z1 := (1,3)(2,4)(5,7,12,22,14,8)(6,9,16,29,18,10)(11,19,34,60,36,20)(13,23,40,
     69,42,24)(15,26,46,80,48,27)(17,30,52,89,54,31)(21,37,64,110,66,38)(25,
     43,74,126,76,44)(28,49,84,143,86,50)(32,55,94,159,96,56)(33,57,98,166,
     100,58)(35,61,104,175,106,62)(39,67,115,192,116,68)(41,70,119,198,121,71)
     (45,77,131,216,133,78)(47,81,137,224,139,82)(51,87,148,240,149,88)(53,90,
     152,247,154,91)(59,101,72,122,171,102)(63,107,180,287,182,108)(65,111,
     186,296,188,112)(73,123,204,169,206,124)(75,127,210,329,211,128)(79,134,
     92,155,221,135)(83,140,226,348,228,141)(85,144,233,246,235,145)(93,156,
     253,383,255,157)(95,160,259,390,261,161)(97,163,213,129,212,164)(99,167,
     268,404,270,168)(103,172,274,208,276,173)(105,176,281,299,282,177)(109,
     162,262,394,292,183)(113,189,125,207,302,190)(114,138)(117,194,257,184,
     222,136)(118,195,308,446,310,196)(120,199,314,280,316,200)(130,214,333,
     362,335,215)(132,217,325,461,337,218)(142,229,249,153,248,230)(146,236,
     158,256,361,237)(147,201,317,382,363,238)(150,242,353,231,352,243)(151,
     244,372,456,374,245)(165,265,398,334,400,266)(170,271,407,304,409,272)
     (174,277,294,185,293,278)(178,283,420,550,422,284)(179,285,424,527,391,
     260)(181,288,427,557,428,289)(187,297,433,419,435,298)(191,303,440,487,
     346,225)(193,305,344,223,343,306)(197,311,450,418,451,312)(202,318,417,
     279,416,319)(203,320,396,264,395,321)(205,323,355,232,354,324)(209,327,
     463,581,464,328)(219,338,474,457,476,339)(220,340,478,366,479,341)(227,
     349,491,601,492,350)(234,356,432,375,496,357)(239,364,502,599,504,365)
     (241,367,385,254,384,368)(250,377,453,313,452,378)(251,379,485,345,484,
     380)(252,381,518,503,431,295)(258,387,521,558,522,388)(263,376)(267,401,
     445,466,330,402)(269,405,275,412,538,406)(273,410,542,577,454,411)(286,
     425,554,622,530,397)(290,429,501,606,559,430)(291,393)(300,436,426,555,
     462,326)(301,437,536,465,564,438)(307,443,571,646,572,444)(309,447,548,
     415,547,448)(315,455,579,586,469,332)(322,459,498,358,497,460)(331,467,
     494,351,493,468)(336,471,587,505,588,472)(342,480,592,654,594,481)(347,
     488,473,512,373,489)(359,360,500,605,525,499)(369,507,371,511,607,508)
     (370,509,470,583,604,510)(386,519,563,490,600,520)(389,523,617,551,421,
     524)(392,515,613,639,620,528)(399,514,486,598,565,439)(403,534,591,630,
     541,535)(408,539,629,582,475,540)(413,543,631,584,506,544)(414,545,632,
     602,495,546)(423,531,623,645,570,552)(434,561,578,595,482,562)(441,566,
     589,653,636,567)(442,568,585,615,517,569)(449,573,647,614,516,560)(458,
     580)(477,590)(483,596,657,648,574,597)(513,611,608,633,549,612)(526,618,
     593,655,649,575)(529,621,634,637,635,553)(532,624,667,642,628,625)(533,
     610,663,652,659,626)(537,627,616,556,638,609)(576,650,664,658,669,651)
     (603,619,666,661,662,660)(640,670)(641,644)(643,668)(656,671)(665,672);