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mf_newforms • Show schema
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{'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_index': 82, 'dim': 12, 'field_disc': 1586874322944, 'field_disc_factorization': [[2, 12], [3, 18]], 'field_poly': [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 36, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [729, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 1]], [5, [2985984, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 1]], [7, [1, 0, 0, -1, 0, 0, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547070067278553, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 12, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 2, 9, 3, 1, 3, 0], [1, 2, 9, 4, -1, 6, 0], [1, 3, 27, 5, 1, 9, 0], [1, 3, 27, 6, -1, 18, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '729.2.e.n', 'level': 729, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '243.2.a.c', 'nf_label': '12.0.1586874322944.1', 'prim_orbit_index': 5, 'qexp_display': 'q-\\beta_{8} q^{2}+(\\beta_{7}-\\beta_{2})q^{4}-2\\beta_{4} q^{5}+\\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': [0, 0, 0, 0], 'trace_hash': 730595707232694039, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.522', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3185.222', 'prec': 27}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1199450.773', 'prec': 37}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.838', 'prec': 17}, 'traces': [12, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -102, 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mf_hecke_nf • Show schema
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{'an': [[1, 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, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, -2, 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, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 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, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 12, 0], [0, 0, 28, 0, 0, 0, 0, -28, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0], [35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, -22], [0, 0, 0, 0, 0, 0, 0, -23, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -6, 0], [0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22], [0, 0, -49, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0], [0, 0, 0, 0, 0, 0, 0, -23, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, -37, 0, 0, 0, 37, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16], [-16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4], [0, 0, 0, 37, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0], [0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4], [0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0]], 'char_orbit_index': 5, 'field_poly': [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1], 'hecke_orbit_code': 58547070067278553, 'hecke_ring_character_values': [[2, [0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], '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], [0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1]], 'hecke_ring_numerators': [[1, 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, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '729.2.e.n', 'level': 729, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'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_index': 82, '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_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, '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
Hide schema
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id: 473631
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '243.2.a.c', 'target_level': 243, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473632
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '243.2.a.c', 'target_level': 243, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473633
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '243.2.c.d', 'target_level': 243, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473634
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '243.2.c.d', 'target_level': 243, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473635
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '729.2.e.n', 'target_level': 729, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473636
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '729.2.e.n', 'target_level': 729, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473637
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '729.2.e.n', 'target_level': 729, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473638
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '729.2.e.n', 'target_level': 729, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473639
{'conductor': 27, 'degree': 6, 'multiplicity': 3, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '729.2.e.n', 'target_level': 729, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473640
{'conductor': 27, 'degree': 6, 'multiplicity': 3, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '729.2.e.n', 'target_level': 729, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473641
{'conductor': 108, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3888.2.a.ba', 'target_level': 3888, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '108.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 473642
{'conductor': 108, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3888.2.a.ba', 'target_level': 3888, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '108.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 473643
{'conductor': 135, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '6075.2.a.bm', 'target_level': 6075, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '135.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 473644
{'conductor': 135, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '729.2.e.n', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '6075.2.a.bm', 'target_level': 6075, 'twist_class_label': '243.2.a.c', 'twist_class_level': 243, 'twisting_char_label': '135.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1260325
{'charpoly_factorization': [[[729, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 2}
-
id: 1260326
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 58547070067278553, 'p': 3}
-
id: 1260327
{'charpoly_factorization': [[[2985984, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 5}
-
id: 1260328
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 2]], 'hecke_orbit_code': 58547070067278553, 'p': 7}
-
id: 1260329
{'charpoly_factorization': [[[2985984, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 11}
-
id: 1260330
{'charpoly_factorization': [[[15625, 0, 0, 125, 0, 0, 1], 2]], 'hecke_orbit_code': 58547070067278553, 'p': 13}
-
id: 1260331
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 58547070067278553, 'p': 17}
-
id: 1260332
{'charpoly_factorization': [[[1, -1, 1], 6]], 'hecke_orbit_code': 58547070067278553, 'p': 19}
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id: 1260333
{'charpoly_factorization': [[[12230590464, 0, 0, 0, 0, 0, 110592, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 23}
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id: 1260334
{'charpoly_factorization': [[[2985984, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 29}
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id: 1260335
{'charpoly_factorization': [[[15625, 0, 0, 125, 0, 0, 1], 2]], 'hecke_orbit_code': 58547070067278553, 'p': 31}
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id: 1260336
{'charpoly_factorization': [[[1, -1, 1], 6]], 'hecke_orbit_code': 58547070067278553, 'p': 37}
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id: 1260337
{'charpoly_factorization': [[[2985984, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 41}
-
id: 1260338
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 2]], 'hecke_orbit_code': 58547070067278553, 'p': 43}
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id: 1260339
{'charpoly_factorization': [[[2985984, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 47}
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id: 1260340
{'charpoly_factorization': [[[-108, 0, 1], 6]], 'hecke_orbit_code': 58547070067278553, 'p': 53}
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id: 1260341
{'charpoly_factorization': [[[2985984, 0, 0, 0, 0, 0, 1728, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 59}
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id: 1260342
{'charpoly_factorization': [[[64, 0, 0, 8, 0, 0, 1], 2]], 'hecke_orbit_code': 58547070067278553, 'p': 61}
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id: 1260343
{'charpoly_factorization': [[[262144, 0, 0, 512, 0, 0, 1], 2]], 'hecke_orbit_code': 58547070067278553, 'p': 67}
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id: 1260344
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 3]], 'hecke_orbit_code': 58547070067278553, 'p': 71}
-
id: 1260345
{'charpoly_factorization': [[[4, 2, 1], 6]], 'hecke_orbit_code': 58547070067278553, 'p': 73}
-
id: 1260346
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 2]], 'hecke_orbit_code': 58547070067278553, 'p': 79}
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id: 1260347
{'charpoly_factorization': [[[12230590464, 0, 0, 0, 0, 0, 110592, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 58547070067278553, 'p': 83}
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id: 1260348
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 3]], 'hecke_orbit_code': 58547070067278553, 'p': 89}
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id: 1260349
{'charpoly_factorization': [[[24137569, 0, 0, 4913, 0, 0, 1], 2]], 'hecke_orbit_code': 58547070067278553, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 14, 'label': '729.2.e.n', 'level': 729, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 59258191
{'hecke_orbit_code': 58547070067278553, 'n': 1, 'trace_an': 12}
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id: 59258192
{'hecke_orbit_code': 58547070067278553, 'n': 2, 'trace_an': 0}
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id: 59258193
{'hecke_orbit_code': 58547070067278553, 'n': 3, 'trace_an': 0}
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id: 59258194
{'hecke_orbit_code': 58547070067278553, 'n': 4, 'trace_an': 0}
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id: 59258195
{'hecke_orbit_code': 58547070067278553, 'n': 5, 'trace_an': 0}
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id: 59258196
{'hecke_orbit_code': 58547070067278553, 'n': 6, 'trace_an': 0}
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id: 59258197
{'hecke_orbit_code': 58547070067278553, 'n': 7, 'trace_an': 0}
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id: 59258198
{'hecke_orbit_code': 58547070067278553, 'n': 8, 'trace_an': 0}
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id: 59258199
{'hecke_orbit_code': 58547070067278553, 'n': 9, 'trace_an': 0}
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id: 59258200
{'hecke_orbit_code': 58547070067278553, 'n': 10, 'trace_an': -36}
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id: 59258201
{'hecke_orbit_code': 58547070067278553, 'n': 11, 'trace_an': 0}
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id: 59258202
{'hecke_orbit_code': 58547070067278553, 'n': 12, 'trace_an': 0}
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id: 59258203
{'hecke_orbit_code': 58547070067278553, 'n': 13, 'trace_an': 0}
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id: 59258204
{'hecke_orbit_code': 58547070067278553, 'n': 14, 'trace_an': 0}
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id: 59258205
{'hecke_orbit_code': 58547070067278553, 'n': 15, 'trace_an': 0}
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id: 59258206
{'hecke_orbit_code': 58547070067278553, 'n': 16, 'trace_an': 0}
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id: 59258207
{'hecke_orbit_code': 58547070067278553, 'n': 17, 'trace_an': 0}
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id: 59258208
{'hecke_orbit_code': 58547070067278553, 'n': 18, 'trace_an': 0}
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id: 59258209
{'hecke_orbit_code': 58547070067278553, 'n': 19, 'trace_an': 6}
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id: 59258210
{'hecke_orbit_code': 58547070067278553, 'n': 20, 'trace_an': 0}
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id: 59258211
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