12a
0603
(K12a
0603
)
A knot diagram
1
Linearized knot diagam
3 7 9 12 8 2 10 11 1 6 5 4
Solving Sequence
5,11
12 4
1,9
3 2 8 6 10 7
c
11
c
4
c
12
c
3
c
1
c
8
c
5
c
10
c
7
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.64474 × 10
364
u
132
− 1.02887 × 10
365
u
131
+ ··· + 2.92376 × 10
364
b − 7.83824 × 10
364
,
1.91797 × 10
364
u
132
+ 9.44885 × 10
364
u
131
+ ··· + 2.92376 × 10
364
a + 1.78055 × 10
365
,
u
133
+ 4u
132
+ ··· + 18u + 1i
I
u
2
= h−2338u
25
− 12252u
24
+ ··· + 18671b − 18146, −15486u
25
− 29931u
24
+ ··· + 18671a + 59714,
u
26
+ u
25
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 159 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−2.64 × 10
364
u
132
− 1.03 × 10
365
u
131
+ · · · + 2.92 × 10
364
b − 7.84 ×
10
364
, 1.92 × 10
364
u
132
+ 9.45 × 10
364
u
131
+ · · · + 2.92 × 10
364
a + 1.78 ×
10
365
, u
133
+ 4u
132
+ · · · + 18u + 1i
(i) Arc colorings
a
5
=
0
u
a
11
=
1
0
a
12
=
1
−u
2
a
4
=
−u
u
3
+ u
a
1
=
u
2
+ 1
−u
4
− 2u
2
a
9
=
−0.655993u
132
− 3.23175u
131
+ ··· − 268.477u − 6.08993
0.904567u
132
+ 3.51901u
131
+ ··· + 27.3508u + 2.68088
a
3
=
2.36500u
132
+ 9.81964u
131
+ ··· + 400.736u + 24.4482
0.861748u
132
+ 3.26370u
131
+ ··· + 63.9327u + 2.76443
a
2
=
0.500905u
132
+ 1.14522u
131
+ ··· − 19.0597u − 10.5361
−0.0621254u
132
+ 0.252358u
131
+ ··· + 7.15415u − 1.03549
a
8
=
−1.56056u
132
− 6.75076u
131
+ ··· − 295.828u − 8.77081
0.904567u
132
+ 3.51901u
131
+ ··· + 27.3508u + 2.68088
a
6
=
2.44617u
132
+ 10.3270u
131
+ ··· + 319.714u + 20.7248
−0.378624u
132
− 1.55141u
131
+ ··· + 16.1274u + 0.732186
a
10
=
−1.24955u
132
− 5.63197u
131
+ ··· − 317.747u − 10.0100
0.639277u
132
+ 2.53166u
131
+ ··· + 21.4354u + 2.42305
a
7
=
−1.11577u
132
− 4.52867u
131
+ ··· − 100.102u + 6.85622
−0.267124u
132
− 0.836064u
131
+ ··· + 47.1787u + 4.78908
(ii) Obstruction class = −1
(iii) Cusp Shapes = −9.94811u
132
− 38.2270u
131
+ ··· − 105.374u + 7.68191
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
133
+ 52u
132
+ ··· + 48754u + 1849
c
2
, c
6
u
133
− 26u
131
+ ··· + 54u + 43
c
3
u
133
− 2u
132
+ ··· + 11980u + 919
c
4
, c
11
, c
12
u
133
+ 4u
132
+ ··· + 18u + 1
c
5
u
133
+ 11u
132
+ ··· + 114108u + 20779
c
7
u
133
+ 12u
132
+ ··· − 10013u + 1819
c
8
u
133
− 8u
132
+ ··· + 4740u + 2736
c
9
u
133
+ 3u
132
+ ··· + 42284u − 2231
c
10
u
133
+ u
132
+ ··· + 22010u − 1007
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
133
+ 64y
132
+ ··· − 347471326y −3418801
c
2
, c
6
y
133
− 52y
132
+ ··· + 48754y −1849
c
3
y
133
− 16y
132
+ ··· + 28417488y −844561
c
4
, c
11
, c
12
y
133
+ 144y
132
+ ··· − 178y −1
c
5
y
133
+ 37y
132
+ ··· − 27554143614y −431766841
c
7
y
133
+ 2y
132
+ ··· + 17932229y −3308761
c
8
y
133
+ 26y
132
+ ··· − 64564560y −7485696
c
9
y
133
− 25y
132
+ ··· + 651416174y −4977361
c
10
y
133
+ 35y
132
+ ··· + 25824104y −1014049
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.317390 + 0.951720I
a = 1.48827 − 0.25479I
b = 0.757216 + 0.344540I
−0.13837 − 1.80283I 0
u = −0.317390 − 0.951720I
a = 1.48827 + 0.25479I
b = 0.757216 − 0.344540I
−0.13837 + 1.80283I 0
u = 0.000414 + 1.006760I
a = 0.907735 − 0.505915I
b = 0.454679 − 0.046619I
−0.85528 + 1.37756I 0
u = 0.000414 − 1.006760I
a = 0.907735 + 0.505915I
b = 0.454679 + 0.046619I
−0.85528 − 1.37756I 0
u = 0.369042 + 0.904093I
a = 1.49938 + 0.10474I
b = 0.699547 − 0.487167I
−0.32005 − 2.62744I 0
u = 0.369042 − 0.904093I
a = 1.49938 − 0.10474I
b = 0.699547 + 0.487167I
−0.32005 + 2.62744I 0
u = −0.803088 + 0.636718I
a = 0.484658 + 0.531000I
b = −0.775385 + 0.851791I
−4.78432 − 7.01607I 0
u = −0.803088 − 0.636718I
a = 0.484658 − 0.531000I
b = −0.775385 − 0.851791I
−4.78432 + 7.01607I 0
u = −0.793242 + 0.649364I
a = 0.316921 + 0.646051I
b = −1.028850 + 0.950405I
0.6941 − 14.9364I 0
u = −0.793242 − 0.649364I
a = 0.316921 − 0.646051I
b = −1.028850 − 0.950405I
0.6941 + 14.9364I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.793523 + 0.655020I
a = 0.311114 − 0.584099I
b = −1.019840 − 0.865635I
2.41217 + 8.91087I 0
u = 0.793523 − 0.655020I
a = 0.311114 + 0.584099I
b = −1.019840 + 0.865635I
2.41217 − 8.91087I 0
u = −0.935358 + 0.435263I
a = −0.330740 + 0.419531I
b = −0.631739 − 0.591068I
1.37484 + 9.33049I 0
u = −0.935358 − 0.435263I
a = −0.330740 − 0.419531I
b = −0.631739 + 0.591068I
1.37484 − 9.33049I 0
u = 0.956015 + 0.391472I
a = −0.180667 − 0.451075I
b = −0.595131 + 0.477995I
3.19901 − 3.27930I 0
u = 0.956015 − 0.391472I
a = −0.180667 + 0.451075I
b = −0.595131 − 0.477995I
3.19901 + 3.27930I 0
u = 0.498790 + 0.934638I
a = 0.322872 − 0.250760I
b = −1.020790 − 0.209680I
1.84987 + 2.34571I 0
u = 0.498790 − 0.934638I
a = 0.322872 + 0.250760I
b = −1.020790 + 0.209680I
1.84987 − 2.34571I 0
u = −0.789480 + 0.492341I
a = −0.242498 − 0.247167I
b = 0.227250 − 0.984213I
−2.11830 − 6.37096I 0
u = −0.789480 − 0.492341I
a = −0.242498 + 0.247167I
b = 0.227250 + 0.984213I
−2.11830 + 6.37096I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.932967 + 0.567128I
a = 0.453567 − 0.242141I
b = −0.685684 − 0.500427I
0.94295 + 3.39839I 0
u = 0.932967 − 0.567128I
a = 0.453567 + 0.242141I
b = −0.685684 + 0.500427I
0.94295 − 3.39839I 0
u = 0.658045 + 0.586349I
a = −0.036517 + 0.301429I
b = 0.413199 + 0.649549I
−0.02575 + 2.01548I 0
u = 0.658045 − 0.586349I
a = −0.036517 − 0.301429I
b = 0.413199 − 0.649549I
−0.02575 − 2.01548I 0
u = −0.958383 + 0.586194I
a = −0.189165 + 0.040884I
b = −0.175318 − 0.636952I
−4.36490 + 1.21700I 0
u = −0.958383 − 0.586194I
a = −0.189165 − 0.040884I
b = −0.175318 + 0.636952I
−4.36490 − 1.21700I 0
u = −0.426635 + 0.754500I
a = 0.265362 + 0.064534I
b = −1.151620 + 0.038490I
0.72377 + 3.99082I 0
u = −0.426635 − 0.754500I
a = 0.265362 − 0.064534I
b = −1.151620 − 0.038490I
0.72377 − 3.99082I 0
u = −0.672366 + 0.529127I
a = 0.851817 + 0.281364I
b = −0.266858 + 0.657749I
−2.44476 + 1.49394I 0
u = −0.672366 − 0.529127I
a = 0.851817 − 0.281364I
b = −0.266858 − 0.657749I
−2.44476 − 1.49394I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.407366 + 0.705544I
a = 1.237480 − 0.100857I
b = 0.317154 − 0.559779I
−1.33061 + 1.48114I 0
u = 0.407366 − 0.705544I
a = 1.237480 + 0.100857I
b = 0.317154 + 0.559779I
−1.33061 − 1.48114I 0
u = 0.106132 + 1.212180I
a = 0.540451 − 0.882730I
b = 0.227641 − 0.264956I
−0.91739 + 1.45459I 0
u = 0.106132 − 1.212180I
a = 0.540451 + 0.882730I
b = 0.227641 + 0.264956I
−0.91739 − 1.45459I 0
u = 0.649189 + 0.390265I
a = −0.292317 + 0.359202I
b = 0.660502 + 0.993791I
−0.25396 + 2.43752I 0
u = 0.649189 − 0.390265I
a = −0.292317 − 0.359202I
b = 0.660502 − 0.993791I
−0.25396 − 2.43752I 0
u = 0.506366 + 0.515867I
a = −0.026354 + 1.228440I
b = 1.108190 + 0.793659I
2.75321 + 1.11683I 0
u = 0.506366 − 0.515867I
a = −0.026354 − 1.228440I
b = 1.108190 − 0.793659I
2.75321 − 1.11683I 0
u = −0.481846 + 0.531634I
a = −0.20249 − 1.40276I
b = 1.09151 − 0.94036I
2.44358 − 6.00898I 0
u = −0.481846 − 0.531634I
a = −0.20249 + 1.40276I
b = 1.09151 + 0.94036I
2.44358 + 6.00898I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.656088 + 0.255849I
a = 0.52898 − 1.37981I
b = −0.681640 + 0.041539I
3.76926 + 1.77877I 0
u = 0.656088 − 0.255849I
a = 0.52898 + 1.37981I
b = −0.681640 − 0.041539I
3.76926 − 1.77877I 0
u = 0.024261 + 1.300360I
a = 0.80241 + 1.25166I
b = 0.392384 + 0.629169I
−1.84210 + 3.58791I 0
u = 0.024261 − 1.300360I
a = 0.80241 − 1.25166I
b = 0.392384 − 0.629169I
−1.84210 − 3.58791I 0
u = 0.634032 + 0.204038I
a = −0.266567 + 0.023162I
b = 0.96643 + 1.09114I
1.81642 + 6.34178I 0
u = 0.634032 − 0.204038I
a = −0.266567 − 0.023162I
b = 0.96643 − 1.09114I
1.81642 − 6.34178I 0
u = −0.591817 + 0.305159I
a = 0.47167 + 1.82209I
b = −0.722007 + 0.064641I
2.08204 − 7.64852I 0
u = −0.591817 − 0.305159I
a = 0.47167 − 1.82209I
b = −0.722007 − 0.064641I
2.08204 + 7.64852I 0
u = −0.115208 + 1.393630I
a = 0.36616 + 1.69593I
b = −0.175512 + 0.385658I
−7.28259 − 1.99857I 0
u = −0.115208 − 1.393630I
a = 0.36616 − 1.69593I
b = −0.175512 − 0.385658I
−7.28259 + 1.99857I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.576843 + 0.161115I
a = −0.352819 + 0.183120I
b = 1.02384 − 0.98527I
2.25476 − 1.57690I 0
u = −0.576843 − 0.161115I
a = −0.352819 − 0.183120I
b = 1.02384 + 0.98527I
2.25476 + 1.57690I 0
u = 0.157819 + 1.404700I
a = 0.38426 + 2.21112I
b = 1.16806 + 1.82923I
−3.28021 + 9.03412I 0
u = 0.157819 − 1.404700I
a = 0.38426 − 2.21112I
b = 1.16806 − 1.82923I
−3.28021 − 9.03412I 0
u = −0.129646 + 1.407920I
a = 0.52271 − 2.11793I
b = 1.31501 − 1.72724I
−2.74273 − 3.87928I 0
u = −0.129646 − 1.407920I
a = 0.52271 + 2.11793I
b = 1.31501 + 1.72724I
−2.74273 + 3.87928I 0
u = −0.00898 + 1.41834I
a = 0.869029 − 0.280038I
b = 1.89525 − 0.21062I
−1.87843 − 2.86423I 0
u = −0.00898 − 1.41834I
a = 0.869029 + 0.280038I
b = 1.89525 + 0.21062I
−1.87843 + 2.86423I 0
u = 0.425893 + 0.388958I
a = 0.749508 + 0.920587I
b = 1.090570 − 0.092383I
3.04373 + 2.24122I 0
u = 0.425893 − 0.388958I
a = 0.749508 − 0.920587I
b = 1.090570 + 0.092383I
3.04373 − 2.24122I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.17101 + 1.41706I
a = −0.19054 − 1.45824I
b = −0.198228 − 0.320181I
−1.56608 + 4.61751I 0
u = 0.17101 − 1.41706I
a = −0.19054 + 1.45824I
b = −0.198228 + 0.320181I
−1.56608 − 4.61751I 0
u = −0.16050 + 1.44536I
a = −0.35715 + 1.61866I
b = −0.235486 + 0.363547I
−3.57964 − 10.24340I 0
u = −0.16050 − 1.44536I
a = −0.35715 − 1.61866I
b = −0.235486 − 0.363547I
−3.57964 + 10.24340I 0
u = −0.168418 + 0.494494I
a = 0.674329 − 0.621285I
b = −0.789301 − 0.837924I
−4.60689 − 1.43800I −13.8922 + 4.9797I
u = −0.168418 − 0.494494I
a = 0.674329 + 0.621285I
b = −0.789301 + 0.837924I
−4.60689 + 1.43800I −13.8922 − 4.9797I
u = −0.06341 + 1.47689I
a = 0.08778 − 1.68631I
b = 1.04337 − 1.10273I
−5.88104 − 3.96728I 0
u = −0.06341 − 1.47689I
a = 0.08778 + 1.68631I
b = 1.04337 + 1.10273I
−5.88104 + 3.96728I 0
u = 0.01989 + 1.48051I
a = −0.49414 + 1.42885I
b = 0.790106 + 0.712369I
−9.73015 + 0.95948I 0
u = 0.01989 − 1.48051I
a = −0.49414 − 1.42885I
b = 0.790106 − 0.712369I
−9.73015 − 0.95948I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.043249 + 0.511103I
a = 1.214090 + 0.126404I
b = 0.109302 + 0.541830I
−0.583972 + 1.101550I −4.23096 − 5.60583I
u = −0.043249 − 0.511103I
a = 1.214090 − 0.126404I
b = 0.109302 − 0.541830I
−0.583972 − 1.101550I −4.23096 + 5.60583I
u = 0.133560 + 0.491181I
a = −1.90389 + 2.49784I
b = 0.372651 + 1.063630I
−1.26012 + 7.38742I −9.26674 − 9.57442I
u = 0.133560 − 0.491181I
a = −1.90389 − 2.49784I
b = 0.372651 − 1.063630I
−1.26012 − 7.38742I −9.26674 + 9.57442I
u = 0.04176 + 1.49067I
a = −0.47373 + 2.05790I
b = −0.89918 + 1.88657I
−5.92601 + 2.68412I 0
u = 0.04176 − 1.49067I
a = −0.47373 − 2.05790I
b = −0.89918 − 1.88657I
−5.92601 − 2.68412I 0
u = −0.04847 + 1.49413I
a = −0.78279 − 2.21960I
b = −1.18996 − 2.09454I
−7.06887 − 8.05152I 0
u = −0.04847 − 1.49413I
a = −0.78279 + 2.21960I
b = −1.18996 + 2.09454I
−7.06887 + 8.05152I 0
u = −0.285640 + 0.411254I
a = −1.67724 − 1.34413I
b = 0.674173 − 0.951931I
0.21801 − 2.84449I −6.69111 + 5.42023I
u = −0.285640 − 0.411254I
a = −1.67724 + 1.34413I
b = 0.674173 + 0.951931I
0.21801 + 2.84449I −6.69111 − 5.42023I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.00411 + 1.49940I
a = −0.034013 + 1.247090I
b = −0.654002 + 1.001360I
−7.13066 + 0.99619I 0
u = −0.00411 − 1.49940I
a = −0.034013 − 1.247090I
b = −0.654002 − 1.001360I
−7.13066 − 0.99619I 0
u = −0.493767
a = 2.39133
b = −0.433102
−2.78828 7.19090
u = 0.18593 + 1.49544I
a = 0.23693 + 1.86590I
b = 0.87674 + 1.52250I
−6.47122 + 5.38417I 0
u = 0.18593 − 1.49544I
a = 0.23693 − 1.86590I
b = 0.87674 − 1.52250I
−6.47122 − 5.38417I 0
u = −0.302379 + 0.376139I
a = −1.71287 − 1.05933I
b = 0.703159 − 0.906006I
0.21546 − 2.84638I −6.97104 + 4.61346I
u = −0.302379 − 0.376139I
a = −1.71287 + 1.05933I
b = 0.703159 + 0.906006I
0.21546 + 2.84638I −6.97104 − 4.61346I
u = −0.04149 + 1.51691I
a = −0.96225 − 1.36156I
b = −1.48240 − 1.28111I
−11.33610 − 2.16379I 0
u = −0.04149 − 1.51691I
a = −0.96225 + 1.36156I
b = −1.48240 + 1.28111I
−11.33610 + 2.16379I 0
u = 0.05434 + 1.51815I
a = −0.16809 + 1.99980I
b = 0.731255 + 1.191720I
−8.00857 + 8.15289I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.05434 − 1.51815I
a = −0.16809 − 1.99980I
b = 0.731255 − 1.191720I
−8.00857 − 8.15289I 0
u = −0.373708 + 0.296677I
a = 0.88807 − 1.11270I
b = 1.096980 + 0.324651I
2.95451 + 2.86833I 3.36195 − 2.49580I
u = −0.373708 − 0.296677I
a = 0.88807 + 1.11270I
b = 1.096980 − 0.324651I
2.95451 − 2.86833I 3.36195 + 2.49580I
u = −0.10664 + 1.51935I
a = 0.22505 − 2.09878I
b = 0.90901 − 1.42641I
−6.35860 − 4.41080I 0
u = −0.10664 − 1.51935I
a = 0.22505 + 2.09878I
b = 0.90901 + 1.42641I
−6.35860 + 4.41080I 0
u = 0.05280 + 1.53825I
a = 0.402096 − 0.887123I
b = −0.428055 − 0.647065I
−8.71760 + 2.74837I 0
u = 0.05280 − 1.53825I
a = 0.402096 + 0.887123I
b = −0.428055 + 0.647065I
−8.71760 − 2.74837I 0
u = 0.14504 + 1.53284I
a = 0.64806 + 2.06392I
b = 1.03840 + 1.49297I
−4.07088 + 3.44664I 0
u = 0.14504 − 1.53284I
a = 0.64806 − 2.06392I
b = 1.03840 − 1.49297I
−4.07088 − 3.44664I 0
u = −0.14024 + 1.53676I
a = 0.56247 − 2.18445I
b = 1.00171 − 1.53117I
−4.45856 − 8.25061I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.14024 − 1.53676I
a = 0.56247 + 2.18445I
b = 1.00171 + 1.53117I
−4.45856 + 8.25061I 0
u = −0.27255 + 1.51955I
a = 0.195877 + 1.185480I
b = −0.840322 + 0.828531I
−8.98422 − 2.06627I 0
u = −0.27255 − 1.51955I
a = 0.195877 − 1.185480I
b = −0.840322 − 0.828531I
−8.98422 + 2.06627I 0
u = −0.28033 + 1.53573I
a = −0.26383 − 1.52176I
b = 0.40843 − 1.42778I
−8.75486 − 10.30910I 0
u = −0.28033 − 1.53573I
a = −0.26383 + 1.52176I
b = 0.40843 + 1.42778I
−8.75486 + 10.30910I 0
u = 0.24337 + 1.54346I
a = −0.01182 + 1.50878I
b = 0.59140 + 1.35558I
−6.98088 + 5.42866I 0
u = 0.24337 − 1.54346I
a = −0.01182 − 1.50878I
b = 0.59140 − 1.35558I
−6.98088 − 5.42866I 0
u = 0.01178 + 1.58913I
a = 0.641897 − 0.168948I
b = −0.271936 − 0.128015I
−8.82523 − 1.97090I 0
u = 0.01178 − 1.58913I
a = 0.641897 + 0.168948I
b = −0.271936 + 0.128015I
−8.82523 + 1.97090I 0
u = −0.02508 + 1.59144I
a = −1.009020 − 0.130899I
b = −1.67399 − 0.14333I
−7.47157 + 2.79606I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.02508 − 1.59144I
a = −1.009020 + 0.130899I
b = −1.67399 + 0.14333I
−7.47157 − 2.79606I 0
u = 0.29032 + 1.56776I
a = −0.113460 − 1.241150I
b = −1.09373 − 0.90987I
−6.07812 + 7.75295I 0
u = 0.29032 − 1.56776I
a = −0.113460 + 1.241150I
b = −1.09373 + 0.90987I
−6.07812 − 7.75295I 0
u = −0.26636 + 1.57594I
a = −0.09034 + 1.56042I
b = −1.05795 + 1.17553I
−12.0378 − 10.9576I 0
u = −0.26636 − 1.57594I
a = −0.09034 − 1.56042I
b = −1.05795 − 1.17553I
−12.0378 + 10.9576I 0
u = 0.26841 + 1.58317I
a = −0.32622 − 1.64413I
b = −1.25343 − 1.25103I
−4.92983 + 12.86050I 0
u = 0.26841 − 1.58317I
a = −0.32622 + 1.64413I
b = −1.25343 + 1.25103I
−4.92983 − 12.86050I 0
u = −0.26752 + 1.58339I
a = −0.30850 + 1.73916I
b = −1.23745 + 1.32967I
−6.6376 − 18.8784I 0
u = −0.26752 − 1.58339I
a = −0.30850 − 1.73916I
b = −1.23745 − 1.32967I
−6.6376 + 18.8784I 0
u = 0.079914 + 0.385929I
a = 1.34385 + 0.96840I
b = −0.197854 + 1.399100I
0.38074 + 2.13295I −8.06531 − 3.36010I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.079914 − 0.385929I
a = 1.34385 − 0.96840I
b = −0.197854 − 1.399100I
0.38074 − 2.13295I −8.06531 + 3.36010I
u = −0.124602 + 0.372020I
a = 1.08454 − 1.22656I
b = −0.51124 − 1.57855I
−0.76549 − 7.36979I −11.6376 + 9.9079I
u = −0.124602 − 0.372020I
a = 1.08454 + 1.22656I
b = −0.51124 + 1.57855I
−0.76549 + 7.36979I −11.6376 − 9.9079I
u = −0.28126 + 1.60247I
a = −0.166117 − 1.072350I
b = 0.376756 − 1.067930I
−11.73370 − 3.25560I 0
u = −0.28126 − 1.60247I
a = −0.166117 + 1.072350I
b = 0.376756 + 1.067930I
−11.73370 + 3.25560I 0
u = 0.020949 + 0.285794I
a = −4.58206 + 3.66281I
b = 0.263329 + 0.553117I
−3.70855 + 0.73359I −16.7166 − 9.5133I
u = 0.020949 − 0.285794I
a = −4.58206 − 3.66281I
b = 0.263329 − 0.553117I
−3.70855 − 0.73359I −16.7166 + 9.5133I
u = 0.12107 + 1.71586I
a = 0.578766 + 0.472770I
b = 0.878169 + 0.444612I
−4.52826 + 3.17528I 0
u = 0.12107 − 1.71586I
a = 0.578766 − 0.472770I
b = 0.878169 − 0.444612I
−4.52826 − 3.17528I 0
u = −0.0497810 + 0.0929399I
a = 7.44487 − 4.20522I
b = 1.280570 + 0.208471I
2.95956 + 2.70189I 5.86567 − 2.43133I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.0497810 − 0.0929399I
a = 7.44487 + 4.20522I
b = 1.280570 − 0.208471I
2.95956 − 2.70189I 5.86567 + 2.43133I
u = −0.46323 + 1.87823I
a = −0.050476 − 0.185973I
b = 0.207519 − 0.324822I
−5.20296 + 3.54902I 0
u = −0.46323 − 1.87823I
a = −0.050476 + 0.185973I
b = 0.207519 + 0.324822I
−5.20296 − 3.54902I 0
18
II. I
u
2
= h−2338u
25
− 12252u
24
+ · · · + 18671b − 18146, −15486u
25
−
29931u
24
+ · · · + 18671a + 59714, u
26
+ u
25
+ · · · − 2u + 1i
(i) Arc colorings
a
5
=
0
u
a
11
=
1
0
a
12
=
1
−u
2
a
4
=
−u
u
3
+ u
a
1
=
u
2
+ 1
−u
4
− 2u
2
a
9
=
0.829415u
25
+ 1.60307u
24
+ ··· − 0.740882u − 3.19822
0.125221u
25
+ 0.656205u
24
+ ··· − 0.977023u + 0.971882
a
3
=
−2.09276u
25
− 1.79921u
24
+ ··· − 3.64747u + 3.71544
0.105458u
25
+ 0.228429u
24
+ ··· − 1.03240u − 0.421884
a
2
=
−1.49285u
25
− 1.58101u
24
+ ··· − 3.25639u + 2.81726
0.165979u
25
− 0.374859u
24
+ ··· + 1.26185u − 2.57919
a
8
=
0.704194u
25
+ 0.946869u
24
+ ··· + 0.236142u − 4.17010
0.125221u
25
+ 0.656205u
24
+ ··· − 0.977023u + 0.971882
a
6
=
−1.21456u
25
− 2.18339u
24
+ ··· + 2.68604u + 2.67093
−0.757324u
25
− 0.663275u
24
+ ··· − 0.761716u + 0.295806
a
10
=
0.704194u
25
+ 0.946869u
24
+ ··· + 0.236142u − 3.17010
0.0311713u
25
+ 0.129988u
24
+ ··· + 0.241819u + 0.214557
a
7
=
−0.170585u
25
− 0.396926u
24
+ ··· + 1.25912u − 1.19822
0.253923u
25
+ 0.198061u
24
+ ··· − 0.591988u − 1.31750
(ii) Obstruction class = 1
(iii) Cusp Shapes =
13065
18671
u
25
−
93057
18671
u
24
+ ··· +
33119
18671
u −
46928
18671
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
26
− 11u
25
+ ··· − 8u + 1
c
2
u
26
− u
25
+ ··· − 4u
2
+ 1
c
3
u
26
+ u
25
+ ··· + 6u + 1
c
4
u
26
− u
25
+ ··· + 2u + 1
c
5
u
26
− 2u
25
+ ··· + 8u
2
+ 1
c
6
u
26
+ u
25
+ ··· − 4u
2
+ 1
c
7
u
26
− 13u
25
+ ··· − u + 1
c
8
u
26
+ 13u
25
+ ··· + 4u + 1
c
9
u
26
− 2u
24
+ ··· + 6u + 1
c
10
u
26
+ 8u
24
+ ··· − 2u + 1
c
11
, c
12
u
26
+ u
25
+ ··· − 2u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
26
+ 13y
25
+ ··· + 12y + 1
c
2
, c
6
y
26
− 11y
25
+ ··· − 8y + 1
c
3
y
26
− 7y
25
+ ··· − 2y + 1
c
4
, c
11
, c
12
y
26
+ 33y
25
+ ··· − 8y + 1
c
5
y
26
+ 6y
25
+ ··· + 16y + 1
c
7
y
26
+ 11y
25
+ ··· − 3y + 1
c
8
y
26
+ 11y
25
+ ··· + 8y + 1
c
9
y
26
− 4y
25
+ ··· + 4y + 1
c
10
y
26
+ 16y
25
+ ··· + 6y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.306726 + 1.016270I
a = 1.009030 + 0.212230I
b = 0.525737 + 0.576345I
−1.165190 − 0.538608I −7.35887 − 3.73390I
u = −0.306726 − 1.016270I
a = 1.009030 − 0.212230I
b = 0.525737 − 0.576345I
−1.165190 + 0.538608I −7.35887 + 3.73390I
u = −0.034817 + 1.078400I
a = 1.81430 + 0.13995I
b = 1.303250 + 0.184179I
0.86339 + 2.47360I 2.30818 − 4.00300I
u = −0.034817 − 1.078400I
a = 1.81430 − 0.13995I
b = 1.303250 − 0.184179I
0.86339 − 2.47360I 2.30818 + 4.00300I
u = −0.711496 + 0.464994I
a = −0.527123 − 0.262693I
b = 0.777504 − 0.585568I
1.32513 − 3.20472I 3.11109 + 4.54506I
u = −0.711496 − 0.464994I
a = −0.527123 + 0.262693I
b = 0.777504 + 0.585568I
1.32513 + 3.20472I 3.11109 − 4.54506I
u = −0.158130 + 0.779991I
a = −0.305083 − 0.215574I
b = 1.249920 − 0.233233I
1.99246 − 3.04733I −0.75776 + 5.91791I
u = −0.158130 − 0.779991I
a = −0.305083 + 0.215574I
b = 1.249920 + 0.233233I
1.99246 + 3.04733I −0.75776 − 5.91791I
u = 0.15454 + 1.42846I
a = −0.40655 + 1.69689I
b = 0.529960 + 0.825495I
−7.82210 + 2.49671I −8.54154 − 6.19463I
u = 0.15454 − 1.42846I
a = −0.40655 − 1.69689I
b = 0.529960 − 0.825495I
−7.82210 − 2.49671I −8.54154 + 6.19463I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.11438 + 1.48378I
a = −0.06466 + 2.44794I
b = 0.35186 + 1.84021I
−5.73465 + 9.02428I −6.51420 − 9.56426I
u = 0.11438 − 1.48378I
a = −0.06466 − 2.44794I
b = 0.35186 − 1.84021I
−5.73465 − 9.02428I −6.51420 + 9.56426I
u = −0.11780 + 1.49817I
a = 0.30612 − 2.40096I
b = 0.79427 − 1.88854I
−4.78825 − 4.25777I −4.81827 + 4.73004I
u = −0.11780 − 1.49817I
a = 0.30612 + 2.40096I
b = 0.79427 + 1.88854I
−4.78825 + 4.25777I −4.81827 − 4.73004I
u = −0.422673 + 0.243766I
a = −1.113300 − 0.731265I
b = 0.578656 − 1.206060I
1.22560 − 2.44010I 1.93579 + 5.46846I
u = −0.422673 − 0.243766I
a = −1.113300 + 0.731265I
b = 0.578656 + 1.206060I
1.22560 + 2.44010I 1.93579 − 5.46846I
u = −0.16092 + 1.52352I
a = 0.46164 − 1.66303I
b = 1.17104 − 1.22369I
−5.32973 − 5.96540I −3.53463 + 6.55412I
u = −0.16092 − 1.52352I
a = 0.46164 + 1.66303I
b = 1.17104 + 1.22369I
−5.32973 + 5.96540I −3.53463 − 6.55412I
u = 0.03992 + 1.53952I
a = 0.254043 + 0.361221I
b = −0.618333 + 0.066820I
−9.92387 + 0.69803I −11.72683 − 0.12412I
u = 0.03992 − 1.53952I
a = 0.254043 − 0.361221I
b = −0.618333 − 0.066820I
−9.92387 − 0.69803I −11.72683 + 0.12412I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.369644 + 0.227091I
a = −0.57419 + 2.52797I
b = 0.084942 − 0.295992I
−3.33177 − 0.48320I −3.06570 − 0.11585I
u = 0.369644 − 0.227091I
a = −0.57419 − 2.52797I
b = 0.084942 + 0.295992I
−3.33177 + 0.48320I −3.06570 + 0.11585I
u = 0.404112 + 0.132908I
a = −1.77340 + 0.54695I
b = 0.099371 + 1.192210I
−0.03602 + 7.28389I 0.19876 − 8.70223I
u = 0.404112 − 0.132908I
a = −1.77340 − 0.54695I
b = 0.099371 − 1.192210I
−0.03602 − 7.28389I 0.19876 + 8.70223I
u = 0.32997 + 1.86158I
a = −0.0808278 − 0.0704723I
b = −0.348193 − 0.202080I
−5.10848 − 3.59449I 16.2640 + 25.5553I
u = 0.32997 − 1.86158I
a = −0.0808278 + 0.0704723I
b = −0.348193 + 0.202080I
−5.10848 + 3.59449I 16.2640 − 25.5553I
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
26
− 11u
25
+ ··· − 8u + 1)(u
133
+ 52u
132
+ ··· + 48754u + 1849)
c
2
(u
26
− u
25
+ ··· − 4u
2
+ 1)(u
133
− 26u
131
+ ··· + 54u + 43)
c
3
(u
26
+ u
25
+ ··· + 6u + 1)(u
133
− 2u
132
+ ··· + 11980u + 919)
c
4
(u
26
− u
25
+ ··· + 2u + 1)(u
133
+ 4u
132
+ ··· + 18u + 1)
c
5
(u
26
− 2u
25
+ ··· + 8u
2
+ 1)(u
133
+ 11u
132
+ ··· + 114108u + 20779)
c
6
(u
26
+ u
25
+ ··· − 4u
2
+ 1)(u
133
− 26u
131
+ ··· + 54u + 43)
c
7
(u
26
− 13u
25
+ ··· − u + 1)(u
133
+ 12u
132
+ ··· − 10013u + 1819)
c
8
(u
26
+ 13u
25
+ ··· + 4u + 1)(u
133
− 8u
132
+ ··· + 4740u + 2736)
c
9
(u
26
− 2u
24
+ ··· + 6u + 1)(u
133
+ 3u
132
+ ··· + 42284u − 2231)
c
10
(u
26
+ 8u
24
+ ··· − 2u + 1)(u
133
+ u
132
+ ··· + 22010u − 1007)
c
11
, c
12
(u
26
+ u
25
+ ··· − 2u + 1)(u
133
+ 4u
132
+ ··· + 18u + 1)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
26
+ 13y
25
+ ··· + 12y + 1)
· (y
133
+ 64y
132
+ ··· − 347471326y −3418801)
c
2
, c
6
(y
26
− 11y
25
+ ··· − 8y + 1)(y
133
− 52y
132
+ ··· + 48754y −1849)
c
3
(y
26
− 7y
25
+ ··· − 2y + 1)
· (y
133
− 16y
132
+ ··· + 28417488y −844561)
c
4
, c
11
, c
12
(y
26
+ 33y
25
+ ··· − 8y + 1)(y
133
+ 144y
132
+ ··· − 178y −1)
c
5
(y
26
+ 6y
25
+ ··· + 16y + 1)
· (y
133
+ 37y
132
+ ··· − 27554143614y −431766841)
c
7
(y
26
+ 11y
25
+ ··· − 3y + 1)
· (y
133
+ 2y
132
+ ··· + 17932229y −3308761)
c
8
(y
26
+ 11y
25
+ ··· + 8y + 1)
· (y
133
+ 26y
132
+ ··· − 64564560y −7485696)
c
9
(y
26
− 4y
25
+ ··· + 4y + 1)
· (y
133
− 25y
132
+ ··· + 651416174y −4977361)
c
10
(y
26
+ 16y
25
+ ··· + 6y + 1)
· (y
133
+ 35y
132
+ ··· + 25824104y −1014049)
26
