//3p^2+13p+37+gcd(p-1,3)+gcd(p-1,4) algebras
<a,b,c|ca,cb,pa,pb,pc,class=3>6.118
<a,b,c|ca,cb,pa-bab,pb,pc,class=3>6.119
<a,b,c|ca,cb,pa-wbab,pb,pc,class=3>6.120
<a,b,c|ca,cb,pa-baa,pb,pc,class=3>6.121
<a,b,c|ca,cb,pa-baa,pb-xbab,pc,class=3>(x ne 0, x~x^-1)6.122
<a,b,c|ca,cb,pa-baa-bab,pb-bab,pc,class=3>6.123
<a,b,c|ca,cb,pa-baa-wbab,pb-bab,pc,class=3>6.124
<a,b,c|ca,cb,pa-wbab,pb-baa,pc,class=3>6.125
<a,b,c|ca,cb,pa-xbab,pb-baa-bab,pc,class=3>(1+4x not a square mod p)6.126
<a,b,c|ca,cb,pa,pb,pc-bab,class=3>6.127
<a,b,c|ca,cb,pa-baa,pb,pc-bab,class=3>6.128
<a,b,c|ca,cb,pa,pb-baa,pc-bab,class=3>6.129
<a,b,c|ca,cb,pa,pb-wbaa,pc-bab,class=3>6.130
<a,b,c|ca-bab,cb,pa,pb,pc,class=3>6.131
<a,b,c|ca-bab,cb,pa-bab,pb,pc,class=3>6.132
<a,b,c|ca-bab,cb,pa-wbab,pb,pc,class=3>6.133
<a,b,c|ca-bab,cb,pa-baa,pb,pc,class=3>6.134
<a,b,c|ca-bab,cb,pa-xbaa,pb-bab,pc,class=3>(all x)6.135
<a,b,c|ca-bab,cb,pa-baa-bab,pb-bab,pc,class=3>6.136
<a,b,c|ca-bab,cb,pa-baa-wbab,pb-bab,pc,class=3>6.137
<a,b,c|ca-bab,cb,pa-baa-xbab,pb-baa,pc,class=3>(all x)6.138
<a,b,c|ca-bab,cb,pa,pb-baa,pc,class=3>6.139
<a,b,c|ca-bab,cb,pa-bab,pb-baa,pc,class=3>6.140
<a,b,c|ca-bab,cb,pa-wbab,pb-baa,pc,class=3>6.141
<a,b,c|ca-bab,cb,pa-baa-xbab,pb-wbaa,pc,class=3>(all x)6.142
<a,b,c|ca-bab,cb,pa,pb-wbaa,pc,class=3>6.143
<a,b,c|ca-bab,cb,pa-bab,pb-wbaa,pc,class=3>6.144
<a,b,c|ca-bab,cb,pa-wbab,pb-wbaa,pc,class=3>6.145
<a,b,c|ca-bab,cb,pa,pb-xbaa,pc-bab,class=3>(all x)6.146
<a,b,c|ca-bab,cb,pa-baa,pb,pc-bab,class=3>6.147
<a,b,c|ca-bab,cb,pa-xbab,pb,pc-baa,class=3>(x=0,1,w,w^2,w^3)(p=1 mod 4)6.148
<a,b,c|ca-bab,cb,pa-xbab,pb,pc-baa,class=3>(x=0,1,w)(p=3 mod 4)6.148A
<a,b,c|ca-bab,cb,pa-xbab,pb-ybab,pc-baa,class=3>(y=1,w,w^2, all x, x~x' if x^3=x'^3 mod p)(p=1 mod 3)6.149
<a,b,c|ca-bab,cb,pa-xbab,pb-bab,pc-baa,class=3>(all x)(p=2 mod 3)6.149A
<a,b,c|ca-baa,cb,pa,pb,pc,class=3>6.150
<a,b,c|ca-baa,cb,pa-baa,pb,pc,class=3>6.151
<a,b,c|ca-baa,cb,pa-bab,pb,pc,class=3>6.152
<a,b,c|ca-baa,cb,pa-baa-bab,pb,pc,class=3>6.153
<a,b,c|ca-baa,cb,pa-wbab,pb,pc,class=3>6.154
<a,b,c|ca-baa,cb,pa-baa-wbab,pb,pc,class=3>6.155
<a,b,c|ca-baa,cb,pa-bab,pb-baa,pc,class=3>(p=1 mod 4)6.156
<a,b,c|ca-baa,cb,pa-bab,pb-wbaa,pc,class=3>(p=1 mod 4)6.157
<a,b,c|ca-baa,cb,pa-wbab,pb-wbaa,pc,class=3>(p=1 mod 4)6.158
<a,b,c|ca-baa,cb,pa-bab,pb-baa,pc,class=3>(p=3 mod 4)6.156A
<a,b,c|ca-baa,cb,pa-bab,pb-wbaa,pc,class=3>(p=3 mod 4)6.157A
<a,b,c|ca-baa,cb,pa-wbab,pb-baa,pc,class=3>(p=3 mod 4)6.158A
<a,b,c|ca-baa,cb,pa-baa-xbab,pb-baa,pc,class=3>(all x)6.159
<a,b,c|ca-baa,cb,pa-baa-xbab,pb-wbaa,pc,class=3>(all x)6.160
<a,b,c|ca-baa,cb,pa-baa,pb-xbab,pc,class=3>(x ne 0, x~x^-1)6.160
<a,b,c|ca-baa,cb,pa-baa-bab,pb-xbab,pc,class=3>(x ne 0)6.161
<a,b,c|ca-baa,cb,pa-baa-wbab,pb-xbab,pc,class=3>(x ne 0)6.162
<a,b,c|ca-baa,cb,pa-baa-bab,pb-xbaa-ybab,pc,class=3>(x ne 0, y ne 0,1,-1, y~y^-1)6.163
<a,b,c|ca-baa,cb,pa-baa-wbab,pb-xbaa-ybab,pc,class=3>(x ne 0, y ne 0,1,-1, y~y^-1)6.164
<a,b,c|ca-baa,cb,pa-baa-bab,pb-x^2baa+bab,pc,class=3>(x ne 0, x~-x)6.165
<a,b,c|ca-baa,cb,pa-baa-bab,pb-x^2baa-bab,pc,class=3>(x ne 0, x~-x)6.165
<a,b,c|ca-baa,cb,pa-baa-bab,pb-(x^2*w)baa+bab,pc,class=3>(x ne 0, x~-x)6.166
<a,b,c|ca-baa,cb,pa-baa-bab,pb-(x^2*w)baa-bab,pc,class=3>(x ne 0, x~-x)6.166
<a,b,c|ca-baa,cb,pa-baa-wbab,pb-(x^2*w)baa+bab,pc,class=3>(x ne 0, x~-x)(p=1 mod 4)6.167
<a,b,c|ca-baa,cb,pa-baa-wbab,pb-(x^2*w)baa-bab,pc,class=3>(x ne 0, x~-x)(p=1 mod 4)6.167
<a,b,c|ca-baa,cb,pa-baa-wbab,pb-x^2baa+bab,pc,class=3>(x ne 0, x~-x)(p=3 mod 4)6.167A
<a,b,c|ca-baa,cb,pa-baa-wbab,pb-x^2baa-bab,pc,class=3>(x ne 0, x~-x)(p=3 mod 4)6.167A
<a,b,c|ca-baa,cb,pa,pb,pc-baa,class=3>6.168
<a,b,c|ca-baa,cb,pa-bab,pb,pc-baa,class=3>6.169
<a,b,c|ca-baa,cb,pa-wbab,pb,pc-baa,class=3>6.170
<a,b,c|ca-baa,cb,pa-xbab,pb-bab,pc-baa,class=3>(all x)6.171
<a,b,c|ca-baa,cb,pa-xbab,pb-ybab,pc-baa-bab,class=3>(all x,y, [x,y]~[y,x])6.172
<a,b,c|ca-bab,cb-wbaa,pa,pb,pc,class=3>6.173
<a,b,c|ca-bab,cb-wbaa,pa-xbaa-bab,pb,pc,class=3>(all x, x~-x)6.174
<a,b,c|ca-bab,cb-wbaa,pa-xbaa-wbab,pb,pc,class=3>(all x, x~-x)6.175
<a,b,c|ca-bab,cb-wbaa,pa-baa,pb,pc,class=3>6.176
<a,b,c|ca-bab,cb-wbaa,pa-wbaa,pb,pc,class=3>(p=1 mod 4)6.177
<a,b,c|ca-bab,cb-wbaa,pa-tbaa-xbab,pb-ybaa-zbab,pc,class=3>(See note6.178)6.178
<a,b,c|ca-bab,cb-wbaa,pa-xbaa,pb-ybaa,pc-bab,class=3>(all x,y, x~-x)6.179
