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Table A.4.

Leading 40 terms of the 100-term representation ζ3(t), as expressed in Eq. (31).

No. ⟨k, f⟩ Abs(bk)×106 Arg(bk) (degree)
1 s5 13774 107.587
2 s3 8666 −62.318
3 s4 4647 96.756
4 s1 4085 27.817
5 s2 3312 80.364
6 g3 − g4 + s4 2745 −167.132
7 s2 + 2r2 2041 −44.496
8 s2 + r2 1543 125.410
9 g3 − g4 + s3 1530 −137.669
10 s1 + s3 − s4 − r2 1469 91.798
11 s2 − r2 1450 23.071
12 s1 + r2 1417 −116.942
13 s6 1333 110.029
14 s7 889 9.186
15 s2 + r1 646 −50.277
16 s8 641 26.053
17 s3 − r1 613 −178.905
18 s1 + s3 − s4 532 −177.568
19 s1 − 2r2 518 101.955
20 s3 − r2 484 106.762
21 g3 − g4 + s3 + r1 481 −21.125
22 g3 − g4 + s2 + r1 445 −5.831
23 s2 − s3 + s4 364 72.700
24 s2 − s3 + s4 − r2 344 31.282
25 s2 − r1 341 20.734
26 s2 − 2r2 320 −51.578
27 g3 − g4 + s1 315 −118.127
28 g3 − s1 + s6 + s7 − s8 304 172.667
29 s1 − r1 293 149.314
30 −s4 + s6 − s7 + 2s8 293 −76.858
31 s1 + 2r1 − r2 292 134.167
32 −g3 + s5 + s8 + r1 285 −170.886
33 −g3 + g4 + s2 268 47.758
34 −g3 + g4 + s2 − r2 258 −27.836
35 −g3 + g4 + s4 244 −18.592
36 g4 + s6 − s8 + r1 230 109.121
37 g3 − g4 + s4 − r1 221 −91.732
38 s2 + s5 − s8 − 2r1 217 173.446
39 −g3 + g4 + s2 − r1 198 24.257
40 s1 + 2r1 78 77.412

Notes. The full table is available at the CDS.

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