{{1, 0, -1, -1, 0, -1, -1, 1, -1, -1, 2, 0, -2, -2, 0, 0, 0, 0, 1/2, 1/2, 
  1/2, -1/2, -1/2, 1/2, -1/2, 2, 3/2, 1/2, 1/2, -1, -1/2, 0, 0, 0, 1/2, 0, 
  -1, 0, 1/2, -1, 1, 1/2, 1, 0, -1, -1, -1/2, 1/2, 1/2, 1/2, -1/2, -3/2, 1, 
  0, 0, 0, 1/4, 0, -1/4, 1/4, 1/4, 1/4, 1/2, -1/4, 1/2, -1/2, -1/4, 1/2, 1/4, 
  -1/4, 0, 1/4, 1/4, 1/2, 1/4, -1/2, -1/4, -1/2, -1/2, -1/4, 1/2, 1/4, -1/2, 
  1, 1, -1, -1/2, 1, -1, -1, -1/2, -3/2, 1, 3/2, 1/2, -1, -1/2, -1/2, 3/2, 
  1/4, -1/2, -1/4, -1/4, 1/2, 1, -1, 1, -1, -2, -2, 2, 2, 1, 2, 2, 3, -1/2, 
  4, 2, -1, -1/2, 1/2, 1/2, 1, -1, -1, -1, -1, 1, -1, -1, -1/2, 0, 1/2, 3/2, 
  1, 0, 1, -1, -1/2, 1/2, 1/2, -1, -1, 1, -1, 1, -1, -1, 1, -1, -2, 1, -1, 
  -2, -1, 1, 2, -1/2, 1, -3, -2, 2, 1, 1, -1/2, 1/2, 1, 5, 3, 0, -1, 1, -1/2, 
  0, 0, 0, 0, 0, 1/2, -1/2, -1/2, 1/2, 1/2, 0, 0, 0, 0, 1/2, 0, 0, -1/2, -1, 
  1/2, 1/8, -2, -3/2, 31/6, 31/12, -1/2, 1/2, -1/2, 1/2, 2, -1, 0, 1, 0, -2, 
  0, 1, -2, 2, 1, 2, -2, -2, -1, 1, 1, -2, 1/2, -1/2, 3/4, 3/4, -3/4, -3/4, 
  -1, -1, -3/4, 1/4, 1, 3/4, 7/4, 1/4, -7/4, -1/4, -7/4, -1/4, -2, -1/2, 1/2, 
  2, 1/4, -1/4, -7/4, -1/4, 1, 1/4, 9/4, -1/2, 3/4, 0, -1, -5/4, 1/8, 0, 
  -11/4, -7/4, -3/4, -11/8, 9/8, -25/12, 19/8, -31/12, -1, -7/6, 9/8, 7/6, 
  -1/8, 1/2, 1, 11/6, 3/2, 7/12, 1/6, 25/12, -25/6, 31/12, -3/4, -7/4, 5/4, 
  7/4, -1/2, 0, 7/4, 1/4, 3/4, 17/8, 131/24, 25/12, -25/8, 31/6, -1/4, 1/4, 
  3/4, 7/4, -3/4, 3/4, -1/2, 95/24, 1/4, -5/8, 1/12, 1/2, -57/40, 1, -1/2, 
  -47/20, -1/3, -131/60, 0, -1091/480, -3/8, -167/60, 1/12, -1/3, 1/4, 1/4, 
  -3/4, 0, -1/2, 0, 0, 1/2, 3/4, -3/2, 3/4, -1/2, 0, 1/2, -1/4, 5/4, -5/4, 
  -5/4, 1/12, -1/3, 1/4, -1/3, 0, -1/4, 1/12, -1/3, 1/4, -1/12, 1/4, -5/6, 1, 
  3/2, -1/2, -2, -1/12, 1/4, -1, 1, 3/2, -1/2, -7/4, 1/2, 0, -1/2, 1/2, 2, 0, 
  0, 0, 0, 0, 1/4, 0, -1/2, 0, 1/4, -3/2, 0, 2, 5/4, -3/4, 3/4, 3/4, -1/4, 0, 
  1/4, 5/4, 0, 3/4, -1/2, 0, 1/2, 1/2, -1/2, 1/4, 0, -1/4, -3/4, -1/4, 1/2, 
  1/4, 3/4, -1/2, -1/2, 3/4, 0, -1/4, 0, 3/4, 1/4, 7/6, -3/8, 3/2, 1/4, -1/2, 
  1, -1/12, -3/4, 25/24, -1/2, 37/24, 3/4, -3/4, -1979/960, -7/16, -137/120, 
  0, 11/160, -113/320, -1/12, 1/3, -1/4, -5/36, 5/12, 0, 1/4, 1/4, -5/12, 
  1/4, -5/12, -1/2, 1/2, 1/2, 1/4, 0, 0, 0, 0, 1, 1/2, 11/4, 2, -2, 1/4, 
  -39/4, -3/2, -1/2, -2, -1, 0, 2, 2, -29/6, 1, 29/6, -1, -3, 1, 29/6, -1, 
  -5, -1, 1, 1, 1, 0, 0, -1, -13/4, 13/4, -2, 2, 1, 2, -1, 2, 4, 3, 1, 
  19711/960, -481/120, 23663/480, -5993/2880, 17/8, 35/24, 5993/960, 43/18, 
  2/3, -13/6, -1, -13/12, 0, 0, -1, -1, 0, 1, 1, -1, 5/6, -5/6, -28/9, 2, 
  10/3, 0, -79/12, -19/9, 2, 3, 0, -25/4, 1, 0, -1, 1, 2, 0, 0, 0, 0, -1/2, 
  0, 0, -25/4, -1/4, 2, 37/6, -2, -1/2, -1/4, 0, 1/4, 17/4, -37/6, 7/2, 7, 
  -4, 1/2, -21/4, -5/4, 1, -19/6, -21/4, -1, -5/4, 2, -1/4, -1, 0, 1, -1, 
  -26/3, 1, 5/2, 1, -2, 13/2, 7/2, -5/2, -11/2, 1, -1/2, 7/2, 1/2, -9/2, 
  -49/6, -593/960, 6229/960, -353/64, 14629/288, 13/48, -161/160, -193/192, 
  16129/192, 0, -1/2, 1, -1, -1, -3/2, 3/2, 1, 0, 1, 1/2, 0, 1/2, 0, 1/2, 
  3/4, -1/2, -3/4, 1, 5/4, -1/2, 2, 1/2, 1/4, 5/2, -3/2, 7/3, 5/4, -1/2, -1, 
  -7/12, 9/4, 1/24, -29/12, -125/24, 1/2, -1, 1, -1/2, 5/6, -1/3, -11/12, 
  11/12, 1/4, 0, -1, -1, 0, 0, 0, 0, 0, -3, -1/4, 1/4, 3/8, 1/12, -2, 11/6, 
  -107/24, -1, 7/3, 31/12, -1/2, -499/120, 49/20, 2891/128, -349/480, 119/48, 
  179/60, 1/2, -109/120, -550321/5760, 2657/384, 11/4, 11033/5760, 7/12, 
  -23/36, -1/12, 3/4, 1/12, -29/18, -11/12, -8/3, 5/12, 23/12, 0, 1, -9/4, 
  9/4, -1/4, -1/2, 1/4, 1/2, -1/2, -9/4, 1/4, -1/2, -1/4, -3, -3/2, -1, -1/4, 
  -119/24, 1/2, 1/4, -5/12, 3/4, -31/24, 0, -1/2, -1, 1/2, 0, 1/4, 1/8, -6, 
  -43/24, 19/12, 5/8, -19/12, -5/8, 0, 1/2, -1/6, -1, -83/12, 11/24, 10, 
  109/192, 0, 13/96, 6521/3840, -161/320, 137/48, -529/192, -997/1920, -9/4, 
  -28943/320, 189979/960, -137203/1152, -128599/768, -1/12, 1/4, 7/12, -1/3, 
  -1/4, 1/12, -1/4, -9/4, 9/4, -1/2, 1/4, 0, -1/4, -3/4, 0, -1/4, 41/36, 7/3, 
  1, 9/4, -1, 0, 1, 3/2, -5/2, 0, 0, -4, -20/3, -81/8, 1/2, 29/6, -1/2, 23/4, 
  -23/12, 179/36, -3/4, -215/36, 65/12, -65/12, 1/2, 287/36, -7/2, 9/4, 11/4, 
  11/2, -37/4, 1, 15/4, 43/2, 47/4, -45607/240, -76781/1152, 589021/1920, 
  -134605/576, -1703399/2880, 32/9, 1, -9/2, -1/2, 79/12, -22/9, 1/3, 7/3, 
  -3/2, 13/6, 1/2, 0, -1/2, 3/2, 2, -101/9, -2, 1, -77/8, -455/24, -1/4, -7, 
  1/4, -3/4, 89/12, -1/2, 0, 1/2, 1/2, 0, 1/2, 1/2, -1/2, 0, 1/2, 1/2, -1, 0, 
  1, 1, 0, -1/2, -1/2, 0, 0, 1/2, 0, -1, 0, 1/2, -1, 0, 1, 1/2, 0, 0, 1/2, 0, 
  -1/2, 0, -1, 5/2, 2, -1, -5/2, -1/2, 0, 1/2, -1/2, -1/2, 5/2, -2, -5/2, 0, 
  -1/2, 1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 
  0, 0, 0, -1/2, 1, -1/2, 0, 1/2, -1/2, -1, -1, 1, 1/2, 0, -1, 0, 1/2, -1/2, 
  1/2, 1/2, -1/2, -1/2, -1/2, 1, 1, -1, -1/2, 1, 0, 2, -1/2, -1, 2, 1, -1, 1, 
  0, 1, 1, 0, -1, 1, 1, 1, 0, 1, -1/2, 1, 1/2, 1/2, -1, 0, -4/3, 1, 
  -3542307140429/29639774848, 29/24, -7/4, -25/12, -7/8, -1/4, -25/12, 1/4, 
  0, -1, 1, -1, -1, 3/2, 2, 3/2, 1, 2, -1, 0, 1, 1, -9/4, -3, -2, -1, -9/4, 
  -3/2, 1, 2, 2, -2, -1, -1/2, 0, -1, -3, 7/6, 5/3, -1, -3, 2/3, 0, -2, 
  19/12, 1, 0, -1, -1, -3, 3/2, 417979393684776673/240082176268800, 
  185677996627070353/240082176268800, -678142050405584233/480164352537600, 
  -418324511813163073/120041088134400, -1038006948513465013/480164352537600, 
  -355902913814623621/480164352537600, -354400393965872221/480164352537600, 
  411847514716143901/960328705075200, 355422749462086021/240082176268800, 
  45606128911647241/960328705075200, 10222666294338697/24008217626880, 
  12824818134363583/480164352537600, -190564810332552757/480164352537600, 
  -96752592886541899/240082176268800, -40998800798217461/160054784179200, 
  356339729996446021/480164352537600, 57595038940562087/192065741015040, 
  -386926549102520203/960328705075200, -352929229303560901/480164352537600, 
  5160290223121237/20006848022400, 355902913814623621/480164352537600, 
  7016769211878901/38413148203008, -491288946238308253/960328705075200, 
  -354702502933279621/480164352537600, 4143894956576453/80027392089600, 7/6, 
  7016769211878901/38413148203008, -98198910961049/370497185600, 
  -355662831638354821/480164352537600, 117507143544264731/960328705075200, 
  537892118244139/4801643525376, 86097737822111/48016435253760, 
  -5304827553432719/48016435253760, -539992837286491/4801643525376, -305/576, 
  1/6, 74593800209231/30010272033600, -3/2, -544794480811867/3001027203360, 
  -19270957997877809/30010272033600, 11/12, -11/12, -11/12, 0, 0, 0, 0, 0, 
  1/2, 0, -1/2, 1, 31/6, -1, 0, 1, 1, -3/2, 25/12, -25/12, 1, 1, -2, 13/12, 
  1, -1/12, 1/2, 0, -1/2, 0, 25/6, 0, -1, 0, -1/2, 1, 0, 0, 7/4, -7/4, -7/4, 
  7/8, -7/8, -7/8, -7/8, -7/4, -2, -1, -2, -1, 0, 1, 1, -1/2, 1/2, 3/2, 1, 0, 
  1, 1, -2, 9/4, 5, 3, 1, 8/3, 14/3, 2, 3, -3/2, -7/3, 0, 5/2, 73/12, 14/3, 
  0, -14/3, -11/3, -3, 0, -19/6, -39/4, 0, -1, -11/2, 
  -1027193037461999437/480164352537600, -29784539327621611/80027392089600, 
  210656582889470423/120041088134400, 53458118099639627/20006848022400, 
  15533592367410845/9603287050752, -49448228264573647/26675797363200, 
  -3916374781962509/19206574101504, 85692350141039111/53351594726400, 
  472323795541812173/240082176268800, 105567080264838541/240082176268800, 
  -544794480811867/3001027203360, -98574416399315897/480164352537600, 
  1675623666480151/3751284004200, 505491628743061793/240082176268800, 
  142154619224820229/53351594726400, 13715303927572601/32010956835840, 
  4595443307965751/160054784179200, -31870719375125587/80027392089600, 
  -63589554642189341/160054784179200, -5742840092555869/40013696044800, 
  -2629125733197299/30010272033600, 1568761483224871/53351594726400, 
  268225385271583/3001027203360, -74325389474247481/160054784179200, 
  -97595613882186413/60020544067200, 543794138410747/3001027203360, 
  1027239090784403/240082176268800, -5395858711934639/30010272033600, 
  -7058320032927391/24008217626880, -19248366931985849/48016435253760, 7/12, 
  -7/12, 1, 11/12, -11/12, -11/12, -11/12, -11/12, 0, 0, 0, 0, 0, -3/2, 3/2, 
  3/2, 1/2, 0, 5/12, 5/12, 0, 0, 0, 0, -1, -19/6, 0, -7/4, 1, -25/16, -1, 0, 
  3/2, -1, 1, 0, 1/6, 3/2, 3/2, -1, -3, 3, 1, 1, -1/2, 
  624049580911171861/960328705075200, -348516424020498277/240082176268800, 
  1087600955002391/4001369604480, -123728165629121743/40013696044800, 
  -45657348112472153/120041088134400, -23/48, 
  10733948019481649/120041088134400, -162023001926110261/960328705075200, 1, 
  -61745841141166909/106703189452800, 233351627718465413/60020544067200, 
  -13186689023423171/192065741015040, 19614254147497919/120041088134400, 2/3, 
  -1, -29/24, 25/24, 5/12, -5/2, -5/24, -25/24, 7/12, -1, 0, 1/2, 1/2, 5/6, 
  -1/2, 1/2, 1/6, -21/8, -3/4, -7/8, 3/2, 7/8, -3/4, 7/4, 0, -35/8, -1, 
  -27/16, 41/16, 27/16, -3/4, 0, 3/2, 0, -3/4, 2, 0, -2, -5/4, 13/8, 1, 
  -13/8, 3/4, 0, -3/4, -5/4, -13/8, -2, 1, 1, -1, -1, 1, 1, 4, -2, -1/2, 1, 
  2, -2, 0, -1/2, 2, 1/2, 2, 3/2, -2, -3/2, 1, 2, 0, 2, -5/2, 2, 1, -1/2, 
  1/2, 0, 3/4, 5/3, 0, 11/2, 7/2, -3/2, 2, 0, 21/4, 25/6, 37/6, 1/2, 3/2, 0, 
  -3/2, -1/2, 0, -2, -14/3, -1/2, -5/12, -31/12, -21/4, -7/12, -37/6, 1/2, 2, 
  0, -1/2, -2, 0, -2, -3/2, -1/2, -17/12, -91/12, -17/4, 5/12, -31/6, 0, 
  -1/2, -2, 1/2, -1/2, 3/2, -79/12, -1/4, -55/12, -19/12, 
  -2596125825038869/1500513601680, -38128026067962457/19206574101504, 
  228343066607992441/120041088134400, 20228872047850969/6002054406720, 
  217262891431374247/48016435253760, -29301670312221919/20006848022400, 
  435984769459707097/120041088134400, -152095780252405/800273920896, 
  -2032432229898292429/480164352537600, -2260227508132673/6668949340800, 
  -1059201791740935227/48016435253760, -210228401865530747/6668949340800, 
  821096936020542983/53351594726400, 22942166768298536659/480164352537600, 
  9243570030061168183/480164352537600, 4805211499302337/2400821762688, 
  -2087076194275235/1200410881344, -54361635070508429/120041088134400, 
  -515621307691114393/120041088134400, 274072021275255151/160054784179200, 
  83602832760311/37512840042, -236804533095935897/120041088134400, 
  179757698464392773/120041088134400, 271178662720053071/96032870507520, 
  101442435621169/1250428001400, 13540907783526001789/480164352537600, 
  9815492055476682349/480164352537600, -11798819112440961923/480164352537600, 
  -13425844690903964039/480164352537600, 10656954844429463/26675797363200, 
  2597126167439989/1500513601680, 98905854470450717/240082176268800, 
  -54427907754582629/120041088134400, -43721463941243471/12004108813440, 
  -112017263244406867/240082176268800, 221747049048783467/120041088134400, 
  -228097135832376377/120041088134400, 12052492793014501/240082176268800, 
  293906095495329461/120041088134400, 2260227508132673/13337898681600, 
  3971487735287197627/160054784179200, 7312768363656201749/480164352537600, 
  -3311964616533957133/160054784179200, -1313247805492367257/53351594726400, 
  3399002424188167/8002739208960, 1343539933182859/2500856002800, 
  228702104559551/80027392089600, 5/24, -70848182292027071/120041088134400, 
  -77/80, -2597063646039919/1500513601680, 12108345243743701/240082176268800, 
  137117449854740311/60020544067200, 2260227508132673/13337898681600, 
  -10960618098798491/10003424011200, 1564399199085626087/96032870507520, 
  21248656038523939/15005136016800, -1285923817594582373/53351594726400, 
  -1058360771730404831/53351594726400, -1, -5/24, 49/24, 5/24, -25/24, 11/12, 
  -11/12, -17/12, 7/24, 35/24, 5/6, -1/2, 1/2, 0, -1/2, 1/2, -1/2, 0, 1/2, 
  4/3, -23/6, -1/2, 0, 1, 0, -1/2, 0, 0, 1/2, 1/2, 0, 0, 0, -1/6, 2/3, -1/2, 
  2/3, 0, 1/2, 13/12, -5/12, -13/12, -7/12, -1/2, 2, -5/12, -13/12, -7/12, 
  -1/2, -1/2, 0, 1/2, -3/2, -14/3, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -1, 2, -2, 
  -2, 0, -1, -2, 0, 1, 0, -1, -2, 39/16, -1/2, 0, 1/2, 3/2, 1/2, -2, -1/2, 
  -3/2, 1, 1/2, 0, -1/2, 0, 1/2, -2, -23/12, -3/4, -1, 1/2, 0, -1, -5/6, 2, 
  -7/12, -2, -55/12, 4810813416748609/4801643525376, 
  -43478789713352453/30010272033600, -49586262309051187/26675797363200, 
  348383878652349877/240082176268800, 1/16, 191154974721637667/
   240082176268800, -17/160, -5/16, 733704776033309/48016435253760, 
  -109541921822843911/240082176268800, -17498801201535491/24008217626880, 
  -84782914436738167/60020544067200, 255439684648200707/240082176268800, 
  1/48, -67/288, 1639515941293001/8891932454400, 
  -12382956169370867/12004108813440, 1564831347002909927/96032870507520, 
  81518331277822007/60020544067200, -12523221746153155/2400821762688, 
  1722102790439441/96032870507520, 2724408056639547/2963977484800, 
  -255093980238501943/240082176268800, -565986936564623897/32010956835840, 
  -21634996456709917/80027392089600, -9447030011159920603/480164352537600, 
  -6634205833843199/48016435253760, 3242742254106619433/160054784179200, 1/6, 
  -2/3, 1/2, 1/2, -5/24, -1/24, -1/2, -1/2, -5/12, -1/2, 1, 1, -1, -1, -11/6, 
  0, 0, 0, 0, -1, -2, 1, 3/2, 9/4, 7/3, 1, -5/4, 3/2, 29/8, -1/4, -29/24, 
  1/4, 3/2, 79/24, -4/3, -1234076142899411/3001027203360, 
  -52161952021539/7409943712, -210931701684419291/26675797363200, 
  -1993581097339741/24008217626880, 169005454092350843/240082176268800, -7/6, 
  -17/6, 11/6, -3, 1, -11/8, 9/4, -1/2, -5/6, 1/2, 3/2, -39/4, 2, -2, 
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