K14n6132
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Contents
1
Knot presentations
2
Polynomial invariants
3
Modifying This Page
Knot presentations
Dowker-Thistlethwaite code
4 8 -18 2 22 26 20 24 -6 14 28 16 12 10
Notes on presentations of K14n6132
Polynomial invariants
Jones polynomial
Data:K14n6132/Jones Polynomial
Alexander polynomial
4
t
3
−
24
t
2
+
60
t
−
79
+
60
t
−
1
−
24
t
−
2
+
4
t
−
3
{\displaystyle 4t^{3}-24t^{2}+60t-79+60t^{-1}-24t^{-2}+4t^{-3}}
Conway polynomial
Data:K14n6132/Conway Polynomial
Determinant
Data:K14n6132/Determinant
Signature
Data:K14n6132/Signature
HOMFLY-PT polynomial
2
z
6
a
−
4
+
2
z
6
a
−
6
−
4
z
4
a
−
2
+
3
z
4
a
−
4
+
4
z
4
a
−
6
−
3
z
4
a
−
8
−
6
z
2
a
−
2
+
3
z
2
a
−
4
+
5
z
2
a
−
6
−
5
z
2
a
−
8
+
z
2
a
−
10
+
2
z
2
−
3
a
−
2
+
2
a
−
4
+
2
a
−
6
−
3
a
−
8
+
a
−
10
+
2
{\displaystyle 2z^{6}a^{-4}+2z^{6}a^{-6}-4z^{4}a^{-2}+3z^{4}a^{-4}+4z^{4}a^{-6}-3z^{4}a^{-8}-6z^{2}a^{-2}+3z^{2}a^{-4}+5z^{2}a^{-6}-5z^{2}a^{-8}+z^{2}a^{-10}+2z^{2}-3a^{-2}+2a^{-4}+2a^{-6}-3a^{-8}+a^{-10}+2}
Kauffman polynomial
2
z
12
$
F
a
i
l
e
d
−
1
+
2
z
12
$
F
a
i
l
e
d
−
1
+
7
z
11
$
F
a
i
l
e
d
−
1
+
13
z
11
$
F
a
i
l
e
d
−
1
+
6
z
11
$
F
a
i
l
e
d
−
1
+
10
z
10
$
F
a
i
l
e
d
−
1
+
16
z
10
$
F
a
i
l
e
d
−
1
+
13
z
10
$
F
a
i
l
e
d
−
1
+
7
z
10
$
F
a
i
l
e
d
−
1
+
9
z
9
$
F
a
i
l
e
d
−
1
−
5
z
9
$
F
a
i
l
e
d
−
1
−
29
z
9
$
F
a
i
l
e
d
−
1
−
11
z
9
$
F
a
i
l
e
d
−
1
+
4
z
9
$
F
a
i
l
e
d
−
1
+
5
z
8
$
F
a
i
l
e
d
−
1
−
17
z
8
$
F
a
i
l
e
d
−
1
−
60
z
8
$
F
a
i
l
e
d
−
1
−
64
z
8
$
F
a
i
l
e
d
−
1
−
25
z
8
$
F
a
i
l
e
d
−
1
+
z
8
$
F
a
i
l
e
d
−
1
+
z
7
$
F
a
i
l
e
d
−
1
−
17
z
7
$
F
a
i
l
e
d
−
1
−
14
z
7
$
F
a
i
l
e
d
−
1
+
3
z
7
$
F
a
i
l
e
d
−
1
−
17
z
7
$
F
a
i
l
e
d
−
1
−
16
z
7
$
F
a
i
l
e
d
−
1
−
7
z
6
$
F
a
i
l
e
d
−
1
+
7
z
6
$
F
a
i
l
e
d
−
1
+
68
z
6
$
F
a
i
l
e
d
−
1
+
84
z
6
$
F
a
i
l
e
d
−
1
+
26
z
6
$
F
a
i
l
e
d
−
1
−
4
z
6
$
F
a
i
l
e
d
−
1
+
5
z
5
$
F
a
i
l
e
d
−
1
+
21
z
5
$
F
a
i
l
e
d
−
1
+
13
z
5
$
F
a
i
l
e
d
−
1
+
18
z
5
$
F
a
i
l
e
d
−
1
+
42
z
5
$
F
a
i
l
e
d
−
1
+
21
z
5
$
F
a
i
l
e
d
−
1
+
17
z
4
$
F
a
i
l
e
d
−
1
+
11
z
4
$
F
a
i
l
e
d
−
1
−
45
z
4
$
F
a
i
l
e
d
−
1
−
56
z
4
$
F
a
i
l
e
d
−
1
−
9
z
4
$
F
a
i
l
e
d
−
1
+
5
z
4
$
F
a
i
l
e
d
−
1
+
3
z
4
−
6
z
3
$
F
a
i
l
e
d
−
1
−
6
z
3
$
F
a
i
l
e
d
−
1
−
z
3
$
F
a
i
l
e
d
−
1
−
17
z
3
$
F
a
i
l
e
d
−
1
−
27
z
3
$
F
a
i
l
e
d
−
1
−
11
z
3
$
F
a
i
l
e
d
−
1
−
14
z
2
$
F
a
i
l
e
d
−
1
−
8
z
2
$
F
a
i
l
e
d
−
1
+
14
z
2
$
F
a
i
l
e
d
−
1
+
19
z
2
$
F
a
i
l
e
d
−
1
+
4
z
2
$
F
a
i
l
e
d
−
1
−
2
z
2
$
F
a
i
l
e
d
−
1
−
5
z
2
+
z
$
F
a
i
l
e
d
−
1
+
z
$
F
a
i
l
e
d
−
1
+
4
z
$
F
a
i
l
e
d
−
1
+
7
z
$
F
a
i
l
e
d
−
1
+
3
z
$
F
a
i
l
e
d
−
1
+
3
$
F
a
i
l
e
d
−
1
+
2
$
F
a
i
l
e
d
−
1
−
2
$
F
a
i
l
e
d
−
1
−
3
$
F
a
i
l
e
d
−
1
−
$
F
a
i
l
e
d
−
1
+
2
{\displaystyle 2z^{12}\$Failed^{-1}+2z^{12}\$Failed^{-1}+7z^{11}\$Failed^{-1}+13z^{11}\$Failed^{-1}+6z^{11}\$Failed^{-1}+10z^{10}\$Failed^{-1}+16z^{10}\$Failed^{-1}+13z^{10}\$Failed^{-1}+7z^{10}\$Failed^{-1}+9z^{9}\$Failed^{-1}-5z^{9}\$Failed^{-1}-29z^{9}\$Failed^{-1}-11z^{9}\$Failed^{-1}+4z^{9}\$Failed^{-1}+5z^{8}\$Failed^{-1}-17z^{8}\$Failed^{-1}-60z^{8}\$Failed^{-1}-64z^{8}\$Failed^{-1}-25z^{8}\$Failed^{-1}+z^{8}\$Failed^{-1}+z^{7}\$Failed^{-1}-17z^{7}\$Failed^{-1}-14z^{7}\$Failed^{-1}+3z^{7}\$Failed^{-1}-17z^{7}\$Failed^{-1}-16z^{7}\$Failed^{-1}-7z^{6}\$Failed^{-1}+7z^{6}\$Failed^{-1}+68z^{6}\$Failed^{-1}+84z^{6}\$Failed^{-1}+26z^{6}\$Failed^{-1}-4z^{6}\$Failed^{-1}+5z^{5}\$Failed^{-1}+21z^{5}\$Failed^{-1}+13z^{5}\$Failed^{-1}+18z^{5}\$Failed^{-1}+42z^{5}\$Failed^{-1}+21z^{5}\$Failed^{-1}+17z^{4}\$Failed^{-1}+11z^{4}\$Failed^{-1}-45z^{4}\$Failed^{-1}-56z^{4}\$Failed^{-1}-9z^{4}\$Failed^{-1}+5z^{4}\$Failed^{-1}+3z^{4}-6z^{3}\$Failed^{-1}-6z^{3}\$Failed^{-1}-z^{3}\$Failed^{-1}-17z^{3}\$Failed^{-1}-27z^{3}\$Failed^{-1}-11z^{3}\$Failed^{-1}-14z^{2}\$Failed^{-1}-8z^{2}\$Failed^{-1}+14z^{2}\$Failed^{-1}+19z^{2}\$Failed^{-1}+4z^{2}\$Failed^{-1}-2z^{2}\$Failed^{-1}-5z^{2}+z\$Failed^{-1}+z\$Failed^{-1}+4z\$Failed^{-1}+7z\$Failed^{-1}+3z\$Failed^{-1}+3\$Failed^{-1}+2\$Failed^{-1}-2\$Failed^{-1}-3\$Failed^{-1}-\$Failed^{-1}+2}
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