12a
0464
(K12a
0464
)
A knot diagram
1
Linearized knot diagam
3 6 11 7 9 2 10 1 5 12 4 8
Solving Sequence
3,6
2 7
1,9
5 10 4 8 12 11
c
2
c
6
c
1
c
5
c
9
c
4
c
8
c
12
c
10
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−9.04807 × 10
406
u
147
− 2.76096 × 10
407
u
146
+ ··· + 1.92577 × 10
408
b − 2.23875 × 10
410
,
2.14793 × 10
409
u
147
− 3.51499 × 10
409
u
146
+ ··· + 1.34996 × 10
411
a − 6.24570 × 10
412
,
u
148
+ 2u
147
+ ··· + 2531u + 701i
I
u
2
= h−3146106u
35
+ 3876595u
34
+ ··· + 1724315b + 7517731,
10268268u
35
− 15331195u
34
+ ··· + 1724315a − 6015468, u
36
− u
35
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 184 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−9.05 × 10
406
u
147
− 2.76 × 10
407
u
146
+ · · · + 1.93 × 10
408
b − 2.24 ×
10
410
, 2.15 × 10
409
u
147
− 3.51 × 10
409
u
146
+ · · · + 1.35 × 10
411
a − 6.25 ×
10
412
, u
148
+ 2u
147
+ · · · + 2531u + 701i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
9
=
−0.0159110u
147
+ 0.0260377u
146
+ ··· + 169.631u + 46.2657
0.0469842u
147
+ 0.143369u
146
+ ··· + 405.801u + 116.252
a
5
=
−0.0465841u
147
+ 0.0201408u
146
+ ··· + 402.993u + 158.980
0.0358114u
147
− 0.0197006u
146
+ ··· − 137.396u − 63.0475
a
10
=
0.0771767u
147
+ 0.00610062u
146
+ ··· − 296.017u − 141.082
−0.0264258u
147
− 0.144854u
146
+ ··· − 324.224u − 93.6180
a
4
=
−0.0342021u
147
+ 0.101606u
146
+ ··· + 694.847u + 253.271
0.0566151u
147
+ 0.0229606u
146
+ ··· + 2.26931u − 8.50367
a
8
=
−0.00994220u
147
+ 0.0634565u
146
+ ··· + 316.174u + 101.369
0.0609589u
147
+ 0.101110u
146
+ ··· + 169.224u + 49.1741
a
12
=
−0.0966279u
147
− 0.101794u
146
+ ··· + 97.6154u + 126.522
0.166862u
147
+ 0.374460u
146
+ ··· + 352.861u + 82.3272
a
11
=
−0.271375u
147
− 0.910200u
146
+ ··· − 1670.53u − 564.206
−0.0600355u
147
− 0.137866u
146
+ ··· − 183.561u − 47.5237
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.537377u
147
+ 0.175293u
146
+ ··· + 358.399u − 104.006
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
148
+ 72u
147
+ ··· + 11695261u + 491401
c
2
, c
6
u
148
− 2u
147
+ ··· − 2531u + 701
c
3
, c
11
u
148
− 3u
147
+ ··· + 448u + 79
c
4
u
148
− 11u
147
+ ··· − 304766u + 12641
c
5
, c
9
u
148
− 2u
147
+ ··· + 323478u + 28447
c
7
u
148
− 6u
147
+ ··· − 95114195u + 15948193
c
8
, c
12
u
148
+ 3u
147
+ ··· − 4435300u + 230749
c
10
u
148
− 65u
147
+ ··· − 211290u + 6241
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
148
+ 24y
147
+ ··· + 6272879625617y + 241474942801
c
2
, c
6
y
148
+ 72y
147
+ ··· + 11695261y + 491401
c
3
, c
11
y
148
− 65y
147
+ ··· − 211290y + 6241
c
4
y
148
− 21y
147
+ ··· + 6938479434y + 159794881
c
5
, c
9
y
148
+ 100y
147
+ ··· + 19545541408y + 809231809
c
7
y
148
− 54y
147
+ ··· − 12238567626382887y + 254344859965249
c
8
, c
12
y
148
− 121y
147
+ ··· − 6894134371112y + 53245101001
c
10
y
148
+ 55y
147
+ ··· + 170947586y + 38950081
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.425191 + 0.900886I
a = −0.908693 + 0.387376I
b = −1.11111 + 1.23624I
0.0966257 + 0.0356460I 0
u = −0.425191 − 0.900886I
a = −0.908693 − 0.387376I
b = −1.11111 − 1.23624I
0.0966257 − 0.0356460I 0
u = 0.615278 + 0.793735I
a = −0.444341 + 0.796795I
b = −1.277370 + 0.118783I
4.66104 + 0.59032I 0
u = 0.615278 − 0.793735I
a = −0.444341 − 0.796795I
b = −1.277370 − 0.118783I
4.66104 − 0.59032I 0
u = 0.955824 + 0.311247I
a = −0.09072 + 1.41279I
b = −1.046050 + 0.694704I
−6.54280 − 7.64347I 0
u = 0.955824 − 0.311247I
a = −0.09072 − 1.41279I
b = −1.046050 − 0.694704I
−6.54280 + 7.64347I 0
u = 0.827947 + 0.570448I
a = 0.887519 + 0.466404I
b = 0.862050 + 0.581341I
0.00196 + 4.07893I 0
u = 0.827947 − 0.570448I
a = 0.887519 − 0.466404I
b = 0.862050 − 0.581341I
0.00196 − 4.07893I 0
u = −0.172098 + 0.992907I
a = 1.089030 + 0.341264I
b = 1.72145 − 1.20543I
−5.29512 − 0.79673I 0
u = −0.172098 − 0.992907I
a = 1.089030 − 0.341264I
b = 1.72145 + 1.20543I
−5.29512 + 0.79673I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.674430 + 0.726719I
a = −0.907549 + 0.394204I
b = −0.811742 + 0.812398I
−0.111595 − 0.244550I 0
u = −0.674430 − 0.726719I
a = −0.907549 − 0.394204I
b = −0.811742 − 0.812398I
−0.111595 + 0.244550I 0
u = −0.887990 + 0.434785I
a = −0.11426 + 1.43706I
b = 0.952263 + 0.831720I
0.07879 + 5.21242I 0
u = −0.887990 − 0.434785I
a = −0.11426 − 1.43706I
b = 0.952263 − 0.831720I
0.07879 − 5.21242I 0
u = −0.786320 + 0.638765I
a = −0.100296 + 0.738323I
b = 0.043178 − 0.238664I
0.20776 − 5.21289I 0
u = −0.786320 − 0.638765I
a = −0.100296 − 0.738323I
b = 0.043178 + 0.238664I
0.20776 + 5.21289I 0
u = 0.247961 + 0.984296I
a = 0.427339 + 0.304533I
b = −0.92917 − 1.59666I
−5.36685 + 1.40168I 0
u = 0.247961 − 0.984296I
a = 0.427339 − 0.304533I
b = −0.92917 + 1.59666I
−5.36685 − 1.40168I 0
u = 0.607735 + 0.829546I
a = 0.833791 − 0.526187I
b = 0.958504 + 0.941504I
4.54450 + 4.21200I 0
u = 0.607735 − 0.829546I
a = 0.833791 + 0.526187I
b = 0.958504 − 0.941504I
4.54450 − 4.21200I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.254384 + 1.002620I
a = −0.955431 + 0.342921I
b = −2.39720 + 0.98938I
−4.70091 + 5.29807I 0
u = −0.254384 − 1.002620I
a = −0.955431 − 0.342921I
b = −2.39720 − 0.98938I
−4.70091 − 5.29807I 0
u = 0.734386 + 0.624295I
a = 0.629708 − 0.403716I
b = 0.816423 + 0.606510I
2.99338 − 2.81431I 0
u = 0.734386 − 0.624295I
a = 0.629708 + 0.403716I
b = 0.816423 − 0.606510I
2.99338 + 2.81431I 0
u = −0.959771 + 0.076014I
a = −0.026585 + 0.824774I
b = −0.305540 + 0.142882I
1.42740 + 0.99230I 0
u = −0.959771 − 0.076014I
a = −0.026585 − 0.824774I
b = −0.305540 − 0.142882I
1.42740 − 0.99230I 0
u = −0.090977 + 1.035350I
a = −0.015307 + 0.549490I
b = 0.0996459 + 0.0546940I
−2.71460 − 2.53227I 0
u = −0.090977 − 1.035350I
a = −0.015307 − 0.549490I
b = 0.0996459 − 0.0546940I
−2.71460 + 2.53227I 0
u = 0.912392 + 0.265374I
a = 0.761640 + 0.610432I
b = 0.827400 + 0.271618I
0.1094310 + 0.0814343I 0
u = 0.912392 − 0.265374I
a = 0.761640 − 0.610432I
b = 0.827400 − 0.271618I
0.1094310 − 0.0814343I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.008190 + 0.324057I
a = 0.096515 + 1.338910I
b = 1.014480 + 0.645678I
−4.6329 + 13.5216I 0
u = −1.008190 − 0.324057I
a = 0.096515 − 1.338910I
b = 1.014480 − 0.645678I
−4.6329 − 13.5216I 0
u = −0.388923 + 0.992978I
a = −1.227430 + 0.579476I
b = −1.240840 − 0.473315I
−8.57268 − 3.06760I 0
u = −0.388923 − 0.992978I
a = −1.227430 − 0.579476I
b = −1.240840 + 0.473315I
−8.57268 + 3.06760I 0
u = −0.260397 + 1.035270I
a = −0.357235 + 0.222552I
b = 1.26943 − 1.28560I
−4.82531 − 6.86098I 0
u = −0.260397 − 1.035270I
a = −0.357235 − 0.222552I
b = 1.26943 + 1.28560I
−4.82531 + 6.86098I 0
u = −0.914197 + 0.099427I
a = −0.635443 + 0.649586I
b = −0.789762 + 0.116454I
0.36402 − 4.17697I 0
u = −0.914197 − 0.099427I
a = −0.635443 − 0.649586I
b = −0.789762 − 0.116454I
0.36402 + 4.17697I 0
u = 0.282717 + 1.050840I
a = 0.944793 + 0.339562I
b = 2.03412 + 0.62469I
−5.61649 + 0.14710I 0
u = 0.282717 − 1.050840I
a = 0.944793 − 0.339562I
b = 2.03412 − 0.62469I
−5.61649 − 0.14710I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.242159 + 1.061980I
a = −0.269463 − 0.938054I
b = 1.307230 + 0.454495I
−5.18565 − 5.65837I 0
u = 0.242159 − 1.061980I
a = −0.269463 + 0.938054I
b = 1.307230 − 0.454495I
−5.18565 + 5.65837I 0
u = 0.474238 + 1.011850I
a = 0.41753 − 1.48728I
b = 1.75008 + 0.44425I
2.53809 + 3.01205I 0
u = 0.474238 − 1.011850I
a = 0.41753 + 1.48728I
b = 1.75008 − 0.44425I
2.53809 − 3.01205I 0
u = −0.329706 + 1.071850I
a = 0.112592 − 1.063290I
b = −1.357660 + 0.391816I
−6.29447 − 0.56914I 0
u = −0.329706 − 1.071850I
a = 0.112592 + 1.063290I
b = −1.357660 − 0.391816I
−6.29447 + 0.56914I 0
u = −0.385820 + 1.053260I
a = 1.26681 − 0.97027I
b = 0.047621 − 0.642950I
−8.17532 − 5.80912I 0
u = −0.385820 − 1.053260I
a = 1.26681 + 0.97027I
b = 0.047621 + 0.642950I
−8.17532 + 5.80912I 0
u = 0.356491 + 1.064110I
a = 1.166600 + 0.483489I
b = 1.265760 − 0.419036I
−8.44747 − 1.56376I 0
u = 0.356491 − 1.064110I
a = 1.166600 − 0.483489I
b = 1.265760 + 0.419036I
−8.44747 + 1.56376I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.568167 + 0.969370I
a = 0.218147 + 0.533361I
b = 1.015540 − 0.099725I
−0.05778 − 3.26039I 0
u = −0.568167 − 0.969370I
a = 0.218147 − 0.533361I
b = 1.015540 + 0.099725I
−0.05778 + 3.26039I 0
u = −0.456106 + 1.034010I
a = −0.040597 + 0.439420I
b = 0.756560 − 0.449506I
−0.79703 − 3.19669I 0
u = −0.456106 − 1.034010I
a = −0.040597 − 0.439420I
b = 0.756560 + 0.449506I
−0.79703 + 3.19669I 0
u = −0.516238 + 1.007620I
a = 1.211910 − 0.159033I
b = 1.81710 − 1.15826I
0.88815 − 5.53053I 0
u = −0.516238 − 1.007620I
a = 1.211910 + 0.159033I
b = 1.81710 + 1.15826I
0.88815 + 5.53053I 0
u = 0.659215 + 0.920458I
a = 0.102798 + 0.644833I
b = −0.266317 − 0.407081I
−0.99142 + 1.51047I 0
u = 0.659215 − 0.920458I
a = 0.102798 − 0.644833I
b = −0.266317 + 0.407081I
−0.99142 − 1.51047I 0
u = 0.247412 + 1.111640I
a = −1.040740 + 0.206539I
b = −1.72487 − 1.12685I
−5.33414 + 6.40217I 0
u = 0.247412 − 1.111640I
a = −1.040740 − 0.206539I
b = −1.72487 + 1.12685I
−5.33414 − 6.40217I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.742862 + 0.432244I
a = 0.28185 − 1.45500I
b = −0.620562 + 0.132574I
−0.34787 + 7.05510I 0
u = −0.742862 − 0.432244I
a = 0.28185 + 1.45500I
b = −0.620562 − 0.132574I
−0.34787 − 7.05510I 0
u = 0.293907 + 1.113300I
a = −1.27949 − 0.66882I
b = −0.340521 − 0.535868I
−10.87350 − 0.03168I 0
u = 0.293907 − 1.113300I
a = −1.27949 + 0.66882I
b = −0.340521 + 0.535868I
−10.87350 + 0.03168I 0
u = −0.272602 + 0.803115I
a = −1.62219 + 0.65036I
b = −1.177530 − 0.540515I
−7.68851 + 0.20702I 0
u = −0.272602 − 0.803115I
a = −1.62219 − 0.65036I
b = −1.177530 + 0.540515I
−7.68851 − 0.20702I 0
u = 0.749605 + 0.381728I
a = −1.146630 + 0.471610I
b = −1.46202 − 0.07922I
−0.74478 − 7.93333I 0
u = 0.749605 − 0.381728I
a = −1.146630 − 0.471610I
b = −1.46202 + 0.07922I
−0.74478 + 7.93333I 0
u = −0.537817 + 0.634902I
a = −0.776760 − 0.228723I
b = −0.593785 + 0.781102I
0.95955 − 1.21524I 0
u = −0.537817 − 0.634902I
a = −0.776760 + 0.228723I
b = −0.593785 − 0.781102I
0.95955 + 1.21524I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.535130 + 1.041350I
a = 0.927657 − 0.314214I
b = 0.91309 − 2.60935I
−7.45648 − 3.08397I 0
u = −0.535130 − 1.041350I
a = 0.927657 + 0.314214I
b = 0.91309 + 2.60935I
−7.45648 + 3.08397I 0
u = −0.505683 + 1.079170I
a = −1.287270 − 0.150971I
b = −1.28391 + 2.08622I
−7.30083 − 1.08481I 0
u = −0.505683 − 1.079170I
a = −1.287270 + 0.150971I
b = −1.28391 − 2.08622I
−7.30083 + 1.08481I 0
u = 0.666394 + 0.990905I
a = −0.344955 + 0.462389I
b = −1.153180 − 0.156168I
1.92086 + 8.13920I 0
u = 0.666394 − 0.990905I
a = −0.344955 − 0.462389I
b = −1.153180 + 0.156168I
1.92086 − 8.13920I 0
u = −0.070879 + 0.797486I
a = 2.01729 − 0.07230I
b = 1.049440 − 0.751920I
−6.50161 + 3.43532I 0
u = −0.070879 − 0.797486I
a = 2.01729 + 0.07230I
b = 1.049440 + 0.751920I
−6.50161 − 3.43532I 0
u = 0.525187 + 1.081700I
a = −0.933857 − 0.281649I
b = −1.32858 − 2.50886I
−7.25143 + 8.54744I 0
u = 0.525187 − 1.081700I
a = −0.933857 + 0.281649I
b = −1.32858 + 2.50886I
−7.25143 − 8.54744I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.712644 + 0.341756I
a = −0.21836 − 1.50311I
b = 0.643598 + 0.074479I
−1.52072 − 2.26923I 0
u = 0.712644 − 0.341756I
a = −0.21836 + 1.50311I
b = 0.643598 − 0.074479I
−1.52072 + 2.26923I 0
u = −0.525379 + 0.582184I
a = 0.54907 − 1.51299I
b = −0.579011 + 0.139100I
2.19894 + 1.26322I 0
u = −0.525379 − 0.582184I
a = 0.54907 + 1.51299I
b = −0.579011 − 0.139100I
2.19894 − 1.26322I 0
u = −0.859778 + 0.860733I
a = 0.658030 − 0.528426I
b = −0.107268 − 1.240420I
−2.78266 − 3.12885I 0
u = −0.859778 − 0.860733I
a = 0.658030 + 0.528426I
b = −0.107268 + 1.240420I
−2.78266 + 3.12885I 0
u = −0.527489 + 1.101300I
a = −0.419554 − 1.005090I
b = −1.45388 + 0.58996I
−4.90983 − 6.67020I 0
u = −0.527489 − 1.101300I
a = −0.419554 + 1.005090I
b = −1.45388 − 0.58996I
−4.90983 + 6.67020I 0
u = 0.471133 + 1.131210I
a = 0.880267 + 0.323207I
b = 1.132990 + 0.613143I
−3.88849 + 2.05586I 0
u = 0.471133 − 1.131210I
a = 0.880267 − 0.323207I
b = 1.132990 − 0.613143I
−3.88849 − 2.05586I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.579422 + 0.512153I
a = 1.00187 − 1.02881I
b = −1.34355 − 0.90802I
−5.86736 − 1.39887I 0
u = −0.579422 − 0.512153I
a = 1.00187 + 1.02881I
b = −1.34355 + 0.90802I
−5.86736 + 1.39887I 0
u = 0.053170 + 1.225770I
a = 1.137180 − 0.055777I
b = 0.817211 − 0.231044I
−6.15003 + 2.90162I 0
u = 0.053170 − 1.225770I
a = 1.137180 + 0.055777I
b = 0.817211 + 0.231044I
−6.15003 − 2.90162I 0
u = 0.701424 + 0.307478I
a = 0.06651 + 1.81202I
b = −1.18853 + 0.89936I
−6.82429 − 2.85653I 0
u = 0.701424 − 0.307478I
a = 0.06651 − 1.81202I
b = −1.18853 − 0.89936I
−6.82429 + 2.85653I 0
u = 0.549154 + 1.108240I
a = −1.048510 − 0.197845I
b = −1.90432 − 1.36379I
−3.75841 + 7.08824I 0
u = 0.549154 − 1.108240I
a = −1.048510 + 0.197845I
b = −1.90432 + 1.36379I
−3.75841 − 7.08824I 0
u = −0.582775 + 1.091230I
a = 1.077360 − 0.243486I
b = 1.99437 − 1.26316I
−2.30958 − 12.09970I 0
u = −0.582775 − 1.091230I
a = 1.077360 + 0.243486I
b = 1.99437 + 1.26316I
−2.30958 + 12.09970I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.430894 + 0.626919I
a = −1.37526 + 1.12401I
b = −1.79430 − 0.33683I
3.82074 + 0.82584I 0. + 12.01862I
u = 0.430894 − 0.626919I
a = −1.37526 − 1.12401I
b = −1.79430 + 0.33683I
3.82074 − 0.82584I 0. − 12.01862I
u = 0.544274 + 1.118720I
a = 1.258340 − 0.038176I
b = 1.35788 + 2.04204I
−9.17036 + 7.63502I 0
u = 0.544274 − 1.118720I
a = 1.258340 + 0.038176I
b = 1.35788 − 2.04204I
−9.17036 − 7.63502I 0
u = 0.573792 + 1.109700I
a = 0.471409 − 0.912880I
b = 1.40115 + 0.63013I
−2.89817 + 12.95310I 0
u = 0.573792 − 1.109700I
a = 0.471409 + 0.912880I
b = 1.40115 − 0.63013I
−2.89817 − 12.95310I 0
u = −0.529490 + 1.149960I
a = −0.037521 + 0.588448I
b = 0.365654 − 0.315473I
−2.64992 − 0.78801I 0
u = −0.529490 − 1.149960I
a = −0.037521 − 0.588448I
b = 0.365654 + 0.315473I
−2.64992 + 0.78801I 0
u = 1.087160 + 0.649434I
a = −0.444462 − 0.644595I
b = 0.231242 − 0.767105I
0.962404 − 0.036766I 0
u = 1.087160 − 0.649434I
a = −0.444462 + 0.644595I
b = 0.231242 + 0.767105I
0.962404 + 0.036766I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.525759 + 1.164970I
a = −0.936976 − 0.122219I
b = −1.55915 − 1.42824I
−3.54285 + 6.48216I 0
u = 0.525759 − 1.164970I
a = −0.936976 + 0.122219I
b = −1.55915 + 1.42824I
−3.54285 − 6.48216I 0
u = 0.605869 + 1.134030I
a = 0.044865 + 0.603584I
b = −0.352910 − 0.346382I
−2.37094 + 5.39078I 0
u = 0.605869 − 1.134030I
a = 0.044865 − 0.603584I
b = −0.352910 + 0.346382I
−2.37094 − 5.39078I 0
u = −0.641450 + 0.306632I
a = 1.34181 + 0.49511I
b = 1.43513 − 0.09491I
−2.65046 + 2.10274I 0.40325 − 1.49584I
u = −0.641450 − 0.306632I
a = 1.34181 − 0.49511I
b = 1.43513 + 0.09491I
−2.65046 − 2.10274I 0.40325 + 1.49584I
u = 0.689595 + 0.143585I
a = 0.108239 − 1.368740I
b = 0.554669 − 0.104054I
−0.65665 − 1.83643I −0.11295 + 4.32768I
u = 0.689595 − 0.143585I
a = 0.108239 + 1.368740I
b = 0.554669 + 0.104054I
−0.65665 + 1.83643I −0.11295 − 4.32768I
u = −0.633703 + 1.130960I
a = −1.231030 + 0.134183I
b = −1.32148 + 1.85019I
−2.05043 − 10.81250I 0
u = −0.633703 − 1.130960I
a = −1.231030 − 0.134183I
b = −1.32148 − 1.85019I
−2.05043 + 10.81250I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.368550 + 0.597343I
a = 0.297253 + 0.844568I
b = 0.291132 − 0.649255I
−1.67598 + 1.25675I −3.07060 + 0.96449I
u = 0.368550 − 0.597343I
a = 0.297253 − 0.844568I
b = 0.291132 + 0.649255I
−1.67598 − 1.25675I −3.07060 − 0.96449I
u = −0.646623 + 0.225320I
a = −0.335863 − 0.412182I
b = −0.570590 + 0.265645I
1.43737 − 0.62625I 7.15445 + 1.17891I
u = −0.646623 − 0.225320I
a = −0.335863 + 0.412182I
b = −0.570590 − 0.265645I
1.43737 + 0.62625I 7.15445 − 1.17891I
u = 0.566560 + 0.366560I
a = −0.95301 − 1.40831I
b = 1.35305 − 0.44417I
−5.20625 − 4.11116I −2.47779 + 3.46089I
u = 0.566560 − 0.366560I
a = −0.95301 + 1.40831I
b = 1.35305 + 0.44417I
−5.20625 + 4.11116I −2.47779 − 3.46089I
u = −0.608177 + 1.180210I
a = −0.820478 + 0.346515I
b = −0.878124 + 0.653536I
−1.63073 − 6.57855I 0
u = −0.608177 − 1.180210I
a = −0.820478 − 0.346515I
b = −0.878124 − 0.653536I
−1.63073 + 6.57855I 0
u = −0.136962 + 0.647085I
a = −1.35124 − 0.63819I
b = 0.183116 + 0.844149I
0.82873 − 2.36583I −3.98095 + 10.11766I
u = −0.136962 − 0.647085I
a = −1.35124 + 0.63819I
b = 0.183116 − 0.844149I
0.82873 + 2.36583I −3.98095 − 10.11766I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.619893 + 1.198320I
a = 1.138640 + 0.082672I
b = 1.49587 + 1.83204I
−9.2508 + 13.3537I 0
u = 0.619893 − 1.198320I
a = 1.138640 − 0.082672I
b = 1.49587 − 1.83204I
−9.2508 − 13.3537I 0
u = −0.532624 + 0.349343I
a = −0.41146 + 2.02083I
b = 1.28393 + 1.02038I
−5.21882 − 3.18851I −2.07626 + 2.93447I
u = −0.532624 − 0.349343I
a = −0.41146 − 2.02083I
b = 1.28393 − 1.02038I
−5.21882 + 3.18851I −2.07626 − 2.93447I
u = 0.196299 + 1.355000I
a = −0.965259 − 0.378087I
b = −0.503409 − 0.176438I
−12.27760 − 3.77919I 0
u = 0.196299 − 1.355000I
a = −0.965259 + 0.378087I
b = −0.503409 + 0.176438I
−12.27760 + 3.77919I 0
u = −0.640733 + 1.213440I
a = −1.114010 + 0.100736I
b = −1.51924 + 1.77093I
−7.3734 − 19.4535I 0
u = −0.640733 − 1.213440I
a = −1.114010 − 0.100736I
b = −1.51924 − 1.77093I
−7.3734 + 19.4535I 0
u = −0.67898 + 1.25201I
a = 0.711820 − 0.144794I
b = 1.00800 − 1.17812I
−2.19931 − 4.86152I 0
u = −0.67898 − 1.25201I
a = 0.711820 + 0.144794I
b = 1.00800 + 1.17812I
−2.19931 + 4.86152I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.50181 + 1.34156I
a = −0.798398 + 0.031484I
b = −1.41214 − 1.05940I
−4.66830 + 4.99985I 0
u = 0.50181 − 1.34156I
a = −0.798398 − 0.031484I
b = −1.41214 + 1.05940I
−4.66830 − 4.99985I 0
u = −0.17091 + 1.42362I
a = 0.896537 − 0.330036I
b = 0.526780 − 0.111552I
−10.7752 + 9.3897I 0
u = −0.17091 − 1.42362I
a = 0.896537 + 0.330036I
b = 0.526780 + 0.111552I
−10.7752 − 9.3897I 0
u = 1.00653 + 1.04164I
a = −0.541332 − 0.403540I
b = −0.214952 − 0.974903I
−0.16056 + 7.37874I 0
u = 1.00653 − 1.04164I
a = −0.541332 + 0.403540I
b = −0.214952 + 0.974903I
−0.16056 − 7.37874I 0
u = −0.56499 + 1.36503I
a = 0.744900 + 0.011895I
b = 1.32344 − 1.01579I
−4.06489 − 9.60665I 0
u = −0.56499 − 1.36503I
a = 0.744900 − 0.011895I
b = 1.32344 + 1.01579I
−4.06489 + 9.60665I 0
19
II.
I
u
2
= h−3.15 × 10
6
u
35
+ 3.88 × 10
6
u
34
+ · · · + 1.72 × 10
6
b + 7.52 × 10
6
, 1.03 ×
10
7
u
35
− 1.53 × 10
7
u
34
+ · · · + 1.72 × 10
6
a − 6.02 × 10
6
, u
36
− u
35
+ · · · + u + 1i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
9
=
−5.95498u
35
+ 8.89118u
34
+ ··· − 8.77859u + 3.48861
1.82455u
35
− 2.24819u
34
+ ··· + 4.41970u − 4.35984
a
5
=
4.59957u
35
− 13.3028u
34
+ ··· − 6.31804u − 3.67989
−0.0628435u
35
− 14.4329u
34
+ ··· − 20.8746u − 10.4327
a
10
=
−3.59479u
35
+ 2.95483u
34
+ ··· − 5.76110u − 11.1871
2.08786u
35
− 4.81507u
34
+ ··· + 2.65315u − 7.45944
a
4
=
2.81251u
35
− 2.58409u
34
+ ··· + 8.16268u + 8.68835
0.793840u
35
− 11.0376u
34
+ ··· − 13.5385u − 6.99606
a
8
=
−5.95498u
35
+ 8.89118u
34
+ ··· − 7.77859u + 3.48861
1.82455u
35
− 1.24819u
34
+ ··· + 5.41970u − 3.35984
a
12
=
5.64016u
35
− 6.46472u
34
+ ··· − 4.62799u − 5.77954
4.69556u
35
− 1.36263u
34
+ ··· + 13.2129u + 5.15749
a
11
=
−1.42158u
35
− 8.55899u
34
+ ··· + 0.265641u − 9.55947
4.87101u
35
− 8.11443u
34
+ ··· + 3.79319u + 1.51733
(ii) Obstruction class = 1
(iii) Cusp Shapes =
41645239
1724315
u
35
−
9673393
344863
u
34
+ ··· −
8262428
1724315
u +
4618806
1724315
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
36
− 19u
35
+ ··· − 25u + 1
c
2
u
36
− u
35
+ ··· + u + 1
c
3
u
36
+ 2u
35
+ ··· + 4u + 1
c
4
u
36
− 2u
35
+ ··· − 6u + 1
c
5
u
36
− u
35
+ ··· + 16u
2
+ 1
c
6
u
36
+ u
35
+ ··· − u + 1
c
7
u
36
− 13u
35
+ ··· − 13u + 1
c
8
u
36
+ 2u
35
+ ··· − 14u
2
+ 1
c
9
u
36
+ u
35
+ ··· + 16u
2
+ 1
c
10
u
36
+ 22u
35
+ ··· + 18u + 1
c
11
u
36
− 2u
35
+ ··· − 4u + 1
c
12
u
36
− 2u
35
+ ··· − 14u
2
+ 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
36
+ 11y
35
+ ··· − 39y + 1
c
2
, c
6
y
36
+ 19y
35
+ ··· + 25y + 1
c
3
, c
11
y
36
− 22y
35
+ ··· − 18y + 1
c
4
y
36
+ 2y
35
+ ··· + 22y + 1
c
5
, c
9
y
36
+ 23y
35
+ ··· + 32y + 1
c
7
y
36
− 7y
35
+ ··· − 39y + 1
c
8
, c
12
y
36
− 38y
35
+ ··· − 28y + 1
c
10
y
36
+ 2y
35
+ ··· + 18y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.267872 + 0.969144I
a = 1.310560 + 0.515277I
b = 0.572693 − 0.762159I
−8.47394 + 0.10484I −8.00709 − 2.28501I
u = 0.267872 − 0.969144I
a = 1.310560 − 0.515277I
b = 0.572693 + 0.762159I
−8.47394 − 0.10484I −8.00709 + 2.28501I
u = −0.311977 + 0.985891I
a = −1.24006 + 0.71430I
b = 0.018867 − 0.189152I
−7.24972 − 4.96839I −2.65619 + 5.58522I
u = −0.311977 − 0.985891I
a = −1.24006 − 0.71430I
b = 0.018867 + 0.189152I
−7.24972 + 4.96839I −2.65619 − 5.58522I
u = 0.247865 + 0.919721I
a = 1.46665 + 0.36943I
b = 1.73750 − 0.36260I
−8.26240 + 2.01908I −5.39837 − 1.34689I
u = 0.247865 − 0.919721I
a = 1.46665 − 0.36943I
b = 1.73750 + 0.36260I
−8.26240 − 2.01908I −5.39837 + 1.34689I
u = −0.270192 + 0.878505I
a = −1.66766 + 0.32956I
b = −1.73400 + 0.56304I
−6.79500 + 2.56150I −3.78795 + 0.91855I
u = −0.270192 − 0.878505I
a = −1.66766 − 0.32956I
b = −1.73400 − 0.56304I
−6.79500 − 2.56150I −3.78795 − 0.91855I
u = 0.483341 + 0.983469I
a = −0.446777 + 1.325560I
b = −1.51684 − 0.59207I
2.84973 + 2.80112I 7.55184 + 1.71261I
u = 0.483341 − 0.983469I
a = −0.446777 − 1.325560I
b = −1.51684 + 0.59207I
2.84973 − 2.80112I 7.55184 − 1.71261I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.648072 + 0.912270I
a = −0.282904 + 0.248794I
b = −0.211511 − 0.255401I
−1.38069 − 2.44610I −0.27055 + 2.92110I
u = −0.648072 − 0.912270I
a = −0.282904 − 0.248794I
b = −0.211511 + 0.255401I
−1.38069 + 2.44610I −0.27055 − 2.92110I
u = −0.846010 + 0.032787I
a = −0.417181 − 1.119950I
b = −0.482815 − 0.467073I
1.05511 + 2.50002I 4.90460 − 3.96828I
u = −0.846010 − 0.032787I
a = −0.417181 + 1.119950I
b = −0.482815 + 0.467073I
1.05511 − 2.50002I 4.90460 + 3.96828I
u = 0.468457 + 0.696657I
a = 1.07826 − 1.06153I
b = 1.74977 + 0.07775I
3.82341 + 1.13526I 0.69227 − 13.44028I
u = 0.468457 − 0.696657I
a = 1.07826 + 1.06153I
b = 1.74977 − 0.07775I
3.82341 − 1.13526I 0.69227 + 13.44028I
u = −0.574405 + 1.017030I
a = −0.217450 + 0.444606I
b = 0.199350 − 0.274988I
−1.43817 − 2.50681I −0.96440 + 2.41655I
u = −0.574405 − 1.017030I
a = −0.217450 − 0.444606I
b = 0.199350 + 0.274988I
−1.43817 + 2.50681I −0.96440 − 2.41655I
u = −0.431085 + 1.088440I
a = 0.787248 + 0.108685I
b = 1.38856 − 1.96753I
−5.49826 − 2.89325I −3.34806 + 4.01768I
u = −0.431085 − 1.088440I
a = 0.787248 − 0.108685I
b = 1.38856 + 1.96753I
−5.49826 + 2.89325I −3.34806 − 4.01768I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.059560 + 0.515855I
a = 0.463742 + 0.525646I
b = 0.362385 + 0.278926I
1.85907 + 0.26551I 10.23111 − 3.19118I
u = 1.059560 − 0.515855I
a = 0.463742 − 0.525646I
b = 0.362385 − 0.278926I
1.85907 − 0.26551I 10.23111 + 3.19118I
u = −0.321307 + 0.706504I
a = 0.468453 − 0.763994I
b = −1.97938 − 0.52466I
−3.97544 − 0.27399I 0.72270 + 1.34695I
u = −0.321307 − 0.706504I
a = 0.468453 + 0.763994I
b = −1.97938 + 0.52466I
−3.97544 + 0.27399I 0.72270 − 1.34695I
u = 0.420145 + 1.159460I
a = −0.804920 + 0.027986I
b = −1.77304 − 1.74365I
−5.41877 + 8.35501I −3.84738 − 9.47959I
u = 0.420145 − 1.159460I
a = −0.804920 − 0.027986I
b = −1.77304 + 1.74365I
−5.41877 − 8.35501I −3.84738 + 9.47959I
u = 0.243059 + 0.668327I
a = −0.750616 − 0.845989I
b = 2.21273 + 0.08566I
−3.35944 − 5.51600I 2.83988 + 4.70708I
u = 0.243059 − 0.668327I
a = −0.750616 + 0.845989I
b = 2.21273 − 0.08566I
−3.35944 + 5.51600I 2.83988 − 4.70708I
u = 0.916085 + 1.011850I
a = 0.384105 + 0.345387I
b = 0.182528 + 0.118997I
0.51910 + 6.78058I 0. − 5.65370I
u = 0.916085 − 1.011850I
a = 0.384105 − 0.345387I
b = 0.182528 − 0.118997I
0.51910 − 6.78058I 0. + 5.65370I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.649456 + 1.213320I
a = 0.896490 − 0.212391I
b = 1.07185 − 1.25529I
−2.21938 − 8.11542I 0. + 8.67111I
u = −0.649456 − 1.213320I
a = 0.896490 + 0.212391I
b = 1.07185 + 1.25529I
−2.21938 + 8.11542I 0. − 8.67111I
u = 0.536844 + 1.287200I
a = −0.806837 − 0.102877I
b = −1.42362 − 1.08127I
−3.22237 + 5.19860I 0
u = 0.536844 − 1.287200I
a = −0.806837 + 0.102877I
b = −1.42362 + 1.08127I
−3.22237 − 5.19860I 0
u = −0.090728 + 0.429131I
a = −2.22110 − 0.68573I
b = 0.124980 + 0.981872I
1.12900 − 1.96865I 5.96224 − 1.18713I
u = −0.090728 − 0.429131I
a = −2.22110 + 0.68573I
b = 0.124980 − 0.981872I
1.12900 + 1.96865I 5.96224 + 1.18713I
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
36
− 19u
35
+ ··· − 25u + 1)
· (u
148
+ 72u
147
+ ··· + 11695261u + 491401)
c
2
(u
36
− u
35
+ ··· + u + 1)(u
148
− 2u
147
+ ··· − 2531u + 701)
c
3
(u
36
+ 2u
35
+ ··· + 4u + 1)(u
148
− 3u
147
+ ··· + 448u + 79)
c
4
(u
36
− 2u
35
+ ··· − 6u + 1)(u
148
− 11u
147
+ ··· − 304766u + 12641)
c
5
(u
36
− u
35
+ ··· + 16u
2
+ 1)(u
148
− 2u
147
+ ··· + 323478u + 28447)
c
6
(u
36
+ u
35
+ ··· − u + 1)(u
148
− 2u
147
+ ··· − 2531u + 701)
c
7
(u
36
− 13u
35
+ ··· − 13u + 1)
· (u
148
− 6u
147
+ ··· − 95114195u + 15948193)
c
8
(u
36
+ 2u
35
+ ··· − 14u
2
+ 1)(u
148
+ 3u
147
+ ··· − 4435300u + 230749)
c
9
(u
36
+ u
35
+ ··· + 16u
2
+ 1)(u
148
− 2u
147
+ ··· + 323478u + 28447)
c
10
(u
36
+ 22u
35
+ ··· + 18u + 1)(u
148
− 65u
147
+ ··· − 211290u + 6241)
c
11
(u
36
− 2u
35
+ ··· − 4u + 1)(u
148
− 3u
147
+ ··· + 448u + 79)
c
12
(u
36
− 2u
35
+ ··· − 14u
2
+ 1)(u
148
+ 3u
147
+ ··· − 4435300u + 230749)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
36
+ 11y
35
+ ··· − 39y + 1)
· (y
148
+ 24y
147
+ ··· + 6272879625617y + 241474942801)
c
2
, c
6
(y
36
+ 19y
35
+ ··· + 25y + 1)
· (y
148
+ 72y
147
+ ··· + 11695261y + 491401)
c
3
, c
11
(y
36
− 22y
35
+ ··· − 18y + 1)(y
148
− 65y
147
+ ··· − 211290y + 6241)
c
4
(y
36
+ 2y
35
+ ··· + 22y + 1)
· (y
148
− 21y
147
+ ··· + 6938479434y + 159794881)
c
5
, c
9
(y
36
+ 23y
35
+ ··· + 32y + 1)
· (y
148
+ 100y
147
+ ··· + 19545541408y + 809231809)
c
7
(y
36
− 7y
35
+ ··· − 39y + 1)
· (y
148
− 54y
147
+ ··· − 12238567626382887y + 254344859965249)
c
8
, c
12
(y
36
− 38y
35
+ ··· − 28y + 1)
· (y
148
− 121y
147
+ ··· − 6894134371112y + 53245101001)
c
10
(y
36
+ 2y
35
+ ··· + 18y + 1)
· (y
148
+ 55y
147
+ ··· + 170947586y + 38950081)
30
