kaleidoscopes, p295

の大域・局所問題を計算する．

{3,3,4}(1,0,0,0)・・・(8,24,32,16),(1,6,12,8)

{3,3,4}(0,1,0,0)・・・(24,96,96,24),(1,8,12,6)

{3,3,4}(0,0,1,0)・・・(32,96,88,24),(1,6,9,5)

{3,3,4}(0.0.0,1)・・・(16,32,24,8),(1,4,6,4)

{3,3,4}(1,1,0,0)・・・(48,120,96,24),(1,5,8,5)

{3,3,4}(1,0,1,0)・・・(96,288,240,48),(1,6,9,5)

{3,3,4}(1,0,0,1)・・・(64,192,208,80),(1,6,12,8)

{3,3,4}(0,1,1,0)・・・(96,192,120,24),(1,4,6,4)

{3,3,4}(0,1,0,1)・・・(96,288,248,56),(1,6,9,5)

{3,3,4}(0,0,1,1)・・・(64,128,88,24),(1,4,6,4)

{3,3,4}(1,1,1,0)・・・(192,384,240,48),(1,4,6,4)

{3,3,4}(1,1,0,1)・・・(192,480,368,80),(1,5,8,5)

{3,3,4}(1,0,1,1)・・・(192,480,368,80),(1,5,8,5)

{3,3,4}(0,1,1,1)・・・(192,384,248,56),(1,4,6,4)

{3,3,4}(1,1,1,1)・・・(384,768,464,80),(1,4,6,4)

＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝

{3,3,4}(1,0,0,0)・・・(8,24,32,16),(1,6,12,8)

1

0 1　　

0 0 1

0 0 0 1

0 0 0 0 1

これにD4(8,24,32,16,1)をかければOK

＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝

1

0 1　　

0 0 1

0 0 0 1

0 0 0 0 1

これに(1,4,6,4,1)をかけてもNG

これに(1,6,12,8,1)をかければOK・・・ｈγ、Ｅでは局所幾何は簡単に計算できるので、が計算できていることを前提としてもよい

＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝