Asymptotic and Numerical Methods in Estimating Eigenvalues

Table 2

𝑛	𝑃^2𝑛(𝑠)	𝑝^0𝑛(𝑠)	𝑝^1𝑛(𝑠)	𝑝^2𝑛(𝑠)	∑^2𝑘=0𝑝^𝑘𝑛(𝑠)	|𝑝^2𝑛(𝑠)−∑^2𝑘=0𝑝^𝑘𝑛(𝑠)|
1	6,853010948	1,507680075	3,819522987	1,507680075	6,834883138	0,018127810
2	5,436436039	1,649044169	2,135885787	1,649044169	5,433974124	0,002461915
3	6,833127542	1,712792234	3,412323071	1,712792234	6,837907540	0,004779998
4	5,833596917	1,750983257	2,332560213	1,750983257	5,834526726	0,000929810
5	6,821354115	1,777106646	3,269640370	1,777106646	6,823853662	0,002499546
6	6,014222685	1,796412736	2,422163800	1,796412736	6,014989272	0,000766587
7	6,817074514	1,811422205	3,195628783	1,811422205	6,818473194	0,001398680
8	6,122590551	1,823514738	2,476005854	1,823514738	6,123035330	0,000444779
9	6,814993899	1,833516325	3,148677685	1,833516325	6,815710336	0,000716437
10	6,196675434	1,841954226	2,512821873	1,841954226	6,196730326	0,000054891
20	6,378247333	1,885045278	2,601825385	1,885045278	6,371915940	0,006331392