11a
255
(K11a
255
)
A knot diagram
1
Linearized knot diagam
10 8 1 2 9 3 11 5 6 4 7
Solving Sequence
5,9
6
2,10
1 4 11 8 3 7
c
5
c
9
c
1
c
4
c
10
c
8
c
2
c
7
c
3
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.80659 × 10
126
u
87
+ 6.62202 × 10
126
u
86
+ ··· + 8.45954 × 10
125
b − 6.83566 × 10
124
,
6.92943 × 10
125
u
87
+ 2.71684 × 10
125
u
86
+ ··· + 8.45954 × 10
125
a + 3.63682 × 10
126
, u
88
+ 3u
87
+ ··· + 12u − 1i
I
u
2
= h6u
16
− 5u
15
+ ··· + b + 9, −4u
16
+ 3u
15
+ ··· + a − 3, u
17
− 2u
16
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 105 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
= h1.81 × 10
126
u
87
+ 6.62 × 10
126
u
86
+ · · · + 8.46 × 10
125
b − 6.84 ×
10
124
, 6.93 × 10
125
u
87
+ 2.72 × 10
125
u
86
+ · · · + 8.46 × 10
125
a + 3.64 ×
10
126
, u
88
+ 3u
87
+ · · · + 12u − 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
6
=
1
−u
2
a
2
=
−0.819125u
87
− 0.321157u
86
+ ··· + 16.0138u − 4.29907
−2.13556u
87
− 7.82787u
86
+ ··· + 22.9711u + 0.0808042
a
10
=
u
−u
3
+ u
a
1
=
−0.129180u
87
+ 0.672098u
86
+ ··· + 3.50283u − 3.01968
−2.64974u
87
− 8.65151u
86
+ ··· − 3.14880u + 2.43678
a
4
=
−2.08531u
87
− 5.49795u
86
+ ··· + 25.3255u − 0.354318
−1.84736u
87
− 5.50308u
86
+ ··· + 87.1798u − 7.04699
a
11
=
−1.83766u
87
− 6.94809u
86
+ ··· − 62.8333u + 11.5382
−0.322083u
87
− 1.44486u
86
+ ··· + 69.6894u − 6.79609
a
8
=
−u
u
a
3
=
−0.332721u
87
− 0.302475u
86
+ ··· + 27.5489u − 5.01410
−2.62197u
87
− 7.84655u
86
+ ··· + 11.4361u + 0.795836
a
7
=
0.00418543u
87
− 0.339575u
86
+ ··· + 87.8936u − 8.51572
−0.524156u
87
+ 1.20963u
86
+ ··· + 25.6387u − 2.61072
a
7
=
0.00418543u
87
− 0.339575u
86
+ ··· + 87.8936u − 8.51572
−0.524156u
87
+ 1.20963u
86
+ ··· + 25.6387u − 2.61072
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.27706u
87
− 1.69690u
86
+ ··· + 382.685u − 26.5055
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
88
+ 9u
87
+ ··· − 24u − 1
c
2
u
88
− u
87
+ ··· + 1530u − 73
c
3
u
88
+ 2u
87
+ ··· + 1392u + 133
c
4
u
88
− 3u
87
+ ··· + 6998u + 2363
c
5
, c
8
, c
9
u
88
− 3u
87
+ ··· − 12u − 1
c
6
u
88
− u
87
+ ··· + 9888u − 1216
c
7
, c
11
u
88
+ 26u
86
+ ··· + 35u − 19
c
10
u
88
+ 5u
87
+ ··· + 32u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
88
− 15y
87
+ ··· + 48y + 1
c
2
y
88
+ 17y
87
+ ··· + 439816y + 5329
c
3
y
88
− 16y
87
+ ··· − 1724598y + 17689
c
4
y
88
− 23y
87
+ ··· − 69312708y + 5583769
c
5
, c
8
, c
9
y
88
− 87y
87
+ ··· + 6y + 1
c
6
y
88
− 7y
87
+ ··· − 41894912y + 1478656
c
7
, c
11
y
88
+ 52y
87
+ ··· + 8009y + 361
c
10
y
88
− 9y
87
+ ··· − 42y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.461471 + 0.841006I
a = 0.528338 + 0.458503I
b = −1.067760 + 0.659062I
0.94916 − 7.07982I 0
u = −0.461471 − 0.841006I
a = 0.528338 − 0.458503I
b = −1.067760 − 0.659062I
0.94916 + 7.07982I 0
u = 0.461917 + 0.839983I
a = 0.521449 − 0.561797I
b = −1.15881 − 0.86775I
−2.63728 + 13.13360I 0
u = 0.461917 − 0.839983I
a = 0.521449 + 0.561797I
b = −1.15881 + 0.86775I
−2.63728 − 13.13360I 0
u = 0.716320 + 0.759777I
a = −0.096496 − 0.698922I
b = −0.910905 + 0.530988I
−1.90928 − 7.75289I 0
u = 0.716320 − 0.759777I
a = −0.096496 + 0.698922I
b = −0.910905 − 0.530988I
−1.90928 + 7.75289I 0
u = −0.747640 + 0.738917I
a = 0.185794 + 0.644451I
b = −0.800040 − 0.321449I
1.75411 + 1.70043I 0
u = −0.747640 − 0.738917I
a = 0.185794 − 0.644451I
b = −0.800040 + 0.321449I
1.75411 − 1.70043I 0
u = 0.462797 + 0.784939I
a = 0.713999 − 0.375007I
b = −0.575391 − 0.639112I
−4.87171 + 1.98745I 0
u = 0.462797 − 0.784939I
a = 0.713999 + 0.375007I
b = −0.575391 + 0.639112I
−4.87171 − 1.98745I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.661971 + 0.926980I
a = −0.0387633 + 0.1080350I
b = 0.248682 + 0.443728I
−4.12384 + 3.33457I 0
u = 0.661971 − 0.926980I
a = −0.0387633 − 0.1080350I
b = 0.248682 − 0.443728I
−4.12384 − 3.33457I 0
u = −0.708244 + 0.478843I
a = −0.296258 − 0.177834I
b = 0.853123 − 0.895770I
−0.49529 − 4.30405I 0
u = −0.708244 − 0.478843I
a = −0.296258 + 0.177834I
b = 0.853123 + 0.895770I
−0.49529 + 4.30405I 0
u = 0.830448 + 0.798387I
a = 0.0650164 − 0.0284208I
b = −0.131884 + 0.335388I
−4.10019 + 3.25868I 0
u = 0.830448 − 0.798387I
a = 0.0650164 + 0.0284208I
b = −0.131884 − 0.335388I
−4.10019 − 3.25868I 0
u = 1.210430 + 0.168812I
a = 0.657008 − 0.139362I
b = 0.238030 + 0.541756I
1.12675 + 3.01989I 0
u = 1.210430 − 0.168812I
a = 0.657008 + 0.139362I
b = 0.238030 − 0.541756I
1.12675 − 3.01989I 0
u = −1.242660 + 0.064543I
a = 0.356767 + 0.064742I
b = 0.259039 + 1.176710I
−0.78403 + 3.10651I 0
u = −1.242660 − 0.064543I
a = 0.356767 − 0.064742I
b = 0.259039 − 1.176710I
−0.78403 − 3.10651I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.752023 + 0.025277I
a = 1.248130 − 0.539713I
b = −0.373499 + 0.173438I
1.43199 − 0.10841I 9.03393 − 1.67726I
u = −0.752023 − 0.025277I
a = 1.248130 + 0.539713I
b = −0.373499 − 0.173438I
1.43199 + 0.10841I 9.03393 + 1.67726I
u = 1.265790 + 0.009736I
a = 2.61060 + 0.86684I
b = −1.59560 − 0.66566I
−0.88817 − 4.15422I 0
u = 1.265790 − 0.009736I
a = 2.61060 − 0.86684I
b = −1.59560 + 0.66566I
−0.88817 + 4.15422I 0
u = −0.083085 + 0.724734I
a = 1.158860 + 0.095466I
b = 0.431630 + 0.250640I
−2.63186 + 0.30603I −4.47610 + 0.84684I
u = −0.083085 − 0.724734I
a = 1.158860 − 0.095466I
b = 0.431630 − 0.250640I
−2.63186 − 0.30603I −4.47610 − 0.84684I
u = −0.406517 + 0.596845I
a = −0.134387 − 0.848786I
b = 1.080960 − 0.597180I
1.08733 − 1.99106I 6.09235 + 1.36477I
u = −0.406517 − 0.596845I
a = −0.134387 + 0.848786I
b = 1.080960 + 0.597180I
1.08733 + 1.99106I 6.09235 − 1.36477I
u = −1.28104
a = 1.92302
b = −1.09485
2.27296 0
u = −1.279570 + 0.203713I
a = 1.06056 + 0.94410I
b = −0.895929 − 0.812012I
1.161850 − 0.746665I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.279570 − 0.203713I
a = 1.06056 − 0.94410I
b = −0.895929 + 0.812012I
1.161850 + 0.746665I 0
u = −0.322097 + 0.620023I
a = 0.315508 − 0.621708I
b = 0.946527 − 0.186707I
0.94922 − 1.67367I 6.07995 + 4.98191I
u = −0.322097 − 0.620023I
a = 0.315508 + 0.621708I
b = 0.946527 + 0.186707I
0.94922 + 1.67367I 6.07995 − 4.98191I
u = 0.332971 + 0.562296I
a = −0.68132 + 1.26827I
b = 1.05330 + 1.02301I
0.17356 + 4.65502I 2.68890 − 10.30148I
u = 0.332971 − 0.562296I
a = −0.68132 − 1.26827I
b = 1.05330 − 1.02301I
0.17356 − 4.65502I 2.68890 + 10.30148I
u = 1.349230 + 0.081552I
a = −0.072511 − 1.110690I
b = −0.00272 + 1.71935I
3.28529 + 3.22075I 0
u = 1.349230 − 0.081552I
a = −0.072511 + 1.110690I
b = −0.00272 − 1.71935I
3.28529 − 3.22075I 0
u = 1.352360 + 0.095803I
a = −2.37770 − 0.49924I
b = 0.479377 + 0.433404I
0.04809 + 6.65339I 0
u = 1.352360 − 0.095803I
a = −2.37770 + 0.49924I
b = 0.479377 − 0.433404I
0.04809 − 6.65339I 0
u = 0.511484 + 0.381620I
a = 1.12929 − 2.15831I
b = −0.702835 − 0.184361I
−1.90539 + 5.37165I 4.99409 − 10.30612I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.511484 − 0.381620I
a = 1.12929 + 2.15831I
b = −0.702835 + 0.184361I
−1.90539 − 5.37165I 4.99409 + 10.30612I
u = 0.164196 + 0.612873I
a = 0.375315 + 0.193004I
b = −1.129360 + 0.356278I
−3.27941 − 2.28675I −3.82551 + 1.37856I
u = 0.164196 − 0.612873I
a = 0.375315 − 0.193004I
b = −1.129360 − 0.356278I
−3.27941 + 2.28675I −3.82551 − 1.37856I
u = −1.382080 + 0.113573I
a = 0.23821 + 1.80685I
b = −0.56801 − 2.23826I
0.79244 − 7.21107I 0
u = −1.382080 − 0.113573I
a = 0.23821 − 1.80685I
b = −0.56801 + 2.23826I
0.79244 + 7.21107I 0
u = 1.391480 + 0.005846I
a = −1.256520 + 0.038074I
b = 0.961160 − 1.030150I
4.81925 − 2.14563I 0
u = 1.391480 − 0.005846I
a = −1.256520 − 0.038074I
b = 0.961160 + 1.030150I
4.81925 + 2.14563I 0
u = −1.367910 + 0.282397I
a = −0.943677 − 0.996974I
b = 1.134880 + 0.127270I
5.06894 − 1.03566I 0
u = −1.367910 − 0.282397I
a = −0.943677 + 0.996974I
b = 1.134880 − 0.127270I
5.06894 + 1.03566I 0
u = −1.411040 + 0.057384I
a = −1.90492 + 0.51638I
b = 1.046140 + 0.137041I
5.63533 − 2.97696I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.411040 − 0.057384I
a = −1.90492 − 0.51638I
b = 1.046140 − 0.137041I
5.63533 + 2.97696I 0
u = −1.43441 + 0.20928I
a = −2.21776 + 0.04987I
b = 1.41019 − 1.20573I
5.87411 − 7.49299I 0
u = −1.43441 − 0.20928I
a = −2.21776 − 0.04987I
b = 1.41019 + 1.20573I
5.87411 + 7.49299I 0
u = 1.45850 + 0.22546I
a = −1.93667 + 0.23400I
b = 1.62738 + 0.88334I
7.10229 + 5.03178I 0
u = 1.45850 − 0.22546I
a = −1.93667 − 0.23400I
b = 1.62738 − 0.88334I
7.10229 − 5.03178I 0
u = 1.46091 + 0.26784I
a = −1.41901 + 0.35326I
b = 1.32346 + 0.58187I
6.71196 + 5.09265I 0
u = 1.46091 − 0.26784I
a = −1.41901 − 0.35326I
b = 1.32346 − 0.58187I
6.71196 − 5.09265I 0
u = 0.463199 + 0.202675I
a = −0.925640 − 0.568827I
b = 0.895298 + 0.761077I
0.58871 + 2.37016I 4.17793 + 0.20978I
u = 0.463199 − 0.202675I
a = −0.925640 + 0.568827I
b = 0.895298 − 0.761077I
0.58871 − 2.37016I 4.17793 − 0.20978I
u = −1.49052 + 0.12670I
a = −2.00668 + 0.39222I
b = 1.61947 − 0.73656I
7.08647 − 3.90826I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.49052 − 0.12670I
a = −2.00668 − 0.39222I
b = 1.61947 + 0.73656I
7.08647 + 3.90826I 0
u = −1.49094 + 0.14407I
a = 1.31374 + 0.79966I
b = −0.672972 + 0.541325I
4.61143 − 7.37584I 0
u = −1.49094 − 0.14407I
a = 1.31374 − 0.79966I
b = −0.672972 − 0.541325I
4.61143 + 7.37584I 0
u = −1.51168 + 0.27680I
a = 1.57883 + 0.09561I
b = −0.966303 + 0.625481I
1.55133 − 5.83848I 0
u = −1.51168 − 0.27680I
a = 1.57883 − 0.09561I
b = −0.966303 − 0.625481I
1.55133 + 5.83848I 0
u = −1.51194 + 0.30714I
a = 1.90269 + 0.09005I
b = −1.45359 + 1.01576I
3.7463 − 17.3074I 0
u = −1.51194 − 0.30714I
a = 1.90269 − 0.09005I
b = −1.45359 − 1.01576I
3.7463 + 17.3074I 0
u = 1.51283 + 0.30406I
a = 1.80560 − 0.17118I
b = −1.39154 − 0.78176I
7.34238 + 11.23930I 0
u = 1.51283 − 0.30406I
a = 1.80560 + 0.17118I
b = −1.39154 + 0.78176I
7.34238 − 11.23930I 0
u = 1.53850 + 0.17987I
a = −1.73418 − 0.42086I
b = 1.54927 + 1.11382I
6.81415 + 6.82656I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.53850 − 0.17987I
a = −1.73418 + 0.42086I
b = 1.54927 − 1.11382I
6.81415 − 6.82656I 0
u = −0.050133 + 0.441148I
a = 0.993692 − 0.507935I
b = −0.303771 − 0.868150I
−1.03837 − 1.54696I −1.67898 + 4.77723I
u = −0.050133 − 0.441148I
a = 0.993692 + 0.507935I
b = −0.303771 + 0.868150I
−1.03837 + 1.54696I −1.67898 − 4.77723I
u = 1.55518 + 0.14824I
a = 1.208090 − 0.434884I
b = −0.896135 − 0.279463I
9.64122 + 1.15165I 0
u = 1.55518 − 0.14824I
a = 1.208090 + 0.434884I
b = −0.896135 + 0.279463I
9.64122 − 1.15165I 0
u = −0.040036 + 0.423083I
a = −2.16221 − 2.72595I
b = 0.223065 − 0.923326I
−4.35734 − 4.93840I −7.58655 + 6.46522I
u = −0.040036 − 0.423083I
a = −2.16221 + 2.72595I
b = 0.223065 + 0.923326I
−4.35734 + 4.93840I −7.58655 − 6.46522I
u = −1.55024 + 0.32691I
a = −0.964062 + 0.135780I
b = 0.779113 − 0.898123I
2.86988 − 7.90451I 0
u = −1.55024 − 0.32691I
a = −0.964062 − 0.135780I
b = 0.779113 + 0.898123I
2.86988 + 7.90451I 0
u = 0.138202 + 0.386589I
a = 0.686542 + 1.075090I
b = −0.77356 + 1.44194I
−4.10700 + 5.44401I −7.49868 − 9.59248I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.138202 − 0.386589I
a = 0.686542 − 1.075090I
b = −0.77356 − 1.44194I
−4.10700 − 5.44401I −7.49868 + 9.59248I
u = −1.59892 + 0.13692I
a = 1.000610 + 0.377588I
b = −0.984883 + 0.138127I
6.15553 + 4.54274I 0
u = −1.59892 − 0.13692I
a = 1.000610 − 0.377588I
b = −0.984883 − 0.138127I
6.15553 − 4.54274I 0
u = 0.142949 + 0.365957I
a = 1.46432 + 0.58792I
b = 0.834993 − 0.548206I
0.45850 − 1.90438I 4.87683 + 2.73751I
u = 0.142949 − 0.365957I
a = 1.46432 − 0.58792I
b = 0.834993 + 0.548206I
0.45850 + 1.90438I 4.87683 − 2.73751I
u = 1.64753
a = 1.65458
b = −0.774179
10.0236 0
u = 0.178255 + 0.115095I
a = −3.73900 − 2.62365I
b = 0.794927 + 0.470433I
0.40811 + 2.17817I 5.56775 − 5.52206I
u = 0.178255 − 0.115095I
a = −3.73900 + 2.62365I
b = 0.794927 − 0.470433I
0.40811 − 2.17817I 5.56775 + 5.52206I
13
II.
I
u
2
= h6u
16
−5u
15
+· · ·+b+9, −4u
16
+3u
15
+· · ·+a−3, u
17
−2u
16
+· · ·+2u−1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
6
=
1
−u
2
a
2
=
4u
16
− 3u
15
+ ··· − 6u + 3
−6u
16
+ 5u
15
+ ··· + 2u − 9
a
10
=
u
−u
3
+ u
a
1
=
9u
16
− 6u
15
+ ··· − 11u + 8
−9u
16
+ 6u
15
+ ··· + 6u − 11
a
4
=
−7u
16
+ 57u
14
+ ··· + 20u + 5
8u
16
− 7u
15
+ ··· − 5u + 6
a
11
=
−3u
16
+ 10u
15
+ ··· − 14u − 14
−2u
15
+ 3u
14
+ ··· + 8u
2
+ 4u
a
8
=
−u
u
a
3
=
6u
16
− 4u
15
+ ··· − 8u + 5
−8u
16
+ 6u
15
+ ··· + 4u − 11
a
7
=
9u
16
− 9u
15
+ ··· + 2u + 15
−3u
15
+ u
14
+ ··· + 8u + 5
a
7
=
9u
16
− 9u
15
+ ··· + 2u + 15
−3u
15
+ u
14
+ ··· + 8u + 5
(ii) Obstruction class = 1
(iii) Cusp Shapes = 34u
16
− 33u
15
− 269u
14
+ 269u
13
+ 827u
12
− 928u
11
− 1263u
10
+
1777u
9
+ 1168u
8
− 2053u
7
− 1041u
6
+ 1333u
5
+ 877u
4
− 331u
3
− 342u
2
− 15u + 54
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
− 2u
16
+ ··· − 4u − 1
c
2
u
17
− 3u
15
+ ··· + 2u + 1
c
3
u
17
+ 9u
16
+ ··· + 12u + 1
c
4
u
17
− 8u
16
+ ··· + 10u − 1
c
5
u
17
− 2u
16
+ ··· + 2u − 1
c
6
u
17
− 2u
16
+ ··· + 2u − 1
c
7
u
17
− u
16
+ ··· + u − 1
c
8
, c
9
u
17
+ 2u
16
+ ··· + 2u + 1
c
10
u
17
+ 4u
16
+ ··· + 2u − 1
c
11
u
17
+ u
16
+ ··· + u + 1
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
17
− 14y
16
+ ··· + 12y −1
c
2
y
17
− 6y
16
+ ··· − 8y
2
− 1
c
3
y
17
+ y
16
+ ··· + 18y −1
c
4
y
17
+ 2y
16
+ ··· + 4y −1
c
5
, c
8
, c
9
y
17
− 18y
16
+ ··· + 18y −1
c
6
y
17
+ 6y
16
+ ··· + 12y −1
c
7
, c
11
y
17
+ 9y
16
+ ··· − 13y −1
c
10
y
17
− 12y
16
+ ··· + 14y −1
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.196410 + 0.042923I
a = 0.307258 + 0.955570I
b = 0.193767 − 1.133430I
2.31141 − 2.16263I 6.33291 + 1.14130I
u = −1.196410 − 0.042923I
a = 0.307258 − 0.955570I
b = 0.193767 + 1.133430I
2.31141 + 2.16263I 6.33291 − 1.14130I
u = −0.699765 + 0.361992I
a = −0.694115 − 1.124900I
b = 0.506823 + 0.381587I
1.024420 + 0.934539I 3.42338 − 2.45300I
u = −0.699765 − 0.361992I
a = −0.694115 + 1.124900I
b = 0.506823 − 0.381587I
1.024420 − 0.934539I 3.42338 + 2.45300I
u = 0.788709 + 0.955075I
a = −0.141999 + 0.205787I
b = 0.356005 + 0.214476I
−3.91587 + 3.42072I 20.1307 − 16.0266I
u = 0.788709 − 0.955075I
a = −0.141999 − 0.205787I
b = 0.356005 − 0.214476I
−3.91587 − 3.42072I 20.1307 + 16.0266I
u = 1.296440 + 0.017393I
a = 1.87829 − 0.94667I
b = −0.641473 + 1.171170I
−0.09550 + 5.07949I 3.41161 − 6.03160I
u = 1.296440 − 0.017393I
a = 1.87829 + 0.94667I
b = −0.641473 − 1.171170I
−0.09550 − 5.07949I 3.41161 + 6.03160I
u = −0.380635 + 0.432969I
a = −0.626410 − 0.579486I
b = 1.05773 − 0.95107I
0.39343 − 3.18951I 2.48922 + 8.07163I
u = −0.380635 − 0.432969I
a = −0.626410 + 0.579486I
b = 1.05773 + 0.95107I
0.39343 + 3.18951I 2.48922 − 8.07163I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.46863 + 0.19401I
a = −2.06395 − 0.17330I
b = 1.66804 + 1.07306I
6.49554 + 5.64721I 4.24800 − 5.28734I
u = 1.46863 − 0.19401I
a = −2.06395 + 0.17330I
b = 1.66804 − 1.07306I
6.49554 − 5.64721I 4.24800 + 5.28734I
u = −1.50073 + 0.18378I
a = −1.184810 + 0.076406I
b = 0.662272 − 0.912764I
3.66769 − 6.66143I 4.22453 + 5.17747I
u = −1.50073 − 0.18378I
a = −1.184810 − 0.076406I
b = 0.662272 + 0.912764I
3.66769 + 6.66143I 4.22453 − 5.17747I
u = 0.395860 + 0.034188I
a = −2.66560 − 0.32394I
b = −0.183573 + 0.870910I
−3.35478 + 5.00709I 1.93752 − 5.36803I
u = 0.395860 − 0.034188I
a = −2.66560 + 0.32394I
b = −0.183573 − 0.870910I
−3.35478 − 5.00709I 1.93752 + 5.36803I
u = 1.65580
a = −1.61733
b = 0.760820
9.97638 −80.3960
18
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
− 2u
16
+ ··· − 4u − 1)(u
88
+ 9u
87
+ ··· − 24u − 1)
c
2
(u
17
− 3u
15
+ ··· + 2u + 1)(u
88
− u
87
+ ··· + 1530u − 73)
c
3
(u
17
+ 9u
16
+ ··· + 12u + 1)(u
88
+ 2u
87
+ ··· + 1392u + 133)
c
4
(u
17
− 8u
16
+ ··· + 10u − 1)(u
88
− 3u
87
+ ··· + 6998u + 2363)
c
5
(u
17
− 2u
16
+ ··· + 2u − 1)(u
88
− 3u
87
+ ··· − 12u − 1)
c
6
(u
17
− 2u
16
+ ··· + 2u − 1)(u
88
− u
87
+ ··· + 9888u − 1216)
c
7
(u
17
− u
16
+ ··· + u − 1)(u
88
+ 26u
86
+ ··· + 35u − 19)
c
8
, c
9
(u
17
+ 2u
16
+ ··· + 2u + 1)(u
88
− 3u
87
+ ··· − 12u − 1)
c
10
(u
17
+ 4u
16
+ ··· + 2u − 1)(u
88
+ 5u
87
+ ··· + 32u − 1)
c
11
(u
17
+ u
16
+ ··· + u + 1)(u
88
+ 26u
86
+ ··· + 35u − 19)
19
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
17
− 14y
16
+ ··· + 12y −1)(y
88
− 15y
87
+ ··· + 48y + 1)
c
2
(y
17
− 6y
16
+ ··· − 8y
2
− 1)(y
88
+ 17y
87
+ ··· + 439816y + 5329)
c
3
(y
17
+ y
16
+ ··· + 18y −1)(y
88
− 16y
87
+ ··· − 1724598y + 17689)
c
4
(y
17
+ 2y
16
+ ··· + 4y −1)
· (y
88
− 23y
87
+ ··· − 69312708y + 5583769)
c
5
, c
8
, c
9
(y
17
− 18y
16
+ ··· + 18y −1)(y
88
− 87y
87
+ ··· + 6y + 1)
c
6
(y
17
+ 6y
16
+ ··· + 12y −1)
· (y
88
− 7y
87
+ ··· − 41894912y + 1478656)
c
7
, c
11
(y
17
+ 9y
16
+ ··· − 13y −1)(y
88
+ 52y
87
+ ··· + 8009y + 361)
c
10
(y
17
− 12y
16
+ ··· + 14y −1)(y
88
− 9y
87
+ ··· − 42y + 1)
20
