Initial release of BGap
[BGap.git] / auxiliary / HPL / HPLrules8.h
blob096838a4854e3dbd58046211486f62ce3ebfa82f
1 * computed in convertHPL.frm
6 id HPL(0,0,0,0,0,0,0,1)= (
7 -24/175*zeta2^4
8 );
12 id HPL(0,0,0,0,0,0,1,0)= (
13 +24/25*zeta2^4
18 id HPL(0,0,0,0,0,0,1,1)= (
19 +6/35*zeta2^4
20 -zeta3*zeta5
25 id HPL(0,0,0,0,0,1,0,0)= (
26 -72/25*zeta2^4
31 id HPL(0,0,0,0,0,1,0,1)= (
32 -42/125*zeta2^4
33 +2*zeta3*zeta5
34 -2/5*[zeta5,3]
39 id HPL(0,0,0,0,0,1,1,0)= (
40 -606/875*zeta2^4
41 +4*zeta3*zeta5
42 +2/5*[zeta5,3]
47 id HPL(0,0,0,0,0,1,1,1)= (
48 -61/175*zeta2^4
49 -1/2*zeta2*zeta3^2
50 +3*zeta3*zeta5
55 id HPL(0,0,0,0,1,0,0,0)= (
56 +24/5*zeta2^4
61 id HPL(0,0,0,0,1,0,0,1)= (
62 +[zeta5,3]
67 id HPL(0,0,0,0,1,0,1,0)= (
68 +42/25*zeta2^4
69 -10*zeta3*zeta5
74 id HPL(0,0,0,0,1,0,1,1)= (
75 +2266/2625*zeta2^4
76 +zeta2*zeta3^2
77 -7*zeta3*zeta5
78 +7/10*[zeta5,3]
83 id HPL(0,0,0,0,1,1,0,0)= (
84 +156/175*zeta2^4
85 -5*zeta3*zeta5
86 -[zeta5,3]
91 id HPL(0,0,0,0,1,1,0,1)= (
92 -157/2625*zeta2^4
93 +3/2*zeta2*zeta3^2
94 -5/2*zeta3*zeta5
95 -2/5*[zeta5,3]
100 id HPL(0,0,0,0,1,1,1,0)= (
101 +822/875*zeta2^4
102 -11/2*zeta3*zeta5
103 -3/10*[zeta5,3]
108 id HPL(0,0,0,0,1,1,1,1)= (
109 +499/1400*zeta2^4
110 +zeta2*zeta3^2
111 -4*zeta3*zeta5
116 id HPL(0,0,0,1,0,0,0,0)= (
117 -24/5*zeta2^4
122 id HPL(0,0,0,1,0,0,0,1)= (
123 +2/175*zeta2^4
128 id HPL(0,0,0,1,0,0,1,0)= (
129 -6/175*zeta2^4
130 -4*[zeta5,3]
135 id HPL(0,0,0,1,0,0,1,1)= (
136 -29/175*zeta2^4
137 -1/2*zeta2*zeta3^2
138 +2*zeta3*zeta5
139 -5/2*[zeta5,3]
144 id HPL(0,0,0,1,0,1,0,0)= (
145 -582/175*zeta2^4
146 +20*zeta3*zeta5
147 +4*[zeta5,3]
152 id HPL(0,0,0,1,0,1,0,1)= (
153 -2386/2625*zeta2^4
154 -3*zeta2*zeta3^2
155 +11*zeta3*zeta5
156 +9/5*[zeta5,3]
161 id HPL(0,0,0,1,0,1,1,0)= (
162 -1936/875*zeta2^4
163 +13*zeta3*zeta5
164 +2/5*[zeta5,3]
169 id HPL(0,0,0,1,0,1,1,1)= (
170 -14899/21000*zeta2^4
171 -2*zeta2*zeta3^2
172 +8*zeta3*zeta5
173 -3/5*[zeta5,3]
178 id HPL(0,0,0,1,1,0,0,0)= (
179 -2/25*zeta2^4
184 id HPL(0,0,0,1,1,0,0,1)= (
185 -142/525*zeta2^4
186 -1/2*zeta2*zeta3^2
187 +5/2*zeta3*zeta5
188 +[zeta5,3]
193 id HPL(0,0,0,1,1,0,1,0)= (
194 +1478/875*zeta2^4
195 -2*zeta2*zeta3^2
196 -6*zeta3*zeta5
197 -11/5*[zeta5,3]
202 id HPL(0,0,0,1,1,0,1,1)= (
203 -1919/4200*zeta2^4
204 -3/2*zeta2*zeta3^2
205 +11/2*zeta3*zeta5
206 +3/2*[zeta5,3]
211 id HPL(0,0,0,1,1,1,0,0)= (
212 -283/175*zeta2^4
213 +zeta2*zeta3^2
214 +15/2*zeta3*zeta5
215 +3/2*[zeta5,3]
220 id HPL(0,0,0,1,1,1,0,1)= (
221 +7457/21000*zeta2^4
222 +1/2*zeta2*zeta3^2
223 -3*zeta3*zeta5
224 -6/5*[zeta5,3]
229 id HPL(0,0,0,1,1,1,1,0)= (
230 -4301/7000*zeta2^4
231 -zeta2*zeta3^2
232 +11/2*zeta3*zeta5
233 +3/10*[zeta5,3]
238 id HPL(0,0,0,1,1,1,1,1)= (
239 -61/175*zeta2^4
240 -1/2*zeta2*zeta3^2
241 +3*zeta3*zeta5
246 id HPL(0,0,1,0,0,0,0,0)= (
247 +72/25*zeta2^4
252 id HPL(0,0,1,0,0,0,0,1)= (
253 -24/175*zeta2^4
254 +zeta3*zeta5
255 -[zeta5,3]
260 id HPL(0,0,1,0,0,0,1,0)= (
261 +18/35*zeta2^4
262 -4*zeta3*zeta5
263 +4*[zeta5,3]
268 id HPL(0,0,1,0,0,0,1,1)= (
269 +13/21*zeta2^4
270 +2*zeta2*zeta3^2
271 -15/2*zeta3*zeta5
272 +3/2*[zeta5,3]
277 id HPL(0,0,1,0,0,1,0,0)= (
278 -18/25*zeta2^4
279 +6*zeta3*zeta5
284 id HPL(0,0,1,0,0,1,0,1)= (
285 -1187/875*zeta2^4
286 -9/2*zeta2*zeta3^2
287 +33/2*zeta3*zeta5
288 +13/10*[zeta5,3]
293 id HPL(0,0,1,0,0,1,1,0)= (
294 -3/875*zeta2^4
295 +17/10*[zeta5,3]
300 id HPL(0,0,1,0,0,1,1,1)= (
301 -1919/4200*zeta2^4
302 -3/2*zeta2*zeta3^2
303 +11/2*zeta3*zeta5
304 +3/2*[zeta5,3]
309 id HPL(0,0,1,0,1,0,0,0)= (
310 +666/175*zeta2^4
311 -24*zeta3*zeta5
312 -4*[zeta5,3]
317 id HPL(0,0,1,0,1,0,0,1)= (
318 +56/25*zeta2^4
319 +6*zeta2*zeta3^2
320 -49/2*zeta3*zeta5
321 -4*[zeta5,3]
326 id HPL(0,0,1,0,1,0,1,0)= (
327 +24/25*zeta2^4
328 +6*zeta2*zeta3^2
329 -17*zeta3*zeta5
334 id HPL(0,0,1,0,1,0,1,1)= (
335 +19007/7000*zeta2^4
336 +9*zeta2*zeta3^2
337 -33*zeta3*zeta5
338 -18/5*[zeta5,3]
343 id HPL(0,0,1,0,1,1,0,0)= (
344 +2487/875*zeta2^4
345 -3*zeta2*zeta3^2
346 -11*zeta3*zeta5
347 -23/10*[zeta5,3]
352 id HPL(0,0,1,0,1,1,0,1)= (
353 -28087/21000*zeta2^4
354 -3*zeta2*zeta3^2
355 +27/2*zeta3*zeta5
356 +27/10*[zeta5,3]
361 id HPL(0,0,1,0,1,1,1,0)= (
362 +11651/7000*zeta2^4
363 +3*zeta2*zeta3^2
364 -31/2*zeta3*zeta5
365 -3/10*[zeta5,3]
370 id HPL(0,0,1,0,1,1,1,1)= (
371 +2266/2625*zeta2^4
372 +zeta2*zeta3^2
373 -7*zeta3*zeta5
374 +7/10*[zeta5,3]
379 id HPL(0,0,1,1,0,0,0,0)= (
380 -156/175*zeta2^4
381 +6*zeta3*zeta5
382 +[zeta5,3]
387 id HPL(0,0,1,1,0,0,0,1)= (
388 -241/525*zeta2^4
389 -3/2*zeta2*zeta3^2
390 +11/2*zeta3*zeta5
395 id HPL(0,0,1,1,0,0,1,0)= (
396 -9/175*zeta2^4
397 +1/2*zeta3*zeta5
398 +[zeta5,3]
403 id HPL(0,0,1,1,0,0,1,1)= (
404 +1/1400*zeta2^4
409 id HPL(0,0,1,1,0,1,0,0)= (
410 -2592/875*zeta2^4
411 +17*zeta3*zeta5
412 +23/10*[zeta5,3]
417 id HPL(0,0,1,1,0,1,0,1)= (
418 -9491/7000*zeta2^4
419 -9/2*zeta2*zeta3^2
420 +33/2*zeta3*zeta5
421 +9/5*[zeta5,3]
426 id HPL(0,0,1,1,0,1,1,0)= (
427 +69/7000*zeta2^4
428 -27/10*[zeta5,3]
433 id HPL(0,0,1,1,0,1,1,1)= (
434 -29/175*zeta2^4
435 -1/2*zeta2*zeta3^2
436 +2*zeta3*zeta5
437 -5/2*[zeta5,3]
442 id HPL(0,0,1,1,1,0,0,0)= (
443 +58/35*zeta2^4
444 -19/2*zeta3*zeta5
445 -3/2*[zeta5,3]
450 id HPL(0,0,1,1,1,0,0,1)= (
451 +3043/4200*zeta2^4
452 +2*zeta2*zeta3^2
453 -8*zeta3*zeta5
454 -3/2*[zeta5,3]
459 id HPL(0,0,1,1,1,0,1,0)= (
460 +179/1000*zeta2^4
461 +2*zeta2*zeta3^2
462 -5*zeta3*zeta5
463 +21/10*[zeta5,3]
468 id HPL(0,0,1,1,1,0,1,1)= (
469 +13/21*zeta2^4
470 +2*zeta2*zeta3^2
471 -15/2*zeta3*zeta5
472 +3/2*[zeta5,3]
477 id HPL(0,0,1,1,1,1,0,0)= (
478 -1/200*zeta2^4
479 -zeta2*zeta3^2
480 +2*zeta3*zeta5
485 id HPL(0,0,1,1,1,1,0,1)= (
486 -703/875*zeta2^4
487 -2*zeta2*zeta3^2
488 +17/2*zeta3*zeta5
489 +7/10*[zeta5,3]
494 id HPL(0,0,1,1,1,1,1,0)= (
495 +466/875*zeta2^4
496 +zeta2*zeta3^2
497 -5*zeta3*zeta5
498 -2/5*[zeta5,3]
503 id HPL(0,0,1,1,1,1,1,1)= (
504 +6/35*zeta2^4
505 -zeta3*zeta5
510 id HPL(0,1,0,0,0,0,0,0)= (
511 -24/25*zeta2^4
516 id HPL(0,1,0,0,0,0,0,1)= (
517 +374/875*zeta2^4
518 -2*zeta3*zeta5
519 +2/5*[zeta5,3]
524 id HPL(0,1,0,0,0,0,1,0)= (
525 -326/175*zeta2^4
526 +8*zeta3*zeta5
531 id HPL(0,1,0,0,0,0,1,1)= (
532 -703/875*zeta2^4
533 -2*zeta2*zeta3^2
534 +17/2*zeta3*zeta5
535 +7/10*[zeta5,3]
540 id HPL(0,1,0,0,0,1,0,0)= (
541 +562/175*zeta2^4
542 -12*zeta3*zeta5
543 -4*[zeta5,3]
548 id HPL(0,1,0,0,0,1,0,1)= (
549 +944/525*zeta2^4
550 +5*zeta2*zeta3^2
551 -20*zeta3*zeta5
552 -4*[zeta5,3]
557 id HPL(0,1,0,0,0,1,1,0)= (
558 +466/2625*zeta2^4
559 -zeta2*zeta3^2
560 +zeta3*zeta5
561 -9/5*[zeta5,3]
566 id HPL(0,1,0,0,0,1,1,1)= (
567 +7457/21000*zeta2^4
568 +1/2*zeta2*zeta3^2
569 -3*zeta3*zeta5
570 -6/5*[zeta5,3]
575 id HPL(0,1,0,0,1,0,0,0)= (
576 -478/175*zeta2^4
577 +8*zeta3*zeta5
578 +4*[zeta5,3]
583 id HPL(0,1,0,0,1,0,0,1)= (
584 -793/875*zeta2^4
585 -2*zeta2*zeta3^2
586 +9*zeta3*zeta5
587 +27/10*[zeta5,3]
592 id HPL(0,1,0,0,1,0,1,0)= (
593 -152/175*zeta2^4
594 -2*zeta2*zeta3^2
595 +9*zeta3*zeta5
596 +4*[zeta5,3]
601 id HPL(0,1,0,0,1,0,1,1)= (
602 -28087/21000*zeta2^4
603 -3*zeta2*zeta3^2
604 +27/2*zeta3*zeta5
605 +27/10*[zeta5,3]
610 id HPL(0,1,0,0,1,1,0,0)= (
611 +6/35*zeta2^4
612 +5/2*zeta2*zeta3^2
613 -6*zeta3*zeta5
614 -[zeta5,3]
619 id HPL(0,1,0,0,1,1,0,1)= (
620 +56249/21000*zeta2^4
621 +6*zeta2*zeta3^2
622 -27*zeta3*zeta5
623 -27/5*[zeta5,3]
628 id HPL(0,1,0,0,1,1,1,0)= (
629 -31343/21000*zeta2^4
630 -3/2*zeta2*zeta3^2
631 +23/2*zeta3*zeta5
632 +33/10*[zeta5,3]
637 id HPL(0,1,0,0,1,1,1,1)= (
638 -157/2625*zeta2^4
639 +3/2*zeta2*zeta3^2
640 -5/2*zeta3*zeta5
641 -2/5*[zeta5,3]
646 id HPL(0,1,0,1,0,0,0,0)= (
647 -94/175*zeta2^4
648 +8*zeta3*zeta5
653 id HPL(0,1,0,1,0,0,0,1)= (
654 -803/875*zeta2^4
655 -2*zeta2*zeta3^2
656 +9*zeta3*zeta5
657 +11/5*[zeta5,3]
662 id HPL(0,1,0,1,0,0,1,0)= (
663 +3/35*zeta2^4
664 -2*zeta2*zeta3^2
665 +4*zeta3*zeta5
666 -4*[zeta5,3]
671 id HPL(0,1,0,1,0,0,1,1)= (
672 -9491/7000*zeta2^4
673 -9/2*zeta2*zeta3^2
674 +33/2*zeta3*zeta5
675 +9/5*[zeta5,3]
680 id HPL(0,1,0,1,0,1,0,0)= (
681 -31/175*zeta2^4
682 -2*zeta2*zeta3^2
683 +4*zeta3*zeta5
688 id HPL(0,1,0,1,0,1,0,1)= (
689 +1/280*zeta2^4
694 id HPL(0,1,0,1,0,1,1,0)= (
695 -997/21000*zeta2^4
696 -3*zeta2*zeta3^2
697 +6*zeta3*zeta5
698 -9/5*[zeta5,3]
703 id HPL(0,1,0,1,0,1,1,1)= (
704 -2386/2625*zeta2^4
705 -3*zeta2*zeta3^2
706 +11*zeta3*zeta5
707 +9/5*[zeta5,3]
712 id HPL(0,1,0,1,1,0,0,0)= (
713 -5119/2625*zeta2^4
714 +zeta2*zeta3^2
715 +10*zeta3*zeta5
716 +11/5*[zeta5,3]
721 id HPL(0,1,0,1,1,0,0,1)= (
722 -6159/7000*zeta2^4
723 -3/2*zeta2*zeta3^2
724 +8*zeta3*zeta5
725 +27/10*[zeta5,3]
730 id HPL(0,1,0,1,1,0,1,0)= (
731 -3889/4200*zeta2^4
732 -3*zeta2*zeta3^2
733 +11*zeta3*zeta5
738 id HPL(0,1,0,1,1,0,1,1)= (
739 -1187/875*zeta2^4
740 -9/2*zeta2*zeta3^2
741 +33/2*zeta3*zeta5
742 +13/10*[zeta5,3]
747 id HPL(0,1,0,1,1,1,0,0)= (
748 +6611/21000*zeta2^4
749 +3/2*zeta2*zeta3^2
750 -9/2*zeta3*zeta5
751 -21/10*[zeta5,3]
756 id HPL(0,1,0,1,1,1,0,1)= (
757 +944/525*zeta2^4
758 +5*zeta2*zeta3^2
759 -20*zeta3*zeta5
760 -4*[zeta5,3]
765 id HPL(0,1,0,1,1,1,1,0)= (
766 -997/875*zeta2^4
767 -5/2*zeta2*zeta3^2
768 +23/2*zeta3*zeta5
769 +3/10*[zeta5,3]
774 id HPL(0,1,0,1,1,1,1,1)= (
775 -42/125*zeta2^4
776 +2*zeta3*zeta5
777 -2/5*[zeta5,3]
782 id HPL(0,1,1,0,0,0,0,0)= (
783 +58/125*zeta2^4
784 -4*zeta3*zeta5
785 -2/5*[zeta5,3]
790 id HPL(0,1,1,0,0,0,0,1)= (
791 +283/525*zeta2^4
792 +zeta2*zeta3^2
793 -11/2*zeta3*zeta5
794 -[zeta5,3]
799 id HPL(0,1,1,0,0,0,1,0)= (
800 -841/2625*zeta2^4
801 +zeta2*zeta3^2
802 +2*zeta3*zeta5
803 +9/5*[zeta5,3]
808 id HPL(0,1,1,0,0,0,1,1)= (
809 +3043/4200*zeta2^4
810 +2*zeta2*zeta3^2
811 -8*zeta3*zeta5
812 -3/2*[zeta5,3]
817 id HPL(0,1,1,0,0,1,0,0)= (
818 +428/875*zeta2^4
819 -1/2*zeta2*zeta3^2
820 -11/2*zeta3*zeta5
821 -17/10*[zeta5,3]
826 id HPL(0,1,1,0,0,1,0,1)= (
827 -6159/7000*zeta2^4
828 -3/2*zeta2*zeta3^2
829 +8*zeta3*zeta5
830 +27/10*[zeta5,3]
835 id HPL(0,1,1,0,0,1,1,0)= (
836 +17/280*zeta2^4
837 -1/2*zeta3*zeta5
842 id HPL(0,1,1,0,0,1,1,1)= (
843 -142/525*zeta2^4
844 -1/2*zeta2*zeta3^2
845 +5/2*zeta3*zeta5
846 +[zeta5,3]
851 id HPL(0,1,1,0,1,0,0,0)= (
852 +4483/2625*zeta2^4
853 +zeta2*zeta3^2
854 -9*zeta3*zeta5
855 -2/5*[zeta5,3]
860 id HPL(0,1,1,0,1,0,0,1)= (
861 +12713/7000*zeta2^4
862 +4*zeta2*zeta3^2
863 -18*zeta3*zeta5
864 -27/5*[zeta5,3]
869 id HPL(0,1,1,0,1,0,1,0)= (
870 +5849/7000*zeta2^4
871 +4*zeta2*zeta3^2
872 -13*zeta3*zeta5
873 +9/5*[zeta5,3]
878 id HPL(0,1,1,0,1,0,1,1)= (
879 +56/25*zeta2^4
880 +6*zeta2*zeta3^2
881 -49/2*zeta3*zeta5
882 -4*[zeta5,3]
887 id HPL(0,1,1,0,1,1,0,0)= (
888 -9757/21000*zeta2^4
889 -1/2*zeta2*zeta3^2
890 +4*zeta3*zeta5
891 +27/10*[zeta5,3]
896 id HPL(0,1,1,0,1,1,0,1)= (
897 -793/875*zeta2^4
898 -2*zeta2*zeta3^2
899 +9*zeta3*zeta5
900 +27/10*[zeta5,3]
905 id HPL(0,1,1,0,1,1,1,0)= (
906 +47/105*zeta2^4
907 +zeta2*zeta3^2
908 -9/2*zeta3*zeta5
909 +5/2*[zeta5,3]
914 id HPL(0,1,1,0,1,1,1,1)= (
915 +[zeta5,3]
920 id HPL(0,1,1,1,0,0,0,0)= (
921 -96/125*zeta2^4
922 -1/2*zeta2*zeta3^2
923 +9/2*zeta3*zeta5
924 +3/10*[zeta5,3]
929 id HPL(0,1,1,1,0,0,0,1)= (
930 -3457/4200*zeta2^4
931 -2*zeta2*zeta3^2
932 +9*zeta3*zeta5
933 +3*[zeta5,3]
938 id HPL(0,1,1,1,0,0,1,0)= (
939 +1763/21000*zeta2^4
940 -1/2*zeta2*zeta3^2
941 -zeta3*zeta5
942 -33/10*[zeta5,3]
947 id HPL(0,1,1,1,0,0,1,1)= (
948 -241/525*zeta2^4
949 -3/2*zeta2*zeta3^2
950 +11/2*zeta3*zeta5
955 id HPL(0,1,1,1,0,1,0,0)= (
956 -4573/21000*zeta2^4
957 -2*zeta2*zeta3^2
958 +7*zeta3*zeta5
959 +3/10*[zeta5,3]
964 id HPL(0,1,1,1,0,1,0,1)= (
965 -803/875*zeta2^4
966 -2*zeta2*zeta3^2
967 +9*zeta3*zeta5
968 +11/5*[zeta5,3]
973 id HPL(0,1,1,1,0,1,1,0)= (
974 -2/7*zeta2^4
975 -1/2*zeta2*zeta3^2
976 +3*zeta3*zeta5
977 -5/2*[zeta5,3]
982 id HPL(0,1,1,1,0,1,1,1)= (
983 +2/175*zeta2^4
988 id HPL(0,1,1,1,1,0,0,0)= (
989 +881/7000*zeta2^4
990 +zeta2*zeta3^2
991 -7/2*zeta3*zeta5
992 -3/10*[zeta5,3]
997 id HPL(0,1,1,1,1,0,0,1)= (
998 +283/525*zeta2^4
999 +zeta2*zeta3^2
1000 -11/2*zeta3*zeta5
1001 -[zeta5,3]
1006 id HPL(0,1,1,1,1,0,1,0)= (
1007 +208/375*zeta2^4
1008 +zeta2*zeta3^2
1009 -4*zeta3*zeta5
1010 -3/10*[zeta5,3]
1015 id HPL(0,1,1,1,1,0,1,1)= (
1016 -24/175*zeta2^4
1017 +zeta3*zeta5
1018 -[zeta5,3]
1023 id HPL(0,1,1,1,1,1,0,0)= (
1024 -281/875*zeta2^4
1025 -1/2*zeta2*zeta3^2
1026 +2*zeta3*zeta5
1027 +2/5*[zeta5,3]
1032 id HPL(0,1,1,1,1,1,0,1)= (
1033 +374/875*zeta2^4
1034 -2*zeta3*zeta5
1035 +2/5*[zeta5,3]
1040 id HPL(0,1,1,1,1,1,1,0)= (
1041 -54/175*zeta2^4
1042 +zeta3*zeta5
1047 id HPL(0,1,1,1,1,1,1,1)= (
1048 -24/175*zeta2^4
1053 id HPL(1,0,0,0,0,0,0,0)= (
1054 +24/175*zeta2^4
1059 id HPL(1,0,0,0,0,0,0,1)= (
1060 -54/175*zeta2^4
1061 +zeta3*zeta5
1066 id HPL(1,0,0,0,0,0,1,0)= (
1067 +178/125*zeta2^4
1068 -4*zeta3*zeta5
1069 -2/5*[zeta5,3]
1074 id HPL(1,0,0,0,0,0,1,1)= (
1075 +466/875*zeta2^4
1076 +zeta2*zeta3^2
1077 -5*zeta3*zeta5
1078 -2/5*[zeta5,3]
1083 id HPL(1,0,0,0,0,1,0,0)= (
1084 -92/35*zeta2^4
1085 +6*zeta3*zeta5
1086 +[zeta5,3]
1091 id HPL(1,0,0,0,0,1,0,1)= (
1092 -997/875*zeta2^4
1093 -5/2*zeta2*zeta3^2
1094 +23/2*zeta3*zeta5
1095 +3/10*[zeta5,3]
1100 id HPL(1,0,0,0,0,1,1,0)= (
1101 -18/25*zeta2^4
1102 -1/2*zeta2*zeta3^2
1103 +5*zeta3*zeta5
1104 +[zeta5,3]
1109 id HPL(1,0,0,0,0,1,1,1)= (
1110 -4301/7000*zeta2^4
1111 -zeta2*zeta3^2
1112 +11/2*zeta3*zeta5
1113 +3/10*[zeta5,3]
1118 id HPL(1,0,0,0,1,0,0,0)= (
1119 +426/175*zeta2^4
1120 -4*zeta3*zeta5
1125 id HPL(1,0,0,0,1,0,0,1)= (
1126 +47/105*zeta2^4
1127 +zeta2*zeta3^2
1128 -9/2*zeta3*zeta5
1129 +5/2*[zeta5,3]
1134 id HPL(1,0,0,0,1,0,1,0)= (
1135 +4894/2625*zeta2^4
1136 +3*zeta2*zeta3^2
1137 -17*zeta3*zeta5
1138 -11/5*[zeta5,3]
1143 id HPL(1,0,0,0,1,0,1,1)= (
1144 +11651/7000*zeta2^4
1145 +3*zeta2*zeta3^2
1146 -31/2*zeta3*zeta5
1147 -3/10*[zeta5,3]
1152 id HPL(1,0,0,0,1,1,0,0)= (
1153 +44/105*zeta2^4
1154 -2*zeta3*zeta5
1159 id HPL(1,0,0,0,1,1,0,1)= (
1160 -31343/21000*zeta2^4
1161 -3/2*zeta2*zeta3^2
1162 +23/2*zeta3*zeta5
1163 +33/10*[zeta5,3]
1168 id HPL(1,0,0,0,1,1,1,0)= (
1169 +2703/1400*zeta2^4
1170 +2*zeta2*zeta3^2
1171 -15*zeta3*zeta5
1172 -3*[zeta5,3]
1177 id HPL(1,0,0,0,1,1,1,1)= (
1178 +822/875*zeta2^4
1179 -11/2*zeta3*zeta5
1180 -3/10*[zeta5,3]
1185 id HPL(1,0,0,1,0,0,0,0)= (
1186 -8/7*zeta2^4
1187 +zeta3*zeta5
1188 -[zeta5,3]
1193 id HPL(1,0,0,1,0,0,0,1)= (
1194 -2/7*zeta2^4
1195 -1/2*zeta2*zeta3^2
1196 +3*zeta3*zeta5
1197 -5/2*[zeta5,3]
1202 id HPL(1,0,0,1,0,0,1,0)= (
1203 +368/875*zeta2^4
1204 +1/2*zeta2*zeta3^2
1205 -9/2*zeta3*zeta5
1206 -27/10*[zeta5,3]
1211 id HPL(1,0,0,1,0,0,1,1)= (
1212 +69/7000*zeta2^4
1213 -27/10*[zeta5,3]
1218 id HPL(1,0,0,1,0,1,0,0)= (
1219 -487/175*zeta2^4
1220 -4*zeta2*zeta3^2
1221 +51/2*zeta3*zeta5
1222 +4*[zeta5,3]
1227 id HPL(1,0,0,1,0,1,0,1)= (
1228 -997/21000*zeta2^4
1229 -3*zeta2*zeta3^2
1230 +6*zeta3*zeta5
1231 -9/5*[zeta5,3]
1236 id HPL(1,0,0,1,0,1,1,0)= (
1237 -76189/21000*zeta2^4
1238 -3*zeta2*zeta3^2
1239 +27*zeta3*zeta5
1240 +27/5*[zeta5,3]
1245 id HPL(1,0,0,1,0,1,1,1)= (
1246 -1936/875*zeta2^4
1247 +13*zeta3*zeta5
1248 +2/5*[zeta5,3]
1253 id HPL(1,0,0,1,1,0,0,0)= (
1254 +79/175*zeta2^4
1255 +1/2*zeta2*zeta3^2
1256 -9/2*zeta3*zeta5
1257 -[zeta5,3]
1262 id HPL(1,0,0,1,1,0,0,1)= (
1263 +17/280*zeta2^4
1264 -1/2*zeta3*zeta5
1269 id HPL(1,0,0,1,1,0,1,0)= (
1270 +36227/21000*zeta2^4
1271 +3/2*zeta2*zeta3^2
1272 -25/2*zeta3*zeta5
1273 -27/10*[zeta5,3]
1278 id HPL(1,0,0,1,1,0,1,1)= (
1279 -3/875*zeta2^4
1280 +17/10*[zeta5,3]
1285 id HPL(1,0,0,1,1,1,0,0)= (
1286 -719/600*zeta2^4
1287 -3/2*zeta2*zeta3^2
1288 +19/2*zeta3*zeta5
1289 +3/2*[zeta5,3]
1294 id HPL(1,0,0,1,1,1,0,1)= (
1295 +466/2625*zeta2^4
1296 -zeta2*zeta3^2
1297 +zeta3*zeta5
1298 -9/5*[zeta5,3]
1303 id HPL(1,0,0,1,1,1,1,0)= (
1304 -18/25*zeta2^4
1305 -1/2*zeta2*zeta3^2
1306 +5*zeta3*zeta5
1307 +[zeta5,3]
1312 id HPL(1,0,0,1,1,1,1,1)= (
1313 -606/875*zeta2^4
1314 +4*zeta3*zeta5
1315 +2/5*[zeta5,3]
1320 id HPL(1,0,1,0,0,0,0,0)= (
1321 +494/875*zeta2^4
1322 -2*zeta3*zeta5
1323 +2/5*[zeta5,3]
1328 id HPL(1,0,1,0,0,0,0,1)= (
1329 +208/375*zeta2^4
1330 +zeta2*zeta3^2
1331 -4*zeta3*zeta5
1332 -3/10*[zeta5,3]
1337 id HPL(1,0,1,0,0,0,1,0)= (
1338 -383/525*zeta2^4
1339 -zeta2*zeta3^2
1340 +zeta3*zeta5
1341 +4*[zeta5,3]
1346 id HPL(1,0,1,0,0,0,1,1)= (
1347 +179/1000*zeta2^4
1348 +2*zeta2*zeta3^2
1349 -5*zeta3*zeta5
1350 +21/10*[zeta5,3]
1355 id HPL(1,0,1,0,0,1,0,0)= (
1356 +552/875*zeta2^4
1357 +2*zeta2*zeta3^2
1358 +zeta3*zeta5
1359 -13/10*[zeta5,3]
1364 id HPL(1,0,1,0,0,1,0,1)= (
1365 -3889/4200*zeta2^4
1366 -3*zeta2*zeta3^2
1367 +11*zeta3*zeta5
1372 id HPL(1,0,1,0,0,1,1,0)= (
1373 +36227/21000*zeta2^4
1374 +3/2*zeta2*zeta3^2
1375 -25/2*zeta3*zeta5
1376 -27/10*[zeta5,3]
1381 id HPL(1,0,1,0,0,1,1,1)= (
1382 +1478/875*zeta2^4
1383 -2*zeta2*zeta3^2
1384 -6*zeta3*zeta5
1385 -11/5*[zeta5,3]
1390 id HPL(1,0,1,0,1,0,0,0)= (
1391 +1307/875*zeta2^4
1392 +2*zeta2*zeta3^2
1393 -19*zeta3*zeta5
1394 -9/5*[zeta5,3]
1399 id HPL(1,0,1,0,1,0,0,1)= (
1400 +5849/7000*zeta2^4
1401 +4*zeta2*zeta3^2
1402 -13*zeta3*zeta5
1403 +9/5*[zeta5,3]
1408 id HPL(1,0,1,0,1,0,1,0)= (
1409 +381/1400*zeta2^4
1410 +4*zeta2*zeta3^2
1411 -8*zeta3*zeta5
1416 id HPL(1,0,1,0,1,0,1,1)= (
1417 +24/25*zeta2^4
1418 +6*zeta2*zeta3^2
1419 -17*zeta3*zeta5
1424 id HPL(1,0,1,0,1,1,0,0)= (
1425 +37603/21000*zeta2^4
1426 +zeta2*zeta3^2
1427 -27/2*zeta3*zeta5
1428 -9/5*[zeta5,3]
1433 id HPL(1,0,1,0,1,1,0,1)= (
1434 -152/175*zeta2^4
1435 -2*zeta2*zeta3^2
1436 +9*zeta3*zeta5
1437 +4*[zeta5,3]
1442 id HPL(1,0,1,0,1,1,1,0)= (
1443 +4894/2625*zeta2^4
1444 +3*zeta2*zeta3^2
1445 -17*zeta3*zeta5
1446 -11/5*[zeta5,3]
1451 id HPL(1,0,1,0,1,1,1,1)= (
1452 +42/25*zeta2^4
1453 -10*zeta3*zeta5
1458 id HPL(1,0,1,1,0,0,0,0)= (
1459 -293/2625*zeta2^4
1460 -zeta2*zeta3^2
1461 +9/2*zeta3*zeta5
1462 +2/5*[zeta5,3]
1467 id HPL(1,0,1,1,0,0,0,1)= (
1468 +1763/21000*zeta2^4
1469 -1/2*zeta2*zeta3^2
1470 -zeta3*zeta5
1471 -33/10*[zeta5,3]
1476 id HPL(1,0,1,1,0,0,1,0)= (
1477 -329/1000*zeta2^4
1478 -zeta2*zeta3^2
1479 +9*zeta3*zeta5
1480 +27/5*[zeta5,3]
1485 id HPL(1,0,1,1,0,0,1,1)= (
1486 -9/175*zeta2^4
1487 +1/2*zeta3*zeta5
1488 +[zeta5,3]
1493 id HPL(1,0,1,1,0,1,0,0)= (
1494 -22453/21000*zeta2^4
1495 -zeta2*zeta3^2
1496 +2*zeta3*zeta5
1497 -27/10*[zeta5,3]
1502 id HPL(1,0,1,1,0,1,0,1)= (
1503 +3/35*zeta2^4
1504 -2*zeta2*zeta3^2
1505 +4*zeta3*zeta5
1506 -4*[zeta5,3]
1511 id HPL(1,0,1,1,0,1,1,0)= (
1512 +368/875*zeta2^4
1513 +1/2*zeta2*zeta3^2
1514 -9/2*zeta3*zeta5
1515 -27/10*[zeta5,3]
1520 id HPL(1,0,1,1,0,1,1,1)= (
1521 -6/175*zeta2^4
1522 -4*[zeta5,3]
1527 id HPL(1,0,1,1,1,0,0,0)= (
1528 +9523/21000*zeta2^4
1529 +1/2*zeta2*zeta3^2
1530 -zeta3*zeta5
1531 +6/5*[zeta5,3]
1536 id HPL(1,0,1,1,1,0,0,1)= (
1537 -841/2625*zeta2^4
1538 +zeta2*zeta3^2
1539 +2*zeta3*zeta5
1540 +9/5*[zeta5,3]
1545 id HPL(1,0,1,1,1,0,1,0)= (
1546 -383/525*zeta2^4
1547 -zeta2*zeta3^2
1548 +zeta3*zeta5
1549 +4*[zeta5,3]
1554 id HPL(1,0,1,1,1,0,1,1)= (
1555 +18/35*zeta2^4
1556 -4*zeta3*zeta5
1557 +4*[zeta5,3]
1562 id HPL(1,0,1,1,1,1,0,0)= (
1563 +64/125*zeta2^4
1564 +1/2*zeta2*zeta3^2
1565 -1/2*zeta3*zeta5
1566 -7/10*[zeta5,3]
1571 id HPL(1,0,1,1,1,1,0,1)= (
1572 -326/175*zeta2^4
1573 +8*zeta3*zeta5
1578 id HPL(1,0,1,1,1,1,1,0)= (
1579 +178/125*zeta2^4
1580 -4*zeta3*zeta5
1581 -2/5*[zeta5,3]
1586 id HPL(1,0,1,1,1,1,1,1)= (
1587 +24/25*zeta2^4
1592 id HPL(1,1,0,0,0,0,0,0)= (
1593 -6/35*zeta2^4
1594 +zeta3*zeta5
1599 id HPL(1,1,0,0,0,0,0,1)= (
1600 -281/875*zeta2^4
1601 -1/2*zeta2*zeta3^2
1602 +2*zeta3*zeta5
1603 +2/5*[zeta5,3]
1608 id HPL(1,1,0,0,0,0,1,0)= (
1609 +64/125*zeta2^4
1610 +1/2*zeta2*zeta3^2
1611 -1/2*zeta3*zeta5
1612 -7/10*[zeta5,3]
1617 id HPL(1,1,0,0,0,0,1,1)= (
1618 -1/200*zeta2^4
1619 -zeta2*zeta3^2
1620 +2*zeta3*zeta5
1625 id HPL(1,1,0,0,0,1,0,0)= (
1626 -262/525*zeta2^4
1627 -zeta2*zeta3^2
1628 -1/2*zeta3*zeta5
1629 -3/2*[zeta5,3]
1634 id HPL(1,1,0,0,0,1,0,1)= (
1635 +6611/21000*zeta2^4
1636 +3/2*zeta2*zeta3^2
1637 -9/2*zeta3*zeta5
1638 -21/10*[zeta5,3]
1643 id HPL(1,1,0,0,0,1,1,0)= (
1644 -719/600*zeta2^4
1645 -3/2*zeta2*zeta3^2
1646 +19/2*zeta3*zeta5
1647 +3/2*[zeta5,3]
1652 id HPL(1,1,0,0,0,1,1,1)= (
1653 -283/175*zeta2^4
1654 +zeta2*zeta3^2
1655 +15/2*zeta3*zeta5
1656 +3/2*[zeta5,3]
1661 id HPL(1,1,0,0,1,0,0,0)= (
1662 +22/175*zeta2^4
1663 +1/2*zeta2*zeta3^2
1664 +2*zeta3*zeta5
1665 +5/2*[zeta5,3]
1670 id HPL(1,1,0,0,1,0,0,1)= (
1671 -9757/21000*zeta2^4
1672 -1/2*zeta2*zeta3^2
1673 +4*zeta3*zeta5
1674 +27/10*[zeta5,3]
1679 id HPL(1,1,0,0,1,0,1,0)= (
1680 +37603/21000*zeta2^4
1681 +zeta2*zeta3^2
1682 -27/2*zeta3*zeta5
1683 -9/5*[zeta5,3]
1688 id HPL(1,1,0,0,1,0,1,1)= (
1689 +2487/875*zeta2^4
1690 -3*zeta2*zeta3^2
1691 -11*zeta3*zeta5
1692 -23/10*[zeta5,3]
1697 id HPL(1,1,0,0,1,1,0,0)= (
1698 +13/1400*zeta2^4
1699 +zeta2*zeta3^2
1700 -zeta3*zeta5
1705 id HPL(1,1,0,0,1,1,0,1)= (
1706 +6/35*zeta2^4
1707 +5/2*zeta2*zeta3^2
1708 -6*zeta3*zeta5
1709 -[zeta5,3]
1714 id HPL(1,1,0,0,1,1,1,0)= (
1715 +44/105*zeta2^4
1716 -2*zeta3*zeta5
1721 id HPL(1,1,0,0,1,1,1,1)= (
1722 +156/175*zeta2^4
1723 -5*zeta3*zeta5
1724 -[zeta5,3]
1729 id HPL(1,1,0,1,0,0,0,0)= (
1730 -2266/2625*zeta2^4
1731 -zeta2*zeta3^2
1732 +6*zeta3*zeta5
1733 -7/10*[zeta5,3]
1738 id HPL(1,1,0,1,0,0,0,1)= (
1739 -4573/21000*zeta2^4
1740 -2*zeta2*zeta3^2
1741 +7*zeta3*zeta5
1742 +3/10*[zeta5,3]
1747 id HPL(1,1,0,1,0,0,1,0)= (
1748 -22453/21000*zeta2^4
1749 -zeta2*zeta3^2
1750 +2*zeta3*zeta5
1751 -27/10*[zeta5,3]
1756 id HPL(1,1,0,1,0,0,1,1)= (
1757 -2592/875*zeta2^4
1758 +17*zeta3*zeta5
1759 +23/10*[zeta5,3]
1764 id HPL(1,1,0,1,0,1,0,0)= (
1765 -8927/7000*zeta2^4
1766 -4*zeta2*zeta3^2
1767 +22*zeta3*zeta5
1768 +18/5*[zeta5,3]
1773 id HPL(1,1,0,1,0,1,0,1)= (
1774 -31/175*zeta2^4
1775 -2*zeta2*zeta3^2
1776 +4*zeta3*zeta5
1781 id HPL(1,1,0,1,0,1,1,0)= (
1782 -487/175*zeta2^4
1783 -4*zeta2*zeta3^2
1784 +51/2*zeta3*zeta5
1785 +4*[zeta5,3]
1790 id HPL(1,1,0,1,0,1,1,1)= (
1791 -582/175*zeta2^4
1792 +20*zeta3*zeta5
1793 +4*[zeta5,3]
1798 id HPL(1,1,0,1,1,0,0,0)= (
1799 -97/4200*zeta2^4
1800 +1/2*zeta2*zeta3^2
1801 -7/2*zeta3*zeta5
1802 -3/2*[zeta5,3]
1807 id HPL(1,1,0,1,1,0,0,1)= (
1808 +428/875*zeta2^4
1809 -1/2*zeta2*zeta3^2
1810 -11/2*zeta3*zeta5
1811 -17/10*[zeta5,3]
1816 id HPL(1,1,0,1,1,0,1,0)= (
1817 +552/875*zeta2^4
1818 +2*zeta2*zeta3^2
1819 +zeta3*zeta5
1820 -13/10*[zeta5,3]
1825 id HPL(1,1,0,1,1,0,1,1)= (
1826 -18/25*zeta2^4
1827 +6*zeta3*zeta5
1832 id HPL(1,1,0,1,1,1,0,0)= (
1833 -262/525*zeta2^4
1834 -zeta2*zeta3^2
1835 -1/2*zeta3*zeta5
1836 -3/2*[zeta5,3]
1841 id HPL(1,1,0,1,1,1,0,1)= (
1842 +562/175*zeta2^4
1843 -12*zeta3*zeta5
1844 -4*[zeta5,3]
1849 id HPL(1,1,0,1,1,1,1,0)= (
1850 -92/35*zeta2^4
1851 +6*zeta3*zeta5
1852 +[zeta5,3]
1857 id HPL(1,1,0,1,1,1,1,1)= (
1858 -72/25*zeta2^4
1863 id HPL(1,1,1,0,0,0,0,0)= (
1864 +61/175*zeta2^4
1865 +1/2*zeta2*zeta3^2
1866 -3*zeta3*zeta5
1871 id HPL(1,1,1,0,0,0,0,1)= (
1872 +881/7000*zeta2^4
1873 +zeta2*zeta3^2
1874 -7/2*zeta3*zeta5
1875 -3/10*[zeta5,3]
1880 id HPL(1,1,1,0,0,0,1,0)= (
1881 +9523/21000*zeta2^4
1882 +1/2*zeta2*zeta3^2
1883 -zeta3*zeta5
1884 +6/5*[zeta5,3]
1889 id HPL(1,1,1,0,0,0,1,1)= (
1890 +58/35*zeta2^4
1891 -19/2*zeta3*zeta5
1892 -3/2*[zeta5,3]
1897 id HPL(1,1,1,0,0,1,0,0)= (
1898 -97/4200*zeta2^4
1899 +1/2*zeta2*zeta3^2
1900 -7/2*zeta3*zeta5
1901 -3/2*[zeta5,3]
1906 id HPL(1,1,1,0,0,1,0,1)= (
1907 -5119/2625*zeta2^4
1908 +zeta2*zeta3^2
1909 +10*zeta3*zeta5
1910 +11/5*[zeta5,3]
1915 id HPL(1,1,1,0,0,1,1,0)= (
1916 +79/175*zeta2^4
1917 +1/2*zeta2*zeta3^2
1918 -9/2*zeta3*zeta5
1919 -[zeta5,3]
1924 id HPL(1,1,1,0,0,1,1,1)= (
1925 -2/25*zeta2^4
1930 id HPL(1,1,1,0,1,0,0,0)= (
1931 +18259/21000*zeta2^4
1932 +2*zeta2*zeta3^2
1933 -8*zeta3*zeta5
1934 +3/5*[zeta5,3]
1939 id HPL(1,1,1,0,1,0,0,1)= (
1940 +4483/2625*zeta2^4
1941 +zeta2*zeta3^2
1942 -9*zeta3*zeta5
1943 -2/5*[zeta5,3]
1948 id HPL(1,1,1,0,1,0,1,0)= (
1949 +1307/875*zeta2^4
1950 +2*zeta2*zeta3^2
1951 -19*zeta3*zeta5
1952 -9/5*[zeta5,3]
1957 id HPL(1,1,1,0,1,0,1,1)= (
1958 +666/175*zeta2^4
1959 -24*zeta3*zeta5
1960 -4*[zeta5,3]
1965 id HPL(1,1,1,0,1,1,0,0)= (
1966 +22/175*zeta2^4
1967 +1/2*zeta2*zeta3^2
1968 +2*zeta3*zeta5
1969 +5/2*[zeta5,3]
1974 id HPL(1,1,1,0,1,1,0,1)= (
1975 -478/175*zeta2^4
1976 +8*zeta3*zeta5
1977 +4*[zeta5,3]
1982 id HPL(1,1,1,0,1,1,1,0)= (
1983 +426/175*zeta2^4
1984 -4*zeta3*zeta5
1989 id HPL(1,1,1,0,1,1,1,1)= (
1990 +24/5*zeta2^4
1995 id HPL(1,1,1,1,0,0,0,0)= (
1996 -499/1400*zeta2^4
1997 -zeta2*zeta3^2
1998 +4*zeta3*zeta5
2003 id HPL(1,1,1,1,0,0,0,1)= (
2004 -96/125*zeta2^4
2005 -1/2*zeta2*zeta3^2
2006 +9/2*zeta3*zeta5
2007 +3/10*[zeta5,3]
2012 id HPL(1,1,1,1,0,0,1,0)= (
2013 -293/2625*zeta2^4
2014 -zeta2*zeta3^2
2015 +9/2*zeta3*zeta5
2016 +2/5*[zeta5,3]
2021 id HPL(1,1,1,1,0,0,1,1)= (
2022 -156/175*zeta2^4
2023 +6*zeta3*zeta5
2024 +[zeta5,3]
2029 id HPL(1,1,1,1,0,1,0,0)= (
2030 -2266/2625*zeta2^4
2031 -zeta2*zeta3^2
2032 +6*zeta3*zeta5
2033 -7/10*[zeta5,3]
2038 id HPL(1,1,1,1,0,1,0,1)= (
2039 -94/175*zeta2^4
2040 +8*zeta3*zeta5
2045 id HPL(1,1,1,1,0,1,1,0)= (
2046 -8/7*zeta2^4
2047 +zeta3*zeta5
2048 -[zeta5,3]
2053 id HPL(1,1,1,1,0,1,1,1)= (
2054 -24/5*zeta2^4
2059 id HPL(1,1,1,1,1,0,0,0)= (
2060 +61/175*zeta2^4
2061 +1/2*zeta2*zeta3^2
2062 -3*zeta3*zeta5
2067 id HPL(1,1,1,1,1,0,0,1)= (
2068 +58/125*zeta2^4
2069 -4*zeta3*zeta5
2070 -2/5*[zeta5,3]
2075 id HPL(1,1,1,1,1,0,1,0)= (
2076 +494/875*zeta2^4
2077 -2*zeta3*zeta5
2078 +2/5*[zeta5,3]
2083 id HPL(1,1,1,1,1,0,1,1)= (
2084 +72/25*zeta2^4
2089 id HPL(1,1,1,1,1,1,0,0)= (
2090 -6/35*zeta2^4
2091 +zeta3*zeta5
2096 id HPL(1,1,1,1,1,1,0,1)= (
2097 -24/25*zeta2^4
2102 id HPL(1,1,1,1,1,1,1,0)= (
2103 +24/175*zeta2^4