12n
0763
(K12n
0763
)
A knot diagram
1
Linearized knot diagam
4 7 9 8 11 2 12 2 1 7 5 10
Solving Sequence
1,4 2,9
10 3 8 5 12 7 6 11
c
1
c
9
c
3
c
8
c
4
c
12
c
7
c
6
c
11
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.59010 × 10
543
u
113
− 8.27251 × 10
543
u
112
+ ··· + 3.57252 × 10
542
b − 1.07356 × 10
547
,
− 8.06333 × 10
546
u
113
− 1.86629 × 10
547
u
112
+ ··· + 7.43442 × 10
545
a − 2.44436 × 10
550
,
u
114
+ 3u
113
+ ··· + 2274u + 2081i
I
u
2
= h−4.10551 × 10
56
u
39
+ 4.77048 × 10
57
u
38
+ ··· + 1.95140 × 10
54
b + 9.86101 × 10
56
,
1.94943 × 10
56
u
39
− 2.22118 × 10
57
u
38
+ ··· + 1.95140 × 10
54
a − 2.61580 × 10
56
, u
40
− 12u
39
+ ··· − 13u + 1i
* 2 irreducible components of dim
C
= 0, with total 154 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−3.59 × 10
543
u
113
− 8.27 × 10
543
u
112
+ · · · + 3.57 × 10
542
b − 1.07 ×
10
547
, −8.06 × 10
546
u
113
− 1.87 × 10
547
u
112
+ · · · + 7.43 × 10
545
a − 2.44 ×
10
550
, u
114
+ 3u
113
+ · · · + 2274u + 2081i
(i) Arc colorings
a
1
=
1
0
a
4
=
0
u
a
2
=
1
u
2
a
9
=
10.8459u
113
+ 25.1033u
112
+ ··· − 11515.0u + 32879.0
10.0492u
113
+ 23.1559u
112
+ ··· − 10227.3u + 30050.4
a
10
=
20.8951u
113
+ 48.2593u
112
+ ··· − 21742.3u + 62929.3
10.0492u
113
+ 23.1559u
112
+ ··· − 10227.3u + 30050.4
a
3
=
8.27906u
113
+ 18.6578u
112
+ ··· − 5511.22u + 22301.8
1.74357u
113
+ 3.90062u
112
+ ··· − 1096.27u + 4622.46
a
8
=
15.8478u
113
+ 36.5289u
112
+ ··· − 16078.0u + 47458.1
12.6154u
113
+ 29.0145u
112
+ ··· − 12495.6u + 37500.0
a
5
=
1.97516u
113
+ 4.35136u
112
+ ··· − 598.296u + 4503.78
−2.04245u
113
− 4.70649u
112
+ ··· + 2303.73u − 6285.34
a
12
=
−0.754139u
113
− 1.46500u
112
+ ··· − 1218.31u − 1437.16
1.46713u
113
+ 3.45524u
112
+ ··· − 2212.82u + 4710.28
a
7
=
−2.40049u
113
− 5.98805u
112
+ ··· + 5272.15u − 8510.38
1.09194u
113
+ 2.32750u
112
+ ··· + 159.454u + 2526.66
a
6
=
−0.774473u
113
− 2.15650u
112
+ ··· + 3195.50u − 3458.59
1.76349u
113
+ 3.93022u
112
+ ··· − 844.537u + 4704.44
a
11
=
13.2757u
113
+ 30.6061u
112
+ ··· − 13426.7u + 39886.1
7.22451u
113
+ 16.5415u
112
+ ··· − 6672.28u + 21112.1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −27.2813u
113
− 61.6278u
112
+ ··· + 18528.3u − 75934.0
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
114
− 3u
113
+ ··· − 2274u + 2081
c
2
, c
6
u
114
+ 31u
112
+ ··· − 8992u + 727
c
3
u
114
− u
113
+ ··· + 7575u + 971
c
4
u
114
− 3u
113
+ ··· + 677580u + 100759
c
5
, c
11
u
114
+ u
113
+ ··· − 32148u + 2295
c
7
u
114
+ 2u
113
+ ··· + 32727u + 2699
c
8
u
114
+ u
113
+ ··· − 789311u + 110833
c
9
, c
12
u
114
+ 5u
113
+ ··· + 925855u + 133141
c
10
u
114
+ 2u
113
+ ··· − 346643u + 24343
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
114
− 45y
113
+ ··· − 156805222y + 4330561
c
2
, c
6
y
114
+ 62y
113
+ ··· + 1324016y + 528529
c
3
y
114
− 19y
113
+ ··· + 62600019y + 942841
c
4
y
114
+ 9y
113
+ ··· + 511689441808y + 10152376081
c
5
, c
11
y
114
+ 69y
113
+ ··· − 334253304y + 5267025
c
7
y
114
+ 56y
113
+ ··· + 301217633y + 7284601
c
8
y
114
+ 9y
113
+ ··· + 275716760661y + 12283953889
c
9
, c
12
y
114
+ 81y
113
+ ··· + 550591102597y + 17726525881
c
10
y
114
+ 26y
113
+ ··· − 56765332723y + 592581649
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.851994 + 0.504017I
a = −1.116210 + 0.442124I
b = 1.023420 − 0.292356I
2.97109 + 4.63822I 0
u = −0.851994 − 0.504017I
a = −1.116210 − 0.442124I
b = 1.023420 + 0.292356I
2.97109 − 4.63822I 0
u = 0.845009 + 0.555915I
a = 1.61592 − 0.39524I
b = 0.135190 + 0.811390I
−0.707674 − 0.324986I 0
u = 0.845009 − 0.555915I
a = 1.61592 + 0.39524I
b = 0.135190 − 0.811390I
−0.707674 + 0.324986I 0
u = 0.686101 + 0.703250I
a = −0.99168 + 1.43135I
b = −0.236260 − 0.560884I
−1.24550 − 5.40870I 0
u = 0.686101 − 0.703250I
a = −0.99168 − 1.43135I
b = −0.236260 + 0.560884I
−1.24550 + 5.40870I 0
u = 0.954109 + 0.193392I
a = 1.347910 − 0.160318I
b = −0.76852 + 1.32150I
−4.58285 − 8.24512I 0
u = 0.954109 − 0.193392I
a = 1.347910 + 0.160318I
b = −0.76852 − 1.32150I
−4.58285 + 8.24512I 0
u = 0.062925 + 0.969586I
a = 0.607613 − 0.122925I
b = −0.457266 − 0.769234I
−2.51153 + 3.39313I 0
u = 0.062925 − 0.969586I
a = 0.607613 + 0.122925I
b = −0.457266 + 0.769234I
−2.51153 − 3.39313I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.650000 + 0.817817I
a = 0.018921 + 0.762542I
b = 0.355619 − 1.093280I
0.97619 − 4.48047I 0
u = −0.650000 − 0.817817I
a = 0.018921 − 0.762542I
b = 0.355619 + 1.093280I
0.97619 + 4.48047I 0
u = 0.830348 + 0.471871I
a = 1.090420 − 0.323446I
b = −1.144080 + 0.552948I
−2.07241 + 1.05209I 0
u = 0.830348 − 0.471871I
a = 1.090420 + 0.323446I
b = −1.144080 − 0.552948I
−2.07241 − 1.05209I 0
u = 0.874285 + 0.599901I
a = 1.025960 + 0.854483I
b = −0.124087 + 1.281480I
−6.79033 − 2.25683I 0
u = 0.874285 − 0.599901I
a = 1.025960 − 0.854483I
b = −0.124087 − 1.281480I
−6.79033 + 2.25683I 0
u = 0.605140 + 0.898454I
a = 0.783412 + 0.027219I
b = −0.523509 + 0.449968I
−1.66461 − 0.52335I 0
u = 0.605140 − 0.898454I
a = 0.783412 − 0.027219I
b = −0.523509 − 0.449968I
−1.66461 + 0.52335I 0
u = −0.804394 + 0.730472I
a = 1.004850 − 0.401851I
b = −0.772496 + 0.481845I
4.39806 + 1.29863I 0
u = −0.804394 − 0.730472I
a = 1.004850 + 0.401851I
b = −0.772496 − 0.481845I
4.39806 − 1.29863I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.881876 + 0.232164I
a = 1.82621 + 0.27664I
b = −0.408434 − 1.014710I
−9.56989 + 1.70883I 0
u = −0.881876 − 0.232164I
a = 1.82621 − 0.27664I
b = −0.408434 + 1.014710I
−9.56989 − 1.70883I 0
u = −0.555970 + 0.718502I
a = 1.69591 − 0.23484I
b = −0.561858 − 0.042991I
4.64834 + 3.47610I 0
u = −0.555970 − 0.718502I
a = 1.69591 + 0.23484I
b = −0.561858 + 0.042991I
4.64834 − 3.47610I 0
u = 0.814307 + 0.742788I
a = −1.192640 + 0.293662I
b = 0.594065 − 0.885387I
−0.65946 − 4.33596I 0
u = 0.814307 − 0.742788I
a = −1.192640 − 0.293662I
b = 0.594065 + 0.885387I
−0.65946 + 4.33596I 0
u = −0.552983 + 0.704808I
a = −2.25277 − 0.05257I
b = 0.356913 + 1.299850I
0.03202 + 3.45021I 0
u = −0.552983 − 0.704808I
a = −2.25277 + 0.05257I
b = 0.356913 − 1.299850I
0.03202 − 3.45021I 0
u = 0.732040 + 0.480323I
a = 0.901573 − 0.238380I
b = −0.181207 + 0.465934I
−1.35935 − 0.64842I 0
u = 0.732040 − 0.480323I
a = 0.901573 + 0.238380I
b = −0.181207 − 0.465934I
−1.35935 + 0.64842I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.633869 + 0.580808I
a = −1.48982 + 0.59117I
b = 0.559874 − 1.179820I
−1.07085 − 4.48507I 0
u = 0.633869 − 0.580808I
a = −1.48982 − 0.59117I
b = 0.559874 + 1.179820I
−1.07085 + 4.48507I 0
u = 0.680786 + 0.918688I
a = −0.781507 + 0.341837I
b = 1.05356 − 1.19760I
0.75649 − 4.61916I 0
u = 0.680786 − 0.918688I
a = −0.781507 − 0.341837I
b = 1.05356 + 1.19760I
0.75649 + 4.61916I 0
u = −0.799529 + 0.881465I
a = 0.298072 − 0.355219I
b = −0.365456 + 0.864107I
2.87362 + 0.48507I 0
u = −0.799529 − 0.881465I
a = 0.298072 + 0.355219I
b = −0.365456 − 0.864107I
2.87362 − 0.48507I 0
u = −0.835827 + 0.856527I
a = −0.814840 + 0.295511I
b = 1.41261 − 0.08915I
4.67756 + 4.79347I 0
u = −0.835827 − 0.856527I
a = −0.814840 − 0.295511I
b = 1.41261 + 0.08915I
4.67756 − 4.79347I 0
u = −0.549499 + 0.577126I
a = 0.497295 − 0.143096I
b = −1.174470 + 0.344613I
−3.34286 − 0.61178I 0
u = −0.549499 − 0.577126I
a = 0.497295 + 0.143096I
b = −1.174470 − 0.344613I
−3.34286 + 0.61178I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.426395 + 0.668131I
a = −1.57885 + 0.75109I
b = 0.770846 + 0.036048I
4.19234 − 0.66025I 0
u = −0.426395 − 0.668131I
a = −1.57885 − 0.75109I
b = 0.770846 − 0.036048I
4.19234 + 0.66025I 0
u = −0.773797 + 0.117900I
a = 0.413312 − 1.267150I
b = −0.20900 − 1.53489I
−10.59860 + 5.39876I 0
u = −0.773797 − 0.117900I
a = 0.413312 + 1.267150I
b = −0.20900 + 1.53489I
−10.59860 − 5.39876I 0
u = 1.191510 + 0.309364I
a = −0.940437 − 0.130867I
b = 0.038517 − 0.978434I
−8.04970 − 0.15755I 0
u = 1.191510 − 0.309364I
a = −0.940437 + 0.130867I
b = 0.038517 + 0.978434I
−8.04970 + 0.15755I 0
u = −1.198750 + 0.296502I
a = 0.67081 − 1.27885I
b = −0.108857 − 0.790326I
3.74798 + 3.02797I 0
u = −1.198750 − 0.296502I
a = 0.67081 + 1.27885I
b = −0.108857 + 0.790326I
3.74798 − 3.02797I 0
u = −0.893846 + 0.856961I
a = 0.577707 − 0.885988I
b = −0.789125 − 0.307620I
1.85532 − 5.76158I 0
u = −0.893846 − 0.856961I
a = 0.577707 + 0.885988I
b = −0.789125 + 0.307620I
1.85532 + 5.76158I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.945663 + 0.813917I
a = 0.977446 − 0.228322I
b = −1.326200 − 0.014852I
1.63745 + 11.99730I 0
u = −0.945663 − 0.813917I
a = 0.977446 + 0.228322I
b = −1.326200 + 0.014852I
1.63745 − 11.99730I 0
u = −0.749415 + 0.034593I
a = −0.39589 − 2.91919I
b = −0.04248 − 1.41497I
−4.22141 − 3.19068I 0
u = −0.749415 − 0.034593I
a = −0.39589 + 2.91919I
b = −0.04248 + 1.41497I
−4.22141 + 3.19068I 0
u = −1.022960 + 0.742897I
a = −1.44413 + 0.06721I
b = 0.565108 + 1.243700I
−0.09060 + 10.32880I 0
u = −1.022960 − 0.742897I
a = −1.44413 − 0.06721I
b = 0.565108 − 1.243700I
−0.09060 − 10.32880I 0
u = −0.603626 + 1.114650I
a = 1.42649 + 0.65030I
b = −0.299112 − 1.290190I
0.52527 + 6.81095I 0
u = −0.603626 − 1.114650I
a = 1.42649 − 0.65030I
b = −0.299112 + 1.290190I
0.52527 − 6.81095I 0
u = 0.698395 + 0.206123I
a = 2.78597 + 0.02436I
b = 0.182028 + 1.008330I
−1.43242 + 1.82610I 0
u = 0.698395 − 0.206123I
a = 2.78597 − 0.02436I
b = 0.182028 − 1.008330I
−1.43242 − 1.82610I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.006890 + 0.787806I
a = 0.653808 + 0.227823I
b = −0.739466 − 0.116270I
−2.66998 − 5.67068I 0
u = 1.006890 − 0.787806I
a = 0.653808 − 0.227823I
b = −0.739466 + 0.116270I
−2.66998 + 5.67068I 0
u = 1.165500 + 0.547377I
a = −0.229038 − 0.291769I
b = −0.006873 − 1.328220I
−7.45621 − 3.48307I 0
u = 1.165500 − 0.547377I
a = −0.229038 + 0.291769I
b = −0.006873 + 1.328220I
−7.45621 + 3.48307I 0
u = −0.984604 + 0.835022I
a = 1.42040 − 0.11434I
b = −0.457453 − 1.120430I
2.34033 + 5.86991I 0
u = −0.984604 − 0.835022I
a = 1.42040 + 0.11434I
b = −0.457453 + 1.120430I
2.34033 − 5.86991I 0
u = −0.438413 + 1.220390I
a = −0.334115 + 0.378012I
b = 0.693527 − 1.042910I
2.94904 − 4.52164I 0
u = −0.438413 − 1.220390I
a = −0.334115 − 0.378012I
b = 0.693527 + 1.042910I
2.94904 + 4.52164I 0
u = −0.702841 + 0.016621I
a = 0.08703 + 1.42314I
b = 0.090578 + 1.409070I
−4.29084 + 2.06705I 0
u = −0.702841 − 0.016621I
a = 0.08703 − 1.42314I
b = 0.090578 − 1.409070I
−4.29084 − 2.06705I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.655407 + 0.243830I
a = −3.48658 − 0.47355I
b = 0.070042 + 1.003510I
−8.64108 + 0.28935I 0
u = −0.655407 − 0.243830I
a = −3.48658 + 0.47355I
b = 0.070042 − 1.003510I
−8.64108 − 0.28935I 0
u = −1.015380 + 0.813444I
a = −0.634195 + 0.680441I
b = 0.914618 + 0.682727I
4.15941 + 1.44751I 0
u = −1.015380 − 0.813444I
a = −0.634195 − 0.680441I
b = 0.914618 − 0.682727I
4.15941 − 1.44751I 0
u = −1.304250 + 0.091024I
a = −0.152669 − 0.148266I
b = 0.09799 + 1.48182I
−3.66881 − 0.67893I 0
u = −1.304250 − 0.091024I
a = −0.152669 + 0.148266I
b = 0.09799 − 1.48182I
−3.66881 + 0.67893I 0
u = −0.657083 + 0.164319I
a = 0.358525 − 0.160160I
b = −0.54340 + 2.06760I
−3.81606 + 4.01380I 0
u = −0.657083 − 0.164319I
a = 0.358525 + 0.160160I
b = −0.54340 − 2.06760I
−3.81606 − 4.01380I 0
u = 0.793701 + 1.083360I
a = 0.762700 − 0.565096I
b = −0.280882 + 1.061990I
−5.22173 − 6.26301I 0
u = 0.793701 − 1.083360I
a = 0.762700 + 0.565096I
b = −0.280882 − 1.061990I
−5.22173 + 6.26301I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.836742 + 1.067160I
a = −0.238760 − 0.139086I
b = 0.129261 − 0.688816I
−2.49544 + 3.97876I 0
u = −0.836742 − 1.067160I
a = −0.238760 + 0.139086I
b = 0.129261 + 0.688816I
−2.49544 − 3.97876I 0
u = 1.080580 + 0.854882I
a = −0.0220968 − 0.1061530I
b = 0.328157 + 0.372151I
−1.51118 − 1.39194I 0
u = 1.080580 − 0.854882I
a = −0.0220968 + 0.1061530I
b = 0.328157 − 0.372151I
−1.51118 + 1.39194I 0
u = 0.593718 + 0.179752I
a = −1.39408 − 0.39089I
b = 1.051980 + 0.633173I
0.84341 + 1.47086I 0
u = 0.593718 − 0.179752I
a = −1.39408 + 0.39089I
b = 1.051980 − 0.633173I
0.84341 − 1.47086I 0
u = 0.493980 + 0.317625I
a = 0.937414 − 0.739185I
b = −1.04289 − 1.07285I
−4.29448 − 1.80145I −9.60875 + 0.I
u = 0.493980 − 0.317625I
a = 0.937414 + 0.739185I
b = −1.04289 + 1.07285I
−4.29448 + 1.80145I −9.60875 + 0.I
u = 0.561955 + 0.018127I
a = −4.24999 − 2.73769I
b = −0.191201 − 1.083290I
−2.80166 + 7.30370I −8.30952 − 5.85238I
u = 0.561955 − 0.018127I
a = −4.24999 + 2.73769I
b = −0.191201 + 1.083290I
−2.80166 − 7.30370I −8.30952 + 5.85238I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.26925 + 0.72936I
a = 0.828493 − 0.364572I
b = −0.668207 − 1.236750I
−6.15819 + 5.77118I 0
u = −1.26925 − 0.72936I
a = 0.828493 + 0.364572I
b = −0.668207 + 1.236750I
−6.15819 − 5.77118I 0
u = 0.452020 + 0.216521I
a = −2.41319 − 0.08031I
b = 0.59513 − 1.44819I
−0.80423 − 4.27055I −0.48463 + 5.72907I
u = 0.452020 − 0.216521I
a = −2.41319 + 0.08031I
b = 0.59513 + 1.44819I
−0.80423 + 4.27055I −0.48463 − 5.72907I
u = −1.24291 + 0.84349I
a = −1.120300 + 0.310078I
b = 0.66041 + 1.39444I
0.57250 + 11.80900I 0
u = −1.24291 − 0.84349I
a = −1.120300 − 0.310078I
b = 0.66041 − 1.39444I
0.57250 − 11.80900I 0
u = 1.33241 + 0.78412I
a = 1.018580 + 0.399893I
b = −0.453842 + 1.235090I
−6.09735 − 10.15500I 0
u = 1.33241 − 0.78412I
a = 1.018580 − 0.399893I
b = −0.453842 − 1.235090I
−6.09735 + 10.15500I 0
u = −1.26228 + 0.91600I
a = 1.176470 − 0.136269I
b = −0.60887 − 1.42566I
−2.8819 + 18.6658I 0
u = −1.26228 − 0.91600I
a = 1.176470 + 0.136269I
b = −0.60887 + 1.42566I
−2.8819 − 18.6658I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.057520 + 0.413685I
a = −1.056710 + 0.741967I
b = 0.594242 + 0.288655I
1.117370 + 0.291182I 8.38562 − 0.26124I
u = 0.057520 − 0.413685I
a = −1.056710 − 0.741967I
b = 0.594242 − 0.288655I
1.117370 − 0.291182I 8.38562 + 0.26124I
u = 1.52411 + 0.57971I
a = −0.560070 − 0.560133I
b = 0.357677 − 1.146480I
−4.02196 − 4.45374I 0
u = 1.52411 − 0.57971I
a = −0.560070 + 0.560133I
b = 0.357677 + 1.146480I
−4.02196 + 4.45374I 0
u = −0.68354 + 1.50880I
a = 0.192961 − 0.407127I
b = −0.475157 + 1.174560I
−0.83973 − 10.47620I 0
u = −0.68354 − 1.50880I
a = 0.192961 + 0.407127I
b = −0.475157 − 1.174560I
−0.83973 + 10.47620I 0
u = 1.34539 + 1.03982I
a = 0.759443 − 0.215195I
b = −0.27159 + 1.48784I
−8.89716 − 3.38553I 0
u = 1.34539 − 1.03982I
a = 0.759443 + 0.215195I
b = −0.27159 − 1.48784I
−8.89716 + 3.38553I 0
u = 1.29317 + 1.24467I
a = −0.629447 + 0.339445I
b = 0.11910 − 1.47515I
−8.29632 − 5.97727I 0
u = 1.29317 − 1.24467I
a = −0.629447 − 0.339445I
b = 0.11910 + 1.47515I
−8.29632 + 5.97727I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.45139 + 1.20131I
a = −0.661432 + 0.054596I
b = 0.146139 + 1.078340I
−3.74346 + 5.27551I 0
u = −1.45139 − 1.20131I
a = −0.661432 − 0.054596I
b = 0.146139 − 1.078340I
−3.74346 − 5.27551I 0
u = 2.79086 + 0.10430I
a = 0.007741 − 0.159276I
b = −0.164343 − 0.996726I
−11.84140 + 0.67173I 0
u = 2.79086 − 0.10430I
a = 0.007741 + 0.159276I
b = −0.164343 + 0.996726I
−11.84140 − 0.67173I 0
16
II. I
u
2
= h−4.11 × 10
56
u
39
+ 4.77 × 10
57
u
38
+ · · · + 1.95 × 10
54
b + 9.86 ×
10
56
, 1.95 × 10
56
u
39
− 2.22 × 10
57
u
38
+ · · · + 1.95 × 10
54
a − 2.62 ×
10
56
, u
40
− 12u
39
+ · · · − 13u + 1i
(i) Arc colorings
a
1
=
1
0
a
4
=
0
u
a
2
=
1
u
2
a
9
=
−99.8990u
39
+ 1138.25u
38
+ ··· − 1631.79u + 134.047
210.388u
39
− 2444.64u
38
+ ··· + 5456.34u − 505.330
a
10
=
110.489u
39
− 1306.39u
38
+ ··· + 3824.55u − 371.282
210.388u
39
− 2444.64u
38
+ ··· + 5456.34u − 505.330
a
3
=
408.196u
39
− 4726.35u
38
+ ··· + 9754.53u − 886.579
−84.0848u
39
+ 987.608u
38
+ ··· − 2786.07u + 281.198
a
8
=
142.879u
39
− 1678.71u
38
+ ··· + 4511.66u − 431.821
246.038u
39
− 2859.72u
38
+ ··· + 6466.46u − 601.706
a
5
=
249.407u
39
− 2850.43u
38
+ ··· + 3923.03u − 293.604
58.5821u
39
− 659.117u
38
+ ··· + 386.945u − 2.68274
a
12
=
−34.8208u
39
+ 460.736u
38
+ ··· − 3749.86u + 427.753
246.377u
39
− 2829.55u
38
+ ··· + 5025.98u − 441.746
a
7
=
−15.3396u
39
+ 186.951u
38
+ ··· − 561.014u + 43.9058
−130.238u
39
+ 1529.37u
38
+ ··· − 4188.59u + 410.753
a
6
=
−154.270u
39
+ 1812.36u
38
+ ··· − 4802.33u + 457.535
−140.958u
39
+ 1655.86u
38
+ ··· − 4592.45u + 452.506
a
11
=
65.1236u
39
− 779.184u
38
+ ··· + 2472.75u − 227.473
278.168u
39
− 3233.59u
38
+ ··· + 7495.68u − 708.706
(ii) Obstruction class = 1
(iii) Cusp Shapes = −1022.42u
39
+ 11967.0u
38
+ ··· − 31498.0u + 3109.09
17
(iv) u-Polynomials at the component
18
Crossings u-Polynomials at each crossing
c
1
u
40
− 12u
39
+ ··· − 13u + 1
c
2
u
40
− 3u
39
+ ··· + 3u + 1
c
3
u
40
− 12u
38
+ ··· − 62u + 11
c
4
u
40
+ 15u
37
+ ··· − 433u + 143
c
5
u
40
+ 16u
38
+ ··· − 19u + 5
c
6
u
40
+ 3u
39
+ ··· − 3u + 1
c
7
u
40
+ u
39
+ ··· − 2u + 1
c
8
u
40
− 4u
38
+ ··· − 8u + 5
c
9
u
40
+ 2u
39
+ ··· + 16u + 1
c
10
u
40
+ u
39
+ ··· − 1530u + 209
c
11
u
40
+ 16u
38
+ ··· + 19u + 5
c
12
u
40
− 2u
39
+ ··· − 16u + 1
19
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
40
− 26y
39
+ ··· − 31y + 1
c
2
, c
6
y
40
+ 9y
39
+ ··· − 17y + 1
c
3
y
40
− 24y
39
+ ··· + 50y + 121
c
4
y
40
− 42y
38
+ ··· + 190031y + 20449
c
5
, c
11
y
40
+ 32y
39
+ ··· + 279y + 25
c
7
y
40
+ 27y
39
+ ··· + 20y + 1
c
8
y
40
− 8y
39
+ ··· − 444y + 25
c
9
, c
12
y
40
+ 36y
39
+ ··· + 28y + 1
c
10
y
40
+ 33y
39
+ ··· − 2363472y + 43681
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.957915 + 0.220941I
a = −1.65799 + 0.12438I
b = 0.173257 + 1.060960I
−10.17420 + 0.76157I −10.51805 + 0.I
u = −0.957915 − 0.220941I
a = −1.65799 − 0.12438I
b = 0.173257 − 1.060960I
−10.17420 − 0.76157I −10.51805 + 0.I
u = −0.940572 + 0.518692I
a = 0.215793 − 0.082147I
b = −0.47191 + 1.38052I
−3.46326 + 2.49269I 0
u = −0.940572 − 0.518692I
a = 0.215793 + 0.082147I
b = −0.47191 − 1.38052I
−3.46326 − 2.49269I 0
u = 0.577842 + 0.923327I
a = −0.762120 + 0.443077I
b = 1.03074 − 1.18611I
0.83905 − 4.87391I 0
u = 0.577842 − 0.923327I
a = −0.762120 − 0.443077I
b = 1.03074 + 1.18611I
0.83905 + 4.87391I 0
u = −0.904806 + 0.643282I
a = −0.926298 + 0.674376I
b = 0.709188 + 0.171836I
4.62609 + 2.70135I 0
u = −0.904806 − 0.643282I
a = −0.926298 − 0.674376I
b = 0.709188 − 0.171836I
4.62609 − 2.70135I 0
u = 1.089130 + 0.310663I
a = −0.230799 − 0.860542I
b = 0.125450 − 1.285940I
−5.32985 − 2.81809I 0
u = 1.089130 − 0.310663I
a = −0.230799 + 0.860542I
b = 0.125450 + 1.285940I
−5.32985 + 2.81809I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.757486 + 0.413737I
a = −1.31501 + 1.13630I
b = 0.389042 − 0.015994I
4.58093 + 2.75968I 5.74012 − 0.32593I
u = −0.757486 − 0.413737I
a = −1.31501 − 1.13630I
b = 0.389042 + 0.015994I
4.58093 − 2.75968I 5.74012 + 0.32593I
u = 0.835484 + 0.163747I
a = 0.490142 + 1.124950I
b = −0.19556 + 1.51752I
−10.74590 − 5.50038I −22.1827 + 16.5048I
u = 0.835484 − 0.163747I
a = 0.490142 − 1.124950I
b = −0.19556 − 1.51752I
−10.74590 + 5.50038I −22.1827 − 16.5048I
u = 0.857608 + 0.805558I
a = −0.535152 + 0.395063I
b = 0.099028 + 0.136259I
−4.03983 − 4.81313I 0
u = 0.857608 − 0.805558I
a = −0.535152 − 0.395063I
b = 0.099028 − 0.136259I
−4.03983 + 4.81313I 0
u = −0.716928 + 0.942833I
a = −1.65882 − 0.37419I
b = 0.305571 + 1.266510I
0.75603 + 6.13369I 0
u = −0.716928 − 0.942833I
a = −1.65882 + 0.37419I
b = 0.305571 − 1.266510I
0.75603 − 6.13369I 0
u = 0.580069 + 0.446653I
a = 0.741565 − 0.353664I
b = −1.246050 + 0.011269I
−3.95408 + 0.58100I −9.16193 + 1.66269I
u = 0.580069 − 0.446653I
a = 0.741565 + 0.353664I
b = −1.246050 − 0.011269I
−3.95408 − 0.58100I −9.16193 − 1.66269I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.497446 + 0.421973I
a = −2.97680 + 0.76067I
b = 0.388512 − 1.192210I
−0.97519 − 3.20392I −2.96191 + 2.18739I
u = 0.497446 − 0.421973I
a = −2.97680 − 0.76067I
b = 0.388512 + 1.192210I
−0.97519 + 3.20392I −2.96191 − 2.18739I
u = −0.621579 + 0.176725I
a = 3.59902 + 0.00321I
b = −0.190185 − 1.072050I
−8.67168 + 0.84442I −5.07285 − 8.15591I
u = −0.621579 − 0.176725I
a = 3.59902 − 0.00321I
b = −0.190185 + 1.072050I
−8.67168 − 0.84442I −5.07285 + 8.15591I
u = 1.130430 + 0.790751I
a = 0.444535 − 0.200165I
b = 0.137656 + 0.379521I
−1.88914 − 1.60912I 0
u = 1.130430 − 0.790751I
a = 0.444535 + 0.200165I
b = 0.137656 − 0.379521I
−1.88914 + 1.60912I 0
u = 0.211306 + 0.579957I
a = 0.31812 − 3.34048I
b = −0.335254 + 1.065060I
−2.02942 − 7.54693I 0.91634 + 8.70936I
u = 0.211306 − 0.579957I
a = 0.31812 + 3.34048I
b = −0.335254 − 1.065060I
−2.02942 + 7.54693I 0.91634 − 8.70936I
u = 0.394550 + 0.150700I
a = −0.36439 − 2.49657I
b = −0.30748 − 1.64295I
−3.20382 − 3.66648I 1.49841 + 4.00857I
u = 0.394550 − 0.150700I
a = −0.36439 + 2.49657I
b = −0.30748 + 1.64295I
−3.20382 + 3.66648I 1.49841 − 4.00857I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.390222 + 0.052928I
a = −2.02317 − 0.97955I
b = 0.934838 + 0.594171I
1.14301 + 1.69574I 9.37429 − 7.47923I
u = 0.390222 − 0.052928I
a = −2.02317 + 0.97955I
b = 0.934838 − 0.594171I
1.14301 − 1.69574I 9.37429 + 7.47923I
u = −1.18444 + 1.25835I
a = 0.703467 + 0.057310I
b = −0.285656 − 1.054060I
−3.09404 + 5.74542I 0
u = −1.18444 − 1.25835I
a = 0.703467 − 0.057310I
b = −0.285656 + 1.054060I
−3.09404 − 5.74542I 0
u = 1.41921 + 1.05213I
a = 0.632349 − 0.155034I
b = −0.25982 + 1.42657I
−9.33189 − 3.96127I 0
u = 1.41921 − 1.05213I
a = 0.632349 + 0.155034I
b = −0.25982 − 1.42657I
−9.33189 + 3.96127I 0
u = 1.35052 + 1.24961I
a = −0.623104 + 0.255444I
b = 0.11923 − 1.41397I
−8.77032 − 5.75888I 0
u = 1.35052 − 1.24961I
a = −0.623104 − 0.255444I
b = 0.11923 + 1.41397I
−8.77032 + 5.75888I 0
u = 2.74991 + 0.04072I
a = −0.071328 − 0.134868I
b = −0.120596 − 1.024610I
−11.93950 + 0.49739I 0
u = 2.74991 − 0.04072I
a = −0.071328 + 0.134868I
b = −0.120596 + 1.024610I
−11.93950 − 0.49739I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
40
− 12u
39
+ ··· − 13u + 1)(u
114
− 3u
113
+ ··· − 2274u + 2081)
c
2
(u
40
− 3u
39
+ ··· + 3u + 1)(u
114
+ 31u
112
+ ··· − 8992u + 727)
c
3
(u
40
− 12u
38
+ ··· − 62u + 11)(u
114
− u
113
+ ··· + 7575u + 971)
c
4
(u
40
+ 15u
37
+ ··· − 433u + 143)
· (u
114
− 3u
113
+ ··· + 677580u + 100759)
c
5
(u
40
+ 16u
38
+ ··· − 19u + 5)(u
114
+ u
113
+ ··· − 32148u + 2295)
c
6
(u
40
+ 3u
39
+ ··· − 3u + 1)(u
114
+ 31u
112
+ ··· − 8992u + 727)
c
7
(u
40
+ u
39
+ ··· − 2u + 1)(u
114
+ 2u
113
+ ··· + 32727u + 2699)
c
8
(u
40
− 4u
38
+ ··· − 8u + 5)(u
114
+ u
113
+ ··· − 789311u + 110833)
c
9
(u
40
+ 2u
39
+ ··· + 16u + 1)(u
114
+ 5u
113
+ ··· + 925855u + 133141)
c
10
(u
40
+ u
39
+ ··· − 1530u + 209)
· (u
114
+ 2u
113
+ ··· − 346643u + 24343)
c
11
(u
40
+ 16u
38
+ ··· + 19u + 5)(u
114
+ u
113
+ ··· − 32148u + 2295)
c
12
(u
40
− 2u
39
+ ··· − 16u + 1)(u
114
+ 5u
113
+ ··· + 925855u + 133141)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
40
− 26y
39
+ ··· − 31y + 1)
· (y
114
− 45y
113
+ ··· − 156805222y + 4330561)
c
2
, c
6
(y
40
+ 9y
39
+ ··· − 17y + 1)
· (y
114
+ 62y
113
+ ··· + 1324016y + 528529)
c
3
(y
40
− 24y
39
+ ··· + 50y + 121)
· (y
114
− 19y
113
+ ··· + 62600019y + 942841)
c
4
(y
40
− 42y
38
+ ··· + 190031y + 20449)
· (y
114
+ 9y
113
+ ··· + 511689441808y + 10152376081)
c
5
, c
11
(y
40
+ 32y
39
+ ··· + 279y + 25)
· (y
114
+ 69y
113
+ ··· − 334253304y + 5267025)
c
7
(y
40
+ 27y
39
+ ··· + 20y + 1)
· (y
114
+ 56y
113
+ ··· + 301217633y + 7284601)
c
8
(y
40
− 8y
39
+ ··· − 444y + 25)
· (y
114
+ 9y
113
+ ··· + 275716760661y + 12283953889)
c
9
, c
12
(y
40
+ 36y
39
+ ··· + 28y + 1)
· (y
114
+ 81y
113
+ ··· + 550591102597y + 17726525881)
c
10
(y
40
+ 33y
39
+ ··· − 2363472y + 43681)
· (y
114
+ 26y
113
+ ··· − 56765332723y + 592581649)
27
