⒤μ=√γ^2(if=ｰv+ｉu)=ｰv+⒤√γ^2‣u⋍√(2m+1)

Mのｼﾞｮﾙﾀﾞﾝ基底u､vを用て
u=(1,1)､v=(-1/2,0)	∵γ={{1,1}､{0,1}}			,γ^2={{1,2}､{0,1}}
f=u+⒤v ∴⒤f=ｰv+⒤u
∵⒤μ=√γ^2(if=ｰv+ｉu)=ｰv+⒤√γ^2‣u⋍1/2+⒤√(2m+1)
(ﾘｰﾏﾝ)=⒤μ⋍1/2±11(文/11+s/11)⒤
文/11	s/11	∼	s	文/11+s/11	⋍√(2m+1)
1.2849745454546	0.454545	∼	5	1.739520	1.73205
1.9110936363636	0.363636	∼	4	2.274730	2.23607
2.2737136363636	0.363636	∼	4	2.637350	2.64575
2.2737136363636	0.727273	∼	8	3.000986	3.00000
2.7658972727273	0.727273	∼	8	3.493170	3.31662
2.9940963636364	0.636364	∼	7	3.630460	3.60555
3.4169245454546	0.454545	∼	5	3.871470	3.87298
3.7198827272727	0.272727	∼	3	3.992610	4.12311
3.9388245454546	0.454545	∼	5	4.393370	4.35890
3.9388245454546	0.454545	∼	5	4.393370	4.58258
4.3641045454546	0.454545	∼	5	4.818650	4.79583
4.5248936363636	0.363636	∼	4	4.888530	5.00000
4.8154545454546	0.454545	∼	5	5.270000	5.19615
5.1314545454546	0.454545	∼	5	5.586000	5.38516
5.3951818181818	0.181818	∼	2	5.577000	5.56776
5.5300909090909	0.636364	∼	7	6.166455	5.74456
5.5300909090909	0.090909	∼	1	5.621000	5.91608
5.9192727272727	0.272727	∼	3	6.192000	6.08276
5.9192727272727	0.272727	∼	3	6.192000	6.24500
6.8909090909091	0.909091	∼	10	7.800000	7.68115
6.8909090909091	0.909091	∼	10	7.800000	7.81025

∵⒤M=⒤√γ^2(f=u+Iv)=1/2+⒤√(2m+1)

∵⒤M=⒤√γ^2(f=u+Iv)=1/2+⒤√(2m+1)
(ﾘｰﾏﾝ)=1/2±11(s/11+文/11)⒤⋍√γ^2‣u
Mのｼﾞｮﾙﾀﾞﾝ基底u､vを用いて
u=(1,1)､y=(-1/2,0)
f=u+⒤v∴⒤f=ｰv+⒤u
∵γ^2=F[1,1,0]F[1,1,0]=F[1,2,0]
γ1^2	=	1,1	1,1	=	1,2
		0,1	0,1		0,1
∴F[1,2,0]u=γ^2n‣u⋍{2n+1,1}ｔ
γ^2‣u	=	1,2	1	=	3
		0,1	1		1
γ^4‣u	=	1,2	3	=	5
		0,1	1		1
γ^2‣v	=	1,2	ｰ1/2	=	ｰ1/2	∴-γ^2‣v=1/2
		0,1	0		0
M^n‣u	=	1,2	2n-1	=	2n+1
		0,1	1		1
(ﾘｰﾏﾝ)=1/2±11(文ブン/11+s/11)⒤⋍√γ^2‣u

∴-γ^2‣v=1/2 Mのｼﾞｮﾙﾀﾞﾝ基底u､v

Mのｼﾞｮﾙﾀﾞﾝ基底u､vを用いて
u=(1,1)､y=(-1/2,0)
f=u+⒤v ∴⒤f=ｰv+⒤u
∵γ^2=F[1,1,0]F[1,1,0]=F[1,2,0]
γ1^2	=	1,1	1,1	=	1,2
		0,1	0,1		0,1
∴F[1,2,0]u=γ^2n‣u⋍{2n+1,1}ｔ
γ^2‣u	=	1,2	1	=	3
		0,1	1		1
γ^4‣u	=	1,2	3	=	5
		0,1	1		1
γ^2‣v	=	1,2	ｰ1/2	=	ｰ1/2	∴-γ^2‣v=1/2
		0,1	0		0
M^n‣u	=	1,2	2n-1	=	2n+1
		0,1	1		1
(ﾘｰﾏﾝ)=1/2±11(文ブン/11+s/11)⒤⋍√γ^2‣u

(ﾘｰﾏﾝ)=1/2±11(文/11+s/11)⒤⋍√Φ^2‣u

Φ(z)はﾓｼﾞｭﾗｰ､Δ=1,c=0(mod32､32の倍数)
∵Φ^2=F[1,1,0]F[1,1,0]=F[1,2,0]
γ1^2	=	1,1	1,1	=	1,2
		0,1	0,1		0,1
F[1,2,0]u=Φ^2n‣u⋍{2n+1,1}
Φ^2‣u	=	1,2	1	=	3
		0,1	1		1
M^2‣u	=	1,2	3	=	5
		0,1	1		1
M^3‣u	=	1,2	5	=	7
		0,1	1		1
M^n‣u	=	1,2	2n-1	=	2n+1
		0,1	1		1
(ﾘｰﾏﾝ)=1/2±11(文/11+s/11)⒤⋍√Φ^2‣u
s/11	∼	s	文/11+s/11	‣	√(2m+1)
0.454545	∼	5	1.739520	‣	1.73205
0.363636	∼	4	2.274730	‣	2.23607
0.363636	∼	4	2.637350	‣	2.64575
0.727273	∼	8	3.000986	‣	3.00000
0.727273	∼	8	3.493170	‣	3.31662
0.636364	∼	7	3.630460	‣	3.60555
0.454545	∼	5	3.871470	‣	3.87298
0.272727	∼	3	3.992610	‣	4.12311
0.454545	∼	5	4.393370	‣	4.35890
0.454545	∼	5	4.393370	‣	4.58258
0.454545	∼	5	4.818650	‣	4.79583
0.363636	∼	4	4.888530	‣	5.00000
0.454545	∼	5	5.270000	‣	5.19615
0.454545	∼	5	5.586000	‣	5.38516
0.181818	∼	2	5.577000	‣	5.56776
0.636364	∼	7	6.166455	‣	5.74456
0.090909	∼	1	5.621000	‣	5.91608
0.272727	∼	3	6.192000	‣	6.08276
0.272727	∼	3	6.192000	‣	6.24500
0.909091	∼	10	7.800000	‣	7.68115
0.909091	∼	10	7.800000	‣	7.81025

∴F[1,2,0]u=M^n‣u⋍{2n+1,1}ｔ

∴F[1,2,0]u=M^n‣u⋍{2n+1,1}ｔ
M‣u	=	1,2	1	=	3
		0,1	1		1
M^2‣u	=	1,2	3	=	5
		0,1	1		1
M^3‣u	=	1,2	5	=	7
		0,1	1		1
M^n‣u	=	1,2	2n-1	=	2n+1
		0,1	1		1