12a
0171
(K12a
0171
)
A knot diagram
1
Linearized knot diagam
3 5 9 6 2 10 11 4 1 12 8 7
Solving Sequence
4,8 9,11
12 3 7 1 10 6 5 2
c
8
c
11
c
3
c
7
c
12
c
10
c
6
c
4
c
2
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.15819 × 10
360
u
109
− 4.02996 × 10
360
u
108
+ ··· + 5.49965 × 10
360
b − 1.34535 × 10
364
,
− 1.86842 × 10
361
u
109
+ 2.18094 × 10
361
u
108
+ ··· + 1.09993 × 10
361
a + 8.84584 × 10
363
,
u
110
− u
109
+ ··· − 8192u + 4096i
I
v
1
= ha, v
3
+ b − 1, v
12
− v
11
+ v
10
− 4v
9
+ 3v
8
− 3v
7
+ 5v
6
− 3v
5
+ 3v
4
− 3v
3
+ 2v
2
− v + 1i
* 2 irreducible components of dim
C
= 0, with total 122 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
= h1.16 × 10
360
u
109
− 4.03 × 10
360
u
108
+ · · · + 5.50 × 10
360
b − 1.35 ×
10
364
, −1.87 × 10
361
u
109
+ 2.18 × 10
361
u
108
+ · · · + 1.10 × 10
361
a + 8.85 ×
10
363
, u
110
− u
109
+ · · · − 8192u + 4096i
(i) Arc colorings
a
4
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
11
=
1.69867u
109
− 1.98280u
108
+ ··· + 9457.21u − 804.218
−0.210593u
109
+ 0.732766u
108
+ ··· − 5987.35u + 2446.24
a
12
=
1.48808u
109
− 1.25003u
108
+ ··· + 3469.86u + 1642.02
−0.210593u
109
+ 0.732766u
108
+ ··· − 5987.35u + 2446.24
a
3
=
u
u
3
+ u
a
7
=
0.714770u
109
− 1.52578u
108
+ ··· + 10789.3u − 3614.64
0.337885u
109
+ 0.284437u
108
+ ··· − 4404.48u + 2959.35
a
1
=
1.13580u
109
− 2.01555u
108
+ ··· + 13081.2u − 3731.32
1.06260u
109
− 1.34601u
108
+ ··· + 6511.41u − 918.245
a
10
=
0.431583u
109
− 0.532966u
108
+ ··· + 2172.28u − 59.0907
−0.724304u
109
+ 0.723872u
108
+ ··· − 3494.65u + 30.9050
a
6
=
−0.857528u
109
+ 1.09821u
108
+ ··· − 5289.40u + 790.397
−1.99332u
109
+ 3.11376u
108
+ ··· − 18370.6u + 4521.72
a
5
=
0.00285440u
109
+ 0.527936u
108
+ ··· − 5539.52u + 2531.27
0.0673513u
109
− 0.758670u
108
+ ··· + 6801.27u − 3238.00
a
2
=
1.93960u
109
− 3.10158u
108
+ ··· + 18565.3u − 4717.17
1.11994u
109
− 1.36855u
108
+ ··· + 6391.16u − 748.098
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.48768u
109
+ 4.72242u
108
+ ··· − 31628.9u + 9674.98
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
110
+ 35u
109
+ ··· + 3u + 1
c
2
, c
5
u
110
+ 7u
109
+ ··· + 7u + 1
c
3
, c
8
u
110
+ u
109
+ ··· + 8192u + 4096
c
6
u
110
+ 3u
109
+ ··· + 1599u + 1297
c
7
, c
11
u
110
− 3u
109
+ ··· − 5u + 1
c
9
u
110
− 11u
109
+ ··· − 299803u + 6701
c
10
u
110
− 53u
109
+ ··· + 7u + 1
c
12
u
110
− 9u
109
+ ··· + 6069u + 851
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
110
+ 87y
109
+ ··· − 9y + 1
c
2
, c
5
y
110
+ 35y
109
+ ··· + 3y + 1
c
3
, c
8
y
110
+ 65y
109
+ ··· + 268435456y + 16777216
c
6
y
110
− 13y
109
+ ··· − 35448721y + 1682209
c
7
, c
11
y
110
− 53y
109
+ ··· + 7y + 1
c
9
y
110
+ 47y
109
+ ··· + 20676298343y + 44903401
c
10
y
110
+ 11y
109
+ ··· − 49y + 1
c
12
y
110
+ 31y
109
+ ··· − 29575433y + 724201
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.180529 + 0.981799I
a = 0.436047 − 0.614290I
b = 0.491906 − 0.727885I
−0.53209 + 3.96936I 0
u = −0.180529 − 0.981799I
a = 0.436047 + 0.614290I
b = 0.491906 + 0.727885I
−0.53209 − 3.96936I 0
u = −0.957729 + 0.306652I
a = 0.696769 − 0.934630I
b = 0.640335 − 0.557300I
−0.05454 − 4.42932I 0
u = −0.957729 − 0.306652I
a = 0.696769 + 0.934630I
b = 0.640335 + 0.557300I
−0.05454 + 4.42932I 0
u = 0.245291 + 0.984450I
a = −0.56407 − 1.41967I
b = 1.049850 − 0.596683I
1.11589 − 9.02457I 0
u = 0.245291 − 0.984450I
a = −0.56407 + 1.41967I
b = 1.049850 + 0.596683I
1.11589 + 9.02457I 0
u = 0.532933 + 0.873851I
a = 0.084707 + 0.191205I
b = −0.954325 − 0.534058I
−2.00995 + 0.05811I 0
u = 0.532933 − 0.873851I
a = 0.084707 − 0.191205I
b = −0.954325 + 0.534058I
−2.00995 − 0.05811I 0
u = −0.105007 + 1.018520I
a = −3.29953 − 0.20001I
b = 1.108910 + 0.314775I
3.39141 + 3.62653I 0
u = −0.105007 − 1.018520I
a = −3.29953 + 0.20001I
b = 1.108910 − 0.314775I
3.39141 − 3.62653I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.059861 + 1.025080I
a = 3.21011 + 0.60441I
b = −1.114020 + 0.535031I
1.88520 − 3.91301I 0
u = 0.059861 − 1.025080I
a = 3.21011 − 0.60441I
b = −1.114020 − 0.535031I
1.88520 + 3.91301I 0
u = 0.196284 + 0.944858I
a = 0.947750 + 0.572093I
b = −0.665914 + 0.514784I
0.83286 − 1.92222I 0
u = 0.196284 − 0.944858I
a = 0.947750 − 0.572093I
b = −0.665914 − 0.514784I
0.83286 + 1.92222I 0
u = −0.042659 + 0.963890I
a = 0.429644 + 0.579531I
b = 0.466727 + 0.736300I
−0.40492 + 1.37362I 0
u = −0.042659 − 0.963890I
a = 0.429644 − 0.579531I
b = 0.466727 − 0.736300I
−0.40492 − 1.37362I 0
u = −0.020984 + 0.946768I
a = −0.62326 + 1.38833I
b = 1.065210 + 0.594026I
1.36280 + 3.69257I 0
u = −0.020984 − 0.946768I
a = −0.62326 − 1.38833I
b = 1.065210 − 0.594026I
1.36280 − 3.69257I 0
u = −0.045031 + 0.927975I
a = 0.019136 − 1.251560I
b = −0.294206 + 0.667943I
−0.456573 − 0.751770I 0
u = −0.045031 − 0.927975I
a = 0.019136 + 1.251560I
b = −0.294206 − 0.667943I
−0.456573 + 0.751770I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.490706 + 0.956042I
a = 0.90556 − 1.10461I
b = −0.616458 − 0.613746I
−2.99794 + 4.49260I 0
u = −0.490706 − 0.956042I
a = 0.90556 + 1.10461I
b = −0.616458 + 0.613746I
−2.99794 − 4.49260I 0
u = 0.649259 + 0.651850I
a = −0.49900 − 1.69164I
b = 1.012510 − 0.555888I
−2.73974 − 4.65409I 0
u = 0.649259 − 0.651850I
a = −0.49900 + 1.69164I
b = 1.012510 + 0.555888I
−2.73974 + 4.65409I 0
u = −0.641134 + 0.595733I
a = 0.551507 − 0.699489I
b = 0.536320 − 0.644113I
−4.14246 − 0.04555I 0
u = −0.641134 − 0.595733I
a = 0.551507 + 0.699489I
b = 0.536320 + 0.644113I
−4.14246 + 0.04555I 0
u = −0.725461 + 0.479876I
a = −1.02784 + 2.23874I
b = 1.031940 + 0.469288I
1.74989 + 4.60006I 0
u = −0.725461 − 0.479876I
a = −1.02784 − 2.23874I
b = 1.031940 − 0.469288I
1.74989 − 4.60006I 0
u = 0.085944 + 1.128550I
a = 0.999975 + 0.000279I
b = −1.045510 + 0.024442I
4.66020 − 2.81279I 0
u = 0.085944 − 1.128550I
a = 0.999975 − 0.000279I
b = −1.045510 − 0.024442I
4.66020 + 2.81279I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.845787 + 0.182009I
a = 0.934137 + 0.898042I
b = 0.627147 + 0.468257I
0.388388 − 0.807655I 0
u = 0.845787 − 0.182009I
a = 0.934137 − 0.898042I
b = 0.627147 − 0.468257I
0.388388 + 0.807655I 0
u = 1.130550 + 0.136437I
a = 0.448643 − 0.344341I
b = 0.278130 − 0.714398I
1.86533 + 0.28927I 0
u = 1.130550 − 0.136437I
a = 0.448643 + 0.344341I
b = 0.278130 + 0.714398I
1.86533 − 0.28927I 0
u = 0.748053 + 0.425580I
a = −0.32882 − 2.51211I
b = 0.972826 − 0.468613I
0.873774 + 0.295236I 0
u = 0.748053 − 0.425580I
a = −0.32882 + 2.51211I
b = 0.972826 + 0.468613I
0.873774 − 0.295236I 0
u = 0.368685 + 1.078770I
a = −2.18116 − 1.37265I
b = 1.120270 + 0.256088I
2.76276 − 3.58996I 0
u = 0.368685 − 1.078770I
a = −2.18116 + 1.37265I
b = 1.120270 − 0.256088I
2.76276 + 3.58996I 0
u = −0.484397 + 0.700403I
a = 0.939042 − 0.555934I
b = −1.023720 + 0.450046I
1.87514 − 1.78615I 0
u = −0.484397 − 0.700403I
a = 0.939042 + 0.555934I
b = −1.023720 − 0.450046I
1.87514 + 1.78615I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.450007 + 1.072020I
a = −0.871246 − 0.709105I
b = −0.323796 + 0.743902I
−1.61375 + 6.35314I 0
u = −0.450007 − 1.072020I
a = −0.871246 + 0.709105I
b = −0.323796 − 0.743902I
−1.61375 − 6.35314I 0
u = 0.465125 + 0.693500I
a = 0.54861 + 1.38506I
b = −1.032120 − 0.509724I
0.29498 + 6.14668I 0
u = 0.465125 − 0.693500I
a = 0.54861 − 1.38506I
b = −1.032120 + 0.509724I
0.29498 − 6.14668I 0
u = −0.636626 + 0.511266I
a = 0.458277 + 0.471434I
b = 0.381330 + 0.717360I
−3.40779 − 2.06523I 0
u = −0.636626 − 0.511266I
a = 0.458277 − 0.471434I
b = 0.381330 − 0.717360I
−3.40779 + 2.06523I 0
u = −1.184690 + 0.040759I
a = 1.096850 + 0.011640I
b = −1.129150 − 0.296830I
5.96201 + 2.70522I 0
u = −1.184690 − 0.040759I
a = 1.096850 − 0.011640I
b = −1.129150 + 0.296830I
5.96201 − 2.70522I 0
u = −1.150850 + 0.292842I
a = 0.427388 + 0.371304I
b = 0.297385 + 0.735259I
1.48990 − 5.94638I 0
u = −1.150850 − 0.292842I
a = 0.427388 − 0.371304I
b = 0.297385 − 0.735259I
1.48990 + 5.94638I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.641277 + 0.481162I
a = −0.81379 + 1.36040I
b = 1.098180 + 0.566600I
−1.31118 + 6.97785I 0
u = 0.641277 − 0.481162I
a = −0.81379 − 1.36040I
b = 1.098180 − 0.566600I
−1.31118 − 6.97785I 0
u = 0.205359 + 1.181870I
a = −0.403773 + 0.734690I
b = −0.282394 − 0.729773I
2.47472 − 3.21396I 0
u = 0.205359 − 1.181870I
a = −0.403773 − 0.734690I
b = −0.282394 + 0.729773I
2.47472 + 3.21396I 0
u = 0.453466 + 1.111160I
a = 2.55908 + 1.80779I
b = −1.124140 + 0.559775I
0.72608 − 11.29210I 0
u = 0.453466 − 1.111160I
a = 2.55908 − 1.80779I
b = −1.124140 − 0.559775I
0.72608 + 11.29210I 0
u = −1.190690 + 0.160033I
a = −0.99139 − 1.29273I
b = 1.126970 − 0.540371I
4.31167 − 5.06642I 0
u = −1.190690 − 0.160033I
a = −0.99139 + 1.29273I
b = 1.126970 + 0.540371I
4.31167 + 5.06642I 0
u = 1.188990 + 0.206425I
a = 1.078590 − 0.003691I
b = −1.130880 + 0.277395I
5.74865 + 3.02431I 0
u = 1.188990 − 0.206425I
a = 1.078590 + 0.003691I
b = −1.130880 − 0.277395I
5.74865 − 3.02431I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.120046 + 1.229700I
a = −2.47515 + 0.66044I
b = 1.134800 − 0.287824I
6.66882 + 0.21455I 0
u = −0.120046 − 1.229700I
a = −2.47515 − 0.66044I
b = 1.134800 + 0.287824I
6.66882 − 0.21455I 0
u = 1.198980 + 0.310591I
a = −0.94829 + 1.26895I
b = 1.128520 + 0.550313I
3.90634 + 10.81930I 0
u = 1.198980 − 0.310591I
a = −0.94829 − 1.26895I
b = 1.128520 − 0.550313I
3.90634 − 10.81930I 0
u = 0.569124 + 0.493960I
a = 1.018900 − 0.025895I
b = −1.049650 + 0.227586I
0.920628 − 0.155382I 0
u = 0.569124 − 0.493960I
a = 1.018900 + 0.025895I
b = −1.049650 − 0.227586I
0.920628 + 0.155382I 0
u = −0.279474 + 0.697539I
a = 1.83135 − 0.50580I
b = −0.501982 − 0.530747I
−1.28186 − 1.88031I 0
u = −0.279474 − 0.697539I
a = 1.83135 + 0.50580I
b = −0.501982 + 0.530747I
−1.28186 + 1.88031I 0
u = −0.228922 + 1.233270I
a = 2.56564 − 1.13931I
b = −1.130270 − 0.544788I
4.93107 + 8.04588I 0
u = −0.228922 − 1.233270I
a = 2.56564 + 1.13931I
b = −1.130270 + 0.544788I
4.93107 − 8.04588I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.417717 + 1.241140I
a = 0.223034 + 0.351211I
b = −0.877035 + 0.586420I
4.47958 − 0.57999I 0
u = −0.417717 − 1.241140I
a = 0.223034 − 0.351211I
b = −0.877035 − 0.586420I
4.47958 + 0.57999I 0
u = 0.537463 + 1.234880I
a = 0.119374 − 0.342327I
b = −0.899213 − 0.595297I
3.66551 − 5.28805I 0
u = 0.537463 − 1.234880I
a = 0.119374 + 0.342327I
b = −0.899213 + 0.595297I
3.66551 + 5.28805I 0
u = 0.378428 + 0.509984I
a = 0.895553 − 0.098903I
b = −0.076718 + 0.345713I
−0.22364 − 1.43182I −1.59578 + 4.94774I
u = 0.378428 − 0.509984I
a = 0.895553 + 0.098903I
b = −0.076718 − 0.345713I
−0.22364 + 1.43182I −1.59578 − 4.94774I
u = 0.493923 + 1.274500I
a = 0.550307 + 0.943227I
b = −0.683310 + 0.649852I
3.90406 − 4.23872I 0
u = 0.493923 − 1.274500I
a = 0.550307 − 0.943227I
b = −0.683310 − 0.649852I
3.90406 + 4.23872I 0
u = −0.598872 + 0.202622I
a = −0.86845 + 1.56868I
b = 1.073350 + 0.535528I
0.50426 + 5.26842I −1.42602 − 6.38867I
u = −0.598872 − 0.202622I
a = −0.86845 − 1.56868I
b = 1.073350 − 0.535528I
0.50426 − 5.26842I −1.42602 + 6.38867I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.593543 + 1.262890I
a = 0.520858 − 1.019690I
b = −0.670145 − 0.664553I
2.98722 + 10.17610I 0
u = −0.593543 − 1.262890I
a = 0.520858 + 1.019690I
b = −0.670145 + 0.664553I
2.98722 − 10.17610I 0
u = −0.465786 + 0.357832I
a = 1.014510 − 0.153271I
b = −1.024670 + 0.349069I
1.88785 − 1.40638I 1.246985 + 0.206629I
u = −0.465786 − 0.357832I
a = 1.014510 + 0.153271I
b = −1.024670 − 0.349069I
1.88785 + 1.40638I 1.246985 − 0.206629I
u = −0.28618 + 1.41805I
a = 0.037185 + 0.349641I
b = −0.179530 − 0.737078I
7.53903 − 1.10320I 0
u = −0.28618 − 1.41805I
a = 0.037185 − 0.349641I
b = −0.179530 + 0.737078I
7.53903 + 1.10320I 0
u = 0.541196 + 0.114054I
a = 0.603515 + 0.495743I
b = 0.405527 + 0.611984I
−1.43557 − 0.70982I −5.82290 + 1.43887I
u = 0.541196 − 0.114054I
a = 0.603515 − 0.495743I
b = 0.405527 − 0.611984I
−1.43557 + 0.70982I −5.82290 − 1.43887I
u = 0.40905 + 1.38806I
a = 0.109813 − 0.303682I
b = −0.155596 + 0.730307I
6.97539 − 5.01261I 0
u = 0.40905 − 1.38806I
a = 0.109813 + 0.303682I
b = −0.155596 − 0.730307I
6.97539 + 5.01261I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.56749 + 1.35440I
a = −0.690960 + 0.322032I
b = −0.308940 − 0.783839I
5.79286 − 6.36271I 0
u = 0.56749 − 1.35440I
a = −0.690960 − 0.322032I
b = −0.308940 + 0.783839I
5.79286 + 6.36271I 0
u = −0.65580 + 1.32288I
a = −0.768079 − 0.266525I
b = −0.320117 + 0.787990I
4.78412 + 12.43520I 0
u = −0.65580 − 1.32288I
a = −0.768079 + 0.266525I
b = −0.320117 − 0.787990I
4.78412 − 12.43520I 0
u = −0.37782 + 1.44032I
a = 1.91284 + 0.31037I
b = −1.149350 + 0.499766I
9.82902 + 0.44626I 0
u = −0.37782 − 1.44032I
a = 1.91284 − 0.31037I
b = −1.149350 − 0.499766I
9.82902 − 0.44626I 0
u = 0.25528 + 1.47093I
a = 1.98926 − 0.43026I
b = −1.149460 − 0.510050I
10.33460 + 5.74943I 0
u = 0.25528 − 1.47093I
a = 1.98926 + 0.43026I
b = −1.149460 + 0.510050I
10.33460 − 5.74943I 0
u = −0.52933 + 1.39822I
a = −1.68966 + 0.82868I
b = 1.160500 − 0.245741I
10.39990 + 3.37190I 0
u = −0.52933 − 1.39822I
a = −1.68966 − 0.82868I
b = 1.160500 + 0.245741I
10.39990 − 3.37190I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.59327 + 1.37249I
a = 1.96671 − 1.59078I
b = −1.140220 − 0.566656I
8.24290 + 11.42160I 0
u = −0.59327 − 1.37249I
a = 1.96671 + 1.59078I
b = −1.140220 + 0.566656I
8.24290 − 11.42160I 0
u = 0.62530 + 1.36151I
a = −1.56445 − 0.89690I
b = 1.159570 + 0.234648I
9.45902 − 9.50115I 0
u = 0.62530 − 1.36151I
a = −1.56445 + 0.89690I
b = 1.159570 − 0.234648I
9.45902 + 9.50115I 0
u = 0.67789 + 1.33618I
a = 1.88704 + 1.71244I
b = −1.138430 + 0.571589I
7.2001 − 17.5270I 0
u = 0.67789 − 1.33618I
a = 1.88704 − 1.71244I
b = −1.138430 − 0.571589I
7.2001 + 17.5270I 0
u = 0.35309 + 1.45869I
a = −2.21477 − 0.22989I
b = 1.161990 − 0.338061I
11.50100 − 2.40029I 0
u = 0.35309 − 1.45869I
a = −2.21477 + 0.22989I
b = 1.161990 + 0.338061I
11.50100 + 2.40029I 0
u = −0.47081 + 1.42643I
a = −2.19405 + 0.38704I
b = 1.161060 + 0.350472I
10.84080 + 8.59122I 0
u = −0.47081 − 1.42643I
a = −2.19405 − 0.38704I
b = 1.161060 − 0.350472I
10.84080 − 8.59122I 0
15
II. I
v
1
= ha, v
3
+ b − 1, v
12
− v
11
+ · · · − v + 1i
(i) Arc colorings
a
4
=
v
0
a
8
=
1
0
a
9
=
1
0
a
11
=
0
−v
3
+ 1
a
12
=
−v
3
+ 1
−v
3
+ 1
a
3
=
v
0
a
7
=
1
v
6
− 2v
3
+ 1
a
1
=
−v
9
+ 3v
6
− 3v
3
+ 1
v
11
− 2v
10
+ v
9
− 4v
8
+ 6v
7
− 3v
6
+ 5v
5
− 5v
4
+ 3v
3
− 3v
2
+ 2v − 1
a
10
=
v
9
− 3v
6
+ 3v
3
− 1
v
9
− 3v
6
+ 2v
3
a
6
=
v
9
− 3v
6
+ 3v
3
− 1
−v
11
+ 2v
10
− v
9
+ 4v
8
− 6v
7
+ 3v
6
− 5v
5
+ 5v
4
− 3v
3
+ 3v
2
− 2v + 1
a
5
=
v
10
− 3v
7
+ 3v
4
− v
v
10
− 3v
7
+ 2v
4
a
2
=
v
11
− v
10
− 3v
8
+ 3v
7
+ 3v
5
− 3v
4
− 2v
2
+ 2v
v
11
− 2v
10
+ v
9
− 4v
8
+ 6v
7
− 3v
6
+ 5v
5
− 5v
4
+ 3v
3
− 3v
2
+ 2v − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −v
11
+ 4v
10
+ 3v
8
− 11v
7
− 6v
5
+ 10v
4
+ 9v
2
− 3v − 3
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
5
(u
2
− u + 1)
6
c
2
(u
2
+ u + 1)
6
c
3
, c
8
u
12
c
6
, c
9
, c
11
(u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
2
c
7
(u
6
− u
5
− u
4
+ 2u
3
− u + 1)
2
c
10
, c
12
(u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 2u
2
+ u + 1)
2
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
5
(y
2
+ y + 1)
6
c
3
, c
8
y
12
c
6
, c
7
, c
9
c
11
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
2
c
10
, c
12
(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
2
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −0.693431 + 0.659641I
a = 0
b = 0.428243 − 0.664531I
−1.89061 + 2.95419I −5.61650 − 4.08278I
v = −0.693431 − 0.659641I
a = 0
b = 0.428243 + 0.664531I
−1.89061 − 2.95419I −5.61650 + 4.08278I
v = −0.224551 + 0.930349I
a = 0
b = 0.428243 + 0.664531I
−1.89061 + 1.10558I −7.50338 − 2.58970I
v = −0.224551 − 0.930349I
a = 0
b = 0.428243 − 0.664531I
−1.89061 − 1.10558I −7.50338 + 2.58970I
v = 0.036219 + 0.825237I
a = 0
b = 1.073950 + 0.558752I
3.66314I −4.13964 − 2.11509I
v = 0.036219 − 0.825237I
a = 0
b = 1.073950 − 0.558752I
− 3.66314I −4.13964 + 2.11509I
v = 0.696567 + 0.443985I
a = 0
b = 1.073950 − 0.558752I
− 7.72290I −1.09315 + 8.26466I
v = 0.696567 − 0.443985I
a = 0
b = 1.073950 + 0.558752I
7.72290I −1.09315 − 8.26466I
v = −0.578212 + 1.125030I
a = 0
b = −1.002190 + 0.295542I
1.89061 − 2.95419I 0.42156 + 3.46552I
v = −0.578212 − 1.125030I
a = 0
b = −1.002190 − 0.295542I
1.89061 + 2.95419I 0.42156 − 3.46552I
19
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 1.263410 + 0.061767I
a = 0
b = −1.002190 − 0.295542I
1.89061 − 1.10558I 3.93112 + 2.76498I
v = 1.263410 − 0.061767I
a = 0
b = −1.002190 + 0.295542I
1.89061 + 1.10558I 3.93112 − 2.76498I
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
4
((u
2
− u + 1)
6
)(u
110
+ 35u
109
+ ··· + 3u + 1)
c
2
((u
2
+ u + 1)
6
)(u
110
+ 7u
109
+ ··· + 7u + 1)
c
3
, c
8
u
12
(u
110
+ u
109
+ ··· + 8192u + 4096)
c
5
((u
2
− u + 1)
6
)(u
110
+ 7u
109
+ ··· + 7u + 1)
c
6
((u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
2
)(u
110
+ 3u
109
+ ··· + 1599u + 1297)
c
7
((u
6
− u
5
− u
4
+ 2u
3
− u + 1)
2
)(u
110
− 3u
109
+ ··· − 5u + 1)
c
9
((u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
2
)(u
110
− 11u
109
+ ··· − 299803u + 6701)
c
10
((u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 2u
2
+ u + 1)
2
)(u
110
− 53u
109
+ ··· + 7u + 1)
c
11
((u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
2
)(u
110
− 3u
109
+ ··· − 5u + 1)
c
12
(u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 2u
2
+ u + 1)
2
· (u
110
− 9u
109
+ ··· + 6069u + 851)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
((y
2
+ y + 1)
6
)(y
110
+ 87y
109
+ ··· − 9y + 1)
c
2
, c
5
((y
2
+ y + 1)
6
)(y
110
+ 35y
109
+ ··· + 3y + 1)
c
3
, c
8
y
12
(y
110
+ 65y
109
+ ··· + 2.68435 × 10
8
y + 1.67772 × 10
7
)
c
6
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
2
· (y
110
− 13y
109
+ ··· − 35448721y + 1682209)
c
7
, c
11
((y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
2
)(y
110
− 53y
109
+ ··· + 7y + 1)
c
9
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
2
· (y
110
+ 47y
109
+ ··· + 20676298343y + 44903401)
c
10
((y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
2
)(y
110
+ 11y
109
+ ··· − 49y + 1)
c
12
(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
2
· (y
110
+ 31y
109
+ ··· − 29575433y + 724201)
22
