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mf_newforms • Show schema
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mf_hecke_cc • Show schema
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3, 'embedding_root_imag': 0.6098434355491019, 'embedding_root_real': -1.2759666861316044, 'hecke_orbit': 3, 'hecke_orbit_code': 9007611621933920, 'label': '864.3.g.c.703.3', 'level': 864, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 7776, 'analytic_conductor': 23.542294840729653, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [864, 2, [703, 325, 353], [1, 2, 2]], 'conrey_index': 703, 'cusp_dim': 264, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 412367192928, 'hecke_orbit_dims': [8, 8, 8, 8], 'label': '864.3.g', 'level': 864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 312, 'mf_new_dim': 32, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 32, 'sturm_bound': 432, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1616, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1616, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3696, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14096, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3696, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11392, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 40988843
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007611621933920, 'source_is_minimal': True, 'source_label': '864.3.g.c.703.3', 'source_level': 864, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611621933920, 'target_is_minimal': True, 'target_label': '864.3.g.c.703.3', 'target_level': 864, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 40988844
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007611621933920, 'source_is_minimal': True, 'source_label': '864.3.g.c.703.3', 'source_level': 864, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 412367192928, 'target_is_minimal': True, 'target_label': '864.3.g.a.703.5', 'target_level': 864, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 40988845
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007611621933920, 'source_is_minimal': True, 'source_label': '864.3.g.c.703.3', 'source_level': 864, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007611621933920, 'target_is_minimal': True, 'target_label': '864.3.g.c.703.4', 'target_level': 864, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 40988846
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007611621933920, 'source_is_minimal': True, 'source_label': '864.3.g.c.703.3', 'source_level': 864, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45036408640898752, 'target_is_minimal': False, 'target_label': '1728.3.g.k.703.6', 'target_level': 1728, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 40988847
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007611621933920, 'source_is_minimal': True, 'source_label': '864.3.g.c.703.3', 'source_level': 864, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 45036408640898752, 'target_is_minimal': False, 'target_label': '1728.3.g.k.703.5', 'target_level': 1728, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 40988848
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007611621933920, 'source_is_minimal': True, 'source_label': '864.3.g.c.703.3', 'source_level': 864, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412367192928, 'target_is_minimal': True, 'target_label': '864.3.g.a.703.6', 'target_level': 864, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 40988849
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007611621933920, 'source_is_minimal': True, 'source_label': '864.3.g.c.703.3', 'source_level': 864, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547207523010240, 'target_is_minimal': False, 'target_label': '1728.3.g.n.703.3', 'target_level': 1728, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 40988850
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 703, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007611621933920, 'source_is_minimal': True, 'source_label': '864.3.g.c.703.3', 'source_level': 864, 'target_conrey_index': 703, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547207523010240, 'target_is_minimal': False, 'target_label': '1728.3.g.n.703.4', 'target_level': 1728, 'twist_class_label': '864.3.g.a.703.5', 'twist_class_level': 864, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1424025
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007611621933920, 'p': 2}
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id: 1424026
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007611621933920, 'p': 3}
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id: 1424027
{'charpoly_factorization': [[[229, -28, -54, -4, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 5}
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id: 1424028
{'charpoly_factorization': [[[52441, 0, 51220, 0, 7758, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 7}
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id: 1424029
{'charpoly_factorization': [[[269517889, 0, 10915804, 0, 128646, 0, 604, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 11}
-
id: 1424030
{'charpoly_factorization': [[[15616, -640, -288, 8, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 13}
-
id: 1424031
{'charpoly_factorization': [[[9216, 2304, -96, -24, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 17}
-
id: 1424032
{'charpoly_factorization': [[[20736, 0, 21406464, 0, 360288, 0, 1200, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 19}
-
id: 1424033
{'charpoly_factorization': [[[8962787584, 0, 226345216, 0, 1321440, 0, 2128, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 23}
-
id: 1424034
{'charpoly_factorization': [[[-2288, 3520, -648, 16, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 29}
-
id: 1424035
{'charpoly_factorization': [[[116920969, 0, 336709252, 0, 2448990, 0, 3220, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 31}
-
id: 1424036
{'charpoly_factorization': [[[-354096, -141696, -3480, 48, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 37}
-
id: 1424037
{'charpoly_factorization': [[[-3217904, -210176, -2376, 64, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 41}
-
id: 1424038
{'charpoly_factorization': [[[947180525824, 0, 5499073792, 0, 10796256, 0, 7696, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 43}
-
id: 1424039
{'charpoly_factorization': [[[1218851328256, 0, 8075107072, 0, 14046048, 0, 7216, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 47}
-
id: 1424040
{'charpoly_factorization': [[[-1618803, 160884, -1950, -84, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 53}
-
id: 1424041
{'charpoly_factorization': [[[157628225880064, 0, 205601259520, 0, 90570240, 0, 16192, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 59}
-
id: 1424042
{'charpoly_factorization': [[[3739648, 214016, -11136, -16, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 61}
-
id: 1424043
{'charpoly_factorization': [[[54344260884736, 0, 176752739584, 0, 155238624, 0, 23824, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 67}
-
id: 1424044
{'charpoly_factorization': [[[55832696848384, 0, 136984133632, 0, 78314496, 0, 15616, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 71}
-
id: 1424045
{'charpoly_factorization': [[[-7709463, 565668, -10626, -12, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 73}
-
id: 1424046
{'charpoly_factorization': [[[1961154847965184, 0, 1300560609280, 0, 304364544, 0, 29440, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 79}
-
id: 1424047
{'charpoly_factorization': [[[122448233690689, 0, 1704865636828, 0, 428492934, 0, 35932, 0, 1], 1]], 'hecke_orbit_code': 9007611621933920, 'p': 83}
-
id: 1424048
{'charpoly_factorization': [[[-3170736, 504288, 21288, -312, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 89}
-
id: 1424049
{'charpoly_factorization': [[[-19173311, -1113916, -12090, 68, 1], 2]], 'hecke_orbit_code': 9007611621933920, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 3, 'label': '864.3.g.c', 'level': 864, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 119845000
{'hecke_orbit_code': 9007611621933920, 'n': 1, 'trace_an': 8}
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id: 119845001
{'hecke_orbit_code': 9007611621933920, 'n': 2, 'trace_an': 0}
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id: 119845002
{'hecke_orbit_code': 9007611621933920, 'n': 3, 'trace_an': 0}
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id: 119845003
{'hecke_orbit_code': 9007611621933920, 'n': 4, 'trace_an': 0}
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id: 119845004
{'hecke_orbit_code': 9007611621933920, 'n': 5, 'trace_an': 8}
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id: 119845005
{'hecke_orbit_code': 9007611621933920, 'n': 6, 'trace_an': 0}
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id: 119845006
{'hecke_orbit_code': 9007611621933920, 'n': 7, 'trace_an': 0}
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id: 119845007
{'hecke_orbit_code': 9007611621933920, 'n': 8, 'trace_an': 0}
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id: 119845008
{'hecke_orbit_code': 9007611621933920, 'n': 9, 'trace_an': 0}
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id: 119845009
{'hecke_orbit_code': 9007611621933920, 'n': 10, 'trace_an': 0}
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id: 119845010
{'hecke_orbit_code': 9007611621933920, 'n': 11, 'trace_an': 0}
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id: 119845011
{'hecke_orbit_code': 9007611621933920, 'n': 12, 'trace_an': 0}
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id: 119845012
{'hecke_orbit_code': 9007611621933920, 'n': 13, 'trace_an': -16}
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id: 119845013
{'hecke_orbit_code': 9007611621933920, 'n': 14, 'trace_an': 0}
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id: 119845014
{'hecke_orbit_code': 9007611621933920, 'n': 15, 'trace_an': 0}
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id: 119845015
{'hecke_orbit_code': 9007611621933920, 'n': 16, 'trace_an': 0}
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id: 119845016
{'hecke_orbit_code': 9007611621933920, 'n': 17, 'trace_an': 48}
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id: 119845017
{'hecke_orbit_code': 9007611621933920, 'n': 18, 'trace_an': 0}
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id: 119845018
{'hecke_orbit_code': 9007611621933920, 'n': 19, 'trace_an': 0}
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id: 119845019
{'hecke_orbit_code': 9007611621933920, 'n': 20, 'trace_an': 0}
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