{{1, 3/2, -2, 1, -3/2, 2, 2, -1, -4, -3, 4, -2, -8, -9, -1, -1, -6, 3/4, 
  -9/2, 4, -2, -4, 1, 3/2, -2, -2, -2, 9/2, -3/2, 9/2, 1, -3/2, 2, 2, -2, 
  -1/4, 5/2, -4, -1/8, 1, -1, 1, 1, -2, -3, 2, 2, 5, 2, -2, -2, 407/372, 
  195/62, -1, -407/372, -7/2, -593/372, 1/2, 1/4, 1/4, -2, -2, 2, 2, -1/4, 2, 
  -2, 223/372, 91/372, 195/62, -1, 149/372, -7/2, -1, -593/372, 1/2, 1/8, -1, 
  1, -1/8, -47/248, 7/62, 11/62, 1/8, 51/62, -1, 2/31, -1/2, 220/31, 2, 4, 
  -4, 955/124, 130/31, -4, -3/2, 1, 2, 3, 168/31, -8, -1, 316/93, -1, 114/31, 
  -7, -1, 843/31, -4, 1, -843/31, 4, -6, 530/31, -3/4, 8857/186, 8857/186, 
  -8857/186, -373/93, -145/372, 2087/372, 956/93, -364/31, 729/124, 
  10583/372, -12725/372, -1167/124, 2002/93, 14545/372, 455/93, -4198/93, 
  -4198/93, 4198/93, 13/2, -3/2, -96/31, 539/62, 497/124, -11, 1001/93, 
  697/93, -2534/93, -246/31, 5723/186, 397/186, 697/93, 115/93, -782/31, 
  -8437/186, 623/93, 533/62, 977/124, -1370/93, -5135/186, 3272/93, 2549/186, 
  -2491/93, -5/2, -1, -139/62, -29/186, -5135/186, -487/93, 689/31, 2902/93, 
  487/93, 4198/93, 2549/186, -4438/93, -2491/93, 1954/93, 4783/496, 
  -4055/744, 206/93, 103/93, -6535/248, -206/93, -581/558, -37513/4464, 
  -2041/1116, 5725/1116, 301/372, -2393/372, 581/186, 813/124, -41/372, 
  1067/496, 2851/372, 913/558, -84/31, 8117/372, 6291/248, -49/31, 206/93, 
  206/93, -7287/248, -206/93, -9/31, -5681/1116, -2749/248, 7679/1116, 
  7355/1116, -301/186, 1/2, 1401/62, 335/186, -49/31, -883/93, -751/62, 
  -3995/186, 689/62, 392/31, 95/124, -2749/248, -1607/93, 7355/1116, -5/2, 
  -3/2, 3/2, 1/2, -5/2, -1, -3/2, 1, 3/2, 1/2, 3/8, -5/4, 3, -3/4, 3, 
  5929/744, -1375/372, -581/186, -813/124, -5495/496, -1231/372, 8383/1116, 
  -21/8, 19/4, -3/8, 9/4, -7/4, 3/4, -3/4, 3/4, -2, -5, -3/2, 9/4, 2, -3/2, 
  8, 1911/248, 1435/186, 849/248, -689/186, -4235/248, -3647/744, -167/48, 
  302/93, -877/186, 8383/558, 4249/1116, -3207/124, -2671/124, -2471/372, 
  -21121/744, 215/31, 2225/93, 604/93, 24109/744, -604/93, 11/62, 8383/558, 
  11959/744, -26375/1116, -8383/558, -1837/372, -1913/372, -935/186, 665/186, 
  215/31, 6343/372, 813/62, 2995/186, -751/62, -647/93, 11959/744, 1175/372, 
  -8383/558, 377/186, -1, 701/372, 110/31, -50/31, -437/186, -813/62, 
  -2041/372, -74/31, 813/62, -2, -1001/93, -6779/744, -6485/372, -353/744, 
  2711/186, -50/31, -1, 7/4, 81/31, -2, -633/62, -5, -977/124, 174/31, 
  1370/93, 2, 17611/372, -7663/744, 5981/372, -12241/372, -813/62, 1055/186, 
  -301/186, -2601/248, -1199/93, 131/6, 71/372, -15/8, 313/124, 131/62, 
  -19/186, -813/124, 5, 1, -467/93, -2, 301/372, -545/744, 4441/744, 103/62, 
  2143/372, -7817/1488, -2851/372, -23/372, 203/558, -11/3, -1, 1, -1/2, 9/4, 
  -4, 1/8, 3/4, -1, -3, 1, 4, 1, 9, -1, -6, -1681/744, 133/248, -113/124, 
  -41/62, 188/93, 813/124, 251/62, 577/186, 1, -5477/744, -1627/744, 
  -1535/744, 19325/1488, 1231/372, -8383/1116, -2561/124, 460/31, -8, 
  9241/124, 299/62, -4640/93, 2339/24, 16301/248, -18439/1488, -96469/1488, 
  361/62, 110473/1488, -7705/372, -11547/248, 10351/248, -7063/186, 
  -5911/248, -1109/744, 7063/186, -2479/744, -76021/5208, -4923/1736, 11/2, 
  -905/31, 53, 2320/93, 476023/2604, -8162263/39060, -21956/651, 
  10187677/130200, 125035/2604, -4796977/130200, -6179/93, -10711/2604, 
  -385694/1953, -252/31, 385694/1953, 9757/62, 9757/62, -23406431/156240, 
  -3663151/15624, -504/31, 385694/1953, 9757/31, -49685/186, 9043/186, 
  221088379/390600, 3275533/7812, -4563526/16275, -746/93, -9374/31, 
  -9123/62, -197/8, 1277/31, -227/16, 134257/248, -134257/248, -9123/62, 
  -9253/31, -1167/62, 43707/62, 5617/62, 910/93, -76523/186, -1167/62, 
  35903/93, 62423/93, 910/93, 2313/124, 2313/248, 5129/372, -2313/124, 
  -27925/744, 373/93, -10493/372, -8, -14, -2337/124, 85/4, 963/496, 
  -2313/248, -5129/372, 2313/248, 2313/124, 2313/124, -10583/372, -2313/124, 
  7349/186, 2737/186, -2002/93, -2753/62, -455/93, 75499583/781200, 
  57628271/390600, 55/2, -271/4, -1724/93, -8671/744, 19626833/86800, 
  -18151/372, -1369/248, -5183/372, -7165/248, 1495/186, 18439/1488, 
  25775/1488, -1495/186, 86735/1488, 6485/124, 47465/2232, -304507/4464, 
  160516714/439425, 687382931/2343600, -72252779/195300, 7423511/6975, 
  14763947/27900, 583/372, -722843/450, -30067669/55800, 29659069/55800, 
  -7137986/6975, 4307/372, 29785519/27900, -3199/186, 21393199/65100, 
  4996/651, -63694121/97650, -3406/217, 6553177/19530, -8731601/781200, 
  76021/5208, 2260579/130200, -604/93, 9787/2604, -190417/7812, -74665/15624, 
  -9925/62, -2505/124, 48194213/260400, 164241421/195300, -206/93, 
  3663151/15624, -322297/15624, 206/93, 9739/62, -332923/65100, 
  -519959519/260400, -978623/15624, 21601879/18600, 660335281/878850, 
  688992581/1171800, -30333853/58590, -103785421/334800, 16901999/146475, 
  -36860777/48825, 210546187/585900, 59450863/111600, -39276167/37200, 
  28262719/55800, -57985963/111600, 56905313/111600, -855/124, 3207/124, 
  -79739/372, 2481/248, 82723/372, -11845/248, 15425/186, 9374/31, 
  -162431/744, 604/93, -4714/31, -1167/124, 263297/2232, -44266/279, 455/93, 
  321033428/439425, 1345080787/2343600, -50353871/390600, -3079141/21600, 
  -69888071/1171800, -12068759/16275, 217981523/2343600, 59450863/111600, 
  29718019/111600, -22336283/27900, -29344069/111600, 30086869/111600, 
  -58256863/111600, 2863/124, 29919019/55800, -1647/62, -24751/2232, 
  -3385/279, -995/248, -16831/1116, -3207/124, -1307/93, -30737/744, 
  -3011/496, 2344/93, 2122/93, 302/93, 14861/496, -167/31, 587/93, 8383/1116, 
  -24463/4464, -517/62, -8383/1116, 302751737/7030800, 160516714/439425, 
  83285731/4687200, 345964453/1171800, 72029333/1171800, -55911521/390600, 
  -159497309/937440, -1231/372, -101095931/585900, -6143317/16275, 
  266159723/2343600, 59534563/55800, 3232941/12400, -170/93, 
  -207196733/111600, -10501523/37200, 27821869/37200, -7352561/6975, 
  -9707/4464, 119466451/111600, -819/62, 14733/496, 171389/1488, 71803/1488, 
  -20791/124, -6383/372, -24358049/43400, -307085/5208, 129857317/260400, 
  42548/48825, -56075/5208, 47194321/130200, -95103121/312480, 
  654710687/781200, -158805023/781200, -20819/124, -11462179/43400, 
  22426179/12400, -4490057/15624, -232056911/130200, -548449/1488, 
  -19544207/146475, -339364981/1562400, 619913/1488, 505732349/781200, 
  52045/372, 18397943/21700, 894057/3472, 3833917/74400, -60216547/130200, 
  391116983/1171800, 4154603/21700, 457319441/781200, 21383589/86800, 
  -24299/372, -11942939/26040, 101713951/260400, 26235/868, -14297111/24800, 
  -2, 1/2, 3/2, -2, -2, -2, 1, 4, 3, -3, -4, -1, 2, -3/2, -1, 1, 1, 3/2, 
  -7/2, -1, -10, -4, 2, 8, 6, -8, 4, 16, 18, 2, 2, 12, -3, -1, 2, 5, 3, 
  -11/4, 3/2, 2, 45/8, -3/8, -3/8, -7/8, -51/8, 1/4, 1, -2, -1/2, 2, 
  -515/186, -45/62, 244/93, -863/372, -17/2, -11, -1/2, 1/2, -1/2, 12, 2, 
  -1/2, -7/2, -11/2, -17/2, 11/2, -17/8, -61/8, -1/2, 1/8, 1, 3, 75/8, 6, 6, 
  -7/2, -43/4, -71/8, -3/8, 73/8, -51/8, 1, -1, -1, -3/4, -9/4, 7/2, 3, 1, 3, 
  5/8, -3/8, -3/8, 73/8, -51/8, -199/62, -490/93, -97/62, 2, 2, 767/186, 2, 
  -755/372, -701/186, -69/31, 244/93, -677/372, 1/2, -5/2, 2, -1/2, 2, -3, 
  -515/186, -69/31, -35/93, -677/372, -17/2, -7, -1/2, 1/2, -3/2, 9, -3, 
  -1/2, -1/2, -11/2, -17/2, 11/2, -1, 7/2, -2, 1/4, 1/2, -5/2, -2, 4, 7/2, 
  -113/93, 127/124, 38/31, -29/186, 701/186, -1/2, -337/93, -107/62, 947/372, 
  1/4, -2, 2, -47/62, -2, 47/62, 46/31, 887/186, 2, 421/62, -2, -4, -337/93, 
  -162/31, -6, 2, 2, -79/186, -1061/186, -38/31, 69/31, 941/124, 887/186, 
  -337/93, 46/93, 1133/372, -1/4, -3/4, 2, 9/2, -2, -4, 1/4, 1/2, -2, -2, 2, 
  -1207/372, -1577/372, -38/31, 69/31, 1439/372, 701/186, -58/93, 46/93, 
  1133/372, -1/4, 2, -2, 1/4, -27/124, 38/31, -1/4, -100/31, 2, 381/124, 
  29/62, 17, 31/4, -41/4, -7, -7/4, -145269/3472, 5/4, -5/4, -919941/27776, 
  -45/4, 75/124, 5/4, -32480/279, -375866893/325500, -76210271/244125, 
  -63074104/146475, -3862415/7812, -427931183/306900, -5642694193/4296600, 
  63074104/146475, -34919974813/21483000, 17, -7, 53837957/1464750, 
  12823783/209250, -135045667/488250, 159198647/732375, 1126976041/2929500, 
  67203754/146475, -73480271/488250, -66471379/146475, 23639441/418500, 17, 
  3, -25, -3, 14, 6, 6, 17, 13/4, -7, -3, 5/2, 98049113/1562400, 
  -59190671/1171800, 26019677/138880, -134853/3472, -112/31, 25629917/138880, 
  860701/4340, 7, -133117/3472, -185589/3472, 25560477/138880, 162629/3472, 
  3, -134853/3472, -155685/3472, 25629917/138880, 175649/3472, 16, 
  -133117/3472, -178253/1736, 25560477/138880, -6, 3, -12823783/209250, 
  135045667/488250, -159198647/732375, -21/4, -5/2, 9/2, 1/2, 
  -1142537041/2929500, -67060429/146475, 69621521/488250, 66621004/146475, 3, 
  -6, 7/4, 19/4, 919941/19840, -353/31, 149/31, -120364217/138880, 
  609197/1736, 3, 1, -1, -1, 3/4, -11/4, -3/2, -5/4, -746341/27776, 
  1729928533/5859000, -390184703/5859000, -133974383/585900, -17, -1, 492/31, 
  11, -31/2, 6, -6, -6, -1221/124, 3/2, -16/31, 25/4, 4923/868, 
  1151897/15624, -4797265/7812, -32480/279, 1063999/7812, 51431801/83700, 
  -4923/868, -51685601/83700, -644261497/732375, 711913/7812, 
  -782659351/418500, 1092886693/732375, 639302287/1953000, -8290613/29295, 
  3/2, -16936951/41850, 3, 531737953/2929500, 6165800807/2929500, 
  211002533/83700, -347136688/146475, -1432441763/976500, 462254999/292950, 
  2328623/11718, -1309010/651, 3862415/7812, 653317883/306900, 
  11308420153/32224500, -462254999/292950, -10784039587/8056125, 
  -16456476493/32224500, 653317883/306900, -708431/2604, -77499529/1171800, 
  -174401/651, 303681904117/128898000, 8290613/29295, -3/2, 16936951/41850, 
  -3, -531737953/2929500, -23320164403/32224500, -9080175803/32224500, 
  25024876993/32224500, -2326746151/859320, 77420396/244125, 48122639/108500, 
  -276201953/5859000, -150711667/488250, 477221281/5859000, -8857/372, 
  -2705/124, 1571/186, 8857/372, -455/186, 178090417/488250, 86492396/244125, 
  -927/31, -86980646/244125, 2317/186, 68441704/146475, 133968083/292950, 
  -24, -67789654/146475, -8851/372, -8857/124, -8857/124, 6, 8857/124, 
  179559/19840, 98049113/1562400, -59190671/1171800, 7/4, 98049113/1562400, 
  -59190671/1171800, 32524837/138880, 3, -134853/1736, -168229/3472, 
  25629917/69440, 6, -3, -3, 6, -2675/2232, -1/2, -5/2, -2, 1/2, 35/4, 
  1555676081/2929500, -1167/124, -922950541/2929500, -44790639/108500, 
  455/93, -181284233/585900, -86156396/244125, 697/31, 87621146/244125, 
  16952441/418500, -2254234/4725, -133681433/292950, 454/31, 67939279/146475, 
  28503941/418500, -1409041/3255, -1396021/3255, 18299/2232, 1/2, 5/2, 2, 
  -1/2, -35/4, 4, 3, -1, -6, 149/31, 587861/13500, -15624941/418500, 
  1167/124, 10465783/209250, 14601191/418500, -455/93, 2099/31, 2099/31, -6, 
  -2099/31, -153/8, -134261033/390600, 81/4, 134261033/390600, -3/8, 
  69173029/130200, 33601877/146475, -135335183/390600, -33894827/146475, 
  -5504910191/4340000, 262295/1736, 2130967/976500, -47512727/1464750, 
  -8383/186, 408663/1736, 980630243/5859000, -1221897/3100, 
  -1910045573/5859000, 1/8, -421249/1736, -9/2, 1902721823/5859000, 7/2, 
  10789278851/10741500, 11641789/41850, -44215320451/64449000, 
  -1645679/341000, -17/8, -2248778207/5859000, -8719261/18900, 797/124, 
  292752959/1953000, 117/248, 75/8, 270968041/585900, 1129/744, -7/2, 
  5915/248, -22858507/837000, -6437/744, -21463/744, -4223/124, 89/32, 
  -277/124, -436591/13888, -101173913/1562400, 59190671/1171800, -1/2, -3/2, 
  3/4, -1/2, 7/2, -31/4, 3/2, -71/8, -482463953/5859000, -158/31, 
  -285759959/1953000, -501/248, 1834981033/5859000, 228936551/732375, 
  6887/744, -226479551/732375, -19559/744, 12857/744, 427/93, -243979/5208, 
  797027011/3906000, 173681/1736, -150768151/1953000, 567142127/5859000, 
  -4923/868, -1204766329/2929500, -33601877/146475, 367223/2604, 15559/2604, 
  -1151897/15624, -17407033/418500, 66767479/585900, 8634329/209250, 
  68125129/585900, 460/93, 15226783/418500, -813/62, -72906829/585900, 
  -1565/186, -56937716789/58590000, -1379/372, 17280526/146475, 
  53969971249/58590000, -42169619411/58590000, 2103592717/5859000, 
  966947171/2929500, -697/62, 4344787829/6510000, 6152117747/2929500, 
  -845750921/2929500, -2521059781/1464750, -487766371/1674000, 173681/1736, 
  16712309/1953000, -2343743677/5859000, -8383/186, -8324738/16275, 
  -33601877/146475, -33135677/195300, 132531683/585900, -697/62, 
  218820913/292950, 39144302/146475, 39753827/195300, -68975629/292950, 
  1052252827/11718000, 262295/1736, 16712309/1953000, -137540311/418500, 
  -8383/186, 159507/1736, 79799687/2929500, -462254999/292950, 3043533/43400, 
  -661955437/2929500, -419/124, -338931/1736, 67057279/292950, 
  -456693371/1953000, -7/2, -37346578/28875, -2080085129/4296600, 
  20998439107/21483000, 29372084047/21483000, -3185/279, 199/62, 
  -66767479/585900, -357/124, 58023079/585900, -2059/93, -178/31, 813/62, 
  -62474029/585900, 3041/186, -17489363473/32224500, -2954442551/64449000, 
  -128512283/585900, -7522850887/21483000, 18497163329/21483000, 
  -144751/1736, 187352422/732375, 67057279/292950, -1253297/3100, 
  -2190923593/5859000, 5197/124, 318099/1736, 9665471/292950, 
  379667623/976500, 7, 5467001797/3580500, -33595645393/25779600, 
  70471276/146475, -541037801/298375, 12984077/2864400, 209865/868, 
  2033029/2929500, 3/2, -1232397/3100, -587555641/732375, 5197/124, 
  -206085/868, -1173/31, 385006873/976500, -135/31, -331553479/5370750, 
  48493541633/64449000, 70471276/146475, 457317587/2685375, 12984077/2864400, 
  -17/2, -50091389/108500, -48122639/108500, -3659/372, 97144583/585900, 
  1037/372, 910/93, 147388417/325500, 20239/744, -239/186, 
  -404454203/5859000, -548196031/5859000, -2621/744, 358674203/5859000, 
  -2995/558, -449/93, 16134488/732375, 6487/372, 1111708/2625, -132/31, 
  -457/62, -813/62, 29664448/244125, 813/62, 61194007/837000, 
  -159198647/732375, -199/744, -35188691/418500, -2248/279, -17, 
  -169354417/325500, -54319389/108500, -3473/372, 4073/744, 377/124, 2026/93, 
  5317457/10500, 19867/744, -445/93, -157683203/5859000, -124503203/5859000, 
  -989/744, 111903203/5859000, -2180/279, -640/93, -276266341/585900, 
  -8690911/18900, -1771/124, 236/31, 377/124, 1906/93, 280408591/585900, 
  2365/124, -422/31, -452901203/5859000, -321829703/5859000, -989/744, 
  501552953/5859000, -2180/279, -6985149/69440, 8489359/69440, 
  1381199387/14061600, 495739501/3124800, -3005837287/28123200, 
  184849549/714240, 1205109/8680, 138203/2170, 99200851/3124800, -5/2, 
  -2397294311/18748800, -94143113/1562400, 59190671/1171800, 8859519/138880, 
  1/2, -3/2, 1526437/41664, 1025/744, 99200851/3124800, -5/2, 
  -770101693/9374400, 3, -94143113/1562400, 55675271/1171800, 8859519/138880, 
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