********************************************************
(15*x^4 - 20*x^3 + 18*x^2 - 12*x + 5, (8*x + 5)*(x + 1)^4)
[-1, -5/8]
0*******************************************************
(70*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0************************************************
(65*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******************0************************************
(65*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0***********************************************0
(60*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0***********************0************************
(60*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0**********************0*************************
(60*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0***********************0****************0*******
(55*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0*****************************************
(60*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0*************************************0***
(55*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0***********************************0*****
(55*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0*************0***************************
(55*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0*************0**************************0
(50*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0**********0******************************
(55*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0*************0******************0********
(50*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0*************0******************0*****0**
(45*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0**********0***********************0******
(50*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0**********0****************0*************
(50*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0**********0********0*********************
(50*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0**********0****************0************0
(45*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0***0*************************************
(55*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0**********0********0*******0*************
(45*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0**********0********0*******0****0********
(40*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0***0*******************************0*****
(50*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0**********0********0*******0****0**0*****
(35*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0***0******0******************************
(50*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0***0******0************************0*****
(45*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
00**0*****0*********0**************0********************
(30*x^5 - 30*x^4 + 14*x^3 - 9*x + 10, (8*x + 5)*(3*x + 2)*(x + 1)^4)
[-2/3, -1, -5/8]
0******0******0***0******0****************0*************
(45*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0***0******0*0****************************
(45*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
00**0****00*********0**************0********************
(135*x^6 - 40*x^5 - 50*x^4 + 56*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
0******0******0***0******0****************0*******0*****
(40*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0******0******0***0******0*0*****************0**********
(40*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
00**0****00*********0**************0*******************0
(120*x^6 - 50*x^5 - 50*x^4 + 56*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00**0****00*********0***********0**0********************
(120*x^6 - 50*x^5 - 50*x^4 + 56*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
0******0******0***0******0*0**0*************************
(40*x^5 - 40*x^4 + 10*x^3 + 12*x^2 - 23*x + 20, (8*x + 5)*(5*x + 4)*(x + 1)^4)
[-4/5, -1, -5/8]
0000****************************************************
(48*x^5 - 30*x^4 + 12*x^3 + 6*x^2 - 16*x + 15, (8*x + 5)*(4*x + 3)*(x + 1)^4)
[-3/4, -1, -5/8]
00**0****00*********0***********0**0************0*******
(105*x^6 - 60*x^5 - 50*x^4 + 56*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
0000******************************0*********************
(220*x^6 + 27*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
00**0****00*********0***********0**0************0*****0*
(90*x^6 - 70*x^5 - 50*x^4 + 56*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
0000******************************0**************0****00
(36*x^5 - 25*x^4 + 12*x^3 + 6*x^2 - 16*x + 15, (8*x + 5)*(4*x + 3)*(x + 1)^4)
[-3/4, -1, -5/8]
0000************0***************************************
(220*x^6 + 27*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0*************************************0*
(200*x^6 + 12*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********************************0****
(200*x^6 + 12*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0*********************************0*****
(200*x^6 + 12*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0****************************
(200*x^6 + 12*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0***************************0
(180*x^6 - 3*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0*******************0********
(180*x^6 - 3*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0******************0*********
(180*x^6 - 3*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0*******************0*****0**
(160*x^6 - 18*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0***************0************
(180*x^6 - 3*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0******************0*****0***
(160*x^6 - 18*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0******************0***0*****
(160*x^6 - 18*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0***************0***********0
(160*x^6 - 18*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0****0***********************
(180*x^6 - 3*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0****0***********0***********
(160*x^6 - 18*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0****0**********0************
(160*x^6 - 18*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0*********0***0***0*********************
(36*x^5 - 25*x^4 + 12*x^3 + 6*x^2 - 16*x + 15, (8*x + 5)*(4*x + 3)*(x + 1)^4)
[-3/4, -1, -5/8]
0000************0**********0****0**********0****0*******
(140*x^6 - 33*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0*********0***0***0*******0*************
(160*x^6 + 4*x^5 - 40*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0****0**********0**0*********
(140*x^6 - 33*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0****0**********0**0******0**
(120*x^6 - 48*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0**********0****0**********0**0***0*****
(120*x^6 - 48*x^5 - 60*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0000**************0**************0******
(84*x^6 - 39*x^5 - 24*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
0000************0*********0***0***0*******0****0********
(140*x^6 - 11*x^5 - 40*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
0000************0000**************0**************00*****
(360*x^7 + 56*x^6 - 306*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*********0**************0********************
(108*x^6 - 24*x^5 - 24*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
0000************0*********0***0***0*******0****0*****0**
(120*x^6 - 26*x^5 - 40*x^4 + 78*x^3 - 56*x^2 + 11*x + 60, (8*x + 5)*(5*x + 4)*(4*x + 3)*(x + 1)^4)
[-4/5, -3/4, -1, -5/8]
00000*****0*********0*************00********************
(480*x^7 + 227*x^6 - 246*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*******0*0**************0********************
(480*x^7 + 227*x^6 - 246*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*********0*************00*************0****00
(72*x^6 - 33*x^5 - 14*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000*****0*******0*0**************0******************0*
(420*x^7 + 142*x^6 - 276*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*******0*0**************0*****************0**
(420*x^7 + 142*x^6 - 276*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*******0*0**************0****************0***
(420*x^7 + 142*x^6 - 276*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*******0*0********0*****0********************
(420*x^7 + 142*x^6 - 276*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*******0*0********0*****0*******************0
(360*x^7 + 57*x^6 - 306*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*******0*0********0*****0************0*******
(360*x^7 + 57*x^6 - 306*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*******0*0*******0***0*00********************
(72*x^6 - 33*x^5 - 14*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000*****0*****00**0**************0********************
(96*x^6 - 18*x^5 - 14*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000*****0*******0*0********0*****0************0***0***
(300*x^7 - 28*x^6 - 336*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*******0*0*******0***0*00********0***********
(300*x^7 + 38*x^6 - 232*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0**************0****************0***
(420*x^7 + 209*x^6 - 172*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0**************0**************00****
(84*x^6 - 12*x^5 - 4*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000*****0*****00**0*******0******0********************
(420*x^7 + 209*x^6 - 172*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0******0*****************0**
(360*x^7 + 124*x^6 - 202*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0******0**************00****
(360*x^7 + 191*x^6 - 98*x^5 + 194*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0******0************0*******
(360*x^7 + 124*x^6 - 202*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0******0********0***********
(360*x^7 + 124*x^6 - 202*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0******0*******0********0*0*
(60*x^6 - 27*x^5 - 4*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000*****0*****00**0*******0******0************0*00****
(300*x^7 + 106*x^6 - 128*x^5 + 194*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0******0********0**********0
(300*x^7 + 39*x^6 - 232*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0****0*0********************
(360*x^7 + 124*x^6 - 202*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0****0*0**************00****
(300*x^7 + 106*x^6 - 128*x^5 + 194*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0****0*0********0***********
(300*x^7 + 39*x^6 - 232*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000****00****0****0****0*********0****0***************
(72*x^6 - 54*x^5 - 24*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000****00****0****0****0********00****0***************
(300*x^7 - 67*x^6 - 366*x^5 + 114*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0****0*0*******0********0*0*
(240*x^7 + 20*x^6 - 158*x^5 + 194*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0****0*0********0*****00****
(240*x^7 + 21*x^6 - 158*x^5 + 194*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0****0*0********0**0********
(240*x^7 - 46*x^6 - 262*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000*****0*****00**0*******0****0*0********0**0**00****
(180*x^7 - 64*x^6 - 188*x^5 + 194*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000****00****0****0****0********00****0********0****00
(36*x^6 - 63*x^5 - 14*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000****00****000**0****0*********0****0***************
(60*x^6 - 48*x^5 - 14*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000****00****000**0****0*********0****0*************0*
(240*x^7 - 85*x^6 - 292*x^5 + 154*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000****00****000**0****0*********0****0***********00**
(48*x^6 - 42*x^5 - 4*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000****00****000**0****0*********0****0*********00****
(48*x^6 - 42*x^5 - 4*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000****00****000**0****0**00*****0****0***************
(48*x^6 - 42*x^5 - 4*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000****00****000**0****0**00*****0****0**************0
(180*x^7 - 103*x^6 - 218*x^5 + 194*x^4 - 12*x^3 - 79*x^2 + 202*x + 120, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
0000000***000*******000************000******************
(30*x^5 - 30*x^4 + 30*x^3 - 6*x^2 - 11*x + 15, (8*x + 5)*(5*x + 3)*(x + 1)^4)
[-3/5, -1, -5/8]
0000000***000******0000************000******************
(125*x^6 - 45*x^5 + 30*x^4 + 90*x^3 - 79*x^2 + 31*x + 60, (8*x + 5)*(5*x + 4)*(5*x + 3)*(x + 1)^4)
[-4/5, -3/5, -1, -5/8]
00000****00****000**0****0**00*****0****0******00*******
(36*x^6 - 36*x^5 + 6*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000****00****000000****0********00****0********0******
(36*x^6 - 57*x^5 - 4*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000****00****000**0****0**00*****0****0******00*00****
(24*x^6 - 30*x^5 + 16*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
0000000000**********************************************
(27*x^5 - 18*x^4 + 9*x^3 - 9*x + 10, (8*x + 5)*(3*x + 2)*(x + 1)^4)
[-2/3, -1, -5/8]
0000000***000******0000************000***************0**
(100*x^6 - 60*x^5 + 30*x^4 + 90*x^3 - 79*x^2 + 31*x + 60, (8*x + 5)*(5*x + 4)*(5*x + 3)*(x + 1)^4)
[-4/5, -3/5, -1, -5/8]
0000000***000******0000******0***00000******************
(60*x^6 - 41*x^5 + 45*x^4 + 66*x^3 - 62*x^2 + 27*x + 45, (8*x + 5)*(5*x + 3)*(4*x + 3)*(x + 1)^4)
[-3/5, -3/4, -1, -5/8]
0000000000*********************************************0
(120*x^6 + 8*x^5 - 27*x^4 + 36*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
0000000000********************0*************************
(120*x^6 + 8*x^5 - 27*x^4 + 36*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00000****00****000000****0********00****0********000****
(24*x^6 - 51*x^5 + 6*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
0000000000********************0**************0****0****0
(72*x^6 - 8*x^4 + 27*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
0000000000********************00000********************0
(12*x^5 - 18*x^4 + 9*x^3 - 9*x + 10, (8*x + 5)*(3*x + 2)*(x + 1)^4)
[-2/3, -1, -5/8]
0000000000********************0***************0*********
(105*x^6 - 2*x^5 - 27*x^4 + 36*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
0000000000********************0***************0*****0***
(90*x^6 - 12*x^5 - 27*x^4 + 36*x^3 - 45*x^2 + 14*x + 40, (8*x + 5)*(5*x + 4)*(3*x + 2)*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00000000000*********0**************0********************
(126*x^6 - 30*x^5 - 18*x^4 + 36*x^3 - 54*x^2 + 24*x + 40, 2*(8*x + 5)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -1, -5/8]
0000000000********************00000**********0****0****0
(36*x^6 - 30*x^5 - 8*x^4 + 27*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000*********0**************0*******************0
(540*x^7 + 234*x^6 - 250*x^5 + 108*x^4 - 126*x^3 - 96*x^2 + 296*x + 160, 2*(8*x + 5)*(5*x + 4)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00000000000*********0***********0**0********************
(540*x^7 + 234*x^6 - 250*x^5 + 108*x^4 - 126*x^3 - 96*x^2 + 296*x + 160, 2*(8*x + 5)*(5*x + 4)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00000****00****000000****0********00****0********0000000
(12*x^6 - 39*x^5 + 26*x^4 + 42*x^3 - 36*x^2 + 13*x + 30, (8*x + 5)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000*********0***********0**0************0*******
(450*x^7 + 114*x^6 - 290*x^5 + 108*x^4 - 126*x^3 - 96*x^2 + 296*x + 160, 2*(8*x + 5)*(5*x + 4)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00000000000*********0***********0**0***********0****0**0
(288*x^7 + 60*x^6 - 138*x^5 + 130*x^4 - 108*x^3 - 66*x^2 + 232*x + 120, 2*(8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000*********0*********00***0********************
(432*x^7 + 246*x^6 - 78*x^5 + 130*x^4 - 108*x^3 - 66*x^2 + 232*x + 120, 2*(8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000*********0***********0**0************0*****0*
(360*x^7 - 6*x^6 - 330*x^5 + 108*x^4 - 126*x^3 - 96*x^2 + 296*x + 160, 2*(8*x + 5)*(5*x + 4)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00000000000*********0*********00***0*********00***00***0
(36*x^6 + 8*x^3 - 27*x^2 + 12*x + 20, (8*x + 5)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -1, -5/8]
00000000000*********0*********00***0***********0********
(1800*x^8 + 2208*x^7 + 74*x^6 + 218*x^5 - 20*x^4 - 762*x^3 + 896*x^2 + 1528*x + 480, 2*(8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000000000*********0*********00***0***********0*****0**
(1440*x^8 + 1458*x^7 - 446*x^6 + 98*x^5 - 20*x^4 - 762*x^3 + 896*x^2 + 1528*x + 480, 2*(8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
00000000000*********0*********000000*******************0
(216*x^7 - 78*x^6 - 198*x^5 + 130*x^4 - 108*x^3 - 66*x^2 + 232*x + 120, 2*(8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000****0****0****0*********0****0***************
(45*x^6 - 30*x^5 - 9*x^4 + 18*x^3 - 27*x^2 + 12*x + 20, (8*x + 5)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -1, -5/8]
00000000000****0****0****0*********0****0**************0
(180*x^7 - 30*x^6 - 185*x^5 + 54*x^4 - 63*x^3 - 48*x^2 + 148*x + 80, (8*x + 5)*(5*x + 4)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00000000000****0****0****0********00****0***************
(180*x^7 - 30*x^6 - 185*x^5 + 54*x^4 - 63*x^3 - 48*x^2 + 148*x + 80, (8*x + 5)*(5*x + 4)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -1, -5/8]
00000000000*********0*********000000***********0****0**0
(144*x^7 - 90*x^6 - 114*x^5 + 170*x^4 - 108*x^3 - 66*x^2 + 232*x + 120, 2*(8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000****0****0****0********00****0********0****00
(72*x^7 - 84*x^6 - 114*x^5 + 65*x^4 - 54*x^3 - 33*x^2 + 116*x + 60, (8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000****0****0****0****00***0****0***************
(144*x^7 + 9*x^6 - 84*x^5 + 65*x^4 - 54*x^3 - 33*x^2 + 116*x + 60, (8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000****0****0****0****00***0****0****00***00***0
(36*x^6 - 30*x^5 + 16*x^3 - 54*x^2 + 24*x + 40, 2*(8*x + 5)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -1, -5/8]
00000000000****0****0****0****00***0****0********0******
(540*x^8 + 246*x^7 - 644*x^6 - 71*x^5 - 10*x^4 - 381*x^3 + 448*x^2 + 764*x + 240, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
0000000000000*******000************000******************
(75*x^6 - 21*x^5 + 21*x^4 + 27*x^3 - 45*x^2 + 23*x + 30, (8*x + 5)*(5*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/5, -1, -5/8]
00000000000****0****0****0****00***0****0******00*******
(108*x^7 + 3*x^6 - 42*x^5 + 85*x^4 - 54*x^3 - 33*x^2 + 116*x + 60, (8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000****0****0****0****000000****0****00***00***0
(36*x^7 - 33*x^6 - 18*x^5 + 52*x^4 - 84*x^3 - 33*x^2 + 116*x + 60, (8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
00000000000****0****0****0****00***0****0******00*****0*
(360*x^8 + 72*x^7 - 458*x^6 + 197*x^5 + 70*x^4 - 381*x^3 + 448*x^2 + 764*x + 240, (8*x + 5)*(5*x + 4)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -4/5, -3/4, -1, -5/8]
0000000000000*******000************000*****************0
(300*x^7 + 100*x^6 - 9*x^5 + 219*x^4 - 117*x^3 - 65*x^2 + 242*x + 120, (8*x + 5)*(5*x + 4)*(5*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/5, -1, -5/8, -4/5]
0000000000000*******000**********0*000******************
(300*x^7 + 100*x^6 - 9*x^5 + 219*x^4 - 117*x^3 - 65*x^2 + 242*x + 120, (8*x + 5)*(5*x + 4)*(5*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/5, -1, -5/8, -4/5]
00000000000****0****0****0****000000****0**************0
(72*x^7 - 66*x^6 - 72*x^5 + 85*x^4 - 54*x^3 - 33*x^2 + 116*x + 60, (8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
0000000000000*******000**********0*000***********0******
(225*x^7 + 5*x^6 - 39*x^5 + 219*x^4 - 117*x^3 - 65*x^2 + 242*x + 120, (8*x + 5)*(5*x + 4)*(5*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/5, -1, -5/8, -4/5]
0000000000000*******000*******000**000******************
(60*x^6 - 12*x^5 + 12*x^4 + 12*x^3 - 45*x^2 + 23*x + 30, (8*x + 5)*(5*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/5, -1, -5/8]
0000000000000*******000**********0*000**********0****0*0
(120*x^7 - 12*x^6 + 44*x^5 + 201*x^4 - 99*x^3 - 43*x^2 + 189*x + 90, (8*x + 5)*(5*x + 3)*(4*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/5, -3/4, -1, -5/8]
00000000000****0****0****0****000000****0********0****00
(36*x^7 - 72*x^6 - 30*x^5 + 105*x^4 - 54*x^3 - 33*x^2 + 116*x + 60, (8*x + 5)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/4, -1, -5/8]
0000000000000*******000*******000**000**********0*******
(225*x^7 + 85*x^6 - 18*x^5 + 108*x^4 - 177*x^3 - 65*x^2 + 242*x + 120, (8*x + 5)*(5*x + 4)*(5*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/5, -1, -5/8, -4/5]
0000000000000*******000*******000**000**********0*****0*
(150*x^7 - 10*x^6 - 48*x^5 + 108*x^4 - 177*x^3 - 65*x^2 + 242*x + 120, (8*x + 5)*(5*x + 4)*(5*x + 3)*(3*x + 2)*(x + 1)^4)
[-2/3, -3/5, -1, -5/8, -4/5]
0000000000000000****000000*********000000***************
(6*x^5 - 6*x^4 + 6*x^3 - 6*x^2 - 2*x + 5, (8*x + 5)*(2*x + 1)*(x + 1)^4)
[-1/2, -1, -5/8]
0000000000000******0000******0*****000******0***********
(270*x^7 - 84*x^6 - 48*x^5 + 246*x^4 - 162*x^3 - 42*x^2 + 272*x + 120, 2*(8*x + 5)*(5*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/5, -1, -5/8]
0000000000000******0000******0*****000******0**********0
(900*x^8 - 210*x^7 - 1136*x^6 + 918*x^5 + 174*x^4 - 858*x^3 + 1192*x^2 + 1688*x + 480, 2*(8*x + 5)*(5*x + 4)*(5*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/5, -1, -5/8, -4/5]
0000000000000000****000000********0000000***************
(20*x^6 - 11*x^5 + 6*x^4 - 6*x^3 - 34*x^2 + 17*x + 20, (8*x + 5)*(5*x + 4)*(2*x + 1)*(x + 1)^4)
[-4/5, -1/2, -1, -5/8]
0000000000000******0000******0000**000******0***********
(180*x^7 - 90*x^6 - 66*x^5 + 120*x^4 - 222*x^3 - 42*x^2 + 272*x + 120, 2*(8*x + 5)*(5*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/5, -1, -5/8]
0000000000000******0000******0***00000******0***********
(720*x^8 + 198*x^7 - 60*x^6 + 1292*x^5 + 210*x^4 - 654*x^3 + 962*x^2 + 1296*x + 360, 2*(8*x + 5)*(5*x + 3)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/5, -3/4, -1, -5/8]
0000000000000******0000******0000**000******0***00******
(360*x^8 - 96*x^7 - 150*x^6 + 734*x^5 - 408*x^4 - 834*x^3 + 962*x^2 + 1296*x + 360, 2*(8*x + 5)*(5*x + 3)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/5, -3/4, -1, -5/8]
0000000000000******0000******000000000******0**********0
(180*x^8 - 153*x^7 - 213*x^6 + 322*x^5 - 204*x^4 - 417*x^3 + 481*x^2 + 648*x + 180, (8*x + 5)*(5*x + 3)*(4*x + 3)*(3*x + 2)^2*(x + 1)^4)
[-2/3, -3/5, -3/4, -1, -5/8]