12a
0995
(K12a
0995
)
A knot diagram
1
Linearized knot diagam
4 6 12 8 3 10 11 1 5 7 2 9
Solving Sequence
6,10
7 11
3,8
2 12 5 4 1 9
c
6
c
10
c
7
c
2
c
11
c
5
c
4
c
1
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.35632 × 10
467
u
150
− 8.69041 × 10
467
u
149
+ ··· + 6.73414 × 10
467
b + 6.93806 × 10
467
,
2.65827 × 10
466
u
150
+ 7.46190 × 10
466
u
149
+ ··· + 3.54428 × 10
466
a − 1.15630 × 10
467
,
u
151
+ 4u
150
+ ··· + 26u + 1i
I
u
2
= h−14417596468648u
37
− 25796321181488u
36
+ ··· + 382195085957b + 10825424312466,
14395899214974u
37
+ 25420670905160u
36
+ ··· + 382195085957a − 10347718637805,
u
38
+ 3u
37
+ ··· − u − 1i
* 2 irreducible components of dim
C
= 0, with total 189 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−3.36 × 10
467
u
150
− 8.69 × 10
467
u
149
+ · · · + 6.73 × 10
467
b + 6.94 ×
10
467
, 2.66 × 10
466
u
150
+ 7.46 × 10
466
u
149
+ · · · + 3.54 × 10
466
a − 1.16 ×
10
467
, u
151
+ 4u
150
+ · · · + 26u + 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
7
=
1
u
2
a
11
=
−u
−u
3
+ u
a
3
=
−0.750016u
150
− 2.10533u
149
+ ··· − 84.6390u + 3.26243
0.498403u
150
+ 1.29050u
149
+ ··· + 4.04650u − 1.03028
a
8
=
−u
2
+ 1
−u
4
+ 2u
2
a
2
=
−0.251613u
150
− 0.814833u
149
+ ··· − 80.5925u + 2.23215
0.498403u
150
+ 1.29050u
149
+ ··· + 4.04650u − 1.03028
a
12
=
−1.81156u
150
− 5.12541u
149
+ ··· − 73.5438u − 3.48296
0.701601u
150
+ 1.98724u
149
+ ··· + 17.9096u + 0.546640
a
5
=
0.762762u
150
+ 2.12787u
149
+ ··· − 20.7718u + 8.68380
0.119785u
150
+ 0.277047u
149
+ ··· − 14.1821u − 1.93078
a
4
=
1.16708u
150
+ 3.11306u
149
+ ··· − 25.2460u + 7.13811
−0.105342u
150
− 0.345664u
149
+ ··· − 17.9438u − 2.08478
a
1
=
−0.917232u
150
− 2.79859u
149
+ ··· − 107.834u − 9.34102
0.486123u
150
+ 1.36162u
149
+ ··· + 30.0144u + 1.47747
a
9
=
1.34444u
150
+ 4.03153u
149
+ ··· + 142.105u + 3.18649
−0.505240u
150
− 1.32977u
149
+ ··· − 21.2376u − 0.205060
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.07674u
150
− 1.80766u
149
+ ··· + 217.448u − 18.3877
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
151
− 9u
150
+ ··· − 6836u + 1689
c
2
, c
5
u
151
+ 9u
150
+ ··· − 1990u + 1825
c
3
u
151
+ 3u
150
+ ··· + 1987u + 97
c
4
u
151
+ 6u
150
+ ··· − 130250u + 29375
c
6
, c
7
, c
10
u
151
+ 4u
150
+ ··· + 26u + 1
c
8
, c
12
u
151
+ 46u
149
+ ··· + 886u + 149
c
9
u
151
− 2u
150
+ ··· − 4383642u + 726827
c
11
u
151
− 15u
150
+ ··· − 31153u + 6533
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
151
+ 21y
150
+ ··· − 147730430y −2852721
c
2
, c
5
y
151
+ 79y
150
+ ··· − 91731950y −3330625
c
3
y
151
+ 33y
150
+ ··· + 3420489y −9409
c
4
y
151
+ 8y
150
+ ··· − 145840000000y −862890625
c
6
, c
7
, c
10
y
151
− 146y
150
+ ··· + 122y −1
c
8
, c
12
y
151
+ 92y
150
+ ··· − 812880y −22201
c
9
y
151
+ 2y
150
+ ··· + 63007761680138y −528277487929
c
11
y
151
− 15y
150
+ ··· − 3528388777y −42680089
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.395913 + 0.922675I
a = 0.30920 + 1.74932I
b = 0.539768 − 1.161120I
1.82224 + 8.97850I 0
u = −0.395913 − 0.922675I
a = 0.30920 − 1.74932I
b = 0.539768 + 1.161120I
1.82224 − 8.97850I 0
u = 0.432562 + 0.907676I
a = 0.58466 − 1.72016I
b = 0.329417 + 1.132480I
7.43003 − 3.11821I 0
u = 0.432562 − 0.907676I
a = 0.58466 + 1.72016I
b = 0.329417 − 1.132480I
7.43003 + 3.11821I 0
u = 0.398506 + 0.910380I
a = 0.25475 − 1.88780I
b = 0.581934 + 1.258300I
5.7689 − 15.1043I 0
u = 0.398506 − 0.910380I
a = 0.25475 + 1.88780I
b = 0.581934 − 1.258300I
5.7689 + 15.1043I 0
u = 1.051460 + 0.031799I
a = 0.572699 + 0.846716I
b = −0.220280 − 1.212270I
1.50497 − 3.62679I 0
u = 1.051460 − 0.031799I
a = 0.572699 − 0.846716I
b = −0.220280 + 1.212270I
1.50497 + 3.62679I 0
u = −0.598347 + 0.666097I
a = −0.16850 − 1.52968I
b = −0.478723 + 1.274520I
3.59961 + 5.85301I 0
u = −0.598347 − 0.666097I
a = −0.16850 + 1.52968I
b = −0.478723 − 1.274520I
3.59961 − 5.85301I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.790166 + 0.419125I
a = 0.923399 + 0.679091I
b = −0.172002 − 0.888623I
−0.026731 + 0.249329I 0
u = −0.790166 − 0.419125I
a = 0.923399 − 0.679091I
b = −0.172002 + 0.888623I
−0.026731 − 0.249329I 0
u = 0.862566 + 0.769640I
a = −0.658978 + 0.892280I
b = 0.462248 − 1.114990I
4.43962 + 9.42483I 0
u = 0.862566 − 0.769640I
a = −0.658978 − 0.892280I
b = 0.462248 + 1.114990I
4.43962 − 9.42483I 0
u = −0.899348 + 0.752807I
a = −0.450036 − 0.841376I
b = 0.409776 + 1.015980I
0.38102 − 3.25469I 0
u = −0.899348 − 0.752807I
a = −0.450036 + 0.841376I
b = 0.409776 − 1.015980I
0.38102 + 3.25469I 0
u = −0.285479 + 0.776322I
a = 1.33386 + 1.43737I
b = −0.228862 − 1.046640I
4.65161 − 1.17305I 0
u = −0.285479 − 0.776322I
a = 1.33386 − 1.43737I
b = −0.228862 + 1.046640I
4.65161 + 1.17305I 0
u = 0.466976 + 1.086610I
a = −0.05581 + 1.53114I
b = −0.239066 − 1.124310I
6.47214 − 4.06326I 0
u = 0.466976 − 1.086610I
a = −0.05581 − 1.53114I
b = −0.239066 + 1.124310I
6.47214 + 4.06326I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.467316 + 0.645610I
a = 0.50155 + 1.73448I
b = 0.265133 − 0.564344I
−1.121110 + 0.012098I 0
u = −0.467316 − 0.645610I
a = 0.50155 − 1.73448I
b = 0.265133 + 0.564344I
−1.121110 − 0.012098I 0
u = 0.639968 + 0.473480I
a = −0.079364 − 0.504106I
b = 0.352919 − 0.419281I
2.60382 − 3.71655I 0
u = 0.639968 − 0.473480I
a = −0.079364 + 0.504106I
b = 0.352919 + 0.419281I
2.60382 + 3.71655I 0
u = −0.287870 + 0.741226I
a = −0.03917 − 2.02126I
b = −0.524280 + 1.132570I
1.57214 + 3.89522I 0
u = −0.287870 − 0.741226I
a = −0.03917 + 2.02126I
b = −0.524280 − 1.132570I
1.57214 − 3.89522I 0
u = 1.198490 + 0.176927I
a = 1.44258 − 0.34480I
b = 0.836368 + 0.866080I
2.44809 − 7.61183I 0
u = 1.198490 − 0.176927I
a = 1.44258 + 0.34480I
b = 0.836368 − 0.866080I
2.44809 + 7.61183I 0
u = −1.221370 + 0.080433I
a = 0.42076 + 1.71830I
b = −0.15014 − 1.44954I
4.28980 − 3.56524I 0
u = −1.221370 − 0.080433I
a = 0.42076 − 1.71830I
b = −0.15014 + 1.44954I
4.28980 + 3.56524I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.392201 + 0.657414I
a = −0.642889 + 0.199459I
b = 1.027630 − 0.163312I
2.40740 − 9.40150I 0
u = 0.392201 − 0.657414I
a = −0.642889 − 0.199459I
b = 1.027630 + 0.163312I
2.40740 + 9.40150I 0
u = 1.233800 + 0.082428I
a = −0.077203 + 0.973153I
b = −0.06891 − 1.50286I
0.69463 − 3.33644I 0
u = 1.233800 − 0.082428I
a = −0.077203 − 0.973153I
b = −0.06891 + 1.50286I
0.69463 + 3.33644I 0
u = 0.965997 + 0.776238I
a = −0.313323 + 1.159710I
b = 0.175814 − 0.995769I
6.05310 − 2.71735I 0
u = 0.965997 − 0.776238I
a = −0.313323 − 1.159710I
b = 0.175814 + 0.995769I
6.05310 + 2.71735I 0
u = −0.394715 + 0.648092I
a = −0.322974 − 0.363590I
b = 0.817048 + 0.245952I
−0.90520 + 3.98675I 0
u = −0.394715 − 0.648092I
a = −0.322974 + 0.363590I
b = 0.817048 − 0.245952I
−0.90520 − 3.98675I 0
u = 0.470426 + 0.590997I
a = −0.10378 − 1.77112I
b = 0.528302 + 0.317611I
2.06938 + 5.38468I 0
u = 0.470426 − 0.590997I
a = −0.10378 + 1.77112I
b = 0.528302 − 0.317611I
2.06938 − 5.38468I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.196281 + 0.707481I
a = 1.12029 − 1.12234I
b = −0.060722 + 0.802937I
3.55125 + 0.41556I 0
u = 0.196281 − 0.707481I
a = 1.12029 + 1.12234I
b = −0.060722 − 0.802937I
3.55125 − 0.41556I 0
u = −1.227590 + 0.321086I
a = 0.025930 − 0.485104I
b = 0.406478 + 1.190100I
1.70515 − 0.70564I 0
u = −1.227590 − 0.321086I
a = 0.025930 + 0.485104I
b = 0.406478 − 1.190100I
1.70515 + 0.70564I 0
u = 1.275920 + 0.022449I
a = −2.45049 + 0.53181I
b = −0.123232 − 0.732183I
0.56365 + 5.79801I 0
u = 1.275920 − 0.022449I
a = −2.45049 − 0.53181I
b = −0.123232 + 0.732183I
0.56365 − 5.79801I 0
u = −1.261800 + 0.214920I
a = 1.192400 + 0.393611I
b = 0.580363 − 0.909025I
−0.50677 + 2.23772I 0
u = −1.261800 − 0.214920I
a = 1.192400 − 0.393611I
b = 0.580363 + 0.909025I
−0.50677 − 2.23772I 0
u = 1.271900 + 0.167056I
a = 1.172710 − 0.182178I
b = 0.566156 + 1.187640I
3.85134 + 1.89307I 0
u = 1.271900 − 0.167056I
a = 1.172710 + 0.182178I
b = 0.566156 − 1.187640I
3.85134 − 1.89307I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.290725 + 0.650679I
a = 0.199721 − 0.356884I
b = 0.530763 + 0.237368I
3.78492 − 0.12194I 0
u = 0.290725 − 0.650679I
a = 0.199721 + 0.356884I
b = 0.530763 − 0.237368I
3.78492 + 0.12194I 0
u = −1.248970 + 0.334674I
a = −0.75589 − 1.46384I
b = −0.500992 + 0.693182I
−3.82438 + 3.34998I 0
u = −1.248970 − 0.334674I
a = −0.75589 + 1.46384I
b = −0.500992 − 0.693182I
−3.82438 − 3.34998I 0
u = 0.068955 + 0.699239I
a = 0.14091 + 1.70069I
b = 0.592341 − 1.094560I
5.73729 + 4.43088I 0
u = 0.068955 − 0.699239I
a = 0.14091 − 1.70069I
b = 0.592341 + 1.094560I
5.73729 − 4.43088I 0
u = 0.265498 + 0.646748I
a = −0.44365 + 2.56882I
b = −0.55319 − 1.34067I
3.19026 − 6.44191I −12.0000 + 11.4713I
u = 0.265498 − 0.646748I
a = −0.44365 − 2.56882I
b = −0.55319 + 1.34067I
3.19026 + 6.44191I −12.0000 − 11.4713I
u = −0.128914 + 0.686799I
a = 0.48784 − 1.91211I
b = −0.631900 + 0.805408I
0.86655 + 3.84705I −12.0000 − 7.8791I
u = −0.128914 − 0.686799I
a = 0.48784 + 1.91211I
b = −0.631900 − 0.805408I
0.86655 − 3.84705I −12.0000 + 7.8791I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.296260 + 0.133686I
a = −0.262178 − 0.741476I
b = 0.12648 + 1.75568I
3.97356 + 6.66748I 0
u = −1.296260 − 0.133686I
a = −0.262178 + 0.741476I
b = 0.12648 − 1.75568I
3.97356 − 6.66748I 0
u = −1.308940 + 0.014853I
a = −1.62132 + 0.66875I
b = −0.490491 − 0.842042I
−3.89591 + 0.91839I 0
u = −1.308940 − 0.014853I
a = −1.62132 − 0.66875I
b = −0.490491 + 0.842042I
−3.89591 − 0.91839I 0
u = 1.322800 + 0.009344I
a = −0.848439 + 1.093570I
b = −0.54209 − 1.32608I
−1.48603 − 3.84847I 0
u = 1.322800 − 0.009344I
a = −0.848439 − 1.093570I
b = −0.54209 + 1.32608I
−1.48603 + 3.84847I 0
u = 0.459948 + 0.480036I
a = −0.742762 + 1.117410I
b = −0.426714 − 1.166170I
2.19251 − 3.91255I −9.93504 + 2.80464I
u = 0.459948 − 0.480036I
a = −0.742762 − 1.117410I
b = −0.426714 + 1.166170I
2.19251 + 3.91255I −9.93504 − 2.80464I
u = 0.107507 + 0.628166I
a = 0.78778 − 1.64930I
b = 0.229799 + 1.109420I
3.69200 + 0.88634I −5.67830 − 1.96706I
u = 0.107507 − 0.628166I
a = 0.78778 + 1.64930I
b = 0.229799 − 1.109420I
3.69200 − 0.88634I −5.67830 + 1.96706I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.361760 + 0.136901I
a = −0.564547 − 0.578178I
b = −1.297910 − 0.250636I
−6.02457 + 2.64112I 0
u = −1.361760 − 0.136901I
a = −0.564547 + 0.578178I
b = −1.297910 + 0.250636I
−6.02457 − 2.64112I 0
u = −1.353360 + 0.258344I
a = 1.023270 + 0.363947I
b = 0.267150 − 0.491798I
−1.27388 + 3.07615I 0
u = −1.353360 − 0.258344I
a = 1.023270 − 0.363947I
b = 0.267150 + 0.491798I
−1.27388 − 3.07615I 0
u = 1.388200 + 0.141062I
a = −0.154978 + 0.438599I
b = −1.36741 + 0.54957I
−6.20225 − 0.29066I 0
u = 1.388200 − 0.141062I
a = −0.154978 − 0.438599I
b = −1.36741 − 0.54957I
−6.20225 + 0.29066I 0
u = −1.399770 + 0.062318I
a = −0.497121 + 0.174045I
b = −1.37614 − 0.61423I
−5.97812 − 0.65707I 0
u = −1.399770 − 0.062318I
a = −0.497121 − 0.174045I
b = −1.37614 + 0.61423I
−5.97812 + 0.65707I 0
u = −1.388790 + 0.188853I
a = 0.266866 − 0.041810I
b = −0.704926 − 0.828542I
−3.20648 − 1.42275I 0
u = −1.388790 − 0.188853I
a = 0.266866 + 0.041810I
b = −0.704926 + 0.828542I
−3.20648 + 1.42275I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.394520 + 0.159441I
a = −1.87179 + 0.17410I
b = −0.291289 − 1.138590I
2.34288 − 7.63921I 0
u = 1.394520 − 0.159441I
a = −1.87179 − 0.17410I
b = −0.291289 + 1.138590I
2.34288 + 7.63921I 0
u = 1.373330 + 0.292896I
a = 1.290640 − 0.465002I
b = −0.046045 + 0.785237I
−0.52152 − 2.68073I 0
u = 1.373330 − 0.292896I
a = 1.290640 + 0.465002I
b = −0.046045 − 0.785237I
−0.52152 + 2.68073I 0
u = 0.983070 + 1.009910I
a = 0.469754 − 0.962394I
b = −0.080777 + 0.895256I
5.19721 − 3.03779I 0
u = 0.983070 − 1.009910I
a = 0.469754 + 0.962394I
b = −0.080777 − 0.895256I
5.19721 + 3.03779I 0
u = 1.38600 + 0.30864I
a = −0.82841 + 1.23836I
b = −0.756191 − 1.083990I
−3.97014 − 7.58303I 0
u = 1.38600 − 0.30864I
a = −0.82841 − 1.23836I
b = −0.756191 + 1.083990I
−3.97014 + 7.58303I 0
u = −1.40763 + 0.25231I
a = −1.26003 − 1.09906I
b = −0.69981 + 1.40966I
−2.16246 + 9.72845I 0
u = −1.40763 − 0.25231I
a = −1.26003 + 1.09906I
b = −0.69981 − 1.40966I
−2.16246 − 9.72845I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.42045 + 0.20751I
a = 0.592511 + 0.128313I
b = 0.604947 + 0.174650I
−1.64361 + 3.17831I 0
u = −1.42045 − 0.20751I
a = 0.592511 − 0.128313I
b = 0.604947 − 0.174650I
−1.64361 − 3.17831I 0
u = 1.43607 + 0.09953I
a = −0.252449 − 0.039186I
b = −1.366660 + 0.281304I
−6.63863 − 1.86881I 0
u = 1.43607 − 0.09953I
a = −0.252449 + 0.039186I
b = −1.366660 − 0.281304I
−6.63863 + 1.86881I 0
u = 1.43790 + 0.14720I
a = −0.1103850 − 0.0066734I
b = −0.987233 + 0.285377I
−6.29510 − 1.52422I 0
u = 1.43790 − 0.14720I
a = −0.1103850 + 0.0066734I
b = −0.987233 − 0.285377I
−6.29510 + 1.52422I 0
u = 1.41835 + 0.29295I
a = −0.89887 + 1.13729I
b = −0.74061 − 1.22575I
−3.87520 − 7.64567I 0
u = 1.41835 − 0.29295I
a = −0.89887 − 1.13729I
b = −0.74061 + 1.22575I
−3.87520 + 7.64567I 0
u = −1.44420 + 0.15774I
a = 1.33023 + 1.62255I
b = 0.342815 − 1.142610I
−2.09785 + 8.62195I 0
u = −1.44420 − 0.15774I
a = 1.33023 − 1.62255I
b = 0.342815 + 1.142610I
−2.09785 − 8.62195I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.482641 + 0.225116I
a = −0.175110 − 0.409993I
b = −0.370798 − 0.961784I
1.81686 − 3.71061I −11.64852 + 7.11033I
u = 0.482641 − 0.225116I
a = −0.175110 + 0.409993I
b = −0.370798 + 0.961784I
1.81686 + 3.71061I −11.64852 − 7.11033I
u = 1.45667 + 0.24433I
a = 0.236039 − 0.195747I
b = 1.092940 − 0.403525I
−6.86533 − 7.26367I 0
u = 1.45667 − 0.24433I
a = 0.236039 + 0.195747I
b = 1.092940 + 0.403525I
−6.86533 + 7.26367I 0
u = −1.45603 + 0.24861I
a = 0.173127 + 0.314033I
b = 1.283430 + 0.314233I
−3.53837 + 12.72520I 0
u = −1.45603 − 0.24861I
a = 0.173127 − 0.314033I
b = 1.283430 − 0.314233I
−3.53837 − 12.72520I 0
u = −0.028786 + 0.517740I
a = 0.81457 + 2.29615I
b = 0.28053 − 1.45206I
7.88035 − 4.42352I −1.87054 + 3.58395I
u = −0.028786 − 0.517740I
a = 0.81457 − 2.29615I
b = 0.28053 + 1.45206I
7.88035 + 4.42352I −1.87054 − 3.58395I
u = 1.47154 + 0.19362I
a = 0.90147 − 1.13844I
b = 0.458659 + 0.994130I
−7.54568 − 2.89339I 0
u = 1.47154 − 0.19362I
a = 0.90147 + 1.13844I
b = 0.458659 − 0.994130I
−7.54568 + 2.89339I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.48248 + 0.14758I
a = −0.456361 + 0.205470I
b = −0.644756 + 0.495195I
−4.54822 + 5.43952I 0
u = −1.48248 − 0.14758I
a = −0.456361 − 0.205470I
b = −0.644756 − 0.495195I
−4.54822 − 5.43952I 0
u = −1.47633 + 0.20618I
a = −0.848364 − 0.497921I
b = −0.748457 + 1.145330I
−4.08967 + 6.59028I 0
u = −1.47633 − 0.20618I
a = −0.848364 + 0.497921I
b = −0.748457 − 1.145330I
−4.08967 − 6.59028I 0
u = −1.48391 + 0.19171I
a = 0.590773 + 1.031500I
b = 0.546235 − 0.874362I
−4.33484 − 2.49145I 0
u = −1.48391 − 0.19171I
a = 0.590773 − 1.031500I
b = 0.546235 + 0.874362I
−4.33484 + 2.49145I 0
u = −0.165706 + 0.450236I
a = −2.83180 − 2.91509I
b = −0.162540 + 1.304730I
7.40940 + 5.41990I 0.43513 − 7.12665I
u = −0.165706 − 0.450236I
a = −2.83180 + 2.91509I
b = −0.162540 − 1.304730I
7.40940 − 5.41990I 0.43513 + 7.12665I
u = −0.445265 + 0.142823I
a = 1.035940 − 0.399197I
b = −0.885753 − 0.258938I
−0.87833 − 1.17215I −16.9095 + 3.7953I
u = −0.445265 − 0.142823I
a = 1.035940 + 0.399197I
b = −0.885753 + 0.258938I
−0.87833 + 1.17215I −16.9095 − 3.7953I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.49380 + 0.34827I
a = 1.00962 + 1.09612I
b = 0.70583 − 1.32097I
−0.3035 + 19.6529I 0
u = −1.49380 − 0.34827I
a = 1.00962 − 1.09612I
b = 0.70583 + 1.32097I
−0.3035 − 19.6529I 0
u = −0.458680 + 0.077305I
a = 3.31078 + 1.12935I
b = 0.097322 − 0.668829I
−0.687739 + 0.795629I −14.2212 − 7.9793I
u = −0.458680 − 0.077305I
a = 3.31078 − 1.12935I
b = 0.097322 + 0.668829I
−0.687739 − 0.795629I −14.2212 + 7.9793I
u = 1.51374 + 0.25636I
a = −0.663338 + 0.810282I
b = −0.77519 − 1.35395I
−3.19998 − 9.31869I 0
u = 1.51374 − 0.25636I
a = −0.663338 − 0.810282I
b = −0.77519 + 1.35395I
−3.19998 + 9.31869I 0
u = 1.49706 + 0.35112I
a = 0.99643 − 1.02943I
b = 0.678137 + 1.220980I
−4.2594 − 13.5773I 0
u = 1.49706 − 0.35112I
a = 0.99643 + 1.02943I
b = 0.678137 − 1.220980I
−4.2594 + 13.5773I 0
u = −1.51250 + 0.33148I
a = 1.08247 + 0.93181I
b = 0.495184 − 1.155070I
1.14976 + 7.58504I 0
u = −1.51250 − 0.33148I
a = 1.08247 − 0.93181I
b = 0.495184 + 1.155070I
1.14976 − 7.58504I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.50399 + 0.39832I
a = −0.615515 − 1.085130I
b = −0.446157 + 1.299990I
0.26179 + 9.32717I 0
u = −1.50399 − 0.39832I
a = −0.615515 + 1.085130I
b = −0.446157 − 1.299990I
0.26179 − 9.32717I 0
u = −1.55238 + 0.12872I
a = 0.028752 + 0.539203I
b = 0.143653 + 0.350303I
−4.68327 + 5.84719I 0
u = −1.55238 − 0.12872I
a = 0.028752 − 0.539203I
b = 0.143653 − 0.350303I
−4.68327 − 5.84719I 0
u = 0.293368 + 0.325282I
a = 2.22644 − 5.15575I
b = 0.273689 + 0.932741I
3.65495 − 6.65848I −7.5941 + 13.3955I
u = 0.293368 − 0.325282I
a = 2.22644 + 5.15575I
b = 0.273689 − 0.932741I
3.65495 + 6.65848I −7.5941 − 13.3955I
u = 0.299744 + 0.281324I
a = 2.14422 − 0.94982I
b = −0.429702 + 1.088460I
2.02119 + 3.47303I −11.57548 − 3.68608I
u = 0.299744 − 0.281324I
a = 2.14422 + 0.94982I
b = −0.429702 − 1.088460I
2.02119 − 3.47303I −11.57548 + 3.68608I
u = 1.60842 + 0.05916I
a = 0.284118 + 0.039038I
b = 0.410167 − 0.623452I
−8.77342 + 0.82140I 0
u = 1.60842 − 0.05916I
a = 0.284118 − 0.039038I
b = 0.410167 + 0.623452I
−8.77342 − 0.82140I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.160233 + 0.351246I
a = 0.85875 + 1.54908I
b = −0.449690 − 0.068646I
−0.697061 − 0.212567I −13.66753 + 0.13954I
u = −0.160233 − 0.351246I
a = 0.85875 − 1.54908I
b = −0.449690 + 0.068646I
−0.697061 + 0.212567I −13.66753 − 0.13954I
u = 0.248350 + 0.280663I
a = 0.78367 + 1.20017I
b = −0.970508 − 0.062762I
−1.09332 − 0.92676I −15.5657 + 7.3109I
u = 0.248350 − 0.280663I
a = 0.78367 − 1.20017I
b = −0.970508 + 0.062762I
−1.09332 + 0.92676I −15.5657 − 7.3109I
u = −0.364852
a = 1.08276
b = −0.246816
−0.651812 −15.2950
u = 1.63867 + 0.02918I
a = 1.050020 − 0.165177I
b = 0.352944 + 0.832227I
−8.55558 − 1.56892I 0
u = 1.63867 − 0.02918I
a = 1.050020 + 0.165177I
b = 0.352944 − 0.832227I
−8.55558 + 1.56892I 0
u = −1.66546 + 0.00645I
a = 0.108554 − 0.246590I
b = 0.413549 + 0.672361I
−5.01229 − 6.58318I 0
u = −1.66546 − 0.00645I
a = 0.108554 + 0.246590I
b = 0.413549 − 0.672361I
−5.01229 + 6.58318I 0
u = −0.0431775 + 0.0361201I
a = 6.94439 − 2.59821I
b = −1.172360 − 0.229584I
−1.05061 − 1.12049I −28.1544 + 9.6037I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.0431775 − 0.0361201I
a = 6.94439 + 2.59821I
b = −1.172360 + 0.229584I
−1.05061 + 1.12049I −28.1544 − 9.6037I
20
II.
I
u
2
= h−1.44×10
13
u
37
−2.58×10
13
u
36
+· · ·+3.82×10
11
b+1.08×10
13
, 1.44×
10
13
u
37
+2.54×10
13
u
36
+· · ·+3.82×10
11
a−1.03×10
13
, u
38
+3u
37
+· · ·−u−1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
7
=
1
u
2
a
11
=
−u
−u
3
+ u
a
3
=
−37.6664u
37
− 66.5123u
36
+ ··· + 11.4758u + 27.0744
37.7231u
37
+ 67.4952u
36
+ ··· − 6.41289u − 28.3243
a
8
=
−u
2
+ 1
−u
4
+ 2u
2
a
2
=
0.0567701u
37
+ 0.982876u
36
+ ··· + 5.06287u − 1.24990
37.7231u
37
+ 67.4952u
36
+ ··· − 6.41289u − 28.3243
a
12
=
55.4262u
37
+ 97.8513u
36
+ ··· − 15.4625u − 44.2493
−32.1694u
37
− 52.9489u
36
+ ··· + 9.44269u + 23.7990
a
5
=
−40.1499u
37
− 71.1073u
36
+ ··· + 1.16726u + 35.0990
7.08803u
37
+ 12.2427u
36
+ ··· − 2.41647u − 4.56722
a
4
=
−49.1014u
37
− 86.9036u
36
+ ··· + 3.02309u + 41.1669
18.4481u
37
+ 32.2209u
36
+ ··· − 4.18689u − 13.4725
a
1
=
−53.7293u
37
− 94.9277u
36
+ ··· + 12.5524u + 41.0974
6.19820u
37
+ 10.2091u
36
+ ··· − 4.24099u − 1.22419
a
9
=
−62.5444u
37
− 107.503u
36
+ ··· + 13.5992u + 48.3800
106.743u
37
+ 185.599u
36
+ ··· − 17.6938u − 87.3072
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
54171862183872
382195085957
u
37
−
96482424360244
382195085957
u
36
+ ··· +
11659328615494
382195085957
u +
44003727995628
382195085957
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
38
− 4u
37
+ ··· − 3u + 1
c
2
u
38
− 14u
37
+ ··· − 49u + 5
c
3
u
38
− 2u
37
+ ··· + 6u + 1
c
4
u
38
+ u
37
+ ··· + 5u − 1
c
5
u
38
+ 14u
37
+ ··· + 49u + 5
c
6
, c
7
u
38
+ 3u
37
+ ··· − u − 1
c
8
u
38
+ 3u
37
+ ··· − 3u − 5
c
9
u
38
+ u
37
+ ··· − 93u − 25
c
10
u
38
− 3u
37
+ ··· + u − 1
c
11
u
38
− 2u
37
+ ··· + 84u + 25
c
12
u
38
− 3u
37
+ ··· + 3u − 5
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
38
− 6y
37
+ ··· + 23y + 1
c
2
, c
5
y
38
+ 20y
37
+ ··· + 499y + 25
c
3
y
38
+ 26y
37
+ ··· + 12y + 1
c
4
y
38
− 15y
37
+ ··· + 5y + 1
c
6
, c
7
, c
10
y
38
− 41y
37
+ ··· − 5y + 1
c
8
, c
12
y
38
+ 21y
37
+ ··· + 401y + 25
c
9
y
38
+ 15y
37
+ ··· + 551y + 625
c
11
y
38
− 26y
37
+ ··· + 1194y + 625
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.859266 + 0.368693I
a = 0.175718 − 0.330830I
b = −0.278786 + 1.112480I
1.25814 + 1.93262I −9.88591 − 3.16017I
u = 0.859266 − 0.368693I
a = 0.175718 + 0.330830I
b = −0.278786 − 1.112480I
1.25814 − 1.93262I −9.88591 + 3.16017I
u = 1.124330 + 0.019984I
a = 0.183773 − 0.852803I
b = −0.210201 + 1.388410I
1.07759 + 2.72612I −12.00000 + 3.09347I
u = 1.124330 − 0.019984I
a = 0.183773 + 0.852803I
b = −0.210201 − 1.388410I
1.07759 − 2.72612I −12.00000 − 3.09347I
u = −0.609311 + 0.962052I
a = −0.29247 − 1.53193I
b = −0.218251 + 1.074160I
5.96143 + 4.17639I −12.0000 − 9.6189I
u = −0.609311 − 0.962052I
a = −0.29247 + 1.53193I
b = −0.218251 − 1.074160I
5.96143 − 4.17639I −12.0000 + 9.6189I
u = −1.250820 + 0.017997I
a = 0.92055 + 1.07407I
b = 0.02632 − 1.51024I
3.76327 − 4.60753I 0
u = −1.250820 − 0.017997I
a = 0.92055 − 1.07407I
b = 0.02632 + 1.51024I
3.76327 + 4.60753I 0
u = 1.249410 + 0.236783I
a = 1.51764 − 0.95300I
b = 0.140287 + 0.596985I
−3.04204 − 2.57872I 0
u = 1.249410 − 0.236783I
a = 1.51764 + 0.95300I
b = 0.140287 − 0.596985I
−3.04204 + 2.57872I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.294200 + 0.096935I
a = 2.31084 + 0.56353I
b = 0.386974 − 0.773655I
0.34651 + 7.02010I 0
u = −1.294200 − 0.096935I
a = 2.31084 − 0.56353I
b = 0.386974 + 0.773655I
0.34651 − 7.02010I 0
u = 0.330023 + 0.597429I
a = −0.36035 + 1.85679I
b = −0.554308 − 1.264460I
2.78563 − 5.02798I −8.27973 + 6.51996I
u = 0.330023 − 0.597429I
a = −0.36035 − 1.85679I
b = −0.554308 + 1.264460I
2.78563 + 5.02798I −8.27973 − 6.51996I
u = 0.491553 + 0.432403I
a = −1.77071 + 2.38937I
b = −0.127262 − 0.728704I
−0.371497 + 0.007237I −5.73743 − 0.08040I
u = 0.491553 − 0.432403I
a = −1.77071 − 2.38937I
b = −0.127262 + 0.728704I
−0.371497 − 0.007237I −5.73743 + 0.08040I
u = 1.358160 + 0.101247I
a = −0.516411 + 0.297232I
b = −1.365550 + 0.091506I
−5.26534 − 2.39484I 0
u = 1.358160 − 0.101247I
a = −0.516411 − 0.297232I
b = −1.365550 − 0.091506I
−5.26534 + 2.39484I 0
u = −0.949326 + 0.984640I
a = 0.370389 + 0.952334I
b = −0.140179 − 0.876851I
5.10834 + 2.74797I 0
u = −0.949326 − 0.984640I
a = 0.370389 − 0.952334I
b = −0.140179 + 0.876851I
5.10834 − 2.74797I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.382580 + 0.130806I
a = −0.256754 − 0.265819I
b = −1.44483 − 0.54599I
−5.71831 + 0.55183I 0
u = −1.382580 − 0.130806I
a = −0.256754 + 0.265819I
b = −1.44483 + 0.54599I
−5.71831 − 0.55183I 0
u = −0.537172 + 0.141991I
a = −1.73560 − 0.70712I
b = −0.059145 + 1.333020I
6.43473 + 5.01326I −7.73429 − 4.82561I
u = −0.537172 − 0.141991I
a = −1.73560 + 0.70712I
b = −0.059145 − 1.333020I
6.43473 − 5.01326I −7.73429 + 4.82561I
u = −1.43837 + 0.26122I
a = −0.898407 − 0.930294I
b = −0.79564 + 1.31551I
−2.95007 + 8.28346I 0
u = −1.43837 − 0.26122I
a = −0.898407 + 0.930294I
b = −0.79564 − 1.31551I
−2.95007 − 8.28346I 0
u = 1.46891 + 0.25196I
a = −0.99081 + 1.05453I
b = −0.439317 − 1.265220I
−0.59078 − 8.01571I 0
u = 1.46891 − 0.25196I
a = −0.99081 − 1.05453I
b = −0.439317 + 1.265220I
−0.59078 + 8.01571I 0
u = 0.482771
a = −0.388056
b = −0.584916
−1.85343 −21.8960
u = −1.54190
a = −0.425930
b = −0.482360
−8.78782 0
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.397980 + 0.178255I
a = −4.06482 − 2.10886I
b = 0.225393 + 0.757206I
3.56960 − 5.96026I −7.50877 + 2.08306I
u = −0.397980 − 0.178255I
a = −4.06482 + 2.10886I
b = 0.225393 − 0.757206I
3.56960 + 5.96026I −7.50877 − 2.08306I
u = 1.60137 + 0.10269I
a = −0.154181 + 0.208591I
b = 0.017121 + 0.601807I
−4.24429 − 6.01098I 0
u = 1.60137 − 0.10269I
a = −0.154181 − 0.208591I
b = 0.017121 − 0.601807I
−4.24429 + 6.01098I 0
u = −1.64831 + 0.03460I
a = −1.040020 − 0.205206I
b = −0.344348 + 0.839776I
−8.50395 + 1.53610I 0
u = −1.64831 − 0.03460I
a = −1.040020 + 0.205206I
b = −0.344348 − 0.839776I
−8.50395 − 1.53610I 0
u = 0.054610 + 0.285264I
a = 1.008620 − 0.438737I
b = −1.284650 + 0.250589I
−0.878057 + 1.043190I 11.01358 + 7.74779I
u = 0.054610 − 0.285264I
a = 1.008620 + 0.438737I
b = −1.284650 − 0.250589I
−0.878057 − 1.043190I 11.01358 − 7.74779I
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
38
− 4u
37
+ ··· − 3u + 1)(u
151
− 9u
150
+ ··· − 6836u + 1689)
c
2
(u
38
− 14u
37
+ ··· − 49u + 5)(u
151
+ 9u
150
+ ··· − 1990u + 1825)
c
3
(u
38
− 2u
37
+ ··· + 6u + 1)(u
151
+ 3u
150
+ ··· + 1987u + 97)
c
4
(u
38
+ u
37
+ ··· + 5u − 1)(u
151
+ 6u
150
+ ··· − 130250u + 29375)
c
5
(u
38
+ 14u
37
+ ··· + 49u + 5)(u
151
+ 9u
150
+ ··· − 1990u + 1825)
c
6
, c
7
(u
38
+ 3u
37
+ ··· − u − 1)(u
151
+ 4u
150
+ ··· + 26u + 1)
c
8
(u
38
+ 3u
37
+ ··· − 3u − 5)(u
151
+ 46u
149
+ ··· + 886u + 149)
c
9
(u
38
+ u
37
+ ··· − 93u − 25)(u
151
− 2u
150
+ ··· − 4383642u + 726827)
c
10
(u
38
− 3u
37
+ ··· + u − 1)(u
151
+ 4u
150
+ ··· + 26u + 1)
c
11
(u
38
− 2u
37
+ ··· + 84u + 25)(u
151
− 15u
150
+ ··· − 31153u + 6533)
c
12
(u
38
− 3u
37
+ ··· + 3u − 5)(u
151
+ 46u
149
+ ··· + 886u + 149)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
38
− 6y
37
+ ··· + 23y + 1)
· (y
151
+ 21y
150
+ ··· − 147730430y −2852721)
c
2
, c
5
(y
38
+ 20y
37
+ ··· + 499y + 25)
· (y
151
+ 79y
150
+ ··· − 91731950y −3330625)
c
3
(y
38
+ 26y
37
+ ··· + 12y + 1)(y
151
+ 33y
150
+ ··· + 3420489y −9409)
c
4
(y
38
− 15y
37
+ ··· + 5y + 1)
· (y
151
+ 8y
150
+ ··· − 145840000000y −862890625)
c
6
, c
7
, c
10
(y
38
− 41y
37
+ ··· − 5y + 1)(y
151
− 146y
150
+ ··· + 122y −1)
c
8
, c
12
(y
38
+ 21y
37
+ ··· + 401y + 25)
· (y
151
+ 92y
150
+ ··· − 812880y −22201)
c
9
(y
38
+ 15y
37
+ ··· + 551y + 625)
· (y
151
+ 2y
150
+ ··· + 63007761680138y −528277487929)
c
11
(y
38
− 26y
37
+ ··· + 1194y + 625)
· (y
151
− 15y
150
+ ··· − 3528388777y −42680089)
29
