11a
136
(K11a
136
)
A knot diagram
1
Linearized knot diagam
6 1 11 7 2 10 4 3 5 8 9
Solving Sequence
2,5 6,9
10 7 1 3 4 8 11
c
5
c
9
c
6
c
1
c
2
c
4
c
8
c
11
c
3
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.54340 × 10
142
u
97
+ 2.06865 × 10
143
u
96
+ ··· + 1.58059 × 10
143
b + 1.85123 × 10
144
,
3.46727 × 10
144
u
97
− 3.34809 × 10
144
u
96
+ ··· + 2.05476 × 10
144
a + 2.15518 × 10
145
,
u
98
− 2u
97
+ ··· − 37u + 13i
I
u
2
= hu
16
− u
15
+ 4u
14
− 4u
13
+ 8u
12
− 8u
11
+ 9u
10
− 11u
9
+ 6u
8
− 10u
7
+ 2u
6
− 7u
5
− 4u
3
+ b,
− 23u
16
+ 8u
15
+ ··· + 11a + 8,
u
17
− u
16
+ 4u
15
− 4u
14
+ 9u
13
− 9u
12
+ 12u
11
− 14u
10
+ 11u
9
− 15u
8
+ 6u
7
− 13u
6
+ 2u
5
− 8u
4
− 3u
2
− 1i
* 2 irreducible components of dim
C
= 0, with total 115 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−2.54 × 10
142
u
97
+ 2.07 × 10
143
u
96
+ · · · + 1.58 × 10
143
b + 1.85 ×
10
144
, 3.47 × 10
144
u
97
− 3.35 × 10
144
u
96
+ · · · + 2.05 × 10
144
a + 2.16 ×
10
145
, u
98
− 2u
97
+ · · · − 37u + 13i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
−u
2
a
9
=
−1.68743u
97
+ 1.62943u
96
+ ··· − 16.4025u − 10.4887
0.160915u
97
− 1.30878u
96
+ ··· + 26.4937u − 11.7123
a
10
=
−1.52651u
97
+ 0.320645u
96
+ ··· + 10.0912u − 22.2010
0.160915u
97
− 1.30878u
96
+ ··· + 26.4937u − 11.7123
a
7
=
2.32231u
97
− 4.60219u
96
+ ··· + 99.7785u − 27.3089
−0.467847u
97
+ 0.927386u
96
+ ··· − 17.2220u + 8.26210
a
1
=
−u
u
3
+ u
a
3
=
−u
3
u
5
+ u
3
+ u
a
4
=
−0.193677u
97
+ 0.576173u
96
+ ··· − 24.8261u + 19.1249
0.836899u
97
− 0.622249u
96
+ ··· − 0.896403u + 7.44199
a
8
=
−0.993944u
97
− 0.792161u
96
+ ··· + 32.8044u − 33.0338
0.200388u
97
− 0.948050u
96
+ ··· + 20.9776u − 8.91727
a
11
=
−1.97538u
97
+ 3.67562u
96
+ ··· − 51.3552u + 15.4260
0.110979u
97
+ 0.369014u
96
+ ··· − 8.13883u + 4.87331
a
11
=
−1.97538u
97
+ 3.67562u
96
+ ··· − 51.3552u + 15.4260
0.110979u
97
+ 0.369014u
96
+ ··· − 8.13883u + 4.87331
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.93838u
97
+ 4.28511u
96
+ ··· − 151.895u + 50.7800
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
98
− 2u
97
+ ··· − 37u + 13
c
2
u
98
+ 38u
97
+ ··· + 3909u + 169
c
3
u
98
+ 8u
97
+ ··· − 2079u − 121
c
4
, c
7
u
98
+ 4u
97
+ ··· + 23u + 1
c
6
u
98
+ u
97
+ ··· − 35u − 1
c
8
u
98
+ u
97
+ ··· − 3372u + 329
c
9
u
98
+ u
97
+ ··· − 1099u + 29
c
10
u
98
− 6u
97
+ ··· − 80u − 3
c
11
u
98
+ 7u
97
+ ··· − 291u + 55
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
98
+ 38y
97
+ ··· + 3909y + 169
c
2
y
98
+ 42y
97
+ ··· − 1253619y + 28561
c
3
y
98
+ 20y
97
+ ··· − 1311277y + 14641
c
4
, c
7
y
98
+ 70y
97
+ ··· + 101y + 1
c
6
y
98
+ 3y
97
+ ··· − 177y + 1
c
8
y
98
+ 19y
97
+ ··· + 5038820y + 108241
c
9
y
98
+ 9y
97
+ ··· − 1350887y + 841
c
10
y
98
+ 10y
97
+ ··· − 178y + 9
c
11
y
98
+ 3y
97
+ ··· − 70161y + 3025
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.616891 + 0.784397I
a = 1.63832 − 0.64003I
b = −1.090670 + 0.712199I
−0.34672 − 2.97837I 0
u = 0.616891 − 0.784397I
a = 1.63832 + 0.64003I
b = −1.090670 − 0.712199I
−0.34672 + 2.97837I 0
u = −0.659764 + 0.754623I
a = −2.07220 − 1.28632I
b = 1.75363 − 0.61398I
0.55151 + 3.39643I 0
u = −0.659764 − 0.754623I
a = −2.07220 + 1.28632I
b = 1.75363 + 0.61398I
0.55151 − 3.39643I 0
u = −0.496333 + 0.874547I
a = −0.295450 − 0.901782I
b = −0.138248 − 1.273140I
−4.93867 − 2.00874I 0
u = −0.496333 − 0.874547I
a = −0.295450 + 0.901782I
b = −0.138248 + 1.273140I
−4.93867 + 2.00874I 0
u = 0.575791 + 0.810573I
a = 1.97739 − 0.70589I
b = −0.88079 − 1.49324I
2.03874 + 0.53848I 0
u = 0.575791 − 0.810573I
a = 1.97739 + 0.70589I
b = −0.88079 + 1.49324I
2.03874 − 0.53848I 0
u = −0.867975 + 0.478153I
a = −0.836099 − 0.480262I
b = 0.800077 + 0.888595I
1.79924 + 3.99333I 0
u = −0.867975 − 0.478153I
a = −0.836099 + 0.480262I
b = 0.800077 − 0.888595I
1.79924 − 3.99333I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.632212 + 0.756505I
a = −1.49685 + 0.04096I
b = 0.597802 + 0.996584I
1.56819 + 1.66106I 0
u = 0.632212 − 0.756505I
a = −1.49685 − 0.04096I
b = 0.597802 − 0.996584I
1.56819 − 1.66106I 0
u = −0.641246 + 0.799243I
a = −1.013500 − 0.151324I
b = 0.905379 + 0.476067I
3.77490 − 0.59504I 0
u = −0.641246 − 0.799243I
a = −1.013500 + 0.151324I
b = 0.905379 − 0.476067I
3.77490 + 0.59504I 0
u = −0.010475 + 1.028500I
a = 0.405801 − 0.744711I
b = 0.58430 − 1.48647I
−7.68730 − 2.02568I 0
u = −0.010475 − 1.028500I
a = 0.405801 + 0.744711I
b = 0.58430 + 1.48647I
−7.68730 + 2.02568I 0
u = −0.440846 + 0.934645I
a = 1.84346 − 0.35760I
b = −0.231373 + 0.603261I
−4.98729 − 2.56981I 0
u = −0.440846 − 0.934645I
a = 1.84346 + 0.35760I
b = −0.231373 − 0.603261I
−4.98729 + 2.56981I 0
u = 0.728651 + 0.628934I
a = 1.11245 − 1.65306I
b = −1.25852 + 1.13921I
−2.36351 − 2.54757I 0
u = 0.728651 − 0.628934I
a = 1.11245 + 1.65306I
b = −1.25852 − 1.13921I
−2.36351 + 2.54757I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.579700 + 0.891928I
a = −0.246451 + 1.116290I
b = 1.31896 − 1.31067I
1.77426 + 4.06198I 0
u = 0.579700 − 0.891928I
a = −0.246451 − 1.116290I
b = 1.31896 + 1.31067I
1.77426 − 4.06198I 0
u = −0.103181 + 1.061710I
a = 0.049091 − 0.616224I
b = −0.343876 − 0.957178I
−3.62579 + 0.91604I 0
u = −0.103181 − 1.061710I
a = 0.049091 + 0.616224I
b = −0.343876 + 0.957178I
−3.62579 − 0.91604I 0
u = −1.011860 + 0.341309I
a = −0.260991 + 0.539760I
b = 0.436256 − 0.655494I
−2.16870 − 6.86474I 0
u = −1.011860 − 0.341309I
a = −0.260991 − 0.539760I
b = 0.436256 + 0.655494I
−2.16870 + 6.86474I 0
u = −0.934536 + 0.546067I
a = 0.851904 + 0.819370I
b = −0.979519 − 0.722317I
4.03924 + 6.33189I 0
u = −0.934536 − 0.546067I
a = 0.851904 − 0.819370I
b = −0.979519 + 0.722317I
4.03924 − 6.33189I 0
u = 0.929871 + 0.556246I
a = −0.824388 + 1.097890I
b = 1.00104 − 1.18467I
−0.99305 − 12.05120I 0
u = 0.929871 − 0.556246I
a = −0.824388 − 1.097890I
b = 1.00104 + 1.18467I
−0.99305 + 12.05120I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.607517 + 0.904806I
a = −2.05552 + 1.58210I
b = 0.895894 + 0.828879I
−0.72330 + 7.80017I 0
u = 0.607517 − 0.904806I
a = −2.05552 − 1.58210I
b = 0.895894 − 0.828879I
−0.72330 − 7.80017I 0
u = 0.829244 + 0.372367I
a = −0.920831 + 0.041802I
b = 0.708117 + 0.178322I
1.68869 + 0.41507I 0
u = 0.829244 − 0.372367I
a = −0.920831 − 0.041802I
b = 0.708117 − 0.178322I
1.68869 − 0.41507I 0
u = −0.637715 + 0.885907I
a = 1.24620 + 1.12869I
b = −0.625446 + 0.651293I
3.50961 − 4.39996I 0
u = −0.637715 − 0.885907I
a = 1.24620 − 1.12869I
b = −0.625446 − 0.651293I
3.50961 + 4.39996I 0
u = 0.650522 + 0.909255I
a = 0.234450 − 0.779015I
b = −0.934084 + 0.714480I
1.10819 + 3.36665I 0
u = 0.650522 − 0.909255I
a = 0.234450 + 0.779015I
b = −0.934084 − 0.714480I
1.10819 − 3.36665I 0
u = −0.637437 + 0.925557I
a = 1.30512 + 1.42138I
b = −2.00689 − 0.34640I
0.02639 − 8.44572I 0
u = −0.637437 − 0.925557I
a = 1.30512 − 1.42138I
b = −2.00689 + 0.34640I
0.02639 + 8.44572I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.961805 + 0.599639I
a = 0.443570 − 0.416648I
b = −0.610119 + 0.559112I
3.94411 + 0.60196I 0
u = 0.961805 − 0.599639I
a = 0.443570 + 0.416648I
b = −0.610119 − 0.559112I
3.94411 − 0.60196I 0
u = −0.750684 + 0.850677I
a = 0.996395 − 0.701894I
b = 0.18373 + 1.73138I
1.41987 − 2.83130I 0
u = −0.750684 − 0.850677I
a = 0.996395 + 0.701894I
b = 0.18373 − 1.73138I
1.41987 + 2.83130I 0
u = −0.628456 + 0.577625I
a = −1.49021 − 0.91464I
b = 0.661533 + 0.370633I
0.88936 + 2.15076I 0
u = −0.628456 − 0.577625I
a = −1.49021 + 0.91464I
b = 0.661533 − 0.370633I
0.88936 − 2.15076I 0
u = −0.147876 + 1.137580I
a = 0.790358 + 0.086392I
b = 0.390050 + 1.205370I
−7.72343 + 2.40963I 0
u = −0.147876 − 1.137580I
a = 0.790358 − 0.086392I
b = 0.390050 − 1.205370I
−7.72343 − 2.40963I 0
u = 0.354450 + 0.773791I
a = −1.56361 + 0.74448I
b = 1.330170 + 0.217693I
0.304324 − 0.169063I 0
u = 0.354450 − 0.773791I
a = −1.56361 − 0.74448I
b = 1.330170 − 0.217693I
0.304324 + 0.169063I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.788593 + 0.839284I
a = 0.246563 + 0.731308I
b = −0.215213 − 0.162213I
−0.34003 + 2.94218I 0
u = 0.788593 − 0.839284I
a = 0.246563 − 0.731308I
b = −0.215213 + 0.162213I
−0.34003 − 2.94218I 0
u = 0.254437 + 1.134610I
a = −0.363254 − 1.220330I
b = −0.069590 − 0.950170I
−6.20840 − 0.89525I 0
u = 0.254437 − 1.134610I
a = −0.363254 + 1.220330I
b = −0.069590 + 0.950170I
−6.20840 + 0.89525I 0
u = 0.518432 + 1.055200I
a = 1.046680 − 0.838479I
b = −1.019190 − 0.586216I
−1.13902 + 3.74818I 0
u = 0.518432 − 1.055200I
a = 1.046680 + 0.838479I
b = −1.019190 + 0.586216I
−1.13902 − 3.74818I 0
u = 0.542877 + 1.044420I
a = −1.82901 + 0.24250I
b = 0.092857 + 0.401634I
−4.35388 + 7.97905I 0
u = 0.542877 − 1.044420I
a = −1.82901 − 0.24250I
b = 0.092857 − 0.401634I
−4.35388 − 7.97905I 0
u = −0.622357 + 1.013960I
a = 1.75460 + 0.58940I
b = −0.969529 + 0.647486I
−0.37194 − 7.12003I 0
u = −0.622357 − 1.013960I
a = 1.75460 − 0.58940I
b = −0.969529 − 0.647486I
−0.37194 + 7.12003I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.750313 + 0.925840I
a = 1.013880 − 0.893072I
b = −0.101119 + 1.137440I
−3.57391 − 2.88241I 0
u = −0.750313 − 0.925840I
a = 1.013880 + 0.893072I
b = −0.101119 − 1.137440I
−3.57391 + 2.88241I 0
u = −0.585650 + 1.051210I
a = −1.77104 − 0.63001I
b = 1.13257 − 1.51324I
−4.95576 − 9.43405I 0
u = −0.585650 − 1.051210I
a = −1.77104 + 0.63001I
b = 1.13257 + 1.51324I
−4.95576 + 9.43405I 0
u = 0.665170 + 1.011220I
a = −2.34754 + 0.55326I
b = 1.35506 + 1.45199I
−3.49613 + 7.89288I 0
u = 0.665170 − 1.011220I
a = −2.34754 − 0.55326I
b = 1.35506 − 1.45199I
−3.49613 − 7.89288I 0
u = 0.315902 + 0.719037I
a = 2.50104 − 1.03660I
b = 0.448777 − 0.181262I
−2.69442 − 4.06632I −0.58437 + 4.03909I
u = 0.315902 − 0.719037I
a = 2.50104 + 1.03660I
b = 0.448777 + 0.181262I
−2.69442 + 4.06632I −0.58437 − 4.03909I
u = −0.118535 + 1.224680I
a = −0.225435 − 0.699797I
b = −0.369881 − 0.770813I
−4.06422 + 1.56618I 0
u = −0.118535 − 1.224680I
a = −0.225435 + 0.699797I
b = −0.369881 + 0.770813I
−4.06422 − 1.56618I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.25091
a = −0.143472
b = 0.0247908
2.39487 0
u = −0.096931 + 1.252370I
a = −0.095419 + 0.489360I
b = −0.520535 + 1.177090I
−8.12216 − 10.14900I 0
u = −0.096931 − 1.252370I
a = −0.095419 − 0.489360I
b = −0.520535 − 1.177090I
−8.12216 + 10.14900I 0
u = 0.123571 + 1.259900I
a = −0.0030896 + 0.1332200I
b = 0.228933 + 0.812143I
−3.19553 + 4.35794I 0
u = 0.123571 − 1.259900I
a = −0.0030896 − 0.1332200I
b = 0.228933 − 0.812143I
−3.19553 − 4.35794I 0
u = −0.622970 + 0.375877I
a = 0.75207 + 1.49826I
b = −1.07825 − 1.03683I
−3.17837 + 4.67663I 1.92891 − 3.96631I
u = −0.622970 − 0.375877I
a = 0.75207 − 1.49826I
b = −1.07825 + 1.03683I
−3.17837 − 4.67663I 1.92891 + 3.96631I
u = −0.664305 + 1.117590I
a = 1.45034 + 0.74035I
b = −0.773178 + 1.091240I
−0.12881 − 9.67930I 0
u = −0.664305 − 1.117590I
a = 1.45034 − 0.74035I
b = −0.773178 − 1.091240I
−0.12881 + 9.67930I 0
u = 0.730610 + 1.090670I
a = −1.114580 + 0.329073I
b = 0.657187 + 0.894189I
2.40641 + 5.55593I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.730610 − 1.090670I
a = −1.114580 − 0.329073I
b = 0.657187 − 0.894189I
2.40641 − 5.55593I 0
u = −0.510606 + 1.212630I
a = −0.717341 − 0.050925I
b = −0.020678 − 0.617791I
−5.25124 + 1.21183I 0
u = −0.510606 − 1.212630I
a = −0.717341 + 0.050925I
b = −0.020678 + 0.617791I
−5.25124 − 1.21183I 0
u = 0.709754 + 1.109180I
a = 1.80382 − 0.46751I
b = −1.04638 − 1.37372I
−2.7010 + 18.0711I 0
u = 0.709754 − 1.109180I
a = 1.80382 + 0.46751I
b = −1.04638 + 1.37372I
−2.7010 − 18.0711I 0
u = −0.706931 + 1.111350I
a = −1.44364 − 0.52370I
b = 1.07289 − 0.97536I
2.29515 − 12.34640I 0
u = −0.706931 − 1.111350I
a = −1.44364 + 0.52370I
b = 1.07289 + 0.97536I
2.29515 + 12.34640I 0
u = −0.142699 + 0.640237I
a = 0.34209 + 1.38789I
b = −1.39818 − 0.54862I
−2.84596 + 4.76242I −1.34751 − 4.70185I
u = −0.142699 − 0.640237I
a = 0.34209 − 1.38789I
b = −1.39818 + 0.54862I
−2.84596 − 4.76242I −1.34751 + 4.70185I
u = 0.687518 + 1.182220I
a = 0.704245 − 0.351157I
b = −0.713048 − 0.294875I
−0.78309 + 5.33239I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.687518 − 1.182220I
a = 0.704245 + 0.351157I
b = −0.713048 + 0.294875I
−0.78309 − 5.33239I 0
u = 0.561025 + 0.178055I
a = 1.210090 + 0.465571I
b = 0.439651 + 0.596445I
−2.36220 − 3.74881I 2.92062 + 2.78211I
u = 0.561025 − 0.178055I
a = 1.210090 − 0.465571I
b = 0.439651 − 0.596445I
−2.36220 + 3.74881I 2.92062 − 2.78211I
u = −0.477393 + 0.343592I
a = 0.08519 − 1.52606I
b = −0.467321 + 0.682390I
−3.54087 − 1.01143I 2.17194 + 3.15617I
u = −0.477393 − 0.343592I
a = 0.08519 + 1.52606I
b = −0.467321 − 0.682390I
−3.54087 + 1.01143I 2.17194 − 3.15617I
u = 0.462129
a = −1.40065
b = 0.814892
1.18814 6.83070
u = 0.046008 + 0.429835I
a = −2.46965 − 1.26206I
b = −0.053075 + 0.407288I
0.60508 + 1.67951I 2.80427 − 5.83693I
u = 0.046008 − 0.429835I
a = −2.46965 + 1.26206I
b = −0.053075 − 0.407288I
0.60508 − 1.67951I 2.80427 + 5.83693I
14
II. I
u
2
=
hu
16
−u
15
+· · ·−4u
3
+b, −23u
16
+8u
15
+· · ·+11a+8, u
17
−u
16
+· · ·−3u
2
−1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
−u
2
a
9
=
2.09091u
16
− 0.727273u
15
+ ··· − 2.18182u − 0.727273
−u
16
+ u
15
+ ··· + 7u
5
+ 4u
3
a
10
=
1.09091u
16
+ 0.272727u
15
+ ··· − 2.18182u − 0.727273
−u
16
+ u
15
+ ··· + 7u
5
+ 4u
3
a
7
=
−1.18182u
16
+ 2.45455u
15
+ ··· + 1.36364u − 1.54545
0.0909091u
16
− 0.727273u
15
+ ··· + 0.818182u − 1.72727
a
1
=
−u
u
3
+ u
a
3
=
−u
3
u
5
+ u
3
+ u
a
4
=
−0.272727u
16
+ 0.181818u
15
+ ··· − 1.45455u − 0.818182
0.363636u
16
+ 0.0909091u
15
+ ··· − 0.727273u + 0.0909091
a
8
=
1.54545u
16
− 0.363636u
15
+ ··· − 2.09091u − 1.36364
−0.818182u
16
+ 1.54545u
15
+ ··· − 0.363636u − 0.454545
a
11
=
u
16
+ u
15
+ ··· − 4u
2
+ u
1.36364u
16
− 1.90909u
15
+ ··· − 0.727273u − 0.909091
a
11
=
u
16
+ u
15
+ ··· − 4u
2
+ u
1.36364u
16
− 1.90909u
15
+ ··· − 0.727273u − 0.909091
(ii) Obstruction class = 1
(iii) Cusp Shapes =
78
11
u
16
−
63
11
u
15
+ ··· +
20
11
u −
8
11
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
+ u
16
+ ··· + 3u
2
+ 1
c
2
u
17
+ 7u
16
+ ··· − 6u − 1
c
3
u
17
+ u
16
+ ··· − 2u
2
− 1
c
4
u
17
+ u
16
+ ··· + 4u + 1
c
5
u
17
− u
16
+ ··· − 3u
2
− 1
c
6
u
17
− 2u
16
+ ··· + 6u + 1
c
7
u
17
− u
16
+ ··· + 4u − 1
c
8
u
17
+ 2u
15
+ ··· − u − 1
c
9
u
17
− u
15
+ ··· + 2u − 1
c
10
u
17
− 9u
16
+ ··· + 3u − 1
c
11
u
17
+ 8u
16
+ ··· + 4u + 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
17
+ 7y
16
+ ··· − 6y −1
c
2
y
17
+ 3y
16
+ ··· − 14y −1
c
3
y
17
+ y
16
+ ··· − 4y −1
c
4
, c
7
y
17
+ 11y
16
+ ··· − 22y −1
c
6
y
17
+ 4y
16
+ ··· + 8y −1
c
8
y
17
+ 4y
16
+ ··· − y −1
c
9
y
17
− 2y
16
+ ··· + 18y −1
c
10
y
17
+ 7y
16
+ ··· + 5y −1
c
11
y
17
+ 8y
16
+ ··· + 8y −1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.122734 + 0.924960I
a = −1.00206 − 1.15728I
b = 0.062667 − 1.123890I
−6.20661 + 0.55436I −3.35974 − 0.56714I
u = 0.122734 − 0.924960I
a = −1.00206 + 1.15728I
b = 0.062667 + 1.123890I
−6.20661 − 0.55436I −3.35974 + 0.56714I
u = 0.684492 + 0.841900I
a = −0.793078 − 0.438836I
b = −0.249155 + 1.355890I
2.91021 + 2.64160I 11.92622 − 2.88965I
u = 0.684492 − 0.841900I
a = −0.793078 + 0.438836I
b = −0.249155 − 1.355890I
2.91021 − 2.64160I 11.92622 + 2.88965I
u = −0.587589 + 0.691285I
a = −2.12504 − 1.35796I
b = 1.33891 + 0.47968I
−1.19877 + 3.86614I 3.92641 − 4.92506I
u = −0.587589 − 0.691285I
a = −2.12504 + 1.35796I
b = 1.33891 − 0.47968I
−1.19877 − 3.86614I 3.92641 + 4.92506I
u = −0.605689 + 0.998898I
a = 2.08919 + 1.16507I
b = −1.25998 + 0.86023I
−2.19753 − 8.63849I 2.18255 + 9.85874I
u = −0.605689 − 0.998898I
a = 2.08919 − 1.16507I
b = −1.25998 − 0.86023I
−2.19753 + 8.63849I 2.18255 − 9.85874I
u = 1.21767
a = 0.238878
b = −0.260121
2.45771 67.1060
u = −0.250815 + 1.195170I
a = −0.273838 − 0.517799I
b = −0.401742 − 0.682852I
−4.48302 + 1.95126I −1.08122 − 8.77138I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.250815 − 1.195170I
a = −0.273838 + 0.517799I
b = −0.401742 + 0.682852I
−4.48302 − 1.95126I −1.08122 + 8.77138I
u = −0.524315 + 0.513369I
a = 0.591551 − 0.469285I
b = 0.802273 − 0.099303I
−1.62681 − 5.44009I 4.90727 + 6.73636I
u = −0.524315 − 0.513369I
a = 0.591551 + 0.469285I
b = 0.802273 + 0.099303I
−1.62681 + 5.44009I 4.90727 − 6.73636I
u = 0.420659 + 0.598526I
a = 2.25093 − 0.56285I
b = −0.963143 − 0.483883I
1.070290 − 0.654757I 6.91810 + 1.92183I
u = 0.420659 − 0.598526I
a = 2.25093 + 0.56285I
b = −0.963143 + 0.483883I
1.070290 + 0.654757I 6.91810 − 1.92183I
u = 0.631690 + 1.122780I
a = −0.857095 + 0.479455I
b = 0.800233 + 0.266777I
−1.01115 + 5.13361I −3.97273 − 2.25660I
u = 0.631690 − 1.122780I
a = −0.857095 − 0.479455I
b = 0.800233 − 0.266777I
−1.01115 − 5.13361I −3.97273 + 2.25660I
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
+ u
16
+ ··· + 3u
2
+ 1)(u
98
− 2u
97
+ ··· − 37u + 13)
c
2
(u
17
+ 7u
16
+ ··· − 6u − 1)(u
98
+ 38u
97
+ ··· + 3909u + 169)
c
3
(u
17
+ u
16
+ ··· − 2u
2
− 1)(u
98
+ 8u
97
+ ··· − 2079u − 121)
c
4
(u
17
+ u
16
+ ··· + 4u + 1)(u
98
+ 4u
97
+ ··· + 23u + 1)
c
5
(u
17
− u
16
+ ··· − 3u
2
− 1)(u
98
− 2u
97
+ ··· − 37u + 13)
c
6
(u
17
− 2u
16
+ ··· + 6u + 1)(u
98
+ u
97
+ ··· − 35u − 1)
c
7
(u
17
− u
16
+ ··· + 4u − 1)(u
98
+ 4u
97
+ ··· + 23u + 1)
c
8
(u
17
+ 2u
15
+ ··· − u − 1)(u
98
+ u
97
+ ··· − 3372u + 329)
c
9
(u
17
− u
15
+ ··· + 2u − 1)(u
98
+ u
97
+ ··· − 1099u + 29)
c
10
(u
17
− 9u
16
+ ··· + 3u − 1)(u
98
− 6u
97
+ ··· − 80u − 3)
c
11
(u
17
+ 8u
16
+ ··· + 4u + 1)(u
98
+ 7u
97
+ ··· − 291u + 55)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
17
+ 7y
16
+ ··· − 6y −1)(y
98
+ 38y
97
+ ··· + 3909y + 169)
c
2
(y
17
+ 3y
16
+ ··· − 14y −1)(y
98
+ 42y
97
+ ··· − 1253619y + 28561)
c
3
(y
17
+ y
16
+ ··· − 4y −1)(y
98
+ 20y
97
+ ··· − 1311277y + 14641)
c
4
, c
7
(y
17
+ 11y
16
+ ··· − 22y −1)(y
98
+ 70y
97
+ ··· + 101y + 1)
c
6
(y
17
+ 4y
16
+ ··· + 8y −1)(y
98
+ 3y
97
+ ··· − 177y + 1)
c
8
(y
17
+ 4y
16
+ ··· − y −1)(y
98
+ 19y
97
+ ··· + 5038820y + 108241)
c
9
(y
17
− 2y
16
+ ··· + 18y −1)(y
98
+ 9y
97
+ ··· − 1350887y + 841)
c
10
(y
17
+ 7y
16
+ ··· + 5y −1)(y
98
+ 10y
97
+ ··· − 178y + 9)
c
11
(y
17
+ 8y
16
+ ··· + 8y −1)(y
98
+ 3y
97
+ ··· − 70161y + 3025)
21
