values of the Dedekind zeta function of $\mathbb{Q}(\sqrt{5})$ at negative integers

As an example of the http://planetmath.org/node/8064parent entry, we exhibit a few values of the Dedekind zeta function $\zeta (s,K)$ associated to the number field $K=\mathbb{Q}(\sqrt{5})$. The following are the first few values of $\zeta (1-k,K)$ for $k\ge 2$ even ($\zeta (1-k,K)=0$ for odd $k$):

$k$	$\zeta (1-k,K)$
$2$	$1/30$
$4$	$1/60$
$6$	$67/630$
$8$	$361/120$
$10$	$412751/1650$
$12$	$795286411/16380$
$14$	$568591843/30$
$16$	$54701427071177/4080$
$18$	$571363169189645713/35910$
$20$	$98510726938027364651/3300$
$22$	$58282448789678207092153/690$
$24$	$11364600197977872303826339891/32760$
$26$	$60097244486962154421889002337/30$
$28$	$27553534229181632149212403498558667/1740$
$30$	$179897691732312705009829008469165679351567/1074150$
$32$	$18959952687425212997198188226124948760804457/8160$
$34$	$1246857198273009466623646468891606914655865453/30$
$36$	$32613724432434114882079789497713006473885167100345949413/34545420$
$38$	$806046617423971060143933083079087480165364733020665319/30$
$40$	$256143677142597053855778958609943339670281438740737609308546491/270600$
$42$	$7744103059592598379932370402622990883812122603998003590194837592521/189630$
$44$	$2948486831915768046445018911155037347932306554653422623861453575795893/1380$
$46$	$189448047879825594335580602295205397993735968958688272066548049250586050109/1410$
$48$	$11220849734737403891785284646197712257525539376899788451604867938805644674521295667/1113840$
$50$	$7374830701193124787713243044624034212252297046043499899645907770420650321652018100351/8250$

Title	values of the Dedekind zeta function of $\mathbb{Q}\left(\sqrt{5}\right)$ at negative integers
Canonical name	ValuesOfTheDedekindZetaFunctionOfmathbbQsqrt5AtNegativeIntegers
Date of creation	2013-03-22 16:01:29
Last modified on	2013-03-22 16:01:29
Owner	alozano (2414)
Last modified by	alozano (2414)
Numerical id	5
Author	alozano (2414)
Entry type	Example
Classification	msc 11R42
Classification	msc 11M06