12n
0842
(K12n
0842
)
A knot diagram
1
Linearized knot diagam
4 7 6 10 11 9 11 3 2 1 7 5
Solving Sequence
7,11 3,8
9 12 2 10 6 4 1 5
c
7
c
8
c
11
c
2
c
9
c
6
c
3
c
1
c
5
c
4
, c
10
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.56702 × 10
964
u
129
− 2.52936 × 10
964
u
128
+ ··· + 1.37131 × 10
968
b − 1.84550 × 10
968
,
− 1.75107 × 10
969
u
129
− 3.48341 × 10
969
u
128
+ ··· + 1.77489 × 10
972
a − 2.48142 × 10
973
,
u
130
+ 2u
129
+ ··· + 23095u + 1849i
I
u
2
= h−2.40523 × 10
66
u
39
− 2.81645 × 10
66
u
38
+ ··· + 8.08698 × 10
65
b + 1.18620 × 10
65
,
− 1.39184 × 10
67
u
39
+ 1.04230 × 10
65
u
38
+ ··· + 5.66089 × 10
66
a − 7.79024 × 10
67
, u
40
+ u
39
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 170 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−1.57 × 10
964
u
129
− 2.53 × 10
964
u
128
+ · · · + 1.37 × 10
968
b − 1.85 ×
10
968
, −1.75 × 10
969
u
129
− 3.48 × 10
969
u
128
+ · · · + 1.77 × 10
972
a − 2.48 ×
10
973
, u
130
+ 2u
129
+ · · · + 23095u + 1849i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
3
=
0.000986581u
129
+ 0.00196261u
128
+ ··· − 75.4998u + 13.9808
0.000114272u
129
+ 0.000184449u
128
+ ··· + 12.5203u + 1.34580
a
8
=
1
−u
2
a
9
=
0.00244202u
129
+ 0.00442555u
128
+ ··· + 289.065u + 25.9338
0.0000496807u
129
+ 0.000118695u
128
+ ··· − 8.68282u − 1.28144
a
12
=
u
u
a
2
=
0.00110085u
129
+ 0.00214706u
128
+ ··· − 62.9795u + 15.3265
0.000114272u
129
+ 0.000184449u
128
+ ··· + 12.5203u + 1.34580
a
10
=
−0.00244447u
129
− 0.00474242u
128
+ ··· − 104.893u − 1.82635
0.000201784u
129
+ 0.000412550u
128
+ ··· − 8.41360u + 0.410828
a
6
=
0.00215601u
129
+ 0.00414580u
128
+ ··· + 132.106u + 13.8909
−0.000105157u
129
− 0.000218653u
128
+ ··· + 6.69702u − 0.156529
a
4
=
−0.000284206u
129
− 0.000694296u
128
+ ··· − 49.4204u + 7.08012
0.0000830600u
129
+ 0.000168496u
128
+ ··· − 5.78510u + 0.0521690
a
1
=
−0.000984849u
129
− 0.00185266u
128
+ ··· + 36.5137u + 10.3433
0.000124562u
129
+ 0.000262122u
128
+ ··· − 2.40189u + 0.361956
a
5
=
0.00215601u
129
+ 0.00414580u
128
+ ··· + 132.106u + 13.8909
−0.0000495668u
129
− 0.000106951u
128
+ ··· + 6.54918u + 0.150793
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0000782799u
129
+ 0.000547387u
128
+ ··· − 133.386u − 2.54081
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
130
+ 14u
129
+ ··· − 159u + 7
c
2
u
130
− u
128
+ ··· − 576070405u + 33881141
c
3
u
130
− 7u
129
+ ··· + 2725074u + 389673
c
4
7(7u
130
− 25u
129
+ ··· + 12u + 1)
c
5
7(7u
130
+ 3u
129
+ ··· + 4.93951 × 10
10
u + 2.28860 × 10
9
)
c
6
u
130
− 8u
129
+ ··· − 205u + 7
c
7
, c
11
u
130
+ 2u
129
+ ··· + 23095u + 1849
c
8
7(7u
130
− 13u
129
+ ··· − 2351020u + 743993)
c
9
7(7u
130
− 34u
129
+ ··· − 829543u − 30137)
c
10
u
130
− 9u
129
+ ··· − 4538u + 203
c
12
u
130
+ 11u
129
+ ··· − 3169857u − 257957
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
130
− 72y
129
+ ··· + 493y + 49
c
2
y
130
− 2y
129
+ ··· + 55704648955559029y + 1147931715461881
c
3
y
130
− 39y
129
+ ··· − 9840220879212y + 151845046929
c
4
49(49y
130
+ 145y
129
+ ··· − 314y + 1)
c
5
49(49y
130
− 2207y
129
+ ··· − 2.91410 × 10
20
y + 5.23771 × 10
18
)
c
6
y
130
− 28y
129
+ ··· − 5709y + 49
c
7
, c
11
y
130
− 96y
129
+ ··· + 11750551y + 3418801
c
8
49(49y
130
+ 503y
129
+ ··· + 5.44033 × 10
13
y + 5.53526 × 10
11
)
c
9
49(49y
130
+ 846y
129
+ ··· − 1.31838 × 10
11
y + 9.08239 × 10
8
)
c
10
y
130
+ 17y
129
+ ··· − 739638y + 41209
c
12
y
130
− 87y
129
+ ··· − 1836787174947y + 66541813849
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.192985 + 0.987978I
a = 0.685018 + 0.699135I
b = 0.105204 + 0.268994I
−3.85583 + 1.98974I 0
u = −0.192985 − 0.987978I
a = 0.685018 − 0.699135I
b = 0.105204 − 0.268994I
−3.85583 − 1.98974I 0
u = −1.005400 + 0.084588I
a = −0.424630 − 0.999332I
b = 1.48759 + 0.21000I
3.44265 + 3.95990I 0
u = −1.005400 − 0.084588I
a = −0.424630 + 0.999332I
b = 1.48759 − 0.21000I
3.44265 − 3.95990I 0
u = 0.982913 + 0.237730I
a = 0.93751 + 1.73569I
b = 0.219139 − 0.183732I
1.02277 + 1.74041I 0
u = 0.982913 − 0.237730I
a = 0.93751 − 1.73569I
b = 0.219139 + 0.183732I
1.02277 − 1.74041I 0
u = 1.014750 + 0.047548I
a = −1.32944 + 0.61104I
b = −0.746568 − 0.155076I
1.73990 − 1.31024I 0
u = 1.014750 − 0.047548I
a = −1.32944 − 0.61104I
b = −0.746568 + 0.155076I
1.73990 + 1.31024I 0
u = −0.456859 + 0.862239I
a = −1.287040 − 0.504597I
b = −0.161070 − 1.105620I
−2.38775 − 6.44558I 0
u = −0.456859 − 0.862239I
a = −1.287040 + 0.504597I
b = −0.161070 + 1.105620I
−2.38775 + 6.44558I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.054500 + 0.153337I
a = 0.82634 + 1.70303I
b = −1.051070 − 0.662151I
−0.55217 − 6.03667I 0
u = −1.054500 − 0.153337I
a = 0.82634 − 1.70303I
b = −1.051070 + 0.662151I
−0.55217 + 6.03667I 0
u = −1.068270 + 0.127319I
a = −1.02778 + 1.14025I
b = 1.26558 − 0.67228I
5.94390 − 0.70377I 0
u = −1.068270 − 0.127319I
a = −1.02778 − 1.14025I
b = 1.26558 + 0.67228I
5.94390 + 0.70377I 0
u = 0.014444 + 1.078290I
a = 0.087527 + 0.601798I
b = −0.337332 + 0.607074I
−3.00735 + 1.68026I 0
u = 0.014444 − 1.078290I
a = 0.087527 − 0.601798I
b = −0.337332 − 0.607074I
−3.00735 − 1.68026I 0
u = −0.709835 + 0.837220I
a = 0.298449 + 0.444055I
b = −1.53836 + 1.08055I
−1.60973 + 3.04444I 0
u = −0.709835 − 0.837220I
a = 0.298449 − 0.444055I
b = −1.53836 − 1.08055I
−1.60973 − 3.04444I 0
u = 0.827680 + 0.118176I
a = 1.062830 + 0.393846I
b = 0.578328 − 0.404761I
1.72153 + 1.62554I 0
u = 0.827680 − 0.118176I
a = 1.062830 − 0.393846I
b = 0.578328 + 0.404761I
1.72153 − 1.62554I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.743058 + 0.335777I
a = 0.985320 + 0.201047I
b = 0.826366 + 0.263227I
1.91444 − 1.66346I 0
u = 0.743058 − 0.335777I
a = 0.985320 − 0.201047I
b = 0.826366 − 0.263227I
1.91444 + 1.66346I 0
u = −1.215770 + 0.024957I
a = 0.25672 − 1.77363I
b = −0.22505 + 2.26759I
0.14747 + 3.30778I 0
u = −1.215770 − 0.024957I
a = 0.25672 + 1.77363I
b = −0.22505 − 2.26759I
0.14747 − 3.30778I 0
u = −1.167050 + 0.344814I
a = 0.13166 + 1.69916I
b = −0.91643 − 1.29410I
0.35070 − 5.13307I 0
u = −1.167050 − 0.344814I
a = 0.13166 − 1.69916I
b = −0.91643 + 1.29410I
0.35070 + 5.13307I 0
u = 1.224050 + 0.090932I
a = 0.605553 − 1.229960I
b = −0.716654 + 0.669539I
−1.48112 + 0.30722I 0
u = 1.224050 − 0.090932I
a = 0.605553 + 1.229960I
b = −0.716654 − 0.669539I
−1.48112 − 0.30722I 0
u = 1.157080 + 0.430857I
a = −0.859745 − 0.586018I
b = −0.091286 + 0.906175I
1.69689 + 1.05048I 0
u = 1.157080 − 0.430857I
a = −0.859745 + 0.586018I
b = −0.091286 − 0.906175I
1.69689 − 1.05048I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.380261 + 1.187040I
a = 0.151652 + 0.050180I
b = −0.080254 − 0.787124I
2.16508 + 4.58319I 0
u = −0.380261 − 1.187040I
a = 0.151652 − 0.050180I
b = −0.080254 + 0.787124I
2.16508 − 4.58319I 0
u = 0.125690 + 1.245530I
a = 0.075130 + 0.127210I
b = 0.559438 − 0.639859I
−0.14578 + 4.97050I 0
u = 0.125690 − 1.245530I
a = 0.075130 − 0.127210I
b = 0.559438 + 0.639859I
−0.14578 − 4.97050I 0
u = 0.116619 + 0.707618I
a = 0.469121 + 0.190155I
b = 0.783447 − 0.632126I
2.34750 + 2.69810I 0
u = 0.116619 − 0.707618I
a = 0.469121 − 0.190155I
b = 0.783447 + 0.632126I
2.34750 − 2.69810I 0
u = 1.241780 + 0.360670I
a = −0.779193 − 0.660654I
b = 1.015850 + 0.879906I
5.19171 + 2.01313I 0
u = 1.241780 − 0.360670I
a = −0.779193 + 0.660654I
b = 1.015850 − 0.879906I
5.19171 − 2.01313I 0
u = −0.395761 + 1.238470I
a = −1.67747 + 0.73618I
b = −1.80089 − 0.24631I
−4.94996 − 4.30206I 0
u = −0.395761 − 1.238470I
a = −1.67747 − 0.73618I
b = −1.80089 + 0.24631I
−4.94996 + 4.30206I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.343954 + 0.587904I
a = 0.350168 + 0.631190I
b = 0.024698 + 0.500867I
−0.00798 + 1.65365I 0
u = 0.343954 − 0.587904I
a = 0.350168 − 0.631190I
b = 0.024698 − 0.500867I
−0.00798 − 1.65365I 0
u = 0.227794 + 1.302420I
a = 1.71330 + 0.30061I
b = 1.306730 − 0.536616I
−4.09401 + 5.43279I 0
u = 0.227794 − 1.302420I
a = 1.71330 − 0.30061I
b = 1.306730 + 0.536616I
−4.09401 − 5.43279I 0
u = 1.274050 + 0.385225I
a = 0.763387 + 0.450871I
b = 0.933879 − 0.338802I
1.88232 + 2.39507I 0
u = 1.274050 − 0.385225I
a = 0.763387 − 0.450871I
b = 0.933879 + 0.338802I
1.88232 − 2.39507I 0
u = −1.328210 + 0.172913I
a = −0.606992 + 1.142170I
b = 0.069657 − 0.613093I
5.21037 + 2.98126I 0
u = −1.328210 − 0.172913I
a = −0.606992 − 1.142170I
b = 0.069657 + 0.613093I
5.21037 − 2.98126I 0
u = −1.329800 + 0.240985I
a = 0.112373 − 1.343230I
b = 0.279489 + 0.426407I
0.56148 − 6.02464I 0
u = −1.329800 − 0.240985I
a = 0.112373 + 1.343230I
b = 0.279489 − 0.426407I
0.56148 + 6.02464I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.194490 + 0.634915I
a = 0.38794 − 1.63509I
b = 1.20321 + 1.03064I
5.30423 − 7.34352I 0
u = −1.194490 − 0.634915I
a = 0.38794 + 1.63509I
b = 1.20321 − 1.03064I
5.30423 + 7.34352I 0
u = 0.402837 + 0.497183I
a = 0.320224 + 0.850805I
b = 1.244390 − 0.364572I
−1.38050 + 5.00016I 0. − 9.49193I
u = 0.402837 − 0.497183I
a = 0.320224 − 0.850805I
b = 1.244390 + 0.364572I
−1.38050 − 5.00016I 0. + 9.49193I
u = 1.372130 + 0.150804I
a = 0.60945 − 1.47521I
b = −1.89823 + 1.75461I
4.20289 + 8.62109I 0
u = 1.372130 − 0.150804I
a = 0.60945 + 1.47521I
b = −1.89823 − 1.75461I
4.20289 − 8.62109I 0
u = −1.400810 + 0.159049I
a = −0.409440 − 1.210060I
b = 0.606970 + 1.237310I
−0.26679 − 9.38703I 0
u = −1.400810 − 0.159049I
a = −0.409440 + 1.210060I
b = 0.606970 − 1.237310I
−0.26679 + 9.38703I 0
u = −1.42668
a = 0.718436
b = −2.57271
−0.613003 0
u = −1.30320 + 0.59303I
a = −0.511695 + 0.877445I
b = −0.100888 − 0.985304I
4.96024 − 4.96838I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.30320 − 0.59303I
a = −0.511695 − 0.877445I
b = −0.100888 + 0.985304I
4.96024 + 4.96838I 0
u = −0.567677
a = 0.490107
b = −1.14200
−1.77907 −5.18620
u = 0.52532 + 1.34589I
a = 0.473497 + 0.007024I
b = 0.444301 + 0.616379I
0.39548 + 4.33374I 0
u = 0.52532 − 1.34589I
a = 0.473497 − 0.007024I
b = 0.444301 − 0.616379I
0.39548 − 4.33374I 0
u = −1.41981 + 0.26766I
a = 0.649756 − 0.389768I
b = 1.121740 + 0.311792I
2.20480 − 10.11460I 0
u = −1.41981 − 0.26766I
a = 0.649756 + 0.389768I
b = 1.121740 − 0.311792I
2.20480 + 10.11460I 0
u = −1.43085 + 0.21833I
a = −0.30087 + 1.40417I
b = 0.08741 − 2.07515I
5.80080 − 4.43061I 0
u = −1.43085 − 0.21833I
a = −0.30087 − 1.40417I
b = 0.08741 + 2.07515I
5.80080 + 4.43061I 0
u = 1.37685 + 0.48002I
a = −0.221068 − 0.863688I
b = −0.218612 + 0.767436I
4.52979 + 1.33796I 0
u = 1.37685 − 0.48002I
a = −0.221068 + 0.863688I
b = −0.218612 − 0.767436I
4.52979 − 1.33796I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.349486 + 0.409207I
a = 1.331860 + 0.024556I
b = −0.946034 + 0.653814I
−1.91537 + 1.81462I −5.84498 − 1.75098I
u = −0.349486 − 0.409207I
a = 1.331860 − 0.024556I
b = −0.946034 − 0.653814I
−1.91537 − 1.81462I −5.84498 + 1.75098I
u = −1.40938 + 0.50729I
a = −0.487450 + 0.765803I
b = 0.049376 − 0.835322I
7.06208 − 1.74086I 0
u = −1.40938 − 0.50729I
a = −0.487450 − 0.765803I
b = 0.049376 + 0.835322I
7.06208 + 1.74086I 0
u = −1.42183 + 0.48861I
a = 0.026092 − 1.397180I
b = 0.95940 + 1.11035I
4.87320 − 10.83730I 0
u = −1.42183 − 0.48861I
a = 0.026092 + 1.397180I
b = 0.95940 − 1.11035I
4.87320 + 10.83730I 0
u = 1.49455 + 0.17001I
a = 0.941153 + 0.356400I
b = −2.80546 − 1.08221I
2.65451 + 8.61052I 0
u = 1.49455 − 0.17001I
a = 0.941153 − 0.356400I
b = −2.80546 + 1.08221I
2.65451 − 8.61052I 0
u = −0.28877 + 1.47869I
a = 0.120770 + 0.123015I
b = −0.63944 + 1.43069I
−1.14226 + 3.62625I 0
u = −0.28877 − 1.47869I
a = 0.120770 − 0.123015I
b = −0.63944 − 1.43069I
−1.14226 − 3.62625I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.38195 + 0.60353I
a = −0.367064 − 0.593723I
b = 0.016286 + 0.724244I
5.55086 + 2.73527I 0
u = 1.38195 − 0.60353I
a = −0.367064 + 0.593723I
b = 0.016286 − 0.724244I
5.55086 − 2.73527I 0
u = 1.53490
a = −0.158963
b = 1.84837
1.52550 0
u = 1.55054 + 0.06643I
a = −0.259009 + 1.059910I
b = 0.73666 − 1.69771I
3.98425 + 2.69852I 0
u = 1.55054 − 0.06643I
a = −0.259009 − 1.059910I
b = 0.73666 + 1.69771I
3.98425 − 2.69852I 0
u = 0.328062 + 0.289528I
a = 1.93053 + 0.24387I
b = 0.236215 + 0.458228I
0.65266 + 1.63325I 2.68692 − 2.53683I
u = 0.328062 − 0.289528I
a = 1.93053 − 0.24387I
b = 0.236215 − 0.458228I
0.65266 − 1.63325I 2.68692 + 2.53683I
u = 1.56708
a = −0.189228
b = 1.93649
1.52572 0
u = −1.54300 + 0.34814I
a = 0.068942 + 1.277000I
b = −0.302820 − 1.262260I
7.44054 − 9.96841I 0
u = −1.54300 − 0.34814I
a = 0.068942 − 1.277000I
b = −0.302820 + 1.262260I
7.44054 + 9.96841I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.364665 + 0.181754I
a = 0.447705 + 0.540748I
b = −1.202540 + 0.294643I
−4.95344 + 0.19459I 6.08544 − 3.99455I
u = 0.364665 − 0.181754I
a = 0.447705 − 0.540748I
b = −1.202540 − 0.294643I
−4.95344 − 0.19459I 6.08544 + 3.99455I
u = −0.357344 + 0.145937I
a = 0.356206 + 0.571643I
b = 1.182780 − 0.524412I
−4.38967 + 8.38798I 5.79740 + 1.22412I
u = −0.357344 − 0.145937I
a = 0.356206 − 0.571643I
b = 1.182780 + 0.524412I
−4.38967 − 8.38798I 5.79740 − 1.22412I
u = 0.08064 + 1.61582I
a = −0.0950039 − 0.0340072I
b = −0.274149 − 0.272116I
−7.81593 + 4.25557I 0
u = 0.08064 − 1.61582I
a = −0.0950039 + 0.0340072I
b = −0.274149 + 0.272116I
−7.81593 − 4.25557I 0
u = 0.26673 + 1.59979I
a = −0.0224344 − 0.0574521I
b = −0.72872 − 1.36664I
0.00932 − 12.04250I 0
u = 0.26673 − 1.59979I
a = −0.0224344 + 0.0574521I
b = −0.72872 + 1.36664I
0.00932 + 12.04250I 0
u = −1.42052 + 0.83025I
a = 0.346397 − 0.701857I
b = 0.617617 + 0.761177I
5.08035 − 12.10800I 0
u = −1.42052 − 0.83025I
a = 0.346397 + 0.701857I
b = 0.617617 − 0.761177I
5.08035 + 12.10800I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.60096 + 0.41206I
a = −0.035198 − 1.209550I
b = −0.55990 + 1.37417I
8.41929 + 1.32210I 0
u = 1.60096 − 0.41206I
a = −0.035198 + 1.209550I
b = −0.55990 − 1.37417I
8.41929 − 1.32210I 0
u = 1.46173 + 0.78033I
a = 0.365604 + 0.701236I
b = 0.748972 − 0.841081I
3.83692 + 3.90710I 0
u = 1.46173 − 0.78033I
a = 0.365604 − 0.701236I
b = 0.748972 + 0.841081I
3.83692 − 3.90710I 0
u = −1.67712
a = −0.248186
b = −1.61998
−0.349305 0
u = −0.214366 + 0.220787I
a = 3.26112 − 2.94875I
b = 1.163770 + 0.077840I
−4.09858 + 3.90895I −5.63870 − 4.54668I
u = −0.214366 − 0.220787I
a = 3.26112 + 2.94875I
b = 1.163770 − 0.077840I
−4.09858 − 3.90895I −5.63870 + 4.54668I
u = 0.11947 + 1.69081I
a = 0.0937528 + 0.0110013I
b = 0.462723 + 1.325290I
−0.64061 − 1.41285I 0
u = 0.11947 − 1.69081I
a = 0.0937528 − 0.0110013I
b = 0.462723 − 1.325290I
−0.64061 + 1.41285I 0
u = 1.52387 + 0.75590I
a = −0.280745 − 1.234770I
b = −1.26006 + 1.41583I
4.1549 + 20.2245I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.52387 − 0.75590I
a = −0.280745 + 1.234770I
b = −1.26006 − 1.41583I
4.1549 − 20.2245I 0
u = −1.53333 + 0.74990I
a = −0.283174 + 1.225620I
b = −1.22937 − 1.56540I
2.91524 − 11.64700I 0
u = −1.53333 − 0.74990I
a = −0.283174 − 1.225620I
b = −1.22937 + 1.56540I
2.91524 + 11.64700I 0
u = −0.260160 + 0.125254I
a = 2.24562 − 1.13763I
b = 0.086350 + 0.861525I
−1.04836 + 3.32741I 1.24329 − 3.26995I
u = −0.260160 − 0.125254I
a = 2.24562 + 1.13763I
b = 0.086350 − 0.861525I
−1.04836 − 3.32741I 1.24329 + 3.26995I
u = 1.51956 + 0.84351I
a = 0.367911 + 1.152150I
b = 1.23263 − 1.26490I
3.30447 + 10.82410I 0
u = 1.51956 − 0.84351I
a = 0.367911 − 1.152150I
b = 1.23263 + 1.26490I
3.30447 − 10.82410I 0
u = 1.68007 + 0.45365I
a = 0.007095 + 1.105530I
b = 0.95314 − 1.35298I
5.51727 + 9.38680I 0
u = 1.68007 − 0.45365I
a = 0.007095 − 1.105530I
b = 0.95314 + 1.35298I
5.51727 − 9.38680I 0
u = 0.246123 + 0.005560I
a = 6.60826 + 2.07111I
b = −1.081240 − 0.595420I
−0.24013 − 7.66843I −2.90470 + 9.94586I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.246123 − 0.005560I
a = 6.60826 − 2.07111I
b = −1.081240 + 0.595420I
−0.24013 + 7.66843I −2.90470 − 9.94586I
u = 1.73414 + 0.44560I
a = 0.170113 + 0.795594I
b = 0.57746 − 1.64576I
5.26878 + 3.50302I 0
u = 1.73414 − 0.44560I
a = 0.170113 − 0.795594I
b = 0.57746 + 1.64576I
5.26878 − 3.50302I 0
u = −1.77431 + 0.26416I
a = 0.201090 − 0.875909I
b = 0.10396 + 1.61456I
7.52045 + 4.51180I 0
u = −1.77431 − 0.26416I
a = 0.201090 + 0.875909I
b = 0.10396 − 1.61456I
7.52045 − 4.51180I 0
u = −0.146951 + 0.063339I
a = 16.0501 + 6.7068I
b = −0.302716 + 0.864166I
−5.28228 − 0.20426I 7.06027 − 2.29073I
u = −0.146951 − 0.063339I
a = 16.0501 − 6.7068I
b = −0.302716 − 0.864166I
−5.28228 + 0.20426I 7.06027 + 2.29073I
u = −0.0026800 + 0.1179300I
a = 5.5607 − 28.2192I
b = −0.080542 − 1.019560I
−3.42340 + 8.12985I 10.41804 + 6.43309I
u = −0.0026800 − 0.1179300I
a = 5.5607 + 28.2192I
b = −0.080542 + 1.019560I
−3.42340 − 8.12985I 10.41804 − 6.43309I
u = −2.52670
a = −0.0942858
b = −2.44028
−0.402431 0
17
II.
I
u
2
= h−2.41×10
66
u
39
−2.82×10
66
u
38
+· · ·+8.09×10
65
b+1.19×10
65
, −1.39×
10
67
u
39
+1.04×10
65
u
38
+· · ·+5.66×10
66
a−7.79×10
67
, u
40
+u
39
+· · ·+2u−1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
3
=
2.45870u
39
− 0.0184122u
38
+ ··· − 27.5018u + 13.7615
2.97420u
39
+ 3.48270u
38
+ ··· − 19.2058u − 0.146681
a
8
=
1
−u
2
a
9
=
−2.55002u
39
− 2.83592u
38
+ ··· + 24.0835u − 4.68811
−0.546160u
39
− 0.543172u
38
+ ··· − 3.35179u + 0.405291
a
12
=
u
u
a
2
=
5.43290u
39
+ 3.46429u
38
+ ··· − 46.7077u + 13.6148
2.97420u
39
+ 3.48270u
38
+ ··· − 19.2058u − 0.146681
a
10
=
−4.63338u
39
− 2.81760u
38
+ ··· + 32.0659u − 11.2525
−2.42174u
39
− 2.58541u
38
+ ··· + 1.67460u − 2.14800
a
6
=
4.57440u
39
+ 5.38104u
38
+ ··· − 30.5626u + 3.29370
1.82173u
39
+ 2.41175u
38
+ ··· + 4.49594u + 0.168550
a
4
=
−1.60848u
39
− 4.20407u
38
+ ··· + 16.8447u + 10.6805
−5.52043u
39
− 6.02323u
38
+ ··· + 42.1526u − 2.77427
a
1
=
1.81620u
39
+ 1.00198u
38
+ ··· − 6.47369u + 3.86005
−2.31703u
39
− 2.12578u
38
+ ··· + 31.9391u − 2.36050
a
5
=
4.57440u
39
+ 5.38104u
38
+ ··· − 30.5626u + 3.29370
1.47615u
39
+ 1.83065u
38
+ ··· + 7.45707u + 0.975187
(ii) Obstruction class = 1
(iii) Cusp Shapes = 11.0866u
39
+ 19.1437u
38
+ ··· − 56.3405u − 45.1389
18
(iv) u-Polynomials at the component
19
Crossings u-Polynomials at each crossing
c
1
u
40
− 23u
39
+ ··· + 10u + 1
c
2
u
40
− 3u
39
+ ··· − 42u − 49
c
3
u
40
+ 8u
39
+ ··· + 125u + 25
c
4
7(7u
40
+ 12u
39
+ ··· + 11u − 1)
c
5
7(7u
40
+ 12u
39
+ ··· + 862u + 79)
c
6
u
40
− 13u
39
+ ··· − 78u + 7
c
7
u
40
+ u
39
+ ··· + 2u − 1
c
8
7(7u
40
+ 10u
39
+ ··· + 9u − 1)
c
9
7(7u
40
− 11u
39
+ ··· + 26u − 13)
c
10
u
40
− 10u
39
+ ··· + 71u + 7
c
11
u
40
− u
39
+ ··· − 2u − 1
c
12
u
40
− 12u
39
+ ··· + 406u + 49
20
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
40
− 77y
39
+ ··· − 40y + 1
c
2
y
40
− 27y
39
+ ··· + 41552y + 2401
c
3
y
40
− 12y
39
+ ··· + 13975y + 625
c
4
49(49y
40
+ 220y
39
+ ··· − 471y + 1)
c
5
49(49y
40
+ 612y
39
+ ··· − 443634y + 6241)
c
6
y
40
− 17y
39
+ ··· − 302y + 49
c
7
, c
11
y
40
− 17y
39
+ ··· + 34y + 1
c
8
49(49y
40
− 842y
39
+ ··· − 43y + 1)
c
9
49(49y
40
+ 873y
39
+ ··· − 6526y + 169)
c
10
y
40
+ 4y
39
+ ··· − 4495y + 49
c
12
y
40
− 72y
39
+ ··· − 35280y + 2401
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.985813 + 0.047998I
a = 1.40863 + 1.55003I
b = −0.860752 − 0.979037I
0.81879 − 7.38277I 4.59353 + 7.95478I
u = 0.985813 − 0.047998I
a = 1.40863 − 1.55003I
b = −0.860752 + 0.979037I
0.81879 + 7.38277I 4.59353 − 7.95478I
u = −0.140334 + 1.034600I
a = 0.532953 + 0.635960I
b = −0.178779 + 0.526366I
−2.86290 + 2.38388I 0.74022 − 10.13995I
u = −0.140334 − 1.034600I
a = 0.532953 − 0.635960I
b = −0.178779 − 0.526366I
−2.86290 − 2.38388I 0.74022 + 10.13995I
u = 0.270336 + 1.009650I
a = 2.31571 + 0.91260I
b = 1.52664 − 0.01344I
−5.51622 + 4.56551I −15.2487 − 6.9844I
u = 0.270336 − 1.009650I
a = 2.31571 − 0.91260I
b = 1.52664 + 0.01344I
−5.51622 − 4.56551I −15.2487 + 6.9844I
u = −0.900200 + 0.288577I
a = 1.250680 − 0.514850I
b = 0.357254 + 0.685349I
1.05389 − 1.31798I −4.29350 + 4.90343I
u = −0.900200 − 0.288577I
a = 1.250680 + 0.514850I
b = 0.357254 − 0.685349I
1.05389 + 1.31798I −4.29350 − 4.90343I
u = −1.103470 + 0.194766I
a = −0.93591 + 1.46791I
b = −0.536646 − 0.578625I
1.21435 − 2.20942I 0. + 8.18325I
u = −1.103470 − 0.194766I
a = −0.93591 − 1.46791I
b = −0.536646 + 0.578625I
1.21435 + 2.20942I 0. − 8.18325I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.130230 + 0.172412I
a = −0.903497 − 0.922720I
b = 1.232620 + 0.608134I
5.39290 + 0.98456I 1.091376 + 0.161509I
u = 1.130230 − 0.172412I
a = −0.903497 + 0.922720I
b = 1.232620 − 0.608134I
5.39290 − 0.98456I 1.091376 − 0.161509I
u = 0.521674 + 1.065710I
a = −0.168052 + 0.390847I
b = 1.26221 + 1.24322I
−1.60771 − 3.26575I −10.4994 + 20.1595I
u = 0.521674 − 1.065710I
a = −0.168052 − 0.390847I
b = 1.26221 − 1.24322I
−1.60771 + 3.26575I −10.4994 − 20.1595I
u = −0.434507 + 1.121790I
a = −0.430137 − 0.138212I
b = −0.059769 + 0.349551I
0.28364 − 3.88388I 1.36521 + 1.74386I
u = −0.434507 − 1.121790I
a = −0.430137 + 0.138212I
b = −0.059769 − 0.349551I
0.28364 + 3.88388I 1.36521 − 1.74386I
u = −0.337327 + 1.233090I
a = −1.69780 + 0.49564I
b = −1.33154 − 0.74125I
−4.16063 − 5.13415I −6.36747 − 3.09799I
u = −0.337327 − 1.233090I
a = −1.69780 − 0.49564I
b = −1.33154 + 0.74125I
−4.16063 + 5.13415I −6.36747 + 3.09799I
u = −0.316516 + 0.520550I
a = −0.46712 + 1.67089I
b = −1.331820 − 0.186224I
−2.32747 − 5.29189I −6.87764 + 8.97663I
u = −0.316516 − 0.520550I
a = −0.46712 − 1.67089I
b = −1.331820 + 0.186224I
−2.32747 + 5.29189I −6.87764 − 8.97663I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.30916 + 0.55445I
a = −0.475487 + 0.613831I
b = 0.215809 − 0.732916I
5.30013 − 2.75882I 0
u = −1.30916 − 0.55445I
a = −0.475487 − 0.613831I
b = 0.215809 + 0.732916I
5.30013 + 2.75882I 0
u = 1.41380 + 0.18507I
a = 0.590885 − 0.315476I
b = −2.22284 + 0.16384I
3.25291 + 8.75744I 0
u = 1.41380 − 0.18507I
a = 0.590885 + 0.315476I
b = −2.22284 − 0.16384I
3.25291 − 8.75744I 0
u = −0.075594 + 0.510852I
a = 0.88648 + 5.00898I
b = −0.369451 + 0.799053I
−5.58689 − 0.25968I −19.1860 + 2.0754I
u = −0.075594 − 0.510852I
a = 0.88648 − 5.00898I
b = −0.369451 − 0.799053I
−5.58689 + 0.25968I −19.1860 − 2.0754I
u = 0.179526 + 0.420507I
a = 4.83757 − 5.63997I
b = −0.024623 − 1.025940I
−3.56553 + 8.28671I −15.3469 − 21.7718I
u = 0.179526 − 0.420507I
a = 4.83757 + 5.63997I
b = −0.024623 + 1.025940I
−3.56553 − 8.28671I −15.3469 + 21.7718I
u = −0.06148 + 1.56478I
a = 0.0566131 − 0.1045900I
b = 0.338591 − 0.195472I
−7.89437 − 4.28045I 0
u = −0.06148 − 1.56478I
a = 0.0566131 + 0.1045900I
b = 0.338591 + 0.195472I
−7.89437 + 4.28045I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.006801 + 0.413917I
a = −0.041680 − 0.840946I
b = −1.137090 + 0.353354I
−5.30901 + 0.03558I −13.08662 + 3.87514I
u = 0.006801 − 0.413917I
a = −0.041680 + 0.840946I
b = −1.137090 − 0.353354I
−5.30901 − 0.03558I −13.08662 − 3.87514I
u = 0.160986 + 0.334496I
a = −0.216404 − 0.977522I
b = 1.076980 − 0.498814I
−4.64626 + 8.64955I −10.0735 − 14.3657I
u = 0.160986 − 0.334496I
a = −0.216404 + 0.977522I
b = 1.076980 + 0.498814I
−4.64626 − 8.64955I −10.0735 + 14.3657I
u = 1.52801 + 0.57282I
a = 0.126503 + 1.248900I
b = 0.97762 − 1.25745I
4.17482 + 9.89074I 0
u = 1.52801 − 0.57282I
a = 0.126503 − 1.248900I
b = 0.97762 + 1.25745I
4.17482 − 9.89074I 0
u = −1.62923 + 0.38674I
a = −0.210724 + 0.890348I
b = −0.40963 − 1.68332I
5.07142 − 3.41108I 0
u = −1.62923 − 0.38674I
a = −0.210724 − 0.890348I
b = −0.40963 + 1.68332I
5.07142 + 3.41108I 0
u = 1.83581
a = −0.259494
b = 2.47431
1.32808 0
u = −2.61455
a = −0.0874792
b = −2.52384
−0.398487 0
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
40
− 23u
39
+ ··· + 10u + 1)(u
130
+ 14u
129
+ ··· − 159u + 7)
c
2
(u
40
− 3u
39
+ ··· − 42u − 49)
· (u
130
− u
128
+ ··· − 576070405u + 33881141)
c
3
(u
40
+ 8u
39
+ ··· + 125u + 25)
· (u
130
− 7u
129
+ ··· + 2725074u + 389673)
c
4
49(7u
40
+ 12u
39
+ ··· + 11u − 1)(7u
130
− 25u
129
+ ··· + 12u + 1)
c
5
49(7u
40
+ 12u
39
+ ··· + 862u + 79)
· (7u
130
+ 3u
129
+ ··· + 49395145991u + 2288603579)
c
6
(u
40
− 13u
39
+ ··· − 78u + 7)(u
130
− 8u
129
+ ··· − 205u + 7)
c
7
(u
40
+ u
39
+ ··· + 2u − 1)(u
130
+ 2u
129
+ ··· + 23095u + 1849)
c
8
49(7u
40
+ 10u
39
+ ··· + 9u − 1)
· (7u
130
− 13u
129
+ ··· − 2351020u + 743993)
c
9
49(7u
40
− 11u
39
+ ··· + 26u − 13)
· (7u
130
− 34u
129
+ ··· − 829543u − 30137)
c
10
(u
40
− 10u
39
+ ··· + 71u + 7)(u
130
− 9u
129
+ ··· − 4538u + 203)
c
11
(u
40
− u
39
+ ··· − 2u − 1)(u
130
+ 2u
129
+ ··· + 23095u + 1849)
c
12
(u
40
− 12u
39
+ ··· + 406u + 49)
· (u
130
+ 11u
129
+ ··· − 3169857u − 257957)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
40
− 77y
39
+ ··· − 40y + 1)(y
130
− 72y
129
+ ··· + 493y + 49)
c
2
(y
40
− 27y
39
+ ··· + 41552y + 2401)
· (y
130
− 2y
129
+ ··· + 55704648955559029y + 1147931715461881)
c
3
(y
40
− 12y
39
+ ··· + 13975y + 625)
· (y
130
− 39y
129
+ ··· − 9840220879212y + 151845046929)
c
4
2401(49y
40
+ 220y
39
+ ··· − 471y + 1)
· (49y
130
+ 145y
129
+ ··· − 314y + 1)
c
5
2401(49y
40
+ 612y
39
+ ··· − 443634y + 6241)
· (49y
130
− 2207y
129
+ ··· − 2.91 × 10
20
y + 5.24 × 10
18
)
c
6
(y
40
− 17y
39
+ ··· − 302y + 49)(y
130
− 28y
129
+ ··· − 5709y + 49)
c
7
, c
11
(y
40
− 17y
39
+ ··· + 34y + 1)
· (y
130
− 96y
129
+ ··· + 11750551y + 3418801)
c
8
2401(49y
40
− 842y
39
+ ··· − 43y + 1)
· (49y
130
+ 503y
129
+ ··· + 54403265075498y + 553525584049)
c
9
2401(49y
40
+ 873y
39
+ ··· − 6526y + 169)
· (49y
130
+ 846y
129
+ ··· − 131837763381y + 908238769)
c
10
(y
40
+ 4y
39
+ ··· − 4495y + 49)
· (y
130
+ 17y
129
+ ··· − 739638y + 41209)
c
12
(y
40
− 72y
39
+ ··· − 35280y + 2401)
· (y
130
− 87y
129
+ ··· − 1836787174947y + 66541813849)
28
