12a
0670
(K12a
0670
)
A knot diagram
1
Linearized knot diagam
3 7 11 9 10 2 6 4 12 1 8 5
Solving Sequence
4,9 5,12
10 6 1 8 7 11 3 2
c
4
c
9
c
5
c
12
c
8
c
7
c
11
c
3
c
2
c
1
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−7.99478 × 10
596
u
148
− 1.64531 × 10
597
u
147
+ ··· + 3.67010 × 10
596
b − 1.34656 × 10
597
,
− 4.34564 × 10
595
u
148
− 2.62040 × 10
596
u
147
+ ··· + 3.67010 × 10
596
a − 3.07089 × 10
597
,
u
149
+ u
148
+ ··· − 2u − 2i
I
u
2
= h−1370767571u
29
+ 3000893918u
28
+ ··· + 1426884209b + 1819309823,
1090184381u
29
− 3736521418u
28
+ ··· + 8561305254a − 10915858938,
u
30
− 2u
29
+ ··· + 31u
2
− 6i
I
v
1
= ha, b + 1, v + 1i
* 3 irreducible components of dim
C
= 0, with total 180 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−7.99 × 10
596
u
148
− 1.65 × 10
597
u
147
+ · · · + 3.67 × 10
596
b − 1.35 ×
10
597
, −4.35 × 10
595
u
148
− 2.62 × 10
596
u
147
+ · · · + 3.67 × 10
596
a − 3.07 ×
10
597
, u
149
+ u
148
+ · · · − 2u − 2i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
5
=
1
−u
2
a
12
=
0.118406u
148
+ 0.713986u
147
+ ··· − 35.6763u + 8.36732
2.17835u
148
+ 4.48300u
147
+ ··· + 0.0549657u + 3.66900
a
10
=
−0.713342u
148
− 1.89845u
147
+ ··· − 124.836u + 1.88100
1.82739u
148
+ 3.99427u
147
+ ··· + 9.87473u + 1.69509
a
6
=
1.14943u
148
+ 3.25205u
147
+ ··· + 93.7596u + 6.51301
−2.07649u
148
− 4.58001u
147
+ ··· − 12.7746u − 2.99669
a
1
=
3.19987u
148
+ 7.38147u
147
+ ··· − 34.1933u + 13.2275
−2.01305u
148
− 4.61031u
147
+ ··· − 13.2800u − 3.50305
a
8
=
−u
u
a
7
=
−0.110119u
148
− 0.935528u
147
+ ··· − 22.2883u − 5.59236
2.60343u
148
+ 5.86455u
147
+ ··· + 19.0822u + 4.80160
a
11
=
3.45183u
148
+ 7.86190u
147
+ ··· − 25.2823u + 14.1678
−1.15507u
148
− 2.66491u
147
+ ··· − 10.3390u − 2.13146
a
3
=
1.60542u
148
+ 2.74162u
147
+ ··· − 64.9088u − 1.39460
0.172593u
148
+ 0.314862u
147
+ ··· + 3.99711u + 0.132920
a
2
=
4.57460u
148
+ 9.74047u
147
+ ··· − 24.8475u + 14.0813
−3.84852u
148
− 8.35965u
147
+ ··· − 12.2970u − 6.05385
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4.39778u
148
+ 8.46029u
147
+ ··· − 64.7824u + 7.36384
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
149
+ 47u
148
+ ··· + 102u + 1
c
2
, c
6
u
149
− u
148
+ ··· − 20u − 1
c
3
u
149
− 27u
147
+ ··· − 153572430u − 97971703
c
4
, c
8
u
149
+ u
148
+ ··· − 2u − 2
c
5
u
149
+ 4u
148
+ ··· − 44u + 1
c
9
u
149
+ 3u
148
+ ··· − 721u + 23
c
10
u
149
− 12u
148
+ ··· + 84178u − 11746
c
11
u
149
− 4u
148
+ ··· − 14272164u + 808439
c
12
u
149
− 2u
148
+ ··· − 105006u + 72941
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
149
+ 117y
148
+ ··· − 5398y −1
c
2
, c
6
y
149
− 47y
148
+ ··· + 102y −1
c
3
y
149
− 54y
148
+ ··· + 618907160688127504y −9598454588720209
c
4
, c
8
y
149
− 115y
148
+ ··· − 1060y −4
c
5
y
149
− 12y
148
+ ··· + 134y −1
c
9
y
149
+ 21y
148
+ ··· + 46639y −529
c
10
y
149
− 42y
148
+ ··· − 5433937780y −137968516
c
11
y
149
+ 34y
148
+ ··· + 2349436602660y −653573616721
c
12
y
149
− 36y
148
+ ··· + 321679207278y −5320389481
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.997927 + 0.108985I
a = 0.342836 + 0.881654I
b = −1.08945 − 1.35487I
2.61641 − 5.27304I 0
u = −0.997927 − 0.108985I
a = 0.342836 − 0.881654I
b = −1.08945 + 1.35487I
2.61641 + 5.27304I 0
u = 0.906099 + 0.405833I
a = 0.269225 − 0.454312I
b = 0.565957 + 1.151150I
1.54507 + 1.61217I 0
u = 0.906099 − 0.405833I
a = 0.269225 + 0.454312I
b = 0.565957 − 1.151150I
1.54507 − 1.61217I 0
u = −1.03753
a = 1.36639
b = 0.0654382
−1.53008 0
u = 1.044210 + 0.037573I
a = −0.110451 + 0.886146I
b = 0.82417 − 1.45728I
3.25938 − 0.03179I 0
u = 1.044210 − 0.037573I
a = −0.110451 − 0.886146I
b = 0.82417 + 1.45728I
3.25938 + 0.03179I 0
u = −1.040440 + 0.109520I
a = 1.23894 + 0.91114I
b = −0.235026 − 1.199110I
1.86508 − 5.73127I 0
u = −1.040440 − 0.109520I
a = 1.23894 − 0.91114I
b = −0.235026 + 1.199110I
1.86508 + 5.73127I 0
u = 0.902583 + 0.304485I
a = 0.184569 − 0.327460I
b = 0.47442 + 1.48814I
1.51854 + 1.59281I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.902583 − 0.304485I
a = 0.184569 + 0.327460I
b = 0.47442 − 1.48814I
1.51854 − 1.59281I 0
u = 1.028050 + 0.210019I
a = −1.00999 + 1.40491I
b = 0.53800 − 1.60291I
1.95414 + 1.08684I 0
u = 1.028050 − 0.210019I
a = −1.00999 − 1.40491I
b = 0.53800 + 1.60291I
1.95414 − 1.08684I 0
u = −1.013410 + 0.378410I
a = −0.190732 − 0.276665I
b = 0.45155 + 1.63437I
−1.58390 − 5.31842I 0
u = −1.013410 − 0.378410I
a = −0.190732 + 0.276665I
b = 0.45155 − 1.63437I
−1.58390 + 5.31842I 0
u = −0.678394 + 0.611928I
a = −0.113690 − 0.113990I
b = 0.126935 + 0.634408I
−1.82938 + 0.95182I 0
u = −0.678394 − 0.611928I
a = −0.113690 + 0.113990I
b = 0.126935 − 0.634408I
−1.82938 − 0.95182I 0
u = 0.411545 + 0.810144I
a = −1.226940 + 0.398074I
b = 0.557464 + 0.684261I
1.66303 − 5.32531I 0
u = 0.411545 − 0.810144I
a = −1.226940 − 0.398074I
b = 0.557464 − 0.684261I
1.66303 + 5.32531I 0
u = −0.380989 + 0.823004I
a = 1.193010 + 0.378164I
b = −0.473274 + 0.663865I
1.92473 − 0.27110I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.380989 − 0.823004I
a = 1.193010 − 0.378164I
b = −0.473274 − 0.663865I
1.92473 + 0.27110I 0
u = −0.148141 + 1.088790I
a = 0.708479 − 0.269615I
b = 0.125862 + 0.354257I
5.70505 + 4.15041I 0
u = −0.148141 − 1.088790I
a = 0.708479 + 0.269615I
b = 0.125862 − 0.354257I
5.70505 − 4.15041I 0
u = 1.103690 + 0.037743I
a = −0.801369 + 0.434320I
b = −0.844166 − 1.086500I
3.35672 + 1.40100I 0
u = 1.103690 − 0.037743I
a = −0.801369 − 0.434320I
b = −0.844166 + 1.086500I
3.35672 − 1.40100I 0
u = 1.056740 + 0.344471I
a = −0.54907 + 1.57577I
b = 0.70639 − 1.83078I
−0.92505 + 5.62393I 0
u = 1.056740 − 0.344471I
a = −0.54907 − 1.57577I
b = 0.70639 + 1.83078I
−0.92505 − 5.62393I 0
u = 0.145293 + 1.111540I
a = −0.671311 − 0.344539I
b = −0.133325 + 0.308302I
6.18629 + 2.02105I 0
u = 0.145293 − 1.111540I
a = −0.671311 + 0.344539I
b = −0.133325 − 0.308302I
6.18629 − 2.02105I 0
u = 1.109490 + 0.277234I
a = 0.166987 − 0.353004I
b = −0.89151 + 2.34886I
6.46485 + 4.62859I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.109490 − 0.277234I
a = 0.166987 + 0.353004I
b = −0.89151 − 2.34886I
6.46485 − 4.62859I 0
u = −0.169120 + 1.139590I
a = 0.561589 − 0.856111I
b = 0.0796304 − 0.0369593I
3.2097 − 13.9267I 0
u = −0.169120 − 1.139590I
a = 0.561589 + 0.856111I
b = 0.0796304 + 0.0369593I
3.2097 + 13.9267I 0
u = 0.170592 + 1.143440I
a = −0.566518 − 0.816153I
b = −0.0918103 − 0.0056737I
4.21112 + 7.80500I 0
u = 0.170592 − 1.143440I
a = −0.566518 + 0.816153I
b = −0.0918103 + 0.0056737I
4.21112 − 7.80500I 0
u = −0.191524 + 1.144560I
a = 0.416254 − 0.791031I
b = −0.0115438 + 0.0464869I
−3.41519 − 7.81442I 0
u = −0.191524 − 1.144560I
a = 0.416254 + 0.791031I
b = −0.0115438 − 0.0464869I
−3.41519 + 7.81442I 0
u = −1.127820 + 0.301148I
a = −0.191953 − 0.360112I
b = 1.00539 + 2.20383I
5.59100 − 10.86960I 0
u = −1.127820 − 0.301148I
a = −0.191953 + 0.360112I
b = 1.00539 − 2.20383I
5.59100 + 10.86960I 0
u = 1.082960 + 0.447710I
a = −0.24765 + 1.57941I
b = 0.78257 − 1.92036I
3.77855 + 10.04870I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.082960 − 0.447710I
a = −0.24765 − 1.57941I
b = 0.78257 + 1.92036I
3.77855 − 10.04870I 0
u = −0.507320 + 0.650379I
a = −0.524205 − 0.737183I
b = −0.649181 + 0.518377I
−3.12048 + 1.18009I 0
u = −0.507320 − 0.650379I
a = −0.524205 + 0.737183I
b = −0.649181 − 0.518377I
−3.12048 − 1.18009I 0
u = 0.174954 + 1.166670I
a = −0.450111 − 0.641115I
b = −0.0389245 + 0.1320640I
0.70784 + 4.41763I 0
u = 0.174954 − 1.166670I
a = −0.450111 + 0.641115I
b = −0.0389245 − 0.1320640I
0.70784 − 4.41763I 0
u = 0.441941 + 0.688681I
a = −1.244180 + 0.491058I
b = 0.766708 + 0.442072I
−2.78657 − 1.63532I 0
u = 0.441941 − 0.688681I
a = −1.244180 − 0.491058I
b = 0.766708 − 0.442072I
−2.78657 + 1.63532I 0
u = −0.118484 + 0.802160I
a = 0.658374 + 0.514246I
b = −0.135012 + 0.329816I
−1.15927 + 1.43856I 0
u = −0.118484 − 0.802160I
a = 0.658374 − 0.514246I
b = −0.135012 − 0.329816I
−1.15927 − 1.43856I 0
u = −1.181650 + 0.176133I
a = 0.617217 + 1.067780I
b = −0.15319 − 2.14924I
2.11194 − 5.30881I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.181650 − 0.176133I
a = 0.617217 − 1.067780I
b = −0.15319 + 2.14924I
2.11194 + 5.30881I 0
u = 1.193300 + 0.084273I
a = 0.86821 + 1.31202I
b = −0.31384 − 2.13053I
2.34030 + 4.44114I 0
u = 1.193300 − 0.084273I
a = 0.86821 − 1.31202I
b = −0.31384 + 2.13053I
2.34030 − 4.44114I 0
u = 0.559855 + 0.572285I
a = −1.222220 + 0.512666I
b = 1.102970 + 0.206290I
0.80054 + 2.00529I 0
u = 0.559855 − 0.572285I
a = −1.222220 − 0.512666I
b = 1.102970 − 0.206290I
0.80054 − 2.00529I 0
u = 1.196670 + 0.109755I
a = 1.29187 + 1.46649I
b = −0.83459 − 2.42562I
8.10417 + 9.47321I 0
u = 1.196670 − 0.109755I
a = 1.29187 − 1.46649I
b = −0.83459 + 2.42562I
8.10417 − 9.47321I 0
u = −1.116450 + 0.450429I
a = 0.22416 + 1.49263I
b = −0.75745 − 1.94000I
4.25390 − 4.49520I 0
u = −1.116450 − 0.450429I
a = 0.22416 − 1.49263I
b = −0.75745 + 1.94000I
4.25390 + 4.49520I 0
u = −1.203530 + 0.109989I
a = −1.32160 + 1.34085I
b = 0.90485 − 2.26970I
8.87316 − 3.63122I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.203530 − 0.109989I
a = −1.32160 − 1.34085I
b = 0.90485 + 2.26970I
8.87316 + 3.63122I 0
u = −1.004700 + 0.672684I
a = −0.305368 − 0.565052I
b = −0.256201 + 0.933577I
−0.90910 − 6.47182I 0
u = −1.004700 − 0.672684I
a = −0.305368 + 0.565052I
b = −0.256201 − 0.933577I
−0.90910 + 6.47182I 0
u = 1.212300 + 0.032402I
a = 0.377505 − 0.653265I
b = 0.311166 + 1.221160I
3.18267 + 0.49662I 0
u = 1.212300 − 0.032402I
a = 0.377505 + 0.653265I
b = 0.311166 − 1.221160I
3.18267 − 0.49662I 0
u = 1.226990 + 0.039571I
a = −0.361508 + 0.786450I
b = −0.83365 − 2.52866I
9.27492 + 2.42864I 0
u = 1.226990 − 0.039571I
a = −0.361508 − 0.786450I
b = −0.83365 + 2.52866I
9.27492 − 2.42864I 0
u = −1.228560 + 0.075364I
a = −0.987214 + 0.906544I
b = 0.55372 − 1.59986I
5.51292 − 1.98562I 0
u = −1.228560 − 0.075364I
a = −0.987214 − 0.906544I
b = 0.55372 + 1.59986I
5.51292 + 1.98562I 0
u = −0.576590 + 0.507170I
a = 1.179340 + 0.491640I
b = −1.132470 + 0.046145I
0.87292 + 3.33988I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.576590 − 0.507170I
a = 1.179340 − 0.491640I
b = −1.132470 − 0.046145I
0.87292 − 3.33988I 0
u = −1.196990 + 0.303365I
a = 0.500611 + 1.233240I
b = −0.69194 − 2.05863I
1.91368 − 4.83833I 0
u = −1.196990 − 0.303365I
a = 0.500611 − 1.233240I
b = −0.69194 + 2.05863I
1.91368 + 4.83833I 0
u = −0.178626 + 1.227670I
a = 0.288378 − 0.542263I
b = −0.021204 + 0.202786I
−2.55049 − 0.20359I 0
u = −0.178626 − 1.227670I
a = 0.288378 + 0.542263I
b = −0.021204 − 0.202786I
−2.55049 + 0.20359I 0
u = −1.240650 + 0.054760I
a = 0.362471 + 0.843791I
b = 0.70178 − 2.61256I
8.83349 − 8.53833I 0
u = −1.240650 − 0.054760I
a = 0.362471 − 0.843791I
b = 0.70178 + 2.61256I
8.83349 + 8.53833I 0
u = −0.005854 + 0.708081I
a = −0.13905 + 1.67581I
b = −0.014455 + 0.174742I
−1.01217 + 2.55939I 0
u = −0.005854 − 0.708081I
a = −0.13905 − 1.67581I
b = −0.014455 − 0.174742I
−1.01217 − 2.55939I 0
u = −0.698550 + 0.110191I
a = 0.548182 + 0.333374I
b = −0.919508 − 0.688389I
−1.95646 − 0.51661I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.698550 − 0.110191I
a = 0.548182 − 0.333374I
b = −0.919508 + 0.688389I
−1.95646 + 0.51661I 0
u = −1.299100 + 0.113301I
a = −1.309760 + 0.378513I
b = 1.20596 − 0.91158I
8.76797 − 0.64485I 0
u = −1.299100 − 0.113301I
a = −1.309760 − 0.378513I
b = 1.20596 + 0.91158I
8.76797 + 0.64485I 0
u = 1.281160 + 0.292066I
a = −0.540452 + 1.164070I
b = 1.13995 − 2.32706I
−0.22552 + 5.20204I 0
u = 1.281160 − 0.292066I
a = −0.540452 − 1.164070I
b = 1.13995 + 2.32706I
−0.22552 − 5.20204I 0
u = −1.293040 + 0.250167I
a = 0.498078 + 1.191740I
b = −0.85502 − 2.71580I
4.64814 − 3.64822I 0
u = −1.293040 − 0.250167I
a = 0.498078 − 1.191740I
b = −0.85502 + 2.71580I
4.64814 + 3.64822I 0
u = 1.298360 + 0.262420I
a = −0.509838 + 1.201720I
b = 0.98641 − 2.70994I
4.30570 + 9.22114I 0
u = 1.298360 − 0.262420I
a = −0.509838 − 1.201720I
b = 0.98641 + 2.70994I
4.30570 − 9.22114I 0
u = 1.294890 + 0.298366I
a = −0.593820 + 1.053360I
b = 1.34923 − 1.89030I
3.04546 + 1.07755I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.294890 − 0.298366I
a = −0.593820 − 1.053360I
b = 1.34923 + 1.89030I
3.04546 − 1.07755I 0
u = 1.324670 + 0.118649I
a = 1.300120 + 0.239979I
b = −1.26577 − 0.69203I
7.92836 − 5.05927I 0
u = 1.324670 − 0.118649I
a = 1.300120 − 0.239979I
b = −1.26577 + 0.69203I
7.92836 + 5.05927I 0
u = −0.168792 + 0.644253I
a = 1.075160 + 0.846995I
b = −0.303616 + 0.146890I
−1.26238 + 1.26752I 0
u = −0.168792 − 0.644253I
a = 1.075160 − 0.846995I
b = −0.303616 − 0.146890I
−1.26238 − 1.26752I 0
u = 1.33728
a = 0.884739
b = −0.562692
3.14559 0
u = −0.225743 + 0.605662I
a = −0.85345 − 1.22257I
b = −0.871486 + 0.326644I
2.94982 + 7.40247I 0. − 6.37798I
u = −0.225743 − 0.605662I
a = −0.85345 + 1.22257I
b = −0.871486 − 0.326644I
2.94982 − 7.40247I 0. + 6.37798I
u = −0.024150 + 0.637120I
a = −0.76910 + 1.73292I
b = −0.0225561 + 0.0154055I
−4.27900 − 1.74395I −13.30081 + 4.30618I
u = −0.024150 − 0.637120I
a = −0.76910 − 1.73292I
b = −0.0225561 − 0.0154055I
−4.27900 + 1.74395I −13.30081 − 4.30618I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.335710 + 0.305614I
a = 0.542047 + 0.916983I
b = −1.20357 − 1.59570I
3.15814 − 6.05638I 0
u = −1.335710 − 0.305614I
a = 0.542047 − 0.916983I
b = −1.20357 + 1.59570I
3.15814 + 6.05638I 0
u = −1.37438
a = −0.140023
b = −1.04115
3.78742 0
u = 1.374070 + 0.094273I
a = 0.064446 − 0.305779I
b = 1.135960 + 0.807885I
8.10829 + 2.97693I 0
u = 1.374070 − 0.094273I
a = 0.064446 + 0.305779I
b = 1.135960 − 0.807885I
8.10829 − 2.97693I 0
u = −1.387360 + 0.076160I
a = −0.046875 − 0.247195I
b = −1.218360 + 0.665416I
8.06310 + 2.74688I 0
u = −1.387360 − 0.076160I
a = −0.046875 + 0.247195I
b = −1.218360 − 0.665416I
8.06310 − 2.74688I 0
u = 0.234686 + 0.541606I
a = 1.03150 − 1.12299I
b = 0.896775 + 0.385966I
3.98355 − 1.42403I 0. + 1.79463I
u = 0.234686 − 0.541606I
a = 1.03150 + 1.12299I
b = 0.896775 − 0.385966I
3.98355 + 1.42403I 0. − 1.79463I
u = −1.36420 + 0.45250I
a = 0.161610 + 0.880893I
b = −0.59823 − 1.58574I
2.88325 − 6.18656I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.36420 − 0.45250I
a = 0.161610 − 0.880893I
b = −0.59823 + 1.58574I
2.88325 + 6.18656I 0
u = −0.097025 + 0.541005I
a = −1.18908 + 2.16565I
b = −0.074791 − 0.242803I
−0.00951 − 6.14995I −5.15912 + 9.56291I
u = −0.097025 − 0.541005I
a = −1.18908 − 2.16565I
b = −0.074791 + 0.242803I
−0.00951 + 6.14995I −5.15912 − 9.56291I
u = 1.37299 + 0.46766I
a = 0.249032 − 0.815727I
b = −0.10539 + 1.89819I
10.47990 + 1.18464I 0
u = 1.37299 − 0.46766I
a = 0.249032 + 0.815727I
b = −0.10539 − 1.89819I
10.47990 − 1.18464I 0
u = −1.38714 + 0.47525I
a = −0.270723 − 0.849451I
b = 0.21800 + 1.95630I
11.00770 − 7.48541I 0
u = −1.38714 − 0.47525I
a = −0.270723 + 0.849451I
b = 0.21800 − 1.95630I
11.00770 + 7.48541I 0
u = −1.37607 + 0.58086I
a = −0.155294 + 0.832237I
b = −0.14543 − 1.72501I
9.60663 − 10.29480I 0
u = −1.37607 − 0.58086I
a = −0.155294 − 0.832237I
b = −0.14543 + 1.72501I
9.60663 + 10.29480I 0
u = −1.41561 + 0.50043I
a = −0.411580 − 0.926096I
b = 0.69454 + 1.93625I
5.66364 − 10.19030I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41561 − 0.50043I
a = −0.411580 + 0.926096I
b = 0.69454 − 1.93625I
5.66364 + 10.19030I 0
u = 1.41066 + 0.51448I
a = 0.433834 − 0.845199I
b = −0.63455 + 1.70913I
2.35588 + 6.14144I 0
u = 1.41066 − 0.51448I
a = 0.433834 + 0.845199I
b = −0.63455 − 1.70913I
2.35588 − 6.14144I 0
u = 1.42266 + 0.50171I
a = 0.473417 − 0.965723I
b = −0.89654 + 1.93561I
1.60032 + 13.57150I 0
u = 1.42266 − 0.50171I
a = 0.473417 + 0.965723I
b = −0.89654 − 1.93561I
1.60032 − 13.57150I 0
u = −1.42480 + 0.49787I
a = −0.426359 − 1.032130I
b = 0.89552 + 2.15822I
9.2092 − 13.5493I 0
u = −1.42480 − 0.49787I
a = −0.426359 + 1.032130I
b = 0.89552 − 2.15822I
9.2092 + 13.5493I 0
u = 0.079356 + 0.483845I
a = 1.49364 + 2.17335I
b = −0.023160 − 0.323983I
0.400754 + 0.769646I −3.62764 − 4.22124I
u = 0.079356 − 0.483845I
a = 1.49364 − 2.17335I
b = −0.023160 + 0.323983I
0.400754 − 0.769646I −3.62764 + 4.22124I
u = 1.42541 + 0.49897I
a = 0.444191 − 1.046960I
b = −0.95958 + 2.16163I
8.2043 + 19.6713I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.42541 − 0.49897I
a = 0.444191 + 1.046960I
b = −0.95958 − 2.16163I
8.2043 − 19.6713I 0
u = 1.39525 + 0.58208I
a = 0.149798 + 0.780263I
b = 0.10433 − 1.64635I
10.17640 + 4.23781I 0
u = 1.39525 − 0.58208I
a = 0.149798 − 0.780263I
b = 0.10433 + 1.64635I
10.17640 − 4.23781I 0
u = 1.51992 + 0.49926I
a = −0.079425 + 0.555517I
b = 0.320286 − 1.115130I
5.20990 + 2.59443I 0
u = 1.51992 − 0.49926I
a = −0.079425 − 0.555517I
b = 0.320286 + 1.115130I
5.20990 − 2.59443I 0
u = 0.256326 + 0.097023I
a = 1.15434 + 1.45578I
b = 0.837599 + 0.492157I
1.35101 + 1.14697I 4.21689 − 0.23530I
u = 0.256326 − 0.097023I
a = 1.15434 − 1.45578I
b = 0.837599 − 0.492157I
1.35101 − 1.14697I 4.21689 + 0.23530I
u = 1.59558 + 0.74938I
a = 0.132239 + 0.277814I
b = −0.262690 − 0.665385I
7.92798 − 0.71672I 0
u = 1.59558 − 0.74938I
a = 0.132239 − 0.277814I
b = −0.262690 + 0.665385I
7.92798 + 0.71672I 0
u = −1.56554 + 0.82526I
a = −0.165697 + 0.215774I
b = 0.376825 − 0.530305I
6.78955 + 6.87071I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56554 − 0.82526I
a = −0.165697 − 0.215774I
b = 0.376825 + 0.530305I
6.78955 − 6.87071I 0
u = −0.050337 + 0.143727I
a = 6.05261 − 4.40226I
b = 0.895601 + 0.771524I
5.51740 + 2.45186I 1.48976 − 2.21266I
u = −0.050337 − 0.143727I
a = 6.05261 + 4.40226I
b = 0.895601 − 0.771524I
5.51740 − 2.45186I 1.48976 + 2.21266I
u = 0.088004 + 0.112374I
a = −5.42303 − 6.59172I
b = −0.859983 + 0.833552I
4.87849 − 8.36632I 0.05497 + 7.74602I
u = 0.088004 − 0.112374I
a = −5.42303 + 6.59172I
b = −0.859983 − 0.833552I
4.87849 + 8.36632I 0.05497 − 7.74602I
u = −1.85064 + 0.34572I
a = 0.195358 + 0.196008I
b = −0.417037 − 0.389154I
0.691007 − 0.095500I 0
u = −1.85064 − 0.34572I
a = 0.195358 − 0.196008I
b = −0.417037 + 0.389154I
0.691007 + 0.095500I 0
u = −0.0329582 + 0.0764814I
a = 10.97440 − 2.70410I
b = −0.627852 − 0.639342I
−1.12585 + 3.89050I −4.12840 − 7.88335I
u = −0.0329582 − 0.0764814I
a = 10.97440 + 2.70410I
b = −0.627852 + 0.639342I
−1.12585 − 3.89050I −4.12840 + 7.88335I
19
II.
I
u
2
= h−1.37 × 10
9
u
29
+ 3.00 × 10
9
u
28
+ · · · + 1.43 × 10
9
b + 1.82 × 10
9
, 1.09 ×
10
9
u
29
−3.74×10
9
u
28
+· · ·+8.56×10
9
a−1.09×10
10
, u
30
−2u
29
+· · ·+31u
2
−6i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
5
=
1
−u
2
a
12
=
−0.127339u
29
+ 0.436443u
28
+ ··· − 4.56981u + 1.27502
0.960672u
29
− 2.10311u
28
+ ··· + 4.40314u − 1.27502
a
10
=
2.07198u
29
− 2.79558u
28
+ ··· + 5.20462u + 5.29242
−2.74171u
29
+ 3.42548u
28
+ ··· − 12.7928u − 8.27471
a
6
=
−0.227533u
29
− 1.39875u
28
+ ··· + 2.05216u − 1.11252
0.788279u
29
+ 1.94488u
28
+ ··· − 0.0942501u + 8.90838
a
1
=
0.376233u
29
− 0.679520u
28
+ ··· − 0.930698u + 1.09059
0.492373u
29
− 0.980821u
28
+ ··· + 1.38171u − 0.622106
a
8
=
−u
u
a
7
=
0.373633u
29
− 1.55557u
28
+ ··· − 2.41411u + 5.11324
0.364926u
29
+ 1.57166u
28
+ ··· − 3.04829u − 1.99902
a
11
=
0.872661u
29
− 1.56356u
28
+ ··· + 0.430194u + 1.27502
−0.0393281u
29
− 0.103110u
28
+ ··· − 0.596861u − 1.27502
a
3
=
−0.0399878u
29
+ 0.736908u
28
+ ··· − 0.839954u + 1.75607
−0.457062u
29
− 1.24587u
28
+ ··· − 1.03510u − 9.17756
a
2
=
−1.20801u
29
+ 1.48368u
28
+ ··· − 18.4085u − 6.68528
0.252875u
29
− 1.22381u
28
+ ··· + 12.8874u + 2.35677
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
1857898437
1426884209
u
29
+
1101274625
1426884209
u
28
+ ··· −
2246147754
1426884209
u +
2439848022
1426884209
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
30
− 11u
29
+ ··· − 24u + 1
c
2
u
30
+ u
29
+ ··· − 2u + 1
c
3
u
30
+ u
28
+ ··· − 4u − 1
c
4
u
30
− 2u
29
+ ··· + 31u
2
− 6
c
5
u
30
− 2u
29
+ ··· + 2u
2
− 1
c
6
u
30
− u
29
+ ··· + 2u + 1
c
7
u
30
+ 11u
29
+ ··· + 24u + 1
c
8
u
30
+ 2u
29
+ ··· + 31u
2
− 6
c
9
u
30
− 15u
29
+ ··· − u + 1
c
10
u
30
+ 15u
29
+ ··· + 84u + 6
c
11
u
30
− 2u
29
+ ··· + 2u + 1
c
12
u
30
− 2u
28
+ ··· − 2u − 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
30
+ 21y
29
+ ··· − 188y + 1
c
2
, c
6
y
30
− 11y
29
+ ··· − 24y + 1
c
3
y
30
+ 2y
29
+ ··· − 10y + 1
c
4
, c
8
y
30
− 28y
29
+ ··· − 372y + 36
c
5
y
30
− 12y
29
+ ··· − 4y + 1
c
9
y
30
+ 9y
29
+ ··· − 33y + 1
c
10
y
30
+ 9y
29
+ ··· + 348y + 36
c
11
y
30
+ 10y
29
+ ··· − 14y + 1
c
12
y
30
− 4y
29
+ ··· − 12y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.104625 + 0.923256I
a = 0.265809 + 0.752869I
b = −0.391165 − 0.185290I
−2.70916 − 0.36347I −5.68779 + 2.55332I
u = 0.104625 − 0.923256I
a = 0.265809 − 0.752869I
b = −0.391165 + 0.185290I
−2.70916 + 0.36347I −5.68779 − 2.55332I
u = 0.925210 + 0.632705I
a = −0.306492 + 0.692770I
b = −0.287678 − 1.045560I
−1.04921 + 6.74209I −6.9717 − 17.6770I
u = 0.925210 − 0.632705I
a = −0.306492 − 0.692770I
b = −0.287678 + 1.045560I
−1.04921 − 6.74209I −6.9717 + 17.6770I
u = 0.441570 + 0.740792I
a = −0.983711 + 0.177248I
b = 0.339960 + 0.247380I
−1.58554 − 2.14623I −3.91271 + 8.26189I
u = 0.441570 − 0.740792I
a = −0.983711 − 0.177248I
b = 0.339960 − 0.247380I
−1.58554 + 2.14623I −3.91271 − 8.26189I
u = −1.112230 + 0.248377I
a = −0.294821 + 0.999761I
b = 0.16233 − 2.50771I
7.23517 − 3.77455I 4.79539 + 3.05652I
u = −1.112230 − 0.248377I
a = −0.294821 − 0.999761I
b = 0.16233 + 2.50771I
7.23517 + 3.77455I 4.79539 − 3.05652I
u = 1.124510 + 0.246615I
a = 0.306505 + 1.165960I
b = −0.10708 − 2.62249I
6.63030 + 9.75976I 3.08859 − 8.59497I
u = 1.124510 − 0.246615I
a = 0.306505 − 1.165960I
b = −0.10708 + 2.62249I
6.63030 − 9.75976I 3.08859 + 8.59497I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.778457 + 0.328988I
a = 0.398578 + 0.589993I
b = 1.12365 − 1.22530I
1.51678 − 1.96575I −2.8548 + 16.4537I
u = −0.778457 − 0.328988I
a = 0.398578 − 0.589993I
b = 1.12365 + 1.22530I
1.51678 + 1.96575I −2.8548 − 16.4537I
u = 1.182520 + 0.271936I
a = −0.272567 + 1.344390I
b = 0.54579 − 2.45540I
0.73006 + 5.74512I −2.34178 − 9.28764I
u = 1.182520 − 0.271936I
a = −0.272567 − 1.344390I
b = 0.54579 + 2.45540I
0.73006 − 5.74512I −2.34178 + 9.28764I
u = 1.237030 + 0.243287I
a = −0.70204 + 1.46894I
b = 1.17190 − 2.39427I
3.45679 + 2.11535I 1.86259 − 3.59666I
u = 1.237030 − 0.243287I
a = −0.70204 − 1.46894I
b = 1.17190 + 2.39427I
3.45679 − 2.11535I 1.86259 + 3.59666I
u = −1.259130 + 0.250394I
a = 0.79304 + 1.33981I
b = −1.24553 − 2.17631I
3.46355 − 7.24797I 1.94305 + 9.64259I
u = −1.259130 − 0.250394I
a = 0.79304 − 1.33981I
b = −1.24553 + 2.17631I
3.46355 + 7.24797I 1.94305 − 9.64259I
u = −1.248090 + 0.349855I
a = 0.546044 + 0.996300I
b = −0.69469 − 1.77284I
1.21720 − 3.87858I −2.76696 + 1.67621I
u = −1.248090 − 0.349855I
a = 0.546044 − 0.996300I
b = −0.69469 + 1.77284I
1.21720 + 3.87858I −2.76696 − 1.67621I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.30305
a = −0.317222
b = −0.782350
4.70302 9.03370
u = −1.338130 + 0.381633I
a = −0.311838 − 0.253564I
b = 0.144327 − 0.317309I
7.27001 + 0.65287I 1.72726 − 0.56653I
u = −1.338130 − 0.381633I
a = −0.311838 + 0.253564I
b = 0.144327 + 0.317309I
7.27001 − 0.65287I 1.72726 + 0.56653I
u = 1.298550 + 0.502261I
a = 0.214115 − 0.362845I
b = −0.239125 − 0.159015I
6.34080 − 6.56667I −0.38431 + 3.74652I
u = 1.298550 − 0.502261I
a = 0.214115 + 0.362845I
b = −0.239125 + 0.159015I
6.34080 + 6.56667I −0.38431 − 3.74652I
u = 0.434303 + 0.407723I
a = −2.20800 + 0.15427I
b = 0.724963 + 0.483771I
0.610816 + 0.510651I −4.13449 − 1.23404I
u = 0.434303 − 0.407723I
a = −2.20800 − 0.15427I
b = 0.724963 − 0.483771I
0.610816 − 0.510651I −4.13449 + 1.23404I
u = −0.389560 + 0.331187I
a = 2.65743 + 0.42275I
b = −0.875054 + 0.419543I
0.28706 + 4.74128I −5.56195 − 4.45765I
u = −0.389560 − 0.331187I
a = 2.65743 − 0.42275I
b = −0.875054 − 0.419543I
0.28706 − 4.74128I −5.56195 + 4.45765I
u = 2.05761
a = 0.113135
b = 0.0371552
0.844803 0
27
III. I
v
1
= ha, b + 1, v + 1i
(i) Arc colorings
a
4
=
1
0
a
9
=
−1
0
a
5
=
1
0
a
12
=
0
−1
a
10
=
−1
−1
a
6
=
2
1
a
1
=
−1
−1
a
8
=
−1
0
a
7
=
1
1
a
11
=
−1
−1
a
3
=
2
1
a
2
=
1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
28
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
9
c
12
u − 1
c
3
, c
5
, c
6
c
7
, c
11
u + 1
c
4
, c
8
, c
10
u
29
(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
9
, c
11
, c
12
y −1
c
4
, c
8
, c
10
y
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −1.00000
a = 0
b = −1.00000
−3.28987 −12.0000
31
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u − 1)(u
30
− 11u
29
+ ··· − 24u + 1)(u
149
+ 47u
148
+ ··· + 102u + 1)
c
2
(u − 1)(u
30
+ u
29
+ ··· − 2u + 1)(u
149
− u
148
+ ··· − 20u − 1)
c
3
(u + 1)(u
30
+ u
28
+ ··· − 4u − 1)
· (u
149
− 27u
147
+ ··· − 153572430u − 97971703)
c
4
u(u
30
− 2u
29
+ ··· + 31u
2
− 6)(u
149
+ u
148
+ ··· − 2u − 2)
c
5
(u + 1)(u
30
− 2u
29
+ ··· + 2u
2
− 1)(u
149
+ 4u
148
+ ··· − 44u + 1)
c
6
(u + 1)(u
30
− u
29
+ ··· + 2u + 1)(u
149
− u
148
+ ··· − 20u − 1)
c
7
(u + 1)(u
30
+ 11u
29
+ ··· + 24u + 1)(u
149
+ 47u
148
+ ··· + 102u + 1)
c
8
u(u
30
+ 2u
29
+ ··· + 31u
2
− 6)(u
149
+ u
148
+ ··· − 2u − 2)
c
9
(u − 1)(u
30
− 15u
29
+ ··· − u + 1)(u
149
+ 3u
148
+ ··· − 721u + 23)
c
10
u(u
30
+ 15u
29
+ ··· + 84u + 6)(u
149
− 12u
148
+ ··· + 84178u − 11746)
c
11
(u + 1)(u
30
− 2u
29
+ ··· + 2u + 1)
· (u
149
− 4u
148
+ ··· − 14272164u + 808439)
c
12
(u − 1)(u
30
− 2u
28
+ ··· − 2u − 1)
· (u
149
− 2u
148
+ ··· − 105006u + 72941)
32
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y −1)(y
30
+ 21y
29
+ ··· − 188y + 1)(y
149
+ 117y
148
+ ··· − 5398y −1)
c
2
, c
6
(y −1)(y
30
− 11y
29
+ ··· − 24y + 1)(y
149
− 47y
148
+ ··· + 102y −1)
c
3
(y −1)(y
30
+ 2y
29
+ ··· − 10y + 1)
· (y
149
− 54y
148
+ ··· + 618907160688127504y −9598454588720209)
c
4
, c
8
y(y
30
− 28y
29
+ ··· − 372y + 36)(y
149
− 115y
148
+ ··· − 1060y −4)
c
5
(y −1)(y
30
− 12y
29
+ ··· − 4y + 1)(y
149
− 12y
148
+ ··· + 134y −1)
c
9
(y −1)(y
30
+ 9y
29
+ ··· − 33y + 1)(y
149
+ 21y
148
+ ··· + 46639y −529)
c
10
y(y
30
+ 9y
29
+ ··· + 348y + 36)
· (y
149
− 42y
148
+ ··· − 5433937780y −137968516)
c
11
(y −1)(y
30
+ 10y
29
+ ··· − 14y + 1)
· (y
149
+ 34y
148
+ ··· + 2349436602660y −653573616721)
c
12
(y −1)(y
30
− 4y
29
+ ··· − 12y + 1)
· (y
149
− 36y
148
+ ··· + 321679207278y −5320389481)
33
