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{'Nk2': 5292, 'analytic_conductor': 10.564208187415394, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1323, 1, [785, 1081], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 321, 'field_disc_factorization': [[3, 1], [107, 1]], 'field_poly': [1, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-3, -3, 2, 1]], [5, [3, -6, 1, 1]], [13, [47, -19, -2, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463077163, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1323.2.a.x', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '189.2.e.e', 'nf_label': '3.3.321.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1323.2.a', 'trace_display': [-2, 0, -1, 0], 'trace_hash': 827213926388944141, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.818', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20.244', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '224.280', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [3, -2, 0, 4, -1, 0, 0, -9, 0, -1, -7, 0, 2, 0, 0, 10, 0, 0, 5, 13, 0, -4, -6, 0, -2, -17, 0, 0, -13, 0, -8, -25, 0, 12, 0, 0, -8, 7, 0, -24, -2, 0, -9, 1, 0, -3, -9, 0, 0, -4, 0, 9, -24, 0, 4, 0, 0, 14, 15, 0, -1, 21, 0, 33, -10, 0, 14, -39, 0, 0, 3, 0, 7, 0, 0, -18, 0, 0, 6, 16, 0, 43, -3, 0, -27, 32, 0, 9, 5, 0, 0, -12, 0, -27, -16, 0, -14, 0, 0, -21, 13, 0, -9, -3, 0, -3, -25, 0, -20, -8, 0, 0, -19, 0, -9, 1, 0, -3, 0, 0, -8, -20, 0, -17, -18, 0, 19, -3, 0, -7, -4, 0, 0, 1, 0, 66, -12, 0, 22, 0, 0, -33, 11, 0, 28, 42, 0, -29, -33, 0, -18, 24, 0, 0, 12, 0, -7, 17, 0, -11, 0, 0, -13, -40, 0, -45, -28, 0, 3, 39, 0, -43, 25, 0, 0, 13, 0, -10, 13, 0, 14, 0, 0, 33, -21, 0, -12, 15, 0, 23, 5, 0, 24, 30, 0, 0, -25, 0, 7, 48, 0, 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'label': '1323.2.a.x.1.2', 'level': 1323, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 15, 12], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12], 'ALdims_old': [21, 22, 25, 22], 'Nk2': 5292, 'analytic_conductor': 10.564208187415394, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1323, 1, [785, 1081], [1, 1]], 'conrey_index': 1, 'cusp_dim': 145, 'dim': 55, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33555755, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '1323.2.a', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 192, 'mf_new_dim': 55, 'num_forms': 31, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 336, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [55, 0, 0, 54, 0, 0, 0, 0, 0, 4, 0, 0, 7, 0, 0, 32, 0, 0, -5, 0, 0, -8, 0, 0, 73, 0, 0, 0, 0, 0, -16, 0, 0, 36, 0, 0, 19, 0, 0, 48, 0, 0, -46, 0, 0, 4, 0, 0, 0, 0, 0, 18, 0, 0, -52, 0, 0, -8, 0, 0, 13, 0, 0, 56, 0, 0, -47, 0, 0, 0, 0, 0, -1, 0, 0, -54, 0, 0, -67, 0, 0, -28, 0, 0, 28, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, 47, 0, 0, 110, 0, 0, -3, 0, 0, -12, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, 0, -36, 0, 0, 55, 0, 0, -88, 0, 0, -10, 0, 0, 4, 0, 0, 0, 0, 0, -24, 0, 0, 5, 0, 0, -100, 0, 0, 92, 0, 0, -14, 0, 0, 11, 0, 0, 0, 0, 0, 22, 0, 0, 104, 0, 0, -35, 0, 0, -84, 0, 0, 114, 0, 0, -164, 0, 0, 0, 0, 0, 136, 0, 0, -41, 0, 0, 28, 0, 0, -36, 0, 0, 20, 0, 0, 71, 0, 0, 0, 0, 0, 29, 0, 0, -64, 0, 0, -20, 0, 0, 60, 0, 0, -107, 0, 0, -116, 0, 0, 0, 0, 0, -8, 0, 0, 40, 0, 0, -120, 0, 0, 6, 0, 0, -100, 0, 0, -52, 0, 0, 0, 0, 0, -21, 0, 0, 6, 0, 0, -43, 0, 0, 36, 0, 0, -76, 0, 0, -148, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -62, 0, 0, -29, 0, 0, -72, 0, 0, -88, 0, 0, 0, 0, 0, -116, 0, 0, 16, 0, 0, 89, 0, 0, -22, 0, 0, -136, 0, 0, 84, 0, 0, 0, 0, 0, -156, 0, 0, -56, 0, 0, -68, 0, 0, -51, 0, 0, -94, 0, 0, -60, 0, 0, 0, 0, 0, 57, 0, 0, -24, 0, 0, 85, 0, 0, 76, 0, 0, 131, 0, 0, 80, 0, 0, 0, 0, 0, 152, 0, 0, 37, 0, 0, 112, 0, 0, 0, 0, 0, -76, 0, 0, 38, 0, 0, 0, 0, 0, 53, 0, 0, 12, 0, 0, 69, 0, 0, 24, 0, 0, -179, 0, 0, 88, 0, 0, 0, 0, 0, 2, 0, 0, 96, 0, 0, -108, 0, 0, 26, 0, 0, -28, 0, 0, 92, 0, 0, 0, 0, 0, -81, 0, 0, 142, 0, 0, 20, 0, 0, 256, 0, 0, 115, 0, 0, -84, 0, 0, 0, 0, 0, 92, 0, 0, 34, 0, 0, -84, 0, 0, 68, 0, 0, 420, 0, 0, 220, 0, 0, 0, 0, 0, 76, 0, 0, -24, 0, 0, 272, 0, 0, -312, 0, 0, 161, 0, 0, 184, 0, 0, 0, 0, 0, -24, 0, 0, -123, 0, 0, -308, 0, 0, -107, 0, 0, -34, 0, 0, 273, 0, 0, 0, 0, 0, -84, 0, 0, 80, 0, 0, -114, 0, 0, -116, 0, 0, 388, 0, 0, -184, 0, 0, 0, 0, 0, -64, 0, 0, -12, 0, 0, -188, 0, 0, 79, 0, 0, -100, 0, 0, 63, 0, 0, 0, 0, 0, 8, 0, 0, -276, 0, 0, 435, 0, 0, -120, 0, 0, 61, 0, 0, -324, 0, 0, 0, 0, 0, 38, 0, 0, 44, 0, 0, 292, 0, 0, 68, 0, 0, -200, 0, 0, 71, 0, 0, 0, 0, 0, 133, 0, 0, 88, 0, 0, 44, 0, 0, -52, 0, 0, -190, 0, 0, -196, 0, 0, 0, 0, 0, -48, 0, 0, 26, 0, 0, -406, 0, 0, 213, 0, 0, -12, 0, 0, -199, 0, 0, 0, 0, 0, -5, 0, 0, -108, 0, 0, 63, 0, 0, 276, 0, 0, -137, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -252, 0, 0, -310, 0, 0, -204, 0, 0, 0, 0, 0, 61, 0, 0, -288, 0, 0, -100, 0, 0, -80, 0, 0, 101, 0, 0, 240, 0, 0, 0, 0, 0, -24, 0, 0, -60, 0, 0, -400, 0, 0, -228, 0, 0, 80, 0, 0, 412, 0, 0, 0, 0, 0, 169, 0, 0, 28, 0, 0, -93, 0, 0, 264, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 144, 0, 0, 320, 0, 0, -250, 0, 0, 12, 0, 0, -302, 0, 0, 0, 0, 0, -12, 0, 0, 96, 0, 0, -41, 0, 0, 160, 0, 0, -389, 0, 0, 172, 0, 0, 0, 0, 0, -132, 0, 0, 57, 0, 0, 798, 0, 0, 68, 0, 0, 436, 0, 0, -192, 0, 0, 0, 0, 0, 7, 0, 0, -100, 0, 0, 3, 0, 0, 230, 0, 0, -156, 0, 0, 1044, 0, 0, 0, 0, 0, -120, 0, 0, 156, 0, 0, 652, 0, 0, 164, 0, 0, -160, 0, 0, -281, 0, 0, 0, 0, 0, 27, 0, 0, -8, 0, 0, -160, 0, 0, -156, 0, 0, 369, 0, 0, 262, 0, 0, 0, 0, 0, -96, 0, 0, -171, 0, 0, -328, 0, 0, -3, 0, 0, 656, 0, 0, 80, 0, 0, 0, 0, 0, -153, 0, 0, 456, 0, 0, -279, 0, 0, -296, 0, 0, -95, 0, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, -116, 0, 0, -120, 0, 0, 192, 0, 0, 452, 0, 0, 169, 0, 0, 0, 0, 0, -60, 0, 0, -236, 0, 0, -254, 0, 0, -220, 0, 0, 265, 0, 0, 496, 0, 0, 0, 0, 0, 264, 0, 0, 89, 0, 0, -276, 0, 0, 0, 0, 0, -52, 0, 0, -99, 0, 0, 0, 0, 0, -88, 0, 0, 140, 0, 0, 57, 0, 0, 130, 0, 0, 1, 0, 0, 64, 0, 0, 0, 0, 0, 372, 0, 0, -184, 0, 0, 504, 0, 0, -4, 0, 0, -302, 0, 0, -333, 0, 0, 0, 0, 0, -26, 0, 0, -168], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48478222
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463077163, 'target_is_minimal': False, 'target_label': '1323.2.a.x.1.2', 'target_level': 1323, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48478223
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590345188651, 'target_is_minimal': False, 'target_label': '1323.2.a.ba.1.2', 'target_level': 1323, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48478224
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314045, 'target_is_minimal': True, 'target_label': '189.2.e.f.109.2', 'target_level': 189, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48478225
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314045, 'target_is_minimal': True, 'target_label': '189.2.e.f.163.2', 'target_level': 189, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48478226
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090447659, 'target_is_minimal': False, 'target_label': '1323.2.a.y.1.2', 'target_level': 1323, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48478227
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943549, 'target_is_minimal': True, 'target_label': '189.2.e.e.109.2', 'target_level': 189, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48478228
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943549, 'target_is_minimal': True, 'target_label': '189.2.e.e.163.2', 'target_level': 189, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48478229
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717818155, 'target_is_minimal': False, 'target_label': '1323.2.a.z.1.2', 'target_level': 1323, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48478230
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525609742008887, 'target_is_minimal': False, 'target_label': '567.2.g.h.109.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48478231
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 541, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029209369379383, 'target_is_minimal': False, 'target_label': '567.2.g.i.541.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48478232
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 352, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029278088856119, 'target_is_minimal': False, 'target_label': '567.2.h.i.352.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48478233
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029209369379383, 'target_is_minimal': False, 'target_label': '567.2.g.i.109.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48478234
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 298, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029278088856119, 'target_is_minimal': False, 'target_label': '567.2.h.i.298.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48478235
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 352, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525678461485623, 'target_is_minimal': False, 'target_label': '567.2.h.h.352.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 48478236
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 541, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525609742008887, 'target_is_minimal': False, 'target_label': '567.2.g.h.541.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 48478237
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791463077163, 'source_is_minimal': False, 'source_label': '1323.2.a.x.1.2', 'source_level': 1323, 'target_conrey_index': 298, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525678461485623, 'target_is_minimal': False, 'target_label': '567.2.h.h.298.2', 'target_level': 567, 'twist_class_label': '189.2.e.e.109.2', 'twist_class_level': 189, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1862325
{'charpoly_factorization': [[[-3, -3, 2, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 2}
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id: 1862326
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 103582791463077163, 'p': 3}
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id: 1862327
{'charpoly_factorization': [[[3, -6, 1, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 5}
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id: 1862328
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 103582791463077163, 'p': 7}
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id: 1862329
{'charpoly_factorization': [[[3, 12, 7, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 11}
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id: 1862330
{'charpoly_factorization': [[[47, -19, -2, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 13}
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id: 1862331
{'charpoly_factorization': [[[9, -33, 0, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 17}
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id: 1862332
{'charpoly_factorization': [[[29, -4, -5, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 19}
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id: 1862333
{'charpoly_factorization': [[[-9, 3, 6, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 23}
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id: 1862334
{'charpoly_factorization': [[[9, 30, 13, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 29}
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id: 1862335
{'charpoly_factorization': [[[-69, 1, 8, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 31}
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id: 1862336
{'charpoly_factorization': [[[-93, -5, 8, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 37}
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id: 1862337
{'charpoly_factorization': [[[-387, -105, 2, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 41}
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id: 1862338
{'charpoly_factorization': [[[-101, -12, 9, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 43}
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id: 1862339
{'charpoly_factorization': [[[9, -42, 9, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 47}
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id: 1862340
{'charpoly_factorization': [[[243, 165, 24, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 53}
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id: 1862341
{'charpoly_factorization': [[[-81, 66, -15, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 59}
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id: 1862342
{'charpoly_factorization': [[[-121, -49, 1, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 61}
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id: 1862343
{'charpoly_factorization': [[[-31, 53, -14, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 67}
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id: 1862344
{'charpoly_factorization': [[[-243, -108, -3, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 71}
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id: 1862345
{'charpoly_factorization': [[[981, -134, -7, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 73}
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id: 1862346
{'charpoly_factorization': [[[127, -69, -6, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 79}
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id: 1862347
{'charpoly_factorization': [[[729, -180, 3, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 83}
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id: 1862348
{'charpoly_factorization': [[[489, -93, -5, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 89}
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id: 1862349
{'charpoly_factorization': [[[-24, 16, 14, 1], 1]], 'hecke_orbit_code': 103582791463077163, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '1323.2.a.x', 'level': 1323, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65820937
{'hecke_orbit_code': 103582791463077163, 'n': 1, 'trace_an': 3}
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id: 65820938
{'hecke_orbit_code': 103582791463077163, 'n': 2, 'trace_an': -2}
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