Pagina:Opere matematiche (Cremona) II.djvu/218

$n\equiv 0\quad ({\mbox{mod.}}\,4)$

$x_{1}=1,$	${\tfrac {n}{2}}-3$
$x_{2}=3,$	0
$x_{3}=2$,	0
$x_{4}={\tfrac {n}{2}}-3,$	0
$x_{\tfrac {n}{4}}=0,$	3
$x_{{\tfrac {n}{4}}+1}=0,$	1
$x_{{\tfrac {n}{2}}-1}=0,$	1
$x_{\tfrac {n}{2}}=0,$	2
$x_{n-4}=1$,	0

$x_{1}=2$,	${\tfrac {n}{2}}-4$
$x_{3}=5$,	0
$x_{4}={\tfrac {n}{2}}-4$,	0
$x_{\tfrac {n}{4}}=0,$	5
$x_{{\tfrac {n}{4}}+1}=0,$	2
$x_{{\tfrac {3n}{4}}-1}=0,$	1
$x_{n-4}=1$,	0

$x_{1}=3$,	${\tfrac {n}{2}}-2$
$x_{2}=3$,	0
$x_{4}={\tfrac {n}{2}}-2$,	0
$x_{{\tfrac {n}{4}}-1}=0,$	1
$x_{\tfrac {n}{4}}=0,$	3
$x_{\tfrac {n}{2}}=0,$	3
$x_{n-4}=1$,	0

$x_{1}=6$,	${\tfrac {n}{2}}-2$
$x_{3}=1,$	0
$x_{4}={\tfrac {n}{2}}-2$,	0
$x_{{\tfrac {n}{4}}-1}=0,$	1
$x_{\tfrac {n}{4}}=0,$	6
$x_{\tfrac {3n}{4}}=0,$	1
$x_{n-4}=1$,	0

$n\equiv 1\quad ({\mbox{mod.}}\,4)$

$x_{1}=0$,	${\tfrac {n-7}{2}}$
$x_{2}=3$,	0
$x_{3}=3$,	0
$x_{4}={\tfrac {n-7}{2}}$,	0
$x_{\tfrac {n-1}{4}}=0,$	1
$x_{\tfrac {n+3}{4}}=0,$	3
$x_{\tfrac {n-1}{2}}=0,$	3
$x_{n-4}=1$,	0

$x_{1}=2$,	${\tfrac {n-5}{2}}$
$x_{2}=3$,	0
$x_{3}=1$,	0
$x_{4}={\tfrac {n-5}{2}},$	0
$x_{\tfrac {n-1}{4}}=0,$	3
$x_{\tfrac {n+3}{4}}=0,$	1
$x_{\tfrac {n-1}{2}}=0,$	2
$x_{\tfrac {n+1}{2}}=0,$	1
$x_{n-4}=1$,	0

$x_{1}=3$,	${\tfrac {n-7}{2}}$
$x_{3}=4$,	0
$x_{4}={\tfrac {n-7~}{2}}$,	0
$x_{\tfrac {n-1}{4}}=0,$	4
$x_{\tfrac {n+3}{4}}=0,$	3
$x_{\tfrac {3(n-1)}{4}}=0,$	1
$x_{n-4}=1$,	0

$x_{1}=7$,	${\tfrac {n-3}{2}}$
$x_{4}={\tfrac {n-3}{2}}$,	0
$x_{\tfrac {n-1}{4}}=0,$	7
$x_{\tfrac {3n+1}{4}}=0,$	1
$x_{n-4}=1$,	0