12n
0799
(K12n
0799
)
A knot diagram
1
Linearized knot diagam
4 7 10 11 8 2 12 5 1 2 9 7
Solving Sequence
2,7 3,10
4 11 5 1 9 12 8 6
c
2
c
3
c
10
c
4
c
1
c
9
c
12
c
7
c
5
c
6
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h5.00355 × 10
780
u
109
+ 4.44505 × 10
780
u
108
+ ··· + 9.26593 × 10
783
b + 8.56922 × 10
784
,
4.02128 × 10
784
u
109
+ 2.31943 × 10
784
u
108
+ ··· + 2.42490 × 10
787
a − 8.43979 × 10
788
,
u
110
+ u
109
+ ··· + 73536u + 2617i
I
u
2
= h2.23748 × 10
66
u
40
− 3.11786 × 10
66
u
39
+ ··· + 5.39174 × 10
65
b − 5.51085 × 10
66
,
1.57158 × 10
65
u
40
− 2.36554 × 10
65
u
39
+ ··· + 8.04737 × 10
63
a − 3.17576 × 10
65
, u
41
− u
40
+ ··· − 3u − 1i
I
u
3
= hb + u − 1, a + u, u
2
− u + 1i
* 3 irreducible components of dim
C
= 0, with total 153 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h5.00 × 10
780
u
109
+ 4.45 × 10
780
u
108
+ · · · + 9.27 × 10
783
b + 8.57 ×
10
784
, 4.02 × 10
784
u
109
+ 2.32 × 10
784
u
108
+ · · · + 2.42 × 10
787
a − 8.44 ×
10
788
, u
110
+ u
109
+ · · · + 73536u + 2617i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
10
=
−0.00165833u
109
− 0.000956508u
108
+ ··· + 262.589u + 34.8048
−0.000539994u
109
− 0.000479720u
108
+ ··· − 211.157u − 9.24809
a
4
=
0.00355770u
109
+ 0.00302258u
108
+ ··· + 1068.05u + 35.8465
−0.0000360471u
109
− 0.0000574092u
108
+ ··· − 32.5756u − 1.98675
a
11
=
−0.00219832u
109
− 0.00143623u
108
+ ··· + 51.4314u + 25.5567
−0.000539994u
109
− 0.000479720u
108
+ ··· − 211.157u − 9.24809
a
5
=
−0.00184498u
109
− 0.00143087u
108
+ ··· − 165.261u + 12.2558
0.0000480912u
109
+ 0.0000500660u
108
+ ··· − 1.21923u + 0.337163
a
1
=
0.00130209u
109
+ 0.00107878u
108
+ ··· + 138.910u − 3.01710
−0.000105047u
109
− 0.0000969873u
108
+ ··· − 24.1334u − 1.41572
a
9
=
−0.00550803u
109
− 0.00459500u
108
+ ··· − 1781.60u − 71.4609
−0.000407303u
109
− 0.000383400u
108
+ ··· − 186.765u − 8.60675
a
12
=
0.00130209u
109
+ 0.00107878u
108
+ ··· + 138.910u − 3.01710
−0.000125326u
109
− 0.000111403u
108
+ ··· − 37.1469u − 2.00012
a
8
=
0.00422116u
109
+ 0.00367787u
108
+ ··· + 2016.89u + 100.317
0.0000745344u
109
+ 0.0000765968u
108
+ ··· + 24.9481u + 1.13426
a
6
=
−u
−u
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.00328476u
109
− 0.00285610u
108
+ ··· − 1147.32u − 43.1143
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
110
− 6u
109
+ ··· + 11u − 2
c
2
, c
6
u
110
+ u
109
+ ··· + 73536u + 2617
c
3
u
110
− 14u
108
+ ··· + 129540868u + 14647477
c
4
u
110
− 2u
109
+ ··· + 124018u − 36863
c
5
, c
8
u
110
+ 4u
109
+ ··· + 45870u + 9829
c
7
, c
12
u
110
+ 2u
109
+ ··· − 559427u − 79997
c
9
u
110
− u
109
+ ··· + 1686688u − 214604
c
10
u
110
− 7u
109
+ ··· + 20930122u + 5719333
c
11
u
110
+ 10u
109
+ ··· − 1755u − 172
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
110
− 26y
109
+ ··· + 279y + 4
c
2
, c
6
y
110
+ 83y
109
+ ··· − 338995270y + 6848689
c
3
y
110
− 28y
109
+ ··· − 7442649453513616y + 214548582465529
c
4
y
110
− 24y
109
+ ··· − 95798204714y + 1358880769
c
5
, c
8
y
110
+ 52y
109
+ ··· + 4273725646y + 96609241
c
7
, c
12
y
110
+ 102y
109
+ ··· + 299723255241y + 6399520009
c
9
y
110
+ 41y
109
+ ··· − 686133223824y + 46054876816
c
10
y
110
− 7y
109
+ ··· + 2976938625720080y + 32710769964889
c
11
y
110
− 34y
109
+ ··· − 926929y + 29584
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.805333 + 0.505294I
a = −0.596501 + 1.096150I
b = −0.958037 − 0.646584I
−4.47061 − 4.06371I 0
u = 0.805333 − 0.505294I
a = −0.596501 − 1.096150I
b = −0.958037 + 0.646584I
−4.47061 + 4.06371I 0
u = −0.859436 + 0.342612I
a = −0.210776 − 1.277940I
b = −0.0198737 + 0.1276830I
−3.05544 + 0.70231I 0
u = −0.859436 − 0.342612I
a = −0.210776 + 1.277940I
b = −0.0198737 − 0.1276830I
−3.05544 − 0.70231I 0
u = 0.873404 + 0.253930I
a = 0.708499 − 0.567565I
b = 0.657473 − 0.646755I
−1.54504 − 3.28756I 0
u = 0.873404 − 0.253930I
a = 0.708499 + 0.567565I
b = 0.657473 + 0.646755I
−1.54504 + 3.28756I 0
u = 0.653693 + 0.618652I
a = 0.559623 − 0.017173I
b = 0.70384 + 1.46278I
−2.36408 + 2.97680I 0
u = 0.653693 − 0.618652I
a = 0.559623 + 0.017173I
b = 0.70384 − 1.46278I
−2.36408 − 2.97680I 0
u = 0.863533 + 0.129494I
a = 0.335619 − 0.299751I
b = −0.655798 − 0.744240I
4.28650 + 2.21272I 0
u = 0.863533 − 0.129494I
a = 0.335619 + 0.299751I
b = −0.655798 + 0.744240I
4.28650 − 2.21272I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.558022 + 0.979364I
a = 1.35260 − 0.52830I
b = −0.224653 − 0.570124I
−0.50305 + 2.98066I 0
u = −0.558022 − 0.979364I
a = 1.35260 + 0.52830I
b = −0.224653 + 0.570124I
−0.50305 − 2.98066I 0
u = −0.222236 + 0.827366I
a = 1.268670 + 0.360216I
b = −0.429593 + 0.654843I
−0.031233 + 0.923019I 0
u = −0.222236 − 0.827366I
a = 1.268670 − 0.360216I
b = −0.429593 − 0.654843I
−0.031233 − 0.923019I 0
u = 0.298358 + 0.784801I
a = −0.43144 − 1.87688I
b = 0.278155 + 1.007320I
4.84274 − 0.88323I 0
u = 0.298358 − 0.784801I
a = −0.43144 + 1.87688I
b = 0.278155 − 1.007320I
4.84274 + 0.88323I 0
u = 0.288461 + 1.145320I
a = −1.72569 + 0.35399I
b = 0.754623 − 1.056690I
−0.75710 − 6.48578I 0
u = 0.288461 − 1.145320I
a = −1.72569 − 0.35399I
b = 0.754623 + 1.056690I
−0.75710 + 6.48578I 0
u = −0.393228 + 1.119820I
a = 0.943391 − 0.945950I
b = −0.489952 − 0.772510I
−0.92563 + 4.26359I 0
u = −0.393228 − 1.119820I
a = 0.943391 + 0.945950I
b = −0.489952 + 0.772510I
−0.92563 − 4.26359I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.535865 + 1.083180I
a = −1.92132 − 0.29525I
b = 1.18424 − 1.35458I
0.36722 − 6.89626I 0
u = 0.535865 − 1.083180I
a = −1.92132 + 0.29525I
b = 1.18424 + 1.35458I
0.36722 + 6.89626I 0
u = 0.675587 + 0.299878I
a = 0.106347 + 0.258467I
b = −0.680178 − 1.062790I
−5.78616 + 6.79535I 0
u = 0.675587 − 0.299878I
a = 0.106347 − 0.258467I
b = −0.680178 + 1.062790I
−5.78616 − 6.79535I 0
u = −0.644391 + 0.360817I
a = −0.262837 + 0.717837I
b = 0.513358 + 1.174010I
−1.08724 + 5.07336I 0
u = −0.644391 − 0.360817I
a = −0.262837 − 0.717837I
b = 0.513358 − 1.174010I
−1.08724 − 5.07336I 0
u = −0.585281 + 0.442144I
a = 0.140802 + 0.287801I
b = −0.193312 − 1.095270I
−5.63917 + 2.00864I 0
u = −0.585281 − 0.442144I
a = 0.140802 − 0.287801I
b = −0.193312 + 1.095270I
−5.63917 − 2.00864I 0
u = −1.085560 + 0.669522I
a = 0.168365 + 0.505512I
b = −0.202545 + 0.638160I
−1.84408 + 2.62374I 0
u = −1.085560 − 0.669522I
a = 0.168365 − 0.505512I
b = −0.202545 − 0.638160I
−1.84408 − 2.62374I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.027705 + 1.304750I
a = 0.982016 − 0.483651I
b = −0.706143 + 0.590040I
−1.307970 + 0.133901I 0
u = −0.027705 − 1.304750I
a = 0.982016 + 0.483651I
b = −0.706143 − 0.590040I
−1.307970 − 0.133901I 0
u = −0.238231 + 1.287730I
a = −0.423249 − 0.478548I
b = 0.384314 − 1.134960I
3.29794 − 1.90730I 0
u = −0.238231 − 1.287730I
a = −0.423249 + 0.478548I
b = 0.384314 + 1.134960I
3.29794 + 1.90730I 0
u = 0.187409 + 1.313880I
a = 0.817507 + 0.719947I
b = −0.92265 − 1.46668I
7.16822 − 1.11216I 0
u = 0.187409 − 1.313880I
a = 0.817507 − 0.719947I
b = −0.92265 + 1.46668I
7.16822 + 1.11216I 0
u = −0.433977 + 0.508710I
a = 0.819264 − 0.192101I
b = 0.323074 + 0.172146I
−0.67695 + 1.33587I −4.00000 − 4.21005I
u = −0.433977 − 0.508710I
a = 0.819264 + 0.192101I
b = 0.323074 − 0.172146I
−0.67695 − 1.33587I −4.00000 + 4.21005I
u = 0.539885 + 0.343839I
a = 0.800116 − 0.417430I
b = 0.756613 + 1.066180I
−1.49814 + 2.64491I −6.63643 − 2.61758I
u = 0.539885 − 0.343839I
a = 0.800116 + 0.417430I
b = 0.756613 − 1.066180I
−1.49814 − 2.64491I −6.63643 + 2.61758I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.030326 + 1.376500I
a = 1.32862 − 0.49316I
b = −0.707989 + 0.080369I
7.26908 − 3.74883I 0
u = −0.030326 − 1.376500I
a = 1.32862 + 0.49316I
b = −0.707989 − 0.080369I
7.26908 + 3.74883I 0
u = −1.38161
a = 0.0105714
b = −0.514748
−3.28566 0
u = 0.419422 + 1.316940I
a = −0.589355 + 0.166815I
b = −0.03588 − 1.96472I
5.50584 + 2.61222I 0
u = 0.419422 − 1.316940I
a = −0.589355 − 0.166815I
b = −0.03588 + 1.96472I
5.50584 − 2.61222I 0
u = −1.391710 + 0.089752I
a = 0.0956448 + 0.0932804I
b = −1.082700 − 0.221134I
2.13480 − 2.90558I 0
u = −1.391710 − 0.089752I
a = 0.0956448 − 0.0932804I
b = −1.082700 + 0.221134I
2.13480 + 2.90558I 0
u = 1.395400 + 0.166033I
a = 0.23204 + 1.64147I
b = −0.49169 + 1.85704I
−6.30956 − 0.07318I 0
u = 1.395400 − 0.166033I
a = 0.23204 − 1.64147I
b = −0.49169 − 1.85704I
−6.30956 + 0.07318I 0
u = 0.108876 + 1.406000I
a = −1.081840 − 0.470227I
b = 1.165760 + 0.284506I
4.60582 + 1.28218I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.108876 − 1.406000I
a = −1.081840 + 0.470227I
b = 1.165760 − 0.284506I
4.60582 − 1.28218I 0
u = −0.58264 + 1.33284I
a = −0.641654 + 0.559695I
b = 0.769236 + 0.435275I
1.29427 + 3.17227I 0
u = −0.58264 − 1.33284I
a = −0.641654 − 0.559695I
b = 0.769236 − 0.435275I
1.29427 − 3.17227I 0
u = −0.21729 + 1.48719I
a = −1.240930 + 0.212693I
b = 0.547205 + 0.202436I
1.67613 + 3.56898I 0
u = −0.21729 − 1.48719I
a = −1.240930 − 0.212693I
b = 0.547205 − 0.202436I
1.67613 − 3.56898I 0
u = 1.50360 + 0.18567I
a = −0.116323 − 0.103826I
b = −0.520988 − 0.230205I
−7.27239 − 5.14922I 0
u = 1.50360 − 0.18567I
a = −0.116323 + 0.103826I
b = −0.520988 + 0.230205I
−7.27239 + 5.14922I 0
u = −0.13144 + 1.51101I
a = −1.230130 + 0.282141I
b = 1.87800 − 0.65109I
6.99249 + 3.06914I 0
u = −0.13144 − 1.51101I
a = −1.230130 − 0.282141I
b = 1.87800 + 0.65109I
6.99249 − 3.06914I 0
u = 0.03386 + 1.54887I
a = 1.227950 − 0.534366I
b = −2.11119 + 1.63891I
4.40014 − 6.65988I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.03386 − 1.54887I
a = 1.227950 + 0.534366I
b = −2.11119 − 1.63891I
4.40014 + 6.65988I 0
u = −1.55655 + 0.03086I
a = 0.03939 + 1.44285I
b = −0.218642 + 1.374580I
−5.52724 + 0.79368I 0
u = −1.55655 − 0.03086I
a = 0.03939 − 1.44285I
b = −0.218642 − 1.374580I
−5.52724 − 0.79368I 0
u = −0.57017 + 1.47209I
a = −0.915532 + 0.379339I
b = 1.211700 + 0.203889I
7.30049 + 3.57857I 0
u = −0.57017 − 1.47209I
a = −0.915532 − 0.379339I
b = 1.211700 − 0.203889I
7.30049 − 3.57857I 0
u = −1.58330 + 0.07743I
a = −0.0194368 + 0.0971197I
b = 1.125400 + 0.343635I
2.07841 + 3.97264I 0
u = −1.58330 − 0.07743I
a = −0.0194368 − 0.0971197I
b = 1.125400 − 0.343635I
2.07841 − 3.97264I 0
u = −0.134441 + 0.384397I
a = 2.76887 + 0.58209I
b = −0.126233 − 1.274790I
−4.66184 − 3.14847I −10.60900 + 4.19793I
u = −0.134441 − 0.384397I
a = 2.76887 − 0.58209I
b = −0.126233 + 1.274790I
−4.66184 + 3.14847I −10.60900 − 4.19793I
u = 0.39000 + 1.55692I
a = 1.210650 − 0.074619I
b = −1.52201 + 0.86145I
−0.56610 − 11.02370I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.39000 − 1.55692I
a = 1.210650 + 0.074619I
b = −1.52201 − 0.86145I
−0.56610 + 11.02370I 0
u = −0.224390 + 0.323084I
a = 1.138940 − 0.253466I
b = 0.129820 + 0.620828I
−0.465389 + 1.055160I −6.15574 − 6.45752I
u = −0.224390 − 0.323084I
a = 1.138940 + 0.253466I
b = 0.129820 − 0.620828I
−0.465389 − 1.055160I −6.15574 + 6.45752I
u = −0.18124 + 1.60467I
a = 1.075440 + 0.188232I
b = −1.31529 − 0.56169I
3.46972 + 5.53181I 0
u = −0.18124 − 1.60467I
a = 1.075440 − 0.188232I
b = −1.31529 + 0.56169I
3.46972 − 5.53181I 0
u = 0.63443 + 1.49950I
a = 0.735611 + 0.371756I
b = −0.888067 + 0.209595I
8.64171 − 3.75966I 0
u = 0.63443 − 1.49950I
a = 0.735611 − 0.371756I
b = −0.888067 − 0.209595I
8.64171 + 3.75966I 0
u = 0.085154 + 0.351683I
a = 1.57905 − 3.42818I
b = 0.644995 + 0.115017I
1.07763 + 2.58586I 2.24955 − 1.98143I
u = 0.085154 − 0.351683I
a = 1.57905 + 3.42818I
b = 0.644995 − 0.115017I
1.07763 − 2.58586I 2.24955 + 1.98143I
u = 0.93046 + 1.40025I
a = 1.184390 + 0.518390I
b = −1.17427 + 1.30379I
6.58375 − 9.03797I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.93046 − 1.40025I
a = 1.184390 − 0.518390I
b = −1.17427 − 1.30379I
6.58375 + 9.03797I 0
u = −0.17511 + 1.68546I
a = −0.260149 + 0.492047I
b = 0.273993 + 1.305930I
2.25987 + 7.59630I 0
u = −0.17511 − 1.68546I
a = −0.260149 − 0.492047I
b = 0.273993 − 1.305930I
2.25987 − 7.59630I 0
u = 0.01116 + 1.71770I
a = −0.967157 + 0.108618I
b = 2.02507 − 0.34889I
5.20854 − 0.97669I 0
u = 0.01116 − 1.71770I
a = −0.967157 − 0.108618I
b = 2.02507 + 0.34889I
5.20854 + 0.97669I 0
u = −0.57629 + 1.62100I
a = −1.175950 + 0.111377I
b = 1.34314 + 1.07205I
7.80747 + 11.55220I 0
u = −0.57629 − 1.62100I
a = −1.175950 − 0.111377I
b = 1.34314 − 1.07205I
7.80747 − 11.55220I 0
u = −0.85002 + 1.50698I
a = 0.721941 − 0.375529I
b = −0.915285 − 0.643977I
5.97924 + 10.75490I 0
u = −0.85002 − 1.50698I
a = 0.721941 + 0.375529I
b = −0.915285 + 0.643977I
5.97924 − 10.75490I 0
u = 0.04623 + 1.73509I
a = −0.227368 − 0.655959I
b = 0.61476 + 3.07339I
2.61958 − 6.19065I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.04623 − 1.73509I
a = −0.227368 + 0.655959I
b = 0.61476 − 3.07339I
2.61958 + 6.19065I 0
u = −0.094667 + 0.241935I
a = 5.53733 + 2.42067I
b = −0.584625 − 1.077750I
−1.03771 + 7.25086I −6.57226 − 7.75836I
u = −0.094667 − 0.241935I
a = 5.53733 − 2.42067I
b = −0.584625 + 1.077750I
−1.03771 − 7.25086I −6.57226 + 7.75836I
u = −0.18843 + 1.78061I
a = 1.050780 + 0.143614I
b = −1.357100 − 0.081623I
7.66072 + 7.86170I 0
u = −0.18843 − 1.78061I
a = 1.050780 − 0.143614I
b = −1.357100 + 0.081623I
7.66072 − 7.86170I 0
u = −0.036576 + 0.200555I
a = 3.81052 − 9.54571I
b = −0.943630 + 0.281642I
−5.30235 + 1.62860I −5.66824 + 5.78169I
u = −0.036576 − 0.200555I
a = 3.81052 + 9.54571I
b = −0.943630 − 0.281642I
−5.30235 − 1.62860I −5.66824 − 5.78169I
u = 1.81851 + 0.26975I
a = 0.0537702 + 0.0196362I
b = 1.63126 + 0.63662I
0.48462 + 9.41860I 0
u = 1.81851 − 0.26975I
a = 0.0537702 − 0.0196362I
b = 1.63126 − 0.63662I
0.48462 − 9.41860I 0
u = 0.82536 + 1.65169I
a = −1.105360 − 0.293971I
b = 1.54187 − 1.29894I
4.9957 − 18.5909I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.82536 − 1.65169I
a = −1.105360 + 0.293971I
b = 1.54187 + 1.29894I
4.9957 + 18.5909I 0
u = 0.47613 + 1.79141I
a = −0.842954 − 0.283009I
b = 1.67205 − 0.30568I
7.79489 + 0.93405I 0
u = 0.47613 − 1.79141I
a = −0.842954 + 0.283009I
b = 1.67205 + 0.30568I
7.79489 − 0.93405I 0
u = −0.1214770 + 0.0473022I
a = 19.5541 + 13.5416I
b = 1.036630 + 0.085835I
−4.44299 − 7.53619I 8.62343 + 7.48479I
u = −0.1214770 − 0.0473022I
a = 19.5541 − 13.5416I
b = 1.036630 − 0.085835I
−4.44299 + 7.53619I 8.62343 − 7.48479I
u = −0.126050
a = 7.56620
b = −0.663090
−1.78457 −5.65030
u = 0.24856 + 1.89159I
a = −0.815297 − 0.159713I
b = 2.06200 − 0.22154I
5.73161 − 1.30915I 0
u = 0.24856 − 1.89159I
a = −0.815297 + 0.159713I
b = 2.06200 + 0.22154I
5.73161 + 1.30915I 0
u = −0.70069 + 1.82642I
a = 1.012740 − 0.204603I
b = −1.66134 − 0.84762I
7.63205 + 5.30313I 0
u = −0.70069 − 1.82642I
a = 1.012740 + 0.204603I
b = −1.66134 + 0.84762I
7.63205 − 5.30313I 0
15
II.
I
u
2
= h2.24 × 10
66
u
40
− 3.12 × 10
66
u
39
+ · · · + 5.39 × 10
65
b − 5.51 × 10
66
, 1.57 ×
10
65
u
40
−2.37×10
65
u
39
+· · ·+8.05×10
63
a−3.18×10
65
, u
41
−u
40
+· · ·−3u−1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
10
=
−19.5291u
40
+ 29.3952u
39
+ ··· + 40.3871u + 39.4633
−4.14983u
40
+ 5.78266u
39
+ ··· + 6.90996u + 10.2209
a
4
=
−21.8655u
40
+ 33.1429u
39
+ ··· + 46.3284u + 42.7793
−2.25499u
40
+ 2.95959u
39
+ ··· + 2.03087u + 6.60810
a
11
=
−23.6790u
40
+ 35.1778u
39
+ ··· + 47.2970u + 49.6842
−4.14983u
40
+ 5.78266u
39
+ ··· + 6.90996u + 10.2209
a
5
=
32.9487u
40
− 48.9348u
39
+ ··· − 62.9983u − 67.8981
0.888298u
40
− 2.31565u
39
+ ··· − 5.65847u + 0.969603
a
1
=
19.8792u
40
− 30.5410u
39
+ ··· − 43.1109u − 36.3167
6.15273u
40
− 8.05147u
39
+ ··· − 5.95744u − 15.5284
a
9
=
8.85110u
40
− 14.7059u
39
+ ··· − 24.3827u − 13.3340
5.40952u
40
− 7.30710u
39
+ ··· − 4.87102u − 13.9817
a
12
=
19.8792u
40
− 30.5410u
39
+ ··· − 43.1109u − 36.3167
0.532429u
40
+ 0.416044u
39
+ ··· + 6.14888u − 4.86655
a
8
=
−25.9087u
40
+ 39.4421u
39
+ ··· + 57.5096u + 51.9080
3.69737u
40
− 4.89585u
39
+ ··· − 7.26966u − 8.83313
a
6
=
u
u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −29.8534u
40
+ 43.7848u
39
+ ··· + 39.4838u + 59.7065
16
(iv) u-Polynomials at the component
17
Crossings u-Polynomials at each crossing
c
1
u
41
− 12u
40
+ ··· + 10u − 1
c
2
u
41
− u
40
+ ··· − 3u − 1
c
3
u
41
+ 6u
39
+ ··· + u − 1
c
4
u
41
− 2u
40
+ ··· − 17u − 1
c
5
u
41
+ 6u
40
+ ··· − 11u − 7
c
6
u
41
+ u
40
+ ··· − 3u + 1
c
7
u
41
+ 21u
39
+ ··· − 6u − 1
c
8
u
41
− 6u
40
+ ··· − 11u + 7
c
9
u
41
+ 2u
40
+ ··· + 485u − 43
c
10
u
41
+ u
40
+ ··· + 53u − 7
c
11
u
41
+ 20u
40
+ ··· + 81u + 9
c
12
u
41
+ 21u
39
+ ··· − 6u + 1
18
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
41
− 18y
40
+ ··· + 8y −1
c
2
, c
6
y
41
+ 11y
40
+ ··· + 21y −1
c
3
y
41
+ 12y
40
+ ··· − 5y −1
c
4
y
41
− 20y
40
+ ··· − 167y −1
c
5
, c
8
y
41
+ 20y
40
+ ··· − 887y −49
c
7
, c
12
y
41
+ 42y
40
+ ··· + 6y −1
c
9
y
41
+ 6y
40
+ ··· + 42241y −1849
c
10
y
41
+ 21y
40
+ ··· + 107y −49
c
11
y
41
− 26y
40
+ ··· + 189y −81
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.286901 + 0.991540I
a = 2.29762 + 0.41484I
b = −1.00661 − 1.17209I
0.07518 + 7.84426I −1.50914 − 12.20509I
u = −0.286901 − 0.991540I
a = 2.29762 − 0.41484I
b = −1.00661 + 1.17209I
0.07518 − 7.84426I −1.50914 + 12.20509I
u = 0.949635 + 0.476458I
a = 0.032106 + 1.042850I
b = −0.143760 + 0.199137I
−3.57031 − 1.46409I −9.22014 + 4.61604I
u = 0.949635 − 0.476458I
a = 0.032106 − 1.042850I
b = −0.143760 − 0.199137I
−3.57031 + 1.46409I −9.22014 − 4.61604I
u = −0.899592 + 0.046634I
a = 0.355735 + 0.441243I
b = 0.768350 + 1.078400I
−1.50647 + 4.42138I −7.52469 − 5.58697I
u = −0.899592 − 0.046634I
a = 0.355735 − 0.441243I
b = 0.768350 − 1.078400I
−1.50647 − 4.42138I −7.52469 + 5.58697I
u = −0.345323 + 0.806861I
a = 0.27563 − 1.75630I
b = −0.333431 + 1.024460I
4.75667 + 0.68528I −9.5465 + 15.1931I
u = −0.345323 − 0.806861I
a = 0.27563 + 1.75630I
b = −0.333431 − 1.024460I
4.75667 − 0.68528I −9.5465 − 15.1931I
u = 0.420032 + 1.059610I
a = −1.30616 − 0.55865I
b = 0.197569 − 0.419287I
−1.08177 − 3.23825I −12.43837 + 3.24569I
u = 0.420032 − 1.059610I
a = −1.30616 + 0.55865I
b = 0.197569 + 0.419287I
−1.08177 + 3.23825I −12.43837 − 3.24569I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.792635 + 0.257658I
a = 1.147710 − 0.507974I
b = 0.362172 − 0.402883I
0.15390 − 3.18917I −5.18425 + 4.41893I
u = 0.792635 − 0.257658I
a = 1.147710 + 0.507974I
b = 0.362172 + 0.402883I
0.15390 + 3.18917I −5.18425 − 4.41893I
u = 1.19043
a = −0.383016
b = −0.220413
−3.64039 −15.9100
u = 0.360493 + 0.718862I
a = −1.129870 + 0.522475I
b = 0.515140 + 0.672224I
0.303299 − 0.471773I −0.99029 − 5.29265I
u = 0.360493 − 0.718862I
a = −1.129870 − 0.522475I
b = 0.515140 − 0.672224I
0.303299 + 0.471773I −0.99029 + 5.29265I
u = 0.672261 + 0.080239I
a = −0.540607 − 1.170900I
b = 0.306719 − 1.230190I
−2.78242 − 4.72173I −8.25284 + 7.19388I
u = 0.672261 − 0.080239I
a = −0.540607 + 1.170900I
b = 0.306719 + 1.230190I
−2.78242 + 4.72173I −8.25284 − 7.19388I
u = −1.310210 + 0.327576I
a = 0.58215 − 1.65522I
b = −0.40928 − 1.71391I
−6.51522 − 1.62849I 0
u = −1.310210 − 0.327576I
a = 0.58215 + 1.65522I
b = −0.40928 + 1.71391I
−6.51522 + 1.62849I 0
u = −0.502368 + 0.410820I
a = −0.63838 − 3.51289I
b = −0.859559 + 0.274689I
−5.44009 + 2.12446I −9.97382 − 8.40343I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.502368 − 0.410820I
a = −0.63838 + 3.51289I
b = −0.859559 − 0.274689I
−5.44009 − 2.12446I −9.97382 + 8.40343I
u = 0.401097 + 1.333910I
a = −0.553696 − 0.053351I
b = 0.06596 − 1.65982I
5.48877 + 2.19517I 0
u = 0.401097 − 1.333910I
a = −0.553696 + 0.053351I
b = 0.06596 + 1.65982I
5.48877 − 2.19517I 0
u = −1.41107 + 0.24308I
a = −0.189673 − 0.021720I
b = −0.461540 + 0.351123I
−7.43232 + 5.03659I 0
u = −1.41107 − 0.24308I
a = −0.189673 + 0.021720I
b = −0.461540 − 0.351123I
−7.43232 − 5.03659I 0
u = −0.23932 + 1.42324I
a = −0.896034 + 0.562801I
b = 1.29334 − 1.01356I
7.44726 + 2.10768I 0
u = −0.23932 − 1.42324I
a = −0.896034 − 0.562801I
b = 1.29334 + 1.01356I
7.44726 − 2.10768I 0
u = −0.514178 + 0.015201I
a = 5.56707 + 1.24682I
b = 0.988002 + 0.045844I
−4.70734 − 7.51754I −21.6272 + 5.6178I
u = −0.514178 − 0.015201I
a = 5.56707 − 1.24682I
b = 0.988002 − 0.045844I
−4.70734 + 7.51754I −21.6272 − 5.6178I
u = 0.290580 + 0.310278I
a = 0.110050 − 1.394070I
b = −0.265452 + 1.184150I
−5.41853 − 1.52083I −6.22450 − 4.47748I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.290580 − 0.310278I
a = 0.110050 + 1.394070I
b = −0.265452 − 1.184150I
−5.41853 + 1.52083I −6.22450 + 4.47748I
u = −0.394652 + 0.120998I
a = 0.382806 − 1.235690I
b = −0.539317 + 1.053190I
−5.44395 − 7.17213I −2.82395 + 10.85616I
u = −0.394652 − 0.120998I
a = 0.382806 + 1.235690I
b = −0.539317 − 1.053190I
−5.44395 + 7.17213I −2.82395 − 10.85616I
u = 1.60797 + 0.05379I
a = 0.109373 + 1.377310I
b = −0.14063 + 1.52178I
−5.32151 − 0.15355I 0
u = 1.60797 − 0.05379I
a = 0.109373 − 1.377310I
b = −0.14063 − 1.52178I
−5.32151 + 0.15355I 0
u = 0.04081 + 1.65518I
a = 0.262184 − 0.375485I
b = −0.46928 + 2.29406I
3.23612 − 6.49647I 0
u = 0.04081 − 1.65518I
a = 0.262184 + 0.375485I
b = −0.46928 − 2.29406I
3.23612 + 6.49647I 0
u = 0.48340 + 1.68903I
a = 1.139760 + 0.082046I
b = −1.33828 + 0.53878I
7.30187 − 6.63414I 0
u = 0.48340 − 1.68903I
a = 1.139760 − 0.082046I
b = −1.33828 − 0.53878I
7.30187 + 6.63414I 0
u = −0.21050 + 1.90619I
a = −0.816278 + 0.118820I
b = 2.08010 + 0.22568I
5.82770 + 1.19857I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.21050 − 1.90619I
a = −0.816278 − 0.118820I
b = 2.08010 − 0.22568I
5.82770 − 1.19857I 0
25
III. I
u
3
= hb + u − 1, a + u, u
2
− u + 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u − 1
a
10
=
−u
−u + 1
a
4
=
−u + 2
u
a
11
=
−2u + 1
−u + 1
a
5
=
2u − 1
2u − 2
a
1
=
−u
−u + 1
a
9
=
−u
−u + 1
a
12
=
−u
−u
a
8
=
1
u + 1
a
6
=
u
u
(ii) Obstruction class = 1
(iii) Cusp Shapes = 8u − 4
26
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
8
c
12
u
2
− u + 1
c
3
, c
5
, c
6
c
7
, c
10
, c
11
u
2
+ u + 1
c
4
u
2
+ 3u + 3
c
9
u
2
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
, c
6
, c
7
c
8
, c
10
, c
11
c
12
y
2
+ y + 1
c
4
y
2
− 3y + 9
c
9
y
2
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
− 4.05977I 0. + 6.92820I
u = 0.500000 − 0.866025I
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
4.05977I 0. − 6.92820I
29
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)(u
41
− 12u
40
+ ··· + 10u − 1)(u
110
− 6u
109
+ ··· + 11u − 2)
c
2
(u
2
− u + 1)(u
41
− u
40
+ ··· − 3u − 1)(u
110
+ u
109
+ ··· + 73536u + 2617)
c
3
(u
2
+ u + 1)(u
41
+ 6u
39
+ ··· + u − 1)
· (u
110
− 14u
108
+ ··· + 129540868u + 14647477)
c
4
(u
2
+ 3u + 3)(u
41
− 2u
40
+ ··· − 17u − 1)
· (u
110
− 2u
109
+ ··· + 124018u − 36863)
c
5
(u
2
+ u + 1)(u
41
+ 6u
40
+ ··· − 11u − 7)
· (u
110
+ 4u
109
+ ··· + 45870u + 9829)
c
6
(u
2
+ u + 1)(u
41
+ u
40
+ ··· − 3u + 1)(u
110
+ u
109
+ ··· + 73536u + 2617)
c
7
(u
2
+ u + 1)(u
41
+ 21u
39
+ ··· − 6u − 1)
· (u
110
+ 2u
109
+ ··· − 559427u − 79997)
c
8
(u
2
− u + 1)(u
41
− 6u
40
+ ··· − 11u + 7)
· (u
110
+ 4u
109
+ ··· + 45870u + 9829)
c
9
u
2
(u
41
+ 2u
40
+ ··· + 485u − 43)
· (u
110
− u
109
+ ··· + 1686688u − 214604)
c
10
(u
2
+ u + 1)(u
41
+ u
40
+ ··· + 53u − 7)
· (u
110
− 7u
109
+ ··· + 20930122u + 5719333)
c
11
(u
2
+ u + 1)(u
41
+ 20u
40
+ ··· + 81u + 9)
· (u
110
+ 10u
109
+ ··· − 1755u − 172)
c
12
(u
2
− u + 1)(u
41
+ 21u
39
+ ··· − 6u + 1)
· (u
110
+ 2u
109
+ ··· − 559427u − 79997)
30
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ y + 1)(y
41
− 18y
40
+ ··· + 8y −1)(y
110
− 26y
109
+ ··· + 279y + 4)
c
2
, c
6
(y
2
+ y + 1)(y
41
+ 11y
40
+ ··· + 21y −1)
· (y
110
+ 83y
109
+ ··· − 338995270y + 6848689)
c
3
(y
2
+ y + 1)(y
41
+ 12y
40
+ ··· − 5y −1)
· (y
110
− 28y
109
+ ··· − 7442649453513616y + 214548582465529)
c
4
(y
2
− 3y + 9)(y
41
− 20y
40
+ ··· − 167y −1)
· (y
110
− 24y
109
+ ··· − 95798204714y + 1358880769)
c
5
, c
8
(y
2
+ y + 1)(y
41
+ 20y
40
+ ··· − 887y −49)
· (y
110
+ 52y
109
+ ··· + 4273725646y + 96609241)
c
7
, c
12
(y
2
+ y + 1)(y
41
+ 42y
40
+ ··· + 6y −1)
· (y
110
+ 102y
109
+ ··· + 299723255241y + 6399520009)
c
9
y
2
(y
41
+ 6y
40
+ ··· + 42241y −1849)
· (y
110
+ 41y
109
+ ··· − 686133223824y + 46054876816)
c
10
(y
2
+ y + 1)(y
41
+ 21y
40
+ ··· + 107y −49)
· (y
110
− 7y
109
+ ··· + 2976938625720080y + 32710769964889)
c
11
(y
2
+ y + 1)(y
41
− 26y
40
+ ··· + 189y −81)
· (y
110
− 34y
109
+ ··· − 926929y + 29584)
31
