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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': 10, 'hecke_orbit_code': 40532671557796569, '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.j', '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+(-1-\\beta _{6}-\\beta _{7}+\\beta _{11})q^{2}+(1-\\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': 2008486374166616052, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.988', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '421.386', 'prec': 24}, {'__RealLiteral__': 0, 'data': '15.935', 'prec': 20}, {'__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, -42, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1], [0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 1, 0, 1, -2, -1, 0, 0, -1, 1], [-1, 3, 0, -1, 0, 1, -1, -2, -1, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, 1, 1, 0, 2, 2, 1, 0, -1, 0], [2, -2, -1, 1, 0, 0, 1, -1, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, -1, -1, 2, 1, 1, -1, -1, 0, -1], [1, 2, 0, -1, -1, -4, 1, 1, 1, -2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -4, -1, 1, -1, -4, 2, -1, 2, 2, 0, 0], [-1, 2, 1, 1, 1, -2, -1, -1, -1, -2, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -1, 0, 0, -1, 2, 2, 2, 2, 1, -2], [2, 5, 0, -1, -1, -2, -3, -4, -1, -3, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 2, 1, 0, 1, -4, -2, -2, 4, -1, 1], [2, -1, -1, 0, 1, -1, 2, 2, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, 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[14, -9, 7, 8, 5, -5, 0, -8, 0, 0, 5, -8], [-2, -10, -1, 1, 0, -11, 12, -4, -2, 4, -3, 2], [-10, -11, 7, 0, -7, 10, 7, -5, -7, -4, -4, 4], [7, 5, 8, 0, 3, 2, -19, 5, -7, 0, -8, 1], [-6, -13, 3, 5, -3, 11, 5, 0, -3, -6, -5, 8], [-5, 12, 0, 1, 3, 4, 1, -1, -1, -16, -2, 3], [13, 0, 3, 4, 4, -8, -18, -18, 4, 10, -4, -3], [-1, 7, -4, 1, 6, -6, 6, -5, 0, 6, 6, -1], [-4, 10, 0, -2, 0, 16, -16, 4, -4, 13, -4, 4], [10, -9, 6, 15, 15, -6, -6, -6, 0, 4, 0, -6], [-11, -10, -4, 0, 3, -16, 2, -10, 5, 0, 4, 1], [-1, -3, 0, 2, 2, 1, -6, 12, 2, 18, -7, 7], [1, 6, -9, -8, -8, 1, 0, 0, 1, 10, -1, 9], [14, -11, 2, -2, 3, -3, 6, 1, 0, 6, 3, 2], [-2, 0, -7, -8, -7, 4, 22, 5, 8, 4, 0, 1], [8, -9, -2, 2, -1, 1, 18, -11, 0, 18, -1, -2], [7, -18, 3, -3, -3, 15, 21, 21, 6, 4, -6, -3], [13, -11, -6, 4, 10, -13, 12, -2, 10, 0, 5, -5], [1, -13, 13, 0, 9, 6, -7, -13, -8, 0, -13, 5], [-24, -13, 3, 5, 3, 5, -19, 0, -3, -6, -5, 2], [-31, 9, 1, -11, -12, 31, -8, 14, -12, -6, -10, 10], [-1, 4, 0, 2, -1, 17, 1, -2, -1, 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-14, 13, -12], [-4, 15, 3, 0, 0, 15, -6, 15, 0, 0, -3, 3], [-27, -14, 6, 0, -10, 0, -3, -16, -6, -20, 0, 10], [-1, 1, 0, -10, -4, 2, 10, 10, 5, -7, -6, -4], [15, -8, 5, 7, 7, 4, -8, -8, -3, 10, 3, -5], [-14, 5, -8, -8, -9, 9, 12, 5, 0, 12, -9, 8], [-3, 11, 0, 5, 1, -6, -5, -5, -7, -7, 4, 1], [-9, 6, 3, 0, 3, 6, -6, 6, 0, 0, -3, 3], [-11, 17, -4, 0, -15, 14, 5, 17, -1, 0, 4, -5], [3, -2, -6, 6, 4, 2, 2, 5, 2, -17, 18, 0], [-16, 7, 0, -10, 2, 2, 7, 10, -7, -16, -12, 2], [-18, 1, -10, -5, -5, 4, 4, 4, 0, -8, 0, 10], [-1, -1, 5, 6, 0, 2, -7, -4, -1, 8, 4, 1], [-12, 0, 1, 11, 1, 2, -3, -13, -11, 2, 0, 4], [-14, 15, 4, -4, 5, -11, -9, -1, -9, -10, 7, 0], [-14, -5, -6, -5, 1, 14, 3, -2, 1, -15, -7, 7], [2, 2, 2, 2, 2, 12, -4, 10, -2, 4, -2, 0], [5, 1, -1, 0, 0, -15, -14, 1, -4, 0, 1, -5], [-7, 10, 0, 5, 8, -1, -20, -5, -19, 2, -3, 8], [17, 2, -8, 10, 10, -11, -1, -1, -1, 25, 1, 8], [11, 11, -1, -12, 0, -10, 11, 2, 11, -22, 10, -11], [-16, 12, -16, -10, -4, 4, -8, 36, 0, -8, -4, 10], [16, -3, 2, -2, -3, 28, 1, 10, 1, -10, -2, 0], [3, -2, 11, 11, 0, -3, -4, -11, 0, -2, 5, -5], [14, -6, 0, 0, 0, -12, -6, -6, 6, 0, 0, 6], [-3, 19, 0, 0, -8, -10, 8, -7, 8, 4, 3, 0], [-1, 8, 2, 9, 0, -7, 5, -25, -1, 8, 1, 1], [2, -2, 8, 1, 0, 0, -3, -17, 0, -3, 0, -1], [8, 0, 6, -3, 6, 6, -13, 2, 3, 6, 0, -2], [-3, -6, 1, 16, 0, -8, 7, -21, -3, 10, -2, 3], [16, -11, -1, 4, 0, 2, 23, -1, 1, -2, -4, 4], [1, -19, -2, 0, 3, 6, 29, -19, 1, 0, 2, -1], [18, 13, -3, 0, -4, -6, 9, -7, 3, 16, 0, 4], [0, -32, -3, 3, -5, -7, 8, -4, 8, 10, -3, 0], [6, -6, -9, 3, 0, 15, -6, 24, 6, 14, -3, -6], [-18, 0, -1, -1, -1, -5, 9, -17, 1, -5, 0, 11]], 'char_orbit_index': 5, 'field_poly': [1, 0, 132, 0, 306, 0, 266, 0, 105, 0, 18, 0, 1], 'hecke_orbit_code': 40532671557796569, 'hecke_ring_character_values': [[2, [0, 0, 0, 0, 0, 0, 0, 1, 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.j', '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: 473567
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473568
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473569
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473570
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473571
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473572
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473573
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473574
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473575
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473576
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473577
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473578
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473579
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473580
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473581
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473582
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '729.2.e.j', '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1260225
{'charpoly_factorization': [[[9, -81, 324, -144, 360, 144, -69, -72, -18, 12, 15, 6, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 2}
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id: 1260226
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 40532671557796569, 'p': 3}
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id: 1260227
{'charpoly_factorization': [[[25281, 10017, 2808, 3978, 846, -711, 363, 135, -9, -21, 15, -6, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 5}
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id: 1260228
{'charpoly_factorization': [[[18496, -21216, 79680, -33104, 144, 1296, 921, -522, 162, -2, -12, 3, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 7}
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id: 1260229
{'charpoly_factorization': [[[788544, -511488, -11664, 114552, -39384, -3582, 9759, -5265, 1818, -447, 87, -12, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 11}
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id: 1260230
{'charpoly_factorization': [[[7921, 9879, 12198, 3859, 8577, -4905, 4215, -2907, 909, -20, -39, 3, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 13}
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id: 1260231
{'charpoly_factorization': [[[210681, 223074, 285768, 71442, 77274, 18711, 14769, 2430, 1323, 270, 81, 9, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 17}
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id: 1260232
{'charpoly_factorization': [[[87616, -174048, 320880, -141152, 102636, -8172, 17637, 279, 2169, 490, 129, 12, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 19}
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id: 1260233
{'charpoly_factorization': [[[207936, 377568, 197856, -492120, 324900, -19368, -8763, 3033, -468, -111, 51, -6, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 23}
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id: 1260234
{'charpoly_factorization': [[[97594641, -136834029, 91653822, -38017764, 10772145, -2012436, 212799, -16029, 6930, -1113, 96, -12, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 29}
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id: 1260235
{'charpoly_factorization': [[[1032256, 304800, -517056, 261952, 640692, 247050, 44769, 9036, 1134, -65, 60, -6, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 31}
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id: 1260236
{'charpoly_factorization': [[[259499881, -148798833, 136307154, 14382607, 12197421, 875754, 560877, 49716, 14859, 535, 138, 3, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 37}
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id: 1260237
{'charpoly_factorization': [[[534025881, -283894065, 145009224, -34126965, -225117, 1467036, -171816, -15993, 7344, -1569, 276, -24, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 41}
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id: 1260238
{'charpoly_factorization': [[[300814336, -123211776, 44193792, 1452544, 165888, 1217664, 314688, -1728, -4176, 16, 24, -6, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 43}
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id: 1260239
{'charpoly_factorization': [[[314565696, -252205920, 330337872, -134125776, 21107016, -615942, -157749, 28989, -4320, 66, 177, -21, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 47}
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id: 1260240
{'charpoly_factorization': [[[1944, -14580, 1620, 729, -81, -9, 1], 2]], 'hecke_orbit_code': 40532671557796569, 'p': 53}
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id: 1260241
{'charpoly_factorization': [[[166464, -763776, 1361664, 2180448, 1867464, 1082934, 341859, 38421, -441, -372, 78, -15, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 59}
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id: 1260242
{'charpoly_factorization': [[[2483776, 15072864, 29174448, 12355792, -1316952, -3096666, 1338123, -321219, 57411, -6572, 600, -33, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 61}
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id: 1260243
{'charpoly_factorization': [[[298874944, 89206080, -20363712, -64561160, 48361032, -19472400, 5334177, -1016343, 136242, -13196, 924, -42, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 67}
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id: 1260244
{'charpoly_factorization': [[[862949376, 609140736, 353839104, 104509440, 29922048, 5225472, 1271808, 176256, 29808, 1728, 180, 0, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 71}
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id: 1260245
{'charpoly_factorization': [[[3317875201, 2132389020, 1361321841, 242511088, 85050117, 11914866, 3914682, 353628, 48825, 2236, 300, 12, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 73}
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id: 1260246
{'charpoly_factorization': [[[8681766976, 1674931776, 651681408, 224984248, 30605976, 5967360, 1685721, 164385, 39492, 8341, 915, 48, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 79}
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id: 1260247
{'charpoly_factorization': [[[18870336, -22988448, 33679584, -21158208, 5998356, -260514, -187881, 22959, 1998, -375, 87, -12, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 83}
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id: 1260248
{'charpoly_factorization': [[[15365337849, -2178792189, 1597483944, -64953171, 97725123, -3590568, 2930769, 55242, 49221, -27, 306, 9, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 89}
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id: 1260249
{'charpoly_factorization': [[[333099001, -568609905, 199424523, 80094823, 13504293, -925164, -106458, -24381, 1224, -29, 132, 3, 1], 1]], 'hecke_orbit_code': 40532671557796569, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 10, 'label': '729.2.e.j', '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: 208780000
{'hecke_orbit_code': 40532671557796569, 'n': 1, 'trace_an': 12}
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id: 208780001
{'hecke_orbit_code': 40532671557796569, 'n': 2, 'trace_an': -6}
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id: 208780002
{'hecke_orbit_code': 40532671557796569, 'n': 3, 'trace_an': 0}
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id: 208780003
{'hecke_orbit_code': 40532671557796569, 'n': 4, 'trace_an': 6}
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id: 208780004
{'hecke_orbit_code': 40532671557796569, 'n': 5, 'trace_an': 6}
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id: 208780005
{'hecke_orbit_code': 40532671557796569, 'n': 6, 'trace_an': 0}
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id: 208780006
{'hecke_orbit_code': 40532671557796569, 'n': 7, 'trace_an': -3}
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id: 208780007
{'hecke_orbit_code': 40532671557796569, 'n': 8, 'trace_an': 6}
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id: 208780008
{'hecke_orbit_code': 40532671557796569, 'n': 9, 'trace_an': 0}
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id: 208780009
{'hecke_orbit_code': 40532671557796569, 'n': 10, 'trace_an': -6}
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id: 208780010
{'hecke_orbit_code': 40532671557796569, 'n': 11, 'trace_an': 12}
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id: 208780011
{'hecke_orbit_code': 40532671557796569, 'n': 12, 'trace_an': 0}
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id: 208780012
{'hecke_orbit_code': 40532671557796569, 'n': 13, 'trace_an': -3}
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id: 208780013
{'hecke_orbit_code': 40532671557796569, 'n': 14, 'trace_an': 15}
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id: 208780014
{'hecke_orbit_code': 40532671557796569, 'n': 15, 'trace_an': 0}
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id: 208780015
{'hecke_orbit_code': 40532671557796569, 'n': 16, 'trace_an': -36}
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id: 208780016
{'hecke_orbit_code': 40532671557796569, 'n': 17, 'trace_an': -9}
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id: 208780017
{'hecke_orbit_code': 40532671557796569, 'n': 18, 'trace_an': 0}
-
id: 208780018
{'hecke_orbit_code': 40532671557796569, 'n': 19, 'trace_an': -12}
-
id: 208780019
{'hecke_orbit_code': 40532671557796569, 'n': 20, 'trace_an': 42}
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id: 208780020
{'hecke_orbit_code': 40532671557796569, 'n': 21, 'trace_an': 0}
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id: 208780021
{'hecke_orbit_code': 40532671557796569, 'n': 22, 'trace_an': 6}
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id: 208780022
{'hecke_orbit_code': 40532671557796569, 'n': 23, 'trace_an': 6}
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id: 208780023
{'hecke_orbit_code': 40532671557796569, 'n': 24, 'trace_an': 0}
-
id: 208780024
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