3
1
(K3a
1
)
1
Arc Sequences
3 1 2
Solving Sequence
1,2
3
c
2
c
1
, c
3
Representation Ideals
I = I
u
1
I
u
1
= hu + 1i
There are 1 irreducible components with 1 representations.
1
The knot diagram image is adapter from “C. Livingston and A. H. Moore, KnotInfo: Table of Knot
Invariants, http://www.indiana.edu/ knotinfo”
1
I. I
u
1
= hu + 1i
(i) Arc colorings
a
1
=
1
0
a
2
=
0
1
a
3
=
1
1
a
3
=
1
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 6
2
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 1.00000
1.64493 6.00000
3
II. u-Polynomials
Crossings u-Polynomials at each crossings
c
1
, c
2
, c
3
(u + 1)
4
III. Riley Polynomials
Crossings Riley Polynomials at each crossings
c
1
, c
2
, c
3
(y 1)
5