Expansion of base-e pentation

[Cherrina_Pixie]

Thanks a lot for the new code.. I'm using it with \p 144 and here's what I got with the tetra-critical base:

Code:

pentation base        1.63532449671527639934534
pentation(-0.5)       0.540797083552851488750669
sexp fixed point      -1.64087257571659334856123
sexp slope at fixed   4.80600575430175169638439
pentation period      4.00236960853189042690462*I
pentation singularity -1.64567803532871618956816 + 2.00118480426594521345231*I
pentation precision, via sexp(pent(-0.5))-pent(0.5)
                      -1.07453771385838299166832 E-47

sexp base, sexp(upfixed)=upfixed 1.635324496715276399345344618306171081253245583805214921239933138
init;loop iterations required    5
upfixed, parabolic fixed point   3.088532271806717654482180782641118354591562305888618375366018821
sexp'(upfixed) base B            1.000000000000000000000000000000000000000000000000000000000000733
sexp(upfixed)-upfixed error      1.798819556079857201958540901921757666714851764784459372991669150 E-72

This took less than half hour, with the old code it could have taken several hours!

Base needed only about three minutes, even at \p 144 =)