057983138433955882483556816617339018195508924667782
042898879384623081953507082523699065543916029676565349509487102686726405036344
889957813954840804697878603723560031033518890166410542245140400821480026071893
924502077785635698810693233664357379481092927781936265980614204270094398298364
733767922501305495445975380037647617519082652294857728828349379913418698964043
483457091550460629912859614271432256377699794328889523074041463529466113313641
884192574888189320796571991444939402534883228262813

-----------------------------------------------------------------------------

The Madelung constant (in absolute value).

(for the NaCl)

References :

Richard E. Crandall, Topics in Advanced Scientific Computation,
Springer , Telos books, 1996. pages 73-79.

Andre Hautot, New applications of Poisson's summation formula, J of Phys, A
vol. 8 #6, 1975 pp 853-862.

David H. Bailey, personal communication,

1.7475645946331821906362120355443974034851614366247417581528
253507650406235327611798907583626946078899308325815387537105932820299441838280
130369330021565993632823766071722975686592380371672038104106034214556064382777
786832173132243697558773426250474787821285086056791668167573992447684129703678
251857628109371313372076707193197424971581157230969923096692739496577811072226
715205474090115068915716583082820050184892117803134673122964985828828184357133
159143170054956325334887536302670425627486948438002800259270026847557436497550
492246136239920400157506303972146648111512373640102950660119390467194373312530
445102911514639759331918047977946099333746429426562908969344779296885419044079
142558327219971840906746802376153893544565503602730285440849344302806267044182
412004397418676617724475639534442306853849527943580751895490309305073843954464
206438717926390780392074428209795791773699230408221437464566804310569266319755
045922443248074894080624749361070936309149224368986933140903796823240790046284
487394

-----------------------------------------------------------------------------

The gamma function has a minumum at this point.

1.461632144968362341262659542325721328468196204006446351295988409

is the solution of the equation : Psi(x)*GAMMA(x)=0

the point y of that function is

0.8856031944108887002788159005825887332079515336699034488712001659

-----------------------------------------------------------------------------

Minimal y of GAMMA(x),

The gamma function has a minumum at this point.

1.4616321449