20220627

FOR /L %x IN (5,1,59) DO subrings R27%x.txt 3 
FOR /L %x IN (5,1,59) DO subrings R27%x.txt 9

C:\MathTool\gaptool>subrings R275.txt 3

C:\MathTool\gaptool>subrings R276.txt 3
C:\MathTool\gaptool>subrings R276.txt 9
[0,1]=>[0,1,3,5,8,11,12,16,20]=R9_1是理想,商环R3_1
[0,2]=>[0,2,5,6,10,11,15,19,23]=R9_5是理想,商环R3_1
[0,4]=>[0,4,5,11,13,14,21,22,26]=R9_3是理想,商环R3_1
[0,7]=>[0,5,7,9,11,17,18,24,25]=R9_3是理想,商环R3_1

C:\MathTool\gaptool>subrings R277.txt 3

C:\MathTool\gaptool>subrings R278.txt 3
[0,2]=>[0,2,6]=R3_1不是理想
[0,5]=>[0,5,10]=R3_1是理想,商环R9_4
[0,11]=>[0,11,23]=R3_1不是理想
[0,15]=>[0,15,19]=R3_1不是理想
C:\MathTool\gaptool>subrings R278.txt 9
[0,1]=>[0,1,3,5,8,10,12,16,20]=R9_1是理想,商环R3_1
[0,4]=>[0,4,5,10,13,14,21,22,26]=R9_3是理想,商环R3_1
[0,7]=>[0,5,7,9,10,17,18,24,25]=R9_3是理想,商环R3_1
[2,5]=>[0,2,5,6,10,11,15,19,23]=R9_4是理想,商环R3_1

C:\MathTool\gaptool>subrings R279.txt 3

C:\MathTool\gaptool>subrings R2710.txt 3
[0,1]=>[0,1,3]=R3_1不是理想

C:\MathTool\gaptool>subrings R2711.txt 3
[0,1]=>[0,1,3]=R3_1不是理想
C:\MathTool\gaptool>subrings R2711.txt 9
[0,2]=>[0,2,4,6,7,12,13,18,20]=R9_3是理想,商环R3_1
[0,5]=>[0,4,5,6,16,17,19,25,26]=R9_3是理想,商环R3_1
[0,9]=>[0,4,6,9,11,21,22,23,24]=R9_1是理想,商环R3_1
[1,4]=>[0,1,3,4,6,8,10,14,15]=R9_4是理想,商环R3_1

C:\MathTool\gaptool>subrings R2712.txt 3

C:\MathTool\gaptool>subrings R2713.txt 3

C:\MathTool\gaptool>subrings R2714.txt 3

C:\MathTool\gaptool>subrings R2715.txt 3
C:\MathTool\gaptool>subrings R2715.txt 9
[0,1]=>[0,1,3,6,9,12,15,16,19]=R9_2不是理想
[0,4]=>[0,4,6,11,13,15,21,23,25]=R9_2不是理想
[0,7]=>[0,6,7,8,15,17,18,22,26]=R9_2不是理想

C:\MathTool\gaptool>subrings R2716.txt 3
[0,2]=>[0,2,6]=R3_1是理想,商环R9_3
[0,3]=>[0,3,8]=R3_1是理想,商环R9_4
[0,11]=>[0,11,22]=R3_1是理想,商环R9_3
[0,14]=>[0,14,19]=R3_1是理想,商环R9_3

C:\MathTool\gaptool>subrings R2717.txt 3
[0,4]=>[0,4,8]=R3_2是理想,商环R9_3
[0,7]=>[0,7,15]=R3_1是理想,商环R9_6
C:\MathTool\gaptool>subrings R2717.txt 9
[0,2]=>[0,2,4,6,7,8,12,15,16]=R9_6是理想,商环R3_1
[0,9]=>[0,7,9,13,14,15,20,22,24]=R9_3是理想,商环R3_2

C:\MathTool\gaptool>subrings R2718.txt 3
[0,2]=>[0,2,7]=R3_1不是理想
C:\MathTool\gaptool>subrings R2718.txt 9
[0,1]=>[0,1,3,4,6,8,10,14,15]=R9_1是理想,商环R3_1
[0,5]=>[0,4,5,6,16,17,19,25,26]=R9_1是理想,商环R3_1
[0,9]=>[0,4,6,9,11,21,22,23,24]=R9_1是理想,商环R3_1
[2,4]=>[0,2,4,6,7,12,13,18,20]=R9_4是理想,商环R3_1

C:\MathTool\gaptool>subrings R2719.txt 3
[0,3]=>[0,3,5]=R3_1是理想,商环R9_4
[0,10]=>[0,10,22]=R3_1不是理想
[0,11]=>[0,11,21]=R3_1不是理想
[0,23]=>[0,23,24]=R3_1不是理想
C:\MathTool\gaptool>subrings R2719.txt 9
[0,1]=>[0,1,3,4,5,8,9,14,17]=R9_3是理想,商环R3_1
[0,2]=>[0,2,3,5,7,12,13,16,20]=R9_3是理想,商环R3_1
[0,6]=>[0,3,5,6,15,18,19,25,26]=R9_3是理想,商环R3_1
[3,10]=>[0,3,5,10,11,21,22,23,24]=R9_4是理想,商环R3_1

C:\MathTool\gaptool>subrings R2720.txt 3
C:\MathTool\gaptool>subrings R2720.txt 9
[0,2]=>[0,2,5,8,11,14,17,19,22]=R9_2不是理想
[0,4]=>[0,4,8,9,13,17,20,23,25]=R9_2不是理想
[0,6]=>[0,6,7,8,15,16,17,24,26]=R9_2不是理想

C:\MathTool\gaptool>subrings R2721.txt 3
C:\MathTool\gaptool>subrings R2721.txt 9
[0,4]=>[0,4,5,7,12,13,16,18,24]=R9_2不是理想
[7,8]=>[0,7,8,11,16,17,19,25,26]=R9_4是理想,商环R3_2

C:\MathTool\gaptool>subrings R2722.txt 3

C:\MathTool\gaptool>subrings R2723.txt 3
[0,2]=>[0,2,5]=R3_1是理想,商环R9_1
[0,6]=>[0,6,14]=R3_1是理想,商环R9_5
[0,10]=>[0,10,23]=R3_1是理想,商环R9_3
[0,15]=>[0,15,19]=R3_1是理想,商环R9_3
C:\MathTool\gaptool>subrings R2723.txt 9
[2,6]=>[0,2,5,6,10,14,15,19,23]=R9_4是理想,商环R3_1

C:\MathTool\gaptool>subrings R2724.txt 3
[0,2]=>[0,2,6]=R3_1不是理想

C:\MathTool\gaptool>subrings R2725.txt 3
[0,1]=>[0,1,4]=R3_1是理想,商环R9_4
[0,2]=>[0,2,7]=R3_1是理想,商环R9_4
[0,3]=>[0,3,9]=R3_1是理想,商环R9_4
[0,5]=>[0,5,17]=R3_1是理想,商环R9_4
[0,6]=>[0,6,19]=R3_1是理想,商环R9_4
[0,8]=>[0,8,22]=R3_1是理想,商环R9_4
[0,10]=>[0,10,12]=R3_1是理想,商环R9_4
[0,11]=>[0,11,14]=R3_1是理想,商环R9_4
[0,13]=>[0,13,26]=R3_1是理想,商环R9_4
[0,15]=>[0,15,16]=R3_1是理想,商环R9_4
[0,18]=>[0,18,25]=R3_1是理想,商环R9_4
[0,20]=>[0,20,24]=R3_1是理想,商环R9_4
[0,21]=>[0,21,23]=R3_1是理想,商环R9_4

C:\MathTool\gaptool>subrings R2726.txt 3
[0,1]=>[0,1,3]=R3_2不是理想
[0,2]=>[0,2,6]=R3_1不是理想
C:\MathTool\gaptool>subrings R2726.txt 9
[0,5]=>[0,5,7,13,14,16,18,20,26]=R9_6不是理想
[0,8]=>[0,8,10,12,15,16,17,20,25]=R9_6不是理想
[0,19]=>[0,1,3,16,19,20,21,22,23]=R9_6不是理想

C:\MathTool\gaptool>subrings R2727.txt 3
C:\MathTool\gaptool>subrings R2727.txt 9
[0,1]=>[0,1,3,4,7,8,12,16,20]=R9_6是理想,商环R3_1
[0,2]=>[0,2,3,6,8,11,14,19,22]=R9_6是理想,商环R3_1
[0,5]=>[0,3,5,8,13,15,21,23,26]=R9_6是理想,商环R3_1
[0,17]=>[0,3,8,9,10,17,18,24,25]=R9_6是理想,商环R3_1
[9,12]=>[0,9,10,12,13,14,16,19,26]=R9_4是理想,商环R3_2

sq 3 1 3 0,0,1,0,1,1,0,0,0;0,1,1,0,0,0,0,0,0
或
sq 3 1 3 0,0,1,0,1,1,0,1,1;0,1,1,0,1,1,0,1,1
C:\MathTool\gaptool>subrings R2728.txt 3
[0,2]=>[0,2,6]=R3_2不是理想
[0,3]=>[0,3,7]=R3_2不是理想
[0,8]=>[0,8,22]=R3_1是理想,商环R9_8
[0,9]=>[0,9,10]=R3_1不是理想
[0,11]=>[0,11,21]=R3_1是理想,商环R9_6
[0,14]=>[0,14,16]=R3_2不是理想
[0,20]=>[0,20,23]=R3_1不是理想
C:\MathTool\gaptool>subrings R2728.txt 9
[0,1]=>[0,1,3,4,7,8,12,17,22]=R9_6不是理想
[0,5]=>[0,5,8,14,15,16,18,22,25]=R9_6不是理想
[0,13]=>[0,2,6,8,13,19,22,24,26]=R9_6不是理想
[2,3]=>[0,2,3,6,7,11,14,16,21]=R9_8是理想,商环R3_1
[8,9]=>[0,8,9,10,11,20,21,22,23]=R9_4是理想,商环R3_2

C:\MathTool\gaptool>subrings R2729.txt 3
[0,3]=>[0,3,8]=R3_1是理想,商环R9_4
C:\MathTool\gaptool>subrings R2729.txt 9
[0,1]=>[0,1,3,4,7,8,12,16,20]=R9_5是理想,商环R3_1
[0,2]=>[0,2,3,6,8,11,14,19,22]=R9_5是理想,商环R3_1
[0,5]=>[0,3,5,8,13,15,21,23,26]=R9_5是理想,商环R3_1
[0,9]=>[0,3,8,9,10,17,18,24,25]=R9_5是理想,商环R3_1

C:\MathTool\gaptool>subrings R2730.txt 3
[0,1]=>[0,1,4]=R3_2不是理想
[0,2]=>[0,2,7]=R3_1是理想,商环R9_7
[0,3]=>[0,3,9]=R3_1是理想,商环R9_7
[0,5]=>[0,5,17]=R3_2不是理想
[0,6]=>[0,6,18]=R3_2不是理想
[0,8]=>[0,8,19]=R3_1是理想,商环R9_7
[0,10]=>[0,10,12]=R3_2不是理想
[0,11]=>[0,11,14]=R3_2不是理想
[0,13]=>[0,13,26]=R3_2不是理想
[0,15]=>[0,15,16]=R3_1是理想,商环R9_7
[0,20]=>[0,20,23]=R3_2不是理想
[0,21]=>[0,21,25]=R3_2不是理想
[0,22]=>[0,22,24]=R3_2不是理想
C:\MathTool\gaptool>subrings R2730.txt 9
[1,2]=>[0,1,2,4,5,7,10,12,17]=R9_7不是理想
[1,3]=>[0,1,3,4,6,9,11,14,18]=R9_7不是理想
[1,8]=>[0,1,4,8,13,19,20,23,26]=R9_7不是理想
[1,15]=>[0,1,4,15,16,21,22,24,25]=R9_7不是理想
[2,3]=>[0,2,3,7,8,9,15,16,19]=R9_4是理想,商环R3_2
[2,6]=>[0,2,6,7,13,18,21,25,26]=R9_7不是理想
[2,11]=>[0,2,7,11,14,20,22,23,24]=R9_7不是理想
[3,5]=>[0,3,5,9,13,17,22,24,26]=R9_7不是理想
[3,10]=>[0,3,9,10,12,20,21,23,25]=R9_7不是理想
[5,6]=>[0,5,6,15,16,17,18,20,23]=R9_7不是理想
[5,8]=>[0,5,8,11,14,17,19,21,25]=R9_7不是理想
[6,8]=>[0,6,8,10,12,18,19,22,24]=R9_7不是理想
[10,11]=>[0,10,11,12,13,14,15,16,26]=R9_7不是理想

C:\MathTool\gaptool>subrings R2731.txt 3
[0,1]=>[0,1,3]=R3_1不是理想
[0,2]=>[0,2,6]=R3_1不是理想
[0,4]=>[0,4,9]=R3_1是理想,商环R9_4
[0,7]=>[0,7,20]=R3_1不是理想
[0,11]=>[0,11,23]=R3_1不是理想
[0,12]=>[0,12,16]=R3_1不是理想
[0,15]=>[0,15,19]=R3_1不是理想

C:\MathTool\gaptool>subrings R2732.txt 3

C:\MathTool\gaptool>subrings R2733.txt 3
C:\MathTool\gaptool>subrings R2733.txt 9
[0,2]=>[0,2,4,6,7,10,13,14,17]=R9_6是理想,商环R3_1
[0,5]=>[0,5,10,12,15,16,17,22,23]=R9_5是理想,商环R3_2

C:\MathTool\gaptool>subrings R2734.txt 3

C:\MathTool\gaptool>subrings R2735.txt 3
[0,4]=>[0,4,8]=R3_2不是理想
[0,9]=>[0,9,12]=R3_1不是理想
[0,14]=>[0,14,18]=R3_1不是理想
[0,15]=>[0,15,16]=R3_1是理想,商环R9_6
[0,19]=>[0,19,21]=R3_1是理想,商环R9_9

C:\MathTool\gaptool>subrings R2736.txt 3
[0,1]=>[0,1,3]=R3_2不是理想
[0,2]=>[0,2,7]=R3_1不是理想
C:\MathTool\gaptool>subrings R2736.txt 9
[1,4]=>[0,1,3,4,8,11,16,17,23]=R9_7不是理想
[1,6]=>[0,1,3,6,10,13,18,21,24]=R9_8不是理想
C:\MathTool\gaptool>subrings R2737.txt 9
[0,1]=>[0,1,3,4,6,8,9,10,14]=R9_9不是理想
[0,11]=>[0,5,6,11,14,16,19,20,25]=R9_9不是理想
[0,12]=>[0,6,12,13,14,17,18,22,24]=R9_9不是理想
[2,6]=>[0,2,6,7,14,15,21,23,26]=R9_4是理想,商环R3_2
[5,8]=>[0,5,8,9,18,20,21,22,23]=R9_7不是理想

C:\MathTool\gaptool>subrings R2737.txt 3
[0,2]=>[0,2,7]=R3_1不是理想
[0,5]=>[0,5,20]=R3_2不是理想
[0,6]=>[0,6,14]=R3_1是理想,商环R9_7
[0,8]=>[0,8,9]=R3_2不是理想
[0,15]=>[0,15,26]=R3_1不是理想
[0,18]=>[0,18,22]=R3_2不是理想
[0,21]=>[0,21,23]=R3_1是理想,商环R9_9

sq 4 1 3 0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1
sq 4 1 3 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1;0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0
C:\MathTool\gaptool>subrings R2738.txt 3
[0,2]=>[0,2,6]=R3_2不是理想
[0,10]=>[0,10,17]=R3_2是理想,商环R9_6
[0,12]=>[0,12,16]=R3_1是理想,商环R9_10
[0,13]=>[0,13,14]=R3_2是理想,商环R9_6
C:\MathTool\gaptool>subrings R2738.txt 9
[0,4]=>[0,2,4,6,7,10,13,14,17]=R9_10是理想,商环R3_1
[0,5]=>[0,5,10,12,15,16,17,22,23]=R9_6是理想,商环R3_2
[0,8]=>[0,8,11,12,13,14,16,19,26]=R9_6是理想,商环R3_2
[0,20]=>[0,2,6,12,16,20,21,24,25]=R9_6不是理想

C:\MathTool\gaptool>subrings R2739.txt 3
[0,3]=>[0,3,8]=R3_1是理想,商环R9_4
[0,5]=>[0,5,15]=R3_1不是理想
[0,13]=>[0,13,26]=R3_1不是理想
[0,21]=>[0,21,23]=R3_1不是理想

C:\MathTool\gaptool>subrings R2740.txt 3

C:\MathTool\gaptool>subrings R2741.txt 3
[0,1]=>[0,1,3]=R3_2不是理想
[0,2]=>[0,2,6]=R3_2不是理想
[0,4]=>[0,4,9]=R3_2不是理想
[0,7]=>[0,7,13]=R3_2不是理想
[0,12]=>[0,12,19]=R3_1是理想,商环R9_10
[0,16]=>[0,16,22]=R3_2是理想,商环R9_7
[0,17]=>[0,17,21]=R3_2不是理想
[0,24]=>[0,24,26]=R3_2不是理想
C:\MathTool\gaptool>subrings R2741.txt 9
[0,5]=>[0,5,7,13,14,16,17,21,22]=R9_10不是理想

C:\MathTool\gaptool>subrings R2742.txt 3
[0,7]=>[0,7,14]=R3_2不是理想
[0,22]=>[0,22,23]=R3_1是理想,商环R9_11

C:\MathTool\gaptool>subrings R2743.txt 3
[0,1]=>[0,1,4]=R3_2不是理想
C:\MathTool\gaptool>subrings R2743.txt 9
[1,2]=>[0,1,2,4,5,7,10,12,17]=R9_8不是理想
[1,3]=>[0,1,3,4,6,9,11,14,19]=R9_8不是理想
[1,8]=>[0,1,4,8,13,18,22,25,26]=R9_8不是理想
[1,15]=>[0,1,4,15,16,20,21,23,24]=R9_8不是理想
[2,3]=>[0,2,3,7,8,9,15,16,22]=R9_4是理想,商环R3_2
[2,6]=>[0,2,6,7,13,19,20,24,26]=R9_8不是理想
[2,11]=>[0,2,7,11,14,18,21,23,25]=R9_8不是理想
[3,5]=>[0,3,5,9,13,17,21,23,26]=R9_8不是理想
[3,10]=>[0,3,9,10,12,18,20,24,25]=R9_8不是理想
[5,6]=>[0,5,6,15,16,17,18,19,25]=R9_8不是理想
[5,8]=>[0,5,8,11,14,17,20,22,24]=R9_8不是理想
[6,8]=>[0,6,8,10,12,19,21,22,23]=R9_8不是理想
[10,11]=>[0,10,11,12,13,14,15,16,26]=R9_8不是理想

C:\MathTool\gaptool>subrings R2744.txt 3
[0,1]=>[0,1,3]=R3_2不是理想
[0,2]=>[0,2,6]=R3_1不是理想
C:\MathTool\gaptool>subrings R2744.txt 9
[0,5]=>[0,4,5,9,14,15,22,23,25]=R9_9不是理想
[0,7]=>[0,1,3,4,7,9,12,13,17]=R9_9不是理想
[0,8]=>[0,4,8,9,10,18,19,21,26]=R9_9不是理想
[1,16]=>[0,1,3,16,19,20,21,22,23]=R9_8不是理想
[2,4]=>[0,2,4,6,9,11,16,20,24]=R9_4是理想,商环R3_2

C:\MathTool\gaptool>subrings R2745.txt 3
[0,1]=>[0,1,3]=R3_1是理想,商环R9_9
[0,10]=>[0,10,11]=R3_2不是理想
[0,18]=>[0,18,23]=R3_1是理想,商环R9_9
[0,22]=>[0,22,24]=R3_1是理想,商环R9_9
[0,25]=>[0,25,26]=R3_1是理想,商环R9_9
C:\MathTool\gaptool>subrings R2745.txt 9
[0,2]=>[0,2,5,6,10,11,12,18,23]=R9_9不是理想
[0,4]=>[0,4,10,11,13,14,19,22,24]=R9_9不是理想
[0,7]=>[0,7,8,9,10,11,17,25,26]=R9_9不是理想
[0,15]=>[0,1,3,10,11,15,16,20,21]=R9_9不是理想

sq 3 1 3 1,0,1,0,0,1,0,1,0
或
sq 4 1 3 1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1;1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
C:\MathTool\gaptool>subrings R2746.txt 3
[0,5]=>[0,5,21]=R3_2不是理想
[0,15]=>[0,15,22]=R3_1是理想,商环R9_10
[0,18]=>[0,18,19]=R3_2不是理想
[0,24]=>[0,24,26]=R3_2是理想,商环R9_9
C:\MathTool\gaptool>subrings R2746.txt 9
[0,2]=>[0,2,6,7,14,15,18,19,22]=R9_9不是理想
[0,4]=>[0,4,5,8,18,19,21,24,26]=R9_10不是理想
[0,9]=>[0,9,12,15,16,20,22,24,26]=R9_6是理想,商环R3_2
[0,11]=>[0,5,11,15,17,21,22,23,25]=R9_9是理想,商环R3_2

C:\MathTool\gaptool>subrings R2747.txt 3
[0,1]=>[0,1,3]=R3_2不是理想
[0,4]=>[0,4,18]=R3_2不是理想
[0,5]=>[0,5,12]=R3_1是理想,商环R9_10
[0,6]=>[0,6,15]=R3_2是理想,商环R9_8
[0,9]=>[0,9,19]=R3_2不是理想
[0,10]=>[0,10,26]=R3_2不是理想
[0,16]=>[0,16,22]=R3_2不是理想
[0,20]=>[0,20,25]=R3_2不是理想
C:\MathTool\gaptool>subrings R2747.txt 9
[0,2]=>[0,2,5,6,7,12,13,14,15]=R9_6是理想,商环R3_2
[0,8]=>[0,6,8,11,15,16,20,22,25]=R9_10不是理想
[0,17]=>[0,1,3,6,10,15,17,23,26]=R9_10不是理想
[0,21]=>[0,4,6,9,15,18,19,21,24]=R9_10不是理想
[1,5]=>[0,1,3,5,9,12,16,19,22]=R9_8是理想,商环R3_2
[4,5]=>[0,4,5,10,12,18,20,25,26]=R9_8不是理想

C:\MathTool\gaptool>subrings R2748.txt 3
[0,1]=>[0,1,3]=R3_1不是理想
[0,2]=>[0,2,6]=R3_1不是理想
C:\MathTool\gaptool>subrings R2748.txt 9
[0,4]=>[0,4,5,10,13,14,21,22,26]=R9_5是理想,商环R3_1
[0,7]=>[0,5,7,9,10,17,18,24,25]=R9_5是理想,商环R3_1
[1,5]=>[0,1,3,5,8,10,12,16,20]=R9_4是理想,商环R3_1
[2,5]=>[0,2,5,6,10,11,15,19,23]=R9_4是理想,商环R3_1

sq 2 1 3 1,1,0,1;1,0,0,0
或
sq 4 1 3 1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
C:\MathTool\gaptool>subrings R2749.txt 3
[0,2]=>[0,2,7]=R3_2不是理想
[0,6]=>[0,6,15]=R3_2不是理想
[0,8]=>[0,8,9]=R3_2不是理想
[0,12]=>[0,12,13]=R3_2不是理想
[0,14]=>[0,14,16]=R3_2不是理想
[0,17]=>[0,17,24]=R3_1是理想,商环R9_10
[0,19]=>[0,19,26]=R3_2不是理想
[0,20]=>[0,20,25]=R3_2不是理想
C:\MathTool\gaptool>subrings R2749.txt 9
[0,1]=>[0,1,3,4,8,9,10,17,24]=R9_9不是理想
[0,5]=>[0,5,6,8,9,15,20,22,25]=R9_10不是理想
[0,11]=>[0,8,9,11,12,13,14,16,21]=R9_10不是理想
[0,18]=>[0,2,7,8,9,18,19,23,26]=R9_10不是理想
[2,6]=>[0,2,6,7,14,15,16,17,24]=R9_7是理想,商环R3_2
[12,17]=>[0,12,13,17,19,20,24,25,26]=R9_8是理想,商环R3_2

C:\MathTool\gaptool>subrings R2750.txt 3
[0,1]=>[0,1,3]=R3_2不是理想
[0,2]=>[0,2,6]=R3_2不是理想
[0,4]=>[0,4,9]=R3_2是理想,商环R9_10
[0,12]=>[0,12,19]=R3_2是理想,商环R9_10
[0,15]=>[0,15,26]=R3_2不是理想
[0,16]=>[0,16,24]=R3_2是理想,商环R9_10
[0,17]=>[0,17,25]=R3_2不是理想
C:\MathTool\gaptool>subrings R2750.txt 9
[0,5]=>[0,4,5,9,14,15,17,25,26]=R9_10不是理想
[0,7]=>[0,1,3,4,7,9,12,13,19]=R9_10是理想,商环R3_2
[0,8]=>[0,8,10,12,15,16,19,24,26]=R9_10是理想,商环R3_2
[0,11]=>[0,2,4,6,9,11,16,18,24]=R9_10是理想,商环R3_2
[0,20]=>[0,2,6,12,17,19,20,23,25]=R9_10不是理想
[0,21]=>[0,1,3,16,17,21,22,24,25]=R9_10不是理想

C:\MathTool\gaptool>subrings R2751.txt 3
[0,9]=>[0,9,12]=R3_2不是理想
[0,11]=>[0,11,21]=R3_2不是理想
[0,25]=>[0,25,26]=R3_2是理想,商环R9_11
C:\MathTool\gaptool>subrings R2751.txt 9
[0,7]=>[0,7,9,10,11,12,21,25,26]=R9_10不是理想

C:\MathTool\gaptool>subrings R2752.txt 3
[0,4]=>[0,4,7]=R3_2不是理想
C:\MathTool\gaptool>subrings R2752.txt 9
[0,5]=>[0,4,5,7,15,19,21,25,26]=R9_9不是理想

C:\MathTool\gaptool>subrings R2753.txt 3

C:\MathTool\gaptool>subrings R2754.txt 3

C:\MathTool\gaptool>subrings R2755.txt 3

C:\MathTool\gaptool>subrings R2756.txt 3
C:\MathTool\gaptool>subrings R2756.txt 9
[0,1]=>[0,1,3,4,7,8,12,16,20]=R9_5是理想,商环R3_1
[0,5]=>[0,3,5,8,13,15,21,23,26]=R9_5是理想,商环R3_1
[0,9]=>[0,3,8,9,10,17,18,24,25]=R9_5是理想,商环R3_1
[2,3]=>[0,2,3,6,8,11,14,19,22]=R9_4是理想,商环R3_1

C:\MathTool\gaptool>subrings R2757.txt 3
[0,2]=>[0,2,6]=R3_1不是理想
[0,4]=>[0,4,7]=R3_1是理想,商环R9_5
[0,10]=>[0,10,17]=R3_1不是理想
[0,13]=>[0,13,14]=R3_1不是理想
C:\MathTool\gaptool>subrings R2757.txt 9
[2,4]=>[0,2,4,6,7,10,13,14,17]=R9_4是理想,商环R3_1

C:\MathTool\gaptool>subrings R2758.txt 3
[0,1]=>[0,1,3]=R3_1不是理想
[0,2]=>[0,2,7]=R3_1不是理想

C:\MathTool\gaptool>subrings R2759.txt 3
[0,21]=>[0,21,25]=R3_2不是理想

C:\MathTool\gaptool>