12a
0362
(K12a
0362
)
A knot diagram
1
Linearized knot diagam
3 6 9 8 11 2 10 1 12 5 7 4
Solving Sequence
2,6
3
7,11
12 1 5 10 8 4 9
c
2
c
6
c
11
c
1
c
5
c
10
c
7
c
4
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.09391 × 10
617
u
177
1.02067 × 10
617
u
176
+ ··· + 4.00936 × 10
618
b + 2.51829 × 10
617
,
4.73704 × 10
618
u
177
4.88897 × 10
618
u
176
+ ··· + 4.00936 × 10
618
a 1.44374 × 10
620
,
u
178
+ u
177
+ ··· + 27u + 1i
I
u
2
= h3.79704 × 10
21
u
47
3.10231 × 10
21
u
46
+ ··· + 8.55789 × 10
20
b 1.69805 × 10
21
,
7.58940 × 10
21
u
47
4.07284 × 10
21
u
46
+ ··· + 8.55789 × 10
20
a 7.94307 × 10
21
,
u
48
+ 12u
46
+ ··· 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 226 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
= h1.09 × 10
617
u
177
1.02 × 10
617
u
176
+ · · · + 4.01 × 10
618
b + 2.52 ×
10
617
, 4.74 × 10
618
u
177
4.89 × 10
618
u
176
+ · · · + 4.01 × 10
618
a 1.44 ×
10
620
, u
178
+ u
177
+ · · · + 27u + 1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
u
2
a
7
=
u
u
a
11
=
1.18150u
177
+ 1.21939u
176
+ ··· + 353.860u + 36.0091
0.0272838u
177
+ 0.0254572u
176
+ ··· + 5.11312u 0.0628102
a
12
=
1.21048u
177
+ 1.23059u
176
+ ··· + 354.668u + 35.9943
0.00169582u
177
+ 0.0366573u
176
+ ··· + 5.92101u 0.0776582
a
1
=
u
2
+ 1
u
4
a
5
=
1.04511u
177
+ 1.08550u
176
+ ··· + 356.876u + 46.2201
0.0459851u
177
+ 0.0553124u
176
+ ··· + 7.19847u 0.0711398
a
10
=
0.655716u
177
+ 0.546379u
176
+ ··· + 57.3868u 21.4494
0.0378264u
177
+ 0.0399914u
176
+ ··· 6.74129u 0.145199
a
8
=
4.84434u
177
+ 4.44597u
176
+ ··· + 1101.50u + 25.6482
0.0951260u
177
0.0570468u
176
+ ··· 25.9785u 1.52855
a
4
=
2.51573u
177
2.54974u
176
+ ··· 703.900u 59.4404
0.0301826u
177
+ 0.0231466u
176
+ ··· 6.39834u + 0.288022
a
9
=
4.74229u
177
+ 4.34896u
176
+ ··· + 1074.28u + 24.0664
0.0996690u
177
0.0662741u
176
+ ··· 26.1414u 1.53430
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.559391u
177
0.623730u
176
+ ··· 171.415u 9.44612
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
178
+ 65u
177
+ ··· 113u + 1
c
2
, c
6
u
178
u
177
+ ··· 27u + 1
c
3
u
178
+ 2u
177
+ ··· + 264305u 19304
c
4
u
178
+ 4u
177
+ ··· 1021989622123u + 820796062693
c
5
, c
10
u
178
+ u
177
+ ··· 587u 22
c
7
u
178
7u
177
+ ··· 12535015u + 2055653
c
8
u
178
5u
177
+ ··· 3889465u 320519
c
9
u
178
13u
177
+ ··· 562102508u 86410391
c
11
u
178
+ u
177
+ ··· 235642121u 12599233
c
12
u
178
+ 14u
177
+ ··· + 2u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
178
+ 105y
177
+ ··· + 63999y + 1
c
2
, c
6
y
178
+ 65y
177
+ ··· 113y + 1
c
3
y
178
36y
177
+ ··· 39240487121y + 372644416
c
4
y
178
+ 106y
177
+ ··· + 2.21 × 10
25
y + 6.74 × 10
23
c
5
, c
10
y
178
129y
177
+ ··· + 282299y + 484
c
7
y
178
71y
177
+ ··· 350661278205151y + 4225709256409
c
8
y
178
55y
177
+ ··· 10252412577651y + 102732429361
c
9
y
178
+ 55y
177
+ ··· 886494592097220180y + 7466755672772881
c
11
y
178
73y
177
+ ··· 10158224326040469y + 158740672188289
c
12
y
178
30y
177
+ ··· 146y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.859119 + 0.513450I
a = 0.878085 + 0.650808I
b = 0.079104 + 0.339433I
3.82339 3.46114I 0
u = 0.859119 0.513450I
a = 0.878085 0.650808I
b = 0.079104 0.339433I
3.82339 + 3.46114I 0
u = 0.769874 + 0.628691I
a = 1.062890 + 0.791096I
b = 0.139084 0.368892I
7.94922 4.21758I 0
u = 0.769874 0.628691I
a = 1.062890 0.791096I
b = 0.139084 + 0.368892I
7.94922 + 4.21758I 0
u = 0.828996 + 0.571670I
a = 0.222017 + 0.078368I
b = 0.898670 + 0.188255I
4.78436 3.83299I 0
u = 0.828996 0.571670I
a = 0.222017 0.078368I
b = 0.898670 0.188255I
4.78436 + 3.83299I 0
u = 0.757172 + 0.670466I
a = 0.596915 + 1.020860I
b = 0.670345 0.643006I
4.28018 5.54866I 0
u = 0.757172 0.670466I
a = 0.596915 1.020860I
b = 0.670345 + 0.643006I
4.28018 + 5.54866I 0
u = 0.107519 + 0.981553I
a = 0.72058 1.23183I
b = 1.17714 1.48945I
0.03298 + 5.95784I 0
u = 0.107519 0.981553I
a = 0.72058 + 1.23183I
b = 1.17714 + 1.48945I
0.03298 5.95784I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.756664 + 0.679092I
a = 0.870722 + 0.890242I
b = 0.293058 1.194150I
7.78438 + 0.31609I 0
u = 0.756664 0.679092I
a = 0.870722 0.890242I
b = 0.293058 + 1.194150I
7.78438 0.31609I 0
u = 0.594996 + 0.827585I
a = 0.401958 + 0.343841I
b = 0.460488 + 0.330134I
0.93989 2.36745I 0
u = 0.594996 0.827585I
a = 0.401958 0.343841I
b = 0.460488 0.330134I
0.93989 + 2.36745I 0
u = 0.253130 + 0.991188I
a = 0.867623 + 0.472107I
b = 1.69934 + 0.19609I
4.57167 + 0.21050I 0
u = 0.253130 0.991188I
a = 0.867623 0.472107I
b = 1.69934 0.19609I
4.57167 0.21050I 0
u = 0.131776 + 1.017800I
a = 0.494203 + 0.552245I
b = 1.161010 + 0.499242I
2.10237 1.80316I 0
u = 0.131776 1.017800I
a = 0.494203 0.552245I
b = 1.161010 0.499242I
2.10237 + 1.80316I 0
u = 0.775066 + 0.586338I
a = 1.116910 + 0.569471I
b = 1.122590 0.417819I
4.30200 + 4.87126I 0
u = 0.775066 0.586338I
a = 1.116910 0.569471I
b = 1.122590 + 0.417819I
4.30200 4.87126I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.753236 + 0.705012I
a = 0.83959 + 1.20984I
b = 0.337302 0.543381I
8.60996 + 5.04071I 0
u = 0.753236 0.705012I
a = 0.83959 1.20984I
b = 0.337302 + 0.543381I
8.60996 5.04071I 0
u = 0.798217 + 0.659087I
a = 1.069600 + 0.894830I
b = 0.426248 + 0.113939I
8.49438 + 4.02316I 0
u = 0.798217 0.659087I
a = 1.069600 0.894830I
b = 0.426248 0.113939I
8.49438 4.02316I 0
u = 0.685243 + 0.784827I
a = 0.832875 + 0.846927I
b = 3.09122 + 0.73027I
7.68740 + 4.28971I 0
u = 0.685243 0.784827I
a = 0.832875 0.846927I
b = 3.09122 0.73027I
7.68740 4.28971I 0
u = 0.637082 + 0.831471I
a = 0.229566 0.842409I
b = 0.273081 + 0.048990I
2.15438 1.12472I 0
u = 0.637082 0.831471I
a = 0.229566 + 0.842409I
b = 0.273081 0.048990I
2.15438 + 1.12472I 0
u = 0.784595 + 0.697307I
a = 0.73293 + 1.28579I
b = 0.0027880 0.0512937I
8.72690 5.63788I 0
u = 0.784595 0.697307I
a = 0.73293 1.28579I
b = 0.0027880 + 0.0512937I
8.72690 + 5.63788I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.710413 + 0.778956I
a = 0.730661 + 0.825186I
b = 3.22342 + 0.11499I
7.32413 + 4.13987I 0
u = 0.710413 0.778956I
a = 0.730661 0.825186I
b = 3.22342 0.11499I
7.32413 4.13987I 0
u = 0.654489 + 0.827755I
a = 0.066925 0.212319I
b = 0.471130 + 0.763997I
3.54333 + 0.77174I 0
u = 0.654489 0.827755I
a = 0.066925 + 0.212319I
b = 0.471130 0.763997I
3.54333 0.77174I 0
u = 0.690909 + 0.807146I
a = 0.755212 0.280451I
b = 1.122940 + 0.761376I
1.63802 + 1.17939I 0
u = 0.690909 0.807146I
a = 0.755212 + 0.280451I
b = 1.122940 0.761376I
1.63802 1.17939I 0
u = 0.051295 + 0.932997I
a = 0.196937 1.390440I
b = 1.35534 + 0.65426I
3.00062 + 4.93850I 0
u = 0.051295 0.932997I
a = 0.196937 + 1.390440I
b = 1.35534 0.65426I
3.00062 4.93850I 0
u = 0.055992 + 1.067270I
a = 0.299556 1.180360I
b = 0.95259 1.87025I
2.98711 + 4.93923I 0
u = 0.055992 1.067270I
a = 0.299556 + 1.180360I
b = 0.95259 + 1.87025I
2.98711 4.93923I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.776104 + 0.743970I
a = 0.79359 + 1.33980I
b = 0.647679 + 0.121307I
5.84158 + 5.25276I 0
u = 0.776104 0.743970I
a = 0.79359 1.33980I
b = 0.647679 0.121307I
5.84158 5.25276I 0
u = 0.088160 + 0.920459I
a = 0.735937 + 0.551662I
b = 1.84008 + 0.63131I
2.06178 2.35501I 0
u = 0.088160 0.920459I
a = 0.735937 0.551662I
b = 1.84008 0.63131I
2.06178 + 2.35501I 0
u = 0.901902 + 0.589366I
a = 0.384938 + 0.899525I
b = 0.864785 + 0.056309I
4.97624 + 0.02860I 0
u = 0.901902 0.589366I
a = 0.384938 0.899525I
b = 0.864785 0.056309I
4.97624 0.02860I 0
u = 1.005860 + 0.386592I
a = 0.023711 0.415093I
b = 0.759654 + 0.149267I
3.41766 4.52329I 0
u = 1.005860 0.386592I
a = 0.023711 + 0.415093I
b = 0.759654 0.149267I
3.41766 + 4.52329I 0
u = 0.431856 + 0.988775I
a = 0.744058 + 0.282002I
b = 1.64677 0.15271I
3.53082 + 5.68006I 0
u = 0.431856 0.988775I
a = 0.744058 0.282002I
b = 1.64677 + 0.15271I
3.53082 5.68006I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.865071 + 0.648349I
a = 0.487618 + 0.969661I
b = 0.859200 + 0.065849I
5.18069 8.61128I 0
u = 0.865071 0.648349I
a = 0.487618 0.969661I
b = 0.859200 0.065849I
5.18069 + 8.61128I 0
u = 0.064158 + 1.081380I
a = 0.252839 0.873070I
b = 1.14380 2.03276I
1.49500 5.13459I 0
u = 0.064158 1.081380I
a = 0.252839 + 0.873070I
b = 1.14380 + 2.03276I
1.49500 + 5.13459I 0
u = 0.807956 + 0.726655I
a = 0.622056 0.923463I
b = 0.343229 + 0.357295I
4.33289 1.17468I 0
u = 0.807956 0.726655I
a = 0.622056 + 0.923463I
b = 0.343229 0.357295I
4.33289 + 1.17468I 0
u = 0.611960 + 0.902463I
a = 0.430207 + 0.590458I
b = 0.906526 + 0.597908I
0.82840 2.33599I 0
u = 0.611960 0.902463I
a = 0.430207 0.590458I
b = 0.906526 0.597908I
0.82840 + 2.33599I 0
u = 0.822939 + 0.719679I
a = 0.75598 + 1.20689I
b = 0.243981 + 0.322001I
8.82515 1.40475I 0
u = 0.822939 0.719679I
a = 0.75598 1.20689I
b = 0.243981 0.322001I
8.82515 + 1.40475I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.691061 + 0.850501I
a = 0.828554 0.792813I
b = 1.280470 0.004560I
3.58193 0.54006I 0
u = 0.691061 0.850501I
a = 0.828554 + 0.792813I
b = 1.280470 + 0.004560I
3.58193 + 0.54006I 0
u = 0.087457 + 1.094210I
a = 0.413329 1.032040I
b = 0.74889 1.91427I
2.65095 5.47553I 0
u = 0.087457 1.094210I
a = 0.413329 + 1.032040I
b = 0.74889 + 1.91427I
2.65095 + 5.47553I 0
u = 0.653656 + 0.885750I
a = 0.097818 0.187833I
b = 1.168800 + 0.285092I
3.36699 + 4.32043I 0
u = 0.653656 0.885750I
a = 0.097818 + 0.187833I
b = 1.168800 0.285092I
3.36699 4.32043I 0
u = 0.754634 + 0.802429I
a = 1.40553 + 0.56485I
b = 2.09554 + 0.90708I
8.91407 + 1.56813I 0
u = 0.754634 0.802429I
a = 1.40553 0.56485I
b = 2.09554 0.90708I
8.91407 1.56813I 0
u = 0.689892 + 0.867882I
a = 1.28608 1.09970I
b = 1.70168 0.72921I
0.83658 + 2.65588I 0
u = 0.689892 0.867882I
a = 1.28608 + 1.09970I
b = 1.70168 + 0.72921I
0.83658 2.65588I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.773330 + 0.796565I
a = 1.279430 + 0.485677I
b = 2.13274 + 1.02589I
8.47619 + 6.26633I 0
u = 0.773330 0.796565I
a = 1.279430 0.485677I
b = 2.13274 1.02589I
8.47619 6.26633I 0
u = 0.665589 + 0.894658I
a = 0.737613 0.146634I
b = 1.80750 + 0.04262I
1.94371 + 6.21477I 0
u = 0.665589 0.894658I
a = 0.737613 + 0.146634I
b = 1.80750 0.04262I
1.94371 6.21477I 0
u = 0.428880 + 0.773481I
a = 0.865618 0.145860I
b = 0.570865 0.217822I
1.21674 2.08359I 0
u = 0.428880 0.773481I
a = 0.865618 + 0.145860I
b = 0.570865 + 0.217822I
1.21674 + 2.08359I 0
u = 0.691421 + 0.881730I
a = 0.835843 0.747645I
b = 1.66018 0.21199I
3.48485 4.78094I 0
u = 0.691421 0.881730I
a = 0.835843 + 0.747645I
b = 1.66018 + 0.21199I
3.48485 + 4.78094I 0
u = 0.213123 + 1.100780I
a = 0.115302 0.855901I
b = 1.005820 0.949934I
1.53168 0.09302I 0
u = 0.213123 1.100780I
a = 0.115302 + 0.855901I
b = 1.005820 + 0.949934I
1.53168 + 0.09302I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.059714 + 0.861764I
a = 0.12660 1.76033I
b = 0.729951 0.215953I
3.88079 + 3.25094I 0
u = 0.059714 0.861764I
a = 0.12660 + 1.76033I
b = 0.729951 + 0.215953I
3.88079 3.25094I 0
u = 0.684588 + 0.912465I
a = 0.333389 0.748729I
b = 1.47026 0.18844I
1.31431 6.48090I 0
u = 0.684588 0.912465I
a = 0.333389 + 0.748729I
b = 1.47026 + 0.18844I
1.31431 + 6.48090I 0
u = 0.664597 + 0.931591I
a = 0.612186 0.990866I
b = 0.711918 + 1.214260I
7.22827 + 0.93256I 0
u = 0.664597 0.931591I
a = 0.612186 + 0.990866I
b = 0.711918 1.214260I
7.22827 0.93256I 0
u = 0.068617 + 0.851219I
a = 0.528934 0.784604I
b = 1.90863 + 0.32368I
2.27221 + 2.52251I 0
u = 0.068617 0.851219I
a = 0.528934 + 0.784604I
b = 1.90863 0.32368I
2.27221 2.52251I 0
u = 0.248823 + 1.130670I
a = 0.079674 + 0.755072I
b = 0.281280 + 1.004990I
2.76644 2.09143I 0
u = 0.248823 1.130670I
a = 0.079674 0.755072I
b = 0.281280 1.004990I
2.76644 + 2.09143I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.688153 + 0.941493I
a = 0.655244 0.836923I
b = 1.49070 + 1.61362I
6.81987 9.51359I 0
u = 0.688153 0.941493I
a = 0.655244 + 0.836923I
b = 1.49070 1.61362I
6.81987 + 9.51359I 0
u = 0.435549 + 1.091350I
a = 0.474695 0.580565I
b = 0.378871 1.013870I
1.36962 1.85138I 0
u = 0.435549 1.091350I
a = 0.474695 + 0.580565I
b = 0.378871 + 1.013870I
1.36962 + 1.85138I 0
u = 0.426238 + 1.095500I
a = 0.722885 + 0.789432I
b = 1.73771 + 1.27777I
1.62591 5.22432I 0
u = 0.426238 1.095500I
a = 0.722885 0.789432I
b = 1.73771 1.27777I
1.62591 + 5.22432I 0
u = 0.725869 + 0.933806I
a = 0.42474 1.41475I
b = 0.085973 0.555687I
8.50836 7.19045I 0
u = 0.725869 0.933806I
a = 0.42474 + 1.41475I
b = 0.085973 + 0.555687I
8.50836 + 7.19045I 0
u = 0.138314 + 0.794865I
a = 1.84525 + 0.01750I
b = 2.23043 + 0.11273I
3.88408 + 0.62478I 0
u = 0.138314 0.794865I
a = 1.84525 0.01750I
b = 2.23043 0.11273I
3.88408 0.62478I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.175867 + 1.183090I
a = 0.773028 + 0.269015I
b = 1.66233 0.24987I
1.98898 7.82821I 0
u = 0.175867 1.183090I
a = 0.773028 0.269015I
b = 1.66233 + 0.24987I
1.98898 + 7.82821I 0
u = 0.742769 + 0.943105I
a = 0.399672 1.257800I
b = 0.070820 0.167804I
8.02705 0.53637I 0
u = 0.742769 0.943105I
a = 0.399672 + 1.257800I
b = 0.070820 + 0.167804I
8.02705 + 0.53637I 0
u = 1.005000 + 0.674254I
a = 0.763454 0.991265I
b = 0.186321 + 0.306636I
10.3472 + 14.3037I 0
u = 1.005000 0.674254I
a = 0.763454 + 0.991265I
b = 0.186321 0.306636I
10.3472 14.3037I 0
u = 0.722759 + 0.976981I
a = 1.157800 0.801730I
b = 2.24336 0.88064I
5.12931 10.92910I 0
u = 0.722759 0.976981I
a = 1.157800 + 0.801730I
b = 2.24336 + 0.88064I
5.12931 + 10.92910I 0
u = 0.702421 + 0.992930I
a = 0.951897 0.798342I
b = 2.47015 1.19092I
7.73847 10.59110I 0
u = 0.702421 0.992930I
a = 0.951897 + 0.798342I
b = 2.47015 + 1.19092I
7.73847 + 10.59110I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.082395 + 0.770905I
a = 0.971468 0.380948I
b = 1.62493 + 0.50157I
0.10404 + 1.41923I 0
u = 0.082395 0.770905I
a = 0.971468 + 0.380948I
b = 1.62493 0.50157I
0.10404 1.41923I 0
u = 0.702625 + 1.003460I
a = 0.669800 0.752517I
b = 2.55167 1.06670I
6.81481 5.87899I 0
u = 0.702625 1.003460I
a = 0.669800 + 0.752517I
b = 2.55167 + 1.06670I
6.81481 + 5.87899I 0
u = 0.695367 + 1.008570I
a = 0.773696 0.531545I
b = 2.30392 1.67276I
3.26597 + 11.08620I 0
u = 0.695367 1.008570I
a = 0.773696 + 0.531545I
b = 2.30392 + 1.67276I
3.26597 11.08620I 0
u = 0.733919 + 0.990989I
a = 0.830395 + 0.547240I
b = 2.06470 + 0.68682I
3.52769 + 6.96997I 0
u = 0.733919 0.990989I
a = 0.830395 0.547240I
b = 2.06470 0.68682I
3.52769 6.96997I 0
u = 0.716172 + 1.004540I
a = 1.061840 0.659607I
b = 2.20371 1.26389I
7.79793 + 11.31820I 0
u = 0.716172 1.004540I
a = 1.061840 + 0.659607I
b = 2.20371 + 1.26389I
7.79793 11.31820I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.036263 + 1.236210I
a = 0.478298 + 0.242680I
b = 1.086370 0.243911I
1.69291 2.11297I 0
u = 0.036263 1.236210I
a = 0.478298 0.242680I
b = 1.086370 + 0.243911I
1.69291 + 2.11297I 0
u = 0.743439 + 1.000500I
a = 1.087320 0.661064I
b = 1.86657 1.00083I
7.97270 + 7.27578I 0
u = 0.743439 1.000500I
a = 1.087320 + 0.661064I
b = 1.86657 + 1.00083I
7.97270 7.27578I 0
u = 0.770932 + 0.989960I
a = 0.569631 0.719099I
b = 1.46215 + 0.02503I
3.15900 + 1.27533I 0
u = 0.770932 0.989960I
a = 0.569631 + 0.719099I
b = 1.46215 0.02503I
3.15900 1.27533I 0
u = 0.704185 + 1.047690I
a = 0.551114 0.782373I
b = 1.47313 1.28236I
6.70026 1.40092I 0
u = 0.704185 1.047690I
a = 0.551114 + 0.782373I
b = 1.47313 + 1.28236I
6.70026 + 1.40092I 0
u = 0.720421 + 0.150681I
a = 1.44269 0.63606I
b = 0.255260 + 0.132036I
1.21559 + 1.05115I 0
u = 0.720421 0.150681I
a = 1.44269 + 0.63606I
b = 0.255260 0.132036I
1.21559 1.05115I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.801475 + 0.979398I
a = 0.141509 + 0.455445I
b = 0.351013 0.132418I
1.95365 2.74171I 0
u = 0.801475 0.979398I
a = 0.141509 0.455445I
b = 0.351013 + 0.132418I
1.95365 + 2.74171I 0
u = 0.701114 + 1.060560I
a = 0.151344 + 0.000224I
b = 0.284550 0.952431I
3.34759 + 9.55470I 0
u = 0.701114 1.060560I
a = 0.151344 0.000224I
b = 0.284550 + 0.952431I
3.34759 9.55470I 0
u = 0.729457 + 1.043250I
a = 0.696053 0.802762I
b = 1.26712 1.09205I
7.34414 + 1.75059I 0
u = 0.729457 1.043250I
a = 0.696053 + 0.802762I
b = 1.26712 + 1.09205I
7.34414 1.75059I 0
u = 0.732727 + 1.048180I
a = 0.875464 + 0.488862I
b = 1.73923 + 0.05978I
3.9657 + 14.5518I 0
u = 0.732727 1.048180I
a = 0.875464 0.488862I
b = 1.73923 0.05978I
3.9657 14.5518I 0
u = 0.852755 + 0.957193I
a = 0.710020 0.064648I
b = 1.271960 0.230455I
2.11614 3.69480I 0
u = 0.852755 0.957193I
a = 0.710020 + 0.064648I
b = 1.271960 + 0.230455I
2.11614 + 3.69480I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.094870 + 0.671460I
a = 0.733909 0.867549I
b = 0.236044 + 0.300448I
9.84869 5.25746I 0
u = 1.094870 0.671460I
a = 0.733909 + 0.867549I
b = 0.236044 0.300448I
9.84869 + 5.25746I 0
u = 0.096098 + 0.695738I
a = 0.0357836 + 0.0332813I
b = 1.48260 + 0.81204I
1.51047 2.72987I 0
u = 0.096098 0.695738I
a = 0.0357836 0.0332813I
b = 1.48260 0.81204I
1.51047 + 2.72987I 0
u = 0.966910 + 0.869936I
a = 0.699102 + 0.500178I
b = 1.360340 + 0.048456I
3.86258 + 5.08823I 0
u = 0.966910 0.869936I
a = 0.699102 0.500178I
b = 1.360340 0.048456I
3.86258 5.08823I 0
u = 0.742479 + 1.084170I
a = 0.807523 + 0.464536I
b = 1.59770 0.02630I
3.49514 6.09670I 0
u = 0.742479 1.084170I
a = 0.807523 0.464536I
b = 1.59770 + 0.02630I
3.49514 + 6.09670I 0
u = 1.164130 + 0.651829I
a = 0.824760 0.479288I
b = 0.366986 + 0.021813I
9.25733 + 3.82884I 0
u = 1.164130 0.651829I
a = 0.824760 + 0.479288I
b = 0.366986 0.021813I
9.25733 3.82884I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.335180 + 0.045870I
a = 0.887390 + 0.167378I
b = 0.343460 0.122500I
6.37524 + 7.37469I 0
u = 1.335180 0.045870I
a = 0.887390 0.167378I
b = 0.343460 + 0.122500I
6.37524 7.37469I 0
u = 0.790060 + 1.099730I
a = 0.950162 + 0.640629I
b = 2.25178 + 1.08655I
8.9890 20.8349I 0
u = 0.790060 1.099730I
a = 0.950162 0.640629I
b = 2.25178 1.08655I
8.9890 + 20.8349I 0
u = 0.334535 + 1.318430I
a = 0.555325 + 0.783450I
b = 1.35765 + 1.23647I
1.27806 + 12.92240I 0
u = 0.334535 1.318430I
a = 0.555325 0.783450I
b = 1.35765 1.23647I
1.27806 12.92240I 0
u = 0.820487 + 1.128710I
a = 0.901461 + 0.609622I
b = 2.15815 + 0.99885I
8.3665 + 12.1206I 0
u = 0.820487 1.128710I
a = 0.901461 0.609622I
b = 2.15815 0.99885I
8.3665 12.1206I 0
u = 0.84675 + 1.15566I
a = 0.606012 + 0.664215I
b = 1.28122 + 0.90160I
7.63515 10.95400I 0
u = 0.84675 1.15566I
a = 0.606012 0.664215I
b = 1.28122 0.90160I
7.63515 + 10.95400I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.111264 + 0.500899I
a = 1.05084 + 1.84611I
b = 0.35212 + 2.83449I
5.24999 2.60465I 6.00000 2.19743I
u = 0.111264 0.500899I
a = 1.05084 1.84611I
b = 0.35212 2.83449I
5.24999 + 2.60465I 6.00000 + 2.19743I
u = 0.474765 + 0.159668I
a = 0.004254 1.231340I
b = 0.444753 + 0.198724I
1.47546 2.14453I 3.64707 + 4.72964I
u = 0.474765 0.159668I
a = 0.004254 + 1.231340I
b = 0.444753 0.198724I
1.47546 + 2.14453I 3.64707 4.72964I
u = 0.114297 + 0.482770I
a = 1.04291 + 1.66251I
b = 0.91928 + 3.13674I
4.76657 5.56271I 4.06278 + 7.70334I
u = 0.114297 0.482770I
a = 1.04291 1.66251I
b = 0.91928 3.13674I
4.76657 + 5.56271I 4.06278 7.70334I
u = 0.40684 + 1.55903I
a = 0.470985 + 0.439308I
b = 1.151410 + 0.310739I
0.41217 2.02918I 0
u = 0.40684 1.55903I
a = 0.470985 0.439308I
b = 1.151410 0.310739I
0.41217 + 2.02918I 0
u = 0.378304
a = 1.13027
b = 0.295865
0.787959 13.0920
u = 0.070585 + 0.282507I
a = 2.27120 0.63975I
b = 0.193003 + 0.277598I
0.99613 1.75427I 5.45625 + 2.95586I
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.070585 0.282507I
a = 2.27120 + 0.63975I
b = 0.193003 0.277598I
0.99613 + 1.75427I 5.45625 2.95586I
u = 0.12680 + 1.71644I
a = 0.031494 + 0.627770I
b = 0.129686 + 0.877646I
0.259477 0.699060I 0
u = 0.12680 1.71644I
a = 0.031494 0.627770I
b = 0.129686 0.877646I
0.259477 + 0.699060I 0
u = 0.114716 + 0.148148I
a = 3.17357 + 6.33044I
b = 0.372662 + 0.887428I
3.03081 4.92872I 11.64890 + 6.43093I
u = 0.114716 0.148148I
a = 3.17357 6.33044I
b = 0.372662 0.887428I
3.03081 + 4.92872I 11.64890 6.43093I
u = 0.159647
a = 8.40990
b = 1.03854
6.45009 13.9500
u = 0.0570760 + 0.0388787I
a = 19.0279 + 9.1593I
b = 0.328108 + 0.166954I
6.77712 4.78767I 1.20601 5.15256I
u = 0.0570760 0.0388787I
a = 19.0279 9.1593I
b = 0.328108 0.166954I
6.77712 + 4.78767I 1.20601 + 5.15256I
22
II. I
u
2
= h3.80 × 10
21
u
47
3.10 × 10
21
u
46
+ · · · + 8.56 × 10
20
b 1.70 ×
10
21
, 7.59 × 10
21
u
47
4.07 × 10
21
u
46
+ · · · + 8.56 × 10
20
a 7.94 ×
10
21
, u
48
+ 12u
46
+ · · · 2u + 1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
u
2
a
7
=
u
u
a
11
=
8.86831u
47
+ 4.75916u
46
+ ··· 7.36450u + 9.28158
4.43689u
47
+ 3.62509u
46
+ ··· 14.0079u + 1.98419
a
12
=
15.9248u
47
+ 3.67023u
46
+ ··· + 3.67256u + 10.4157
2.61964u
47
+ 2.53616u
46
+ ··· 2.97082u + 3.11826
a
1
=
u
2
+ 1
u
4
a
5
=
12.4438u
47
1.10608u
46
+ ··· + 20.9145u 0.511386
5.88116u
47
6.20079u
46
+ ··· + 20.9984u 5.86584
a
10
=
3.75936u
47
+ 4.07112u
46
+ ··· 23.7560u + 7.16059
3.65790u
47
+ 5.69221u
46
+ ··· 24.3189u + 6.03854
a
8
=
1.36624u
47
+ 3.97088u
46
+ ··· 16.6547u + 11.3553
5.20258u
47
+ 8.15656u
46
+ ··· 28.0795u + 13.9327
a
4
=
3.23307u
47
+ 5.57136u
46
+ ··· 15.0120u + 7.58740
5.37963u
47
+ 4.36610u
46
+ ··· 16.9256u + 10.0400
a
9
=
0.0673709u
47
+ 6.46832u
46
+ ··· 24.0756u + 13.1850
2.93031u
47
+ 6.25970u
46
+ ··· 22.0101u + 9.90766
(ii) Obstruction class = 1
(iii) Cusp Shapes =
21180567174339873044441
855788823662542593863
u
47
32153036038454139355101
855788823662542593863
u
46
+ ··· +
85849411003675809953384
855788823662542593863
u
55911545476125689707477
855788823662542593863
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
48
24u
47
+ ··· 14u + 1
c
2
u
48
+ 12u
46
+ ··· 2u + 1
c
3
u
48
u
47
+ ··· + u + 1
c
4
u
48
u
47
+ ··· + 76u + 101
c
5
u
48
15u
46
+ ··· 3u + 1
c
6
u
48
+ 12u
46
+ ··· + 2u + 1
c
7
u
48
+ 14u
47
+ ··· + 20u + 1
c
8
u
48
12u
46
+ ··· + 12u + 1
c
9
u
48
6u
47
+ ··· 31u + 7
c
10
u
48
15u
46
+ ··· + 3u + 1
c
11
u
48
+ 2u
47
+ ··· 184u + 23
c
12
u
48
3u
47
+ ··· + 7u + 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
48
+ 8y
47
+ ··· + 38y + 1
c
2
, c
6
y
48
+ 24y
47
+ ··· + 14y + 1
c
3
y
48
9y
47
+ ··· + 35y + 1
c
4
y
48
+ 33y
47
+ ··· + 254400y + 10201
c
5
, c
10
y
48
30y
47
+ ··· y + 1
c
7
y
48
28y
47
+ ··· 60y + 1
c
8
y
48
24y
47
+ ··· + 4y + 1
c
9
y
48
6y
47
+ ··· + 1811y + 49
c
11
y
48
18y
47
+ ··· 3358y + 529
c
12
y
48
11y
47
+ ··· 15y + 1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.768720 + 0.658668I
a = 0.85436 + 1.22538I
b = 0.207561 0.287599I
7.94591 4.70550I 10.01183 + 0.I
u = 0.768720 0.658668I
a = 0.85436 1.22538I
b = 0.207561 + 0.287599I
7.94591 + 4.70550I 10.01183 + 0.I
u = 0.592054 + 0.842866I
a = 0.670142 + 1.153250I
b = 0.153949 0.617247I
6.84552 + 1.86789I 12.91274 5.57378I
u = 0.592054 0.842866I
a = 0.670142 1.153250I
b = 0.153949 + 0.617247I
6.84552 1.86789I 12.91274 + 5.57378I
u = 0.647501 + 0.807459I
a = 0.547692 0.609867I
b = 0.878911 + 0.321354I
2.47420 + 0.03027I 9.21112 0.31734I
u = 0.647501 0.807459I
a = 0.547692 + 0.609867I
b = 0.878911 0.321354I
2.47420 0.03027I 9.21112 + 0.31734I
u = 0.184321 + 0.944423I
a = 0.129701 + 0.460212I
b = 1.30707 + 0.90507I
2.36018 3.86802I 1.85868 + 8.52504I
u = 0.184321 0.944423I
a = 0.129701 0.460212I
b = 1.30707 0.90507I
2.36018 + 3.86802I 1.85868 8.52504I
u = 0.773042 + 0.722521I
a = 0.981199 0.777329I
b = 1.73067 + 0.24150I
7.19528 + 2.64503I 12.87026 1.18195I
u = 0.773042 0.722521I
a = 0.981199 + 0.777329I
b = 1.73067 0.24150I
7.19528 2.64503I 12.87026 + 1.18195I
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.062498 + 0.930441I
a = 0.478445 1.246880I
b = 0.92247 2.07098I
1.37948 5.29295I 4.64477 + 6.73044I
u = 0.062498 0.930441I
a = 0.478445 + 1.246880I
b = 0.92247 + 2.07098I
1.37948 + 5.29295I 4.64477 6.73044I
u = 0.675890 + 0.866670I
a = 1.20602 + 0.99108I
b = 1.55155 + 0.73661I
1.06972 + 2.61178I 10.91471 + 0.I
u = 0.675890 0.866670I
a = 1.20602 0.99108I
b = 1.55155 0.73661I
1.06972 2.61178I 10.91471 + 0.I
u = 0.463322 + 0.762814I
a = 0.541375 + 0.155817I
b = 0.018565 + 0.269826I
1.36347 2.88791I 13.1320 + 11.1162I
u = 0.463322 0.762814I
a = 0.541375 0.155817I
b = 0.018565 0.269826I
1.36347 + 2.88791I 13.1320 11.1162I
u = 0.655954 + 0.556885I
a = 0.658128 1.014860I
b = 1.21488 0.81860I
5.72643 4.99769I 13.6176 + 4.3699I
u = 0.655954 0.556885I
a = 0.658128 + 1.014860I
b = 1.21488 + 0.81860I
5.72643 + 4.99769I 13.6176 4.3699I
u = 0.583444 + 0.982503I
a = 0.220299 + 0.183428I
b = 0.691686 + 0.702720I
0.47740 1.34364I 6.00000 + 0.I
u = 0.583444 0.982503I
a = 0.220299 0.183428I
b = 0.691686 0.702720I
0.47740 + 1.34364I 6.00000 + 0.I
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.676355 + 0.925580I
a = 0.625812 0.422920I
b = 1.58905 0.00589I
2.09028 5.17278I 6.00000 + 5.54812I
u = 0.676355 0.925580I
a = 0.625812 + 0.422920I
b = 1.58905 + 0.00589I
2.09028 + 5.17278I 6.00000 5.54812I
u = 0.618087 + 0.973465I
a = 0.686197 0.855033I
b = 1.71290 1.40724I
6.40644 + 2.90613I 12.43364 + 0.I
u = 0.618087 0.973465I
a = 0.686197 + 0.855033I
b = 1.71290 + 1.40724I
6.40644 2.90613I 12.43364 + 0.I
u = 0.178287 + 0.809758I
a = 1.76118 0.24025I
b = 2.20807 0.06055I
3.84157 + 0.79598I 10.1665 23.4245I
u = 0.178287 0.809758I
a = 1.76118 + 0.24025I
b = 2.20807 + 0.06055I
3.84157 0.79598I 10.1665 + 23.4245I
u = 0.070016 + 0.797431I
a = 0.16701 + 1.73537I
b = 0.549095 0.210735I
1.97068 + 4.72444I 2.09366 4.65455I
u = 0.070016 0.797431I
a = 0.16701 1.73537I
b = 0.549095 + 0.210735I
1.97068 4.72444I 2.09366 + 4.65455I
u = 0.729281 + 0.965492I
a = 0.672684 + 0.907257I
b = 1.41360 0.11972I
6.48148 8.33922I 0
u = 0.729281 0.965492I
a = 0.672684 0.907257I
b = 1.41360 + 0.11972I
6.48148 + 8.33922I 0
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.689797 + 0.327131I
a = 1.40226 0.33197I
b = 1.32937 + 1.23585I
5.59241 + 5.55859I 15.6401 7.3072I
u = 0.689797 0.327131I
a = 1.40226 + 0.33197I
b = 1.32937 1.23585I
5.59241 5.55859I 15.6401 + 7.3072I
u = 0.717094 + 1.010510I
a = 0.990922 0.725034I
b = 2.28919 1.16627I
6.91465 + 10.36480I 0
u = 0.717094 1.010510I
a = 0.990922 + 0.725034I
b = 2.28919 + 1.16627I
6.91465 10.36480I 0
u = 0.181515 + 0.735638I
a = 0.609639 0.509663I
b = 1.83743 + 0.57394I
1.45198 + 2.22077I 7.31020 + 4.25216I
u = 0.181515 0.735638I
a = 0.609639 + 0.509663I
b = 1.83743 0.57394I
1.45198 2.22077I 7.31020 4.25216I
u = 0.676301 + 1.060620I
a = 0.586273 + 0.475419I
b = 1.09718 + 1.65420I
4.21505 + 10.32000I 0
u = 0.676301 1.060620I
a = 0.586273 0.475419I
b = 1.09718 1.65420I
4.21505 10.32000I 0
u = 0.926320 + 0.871238I
a = 0.383062 + 0.083152I
b = 1.077470 + 0.079513I
2.07396 4.48128I 0
u = 0.926320 0.871238I
a = 0.383062 0.083152I
b = 1.077470 0.079513I
2.07396 + 4.48128I 0
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.410072 + 0.377267I
a = 1.21656 1.80969I
b = 0.75182 1.65353I
5.76779 3.13737I 15.3337 + 5.4732I
u = 0.410072 0.377267I
a = 1.21656 + 1.80969I
b = 0.75182 + 1.65353I
5.76779 + 3.13737I 15.3337 5.4732I
u = 0.467096 + 0.303554I
a = 2.29826 + 1.11633I
b = 0.1079030 0.0143946I
6.96911 + 5.01754I 16.5170 14.9235I
u = 0.467096 0.303554I
a = 2.29826 1.11633I
b = 0.1079030 + 0.0143946I
6.96911 5.01754I 16.5170 + 14.9235I
u = 0.38225 + 1.53577I
a = 0.451867 0.420632I
b = 1.089780 0.255948I
0.44126 2.16874I 0
u = 0.38225 1.53577I
a = 0.451867 + 0.420632I
b = 1.089780 + 0.255948I
0.44126 + 2.16874I 0
u = 0.05066 + 1.69146I
a = 0.034113 + 0.604818I
b = 0.108811 + 0.774683I
0.347722 0.372058I 0
u = 0.05066 1.69146I
a = 0.034113 0.604818I
b = 0.108811 0.774683I
0.347722 + 0.372058I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
48
24u
47
+ ··· 14u + 1)(u
178
+ 65u
177
+ ··· 113u + 1)
c
2
(u
48
+ 12u
46
+ ··· 2u + 1)(u
178
u
177
+ ··· 27u + 1)
c
3
(u
48
u
47
+ ··· + u + 1)(u
178
+ 2u
177
+ ··· + 264305u 19304)
c
4
(u
48
u
47
+ ··· + 76u + 101)
· (u
178
+ 4u
177
+ ··· 1021989622123u + 820796062693)
c
5
(u
48
15u
46
+ ··· 3u + 1)(u
178
+ u
177
+ ··· 587u 22)
c
6
(u
48
+ 12u
46
+ ··· + 2u + 1)(u
178
u
177
+ ··· 27u + 1)
c
7
(u
48
+ 14u
47
+ ··· + 20u + 1)
· (u
178
7u
177
+ ··· 12535015u + 2055653)
c
8
(u
48
12u
46
+ ··· + 12u + 1)
· (u
178
5u
177
+ ··· 3889465u 320519)
c
9
(u
48
6u
47
+ ··· 31u + 7)
· (u
178
13u
177
+ ··· 562102508u 86410391)
c
10
(u
48
15u
46
+ ··· + 3u + 1)(u
178
+ u
177
+ ··· 587u 22)
c
11
(u
48
+ 2u
47
+ ··· 184u + 23)
· (u
178
+ u
177
+ ··· 235642121u 12599233)
c
12
(u
48
3u
47
+ ··· + 7u + 1)(u
178
+ 14u
177
+ ··· + 2u + 1)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
48
+ 8y
47
+ ··· + 38y + 1)(y
178
+ 105y
177
+ ··· + 63999y + 1)
c
2
, c
6
(y
48
+ 24y
47
+ ··· + 14y + 1)(y
178
+ 65y
177
+ ··· 113y + 1)
c
3
(y
48
9y
47
+ ··· + 35y + 1)
· (y
178
36y
177
+ ··· 39240487121y + 372644416)
c
4
(y
48
+ 33y
47
+ ··· + 254400y + 10201)
· (y
178
+ 106y
177
+ ··· + 2.21 × 10
25
y + 6.74 × 10
23
)
c
5
, c
10
(y
48
30y
47
+ ··· y + 1)(y
178
129y
177
+ ··· + 282299y + 484)
c
7
(y
48
28y
47
+ ··· 60y + 1)
· (y
178
71y
177
+ ··· 350661278205151y + 4225709256409)
c
8
(y
48
24y
47
+ ··· + 4y + 1)
· (y
178
55y
177
+ ··· 10252412577651y + 102732429361)
c
9
(y
48
6y
47
+ ··· + 1811y + 49)
· (y
178
+ 55y
177
+ ··· 886494592097220180y + 7466755672772881)
c
11
(y
48
18y
47
+ ··· 3358y + 529)
· (y
178
73y
177
+ ··· 10158224326040469y + 158740672188289)
c
12
(y
48
11y
47
+ ··· 15y + 1)(y
178
30y
177
+ ··· 146y + 1)
34