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{'Nk2': 4180, 'analytic_conductor': 8.3443670112238, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [11, -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': [1045, 1, [837, 761, 496], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 143443265704, 'field_disc_factorization': [[2, 3], [491, 1], [36518143, 1]], 'field_poly': [8, 6, -28, -17, 28, 12, -9, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 11, 60, 21, -47, -28, 5, 6, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519445, 'hecke_ring_generator_nbound': 2, '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': True, 'label': '1045.2.a.i', 'level': 1045, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '1045.2.a.i', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(-1-\\beta _{6})q^{3}+(2+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1045.2.a', 'trace_display': [-6, -7, 8, -11], 'trace_hash': 2258748152037903392, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.899', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '138.314', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4477.672', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [8, -6, -7, 10, 8, 0, -11, -18, 11, -6, 8, -7, -17, 12, -7, 18, -9, -2, -8, 10, 1, -6, -8, 1, 8, 10, -34, -22, -3, 0, -1, -37, -7, -8, -11, 30, -17, 6, 14, -18, -5, 15, -21, 10, 11, -2, -8, 10, 19, -6, -16, 9, -19, -3, 8, 24, 7, 37, -33, -7, -1, -42, -20, 48, -17, 0, -18, -37, 16, 12, -18, 13, -18, 15, -7, -10, -11, -51, -5, 18, 32, 12, -33, -51, -9, -16, -26, -18, -20, -2, 6, -3, 18, 30, -8, 21, 0, -69, 11, 10, 4, 89, -24, -29, 1, -26, -28, -86, 4, -6, -1, -6, 7, 0, -8, -29, -32, 8, -16, 1, 8, 7, 2, 54, 8, -1, -34, -80, 39, 10, -28, -7, 11, 5, -34, 53, 54, -24, -35, -22, -27, 63, -17, -91, -3, 8, -21, -17, -5, 0, 13, 18, -22, 12, -1, 68, 19, 19, 28, -37, -7, 100, -33, -3, -7, 74, 3, 132, 55, -8, -11, 10, -10, -45, -11, 18, 84, 49, -20, 30, 8, 21, -36, 36, -17, 104, 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mf_hecke_nf • Show schema
Hide schema
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[-16, 2, -1, 16, 7, -4, -11, -1], [9, -13, 11, 2, 6, 3, -4, 2], [-23, -3, -18, -15, -2, 9, 12, 11], [15, -5, 2, -9, 2, 4, -8, 6], [-19, -2, 2, 2, 4, -12, -5, -7], [-18, 11, -15, -5, 1, 1, 4, 3], [-1, 7, 7, 0, -8, -14, 10, -7], [5, -8, 15, 2, -3, 1, 12, -4], [-19, 6, 11, 3, 0, 0, -5, 4], [-7, -19, -7, -10, 2, 8, 8, 1], [-17, 3, 2, 11, 4, 0, -10, -4], [-10, 1, -13, -20, -2, 5, 17, 12], [4, 5, -10, -13, -6, -2, 1, 3], [10, -10, 6, 12, 4, -5, -8, -3], [-30, 5, -7, -6, -8, -2, 9, 0], [14, 1, 6, -1, -10, 4, 9, 3], [16, 1, 3, -4, 2, -3, -1, -4], [-3, 24, -6, -3, 3, 0, -10, 8], [-10, -2, -13, -9, 0, 4, 2, 9], [-6, 9, 2, 8, -3, -19, -8, -13], [0, 9, 2, 9, 0, 1, 3, -8], [2, -4, 0, -14, 0, -7, 6, 3], [6, 13, 14, 8, 1, 1, -14, 6], [3, 1, 0, 6, 3, 5, -7, -10], [-8, 5, -4, 7, 8, -6, -9, -2], [-7, -5, -8, -5, 0, 7, -4, 5], [9, -5, 12, 11, 8, -7, 2, -8], [10, -12, -8, -2, 6, 9, -6, 9], [5, -2, -2, 0, -2, 0, -9, -11], [8, 1, 3, 0, -8, -2, -5, 2], [19, -6, -3, 1, 6, -3, -7, -1], [10, -16, -17, -8, 1, 4, 5, 4], [-7, 8, 12, 11, -3, -11, -14, -5], [7, -4, 5, 4, 5, -1, 6, -2], [-7, -6, 15, 22, 11, -6, -24, -5], [4, -13, 6, 5, 8, -10, -3, -7], [-19, 7, -1, 3, -3, 0, 3, 0], [1, -10, 0, -1, -7, 6, 8, 6], [-16, 8, 4, 0, -6, -10, -6, 3], [-5, -9, -10, -9, 2, 4, 10, 10], [6, 6, 10, 1, 1, -2, -13, -5], [20, -10, 12, 2, -4, 4, 12, -2], [5, -5, 11, 1, -7, -5, 19, -2], [-12, 15, 1, 0, 12, -2, -7, 6], [9, -6, 1, 3, 6, 15, -11, 3], [-23, -12, 3, -4, -1, -6, 4, -7], [13, 9, -18, -5, -4, 6, 12, 6], [17, -16, -16, -8, 2, 15, 5, 12], [-3, -16, 6, -6, 4, 3, 7, -4], [6, -7, 13, 18, 4, -15, -23, -9], [14, 10, -9, -5, -6, -1, 22, -4], [26, -14, 8, 6, -4, 6, 2, 0], [22, 13, 13, 9, -5, -2, -4, -5], [-38, -15, 5, -1, 3, 0, -8, -9], [-23, -20, 0, -8, 6, 1, 3, -2], [-4, -10, 2, -7, 3, 7, 1, 11], [-5, 8, 7, 1, -6, 1, 19, -6], [-3, 16, 3, -6, -5, 3, 2, -2], [-9, -5, -9, -5, -7, 4, 15, 3], [5, -10, -5, 3, -2, 12, 3, -3], [20, -19, 9, 2, 0, 8, 9, -6], [12, -5, -7, -4, 2, 22, 13, 15], [6, -3, 6, 7, -10, 5, 15, 2], [0, 12, 1, 0, -1, 7, -7, 11], [15, -15, 6, 14, 9, -6, -15, -3], [2, 2, 8, 7, -5, -1, -1, -6], [-20, 4, 7, 15, -6, -7, -6, -7], [-6, 16, 9, 10, -1, -9, -25, -1], [11, -4, 8, 6, 4, -5, -1, -4], [13, 9, -4, -4, 7, 6, -9, 2], [28, 2, 11, -2, -3, 1, 3, -1], [6, -10, 0, -1, -1, -9, 21, 2], [-8, 14, -5, -4, 5, 2, -3, 11], [-6, -22, -7, -15, -6, 9, 18, -2], [1, -9, -11, -5, -3, 8, 9, 8], [25, 3, -9, -4, 4, -3, 14, -6], [10, 11, -5, -12, -10, 13, 5, 9], [14, -10, 15, 4, -1, -8, 7, -10], [6, 0, 9, 2, 5, -3, -5, 0], [-21, 12, -17, -11, -2, 2, -7, 10], [-13, 15, 4, 3, 4, -9, -10, -3], [2, 6, 2, 12, 8, -6, -2, 4], [2, 14, -11, 11, 10, 0, -6, -1], [26, 3, -13, -6, -16, 14, 15, 6], [12, 3, 10, 12, 11, -6, -10, 4], [16, 15, 2, -7, 4, 0, -9, 10], [20, -15, -8, -4, -1, -4, -10, -4], [-19, 9, -8, -2, 3, 12, 5, 9], [6, -14, -11, -2, -5, 15, 19, -3], [-4, 9, 5, 0, 0, 2, 13, 10], [11, 2, 10, -4, 4, -12, 7, -2], [-1, -15, 5, 16, 0, 2, -10, -11], [-14, 3, 8, 5, -6, -1, 9, -3], [-4, 12, 10, -7, -11, -3, 13, -4], [5, 6, 1, -10, -7, 12, 8, 7], [20, -1, -5, -14, -8, 4, 7, 8], [8, -6, 9, 6, -1, -2, 13, 0], [-10, 6, -6, -4, -12, -6, 12, -6], [-4, -4, -18, -7, -5, -5, 13, 4], [2, -18, -9, -7, 4, 7, 24, -3], [1, 10, 8, -3, -9, -1, 4, -7], [-2, -3, 4, 1, 4, 1, -13, -7], [20, -10, -4, -6, 8, -3, -12, 11], [-30, -1, -12, -19, -8, 8, 19, 10], [5, -13, -6, 0, 3, 2, 17, 2], [-2, 14, -1, -12, 7, 0, 5, 10], [-28, 22, 10, 5, -9, -13, -1, -10], [10, -21, 1, 1, -7, 5, 2, -2], [-5, 14, 16, 14, 6, -4, -17, -7], [-7, 3, -12, -19, -18, 15, 16, 13], [7, -12, -13, -2, -3, 6, 30, 5], [-26, -8, 5, 6, 3, -5, 11, -12], [-6, 15, -5, -16, -6, 2, 9, 12], [-9, 6, -4, -9, -11, -4, 4, 12], [-17, 20, 15, 14, 5, -1, -14, 2], [42, -9, 9, 8, 0, -5, -3, -5], [26, -11, 8, 12, -1, -14, -2, 2], [-34, 11, -25, -5, -5, -5, 10, -12], [6, -16, -6, 11, 3, -4, -11, -13], [1, -19, -3, 8, 0, 4, 6, -13], [15, -1, 13, -9, -13, 1, 3, 1], [14, -14, -14, 5, 5, 7, 7, 3], [7, 1, 14, 1, 4, 3, -8, -3], [-2, -9, 0, -1, -6, 12, 15, 3], [26, 1, 10, 3, 2, 6, -1, 5], [-3, -10, -3, -12, 5, 12, 8, 16], [-42, 20, 1, -1, -4, -10, 0, -8], [24, -28, -6, 2, 2, 15, 4, 7], [-1, -4, -14, -4, -4, -3, 3, 2], [-7, -4, 12, 15, -1, -14, -24, -17], [3, -17, -5, -8, -12, 8, 12, 1], [-1, 12, 13, 2, 3, 2, -18, -5], [23, -10, 14, -1, 7, -6, 20, -4], [-5, -2, 9, 8, 5, -11, 2, -10], [-9, 10, -5, -8, 5, -1, -6, 6], [3, 2, -16, -6, 0, 5, -11, 7], [8, 12, 11, 12, 1, -18, -9, 0], [-9, 9, -10, 8, 15, 13, -1, 2], [-5, 8, 20, 12, 6, -3, -9, -5], [7, -18, -15, 0, -1, 7, -4, 4], [46, -11, -13, -1, -3, 3, 2, -2], [24, -15, -15, -16, 10, 6, 1, 8], [0, -8, 14, 16, 10, -3, -20, -2], [10, -5, -4, -4, -3, -9, 10, -13], [-16, -3, -7, 0, 2, -3, -7, 11], [-4, -30, 4, -1, 1, 1, 17, -5], [10, -14, -4, -1, 11, 0, 11, -13], [-5, 10, -1, -6, -1, 9, 8, 12], [-3, 7, -15, 1, 5, 5, -15, 3], [-12, -9, -17, -6, 0, 10, 13, -1], [-17, 5, -14, -17, 0, 5, 10, 11], [1, 3, -1, -8, 8, 3, 10, 17], [-45, 3, -10, 7, 6, 1, -2, 1], [-23, -9, -21, -15, 1, 4, 17, 1], [7, 20, 22, 0, 4, -9, -19, -4], [-4, 5, -12, -8, -1, -2, -2, 2], [6, 2, -4, -21, -15, 7, 23, 0], [-4, 12, 11, 6, 5, 12, -11, 1], [22, -1, 3, 3, -3, 2, 4, -5], [-25, -3, 7, 14, 12, -3, -10, -4], [24, -7, 9, 14, 6, 9, -5, 0], [12, -1, -13, -5, 3, -8, 0, -11], [-32, -2, 5, 13, -2, -7, -12, -6], [2, 8, -16, -14, 2, 6, 16, 7], [-1, 15, -2, 2, -15, 3, -5, 0], [-3, 12, 4, 11, -5, -13, 0, 2], [-10, 3, 4, 2, -1, -14, -8, -4], [16, -12, -22, 1, 1, 4, 13, -1], [18, 14, -4, 8, -2, 1, -4, -9], [-33, 0, -6, -2, 6, -8, -19, 1], [-17, 13, 4, 5, 8, -9, 10, -1], [5, 3, 15, 19, -7, -4, -25, -20], [14, -16, -15, 0, 7, 18, -1, 8], [-14, -24, 18, 23, -1, -5, -9, -12], [5, 3, 8, -2, -3, -22, 11, -5], [-9, -3, 14, 9, 8, 2, -10, 6], [26, -15, -8, 8, 11, 0, 6, -8], [-21, 4, -6, -14, -4, 12, -3, 4], [-13, -2, -3, 12, 15, 13, -4, -4], [11, 6, -14, -2, 0, 7, -11, 0], [-32, -16, -11, 3, -8, 6, 12, -7], [-17, 21, 5, -4, -10, 3, 14, 4], [31, -14, 15, -3, -16, -6, 1, -12], [-21, -1, 13, 10, 10, -2, -6, -2], [19, -15, -8, -7, 12, 4, 14, 8], [3, -24, -8, 2, -4, 7, 15, 10], [-1, -36, -3, -3, -4, 7, 13, 1], [16, 0, 10, 10, 10, -7, -24, 8], [-18, 1, 6, 13, 12, -16, -13, -5], [27, -25, -1, -2, -6, 5, -4, -3], [-35, -9, -5, 0, 12, -13, -16, -6], [17, -11, 2, -6, 7, -6, -3, 1], [-8, 7, 19, 11, -9, -5, -26, -8], [-3, 21, 24, 18, -11, -14, -13, -10], [-16, 27, -15, -9, -3, -3, -8, 8], [-35, -1, -3, 6, 12, -8, 0, 1], [17, -13, -2, 0, 9, 7, 17, -4], [-19, -15, -20, 1, 8, 4, 6, -4], [-1, -15, 0, -1, -6, 6, 22, 4], [23, 7, 17, 18, 4, -14, -10, -5], [26, 1, 13, 4, -10, 5, -13, -4], [16, -12, 14, -8, -6, -2, -6, 5], [-5, -10, 5, -5, 4, 4, 3, 2], [-6, -8, -9, 0, -7, -3, 21, -1], [5, 13, 5, -8, -4, 4, -18, 3], [1, 1, 24, 31, 2, -4, -12, -16], [-16, -1, -7, 14, 8, 12, -11, 7], [-45, -11, -2, -6, 5, 0, -1, -1], [4, 14, -16, -27, -13, 8, 23, 18], [8, 7, 25, 4, -10, -13, 9, -17], [-13, -12, 8, 2, -14, -5, 3, -11], [-13, 27, 11, 9, 3, -5, -27, 3], [-4, 3, 14, 16, -7, -11, -8, -13], [11, -9, -14, -1, -2, 2, -4, -2], [22, -5, 8, -14, 3, 20, 22, 2], [46, -4, 7, -16, -9, 6, 1, 3], [-21, -15, -3, 13, 11, -10, -9, -10], [13, -15, 7, 16, 10, -14, -12, -12], [14, 3, -3, -9, -7, -2, 6, 7], [-10, 10, 12, 13, -5, -10, 5, -20], [-24, 7, 17, 9, -3, -10, -8, -11], [-36, -3, 20, 12, 7, -8, -10, -16], [-20, 16, 4, 11, 9, 4, -15, 6], [-15, 11, 11, 30, 6, -11, -22, -1], [10, 0, -2, 5, 3, 4, 1, -2], [3, -11, -3, -5, 5, 4, 13, -6], [34, -10, -10, -1, -11, 12, 5, -5], [-4, 6, 9, 13, 8, 7, -16, 10]], 'char_orbit_index': 1, 'field_poly': [8, 6, -28, -17, 28, 12, -9, -2, 1], 'hecke_orbit_code': 36028797052519445, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [3, 1, 1, 0, 0, 0, 0, 0], [3, 5, 2, 1, 0, 0, 0, 0], [16, 9, 8, 2, 1, 0, 0, 0], [31, 31, 19, 9, 3, 1, 1, 1], [109, 71, 61, 24, 14, 3, 2, 2], [268, 215, 160, 79, 42, 15, 13, 12]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-3, -1, 1, 0, 0, 0, 0, 0], [3, -3, -2, 1, 0, 0, 0, 0], [2, 5, -4, -2, 1, 0, 0, 0], [-12, -8, 21, 10, -8, -2, 1, 0], [11, -4, -29, 11, 18, -6, -3, 1], [-6, 12, 19, -24, -13, 9, 2, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1045.2.a.i', 'level': 1045, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[5, -1], [11, -1], [19, -1]], 9, 1], [[[5, 1], [11, 1], [19, -1]], 9, 1], [[[5, -1], [11, 1], [19, 1]], 8, 2], [[[5, 1], [11, 1], [19, 1]], 7, 2], [[[5, -1], [11, 1], [19, -1]], 6, 2], [[[5, -1], [11, -1], [19, 1]], 8, 1], [[[5, 1], [11, -1], [19, 1]], 7, 1], [[[5, 1], [11, -1], [19, -1]], 5, 1]], 'ALdims': [7, 9, 7, 5, 8, 6, 8, 9], 'Nk2': 4180, 'analytic_conductor': 8.3443670112238, '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': [1045, 1, [837, 761, 496], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 117, 'dim': 59, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555477, 'hecke_orbit_dims': [1, 1, 2, 5, 5, 6, 6, 7, 8, 9, 9], 'label': '1045.2.a', 'level': 1045, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 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724, -240, -36], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 629529
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '1045.2.a.i', 'source_level': 1045, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1045.2.a.i', 'target_level': 1045, 'twist_class_label': '1045.2.a.i', 'twist_class_level': 1045, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 629530
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '1045.2.a.i', 'source_level': 1045, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5225.2.a.o', 'target_level': 5225, 'twist_class_label': '1045.2.a.i', 'twist_class_level': 1045, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629531
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '1045.2.a.i', 'source_level': 1045, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9405.2.a.bf', 'target_level': 9405, 'twist_class_label': '1045.2.a.i', 'twist_class_level': 1045, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1629925
{'charpoly_factorization': [[[-1, 11, 60, 21, -47, -28, 5, 6, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 2}
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id: 1629926
{'charpoly_factorization': [[[-16, -44, 92, 59, -67, -40, 7, 7, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 3}
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id: 1629927
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 36028797052519445, 'p': 5}
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id: 1629928
{'charpoly_factorization': [[[896, 2384, 1792, -47, -489, -120, 23, 11, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 7}
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id: 1629929
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 36028797052519445, 'p': 11}
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id: 1629930
{'charpoly_factorization': [[[-13392, 25704, 17766, -1453, -2544, -329, 65, 17, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 13}
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id: 1629931
{'charpoly_factorization': [[[8344, 23908, 22974, 7505, -434, -585, -47, 9, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 17}
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id: 1629932
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 36028797052519445, 'p': 19}
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id: 1629933
{'charpoly_factorization': [[[1504, 88, -5196, 2571, 832, -289, -48, 8, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 23}
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id: 1629934
{'charpoly_factorization': [[[84152, 84028, -56750, -5567, 5302, -73, -133, 3, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 29}
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id: 1629935
{'charpoly_factorization': [[[-35840, 95104, -35124, -7061, 3818, 79, -115, 1, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 31}
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id: 1629936
{'charpoly_factorization': [[[-280640, -185152, 51526, 29089, -1995, -1394, -28, 17, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 37}
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id: 1629937
{'charpoly_factorization': [[[30440, -50028, -13742, 10435, 2283, -531, -110, 5, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 41}
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id: 1629938
{'charpoly_factorization': [[[-18944, 12032, 15100, -1005, -2631, -290, 101, 21, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 43}
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id: 1629939
{'charpoly_factorization': [[[29984, 132584, 113116, 30399, -226, -1153, -104, 8, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 47}
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id: 1629940
{'charpoly_factorization': [[[10528, -47584, 16662, 7563, -2166, -579, 59, 19, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 53}
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id: 1629941
{'charpoly_factorization': [[[6694912, 13720992, 5411584, 321439, -72498, -8117, 57, 33, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 59}
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id: 1629942
{'charpoly_factorization': [[[25298072, -457052, -1826334, 32971, 42070, -499, -369, 1, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 61}
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id: 1629943
{'charpoly_factorization': [[[56432, 148348, 112344, 13061, -8866, -2124, -43, 18, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 67}
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id: 1629944
{'charpoly_factorization': [[[-833024, -600192, 11164, 68299, 3954, -2305, -106, 18, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 71}
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id: 1629945
{'charpoly_factorization': [[[-22472, 16324, 22750, 701, -2704, -410, 67, 18, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 73}
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id: 1629946
{'charpoly_factorization': [[[-197248, -1156976, -191152, 80581, 13209, -1402, -234, 5, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 79}
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id: 1629947
{'charpoly_factorization': [[[2043584, 2611504, 666740, -115971, -51030, -3841, 197, 33, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 83}
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id: 1629948
{'charpoly_factorization': [[[216, 3132, 9930, 8089, -1092, -938, 23, 20, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 89}
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id: 1629949
{'charpoly_factorization': [[[9664, 352512, -116266, -130095, 43918, 556, -419, 0, 1], 1]], 'hecke_orbit_code': 36028797052519445, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '1045.2.a.i', 'level': 1045, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 195161000
{'hecke_orbit_code': 36028797052519445, 'n': 1, 'trace_an': 8}
-
id: 195161001
{'hecke_orbit_code': 36028797052519445, 'n': 2, 'trace_an': -6}
-
id: 195161002
{'hecke_orbit_code': 36028797052519445, 'n': 3, 'trace_an': -7}
-
id: 195161003
{'hecke_orbit_code': 36028797052519445, 'n': 4, 'trace_an': 10}
-
id: 195161004
{'hecke_orbit_code': 36028797052519445, 'n': 5, 'trace_an': 8}
-
id: 195161005
{'hecke_orbit_code': 36028797052519445, 'n': 6, 'trace_an': 0}
-
id: 195161006
{'hecke_orbit_code': 36028797052519445, 'n': 7, 'trace_an': -11}
-
id: 195161007
{'hecke_orbit_code': 36028797052519445, 'n': 8, 'trace_an': -18}
-
id: 195161008
{'hecke_orbit_code': 36028797052519445, 'n': 9, 'trace_an': 11}
-
id: 195161009
{'hecke_orbit_code': 36028797052519445, 'n': 10, 'trace_an': -6}
-
id: 195161010
{'hecke_orbit_code': 36028797052519445, 'n': 11, 'trace_an': 8}
-
id: 195161011
{'hecke_orbit_code': 36028797052519445, 'n': 12, 'trace_an': -7}
-
id: 195161012
{'hecke_orbit_code': 36028797052519445, 'n': 13, 'trace_an': -17}
-
id: 195161013
{'hecke_orbit_code': 36028797052519445, 'n': 14, 'trace_an': 12}
-
id: 195161014
{'hecke_orbit_code': 36028797052519445, 'n': 15, 'trace_an': -7}
-
id: 195161015
{'hecke_orbit_code': 36028797052519445, 'n': 16, 'trace_an': 18}
-
id: 195161016
{'hecke_orbit_code': 36028797052519445, 'n': 17, 'trace_an': -9}
-
id: 195161017
{'hecke_orbit_code': 36028797052519445, 'n': 18, 'trace_an': -2}
-
id: 195161018
{'hecke_orbit_code': 36028797052519445, 'n': 19, 'trace_an': -8}
-
id: 195161019
{'hecke_orbit_code': 36028797052519445, 'n': 20, 'trace_an': 10}
-
id: 195161020
{'hecke_orbit_code': 36028797052519445, 'n': 21, 'trace_an': 1}
-
id: 195161021
{'hecke_orbit_code': 36028797052519445, 'n': 22, 'trace_an': -6}
-
id: 195161022
{'hecke_orbit_code': 36028797052519445, 'n': 23, 'trace_an': -8}
-
id: 195161023
{'hecke_orbit_code': 36028797052519445, 'n': 24, 'trace_an': 1}
-
id: 195161024
{'hecke_orbit_code': 36028797052519445, 'n': 25, 'trace_an': 8}
-
id: 195161025
{'hecke_orbit_code': 36028797052519445, 'n': 26, 'trace_an': 10}
-
id: 195161026
{'hecke_orbit_code': 36028797052519445, 'n': 27, 'trace_an': -34}
-
id: 195161027
{'hecke_orbit_code': 36028797052519445, 'n': 28, 'trace_an': -22}
-
id: 195161028
{'hecke_orbit_code': 36028797052519445, 'n': 29, 'trace_an': -3}
-
id: 195161029
{'hecke_orbit_code': 36028797052519445, 'n': 30, 'trace_an': 0}
-
id: 195161030
{'hecke_orbit_code': 36028797052519445, 'n': 31, 'trace_an': -1}
-
id: 195161031
{'hecke_orbit_code': 36028797052519445, 'n': 32, 'trace_an': -37}
-
id: 195161032
{'hecke_orbit_code': 36028797052519445, 'n': 33, 'trace_an': -7}
-
id: 195161033
{'hecke_orbit_code': 36028797052519445, 'n': 34, 'trace_an': -8}
-
id: 195161034
{'hecke_orbit_code': 36028797052519445, 'n': 35, 'trace_an': -11}
-
id: 195161035
{'hecke_orbit_code': 36028797052519445, 'n': 36, 'trace_an': 30}
-
id: 195161036
{'hecke_orbit_code': 36028797052519445, 'n': 37, 'trace_an': -17}
-
id: 195161037
{'hecke_orbit_code': 36028797052519445, 'n': 38, 'trace_an': 6}
-
id: 195161038
{'hecke_orbit_code': 36028797052519445, 'n': 39, 'trace_an': 14}
-
id: 195161039
{'hecke_orbit_code': 36028797052519445, 'n': 40, 'trace_an': -18}
-
id: 195161040
{'hecke_orbit_code': 36028797052519445, 'n': 41, 'trace_an': -5}
-
id: 195161041
{'hecke_orbit_code': 36028797052519445, 'n': 42, 'trace_an': 15}
-
id: 195161042
{'hecke_orbit_code': 36028797052519445, 'n': 43, 'trace_an': -21}
-
id: 195161043
{'hecke_orbit_code': 36028797052519445, 'n': 44, 'trace_an': 10}
-
id: 195161044
{'hecke_orbit_code': 36028797052519445, 'n': 45, 'trace_an': 11}
-
id: 195161045
{'hecke_orbit_code': 36028797052519445, 'n': 46, 'trace_an': -2}
-
id: 195161046
{'hecke_orbit_code': 36028797052519445, 'n': 47, 'trace_an': -8}
-
id: 195161047
{'hecke_orbit_code': 36028797052519445, 'n': 48, 'trace_an': 10}
-
id: 195161048
{'hecke_orbit_code': 36028797052519445, 'n': 49, 'trace_an': 19}
-
id: 195161049
{'hecke_orbit_code': 36028797052519445, 'n': 50, 'trace_an': -6}
-
id: 195161050
{'hecke_orbit_code': 36028797052519445, 'n': 51, 'trace_an': -16}
-
id: 195161051
{'hecke_orbit_code': 36028797052519445, 'n': 52, 'trace_an': 9}
-
id: 195161052
{'hecke_orbit_code': 36028797052519445, 'n': 53, 'trace_an': -19}
-
id: 195161053
{'hecke_orbit_code': 36028797052519445, 'n': 54, 'trace_an': -3}
-
id: 195161054
{'hecke_orbit_code': 36028797052519445, 'n': 55, 'trace_an': 8}
-
id: 195161055
{'hecke_orbit_code': 36028797052519445, 'n': 56, 'trace_an': 24}
-
id: 195161056
{'hecke_orbit_code': 36028797052519445, 'n': 57, 'trace_an': 7}
-
id: 195161057
{'hecke_orbit_code': 36028797052519445, 'n': 58, 'trace_an': 37}
-
id: 195161058
{'hecke_orbit_code': 36028797052519445, 'n': 59, 'trace_an': -33}
-
id: 195161059
{'hecke_orbit_code': 36028797052519445, 'n': 60, 'trace_an': -7}
-
id: 195161060
{'hecke_orbit_code': 36028797052519445, 'n': 61, 'trace_an': -1}
-
id: 195161061
{'hecke_orbit_code': 36028797052519445, 'n': 62, 'trace_an': -42}
-
id: 195161062
{'hecke_orbit_code': 36028797052519445, 'n': 63, 'trace_an': -20}
-
id: 195161063
{'hecke_orbit_code': 36028797052519445, 'n': 64, 'trace_an': 48}
-
id: 195161064
{'hecke_orbit_code': 36028797052519445, 'n': 65, 'trace_an': -17}
-
id: 195161065
{'hecke_orbit_code': 36028797052519445, 'n': 66, 'trace_an': 0}
-
id: 195161066
{'hecke_orbit_code': 36028797052519445, 'n': 67, 'trace_an': -18}
-
id: 195161067
{'hecke_orbit_code': 36028797052519445, 'n': 68, 'trace_an': -37}
-
id: 195161068
{'hecke_orbit_code': 36028797052519445, 'n': 69, 'trace_an': 16}
-
id: 195161069
{'hecke_orbit_code': 36028797052519445, 'n': 70, 'trace_an': 12}
-
id: 195161070
{'hecke_orbit_code': 36028797052519445, 'n': 71, 'trace_an': -18}
-
id: 195161071
{'hecke_orbit_code': 36028797052519445, 'n': 72, 'trace_an': 13}
-
id: 195161072
{'hecke_orbit_code': 36028797052519445, 'n': 73, 'trace_an': -18}
-
id: 195161073
{'hecke_orbit_code': 36028797052519445, 'n': 74, 'trace_an': 15}
-
id: 195161074
{'hecke_orbit_code': 36028797052519445, 'n': 75, 'trace_an': -7}
-
id: 195161075
{'hecke_orbit_code': 36028797052519445, 'n': 76, 'trace_an': -10}
-
id: 195161076
{'hecke_orbit_code': 36028797052519445, 'n': 77, 'trace_an': -11}
-
id: 195161077
{'hecke_orbit_code': 36028797052519445, 'n': 78, 'trace_an': -51}
-
id: 195161078
{'hecke_orbit_code': 36028797052519445, 'n': 79, 'trace_an': -5}
-
id: 195161079
{'hecke_orbit_code': 36028797052519445, 'n': 80, 'trace_an': 18}
-
id: 195161080
{'hecke_orbit_code': 36028797052519445, 'n': 81, 'trace_an': 32}
-
id: 195161081
{'hecke_orbit_code': 36028797052519445, 'n': 82, 'trace_an': 12}
-
id: 195161082
{'hecke_orbit_code': 36028797052519445, 'n': 83, 'trace_an': -33}
-
id: 195161083
{'hecke_orbit_code': 36028797052519445, 'n': 84, 'trace_an': -51}
-
id: 195161084
{'hecke_orbit_code': 36028797052519445, 'n': 85, 'trace_an': -9}
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