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<strong>×</strong>Ø<strong>×</strong>ݽ ÔØÖºÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÖÓÑÝÓÒËÔØÖ<br />

ÖÐÖÓÓØ<strong>×</strong>ÖØÒÚÒÝ )/2ºº¸Ø<strong>×</strong>ÓÒ¹ÐÓØ<strong>×</strong>ÙÑÓÚÖÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ºÌÔÓ<strong>×</strong>ØÚ ´ºµ<br />

(ρ, = −1 .<br />

ÇÒ<strong>×</strong>ρ=(δ 1 +δ 2 +δ 3<br />

´ºµ<br />

ÖÓÙÔÜÔÐغÓÒ<strong>×</strong>ÖØÓÐÐÓÛÒÒØØÓÒ<br />

LÖ+ = −2¸ÛÒÑØØÓÒÓØÏÝÐ<br />

3º<br />

,<br />

ÛÖWÖÖ<strong>×</strong>ØÓØÏÝÐÖÓÙÔW(A 1,II )ÒM II = Z +δ 1 ⊕ Z + δ 2 ⊕ Z + δ<br />

ÓÓ<strong>×</strong>Ò<strong>×</strong>ØÓÑØÖ<strong>×</strong>ÓÖØ<strong>×</strong><strong>×</strong>f 2 , f 3 , f<br />

ÏØØÓÚÒØØÓÒ¸ØÖÓÓØÚØÓÖ<strong>×</strong>ÖÚÒÝØÑØÖ<strong>×</strong> ´º½¼µ<br />

.<br />

)ÒÖÑÒØÛØØÒÖÐÓÖÑÙÐÚÒÒÖº¸<br />

´º½½µ<br />

.<br />

<strong>×</strong>ØÓÐÐÓÛÒØÓÒ<br />

ÇÒÐ<strong>×</strong>Ó<strong>×</strong>ρ (4) 1,0<strong>×</strong>ØÒÚÒÝ−2detNºÌÏÝÐÖÓÙÔ <strong>×</strong>Õºº¾℄ºÁÒØÖÑ<strong>×</strong>ÓØÚÖÐ<strong>×</strong>q, r, sØ<strong>×</strong>ÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>Ör , qrÒsr Ö<strong>×</strong>ÔØÚÐݺÌÒÓÖÑÓÑØÖÜN 3ÑÒØÓÒÒÕº´ºµ<strong>×</strong>ÒÖØÝ ´º½¾µ<br />

∈ M<br />

M 1,0<br />

´º½¿µ<br />

.<br />

ÌS<br />

iºÀÓÛÚÖ¸ÛÖÔÖÓÙØÒÓØØÓÒÓÖØ<strong>×</strong>ÒÓÒÆÙÐÒ℄´ÛÖ<strong>×</strong>Ý<strong>×</strong>ÒµÖº<br />

)/2ÓÖÐÐÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong><br />

.<br />

<strong>×</strong>Ø<strong>×</strong>ÝÒr −1 2 = r2 0 = (r −1r 0 ) 3 = 1ºÌØÖÐÑÒØÖÝÖØÓÒ<strong>×</strong>ØØÒÖØW(A ½Ì<strong>×</strong>ØÒÖÓÒÚÒØÓÒ<strong>×</strong>ØÓÒρØÖÓÙØÓÒØÓÒ(ρ, δ i ) = (δ i , δ i<br />

½½<br />

δ<br />

=<br />

δ i ) = − (δ i, δ i )<br />

2<br />

(<br />

)<br />

W(δ 1 , δ 2 , δ 3 ) ∩ M + II<br />

+<br />

( ) ( ) ( )<br />

1 0 0 1 0 0<br />

f −2 ↔ , f 3 ↔ , f 2 ↔<br />

0 0 1 0 0 1<br />

( ) ( ) ( )<br />

2 1 0 −1 0 1<br />

δ 1 = , δ 2 = , δ 3 =<br />

1 0 −1 0 1 2<br />

(<br />

1/4 1/2<br />

1/2 1<br />

−1<br />

N → A · N · A T , A ∈ PGL(2, Z)ÒN ∈<br />

( )<br />

0 1<br />

r −1 =<br />

1 0<br />

( )<br />

1 1<br />

, r 0 =<br />

0 −1<br />

1,II )

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