-
mf_newforms • Show schema
{'Nk2': 4224, 'analytic_conductor': 8.432202453447209, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 5, 'char_parity': 1, 'char_values': [1056, 5, [991, 133, 353, 673], [5, 5, 5, 3]], 'cm_discs': [], 'conrey_index': 97, 'dim': 8, 'field_disc': 484000000, 'field_disc_factorization': [[2, 8], [5, 6], [11, 2]], 'field_poly': [121, 0, 66, 0, 16, 0, 1, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [25, 50, 40, -10, 66, -28, 9, -2, 1]], [7, [25, -100, 185, -150, 131, -42, 29, -8, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008848555738144, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 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': True, 'label': '1056.2.y.c', 'level': 1056, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'minimal_twist': '1056.2.y.c', 'nf_label': '8.0.484000000.9', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{3}q^{3}+(-\\beta _{2}-\\beta _{6})q^{5}+(2+\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1056.2.y', 'trace_display': [0, -2, 2, 8], 'trace_hash': 2085815257802124439, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.101', 'prec': 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mf_hecke_cc • Show schema
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'level': 1056, 'weight': 2} -
mf_newspaces • Show schema
{'Nk2': 4224, 'analytic_conductor': 8.432202453447209, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 5, 'char_parity': 1, 'char_values': [1056, 5, [991, 133, 353, 673], [5, 5, 5, 3]], 'conrey_index': 97, 'cusp_dim': 704, 'dim': 96, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 1649300997152, 'hecke_orbit_dims': [4, 4, 8, 8, 12, 12, 12, 12, 12, 12], 'label': '1056.2.y', 'level': 1056, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'mf_dim': 832, 'mf_new_dim': 96, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 384, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 112, 0, 0, 0, -24, 0, 0, 0, 144, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 144, 0, 0, 0, 72, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, -216, 0, 0, 0, -176, 0, 0, 0, 48, 0, 0, 0, -160, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -288, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, 208, 0, 0, 0, -160, 0, 0, 0, 168, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 192, 0, 0, 0, -32, 0, 0, 0, 208, 0, 0, 0, -240, 0, 0, 0, 24, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, 96, 0, 0, 0, 96, 0, 0, 0, -152, 0, 0, 0, 176, 0, 0, 0, -8, 0, 0, 0, 176, 0, 0, 0, -208, 0, 0, 0, -64, 0, 0, 0, -208, 0, 0, 0, 96, 0, 0, 0, -72, 0, 0, 0, 240, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 48, 0, 0, 0, -208, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, -16, 0, 0, 0, -152, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -64, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, 192, 0, 0, 0, 16, 0, 0, 0, 304, 0, 0, 0, 240, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 336, 0, 0, 0, 192, 0, 0, 0, -88, 0, 0, 0, 208, 0, 0, 0, 80, 0, 0, 0, 48, 0, 0, 0, -256, 0, 0, 0, 288, 0, 0, 0, -176, 0, 0, 0, -144, 0, 0, 0, -128, 0, 0, 0, 192, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -192, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, -336, 0, 0, 0, 96, 0, 0, 0, -304, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 8, 0, 0, 0, 192, 0, 0, 0, 48, 0, 0, 0, -832, 0, 0, 0, 240, 0, 0, 0, 160, 0, 0, 0, 152, 0, 0, 0, -496, 0, 0, 0, 48, 0, 0, 0, -96, 0, 0, 0, 320, 0, 0, 0, 144, 0, 0, 0, 400, 0, 0, 0, 352, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, 96, 0, 0, 0, 640, 0, 0, 0, 224, 0, 0, 0, 192, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, 256, 0, 0, 0, -80, 0, 0, 0, 112, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, -400, 0, 0, 0, -240, 0, 0, 0, 224, 0, 0, 0, -48, 0, 0, 0, -160, 0, 0, 0, -144, 0, 0, 0, -240, 0, 0, 0, 192, 0, 0, 0, -24, 0, 0, 0, -112, 0, 0, 0, 352, 0, 0, 0, -128, 0, 0, 0, 232, 0, 0, 0, -512, 0, 0, 0, 176, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, -176, 0, 0, 0, -16, 0, 0, 0, -160, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 192, 0, 0, 0, -288, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 528, 0, 0, 0, -112, 0, 0, 0, -32, 0, 0, 0, -304, 0, 0, 0, -96, 0, 0, 0, -112, 0, 0, 0, 352, 0, 0, 0, -416, 0, 0, 0, -32, 0, 0, 0, -336, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, 304, 0, 0, 0, -640, 0, 0, 0, -368, 0, 0, 0, -312, 0, 0, 0, -528, 0, 0, 0, -88, 0, 0, 0, -400, 0, 0, 0, -256, 0, 0, 0, -320, 0, 0, 0, -208, 0, 0, 0, -576, 0, 0, 0, -240, 0, 0, 0, -608, 0, 0, 0, -608, 0, 0, 0, -176, 0, 0, 0, 320, 0, 0, 0, -272, 0, 0, 0, -48, 0, 0, 0, 800, 0, 0, 0, -96, 0, 0, 0, -48, 0, 0, 0, 552, 0, 0, 0, -160, 0, 0, 0, 32, 0, 0, 0, -288, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, 656, 0, 0, 0, -384, 0, 0, 0, 272, 0, 0, 0, 320, 0, 0, 0, 48, 0, 0, 0, 376, 0, 0, 0, 192, 0, 0, 0, -240, 0, 0, 0, 592, 0, 0, 0], 'weight': 2, 'weight_parity': 1} -
mf_twists_cc • Show schema
-
id: 41736929
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008848555738144, 'source_is_minimal': True, 'source_label': '1056.2.y.c.97.1', 'source_level': 1056, 'target_conrey_index': 97, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008848555738144, 'target_is_minimal': True, 'target_label': '1056.2.y.c.97.1', 'target_level': 1056, 'twist_class_label': '1056.2.y.c.97.1', 'twist_class_level': 1056, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 41736930
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008848555738144, 'source_is_minimal': True, 'source_label': '1056.2.y.c.97.1', 'source_level': 1056, 'target_conrey_index': 97, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512448183108640, 'target_is_minimal': True, 'target_label': '1056.2.y.d.97.1', 'target_level': 1056, 'twist_class_label': '1056.2.y.c.97.1', 'twist_class_level': 1056, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2} -
id: 41736931
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008848555738144, 'source_is_minimal': True, 'source_label': '1056.2.y.c.97.1', 'source_level': 1056, 'target_conrey_index': 577, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008848555738144, 'target_is_minimal': True, 'target_label': '1056.2.y.c.577.1', 'target_level': 1056, 'twist_class_label': '1056.2.y.c.97.1', 'twist_class_level': 1056, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2} -
id: 41736932
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008848555738144, 'source_is_minimal': True, 'source_label': '1056.2.y.c.97.1', 'source_level': 1056, 'target_conrey_index': 577, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512448183108640, 'target_is_minimal': True, 'target_label': '1056.2.y.d.577.1', 'target_level': 1056, 'twist_class_label': '1056.2.y.c.97.1', 'twist_class_level': 1056, 'twisting_char_label': '44.27', 'twisting_conrey_index': 27, 'weight': 2}
-
id: 41736929
-
mf_hecke_charpolys • Show schema
-
id: 1641450
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008848555738144, 'p': 2} -
id: 1641451
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 9008848555738144, 'p': 3} -
id: 1641452
{'charpoly_factorization': [[[25, 50, 40, -10, 66, -28, 9, -2, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 5} -
id: 1641453
{'charpoly_factorization': [[[25, -100, 185, -150, 131, -42, 29, -8, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 7} -
id: 1641454
{'charpoly_factorization': [[[14641, 0, 3751, 0, 451, 0, 31, 0, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 11} -
id: 1641455
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 9008848555738144, 'p': 13} -
id: 1641456
{'charpoly_factorization': [[[1, -10, 329, 500, 326, 70, 44, 10, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 17} -
id: 1641457
{'charpoly_factorization': [[[25, 150, 365, 180, 136, 66, 26, 6, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 19} -
id: 1641458
{'charpoly_factorization': [[[-41, -52, -12, 4, 1], 2]], 'hecke_orbit_code': 9008848555738144, 'p': 23} -
id: 1641459
{'charpoly_factorization': [[[256, 2560, 10304, 7680, 6176, 1440, 224, 20, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 29} -
id: 1641460
{'charpoly_factorization': [[[942841, 271880, 129591, 8460, 756, 20, 66, -10, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 31} -
id: 1641461
{'charpoly_factorization': [[[1234321, -513282, 190927, -60060, 15581, -2700, 343, -26, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 37} -
id: 1641462
{'charpoly_factorization': [[[1500625, 257250, 62475, 3010, 1521, -86, 51, -6, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 41} -
id: 1641463
{'charpoly_factorization': [[[-1, 58, -72, -6, 1], 2]], 'hecke_orbit_code': 9008848555738144, 'p': 43} -
id: 1641464
{'charpoly_factorization': [[[1874161, 202612, 30118, -3996, 2180, 744, 193, 12, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 47} -
id: 1641465
{'charpoly_factorization': [[[483025, -757550, 510285, -121300, 25326, -2414, 196, -14, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 53} -
id: 1641466
{'charpoly_factorization': [[[600625, 418500, 111725, -9240, 4396, -708, 134, -12, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 59} -
id: 1641467
{'charpoly_factorization': [[[1500625, -686000, 730100, -25410, 2006, -276, 101, 14, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 61} -
id: 1641468
{'charpoly_factorization': [[[-409, -324, -49, 6, 1], 2]], 'hecke_orbit_code': 9008848555738144, 'p': 67} -
id: 1641469
{'charpoly_factorization': [[[60025, 0, 48510, -31640, 10536, -2144, 291, -24, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 71} -
id: 1641470
{'charpoly_factorization': [[[160000, 224000, 409600, 189440, 45216, 6208, 564, 32, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 73} -
id: 1641471
{'charpoly_factorization': [[[101761, -21054, 20603, -11110, 3771, 830, 87, 2, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 79} -
id: 1641472
{'charpoly_factorization': [[[3798601, -444372, 74043, 4696, 2055, -704, 183, -12, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 83} -
id: 1641473
{'charpoly_factorization': [[[-13955, -3150, -94, 18, 1], 2]], 'hecke_orbit_code': 9008848555738144, 'p': 89} -
id: 1641474
{'charpoly_factorization': [[[410881, 397420, 228604, 65010, 12686, -1740, 409, -30, 1], 1]], 'hecke_orbit_code': 9008848555738144, 'p': 97}
-
id: 1641450
-
mf_newform_portraits • Show schema
{'char_orbit_index': 25, 'hecke_orbit': 3, 'label': '1056.2.y.c', 'level': 1056, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 32026807
{'hecke_orbit_code': 9008848555738144, 'n': 1, 'trace_an': 8} -
id: 32026808
{'hecke_orbit_code': 9008848555738144, 'n': 2, 'trace_an': 0} -
id: 32026809
{'hecke_orbit_code': 9008848555738144, 'n': 3, 'trace_an': -2} -
id: 32026810
{'hecke_orbit_code': 9008848555738144, 'n': 4, 'trace_an': 0} -
id: 32026811
{'hecke_orbit_code': 9008848555738144, 'n': 5, 'trace_an': 2} -
id: 32026812
{'hecke_orbit_code': 9008848555738144, 'n': 6, 'trace_an': 0} -
id: 32026813
{'hecke_orbit_code': 9008848555738144, 'n': 7, 'trace_an': 8} -
id: 32026814
{'hecke_orbit_code': 9008848555738144, 'n': 8, 'trace_an': 0} -
id: 32026815
{'hecke_orbit_code': 9008848555738144, 'n': 9, 'trace_an': -2} -
id: 32026816
{'hecke_orbit_code': 9008848555738144, 'n': 10, 'trace_an': 0} -
id: 32026817
{'hecke_orbit_code': 9008848555738144, 'n': 11, 'trace_an': 0} -
id: 32026818
{'hecke_orbit_code': 9008848555738144, 'n': 12, 'trace_an': 0} -
id: 32026819
{'hecke_orbit_code': 9008848555738144, 'n': 13, 'trace_an': 2} -
id: 32026820
{'hecke_orbit_code': 9008848555738144, 'n': 14, 'trace_an': 0} -
id: 32026821
{'hecke_orbit_code': 9008848555738144, 'n': 15, 'trace_an': 2} -
id: 32026822
{'hecke_orbit_code': 9008848555738144, 'n': 16, 'trace_an': 0} -
id: 32026823
{'hecke_orbit_code': 9008848555738144, 'n': 17, 'trace_an': -10} -
id: 32026824
{'hecke_orbit_code': 9008848555738144, 'n': 18, 'trace_an': 0} -
id: 32026825
{'hecke_orbit_code': 9008848555738144, 'n': 19, 'trace_an': -6} -
id: 32026826
{'hecke_orbit_code': 9008848555738144, 'n': 20, 'trace_an': 0} -
id: 32026827
{'hecke_orbit_code': 9008848555738144, 'n': 21, 'trace_an': -12} -
id: 32026828
{'hecke_orbit_code': 9008848555738144, 'n': 22, 'trace_an': 0} -
id: 32026829
{'hecke_orbit_code': 9008848555738144, 'n': 23, 'trace_an': -8} -
id: 32026830
{'hecke_orbit_code': 9008848555738144, 'n': 24, 'trace_an': 0} -
id: 32026831
{'hecke_orbit_code': 9008848555738144, 'n': 25, 'trace_an': -4} -
id: 32026832
{'hecke_orbit_code': 9008848555738144, 'n': 26, 'trace_an': 0} -
id: 32026833
{'hecke_orbit_code': 9008848555738144, 'n': 27, 'trace_an': -2} -
id: 32026834
{'hecke_orbit_code': 9008848555738144, 'n': 28, 'trace_an': 0} -
id: 32026835
{'hecke_orbit_code': 9008848555738144, 'n': 29, 'trace_an': -20} -
id: 32026836
{'hecke_orbit_code': 9008848555738144, 'n': 30, 'trace_an': 0} -
id: 32026837
{'hecke_orbit_code': 9008848555738144, 'n': 31, 'trace_an': 10} -
id: 32026838
{'hecke_orbit_code': 9008848555738144, 'n': 32, 'trace_an': 0} -
id: 32026839
{'hecke_orbit_code': 9008848555738144, 'n': 33, 'trace_an': 0} -
id: 32026840
{'hecke_orbit_code': 9008848555738144, 'n': 34, 'trace_an': 0} -
id: 32026841
{'hecke_orbit_code': 9008848555738144, 'n': 35, 'trace_an': 0} -
id: 32026842
{'hecke_orbit_code': 9008848555738144, 'n': 36, 'trace_an': 0} -
id: 32026843
{'hecke_orbit_code': 9008848555738144, 'n': 37, 'trace_an': 26} -
id: 32026844
{'hecke_orbit_code': 9008848555738144, 'n': 38, 'trace_an': 0} -
id: 32026845
{'hecke_orbit_code': 9008848555738144, 'n': 39, 'trace_an': 2} -
id: 32026846
{'hecke_orbit_code': 9008848555738144, 'n': 40, 'trace_an': 0} -
id: 32026847
{'hecke_orbit_code': 9008848555738144, 'n': 41, 'trace_an': 6} -
id: 32026848
{'hecke_orbit_code': 9008848555738144, 'n': 42, 'trace_an': 0} -
id: 32026849
{'hecke_orbit_code': 9008848555738144, 'n': 43, 'trace_an': 12} -
id: 32026850
{'hecke_orbit_code': 9008848555738144, 'n': 44, 'trace_an': 0} -
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-
id: 32026807
Embedded newform data - 1056.2.y.c.97.1