pcf2 back data : e = 29, L = 219−1 = 524287

Definition of the polynomial G

The order of polynomial G is L−1. For each u ( 0 ≤ u ≤ L-1 ), the coefficient xu to T u is

xu = ∑0≤v≤2e-1 sp(gLv + 2e+1u).

Computation

The computation of polynomial G was separated into 512 parts. The i th part (1 ≤ i ≤ 512) computed

xu(i) = ∑v1≤v≤v2 sp(gLv + 2e+1u) for 0 ≤ u ≤ L-1,

where v1 = 2e×((i−1) / 512), v2 = 2e×(i / 512) − 1. These had been computed in 2014, which required totally 5,965 hours using several personal computers.

We can execute the procedure of Lemma 1(I) by assembling partitioned data into G mod 2, and computing GCD(G mod 2, Φ mod 2).
Obtained result is 2 | h-p). [computation log]

Data files

The result of i th part, xu(i)mod 2 (0 ≤ u ≤ L-1) were packed into a bit array. Each 64 bits in the bit array were converted to a long integer (-263 ≤ l ≤ 263-1) and stored in the data file "partiof512.bitpoly".

In the table below, one can see the data file by clicking "D", and can see the corresponding computation log file. by clicking "L". One can also see these files by direct specification of URLs on browsers, e.g.
"http://fujima.sci.ibaraki.ac.jp/pcf2/e=29-L=524287/data/part123of512.bitpoly"
and
"http://fujima.sci.ibaraki.ac.jp/pcf2/e=29-L=524287/log/part123of512.bitpoly.log".

i+0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19
0 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
20 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
40 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
60 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
80 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
100 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
120 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
140 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
160 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
180 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
200 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
220 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
240 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
260 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
280 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
300 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
320 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
340 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
360 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
380 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
400 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
420 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
440 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
460 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
480 DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL DL
+0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19
500 DL DL DL DL DL DL DL DL DL DL DL DL DL

pcf2: Note on the class number of the p th cyclotomic field, II,
Shoichi Fujima and Humio Ichimura