We list x, y, k for all Belyi maps in the Miranda Persson list having coefficients in Q. The entries x[r],y[r],k[r] are polynomials in z satisfying x[r]^3-y[r]^2=k[r]. The number 24-degree(k[r]) together with the zero multiplicities of k[r] form the partition[r] of 24. A publication about the computations involved is under way. We like to point out two ways in which a large number of the Belyi maps below can be generated. The first is by starting with a similar map as below, but this time of degree 12. This comes from a list of 6 maps known as the 'Beauville'-list. Choose two points which are in the inverse image of infinity. Call them p and q. The replace z in the rational map by (p*z^2+q)/(z^2+1). When p=infinity we simply replace z -> z^2+q. A second way is to construct a Belyi map of degree 8 of the form C^2/A, where C,A are relatively prime polynomials and C has degree 4. Then take x=4C^2-3A, y=C(8C^2-9A), k=27A^2(C^2-A) and we find one of the entries below. Since there are 57 Belyi maps of the form C^2/A we can expect many entries below of this type. Of course the two short cuts mentioned above do not give us the complete list yet. partition[1]={19, 1, 1, 1, 1, 1} x[1]=4*(1 + 12*z + 4*z^3 + 11*z^4 - 6*z^5 + 7*z^6 - 2*z^7 + z^8) y[1]=4*(29 + 9*z + 27*z^2 + 120*z^3 - 30*z^4 + 72*z^5 + 60*z^6 - 48*z^7 + 78*z^8 - 38*z^9 + 24*z^10 - 6*z^11 + 2*z^12) k[1]=-432*(31 + 14*z - 3*z^2 + 18*z^3 - 5*z^4 + 4*z^5) partition[2]={18, 2, 1, 1, 1, 1} x[2]=(1 + z^2)*(1 + 27*z^2 + 27*z^4 + 9*z^6) y[2]=-1 + 54*z^2 + 297*z^4 + 504*z^6 + 405*z^8 + 162*z^10 + 27*z^12 k[2]=64*z^2*(3 + 3*z^2 + z^4) partition[3]={17, 3, 1, 1, 1, 1} x[3]=4*(1 + 4*z - 16*z^2 + 12*z^3 + 27*z^4 - 18*z^5 - 9*z^6 + 18*z^7 + 9*z^8) y[3]=4*(-5 + 21*z - 63*z^2 + 270*z^4 - 216*z^5 - 252*z^6 + 432*z^7 + 162*z^8 - 270*z^9 + 162*z^11 + 54*z^12) k[3]=16*(-1 + 4*z)^3*(21 - 6*z - 9*z^2 + 14*z^3 + 9*z^4) partition[4]={16, 4, 1, 1, 1, 1} x[4]=16 + 16*z^4 + z^8 y[4]=(8 + z^4)*(-8 + 16*z^4 + z^8) k[4]=1728*z^4*(16 + z^4) partition[5]={16, 3, 2, 1, 1, 1} x[5]=16 + 128*z^3 + 48*z^4 + 64*z^6 + 48*z^7 + 9*z^8 y[5]=(8 + 8*z^3 + 3*z^4)*(-8 + 128*z^3 + 48*z^4 + 64*z^6 + 48*z^7 + 9*z^8) k[5]=1728*z^3*(2 + z)^2*(8 + 3*z)*(4 - 4*z + 3*z^2) partition[6]={16, 2, 2, 2, 1, 1} x[6]=4*(1 - 16*z^2 + 20*z^4 - 8*z^6 + z^8) y[6]=4*(2 - 4*z^2 + z^4)*(-1 - 32*z^2 + 40*z^4 - 16*z^6 + 2*z^8) k[6]=432*(-2 + z)*z^2*(2 + z)*(-2 + z^2)^2 partition[7]={15, 3, 3, 1, 1, 1} x[7]=(-1 - z + z^2)*(23 - 51*z + 45*z^3 - 27*z^5 + 9*z^6) y[7]=11 - 354*z + 639*z^2 + 450*z^3 - 1350*z^4 - 270*z^5 + 1575*z^6 - 270*z^7 - 810*z^8 + 270*z^9 + 243*z^10 - 162*z^11 + 27*z^12 k[7]=64*(-1 + z)^3*(-4 + 3*z)^3*(-3 - 3*z + z^3) partition[8]={15, 3, 2, 2, 1, 1} x[8]=(-5 + z^2)*(-5 - 48*z + 75*z^2 - 15*z^4 + z^6) y[8]=-1475 + 4680*z - 4386*z^2 - 5400*z^3 + 6675*z^4 + 1080*z^5 - 2320*z^6 - 72*z^7 + 375*z^8 - 30*z^10 + z^12 k[8]=1728*(-5 + 2*z)^3*(1 - 3*z + z^2)^2*(10 + 6*z + z^2) partition[9]={14, 5, 2, 1, 1, 1} x[9]=16 + 32*z - 112*z^5 + 56*z^6 - 40*z^7 + 25*z^8 y[9]=(-8 - 8*z + 4*z^2 - 4*z^3 + 5*z^4)*(-8 - 16*z - 112*z^5 + 56*z^6 - 40*z^7 + 25*z^8) k[9]=1728*z^5*(1 + 2*z)^2*(-112 + 56*z - 40*z^2 + 25*z^3) partition[10]={14, 4, 3, 1, 1, 1} x[10]=2843200 - 677440*z + 12880*z^2 - 12544*z^3 + 10780*z^4 - 700*z^5 - 35*z^6 - 10*z^7 + z^8 y[10]=-4793465600 + 1705146240*z - 96359424*z^2 - 49058240*z^3 + 38354400*z^4 - 6083280*z^5 + 16800*z^6 - 61416*z^7 + 22770*z^8 - 725*z^9 - 15*z^10 - 15*z^11 + z^12 k[10]=8707129344*(-5 + z)^3*(-1 + 3*z)^4*(-5980 - 264*z - 3*z^2 + 5*z^3) partition[11]={14, 3, 3, 2, 1, 1} x[11]=1377 - 1620*z - 1134*z^2 + 315*z^4 - 14*z^6 - 4*z^7 + z^8 y[11]=(81 - 18*z - 9*z^2 - 2*z^3 + z^4)*(-1215 - 972*z - 1134*z^2 + 315*z^4 - 14*z^6 - 4*z^7 + z^8) k[11]=1259712*(-4 + z)^2*(-3 - 3*z + z^2)^3*(13 + 5*z + z^2) partition[12]={14, 3, 3, 2, 1, 1} x[12]=122913 + 42756*z - 90566*z^2 + 22632*z^3 + 4275*z^4 - 1096*z^5 - 102*z^6 + 12*z^7 + z^8 y[12]=-95702607 + 119882214*z - 77543667*z^2 + 16739110*z^3 + 7724250*z^4 - 3157290*z^5 - 183435*z^6 + 143010*z^7 + 3690*z^8 - 2670*z^9 - 99*z^10 + 18*z^11 + z^12 k[12]=1259712*(8 + z)^2*(-441 + 21*z + 5*z^2)*(59 - 71*z + 17*z^2)^3 partition[13]={14, 3, 2, 2, 2, 1} x[13]=4*(1 - 12*z + 784*z^3 + 1764*z^4 + 1512*z^5 + 616*z^6 + 120*z^7 + 9*z^8) y[13]=4*(-2 + 12*z + 36*z^2 + 20*z^3 + 3*z^4)* (-1 + 12*z + 1568*z^3 + 3528*z^4 + 3024*z^5 + 1232*z^6 + 240*z^7 + 18*z^8) k[13]=432*z^3*(4 + z)*(-1 + 12*z)^2*(14 + 14*z + 3*z^2)^2 partition[14]={13, 7, 1, 1, 1, 1} x[14]=4*(4 - 214*z + 301*z^2 + 210*z^3 + 182*z^4 + 98*z^5 + 21*z^6 + 6*z^7 + z^8) y[14]=4*(11 - 1497*z + 13893*z^2 + 506*z^3 + 6936*z^4 + 10776*z^5 + 8736*z^6 + 3708*z^7 + 1536*z^8 + 456*z^9 + 90*z^10 + 18*z^11 + 2*z^12) k[14]=-432*(1 + 4*z)^7*(-5 + 442*z + 69*z^2 + 26*z^3 + 7*z^4) partition[15]={13, 5, 3, 1, 1, 1} x[15]=14825 - 38640*z - 7540*z^2 + 7008*z^3 + 2790*z^4 - 720*z^5 - 180*z^6 + 9*z^8 y[15]=-9195925 - 2919480*z + 391158*z^2 + 3869280*z^3 + 239085*z^4 - 829440*z^5 - 81180*z^6 + 63936*z^7 + 16605*z^8 - 3240*z^9 - 810*z^10 + 27*z^12 k[15]=-64*(5 + 4*z)^3*(-31 + 9*z)^5*(-355 - 9*z + 15*z^2 + 5*z^3) partition[16]={13, 4, 3, 2, 1, 1} x[16]=6717775617 - 9658896744*z - 1742916644*z^2 - 76683768*z^3 + 1687350*z^4 + 135016*z^5 - 1092*z^6 - 72*z^7 + z^8 y[16]=-27767317832673759 - 8456684968568988*z - 962708687649054*z^2 - 26614895965660*z^3 + 3450932103735*z^4 + 259074228456*z^5 + 257749212*z^6 - 370971864*z^7 - 2621385*z^8 + 284820*z^9 + 306*z^10 - 108*z^11 + z^12 k[16]=-918330048*(109 + 5*z)^2*(73 + 8*z)^3*(303 + 17*z)^4* (21543 - 730*z + 7*z^2) partition[17]={13, 3, 3, 2, 2, 1} x[17]=29606400 - 10544640*z + 490240*z^2 - 274944*z^3 + 14880*z^4 - 1600*z^5 + 240*z^6 + z^8 y[17]=349261977600 - 26355179520*z + 20498328576*z^2 - 2260183040*z^3 + 347472000*z^4 - 65882880*z^5 + 3509760*z^6 - 700416*z^7 + 43920*z^8 - 2400*z^9 + 360*z^10 + z^12 k[17]=322486272*(-10 + z)*(430 + 17*z + 4*z^2)^3*(612 + 24*z + 5*z^2)^2 partition[18]={12, 6, 3, 1, 1, 1} x[18]=(-18 + z^2)*(4536 - 5184*z + 1620*z^2 - 54*z^4 + z^6) y[18]=-16376256 + 5038848*z + 13226976*z^2 - 10077696*z^3 + 1837080*z^4 + 419904*z^5 - 153576*z^6 - 7776*z^7 + 5832*z^8 - 108*z^10 + z^12 k[18]=-34012224*(-4 + z)^6*(-3 + z)^3*(-216 + 9*z^2 + z^3) partition[19]={12, 6, 2, 2, 1, 1} x[19]=(2 + z^2)*(8 - 12*z^2 + 6*z^4 + z^6) y[19]=(-8 + 4*z^2 + z^4)*(-8 + 8*z^2 + 8*z^6 + z^8) k[19]=1728*(-1 + z)^2*z^6*(1 + z)^2*(8 + z^2) partition[20]={12, 6, 2, 2, 1, 1} x[20]=1 - 6*z + 21*z^2 + 3024*z^6 + 5184*z^7 + 5184*z^8 y[20]=(1 - 3*z + 6*z^2 + 18*z^3 + 36*z^4)*(-1 + 6*z - 21*z^2 + 6048*z^6 + 10368*z^7 + 10368*z^8) k[20]=2916*z^6*(7 + 12*z + 12*z^2)*(1 - 6*z + 21*z^2)^2 partition[21]={12, 5, 2, 2, 2, 1} x[21]=4*(9 - 24*z + 70*z^2 + 784*z^5 + 756*z^6 + 240*z^7 + 25*z^8) y[21]=4*(6 - 8*z + 18*z^2 + 24*z^3 + 5*z^4)* (-9 + 24*z - 70*z^2 + 1568*z^5 + 1512*z^6 + 480*z^7 + 50*z^8) k[21]=432*z^5*(4 + z)*(14 + 5*z)^2*(9 - 24*z + 70*z^2)^2 partition[22]={12, 4, 4, 2, 1, 1} x[22]=177 + 696*z + 1392*z^2 + 1728*z^3 + 1488*z^4 + 960*z^5 + 448*z^6 + 128*z^7 + 16*z^8 y[22]=(9 + 12*z + 12*z^2 + 8*z^3 + 2*z^4)* (207 + 1224*z + 2736*z^2 + 3456*z^3 + 2976*z^4 + 1920*z^5 + 896*z^6 + 256*z^7 + 32*z^8) k[22]=108*(1 + z)^4*(2 + z)^2*(7 + 4*z)^4*(2 + z^2) partition[23]={12, 4, 3, 3, 1, 1} x[23]=(-3 + z^2)*(-3 + 3*z^2 - 9*z^4 + z^6) y[23]=(-3 - 6*z^2 + z^4)*(9 - 36*z^2 + 30*z^4 - 12*z^6 + z^8) k[23]=1728*(-3 + z)*(-1 + z)^3*z^4*(1 + z)^3*(3 + z) partition[24]={12, 4, 3, 3, 1, 1} x[24]=(-15 + z^2)*(2865 - 3456*z + 1155*z^2 - 45*z^4 + z^6) y[24]=-5597775 + 1321920*z + 6057126*z^2 - 4743360*z^3 + 910575*z^4 + 233280*z^5 - 90540*z^6 - 5184*z^7 + 4095*z^8 - 90*z^10 + z^12 k[24]=-110592*(-3 + z)^4*(45 + 12*z + z^2)*(65 - 36*z + 5*z^2)^3 partition[25]={12, 4, 3, 2, 2, 1} x[25]=4*(1 - 4*z + 4*z^2 + 16*z^3 - 28*z^4 - 8*z^5 + 16*z^6 + 8*z^7 + z^8) y[25]=4*(2 - 4*z + 4*z^3 + z^4)*(-1 + 4*z - 4*z^2 + 32*z^3 - 56*z^4 - 16*z^5 + 32*z^6 + 16*z^7 + 2*z^8) k[25]=432*z^3*(4 + z)*(-1 + 2*z)^4*(-2 + 2*z + z^2)^2 partition[26]={12, 3, 3, 3, 2, 1} x[26]=(-10 + z^2)*(-40 - 192*z + 180*z^2 - 30*z^4 + z^6) y[26]=-94400 + 149760*z - 60576*z^2 - 69120*z^3 + 58200*z^4 + 8640*z^5 - 13160*z^6 - 288*z^7 + 1320*z^8 - 60*z^10 + z^12 k[26]=1728*(-5 + z)*(-1 + z)^3*(4 + z)^2*(-40 + 8*z + 5*z^2)^3 partition[27]={12, 3, 3, 2, 2, 2} x[27]=4*(3 + z^2)*(3 + 21*z^2 + 9*z^4 + z^6) y[27]=4*(6 + 6*z^2 + z^4)*(-9 + 126*z^2 + 96*z^4 + 24*z^6 + 2*z^8) k[27]=432*z^2*(4 + z^2)^3*(9 + 2*z^2)^2 partition[28]={11, 9, 1, 1, 1, 1} x[28]=4*(81 - 108*z - 432*z^2 + 1068*z^3 - 701*z^4 - 18*z^5 + 95*z^6 + 18*z^7 + z^8) y[28]=4*(-5103 + 34263*z - 98901*z^2 + 154440*z^3 - 127710*z^4 + 32472*z^5 + 28028*z^6 - 17424*z^7 - 2442*z^8 + 1782*z^9 + 528*z^10 + 54*z^11 + 2*z^12) k[28]=432*(-3 + 4*z)^9*(45 - 102*z + 47*z^2 + 14*z^3 + z^4) partition[29]={11, 5, 5, 1, 1, 1} x[29]=64801 - 44176*z + 2156*z^2 - 5984*z^3 + 374*z^4 - 176*z^5 + 44*z^6 + z^8 y[29]=39710033 - 376536*z + 10003554*z^2 - 1227424*z^3 + 707223*z^4 - 249216*z^5 + 21868*z^6 - 14784*z^7 + 1287*z^8 - 264*z^9 + 66*z^10 + z^12 k[29]=1728*(91 + 9*z + 4*z^2)^5*(-121 + 11*z - 3*z^2 + z^3) partition[30]={11, 5, 3, 2, 2, 1} x[30]=4*(-45225702 - 923724*z + 3745084*z^2 - 9408*z^3 - 85470*z^4 + 3304*z^5 + 588*z^6 - 48*z^7 + z^8) y[30]=4*(-66353420349 - 246944877552*z - 5096943954*z^2 + 17601199360*z^3 - 110139255*z^4 - 501048540*z^5 + 20050800*z^6 + 6187680*z^7 - 494190*z^8 - 18600*z^9 + 3492*z^10 - 144*z^11 + 2*z^12) k[30]=-432*(-53 + 3*z)*(43 + 7*z)^3*(-141 + 8*z)^5*(-243 + 5*z^2)^2 partition[31]={11, 4, 4, 3, 1, 1} x[31]=-855 + 1110*z + 3145*z^2 + 2190*z^3 + 900*z^4 + 278*z^5 + 57*z^6 + 6*z^7 + z^8 y[31]=97173 + 296973*z + 339867*z^2 + 254980*z^3 + 177705*z^4 + 107019*z^5 + 46794*z^6 + 14751*z^7 + 3465*z^8 + 660*z^9 + 99*z^10 + 9*z^11 + z^12 k[31]=-1728*(2 + z)^3*(111 - z + 3*z^2)*(9 + 9*z + 5*z^2)^4 partition[32]={11, 4, 3, 3, 2, 1} x[32]=-200880 - 728640*z + 244720*z^2 + 97440*z^3 + 168000*z^4 + 41888*z^5 + 3192*z^6 + 96*z^7 + z^8 y[32]=-215877312 + 289795968*z + 441376992*z^2 + 670055680*z^3 - 19381320*z^4 + 87754464*z^5 + 75709704*z^6 + 25945776*z^7 + 3563640*z^8 + 237360*z^9 + 8244*z^10 + 144*z^11 + z^12 k[32]=-1259712*(26 + z)^2*(153 + 4*z)*(9 + 5*z)^4*(4 - 4*z + 7*z^2)^3 partition[33]={10, 10, 1, 1, 1, 1} x[33]=1 - 12*z^2 + 14*z^4 + 12*z^6 + z^8 y[33]=(1 + z^4)*(1 - 18*z^2 + 74*z^4 + 18*z^6 + z^8) k[33]=-1728*z^10*(-1 + 11*z^2 + z^4) partition[34]={10, 8, 3, 1, 1, 1} x[34]=1808 + 19104*z + 42104*z^2 + 20568*z^3 + 2385*z^4 - 2196*z^5 + 1062*z^6 - 108*z^7 + 9*z^8 y[34]=-76864 - 1219008*z - 5894064*z^2 - 9947520*z^3 - 6741900*z^4 - 630828*z^5 - 233541*z^6 + 31482*z^7 + 138105*z^8 - 35640*z^9 + 6237*z^10 - 486*z^11 + 27*z^12 k[34]=64*(1 + z)^3*(-2 + 9*z)^8*(124 + 1008*z - 105*z^2 + 11*z^3) partition[35]={10, 8, 3, 1, 1, 1} x[35]=-4736 - 52992*z + 108192*z^2 + 3136*z^3 + 9520*z^4 - 336*z^5 - 287*z^6 + 2*z^7 + z^8 y[35]=5977088 - 21050496*z + 15447168*z^2 - 7592640*z^3 + 23327040*z^4 - 191664*z^5 - 395472*z^6 + 60456*z^7 + 44880*z^8 - 935*z^9 - 429*z^10 + 3*z^11 + z^12 k[35]=442368*(-1 + z)^7*(15 + 7*z)^4*(1600 - 2864*z + 3*z^2 + 11*z^3) partition[36]={10, 7, 2, 2, 2, 1} x[36]=4*(25 - 20*z + 14*z^2 - 14*z^3 + 4*z^7 + z^8) y[36]=4*(-10 + 4*z - 2*z^2 + 2*z^3 + z^4)*(-25 + 20*z - 14*z^2 + 14*z^3 + 8*z^7 + 2*z^8) k[36]=432*z^7*(4 + z)*(-25 + 20*z - 14*z^2 + 14*z^3)^2 partition[37]={10, 6, 5, 1, 1, 1} x[37]=25 + 600*z + 2700*z^2 + 1288*z^3 + 5670*z^4 + 3240*z^5 + 940*z^6 + 120*z^7 + 9*z^8 y[37]=(-5 - 60*z + 90*z^2 + 20*z^3 + 3*z^4)* (25 + 600*z + 2700*z^2 + 7432*z^3 + 5670*z^4 + 3240*z^5 + 940*z^6 + 120*z^7 + 9*z^8) k[37]=113246208*z^6*(1 + z)^5*(25 + 475*z + 75*z^2 + 9*z^3) partition[38]={10, 6, 4, 2, 1, 1} x[38]=27945 - 101880*z + 122500*z^2 - 36120*z^3 + 4830*z^4 + 2072*z^5 + 420*z^6 + 24*z^7 + z^8 y[38]=(333 - 620*z + 138*z^2 + 12*z^3 + z^4)* (-13527 + 53640*z - 54404*z^2 + 27384*z^3 + 4830*z^4 + 2072*z^5 + 420*z^6 + 24*z^7 + z^8) k[38]=1259712*(1 + z)^6*(-1 + 2*z)^2*(-8 + 7*z)^4*(297 + 18*z + z^2) partition[76]={10, 6, 4, 2, 1, 1} x[76]=144*z^8 - 1536*z^7 + 5248*z^6 - 5568*z^5 - 720*z^4 + 512*z^3 + 192*z^2 + 24*z + 1 y[76]=(1 + 12*z + 24*z^2 - 32*z^3 + 6*z^4)*(-1 - 24*z - 192*z^2 - 512*z^3 - 1440*z^4 - 11136*z^5 + 10496*z^6 - 3072*z^7 + 288*z^8 k[76]=108*(8*z+1)^6*z^4*(z-3)^2*(9*z^2 - 42*z - 5) partition[39]={10, 6, 3, 2, 2, 1} x[39]=4*(193 - 76*z - 16*z^2 + 48*z^3 + 20*z^4 - 24*z^5 + 8*z^6 + 8*z^7 + z^8) y[39]=4*(-14 + 4*z - 4*z^2 + 4*z^3 + z^4)* (383 - 116*z - 176*z^2 + 288*z^3 + 40*z^4 - 48*z^5 + 16*z^6 + 16*z^7 + 2*z^8) k[39]=432*(2 + z)^3*(6 + z)*(-1 + 4*z)^6*(2 - 2*z + z^2)^2 partition[40]={10, 5, 2, 2, 2, 2} x[40]=4*(9 - 12*z + 22*z^2 + 6*z^3 + 64*z^5 + 48*z^6 + 12*z^7 + z^8) y[40]=4*(6 - 4*z + 6*z^2 + 6*z^3 + z^4)*(-9 + 12*z - 22*z^2 - 6*z^3 + 128*z^5 + 96*z^6 + 24*z^7 + 2*z^8) k[40]=432*z^5*(4 + z)^3*(9 - 12*z + 22*z^2 + 6*z^3)^2 partition[41]={10, 4, 4, 3, 2, 1} x[41]=80128 + 8192*z - 6944*z^2 + 3136*z^3 + 2345*z^4 + 28*z^5 - 98*z^6 - 4*z^7 + z^8 y[41]=(-304 - 88*z - 51*z^2 - 2*z^3 + z^4)* (73984 - 14464*z - 29792*z^2 - 392*z^3 + 2345*z^4 + 28*z^5 - 98*z^6 - 4*z^7 + z^8) k[41]=1728*(-11 + z)*(-3 + z)^3*(4 + z)^4*(16 + 3*z)^2*(4 + 7*z)^4 partition[42]={10, 4, 3, 3, 2, 2} x[42]=15625 - 5000*z - 9500*z^2 - 1192*z^3 + 7550*z^4 + 3560*z^5 + 580*z^6 + 40*z^7 + z^8 y[42]=(125 - 20*z + 90*z^2 + 20*z^3 + z^4)* (15625 - 5000*z - 25700*z^2 - 2488*z^3 + 7550*z^4 + 3560*z^5 + 580*z^6 + 40*z^7 + z^8) k[42]=1259712*(-1 + z)^2*z^4*(25 + 2*z)^2*(25 + 14*z + z^2)^3 partition[43]={9, 9, 2, 2, 1, 1} x[43]=(-1 + z)*(3 + z)*(-243 + 486*z - 81*z^2 + 260*z^3 + 27*z^4 + 54*z^5 + 9*z^6) y[43]=19683 - 78732*z + 91854*z^2 - 47628*z^3 + 40581*z^4 - 7128*z^5 + 4004*z^6 + 2376*z^7 + 4509*z^8 + 1764*z^9 + 1134*z^10 + 324*z^11 + 27*z^12 k[43]=-16777216*z^9*(3 + z^2)^2*(-3 + 6*z + z^2) partition[44]={9, 7, 5, 1, 1, 1} x[44]=-1863 + 11232*z - 15876*z^2 - 16464*z^3 + 42070*z^4 - 11872*z^5 + 2268*z^6 - 144*z^7 + 9*z^8 y[44]=78003 - 1131408*z + 6394302*z^2 - 17996040*z^3 + 26342685*z^4 - 19154160*z^5 + 7450100*z^6 - 3747600*z^7 + 974565*z^8 - 128160*z^9 + 12798*z^10 - 648*z^11 + 27*z^12 k[44]=64*(-3 + 4*z)^7*(-3 + 7*z)^5*(-369 + 879*z - 51*z^2 + 5*z^3) partition[45]={9, 6, 4, 3, 1, 1} x[45]=(-10 + z^2)*(-1160 - 672*z - 780*z^2 - 800*z^3 - 270*z^4 + 9*z^6) y[45]=-596800 + 1706880*z + 3279648*z^2 + 1709440*z^3 - 58200*z^4 - 293280*z^5 + 45080*z^6 + 104976*z^7 + 24840*z^8 - 3600*z^9 - 1620*z^10 + 27*z^12 k[45]=64*(1 + z)^4*(-5 + 4*z)^3*(14 + 5*z)^6*(-20 - 4*z + z^2) partition[46]={9, 5, 5, 2, 2, 1} x[46]=-4375 - 18000*z - 7700*z^2 + 3920*z^3 + 2478*z^4 - 224*z^5 - 252*z^6 + 9*z^8 y[46]=-2603125 - 2625000*z + 603750*z^2 + 1771000*z^3 + 397425*z^4 - 367944*z^5 - 147448*z^6 + 31752*z^7 + 19089*z^8 - 1008*z^9 - 1134*z^10 + 27*z^12 k[46]=-64*(-7 + 2*z)*(7 + 5*z + z^2)^2*(-50 - 10*z + 7*z^2)^5 partition[47]={9, 5, 3, 3, 3, 1} x[47]=(-1 + z + z^2)*(-1 + 3*z - 5*z^3 + 27*z^5 + 9*z^6) y[47]=-1 + 6*z - 9*z^2 - 10*z^3 + 30*z^4 - 54*z^5 + 119*z^6 + 54*z^7 - 270*z^8 - 90*z^9 + 243*z^10 + 162*z^11 + 27*z^12 k[47]=-64*z^5*(3 + z)*(1 - 3*z + 5*z^3)^3 partition[48]={9, 4, 3, 3, 3, 2} x[48]=(-1 + 2*z + z^2)*(-1 + 6*z - 9*z^2 - 4*z^3 + 81*z^4 + 54*z^5 + 9*z^6) y[48]=-1 + 12*z - 54*z^2 + 100*z^3 - 195*z^4 + 792*z^5 - 844*z^6 - 1512*z^7 + 1593*z^8 + 2844*z^9 + 1458*z^10 + 324*z^11 + 27*z^12 k[48]=-64*z^4*(3 + z)^2*(1 - 6*z + 9*z^2 + 4*z^3)^3 partition[49]={8, 8, 4, 2, 1, 1} x[49]=1 + 28*z^2 - 10*z^4 - 4*z^6 + z^8 y[49]=(-1 - 2*z^2 + z^4)*(1 - 68*z^2 + 38*z^4 - 4*z^6 + z^8) k[49]=-108*(-1 + z)^8*z^2*(1 + z)^8*(-2 + z^2) partition[50]={8, 8, 3, 3, 1, 1} x[50]=(-1 + 12*z^3 + 9*z^4)*(-5 + 24*z - 36*z^2 + 12*z^3 + 9*z^4) y[50]=9*(-1 + 2*z + z^2)*(1 - 2*z + 3*z^2)* (1 - 24*z^2 + 48*z^3 + 24*z^4 - 72*z^5 - 60*z^6 + 72*z^7 + 27*z^8) k[50]=4*(-1 + 3*z)^8*(-1 + 3*z^2)^3*(-11 + 24*z + 9*z^2) partition[51]={8, 8, 2, 2, 2, 2} x[51]=4*(1 - z + z^2)*(1 + z + z^2)*(1 - z^2 + z^4) y[51]=4*(-1 + z)*(1 + z)*(1 + z^2)*(2 + z^4)*(1 + 2*z^4) k[51]=432*z^8*(1 + z^4)^2 partition[52]={8, 7, 3, 3, 2, 1} x[52]=37120 + 167680*z + 323680*z^2 + 432880*z^3 + 375025*z^4 + 123424*z^5 + 15568*z^6 + 832*z^7 + 16*z^8 y[52]=-6852608 - 40986624*z - 77215488*z^2 + 25975040*z^3 + 297375120*z^4 + 436623768*z^5 + 298827879*z^6 + 116029548*z^7 + 23621310*z^8 + 2606720*z^9 + 158304*z^10 + 4992*z^11 + 64*z^12 k[52]=108*(17 + z)^2*(2 + 3*z)*(4 + 5*z)^7*(16 + 112*z + 7*z^2)^3 partition[53]={8, 6, 5, 2, 2, 1} x[53]=4096 - 18432*z + 29568*z^2 - 20384*z^3 + 5145*z^4 + 4704*z^5 - 3248*z^6 + 192*z^7 + 144*z^8 y[53]=(-64 + 144*z - 69*z^2 + 4*z^3 + 6*z^4)* (-4096 + 18432*z - 29568*z^2 + 20384*z^3 - 5145*z^4 + 9408*z^5 - 6496*z^6 + 384*z^7 + 288*z^8) k[53]=108*z^5*(6 + z)*(-7 + 3*z)^2*(-8 + 7*z)^6*(-8 + 15*z)^2 partition[54]={8, 6, 4, 2, 2, 2} x[54]=4*(1 + 4*z^3 + 3*z^4 + 16*z^6 + 24*z^7 + 9*z^8) y[54]=4*(-1 + 4*z^3 + 3*z^4)*(2 + 4*z^3 + 3*z^4)*(1 + 8*z^3 + 6*z^4) k[54]=432*z^6*(1 + z)^4*(4 + 3*z)^2*(1 - 2*z + 3*z^2)^2 partition[55]={8, 5, 4, 3, 2, 2} x[55]=4*(9 + 96*z + 328*z^2 + 348*z^3 - 45*z^4 - 512*z^5 + 192*z^6 - 24*z^7 + z^8) y[55]=4*(6 + 32*z + 24*z^2 - 12*z^3 + z^4)* (-9 - 96*z - 328*z^2 - 348*z^3 + 45*z^4 - 1024*z^5 + 384*z^6 - 48*z^7 + 2*z^8) k[55]=432*(-8 + z)^3*z^5*(1 + 3*z)^4*(-9 - 42*z + 5*z^2)^2 partition[56]={8, 4, 4, 4, 3, 1} x[56]=-3 - 24*z + 60*z^2 - 24*z^3 + 18*z^4 - 24*z^5 + 4*z^6 + 8*z^7 + z^8 y[56]=(-3 + 12*z - 6*z^2 + 4*z^3 + z^4)*(-9 + 48*z^3 - 36*z^4 - 24*z^5 + 4*z^6 + 8*z^7 + z^8) k[56]=108*(-1 + z)^3*(1 + z)^4*(7 + z)*(1 - 2*z + 3*z^2)^4 partition[57]={8, 4, 4, 4, 2, 2} x[57]=4*(1 - 2*z^2 + 5*z^4 - 4*z^6 + z^8) y[57]=4*(-1 - 2*z^2 + z^4)*(2 - 2*z^2 + z^4)*(1 - 4*z^2 + 2*z^4) k[57]=432*(-1 + z)^4*z^4*(1 + z)^4*(-2 + z^2)^2 partition[58]={7, 7, 7, 1, 1, 1} x[58]=(1 - z + z^2)*(1 + 5*z - 10*z^2 - 15*z^3 + 30*z^4 - 11*z^5 + z^6) y[58]=1 + 6*z - 15*z^2 - 46*z^3 + 174*z^4 - 222*z^5 + 273*z^6 - 486*z^7 + 570*z^8 - 354*z^9 + 117*z^10 - 18*z^11 + z^12 k[58]=1728*(-1 + z)^7*z^7*(1 + 5*z - 8*z^2 + z^3) partition[59]={7, 6, 6, 2, 2, 1} x[59]=27297 + 8100*z - 1134*z^2 + 315*z^4 - 14*z^6 + 4*z^7 + z^8 y[59]=(81 + 18*z - 9*z^2 + 2*z^3 + z^4)*(-55647 - 12636*z - 1134*z^2 + 315*z^4 - 14*z^6 + 4*z^7 + z^8) k[59]=46656*(4 + z)*(13 - 5*z + z^2)^2*(-3 + 3*z + z^2)^6 partition[60]={7, 6, 5, 4, 1, 1} x[60]=-3524652257136 - 549509702400*z - 15708981456*z^2 + 967680672*z^3 + 44788800*z^4 - 481152*z^5 - 35000*z^6 + 48*z^7 + 9*z^8 y[60]=-9466055838107392320 - 810080694704936448*z + 48534269888310624*z^2 + 6743390135575104*z^3 + 79721017196040*z^4 - 12108300754176*z^5 - 333119872008*z^6 + 8699979024*z^7 + 349461288*z^8 - 2585440*z^9 - 157212*z^10 + 216*z^11 + 27*z^12 k[60]=-1728*(28 + z)^6*(-163 + 4*z)^5*(799 + 33*z)^4* (-3416 - 40*z + 3*z^2) partition[61]={7, 6, 4, 4, 2, 1} x[61]=336 + 336*z^3 + 84*z^4 - 168*z^5 - 56*z^6 + 24*z^7 + 9*z^8 y[61]=(6 - 12*z - 12*z^2 + 4*z^3 + 3*z^4)* (-864 - 576*z + 336*z^3 + 84*z^4 - 168*z^5 - 56*z^6 + 24*z^7 + 9*z^8) k[61]=108*(-2 + z)^2*(2 + z)^6*(25 + 12*z)*(-2 - 2*z + 3*z^2)^4 partition[62]={7, 5, 5, 3, 2, 2} x[62]=-497007 + 411600*z + 15484*z^2 - 8400*z^3 + 1806*z^4 - 224*z^5 + 84*z^6 + z^8 y[62]=-429738183 - 167512968*z + 171655722*z^2 - 46806760*z^3 + 2811123*z^4 - 1598472*z^5 + 118776*z^6 - 26712*z^7 + 5355*z^8 - 336*z^9 + 126*z^10 + z^12 k[62]=1728*(-7 + 2*z)^3*(63 + 3*z + z^2)^2*(42 + 2*z + 3*z^2)^5 partition[63]={7, 5, 4, 4, 3, 1} x[63]=10000 - 4160*z + 1120*z^2 - 22288*z^3 + 2660*z^4 - 280*z^5 + 280*z^6 + 40*z^7 + z^8 y[63]=-1000000 + 624000*z - 232896*z^2 - 5123360*z^3 + 1675080*z^4 - 364320*z^5 + 887040*z^6 - 36432*z^7 + 990*z^8 + 3980*z^9 + 1020*z^10 + 60*z^11 + z^12 k[63]=-108*z^3*(8 + 3*z)^5*(125 + 4*z)*(14 - 10*z + 5*z^2)^4 partition[64]={7, 5, 4, 3, 3, 2} x[64]=431568 - 1041984*z + 33264*z^2 - 39648*z^3 + 6720*z^4 + 13216*z^5 + 3192*z^6 + 288*z^7 + 9*z^8 y[64]=3*(-249842880 + 146966400*z - 191872800*z^2 + 107412480*z^3 + 43296120*z^4 + 996576*z^5 - 903672*z^6 + 554096*z^7 + 360120*z^8 + 78000*z^9 + 8244*z^10 + 432*z^11 + 9*z^12) k[64]=-64*(9 + z)^4*(9 + 4*z)^5*(106 + 9*z)^2*(12 - 12*z + 5*z^2)^3 partition[65]={6, 6, 6, 4, 1, 1} x[65]=(3 + 6*z + z^2)*(3 + 18*z + 39*z^2 + 36*z^3 + 21*z^4 + 18*z^5 + z^6) y[65]=(-3 - 12*z - 6*z^2 + 12*z^3 + z^4)*(9 + 72*z + 252*z^2 + 504*z^3 + 606*z^4 + 408*z^5 + 132*z^6 + 24*z^7 + z^8) k[65]=1728*z^4*(1 + z)^6*(1 + 2*z)^6*(9 + 18*z + z^2) partition[66]={6, 6, 6, 2, 2, 2} x[66]=(-3 + z^2)*(-3 + 75*z^2 + 15*z^4 + z^6) y[66]=(-3 + 6*z^2 + z^4)*(9 + 540*z^2 + 30*z^4 + 12*z^6 + z^8) k[66]=-1728*z^2*(1 + z^2)^6*(9 + z^2)^2 partition[67]={6, 6, 5, 4, 2, 1} x[67]=4*(9000 + 3300*z - 1430*z^2 - 24*z^3 + 300*z^4 - 20*z^5 - 30*z^6 + z^8) y[67]=4*(75 - 20*z - 30*z^2 + 2*z^4)*(-21375 - 12900*z + 190*z^2 + 1272*z^3 + 300*z^4 - 20*z^5 - 30*z^6 + z^8) k[67]=-11664*(3 + z)^4*(5 + 2*z)^2*(-15 + 4*z)*(-5 - 2*z + z^2)^6 partition[68]={6, 6, 5, 3, 3, 1} x[68]=(-5 + z^2)*(-1205 + 432*z + 75*z^2 - 15*z^4 + z^6) y[68]=-467675 + 251640*z + 160422*z^2 - 81000*z^3 - 31125*z^4 + 16200*z^5 + 200*z^6 - 1080*z^7 + 375*z^8 - 30*z^10 + z^12 k[68]=1728*(-5 + 2*z)*(1 - 3*z + z^2)^6*(10 + 6*z + z^2)^3 partition[69]={6, 6, 4, 4, 2, 2} x[69]=117 - 120*z + 28*z^2 - 48*z^3 + 42*z^4 + 8*z^5 - 12*z^6 + z^8 y[69]=(3 - 2*z + z^2)*(-5 + 2*z + z^2)*(21 - 8*z - 6*z^2 + z^4)* (3 + 4*z - 6*z^2 + z^4) k[69]=108*(-1 + z)^6*(3 + z)^2*(-3 + 2*z)^2*(-3 + z^2)^4 partition[70]={6, 6, 4, 3, 3, 2} x[70]=4*(1 + z^2)*(1 + 57*z^2 + 3*z^4 + z^6) y[70]=4*(-2 - 10*z^2 + z^4)*(-1 + 134*z^2 + 84*z^4 + 32*z^6 + 2*z^8) k[70]=432*z^2*(4 + z^2)^3*(-1 + 2*z^2)^6 partition[71]={6, 6, 3, 3, 3, 3} x[71]=(-1 + z)*(1 + z)*(-3 + z^2)*(3 + z^4) y[71]=(-3 + z^4)*(9 - 18*z^2 + 18*z^4 - 6*z^6 + z^8) k[71]=-64*z^6*(3 - 3*z^2 + z^4)^3 partition[72]={6, 5, 4, 4, 3, 2} x[72]=-48 - 256*z + 416*z^2 + 48*z^3 + 20*z^4 - 184*z^5 + 192*z^6 - 72*z^7 + 9*z^8 y[72]=(8 - 32*z + 8*z^2 - 12*z^3 + 3*z^4)* (-104 - 128*z + 48*z^2 + 424*z^3 - 410*z^4 - 84*z^5 + 192*z^6 - 72*z^7 + 9*z^8) k[72]=4*(-2 + z)^5*(-7 + 2*z)^2*(2 + 3*z)^3*(2 - 2*z + 5*z^2)^4 partition[73]={5, 5, 5, 5, 2, 2} x[73]=90625 - 130000*z + 59500*z^2 - 10800*z^3 + 670*z^4 + 160*z^5 - 60*z^6 + z^8 y[73]=(125 - 100*z + 60*z^2 - 12*z^3 + z^4)* (263125 - 236500*z + 44350*z^2 + 9660*z^3 - 1634*z^4 - 452*z^5 - 6*z^6 + 12*z^7 + z^8) k[73]=-1728*(5 + 2*z)^5*(10 - 6*z + z^2)^5*(-25 + 5*z + z^2)^2 partition[74]={5, 5, 4, 4, 3, 3} x[74]=3125 - 5000*z + 500*z^2 - 2800*z^3 + 130*z^4 - 40*z^5 + 60*z^6 + 9*z^8 y[74]=3*(-5 + 2*z + z^2)*(15625 - 6250*z + 34375*z^2 + 2500*z^3 + 12500*z^4 - 860*z^5 + 2184*z^6 - 492*z^7 + 171*z^8 - 18*z^9 + 9*z^10) k[74]=-4*(1 + z)^5*(25 + 5*z + 4*z^2)^3*(25 - 20*z + 9*z^2)^4 partition[75]={4, 4, 4, 4, 4, 4} x[75]=(1 - 4*z^2 + z^4)*(1 + 4*z^2 + z^4) y[75]=(-1 + z)*(1 + z)*(1 + z^2)*(1 - 4*z + 8*z^2 - 4*z^3 + z^4)* (1 + 4*z + 8*z^2 + 4*z^3 + z^4) k[75]=-108*z^4*(1 + z^4)^4