16階可分解環

原創 华仔Ivan 2020-05-11 05:24

IRing* newR4(int i)
{
    if(i==1)
    {
        ZmodnZ* r=new ZmodnZ(4,16);
        return r;
    }
    if(i==2)
    {
        ZmodnZ* r=new ZmodnZ(2,8);
        return r;
    }    
    if(i==3)
    {
        ZmodnZ* r=new ZmodnZ(1,4);
        return r;
    }
    if(i==4)
    {
        M2r* r=new M2r();
        r->initD(2);
        return r;
    }    
    if(i==5)
    {
        Mnr* r=new Mnr();
        r->initE(2);
        return r;
    }    
    if(i==6)
    {
        Mnr* r=new Mnr();
        r->initF(2);
        return r;
    }    
    if(i==7)
    {
        M2r* r=new M2r();
        r->initG(2);
        return r;
    }
    if(i==8)
    {
        M2r* r=new M2r();
        r->initH(2);
        return r;
    }
    if(i==9)
    {
        M2r* r=new M2r();
        r->initI(2);
        return r;
    }
    if(i==10)
    {
        M2r* r=new M2r();
        r->initJ(2);
        return r;
    }
    if(i==11)
    {
        M2r* r=new M2r();
        r->initK(2);
        return r;
    }    
    return NULL;
}

IRing* newR4R4(int ij)
{
    int i=(ij-1)%11+1;
    int j=(ij-1)/11+1;
    if(i>j)
        return NULL;
    IRing* ri=newR4(i);
    IRing* rj=newR4(j);
    DecompositionRing* r= new DecompositionRing(ri,rj);
    r->m_flag=1;
    return r;
}

int main()
{ 
   for(int i=1;i<=121;i++)
   {
       IRing* r=newR4R4(i);
       if(r){
           printf("R4R4_%d=",i);
           r->printTable();
           if(i==84 && i==85){
               string I1=calcI1(r);
               string I2=calcI2(r);   
               printf("I1I2=%s,%s\n",I1.c_str(),I2.c_str());
           }
           delete r;
           r=NULL;    
       }       
   }
   return 0;
}

D:\MathTool\gaptool>IRing
R4R4_1=R16_107:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,3,12,0,0],4,1,0,16,1,15,15,256,15,16,[1,3,12,0,0],[]
R4R4_12=R16_116:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,3,12,0,0],4,1,0,16,1,7,15,192,15,16,[1,3,8,4,0],[[4,4,64]]
R4R4_13=R16_103:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,3,12,0,0],4,1,0,16,1,3,15,144,15,16,[1,3,12,0,0],[[4,4,112]]
R4R4_23=R16_112:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,3,12,0,0],4,1,0,16,2,7,7,128,15,16,[1,3,6,2,4],[[2,4,16],[4,2,16],[4,4,96]]
R4R4_24=R16_113:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,3,12,0,0],4,1,0,16,2,3,7,96,15,16,[1,3,6,2,4],[[2,4,16],[4,2,16],[4,4,128]]
R4R4_25=R16_104:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,3,12,0,0],4,1,1,12,4,3,3,64,11,16,[1,3,6,6,0],[[2,4,28],[4,2,28],[4,4,136]]
R4R4_34=R16_206:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,1,15,15,256,15,16,[1,7,8,0,0],[]
R4R4_35=R16_212:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,1,7,15,192,15,16,[1,7,8,0,0],[[4,4,64]]
R4R4_36=R16_219:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,2,7,7,128,15,16,[1,7,2,6,0],[[2,4,32],[4,2,32],[4,4,64]]
R4R4_37=R16_301:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,1,15,15,256,15,16,[1,15,0,0,0],[]
R4R4_45=R16_207:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,1,7,15,192,15,16,[1,3,8,4,0],[[2,2,16],[2,4,16],[4,2,16],[4,4,16]]
R4R4_46=R16_213:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,1,3,15,144,15,16,[1,3,8,4,0],[[2,2,16],[2,4,16],[4,2,16],[4,4,64]]
R4R4_47=R16_220:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,2,3,7,96,15,16,[1,3,6,2,4],[[2,2,16],[2,4,40],[4,2,40],[4,4,64]]
R4R4_48=R16_303:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,1,7,15,192,15,16,[1,7,8,0,0],[[2,2,64]]
R4R4_49=R16_304:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,1,3,15,144,15,16,[1,3,12,0,0],[[2,2,112]]
R4R4_56=R16_208:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,2,7,7,192,15,16,[1,4,7,4,0],[[2,2,16],[2,4,16],[4,2,16],[4,4,16]]
R4R4_57=R16_214:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,2,3,7,144,15,16,[1,4,7,4,0],[[2,2,16],[2,4,16],[4,2,16],[4,4,64]]
R4R4_58=R16_221:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,4,3,3,96,15,16,[1,4,7,4,0],[[2,2,16],[2,4,40],[4,2,40],[4,4,64]]
R4R4_59=R16_305:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,2,7,7,192,15,16,[1,8,7,0,0],[[2,2,64]]
R4R4_60=R16_306:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,2,3,7,144,15,16,[1,4,7,4,0],[[2,2,112]]
R4R4_61=R16_307:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,4,3,3,144,15,16,[1,6,9,0,0],[[2,2,112]]
R4R4_67=R16_209:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,0,0,16,3,7,7,160,15,4,[1,5,6,4,0],[[2,2,24],[2,4,24],[4,2,24],[4,4,24]]
R4R4_68=R16_215:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,0,0,16,3,3,7,120,15,4,[1,5,6,4,0],[[2,2,24],[2,4,24],[4,2,24],[4,4,64]]
R4R4_69=R16_222:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,0,0,16,6,3,3,80,11,4,[1,5,8,2,0],[[2,2,24],[2,4,44],[4,2,44],[4,4,64]]
R4R4_70=R16_308:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,3,7,7,160,15,4,[1,9,6,0,0],[[2,2,96]]
R4R4_71=R16_309:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,3,3,7,120,15,4,[1,5,6,4,0],[[2,2,136]]
R4R4_72=R16_310:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,6,3,3,120,15,4,[1,8,7,0,0],[[2,2,136]]
R4R4_73=R16_311:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,9,3,3,100,11,1,[1,11,4,0,0],[[2,2,156]]
R4R4_78=R16_209:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,0,0,16,3,7,7,160,15,4,[1,5,6,4,0],[[2,2,24],[2,4,24],[4,2,24],[4,4,24]]
R4R4_79=R16_215:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,0,0,16,3,3,7,120,15,4,[1,5,6,4,0],[[2,2,24],[2,4,24],[4,2,24],[4,4,64]]
R4R4_80=R16_223:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,0,0,16,6,3,3,80,15,4,[1,5,8,2,0],[[2,2,24],[2,4,44],[4,2,44],[4,4,64]]
R4R4_81=R16_308:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,3,7,7,160,15,4,[1,9,6,0,0],[[2,2,96]]
R4R4_82=R16_309:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,3,3,7,120,15,4,[1,5,6,4,0],[[2,2,136]]
R4R4_83=R16_310:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,6,3,3,120,15,4,[1,8,7,0,0],[[2,2,136]]
R4R4_84=R16_312:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,9,3,3,100,15,1,[1,11,4,0,0],[[2,2,156]]
R4R4_85=R16_313:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,9,3,3,100,15,1,[1,11,4,0,0],[[2,2,156]]
R4R4_89=R16_210:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,2,7,7,128,15,16,[1,4,6,3,2],[[2,2,32],[2,4,32],[4,2,32],[4,4,32]]
R4R4_90=R16_216:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,2,3,7,96,15,16,[1,4,6,3,2],[[2,2,32],[2,4,32],[4,2,32],[4,4,64]]
R4R4_91=R16_225:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,1,12,4,3,3,64,11,16,[1,4,6,5,0],[[2,2,32],[2,4,48],[4,2,48],[4,4,64]]
R4R4_92=R16_314:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,2,7,7,128,15,16,[1,8,4,3,0],[[2,2,128]]
R4R4_93=R16_315:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,2,3,7,96,15,16,[1,4,6,3,2],[[2,2,160]]
R4R4_94=R16_316:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,4,3,3,96,15,16,[1,6,7,2,0],[[2,2,160]]
R4R4_95=R16_317:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,6,3,3,80,11,4,[1,8,6,1,0],[[2,2,176]]
R4R4_96=R16_318:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,6,3,3,80,15,4,[1,8,6,1,0],[[2,2,176]]
R4R4_97=R16_384:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,1,12,4,3,3,64,11,16,[1,6,7,2,0],[[2,2,192]]
R4R4_100=R16_224:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,4,3,3,144,15,16,[1,4,5,6,0],[[2,2,28],[2,4,28],[4,2,28],[4,4,28]]
R4R4_101=R16_217:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,4,1,3,108,15,16,[1,4,5,6,0],[[2,2,28],[2,4,28],[4,2,28],[4,4,64]]
R4R4_102=R16_226:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,1,14,8,1,1,72,13,16,[1,4,11,0,0],[[2,2,28],[2,4,46],[4,2,46],[4,4,64]]
R4R4_103=R16_307:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,4,3,3,144,15,16,[1,6,9,0,0],[[2,2,112]]
R4R4_104=R16_319:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,4,1,3,108,15,16,[1,4,5,6,0],[[2,2,148]]
R4R4_105=R16_320:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,8,1,1,108,15,16,[1,8,7,0,0],[[2,2,148]]
R4R4_106=R16_321:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,12,1,1,90,13,4,[1,12,3,0,0],[[2,2,166]]
R4R4_107=R16_322:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,12,1,1,90,15,4,[1,12,3,0,0],[[2,2,166]]
R4R4_108=R16_323:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,1,14,8,1,1,72,13,16,[1,8,7,0,0],[[2,2,184]]
R4R4_109=R16_386:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,1,15,16,0,0,81,14,16,[1,15,0,0,0],[[2,2,175]]
R4R4_111=R16_211:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,2,3,3,112,15,16,[1,2,5,4,4],[[2,2,36],[2,4,36],[4,2,36],[4,4,36]]
R4R4_112=R16_218:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,0,16,2,1,3,84,15,16,[1,2,5,4,4],[[2,2,36],[2,4,36],[4,2,36],[4,4,64]]
R4R4_113=R16_227:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,7,8,0,0],4,1,1,10,4,1,1,56,9,16,[1,2,7,2,4],[[2,2,36],[2,4,50],[4,2,50],[4,4,64]]
R4R4_114=R16_324:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,2,3,3,112,15,16,[1,4,5,6,0],[[2,2,144]]
R4R4_115=R16_325:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,2,1,3,84,15,16,[1,2,5,4,4],[[2,2,172]]
R4R4_116=R16_326:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,0,16,4,1,1,84,15,16,[1,4,5,4,2],[[2,2,172]]
R4R4_117=R16_327:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,6,1,1,70,9,4,[1,6,3,6,0],[[2,2,186]]
R4R4_118=R16_328:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,0,0,16,6,1,1,70,15,4,[1,6,3,6,0],[[2,2,186]]
R4R4_119=R16_302:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,1,10,4,1,1,56,9,16,[1,4,5,4,2],[[2,2,200]]
R4R4_120=R16_387:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,1,13,8,0,0,63,12,16,[1,7,2,6,0],[[2,2,193]]
R4R4_121=R16_389:N0n0bAbOn1n2n4n5n6n7n8S1N2=[1,15,0,0,0],2,1,1,7,4,0,0,49,6,16,[1,3,8,4,0],[[2,2,207]]
gap> for j in [1..2] do for i in [1..52] do R:=DirectSum(SmallRing(8,i),SmallRing(2,j));;ni:=(j-1)*52+i;Print("R8R2","_",ni,":");calR(R);od;od;
R8R2_1:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 4, 8, 0 ],8,1,0,16,1,15,15,256,15,16
R8R2_2:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 4, 8, 0 ],8,1,0,16,1,7,7,128,15,16
R8R2_3:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 4, 8, 0 ],8,1,0,16,2,3,7,80,15,16
R8R2_4:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 4, 8, 0 ],8,1,0,16,1,7,15,192,15,16
R8R2_5:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,15,15,256,15,16
R8R2_6:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R8R2_7:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,192,15,16
R8R2_8:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,1,11,15,192,15,4
R8R2_9:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,1,11,15,192,15,4
R8R2_10:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,1,11,15,192,15,4
R8R2_11:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,15,15,160,15,16
R8R2_12:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,160,15,16
R8R2_13:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R8R2_14:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,96,15,16
R8R2_15:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,7,7,112,15,4
R8R2_16:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R8R2_17:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,144,15,16
R8R2_18:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,1,3,15,160,15,4
R8R2_19:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,160,15,16
R8R2_20:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,7,7,112,15,4
R8R2_21:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,96,15,16
R8R2_22:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,80,15,16
R8R2_23:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R8R2_24:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,7,128,15,16
R8R2_25:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,15,15,256,15,16
R8R2_26:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,7,15,192,15,16
R8R2_27:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,192,15,16
R8R2_28:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,1,11,15,192,15,4
R8R2_29:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,160,15,4
R8R2_30:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,5,7,7,144,15,2
R8R2_31:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,15,15,160,15,16
R8R2_32:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,7,15,160,15,16
R8R2_33:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,7,7,128,15,16
R8R2_34:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,160,15,4
R8R2_35:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,128,15,16
R8R2_36:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,5,7,7,128,15,2
R8R2_37:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,112,15,4
R8R2_38:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,144,15,16
R8R2_39:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,1,3,15,160,15,4
R8R2_40:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,144,15,16
R8R2_41:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R8R2_42:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,3,112,15,16
R8R2_43:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,5,7,7,144,15,2
R8R2_44:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,112,15,4
R8R2_45:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,96,15,16
R8R2_46:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,80,15,16
R8R2_47:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R8R2_48:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,96,15,16
R8R2_49:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,104,15,4
R8R2_50:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,8,1,1,108,15,16
R8R2_51:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,1,84,15,16
R8R2_52:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,1,1,60,15,16
R8R2_53:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 4, 8, 0 ],8,1,0,16,2,7,7,192,15,16
R8R2_54:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 4, 8, 0 ],8,1,0,16,2,3,3,96,15,16
R8R2_55:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 4, 8, 0 ],8,1,1,12,4,1,3,60,11,16
R8R2_56:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 4, 8, 0 ],8,1,0,16,2,3,7,144,15,16
R8R2_57:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,192,15,16
R8R2_58:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,144,15,16
R8R2_59:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,144,15,16
R8R2_60:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,2,5,7,144,15,4
R8R2_61:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,2,5,7,144,15,4
R8R2_62:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,2,5,7,144,15,4
R8R2_63:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,120,15,16
R8R2_64:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,120,15,16
R8R2_65:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,96,15,16
R8R2_66:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,14,8,1,1,72,13,16
R8R2_67:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,6,3,3,84,15,4
R8R2_68:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,144,15,16
R8R2_69:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,1,3,108,15,16
R8R2_70:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,2,1,7,120,15,4
R8R2_71:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,120,15,16
R8R2_72:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,6,3,3,84,11,4
R8R2_73:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,12,4,3,3,72,11,16
R8R2_74:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,12,4,1,3,60,11,16
R8R2_75:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,144,15,16
R8R2_76:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,3,96,15,16
R8R2_77:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,192,15,16
R8R2_78:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,144,15,16
R8R2_79:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,144,15,16
R8R2_80:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,2,5,7,144,15,4
R8R2_81:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R8R2_82:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,10,3,3,108,11,2
R8R2_83:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,120,15,16
R8R2_84:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,120,15,16
R8R2_85:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,3,96,15,16
R8R2_86:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R8R2_87:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,96,15,16
R8R2_88:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,10,3,3,96,15,2
R8R2_89:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,84,11,4
R8R2_90:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,3,108,15,16
R8R2_91:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,2,1,7,120,15,4
R8R2_92:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,8,1,1,108,15,16
R8R2_93:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,12,1,1,90,13,4
R8R2_94:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,1,84,15,16
R8R2_95:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,10,3,3,108,15,2
R8R2_96:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,84,15,4
R8R2_97:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,12,4,3,3,72,11,16
R8R2_98:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,12,4,1,3,60,11,16
R8R2_99:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,12,1,1,90,15,4
R8R2_100:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,14,8,1,1,72,13,16
R8R2_101:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,1,14,12,1,1,78,13,4
R8R2_102:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,15,16,0,0,81,14,16
R8R2_103:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,13,8,0,0,63,12,16
R8R2_104:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,9,4,0,0,45,8,16
gap> for j in [1..11] do for i in [1..11] do R:=DirectSum(SmallRing(4,i),SmallRing(4,j));;ni:=(j-1)*11+i;Print("R4R4","_",ni,":");calR(R);od;od;
R4R4_1:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,1,15,15,256,15,16
R4R4_2:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_3:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_4:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,15,15,256,15,16
R4R4_5:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_6:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,192,15,16
R4R4_7:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,7,7,160,15,4
R4R4_8:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,7,7,160,15,4
R4R4_9:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_10:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,144,15,16
R4R4_11:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,3,112,15,16
R4R4_12:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_13:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,1,3,15,144,15,16
R4R4_14:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_15:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_16:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,3,15,144,15,16
R4R4_17:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,144,15,16
R4R4_18:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,3,7,120,15,4
R4R4_19:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,3,7,120,15,4
R4R4_20:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_21:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,1,3,108,15,16
R4R4_22:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,1,3,84,15,16
R4R4_23:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_24:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_25:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,1,12,4,3,3,64,11,16
R4R4_26:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_27:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_28:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,96,15,16
R4R4_29:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,6,3,3,80,11,4
R4R4_30:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,6,3,3,80,15,4
R4R4_31:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,12,4,3,3,64,11,16
R4R4_32:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,14,8,1,1,72,13,16
R4R4_33:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,10,4,1,1,56,9,16
R4R4_34:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,15,15,256,15,16
R4R4_35:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_36:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_37:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,15,15,256,15,16
R4R4_38:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,7,15,192,15,16
R4R4_39:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,192,15,16
R4R4_40:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,160,15,4
R4R4_41:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,160,15,4
R4R4_42:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,128,15,16
R4R4_43:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,144,15,16
R4R4_44:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,3,112,15,16
R4R4_45:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_46:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,3,15,144,15,16
R4R4_47:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_48:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,7,15,192,15,16
R4R4_49:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,3,15,144,15,16
R4R4_50:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,144,15,16
R4R4_51:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,3,7,120,15,4
R4R4_52:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,3,7,120,15,4
R4R4_53:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,96,15,16
R4R4_54:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,3,108,15,16
R4R4_55:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,1,3,84,15,16
R4R4_56:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,192,15,16
R4R4_57:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,144,15,16
R4R4_58:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,96,15,16
R4R4_59:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,192,15,16
R4R4_60:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,144,15,16
R4R4_61:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,144,15,16
R4R4_62:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R4R4_63:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R4R4_64:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,96,15,16
R4R4_65:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,8,1,1,108,15,16
R4R4_66:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,1,84,15,16
R4R4_67:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,7,7,160,15,4
R4R4_68:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,3,7,120,15,4
R4R4_69:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,6,3,3,80,11,4
R4R4_70:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,160,15,4
R4R4_71:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,3,7,120,15,4
R4R4_72:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R4R4_73:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,9,3,3,100,11,1
R4R4_74:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,9,3,3,100,15,1
R4R4_75:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,80,11,4
R4R4_76:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,12,1,1,90,13,4
R4R4_77:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,1,1,70,9,4
R4R4_78:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,7,7,160,15,4
R4R4_79:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,3,7,120,15,4
R4R4_80:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,6,3,3,80,15,4
R4R4_81:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,160,15,4
R4R4_82:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,3,7,120,15,4
R4R4_83:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R4R4_84:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,9,3,3,100,15,1
R4R4_85:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,9,3,3,100,15,1
R4R4_86:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,80,15,4
R4R4_87:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,12,1,1,90,15,4
R4R4_88:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,1,1,70,15,4
R4R4_89:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_90:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_91:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,12,4,3,3,64,11,16
R4R4_92:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,128,15,16
R4R4_93:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,96,15,16
R4R4_94:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,96,15,16
R4R4_95:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,80,11,4
R4R4_96:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,80,15,4
R4R4_97:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,12,4,3,3,64,11,16
R4R4_98:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,14,8,1,1,72,13,16
R4R4_99:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,10,4,1,1,56,9,16
R4R4_100:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,144,15,16
R4R4_101:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,1,3,108,15,16
R4R4_102:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,14,8,1,1,72,13,16
R4R4_103:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,144,15,16
R4R4_104:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,3,108,15,16
R4R4_105:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,8,1,1,108,15,16
R4R4_106:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,12,1,1,90,13,4
R4R4_107:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,12,1,1,90,15,4
R4R4_108:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,14,8,1,1,72,13,16
R4R4_109:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,15,16,0,0,81,14,16
R4R4_110:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,13,8,0,0,63,12,16
R4R4_111:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,3,112,15,16
R4R4_112:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,1,3,84,15,16
R4R4_113:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,10,4,1,1,56,9,16
R4R4_114:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,3,112,15,16
R4R4_115:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,1,3,84,15,16
R4R4_116:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,1,84,15,16
R4R4_117:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,1,1,70,9,4
R4R4_118:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,1,1,70,15,4
R4R4_119:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,10,4,1,1,56,9,16
R4R4_120:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,13,8,0,0,63,12,16
R4R4_121:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,7,4,0,0,49,6,16
gap> cnt:=0;;for j in [1..11] do for i in [1..11] do if i<=j then cnt:=cnt+1;R:=DirectSum(SmallRing(4,i),SmallRing(4,j));;ni:=(j-1)*11+i;Print("R4R4","_",ni,":");calR(R);fi;od;od;Print("cnt=",cnt);
R4R4_1:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,1,15,15,256,15,16
R4R4_12:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_13:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,1,3,15,144,15,16
R4R4_23:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_24:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_25:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 3, 12, 0, 0 ],4,1,1,12,4,3,3,64,11,16
R4R4_34:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,15,15,256,15,16
R4R4_35:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_36:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_37:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,15,15,256,15,16
R4R4_45:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,7,15,192,15,16
R4R4_46:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,1,3,15,144,15,16
R4R4_47:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_48:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,7,15,192,15,16
R4R4_49:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,1,3,15,144,15,16
R4R4_56:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,192,15,16
R4R4_57:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,144,15,16
R4R4_58:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,96,15,16
R4R4_59:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,192,15,16
R4R4_60:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,144,15,16
R4R4_61:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,144,15,16
R4R4_67:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,7,7,160,15,4
R4R4_68:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,3,7,120,15,4
R4R4_69:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,6,3,3,80,11,4
R4R4_70:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,160,15,4
R4R4_71:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,3,7,120,15,4
R4R4_72:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R4R4_73:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,9,3,3,100,11,1
R4R4_78:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,7,7,160,15,4
R4R4_79:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,3,3,7,120,15,4
R4R4_80:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,0,0,16,6,3,3,80,15,4
R4R4_81:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,7,7,160,15,4
R4R4_82:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,3,3,7,120,15,4
R4R4_83:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,120,15,4
R4R4_84:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,9,3,3,100,15,1
R4R4_85:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,9,3,3,100,15,1
R4R4_89:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,7,7,128,15,16
R4R4_90:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,7,96,15,16
R4R4_91:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,12,4,3,3,64,11,16
R4R4_92:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,7,7,128,15,16
R4R4_93:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,7,96,15,16
R4R4_94:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,96,15,16
R4R4_95:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,80,11,4
R4R4_96:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,3,3,80,15,4
R4R4_97:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,12,4,3,3,64,11,16
R4R4_100:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,3,3,144,15,16
R4R4_101:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,4,1,3,108,15,16
R4R4_102:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,14,8,1,1,72,13,16
R4R4_103:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,3,3,144,15,16
R4R4_104:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,3,108,15,16
R4R4_105:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,8,1,1,108,15,16
R4R4_106:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,12,1,1,90,13,4
R4R4_107:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,12,1,1,90,15,4
R4R4_108:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,14,8,1,1,72,13,16
R4R4_109:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,15,16,0,0,81,14,16
R4R4_111:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,3,3,112,15,16
R4R4_112:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,0,16,2,1,3,84,15,16
R4R4_113:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 7, 8, 0, 0 ],4,1,1,10,4,1,1,56,9,16
R4R4_114:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,3,3,112,15,16
R4R4_115:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,2,1,3,84,15,16
R4R4_116:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,0,16,4,1,1,84,15,16
R4R4_117:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,1,1,70,9,4
R4R4_118:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,0,0,16,6,1,1,70,15,4
R4R4_119:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,10,4,1,1,56,9,16
R4R4_120:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,13,8,0,0,63,12,16
R4R4_121:N0n0bAbOn1n2n4n5n6n7n8=[ 1, 15, 0, 0, 0 ],2,1,1,7,4,0,0,49,6,16
cnt=66

發表評論
所有評論
還沒有人評論，想成為第一個評論的人麼? 請在上方評論欄輸入並且點擊發布.
相關文章

數學建模筆記——圖與網絡

以《數學建模算法與應用》一書作爲學習大綱，但內容不侷限於書中。 最短路問題 參考博文 https://blog.csdn.net/qq_40298902/article/details/100421919 最小生成樹問題 方法一：

itheta 2020-07-06 19:49:11

129種16階可分解環

16階環已佔用的編號空間：1~33、70~280、284~390。 N0n0bAbOn1n2n4n5n6n7n8S1N2相同而I1I2不同的16階環： R16_166!=R16_156 R16_232!=R16_152 R16_280!=

华仔Ivan 2020-06-30 04:56:21

W系列、E系列、DDD系列的有限羣序列

定義W系列的有限羣序列Wmn(m,n)： n*m*m階羣Wmn(m,n), Wmn(2,n)=Dih(4n) W_32=Wmn(4,2)=GAP[32,13] W_48=Wmn(4,3)=GAP[48,11] gap> Wmn:=func

华仔Ivan 2020-06-30 04:56:21

G16、G24、G32、G36、G60

請輸入置換次數N：51 請輸入置換m：1,3,16,21,36,45,51,2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,3

华仔Ivan 2020-06-30 04:56:21

16階以下子環搜索（四）：根據搜索結果自動生成代碼

D:\MathTool\gaptool>mr 3 1 2 2 17 0 cnt=512 2->[[0,0,0],[0,0,0],[0,1,0]] 17->[[0,0,0],[0,1,0],[0,0,1]] 0->[[0,0,0],[0,0

华仔Ivan 2020-06-30 04:56:11

可分解環的表示

D:\MathTool\gaptool>FiniteRing R4_1×R4_1=R16_107 R4_1×R4_2=R16_116 R4_1×R4_3=R16_112 R4_1×R4_4=R16_206 R4_1×R4_5=R16_20

华仔Ivan 2020-06-30 04:56:11

G48、G72

D:\MathTool\gaptool>Gnm 48 52 GAP[48,2]: N0C1Nk=1,1,2,2,2,4,4,8,8,16,[[0,46],[1,2]],[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6

华仔Ivan 2020-06-30 04:56:11

《概率統計與隨機過程》——筆記3

第三章 二維隨機變量 3.1 聯合分佈 定義1 設試驗E的樣本空間爲S={e}，而X=X(e),Y=Y(e)是定義在S上的兩個隨機變量。稱由這兩個隨機變量組成的向量(X,Y)爲二維隨機變量或二維隨機向量。 定義 2 設(X,Y)

水木-刘 2020-06-24 09:47:37

《線性代數》——讀書筆記2

第二章 矩陣 寫在前面的話，當初去北大面試的時候，那老師問了我好些矩陣的知識，我也真是醉醉的，他和我說知道就說，不知道也沒關係，我就想問沒關係那你還問個什麼=-=，現在趕緊好好複習下，省的以後再被問到=_= 話說矩陣這邊的東西怎

水木-刘 2020-06-24 09:47:34

重溫矩陣（IV） 矩陣與函數

  光學中的光譜分析與數學中的變換有着千絲萬縷的關聯   上一次我們談到了，對稱矩陣與正定矩陣，這一次，我們談一談矩陣如何與函數這個概念發生聯繫。通過這個並不嚴謹的描述來建立代數與分析之間的關係。 說到這裏，要談到林達華前輩的博客給我的啓

RONGE-KUTA 2020-06-22 03:22:56

重溫矩陣（III） 特殊的矩陣

讓我們重新認識矩陣（III） 對稱矩陣、正定矩陣以及旋轉矩陣 矩陣，多麼神奇的名詞。當我們嘗試從不同角度去理解它時，實質上通過分析它的過程，我們貫穿了數學的兩大分支：代數與幾何；特別是當我們試圖用我們對歐氏集合的直覺與思路去理解線性代數

RONGE-KUTA 2020-06-22 03:22:56

向量與行列式筆記

1-向量和行列式簡介一，向量1,向量的表示2,維度和分量3,零向量和單位向量二，向量的運算1,加減法①加法②減法2,數乘3,點積4,叉積三，行列式1,組成2,性質3，意義4，計算四，代數餘子式1，代數餘子式公式：五，結束語：以上內

吃饭第一名 2020-06-19 22:34:56

一道幾何題的暴力證明

昨天在哆嗒數學的微信羣裏,網友裴傳傑發了一道幾何題: 對任意四邊形的每條邊上均向外做一個正方形,則可以4個對稱中心, 求證這4個對稱中心所組成的新四邊形的兩條對角線垂直且相等(但不一定互相平分). 今天閒來無事,用解析幾何的座標法再結合m

laomai 2020-06-17 06:48:07

16階以下子環的搜索

256階環M2(Z/4Z)的16階以下子環：【1~2個生成元的只有26種,3個生成元的只有R16_199、R8_25這2種】 cnt1=1:R4_3->i=0,j=1 cnt1=2:R2_1->i=0,j=2 cnt1=3:R4_1->i

华仔Ivan 2020-06-13 13:08:17

16階以下子環搜索（二）：從指定起始位置g_i開始搜索

D:\MathTool\gaptool>M2Z8ij 1 g_i=1 cnt1=1:R8_3->i=1,j=2 cnt1=2:R16_20->i=1,j=32 cnt1=3:R16_23->i=1,j=256 cnt1=4:R16_11-

华仔Ivan 2020-06-13 13:08:17