//5p+1+gcd(p-1,4) algebras
<a,b|babba,pa-baa-xbabbb,pb-babbb,class=5>(all x)
<a,b|babba,pa-baa-xbabbb,pb-wbabbb,class=5>(all x)
<a,b|babba,pa-baa,pb,class=5>
<a,b|babba,pa-baa-babbb,pb,class=5>
<a,b|babba,pa-baa-wbabbb,pb,class=5>
<a,b|babba,pa-baa-w^2babbb,pb,class=5>(p=1 mod 4)
<a,b|babba,pa-baa-w^3babbb,pb,class=5>(p=1 mod 4)
<a,b|babbb,pa-baa,pb-xbabba,class=5>(all x)
<a,b|babbb-babba,pa-baa,pb-xbabba,class=5>(all x)
<a,b|babbb-wbabba,pa-baa,pb-xbabba,class=5>(all x)
