677293, 136389714, -13340039557, 4109230177, 18384933518, -8381823921, -12292561414, 6882461020, 4231996085, -2896884557, -695262384, 659355662, 25536710, -77052369, 6341910, 3614942, -579954], [-10261733, 82480027, 151871254, -921371945, -455638987, 3356197997, 3660472, -5275677336, 1393415281, 3845197606, -1603313970, -1408256152, 774985956, 248577527, -189215421, -12939568, 22982443, -1613038, -1102231, 170912], [-78687283, 698367060, 1064221961, -7654017971, -907539212, 25857674064, -6618531811, -38183605866, 15505936931, 27726528907, -13947586220, -10456617166, 6369622840, 1932311183, -1560069588, -107507193, 194372481, -13332635, -9628117, 1492257]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 20, 'label': '8001.2.a.w', 'level': 8001, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[3, -1], [7, -1], [127, -1]], 52, 5], [[[3, 1], [7, -1], [127, 1]], 40, 1], [[[3, 1], [7, 1], [127, 1]], 32, 1], [[[3, 1], [7, -1], [127, -1]], 22, 1], [[[3, -1], [7, 1], [127, -1]], 48, 7], [[[3, 1], [7, 1], [127, -1]], 30, 3], [[[3, -1], [7, -1], [127, 1]], 43, 5], [[[3, -1], [7, 1], [127, 1]], 47, 4]], 'ALdims': [32, 30, 40, 22, 47, 48, 43, 52], 'Nk2': 32004, 'analytic_conductor': 63.88830665722644, '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': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1017, 'dim': 314, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33562433, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 12, 13, 14, 15, 16, 16, 16, 18, 19, 20, 22, 28, 32, 40], 'label': '8001.2.a', 'level': 8001, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'mf_dim': 1032, 'mf_new_dim': 314, 'num_forms': 27, 'plus_dim': 145, 'prim_orbit_index': 1, 'relative_dim': 314, 'sturm_bound': 2048, 'trace_bound': 5, 'trace_display': [0, 0, -4, 0], 'traces': [314, 0, 0, 320, -4, 0, 0, 0, 0, 4, 16, 0, -8, 0, 0, 332, -4, 0, 4, 4, 0, -28, -4, 0, 290, -40, 0, 0, 0, 0, 12, -30, 0, -26, 8, 0, -16, 6, 0, -32, -8, 0, -8, 38, 0, 16, 36, 0, 314, 32, 0, -30, 16, 0, -8, 0, 0, 20, 20, 0, 12, -62, 0, 332, -36, 0, -8, 72, 0, 28, 52, 0, -64, -38, 0, -24, 0, 0, 16, -20, 0, -24, 16, 0, 28, 24, 0, -10, -32, 0, -4, -52, 0, 40, -44, 0, -108, 0, 0, 344, -12, 0, -48, -90, 0, 28, 84, 0, 8, 64, 0, 32, 16, 0, -68, -40, 0, -32, -4, 0, 302, 74, 0, 0, -24, 0, -10, 24, 0, 36, 16, 0, 24, 44, 0, 88, 20, 0, -20, 20, 0, 150, -56, 0, 8, -148, 0, 56, 52, 0, -48, 28, 0, 0, 112, 0, -68, 180, 0, -112, 16, 0, -84, 2, 0, 24, 4, 0, 354, -28, 0, -48, -44, 0, 16, 188, 0, 12, 12, 0, 36, -36, 0, 108, 20, 0, -68, 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mf_twists_nf • Show schema
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id: 1373783
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 20, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '8001.2.a.w', 'source_level': 8001, 'target_char_orbit': 1, 'target_dim': 20, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '889.2.a.d', 'target_level': 889, 'twist_class_label': '889.2.a.d', 'twist_class_level': 889, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1373784
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 20, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '8001.2.a.w', 'source_level': 8001, 'target_char_orbit': 1, 'target_dim': 20, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '6223.2.a.l', 'target_level': 6223, 'twist_class_label': '889.2.a.d', 'twist_class_level': 889, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1373785
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 20, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '8001.2.a.w', 'source_level': 8001, 'target_char_orbit': 1, 'target_dim': 20, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '8001.2.a.w', 'target_level': 8001, 'twist_class_label': '889.2.a.d', 'twist_class_level': 889, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4632775
{'charpoly_factorization': [[[31, 425, 609, -6812, -8607, 25504, 32493, -35701, -52271, 17664, 39579, 56, -15474, -2977, 3125, 1061, -274, -152, 0, 8, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 2}
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id: 4632776
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 99079191835713345, 'p': 3}
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id: 4632777
{'charpoly_factorization': [[[-203968, -1241664, -467616, 5947520, 2267944, -8263246, -2710324, 5458748, 1651483, -2020391, -595740, 445364, 132200, -58925, -17889, 4519, 1412, -183, -59, 3, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 5}
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id: 4632778
{'charpoly_factorization': [[[-1, 1], 20]], 'hecke_orbit_code': 99079191835713345, 'p': 7}
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id: 4632779
{'charpoly_factorization': [[[-11392, 743008, 5850048, -27027632, -49644343, 44572044, 139103627, 86640991, -15309410, -40435362, -14554935, 2269822, 2963926, 654604, -69539, -56149, -8338, 311, 231, 26, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 11}
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id: 4632780
{'charpoly_factorization': [[[-11509712, 123229184, -267988376, -8051824, 412526113, -121262151, -260063341, 81927040, 87825864, -22941885, -17003830, 3422988, 1948454, -293467, -133133, 14430, 5297, -376, -113, 4, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 13}
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id: 4632781
{'charpoly_factorization': [[[7648759472, -8595851872, -9474026928, 10948112988, 5371681587, -5708369688, -1878041878, 1575342985, 431250253, -249625165, -63456729, 23322430, 5772535, -1280814, -314482, 39812, 9778, -635, -157, 4, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 17}
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id: 4632782
{'charpoly_factorization': [[[-3061190104, 30025002182, 69148371798, -107845712030, -18225293377, 59314435216, -6131489686, -12450389728, 2517632078, 1285696564, -334962411, -72546101, 22606963, 2304155, -858326, -39994, 18521, 339, -212, -1, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 19}
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id: 4632783
{'charpoly_factorization': [[[-37130752, 366411840, 2649502560, -19929353552, -43254838200, -14799400580, 26717847572, 28596400746, 9447308331, -692757974, -1298779482, -289807035, 12801829, 14642873, 1746801, -133360, -45310, -2394, 232, 31, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 23}
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id: 4632784
{'charpoly_factorization': [[[-847113116416, 271304454400, 1828350979072, 11030718624, -1189791340640, -120001447520, 345347477608, 49675716454, -48840619699, -8766692964, 3285030631, 742257689, -90747674, -28533905, 678071, 532441, 11912, -4726, -224, 16, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 29}
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id: 4632785
{'charpoly_factorization': [[[767665605056, 1467138502526, -801345199498, -2118789884822, 124926648405, 863070683686, -16800684379, -152097883632, 7125020075, 13604536595, -1056351736, -660684814, 67187664, 17864806, -2142373, -265951, 35930, 2016, -302, -6, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 31}
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id: 4632786
{'charpoly_factorization': [[[-1123613199576, 486820420380, 1791163175704, -1143243043428, -636548286199, 594809870831, 15331673692, -100902301895, 11478563508, 8066558277, -1459687483, -347204956, 79424120, 8405024, -2303871, -112938, 36838, 770, -304, -2, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 37}
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id: 4632787
{'charpoly_factorization': [[[-9083203177744, 28703459923744, 60521554648536, -41912608109288, -36533697788801, 4885855365900, 5996235447145, 18606491766, -448630618929, -29128469024, 17930454439, 1866581889, -398100146, -55613963, 4580995, 889048, -17271, -7377, -124, 25, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 41}
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id: 4632788
{'charpoly_factorization': [[[-2352002970368, -17920022981184, 2445634297120, 28393514163728, 10223298919768, -6502983248588, -3272409325924, 430123209302, 361607146459, 2131479486, -18176037955, -1039281936, 483180882, 37001902, -7464753, -576573, 70198, 4338, -389, -13, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 43}
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id: 4632789
{'charpoly_factorization': [[[7160930336, 71173662942, 253604313244, 395642260632, 240668312075, -45188842833, -134888069040, -58172992896, 2758431947, 9320545912, 2380670340, -105545010, -132366135, -13062223, 2283441, 445588, -5998, -5095, -166, 19, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 47}
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id: 4632790
{'charpoly_factorization': [[[-4131688997632, 13914455818880, 75866371451520, -56827390892416, -65681183988704, 31415556710904, 17717190699976, -2840451729316, -1939999484851, -32373350671, 75842140008, 6304416954, -1303840520, -173274592, 9148718, 2067407, 1749, -11454, -308, 24, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 53}
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id: 4632791
{'charpoly_factorization': [[[11947401797632, 47825973970944, 23982240732672, -47790414039616, -25234668196272, 13243381314504, 8041641764388, -991295509906, -1022181339963, -51033833400, 47148653357, 5687967717, -883337144, -161364760, 5534490, 1972023, 19559, -10997, -345, 23, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 59}
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id: 4632792
{'charpoly_factorization': [[[1381335112304, -8874153165696, 13877656435424, 2111974119260, -15236508853913, 1892451432134, 6341906048523, -326214780229, -1156834225343, -105942000111, 62186817476, 8661306228, -1315022877, -232374376, 10107723, 2724373, 3814, -14260, -345, 27, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 61}
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id: 4632793
{'charpoly_factorization': [[[-1782036672242688, -5409327530249472, -4397855547200128, -75908857441472, 1065677077709040, 191388964282192, -96532279791992, -19993987843882, 4820155273225, 899971341674, -148460702907, -21305891150, 2861905494, 277154022, -33403855, -1935271, 221139, 6705, -749, -9, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 67}
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id: 4632794
{'charpoly_factorization': [[[-670552932030659456, -227771636177710384, 159147839209727768, 90590992661311436, 4735815273076249, -5608707963262716, -1118033515157538, 76700771001233, 43692447791986, 2511216641268, -641553805806, -91897105295, 1611158905, 1068391298, 51361488, -4285706, -492012, -6427, 1176, 63, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 71}
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id: 4632795
{'charpoly_factorization': [[[-1196197845840464, 1063830148460624, 1004284796308120, -628443368312032, -417451935376003, 98722047536720, 80668181211792, 1143383365712, -5354488356782, -544439578624, 146974272494, 23614439960, -1575636113, -414691327, 1789048, 3503002, 83044, -14030, -544, 21, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 73}
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id: 4632796
{'charpoly_factorization': [[[443538923776, -2282264984528, -1500061480248, 9459300561532, 11341801535081, 1063676596043, -3245134831538, -1031862570296, 215187055853, 101670966567, -6875544491, -4431631873, 166688480, 102812491, -3708948, -1285186, 54940, 7899, -396, -18, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 79}
-
id: 4632797
{'charpoly_factorization': [[[-952366014608384, 1733615114496256, 267566560683904, -952578245621248, 73170830787824, 176081556788352, -28400139200872, -13937308647310, 2950039467703, 504599632720, -131318026661, -8837887756, 2929766172, 78577909, -35438663, -360786, 233395, 881, -773, -1, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 83}
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id: 4632798
{'charpoly_factorization': [[[1207053990976, -14739420486848, -69074922086480, 55147198947728, 187905283308780, -222247556774474, 47417847960584, 22197631751920, -8667265327421, 6451087621, 332077319014, -32568526885, -3569545090, 661572082, 932957, -4815653, 153514, 14743, -726, -16, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 89}
-
id: 4632799
{'charpoly_factorization': [[[-52934605786048, -178784847691072, -25042755502976, 571961697985808, 861062150607752, 451184359391646, 16543022727094, -57809515978290, -12190409552833, 1477696088958, 610730964389, 19526001190, -8805385211, -719024266, 46285061, 6437176, -30278, -23801, -449, 32, 1], 1]], 'hecke_orbit_code': 99079191835713345, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '8001.2.a.w', 'level': 8001, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 254352000
{'hecke_orbit_code': 99079191835713345, 'n': 1, 'trace_an': 20}
-
id: 254352001
{'hecke_orbit_code': 99079191835713345, 'n': 2, 'trace_an': -8}
-
id: 254352002
{'hecke_orbit_code': 99079191835713345, 'n': 3, 'trace_an': 0}
-
id: 254352003
{'hecke_orbit_code': 99079191835713345, 'n': 4, 'trace_an': 24}
-
id: 254352004
{'hecke_orbit_code': 99079191835713345, 'n': 5, 'trace_an': -3}
-
id: 254352005
{'hecke_orbit_code': 99079191835713345, 'n': 6, 'trace_an': 0}
-
id: 254352006
{'hecke_orbit_code': 99079191835713345, 'n': 7, 'trace_an': 20}
-
id: 254352007
{'hecke_orbit_code': 99079191835713345, 'n': 8, 'trace_an': -24}
-
id: 254352008
{'hecke_orbit_code': 99079191835713345, 'n': 9, 'trace_an': 0}
-
id: 254352009
{'hecke_orbit_code': 99079191835713345, 'n': 10, 'trace_an': -8}
-
id: 254352010
{'hecke_orbit_code': 99079191835713345, 'n': 11, 'trace_an': -26}
-
id: 254352011
{'hecke_orbit_code': 99079191835713345, 'n': 12, 'trace_an': 0}
-
id: 254352012
{'hecke_orbit_code': 99079191835713345, 'n': 13, 'trace_an': -4}
-
id: 254352013
{'hecke_orbit_code': 99079191835713345, 'n': 14, 'trace_an': -8}
-
id: 254352014
{'hecke_orbit_code': 99079191835713345, 'n': 15, 'trace_an': 0}
-
id: 254352015
{'hecke_orbit_code': 99079191835713345, 'n': 16, 'trace_an': 24}
-
id: 254352016
{'hecke_orbit_code': 99079191835713345, 'n': 17, 'trace_an': -4}
-
id: 254352017
{'hecke_orbit_code': 99079191835713345, 'n': 18, 'trace_an': 0}
-
id: 254352018
{'hecke_orbit_code': 99079191835713345, 'n': 19, 'trace_an': 1}
-
id: 254352019
{'hecke_orbit_code': 99079191835713345, 'n': 20, 'trace_an': 2}
-
id: 254352020
{'hecke_orbit_code': 99079191835713345, 'n': 21, 'trace_an': 0}
-
id: 254352021
{'hecke_orbit_code': 99079191835713345, 'n': 22, 'trace_an': 1}
-
id: 254352022
{'hecke_orbit_code': 99079191835713345, 'n': 23, 'trace_an': -31}
-
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