12a
1001
(K12a
1001
)
A knot diagram
1
Linearized knot diagam
4 6 12 9 8 11 2 5 1 3 7 10
Solving Sequence
1,9 5,10
4 2 8 6 7 12 3 11
c
9
c
4
c
1
c
8
c
5
c
7
c
12
c
3
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h3.93846 × 10
410
u
123
+ 2.26334 × 10
411
u
122
+ ··· + 1.71029 × 10
411
b − 2.33575 × 10
412
,
− 8.53978 × 10
410
u
123
− 6.18776 × 10
411
u
122
+ ··· + 1.71029 × 10
411
a + 3.24698 × 10
412
,
u
124
+ 8u
123
+ ··· + 560u + 32i
I
u
2
= h−318371092u
29
+ 1036982687u
28
+ ··· + 1519247218b + 8755986098,
84610383u
29
+ 282766245u
28
+ ··· + 3038494436a + 19372377016, u
30
− u
29
+ ··· − 32u + 4i
* 2 irreducible components of dim
C
= 0, with total 154 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
= h3.94 × 10
410
u
123
+ 2.26 × 10
411
u
122
+ · · · + 1.71 × 10
411
b − 2.34 ×
10
412
, −8.54 × 10
410
u
123
− 6.19 × 10
411
u
122
+ · · · + 1.71 × 10
411
a + 3.25 ×
10
412
, u
124
+ 8u
123
+ · · · + 560u + 32i
(i) Arc colorings
a
1
=
0
u
a
9
=
1
0
a
5
=
0.499318u
123
+ 3.61796u
122
+ ··· − 301.498u − 18.9850
−0.230280u
123
− 1.32337u
122
+ ··· + 223.187u + 13.6570
a
10
=
1
u
2
a
4
=
0.269037u
123
+ 2.29459u
122
+ ··· − 78.3102u − 5.32792
−0.230280u
123
− 1.32337u
122
+ ··· + 223.187u + 13.6570
a
2
=
−0.189282u
123
− 1.38263u
122
+ ··· + 102.831u + 2.53366
0.0856813u
123
+ 0.393010u
122
+ ··· − 147.048u − 8.35132
a
8
=
−0.0202511u
123
− 0.458635u
122
+ ··· − 40.4152u − 12.0426
0.281230u
123
+ 2.63215u
122
+ ··· + 157.158u + 11.1424
a
6
=
−0.812210u
123
− 5.85729u
122
+ ··· + 433.653u + 22.6467
0.570616u
123
+ 3.66425u
122
+ ··· − 379.706u − 22.6495
a
7
=
0.188853u
123
+ 0.923993u
122
+ ··· − 231.382u − 20.5808
0.152414u
123
+ 1.85479u
122
+ ··· + 257.304u + 16.3548
a
12
=
u
u
3
+ u
a
3
=
0.289775u
123
+ 1.56030u
122
+ ··· − 388.413u − 23.1243
−0.113816u
123
+ 0.173382u
122
+ ··· + 416.531u + 24.6669
a
11
=
−0.363981u
123
− 2.94441u
122
+ ··· − 106.608u + 3.55885
0.452720u
123
+ 3.74556u
122
+ ··· + 87.4958u + 2.58917
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.865722u
123
− 7.01651u
122
+ ··· + 103.882u + 11.6286
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
124
+ 30u
122
+ ··· + 85438383u + 36885536
c
2
u
124
− 29u
122
+ ··· − 23801512u + 5726284
c
3
u
124
+ 4u
122
+ ··· − 31546u + 3791
c
4
, c
5
, c
8
u
124
− 4u
123
+ ··· − 975u + 79
c
6
, c
11
u
124
+ 2u
123
+ ··· + 597u + 931
c
7
u
124
+ u
123
+ ··· + 73728u + 8192
c
9
, c
12
u
124
− 8u
123
+ ··· − 560u + 32
c
10
u
124
− u
123
+ ··· − 2248365u + 240002
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
124
+ 60y
123
+ ··· + 72974396355643039y + 1360542766007296
c
2
y
124
− 58y
123
+ ··· − 1243275573737328y + 32790328448656
c
3
y
124
+ 8y
123
+ ··· + 534025554y + 14371681
c
4
, c
5
, c
8
y
124
+ 136y
123
+ ··· + 320169y + 6241
c
6
, c
11
y
124
− 74y
123
+ ··· − 23962845y + 866761
c
7
y
124
− 21y
123
+ ··· − 5939134464y + 67108864
c
9
, c
12
y
124
+ 108y
123
+ ··· + 87808y + 1024
c
10
y
124
+ 51y
123
+ ··· + 13203890664139y + 57600960004
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.977490 + 0.167034I
a = 0.0866224 − 0.1090600I
b = 0.642115 + 0.428045I
−1.39698 − 3.25402I 0
u = 0.977490 − 0.167034I
a = 0.0866224 + 0.1090600I
b = 0.642115 − 0.428045I
−1.39698 + 3.25402I 0
u = −0.999579 + 0.176877I
a = −0.257552 − 0.082879I
b = −0.644151 + 0.521739I
2.06689 + 9.18127I 0
u = −0.999579 − 0.176877I
a = −0.257552 + 0.082879I
b = −0.644151 − 0.521739I
2.06689 − 9.18127I 0
u = 0.200891 + 1.003040I
a = −0.197076 − 0.216563I
b = 0.725450 + 0.294927I
0.25982 − 1.46997I 0
u = 0.200891 − 1.003040I
a = −0.197076 + 0.216563I
b = 0.725450 − 0.294927I
0.25982 + 1.46997I 0
u = 0.916837 + 0.254124I
a = −0.789735 + 0.659254I
b = −0.009522 − 1.403830I
3.05662 − 0.90810I 0
u = 0.916837 − 0.254124I
a = −0.789735 − 0.659254I
b = −0.009522 + 1.403830I
3.05662 + 0.90810I 0
u = 0.973539 + 0.405320I
a = 0.069127 − 0.405718I
b = −0.07473 + 1.54935I
7.18033 + 3.10381I 0
u = 0.973539 − 0.405320I
a = 0.069127 + 0.405718I
b = −0.07473 − 1.54935I
7.18033 − 3.10381I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.143915 + 1.049810I
a = −0.396190 − 0.069301I
b = −0.478605 + 0.336891I
1.78669 − 2.54842I 0
u = 0.143915 − 1.049810I
a = −0.396190 + 0.069301I
b = −0.478605 − 0.336891I
1.78669 + 2.54842I 0
u = −0.909625 + 0.208950I
a = −0.016879 + 0.212837I
b = −0.388316 + 0.460448I
4.01880 − 1.26132I 0
u = −0.909625 − 0.208950I
a = −0.016879 − 0.212837I
b = −0.388316 − 0.460448I
4.01880 + 1.26132I 0
u = −0.160084 + 1.061590I
a = 0.554363 + 1.196770I
b = 0.576392 − 0.625754I
1.26335 + 2.75150I 0
u = −0.160084 − 1.061590I
a = 0.554363 − 1.196770I
b = 0.576392 + 0.625754I
1.26335 − 2.75150I 0
u = 0.365844 + 1.097470I
a = −0.828005 + 0.838274I
b = −0.504793 − 0.584094I
2.48999 − 6.00802I 0
u = 0.365844 − 1.097470I
a = −0.828005 − 0.838274I
b = −0.504793 + 0.584094I
2.48999 + 6.00802I 0
u = 0.027510 + 0.803530I
a = 0.17026 + 2.56832I
b = 0.155281 − 0.833445I
0.13382 + 1.81392I 0
u = 0.027510 − 0.803530I
a = 0.17026 − 2.56832I
b = 0.155281 + 0.833445I
0.13382 − 1.81392I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.160837 + 1.195020I
a = 1.25219 − 1.44755I
b = 0.023114 + 0.379611I
6.66402 + 6.03460I 0
u = −0.160837 − 1.195020I
a = 1.25219 + 1.44755I
b = 0.023114 − 0.379611I
6.66402 − 6.03460I 0
u = −0.646314 + 0.461377I
a = −0.292570 − 0.290792I
b = 0.10548 + 1.51278I
6.16382 − 2.02497I 0
u = −0.646314 − 0.461377I
a = −0.292570 + 0.290792I
b = 0.10548 − 1.51278I
6.16382 + 2.02497I 0
u = 0.193029 + 1.194150I
a = −0.696828 + 0.567124I
b = 1.279530 − 0.498272I
1.95855 − 1.64792I 0
u = 0.193029 − 1.194150I
a = −0.696828 − 0.567124I
b = 1.279530 + 0.498272I
1.95855 + 1.64792I 0
u = 0.130432 + 1.208370I
a = −0.758707 − 1.034160I
b = −0.127927 + 0.487182I
3.61853 − 1.99260I 0
u = 0.130432 − 1.208370I
a = −0.758707 + 1.034160I
b = −0.127927 − 0.487182I
3.61853 + 1.99260I 0
u = −0.288185 + 1.184890I
a = 1.60717 + 2.15306I
b = 0.17132 − 1.56831I
8.58414 + 5.49019I 0
u = −0.288185 − 1.184890I
a = 1.60717 − 2.15306I
b = 0.17132 + 1.56831I
8.58414 − 5.49019I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.367250 + 1.172510I
a = −0.76172 − 1.43975I
b = −0.11117 + 1.44641I
7.52693 − 0.73729I 0
u = −0.367250 − 1.172510I
a = −0.76172 + 1.43975I
b = −0.11117 − 1.44641I
7.52693 + 0.73729I 0
u = −0.753568 + 0.155704I
a = 0.965097 − 0.002053I
b = 0.110011 − 1.407320I
4.56584 + 4.75148I 0
u = −0.753568 − 0.155704I
a = 0.965097 + 0.002053I
b = 0.110011 + 1.407320I
4.56584 − 4.75148I 0
u = 0.694740 + 0.314920I
a = −0.474407 + 0.592200I
b = −0.247848 + 0.558600I
0.06021 + 1.90390I 0
u = 0.694740 − 0.314920I
a = −0.474407 − 0.592200I
b = −0.247848 − 0.558600I
0.06021 − 1.90390I 0
u = 0.036773 + 1.245450I
a = 1.77115 − 3.09808I
b = −0.00284 + 1.51962I
13.2066 + 6.0152I 0
u = 0.036773 − 1.245450I
a = 1.77115 + 3.09808I
b = −0.00284 − 1.51962I
13.2066 − 6.0152I 0
u = 0.184775 + 1.242530I
a = −0.036008 − 0.793529I
b = −0.324842 + 0.992138I
4.71839 − 0.47439I 0
u = 0.184775 − 1.242530I
a = −0.036008 + 0.793529I
b = −0.324842 − 0.992138I
4.71839 + 0.47439I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.470512 + 1.165670I
a = −1.64550 + 1.63501I
b = −0.14985 − 1.55953I
9.67965 − 8.39661I 0
u = 0.470512 − 1.165670I
a = −1.64550 − 1.63501I
b = −0.14985 + 1.55953I
9.67965 + 8.39661I 0
u = −0.073645 + 1.265380I
a = 0.62198 + 2.40589I
b = 0.26977 − 1.69653I
10.13110 + 4.21503I 0
u = −0.073645 − 1.265380I
a = 0.62198 − 2.40589I
b = 0.26977 + 1.69653I
10.13110 − 4.21503I 0
u = −0.036244 + 1.279190I
a = −0.12658 + 2.22447I
b = −0.42306 − 1.75991I
12.69100 + 2.02618I 0
u = −0.036244 − 1.279190I
a = −0.12658 − 2.22447I
b = −0.42306 + 1.75991I
12.69100 − 2.02618I 0
u = −0.088749 + 1.279220I
a = −1.33433 − 2.56863I
b = −0.02006 + 1.52951I
10.44810 − 1.55812I 0
u = −0.088749 − 1.279220I
a = −1.33433 + 2.56863I
b = −0.02006 − 1.52951I
10.44810 + 1.55812I 0
u = −0.066951 + 1.291950I
a = 0.162128 + 0.737309I
b = −0.987123 − 0.564779I
8.16779 − 3.33134I 0
u = −0.066951 − 1.291950I
a = 0.162128 − 0.737309I
b = −0.987123 + 0.564779I
8.16779 + 3.33134I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.277301 + 1.268930I
a = 0.420795 + 0.332059I
b = −1.068690 − 0.398845I
5.85040 + 8.18125I 0
u = −0.277301 − 1.268930I
a = 0.420795 − 0.332059I
b = −1.068690 + 0.398845I
5.85040 − 8.18125I 0
u = −1.246530 + 0.372162I
a = −0.445949 − 0.963329I
b = −0.19621 + 1.52807I
8.8186 + 12.2109I 0
u = −1.246530 − 0.372162I
a = −0.445949 + 0.963329I
b = −0.19621 − 1.52807I
8.8186 − 12.2109I 0
u = −0.178787 + 1.299100I
a = 0.28770 − 1.57266I
b = −0.101065 + 0.613247I
6.29143 − 1.77951I 0
u = −0.178787 − 1.299100I
a = 0.28770 + 1.57266I
b = −0.101065 − 0.613247I
6.29143 + 1.77951I 0
u = 0.272796 + 1.288270I
a = −0.555345 + 0.617384I
b = −0.453010 − 0.255102I
2.42801 − 3.42668I 0
u = 0.272796 − 1.288270I
a = −0.555345 − 0.617384I
b = −0.453010 + 0.255102I
2.42801 + 3.42668I 0
u = −0.491360 + 0.458664I
a = 0.335658 + 0.598917I
b = 0.429127 + 0.452615I
−0.355180 − 0.178215I 0
u = −0.491360 − 0.458664I
a = 0.335658 − 0.598917I
b = 0.429127 − 0.452615I
−0.355180 + 0.178215I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.659334 + 0.034725I
a = −0.632730 − 1.091870I
b = −0.665926 + 0.509699I
2.00407 − 4.75958I 0
u = −0.659334 − 0.034725I
a = −0.632730 + 1.091870I
b = −0.665926 − 0.509699I
2.00407 + 4.75958I 0
u = 0.658890 + 0.000122I
a = −0.980786 + 0.104039I
b = −0.359323 + 0.068824I
−1.61107 + 0.03058I −8.73202 + 1.25539I
u = 0.658890 − 0.000122I
a = −0.980786 − 0.104039I
b = −0.359323 − 0.068824I
−1.61107 − 0.03058I −8.73202 − 1.25539I
u = −0.074886 + 1.339040I
a = 0.092798 − 0.708787I
b = 0.525600 + 0.877359I
5.48716 + 1.00409I 0
u = −0.074886 − 1.339040I
a = 0.092798 + 0.708787I
b = 0.525600 − 0.877359I
5.48716 − 1.00409I 0
u = −0.227412 + 1.322030I
a = 0.368705 + 0.615808I
b = 0.718257 − 0.294459I
3.72470 + 5.44921I 0
u = −0.227412 − 1.322030I
a = 0.368705 − 0.615808I
b = 0.718257 + 0.294459I
3.72470 − 5.44921I 0
u = −0.006492 + 1.363140I
a = 0.42405 − 3.20451I
b = −0.01319 + 1.57439I
13.79580 − 1.45010I 0
u = −0.006492 − 1.363140I
a = 0.42405 + 3.20451I
b = −0.01319 − 1.57439I
13.79580 + 1.45010I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.320285 + 1.334770I
a = 0.029414 − 0.885302I
b = −0.835888 + 0.747852I
8.84768 + 2.86997I 0
u = −0.320285 − 1.334770I
a = 0.029414 + 0.885302I
b = −0.835888 − 0.747852I
8.84768 − 2.86997I 0
u = 0.552616 + 0.291298I
a = 0.094438 − 1.284130I
b = 0.612181 + 0.659409I
−0.795461 − 1.037330I 0. − 3.25333I
u = 0.552616 − 0.291298I
a = 0.094438 + 1.284130I
b = 0.612181 − 0.659409I
−0.795461 + 1.037330I 0. + 3.25333I
u = 0.117767 + 1.377250I
a = −0.72783 + 1.93923I
b = −0.33331 − 1.60456I
15.2902 − 8.1910I 0
u = 0.117767 − 1.377250I
a = −0.72783 − 1.93923I
b = −0.33331 + 1.60456I
15.2902 + 8.1910I 0
u = 1.273730 + 0.549174I
a = 0.360460 − 1.107360I
b = 0.18448 + 1.48729I
4.84750 − 6.17186I 0
u = 1.273730 − 0.549174I
a = 0.360460 + 1.107360I
b = 0.18448 − 1.48729I
4.84750 + 6.17186I 0
u = −0.314591 + 1.360310I
a = 1.46267 + 1.80322I
b = 0.19617 − 1.45335I
9.36252 + 8.61382I 0
u = −0.314591 − 1.360310I
a = 1.46267 − 1.80322I
b = 0.19617 + 1.45335I
9.36252 − 8.61382I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.482576 + 1.325850I
a = 0.704913 + 0.368288I
b = 0.137939 − 0.618210I
7.62703 + 6.61783I 0
u = −0.482576 − 1.325850I
a = 0.704913 − 0.368288I
b = 0.137939 + 0.618210I
7.62703 − 6.61783I 0
u = 0.413298 + 1.351610I
a = 0.028109 − 1.061750I
b = 0.808610 + 0.764979I
3.30599 − 8.13524I 0
u = 0.413298 − 1.351610I
a = 0.028109 + 1.061750I
b = 0.808610 − 0.764979I
3.30599 + 8.13524I 0
u = 0.35334 + 1.39667I
a = −1.38508 + 2.02053I
b = −0.12257 − 1.47686I
8.26376 − 5.37377I 0
u = 0.35334 − 1.39667I
a = −1.38508 − 2.02053I
b = −0.12257 + 1.47686I
8.26376 + 5.37377I 0
u = −0.42194 + 1.38736I
a = −0.124620 − 1.041740I
b = −0.808807 + 0.733071I
6.9802 + 14.1936I 0
u = −0.42194 − 1.38736I
a = −0.124620 + 1.041740I
b = −0.808807 − 0.733071I
6.9802 − 14.1936I 0
u = 0.34542 + 1.44012I
a = −0.462910 + 0.531650I
b = −0.131431 − 0.350696I
3.08482 − 3.10748I 0
u = 0.34542 − 1.44012I
a = −0.462910 − 0.531650I
b = −0.131431 + 0.350696I
3.08482 + 3.10748I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.489716 + 0.134471I
a = 1.56784 − 0.40078I
b = 0.477031 − 0.286217I
−0.81248 + 2.69033I −6.83535 − 9.16327I
u = −0.489716 − 0.134471I
a = 1.56784 + 0.40078I
b = 0.477031 + 0.286217I
−0.81248 − 2.69033I −6.83535 + 9.16327I
u = 0.12429 + 1.49588I
a = 0.37485 − 2.11828I
b = 0.05369 + 1.61765I
14.2336 − 0.6393I 0
u = 0.12429 − 1.49588I
a = 0.37485 + 2.11828I
b = 0.05369 − 1.61765I
14.2336 + 0.6393I 0
u = 0.55591 + 1.41043I
a = 0.42290 − 1.71044I
b = 0.23987 + 1.48080I
6.12923 − 5.14327I 0
u = 0.55591 − 1.41043I
a = 0.42290 + 1.71044I
b = 0.23987 − 1.48080I
6.12923 + 5.14327I 0
u = −1.51706 + 0.24160I
a = −0.056650 − 0.925086I
b = −0.09232 + 1.50618I
10.52150 + 0.34686I 0
u = −1.51706 − 0.24160I
a = −0.056650 + 0.925086I
b = −0.09232 − 1.50618I
10.52150 − 0.34686I 0
u = −0.47707 + 1.51399I
a = −0.93347 − 1.99516I
b = −0.26168 + 1.61637I
14.7347 + 18.2048I 0
u = −0.47707 − 1.51399I
a = −0.93347 + 1.99516I
b = −0.26168 − 1.61637I
14.7347 − 18.2048I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.46153 + 1.52428I
a = 0.82340 − 2.04149I
b = 0.25761 + 1.61783I
11.1482 − 12.1241I 0
u = 0.46153 − 1.52428I
a = 0.82340 + 2.04149I
b = 0.25761 − 1.61783I
11.1482 + 12.1241I 0
u = −0.45720 + 1.54021I
a = −0.70269 − 1.91832I
b = −0.24845 + 1.61688I
16.6794 + 6.8445I 0
u = −0.45720 − 1.54021I
a = −0.70269 + 1.91832I
b = −0.24845 − 1.61688I
16.6794 − 6.8445I 0
u = 0.205604 + 0.314492I
a = −2.61667 + 3.85274I
b = 0.020884 − 1.185480I
1.16598 − 1.27267I −6.70454 + 6.29273I
u = 0.205604 − 0.314492I
a = −2.61667 − 3.85274I
b = 0.020884 + 1.185480I
1.16598 + 1.27267I −6.70454 − 6.29273I
u = −0.65619 + 1.53333I
a = 0.84572 + 1.61780I
b = 0.04637 − 1.56493I
15.0563 + 7.3358I 0
u = −0.65619 − 1.53333I
a = 0.84572 − 1.61780I
b = 0.04637 + 1.56493I
15.0563 − 7.3358I 0
u = 0.225955 + 0.237697I
a = −2.23929 − 2.73201I
b = −0.16222 − 1.50083I
10.00910 − 6.76342I 3.12266 + 4.91996I
u = 0.225955 − 0.237697I
a = −2.23929 + 2.73201I
b = −0.16222 + 1.50083I
10.00910 + 6.76342I 3.12266 − 4.91996I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.306224 + 0.041456I
a = −1.01222 + 1.75359I
b = 0.13589 + 1.51349I
6.38638 − 2.96080I 1.30073 + 1.30840I
u = −0.306224 − 0.041456I
a = −1.01222 − 1.75359I
b = 0.13589 − 1.51349I
6.38638 + 2.96080I 1.30073 − 1.30840I
u = −0.257175 + 0.169112I
a = −2.08366 + 2.43609I
b = −0.510998 − 0.401943I
3.71198 − 4.32847I −0.71338 + 6.59741I
u = −0.257175 − 0.169112I
a = −2.08366 − 2.43609I
b = −0.510998 + 0.401943I
3.71198 + 4.32847I −0.71338 − 6.59741I
u = −0.74658 + 1.52458I
a = 0.316516 + 0.191252I
b = −0.163324 − 0.355552I
5.36520 − 2.83333I 0
u = −0.74658 − 1.52458I
a = 0.316516 − 0.191252I
b = −0.163324 + 0.355552I
5.36520 + 2.83333I 0
u = 0.027556 + 0.235996I
a = −1.50680 + 0.00350I
b = 0.366436 + 0.394744I
−0.124878 − 1.027850I −2.27892 + 5.84901I
u = 0.027556 − 0.235996I
a = −1.50680 − 0.00350I
b = 0.366436 − 0.394744I
−0.124878 + 1.027850I −2.27892 − 5.84901I
u = 0.44154 + 1.75592I
a = −0.57850 + 1.98858I
b = −0.02346 − 1.50470I
9.42382 − 3.56307I 0
u = 0.44154 − 1.75592I
a = −0.57850 − 1.98858I
b = −0.02346 + 1.50470I
9.42382 + 3.56307I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.0606693 + 0.1096410I
a = 1.58691 − 8.12288I
b = −0.18125 + 1.56162I
8.92135 − 1.61801I 2.23259 + 6.15492I
u = −0.0606693 − 0.1096410I
a = 1.58691 + 8.12288I
b = −0.18125 − 1.56162I
8.92135 + 1.61801I 2.23259 − 6.15492I
u = −1.12611 + 1.90516I
a = 0.34934 + 1.54429I
b = −0.04067 − 1.50516I
11.71800 − 3.51197I 0
u = −1.12611 − 1.90516I
a = 0.34934 − 1.54429I
b = −0.04067 + 1.50516I
11.71800 + 3.51197I 0
17
II.
I
u
2
= h−3.18 × 10
8
u
29
+ 1.04 × 10
9
u
28
+ · · · + 1.52 × 10
9
b + 8.76 × 10
9
, 8.46 ×
10
7
u
29
+2.83×10
8
u
28
+· · ·+3.04×10
9
a+1.94×10
10
, u
30
−u
29
+· · ·−32u+4i
(i) Arc colorings
a
1
=
0
u
a
9
=
1
0
a
5
=
−0.0278462u
29
− 0.0930613u
28
+ ··· + 25.2320u − 6.37565
0.209558u
29
− 0.682563u
28
+ ··· + 40.4542u − 5.76337
a
10
=
1
u
2
a
4
=
0.181712u
29
− 0.775625u
28
+ ··· + 65.6863u − 12.1390
0.209558u
29
− 0.682563u
28
+ ··· + 40.4542u − 5.76337
a
2
=
−0.308716u
29
+ 0.767506u
28
+ ··· + 56.1724u − 10.9562
0.333226u
29
− 0.833849u
28
+ ··· + 38.2257u − 5.00825
a
8
=
0.535378u
29
+ 0.164005u
28
+ ··· + 6.69898u + 0.407007
0.716684u
29
− 1.08284u
28
+ ··· + 18.5078u − 2.24727
a
6
=
−1.36647u
29
+ 0.450596u
28
+ ··· + 43.6351u − 7.63423
1.59950u
29
− 0.998706u
28
+ ··· + 0.901998u − 0.00811567
a
7
=
−1.81717u
29
+ 1.61692u
28
+ ··· + 21.9363u − 6.54008
0.487495u
29
− 0.638009u
28
+ ··· + 6.67504u − 1.77420
a
12
=
u
u
3
+ u
a
3
=
0.181712u
29
+ 0.224375u
28
+ ··· + 34.6863u − 8.13902
0.209558u
29
− 0.682563u
28
+ ··· + 41.4542u − 5.76337
a
11
=
0.384693u
29
− 0.718549u
28
+ ··· − 1.22425u − 1.97284
−0.405132u
29
+ 0.559310u
28
+ ··· + 10.4988u − 2.53933
(ii) Obstruction class = 1
(iii) Cusp Shap es = −
1210104303
759623609
u
29
−
6595597944
759623609
u
28
+ ··· +
107628351518
759623609
u −
20286708558
759623609
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
30
− 9u
29
+ ··· − 5u + 11
c
2
u
30
− u
29
+ ··· + 18u
2
+ 4
c
3
u
30
− 5u
29
+ ··· − u + 1
c
4
, c
5
u
30
− 3u
29
+ ··· + 5u
2
+ 1
c
6
u
30
− u
29
+ ··· − 10u
2
+ 1
c
7
u
30
+ 3u
28
+ ··· − 6u + 1
c
8
u
30
+ 3u
29
+ ··· + 5u
2
+ 1
c
9
u
30
− u
29
+ ··· − 32u + 4
c
10
u
30
+ 3u
28
+ ··· + 37u + 13
c
11
u
30
+ u
29
+ ··· − 10u
2
+ 1
c
12
u
30
+ u
29
+ ··· + 32u + 4
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
+ 15y
29
+ ··· − 861y + 121
c
2
y
30
− 11y
29
+ ··· + 144y + 16
c
3
y
30
− 9y
29
+ ··· + 11y + 1
c
4
, c
5
, c
8
y
30
+ 35y
29
+ ··· + 10y + 1
c
6
, c
11
y
30
− 15y
29
+ ··· − 20y + 1
c
7
y
30
+ 6y
29
+ ··· − 4y + 1
c
9
, c
12
y
30
+ 31y
29
+ ··· + 144y + 16
c
10
y
30
+ 6y
29
+ ··· + 763y + 169
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.610593 + 0.818016I
a = 0.238776 + 1.096530I
b = 0.20211 − 1.45411I
9.23177 − 0.56034I 5.69179 + 0.03153I
u = −0.610593 − 0.818016I
a = 0.238776 − 1.096530I
b = 0.20211 + 1.45411I
9.23177 + 0.56034I 5.69179 − 0.03153I
u = 0.207100 + 1.173590I
a = 0.510556 − 0.533319I
b = −1.042550 + 0.382146I
1.68828 − 1.43131I −5.54373 − 4.14677I
u = 0.207100 − 1.173590I
a = 0.510556 + 0.533319I
b = −1.042550 − 0.382146I
1.68828 + 1.43131I −5.54373 + 4.14677I
u = −0.244188 + 1.181420I
a = 0.530612 − 0.480291I
b = 0.523217 − 0.038747I
5.82519 + 6.12471I −0.55665 − 6.14446I
u = −0.244188 − 1.181420I
a = 0.530612 + 0.480291I
b = 0.523217 + 0.038747I
5.82519 − 6.12471I −0.55665 + 6.14446I
u = −0.373233 + 1.169970I
a = 1.59882 + 1.09259I
b = 0.15388 − 1.48689I
11.32070 + 8.43779I 6.48477 − 7.58377I
u = −0.373233 − 1.169970I
a = 1.59882 − 1.09259I
b = 0.15388 + 1.48689I
11.32070 − 8.43779I 6.48477 + 7.58377I
u = 0.061747 + 1.248840I
a = −0.339244 − 0.534677I
b = −0.203675 + 0.983144I
4.09874 − 1.39990I −1.56240 + 4.65366I
u = 0.061747 − 1.248840I
a = −0.339244 + 0.534677I
b = −0.203675 − 0.983144I
4.09874 + 1.39990I −1.56240 − 4.65366I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.071988 + 1.272520I
a = −0.00515 − 2.65375I
b = 0.15197 + 1.70641I
12.01350 + 2.72496I 3.17665 − 5.12783I
u = −0.071988 − 1.272520I
a = −0.00515 + 2.65375I
b = 0.15197 − 1.70641I
12.01350 − 2.72496I 3.17665 + 5.12783I
u = 0.231484 + 1.259270I
a = −0.703294 + 0.868166I
b = −0.478190 − 0.409139I
2.55951 − 4.05340I 0.40455 + 9.17331I
u = 0.231484 − 1.259270I
a = −0.703294 − 0.868166I
b = −0.478190 + 0.409139I
2.55951 + 4.05340I 0.40455 − 9.17331I
u = 0.627832 + 0.323304I
a = −0.000054 + 0.252893I
b = −0.07646 + 1.52558I
5.82678 + 2.62478I −4.06670 − 5.38939I
u = 0.627832 − 0.323304I
a = −0.000054 − 0.252893I
b = −0.07646 − 1.52558I
5.82678 − 2.62478I −4.06670 + 5.38939I
u = 0.320456 + 1.289670I
a = −1.65267 + 2.07754I
b = −0.14781 − 1.53326I
9.16188 − 6.31284I 5.08370 + 6.35544I
u = 0.320456 − 1.289670I
a = −1.65267 − 2.07754I
b = −0.14781 + 1.53326I
9.16188 + 6.31284I 5.08370 − 6.35544I
u = 0.058927 + 0.625283I
a = 0.34921 + 3.43728I
b = −0.051144 − 1.168570I
1.66182 + 0.94904I 6.01411 + 1.61609I
u = 0.058927 − 0.625283I
a = 0.34921 − 3.43728I
b = −0.051144 + 1.168570I
1.66182 − 0.94904I 6.01411 − 1.61609I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.52872 + 1.31266I
a = −0.389708 − 0.475511I
b = 0.246586 + 0.259014I
5.09873 − 2.69688I −4.75500 + 0.I
u = −0.52872 − 1.31266I
a = −0.389708 + 0.475511I
b = 0.246586 − 0.259014I
5.09873 + 2.69688I −4.75500 + 0.I
u = 0.528197 + 0.161608I
a = −0.929021 + 0.793418I
b = −0.433617 − 0.638695I
−1.24566 − 1.60816I −7.91591 + 5.99283I
u = 0.528197 − 0.161608I
a = −0.929021 − 0.793418I
b = −0.433617 + 0.638695I
−1.24566 + 1.60816I −7.91591 − 5.99283I
u = 0.69579 + 1.32881I
a = −0.48382 + 1.50506I
b = −0.23148 − 1.45322I
6.16390 − 5.67858I 3.45662 + 10.96003I
u = 0.69579 − 1.32881I
a = −0.48382 − 1.50506I
b = −0.23148 + 1.45322I
6.16390 + 5.67858I 3.45662 − 10.96003I
u = 0.283930 + 0.319290I
a = −0.75816 + 2.23407I
b = −0.154581 + 0.400222I
−0.83483 + 1.58177I −9.48463 − 2.29600I
u = 0.283930 − 0.319290I
a = −0.75816 − 2.23407I
b = −0.154581 − 0.400222I
−0.83483 − 1.58177I −9.48463 + 2.29600I
u = −0.68674 + 1.70913I
a = −0.46684 − 1.83307I
b = 0.04176 + 1.50578I
11.32130 − 3.52882I 0
u = −0.68674 − 1.70913I
a = −0.46684 + 1.83307I
b = 0.04176 − 1.50578I
11.32130 + 3.52882I 0
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 9u
29
+ ··· − 5u + 11)
· (u
124
+ 30u
122
+ ··· + 85438383u + 36885536)
c
2
(u
30
− u
29
+ ··· + 18u
2
+ 4)
· (u
124
− 29u
122
+ ··· − 23801512u + 5726284)
c
3
(u
30
− 5u
29
+ ··· − u + 1)(u
124
+ 4u
122
+ ··· − 31546u + 3791)
c
4
, c
5
(u
30
− 3u
29
+ ··· + 5u
2
+ 1)(u
124
− 4u
123
+ ··· − 975u + 79)
c
6
(u
30
− u
29
+ ··· − 10u
2
+ 1)(u
124
+ 2u
123
+ ··· + 597u + 931)
c
7
(u
30
+ 3u
28
+ ··· − 6u + 1)(u
124
+ u
123
+ ··· + 73728u + 8192)
c
8
(u
30
+ 3u
29
+ ··· + 5u
2
+ 1)(u
124
− 4u
123
+ ··· − 975u + 79)
c
9
(u
30
− u
29
+ ··· − 32u + 4)(u
124
− 8u
123
+ ··· − 560u + 32)
c
10
(u
30
+ 3u
28
+ ··· + 37u + 13)(u
124
− u
123
+ ··· − 2248365u + 240002)
c
11
(u
30
+ u
29
+ ··· − 10u
2
+ 1)(u
124
+ 2u
123
+ ··· + 597u + 931)
c
12
(u
30
+ u
29
+ ··· + 32u + 4)(u
124
− 8u
123
+ ··· − 560u + 32)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
30
+ 15y
29
+ ··· − 861y + 121)
· (y
124
+ 60y
123
+ ··· + 72974396355643039y + 1360542766007296)
c
2
(y
30
− 11y
29
+ ··· + 144y + 16)
· (y
124
− 58y
123
+ ··· − 1243275573737328y + 32790328448656)
c
3
(y
30
− 9y
29
+ ··· + 11y + 1)
· (y
124
+ 8y
123
+ ··· + 534025554y + 14371681)
c
4
, c
5
, c
8
(y
30
+ 35y
29
+ ··· + 10y + 1)(y
124
+ 136y
123
+ ··· + 320169y + 6241)
c
6
, c
11
(y
30
− 15y
29
+ ··· − 20y + 1)
· (y
124
− 74y
123
+ ··· − 23962845y + 866761)
c
7
(y
30
+ 6y
29
+ ··· − 4y + 1)
· (y
124
− 21y
123
+ ··· − 5939134464y + 67108864)
c
9
, c
12
(y
30
+ 31y
29
+ ··· + 144y + 16)
· (y
124
+ 108y
123
+ ··· + 87808y + 1024)
c
10
(y
30
+ 6y
29
+ ··· + 763y + 169)
· (y
124
+ 51y
123
+ ··· + 13203890664139y + 57600960004)
25
