12a
0607
(K12a
0607
)
A knot diagram
1
Linearized knot diagam
3 7 9 12 10 2 11 1 5 6 8 4
Solving Sequence
2,6
7
3,11
8 12 1 10 5 4 9
c
6
c
2
c
7
c
11
c
1
c
10
c
5
c
4
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.26145 × 10
231
u
113
+ 5.03095 × 10
231
u
112
+ ··· + 2.30777 × 10
232
b − 4.08208 × 10
232
,
1.92889 × 10
232
u
113
− 6.36228 × 10
232
u
112
+ ··· + 2.30777 × 10
232
a − 1.06029 × 10
233
, u
114
− 3u
113
+ ··· − 9u + 1i
I
u
2
= h−21u
27
+ 10u
26
+ ··· + 2b − 19, −70u
27
+ 54u
26
+ ··· + 2a − 63, u
28
− 7u
26
+ ··· − 7u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 142 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−2.26 × 10
231
u
113
+ 5.03 × 10
231
u
112
+ · · · + 2.31 × 10
232
b − 4.08 ×
10
232
, 1.93 × 10
232
u
113
− 6.36 × 10
232
u
112
+ · · · + 2.31 × 10
232
a − 1.06 ×
10
233
, u
114
− 3u
113
+ · · · − 9u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
11
=
−0.835823u
113
+ 2.75689u
112
+ ··· + 12.9197u + 4.59444
0.0979929u
113
− 0.218000u
112
+ ··· − 1.42503u + 1.76884
a
8
=
−0.140571u
113
+ 0.865203u
112
+ ··· + 20.0913u − 9.45803
0.0539117u
113
+ 0.0112822u
112
+ ··· + 4.42174u − 3.00291
a
12
=
−1.04769u
113
+ 3.21627u
112
+ ··· + 12.2084u − 6.84623
−0.162523u
113
+ 0.434835u
112
+ ··· − 2.74906u − 2.14289
a
1
=
u
3
u
5
− u
3
+ u
a
10
=
−0.933816u
113
+ 2.97489u
112
+ ··· + 14.3447u + 2.82560
0.0979929u
113
− 0.218000u
112
+ ··· − 1.42503u + 1.76884
a
5
=
−0.603142u
113
+ 1.89788u
112
+ ··· + 5.83444u + 6.88505
−0.0853653u
113
+ 0.0879853u
112
+ ··· − 4.45011u + 3.08256
a
4
=
0.240716u
113
− 0.351628u
112
+ ··· + 104.338u − 3.46261
−0.129888u
113
+ 0.442143u
112
+ ··· + 34.0231u − 0.816845
a
9
=
−0.127045u
113
+ 0.763359u
112
+ ··· + 19.0070u − 9.34243
0.0914259u
113
− 0.176272u
112
+ ··· + 1.60745u − 2.70612
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.28402u
113
+ 7.67069u
112
+ ··· + 6.89091u + 6.29754
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
114
+ 41u
113
+ ··· − 29u + 1
c
2
, c
6
u
114
− 3u
113
+ ··· − 9u + 1
c
3
u
114
− u
113
+ ··· + 621u − 135
c
4
, c
12
u
114
+ 5u
113
+ ··· − 4u + 1
c
5
, c
9
, c
10
u
114
+ u
113
+ ··· − 18u − 19
c
7
, c
11
u
114
+ 3u
113
+ ··· + 9623u − 24763
c
8
u
114
+ 2u
113
+ ··· + 3u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
114
+ 75y
113
+ ··· + 6061y + 1
c
2
, c
6
y
114
− 41y
113
+ ··· + 29y + 1
c
3
y
114
− 11y
113
+ ··· − 978561y + 18225
c
4
, c
12
y
114
+ 65y
113
+ ··· − 44y + 1
c
5
, c
9
, c
10
y
114
− 123y
113
+ ··· + 38854y + 361
c
7
, c
11
y
114
− 99y
113
+ ··· − 42189999285y + 613206169
c
8
y
114
− 8y
113
+ ··· − 169y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.687146 + 0.735720I
a = −0.711893 − 0.154086I
b = 1.62059 − 0.07956I
10.22650 − 1.77188I 0
u = −0.687146 − 0.735720I
a = −0.711893 + 0.154086I
b = 1.62059 + 0.07956I
10.22650 + 1.77188I 0
u = −0.416841 + 0.898796I
a = 0.593965 − 0.281830I
b = 0.419388 + 0.044804I
1.18254 + 4.12227I 0
u = −0.416841 − 0.898796I
a = 0.593965 + 0.281830I
b = 0.419388 − 0.044804I
1.18254 − 4.12227I 0
u = 0.656531 + 0.741360I
a = −0.303134 + 0.456349I
b = 1.52215 + 0.05789I
9.90297 − 1.32162I 0
u = 0.656531 − 0.741360I
a = −0.303134 − 0.456349I
b = 1.52215 − 0.05789I
9.90297 + 1.32162I 0
u = 1.022400 + 0.102373I
a = 0.09858 + 1.51788I
b = 0.197689 + 0.736964I
−5.82932 + 1.67100I 0
u = 1.022400 − 0.102373I
a = 0.09858 − 1.51788I
b = 0.197689 − 0.736964I
−5.82932 − 1.67100I 0
u = −0.966026 + 0.044927I
a = −0.86533 − 1.32827I
b = −1.349860 − 0.318487I
−0.96786 + 5.47578I 0
u = −0.966026 − 0.044927I
a = −0.86533 + 1.32827I
b = −1.349860 + 0.318487I
−0.96786 − 5.47578I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.674987 + 0.789459I
a = 0.149508 − 0.108550I
b = 1.64038 + 0.36093I
10.44150 + 2.65068I 0
u = 0.674987 − 0.789459I
a = 0.149508 + 0.108550I
b = 1.64038 − 0.36093I
10.44150 − 2.65068I 0
u = −0.694806 + 0.781406I
a = −0.085877 + 0.391899I
b = 1.76063 − 0.18976I
10.74210 + 1.01393I 0
u = −0.694806 − 0.781406I
a = −0.085877 − 0.391899I
b = 1.76063 + 0.18976I
10.74210 − 1.01393I 0
u = −0.663472 + 0.826356I
a = 0.572692 − 0.380758I
b = 0.735129 − 0.861124I
2.66493 − 7.25563I 0
u = −0.663472 − 0.826356I
a = 0.572692 + 0.380758I
b = 0.735129 + 0.861124I
2.66493 + 7.25563I 0
u = −1.031320 + 0.247644I
a = 0.73338 + 1.41269I
b = 0.928652 + 0.388462I
−3.62383 + 2.35168I 0
u = −1.031320 − 0.247644I
a = 0.73338 − 1.41269I
b = 0.928652 − 0.388462I
−3.62383 − 2.35168I 0
u = 0.760682 + 0.745312I
a = −1.22079 − 1.02252I
b = 1.47330 + 0.09412I
4.21030 + 4.72580I 0
u = 0.760682 − 0.745312I
a = −1.22079 + 1.02252I
b = 1.47330 − 0.09412I
4.21030 − 4.72580I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.853183 + 0.637547I
a = 0.133748 − 0.301643I
b = −0.820294 − 0.338861I
1.91540 + 0.28860I 0
u = 0.853183 − 0.637547I
a = 0.133748 + 0.301643I
b = −0.820294 + 0.338861I
1.91540 − 0.28860I 0
u = −1.022870 + 0.303089I
a = 0.087397 − 0.691848I
b = 0.106734 − 0.416579I
−1.67757 + 1.43149I 0
u = −1.022870 − 0.303089I
a = 0.087397 + 0.691848I
b = 0.106734 + 0.416579I
−1.67757 − 1.43149I 0
u = −0.744192 + 0.769898I
a = −0.873971 + 0.992561I
b = 1.52165 + 0.02535I
7.84290 + 0.07695I 0
u = −0.744192 − 0.769898I
a = −0.873971 − 0.992561I
b = 1.52165 − 0.02535I
7.84290 − 0.07695I 0
u = 0.701261 + 0.809937I
a = −0.76258 − 1.30558I
b = 1.391660 − 0.240173I
4.02139 − 5.25665I 0
u = 0.701261 − 0.809937I
a = −0.76258 + 1.30558I
b = 1.391660 + 0.240173I
4.02139 + 5.25665I 0
u = 0.652489 + 0.850184I
a = 0.500471 + 0.385406I
b = 0.708591 + 0.564396I
5.94392 + 1.82084I 0
u = 0.652489 − 0.850184I
a = 0.500471 − 0.385406I
b = 0.708591 − 0.564396I
5.94392 − 1.82084I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.073140 + 0.020166I
a = −2.24488 − 0.16611I
b = −1.52097 + 0.06557I
4.97270 + 1.30211I 0
u = 1.073140 − 0.020166I
a = −2.24488 + 0.16611I
b = −1.52097 − 0.06557I
4.97270 − 1.30211I 0
u = 0.829568 + 0.711577I
a = −0.66425 − 1.58449I
b = 0.582614 − 1.102900I
1.93395 + 0.79079I 0
u = 0.829568 − 0.711577I
a = −0.66425 + 1.58449I
b = 0.582614 + 1.102900I
1.93395 − 0.79079I 0
u = 0.865431 + 0.672196I
a = −0.48048 − 1.68943I
b = 0.600183 − 0.350005I
1.87096 − 5.40732I 0
u = 0.865431 − 0.672196I
a = −0.48048 + 1.68943I
b = 0.600183 + 0.350005I
1.87096 + 5.40732I 0
u = −1.098690 + 0.025423I
a = −2.28293 − 0.07852I
b = −1.394210 − 0.160736I
4.53228 + 2.12178I 0
u = −1.098690 − 0.025423I
a = −2.28293 + 0.07852I
b = −1.394210 + 0.160736I
4.53228 − 2.12178I 0
u = −0.862622 + 0.682659I
a = −0.107962 + 1.334120I
b = −0.094957 + 0.360332I
3.80188 + 2.63299I 0
u = −0.862622 − 0.682659I
a = −0.107962 − 1.334120I
b = −0.094957 − 0.360332I
3.80188 − 2.63299I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.972129 + 0.515032I
a = −0.299722 − 1.098280I
b = 0.635707 − 0.346720I
−0.23772 − 4.14498I 0
u = 0.972129 − 0.515032I
a = −0.299722 + 1.098280I
b = 0.635707 + 0.346720I
−0.23772 + 4.14498I 0
u = 1.078820 + 0.253934I
a = −0.295447 + 0.454772I
b = −1.194550 + 0.023824I
1.73914 − 0.34165I 0
u = 1.078820 − 0.253934I
a = −0.295447 − 0.454772I
b = −1.194550 − 0.023824I
1.73914 + 0.34165I 0
u = −0.860383 + 0.700798I
a = −0.58733 + 1.30064I
b = 0.034847 + 0.933766I
4.04070 + 2.66294I 0
u = −0.860383 − 0.700798I
a = −0.58733 − 1.30064I
b = 0.034847 − 0.933766I
4.04070 − 2.66294I 0
u = −0.872136 + 0.695957I
a = −0.530562 + 1.086410I
b = −0.245542 + 0.864719I
4.00377 + 2.70161I 0
u = −0.872136 − 0.695957I
a = −0.530562 − 1.086410I
b = −0.245542 − 0.864719I
4.00377 − 2.70161I 0
u = 0.902561 + 0.702531I
a = −0.835313 − 0.646351I
b = −0.763977 − 1.091830I
1.70809 − 6.20997I 0
u = 0.902561 − 0.702531I
a = −0.835313 + 0.646351I
b = −0.763977 + 1.091830I
1.70809 + 6.20997I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.137270 + 0.138672I
a = −0.736925 + 1.104060I
b = −0.284580 + 0.620295I
−4.02177 − 6.73618I 0
u = 1.137270 − 0.138672I
a = −0.736925 − 1.104060I
b = −0.284580 − 0.620295I
−4.02177 + 6.73618I 0
u = −0.658818 + 0.538012I
a = 0.632654 − 0.504067I
b = −0.106596 − 0.602936I
−0.81300 + 2.04247I 0
u = −0.658818 − 0.538012I
a = 0.632654 + 0.504067I
b = −0.106596 + 0.602936I
−0.81300 − 2.04247I 0
u = −1.018230 + 0.572015I
a = −0.825410 + 0.893886I
b = 0.450106 + 0.523077I
−3.04314 + 7.76053I 0
u = −1.018230 − 0.572015I
a = −0.825410 − 0.893886I
b = 0.450106 − 0.523077I
−3.04314 − 7.76053I 0
u = −0.819327 + 0.048463I
a = 0.35946 − 1.74798I
b = −0.977420 − 0.553553I
−2.04792 − 2.57909I 0
u = −0.819327 − 0.048463I
a = 0.35946 + 1.74798I
b = −0.977420 + 0.553553I
−2.04792 + 2.57909I 0
u = 0.960415 + 0.709234I
a = 0.87680 + 1.44795I
b = −1.52758 + 0.16787I
3.59710 − 10.27140I 0
u = 0.960415 − 0.709234I
a = 0.87680 − 1.44795I
b = −1.52758 − 0.16787I
3.59710 + 10.27140I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.640881 + 1.013880I
a = 0.156682 − 0.032729I
b = −1.61385 − 0.26973I
10.3917 + 11.4294I 0
u = 0.640881 − 1.013880I
a = 0.156682 + 0.032729I
b = −1.61385 + 0.26973I
10.3917 − 11.4294I 0
u = 1.084260 + 0.520592I
a = 0.844079 − 0.332678I
b = 0.847667 + 0.398395I
−2.03832 − 4.47053I 0
u = 1.084260 − 0.520592I
a = 0.844079 + 0.332678I
b = 0.847667 − 0.398395I
−2.03832 + 4.47053I 0
u = −0.975926 + 0.722744I
a = 0.427427 − 1.309440I
b = −1.55466 − 0.07819I
7.13663 + 5.58384I 0
u = −0.975926 − 0.722744I
a = 0.427427 + 1.309440I
b = −1.55466 + 0.07819I
7.13663 − 5.58384I 0
u = −1.001810 + 0.689576I
a = −0.00485 − 2.22149I
b = −1.57683 − 0.12120I
9.27436 + 7.23736I 0
u = −1.001810 − 0.689576I
a = −0.00485 + 2.22149I
b = −1.57683 + 0.12120I
9.27436 − 7.23736I 0
u = 1.018140 + 0.685989I
a = −0.33782 + 2.18119I
b = −1.44174 + 0.09950I
8.81704 − 4.15106I 0
u = 1.018140 − 0.685989I
a = −0.33782 − 2.18119I
b = −1.44174 − 0.09950I
8.81704 + 4.15106I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.477411 + 0.598550I
a = 0.774763 − 0.083961I
b = −0.236399 + 0.446068I
−1.53130 − 3.08780I 0
u = −0.477411 − 0.598550I
a = 0.774763 + 0.083961I
b = −0.236399 − 0.446068I
−1.53130 + 3.08780I 0
u = −1.009830 + 0.714378I
a = −0.23478 − 1.88366I
b = −1.70728 − 0.29283I
9.78782 + 4.65620I 0
u = −1.009830 − 0.714378I
a = −0.23478 + 1.88366I
b = −1.70728 + 0.29283I
9.78782 − 4.65620I 0
u = 1.021150 + 0.712559I
a = −0.21656 + 1.97267I
b = −1.55622 + 0.46183I
9.39662 − 8.33652I 0
u = 1.021150 − 0.712559I
a = −0.21656 − 1.97267I
b = −1.55622 − 0.46183I
9.39662 + 8.33652I 0
u = 0.243145 + 1.222210I
a = 0.135280 + 0.042768I
b = −1.50747 + 0.03858I
7.70400 − 4.59092I 0
u = 0.243145 − 1.222210I
a = 0.135280 − 0.042768I
b = −1.50747 − 0.03858I
7.70400 + 4.59092I 0
u = 0.975488 + 0.775696I
a = 0.347242 + 0.642091I
b = −1.42569 − 0.05175I
3.20335 − 0.75897I 0
u = 0.975488 − 0.775696I
a = 0.347242 − 0.642091I
b = −1.42569 + 0.05175I
3.20335 + 0.75897I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.180290 + 0.435638I
a = −0.302558 − 0.304136I
b = 0.0068746 − 0.1321510I
−1.80324 + 1.34018I 0
u = −1.180290 − 0.435638I
a = −0.302558 + 0.304136I
b = 0.0068746 + 0.1321510I
−1.80324 − 1.34018I 0
u = −0.969511 + 0.802457I
a = 0.357667 − 0.790876I
b = −0.098925 − 0.624742I
−0.49725 + 3.12941I 0
u = −0.969511 − 0.802457I
a = 0.357667 + 0.790876I
b = −0.098925 + 0.624742I
−0.49725 − 3.12941I 0
u = −1.030150 + 0.723704I
a = 0.41772 − 1.51712I
b = −0.640823 − 0.993658I
1.55831 + 13.06750I 0
u = −1.030150 − 0.723704I
a = 0.41772 + 1.51712I
b = −0.640823 + 0.993658I
1.55831 − 13.06750I 0
u = 1.037100 + 0.733051I
a = 0.196691 + 1.367080I
b = −0.612490 + 0.738604I
4.78946 − 7.72086I 0
u = 1.037100 − 0.733051I
a = 0.196691 − 1.367080I
b = −0.612490 − 0.738604I
4.78946 + 7.72086I 0
u = −0.662465 + 1.092250I
a = 0.146104 − 0.018387I
b = −1.57302 + 0.17868I
13.4992 − 4.5857I 0
u = −0.662465 − 1.092250I
a = 0.146104 + 0.018387I
b = −1.57302 − 0.17868I
13.4992 + 4.5857I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.565277 + 0.411855I
a = 0.648571 + 0.272348I
b = −0.528824 − 0.056200I
0.979706 + 0.080743I 11.44031 + 0.I
u = 0.565277 − 0.411855I
a = 0.648571 − 0.272348I
b = −0.528824 + 0.056200I
0.979706 − 0.080743I 11.44031 + 0.I
u = 0.315578 + 0.601032I
a = 0.503617 + 0.251652I
b = −0.791997 + 0.383839I
0.0964948 + 0.0089008I 8.72889 + 1.78884I
u = 0.315578 − 0.601032I
a = 0.503617 − 0.251652I
b = −0.791997 − 0.383839I
0.0964948 − 0.0089008I 8.72889 − 1.78884I
u = 1.116540 + 0.781013I
a = 0.09598 − 1.78346I
b = 1.60985 − 0.33470I
8.8856 − 17.9490I 0
u = 1.116540 − 0.781013I
a = 0.09598 + 1.78346I
b = 1.60985 + 0.33470I
8.8856 + 17.9490I 0
u = 0.631621 + 0.033317I
a = 1.51312 + 0.84039I
b = −0.405572 + 0.419755I
0.661340 − 0.006855I 6.27443 + 0.14507I
u = 0.631621 − 0.033317I
a = 1.51312 − 0.84039I
b = −0.405572 − 0.419755I
0.661340 + 0.006855I 6.27443 − 0.14507I
u = −1.367100 + 0.230820I
a = 1.23937 + 0.69907I
b = 1.46620 + 0.17323I
1.74514 + 9.44277I 0
u = −1.367100 − 0.230820I
a = 1.23937 − 0.69907I
b = 1.46620 − 0.17323I
1.74514 − 9.44277I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.928171 + 1.041260I
a = −0.464287 − 1.105230I
b = 1.366570 − 0.156407I
4.00815 − 5.73569I 0
u = 0.928171 − 1.041260I
a = −0.464287 + 1.105230I
b = 1.366570 + 0.156407I
4.00815 + 5.73569I 0
u = −1.136720 + 0.814396I
a = 0.11549 + 1.58367I
b = 1.56898 + 0.25496I
11.9617 + 11.4276I 0
u = −1.136720 − 0.814396I
a = 0.11549 − 1.58367I
b = 1.56898 − 0.25496I
11.9617 − 11.4276I 0
u = −0.567704 + 0.049733I
a = 2.53757 − 0.17750I
b = 0.221319 + 0.396733I
−1.28837 − 2.73018I 1.81368 + 4.98375I
u = −0.567704 − 0.049733I
a = 2.53757 + 0.17750I
b = 0.221319 − 0.396733I
−1.28837 + 2.73018I 1.81368 − 4.98375I
u = 0.492535
a = 1.20433
b = −0.404475
0.865010 11.8760
u = 1.46503 + 0.43564I
a = 0.883523 − 0.666348I
b = 1.43769 − 0.04329I
3.31775 − 1.96476I 0
u = 1.46503 − 0.43564I
a = 0.883523 + 0.666348I
b = 1.43769 + 0.04329I
3.31775 + 1.96476I 0
u = −0.320516 + 0.044395I
a = 5.68072 − 1.31126I
b = 1.143830 + 0.222060I
1.53644 + 5.31849I 9.85956 − 9.56569I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.320516 − 0.044395I
a = 5.68072 + 1.31126I
b = 1.143830 − 0.222060I
1.53644 − 5.31849I 9.85956 + 9.56569I
u = 0.272842
a = 6.43062
b = 1.21750
5.22341 19.5660
u = 0.0503739 + 0.0930732I
a = 5.19789 + 0.05121I
b = 1.64681 − 0.04361I
8.65745 − 1.68509I 4.64702 − 6.64522I
u = 0.0503739 − 0.0930732I
a = 5.19789 − 0.05121I
b = 1.64681 + 0.04361I
8.65745 + 1.68509I 4.64702 + 6.64522I
16
II. I
u
2
= h−21u
27
+ 10u
26
+ · · · + 2b − 19, −70u
27
+ 54u
26
+ · · · + 2a −
63, u
28
− 7u
26
+ · · · − 7u
2
+ 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
11
=
35u
27
− 27u
26
+ ··· −
53
2
u +
63
2
21
2
u
27
− 5u
26
+ ··· −
29
2
u +
19
2
a
8
=
−
7
2
u
27
+
1
2
u
26
+ ··· + 16u −
15
2
−
19
2
u
27
+ 4u
26
+ ··· +
27
2
u −
19
2
a
12
=
7u
27
−
25
2
u
26
+ ··· +
59
2
u − 6
13
2
u
27
−
17
2
u
26
+ ··· + 2u +
9
2
a
1
=
u
3
u
5
− u
3
+ u
a
10
=
49
2
u
27
− 22u
26
+ ··· − 12u + 22
21
2
u
27
− 5u
26
+ ··· −
29
2
u +
19
2
a
5
=
−21u
27
+ 17u
26
+ ··· + 6u − 14
−13u
27
+ 9u
26
+ ··· +
41
2
u −
33
2
a
4
=
37
2
u
27
− 6u
26
+ ··· − 52u + 38
5
2
u
27
−
1
2
u
26
+ ··· −
27
2
u + 5
a
9
=
−
9
2
u
27
+
3
2
u
26
+ ··· + 17u −
17
2
−
19
2
u
27
+ 4u
26
+ ··· +
27
2
u −
19
2
(ii) Obstruction class = 1
(iii) Cusp Shapes =
59
2
u
27
−
9
2
u
26
+ ··· −
227
2
u + 64
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
28
− 14u
27
+ ··· − 14u + 1
c
2
u
28
− 7u
26
+ ··· − 7u
2
+ 1
c
3
u
28
− 2u
26
+ ··· − 2u + 1
c
4
u
28
+ 10u
26
+ ··· − 3u − 1
c
5
u
28
− 16u
26
+ ··· + u + 1
c
6
u
28
− 7u
26
+ ··· − 7u
2
+ 1
c
7
u
28
− 4u
27
+ ··· − 4u + 1
c
8
u
28
+ u
27
+ ··· − 2u
2
+ 1
c
9
, c
10
u
28
− 16u
26
+ ··· − u + 1
c
11
u
28
+ 4u
27
+ ··· + 4u + 1
c
12
u
28
+ 10u
26
+ ··· + 3u − 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
28
+ 10y
27
+ ··· + 18y + 1
c
2
, c
6
y
28
− 14y
27
+ ··· − 14y + 1
c
3
y
28
− 4y
27
+ ··· − 4y + 1
c
4
, c
12
y
28
+ 20y
27
+ ··· − 7y + 1
c
5
, c
9
, c
10
y
28
− 32y
27
+ ··· − 13y + 1
c
7
, c
11
y
28
− 28y
27
+ ··· − 16y + 1
c
8
y
28
− 5y
27
+ ··· − 4y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.668515 + 0.746394I
a = −0.851993 + 0.615117I
b = −0.364367 + 0.452624I
0.61800 + 3.65858I 4.91335 − 4.40936I
u = −0.668515 − 0.746394I
a = −0.851993 − 0.615117I
b = −0.364367 − 0.452624I
0.61800 − 3.65858I 4.91335 + 4.40936I
u = −0.688677 + 0.688903I
a = −0.369091 − 0.060224I
b = 1.65329 − 0.15184I
9.91943 − 1.03347I 9.32606 − 4.07912I
u = −0.688677 − 0.688903I
a = −0.369091 + 0.060224I
b = 1.65329 + 0.15184I
9.91943 + 1.03347I 9.32606 + 4.07912I
u = 0.865295 + 0.661648I
a = −0.38336 − 1.40767I
b = −0.077502 − 0.759041I
3.13227 − 2.56707I 2.03427 + 2.13726I
u = 0.865295 − 0.661648I
a = −0.38336 + 1.40767I
b = −0.077502 + 0.759041I
3.13227 + 2.56707I 2.03427 − 2.13726I
u = 1.11972
a = −2.06731
b = −1.46009
5.02893 7.77140
u = −1.068830 + 0.373557I
a = 0.614259 + 0.253967I
b = 1.179210 + 0.173597I
−0.22121 + 7.34824I 6.78579 − 7.23665I
u = −1.068830 − 0.373557I
a = 0.614259 − 0.253967I
b = 1.179210 − 0.173597I
−0.22121 − 7.34824I 6.78579 + 7.23665I
u = 1.040580 + 0.448928I
a = 0.626491 − 0.823890I
b = 0.707568 + 0.339026I
−2.01586 − 5.44812I 6.15455 + 8.69837I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.040580 − 0.448928I
a = 0.626491 + 0.823890I
b = 0.707568 − 0.339026I
−2.01586 + 5.44812I 6.15455 − 8.69837I
u = −0.773805 + 0.242392I
a = 1.390750 − 0.109163I
b = −0.316335 − 0.355651I
0.684665 + 0.816998I 6.77993 − 8.92970I
u = −0.773805 − 0.242392I
a = 1.390750 + 0.109163I
b = −0.316335 + 0.355651I
0.684665 − 0.816998I 6.77993 + 8.92970I
u = 0.795858
a = −3.00041
b = −1.27495
4.46659 7.95080
u = −1.003760 + 0.667313I
a = −0.24598 − 2.18542I
b = −1.58862 − 0.21526I
8.94551 + 6.30756I 8.27551 − 3.18389I
u = −1.003760 − 0.667313I
a = −0.24598 + 2.18542I
b = −1.58862 + 0.21526I
8.94551 − 6.30756I 8.27551 + 3.18389I
u = 0.676617 + 0.389816I
a = 1.71792 + 0.80563I
b = −0.678439 + 0.489049I
−0.67094 + 1.87737I 7.43668 + 0.27311I
u = 0.676617 − 0.389816I
a = 1.71792 − 0.80563I
b = −0.678439 − 0.489049I
−0.67094 − 1.87737I 7.43668 − 0.27311I
u = −1.140950 + 0.481127I
a = 0.571863 + 0.591459I
b = 0.476281 + 0.109403I
−1.43114 + 1.51854I 11.39182 − 4.94892I
u = −1.140950 − 0.481127I
a = 0.571863 − 0.591459I
b = 0.476281 − 0.109403I
−1.43114 − 1.51854I 11.39182 + 4.94892I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.715551 + 0.255732I
a = −2.96022 − 0.55140I
b = −1.183940 + 0.248558I
1.23224 − 4.59759I 5.76933 + 0.63653I
u = −0.715551 − 0.255732I
a = −2.96022 + 0.55140I
b = −1.183940 − 0.248558I
1.23224 + 4.59759I 5.76933 − 0.63653I
u = 0.766866 + 1.033780I
a = 0.729535 + 1.124260I
b = −1.346890 + 0.166868I
4.29585 − 5.86423I 19.3353 + 15.9381I
u = 0.766866 − 1.033780I
a = 0.729535 − 1.124260I
b = −1.346890 − 0.166868I
4.29585 + 5.86423I 19.3353 − 15.9381I
u = 1.310840 + 0.465943I
a = 0.240552 − 0.250379I
b = 1.265440 + 0.053577I
1.49245 − 0.89320I 0. + 7.88936I
u = 1.310840 − 0.465943I
a = 0.240552 + 0.250379I
b = 1.265440 − 0.053577I
1.49245 + 0.89320I 0. − 7.88936I
u = 0.442102 + 0.411322I
a = −0.046865 + 0.144269I
b = 1.64181 + 0.00580I
8.74939 − 2.09273I 8.8828 + 11.2591I
u = 0.442102 − 0.411322I
a = −0.046865 − 0.144269I
b = 1.64181 − 0.00580I
8.74939 + 2.09273I 8.8828 − 11.2591I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
28
− 14u
27
+ ··· − 14u + 1)(u
114
+ 41u
113
+ ··· − 29u + 1)
c
2
(u
28
− 7u
26
+ ··· − 7u
2
+ 1)(u
114
− 3u
113
+ ··· − 9u + 1)
c
3
(u
28
− 2u
26
+ ··· − 2u + 1)(u
114
− u
113
+ ··· + 621u − 135)
c
4
(u
28
+ 10u
26
+ ··· − 3u − 1)(u
114
+ 5u
113
+ ··· − 4u + 1)
c
5
(u
28
− 16u
26
+ ··· + u + 1)(u
114
+ u
113
+ ··· − 18u − 19)
c
6
(u
28
− 7u
26
+ ··· − 7u
2
+ 1)(u
114
− 3u
113
+ ··· − 9u + 1)
c
7
(u
28
− 4u
27
+ ··· − 4u + 1)(u
114
+ 3u
113
+ ··· + 9623u − 24763)
c
8
(u
28
+ u
27
+ ··· − 2u
2
+ 1)(u
114
+ 2u
113
+ ··· + 3u − 1)
c
9
, c
10
(u
28
− 16u
26
+ ··· − u + 1)(u
114
+ u
113
+ ··· − 18u − 19)
c
11
(u
28
+ 4u
27
+ ··· + 4u + 1)(u
114
+ 3u
113
+ ··· + 9623u − 24763)
c
12
(u
28
+ 10u
26
+ ··· + 3u − 1)(u
114
+ 5u
113
+ ··· − 4u + 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
28
+ 10y
27
+ ··· + 18y + 1)(y
114
+ 75y
113
+ ··· + 6061y + 1)
c
2
, c
6
(y
28
− 14y
27
+ ··· − 14y + 1)(y
114
− 41y
113
+ ··· + 29y + 1)
c
3
(y
28
− 4y
27
+ ··· − 4y + 1)(y
114
− 11y
113
+ ··· − 978561y + 18225)
c
4
, c
12
(y
28
+ 20y
27
+ ··· − 7y + 1)(y
114
+ 65y
113
+ ··· − 44y + 1)
c
5
, c
9
, c
10
(y
28
− 32y
27
+ ··· − 13y + 1)(y
114
− 123y
113
+ ··· + 38854y + 361)
c
7
, c
11
(y
28
− 28y
27
+ ··· − 16y + 1)
· (y
114
− 99y
113
+ ··· − 42189999285y + 613206169)
c
8
(y
28
− 5y
27
+ ··· − 4y + 1)(y
114
− 8y
113
+ ··· − 169y + 1)
24
