Created: Sept-Dec., 2003. This version: Dec. 1, 2003 This is SMCper, a Maple package to implement Doron Zeilberger's Symbolic Moment Calculus applied to patterns in permutations as it is described in his article Symbolic Moment Calculus: I. Foundations and Permutation-Patterns Written by Doron Zeilberger, zeilberg@math.rutgers.edu `` Please report bugs to zeilberg@math.rutgers.edu `` The most current version of this package and paper are available from http://www.math.rutgers.edu/~zeilberg/ For a list of the MAIN procedures type ezra();, for help with a specific procedure, type ezra(procedure_name); For a list of the supporting procedures type ezra1();, for help with a specific supporting procedure, type ezra1(procedure_name); Warning, the protected name Chi has been redefined and unprotected [[{[3, 6, 1, 4, 7, 2, 5]}, 8441/1077105223434240000, .7836745952e-14], [{[5, 1, 7, 4, 2, 6, 3], [3, 6, 1, 4, 7, 5, 2]}, 24613/2423486752727040000, .1015602828e\ -13], [{[3, 6, 1, 7, 4, 2, 5], [4, 2, 7, 5, 1, 6, 3]}, 197671/ 19387894021816320000, .1019558905e-13], [{[3, 6, 1, 5, 2, 7, 4], [6, 2, 4, 7, 1 , 5, 3]}, 200077/19387894021816320000, .1031968711e-13], [{[3, 7, 4, 1, 6, 2, 5 ], [4, 2, 7, 5, 1, 3, 6]}, 68417/6462631340605440000, .1058655467e-13], [{[5, 2 , 6, 3, 1, 7, 4], [2, 5, 7, 1, 4, 6, 3]}, 69119/6462631340605440000, .\ 1069517915e-13], [{[5, 2, 6, 3, 7, 1, 4], [6, 2, 4, 7, 1, 3, 5]}, 17621/ 1615657835151360000, .1090639343e-13], [{[3, 7, 5, 1, 4, 6, 2], [4, 7, 1, 5, 3, 6, 2]}, 149/13463815292928000, .1106669965e-13], [{[3, 7, 4, 1, 5, 6, 2], [6, 2 , 3, 5, 7, 1, 4]}, 1163/100978614696960000, .1151729011e-13], [{[4, 7, 3, 1, 5, 6, 2]}, 224347/19387894021816320000, .1157149919e-13], [{[4, 7, 3, 1, 6, 2, 5], [4, 6, 3, 1, 7, 5, 2]}, 45341/3877578804363264000, .1169312148e-13], [{[6, 2, 4 , 5, 1, 7, 3], [3, 6, 1, 5, 4, 7, 2]}, 5851/497125487738880000, .1176966409e-13 ], [{[6, 2, 5, 4, 1, 7, 3], [3, 6, 1, 4, 5, 7, 2]}, 32639/2769699145973760000, .1178431240e-13], [{[4, 2, 7, 5, 3, 1, 6], [3, 7, 4, 1, 5, 2, 6]}, 3061/ 258505253624217600, .1184115200e-13], [{[3, 7, 2, 4, 6, 1, 5], [2, 5, 7, 4, 1, 3, 6]}, 46097/3877578804363264000, .1188808850e-13], [{[6, 2, 4, 1, 7, 5, 3], [ 4, 2, 7, 3, 6, 1, 5]}, 1181/97918656675840000, .1206103147e-13], [{[3, 7, 4, 1, 6, 5, 2], [4, 7, 1, 3, 6, 5, 2]}, 39043/3231315670302720000, .1208269448e-13], [{[6, 2, 4, 1, 7, 3, 5], [4, 2, 6, 3, 7, 1, 5]}, 235021/19387894021816320000, .\ 1212204893e-13], [{[4, 7, 3, 1, 6, 5, 2]}, 235903/19387894021816320000, .\ 1216754124e-13], [{[3, 6, 1, 7, 5, 2, 4]}, 59207/4846973505454080000, .\ 1221525142e-13], [{[5, 2, 4, 7, 3, 1, 6], [6, 2, 5, 3, 1, 7, 4]}, 733/ 59839179079680000, .1224949960e-13], [{[3, 7, 2, 5, 6, 1, 4], [2, 5, 4, 7, 1, 3 , 6]}, 39797/3231315670302720000, .1231603596e-13], [{[3, 7, 1, 5, 6, 2, 4], [3 , 6, 1, 7, 4, 5, 2]}, 240481/19387894021816320000, .1240366797e-13], [{[5, 2, 4 , 6, 1, 7, 3], [6, 4, 1, 3, 7, 2, 5]}, 3239/258505253624217600, .1252972601e-13 ], [{[3, 7, 1, 5, 4, 6, 2]}, 6229/497125487738880000, .1253003548e-13], [{[6, 1 , 4, 7, 3, 2, 5], [6, 2, 3, 5, 1, 7, 4]}, 6779/538552611717120000, .1258744244e\ -13], [{[5, 3, 6, 1, 4, 7, 2], [4, 7, 2, 5, 1, 3, 6]}, 16327/ 1292526268121088000, .1263185159e-13], [{[6, 4, 1, 3, 7, 5, 2], [3, 7, 4, 2, 6, 1, 5]}, 245537/19387894021816320000, .1266444925e-13], [{[6, 2, 4, 1, 5, 7, 3], [6, 1, 5, 3, 7, 2, 4]}, 13649/1077105223434240000, .1267192815e-13], [{[5, 3, 7 , 4, 1, 6, 2], [3, 1, 6, 4, 7, 2, 5]}, 41159/3231315670302720000, .1273753610e-\ 13], [{[4, 7, 5, 1, 3, 6, 2]}, 24919/1938789402181632000, .1285286580e-13], [{[ 3, 7, 5, 1, 2, 6, 4], [4, 5, 1, 7, 3, 6, 2]}, 249637/19387894021816320000, .\ 1287592142e-13], [{[6, 2, 5, 1, 3, 7, 4], [4, 6, 3, 1, 5, 7, 2]}, 250009/ 19387894021816320000, .1289510865e-13], [{[4, 2, 7, 1, 5, 3, 6], [3, 7, 5, 1, 6 , 2, 4]}, 250729/19387894021816320000, .1293224523e-13], [{[3, 7, 1, 4, 5, 6, 2 ]}, 35837/2769699145973760000, .1293895045e-13], [{[4, 2, 7, 6, 3, 1, 5], [3, 4 , 7, 1, 5, 2, 6]}, 4657/359035074478080000, .1297087759e-13], [{[6, 3, 5, 1, 7, 4, 2], [5, 1, 3, 6, 2, 7, 4]}, 13987/1077105223434240000, .1298573222e-13], [{[ 4, 2, 7, 1, 5, 6, 3]}, 253117/19387894021816320000, .1305541487e-13], [{[4, 6, 2, 7, 1, 5, 3]}, 51067/3877578804363264000, .1316981616e-13], [{[6, 1, 4, 5, 2, 7, 3], [6, 1, 4, 3, 7, 5, 2]}, 257681/19387894021816320000, .1329081950e-13], [ {[4, 7, 3, 5, 1, 6, 2], [5, 7, 3, 1, 4, 6, 2]}, 258877/19387894021816320000, .\ 1335250748e-13], [{[4, 5, 1, 7, 3, 2, 6], [4, 7, 2, 1, 5, 6, 3]}, 258919/ 19387894021816320000, .1335467378e-13], [{[5, 2, 3, 7, 1, 4, 6], [5, 2, 3, 6, 1 , 7, 4]}, 43187/3231315670302720000, .1336514423e-13], [{[5, 1, 7, 4, 2, 3, 6]} , 37313/2769699145973760000, .1347186031e-13], [{[3, 5, 1, 6, 2, 7, 4], [5, 3, 7, 1, 6, 4, 2]}, 131213/9693947010908160000, .1353555986e-13], [{[5, 2, 6, 1, 7 , 3, 4], [3, 5, 7, 1, 2, 6, 4]}, 263161/19387894021816320000, .1357347011e-13], [{[4, 7, 2, 5, 3, 1, 6], [6, 3, 5, 1, 4, 7, 2]}, 5491/403914458787840000, .\ 1359446259e-13], [{[3, 4, 7, 1, 6, 2, 5], [4, 2, 7, 6, 1, 3, 5]}, 53/ 3883792872960000, .1364645380e-13], [{[4, 7, 1, 2, 5, 6, 3], [3, 4, 7, 1, 5, 6, 2]}, 29671/2154210446868480000, .1377349183e-13], [{[5, 4, 7, 1, 3, 6, 2], [3, 6, 1, 2, 5, 7, 4]}, 53699/3877578804363264000, .1384859024e-13], [{[5, 3, 2, 7, 4, 1, 6], [4, 7, 1, 5, 2, 3, 6]}, 29881/2154210446868480000, .1387097535e-13], [{[6, 4, 1, 5, 2, 7, 3], [3, 5, 7, 2, 4, 1, 6]}, 134839/9693947010908160000, .\ 1390960770e-13], [{[5, 7, 1, 4, 2, 6, 3], [3, 5, 7, 4, 1, 6, 2]}, 53959/ 3877578804363264000, .1391564240e-13], [{[5, 3, 6, 1, 7, 4, 2], [3, 5, 7, 2, 6, 1, 4]}, 3607/258505253624217600, .1395329476e-13], [{[3, 6, 1, 7, 2, 5, 4], [4, 2, 6, 7, 1, 5, 3]}, 271169/19387894021816320000, .1398651136e-13], [{[3, 7, 2, 6, 5, 1, 4], [2, 4, 5, 7, 1, 3, 6]}, 18113/1292526268121088000, .1401364169e-13 ], [{[4, 3, 1, 7, 5, 2, 6], [4, 7, 5, 1, 2, 6, 3]}, 1087/77551576087265280, .\ 1401647851e-13], [{[3, 1, 6, 5, 2, 7, 4], [6, 3, 7, 1, 4, 5, 2]}, 135953/ 9693947010908160000, .1402452477e-13], [{[3, 7, 5, 1, 6, 4, 2], [6, 3, 5, 2, 7, 1, 4]}, 90721/6462631340605440000, .1403778047e-13], [{[5, 3, 6, 1, 7, 2, 4], [ 4, 6, 2, 7, 1, 3, 5]}, 54707/3877578804363264000, .1410854628e-13], [{[5, 7, 1, 4, 3, 6, 2], [5, 1, 3, 4, 7, 2, 6]}, 39191/2769699145973760000, .1414991230e-13 ], [{[3, 1, 7, 5, 4, 2, 6], [6, 2, 7, 3, 4, 1, 5]}, 1411/99425097547776000, .\ 1419158779e-13], [{[3, 7, 2, 4, 5, 1, 6], [2, 5, 7, 4, 3, 1, 6]}, 137771/ 9693947010908160000, .1421206448e-13], [{[4, 2, 7, 6, 1, 5, 3], [3, 4, 6, 1, 7, 2, 5]}, 21409/1491376463216640000, .1435519503e-13], [{[3, 1, 7, 5, 2, 6, 4], [ 6, 3, 7, 1, 4, 2, 5]}, 70153/4846973505454080000, .1447356787e-13], [{[5, 1, 7, 3, 6, 4, 2], [5, 3, 7, 2, 4, 1, 6]}, 43/2967232020480000, .1449162037e-13], [{[ 6, 1, 5, 3, 2, 7, 4], [2, 5, 4, 7, 3, 1, 6]}, 18827/1292526268121088000, .\ 1456604826e-13], [{[5, 3, 6, 1, 2, 7, 4], [4, 5, 2, 7, 1, 3, 6]}, 142403/ 9693947010908160000, .1468988843e-13], [{[5, 1, 3, 6, 4, 7, 2], [6, 1, 5, 3, 7, 4, 2]}, 285569/19387894021816320000, .1472924288e-13], [{[3, 7, 4, 2, 5, 1, 6], [6, 4, 1, 3, 5, 7, 2]}, 286661/19387894021816320000, .1478556669e-13], [{[3, 7, 1, 6, 5, 2, 4], [3, 6, 1, 7, 5, 4, 2]}, 143393/9693947010908160000, .1479201401\ e-13], [{[5, 3, 6, 2, 7, 1, 4], [3, 5, 7, 1, 6, 4, 2]}, 19127/ 1292526268121088000, .1479815186e-13], [{[4, 6, 3, 7, 1, 5, 2], [5, 7, 3, 1, 6, 2, 4]}, 143701/9693947010908160000, .1482378641e-13], [{[5, 6, 1, 3, 7, 2, 4], [5, 2, 4, 1, 7, 6, 3]}, 48127/3231315670302720000, .1489393328e-13], [{[4, 5, 1 , 7, 2, 3, 6], [5, 3, 2, 7, 6, 1, 4]}, 289447/19387894021816320000, .1492926461\ e-13], [{[4, 7, 3, 6, 1, 5, 2], [5, 7, 3, 1, 6, 4, 2]}, 289453/ 19387894021816320000, .1492957408e-13], [{[5, 6, 2, 3, 7, 1, 4], [5, 2, 1, 7, 4 , 3, 6]}, 97147/6462631340605440000, .1503211229e-13], [{[6, 2, 5, 7, 4, 1, 3], [6, 2, 7, 5, 3, 1, 4]}, 36557/2423486752727040000, .1508446455e-13], [{[6, 3, 5 , 1, 2, 7, 4], [4, 5, 2, 7, 3, 1, 6]}, 293779/19387894021816320000, .1515270300\ e-13], [{[4, 5, 1, 3, 7, 2, 6], [5, 2, 4, 7, 6, 1, 3]}, 26783/ 1762535820165120000, .1519571954e-13], [{[3, 5, 1, 4, 7, 6, 2], [3, 7, 1, 4, 2, 6, 5]}, 147319/9693947010908160000, .1519700900e-13], [{[3, 1, 6, 4, 2, 7, 5], [6, 3, 7, 4, 1, 5, 2]}, 98911/6462631340605440000, .1530506612e-13], [{[3, 4, 7 , 2, 6, 1, 5], [2, 4, 7, 6, 1, 3, 5]}, 37153/2423486752727040000, .1533039121e-\ 13], [{[4, 7, 1, 2, 6, 5, 3], [3, 4, 7, 1, 6, 5, 2]}, 33031/2154210446868480000 , .1533322803e-13], [{[5, 6, 1, 3, 7, 4, 2], [5, 2, 1, 6, 4, 7, 3]}, 148717/ 9693947010908160000, .1534122271e-13], [{[4, 7, 1, 2, 6, 3, 5], [3, 4, 6, 1, 7, 5, 2]}, 99457/6462631340605440000, .1538955183e-13], [{[6, 4, 2, 1, 7, 5, 3], [ 4, 5, 1, 6, 2, 7, 3]}, 11071/718070148956160000, .1541771374e-13], [{[5, 3, 2, 7, 1, 6, 4]}, 18751/1211743376363520000, .1547439859e-13], [{[3, 6, 1, 2, 7, 5, 4], [3, 6, 2, 1, 7, 4, 5]}, 2311/149137646321664000, .1549575213e-13], [{[3, 6, 1, 2, 7, 4, 5]}, 13669/881267910082560000, .1551060676e-13], [{[3, 4, 7, 2, 5, 1, 6], [6, 4, 1, 2, 5, 7, 3]}, 150463/9693947010908160000, .1552133510e-13], [{ [3, 7, 1, 5, 6, 4, 2], [3, 7, 1, 6, 4, 5, 2]}, 25097/1615657835151360000, .\ 1553361080e-13], [{[5, 6, 1, 3, 4, 7, 2], [3, 7, 4, 5, 1, 2, 6]}, 1451/ 93211028951040000, .1556682741e-13], [{[3, 6, 7, 2, 5, 1, 4], [3, 2, 5, 7, 1, 4 , 6]}, 9151/587511940055040000, .1557585366e-13], [{[4, 5, 1, 6, 3, 7, 2], [3, 7, 5, 1, 2, 4, 6]}, 33577/2154210446868480000, .1558668516e-13], [{[5, 3, 2, 7, 1, 4, 6], [3, 5, 6, 2, 7, 1, 4]}, 20219/1292526268121088000, .1564300897e-13], [{[6, 3, 7, 1, 5, 4, 2], [4, 7, 2, 6, 5, 1, 3]}, 303727/19387894021816320000, .\ 1566580670e-13], [{[4, 3, 1, 7, 6, 2, 5]}, 304111/19387894021816320000, .\ 1568561287e-13], [{[3, 1, 7, 5, 2, 4, 6], [3, 7, 4, 6, 1, 5, 2]}, 33857/ 2154210446868480000, .1571666317e-13], [{[5, 6, 1, 4, 2, 7, 3], [3, 5, 7, 4, 1, 2, 6]}, 304921/19387894021816320000, .1572739152e-13], [{[4, 7, 3, 5, 1, 2, 6], [3, 2, 5, 7, 4, 1, 6]}, 101641/6462631340605440000, .1572749468e-13], [{[4, 5, 1, 3, 7, 6, 2], [3, 7, 4, 1, 2, 6, 5]}, 20381/1292526268121088000, .1576834491e\ -13], [{[5, 7, 3, 4, 1, 6, 2]}, 911/57702065541120000, .1578799635e-13], [{[6, 5, 1, 3, 7, 2, 4], [5, 2, 4, 1, 6, 7, 3]}, 103361/6462631340605440000, .\ 1599364014e-13], [{[3, 4, 6, 1, 5, 7, 2], [6, 3, 5, 2, 1, 7, 4]}, 809/ 50489307348480000, .1602319466e-13], [{[6, 1, 5, 3, 4, 7, 2], [6, 1, 4, 3, 5, 7 , 2]}, 155497/9693947010908160000, .1604062822e-13], [{[4, 7, 3, 2, 5, 1, 6], [ 2, 4, 5, 7, 3, 1, 6]}, 103933/6462631340605440000, .1608214898e-13], [{[3, 7, 1 , 6, 2, 5, 4], [6, 4, 2, 1, 7, 3, 5]}, 78301/4846973505454080000, .1615461688e-\ 13], [{[5, 7, 4, 1, 2, 6, 3], [6, 2, 7, 5, 1, 3, 4]}, 78499/4846973505454080000 , .1619546711e-13], [{[4, 2, 7, 5, 6, 1, 3], [6, 2, 7, 1, 4, 5, 3]}, 314737/ 19387894021816320000, .1623368684e-13], [{[3, 6, 1, 2, 4, 7, 5], [5, 4, 7, 3, 1 , 6, 2]}, 19693/1211743376363520000, .1625179092e-13], [{[4, 2, 7, 1, 3, 6, 5], [4, 6, 3, 7, 1, 2, 5]}, 315361/19387894021816320000, .1626587187e-13], [{[3, 7, 1, 6, 2, 4, 5], [6, 4, 1, 2, 7, 3, 5]}, 26437/1615657835151360000, .1636299433e\ -13], [{[5, 6, 1, 4, 3, 7, 2], [5, 1, 3, 4, 7, 6, 2]}, 45457/ 2769699145973760000, .1641225187e-13], [{[3, 4, 7, 5, 1, 6, 2], [5, 7, 1, 2, 4, 6, 3]}, 5899/359035074478080000, .1643014964e-13], [{[4, 7, 1, 5, 6, 3, 2], [5, 1, 2, 7, 4, 3, 6]}, 53239/3231315670302720000, .1647595142e-13], [{[6, 5, 1, 3, 7, 4, 2], [3, 7, 4, 6, 2, 1, 5]}, 160033/9693947010908160000, .1650854908e-13], [{[5, 6, 2, 4, 7, 1, 3], [3, 6, 7, 4, 1, 5, 2]}, 321119/19387894021816320000, .\ 1656286132e-13], [{[3, 4, 7, 5, 1, 2, 6], [3, 7, 4, 2, 1, 6, 5]}, 323369/ 19387894021816320000, .1667891312e-13], [{[4, 6, 5, 1, 3, 7, 2], [4, 7, 5, 1, 3 , 2, 6]}, 162269/9693947010908160000, .1673920848e-13], [{[4, 1, 5, 2, 6, 7, 3] , [6, 4, 1, 7, 5, 3, 2]}, 109129/6462631340605440000, .1688615585e-13], [{[6, 2 , 4, 1, 3, 7, 5], [4, 6, 3, 5, 1, 7, 2]}, 65753/3877578804363264000, .\ 1695723113e-13], [{[3, 1, 6, 4, 7, 5, 2], [5, 3, 6, 4, 1, 7, 2]}, 2939/ 173106196623360000, .1697801729e-13], [{[6, 1, 5, 4, 3, 7, 2], [2, 7, 5, 4, 3, 1, 6]}, 329269/19387894021816320000, .1698322673e-13], [{[6, 2, 7, 1, 4, 3, 5], [5, 7, 1, 3, 2, 6, 4]}, 166241/9693947010908160000, .1714894870e-13], [{[6, 2, 4, 3, 1, 7, 5], [5, 2, 4, 3, 7, 1, 6]}, 2851/165708495912960000, .1720491146e-\ 13], [{[5, 6, 2, 3, 1, 7, 4], [5, 3, 4, 7, 1, 2, 6]}, 9271/538552611717120000, .1721465981e-13], [{[5, 6, 1, 4, 7, 2, 3], [5, 2, 1, 4, 7, 6, 3]}, 8353/ 484697350545408000, .1723343441e-13], [{[3, 1, 6, 2, 5, 7, 4], [6, 3, 5, 7, 1, 4, 2]}, 83917/4846973505454080000, .1731327805e-13], [{[5, 3, 7, 4, 2, 1, 6], [ 5, 1, 7, 4, 6, 3, 2]}, 48077/2769699145973760000, .1735820299e-13], [{[5, 2, 1, 7, 3, 4, 6], [3, 2, 5, 6, 1, 7, 4]}, 18703/1077105223434240000, .1736413453e-13 ], [{[4, 6, 5, 1, 2, 7, 3], [4, 3, 1, 7, 5, 6, 2]}, 169181/9693947010908160000, .1745223074e-13], [{[5, 6, 1, 3, 2, 7, 4], [2, 6, 7, 1, 4, 3, 5]}, 10271/ 587511940055040000, .1748219789e-13], [{[5, 1, 2, 7, 3, 6, 4], [4, 2, 7, 1, 3, 5, 6]}, 169727/9693947010908160000, .1750855455e-13], [{[4, 2, 6, 7, 5, 1, 3], [6, 2, 7, 1, 5, 3, 4]}, 85091/4846973505454080000, .1755549105e-13], [{[5, 2, 3 , 4, 7, 1, 6], [5, 7, 1, 4, 3, 2, 6]}, 6947/395671306567680000, .1755750262e-13 ], [{[5, 7, 4, 3, 1, 6, 2]}, 2381/135579678474240000, .1756162890e-13], [{[2, 3 , 6, 7, 4, 1, 5], [4, 5, 1, 3, 6, 7, 2]}, 37889/2154210446868480000, .\ 1758834661e-13], [{[5, 4, 7, 1, 3, 2, 6], [3, 7, 1, 2, 5, 6, 4]}, 170693/ 9693947010908160000, .1760820436e-13], [{[4, 3, 7, 6, 1, 2, 5], [5, 6, 2, 1, 7, 4, 3]}, 1753/99425097547776000, .1763136314e-13], [{[3, 7, 2, 4, 1, 5, 6], [3, 5, 7, 4, 2, 1, 6]}, 24461/1384849572986880000, .1766329028e-13], [{[6, 1, 4, 5, 7, 3, 2], [3, 7, 4, 5, 2, 1, 6]}, 3893/220316977520640000, .1766999549e-13], [{ [3, 6, 1, 4, 5, 2, 7]}, 6613/372844115804160000, .1773663502e-13], [{[5, 4, 6, 1, 3, 7, 2], [6, 3, 1, 2, 5, 7, 4]}, 28709/1615657835151360000, .1776923268e-13 ], [{[4, 3, 7, 6, 1, 5, 2], [3, 1, 6, 7, 2, 4, 5]}, 346393/19387894021816320000 , .1786645830e-13], [{[4, 6, 7, 1, 3, 5, 2], [4, 7, 5, 1, 6, 2, 3]}, 347371/ 19387894021816320000, .1791690215e-13], [{[4, 7, 3, 5, 2, 1, 6], [6, 5, 3, 1, 4 , 7, 2]}, 38719/2154210446868480000, .1797363858e-13], [{[5, 7, 3, 2, 1, 6, 4], [6, 2, 7, 1, 5, 4, 3]}, 87121/4846973505454080000, .1797430910e-13], [{[3, 7, 1 , 6, 5, 4, 2]}, 7757/430842089373696000, .1800427626e-13], [{[3, 1, 6, 7, 2, 5, 4], [4, 5, 2, 1, 7, 3, 6]}, 13973/775515760872652800, .1801768669e-13], [{[6, 3 , 7, 4, 2, 1, 5], [5, 7, 1, 4, 6, 3, 2]}, 12497/692424786493440000, .1804816963\ e-13], [{[3, 6, 1, 5, 4, 2, 7]}, 87613/4846973505454080000, .1807581574e-13], [ {[4, 5, 6, 1, 3, 7, 2], [4, 7, 5, 1, 2, 3, 6]}, 70331/3877578804363264000, .\ 1813786477e-13], [{[4, 1, 2, 7, 5, 3, 6], [6, 5, 2, 7, 3, 1, 4]}, 43991/ 2423486752727040000, .1815194572e-13], [{[4, 5, 1, 7, 6, 2, 3], [5, 2, 1, 7, 6, 3, 4]}, 88381/4846973505454080000, .1823426513e-13], [{[5, 6, 2, 1, 3, 7, 4], [ 4, 5, 3, 1, 7, 6, 2]}, 88549/4846973505454080000, .1826892594e-13], [{[4, 5, 3, 1, 7, 2, 6], [3, 1, 6, 7, 5, 2, 4]}, 277/15146792204544000, .1828770054e-13], [ {[3, 1, 6, 4, 5, 7, 2], [6, 3, 5, 4, 1, 7, 2]}, 88769/4846973505454080000, .\ 1831431509e-13], [{[5, 7, 2, 3, 4, 1, 6], [2, 5, 4, 3, 7, 1, 6]}, 29671/ 1615657835151360000, .1836465578e-13], [{[6, 5, 1, 4, 7, 2, 3], [3, 6, 7, 4, 2, 1, 5]}, 71249/3877578804363264000, .1837461044e-13], [{[6, 5, 1, 2, 4, 7, 3], [ 3, 4, 7, 5, 2, 1, 6]}, 357311/19387894021816320000, .1842959321e-13], [{[3, 6, 2, 4, 7, 5, 1]}, 6401/346212393246720000, .1848865068e-13], [{[5, 6, 1, 2, 7, 4 , 3], [5, 4, 1, 2, 7, 6, 3]}, 71737/3877578804363264000, .1850046217e-13], [{[4 , 3, 7, 6, 2, 1, 5], [6, 5, 2, 1, 7, 4, 3]}, 119659/6462631340605440000, .\ 1851552312e-13], [{[6, 5, 1, 4, 3, 7, 2], [5, 1, 3, 4, 6, 7, 2]}, 359353/ 19387894021816320000, .1853491666e-13], [{[5, 7, 4, 2, 6, 1, 3], [6, 4, 7, 3, 1 , 5, 2]}, 32861/1762535820165120000, .1864416009e-13], [{[2, 4, 3, 7, 5, 1, 6], [4, 1, 3, 6, 5, 7, 2]}, 8033/430842089373696000, .1864488219e-13], [{[4, 2, 1, 5, 7, 3, 6], [5, 7, 4, 1, 6, 2, 3]}, 36259/1938789402181632000, .1870187652e-13 ], [{[5, 4, 6, 1, 2, 7, 3], [6, 3, 1, 2, 7, 5, 4]}, 24197/1292526268121088000, .1872070270e-13], [{[3, 1, 6, 2, 7, 4, 5], [5, 3, 7, 6, 1, 4, 2]}, 22717/ 1211743376363520000, .1874736883e-13], [{[4, 7, 2, 5, 3, 6, 1], [1, 5, 3, 7, 4, 2, 6]}, 72907/3877578804363264000, .1880219685e-13], [{[5, 7, 1, 4, 2, 3, 6], [ 3, 5, 6, 4, 1, 7, 2]}, 3721/197835653283840000, .1880854102e-13], [{[5, 2, 4, 6 , 1, 3, 7], [5, 2, 6, 3, 1, 4, 7]}, 91307/4846973505454080000, .1883794081e-13] , [{[5, 1, 2, 7, 3, 4, 6], [6, 5, 3, 2, 7, 1, 4]}, 1627/86168417874739200, .\ 1888162786e-13], [{[3, 2, 5, 7, 6, 1, 4], [4, 5, 3, 7, 1, 2, 6]}, 2861/ 151467922045440000, .1888848782e-13], [{[3, 6, 2, 5, 1, 4, 7], [3, 5, 7, 2, 4, 6, 1]}, 14671/775515760872652800, .1891773287e-13], [{[4, 1, 2, 5, 7, 3, 6], [5 , 7, 4, 1, 6, 3, 2]}, 367573/19387894021816320000, 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1]}, 186559/9693947010908160000, .\ 1924489579e-13], [{[1, 5, 3, 7, 2, 6, 4]}, 24881/1292526268121088000, .\ 1924989891e-13], [{[4, 5, 6, 2, 1, 7, 3], [3, 1, 6, 2, 7, 5, 4], [5, 4, 7, 1, 2 , 3, 6], [5, 3, 6, 7, 1, 4, 2]}, 23329/1211743376363520000, .1925242626e-13], [ {[5, 6, 1, 2, 3, 7, 4], [2, 6, 7, 1, 3, 4, 5]}, 62297/3231315670302720000, .\ 1927914396e-13], [{[5, 7, 1, 2, 6, 3, 4], [3, 4, 6, 7, 1, 5, 2]}, 93589/ 4846973505454080000, .1930875007e-13], [{[5, 1, 2, 6, 7, 4, 3], [6, 5, 1, 2, 7, 4, 3]}, 374483/19387894021816320000, .1931530055e-13], [{[3, 1, 6, 7, 4, 5, 2], [4, 5, 2, 3, 7, 1, 6]}, 34061/1762535820165120000, .1932499732e-13], [{[6, 5, 2 , 3, 1, 7, 4], [5, 3, 4, 7, 2, 1, 6]}, 124951/6462631340605440000, .1933438462e\ -13], [{[2, 7, 6, 1, 4, 3, 5], [4, 7, 2, 3, 1, 5, 6]}, 1423/73438992506880000, .1937662748e-13], [{[5, 1, 3, 6, 4, 2, 7], [6, 2, 5, 3, 7, 4, 1]}, 14513/ 745688231608320000, .1946255739e-13], [{[6, 5, 1, 4, 7, 3, 2], [5, 1, 2, 4, 6, 7, 3]}, 379543/19387894021816320000, .1957628815e-13], [{[5, 7, 1, 2, 3, 6, 4], [6, 2, 7, 1, 3, 4, 5]}, 15217/775515760872652800, .1962178046e-13], [{[3, 2, 5, 6, 7, 1, 4], [2, 6, 7, 1, 5, 4, 3]}, 126869/6462631340605440000, .1963116776e-\ 13], [{[2, 4, 3, 6, 7, 1, 5], [5, 4, 7, 2, 3, 1, 6]}, 127093/ 6462631340605440000, .1966582856e-13], [{[5, 2, 3, 6, 1, 4, 7]}, 381713/ 19387894021816320000, .1968821366e-13], [{[4, 6, 5, 2, 7, 1, 3], [5, 2, 3, 1, 7 , 4, 6]}, 76631/3877578804363264000, .1976258997e-13], [{[5, 7, 3, 2, 4, 1, 6], [2, 4, 5, 3, 7, 1, 6]}, 79/3989278605312000, .1980307916e-13], [{[4, 3, 1, 5, 7 , 6, 2], [3, 7, 2, 1, 4, 6, 5]}, 487/24479664168960000, .1989406377e-13], [{[6, 4, 7, 2, 5, 1, 3]}, 387103/19387894021816320000, .1996622220e-13], [{[5, 3, 4, 6, 1, 7, 2], [5, 7, 2, 3, 1, 4, 6]}, 129053/6462631340605440000, .1996911060e-\ 13], [{[5, 7, 4, 1, 3, 2, 6], [4, 6, 5, 3, 1, 7, 2]}, 387187/ 19387894021816320000, .1997055480e-13], [{[4, 1, 2, 7, 5, 6, 3], [4, 6, 5, 1, 7 , 3, 2]}, 15511/775515760872652800, .2000088300e-13], [{[4, 5, 1, 6, 7, 3, 2], [3, 4, 6, 7, 2, 1, 5]}, 64633/3231315670302720000, .2000206931e-13], [{[7, 4, 2 , 6, 1, 5, 3]}, 5969/298275292643328000, .2001171450e-13], [{[5, 7, 3, 4, 1, 2, 6], [3, 2, 5, 4, 7, 1, 6]}, 13883/692424786493440000, .2004983107e-13], [{[4, 1 , 2, 7, 6, 3, 5], [6, 5, 2, 7, 1, 3, 4]}, 388819/19387894021816320000, .\ 2005473104e-13], [{[4, 6, 7, 1, 2, 5, 3], [4, 3, 1, 7, 2, 6, 5]}, 194507/ 9693947010908160000, .2006478886e-13], [{[2, 7, 6, 1, 3, 5, 4], [6, 5, 2, 1, 3, 7, 4]}, 6079/302935844090880000, .2006695516e-13], [{[1, 5, 4, 7, 2, 3, 6], [1, 5, 6, 3, 2, 7, 4]}, 194609/9693947010908160000, .2007531089e-13], [{[4, 6, 5, 1 , 7, 2, 3], [4, 6, 7, 1, 3, 2, 5]}, 38989/1938789402181632000, .2010997169e-13] , [{[3, 7, 4, 2, 6, 5, 1], [1, 4, 7, 5, 2, 3, 6]}, 195179/9693947010908160000, .2013411047e-13], [{[7, 3, 1, 6, 5, 2, 4], [1, 4, 5, 7, 2, 6, 3]}, 97817/ 4846973505454080000, .2018104697e-13], [{[1, 5, 3, 6, 2, 7, 4], [1, 5, 3, 7, 2, 4, 6]}, 196117/9693947010908160000, .2023087188e-13], [{[7, 4, 1, 6, 3, 5, 2], [7, 4, 2, 6, 3, 1, 5]}, 392983/19387894021816320000, .2026950424e-13], [{[5, 4, 7, 3, 1, 2, 6], [3, 7, 1, 2, 4, 6, 5]}, 1747/86168417874739200, .2027424946e-13 ], [{[2, 4, 3, 7, 1, 5, 6], [4, 1, 2, 6, 5, 7, 3]}, 65803/3231315670302720000, .2036415093e-13], [{[2, 4, 3, 7, 1, 6, 5], [5, 1, 3, 2, 7, 6, 4]}, 21979/ 1077105223434240000, .2040562010e-13], [{[6, 2, 3, 7, 4, 5, 1], [7, 2, 3, 5, 6, 1, 4]}, 24757/1211743376363520000, .2043089361e-13], [{[6, 2, 3, 5, 7, 4, 1], [ 3, 7, 4, 2, 5, 6, 1]}, 139/6778983923712000, .2050454781e-13], [{[7, 1, 4, 5, 2 , 6, 3], [1, 6, 4, 3, 7, 5, 2]}, 12431/605871688181760000, .2051754562e-13], [{ [4, 2, 6, 3, 7, 5, 1], [5, 3, 6, 1, 4, 2, 7]}, 397883/19387894021816320000, .\ 2052223927e-13], [{[3, 7, 2, 5, 4, 6, 1], [6, 2, 4, 3, 7, 5, 1]}, 199169/ 9693947010908160000, .2054570752e-13], [{[1, 4, 5, 7, 2, 3, 6], [1, 5, 6, 2, 3, 7, 4]}, 659/32046105821184000, .2056412107e-13], [{[5, 3, 6, 2, 7, 4, 1], [1, 4 , 6, 2, 7, 5, 3]}, 3079/149137646321664000, .2064535733e-13], [{[6, 2, 4, 5, 1, 3, 7], [5, 2, 6, 3, 4, 1, 7]}, 20017/969394701090816000, .2064896783e-13], [{[1 , 6, 3, 7, 5, 2, 4]}, 989/47871343263744000, .2065954144e-13], [{[5, 7, 3, 6, 1 , 2, 4], [3, 2, 5, 1, 7, 4, 6]}, 4009/193878940218163200, .2067785184e-13], [{[ 3, 1, 7, 2, 5, 4, 6], [5, 1, 3, 2, 7, 4, 6]}, 16717/807828917575680000, .\ 2069373804e-13], [{[7, 2, 3, 5, 1, 6, 4], [1, 6, 4, 7, 3, 2, 5]}, 80393/ 3877578804363264000, .2073278302e-13], [{[1, 4, 5, 7, 3, 2, 6], [1, 6, 5, 2, 3, 7, 4]}, 405283/19387894021816320000, .2090392074e-13], [{[6, 5, 3, 1, 2, 7, 4], [4, 5, 3, 7, 2, 1, 6]}, 405709/19387894021816320000, .2092589322e-13], [{[4, 5, 2, 7, 3, 6, 1], [1, 5, 3, 7, 6, 2, 4]}, 135689/6462631340605440000, .2099593693\ e-13], [{[2, 7, 6, 1, 3, 4, 5], [4, 7, 3, 2, 1, 5, 6]}, 67883/ 3231315670302720000, .2100785158e-13], [{[3, 6, 1, 4, 2, 5, 7], [5, 3, 7, 4, 2, 6, 1]}, 58189/2769699145973760000, .2100914104e-13], [{[3, 4, 6, 5, 1, 7, 2], [ 5, 7, 1, 2, 4, 3, 6]}, 135787/6462631340605440000, .2101110103e-13], [{[5, 2, 6 , 4, 3, 7, 1], [1, 6, 3, 4, 7, 5, 2]}, 5309/251790831452160000, .2108496155e-13 ], [{[5, 7, 3, 6, 2, 1, 4], [6, 5, 3, 7, 1, 4, 2]}, 81821/3877578804363264000, .2110105407e-13], [{[5, 7, 4, 2, 1, 3, 6], [5, 4, 6, 3, 1, 7, 2]}, 13697/ 646263134060544000, .2119415340e-13], [{[5, 2, 1, 3, 6, 7, 4], [3, 2, 4, 7, 1, 5, 6]}, 17137/807828917575680000, .2121365010e-13], [{[5, 3, 2, 7, 4, 6, 1], [4 , 2, 7, 3, 6, 5, 1]}, 205721/9693947010908160000, .2122159320e-13], [{[6, 4, 2, 1, 3, 7, 5], [4, 5, 3, 6, 1, 7, 2]}, 412303/19387894021816320000, .2126600236e-\ 13], [{[6, 2, 4, 1, 5, 3, 7], [4, 2, 6, 3, 5, 1, 7]}, 12497/587511940055040000, .2127105706e-13], [{[4, 6, 7, 3, 1, 2, 5], [3, 2, 4, 7, 1, 6, 5]}, 137659/ 6462631340605440000, .2130076632e-13], [{[4, 1, 3, 6, 5, 2, 7], [6, 2, 5, 7, 3, 4, 1]}, 103391/4846973505454080000, .2133104295e-13], [{[5, 7, 4, 1, 2, 3, 6], [4, 3, 2, 5, 7, 1, 6]}, 3761/176253582016512000, .2133857342e-13], [{[3, 7, 2, 4, 6, 5, 1], [1, 5, 7, 4, 2, 3, 6]}, 27637/1292526268121088000, .2138215732e-13 ], [{[3, 5, 7, 6, 2, 1, 4], [5, 4, 6, 1, 7, 3, 2]}, 138223/6462631340605440000, .2138803727e-13], [{[6, 4, 2, 3, 1, 7, 5], [5, 3, 4, 2, 7, 1, 6]}, 27667/ 1292526268121088000, .2140536768e-13], [{[7, 3, 1, 6, 4, 5, 2], [3, 7, 2, 5, 6, 4, 1]}, 415279/19387894021816320000, .2141950021e-13], [{[6, 2, 5, 4, 1, 3, 7], [5, 2, 6, 4, 3, 1, 7]}, 59491/2769699145973760000, .2147922820e-13], [{[7, 3, 6 , 1, 4, 2, 5], [7, 5, 1, 3, 6, 2, 4]}, 23141/1077105223434240000, .2148443764e-\ 13], [{[3, 5, 7, 6, 1, 4, 2], [5, 7, 1, 6, 2, 4, 3]}, 17359/807828917575680000, .2148846076e-13], [{[6, 4, 7, 3, 1, 2, 5], [3, 2, 4, 6, 1, 7, 5]}, 2573/ 119678358159360000, .2149929227e-13], [{[4, 7, 5, 3, 2, 1, 6], [6, 5, 4, 1, 3, 7, 2]}, 69499/3231315670302720000, .2150795747e-13], [{[5, 2, 3, 6, 4, 1, 7], [ 6, 2, 3, 5, 1, 4, 7]}, 32099/1491376463216640000, .2152306999e-13], [{[5, 7, 3, 2, 1, 4, 6], [2, 7, 1, 6, 3, 4, 5]}, 27821/1292526268121088000, .2152451419e-13 ], [{[7, 3, 6, 1, 4, 5, 2], [7, 5, 2, 3, 6, 1, 4]}, 417701/19387894021816320000 , .2154442352e-13], [{[3, 5, 7, 6, 1, 2, 4], [5, 4, 6, 1, 7, 2, 3]}, 199/ 9206027550720000, .2161627248e-13], [{[4, 2, 7, 6, 3, 5, 1], [3, 4, 6, 1, 5, 2, 7]}, 209557/9693947010908160000, .2161730405e-13], [{[6, 2, 5, 1, 4, 3, 7], [1, 7, 5, 3, 2, 6, 4]}, 83827/3877578804363264000, .2161838720e-13], [{[4, 7, 3, 5, 2, 6, 1], [1, 3, 5, 7, 4, 2, 6]}, 420227/19387894021816320000, .2167471101e-13] , [{[7, 4, 1, 6, 2, 3, 5]}, 8093/372844115804160000, .2170612236e-13], [{[3, 7, 2, 4, 5, 6, 1], [1, 5, 7, 4, 3, 2, 6]}, 20099/923233048657920000, .2177023454e-\ 13], [{[7, 1, 3, 6, 4, 2, 5], [1, 4, 7, 5, 3, 6, 2]}, 32477/1491376463216640000 , .2177652712e-13], [{[4, 5, 1, 6, 3, 2, 7], [1, 4, 6, 7, 3, 2, 5]}, 84569/ 3877578804363264000, .2180974373e-13], [{[6, 5, 3, 2, 1, 7, 4], [2, 7, 6, 1, 5, 4, 3]}, 35261/1615657835151360000, .2182454678e-13], [{[3, 5, 7, 4, 2, 6, 1], [ 3, 6, 2, 4, 1, 5, 7]}, 8647/395671306567680000, .2185399815e-13], [{[3, 1, 6, 5 , 2, 4, 7], [6, 3, 7, 2, 4, 5, 1]}, 84803/3877578804363264000, .2187009066e-13] , [{[5, 2, 1, 6, 4, 3, 7], [7, 4, 1, 5, 6, 2, 3]}, 106231/4846973505454080000, .2191697559e-13], [{[5, 3, 6, 2, 4, 7, 1], [1, 4, 6, 3, 7, 5, 2]}, 212651/ 9693947010908160000, .2193647229e-13], [{[6, 5, 4, 1, 2, 7, 3], [4, 3, 1, 5, 6, 7, 2]}, 47353/2154210446868480000, .2198160355e-13], [{[3, 7, 2, 6, 4, 5, 1], [ 1, 5, 7, 3, 2, 4, 6]}, 426667/19387894021816320000, .2200687705e-13], [{[3, 2, 5, 1, 7, 6, 4]}, 213509/9693947010908160000, .2202498113e-13], [{[7, 4, 1, 2, 5 , 6, 3], [3, 4, 7, 2, 5, 6, 1]}, 427213/19387894021816320000, .2203503895e-13], [{[3, 1, 6, 4, 5, 2, 7], [6, 2, 7, 4, 3, 5, 1]}, 61129/2769699145973760000, .\ 2207062817e-13], [{[7, 5, 3, 1, 6, 2, 4], [7, 3, 6, 1, 5, 2, 4]}, 17837/ 807828917575680000, .2208017021e-13], [{[4, 3, 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217387/9693947010908160000, .2242502458e-13], [{[5, 3, 2, 7, 6, 4, 1], [4, 5, 1, 6, 2, 3, 7]}, 435229/19387894021816320000, .2244849283e-13], [{[5, 1, 3, 4, 6, 2, 7], [1, 3, 7, 4, 5, 2, 6]}, 31091/1384849572986880000, .2245081387e\ -13], [{[3, 1, 6, 5, 4, 2, 7], [6, 2, 7, 3, 4, 5, 1]}, 435739/ 19387894021816320000, .2247479791e-13], [{[7, 1, 5, 3, 2, 6, 4], [2, 5, 4, 7, 3 , 6, 1]}, 48431/2154210446868480000, .2248201891e-13], [{[5, 4, 7, 3, 2, 1, 6], [6, 5, 4, 2, 1, 7, 3]}, 12127/538552611717120000, .2251776286e-13], [{[3, 5, 6, 2, 4, 7, 1], [1, 4, 7, 3, 6, 5, 2]}, 109283/4846973505454080000, .2254664687e-\ 13], [{[4, 1, 2, 5, 6, 7, 3], [6, 5, 1, 7, 4, 3, 2]}, 24307/1077105223434240000 , .2256696883e-13], [{[4, 2, 1, 5, 6, 7, 3], [5, 6, 1, 7, 4, 3, 2]}, 6637/ 293755970027520000, .2259358337e-13], [{[3, 5, 6, 7, 1, 2, 4], [4, 5, 6, 1, 7, 2, 3]}, 39857/1762535820165120000, .2261344112e-13], [{[5, 7, 3, 4, 2, 1, 6], [ 6, 5, 3, 4, 1, 7, 2]}, 438887/19387894021816320000, .2263716727e-13], [{[3, 4, 7, 2, 6, 5, 1], [1, 4, 7, 6, 2, 3, 5]}, 33793/1491376463216640000, .2265893343e\ -13], [{[7, 2, 4, 1, 5, 3, 6], [4, 2, 6, 3, 5, 7, 1]}, 439337/ 19387894021816320000, .2266037763e-13], [{[4, 3, 7, 5, 2, 6, 1], [1, 3, 6, 7, 4 , 2, 5]}, 17597/775515760872652800, .2269070583e-13], [{[5, 7, 4, 3, 1, 2, 6], [3, 2, 4, 5, 7, 1, 6]}, 1129/49712548773888000, .2271056359e-13], [{[7, 1, 3, 6 , 5, 2, 4], [6, 2, 5, 1, 3, 4, 7]}, 44141/1938789402181632000, .2276730002e-13] , [{[4, 7, 6, 1, 5, 3, 2]}, 44311/1938789402181632000, .2285498360e-13], [{[5, 2, 4, 6, 3, 7, 1], [6, 4, 1, 3, 5, 2, 7]}, 17047/745688231608320000, .\ 2286076041e-13], [{[6, 2, 7, 3, 5, 4, 1], [1, 6, 4, 2, 3, 7, 5]}, 8527/ 372844115804160000, .2287014771e-13], [{[7, 5, 1, 3, 6, 4, 2], [3, 7, 4, 6, 2, 5, 1]}, 444503/19387894021816320000, .2292683256e-13], [{[7, 4, 1, 2, 6, 3, 5], [7, 3, 1, 6, 2, 4, 5]}, 3109/135579678474240000, .2293116516e-13], [{[3, 5, 1, 4, 2, 7, 6]}, 21191/923233048657920000, .2295303448e-13], [{[6, 2, 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113833/4846973505454080000, .2348537698e-13], [{[7, 1, 4, 6, 3, 5, 2], [1, 4, 6, 3, 5, 7, 2]}, 455437/ 19387894021816320000, .2349079273e-13], [{[1, 6, 3, 4, 5, 7, 2], [1, 7, 3, 4, 5 , 2, 6]}, 57149/2423486752727040000, .2358131314e-13], [{[6, 7, 3, 1, 5, 2, 4]} , 41623/1762535820165120000, .2361540658e-13], [{[7, 1, 4, 2, 6, 3, 5], [1, 5, 7, 3, 6, 4, 2]}, 458153/19387894021816320000, .2363088015e-13], [{[6, 2, 5, 7, 4, 3, 1], [4, 7, 5, 3, 2, 6, 1]}, 92017/3877578804363264000, .2373052996e-13], [{[6, 4, 1, 5, 2, 3, 7], [7, 1, 4, 2, 6, 5, 3]}, 461611/19387894021816320000, .\ 2380923887e-13], [{[7, 5, 1, 2, 4, 6, 3], [3, 4, 7, 5, 2, 6, 1]}, 46187/ 1938789402181632000, .2382259772e-13], [{[6, 3, 5, 7, 2, 4, 1], [4, 1, 3, 6, 2, 5, 7]}, 527/22031697752064000, .2392008124e-13], [{[7, 1, 4, 5, 3, 2, 6]}, 231943/9693947010908160000, .2392658014e-13], [{[7, 1, 4, 5, 2, 3, 6]}, 42223/ 1762535820165120000, .2395582519e-13], [{[5, 7, 1, 2, 3, 4, 6], [2, 7, 1, 6, 5, 4, 3]}, 1613/67319076464640000, .2396051884e-13], [{[6, 1, 4, 5, 3, 2, 7], [6, 2, 3, 5, 4, 7, 1]}, 464887/19387894021816320000, .2397821029e-13], [{[4, 2, 7, 5, 6, 3, 1], [1, 6, 2, 7, 4, 3, 5]}, 23293/969394701090816000, .2402839625e-13] , [{[3, 6, 7, 4, 2, 5, 1], [1, 3, 7, 4, 2, 6, 5]}, 66613/2769699145973760000, .\ 2405062662e-13], [{[6, 2, 4, 5, 3, 1, 7], [7, 1, 4, 3, 5, 2, 6]}, 116927/ 4846973505454080000, .2412371346e-13], [{[4, 1, 5, 2, 3, 7, 6], [6, 7, 3, 1, 5, 4, 2]}, 234569/9693947010908160000, .2419747083e-13], [{[1, 5, 3, 6, 4, 7, 2], [1, 7, 3, 5, 2, 4, 6]}, 47027/1938789402181632000, .2425585778e-13], [{[7, 1, 3 , 6, 2, 5, 4], [7, 4, 2, 1, 5, 3, 6]}, 94117/3877578804363264000, .2427210503e-\ 13], [{[5, 7, 4, 2, 3, 6, 1], [6, 2, 7, 5, 3, 4, 1]}, 36299/1491376463216640000 , .2433926034e-13], [{[6, 4, 2, 1, 5, 3, 7], [1, 7, 3, 6, 2, 5, 4]}, 4937/ 201957229393920000, .2444577010e-13], [{[6, 1, 5, 3, 4, 2, 7], [6, 2, 4, 3, 5, 7, 1]}, 237221/9693947010908160000, .2447104360e-13], [{[7, 5, 4, 1, 2, 6, 3], [4, 3, 1, 5, 6, 2, 7]}, 118649/4846973505454080000, .2447898671e-13], [{[4, 3, 7, 6, 2, 5, 1], [1, 3, 6, 7, 2, 4, 5]}, 94981/3877578804363264000, .2449492449e\ -13], [{[6, 3, 7, 4, 5, 1, 2], [2, 1, 6, 4, 3, 7, 5]}, 158429/ 6462631340605440000, .2451462750e-13], [{[4, 6, 3, 2, 5, 1, 7], [1, 6, 3, 7, 5, 4, 2]}, 52817/2154210446868480000, .2451803169e-13], [{[6, 7, 3, 1, 4, 2, 5], [ 4, 6, 3, 5, 7, 1, 2]}, 59489/2423486752727040000, .2454686411e-13], [{[4, 5, 2, 7, 6, 3, 1], [7, 3, 6, 1, 2, 5, 4]}, 127/5170105072484352, .2456429767e-13], [{ [7, 5, 1, 3, 2, 6, 4], [5, 3, 4, 1, 6, 2, 7]}, 2209/89758768619520000, .\ 2461040892e-13], [{[6, 5, 3, 2, 7, 4, 1], [1, 4, 5, 2, 6, 7, 3]}, 43469/ 1762535820165120000, .2466276118e-13], [{[5, 6, 2, 3, 4, 7, 1], [1, 5, 4, 3, 7, 6, 2]}, 239573/9693947010908160000, .2471366923e-13], [{[6, 2, 4, 3, 5, 1, 7]}, 159937/6462631340605440000, .2474796899e-13], [{[5, 4, 7, 3, 2, 6, 1], [7, 5, 4 , 2, 1, 6, 3]}, 43651/1762535820165120000, .2476602149e-13], [{[4, 1, 3, 5, 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3, 7, 4, 5]}, 155189/ 4846973505454080000, .3201771163e-13], [{[5, 2, 3, 4, 1, 6, 7]}, 23887/ 745688231608320000, .3203349468e-13], [{[1, 3, 4, 5, 7, 6, 2], [7, 1, 6, 5, 4, 2, 3]}, 124567/3877578804363264000, .3212494350e-13], [{[6, 5, 3, 4, 2, 7, 1], [1, 3, 5, 4, 6, 7, 2]}, 1589/49458913320960000, .3212767716e-13], [{[1, 5, 4, 3 , 2, 7, 6]}, 624067/19387894021816320000, .3218848831e-13], [{[4, 3, 7, 5, 6, 2 , 1], [1, 2, 6, 7, 4, 3, 5]}, 312373/9693947010908160000, .3222351016e-13], [{[ 6, 7, 5, 3, 1, 4, 2], [6, 7, 5, 2, 4, 1, 3]}, 313091/9693947010908160000, .\ 3229757700e-13], [{[7, 6, 1, 3, 5, 4, 2], [1, 2, 5, 6, 4, 7, 3]}, 9637/ 298275292643328000, .3230907902e-13], [{[5, 3, 6, 7, 4, 2, 1], [4, 3, 1, 5, 2, 6, 7]}, 125659/3877578804363264000, .3240656253e-13], [{[2, 4, 3, 6, 5, 7, 1]}, 62873/1938789402181632000, .3242899921e-13], [{[6, 7, 5, 1, 3, 2, 4]}, 315877/ 9693947010908160000, .3258497283e-13], [{[6, 5, 4, 1, 3, 2, 7], [4, 6, 5, 3, 2, 1, 7]}, 633713/19387894021816320000, 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663331/19387894021816320000, .3421366958e-13], [{[1, 3, 5 , 4, 6, 2, 7]}, 221317/6462631340605440000, .3424564830e-13], [{[1, 3, 2, 7, 5, 6, 4]}, 665143/19387894021816320000, .3430712997e-13], [{[1, 3, 5, 2, 6, 4, 7]} , 333629/9693947010908160000, .3441621866e-13], [{[6, 7, 4, 5, 1, 2, 3]}, 1979/ 57360633200640000, .3450101384e-13], [{[6, 7, 4, 5, 1, 3, 2], [6, 7, 4, 5, 2, 1 , 3]}, 671731/19387894021816320000, .3464692964e-13], [{[4, 7, 6, 3, 5, 2, 1], [1, 2, 4, 7, 3, 5, 6]}, 26921/775515760872652800, .3471367232e-13], [{[6, 7, 5, 1, 2, 3, 4]}, 479/13769811095040000, .3478624338e-13], [{[6, 7, 4, 2, 5, 3, 1], [1, 4, 2, 5, 3, 7, 6]}, 674747/19387894021816320000, .3480249063e-13], [{[6, 7, 4, 3, 5, 1, 2]}, 337679/9693947010908160000, .3483400514e-13], [{[6, 5, 4, 3, 2 , 7, 1], [1, 3, 4, 5, 6, 7, 2]}, 338287/9693947010908160000, .3489672469e-13], [{[6, 5, 3, 4, 7, 2, 1], [1, 2, 5, 4, 6, 7, 3]}, 96853/2769699145973760000, .\ 3496877996e-13], [{[1, 2, 4, 6, 7, 5, 3], [1, 2, 7, 3, 6, 4, 5]}, 680543/ 19387894021816320000, .3510144007e-13], [{[7, 4, 6, 5, 2, 1, 3], [1, 3, 4, 2, 7 , 5, 6]}, 340363/9693947010908160000, .3511087894e-13], [{[7, 6, 4, 2, 3, 1, 5] , [1, 2, 7, 3, 5, 4, 6]}, 1007/28680316600320000, .3511118842e-13], [{[4, 5, 3, 1, 2, 6, 7]}, 467/13297595351040000, .3511913152e-13], [{[7, 5, 4, 3, 6, 1, 2], [6, 7, 4, 3, 2, 5, 1]}, 136243/3877578804363264000, .3513610087e-13], [{[1, 3, 2, 6, 7, 5, 4], [1, 3, 2, 7, 6, 4, 5]}, 7577/215421044686848000, .3517297955e-\ 13], [{[7, 6, 1, 2, 5, 4, 3], [3, 4, 7, 6, 5, 2, 1]}, 682013/ 19387894021816320000, .3517726057e-13], [{[7, 4, 6, 5, 1, 2, 3], [7, 5, 4, 6, 1 , 2, 3]}, 341227/9693947010908160000, .3520000673e-13], [{[7, 4, 6, 5, 1, 3, 2] , [5, 7, 6, 2, 4, 3, 1]}, 683651/19387894021816320000, .3526174629e-13], [{[7, 6, 1, 2, 5, 3, 4], [1, 2, 5, 7, 6, 4, 3]}, 1/28332944640000, .3529460184e-13], [{[4, 6, 7, 5, 2, 3, 1], [7, 5, 6, 1, 4, 2, 3]}, 9539/269276305858560000, .\ 3542457986e-13], [{[4, 3, 2, 5, 1, 6, 7], [3, 5, 6, 7, 4, 2, 1]}, 23021/ 646263134060544000, .3562171318e-13], [{[5, 2, 1, 3, 4, 6, 7], [1, 2, 7, 3, 4, 6, 5]}, 346033/9693947010908160000, .3569578002e-13], [{[4, 1, 2, 3, 6, 5, 7], [7, 5, 6, 1, 4, 3, 2]}, 15539/430842089373696000, .3606657841e-13], [{[6, 5, 4, 2, 3, 1, 7], [1, 7, 6, 5, 3, 4, 2]}, 69959/1938789402181632000, .3608385724e-13 ], [{[1, 3, 4, 5, 6, 2, 7]}, 351101/9693947010908160000, .3621858048e-13], [{[7 , 6, 1, 3, 2, 4, 5], [1, 2, 7, 6, 4, 5, 3]}, 11717/323131567030272000, .\ 3626077176e-13], [{[6, 5, 3, 4, 2, 1, 7]}, 50381/1384849572986880000, .\ 3638012459e-13], [{[1, 3, 2, 7, 6, 5, 4]}, 354059/9693947010908160000, .\ 3652371935e-13], [{[6, 5, 4, 3, 1, 2, 7], [1, 7, 6, 5, 4, 2, 3]}, 16147/ 440633955041280000, .3664492901e-13], [{[1, 2, 6, 7, 5, 4, 3], [1, 2, 7, 6, 5, 3, 4]}, 79763/2154210446868480000, .3702655890e-13], [{[6, 5, 4, 3, 7, 2, 1], [ 5, 1, 2, 3, 4, 6, 7]}, 730397/19387894021816320000, .3767283848e-13], [{[5, 6, 7, 4, 3, 1, 2]}, 35051/923233048657920000, 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7, 6, 4, 5]}, 42839/1077105223434240000, .3977234449e-13], [{[7, 6, 4 , 2, 3, 5, 1], [1, 2, 6, 3, 5, 4, 7]}, 771607/19387894021816320000, .3979839167\ e-13], [{[1, 2, 5, 4, 6, 3, 7], [1, 2, 6, 4, 3, 5, 7]}, 86027/ 2154210446868480000, .3993435280e-13], [{[6, 7, 5, 3, 4, 1, 2]}, 7043/ 176253582016512000, .3995947157e-13], [{[6, 7, 3, 4, 5, 2, 1]}, 777967/ 19387894021816320000, .4012643143e-13], [{[1, 3, 2, 6, 5, 4, 7]}, 778187/ 19387894021816320000, .4013777872e-13], [{[4, 6, 7, 5, 3, 2, 1], [1, 2, 3, 7, 4 , 6, 5]}, 86543/2154210446868480000, .4017388372e-13], [{[5, 6, 7, 4, 2, 3, 1]} , 111593/2769699145973760000, .4029065762e-13], [{[6, 7, 5, 3, 2, 4, 1], [1, 3, 4, 2, 5, 7, 6]}, 78149/1938789402181632000, .4030814276e-13], [{[3, 1, 2, 4, 6, 5, 7], [1, 3, 2, 4, 7, 5, 6]}, 391507/9693947010908160000, .4038674851e-13], [{ [4, 7, 6, 5, 3, 2, 1], [2, 3, 4, 1, 5, 6, 7]}, 4009/97918656675840000, .\ 4094214664e-13], [{[4, 3, 2, 1, 5, 6, 7]}, 398501/9693947010908160000, .\ 4110822966e-13], [{[7, 5, 3, 6, 4, 2, 1], [1, 2, 5, 3, 6, 4, 7]}, 201433/ 4846973505454080000, .4155851064e-13], [{[1, 2, 4, 3, 7, 6, 5]}, 805907/ 19387894021816320000, .4156753689e-13], [{[5, 7, 6, 3, 4, 2, 1], [1, 2, 4, 3, 7 , 5, 6]}, 10123/242348675272704000, .4177039544e-13], [{[7, 5, 4, 3, 6, 2, 1], [1, 2, 4, 5, 6, 3, 7]}, 101357/2423486752727040000, .4182279927e-13], [{[6, 7, 4, 3, 5, 2, 1], [6, 7, 3, 5, 4, 2, 1]}, 405571/9693947010908160000, .4183755075\ e-13], [{[6, 7, 4, 5, 2, 3, 1]}, 67741/1615657835151360000, .4192781326e-13], [ {[1, 3, 2, 5, 6, 4, 7], [1, 3, 2, 6, 4, 5, 7]}, 25483/605871688181760000, .\ 4206006073e-13], [{[6, 7, 5, 4, 3, 1, 2]}, 280897/6462631340605440000, .\ 4346480330e-13], [{[5, 6, 7, 4, 3, 2, 1]}, 3361/74568823160832000, .4507245599e\ -13], [{[1, 2, 3, 6, 5, 4, 7]}, 59/1303650754560000, .4525751993e-13], [{[5, 7, 6, 4, 3, 2, 1], [1, 2, 3, 4, 7, 5, 6]}, 125453/2769699145973760000, .4529481124\ e-13], [{[1, 3, 2, 4, 5, 7, 6]}, 63199/1384849572986880000, .4563600353e-13], [ {[1, 2, 5, 4, 3, 6, 7]}, 6913/146877985013760000, .4706627749e-13], [{[1, 2, 3, 5, 4, 7, 6]}, 152177/3231315670302720000, .4709443939e-13], [{[1, 2, 3, 5, 6, 4 , 7], [1, 2, 3, 6, 4, 5, 7]}, 915023/19387894021816320000, .4719558499e-13], [{ [6, 7, 5, 3, 4, 2, 1]}, 916247/19387894021816320000, .4725871716e-13], [{[1, 3, 2, 4, 6, 5, 7]}, 925403/19387894021816320000, .4773097062e-13], [{[1, 2, 4, 5, 3, 6, 7]}, 189491/3877578804363264000, .4886838142e-13], [{[1, 2, 4, 3, 6, 5, 7 ]}, 476317/9693947010908160000, .4913550687e-13], [{[2, 1, 3, 4, 5, 6, 7]}, 30781/605871688181760000, .5080448650e-13], [{[1, 2, 3, 4, 6, 5, 7]}, 32041/ 605871688181760000, .5288413475e-13], [{[1, 2, 3, 5, 4, 6, 7]}, 263777/ 4846973505454080000, .5442097006e-13], [{[1, 2, 3, 4, 5, 6, 7]}, 563911/ 9693947010908160000, .5817145476e-13]] It took, 1.562, seconds of CPU time