12a
1195
(K12a
1195
)
A knot diagram
1
Linearized knot diagam
4 10 11 1 9 3 2 12 6 7 5 8
Solving Sequence
8,12 5,9
6 1 4 2 7 11 3 10
c
8
c
5
c
12
c
4
c
1
c
7
c
11
c
3
c
10
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h2.03927 × 10
912
u
159
+ 1.35894 × 10
912
u
158
+ ··· + 9.34788 × 10
913
b + 5.58125 × 10
916
,
− 9.45580 × 10
916
u
159
+ 1.94852 × 10
917
u
158
+ ··· + 4.24557 × 10
917
a + 1.74254 × 10
921
,
u
160
− u
159
+ ··· − 330465u + 18167i
I
u
2
= h−1.90847 × 10
34
u
40
+ 4.31793 × 10
34
u
39
+ ··· + 1.72831 × 10
34
b + 6.15425 × 10
34
,
− 4.98341 × 10
33
u
40
− 1.50943 × 10
33
u
39
+ ··· + 8.64157 × 10
33
a + 4.31559 × 10
34
, u
41
− 2u
40
+ ··· − 7u − 1i
* 2 irreducible components of dim
C
= 0, with total 201 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
= h2.04 × 10
912
u
159
+ 1.36 × 10
912
u
158
+ · · · + 9.35 × 10
913
b + 5.58 ×
10
916
, −9.46 × 10
916
u
159
+ 1.95 × 10
917
u
158
+ · · · + 4.25 × 10
917
a + 1.74 ×
10
921
, u
160
− u
159
+ · · · − 330465u + 18167i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
5
=
0.222721u
159
− 0.458952u
158
+ ··· + 78471.9u − 4104.37
−0.0218153u
159
− 0.0145375u
158
+ ··· + 9981.29u − 597.061
a
9
=
1
−u
2
a
6
=
0.494545u
159
− 0.943878u
158
+ ··· + 150603.u − 7798.92
0.267103u
159
− 0.522995u
158
+ ··· + 85342.5u − 4468.50
a
1
=
u
u
a
4
=
0.476376u
159
− 0.920698u
158
+ ··· + 148967.u − 7735.56
0.231839u
159
− 0.476284u
158
+ ··· + 80476.5u − 4228.25
a
2
=
−0.352143u
159
+ 0.116477u
158
+ ··· + 69816.5u − 4236.41
−0.0688601u
159
− 0.119045u
158
+ ··· + 61725.5u − 3476.43
a
7
=
0.0428579u
159
− 0.445545u
158
+ ··· + 137371.u − 7495.66
−0.231905u
159
− 0.0320693u
158
+ ··· + 82452.8u − 4739.47
a
11
=
0.227637u
159
− 0.353886u
158
+ ··· + 29899.4u − 1386.42
0.162107u
159
− 0.459622u
158
+ ··· + 89079.0u − 4755.16
a
3
=
0.219745u
159
+ 0.241693u
158
+ ··· − 120809.u + 6892.80
−0.0572576u
159
+ 0.476848u
158
+ ··· − 123113.u + 6728.65
a
10
=
0.139410u
159
− 0.461545u
158
+ ··· + 112422.u − 6012.46
0.119660u
159
− 0.178609u
158
+ ··· + 27642.6u − 1394.50
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.237922u
159
− 0.155452u
158
+ ··· + 121749.u − 6907.25
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
160
+ 4u
159
+ ··· − 7828u + 1444
c
2
u
160
+ 3u
159
+ ··· + 341146u + 46381
c
3
u
160
− 18u
158
+ ··· + 706845372u + 100225917
c
5
, c
9
u
160
+ 2u
159
+ ··· + 6873u + 279
c
6
u
160
+ 8u
159
+ ··· + 40554u + 6463
c
7
u
160
+ 2u
159
+ ··· + 528175038798u + 68942737333
c
8
, c
12
u
160
+ u
159
+ ··· + 330465u + 18167
c
10
u
160
− 3u
159
+ ··· + 23u + 19
c
11
u
160
− 28u
158
+ ··· − 135828304u + 2699248
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
160
+ 94y
159
+ ··· + 135556944y + 2085136
c
2
y
160
+ 55y
159
+ ··· + 289002611650y + 2151197161
c
3
y
160
− 36y
159
+ ··· + 235215438020548344y + 10045234438490889
c
5
, c
9
y
160
− 148y
159
+ ··· − 15857325y + 77841
c
6
y
160
− 38y
159
+ ··· + 4276709054y + 41770369
c
7
y
160
+ 80y
159
+ ··· + 2.79 × 10
23
y + 4.75 × 10
21
c
8
, c
12
y
160
+ 105y
159
+ ··· + 15360514711y + 330039889
c
10
y
160
+ 13y
159
+ ··· + 34469y + 361
c
11
y
160
− 56y
159
+ ··· − 10507054762812928y + 7285939765504
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.771319 + 0.637206I
a = −0.878331 + 0.862171I
b = −0.484648 + 1.116990I
−5.69397 + 1.50187I 0
u = 0.771319 − 0.637206I
a = −0.878331 − 0.862171I
b = −0.484648 − 1.116990I
−5.69397 − 1.50187I 0
u = 0.022733 + 1.003480I
a = −0.261812 + 0.374866I
b = −1.33271 + 0.93030I
−1.67760 − 2.03203I 0
u = 0.022733 − 1.003480I
a = −0.261812 − 0.374866I
b = −1.33271 − 0.93030I
−1.67760 + 2.03203I 0
u = 0.929840 + 0.382995I
a = 0.280467 − 0.907021I
b = 0.386885 + 0.388981I
−0.85757 + 4.99990I 0
u = 0.929840 − 0.382995I
a = 0.280467 + 0.907021I
b = 0.386885 − 0.388981I
−0.85757 − 4.99990I 0
u = −0.212329 + 0.970022I
a = 0.323258 − 0.821506I
b = −0.021983 − 1.119710I
−0.84365 − 1.77714I 0
u = −0.212329 − 0.970022I
a = 0.323258 + 0.821506I
b = −0.021983 + 1.119710I
−0.84365 + 1.77714I 0
u = 0.986506 + 0.228196I
a = −0.749902 − 0.866777I
b = −0.008395 + 0.163431I
1.91050 − 8.98963I 0
u = 0.986506 − 0.228196I
a = −0.749902 + 0.866777I
b = −0.008395 − 0.163431I
1.91050 + 8.98963I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.193102 + 1.000310I
a = −0.812533 − 0.993476I
b = 0.280883 − 0.869016I
−3.66078 + 3.86809I 0
u = 0.193102 − 1.000310I
a = −0.812533 + 0.993476I
b = 0.280883 + 0.869016I
−3.66078 − 3.86809I 0
u = 0.019225 + 1.021360I
a = −1.65040 + 0.08303I
b = −0.178571 + 0.321455I
−1.76945 + 2.27520I 0
u = 0.019225 − 1.021360I
a = −1.65040 − 0.08303I
b = −0.178571 − 0.321455I
−1.76945 − 2.27520I 0
u = 0.352108 + 0.968435I
a = −0.270184 + 0.930458I
b = 0.10069 + 1.81270I
−2.83007 + 3.63849I 0
u = 0.352108 − 0.968435I
a = −0.270184 − 0.930458I
b = 0.10069 − 1.81270I
−2.83007 − 3.63849I 0
u = −0.890024 + 0.380460I
a = 1.018230 + 0.695440I
b = 0.294141 + 0.585359I
−6.58434 − 9.09290I 0
u = −0.890024 − 0.380460I
a = 1.018230 − 0.695440I
b = 0.294141 − 0.585359I
−6.58434 + 9.09290I 0
u = −0.311265 + 0.893265I
a = 0.303539 − 0.351570I
b = 0.91590 − 1.89089I
−0.99674 − 5.73801I 0
u = −0.311265 − 0.893265I
a = 0.303539 + 0.351570I
b = 0.91590 + 1.89089I
−0.99674 + 5.73801I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.191161 + 0.919191I
a = −0.857281 + 0.461508I
b = 0.34084 + 1.42315I
−1.25091 + 3.41761I 0
u = 0.191161 − 0.919191I
a = −0.857281 − 0.461508I
b = 0.34084 − 1.42315I
−1.25091 − 3.41761I 0
u = 0.718248 + 0.601639I
a = 0.038366 + 0.773545I
b = −0.840793 − 0.160007I
−1.40727 + 0.32935I 0
u = 0.718248 − 0.601639I
a = 0.038366 − 0.773545I
b = −0.840793 + 0.160007I
−1.40727 − 0.32935I 0
u = 0.928288 + 0.112945I
a = −0.664201 − 0.576783I
b = −0.777879 + 0.522774I
−0.911285 + 0.961081I 0
u = 0.928288 − 0.112945I
a = −0.664201 + 0.576783I
b = −0.777879 − 0.522774I
−0.911285 − 0.961081I 0
u = 0.183121 + 1.063230I
a = −0.349821 − 0.590510I
b = 0.48392 − 2.02054I
−3.96270 + 6.64572I 0
u = 0.183121 − 1.063230I
a = −0.349821 + 0.590510I
b = 0.48392 + 2.02054I
−3.96270 − 6.64572I 0
u = 0.015967 + 1.079850I
a = 2.28551 − 2.06721I
b = 1.26758 − 2.36916I
−6.54296 + 8.08154I 0
u = 0.015967 − 1.079850I
a = 2.28551 + 2.06721I
b = 1.26758 + 2.36916I
−6.54296 − 8.08154I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.113157 + 1.079860I
a = 0.65497 + 1.87674I
b = −0.17413 + 2.30420I
−7.21594 + 1.18947I 0
u = 0.113157 − 1.079860I
a = 0.65497 − 1.87674I
b = −0.17413 − 2.30420I
−7.21594 − 1.18947I 0
u = 0.388061 + 1.028440I
a = −0.161710 − 0.637116I
b = −1.06523 − 1.31134I
2.86422 − 0.13213I 0
u = 0.388061 − 1.028440I
a = −0.161710 + 0.637116I
b = −1.06523 + 1.31134I
2.86422 + 0.13213I 0
u = −1.082460 + 0.228095I
a = −0.956574 − 0.173480I
b = −0.150511 − 0.256263I
−5.18712 + 1.04076I 0
u = −1.082460 − 0.228095I
a = −0.956574 + 0.173480I
b = −0.150511 + 0.256263I
−5.18712 − 1.04076I 0
u = −0.048192 + 1.112590I
a = 0.446482 − 0.450424I
b = −1.45862 − 1.10483I
−5.73005 − 5.75625I 0
u = −0.048192 − 1.112590I
a = 0.446482 + 0.450424I
b = −1.45862 + 1.10483I
−5.73005 + 5.75625I 0
u = −0.339140 + 1.062200I
a = −1.24875 − 1.35121I
b = −0.42773 − 1.95657I
−2.54983 − 6.54010I 0
u = −0.339140 − 1.062200I
a = −1.24875 + 1.35121I
b = −0.42773 + 1.95657I
−2.54983 + 6.54010I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.093970 + 0.225847I
a = 0.535300 − 0.544148I
b = 0.263158 + 0.404730I
4.83225 − 0.41382I 0
u = −1.093970 − 0.225847I
a = 0.535300 + 0.544148I
b = 0.263158 − 0.404730I
4.83225 + 0.41382I 0
u = −0.079655 + 0.878752I
a = 0.79266 + 2.49745I
b = 1.58996 + 2.35499I
−5.66263 − 8.18748I 0
u = −0.079655 − 0.878752I
a = 0.79266 − 2.49745I
b = 1.58996 − 2.35499I
−5.66263 + 8.18748I 0
u = 0.051947 + 1.116560I
a = −1.13100 − 1.98926I
b = −0.34451 − 2.25191I
−7.68881 + 0.18170I 0
u = 0.051947 − 1.116560I
a = −1.13100 + 1.98926I
b = −0.34451 + 2.25191I
−7.68881 − 0.18170I 0
u = −0.036738 + 1.119980I
a = 0.420703 + 0.920641I
b = −0.93864 + 1.60800I
−5.15528 − 3.20035I 0
u = −0.036738 − 1.119980I
a = 0.420703 − 0.920641I
b = −0.93864 − 1.60800I
−5.15528 + 3.20035I 0
u = −0.471836 + 1.034540I
a = 0.223447 − 0.891094I
b = 0.82444 − 1.16768I
0.37134 − 1.55621I 0
u = −0.471836 − 1.034540I
a = 0.223447 + 0.891094I
b = 0.82444 + 1.16768I
0.37134 + 1.55621I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.793344 + 0.332222I
a = −1.57013 + 0.37692I
b = −0.687251 − 0.912052I
−0.10292 + 4.82677I 0
u = −0.793344 − 0.332222I
a = −1.57013 − 0.37692I
b = −0.687251 + 0.912052I
−0.10292 − 4.82677I 0
u = −0.788394 + 0.301425I
a = 0.866249 − 0.959882I
b = −0.0250898 − 0.0834574I
0.756316 − 0.261149I 0
u = −0.788394 − 0.301425I
a = 0.866249 + 0.959882I
b = −0.0250898 + 0.0834574I
0.756316 + 0.261149I 0
u = 0.312537 + 1.119230I
a = 0.440519 + 1.271460I
b = 1.32997 + 1.85254I
1.65273 + 6.18718I 0
u = 0.312537 − 1.119230I
a = 0.440519 − 1.271460I
b = 1.32997 − 1.85254I
1.65273 − 6.18718I 0
u = −0.485941 + 0.677045I
a = 1.129400 − 0.792715I
b = −0.548995 − 0.549939I
−0.47469 + 2.27310I 0
u = −0.485941 − 0.677045I
a = 1.129400 + 0.792715I
b = −0.548995 + 0.549939I
−0.47469 − 2.27310I 0
u = −0.789850 + 0.225465I
a = 0.284065 − 1.160750I
b = 0.252789 + 0.295295I
2.68987 − 3.10360I 0
u = −0.789850 − 0.225465I
a = 0.284065 + 1.160750I
b = 0.252789 − 0.295295I
2.68987 + 3.10360I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.146895 + 1.195160I
a = −0.435482 + 0.462232I
b = −0.636280 + 1.194530I
−3.64158 − 2.72765I 0
u = −0.146895 − 1.195160I
a = −0.435482 − 0.462232I
b = −0.636280 − 1.194530I
−3.64158 + 2.72765I 0
u = 0.038248 + 1.203750I
a = −0.127547 + 0.769202I
b = −0.13411 + 1.96529I
−5.58598 + 0.17460I 0
u = 0.038248 − 1.203750I
a = −0.127547 − 0.769202I
b = −0.13411 − 1.96529I
−5.58598 − 0.17460I 0
u = −0.507786 + 1.096330I
a = 0.431517 − 0.787097I
b = 0.87693 − 1.77504I
−1.63186 − 4.52471I 0
u = −0.507786 − 1.096330I
a = 0.431517 + 0.787097I
b = 0.87693 + 1.77504I
−1.63186 + 4.52471I 0
u = 0.385112 + 1.145430I
a = 0.736869 − 0.874360I
b = 0.18404 − 1.45269I
−3.82526 − 1.22877I 0
u = 0.385112 − 1.145430I
a = 0.736869 + 0.874360I
b = 0.18404 + 1.45269I
−3.82526 + 1.22877I 0
u = 0.003758 + 1.224780I
a = −0.325431 + 0.476596I
b = 0.96253 + 1.13630I
−5.74021 + 3.13154I 0
u = 0.003758 − 1.224780I
a = −0.325431 − 0.476596I
b = 0.96253 − 1.13630I
−5.74021 − 3.13154I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.170381 + 0.737075I
a = 0.45292 + 1.81818I
b = −0.29703 + 1.94984I
−1.22555 + 3.89889I 0
u = −0.170381 − 0.737075I
a = 0.45292 − 1.81818I
b = −0.29703 − 1.94984I
−1.22555 − 3.89889I 0
u = 0.248270 + 0.714425I
a = −0.015415 − 0.474095I
b = −1.050810 − 0.319934I
−1.44296 − 1.53470I 0
u = 0.248270 − 0.714425I
a = −0.015415 + 0.474095I
b = −1.050810 + 0.319934I
−1.44296 + 1.53470I 0
u = 0.701027 + 0.271853I
a = 0.938700 + 0.760765I
b = −0.158470 − 0.480526I
1.33311 − 3.17107I 0
u = 0.701027 − 0.271853I
a = 0.938700 − 0.760765I
b = −0.158470 + 0.480526I
1.33311 + 3.17107I 0
u = 0.424720 + 1.183200I
a = 0.016532 + 0.971665I
b = 0.84910 + 1.86937I
−1.53801 + 7.47985I 0
u = 0.424720 − 1.183200I
a = 0.016532 − 0.971665I
b = 0.84910 − 1.86937I
−1.53801 − 7.47985I 0
u = 1.260680 + 0.052977I
a = −0.733708 − 0.431970I
b = −0.338946 + 0.350189I
−3.93925 − 5.16916I 0
u = 1.260680 − 0.052977I
a = −0.733708 + 0.431970I
b = −0.338946 − 0.350189I
−3.93925 + 5.16916I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.624978 + 0.381968I
a = −1.30233 + 0.86319I
b = −0.763440 + 0.814076I
−5.71505 + 1.46266I 0
u = 0.624978 − 0.381968I
a = −1.30233 − 0.86319I
b = −0.763440 − 0.814076I
−5.71505 − 1.46266I 0
u = −0.448956 + 1.187160I
a = −0.09626 + 2.00763I
b = −0.91109 + 2.56937I
−2.83904 − 9.49173I 0
u = −0.448956 − 1.187160I
a = −0.09626 − 2.00763I
b = −0.91109 − 2.56937I
−2.83904 + 9.49173I 0
u = −1.266150 + 0.203428I
a = −0.770800 + 0.179739I
b = −0.199623 − 0.622947I
−2.65691 + 4.12603I 0
u = −1.266150 − 0.203428I
a = −0.770800 − 0.179739I
b = −0.199623 + 0.622947I
−2.65691 − 4.12603I 0
u = 0.572284 + 0.429818I
a = −1.05476 − 1.25532I
b = 0.137410 + 0.259897I
4.77299 + 4.00153I 0
u = 0.572284 − 0.429818I
a = −1.05476 + 1.25532I
b = 0.137410 − 0.259897I
4.77299 − 4.00153I 0
u = −1.312040 + 0.004704I
a = 0.676803 − 0.455758I
b = 0.290545 + 0.435528I
−3.6980 + 13.6691I 0
u = −1.312040 − 0.004704I
a = 0.676803 + 0.455758I
b = 0.290545 − 0.435528I
−3.6980 − 13.6691I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.533669 + 1.221510I
a = −0.357373 − 0.938096I
b = −1.02542 − 1.85578I
−1.2187 + 14.4133I 0
u = 0.533669 − 1.221510I
a = −0.357373 + 0.938096I
b = −1.02542 + 1.85578I
−1.2187 − 14.4133I 0
u = −0.367274 + 1.293060I
a = −0.276160 + 0.782809I
b = −1.07384 + 1.57529I
−1.89105 − 7.16268I 0
u = −0.367274 − 1.293060I
a = −0.276160 − 0.782809I
b = −1.07384 − 1.57529I
−1.89105 + 7.16268I 0
u = −0.206745 + 1.329860I
a = −0.691173 − 0.328586I
b = −1.068150 − 0.488779I
−4.49979 − 3.43539I 0
u = −0.206745 − 1.329860I
a = −0.691173 + 0.328586I
b = −1.068150 + 0.488779I
−4.49979 + 3.43539I 0
u = −0.523543 + 1.252300I
a = 0.319372 − 1.085070I
b = 0.95238 − 1.66839I
1.48788 − 5.16257I 0
u = −0.523543 − 1.252300I
a = 0.319372 + 1.085070I
b = 0.95238 + 1.66839I
1.48788 + 5.16257I 0
u = 0.366217 + 1.326070I
a = −0.429611 − 1.018580I
b = 0.09687 − 1.67663I
−10.62430 + 5.37850I 0
u = 0.366217 − 1.326070I
a = −0.429611 + 1.018580I
b = 0.09687 + 1.67663I
−10.62430 − 5.37850I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.241300 + 1.357060I
a = 0.480348 + 1.161640I
b = 0.23429 + 2.02195I
−10.27410 + 3.62043I 0
u = 0.241300 − 1.357060I
a = 0.480348 − 1.161640I
b = 0.23429 − 2.02195I
−10.27410 − 3.62043I 0
u = −0.596376 + 1.255710I
a = −0.002940 + 0.597827I
b = −0.68621 + 1.27720I
0.87079 − 7.02461I 0
u = −0.596376 − 1.255710I
a = −0.002940 − 0.597827I
b = −0.68621 − 1.27720I
0.87079 + 7.02461I 0
u = 0.070293 + 1.402540I
a = 1.73238 + 0.14815I
b = 2.08880 + 0.12438I
−8.75345 + 5.70112I 0
u = 0.070293 − 1.402540I
a = 1.73238 − 0.14815I
b = 2.08880 − 0.12438I
−8.75345 − 5.70112I 0
u = 0.15398 + 1.40780I
a = −1.44312 − 1.07283I
b = −2.01266 − 1.31893I
−7.92244 + 2.88032I 0
u = 0.15398 − 1.40780I
a = −1.44312 + 1.07283I
b = −2.01266 + 1.31893I
−7.92244 − 2.88032I 0
u = −0.36539 + 1.37089I
a = 0.368191 − 1.029030I
b = 0.01615 − 1.88284I
−11.9011 − 13.4082I 0
u = −0.36539 − 1.37089I
a = 0.368191 + 1.029030I
b = 0.01615 + 1.88284I
−11.9011 + 13.4082I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.55963 + 1.32820I
a = −0.330042 − 1.188310I
b = −0.85538 − 1.46121I
−4.79671 + 4.65674I 0
u = 0.55963 − 1.32820I
a = −0.330042 + 1.188310I
b = −0.85538 + 1.46121I
−4.79671 − 4.65674I 0
u = −1.41738 + 0.26867I
a = −0.066927 + 0.261952I
b = 0.157318 − 0.402861I
4.32946 + 0.49134I 0
u = −1.41738 − 0.26867I
a = −0.066927 − 0.261952I
b = 0.157318 + 0.402861I
4.32946 − 0.49134I 0
u = 0.21953 + 1.43065I
a = 0.972718 + 0.841552I
b = 1.09866 + 1.28048I
−8.47419 + 5.75201I 0
u = 0.21953 − 1.43065I
a = 0.972718 − 0.841552I
b = 1.09866 − 1.28048I
−8.47419 − 5.75201I 0
u = −0.461117 + 0.297405I
a = 0.673049 − 0.745905I
b = 0.189026 − 0.287413I
0.877529 − 1.031680I 0
u = −0.461117 − 0.297405I
a = 0.673049 + 0.745905I
b = 0.189026 + 0.287413I
0.877529 + 1.031680I 0
u = 0.476211 + 0.261545I
a = 1.73825 − 1.23491I
b = 0.677847 − 0.231017I
−5.14917 + 0.94616I 0
u = 0.476211 − 0.261545I
a = 1.73825 + 1.23491I
b = 0.677847 + 0.231017I
−5.14917 − 0.94616I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.37846 + 1.41696I
a = −0.203143 + 0.912738I
b = 0.05857 + 1.74835I
−10.61080 − 4.04474I 0
u = −0.37846 − 1.41696I
a = −0.203143 − 0.912738I
b = 0.05857 − 1.74835I
−10.61080 + 4.04474I 0
u = −0.30689 + 1.45855I
a = −0.374028 + 0.577175I
b = 0.170856 + 1.068930I
−8.82195 − 1.43934I 0
u = −0.30689 − 1.45855I
a = −0.374028 − 0.577175I
b = 0.170856 − 1.068930I
−8.82195 + 1.43934I 0
u = 0.380278 + 0.330357I
a = −0.0621875 + 0.0343678I
b = −1.010000 − 0.196503I
−1.85407 − 1.13333I 0
u = 0.380278 − 0.330357I
a = −0.0621875 − 0.0343678I
b = −1.010000 + 0.196503I
−1.85407 + 1.13333I 0
u = −0.67450 + 1.33711I
a = 0.065441 + 0.933565I
b = −0.16160 + 1.62092I
−8.46875 − 7.38395I 0
u = −0.67450 − 1.33711I
a = 0.065441 − 0.933565I
b = −0.16160 − 1.62092I
−8.46875 + 7.38395I 0
u = 0.251192 + 0.432476I
a = 3.02441 + 0.67825I
b = 0.460875 − 0.371861I
4.05011 − 3.41466I 11.3240 − 10.5501I
u = 0.251192 − 0.432476I
a = 3.02441 − 0.67825I
b = 0.460875 + 0.371861I
4.05011 + 3.41466I 11.3240 + 10.5501I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.72800 + 1.31378I
a = 0.255955 − 1.010980I
b = −0.20136 − 1.59818I
−7.94125 + 4.99424I 0
u = 0.72800 − 1.31378I
a = 0.255955 + 1.010980I
b = −0.20136 + 1.59818I
−7.94125 − 4.99424I 0
u = 0.09550 + 1.50794I
a = 0.363142 − 0.345910I
b = 0.865257 − 0.533965I
−4.32371 − 4.70566I 0
u = 0.09550 − 1.50794I
a = 0.363142 + 0.345910I
b = 0.865257 + 0.533965I
−4.32371 + 4.70566I 0
u = 0.58023 + 1.39854I
a = −0.333307 − 1.219160I
b = −0.88707 − 1.92612I
−8.2640 + 11.5613I 0
u = 0.58023 − 1.39854I
a = −0.333307 + 1.219160I
b = −0.88707 + 1.92612I
−8.2640 − 11.5613I 0
u = −0.63153 + 1.38691I
a = −0.043485 + 1.149410I
b = −0.68966 + 1.92416I
−6.51467 − 10.82670I 0
u = −0.63153 − 1.38691I
a = −0.043485 − 1.149410I
b = −0.68966 − 1.92416I
−6.51467 + 10.82670I 0
u = −0.58847 + 1.41912I
a = 0.299592 − 1.221220I
b = 0.94418 − 1.96269I
−8.2027 − 20.2163I 0
u = −0.58847 − 1.41912I
a = 0.299592 + 1.221220I
b = 0.94418 + 1.96269I
−8.2027 + 20.2163I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.45748 + 1.46989I
a = 0.502954 + 1.174800I
b = 1.19330 + 1.83621I
−6.61253 + 10.16070I 0
u = 0.45748 − 1.46989I
a = 0.502954 − 1.174800I
b = 1.19330 − 1.83621I
−6.61253 − 10.16070I 0
u = 0.310820 + 0.308657I
a = 0.03495 − 2.33270I
b = 0.780590 − 0.100267I
−3.00308 + 3.55964I −9.14461 − 7.54866I
u = 0.310820 − 0.308657I
a = 0.03495 + 2.33270I
b = 0.780590 + 0.100267I
−3.00308 − 3.55964I −9.14461 + 7.54866I
u = 0.40246 + 1.51659I
a = −0.239997 − 0.600596I
b = 0.165277 − 0.828672I
−9.47807 + 1.09420I 0
u = 0.40246 − 1.51659I
a = −0.239997 + 0.600596I
b = 0.165277 + 0.828672I
−9.47807 − 1.09420I 0
u = 0.323168 + 0.276129I
a = 1.28688 − 0.66363I
b = −0.231336 − 0.218065I
−1.35697 − 0.78698I −4.61483 + 0.I
u = 0.323168 − 0.276129I
a = 1.28688 + 0.66363I
b = −0.231336 + 0.218065I
−1.35697 + 0.78698I −4.61483 + 0.I
u = −0.83498 + 1.34845I
a = −0.258565 − 0.759130I
b = 0.030686 − 1.336400I
−8.79556 + 2.43577I 0
u = −0.83498 − 1.34845I
a = −0.258565 + 0.759130I
b = 0.030686 + 1.336400I
−8.79556 − 2.43577I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.342694 + 0.060758I
a = −1.91156 + 1.21730I
b = 0.043009 + 0.951918I
−1.28324 + 4.45890I −2.67295 − 6.46132I
u = 0.342694 − 0.060758I
a = −1.91156 − 1.21730I
b = 0.043009 − 0.951918I
−1.28324 − 4.45890I −2.67295 + 6.46132I
u = 0.66432 + 1.58517I
a = 0.258644 + 0.807061I
b = 0.82952 + 1.32959I
−4.38043 + 9.74516I 0
u = 0.66432 − 1.58517I
a = 0.258644 − 0.807061I
b = 0.82952 − 1.32959I
−4.38043 − 9.74516I 0
u = 0.001860 + 0.251704I
a = −3.06934 + 1.68254I
b = 1.181710 − 0.337517I
−3.45857 + 5.38370I −2.31636 − 2.96404I
u = 0.001860 − 0.251704I
a = −3.06934 − 1.68254I
b = 1.181710 + 0.337517I
−3.45857 − 5.38370I −2.31636 + 2.96404I
u = −0.37870 + 1.73609I
a = 0.274293 − 0.349257I
b = −0.149930 − 0.504723I
−9.42360 + 6.52384I 0
u = −0.37870 − 1.73609I
a = 0.274293 + 0.349257I
b = −0.149930 + 0.504723I
−9.42360 − 6.52384I 0
u = 1.91147 + 0.31167I
a = 0.337860 + 0.017754I
b = 0.141213 − 0.437150I
0.564712 − 0.995876I 0
u = 1.91147 − 0.31167I
a = 0.337860 − 0.017754I
b = 0.141213 + 0.437150I
0.564712 + 0.995876I 0
20
II.
I
u
2
= h−1.91×10
34
u
40
+4.32×10
34
u
39
+· · ·+1.73×10
34
b+6.15×10
34
, −4.98×
10
33
u
40
−1.51×10
33
u
39
+· · ·+8.64×10
33
a+4.32×10
34
, u
41
−2u
40
+· · ·−7u−1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
5
=
0.576679u
40
+ 0.174671u
39
+ ··· − 41.7184u − 4.99399
1.10424u
40
− 2.49835u
39
+ ··· − 19.7422u − 3.56084
a
9
=
1
−u
2
a
6
=
0.0914809u
40
+ 1.58300u
39
+ ··· − 31.8491u − 2.76118
1.29274u
40
− 2.19655u
39
+ ··· − 22.3226u − 3.99878
a
1
=
u
u
a
4
=
1.06614u
40
− 0.0349515u
39
+ ··· − 52.5161u − 6.61189
1.59370u
40
− 2.70797u
39
+ ··· − 30.5399u − 5.17874
a
2
=
−5.39355u
40
+ 12.9450u
39
+ ··· + 3.59682u − 4.09460
−1.60769u
40
+ 4.86865u
39
+ ··· − 18.2711u − 5.04514
a
7
=
−10.1372u
40
+ 21.5335u
39
+ ··· + 87.3627u + 8.87303
2.09659u
40
− 4.20073u
39
+ ··· − 47.5987u − 8.66112
a
11
=
4.62445u
40
− 11.6106u
39
+ ··· + 16.3273u + 7.42658
0.0845920u
40
− 0.849733u
39
+ ··· + 19.6707u + 3.83661
a
3
=
−5.72204u
40
+ 14.1222u
39
+ ··· + 16.6537u − 2.18064
−0.174254u
40
+ 1.48731u
39
+ ··· − 26.4939u − 6.02517
a
10
=
2.72481u
40
− 5.71934u
39
+ ··· − 36.8874u − 6.16863
−0.897301u
40
+ 0.986169u
39
+ ··· + 19.9870u + 3.87721
(ii) Obstruction class = 1
(iii) Cusp Shapes = −14.4325u
40
+ 34.0396u
39
+ ··· + 18.3069u − 20.7789
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
41
− 9u
40
+ ··· + 104u − 16
c
2
u
41
+ 12u
39
+ ··· − 2u + 1
c
3
u
41
+ u
40
+ ··· − 28u + 19
c
4
u
41
+ 9u
40
+ ··· + 104u + 16
c
5
u
41
− u
40
+ ··· + 43u − 7
c
6
u
41
+ u
40
+ ··· + 2u − 1
c
7
u
41
+ u
40
+ ··· − 64u − 13
c
8
u
41
− 2u
40
+ ··· − 7u − 1
c
9
u
41
+ u
40
+ ··· + 43u + 7
c
10
u
41
+ 4u
40
+ ··· + u + 1
c
11
u
41
+ u
40
+ ··· + 72u − 16
c
12
u
41
+ 2u
40
+ ··· − 7u + 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
41
+ 31y
40
+ ··· − 6336y −256
c
2
y
41
+ 24y
40
+ ··· − 6y −1
c
3
y
41
+ 13y
40
+ ··· + 2684y −361
c
5
, c
9
y
41
− 39y
40
+ ··· + 1513y −49
c
6
y
41
− 9y
40
+ ··· − 18y −1
c
7
y
41
+ 25y
40
+ ··· − 14026y −169
c
8
, c
12
y
41
+ 22y
40
+ ··· − 15y −1
c
10
y
41
+ 2y
40
+ ··· − 9y −1
c
11
y
41
− 11y
40
+ ··· + 4928y −256
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.653673 + 0.770366I
a = −0.928968 + 1.004440I
b = −0.52315 + 1.53397I
−5.36063 + 1.82344I −1.93006 − 8.65844I
u = 0.653673 − 0.770366I
a = −0.928968 − 1.004440I
b = −0.52315 − 1.53397I
−5.36063 − 1.82344I −1.93006 + 8.65844I
u = −0.128068 + 0.981348I
a = 0.004238 + 0.701217I
b = 1.32562 + 1.38547I
−4.62644 − 5.92395I −8.64477 + 6.04384I
u = −0.128068 − 0.981348I
a = 0.004238 − 0.701217I
b = 1.32562 − 1.38547I
−4.62644 + 5.92395I −8.64477 − 6.04384I
u = −0.404106 + 0.865537I
a = 1.72376 + 1.97330I
b = 0.91738 + 2.63983I
−5.06376 − 9.09405I −3.93908 + 10.44163I
u = −0.404106 − 0.865537I
a = 1.72376 − 1.97330I
b = 0.91738 − 2.63983I
−5.06376 + 9.09405I −3.93908 − 10.44163I
u = 0.946334 + 0.012439I
a = −0.905222 − 0.692734I
b = −0.441836 + 0.545756I
−1.32955 − 4.11472I −3.91875 + 3.97414I
u = 0.946334 − 0.012439I
a = −0.905222 + 0.692734I
b = −0.441836 − 0.545756I
−1.32955 + 4.11472I −3.91875 − 3.97414I
u = −0.399603 + 1.035580I
a = 0.321001 − 0.617956I
b = 0.93000 − 1.79326I
−1.54349 − 5.19906I −7.67105 + 8.93966I
u = −0.399603 − 1.035580I
a = 0.321001 + 0.617956I
b = 0.93000 + 1.79326I
−1.54349 + 5.19906I −7.67105 − 8.93966I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.160940 + 0.836515I
a = −0.604184 + 1.174570I
b = 0.15630 + 2.15428I
−1.77117 + 4.89244I −6.39905 − 8.05871I
u = 0.160940 − 0.836515I
a = −0.604184 − 1.174570I
b = 0.15630 − 2.15428I
−1.77117 − 4.89244I −6.39905 + 8.05871I
u = −0.007823 + 1.153970I
a = 0.764588 − 0.076128I
b = −0.671638 + 0.130451I
−5.51927 + 5.01766I −9.27336 − 3.26638I
u = −0.007823 − 1.153970I
a = 0.764588 + 0.076128I
b = −0.671638 − 0.130451I
−5.51927 − 5.01766I −9.27336 + 3.26638I
u = 0.011870 + 1.204260I
a = −0.189739 − 0.882905I
b = 0.66312 − 1.68206I
−5.81721 − 1.98084I −13.17545 + 1.19110I
u = 0.011870 − 1.204260I
a = −0.189739 + 0.882905I
b = 0.66312 + 1.68206I
−5.81721 + 1.98084I −13.17545 − 1.19110I
u = 0.754492
a = −1.44952
b = −0.486032
−4.73364 −8.25260
u = −0.430176 + 1.238830I
a = −0.025175 − 1.005670I
b = 0.75219 − 1.64329I
−0.04165 − 6.50234I 0
u = −0.430176 − 1.238830I
a = −0.025175 + 1.005670I
b = 0.75219 + 1.64329I
−0.04165 + 6.50234I 0
u = −0.042069 + 1.361190I
a = −0.323396 − 0.397069I
b = −0.668081 − 0.270937I
−4.14046 − 3.97453I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.042069 − 1.361190I
a = −0.323396 + 0.397069I
b = −0.668081 + 0.270937I
−4.14046 + 3.97453I 0
u = −0.311164 + 0.551974I
a = 1.42786 − 0.68868I
b = −0.803556 − 0.349495I
−0.00208 + 1.91158I 3.45417 − 0.10204I
u = −0.311164 − 0.551974I
a = 1.42786 + 0.68868I
b = −0.803556 + 0.349495I
−0.00208 − 1.91158I 3.45417 + 0.10204I
u = 0.268025 + 1.370370I
a = −0.91565 − 1.29508I
b = −1.36884 − 1.52178I
−8.12096 + 2.25189I 0
u = 0.268025 − 1.370370I
a = −0.91565 + 1.29508I
b = −1.36884 + 1.52178I
−8.12096 − 2.25189I 0
u = 0.308115 + 1.366570I
a = −0.390102 − 1.022600I
b = −0.10536 − 1.73827I
−9.47232 + 3.78088I 0
u = 0.308115 − 1.366570I
a = −0.390102 + 1.022600I
b = −0.10536 + 1.73827I
−9.47232 − 3.78088I 0
u = −1.46734 + 0.23034I
a = 0.234414 − 0.174882I
b = 0.019798 + 0.446854I
4.15259 + 0.71042I 0
u = −1.46734 − 0.23034I
a = 0.234414 + 0.174882I
b = 0.019798 − 0.446854I
4.15259 − 0.71042I 0
u = −0.06441 + 1.53517I
a = 1.323460 − 0.282166I
b = 1.85061 − 0.24572I
−8.02190 + 6.16209I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.06441 − 1.53517I
a = 1.323460 + 0.282166I
b = 1.85061 + 0.24572I
−8.02190 − 6.16209I 0
u = 0.54406 + 1.43865I
a = −0.294156 − 1.143990I
b = −0.94120 − 1.81765I
−5.98246 + 9.81475I 0
u = 0.54406 − 1.43865I
a = −0.294156 + 1.143990I
b = −0.94120 + 1.81765I
−5.98246 − 9.81475I 0
u = −0.132473 + 0.411596I
a = 3.42549 − 0.14673I
b = 0.259425 + 0.497644I
3.88970 + 3.58530I −12.2058 − 13.6470I
u = −0.132473 − 0.411596I
a = 3.42549 + 0.14673I
b = 0.259425 − 0.497644I
3.88970 − 3.58530I −12.2058 + 13.6470I
u = −0.275375 + 0.330192I
a = 0.668299 + 0.649597I
b = −0.973512 + 0.297420I
−2.24908 + 1.34917I −17.5370 − 4.7980I
u = −0.275375 − 0.330192I
a = 0.668299 − 0.649597I
b = −0.973512 − 0.297420I
−2.24908 − 1.34917I −17.5370 + 4.7980I
u = −0.345825 + 0.167545I
a = 1.13929 − 2.38510I
b = −1.019320 + 0.077077I
−0.00099 + 2.03436I 1.52306 − 3.75822I
u = −0.345825 − 0.167545I
a = 1.13929 + 2.38510I
b = −1.019320 − 0.077077I
−0.00099 − 2.03436I 1.52306 + 3.75822I
u = 1.73816 + 0.16506I
a = 0.268942 − 0.181667I
b = 0.385064 + 0.374805I
0.880460 − 0.443974I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.73816 − 0.16506I
a = 0.268942 + 0.181667I
b = 0.385064 − 0.374805I
0.880460 + 0.443974I 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
41
− 9u
40
+ ··· + 104u − 16)(u
160
+ 4u
159
+ ··· − 7828u + 1444)
c
2
(u
41
+ 12u
39
+ ··· − 2u + 1)(u
160
+ 3u
159
+ ··· + 341146u + 46381)
c
3
(u
41
+ u
40
+ ··· − 28u + 19)
· (u
160
− 18u
158
+ ··· + 706845372u + 100225917)
c
4
(u
41
+ 9u
40
+ ··· + 104u + 16)(u
160
+ 4u
159
+ ··· − 7828u + 1444)
c
5
(u
41
− u
40
+ ··· + 43u − 7)(u
160
+ 2u
159
+ ··· + 6873u + 279)
c
6
(u
41
+ u
40
+ ··· + 2u − 1)(u
160
+ 8u
159
+ ··· + 40554u + 6463)
c
7
(u
41
+ u
40
+ ··· − 64u − 13)
· (u
160
+ 2u
159
+ ··· + 528175038798u + 68942737333)
c
8
(u
41
− 2u
40
+ ··· − 7u − 1)(u
160
+ u
159
+ ··· + 330465u + 18167)
c
9
(u
41
+ u
40
+ ··· + 43u + 7)(u
160
+ 2u
159
+ ··· + 6873u + 279)
c
10
(u
41
+ 4u
40
+ ··· + u + 1)(u
160
− 3u
159
+ ··· + 23u + 19)
c
11
(u
41
+ u
40
+ ··· + 72u − 16)
· (u
160
− 28u
158
+ ··· − 135828304u + 2699248)
c
12
(u
41
+ 2u
40
+ ··· − 7u + 1)(u
160
+ u
159
+ ··· + 330465u + 18167)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
41
+ 31y
40
+ ··· − 6336y −256)
· (y
160
+ 94y
159
+ ··· + 135556944y + 2085136)
c
2
(y
41
+ 24y
40
+ ··· − 6y −1)
· (y
160
+ 55y
159
+ ··· + 289002611650y + 2151197161)
c
3
(y
41
+ 13y
40
+ ··· + 2684y −361)
· (y
160
− 36y
159
+ ··· + 235215438020548344y + 10045234438490889)
c
5
, c
9
(y
41
− 39y
40
+ ··· + 1513y −49)
· (y
160
− 148y
159
+ ··· − 15857325y + 77841)
c
6
(y
41
− 9y
40
+ ··· − 18y −1)
· (y
160
− 38y
159
+ ··· + 4276709054y + 41770369)
c
7
(y
41
+ 25y
40
+ ··· − 14026y −169)
· (y
160
+ 80y
159
+ ··· + 2.79 × 10
23
y + 4.75 × 10
21
)
c
8
, c
12
(y
41
+ 22y
40
+ ··· − 15y −1)
· (y
160
+ 105y
159
+ ··· + 15360514711y + 330039889)
c
10
(y
41
+ 2y
40
+ ··· − 9y −1)(y
160
+ 13y
159
+ ··· + 34469y + 361)
c
11
(y
41
− 11y
40
+ ··· + 4928y −256)
· (y
160
− 56y
159
+ ··· − 10507054762812928y + 7285939765504)
32
