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{'Nk2': 4140, 'analytic_conductor': 8.26451660920252, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [23, 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': [1035, 1, [461, 622, 856], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 98838128, 'field_disc_factorization': [[2, 4], [6177383, 1]], 'field_poly': [-1, 5, 16, -1, -10, -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, [-12, 4, 30, 0, -11, 0, 1]], [7, [236, -116, -201, 134, -12, -6, 1]], [11, [576, 928, 100, -196, -42, 4, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071483403, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1035.2.a.q', 'level': 1035, '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': [3, 5, 23], 'level_radical': 345, 'minimal_twist': '1035.2.a.p', 'nf_label': '6.6.98838128.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+(2+\\beta _{4})q^{4}+q^{5}+(1+\\beta _{3}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1035.2.a', 'trace_display': [0, 0, 6, 6], 'trace_hash': 962302323203403051, 'trace_moments': 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-0.3834461017109225, -0.1506366077754677, -0.324006784340368, -0.14604342438509552, -0.1387218320441325, -0.1706447803321023, -0.3269340676948805, -0.10611306840572463, -0.25916986117606716, -0.35300708007682735, -0.16167898791751398, -0.10778444901169187, -0.2930877462186071, -0.3012048076774957, -0.20807797182256993, -0.3267543658723566, -0.2513787476543837, -0.22417001476663972, -0.06676542107736055, -0.15318195744127858, -0.21118242341313556], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 6, 'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.445409575969294, 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071483403, 'label': '1035.2.a.q.1.6', 'level': 1035, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 6, 6, 2, 5, 6, 3, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [13, 12, 14, 14, 14, 9, 12, 11], 'Nk2': 4140, 'analytic_conductor': 8.26451660920252, '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': [1035, 1, [461, 622, 856], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 137, 'dim': 38, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33555467, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 6, 6], 'label': '1035.2.a', 'level': 1035, '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': [3, 5, 23], 'level_radical': 345, 'mf_dim': 152, 'mf_new_dim': 38, 'num_forms': 17, 'plus_dim': 13, 'prim_orbit_index': 1, 'relative_dim': 38, 'sturm_bound': 288, 'trace_bound': 11, 'trace_display': [2, 0, 0, 4], 'traces': [38, 2, 0, 42, 0, 0, 4, 12, 0, 0, 8, 0, 8, 4, 0, 42, 4, 0, -8, -8, 0, 4, 6, 0, 38, 14, 0, 32, -6, 0, -2, 26, 0, -16, 6, 0, 28, -24, 0, 0, 22, 0, -8, 60, 0, 0, 8, 0, 56, 2, 0, -2, -36, 0, -8, -8, 0, -50, -18, 0, -20, 2, 0, 80, 4, 0, -28, -4, 0, 12, 18, 0, -20, -24, 0, 8, -52, 0, -4, 0, 0, 2, 20, 0, -18, 4, 0, 8, -12, 0, 4, 12, 0, 38, 8, 0, 8, 34, 0, 42, 14, 0, 64, 80, 0, -8, 4, 0, -20, 12, 0, 0, 52, 0, -4, -18, 0, -80, -42, 0, 14, -40, 0, -74, 0, 0, 20, -30, 0, 8, -8, 0, -36, -48, 0, -144, 16, 0, 42, 20, 0, -50, -48, 0, 8, -142, 0, 36, 24, 0, 40, -120, 0, -48, 0, 0, -12, 32, 0, -20, -2, 0, -8, 34, 0, -64, 16, 0, 110, 36, 0, -84, 12, 0, 4, 84, 0, -140, 0, 0, 52, -24, 0, -18, 10, 0, 36, -166, 0, -16, -32, 0, 24, 40, 0, -90, 52, 0, -12, 12, 0, -28, 20, 0, 24, -92, 0, -66, 24, 0, -58, 44, 0, 4, 12, 0, 60, -12, 0, -40, 36, 0, -72, 88, 0, -108, -144, 0, 32, 10, 0, -4, -28, 0, 12, -68, 0, -112, 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-4, 0, -140, 452, 0, -152, 64, 0, 32, -76, 0, -12, 148, 0, -52, -26, 0, -264, 188, 0, -56, -184, 0, 274, 12, 0, -24, 96, 0, -416, -32, 0, -282, -90, 0, -404, 44, 0, -192, -102, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47990152
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 72057594071483403, 'source_is_minimal': True, 'source_label': '1035.2.a.q.1.6', 'source_level': 1035, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 72057594071483403, 'target_is_minimal': True, 'target_label': '1035.2.a.q.1.6', 'target_level': 1035, 'twist_class_label': '1035.2.a.p.1.1', 'twist_class_level': 1035, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47990153
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 72057594071483403, 'source_is_minimal': True, 'source_label': '1035.2.a.q.1.6', 'source_level': 1035, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444112907, 'target_is_minimal': True, 'target_label': '1035.2.a.p.1.1', 'target_level': 1035, 'twist_class_label': '1035.2.a.p.1.1', 'twist_class_level': 1035, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47990154
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 72057594071483403, 'source_is_minimal': True, 'source_label': '1035.2.a.q.1.6', 'source_level': 1035, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402084407, 'target_is_minimal': False, 'target_label': '5175.2.a.by.1.1', 'target_level': 5175, 'twist_class_label': '1035.2.a.p.1.1', 'twist_class_level': 1035, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47990155
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 72057594071483403, 'source_is_minimal': True, 'source_label': '1035.2.a.q.1.6', 'source_level': 1035, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 229683581029454903, 'target_is_minimal': False, 'target_label': '5175.2.a.bz.1.6', 'target_level': 5175, 'twist_class_label': '1035.2.a.p.1.1', 'twist_class_level': 1035, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1619250
{'charpoly_factorization': [[[-12, 4, 30, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 2}
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id: 1619251
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 72057594071483403, 'p': 3}
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id: 1619252
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 72057594071483403, 'p': 5}
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id: 1619253
{'charpoly_factorization': [[[236, -116, -201, 134, -12, -6, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 7}
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id: 1619254
{'charpoly_factorization': [[[576, 928, 100, -196, -42, 4, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 11}
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id: 1619255
{'charpoly_factorization': [[[496, -96, -716, 228, 18, -12, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 13}
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id: 1619256
{'charpoly_factorization': [[[108, 348, 131, -120, -36, 4, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 17}
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id: 1619257
{'charpoly_factorization': [[[64, -2192, -348, 484, -50, -8, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 19}
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id: 1619258
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 72057594071483403, 'p': 23}
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id: 1619259
{'charpoly_factorization': [[[3408, -3224, 365, 274, -46, -6, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 29}
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id: 1619260
{'charpoly_factorization': [[[64, -104, -71, 64, 6, -8, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 31}
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id: 1619261
{'charpoly_factorization': [[[-63824, 48252, -12641, 1014, 104, -22, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 37}
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id: 1619262
{'charpoly_factorization': [[[-7056, -18016, -1267, 1086, 2, -18, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 41}
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id: 1619263
{'charpoly_factorization': [[[-12096, 320, 3232, 416, -96, -8, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 43}
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id: 1619264
{'charpoly_factorization': [[[6912, 23520, 1132, -1060, -74, 12, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 47}
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id: 1619265
{'charpoly_factorization': [[[1212, -5948, 6739, -472, -180, 4, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 53}
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id: 1619266
{'charpoly_factorization': [[[348, 3160, 1869, 82, -90, -6, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 59}
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id: 1619267
{'charpoly_factorization': [[[16784, -18208, 4044, 292, -126, 0, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 61}
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id: 1619268
{'charpoly_factorization': [[[-19892, -9780, 7543, 978, -172, -10, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 67}
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id: 1619269
{'charpoly_factorization': [[[308076, -217168, -2491, 4450, -122, -22, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 71}
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id: 1619270
{'charpoly_factorization': [[[-336, -512, -92, 124, 18, -12, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 73}
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id: 1619271
{'charpoly_factorization': [[[-12288, -1024, 7168, 1344, -256, -4, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 79}
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id: 1619272
{'charpoly_factorization': [[[31536, 24936, -4813, -2432, 0, 24, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 83}
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id: 1619273
{'charpoly_factorization': [[[-575232, -182656, 52800, 2608, -444, -8, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 89}
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id: 1619274
{'charpoly_factorization': [[[93952, -73408, 5168, 4720, -364, -12, 1], 1]], 'hecke_orbit_code': 72057594071483403, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '1035.2.a.q', 'level': 1035, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61274461
{'hecke_orbit_code': 72057594071483403, 'n': 1, 'trace_an': 6}
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id: 61274462
{'hecke_orbit_code': 72057594071483403, 'n': 2, 'trace_an': 0}
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id: 61274463
{'hecke_orbit_code': 72057594071483403, 'n': 3, 'trace_an': 0}
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id: 61274464
{'hecke_orbit_code': 72057594071483403, 'n': 4, 'trace_an': 10}
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