UNCG, Department of Mathematics and Statistics, Sebastian Pauli

Number of totally ramified extensions of Q5 of degree 25

Introduction
Extensions of Q2 of degree 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 32
Extensions of Q2[x]/(x2+x+1) of degree 2, 4, 8 Extensions of Q2[x]/(x4+x+1) of degree 2, 4, 8
Extensions of Q3 of degree 3, 6, 9, 12, 15, 18, 21, 24, 27     Extensions of Q3[x]/(x2+2x+2) of degree 3, 6, 9
Extensions of Q5 of degree 5, 10, 15, 20, 25, 30, 35, 50, Extensions of Q7 of degree 7, 14, 21, 49
Extensions of Q11 of degree 11, 22, 33, Extensions of Q13 of degree 13, 26, 39,
Extensions of Q17 of degree 17, 34 Extensions of Q19 of degree 19,

Polynomial Invariants #Aut Splitting Field Number of
j Ramification Polygon Slopes Residual Polynomials fT eT #Gal Gal Polynomials Extensions
1{(1,1), (25,0)}[ 1/24 ](z+1){1}224{ 1200 }{ 25T56 }1524·524·52
(z+2){1}224{ 1200 }{ 25T56 }152
(z+3){1}224{ 1200 }{ 25T56 }152
(z+4){1}224{ 1200 }{ 25T56 }152
2{(1,2), (25,0)}[ 1/12 ](z2+1){1}212{ 600 }{ 25T43 }1524·524·52
(z2+2){1}212{ 600 }{ 25T45 }152
(z2+3){1}212{ 600 }{ 25T45 }152
(z2+4){1}212{ 600 }{ 25T43 }152
3{(1,3), (25,0)}[ 1/8 ](z3+1){1}28{ 400 }{ 25T31 }1524·524·52
(z3+2){1}28{ 400 }{ 25T31 }152
(z3+3){1}28{ 400 }{ 25T31 }152
(z3+4){1}28{ 400 }{ 25T31 }152
4{(1,4), (25,0)}[ 1/6 ](z4+1){1}26{ 300 }{ 25T28 }1524·524·52
(z4+2){1}46{ 600 }{ 25T45 }152
(z4+3){1}46{ 600 }{ 25T45 }152
(z4+4){1}26{ 300 }{ 25T27 }152
6{(1,6), (5,5), (25,0)}[ 1/4 ](z6+z+1){1}34{ 300 }{ 25T26 }15216·524·53
(z6+2z+1){1}54{ 500 }{ 25T34 }152
(z6+3z+1){1}54{ 500 }{ 25T34 }152
(z6+4z+1){1}34{ 300 }{ 25T26 }152
(z6+z+2){1}64{ 600 }{ 25T47 }152
(z6+2z+2){1}44{ 400 }{ 25T32 }152
(z6+3z+2){1}44{ 400 }{ 25T32 }152
(z6+4z+2){1}64{ 600 }{ 25T47 }152
(z6+z+3){1}44{ 400 }{ 25T32 }152
(z6+2z+3){1}64{ 600 }{ 25T47 }152
(z6+3z+3){1}64{ 600 }{ 25T47 }152
(z6+4z+3){1}44{ 400 }{ 25T32 }152
(z6+z+4){1}54{ 500 }{ 25T34 }152
(z6+2z+4){1}34{ 300 }{ 25T26 }152
(z6+3z+4){1}34{ 300 }{ 25T26 }152
(z6+4z+4){1}54{ 500 }{ 25T34 }152
{(1,6), (25,0)}[ 1/4 ](z6+1){1}24{ 200 }{ 25T19 }1524·52
(z6+2){1}24{ 200 }{ 25T20 }152
(z6+3){1}24{ 200 }{ 25T20 }152
(z6+4){1}24{ 200 }{ 25T19 }152
7{(1,7), (5,5), (25,0)}[ 1/2, 1/4 ](z2+1, z5+1){1}2415216·524·53
(2z2+1, z5+2){1}44152
(3z2+1, z5+3){1}44152
(4z2+1, z5+4){1}14152
(z2+2, z5+1){1}44152
(2z2+2, z5+2){1}14152
(3z2+2, z5+3){1}24152
(4z2+2, z5+4){1}44152
(z2+3, z5+1){1}44152
(2z2+3, z5+2){1}24152
(3z2+3, z5+3){1}14152
(4z2+3, z5+4){1}44152
(z2+4, z5+1){1}14152
(2z2+4, z5+2){1}44152
(3z2+4, z5+3){1}44152
(4z2+4, z5+4){1}24152
{(1,7), (25,0)}[ 7/24 ](z+1){1}224{ 1200 }{ 25T56 }1524·52
(z+2){1}224{ 1200 }{ 25T56 }152
(z+3){1}224{ 1200 }{ 25T56 }152
(z+4){1}224{ 1200 }{ 25T56 }152
8{(1,8), (5,5), (25,0)}[ 3/4, 1/4 ](z+1, z5+1){1}1415216·524·53
(2z+1, z5+2){1}14152
(3z+1, z5+3){1}14152
(4z+1, z5+4){1}14152
(z+2, z5+1){1}44152
(2z+2, z5+2){1}44152
(3z+2, z5+3){1}44152
(4z+2, z5+4){1}44152
(z+3, z5+1){1}44152
(2z+3, z5+2){1}44152
(3z+3, z5+3){1}44152
(4z+3, z5+4){1}44152
(z+4, z5+1){1}24152
(2z+4, z5+2){1}24152
(3z+4, z5+3){1}24152
(4z+4, z5+4){1}24152
{(1,8), (25,0)}[ 1/3 ](z8+1){1}43{ 300 }{ 25T28 }1524·52
(z8+2){1}83{ 600 }{ 25T45 }152
(z8+3){1}83{ 600 }{ 25T45 }152
(z8+4){1}23{ 150 }{ 25T16 }152
9{(1,9), (5,5), (25,0)}[ 1, 1/4 ](z4+1, z5+1){1}2415216·524·53
(2z4+1, z5+2){1}44152
(3z4+1, z5+3){1}44152
(4z4+1, z5+4){5}14552
(z4+2, z5+1){1}44152
(2z4+2, z5+2){1}24152
(3z4+2, z5+3){5}14552
(4z4+2, z5+4){1}44152
(z4+3, z5+1){1}44152
(2z4+3, z5+2){5}14552
(3z4+3, z5+3){1}24152
(4z4+3, z5+4){1}44152
(z4+4, z5+1){5}14552
(2z4+4, z5+2){1}44152
(3z4+4, z5+3){1}44152
(4z4+4, z5+4){1}24152
{(1,9), (25,0)}[ 3/8 ](z3+1){1}28{ 400 }{ 25T31 }1524·52
(z3+2){1}28{ 400 }{ 25T31 }152
(z3+3){1}28{ 400 }{ 25T31 }152
(z3+4){1}28{ 400 }{ 25T31 }152
11{(1,11), (5,5), (25,0)}[ 3/2, 1/4 ](z2+1, z5+1){1}2455316·534·54
(2z2+1, z5+2){1}44553
(3z2+1, z5+3){1}44553
(4z2+1, z5+4){1}14553
(z2+2, z5+1){1}44553
(2z2+2, z5+2){1}14553
(3z2+2, z5+3){1}24553
(4z2+2, z5+4){1}44553
(z2+3, z5+1){1}44553
(2z2+3, z5+2){1}24553
(3z2+3, z5+3){1}14553
(4z2+3, z5+4){1}44553
(z2+4, z5+1){1}14553
(2z2+4, z5+2){1}44553
(3z2+4, z5+3){1}44553
(4z2+4, z5+4){1}24553
{(1,11), (25,0)}[ 11/24 ](z+1){1}224{ 1200 }{ 25T56 }5534·53
(z+2){1}224{ 1200 }{ 25T56 }553
(z+3){1}224{ 1200 }{ 25T56 }553
(z+4){1}224{ 1200 }{ 25T56 }553
12{(1,12), (5,5), (25,0)}[ 7/4, 1/4 ](z+1, z5+1){1}1455316·534·54
(2z+1, z5+2){1}14553
(3z+1, z5+3){1}14553
(4z+1, z5+4){1}14553
(z+2, z5+1){1}44553
(2z+2, z5+2){1}44553
(3z+2, z5+3){1}44553
(4z+2, z5+4){1}44553
(z+3, z5+1){1}44553
(2z+3, z5+2){1}44553
(3z+3, z5+3){1}44553
(4z+3, z5+4){1}44553
(z+4, z5+1){1}24553
(2z+4, z5+2){1}24553
(3z+4, z5+3){1}24553
(4z+4, z5+4){1}24553
{(1,12), (5,10), (25,0)}[ 1/2 ](z12+z2+1){1}32{ 150 }{ 25T15 }15216·52
(z12+2z2+1){1}52{ 250 }{ 25T23 }152
(z12+3z2+1){1}52{ 250 }{ 25T23 }152
(z12+4z2+1){1}32{ 150 }{ 25T15 }152
(z12+z2+2){1}122{ 600 }{ 25T47 }152
(z12+2z2+2){1}42{ 200 }{ 25T18 }152
(z12+3z2+2){1}42{ 200 }{ 25T18 }152
(z12+4z2+2){1}122{ 600 }{ 25T47 }152
(z12+z2+3){1}42{ 200 }{ 25T18 }152
(z12+2z2+3){1}122{ 600 }{ 25T47 }152
(z12+3z2+3){1}122{ 600 }{ 25T47 }152
(z12+4z2+3){1}42{ 200 }{ 25T18 }152
(z12+z2+4){1}102{ 500 }{ 25T34 }152
(z12+2z2+4){1}62{ 300 }{ 25T26 }152
(z12+3z2+4){1}62{ 300 }{ 25T26 }152
(z12+4z2+4){1}102{ 500 }{ 25T34 }152
{(1,12), (25,0)}[ 1/2 ](z12+1){1}22{ 100 }{ 25T10 }1524·52
(z12+2){1}42{ 200 }{ 25T20 }152
(z12+3){1}42{ 200 }{ 25T20 }152
(z12+4){1}22{ 100 }{ 25T12 }152
13{(1,13), (5,5), (25,0)}[ 2, 1/4 ](z4+1, z5+1){1}2455316·534·54
(2z4+1, z5+2){1}44553
(3z4+1, z5+3){1}44553
(4z4+1, z5+4){5}145253
(z4+2, z5+1){1}44553
(2z4+2, z5+2){1}24553
(3z4+2, z5+3){5}145253
(4z4+2, z5+4){1}44553
(z4+3, z5+1){1}44553
(2z4+3, z5+2){5}145253
(3z4+3, z5+3){1}24553
(4z4+3, z5+4){1}44553
(z4+4, z5+1){5}145253
(2z4+4, z5+2){1}44553
(3z4+4, z5+3){1}44553
(4z4+4, z5+4){1}24553
{(1,13), (5,10), (25,0)}[ 3/4, 1/2 ](z+1, z10+1){1}2415216·52
(2z+1, z10+2){1}44152
(3z+1, z10+3){1}44152
(4z+1, z10+4){1}14152
(z+2, z10+1){1}14152
(2z+2, z10+2){1}44152
(3z+2, z10+3){1}44152
(4z+2, z10+4){1}24152
(z+3, z10+1){1}14152
(2z+3, z10+2){1}44152
(3z+3, z10+3){1}44152
(4z+3, z10+4){1}24152
(z+4, z10+1){1}24152
(2z+4, z10+2){1}44152
(3z+4, z10+3){1}44152
(4z+4, z10+4){1}14152
{(1,13), (25,0)}[ 13/24 ](z+1){1}224{ 1200 }{ 25T56 }1524·52
(z+2){1}224{ 1200 }{ 25T56 }152
(z+3){1}224{ 1200 }{ 25T56 }152
(z+4){1}224{ 1200 }{ 25T56 }152
14{(1,14), (5,5), (25,0)}[ 9/4, 1/4 ](z+1, z5+1){1}1455316·534·54
(2z+1, z5+2){1}24553
(3z+1, z5+3){1}24553
(4z+1, z5+4){1}14553
(z+2, z5+1){1}44553
(2z+2, z5+2){1}44553
(3z+2, z5+3){1}44553
(4z+2, z5+4){1}44553
(z+3, z5+1){1}44553
(2z+3, z5+2){1}44553
(3z+3, z5+3){1}44553
(4z+3, z5+4){1}44553
(z+4, z5+1){1}24553
(2z+4, z5+2){1}14553
(3z+4, z5+3){1}14553
(4z+4, z5+4){1}24553
{(1,14), (5,10), (25,0)}[ 1, 1/2 ](z4+1, z10+1){1}2215216·52
(2z4+1, z10+2){1}42152
(3z4+1, z10+3){1}42152
(4z4+1, z10+4){5}12552
(z4+2, z10+1){1}42152
(2z4+2, z10+2){1}22152
(3z4+2, z10+3){5}22552
(4z4+2, z10+4){1}42152
(z4+3, z10+1){1}42152
(2z4+3, z10+2){5}22552
(3z4+3, z10+3){1}22152
(4z4+3, z10+4){1}42152
(z4+4, z10+1){5}12552
(2z4+4, z10+2){1}42152
(3z4+4, z10+3){1}42152
(4z4+4, z10+4){1}22152
{(1,14), (25,0)}[ 7/12 ](z2+1){1}212{ 600 }{ 25T43 }1524·52
(z2+2){1}212{ 600 }{ 25T45 }152
(z2+3){1}212{ 600 }{ 25T45 }152
(z2+4){1}212{ 600 }{ 25T43 }152
16{(1,16), (5,5), (25,0)}[ 11/4, 1/4 ](z+1, z5+1){1}14525416·544·55
(2z+1, z5+2){1}145254
(3z+1, z5+3){1}145254
(4z+1, z5+4){1}145254
(z+2, z5+1){1}445254
(2z+2, z5+2){1}445254
(3z+2, z5+3){1}445254
(4z+2, z5+4){1}445254
(z+3, z5+1){1}445254
(2z+3, z5+2){1}445254
(3z+3, z5+3){1}445254
(4z+3, z5+4){1}445254
(z+4, z5+1){1}245254
(2z+4, z5+2){1}245254
(3z+4, z5+3){1}245254
(4z+4, z5+4){1}245254
{(1,16), (5,10), (25,0)}[ 3/2, 1/2 ](z2+1, z10+1){1}1255316·53
(2z2+1, z10+2){1}22553
(3z2+1, z10+3){1}22553
(4z2+1, z10+4){1}12553
(z2+2, z10+1){1}42553
(2z2+2, z10+2){1}42553
(3z2+2, z10+3){1}42553
(4z2+2, z10+4){1}42553
(z2+3, z10+1){1}42553
(2z2+3, z10+2){1}42553
(3z2+3, z10+3){1}42553
(4z2+3, z10+4){1}42553
(z2+4, z10+1){1}22553
(2z2+4, z10+2){1}22553
(3z2+4, z10+3){1}22553
(4z2+4, z10+4){1}22553
{(1,16), (25,0)}[ 2/3 ](z8+1){1}43{ 300 }{ 25T28 }5534·53
(z8+2){1}83{ 600 }{ 25T45 }553
(z8+3){1}83{ 600 }{ 25T45 }553
(z8+4){1}23{ 150 }{ 25T16 }553
17{(1,17), (5,5), (25,0)}[ 3, 1/4 ](z4+1, z5+1){1}24525416·544·55
(2z4+1, z5+2){1}445254
(3z4+1, z5+3){1}445254
(4z4+1, z5+4){5}145354
(z4+2, z5+1){1}445254
(2z4+2, z5+2){1}245254
(3z4+2, z5+3){5}145354
(4z4+2, z5+4){1}445254
(z4+3, z5+1){1}445254
(2z4+3, z5+2){5}145354
(3z4+3, z5+3){1}245254
(4z4+3, z5+4){1}445254
(z4+4, z5+1){5}145354
(2z4+4, z5+2){1}445254
(3z4+4, z5+3){1}445254
(4z4+4, z5+4){1}245254
{(1,17), (5,10), (25,0)}[ 7/4, 1/2 ](z+1, z10+1){1}2455316·53
(2z+1, z10+2){1}44553
(3z+1, z10+3){1}44553
(4z+1, z10+4){1}14553
(z+2, z10+1){1}14553
(2z+2, z10+2){1}44553
(3z+2, z10+3){1}44553
(4z+2, z10+4){1}24553
(z+3, z10+1){1}14553
(2z+3, z10+2){1}44553
(3z+3, z10+3){1}44553
(4z+3, z10+4){1}24553
(z+4, z10+1){1}24553
(2z+4, z10+2){1}44553
(3z+4, z10+3){1}44553
(4z+4, z10+4){1}14553
{(1,17), (25,0)}[ 17/24 ](z+1){1}224{ 1200 }{ 25T56 }5534·53
(z+2){1}224{ 1200 }{ 25T56 }553
(z+3){1}224{ 1200 }{ 25T56 }553
(z+4){1}224{ 1200 }{ 25T56 }553
18{(1,18), (5,5), (25,0)}[ 13/4, 1/4 ](z+1, z5+1){1}14525416·544·55
(2z+1, z5+2){1}245254
(3z+1, z5+3){1}245254
(4z+1, z5+4){1}145254
(z+2, z5+1){1}445254
(2z+2, z5+2){1}445254
(3z+2, z5+3){1}445254
(4z+2, z5+4){1}445254
(z+3, z5+1){1}445254
(2z+3, z5+2){1}445254
(3z+3, z5+3){1}445254
(4z+3, z5+4){1}445254
(z+4, z5+1){1}245254
(2z+4, z5+2){1}145254
(3z+4, z5+3){1}145254
(4z+4, z5+4){1}245254
{(1,18), (5,10), (25,0)}[ 2, 1/2 ](z4+1, z10+1){1}2255316·53
(2z4+1, z10+2){1}42553
(3z4+1, z10+3){1}42553
(4z4+1, z10+4){5}125253
(z4+2, z10+1){1}42553
(2z4+2, z10+2){1}22553
(3z4+2, z10+3){5}225253
(4z4+2, z10+4){1}42553
(z4+3, z10+1){1}42553
(2z4+3, z10+2){5}225253
(3z4+3, z10+3){1}22553
(4z4+3, z10+4){1}42553
(z4+4, z10+1){5}125253
(2z4+4, z10+2){1}42553
(3z4+4, z10+3){1}42553
(4z4+4, z10+4){1}22553
{(1,18), (5,15), (25,0)}[ 3/4 ](z6+z+1){1}34{ 300 }{ 25T26 }15216·52
(z6+2z+1){1}54{ 500 }{ 25T34 }152
(z6+3z+1){1}54{ 500 }{ 25T34 }152
(z6+4z+1){1}34{ 300 }{ 25T26 }152
(z6+z+2){1}64{ 600 }{ 25T47 }152
(z6+2z+2){1}44{ 400 }{ 25T32 }152
(z6+3z+2){1}44{ 400 }{ 25T32 }152
(z6+4z+2){1}64{ 600 }{ 25T47 }152
(z6+z+3){1}44{ 400 }{ 25T32 }152
(z6+2z+3){1}64{ 600 }{ 25T47 }152
(z6+3z+3){1}64{ 600 }{ 25T47 }152
(z6+4z+3){1}44{ 400 }{ 25T32 }152
(z6+z+4){1}54{ 500 }{ 25T34 }152
(z6+2z+4){1}34{ 300 }{ 25T26 }152
(z6+3z+4){1}34{ 300 }{ 25T26 }152
(z6+4z+4){1}54{ 500 }{ 25T34 }152
{(1,18), (25,0)}[ 3/4 ](z6+1){1}24{ 200 }{ 25T19 }1524·52
(z6+2){1}24{ 200 }{ 25T20 }152
(z6+3){1}24{ 200 }{ 25T20 }152
(z6+4){1}24{ 200 }{ 25T19 }152
19{(1,19), (5,5), (25,0)}[ 7/2, 1/4 ](z2+1, z5+1){1}24525416·544·55
(2z2+1, z5+2){1}445254
(3z2+1, z5+3){1}445254
(4z2+1, z5+4){1}145254
(z2+2, z5+1){1}445254
(2z2+2, z5+2){1}145254
(3z2+2, z5+3){1}245254
(4z2+2, z5+4){1}445254
(z2+3, z5+1){1}445254
(2z2+3, z5+2){1}245254
(3z2+3, z5+3){1}145254
(4z2+3, z5+4){1}445254
(z2+4, z5+1){1}145254
(2z2+4, z5+2){1}445254
(3z2+4, z5+3){1}445254
(4z2+4, z5+4){1}245254
{(1,19), (5,10), (25,0)}[ 9/4, 1/2 ](z+1, z10+1){1}2455316·53
(2z+1, z10+2){1}44553
(3z+1, z10+3){1}44553
(4z+1, z10+4){1}14553
(z+2, z10+1){1}14553
(2z+2, z10+2){1}44553
(3z+2, z10+3){1}44553
(4z+2, z10+4){1}24553
(z+3, z10+1){1}14553
(2z+3, z10+2){1}44553
(3z+3, z10+3){1}44553
(4z+3, z10+4){1}24553
(z+4, z10+1){1}24553
(2z+4, z10+2){1}44553
(3z+4, z10+3){1}44553
(4z+4, z10+4){1}14553
{(1,19), (5,15), (25,0)}[ 1, 3/4 ](z4+1, z5+1){1}2415216·52
(2z4+1, z5+2){1}44152
(3z4+1, z5+3){1}44152
(4z4+1, z5+4){5}14552
(z4+2, z5+1){1}44152
(2z4+2, z5+2){1}24152
(3z4+2, z5+3){5}14552
(4z4+2, z5+4){1}44152
(z4+3, z5+1){1}44152
(2z4+3, z5+2){5}14552
(3z4+3, z5+3){1}24152
(4z4+3, z5+4){1}44152
(z4+4, z5+1){5}14552
(2z4+4, z5+2){1}44152
(3z4+4, z5+3){1}44152
(4z4+4, z5+4){1}24152
{(1,19), (25,0)}[ 19/24 ](z+1){1}224{ 1200 }{ 25T56 }1524·52
(z+2){1}224{ 1200 }{ 25T56 }152
(z+3){1}224{ 1200 }{ 25T56 }152
(z+4){1}224{ 1200 }{ 25T56 }152
21{(1,21), (5,5), (25,0)}[ 4, 1/4 ](z4+1, z5+1){1}24535516·554·56
(2z4+1, z5+2){1}445355
(3z4+1, z5+3){1}445355
(4z4+1, z5+4){5}145455
(z4+2, z5+1){1}445355
(2z4+2, z5+2){1}245355
(3z4+2, z5+3){5}145455
(4z4+2, z5+4){1}445355
(z4+3, z5+1){1}445355
(2z4+3, z5+2){5}145455
(3z4+3, z5+3){1}245355
(4z4+3, z5+4){1}445355
(z4+4, z5+1){5}145455
(2z4+4, z5+2){1}445355
(3z4+4, z5+3){1}445355
(4z4+4, z5+4){1}245355
{(1,21), (5,10), (25,0)}[ 11/4, 1/2 ](z+1, z10+1){1}24525416·54
(2z+1, z10+2){1}445254
(3z+1, z10+3){1}445254
(4z+1, z10+4){1}145254
(z+2, z10+1){1}145254
(2z+2, z10+2){1}445254
(3z+2, z10+3){1}445254
(4z+2, z10+4){1}245254
(z+3, z10+1){1}145254
(2z+3, z10+2){1}445254
(3z+3, z10+3){1}445254
(4z+3, z10+4){1}245254
(z+4, z10+1){1}245254
(2z+4, z10+2){1}445254
(3z+4, z10+3){1}445254
(4z+4, z10+4){1}145254
{(1,21), (5,15), (25,0)}[ 3/2, 3/4 ](z2+1, z5+1){1}2455316·53
(2z2+1, z5+2){1}44553
(3z2+1, z5+3){1}44553
(4z2+1, z5+4){1}14553
(z2+2, z5+1){1}44553
(2z2+2, z5+2){1}14553
(3z2+2, z5+3){1}24553
(4z2+2, z5+4){1}44553
(z2+3, z5+1){1}44553
(2z2+3, z5+2){1}24553
(3z2+3, z5+3){1}14553
(4z2+3, z5+4){1}44553
(z2+4, z5+1){1}14553
(2z2+4, z5+2){1}44553
(3z2+4, z5+3){1}44553
(4z2+4, z5+4){1}24553
{(1,21), (25,0)}[ 7/8 ](z3+1){1}28{ 400 }{ 25T31 }5534·53
(z3+2){1}28{ 400 }{ 25T31 }553
(z3+3){1}28{ 400 }{ 25T31 }553
(z3+4){1}28{ 400 }{ 25T31 }553
22{(1,22), (5,5), (25,0)}[ 17/4, 1/4 ](z+1, z5+1){1}14535516·554·56
(2z+1, z5+2){1}245355
(3z+1, z5+3){1}245355
(4z+1, z5+4){1}145355
(z+2, z5+1){1}445355
(2z+2, z5+2){1}445355
(3z+2, z5+3){1}445355
(4z+2, z5+4){1}445355
(z+3, z5+1){1}445355
(2z+3, z5+2){1}445355
(3z+3, z5+3){1}445355
(4z+3, z5+4){1}445355
(z+4, z5+1){1}245355
(2z+4, z5+2){1}145355
(3z+4, z5+3){1}145355
(4z+4, z5+4){1}245355
{(1,22), (5,10), (25,0)}[ 3, 1/2 ](z4+1, z10+1){1}22525416·54
(2z4+1, z10+2){1}425254
(3z4+1, z10+3){1}425254
(4z4+1, z10+4){5}125354
(z4+2, z10+1){1}425254
(2z4+2, z10+2){1}225254
(3z4+2, z10+3){5}225354
(4z4+2, z10+4){1}425254
(z4+3, z10+1){1}425254
(2z4+3, z10+2){5}225354
(3z4+3, z10+3){1}225254
(4z4+3, z10+4){1}425254
(z4+4, z10+1){5}125354
(2z4+4, z10+2){1}425254
(3z4+4, z10+3){1}425254
(4z4+4, z10+4){1}225254
{(1,22), (5,15), (25,0)}[ 7/4, 3/4 ](z+1, z5+1){1}1455316·53
(2z+1, z5+2){1}24553
(3z+1, z5+3){1}24553
(4z+1, z5+4){1}14553
(z+2, z5+1){1}44553
(2z+2, z5+2){1}44553
(3z+2, z5+3){1}44553
(4z+2, z5+4){1}44553
(z+3, z5+1){1}44553
(2z+3, z5+2){1}44553
(3z+3, z5+3){1}44553
(4z+3, z5+4){1}44553
(z+4, z5+1){1}24553
(2z+4, z5+2){1}14553
(3z+4, z5+3){1}14553
(4z+4, z5+4){1}24553
{(1,22), (25,0)}[ 11/12 ](z2+1){1}212{ 600 }{ 25T43 }5534·53
(z2+2){1}212{ 600 }{ 25T45 }553
(z2+3){1}212{ 600 }{ 25T45 }553
(z2+4){1}212{ 600 }{ 25T43 }553
23{(1,23), (5,5), (25,0)}[ 9/2, 1/4 ](z2+1, z5+1){1}24535516·554·56
(2z2+1, z5+2){1}445355
(3z2+1, z5+3){1}445355
(4z2+1, z5+4){1}145355
(z2+2, z5+1){1}445355
(2z2+2, z5+2){1}145355
(3z2+2, z5+3){1}245355
(4z2+2, z5+4){1}445355
(z2+3, z5+1){1}445355
(2z2+3, z5+2){1}245355
(3z2+3, z5+3){1}145355
(4z2+3, z5+4){1}445355
(z2+4, z5+1){1}145355
(2z2+4, z5+2){1}445355
(3z2+4, z5+3){1}445355
(4z2+4, z5+4){1}245355
{(1,23), (5,10), (25,0)}[ 13/4, 1/2 ](z+1, z10+1){1}24525416·54
(2z+1, z10+2){1}445254
(3z+1, z10+3){1}445254
(4z+1, z10+4){1}145254
(z+2, z10+1){1}145254
(2z+2, z10+2){1}445254
(3z+2, z10+3){1}445254
(4z+2, z10+4){1}245254
(z+3, z10+1){1}145254
(2z+3, z10+2){1}445254
(3z+3, z10+3){1}445254
(4z+3, z10+4){1}245254
(z+4, z10+1){1}245254
(2z+4, z10+2){1}445254
(3z+4, z10+3){1}445254
(4z+4, z10+4){1}145254
{(1,23), (5,15), (25,0)}[ 2, 3/4 ](z4+1, z5+1){1}2455316·53
(2z4+1, z5+2){1}44553
(3z4+1, z5+3){1}44553
(4z4+1, z5+4){5}145253
(z4+2, z5+1){1}44553
(2z4+2, z5+2){1}24553
(3z4+2, z5+3){5}145253
(4z4+2, z5+4){1}44553
(z4+3, z5+1){1}44553
(2z4+3, z5+2){5}145253
(3z4+3, z5+3){1}24553
(4z4+3, z5+4){1}44553
(z4+4, z5+1){5}145253
(2z4+4, z5+2){1}44553
(3z4+4, z5+3){1}44553
(4z4+4, z5+4){1}24553
{(1,23), (25,0)}[ 23/24 ](z+1){1}224{ 1200 }{ 25T56 }5534·53
(z+2){1}224{ 1200 }{ 25T56 }553
(z+3){1}224{ 1200 }{ 25T56 }553
(z+4){1}224{ 1200 }{ 25T56 }553
24{(1,24), (5,5), (25,0)}[ 19/4, 1/4 ](z+1, z5+1){1}14535516·554·56
(2z+1, z5+2){1}145355
(3z+1, z5+3){1}145355
(4z+1, z5+4){1}145355
(z+2, z5+1){1}445355
(2z+2, z5+2){1}445355
(3z+2, z5+3){1}445355
(4z+2, z5+4){1}445355
(z+3, z5+1){1}445355
(2z+3, z5+2){1}445355
(3z+3, z5+3){1}445355
(4z+3, z5+4){1}445355
(z+4, z5+1){1}245355
(2z+4, z5+2){1}245355
(3z+4, z5+3){1}245355
(4z+4, z5+4){1}245355
{(1,24), (5,10), (25,0)}[ 7/2, 1/2 ](z2+1, z10+1){1}12525416·54
(2z2+1, z10+2){1}225254
(3z2+1, z10+3){1}225254
(4z2+1, z10+4){1}125254
(z2+2, z10+1){1}425254
(2z2+2, z10+2){1}425254
(3z2+2, z10+3){1}425254
(4z2+2, z10+4){1}425254
(z2+3, z10+1){1}425254
(2z2+3, z10+2){1}425254
(3z2+3, z10+3){1}425254
(4z2+3, z10+4){1}425254
(z2+4, z10+1){1}225254
(2z2+4, z10+2){1}225254
(3z2+4, z10+3){1}225254
(4z2+4, z10+4){1}225254
{(1,24), (5,15), (25,0)}[ 9/4, 3/4 ](z+1, z5+1){1}1455316·53
(2z+1, z5+2){1}14553
(3z+1, z5+3){1}14553
(4z+1, z5+4){1}14553
(z+2, z5+1){1}44553
(2z+2, z5+2){1}44553
(3z+2, z5+3){1}44553
(4z+2, z5+4){1}44553
(z+3, z5+1){1}44553
(2z+3, z5+2){1}44553
(3z+3, z5+3){1}44553
(4z+3, z5+4){1}44553
(z+4, z5+1){1}24553
(2z+4, z5+2){1}24553
(3z+4, z5+3){1}24553
(4z+4, z5+4){1}24553
{(1,24), (5,20), (25,0)}[ 1 ](z24+z4+1){1}31{ 75 }{ 25T6 }15216·52
(z24+2z4+1){1}101{ 250 }{ 25T23 }152
(z24+3z4+1){5}51{ 125 }{ 25T14 }552
(z24+4z4+1){1}61{ 150 }{ 25T15 }152
(z24+z4+2){1}241{ 600 }{ 25T47 }152
(z24+2z4+2){5}41{ 100 }{ 25T7 }552
(z24+3z4+2){1}41{ 100 }{ 25T11 }152
(z24+4z4+2){1}241{ 600 }{ 25T47 }152
(z24+z4+3){5}41{ 100 }{ 25T7 }552
(z24+2z4+3){1}241{ 600 }{ 25T47 }152
(z24+3z4+3){1}241{ 600 }{ 25T47 }152
(z24+4z4+3){1}41{ 100 }{ 25T11 }152
(z24+z4+4){1}201{ 500 }{ 25T34 }152
(z24+2z4+4){1}121{ 300 }{ 25T26 }152
(z24+3z4+4){1}121{ 300 }{ 25T26 }152
(z24+4z4+4){1}201{ 500 }{ 25T34 }152
{(1,24), (25,0)}[ 1 ](z24+1){1}41{ 100 }{ 25T10 }1524·52
(z24+2){1}81{ 200 }{ 25T20 }152
(z24+3){1}81{ 200 }{ 25T20 }152
(z24+4){5}21{ 50 }{ 25T3 }552
26{(1,26), (5,5), (25,0)}[ 21/4, 1/4 ](z+1, z5+1){1}14545616·564·57
(2z+1, z5+2){1}245456
(3z+1, z5+3){1}245456
(4z+1, z5+4){1}145456
(z+2, z5+1){1}445456
(2z+2, z5+2){1}445456
(3z+2, z5+3){1}445456
(4z+2, z5+4){1}445456
(z+3, z5+1){1}445456
(2z+3, z5+2){1}445456
(3z+3, z5+3){1}445456
(4z+3, z5+4){1}445456
(z+4, z5+1){1}245456
(2z+4, z5+2){1}145456
(3z+4, z5+3){1}145456
(4z+4, z5+4){1}245456
{(1,26), (5,10), (25,0)}[ 4, 1/2 ](z4+1, z10+1){1}22535516·55
(2z4+1, z10+2){1}425355
(3z4+1, z10+3){1}425355
(4z4+1, z10+4){5}125455
(z4+2, z10+1){1}425355
(2z4+2, z10+2){1}225355
(3z4+2, z10+3){5}225455
(4z4+2, z10+4){1}425355
(z4+3, z10+1){1}425355
(2z4+3, z10+2){5}225455
(3z4+3, z10+3){1}225355
(4z4+3, z10+4){1}425355
(z4+4, z10+1){5}125455
(2z4+4, z10+2){1}425355
(3z4+4, z10+3){1}425355
(4z4+4, z10+4){1}225355
{(1,26), (5,15), (25,0)}[ 11/4, 3/4 ](z+1, z5+1){1}14525416·54
(2z+1, z5+2){1}245254
(3z+1, z5+3){1}245254
(4z+1, z5+4){1}145254
(z+2, z5+1){1}445254
(2z+2, z5+2){1}445254
(3z+2, z5+3){1}445254
(4z+2, z5+4){1}445254
(z+3, z5+1){1}445254
(2z+3, z5+2){1}445254
(3z+3, z5+3){1}445254
(4z+3, z5+4){1}445254
(z+4, z5+1){1}245254
(2z+4, z5+2){1}145254
(3z+4, z5+3){1}145254
(4z+4, z5+4){1}245254
{(1,26), (5,20), (25,0)}[ 3/2, 1 ](z2+1, z20+1){1}2255316·53
(2z2+1, z20+2){1}42553
(3z2+1, z20+3){1}42553
(4z2+1, z20+4){1}1252 [5]53
(z2+2, z20+1){1}22553
(2z2+2, z20+2){1}42553
(3z2+2, z20+3){1}42553
(4z2+2, z20+4){1}2252 [5]53
(z2+3, z20+1){1}22553
(2z2+3, z20+2){1}42553
(3z2+3, z20+3){1}42553
(4z2+3, z20+4){1}2252 [5]53
(z2+4, z20+1){1}22553
(2z2+4, z20+2){1}42553
(3z2+4, z20+3){1}42553
(4z2+4, z20+4){1}1252 [5]53
27{(1,27), (5,5), (25,0)}[ 11/2, 1/4 ](z2+1, z5+1){1}24545616·564·57
(2z2+1, z5+2){1}445456
(3z2+1, z5+3){1}445456
(4z2+1, z5+4){1}145456
(z2+2, z5+1){1}445456
(2z2+2, z5+2){1}145456
(3z2+2, z5+3){1}245456
(4z2+2, z5+4){1}445456
(z2+3, z5+1){1}445456
(2z2+3, z5+2){1}245456
(3z2+3, z5+3){1}145456
(4z2+3, z5+4){1}445456
(z2+4, z5+1){1}145456
(2z2+4, z5+2){1}445456
(3z2+4, z5+3){1}445456
(4z2+4, z5+4){1}245456
{(1,27), (5,10), (25,0)}[ 17/4, 1/2 ](z+1, z10+1){1}24535516·55
(2z+1, z10+2){1}445355
(3z+1, z10+3){1}445355
(4z+1, z10+4){1}145355
(z+2, z10+1){1}145355
(2z+2, z10+2){1}445355
(3z+2, z10+3){1}445355
(4z+2, z10+4){1}245355
(z+3, z10+1){1}145355
(2z+3, z10+2){1}445355
(3z+3, z10+3){1}445355
(4z+3, z10+4){1}245355
(z+4, z10+1){1}245355
(2z+4, z10+2){1}445355
(3z+4, z10+3){1}445355
(4z+4, z10+4){1}145355
{(1,27), (5,15), (25,0)}[ 3, 3/4 ](z4+1, z5+1){1}24525416·54
(2z4+1, z5+2){1}445254
(3z4+1, z5+3){1}445254
(4z4+1, z5+4){5}145354
(z4+2, z5+1){1}445254
(2z4+2, z5+2){1}245254
(3z4+2, z5+3){5}145354
(4z4+2, z5+4){1}445254
(z4+3, z5+1){1}445254
(2z4+3, z5+2){5}145354
(3z4+3, z5+3){1}245254
(4z4+3, z5+4){1}445254
(z4+4, z5+1){5}145354
(2z4+4, z5+2){1}445254
(3z4+4, z5+3){1}445254
(4z4+4, z5+4){1}245254
{(1,27), (5,20), (25,0)}[ 7/4, 1 ](z+1, z20+1){1}2455316·53
(2z+1, z20+2){1}44553
(3z+1, z20+3){1}44553
(4z+1, z20+4){1}1452 [5]53
(z+2, z20+1){1}24553
(2z+2, z20+2){1}44553
(3z+2, z20+3){1}44553
(4z+2, z20+4){1}1452 [5]53
(z+3, z20+1){1}24553
(2z+3, z20+2){1}44553
(3z+3, z20+3){1}44553
(4z+3, z20+4){1}1452 [5]53
(z+4, z20+1){1}24553
(2z+4, z20+2){1}44553
(3z+4, z20+3){1}44553
(4z+4, z20+4){1}1452 [5]53
28{(1,28), (5,5), (25,0)}[ 23/4, 1/4 ](z+1, z5+1){1}14545616·564·57
(2z+1, z5+2){1}145456
(3z+1, z5+3){1}145456
(4z+1, z5+4){1}145456
(z+2, z5+1){1}445456
(2z+2, z5+2){1}445456
(3z+2, z5+3){1}445456
(4z+2, z5+4){1}445456
(z+3, z5+1){1}445456
(2z+3, z5+2){1}445456
(3z+3, z5+3){1}445456
(4z+3, z5+4){1}445456
(z+4, z5+1){1}245456
(2z+4, z5+2){1}245456
(3z+4, z5+3){1}245456
(4z+4, z5+4){1}245456
{(1,28), (5,10), (25,0)}[ 9/2, 1/2 ](z2+1, z10+1){1}12535516·55
(2z2+1, z10+2){1}225355
(3z2+1, z10+3){1}225355
(4z2+1, z10+4){1}125355
(z2+2, z10+1){1}425355
(2z2+2, z10+2){1}425355
(3z2+2, z10+3){1}425355
(4z2+2, z10+4){1}425355
(z2+3, z10+1){1}425355
(2z2+3, z10+2){1}425355
(3z2+3, z10+3){1}425355
(4z2+3, z10+4){1}425355
(z2+4, z10+1){1}225355
(2z2+4, z10+2){1}225355
(3z2+4, z10+3){1}225355
(4z2+4, z10+4){1}225355
{(1,28), (5,15), (25,0)}[ 13/4, 3/4 ](z+1, z5+1){1}14525416·54
(2z+1, z5+2){1}145254
(3z+1, z5+3){1}145254
(4z+1, z5+4){1}145254
(z+2, z5+1){1}445254
(2z+2, z5+2){1}445254
(3z+2, z5+3){1}445254
(4z+2, z5+4){1}445254
(z+3, z5+1){1}445254
(2z+3, z5+2){1}445254
(3z+3, z5+3){1}445254
(4z+3, z5+4){1}445254
(z+4, z5+1){1}245254
(2z+4, z5+2){1}245254
(3z+4, z5+3){1}245254
(4z+4, z5+4){1}245254
{(1,28), (5,20), (25,0)}[ 2, 1 ](z4+1, z20+1){1}2155316·53
(2z4+1, z20+2){1}41553
(3z4+1, z20+3){1}41553
(4z4+1, z20+4){5}1153 [52]53
(z4+2, z20+1){1}41553
(2z4+2, z20+2){1}41553
(3z4+2, z20+3){5}415253
(4z4+2, z20+4){1}4152 [5]53
(z4+3, z20+1){1}41553
(2z4+3, z20+2){5}415253
(3z4+3, z20+3){1}41553
(4z4+3, z20+4){1}4152 [5]53
(z4+4, z20+1){5}215253
(2z4+4, z20+2){1}41553
(3z4+4, z20+3){1}41553
(4z4+4, z20+4){1}2152 [5]53
29{(1,29), (5,5), (25,0)}[ 6, 1/4 ](z4+1, z5+1){1}24545616·564·57
(2z4+1, z5+2){1}445456
(3z4+1, z5+3){1}445456
(4z4+1, z5+4){5}145556
(z4+2, z5+1){1}445456
(2z4+2, z5+2){1}245456
(3z4+2, z5+3){5}145556
(4z4+2, z5+4){1}445456
(z4+3, z5+1){1}445456
(2z4+3, z5+2){5}145556
(3z4+3, z5+3){1}245456
(4z4+3, z5+4){1}445456
(z4+4, z5+1){5}145556
(2z4+4, z5+2){1}445456
(3z4+4, z5+3){1}445456
(4z4+4, z5+4){1}245456
{(1,29), (5,10), (25,0)}[ 19/4, 1/2 ](z+1, z10+1){1}24535516·55
(2z+1, z10+2){1}445355
(3z+1, z10+3){1}445355
(4z+1, z10+4){1}145355
(z+2, z10+1){1}145355
(2z+2, z10+2){1}445355
(3z+2, z10+3){1}445355
(4z+2, z10+4){1}245355
(z+3, z10+1){1}145355
(2z+3, z10+2){1}445355
(3z+3, z10+3){1}445355
(4z+3, z10+4){1}245355
(z+4, z10+1){1}245355
(2z+4, z10+2){1}445355
(3z+4, z10+3){1}445355
(4z+4, z10+4){1}145355
{(1,29), (5,15), (25,0)}[ 7/2, 3/4 ](z2+1, z5+1){1}24525416·54
(2z2+1, z5+2){1}445254
(3z2+1, z5+3){1}445254
(4z2+1, z5+4){1}145254
(z2+2, z5+1){1}445254
(2z2+2, z5+2){1}145254
(3z2+2, z5+3){1}245254
(4z2+2, z5+4){1}445254
(z2+3, z5+1){1}445254
(2z2+3, z5+2){1}245254
(3z2+3, z5+3){1}145254
(4z2+3, z5+4){1}445254
(z2+4, z5+1){1}145254
(2z2+4, z5+2){1}445254
(3z2+4, z5+3){1}445254
(4z2+4, z5+4){1}245254
{(1,29), (5,20), (25,0)}[ 9/4, 1 ](z+1, z20+1){1}2455316·53
(2z+1, z20+2){1}44553
(3z+1, z20+3){1}44553
(4z+1, z20+4){5}1452 [52]53
(z+2, z20+1){1}24553
(2z+2, z20+2){1}44553
(3z+2, z20+3){1}44553
(4z+2, z20+4){1}1452 [5]53
(z+3, z20+1){1}24553
(2z+3, z20+2){1}44553
(3z+3, z20+3){1}44553
(4z+3, z20+4){1}1452 [5]53
(z+4, z20+1){1}24553
(2z+4, z20+2){1}44553
(3z+4, z20+3){1}44553
(4z+4, z20+4){1}1452 [5]53
30{(1,30), (5,5), (25,0)}[ 25/4, 1/4 ](4z+1, z5+4){1}1455574·574·57
(3z+2, z5+3){1}445557
(2z+3, z5+2){1}445557
(z+4, z5+1){1}245557
31{(1,31), (5,10), (25,0)}[ 21/4, 1/2 ](z+1, z10+1){1}24545616·564·57
(2z+1, z10+2){1}445456
(3z+1, z10+3){1}445456
(4z+1, z10+4){1}145456
(z+2, z10+1){1}145456
(2z+2, z10+2){1}445456
(3z+2, z10+3){1}445456
(4z+2, z10+4){1}245456
(z+3, z10+1){1}145456
(2z+3, z10+2){1}445456
(3z+3, z10+3){1}445456
(4z+3, z10+4){1}245456
(z+4, z10+1){1}245456
(2z+4, z10+2){1}445456
(3z+4, z10+3){1}445456
(4z+4, z10+4){1}145456
{(1,31), (5,15), (25,0)}[ 4, 3/4 ](z4+1, z5+1){1}24535516·55
(2z4+1, z5+2){1}445355
(3z4+1, z5+3){1}445355
(4z4+1, z5+4){5}145455
(z4+2, z5+1){1}445355
(2z4+2, z5+2){1}245355
(3z4+2, z5+3){5}145455
(4z4+2, z5+4){1}445355
(z4+3, z5+1){1}445355
(2z4+3, z5+2){5}145455
(3z4+3, z5+3){1}245355
(4z4+3, z5+4){1}445355
(z4+4, z5+1){5}145455
(2z4+4, z5+2){1}445355
(3z4+4, z5+3){1}445355
(4z4+4, z5+4){1}245355
{(1,31), (5,20), (25,0)}[ 11/4, 1 ](z+1, z20+1){1}24525416·54
(2z+1, z20+2){1}445254
(3z+1, z20+3){1}445254
(4z+1, z20+4){1}1453 [52]54
(z+2, z20+1){1}245254
(2z+2, z20+2){1}445254
(3z+2, z20+3){1}445254
(4z+2, z20+4){1}1453 [52]54
(z+3, z20+1){1}245254
(2z+3, z20+2){1}445254
(3z+3, z20+3){1}445254
(4z+3, z20+4){1}1453 [52]54
(z+4, z20+1){1}245254
(2z+4, z20+2){1}445254
(3z+4, z20+3){1}445254
(4z+4, z20+4){1}1453 [52]54
{(1,31), (5,25), (25,0)}[ 3/2, 5/4 ](4z2+1, z5+4){1}1452544·54
(4z2+2, z5+4){1}445254
(4z2+3, z5+4){1}445254
(4z2+4, z5+4){1}245254
32{(1,32), (5,10), (25,0)}[ 11/2, 1/2 ](z2+1, z10+1){1}12545616·564·57
(2z2+1, z10+2){1}225456
(3z2+1, z10+3){1}225456
(4z2+1, z10+4){1}125456
(z2+2, z10+1){1}425456
(2z2+2, z10+2){1}425456
(3z2+2, z10+3){1}425456
(4z2+2, z10+4){1}425456
(z2+3, z10+1){1}425456
(2z2+3, z10+2){1}425456
(3z2+3, z10+3){1}425456
(4z2+3, z10+4){1}425456
(z2+4, z10+1){1}225456
(2z2+4, z10+2){1}225456
(3z2+4, z10+3){1}225456
(4z2+4, z10+4){1}225456
{(1,32), (5,15), (25,0)}[ 17/4, 3/4 ](z+1, z5+1){1}14535516·55
(2z+1, z5+2){1}145355
(3z+1, z5+3){1}145355
(4z+1, z5+4){1}145355
(z+2, z5+1){1}445355
(2z+2, z5+2){1}445355
(3z+2, z5+3){1}445355
(4z+2, z5+4){1}445355
(z+3, z5+1){1}445355
(2z+3, z5+2){1}445355
(3z+3, z5+3){1}445355
(4z+3, z5+4){1}445355
(z+4, z5+1){1}245355
(2z+4, z5+2){1}245355
(3z+4, z5+3){1}245355
(4z+4, z5+4){1}245355
{(1,32), (5,20), (25,0)}[ 3, 1 ](z4+1, z20+1){1}21525416·54
(2z4+1, z20+2){1}415254
(3z4+1, z20+3){1}415254
(4z4+1, z20+4){5}1154 [53]54
(z4+2, z20+1){1}415254
(2z4+2, z20+2){1}415254
(3z4+2, z20+3){5}415354
(4z4+2, z20+4){1}4153 [52]54
(z4+3, z20+1){1}415254
(2z4+3, z20+2){5}415354
(3z4+3, z20+3){1}415254
(4z4+3, z20+4){1}4153 [52]54
(z4+4, z20+1){5}215354
(2z4+4, z20+2){1}415254
(3z4+4, z20+3){1}415254
(4z4+4, z20+4){1}2153 [52]54
{(1,32), (5,25), (25,0)}[ 7/4, 5/4 ](4z+1, z5+4){1}1452544·54
(4z+2, z5+4){1}445254
(4z+3, z5+4){1}445254
(4z+4, z5+4){1}245254
33{(1,33), (5,10), (25,0)}[ 23/4, 1/2 ](z+1, z10+1){1}24545616·564·57
(2z+1, z10+2){1}445456
(3z+1, z10+3){1}445456
(4z+1, z10+4){1}145456
(z+2, z10+1){1}145456
(2z+2, z10+2){1}445456
(3z+2, z10+3){1}445456
(4z+2, z10+4){1}245456
(z+3, z10+1){1}145456
(2z+3, z10+2){1}445456
(3z+3, z10+3){1}445456
(4z+3, z10+4){1}245456
(z+4, z10+1){1}245456
(2z+4, z10+2){1}445456
(3z+4, z10+3){1}445456
(4z+4, z10+4){1}145456
{(1,33), (5,15), (25,0)}[ 9/2, 3/4 ](z2+1, z5+1){1}24535516·55
(2z2+1, z5+2){1}445355
(3z2+1, z5+3){1}445355
(4z2+1, z5+4){1}145355
(z2+2, z5+1){1}445355
(2z2+2, z5+2){1}145355
(3z2+2, z5+3){1}245355
(4z2+2, z5+4){1}445355
(z2+3, z5+1){1}445355
(2z2+3, z5+2){1}245355
(3z2+3, z5+3){1}145355
(4z2+3, z5+4){1}445355
(z2+4, z5+1){1}145355
(2z2+4, z5+2){1}445355
(3z2+4, z5+3){1}445355
(4z2+4, z5+4){1}245355
{(1,33), (5,20), (25,0)}[ 13/4, 1 ](z+1, z20+1){1}24525416·54
(2z+1, z20+2){1}445254
(3z+1, z20+3){1}445254
(4z+1, z20+4){1}1453 [52]54
(z+2, z20+1){1}245254
(2z+2, z20+2){1}445254
(3z+2, z20+3){1}445254
(4z+2, z20+4){1}1453 [52]54
(z+3, z20+1){1}245254
(2z+3, z20+2){1}445254
(3z+3, z20+3){1}445254
(4z+3, z20+4){1}1453 [52]54
(z+4, z20+1){1}245254
(2z+4, z20+2){1}445254
(3z+4, z20+3){1}445254
(4z+4, z20+4){1}1453 [52]54
{(1,33), (5,25), (25,0)}[ 2, 5/4 ](4z4+1, z5+4){5}1453544·54
(4z4+2, z5+4){1}445254
(4z4+3, z5+4){1}445254
(4z4+4, z5+4){1}245254
34{(1,34), (5,10), (25,0)}[ 6, 1/2 ](z4+1, z10+1){1}22545616·564·57
(2z4+1, z10+2){1}425456
(3z4+1, z10+3){1}425456
(4z4+1, z10+4){5}125556
(z4+2, z10+1){1}425456
(2z4+2, z10+2){1}225456
(3z4+2, z10+3){5}225556
(4z4+2, z10+4){1}425456
(z4+3, z10+1){1}425456
(2z4+3, z10+2){5}225556
(3z4+3, z10+3){1}225456
(4z4+3, z10+4){1}425456
(z4+4, z10+1){5}125556
(2z4+4, z10+2){1}425456
(3z4+4, z10+3){1}425456
(4z4+4, z10+4){1}225456
{(1,34), (5,15), (25,0)}[ 19/4, 3/4 ](z+1, z5+1){1}14535516·55
(2z+1, z5+2){1}245355
(3z+1, z5+3){1}245355
(4z+1, z5+4){1}145355
(z+2, z5+1){1}445355
(2z+2, z5+2){1}445355
(3z+2, z5+3){1}445355
(4z+2, z5+4){1}445355
(z+3, z5+1){1}445355
(2z+3, z5+2){1}445355
(3z+3, z5+3){1}445355
(4z+3, z5+4){1}445355
(z+4, z5+1){1}245355
(2z+4, z5+2){1}145355
(3z+4, z5+3){1}145355
(4z+4, z5+4){1}245355
{(1,34), (5,20), (25,0)}[ 7/2, 1 ](z2+1, z20+1){1}22525416·54
(2z2+1, z20+2){1}425254
(3z2+1, z20+3){1}425254
(4z2+1, z20+4){1}1253 [52]54
(z2+2, z20+1){1}225254
(2z2+2, z20+2){1}425254
(3z2+2, z20+3){1}425254
(4z2+2, z20+4){1}2253 [52]54
(z2+3, z20+1){1}225254
(2z2+3, z20+2){1}425254
(3z2+3, z20+3){1}425254
(4z2+3, z20+4){1}2253 [52]54
(z2+4, z20+1){1}225254
(2z2+4, z20+2){1}425254
(3z2+4, z20+3){1}425254
(4z2+4, z20+4){1}1253 [52]54
{(1,34), (5,25), (25,0)}[ 9/4, 5/4 ](4z+1, z5+4){1}1452544·54
(4z+2, z5+4){1}445254
(4z+3, z5+4){1}445254
(4z+4, z5+4){1}245254
35{(1,35), (5,10), (25,0)}[ 25/4, 1/2 ](4z+1, z10+4){1}1455574·574·57
(3z+2, z10+3){1}445557
(2z+3, z10+2){1}445557
(z+4, z10+1){1}245557
36{(1,36), (5,15), (25,0)}[ 21/4, 3/4 ](z+1, z5+1){1}14545616·564·57
(2z+1, z5+2){1}145456
(3z+1, z5+3){1}145456
(4z+1, z5+4){1}145456
(z+2, z5+1){1}445456
(2z+2, z5+2){1}445456
(3z+2, z5+3){1}445456
(4z+2, z5+4){1}445456
(z+3, z5+1){1}445456
(2z+3, z5+2){1}445456
(3z+3, z5+3){1}445456
(4z+3, z5+4){1}445456
(z+4, z5+1){1}245456
(2z+4, z5+2){1}245456
(3z+4, z5+3){1}245456
(4z+4, z5+4){1}245456
{(1,36), (5,20), (25,0)}[ 4, 1 ](z4+1, z20+1){1}21535516·55
(2z4+1, z20+2){1}415355
(3z4+1, z20+3){1}415355
(4z4+1, z20+4){5,25}1155 [?]55
(z4+2, z20+1){1}415355
(2z4+2, z20+2){1}415355
(3z4+2, z20+3){5}415455
(4z4+2, z20+4){1}4154 [53]55
(z4+3, z20+1){1}415355
(2z4+3, z20+2){5}415455
(3z4+3, z20+3){1}415355
(4z4+3, z20+4){1}4154 [53]55
(z4+4, z20+1){5}215455
(2z4+4, z20+2){1}415355
(3z4+4, z20+3){1}415355
(4z4+4, z20+4){1}2154 [53]55
{(1,36), (5,25), (25,0)}[ 11/4, 5/4 ](4z+1, z5+4){1}1453554·55
(4z+2, z5+4){1}445355
(4z+3, z5+4){1}445355
(4z+4, z5+4){1}245355
37{(1,37), (5,15), (25,0)}[ 11/2, 3/4 ](z2+1, z5+1){1}24545616·564·57
(2z2+1, z5+2){1}445456
(3z2+1, z5+3){1}445456
(4z2+1, z5+4){1}145456
(z2+2, z5+1){1}445456
(2z2+2, z5+2){1}145456
(3z2+2, z5+3){1}245456
(4z2+2, z5+4){1}445456
(z2+3, z5+1){1}445456
(2z2+3, z5+2){1}245456
(3z2+3, z5+3){1}145456
(4z2+3, z5+4){1}445456
(z2+4, z5+1){1}145456
(2z2+4, z5+2){1}445456
(3z2+4, z5+3){1}445456
(4z2+4, z5+4){1}245456
{(1,37), (5,20), (25,0)}[ 17/4, 1 ](z+1, z20+1){1}24535516·55
(2z+1, z20+2){1}445355
(3z+1, z20+3){1}445355
(4z+1, z20+4){1}1454 [53]55
(z+2, z20+1){1}245355
(2z+2, z20+2){1}445355
(3z+2, z20+3){1}445355
(4z+2, z20+4){1}1454 [53]55
(z+3, z20+1){1}245355
(2z+3, z20+2){1}445355
(3z+3, z20+3){1}445355
(4z+3, z20+4){1}1454 [53]55
(z+4, z20+1){1}245355
(2z+4, z20+2){1}445355
(3z+4, z20+3){1}445355
(4z+4, z20+4){1}1454 [53]55
{(1,37), (5,25), (25,0)}[ 3, 5/4 ](4z4+1, z5+4){5}1454554·55
(4z4+2, z5+4){1}445355
(4z4+3, z5+4){1}445355
(4z4+4, z5+4){1}245355
38{(1,38), (5,15), (25,0)}[ 23/4, 3/4 ](z+1, z5+1){1}14545616·564·57
(2z+1, z5+2){1}245456
(3z+1, z5+3){1}245456
(4z+1, z5+4){1}145456
(z+2, z5+1){1}445456
(2z+2, z5+2){1}445456
(3z+2, z5+3){1}445456
(4z+2, z5+4){1}445456
(z+3, z5+1){1}445456
(2z+3, z5+2){1}445456
(3z+3, z5+3){1}445456
(4z+3, z5+4){1}445456
(z+4, z5+1){1}245456
(2z+4, z5+2){1}145456
(3z+4, z5+3){1}145456
(4z+4, z5+4){1}245456
{(1,38), (5,20), (25,0)}[ 9/2, 1 ](z2+1, z20+1){1}22535516·55
(2z2+1, z20+2){1}425355
(3z2+1, z20+3){1}425355
(4z2+1, z20+4){1}1254 [53]55
(z2+2, z20+1){1}225355
(2z2+2, z20+2){1}425355
(3z2+2, z20+3){1}425355
(4z2+2, z20+4){1}2254 [53]55
(z2+3, z20+1){1}225355
(2z2+3, z20+2){1}425355
(3z2+3, z20+3){1}425355
(4z2+3, z20+4){1}2254 [53]55
(z2+4, z20+1){1}225355
(2z2+4, z20+2){1}425355
(3z2+4, z20+3){1}425355
(4z2+4, z20+4){1}1254 [53]55
{(1,38), (5,25), (25,0)}[ 13/4, 5/4 ](4z+1, z5+4){1}1453554·55
(4z+2, z5+4){1}445355
(4z+3, z5+4){1}445355
(4z+4, z5+4){1}245355
39{(1,39), (5,15), (25,0)}[ 6, 3/4 ](z4+1, z5+1){1}24545616·564·57
(2z4+1, z5+2){1}445456
(3z4+1, z5+3){1}445456
(4z4+1, z5+4){5}145556
(z4+2, z5+1){1}445456
(2z4+2, z5+2){1}245456
(3z4+2, z5+3){5}145556
(4z4+2, z5+4){1}445456
(z4+3, z5+1){1}445456
(2z4+3, z5+2){5}145556
(3z4+3, z5+3){1}245456
(4z4+3, z5+4){1}445456
(z4+4, z5+1){5}145556
(2z4+4, z5+2){1}445456
(3z4+4, z5+3){1}445456
(4z4+4, z5+4){1}245456
{(1,39), (5,20), (25,0)}[ 19/4, 1 ](z+1, z20+1){1}24535516·55
(2z+1, z20+2){1}445355
(3z+1, z20+3){1}445355
(4z+1, z20+4){1}1454 [53]55
(z+2, z20+1){1}245355
(2z+2, z20+2){1}445355
(3z+2, z20+3){1}445355
(4z+2, z20+4){1}1454 [53]55
(z+3, z20+1){1}245355
(2z+3, z20+2){1}445355
(3z+3, z20+3){1}445355
(4z+3, z20+4){1}1454 [53]55
(z+4, z20+1){1}245355
(2z+4, z20+2){1}445355
(3z+4, z20+3){1}445355
(4z+4, z20+4){1}1454 [53]55
{(1,39), (5,25), (25,0)}[ 7/2, 5/4 ](4z2+1, z5+4){1}1453554·55
(4z2+2, z5+4){1}445355
(4z2+3, z5+4){1}445355
(4z2+4, z5+4){1}245355
40{(1,40), (5,15), (25,0)}[ 25/4, 3/4 ](4z+1, z5+4){1}1455574·574·57
(3z+2, z5+3){1}445557
(2z+3, z5+2){1}445557
(z+4, z5+1){1}245557
41{(1,41), (5,20), (25,0)}[ 21/4, 1 ](z+1, z20+1){1}24545616·564·57
(2z+1, z20+2){1}445456
(3z+1, z20+3){1}445456
(4z+1, z20+4){1,5}1455 [?]56
(z+2, z20+1){1}245456
(2z+2, z20+2){1}445456
(3z+2, z20+3){1}445456
(4z+2, z20+4){1,5}1455 [?]56
(z+3, z20+1){1}245456
(2z+3, z20+2){1}445456
(3z+3, z20+3){1}445456
(4z+3, z20+4){1,5}1455 [?]56
(z+4, z20+1){1}245456
(2z+4, z20+2){1}445456
(3z+4, z20+3){1}445456
(4z+4, z20+4){1,5}1455 [?]56
{(1,41), (5,25), (25,0)}[ 4, 5/4 ](4z4+1, z5+4){5}1455564·56
(4z4+2, z5+4){1}445456
(4z4+3, z5+4){1}445456
(4z4+4, z5+4){1}245456
42{(1,42), (5,20), (25,0)}[ 11/2, 1 ](z2+1, z20+1){1}22545616·564·57
(2z2+1, z20+2){1}425456
(3z2+1, z20+3){1}425456
(4z2+1, z20+4){1,5}1255 [?]56
(z2+2, z20+1){1}225456
(2z2+2, z20+2){1}425456
(3z2+2, z20+3){1}425456
(4z2+2, z20+4){1,5}2255 [?]56
(z2+3, z20+1){1}225456
(2z2+3, z20+2){1}425456
(3z2+3, z20+3){1}425456
(4z2+3, z20+4){1,5}2255 [?]56
(z2+4, z20+1){1}225456
(2z2+4, z20+2){1}425456
(3z2+4, z20+3){1}425456
(4z2+4, z20+4){1,5}1255 [?]56
{(1,42), (5,25), (25,0)}[ 17/4, 5/4 ](4z+1, z5+4){1}1454564·56
(4z+2, z5+4){1}445456
(4z+3, z5+4){1}445456
(4z+4, z5+4){1}245456
43{(1,43), (5,20), (25,0)}[ 23/4, 1 ](z+1, z20+1){1}24545616·564·57
(2z+1, z20+2){1}445456
(3z+1, z20+3){1}445456
(4z+1, z20+4){1,5}1455 [?]56
(z+2, z20+1){1}245456
(2z+2, z20+2){1}445456
(3z+2, z20+3){1}445456
(4z+2, z20+4){1,5}1455 [?]56
(z+3, z20+1){1}245456
(2z+3, z20+2){1}445456
(3z+3, z20+3){1}445456
(4z+3, z20+4){1,5}1455 [?]56
(z+4, z20+1){1}245456
(2z+4, z20+2){1}445456
(3z+4, z20+3){1}445456
(4z+4, z20+4){1,5}1455 [?]56
{(1,43), (5,25), (25,0)}[ 9/2, 5/4 ](4z2+1, z5+4){1}1454564·56
(4z2+2, z5+4){1}445456
(4z2+3, z5+4){1}445456
(4z2+4, z5+4){1}245456
44{(1,44), (5,20), (25,0)}[ 6, 1 ](z4+1, z20+1){1}21545616·564·57
(2z4+1, z20+2){1}415456
(3z4+1, z20+3){1}415456
(4z4+1, z20+4){5,25}1156 [?]56
(z4+2, z20+1){1}415456
(2z4+2, z20+2){1}415456
(3z4+2, z20+3){5}4155 [.]56
(4z4+2, z20+4){1,5}4155 [?]56
(z4+3, z20+1){1}415456
(2z4+3, z20+2){5}4155 [.]56
(3z4+3, z20+3){1}415456
(4z4+3, z20+4){1,5}4155 [?]56
(z4+4, z20+1){5}2155 [.]56
(2z4+4, z20+2){1}415456
(3z4+4, z20+3){1}415456
(4z4+4, z20+4){1,5}2155 [?]56
{(1,44), (5,25), (25,0)}[ 19/4, 5/4 ](4z+1, z5+4){1}1454564·56
(4z+2, z5+4){1}445456
(4z+3, z5+4){1}445456
(4z+4, z5+4){1}245456
45{(1,45), (5,20), (25,0)}[ 25/4, 1 ](4z+1, z20+4){1,5}1456 [?]574·574·57
(3z+2, z20+3){1}445557
(2z+3, z20+2){1}445557
(z+4, z20+1){1}245557
46{(1,46), (5,25), (25,0)}[ 21/4, 5/4 ](4z+1, z5+4){1}1455574·574·57
(4z+2, z5+4){1}445557
(4z+3, z5+4){1}445557
(4z+4, z5+4){1}245557
47{(1,47), (5,25), (25,0)}[ 11/2, 5/4 ](4z2+1, z5+4){1}1455574·574·57
(4z2+2, z5+4){1}445557
(4z2+3, z5+4){1}445557
(4z2+4, z5+4){1}245557
48{(1,48), (5,25), (25,0)}[ 23/4, 5/4 ](4z+1, z5+4){1}1455574·574·57
(4z+2, z5+4){1}445557
(4z+3, z5+4){1}445557
(4z+4, z5+4){1}245557
49{(1,49), (5,25), (25,0)}[ 6, 5/4 ](4z4+1, z5+4){5}1456574·574·57
(4z4+2, z5+4){1}445557
(4z4+3, z5+4){1}445557
(4z4+4, z5+4){1}245557
50{(1,50), (5,25), (25,0)}[ 25/4, 5/4 ](4z+1, z5+4){1}1456585858