12a
0189
(K12a
0189
)
A knot diagram
1
Linearized knot diagam
3 5 9 8 2 10 11 1 6 12 7 4
Solving Sequence
2,5 3,9
4 6 10 7 1 8 12 11
c
2
c
3
c
5
c
9
c
6
c
1
c
8
c
12
c
11
c
4
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h9.58442 × 10
202
u
115
− 4.19364 × 10
203
u
114
+ ··· + 1.60073 × 10
204
b + 2.97710 × 10
203
,
7.26221 × 10
203
u
115
− 2.06580 × 10
204
u
114
+ ··· + 8.00367 × 10
203
a − 3.78417 × 10
204
, u
116
− 3u
115
+ ··· + 2u + 1i
I
u
2
= hb + 2u + 2, a + u + 2, u
2
+ u + 1i
I
u
3
= hb − u − 1, a − u − 2, u
2
+ u + 1i
* 3 irreducible components of dim
C
= 0, with total 120 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h9.58 × 10
202
u
115
− 4.19 × 10
203
u
114
+ · · · + 1.60 × 10
204
b + 2.98 ×
10
203
, 7.26 × 10
203
u
115
− 2.07 × 10
204
u
114
+ · · · + 8.00 × 10
203
a − 3.78 ×
10
204
, u
116
− 3u
115
+ · · · + 2u + 1i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
3
=
1
−u
2
a
9
=
−0.907360u
115
+ 2.58106u
114
+ ··· − 44.6961u + 4.72805
−0.0598752u
115
+ 0.261982u
114
+ ··· − 4.69798u − 0.185983
a
4
=
0.373553u
115
− 1.05557u
114
+ ··· + 3.05131u + 4.40925
−0.0574361u
115
+ 0.427091u
114
+ ··· − 0.705757u + 0.556895
a
6
=
u
u
a
10
=
−0.579574u
115
+ 2.08631u
114
+ ··· − 43.4018u + 4.95142
0.267911u
115
− 0.232768u
114
+ ··· − 3.40374u + 0.0373916
a
7
=
−0.347099u
115
+ 0.843729u
114
+ ··· + 0.329330u − 4.71183
−0.978083u
115
+ 2.09051u
114
+ ··· + 2.73850u − 0.265630
a
1
=
u
2
+ 1
−u
4
a
8
=
−0.609059u
115
+ 1.74035u
114
+ ··· − 39.7192u + 4.90364
0.472186u
115
− 1.17053u
114
+ ··· − 5.34613u − 0.562955
a
12
=
0.0341312u
115
− 0.0138481u
114
+ ··· − 4.87772u + 2.57110
0.171988u
115
− 0.197880u
114
+ ··· − 0.274653u + 0.227357
a
11
=
−0.0990931u
115
+ 0.174632u
114
+ ··· − 38.4334u + 4.70463
−1.61684u
115
+ 2.77771u
114
+ ··· − 6.68015u − 0.578114
(ii) Obstruction class = −1
(iii) Cusp Shapes = 2.83036u
115
− 6.91712u
114
+ ··· + 32.6663u − 0.776136
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
116
+ 51u
115
+ ··· + 90u + 1
c
2
, c
5
u
116
+ 3u
115
+ ··· − 2u + 1
c
3
u
116
− 56u
114
+ ··· − 1192u + 608
c
4
u
116
+ 2u
115
+ ··· − 20233u − 2189
c
6
, c
9
u
116
+ 3u
115
+ ··· + 493u + 578
c
7
, c
11
u
116
− 3u
115
+ ··· − 8u + 1
c
8
u
116
− 3u
115
+ ··· − 2u + 1
c
10
u
116
+ 63u
115
+ ··· − 2u + 1
c
12
u
116
+ 11u
115
+ ··· + 48u + 16
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
116
+ 31y
115
+ ··· + 9626y + 1
c
2
, c
5
y
116
+ 51y
115
+ ··· + 90y + 1
c
3
y
116
− 112y
115
+ ··· + 12874432y + 369664
c
4
y
116
− 140y
115
+ ··· − 610858605y + 4791721
c
6
, c
9
y
116
− 97y
115
+ ··· + 5595907y + 334084
c
7
, c
11
y
116
+ 63y
115
+ ··· − 2y + 1
c
8
y
116
− 9y
115
+ ··· − 2y + 1
c
10
y
116
− 17y
115
+ ··· + 154y + 1
c
12
y
116
+ 25y
115
+ ··· + 7552y + 256
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.999176 + 0.073817I
a = −1.158200 + 0.036546I
b = 0.186255 − 0.167090I
−2.03780 + 4.18277I 0
u = −0.999176 − 0.073817I
a = −1.158200 − 0.036546I
b = 0.186255 + 0.167090I
−2.03780 − 4.18277I 0
u = 0.920845 + 0.376102I
a = 0.83921 − 1.20374I
b = −0.413762 − 0.802174I
−5.71061 − 3.88667I 0
u = 0.920845 − 0.376102I
a = 0.83921 + 1.20374I
b = −0.413762 + 0.802174I
−5.71061 + 3.88667I 0
u = 0.924268 + 0.411448I
a = −0.94680 + 1.15560I
b = 0.460141 + 0.963298I
−1.55371 − 8.03241I 0
u = 0.924268 − 0.411448I
a = −0.94680 − 1.15560I
b = 0.460141 − 0.963298I
−1.55371 + 8.03241I 0
u = 0.421700 + 0.925453I
a = −1.92345 + 0.70480I
b = −0.97816 + 1.68161I
−0.71802 + 4.11793I 0
u = 0.421700 − 0.925453I
a = −1.92345 − 0.70480I
b = −0.97816 − 1.68161I
−0.71802 − 4.11793I 0
u = −0.514672 + 0.835355I
a = −2.38620 − 2.63903I
b = −1.70821 − 2.74409I
−0.071703 − 0.449560I 0
u = −0.514672 − 0.835355I
a = −2.38620 + 2.63903I
b = −1.70821 + 2.74409I
−0.071703 + 0.449560I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.522133 + 0.877863I
a = 2.24240 + 2.97424I
b = 1.90261 + 3.57304I
−0.21332 − 3.74883I 0
u = −0.522133 − 0.877863I
a = 2.24240 − 2.97424I
b = 1.90261 − 3.57304I
−0.21332 + 3.74883I 0
u = 0.839409 + 0.494565I
a = −1.045040 + 0.780335I
b = 0.067833 + 1.333700I
2.46054 − 7.61264I 0
u = 0.839409 − 0.494565I
a = −1.045040 − 0.780335I
b = 0.067833 − 1.333700I
2.46054 + 7.61264I 0
u = −0.878140 + 0.408645I
a = 0.852110 − 0.076165I
b = 0.325025 + 0.552285I
2.68929 + 0.25500I 0
u = −0.878140 − 0.408645I
a = 0.852110 + 0.076165I
b = 0.325025 − 0.552285I
2.68929 − 0.25500I 0
u = 0.948659 + 0.414465I
a = 0.99590 − 1.22076I
b = −0.583121 − 0.960239I
−4.76188 − 12.96690I 0
u = 0.948659 − 0.414465I
a = 0.99590 + 1.22076I
b = −0.583121 + 0.960239I
−4.76188 + 12.96690I 0
u = −0.006481 + 0.960054I
a = 0.396095 − 1.053930I
b = −0.177120 − 0.492167I
−1.96858 − 1.97750I 0
u = −0.006481 − 0.960054I
a = 0.396095 + 1.053930I
b = −0.177120 + 0.492167I
−1.96858 + 1.97750I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.898263 + 0.550730I
a = −0.646075 + 0.173708I
b = −0.505703 − 0.604282I
2.55387 − 3.56596I 0
u = −0.898263 − 0.550730I
a = −0.646075 − 0.173708I
b = −0.505703 + 0.604282I
2.55387 + 3.56596I 0
u = −0.486090 + 0.945475I
a = 1.95773 + 2.14041I
b = 2.41861 + 3.20916I
−2.64076 − 2.51596I 0
u = −0.486090 − 0.945475I
a = 1.95773 − 2.14041I
b = 2.41861 − 3.20916I
−2.64076 + 2.51596I 0
u = 0.302821 + 1.020470I
a = 0.129693 + 0.508484I
b = 0.787123 − 0.928929I
−9.27722 − 3.99137I 0
u = 0.302821 − 1.020470I
a = 0.129693 − 0.508484I
b = 0.787123 + 0.928929I
−9.27722 + 3.99137I 0
u = 0.776802 + 0.518793I
a = 1.015560 − 0.567370I
b = 0.204586 − 1.364390I
3.39422 − 3.00637I 0
u = 0.776802 − 0.518793I
a = 1.015560 + 0.567370I
b = 0.204586 + 1.364390I
3.39422 + 3.00637I 0
u = 0.359469 + 0.860704I
a = 1.66643 − 1.09222I
b = 0.41232 − 1.47680I
−0.359640 − 0.841106I 0
u = 0.359469 − 0.860704I
a = 1.66643 + 1.09222I
b = 0.41232 + 1.47680I
−0.359640 + 0.841106I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.344814 + 1.011520I
a = −0.014959 − 0.630159I
b = −0.674659 + 0.692719I
−5.70935 + 0.95306I 0
u = 0.344814 − 1.011520I
a = −0.014959 + 0.630159I
b = −0.674659 − 0.692719I
−5.70935 − 0.95306I 0
u = −0.469947 + 0.964016I
a = −1.97650 − 1.92488I
b = −2.68528 − 3.02412I
−6.22272 + 1.80974I 0
u = −0.469947 − 0.964016I
a = −1.97650 + 1.92488I
b = −2.68528 + 3.02412I
−6.22272 − 1.80974I 0
u = −0.413064 + 0.829110I
a = 0.77676 + 1.50532I
b = 1.30264 + 1.62629I
−0.811819 − 0.337167I 0
u = −0.413064 − 0.829110I
a = 0.77676 − 1.50532I
b = 1.30264 − 1.62629I
−0.811819 + 0.337167I 0
u = −0.622446 + 0.880279I
a = 0.568985 − 0.163247I
b = 0.283062 − 0.213587I
0.60755 − 2.45684I 0
u = −0.622446 − 0.880279I
a = 0.568985 + 0.163247I
b = 0.283062 + 0.213587I
0.60755 + 2.45684I 0
u = −0.503225 + 0.958571I
a = −2.14933 − 2.14897I
b = −2.56067 − 3.44707I
−6.03961 − 7.01535I 0
u = −0.503225 − 0.958571I
a = −2.14933 + 2.14897I
b = −2.56067 + 3.44707I
−6.03961 + 7.01535I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.540140 + 0.972262I
a = 0.91775 − 1.34992I
b = −0.382108 − 1.078750I
0.159951 + 1.001520I 0
u = 0.540140 − 0.972262I
a = 0.91775 + 1.34992I
b = −0.382108 + 1.078750I
0.159951 − 1.001520I 0
u = 0.364288 + 1.052870I
a = −0.152278 + 0.524830I
b = 0.353280 − 0.740875I
−9.79216 + 5.52663I 0
u = 0.364288 − 1.052870I
a = −0.152278 − 0.524830I
b = 0.353280 + 0.740875I
−9.79216 − 5.52663I 0
u = 0.216355 + 1.098250I
a = −0.934801 + 0.417662I
b = −0.740885 + 0.207706I
−6.10304 − 0.25139I 0
u = 0.216355 − 1.098250I
a = −0.934801 − 0.417662I
b = −0.740885 − 0.207706I
−6.10304 + 0.25139I 0
u = 0.564834 + 0.664610I
a = −1.104790 − 0.262157I
b = −1.10291 + 1.29255I
1.11308 + 3.43678I 0
u = 0.564834 − 0.664610I
a = −1.104790 + 0.262157I
b = −1.10291 − 1.29255I
1.11308 − 3.43678I 0
u = −0.864925
a = 1.12947
b = 0.0590391
1.15090 0
u = 0.634001 + 0.579385I
a = 0.972987 − 0.075164I
b = 0.73859 − 1.29757I
2.80840 − 1.23277I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.634001 − 0.579385I
a = 0.972987 + 0.075164I
b = 0.73859 + 1.29757I
2.80840 + 1.23277I 0
u = −0.424391 + 1.064250I
a = −0.804446 − 0.658783I
b = −1.053830 − 0.611339I
−1.61821 − 2.77049I 0
u = −0.424391 − 1.064250I
a = −0.804446 + 0.658783I
b = −1.053830 + 0.611339I
−1.61821 + 2.77049I 0
u = 0.496996 + 1.048050I
a = −1.78524 + 0.10263I
b = −1.89932 + 1.40555I
−4.68200 + 5.54586I 0
u = 0.496996 − 1.048050I
a = −1.78524 − 0.10263I
b = −1.89932 − 1.40555I
−4.68200 − 5.54586I 0
u = 0.576297 + 1.006970I
a = −1.14686 + 1.15350I
b = −0.082280 + 1.271190I
1.53237 + 5.99820I 0
u = 0.576297 − 1.006970I
a = −1.14686 − 1.15350I
b = −0.082280 − 1.271190I
1.53237 − 5.99820I 0
u = −0.495476 + 0.676963I
a = 1.35903 + 3.12852I
b = 0.14569 + 2.00460I
−5.17764 + 2.89665I 0
u = −0.495476 − 0.676963I
a = 1.35903 − 3.12852I
b = 0.14569 − 2.00460I
−5.17764 − 2.89665I 0
u = −0.054161 + 1.167310I
a = −0.098432 + 0.478297I
b = 0.446919 − 0.165131I
−3.65497 − 5.87029I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.054161 − 1.167310I
a = −0.098432 − 0.478297I
b = 0.446919 + 0.165131I
−3.65497 + 5.87029I 0
u = 0.469726 + 1.082720I
a = 1.66244 − 0.08554I
b = 1.92404 − 1.13006I
−9.06972 + 1.47220I 0
u = 0.469726 − 1.082720I
a = 1.66244 + 0.08554I
b = 1.92404 + 1.13006I
−9.06972 − 1.47220I 0
u = −0.424271 + 0.698754I
a = −1.09326 − 2.76432I
b = −0.39351 − 1.66424I
−1.86322 − 1.38201I 0
u = −0.424271 − 0.698754I
a = −1.09326 + 2.76432I
b = −0.39351 + 1.66424I
−1.86322 + 1.38201I 0
u = 0.523478 + 1.060820I
a = 1.80466 − 0.02934I
b = 2.06619 − 1.46486I
−7.81039 + 10.63470I 0
u = 0.523478 − 1.060820I
a = 1.80466 + 0.02934I
b = 2.06619 + 1.46486I
−7.81039 − 10.63470I 0
u = −0.912005 + 0.778203I
a = −0.223087 + 0.395516I
b = −0.815991 − 0.278111I
0.41964 − 3.21534I 0
u = −0.912005 − 0.778203I
a = −0.223087 − 0.395516I
b = −0.815991 + 0.278111I
0.41964 + 3.21534I 0
u = 0.557526 + 1.084810I
a = 1.122080 − 0.735761I
b = 0.780432 − 0.806136I
−3.94544 + 7.44938I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.557526 − 1.084810I
a = 1.122080 + 0.735761I
b = 0.780432 + 0.806136I
−3.94544 − 7.44938I 0
u = 0.628411 + 1.064180I
a = −1.43841 + 0.90795I
b = −0.79030 + 1.61396I
1.75781 + 8.31581I 0
u = 0.628411 − 1.064180I
a = −1.43841 − 0.90795I
b = −0.79030 − 1.61396I
1.75781 − 8.31581I 0
u = −0.713776 + 1.019460I
a = 0.535297 + 0.394961I
b = 0.061365 + 0.653781I
1.16025 − 2.35383I 0
u = −0.713776 − 1.019460I
a = 0.535297 − 0.394961I
b = 0.061365 − 0.653781I
1.16025 + 2.35383I 0
u = −0.976305 + 0.778911I
a = 0.294860 − 0.522815I
b = 1.004610 + 0.376001I
−2.76590 − 7.61812I 0
u = −0.976305 − 0.778911I
a = 0.294860 + 0.522815I
b = 1.004610 − 0.376001I
−2.76590 + 7.61812I 0
u = 0.661618 + 0.345676I
a = −0.343334 + 0.497854I
b = −0.413165 + 0.801179I
−1.87219 − 2.71430I −2.15624 + 3.40858I
u = 0.661618 − 0.345676I
a = −0.343334 − 0.497854I
b = −0.413165 − 0.801179I
−1.87219 + 2.71430I −2.15624 − 3.40858I
u = −0.930176 + 0.855473I
a = 0.090059 − 0.524656I
b = 0.967564 + 0.038882I
−3.00978 + 0.86920I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.930176 − 0.855473I
a = 0.090059 + 0.524656I
b = 0.967564 − 0.038882I
−3.00978 − 0.86920I 0
u = 0.647248 + 1.091120I
a = 1.54881 − 0.80607I
b = 1.12488 − 1.75934I
0.65942 + 13.14560I 0
u = 0.647248 − 1.091120I
a = 1.54881 + 0.80607I
b = 1.12488 + 1.75934I
0.65942 − 13.14560I 0
u = −0.420362 + 0.597439I
a = 0.75687 + 3.23139I
b = 0.00025 + 1.49503I
−5.17136 − 5.62996I −6.98138 + 7.29274I
u = −0.420362 − 0.597439I
a = 0.75687 − 3.23139I
b = 0.00025 − 1.49503I
−5.17136 + 5.62996I −6.98138 − 7.29274I
u = −0.685146 + 1.118240I
a = −0.663844 − 0.514004I
b = −0.360299 − 1.095050I
0.60014 − 6.03677I 0
u = −0.685146 − 1.118240I
a = −0.663844 + 0.514004I
b = −0.360299 + 1.095050I
0.60014 + 6.03677I 0
u = 0.078696 + 1.309520I
a = −0.320794 − 0.023103I
b = −0.077459 − 1.076550I
−7.73229 − 4.97318I 0
u = 0.078696 − 1.309520I
a = −0.320794 + 0.023103I
b = −0.077459 + 1.076550I
−7.73229 + 4.97318I 0
u = 0.113739 + 1.314870I
a = 0.408360 + 0.075644I
b = 0.313958 + 1.140800I
−11.68010 − 0.62163I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.113739 − 1.314870I
a = 0.408360 − 0.075644I
b = 0.313958 − 1.140800I
−11.68010 + 0.62163I 0
u = 0.634925 + 1.162060I
a = −1.58272 + 0.47499I
b = −1.95419 + 1.42451I
−8.09691 + 9.56703I 0
u = 0.634925 − 1.162060I
a = −1.58272 − 0.47499I
b = −1.95419 − 1.42451I
−8.09691 − 9.56703I 0
u = 0.650233 + 1.153870I
a = 1.63967 − 0.53280I
b = 1.89314 − 1.64752I
−3.8142 + 13.7901I 0
u = 0.650233 − 1.153870I
a = 1.63967 + 0.53280I
b = 1.89314 + 1.64752I
−3.8142 − 13.7901I 0
u = 0.658855 + 1.162630I
a = −1.69005 + 0.50615I
b = −2.03122 + 1.73785I
−7.0523 + 18.8233I 0
u = 0.658855 − 1.162630I
a = −1.69005 − 0.50615I
b = −2.03122 − 1.73785I
−7.0523 − 18.8233I 0
u = 0.069241 + 1.336930I
a = 0.266026 + 0.085081I
b = −0.020149 + 1.252700I
−11.1249 − 9.7796I 0
u = 0.069241 − 1.336930I
a = 0.266026 − 0.085081I
b = −0.020149 − 1.252700I
−11.1249 + 9.7796I 0
u = 0.563092 + 0.341046I
a = −1.43179 + 1.54663I
b = 0.880338 + 0.871207I
−5.83568 − 6.26348I −1.59821 + 4.73395I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.563092 − 0.341046I
a = −1.43179 − 1.54663I
b = 0.880338 − 0.871207I
−5.83568 + 6.26348I −1.59821 − 4.73395I
u = −0.606585 + 1.237530I
a = −0.784889 − 0.529822I
b = −1.04510 − 1.38789I
−2.24365 − 5.42103I 0
u = −0.606585 − 1.237530I
a = −0.784889 + 0.529822I
b = −1.04510 + 1.38789I
−2.24365 + 5.42103I 0
u = −0.572210 + 1.264310I
a = 0.800242 + 0.504970I
b = 1.27443 + 1.34012I
−5.93009 − 1.25011I 0
u = −0.572210 − 1.264310I
a = 0.800242 − 0.504970I
b = 1.27443 − 1.34012I
−5.93009 + 1.25011I 0
u = 0.573192 + 0.185266I
a = −1.23660 + 1.28800I
b = 0.802556 + 0.630072I
−6.62393 + 2.58271I −3.14755 − 2.46189I
u = 0.573192 − 0.185266I
a = −1.23660 − 1.28800I
b = 0.802556 − 0.630072I
−6.62393 − 2.58271I −3.14755 + 2.46189I
u = −0.628406 + 1.264100I
a = 0.804235 + 0.548371I
b = 1.06633 + 1.58252I
−5.51709 − 10.01090I 0
u = −0.628406 − 1.264100I
a = 0.804235 − 0.548371I
b = 1.06633 − 1.58252I
−5.51709 + 10.01090I 0
u = −0.581537
a = 1.27604
b = 0.408004
1.23744 8.91410
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.106400 + 0.554551I
a = −0.824685 − 0.958072I
b = −1.137570 + 0.007819I
−1.16097 − 2.29070I −1.97588 + 5.36267I
u = −0.106400 − 0.554551I
a = −0.824685 + 0.958072I
b = −1.137570 − 0.007819I
−1.16097 + 2.29070I −1.97588 − 5.36267I
u = 0.482750 + 0.277517I
a = 1.52345 − 1.38742I
b = −0.732770 − 0.792895I
−2.68789 − 1.48967I 0.84750 + 1.45711I
u = 0.482750 − 0.277517I
a = 1.52345 + 1.38742I
b = −0.732770 + 0.792895I
−2.68789 + 1.48967I 0.84750 − 1.45711I
u = −0.0578905 + 0.0907360I
a = 3.75642 − 6.47146I
b = −0.108548 − 0.549278I
−0.05103 − 1.76225I −0.21913 + 4.44953I
u = −0.0578905 − 0.0907360I
a = 3.75642 + 6.47146I
b = −0.108548 + 0.549278I
−0.05103 + 1.76225I −0.21913 − 4.44953I
16
II. I
u
2
= hb + 2u + 2, a + u + 2, u
2
+ u + 1i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
3
=
1
u + 1
a
9
=
−u − 2
−2u − 2
a
4
=
−u − 1
−u − 1
a
6
=
u
u
a
10
=
−u − 1
−2u − 1
a
7
=
0
1
a
1
=
−u
−u
a
8
=
−u − 1
−2u − 1
a
12
=
−u
−u
a
11
=
−u
−2u
(ii) Obstruction class = 1
(iii) Cusp Shapes = 8u + 7
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
6
c
8
, c
10
, c
11
u
2
− u + 1
c
2
, c
7
, c
9
u
2
+ u + 1
c
3
, c
4
(u + 1)
2
c
12
u
2
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
7
, c
8
c
9
, c
10
, c
11
y
2
+ y + 1
c
3
, c
4
(y −1)
2
c
12
y
2
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = −1.50000 − 0.86603I
b = −1.00000 − 1.73205I
− 4.05977I 3.00000 + 6.92820I
u = −0.500000 − 0.866025I
a = −1.50000 + 0.86603I
b = −1.00000 + 1.73205I
4.05977I 3.00000 − 6.92820I
20
III. I
u
3
= hb − u − 1, a − u − 2, u
2
+ u + 1i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
3
=
1
u + 1
a
9
=
u + 2
u + 1
a
4
=
u
u
a
6
=
u
u
a
10
=
1
0
a
7
=
0
u
a
1
=
−u
−u
a
8
=
1
0
a
12
=
−u
−u
a
11
=
−u
−u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
c
5
, c
6
, c
8
c
10
, c
11
u
2
− u + 1
c
2
, c
7
, c
9
u
2
+ u + 1
c
12
u
2
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
7
, c
8
, c
9
c
10
, c
11
y
2
+ y + 1
c
12
y
2
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 1.50000 + 0.86603I
b = 0.500000 + 0.866025I
0 0
u = −0.500000 − 0.866025I
a = 1.50000 − 0.86603I
b = 0.500000 − 0.866025I
0 0
24
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
2
)(u
116
+ 51u
115
+ ··· + 90u + 1)
c
2
((u
2
+ u + 1)
2
)(u
116
+ 3u
115
+ ··· − 2u + 1)
c
3
((u + 1)
2
)(u
2
− u + 1)(u
116
− 56u
114
+ ··· − 1192u + 608)
c
4
((u + 1)
2
)(u
2
− u + 1)(u
116
+ 2u
115
+ ··· − 20233u − 2189)
c
5
((u
2
− u + 1)
2
)(u
116
+ 3u
115
+ ··· − 2u + 1)
c
6
((u
2
− u + 1)
2
)(u
116
+ 3u
115
+ ··· + 493u + 578)
c
7
((u
2
+ u + 1)
2
)(u
116
− 3u
115
+ ··· − 8u + 1)
c
8
((u
2
− u + 1)
2
)(u
116
− 3u
115
+ ··· − 2u + 1)
c
9
((u
2
+ u + 1)
2
)(u
116
+ 3u
115
+ ··· + 493u + 578)
c
10
((u
2
− u + 1)
2
)(u
116
+ 63u
115
+ ··· − 2u + 1)
c
11
((u
2
− u + 1)
2
)(u
116
− 3u
115
+ ··· − 8u + 1)
c
12
u
4
(u
116
+ 11u
115
+ ··· + 48u + 16)
25
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
2
)(y
116
+ 31y
115
+ ··· + 9626y + 1)
c
2
, c
5
((y
2
+ y + 1)
2
)(y
116
+ 51y
115
+ ··· + 90y + 1)
c
3
((y −1)
2
)(y
2
+ y + 1)(y
116
− 112y
115
+ ··· + 1.28744 × 10
7
y + 369664)
c
4
((y −1)
2
)(y
2
+ y + 1)(y
116
− 140y
115
+ ··· − 6.10859 × 10
8
y + 4791721)
c
6
, c
9
((y
2
+ y + 1)
2
)(y
116
− 97y
115
+ ··· + 5595907y + 334084)
c
7
, c
11
((y
2
+ y + 1)
2
)(y
116
+ 63y
115
+ ··· − 2y + 1)
c
8
((y
2
+ y + 1)
2
)(y
116
− 9y
115
+ ··· − 2y + 1)
c
10
((y
2
+ y + 1)
2
)(y
116
− 17y
115
+ ··· + 154y + 1)
c
12
y
4
(y
116
+ 25y
115
+ ··· + 7552y + 256)
26
