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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': 13, 'field_disc': 97728950000099720088767744, 'field_disc_factorization': [[2, 8], [361013, 1], [1057451424014895673, 1]], 'field_poly': [-3574, -56, 18042, 6628, -20661, -4222, 10549, -264, -2086, 262, 172, -30, -5, 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, [3574, -56, -18042, 6628, 20661, -4222, -10549, -264, 2086, 262, -172, -30, 5, 1]], [11, [-256, 2592, 6688, -25904, -16232, 38299, 8104, -14273, -1532, 1861, 111, -78, -2, 1]], [13, [-31264, -211128, -81724, 342930, 191926, -131570, -84518, 14771, 12921, 197, -644, -54, 9, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208342870, '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.v', '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.v', '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': 13, 'rm_discs': [], 'sato_tate_group': 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'dual_conrey_index': 1, 'dual_embedding_index': 10, 'dual_embedding_m': 10, 'embedding_index': 10, 'embedding_m': 10, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.9139668822695837, 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208342870, 'label': '8022.2.a.v.1.10', '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': 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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': 13, 'source_embedding_index': 10, 'source_hecke_orbit_code': 94575592208342870, 'source_is_minimal': True, 'source_label': '8022.2.a.v.1.10', 'source_level': 8022, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 10, 'target_hecke_orbit_code': 94575592208342870, 'target_is_minimal': True, 'target_label': '8022.2.a.v.1.10', 'target_level': 8022, 'twist_class_label': '8022.2.a.v.1.10', '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: 4636200
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 94575592208342870, 'p': 2}
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id: 4636201
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 94575592208342870, 'p': 3}
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id: 4636202
{'charpoly_factorization': [[[3574, -56, -18042, 6628, 20661, -4222, -10549, -264, 2086, 262, -172, -30, 5, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 5}
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id: 4636203
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 94575592208342870, 'p': 7}
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id: 4636204
{'charpoly_factorization': [[[-256, 2592, 6688, -25904, -16232, 38299, 8104, -14273, -1532, 1861, 111, -78, -2, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 11}
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id: 4636205
{'charpoly_factorization': [[[-31264, -211128, -81724, 342930, 191926, -131570, -84518, 14771, 12921, 197, -644, -54, 9, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 13}
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id: 4636206
{'charpoly_factorization': [[[6605744, 24080944, 25576680, 6465248, -3925299, -2230971, -44882, 169639, 25724, -4091, -1147, -9, 15, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 17}
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id: 4636207
{'charpoly_factorization': [[[-456776, 1566262, 1573750, -2027098, -1383850, 552643, 293113, -67805, -23257, 4153, 703, -109, -7, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 19}
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id: 4636208
{'charpoly_factorization': [[[2590592, 322816, -13269344, -3609152, 8839332, 1961988, -984391, -207252, 41594, 8535, -757, -153, 5, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 23}
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id: 4636209
{'charpoly_factorization': [[[31558804, -22593000, -33374612, 9429240, 11258165, -533962, -1328674, -46982, 65720, 4780, -1368, -124, 10, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 29}
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id: 4636210
{'charpoly_factorization': [[[-986752, -2788288, 986400, 3891488, -608542, -1594727, 199358, 229863, -30976, -9168, 1533, 76, -23, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 31}
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id: 4636211
{'charpoly_factorization': [[[-74006528, 234260480, -151943168, -73319680, 36803808, 9062684, -2995966, -535365, 104369, 15575, -1542, -207, 8, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 37}
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id: 4636212
{'charpoly_factorization': [[[-26565664, -130733576, -134861332, -9018834, 33032922, 7130284, -2232982, -574215, 60057, 17486, -642, -224, 2, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 41}
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id: 4636213
{'charpoly_factorization': [[[-36197696, -52567504, 341055568, 569726344, 41240340, -104367449, -25307093, 676572, 616625, 23962, -5084, -309, 14, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 43}
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id: 4636214
{'charpoly_factorization': [[[-4078068224, 1788851072, 2047705824, -626138848, -262226368, 74428484, 9960537, -3056084, -139242, 52317, 703, -385, -1, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 47}
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id: 4636215
{'charpoly_factorization': [[[306296830288, 64815774384, -63139932516, -3973367676, 3560908260, 127402148, -91107197, -2948655, 1193261, 43675, -7781, -336, 20, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 53}
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id: 4636216
{'charpoly_factorization': [[[334912, 12083424, 111465120, 77723056, -33625938, -14898273, 4905835, 653460, -291643, 10396, 3565, -256, -11, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 59}
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id: 4636217
{'charpoly_factorization': [[[-37785922736, -25642498288, 14453689944, 6587532416, -1341748213, -414604873, 62735496, 8745258, -1344648, -51178, 11488, -99, -32, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 61}
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id: 4636218
{'charpoly_factorization': [[[-50071874704, -62948336292, -17182869336, 3183948036, 1650105592, 10656271, -52289702, -3100806, 715759, 61147, -4096, -427, 8, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 67}
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id: 4636219
{'charpoly_factorization': [[[-38516444704, 14450379604, 7717285564, -2399025868, -574633684, 147331753, 20271543, -4192364, -361938, 58830, 3098, -394, -10, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 71}
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id: 4636220
{'charpoly_factorization': [[[4815700294, 18938432502, 2432941706, -4783466682, -607948303, 285051733, 30504721, -6912179, -542942, 81457, 3939, -461, -10, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 73}
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id: 4636221
{'charpoly_factorization': [[[-3117123136, -5713397600, 910257088, 1434728176, -182797862, -117417743, 19024610, 3121923, -709950, -2731, 6957, -240, -20, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 79}
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id: 4636222
{'charpoly_factorization': [[[1049242912, -1742470904, -9442931094, -5722564784, 1313283216, 512369014, -37683473, -14610076, 157498, 148197, 784, -635, -4, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 83}
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id: 4636223
{'charpoly_factorization': [[[-162909969872, 494150282280, 129640709492, -38876098226, -9154607740, 1036315136, 216639314, -15003623, -2286394, 128898, 10882, -576, -19, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 89}
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id: 4636224
{'charpoly_factorization': [[[-2338094848, 13585142848, -20518051296, 10951414384, -1788407056, -259163012, 94070538, -957639, -1448127, 63526, 8661, -493, -16, 1], 1]], 'hecke_orbit_code': 94575592208342870, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '8022.2.a.v', '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: 252349000
{'hecke_orbit_code': 94575592208342870, 'n': 1, 'trace_an': 13}
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id: 252349001
{'hecke_orbit_code': 94575592208342870, 'n': 2, 'trace_an': -13}
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id: 252349002
{'hecke_orbit_code': 94575592208342870, 'n': 3, 'trace_an': -13}
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id: 252349003
{'hecke_orbit_code': 94575592208342870, 'n': 4, 'trace_an': 13}
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