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mf_newforms • Show schema
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{'Nk2': 7440, 'analytic_conductor': 14.85217477595815, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1860, 3, [931, 1241, 1117, 1801], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 1141, 'dim': 8, 'field_disc': 102293147889, 'field_disc_factorization': [[3, 4], [35537, 2]], 'field_poly': [16, 20, 45, -9, 31, 0, 9, -2, 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, [36, -42, 91, -23, 97, -56, 29, -6, 1]], [11, [6561, -648, 2170, 208, 595, 16, 26, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526296936777540, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 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mf_hecke_nf • Show schema
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-19, 4, -11, 0], [-16, 0, -2, 4, 0, 0, 0, -1], [-6, 5, 15, -5, 6, -1, 15, -1], [-3, 0, -4, -11, 0, 0, 0, -6], [0, 0, 0, 0, 5, 6, -9, 0], [33, 22, 0, -22, -33, 6, 0, 6], [22, 5, -7, -5, -22, -3, -7, -3], [0, -19, 0, 0, 32, -10, -4, 0], [0, -7, 0, 0, 20, -3, -4, 0], [4, 0, -8, 19, 0, 0, 0, -2], [-28, -23, -7, 23, 28, -4, -7, -4], [22, 0, 17, -10, 0, 0, 0, 9], [-17, -5, -22, 5, 17, -3, -22, -3], [-20, 17, -3, -17, 20, -7, -3, -7], [-4, 18, -3, -18, 4, -9, -3, -9], [13, 0, -13, 2, 0, 0, 0, -5], [-20, 0, -16, 6, 0, 0, 0, 5], [-65, -4, -9, 4, 65, -2, -9, -2], [-34, -16, -9, 16, 34, -2, -9, -2], [0, 1, 0, 0, -19, -6, 13, 0], [14, 4, 6, -4, -14, -8, 6, -8], [20, 21, 10, -21, -20, -6, 10, -6], [4, 0, 4, -25, 0, 0, 0, 9]], 'char_orbit_index': 17, 'field_poly': [16, 20, 45, -9, 31, 0, 9, -2, 1], 'hecke_orbit_code': 31526296936777540, 'hecke_ring_character_values': [[931, [1, 0, 0, 0, 0, 0, 0, 0]], [1241, [1, 0, 0, 0, 0, 0, 0, 0]], [1117, [1, 0, 0, 0, 0, 0, 0, 0]], [1801, [-1, 0, 0, 0, 1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 11069, 11069, 44276, 44276, 44276, 11069], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-3, 1, -1, -1, 3, 0, -1, 0], [-3, 0, -2, -6, 0, 0, 0, -1], [0, -12, 0, 0, -17, 2, 9, 0], [34, -45, 23, 45, -34, 9, 23, 9], [126, 0, 77, 116, 0, 0, 0, 23], [0, 373, 0, 0, 325, -77, -216, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-24659, -1232, -2420, 2809, -1166, -682, 389, -110], [-6068, -1736, -3410, -7614, -1643, -961, 45, -155], [20880, -54625, 44109, -40455, 3844, -13833, 3654, -1517], [-59760, 286115, -126243, 115785, -47644, 39591, -10458, 2815], [52720, -107727, 111371, -102145, 22768, -34927, 9226, -3491], [52519, 12880, 25300, 28997, 12190, 7130, -1048, 1150]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1860.2.q.h', 'level': 1860, 'maxp': 1999, 'weight': 2}
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{'Nk2': 7440, 'analytic_conductor': 14.85217477595815, 'char_conductor': 31, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1860, 3, [931, 1241, 1117, 1801], [3, 3, 3, 1]], 'conrey_index': 1141, 'cusp_dim': 744, 'dim': 44, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1099545184068, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 6, 6, 8, 12], 'label': '1860.2.q', 'level': 1860, '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, 31], 'level_radical': 930, 'mf_dim': 792, 'mf_new_dim': 44, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 22, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [0, -2, 0, -4], 'traces': [44, 0, -2, 0, 0, 0, -4, 0, -22, 0, -4, 0, 2, 0, 0, 0, -20, 0, 2, 0, -4, 0, 16, 0, -22, 0, 4, 0, -32, 0, 4, 0, -16, 0, -16, 0, -14, 0, 20, 0, -24, 0, -18, 0, 0, 0, 16, 0, -14, 0, 4, 0, 12, 0, 4, 0, 2, 0, -12, 0, 32, 0, 8, 0, 0, 0, -8, 0, 0, 0, 4, 0, 10, 0, -2, 0, -16, 0, 4, 0, -22, 0, -20, 0, 24, 0, -4, 0, 32, 0, -56, 0, -10, 0, 0, 0, -28, 0, -4, 0, -48, 0, -22, 0, -8, 0, 16, 0, -28, 0, 22, 0, -8, 0, -8, 0, 2, 0, 20, 0, -30, 0, 0, 0, 0, 0, 10, 0, -10, 0, 4, 0, -16, 0, 0, 0, 64, 0, 40, 0, 16, 0, 60, 0, -24, 0, 68, 0, -8, 0, -36, 0, 40, 0, 0, 0, -36, 0, -16, 0, -4, 0, 76, 0, 0, 0, 20, 0, -16, 0, -4, 0, -32, 0, -4, 0, 0, 0, -8, 0, 42, 0, -28, 0, -8, 0, -64, 0, -4, 0, -4, 0, 26, 0, 0, 0, -36, 0, 28, 0, 0, 0, -116, 0, 24, 0, -8, 0, -88, 0, 26, 0, -24, 0, 8, 0, -12, 0, -60, 0, 120, 0, -26, 0, 44, 0, 8, 0, -10, 0, -12, 0, 24, 0, 8, 0, -24, 0, 48, 0, -26, 0, -2, 0, 16, 0, 20, 0, 112, 0, 48, 0, -40, 0, 4, 0, 40, 0, -80, 0, 16, 0, 0, 0, -32, 0, 0, 0, 32, 0, 68, 0, 8, 0, 8, 0, 60, 0, -14, 0, -16, 0, -84, 0, -16, 0, -152, 0, -2, 0, 22, 0, 52, 0, 16, 0, 8, 0, 76, 0, 28, 0, 28, 0, -24, 0, 22, 0, -44, 0, -16, 0, -42, 0, 8, 0, -64, 0, -32, 0, 12, 0, 48, 0, -4, 0, 14, 0, 56, 0, -34, 0, 28, 0, -32, 0, 120, 0, 0, 0, 64, 0, -8, 0, -8, 0, 96, 0, -12, 0, -10, 0, -20, 0, -32, 0, -96, 0, -144, 0, -56, 0, -26, 0, 12, 0, 58, 0, -24, 0, 80, 0, 292, 0, 0, 0, -72, 0, 2, 0, -62, 0, 68, 0, 12, 0, 36, 0, -56, 0, -64, 0, -40, 0, -48, 0, 16, 0, -40, 0, -184, 0, 58, 0, 0, 0, 176, 0, -30, 0, 104, 0, 28, 0, 12, 0, -48, 0, 24, 0, 56, 0, -8, 0, -20, 0, 64, 0, 8, 0, 64, 0, -60, 0, 8, 0, 112, 0, 22, 0, -14, 0, 92, 0, -8, 0, -28, 0, -8, 0, 132, 0, 22, 0, -24, 0, 108, 0, 4, 0, 24, 0, 228, 0, -16, 0, 72, 0, 40, 0, 2, 0, -24, 0, 2, 0, 12, 0, 32, 0, -140, 0, 64, 0, -40, 0, 74, 0, -18, 0, 4, 0, -40, 0, -8, 0, -136, 0, -96, 0, 24, 0, 112, 0, 28, 0, -8, 0, -116, 0, 256, 0, 2, 0, -4, 0, 28, 0, 0, 0, 64, 0, 32, 0, 8, 0, -120, 0, -12, 0, 24, 0, -144, 0, 16, 0, 20, 0, -80, 0, -94, 0, 36, 0, -8, 0, -74, 0, -16, 0, -64, 0, -68, 0, -8, 0, 72, 0, 180, 0, -44, 0, -156, 0, 4, 0, -4, 0, 120, 0, -74, 0, 8, 0, -8, 0, -92, 0, -74, 0, -256, 0, -4, 0, 0, 0, -384, 0, -130, 0, -72, 0, -136, 0, 12, 0, 64, 0, 8, 0, 16, 0, -8, 0, 96, 0, 78, 0, -4, 0, 220, 0, -66, 0, -12, 0, 92, 0, -196, 0, 0, 0, 140, 0, -22, 0, -48, 0, 12, 0, -100, 0, -30, 0, -72, 0, 10, 0, 4, 0, 192, 0, 4, 0, -4, 0, 40, 0, 48, 0, -76, 0, 384, 0, -72, 0, 10, 0, 24, 0, -30, 0, 56, 0, 40, 0, -80, 0, 94, 0, 88, 0, -288, 0, -2, 0, 0, 0, 48, 0, 8, 0, 88, 0, -36, 0, 126, 0, 72, 0, 0, 0, 8, 0, 48, 0, 144, 0, 88, 0, -64, 0, -90, 0, 64, 0, -36, 0, -196, 0, -8, 0, 72, 0, 16, 0, 216, 0, 148, 0, -144, 0, 22, 0, 16, 0, -226, 0, 44, 0, -152, 0, -66, 0, 0, 0, -148, 0, -70, 0, -18, 0, -112, 0, 56, 0, -20, 0, 32, 0, -54, 0, -16, 0, 32, 0, -96, 0, 8, 0, 32, 0, 136, 0, -12, 0, -360, 0, 120, 0, 40, 0, 184, 0, 10, 0, -144, 0, 104, 0, 176, 0, 8, 0, 36, 0, -38, 0, -68, 0, -144, 0, 100, 0, -32, 0, 64, 0, 36, 0, -16, 0, -52, 0, -88, 0, -96, 0, 60, 0, 210, 0, 26, 0, 80, 0, 18, 0, 28, 0, -32, 0, -32, 0, 8, 0, 72, 0, -68, 0, 90, 0, 320, 0, 264, 0, 8, 0, 136, 0, 356, 0, -100, 0, 0, 0, -36, 0, 70, 0, -24, 0, 68, 0, 0, 0, 4, 0, 58, 0, 64, 0, -180, 0, -24, 0, -116, 0, -424, 0, 24, 0, 14, 0, 8, 0, -66, 0, -52, 0, -76, 0, -196, 0, -44, 0, -28, 0, 56, 0, 8, 0, -176, 0, 16, 0, 168, 0, 204, 0, -160, 0, -176, 0, -88, 0, 104, 0, 24, 0, -28, 0, 16, 0, -32, 0, -88, 0, -10, 0, -46, 0, -68, 0, -14, 0, -22, 0, -40, 0, -524, 0, -80, 0, -108, 0, -42, 0, 14, 0, 12, 0, 164, 0, 16, 0, 168, 0, -182, 0, -28, 0, -224, 0, -44, 0, -16, 0, -160, 0, -40, 0, -32, 0, -184, 0, 92, 0, -96, 0, 132, 0, 28, 0, -10, 0, 144, 0, -48, 0, 14, 0, -92, 0, 20, 0, 0, 0, 84, 0, 100, 0, 172, 0, 24, 0, 64, 0, 22, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 828851
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1860.2.q.h', 'source_level': 1860, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1860.2.q.h', 'target_level': 1860, 'twist_class_label': '1860.2.q.h', 'twist_class_level': 1860, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 828852
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1860.2.q.h', 'source_level': 1860, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1860.2.q.h', 'target_level': 1860, 'twist_class_label': '1860.2.q.h', 'twist_class_level': 1860, 'twisting_char_label': '31.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2260925
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31526296936777540, 'p': 2}
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id: 2260926
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 31526296936777540, 'p': 3}
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id: 2260927
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 31526296936777540, 'p': 5}
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id: 2260928
{'charpoly_factorization': [[[36, -42, 91, -23, 97, -56, 29, -6, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 7}
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id: 2260929
{'charpoly_factorization': [[[6561, -648, 2170, 208, 595, 16, 26, 0, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 11}
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id: 2260930
{'charpoly_factorization': [[[4, -2, 61, 26, 899, -28, 31, 1, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 13}
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id: 2260931
{'charpoly_factorization': [[[34596, 22134, 13045, 3318, 1055, 196, 55, 7, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 17}
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id: 2260932
{'charpoly_factorization': [[[11664, -10692, 8505, -2700, 945, -114, 61, -7, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 19}
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id: 2260933
{'charpoly_factorization': [[[144, 301, -60, -5, 1], 2]], 'hecke_orbit_code': 31526296936777540, 'p': 23}
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id: 2260934
{'charpoly_factorization': [[[103, -161, -7, 10, 1], 2]], 'hecke_orbit_code': 31526296936777540, 'p': 29}
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id: 2260935
{'charpoly_factorization': [[[923521, -208537, 64387, -14849, 2399, -479, 67, -7, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 31}
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id: 2260936
{'charpoly_factorization': [[[16, -20, 45, 9, 31, 0, 9, 2, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 37}
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id: 2260937
{'charpoly_factorization': [[[5184, -9504, 13392, -6960, 2812, -432, 65, 3, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 41}
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id: 2260938
{'charpoly_factorization': [[[355216, -130524, 86701, 9467, 4505, 178, 81, 4, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 43}
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id: 2260939
{'charpoly_factorization': [[[-18, -81, -10, 7, 1], 2]], 'hecke_orbit_code': 31526296936777540, 'p': 47}
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id: 2260940
{'charpoly_factorization': [[[37356544, 5348000, 1547961, 22464, 19897, -342, 249, -11, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 53}
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id: 2260941
{'charpoly_factorization': [[[4782969, 295245, 304722, 8559, 15784, 516, 167, -6, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 59}
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id: 2260942
{'charpoly_factorization': [[[-423, 1239, -163, -6, 1], 2]], 'hecke_orbit_code': 31526296936777540, 'p': 61}
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id: 2260943
{'charpoly_factorization': [[[5184, 8856, 12033, 5289, 1921, 246, 43, 0, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 67}
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id: 2260944
{'charpoly_factorization': [[[14493249, 993627, 810486, 162297, 49140, 5982, 589, 28, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 71}
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id: 2260945
{'charpoly_factorization': [[[114147856, 38943180, 10924861, 1083329, 106910, 4417, 390, 13, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 73}
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id: 2260946
{'charpoly_factorization': [[[178929, -465723, 1292994, 208599, 38260, 1820, 195, 2, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 79}
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id: 2260947
{'charpoly_factorization': [[[6522916, 33202, 378161, -7032, 19337, -174, 149, 1, 1], 1]], 'hecke_orbit_code': 31526296936777540, 'p': 83}
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id: 2260948
{'charpoly_factorization': [[[-10071, 3951, -285, -10, 1], 2]], 'hecke_orbit_code': 31526296936777540, 'p': 89}
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id: 2260949
{'charpoly_factorization': [[[-324, 423, -69, -7, 1], 2]], 'hecke_orbit_code': 31526296936777540, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 8, 'label': '1860.2.q.h', 'level': 1860, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50196715
{'hecke_orbit_code': 31526296936777540, 'n': 1, 'trace_an': 8}
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id: 50196716
{'hecke_orbit_code': 31526296936777540, 'n': 2, 'trace_an': 0}
-
id: 50196717
{'hecke_orbit_code': 31526296936777540, 'n': 3, 'trace_an': 4}
-
id: 50196718
{'hecke_orbit_code': 31526296936777540, 'n': 4, 'trace_an': 0}
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id: 50196719
{'hecke_orbit_code': 31526296936777540, 'n': 5, 'trace_an': -4}
-
id: 50196720
{'hecke_orbit_code': 31526296936777540, 'n': 6, 'trace_an': 0}
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id: 50196721
{'hecke_orbit_code': 31526296936777540, 'n': 7, 'trace_an': 6}
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id: 50196722
{'hecke_orbit_code': 31526296936777540, 'n': 8, 'trace_an': 0}
-
id: 50196723
{'hecke_orbit_code': 31526296936777540, 'n': 9, 'trace_an': -4}
-
id: 50196724
{'hecke_orbit_code': 31526296936777540, 'n': 10, 'trace_an': 0}
-
id: 50196725
{'hecke_orbit_code': 31526296936777540, 'n': 11, 'trace_an': 0}
-
id: 50196726
{'hecke_orbit_code': 31526296936777540, 'n': 12, 'trace_an': 0}
-
id: 50196727
{'hecke_orbit_code': 31526296936777540, 'n': 13, 'trace_an': -1}
-
id: 50196728
{'hecke_orbit_code': 31526296936777540, 'n': 14, 'trace_an': 0}
-
id: 50196729
{'hecke_orbit_code': 31526296936777540, 'n': 15, 'trace_an': -8}
-
id: 50196730
{'hecke_orbit_code': 31526296936777540, 'n': 16, 'trace_an': 0}
-
id: 50196731
{'hecke_orbit_code': 31526296936777540, 'n': 17, 'trace_an': -7}
-
id: 50196732
{'hecke_orbit_code': 31526296936777540, 'n': 18, 'trace_an': 0}
-
id: 50196733
{'hecke_orbit_code': 31526296936777540, 'n': 19, 'trace_an': 7}
-
id: 50196734
{'hecke_orbit_code': 31526296936777540, 'n': 20, 'trace_an': 0}
-
id: 50196735
{'hecke_orbit_code': 31526296936777540, 'n': 21, 'trace_an': -6}
-
id: 50196736
{'hecke_orbit_code': 31526296936777540, 'n': 22, 'trace_an': 0}
-
id: 50196737
{'hecke_orbit_code': 31526296936777540, 'n': 23, 'trace_an': 10}
-
id: 50196738
{'hecke_orbit_code': 31526296936777540, 'n': 24, 'trace_an': 0}
-
id: 50196739
{'hecke_orbit_code': 31526296936777540, 'n': 25, 'trace_an': -4}
-
id: 50196740
{'hecke_orbit_code': 31526296936777540, 'n': 26, 'trace_an': 0}
-
id: 50196741
{'hecke_orbit_code': 31526296936777540, 'n': 27, 'trace_an': -8}
-
id: 50196742
{'hecke_orbit_code': 31526296936777540, 'n': 28, 'trace_an': 0}
-
id: 50196743
{'hecke_orbit_code': 31526296936777540, 'n': 29, 'trace_an': -20}
-
id: 50196744
{'hecke_orbit_code': 31526296936777540, 'n': 30, 'trace_an': 0}
-
id: 50196745
{'hecke_orbit_code': 31526296936777540, 'n': 31, 'trace_an': 7}
-
id: 50196746
{'hecke_orbit_code': 31526296936777540, 'n': 32, 'trace_an': 0}
-
id: 50196747
{'hecke_orbit_code': 31526296936777540, 'n': 33, 'trace_an': 0}
-
id: 50196748
{'hecke_orbit_code': 31526296936777540, 'n': 34, 'trace_an': 0}
-
id: 50196749
{'hecke_orbit_code': 31526296936777540, 'n': 35, 'trace_an': -12}
-
id: 50196750
{'hecke_orbit_code': 31526296936777540, 'n': 36, 'trace_an': 0}
-
id: 50196751
{'hecke_orbit_code': 31526296936777540, 'n': 37, 'trace_an': -2}
-
id: 50196752
{'hecke_orbit_code': 31526296936777540, 'n': 38, 'trace_an': 0}
-
id: 50196753
{'hecke_orbit_code': 31526296936777540, 'n': 39, 'trace_an': -2}
-
id: 50196754
{'hecke_orbit_code': 31526296936777540, 'n': 40, 'trace_an': 0}
-
id: 50196755
{'hecke_orbit_code': 31526296936777540, 'n': 41, 'trace_an': -3}
-
id: 50196756
{'hecke_orbit_code': 31526296936777540, 'n': 42, 'trace_an': 0}
-
id: 50196757
{'hecke_orbit_code': 31526296936777540, 'n': 43, 'trace_an': -4}
-
id: 50196758
{'hecke_orbit_code': 31526296936777540, 'n': 44, 'trace_an': 0}
-
id: 50196759
{'hecke_orbit_code': 31526296936777540, 'n': 45, 'trace_an': -4}
-
id: 50196760
{'hecke_orbit_code': 31526296936777540, 'n': 46, 'trace_an': 0}
-
id: 50196761
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