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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, 'conrey_indexes': [82, 163, 325, 406, 568, 649], '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, [9, 0, -27, 0, 36, 0, 3, 0, 9, 0, 6, 0, 1]], [5, [9, 0, -54, 0, 117, 0, 327, 0, 180, 0, -3, 0, 1]], [7, [1, 12, 60, -46, 12, -3, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043470439908057, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 27, 5, 1, 9, 0], [1, 1, 27, 6, -1, 18, 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.m', '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.c', 'nf_label': '12.0.1586874322944.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\zeta_{36}^{2}+\\zeta_{36}^{7}-\\zeta_{36}^{9}+\\zeta_{36}^{11})q^{2}+\\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, 6], 'trace_hash': 1366854646219546582, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.071', 'prec': 17}, {'__RealLiteral__': 0, 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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, -1, 0, 0, 0, 0, 1, 0, -1, 0, 1], [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, -2, 1, 1, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 0, 1, -1, 2, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, -2, -1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, -3, -2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, -5, 3, 2, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 2, 2, -3, -2, 0, 0, 0, 0, 0], [0, 0, -3, 0, 0, 0, 0, 3, 0, -2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 2, -2, 1, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 0, 0, 6, -1, -3, -2, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, -1, 4, -1, -1, 0, 0, 0, 0, 0], [0, 0, -3, 0, 0, 0, 0, 2, -1, 0, 1, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 5, 2, -5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 3, 5, 0, -5, 0, 0, 0, 0, 0], [0, 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0], [0, 0, -15, 0, 0, 0, 0, 15, -28, -2, 15, 0], [0, -25, 0, 17, 1, 17, -25, 0, 0, 0, 0, 0], [0, 0, 19, 0, 0, 0, 0, -23, 1, 23, -2, -22], [-12, 0, 0, 12, -17, -11, -29, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, -14, 25, 0, 5, -9], [8, 4, 0, 0, -12, -12, 14, 0, 0, 0, 0, 0], [0, 0, 13, 0, 0, 0, 0, 0, 0, -13, 1, 16], [-8, -8, 0, 2, 14, -6, -2, 0, 0, 0, 0, 0], [0, 0, -23, 0, 0, 0, 0, 42, -19, -27, 4, 19], [0, 5, 0, -19, -5, -19, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 40, -6, -26, 6, 14], [-16, 0, 0, 16, 24, -5, 8, 0, 0, 0, 0, 0], [0, 0, 25, 0, 0, 0, 0, -23, 0, 0, -2, -25], [-4, 24, 0, 24, 0, -24, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, -11, 4, 8, -7, 3], [0, 2, 0, -16, 28, -16, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, 16, 12, -16, 10], [0, 0, -28, 0, 0, 0, 0, 13, 3, -13, -6, 16], [0, 0, -3, 0, 0, 0, 0, -9, -1, -2, 2, 2], [7, -6, 0, 0, -1, -1, 29, 0, 0, 0, 0, 0], [0, 0, -7, 0, 0, 0, 0, 0, 0, 7, -1, -19], [0, 0, -4, 0, 0, 0, 0, 4, 1, -5, -1, 10], [0, 0, -8, 0, 0, 0, 0, 1, 7, -13, 8, -15], [0, -9, 0, 24, 7, 24, -9, 0, 0, 0, 0, 0], [-8, -34, 0, -3, 5, 0, -5, 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': 54043470439908057, 'hecke_ring_character_values': [[2, [0, 0, 0, 1, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 0, 0, 3, -2, -2, 3, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 3, -1, -1, 0, 3], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, -2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 3, -1, -1, 0, 0]], '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, 1, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0], [0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '729.2.e.m', '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_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_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: 473615
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '729.2.a.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473616
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '729.2.a.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473617
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.c.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473618
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '729.2.c.c', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473619
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '729.2.e.m', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473620
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '729.2.e.m', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473621
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '729.2.e.m', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473622
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '729.2.e.m', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473623
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '729.2.e.q', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473624
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '729.2.e.q', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473625
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '729.2.e.q', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473626
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '729.2.e.q', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473627
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '729.2.e.r', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473628
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '729.2.e.r', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473629
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '729.2.e.r', 'target_level': 729, 'twist_class_label': '729.2.a.c', 'twist_class_level': 729, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473630
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '729.2.e.m', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '729.2.e.r', 'target_level': 729, 'twist_class_label': '729.2.a.c', '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
-
id: 1260300
{'charpoly_factorization': [[[9, 0, -27, 0, 36, 0, 3, 0, 9, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 2}
-
id: 1260301
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 54043470439908057, 'p': 3}
-
id: 1260302
{'charpoly_factorization': [[[9, 0, -54, 0, 117, 0, 327, 0, 180, 0, -3, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 5}
-
id: 1260303
{'charpoly_factorization': [[[1, 12, 60, -46, 12, -3, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 7}
-
id: 1260304
{'charpoly_factorization': [[[1172889, 0, -243675, 0, 69804, 0, -6477, 0, 225, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 11}
-
id: 1260305
{'charpoly_factorization': [[[5041, -4047, 1572, -379, 75, -12, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 13}
-
id: 1260306
{'charpoly_factorization': [[[95004009, 0, 17105985, 0, 2290518, 0, 122661, 0, 4806, 0, 81, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 17}
-
id: 1260307
{'charpoly_factorization': [[[361, -741, 1293, -430, 105, -12, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 19}
-
id: 1260308
{'charpoly_factorization': [[[751689, 0, -4252635, 0, 10230876, 0, 306615, 0, 4365, 0, 78, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 23}
-
id: 1260309
{'charpoly_factorization': [[[16867449, 0, 1145853, 0, 40050, 0, 6888, 0, 153, 0, -21, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 29}
-
id: 1260310
{'charpoly_factorization': [[[5329, -438, 1122, -361, -6, 6, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 31}
-
id: 1260311
{'charpoly_factorization': [[[289, -102, 87, -16, 15, -3, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 37}
-
id: 1260312
{'charpoly_factorization': [[[71014329, 0, 18429849, 0, 1111464, 0, -26106, 0, 3456, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 41}
-
id: 1260313
{'charpoly_factorization': [[[64, -96, 96, -64, 48, -12, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 43}
-
id: 1260314
{'charpoly_factorization': [[[9, 0, -243, 0, 2790, 0, 408, 0, 81, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 47}
-
id: 1260315
{'charpoly_factorization': [[[-15552, 0, 2592, 0, -108, 0, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 53}
-
id: 1260316
{'charpoly_factorization': [[[9, 0, 8775, 0, 2421585, 0, -427272, 0, 32310, 0, -75, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 59}
-
id: 1260317
{'charpoly_factorization': [[[87616, -35520, 3408, 8, 48, 6, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 61}
-
id: 1260318
{'charpoly_factorization': [[[63001, -54969, 10194, 1772, 192, 6, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 67}
-
id: 1260319
{'charpoly_factorization': [[[2985984, 0, 2239488, 0, 1555200, 0, 89856, 0, 3888, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 71}
-
id: 1260320
{'charpoly_factorization': [[[7921, -6141, 4227, -592, 105, 6, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 73}
-
id: 1260321
{'charpoly_factorization': [[[11449, 32421, 28176, 4139, 417, 24, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 79}
-
id: 1260322
{'charpoly_factorization': [[[2405238079689, 0, -48029295627, 0, 200995812, 0, 11076699, 0, 55809, 0, 78, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 83}
-
id: 1260323
{'charpoly_factorization': [[[60886809, 0, 125987238, 0, 257673555, 0, 6232896, 0, 133623, 0, 387, 0, 1], 1]], 'hecke_orbit_code': 54043470439908057, 'p': 89}
-
id: 1260324
{'charpoly_factorization': [[[418609, 184395, 40857, 5624, 534, 33, 1], 2]], 'hecke_orbit_code': 54043470439908057, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 13, 'label': '729.2.e.m', '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: 225333000
{'hecke_orbit_code': 54043470439908057, 'n': 1, 'trace_an': 12}
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id: 225333001
{'hecke_orbit_code': 54043470439908057, 'n': 2, 'trace_an': 0}
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id: 225333002
{'hecke_orbit_code': 54043470439908057, 'n': 3, 'trace_an': 0}
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id: 225333003
{'hecke_orbit_code': 54043470439908057, 'n': 4, 'trace_an': -12}
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id: 225333004
{'hecke_orbit_code': 54043470439908057, 'n': 5, 'trace_an': 0}
-
id: 225333005
{'hecke_orbit_code': 54043470439908057, 'n': 6, 'trace_an': 0}
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id: 225333006
{'hecke_orbit_code': 54043470439908057, 'n': 7, 'trace_an': 6}
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id: 225333007
{'hecke_orbit_code': 54043470439908057, 'n': 8, 'trace_an': 0}
-
id: 225333008
{'hecke_orbit_code': 54043470439908057, 'n': 9, 'trace_an': 0}
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id: 225333009
{'hecke_orbit_code': 54043470439908057, 'n': 10, 'trace_an': 12}
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id: 225333010
{'hecke_orbit_code': 54043470439908057, 'n': 11, 'trace_an': 0}
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id: 225333011
{'hecke_orbit_code': 54043470439908057, 'n': 12, 'trace_an': 0}
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id: 225333012
{'hecke_orbit_code': 54043470439908057, 'n': 13, 'trace_an': 24}
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id: 225333013
{'hecke_orbit_code': 54043470439908057, 'n': 14, 'trace_an': 0}
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id: 225333014
{'hecke_orbit_code': 54043470439908057, 'n': 15, 'trace_an': 0}
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id: 225333015
{'hecke_orbit_code': 54043470439908057, 'n': 16, 'trace_an': 0}
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id: 225333016
{'hecke_orbit_code': 54043470439908057, 'n': 17, 'trace_an': 0}
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id: 225333017
{'hecke_orbit_code': 54043470439908057, 'n': 18, 'trace_an': 0}
-
id: 225333018
{'hecke_orbit_code': 54043470439908057, 'n': 19, 'trace_an': 24}
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id: 225333019
{'hecke_orbit_code': 54043470439908057, 'n': 20, 'trace_an': 0}
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id: 225333020
{'hecke_orbit_code': 54043470439908057, 'n': 21, 'trace_an': 0}
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id: 225333021
{'hecke_orbit_code': 54043470439908057, 'n': 22, 'trace_an': 24}
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id: 225333022
{'hecke_orbit_code': 54043470439908057, 'n': 23, 'trace_an': 0}
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id: 225333023
{'hecke_orbit_code': 54043470439908057, 'n': 24, 'trace_an': 0}
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id: 225333024
{'hecke_orbit_code': 54043470439908057, 'n': 25, 'trace_an': 6}
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id: 225333025
{'hecke_orbit_code': 54043470439908057, 'n': 26, 'trace_an': 0}
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id: 225333026
{'hecke_orbit_code': 54043470439908057, 'n': 27, 'trace_an': 0}
-
id: 225333027
{'hecke_orbit_code': 54043470439908057, 'n': 28, 'trace_an': -12}
-
id: 225333028
{'hecke_orbit_code': 54043470439908057, 'n': 29, 'trace_an': 0}
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id: 225333029
{'hecke_orbit_code': 54043470439908057, 'n': 30, 'trace_an': 0}
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id: 225333030
{'hecke_orbit_code': 54043470439908057, 'n': 31, 'trace_an': -12}
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id: 225333997
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id: 225333998
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