COMPUTATIONAL PROBLEMS IN ABSTRACT ALGEBRA.
COMPUTATIONAL PROBLEMS IN ABSTRACT ALGEBRA.
COMPUTATIONAL PROBLEMS IN ABSTRACT ALGEBRA.
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10 crossing alternating knots. Basic polyhedron l*<br />
T knot s 60 A<br />
123 5, 3,2 r 31 [-5+5-4+3-i<br />
116 5,21,2<br />
r 4 1 [7-7+6-3$-l<br />
36 41,3,2<br />
r 49 [ll-9+6-3+1<br />
70 41,21,2<br />
r 59 I-13+12-8+3<br />
75 3 2, 3,2<br />
r 53 [13-11+7-2<br />
18 32,21,2<br />
r 67 r-19+15-7+2<br />
109 3 1 1,3,2<br />
r 59 L-15+13-7+2<br />
57 3 11,21,2<br />
Y 73 [25-18+6<br />
103 23,3,2<br />
r 47 [-ll+lO-6+2<br />
50 23,21,2<br />
r 61 [21-15+5<br />
64 221,3,2<br />
r 65 [17-14+8-2<br />
5 221,21,2<br />
r 79 [-23+18-8+2<br />
47 22,22,2<br />
r 65 [27-16+3<br />
42 22,21,1,2<br />
r 75 I-23+18-7+1<br />
39 211,211,2<br />
r 85 [29-20+7-l<br />
118 4,3,3<br />
r 33 [7-6+5-2<br />
115 4,3,21<br />
r 45 [9-8+6-3+1<br />
69 4,21,21<br />
r 57 r19-14+5<br />
100 31,3,3<br />
r 51 [-11+10-6+3-l<br />
23 31,321<br />
r 63 L-17+14-7+2<br />
56 31,21,21 r 75 r--19+16-9+3<br />
63 22,3,2 1<br />
n 63 L-23+16-4<br />
114 2 1 1,3,3 r 57 [21-14+4<br />
2 211,21,21 r 87 r-29+21-7+1<br />
53 22,3,2+<br />
r 67 r-19+16-7+1<br />
7 22,21,2+<br />
r 77 [25-18+7-l<br />
55 21 1,3,2+ r 73 [19-16+9-2<br />
4 211,21,2+ r 83 [-27+20-7+1<br />
72 3,3,21+<br />
r 63 l-23+16-4<br />
40 21,21,21+ r 81 [27-19+7-l<br />
73 3,3,2++<br />
r 57 [15-12+7-2<br />
19 3,21,2++<br />
r 63 r-17+14-7+2<br />
45 21,21,2++ r 69 [21-16+7-l<br />
35 (3,2) (332) i 61 [15-12+7-3+1<br />
59 (3,2)(21,2)<br />
n 71 r-17+15-9+3<br />
9 (21,2)(21,2) i 75 [27-20+8-l<br />
J. H. Conway Enumeration of knots and links<br />
10 crossing knots<br />
Alternating, basic polyhedron not l*<br />
-<br />
T knot s 60 A<br />
99 .4.2<br />
54 .31.2<br />
6 .22.2<br />
113 .4.20<br />
17 .3 1.20<br />
4 6 .22.20<br />
13 .21.21<br />
12 .21.210<br />
95 .3.3.2<br />
33 .3.2.20<br />
44 .21.2.20<br />
111 .3.20.2<br />
97 .3 0.2.2<br />
8 .210.2.2<br />
8 4 .2.21.2<br />
8 6 .2.210.2<br />
92 .2.2.2.20<br />
31 .2.2.20.20<br />
112 3:2:2<br />
90 21:2:2<br />
98 3:2:20<br />
34 30:2:2<br />
32 3:20:20<br />
83 21:20:20<br />
96 30:2:20<br />
10 210:2:20<br />
110 30:20:20<br />
27 2.2.2.2<br />
89 2.2.2.20<br />
91 2.2.20.2<br />
94 8*3<br />
30 8*2 1<br />
93 8*3 0<br />
29 8*20.20<br />
88 8*2: 2<br />
25 8*2: 20<br />
26 8*2: .2<br />
85 8*2: .20<br />
82 8*20::20<br />
28 9*2 0<br />
87 9*.20<br />
38 lO*<br />
n 63 [-13+12-8+4-l<br />
n 85 [25-19+9-2<br />
n 87 [-25+20-9+2<br />
n 57 [II-10+8-4+1<br />
n 83 r--23+19-9+2<br />
n 81 [23-18+9-2<br />
i 101 [35-24+8-l<br />
r 99 r-33+24-8+1<br />
n 77 [23-17+8-2<br />
n 73 [17-14+9-4+1<br />
n 89 [25-20+10-2<br />
n 67 r-17+15-8+2<br />
n 71 r--15+14-9+4-1<br />
n 91 [-27+21-9+2<br />
r 93 [33-22+7-l<br />
r 87 [-33+22-5<br />
n 81 [23-18+9-2<br />
f 81 [19-16+10-4+1<br />
r 65 [13-12+9-4+1<br />
r 85 [29-21+7<br />
n 73 [21-16+8-2<br />
r 75 r-21+17-8+2<br />
r 77 [19-15+9-4+1<br />
r 91 [-29+22-8+1<br />
n 75 r-17+15-9+4-1<br />
n 93 [31-22+8-l<br />
r 63 [-15+14-8+2<br />
i 85 [21-17+10-4+1<br />
n 83 r-25+20-8+1<br />
r 37 [21-17+9-2<br />
r 87 [-19+17-11+5-l<br />
Y 111<br />
r 93<br />
i 109<br />
r 95<br />
n 103<br />
i 97<br />
n 101<br />
r 105<br />
r 115<br />
r 105<br />
f 121<br />
r-33+26-11+2<br />
[27-21+10-2<br />
[37-26+9-l<br />
[-21+19-12+5-l<br />
r-31+24-10+2<br />
[23-19+12-5+1<br />
[31-23+10-2<br />
[37-26+8<br />
[-35+27-11+2<br />
[31-24+11-2<br />
[29-24+15-6+1<br />
351<br />
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