// PiFast, copyright 1999-2001 Xavier Gourdon *************************************** * * * User constant file definition * * * *************************************** Version : 4.2 Constant name : zeta5_broadhurst Comments :Calcul de zeta(5) par la formule de Broadhurst . Number of series : 22 Series number 0 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 9216/2021 Beta : 9216/2021 Polynomial F : 1 Polynomial G : (8*n+1)^5 Z : 1/16 Series number 1 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -464832/62651 Beta : -14874624/62651 Polynomial F : 1 Polynomial G : (8*n+2)^5 Z : 1/16 Series number 2 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -512/54567 Beta : -4608/2021 Polynomial F : 1 Polynomial G : (8*n+3)^5 Z : 1/16 Series number 3 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -27954/62651 Beta : -28624896/62651 Polynomial F : 1 Polynomial G : (8*n+4)^5 Z : 1/16 Series number 4 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -2304/6315625 Beta : -2304/2021 Polynomial F : 1 Polynomial G : (8*n+5)^5 Z : 1/16 Series number 5 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -4304/563859 Beta : -3718656/62651 Polynomial F : 1 Polynomial G : (8*n+6)^5 Z : 1/16 Series number 6 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 1152/33966947 Beta : 1152/2021 Polynomial F : 1 Polynomial G : (8*n+7)^5 Z : 1/16 Series number 7 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 83871/2004832 Beta : 85883904/62651 Polynomial F : 1 Polynomial G : (8*n+8)^5 Z : 1/16 Series number 8 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 310016/62651 Beta : 310016/62651 Polynomial F : 1 Polynomial G : (8*n+1)^5 Z : 1/4096 Series number 9 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 7952/62651 Beta : 254464/62651 Polynomial F : 1 Polynomial G : (8*n+2)^5 Z : 1/4096 Series number 10 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -38752/15224193 Beta : -38752/62651 Polynomial F : 1 Polynomial G : (8*n+3)^5 Z : 1/4096 Series number 11 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -3199/4009664 Beta : -51184/62651 Polynomial F : 1 Polynomial G : (8*n+4)^5 Z : 1/4096 Series number 12 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -4844/195784375 Beta : -4844/62651 Polynomial F : 1 Polynomial G : (8*n+5)^5 Z : 1/4096 Series number 13 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 497/60896772 Beta : 3976/62651 Polynomial F : 1 Polynomial G : (8*n+6)^5 Z : 1/4096 Series number 14 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 173/300850102 Beta : 1211/125302 Polynomial F : 1 Polynomial G : (8*n+7)^5 Z : 1/4096 Series number 15 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -777/8211791872 Beta : -777/250604 Polynomial F : 1 Polynomial G : (8*n+8)^5 Z : 1/4096 Series number 16 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -47232/62651 Beta : -47232/62651 Polynomial F : 1 Polynomial G : (8*n+1)^5 Z : 1/1048576 Series number 17 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 164/1691577 Beta : 1476/62651 Polynomial F : 1 Polynomial G : (8*n+3)^5 Z : 1/1048576 Series number 18 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 369/64154624 Beta : 369/62651 Polynomial F : 1 Polynomial G : (8*n+4)^5 Z : 1/1048576 Series number 19 Beta : 1 Series type : 0 Definition mode : 0 Alpha : 369/1566275000 Beta : 369/501208 Polynomial F : 1 Polynomial G : (8*n+5)^5 Z : 1/1048576 Series number 20 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -369/269561691392 Beta : -369/16038656 Polynomial F : 1 Polynomial G : (8*n+7)^5 Z : 1/1048576 Series number 21 Beta : 1 Series type : 0 Definition mode : 0 Alpha : -369/2102218719232 Beta : -369/64154624 Polynomial F : 1 Polynomial G : (8*n+8)^5 Z : 1/1048576 Constant approximate value : zeta5_broadhurst = 1.036927755143