# Stored data for newform 2450.4.a.da, downloaded from the LMFDB on 29 September 2025.
{"Nk2": 39200, "analytic_conductor": 144.5546795140645, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [7, 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": [2450, 1, [1177, 101], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 9148483522104672256, "field_disc_factorization": [[2, 14], [7, 2], [3375721, 2]], "field_poly": [676, 0, -4646, 0, 4997, 0, -146, 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": 1, "hecke_cutters": [[3, [4900, 0, -18662, 0, 5573, 0, -146, 0, 1]], [11, [-636127, 118654, -4150, -18, 1]], [19, [76252888644100, 0, -999855668868, 0, 420361613, 0, -39264, 0, 1]], [23, [-47065480, 2970884, -36231, -82, 1]]], "hecke_orbit": 79, "hecke_orbit_code": 351280771002010002, "hecke_ring_generator_nbound": 17, "hecke_ring_index": 11858, "hecke_ring_index_factorization": [[2, 1], [7, 2], [11, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], "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": "2450.4.a.da", "level": 2450, "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": [2, 5, 7], "level_radical": 70, "minimal_twist": "2450.4.a.cz", "prim_orbit_index": 1, "qexp_display": "q+2q^{2}-\\beta _{3}q^{3}+4q^{4}-2\\beta _{3}q^{6}+8q^{8}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2450.4.a", "trace_display": [16, 0, 0, 0], "trace_hash": 1264793713657346897, "trace_moments": [{"__RealLiteral__": 0, "data": "0.120", "prec": 17}, {"__RealLiteral__": 0, "data": "7.182", "prec": 17}, {"__RealLiteral__": 0, "data": "2.737", "prec": 17}, {"__RealLiteral__": 0, "data": "282.908", "prec": 24}, {"__RealLiteral__": 0, "data": "25.324", "prec": 20}, {"__RealLiteral__": 0, "data": "17370.459", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.506", "prec": 17}, "traces": [0, 8, 16, 0, 32, 0, 0, 0, 64, 76, 0, 36, 0, 0, 0, 0, 128, 0, 152, 0, 0, 0, 72, 164, 0, 0, 0, 0, 0, 392, 0, 0, 256, 0, 0, 0, 304, 32, 0, 832, 0, 0, 0, 752, 144, 0, 328, 0, 0, 0, 0, 2348, 0, 700, 0, 0, 0, -696, 784, 0, 0, 0, 0, 0, 512, 0, 0, 1552, 0, 0, 0, 2648, 608, 0, 64, 0, 0, 0, 1664, -1916, 0, 2520, 0, 0, 0, 0, 1504, 0, 288, 0, 0, 0, 656, 536, 0, 0, 0, 0, 0, 2892, 0, 0, 4696, 0, 0, 0, 1400, 5660, 0, 3212, 0, 0, 0, -864, -1392, 0, 1568, 0, 0, 0, 0, 6600, 0, -5572, 0, 0, 0, 2184, 1024, 0, 0, 0, 0, 0, 3104, 0, 0, 11800, 0, 0, 0, 7060, 5296, 0, 1216, 0, 0, 0, 128, -6656, 0, 12024, 0, 0, 0, 0, 3328, 0, -3832, 0, 0, 0, 5040, -3940, 0, 0, 0, 0, 0, 7620, 0, 0, 3008, 0, 0, 0, 576, 16884, 0, 10640, 0, 0, 0, -17508, 1312, 0, 1072, 0, 0, 0, 0, 13932, 0, -6080, 0, 0, 0, 17748, 5784, 0, 0, 0, 0, 0, 9392, 0, 0, 25504, 0, 0, 0, 7604, 2800, 0, 11320, 0, 0, 0, 6424, -12832, 0, 17568, 0, 0, 0, 0, -1728, 0, -2784, 0, 0, 0, 3136, 3236, 0, 0, 0, 0, 0, 8196, 0, 0, 13200, 0, 0, 0, -11144, 16004, 0, 32816, 0, 0, 0, -26260, 4368, 0, 2048, 0, 0, 0, 0, 1692, 0, -13224, 0, 0, 0, 24676, 6208, 0, 0, 0, 0, 0, 23600, 0, 0, 36912, 0, 0, 0, 1696, 14120, 0, 10592, 0, 0, 0, 2432, 12704, 0, 25780, 0, 0, 0, 0, 256, 0, -13312, 0, 0, 0, 24048, -24052, 0, 0, 0, 0, 0, 12140, 0, 0, 6656, 0, 0, 0, -7664, 15252, 0, 49520, 0, 0, 0, -38816, 10080, 0, -7880, 0, 0, 0, 0, 3020, 0, -45556, 0, 0, 0, 3368, 15240, 0, 0, 0, 0, 0, 6016, 0, 0, 22940, 0, 0, 0, 24168, 1152, 0, 33768, 0, 0, 0, 21280, -5888, 0, 23656, 0, 0, 0, 0, -35016, 0, 2624, 0, 0, 0, 2144, -36464, 0, 0, 0, 0, 0, 19368, 0, 0, 27864, 0, 0, 0, -12160, -24452, 0, 51192, 0, 0, 0, -78868, 35496, 0, 11568, 0, 0, 0, 0, -8196, 0, -87652, 0, 0, 0, 4480, 18784, 0, 0, 0, 0, 0, 51008, 0, 0, 9252, 0, 0, 0, 54872, 15208, 0, 5600, 0, 0, 0, 22640, 15848, 0, -1156, 0, 0, 0, 0, 12848, 0, -25664, 0, 0, 0, 35136, -30056, 0, 0, 0, 0, 0, 9580, 0, 0, -3456, 0, 0, 0, -5568, -39848, 0, 70512, 0, 0, 0, -70688, 6272, 0, 6472, 0, 0, 0, 0, 1684, 0, -19448, 0, 0, 0, -20364, 16392, 0, 0, 0, 0, 0, 26400, 0, 0, -33532, 0, 0, 0, 51384, -22288, 0, 32008, 0, 0, 0, 65632, 52456, 0, 21256, 0, 0, 0, 0, -52520, 0, 8736, 0, 0, 0, 4096, -43880, 0, 0, 0, 0, 0, 37076, 0, 0, 3384, 0, 0, 0, -26448, -92096, 0, 61036, 0, 0, 0, -8568, 49352, 0, 12416, 0, 0, 0, 0, 59368, 0, -62020, 0, 0, 0, -67416, 47200, 0, 0, 0, 0, 0, 73824, 0, 0, 14008, 0, 0, 0, 75168, 3392, 0, 28240, 0, 0, 0, 21184, 25928, 0, 11736, 0, 0, 0, 0, 4864, 0, 25408, 0, 0, 0, 51560, -52732, 0, 0, 0, 0, 0, 12148, 0, 0, 512, 0, 0, 0, -26624, -85252, 0, 59972, 0, 0, 0, -82076, 48096, 0, -48104, 0, 0, 0, 0, 3628, 0, -14068, 0, 0, 0, 25580, 24280, 0, 0, 0, 0, 0, 13312, 0, 0, -68092, 0, 0, 0, 43820, -15328, 0, 30504, 0, 0, 0, 99040, -54332, 0, -42396, 0, 0, 0, 0, -77632, 0, 20160, 0, 0, 0, -15760, -33896, 0, 0, 0, 0, 0, -23800, 0, 0, 6040, 0, 0, 0, -91112, -38552, 0, -63948, 0, 0, 0, -33268, 6736, 0, 30480, 0, 0, 0, 0, -12384, 0, 76048, 0, 0, 0, -85012, 12032, 0, 0, 0, 0, 0, 45880, 0, 0, 37804, 0, 0, 0, -10472, 48336, 0, 2304, 0, 0, 0, 67536, 23992, 0, -53384, 0, 0, 0, 0, 42560, 0, -11776, 0, 0, 0, 47312, -68668, 0, 0, 0, 0, 0, -171860, 0, 0, -70032, 0, 0, 0, 5248, -16612, 0, -27644, 0, 0, 0, -50068, 4288, 0, -72928, 0, 0, 0, 0, 34240, 0, -2348, 0, 0, 0, -20404, 38736, 0, 0, 0, 0, 0, 55728, 0, 0, -19740, 0, 0, 0, -13932, -24320, 0, -48904, 0, 0, 0, 102384, -106616, 0, 34512, 0, 0, 0, 0, -157736, 0, 70992, 0, 0, 0, 23136, -111024, 0, 0, 0, 0, 0, -80176, 0, 0, -16392, 0, 0, 0, -175304, 9728, 0, -162896, 0, 0, 0, -97400, 8960, 0, 37568, 0, 0, 0, 0, -18752, 0, -70388, 0, 0, 0, 7852, 102016, 0, 0, 0, 0, 0, 18504, 0, 0, -77672, 0, 0, 0, 79436, 109744, 0, 30416, 0, 0, 0, 11200, -226676, 0, -146072, 0, 0, 0, 0, 45280, 0, 31696, 0, 0, 0, -2312, -23864, 0, 0, 0, 0, 0, -186316, 0, 0, 25696, 0, 0, 0, -51328, 118060, 0, -227856, 0, 0, 0, -42216, 70272, 0, -60112, 0, 0, 0, 0, 26540, 0, 158040, 0, 0, 0, -3864, 19160, 0, 0, 0, 0, 0, -6912, 0, 0, -23520, 0, 0, 0, -151548, -11136, 0, -79696, 0, 0, 0, 141024, 61632, 0, 91164, 0, 0, 0, 0, -141376, 0, 12544, 0, 0, 0, 12944, -49760, 0, 0, 0, 0, 0, -228496, 0, 0, 3368, 0, 0, 0, -38896, 29776, 0, -293584, 0, 0, 0, 30508, -40728, 0, 32784, 0, 0, 0, 0, 264372, 0, 81780, 0, 0, 0, -192088, 52800, 0, 0, 0, 0, 0, -67064, 0, 0, 46200, 0, 0, 0, 24896, 102768, 0, -44576, 0, 0, 0, 64016, -146128, 0, 57896, 0, 0, 0, 0, 131264, 0, 104912, 0, 0, 0, 42512, 137300, 0, 0, 0, 0, 0, -168380, 0, 0, -105040, 0, 0, 0, 17472, 118176, 0, -43412, 0, 0, 0, -95512, 8192, 0, -87760, 0, 0, 0, 0, -137552, 0, 105312, 0, 0, 0, -123424, 74152, 0, 0, 0, 0, 0, 6768, 0, 0, -293380, 0, 0, 0, 172748, -52896, 0, -184192, 0, 0, 0, 122072, -204148, 0, -50964, 0, 0, 0, 0, -17136, 0, 98704, 0, 0, 0, 24832, 59484, 0, 0, 0, 0, 0, -20636, 0, 0, 118736, 0, 0, 0, -124040, -97612, 0, -452000, 0, 0, 0, 89440, -134832, 0, 94400, 0, 0, 0, 0, 129180, 0, 278444, 0, 0, 0, -32420, 147648, 0, 0, 0, 0, 0, 28016, 0, 0, 18980, 0, 0, 0, -156880, 150336, 0, 6784, 0, 0, 0, 56480, -48188, 0, -187440, 0, 0, 0, 0, 42368, 0, 51856, 0, 0, 0, 23472, 116572, 0, 0, 0, 0, 0, -358704, 0, 0, 9728, 0, 0, 0, 50816, 33380, 0, -68860, 0, 0, 0, 176780, 103120, 0, -105464, 0, 0, 0, 0, 179660, 0, 111664, 0, 0, 0, -104656, 24296, 0, 0, 0, 0, 0, 1024, 0, 0, -207472, 0, 0, 0, -77980, -53248, 0, -170504, 0, 0, 0, 119944, -82180, 0, 155520, 0, 0, 0, 0, -164152, 0, 96192, 0, 0, 0, -96208, 76320, 0, 0, 0, 0, 0, 18276, 0, 0, 7256, 0, 0, 0, -28136, 192260, 0, -162296, 0, 0, 0, 107996, 51160, 0, 48560, 0, 0, 0, 0, -95840, 0, 102196, 0, 0, 0, -224892, 26624, 0, 0, 0, 0, 0, -136184, 0, 0, 109944, 0, 0, 0, 478404, 87640, 0, -30656, 0, 0, 0, 61008, -49680, 0, -308512, 0, 0, 0, 0, 198080, 0, -108664, 0, 0, 0, -84792, 53044, 0, 0, 0, 0, 0, 65076, 0, 0, -155264, 0, 0, 0, 40320, 28132, 0, -215152, 0, 0, 0, 83308, -31520, 0, -67792, 0, 0, 0, 0, 5348, 0, 382760, 0, 0, 0, 224216, -47600, 0, 0, 0, 0, 0, 12080, 0, 0, -298280, 0, 0, 0, -347892, -182224, 0, -77104, 0, 0, 0, -127896, -10044, 0, 54028, 0, 0, 0, 0, -66536, 0, 13472, 0, 0, 0, 60960, 53472, 0, 0, 0, 0, 0, -54988, 0, 0, -24768, 0, 0, 0, 152096, -98992, 0, -171460, 0, 0, 0, 77380, -170024, 0, 24064, 0, 0, 0, 0, 1536, 0, -285608, 0, 0, 0, -359772, 91760, 0, 0, 0, 0, 0, 75608, 0, 0, 226096, 0, 0, 0, -3936, -20944, 0, 96672, 0, 0, 0, 4608, 301712, 0, 184244, 0, 0, 0, 0, 135072, 0, 47984, 0, 0, 0, -106768, -108044, 0, 0, 0, 0, 0, -164456, 0, 0, 85120, 0, 0, 0, -23552, -77136, 0, 185264, 0, 0, 0, -178208, 94624, 0, -137336, 0, 0, 0, 0, -191148, 0, -140348, 0, 0, 0, 243212, -343720, 0, 0, 0, 0, 0, -140064, 0, 0, -301872, 0, 0, 0, 178576, 10496, 0, -33224, 0, 0, 0, -55288, -86888, 0, -97864, 0, 0, 0, 0, -100136, 0, 8576, 0, 0, 0, -145856, -69380, 0, 0, 0, 0, 0, 62608, 0, 0, 68480, 0, 0, 0, -4696, -167556, 0, -96796, 0, 0, 0, 378408, -40808, 0, 77472, 0, 0, 0, 0, -154240, 0, -59196, 0, 0, 0, -174888, 111456, 0, 0, 0, 0, 0, -39480, 0, 0, -159924, 0, 0, 0, -324348, -27864, 0, -48640, 0, 0, 0, -97808, -24556, 0, -97932, 0, 0, 0, 0, 204768, 0, -213232, 0, 0, 0, 69024, 43004, 0, 0, 0, 0, 0, -11572, 0, 0, -315472, 0, 0, 0, 141984, -147944, 0, 97020, 0, 0, 0, -54080, 46272, 0, -222048, 0, 0, 0, 0, 138156, 0, 215644, 0, 0, 0, 6108, -160352, 0, 0, 0, 0, 0, -32784, 0, 0, -50776, 0, 0, 0, -180176, -350608, 0, 19456, 0, 0, 0, -325792, 355316, 0, 302976, 0, 0, 0, 0, -194800, 0, 17920, 0, 0, 0, 75136, 107888, 0, 0, 0, 0, 0, 433648, 0, 0, -37504, 0, 0, 0, -140776, -228152, 0, 414380, 0, 0, 0, -57172, 15704, 0, 204032, 0, 0, 0, 0, -268552, 0, -116708, 0, 0, 0, 372472, 37008, 0, 0, 0, 0, 0, -155344, 0, 0, 401504, 0, 0, 0, 59436, 158872, 0, 219488, 0, 0, 0, 60832, 113992, 0, -380340, 0, 0, 0, 0, 22400, 0, -453352, 0, 0, 0, -292144, -306904, 0, 0, 0, 0, 0, 272484, 0, 0, 90560, 0, 0, 0, 63392, -78736, 0, 663948, 0, 0, 0, 226620, -4624, 0, -47728, 0, 0, 0, 0, -513648, 0, 240936, 0, 0, 0, 478296, -372632, 0, 0, 0, 0, 0, 51392, 0, 0, -137552, 0, 0, 0, -483000, -102656, 0, 236120, 0, 0, 0, -455712, 242212, 0, 217064, 0, 0, 0, 0, -84432, 0, 140544, 0, 0, 0, -120224, -151936, 0, 0, 0, 0, 0, 308404, 0, 0, 53080, 0, 0, 0, 316080, -115832, 0, -50328, 0, 0, 0, 131952, -7728, 0, 38320, 0, 0, 0, 0, 244536, 0, -689920, 0, 0, 0, -38032, -13824, 0, 0, 0, 0, 0, -47040, 0, 0, 469340, 0, 0, 0, -397008, -303096, 0, -22272, 0, 0, 0, -159392, 30460, 0, -279680, 0, 0, 0, 0, 282048, 0, 123264, 0, 0, 0, 182328, 236776, 0, 0, 0, 0, 0, 1932, 0, 0, -282752, 0, 0, 0, 25088, 372084, 0, 1018704, 0, 0, 0, -281432, 25888, 0, -99520, 0, 0, 0, 0, -471284, 0, -436688, 0, 0, 0, 502612, -456992, 0, 0, 0, 0, 0, 6736, 0, 0, -484016, 0, 0, 0, 231040, -77792, 0, 59552, 0, 0, 0, -587168, 508964, 0, 49588, 0, 0, 0, 0, 61016, 0, -81456, 0, 0, 0, 65568, 51312, 0, 0, 0, 0, 0, 559076, 0, 0, 528744, 0, 0, 0, 163560, -307948, 0, 118940, 0, 0, 0, 158012, -384176, 0, 105600, 0, 0, 0, 0, -393316, 0, -123712, 0, 0, 0, 272212, -134128, 0, 0, 0, 0, 0, 92400, 0, 0, 793424, 0, 0, 0, 81988, 49792, 0, 205536, 0, 0, 0, -89152, 222876, 0, -168816, 0, 0, 0, 0, 128032, 0, -292256, 0, 0, 0, 115792, -591332, 0, 0, 0, 0, 0, 784552, 0, 0, 262528, 0, 0, 0, 209824, 360800, 0, 502700, 0, 0, 0, 96128, 85024, 0, 274600, 0, 0, 0, 0, 111472, 0, -182228, 0, 0, 0, -72236, -336760, 0, 0, 0, 0, 0, -210080, 0, 0, -276152, 0, 0, 0, -848196, 34944, 0, 236352, 0, 0, 0, -86824, 244612, 0, 360264, 0, 0, 0, 0, -191024, 0, 16384, 0, 0, 0, -175520, 817760, 0, 0, 0, 0, 0, 951548, 0, 0, -275104, 0, 0, 0, 210624, 71928, 0, 410532, 0, 0, 0, -401600, -246848, 0, 148304, 0, 0, 0, 0, -434736, 0, -89512, 0, 0, 0, 51580, 13536, 0, 0, 0, 0, 0, -586760, 0, 0, 1027032, 0, 0, 0, 1005580, 345496, 0, -105792, 0, 0, 0, -368384, 212556, 0, -135292, 0, 0, 0, 0, 244144, 0, -408296, 0, 0, 0, -101928, -33660, 0, 0, 0, 0, 0, 31884, 0, 0, -34272, 0, 0, 0, 197408, -470752, 0, 850584, 0, 0, 0, 478288, 49664, 0, 118968, 0, 0, 0, 0, 253572, 0, 42732, 0, 0, 0, 974100, -41272, 0, 0, 0, 0, 0, 237472, 0, 0, -130636, 0, 0, 0, -600948, -248080, 0, -195224, 0, 0, 0, -904000, -183756, 0, 500168, 0, 0, 0, 0, 178880, 0, -269664, 0, 0, 0, 188800, 389592, 0, 0, 0, 0, 0, 418728, 0, 0, 258360, 0, 0, 0, 556888, 335860, 0, 88752, 0, 0, 0, 822476, -64840, 0, 295296, 0, 0, 0, 0, 466636, 0, -960236, 0, 0, 0, -855108, 56032, 0, 0, 0, 0, 0, 37960, 0, 0, 401392, 0, 0, 0, 362324, -313760, 0, 300672, 0, 0, 0, 13568, 138924, 0, 191244, 0, 0, 0, 0, 112960, 0, -96376, 0, 0, 0, -374880, 831856, 0, 0, 0, 0, 0, 405080, 0, 0, 84736, 0, 0, 0, 103712, 939264, 0, 309908, 0, 0, 0, -379888, 46944, 0, 233144, 0, 0, 0, 0, -74232, 0, 145296, 0, 0, 0, 1140268, -717408, 0, 0, 0, 0, 0, 19456, 0, 0, 296192, 0, 0, 0, 940772, 101632, 0, 66760, 0, 0, 0, -137720, 55352, 0, 277224, 0, 0, 0, 0, 353560, 0, 206240, 0, 0, 0, -210928, -167276, 0, 0, 0, 0, 0, 382124, 0, 0, 359320, 0, 0, 0, 223328, 336532, 0, 70188, 0, 0, 0, 322392, -209312, 0, 48592, 0, 0, 0, 0, 398304, 0, -137252, 0, 0, 0, -290620, 2048, 0, 0, 0, 0, 0, -414944, 0, 0, 583376, 0, 0, 0, -415576, -155960, 0, -106496, 0, 0, 0, -341008, 609932, 0, 413432, 0, 0, 0, 0, 239888, 0, -164360, 0, 0, 0, 311040, 581752, 0, 0, 0, 0, 0, -36468, 0, 0, -328304, 0, 0, 0, 192384, 133160, 0, 227660, 0, 0, 0, -521576, -192416, 0, 152640, 0, 0, 0, 0, 626648, 0, -278080, 0, 0, 0, -243936, 36552, 0, 0, 0, 0, 0, 14512, 0, 0, 207248, 0, 0, 0, -63788, -56272, 0, 384520, 0, 0, 0, -324592, 502832, 0, 831032, 0, 0, 0, 0, 215992, 0, 102320, 0, 0, 0, 97120, 348972, 0, 0, 0, 0, 0, 466712, 0, 0, -191680, 0, 0, 0, 204392, 385536, 0, 394860, 0, 0, 0, 835720, -449784, 0, 53248, 0, 0, 0, 0, 175412, 0, -176536, 0, 0, 0, 47548, -272368, 0, 0, 0, 0, 0, 219888, 0, 0, 1019636, 0, 0, 0, 608900, 956808, 0, 175280, 0, 0, 0, -61312, -763588, 0, -871796, 0, 0, 0, 0, 122016, 0, -99360, 0, 0, 0, -617024, 313972, 0, 0, 0, 0, 0, -217724, 0, 0, 396160, 0, 0, 0, -217328, -167728, 0, 18152, 0, 0, 0, 767964, -169584, 0, 106088, 0, 0, 0, 0, -366188, 0, 274476, 0, 0, 0, 1073148, 130152, 0, 0, 0, 0, 0, -310528, 0, 0, -806872, 0, 0, 0, -543176, 80640, 0, 56264, 0, 0, 0, -430304, -275992, 0, 978720, 0, 0, 0, 0, 166616, 0, -63040, 0, 0, 0, -135584, 225712, 0, 0, 0, 0, 0, 616420, 0, 0, 10696, 0, 0, 0, 765520, 430628, 0, -647396, 0, 0, 0, 51660, 448432, 0, -95200, 0, 0, 0, 0, 264088, 0, 531076, 0, 0, 0, -244668, 24160, 0, 0, 0, 0, 0, -596560, 0, 0, 1315280, 0, 0, 0, -129284, -695784, 0, -364448, 0, 0, 0, -154208, -237888, 0, -247376, 0, 0, 0, 0, -255792, 0, -20088, 0, 0, 0, 108056, 278400, 0, 0, 0, 0, 0, 734072, 0, 0, -133072, 0, 0, 0, 26944, 1498032, 0, 779120, 0, 0, 0, -69488, 121920, 0, 106944, 0, 0, 0, 0, -227940, 0, 1189344, 0, 0, 0, 835060, -109976, 0, 0, 0, 0, 0, -49536, 0, 0, -274680, 0, 0, 0, -269256, 304192, 0, -197984, 0, 0, 0, -342920, 389836, 0, -523220, 0, 0, 0, 0, 154760, 0, -340048, 0, 0, 0, 48128, 158940, 0, 0, 0, 0, 0, -142284, 0, 0, 3072, 0, 0, 0, -571216, -178156, 0, -1391600, 0, 0, 0, 638748, -719544, 0, 183520, 0, 0, 0, 0, -317000, 0, -913080, 0, 0, 0, -37608, 151216, 0, 0, 0, 0, 0, 452192, 0, 0, 745452, 0, 0, 0, -565136, -7872, 0, -41888, 0, 0, 0, 193344, -881296, 0, -1156756, 0, 0, 0, 0, 9216, 0, 603424, 0, 0, 0, 368488, -989536, 0, 0, 0, 0, 0, -1510684, 0, 0, 270144, 0, 0, 0, 95968, 161800, 0, 203864, 0, 0, 0, -300144, -213536, 0, -216088, 0, 0, 0, 0, 580504, 0, 409096, 0, 0, 0, -285996, -328912, 0, 0, 0, 0, 0, 170240, 0, 0, -786324, 0, 0, 0, -1369100, -47104, 0, -154272, 0, 0, 0, 370528, 84672, 0, 911528, 0, 0, 0, 0, -356416, 0, 189248, 0, 0, 0, -274672, 754624, 0, 0, 0, 0, 0, -468592, 0, 0, -382296, 0, 0, 0, -280696, -192204, 0, -869292, 0, 0, 0, -574264, 486424, 0, -687440, 0, 0, 0, 0, -726456, 0, -9448, 0, 0, 0, -190680, -280128, 0, 0, 0, 0, 0, -603744, 0, 0, 611128, 0, 0, 0, 1727952, 357152, 0, 20992, 0, 0, 0, -66448, -754280, 0, 48884, 0, 0, 0, 0, -110576, 0, -173776, 0, 0, 0, -195728, -617296, 0, 0, 0, 0, 0, -536836, 0, 0, -200272, 0, 0, 0, 17152, 212364, 0, -130844, 0, 0, 0, 968076, -291712, 0, -138760, 0, 0, 0, 0, -916252, 0, 288712, 0, 0, 0, 387060, 125216, 0, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0], [10, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -4, 0, 0, 0, 0], [0, 0, 0, -3, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [16, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -8, 0, 1, -1, 1], [20, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, -1, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [10, 0, 0, 0, -2, 0, 0, 0], [21, 3, -1, 0, 2, 0, 0, 0], [0, 0, 0, -8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -6, 0, 0, 2, 2], [0, 0, 0, -16, 0, 3, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [50, -1, -2, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, 0, 6, -1, -5], [32, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -13, 0, 1, -2, 1], [0, 0, 0, -16, 0, 2, -2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [40, 4, 0, 0, 0, 0, 0, 0], [2, -5, 0, 0, -1, 0, 0, 0], [0, 0, 0, 4, 0, -2, 6, 0], [106, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 23, 0, -16, -4, 2], [0, 0, 0, 0, 0, 0, 0, 0], [92, -3, 4, 0, 1, 0, 0, 0], [20, 0, 0, 0, -4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [42, 6, -2, 0, 4, 0, 0, 0], [0, 0, 0, -22, 0, -18, 6, -3], [0, 0, 0, -16, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [300, 11, 5, 0, -2, 0, 0, 0], [0, 0, 0, -12, 0, 0, 4, 4], [85, -2, 1, 0, 3, 0, 0, 0], [0, 0, 0, -32, 0, 6, -2, 2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-91, -5, -2, 0, 3, 0, 0, 0], [100, -2, -4, 0, -6, 0, 0, 0], [0, 0, 0, -51, 0, -31, -5, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 57, 0, 20, -5, -2], [0, 0, 0, -6, 0, 12, -2, -10], [0, 0, 0, 0, 0, 0, 0, 0], [64, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -26, 0, 2, -4, 2], [189, -10, 4, 0, 0, 0, 0, 0], [0, 0, 0, -32, 0, 4, -4, 4], [0, 0, 0, -111, 0, 42, 1, -6], [0, 0, 0, 0, 0, 0, 0, 0], [328, -9, -12, 0, -3, 0, 0, 0], [80, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 43, 0, 21, -18, -9], [4, -10, 0, 0, -2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, -4, 12, 0], [0, 0, 0, 0, 0, 0, 0, 0], [212, 8, 8, 0, 0, 0, 0, 0], [-245, -1, -9, 0, 10, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [312, -8, 3, 0, -2, 0, 0, 0], [0, 0, 0, 46, 0, -32, -8, 4], [0, 0, 0, -103, 0, -46, -4, -5], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [184, -6, 8, 0, 2, 0, 0, 0], [0, 0, 0, -55, 0, 70, -5, -12], [40, 0, 0, 0, -8, 0, 0, 0], [0, 0, 0, -85, 0, 15, -12, 2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [84, 12, -4, 0, 8, 0, 0, 0], [62, -6, -30, 0, 4, 0, 0, 0], [0, 0, 0, -44, 0, -36, 12, -6], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -32, 0, 0, 0, 0], [0, 0, 0, -91, 0, 1, 17, 18], [0, 0, 0, 0, 0, 0, 0, 0], [358, 17, 6, 0, 24, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]}