20220613

Posted 华仔Ivan

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E:\\MathTool\\gaptool>iring0 16 -67 w
ret=0,环表示数据表中的记录条数=1181
R16_67
写入文件R1667.txt
cnt1=1:R4_1->i=1=>0,1,1,0,2,2,0,2,2
cnt1=2:R4_2->i=2=>0,1,1,0,1,1,0,1,1
cnt1=3:R2_1->i=3=>0,2,2,0,0,0,0,0,0

E:\\MathTool\\gaptool>SubRings R1667.txt 8
[1,5]=>[0,1,3,5,6,8,11,13]=R8_5是理想,商环R2_1
[2,3]=>[0,2,3,5,7,9,11,14]=R8_16是理想,商环R2_1
[3,4]=>[0,3,4,5,10,11,12,15]=R8_16是理想,商环R2_1

E:\\MathTool\\gaptool>SubRings R1667.txt 2
[0,3]=>[0,3]=R2_1是理想,商环R8_16
[0,5]=>[0,5]=R2_1是理想,商环R8_10
[0,11]=>[0,11]=R2_1是理想,商环R8_10

E:\\MathTool\\gaptool>SubRings R1667.txt 4
[0,1]=>[0,1,3,6]=R4_1是理想,商环R4_2
[0,2]=>[0,2,5,9]=R4_2不是理想
[0,4]=>[0,4,11,15]=R4_2不是理想
[0,7]=>[0,5,7,14]=R4_2不是理想
[0,8]=>[0,3,8,13]=R4_1是理想,商环R4_2
[0,10]=>[0,10,11,12]=R4_2不是理想
[3,5]=>[0,3,5,11]=R4_4是理想,商环R4_4

E:\\MathTool\\gaptool>iring0 16 67 w
ret=0,环表示数据表中的记录条数=1181
R16_67
写入文件R1667.txt
cnt1=1:R4_2->i=1=>0,0,0,2
cnt1=2:R4_1->i=2=>0,2,0,0
cnt1=3:R2_1->i=3=>0,0,0,4

E:\\MathTool\\gaptool>SubRings R1667.txt 8
[1,5]=>[0,1,3,5,6,8,11,13]=R8_16是理想,商环R2_1
[2,3]=>[0,2,3,5,7,9,11,14]=R8_5是理想,商环R2_1
[3,4]=>[0,3,4,5,10,11,12,15]=R8_16是理想,商环R2_1

E:\\MathTool\\gaptool>SubRings R1667.txt 2
[0,3]=>[0,3]=R2_1是理想,商环R8_10
[0,5]=>[0,5]=R2_1是理想,商环R8_16
[0,11]=>[0,11]=R2_1是理想,商环R8_10

E:\\MathTool\\gaptool>SubRings R1667.txt 4
[0,1]=>[0,1,3,6]=R4_2不是理想
[0,2]=>[0,2,5,9]=R4_1是理想,商环R4_2
[0,4]=>[0,4,11,15]=R4_2不是理想
[0,7]=>[0,5,7,14]=R4_1是理想,商环R4_2
[0,8]=>[0,3,8,13]=R4_2不是理想
[0,10]=>[0,10,11,12]=R4_2不是理想
[3,5]=>[0,3,5,11]=R4_4是理想,商环R4_4


E:\\MathTool\\gaptool>iring0 16 200 w
ret=0,环表示数据表中的记录条数=1181
R16_200
写入文件R16200.txt
cnt1=1:R8_23->i=1=>0,0,0,2,0,2,1,2,0
cnt1=2:R2_1->i=2=>0,0,0,2,2,0,0,0,0

E:\\MathTool\\gaptool>SubRings R16200.txt 8
[0,1]=>[0,1,3,4,6,7,10,13]=R8_23是理想,商环R2_1
[0,5]=>[0,3,4,5,10,11,12,15]=R8_23是理想,商环R2_1
[2,3,4]=>[0,2,3,4,8,9,10,14]=R8_25是理想,商环R2_1

E:\\MathTool\\gaptool>SubRings R16200.txt 2
[0,2]=>[0,2]=R2_1是理想,商环R8_23
[0,3]=>[0,3]=R2_1是理想,商环R8_5
[0,4]=>[0,4]=R2_1是理想,商环R8_26
[0,8]=>[0,8]=R2_1是理想,商环R8_23
[0,9]=>[0,9]=R2_1是理想,商环R8_23
[0,10]=>[0,10]=R2_1是理想,商环R8_16
[0,14]=>[0,14]=R2_1是理想,商环R8_23

E:\\MathTool\\gaptool>SubRings R16200.txt 4
[2,3]=>[0,2,3,9]=R4_4是理想,商环R4_1
[2,4]=>[0,2,4,8]=R4_4是理想,商环R4_5
[2,10]=>[0,2,10,14]=R4_4是理想,商环R4_2
[3,4]=>[0,3,4,10]=R4_4是理想,商环R4_4
[3,8]=>[0,3,8,14]=R4_4是理想,商环R4_1
[4,9]=>[0,4,9,14]=R4_4是理想,商环R4_5
[8,9]=>[0,8,9,10]=R4_4是理想,商环R4_2


E:\\MathTool\\gaptool>iring0 16 -200 w
ret=0,环表示数据表中的记录条数=1181
R16_200
写入文件R16200.txt
cnt1=1:R2_1->i=1=>4,4,4,4
cnt1=2:R8_23->i=2=>4,2,6,2

E:\\MathTool\\gaptool>SubRings R16200.txt 8
[0,2]=>[0,2,4,5,8,9,12,14]=R8_23是理想,商环R2_1
[0,3]=>[0,3,4,5,10,11,12,15]=R8_23是理想,商环R2_1
[1,4,5]=>[0,1,4,5,6,7,12,13]=R8_25是理想,商环R2_1

E:\\MathTool\\gaptool>SubRings R16200.txt 2
[0,1]=>[0,1]=R2_1是理想,商环R8_23
[0,4]=>[0,4]=R2_1是理想,商环R8_5
[0,5]=>[0,5]=R2_1是理想,商环R8_26
[0,6]=>[0,6]=R2_1是理想,商环R8_23
[0,7]=>[0,7]=R2_1是理想,商环R8_23
[0,12]=>[0,12]=R2_1是理想,商环R8_16
[0,13]=>[0,13]=R2_1是理想,商环R8_23

E:\\MathTool\\gaptool>SubRings R16200.txt 4
[1,4]=>[0,1,4,6]=R4_4是理想,商环R4_1
[1,5]=>[0,1,5,7]=R4_4是理想,商环R4_5
[1,12]=>[0,1,12,13]=R4_4是理想,商环R4_2
[4,5]=>[0,4,5,12]=R4_4是理想,商环R4_4
[4,7]=>[0,4,7,13]=R4_4是理想,商环R4_1
[5,6]=>[0,5,6,13]=R4_4是理想,商环R4_5
[6,7]=>[0,6,7,12]=R4_4是理想,商环R4_2

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