Primitive roots of unity
The table below gives a primitive 2nth root of unity
and its multiplicative inverse in the field of integers mod
70383776563201 for 0 ≤ n ≤ 30.
Primitive roots of unity
|
n
|
Root
|
Inverse
|
|
0
|
1
|
1
|
|
1
|
70383776563200
|
70383776563200
|
|
2
|
53584494145874
|
16799282417327
|
|
3
|
16491100154340
|
61472623878972
|
|
4
|
8251729855569
|
39229782493121
|
|
5
|
54141260506933
|
50936372324210
|
|
6
|
30827116249773
|
9362651625339
|
|
7
|
11841623934447
|
10452472889196
|
|
8
|
38938666398922
|
9025625771819
|
|
9
|
40119572768059
|
31859598355635
|
|
10
|
13382088273171
|
39040032295658
|
|
11
|
7259789800794
|
65913589151130
|
|
12
|
245247012133
|
24822682898295
|
|
13
|
48959122674900
|
23045662539716
|
|
14
|
2057783853341
|
59786918773100
|
|
15
|
24137967250171
|
39400950333183
|
|
16
|
17560868529348
|
42896716809001
|
|
17
|
54236099443817
|
4828709384135
|
|
18
|
31613430409055
|
15241522851548
|
|
19
|
28568927026433
|
25994160944760
|
|
20
|
11496597192615
|
41535456258163
|
|
21
|
33252378055270
|
41075902423707
|
|
22
|
23600998947234
|
19684530485833
|
|
23
|
22435795378610
|
32566673512488
|
|
24
|
52431065818252
|
48139603138128
|
|
25
|
30551680809588
|
55660679838838
|
|
26
|
26713297315242
|
416502740110
|
|
27
|
22918355618248
|
62354506855284
|
|
28
|
15869278321465
|
16247553611790
|
|
29
|
7423219505696
|
70223437700930
|
|
30
|
31696988370702
|
32091152699528
|
Copyright © Rod Howell, 2001. All rights reserved.
Rod Howell (howell@cis.ksu.edu)
