12a
0452
(K12a
0452
)
A knot diagram
1
Linearized knot diagam
3 6 10 11 2 12 5 4 1 8 7 9
Solving Sequence
5,11 4,8
9 7 12 1 6 10 3 2
c
4
c
8
c
7
c
11
c
12
c
6
c
10
c
3
c
2
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.77444 × 10
1381
u
163
+ 2.56374 × 10
1381
u
162
+ ··· + 7.33297 × 10
1381
b + 1.54120 × 10
1386
,
1.90440 × 10
1385
u
163
+ 2.76814 × 10
1385
u
162
+ ··· + 1.42491 × 10
1386
a + 1.59696 × 10
1390
,
u
164
u
163
+ ··· 199323u 38863i
I
u
2
= h−1.19980 × 10
32
u
31
+ 5.25243 × 10
31
u
30
+ ··· + 7.22842 × 10
32
b + 1.39595 × 10
32
,
1.57050 × 10
33
u
31
+ 7.88830 × 10
31
u
30
+ ··· + 7.22842 × 10
32
a + 5.28812 × 10
32
, u
32
5u
30
+ ··· + u
2
1i
I
u
3
= hu
2
b + b
2
+ u
2
+ 2u + 1, a, u
3
+ u
2
1i
* 3 irreducible components of dim
C
= 0, with total 202 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−1.77 × 10
1381
u
163
+ 2.56 × 10
1381
u
162
+ · · · + 7.33 × 10
1381
b +
1.54 × 10
1386
, 1.90 × 10
1385
u
163
+ 2.77 × 10
1385
u
162
+ · · · + 1.42 ×
10
1386
a + 1.60 × 10
1390
, u
164
u
163
+ · · · 199323u 38863i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
8
=
0.133651u
163
0.194268u
162
+ ··· 33659.0u 11207.4
0.241981u
163
0.349618u
162
+ ··· 60880.2u 21017.3
a
9
=
0.402858u
163
0.583065u
162
+ ··· 101428.u 34580.5
0.189046u
163
0.273549u
162
+ ··· 47505.5u 16369.7
a
7
=
0.375632u
163
0.543886u
162
+ ··· 94539.2u 32224.8
0.241981u
163
0.349618u
162
+ ··· 60880.2u 21017.3
a
12
=
0.131044u
163
0.190226u
162
+ ··· 33416.6u 10966.2
0.207185u
163
0.297226u
162
+ ··· 52382.2u 18227.1
a
1
=
0.299579u
163
+ 0.431809u
162
+ ··· + 75109.5u + 26149.8
0.0509614u
163
+ 0.0745900u
162
+ ··· + 12741.1u + 4334.21
a
6
=
0.156762u
163
+ 0.236762u
162
+ ··· + 38456.7u + 11350.5
0.0334928u
163
+ 0.0511943u
162
+ ··· + 8094.09u + 2542.35
a
10
=
0.0723496u
163
+ 0.101726u
162
+ ··· + 17937.6u + 6889.42
0.00379087u
163
+ 0.00527361u
162
+ ··· + 1030.07u + 371.507
a
3
=
0.111960u
163
+ 0.152313u
162
+ ··· + 27730.2u + 12432.7
0.00755907u
163
+ 0.00896551u
162
+ ··· + 2282.12u + 958.156
a
2
=
0.264682u
163
0.380139u
162
+ ··· 67329.1u 23429.3
0.00515168u
163
+ 0.00983070u
162
+ ··· + 996.726u + 70.0665
(ii) Obstruction class = 1
(iii) Cusp Shapes = 1.64850u
163
2.38398u
162
+ ··· 416894.u 142792.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
164
+ 67u
163
+ ··· + 5522661u + 35721
c
2
, c
5
u
164
+ 5u
163
+ ··· + 2781u + 189
c
3
u
164
+ 3u
163
+ ··· + 905948789u 782977201
c
4
u
164
+ u
163
+ ··· + 199323u 38863
c
6
, c
11
u
164
+ 5u
163
+ ··· 10894215u 899893
c
7
u
164
8u
163
+ ··· + 35u 1
c
8
u
164
4u
163
+ ··· + 38135u + 12557
c
9
, c
12
u
164
+ 3u
163
+ ··· 391027u 16729
c
10
u
164
3u
163
+ ··· 6336u + 448
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
164
+ 65y
163
+ ··· 24187621914549y + 1275989841
c
2
, c
5
y
164
67y
163
+ ··· 5522661y + 35721
c
3
y
164
29y
163
+ ··· 3.35 × 10
19
y + 6.13 × 10
17
c
4
y
164
39y
163
+ ··· 100873049407y + 1510332769
c
6
, c
11
y
164
+ 87y
163
+ ··· 44025753748099y + 809807411449
c
7
y
164
20y
163
+ ··· 31y + 1
c
8
y
164
+ 4y
163
+ ··· 1788168855y + 157678249
c
9
, c
12
y
164
93y
163
+ ··· 86202822195y + 279859441
c
10
y
164
5y
163
+ ··· + 13514752y + 200704
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.680466 + 0.730949I
a = 1.038340 + 0.087412I
b = 0.375347 0.278447I
0.00155 2.01871I 0
u = 0.680466 0.730949I
a = 1.038340 0.087412I
b = 0.375347 + 0.278447I
0.00155 + 2.01871I 0
u = 0.927280 + 0.387187I
a = 0.601355 + 0.229591I
b = 0.836521 + 0.938576I
1.78213 2.95331I 0
u = 0.927280 0.387187I
a = 0.601355 0.229591I
b = 0.836521 0.938576I
1.78213 + 2.95331I 0
u = 0.843599 + 0.517527I
a = 1.387700 + 0.216491I
b = 0.982676 0.446845I
3.09467 + 3.85973I 0
u = 0.843599 0.517527I
a = 1.387700 0.216491I
b = 0.982676 + 0.446845I
3.09467 3.85973I 0
u = 0.851750 + 0.485246I
a = 0.509555 0.020321I
b = 1.17275 + 1.03663I
4.78088 0.83728I 0
u = 0.851750 0.485246I
a = 0.509555 + 0.020321I
b = 1.17275 1.03663I
4.78088 + 0.83728I 0
u = 0.299506 + 1.009890I
a = 0.733451 0.344211I
b = 0.156881 + 0.519142I
1.22207 1.56871I 0
u = 0.299506 1.009890I
a = 0.733451 + 0.344211I
b = 0.156881 0.519142I
1.22207 + 1.56871I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.545812 + 0.920218I
a = 0.596485 + 0.246527I
b = 1.41923 1.18093I
2.79343 10.68100I 0
u = 0.545812 0.920218I
a = 0.596485 0.246527I
b = 1.41923 + 1.18093I
2.79343 + 10.68100I 0
u = 0.774452 + 0.740437I
a = 1.031990 + 0.114079I
b = 1.55469 + 0.14991I
1.74329 8.48712I 0
u = 0.774452 0.740437I
a = 1.031990 0.114079I
b = 1.55469 0.14991I
1.74329 + 8.48712I 0
u = 0.743875 + 0.773402I
a = 0.505902 0.339116I
b = 0.298426 + 1.096570I
2.57813 2.81733I 0
u = 0.743875 0.773402I
a = 0.505902 + 0.339116I
b = 0.298426 1.096570I
2.57813 + 2.81733I 0
u = 0.853525 + 0.355800I
a = 0.523747 + 1.227710I
b = 0.779577 + 0.425320I
6.23476 + 5.13208I 0
u = 0.853525 0.355800I
a = 0.523747 1.227710I
b = 0.779577 0.425320I
6.23476 5.13208I 0
u = 0.875599 + 0.271069I
a = 1.38289 + 1.04344I
b = 1.124580 + 0.517580I
0.33289 5.96595I 0
u = 0.875599 0.271069I
a = 1.38289 1.04344I
b = 1.124580 0.517580I
0.33289 + 5.96595I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.874528 + 0.252780I
a = 0.563408 + 0.009092I
b = 0.517700 + 1.243300I
2.00026 4.44909I 0
u = 0.874528 0.252780I
a = 0.563408 0.009092I
b = 0.517700 1.243300I
2.00026 + 4.44909I 0
u = 0.846044 + 0.309569I
a = 0.044037 0.250058I
b = 0.31737 + 1.80080I
2.89263 1.61904I 0
u = 0.846044 0.309569I
a = 0.044037 + 0.250058I
b = 0.31737 1.80080I
2.89263 + 1.61904I 0
u = 0.693945 + 0.558606I
a = 0.85689 + 1.26010I
b = 0.626254 + 0.087986I
2.64856 + 0.63147I 0
u = 0.693945 0.558606I
a = 0.85689 1.26010I
b = 0.626254 0.087986I
2.64856 0.63147I 0
u = 0.867258 + 0.188145I
a = 0.98669 1.35007I
b = 0.988365 0.156922I
7.27121 + 0.84000I 0
u = 0.867258 0.188145I
a = 0.98669 + 1.35007I
b = 0.988365 + 0.156922I
7.27121 0.84000I 0
u = 0.846508 + 0.265557I
a = 1.45793 + 1.33875I
b = 1.138390 + 0.406086I
0.99704 + 11.80640I 0
u = 0.846508 0.265557I
a = 1.45793 1.33875I
b = 1.138390 0.406086I
0.99704 11.80640I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.698209 + 0.871774I
a = 0.372443 0.378178I
b = 0.028536 + 1.048580I
2.33040 2.22642I 0
u = 0.698209 0.871774I
a = 0.372443 + 0.378178I
b = 0.028536 1.048580I
2.33040 + 2.22642I 0
u = 0.818604 + 0.329022I
a = 0.282166 0.249552I
b = 0.75275 + 1.81617I
3.76321 + 5.76423I 0
u = 0.818604 0.329022I
a = 0.282166 + 0.249552I
b = 0.75275 1.81617I
3.76321 5.76423I 0
u = 0.802770 + 0.793673I
a = 0.814488 + 0.547392I
b = 0.158402 + 0.074439I
2.63474 1.83561I 0
u = 0.802770 0.793673I
a = 0.814488 0.547392I
b = 0.158402 0.074439I
2.63474 + 1.83561I 0
u = 0.656043 + 0.566699I
a = 1.79126 0.68503I
b = 0.582715 + 0.987299I
5.88468 3.09996I 0
u = 0.656043 0.566699I
a = 1.79126 + 0.68503I
b = 0.582715 0.987299I
5.88468 + 3.09996I 0
u = 0.865508
a = 0.998864
b = 0.360743
1.96171 0
u = 0.835896 + 0.779708I
a = 1.134000 + 0.039294I
b = 1.62721 + 0.56445I
2.89514 + 4.46818I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.835896 0.779708I
a = 1.134000 0.039294I
b = 1.62721 0.56445I
2.89514 4.46818I 0
u = 0.592169 + 0.618906I
a = 1.00822 + 1.45400I
b = 0.647819 + 0.273580I
1.82269 + 3.88071I 0
u = 0.592169 0.618906I
a = 1.00822 1.45400I
b = 0.647819 0.273580I
1.82269 3.88071I 0
u = 0.822787 + 0.186849I
a = 0.989797 + 0.216146I
b = 0.855341 + 0.843210I
1.97814 0.47061I 0
u = 0.822787 0.186849I
a = 0.989797 0.216146I
b = 0.855341 0.843210I
1.97814 + 0.47061I 0
u = 0.257378 + 0.790500I
a = 1.039660 + 0.344122I
b = 0.517493 1.118250I
7.67892 0.09577I 0
u = 0.257378 0.790500I
a = 1.039660 0.344122I
b = 0.517493 + 1.118250I
7.67892 + 0.09577I 0
u = 0.907691 + 0.737628I
a = 1.223800 + 0.443783I
b = 0.497324 0.885819I
2.12353 2.79649I 0
u = 0.907691 0.737628I
a = 1.223800 0.443783I
b = 0.497324 + 0.885819I
2.12353 + 2.79649I 0
u = 0.664275 + 0.483548I
a = 1.96988 0.76374I
b = 0.774716 + 0.908547I
6.18139 2.62276I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.664275 0.483548I
a = 1.96988 + 0.76374I
b = 0.774716 0.908547I
6.18139 + 2.62276I 0
u = 0.939376 + 0.727530I
a = 0.122764 + 0.961920I
b = 0.468747 0.434483I
3.83500 1.56652I 0
u = 0.939376 0.727530I
a = 0.122764 0.961920I
b = 0.468747 + 0.434483I
3.83500 + 1.56652I 0
u = 0.883077 + 0.803222I
a = 1.156990 0.114025I
b = 1.51485 + 1.07417I
4.00763 + 7.44935I 0
u = 0.883077 0.803222I
a = 1.156990 + 0.114025I
b = 1.51485 1.07417I
4.00763 7.44935I 0
u = 0.953787 + 0.727406I
a = 1.293840 + 0.413643I
b = 0.640840 0.982440I
1.51782 + 8.04547I 0
u = 0.953787 0.727406I
a = 1.293840 0.413643I
b = 0.640840 + 0.982440I
1.51782 8.04547I 0
u = 0.761351 + 0.234087I
a = 1.65530 1.56070I
b = 1.326950 0.062869I
4.39098 4.83003I 0
u = 0.761351 0.234087I
a = 1.65530 + 1.56070I
b = 1.326950 + 0.062869I
4.39098 + 4.83003I 0
u = 0.303472 + 0.730608I
a = 0.944158 + 0.091808I
b = 0.095955 + 0.568295I
1.30056 0.86249I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.303472 0.730608I
a = 0.944158 0.091808I
b = 0.095955 0.568295I
1.30056 + 0.86249I 0
u = 0.894889 + 0.812960I
a = 1.090370 0.156839I
b = 1.32567 + 1.17013I
3.88431 2.58081I 0
u = 0.894889 0.812960I
a = 1.090370 + 0.156839I
b = 1.32567 1.17013I
3.88431 + 2.58081I 0
u = 0.724161 + 0.283539I
a = 1.61444 0.52551I
b = 2.04433 0.51453I
3.36554 + 1.98527I 0
u = 0.724161 0.283539I
a = 1.61444 + 0.52551I
b = 2.04433 + 0.51453I
3.36554 1.98527I 0
u = 0.744608 + 0.212748I
a = 1.79424 1.20517I
b = 1.47956 0.15655I
3.45898 + 0.01298I 0
u = 0.744608 0.212748I
a = 1.79424 + 1.20517I
b = 1.47956 + 0.15655I
3.45898 0.01298I 0
u = 0.938831 + 0.788723I
a = 0.381007 + 0.844548I
b = 0.332972 0.547804I
3.77456 3.46134I 0
u = 0.938831 0.788723I
a = 0.381007 0.844548I
b = 0.332972 + 0.547804I
3.77456 + 3.46134I 0
u = 0.721359 + 0.991652I
a = 0.910790 0.090767I
b = 0.751303 + 0.186959I
4.33020 + 4.68324I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.721359 0.991652I
a = 0.910790 + 0.090767I
b = 0.751303 0.186959I
4.33020 4.68324I 0
u = 0.585247 + 1.079620I
a = 0.496503 + 0.241830I
b = 1.17138 0.98304I
4.75759 + 4.36318I 0
u = 0.585247 1.079620I
a = 0.496503 0.241830I
b = 1.17138 + 0.98304I
4.75759 4.36318I 0
u = 0.697062 + 0.316494I
a = 1.50497 0.44251I
b = 2.17681 0.74965I
4.10661 + 2.57768I 0
u = 0.697062 0.316494I
a = 1.50497 + 0.44251I
b = 2.17681 + 0.74965I
4.10661 2.57768I 0
u = 0.855313 + 0.904264I
a = 1.360610 0.104658I
b = 0.609321 + 0.935027I
5.2831 13.6138I 0
u = 0.855313 0.904264I
a = 1.360610 + 0.104658I
b = 0.609321 0.935027I
5.2831 + 13.6138I 0
u = 0.348770 + 0.668497I
a = 1.193380 + 0.399575I
b = 0.585447 1.273580I
6.46899 + 6.24386I 0
u = 0.348770 0.668497I
a = 1.193380 0.399575I
b = 0.585447 + 1.273580I
6.46899 6.24386I 0
u = 0.865030 + 0.908979I
a = 1.281090 0.174043I
b = 0.588525 + 0.844776I
6.69889 + 7.89913I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.865030 0.908979I
a = 1.281090 + 0.174043I
b = 0.588525 0.844776I
6.69889 7.89913I 0
u = 0.869545 + 0.907139I
a = 1.112880 + 0.003078I
b = 0.885115 + 0.882194I
0.56042 7.08818I 0
u = 0.869545 0.907139I
a = 1.112880 0.003078I
b = 0.885115 0.882194I
0.56042 + 7.08818I 0
u = 0.335556 + 0.655229I
a = 0.875491 + 0.039648I
b = 1.110760 0.594061I
0.225668 0.934094I 0
u = 0.335556 0.655229I
a = 0.875491 0.039648I
b = 1.110760 + 0.594061I
0.225668 + 0.934094I 0
u = 0.410318 + 1.195580I
a = 0.581246 0.466023I
b = 0.365149 + 0.473190I
0.64204 + 6.58118I 0
u = 0.410318 1.195580I
a = 0.581246 + 0.466023I
b = 0.365149 0.473190I
0.64204 6.58118I 0
u = 0.241740 + 0.660199I
a = 1.81277 1.64202I
b = 0.012805 0.214962I
0.91722 1.51438I 0
u = 0.241740 0.660199I
a = 1.81277 + 1.64202I
b = 0.012805 + 0.214962I
0.91722 + 1.51438I 0
u = 0.686271 + 0.135352I
a = 1.34772 0.94152I
b = 1.247450 0.663014I
3.79316 + 0.49402I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.686271 0.135352I
a = 1.34772 + 0.94152I
b = 1.247450 + 0.663014I
3.79316 0.49402I 0
u = 0.298237 + 0.578852I
a = 1.38184 + 1.93644I
b = 0.306882 + 0.428918I
0.196469 1.352020I 0
u = 0.298237 0.578852I
a = 1.38184 1.93644I
b = 0.306882 0.428918I
0.196469 + 1.352020I 0
u = 0.563884 + 0.293134I
a = 1.121540 0.531986I
b = 1.83087 1.27408I
5.93828 2.88611I 0
u = 0.563884 0.293134I
a = 1.121540 + 0.531986I
b = 1.83087 + 1.27408I
5.93828 + 2.88611I 0
u = 0.618539
a = 0.417565
b = 0.688252
1.46636 0
u = 1.175570 + 0.728537I
a = 0.670080 0.066297I
b = 0.884233 + 0.993981I
1.63476 3.53703I 0
u = 1.175570 0.728537I
a = 0.670080 + 0.066297I
b = 0.884233 0.993981I
1.63476 + 3.53703I 0
u = 1.394300 + 0.001986I
a = 0.299484 0.835963I
b = 0.35768 + 1.49140I
4.15799 0.36011I 0
u = 1.394300 0.001986I
a = 0.299484 + 0.835963I
b = 0.35768 1.49140I
4.15799 + 0.36011I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.395650 + 0.154090I
a = 0.004097 + 0.902970I
b = 0.07106 1.55279I
3.95984 + 6.13218I 0
u = 1.395650 0.154090I
a = 0.004097 0.902970I
b = 0.07106 + 1.55279I
3.95984 6.13218I 0
u = 0.588280 + 0.013423I
a = 1.50174 + 0.67687I
b = 1.93868 + 1.15727I
0.08821 10.56030I 0
u = 0.588280 0.013423I
a = 1.50174 0.67687I
b = 1.93868 1.15727I
0.08821 + 10.56030I 0
u = 0.572181 + 0.026494I
a = 1.57963 0.91589I
b = 1.70848 0.96450I
1.66279 4.87054I 0
u = 0.572181 0.026494I
a = 1.57963 + 0.91589I
b = 1.70848 + 0.96450I
1.66279 + 4.87054I 0
u = 1.20362 + 0.82210I
a = 1.055130 + 0.297394I
b = 1.28769 1.27485I
2.91003 13.62930I 0
u = 1.20362 0.82210I
a = 1.055130 0.297394I
b = 1.28769 + 1.27485I
2.91003 + 13.62930I 0
u = 1.22695 + 0.79303I
a = 0.996786 + 0.347190I
b = 1.15835 1.27098I
1.37089 + 8.22540I 0
u = 1.22695 0.79303I
a = 0.996786 0.347190I
b = 1.15835 + 1.27098I
1.37089 8.22540I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.18536 + 0.87177I
a = 0.047675 + 0.415271I
b = 0.158341 1.058200I
4.50770 + 6.95688I 0
u = 1.18536 0.87177I
a = 0.047675 0.415271I
b = 0.158341 + 1.058200I
4.50770 6.95688I 0
u = 1.17909 + 0.88109I
a = 0.672968 + 0.036672I
b = 0.972213 + 0.986147I
4.92183 + 8.27385I 0
u = 1.17909 0.88109I
a = 0.672968 0.036672I
b = 0.972213 0.986147I
4.92183 8.27385I 0
u = 0.398326 + 0.298642I
a = 1.58795 0.49709I
b = 0.573121 + 0.525290I
2.00017 1.11829I 0
u = 0.398326 0.298642I
a = 1.58795 + 0.49709I
b = 0.573121 0.525290I
2.00017 + 1.11829I 0
u = 1.15338 + 0.98412I
a = 0.136239 + 0.369762I
b = 0.079148 1.000720I
6.03588 1.06335I 0
u = 1.15338 0.98412I
a = 0.136239 0.369762I
b = 0.079148 + 1.000720I
6.03588 + 1.06335I 0
u = 1.25242 + 0.85835I
a = 0.927697 + 0.088415I
b = 0.938480 1.004640I
1.71686 + 6.27851I 0
u = 1.25242 0.85835I
a = 0.927697 0.088415I
b = 0.938480 + 1.004640I
1.71686 6.27851I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.32401 + 0.75851I
a = 0.808297 + 0.314352I
b = 0.841041 1.126130I
1.98252 + 6.76951I 0
u = 1.32401 0.75851I
a = 0.808297 0.314352I
b = 0.841041 + 1.126130I
1.98252 6.76951I 0
u = 0.66455 + 1.38409I
a = 0.031070 0.194703I
b = 0.347284 + 0.421990I
0.529443 + 1.246450I 0
u = 0.66455 1.38409I
a = 0.031070 + 0.194703I
b = 0.347284 0.421990I
0.529443 1.246450I 0
u = 0.429952 + 0.149618I
a = 2.62384 2.47187I
b = 0.615405 0.336870I
0.89592 2.13597I 0. 3.22889I
u = 0.429952 0.149618I
a = 2.62384 + 2.47187I
b = 0.615405 + 0.336870I
0.89592 + 2.13597I 0. + 3.22889I
u = 0.452785 + 0.003083I
a = 0.695018 1.103270I
b = 1.04198 1.76283I
4.31673 + 3.21977I 0. 12.14208I
u = 0.452785 0.003083I
a = 0.695018 + 1.103270I
b = 1.04198 + 1.76283I
4.31673 3.21977I 0. + 12.14208I
u = 1.28909 + 0.87762I
a = 0.884630 + 0.210271I
b = 1.18822 0.96900I
6.91490 6.58802I 0
u = 1.28909 0.87762I
a = 0.884630 0.210271I
b = 1.18822 + 0.96900I
6.91490 + 6.58802I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.26574 + 0.95604I
a = 0.829990 0.084017I
b = 0.966660 0.879835I
3.06549 10.87650I 0
u = 1.26574 0.95604I
a = 0.829990 + 0.084017I
b = 0.966660 + 0.879835I
3.06549 + 10.87650I 0
u = 1.28345 + 0.94836I
a = 0.976200 0.259272I
b = 1.19325 + 1.21549I
0.7257 + 20.5065I 0
u = 1.28345 0.94836I
a = 0.976200 + 0.259272I
b = 1.19325 1.21549I
0.7257 20.5065I 0
u = 1.61080 + 0.05215I
a = 0.157947 + 0.653016I
b = 0.175826 + 0.082752I
1.04290 4.87907I 0
u = 1.61080 0.05215I
a = 0.157947 0.653016I
b = 0.175826 0.082752I
1.04290 + 4.87907I 0
u = 1.31378 + 0.94596I
a = 0.919982 0.303659I
b = 1.12027 + 1.19579I
2.5768 14.1031I 0
u = 1.31378 0.94596I
a = 0.919982 + 0.303659I
b = 1.12027 1.19579I
2.5768 + 14.1031I 0
u = 1.45394 + 0.72323I
a = 0.501242 0.087960I
b = 0.781092 + 0.862908I
5.81948 0.62082I 0
u = 1.45394 0.72323I
a = 0.501242 + 0.087960I
b = 0.781092 0.862908I
5.81948 + 0.62082I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.147565 + 0.312728I
a = 7.54834 7.07058I
b = 0.081540 0.139388I
0.00261 + 2.19891I 74.232 + 121.668I
u = 0.147565 0.312728I
a = 7.54834 + 7.07058I
b = 0.081540 + 0.139388I
0.00261 2.19891I 74.232 121.668I
u = 0.335081 + 0.046835I
a = 4.30559 + 6.54424I
b = 0.166710 + 0.267849I
0.24031 + 2.15838I 16.7384 + 31.8259I
u = 0.335081 0.046835I
a = 4.30559 6.54424I
b = 0.166710 0.267849I
0.24031 2.15838I 16.7384 31.8259I
u = 0.58539 + 1.57854I
a = 0.445113 0.020672I
b = 1.131720 + 0.220367I
3.67007 0.78875I 0
u = 0.58539 1.57854I
a = 0.445113 + 0.020672I
b = 1.131720 0.220367I
3.67007 + 0.78875I 0
u = 1.32280 + 1.04702I
a = 0.754897 0.193301I
b = 1.10914 + 0.97677I
5.51088 + 11.45020I 0
u = 1.32280 1.04702I
a = 0.754897 + 0.193301I
b = 1.10914 0.97677I
5.51088 11.45020I 0
u = 0.32318 + 1.66580I
a = 0.438789 + 0.256774I
b = 0.132752 0.414104I
5.28882 + 5.53297I 0
u = 0.32318 1.66580I
a = 0.438789 0.256774I
b = 0.132752 + 0.414104I
5.28882 5.53297I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.55248 + 1.65706I
a = 0.339898 + 0.339738I
b = 0.323162 0.437894I
2.99602 11.98150I 0
u = 0.55248 1.65706I
a = 0.339898 0.339738I
b = 0.323162 + 0.437894I
2.99602 + 11.98150I 0
u = 1.58647 + 0.93394I
a = 0.457779 + 0.099300I
b = 0.599669 0.818290I
5.20891 4.10635I 0
u = 1.58647 0.93394I
a = 0.457779 0.099300I
b = 0.599669 + 0.818290I
5.20891 + 4.10635I 0
u = 1.38925 + 1.27476I
a = 0.451560 + 0.065247I
b = 0.810684 0.412101I
1.91007 + 1.47283I 0
u = 1.38925 1.27476I
a = 0.451560 0.065247I
b = 0.810684 + 0.412101I
1.91007 1.47283I 0
u = 0.43839 + 1.84098I
a = 0.394242 + 0.042012I
b = 0.170181 + 0.025011I
3.12789 1.65934I 0
u = 0.43839 1.84098I
a = 0.394242 0.042012I
b = 0.170181 0.025011I
3.12789 + 1.65934I 0
u = 1.74686 + 0.86115I
a = 0.498334 + 0.393403I
b = 0.663632 0.834331I
0.35620 + 5.26509I 0
u = 1.74686 0.86115I
a = 0.498334 0.393403I
b = 0.663632 + 0.834331I
0.35620 5.26509I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.55532 + 1.26210I
a = 0.512501 0.279856I
b = 0.807979 + 0.797473I
1.21984 6.54755I 0
u = 1.55532 1.26210I
a = 0.512501 + 0.279856I
b = 0.807979 0.797473I
1.21984 + 6.54755I 0
u = 1.88989 + 1.24547I
a = 0.0169879 + 0.1001290I
b = 0.125753 0.254862I
0.465648 + 0.114124I 0
u = 1.88989 1.24547I
a = 0.0169879 0.1001290I
b = 0.125753 + 0.254862I
0.465648 0.114124I 0
21
II.
I
u
2
= h−1.20×10
32
u
31
+5.25×10
31
u
30
+· · ·+7.23×10
32
b+1.40×10
32
, 1.57×
10
33
u
31
+7.89×10
31
u
30
+· · ·+7.23 ×10
32
a+5.29×10
32
, u
32
5u
30
+· · ·+u
2
1i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
8
=
2.17267u
31
0.109129u
30
+ ··· + 0.0240644u 0.731574
0.165984u
31
0.0726637u
30
+ ··· 1.42990u 0.193119
a
9
=
2.30105u
31
0.206296u
30
+ ··· + 0.766832u 1.03382
0.0615039u
31
0.0189450u
30
+ ··· 1.55828u 0.0959528
a
7
=
2.33865u
31
0.181793u
30
+ ··· 1.40584u 0.924693
0.165984u
31
0.0726637u
30
+ ··· 1.42990u 0.193119
a
12
=
2.61842u
31
0.317678u
30
+ ··· 11.9884u 2.02389
1.46300u
31
+ 0.166363u
30
+ ··· 3.08142u + 0.484041
a
1
=
1.29205u
31
+ 0.374896u
30
+ ··· 6.94201u + 0.349088
0.0214968u
31
0.267411u
30
+ ··· 0.0122816u 0.510781
a
6
=
5.87980u
31
0.433506u
30
+ ··· 32.0127u 3.63090
0.915318u
31
+ 0.105899u
30
+ ··· 0.303830u + 0.867460
a
10
=
4.83152u
31
0.219489u
30
+ ··· 4.10413u 2.37454
0.750101u
31
0.264552u
30
+ ··· 2.80286u 0.133386
a
3
=
1.20253u
31
3.52857u
30
+ ··· 8.65804u + 13.6898
0.297400u
31
0.0444517u
30
+ ··· + 1.45374u + 0.0172451
a
2
=
6.75172u
31
2.33238u
30
+ ··· + 23.0829u + 9.33395
0.115121u
31
0.00951632u
30
+ ··· 0.648142u + 0.116976
(ii) Obstruction class = 1
(iii) Cusp Shapes = 3.40757u
31
+ 1.64218u
30
+ ··· 6.28733u 12.3438
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
32
14u
31
+ ··· 10u + 1
c
2
u
32
+ 4u
31
+ ··· + 4u + 1
c
3
u
32
+ 12u
30
+ ··· 25u
2
1
c
4
u
32
5u
30
+ ··· + u
2
1
c
5
u
32
4u
31
+ ··· 4u + 1
c
6
u
32
10u
31
+ ··· + 12u + 1
c
7
u
32
+ 4u
31
+ ··· + 32u + 1
c
8
u
32
6u
30
+ ··· + 15u
2
1
c
9
u
32
4u
31
+ ··· 6u + 1
c
10
u
32
+ 16u
31
+ ··· 141u + 23
c
11
u
32
+ 10u
31
+ ··· 12u + 1
c
12
u
32
+ 4u
31
+ ··· + 6u + 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
32
+ 6y
31
+ ··· 14y + 1
c
2
, c
5
y
32
14y
31
+ ··· 10y + 1
c
3
y
32
+ 24y
31
+ ··· + 50y + 1
c
4
y
32
10y
31
+ ··· 2y + 1
c
6
, c
11
y
32
66y
30
+ ··· 14y + 1
c
7
y
32
24y
31
+ ··· 298y + 1
c
8
y
32
12y
31
+ ··· 30y + 1
c
9
, c
12
y
32
12y
31
+ ··· 22y + 1
c
10
y
32
26y
31
+ ··· 66939y + 529
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.054960 + 0.064608I
a = 0.103718 + 1.017290I
b = 0.187643 1.204760I
4.96491 + 5.19091I 5.33306 2.99753I
u = 1.054960 0.064608I
a = 0.103718 1.017290I
b = 0.187643 + 1.204760I
4.96491 5.19091I 5.33306 + 2.99753I
u = 1.056620 + 0.046460I
a = 0.439593 + 0.961485I
b = 0.159090 1.099210I
5.48302 + 0.83513I 6.38836 2.08048I
u = 1.056620 0.046460I
a = 0.439593 0.961485I
b = 0.159090 + 1.099210I
5.48302 0.83513I 6.38836 + 2.08048I
u = 1.06769
a = 0.879618
b = 0.585411
1.54128 11.5840
u = 0.653964 + 0.886307I
a = 0.957909 + 0.255346I
b = 1.43814 + 0.50151I
3.30982 5.48750I 2.54181 + 7.09571I
u = 0.653964 0.886307I
a = 0.957909 0.255346I
b = 1.43814 0.50151I
3.30982 + 5.48750I 2.54181 7.09571I
u = 0.331542 + 0.823591I
a = 0.613358 + 0.710198I
b = 1.55431 + 0.20276I
1.31062 + 10.90530I 0.37814 9.78574I
u = 0.331542 0.823591I
a = 0.613358 0.710198I
b = 1.55431 0.20276I
1.31062 10.90530I 0.37814 + 9.78574I
u = 1.13564
a = 0.0789166
b = 0.383727
0.506410 6.13130
27
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.717406 + 0.409425I
a = 0.807275 0.604738I
b = 1.51586 0.57693I
5.42828 + 1.43665I 8.81246 1.89374I
u = 0.717406 0.409425I
a = 0.807275 + 0.604738I
b = 1.51586 + 0.57693I
5.42828 1.43665I 8.81246 + 1.89374I
u = 0.782133 + 0.219626I
a = 1.50588 0.37620I
b = 1.66447 0.68484I
4.11400 + 1.78189I 10.18437 3.31766I
u = 0.782133 0.219626I
a = 1.50588 + 0.37620I
b = 1.66447 + 0.68484I
4.11400 1.78189I 10.18437 + 3.31766I
u = 0.873027 + 0.966978I
a = 0.899434 0.038977I
b = 1.26023 + 0.64557I
3.25179 5.55942I 1.67840 + 6.71377I
u = 0.873027 0.966978I
a = 0.899434 + 0.038977I
b = 1.26023 0.64557I
3.25179 + 5.55942I 1.67840 6.71377I
u = 0.616982 + 0.145584I
a = 1.96214 1.26583I
b = 1.66862 0.47696I
3.21972 0.54732I 0.18930 + 4.53727I
u = 0.616982 0.145584I
a = 1.96214 + 1.26583I
b = 1.66862 + 0.47696I
3.21972 + 0.54732I 0.18930 4.53727I
u = 0.061628 + 0.617599I
a = 0.48686 3.35423I
b = 0.112734 0.340030I
0.86590 + 1.74893I 13.7747 20.1318I
u = 0.061628 0.617599I
a = 0.48686 + 3.35423I
b = 0.112734 + 0.340030I
0.86590 1.74893I 13.7747 + 20.1318I
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.545964 + 0.204906I
a = 1.48998 1.71820I
b = 1.61001 0.48939I
3.92605 4.08921I 2.06100 + 3.54159I
u = 0.545964 0.204906I
a = 1.48998 + 1.71820I
b = 1.61001 + 0.48939I
3.92605 + 4.08921I 2.06100 3.54159I
u = 1.22852 + 0.77115I
a = 0.957694 + 0.212573I
b = 0.92892 1.09393I
2.46522 + 6.32806I 9.78116 4.39388I
u = 1.22852 0.77115I
a = 0.957694 0.212573I
b = 0.92892 + 1.09393I
2.46522 6.32806I 9.78116 + 4.39388I
u = 0.031797 + 0.462744I
a = 0.51015 5.13569I
b = 0.0734224 0.0198463I
0.05067 2.22877I 26.5553 5.9848I
u = 0.031797 0.462744I
a = 0.51015 + 5.13569I
b = 0.0734224 + 0.0198463I
0.05067 + 2.22877I 26.5553 + 5.9848I
u = 1.26146 + 0.96320I
a = 0.712073 + 0.059533I
b = 0.972299 0.974783I
4.83366 9.08488I 0. + 9.89699I
u = 1.26146 0.96320I
a = 0.712073 0.059533I
b = 0.972299 + 0.974783I
4.83366 + 9.08488I 0. 9.89699I
u = 0.83809 + 1.71422I
a = 0.333273 + 0.077391I
b = 0.898046 0.330896I
3.92896 + 1.20794I 0
u = 0.83809 1.71422I
a = 0.333273 0.077391I
b = 0.898046 + 0.330896I
3.92896 1.20794I 0
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.80499 + 0.93489I
a = 0.439674 + 0.372695I
b = 0.572686 0.879217I
0.12527 + 6.02983I 0
u = 1.80499 0.93489I
a = 0.439674 0.372695I
b = 0.572686 + 0.879217I
0.12527 6.02983I 0
30
III. I
u
3
= hu
2
b + b
2
+ u
2
+ 2u + 1, a, u
3
+ u
2
1i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
8
=
0
b
a
9
=
b
u
2
b + b
a
7
=
b
b
a
12
=
u
2
b u
2
b u 1
u
2
b u
2
b 1
a
1
=
u
2
b 1
1
a
6
=
u
2
b + 1
1
a
10
=
0
u
a
3
=
1
0
a
2
=
u
2
b
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = bu u
2
4u 7
31
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u 1)
6
c
3
, c
4
, c
12
(u
3
+ u
2
1)
2
c
5
(u + 1)
6
c
6
(u
3
+ u
2
+ 2u + 1)
2
c
7
, c
8
u
6
u
5
+ 4u
4
u
3
+ 2u
2
+ 2u + 1
c
9
(u
3
u
2
+ 1)
2
c
10
u
6
c
11
(u
3
u
2
+ 2u 1)
2
32
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
(y 1)
6
c
3
, c
4
, c
9
c
12
(y
3
y
2
+ 2y 1)
2
c
6
, c
11
(y
3
+ 3y
2
+ 2y 1)
2
c
7
, c
8
y
6
+ 7y
5
+ 18y
4
+ 21y
3
+ 16y
2
+ 1
c
10
y
6
33
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
1(vol +
1CS) Cusp shape
u = 0.877439 + 0.744862I
a = 0
b = 0.592519 + 0.986732I
4.66906 + 2.82812I 3.92040 2.97945I
u = 0.877439 + 0.744862I
a = 0
b = 0.377439 + 0.320410I
0.531480 4.27516 1.67231I
u = 0.877439 0.744862I
a = 0
b = 0.592519 0.986732I
4.66906 2.82812I 3.92040 + 2.97945I
u = 0.877439 0.744862I
a = 0
b = 0.377439 0.320410I
0.531480 4.27516 + 1.67231I
u = 0.754878
a = 0
b = 0.28492 + 1.73159I
4.66906 2.82812I 10.80443 + 1.30714I
u = 0.754878
a = 0
b = 0.28492 1.73159I
4.66906 + 2.82812I 10.80443 1.30714I
34
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u 1)
6
)(u
32
14u
31
+ ··· 10u + 1)
· (u
164
+ 67u
163
+ ··· + 5522661u + 35721)
c
2
((u 1)
6
)(u
32
+ 4u
31
+ ··· + 4u + 1)(u
164
+ 5u
163
+ ··· + 2781u + 189)
c
3
((u
3
+ u
2
1)
2
)(u
32
+ 12u
30
+ ··· 25u
2
1)
· (u
164
+ 3u
163
+ ··· + 905948789u 782977201)
c
4
((u
3
+ u
2
1)
2
)(u
32
5u
30
+ ··· + u
2
1)
· (u
164
+ u
163
+ ··· + 199323u 38863)
c
5
((u + 1)
6
)(u
32
4u
31
+ ··· 4u + 1)(u
164
+ 5u
163
+ ··· + 2781u + 189)
c
6
((u
3
+ u
2
+ 2u + 1)
2
)(u
32
10u
31
+ ··· + 12u + 1)
· (u
164
+ 5u
163
+ ··· 10894215u 899893)
c
7
(u
6
u
5
+ 4u
4
u
3
+ 2u
2
+ 2u + 1)(u
32
+ 4u
31
+ ··· + 32u + 1)
· (u
164
8u
163
+ ··· + 35u 1)
c
8
(u
6
u
5
+ 4u
4
u
3
+ 2u
2
+ 2u + 1)(u
32
6u
30
+ ··· + 15u
2
1)
· (u
164
4u
163
+ ··· + 38135u + 12557)
c
9
((u
3
u
2
+ 1)
2
)(u
32
4u
31
+ ··· 6u + 1)
· (u
164
+ 3u
163
+ ··· 391027u 16729)
c
10
u
6
(u
32
+ 16u
31
+ ··· 141u + 23)(u
164
3u
163
+ ··· 6336u + 448)
c
11
((u
3
u
2
+ 2u 1)
2
)(u
32
+ 10u
31
+ ··· 12u + 1)
· (u
164
+ 5u
163
+ ··· 10894215u 899893)
c
12
((u
3
+ u
2
1)
2
)(u
32
+ 4u
31
+ ··· + 6u + 1)
· (u
164
+ 3u
163
+ ··· 391027u 16729)
35
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y 1)
6
)(y
32
+ 6y
31
+ ··· 14y + 1)
· (y
164
+ 65y
163
+ ··· 24187621914549y + 1275989841)
c
2
, c
5
((y 1)
6
)(y
32
14y
31
+ ··· 10y + 1)
· (y
164
67y
163
+ ··· 5522661y + 35721)
c
3
((y
3
y
2
+ 2y 1)
2
)(y
32
+ 24y
31
+ ··· + 50y + 1)
· (y
164
29y
163
+ ··· 3.35 × 10
19
y + 6.13 × 10
17
)
c
4
((y
3
y
2
+ 2y 1)
2
)(y
32
10y
31
+ ··· 2y + 1)
· (y
164
39y
163
+ ··· 100873049407y + 1510332769)
c
6
, c
11
((y
3
+ 3y
2
+ 2y 1)
2
)(y
32
66y
30
+ ··· 14y + 1)
· (y
164
+ 87y
163
+ ··· 44025753748099y + 809807411449)
c
7
(y
6
+ 7y
5
+ 18y
4
+ 21y
3
+ 16y
2
+ 1)(y
32
24y
31
+ ··· 298y + 1)
· (y
164
20y
163
+ ··· 31y + 1)
c
8
(y
6
+ 7y
5
+ 18y
4
+ 21y
3
+ 16y
2
+ 1)(y
32
12y
31
+ ··· 30y + 1)
· (y
164
+ 4y
163
+ ··· 1788168855y + 157678249)
c
9
, c
12
((y
3
y
2
+ 2y 1)
2
)(y
32
12y
31
+ ··· 22y + 1)
· (y
164
93y
163
+ ··· 86202822195y + 279859441)
c
10
y
6
(y
32
26y
31
+ ··· 66939y + 529)
· (y
164
5y
163
+ ··· + 13514752y + 200704)
36