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mf_newforms • Show schema
Hide schema
{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'cm_discs': [], 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'dim': 12, 'field_disc': 55649466460449, 'field_disc_factorization': [[3, 18], [379, 2]], 'field_poly': [1, 0, 132, 0, 306, 0, 266, 0, 105, 0, 18, 0, 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': [[2, [9, 81, 324, 144, 360, -144, -69, 72, -18, -12, 15, -6, 1]], [5, [25281, -10017, 2808, -3978, 846, 711, 363, -135, -9, 21, 15, 6, 1]], [7, [18496, -21216, 79680, -33104, 144, 1296, 921, -522, 162, -2, -12, 3, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90072267458872025, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '729.2.e.u', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '729.2.a.b', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\beta _{1}+\\beta _{5}-\\beta _{6}-\\beta _{8})q^{2}+(-1+2\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '729.2.e', 'trace_display': [6, 0, -6, -3], 'trace_hash': 1551648749192478049, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.988', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.662', 'prec': 17}, {'__RealLiteral__': 0, 'data': '421.386', 'prec': 24}, {'__RealLiteral__': 0, 'data': '723.326', 'prec': 24}, {'__RealLiteral__': 0, 'data': '24062.704', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [12, 6, 0, 6, -6, 0, -3, -6, 0, -6, -12, 0, -3, -15, 0, -36, 9, 0, -12, -42, 0, 6, -6, 0, 6, 48, 0, 6, -12, 0, 6, -54, 0, -9, -30, 0, -3, -42, 0, -57, -24, 0, 6, 33, 0, 3, -21, 0, 33, -21, 0, 45, -18, 0, 30, -3, 0, 33, -15, 0, 33, 30, 0, -6, 6, 0, 42, 18, 0, 24, 0, 0, -12, 3, 0, -87, 57, 0, -48, -42, 0, -42, -12, 0, -36, 30, 0, 30, 9, 0, -18, 48, 0, 33, -30, 0, -3, -18, 0, 15, 78, 0, 33, 6, 0, 36, -72, 0, -12, 72, 0, -3, 48, 0, -39, 33, 0, 30, 27, 0, -30, 93, 0, 81, -39, 0, -12, 60, 0, 6, -24, 0, -33, 84, 0, -18, -30, 0, -12, 87, 0, -72, -33, 0, 21, 3, 0, 30, 3, 0, 42, -75, 0, 57, -21, 0, -3, -60, 0, -72, 6, 0, -30, -51, 0, -66, 30, 0, 87, 9, 0, 60, 60, 0, 72, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, 0, -1, -1, 1, -2, 0, -1, 0, -1, 1], [0, 1, 0, 0, 1, -1, -1, -1, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, -1, -1, 1, 0, 1, 0, 0, -1, 1], [-2, 3, -1, -1, -1, -2, -2, -2, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 3, 1, -1, 0, 2, -3, -1, -1, 0, 0, 1], [0, 0, 0, 1, 1, 1, -2, 1, 0, 2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 1, 0, -1, 1, 0, -1], [-1, 0, 0, -1, 0, -2, 5, -1, 1, -2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, 0, -1, -2, -2, -2, -3, 0, -2, 1, 1], [0, 0, 1, 1, 0, -2, 1, -3, 0, -2, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 2, -1, 0, 0, -1, -1, -1, -1, -2, 1, 1], [-5, 5, 1, -1, 0, 0, -3, -4, 0, -3, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, 1, -1, -1, 4, 0, 5, 0, -4, -2, 0], [-1, -2, 1, 0, -1, 1, 1, 1, -1, 2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 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3, -11, 2, 5, -5, 0, 4, 0, 0, 5, -2], [0, 0, -3, -8, -3, -2, 1, 3, 8, -2, 0, 2], [-1, -5, -2, 0, 2, 1, 10, 10, 2, 2, 5, -5], [8, 4, 0, -4, -4, -7, 4, 4, 8, -4, 0, -4], [12, 1, 0, 6, 0, 1, -7, -6, 5, 6, 6, 0], [-1, -10, 1, 10, 10, 1, 5, 5, -1, -2, 1, -1], [-8, -17, -7, 1, -3, -7, 11, -4, 7, -8, -1, 4], [-2, 3, -1, 1, -6, 4, 7, 7, 7, -4, -2, 0], [4, -4, -4, 0, 0, -4, 8, -4, 2, 0, 4, -2], [-4, -8, 5, -5, -6, 6, 1, 5, 1, -10, 0, 0], [0, -5, -3, -3, 5, -3, 3, 8, 3, -8, 3, -8], [12, -1, 2, 6, 6, -4, -1, -1, -1, 10, 1, -2], [-5, 13, 3, 1, -2, 5, -18, -8, -2, -6, -4, 4], [8, 0, 4, 1, -3, -8, -5, -1, -3, 15, -4, 4], [5, 0, 3, 0, 3, 6, 8, 2, 0, 6, 0, 7], [-4, 2, 11, 2, 5, 6, -13, -2, -11, -5, -2, -3], [19, -1, -2, 0, 9, 0, 5, -1, 1, 0, 2, -1], [-8, -7, 5, 0, -3, 8, 5, -7, -1, 0, -5, 4], [-5, 8, -2, -5, 3, -3, 0, 14, 0, 0, 3, 5], [0, 17, -9, -4, -6, -10, -7, -3, 9, 18, 4, 2], [-1, -2, 3, -5, 0, -2, -1, 4, -1, 4, 2, 1], [-1, 7, 0, -1, -1, -10, 1, 1, -1, -7, 0, -1], [0, 14, 0, -1, -2, 12, -8, 1, 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-1], [13, 3, 0, -3, -3, -3, -3, -3, 3, 13, -3, 0], [5, -8, -2, 3, 5, -5, 7, -8, 5, -7, 2, -2], [10, 0, 0, 1, 6, -5, -14, -1, 2, 8, -5, 6], [2, -4, -7, 3, 0, -1, 8, 2, 2, 2, -5, -2], [8, -7, 8, -6, 1, -1, -7, -13, 0, -7, 1, 6], [10, 3, -2, 2, 2, -5, 0, -13, 0, 14, 1, 0], [10, 8, 4, 0, -12, 24, 8, 8, -8, 0, -4, -4], [14, -5, -4, 4, -3, 9, 7, -1, 7, 2, 3, 0], [-3, 9, 3, 1, -2, -23, -11, -29, -3, 8, -1, 3], [3, 0, -4, 2, -4, 16, -6, 7, -2, 16, 0, 8], [-10, 1, 0, -1, 5, -4, -2, 1, -7, -4, -6, 5], [6, 4, 0, 3, 0, -17, 8, -3, 14, -12, 3, 0], [-18, 1, 8, -5, -5, 4, 4, 4, 0, -26, 0, -8], [14, -7, -1, 2, 2, 6, 17, 7, 1, -2, -2, 0], [14, 1, 2, 0, 3, -3, -8, 1, -4, 0, -2, -2], [20, -12, 1, 2, 8, -8, 9, -11, 0, 9, 8, -2], [-2, 11, -4, -11, 0, 10, -6, 8, -2, 10, -6, 2], [-5, -12, 0, -11, -3, 4, 19, 11, 11, -4, -8, -3], [23, 0, -5, -2, 3, -23, 7, 5, 3, 18, 5, -5], [-1, 5, -7, 0, 0, 2, 5, -4, -1, 2, -8, 1], [-1, 0, -9, -3, -9, 18, 5, 8, 3, 18, 0, 7], [-8, -18, -13, 13, 12, -20, 1, 1, 1, 14, -2, 0], [-4, 15, 3, 0, 0, 15, -6, 15, 0, 0, -3, 3], [-3, 16, 0, 0, 10, 11, -10, 14, -10, -20, 6, 0], [-3, 0, 6, 10, 6, 7, -14, -9, -10, 7, 0, 5], [2, 1, 3, 7, 0, 7, -10, 1, 2, 10, 5, -2], [-10, -3, 9, 8, -1, 10, 3, -3, -1, -12, 8, -8], [-12, 0, 4, 5, 4, -7, -3, -16, -5, -7, 0, 7], [9, -6, -3, 0, -3, -6, 6, -6, 0, 0, 3, -3], [-11, 17, -4, 0, -15, 14, 5, 17, -1, 0, 4, -5], [-24, -11, 18, 6, 2, 18, -21, -4, -18, -17, -6, 4], [9, 0, 12, 10, 12, 16, -20, -3, -10, 16, 0, -7], [-10, 1, 0, -5, 0, 10, -10, 4, -10, -8, -10, 10], [-12, 2, -4, -6, -6, -1, 5, 5, 5, -8, -5, 4], [0, 2, 0, 11, 10, -9, -14, -11, -4, 2, 1, 10], [1, -5, -7, 4, 9, -1, -7, 11, 7, 10, -4, -5], [-13, 7, -7, -5, -6, 6, -15, 10, 0, -15, -6, 5], [-2, 12, 2, -2, 0, 4, -2, 4, -2, -4, -2, 0], [-5, -1, 1, 0, 0, 15, 14, -1, 4, 0, -1, 5], [18, 0, 3, -5, 3, -2, 1, 15, 5, -2, 0, -19], [-9, -9, 1, 10, 0, -2, 1, -12, -9, 25, -8, 9], [12, -10, -10, 12, 12, -1, -1, -1, -1, 22, 1, 10], [-18, -26, -4, -10, -6, 18, 20, -2, -6, -8, -16, 16], [23, 8, 2, 2, -1, 0, 14, -5, -2, 10, -2, 3], [11, 0, 5, 11, 11, -11, -2, -9, 0, -2, 11, -11], [14, -6, 0, 0, 0, -12, -6, -6, 6, 0, 0, 6], [15, 7, 3, 0, 8, -24, 0, -19, -3, 4, 0, -8], [-9, -16, -1, -9, -9, 23, 17, 17, 2, -8, -2, 1], [4, 16, 0, 1, 1, -4, -9, 1, 1, -3, 8, -8], [9, 1, 0, -3, -9, 10, 2, 3, 2, 6, 6, -9], [8, 5, -2, 16, 16, -20, -10, -10, -1, 10, 1, 2], [22, 3, 4, -4, -4, 19, 0, -7, 0, 2, 1, 0], [-1, 19, 2, 0, -3, -6, -29, 19, -1, 0, -2, 1], [-6, 7, 0, 0, 4, -19, -4, -13, -4, 16, -3, 0], [15, 1, -3, 3, 8, 21, 3, 29, 3, 10, -3, -5], [-11, 27, 3, -3, -3, -15, -3, -3, -9, -14, 9, -3], [-2, -18, 0, 1, 0, 7, 13, -1, 11, 5, 1, 0]], 'char_orbit_index': 5, 'field_poly': [1, 0, 132, 0, 306, 0, 266, 0, 105, 0, 18, 0, 1], 'hecke_orbit_code': 90072267458872025, 'hecke_ring_character_values': [[2, [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 8, 8, 8, 4, 8, 8, 8, 4, 4, 8, 4], 'hecke_ring_inverse_denominators': [1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, -2, -1, -2, 3, 1, 1, -2, 1, -2], [-4, 1, 1, 0, -1, 2, -1, 1, 0, 0, -1, 1], [-1, -7, -1, 14, 7, 20, -27, -7, -10, 20, -1, 11], [30, -12, -12, 0, 10, -20, 16, -12, 3, 0, 12, -9], [-8, 43, -11, -122, -61, -182, 261, 79, 103, -200, -11, -92], [-269, 126, 118, 0, -100, 192, -170, 126, -37, 0, -118, 81], [119, -298, 164, 1136, 568, 1700, -2538, -838, -1024, 1958, 164, 860], [2539, -1253, -1137, 0, 983, -1842, 1685, -1253, 381, 0, 1137, -756], [-1262, 2401, -1763, -10814, -5407, -16184, 24597, 8413, 10000, -18998, -1763, -8237], [-24325, 12223, 10951, 0, -9563, 17722, -16403, 12223, -3754, 0, -10951, 7197], [12524, -21352, 17618, 103808, 51904, 155366, -237822, -82456, -96949, 183710, 17618, 79331]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 31, 63, -21, 58, -106, 15, -72, 1, -16, 0, -1], [1, 16, 163, 63, 285, 58, 160, 15, 33, 1, 2, 0], [11, 126, -159, 301, -285, 204, -160, 47, -33, 3, -2, 0], [-3, 0, 222, 0, 343, 0, 175, 0, 34, 0, 2, 0], [3, 59, -411, 58, -702, 15, -394, 1, -82, 0, -5, 0], [3, -59, -411, -58, -702, -15, -394, -1, -82, 0, -5, 0], [5, -90, 474, -37, 760, 91, 409, 71, 83, 16, 5, 1], [7, 78, 356, -158, 583, -389, 321, -232, 66, -49, 4, -3], [-2, -42, 0, -335, 0, -477, 0, -249, 0, -50, 0, -3], [13, -22, 549, 495, 881, 866, 482, 481, 99, 99, 6, 6], [11, -78, 356, 158, 583, 389, 321, 232, 66, 49, 4, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '729.2.e.u', 'level': 729, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'cusp_dim': 378, 'dim': 198, 'eis_dim': 216, 'eis_new_dim': 36, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 274911462105, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '729.2.e', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 594, 'mf_new_dim': 234, 'num_forms': 21, 'prim_orbit_index': 5, 'relative_dim': 33, 'sturm_bound': 162, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [198, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1044, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1224, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1260, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -774, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 810, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -1602, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -1422, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1332, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 2664, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 531, 0, 0, 0, 0, 0, 0, 0, 0, 2556], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 473749
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '729.2.a.b', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473750
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '729.2.a.e', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473751
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '729.2.c.a', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473752
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '729.2.c.d', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473753
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '729.2.e.j', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473754
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '729.2.e.j', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473755
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '729.2.e.k', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473756
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '729.2.e.k', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473757
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '729.2.e.l', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473758
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '729.2.e.l', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473759
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '729.2.e.s', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473760
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '729.2.e.s', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473761
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '729.2.e.t', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473762
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '729.2.e.t', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473763
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '729.2.e.u', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473764
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '729.2.e.u', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '729.2.e.u', 'target_level': 729, 'twist_class_label': '729.2.a.b', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1260525
{'charpoly_factorization': [[[9, 81, 324, 144, 360, -144, -69, 72, -18, -12, 15, -6, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 2}
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id: 1260526
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 90072267458872025, 'p': 3}
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id: 1260527
{'charpoly_factorization': [[[25281, -10017, 2808, -3978, 846, 711, 363, -135, -9, 21, 15, 6, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 5}
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id: 1260528
{'charpoly_factorization': [[[18496, -21216, 79680, -33104, 144, 1296, 921, -522, 162, -2, -12, 3, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 7}
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id: 1260529
{'charpoly_factorization': [[[788544, 511488, -11664, -114552, -39384, 3582, 9759, 5265, 1818, 447, 87, 12, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 11}
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id: 1260530
{'charpoly_factorization': [[[7921, 9879, 12198, 3859, 8577, -4905, 4215, -2907, 909, -20, -39, 3, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 13}
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id: 1260531
{'charpoly_factorization': [[[210681, -223074, 285768, -71442, 77274, -18711, 14769, -2430, 1323, -270, 81, -9, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 17}
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id: 1260532
{'charpoly_factorization': [[[87616, -174048, 320880, -141152, 102636, -8172, 17637, 279, 2169, 490, 129, 12, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 19}
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id: 1260533
{'charpoly_factorization': [[[207936, -377568, 197856, 492120, 324900, 19368, -8763, -3033, -468, 111, 51, 6, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 23}
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id: 1260534
{'charpoly_factorization': [[[97594641, 136834029, 91653822, 38017764, 10772145, 2012436, 212799, 16029, 6930, 1113, 96, 12, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 29}
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id: 1260535
{'charpoly_factorization': [[[1032256, 304800, -517056, 261952, 640692, 247050, 44769, 9036, 1134, -65, 60, -6, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 31}
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id: 1260536
{'charpoly_factorization': [[[259499881, -148798833, 136307154, 14382607, 12197421, 875754, 560877, 49716, 14859, 535, 138, 3, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 37}
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id: 1260537
{'charpoly_factorization': [[[534025881, 283894065, 145009224, 34126965, -225117, -1467036, -171816, 15993, 7344, 1569, 276, 24, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 41}
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id: 1260538
{'charpoly_factorization': [[[300814336, -123211776, 44193792, 1452544, 165888, 1217664, 314688, -1728, -4176, 16, 24, -6, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 43}
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id: 1260539
{'charpoly_factorization': [[[314565696, 252205920, 330337872, 134125776, 21107016, 615942, -157749, -28989, -4320, -66, 177, 21, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 47}
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id: 1260540
{'charpoly_factorization': [[[1944, 14580, 1620, -729, -81, 9, 1], 2]], 'hecke_orbit_code': 90072267458872025, 'p': 53}
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id: 1260541
{'charpoly_factorization': [[[166464, 763776, 1361664, -2180448, 1867464, -1082934, 341859, -38421, -441, 372, 78, 15, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 59}
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id: 1260542
{'charpoly_factorization': [[[2483776, 15072864, 29174448, 12355792, -1316952, -3096666, 1338123, -321219, 57411, -6572, 600, -33, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 61}
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id: 1260543
{'charpoly_factorization': [[[298874944, 89206080, -20363712, -64561160, 48361032, -19472400, 5334177, -1016343, 136242, -13196, 924, -42, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 67}
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id: 1260544
{'charpoly_factorization': [[[862949376, -609140736, 353839104, -104509440, 29922048, -5225472, 1271808, -176256, 29808, -1728, 180, 0, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 71}
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id: 1260545
{'charpoly_factorization': [[[3317875201, 2132389020, 1361321841, 242511088, 85050117, 11914866, 3914682, 353628, 48825, 2236, 300, 12, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 73}
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id: 1260546
{'charpoly_factorization': [[[8681766976, 1674931776, 651681408, 224984248, 30605976, 5967360, 1685721, 164385, 39492, 8341, 915, 48, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 79}
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id: 1260547
{'charpoly_factorization': [[[18870336, 22988448, 33679584, 21158208, 5998356, 260514, -187881, -22959, 1998, 375, 87, 12, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 83}
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id: 1260548
{'charpoly_factorization': [[[15365337849, 2178792189, 1597483944, 64953171, 97725123, 3590568, 2930769, -55242, 49221, 27, 306, -9, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 89}
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id: 1260549
{'charpoly_factorization': [[[333099001, -568609905, 199424523, 80094823, 13504293, -925164, -106458, -24381, 1224, -29, 132, 3, 1], 1]], 'hecke_orbit_code': 90072267458872025, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 21, 'label': '729.2.e.u', 'level': 729, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 250969000
{'hecke_orbit_code': 90072267458872025, 'n': 1, 'trace_an': 12}
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id: 250969001
{'hecke_orbit_code': 90072267458872025, 'n': 2, 'trace_an': 6}
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id: 250969002
{'hecke_orbit_code': 90072267458872025, 'n': 3, 'trace_an': 0}
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id: 250969003
{'hecke_orbit_code': 90072267458872025, 'n': 4, 'trace_an': 6}
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id: 250969004
{'hecke_orbit_code': 90072267458872025, 'n': 5, 'trace_an': -6}
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id: 250969005
{'hecke_orbit_code': 90072267458872025, 'n': 6, 'trace_an': 0}
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id: 250969006
{'hecke_orbit_code': 90072267458872025, 'n': 7, 'trace_an': -3}
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id: 250969007
{'hecke_orbit_code': 90072267458872025, 'n': 8, 'trace_an': -6}
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id: 250969008
{'hecke_orbit_code': 90072267458872025, 'n': 9, 'trace_an': 0}
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id: 250969009
{'hecke_orbit_code': 90072267458872025, 'n': 10, 'trace_an': -6}
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id: 250969010
{'hecke_orbit_code': 90072267458872025, 'n': 11, 'trace_an': -12}
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id: 250969011
{'hecke_orbit_code': 90072267458872025, 'n': 12, 'trace_an': 0}
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id: 250969012
{'hecke_orbit_code': 90072267458872025, 'n': 13, 'trace_an': -3}
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id: 250969013
{'hecke_orbit_code': 90072267458872025, 'n': 14, 'trace_an': -15}
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id: 250969014
{'hecke_orbit_code': 90072267458872025, 'n': 15, 'trace_an': 0}
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id: 250969015
{'hecke_orbit_code': 90072267458872025, 'n': 16, 'trace_an': -36}
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id: 250969016
{'hecke_orbit_code': 90072267458872025, 'n': 17, 'trace_an': 9}
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id: 250969017
{'hecke_orbit_code': 90072267458872025, 'n': 18, 'trace_an': 0}
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id: 250969018
{'hecke_orbit_code': 90072267458872025, 'n': 19, 'trace_an': -12}
-
id: 250969019
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id: 250969999
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