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{'Nk2': 32192, 'analytic_conductor': 64.26360354672646, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [503, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8048, 1, [1007, 6037, 2017], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 12, 'field_disc': 195577709665777927408, 'field_disc_factorization': [[2, 4], [691, 1], [17689734955298293, 1]], 'field_poly': [-208, 576, 1284, -1556, -1463, 1643, 368, -616, 15, 94, -13, -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': [[3, [-208, -576, 1284, 1556, -1463, -1643, 368, 616, 15, -94, -13, 5, 1]], [5, [312, -2320, 5038, -1577, -4199, 2939, 746, -982, 41, 121, -18, -5, 1]], [7, [3271, 13780, 17045, -401, -13108, -4934, 3070, 1780, -195, -217, -12, 8, 1]], [13, [784, -3200, -3476, 34252, -57109, 31671, 1566, -5825, 859, 294, -61, -4, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071490416, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8048.2.a.q', 'level': 8048, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 503], 'level_radical': 1006, 'minimal_twist': '1006.2.a.j', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}-\\beta _{9}q^{5}+(-1-\\beta _{10})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 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{'AL_dims': [[[[2, -1], [503, -1]], 52, 7], [[[2, 1], [503, 1]], 63, 4], [[[2, 1], [503, -1]], 63, 3], [[[2, -1], [503, 1]], 73, 11]], 'ALdims': [63, 63, 73, 52], 'Nk2': 32192, 'analytic_conductor': 64.26360354672646, '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': [8048, 1, [1007, 6037, 2017], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1003, 'dim': 251, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562480, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 5, 10, 12, 12, 21, 21, 26, 28, 29, 33, 33], 'label': '8048.2.a', 'level': 8048, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 503], 'level_radical': 1006, 'mf_dim': 1014, 'mf_new_dim': 251, 'num_forms': 25, 'plus_dim': 115, 'prim_orbit_index': 1, 'relative_dim': 251, 'sturm_bound': 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mf_twists_cc • Show schema
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id: 48028502
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071490416, 'source_is_minimal': False, 'source_label': '8048.2.a.q.1.4', 'source_level': 8048, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057594071490416, 'target_is_minimal': False, 'target_label': '8048.2.a.q.1.4', 'target_level': 8048, 'twist_class_label': '1006.2.a.j.1.9', 'twist_class_level': 1006, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48028503
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071490416, 'source_is_minimal': False, 'source_label': '8048.2.a.q.1.4', 'source_level': 8048, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 40532396679889902, 'target_is_minimal': True, 'target_label': '1006.2.a.j.1.9', 'target_level': 1006, 'twist_class_label': '1006.2.a.j.1.9', 'twist_class_level': 1006, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48028504
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 72057594071490416, 'source_is_minimal': False, 'source_label': '8048.2.a.q.1.4', 'source_level': 8048, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 153122387364160350, 'target_is_minimal': False, 'target_label': '9054.2.a.bi.1.7', 'target_level': 9054, 'twist_class_label': '1006.2.a.j.1.9', 'twist_class_level': 1006, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4644225
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 72057594071490416, 'p': 2}
-
id: 4644226
{'charpoly_factorization': [[[-208, -576, 1284, 1556, -1463, -1643, 368, 616, 15, -94, -13, 5, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 3}
-
id: 4644227
{'charpoly_factorization': [[[312, -2320, 5038, -1577, -4199, 2939, 746, -982, 41, 121, -18, -5, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 5}
-
id: 4644228
{'charpoly_factorization': [[[3271, 13780, 17045, -401, -13108, -4934, 3070, 1780, -195, -217, -12, 8, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 7}
-
id: 4644229
{'charpoly_factorization': [[[-2736, -7040, 4524, 29460, 30341, 4590, -11291, -8069, -1935, 41, 104, 18, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 11}
-
id: 4644230
{'charpoly_factorization': [[[784, -3200, -3476, 34252, -57109, 31671, 1566, -5825, 859, 294, -61, -4, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 13}
-
id: 4644231
{'charpoly_factorization': [[[4992, 77248, 337376, 538912, 251800, -73912, -61364, 4171, 4506, -163, -118, 2, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 17}
-
id: 4644232
{'charpoly_factorization': [[[-424, 5012, 17780, -63591, 51910, -2452, -11956, 2548, 1051, -235, -49, 6, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 19}
-
id: 4644233
{'charpoly_factorization': [[[2974977, 5367757, 260606, -2808103, -1149597, 147477, 163920, 21399, -4572, -1287, -39, 13, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 23}
-
id: 4644234
{'charpoly_factorization': [[[-1632384, 9609152, -15767968, 9120192, -1017352, -866488, 292924, -3333, -11183, 1453, 51, -20, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 29}
-
id: 4644235
{'charpoly_factorization': [[[211328, -1554048, -259392, 921776, 138976, -184620, -29478, 15715, 2613, -557, -90, 7, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 31}
-
id: 4644236
{'charpoly_factorization': [[[388308680, -636365292, 360729944, -61045451, -15220336, 6147502, -84802, -177390, 12389, 2179, -201, -10, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 37}
-
id: 4644237
{'charpoly_factorization': [[[11636352, -3972608, -9550176, 1825456, 2433752, -200816, -254954, 3281, 10772, 117, -182, -2, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 41}
-
id: 4644238
{'charpoly_factorization': [[[22568624, 61202976, 44600432, 1079980, -8096783, -1948655, 257220, 129817, 6617, -1918, -183, 8, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 43}
-
id: 4644239
{'charpoly_factorization': [[[-421292919, 976247674, -561354491, 42435987, 42861654, -6992714, -1338120, 234042, 24625, -3017, -262, 12, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 47}
-
id: 4644240
{'charpoly_factorization': [[[1253640, -3222836, 1820424, 1089095, -1338410, 253006, 122678, -46840, 153, 1435, -91, -12, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 53}
-
id: 4644241
{'charpoly_factorization': [[[96691200, -415596544, 157620928, 239150224, 14770880, -20243012, -2659288, 407069, 59306, -2770, -431, 6, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 59}
-
id: 4644242
{'charpoly_factorization': [[[-19632496, 59781536, -41185608, -22033456, 31324153, -6873138, -1446584, 341847, 39865, -3531, -367, 10, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 61}
-
id: 4644243
{'charpoly_factorization': [[[112948624, -95774848, -28891268, 30197596, 4056605, -3252193, -413183, 126416, 16583, -1842, -250, 7, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 67}
-
id: 4644244
{'charpoly_factorization': [[[-1152, 91072, -1337056, 3653600, -2918216, -162384, 593956, 54713, -27205, -4739, -85, 22, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 71}
-
id: 4644245
{'charpoly_factorization': [[[-248, 7132, 12210, -1108163, 749407, 1423339, 475738, 5048, -19847, -2607, 38, 23, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 73}
-
id: 4644246
{'charpoly_factorization': [[[-11347520, 43029712, -46772648, 8454061, 8890614, -1753402, -588281, 96139, 16882, -2020, -208, 13, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 79}
-
id: 4644247
{'charpoly_factorization': [[[-184141104, 132919712, 391785032, 160311180, -12506623, -16268311, -1705772, 302992, 48783, -1606, -405, 1, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 83}
-
id: 4644248
{'charpoly_factorization': [[[1840063488, 11018782720, -2907665856, -935184528, 279026112, 18243476, -8034984, -61757, 95854, -603, -509, 3, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 89}
-
id: 4644249
{'charpoly_factorization': [[[2828620760, 15933006772, 12513677986, 2759936811, -512029538, -367155198, -75668652, -7469198, -278851, 12779, 1771, 70, 1], 1]], 'hecke_orbit_code': 72057594071490416, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '8048.2.a.q', 'level': 8048, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 239322000
{'hecke_orbit_code': 72057594071490416, 'n': 1, 'trace_an': 12}
-
id: 239322001
{'hecke_orbit_code': 72057594071490416, 'n': 2, 'trace_an': 0}
-
id: 239322002
{'hecke_orbit_code': 72057594071490416, 'n': 3, 'trace_an': -5}
-
id: 239322003
{'hecke_orbit_code': 72057594071490416, 'n': 4, 'trace_an': 0}
-
id: 239322004
{'hecke_orbit_code': 72057594071490416, 'n': 5, 'trace_an': 5}
-
id: 239322005
{'hecke_orbit_code': 72057594071490416, 'n': 6, 'trace_an': 0}
-
id: 239322006
{'hecke_orbit_code': 72057594071490416, 'n': 7, 'trace_an': -8}
-
id: 239322007
{'hecke_orbit_code': 72057594071490416, 'n': 8, 'trace_an': 0}
-
id: 239322008
{'hecke_orbit_code': 72057594071490416, 'n': 9, 'trace_an': 15}
-
id: 239322009
{'hecke_orbit_code': 72057594071490416, 'n': 10, 'trace_an': 0}
-
id: 239322010
{'hecke_orbit_code': 72057594071490416, 'n': 11, 'trace_an': -18}
-
id: 239322011
{'hecke_orbit_code': 72057594071490416, 'n': 12, 'trace_an': 0}
-
id: 239322012
{'hecke_orbit_code': 72057594071490416, 'n': 13, 'trace_an': 4}
-
id: 239322013
{'hecke_orbit_code': 72057594071490416, 'n': 14, 'trace_an': 0}
-
id: 239322014
{'hecke_orbit_code': 72057594071490416, 'n': 15, 'trace_an': -2}
-
id: 239322015
{'hecke_orbit_code': 72057594071490416, 'n': 16, 'trace_an': 0}
-
id: 239322016
{'hecke_orbit_code': 72057594071490416, 'n': 17, 'trace_an': -2}
-
id: 239322017
{'hecke_orbit_code': 72057594071490416, 'n': 18, 'trace_an': 0}
-
id: 239322018
{'hecke_orbit_code': 72057594071490416, 'n': 19, 'trace_an': -6}
-
id: 239322019
{'hecke_orbit_code': 72057594071490416, 'n': 20, 'trace_an': 0}
-
id: 239322020
{'hecke_orbit_code': 72057594071490416, 'n': 21, 'trace_an': 1}
-
id: 239322021
{'hecke_orbit_code': 72057594071490416, 'n': 22, 'trace_an': 0}
-
id: 239322022
{'hecke_orbit_code': 72057594071490416, 'n': 23, 'trace_an': -13}
-
id: 239322023
{'hecke_orbit_code': 72057594071490416, 'n': 24, 'trace_an': 0}
-
id: 239322024
{'hecke_orbit_code': 72057594071490416, 'n': 25, 'trace_an': 1}
-
id: 239322025
{'hecke_orbit_code': 72057594071490416, 'n': 26, 'trace_an': 0}
-
id: 239322026
{'hecke_orbit_code': 72057594071490416, 'n': 27, 'trace_an': -8}
-
id: 239322027
{'hecke_orbit_code': 72057594071490416, 'n': 28, 'trace_an': 0}
-
id: 239322028
{'hecke_orbit_code': 72057594071490416, 'n': 29, 'trace_an': 20}
-
id: 239322029
{'hecke_orbit_code': 72057594071490416, 'n': 30, 'trace_an': 0}
-
id: 239322030
{'hecke_orbit_code': 72057594071490416, 'n': 31, 'trace_an': -7}
-
id: 239322031
{'hecke_orbit_code': 72057594071490416, 'n': 32, 'trace_an': 0}
-
id: 239322032
{'hecke_orbit_code': 72057594071490416, 'n': 33, 'trace_an': -8}
-
id: 239322033
{'hecke_orbit_code': 72057594071490416, 'n': 34, 'trace_an': 0}
-
id: 239322034
{'hecke_orbit_code': 72057594071490416, 'n': 35, 'trace_an': -1}
-
id: 239322035
{'hecke_orbit_code': 72057594071490416, 'n': 36, 'trace_an': 0}
-
id: 239322036
{'hecke_orbit_code': 72057594071490416, 'n': 37, 'trace_an': 10}
-
id: 239322037
{'hecke_orbit_code': 72057594071490416, 'n': 38, 'trace_an': 0}
-
id: 239322038
{'hecke_orbit_code': 72057594071490416, 'n': 39, 'trace_an': -7}
-
id: 239322039
{'hecke_orbit_code': 72057594071490416, 'n': 40, 'trace_an': 0}
-
id: 239322040
{'hecke_orbit_code': 72057594071490416, 'n': 41, 'trace_an': 2}
-
id: 239322041
{'hecke_orbit_code': 72057594071490416, 'n': 42, 'trace_an': 0}
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