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
         The list of Asymtotic Correlations of size , 2, is as follows

[[{{[1, 2], [2, 1]}}, -1, -1.]]
         The list of Asymtotic Correlations of size , 3, is as follows

[[{{[1, 2, 3], [3, 2, 1]}}, -12/13, -.9230769231], [{{[1, 2, 3], [2, 3, 1]}}, -\
1/14*91^(1/2), -.6813851439], [{{[1, 3, 2], [2, 3, 1]}}, -3/7, -.4285714286], [
{{[1, 3, 2], [2, 1, 3]}}, -1/14, -.7142857143e-1], [{{[1, 2, 3], [1, 3, 2]}}, 6
/91*91^(1/2), .6289709020]]
         The list of Asymtotic Correlations of size , 4, is as follows

[[{{[1, 2, 3, 4], [3, 4, 1, 2]}}, -313/115385*115385^(1/2), -.9214455145], [{{[
1, 3, 2, 4], [3, 4, 1, 2]}}, -241/81545*81545^(1/2), -.8439532192], [{{[1, 2, 3
, 4], [3, 4, 2, 1]}}, -353/176269*176269^(1/2), -.8407884461], [{{[1, 4, 3, 2],
[3, 2, 1, 4]}}, -213/263, -.8098859316], [{{[1, 2, 4, 3], [3, 4, 2, 1]}}, -289/
359, -.8050139276], [{{[1, 2, 3, 4], [4, 3, 2, 1]}}, -393/491, -.8004073320], [
{{[1, 2, 4, 3], [3, 4, 1, 2]}}, -45/16873*84365^(1/2), -.7746425755], [{{[1, 2,
4, 3], [4, 2, 3, 1]}}, -272/124573*124573^(1/2), -.7706495734], [{{[1, 2, 3, 4]
, [4, 2, 3, 1]}}, -303/170377*170377^(1/2), -.7340694413], [{{[1, 3, 2, 4], [4,
2, 3, 1]}}, -249/347, -.7175792507], [{{[1, 3, 4, 2], [4, 2, 1, 3]}}, -169/239,
-.7071129707], [{{[2, 1, 4, 3], [3, 4, 1, 2]}}, -137/235, -.5829787234], [{{[1,
3, 4, 2], [3, 2, 1, 4]}}, -135/62857*62857^(1/2), -.5384643357], [{{[1, 2, 4, 3
], [3, 2, 4, 1]}}, -157/85801*85801^(1/2), -.5359860390], [{{[1, 3, 2, 4], [2,
4, 3, 1]}}, -149/82933*82933^(1/2), -.5173954204], [{{[1, 2, 3, 4], [2, 4, 3, 1
]}}, -176/117349*117349^(1/2), -.5137750041], [{{[1, 3, 4, 2], [4, 1, 2, 3]}},
-103/62857*62857^(1/2), -.4108283450], [{{[1, 3, 4, 2], [3, 4, 1, 2]}}, -96/
56165*56165^(1/2), -.4050777150], [{{[1, 2, 4, 3], [2, 4, 3, 1]}}, -115/85801*
85801^(1/2), -.3926012388], [{{[1, 3, 4, 2], [3, 1, 2, 4]}}, -69/239, -.2887029\
289], [{{[1, 3, 2, 4], [2, 4, 1, 3]}}, -7/4511*31577^(1/2), -.2757469050], [{{[
1, 3, 4, 2], [3, 2, 4, 1]}}, -64/239, -.2677824268], [{{[1, 3, 2, 4], [2, 3, 4,
1]}}, -80/91261*91261^(1/2), -.2648179232], [{{[1, 2, 3, 4], [2, 3, 4, 1]}}, -\
89/129133*129133^(1/2), -.2476688493], [{{[1, 2, 3, 4], [2, 4, 1, 3]}}, -7/6383
*44681^(1/2), -.2318113188], [{{[1, 2, 4, 3], [2, 3, 4, 1]}}, -64/94417*94417^(
1/2), -.2082835041], [{{[1, 3, 4, 2], [2, 3, 1, 4]}}, -48/239, -.2008368201], [
{{[1, 4, 3, 2], [3, 4, 1, 2]}}, -39/61805*61805^(1/2), -.1568746615], [{{[1, 2,
4, 3], [3, 2, 1, 4]}}, -48/94417*94417^(1/2), -.1562126280], [{{[1, 3, 4, 2], [
2, 4, 1, 3]}}, -3/3107*21749^(1/2), -.1423966093], [{{[1, 4, 3, 2], [2, 3, 4, 1
]}}, -25/263, -.9505703422e-1], [{{[1, 3, 4, 2], [2, 4, 3, 1]}}, -1/239, -.\
4184100418e-2], [{{[1, 2, 4, 3], [2, 4, 1, 3]}, {[1, 4, 3, 2], [2, 4, 1, 3]}},
0, 0.], [{{[2, 4, 1, 3], [3, 1, 4, 2]}}, 1/13, .7692307692e-1], [{{[1, 3, 4, 2]
, [2, 3, 4, 1]}}, 23/62857*62857^(1/2), .9173836829e-1], [{{[1, 3, 4, 2], [3, 1
, 4, 2]}}, 3/3107*21749^(1/2), .1423966093], [{{[1, 2, 4, 3], [2, 3, 1, 4]}}, 
45/85801*85801^(1/2), .1536265717], [{{[1, 4, 3, 2], [2, 1, 4, 3]}}, 39/61805*
61805^(1/2), .1568746615], [{{[1, 2, 3, 4], [1, 4, 3, 2]}}, 89/129133*129133^(1
/2), .2476688493], [{{[1, 3, 2, 4], [1, 4, 3, 2]}}, 80/91261*91261^(1/2), .2648\
179232], [{{[2, 1, 4, 3], [2, 4, 1, 3]}}, 7/3055*21385^(1/2), .3350745577], [{{
[1, 3, 4, 2], [2, 1, 4, 3]}}, 96/56165*56165^(1/2), .4050777150], [{{[1, 3, 2,
4], [2, 1, 4, 3]}}, 143/81545*81545^(1/2), .5007689225], [{{[1, 2, 3, 4], [1, 3
, 4, 2]}}, 176/117349*117349^(1/2), .5137750041], [{{[1, 3, 2, 4], [1, 3, 4, 2]
}}, 149/82933*82933^(1/2), .5173954204], [{{[1, 2, 4, 3], [1, 4, 3, 2]}}, 176/
94417*94417^(1/2), .5727796362], [{{[1, 2, 4, 3], [2, 1, 3, 4]}}, 219/359, .610\
0278552], [{{[1, 2, 3, 4], [2, 1, 4, 3]}}, 43/23077*115385^(1/2), .6329418071],
[{{[1, 3, 4, 2], [1, 4, 2, 3]}}, 176/239, .7364016736], [{{[1, 2, 4, 3], [1, 3,
2, 4]}}, 272/124573*124573^(1/2), .7706495734], [{{[1, 2, 4, 3], [2, 1, 4, 3]}}
, 45/16873*84365^(1/2), .7746425755], [{{[1, 2, 4, 3], [1, 3, 4, 2]}}, 227/
85801*85801^(1/2), .7749607063], [{{[1, 2, 3, 4], [1, 2, 4, 3]}}, 353/176269*
176269^(1/2), .8407884461], [{{[1, 3, 4, 2], [1, 4, 3, 2]}}, 215/62857*62857^(1
/2), .8575543123], [{{[1, 2, 3, 4], [1, 3, 2, 4]}}, 401/170377*170377^(1/2), .9\
714912404]]
         The list of Asymtotic Correlations of size , 5, is as follows

[[{{[2, 1, 3, 5, 4], [4, 5, 3, 1, 2]}}, -1235/1321, -.9348978047], [{{[2, 1, 3,
5, 4], [5, 4, 3, 1, 2]}}, -363/1199468*8996010^(1/2), -.9077012293], [{{[2, 1,
3, 5, 4], [5, 4, 3, 2, 1]}}, -2975/11141314*11141314^(1/2), -.8912894438], [{{[
2, 1, 4, 3, 5], [4, 5, 3, 1, 2]}}, -4721/14356628*7178314^(1/2), -.8810342238],
[{{[1, 3, 2, 4, 5], [4, 5, 3, 1, 2]}}, -871/3093782*9281346^(1/2), -.8576970732
], [{{[2, 1, 5, 3, 4], [5, 4, 3, 2, 1]}}, -821/109642*12651^(1/2), -.8422259837
], [{{[2, 1, 3, 4, 5], [4, 5, 3, 2, 1]}}, -189/227, -.8325991189], [{{[2, 1, 5,
3, 4], [5, 3, 4, 2, 1]}}, -735/30446*1171^(1/2), -.8261055569], [{{[2, 1, 5, 3,
4], [5, 4, 3, 1, 2]}}, -1437/59020*1135^(1/2), -.8202674795], [{{[2, 1, 4, 3, 5
], [5, 4, 3, 1, 2]}}, -831/3083795*9251385^(1/2), -.8196319914], [{{[2, 1, 4, 3
, 5], [5, 3, 4, 1, 2]}}, -2215/2717, -.8152373942], [{{[2, 1, 5, 3, 4], [5, 3,
4, 1, 2]}}, -115/12844*8151^(1/2), -.8083566027], [{{[2, 1, 5, 3, 4], [4, 5, 3,
2, 1]}}, -1407/59020*1135^(1/2), -.8031428974], [{{[2, 1, 5, 3, 4], [5, 4, 2, 3
, 1]}}, -711/30446*1171^(1/2), -.7991306816], [{{[1, 5, 4, 3, 2], [4, 2, 3, 1,
5]}}, -397/24770*2477^(1/2), -.7976777961], [{{[2, 5, 3, 1, 4], [4, 1, 3, 5, 2]
}}, -335/421, -.7957244656], [{{[1, 5, 4, 3, 2], [4, 3, 2, 1, 5]}}, -3941/4954,
-.7955187727], [{{[2, 1, 5, 3, 4], [4, 5, 3, 1, 2]}}, -601/68692*7926^(1/2), -.\
7789244652], [{{[1, 2, 3, 4, 5], [4, 5, 3, 2, 1]}}, -393/1914518*14358885^(1/2)
, -.7778456999], [{{[2, 1, 4, 3, 5], [5, 4, 3, 2, 1]}}, -5251/22915178*11457589
^(1/2), -.7756492965], [{{[1, 5, 3, 4, 2], [4, 2, 3, 1, 5]}}, -349/450, -.77555\
55556], [{{[1, 3, 2, 4, 5], [3, 5, 1, 4, 2]}}, -471/1126502*3379506^(1/2), -.76\
86268492], [{{[1, 5, 2, 3, 4], [4, 3, 2, 5, 1]}}, -1645/2147, -.7661853749], [{
{[2, 1, 5, 4, 3], [5, 4, 3, 2, 1]}}, -2273/8864134*8864134^(1/2), -.7634511951]
, [{{[1, 2, 4, 5, 3], [4, 5, 3, 1, 2]}}, -4111/14515148*7257574^(1/2), -.762995\
0929], [{{[2, 4, 1, 5, 3], [5, 4, 3, 2, 1]}}, -1535/4056754*4056754^(1/2), -.76\
21124272], [{{[1, 3, 2, 4, 5], [5, 3, 4, 1, 2]}}, -1565/6363214*9544821^(1/2),
-.7598392206], [{{[2, 1, 5, 3, 4], [4, 5, 2, 3, 1]}}, -1187/141284*8151^(1/2),
-.7585132707], [{{[1, 3, 2, 4, 5], [5, 4, 3, 1, 2]}}, -1737/2658170*1329085^(1/
2), -.7533441919], [{{[1, 5, 4, 2, 3], [4, 2, 3, 1, 5]}}, -351/21770*2177^(1/2)
, -.7522772043], [{{[2, 1, 5, 3, 4], [5, 3, 2, 4, 1]}}, -575/22646*871^(1/2), -\
.7493512209], [{{[1, 5, 2, 3, 4], [4, 3, 1, 5, 2]}}, -775/807272*605454^(1/2),
-.7470030749], [{{[1, 5, 4, 3, 2], [3, 4, 2, 1, 5]}}, -3463/10784858*5392429^(1
/2), -.7456418549], [{{[1, 2, 4, 5, 3], [4, 5, 2, 3, 1]}}, -2030/7463599*
7463599^(1/2), -.7430565880], [{{[1, 3, 2, 4, 5], [4, 2, 5, 1, 3]}}, -35/86654*
3379506^(1/2), -.7425163830], [{{[1, 2, 4, 5, 3], [4, 5, 3, 2, 1]}}, -756/
3117845*9353535^(1/2), -.7415751401], [{{[1, 5, 3, 2, 4], [4, 3, 1, 5, 2]}}, -\
707/20680*470^(1/2), -.7411699592], [{{[1, 2, 4, 5, 3], [4, 5, 2, 1, 3]}}, -\
1165/142844*8241^(1/2), -.7403786375], [{{[1, 3, 4, 2, 5], [4, 2, 5, 1, 3]}}, -\
391/64454*14874^(1/2), -.7398450478], [{{[1, 5, 2, 4, 3], [4, 3, 2, 5, 1]}}, -\
1538/401489*36499^(1/2), -.7318518372], [{{[1, 3, 2, 4, 5], [4, 5, 1, 2, 3]}},
-661/2461442*7384326^(1/2), -.7297385401], [{{[1, 2, 4, 5, 3], [5, 4, 3, 1, 2]}
}, -741/3117845*9353535^(1/2), -.7268613476], [{{[2, 4, 1, 5, 3], [5, 2, 3, 4,
1]}}, -1103/2325154*2325154^(1/2), -.7233519411], [{{[1, 5, 2, 4, 3], [4, 3, 2,
1, 5]}}, -3259/926398*42109^(1/2), -.7218953023], [{{[2, 1, 3, 5, 4], [5, 2, 4,
3, 1]}}, -631/2301182*6903546^(1/2), -.7204676787], [{{[1, 5, 2, 3, 4], [4, 2,
3, 5, 1]}}, -471/118085*32205^(1/2), -.7157936231], [{{[1, 2, 4, 5, 3], [5, 4,
3, 2, 1]}}, -4871/23168198*11584099^(1/2), -.7155780391], [{{[2, 1, 5, 3, 4], [
4, 3, 5, 1, 2]}}, -120/169, -.7100591716], [{{[1, 2, 4, 5, 3], [5, 4, 2, 3, 1]}
}, -1465/6433474*9650211^(1/2), -.7073925459], [{{[2, 1, 3, 4, 5], [4, 5, 1, 2,
3]}}, -1257/4771540*7157310^(1/2), -.7047768381], [{{[1, 5, 3, 4, 2], [3, 4, 1,
2, 5]}}, -61/3786*1893^(1/2), -.7010105152], [{{[1, 2, 4, 5, 3], [5, 3, 4, 1, 2
]}}, -1913/7463599*7463599^(1/2), -.7002301737], [{{[1, 5, 4, 2, 3], [3, 4, 2,
1, 5]}}, -3041/4354, -.6984382177], [{{[1, 2, 4, 5, 3], [5, 4, 2, 1, 3]}}, -\
1915/2747, -.6971241354], [{{[1, 5, 2, 4, 3], [3, 4, 2, 1, 5]}}, -419/116314*
37009^(1/2), -.6930039452], [{{[2, 1, 5, 4, 3], [5, 3, 2, 4, 1]}}, -541/1830842
*5492526^(1/2), -.6925202213], [{{[2, 3, 4, 1, 5], [4, 1, 5, 2, 3]}}, -2111/
4646108*2323054^(1/2), -.6925140436], [{{[1, 2, 3, 4, 5], [5, 4, 3, 2, 1]}}, -\
2920/4217, -.6924353806], [{{[1, 5, 4, 3, 2], [3, 4, 1, 2, 5]}}, -995/3125974*
4688961^(1/2), -.6892488173], [{{[1, 5, 3, 2, 4], [4, 2, 3, 5, 1]}}, -83/121, -\
.6859504132], [{{[1, 2, 4, 5, 3], [5, 3, 4, 2, 1]}}, -1417/6433474*9650211^(1/2
), -.6842151791], [{{[1, 3, 2, 5, 4], [3, 5, 1, 4, 2]}}, -2201/402116*15466^(1/
2), -.6807030422], [{{[1, 5, 2, 3, 4], [4, 3, 5, 1, 2]}}, -943/111644*6441^(1/2
), -.6778802083], [{{[1, 5, 2, 4, 3], [4, 2, 3, 1, 5]}}, -307/1870*17^(1/2), -.\
6768948809], [{{[2, 1, 3, 4, 5], [4, 2, 5, 1, 3]}}, -163/436748*3275610^(1/2),
-.6754648806], [{{[1, 3, 2, 4, 5], [5, 4, 3, 2, 1]}}, -866/4938107*14814321^(1/
2), -.6749914493], [{{[2, 1, 4, 3, 5], [5, 3, 2, 4, 1]}}, -1193/364078*42009^(1
/2), -.6716100381], [{{[1, 5, 4, 3, 2], [3, 2, 1, 4, 5]}}, -1175/658882*141189^
(1/2), -.6700861700], [{{[1, 5, 3, 2, 4], [3, 4, 1, 5, 2]}}, -125/23804*16230^(
1/2), -.6689895459], [{{[1, 5, 2, 4, 3], [3, 4, 2, 5, 1]}}, -125/187, -.6684491\
979], [{{[2, 1, 4, 3, 5], [4, 5, 1, 2, 3]}}, -3191/11422268*5711134^(1/2), -.66\
76296769], [{{[1, 5, 3, 2, 4], [3, 4, 2, 5, 1]}}, -86/2057*255^(1/2), -.6676275\
499], [{{[1, 3, 2, 4, 5], [5, 4, 2, 3, 1]}}, -780/1171, -.6660973527], [{{[2, 1
, 5, 3, 4], [5, 2, 4, 3, 1]}}, -511/22646*871^(1/2), -.6659451721], [{{[1, 5, 4
, 2, 3], [4, 3, 1, 2, 5]}}, -2885/4354, -.6626090951], [{{[2, 1, 4, 3, 5], [5,
2, 4, 1, 3]}}, -1418/426569*38779^(1/2), -.6546139301], [{{[1, 2, 5, 4, 3], [5,
4, 3, 2, 1]}}, -1497/1121722*240369^(1/2), -.6542982987], [{{[1, 2, 4, 5, 3], [
4, 5, 1, 3, 2]}}, -79/10988*8241^(1/2), -.6526771337], [{{[2, 1, 4, 3, 5], [5,
2, 4, 3, 1]}}, -89/28006*42009^(1/2), -.6513435156], [{{[1, 5, 2, 3, 4], [4, 3,
5, 2, 1]}}, -1580/5897809*5897809^(1/2), -.6505965186], [{{[1, 2, 5, 4, 3], [5,
4, 3, 1, 2]}}, -666/150955*21565^(1/2), -.6478902703], [{{[2, 4, 1, 3, 5], [5,
2, 4, 3, 1]}}, -917/3008434*4512651^(1/2), -.6475073777], [{{[1, 2, 4, 5, 3], [
5, 3, 2, 4, 1]}}, -1153/71422*1599^(1/2), -.6455375830], [{{[2, 1, 3, 5, 4], [5
, 4, 1, 2, 3]}}, -1167/702772*150594^(1/2), -.6444069870], [{{[2, 1, 3, 4, 5],
[5, 2, 4, 1, 3]}}, -104/392029*5880435^(1/2), -.6433093616], [{{[1, 3, 2, 4, 5]
, [5, 2, 4, 1, 3]}}, -1053/4044634*6066951^(1/2), -.6412603484], [{{[1, 5, 4, 3
, 2], [3, 2, 1, 5, 4]}}, -2921/10413308*5206654^(1/2), -.6400622329], [{{[2, 1,
3, 4, 5], [5, 2, 4, 3, 1]}}, -253/395434*988585^(1/2), -.6361411968], [{{[2, 1,
3, 5, 4], [4, 5, 1, 2, 3]}}, -749/1388371*1388371^(1/2), -.6356660996], [{{[1,
2, 4, 5, 3], [4, 3, 5, 1, 2]}}, -997/142844*8241^(1/2), -.6336115893], [{{[1, 3
, 2, 4, 5], [5, 3, 1, 4, 2]}}, -1037/4044634*6066951^(1/2), -.6315166013], [{{[
1, 3, 2, 4, 5], [5, 4, 1, 2, 3]}}, -1317/311486*22249^(1/2), -.6306704627], [{{
[2, 4, 1, 3, 5], [5, 4, 3, 2, 1]}}, -3395/14565518*7282759^(1/2), -.6290161753]
, [{{[2, 1, 4, 3, 5], [5, 4, 1, 2, 3]}}, -576/19019*429^(1/2), -.6272829036], [
{{[1, 5, 2, 4, 3], [4, 3, 1, 5, 2]}}, -637/70312*4794^(1/2), -.6272764684], [{{
[2, 1, 4, 3, 5], [5, 3, 1, 4, 2]}}, -1355/426569*38779^(1/2), -.6255302365], [{
{[2, 1, 3, 5, 4], [5, 3, 1, 4, 2]}}, -2671/9125468*4562734^(1/2), -.6252177756]
, [{{[2, 1, 5, 3, 4], [5, 2, 3, 4, 1]}}, -461/62842*7251^(1/2), -.6246688929],
[{{[1, 2, 5, 3, 4], [4, 3, 1, 5, 2]}}, -733/1032872*774654^(1/2), -.6246134822]
, [{{[2, 1, 3, 4, 5], [5, 3, 2, 4, 1]}}, -1237/1977170*988585^(1/2), -.62206060\
11], [{{[1, 2, 4, 5, 3], [4, 3, 5, 2, 1]}}, -1708/2747, -.6217692028], [{{[1, 5
, 4, 2, 3], [4, 3, 2, 5, 1]}}, -1340/4674019*4674019^(1/2), -.6198114025], [{{[
1, 5, 2, 3, 4], [3, 4, 5, 1, 2]}}, -2615/9025988*4512994^(1/2), -.6154734446],
[{{[1, 2, 4, 5, 3], [4, 5, 1, 2, 3]}}, -2941/11548388*5774194^(1/2), -.61195479\
66], [{{[1, 5, 2, 4, 3], [4, 3, 1, 2, 5]}}, -235/74018*37009^(1/2), -.610779133\
4], [{{[2, 1, 3, 5, 4], [5, 2, 3, 4, 1]}}, -1535/6385714*6385714^(1/2), -.60744\
03653], [{{[2, 1, 3, 4, 5], [5, 3, 1, 4, 2]}}, -491/1960145*5880435^(1/2), -.60\
74324933], [{{[1, 2, 4, 5, 3], [3, 5, 4, 1, 2]}}, -955/142844*8241^(1/2), -.606\
9198273], [{{[1, 5, 4, 2, 3], [3, 4, 1, 2, 5]}}, -821/2747374*4121061^(1/2), -.\
6066383961], [{{[2, 4, 1, 3, 5], [4, 2, 5, 3, 1]}}, -95/157, -.6050955414], [{{
[2, 1, 3, 4, 5], [3, 5, 1, 4, 2]}}, -727/2183740*3275610^(1/2), -.6025312493],
[{{[1, 2, 5, 4, 3], [5, 3, 2, 4, 1]}}, -155/33098*16549^(1/2), -.6024428085], [
{{[1, 5, 2, 3, 4], [3, 4, 5, 2, 1]}}, -491/15029*339^(1/2), -.6015216412], [{{[
1, 2, 4, 5, 3], [3, 5, 4, 2, 1]}}, -1645/2747, -.5988350928], [{{[1, 5, 3, 2, 4
], [3, 2, 4, 5, 1]}}, -36/10885*32655^(1/2), -.5976527353], [{{[1, 5, 2, 4, 3],
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237256*59314^(1/2), .3079517363e-2], [{{[1, 5, 3, 2, 4], [3, 5, 1, 2, 4]}}, 3/
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4/1373687*4121061^(1/2), .5911214579e-2], [{{[1, 5, 4, 2, 3], [2, 1, 3, 5, 4]}}
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3]}}, 4/34705*3155^(1/2), .6473924415e-2], [{{[1, 3, 2, 4, 5], [1, 5, 4, 3, 2]}
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[{{[1, 2, 5, 4, 3], [2, 3, 4, 5, 1]}}, 9/329441*141189^(1/2), .1026514984e-1],
[{{[2, 4, 1, 3, 5], [3, 4, 1, 5, 2]}, {[1, 3, 5, 2, 4], [3, 2, 5, 1, 4]}}, 29/
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1/156*3^(1/2), .1110288979e-1], [{{[1, 2, 5, 3, 4], [5, 1, 3, 2, 4]}}, 3/13735*
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6531^(1/2), .2641373359e-1], [{{[1, 5, 4, 3, 2], [5, 3, 4, 2, 1]}}, 55/5801134*
8701701^(1/2), .2796738560e-1], [{{[1, 5, 3, 4, 2], [2, 1, 3, 5, 4]}}, 3/5284*
2642^(1/2), .2918265846e-1], [{{[1, 3, 2, 5, 4], [3, 4, 1, 2, 5]}}, 45/3428854*
5143281^(1/2), .2976347577e-1], [{{[1, 2, 5, 4, 3], [2, 4, 1, 3, 5]}}, 47/
459382*98439^(1/2), .3210018092e-1], [{{[1, 5, 3, 2, 4], [3, 1, 2, 5, 4]}}, 43/
2860*5^(1/2), .3361920384e-1], [{{[1, 5, 3, 4, 2], [3, 5, 1, 4, 2]}}, 11/9620*
962^(1/2), .3546542340e-1], [{{[1, 5, 2, 3, 4], [3, 5, 1, 2, 4]}}, 109/4646108*
2323054^(1/2), .3575747549e-1], [{{[1, 5, 4, 3, 2], [5, 3, 4, 1, 2]}}, 98/
6730009*6730009^(1/2), .3777619863e-1], [{{[2, 3, 4, 1, 5], [3, 1, 5, 2, 4]}},
115/4130828*2065414^(1/2), .4000960709e-1], [{{[1, 2, 4, 5, 3], [4, 1, 2, 3, 5]
}}, 197/11795618*5897809^(1/2), .4055933992e-1], [{{[1, 5, 2, 4, 3], [2, 4, 5,
1, 3]}}, 125/404668*18394^(1/2), .4189375043e-1], [{{[1, 5, 2, 4, 3], [3, 1, 2,
5, 4]}}, 5/748*51^(1/2), .4773682105e-1], [{{[1, 5, 4, 3, 2], [5, 4, 3, 2, 1]}}
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73/2456140*3684210^(1/2), .5704819800e-1], [{{[1, 3, 4, 5, 2], [3, 1, 4, 2, 5]}
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2]}}, 43/556141*556141^(1/2), .5766018067e-1], [{{[1, 5, 2, 4, 3], [5, 2, 1, 3,
4]}}, 125/407099*37009^(1/2), .5906954868e-1], [{{[1, 5, 2, 3, 4], [4, 1, 2, 5,
3]}}, 63/807272*605454^(1/2), .6072412093e-1], [{{[1, 2, 5, 4, 3], [2, 5, 4, 1,
3]}}, 73/50008*1786^(1/2), .6169132547e-1], [{{[1, 5, 4, 3, 2], [5, 4, 3, 1, 2]
}}, 12/562279*8434185^(1/2), .6197991035e-1], [{{[2, 1, 5, 3, 4], [3, 5, 1, 2,
4]}}, 31/28132*3246^(1/2), .6278202839e-1], [{{[2, 3, 4, 5, 1], [5, 4, 3, 2, 1]
}}, 205/10445509*10445509^(1/2), .6342917420e-1], [{{[1, 5, 4, 2, 3], [3, 5, 1,
4, 2]}, {[1, 5, 4, 2, 3], [3, 1, 5, 2, 4]}}, 5/113204*2094274^(1/2), .\
6391826561e-1], [{{[1, 5, 4, 3, 2], [3, 1, 4, 5, 2]}}, 73/931352*698514^(1/2),
.6550833572e-1], [{{[2, 5, 4, 3, 1], [2, 3, 5, 1, 4]}}, 69/807272*605454^(1/2),
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e-1], [{{[1, 5, 4, 3, 2], [4, 5, 3, 1, 2]}}, 391/13088468*6544234^(1/2), .\
7642181570e-1], [{{[2, 1, 4, 3, 5], [3, 2, 5, 1, 4]}}, 265/5879588*2939794^(1/2
), .7727827668e-1], [{{[1, 5, 3, 2, 4], [4, 1, 5, 2, 3]}}, 73/119020*16230^(1/2
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2), .7845369463e-1], [{{[2, 5, 1, 4, 3], [5, 2, 4, 1, 3]}}, 221/3737228*1868614
^(1/2), .8083556511e-1], [{{[1, 5, 4, 2, 3], [5, 4, 1, 3, 2]}}, 200/5980219*
5980219^(1/2), .8178458448e-1], [{{[1, 2, 5, 4, 3], [2, 3, 5, 4, 1]}}, 10/41363
*124089^(1/2), .8516371785e-1], [{{[1, 5, 2, 3, 4], [5, 1, 4, 3, 2]}}, 185/2147
, .8616674429e-1], [{{[1, 3, 2, 4, 5], [1, 5, 4, 2, 3]}}, 81/2549267*7647801^(1
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9042553191e-1], [{{[1, 5, 3, 2, 4], [5, 1, 3, 4, 2]}}, 1/11, .9090909091e-1], [
{{[2, 4, 5, 1, 3], [2, 1, 5, 3, 4]}}, 45/28132*3246^(1/2), .9113520248e-1], [{{
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5, 1, 4, 3], [2, 1, 4, 3, 5]}}, 29/534508*2939794^(1/2), .9302554816e-1], [{{[1
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[{{[1, 3, 4, 2, 5], [3, 1, 4, 5, 2]}}, 59/163748*81874^(1/2), .1030977083], [{{
[1, 5, 2, 3, 4], [4, 1, 5, 2, 3]}}, 319/4646108*2323054^(1/2), .1046480246], [{
{[1, 5, 2, 3, 4], [5, 1, 3, 4, 2]}}, 69/118085*32205^(1/2), .1048614862], [{{[2
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3, 5, 1, 4], [3, 1, 5, 4, 2]}}, 39/101708*76281^(1/2), .1059052968], [{{[1, 5,
3, 4, 2], [4, 1, 5, 2, 3]}}, 7/2164*1082^(1/2), .1064031326], [{{[1, 5, 4, 3, 2
], [5, 1, 2, 4, 3]}}, 250/5392429*5392429^(1/2), .1076583677], [{{[1, 5, 4, 2,
3], [4, 5, 1, 3, 2]}}, 153/113204*6531^(1/2), .1092243578], [{{[3, 4, 5, 1, 2],
[5, 2, 3, 4, 1]}}, 247/5080534*5080534^(1/2), .1095827695], [{{[1, 5, 2, 3, 4],
[5, 2, 1, 4, 3]}}, 74/1354757*4064271^(1/2), .1101188444], [{{[1, 2, 5, 3, 4],
[2, 5, 3, 1, 4]}}, 5/69044*2312974^(1/2), .1101360346], [{{[1, 5, 4, 2, 3], [4,
5, 1, 2, 3]}}, 479/9152108*4576054^(1/2), .1119592415], [{{[1, 3, 2, 4, 5], [3,
1, 4, 5, 2]}}, 75/220148*110074^(1/2), .1130287418], [{{[2, 4, 1, 5, 3], [4, 1,
5, 2, 3]}}, 58/260221*260221^(1/2), .1136990465], [{{[1, 2, 5, 4, 3], [2, 4, 5,
1, 3]}}, 1/2164*61674^(1/2), .1147608620], [{{[1, 5, 2, 4, 3], [2, 4, 1, 5, 3]}
}, 329/359788*16354^(1/2), .1169394967], [{{[1, 5, 4, 2, 3], [5, 1, 3, 2, 4]}},
4/1555*2177^(1/2), .1200214343], [{{[2, 3, 4, 1, 5], [2, 1, 5, 3, 4]}}, 167/
111644*6441^(1/2), .1200487749], [{{[3, 2, 5, 4, 1], [3, 2, 4, 1, 5]}}, 80/
117997*32181^(1/2), .1216238618], [{{[1, 5, 4, 2, 3], [2, 5, 3, 1, 4]}}, 335/
3666068*1833034^(1/2), .1237170486], [{{[1, 5, 4, 3, 2], [1, 3, 2, 5, 4]}}, 17/
354211*6730009^(1/2), .1245072669], [{{[1, 5, 2, 4, 3], [2, 5, 3, 1, 4]}}, 335/
314908*14314^(1/2), .1272745645], [{{[1, 5, 4, 3, 2], [5, 4, 1, 3, 2]}}, 337/
6804319*6804319^(1/2), .1291925790], [{{[2, 5, 1, 4, 3], [4, 2, 1, 5, 3]}}, 70/
541, .1293900185], [{{[2, 3, 5, 4, 1], [5, 4, 3, 2, 1]}}, 395/9180409*9180409^(
1/2), .1303665224], [{{[2, 1, 3, 4, 5], [4, 2, 1, 5, 3]}}, 167/2456140*3684210^
(1/2), .1305075214], [{{[1, 3, 4, 2, 5], [3, 1, 5, 2, 4]}}, 69/64454*14874^(1/2
), .1305608908], [{{[2, 3, 5, 1, 4], [3, 1, 4, 2, 5]}}, 123/649352*487014^(1/2)
, .1321891019], [{{[1, 3, 5, 2, 4], [2, 5, 3, 1, 4]}}, 335/2908268*1454134^(1/2
), .1389033105], [{{[2, 1, 5, 3, 4], [4, 1, 5, 2, 3]}}, 69/28132*3246^(1/2), .1\
397406438], [{{[1, 5, 2, 4, 3], [4, 1, 5, 3, 2]}}, 13/6392*4794^(1/2), .1408171\
663], [{{[1, 5, 4, 3, 2], [3, 5, 1, 4, 2]}}, 439/4765748*2382874^(1/2), .142194\
8886], [{{[2, 1, 3, 5, 4], [3, 4, 1, 2, 5]}}, 213/3334204*5001306^(1/2), .14286\
60867], [{{[1, 5, 3, 2, 4], [2, 5, 4, 1, 3]}}, 137/20680*470^(1/2), .1436213358
], [{{[1, 5, 2, 4, 3], [2, 1, 3, 4, 5]}}, 3/4994*57885^(1/2), .1445292455], [{{
[1, 3, 2, 4, 5], [4, 1, 2, 5, 3]}}, 99/220148*110074^(1/2), .1491979392], [{{[3
, 5, 1, 2, 4], [4, 1, 2, 5, 3]}}, 55/101708*76281^(1/2), .1493536237], [{{[2, 5
, 4, 1, 3], [5, 4, 3, 2, 1]}}, 109/792796*1189194^(1/2), .1499309878], [{{[1, 2
, 5, 3, 4], [3, 2, 1, 4, 5]}}, 279/730702*156579^(1/2), .1510882409], [{{[1, 3,
2, 4, 5], [1, 5, 3, 4, 2]}}, 3/1171*3513^(1/2), .1518460275], [{{[1, 2, 5, 4, 3
], [3, 2, 1, 5, 4]}}, 249/559132*119814^(1/2), .1541483152], [{{[2, 3, 4, 5, 1]
, [5, 2, 4, 3, 1]}}, 131/2157467*6472401^(1/2), .1544755827], [{{[1, 3, 5, 2, 4
], [3, 1, 4, 2, 5]}}, 535/3454, .1548928778], [{{[2, 5, 3, 1, 4], [3, 5, 1, 4,
2]}}, 70/202501*202501^(1/2), .1555551715], [{{[1, 5, 4, 3, 2], [4, 5, 1, 3, 2]
}}, 235/128804*7431^(1/2), .1572758869], [{{[2, 1, 5, 4, 3], [3, 1, 4, 2, 5]}},
55/660028*3630154^(1/2), .1587679562], [{{[1, 3, 4, 2, 5], [2, 4, 1, 5, 3]}}, 
85/64454*14874^(1/2), .1608358799], [{{[1, 3, 5, 2, 4], [2, 4, 1, 3, 5]}}, 559/
3454, .1618413434], [{{[2, 1, 5, 3, 4], [4, 2, 1, 5, 3]}}, 81/28132*3246^(1/2),
.1640433644], [{{[1, 3, 2, 4, 5], [4, 3, 2, 1, 5]}}, 165/2900567*8701701^(1/2),
.1678043136], [{{[2, 3, 5, 1, 4], [3, 4, 1, 2, 5]}}, 165/237256*59314^(1/2), .1\
693734549], [{{[2, 4, 1, 5, 3], [4, 3, 1, 5, 2]}}, 59/90428*67821^(1/2), .16991\
47890], [{{[1, 2, 5, 3, 4], [3, 1, 4, 5, 2]}}, 203/1032872*774654^(1/2), .17298\
29971], [{{[2, 1, 5, 4, 3], [4, 1, 5, 3, 2]}}, 89/197588*148191^(1/2), .1733965\
114], [{{[2, 1, 3, 4, 5], [4, 3, 2, 1, 5]}}, 169/2811395*8434185^(1/2), .174576\
7475], [{{[1, 5, 4, 3, 2], [2, 1, 4, 5, 3]}}, 263/128804*7431^(1/2), .176015141\
4], [{{[2, 1, 5, 4, 3], [4, 2, 1, 5, 3]}}, 133/568591*568591^(1/2), .1763809391
], [{{[1, 3, 2, 4, 5], [1, 4, 5, 2, 3]}}, 155/738901*738901^(1/2), .1803177879]
, [{{[1, 5, 2, 4, 3], [2, 1, 4, 3, 5]}}, 881/1016158*46189^(1/2), .1863304993],
[{{[2, 1, 5, 3, 4], [4, 1, 2, 3, 5]}}, 263/111644*6441^(1/2), .1890588492], [{{
[2, 3, 4, 5, 1], [5, 2, 3, 4, 1]}}, 475/5986909*5986909^(1/2), .1941298331], [{
{[2, 4, 1, 5, 3], [3, 4, 1, 2, 5]}}, 177/1214044*1821066^(1/2), .1967440840], [
{{[2, 4, 1, 3, 5], [4, 2, 1, 5, 3]}}, 49/339748*1868614^(1/2), .1971509936], [{
{[1, 5, 2, 3, 4], [5, 2, 1, 3, 4]}}, 61/667717*4674019^(1/2), .1975070663], [{{
[1, 5, 3, 2, 4], [2, 1, 3, 4, 5]}}, 329/24970*227^(1/2), .1985136086], [{{[1, 2
, 5, 3, 4], [4, 1, 2, 5, 3]}}, 233/1032872*774654^(1/2), .1985469868], [{{[1, 5
, 4, 3, 2], [4, 1, 5, 2, 3]}}, 655/5360228*2680114^(1/2), .2000482103], [{{[1,
2, 5, 4, 3], [2, 3, 5, 1, 4]}}, 243/50008*1786^(1/2), .2053560561], [{{[1, 2, 5
, 3, 4], [3, 1, 4, 2, 5]}}, 895/9488138*4744069^(1/2), .2054553909], [{{[1, 5,
4, 2, 3], [3, 1, 5, 4, 2]}}, 635/4711028*2355514^(1/2), .2068716054], [{{[1, 2,
3, 4, 5], [1, 4, 5, 2, 3]}}, 195/2660927*7982781^(1/2), .2070516799], [{{[1, 3,
4, 2, 5], [4, 3, 1, 2, 5]}}, 165/1896167*5688501^(1/2), .2075421348], [{{[1, 5,
2, 4, 3], [5, 1, 3, 2, 4]}}, 48/935*17^(1/2), .2116674546], [{{[2, 4, 3, 5, 1],
[5, 4, 3, 2, 1]}}, 69/21085*4217^(1/2), .2125089796], [{{[1, 5, 2, 4, 3], [3, 1
, 5, 4, 2]}}, 635/404668*18394^(1/2), .2128202522], [{{[1, 5, 3, 2, 4], [5, 1,
4, 2, 3]}}, 139/10285*255^(1/2), .2158144871], [{{[1, 5, 3, 2, 4], [3, 1, 5, 2,
4]}}, 193/105820*14430^(1/2), .2190900818], [{{[1, 2, 5, 3, 4], [2, 4, 1, 3, 5]
}}, 967/9488138*4744069^(1/2), .2219836458], [{{[1, 5, 4, 2, 3], [5, 1, 2, 4, 3
]}}, 485/2177, .2227836472], [{{[1, 5, 2, 4, 3], [2, 5, 4, 1, 3]}}, 227/70312*
4794^(1/2), .2235349424], [{{[2, 5, 1, 4, 3], [3, 2, 5, 1, 4]}}, 121/541, .2236\
598891], [{{[1, 5, 2, 3, 4], [5, 1, 4, 2, 3]}}, 25/21131*36499^(1/2), .22602706\
28], [{{[2, 3, 5, 4, 1], [3, 2, 5, 1, 4]}}, 701/4711028*2355514^(1/2), .2283732\
211], [{{[1, 3, 4, 2, 5], [3, 2, 1, 5, 4]}}, 179/1830842*5492526^(1/2), .229133\
3079], [{{[3, 2, 4, 1, 5], [3, 4, 1, 5, 2]}}, 689/404668*18394^(1/2), .23091835\
23], [{{[2, 5, 3, 1, 4], [2, 1, 5, 3, 4]}}, 101/21892*2526^(1/2), .2318742955],
[{{[1, 3, 2, 4, 5], [4, 3, 1, 2, 5]}}, 215/2549267*7647801^(1/2), .2332337662],
[{{[2, 3, 5, 1, 4], [3, 5, 1, 2, 4]}}, 87/101708*76281^(1/2), .2362502774], [{{
[1, 5, 2, 4, 3], [3, 1, 5, 2, 4]}}, 665/359788*16354^(1/2), .2363670679], [{{[2
, 1, 4, 3, 5], [4, 1, 2, 5, 3]}}, 277/1021592*766194^(1/2), .2373403940], [{{[1
, 5, 4, 2, 3], [2, 1, 4, 5, 3]}}, 333/113204*6531^(1/2), .2377236023], [{{[1, 5
, 3, 2, 4], [5, 1, 2, 4, 3]}}, 159/119735*32655^(1/2), .2399666286], [{{[1, 5,
3, 2, 4], [2, 1, 4, 3, 5]}}, 357/298870*40755^(1/2), .2411439338], [{{[1, 3, 2,
4, 5], [3, 1, 5, 2, 4]}}, 149/1126502*3379506^(1/2), .2431537167], [{{[2, 5, 3,
1, 4], [2, 3, 4, 1, 5]}}, 661/3615548*1807774^(1/2), .2458099147], [{{[1, 3, 4,
2, 5], [3, 4, 2, 1, 5]}}, 197/1896167*5688501^(1/2), .2477927306], [{{[1, 2, 5,
3, 4], [3, 1, 5, 4, 2]}}, 875/5944508*2972254^(1/2), .2537669718], [{{[5, 2, 4,
3, 1], [5, 1, 3, 2, 4]}}, 1/201*2613^(1/2), .2543159785], [{{[3, 5, 1, 4, 2], [
5, 4, 3, 2, 1]}}, 517/4056754*4056754^(1/2), .2566854233], [{{[1, 5, 4, 2, 3],
[1, 3, 2, 5, 4]}}, 625/5914909*5914909^(1/2), .2569839401], [{{[2, 3, 5, 4, 1],
[5, 2, 3, 4, 1]}}, 593/5261809*5261809^(1/2), .2585158370], [{{[2, 1, 5, 4, 3],
[4, 1, 5, 2, 3]}}, 196/568591*568591^(1/2), .2599298049], [{{[1, 5, 3, 2, 4], [
2, 1, 4, 5, 3]}}, 67/572*5^(1/2), .2619170532], [{{[2, 3, 5, 1, 4], [2, 1, 3, 4
, 5]}}, 69/85352*106690^(1/2), .2640567332], [{{[1, 5, 3, 2, 4], [2, 5, 3, 1, 4
]}}, 219/92620*12630^(1/2), .2657302607], [{{[2, 4, 1, 3, 5], [3, 2, 5, 1, 4]}}
, 731/3737228*1868614^(1/2), .2673791769], [{{[1, 5, 3, 4, 2], [2, 1, 4, 5, 3]}
}, 121/780*3^(1/2), .2686899330], [{{[1, 2, 5, 3, 4], [2, 3, 5, 1, 4]}}, 317/
1032872*774654^(1/2), .2701261581], [{{[5, 2, 3, 4, 1], [5, 1, 3, 2, 4]}}, 67/
12085*2417^(1/2), .2725627317], [{{[2, 1, 5, 3, 4], [3, 2, 5, 1, 4]}}, 135/
28132*3246^(1/2), .2734056074], [{{[1, 5, 2, 4, 3], [5, 1, 2, 3, 4]}}, 622/
463199*42109^(1/2), .2755562308], [{{[1, 2, 5, 3, 4], [3, 2, 1, 5, 4]}}, 1325/
11548388*5774194^(1/2), .2757021781], [{{[1, 5, 3, 4, 2], [1, 3, 2, 5, 4]}}, 73
/13585*2717^(1/2), .2800967287], [{{[1, 5, 3, 2, 4], [5, 1, 3, 2, 4]}}, 4/55*15
^(1/2), .2816715161], [{{[1, 5, 3, 4, 2], [4, 1, 5, 3, 2]}}, 19/1128*282^(1/2),
.2828583836], [{{[2, 1, 3, 4, 5], [4, 3, 1, 2, 5]}}, 37/352985*7412685^(1/2), .\
2853863822], [{{[1, 5, 3, 2, 4], [2, 1, 3, 5, 4]}}, 417/290620*39630^(1/2), .28\
56423468], [{{[2, 5, 1, 3, 4], [2, 1, 3, 4, 5]}}, 75/85352*106690^(1/2), .28701\
81883], [{{[3, 5, 4, 1, 2], [5, 2, 3, 4, 1]}}, 107/31421*7251^(1/2), .289976449\
2], [{{[1, 5, 4, 2, 3], [4, 1, 5, 3, 2]}, {[1, 5, 4, 2, 3], [2, 5, 1, 3, 4]}},
303/818552*613914^(1/2), .2900348087], [{{[1, 3, 2, 4, 5], [4, 2, 3, 1, 5]}}, 
29/5855*3513^(1/2), .2935689864], [{{[3, 2, 4, 1, 5], [3, 4, 2, 5, 1]}}, 5/17,
.2941176471], [{{[2, 1, 3, 5, 4], [4, 2, 1, 5, 3]}}, 250/714661*714661^(1/2), .\
2957263121], [{{[1, 5, 4, 2, 3], [4, 1, 5, 2, 3]}}, 929/4711028*2355514^(1/2),
.3026515297], [{{[1, 5, 3, 2, 4], [5, 1, 2, 3, 4]}}, 214/136235*37155^(1/2), .3\
027845496], [{{[1, 3, 2, 5, 4], [2, 3, 5, 1, 4]}}, 355/1021592*766194^(1/2), .3\
041727072], [{{[2, 5, 1, 3, 4], [2, 4, 1, 3, 5]}}, 285/649352*487014^(1/2), .30\
62918214], [{{[1, 5, 3, 4, 2], [2, 5, 1, 4, 3]}}, 101/10820*1082^(1/2), .307049\
0397], [{{[1, 5, 4, 3, 2], [3, 1, 5, 4, 2]}}, 1009/5360228*2680114^(1/2), .3081\
658691], [{{[1, 3, 2, 4, 5], [3, 4, 1, 2, 5]}}, 265/738901*738901^(1/2), .30828\
52504], [{{[1, 3, 4, 5, 2], [2, 1, 3, 4, 5]}}, 557/4873690*7310535^(1/2), .3090\
095305], [{{[2, 4, 1, 5, 3], [3, 1, 4, 2, 5]}}, 797/3322748*1661374^(1/2), .309\
1680601], [{{[1, 3, 4, 2, 5], [3, 4, 1, 2, 5]}}, 231/549601*549601^(1/2), .3115\
933804], [{{[1, 5, 2, 4, 3], [2, 1, 3, 5, 4]}}, 1469/988108*44914^(1/2), .31507\
08668], [{{[2, 4, 1, 5, 3], [2, 3, 4, 1, 5]}}, 919/4130828*2065414^(1/2), .3197\
289471], [{{[1, 2, 5, 3, 4], [2, 3, 1, 4, 5]}}, 1759/5494, .3201674554], [{{[2,
3, 5, 1, 4], [3, 2, 5, 4, 1]}}, 313/237256*59314^(1/2), .3212963115], [{{[1, 5,
4, 2, 3], [2, 1, 5, 3, 4]}}, 453/113204*6531^(1/2), .3233897653], [{{[2, 5, 1,
4, 3], [4, 1, 5, 2, 3]}}, 175/541, .3234750462], [{{[1, 3, 5, 4, 2], [1, 4, 2,
3, 5]}}, 251/162877*44421^(1/2), .3247940955], [{{[1, 3, 2, 4, 5], [1, 5, 2, 4,
3]}}, 295/218977*59721^(1/2), .3292206362], [{{[1, 3, 2, 4, 5], [2, 1, 5, 4, 3]
}}, 299/2461442*7384326^(1/2), .3300935301], [{{[3, 2, 5, 4, 1], [5, 2, 3, 4, 1
]}}, 237/1525127*4575381^(1/2), .3323961374], [{{[2, 1, 3, 4, 5], [4, 2, 3, 1,
5]}}, 97/17025*3405^(1/2), .3324628870], [{{[1, 2, 5, 3, 4], [3, 1, 2, 4, 5]}},
1831/5494, .3332726611], [{{[1, 5, 2, 3, 4], [5, 1, 2, 4, 3]}}, 727/4674019*
4674019^(1/2), .3362708132], [{{[1, 5, 2, 3, 4], [5, 1, 3, 2, 4]}}, 78/10735*
2147^(1/2), .3366732227], [{{[1, 3, 2, 5, 4], [2, 3, 4, 1, 5]}}, 1627/614042*
16159^(1/2), .3368191038], [{{[2, 4, 5, 3, 1], [5, 2, 3, 4, 1]}}, 755/451979*
41089^(1/2), .3386035294], [{{[2, 5, 1, 4, 3], [5, 2, 1, 4, 3]}}, 325/1365484*
2048226^(1/2), .3406321869], [{{[1, 2, 5, 4, 3], [2, 5, 1, 3, 4]}}, 405/50008*
1786^(1/2), .3422600935], [{{[2, 4, 1, 3, 5], [2, 3, 5, 1, 4]}}, 29/59032*
487014^(1/2), .3428318984], [{{[2, 5, 1, 4, 3], [2, 3, 5, 1, 4]}}, 127/101708*
76281^(1/2), .3448710947], [{{[1, 5, 4, 3, 2], [2, 1, 5, 4, 3]}}, 1579/10413308
*5206654^(1/2), .3459973522], [{{[1, 5, 2, 4, 3], [5, 1, 2, 4, 3]}}, 67/37009*
37009^(1/2), .3482740590], [{{[2, 4, 5, 1, 3], [3, 2, 5, 4, 1]}}, 335/1365484*
2048226^(1/2), .3511131773], [{{[2, 5, 1, 3, 4], [3, 1, 2, 5, 4]}, {[2, 1, 5, 3
, 4], [3, 1, 4, 5, 2]}}, 45/1222*94^(1/2), .3570304314], [{{[1, 5, 3, 2, 4], [2
, 5, 1, 4, 3]}}, 67/23804*16230^(1/2), .3585783965], [{{[2, 3, 4, 1, 5], [4, 1,
2, 3, 5]}}, 773/2147, .3600372613], [{{[2, 1, 5, 4, 3], [4, 1, 2, 5, 3]}}, 185/
197588*148191^(1/2), .3604309507], [{{[1, 2, 5, 4, 3], [2, 3, 1, 5, 4]}}, 575/
6916*19^(1/2), .3624012280], [{{[2, 1, 5, 3, 4], [3, 1, 4, 2, 5]}}, 453/89804*
5181^(1/2), .3630858440], [{{[1, 2, 5, 3, 4], [2, 4, 1, 5, 3]}}, 1181/5285228*
2642614^(1/2), .3632478364], [{{[2, 3, 1, 5, 4], [4, 1, 2, 3, 5]}}, 39/8588*
6441^(1/2), .3644594545], [{{[1, 2, 5, 3, 4], [2, 5, 1, 4, 3]}}, 1307/5944508*
2972254^(1/2), .3790553512], [{{[1, 5, 4, 3, 2], [4, 1, 5, 3, 2]}}, 425/931352*
698514^(1/2), .3813841464], [{{[2, 4, 1, 3, 5], [2, 1, 5, 3, 4]}}, 477/89804*
5181^(1/2), .3823221801], [{{[5, 1, 4, 2, 3], [5, 4, 3, 2, 1]}}, 103/71689*
71689^(1/2), .3846900589], [{{[1, 3, 4, 2, 5], [3, 1, 2, 5, 4]}}, 150/11323*871
^(1/2), .3909658543], [{{[3, 5, 1, 2, 4], [4, 1, 5, 2, 3]}}, 214/541, .39556377\
08], [{{[1, 2, 5, 4, 3], [1, 4, 3, 2, 5]}}, 345/321461*137769^(1/2), .398351591\
7], [{{[2, 3, 1, 5, 4], [3, 4, 1, 2, 5]}}, 523/32812*631^(1/2), .4003904087], [
{{[2, 1, 5, 4, 3], [3, 2, 1, 5, 4]}}, 421/1051, .4005708849], [{{[1, 5, 3, 2, 4
], [2, 1, 5, 4, 3]}}, 105/46244*31530^(1/2), .4031771327], [{{[1, 5, 2, 3, 4],
[5, 1, 2, 3, 4]}}, 932/5318119*5318119^(1/2), .4041446991], [{{[1, 3, 4, 2, 5],
[3, 2, 4, 1, 5]}}, 315/162877*44421^(1/2), .4076101199], [{{[1, 4, 5, 2, 3], [1
, 3, 2, 5, 4]}}, 309/1714427*5143281^(1/2), .4087517339], [{{[2, 3, 4, 1, 5], [
4, 1, 3, 2, 5]}}, 269/118085*32205^(1/2), .4088078229], [{{[2, 1, 3, 4, 5], [3,
4, 1, 2, 5]}}, 349/716185*716185^(1/2), .4123944545], [{{[2, 1, 3, 5, 4], [4, 1
, 2, 3, 5]}}, 1975/11344748*5672374^(1/2), .4146242276], [{{[2, 5, 4, 1, 3], [2
, 3, 5, 1, 4]}}, 39/94, .4148936170], [{{[1, 5, 4, 2, 3], [2, 5, 4, 1, 3]}}, 
435/818552*613914^(1/2), .4163866066], [{{[1, 5, 3, 4, 2], [2, 1, 5, 4, 3]}}, 
191/21020*2102^(1/2), .4165978377], [{{[2, 3, 5, 1, 4], [3, 1, 5, 2, 4]}}, 145/
90428*67821^(1/2), .4175871933], [{{[4, 5, 1, 2, 3], [5, 4, 3, 2, 1]}}, 1255/
8864134*8864134^(1/2), .4215271668], [{{[1, 3, 4, 2, 5], [2, 3, 1, 5, 4]}}, 162
/11323*871^(1/2), .4222431227], [{{[1, 2, 5, 4, 3], [2, 4, 1, 5, 3]}}, 465/
255892*54834^(1/2), .4255212060], [{{[1, 2, 5, 4, 3], [2, 1, 3, 4, 5]}}, 877/
301910*21565^(1/2), .4265764016], [{{[1, 5, 4, 2, 3], [2, 1, 5, 4, 3]}}, 1829/
9152108*4576054^(1/2), .4275019889], [{{[2, 1, 3, 4, 5], [3, 1, 5, 2, 4]}}, 105
/436748*3275610^(1/2), .4351154139], [{{[1, 3, 2, 4, 5], [3, 2, 1, 5, 4]}}, 395
/2461442*7384326^(1/2), .4360767372], [{{[2, 5, 1, 3, 4], [2, 3, 5, 1, 4]}}, 41
/94, .4361702128], [{{[2, 1, 3, 5, 4], [4, 1, 2, 5, 3]}}, 251/248348*186261^(1/
2), .4361883076], [{{[1, 3, 5, 2, 4], [2, 1, 3, 4, 5]}}, 707/3920290*5880435^(1
/2), .4373266525], [{{[1, 3, 2, 4, 5], [1, 4, 3, 5, 2]}}, 74/12881*5855^(1/2),
.4395877579], [{{[2, 3, 5, 1, 4], [2, 1, 5, 3, 4]}}, 111/2444*94^(1/2), .440337\
5321], [{{[2, 3, 4, 1, 5], [3, 2, 5, 1, 4]}}, 1345/4646108*2323054^(1/2), .4412\
275645], [{{[1, 3, 2, 4, 5], [4, 2, 1, 3, 5]}}, 397/218977*59721^(1/2), .443052\
8563], [{{[1, 3, 2, 5, 4], [2, 4, 1, 5, 3]}}, 1435/402116*15466^(1/2), .4438023\
015], [{{[1, 5, 2, 4, 3], [2, 1, 4, 5, 3]}}, 55/884*51^(1/2), .4443196421], [{{
[1, 2, 5, 3, 4], [2, 5, 1, 3, 4]}}, 527/1032872*774654^(1/2), .4490740860], [{{
[1, 2, 5, 4, 3], [2, 1, 4, 3, 5]}}, 75/3458*429^(1/2), .4492260378], [{{[1, 5,
4, 2, 3], [2, 5, 1, 4, 3]}}, 197/673004*2355514^(1/2), .4492534547], [{{[2, 4,
1, 5, 3], [2, 4, 1, 3, 5]}}, 1169/3322748*1661374^(1/2), .4534723492], [{{[1, 2
, 5, 4, 3], [2, 5, 1, 4, 3]}}, 527/287812*61674^(1/2), .4547291299], [{{[1, 5,
2, 4, 3], [2, 5, 1, 3, 4]}}, 463/70312*4794^(1/2), .4559325037], [{{[1, 2, 5, 3
, 4], [1, 5, 4, 3, 2]}}, 1192/6804319*6804319^(1/2), .4569660361], [{{[2, 4, 1,
5, 3], [3, 4, 1, 5, 2]}}, 235/260221*260221^(1/2), .4606771714], [{{[1, 3, 2, 5
, 4], [2, 4, 1, 3, 5]}}, 1997/853138*38779^(1/2), .4609534620], [{{[1, 4, 3, 2,
5], [2, 1, 3, 5, 4]}}, 1165/6385714*6385714^(1/2), .4610215149], [{{[2, 5, 3, 4
, 1], [5, 4, 3, 2, 1]}}, 426/231935*63255^(1/2), .4619454975], [{{[2, 1, 5, 3,
4], [3, 1, 5, 4, 2]}}, 229/28132*3246^(1/2), .4637769192], [{{[1, 5, 3, 2, 4],
[2, 5, 1, 3, 4]}}, 89/4136*470^(1/2), .4665072586], [{{[2, 4, 1, 5, 3], [3, 2,
5, 1, 4]}}, 238/260221*260221^(1/2), .4665581566], [{{[1, 3, 4, 2, 5], [4, 1, 2
, 3, 5]}}, 372/1870037*5610111^(1/2), .4711709079], [{{[1, 2, 5, 3, 4], [2, 3,
1, 5, 4]}}, 749/142844*8241^(1/2), .4760030897], [{{[2, 5, 1, 4, 3], [3, 5, 1,
2, 4]}}, 259/541, .4787430684], [{{[2, 4, 3, 1, 5], [4, 1, 3, 2, 5]}}, 291/605,
.4809917355], [{{[1, 3, 4, 2, 5], [4, 1, 3, 2, 5]}}, 70/9581*4355^(1/2), .48214\
90102], [{{[1, 2, 5, 4, 3], [1, 4, 2, 3, 5]}}, 435/115843*16549^(1/2), .4830647\
404], [{{[2, 1, 5, 4, 3], [2, 1, 3, 4, 5]}}, 873/4771540*7157310^(1/2), .489475\
0830], [{{[1, 2, 5, 3, 4], [3, 1, 2, 5, 4]}}, 773/142844*8241^(1/2), .491255525\
2], [{{[1, 5, 3, 2, 4], [2, 1, 5, 3, 4]}}, 127/572*5^(1/2), .4964696382], [{{[1
, 3, 2, 4, 5], [1, 5, 2, 3, 4]}}, 24/132323*7542411^(1/2), .4981165830], [{{[4,
3, 2, 5, 1], [5, 2, 3, 4, 1]}}, 1150/5189299*5189299^(1/2), .5048280674], [{{[1
, 2, 5, 3, 4], [3, 1, 5, 2, 4]}}, 1649/5285228*2642614^(1/2), .5071936344], [{{
[2, 3, 4, 1, 5], [3, 2, 1, 5, 4]}}, 2155/9025988*4512994^(1/2), .5072066053], [
{{[3, 4, 2, 1, 5], [4, 1, 2, 3, 5]}}, 58/246001*4674019^(1/2), .5097254967], [{
{[1, 2, 5, 3, 4], [1, 4, 5, 3, 2]}}, 1262/5980219*5980219^(1/2), .5160607281],
[{{[1, 3, 2, 4, 5], [2, 1, 4, 5, 3]}}, 230/15223*1171^(1/2), .5170184437], [{{[
2, 1, 5, 4, 3], [2, 1, 4, 3, 5]}}, 2479/11422268*5711134^(1/2), .5186631054], [
{{[2, 3, 4, 1, 5], [4, 2, 1, 3, 5]}}, 1090/401489*36499^(1/2), .5186726285], [{
{[3, 2, 1, 5, 4], [3, 4, 1, 2, 5]}}, 693/2652724*3979086^(1/2), .5211141079], [
{{[1, 3, 2, 4, 5], [4, 1, 3, 2, 5]}}, 8/1171*5855^(1/2), .5227530094], [{{[1, 5
, 2, 4, 3], [1, 3, 2, 5, 4]}}, 1237/508079*46189^(1/2), .5232481900], [{{[2, 3,
4, 5, 1], [4, 2, 5, 3, 1]}}, 1090/4277779*4277779^(1/2), .5270081431], [{{[1, 2
, 5, 4, 3], [1, 3, 2, 4, 5]}}, 29/8197*22249^(1/2), .5277136294], [{{[2, 4, 1,
5, 3], [4, 2, 1, 5, 3]}}, 271/260221*260221^(1/2), .5312489933], [{{[2, 5, 4, 3
, 1], [5, 4, 3, 2, 1]}}, 1600/9053899*9053899^(1/2), .5317434634], [{{[2, 5, 3,
4, 1], [5, 2, 3, 4, 1]}}, 372/132935*36255^(1/2), .5328286328], [{{[1, 5, 2, 4,
3], [2, 5, 1, 4, 3]}}, 1619/404668*18394^(1/2), .5426078556], [{{[2, 5, 3, 1, 4
], [3, 5, 1, 2, 4]}}, 259/227761*227761^(1/2), .5427003274], [{{[2, 1, 5, 4, 3]
, [3, 1, 4, 5, 2]}}, 281/197588*148191^(1/2), .5474653901], [{{[2, 3, 1, 5, 4],
[2, 1, 5, 4, 3]}}, 29/4204*6306^(1/2), .5477876966], [{{[1, 2, 5, 3, 4], [1, 4,
3, 2, 5]}}, 1430/6639499*6639499^(1/2), .5549685630], [{{[1, 5, 3, 2, 4], [1, 3
, 2, 5, 4]}}, 414/149435*40755^(1/2), .5592918126], [{{[4, 2, 3, 5, 1], [5, 3,
2, 4, 1]}}, 406/47905*4355^(1/2), .5592928519], [{{[2, 1, 3, 4, 5], [4, 2, 1, 3
, 5]}}, 9/3859*57885^(1/2), .5611135414], [{{[2, 4, 1, 5, 3], [3, 1, 5, 2, 4]}}
, 271/481, .5634095634], [{{[2, 3, 5, 1, 4], [2, 3, 4, 1, 5]}}, 585/807272*
605454^(1/2), .5638668372], [{{[2, 4, 5, 3, 1], [4, 2, 3, 5, 1]}}, 364/10285*
255^(1/2), .5651544841], [{{[2, 4, 3, 1, 5], [2, 1, 3, 4, 5]}}, 94/2497*227^(1/
2), .5671817389], [{{[1, 5, 2, 4, 3], [2, 1, 5, 3, 4]}}, 773/9724*51^(1/2), .56\
77009642], [{{[1, 3, 2, 5, 4], [2, 1, 5, 4, 3]}}, 2731/11422268*5711134^(1/2),
.5713872291], [{{[1, 2, 5, 3, 4], [1, 5, 3, 4, 2]}}, 30/2747*2747^(1/2), .57238\
98513], [{{[1, 3, 2, 4, 5], [4, 1, 2, 3, 5]}}, 526/2514137*7542411^(1/2), .5745\
818481], [{{[1, 2, 5, 3, 4], [1, 4, 3, 5, 2]}}, 39/13735*41205^(1/2), .57638265\
39], [{{[1, 2, 5, 3, 4], [2, 1, 3, 4, 5]}}, 1179/6235690*9353535^(1/2), .578252\
0436], [{{[2, 5, 1, 3, 4], [3, 1, 5, 2, 4]}}, 201/90428*67821^(1/2), .578862247\
2], [{{[1, 3, 4, 2, 5], [2, 1, 3, 5, 4]}}, 509/2301182*6903546^(1/2), .58116964\
90], [{{[1, 3, 4, 2, 5], [2, 3, 4, 1, 5]}}, 460/1870037*5610111^(1/2), .5826306\
925], [{{[3, 5, 4, 1, 2], [5, 4, 3, 2, 1]}}, 287/54821*12651^(1/2), .5888400910
], [{{[1, 3, 2, 4, 5], [3, 1, 2, 5, 4]}}, 262/15223*1171^(1/2), .5889514447], [
{{[1, 2, 5, 3, 4], [2, 1, 4, 3, 5]}}, 3221/14927198*7463599^(1/2), .5895037611]
, [{{[1, 2, 5, 3, 4], [1, 5, 4, 2, 3]}}, 206/854317*5980219^(1/2), .5896668540]
, [{{[2, 3, 1, 5, 4], [3, 1, 4, 2, 5]}}, 745/89804*5181^(1/2), .5971279333], [{
{[3, 4, 5, 2, 1], [5, 4, 3, 2, 1]}}, 687/560861*240369^(1/2), .6005383184], [{{
[1, 2, 5, 4, 3], [1, 5, 4, 3, 2]}}, 529/329441*141189^(1/2), .6033626961], [{{[
3, 4, 2, 1, 5], [4, 1, 3, 2, 5]}}, 80/23947*32655^(1/2), .6036896316], [{{[2, 1
, 3, 5, 4], [3, 1, 4, 2, 5]}}, 235/829588*4562734^(1/2), .6050872145], [{{[2, 3
, 4, 5, 1], [4, 3, 2, 5, 1]}}, 1400/5318119*5318119^(1/2), .6070843120], [{{[2,
5, 1, 4, 3], [2, 1, 5, 3, 4]}}, 301/28132*3246^(1/2), .6095932431], [{{[1, 5, 2
, 4, 3], [2, 1, 5, 4, 3]}}, 2549/786148*35734^(1/2), .6129235921], [{{[2, 3, 1,
5, 4], [2, 3, 4, 1, 5]}}, 45/5876*6441^(1/2), .6146209736], [{{[5, 3, 1, 4, 2],
[5, 1, 3, 2, 4]}}, 128/8635*1727^(1/2), .6160185591], [{{[2, 4, 1, 5, 3], [2, 1
, 5, 3, 4]}}, 287/25012*2886^(1/2), .6164269816], [{{[1, 4, 3, 2, 5], [1, 3, 5,
2, 4]}}, 1268/4174159*4174159^(1/2), .6206328508], [{{[1, 2, 5, 3, 4], [1, 3, 4
, 2, 5]}}, 556/35711*1599^(1/2), .6225826473], [{{[2, 4, 1, 3, 5], [4, 3, 1, 2,
5]}}, 1208/3759679*3759679^(1/2), .6230050271], [{{[1, 2, 5, 3, 4], [1, 3, 4, 5
, 2]}}, 1525/5897809*5897809^(1/2), .6279491714], [{{[1, 5, 2, 3, 4], [1, 3, 2,
5, 4]}}, 80/16159*16159^(1/2), .6293362480], [{{[2, 4, 1, 3, 5], [3, 2, 1, 5, 4
]}}, 2405/7260308*3630154^(1/2), .6311354293], [{{[1, 3, 2, 4, 5], [3, 2, 1, 4,
5]}}, 661/155743*22249^(1/2), .6330648077], [{{[2, 4, 5, 1, 3], [2, 3, 5, 1, 4]
}}, 5/2164*76281^(1/2), .6381473010], [{{[2, 1, 3, 4, 5], [3, 2, 1, 5, 4]}}, 
1149/4771540*7157310^(1/2), .6442232194], [{{[1, 3, 2, 4, 5], [1, 4, 2, 5, 3]}}
, 530/2022317*6066951^(1/2), .6455232377], [{{[1, 2, 5, 4, 3], [2, 1, 3, 5, 4]}
}, 1173/702772*150594^(1/2), .6477201332], [{{[2, 3, 4, 1, 5], [2, 1, 3, 4, 5]}
}, 584/2436845*7310535^(1/2), .6479768968], [{{[1, 2, 5, 3, 4], [1, 4, 2, 3, 5]
}}, 580/35711*1599^(1/2), .6494567185], [{{[1, 3, 4, 2, 5], [2, 4, 1, 3, 5]}},
42/136747*4512651^(1/2), .6524501820], [{{[1, 2, 5, 3, 4], [1, 4, 5, 2, 3]}}, 
504/1733357*5200071^(1/2), .6630513360], [{{[3, 5, 2, 4, 1], [5, 4, 3, 2, 1]}},
1790/7282759*7282759^(1/2), .6632924618], [{{[2, 1, 3, 5, 4], [3, 1, 5, 2, 4]}}
, 529/635401*635401^(1/2), .6636387323], [{{[1, 4, 2, 5, 3], [1, 4, 2, 3, 5]}},
470/1504217*4512651^(1/2), .6637480207], [{{[2, 4, 1, 3, 5], [3, 4, 2, 1, 5]}},
1292/3759679*3759679^(1/2), .6663265688], [{{[2, 4, 1, 3, 5], [4, 1, 3, 2, 5]}}
, 79/18997*25905^(1/2), .6693200994], [{{[2, 1, 4, 5, 3], [2, 1, 3, 4, 5]}}, 
235/11804*1135^(1/2), .6707127964], [{{[2, 5, 1, 3, 4], [2, 1, 5, 3, 4]}}, 171/
2444*94^(1/2), .6783578197], [{{[1, 2, 5, 4, 3], [1, 5, 4, 2, 3]}}, 559/289541*
124089^(1/2), .6800931181], [{{[2, 1, 5, 4, 3], [3, 1, 5, 2, 4]}}, 484/505531*
505531^(1/2), .6807246314], [{{[1, 4, 3, 2, 5], [2, 1, 3, 4, 5]}}, 651/2743295*
8229885^(1/2), .6807777606], [{{[5, 3, 2, 1, 4], [5, 1, 3, 2, 4]}}, 158/10735*
2147^(1/2), .6819790922], [{{[2, 3, 1, 5, 4], [2, 1, 5, 3, 4]}}, 116/169, .6863\
905325], [{{[1, 3, 2, 5, 4], [2, 3, 1, 5, 4]}}, 1075/141284*8151^(1/2), .686943\
3580], [{{[1, 2, 5, 3, 4], [1, 3, 2, 4, 5]}}, 712/3216737*9650211^(1/2), .68759\
52117], [{{[2, 4, 1, 3, 5], [4, 1, 2, 3, 5]}}, 1327/3707869*3707869^(1/2), .689\
1420206], [{{[2, 1, 5, 4, 3], [3, 1, 5, 4, 2]}}, 520/568591*568591^(1/2), .6896\
096864], [{{[2, 3, 4, 1, 5], [3, 4, 1, 2, 5]}}, 464/1354757*4064271^(1/2), .690\
4749162], [{{[1, 2, 5, 3, 4], [1, 3, 5, 4, 2]}}, 1658/513689*46699^(1/2), .6974\
901047], [{{[1, 2, 5, 4, 3], [1, 4, 3, 5, 2]}}, 524/7315*95^(1/2), .6981982552]
, [{{[2, 5, 3, 1, 4], [2, 3, 5, 1, 4]}}, 227/79148*59361^(1/2), .6987736443], [
{{[1, 5, 4, 3, 2], [1, 5, 3, 2, 4]}}, 494/136235*37155^(1/2), .6989512498], [{{
[1, 2, 5, 4, 3], [1, 5, 3, 4, 2]}}, 37/399*57^(1/2), .7001099601], [{{[1, 3, 2,
4, 5], [3, 1, 4, 2, 5]}}, 576/2022317*6066951^(1/2), .7015497829], [{{[1, 3, 2,
5, 4], [2, 1, 4, 5, 3]}}, 1099/141284*8151^(1/2), .7022797678], [{{[2, 4, 1, 3,
5], [2, 3, 1, 5, 4]}}, 877/89804*5181^(1/2), .7029277818], [{{[2, 1, 5, 3, 4],
[3, 1, 2, 5, 4]}}, 119/169, .7041420118], [{{[2, 4, 5, 3, 1], [3, 4, 2, 5, 1]}}
, 1457/2057, .7083130773], [{{[1, 3, 2, 5, 4], [2, 1, 4, 3, 5]}}, 3859/5434, .7\
101582628], [{{[1, 4, 3, 2, 5], [1, 3, 2, 5, 4]}}, 1825/6566989*6566989^(1/2),
.7121635215], [{{[2, 3, 5, 4, 1], [3, 4, 2, 5, 1]}}, 1517/407099*37009^(1/2), .\
7168680429], [{{[1, 2, 5, 3, 4], [2, 1, 4, 5, 3]}}, 1145/142844*8241^(1/2), .72\
76682746], [{{[1, 3, 2, 4, 5], [2, 1, 3, 5, 4]}}, 749/3093782*9281346^(1/2), .7\
375603995], [{{[3, 5, 4, 2, 1], [5, 4, 3, 2, 1]}}, 2528/11584099*11584099^(1/2)
, .7427556075], [{{[4, 5, 2, 3, 1], [5, 4, 3, 1, 2]}}, 1509/6167590*9251385^(1/
2), .7441785047], [{{[1, 2, 5, 3, 4], [2, 1, 3, 5, 4]}}, 4025/14515148*7257574^
(1/2), .7470336289], [{{[2, 4, 1, 3, 5], [4, 2, 1, 3, 5]}}, 1412/322949*29359^(
1/2), .7491544820], [{{[1, 5, 3, 2, 4], [1, 5, 3, 4, 2]}}, 32/165*15^(1/2), .75\
11240427], [{{[1, 2, 5, 4, 3], [1, 5, 2, 3, 4]}}, 614/15029*339^(1/2), .7522083\
253], [{{[2, 1, 3, 5, 4], [3, 2, 1, 5, 4]}}, 889/1388371*1388371^(1/2), .754482\
1931], [{{[2, 1, 3, 4, 5], [3, 1, 2, 5, 4]}}, 1327/59020*1135^(1/2), .757477345\
4], [{{[2, 4, 3, 1, 5], [3, 4, 1, 2, 5]}}, 94/6941*3155^(1/2), .7606861185], [{
{[1, 2, 5, 4, 3], [1, 3, 2, 5, 4]}}, 699/19019*429^(1/2), .7612339402], [{{[1,
3, 2, 4, 5], [3, 1, 2, 4, 5]}}, 790/3216737*9650211^(1/2), .7629216536], [{{[1,
2, 5, 4, 3], [1, 4, 5, 2, 3]}}, 31/4417*11989^(1/2), .7684679772], [{{[1, 3, 4,
2, 5], [2, 1, 3, 4, 5]}}, 153/197717*988585^(1/2), .7694039771], [{{[1, 2, 5, 3
, 4], [2, 1, 5, 4, 3]}}, 3701/11548388*5774194^(1/2), .7700934046], [{{[4, 5, 3
, 2, 1], [5, 4, 3, 1, 2]}}, 1753/2270, .7722466960], [{{[1, 2, 5, 3, 4], [1, 5,
3, 2, 4]}}, 579/151085*41205^(1/2), .7779150504], [{{[2, 4, 1, 3, 5], [3, 4, 1,
2, 5]}}, 470/1089737*3269211^(1/2), .7798258673], [{{[1, 2, 3, 4, 5], [2, 1, 3,
5, 4]}}, 2605/11141314*11141314^(1/2), .7804400005], [{{[2, 4, 1, 3, 5], [3, 2,
4, 1, 5]}}, 1472/322949*29359^(1/2), .7809882419], [{{[2, 3, 4, 1, 5], [3, 4, 2
, 1, 5]}}, 1690/4674019*4674019^(1/2), .7817024406], [{{[1, 2, 5, 4, 3], [2, 1,
4, 5, 3]}}, 1243/6916*19^(1/2), .7834169156], [{{[2, 1, 5, 3, 4], [3, 1, 5, 2,
4]}}, 365/25012*2886^(1/2), .7839576596], [{{[1, 4, 2, 3, 5], [1, 3, 2, 5, 4]}}
, 701/182039*42009^(1/2), .7892684606], [{{[1, 5, 4, 3, 2], [1, 5, 2, 4, 3]}},
1795/463199*42109^(1/2), .7952145246], [{{[1, 2, 5, 3, 4], [1, 5, 2, 4, 3]}}, 
1910/513689*46699^(1/2), .8035018696], [{{[2, 1, 3, 4, 5], [3, 2, 1, 4, 5]}}, 
167/30191*21565^(1/2), .8122948585], [{{[2, 4, 1, 3, 5], [2, 3, 4, 1, 5]}}, 
1585/3707869*3707869^(1/2), .8231274323], [{{[2, 4, 3, 1, 5], [2, 4, 1, 3, 5]}}
, 489/94985*25905^(1/2), .8286013383], [{{[2, 4, 1, 3, 5], [2, 1, 3, 4, 5]}}, 
674/1960145*5880435^(1/2), .8338279033], [{{[3, 2, 4, 1, 5], [3, 4, 1, 2, 5]}},
549/117997*32181^(1/2), .8346437513], [{{[1, 4, 2, 5, 3], [1, 3, 2, 5, 4]}}, 
1822/426569*38779^(1/2), .8411188861], [{{[2, 4, 3, 5, 1], [3, 2, 5, 4, 1]}}, 
61/3155*1893^(1/2), .8412126183], [{{[1, 2, 5, 3, 4], [2, 1, 5, 3, 4]}}, 1325/
142844*8241^(1/2), .8420615406], [{{[1, 2, 5, 3, 4], [1, 5, 2, 3, 4]}}, 2047/
5897809*5897809^(1/2), .8428930844], [{{[1, 2, 5, 4, 3], [1, 5, 2, 4, 3]}}, 675
/24871*969^(1/2), .8448360042], [{{[1, 2, 5, 4, 3], [2, 1, 5, 4, 3]}}, 195/
79876*119814^(1/2), .8450299207], [{{[1, 3, 2, 5, 4], [2, 1, 3, 5, 4]}}, 4531/
14356628*7178314^(1/2), .8455763754], [{{[1, 2, 5, 3, 4], [1, 4, 2, 5, 3]}}, 
1847/4744069*4744069^(1/2), .8479913006], [{{[1, 5, 3, 4, 2], [1, 5, 2, 4, 3]}}
, 193/935*17^(1/2), .8510795570], [{{[1, 5, 3, 2, 4], [1, 5, 4, 2, 3]}}, 564/
119735*32655^(1/2), .8512023806], [{{[2, 3, 5, 1, 4], [3, 2, 5, 1, 4]}}, 315/
101708*76281^(1/2), .8553889354], [{{[2, 3, 5, 4, 1], [3, 2, 4, 5, 1]}}, 1865/
2177, .8566835094], [{{[2, 3, 4, 5, 1], [3, 2, 5, 4, 1]}}, 619/1562987*4688961^
(1/2), .8575779255], [{{[1, 2, 3, 4, 5], [1, 4, 3, 2, 5]}}, 2741/10192489*
10192489^(1/2), .8585565578], [{{[1, 3, 2, 4, 5], [2, 1, 4, 3, 5]}}, 887/
3181607*9544821^(1/2), .8613129571], [{{[2, 1, 4, 5, 3], [2, 1, 5, 3, 4]}}, 293
/338, .8668639053], [{{[4, 5, 3, 2, 1], [5, 4, 2, 3, 1]}}, 1001/1329085*1329085
^(1/2), .8682758044], [{{[1, 2, 5, 3, 4], [1, 3, 2, 5, 4]}}, 2380/7463599*
7463599^(1/2), .8711697928], [{{[2, 4, 1, 3, 5], [3, 1, 4, 2, 5]}}, 1505/1727,
.8714533874], [{{[2, 1, 3, 4, 5], [2, 1, 3, 5, 4]}}, 1749/5997340*8996010^(1/2)
, .8746939119], [{{[2, 1, 3, 5, 4], [3, 1, 2, 5, 4]}}, 677/68692*7926^(1/2), .8\
774240648], [{{[4, 5, 2, 3, 1], [5, 4, 2, 3, 1]}}, 905/3181607*9544821^(1/2), .\
8787916866], [{{[1, 2, 5, 4, 3], [1, 4, 2, 5, 3]}}, 92/32813*98439^(1/2), .8796\
815542], [{{[1, 3, 2, 4, 5], [2, 1, 3, 4, 5]}}, 203/265817*1329085^(1/2), .8804\
195220], [{{[4, 5, 2, 3, 1], [5, 4, 3, 2, 1]}}, 2995/11457589*11457589^(1/2), .\
8848103762], [{{[1, 3, 2, 4, 5], [1, 4, 3, 2, 5]}}, 871/2830307*8490921^(1/2),
.8967306408], [{{[1, 2, 3, 4, 5], [1, 2, 3, 5, 4]}}, 1137/4786295*14358885^(1/2
), .9001634208], [{{[2, 3, 1, 4, 5], [3, 1, 2, 4, 5]}}, 2477/2747, .9017109574]
, [{{[2, 1, 3, 4, 5], [3, 1, 2, 4, 5]}}, 924/3117845*9353535^(1/2), .9063696154
], [{{[1, 5, 3, 2, 4], [1, 5, 2, 4, 3]}}, 584/10285*255^(1/2), .9067313700], [{
{[1, 5, 4, 2, 3], [1, 5, 2, 4, 3]}}, 25/5287*37009^(1/2), .9096710498], [{{[1,
5, 3, 4, 2], [1, 5, 4, 2, 3]}}, 213/10885*2177^(1/2), .9130201969], [{{[2, 1, 4
, 5, 3], [2, 1, 5, 4, 3]}}, 635/54652*6306^(1/2), .9226662792], [{{[1, 2, 3, 4,
5], [1, 4, 2, 3, 5]}}, 1021/3673007*11019021^(1/2), .9227318074], [{{[2, 3, 5,
4, 1], [3, 2, 5, 4, 1]}}, 625/1373687*4121061^(1/2), .9236272778], [{{[2, 3, 4,
1, 5], [3, 2, 4, 1, 5]}}, 1942/401489*36499^(1/2), .9240938023], [{{[1, 5, 4, 3
, 2], [1, 5, 4, 2, 3]}}, 2167/5392429*5392429^(1/2), .9331827315], [{{[1, 2, 5,
3, 4], [1, 3, 5, 2, 4]}}, 2045/4744069*4744069^(1/2), .9388967026], [{{[1, 2, 5
, 3, 4], [1, 2, 5, 4, 3]}}, 870/365351*156579^(1/2), .9422707497], [{{[1, 3, 2,
4, 5], [1, 3, 4, 2, 5]}}, 957/1019941*1019941^(1/2), .9475986050], [{{[1, 4, 2,
3, 5], [1, 3, 4, 2, 5]}}, 839/871, .9632606200], [{{[2, 4, 3, 1, 5], [2, 3, 4,
1, 5]}}, 639/118085*32205^(1/2), .9711085460], [{{[5, 4, 2, 3, 1], [5, 3, 4, 2,
1]}}, 1139/1171, .9726729291], [{{[1, 4, 3, 2, 5], [1, 3, 4, 2, 5]}}, 817/
2105207*6315621^(1/2), .9752933910], [{{[1, 5, 4, 3, 2], [1, 5, 3, 4, 2]}}, 243
/12385*2477^(1/2), .9765022897], [{{[2, 1, 3, 4, 5], [2, 1, 4, 3, 5]}}, 999/
3083795*9251385^(1/2), .9853337656], [{{[1, 2, 3, 4, 5], [1, 3, 2, 4, 5]}}, 
1267/4938107*14814321^(1/2), .9875452268]]
         The list of Asymtotic Correlations of size , 6, is as follows

[[{{[2, 1, 3, 4, 6, 5], [5, 6, 4, 3, 1, 2]}}, -22279/24336, -.9154750164], [{{[
2, 1, 3, 4, 6, 5], [5, 6, 4, 1, 3, 2]}}, -40603/6429072*20606^(1/2), -.90658114\
28], [{{[2, 1, 3, 4, 6, 5], [5, 6, 3, 4, 1, 2]}}, -233/12519*2354^(1/2), -.9030\
036605], [{{[2, 1, 4, 3, 6, 5], [5, 6, 3, 4, 1, 2]}}, -1739/1926, -.9029075805]
, [{{[2, 1, 3, 4, 6, 5], [5, 4, 6, 1, 3, 2]}}, -509/49179*7566^(1/2), -.9002668\
474], [{{[2, 1, 3, 4, 5, 6], [5, 4, 6, 2, 1, 3]}}, -40561/507542028*126885507^(
1/2), -.9002075535], [{{[1, 3, 2, 4, 6, 5], [4, 6, 5, 1, 3, 2]}}, -12587/
195971818*195971818^(1/2), -.8991360721], [{{[2, 1, 3, 4, 6, 5], [5, 4, 6, 2, 1
, 3]}}, -509/148967*68754^(1/2), -.8959353976], [{{[2, 1, 3, 5, 6, 4], [5, 6, 3
, 4, 1, 2]}}, -2257/8819368*12126631^(1/2), -.8911774235], [{{[2, 1, 4, 3, 6, 5
], [5, 4, 6, 1, 3, 2]}}, -3043/7286058*4452591^(1/2), -.8812836856], [{{[2, 1,
6, 5, 4, 3], [5, 4, 3, 2, 1, 6]}}, -1997/736694*105242^(1/2), -.8793980098], [{
{[2, 1, 3, 4, 5, 6], [5, 4, 6, 1, 3, 2]}}, -19703/83778318*13963053^(1/2), -.87\
88017511], [{{[1, 2, 4, 3, 6, 5], [4, 6, 5, 1, 3, 2]}}, -6231/25141046*12570523
^(1/2), -.8787211552], [{{[2, 1, 4, 3, 6, 5], [5, 4, 6, 2, 1, 3]}}, -3043/
22070034*40461729^(1/2), -.8770435695], [{{[1, 3, 2, 4, 6, 5], [4, 6, 5, 3, 1,
2]}}, -80357/2114422872*528605718^(1/2), -.8737713386], [{{[2, 1, 3, 5, 6, 4],
[5, 6, 4, 2, 1, 3]}}, -17999/20606, -.8734834514], [{{[5, 6, 3, 4, 1, 2], [2, 4
, 1, 3, 6, 5]}}, -2873/260652*6206^(1/2), -.8683212907], [{{[2, 1, 3, 4, 6, 5],
[5, 6, 4, 1, 2, 3]}}, -39023/6474312*20751^(1/2), -.8682535040], [{{[2, 1, 3, 5
, 6, 4], [5, 6, 4, 3, 2, 1]}}, -21383/152113492*38028373^(1/2), -.8668715943],
[{{[1, 3, 2, 4, 6, 5], [4, 6, 5, 2, 1, 3]}}, -8043/43131244*21565622^(1/2), -.8\
659784383], [{{[1, 2, 3, 4, 5, 6], [5, 4, 6, 1, 3, 2]}}, -21082/65858247*
7317583^(1/2), -.8659353536], [{{[2, 1, 3, 4, 5, 6], [5, 4, 6, 1, 2, 3]}}, -\
1783/23378794*128583367^(1/2), -.8648118576], [{{[2, 1, 3, 5, 6, 4], [5, 6, 4,
1, 3, 2]}}, -71171/82424, -.8634742308], [{{[5, 6, 4, 3, 1, 2], [2, 1, 4, 6, 3,
5]}}, -6121/126672*319^(1/2), -.8630522585], [{{[1, 2, 3, 4, 5, 6], [5, 4, 6, 2
, 1, 3]}}, -21082/28498533*1357073^(1/2), -.8617690831], [{{[1, 2, 3, 4, 5, 6],
[5, 4, 6, 1, 2, 3]}}, -3839/110268606*606477333^(1/2), -.8573803280], [{{[1, 2,
4, 3, 5, 6], [5, 3, 6, 1, 4, 2]}}, -1387/4806228*8811418^(1/2), -.8566333808],
[{{[1, 3, 2, 4, 5, 6], [4, 6, 5, 1, 3, 2]}}, -19682/1056852111*2113704222^(1/2)
, -.8562037305], [{{[1, 2, 4, 3, 6, 5], [4, 6, 5, 2, 1, 3]}}, -929/1276908*
1383317^(1/2), -.8556909980], [{{[2, 1, 4, 3, 6, 5], [5, 3, 6, 1, 4, 2]}}, -18/
3103*21721^(1/2), -.8549301579], [{{[2, 1, 3, 6, 4, 5], [5, 6, 4, 1, 3, 2]}}, -\
35173/41212, -.8534650102], [{{[1, 2, 4, 3, 6, 5], [4, 6, 2, 5, 1, 3]}}, -2521/
8016876*7348803^(1/2), -.8524638715], [{{[1, 2, 3, 4, 5, 6], [5, 3, 6, 1, 4, 2]
}}, -2899/3029166*793353^(1/2), -.8524293136], [{{[1, 3, 2, 4, 6, 5], [5, 6, 4,
3, 1, 2]}}, -10649/2000934*25653^(1/2), -.8524033421], [{{[2, 1, 3, 4, 6, 5], [
5, 4, 6, 1, 2, 3]}}, -797/247026*69674^(1/2), -.8516301484], [{{[1, 3, 2, 4, 5,
6], [4, 6, 5, 2, 1, 3]}}, -77903/1395609228*232601538^(1/2), -.8513274580], [{{
[2, 3, 4, 1, 6, 5], [5, 6, 1, 4, 3, 2]}}, -14864/17471, -.8507812947], [{{[3, 5
, 4, 6, 1, 2], [6, 1, 2, 3, 4, 5]}}, -16348/35168301*3349362^(1/2), -.850734970\
9], [{{[1, 3, 2, 4, 6, 5], [4, 6, 5, 1, 2, 3]}}, -1633/81243051*1787347122^(1/2
), -.8497759053], [{{[4, 6, 5, 1, 3, 2], [2, 1, 3, 4, 5, 6]}}, -38251/507542028
*126885507^(1/2), -.8489396003], [{{[1, 2, 3, 4, 5, 6], [4, 5, 6, 1, 2, 3]}}, -\
1007/9864271*69049897^(1/2), -.8482932143], [{{[2, 1, 6, 5, 4, 3], [5, 4, 2, 3,
1, 6]}}, -8099/60786633*40524422^(1/2), -.8481676919], [{{[2, 1, 3, 6, 5, 4], [
5, 6, 3, 4, 1, 2]}}, -6461/53288568*48847854^(1/2), -.8473999530], [{{[1, 2, 4,
3, 6, 5], [5, 6, 4, 1, 3, 2]}}, -26269/180838256*33907173^(1/2), -.8458610391],
[{{[2, 1, 3, 4, 5, 6], [5, 3, 6, 1, 4, 2]}}, -63/214078*8242003^(1/2), -.844860\
2840], [{{[1, 4, 2, 3, 6, 5], [4, 6, 5, 1, 3, 2]}}, -64447/1456072212*364018053
^(1/2), -.8444642200], [{{[1, 2, 3, 4, 6, 5], [5, 6, 4, 2, 1, 3]}}, -41611/
304226984*38028373^(1/2), -.8434596154], [{{[1, 3, 2, 4, 6, 5], [5, 6, 3, 4, 1,
2]}}, -7147/65876904*60387162^(1/2), -.8430685941], [{{[1, 3, 2, 5, 6, 4], [5,
6, 4, 3, 1, 2]}}, -38641/13506792*86582^(1/2), -.8418019975], [{{[2, 1, 3, 4, 6
, 5], [5, 3, 6, 1, 4, 2]}}, -2393/190008*4466^(1/2), -.8416473713], [{{[1, 3, 2
, 4, 5, 6], [4, 6, 5, 1, 2, 3]}}, -3539/194726162*2141987782^(1/2), -.841133157\
6], [{{[1, 2, 4, 3, 5, 6], [5, 4, 6, 1, 3, 2]}}, -38989/179132616*14927718^(1/2
), -.8409383128], [{{[1, 3, 2, 4, 5, 6], [5, 3, 6, 1, 4, 2]}}, -1791/24963316*
137298238^(1/2), -.8406704721], [{{[1, 3, 4, 5, 6, 2], [4, 6, 2, 1, 3, 5]}}, -\
24641/430572126*215286063^(1/2), -.8396926951], [{{[1, 3, 2, 4, 6, 5], [5, 6, 4
, 2, 1, 3]}}, -38611/1057211436*528605718^(1/2), -.8396825457], [{{[4, 3, 5, 1,
6, 2], [1, 6, 2, 4, 3, 5]}}, -7747/42568514*21284257^(1/2), -.8396036409], [{{[
2, 1, 3, 4, 5, 6], [4, 5, 6, 1, 3, 2]}}, -3461/46757588*128583367^(1/2), -.8393\
476834], [{{[2, 1, 4, 3, 5, 6], [4, 5, 6, 2, 1, 3]}}, -1633/20845194*114648567^
(1/2), -.8388118533], [{{[2, 1, 3, 4, 6, 5], [5, 6, 4, 3, 2, 1]}}, -44971/
4606368*7382^(1/2), -.8388048537], [{{[1, 3, 2, 5, 4, 6], [5, 4, 6, 1, 3, 2]}},
-361/26481*3783^(1/2), -.8384766853], [{{[1, 3, 2, 4, 5, 6], [5, 4, 6, 2, 1, 3]
}}, -38539/2113704222*2113704222^(1/2), -.8382592107], [{{[2, 1, 6, 4, 3, 5], [
5, 4, 3, 1, 6, 2]}}, -23393/389851382*194925691^(1/2), -.8377634015], [{{[1, 2,
4, 3, 5, 6], [5, 4, 6, 2, 1, 3]}}, -38989/542606568*135651642^(1/2), -.83689231\
08], [{{[2, 1, 3, 6, 5, 4], [5, 6, 4, 3, 2, 1]}}, -41431/612735528*153183882^(1
/2), -.8368717132], [{{[1, 3, 2, 5, 4, 6], [5, 4, 6, 2, 1, 3]}}, -361/80213*
34377^(1/2), -.8344425268], [{{[1, 3, 2, 4, 6, 5], [4, 6, 2, 5, 1, 3]}}, -4867/
62490708*114566298^(1/2), -.8336319304], [{{[2, 1, 3, 5, 6, 4], [5, 6, 3, 1, 4,
2]}}, -1359/4183018*6573314^(1/2), -.8329557155], [{{[1, 3, 2, 4, 6, 5], [4, 6,
3, 5, 1, 2]}}, -433/1487874*8183307^(1/2), -.8325036836], [{{[1, 3, 2, 5, 6, 4]
, [5, 6, 4, 1, 3, 2]}}, -35161/892054346*446027173^(1/2), -.8324354440], [{{[1,
3, 2, 4, 5, 6], [4, 5, 6, 2, 1, 3]}}, -7003/389452324*2141987782^(1/2), -.83222\
03309], [{{[1, 3, 2, 5, 4, 6], [5, 3, 6, 1, 4, 2]}}, -2474/140679*2233^(1/2), -\
.8310263303], [{{[1, 3, 2, 4, 6, 5], [4, 5, 6, 3, 1, 2]}}, -4511/41751012*
59147267^(1/2), -.8309466883], [{{[2, 1, 3, 4, 5, 6], [5, 3, 6, 4, 1, 2]}}, -\
6487/11988368*2354858^(1/2), -.8303595679], [{{[1, 2, 4, 3, 5, 6], [4, 5, 6, 1,
3, 2]}}, -3539/49987928*137466802^(1/2), -.8300692809], [{{[1, 3, 2, 5, 6, 4],
[5, 6, 3, 4, 1, 2]}}, -1077/9264274*50953507^(1/2), -.8298342439], [{{[1, 2, 4,
3, 6, 5], [5, 6, 3, 1, 4, 2]}}, -382/668073*2099658^(1/2), -.8285404643], [{{[2
, 1, 4, 3, 6, 5], [6, 5, 4, 3, 1, 2]}}, -3761/9478488*4344307^(1/2), -.82703620\
65], [{{[2, 1, 4, 3, 6, 5], [4, 5, 6, 1, 3, 2]}}, -1444/1016607*338869^(1/2), -\
.8268562587], [{{[3, 6, 5, 4, 1, 2], [5, 1, 2, 3, 6, 4]}}, -48761/1741299628*
870649814^(1/2), -.8262678452], [{{[2, 1, 3, 5, 6, 4], [5, 6, 3, 2, 4, 1]}}, -\
34491/436393868*109098467^(1/2), -.8255368630], [{{[2, 1, 3, 4, 5, 6], [4, 5, 6
, 1, 2, 3]}}, -37891/527030508*131757627^(1/2), -.8252550560], [{{[1, 3, 2, 4,
6, 5], [5, 4, 6, 2, 1, 3]}}, -5771/97985909*195971818^(1/2), -.8244878482], [{{
[1, 2, 4, 3, 6, 5], [5, 4, 6, 2, 1, 3]}}, -2923/12570523*12570523^(1/2), -.8244\
268774], [{{[2, 1, 3, 5, 6, 4], [5, 4, 6, 3, 2, 1]}}, -75497/1049175096*
131146887^(1/2), -.8240635679], [{{[1, 2, 3, 6, 4, 5], [5, 6, 4, 3, 1, 2]}}, -\
1709/330954*25458^(1/2), -.8239228915], [{{[1, 2, 4, 3, 6, 5], [4, 6, 3, 1, 5,
2]}}, -6209/18952869*6317623^(1/2), -.8234240590], [{{[2, 1, 3, 5, 6, 4], [5, 4
, 6, 2, 1, 3]}}, -61961/1416744924*354186231^(1/2), -.8230810252], [{{[1, 2, 4,
5, 3, 6], [4, 6, 2, 5, 1, 3]}}, -404/883659*3240083^(1/2), -.8229524219], [{{[1
, 3, 2, 5, 6, 4], [4, 6, 5, 3, 1, 2]}}, -69497/1784108692*446027173^(1/2), -.82\
26695210], [{{[1, 3, 2, 4, 5, 6], [4, 5, 6, 1, 2, 3]}}, -19247/1097432871*
2194865742^(1/2), -.8216541666], [{{[1, 2, 4, 3, 6, 5], [5, 6, 4, 2, 1, 3]}}, -\
25499/180838256*33907173^(1/2), -.8210670614], [{{[3, 4, 6, 5, 1, 2], [6, 1, 2,
3, 4, 5]}}, -16153/9234834*219877^(1/2), -.8201891147], [{{[1, 2, 4, 3, 5, 6],
[4, 5, 6, 1, 2, 3]}}, -38869/563441448*140860362^(1/2), -.8187455944], [{{[1, 2
, 4, 5, 3, 6], [5, 3, 6, 1, 4, 2]}}, -689/1514844*3240083^(1/2), -.8187086492],
[{{[1, 4, 2, 3, 6, 5], [4, 6, 2, 5, 1, 3]}}, -2171/12897402*23645237^(1/2), -.8\
185202392], [{{[1, 2, 4, 3, 6, 5], [5, 6, 4, 3, 1, 2]}}, -13807/1369056*6582^(1
/2), -.8181954332], [{{[1, 3, 2, 4, 5, 6], [4, 6, 5, 3, 1, 2]}}, -82373/
2533961032*633490258^(1/2), -.8181914212], [{{[1, 4, 2, 3, 6, 5], [4, 6, 3, 5,
1, 2]}}, -1353/4299134*6755782^(1/2), -.8180024949], [{{[1, 2, 4, 3, 6, 5], [5,
6, 3, 4, 1, 2]}}, -3511/8451288*3873507^(1/2), -.8176361799], [{{[1, 3, 2, 4, 6
, 5], [5, 6, 2, 4, 1, 3]}}, -496/1735853*8183307^(1/2), -.8173972162], [{{[1, 2
, 3, 4, 5, 6], [5, 4, 6, 3, 1, 2]}}, -21887/358729854*179364927^(1/2), -.817123\
0842], [{{[1, 3, 2, 5, 4, 6], [5, 4, 6, 1, 2, 3]}}, -6403/1463154*34837^(1/2),
-.8167964417], [{{[3, 4, 5, 6, 1, 2], [6, 2, 1, 3, 4, 5]}}, -2881/22826052*
41847762^(1/2), -.8164856844], [{{[2, 1, 6, 4, 3, 5], [5, 4, 3, 6, 1, 2]}}, -\
53981/1093405064*273351266^(1/2), -.8162447285], [{{[2, 1, 3, 6, 4, 5], [4, 6,
5, 2, 1, 3]}, {[2, 1, 3, 6, 4, 5], [5, 4, 6, 1, 3, 2]}}, -15284/116928747*
38976249^(1/2), -.8160480921], [{{[1, 2, 3, 4, 5, 6], [4, 5, 6, 3, 1, 2]}}, -\
14613/160557404*80278702^(1/2), -.8154723079], [{{[1, 2, 3, 6, 4, 5], [5, 6, 4,
1, 3, 2]}}, -9334/131146887*131146887^(1/2), -.8150585420], [{{[1, 2, 3, 5, 6,
4], [4, 6, 5, 1, 3, 2]}}, -68137/583446444*48620537^(1/2), -.8143139721], [{{[1
, 3, 2, 5, 4, 6], [5, 6, 4, 1, 3, 2]}}, -6943/865452*10303^(1/2), -.8143029896]
, [{{[1, 4, 2, 3, 6, 5], [5, 3, 6, 1, 4, 2]}}, -1439/8598268*23645237^(1/2), -.\
8138074328], [{{[2, 1, 3, 5, 6, 4], [5, 6, 2, 4, 1, 3]}}, -5311/16732072*
6573314^(1/2), -.8138020246], [{{[3, 5, 4, 6, 1, 2], [6, 1, 2, 4, 3, 5]}}, -\
58417/2579406684*1289703342^(1/2), -.8133254118], [{{[1, 2, 4, 5, 3, 6], [4, 6,
3, 1, 5, 2]}}, -48853/300827124*25068927^(1/2), -.8130965522], [{{[1, 3, 2, 4,
6, 5], [4, 5, 6, 2, 1, 3]}}, -6247/324972204*1787347122^(1/2), -.8126990327], [
{{[2, 1, 4, 3, 5, 6], [4, 5, 6, 1, 3, 2]}}, -3161/41690388*114648567^(1/2), -.8\
118445402], [{{[2, 1, 3, 5, 6, 4], [5, 6, 4, 1, 2, 3]}}, -8392/213797553*
427595106^(1/2), -.8116692778], [{{[1, 2, 4, 3, 6, 5], [5, 6, 4, 1, 2, 3]}}, -\
75887/364221552*15175898^(1/2), -.8116689701], [{{[1, 4, 3, 5, 6, 2], [4, 6, 2,
1, 3, 5]}}, -44557/107707236*3846687^(1/2), -.8113616682], [{{[1, 2, 3, 4, 6, 5
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