12a
0953
(K12a
0953
)
A knot diagram
1
Linearized knot diagam
4 6 10 9 2 11 12 5 1 3 8 7
Solving Sequence
8,11
12 7 1
3,6
2 5 10 4 9
c
11
c
7
c
12
c
6
c
2
c
5
c
10
c
3
c
9
c
1
, c
4
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.38203 × 10
172
u
109
− 1.26988 × 10
173
u
108
+ ··· + 7.34383 × 10
172
b − 6.55266 × 10
173
,
− 8.43112 × 10
173
u
109
− 1.62348 × 10
174
u
108
+ ··· + 8.07821 × 10
173
a − 2.66760 × 10
175
,
u
110
+ u
109
+ ··· + 278u + 11i
I
u
2
= hu
17
− 3u
16
+ ··· − 4u
2
+ b, −2u
17
+ 3u
16
+ ··· + a + 3, u
18
− 2u
17
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 128 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−6.38 × 10
172
u
109
− 1.27 × 10
173
u
108
+ · · · + 7.34 × 10
172
b − 6.55 ×
10
173
, −8.43 × 10
173
u
109
− 1.62 × 10
174
u
108
+ · · · + 8.08 × 10
173
a − 2.67 ×
10
175
, u
110
+ u
109
+ · · · + 278u + 11i
(i) Arc colorings
a
8
=
0
u
a
11
=
1
0
a
12
=
1
u
2
a
7
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
4
+ 2u
2
a
3
=
1.04369u
109
+ 2.00971u
108
+ ··· + 410.322u + 33.0222
0.869033u
109
+ 1.72918u
108
+ ··· + 215.319u + 8.92267
a
6
=
u
3
+ 2u
u
3
+ u
a
2
=
0.493453u
109
− 0.225088u
108
+ ··· + 53.1992u + 18.7418
2.24757u
109
+ 2.09482u
108
+ ··· + 140.726u + 5.47659
a
5
=
−0.161257u
109
− 0.431389u
108
+ ··· − 177.617u − 21.5655
2.15866u
109
+ 1.69325u
108
+ ··· + 122.861u + 3.85095
a
10
=
−0.852999u
109
− 1.28126u
108
+ ··· + 26.0895u + 12.5914
0.614891u
109
− 2.63198u
108
+ ··· − 444.568u − 17.4155
a
4
=
1.34925u
109
− 1.78726u
108
+ ··· − 249.644u + 13.2485
2.96760u
109
+ 2.44514u
108
+ ··· + 112.628u + 4.40678
a
9
=
−1.42892u
109
− 1.87328u
108
+ ··· − 8.25883u + 11.7779
0.444642u
109
− 4.02819u
108
+ ··· − 668.229u − 26.2983
(ii) Obstruction class = −1
(iii) Cusp Shapes = −3.06007u
109
− 8.46109u
108
+ ··· − 680.493u − 29.6266
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
110
− 12u
109
+ ··· + 30u − 1
c
2
, c
5
u
110
+ u
109
+ ··· + 44559u + 1087
c
3
, c
10
u
110
+ u
109
+ ··· − 21765u + 12969
c
4
, c
8
u
110
+ 4u
109
+ ··· + 1542u + 279
c
6
u
110
− u
109
+ ··· + 10791316u + 468259
c
7
, c
11
, c
12
u
110
+ u
109
+ ··· + 278u + 11
c
9
u
110
+ 6u
109
+ ··· + 37u
2
− 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
110
− 10y
109
+ ··· − 82y + 1
c
2
, c
5
y
110
− 85y
109
+ ··· − 674723791y + 1181569
c
3
, c
10
y
110
+ 79y
109
+ ··· − 4284448371y + 168194961
c
4
, c
8
y
110
+ 56y
109
+ ··· + 3663144y + 77841
c
6
y
110
− 53y
109
+ ··· − 63491367640358y + 219266491081
c
7
, c
11
, c
12
y
110
+ 95y
109
+ ··· − 35726y + 121
c
9
y
110
+ 102y
108
+ ··· − 74y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.050010 + 0.171279I
a = −0.33161 − 1.70441I
b = 0.166210 − 1.222580I
−6.04457 − 0.70873I 0
u = 1.050010 − 0.171279I
a = −0.33161 + 1.70441I
b = 0.166210 + 1.222580I
−6.04457 + 0.70873I 0
u = −0.891130 + 0.230513I
a = 0.41804 − 2.22971I
b = −0.46710 − 1.48139I
−6.4223 + 13.5900I 0
u = −0.891130 − 0.230513I
a = 0.41804 + 2.22971I
b = −0.46710 + 1.48139I
−6.4223 − 13.5900I 0
u = −0.996011 + 0.461027I
a = −0.52667 + 1.36913I
b = 0.120769 + 1.233970I
−6.47998 + 3.06048I 0
u = −0.996011 − 0.461027I
a = −0.52667 − 1.36913I
b = 0.120769 − 1.233970I
−6.47998 − 3.06048I 0
u = 0.420393 + 1.023990I
a = 0.714613 + 0.842054I
b = 0.34795 + 1.51364I
−7.29839 + 2.86587I 0
u = 0.420393 − 1.023990I
a = 0.714613 − 0.842054I
b = 0.34795 − 1.51364I
−7.29839 − 2.86587I 0
u = 0.196637 + 1.125380I
a = −0.332867 − 0.830505I
b = 0.941856 + 0.626895I
1.93918 + 4.29723I 0
u = 0.196637 − 1.125380I
a = −0.332867 + 0.830505I
b = 0.941856 − 0.626895I
1.93918 − 4.29723I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.560509 + 1.002830I
a = 0.654267 − 0.947169I
b = 0.36228 − 1.43029I
−4.06316 − 8.51627I 0
u = −0.560509 − 1.002830I
a = 0.654267 + 0.947169I
b = 0.36228 + 1.43029I
−4.06316 + 8.51627I 0
u = 0.829911 + 0.186392I
a = 0.38704 + 2.37181I
b = −0.49649 + 1.54762I
−9.87319 − 7.37056I 0
u = 0.829911 − 0.186392I
a = 0.38704 − 2.37181I
b = −0.49649 − 1.54762I
−9.87319 + 7.37056I 0
u = −0.499325 + 0.658079I
a = −0.579990 + 0.713612I
b = 0.086184 + 1.319000I
−6.08251 + 2.07429I 0
u = −0.499325 − 0.658079I
a = −0.579990 − 0.713612I
b = 0.086184 − 1.319000I
−6.08251 − 2.07429I 0
u = 0.797733 + 0.098380I
a = −1.02586 − 2.48430I
b = 0.185043 − 1.284780I
−6.64028 − 4.10812I −15.1202 + 7.1213I
u = 0.797733 − 0.098380I
a = −1.02586 + 2.48430I
b = 0.185043 + 1.284780I
−6.64028 + 4.10812I −15.1202 − 7.1213I
u = −0.231372 + 1.176400I
a = −1.50070 + 1.88344I
b = −0.084201 + 1.118770I
1.74981 − 3.45076I 0
u = −0.231372 − 1.176400I
a = −1.50070 − 1.88344I
b = −0.084201 − 1.118770I
1.74981 + 3.45076I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.788901 + 0.043875I
a = −0.005742 − 0.419288I
b = 0.494869 − 0.047059I
−2.51889 − 1.63919I −8.00000 + 3.84553I
u = −0.788901 − 0.043875I
a = −0.005742 + 0.419288I
b = 0.494869 + 0.047059I
−2.51889 + 1.63919I −8.00000 − 3.84553I
u = 0.339176 + 1.163640I
a = −0.06937 − 1.42094I
b = −0.115504 − 1.358120I
−3.39791 − 0.02090I 0
u = 0.339176 − 1.163640I
a = −0.06937 + 1.42094I
b = −0.115504 + 1.358120I
−3.39791 + 0.02090I 0
u = 0.198752 + 1.200600I
a = 1.162040 + 0.131402I
b = −0.426257 − 0.415124I
0.16219 − 1.87147I 0
u = 0.198752 − 1.200600I
a = 1.162040 − 0.131402I
b = −0.426257 + 0.415124I
0.16219 + 1.87147I 0
u = 0.758425 + 0.031986I
a = 0.05821 − 2.76156I
b = 0.229451 − 1.243480I
−4.65058 − 2.75633I −14.4067 + 3.2910I
u = 0.758425 − 0.031986I
a = 0.05821 + 2.76156I
b = 0.229451 + 1.243480I
−4.65058 + 2.75633I −14.4067 − 3.2910I
u = 0.720075 + 1.011810I
a = −0.408449 − 1.024220I
b = 0.021198 − 1.261860I
−3.50156 − 5.30371I 0
u = 0.720075 − 1.011810I
a = −0.408449 + 1.024220I
b = 0.021198 + 1.261860I
−3.50156 + 5.30371I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.738014 + 0.163439I
a = −0.815743 + 0.550940I
b = −1.176070 + 0.318613I
−0.76558 − 7.84667I −9.97138 + 7.60895I
u = 0.738014 − 0.163439I
a = −0.815743 − 0.550940I
b = −1.176070 − 0.318613I
−0.76558 + 7.84667I −9.97138 − 7.60895I
u = −0.321642 + 1.205180I
a = 0.725644 − 0.628669I
b = −0.352838 + 0.205292I
1.02880 + 5.67372I 0
u = −0.321642 − 1.205180I
a = 0.725644 + 0.628669I
b = −0.352838 − 0.205292I
1.02880 − 5.67372I 0
u = −0.172321 + 1.239970I
a = 1.06617 − 1.55432I
b = −0.75294 − 1.34218I
1.55530 + 1.42254I 0
u = −0.172321 − 1.239970I
a = 1.06617 + 1.55432I
b = −0.75294 + 1.34218I
1.55530 − 1.42254I 0
u = −0.216210 + 1.236910I
a = 0.26823 + 1.44359I
b = −0.14081 + 1.45105I
−3.62106 + 2.01275I 0
u = −0.216210 − 1.236910I
a = 0.26823 − 1.44359I
b = −0.14081 − 1.45105I
−3.62106 − 2.01275I 0
u = −0.722561 + 0.134829I
a = −0.19581 + 3.27871I
b = 0.249342 + 1.262220I
−1.29033 + 6.93091I −10.85274 − 7.10174I
u = −0.722561 − 0.134829I
a = −0.19581 − 3.27871I
b = 0.249342 − 1.262220I
−1.29033 − 6.93091I −10.85274 + 7.10174I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.301684 + 1.236350I
a = −1.01913 − 1.37825I
b = −0.049984 − 1.195340I
−0.95667 − 1.07479I 0
u = 0.301684 − 1.236350I
a = −1.01913 + 1.37825I
b = −0.049984 + 1.195340I
−0.95667 + 1.07479I 0
u = −0.246692 + 1.268370I
a = 0.595285 + 0.754326I
b = 1.69503 − 1.36528I
0.61040 + 3.00455I 0
u = −0.246692 − 1.268370I
a = 0.595285 − 0.754326I
b = 1.69503 + 1.36528I
0.61040 − 3.00455I 0
u = 0.624691 + 0.321842I
a = 0.627869 − 0.737601I
b = 0.607962 + 0.047917I
2.47086 − 3.80105I −4.19881 + 4.45632I
u = 0.624691 − 0.321842I
a = 0.627869 + 0.737601I
b = 0.607962 − 0.047917I
2.47086 + 3.80105I −4.19881 − 4.45632I
u = −0.142805 + 1.291600I
a = −0.291525 − 0.565579I
b = −0.636406 + 0.309305I
2.97808 + 2.36366I 0
u = −0.142805 − 1.291600I
a = −0.291525 + 0.565579I
b = −0.636406 − 0.309305I
2.97808 − 2.36366I 0
u = 0.664623 + 0.183592I
a = −0.424696 + 0.631747I
b = 0.435288 + 0.029541I
−2.82670 − 1.16520I −7.45501 + 5.98665I
u = 0.664623 − 0.183592I
a = −0.424696 − 0.631747I
b = 0.435288 − 0.029541I
−2.82670 + 1.16520I −7.45501 − 5.98665I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.060773 + 1.314470I
a = −0.957724 + 0.081566I
b = 0.526607 + 0.774592I
4.35676 + 2.14029I 0
u = −0.060773 − 1.314470I
a = −0.957724 − 0.081566I
b = 0.526607 − 0.774592I
4.35676 − 2.14029I 0
u = 0.325016 + 1.278670I
a = 1.19355 + 1.49980I
b = −0.382018 + 1.281910I
−0.57323 − 6.67327I 0
u = 0.325016 − 1.278670I
a = 1.19355 − 1.49980I
b = −0.382018 − 1.281910I
−0.57323 + 6.67327I 0
u = −0.334997 + 1.281810I
a = 0.222024 − 0.119846I
b = −0.622164 + 0.187888I
1.59715 + 2.41690I 0
u = −0.334997 − 1.281810I
a = 0.222024 + 0.119846I
b = −0.622164 − 0.187888I
1.59715 − 2.41690I 0
u = −0.065346 + 1.324070I
a = −0.718008 − 0.719851I
b = −0.343606 + 0.754448I
3.05619 + 2.45375I 0
u = −0.065346 − 1.324070I
a = −0.718008 + 0.719851I
b = −0.343606 − 0.754448I
3.05619 − 2.45375I 0
u = −0.656295 + 0.133338I
a = −1.73483 + 2.00258I
b = 0.161395 + 1.294360I
−6.95923 + 1.03924I −16.0013 + 1.4098I
u = −0.656295 − 0.133338I
a = −1.73483 − 2.00258I
b = 0.161395 − 1.294360I
−6.95923 − 1.03924I −16.0013 − 1.4098I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.264807 + 1.313810I
a = −1.20479 + 1.35359I
b = 1.73533 + 1.21667I
1.08272 + 3.54798I 0
u = −0.264807 − 1.313810I
a = −1.20479 − 1.35359I
b = 1.73533 − 1.21667I
1.08272 − 3.54798I 0
u = −0.624777 + 0.200749I
a = 1.00682 − 2.21299I
b = 0.210298 − 1.174680I
−1.51058 + 1.20506I −10.99229 − 2.06390I
u = −0.624777 − 0.200749I
a = 1.00682 + 2.21299I
b = 0.210298 + 1.174680I
−1.51058 − 1.20506I −10.99229 + 2.06390I
u = −0.651711 + 0.041925I
a = −1.83899 − 2.23339I
b = −1.79819 − 1.32359I
−3.19651 + 0.22460I 30.7228 + 1.1581I
u = −0.651711 − 0.041925I
a = −1.83899 + 2.23339I
b = −1.79819 + 1.32359I
−3.19651 − 0.22460I 30.7228 − 1.1581I
u = 0.417022 + 0.499919I
a = 0.005765 + 0.426647I
b = −0.651653 + 0.225845I
3.25707 + 0.27852I −2.37532 + 2.79897I
u = 0.417022 − 0.499919I
a = 0.005765 − 0.426647I
b = −0.651653 − 0.225845I
3.25707 − 0.27852I −2.37532 − 2.79897I
u = 0.345550 + 1.330980I
a = 1.84070 + 1.07680I
b = −0.245543 + 1.224530I
−2.15277 − 8.23151I 0
u = 0.345550 − 1.330980I
a = 1.84070 − 1.07680I
b = −0.245543 − 1.224530I
−2.15277 + 8.23151I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.285225 + 1.353120I
a = 1.82269 − 0.32543I
b = −0.234618 − 1.170990I
−2.23412 + 4.50974I 0
u = −0.285225 − 1.353120I
a = 1.82269 + 0.32543I
b = −0.234618 + 1.170990I
−2.23412 − 4.50974I 0
u = −0.305774 + 1.348780I
a = 1.25651 − 1.67733I
b = −0.326172 − 1.356400I
3.39421 + 10.67120I 0
u = −0.305774 − 1.348780I
a = 1.25651 + 1.67733I
b = −0.326172 + 1.356400I
3.39421 − 10.67120I 0
u = 0.126711 + 0.602710I
a = 0.18799 − 1.79023I
b = 0.570104 + 0.240230I
1.61917 + 4.58161I −3.97305 − 3.68619I
u = 0.126711 − 0.602710I
a = 0.18799 + 1.79023I
b = 0.570104 − 0.240230I
1.61917 − 4.58161I −3.97305 + 3.68619I
u = 0.311376 + 1.361300I
a = −0.445403 − 0.794303I
b = 1.319850 − 0.195094I
4.05196 − 11.66000I 0
u = 0.311376 − 1.361300I
a = −0.445403 + 0.794303I
b = 1.319850 + 0.195094I
4.05196 + 11.66000I 0
u = −0.034974 + 1.407370I
a = −0.596722 − 0.292925I
b = 0.585931 − 1.085300I
6.97198 − 3.50584I 0
u = −0.034974 − 1.407370I
a = −0.596722 + 0.292925I
b = 0.585931 + 1.085300I
6.97198 + 3.50584I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.295776 + 1.378230I
a = 0.345785 − 0.120824I
b = −0.649170 − 0.273610I
2.16438 − 4.72448I 0
u = 0.295776 − 1.378230I
a = 0.345785 + 0.120824I
b = −0.649170 + 0.273610I
2.16438 + 4.72448I 0
u = −0.279651 + 1.383870I
a = −1.005800 + 0.806794I
b = 0.049401 + 1.296110I
3.55772 + 4.58327I 0
u = −0.279651 − 1.383870I
a = −1.005800 − 0.806794I
b = 0.049401 − 1.296110I
3.55772 − 4.58327I 0
u = 0.46837 + 1.33629I
a = 1.01802 + 1.15044I
b = −0.338731 + 1.182980I
−1.40857 − 6.07621I 0
u = 0.46837 − 1.33629I
a = 1.01802 − 1.15044I
b = −0.338731 − 1.182980I
−1.40857 + 6.07621I 0
u = 0.13083 + 1.41396I
a = −0.710916 − 0.255906I
b = 0.833661 − 0.308878I
9.27329 − 1.61572I 0
u = 0.13083 − 1.41396I
a = −0.710916 + 0.255906I
b = 0.833661 + 0.308878I
9.27329 + 1.61572I 0
u = 0.02062 + 1.42200I
a = 0.432581 + 0.754867I
b = −0.789312 + 0.357523I
7.96585 + 4.10763I 0
u = 0.02062 − 1.42200I
a = 0.432581 − 0.754867I
b = −0.789312 − 0.357523I
7.96585 − 4.10763I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.35181 + 1.38171I
a = −1.45295 − 1.07127I
b = 0.60544 − 1.53791I
−4.91513 − 11.63040I 0
u = 0.35181 − 1.38171I
a = −1.45295 + 1.07127I
b = 0.60544 + 1.53791I
−4.91513 + 11.63040I 0
u = 0.23073 + 1.41737I
a = 0.178281 + 0.738035I
b = −0.679647 + 0.090588I
8.03217 − 6.91623I 0
u = 0.23073 − 1.41737I
a = 0.178281 − 0.738035I
b = −0.679647 − 0.090588I
8.03217 + 6.91623I 0
u = −0.05264 + 1.44906I
a = 0.230026 + 0.531076I
b = −0.297269 − 1.100570I
0.78465 + 3.44901I 0
u = −0.05264 − 1.44906I
a = 0.230026 − 0.531076I
b = −0.297269 + 1.100570I
0.78465 − 3.44901I 0
u = −0.37596 + 1.41268I
a = −1.36528 + 1.12032I
b = 0.55134 + 1.48619I
−1.2168 + 18.1462I 0
u = −0.37596 − 1.41268I
a = −1.36528 − 1.12032I
b = 0.55134 − 1.48619I
−1.2168 − 18.1462I 0
u = −0.513629
a = 0.942963
b = 0.489457
−1.00417 −9.25650
u = −0.323556 + 0.388501I
a = 2.14061 − 0.94998I
b = 0.21788 − 1.43964I
−2.18284 + 1.26597I −8.57108 + 1.19721I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.323556 − 0.388501I
a = 2.14061 + 0.94998I
b = 0.21788 + 1.43964I
−2.18284 − 1.26597I −8.57108 − 1.19721I
u = −0.190784 + 0.456887I
a = 0.36048 + 1.81087I
b = −0.439215 + 1.010850I
0.99579 − 4.24735I −5.08512 + 0.45385I
u = −0.190784 − 0.456887I
a = 0.36048 − 1.81087I
b = −0.439215 − 1.010850I
0.99579 + 4.24735I −5.08512 − 0.45385I
u = −0.43979 + 1.47867I
a = 0.885017 − 0.818042I
b = −0.308812 − 1.148350I
−0.45773 + 8.32281I 0
u = −0.43979 − 1.47867I
a = 0.885017 + 0.818042I
b = −0.308812 + 1.148350I
−0.45773 − 8.32281I 0
u = 0.09062 + 1.59376I
a = 0.266598 + 0.074268I
b = −0.274397 + 1.139190I
5.65632 − 7.83814I 0
u = 0.09062 − 1.59376I
a = 0.266598 − 0.074268I
b = −0.274397 − 1.139190I
5.65632 + 7.83814I 0
u = −0.232392 + 0.322404I
a = 0.69704 − 1.31730I
b = −0.275570 − 0.789921I
−0.534371 + 1.163650I −6.49007 − 6.43502I
u = −0.232392 − 0.322404I
a = 0.69704 + 1.31730I
b = −0.275570 + 0.789921I
−0.534371 − 1.163650I −6.49007 + 6.43502I
u = −0.0576275
a = 16.0040
b = 0.598579
−1.41672 −4.29020
15
II.
I
u
2
= hu
17
−3u
16
+· · ·−4u
2
+b, −2u
17
+3u
16
+· · ·+ a + 3 , u
18
−2u
17
+· · ·−2u+1i
(i) Arc colorings
a
8
=
0
u
a
11
=
1
0
a
12
=
1
u
2
a
7
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
4
+ 2u
2
a
3
=
2u
17
− 3u
16
+ ··· + 5u − 3
−u
17
+ 3u
16
+ ··· + 11u
3
+ 4u
2
a
6
=
u
3
+ 2u
u
3
+ u
a
2
=
2u
17
− 4u
16
+ ··· + 7u − 4
−u
17
+ 3u
16
+ ··· + 11u
3
+ 6u
2
a
5
=
−u
17
+ 2u
16
+ ··· + 5u + 2
2u
17
− 4u
16
+ ··· − 7u
2
+ 4u
a
10
=
−u
17
− 7u
15
+ ··· − 7u + 1
−u
17
+ 2u
16
+ ··· + 2u
2
− 3u
a
4
=
u
17
− 2u
16
+ ··· + 12u − 3
u
16
− 2u
15
+ ··· − u
2
+ 2u
a
9
=
−u
17
+ u
16
+ ··· − 10u + 1
−u
15
+ u
14
+ ··· − u
2
− 2u
(ii) Obstruction class = 1
(iii) Cusp Shapes = u
17
− 12u
16
+ 30u
15
− 108u
14
+ 186u
13
− 376u
12
+ 488u
11
−
611u
10
+ 573u
9
− 379u
8
+ 148u
7
+ 108u
6
− 238u
5
+ 175u
4
− 110u
3
− 11u
2
+ 39u − 24
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
18
− 3u
17
+ ··· − 12u + 1
c
2
u
18
+ 6u
17
+ ··· + 3u + 1
c
3
u
18
+ 3u
16
+ ··· − u − 1
c
4
u
18
+ u
17
+ ··· − 3u
2
− 1
c
5
u
18
− 6u
17
+ ··· − 3u + 1
c
6
u
18
− 2u
17
+ ··· − 2u + 1
c
7
u
18
+ 2u
17
+ ··· + 2u + 1
c
8
u
18
− u
17
+ ··· − 3u
2
− 1
c
9
u
18
+ u
17
+ ··· − 8u
2
+ 1
c
10
u
18
+ 3u
16
+ ··· + u − 1
c
11
, c
12
u
18
− 2u
17
+ ··· − 2u + 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
18
− 3y
17
+ ··· − 24y + 1
c
2
, c
5
y
18
− 18y
17
+ ··· − 9y + 1
c
3
, c
10
y
18
+ 6y
17
+ ··· + 3y + 1
c
4
, c
8
y
18
+ 3y
17
+ ··· + 6y + 1
c
6
y
18
− 6y
17
+ ··· + 22y
2
+ 1
c
7
, c
11
, c
12
y
18
+ 18y
17
+ ··· + 30y
2
+ 1
c
9
y
18
+ 3y
17
+ ··· − 16y + 1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.899070 + 0.296939I
a = −0.78660 − 1.51879I
b = 0.127629 − 1.200400I
−6.06159 − 2.47615I −10.59940 + 0.77033I
u = 0.899070 − 0.296939I
a = −0.78660 + 1.51879I
b = 0.127629 + 1.200400I
−6.06159 + 2.47615I −10.59940 − 0.77033I
u = 0.204639 + 1.135870I
a = 0.56272 − 1.33211I
b = −0.079922 − 1.388890I
−4.06126 − 1.19772I −12.19608 − 0.41000I
u = 0.204639 − 1.135870I
a = 0.56272 + 1.33211I
b = −0.079922 + 1.388890I
−4.06126 + 1.19772I −12.19608 + 0.41000I
u = 0.048213 + 1.273000I
a = −0.79521 − 1.22515I
b = 0.471201 + 0.767194I
3.74341 + 4.09979I −2.54920 − 6.04640I
u = 0.048213 − 1.273000I
a = −0.79521 + 1.22515I
b = 0.471201 − 0.767194I
3.74341 − 4.09979I −2.54920 + 6.04640I
u = −0.689419
a = 0.667245
b = 1.07551
−3.41868 −11.8650
u = −0.279230 + 1.288320I
a = 0.507129 − 0.584360I
b = −1.085760 + 0.082045I
0.60877 + 3.49550I −7.35924 − 2.49555I
u = −0.279230 − 1.288320I
a = 0.507129 + 0.584360I
b = −1.085760 − 0.082045I
0.60877 − 3.49550I −7.35924 + 2.49555I
u = −0.138567 + 1.327240I
a = 0.072237 + 1.066510I
b = 0.843586 + 0.108155I
2.43103 + 1.96189I −12.44412 − 2.82262I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.138567 − 1.327240I
a = 0.072237 − 1.066510I
b = 0.843586 − 0.108155I
2.43103 − 1.96189I −12.44412 + 2.82262I
u = 0.43736 + 1.35700I
a = 1.19641 + 1.07688I
b = −0.266574 + 1.110210I
−0.98296 − 7.39826I −8.48477 + 5.54499I
u = 0.43736 − 1.35700I
a = 1.19641 − 1.07688I
b = −0.266574 − 1.110210I
−0.98296 + 7.39826I −8.48477 − 5.54499I
u = 0.15185 + 1.48120I
a = 0.126254 − 0.390239I
b = 0.233323 − 0.718874I
6.53198 − 6.58971I −4.57522 + 4.29356I
u = 0.15185 − 1.48120I
a = 0.126254 + 0.390239I
b = 0.233323 + 0.718874I
6.53198 + 6.58971I −4.57522 − 4.29356I
u = −0.408552
a = −3.20878
b = −0.871014
−1.85255 −27.0540
u = 0.225646 + 0.283632I
a = −2.61216 + 2.02448I
b = −0.345729 + 0.782049I
0.42622 − 4.93589I −12.3326 + 7.2983I
u = 0.225646 − 0.283632I
a = −2.61216 − 2.02448I
b = −0.345729 − 0.782049I
0.42622 + 4.93589I −12.3326 − 7.2983I
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
18
− 3u
17
+ ··· − 12u + 1)(u
110
− 12u
109
+ ··· + 30u − 1)
c
2
(u
18
+ 6u
17
+ ··· + 3u + 1)(u
110
+ u
109
+ ··· + 44559u + 1087)
c
3
(u
18
+ 3u
16
+ ··· − u − 1)(u
110
+ u
109
+ ··· − 21765u + 12969)
c
4
(u
18
+ u
17
+ ··· − 3u
2
− 1)(u
110
+ 4u
109
+ ··· + 1542u + 279)
c
5
(u
18
− 6u
17
+ ··· − 3u + 1)(u
110
+ u
109
+ ··· + 44559u + 1087)
c
6
(u
18
− 2u
17
+ ··· − 2u + 1)(u
110
− u
109
+ ··· + 1.07913 × 10
7
u + 468259)
c
7
(u
18
+ 2u
17
+ ··· + 2u + 1)(u
110
+ u
109
+ ··· + 278u + 11)
c
8
(u
18
− u
17
+ ··· − 3u
2
− 1)(u
110
+ 4u
109
+ ··· + 1542u + 279)
c
9
(u
18
+ u
17
+ ··· − 8u
2
+ 1)(u
110
+ 6u
109
+ ··· + 37u
2
− 1)
c
10
(u
18
+ 3u
16
+ ··· + u − 1)(u
110
+ u
109
+ ··· − 21765u + 12969)
c
11
, c
12
(u
18
− 2u
17
+ ··· − 2u + 1)(u
110
+ u
109
+ ··· + 278u + 11)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
18
− 3y
17
+ ··· − 24y + 1)(y
110
− 10y
109
+ ··· − 82y + 1)
c
2
, c
5
(y
18
− 18y
17
+ ··· − 9y + 1)
· (y
110
− 85y
109
+ ··· − 674723791y + 1181569)
c
3
, c
10
(y
18
+ 6y
17
+ ··· + 3y + 1)
· (y
110
+ 79y
109
+ ··· − 4284448371y + 168194961)
c
4
, c
8
(y
18
+ 3y
17
+ ··· + 6y + 1)(y
110
+ 56y
109
+ ··· + 3663144y + 77841)
c
6
(y
18
− 6y
17
+ ··· + 22y
2
+ 1)
· (y
110
− 53y
109
+ ··· − 63491367640358y + 219266491081)
c
7
, c
11
, c
12
(y
18
+ 18y
17
+ ··· + 30y
2
+ 1)(y
110
+ 95y
109
+ ··· − 35726y + 121)
c
9
(y
18
+ 3y
17
+ ··· − 16y + 1)(y
110
+ 102y
108
+ ··· − 74y + 1)
22
