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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': [-3], 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [5, [0, 1]], [7, [4096, 0, 0, -64, 0, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014673420944089, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 12, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [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': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '729.2.e.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, 'minimal_twist': '243.2.a.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q+2\\zeta_{18}^{5}q^{4}-4\\zeta_{18}^{4}q^{7}-7\\zeta_{18}^{2}q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d9', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '729.2.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1103108942809791894, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.049', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.969', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.088', 'prec': 17}, {'__RealLiteral__': 0, 'data': '503.595', 'prec': 24}, {'__RealLiteral__': 0, 'data': '143.741', 'prec': 24}, {'__RealLiteral__': 0, 'data': '56834.800', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.838', 'prec': 17}, 'traces': [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 30, 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, 24, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 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, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, -264, 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, 12, 0, 0, 0, 0, 0, 0, 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], [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, 0, 0, -4, 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, -7, 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, 1, 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, -5, 0, 0, 5, 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, 0, 0, 0, -11], [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], [10, 0, 0, -10, 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, -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, 0], [0, 0, -9, 0, 0, 9], 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0, 0, 0, 0], [0, 0, 0, -10, 0, 0]], 'ap': [[0, 0, 0, 0, 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, -7, 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, -11], [10, 0, 0, -10, 0, 0], [0, 0, 0, 0, 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, -1, 0], [0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0], [0, -13, 0, 0, 13, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 13, 0, 0, -13], [0, 0, 0, 0, 0, 0], [-19, 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, 16], [0, 0, 0, 0, 0, 0], [0, 19, 0, 0, 0, 0], [0, 0, 25, 0, 0, -25], [8, 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, -26, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -23], [0, 0, 0, 0, 0, 0], [-17, 0, 0, 17, 0, 0], [0, 0, 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[0, 0, 47, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -53, 0, 0], [0, 0, 0, 0, 0, 0], [0, -35, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -56, 0, 0, 56], [0, 0, 0, 0, 0, 0], [0, 0, -34, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 55, 0, 0], [0, 0, 0, 0, 0, 0], [0, -59, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-52, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -26, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -41, 0, 0, 41], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 61, 0, 0], [0, -10, 0, 0, 10, 0]], 'char_orbit_index': 5, 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'hecke_orbit_code': 18014673420944089, 'hecke_ring_character_values': [[2, [0, 0, 0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 6, 'label': '729.2.e.e', '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: 473461
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '243.2.a.a', 'target_level': 243, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473462
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '243.2.a.a', 'target_level': 243, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473463
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '243.2.c.b', 'target_level': 243, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473464
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '243.2.c.b', 'target_level': 243, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473465
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '729.2.e.e', 'target_level': 729, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 473466
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '729.2.e.e', 'target_level': 729, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 473467
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '729.2.e.e', 'target_level': 729, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 473468
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '729.2.e.e', 'target_level': 729, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 473469
{'conductor': 27, 'degree': 6, 'multiplicity': 3, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '729.2.e.e', 'target_level': 729, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 473470
{'conductor': 27, 'degree': 6, 'multiplicity': 3, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '729.2.e.e', 'target_level': 729, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 473471
{'conductor': 108, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3888.2.a.n', 'target_level': 3888, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '108.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 473472
{'conductor': 108, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3888.2.a.n', 'target_level': 3888, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '108.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 473473
{'conductor': 135, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '6075.2.a.w', 'target_level': 6075, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '135.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 473474
{'conductor': 135, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '729.2.e.e', 'source_level': 729, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '6075.2.a.w', 'target_level': 6075, 'twist_class_label': '243.2.a.a', 'twist_class_level': 243, 'twisting_char_label': '135.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1260075
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 2}
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id: 1260076
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 3}
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id: 1260077
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 5}
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id: 1260078
{'charpoly_factorization': [[[4096, 0, 0, -64, 0, 0, 1], 1]], 'hecke_orbit_code': 18014673420944089, 'p': 7}
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id: 1260079
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 11}
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id: 1260080
{'charpoly_factorization': [[[117649, 0, 0, -343, 0, 0, 1], 1]], 'hecke_orbit_code': 18014673420944089, 'p': 13}
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id: 1260081
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 17}
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id: 1260082
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 18014673420944089, 'p': 19}
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id: 1260083
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 23}
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id: 1260084
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 29}
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id: 1260085
{'charpoly_factorization': [[[1771561, 0, 0, 1331, 0, 0, 1], 1]], 'hecke_orbit_code': 18014673420944089, 'p': 31}
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id: 1260086
{'charpoly_factorization': [[[100, -10, 1], 3]], 'hecke_orbit_code': 18014673420944089, 'p': 37}
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id: 1260087
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 41}
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id: 1260088
{'charpoly_factorization': [[[15625, 0, 0, 125, 0, 0, 1], 1]], 'hecke_orbit_code': 18014673420944089, 'p': 43}
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id: 1260089
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 47}
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id: 1260090
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 53}
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id: 1260091
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 59}
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id: 1260092
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 1]], 'hecke_orbit_code': 18014673420944089, 'p': 61}
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id: 1260093
{'charpoly_factorization': [[[15625, 0, 0, 125, 0, 0, 1], 1]], 'hecke_orbit_code': 18014673420944089, 'p': 67}
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id: 1260094
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 71}
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id: 1260095
{'charpoly_factorization': [[[49, -7, 1], 3]], 'hecke_orbit_code': 18014673420944089, 'p': 73}
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id: 1260096
{'charpoly_factorization': [[[4826809, 0, 0, -2197, 0, 0, 1], 1]], 'hecke_orbit_code': 18014673420944089, 'p': 79}
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id: 1260097
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 83}
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id: 1260098
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 18014673420944089, 'p': 89}
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id: 1260099
{'charpoly_factorization': [[[15625, 0, 0, 125, 0, 0, 1], 1]], 'hecke_orbit_code': 18014673420944089, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 5, 'label': '729.2.e.e', 'level': 729, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 158339000
{'hecke_orbit_code': 18014673420944089, 'n': 1, 'trace_an': 6}
-
id: 158339001
{'hecke_orbit_code': 18014673420944089, 'n': 2, 'trace_an': 0}
-
id: 158339002
{'hecke_orbit_code': 18014673420944089, 'n': 3, 'trace_an': 0}
-
id: 158339003
{'hecke_orbit_code': 18014673420944089, 'n': 4, 'trace_an': 0}
-
id: 158339004
{'hecke_orbit_code': 18014673420944089, 'n': 5, 'trace_an': 0}
-
id: 158339005
{'hecke_orbit_code': 18014673420944089, 'n': 6, 'trace_an': 0}
-
id: 158339006
{'hecke_orbit_code': 18014673420944089, 'n': 7, 'trace_an': 0}
-
id: 158339007
{'hecke_orbit_code': 18014673420944089, 'n': 8, 'trace_an': 0}
-
id: 158339008
{'hecke_orbit_code': 18014673420944089, 'n': 9, 'trace_an': 0}
-
id: 158339009
{'hecke_orbit_code': 18014673420944089, 'n': 10, 'trace_an': 0}
-
id: 158339010
{'hecke_orbit_code': 18014673420944089, 'n': 11, 'trace_an': 0}
-
id: 158339011
{'hecke_orbit_code': 18014673420944089, 'n': 12, 'trace_an': 0}
-
id: 158339012
{'hecke_orbit_code': 18014673420944089, 'n': 13, 'trace_an': 0}
-
id: 158339013
{'hecke_orbit_code': 18014673420944089, 'n': 14, 'trace_an': 0}
-
id: 158339014
{'hecke_orbit_code': 18014673420944089, 'n': 15, 'trace_an': 0}
-
id: 158339015
{'hecke_orbit_code': 18014673420944089, 'n': 16, 'trace_an': 0}
-
id: 158339016
{'hecke_orbit_code': 18014673420944089, 'n': 17, 'trace_an': 0}
-
id: 158339017
{'hecke_orbit_code': 18014673420944089, 'n': 18, 'trace_an': 0}
-
id: 158339018
{'hecke_orbit_code': 18014673420944089, 'n': 19, 'trace_an': 3}
-
id: 158339019
{'hecke_orbit_code': 18014673420944089, 'n': 20, 'trace_an': 0}
-
id: 158339020
{'hecke_orbit_code': 18014673420944089, 'n': 21, 'trace_an': 0}
-
id: 158339021
{'hecke_orbit_code': 18014673420944089, 'n': 22, 'trace_an': 0}
-
id: 158339022
{'hecke_orbit_code': 18014673420944089, 'n': 23, 'trace_an': 0}
-
id: 158339023
{'hecke_orbit_code': 18014673420944089, 'n': 24, 'trace_an': 0}
-
id: 158339024
{'hecke_orbit_code': 18014673420944089, 'n': 25, 'trace_an': 0}
-
id: 158339025
{'hecke_orbit_code': 18014673420944089, 'n': 26, 'trace_an': 0}
-
id: 158339026
{'hecke_orbit_code': 18014673420944089, 'n': 27, 'trace_an': 0}
-
id: 158339027
{'hecke_orbit_code': 18014673420944089, 'n': 28, 'trace_an': 48}
-
id: 158339028
{'hecke_orbit_code': 18014673420944089, 'n': 29, 'trace_an': 0}
-
id: 158339029
{'hecke_orbit_code': 18014673420944089, 'n': 30, 'trace_an': 0}
-
id: 158339030
{'hecke_orbit_code': 18014673420944089, 'n': 31, 'trace_an': 0}
-
id: 158339031
{'hecke_orbit_code': 18014673420944089, 'n': 32, 'trace_an': 0}
-
id: 158339032
{'hecke_orbit_code': 18014673420944089, 'n': 33, 'trace_an': 0}
-
id: 158339033
{'hecke_orbit_code': 18014673420944089, 'n': 34, 'trace_an': 0}
-
id: 158339034
{'hecke_orbit_code': 18014673420944089, 'n': 35, 'trace_an': 0}
-
id: 158339035
{'hecke_orbit_code': 18014673420944089, 'n': 36, 'trace_an': 0}
-
id: 158339036
{'hecke_orbit_code': 18014673420944089, 'n': 37, 'trace_an': 30}
-
id: 158339037
{'hecke_orbit_code': 18014673420944089, 'n': 38, 'trace_an': 0}
-
id: 158339038
{'hecke_orbit_code': 18014673420944089, 'n': 39, 'trace_an': 0}
-
id: 158339039
{'hecke_orbit_code': 18014673420944089, 'n': 40, 'trace_an': 0}
-
id: 158339040
{'hecke_orbit_code': 18014673420944089, 'n': 41, 'trace_an': 0}
-
id: 158339041
{'hecke_orbit_code': 18014673420944089, 'n': 42, 'trace_an': 0}
-
id: 158339042
{'hecke_orbit_code': 18014673420944089, 'n': 43, 'trace_an': 0}
-
id: 158339043
{'hecke_orbit_code': 18014673420944089, 'n': 44, 'trace_an': 0}
-
id: 158339044
{'hecke_orbit_code': 18014673420944089, 'n': 45, 'trace_an': 0}
-
id: 158339045
{'hecke_orbit_code': 18014673420944089, 'n': 46, 'trace_an': 0}
-
id: 158339046
{'hecke_orbit_code': 18014673420944089, 'n': 47, 'trace_an': 0}
-
id: 158339047
{'hecke_orbit_code': 18014673420944089, 'n': 48, 'trace_an': 0}
-
id: 158339048
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