12a
0404
(K12a
0404
)
A knot diagram
1
Linearized knot diagam
3 6 9 11 7 2 12 4 1 8 5 10
Solving Sequence
4,11 5,8
9 12 3 7 6 2 10 1
c
4
c
8
c
11
c
3
c
7
c
5
c
2
c
10
c
12
c
1
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h2.48423 × 10
353
u
108
− 1.06966 × 10
353
u
107
+ ··· + 3.86962 × 10
353
b + 5.71739 × 10
352
,
− 1.59044 × 10
353
u
108
+ 2.79797 × 10
352
u
107
+ ··· + 3.86962 × 10
353
a + 3.48502 × 10
353
,
u
109
+ u
108
+ ··· + 2u − 1i
I
u
2
= h−37327u
29
+ 401711u
28
+ ··· + 361945b − 312854,
− 496929u
29
+ 205552u
28
+ ··· + 361945a − 554238, u
30
− 11u
28
+ ··· − 11u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 139 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
= h2.48 × 10
353
u
108
− 1.07 × 10
353
u
107
+ · · · + 3.87 × 10
353
b + 5.72 ×
10
352
, −1.59 × 10
353
u
108
+ 2.80 × 10
352
u
107
+ · · · + 3.87 × 10
353
a + 3.49 ×
10
353
, u
109
+ u
108
+ · · · + 2u − 1i
(i) Arc colorings
a
4
=
1
0
a
11
=
0
u
a
5
=
1
−u
2
a
8
=
0.411008u
108
− 0.0723061u
107
+ ··· + 70.2222u − 0.900610
−0.641982u
108
+ 0.276426u
107
+ ··· − 17.2430u − 0.147751
a
9
=
1.05299u
108
− 0.348732u
107
+ ··· + 87.4652u − 0.752859
−0.641982u
108
+ 0.276426u
107
+ ··· − 17.2430u − 0.147751
a
12
=
u
−u
3
+ u
a
3
=
−0.146173u
108
+ 0.0919442u
107
+ ··· − 91.2533u − 10.0700
0.193937u
108
− 0.261341u
107
+ ··· + 2.37985u + 0.482388
a
7
=
1.12746u
108
− 0.401791u
107
+ ··· + 72.3535u − 1.66265
−1.13976u
108
+ 0.503579u
107
+ ··· − 17.9201u + 0.136140
a
6
=
−0.0937440u
108
+ 0.313213u
107
+ ··· + 80.1708u + 14.1735
0.553987u
108
− 0.438620u
107
+ ··· + 0.869280u − 1.66470
a
2
=
0.929411u
108
− 0.488793u
107
+ ··· − 120.689u − 2.98918
−1.13520u
108
+ 0.440053u
107
+ ··· + 19.8376u + 2.19256
a
10
=
−0.710297u
108
− 1.39387u
107
+ ··· + 67.3057u + 1.35505
−0.217162u
108
+ 0.149794u
107
+ ··· − 9.68315u + 0.0477646
a
1
=
−0.590162u
108
− 0.0598138u
107
+ ··· + 71.6155u + 3.50080
0.363252u
108
− 0.00278651u
107
+ ··· − 16.4705u − 0.204961
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.363790u
108
+ 0.673083u
107
+ ··· + 18.1091u + 10.0328
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
109
+ 31u
108
+ ··· − 58u − 1
c
2
, c
6
u
109
− 3u
108
+ ··· − 29u
2
− 1
c
3
, c
8
u
109
+ u
108
+ ··· + 36101u − 3718
c
4
, c
11
u
109
+ u
108
+ ··· + 2u − 1
c
7
u
109
− 3u
108
+ ··· − 1747923u − 732778
c
9
, c
12
u
109
− 5u
108
+ ··· + 48168u − 4657
c
10
u
109
+ 13u
108
+ ··· + 7934796u + 816091
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
109
+ 107y
108
+ ··· + 486y −1
c
2
, c
6
y
109
+ 31y
108
+ ··· − 58y −1
c
3
, c
8
y
109
+ 109y
108
+ ··· − 49943387y −13823524
c
4
, c
11
y
109
− 87y
108
+ ··· − 130y −1
c
7
y
109
− 55y
108
+ ··· + 33067800692205y −536963597284
c
9
, c
12
y
109
+ 91y
108
+ ··· − 420320624y −21687649
c
10
y
109
− 55y
108
+ ··· + 28553913646086y −666004520281
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.033343 + 0.996771I
a = 0.537737 − 1.072490I
b = 0.204491 − 1.283920I
3.09309 + 6.33794I 0
u = 0.033343 − 0.996771I
a = 0.537737 + 1.072490I
b = 0.204491 + 1.283920I
3.09309 − 6.33794I 0
u = −0.083018 + 0.979645I
a = 0.065424 − 0.380814I
b = 0.0798719 + 0.0877287I
0.93792 + 2.65570I 0
u = −0.083018 − 0.979645I
a = 0.065424 + 0.380814I
b = 0.0798719 − 0.0877287I
0.93792 − 2.65570I 0
u = −1.025090 + 0.268911I
a = −0.689799 − 0.014786I
b = −0.757790 − 0.052253I
−0.81682 − 2.68878I 0
u = −1.025090 − 0.268911I
a = −0.689799 + 0.014786I
b = −0.757790 + 0.052253I
−0.81682 + 2.68878I 0
u = −1.078590 + 0.164066I
a = −0.822935 + 0.208584I
b = −0.34332 − 1.80976I
8.02899 − 0.83663I 0
u = −1.078590 − 0.164066I
a = −0.822935 − 0.208584I
b = −0.34332 + 1.80976I
8.02899 + 0.83663I 0
u = 1.110560 + 0.019710I
a = −1.223520 + 0.577324I
b = −0.412338 + 0.247413I
1.93011 − 0.33723I 0
u = 1.110560 − 0.019710I
a = −1.223520 − 0.577324I
b = −0.412338 − 0.247413I
1.93011 + 0.33723I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.505090 + 0.716391I
a = 0.124304 + 0.701939I
b = 0.368446 + 0.667258I
0.21516 + 1.88326I 0
u = 0.505090 − 0.716391I
a = 0.124304 − 0.701939I
b = 0.368446 − 0.667258I
0.21516 − 1.88326I 0
u = 1.15469
a = 0.655493
b = 0.654397
2.20801 0
u = 0.037929 + 0.843453I
a = 0.952314 + 0.964303I
b = 1.090140 + 0.131358I
5.68628 − 5.95291I 0
u = 0.037929 − 0.843453I
a = 0.952314 − 0.964303I
b = 1.090140 − 0.131358I
5.68628 + 5.95291I 0
u = 0.042878 + 0.842993I
a = −1.010680 + 0.886733I
b = −1.076100 + 0.241905I
5.77083 − 0.16968I 0
u = 0.042878 − 0.842993I
a = −1.010680 − 0.886733I
b = −1.076100 − 0.241905I
5.77083 + 0.16968I 0
u = −0.758819 + 0.364574I
a = 0.611325 − 1.207200I
b = 0.314195 + 0.698740I
0.30581 − 4.84419I 0
u = −0.758819 − 0.364574I
a = 0.611325 + 1.207200I
b = 0.314195 − 0.698740I
0.30581 + 4.84419I 0
u = 1.148220 + 0.202593I
a = −1.30837 − 0.58788I
b = −0.394987 + 1.105200I
2.16765 + 1.28585I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.148220 − 0.202593I
a = −1.30837 + 0.58788I
b = −0.394987 − 1.105200I
2.16765 − 1.28585I 0
u = −0.428650 + 0.692382I
a = 0.536353 − 0.512889I
b = 0.347468 + 0.369372I
−2.69258 − 1.01062I 0
u = −0.428650 − 0.692382I
a = 0.536353 + 0.512889I
b = 0.347468 − 0.369372I
−2.69258 + 1.01062I 0
u = 1.175660 + 0.243208I
a = −0.950702 − 0.275405I
b = −1.138810 + 0.131806I
2.39738 + 6.26878I 0
u = 1.175660 − 0.243208I
a = −0.950702 + 0.275405I
b = −1.138810 − 0.131806I
2.39738 − 6.26878I 0
u = −0.195336 + 0.739888I
a = −1.02500 − 1.16001I
b = −0.05710 − 1.41322I
6.17025 − 2.54367I 6.56336 + 0.I
u = −0.195336 − 0.739888I
a = −1.02500 + 1.16001I
b = −0.05710 + 1.41322I
6.17025 + 2.54367I 6.56336 + 0.I
u = −1.225900 + 0.193652I
a = −2.08131 + 0.91182I
b = −0.101223 − 1.307610I
5.52271 − 1.93932I 0
u = −1.225900 − 0.193652I
a = −2.08131 − 0.91182I
b = −0.101223 + 1.307610I
5.52271 + 1.93932I 0
u = 0.197394 + 1.232220I
a = −0.005870 + 0.582501I
b = 0.164637 + 1.044850I
−0.911835 − 1.039600I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.197394 − 1.232220I
a = −0.005870 − 0.582501I
b = 0.164637 − 1.044850I
−0.911835 + 1.039600I 0
u = −1.259570 + 0.031187I
a = −0.602918 − 0.251555I
b = −0.82128 + 1.99230I
13.75470 − 0.11442I 0
u = −1.259570 − 0.031187I
a = −0.602918 + 0.251555I
b = −0.82128 − 1.99230I
13.75470 + 0.11442I 0
u = −0.283691 + 1.243630I
a = −0.566798 − 0.739563I
b = −0.37226 − 1.48415I
11.42350 − 4.92170I 0
u = −0.283691 − 1.243630I
a = −0.566798 + 0.739563I
b = −0.37226 + 1.48415I
11.42350 + 4.92170I 0
u = −1.154790 + 0.559328I
a = −0.805570 − 0.091463I
b = −0.12706 − 1.56388I
8.55093 − 2.12626I 0
u = −1.154790 − 0.559328I
a = −0.805570 + 0.091463I
b = −0.12706 + 1.56388I
8.55093 + 2.12626I 0
u = 1.287480 + 0.042107I
a = −0.703728 + 0.877715I
b = −0.25001 − 1.46892I
9.38679 + 3.46532I 0
u = 1.287480 − 0.042107I
a = −0.703728 − 0.877715I
b = −0.25001 + 1.46892I
9.38679 − 3.46532I 0
u = 1.295770 + 0.020833I
a = 0.589598 − 0.226366I
b = 0.90012 + 1.92095I
13.5553 − 6.0485I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.295770 − 0.020833I
a = 0.589598 + 0.226366I
b = 0.90012 − 1.92095I
13.5553 + 6.0485I 0
u = 0.221763 + 1.286900I
a = 0.516905 − 0.750170I
b = 0.41853 − 1.44734I
10.8150 + 11.2570I 0
u = 0.221763 − 1.286900I
a = 0.516905 + 0.750170I
b = 0.41853 + 1.44734I
10.8150 − 11.2570I 0
u = −1.305220 + 0.050689I
a = −0.90955 − 1.63853I
b = 0.192471 + 1.340410I
13.7099 − 7.1192I 0
u = −1.305220 − 0.050689I
a = −0.90955 + 1.63853I
b = 0.192471 − 1.340410I
13.7099 + 7.1192I 0
u = −1.301570 + 0.120960I
a = 0.918003 − 0.450088I
b = 0.567160 + 0.449045I
4.98023 − 3.29980I 0
u = −1.301570 − 0.120960I
a = 0.918003 + 0.450088I
b = 0.567160 − 0.449045I
4.98023 + 3.29980I 0
u = 0.687185 + 0.047766I
a = −0.69676 − 1.61994I
b = −0.009606 + 0.721615I
0.429338 + 0.375073I 7.10528 − 0.69344I
u = 0.687185 − 0.047766I
a = −0.69676 + 1.61994I
b = −0.009606 − 0.721615I
0.429338 − 0.375073I 7.10528 + 0.69344I
u = −1.318050 + 0.000872I
a = 0.734081 − 0.802225I
b = 0.35263 + 1.46855I
9.84520 − 2.81978I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.318050 − 0.000872I
a = 0.734081 + 0.802225I
b = 0.35263 − 1.46855I
9.84520 + 2.81978I 0
u = 1.272920 + 0.365794I
a = −0.791956 − 0.247182I
b = −1.60507 + 0.49517I
9.55123 + 10.28570I 0
u = 1.272920 − 0.365794I
a = −0.791956 + 0.247182I
b = −1.60507 − 0.49517I
9.55123 − 10.28570I 0
u = 1.332820 + 0.017505I
a = 1.15883 + 1.44977I
b = −0.120054 − 1.392250I
14.9069 − 0.1064I 0
u = 1.332820 − 0.017505I
a = 1.15883 − 1.44977I
b = −0.120054 + 1.392250I
14.9069 + 0.1064I 0
u = 1.323580 + 0.172213I
a = 0.661767 + 0.112665I
b = 0.61850 − 1.51837I
7.01156 + 3.08960I 0
u = 1.323580 − 0.172213I
a = 0.661767 − 0.112665I
b = 0.61850 + 1.51837I
7.01156 − 3.08960I 0
u = −1.297430 + 0.346997I
a = 0.785264 − 0.275349I
b = 1.53919 + 0.59999I
9.96581 − 4.06472I 0
u = −1.297430 − 0.346997I
a = 0.785264 + 0.275349I
b = 1.53919 − 0.59999I
9.96581 + 4.06472I 0
u = −1.353370 + 0.187197I
a = 0.871566 − 0.465510I
b = 0.624480 + 0.939046I
5.09583 − 3.48072I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.353370 − 0.187197I
a = 0.871566 + 0.465510I
b = 0.624480 − 0.939046I
5.09583 + 3.48072I 0
u = −1.312120 + 0.392536I
a = −0.648864 − 0.075030I
b = −0.678566 − 0.234297I
5.03185 − 7.47638I 0
u = −1.312120 − 0.392536I
a = −0.648864 + 0.075030I
b = −0.678566 + 0.234297I
5.03185 + 7.47638I 0
u = 1.304430 + 0.418251I
a = −0.578724 + 0.805108I
b = 0.442765 + 0.126215I
9.65287 + 4.78783I 0
u = 1.304430 − 0.418251I
a = −0.578724 − 0.805108I
b = 0.442765 − 0.126215I
9.65287 − 4.78783I 0
u = −0.496841 + 0.386055I
a = −0.592985 + 0.501829I
b = −0.522333 + 0.458469I
−0.04392 + 1.98184I 0.61769 − 3.14501I
u = −0.496841 − 0.386055I
a = −0.592985 − 0.501829I
b = −0.522333 − 0.458469I
−0.04392 − 1.98184I 0.61769 + 3.14501I
u = 1.339200 + 0.313327I
a = 0.637434 − 0.056889I
b = 0.635736 − 0.202310I
5.75557 + 1.65249I 0
u = 1.339200 − 0.313327I
a = 0.637434 + 0.056889I
b = 0.635736 + 0.202310I
5.75557 − 1.65249I 0
u = 1.347580 + 0.302840I
a = 1.50454 + 0.53382I
b = 0.21920 − 1.45097I
10.98340 + 6.29629I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.347580 − 0.302840I
a = 1.50454 − 0.53382I
b = 0.21920 + 1.45097I
10.98340 − 6.29629I 0
u = −1.357930 + 0.334024I
a = 0.652655 + 0.746828I
b = −0.373545 − 0.001179I
10.15360 + 1.63062I 0
u = −1.357930 − 0.334024I
a = 0.652655 − 0.746828I
b = −0.373545 + 0.001179I
10.15360 − 1.63062I 0
u = −1.331960 + 0.428225I
a = −1.40363 + 0.22688I
b = −0.37501 − 1.41663I
7.41876 − 11.35260I 0
u = −1.331960 − 0.428225I
a = −1.40363 − 0.22688I
b = −0.37501 + 1.41663I
7.41876 + 11.35260I 0
u = −1.39228 + 0.26483I
a = 0.921056 − 0.396910I
b = 0.348301 + 1.057260I
5.26861 − 3.62688I 0
u = −1.39228 − 0.26483I
a = 0.921056 + 0.396910I
b = 0.348301 − 1.057260I
5.26861 + 3.62688I 0
u = 1.33799 + 0.47310I
a = −0.981764 − 0.229399I
b = −0.409488 + 1.253750I
3.17088 + 6.91012I 0
u = 1.33799 − 0.47310I
a = −0.981764 + 0.229399I
b = −0.409488 − 1.253750I
3.17088 − 6.91012I 0
u = −0.156047 + 0.527708I
a = 0.51486 − 2.31342I
b = −0.121340 − 1.245320I
2.28031 − 0.67960I 0.732308 + 1.033375I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.156047 − 0.527708I
a = 0.51486 + 2.31342I
b = −0.121340 + 1.245320I
2.28031 + 0.67960I 0.732308 − 1.033375I
u = 1.42070 + 0.44128I
a = 0.675293 − 0.031307I
b = 0.182427 − 1.301930I
7.51628 − 0.92397I 0
u = 1.42070 − 0.44128I
a = 0.675293 + 0.031307I
b = 0.182427 + 1.301930I
7.51628 + 0.92397I 0
u = 0.208039 + 0.454594I
a = 1.08747 + 1.87218I
b = 0.584768 − 0.161098I
−0.60236 − 3.45270I −5.63234 + 0.62653I
u = 0.208039 − 0.454594I
a = 1.08747 − 1.87218I
b = 0.584768 + 0.161098I
−0.60236 + 3.45270I −5.63234 − 0.62653I
u = 0.216800 + 0.434363I
a = −1.54790 + 0.41561I
b = −0.401847 + 0.453641I
0.215860 + 1.175010I 1.37065 − 5.42290I
u = 0.216800 − 0.434363I
a = −1.54790 − 0.41561I
b = −0.401847 − 0.453641I
0.215860 − 1.175010I 1.37065 + 5.42290I
u = 0.190182 + 0.412240I
a = −1.101970 + 0.671880I
b = −0.278370 + 0.608154I
0.228255 + 1.074300I 3.62639 − 6.00527I
u = 0.190182 − 0.412240I
a = −1.101970 − 0.671880I
b = −0.278370 − 0.608154I
0.228255 − 1.074300I 3.62639 + 6.00527I
u = 1.49310 + 0.46832I
a = 1.118940 + 0.319323I
b = 0.45876 − 1.64190I
17.1007 + 10.8388I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.49310 − 0.46832I
a = 1.118940 − 0.319323I
b = 0.45876 + 1.64190I
17.1007 − 10.8388I 0
u = −1.49250 + 0.50320I
a = −1.096740 + 0.277451I
b = −0.51382 − 1.63764I
16.2918 − 17.4531I 0
u = −1.49250 − 0.50320I
a = −1.096740 − 0.277451I
b = −0.51382 + 1.63764I
16.2918 + 17.4531I 0
u = 0.03504 + 1.58628I
a = −0.003197 + 0.553019I
b = 0.032749 + 1.362220I
5.27490 − 3.08478I 0
u = 0.03504 − 1.58628I
a = −0.003197 − 0.553019I
b = 0.032749 − 1.362220I
5.27490 + 3.08478I 0
u = 1.58027 + 0.56021I
a = −0.826465 − 0.199655I
b = −0.22638 + 1.45787I
10.7105 + 10.6369I 0
u = 1.58027 − 0.56021I
a = −0.826465 + 0.199655I
b = −0.22638 − 1.45787I
10.7105 − 10.6369I 0
u = −1.59854 + 0.51261I
a = 0.819493 − 0.223596I
b = 0.17679 + 1.41929I
11.08100 − 4.33312I 0
u = −1.59854 − 0.51261I
a = 0.819493 + 0.223596I
b = 0.17679 − 1.41929I
11.08100 + 4.33312I 0
u = −1.51570 + 0.76093I
a = −0.637864 − 0.136249I
b = 0.15497 − 1.44628I
15.0392 − 2.5830I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.51570 − 0.76093I
a = −0.637864 + 0.136249I
b = 0.15497 + 1.44628I
15.0392 + 2.5830I 0
u = 1.56175 + 0.72046I
a = 0.628541 − 0.121558I
b = −0.173454 − 1.386530I
14.8383 − 3.7197I 0
u = 1.56175 − 0.72046I
a = 0.628541 + 0.121558I
b = −0.173454 + 1.386530I
14.8383 + 3.7197I 0
u = −0.1289980 + 0.0267713I
a = −5.29950 − 6.43089I
b = 0.46231 + 1.53706I
10.19370 − 0.18596I 5.44644 − 2.57282I
u = −0.1289980 − 0.0267713I
a = −5.29950 + 6.43089I
b = 0.46231 − 1.53706I
10.19370 + 0.18596I 5.44644 + 2.57282I
u = 0.0180915 + 0.1161620I
a = −5.14164 − 7.85682I
b = −0.57239 + 1.44552I
9.47191 + 6.47564I 4.16937 − 2.00979I
u = 0.0180915 − 0.1161620I
a = −5.14164 + 7.85682I
b = −0.57239 − 1.44552I
9.47191 − 6.47564I 4.16937 + 2.00979I
u = 0.0489298 + 0.0721913I
a = −4.89478 + 7.41084I
b = −0.074746 − 1.301850I
5.42995 − 2.98444I 9.51308 + 2.68883I
u = 0.0489298 − 0.0721913I
a = −4.89478 − 7.41084I
b = −0.074746 + 1.301850I
5.42995 + 2.98444I 9.51308 − 2.68883I
15
II.
I
u
2
= h−3.73 × 10
4
u
29
+ 4.02 × 10
5
u
28
+ · · · + 3.62 × 10
5
b − 3.13 × 10
5
, −4.97 ×
10
5
u
29
+2.06×10
5
u
28
+· · ·+3.62×10
5
a−5.54×10
5
, u
30
−11u
28
+· · ·−11u
2
+1i
(i) Arc colorings
a
4
=
1
0
a
11
=
0
u
a
5
=
1
−u
2
a
8
=
1.37294u
29
− 0.567909u
28
+ ··· − 9.39602u + 1.53128
0.103129u
29
− 1.10987u
28
+ ··· + 0.447712u + 0.864369
a
9
=
1.26981u
29
+ 0.541958u
28
+ ··· − 9.84373u + 0.666908
0.103129u
29
− 1.10987u
28
+ ··· + 0.447712u + 0.864369
a
12
=
u
−u
3
+ u
a
3
=
0.933990u
29
+ 0.500093u
28
+ ··· − 0.245499u + 1.35488
−0.933990u
29
+ 0.499907u
28
+ ··· + 0.245499u − 0.354877
a
7
=
1.01806u
29
+ 0.366080u
28
+ ··· − 9.84518u + 1.28578
0.248159u
29
− 1.66208u
28
+ ··· − 0.356325u + 1.55286
a
6
=
2.29964u
29
+ 0.212643u
28
+ ··· − 3.66572u − 0.250218
−1.05779u
29
− 0.785705u
28
+ ··· + 0.384779u + 0.815947
a
2
=
−0.385053u
29
− 0.849787u
28
+ ··· + 8.59657u + 1.06908
−0.418984u
29
+ 1.53828u
28
+ ··· + 0.425054u − 1.41358
a
10
=
−0.627059u
29
− 0.567909u
28
+ ··· + 3.60398u + 1.53128
u
29
− 10u
27
+ ··· + 11u
3
+ u
a
1
=
−0.0593654u
29
− 1.47583u
28
+ ··· + 10.4554u − 0.0554477
−0.923781u
29
+ 0.813408u
28
+ ··· + 0.925229u − 1.43228
(ii) Obstruction class = 1
(iii) Cusp Shapes =
48715
72389
u
29
−
61106
72389
u
28
+ ··· +
932835
72389
u +
280681
72389
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
30
− 12u
29
+ ··· − 22u + 1
c
2
u
30
− 2u
29
+ ··· − 2u + 1
c
3
u
30
+ 17u
28
+ ··· − 6u + 1
c
4
u
30
− 11u
28
+ ··· − 11u
2
+ 1
c
6
u
30
+ 2u
29
+ ··· + 2u + 1
c
7
u
30
− 2u
29
+ ··· + 10u + 5
c
8
u
30
+ 17u
28
+ ··· + 6u + 1
c
9
u
30
− 4u
29
+ ··· − 4u + 1
c
10
u
30
− 6u
29
+ ··· − 10u + 1
c
11
u
30
− 11u
28
+ ··· − 11u
2
+ 1
c
12
u
30
+ 4u
29
+ ··· + 4u + 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
30
+ 24y
29
+ ··· − 30y + 1
c
2
, c
6
y
30
+ 12y
29
+ ··· + 22y + 1
c
3
, c
8
y
30
+ 34y
29
+ ··· + 22y + 1
c
4
, c
11
y
30
− 22y
29
+ ··· − 22y + 1
c
7
y
30
− 10y
29
+ ··· − 20y + 25
c
9
, c
12
y
30
+ 20y
29
+ ··· + 12y + 1
c
10
y
30
− 14y
29
+ ··· − 26y + 1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.937377 + 0.378504I
a = 0.596422 − 0.700628I
b = 0.69890 − 1.25340I
10.35770 + 7.56618I 8.18111 − 6.28850I
u = 0.937377 − 0.378504I
a = 0.596422 + 0.700628I
b = 0.69890 + 1.25340I
10.35770 − 7.56618I 8.18111 + 6.28850I
u = −0.012777 + 0.988110I
a = −0.079898 + 0.545575I
b = 0.144558 + 0.906181I
−1.271860 − 0.590278I −3.88310 − 2.13566I
u = −0.012777 − 0.988110I
a = −0.079898 − 0.545575I
b = 0.144558 − 0.906181I
−1.271860 + 0.590278I −3.88310 + 2.13566I
u = 0.007203 + 1.025820I
a = −0.017357 + 0.376861I
b = 0.050131 + 1.290590I
4.17805 − 3.01110I 1.19759 + 2.58313I
u = 0.007203 − 1.025820I
a = −0.017357 − 0.376861I
b = 0.050131 − 1.290590I
4.17805 + 3.01110I 1.19759 − 2.58313I
u = −1.001740 + 0.383397I
a = −0.668023 − 0.474125I
b = −0.65485 − 1.41833I
11.14730 − 1.41554I 9.35828 + 1.13006I
u = −1.001740 − 0.383397I
a = −0.668023 + 0.474125I
b = −0.65485 + 1.41833I
11.14730 + 1.41554I 9.35828 − 1.13006I
u = 1.070700 + 0.196551I
a = 1.70249 + 0.20849I
b = 0.172363 − 1.330800I
4.78166 + 0.87366I 4.53227 + 0.51966I
u = 1.070700 − 0.196551I
a = 1.70249 − 0.20849I
b = 0.172363 + 1.330800I
4.78166 − 0.87366I 4.53227 − 0.51966I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.038627 + 1.122990I
a = −0.005639 + 0.656186I
b = 0.031641 + 0.673171I
1.55006 + 2.60292I 9.22285 − 2.96153I
u = −0.038627 − 1.122990I
a = −0.005639 − 0.656186I
b = 0.031641 − 0.673171I
1.55006 − 2.60292I 9.22285 + 2.96153I
u = −1.154390 + 0.325602I
a = −0.728173 + 0.090788I
b = −0.29147 − 1.71100I
7.87339 − 1.51827I 3.28090 + 3.91020I
u = −1.154390 − 0.325602I
a = −0.728173 − 0.090788I
b = −0.29147 + 1.71100I
7.87339 + 1.51827I 3.28090 − 3.91020I
u = −1.218080 + 0.167991I
a = 1.45322 − 0.75103I
b = 0.353391 + 0.933664I
2.88759 − 1.90731I 6.27017 + 4.24773I
u = −1.218080 − 0.167991I
a = 1.45322 + 0.75103I
b = 0.353391 − 0.933664I
2.88759 + 1.90731I 6.27017 − 4.24773I
u = −1.287340 + 0.190883I
a = −0.368153 + 0.655833I
b = 0.26439 − 1.65828I
12.56890 − 1.34907I 7.99639 + 2.47044I
u = −1.287340 − 0.190883I
a = −0.368153 − 0.655833I
b = 0.26439 + 1.65828I
12.56890 + 1.34907I 7.99639 − 2.47044I
u = 1.313360 + 0.142212I
a = 0.186981 + 0.756037I
b = −0.39046 − 1.56182I
12.21110 − 5.05134I 7.35134 + 2.72597I
u = 1.313360 − 0.142212I
a = 0.186981 − 0.756037I
b = −0.39046 + 1.56182I
12.21110 + 5.05134I 7.35134 − 2.72597I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.385810 + 0.139493I
a = −0.743687 − 0.518764I
b = −0.594038 + 0.955183I
4.82666 + 3.98570I 0.61584 − 11.21023I
u = 1.385810 − 0.139493I
a = −0.743687 + 0.518764I
b = −0.594038 − 0.955183I
4.82666 − 3.98570I 0.61584 + 11.21023I
u = −1.353920 + 0.376709I
a = 0.964201 − 0.014050I
b = 0.461895 + 0.703531I
6.16054 − 7.65753I 7.82628 + 6.57930I
u = −1.353920 − 0.376709I
a = 0.964201 + 0.014050I
b = 0.461895 − 0.703531I
6.16054 + 7.65753I 7.82628 − 6.57930I
u = 1.41229 + 0.31290I
a = −0.863963 − 0.138559I
b = −0.537422 + 0.731556I
6.86973 + 2.32439I 8.28392 − 1.23009I
u = 1.41229 − 0.31290I
a = −0.863963 + 0.138559I
b = −0.537422 − 0.731556I
6.86973 − 2.32439I 8.28392 + 1.23009I
u = −0.302318 + 0.155723I
a = 0.36127 + 3.28782I
b = −0.002854 + 0.322444I
−0.292528 + 0.166662I −4.05000 + 1.84872I
u = −0.302318 − 0.155723I
a = 0.36127 − 3.28782I
b = −0.002854 − 0.322444I
−0.292528 − 0.166662I −4.05000 − 1.84872I
u = 0.242470 + 0.184423I
a = −2.78969 − 1.53626I
b = 0.293812 − 0.128373I
0.04334 + 3.74824I 4.31615 − 5.53363I
u = 0.242470 − 0.184423I
a = −2.78969 + 1.53626I
b = 0.293812 + 0.128373I
0.04334 − 3.74824I 4.31615 + 5.53363I
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
(u
30
− 12u
29
+ ··· − 22u + 1)(u
109
+ 31u
108
+ ··· − 58u − 1)
c
2
(u
30
− 2u
29
+ ··· − 2u + 1)(u
109
− 3u
108
+ ··· − 29u
2
− 1)
c
3
(u
30
+ 17u
28
+ ··· − 6u + 1)(u
109
+ u
108
+ ··· + 36101u − 3718)
c
4
(u
30
− 11u
28
+ ··· − 11u
2
+ 1)(u
109
+ u
108
+ ··· + 2u − 1)
c
6
(u
30
+ 2u
29
+ ··· + 2u + 1)(u
109
− 3u
108
+ ··· − 29u
2
− 1)
c
7
(u
30
− 2u
29
+ ··· + 10u + 5)(u
109
− 3u
108
+ ··· − 1747923u − 732778)
c
8
(u
30
+ 17u
28
+ ··· + 6u + 1)(u
109
+ u
108
+ ··· + 36101u − 3718)
c
9
(u
30
− 4u
29
+ ··· − 4u + 1)(u
109
− 5u
108
+ ··· + 48168u − 4657)
c
10
(u
30
− 6u
29
+ ··· − 10u + 1)
· (u
109
+ 13u
108
+ ··· + 7934796u + 816091)
c
11
(u
30
− 11u
28
+ ··· − 11u
2
+ 1)(u
109
+ u
108
+ ··· + 2u − 1)
c
12
(u
30
+ 4u
29
+ ··· + 4u + 1)(u
109
− 5u
108
+ ··· + 48168u − 4657)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
30
+ 24y
29
+ ··· − 30y + 1)(y
109
+ 107y
108
+ ··· + 486y −1)
c
2
, c
6
(y
30
+ 12y
29
+ ··· + 22y + 1)(y
109
+ 31y
108
+ ··· − 58y −1)
c
3
, c
8
(y
30
+ 34y
29
+ ··· + 22y + 1)
· (y
109
+ 109y
108
+ ··· − 49943387y −13823524)
c
4
, c
11
(y
30
− 22y
29
+ ··· − 22y + 1)(y
109
− 87y
108
+ ··· − 130y −1)
c
7
(y
30
− 10y
29
+ ··· − 20y + 25)
· (y
109
− 55y
108
+ ··· + 33067800692205y −536963597284)
c
9
, c
12
(y
30
+ 20y
29
+ ··· + 12y + 1)
· (y
109
+ 91y
108
+ ··· − 420320624y −21687649)
c
10
(y
30
− 14y
29
+ ··· − 26y + 1)
· (y
109
− 55y
108
+ ··· + 28553913646086y −666004520281)
23
