12a
0468
(K12a
0468
)
A knot diagram
1
Linearized knot diagam
3 6 11 8 2 10 5 12 7 1 4 9
Solving Sequence
8,12
9
1,5
4 7 10 6 11 3 2
c
8
c
12
c
4
c
7
c
9
c
6
c
11
c
3
c
2
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−9.26391 × 10
528
u
121
+ 1.05469 × 10
529
u
120
+ ··· + 6.31937 × 10
529
b + 1.64702 × 10
533
,
8.57740 × 10
533
u
121
− 9.52881 × 10
533
u
120
+ ··· + 1.28985 × 10
534
a − 1.58398 × 10
538
,
u
122
− 46u
120
+ ··· − 329813u − 20411i
I
u
2
= h30599u
26
− 159948u
25
+ ··· + 96731b + 60044,
− 112679u
26
+ 544868u
25
+ ··· + 96731a + 61134, u
27
− 7u
26
+ ··· − 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 149 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−9.26 × 10
528
u
121
+ 1.05 × 10
529
u
120
+ · · · + 6.32 × 10
529
b + 1.65 ×
10
533
, 8.58 × 10
533
u
121
− 9.53 × 10
533
u
120
+ · · · + 1.29 × 10
534
a − 1.58 ×
10
538
, u
122
− 46u
120
+ · · · − 329813u − 20411i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
9
=
1
−u
2
a
1
=
u
−u
3
+ u
a
5
=
−0.664993u
121
+ 0.738755u
120
+ ··· + 187219.u + 12280.4
0.146595u
121
− 0.166899u
120
+ ··· − 39879.7u − 2606.30
a
4
=
−0.518398u
121
+ 0.571856u
120
+ ··· + 147339.u + 9674.07
0.146595u
121
− 0.166899u
120
+ ··· − 39879.7u − 2606.30
a
7
=
−0.518225u
121
+ 0.534264u
120
+ ··· + 154724.u + 10182.6
0.0675599u
121
− 0.0594037u
120
+ ··· − 22498.9u − 1486.46
a
10
=
−2.58679u
121
+ 2.79238u
120
+ ··· + 744064.u + 48838.4
0.486404u
121
− 0.509217u
120
+ ··· − 143474.u − 9429.90
a
6
=
−11.6756u
121
+ 12.7481u
120
+ ··· + 3.32414 × 10
6
u + 218060.
2.38119u
121
− 2.56874u
120
+ ··· − 684613.u − 44934.0
a
11
=
−2.51142u
121
+ 2.71118u
120
+ ··· + 722356.u + 47412.4
0.474861u
121
− 0.498385u
120
+ ··· − 139939.u − 9198.53
a
3
=
−2.33035u
121
+ 2.88454u
120
+ ··· + 581831.u + 37845.7
1.32325u
121
− 1.52667u
120
+ ··· − 356834.u − 23317.1
a
2
=
−11.0534u
121
+ 12.1726u
120
+ ··· + 3.12432 × 10
6
u + 204861.
2.49935u
121
− 2.76006u
120
+ ··· − 704365.u − 46177.5
(ii) Obstruction class = −1
(iii) Cusp Shapes = −8.86340u
121
+ 9.44042u
120
+ ··· + 2.58147 × 10
6
u + 169581.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
122
+ 54u
121
+ ··· + 234560u + 3721
c
2
, c
5
u
122
+ 4u
121
+ ··· + 768u − 61
c
3
, c
11
u
122
+ u
121
+ ··· − 165778u + 43807
c
4
, c
7
u
122
− 3u
121
+ ··· − 48567u − 5581
c
6
, c
9
u
122
+ 11u
121
+ ··· + 3691u + 583
c
8
, c
12
u
122
− 46u
120
+ ··· + 329813u − 20411
c
10
u
122
+ 18u
121
+ ··· − 1396048u − 97927
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
122
+ 42y
121
+ ··· − 15419630672y + 13845841
c
2
, c
5
y
122
− 54y
121
+ ··· − 234560y + 3721
c
3
, c
11
y
122
− 91y
121
+ ··· + 72533065960y + 1919053249
c
4
, c
7
y
122
+ 107y
121
+ ··· − 8059253861y + 31147561
c
6
, c
9
y
122
+ 47y
121
+ ··· + 16292581y + 339889
c
8
, c
12
y
122
− 92y
121
+ ··· + 736931829y + 416608921
c
10
y
122
− 34y
121
+ ··· − 80169514796y + 9589697329
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.185283 + 0.995240I
a = 0.434314 − 0.123749I
b = 0.083889 + 1.405940I
6.74660 − 6.32099I 0
u = −0.185283 − 0.995240I
a = 0.434314 + 0.123749I
b = 0.083889 − 1.405940I
6.74660 + 6.32099I 0
u = −0.983304 + 0.072186I
a = −0.186724 − 0.967483I
b = 0.0603164 − 0.0387061I
1.68246 − 2.04205I 0
u = −0.983304 − 0.072186I
a = −0.186724 + 0.967483I
b = 0.0603164 + 0.0387061I
1.68246 + 2.04205I 0
u = −0.313196 + 0.971427I
a = 0.265354 + 1.292510I
b = −0.303709 − 0.441266I
−4.76986 − 0.10029I 0
u = −0.313196 − 0.971427I
a = 0.265354 − 1.292510I
b = −0.303709 + 0.441266I
−4.76986 + 0.10029I 0
u = 0.919052 + 0.479728I
a = −0.505013 + 0.467012I
b = 0.869825 − 0.014469I
−0.38199 + 2.73563I 0
u = 0.919052 − 0.479728I
a = −0.505013 − 0.467012I
b = 0.869825 + 0.014469I
−0.38199 − 2.73563I 0
u = −1.015850 + 0.256086I
a = −1.048490 − 0.393541I
b = −0.229222 − 0.528802I
2.53416 + 1.42657I 0
u = −1.015850 − 0.256086I
a = −1.048490 + 0.393541I
b = −0.229222 + 0.528802I
2.53416 − 1.42657I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.617681 + 0.862562I
a = −0.158895 − 0.454665I
b = −0.478962 + 0.583740I
−5.47979 + 3.39146I 0
u = 0.617681 − 0.862562I
a = −0.158895 + 0.454665I
b = −0.478962 − 0.583740I
−5.47979 − 3.39146I 0
u = −1.094060 + 0.025243I
a = 1.25305 − 4.74859I
b = 0.025554 + 1.075220I
3.54795 + 1.94440I 0
u = −1.094060 − 0.025243I
a = 1.25305 + 4.74859I
b = 0.025554 − 1.075220I
3.54795 − 1.94440I 0
u = 0.212618 + 0.880188I
a = 0.042175 + 1.122760I
b = −0.442932 − 0.811781I
−4.92295 − 0.38816I 0
u = 0.212618 − 0.880188I
a = 0.042175 − 1.122760I
b = −0.442932 + 0.811781I
−4.92295 + 0.38816I 0
u = −1.090100 + 0.143218I
a = 1.99869 − 1.36653I
b = 0.213229 + 1.033570I
3.31035 − 2.58307I 0
u = −1.090100 − 0.143218I
a = 1.99869 + 1.36653I
b = 0.213229 − 1.033570I
3.31035 + 2.58307I 0
u = −0.254380 + 1.082060I
a = −0.432421 + 0.207693I
b = −0.001503 − 1.387090I
7.67004 − 0.40713I 0
u = −0.254380 − 1.082060I
a = −0.432421 − 0.207693I
b = −0.001503 + 1.387090I
7.67004 + 0.40713I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.090430 + 0.258405I
a = −0.35121 − 1.87368I
b = 0.26151 + 1.52819I
4.83023 − 1.99731I 0
u = 1.090430 − 0.258405I
a = −0.35121 + 1.87368I
b = 0.26151 − 1.52819I
4.83023 + 1.99731I 0
u = 1.001540 + 0.527659I
a = 0.587001 − 0.336708I
b = −0.884271 − 0.193902I
−1.57250 + 7.74927I 0
u = 1.001540 − 0.527659I
a = 0.587001 + 0.336708I
b = −0.884271 + 0.193902I
−1.57250 − 7.74927I 0
u = −1.130960 + 0.223715I
a = 0.53891 − 1.92792I
b = 0.62911 + 2.00733I
9.17958 − 4.12880I 0
u = −1.130960 − 0.223715I
a = 0.53891 + 1.92792I
b = 0.62911 − 2.00733I
9.17958 + 4.12880I 0
u = −1.125760 + 0.253622I
a = 0.511983 − 0.428645I
b = 0.758439 + 0.708769I
3.64396 − 3.00386I 0
u = −1.125760 − 0.253622I
a = 0.511983 + 0.428645I
b = 0.758439 − 0.708769I
3.64396 + 3.00386I 0
u = −1.138500 + 0.248182I
a = −0.75065 + 1.90644I
b = −0.35236 − 2.00818I
9.07248 + 1.65253I 0
u = −1.138500 − 0.248182I
a = −0.75065 − 1.90644I
b = −0.35236 + 2.00818I
9.07248 − 1.65253I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.963772 + 0.735482I
a = 0.348408 + 0.019050I
b = −0.319827 − 0.365548I
−4.51317 + 2.35259I 0
u = 0.963772 − 0.735482I
a = 0.348408 − 0.019050I
b = −0.319827 + 0.365548I
−4.51317 − 2.35259I 0
u = 1.187670 + 0.257386I
a = 0.23652 + 1.93229I
b = 0.00178 − 1.56169I
5.58538 + 3.88018I 0
u = 1.187670 − 0.257386I
a = 0.23652 − 1.93229I
b = 0.00178 + 1.56169I
5.58538 − 3.88018I 0
u = −1.224900 + 0.132148I
a = −0.73527 + 1.92025I
b = −0.024419 − 1.313570I
4.60074 + 0.06454I 0
u = −1.224900 − 0.132148I
a = −0.73527 − 1.92025I
b = −0.024419 + 1.313570I
4.60074 − 0.06454I 0
u = 0.349897 + 0.670589I
a = −0.298869 − 0.710686I
b = −0.780936 + 0.454130I
−3.40658 − 3.29129I 0
u = 0.349897 − 0.670589I
a = −0.298869 + 0.710686I
b = −0.780936 − 0.454130I
−3.40658 + 3.29129I 0
u = −1.232020 + 0.242519I
a = −0.458416 − 0.297642I
b = 1.54582 + 0.35213I
4.28648 − 5.49663I 0
u = −1.232020 − 0.242519I
a = −0.458416 + 0.297642I
b = 1.54582 − 0.35213I
4.28648 + 5.49663I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.103548 + 0.733188I
a = −0.319880 + 0.705862I
b = −0.611185 − 1.009860I
−1.77326 − 8.36598I 0
u = 0.103548 − 0.733188I
a = −0.319880 − 0.705862I
b = −0.611185 + 1.009860I
−1.77326 + 8.36598I 0
u = 0.508711 + 0.517972I
a = 0.020939 + 0.810543I
b = 0.702476 − 0.389803I
−1.55574 + 1.18943I 0
u = 0.508711 − 0.517972I
a = 0.020939 − 0.810543I
b = 0.702476 + 0.389803I
−1.55574 − 1.18943I 0
u = −1.259230 + 0.239950I
a = 0.605728 + 0.167825I
b = −1.66675 − 0.17193I
2.77395 − 11.03740I 0
u = −1.259230 − 0.239950I
a = 0.605728 − 0.167825I
b = −1.66675 + 0.17193I
2.77395 + 11.03740I 0
u = 1.28424
a = −0.182483
b = 1.09077
2.33642 0
u = −1.242320 + 0.327818I
a = 0.206622 − 0.146648I
b = −1.129820 + 0.001367I
−1.50052 − 4.11143I 0
u = −1.242320 − 0.327818I
a = 0.206622 + 0.146648I
b = −1.129820 − 0.001367I
−1.50052 + 4.11143I 0
u = 1.256120 + 0.328598I
a = −0.08162 − 2.02613I
b = −0.191382 + 1.230830I
−1.42430 + 4.48045I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.256120 − 0.328598I
a = −0.08162 + 2.02613I
b = −0.191382 − 1.230830I
−1.42430 − 4.48045I 0
u = 0.111179 + 0.690149I
a = 0.082288 − 0.622290I
b = 0.505590 + 1.004630I
0.24654 − 3.21510I 0
u = 0.111179 − 0.690149I
a = 0.082288 + 0.622290I
b = 0.505590 − 1.004630I
0.24654 + 3.21510I 0
u = 1.264340 + 0.323180I
a = −0.24787 − 2.17167I
b = −0.377052 + 1.263140I
1.89644 + 12.20220I 0
u = 1.264340 − 0.323180I
a = −0.24787 + 2.17167I
b = −0.377052 − 1.263140I
1.89644 − 12.20220I 0
u = 1.266750 + 0.316138I
a = 0.24407 + 2.07352I
b = 0.332473 − 1.326910I
3.91879 + 6.93656I 0
u = 1.266750 − 0.316138I
a = 0.24407 − 2.07352I
b = 0.332473 + 1.326910I
3.91879 − 6.93656I 0
u = −0.334371 + 0.565524I
a = −0.793853 − 0.739199I
b = −0.388025 − 0.836475I
1.55438 − 0.12200I 0
u = −0.334371 − 0.565524I
a = −0.793853 + 0.739199I
b = −0.388025 + 0.836475I
1.55438 + 0.12200I 0
u = −0.368653 + 0.542730I
a = −0.587831 − 1.011260I
b = −0.397710 − 1.137590I
2.42769 − 3.87191I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.368653 − 0.542730I
a = −0.587831 + 1.011260I
b = −0.397710 + 1.137590I
2.42769 + 3.87191I 0
u = −1.337120 + 0.155962I
a = −0.54295 + 1.62380I
b = 0.264196 − 1.340780I
5.05912 + 0.47037I 0
u = −1.337120 − 0.155962I
a = −0.54295 − 1.62380I
b = 0.264196 + 1.340780I
5.05912 − 0.47037I 0
u = −0.295131 + 0.581464I
a = −0.85667 − 1.84488I
b = 0.619427 + 0.073935I
1.23260 + 2.48040I 0
u = −0.295131 − 0.581464I
a = −0.85667 + 1.84488I
b = 0.619427 − 0.073935I
1.23260 − 2.48040I 0
u = −0.411888 + 0.504365I
a = −1.018360 − 0.680281I
b = −0.067693 − 0.513016I
1.72082 − 0.02250I 0
u = −0.411888 − 0.504365I
a = −1.018360 + 0.680281I
b = −0.067693 + 0.513016I
1.72082 + 0.02250I 0
u = −0.649192
a = −0.589360
b = −0.0907688
0.892793 12.3040
u = −0.169610 + 0.622301I
a = 0.200395 + 0.225308I
b = 0.268657 + 1.102790I
1.38119 − 2.52030I 0
u = −0.169610 − 0.622301I
a = 0.200395 − 0.225308I
b = 0.268657 − 1.102790I
1.38119 + 2.52030I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.355990 + 0.008881I
a = 0.13469 + 1.59361I
b = −0.226282 − 0.916721I
2.13275 + 1.36234I 0
u = −1.355990 − 0.008881I
a = 0.13469 − 1.59361I
b = −0.226282 + 0.916721I
2.13275 − 1.36234I 0
u = 1.363310 + 0.033367I
a = −0.261013 − 0.342681I
b = −0.787977 + 0.235223I
7.61827 + 1.39910I 0
u = 1.363310 − 0.033367I
a = −0.261013 + 0.342681I
b = −0.787977 − 0.235223I
7.61827 − 1.39910I 0
u = 1.371890 + 0.093794I
a = 0.046962 + 0.650836I
b = 0.949159 − 0.481079I
5.89354 + 6.46464I 0
u = 1.371890 − 0.093794I
a = 0.046962 − 0.650836I
b = 0.949159 + 0.481079I
5.89354 − 6.46464I 0
u = −0.369828 + 0.501185I
a = 0.444203 + 1.090710I
b = 0.316244 + 1.163110I
2.53576 + 0.53218I 0
u = −0.369828 − 0.501185I
a = 0.444203 − 1.090710I
b = 0.316244 − 1.163110I
2.53576 − 0.53218I 0
u = −0.197740 + 0.567124I
a = 0.56110 + 2.24172I
b = −0.750285 − 0.179233I
−0.65485 + 8.09028I 0
u = −0.197740 − 0.567124I
a = 0.56110 − 2.24172I
b = −0.750285 + 0.179233I
−0.65485 − 8.09028I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.150836 + 1.400180I
a = 0.015381 − 0.345136I
b = −0.306678 + 1.297390I
3.07475 + 11.83000I 0
u = 0.150836 − 1.400180I
a = 0.015381 + 0.345136I
b = −0.306678 − 1.297390I
3.07475 − 11.83000I 0
u = 1.40556 + 0.20546I
a = −0.03983 + 1.65725I
b = 0.92844 − 1.70992I
8.11081 + 2.07745I 0
u = 1.40556 − 0.20546I
a = −0.03983 − 1.65725I
b = 0.92844 + 1.70992I
8.11081 − 2.07745I 0
u = −0.250777 + 0.512072I
a = 0.949567 + 0.809716I
b = 0.566377 + 0.438121I
0.67353 − 4.33386I 0. + 7.02296I
u = −0.250777 − 0.512072I
a = 0.949567 − 0.809716I
b = 0.566377 − 0.438121I
0.67353 + 4.33386I 0. − 7.02296I
u = 1.41554 + 0.20667I
a = 0.09786 − 1.59194I
b = −1.05602 + 1.64043I
8.08886 + 6.60048I 0
u = 1.41554 − 0.20667I
a = 0.09786 + 1.59194I
b = −1.05602 − 1.64043I
8.08886 − 6.60048I 0
u = −1.42157 + 0.16278I
a = 0.45715 − 1.43573I
b = −0.456912 + 1.245300I
3.42642 + 5.06397I 0
u = −1.42157 − 0.16278I
a = 0.45715 + 1.43573I
b = −0.456912 − 1.245300I
3.42642 − 5.06397I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.42549 + 0.20836I
a = 0.046821 − 1.369870I
b = −1.04513 + 1.30066I
7.21313 + 2.93325I 0
u = 1.42549 − 0.20836I
a = 0.046821 + 1.369870I
b = −1.04513 − 1.30066I
7.21313 − 2.93325I 0
u = 1.42185 + 0.28595I
a = 0.32402 + 1.54579I
b = 0.60512 − 1.41033I
6.52707 + 5.96383I 0
u = 1.42185 − 0.28595I
a = 0.32402 − 1.54579I
b = 0.60512 + 1.41033I
6.52707 − 5.96383I 0
u = 0.04806 + 1.46007I
a = −0.087709 + 0.373885I
b = 0.231939 − 1.312120I
5.26484 + 5.45539I 0
u = 0.04806 − 1.46007I
a = −0.087709 − 0.373885I
b = 0.231939 + 1.312120I
5.26484 − 5.45539I 0
u = 1.41517 + 0.44626I
a = 0.76965 + 1.47422I
b = 0.42129 − 1.46978I
11.7726 + 11.4995I 0
u = 1.41517 − 0.44626I
a = 0.76965 − 1.47422I
b = 0.42129 + 1.46978I
11.7726 − 11.4995I 0
u = 1.44834 + 0.45505I
a = −0.73719 − 1.38855I
b = −0.38461 + 1.43888I
13.0030 + 5.8555I 0
u = 1.44834 − 0.45505I
a = −0.73719 + 1.38855I
b = −0.38461 − 1.43888I
13.0030 − 5.8555I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.28455 + 0.88465I
a = −0.665983 + 1.094100I
b = −0.09402 − 1.51647I
9.30469 + 0.14343I 0
u = −1.28455 − 0.88465I
a = −0.665983 − 1.094100I
b = −0.09402 + 1.51647I
9.30469 − 0.14343I 0
u = −1.51320 + 0.55870I
a = −0.42687 + 1.51074I
b = −0.59681 − 1.56994I
8.4055 − 18.5940I 0
u = −1.51320 − 0.55870I
a = −0.42687 − 1.51074I
b = −0.59681 + 1.56994I
8.4055 + 18.5940I 0
u = 1.61043 + 0.18462I
a = 0.388375 + 1.179820I
b = 0.462835 − 1.035540I
6.15338 + 6.15152I 0
u = 1.61043 − 0.18462I
a = 0.388375 − 1.179820I
b = 0.462835 + 1.035540I
6.15338 − 6.15152I 0
u = −1.51451 + 0.58350I
a = 0.44911 − 1.47326I
b = 0.53582 + 1.57275I
10.3791 − 12.5012I 0
u = −1.51451 − 0.58350I
a = 0.44911 + 1.47326I
b = 0.53582 − 1.57275I
10.3791 + 12.5012I 0
u = −1.45381 + 0.76710I
a = 0.559538 − 1.257950I
b = 0.25618 + 1.54059I
10.80050 − 6.60908I 0
u = −1.45381 − 0.76710I
a = 0.559538 + 1.257950I
b = 0.25618 − 1.54059I
10.80050 + 6.60908I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.043376 + 0.317650I
a = 0.86810 + 1.34327I
b = 0.541558 − 0.138767I
−1.34088 + 0.49926I −5.57781 − 0.86695I
u = 0.043376 − 0.317650I
a = 0.86810 − 1.34327I
b = 0.541558 + 0.138767I
−1.34088 − 0.49926I −5.57781 + 0.86695I
u = −1.60710 + 0.61679I
a = −0.37388 + 1.37210I
b = −0.46338 − 1.43070I
3.25452 − 9.72714I 0
u = −1.60710 − 0.61679I
a = −0.37388 − 1.37210I
b = −0.46338 + 1.43070I
3.25452 + 9.72714I 0
u = −0.246391 + 0.118040I
a = −0.57374 + 2.30124I
b = 0.066255 + 1.006660I
2.27701 − 2.35404I 1.13682 + 3.61254I
u = −0.246391 − 0.118040I
a = −0.57374 − 2.30124I
b = 0.066255 − 1.006660I
2.27701 + 2.35404I 1.13682 − 3.61254I
u = 1.65253 + 0.51466I
a = −0.576270 − 1.116790I
b = −0.244766 + 1.249460I
10.77680 + 2.11340I 0
u = 1.65253 − 0.51466I
a = −0.576270 + 1.116790I
b = −0.244766 − 1.249460I
10.77680 − 2.11340I 0
u = 1.71930 + 0.68117I
a = 0.550280 + 0.982535I
b = 0.142931 − 1.206000I
7.79971 − 3.82442I 0
u = 1.71930 − 0.68117I
a = 0.550280 − 0.982535I
b = 0.142931 + 1.206000I
7.79971 + 3.82442I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.24042 + 1.84495I
a = 0.171420 − 0.573839I
b = −0.105804 + 1.247870I
−1.97749 + 1.23305I 0
u = −0.24042 − 1.84495I
a = 0.171420 + 0.573839I
b = −0.105804 − 1.247870I
−1.97749 − 1.23305I 0
17
II. I
u
2
= h30599u
26
− 159948u
25
+ · · · + 96731b + 60044, −1.13 × 10
5
u
26
+
5.45 × 10
5
u
25
+ · · · + 9.67 × 10
4
a + 6.11 × 10
4
, u
27
− 7u
26
+ · · · − 3u + 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
9
=
1
−u
2
a
1
=
u
−u
3
+ u
a
5
=
1.16487u
26
− 5.63282u
25
+ ··· + 7.47333u − 0.632000
−0.316331u
26
+ 1.65353u
25
+ ··· − 0.183943u − 0.620732
a
4
=
0.848539u
26
− 3.97928u
25
+ ··· + 7.28939u − 1.25273
−0.316331u
26
+ 1.65353u
25
+ ··· − 0.183943u − 0.620732
a
7
=
−1.51963u
26
+ 10.0236u
25
+ ··· − 3.78453u + 4.65857
0.613816u
26
− 3.83224u
25
+ ··· + 3.90031u − 1.51963
a
10
=
7.85801u
26
− 65.4779u
25
+ ··· − 39.8520u + 8.37763
−0.149342u
26
+ 2.78904u
25
+ ··· − 0.578491u + 0.905811
a
6
=
6.42087u
26
− 53.2276u
25
+ ··· + 1.62778u + 2.55334
−6.96505u
26
+ 55.7644u
25
+ ··· + 34.4717u − 9.63398
a
11
=
8.85801u
26
− 71.4779u
25
+ ··· − 36.8520u + 7.37763
−0.149342u
26
+ 2.78904u
25
+ ··· + 0.421509u + 0.905811
a
3
=
12.7463u
26
− 100.682u
25
+ ··· − 51.5229u + 13.9725
0.600645u
26
− 5.22174u
25
+ ··· + 2.66461u − 1.80247
a
2
=
−12.3296u
26
+ 100.395u
25
+ ··· + 55.1362u − 12.2366
1.98117u
26
− 17.3079u
25
+ ··· + 7.14347u − 2.42784
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
3441662
96731
u
26
+
26608834
96731
u
25
+ ··· +
13611309
96731
u −
2509628
96731
18
(iv) u-Polynomials at the component
19
Crossings u-Polynomials at each crossing
c
1
u
27
− 17u
26
+ ··· + 16u − 1
c
2
u
27
+ 3u
26
+ ··· − 6u − 1
c
3
u
27
− 2u
26
+ ··· + 2u − 1
c
4
u
27
− 2u
26
+ ··· − 9u − 1
c
5
u
27
− 3u
26
+ ··· − 6u + 1
c
6
u
27
+ 2u
26
+ ··· − u + 1
c
7
u
27
+ 2u
26
+ ··· − 9u + 1
c
8
u
27
− 7u
26
+ ··· − 3u + 1
c
9
u
27
− 2u
26
+ ··· − u − 1
c
10
u
27
+ u
26
+ ··· + 20u + 1
c
11
u
27
+ 2u
26
+ ··· + 2u + 1
c
12
u
27
+ 7u
26
+ ··· − 3u − 1
20
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
27
− y
26
+ ··· − 88y −1
c
2
, c
5
y
27
− 17y
26
+ ··· + 16y −1
c
3
, c
11
y
27
− 6y
26
+ ··· + 298y
2
− 1
c
4
, c
7
y
27
+ 28y
26
+ ··· + 45y −1
c
6
, c
9
y
27
− 8y
25
+ ··· − 5y −1
c
8
, c
12
y
27
− 15y
26
+ ··· + 3y −1
c
10
y
27
− 9y
26
+ ··· + 28y −1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.107787 + 1.060130I
a = −0.26125 + 1.39730I
b = 0.255392 − 0.708618I
−4.36986 + 0.94186I 4.32882 − 7.97316I
u = −0.107787 − 1.060130I
a = −0.26125 − 1.39730I
b = 0.255392 + 0.708618I
−4.36986 − 0.94186I 4.32882 + 7.97316I
u = 0.876248 + 0.702233I
a = −0.376364 − 0.135976I
b = 0.193817 − 0.009805I
−4.54338 + 2.71100I 0.44164 − 10.63785I
u = 0.876248 − 0.702233I
a = −0.376364 + 0.135976I
b = 0.193817 + 0.009805I
−4.54338 − 2.71100I 0.44164 + 10.63785I
u = −1.160540 + 0.048438I
a = 0.04155 − 1.92162I
b = −0.17288 + 1.43623I
5.04480 + 2.65528I 5.96897 − 5.01438I
u = −1.160540 − 0.048438I
a = 0.04155 + 1.92162I
b = −0.17288 − 1.43623I
5.04480 − 2.65528I 5.96897 + 5.01438I
u = −1.163620 + 0.040576I
a = −0.78576 + 3.19152I
b = −0.029594 − 1.086680I
3.65676 + 1.89859I 16.5619 + 2.3505I
u = −1.163620 − 0.040576I
a = −0.78576 − 3.19152I
b = −0.029594 + 1.086680I
3.65676 − 1.89859I 16.5619 − 2.3505I
u = −0.801697
a = 0.269073
b = −0.565798
0.124792 −0.864170
u = −0.785361 + 0.062897I
a = −0.79466 − 1.35040I
b = −0.060019 − 0.874276I
2.82979 − 2.23758I 22.0223 − 3.8705I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.785361 − 0.062897I
a = −0.79466 + 1.35040I
b = −0.060019 + 0.874276I
2.82979 + 2.23758I 22.0223 + 3.8705I
u = 1.211370 + 0.581494I
a = 0.65438 + 1.46116I
b = 0.23699 − 1.78233I
8.33811 − 0.73456I 3.49155 + 0.I
u = 1.211370 − 0.581494I
a = 0.65438 − 1.46116I
b = 0.23699 + 1.78233I
8.33811 + 0.73456I 3.49155 + 0.I
u = 1.294820 + 0.370255I
a = −0.31810 − 1.70609I
b = −0.65325 + 1.85007I
9.19948 + 5.20084I 8.18979 − 5.87227I
u = 1.294820 − 0.370255I
a = −0.31810 + 1.70609I
b = −0.65325 − 1.85007I
9.19948 − 5.20084I 8.18979 + 5.87227I
u = 0.534303 + 0.368722I
a = −2.08988 + 0.61152I
b = 0.617007 − 0.425699I
0.22469 + 9.10529I 4.87426 − 8.12456I
u = 0.534303 − 0.368722I
a = −2.08988 − 0.61152I
b = 0.617007 + 0.425699I
0.22469 − 9.10529I 4.87426 + 8.12456I
u = 1.41158 + 0.15557I
a = 0.06103 − 1.46451I
b = −1.02813 + 1.36328I
7.39362 + 3.73716I 7.16285 − 6.64593I
u = 1.41158 − 0.15557I
a = 0.06103 + 1.46451I
b = −1.02813 − 1.36328I
7.39362 − 3.73716I 7.16285 + 6.64593I
u = 0.350268 + 0.334731I
a = 2.29916 − 1.47517I
b = −0.579949 + 0.586242I
1.91007 + 3.52122I 7.19053 − 4.22290I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.350268 − 0.334731I
a = 2.29916 + 1.47517I
b = −0.579949 − 0.586242I
1.91007 − 3.52122I 7.19053 + 4.22290I
u = −0.164164 + 0.382515I
a = −0.44634 − 1.60994I
b = −0.375995 − 1.017170I
1.92294 − 1.73525I 4.59316 + 1.63174I
u = −0.164164 − 0.382515I
a = −0.44634 + 1.60994I
b = −0.375995 + 1.017170I
1.92294 + 1.73525I 4.59316 − 1.63174I
u = −0.01422 + 1.60586I
a = −0.151767 − 0.443205I
b = 0.142590 + 1.192110I
−2.46276 − 0.55570I 0
u = −0.01422 − 1.60586I
a = −0.151767 + 0.443205I
b = 0.142590 − 1.192110I
−2.46276 + 0.55570I 0
u = 1.61796 + 0.10292I
a = 0.033471 + 1.305770I
b = 0.736915 − 1.144590I
5.33696 + 7.15481I 0. − 7.70887I
u = 1.61796 − 0.10292I
a = 0.033471 − 1.305770I
b = 0.736915 + 1.144590I
5.33696 − 7.15481I 0. + 7.70887I
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
27
− 17u
26
+ ··· + 16u − 1)(u
122
+ 54u
121
+ ··· + 234560u + 3721)
c
2
(u
27
+ 3u
26
+ ··· − 6u − 1)(u
122
+ 4u
121
+ ··· + 768u − 61)
c
3
(u
27
− 2u
26
+ ··· + 2u − 1)(u
122
+ u
121
+ ··· − 165778u + 43807)
c
4
(u
27
− 2u
26
+ ··· − 9u − 1)(u
122
− 3u
121
+ ··· − 48567u − 5581)
c
5
(u
27
− 3u
26
+ ··· − 6u + 1)(u
122
+ 4u
121
+ ··· + 768u − 61)
c
6
(u
27
+ 2u
26
+ ··· − u + 1)(u
122
+ 11u
121
+ ··· + 3691u + 583)
c
7
(u
27
+ 2u
26
+ ··· − 9u + 1)(u
122
− 3u
121
+ ··· − 48567u − 5581)
c
8
(u
27
− 7u
26
+ ··· − 3u + 1)(u
122
− 46u
120
+ ··· + 329813u − 20411)
c
9
(u
27
− 2u
26
+ ··· − u − 1)(u
122
+ 11u
121
+ ··· + 3691u + 583)
c
10
(u
27
+ u
26
+ ··· + 20u + 1)(u
122
+ 18u
121
+ ··· − 1396048u − 97927)
c
11
(u
27
+ 2u
26
+ ··· + 2u + 1)(u
122
+ u
121
+ ··· − 165778u + 43807)
c
12
(u
27
+ 7u
26
+ ··· − 3u − 1)(u
122
− 46u
120
+ ··· + 329813u − 20411)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
27
− y
26
+ ··· − 88y −1)
· (y
122
+ 42y
121
+ ··· − 15419630672y + 13845841)
c
2
, c
5
(y
27
− 17y
26
+ ··· + 16y −1)(y
122
− 54y
121
+ ··· − 234560y + 3721)
c
3
, c
11
(y
27
− 6y
26
+ ··· + 298y
2
− 1)
· (y
122
− 91y
121
+ ··· + 72533065960y + 1919053249)
c
4
, c
7
(y
27
+ 28y
26
+ ··· + 45y −1)
· (y
122
+ 107y
121
+ ··· − 8059253861y + 31147561)
c
6
, c
9
(y
27
− 8y
25
+ ··· − 5y −1)
· (y
122
+ 47y
121
+ ··· + 16292581y + 339889)
c
8
, c
12
(y
27
− 15y
26
+ ··· + 3y −1)
· (y
122
− 92y
121
+ ··· + 736931829y + 416608921)
c
10
(y
27
− 9y
26
+ ··· + 28y −1)
· (y
122
− 34y
121
+ ··· − 80169514796y + 9589697329)
27
