# Stored data for newform 2254.4.a.n, downloaded from the LMFDB on 21 June 2025.
{"Nk2": 36064, "analytic_conductor": 132.99030515293936, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, -1], [23, -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": [2254, 1, [1473, 1569], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 3059644665856, "field_disc_factorization": [[2, 12], [151, 2], [181, 2]], "field_poly": [-100, 0, 203, 0, -38, 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, 928, 0, -55, 0, 1]]], "hecke_orbit": 14, "hecke_orbit_code": 58546795222927566, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "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": "2254.4.a.n", "level": 2254, "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, 7, 23], "level_radical": 322, "minimal_twist": "2254.4.a.n", "prim_orbit_index": 1, "qexp_display": "q+2q^{2}+\\beta _{5}q^{3}+4q^{4}-\\beta _{3}q^{5}+2\\beta _{5}q^{6}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2254.4.a", "trace_display": [12, 0, 0, 0], "trace_hash": 917845835896722727, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.027", "prec": 17}, {"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "210.040", "prec": 24}, {"__RealLiteral__": 0, "data": "162.535", "prec": 24}, {"__RealLiteral__": 0, "data": "11194.832", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.506", "prec": 17}, "traces": [0, 6, 12, 0, 24, 0, 0, 0, 48, -52, 0, -84, 0, 0, 0, 52, 96, 0, -104, 0, 0, 0, -168, 138, 0, -286, 0, 0, 0, -22, 104, 0, 192, 0, 0, 0, -208, -180, 0, -414, 0, 0, 0, -600, -336, 0, 276, 0, 0, 0, -572, 464, 0, -876, 0, 0, 0, -1452, -44, 0, 208, 0, 0, 0, 384, -1532, 0, -92, 0, 0, 0, -1434, -416, 0, -360, 0, 0, 0, -828, -2820, 0, -2198, 0, 0, 0, -184, -1200, 0, -672, 0, 0, 0, 552, -2742, 0, -2888, 0, 0, 0, 600, -1144, 0, 928, 0, 0, 0, -1752, -1004, 0, -3912, 0, 0, 0, 480, -2904, 0, -88, 0, 0, 0, 416, -3130, 0, -2846, 0, 0, 0, -6290, 768, 0, -3064, 0, 0, 0, -184, -3012, 0, -7472, 0, 0, 0, -498, -2868, 0, -832, 0, 0, 0, -720, 1364, 0, -7910, 0, 0, 0, 3116, -1656, 0, -5640, 0, 0, 0, -4396, 1186, 0, -3896, 0, 0, 0, 1704, -368, 0, -2400, 0, 0, 0, -1344, -1340, 0, -9290, 0, 0, 0, 4284, 1104, 0, -5484, 0, 0, 0, -5776, 5460, 0, -12966, 0, 0, 0, 802, 1200, 0, -2288, 0, 0, 0, 1856, 10084, 0, -1196, 0, 0, 0, -5640, -3504, 0, -2008, 0, 0, 0, -7824, 5274, 0, -19048, 0, 0, 0, 2220, 960, 0, -5808, 0, 0, 0, -176, 10470, 0, -12476, 0, 0, 0, -2982, 832, 0, -6260, 0, 0, 0, -5692, 14476, 0, -14064, 0, 0, 0, -1932, -12580, 0, 1536, 0, 0, 0, -6128, 8480, 0, -19716, 0, 0, 0, -2904, -368, 0, -6024, 0, 0, 0, -14944, -6780, 0, -16114, 0, 0, 0, -5128, -996, 0, -5736, 0, 0, 0, -1664, 9906, 0, -22096, 0, 0, 0, -21712, -1440, 0, 2728, 0, 0, 0, -15820, 22688, 0, -31792, 0, 0, 0, -2688, 6232, 0, -3312, 0, 0, 0, -11280, 940, 0, -10252, 0, 0, 0, -8736, -8792, 0, 2372, 0, 0, 0, -7792, 21934, 0, -9240, 0, 0, 0, 3320, 3408, 0, -736, 0, 0, 0, -4800, 1196, 0, -26104, 0, 0, 0, 12906, -2688, 0, -2680, 0, 0, 0, -18580, 9732, 0, -10378, 0, 0, 0, 30404, 8568, 0, 2208, 0, 0, 0, -10968, 25084, 0, 2840, 0, 0, 0, -27872, -11552, 0, 10920, 0, 0, 0, -25932, -1744, 0, -34472, 0, 0, 0, -15334, 1604, 0, 2400, 0, 0, 0, -4576, 21524, 0, -12362, 0, 0, 0, -14952, 3712, 0, 20168, 0, 0, 0, -2392, 21792, 0, 7786, 0, 0, 0, -12880, -11280, 0, -7008, 0, 0, 0, -4016, 31940, 0, -5784, 0, 0, 0, -22788, -15648, 0, 10548, 0, 0, 0, -38096, 2430, 0, 19352, 0, 0, 0, -6444, 4440, 0, 1920, 0, 0, 0, -11616, 34448, 0, -4728, 0, 0, 0, -31232, -352, 0, 20940, 0, 0, 0, -24952, 48416, 0, -10608, 0, 0, 0, 17112, -5964, 0, 1664, 0, 0, 0, -12520, -3320, 0, -36926, 0, 0, 0, -694, -11384, 0, 28952, 0, 0, 0, -28128, 69746, 0, 20340, 0, 0, 0, -7584, -3864, 0, -25160, 0, 0, 0, 3072, 52948, 0, -22976, 0, 0, 0, 33488, -12256, 0, 16960, 0, 0, 0, -39432, 2912, 0, 3174, 0, 0, 0, -26362, -5808, 0, -736, 0, 0, 0, -12048, 12310, 0, -32596, 0, 0, 0, -36450, -29888, 0, -13560, 0, 0, 0, -32228, 59112, 0, 47152, 0, 0, 0, -36608, -10256, 0, -1992, 0, 0, 0, -11472, 28956, 0, -1224, 0, 0, 0, -6578, -3328, 0, 19812, 0, 0, 0, -44192, 66536, 0, 19072, 0, 0, 0, 11772, -43424, 0, -2880, 0, 0, 0, 5456, -22124, 0, 11472, 0, 0, 0, -4232, -31640, 0, 45376, 0, 0, 0, -63584, 6674, 0, -51464, 0, 0, 0, 22372, -5376, 0, 12464, 0, 0, 0, -6624, -11498, 0, 41640, 0, 0, 0, 37656, -22560, 0, 1880, 0, 0, 0, -20504, 3760, 0, 32424, 0, 0, 0, 41584, -17472, 0, -17584, 0, 0, 0, 4744, -3062, 0, 23756, 0, 0, 0, 11304, -15584, 0, 43868, 0, 0, 0, -18480, -506, 0, -20076, 0, 0, 0, 18086, 6640, 0, 6816, 0, 0, 0, -1472, 31928, 0, -22150, 0, 0, 0, 95816, -9600, 0, 2392, 0, 0, 0, -52208, 63676, 0, -17864, 0, 0, 0, 6688, 25812, 0, -5376, 0, 0, 0, -5360, 39448, 0, 1192, 0, 0, 0, 91720, -37160, 0, 19464, 0, 0, 0, -20756, 33428, 0, 16150, 0, 0, 0, 103322, 60808, 0, 17136, 0, 0, 0, 4416, -109208, 0, -87382, 0, 0, 0, 77520, -21936, 0, 50168, 0, 0, 0, 5680, -1304, 0, 90968, 0, 0, 0, 105996, -55744, 0, -23104, 0, 0, 0, 21840, -8184, 0, 62196, 0, 0, 0, 103422, -51864, 0, -3488, 0, 0, 0, -68944, -20276, 0, 77964, 0, 0, 0, 32424, -30668, 0, 3208, 0, 0, 0, 4800, 77452, 0, -99944, 0, 0, 0, 73984, -9152, 0, 43048, 0, 0, 0, -24724, -60926, 0, -13716, 0, 0, 0, 151132, -29904, 0, 7424, 0, 0, 0, 40336, -5652, 0, -18042, 0, 0, 0, 122184, -4784, 0, 43584, 0, 0, 0, 15572, 50912, 0, 81274, 0, 0, 0, 82100, -25760, 0, -22560, 0, 0, 0, -14016, -24372, 0, -4140, 0, 0, 0, 39440, -8032, 0, 63880, 0, 0, 0, -11568, -74334, 0, 1168, 0, 0, 0, 161240, -45576, 0, -31296, 0, 0, 0, 21096, -58948, 0, -5528, 0, 0, 0, -25416, -76192, 0, 4860, 0, 0, 0, 38704, 39572, 0, 59796, 0, 0, 0, -9522, -12888, 0, 8880, 0, 0, 0, 3840, -105104, 0, -43028, 0, 0, 0, 44140, -23232, 0, 68896, 0, 0, 0, -9456, -2176, 0, 115036, 0, 0, 0, 82596, -62464, 0, -704, 0, 0, 0, 41880, -48534, 0, -62480, 0, 0, 0, -47344, -49904, 0, 96832, 0, 0, 0, -21216, -153662, 0, 4126, 0, 0, 0, 80940, 34224, 0, -11928, 0, 0, 0, 3328, -56828, 0, 49712, 0, 0, 0, 31514, -25040, 0, -6640, 0, 0, 0, -73852, -54978, 0, 179516, 0, 0, 0, 72328, -1388, 0, -22768, 0, 0, 0, 57904, -13800, 0, -39856, 0, 0, 0, 840, -56256, 0, 139492, 0, 0, 0, 40680, 27592, 0, 129816, 0, 0, 0, 125660, -15168, 0, -7728, 0, 0, 0, -50320, 52520, 0, -27228, 0, 0, 0, -5836, 6144, 0, 105896, 0, 0, 0, -45952, -128784, 0, -92784, 0, 0, 0, 67640, 66976, 0, -24512, 0, 0, 0, 33920, 136304, 0, 51918, 0, 0, 0, 3866, -78864, 0, 5824, 0, 0, 0, 6348, 8398, 0, 4586, 0, 0, 0, -35644, -52724, 0, -11616, 0, 0, 0, -1472, -234396, 0, 99512, 0, 0, 0, 28976, -24096, 0, 24620, 0, 0, 0, -65192, -92786, 0, 13740, 0, 0, 0, 66774, -72900, 0, -59776, 0, 0, 0, -27120, -1704, 0, -15572, 0, 0, 0, 60298, -64456, 0, 118224, 0, 0, 0, 94304, -40144, 0, -188636, 0, 0, 0, 121560, -73216, 0, -20512, 0, 0, 0, -3984, -55334, 0, -97270, 0, 0, 0, 40384, -22944, 0, 57912, 0, 0, 0, -2448, -8112, 0, 207816, 0, 0, 0, 204832, -13156, 0, -6656, 0, 0, 0, 39624, -89152, 0, 110568, 0, 0, 0, -80824, -88384, 0, 133072, 0, 0, 0, 38144, 61820, 0, 10672, 0, 0, 0, 55784, 23544, 0, -86848, 0, 0, 0, -5760, -53208, 0, -36324, 0, 0, 0, 50030, 10912, 0, -44248, 0, 0, 0, 22944, -11344, 0, 90260, 0, 0, 0, -147344, -8464, 0, -63280, 0, 0, 0, 90752, 16152, 0, 105400, 0, 0, 0, -20148, -127168, 0, 13348, 0, 0, 0, -102928, -151078, 0, 150480, 0, 0, 0, 78264, 44744, 0, -10752, 0, 0, 0, 24928, -221080, 0, -51072, 0, 0, 0, -133384, -13248, 0, -22996, 0, 0, 0, 83280, 30048, 0, 195232, 0, 0, 0, 12856, 75312, 0, -45120, 0, 0, 0, 3760, 68990, 0, 188022, 0, 0, 0, 44576, -41008, 0, 7520, 0, 0, 0, 64848, -198214, 0, 34172, 0, 0, 0, -19550, 83168, 0, -34944, 0, 0, 0, -35168, 50934, 0, -12716, 0, 0, 0, -100328, 9488, 0, -6124, 0, 0, 0, 47512, -33396, 0, 120832, 0, 0, 0, 181946, 22608, 0, -31168, 0, 0, 0, 87736, -140100, 0, -117430, 0, 0, 0, 30312, -36960, 0, -1012, 0, 0, 0, -40152, 391104, 0, -9816, 0, 0, 0, -3052, 36172, 0, 13280, 0, 0, 0, 13632, -41724, 0, 21776, 0, 0, 0, 45616, -2944, 0, 63856, 0, 0, 0, -44300, -112740, 0, 195114, 0, 0, 0, -130414, 191632, 0, -19200, 0, 0, 0, 4784, 80706, 0, 10770, 0, 0, 0, -182244, -104416, 0, 127352, 0, 0, 0, -35728, 2424, 0, 348892, 0, 0, 0, 78124, 13376, 0, 51624, 0, 0, 0, -10752, 1394, 0, -210496, 0, 0, 0, 104, -10720, 0, 78896, 0, 0, 0, 2384, 273616, 0, 2956, 0, 0, 0, -200186, 183440, 0, -74320, 0, 0, 0, 38928, -40648, 0, -180018, 0, 0, 0, -77484, -41512, 0, 66856, 0, 0, 0, 32300, -137128, 0, -77740, 0, 0, 0, -78070, 206644, 0, 121616, 0, 0, 0, 34272, 202072, 0, -10864, 0, 0, 0, -1572, 8832, 0, -218416, 0, 0, 0, -174764, 354056, 0, 352668, 0, 0, 0, 158520, 155040, 0, -43872, 0, 0, 0, 100336, -33564, 0, -35236, 0, 0, 0, -324486, 11360, 0, -2608, 0, 0, 0, 181936, 171808, 0, -71548, 0, 0, 0, 42840, 211992, 0, -111488, 0, 0, 0, -46208, -70524, 0, 77752, 0, 0, 0, -122942, 43680, 0, -16368, 0, 0, 0, 124392, -106080, 0, 132668, 0, 0, 0, -2116, 206844, 0, -103728, 0, 0, 0, -6976, -30722, 0, 37372, 0, 0, 0, -250564, -137888, 0, -40552, 0, 0, 0, 155928, -25432, 0, 216488, 0, 0, 0, 141680, 64848, 0, -61336, 0, 0, 0, 6416, 58784, 0, -126796, 0, 0, 0, -497556, 9600, 0, 154904, 0, 0, 0, -199888, 382032, 0, 110156, 0, 0, 0, 13328, 147968, 0, -18304, 0, 0, 0, 86096, -214472, 0, 83964, 0, 0, 0, 59728, -49448, 0, -121852, 0, 0, 0, -27432, -92074, 0, -108364, 0, 0, 0, 42120, 302264, 0, -59808, 0, 0, 0, 14848, -32982, 0, -121488, 0, 0, 0, -368280, 80672, 0, -11304, 0, 0, 0, -36084, -34892, 0, -2472, 0, 0, 0, -8300, 244368, 0, -9568, 0, 0, 0, 87168, 159796, 0, -485968, 0, 0, 0, -120792, 31144, 0, 101824, 0, 0, 0, 162548, 345932, 0, -70824, 0, 0, 0, -42032, 164200, 0, -51520, 0, 0, 0, -45120, -69784, 0, -74768, 0, 0, 0, -178208, -28032, 0, -48744, 0, 0, 0, -8280, 63014, 0, -88008, 0, 0, 0, -137540, 78880, 0, -16064, 0, 0, 0, 127760, -188576, 0, -150016, 0, 0, 0, -462628, -23136, 0, -148668, 0, 0, 0, 2336, 144398, 0, 231422, 0, 0, 0, 95176, 322480, 0, -91152, 0, 0, 0, -62592, 257388, 0, -335276, 0, 0, 0, -621376, 42192, 0, -117896, 0, 0, 0, -11056, 431168, 0, -424382, 0, 0, 0, 323980, -50832, 0, -152384, 0, 0, 0, 9720, -169368, 0, -87974, 0, 0, 0, -106504, 77408, 0, 79144, 0, 0, 0, 119592, 8568, 0, -281748, 0, 0, 0, -63548, -19044, 0, -25776, 0, 0, 0, 17760, 333676, 0, 202186, 0, 0, 0, -332186, 7680, 0, -210208, 0, 0, 0, -86056, 151732, 0, -64860, 0, 0, 0, -109548, 88280, 0, -46464, 0, 0, 0, 137792, -171300, 0, -164324, 0, 0, 0, 62528, -18912, 0, -4352, 0, 0, 0, 230072, 243808, 0, -50528, 0, 0, 0, -136338, 165192, 0, -124928, 0, 0, 0, -1408, -45128, 0, -252048, 0, 0, 0, -50554, 83760, 0, -97068, 0, 0, 0, -124960, -283792, 0, 339772, 0, 0, 0, -233476, -94688, 0, -99808, 0, 0, 0, 193664, 9940, 0, -258816, 0, 0, 0, -437084, -42432, 0, -307324, 0, 0, 0, 8252, 155024, 0, -79444, 0, 0, 0, -64844, 161880, 0, 68448, 0, 0, 0, -23856, -37052, 0, 84976, 0, 0, 0, -170112, 6656, 0, -113656, 0, 0, 0, 99424, -297390, 0, -8908, 0, 0, 0, -262126, 63028, 0, -50080, 0, 0, 0, -13280, 1650, 0, 95596, 0, 0, 0, 157224, -147704, 0, -109956, 0, 0, 0, 359032, -4232, 0, 222976, 0, 0, 0, -642072, 144656, 0, -2776, 0, 0, 0, -45536, -46740, 0, -310286, 0, 0, 0, -184364, 115808, 0, -27600, 0, 0, 0, -79712, 155724, 0, -1188, 0, 0, 0, 236032, 1680, 0, -112512, 0, 0, 0, 278984, -231556, 0, -770920, 0, 0, 0, -458642, 81360, 0, 55184, 0, 0, 0, 259632, -201528, 0, 157976, 0, 0, 0, -515654, 251320, 0, -30336, 0, 0, 0, -15456, 104334, 0, 23272, 0, 0, 0, -266924, -100640, 0, 105040, 0, 0, 0, -54456, -291844, 0, -144056, 0, 0, 0, -132508, -11672, 0, 12288, 0, 0, 0, 211792, -437188, 0, -185984, 0, 0, 0, -327218, -91904, 0, -257568, 0, 0, 0, -185568, 411788, 0, 163644, 0, 0, 0, -504732, 135280, 0, 133952, 0, 0, 0, -49024, -207112, 0, -713790, 0, 0, 0, -103780, 67840, 0, 272608, 0, 0, 0, 103836, -31792, 0, -16448, 0, 0, 0, -21016, 7732, 0, -157728, 0, 0, 0, 11648, -126072, 0, -120426, 0, 0, 0, 97224, 12696, 0, 16796, 0, 0, 0, 9172, -62028, 0, 246496, 0, 0, 0, -162726, -71288, 0, -105448, 0, 0, 0, -23232, -182840, 0, -63066, 0, 0, 0, -354816, -2944, 0, -468792, 0, 0, 0, 199024, -150896, 0, 766644, 0, 0, 0, 651028, 57952, 0, -48192, 0, 0, 0, 49240, -467632, 0, -51772, 0, 0, 0, -649132, -130384, 0, -185572, 0, 0, 0, 27480, -35236, 0, -290020, 0, 0, 0, -66424, 133548, 0, -145800, 0, 0, 0, -119552, -149440, 0, 165692, 0, 0, 0, -98792, -54240, 0, -3408, 0, 0, 0, -31144, -330348, 0, -166220, 0, 0, 0, -484712, 120596, 0, -128912, 0, 0, 0, 236448, -34130, 0, -144960, 0, 0, 0, -292320, 188608, 0, -80288, 0, 0, 0, -377272, 352984, 0, 593762, 0, 0, 0, 344528, 243120, 0, -146432, 0, 0, 0, -41024, -449696, 0, -372724, 0, 0, 0, -308280, -7968, 0, -110668, 0, 0, 0, -194540, 39934, 0, -25860, 0, 0, 0, 87524, 80768, 0, -45888, 0, 0, 0, 115824, 13800, 0, -466512, 0, 0, 0, -372022, -4896, 0, -16224, 0, 0, 0, 415632, -814380, 0, -168534, 0, 0, 0, 268032, 409664, 0, -26312, 0, 0, 0, -13312, -35628, 0, -560652, 0, 0, 0, 51260, 79248, 0, -178304, 0, 0, 0, 221136, -106608, 0, -130256, 0, 0, 0, 296422, -161648, 0, -176768, 0, 0, 0, 266144, -511812, 0, -104856, 0, 0, 0, -585096, 76288, 0, 123640, 0, 0, 0, 21344, 157352, 0, -334074, 0, 0, 0, -28388, 111568, 0, 47088, 0, 0, 0, -173696, -634112, 0, 218640, 0, 0, 0, 155800, -11520, 0, -106416, 0, 0, 0, -72648, 182224, 0, 55954, 0, 0, 0, 10516, 100060, 0, 21824, 0, 0, 0, -88496, 663040, 0, -637164, 0, 0, 0, -432880, 45888, 0, -22688, 0, 0, 0, 180520, 51872, 0, -584280, 0, 0, 0, -86860, -294688, 0, -16928, 0, 0, 0, -126560, -776298, 0, -511852, 0, 0, 0, -817192, 181504, 0, 32304, 0, 0, 0, 210800, 231152, 0, 373122, 0, 0, 0, 701516, -40296, 0, -254336, 0, 0, 0, 26696, 59564, 0, -133022, 0, 0, 0, -10512, -205856, 0, -302156, 0, 0, 0, 300960, 284988, 0, -23092, 0, 0, 0, -113680, 156528, 0, 89488, 0, 0, 0, -21504, 500406, 0, 113144, 0, 0, 0, 846792, 49856, 0, -442160, 0, 0, 0, -102144, -242152, 0, 71964, 0, 0, 0, 274624, -266768, 0, -26496, 0, 0, 0, -45992, -988116, 0, -22204, 0, 0, 0, -89976, 166560, 0, 60096, 0, 0, 0, 390464, -483032, 0, 818248, 0, 0, 0, 14460, 25712, 0, 150624, 0, 0, 0, -90240, 167240, 0, -196654, 0, 0, 0, 465984, 7520, 0, 137980, 0, 0, 0, 376044, 163546, 0, 441684, 0, 0, 0, -257496, 89152, 0, -82016, 0, 0, 0, 15040, 24246, 0, -172712, 0, 0, 0, 259308, 129696, 0, -396428, 0, 0, 0, 68344, -41066, 0, 573616, 0, 0, 0, 374546, -39100, 0, 166336, 0, 0, 0, -69888, 342312, 0, 113756, 0, 0, 0, -396060, -70336, 0, 101868, 0, 0, 0, -25432, 11040, 0, -159300, 0, 0, 0, 122008, -200656, 0, 18976, 0, 0, 0, -12248, -752036, 0, -65808, 0, 0, 0, 726632, 95024, 0, -66792, 0, 0, 0, 241664, 7740, 0, -370508, 0, 0, 0, 242084, 363892, 0, 45216, 0, 0, 0, -62336, -433476, 0, -490576, 0, 0, 0, 265880, 175472, 0, -280200, 0, 0, 0, -234860, 186696, 0, 787574, 0, 0, 0, -125534, 60624, 0, -73920, 0, 0, 0, -2024, 61144, 0, -684262, 0, 0, 0, -159348, -80304, 0, 782208, 0, 0, 0, -19632, -265468, 0, 179428, 0, 0, 0, 729496, -6104, 0, 72344, 0, 0, 0, 26560, -314598, 0, -587862, 0, 0, 0, -123968, 27264, 0, -83448, 0, 0, 0, 43552, -157200, 0, 958524, 0, 0, 0, -826344, 91232, 0, -5888, 0, 0, 0, 127712, 307960, 0, -763648, 0, 0, 0, 617728, -88600, 0, -225480, 0, 0, 0, 390228, 121568, 0, -179444, 0, 0, 0, 205944, -260828, 0, 383264, 0, 0, 0, -38400, 205702, 0, 179112, 0, 0, 0, 317544, 9568, 0, 161412, 0, 0, 0, 21540, 268056, 0, 530166, 0, 0, 0, 617556, -364488, 0, -208832, 0, 0, 0, 254704, -4800, 0, -71990, 0, 0, 0, 255730, -71456, 0, 4848, 0, 0, 0, 697784, -407504, 0, 540892, 0, 0, 0, 244786, 156248, 0, 26752, 0, 0, 0, 103248, 445706, 0, 224780, 0, 0, 0, 100192, -21504, 0, 2788, 0, 0, 0, -420992, 149712, 0, -3184, 0, 0, 0, -65458, 208, 0, -21440, 0, 0, 0, 157792, -868662, 0, 941880, 0, 0, 0, -979588, 4768, 0, 547232, 0, 0, 0, 5912, 203332, 0, 142656, 0, 0, 0, 311116, -400372, 0, 366880, 0, 0, 0, -148640, 402680, 0, 955052, 0, 0, 0, 85344, 77856, 0, -81296, 0, 0, 0, -360036, 254432, 0, 792880, 0, 0, 0, 177388, -154968, 0, -83024, 0, 0, 0, 133712, 53400, 0, 199964, 0, 0, 0, 340164, 64600, 0, -274256, 0, 0, 0, -155480, 13840, 0, 932632, 0, 0, 0, 608620, -156140, 0, 413288, 0, 0, 0, 243232, -144670, 0, 190968, 0, 0, 0, -734240, 68544, 0, 404144, 0, 0, 0, -21728, -444340, 0, -167376, 0, 0, 0, 891216, -3144, 0, 17664, 0, 0, 0, -436832, 301492, 0, -773768, 0, 0, 0, 697164, -349528, 0, 708112, 0, 0, 0, 705336, 36244, 0, -487888, 0, 0, 0, 399036, 317040, 0, 310080, 0, 0, 0, -87744, -370800, 0, -252496, 0, 0, 0, -670080, 200672, 0, -67128, 0, 0, 0, -70472, -62704, 0, 562302, 0, 0, 0, 480468, -648972, 0, 22720], "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], [1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [4, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0], [-9, 0, 0, 0, 1, 0], [0, 0, 0, -2, 0, 0], [-14, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 4], [0, -4, 0, 3, 0, -3], [0, 0, 0, 0, 0, 0], [10, 0, 1, 0, -4, 0], [16, 0, 0, 0, 0, 0], [0, 8, 0, 1, 0, 6], [-18, 0, 0, 0, 2, 0], [0, -1, 0, 5, 0, -11], [0, 0, 0, -4, 0, 0], [0, 0, 0, 0, 0, 0], [-28, 0, -2, 0, 0, 0], [23, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8], [-47, 0, 3, 0, -2, 0], [0, -8, 0, 6, 0, -6], [0, 2, 0, 3, 0, -31], [0, 0, 0, 0, 0, 0], [-12, 0, 2, 0, 25, 0], [20, 0, 2, 0, -8, 0], [0, 4, 0, -10, 0, -29], [32, 0, 0, 0, 0, 0], [0, -7, 0, 7, 0, -13], [0, 16, 0, 2, 0, 12], [0, 0, 0, 0, 0, 0], [-36, 0, 0, 0, 4, 0], [-18, 0, 6, 0, -36, 0], [0, -2, 0, 10, 0, -22], [-68, 0, -7, 0, -3, 0], [0, 0, 0, -8, 0, 0], [0, 1, 0, -26, 0, -38], [0, 0, 0, 0, 0, 0], [-92, 0, 6, 0, -24, 0], [-56, 0, -4, 0, 0, 0], [0, -1, 0, 8, 0, -11], [46, 0, 0, 0, 0, 0], [0, 14, 0, 28, 0, 11], [0, 0, 0, 0, 0, 16], [0, 0, 0, 0, 0, 0], [-94, 0, 6, 0, -4, 0], [66, 0, 7, 0, 34, 0], [0, -16, 0, 12, 0, -12], [-158, 0, -16, 0, 36, 0], [0, 4, 0, 6, 0, -62], [0, -13, 0, 35, 0, -21], [0, 0, 0, 0, 0, 0], [-244, 0, -6, 0, 6, 0], [-24, 0, 4, 0, 50, 0], [0, 3, 0, 48, 0, 11], [40, 0, 4, 0, -16, 0], [0, 4, 0, 77, 0, 76], [0, 8, 0, -20, 0, -58], [0, 0, 0, 0, 0, 0], [64, 0, 0, 0, 0, 0], [-264, 0, -20, 0, 26, 0], [0, -14, 0, 14, 0, -26], [-6, 0, 31, 0, -28, 0], [0, 32, 0, 4, 0, 24], [0, 0, 0, 0, 0, 23], [0, 0, 0, 0, 0, 0], [-232, 0, -15, 0, -21, 0], [-72, 0, 0, 0, 8, 0], [0, -47, 0, -64, 0, 10], [-36, 0, 12, 0, -72, 0], [0, 17, 0, -27, 0, -60], [0, -4, 0, 20, 0, -44], [0, 0, 0, 0, 0, 0], [-136, 0, -14, 0, -6, 0], [-450, 0, -31, 0, -60, 0], [0, 0, 0, -16, 0, 0], [-353, 0, -1, 0, -40, 0], [0, 2, 0, -52, 0, -76], [0, -27, 0, -65, 0, -163], [0, 0, 0, 0, 0, 0], [-18, 0, 19, 0, -38, 0], [-184, 0, 12, 0, -48, 0], [0, 64, 0, 61, 0, 111], [-112, 0, -8, 0, 0, 0], [0, 16, 0, -47, 0, -46], [0, -2, 0, 16, 0, -22], [0, 0, 0, 0, 0, 0], [92, 0, 0, 0, 0, 0], [-438, 0, 14, 0, -57, 0], [0, 28, 0, 56, 0, 22], [-500, 0, -28, 0, 56, 0], [0, 0, 0, 0, 0, 32], [0, 21, 0, -16, 0, -205], [0, 0, 0, 0, 0, 0], [102, 0, 13, 0, -6, 0], [-188, 0, 12, 0, -8, 0]]}