12a
1173
(K12a
1173
)
A knot diagram
1
Linearized knot diagam
4 10 7 11 9 1 3 12 5 2 6 8
Solving Sequence
3,8
7
1,4
6 12 9 5 10 2 11
c
7
c
3
c
6
c
12
c
8
c
5
c
9
c
2
c
11
c
1
, c
4
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−115544486760242u
28
+ 112064365539712u
27
+ ··· + 3495407185462b 11587431516889,
244809699887266u
28
271674151669112u
27
+ ··· + 10486221556386a + 8547110162663,
2u
29
2u
28
+ ··· + u + 1i
I
u
2
= h−1.17039 × 10
521
u
113
2.71734 × 10
521
u
112
+ ··· + 6.71963 × 10
521
b + 1.06384 × 10
525
,
1.20930 × 10
526
u
113
+ 4.51340 × 10
526
u
112
+ ··· + 7.27729 × 10
526
a + 9.87445 × 10
530
,
2u
114
+ 6u
113
+ ··· + 736731u + 108299i
I
u
3
= h−78u
9
66u
8
309u
7
66u
6
467u
5
40u
4
324u
3
+ 16u
2
+ 23b 118u + 11,
50u
9
+ 60u
8
+ 191u
7
+ 83u
6
+ 228u
5
+ 74u
4
+ 121u
3
2u
2
+ 23a + 55u 10,
2u
10
+ 2u
9
+ 9u
8
+ 4u
7
+ 16u
6
+ 5u
5
+ 14u
4
+ 3u
3
+ 7u
2
+ u + 1i
I
u
4
= h3331518u
17
+ 402774u
16
+ ··· + 504688b 1213603,
10659510u
17
+ 6709470u
16
+ ··· + 504688a + 4961241, 2u
18
+ 6u
16
+ ··· 3u + 1i
* 4 irreducible components of dim
C
= 0, with total 171 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
= h−1.16×10
14
u
28
+1.12×10
14
u
27
+· · ·+3.50×10
12
b1.16×10
13
, 2.45×
10
14
u
28
2.72×10
14
u
27
+· · ·+1.05×10
13
a+8.55×10
12
, 2u
29
2u
28
+· · ·+u+1i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
7
=
1
u
2
a
1
=
23.3458u
28
+ 25.9077u
27
+ ··· 24.2799u 0.815080
33.0561u
28
32.0605u
27
+ ··· + 36.7864u + 3.31504
a
4
=
u
u
3
+ u
a
6
=
6.98329u
28
3.30384u
27
+ ··· + 5.42111u + 3.00882
5.19262u
28
30.1366u
27
+ ··· 9.99582u 22.2338
a
12
=
9.71024u
28
6.15274u
27
+ ··· + 12.5066u + 2.49996
33.0561u
28
32.0605u
27
+ ··· + 36.7864u + 3.31504
a
9
=
6.54769u
28
+ 34.9638u
27
+ ··· + 13.3331u + 27.2899
9.17085u
28
+ 32.9069u
27
+ ··· + 6.34418u + 19.8937
a
5
=
9.71024u
28
+ 6.15274u
27
+ ··· 12.5066u 2.49996
44.2855u
28
+ 32.3420u
27
+ ··· 56.2713u 16.4508
a
10
=
1
10.8221u
28
55.7517u
27
+ ··· 25.3655u 43.2633
a
2
=
u
44.9296u
28
43.2994u
27
+ ··· + 49.6743u + 5.41107
a
11
=
u
2
1
9.19197u
28
+ 30.7757u
27
+ ··· + 8.31175u + 20.7985
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
182509966010848
1747703592731
u
28
+
211508404855216
1747703592731
u
27
+ ···
167107576397767
1747703592731
u
1848186597135
1747703592731
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
29
7u
28
+ ··· + 288u 88
c
2
, c
3
, c
7
c
10
2(2u
29
2u
28
+ ··· + u + 1)
c
4
, c
6
u
29
+ 2u
28
+ ··· + 28u + 2
c
5
, c
8
, c
9
c
12
u
29
+ 14u
27
+ ··· + 7u + 1
c
11
4(4u
29
+ 80u
28
+ ··· + 1844u + 104)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
29
13y
28
+ ··· + 2336y 7744
c
2
, c
3
, c
7
c
10
4(4y
29
+ 56y
28
+ ··· 11y 1)
c
4
, c
6
y
29
2y
28
+ ··· + 156y 4
c
5
, c
8
, c
9
c
12
y
29
+ 28y
28
+ ··· 23y 1
c
11
16(16y
29
24y
28
+ ··· 5040y 10816)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.614826 + 0.850857I
a = 1.81142 0.42202I
b = 0.032852 1.262430I
4.41811 + 4.54585I 0.45562 6.52820I
u = 0.614826 0.850857I
a = 1.81142 + 0.42202I
b = 0.032852 + 1.262430I
4.41811 4.54585I 0.45562 + 6.52820I
u = 0.655035 + 0.842071I
a = 1.107760 0.777899I
b = 0.21309 1.41045I
4.65613 + 5.31778I 0.68850 5.52713I
u = 0.655035 0.842071I
a = 1.107760 + 0.777899I
b = 0.21309 + 1.41045I
4.65613 5.31778I 0.68850 + 5.52713I
u = 0.523123 + 0.947153I
a = 2.24569 + 0.18671I
b = 0.57260 1.42544I
4.95066 10.99740I 2.56166 + 11.07052I
u = 0.523123 0.947153I
a = 2.24569 0.18671I
b = 0.57260 + 1.42544I
4.95066 + 10.99740I 2.56166 11.07052I
u = 1.075760 + 0.138675I
a = 0.175885 + 0.502122I
b = 0.352141 + 1.353960I
7.43832 7.27144I 1.54133 + 6.09063I
u = 1.075760 0.138675I
a = 0.175885 0.502122I
b = 0.352141 1.353960I
7.43832 + 7.27144I 1.54133 6.09063I
u = 0.415146 + 0.770962I
a = 1.45156 1.38441I
b = 0.123319 0.160384I
5.19900 3.27887I 11.5569 9.3645I
u = 0.415146 0.770962I
a = 1.45156 + 1.38441I
b = 0.123319 + 0.160384I
5.19900 + 3.27887I 11.5569 + 9.3645I
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.227409 + 0.725395I
a = 1.31024 1.59568I
b = 0.516550 + 1.035240I
0.017310 + 0.877054I 1.61037 4.73307I
u = 0.227409 0.725395I
a = 1.31024 + 1.59568I
b = 0.516550 1.035240I
0.017310 0.877054I 1.61037 + 4.73307I
u = 0.025164 + 0.735565I
a = 0.43474 1.50702I
b = 0.513005 + 0.763820I
0.77973 + 1.38398I 8.48794 5.27599I
u = 0.025164 0.735565I
a = 0.43474 + 1.50702I
b = 0.513005 0.763820I
0.77973 1.38398I 8.48794 + 5.27599I
u = 0.059260 + 0.726815I
a = 0.282978 + 0.091872I
b = 0.25912 1.55543I
7.47471 + 4.30695I 11.81657 0.82827I
u = 0.059260 0.726815I
a = 0.282978 0.091872I
b = 0.25912 + 1.55543I
7.47471 4.30695I 11.81657 + 0.82827I
u = 0.710709 + 0.024669I
a = 0.487463 + 0.385541I
b = 0.250282 + 1.341540I
8.75165 3.48954I 8.31054 + 1.44290I
u = 0.710709 0.024669I
a = 0.487463 0.385541I
b = 0.250282 1.341540I
8.75165 + 3.48954I 8.31054 1.44290I
u = 0.459295 + 1.237870I
a = 1.184610 + 0.482592I
b = 1.000480 0.171236I
7.99683 8.14911I 10.73836 + 6.19923I
u = 0.459295 1.237870I
a = 1.184610 0.482592I
b = 1.000480 + 0.171236I
7.99683 + 8.14911I 10.73836 6.19923I
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.250255 + 0.609768I
a = 0.770157 0.896085I
b = 0.130156 + 0.455636I
0.350225 + 1.202200I 4.57835 5.00012I
u = 0.250255 0.609768I
a = 0.770157 + 0.896085I
b = 0.130156 0.455636I
0.350225 1.202200I 4.57835 + 5.00012I
u = 0.318927 + 1.305940I
a = 0.787258 + 0.052338I
b = 0.715675 0.324946I
5.46268 + 3.60772I 9.35937 1.61077I
u = 0.318927 1.305940I
a = 0.787258 0.052338I
b = 0.715675 + 0.324946I
5.46268 3.60772I 9.35937 + 1.61077I
u = 0.579661
a = 0.252022
b = 0.638394
1.37550 6.88940
u = 0.69132 + 1.31132I
a = 1.48227 + 0.09504I
b = 0.56132 + 1.48679I
0.7136 + 20.0065I 4.00000 9.96305I
u = 0.69132 1.31132I
a = 1.48227 0.09504I
b = 0.56132 1.48679I
0.7136 20.0065I 4.00000 + 9.96305I
u = 0.85101 + 1.35931I
a = 0.871942 + 0.097388I
b = 0.116151 + 1.155240I
0.67242 9.43857I 0
u = 0.85101 1.35931I
a = 0.871942 0.097388I
b = 0.116151 1.155240I
0.67242 + 9.43857I 0
7
II. I
u
2
= h−1.17 × 10
521
u
113
2.72 × 10
521
u
112
+ · · · + 6.72 × 10
521
b + 1.06 ×
10
525
, 1.21 × 10
526
u
113
+ 4.51 × 10
526
u
112
+ · · · + 7.28 × 10
526
a + 9.87 ×
10
530
, 2u
114
+ 6u
113
+ · · · + 736731u + 108299i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
7
=
1
u
2
a
1
=
0.166174u
113
0.620203u
112
+ ··· 94124.0u 13568.9
0.174175u
113
+ 0.404389u
112
+ ··· + 2659.05u 1583.19
a
4
=
u
u
3
+ u
a
6
=
0.0792087u
113
+ 0.563456u
112
+ ··· + 138883.u + 21254.4
0.0708924u
113
0.0363600u
112
+ ··· + 46686.7u + 8040.54
a
12
=
0.00800084u
113
0.215814u
112
+ ··· 91464.9u 15152.0
0.174175u
113
+ 0.404389u
112
+ ··· + 2659.05u 1583.19
a
9
=
0.237032u
113
+ 0.756155u
112
+ ··· + 80973.6u + 10844.5
0.354824u
113
0.838718u
112
+ ··· 12173.2u + 1744.06
a
5
=
0.0419623u
113
+ 0.139445u
112
+ ··· + 22837.0u + 3067.57
0.0385641u
113
+ 0.0531971u
112
+ ··· + 58775.5u + 10032.2
a
10
=
0.126488u
113
+ 0.608984u
112
+ ··· + 116344.u + 17308.4
0.463953u
113
1.07744u
112
+ ··· + 2059.10u + 4902.34
a
2
=
0.0639770u
113
0.353488u
112
+ ··· 81552.2u 12773.1
0.224024u
113
+ 0.571443u
112
+ ··· + 24386.3u + 1371.92
a
11
=
0.0233106u
113
0.0451153u
112
+ ··· 30297.6u 4858.85
0.157360u
113
+ 0.448554u
112
+ ··· + 36582.0u + 4364.22
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.105130u
113
+ 1.38372u
112
+ ··· + 397259.u + 62539.0
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
16(4u
57
+ 6u
56
+ ··· 22975u + 8945)
2
c
2
, c
3
, c
7
c
10
2(2u
114
+ 6u
113
+ ··· + 736731u + 108299)
c
4
, c
6
4(4u
114
+ 2u
113
+ ··· 3039724u + 567304)
c
5
, c
8
, c
9
c
12
4(4u
114
+ 14u
113
+ ··· 637822u + 54653)
c
11
4(2u
57
38u
56
+ ··· + 406u 92)
2
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
256(16y
57
524y
56
+ ··· + 1.04498 × 10
9
y 8.00130 × 10
7
)
2
c
2
, c
3
, c
7
c
10
4(4y
114
+ 268y
113
+ ··· + 3.51248 × 10
11
y + 1.17287 × 10
10
)
c
4
, c
6
16(16y
114
332y
113
+ ··· 4.50831 × 10
12
y + 3.21834 × 10
11
)
c
5
, c
8
, c
9
c
12
16(16y
114
+ 1428y
113
+ ··· + 1.03421 × 10
11
y + 2.98695 × 10
9
)
c
11
16(4y
57
528y
56
+ ··· 73076y 8464)
2
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.269847 + 0.952995I
a = 0.454417 1.171110I
b = 0.14876 1.41613I
3.17562 9.65423I 0
u = 0.269847 0.952995I
a = 0.454417 + 1.171110I
b = 0.14876 + 1.41613I
3.17562 + 9.65423I 0
u = 0.202164 + 0.999114I
a = 0.967765 + 0.854284I
b = 0.01178 1.98335I
0.60991 + 3.57237I 0
u = 0.202164 0.999114I
a = 0.967765 0.854284I
b = 0.01178 + 1.98335I
0.60991 3.57237I 0
u = 0.303790 + 0.974322I
a = 2.13848 + 0.98918I
b = 0.041504 1.128250I
5.72371 + 0.79483I 0
u = 0.303790 0.974322I
a = 2.13848 0.98918I
b = 0.041504 + 1.128250I
5.72371 0.79483I 0
u = 0.135657 + 1.012190I
a = 0.746569 + 0.775785I
b = 0.21452 1.86553I
1.11782 2.58270I 0
u = 0.135657 1.012190I
a = 0.746569 0.775785I
b = 0.21452 + 1.86553I
1.11782 + 2.58270I 0
u = 0.608616 + 0.866795I
a = 0.818576 + 0.314720I
b = 0.368716 0.284473I
0.78988 + 3.41934I 0
u = 0.608616 0.866795I
a = 0.818576 0.314720I
b = 0.368716 + 0.284473I
0.78988 3.41934I 0
11
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.499580 + 0.794666I
a = 1.50559 + 0.34671I
b = 0.211656 + 1.076350I
4.66861 0.59103I 0
u = 0.499580 0.794666I
a = 1.50559 0.34671I
b = 0.211656 1.076350I
4.66861 + 0.59103I 0
u = 0.512449 + 0.931527I
a = 0.628525 0.989973I
b = 0.411271 + 0.248868I
0.248444 + 0.893625I 0
u = 0.512449 0.931527I
a = 0.628525 + 0.989973I
b = 0.411271 0.248868I
0.248444 0.893625I 0
u = 0.274156 + 0.895075I
a = 0.73419 1.38691I
b = 1.15128 + 1.00015I
0.65089 + 1.29086I 0
u = 0.274156 0.895075I
a = 0.73419 + 1.38691I
b = 1.15128 1.00015I
0.65089 1.29086I 0
u = 0.639775 + 0.678349I
a = 0.0173533 + 0.0981531I
b = 0.40312 + 1.47066I
5.79095 + 6.43815I 0
u = 0.639775 0.678349I
a = 0.0173533 0.0981531I
b = 0.40312 1.47066I
5.79095 6.43815I 0
u = 0.727631 + 0.781321I
a = 0.413931 + 0.656588I
b = 0.017270 + 1.375720I
4.66861 + 0.59103I 0
u = 0.727631 0.781321I
a = 0.413931 0.656588I
b = 0.017270 1.375720I
4.66861 0.59103I 0
12
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.254184 + 0.893209I
a = 2.02221 0.02111I
b = 0.914814 0.962540I
0.78988 3.41934I 0
u = 0.254184 0.893209I
a = 2.02221 + 0.02111I
b = 0.914814 + 0.962540I
0.78988 + 3.41934I 0
u = 1.050570 + 0.219509I
a = 0.343700 0.403947I
b = 0.366121 1.147950I
1.36923 + 7.49950I 0
u = 1.050570 0.219509I
a = 0.343700 + 0.403947I
b = 0.366121 + 1.147950I
1.36923 7.49950I 0
u = 0.328697 + 1.027290I
a = 1.80051 0.83068I
b = 0.57225 + 1.38497I
5.79095 6.43815I 0
u = 0.328697 1.027290I
a = 1.80051 + 0.83068I
b = 0.57225 1.38497I
5.79095 + 6.43815I 0
u = 1.089510 + 0.051120I
a = 0.083696 0.351087I
b = 0.973901 0.031902I
0.29771 + 7.90864I 0
u = 1.089510 0.051120I
a = 0.083696 + 0.351087I
b = 0.973901 + 0.031902I
0.29771 7.90864I 0
u = 0.805306 + 0.407746I
a = 0.120067 + 0.511777I
b = 0.086599 + 1.188460I
3.71620 + 0.56369I 0
u = 0.805306 0.407746I
a = 0.120067 0.511777I
b = 0.086599 1.188460I
3.71620 0.56369I 0
13
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.227588 + 0.863126I
a = 1.33275 1.26196I
b = 0.126336 1.235830I
0.730066 + 1.121040I 0
u = 0.227588 0.863126I
a = 1.33275 + 1.26196I
b = 0.126336 + 1.235830I
0.730066 1.121040I 0
u = 0.714360 + 0.848060I
a = 1.38194 1.45675I
b = 0.046355 1.090810I
1.22961 + 1.97843I 0
u = 0.714360 0.848060I
a = 1.38194 + 1.45675I
b = 0.046355 + 1.090810I
1.22961 1.97843I 0
u = 0.152596 + 0.854738I
a = 1.72987 1.74019I
b = 0.23289 + 1.97407I
1.22961 1.97843I 0
u = 0.152596 0.854738I
a = 1.72987 + 1.74019I
b = 0.23289 1.97407I
1.22961 + 1.97843I 0
u = 0.438304 + 1.051400I
a = 0.663069 + 1.003590I
b = 0.117070 0.637643I
1.11782 + 2.58270I 0
u = 0.438304 1.051400I
a = 0.663069 1.003590I
b = 0.117070 + 0.637643I
1.11782 2.58270I 0
u = 0.476627 + 0.703719I
a = 0.491422 0.767595I
b = 0.153379 + 0.368263I
0.307545 + 1.204730I 0
u = 0.476627 0.703719I
a = 0.491422 + 0.767595I
b = 0.153379 0.368263I
0.307545 1.204730I 0
14
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.134989 + 0.833016I
a = 0.70388 + 1.62429I
b = 0.116285 + 1.396530I
6.63050 2.78915I 0
u = 0.134989 0.833016I
a = 0.70388 1.62429I
b = 0.116285 1.396530I
6.63050 + 2.78915I 0
u = 0.262181 + 0.800519I
a = 1.32511 2.02014I
b = 0.309262 + 0.843087I
0.65089 + 1.29086I 0
u = 0.262181 0.800519I
a = 1.32511 + 2.02014I
b = 0.309262 0.843087I
0.65089 1.29086I 0
u = 0.138708 + 1.154120I
a = 1.57473 + 0.14596I
b = 0.516994 0.353868I
7.43093 + 1.19734I 0
u = 0.138708 1.154120I
a = 1.57473 0.14596I
b = 0.516994 + 0.353868I
7.43093 1.19734I 0
u = 0.290673 + 0.784882I
a = 2.92369 1.31324I
b = 0.153537 + 1.114890I
3.71183 + 7.16441I 0
u = 0.290673 0.784882I
a = 2.92369 + 1.31324I
b = 0.153537 1.114890I
3.71183 7.16441I 0
u = 0.396517 + 1.109790I
a = 1.36733 0.55826I
b = 0.804615 0.047505I
4.35688 3.64176I 0
u = 0.396517 1.109790I
a = 1.36733 + 0.55826I
b = 0.804615 + 0.047505I
4.35688 + 3.64176I 0
15
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.507893 + 1.105140I
a = 1.69396 + 0.25491I
b = 0.312508 1.122750I
1.45770 + 4.31135I 0
u = 0.507893 1.105140I
a = 1.69396 0.25491I
b = 0.312508 + 1.122750I
1.45770 4.31135I 0
u = 0.776862 + 0.044248I
a = 0.031768 + 0.204009I
b = 0.770286 0.232540I
2.50837 + 3.21519I 0
u = 0.776862 0.044248I
a = 0.031768 0.204009I
b = 0.770286 + 0.232540I
2.50837 3.21519I 0
u = 1.100660 + 0.558488I
a = 0.228560 + 0.314432I
b = 0.53991 + 1.37972I
5.72371 + 0.79483I 0
u = 1.100660 0.558488I
a = 0.228560 0.314432I
b = 0.53991 1.37972I
5.72371 0.79483I 0
u = 0.723958 + 0.240961I
a = 0.327411 + 0.783316I
b = 0.248028 + 1.247630I
2.50837 + 3.21519I 0
u = 0.723958 0.240961I
a = 0.327411 0.783316I
b = 0.248028 1.247630I
2.50837 3.21519I 0
u = 0.752146 + 0.001836I
a = 0.565476 + 0.655596I
b = 0.651317 + 0.132198I
4.35688 + 3.64176I 0
u = 0.752146 0.001836I
a = 0.565476 0.655596I
b = 0.651317 0.132198I
4.35688 3.64176I 0
16
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.692654 + 1.038870I
a = 1.28910 + 0.98304I
b = 0.111811 + 1.134040I
0.60991 + 3.57237I 0
u = 0.692654 1.038870I
a = 1.28910 0.98304I
b = 0.111811 1.134040I
0.60991 3.57237I 0
u = 0.135858 + 1.263750I
a = 1.39930 + 0.46166I
b = 1.82874 0.63070I
0.730066 1.121040I 0
u = 0.135858 1.263750I
a = 1.39930 0.46166I
b = 1.82874 + 0.63070I
0.730066 + 1.121040I 0
u = 0.506423 + 1.176940I
a = 1.82707 + 0.09466I
b = 0.382588 1.277370I
0.29771 7.90864I 0
u = 0.506423 1.176940I
a = 1.82707 0.09466I
b = 0.382588 + 1.277370I
0.29771 + 7.90864I 0
u = 0.332530 + 1.241660I
a = 1.71797 0.47619I
b = 0.279984 + 1.140460I
4.93312 1.87905I 0
u = 0.332530 1.241660I
a = 1.71797 + 0.47619I
b = 0.279984 1.140460I
4.93312 + 1.87905I 0
u = 0.084997 + 1.286250I
a = 0.373159 + 0.455872I
b = 0.348667 + 0.426737I
0.89150 1.17997I 0
u = 0.084997 1.286250I
a = 0.373159 0.455872I
b = 0.348667 0.426737I
0.89150 + 1.17997I 0
17
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.251140 + 0.337108I
a = 0.067057 0.443266I
b = 0.49018 1.34558I
3.88006 13.20040I 0
u = 1.251140 0.337108I
a = 0.067057 + 0.443266I
b = 0.49018 + 1.34558I
3.88006 + 13.20040I 0
u = 0.414775 + 1.244710I
a = 1.39266 0.31965I
b = 1.123500 0.249487I
1.36923 + 7.49950I 0
u = 0.414775 1.244710I
a = 1.39266 + 0.31965I
b = 1.123500 + 0.249487I
1.36923 7.49950I 0
u = 0.032205 + 0.686320I
a = 1.37618 0.97227I
b = 0.159236 + 0.794796I
0.307545 + 1.204730I 0
u = 0.032205 0.686320I
a = 1.37618 + 0.97227I
b = 0.159236 0.794796I
0.307545 1.204730I 0
u = 0.695730 + 1.149490I
a = 1.59345 0.21527I
b = 0.59579 1.54513I
3.71183 7.16441I 0
u = 0.695730 1.149490I
a = 1.59345 + 0.21527I
b = 0.59579 + 1.54513I
3.71183 + 7.16441I 0
u = 0.201141 + 1.333930I
a = 1.234210 + 0.028659I
b = 0.987852 0.168281I
7.13509 + 2.80115I 0
u = 0.201141 1.333930I
a = 1.234210 0.028659I
b = 0.987852 + 0.168281I
7.13509 2.80115I 0
18
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.348460 + 0.535286I
a = 1.51376 0.80378I
b = 0.032339 + 1.285790I
0.248444 + 0.893625I 4.00000 + 0.I
u = 0.348460 0.535286I
a = 1.51376 + 0.80378I
b = 0.032339 1.285790I
0.248444 0.893625I 4.00000 + 0.I
u = 0.619940 + 0.068269I
a = 0.94263 1.29838I
b = 0.786565 + 0.165405I
1.45770 4.31135I 0. + 2.19517I
u = 0.619940 0.068269I
a = 0.94263 + 1.29838I
b = 0.786565 0.165405I
1.45770 + 4.31135I 0. 2.19517I
u = 0.566183 + 1.256020I
a = 1.026750 + 0.457633I
b = 0.576607 + 0.746191I
7.43093 1.19734I 0
u = 0.566183 1.256020I
a = 1.026750 0.457633I
b = 0.576607 0.746191I
7.43093 + 1.19734I 0
u = 1.332700 + 0.380742I
a = 0.229638 0.353499I
b = 0.677129 1.124840I
6.63050 + 2.78915I 0
u = 1.332700 0.380742I
a = 0.229638 + 0.353499I
b = 0.677129 + 1.124840I
6.63050 2.78915I 0
u = 0.606113 + 1.262540I
a = 1.63703 + 0.01704I
b = 0.486686 + 1.244560I
4.6052 13.3959I 0
u = 0.606113 1.262540I
a = 1.63703 0.01704I
b = 0.486686 1.244560I
4.6052 + 13.3959I 0
19
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.50486 + 1.32907I
a = 1.236840 + 0.406522I
b = 1.370800 + 0.225505I
4.6052 + 13.3959I 0
u = 0.50486 1.32907I
a = 1.236840 0.406522I
b = 1.370800 0.225505I
4.6052 13.3959I 0
u = 0.49072 + 1.33493I
a = 0.295303 0.100102I
b = 0.042947 0.432534I
2.96286 8.46461I 0
u = 0.49072 1.33493I
a = 0.295303 + 0.100102I
b = 0.042947 + 0.432534I
2.96286 + 8.46461I 0
u = 0.59484 + 1.29443I
a = 1.54923 + 0.08614I
b = 0.49258 1.44320I
3.88006 + 13.20040I 0
u = 0.59484 1.29443I
a = 1.54923 0.08614I
b = 0.49258 + 1.44320I
3.88006 13.20040I 0
u = 0.23247 + 1.41057I
a = 0.472843 + 0.423277I
b = 0.430530 0.795028I
7.13509 + 2.80115I 0
u = 0.23247 1.41057I
a = 0.472843 0.423277I
b = 0.430530 + 0.795028I
7.13509 2.80115I 0
u = 1.40634 + 0.27473I
a = 0.010854 0.360046I
b = 0.260719 0.957000I
0.89150 1.17997I 0
u = 1.40634 0.27473I
a = 0.010854 + 0.360046I
b = 0.260719 + 0.957000I
0.89150 + 1.17997I 0
20
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.63917 + 1.33471I
a = 1.306030 + 0.061707I
b = 0.72964 + 1.50955I
3.17562 9.65423I 0
u = 0.63917 1.33471I
a = 1.306030 0.061707I
b = 0.72964 1.50955I
3.17562 + 9.65423I 0
u = 0.48292 + 1.42125I
a = 1.198890 0.267219I
b = 0.501146 + 1.233500I
3.80319 + 8.07552I 0
u = 0.48292 1.42125I
a = 1.198890 + 0.267219I
b = 0.501146 1.233500I
3.80319 8.07552I 0
u = 0.01154 + 1.52929I
a = 0.582044 + 0.231167I
b = 0.648913 0.933133I
3.80319 8.07552I 0
u = 0.01154 1.52929I
a = 0.582044 0.231167I
b = 0.648913 + 0.933133I
3.80319 + 8.07552I 0
u = 0.67099 + 1.38880I
a = 1.069500 + 0.040208I
b = 0.521165 + 1.171010I
2.96286 + 8.46461I 0
u = 0.67099 1.38880I
a = 1.069500 0.040208I
b = 0.521165 1.171010I
2.96286 8.46461I 0
u = 0.45543 + 1.48247I
a = 0.949508 + 0.232591I
b = 1.089000 + 0.682494I
4.93312 1.87905I 0
u = 0.45543 1.48247I
a = 0.949508 0.232591I
b = 1.089000 0.682494I
4.93312 + 1.87905I 0
21
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.267353 + 0.250510I
a = 2.27623 0.16376I
b = 0.502235 + 0.318054I
3.71620 0.56369I 3.06900 + 2.63313I
u = 0.267353 0.250510I
a = 2.27623 + 0.16376I
b = 0.502235 0.318054I
3.71620 + 0.56369I 3.06900 2.63313I
u = 2.48003 + 2.46203I
a = 0.0988792 0.0264387I
b = 0.006974 1.029580I
1.71324 0
u = 2.48003 2.46203I
a = 0.0988792 + 0.0264387I
b = 0.006974 + 1.029580I
1.71324 0
22
III. I
u
3
= h−78u
9
66u
8
+ · · · + 23b + 11, 50u
9
+ 60u
8
+ · · · + 23a
10, 2u
10
+ 2u
9
+ · · · + u + 1i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
7
=
1
u
2
a
1
=
2.17391u
9
2.60870u
8
+ ··· 2.39130u + 0.434783
3.39130u
9
+ 2.86957u
8
+ ··· + 5.13043u 0.478261
a
4
=
u
u
3
+ u
a
6
=
1.21739u
9
0.260870u
8
+ ··· 2.73913u + 0.0434783
0.347826u
9
+ 1.21739u
8
+ ··· + 2.78261u + 3.13043
a
12
=
1.21739u
9
+ 0.260870u
8
+ ··· + 2.73913u 0.0434783
3.39130u
9
+ 2.86957u
8
+ ··· + 5.13043u 0.478261
a
9
=
0
1.56522u
9
1.47826u
8
+ ··· 3.52174u 3.08696
a
5
=
1.21739u
9
0.260870u
8
+ ··· 2.73913u + 0.0434783
5.39130u
9
+ 4.86957u
8
+ ··· + 12.1304u + 0.521739
a
10
=
1
2.26087u
9
+ 5.91304u
8
+ ··· + 4.08696u + 5.34783
a
2
=
u
3.65217u
9
+ 2.78261u
8
+ ··· + 5.21739u 1.13043
a
11
=
u
2
1
1.39130u
9
+ 2.86957u
8
+ ··· + 1.13043u + 3.52174
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
156
23
u
9
+
282
23
u
8
342
23
u
7
+
1317
23
u
6
865
23
u
5
+
1990
23
u
4
602
23
u
3
+
1067
23
u
2
236
23
u +
321
23
23
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
10
+ 2u
9
u
8
3u
7
+ 2u
6
+ 2u
5
+ 11u
4
+ 6u
3
20u
2
7u + 23
c
2
, c
7
2(2u
10
+ 2u
9
+ 9u
8
+ 4u
7
+ 16u
6
+ 5u
5
+ 14u
4
+ 3u
3
+ 7u
2
+ u + 1)
c
3
, c
10
2(2u
10
2u
9
+ 9u
8
4u
7
+ 16u
6
5u
5
+ 14u
4
3u
3
+ 7u
2
u + 1)
c
4
, c
6
u
10
2u
9
+ 3u
8
5u
7
+ 5u
6
7u
5
+ 7u
4
9u
3
+ 9u
2
+ 2
c
5
, c
8
u
10
+ 4u
8
2u
7
+ 7u
6
4u
5
+ 8u
4
3u
3
+ 3u
2
+ u + 1
c
9
, c
12
u
10
+ 4u
8
+ 2u
7
+ 7u
6
+ 4u
5
+ 8u
4
+ 3u
3
+ 3u
2
u + 1
c
11
4(4u
10
+ 20u
9
+ ··· + 10u + 1)
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
10
6y
9
+ ··· 969y + 529
c
2
, c
3
, c
7
c
10
4(4y
10
+ 32y
9
+ ··· + 13y + 1)
c
4
, c
6
y
10
+ 2y
9
y
8
9y
7
21y
6
11y
5
+ 25y
4
+ 65y
3
+ 109y
2
+ 36y + 4
c
5
, c
8
, c
9
c
12
y
10
+ 8y
9
+ ··· + 5y + 1
c
11
16(16y
10
+ 24y
9
+ ··· + 158y
2
+ 1)
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
1(vol +
1CS) Cusp shape
u = 0.431854 + 0.831893I
a = 1.52947 0.07298I
b = 0.721595 0.610328I
0.33257 + 3.89498I 0.30852 8.02734I
u = 0.431854 0.831893I
a = 1.52947 + 0.07298I
b = 0.721595 + 0.610328I
0.33257 3.89498I 0.30852 + 8.02734I
u = 0.254819 + 1.050750I
a = 0.939956 + 0.605767I
b = 0.620568 1.248150I
1.30189 + 1.68166I 4.66605 4.03286I
u = 0.254819 1.050750I
a = 0.939956 0.605767I
b = 0.620568 + 1.248150I
1.30189 1.68166I 4.66605 + 4.03286I
u = 0.439885 + 0.804957I
a = 1.53896 1.35778I
b = 0.274494 0.376479I
5.13373 3.53785I 4.1096 + 19.1811I
u = 0.439885 0.804957I
a = 1.53896 + 1.35778I
b = 0.274494 + 0.376479I
5.13373 + 3.53785I 4.1096 19.1811I
u = 0.096409 + 0.457489I
a = 0.395843 0.855762I
b = 0.27689 + 1.50033I
7.88010 + 4.38705I 7.35957 4.51608I
u = 0.096409 0.457489I
a = 0.395843 + 0.855762I
b = 0.27689 1.50033I
7.88010 4.38705I 7.35957 + 4.51608I
u = 0.65038 + 1.49126I
a = 0.845283 0.119165I
b = 0.450354 + 0.968258I
2.75684 10.10800I 4.77544 + 10.51016I
u = 0.65038 1.49126I
a = 0.845283 + 0.119165I
b = 0.450354 0.968258I
2.75684 + 10.10800I 4.77544 10.51016I
26
IV.
I
u
4
= h3.33 × 10
6
u
17
+ 4.03 × 10
5
u
16
+ · · · + 5.05 × 10
5
b 1.21 × 10
6
, 1.07 ×
10
7
u
17
+6.71×10
6
u
16
+· · ·+5.05×10
5
a+4.96×10
6
, 2u
18
+6u
16
+· · ·3u+1i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
7
=
1
u
2
a
1
=
21.1210u
17
13.2943u
16
+ ··· 15.7898u 9.83031
6.60114u
17
0.798065u
16
+ ··· 18.3506u + 2.40466
a
4
=
u
u
3
+ u
a
6
=
1.59311u
17
7.84358u
16
+ ··· 5.42476u + 0.738603
3.83759u
17
2.90683u
16
+ ··· + 12.4540u 2.20450
a
12
=
27.7221u
17
14.0924u
16
+ ··· 34.1404u 7.42565
6.60114u
17
0.798065u
16
+ ··· 18.3506u + 2.40466
a
9
=
1.66945u
17
+ 8.20920u
16
+ ··· 1.24826u 2.64727
2.43364u
17
2.40023u
16
+ ··· + 3.84227u 3.10022
a
5
=
9.88211u
17
4.44784u
16
+ ··· + 40.9123u 4.55430
5.22509u
17
5.92277u
16
+ ··· + 15.4415u 6.18370
a
10
=
6.31429u
17
+ 8.33043u
16
+ ··· 12.4340u + 11.2752
7.36927u
17
1.59556u
16
+ ··· + 16.5171u 1.55656
a
2
=
18.0753u
17
9.82555u
16
+ ··· 19.9286u 6.68222
4.57844u
17
+ 0.440030u
16
+ ··· 18.8091u + 3.81838
a
11
=
26.0954u
17
+ 16.2682u
16
+ ··· + 27.8077u + 6.65337
16.0768u
17
+ 3.80150u
16
+ ··· + 24.9163u 3.47607
(ii) Obstruction class = 1
(iii) Cusp Shapes =
36934373
2018752
u
17
30983119
2018752
u
16
+ ··· +
44159023
2018752
u
74588385
4037504
27
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
16(4u
9
26u
8
+ ··· + u + 1)
2
c
2
, c
7
2(2u
18
+ 6u
16
+ ··· 3u + 1)
c
3
, c
10
2(2u
18
+ 6u
16
+ ··· + 3u + 1)
c
4
, c
6
4(4u
18
+ 22u
17
+ ··· + 28u + 8)
c
5
, c
8
4(4u
18
+ 6u
17
+ ··· 20u + 47)
c
9
, c
12
4(4u
18
6u
17
+ ··· + 20u + 47)
c
11
4(2u
9
6u
8
+ ··· + 22u 4)
2
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
256(16y
9
188y
8
+ ··· 31y 1)
2
c
2
, c
3
, c
7
c
10
4(4y
18
+ 24y
17
+ ··· + 15y + 1)
c
4
, c
6
16(16y
18
+ 4y
17
+ ··· + 784y + 64)
c
5
, c
8
, c
9
c
12
16(16y
18
+ 420y
17
+ ··· + 24792y + 2209)
c
11
16(4y
9
+ 32y
8
+ ··· + 76y 16)
2
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
1(vol +
1CS) Cusp shape
u = 0.421718 + 0.776594I
a = 0.49304 2.42958I
b = 0.030940 + 0.709490I
0.230088 + 1.347860I 1.9443 25.9345I
u = 0.421718 0.776594I
a = 0.49304 + 2.42958I
b = 0.030940 0.709490I
0.230088 1.347860I 1.9443 + 25.9345I
u = 0.117736 + 0.826368I
a = 0.59010 2.40128I
b = 0.21427 + 2.19046I
0.230088 1.347860I 1.9443 + 25.9345I
u = 0.117736 0.826368I
a = 0.59010 + 2.40128I
b = 0.21427 2.19046I
0.230088 + 1.347860I 1.9443 25.9345I
u = 1.195750 + 0.014001I
a = 0.344612 + 0.335405I
b = 0.094610 + 1.037910I
1.43408 0.41359I 2.48523 1.22365I
u = 1.195750 0.014001I
a = 0.344612 0.335405I
b = 0.094610 1.037910I
1.43408 + 0.41359I 2.48523 + 1.22365I
u = 1.171500 + 0.377550I
a = 0.360257 + 0.333036I
b = 0.615349 + 1.195200I
7.07414 + 2.62441I 6.92252 0.06689I
u = 1.171500 0.377550I
a = 0.360257 0.333036I
b = 0.615349 1.195200I
7.07414 2.62441I 6.92252 + 0.06689I
u = 0.366033 + 1.219850I
a = 1.279270 + 0.190010I
b = 0.436357 + 0.454408I
6.88433 7.65162 + 0.I
u = 0.366033 1.219850I
a = 1.279270 0.190010I
b = 0.436357 0.454408I
6.88433 7.65162 + 0.I
30
Solutions to I
u
4
1(vol +
1CS) Cusp shape
u = 0.034200 + 1.292780I
a = 0.280279 0.037043I
b = 0.390022 + 0.723001I
1.43408 + 0.41359I 2.48523 + 1.22365I
u = 0.034200 1.292780I
a = 0.280279 + 0.037043I
b = 0.390022 0.723001I
1.43408 0.41359I 2.48523 1.22365I
u = 0.587556 + 1.169110I
a = 1.59947 0.01046I
b = 0.65122 1.52267I
4.21116 8.47072I 1.83702 + 7.19956I
u = 0.587556 1.169110I
a = 1.59947 + 0.01046I
b = 0.65122 + 1.52267I
4.21116 + 8.47072I 1.83702 7.19956I
u = 0.170563 + 0.638981I
a = 0.95135 + 2.15558I
b = 0.138217 + 1.360040I
7.07414 + 2.62441I 6.92252 0.06689I
u = 0.170563 0.638981I
a = 0.95135 2.15558I
b = 0.138217 1.360040I
7.07414 2.62441I 6.92252 + 0.06689I
u = 0.185122 + 0.417776I
a = 2.38324 3.23985I
b = 0.268633 1.308700I
4.21116 + 8.47072I 1.83702 7.19956I
u = 0.185122 0.417776I
a = 2.38324 + 3.23985I
b = 0.268633 + 1.308700I
4.21116 8.47072I 1.83702 + 7.19956I
31
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
256
· (4u
9
26u
8
+ 61u
7
65u
6
+ 25u
5
+ 32u
4
47u
3
+ 16u
2
+ u + 1)
2
· (u
10
+ 2u
9
u
8
3u
7
+ 2u
6
+ 2u
5
+ 11u
4
+ 6u
3
20u
2
7u + 23)
· (u
29
7u
28
+ ··· + 288u 88)(4u
57
+ 6u
56
+ ··· 22975u + 8945)
2
c
2
, c
7
16(2u
10
+ 2u
9
+ 9u
8
+ 4u
7
+ 16u
6
+ 5u
5
+ 14u
4
+ 3u
3
+ 7u
2
+ u + 1)
· (2u
18
+ 6u
16
+ ··· 3u + 1)(2u
29
2u
28
+ ··· + u + 1)
· (2u
114
+ 6u
113
+ ··· + 736731u + 108299)
c
3
, c
10
16(2u
10
2u
9
+ 9u
8
4u
7
+ 16u
6
5u
5
+ 14u
4
3u
3
+ 7u
2
u + 1)
· (2u
18
+ 6u
16
+ ··· + 3u + 1)(2u
29
2u
28
+ ··· + u + 1)
· (2u
114
+ 6u
113
+ ··· + 736731u + 108299)
c
4
, c
6
16(u
10
2u
9
+ 3u
8
5u
7
+ 5u
6
7u
5
+ 7u
4
9u
3
+ 9u
2
+ 2)
· (4u
18
+ 22u
17
+ ··· + 28u + 8)(u
29
+ 2u
28
+ ··· + 28u + 2)
· (4u
114
+ 2u
113
+ ··· 3039724u + 567304)
c
5
, c
8
16(u
10
+ 4u
8
2u
7
+ 7u
6
4u
5
+ 8u
4
3u
3
+ 3u
2
+ u + 1)
· (4u
18
+ 6u
17
+ ··· 20u + 47)(u
29
+ 14u
27
+ ··· + 7u + 1)
· (4u
114
+ 14u
113
+ ··· 637822u + 54653)
c
9
, c
12
16(u
10
+ 4u
8
+ 2u
7
+ 7u
6
+ 4u
5
+ 8u
4
+ 3u
3
+ 3u
2
u + 1)
· (4u
18
6u
17
+ ··· + 20u + 47)(u
29
+ 14u
27
+ ··· + 7u + 1)
· (4u
114
+ 14u
113
+ ··· 637822u + 54653)
c
11
256
· (2u
9
6u
8
+ 17u
7
32u
6
+ 50u
5
63u
4
+ 64u
3
51u
2
+ 22u 4)
2
· (4u
10
+ 20u
9
+ ··· + 10u + 1)(4u
29
+ 80u
28
+ ··· + 1844u + 104)
· (2u
57
38u
56
+ ··· + 406u 92)
2
32
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
65536(16y
9
188y
8
+ ··· 31y 1)
2
· (y
10
6y
9
+ ··· 969y + 529)(y
29
13y
28
+ ··· + 2336y 7744)
· (16y
57
524y
56
+ ··· + 1044978965y 80013025)
2
c
2
, c
3
, c
7
c
10
256(4y
10
+ 32y
9
+ ··· + 13y + 1)(4y
18
+ 24y
17
+ ··· + 15y + 1)
· (4y
29
+ 56y
28
+ ··· 11y 1)
· (4y
114
+ 268y
113
+ ··· + 351248241323y + 11728673401)
c
4
, c
6
256
· (y
10
+ 2y
9
y
8
9y
7
21y
6
11y
5
+ 25y
4
+ 65y
3
+ 109y
2
+ 36y + 4)
· (16y
18
+ 4y
17
+ ··· + 784y + 64)(y
29
2y
28
+ ··· + 156y 4)
· (16y
114
332y
113
+ ··· 4508313907312y + 321833828416)
c
5
, c
8
, c
9
c
12
256(y
10
+ 8y
9
+ ··· + 5y + 1)
· (16y
18
+ 420y
17
+ ··· + 24792y + 2209)(y
29
+ 28y
28
+ ··· 23y 1)
· (16y
114
+ 1428y
113
+ ··· + 103420880972y + 2986950409)
c
11
65536(4y
9
+ 32y
8
+ ··· + 76y 16)
2
· (16y
10
+ 24y
9
+ ··· + 158y
2
+ 1)
· (16y
29
24y
28
+ ··· 5040y 10816)
· (4y
57
528y
56
+ ··· 73076y 8464)
2
33