12n
0857
(K12n
0857
)
A knot diagram
1
Linearized knot diagam
4 6 9 1 8 2 12 11 2 5 6 10
Solving Sequence
2,6
3
7,12
8 5 11 9 4 1 10
c
2
c
6
c
7
c
5
c
11
c
8
c
3
c
1
c
10
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.54221 × 10
715
u
109
+ 1.88993 × 10
715
u
108
+ ··· + 2.43228 × 10
719
b − 1.89889 × 10
720
,
− 5.21983 × 10
720
u
109
+ 3.53329 × 10
720
u
108
+ ··· + 2.79846 × 10
724
a − 6.69018 × 10
725
,
u
110
− u
109
+ ··· + 158844u − 23011i
I
u
2
= h−1.69300 × 10
47
u
40
+ 1.74572 × 10
46
u
39
+ ··· + 3.46916 × 10
46
b − 4.11027 × 10
46
,
− 1.42407 × 10
47
u
40
+ 2.07337 × 10
46
u
39
+ ··· + 3.46916 × 10
46
a − 2.12701 × 10
46
, u
41
− 6u
39
+ ··· + u − 1i
* 2 irreducible components of dim
C
= 0, with total 151 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−2.54 × 10
715
u
109
+ 1.89 × 10
715
u
108
+ · · · + 2.43 × 10
719
b − 1.90 ×
10
720
, −5.22 × 10
720
u
109
+ 3.53 × 10
720
u
108
+ · · · + 2.80 × 10
724
a − 6.69 ×
10
725
, u
110
− u
109
+ · · · + 158844u − 23011i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
−u
2
a
7
=
u
u
a
12
=
0.000186525u
109
− 0.000126258u
108
+ ··· − 86.7680u + 23.9067
0.000104520u
109
− 0.0000777021u
108
+ ··· − 22.7251u + 7.80705
a
8
=
0.000187611u
109
− 0.000113060u
108
+ ··· − 7.21058u + 4.09697
−0.0000441421u
109
+ 0.0000112573u
108
+ ··· + 24.8025u − 4.20354
a
5
=
0.000353843u
109
− 0.000263570u
108
+ ··· − 154.257u + 32.4618
0.0000988927u
109
− 0.0000682856u
108
+ ··· − 26.1513u + 8.57675
a
11
=
0.000186525u
109
− 0.000126258u
108
+ ··· − 86.7680u + 23.9067
0.000103255u
109
− 0.0000818589u
108
+ ··· − 17.4442u + 6.42025
a
9
=
−0.000258536u
109
+ 0.000209102u
108
+ ··· + 120.512u − 25.4063
0.0000986832u
109
− 0.0000625693u
108
+ ··· − 35.6479u + 8.19303
a
4
=
−0.000159884u
109
+ 0.0000964328u
108
+ ··· + 92.8382u − 16.6342
0.000138065u
109
− 0.0000904983u
108
+ ··· − 51.6830u + 12.8395
a
1
=
0.0000566483u
109
− 0.0000528472u
108
+ ··· + 52.8264u − 5.41832
−0.0000756289u
109
+ 0.0000417867u
108
+ ··· + 25.4750u − 5.64856
a
10
=
−0.000159853u
109
+ 0.000146533u
108
+ ··· + 84.8642u − 17.2133
0.0000986832u
109
− 0.0000625693u
108
+ ··· − 35.6479u + 8.19303
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.000468187u
109
− 0.000486994u
108
+ ··· − 109.891u + 53.5401
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
110
− 5u
109
+ ··· − 655u + 27
c
2
, c
6
u
110
− u
109
+ ··· + 158844u − 23011
c
3
u
110
+ u
109
+ ··· − 27299702743u − 7633881929
c
5
u
110
− 7u
109
+ ··· + 32u − 1
c
7
u
110
+ 25u
108
+ ··· + 2741658038u − 256908883
c
8
u
110
− 6u
109
+ ··· − 132u − 121
c
9
u
110
− 27u
108
+ ··· − 348627733u − 55663493
c
10
u
110
+ 4u
109
+ ··· + 979761921u + 106831211
c
11
u
110
+ 18u
108
+ ··· + 1919803u − 465261
c
12
u
110
− 5u
109
+ ··· − 1146282u + 43209
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
110
+ 77y
109
+ ··· + 13397y + 729
c
2
, c
6
y
110
− 93y
109
+ ··· − 21526553292y + 529506121
c
3
y
110
− 71y
109
+ ··· − 1.44 × 10
21
y + 5.83 × 10
19
c
5
y
110
− 3y
109
+ ··· − 512y + 1
c
7
y
110
+ 50y
109
+ ··· + 1760931224300394538y + 66002174164307689
c
8
y
110
− 40y
109
+ ··· − 2526964y + 14641
c
9
y
110
− 54y
109
+ ··· − 28826776772721039y + 3098424452961049
c
10
y
110
− 64y
109
+ ··· − 562423846261318061y + 11412907643726521
c
11
y
110
+ 36y
109
+ ··· + 4003166674991y + 216467798121
c
12
y
110
− 47y
109
+ ··· − 179416969920y + 1867017681
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.273687 + 0.960931I
a = −0.484952 − 0.110282I
b = −0.672250 + 0.036578I
−1.25797 + 2.48843I 0
u = 0.273687 − 0.960931I
a = −0.484952 + 0.110282I
b = −0.672250 − 0.036578I
−1.25797 − 2.48843I 0
u = −0.628229 + 0.798712I
a = 0.106648 − 0.367235I
b = 0.966418 − 0.567381I
3.01685 − 6.24146I 0
u = −0.628229 − 0.798712I
a = 0.106648 + 0.367235I
b = 0.966418 + 0.567381I
3.01685 + 6.24146I 0
u = 0.309362 + 1.089710I
a = 1.377220 + 0.050662I
b = 0.810992 + 0.253927I
−0.052815 + 0.890393I 0
u = 0.309362 − 1.089710I
a = 1.377220 − 0.050662I
b = 0.810992 − 0.253927I
−0.052815 − 0.890393I 0
u = −0.519325 + 1.066280I
a = −0.057017 − 0.852253I
b = −0.46239 − 2.81094I
−3.52164 − 4.49508I 0
u = −0.519325 − 1.066280I
a = −0.057017 + 0.852253I
b = −0.46239 + 2.81094I
−3.52164 + 4.49508I 0
u = −1.188430 + 0.109656I
a = −0.438712 − 0.382941I
b = −0.39352 − 1.51795I
4.27455 − 2.98496I 0
u = −1.188430 − 0.109656I
a = −0.438712 + 0.382941I
b = −0.39352 + 1.51795I
4.27455 + 2.98496I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.19475
a = 0.698115
b = −0.692490
2.41722 0
u = −0.350801 + 1.145200I
a = 0.721107 + 0.526114I
b = 0.321582 + 0.283145I
1.25954 − 1.01418I 0
u = −0.350801 − 1.145200I
a = 0.721107 − 0.526114I
b = 0.321582 − 0.283145I
1.25954 + 1.01418I 0
u = 0.352012 + 0.720308I
a = 0.671585 + 0.861831I
b = 0.215301 + 0.803589I
−0.03040 + 1.50146I 0
u = 0.352012 − 0.720308I
a = 0.671585 − 0.861831I
b = 0.215301 − 0.803589I
−0.03040 − 1.50146I 0
u = 1.202730 + 0.073671I
a = 0.109956 − 1.074730I
b = −0.41368 − 1.96448I
8.55511 + 2.52577I 0
u = 1.202730 − 0.073671I
a = 0.109956 + 1.074730I
b = −0.41368 + 1.96448I
8.55511 − 2.52577I 0
u = 0.679200 + 1.040770I
a = −0.95062 + 1.26584I
b = −0.41692 + 1.85804I
1.08954 + 3.61356I 0
u = 0.679200 − 1.040770I
a = −0.95062 − 1.26584I
b = −0.41692 − 1.85804I
1.08954 − 3.61356I 0
u = −1.225580 + 0.281346I
a = −0.128470 − 0.754923I
b = 0.53589 − 1.63052I
5.08737 − 2.56905I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.225580 − 0.281346I
a = −0.128470 + 0.754923I
b = 0.53589 + 1.63052I
5.08737 + 2.56905I 0
u = 0.177944 + 0.720155I
a = 0.015350 − 0.782987I
b = −0.293615 + 1.122800I
−2.19476 + 3.25041I 8.84179 − 7.27756I
u = 0.177944 − 0.720155I
a = 0.015350 + 0.782987I
b = −0.293615 − 1.122800I
−2.19476 − 3.25041I 8.84179 + 7.27756I
u = −1.300390 + 0.176577I
a = −0.621735 − 0.676303I
b = 0.216071 − 1.352320I
5.42545 − 4.17336I 0
u = −1.300390 − 0.176577I
a = −0.621735 + 0.676303I
b = 0.216071 + 1.352320I
5.42545 + 4.17336I 0
u = 1.301090 + 0.191030I
a = 0.534422 − 0.659624I
b = 0.55111 − 1.66214I
4.67133 + 2.81915I 0
u = 1.301090 − 0.191030I
a = 0.534422 + 0.659624I
b = 0.55111 + 1.66214I
4.67133 − 2.81915I 0
u = 0.157675 + 1.316790I
a = −0.897453 + 0.369873I
b = −0.439787 + 0.353356I
0.08563 + 2.03639I 0
u = 0.157675 − 1.316790I
a = −0.897453 − 0.369873I
b = −0.439787 − 0.353356I
0.08563 − 2.03639I 0
u = −1.288940 + 0.356178I
a = 0.51990 + 1.32223I
b = 0.53882 + 2.17669I
9.28751 − 3.25110I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.288940 − 0.356178I
a = 0.51990 − 1.32223I
b = 0.53882 − 2.17669I
9.28751 + 3.25110I 0
u = 0.530803 + 0.358746I
a = −1.32896 + 1.23903I
b = 0.061470 + 0.322537I
−0.312510 − 0.746087I 3.82156 − 0.88435I
u = 0.530803 − 0.358746I
a = −1.32896 − 1.23903I
b = 0.061470 − 0.322537I
−0.312510 + 0.746087I 3.82156 + 0.88435I
u = −0.022768 + 0.635447I
a = 0.78042 + 1.18749I
b = −0.392753 + 0.900980I
−0.17291 + 1.59043I −0.61220 − 5.93494I
u = −0.022768 − 0.635447I
a = 0.78042 − 1.18749I
b = −0.392753 − 0.900980I
−0.17291 − 1.59043I −0.61220 + 5.93494I
u = −1.374950 + 0.125591I
a = −0.127642 − 0.477675I
b = −0.13427 − 2.13580I
4.21176 − 3.87768I 0
u = −1.374950 − 0.125591I
a = −0.127642 + 0.477675I
b = −0.13427 + 2.13580I
4.21176 + 3.87768I 0
u = 1.399420 + 0.163644I
a = −0.736788 + 1.118710I
b = −0.78460 + 1.94025I
9.14891 + 7.01170I 0
u = 1.399420 − 0.163644I
a = −0.736788 − 1.118710I
b = −0.78460 − 1.94025I
9.14891 − 7.01170I 0
u = 0.522659 + 0.216699I
a = 0.953268 + 1.043640I
b = 1.162230 + 0.437088I
−0.00845 + 1.94695I 4.55502 − 2.39627I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.522659 − 0.216699I
a = 0.953268 − 1.043640I
b = 1.162230 − 0.437088I
−0.00845 − 1.94695I 4.55502 + 2.39627I
u = 1.37104 + 0.48392I
a = 0.125909 − 0.673054I
b = −0.46115 − 1.43967I
9.03260 + 4.08006I 0
u = 1.37104 − 0.48392I
a = 0.125909 + 0.673054I
b = −0.46115 + 1.43967I
9.03260 − 4.08006I 0
u = 0.068354 + 0.540094I
a = −1.47112 − 0.90407I
b = −0.393840 + 0.335106I
5.52022 + 0.03424I 7.96720 − 0.60261I
u = 0.068354 − 0.540094I
a = −1.47112 + 0.90407I
b = −0.393840 − 0.335106I
5.52022 − 0.03424I 7.96720 + 0.60261I
u = 0.15751 + 1.45984I
a = −0.049137 + 0.248159I
b = −0.106769 − 0.316184I
−4.78686 + 2.68627I 0
u = 0.15751 − 1.45984I
a = −0.049137 − 0.248159I
b = −0.106769 + 0.316184I
−4.78686 − 2.68627I 0
u = 1.46290 + 0.14063I
a = −0.086000 − 0.518467I
b = 0.71801 − 2.27414I
10.26220 + 7.62684I 0
u = 1.46290 − 0.14063I
a = −0.086000 + 0.518467I
b = 0.71801 + 2.27414I
10.26220 − 7.62684I 0
u = −0.475600 + 0.217173I
a = 2.14968 + 0.17316I
b = −0.280691 − 0.105818I
−2.22651 + 1.76105I 1.37744 + 1.55240I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.475600 − 0.217173I
a = 2.14968 − 0.17316I
b = −0.280691 + 0.105818I
−2.22651 − 1.76105I 1.37744 − 1.55240I
u = 0.048553 + 0.517530I
a = 1.61620 − 1.45157I
b = 0.465905 + 0.266029I
4.47843 − 4.70240I 4.49650 + 5.47007I
u = 0.048553 − 0.517530I
a = 1.61620 + 1.45157I
b = 0.465905 − 0.266029I
4.47843 + 4.70240I 4.49650 − 5.47007I
u = −0.485752 + 0.120738I
a = −0.446723 − 1.182890I
b = −0.180930 + 0.519966I
3.97923 + 2.53000I 6.84189 − 1.13685I
u = −0.485752 − 0.120738I
a = −0.446723 + 1.182890I
b = −0.180930 − 0.519966I
3.97923 − 2.53000I 6.84189 + 1.13685I
u = −1.49753 + 0.12512I
a = 0.558038 − 0.601764I
b = 0.68779 − 1.49936I
5.68912 + 7.07093I 0
u = −1.49753 − 0.12512I
a = 0.558038 + 0.601764I
b = 0.68779 + 1.49936I
5.68912 − 7.07093I 0
u = 1.51899 + 0.07666I
a = 0.059079 − 0.470658I
b = −0.25068 − 1.53369I
4.04694 − 0.33219I 0
u = 1.51899 − 0.07666I
a = 0.059079 + 0.470658I
b = −0.25068 + 1.53369I
4.04694 + 0.33219I 0
u = 1.52042 + 0.11871I
a = −0.708203 − 0.170400I
b = 1.185130 − 0.472331I
7.54648 − 7.09317I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.52042 − 0.11871I
a = −0.708203 + 0.170400I
b = 1.185130 + 0.472331I
7.54648 + 7.09317I 0
u = −0.471088 + 0.031867I
a = −0.54476 + 1.57952I
b = −1.89025 + 0.87716I
−2.39453 + 3.03728I 5.39122 − 4.35642I
u = −0.471088 − 0.031867I
a = −0.54476 − 1.57952I
b = −1.89025 − 0.87716I
−2.39453 − 3.03728I 5.39122 + 4.35642I
u = −0.08127 + 1.53240I
a = −0.656838 + 0.342465I
b = 0.248251 + 0.071874I
6.68549 + 1.64932I 0
u = −0.08127 − 1.53240I
a = −0.656838 − 0.342465I
b = 0.248251 − 0.071874I
6.68549 − 1.64932I 0
u = −1.57135 + 0.11639I
a = 0.494086 + 0.982442I
b = 0.59190 + 1.78909I
6.32209 − 6.02555I 0
u = −1.57135 − 0.11639I
a = 0.494086 − 0.982442I
b = 0.59190 − 1.78909I
6.32209 + 6.02555I 0
u = −0.022304 + 0.396147I
a = −1.02490 + 1.85182I
b = 1.38891 + 0.75346I
4.91782 − 5.77618I 4.50743 + 7.77922I
u = −0.022304 − 0.396147I
a = −1.02490 − 1.85182I
b = 1.38891 − 0.75346I
4.91782 + 5.77618I 4.50743 − 7.77922I
u = 1.53485 + 0.50520I
a = −0.431234 + 1.315120I
b = −0.42990 + 2.05535I
4.26591 + 5.26219I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.53485 − 0.50520I
a = −0.431234 − 1.315120I
b = −0.42990 − 2.05535I
4.26591 − 5.26219I 0
u = −0.365927 + 0.115265I
a = −3.47463 + 0.45216I
b = −0.324748 − 0.213350I
1.85337 + 7.74114I 8.60767 − 0.68834I
u = −0.365927 − 0.115265I
a = −3.47463 − 0.45216I
b = −0.324748 + 0.213350I
1.85337 − 7.74114I 8.60767 + 0.68834I
u = −1.62002 + 0.18053I
a = −1.017500 + 0.708221I
b = −0.55954 + 1.42055I
10.72520 + 3.07710I 0
u = −1.62002 − 0.18053I
a = −1.017500 − 0.708221I
b = −0.55954 − 1.42055I
10.72520 − 3.07710I 0
u = 0.247940 + 0.242752I
a = 2.38304 + 0.34026I
b = 0.331916 − 0.034596I
1.43380 + 0.59948I 7.91982 − 1.66824I
u = 0.247940 − 0.242752I
a = 2.38304 − 0.34026I
b = 0.331916 + 0.034596I
1.43380 − 0.59948I 7.91982 + 1.66824I
u = 1.64458 + 0.17161I
a = −0.279226 − 0.536798I
b = −0.47933 − 1.44197I
4.28101 − 2.71036I 0
u = 1.64458 − 0.17161I
a = −0.279226 + 0.536798I
b = −0.47933 + 1.44197I
4.28101 + 2.71036I 0
u = 0.03497 + 1.67464I
a = 0.717445 + 0.352982I
b = −0.191177 + 0.220339I
2.02623 + 4.33689I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.03497 − 1.67464I
a = 0.717445 − 0.352982I
b = −0.191177 − 0.220339I
2.02623 − 4.33689I 0
u = −1.67958
a = 0.693345
b = −1.26791
2.49711 0
u = 0.236427 + 0.199395I
a = 1.60827 − 3.33634I
b = −0.001468 + 0.322599I
−0.60686 + 5.09531I 7.9030 − 12.9015I
u = 0.236427 − 0.199395I
a = 1.60827 + 3.33634I
b = −0.001468 − 0.322599I
−0.60686 − 5.09531I 7.9030 + 12.9015I
u = −0.09867 + 1.69783I
a = −0.749971 + 0.326279I
b = 0.066056 + 0.201858I
6.47474 − 10.34840I 0
u = −0.09867 − 1.69783I
a = −0.749971 − 0.326279I
b = 0.066056 − 0.201858I
6.47474 + 10.34840I 0
u = −1.68844 + 0.22479I
a = 0.050361 − 0.701689I
b = 0.36176 − 1.53476I
10.57750 + 1.17864I 0
u = −1.68844 − 0.22479I
a = 0.050361 + 0.701689I
b = 0.36176 + 1.53476I
10.57750 − 1.17864I 0
u = 0.295080 + 0.019263I
a = −0.11560 − 2.44199I
b = 2.62075 − 0.51441I
3.11409 + 8.21921I 13.62610 − 2.24006I
u = 0.295080 − 0.019263I
a = −0.11560 + 2.44199I
b = 2.62075 + 0.51441I
3.11409 − 8.21921I 13.62610 + 2.24006I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.70373 + 0.14489I
a = 1.011830 + 0.885480I
b = 0.60800 + 1.52767I
6.74171 + 2.48577I 0
u = 1.70373 − 0.14489I
a = 1.011830 − 0.885480I
b = 0.60800 − 1.52767I
6.74171 − 2.48577I 0
u = −1.71387 + 0.06160I
a = −1.14154 + 0.94526I
b = −0.70620 + 1.52862I
11.03550 − 7.90171I 0
u = −1.71387 − 0.06160I
a = −1.14154 − 0.94526I
b = −0.70620 − 1.52862I
11.03550 + 7.90171I 0
u = −1.73811 + 0.42795I
a = 0.308901 + 1.230190I
b = 0.36915 + 1.93930I
6.88769 − 8.79713I 0
u = −1.73811 − 0.42795I
a = 0.308901 − 1.230190I
b = 0.36915 − 1.93930I
6.88769 + 8.79713I 0
u = 1.79169 + 0.07055I
a = −0.261583 + 0.976976I
b = −0.41663 + 1.73139I
10.42930 + 6.50256I 0
u = 1.79169 − 0.07055I
a = −0.261583 − 0.976976I
b = −0.41663 − 1.73139I
10.42930 − 6.50256I 0
u = 1.64355 + 0.76595I
a = 0.238769 − 0.900965I
b = 0.41950 − 2.11559I
11.72410 + 6.43158I 0
u = 1.64355 − 0.76595I
a = 0.238769 + 0.900965I
b = 0.41950 + 2.11559I
11.72410 − 6.43158I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.68129 + 0.68085I
a = 0.302620 − 0.966596I
b = 0.44854 − 2.06992I
12.1359 + 18.6917I 0
u = 1.68129 − 0.68085I
a = 0.302620 + 0.966596I
b = 0.44854 + 2.06992I
12.1359 − 18.6917I 0
u = −1.69699 + 0.70648I
a = −0.294241 − 0.926686I
b = −0.42564 − 2.07282I
7.4972 − 12.8257I 0
u = −1.69699 − 0.70648I
a = −0.294241 + 0.926686I
b = −0.42564 + 2.07282I
7.4972 + 12.8257I 0
u = −1.69723 + 0.77785I
a = −0.007929 + 0.620203I
b = 0.12272 + 1.43695I
11.4882 − 10.1881I 0
u = −1.69723 − 0.77785I
a = −0.007929 − 0.620203I
b = 0.12272 − 1.43695I
11.4882 + 10.1881I 0
u = 1.71891 + 0.77630I
a = 0.086186 + 0.631215I
b = −0.08091 + 1.43690I
7.13405 + 4.39113I 0
u = 1.71891 − 0.77630I
a = 0.086186 − 0.631215I
b = −0.08091 − 1.43690I
7.13405 − 4.39113I 0
u = −1.72140 + 0.77893I
a = −0.120062 + 0.731223I
b = 0.04966 + 1.48739I
11.54170 + 1.44671I 0
u = −1.72140 − 0.77893I
a = −0.120062 − 0.731223I
b = 0.04966 − 1.48739I
11.54170 − 1.44671I 0
15
II.
I
u
2
= h−1.69×10
47
u
40
+1.75×10
46
u
39
+· · ·+3.47×10
46
b−4.11×10
46
, −1.42×
10
47
u
40
+2.07×10
46
u
39
+· · ·+3.47×10
46
a−2.13×10
46
, u
41
−6u
39
+· · ·+u−1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
−u
2
a
7
=
u
u
a
12
=
4.10494u
40
− 0.597656u
39
+ ··· − 9.68616u + 0.613118
4.88015u
40
− 0.503211u
39
+ ··· − 22.9488u + 1.18480
a
8
=
1.61896u
40
+ 1.06371u
39
+ ··· + 2.37068u − 5.64892
6.27049u
40
− 0.774230u
39
+ ··· − 23.0505u + 2.89455
a
5
=
−4.10021u
40
− 2.00801u
39
+ ··· + 8.23459u + 9.78779
−4.19990u
40
+ 0.714138u
39
+ ··· + 23.6296u − 1.09036
a
11
=
4.10494u
40
− 0.597656u
39
+ ··· − 9.68616u + 0.613118
6.09428u
40
− 0.598129u
39
+ ··· − 27.6514u + 1.78246
a
9
=
3.39574u
40
+ 1.37489u
39
+ ··· − 9.42474u − 8.28903
−0.264066u
40
− 0.731061u
39
+ ··· − 3.21100u + 0.123867
a
4
=
−2.01703u
40
− 3.13071u
39
+ ··· − 4.56632u + 9.08980
−1.63251u
40
+ 0.0304092u
39
+ ··· + 2.79024u − 0.101232
a
1
=
3.04921u
40
+ 1.29290u
39
+ ··· − 3.07138u − 6.74857
4.03136u
40
− 0.205834u
39
+ ··· − 14.4390u + 1.15289
a
10
=
3.13168u
40
+ 0.643830u
39
+ ··· − 12.6357u − 8.16516
−0.264066u
40
− 0.731061u
39
+ ··· − 3.21100u + 0.123867
(ii) Obstruction class = 1
(iii) Cusp Shapes = 2.90590u
40
+ 0.762589u
39
+ ··· − 3.05543u − 31.9789
16
(iv) u-Polynomials at the component
17
Crossings u-Polynomials at each crossing
c
1
u
41
− 8u
40
+ ··· − 110u + 17
c
2
u
41
− 6u
39
+ ··· + u − 1
c
3
u
41
− u
39
+ ··· + 134u − 23
c
4
u
41
+ 8u
40
+ ··· − 110u − 17
c
5
u
41
− 12u
40
+ ··· + u − 1
c
6
u
41
− 6u
39
+ ··· + u + 1
c
7
u
41
+ 5u
40
+ ··· − 143u + 23
c
8
u
41
+ 17u
40
+ ··· + 13u + 1
c
9
u
41
− u
40
+ ··· − 4u − 1
c
10
u
41
+ u
40
+ ··· + 5u
2
+ 1
c
11
u
41
− u
40
+ ··· + 6u − 1
c
12
u
41
− 14u
40
+ ··· + 25u − 1
18
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
41
+ 26y
40
+ ··· − 3608y −289
c
2
, c
6
y
41
− 12y
40
+ ··· − 23y −1
c
3
y
41
− 2y
40
+ ··· + 19566y −529
c
5
y
41
− 14y
40
+ ··· − 7y −1
c
7
y
41
− 13y
40
+ ··· − 11613y −529
c
8
y
41
− 11y
40
+ ··· + y −1
c
9
y
41
− 5y
40
+ ··· − 32y −1
c
10
y
41
− 19y
40
+ ··· − 10y −1
c
11
y
41
+ y
40
+ ··· + 30y −1
c
12
y
41
− 10y
40
+ ··· + 81y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.952386 + 0.251132I
a = 0.640121 + 0.296800I
b = 1.02948 + 1.52247I
6.01659 − 5.13303I 9.81131 + 4.55166I
u = 0.952386 − 0.251132I
a = 0.640121 − 0.296800I
b = 1.02948 − 1.52247I
6.01659 + 5.13303I 9.81131 − 4.55166I
u = −1.046820 + 0.027512I
a = −0.841798 − 0.710792I
b = 0.553141 − 0.969862I
6.33047 − 4.87495I 9.54719 + 6.84415I
u = −1.046820 − 0.027512I
a = −0.841798 + 0.710792I
b = 0.553141 + 0.969862I
6.33047 + 4.87495I 9.54719 − 6.84415I
u = −0.338804 + 1.013340I
a = 1.00979 − 1.00121I
b = 0.458673 − 1.085410I
0.54904 − 1.39209I 13.29952 + 0.81015I
u = −0.338804 − 1.013340I
a = 1.00979 + 1.00121I
b = 0.458673 + 1.085410I
0.54904 + 1.39209I 13.29952 − 0.81015I
u = 1.112990 + 0.293760I
a = 0.049525 − 1.130510I
b = −0.40411 − 1.58229I
8.36300 + 1.31554I 10.45063 + 1.44282I
u = 1.112990 − 0.293760I
a = 0.049525 + 1.130510I
b = −0.40411 + 1.58229I
8.36300 − 1.31554I 10.45063 − 1.44282I
u = 0.107389 + 1.161010I
a = −0.529222 + 0.597549I
b = −0.345727 + 0.512197I
1.41761 + 1.46343I 10.39351 − 8.21571I
u = 0.107389 − 1.161010I
a = −0.529222 − 0.597549I
b = −0.345727 − 0.512197I
1.41761 − 1.46343I 10.39351 + 8.21571I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.628142 + 0.988499I
a = −1.11897 − 1.12327I
b = −0.54118 − 1.70590I
0.97631 − 3.82695I −1.6516 + 19.3661I
u = −0.628142 − 0.988499I
a = −1.11897 + 1.12327I
b = −0.54118 + 1.70590I
0.97631 + 3.82695I −1.6516 − 19.3661I
u = 0.470606 + 1.155270I
a = −0.028573 + 0.833511I
b = −0.38785 + 2.81583I
−3.36152 + 4.60110I 15.9012 − 17.2277I
u = 0.470606 − 1.155270I
a = −0.028573 − 0.833511I
b = −0.38785 − 2.81583I
−3.36152 − 4.60110I 15.9012 + 17.2277I
u = −0.340440 + 1.201380I
a = 1.058470 + 0.217118I
b = 0.604047 + 0.112839I
−0.39517 − 1.59433I −2.85896 + 0.56166I
u = −0.340440 − 1.201380I
a = 1.058470 − 0.217118I
b = 0.604047 − 0.112839I
−0.39517 + 1.59433I −2.85896 − 0.56166I
u = −1.386130 + 0.064581I
a = −0.358652 − 0.473522I
b = −0.46464 − 1.51985I
3.02640 − 2.39530I −1.87129 + 1.48070I
u = −1.386130 − 0.064581I
a = −0.358652 + 0.473522I
b = −0.46464 + 1.51985I
3.02640 + 2.39530I −1.87129 − 1.48070I
u = −0.288872 + 0.527859I
a = 0.538198 + 1.237950I
b = −0.142355 − 0.875437I
−2.62958 − 2.90690I −2.41296 − 0.16128I
u = −0.288872 − 0.527859I
a = 0.538198 − 1.237950I
b = −0.142355 + 0.875437I
−2.62958 + 2.90690I −2.41296 + 0.16128I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.38946 + 0.27906I
a = 0.058102 − 0.712453I
b = 0.19621 − 1.83356I
4.67661 − 3.20193I 0. + 4.30217I
u = −1.38946 − 0.27906I
a = 0.058102 + 0.712453I
b = 0.19621 + 1.83356I
4.67661 + 3.20193I 0. − 4.30217I
u = 1.42091
a = 0.649503
b = −1.44910
1.69376 −8.24860
u = −0.140859 + 0.555191I
a = 1.44216 + 1.34118I
b = 0.834945 + 0.113195I
−1.19711 − 1.58029I −2.90372 + 2.25169I
u = −0.140859 − 0.555191I
a = 1.44216 − 1.34118I
b = 0.834945 − 0.113195I
−1.19711 + 1.58029I −2.90372 − 2.25169I
u = 0.142576 + 0.539047I
a = 1.44759 − 1.49240I
b = −0.297912 + 0.034105I
−0.87727 − 4.75233I −3.32637 − 0.85526I
u = 0.142576 − 0.539047I
a = 1.44759 + 1.49240I
b = −0.297912 − 0.034105I
−0.87727 + 4.75233I −3.32637 + 0.85526I
u = 0.348782 + 0.430636I
a = 0.59957 − 2.09957I
b = 0.311611 − 0.221911I
1.52086 + 8.17073I −1.00252 − 12.59870I
u = 0.348782 − 0.430636I
a = 0.59957 + 2.09957I
b = 0.311611 + 0.221911I
1.52086 − 8.17073I −1.00252 + 12.59870I
u = −1.44289 + 0.20281I
a = 0.431228 + 1.105350I
b = 0.62892 + 1.90465I
8.50964 − 5.56667I 0
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.44289 − 0.20281I
a = 0.431228 − 1.105350I
b = 0.62892 − 1.90465I
8.50964 + 5.56667I 0
u = 0.246698 + 0.475195I
a = 0.713294 + 0.778055I
b = 2.50717 − 0.16741I
2.77860 + 8.41441I −4.40112 − 13.05931I
u = 0.246698 − 0.475195I
a = 0.713294 − 0.778055I
b = 2.50717 + 0.16741I
2.77860 − 8.41441I −4.40112 + 13.05931I
u = −0.116557 + 0.481024I
a = −0.500078 + 1.147000I
b = −1.46223 − 0.92861I
−3.05409 − 2.97474I −8.42863 + 3.72667I
u = −0.116557 − 0.481024I
a = −0.500078 − 1.147000I
b = −1.46223 + 0.92861I
−3.05409 + 2.97474I −8.42863 − 3.72667I
u = −0.11872 + 1.53766I
a = 0.0471430 − 0.1297460I
b = −0.050492 + 0.385485I
−4.67861 − 2.75058I 0
u = −0.11872 − 1.53766I
a = 0.0471430 + 0.1297460I
b = −0.050492 − 0.385485I
−4.67861 + 2.75058I 0
u = 1.55421 + 0.14944I
a = −0.402554 − 0.538942I
b = 0.29074 − 1.63409I
9.68536 + 7.26409I 0
u = 1.55421 − 0.14944I
a = −0.402554 + 0.538942I
b = 0.29074 + 1.63409I
9.68536 − 7.26409I 0
u = 1.59160 + 0.12571I
a = −0.580101 + 1.011840I
b = −0.59390 + 1.80039I
7.55413 + 6.62633I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.59160 − 0.12571I
a = −0.580101 − 1.011840I
b = −0.59390 − 1.80039I
7.55413 − 6.62633I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
41
− 8u
40
+ ··· − 110u + 17)(u
110
− 5u
109
+ ··· − 655u + 27)
c
2
(u
41
− 6u
39
+ ··· + u − 1)(u
110
− u
109
+ ··· + 158844u − 23011)
c
3
(u
41
− u
39
+ ··· + 134u − 23)
· (u
110
+ u
109
+ ··· − 27299702743u − 7633881929)
c
4
(u
41
+ 8u
40
+ ··· − 110u − 17)(u
110
− 5u
109
+ ··· − 655u + 27)
c
5
(u
41
− 12u
40
+ ··· + u − 1)(u
110
− 7u
109
+ ··· + 32u − 1)
c
6
(u
41
− 6u
39
+ ··· + u + 1)(u
110
− u
109
+ ··· + 158844u − 23011)
c
7
(u
41
+ 5u
40
+ ··· − 143u + 23)
· (u
110
+ 25u
108
+ ··· + 2741658038u − 256908883)
c
8
(u
41
+ 17u
40
+ ··· + 13u + 1)(u
110
− 6u
109
+ ··· − 132u − 121)
c
9
(u
41
− u
40
+ ··· − 4u − 1)
· (u
110
− 27u
108
+ ··· − 348627733u − 55663493)
c
10
(u
41
+ u
40
+ ··· + 5u
2
+ 1)
· (u
110
+ 4u
109
+ ··· + 979761921u + 106831211)
c
11
(u
41
− u
40
+ ··· + 6u − 1)(u
110
+ 18u
108
+ ··· + 1919803u − 465261)
c
12
(u
41
− 14u
40
+ ··· + 25u − 1)(u
110
− 5u
109
+ ··· − 1146282u + 43209)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
41
+ 26y
40
+ ··· − 3608y −289)
· (y
110
+ 77y
109
+ ··· + 13397y + 729)
c
2
, c
6
(y
41
− 12y
40
+ ··· − 23y −1)
· (y
110
− 93y
109
+ ··· − 21526553292y + 529506121)
c
3
(y
41
− 2y
40
+ ··· + 19566y −529)
· (y
110
− 71y
109
+ ··· − 1.44 × 10
21
y + 5.83 × 10
19
)
c
5
(y
41
− 14y
40
+ ··· − 7y −1)(y
110
− 3y
109
+ ··· − 512y + 1)
c
7
(y
41
− 13y
40
+ ··· − 11613y −529)
· (y
110
+ 50y
109
+ ··· + 1760931224300394538y + 66002174164307689)
c
8
(y
41
− 11y
40
+ ··· + y −1)(y
110
− 40y
109
+ ··· − 2526964y + 14641)
c
9
(y
41
− 5y
40
+ ··· − 32y −1)
· (y
110
− 54y
109
+ ··· − 28826776772721039y + 3098424452961049)
c
10
(y
41
− 19y
40
+ ··· − 10y −1)
· (y
110
− 64y
109
+ ··· − 562423846261318061y + 11412907643726521)
c
11
(y
41
+ y
40
+ ··· + 30y −1)
· (y
110
+ 36y
109
+ ··· + 4003166674991y + 216467798121)
c
12
(y
41
− 10y
40
+ ··· + 81y −1)
· (y
110
− 47y
109
+ ··· − 179416969920y + 1867017681)
27
