12a
0899
(K12a
0899
)
A knot diagram
1
Linearized knot diagam
4 6 8 10 2 11 3 1 12 5 7 9
Solving Sequence
9,12 4,10
5 1 2 6 8 3 7 11
c
9
c
4
c
12
c
1
c
5
c
8
c
3
c
7
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h5.31448 × 10
257
u
111
− 1.76917 × 10
257
u
110
+ ··· + 1.48293 × 10
257
b − 1.37884 × 10
258
,
7.71958 × 10
259
u
111
− 1.40702 × 10
260
u
110
+ ··· + 1.48293 × 10
257
a − 4.42439 × 10
260
,
u
112
− 2u
111
+ ··· − 23u + 1i
I
u
2
= h15997u
25
+ 41142u
24
+ ··· + 6461b − 29882, 15550u
25
+ 46684u
24
+ ··· + 6461a − 54931,
u
26
+ 3u
25
+ ··· − 8u − 1i
* 2 irreducible components of dim
C
= 0, with total 138 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
= h5.31 × 10
257
u
111
− 1.77 × 10
257
u
110
+ · · · + 1.48 × 10
257
b − 1.38 ×
10
258
, 7.72 × 10
259
u
111
− 1.41 × 10
260
u
110
+ · · · + 1.48 × 10
257
a − 4.42 ×
10
260
, u
112
− 2u
111
+ · · · − 23u + 1i
(i) Arc colorings
a
9
=
1
0
a
12
=
0
u
a
4
=
−520.564u
111
+ 948.813u
110
+ ··· − 51467.1u + 2983.55
−3.58378u
111
+ 1.19303u
110
+ ··· − 267.555u + 9.29811
a
10
=
1
−u
2
a
5
=
−542.410u
111
+ 984.657u
110
+ ··· − 53337.3u + 3085.16
−2.16416u
111
− 7.83445u
110
+ ··· − 108.879u + 1.44931
a
1
=
u
u
a
2
=
−1056.91u
111
+ 1933.81u
110
+ ··· − 106888.u + 6250.33
−75.7120u
111
+ 135.568u
110
+ ··· − 8302.06u + 488.749
a
6
=
−1068.16u
111
+ 1953.81u
110
+ ··· − 107946.u + 6311.12
−77.0039u
111
+ 137.226u
110
+ ··· − 8412.35u + 495.607
a
8
=
u
2
+ 1
u
2
a
3
=
−509.806u
111
+ 926.133u
110
+ ··· − 50189.2u + 2902.75
−2.58895u
111
− 5.71626u
110
+ ··· − 190.952u + 5.54308
a
7
=
−239.300u
111
+ 439.445u
110
+ ··· − 24450.5u + 1427.38
38.7353u
111
− 70.8328u
110
+ ··· + 4055.77u − 242.400
a
11
=
−665.637u
111
+ 1220.07u
110
+ ··· − 67560.3u + 3951.81
9.83848u
111
− 18.3554u
110
+ ··· + 1269.98u − 78.0166
(ii) Obstruction class = −1
(iii) Cusp Shapes = −109.837u
111
+ 198.495u
110
+ ··· − 11119.0u + 666.424
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
112
− 4u
111
+ ··· − 7935981u + 3893033
c
2
, c
5
u
112
+ u
111
+ ··· − 5u − 1
c
3
, c
7
u
112
− u
111
+ ··· − 101643u + 105943
c
4
, c
10
u
112
− u
111
+ ··· + 21029u + 4019
c
6
, c
11
u
112
+ u
111
+ ··· − 2376u − 363
c
8
, c
9
, c
12
u
112
+ 2u
111
+ ··· + 23u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
112
− 44y
111
+ ··· − 268247760995493y + 15155705939089
c
2
, c
5
y
112
− 61y
111
+ ··· − 91y + 1
c
3
, c
7
y
112
− 65y
111
+ ··· − 130189064955y + 11223919249
c
4
, c
10
y
112
− 45y
111
+ ··· − 949754237y + 16152361
c
6
, c
11
y
112
− 63y
111
+ ··· − 4022040y + 131769
c
8
, c
9
, c
12
y
112
+ 110y
111
+ ··· − 77y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.888878 + 0.483069I
a = 0.820267 − 0.852850I
b = 0.105956 + 0.406692I
−0.75358 + 13.54180I 0
u = 0.888878 − 0.483069I
a = 0.820267 + 0.852850I
b = 0.105956 − 0.406692I
−0.75358 − 13.54180I 0
u = −0.848540 + 0.407010I
a = −0.977309 − 0.231448I
b = 0.164712 + 0.307819I
−3.28167 + 2.36912I 0
u = −0.848540 − 0.407010I
a = −0.977309 + 0.231448I
b = 0.164712 − 0.307819I
−3.28167 − 2.36912I 0
u = 0.984950 + 0.412034I
a = −0.768371 + 0.619947I
b = 0.000420 − 0.259804I
2.27707 + 6.24115I 0
u = 0.984950 − 0.412034I
a = −0.768371 − 0.619947I
b = 0.000420 + 0.259804I
2.27707 − 6.24115I 0
u = −0.656780 + 0.638719I
a = −0.213899 − 0.194560I
b = 0.359123 + 0.934305I
−4.15110 − 7.34468I 0
u = −0.656780 − 0.638719I
a = −0.213899 + 0.194560I
b = 0.359123 − 0.934305I
−4.15110 + 7.34468I 0
u = 0.309096 + 0.859738I
a = −0.683678 − 0.177668I
b = 0.698397 − 0.169884I
2.04420 − 4.39389I 0
u = 0.309096 − 0.859738I
a = −0.683678 + 0.177668I
b = 0.698397 + 0.169884I
2.04420 + 4.39389I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.908274
a = 1.24784
b = −0.295395
−6.60691 0
u = −0.892339 + 0.659239I
a = 0.360633 + 0.565138I
b = 0.005139 − 0.182725I
0.29491 − 2.84712I 0
u = −0.892339 − 0.659239I
a = 0.360633 − 0.565138I
b = 0.005139 + 0.182725I
0.29491 + 2.84712I 0
u = 0.812198 + 0.764487I
a = −0.010822 + 0.256620I
b = −0.774675 + 0.603921I
−1.53240 − 7.81325I 0
u = 0.812198 − 0.764487I
a = −0.010822 − 0.256620I
b = −0.774675 − 0.603921I
−1.53240 + 7.81325I 0
u = −0.721219 + 0.471928I
a = −0.83967 − 1.36144I
b = −0.076016 + 0.296520I
−3.81198 − 6.62535I 0
u = −0.721219 − 0.471928I
a = −0.83967 + 1.36144I
b = −0.076016 − 0.296520I
−3.81198 + 6.62535I 0
u = −0.692596 + 0.511227I
a = 0.127886 + 0.177907I
b = 0.963684 + 0.451851I
−3.97617 + 1.98114I 0
u = −0.692596 − 0.511227I
a = 0.127886 − 0.177907I
b = 0.963684 − 0.451851I
−3.97617 − 1.98114I 0
u = −0.827898 + 0.802767I
a = −0.226581 − 0.011489I
b = −0.474973 − 0.448407I
−0.07268 − 3.27898I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.827898 − 0.802767I
a = −0.226581 + 0.011489I
b = −0.474973 + 0.448407I
−0.07268 + 3.27898I 0
u = −0.571035 + 0.609680I
a = −0.286966 + 0.923789I
b = −0.081621 − 0.325077I
−0.36569 − 3.63805I 0
u = −0.571035 − 0.609680I
a = −0.286966 − 0.923789I
b = −0.081621 + 0.325077I
−0.36569 + 3.63805I 0
u = 0.415284 + 1.093070I
a = 0.188349 + 0.475086I
b = −0.654100 + 0.506853I
4.02686 + 1.81633I 0
u = 0.415284 − 1.093070I
a = 0.188349 − 0.475086I
b = −0.654100 − 0.506853I
4.02686 − 1.81633I 0
u = −0.469786 + 0.633364I
a = −0.809509 + 0.707431I
b = −0.246105 − 0.235061I
−0.31782 − 3.60247I 0
u = −0.469786 − 0.633364I
a = −0.809509 − 0.707431I
b = −0.246105 + 0.235061I
−0.31782 + 3.60247I 0
u = −0.522680 + 0.554135I
a = 0.073104 + 0.998642I
b = 0.468593 − 0.304847I
0.73324 − 3.77410I 0
u = −0.522680 − 0.554135I
a = 0.073104 − 0.998642I
b = 0.468593 + 0.304847I
0.73324 + 3.77410I 0
u = 0.584674 + 0.478117I
a = 0.526437 − 0.727056I
b = −0.518271 + 0.594563I
−7.45052 + 1.97887I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.584674 − 0.478117I
a = 0.526437 + 0.727056I
b = −0.518271 − 0.594563I
−7.45052 − 1.97887I 0
u = 0.239762 + 1.222110I
a = 0.903455 − 0.644187I
b = 2.08979 − 1.24020I
−1.78376 + 4.58038I 0
u = 0.239762 − 1.222110I
a = 0.903455 + 0.644187I
b = 2.08979 + 1.24020I
−1.78376 − 4.58038I 0
u = 0.719928 + 0.204245I
a = 1.073130 − 0.817359I
b = 0.544051 + 0.338917I
6.62237 + 2.30625I 0
u = 0.719928 − 0.204245I
a = 1.073130 + 0.817359I
b = 0.544051 − 0.338917I
6.62237 − 2.30625I 0
u = 0.734331 + 1.018270I
a = 0.220294 − 0.220908I
b = 0.683557 − 0.753562I
0.526244 − 0.211571I 0
u = 0.734331 − 1.018270I
a = 0.220294 + 0.220908I
b = 0.683557 + 0.753562I
0.526244 + 0.211571I 0
u = 0.229525 + 1.250300I
a = −0.71424 + 1.43502I
b = −1.68809 + 2.63776I
0.56515 + 3.26255I 0
u = 0.229525 − 1.250300I
a = −0.71424 − 1.43502I
b = −1.68809 − 2.63776I
0.56515 − 3.26255I 0
u = 0.640231 + 0.286062I
a = −0.870616 + 1.039980I
b = −0.642136 − 0.634118I
3.72195 + 7.95714I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.640231 − 0.286062I
a = −0.870616 − 1.039980I
b = −0.642136 + 0.634118I
3.72195 − 7.95714I 0
u = 0.065592 + 1.324340I
a = 1.38872 + 1.34246I
b = 1.94468 + 2.24119I
−2.68484 − 4.51466I 0
u = 0.065592 − 1.324340I
a = 1.38872 − 1.34246I
b = 1.94468 − 2.24119I
−2.68484 + 4.51466I 0
u = −0.569998 + 0.354459I
a = 0.068889 − 0.831964I
b = −0.564605 + 0.099910I
1.270540 + 0.011557I 0
u = −0.569998 − 0.354459I
a = 0.068889 + 0.831964I
b = −0.564605 − 0.099910I
1.270540 − 0.011557I 0
u = 0.667378
a = 2.88391
b = 0.210916
4.38393 0
u = 0.187133 + 1.339810I
a = 0.02910 − 1.82847I
b = −0.07474 − 3.15921I
−2.58031 + 1.43395I 0
u = 0.187133 − 1.339810I
a = 0.02910 + 1.82847I
b = −0.07474 + 3.15921I
−2.58031 − 1.43395I 0
u = 0.038211 + 1.362560I
a = −1.03902 − 1.59308I
b = −0.91425 − 2.61426I
−0.909859 − 0.175020I 0
u = 0.038211 − 1.362560I
a = −1.03902 + 1.59308I
b = −0.91425 + 2.61426I
−0.909859 + 0.175020I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.621091 + 0.052178I
a = −2.07214 + 1.27013I
b = −0.110111 − 0.184233I
1.78705 − 1.40064I 0
u = 0.621091 − 0.052178I
a = −2.07214 − 1.27013I
b = −0.110111 + 0.184233I
1.78705 + 1.40064I 0
u = 0.046611 + 1.388430I
a = −0.764451 + 0.232753I
b = −2.78588 + 0.38709I
−2.91103 + 6.41883I 0
u = 0.046611 − 1.388430I
a = −0.764451 − 0.232753I
b = −2.78588 − 0.38709I
−2.91103 − 6.41883I 0
u = 0.041592 + 1.388610I
a = −0.049359 − 0.808927I
b = 1.31465 − 1.45004I
−1.11162 + 1.61071I 0
u = 0.041592 − 1.388610I
a = −0.049359 + 0.808927I
b = 1.31465 + 1.45004I
−1.11162 − 1.61071I 0
u = −0.216039 + 1.373150I
a = −0.597574 + 0.473238I
b = −0.891372 + 0.629845I
−4.09294 − 2.79139I 0
u = −0.216039 − 1.373150I
a = −0.597574 − 0.473238I
b = −0.891372 − 0.629845I
−4.09294 + 2.79139I 0
u = 0.241355 + 1.389350I
a = 0.36435 + 1.63142I
b = 0.49327 + 2.39937I
1.53420 + 5.71848I 0
u = 0.241355 − 1.389350I
a = 0.36435 − 1.63142I
b = 0.49327 − 2.39937I
1.53420 − 5.71848I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.108951 + 1.406800I
a = −0.333720 + 1.288790I
b = −0.40544 + 1.85399I
−4.05644 − 2.25978I 0
u = −0.108951 − 1.406800I
a = −0.333720 − 1.288790I
b = −0.40544 − 1.85399I
−4.05644 + 2.25978I 0
u = 0.034930 + 1.413010I
a = 1.62996 − 1.06504I
b = 1.06109 − 1.25473I
−5.63807 − 0.19831I 0
u = 0.034930 − 1.413010I
a = 1.62996 + 1.06504I
b = 1.06109 + 1.25473I
−5.63807 + 0.19831I 0
u = −0.556673 + 0.170203I
a = −0.038788 − 0.318279I
b = −0.424577 + 0.144248I
1.029400 − 0.157780I 9.96548 + 0.I
u = −0.556673 − 0.170203I
a = −0.038788 + 0.318279I
b = −0.424577 − 0.144248I
1.029400 + 0.157780I 9.96548 + 0.I
u = −0.01611 + 1.42034I
a = −1.27207 + 4.12698I
b = −1.23266 + 4.32374I
−4.86355 + 0.25606I 0
u = −0.01611 − 1.42034I
a = −1.27207 − 4.12698I
b = −1.23266 − 4.32374I
−4.86355 − 0.25606I 0
u = 0.21434 + 1.42402I
a = −0.54873 − 1.93154I
b = −0.90888 − 2.65849I
−1.78470 + 11.01610I 0
u = 0.21434 − 1.42402I
a = −0.54873 + 1.93154I
b = −0.90888 + 2.65849I
−1.78470 − 11.01610I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.03911 + 1.44804I
a = 0.18081 − 1.61496I
b = −0.20881 − 2.50376I
−7.08685 + 0.13972I 0
u = −0.03911 − 1.44804I
a = 0.18081 + 1.61496I
b = −0.20881 + 2.50376I
−7.08685 − 0.13972I 0
u = 0.40142 + 1.40893I
a = −0.441279 + 1.042440I
b = −0.46892 + 2.11084I
−11.17970 + 4.75221I 0
u = 0.40142 − 1.40893I
a = −0.441279 − 1.042440I
b = −0.46892 − 2.11084I
−11.17970 − 4.75221I 0
u = −0.12792 + 1.48402I
a = 0.77290 − 1.49329I
b = 1.18588 − 2.33514I
−5.94706 − 5.93213I 0
u = −0.12792 − 1.48402I
a = 0.77290 + 1.49329I
b = 1.18588 + 2.33514I
−5.94706 + 5.93213I 0
u = 0.18456 + 1.49371I
a = −0.51205 + 1.47476I
b = −0.14404 + 2.54769I
−13.8995 + 4.7412I 0
u = 0.18456 − 1.49371I
a = −0.51205 − 1.47476I
b = −0.14404 − 2.54769I
−13.8995 − 4.7412I 0
u = −0.26311 + 1.50158I
a = −0.23567 + 1.80532I
b = −0.61845 + 3.22042I
−10.2116 − 10.2371I 0
u = −0.26311 − 1.50158I
a = −0.23567 − 1.80532I
b = −0.61845 − 3.22042I
−10.2116 + 10.2371I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.10480 + 1.53037I
a = 0.266993 − 1.138530I
b = −0.27946 − 1.92995I
−8.14520 + 1.33211I 0
u = 0.10480 − 1.53037I
a = 0.266993 + 1.138530I
b = −0.27946 + 1.92995I
−8.14520 − 1.33211I 0
u = −0.065095 + 0.460437I
a = 1.58814 + 1.28274I
b = 0.479028 − 0.182021I
−1.165640 + 0.499413I −5.19076 + 1.66062I
u = −0.065095 − 0.460437I
a = 1.58814 − 1.28274I
b = 0.479028 + 0.182021I
−1.165640 − 0.499413I −5.19076 − 1.66062I
u = −0.23916 + 1.53025I
a = 0.659000 + 0.430745I
b = 0.286824 + 0.951997I
−10.65820 − 1.50319I 0
u = −0.23916 − 1.53025I
a = 0.659000 − 0.430745I
b = 0.286824 − 0.951997I
−10.65820 + 1.50319I 0
u = −0.22584 + 1.53488I
a = 0.350088 − 1.331390I
b = 0.99650 − 2.34919I
−7.35856 − 6.71737I 0
u = −0.22584 − 1.53488I
a = 0.350088 + 1.331390I
b = 0.99650 + 2.34919I
−7.35856 + 6.71737I 0
u = −0.20916 + 1.54648I
a = 0.51492 + 1.48797I
b = 0.10664 + 2.34240I
−11.3166 − 10.5015I 0
u = −0.20916 − 1.54648I
a = 0.51492 − 1.48797I
b = 0.10664 − 2.34240I
−11.3166 + 10.5015I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.21303 + 1.54923I
a = −0.048088 − 0.987232I
b = 0.54693 − 1.72484I
−7.68044 − 6.50345I 0
u = −0.21303 − 1.54923I
a = −0.048088 + 0.987232I
b = 0.54693 + 1.72484I
−7.68044 + 6.50345I 0
u = 0.32187 + 1.53085I
a = 0.15654 + 1.65884I
b = 0.56396 + 2.85036I
−7.2754 + 17.9474I 0
u = 0.32187 − 1.53085I
a = 0.15654 − 1.65884I
b = 0.56396 − 2.85036I
−7.2754 − 17.9474I 0
u = 0.35599 + 1.52655I
a = −0.081116 − 1.371590I
b = −0.41070 − 2.44033I
−4.00844 + 11.06760I 0
u = 0.35599 − 1.52655I
a = −0.081116 + 1.371590I
b = −0.41070 + 2.44033I
−4.00844 − 11.06760I 0
u = −0.32751 + 1.53359I
a = 0.263870 + 1.264230I
b = 0.24911 + 2.19387I
−9.58615 − 2.01979I 0
u = −0.32751 − 1.53359I
a = 0.263870 − 1.264230I
b = 0.24911 − 2.19387I
−9.58615 + 2.01979I 0
u = −0.24795 + 1.56918I
a = 0.248137 − 1.325260I
b = 0.69224 − 2.24165I
−7.09786 − 6.80459I 0
u = −0.24795 − 1.56918I
a = 0.248137 + 1.325260I
b = 0.69224 + 2.24165I
−7.09786 + 6.80459I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.283745 + 0.256798I
a = −0.504962 + 0.072472I
b = −0.98472 + 1.03807I
0.425848 + 0.918121I 5.6447 + 13.0644I
u = −0.283745 − 0.256798I
a = −0.504962 − 0.072472I
b = −0.98472 − 1.03807I
0.425848 − 0.918121I 5.6447 − 13.0644I
u = 0.13783 + 1.62171I
a = −0.478196 + 0.748250I
b = −0.136955 + 1.302590I
−9.93942 − 4.42272I 0
u = 0.13783 − 1.62171I
a = −0.478196 − 0.748250I
b = −0.136955 − 1.302590I
−9.93942 + 4.42272I 0
u = 0.081238 + 0.362325I
a = 0.93810 + 1.59958I
b = 0.474193 − 0.284562I
−1.207760 + 0.458570I −5.75903 − 0.46248I
u = 0.081238 − 0.362325I
a = 0.93810 − 1.59958I
b = 0.474193 + 0.284562I
−1.207760 − 0.458570I −5.75903 + 0.46248I
u = 0.117177 + 0.197063I
a = 1.36184 + 0.83111I
b = 0.98382 − 1.29410I
−0.385914 − 0.804745I −5.0743 − 22.6531I
u = 0.117177 − 0.197063I
a = 1.36184 − 0.83111I
b = 0.98382 + 1.29410I
−0.385914 + 0.804745I −5.0743 + 22.6531I
u = 0.203253 + 0.026875I
a = 1.99481 − 8.68595I
b = 0.939429 + 0.097452I
1.73008 − 5.65394I 8.80031 + 7.77715I
u = 0.203253 − 0.026875I
a = 1.99481 + 8.68595I
b = 0.939429 − 0.097452I
1.73008 + 5.65394I 8.80031 − 7.77715I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.166581 + 0.003687I
a = −6.71770 − 5.02112I
b = −1.138890 + 0.141353I
3.59989 + 0.92371I 5.69455 − 0.96799I
u = 0.166581 − 0.003687I
a = −6.71770 + 5.02112I
b = −1.138890 − 0.141353I
3.59989 − 0.92371I 5.69455 + 0.96799I
16
II. I
u
2
= h15997u
25
+ 41142u
24
+ · · · + 6461b − 29882, 15550u
25
+ 46684u
24
+
· · · + 6461a − 54931, u
26
+ 3u
25
+ · · · − 8u − 1i
(i) Arc colorings
a
9
=
1
0
a
12
=
0
u
a
4
=
−2.40675u
25
− 7.22551u
24
+ ··· + 36.9885u + 8.50193
−2.47593u
25
− 6.36774u
24
+ ··· + 19.6601u + 4.62498
a
10
=
1
−u
2
a
5
=
−4.33633u
25
− 11.6199u
24
+ ··· + 54.1998u + 13.1217
−2.88438u
25
− 6.48042u
24
+ ··· + 10.4348u + 3.23061
a
1
=
u
u
a
2
=
−1.98901u
25
− 6.63736u
24
+ ··· + 12.8352u + 2.96703
−1.95929u
25
− 7.51586u
24
+ ··· + 22.0232u + 3.79338
a
6
=
−4.07398u
25
− 12.1879u
24
+ ··· + 36.2506u + 8.86983
−2.52314u
25
− 8.78471u
24
+ ··· + 19.0020u + 3.68209
a
8
=
u
2
+ 1
u
2
a
3
=
−4.19502u
25
− 11.9848u
24
+ ··· + 65.9534u + 14.5146
−2.53645u
25
− 6.26621u
24
+ ··· + 20.5115u + 4.94738
a
7
=
−0.436155u
25
− 1.73116u
24
+ ··· + 1.02120u + 2.11128
−1.06176u
25
− 2.36186u
24
+ ··· + 15.9686u + 4.57963
a
11
=
1.76567u
25
+ 5.80235u
24
+ ··· − 37.0766u − 4.81814
−1.35738u
25
− 2.49760u
24
+ ··· + 6.19161u + 2.49466
(ii) Obstruction class = 1
(iii) Cusp Shapes =
37907
6461
u
25
+
116252
6461
u
24
+ ··· +
46555
6461
u +
41161
6461
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
26
− 9u
25
+ ··· + 20u − 1
c
2
u
26
+ 6u
25
+ ··· + 6u + 1
c
3
u
26
+ u
24
+ ··· − 4u + 1
c
4
u
26
+ u
24
+ ··· − 2u + 1
c
5
u
26
− 6u
25
+ ··· − 6u + 1
c
6
u
26
+ 2u
25
+ ··· + u + 1
c
7
u
26
+ u
24
+ ··· + 4u + 1
c
8
, c
9
u
26
+ 3u
25
+ ··· − 8u − 1
c
10
u
26
+ u
24
+ ··· + 2u + 1
c
11
u
26
− 2u
25
+ ··· − u + 1
c
12
u
26
− 3u
25
+ ··· + 8u − 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
26
− y
25
+ ··· − 28y + 1
c
2
, c
5
y
26
− 14y
25
+ ··· − 14y + 1
c
3
, c
7
y
26
+ 2y
25
+ ··· − 2y + 1
c
4
, c
10
y
26
+ 2y
25
+ ··· − 4y + 1
c
6
, c
11
y
26
− 20y
25
+ ··· − 23y + 1
c
8
, c
9
, c
12
y
26
+ 25y
25
+ ··· − 16y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.431137 + 0.906221I
a = 0.525034 − 0.591227I
b = 1.091530 − 0.895741I
2.53235 + 2.66750I 2.71797 − 4.12988I
u = 0.431137 − 0.906221I
a = 0.525034 + 0.591227I
b = 1.091530 + 0.895741I
2.53235 − 2.66750I 2.71797 + 4.12988I
u = −0.625821 + 0.774116I
a = −0.390768 + 0.069603I
b = −0.857456 − 0.155023I
0.47651 − 1.59156I 3.09179 + 1.37031I
u = −0.625821 − 0.774116I
a = −0.390768 − 0.069603I
b = −0.857456 + 0.155023I
0.47651 + 1.59156I 3.09179 − 1.37031I
u = 0.350912 + 0.982744I
a = 0.724535 + 0.882894I
b = 0.008338 + 0.328720I
2.43763 + 0.44354I 2.62000 − 0.55350I
u = 0.350912 − 0.982744I
a = 0.724535 − 0.882894I
b = 0.008338 − 0.328720I
2.43763 − 0.44354I 2.62000 + 0.55350I
u = −0.831316 + 0.756902I
a = 0.029481 + 0.555177I
b = −0.008560 − 0.211277I
0.42794 − 3.89764I 7.7924 + 12.0278I
u = −0.831316 − 0.756902I
a = 0.029481 − 0.555177I
b = −0.008560 + 0.211277I
0.42794 + 3.89764I 7.7924 − 12.0278I
u = −0.849486
a = −1.21471
b = 0.371246
−6.96773 −11.6510
u = 0.070449 + 1.211910I
a = −1.36431 + 0.84655I
b = −3.06517 + 1.22645I
−1.15999 + 6.13130I 1.88516 − 7.10392I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.070449 − 1.211910I
a = −1.36431 − 0.84655I
b = −3.06517 − 1.22645I
−1.15999 − 6.13130I 1.88516 + 7.10392I
u = 0.198476 + 1.288260I
a = 0.69883 − 1.53351I
b = 1.74962 − 2.80678I
1.04031 + 2.89888I 6.59624 + 1.23523I
u = 0.198476 − 1.288260I
a = 0.69883 + 1.53351I
b = 1.74962 + 2.80678I
1.04031 − 2.89888I 6.59624 − 1.23523I
u = −0.189235 + 1.318580I
a = −0.0005167 − 0.0414970I
b = −0.079356 − 0.419932I
−4.53291 − 3.09962I −7.39566 + 5.41041I
u = −0.189235 − 1.318580I
a = −0.0005167 + 0.0414970I
b = −0.079356 + 0.419932I
−4.53291 + 3.09962I −7.39566 − 5.41041I
u = 0.062411 + 0.616662I
a = −2.28838 − 0.79006I
b = 0.168163 − 0.402814I
1.04818 − 5.52113I −2.64456 + 5.76748I
u = 0.062411 − 0.616662I
a = −2.28838 + 0.79006I
b = 0.168163 + 0.402814I
1.04818 + 5.52113I −2.64456 − 5.76748I
u = 0.615645
a = −3.00112
b = −0.255912
4.97554 13.3710
u = −0.022819 + 1.411910I
a = −0.31168 − 3.49706I
b = −0.29189 − 3.84914I
−4.95148 + 0.31707I −23.6637 + 3.8963I
u = −0.022819 − 1.411910I
a = −0.31168 + 3.49706I
b = −0.29189 + 3.84914I
−4.95148 − 0.31707I −23.6637 − 3.8963I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.35018 + 1.43296I
a = 0.431703 + 1.069810I
b = 0.34799 + 2.11293I
−11.70470 − 4.38629I −7.27702 + 0.I
u = −0.35018 − 1.43296I
a = 0.431703 − 1.069810I
b = 0.34799 − 2.11293I
−11.70470 + 4.38629I −7.27702 + 0.I
u = −0.20834 + 1.58437I
a = 0.456806 − 1.211770I
b = 1.13875 − 2.06521I
−7.51272 − 7.42768I −5.3367 + 13.3175I
u = −0.20834 − 1.58437I
a = 0.456806 + 1.211770I
b = 1.13875 + 2.06521I
−7.51272 + 7.42768I −5.3367 − 13.3175I
u = −0.268753 + 0.037149I
a = 1.59717 + 0.91988I
b = −0.259630 + 0.919058I
−0.134077 − 1.006200I 5.75427 − 0.30798I
u = −0.268753 − 0.037149I
a = 1.59717 − 0.91988I
b = −0.259630 − 0.919058I
−0.134077 + 1.006200I 5.75427 + 0.30798I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
26
− 9u
25
+ ··· + 20u − 1)
· (u
112
− 4u
111
+ ··· − 7935981u + 3893033)
c
2
(u
26
+ 6u
25
+ ··· + 6u + 1)(u
112
+ u
111
+ ··· − 5u − 1)
c
3
(u
26
+ u
24
+ ··· − 4u + 1)(u
112
− u
111
+ ··· − 101643u + 105943)
c
4
(u
26
+ u
24
+ ··· − 2u + 1)(u
112
− u
111
+ ··· + 21029u + 4019)
c
5
(u
26
− 6u
25
+ ··· − 6u + 1)(u
112
+ u
111
+ ··· − 5u − 1)
c
6
(u
26
+ 2u
25
+ ··· + u + 1)(u
112
+ u
111
+ ··· − 2376u − 363)
c
7
(u
26
+ u
24
+ ··· + 4u + 1)(u
112
− u
111
+ ··· − 101643u + 105943)
c
8
, c
9
(u
26
+ 3u
25
+ ··· − 8u − 1)(u
112
+ 2u
111
+ ··· + 23u + 1)
c
10
(u
26
+ u
24
+ ··· + 2u + 1)(u
112
− u
111
+ ··· + 21029u + 4019)
c
11
(u
26
− 2u
25
+ ··· − u + 1)(u
112
+ u
111
+ ··· − 2376u − 363)
c
12
(u
26
− 3u
25
+ ··· + 8u − 1)(u
112
+ 2u
111
+ ··· + 23u + 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
26
− y
25
+ ··· − 28y + 1)
· (y
112
− 44y
111
+ ··· − 268247760995493y + 15155705939089)
c
2
, c
5
(y
26
− 14y
25
+ ··· − 14y + 1)(y
112
− 61y
111
+ ··· − 91y + 1)
c
3
, c
7
(y
26
+ 2y
25
+ ··· − 2y + 1)
· (y
112
− 65y
111
+ ··· − 130189064955y + 11223919249)
c
4
, c
10
(y
26
+ 2y
25
+ ··· − 4y + 1)
· (y
112
− 45y
111
+ ··· − 949754237y + 16152361)
c
6
, c
11
(y
26
− 20y
25
+ ··· − 23y + 1)
· (y
112
− 63y
111
+ ··· − 4022040y + 131769)
c
8
, c
9
, c
12
(y
26
+ 25y
25
+ ··· − 16y + 1)(y
112
+ 110y
111
+ ··· − 77y + 1)
24
