12a
0661
(K12a
0661
)
A knot diagram
1
Linearized knot diagam
3 7 10 12 9 2 11 6 5 1 8 4
Solving Sequence
5,9
6
10,12
4 1 3 8 11 7 2
c
5
c
9
c
4
c
12
c
3
c
8
c
11
c
7
c
2
c
1
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.59089 × 10
353
u
123
− 1.96420 × 10
353
u
122
+ ··· + 7.82191 × 10
352
b − 4.85657 × 10
355
,
− 2.33244 × 10
354
u
123
+ 5.54408 × 10
354
u
122
+ ··· + 1.31326 × 10
354
a + 2.61506 × 10
356
,
u
124
− 3u
123
+ ··· + 4171u − 319i
I
u
2
= h32u
27
− 63u
26
+ ··· + 22b + 65, −17u
27
+ 40u
26
+ ··· + 22a + 49, u
28
− 2u
27
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 152 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
= h1.59 × 10
353
u
123
− 1.96 × 10
353
u
122
+ · · · + 7.82 × 10
352
b − 4.86 ×
10
355
, −2.33 × 10
354
u
123
+ 5.54 × 10
354
u
122
+ · · · + 1.31 × 10
354
a + 2.62 ×
10
356
, u
124
− 3u
123
+ · · · + 4171u − 319i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
6
=
1
u
2
a
10
=
−u
u
a
12
=
1.77607u
123
− 4.22163u
122
+ ··· + 2217.05u − 199.128
−2.03388u
123
+ 2.51115u
122
+ ··· − 7748.62u + 620.894
a
4
=
−1.23259u
123
+ 8.43210u
122
+ ··· + 12260.0u − 932.343
0.0162502u
123
− 3.39877u
122
+ ··· − 8118.89u + 620.437
a
1
=
−4.98442u
123
+ 11.2275u
122
+ ··· − 6449.73u + 557.288
5.43166u
123
− 10.8386u
122
+ ··· + 11192.9u − 944.221
a
3
=
0.895133u
123
− 0.148738u
122
+ ··· + 6098.03u − 490.749
−2.11147u
123
+ 5.18207u
122
+ ··· − 1956.92u + 178.843
a
8
=
u
u
3
+ u
a
11
=
3.01341u
123
− 3.45919u
122
+ ··· + 12483.9u − 1004.07
−2.56402u
123
+ 0.714711u
122
+ ··· − 15750.0u + 1243.31
a
7
=
−0.792892u
123
+ 6.91093u
122
+ ··· + 11727.3u − 896.399
−0.0882374u
123
− 6.99881u
122
+ ··· − 17800.5u + 1367.38
a
2
=
0.642959u
123
− 5.37935u
122
+ ··· − 8165.53u + 603.004
−0.669866u
123
+ 8.55200u
122
+ ··· + 16249.6u − 1239.38
(ii) Obstruction class = −1
(iii) Cusp Shapes = 5.71275u
123
− 19.2191u
122
+ ··· − 9360.80u + 669.914
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
124
+ 53u
123
+ ··· + 1650235u + 58081
c
2
, c
6
u
124
− 3u
123
+ ··· + 95u + 241
c
3
u
124
+ u
123
+ ··· − 408u − 55
c
4
, c
12
u
124
+ 7u
123
+ ··· + 7155u + 259
c
5
, c
8
, c
9
u
124
− 3u
123
+ ··· + 4171u − 319
c
7
, c
11
u
124
− 3u
123
+ ··· + 19246u − 26113
c
10
u
124
− 2u
123
+ ··· − 2298u + 527
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
124
+ 51y
123
+ ··· − 72457205119y + 3373402561
c
2
, c
6
y
124
− 53y
123
+ ··· − 1650235y + 58081
c
3
y
124
+ 17y
123
+ ··· + 165626y + 3025
c
4
, c
12
y
124
+ 85y
123
+ ··· − 5023131y + 67081
c
5
, c
8
, c
9
y
124
+ 119y
123
+ ··· − 1789209y + 101761
c
7
, c
11
y
124
− 79y
123
+ ··· − 23009909482y + 681888769
c
10
y
124
− 22y
123
+ ··· − 29497508y + 277729
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.504282 + 0.902735I
a = −0.388663 + 0.724722I
b = −0.234266 − 1.313250I
−7.97101 + 0.79758I 0
u = 0.504282 − 0.902735I
a = −0.388663 − 0.724722I
b = −0.234266 + 1.313250I
−7.97101 − 0.79758I 0
u = −0.947892 + 0.452882I
a = −0.644349 + 0.387865I
b = 0.459402 + 1.284200I
−3.24896 + 7.73036I 0
u = −0.947892 − 0.452882I
a = −0.644349 − 0.387865I
b = 0.459402 − 1.284200I
−3.24896 − 7.73036I 0
u = 0.900733 + 0.289936I
a = −0.097473 + 0.619378I
b = 0.487317 + 0.871281I
−1.79193 − 0.08524I 0
u = 0.900733 − 0.289936I
a = −0.097473 − 0.619378I
b = 0.487317 − 0.871281I
−1.79193 + 0.08524I 0
u = 1.002870 + 0.401166I
a = 0.638222 + 0.448627I
b = −0.487194 + 1.282810I
−5.1392 − 13.5247I 0
u = 1.002870 − 0.401166I
a = 0.638222 − 0.448627I
b = −0.487194 − 1.282810I
−5.1392 + 13.5247I 0
u = −0.896422 + 0.179606I
a = 0.258572 + 0.780564I
b = 0.022835 + 0.622639I
−0.393906 + 0.302555I 0
u = −0.896422 − 0.179606I
a = 0.258572 − 0.780564I
b = 0.022835 − 0.622639I
−0.393906 − 0.302555I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.909648 + 0.043217I
a = −0.285133 + 0.622969I
b = 0.458642 + 0.592270I
−1.07158 + 4.12928I 0
u = 0.909648 − 0.043217I
a = −0.285133 − 0.622969I
b = 0.458642 − 0.592270I
−1.07158 − 4.12928I 0
u = −0.796957 + 0.421910I
a = −0.010145 + 0.600230I
b = −0.443302 + 0.965747I
−2.03802 − 3.71379I 0
u = −0.796957 − 0.421910I
a = −0.010145 − 0.600230I
b = −0.443302 − 0.965747I
−2.03802 + 3.71379I 0
u = 0.117259 + 1.113920I
a = 0.055084 + 0.158443I
b = 0.02660 + 1.46337I
−3.48714 + 2.18174I 0
u = 0.117259 − 1.113920I
a = 0.055084 − 0.158443I
b = 0.02660 − 1.46337I
−3.48714 − 2.18174I 0
u = 0.807862 + 0.325208I
a = 0.823787 + 0.381386I
b = −0.46573 + 1.34417I
−9.66366 − 5.49117I 0
u = 0.807862 − 0.325208I
a = 0.823787 − 0.381386I
b = −0.46573 − 1.34417I
−9.66366 + 5.49117I 0
u = 0.745149 + 0.419234I
a = −0.124235 + 1.113360I
b = −0.216959 + 0.372234I
−1.30994 + 4.47965I 0
u = 0.745149 − 0.419234I
a = −0.124235 − 1.113360I
b = −0.216959 − 0.372234I
−1.30994 − 4.47965I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.104485 + 1.148760I
a = 2.19169 + 0.27765I
b = −0.665752 − 1.000520I
−0.34726 + 7.02419I 0
u = −0.104485 − 1.148760I
a = 2.19169 − 0.27765I
b = −0.665752 + 1.000520I
−0.34726 − 7.02419I 0
u = −0.430582 + 0.684588I
a = 0.375412 − 0.538398I
b = −0.642590 + 0.173830I
1.38631 + 3.84395I 0
u = −0.430582 − 0.684588I
a = 0.375412 + 0.538398I
b = −0.642590 − 0.173830I
1.38631 − 3.84395I 0
u = −0.712947 + 0.359366I
a = 1.202130 − 0.257704I
b = 0.019519 − 1.155380I
−3.93027 + 0.75546I 0
u = −0.712947 − 0.359366I
a = 1.202130 + 0.257704I
b = 0.019519 + 1.155380I
−3.93027 − 0.75546I 0
u = 0.030322 + 1.204310I
a = −2.02526 − 0.30899I
b = 0.100756 + 0.779464I
0.26881 − 6.67008I 0
u = 0.030322 − 1.204310I
a = −2.02526 + 0.30899I
b = 0.100756 − 0.779464I
0.26881 + 6.67008I 0
u = −0.067198 + 1.203350I
a = −1.37448 + 0.37769I
b = 0.157333 + 0.910151I
−1.38517 + 0.70482I 0
u = −0.067198 − 1.203350I
a = −1.37448 − 0.37769I
b = 0.157333 − 0.910151I
−1.38517 − 0.70482I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.520172 + 0.535108I
a = −0.714713 − 0.008125I
b = 0.34669 + 1.41996I
−3.11709 + 3.34793I 0
u = −0.520172 − 0.535108I
a = −0.714713 + 0.008125I
b = 0.34669 − 1.41996I
−3.11709 − 3.34793I 0
u = −0.022941 + 1.257170I
a = 1.51304 − 0.28977I
b = −0.196338 + 0.761079I
2.56225 + 2.07639I 0
u = −0.022941 − 1.257170I
a = 1.51304 + 0.28977I
b = −0.196338 − 0.761079I
2.56225 − 2.07639I 0
u = 0.616998 + 0.409583I
a = 0.453826 − 0.370339I
b = −0.916220 + 0.055975I
−1.13619 − 8.54756I 0
u = 0.616998 − 0.409583I
a = 0.453826 + 0.370339I
b = −0.916220 − 0.055975I
−1.13619 + 8.54756I 0
u = 0.151254 + 0.711841I
a = −0.309803 − 0.662722I
b = 0.592611 + 0.280560I
2.39918 + 0.77305I 0
u = 0.151254 − 0.711841I
a = −0.309803 + 0.662722I
b = 0.592611 − 0.280560I
2.39918 − 0.77305I 0
u = −0.940187 + 0.860928I
a = 0.383824 + 0.163093I
b = 0.252477 − 1.092460I
−2.21455 − 1.50809I 0
u = −0.940187 − 0.860928I
a = 0.383824 − 0.163093I
b = 0.252477 + 1.092460I
−2.21455 + 1.50809I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.678385 + 0.203441I
a = 0.83068 − 1.31041I
b = −0.242725 − 1.106060I
−3.78635 + 1.93964I −15.4912 − 3.6171I
u = −0.678385 − 0.203441I
a = 0.83068 + 1.31041I
b = −0.242725 + 1.106060I
−3.78635 − 1.93964I −15.4912 + 3.6171I
u = 0.228702 + 1.278140I
a = −0.767641 − 0.584509I
b = 0.710329 + 0.468045I
2.93412 + 0.26963I 0
u = 0.228702 − 1.278140I
a = −0.767641 + 0.584509I
b = 0.710329 − 0.468045I
2.93412 − 0.26963I 0
u = 0.117928 + 1.295930I
a = 1.97704 + 0.77611I
b = −1.30936 − 0.75163I
−1.19950 − 2.15348I 0
u = 0.117928 − 1.295930I
a = 1.97704 − 0.77611I
b = −1.30936 + 0.75163I
−1.19950 + 2.15348I 0
u = 0.385636 + 1.243190I
a = −1.60490 − 0.21718I
b = 0.566228 − 1.047800I
1.24012 − 4.61231I 0
u = 0.385636 − 1.243190I
a = −1.60490 + 0.21718I
b = 0.566228 + 1.047800I
1.24012 + 4.61231I 0
u = −0.694381 + 0.063734I
a = 0.478395 − 0.576036I
b = −0.342338 − 0.269747I
−0.475457 − 0.163530I −8.00000 + 0.I
u = −0.694381 − 0.063734I
a = 0.478395 + 0.576036I
b = −0.342338 + 0.269747I
−0.475457 + 0.163530I −8.00000 + 0.I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.031703 + 1.303800I
a = −1.75239 + 0.59787I
b = 0.85630 − 1.20445I
3.28375 − 2.87621I 0
u = 0.031703 − 1.303800I
a = −1.75239 − 0.59787I
b = 0.85630 + 1.20445I
3.28375 + 2.87621I 0
u = 0.056567 + 1.305550I
a = 0.59729 + 1.66988I
b = −0.51023 − 2.15585I
−1.31237 − 4.02163I 0
u = 0.056567 − 1.305550I
a = 0.59729 − 1.66988I
b = −0.51023 + 2.15585I
−1.31237 + 4.02163I 0
u = −0.358190 + 0.592334I
a = −0.237523 + 0.440505I
b = −0.224983 + 0.989083I
−2.23416 + 1.35912I −10.39246 − 3.66826I
u = −0.358190 − 0.592334I
a = −0.237523 − 0.440505I
b = −0.224983 − 0.989083I
−2.23416 − 1.35912I −10.39246 + 3.66826I
u = 0.039852 + 1.309440I
a = 0.008779 + 0.212177I
b = 0.01595 + 1.53551I
−3.78139 − 1.96855I 0
u = 0.039852 − 1.309440I
a = 0.008779 − 0.212177I
b = 0.01595 − 1.53551I
−3.78139 + 1.96855I 0
u = −0.544286 + 0.415050I
a = 1.16305 − 1.68151I
b = −0.388049 − 1.133720I
−1.41055 + 7.76478I −10.06194 − 9.01309I
u = −0.544286 − 0.415050I
a = 1.16305 + 1.68151I
b = −0.388049 + 1.133720I
−1.41055 − 7.76478I −10.06194 + 9.01309I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.900943 + 0.995750I
a = −0.275334 + 0.223540I
b = −0.320610 − 1.103600I
−3.54723 + 7.13827I 0
u = 0.900943 − 0.995750I
a = −0.275334 − 0.223540I
b = −0.320610 + 1.103600I
−3.54723 − 7.13827I 0
u = 0.623610 + 0.203731I
a = −1.87691 − 0.86027I
b = 0.046437 − 1.233880I
−5.97175 − 4.98863I −16.5066 + 6.8379I
u = 0.623610 − 0.203731I
a = −1.87691 + 0.86027I
b = 0.046437 + 1.233880I
−5.97175 + 4.98863I −16.5066 − 6.8379I
u = −0.137884 + 1.346450I
a = 0.993595 − 0.530091I
b = −0.450750 + 0.471679I
3.49429 + 1.97776I 0
u = −0.137884 − 1.346450I
a = 0.993595 + 0.530091I
b = −0.450750 − 0.471679I
3.49429 − 1.97776I 0
u = 0.149302 + 1.382170I
a = 1.73513 − 0.96625I
b = −1.01688 + 1.00728I
0.204948 + 0.798549I 0
u = 0.149302 − 1.382170I
a = 1.73513 + 0.96625I
b = −1.01688 − 1.00728I
0.204948 − 0.798549I 0
u = −0.444232 + 0.417608I
a = −0.494420 − 0.554229I
b = 0.877959 + 0.175876I
1.00789 + 3.02626I −5.24811 − 6.49636I
u = −0.444232 − 0.417608I
a = −0.494420 + 0.554229I
b = 0.877959 − 0.175876I
1.00789 − 3.02626I −5.24811 + 6.49636I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.242539 + 1.384710I
a = −1.82170 + 0.65347I
b = 0.204281 − 1.058920I
−0.89855 − 8.15019I 0
u = 0.242539 − 1.384710I
a = −1.82170 − 0.65347I
b = 0.204281 + 1.058920I
−0.89855 + 8.15019I 0
u = −0.280586 + 1.382860I
a = 1.64430 + 0.09415I
b = −0.386956 − 1.161700I
1.24837 + 5.46311I 0
u = −0.280586 − 1.382860I
a = 1.64430 − 0.09415I
b = −0.386956 + 1.161700I
1.24837 − 5.46311I 0
u = 0.18183 + 1.43369I
a = −1.45458 + 0.15252I
b = 0.53993 − 1.33073I
5.79641 − 5.39823I 0
u = 0.18183 − 1.43369I
a = −1.45458 − 0.15252I
b = 0.53993 + 1.33073I
5.79641 + 5.39823I 0
u = 0.16541 + 1.45041I
a = −1.13211 + 1.19035I
b = 0.122509 − 0.956774I
−1.43371 − 0.56609I 0
u = 0.16541 − 1.45041I
a = −1.13211 − 1.19035I
b = 0.122509 + 0.956774I
−1.43371 + 0.56609I 0
u = −0.18515 + 1.45139I
a = −1.65451 + 0.21380I
b = 1.386840 − 0.091908I
7.02450 + 5.46071I 0
u = −0.18515 − 1.45139I
a = −1.65451 − 0.21380I
b = 1.386840 + 0.091908I
7.02450 − 5.46071I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.222202 + 0.485662I
a = −0.22456 + 2.61671I
b = −0.1200250 − 0.0458072I
−3.28127 − 1.12229I −4.47243 + 8.54784I
u = 0.222202 − 0.485662I
a = −0.22456 − 2.61671I
b = −0.1200250 + 0.0458072I
−3.28127 + 1.12229I −4.47243 − 8.54784I
u = −0.22214 + 1.45283I
a = 1.44751 + 0.05543I
b = −0.47886 − 1.34270I
4.58118 + 10.67500I 0
u = −0.22214 − 1.45283I
a = 1.44751 − 0.05543I
b = −0.47886 + 1.34270I
4.58118 − 10.67500I 0
u = 0.422208 + 0.315122I
a = −0.98607 − 2.05854I
b = 0.390370 − 1.083910I
0.09412 − 3.05257I −6.04524 + 3.72690I
u = 0.422208 − 0.315122I
a = −0.98607 + 2.05854I
b = 0.390370 + 1.083910I
0.09412 + 3.05257I −6.04524 − 3.72690I
u = −0.25832 + 1.45044I
a = 1.285920 + 0.570968I
b = −0.241611 − 0.942390I
1.91061 + 4.29181I 0
u = −0.25832 − 1.45044I
a = 1.285920 − 0.570968I
b = −0.241611 + 0.942390I
1.91061 − 4.29181I 0
u = 0.23902 + 1.45735I
a = 1.53178 + 0.32946I
b = −1.309600 − 0.124461I
4.86325 − 11.72350I 0
u = 0.23902 − 1.45735I
a = 1.53178 − 0.32946I
b = −1.309600 + 0.124461I
4.86325 + 11.72350I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31214 + 1.45107I
a = 1.66306 − 0.57839I
b = −0.70620 + 1.32951I
−3.95949 − 9.54259I 0
u = 0.31214 − 1.45107I
a = 1.66306 + 0.57839I
b = −0.70620 − 1.32951I
−3.95949 + 9.54259I 0
u = 0.47484 + 1.40869I
a = −1.257530 − 0.186443I
b = 0.607209 − 0.930486I
3.28428 − 9.39538I 0
u = 0.47484 − 1.40869I
a = −1.257530 + 0.186443I
b = 0.607209 + 0.930486I
3.28428 + 9.39538I 0
u = −0.19439 + 1.48451I
a = −1.50499 − 0.99050I
b = 0.90836 + 1.47161I
3.36459 + 6.00347I 0
u = −0.19439 − 1.48451I
a = −1.50499 + 0.99050I
b = 0.90836 − 1.47161I
3.36459 − 6.00347I 0
u = 0.27349 + 1.47462I
a = −0.775570 − 0.386956I
b = 0.779505 + 0.630906I
4.18908 − 4.20047I 0
u = 0.27349 − 1.47462I
a = −0.775570 + 0.386956I
b = 0.779505 − 0.630906I
4.18908 + 4.20047I 0
u = 0.498827
a = 0.902018
b = −1.15687
−5.13361 −21.5670
u = −0.41823 + 1.44551I
a = 1.209760 − 0.071430I
b = −0.544467 − 0.872405I
4.15703 + 4.63775I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.41823 − 1.44551I
a = 1.209760 + 0.071430I
b = −0.544467 + 0.872405I
4.15703 − 4.63775I 0
u = 0.17219 + 1.49960I
a = 0.870630 − 0.142226I
b = −0.456490 + 1.064680I
5.50862 + 1.19833I 0
u = 0.17219 − 1.49960I
a = 0.870630 + 0.142226I
b = −0.456490 − 1.064680I
5.50862 − 1.19833I 0
u = −0.27875 + 1.49014I
a = −0.775333 − 0.121682I
b = 0.387214 + 1.144860I
5.49665 + 4.57399I 0
u = −0.27875 − 1.49014I
a = −0.775333 + 0.121682I
b = 0.387214 − 1.144860I
5.49665 − 4.57399I 0
u = −0.19547 + 1.50356I
a = 0.828673 − 0.351238I
b = −0.723606 + 0.701469I
4.66193 − 0.21936I 0
u = −0.19547 − 1.50356I
a = 0.828673 + 0.351238I
b = −0.723606 − 0.701469I
4.66193 + 0.21936I 0
u = 0.02579 + 1.51861I
a = −1.230880 − 0.301812I
b = 1.001380 + 0.078330I
9.71135 + 0.14472I 0
u = 0.02579 − 1.51861I
a = −1.230880 + 0.301812I
b = 1.001380 − 0.078330I
9.71135 − 0.14472I 0
u = −0.08781 + 1.53843I
a = 1.127180 − 0.293212I
b = −0.905624 − 0.008097I
8.78533 + 5.62093I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.08781 − 1.53843I
a = 1.127180 + 0.293212I
b = −0.905624 + 0.008097I
8.78533 − 5.62093I 0
u = −0.35359 + 1.51281I
a = −1.49152 − 0.39856I
b = 0.66794 + 1.37357I
3.04994 + 12.42370I 0
u = −0.35359 − 1.51281I
a = −1.49152 + 0.39856I
b = 0.66794 − 1.37357I
3.04994 − 12.42370I 0
u = 0.38284 + 1.50608I
a = 1.53232 − 0.31534I
b = −0.65510 + 1.36948I
0.9574 − 18.4962I 0
u = 0.38284 − 1.50608I
a = 1.53232 + 0.31534I
b = −0.65510 − 1.36948I
0.9574 + 18.4962I 0
u = −0.445092
a = 0.760913
b = −0.213653
−0.767850 −12.4900
u = 0.370066 + 0.186586I
a = 1.54119 − 0.27398I
b = −0.59049 + 1.47944I
−4.86685 + 2.82154I −25.1217 − 2.2501I
u = 0.370066 − 0.186586I
a = 1.54119 + 0.27398I
b = −0.59049 − 1.47944I
−4.86685 − 2.82154I −25.1217 + 2.2501I
u = 0.221253 + 0.281737I
a = −3.25658 + 2.69055I
b = −0.012966 − 1.296560I
−7.33463 + 1.25650I −21.3205 + 0.2961I
u = 0.221253 − 0.281737I
a = −3.25658 − 2.69055I
b = −0.012966 + 1.296560I
−7.33463 − 1.25650I −21.3205 − 0.2961I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.295730 + 0.067229I
a = 1.05636 + 1.66278I
b = 0.407383 + 0.943902I
−0.42494 + 1.86336I −2.72169 − 2.56590I
u = 0.295730 − 0.067229I
a = 1.05636 − 1.66278I
b = 0.407383 − 0.943902I
−0.42494 − 1.86336I −2.72169 + 2.56590I
u = −0.07744 + 1.85606I
a = 0.083305 + 0.465229I
b = −0.008774 − 0.792016I
7.87320 + 3.16787I 0
u = −0.07744 − 1.85606I
a = 0.083305 − 0.465229I
b = −0.008774 + 0.792016I
7.87320 − 3.16787I 0
17
II. I
u
2
= h32u
27
− 63u
26
+ · · · + 22b + 65, −17u
27
+ 40u
26
+ · · · + 22a +
49, u
28
− 2u
27
+ · · · + u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
6
=
1
u
2
a
10
=
−u
u
a
12
=
0.772727u
27
− 1.81818u
26
+ ··· + 6.50000u − 2.22727
−1.45455u
27
+ 2.86364u
26
+ ··· − 4u − 2.95455
a
4
=
−3.54545u
27
+ 3.63636u
26
+ ··· − 16u − 0.545455
3.13636u
27
− 5.40909u
26
+ ··· + 9.50000u − 0.363636
a
1
=
−3.09091u
27
+ 11.7727u
26
+ ··· − 21.4091u
2
− 5.59091
31
22
u
27
−
96
11
u
26
+ ··· +
1
2
u +
9
22
a
3
=
−3.45455u
27
+ 6.86364u
26
+ ··· − 13u + 2.04545
3.04545u
27
− 8.63636u
26
+ ··· + 6.50000u − 2.95455
a
8
=
u
u
3
+ u
a
11
=
−0.227273u
27
+ 0.181818u
26
+ ··· + 6.50000u − 2.22727
−1.45455u
27
+ 2.86364u
26
+ ··· − 3u − 2.95455
a
7
=
2.86364u
27
− 5.59091u
26
+ ··· − 2.50000u + 2.36364
2.22727u
27
− 4.18182u
26
+ ··· + 6.50000u + 3.22727
a
2
=
7.90909u
27
− 15.2273u
26
+ ··· + 14u − 1.59091
−9.77273u
27
+ 15.3182u
26
+ ··· − 13.5000u − 6.27273
(ii) Obstruction class = 1
(iii) Cusp Shapes =
91
22
u
27
−
295
22
u
26
+ ··· +
29
2
u −
81
11
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
28
− 14u
27
+ ··· − 15u + 1
c
2
u
28
− 7u
26
+ ··· − u + 1
c
3
u
28
+ 6u
26
+ ··· + 6u + 1
c
4
u
28
+ 14u
26
+ ··· + 3u + 3
c
5
u
28
− 2u
27
+ ··· + u + 1
c
6
u
28
− 7u
26
+ ··· + u + 1
c
7
u
28
+ 4u
27
+ ··· + 2u + 1
c
8
, c
9
u
28
+ 2u
27
+ ··· − u + 1
c
10
u
28
− 9u
27
+ ··· − 10u
3
+ 1
c
11
u
28
− 4u
27
+ ··· − 2u + 1
c
12
u
28
+ 14u
26
+ ··· − 3u + 3
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
28
+ 14y
27
+ ··· + 9y + 1
c
2
, c
6
y
28
− 14y
27
+ ··· − 15y + 1
c
3
y
28
+ 12y
27
+ ··· − 6y + 1
c
4
, c
12
y
28
+ 28y
27
+ ··· + 177y + 9
c
5
, c
8
, c
9
y
28
+ 30y
27
+ ··· + 19y + 1
c
7
, c
11
y
28
− 28y
27
+ ··· − 26y + 1
c
10
y
28
− 7y
27
+ ··· + 68y
2
+ 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.804478 + 0.472868I
a = 0.375522 + 0.787255I
b = 0.281831 + 0.839942I
−0.734153 + 0.905338I −6.91720 − 2.72610I
u = 0.804478 − 0.472868I
a = 0.375522 − 0.787255I
b = 0.281831 − 0.839942I
−0.734153 − 0.905338I −6.91720 + 2.72610I
u = −0.580547 + 0.584804I
a = −0.88150 + 1.19650I
b = −0.247940 + 0.798534I
−2.12904 − 5.53949I −12.64091 + 5.98852I
u = −0.580547 − 0.584804I
a = −0.88150 − 1.19650I
b = −0.247940 − 0.798534I
−2.12904 + 5.53949I −12.64091 − 5.98852I
u = −0.011069 + 1.215740I
a = 0.370642 + 0.549559I
b = −0.05011 + 1.44205I
−4.61591 − 1.39014I −15.8779 − 0.7762I
u = −0.011069 − 1.215740I
a = 0.370642 − 0.549559I
b = −0.05011 − 1.44205I
−4.61591 + 1.39014I −15.8779 + 0.7762I
u = 0.738809 + 0.020463I
a = −0.308628 − 0.562536I
b = 0.414400 − 0.920033I
−1.36028 − 2.10650I −11.09704 + 3.28649I
u = 0.738809 − 0.020463I
a = −0.308628 + 0.562536I
b = 0.414400 + 0.920033I
−1.36028 + 2.10650I −11.09704 − 3.28649I
u = −0.045826 + 1.295270I
a = 0.96289 − 1.27451I
b = −0.56816 + 1.84700I
−1.31998 + 3.69354I −10.96772 + 4.40456I
u = −0.045826 − 1.295270I
a = 0.96289 + 1.27451I
b = −0.56816 − 1.84700I
−1.31998 − 3.69354I −10.96772 − 4.40456I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.235995 + 1.280910I
a = 2.20073 + 0.13780I
b = −0.444278 − 0.905839I
0.55796 + 8.46690I −7.04639 − 10.34121I
u = −0.235995 − 1.280910I
a = 2.20073 − 0.13780I
b = −0.444278 + 0.905839I
0.55796 − 8.46690I −7.04639 + 10.34121I
u = 0.328453 + 1.295300I
a = −1.64606 − 0.21409I
b = 0.431824 − 1.033670I
2.27964 − 4.99742I −4.10228 + 3.81516I
u = 0.328453 − 1.295300I
a = −1.64606 + 0.21409I
b = 0.431824 + 1.033670I
2.27964 + 4.99742I −4.10228 − 3.81516I
u = −0.027569 + 0.652001I
a = −0.28745 + 2.30760I
b = −0.029084 − 1.317530I
−6.78004 + 1.52867I −8.26698 − 5.66051I
u = −0.027569 − 0.652001I
a = −0.28745 − 2.30760I
b = −0.029084 + 1.317530I
−6.78004 − 1.52867I −8.26698 + 5.66051I
u = −0.121195 + 1.363620I
a = 1.48577 + 0.72554I
b = −0.656690 − 0.383032I
0.251713 + 0.544639I −8.30088 − 1.57925I
u = −0.121195 − 1.363620I
a = 1.48577 − 0.72554I
b = −0.656690 + 0.383032I
0.251713 − 0.544639I −8.30088 + 1.57925I
u = 0.202719 + 1.374900I
a = −0.746580 − 0.674941I
b = 0.539395 + 0.686147I
3.35075 − 1.13997I −8.00000 − 1.34059I
u = 0.202719 − 1.374900I
a = −0.746580 + 0.674941I
b = 0.539395 − 0.686147I
3.35075 + 1.13997I −8.00000 + 1.34059I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.23157 + 1.45507I
a = −1.42061 + 0.61641I
b = 0.73908 − 1.20862I
3.84154 − 5.62197I −3.44034 + 3.31186I
u = 0.23157 − 1.45507I
a = −1.42061 − 0.61641I
b = 0.73908 + 1.20862I
3.84154 + 5.62197I −3.44034 − 3.31186I
u = −0.132838 + 0.465619I
a = −0.085985 + 1.255370I
b = −0.23045 − 1.51287I
−4.45222 − 3.07364I −11.2636 + 8.9173I
u = −0.132838 − 0.465619I
a = −0.085985 − 1.255370I
b = −0.23045 + 1.51287I
−4.45222 + 3.07364I −11.2636 − 8.9173I
u = −0.238553 + 0.323922I
a = 0.49736 + 3.09828I
b = −0.223792 + 0.579168I
−3.69779 + 0.84739I −19.4814 + 0.4340I
u = −0.238553 − 0.323922I
a = 0.49736 − 3.09828I
b = −0.223792 − 0.579168I
−3.69779 − 0.84739I −19.4814 − 0.4340I
u = 0.08756 + 1.79835I
a = −0.016112 − 0.173187I
b = 0.043967 + 0.623109I
8.22808 − 3.06818I 0
u = 0.08756 − 1.79835I
a = −0.016112 + 0.173187I
b = 0.043967 − 0.623109I
8.22808 + 3.06818I 0
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
28
− 14u
27
+ ··· − 15u + 1)
· (u
124
+ 53u
123
+ ··· + 1650235u + 58081)
c
2
(u
28
− 7u
26
+ ··· − u + 1)(u
124
− 3u
123
+ ··· + 95u + 241)
c
3
(u
28
+ 6u
26
+ ··· + 6u + 1)(u
124
+ u
123
+ ··· − 408u − 55)
c
4
(u
28
+ 14u
26
+ ··· + 3u + 3)(u
124
+ 7u
123
+ ··· + 7155u + 259)
c
5
(u
28
− 2u
27
+ ··· + u + 1)(u
124
− 3u
123
+ ··· + 4171u − 319)
c
6
(u
28
− 7u
26
+ ··· + u + 1)(u
124
− 3u
123
+ ··· + 95u + 241)
c
7
(u
28
+ 4u
27
+ ··· + 2u + 1)(u
124
− 3u
123
+ ··· + 19246u − 26113)
c
8
, c
9
(u
28
+ 2u
27
+ ··· − u + 1)(u
124
− 3u
123
+ ··· + 4171u − 319)
c
10
(u
28
− 9u
27
+ ··· − 10u
3
+ 1)(u
124
− 2u
123
+ ··· − 2298u + 527)
c
11
(u
28
− 4u
27
+ ··· − 2u + 1)(u
124
− 3u
123
+ ··· + 19246u − 26113)
c
12
(u
28
+ 14u
26
+ ··· − 3u + 3)(u
124
+ 7u
123
+ ··· + 7155u + 259)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
28
+ 14y
27
+ ··· + 9y + 1)
· (y
124
+ 51y
123
+ ··· − 72457205119y + 3373402561)
c
2
, c
6
(y
28
− 14y
27
+ ··· − 15y + 1)
· (y
124
− 53y
123
+ ··· − 1650235y + 58081)
c
3
(y
28
+ 12y
27
+ ··· − 6y + 1)(y
124
+ 17y
123
+ ··· + 165626y + 3025)
c
4
, c
12
(y
28
+ 28y
27
+ ··· + 177y + 9)
· (y
124
+ 85y
123
+ ··· − 5023131y + 67081)
c
5
, c
8
, c
9
(y
28
+ 30y
27
+ ··· + 19y + 1)
· (y
124
+ 119y
123
+ ··· − 1789209y + 101761)
c
7
, c
11
(y
28
− 28y
27
+ ··· − 26y + 1)
· (y
124
− 79y
123
+ ··· − 23009909482y + 681888769)
c
10
(y
28
− 7y
27
+ ··· + 68y
2
+ 1)
· (y
124
− 22y
123
+ ··· − 29497508y + 277729)
25
