12a
0405
(K12a
0405
)
A knot diagram
1
Linearized knot diagam
3 6 9 11 7 2 12 5 1 4 8 10
Solving Sequence
5,11 4,9
3 8 12 7 10 1 2 6
c
4
c
3
c
8
c
11
c
7
c
10
c
12
c
1
c
6
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.74918 × 10
481
u
118
+ 1.13087 × 10
480
u
117
+ ··· + 3.76444 × 10
482
b − 5.51380 × 10
484
,
− 1.88038 × 10
485
u
118
− 5.43563 × 10
485
u
117
+ ··· + 1.64393 × 10
486
a − 1.41886 × 10
489
,
u
119
+ u
118
+ ··· + 4696u − 4367i
I
u
2
= h134204u
23
− 60433u
22
+ ··· + 61210b + 20157, 66179u
23
+ 20157u
22
+ ··· + 61210a + 542412,
u
24
− 12u
22
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 143 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
= h1.75 × 10
481
u
118
+ 1.13 × 10
480
u
117
+ · · · + 3.76 × 10
482
b − 5.51 ×
10
484
, −1.88 × 10
485
u
118
− 5.44 × 10
485
u
117
+ · · · + 1.64 × 10
486
a − 1.42 ×
10
489
, u
119
+ u
118
+ · · · + 4696u − 4367i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
9
=
0.114383u
118
+ 0.330648u
117
+ ··· − 479.984u + 863.088
−0.0464657u
118
− 0.00300409u
117
+ ··· − 357.274u + 146.471
a
3
=
0.280271u
118
+ 0.0944427u
117
+ ··· + 1600.16u − 614.771
−0.263990u
118
− 0.219179u
117
+ ··· − 1351.59u + 269.403
a
8
=
0.0679176u
118
+ 0.327644u
117
+ ··· − 837.258u + 1009.56
−0.0464657u
118
− 0.00300409u
117
+ ··· − 357.274u + 146.471
a
12
=
0.0912004u
118
+ 0.106850u
117
+ ··· + 7.29293u + 233.640
0.0276670u
118
+ 0.278787u
117
+ ··· − 959.393u + 957.198
a
7
=
0.337154u
118
− 0.160946u
117
+ ··· + 3118.25u − 1883.61
−0.00674423u
118
+ 0.0484890u
117
+ ··· − 547.872u + 378.354
a
10
=
u
−u
3
+ u
a
1
=
−0.0340855u
118
− 0.210614u
117
+ ··· + 513.977u − 581.351
0.0715432u
118
+ 0.326265u
117
+ ··· − 808.053u + 981.448
a
2
=
−0.463324u
118
+ 0.0153182u
117
+ ··· − 1875.61u + 975.097
0.242350u
118
+ 0.159986u
117
+ ··· + 913.110u − 158.555
a
6
=
1.30834u
118
− 0.0714837u
117
+ ··· + 11338.6u − 5626.43
−0.0561421u
118
− 0.0515743u
117
+ ··· − 1003.85u + 404.609
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.522519u
118
+ 0.0348626u
117
+ ··· − 3209.51u + 1608.47
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
119
+ 35u
118
+ ··· − 7880u − 289
c
2
, c
6
u
119
− 5u
118
+ ··· + 46u + 17
c
3
u
119
+ u
118
+ ··· − 1436808u + 659257
c
4
, c
10
u
119
− u
118
+ ··· + 4696u + 4367
c
7
, c
11
u
119
− 3u
118
+ ··· + 103202u + 32411
c
8
u
119
− 3u
118
+ ··· + 64836u − 22801
c
9
, c
12
u
119
− 5u
118
+ ··· + 3020u + 193
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
119
+ 107y
118
+ ··· + 4464332y −83521
c
2
, c
6
y
119
+ 35y
118
+ ··· − 7880y −289
c
3
y
119
+ 27y
118
+ ··· − 1873336698762y −434619792049
c
4
, c
10
y
119
− 89y
118
+ ··· + 330458690y −19070689
c
7
, c
11
y
119
+ 77y
118
+ ··· − 37961568944y −1050472921
c
8
y
119
− 23y
118
+ ··· − 50998608552y −519885601
c
9
, c
12
y
119
+ 83y
118
+ ··· − 617994y −37249
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.993748 + 0.091821I
a = −1.70614 + 0.86778I
b = 1.132030 + 0.432994I
−0.94803 − 1.18403I 0
u = 0.993748 − 0.091821I
a = −1.70614 − 0.86778I
b = 1.132030 − 0.432994I
−0.94803 + 1.18403I 0
u = 0.829298 + 0.570846I
a = −0.264246 + 0.851694I
b = 0.723253 − 0.622706I
−0.56186 − 2.52796I 0
u = 0.829298 − 0.570846I
a = −0.264246 − 0.851694I
b = 0.723253 + 0.622706I
−0.56186 + 2.52796I 0
u = −0.757272 + 0.636922I
a = 0.96387 + 1.13176I
b = −1.38287 − 0.30849I
0.29794 + 2.49737I 0
u = −0.757272 − 0.636922I
a = 0.96387 − 1.13176I
b = −1.38287 + 0.30849I
0.29794 − 2.49737I 0
u = 1.013900 + 0.133581I
a = −1.03736 + 1.51221I
b = 0.99999 − 2.41027I
4.66092 − 1.24632I 0
u = 1.013900 − 0.133581I
a = −1.03736 − 1.51221I
b = 0.99999 + 2.41027I
4.66092 + 1.24632I 0
u = −1.018330 + 0.145909I
a = 0.75821 + 1.64128I
b = −0.75854 − 2.53994I
4.41042 + 7.48872I 0
u = −1.018330 − 0.145909I
a = 0.75821 − 1.64128I
b = −0.75854 + 2.53994I
4.41042 − 7.48872I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.033200 + 0.110074I
a = 1.68503 + 1.10806I
b = −1.039290 + 0.387279I
−2.09560 + 6.34471I 0
u = −1.033200 − 0.110074I
a = 1.68503 − 1.10806I
b = −1.039290 − 0.387279I
−2.09560 − 6.34471I 0
u = 1.052780 + 0.028627I
a = −1.073540 − 0.159204I
b = 0.907167 − 1.022340I
−1.70067 − 0.88334I 0
u = 1.052780 − 0.028627I
a = −1.073540 + 0.159204I
b = 0.907167 + 1.022340I
−1.70067 + 0.88334I 0
u = 1.06159
a = 1.29131
b = −0.647519
−1.95196 0
u = 0.894736 + 0.271341I
a = −1.66578 + 0.77927I
b = 1.060870 + 0.194528I
−0.509475 − 1.301390I 0
u = 0.894736 − 0.271341I
a = −1.66578 − 0.77927I
b = 1.060870 − 0.194528I
−0.509475 + 1.301390I 0
u = −1.071880 + 0.062292I
a = 1.12239 + 0.97864I
b = −0.863779 + 0.520675I
−6.24332 + 0.48076I 0
u = −1.071880 − 0.062292I
a = 1.12239 − 0.97864I
b = −0.863779 − 0.520675I
−6.24332 − 0.48076I 0
u = −0.850086 + 0.665157I
a = 0.66917 + 1.45879I
b = −1.34377 − 0.83569I
4.24668 + 0.15654I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.850086 − 0.665157I
a = 0.66917 − 1.45879I
b = −1.34377 + 0.83569I
4.24668 − 0.15654I 0
u = 0.867716 + 0.651414I
a = −0.53938 + 1.46706I
b = 1.23335 − 0.91377I
4.11810 − 5.86438I 0
u = 0.867716 − 0.651414I
a = −0.53938 − 1.46706I
b = 1.23335 + 0.91377I
4.11810 + 5.86438I 0
u = −0.603923 + 0.667428I
a = 1.16982 + 0.94614I
b = −1.56551 + 0.22793I
4.84094 + 4.92640I 0
u = −0.603923 − 0.667428I
a = 1.16982 − 0.94614I
b = −1.56551 − 0.22793I
4.84094 − 4.92640I 0
u = 1.102390 + 0.265589I
a = 1.32591 + 0.69545I
b = −0.543730 − 0.841832I
1.68958 − 0.30415I 0
u = 1.102390 − 0.265589I
a = 1.32591 − 0.69545I
b = −0.543730 + 0.841832I
1.68958 + 0.30415I 0
u = 0.562668 + 0.653052I
a = −1.12617 + 0.88513I
b = 1.48777 + 0.34560I
4.84884 + 0.87854I 0
u = 0.562668 − 0.653052I
a = −1.12617 − 0.88513I
b = 1.48777 − 0.34560I
4.84884 − 0.87854I 0
u = −0.590349 + 0.621663I
a = −0.385476 + 0.434902I
b = −0.757976 + 0.170834I
−1.16159 − 4.09220I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.590349 − 0.621663I
a = −0.385476 − 0.434902I
b = −0.757976 − 0.170834I
−1.16159 + 4.09220I 0
u = −0.194234 + 0.825308I
a = 0.630135 + 0.100889I
b = −0.333873 − 1.172770I
9.09041 − 0.81528I 0
u = −0.194234 − 0.825308I
a = 0.630135 − 0.100889I
b = −0.333873 + 1.172770I
9.09041 + 0.81528I 0
u = −1.144880 + 0.132846I
a = −0.207806 + 0.263867I
b = 0.095170 − 1.352860I
−2.98625 + 4.80376I 0
u = −1.144880 − 0.132846I
a = −0.207806 − 0.263867I
b = 0.095170 + 1.352860I
−2.98625 − 4.80376I 0
u = −1.052790 + 0.490303I
a = 1.343810 + 0.047339I
b = −0.709913 + 0.279804I
1.86311 + 3.69038I 0
u = −1.052790 − 0.490303I
a = 1.343810 − 0.047339I
b = −0.709913 − 0.279804I
1.86311 − 3.69038I 0
u = 1.113830 + 0.377543I
a = −1.83215 + 0.01505I
b = 0.884890 + 0.434873I
−1.09608 − 6.48055I 0
u = 1.113830 − 0.377543I
a = −1.83215 − 0.01505I
b = 0.884890 − 0.434873I
−1.09608 + 6.48055I 0
u = −1.150550 + 0.256610I
a = −1.47925 + 0.67611I
b = 0.702963 − 0.878523I
1.35669 + 6.10854I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.150550 − 0.256610I
a = −1.47925 − 0.67611I
b = 0.702963 + 0.878523I
1.35669 − 6.10854I 0
u = −1.180750 + 0.080032I
a = −1.57694 + 0.23719I
b = 1.032360 − 0.365089I
−4.44393 + 2.41075I 0
u = −1.180750 − 0.080032I
a = −1.57694 − 0.23719I
b = 1.032360 + 0.365089I
−4.44393 − 2.41075I 0
u = 0.440014 + 0.682070I
a = −0.274980 − 0.055179I
b = 0.460698 − 0.695385I
1.09804 + 2.43325I 0
u = 0.440014 − 0.682070I
a = −0.274980 + 0.055179I
b = 0.460698 + 0.695385I
1.09804 − 2.43325I 0
u = −1.188530 + 0.007153I
a = 0.076112 − 0.745600I
b = −0.222787 − 0.586962I
−2.95282 + 5.04020I 0
u = −1.188530 − 0.007153I
a = 0.076112 + 0.745600I
b = −0.222787 + 0.586962I
−2.95282 − 5.04020I 0
u = 0.175678 + 0.780627I
a = −0.697871 + 0.030103I
b = 0.446186 − 1.189510I
8.45212 + 7.03911I 0
u = 0.175678 − 0.780627I
a = −0.697871 − 0.030103I
b = 0.446186 + 1.189510I
8.45212 − 7.03911I 0
u = 0.077746 + 1.219410I
a = −0.018029 + 0.290638I
b = −0.883143 − 0.787783I
6.09753 − 12.17320I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.077746 − 1.219410I
a = −0.018029 − 0.290638I
b = −0.883143 + 0.787783I
6.09753 + 12.17320I 0
u = −0.105421 + 1.221150I
a = 0.067558 + 0.290538I
b = 0.769815 − 0.804760I
7.11301 + 5.86529I 0
u = −0.105421 − 1.221150I
a = 0.067558 − 0.290538I
b = 0.769815 + 0.804760I
7.11301 − 5.86529I 0
u = −0.592303 + 1.082860I
a = 0.294892 + 0.076098I
b = 0.003951 − 0.511174I
3.59851 + 1.54306I 0
u = −0.592303 − 1.082860I
a = 0.294892 − 0.076098I
b = 0.003951 + 0.511174I
3.59851 − 1.54306I 0
u = −0.140301 + 0.748675I
a = −0.586092 − 0.051997I
b = −0.860870 + 0.443851I
−4.26290 + 2.01587I −10.93941 − 3.73280I
u = −0.140301 − 0.748675I
a = −0.586092 + 0.051997I
b = −0.860870 − 0.443851I
−4.26290 − 2.01587I −10.93941 + 3.73280I
u = 1.269150 + 0.039754I
a = 0.514191 − 0.844116I
b = −0.205954 − 0.423162I
−2.84778 − 0.03444I 0
u = 1.269150 − 0.039754I
a = 0.514191 + 0.844116I
b = −0.205954 + 0.423162I
−2.84778 + 0.03444I 0
u = 0.703499 + 0.171720I
a = −2.55114 − 1.67369I
b = 1.47594 + 0.85405I
5.50016 − 0.24366I 0. + 1.50945I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.703499 − 0.171720I
a = −2.55114 + 1.67369I
b = 1.47594 − 0.85405I
5.50016 + 0.24366I 0. − 1.50945I
u = 1.212390 + 0.406742I
a = −1.89844 − 0.46020I
b = 0.823162 + 0.650134I
5.22065 − 11.39210I 0
u = 1.212390 − 0.406742I
a = −1.89844 + 0.46020I
b = 0.823162 − 0.650134I
5.22065 + 11.39210I 0
u = −1.207090 + 0.431148I
a = 1.77404 − 0.47413I
b = −0.759334 + 0.634410I
5.92831 + 5.38150I 0
u = −1.207090 − 0.431148I
a = 1.77404 + 0.47413I
b = −0.759334 − 0.634410I
5.92831 − 5.38150I 0
u = −1.222560 + 0.413704I
a = −1.74884 + 0.17727I
b = 1.68247 − 1.22932I
−1.93298 + 5.41868I 0
u = −1.222560 − 0.413704I
a = −1.74884 − 0.17727I
b = 1.68247 + 1.22932I
−1.93298 − 5.41868I 0
u = 0.099659 + 0.698115I
a = −0.964153 − 0.626279I
b = −0.826983 + 0.867480I
0.81558 + 7.01541I −3.01914 − 6.58174I
u = 0.099659 − 0.698115I
a = −0.964153 + 0.626279I
b = −0.826983 − 0.867480I
0.81558 − 7.01541I −3.01914 + 6.58174I
u = −0.669118 + 0.210478I
a = 2.51564 − 1.78531I
b = −1.30859 + 1.00851I
5.33147 − 5.82416I −0.62651 + 3.42933I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.669118 − 0.210478I
a = 2.51564 + 1.78531I
b = −1.30859 − 1.00851I
5.33147 + 5.82416I −0.62651 − 3.42933I
u = 1.231550 + 0.438160I
a = 1.82007 + 0.08404I
b = −1.77901 − 1.15060I
−2.60382 − 11.33900I 0
u = 1.231550 − 0.438160I
a = 1.82007 − 0.08404I
b = −1.77901 + 1.15060I
−2.60382 + 11.33900I 0
u = 1.345000 + 0.113830I
a = 1.27445 − 0.70699I
b = −0.799695 − 0.401265I
−6.06080 − 3.71647I 0
u = 1.345000 − 0.113830I
a = 1.27445 + 0.70699I
b = −0.799695 + 0.401265I
−6.06080 + 3.71647I 0
u = −1.342390 + 0.184944I
a = −1.42707 − 0.08861I
b = 1.037860 − 0.755404I
−4.95434 + 3.38613I 0
u = −1.342390 − 0.184944I
a = −1.42707 + 0.08861I
b = 1.037860 + 0.755404I
−4.95434 − 3.38613I 0
u = −0.119199 + 0.625277I
a = 1.246230 − 0.612151I
b = 0.660237 + 0.886920I
1.40916 − 1.37431I −0.98344 + 1.45831I
u = −0.119199 − 0.625277I
a = 1.246230 + 0.612151I
b = 0.660237 − 0.886920I
1.40916 + 1.37431I −0.98344 − 1.45831I
u = 0.435878 + 0.460918I
a = 0.501651 + 0.361928I
b = 0.632035 + 0.167119I
0.024768 − 0.911188I −4.48800 + 5.25224I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.435878 − 0.460918I
a = 0.501651 − 0.361928I
b = 0.632035 − 0.167119I
0.024768 + 0.911188I −4.48800 − 5.25224I
u = 0.023918 + 0.627129I
a = −0.044179 + 0.176631I
b = 0.077657 + 1.133210I
4.86132 − 2.92884I 2.22301 + 3.01565I
u = 0.023918 − 0.627129I
a = −0.044179 − 0.176631I
b = 0.077657 − 1.133210I
4.86132 + 2.92884I 2.22301 − 3.01565I
u = −1.343550 + 0.316285I
a = −1.304540 + 0.017905I
b = 1.21750 − 0.89657I
−5.24287 + 3.92460I 0
u = −1.343550 − 0.316285I
a = −1.304540 − 0.017905I
b = 1.21750 + 0.89657I
−5.24287 − 3.92460I 0
u = 1.318740 + 0.418103I
a = 1.52853 − 0.13017I
b = −1.54112 − 0.83878I
−8.65926 − 6.39132I 0
u = 1.318740 − 0.418103I
a = 1.52853 + 0.13017I
b = −1.54112 + 0.83878I
−8.65926 + 6.39132I 0
u = −1.385000 + 0.162575I
a = −1.81739 − 0.52629I
b = 1.182280 − 0.450826I
−1.20792 + 1.51689I 0
u = −1.385000 − 0.162575I
a = −1.81739 + 0.52629I
b = 1.182280 + 0.450826I
−1.20792 − 1.51689I 0
u = 1.389660 + 0.149711I
a = 1.78063 − 0.65478I
b = −1.148410 − 0.371743I
−1.41681 − 7.20219I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.389660 − 0.149711I
a = 1.78063 + 0.65478I
b = −1.148410 + 0.371743I
−1.41681 + 7.20219I 0
u = 0.02596 + 1.45717I
a = −0.070555 + 0.131602I
b = −0.654297 − 0.337584I
−1.34996 − 5.61432I 0
u = 0.02596 − 1.45717I
a = −0.070555 − 0.131602I
b = −0.654297 + 0.337584I
−1.34996 + 5.61432I 0
u = 1.45078 + 0.38602I
a = 1.135720 − 0.190318I
b = −1.193420 − 0.602686I
−7.60121 − 0.34338I 0
u = 1.45078 − 0.38602I
a = 1.135720 + 0.190318I
b = −1.193420 + 0.602686I
−7.60121 + 0.34338I 0
u = −1.41696 + 0.55937I
a = 1.58122 − 0.05743I
b = −1.50659 + 1.05565I
1.4247 + 18.3744I 0
u = −1.41696 − 0.55937I
a = 1.58122 + 0.05743I
b = −1.50659 − 1.05565I
1.4247 − 18.3744I 0
u = 1.42073 + 0.55878I
a = −1.51903 − 0.12570I
b = 1.44479 + 1.09425I
2.36806 − 12.06800I 0
u = 1.42073 − 0.55878I
a = −1.51903 + 0.12570I
b = 1.44479 − 1.09425I
2.36806 + 12.06800I 0
u = −1.41739 + 0.58127I
a = 1.251370 + 0.093313I
b = −1.29430 + 0.86963I
−5.94696 + 12.29460I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41739 − 0.58127I
a = 1.251370 − 0.093313I
b = −1.29430 − 0.86963I
−5.94696 − 12.29460I 0
u = −1.11735 + 1.06629I
a = 0.308057 − 0.157627I
b = 0.0376253 − 0.1082990I
3.69610 + 1.62803I 0
u = −1.11735 − 1.06629I
a = 0.308057 + 0.157627I
b = 0.0376253 + 0.1082990I
3.69610 − 1.62803I 0
u = 0.216441 + 0.390799I
a = 0.229350 + 0.502257I
b = 0.417198 + 0.377111I
−0.174303 − 1.015090I −3.07045 + 6.48441I
u = 0.216441 − 0.390799I
a = 0.229350 − 0.502257I
b = 0.417198 − 0.377111I
−0.174303 + 1.015090I −3.07045 − 6.48441I
u = 0.272528 + 0.342861I
a = 0.03378 + 1.58979I
b = 0.622769 + 0.294577I
−0.089774 − 1.203560I −5.63891 + 4.72311I
u = 0.272528 − 0.342861I
a = 0.03378 − 1.58979I
b = 0.622769 − 0.294577I
−0.089774 + 1.203560I −5.63891 − 4.72311I
u = 1.45149 + 0.59240I
a = −1.035130 − 0.102421I
b = 1.08289 + 0.95893I
−2.11151 − 8.25906I 0
u = 1.45149 − 0.59240I
a = −1.035130 + 0.102421I
b = 1.08289 − 0.95893I
−2.11151 + 8.25906I 0
u = −1.43547 + 0.67940I
a = 0.728367 + 0.116580I
b = −0.928092 + 0.700047I
−6.36420 + 4.28367I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43547 − 0.67940I
a = 0.728367 − 0.116580I
b = −0.928092 − 0.700047I
−6.36420 − 4.28367I 0
u = −0.341916 + 0.204116I
a = 2.76733 − 1.85047I
b = −0.376461 + 0.667947I
−0.61691 − 3.18336I −4.96615 − 1.85608I
u = −0.341916 − 0.204116I
a = 2.76733 + 1.85047I
b = −0.376461 − 0.667947I
−0.61691 + 3.18336I −4.96615 + 1.85608I
u = −1.76703 + 0.13983I
a = −0.238752 − 0.553173I
b = 0.255687 + 1.051850I
2.25382 − 3.52138I 0
u = −1.76703 − 0.13983I
a = −0.238752 + 0.553173I
b = 0.255687 − 1.051850I
2.25382 + 3.52138I 0
u = 1.78247 + 0.42258I
a = −0.157575 − 0.477561I
b = 0.177339 + 1.014850I
2.81635 − 3.45183I 0
u = 1.78247 − 0.42258I
a = −0.157575 + 0.477561I
b = 0.177339 − 1.014850I
2.81635 + 3.45183I 0
u = 1.65467 + 0.92828I
a = 0.042499 − 0.327648I
b = −0.355810 − 0.071639I
1.89327 + 4.81903I 0
u = 1.65467 − 0.92828I
a = 0.042499 + 0.327648I
b = −0.355810 + 0.071639I
1.89327 − 4.81903I 0
16
II. I
u
2
= h134204u
23
− 60433u
22
+ · · · + 61210b + 20157, 66179u
23
+
20157u
22
+ · · · + 61210a + 542412, u
24
− 12u
22
+ · · · + 4u + 1i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
9
=
−1.08118u
23
− 0.329309u
22
+ ··· − 20.2122u − 8.86149
−2.19252u
23
+ 0.987306u
22
+ ··· − 2.39842u − 0.329309
a
3
=
−2.21240u
23
+ 2.45837u
22
+ ··· − 12.1579u − 0.377193
1.88309u
23
− 1.26586u
22
+ ··· + 11.6211u + 3.45837
a
8
=
−3.27370u
23
+ 0.657997u
22
+ ··· − 22.6106u − 9.19080
−2.19252u
23
+ 0.987306u
22
+ ··· − 2.39842u − 0.329309
a
12
=
3.08118u
23
+ 0.329309u
22
+ ··· + 18.2122u + 12.8615
u
23
− 11u
21
+ ··· − 4u
2
+ u
a
7
=
−1.62281u
23
− 0.212400u
22
+ ··· − 15.7398u − 12.6491
−0.826777u
23
− 0.360905u
22
+ ··· + 1.64171u − 0.657997
a
10
=
u
−u
3
+ u
a
1
=
1.90796u
23
+ 0.690214u
22
+ ··· + 17.5705u + 13.5195
0.563290u
23
+ 0.271230u
22
+ ··· + 0.628688u + 1.01890
a
2
=
−0.315896u
23
+ 4.01278u
22
+ ··· − 9.80752u + 5.46270
0.883091u
23
− 1.26586u
22
+ ··· + 13.6211u + 5.45837
a
6
=
5.24310u
23
− 3.62857u
22
+ ··· + 26.6345u + 5.53905
−0.246512u
23
+ 0.448995u
22
+ ··· − 1.31706u − 0.890737
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
63410
6121
u
23
+
58260
6121
u
22
+ ··· −
336720
6121
u −
122543
6121
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
24
− 8u
23
+ ··· − 16u + 1
c
2
u
24
+ 4u
22
+ ··· + 8u
2
+ 1
c
3
u
24
− 4u
22
+ ··· − 4u + 1
c
4
u
24
− 12u
22
+ ··· + 4u + 1
c
6
u
24
+ 4u
22
+ ··· + 8u
2
+ 1
c
7
u
24
− 2u
23
+ ··· + 4u + 1
c
8
u
24
+ 4u
23
+ ··· + 2u + 1
c
9
u
24
− 4u
23
+ ··· + 2u + 1
c
10
u
24
− 12u
22
+ ··· − 4u + 1
c
11
u
24
+ 2u
23
+ ··· − 4u + 1
c
12
u
24
+ 4u
23
+ ··· − 2u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
24
+ 24y
23
+ ··· − 12y + 1
c
2
, c
6
y
24
+ 8y
23
+ ··· + 16y + 1
c
3
y
24
− 8y
23
+ ··· + 6y + 1
c
4
, c
10
y
24
− 24y
23
+ ··· − 18y + 1
c
7
, c
11
y
24
+ 18y
23
+ ··· + 20y + 1
c
8
y
24
+ 2y
23
+ ··· − 16y + 1
c
9
, c
12
y
24
+ 20y
23
+ ··· + 18y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.823818 + 0.509047I
a = −1.15705 + 1.09651I
b = 1.35585 − 0.43774I
0.80666 − 2.12791I 2.15801 − 0.79148I
u = 0.823818 − 0.509047I
a = −1.15705 − 1.09651I
b = 1.35585 + 0.43774I
0.80666 + 2.12791I 2.15801 + 0.79148I
u = 0.473473 + 0.685310I
a = −0.877298 − 0.310074I
b = −0.490075 − 0.095328I
−0.54830 + 4.66085I −1.08361 − 5.65635I
u = 0.473473 − 0.685310I
a = −0.877298 + 0.310074I
b = −0.490075 + 0.095328I
−0.54830 − 4.66085I −1.08361 + 5.65635I
u = 0.758095 + 0.295027I
a = −1.21367 + 2.41142I
b = 1.11619 − 1.69292I
5.77004 − 1.21860I 2.61859 + 2.76979I
u = 0.758095 − 0.295027I
a = −1.21367 − 2.41142I
b = 1.11619 + 1.69292I
5.77004 + 1.21860I 2.61859 − 2.76979I
u = −0.737422 + 0.270431I
a = 0.99601 + 2.53886I
b = −0.83832 − 1.79310I
5.49811 + 7.28891I 1.57018 − 7.60427I
u = −0.737422 − 0.270431I
a = 0.99601 − 2.53886I
b = −0.83832 + 1.79310I
5.49811 − 7.28891I 1.57018 + 7.60427I
u = 1.230220 + 0.165715I
a = 1.56523 − 0.80023I
b = −0.998645 − 0.495374I
−3.13217 − 7.04885I −10.08631 + 8.53609I
u = 1.230220 − 0.165715I
a = 1.56523 + 0.80023I
b = −0.998645 + 0.495374I
−3.13217 + 7.04885I −10.08631 − 8.53609I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.248890 + 0.140758I
a = −1.67717 − 0.58824I
b = 1.045980 − 0.558472I
−2.65725 + 1.83677I −9.00337 − 2.42633I
u = −1.248890 − 0.140758I
a = −1.67717 + 0.58824I
b = 1.045980 + 0.558472I
−2.65725 − 1.83677I −9.00337 + 2.42633I
u = 1.306530 + 0.276619I
a = 0.892790 − 0.585095I
b = −0.765890 − 0.528255I
−6.28435 − 2.31851I −10.73720 + 0.38540I
u = 1.306530 − 0.276619I
a = 0.892790 + 0.585095I
b = −0.765890 + 0.528255I
−6.28435 + 2.31851I −10.73720 − 0.38540I
u = −1.349590 + 0.122631I
a = −1.312060 − 0.046641I
b = 0.899698 − 0.807863I
−4.88019 + 3.93694I −6.25559 − 11.08565I
u = −1.349590 − 0.122631I
a = −1.312060 + 0.046641I
b = 0.899698 + 0.807863I
−4.88019 − 3.93694I −6.25559 + 11.08565I
u = −0.483335 + 0.284939I
a = 0.25078 + 2.19288I
b = −0.225267 − 0.736854I
−0.76787 + 3.87710I −7.41482 − 9.46815I
u = −0.483335 − 0.284939I
a = 0.25078 − 2.19288I
b = −0.225267 + 0.736854I
−0.76787 − 3.87710I −7.41482 + 9.46815I
u = −0.359627 + 0.226494I
a = 1.96137 − 1.27534I
b = 0.390874 + 0.113977I
0.332844 − 0.265238I −2.87378 − 2.01816I
u = −0.359627 − 0.226494I
a = 1.96137 + 1.27534I
b = 0.390874 − 0.113977I
0.332844 + 0.265238I −2.87378 + 2.01816I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.36061 + 0.80604I
a = −0.450682 − 0.111904I
b = 0.716997 + 0.541360I
3.41356 − 2.24735I −0.68594 + 5.13502I
u = 1.36061 − 0.80604I
a = −0.450682 + 0.111904I
b = 0.716997 − 0.541360I
3.41356 + 2.24735I −0.68594 − 5.13502I
u = −1.77389 + 0.41695I
a = 0.021740 − 0.361154I
b = −0.207399 + 0.809528I
2.44892 − 4.49806I 0. + 7.60537I
u = −1.77389 − 0.41695I
a = 0.021740 + 0.361154I
b = −0.207399 − 0.809528I
2.44892 + 4.49806I 0. − 7.60537I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
(u
24
− 8u
23
+ ··· − 16u + 1)(u
119
+ 35u
118
+ ··· − 7880u − 289)
c
2
(u
24
+ 4u
22
+ ··· + 8u
2
+ 1)(u
119
− 5u
118
+ ··· + 46u + 17)
c
3
(u
24
− 4u
22
+ ··· − 4u + 1)(u
119
+ u
118
+ ··· − 1436808u + 659257)
c
4
(u
24
− 12u
22
+ ··· + 4u + 1)(u
119
− u
118
+ ··· + 4696u + 4367)
c
6
(u
24
+ 4u
22
+ ··· + 8u
2
+ 1)(u
119
− 5u
118
+ ··· + 46u + 17)
c
7
(u
24
− 2u
23
+ ··· + 4u + 1)(u
119
− 3u
118
+ ··· + 103202u + 32411)
c
8
(u
24
+ 4u
23
+ ··· + 2u + 1)(u
119
− 3u
118
+ ··· + 64836u − 22801)
c
9
(u
24
− 4u
23
+ ··· + 2u + 1)(u
119
− 5u
118
+ ··· + 3020u + 193)
c
10
(u
24
− 12u
22
+ ··· − 4u + 1)(u
119
− u
118
+ ··· + 4696u + 4367)
c
11
(u
24
+ 2u
23
+ ··· − 4u + 1)(u
119
− 3u
118
+ ··· + 103202u + 32411)
c
12
(u
24
+ 4u
23
+ ··· − 2u + 1)(u
119
− 5u
118
+ ··· + 3020u + 193)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
24
+ 24y
23
+ ··· − 12y + 1)
· (y
119
+ 107y
118
+ ··· + 4464332y −83521)
c
2
, c
6
(y
24
+ 8y
23
+ ··· + 16y + 1)(y
119
+ 35y
118
+ ··· − 7880y −289)
c
3
(y
24
− 8y
23
+ ··· + 6y + 1)
· (y
119
+ 27y
118
+ ··· − 1873336698762y −434619792049)
c
4
, c
10
(y
24
− 24y
23
+ ··· − 18y + 1)
· (y
119
− 89y
118
+ ··· + 330458690y −19070689)
c
7
, c
11
(y
24
+ 18y
23
+ ··· + 20y + 1)
· (y
119
+ 77y
118
+ ··· − 37961568944y −1050472921)
c
8
(y
24
+ 2y
23
+ ··· − 16y + 1)
· (y
119
− 23y
118
+ ··· − 50998608552y −519885601)
c
9
, c
12
(y
24
+ 20y
23
+ ··· + 18y + 1)(y
119
+ 83y
118
+ ··· − 617994y −37249)
24
