table of some fundamental units

Below, we tabulate the fundamental units $\eta$ of first real quadratic fields $\mathbb{Q}(\sqrt{d})$; the number $\omega$ is ${\displaystyle \frac{1+\sqrt{d}}{2}}$ for  $d\equiv 1(mod4)$  and $\sqrt{d}$ for  $d\not\equiv 1(mod4)$.

$d$	$\eta$	$d$	$\eta$
$2$	$1+\omega$	$47$	$48+7\omega$
$3$	$2+\omega$	$51$	$50+7\omega$
$5$	$\omega$	$53$	$3+\omega$
$6$	$5+2\omega$	$55$	$89+12\omega$
$7$	$8+3\omega$	$57$	$131+40\omega$
$10$	$3+\omega$	$58$	$99+13\omega$
$11$	$10+3\omega$	$59$	$530+69\omega$
$13$	$1+\omega$	$61$	$17+5\omega$
$14$	$15+4\omega$	$62$	$63+8\omega$
$15$	$4+\omega$	$65$	$7+2\omega$
$17$	$3+2\omega$	$66$	$65+8\omega$
$19$	$170+39\omega$	$67$	$48842+5967\omega$
$21$	$2+\omega$	$69$	$11+3\omega$
$22$	$197+42\omega$	$70$	$251+30\omega$
$23$	$24+5\omega$	$71$	$3480+413\omega$
$26$	$5+\omega$	$73$	$943+250\omega$
$29$	$2+\omega$	$74$	$43+5\omega$
$30$	$11+2\omega$	$77$	$4+\omega$
$31$	$1520+273\omega$	$78$	$53+6\omega$
$33$	$19+8\omega$	79	$80+9\omega$
$34$	$35+6\omega$	$82$	$9+\omega$
$35$	$6+\omega$	$83$	$82+9\omega$
$37$	$5+2\omega$	$85$	$4+\omega$
$38$	$37+6\omega$	$86$	$10405+1122\omega$
$39$	$25+4\omega$	$87$	$28+3\omega$
$41$	$27+10\omega$	$89$	$447+106\omega$
$42$	$13+2\omega$	$91$	$1574+165\omega$
$43$	$3482+531\omega$	$93$	$13+3\omega$
$46$	$24335+3588\omega$	$94$	$2143295+221064\omega$

Title	table of some fundamental units
Canonical name	TableOfSomeFundamentalUnits
Date of creation	2013-03-22 17:58:39
Last modified on	2013-03-22 17:58:39
Owner	pahio (2872)
Last modified by	pahio (2872)
Numerical id	9
Author	pahio (2872)
Entry type	Result
Classification	msc 11R04
Classification	msc 11R11
Classification	msc 11R27
Related topic	UnitsOfQuadraticFields
Related topic	QuadraticField
Related topic	IntegralBasisOfQuadraticField
Related topic	AlgebraicNumberTheory