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mf_newforms • Show schema
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{'Nk2': 17280, 'analytic_conductor': 34.49537367319313, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4320, 2, [2431, 3781, 2081, 3457], [1, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 2591, 'dim': 16, 'field_disc': 155785449348201241903104, 'field_disc_factorization': [[2, 32], [3, 8], [74353, 2]], 'field_poly': [2116, 36616, 160676, -2712, 6502, -65248, 43638, -18332, 6063, -3524, 2214, -1120, 523, -168, 44, -8, 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': [[7, [4096, 0, 86016, 0, 238720, 0, 201792, 0, 74913, 0, 13884, 0, 1318, 0, 60, 0, 1]], [11, [784, 3584, 4840, 2288, 81, -212, -38, 4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504080697266400, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 16384, 'hecke_ring_index_factorization': [[2, 14]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 12, 2, 1, 2, 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': '4320.2.h.b', 'level': 4320, '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, 5], 'level_radical': 30, 'minimal_twist': '4320.2.h.b', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{10}q^{5}+(-\\beta _{11}+\\beta _{15})q^{7}+\\beta _{6}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4320.2.h', 'trace_display': [0, 0, 0, 0], 'trace_hash': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 17280, 'analytic_conductor': 34.49537367319313, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4320, 2, [2431, 3781, 2081, 3457], [1, 2, 1, 2]], 'conrey_index': 2591, 'cusp_dim': 816, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 481069895904, 'hecke_orbit_dims': [16, 16, 16, 16], 'label': '4320.2.h', 'level': 4320, '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, 5], 'level_radical': 30, 'mf_dim': 912, 'mf_new_dim': 64, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 64, 'sturm_bound': 1728, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 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, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 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, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 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, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 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, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 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, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1199571
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '4320.2.h.b', 'source_level': 4320, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '4320.2.h.b', 'target_level': 4320, 'twist_class_label': '4320.2.h.b', 'twist_class_level': 4320, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1199572
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '4320.2.h.b', 'source_level': 4320, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '4320.2.h.b', 'target_level': 4320, 'twist_class_label': '4320.2.h.b', 'twist_class_level': 4320, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1199573
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '4320.2.h.b', 'source_level': 4320, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '4320.2.h.c', 'target_level': 4320, 'twist_class_label': '4320.2.h.b', 'twist_class_level': 4320, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1199574
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '4320.2.h.b', 'source_level': 4320, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '4320.2.h.c', 'target_level': 4320, 'twist_class_label': '4320.2.h.b', 'twist_class_level': 4320, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3565000
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4504080697266400, 'p': 2}
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id: 3565001
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4504080697266400, 'p': 3}
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id: 3565002
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 4504080697266400, 'p': 5}
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id: 3565003
{'charpoly_factorization': [[[4096, 0, 86016, 0, 238720, 0, 201792, 0, 74913, 0, 13884, 0, 1318, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 7}
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id: 3565004
{'charpoly_factorization': [[[784, 3584, 4840, 2288, 81, -212, -38, 4, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 11}
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id: 3565005
{'charpoly_factorization': [[[1129, 660, -5516, 1916, 926, -212, -60, 4, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 13}
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id: 3565006
{'charpoly_factorization': [[[614656, 0, 13622784, 0, 19331104, 0, 9193248, 0, 1837329, 0, 159300, 0, 6646, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 17}
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id: 3565007
{'charpoly_factorization': [[[7072137216, 0, 4675276800, 0, 1229008896, 0, 167182368, 0, 12832801, 0, 569372, 0, 14310, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 19}
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id: 3565008
{'charpoly_factorization': [[[400, -320, -1688, 2128, -711, -64, 82, -16, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 23}
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id: 3565009
{'charpoly_factorization': [[[6718464, 0, 469172736, 0, 991512576, 0, 223801488, 0, 20379553, 0, 922756, 0, 21606, 0, 244, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 29}
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id: 3565010
{'charpoly_factorization': [[[2570895616, 0, 4106275584, 0, 1820483168, 0, 307822704, 0, 24963585, 0, 1053996, 0, 23366, 0, 252, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 31}
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id: 3565011
{'charpoly_factorization': [[[432400, -60800, -92888, 4240, 6609, 140, -146, -4, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 37}
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id: 3565012
{'charpoly_factorization': [[[33785380864, 0, 45738754048, 0, 18906841088, 0, 3184398336, 0, 219071744, 0, 5997312, 0, 75872, 0, 448, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 41}
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id: 3565013
{'charpoly_factorization': [[[109047890176, 0, 264733148928, 0, 111144923488, 0, 9594243504, 0, 364022289, 0, 7261452, 0, 79126, 0, 444, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 43}
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id: 3565014
{'charpoly_factorization': [[[-4559600, 1973920, 93872, -131400, 9401, 2064, -214, -8, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 47}
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id: 3565015
{'charpoly_factorization': [[[217558810624, 0, 146298765312, 0, 34518040576, 0, 3612659712, 0, 175809792, 0, 4387584, 0, 57952, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 53}
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id: 3565016
{'charpoly_factorization': [[[116992, 315392, 219776, 25088, -10976, -2624, -88, 16, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 59}
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id: 3565017
{'charpoly_factorization': [[[33424, -40256, -32840, 5152, 4569, 140, -122, -4, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 61}
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id: 3565018
{'charpoly_factorization': [[[1357775104, 0, 5355673344, 0, 5905170272, 0, 1326419376, 0, 93072945, 0, 2936940, 0, 46070, 0, 348, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 67}
-
id: 3565019
{'charpoly_factorization': [[[4096, -28672, 45568, -256, -13344, -2912, -104, 16, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 71}
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id: 3565020
{'charpoly_factorization': [[[-25992128, -12657792, -1086320, 280400, 39113, -1916, -354, 4, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 73}
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id: 3565021
{'charpoly_factorization': [[[30162310929, 0, 1047345693912, 0, 244362588876, 0, 20253332808, 0, 744678070, 0, 13471528, 0, 124908, 0, 568, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 79}
-
id: 3565022
{'charpoly_factorization': [[[-123392, -67072, 288640, 79232, -3408, -2240, -80, 16, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 83}
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id: 3565023
{'charpoly_factorization': [[[23499380883456, 0, 8299842895872, 0, 1017234063360, 0, 59001102336, 0, 1767186688, 0, 27440640, 0, 214304, 0, 768, 0, 1], 1]], 'hecke_orbit_code': 4504080697266400, 'p': 89}
-
id: 3565024
{'charpoly_factorization': [[[-3103344, 5155776, -2269320, 41472, 53209, -1388, -426, 4, 1], 2]], 'hecke_orbit_code': 4504080697266400, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 2, 'label': '4320.2.h.b', 'level': 4320, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 23097169
{'hecke_orbit_code': 4504080697266400, 'n': 1, 'trace_an': 16}
-
id: 23097170
{'hecke_orbit_code': 4504080697266400, 'n': 2, 'trace_an': 0}
-
id: 23097171
{'hecke_orbit_code': 4504080697266400, 'n': 3, 'trace_an': 0}
-
id: 23097172
{'hecke_orbit_code': 4504080697266400, 'n': 4, 'trace_an': 0}
-
id: 23097173
{'hecke_orbit_code': 4504080697266400, 'n': 5, 'trace_an': 0}
-
id: 23097174
{'hecke_orbit_code': 4504080697266400, 'n': 6, 'trace_an': 0}
-
id: 23097175
{'hecke_orbit_code': 4504080697266400, 'n': 7, 'trace_an': 0}
-
id: 23097176
{'hecke_orbit_code': 4504080697266400, 'n': 8, 'trace_an': 0}
-
id: 23097177
{'hecke_orbit_code': 4504080697266400, 'n': 9, 'trace_an': 0}
-
id: 23097178
{'hecke_orbit_code': 4504080697266400, 'n': 10, 'trace_an': 0}
-
id: 23097179
{'hecke_orbit_code': 4504080697266400, 'n': 11, 'trace_an': -8}
-
id: 23097180
{'hecke_orbit_code': 4504080697266400, 'n': 12, 'trace_an': 0}
-
id: 23097181
{'hecke_orbit_code': 4504080697266400, 'n': 13, 'trace_an': -8}
-
id: 23097182
{'hecke_orbit_code': 4504080697266400, 'n': 14, 'trace_an': 0}
-
id: 23097183
{'hecke_orbit_code': 4504080697266400, 'n': 15, 'trace_an': 0}
-
id: 23097184
{'hecke_orbit_code': 4504080697266400, 'n': 16, 'trace_an': 0}
-
id: 23097185
{'hecke_orbit_code': 4504080697266400, 'n': 17, 'trace_an': 0}
-
id: 23097186
{'hecke_orbit_code': 4504080697266400, 'n': 18, 'trace_an': 0}
-
id: 23097187
{'hecke_orbit_code': 4504080697266400, 'n': 19, 'trace_an': 0}
-
id: 23097188
{'hecke_orbit_code': 4504080697266400, 'n': 20, 'trace_an': 0}
-
id: 23097189
{'hecke_orbit_code': 4504080697266400, 'n': 21, 'trace_an': 0}
-
id: 23097190
{'hecke_orbit_code': 4504080697266400, 'n': 22, 'trace_an': 0}
-
id: 23097191
{'hecke_orbit_code': 4504080697266400, 'n': 23, 'trace_an': 32}
-
id: 23097192
{'hecke_orbit_code': 4504080697266400, 'n': 24, 'trace_an': 0}
-
id: 23097193
{'hecke_orbit_code': 4504080697266400, 'n': 25, 'trace_an': -16}
-
id: 23097194
{'hecke_orbit_code': 4504080697266400, 'n': 26, 'trace_an': 0}
-
id: 23097195
{'hecke_orbit_code': 4504080697266400, 'n': 27, 'trace_an': 0}
-
id: 23097196
{'hecke_orbit_code': 4504080697266400, 'n': 28, 'trace_an': 0}
-
id: 23097197
{'hecke_orbit_code': 4504080697266400, 'n': 29, 'trace_an': 0}
-
id: 23097198
{'hecke_orbit_code': 4504080697266400, 'n': 30, 'trace_an': 0}
-
id: 23097199
{'hecke_orbit_code': 4504080697266400, 'n': 31, 'trace_an': 0}
-
id: 23097200
{'hecke_orbit_code': 4504080697266400, 'n': 32, 'trace_an': 0}
-
id: 23097201
{'hecke_orbit_code': 4504080697266400, 'n': 33, 'trace_an': 0}
-
id: 23097202
{'hecke_orbit_code': 4504080697266400, 'n': 34, 'trace_an': 0}
-
id: 23097203
{'hecke_orbit_code': 4504080697266400, 'n': 35, 'trace_an': 0}
-
id: 23097204
{'hecke_orbit_code': 4504080697266400, 'n': 36, 'trace_an': 0}
-
id: 23097205
{'hecke_orbit_code': 4504080697266400, 'n': 37, 'trace_an': 8}
-
id: 23097206
{'hecke_orbit_code': 4504080697266400, 'n': 38, 'trace_an': 0}
-
id: 23097207
{'hecke_orbit_code': 4504080697266400, 'n': 39, 'trace_an': 0}
-
id: 23097208
{'hecke_orbit_code': 4504080697266400, 'n': 40, 'trace_an': 0}
-
id: 23097209
{'hecke_orbit_code': 4504080697266400, 'n': 41, 'trace_an': 0}
-
id: 23097210
{'hecke_orbit_code': 4504080697266400, 'n': 42, 'trace_an': 0}
-
id: 23097211
{'hecke_orbit_code': 4504080697266400, 'n': 43, 'trace_an': 0}
-
id: 23097212
{'hecke_orbit_code': 4504080697266400, 'n': 44, 'trace_an': 0}
-
id: 23097213
{'hecke_orbit_code': 4504080697266400, 'n': 45, 'trace_an': 0}
-
id: 23097214
{'hecke_orbit_code': 4504080697266400, 'n': 46, 'trace_an': 0}
-
id: 23097215
{'hecke_orbit_code': 4504080697266400, 'n': 47, 'trace_an': 16}
-
id: 23097216
{'hecke_orbit_code': 4504080697266400, 'n': 48, 'trace_an': 0}
-
id: 23097217
{'hecke_orbit_code': 4504080697266400, 'n': 49, 'trace_an': -8}
-
id: 23097218
{'hecke_orbit_code': 4504080697266400, 'n': 50, 'trace_an': 0}
-
id: 23097219
{'hecke_orbit_code': 4504080697266400, 'n': 51, 'trace_an': 0}
-
id: 23097220
{'hecke_orbit_code': 4504080697266400, 'n': 52, 'trace_an': 0}
-
id: 23097221
{'hecke_orbit_code': 4504080697266400, 'n': 53, 'trace_an': 0}
-
id: 23097222
{'hecke_orbit_code': 4504080697266400, 'n': 54, 'trace_an': 0}
-
id: 23097223
{'hecke_orbit_code': 4504080697266400, 'n': 55, 'trace_an': 0}
-
id: 23097224
{'hecke_orbit_code': 4504080697266400, 'n': 56, 'trace_an': 0}
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id: 23097426
{'hecke_orbit_code': 4504080697266400, 'n': 997, 'trace_an': 96}