12a
0139
(K12a
0139
)
A knot diagram
1
Linearized knot diagam
3 5 8 9 2 10 12 1 11 7 6 4
Solving Sequence
6,10
7 11 12
2,8
5 3 1 9 4
c
6
c
10
c
11
c
7
c
5
c
2
c
1
c
9
c
4
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.34404 × 10
85
u
129
− 2.83677 × 10
85
u
128
+ ··· + 3.31526 × 10
84
b − 1.05008 × 10
85
,
1.17862 × 10
85
u
129
+ 2.09114 × 10
85
u
128
+ ··· + 3.31526 × 10
84
a + 7.72033 × 10
84
, u
130
+ 3u
129
+ ··· − 2u + 1i
I
u
2
= hb − a − 1, a
2
+ a + 1, u − 1i
* 2 irreducible components of dim
C
= 0, with total 132 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
= h−1.34 × 10
85
u
129
− 2.84 × 10
85
u
128
+ · · · + 3.32 × 10
84
b − 1.05 ×
10
85
, 1.18 × 10
85
u
129
+ 2.09 × 10
85
u
128
+ · · · + 3.32 × 10
84
a + 7.72 ×
10
84
, u
130
+ 3u
129
+ · · · − 2u + 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
7
=
1
u
2
a
11
=
−u
−u
3
+ u
a
12
=
−u
3
−u
3
+ u
a
2
=
−3.55515u
129
− 6.30762u
128
+ ··· + 10.4355u − 2.32873
4.05411u
129
+ 8.55670u
128
+ ··· − 7.67266u + 3.16741
a
8
=
u
8
− u
6
+ u
4
+ 1
u
8
− 2u
6
+ 2u
4
a
5
=
−1.34361u
129
+ 2.21906u
128
+ ··· − 6.50877u + 1.76403
3.31056u
129
+ 6.97811u
128
+ ··· − 5.48968u + 1.50109
a
3
=
0.779726u
129
+ 6.58769u
128
+ ··· − 8.17552u + 1.77402
3.76185u
129
+ 7.89215u
128
+ ··· − 6.59343u + 1.66634
a
1
=
−2.14334u
129
− 3.57272u
128
+ ··· + 5.24061u − 3.85790
0.0243408u
129
+ 0.929845u
128
+ ··· − 2.19183u + 0.167201
a
9
=
u
3
u
5
− u
3
+ u
a
4
=
−12.7433u
129
− 23.2938u
128
+ ··· + 33.5339u − 11.4273
−4.00672u
129
− 9.93596u
128
+ ··· + 21.3244u − 7.44894
(ii) Obstruction class = −1
(iii) Cusp Shapes = −18.2894u
129
− 51.7968u
128
+ ··· + 78.8220u − 19.8878
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
130
+ 50u
129
+ ··· + 65u + 1
c
2
, c
5
u
130
+ 2u
129
+ ··· − 3u + 1
c
3
u
130
+ 85u
128
+ ··· + 118943u + 10463
c
4
u
130
+ 2u
129
+ ··· − 221835u + 15679
c
6
, c
10
u
130
+ 3u
129
+ ··· − 2u + 1
c
7
u
130
+ u
129
+ ··· − 21833018u + 2806801
c
8
u
130
+ 7u
129
+ ··· + u
2
+ 1
c
9
u
130
+ 61u
129
+ ··· − 2u + 1
c
11
u
130
+ 3u
129
+ ··· − 5888u + 1088
c
12
u
130
+ 13u
129
+ ··· + 12u + 4
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
130
+ 62y
129
+ ··· − 1919y + 1
c
2
, c
5
y
130
+ 50y
129
+ ··· + 65y + 1
c
3
y
130
+ 170y
129
+ ··· + 3781185289y + 109474369
c
4
y
130
+ 114y
129
+ ··· − 14793010375y + 245831041
c
6
, c
10
y
130
− 61y
129
+ ··· + 2y + 1
c
7
y
130
− 69y
129
+ ··· − 65848387418830y + 7878131853601
c
8
y
130
+ 11y
129
+ ··· + 2y + 1
c
9
y
130
+ 19y
129
+ ··· − 194y + 1
c
11
y
130
+ 17y
129
+ ··· + 59393408y + 1183744
c
12
y
130
− 15y
129
+ ··· − 360y + 16
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.951935 + 0.284455I
a = −0.14803 − 1.97266I
b = 0.488159 + 0.803024I
−1.56375 + 2.70725I 0
u = −0.951935 − 0.284455I
a = −0.14803 + 1.97266I
b = 0.488159 − 0.803024I
−1.56375 − 2.70725I 0
u = 0.931943 + 0.381019I
a = −0.31523 − 1.38191I
b = 0.782685 − 0.892227I
0.15075 − 4.42039I 0
u = 0.931943 − 0.381019I
a = −0.31523 + 1.38191I
b = 0.782685 + 0.892227I
0.15075 + 4.42039I 0
u = −0.966441 + 0.207465I
a = 0.775311 + 0.005982I
b = −0.025874 − 0.169066I
−1.71594 + 0.40119I 0
u = −0.966441 − 0.207465I
a = 0.775311 − 0.005982I
b = −0.025874 + 0.169066I
−1.71594 − 0.40119I 0
u = 0.653051 + 0.737590I
a = 1.37772 + 0.59405I
b = −0.660199 + 0.845729I
5.28261 − 2.80212I 0
u = 0.653051 − 0.737590I
a = 1.37772 − 0.59405I
b = −0.660199 − 0.845729I
5.28261 + 2.80212I 0
u = −0.896083 + 0.399735I
a = 2.02289 + 0.07038I
b = 0.212658 − 0.827549I
−1.92625 − 0.01548I 0
u = −0.896083 − 0.399735I
a = 2.02289 − 0.07038I
b = 0.212658 + 0.827549I
−1.92625 + 0.01548I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.605136 + 0.765907I
a = 0.503962 + 0.256466I
b = −0.653532 − 0.841229I
5.29625 + 2.29671I 0
u = 0.605136 − 0.765907I
a = 0.503962 − 0.256466I
b = −0.653532 + 0.841229I
5.29625 − 2.29671I 0
u = −1.003610 + 0.262917I
a = −3.31743 − 3.31682I
b = 0.514617 − 0.899800I
−1.88382 − 1.40297I 0
u = −1.003610 − 0.262917I
a = −3.31743 + 3.31682I
b = 0.514617 + 0.899800I
−1.88382 + 1.40297I 0
u = 1.018820 + 0.197031I
a = 0.16415 + 2.36199I
b = 0.672728 + 1.153990I
−1.21577 + 3.88550I 0
u = 1.018820 − 0.197031I
a = 0.16415 − 2.36199I
b = 0.672728 − 1.153990I
−1.21577 − 3.88550I 0
u = −0.613995 + 0.735363I
a = 1.60062 − 0.55695I
b = −0.707275 − 1.083810I
5.15125 + 11.52140I 0
u = −0.613995 − 0.735363I
a = 1.60062 + 0.55695I
b = −0.707275 + 1.083810I
5.15125 − 11.52140I 0
u = −0.586027 + 0.730245I
a = 0.634538 − 0.577967I
b = −0.897743 + 0.578951I
6.70126 + 5.60050I 0
u = −0.586027 − 0.730245I
a = 0.634538 + 0.577967I
b = −0.897743 − 0.578951I
6.70126 − 5.60050I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.905604 + 0.178476I
a = 0.877477 + 0.488964I
b = 0.856830 + 0.602172I
0.87490 + 1.50720I 0
u = 0.905604 − 0.178476I
a = 0.877477 − 0.488964I
b = 0.856830 − 0.602172I
0.87490 − 1.50720I 0
u = −1.027860 + 0.329407I
a = −0.22085 + 5.11891I
b = 0.433858 + 0.895156I
−2.32336 + 3.10835I 0
u = −1.027860 − 0.329407I
a = −0.22085 − 5.11891I
b = 0.433858 − 0.895156I
−2.32336 − 3.10835I 0
u = 0.414397 + 0.818585I
a = 0.603615 − 0.127526I
b = −0.624398 + 0.741213I
4.22486 + 0.91362I 0
u = 0.414397 − 0.818585I
a = 0.603615 + 0.127526I
b = −0.624398 − 0.741213I
4.22486 − 0.91362I 0
u = 0.368317 + 0.832365I
a = 1.145250 − 0.644705I
b = −0.623897 − 0.927978I
3.65310 + 5.82723I 0
u = 0.368317 − 0.832365I
a = 1.145250 + 0.644705I
b = −0.623897 + 0.927978I
3.65310 − 5.82723I 0
u = 1.026610 + 0.394021I
a = −0.28260 − 2.98165I
b = 0.485682 − 1.157470I
−2.55538 − 5.79673I 0
u = 1.026610 − 0.394021I
a = −0.28260 + 2.98165I
b = 0.485682 + 1.157470I
−2.55538 + 5.79673I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.835328 + 0.323118I
a = 0.836461 − 0.453003I
b = 0.759574 − 0.225586I
1.17914 − 1.62230I 0
u = 0.835328 − 0.323118I
a = 0.836461 + 0.453003I
b = 0.759574 + 0.225586I
1.17914 + 1.62230I 0
u = −0.378631 + 0.807445I
a = 1.37867 + 0.75351I
b = −0.702678 + 1.116600I
3.8613 − 14.4056I 0
u = −0.378631 − 0.807445I
a = 1.37867 − 0.75351I
b = −0.702678 − 1.116600I
3.8613 + 14.4056I 0
u = −0.392706 + 0.793126I
a = 0.471970 + 0.465172I
b = −0.933173 − 0.532956I
5.65712 − 8.40978I 0
u = −0.392706 − 0.793126I
a = 0.471970 − 0.465172I
b = −0.933173 + 0.532956I
5.65712 + 8.40978I 0
u = 1.097370 + 0.218797I
a = 0.17818 + 2.80164I
b = 0.021544 + 1.258720I
−5.92732 + 3.77179I 0
u = 1.097370 − 0.218797I
a = 0.17818 − 2.80164I
b = 0.021544 − 1.258720I
−5.92732 − 3.77179I 0
u = 1.130670 + 0.154148I
a = −0.761839 + 0.559298I
b = −0.896843 + 0.506568I
0.63364 + 5.98730I 0
u = 1.130670 − 0.154148I
a = −0.761839 − 0.559298I
b = −0.896843 − 0.506568I
0.63364 − 5.98730I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.943036 + 0.645741I
a = 0.0795485 + 0.0521160I
b = −0.682324 − 0.796300I
4.41795 − 2.44689I 0
u = 0.943036 − 0.645741I
a = 0.0795485 − 0.0521160I
b = −0.682324 + 0.796300I
4.41795 + 2.44689I 0
u = −1.017350 + 0.530862I
a = 1.67630 − 1.13471I
b = 0.273002 − 1.192200I
−1.80046 + 0.37940I 0
u = −1.017350 − 0.530862I
a = 1.67630 + 1.13471I
b = 0.273002 + 1.192200I
−1.80046 − 0.37940I 0
u = −0.470034 + 0.707573I
a = −0.745861 − 0.338659I
b = 1.031710 + 0.431016I
5.45783 + 0.62163I 0
u = −0.470034 − 0.707573I
a = −0.745861 + 0.338659I
b = 1.031710 − 0.431016I
5.45783 − 0.62163I 0
u = −0.448890 + 0.717970I
a = −0.873130 + 0.161716I
b = 1.031290 − 0.535960I
5.34861 − 2.97580I 0
u = −0.448890 − 0.717970I
a = −0.873130 − 0.161716I
b = 1.031290 + 0.535960I
5.34861 + 2.97580I 0
u = −0.494047 + 0.681234I
a = −1.281140 + 0.003257I
b = 0.790215 + 1.104020I
3.63704 + 3.57179I 0
u = −0.494047 − 0.681234I
a = −1.281140 − 0.003257I
b = 0.790215 − 1.104020I
3.63704 − 3.57179I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.560638 + 0.627367I
a = −0.385416 + 0.468501I
b = 0.163272 + 1.217210I
−0.45617 + 4.17625I 0
u = −0.560638 − 0.627367I
a = −0.385416 − 0.468501I
b = 0.163272 − 1.217210I
−0.45617 − 4.17625I 0
u = −0.417757 + 0.723230I
a = −1.338840 − 0.423458I
b = 0.751878 − 1.168800I
3.24162 − 5.80998I 0
u = −0.417757 − 0.723230I
a = −1.338840 + 0.423458I
b = 0.751878 + 1.168800I
3.24162 + 5.80998I 0
u = −1.100610 + 0.381496I
a = 0.198443 − 1.062870I
b = −0.445712 − 0.247280I
−3.12074 + 1.12926I 0
u = −1.100610 − 0.381496I
a = 0.198443 + 1.062870I
b = −0.445712 + 0.247280I
−3.12074 − 1.12926I 0
u = 0.451795 + 0.702261I
a = 0.347784 − 0.119952I
b = 0.271289 + 0.089096I
2.56021 + 1.11625I 0
u = 0.451795 − 0.702261I
a = 0.347784 + 0.119952I
b = 0.271289 − 0.089096I
2.56021 − 1.11625I 0
u = −0.976829 + 0.638318I
a = −0.1107970 + 0.0497567I
b = −0.706858 + 1.063770I
4.07477 − 6.30156I 0
u = −0.976829 − 0.638318I
a = −0.1107970 − 0.0497567I
b = −0.706858 − 1.063770I
4.07477 + 6.30156I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.155540 + 0.164924I
a = 0.05425 − 2.21563I
b = −0.680797 − 1.111760I
−1.20719 + 11.80260I 0
u = 1.155540 − 0.164924I
a = 0.05425 + 2.21563I
b = −0.680797 + 1.111760I
−1.20719 − 11.80260I 0
u = −0.367787 + 0.739991I
a = −0.453090 − 0.785097I
b = 0.082081 − 1.290190I
−1.42238 − 6.21996I 0
u = −0.367787 − 0.739991I
a = −0.453090 + 0.785097I
b = 0.082081 + 1.290190I
−1.42238 + 6.21996I 0
u = −0.996636 + 0.624668I
a = 1.007410 − 0.893486I
b = −0.876209 − 0.605123I
5.48321 − 0.43853I 0
u = −0.996636 − 0.624668I
a = 1.007410 + 0.893486I
b = −0.876209 + 0.605123I
5.48321 + 0.43853I 0
u = 1.117000 + 0.376273I
a = −0.37182 − 2.64776I
b = −0.131366 − 1.162720I
−7.49900 − 4.15326I 0
u = 1.117000 − 0.376273I
a = −0.37182 + 2.64776I
b = −0.131366 + 1.162720I
−7.49900 + 4.15326I 0
u = 0.987832 + 0.653910I
a = 1.29622 + 0.94083I
b = −0.665656 + 0.882854I
4.15786 − 7.64742I 0
u = 0.987832 − 0.653910I
a = 1.29622 − 0.94083I
b = −0.665656 − 0.882854I
4.15786 + 7.64742I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.454735 + 0.676370I
a = −2.80402 + 1.84368I
b = 0.560265 − 0.838253I
2.31190 − 1.21104I −16.9103 + 0.I
u = 0.454735 − 0.676370I
a = −2.80402 − 1.84368I
b = 0.560265 + 0.838253I
2.31190 + 1.21104I −16.9103 + 0.I
u = −1.143040 + 0.314243I
a = 0.46535 − 1.86891I
b = −0.314503 − 0.707096I
−3.28483 + 1.01028I 0
u = −1.143040 − 0.314243I
a = 0.46535 + 1.86891I
b = −0.314503 + 0.707096I
−3.28483 − 1.01028I 0
u = 0.425483 + 0.690833I
a = −3.71442 − 0.35239I
b = 0.557092 + 0.881789I
2.17127 + 3.24734I −13.4996 + 13.7790I
u = 0.425483 − 0.690833I
a = −3.71442 + 0.35239I
b = 0.557092 − 0.881789I
2.17127 − 3.24734I −13.4996 − 13.7790I
u = −1.047400 + 0.572532I
a = 0.792308 + 0.288123I
b = 0.821592 − 1.075850I
2.00132 + 1.28465I 0
u = −1.047400 − 0.572532I
a = 0.792308 − 0.288123I
b = 0.821592 + 1.075850I
2.00132 − 1.28465I 0
u = 1.069700 + 0.534717I
a = 1.75541 + 2.55227I
b = 0.339537 + 0.887971I
−0.88647 − 3.60045I 0
u = 1.069700 − 0.534717I
a = 1.75541 − 2.55227I
b = 0.339537 − 0.887971I
−0.88647 + 3.60045I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.193250 + 0.100148I
a = −0.007553 − 1.273030I
b = −0.547079 − 0.801466I
−1.23069 + 1.50596I 0
u = −1.193250 − 0.100148I
a = −0.007553 + 1.273030I
b = −0.547079 + 0.801466I
−1.23069 − 1.50596I 0
u = 1.064830 + 0.567394I
a = −0.72933 − 1.89628I
b = 0.568028 + 0.816331I
0.51783 − 3.61735I 0
u = 1.064830 − 0.567394I
a = −0.72933 + 1.89628I
b = 0.568028 − 0.816331I
0.51783 + 3.61735I 0
u = −1.062420 + 0.582305I
a = 0.558111 + 1.290780I
b = 1.047910 − 0.382477I
3.70910 + 4.33562I 0
u = −1.062420 − 0.582305I
a = 0.558111 − 1.290780I
b = 1.047910 + 0.382477I
3.70910 − 4.33562I 0
u = 1.126010 + 0.449604I
a = −0.772483 − 0.098456I
b = −0.694249 − 0.379283I
−2.65232 − 6.51534I 0
u = 1.126010 − 0.449604I
a = −0.772483 + 0.098456I
b = −0.694249 + 0.379283I
−2.65232 + 6.51534I 0
u = 1.069740 + 0.577482I
a = 0.336304 − 0.251962I
b = 0.303521 − 0.163960I
0.74062 − 6.04326I 0
u = 1.069740 − 0.577482I
a = 0.336304 + 0.251962I
b = 0.303521 + 0.163960I
0.74062 + 6.04326I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.205430 + 0.168178I
a = 0.04786 + 1.70583I
b = −0.571082 + 0.903173I
−1.58036 − 2.98303I 0
u = −1.205430 − 0.168178I
a = 0.04786 − 1.70583I
b = −0.571082 − 0.903173I
−1.58036 + 2.98303I 0
u = −1.123310 + 0.472373I
a = 1.65357 − 2.41237I
b = −0.214084 − 1.097040I
−6.85094 + 3.52114I 0
u = −1.123310 − 0.472373I
a = 1.65357 + 2.41237I
b = −0.214084 + 1.097040I
−6.85094 − 3.52114I 0
u = 1.079460 + 0.567991I
a = −3.99411 − 1.56684I
b = 0.560188 − 0.899200I
0.25253 − 8.11189I 0
u = 1.079460 − 0.567991I
a = −3.99411 + 1.56684I
b = 0.560188 + 0.899200I
0.25253 + 8.11189I 0
u = −1.074020 + 0.582938I
a = −0.75638 + 1.52052I
b = 1.044260 + 0.577075I
3.50527 + 7.96038I 0
u = −1.074020 − 0.582938I
a = −0.75638 − 1.52052I
b = 1.044260 − 0.577075I
3.50527 − 7.96038I 0
u = −1.087830 + 0.578708I
a = −2.01544 + 2.24277I
b = 0.745220 + 1.196100I
1.27171 + 10.78980I 0
u = −1.087830 − 0.578708I
a = −2.01544 − 2.24277I
b = 0.745220 − 1.196100I
1.27171 − 10.78980I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.112710 + 0.541441I
a = −0.37760 − 1.61344I
b = −0.055519 − 0.780968I
−1.72144 − 6.65549I 0
u = 1.112710 − 0.541441I
a = −0.37760 + 1.61344I
b = −0.055519 + 0.780968I
−1.72144 + 6.65549I 0
u = 0.024144 + 0.757115I
a = 0.443826 − 1.023970I
b = −0.596666 − 1.030190I
−1.20535 + 7.18811I −0.33826 − 8.22116I
u = 0.024144 − 0.757115I
a = 0.443826 + 1.023970I
b = −0.596666 + 1.030190I
−1.20535 − 7.18811I −0.33826 + 8.22116I
u = −1.175960 + 0.405685I
a = −0.89336 + 1.68852I
b = −0.553370 + 1.020650I
−4.76957 − 3.09335I 0
u = −1.175960 − 0.405685I
a = −0.89336 − 1.68852I
b = −0.553370 − 1.020650I
−4.76957 + 3.09335I 0
u = 1.164500 + 0.438192I
a = 0.73319 + 2.63405I
b = −0.592085 + 1.067770I
−4.54838 − 11.43550I 0
u = 1.164500 − 0.438192I
a = 0.73319 − 2.63405I
b = −0.592085 − 1.067770I
−4.54838 + 11.43550I 0
u = −1.108850 + 0.572725I
a = −1.73368 + 1.89625I
b = 0.066256 + 1.316560I
−3.59278 + 11.20930I 0
u = −1.108850 − 0.572725I
a = −1.73368 − 1.89625I
b = 0.066256 − 1.316560I
−3.59278 − 11.20930I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.116290 + 0.596941I
a = −0.753048 − 1.043810I
b = −0.947349 + 0.520031I
3.50820 + 13.62670I 0
u = −1.116290 − 0.596941I
a = −0.753048 + 1.043810I
b = −0.947349 − 0.520031I
3.50820 − 13.62670I 0
u = 1.113110 + 0.612423I
a = −0.512604 + 0.329161I
b = −0.624648 − 0.696799I
2.13905 − 6.25198I 0
u = 1.113110 − 0.612423I
a = −0.512604 − 0.329161I
b = −0.624648 + 0.696799I
2.13905 + 6.25198I 0
u = −1.125900 + 0.597400I
a = 1.97138 − 2.27327I
b = −0.702496 − 1.126950I
1.6378 + 19.6584I 0
u = −1.125900 − 0.597400I
a = 1.97138 + 2.27327I
b = −0.702496 + 1.126950I
1.6378 − 19.6584I 0
u = 0.300763 + 0.660103I
a = 0.655329 + 0.997752I
b = 0.012248 + 0.658081I
0.58863 + 1.97072I 1.01913 − 3.76688I
u = 0.300763 − 0.660103I
a = 0.655329 − 0.997752I
b = 0.012248 − 0.658081I
0.58863 − 1.97072I 1.01913 + 3.76688I
u = 1.136340 + 0.603691I
a = 1.63995 + 1.90641I
b = −0.620273 + 0.954062I
1.36145 − 11.16380I 0
u = 1.136340 − 0.603691I
a = 1.63995 − 1.90641I
b = −0.620273 − 0.954062I
1.36145 + 11.16380I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.401739 + 0.579883I
a = 1.01256 − 2.00554I
b = 0.340585 − 0.812865I
1.033700 − 0.901182I 5.52632 + 3.19951I
u = 0.401739 − 0.579883I
a = 1.01256 + 2.00554I
b = 0.340585 + 0.812865I
1.033700 + 0.901182I 5.52632 − 3.19951I
u = 0.088291 + 0.684301I
a = 0.305618 + 0.466857I
b = −0.608701 + 0.487163I
0.30001 + 2.37537I 2.20863 − 3.79545I
u = 0.088291 − 0.684301I
a = 0.305618 − 0.466857I
b = −0.608701 − 0.487163I
0.30001 − 2.37537I 2.20863 + 3.79545I
u = −0.126061 + 0.648378I
a = 0.96121 + 1.22805I
b = −0.140084 + 1.073500I
−4.07696 + 0.70334I −5.41284 − 1.11187I
u = −0.126061 − 0.648378I
a = 0.96121 − 1.22805I
b = −0.140084 − 1.073500I
−4.07696 − 0.70334I −5.41284 + 1.11187I
u = 0.464948 + 0.130618I
a = 1.54928 + 0.39000I
b = 0.601231 + 0.607377I
1.00842 + 1.42479I 3.94593 − 3.39925I
u = 0.464948 − 0.130618I
a = 1.54928 − 0.39000I
b = 0.601231 − 0.607377I
1.00842 − 1.42479I 3.94593 + 3.39925I
u = 0.018684 + 0.316194I
a = 1.55806 + 1.07895I
b = 0.505716 + 0.996536I
−0.25297 + 2.82529I 1.22965 − 2.68926I
u = 0.018684 − 0.316194I
a = 1.55806 − 1.07895I
b = 0.505716 − 0.996536I
−0.25297 − 2.82529I 1.22965 + 2.68926I
17
II. I
u
2
= hb − a − 1, a
2
+ a + 1, u − 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
1
a
7
=
1
1
a
11
=
−1
0
a
12
=
−1
0
a
2
=
a
a + 1
a
8
=
2
1
a
5
=
0
a
a
3
=
a
a
a
1
=
−1
0
a
9
=
1
1
a
4
=
−a
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4a − 5
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
c
5
u
2
− u + 1
c
2
u
2
+ u + 1
c
6
, c
7
, c
8
c
9
(u − 1)
2
c
10
(u + 1)
2
c
11
, c
12
u
2
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
y
2
+ y + 1
c
6
, c
7
, c
8
c
9
, c
10
(y −1)
2
c
11
, c
12
y
2
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
−1.64493 + 2.02988I −3.00000 − 3.46410I
u = 1.00000
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
−1.64493 − 2.02988I −3.00000 + 3.46410I
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)(u
130
+ 50u
129
+ ··· + 65u + 1)
c
2
(u
2
+ u + 1)(u
130
+ 2u
129
+ ··· − 3u + 1)
c
3
(u
2
− u + 1)(u
130
+ 85u
128
+ ··· + 118943u + 10463)
c
4
(u
2
− u + 1)(u
130
+ 2u
129
+ ··· − 221835u + 15679)
c
5
(u
2
− u + 1)(u
130
+ 2u
129
+ ··· − 3u + 1)
c
6
((u − 1)
2
)(u
130
+ 3u
129
+ ··· − 2u + 1)
c
7
((u − 1)
2
)(u
130
+ u
129
+ ··· − 2.18330 × 10
7
u + 2806801)
c
8
((u − 1)
2
)(u
130
+ 7u
129
+ ··· + u
2
+ 1)
c
9
((u − 1)
2
)(u
130
+ 61u
129
+ ··· − 2u + 1)
c
10
((u + 1)
2
)(u
130
+ 3u
129
+ ··· − 2u + 1)
c
11
u
2
(u
130
+ 3u
129
+ ··· − 5888u + 1088)
c
12
u
2
(u
130
+ 13u
129
+ ··· + 12u + 4)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ y + 1)(y
130
+ 62y
129
+ ··· − 1919y + 1)
c
2
, c
5
(y
2
+ y + 1)(y
130
+ 50y
129
+ ··· + 65y + 1)
c
3
(y
2
+ y + 1)(y
130
+ 170y
129
+ ··· + 3.78119 × 10
9
y + 1.09474 × 10
8
)
c
4
(y
2
+ y + 1)(y
130
+ 114y
129
+ ··· − 1.47930 × 10
10
y + 2.45831 × 10
8
)
c
6
, c
10
((y −1)
2
)(y
130
− 61y
129
+ ··· + 2y + 1)
c
7
(y −1)
2
· (y
130
− 69y
129
+ ··· − 65848387418830y + 7878131853601)
c
8
((y −1)
2
)(y
130
+ 11y
129
+ ··· + 2y + 1)
c
9
((y −1)
2
)(y
130
+ 19y
129
+ ··· − 194y + 1)
c
11
y
2
(y
130
+ 17y
129
+ ··· + 5.93934 × 10
7
y + 1183744)
c
12
y
2
(y
130
− 15y
129
+ ··· − 360y + 16)
23
