11a
233
(K11a
233
)
A knot diagram
1
Linearized knot diagam
7 1 9 8 3 10 2 11 6 4 5
Solving Sequence
1,7
2 3
5,8
4 11 9 10 6
c
1
c
2
c
7
c
4
c
11
c
8
c
10
c
6
c
3
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.27632 × 10
208
u
109
+ 1.94112 × 10
208
u
108
+ ··· + 4.24838 × 10
207
b + 1.02341 × 10
210
,
− 3.37601 × 10
209
u
109
+ 7.54876 × 10
209
u
108
+ ··· + 2.08171 × 10
209
a − 4.18256 × 10
210
,
u
110
− 25u
108
+ ··· − 111u − 49i
I
u
2
= h−u
23
− u
22
+ ··· + b + 1, 213u
23
+ 206u
22
+ ··· + 19a − 309, u
24
+ u
23
+ ··· − 4u − 1i
* 2 irreducible components of dim
C
= 0, with total 134 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−2.28 × 10
208
u
109
+ 1.94 × 10
208
u
108
+ · · · + 4.25 × 10
207
b + 1.02 ×
10
210
, −3.38 × 10
209
u
109
+ 7.55 × 10
209
u
108
+ · · · + 2.08 × 10
209
a − 4.18 ×
10
210
, u
110
− 25u
108
+ · · · − 111u − 49i
(i) Arc colorings
a
1
=
1
0
a
7
=
0
u
a
2
=
1
u
2
a
3
=
−u
2
+ 1
u
2
a
5
=
1.62175u
109
− 3.62623u
108
+ ··· − 57.1057u + 20.0920
5.35809u
109
− 4.56908u
108
+ ··· − 399.860u − 240.893
a
8
=
−u
−u
3
+ u
a
4
=
−1.91012u
109
− 0.808931u
108
+ ··· + 191.146u + 188.961
7.74510u
109
− 7.62401u
108
+ ··· − 508.453u − 271.714
a
11
=
−6.62292u
109
+ 6.81033u
108
+ ··· + 447.228u + 250.503
3.00556u
109
− 6.70861u
108
+ ··· − 105.567u + 75.2016
a
9
=
8.05410u
109
− 8.44201u
108
+ ··· − 548.617u − 273.571
−1.92264u
109
+ 8.03692u
108
+ ··· − 20.2333u − 246.169
a
10
=
−5.59038u
109
+ 4.91305u
108
+ ··· + 389.785u + 244.009
4.07996u
109
− 8.62390u
108
+ ··· − 159.703u + 79.3119
a
6
=
−1.66281u
109
− 0.839116u
108
+ ··· + 171.874u + 172.557
7.01460u
109
− 7.18860u
108
+ ··· − 461.032u − 232.681
a
6
=
−1.66281u
109
− 0.839116u
108
+ ··· + 171.874u + 172.557
7.01460u
109
− 7.18860u
108
+ ··· − 461.032u − 232.681
(ii) Obstruction class = −1
(iii) Cusp Shapes = −8.45708u
109
+ 8.40205u
108
+ ··· + 589.854u + 392.471
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
110
− 25u
108
+ ··· + 111u − 49
c
2
u
110
+ 50u
109
+ ··· + 26237u + 2401
c
3
u
110
− u
109
+ ··· − 33999u − 6849
c
4
u
110
− 3u
109
+ ··· − 41u − 1
c
5
u
110
− 7u
109
+ ··· − 126089u − 152261
c
6
, c
9
u
110
− 33u
108
+ ··· − 32u + 1133
c
8
u
110
− 9u
109
+ ··· + 21u − 1
c
10
u
110
+ 3u
109
+ ··· − 37u + 1
c
11
u
110
− 5u
108
+ ··· + 5654u − 1721
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
110
− 50y
109
+ ··· − 26237y + 2401
c
2
y
110
+ 30y
109
+ ··· − 18049781y + 5764801
c
3
y
110
+ 21y
109
+ ··· + 2263623021y + 46908801
c
4
y
110
+ y
109
+ ··· − 205y + 1
c
5
y
110
− 35y
109
+ ··· + 362704631019y + 23183412121
c
6
, c
9
y
110
− 66y
109
+ ··· − 31330740y + 1283689
c
8
y
110
+ y
109
+ ··· + 19y + 1
c
10
y
110
+ 5y
109
+ ··· − 129y + 1
c
11
y
110
− 10y
109
+ ··· − 173719602y + 2961841
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.877207 + 0.464777I
a = −1.63345 − 0.65594I
b = −0.30513 + 2.32582I
−2.81741 + 1.89701I 0
u = −0.877207 − 0.464777I
a = −1.63345 + 0.65594I
b = −0.30513 − 2.32582I
−2.81741 − 1.89701I 0
u = −0.906253 + 0.459377I
a = −0.216830 − 0.375187I
b = 0.074681 − 1.025680I
−1.38141 + 4.57448I 0
u = −0.906253 − 0.459377I
a = −0.216830 + 0.375187I
b = 0.074681 + 1.025680I
−1.38141 − 4.57448I 0
u = 0.779379 + 0.592089I
a = −1.16698 − 1.53479I
b = 0.815736 − 0.623391I
4.64623 − 0.04743I 0
u = 0.779379 − 0.592089I
a = −1.16698 + 1.53479I
b = 0.815736 + 0.623391I
4.64623 + 0.04743I 0
u = −0.862031 + 0.455176I
a = 0.603643 − 0.885853I
b = 0.378364 − 1.127920I
−1.23201 − 0.85043I 0
u = −0.862031 − 0.455176I
a = 0.603643 + 0.885853I
b = 0.378364 + 1.127920I
−1.23201 + 0.85043I 0
u = 0.498633 + 0.834333I
a = −1.24445 − 1.05722I
b = 1.30739 + 0.77834I
2.08576 + 6.71841I 0
u = 0.498633 − 0.834333I
a = −1.24445 + 1.05722I
b = 1.30739 − 0.77834I
2.08576 − 6.71841I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.919272 + 0.312694I
a = 2.30721 − 0.99992I
b = −1.27590 − 1.00769I
0.29208 − 3.63942I 0
u = −0.919272 − 0.312694I
a = 2.30721 + 0.99992I
b = −1.27590 + 1.00769I
0.29208 + 3.63942I 0
u = 0.894461 + 0.341485I
a = −0.458154 − 0.689277I
b = 0.790844 + 0.231478I
−1.66024 − 0.89300I 0
u = 0.894461 − 0.341485I
a = −0.458154 + 0.689277I
b = 0.790844 − 0.231478I
−1.66024 + 0.89300I 0
u = 0.699495 + 0.780649I
a = 1.198460 − 0.366427I
b = −0.793614 − 0.327881I
6.12266 + 3.41032I 0
u = 0.699495 − 0.780649I
a = 1.198460 + 0.366427I
b = −0.793614 + 0.327881I
6.12266 − 3.41032I 0
u = 0.908401 + 0.528181I
a = −2.28390 − 0.15768I
b = 0.732017 − 0.538186I
−0.65779 − 5.16179I 0
u = 0.908401 − 0.528181I
a = −2.28390 + 0.15768I
b = 0.732017 + 0.538186I
−0.65779 + 5.16179I 0
u = −0.450080 + 0.954070I
a = −1.21322 + 0.77988I
b = 1.31650 − 0.83984I
6.1363 − 12.7818I 0
u = −0.450080 − 0.954070I
a = −1.21322 − 0.77988I
b = 1.31650 + 0.83984I
6.1363 + 12.7818I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.933669 + 0.499305I
a = 1.95385 + 0.36470I
b = −1.00796 + 1.26733I
−2.36919 − 2.67543I 0
u = 0.933669 − 0.499305I
a = 1.95385 − 0.36470I
b = −1.00796 − 1.26733I
−2.36919 + 2.67543I 0
u = −0.928488 + 0.102480I
a = 1.60356 − 0.71634I
b = 0.492832 − 0.757582I
1.78332 − 2.50693I 0
u = −0.928488 − 0.102480I
a = 1.60356 + 0.71634I
b = 0.492832 + 0.757582I
1.78332 + 2.50693I 0
u = 1.015960 + 0.327336I
a = 0.403514 − 0.415868I
b = 0.712743 + 0.871977I
−1.96403 − 0.96664I 0
u = 1.015960 − 0.327336I
a = 0.403514 + 0.415868I
b = 0.712743 − 0.871977I
−1.96403 + 0.96664I 0
u = 0.906000 + 0.578199I
a = 1.032450 + 0.199832I
b = −1.186720 − 0.508749I
4.25014 − 4.59723I 0
u = 0.906000 − 0.578199I
a = 1.032450 − 0.199832I
b = −1.186720 + 0.508749I
4.25014 + 4.59723I 0
u = −1.069320 + 0.108926I
a = −0.483978 + 0.417342I
b = 0.183669 + 1.073570I
−5.09720 + 2.43411I 0
u = −1.069320 − 0.108926I
a = −0.483978 − 0.417342I
b = 0.183669 − 1.073570I
−5.09720 − 2.43411I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.768096 + 0.504247I
a = 1.10361 + 1.56209I
b = −0.403494 − 0.242985I
−0.213297 + 0.928435I 0
u = 0.768096 − 0.504247I
a = 1.10361 − 1.56209I
b = −0.403494 + 0.242985I
−0.213297 − 0.928435I 0
u = −0.693726 + 0.829558I
a = −0.779769 + 1.106130I
b = 1.31216 − 0.72509I
7.43132 − 0.79593I 0
u = −0.693726 − 0.829558I
a = −0.779769 − 1.106130I
b = 1.31216 + 0.72509I
7.43132 + 0.79593I 0
u = 0.523668 + 0.741211I
a = 1.12373 + 0.96400I
b = −1.42277 − 1.05594I
6.62680 + 3.46904I 0
u = 0.523668 − 0.741211I
a = 1.12373 − 0.96400I
b = −1.42277 + 1.05594I
6.62680 − 3.46904I 0
u = 0.378004 + 0.807900I
a = −0.378489 + 0.463144I
b = 0.682090 − 0.070661I
1.72185 − 3.26106I 0
u = 0.378004 − 0.807900I
a = −0.378489 − 0.463144I
b = 0.682090 + 0.070661I
1.72185 + 3.26106I 0
u = −0.795267 + 0.389203I
a = 1.76374 − 0.04444I
b = −1.208800 + 0.171994I
2.92619 − 0.62432I 0
u = −0.795267 − 0.389203I
a = 1.76374 + 0.04444I
b = −1.208800 − 0.171994I
2.92619 + 0.62432I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.963056 + 0.572158I
a = −0.92650 + 1.41091I
b = 0.749621 + 0.384131I
1.67436 + 4.68049I 0
u = −0.963056 − 0.572158I
a = −0.92650 − 1.41091I
b = 0.749621 − 0.384131I
1.67436 − 4.68049I 0
u = −0.449330 + 1.028380I
a = −0.468032 + 0.389341I
b = 0.773402 − 0.518641I
4.82382 − 4.21742I 0
u = −0.449330 − 1.028380I
a = −0.468032 − 0.389341I
b = 0.773402 + 0.518641I
4.82382 + 4.21742I 0
u = 0.977137 + 0.554900I
a = −0.975120 + 0.865655I
b = −0.82789 − 2.04963I
1.86655 − 8.96327I 0
u = 0.977137 − 0.554900I
a = −0.975120 − 0.865655I
b = −0.82789 + 2.04963I
1.86655 + 8.96327I 0
u = 0.347166 + 0.792807I
a = 1.176620 − 0.063753I
b = −1.353060 + 0.254781I
5.78414 − 0.80826I 0
u = 0.347166 − 0.792807I
a = 1.176620 + 0.063753I
b = −1.353060 − 0.254781I
5.78414 + 0.80826I 0
u = 1.077080 + 0.357090I
a = 0.496904 + 0.747927I
b = 0.562525 + 1.139530I
−1.19948 + 1.82986I 0
u = 1.077080 − 0.357090I
a = 0.496904 − 0.747927I
b = 0.562525 − 1.139530I
−1.19948 − 1.82986I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.554814 + 1.000080I
a = 1.093360 + 0.477457I
b = −0.980163 − 0.369618I
2.97612 + 3.19519I 0
u = 0.554814 − 1.000080I
a = 1.093360 − 0.477457I
b = −0.980163 + 0.369618I
2.97612 − 3.19519I 0
u = −1.149670 + 0.046838I
a = −0.399836 + 0.038087I
b = −0.692479 + 0.940995I
−3.72221 − 4.85234I 0
u = −1.149670 − 0.046838I
a = −0.399836 − 0.038087I
b = −0.692479 − 0.940995I
−3.72221 + 4.85234I 0
u = −0.310587 + 0.786939I
a = 1.51809 − 0.41405I
b = −0.953194 + 0.420891I
1.63201 − 1.67537I 0
u = −0.310587 − 0.786939I
a = 1.51809 + 0.41405I
b = −0.953194 − 0.420891I
1.63201 + 1.67537I 0
u = 0.657188 + 0.523339I
a = −1.76810 + 0.26229I
b = 0.25935 − 1.89224I
2.86926 + 4.53794I 0
u = 0.657188 − 0.523339I
a = −1.76810 − 0.26229I
b = 0.25935 + 1.89224I
2.86926 − 4.53794I 0
u = −0.576594 + 0.605519I
a = 1.356830 + 0.270002I
b = −0.953112 + 0.084959I
2.76606 − 0.05036I 0
u = −0.576594 − 0.605519I
a = 1.356830 − 0.270002I
b = −0.953112 − 0.084959I
2.76606 + 0.05036I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.052560 + 0.500476I
a = −2.18256 + 1.04458I
b = 0.709599 + 0.809395I
−0.29158 + 8.70811I 0
u = −1.052560 − 0.500476I
a = −2.18256 − 1.04458I
b = 0.709599 − 0.809395I
−0.29158 − 8.70811I 0
u = −1.062770 + 0.482900I
a = −0.855928 + 0.673982I
b = 0.585258 − 0.115320I
−0.74609 + 5.32896I 0
u = −1.062770 − 0.482900I
a = −0.855928 − 0.673982I
b = 0.585258 + 0.115320I
−0.74609 − 5.32896I 0
u = −1.072460 + 0.462666I
a = −1.12860 + 1.34169I
b = 1.45190 + 0.29838I
−0.96350 + 5.88120I 0
u = −1.072460 − 0.462666I
a = −1.12860 − 1.34169I
b = 1.45190 − 0.29838I
−0.96350 − 5.88120I 0
u = −1.096870 + 0.405245I
a = −0.295230 + 1.369570I
b = 1.046210 + 0.360865I
1.77521 + 3.72119I 0
u = −1.096870 − 0.405245I
a = −0.295230 − 1.369570I
b = 1.046210 − 0.360865I
1.77521 − 3.72119I 0
u = −0.665044 + 0.962961I
a = −0.869511 − 0.020998I
b = 1.001420 + 0.089018I
7.39423 + 7.45324I 0
u = −0.665044 − 0.962961I
a = −0.869511 + 0.020998I
b = 1.001420 − 0.089018I
7.39423 − 7.45324I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.986287 + 0.678798I
a = −1.04231 − 1.40120I
b = 0.591393 − 0.442123I
5.22686 − 8.92615I 0
u = 0.986287 − 0.678798I
a = −1.04231 + 1.40120I
b = 0.591393 + 0.442123I
5.22686 + 8.92615I 0
u = −0.985417 + 0.709019I
a = 1.66661 − 0.54822I
b = −1.37059 − 1.09406I
6.52722 + 6.52907I 0
u = −0.985417 − 0.709019I
a = 1.66661 + 0.54822I
b = −1.37059 + 1.09406I
6.52722 − 6.52907I 0
u = 1.053980 + 0.616473I
a = −1.80894 − 1.12112I
b = 1.34053 − 1.41758I
5.04421 − 8.64823I 0
u = 1.053980 − 0.616473I
a = −1.80894 + 1.12112I
b = 1.34053 + 1.41758I
5.04421 + 8.64823I 0
u = 1.155080 + 0.419124I
a = −0.317358 + 0.478355I
b = −0.229713 + 0.381420I
−1.01670 − 1.54579I 0
u = 1.155080 − 0.419124I
a = −0.317358 − 0.478355I
b = −0.229713 − 0.381420I
−1.01670 + 1.54579I 0
u = −0.240009 + 0.729450I
a = 1.68755 − 0.37006I
b = −1.008390 + 0.326940I
1.63442 − 1.65219I 0
u = −0.240009 − 0.729450I
a = 1.68755 + 0.37006I
b = −1.008390 − 0.326940I
1.63442 + 1.65219I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.248160 + 0.167187I
a = −0.047582 + 0.185630I
b = 0.448747 + 0.739145I
−3.48242 − 1.40017I 0
u = 1.248160 − 0.167187I
a = −0.047582 − 0.185630I
b = 0.448747 − 0.739145I
−3.48242 + 1.40017I 0
u = −1.121870 + 0.588574I
a = −1.47537 + 0.92778I
b = 1.095070 + 0.694208I
−0.67710 + 6.80491I 0
u = −1.121870 − 0.588574I
a = −1.47537 − 0.92778I
b = 1.095070 − 0.694208I
−0.67710 − 6.80491I 0
u = 1.094930 + 0.652502I
a = 1.67330 + 0.85538I
b = −1.41731 + 1.03818I
0.28908 − 12.26980I 0
u = 1.094930 − 0.652502I
a = 1.67330 − 0.85538I
b = −1.41731 − 1.03818I
0.28908 + 12.26980I 0
u = 1.034360 + 0.780990I
a = 0.759324 − 0.098673I
b = −0.279493 + 0.935535I
−1.11477 − 3.22039I 0
u = 1.034360 − 0.780990I
a = 0.759324 + 0.098673I
b = −0.279493 − 0.935535I
−1.11477 + 3.22039I 0
u = 1.163950 + 0.597229I
a = −0.370407 − 1.011620I
b = 1.262770 − 0.100850I
3.34906 − 4.44237I 0
u = 1.163950 − 0.597229I
a = −0.370407 + 1.011620I
b = 1.262770 + 0.100850I
3.34906 + 4.44237I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.022390 + 0.825318I
a = 0.680590 − 0.651676I
b = −0.798900 − 0.226839I
6.31501 − 1.00722I 0
u = −1.022390 − 0.825318I
a = 0.680590 + 0.651676I
b = −0.798900 + 0.226839I
6.31501 + 1.00722I 0
u = −0.640270 + 0.212677I
a = 2.69349 − 1.83709I
b = −0.127581 + 0.488768I
1.54328 − 4.98644I 2.45007 + 8.52020I
u = −0.640270 − 0.212677I
a = 2.69349 + 1.83709I
b = −0.127581 − 0.488768I
1.54328 + 4.98644I 2.45007 − 8.52020I
u = −1.154350 + 0.677211I
a = 1.53961 − 0.91183I
b = −1.36470 − 1.04606I
3.9763 + 18.7296I 0
u = −1.154350 − 0.677211I
a = 1.53961 + 0.91183I
b = −1.36470 + 1.04606I
3.9763 − 18.7296I 0
u = 1.124100 + 0.727802I
a = −1.31702 − 0.62337I
b = 1.078770 − 0.606118I
1.19179 − 9.44841I 0
u = 1.124100 − 0.727802I
a = −1.31702 + 0.62337I
b = 1.078770 + 0.606118I
1.19179 + 9.44841I 0
u = 1.342090 + 0.044214I
a = −0.254009 − 0.071336I
b = −0.863754 − 0.749048I
−0.45665 + 9.74950I 0
u = 1.342090 − 0.044214I
a = −0.254009 + 0.071336I
b = −0.863754 + 0.749048I
−0.45665 − 9.74950I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.226007 + 0.599739I
a = 1.40029 + 0.22082I
b = −0.343438 + 0.044030I
1.50056 − 1.22933I 2.23781 + 0.32389I
u = −0.226007 − 0.599739I
a = 1.40029 − 0.22082I
b = −0.343438 − 0.044030I
1.50056 + 1.22933I 2.23781 − 0.32389I
u = −1.166200 + 0.701935I
a = 0.941883 − 0.444923I
b = −0.779786 − 0.885221I
2.61479 + 10.42400I 0
u = −1.166200 − 0.701935I
a = 0.941883 + 0.444923I
b = −0.779786 + 0.885221I
2.61479 − 10.42400I 0
u = 0.349015 + 0.346255I
a = 0.11626 − 1.61513I
b = 0.318522 + 0.666891I
−1.28138 − 1.05196I −4.47244 + 2.63035I
u = 0.349015 − 0.346255I
a = 0.11626 + 1.61513I
b = 0.318522 − 0.666891I
−1.28138 + 1.05196I −4.47244 − 2.63035I
u = −1.52087
a = −0.0990714
b = 0.528154
−5.00608 0
u = −0.073335 + 0.398555I
a = 2.33561 + 0.83813I
b = −0.285624 + 1.008580I
1.75925 − 4.87207I 2.70094 + 7.09838I
u = −0.073335 − 0.398555I
a = 2.33561 − 0.83813I
b = −0.285624 − 1.008580I
1.75925 + 4.87207I 2.70094 − 7.09838I
u = 1.63949
a = −0.148064
b = −0.209215
−2.92394 0
15
II. I
u
2
=
h−u
23
−u
22
+· · ·+b+1, 213u
23
+206u
22
+· · ·+19a−309, u
24
+u
23
+· · ·−4u−1i
(i) Arc colorings
a
1
=
1
0
a
7
=
0
u
a
2
=
1
u
2
a
3
=
−u
2
+ 1
u
2
a
5
=
−11.2105u
23
− 10.8421u
22
+ ··· + 2.47368u + 16.2632
u
23
+ u
22
+ ··· − u
3
− 1
a
8
=
−u
−u
3
+ u
a
4
=
−7.36842u
23
− 5.47368u
22
+ ··· + 13.5789u + 16.2105
−2.26316u
23
− 3.05263u
22
+ ··· − 1.15789u + 0.578947
a
11
=
17.8947u
23
+ 19.5789u
22
+ ··· − 16.2632u − 17.3684
2u
23
+ 2u
22
+ ··· + 9u + 2
a
9
=
u
23
+ 10u
22
+ ··· + 43u + 12
2.36842u
23
+ 1.47368u
22
+ ··· + 5.42105u − 3.21053
a
10
=
5.26316u
23
+ 9.05263u
22
+ ··· + 11.1579u − 5.57895
1.10526u
23
+ 0.421053u
22
+ ··· − 9.73684u − 2.63158
a
6
=
−7.36842u
23
− 5.47368u
22
+ ··· + 13.5789u + 15.2105
−3.94737u
23
− 5.78947u
22
+ ··· − 2.36842u − 1.31579
a
6
=
−7.36842u
23
− 5.47368u
22
+ ··· + 13.5789u + 15.2105
−3.94737u
23
− 5.78947u
22
+ ··· − 2.36842u − 1.31579
(ii) Obstruction class = 1
(iii) Cusp Shapes =
61
19
u
23
−
22
19
u
22
+ ··· −
446
19
u −
290
19
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
24
+ u
23
+ ··· − 4u − 1
c
2
u
24
+ 15u
23
+ ··· + 20u + 1
c
3
u
24
− 4u
22
+ ··· − 7u
2
− 1
c
4
u
24
+ 2u
21
+ ··· + 6u
2
− 1
c
5
u
24
− 8u
23
+ ··· + 2u − 1
c
6
u
24
− u
23
+ ··· − u + 1
c
7
u
24
− u
23
+ ··· + 4u − 1
c
8
u
24
− 4u
23
+ ··· + 2u
2
− 1
c
9
u
24
+ u
23
+ ··· + u + 1
c
10
u
24
+ 2u
22
+ ··· + 2u
2
+ 1
c
11
u
24
− u
23
+ ··· − 5u + 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
24
− 15y
23
+ ··· − 20y + 1
c
2
y
24
− 3y
23
+ ··· − 48y + 1
c
3
y
24
− 8y
23
+ ··· + 14y + 1
c
4
y
24
+ 22y
22
+ ··· − 12y + 1
c
5
y
24
+ 6y
22
+ ··· + 16y + 1
c
6
, c
9
y
24
− 11y
23
+ ··· − 23y + 1
c
8
y
24
− 12y
23
+ ··· − 4y + 1
c
10
y
24
+ 4y
23
+ ··· + 4y + 1
c
11
y
24
+ 13y
23
+ ··· − 17y + 1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.961540 + 0.324381I
a = 0.208085 + 1.144620I
b = 0.442192 + 0.967157I
−2.24478 + 1.21499I −7.92334 − 1.43420I
u = 0.961540 − 0.324381I
a = 0.208085 − 1.144620I
b = 0.442192 − 0.967157I
−2.24478 − 1.21499I −7.92334 + 1.43420I
u = 0.892664 + 0.380781I
a = 1.65001 − 0.59564I
b = 0.23059 + 2.03345I
−3.23367 − 1.58563I −12.12086 − 2.46911I
u = 0.892664 − 0.380781I
a = 1.65001 + 0.59564I
b = 0.23059 − 2.03345I
−3.23367 + 1.58563I −12.12086 + 2.46911I
u = 0.623098 + 0.828332I
a = 0.612078 + 0.279702I
b = −0.751668 − 0.641408I
5.06464 + 3.02635I 3.34483 − 2.15323I
u = 0.623098 − 0.828332I
a = 0.612078 − 0.279702I
b = −0.751668 + 0.641408I
5.06464 − 3.02635I 3.34483 + 2.15323I
u = −1.001840 + 0.322771I
a = −0.17729 + 1.57604I
b = 0.560177 − 0.727103I
0.59195 + 6.60993I 0.94676 − 9.25140I
u = −1.001840 − 0.322771I
a = −0.17729 − 1.57604I
b = 0.560177 + 0.727103I
0.59195 − 6.60993I 0.94676 + 9.25140I
u = 0.897988 + 0.262907I
a = −0.971959 + 0.460730I
b = −0.121570 + 0.856122I
−1.90223 − 3.65372I −4.93874 + 1.94442I
u = 0.897988 − 0.262907I
a = −0.971959 − 0.460730I
b = −0.121570 − 0.856122I
−1.90223 + 3.65372I −4.93874 − 1.94442I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.438159 + 0.817215I
a = 1.53700 − 0.49507I
b = −0.818325 + 0.359525I
1.88279 − 2.28848I 2.76403 + 7.78053I
u = −0.438159 − 0.817215I
a = 1.53700 + 0.49507I
b = −0.818325 − 0.359525I
1.88279 + 2.28848I 2.76403 − 7.78053I
u = −0.853505 + 0.312541I
a = 2.70499 − 0.98940I
b = −0.411010 − 1.224670I
1.13728 − 3.97909I 0.40364 + 4.38191I
u = −0.853505 − 0.312541I
a = 2.70499 + 0.98940I
b = −0.411010 + 1.224670I
1.13728 + 3.97909I 0.40364 − 4.38191I
u = 1.014300 + 0.661581I
a = −1.42783 − 0.61492I
b = 0.657688 − 1.132690I
3.87513 − 8.58418I 0.60808 + 7.82779I
u = 1.014300 − 0.661581I
a = −1.42783 + 0.61492I
b = 0.657688 + 1.132690I
3.87513 + 8.58418I 0.60808 − 7.82779I
u = −1.082920 + 0.582065I
a = −1.71488 + 0.85787I
b = 0.954611 + 0.627912I
−0.07044 + 7.43879I 2.45661 − 8.35379I
u = −1.082920 − 0.582065I
a = −1.71488 − 0.85787I
b = 0.954611 − 0.627912I
−0.07044 − 7.43879I 2.45661 + 8.35379I
u = −1.027780 + 0.714936I
a = −0.888542 + 0.014176I
b = 0.417891 + 1.004570I
−1.07995 + 3.05188I 1.95660 + 12.36124I
u = −1.027780 − 0.714936I
a = −0.888542 − 0.014176I
b = 0.417891 − 1.004570I
−1.07995 − 3.05188I 1.95660 − 12.36124I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.46567
a = −0.250975
b = 0.331222
−5.22323 −22.3570
u = −0.400602 + 0.082348I
a = 2.04874 + 2.74231I
b = −0.979032 − 0.024538I
3.31624 + 1.99605I 5.84393 − 3.12794I
u = −0.400602 − 0.082348I
a = 2.04874 − 2.74231I
b = −0.979032 + 0.024538I
3.31624 − 1.99605I 5.84393 + 3.12794I
u = −1.63523
a = 0.0901907
b = 0.305685
−2.87094 69.6740
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
+ u
23
+ ··· − 4u − 1)(u
110
− 25u
108
+ ··· + 111u − 49)
c
2
(u
24
+ 15u
23
+ ··· + 20u + 1)(u
110
+ 50u
109
+ ··· + 26237u + 2401)
c
3
(u
24
− 4u
22
+ ··· − 7u
2
− 1)(u
110
− u
109
+ ··· − 33999u − 6849)
c
4
(u
24
+ 2u
21
+ ··· + 6u
2
− 1)(u
110
− 3u
109
+ ··· − 41u − 1)
c
5
(u
24
− 8u
23
+ ··· + 2u − 1)(u
110
− 7u
109
+ ··· − 126089u − 152261)
c
6
(u
24
− u
23
+ ··· − u + 1)(u
110
− 33u
108
+ ··· − 32u + 1133)
c
7
(u
24
− u
23
+ ··· + 4u − 1)(u
110
− 25u
108
+ ··· + 111u − 49)
c
8
(u
24
− 4u
23
+ ··· + 2u
2
− 1)(u
110
− 9u
109
+ ··· + 21u − 1)
c
9
(u
24
+ u
23
+ ··· + u + 1)(u
110
− 33u
108
+ ··· − 32u + 1133)
c
10
(u
24
+ 2u
22
+ ··· + 2u
2
+ 1)(u
110
+ 3u
109
+ ··· − 37u + 1)
c
11
(u
24
− u
23
+ ··· − 5u + 1)(u
110
− 5u
108
+ ··· + 5654u − 1721)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
24
− 15y
23
+ ··· − 20y + 1)(y
110
− 50y
109
+ ··· − 26237y + 2401)
c
2
(y
24
− 3y
23
+ ··· − 48y + 1)
· (y
110
+ 30y
109
+ ··· − 18049781y + 5764801)
c
3
(y
24
− 8y
23
+ ··· + 14y + 1)
· (y
110
+ 21y
109
+ ··· + 2263623021y + 46908801)
c
4
(y
24
+ 22y
22
+ ··· − 12y + 1)(y
110
+ y
109
+ ··· − 205y + 1)
c
5
(y
24
+ 6y
22
+ ··· + 16y + 1)
· (y
110
− 35y
109
+ ··· + 362704631019y + 23183412121)
c
6
, c
9
(y
24
− 11y
23
+ ··· − 23y + 1)
· (y
110
− 66y
109
+ ··· − 31330740y + 1283689)
c
8
(y
24
− 12y
23
+ ··· − 4y + 1)(y
110
+ y
109
+ ··· + 19y + 1)
c
10
(y
24
+ 4y
23
+ ··· + 4y + 1)(y
110
+ 5y
109
+ ··· − 129y + 1)
c
11
(y
24
+ 13y
23
+ ··· − 17y + 1)
· (y
110
− 10y
109
+ ··· − 173719602y + 2961841)
23
