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{'Nk2': 32088, 'analytic_conductor': 64.05599250147112, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [191, -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': [8022, 1, [2675, 6877, 2311], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 11, 'field_disc': 31714551387475250940, 'field_disc_factorization': [[2, 2], [3, 4], [5, 1], [41, 1], [79, 1], [113, 1], [53487729941, 1]], 'field_poly': [68, 576, -1771, 736, 1317, -842, -346, 260, 36, -30, -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': [[5, [68, 576, -1771, 736, 1317, -842, -346, 260, 36, -30, -1, 1]], [11, [-684, -4734, 11988, 16285, -5914, -8283, 566, 1245, -11, -68, 0, 1]], [13, [32, 352, -952, -1740, 1748, 2347, -247, -729, -94, 56, 15, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953601878, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8022.2.a.t', 'level': 8022, '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': True, 'level_primes': [2, 3, 7, 191], 'level_radical': 8022, 'minimal_twist': '8022.2.a.t', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+\\beta _{1}q^{5}-q^{6}-q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 11, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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-0.41735234081697264, -0.12991202032753726, -0.22611996227727102, -0.30332035021928666, -0.22698247925886078, -0.1840349368139515, -0.26026626828922395, -0.17857466551365522, -0.24586135214932575, -0.29911980067201466, -0.42478457805819636, -0.23418145189282763, -0.2750431887699692, -0.22958408160823926, -0.23485214611968622], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.147973354447031, 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953601878, 'label': '8022.2.a.t.1.2', 'level': 8022, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [13, 11, 9, 15, 13, 11, 9, 15, 13, 10, 12, 11, 8, 15, 17, 7], 'Nk2': 32088, 'analytic_conductor': 64.05599250147112, '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': [8022, 1, [2675, 6877, 2311], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1529, 'dim': 189, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33562454, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 13, 14, 14, 15, 16], 'label': '8022.2.a', 'level': 8022, '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': True, 'level_primes': [2, 3, 7, 191], 'level_radical': 8022, 'mf_dim': 1544, 'mf_new_dim': 189, 'num_forms': 27, 'plus_dim': 85, 'prim_orbit_index': 1, 'relative_dim': 189, 'sturm_bound': 3072, 'trace_bound': 5, 'trace_display': [-3, 1, -2, 1], 'traces': [189, -3, 1, 189, -2, 1, 1, -3, 189, -2, -4, 1, -26, 1, -10, 189, -22, -3, -12, -2, 1, 12, -8, 1, 187, -10, 1, 1, -10, -2, 0, -3, -4, -22, 6, 189, 14, 20, -2, -2, -14, 1, 4, -4, -2, -8, -32, 1, 189, -29, 10, -26, -34, 1, -56, 1, 20, 22, -20, -10, 22, 0, 1, 189, -12, -4, -4, -22, 8, 6, -24, -3, -30, 14, -1, -12, -20, 6, 0, -2, 189, -14, -12, 1, -4, 12, -2, 12, 18, -2, 14, -8, 0, -16, 8, 1, 58, -3, -4, 187, 30, 10, -8, -10, 6, 14, 28, 1, -18, -40, 6, 1, 26, 4, 80, -10, -26, -4, 2, -2, 185, 6, 26, 0, -84, 1, -48, -3, -4, -12, 20, -4, 12, -60, -10, -22, -30, 8, 92, 6, 48, 40, 88, 189, -12, -62, 1, 14, 46, 31, 72, 20, -22, -4, 48, -2, 38, -16, 6, -2, 24, -3, -52, -14, 40, 4, 40, 1, 195, -36, -12, 4, 22, 14, -33, -4, 20, 2, 84, -2, 30, -2, -50, -8, 4, 16, 104, -32, 1, 8, 1, 1, 26, -38, 52, 189, 14, 12, 104, -29, 20, -18, -2, 10, 92, 72, -8, -26, 80, 6, 108, -34, 8, 68, 88, 1, 0, -90, 42, -56, 60, 22, 80, 1, 187, 26, 148, 20, 46, 16, 12, 22, 98, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 2, 'source_hecke_orbit_code': 85568392953601878, 'source_is_minimal': True, 'source_label': '8022.2.a.t.1.2', 'source_level': 8022, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953601878, 'target_is_minimal': True, 'target_label': '8022.2.a.t.1.2', 'target_level': 8022, 'twist_class_label': '8022.2.a.t.1.2', 'twist_class_level': 8022, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4636950
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 85568392953601878, 'p': 2}
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id: 4636951
{'charpoly_factorization': [[[-1, 1], 11]], 'hecke_orbit_code': 85568392953601878, 'p': 3}
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id: 4636952
{'charpoly_factorization': [[[68, 576, -1771, 736, 1317, -842, -346, 260, 36, -30, -1, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 5}
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id: 4636953
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 85568392953601878, 'p': 7}
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id: 4636954
{'charpoly_factorization': [[[-684, -4734, 11988, 16285, -5914, -8283, 566, 1245, -11, -68, 0, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 11}
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id: 4636955
{'charpoly_factorization': [[[32, 352, -952, -1740, 1748, 2347, -247, -729, -94, 56, 15, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 13}
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id: 4636956
{'charpoly_factorization': [[[-174952, -221124, 80947, 136329, -13018, -27857, 722, 2355, -27, -85, 1, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 17}
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id: 4636957
{'charpoly_factorization': [[[-548, 5502, 19686, 7417, -13045, -5107, 2873, 907, -207, -61, 3, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 19}
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id: 4636958
{'charpoly_factorization': [[[-912, -23184, -59664, -53684, -10203, 11886, 6552, 339, -401, -61, 5, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 23}
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id: 4636959
{'charpoly_factorization': [[[2501706, -3017874, -879327, 1636472, -130862, -207158, 35814, 6634, -1192, -112, 12, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 29}
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id: 4636960
{'charpoly_factorization': [[[4967568, 8716896, -12664602, 3337807, 762658, -339355, -12462, 11884, -5, -180, 1, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 31}
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id: 4636961
{'charpoly_factorization': [[[-340064, -2057288, -3032884, -1434682, 98362, 245739, 52649, -2115, -1630, -89, 12, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 37}
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id: 4636962
{'charpoly_factorization': [[[-1930112, 61075216, -38877448, -2357696, 5248882, -451057, -198421, 23788, 2266, -286, -8, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 41}
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id: 4636963
{'charpoly_factorization': [[[76579904, 34871440, -34386614, -26685859, -4626013, 624838, 233751, 4498, -3240, -181, 14, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 43}
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id: 4636964
{'charpoly_factorization': [[[22845312, -12919104, -6241896, 4742980, -14287, -368670, 19534, 12519, -519, -193, 3, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 47}
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id: 4636965
{'charpoly_factorization': [[[574440, 174690480, 50553042, -24283936, -8300093, 496749, 327425, 9927, -4097, -248, 14, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 53}
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id: 4636966
{'charpoly_factorization': [[[-424949248, 795161560, -605771860, 240269059, -50988455, 4562894, 255865, -92180, 5923, 170, -33, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 59}
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id: 4636967
{'charpoly_factorization': [[[-59642734, -72687488, -15531197, 11271473, 4660394, -184646, -281462, -29074, 2932, 715, 46, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 61}
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id: 4636968
{'charpoly_factorization': [[[5009984, -23322216, 9973044, 7207959, -2717830, -731888, 188423, 28447, -2350, -311, 8, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 67}
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id: 4636969
{'charpoly_factorization': [[[394429872, -274406208, -6112734, 40065379, -5935847, -1306752, 246522, 21374, -3482, -222, 16, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 71}
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id: 4636970
{'charpoly_factorization': [[[54908564, -435839128, -199330631, 67471133, 54151737, 11067657, 634212, -67965, -9729, -147, 26, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 73}
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id: 4636971
{'charpoly_factorization': [[[10066248, -18133092, -51556770, -31501951, -3345614, 1998821, 379034, -20961, -6603, -142, 24, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 79}
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id: 4636972
{'charpoly_factorization': [[[-14899072, -24979168, -3452654, 9778250, 1620301, -1434340, 156, 40161, -664, -375, 4, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 83}
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id: 4636973
{'charpoly_factorization': [[[4948216576, 1622509328, -1627161424, -199650224, 172144348, -14754877, -1607002, 192548, 5026, -772, -5, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 89}
-
id: 4636974
{'charpoly_factorization': [[[-687948224, -877600288, -204551000, 61112664, 29369896, 2129957, -646461, -135100, -7729, 199, 36, 1], 1]], 'hecke_orbit_code': 85568392953601878, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '8022.2.a.t', 'level': 8022, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 247818000
{'hecke_orbit_code': 85568392953601878, 'n': 1, 'trace_an': 11}
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id: 247818001
{'hecke_orbit_code': 85568392953601878, 'n': 2, 'trace_an': -11}
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id: 247818002
{'hecke_orbit_code': 85568392953601878, 'n': 3, 'trace_an': 11}
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id: 247818003
{'hecke_orbit_code': 85568392953601878, 'n': 4, 'trace_an': 11}
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id: 247818004
{'hecke_orbit_code': 85568392953601878, 'n': 5, 'trace_an': 1}
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id: 247818005
{'hecke_orbit_code': 85568392953601878, 'n': 6, 'trace_an': -11}
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id: 247818006
{'hecke_orbit_code': 85568392953601878, 'n': 7, 'trace_an': -11}
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id: 247818007
{'hecke_orbit_code': 85568392953601878, 'n': 8, 'trace_an': -11}
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id: 247818008
{'hecke_orbit_code': 85568392953601878, 'n': 9, 'trace_an': 11}
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id: 247818009
{'hecke_orbit_code': 85568392953601878, 'n': 10, 'trace_an': -1}
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id: 247818010
{'hecke_orbit_code': 85568392953601878, 'n': 11, 'trace_an': 0}
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id: 247818011
{'hecke_orbit_code': 85568392953601878, 'n': 12, 'trace_an': 11}
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id: 247818012
{'hecke_orbit_code': 85568392953601878, 'n': 13, 'trace_an': -15}
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id: 247818013
{'hecke_orbit_code': 85568392953601878, 'n': 14, 'trace_an': 11}
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id: 247818014
{'hecke_orbit_code': 85568392953601878, 'n': 15, 'trace_an': 1}
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id: 247818015
{'hecke_orbit_code': 85568392953601878, 'n': 16, 'trace_an': 11}
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id: 247818016
{'hecke_orbit_code': 85568392953601878, 'n': 17, 'trace_an': -1}
-
id: 247818017
{'hecke_orbit_code': 85568392953601878, 'n': 18, 'trace_an': -11}
-
id: 247818018
{'hecke_orbit_code': 85568392953601878, 'n': 19, 'trace_an': -3}
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id: 247818019
{'hecke_orbit_code': 85568392953601878, 'n': 20, 'trace_an': 1}
-
id: 247818020
{'hecke_orbit_code': 85568392953601878, 'n': 21, 'trace_an': -11}
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id: 247818021
{'hecke_orbit_code': 85568392953601878, 'n': 22, 'trace_an': 0}
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id: 247818977
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id: 247818978
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id: 247818979
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id: 247818980
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id: 247818981
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id: 247818982
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id: 247818983
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id: 247818984
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id: 247818985
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id: 247818986
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id: 247818987
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id: 247818989
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id: 247818990
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id: 247818991
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id: 247818992
{'hecke_orbit_code': 85568392953601878, 'n': 993, 'trace_an': 22}
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id: 247818993
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id: 247818994
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id: 247818995
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id: 247818996
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id: 247818997
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id: 247818998
{'hecke_orbit_code': 85568392953601878, 'n': 999, 'trace_an': -12}
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id: 247818999
{'hecke_orbit_code': 85568392953601878, 'n': 1000, 'trace_an': 27}