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{'Nk2': 37004, 'analytic_conductor': 73.86960690988649, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, 1], [29, 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': [9251, 1, [7570, 1684], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 18, 'field_disc': 193284267516575185994814337890625, 'field_disc_factorization': [[5, 9], [641, 1], [1579, 1], [3400609, 1], [28752102458791, 1]], 'field_poly': [-41, 80, 583, -605, -2567, 1498, 5262, -1595, -5661, 820, 3413, -207, -1184, 24, 233, -1, -24, 0, 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, [-41, -80, 583, 605, -2567, -1498, 5262, 1595, -5661, -820, 3413, 207, -1184, -24, 233, 1, -24, 0, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953603107, 'hecke_ring_generator_nbound': 3, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '9251.2.a.t', 'level': 9251, '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': [11, 29], 'level_radical': 319, 'minimal_twist': '9251.2.a.s', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{12}q^{3}+(1+\\beta _{2})q^{4}-\\beta _{8}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9251.2.a', 'trace_display': 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-0.2965783363401901, -0.2367790809116773, -0.29173629631250225, -0.37707330808966283, -0.3169436931762867, -0.31382443686389766, -0.324475245166387, -0.29233308802487235, -0.27396994293690585, -0.4251095456082447, -0.2131012265188618, -0.39701580433787936, -0.23096740148368913, -0.2378608322971967, -0.329931384085825], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.3861787786662474, 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953603107, 'label': '9251.2.a.t.1.5', 'level': 9251, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [157, 180, 187, 152], 'Nk2': 37004, 'analytic_conductor': 73.86960690988649, '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': [9251, 1, [7570, 1684], [1, 1]], 'conrey_index': 1, 'cusp_dim': 841, 'dim': 676, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33563683, 'hecke_orbit_dims': [1, 1, 1, 1, 3, 4, 4, 4, 4, 4, 6, 6, 7, 8, 9, 9, 12, 12, 18, 18, 26, 26, 39, 39, 39, 39, 40, 40, 56, 56, 72, 72], 'label': '9251.2.a', 'level': 9251, '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': [11, 29], 'level_radical': 319, 'mf_dim': 900, 'mf_new_dim': 676, 'num_forms': 32, 'plus_dim': 309, 'prim_orbit_index': 1, 'relative_dim': 676, 'sturm_bound': 1740, 'trace_bound': 3, 'trace_display': [-1, 3, -5, 6], 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mf_twists_cc • Show schema
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id: 48285299
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 85568392953603107, 'source_is_minimal': True, 'source_label': '9251.2.a.t.1.5', 'source_level': 9251, 'target_conrey_index': 1, 'target_dim': 18, 'target_embedding_index': 5, 'target_hecke_orbit_code': 85568392953603107, 'target_is_minimal': True, 'target_label': '9251.2.a.t.1.5', 'target_level': 9251, 'twist_class_label': '9251.2.a.s.1.14', 'twist_class_level': 9251, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48285300
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 18, 'source_embedding_index': 5, 'source_hecke_orbit_code': 85568392953603107, 'source_is_minimal': True, 'source_label': '9251.2.a.t.1.5', 'source_level': 9251, 'target_conrey_index': 1, 'target_dim': 18, 'target_embedding_index': 14, 'target_hecke_orbit_code': 81064793326232611, 'target_is_minimal': True, 'target_label': '9251.2.a.s.1.14', 'target_level': 9251, 'twist_class_label': '9251.2.a.s.1.14', 'twist_class_level': 9251, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4978350
{'charpoly_factorization': [[[-41, -80, 583, 605, -2567, -1498, 5262, 1595, -5661, -820, 3413, 207, -1184, -24, 233, 1, -24, 0, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 2}
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id: 4978351
{'charpoly_factorization': [[[751, -25, -9960, 12914, 17890, -33207, -10520, 34548, -316, -18735, 2947, 5705, -1353, -974, 277, 86, -27, -3, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 3}
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id: 4978352
{'charpoly_factorization': [[[-12889, -93935, -127097, 146229, 344906, -15991, -321625, -87529, 139844, 64121, -29065, -19416, 2266, 2918, 103, -213, -25, 6, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 5}
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id: 4978353
{'charpoly_factorization': [[[9, -177, -3010, 20183, -28608, -30721, 81951, 1504, -75081, 16157, 31368, -9063, -6516, 1916, 686, -164, -39, 5, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 7}
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id: 4978354
{'charpoly_factorization': [[[1, 1], 18]], 'hecke_orbit_code': 85568392953603107, 'p': 11}
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id: 4978355
{'charpoly_factorization': [[[69299381, 16181448, -143557082, -37531525, 108484943, 27771040, -41224977, -10345363, 8806505, 2231673, -1085076, -289775, 73474, 22141, -2218, -905, -1, 15, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 13}
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id: 4978356
{'charpoly_factorization': [[[92820691, 4343532917, -2920434249, -5343539800, 1004263029, 2119267189, -5099596, -377697011, -29356227, 35767437, 4242341, -1920230, -271738, 58336, 9033, -929, -151, 6, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 17}
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id: 4978357
{'charpoly_factorization': [[[6024731, -23942718, -48961743, 342080566, -449413618, -9346413, 298226239, -83591648, -63815438, 23318195, 5374193, -2120163, -250477, 86172, 7722, -1613, -140, 11, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 19}
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id: 4978358
{'charpoly_factorization': [[[-28949, 17788999, -42552238, -23855722, 93774028, 3977990, -73011120, 3221928, 24771614, -2314, -4019159, -301249, 284421, 38102, -7852, -1555, 34, 20, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 23}
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id: 4978359
{'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 85568392953603107, 'p': 29}
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id: 4978360
{'charpoly_factorization': [[[-85604329, 102538431, 999743667, -2940623938, 2842659125, -569142794, -736759482, 408783521, 19600953, -52942577, 4958753, 3042436, -432787, -90646, 13964, 1375, -194, -8, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 31}
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id: 4978361
{'charpoly_factorization': [[[387689501, -3364615971, 5218058628, 4900978518, -12764629050, 3111035268, 3443233144, -1112720182, -387913298, 125027350, 23551697, -6386231, -870829, 162482, 19193, -1977, -222, 9, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 37}
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id: 4978362
{'charpoly_factorization': [[[1941260547469, -7736227645871, 4471186850423, 1893019804378, -1486465492318, -176404222901, 180188012880, 6833823144, -10875361147, -49025668, 361119991, -3402727, -6882201, 92768, 74735, -892, -428, 3, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 41}
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id: 4978363
{'charpoly_factorization': [[[3010454558269, -4394052088838, -32259334212, 2396224088165, -741760913954, -337940894983, 170285455917, 9719158070, -13448516163, 760697250, 421476138, -36991209, -7033054, 619569, 70013, -4632, -401, 13, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 43}
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id: 4978364
{'charpoly_factorization': [[[-283521121929, 366180949266, 160988654884, -320204653891, -13017246640, 94042736353, 2196385846, -13557749810, -1146332740, 905981090, 136697813, -20722926, -4356502, 185211, 60258, -462, -392, -1, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 47}
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id: 4978365
{'charpoly_factorization': [[[417717947869, -36564291771, -1261249877725, 1001978224235, 208892905154, -395290049487, 51304293294, 44966437150, -11552648412, -1152409645, 507929707, 4612809, -9740960, 152316, 96035, -1843, -484, 6, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 53}
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id: 4978366
{'charpoly_factorization': [[[-42783423002279, -72332165464525, -29631083052799, 9692156512341, 8682801058009, 662887116821, -648551778362, -119157846902, 19219442495, 5631138577, -177911625, -123951208, -2241951, 1382384, 58109, -7546, -415, 16, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 59}
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id: 4978367
{'charpoly_factorization': [[[400792043525, -12791922763500, -17883985811555, 19254403532095, 6543219288736, -6720730687648, 582278057853, 361396338737, -53351418186, -8258656343, 1535648085, 96906694, -21750664, -601702, 164831, 1824, -640, -2, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 61}
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id: 4978368
{'charpoly_factorization': [[[-3169091606701, -30261153517374, -48645924649914, -21202865626326, 2662766641774, 3713901421665, 446140417112, -185591879472, -42011519428, 2786555989, 1223221947, 1987451, -17345324, -397680, 134539, 3400, -561, -9, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 67}
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id: 4978369
{'charpoly_factorization': [[[-22353783304829, -19606057634620, 13654736110300, 10336646765759, -4572813772961, -1654715437809, 820100760335, 32421288640, -45397168917, 1589097812, 1166503030, -69172329, -16229345, 995203, 129551, -6129, -566, 13, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 71}
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id: 4978370
{'charpoly_factorization': [[[-13827764016331, -43647348003042, -10282533886460, 37954186070334, -7833137741782, -5440171107905, 2274617970882, -42250185402, -110511615799, 17040785933, 816614750, -396799244, 22485617, 2352497, -318004, 5418, 933, -57, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 73}
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id: 4978371
{'charpoly_factorization': [[[-232478032081, -616252553939, 156980963812, 1433895261035, 897339329222, -193777274470, -219299446164, -6856220991, 17025528149, 1680905013, -559176992, -75478925, 7656326, 1383417, -26055, -10661, -203, 27, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 79}
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id: 4978372
{'charpoly_factorization': [[[-4113127447729, -53932092675194, -178370056838919, -195236687142466, -60516878858135, 8789079751366, 6236277111113, 122619139133, -227411635047, -12151041924, 4220499204, 237459935, -44538983, -1997256, 267661, 7427, -826, -10, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 83}
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id: 4978373
{'charpoly_factorization': [[[1305134003234331, -464403269595774, -948913888955392, 317708131309131, 190582346072525, -74612215764758, -7305156410114, 6264297012263, -734455041295, -65557125074, 21688496167, -1409032124, -78576433, 16057862, -739912, -10062, 2207, -80, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 89}
-
id: 4978374
{'charpoly_factorization': [[[41898520519983289, 22482684196831171, -14260727762521011, -5129118106235153, 1524110802314754, 385407711644293, -54297304992875, -13769833061449, 638990928332, 233853418869, -441211015, -2049016547, -43747804, 9497237, 331749, -22008, -962, 20, 1], 1]], 'hecke_orbit_code': 85568392953603107, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '9251.2.a.t', 'level': 9251, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64017259
{'hecke_orbit_code': 85568392953603107, 'n': 1, 'trace_an': 18}
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id: 64017260
{'hecke_orbit_code': 85568392953603107, 'n': 2, 'trace_an': 0}
-
id: 64017261
{'hecke_orbit_code': 85568392953603107, 'n': 3, 'trace_an': 3}
-
id: 64017262
{'hecke_orbit_code': 85568392953603107, 'n': 4, 'trace_an': 12}
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id: 64017263
{'hecke_orbit_code': 85568392953603107, 'n': 5, 'trace_an': -6}
-
id: 64017264
{'hecke_orbit_code': 85568392953603107, 'n': 6, 'trace_an': -1}
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id: 64017265
{'hecke_orbit_code': 85568392953603107, 'n': 7, 'trace_an': -5}
-
id: 64017266
{'hecke_orbit_code': 85568392953603107, 'n': 8, 'trace_an': -3}
-
id: 64017267
{'hecke_orbit_code': 85568392953603107, 'n': 9, 'trace_an': 9}
-
id: 64017268
{'hecke_orbit_code': 85568392953603107, 'n': 10, 'trace_an': 5}
-
id: 64017269
{'hecke_orbit_code': 85568392953603107, 'n': 11, 'trace_an': -18}
-
id: 64017270
{'hecke_orbit_code': 85568392953603107, 'n': 12, 'trace_an': 3}
-
id: 64017271
{'hecke_orbit_code': 85568392953603107, 'n': 13, 'trace_an': -15}
-
id: 64017272
{'hecke_orbit_code': 85568392953603107, 'n': 14, 'trace_an': -12}
-
id: 64017273
{'hecke_orbit_code': 85568392953603107, 'n': 15, 'trace_an': 27}
-
id: 64017274
{'hecke_orbit_code': 85568392953603107, 'n': 16, 'trace_an': 4}
-
id: 64017275
{'hecke_orbit_code': 85568392953603107, 'n': 17, 'trace_an': -6}
-
id: 64017276
{'hecke_orbit_code': 85568392953603107, 'n': 18, 'trace_an': 12}
-
id: 64017277
{'hecke_orbit_code': 85568392953603107, 'n': 19, 'trace_an': -11}
-
id: 64017278
{'hecke_orbit_code': 85568392953603107, 'n': 20, 'trace_an': -18}
-
id: 64017279
{'hecke_orbit_code': 85568392953603107, 'n': 21, 'trace_an': -6}
-
id: 64017280
{'hecke_orbit_code': 85568392953603107, 'n': 22, 'trace_an': 0}
-
id: 64017281
{'hecke_orbit_code': 85568392953603107, 'n': 23, 'trace_an': -20}
-
id: 64017282
{'hecke_orbit_code': 85568392953603107, 'n': 24, 'trace_an': -3}
-
id: 64017283
{'hecke_orbit_code': 85568392953603107, 'n': 25, 'trace_an': -4}
-
id: 64017284
{'hecke_orbit_code': 85568392953603107, 'n': 26, 'trace_an': 10}
-
id: 64017285
{'hecke_orbit_code': 85568392953603107, 'n': 27, 'trace_an': -6}
-
id: 64017286
{'hecke_orbit_code': 85568392953603107, 'n': 28, 'trace_an': -6}
-
id: 64017287
{'hecke_orbit_code': 85568392953603107, 'n': 29, 'trace_an': 0}
-
id: 64017288
{'hecke_orbit_code': 85568392953603107, 'n': 30, 'trace_an': -19}
-
id: 64017289
{'hecke_orbit_code': 85568392953603107, 'n': 31, 'trace_an': 8}
-
id: 64017290
{'hecke_orbit_code': 85568392953603107, 'n': 32, 'trace_an': 24}
-
id: 64017291
{'hecke_orbit_code': 85568392953603107, 'n': 33, 'trace_an': -3}
-
id: 64017292
{'hecke_orbit_code': 85568392953603107, 'n': 34, 'trace_an': -22}
-
id: 64017293
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