12a
0943
(K12a
0943
)
A knot diagram
1
Linearized knot diagam
4 6 9 1 11 10 3 12 7 2 8 5
Solving Sequence
5,12
1 4
2,9
3 8 7 11 6 10
c
12
c
4
c
1
c
3
c
8
c
7
c
11
c
5
c
10
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.78712 × 10
517
u
145
− 1.33819 × 10
518
u
144
+ ··· + 6.78869 × 10
518
b − 5.80111 × 10
518
,
− 1.40605 × 10
519
u
145
+ 1.05376 × 10
520
u
144
+ ··· + 2.10450 × 10
520
a − 9.14715 × 10
520
,
u
146
− 7u
145
+ ··· + 117u + 31i
I
u
2
= h150001u
35
+ 1354688u
34
+ ··· + 891921b + 1011631,
− 918644u
35
+ 3557286u
34
+ ··· + 891921a − 2376240, u
36
− 8u
35
+ ··· − 10u + 1i
* 2 irreducible components of dim
C
= 0, with total 182 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
= h1.79 × 10
517
u
145
− 1.34 × 10
518
u
144
+ · · · + 6.79 × 10
518
b − 5.80 ×
10
518
, −1.41 × 10
519
u
145
+ 1.05 × 10
520
u
144
+ · · · + 2.10 × 10
520
a − 9.15 ×
10
520
, u
146
− 7u
145
+ · · · + 117u + 31i
(i) Arc colorings
a
5
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
4
=
u
u
3
+ u
a
2
=
u
2
+ 1
u
4
+ 2u
2
a
9
=
0.0668117u
145
− 0.500717u
144
+ ··· − 26.7482u + 4.34648
−0.0263250u
145
+ 0.197120u
144
+ ··· − 1.04940u + 0.854525
a
3
=
−0.0108550u
145
+ 0.121391u
144
+ ··· − 16.3069u + 3.52191
0.0207079u
145
− 0.149856u
144
+ ··· − 2.81401u − 0.238209
a
8
=
0.0404867u
145
− 0.303596u
144
+ ··· − 27.7976u + 5.20101
−0.0263250u
145
+ 0.197120u
144
+ ··· − 1.04940u + 0.854525
a
7
=
0.0558723u
145
− 0.372603u
144
+ ··· − 3.26923u + 2.17630
−0.0251010u
145
+ 0.179971u
144
+ ··· + 1.78696u + 0.577547
a
11
=
0.00181010u
145
− 0.0179139u
144
+ ··· + 20.7607u − 1.65983
−0.00208124u
145
− 0.0464347u
144
+ ··· + 1.81185u − 0.736714
a
6
=
−0.0159414u
145
+ 0.110964u
144
+ ··· + 7.43670u − 4.92878
−0.0176368u
145
+ 0.114351u
144
+ ··· + 4.21484u − 0.761534
a
10
=
0.00715498u
145
− 0.0371041u
144
+ ··· + 15.7315u − 1.64989
−0.00307858u
145
− 0.0206540u
144
+ ··· + 3.24478u − 0.384611
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.240462u
145
+ 1.85632u
144
+ ··· + 5.56279u − 3.36132
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
12
u
146
+ 7u
145
+ ··· − 117u + 31
c
2
u
146
− 3u
145
+ ··· − 232u + 23
c
3
u
146
− u
145
+ ··· + 36926312u + 87096208
c
5
u
146
+ u
145
+ ··· − 73218680u + 5055088
c
6
, c
9
u
146
+ 6u
145
+ ··· + 59u + 1
c
7
u
146
+ 14u
144
+ ··· − 34304u + 1984
c
8
, c
11
u
146
+ 6u
145
+ ··· + 10735u + 2329
c
10
u
146
− 6u
145
+ ··· + 186624u + 155392
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
y
146
+ 139y
145
+ ··· − 122499y + 961
c
2
y
146
+ 21y
145
+ ··· + 34036y + 529
c
3
y
146
+ 25y
145
+ ··· + 222241981535540160y + 7585749447979264
c
5
y
146
+ 29y
145
+ ··· + 948957128361152y + 25553914687744
c
6
, c
9
y
146
+ 104y
145
+ ··· − 243y + 1
c
7
y
146
+ 28y
145
+ ··· + 135151616y + 3936256
c
8
, c
11
y
146
− 76y
145
+ ··· − 142242651y + 5424241
c
10
y
146
+ 20y
145
+ ··· + 1419362140160y + 24146673664
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.600308 + 0.786562I
a = 0.263013 − 0.319264I
b = −1.055520 − 0.453993I
0.29286 − 4.41022I 0
u = −0.600308 − 0.786562I
a = 0.263013 + 0.319264I
b = −1.055520 + 0.453993I
0.29286 + 4.41022I 0
u = 0.710381 + 0.675563I
a = −0.160649 + 0.663844I
b = −1.239970 − 0.424123I
−4.13553 − 5.87181I 0
u = 0.710381 − 0.675563I
a = −0.160649 − 0.663844I
b = −1.239970 + 0.424123I
−4.13553 + 5.87181I 0
u = −0.950755 + 0.378156I
a = 0.576510 + 0.789498I
b = 1.220860 − 0.595168I
−5.8255 + 14.7586I 0
u = −0.950755 − 0.378156I
a = 0.576510 − 0.789498I
b = 1.220860 + 0.595168I
−5.8255 − 14.7586I 0
u = 0.876850 + 0.401996I
a = −0.657246 + 0.667423I
b = −1.059220 − 0.374861I
−2.73674 − 3.81103I 0
u = 0.876850 − 0.401996I
a = −0.657246 − 0.667423I
b = −1.059220 + 0.374861I
−2.73674 + 3.81103I 0
u = 0.920571 + 0.263564I
a = −0.342320 + 0.713848I
b = −1.005740 + 0.168942I
−5.52437 + 0.55845I 0
u = 0.920571 − 0.263564I
a = −0.342320 − 0.713848I
b = −1.005740 − 0.168942I
−5.52437 − 0.55845I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.248446 + 1.032260I
a = 0.05791 + 2.36671I
b = −0.773771 − 0.599814I
−2.70153 − 6.27133I 0
u = 0.248446 − 1.032260I
a = 0.05791 − 2.36671I
b = −0.773771 + 0.599814I
−2.70153 + 6.27133I 0
u = 0.927301 + 0.037439I
a = −0.456936 − 0.740794I
b = −0.972638 + 0.460098I
−5.63011 + 1.69117I 0
u = 0.927301 − 0.037439I
a = −0.456936 + 0.740794I
b = −0.972638 − 0.460098I
−5.63011 − 1.69117I 0
u = −0.823585 + 0.343442I
a = −0.766504 − 0.808831I
b = −1.228460 + 0.594830I
−1.10225 + 9.30326I 0
u = −0.823585 − 0.343442I
a = −0.766504 + 0.808831I
b = −1.228460 − 0.594830I
−1.10225 − 9.30326I 0
u = 0.471973 + 0.755429I
a = 0.547287 − 0.692286I
b = −0.452214 + 0.309658I
−2.03687 − 2.78273I 0
u = 0.471973 − 0.755429I
a = 0.547287 + 0.692286I
b = −0.452214 − 0.309658I
−2.03687 + 2.78273I 0
u = 1.058890 + 0.388787I
a = 0.412535 − 0.239057I
b = 1.133490 + 0.285129I
−5.98452 − 3.86162I 0
u = 1.058890 − 0.388787I
a = 0.412535 + 0.239057I
b = 1.133490 − 0.285129I
−5.98452 + 3.86162I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.035090 + 0.463986I
a = 0.471933 − 0.959842I
b = 1.027660 + 0.425622I
−5.72968 − 4.48341I 0
u = 1.035090 − 0.463986I
a = 0.471933 + 0.959842I
b = 1.027660 − 0.425622I
−5.72968 + 4.48341I 0
u = −0.076786 + 1.154700I
a = 0.144743 + 0.110076I
b = −1.48191 − 0.22697I
−5.32053 − 4.44523I 0
u = −0.076786 − 1.154700I
a = 0.144743 − 0.110076I
b = −1.48191 + 0.22697I
−5.32053 + 4.44523I 0
u = 0.673070 + 0.943463I
a = −0.097615 + 0.277155I
b = −0.855254 + 0.159813I
−1.22395 − 1.64245I 0
u = 0.673070 − 0.943463I
a = −0.097615 − 0.277155I
b = −0.855254 − 0.159813I
−1.22395 + 1.64245I 0
u = −0.604200 + 0.546499I
a = 1.45515 + 0.62412I
b = 0.413674 − 0.463374I
−2.21578 − 4.91795I 0
u = −0.604200 − 0.546499I
a = 1.45515 − 0.62412I
b = 0.413674 + 0.463374I
−2.21578 + 4.91795I 0
u = −0.697511 + 0.374057I
a = 0.153012 − 0.426392I
b = 0.234013 + 0.975605I
−2.81738 + 9.12644I 0
u = −0.697511 − 0.374057I
a = 0.153012 + 0.426392I
b = 0.234013 − 0.975605I
−2.81738 − 9.12644I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.780473 + 0.927697I
a = −0.280900 + 0.109842I
b = 1.081760 + 0.471945I
−4.24779 − 8.88674I 0
u = −0.780473 − 0.927697I
a = −0.280900 − 0.109842I
b = 1.081760 − 0.471945I
−4.24779 + 8.88674I 0
u = 0.821779 + 0.895107I
a = 0.253931 + 0.215585I
b = 0.878324 − 0.273970I
−4.54611 − 1.90325I 0
u = 0.821779 − 0.895107I
a = 0.253931 − 0.215585I
b = 0.878324 + 0.273970I
−4.54611 + 1.90325I 0
u = 0.448782 + 1.129800I
a = 0.282045 − 0.326218I
b = −0.968796 + 0.200248I
−2.09122 − 3.25336I 0
u = 0.448782 − 1.129800I
a = 0.282045 + 0.326218I
b = −0.968796 − 0.200248I
−2.09122 + 3.25336I 0
u = −0.287540 + 1.188040I
a = −0.894690 + 0.350012I
b = 1.329140 + 0.452737I
−1.37349 + 0.92683I 0
u = −0.287540 − 1.188040I
a = −0.894690 − 0.350012I
b = 1.329140 − 0.452737I
−1.37349 − 0.92683I 0
u = −0.030401 + 1.243270I
a = 0.21021 + 2.56463I
b = −0.641198 − 0.258051I
−0.68606 + 6.01802I 0
u = −0.030401 − 1.243270I
a = 0.21021 − 2.56463I
b = −0.641198 + 0.258051I
−0.68606 − 6.01802I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.098424 + 1.241790I
a = −0.621581 + 0.389280I
b = 1.54433 + 0.04239I
−0.45702 + 1.43647I 0
u = −0.098424 − 1.241790I
a = −0.621581 − 0.389280I
b = 1.54433 − 0.04239I
−0.45702 − 1.43647I 0
u = −0.733155 + 0.092657I
a = 1.016870 + 0.296987I
b = 1.26236 − 0.68131I
−4.69874 + 2.79612I 0
u = −0.733155 − 0.092657I
a = 1.016870 − 0.296987I
b = 1.26236 + 0.68131I
−4.69874 − 2.79612I 0
u = 0.663880 + 0.311056I
a = −0.018267 + 0.881601I
b = 0.090419 − 0.426726I
−3.45989 − 1.16177I 0
u = 0.663880 − 0.311056I
a = −0.018267 − 0.881601I
b = 0.090419 + 0.426726I
−3.45989 + 1.16177I 0
u = 0.363362 + 0.635871I
a = −1.221540 − 0.420107I
b = 0.925861 − 0.197907I
−0.153349 − 0.132354I 0
u = 0.363362 − 0.635871I
a = −1.221540 + 0.420107I
b = 0.925861 + 0.197907I
−0.153349 + 0.132354I 0
u = −0.056699 + 1.274890I
a = −0.89526 − 2.10953I
b = 0.362918 + 1.164050I
4.42784 − 2.41245I 0
u = −0.056699 − 1.274890I
a = −0.89526 + 2.10953I
b = 0.362918 − 1.164050I
4.42784 + 2.41245I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.112257 + 1.278830I
a = −0.19799 − 2.06823I
b = 0.662336 + 0.119214I
3.48220 + 0.33660I 0
u = 0.112257 − 1.278830I
a = −0.19799 + 2.06823I
b = 0.662336 − 0.119214I
3.48220 − 0.33660I 0
u = 0.358917 + 0.615524I
a = −1.26873 + 2.55917I
b = −0.834546 − 0.388384I
−2.83699 − 6.20686I 0. + 10.87479I
u = 0.358917 − 0.615524I
a = −1.26873 − 2.55917I
b = −0.834546 + 0.388384I
−2.83699 + 6.20686I 0. − 10.87479I
u = −0.139703 + 1.284050I
a = 0.872531 − 0.086241I
b = −1.71657 − 0.09524I
−4.66332 + 7.15556I 0
u = −0.139703 − 1.284050I
a = 0.872531 + 0.086241I
b = −1.71657 + 0.09524I
−4.66332 − 7.15556I 0
u = −0.223759 + 1.274350I
a = 0.92487 − 1.66131I
b = −1.097840 + 0.493168I
−4.16337 − 1.87122I 0
u = −0.223759 − 1.274350I
a = 0.92487 + 1.66131I
b = −1.097840 − 0.493168I
−4.16337 + 1.87122I 0
u = 0.040291 + 1.295820I
a = 0.23230 − 1.76775I
b = −1.133660 + 0.662083I
1.87406 + 1.51346I 0
u = 0.040291 − 1.295820I
a = 0.23230 + 1.76775I
b = −1.133660 − 0.662083I
1.87406 − 1.51346I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.322674 + 1.257330I
a = 0.76820 + 1.63579I
b = 0.668901 − 0.810258I
1.14020 + 7.00435I 0
u = −0.322674 − 1.257330I
a = 0.76820 − 1.63579I
b = 0.668901 + 0.810258I
1.14020 − 7.00435I 0
u = 0.909914 + 0.968779I
a = −0.015212 − 0.506982I
b = 0.908547 − 0.078071I
−4.41947 − 2.76812I 0
u = 0.909914 − 0.968779I
a = −0.015212 + 0.506982I
b = 0.908547 + 0.078071I
−4.41947 + 2.76812I 0
u = −0.191254 + 1.326680I
a = −0.788587 − 0.960048I
b = 0.566130 + 1.028180I
1.62293 − 0.45548I 0
u = −0.191254 − 1.326680I
a = −0.788587 + 0.960048I
b = 0.566130 − 1.028180I
1.62293 + 0.45548I 0
u = −0.658028 + 0.033714I
a = 0.860356 − 0.040788I
b = 0.487871 + 0.818994I
−2.60226 − 3.36266I −2.88422 + 8.32461I
u = −0.658028 − 0.033714I
a = 0.860356 + 0.040788I
b = 0.487871 − 0.818994I
−2.60226 + 3.36266I −2.88422 − 8.32461I
u = 0.590138 + 0.292913I
a = 0.349197 − 0.886307I
b = 1.124890 + 0.561726I
−1.38197 − 3.16972I 0.24009 + 5.86421I
u = 0.590138 − 0.292913I
a = 0.349197 + 0.886307I
b = 1.124890 − 0.561726I
−1.38197 + 3.16972I 0.24009 − 5.86421I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.544271 + 0.322218I
a = 0.002303 + 0.176521I
b = −0.231322 − 1.018080I
1.97463 + 3.59000I 2.18111 − 9.54008I
u = −0.544271 − 0.322218I
a = 0.002303 − 0.176521I
b = −0.231322 + 1.018080I
1.97463 − 3.59000I 2.18111 + 9.54008I
u = −0.300405 + 1.336520I
a = −0.00901 + 1.91153I
b = 1.25841 − 0.84764I
−0.19380 + 6.52936I 0
u = −0.300405 − 1.336520I
a = −0.00901 − 1.91153I
b = 1.25841 + 0.84764I
−0.19380 − 6.52936I 0
u = −0.161418 + 1.363690I
a = −0.79148 + 1.80977I
b = 1.152160 − 0.449182I
0.93742 + 2.88356I 0
u = −0.161418 − 1.363690I
a = −0.79148 − 1.80977I
b = 1.152160 + 0.449182I
0.93742 − 2.88356I 0
u = −0.031138 + 1.374080I
a = −0.33165 + 1.64163I
b = 1.164800 − 0.613479I
2.98509 + 2.56355I 0
u = −0.031138 − 1.374080I
a = −0.33165 − 1.64163I
b = 1.164800 + 0.613479I
2.98509 − 2.56355I 0
u = 0.075398 + 1.381720I
a = −0.64377 + 1.75561I
b = 0.76129 − 1.35490I
5.67006 + 1.62713I 0
u = 0.075398 − 1.381720I
a = −0.64377 − 1.75561I
b = 0.76129 + 1.35490I
5.67006 − 1.62713I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.161331 + 1.386940I
a = 0.56011 − 1.32894I
b = 1.156120 + 0.345033I
4.75595 − 4.27023I 0
u = 0.161331 − 1.386940I
a = 0.56011 + 1.32894I
b = 1.156120 − 0.345033I
4.75595 + 4.27023I 0
u = 0.400753 + 1.355730I
a = 0.087799 + 0.999503I
b = −0.725981 − 0.034937I
−0.53523 − 4.19761I 0
u = 0.400753 − 1.355730I
a = 0.087799 − 0.999503I
b = −0.725981 + 0.034937I
−0.53523 + 4.19761I 0
u = −0.500335 + 0.300299I
a = −1.55821 − 0.36015I
b = −0.458401 + 0.490676I
2.04668 − 0.50496I 4.74774 − 1.63481I
u = −0.500335 − 0.300299I
a = −1.55821 + 0.36015I
b = −0.458401 − 0.490676I
2.04668 + 0.50496I 4.74774 + 1.63481I
u = −0.22933 + 1.41090I
a = −0.240214 − 1.348330I
b = −0.928330 + 0.600220I
7.43972 + 2.33030I 0
u = −0.22933 − 1.41090I
a = −0.240214 + 1.348330I
b = −0.928330 − 0.600220I
7.43972 − 2.33030I 0
u = −0.559237 + 0.068955I
a = −0.576035 − 1.250270I
b = −1.386620 + 0.233170I
−8.36721 − 4.78858I −9.12474 + 3.88127I
u = −0.559237 − 0.068955I
a = −0.576035 + 1.250270I
b = −1.386620 − 0.233170I
−8.36721 + 4.78858I −9.12474 − 3.88127I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.21709 + 1.42007I
a = 0.74892 + 1.42849I
b = −0.418875 − 1.269480I
7.54837 + 6.43308I 0
u = −0.21709 − 1.42007I
a = 0.74892 − 1.42849I
b = −0.418875 + 1.269480I
7.54837 − 6.43308I 0
u = −0.19325 + 1.42451I
a = 1.01210 − 1.87923I
b = −1.079390 + 0.409504I
−2.42478 + 9.06140I 0
u = −0.19325 − 1.42451I
a = 1.01210 + 1.87923I
b = −1.079390 − 0.409504I
−2.42478 − 9.06140I 0
u = −0.499376 + 0.245580I
a = −0.51189 − 2.43113I
b = −1.276590 + 0.260999I
−7.87105 + 6.49530I −9.42523 − 6.99676I
u = −0.499376 − 0.245580I
a = −0.51189 + 2.43113I
b = −1.276590 − 0.260999I
−7.87105 − 6.49530I −9.42523 + 6.99676I
u = 0.21879 + 1.43107I
a = −0.55800 − 1.70384I
b = 1.14934 + 0.86467I
4.19508 − 6.10037I 0
u = 0.21879 − 1.43107I
a = −0.55800 + 1.70384I
b = 1.14934 − 0.86467I
4.19508 + 6.10037I 0
u = 0.324349 + 0.433891I
a = −0.529747 − 0.426575I
b = 0.127123 + 0.315352I
−0.037096 − 1.090900I −0.42114 + 5.58767I
u = 0.324349 − 0.433891I
a = −0.529747 + 0.426575I
b = 0.127123 − 0.315352I
−0.037096 + 1.090900I −0.42114 − 5.58767I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.16854 + 1.45294I
a = 0.369845 + 1.142920I
b = −0.240117 − 0.918274I
4.38303 − 4.19511I 0
u = 0.16854 − 1.45294I
a = 0.369845 − 1.142920I
b = −0.240117 + 0.918274I
4.38303 + 4.19511I 0
u = 0.11022 + 1.46155I
a = 0.13378 − 1.48184I
b = −0.204410 + 1.134740I
6.45842 − 2.82218I 0
u = 0.11022 − 1.46155I
a = 0.13378 + 1.48184I
b = −0.204410 − 1.134740I
6.45842 + 2.82218I 0
u = 0.26509 + 1.45041I
a = −0.554874 + 1.175130I
b = 0.503496 − 0.747600I
2.30403 − 4.52481I 0
u = 0.26509 − 1.45041I
a = −0.554874 − 1.175130I
b = 0.503496 + 0.747600I
2.30403 + 4.52481I 0
u = −0.26766 + 1.45291I
a = −0.63295 − 1.38107I
b = 0.382706 + 1.230100I
3.05018 + 12.65850I 0
u = −0.26766 − 1.45291I
a = −0.63295 + 1.38107I
b = 0.382706 − 1.230100I
3.05018 − 12.65850I 0
u = 0.13370 + 1.48386I
a = 0.069161 − 1.218020I
b = −0.109373 + 0.916612I
6.35142 − 2.84344I 0
u = 0.13370 − 1.48386I
a = 0.069161 + 1.218020I
b = −0.109373 − 0.916612I
6.35142 + 2.84344I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.32331 + 1.45711I
a = 0.19719 − 1.76021I
b = −1.29655 + 0.73348I
4.6636 + 13.4608I 0
u = −0.32331 − 1.45711I
a = 0.19719 + 1.76021I
b = −1.29655 − 0.73348I
4.6636 − 13.4608I 0
u = 0.057887 + 0.501362I
a = −0.940336 − 0.573017I
b = 0.190226 + 0.738558I
0.17753 − 1.84376I 5.68204 + 3.35389I
u = 0.057887 − 0.501362I
a = −0.940336 + 0.573017I
b = 0.190226 − 0.738558I
0.17753 + 1.84376I 5.68204 − 3.35389I
u = −0.15097 + 1.49566I
a = 0.109950 + 1.164260I
b = 0.959123 − 0.508506I
4.64571 − 2.28975I 0
u = −0.15097 − 1.49566I
a = 0.109950 − 1.164260I
b = 0.959123 + 0.508506I
4.64571 + 2.28975I 0
u = −0.477345 + 0.120607I
a = 1.31244 + 1.59177I
b = 1.322360 − 0.208432I
−3.80983 + 0.57311I −9.45730 + 1.68885I
u = −0.477345 − 0.120607I
a = 1.31244 − 1.59177I
b = 1.322360 + 0.208432I
−3.80983 − 0.57311I −9.45730 − 1.68885I
u = 0.21833 + 1.50245I
a = −0.13194 + 1.57274I
b = −1.103140 − 0.458774I
3.95038 − 8.84943I 0
u = 0.21833 − 1.50245I
a = −0.13194 − 1.57274I
b = −1.103140 + 0.458774I
3.95038 + 8.84943I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.41003 + 1.47277I
a = −0.200926 − 1.091420I
b = 1.304720 + 0.503059I
−0.12706 − 9.08974I 0
u = 0.41003 − 1.47277I
a = −0.200926 + 1.091420I
b = 1.304720 − 0.503059I
−0.12706 + 9.08974I 0
u = 0.31796 + 1.49626I
a = 0.16241 + 1.44977I
b = −1.172020 − 0.570588I
3.40236 − 8.11118I 0
u = 0.31796 − 1.49626I
a = 0.16241 − 1.44977I
b = −1.172020 + 0.570588I
3.40236 + 8.11118I 0
u = −0.36939 + 1.49324I
a = −0.19320 + 1.69855I
b = 1.28262 − 0.72345I
0.1662 + 19.5178I 0
u = −0.36939 − 1.49324I
a = −0.19320 − 1.69855I
b = 1.28262 + 0.72345I
0.1662 − 19.5178I 0
u = 0.09369 + 1.55360I
a = −1.079750 + 0.029301I
b = 0.553396 − 0.133180I
7.15214 − 1.71754I 0
u = 0.09369 − 1.55360I
a = −1.079750 − 0.029301I
b = 0.553396 + 0.133180I
7.15214 + 1.71754I 0
u = 0.26232 + 1.53818I
a = 0.53755 + 1.38774I
b = −1.31579 − 0.72013I
2.98298 − 9.50561I 0
u = 0.26232 − 1.53818I
a = 0.53755 − 1.38774I
b = −1.31579 + 0.72013I
2.98298 + 9.50561I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.07254 + 1.55880I
a = 0.535691 + 0.604356I
b = −0.614451 − 0.562278I
8.36751 − 2.32631I 0
u = −0.07254 − 1.55880I
a = 0.535691 − 0.604356I
b = −0.614451 + 0.562278I
8.36751 + 2.32631I 0
u = 0.39814 + 1.52226I
a = −0.15966 − 1.62974I
b = 1.070620 + 0.600799I
0.58666 − 9.65964I 0
u = 0.39814 − 1.52226I
a = −0.15966 + 1.62974I
b = 1.070620 − 0.600799I
0.58666 + 9.65964I 0
u = 0.411023 + 0.111534I
a = 3.95344 + 0.88557I
b = 0.915658 + 0.227156I
−0.17955 − 2.16910I −5.61403 + 6.23784I
u = 0.411023 − 0.111534I
a = 3.95344 − 0.88557I
b = 0.915658 − 0.227156I
−0.17955 + 2.16910I −5.61403 − 6.23784I
u = 0.13104 + 1.59747I
a = 0.764192 − 0.716684I
b = −0.469970 + 0.418534I
5.98696 − 5.01739I 0
u = 0.13104 − 1.59747I
a = 0.764192 + 0.716684I
b = −0.469970 − 0.418534I
5.98696 + 5.01739I 0
u = 0.251273 + 0.294215I
a = 2.55180 + 0.33707I
b = −0.706513 − 0.551091I
−1.53089 − 2.29908I 0.66513 + 4.08716I
u = 0.251273 − 0.294215I
a = 2.55180 − 0.33707I
b = −0.706513 + 0.551091I
−1.53089 + 2.29908I 0.66513 − 4.08716I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.01175 + 1.69084I
a = −0.477497 − 0.543141I
b = 0.663871 + 0.364920I
5.70671 − 6.09660I 0
u = 0.01175 − 1.69084I
a = −0.477497 + 0.543141I
b = 0.663871 − 0.364920I
5.70671 + 6.09660I 0
u = 0.130172 + 0.093907I
a = 1.69000 + 1.63828I
b = 0.525449 − 1.070560I
0.78817 + 2.51729I −2.1938 + 17.1726I
u = 0.130172 − 0.093907I
a = 1.69000 − 1.63828I
b = 0.525449 + 1.070560I
0.78817 − 2.51729I −2.1938 − 17.1726I
u = −0.1113420 + 0.0440042I
a = 7.83129 − 0.09976I
b = 0.888164 − 0.452496I
−1.67474 + 2.05875I −0.24305 − 3.66078I
u = −0.1113420 − 0.0440042I
a = 7.83129 + 0.09976I
b = 0.888164 + 0.452496I
−1.67474 − 2.05875I −0.24305 + 3.66078I
19
II.
I
u
2
= h1.50 × 10
5
u
35
+ 1.35 × 10
6
u
34
+ · · · + 8.92 × 10
5
b + 1.01 × 10
6
, −9.19 ×
10
5
u
35
+3.56×10
6
u
34
+· · ·+8.92×10
5
a−2.38×10
6
, u
36
−8u
35
+· · ·−10u+1i
(i) Arc colorings
a
5
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
4
=
u
u
3
+ u
a
2
=
u
2
+ 1
u
4
+ 2u
2
a
9
=
1.02996u
35
− 3.98834u
34
+ ··· − 6.24114u + 2.66418
−0.168177u
35
− 1.51884u
34
+ ··· + 5.82168u − 1.13422
a
3
=
−0.686833u
35
+ 6.84037u
34
+ ··· − 59.7725u + 5.60855
−1.59563u
35
+ 14.2125u
34
+ ··· − 0.377244u − 0.648296
a
8
=
0.861784u
35
− 5.50719u
34
+ ··· − 0.419456u + 1.52997
−0.168177u
35
− 1.51884u
34
+ ··· + 5.82168u − 1.13422
a
7
=
−1.02035u
35
+ 9.21222u
34
+ ··· − 51.8896u + 6.01389
−0.169504u
35
+ 1.08453u
34
+ ··· − 12.1591u + 0.0163512
a
11
=
−0.211043u
35
+ 4.30731u
34
+ ··· − 1.56857u + 3.03228
2.61896u
35
− 19.8031u
34
+ ··· − 33.0782u + 4.21104
a
6
=
0.335996u
35
− 2.76642u
34
+ ··· − 44.8199u + 3.94342
1.61896u
35
− 10.8031u
34
+ ··· − 9.07815u + 0.211043
a
10
=
−0.768259u
35
+ 9.48715u
34
+ ··· + 17.7380u + 0.128084
1.47681u
35
− 9.34615u
34
+ ··· − 42.3705u + 4.93644
(ii) Obstruction class = 1
(iii) Cusp Shapes =
8011071
297307
u
35
−
62847785
297307
u
34
+ ··· +
111713417
297307
u −
9239715
297307
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
12
u
36
− 8u
35
+ ··· − 10u + 1
c
2
u
36
− 2u
35
+ ··· − u + 1
c
3
u
36
+ 3u
33
+ ··· + 36u + 28
c
4
u
36
+ 8u
35
+ ··· + 10u + 1
c
5
u
36
+ 2u
34
+ ··· − 68u + 28
c
6
u
36
+ 3u
35
+ ··· + 10u + 1
c
7
u
36
+ u
35
+ ··· + u + 1
c
8
u
36
− u
35
+ ··· + 2u + 1
c
9
u
36
− 3u
35
+ ··· − 10u + 1
c
10
u
36
− u
35
+ ··· + 6u + 1
c
11
u
36
+ u
35
+ ··· − 2u + 1
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
y
36
+ 38y
35
+ ··· + 38y + 1
c
2
y
36
+ 12y
35
+ ··· − 7y + 1
c
3
y
36
+ 8y
34
+ ··· + 10128y + 784
c
5
y
36
+ 4y
35
+ ··· + 1200y + 784
c
6
, c
9
y
36
+ 27y
35
+ ··· + 6y + 1
c
7
y
36
+ 15y
35
+ ··· + 3y + 1
c
8
, c
11
y
36
− 21y
35
+ ··· − 30y + 1
c
10
y
36
+ 3y
35
+ ··· + 70y
2
+ 1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.533885 + 0.970339I
a = 0.127119 + 0.362223I
b = −0.989285 + 0.135828I
−1.64580 − 1.75060I 0
u = 0.533885 − 0.970339I
a = 0.127119 − 0.362223I
b = −0.989285 − 0.135828I
−1.64580 + 1.75060I 0
u = 0.969458 + 0.588695I
a = 0.429402 − 0.700696I
b = 1.032740 + 0.357926I
−4.80823 − 4.53254I 0
u = 0.969458 − 0.588695I
a = 0.429402 + 0.700696I
b = 1.032740 − 0.357926I
−4.80823 + 4.53254I 0
u = 0.233279 + 1.150440I
a = 0.736292 + 0.587646I
b = −1.386120 + 0.239135I
−1.37039 − 1.28460I 0
u = 0.233279 − 1.150440I
a = 0.736292 − 0.587646I
b = −1.386120 − 0.239135I
−1.37039 + 1.28460I 0
u = −0.037785 + 1.178950I
a = −0.609449 − 0.538714I
b = 1.49631 − 0.04163I
−4.84574 + 5.70700I 0
u = −0.037785 − 1.178950I
a = −0.609449 + 0.538714I
b = 1.49631 + 0.04163I
−4.84574 − 5.70700I 0
u = 0.805016 + 0.126771I
a = −0.824930 + 0.385825I
b = −1.095740 − 0.538036I
−4.18489 − 2.62068I −2.84257 + 3.19711I
u = 0.805016 − 0.126771I
a = −0.824930 − 0.385825I
b = −1.095740 + 0.538036I
−4.18489 + 2.62068I −2.84257 − 3.19711I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.165779 + 1.234590I
a = 0.13062 + 2.58731I
b = 0.601661 − 0.283064I
−0.74410 + 7.03680I 0
u = −0.165779 − 1.234590I
a = 0.13062 − 2.58731I
b = 0.601661 + 0.283064I
−0.74410 − 7.03680I 0
u = 0.899142 + 0.916996I
a = 0.0821422 + 0.0046731I
b = 0.832483 − 0.264930I
−3.92995 − 1.97942I 0
u = 0.899142 − 0.916996I
a = 0.0821422 − 0.0046731I
b = 0.832483 + 0.264930I
−3.92995 + 1.97942I 0
u = −0.007158 + 0.708970I
a = −0.867199 − 1.007810I
b = 1.358370 + 0.115535I
−6.64576 − 5.45010I −5.09080 + 4.87596I
u = −0.007158 − 0.708970I
a = −0.867199 + 1.007810I
b = 1.358370 − 0.115535I
−6.64576 + 5.45010I −5.09080 − 4.87596I
u = 0.048386 + 1.293590I
a = 0.74648 − 2.14839I
b = −0.570571 + 1.050880I
4.52833 + 1.97332I 0
u = 0.048386 − 1.293590I
a = 0.74648 + 2.14839I
b = −0.570571 − 1.050880I
4.52833 − 1.97332I 0
u = −0.028795 + 1.323720I
a = 0.09215 − 1.88659I
b = −1.015720 + 0.567973I
4.04448 + 2.16603I 0
u = −0.028795 − 1.323720I
a = 0.09215 + 1.88659I
b = −1.015720 − 0.567973I
4.04448 − 2.16603I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.347408 + 1.329210I
a = −0.21748 + 1.64557I
b = −1.038130 − 0.766999I
0.36298 − 6.77899I 0
u = 0.347408 − 1.329210I
a = −0.21748 − 1.64557I
b = −1.038130 + 0.766999I
0.36298 + 6.77899I 0
u = −0.267265 + 0.539289I
a = 1.65877 + 2.74128I
b = 0.614762 + 0.105373I
−3.24314 − 5.36502I −7.53946 + 2.37356I
u = −0.267265 − 0.539289I
a = 1.65877 − 2.74128I
b = 0.614762 − 0.105373I
−3.24314 + 5.36502I −7.53946 − 2.37356I
u = 0.09281 + 1.45881I
a = 0.21397 + 1.46679I
b = −0.258530 − 1.133270I
6.47556 − 3.78965I 0
u = 0.09281 − 1.45881I
a = 0.21397 − 1.46679I
b = −0.258530 + 1.133270I
6.47556 + 3.78965I 0
u = 0.05185 + 1.54777I
a = 0.943551 − 0.051012I
b = −0.503844 − 0.114561I
7.14619 − 2.13271I 0
u = 0.05185 − 1.54777I
a = 0.943551 + 0.051012I
b = −0.503844 + 0.114561I
7.14619 + 2.13271I 0
u = 0.29173 + 1.54648I
a = −0.33020 − 1.38646I
b = 1.202160 + 0.570425I
2.20071 − 8.92537I 0
u = 0.29173 − 1.54648I
a = −0.33020 + 1.38646I
b = 1.202160 − 0.570425I
2.20071 + 8.92537I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.09740 + 1.64098I
a = −0.461130 + 0.535451I
b = 0.493504 − 0.179561I
5.43737 − 5.17892I 0
u = 0.09740 − 1.64098I
a = −0.461130 − 0.535451I
b = 0.493504 + 0.179561I
5.43737 + 5.17892I 0
u = −0.037185 + 0.297031I
a = 2.21923 − 3.75530I
b = −0.785947 − 0.304483I
0.41358 − 1.85518I 6.34588 + 1.64255I
u = −0.037185 − 0.297031I
a = 2.21923 + 3.75530I
b = −0.785947 + 0.304483I
0.41358 + 1.85518I 6.34588 − 1.64255I
u = 0.173606 + 0.180367I
a = 0.930666 + 0.069034I
b = −0.488104 − 1.025620I
0.80880 − 2.71970I 2.4894 + 21.3470I
u = 0.173606 − 0.180367I
a = 0.930666 − 0.069034I
b = −0.488104 + 1.025620I
0.80880 + 2.71970I 2.4894 − 21.3470I
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
12
(u
36
− 8u
35
+ ··· − 10u + 1)(u
146
+ 7u
145
+ ··· − 117u + 31)
c
2
(u
36
− 2u
35
+ ··· − u + 1)(u
146
− 3u
145
+ ··· − 232u + 23)
c
3
(u
36
+ 3u
33
+ ··· + 36u + 28)
· (u
146
− u
145
+ ··· + 36926312u + 87096208)
c
4
(u
36
+ 8u
35
+ ··· + 10u + 1)(u
146
+ 7u
145
+ ··· − 117u + 31)
c
5
(u
36
+ 2u
34
+ ··· − 68u + 28)
· (u
146
+ u
145
+ ··· − 73218680u + 5055088)
c
6
(u
36
+ 3u
35
+ ··· + 10u + 1)(u
146
+ 6u
145
+ ··· + 59u + 1)
c
7
(u
36
+ u
35
+ ··· + u + 1)(u
146
+ 14u
144
+ ··· − 34304u + 1984)
c
8
(u
36
− u
35
+ ··· + 2u + 1)(u
146
+ 6u
145
+ ··· + 10735u + 2329)
c
9
(u
36
− 3u
35
+ ··· − 10u + 1)(u
146
+ 6u
145
+ ··· + 59u + 1)
c
10
(u
36
− u
35
+ ··· + 6u + 1)(u
146
− 6u
145
+ ··· + 186624u + 155392)
c
11
(u
36
+ u
35
+ ··· − 2u + 1)(u
146
+ 6u
145
+ ··· + 10735u + 2329)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
(y
36
+ 38y
35
+ ··· + 38y + 1)(y
146
+ 139y
145
+ ··· − 122499y + 961)
c
2
(y
36
+ 12y
35
+ ··· − 7y + 1)(y
146
+ 21y
145
+ ··· + 34036y + 529)
c
3
(y
36
+ 8y
34
+ ··· + 10128y + 784)
· (y
146
+ 25y
145
+ ··· + 222241981535540160y + 7585749447979264)
c
5
(y
36
+ 4y
35
+ ··· + 1200y + 784)
· (y
146
+ 29y
145
+ ··· + 948957128361152y + 25553914687744)
c
6
, c
9
(y
36
+ 27y
35
+ ··· + 6y + 1)(y
146
+ 104y
145
+ ··· − 243y + 1)
c
7
(y
36
+ 15y
35
+ ··· + 3y + 1)
· (y
146
+ 28y
145
+ ··· + 135151616y + 3936256)
c
8
, c
11
(y
36
− 21y
35
+ ··· − 30y + 1)
· (y
146
− 76y
145
+ ··· − 142242651y + 5424241)
c
10
(y
36
+ 3y
35
+ ··· + 70y
2
+ 1)
· (y
146
+ 20y
145
+ ··· + 1419362140160y + 24146673664)
28
