12a
0915
(K12a
0915
)
A knot diagram
1
Linearized knot diagam
4 6 9 8 12 2 11 1 3 5 7 10
Solving Sequence
2,7
6
3,12
5 11 8 4 1 10 9
c
6
c
2
c
5
c
11
c
7
c
4
c
1
c
10
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.26463 × 10
1251
u
188
− 2.01135 × 10
1251
u
187
+ ··· + 1.15374 × 10
1253
b − 4.34866 × 10
1255
,
− 3.65706 × 10
1255
u
188
− 9.37314 × 10
1255
u
187
+ ··· + 6.73843 × 10
1257
a + 2.72729 × 10
1260
,
u
189
+ 2u
188
+ ··· + 118941u − 58405i
I
u
2
= h−9.00364 × 10
53
u
53
− 7.38793 × 10
53
u
52
+ ··· + 4.94949 × 10
51
b + 7.82607 × 10
53
,
8.75690 × 10
53
u
53
+ 3.66837 × 10
53
u
52
+ ··· + 4.94949 × 10
51
a − 2.10818 × 10
54
, u
54
+ u
53
+ ··· − 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 243 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−1.26 × 10
1251
u
188
− 2.01 × 10
1251
u
187
+ · · · + 1.15 × 10
1253
b −
4.35 × 10
1255
, −3.66 × 10
1255
u
188
− 9.37 × 10
1255
u
187
+ · · · + 6.74 ×
10
1257
a + 2.73 × 10
1260
, u
189
+ 2u
188
+ · · · + 118941u − 58405i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
0.00542717u
188
+ 0.0139100u
187
+ ··· + 382.471u − 404.738
0.0109611u
188
+ 0.0174333u
187
+ ··· − 2251.87u + 376.919
a
5
=
0.0147816u
188
+ 0.0316648u
187
+ ··· − 1194.89u − 352.915
0.00405229u
188
+ 0.00688912u
187
+ ··· − 711.369u + 48.7705
a
11
=
0.0163883u
188
+ 0.0313432u
187
+ ··· − 1869.40u − 27.8189
0.0109611u
188
+ 0.0174333u
187
+ ··· − 2251.87u + 376.919
a
8
=
−0.0112796u
188
− 0.0197827u
187
+ ··· + 1435.28u + 26.7246
−0.00110456u
188
− 0.00287936u
187
+ ··· − 292.853u + 152.533
a
4
=
0.00964069u
188
+ 0.0148069u
187
+ ··· − 2323.57u + 405.075
0.00751632u
188
+ 0.0172737u
187
+ ··· + 12.1275u − 389.388
a
1
=
−0.0289478u
188
− 0.0463809u
187
+ ··· + 5767.71u − 765.938
−0.0262397u
188
− 0.0501126u
187
+ ··· + 2937.81u + 175.792
a
10
=
−0.00176167u
188
+ 0.0109615u
187
+ ··· + 4439.35u − 1765.87
0.00268700u
188
+ 0.0197346u
187
+ ··· + 4070.65u − 1897.80
a
9
=
0.00169698u
188
+ 0.0196334u
187
+ ··· + 4731.83u − 2099.87
0.00460298u
188
+ 0.0247604u
187
+ ··· + 4356.43u − 2129.32
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0158544u
188
+ 0.0408087u
187
+ ··· − 931.471u − 383.977
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
189
− 3u
188
+ ··· + 477364u − 16517
c
2
, c
6
u
189
− 2u
188
+ ··· + 118941u + 58405
c
3
, c
9
u
189
+ u
188
+ ··· + 1777914u + 1267391
c
4
u
189
+ 4u
188
+ ··· − 64079539000u + 4971467125
c
5
u
189
+ u
188
+ ··· + 6444964u + 558157
c
7
, c
11
u
189
+ 5u
188
+ ··· − 572070u + 16507
c
8
u
189
+ 3u
188
+ ··· − 14u + 1
c
10
u
189
+ u
188
+ ··· + 50897940u + 7370057
c
12
u
189
− 15u
188
+ ··· − 30374880u + 1807073
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
189
+ y
188
+ ··· + 49971649360y −272811289
c
2
, c
6
y
189
+ 94y
188
+ ··· − 130612517649y −3411144025
c
3
, c
9
y
189
+ 135y
188
+ ··· − 81751009774592y −1606279946881
c
4
y
189
+ 104y
188
+ ··· − 1.76 × 10
21
y −2.47 × 10
19
c
5
y
189
+ 25y
188
+ ··· − 24262094234224y −311539236649
c
7
, c
11
y
189
+ 127y
188
+ ··· + 48428270082y −272481049
c
8
y
189
− 5y
188
+ ··· + 44y −1
c
10
y
189
+ 53y
188
+ ··· − 329523948949056y −54317740183249
c
12
y
189
+ 5y
188
+ ··· − 213376445564522y −3265512827329
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.067562 + 0.993666I
a = −0.267499 − 1.270710I
b = 0.440694 + 0.994216I
−0.74624 − 2.81261I 0
u = 0.067562 − 0.993666I
a = −0.267499 + 1.270710I
b = 0.440694 − 0.994216I
−0.74624 + 2.81261I 0
u = 0.630369 + 0.768096I
a = −2.47900 − 0.30501I
b = 0.58918 − 1.30282I
4.14360 + 8.55032I 0
u = 0.630369 − 0.768096I
a = −2.47900 + 0.30501I
b = 0.58918 + 1.30282I
4.14360 − 8.55032I 0
u = 0.510576 + 0.847575I
a = 2.13261 − 0.16877I
b = −0.63701 + 1.33023I
6.20832 + 1.81257I 0
u = 0.510576 − 0.847575I
a = 2.13261 + 0.16877I
b = −0.63701 − 1.33023I
6.20832 − 1.81257I 0
u = −0.917893 + 0.362064I
a = 0.127270 + 0.463090I
b = 0.225853 + 1.222980I
3.79380 − 3.29707I 0
u = −0.917893 − 0.362064I
a = 0.127270 − 0.463090I
b = 0.225853 − 1.222980I
3.79380 + 3.29707I 0
u = −0.194764 + 0.999558I
a = −1.71200 + 0.32202I
b = 1.380270 − 0.290565I
−4.32558 − 0.68091I 0
u = −0.194764 − 0.999558I
a = −1.71200 − 0.32202I
b = 1.380270 + 0.290565I
−4.32558 + 0.68091I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.692832 + 0.691609I
a = 0.198448 + 0.083327I
b = 0.41938 + 1.43772I
4.30322 − 3.29973I 0
u = 0.692832 − 0.691609I
a = 0.198448 − 0.083327I
b = 0.41938 − 1.43772I
4.30322 + 3.29973I 0
u = −0.361489 + 0.965972I
a = 0.732225 − 0.194832I
b = −0.367068 + 1.340850I
3.03261 + 0.04426I 0
u = −0.361489 − 0.965972I
a = 0.732225 + 0.194832I
b = −0.367068 − 1.340850I
3.03261 − 0.04426I 0
u = 0.454181 + 0.850872I
a = −1.42130 − 0.79734I
b = 0.854381 − 0.545454I
−2.30675 + 2.00402I 0
u = 0.454181 − 0.850872I
a = −1.42130 + 0.79734I
b = 0.854381 + 0.545454I
−2.30675 − 2.00402I 0
u = −0.311636 + 0.911864I
a = 2.05776 − 1.43772I
b = −2.05400 + 0.20120I
−6.91874 − 1.30838I 0
u = −0.311636 − 0.911864I
a = 2.05776 + 1.43772I
b = −2.05400 − 0.20120I
−6.91874 + 1.30838I 0
u = −0.463140 + 0.928696I
a = 1.16557 − 1.81104I
b = −0.148287 − 1.207340I
3.41518 − 5.11949I 0
u = −0.463140 − 0.928696I
a = 1.16557 + 1.81104I
b = −0.148287 + 1.207340I
3.41518 + 5.11949I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.800168 + 0.678778I
a = 0.317561 − 0.373237I
b = −0.813611 + 0.096392I
−2.63610 − 2.21131I 0
u = −0.800168 − 0.678778I
a = 0.317561 + 0.373237I
b = −0.813611 − 0.096392I
−2.63610 + 2.21131I 0
u = −0.441877 + 0.835711I
a = 0.839311 − 0.187778I
b = −0.072651 + 0.141814I
−0.04337 − 1.92145I 0
u = −0.441877 − 0.835711I
a = 0.839311 + 0.187778I
b = −0.072651 − 0.141814I
−0.04337 + 1.92145I 0
u = −0.222220 + 1.031650I
a = 1.60894 − 0.03527I
b = −0.676095 + 0.053290I
−1.10304 − 3.13220I 0
u = −0.222220 − 1.031650I
a = 1.60894 + 0.03527I
b = −0.676095 − 0.053290I
−1.10304 + 3.13220I 0
u = −0.178838 + 0.912880I
a = −1.84808 + 0.39642I
b = 0.906213 − 0.488177I
−2.49055 + 0.12903I 0
u = −0.178838 − 0.912880I
a = −1.84808 − 0.39642I
b = 0.906213 + 0.488177I
−2.49055 − 0.12903I 0
u = −1.064960 + 0.179466I
a = −0.172184 + 0.646048I
b = 0.951057 + 0.062605I
−0.33183 + 8.88694I 0
u = −1.064960 − 0.179466I
a = −0.172184 − 0.646048I
b = 0.951057 − 0.062605I
−0.33183 − 8.88694I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.512391 + 0.963034I
a = −1.53301 − 0.70205I
b = 0.603849 − 0.418419I
−3.18405 + 6.17630I 0
u = 0.512391 − 0.963034I
a = −1.53301 + 0.70205I
b = 0.603849 + 0.418419I
−3.18405 − 6.17630I 0
u = 0.519235 + 0.739624I
a = −0.314813 + 0.480447I
b = −0.36278 − 1.52314I
6.52346 + 2.40126I 0
u = 0.519235 − 0.739624I
a = −0.314813 − 0.480447I
b = −0.36278 + 1.52314I
6.52346 − 2.40126I 0
u = −0.241346 + 1.071480I
a = −0.995958 − 0.025369I
b = 0.919466 − 0.198745I
−3.20960 − 1.61993I 0
u = −0.241346 − 1.071480I
a = −0.995958 + 0.025369I
b = 0.919466 + 0.198745I
−3.20960 + 1.61993I 0
u = 0.274752 + 1.069880I
a = −1.29342 − 0.85396I
b = 1.184690 + 0.383992I
−5.28303 + 0.39347I 0
u = 0.274752 − 1.069880I
a = −1.29342 + 0.85396I
b = 1.184690 − 0.383992I
−5.28303 − 0.39347I 0
u = 0.000937 + 1.113790I
a = 0.551845 + 0.591997I
b = −0.12195 + 1.44938I
3.37739 + 0.05370I 0
u = 0.000937 − 1.113790I
a = 0.551845 − 0.591997I
b = −0.12195 − 1.44938I
3.37739 − 0.05370I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.044860 + 0.385777I
a = 0.080676 − 0.219129I
b = −0.433531 − 1.319580I
7.58545 − 8.67350I 0
u = 1.044860 − 0.385777I
a = 0.080676 + 0.219129I
b = −0.433531 + 1.319580I
7.58545 + 8.67350I 0
u = 0.880213 + 0.084755I
a = 0.661929 + 0.103970I
b = −0.218737 − 1.077910I
−0.40974 − 6.70785I 0
u = 0.880213 − 0.084755I
a = 0.661929 − 0.103970I
b = −0.218737 + 1.077910I
−0.40974 + 6.70785I 0
u = 0.344219 + 0.809766I
a = 0.630549 + 0.772802I
b = −0.247227 + 0.493087I
−0.30431 − 2.06669I 0
u = 0.344219 − 0.809766I
a = 0.630549 − 0.772802I
b = −0.247227 − 0.493087I
−0.30431 + 2.06669I 0
u = −1.118940 + 0.108725I
a = 0.183365 − 0.289602I
b = −0.178442 − 1.248700I
7.17662 − 2.58172I 0
u = −1.118940 − 0.108725I
a = 0.183365 + 0.289602I
b = −0.178442 + 1.248700I
7.17662 + 2.58172I 0
u = 0.233385 + 1.102620I
a = −1.070960 − 0.124060I
b = 0.144351 + 0.461703I
−1.09068 + 3.64692I 0
u = 0.233385 − 1.102620I
a = −1.070960 + 0.124060I
b = 0.144351 − 0.461703I
−1.09068 − 3.64692I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.446277 + 1.038550I
a = 0.050035 + 0.499135I
b = 0.48444 − 1.70775I
1.80645 − 7.56881I 0
u = −0.446277 − 1.038550I
a = 0.050035 − 0.499135I
b = 0.48444 + 1.70775I
1.80645 + 7.56881I 0
u = 1.115130 + 0.245711I
a = −0.182423 − 0.710528I
b = 0.809625 − 0.110733I
0.60913 + 3.47500I 0
u = 1.115130 − 0.245711I
a = −0.182423 + 0.710528I
b = 0.809625 + 0.110733I
0.60913 − 3.47500I 0
u = −0.592722 + 0.978809I
a = −0.127519 + 0.773384I
b = −0.12252 + 1.43050I
2.61438 + 1.30056I 0
u = −0.592722 − 0.978809I
a = −0.127519 − 0.773384I
b = −0.12252 − 1.43050I
2.61438 − 1.30056I 0
u = 0.390097 + 1.081100I
a = −0.64874 − 1.46046I
b = 0.119477 − 1.312790I
0.92326 + 9.92067I 0
u = 0.390097 − 1.081100I
a = −0.64874 + 1.46046I
b = 0.119477 + 1.312790I
0.92326 − 9.92067I 0
u = −0.471385 + 0.705543I
a = 3.38266 − 0.86554I
b = 0.007629 − 1.191340I
3.50830 − 5.62560I 0
u = −0.471385 − 0.705543I
a = 3.38266 + 0.86554I
b = 0.007629 + 1.191340I
3.50830 + 5.62560I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.408891 + 1.077710I
a = 1.34024 + 0.54291I
b = −0.754514 − 0.492258I
−5.42324 + 7.41959I 0
u = 0.408891 − 1.077710I
a = 1.34024 − 0.54291I
b = −0.754514 + 0.492258I
−5.42324 − 7.41959I 0
u = −0.381832 + 0.750348I
a = −3.21827 + 1.18751I
b = −0.040379 + 1.009940I
4.06792 + 1.50761I 0
u = −0.381832 − 0.750348I
a = −3.21827 − 1.18751I
b = −0.040379 − 1.009940I
4.06792 − 1.50761I 0
u = −0.354456 + 0.760501I
a = 0.696321 + 0.178152I
b = −0.085884 + 0.266995I
0.15883 − 1.69167I 0
u = −0.354456 − 0.760501I
a = 0.696321 − 0.178152I
b = −0.085884 − 0.266995I
0.15883 + 1.69167I 0
u = 0.765705 + 0.882418I
a = −1.074670 − 0.891398I
b = 0.247833 − 0.841024I
−2.95144 + 6.03869I 0
u = 0.765705 − 0.882418I
a = −1.074670 + 0.891398I
b = 0.247833 + 0.841024I
−2.95144 − 6.03869I 0
u = 0.617135 + 1.003760I
a = −1.069770 − 0.816316I
b = 1.306430 + 0.027422I
−1.15137 + 2.76544I 0
u = 0.617135 − 1.003760I
a = −1.069770 + 0.816316I
b = 1.306430 − 0.027422I
−1.15137 − 2.76544I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.522093 + 1.061040I
a = 1.314740 + 0.346065I
b = −0.241299 − 0.745231I
0.46504 − 2.65571I 0
u = −0.522093 − 1.061040I
a = 1.314740 − 0.346065I
b = −0.241299 + 0.745231I
0.46504 + 2.65571I 0
u = −0.383872 + 1.124090I
a = −1.65439 − 0.84100I
b = 0.477323 + 0.993956I
−0.87929 − 4.94706I 0
u = −0.383872 − 1.124090I
a = −1.65439 + 0.84100I
b = 0.477323 − 0.993956I
−0.87929 + 4.94706I 0
u = −0.580358 + 1.043430I
a = 1.94397 − 0.08820I
b = −0.118806 − 1.152000I
2.68465 − 3.07609I 0
u = −0.580358 − 1.043430I
a = 1.94397 + 0.08820I
b = −0.118806 + 1.152000I
2.68465 + 3.07609I 0
u = 0.156852 + 0.790567I
a = −3.36753 + 1.61930I
b = −0.011186 − 1.047930I
4.28093 + 1.14181I 0
u = 0.156852 − 0.790567I
a = −3.36753 − 1.61930I
b = −0.011186 + 1.047930I
4.28093 − 1.14181I 0
u = 0.679730 + 0.427112I
a = −0.067595 + 0.748744I
b = 0.28865 + 1.45093I
4.58859 − 5.52276I 0
u = 0.679730 − 0.427112I
a = −0.067595 − 0.748744I
b = 0.28865 − 1.45093I
4.58859 + 5.52276I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.716346 + 0.357965I
a = 0.660286 + 0.769140I
b = 0.035944 + 1.226680I
4.49713 − 1.77571I 0
u = −0.716346 − 0.357965I
a = 0.660286 − 0.769140I
b = 0.035944 − 1.226680I
4.49713 + 1.77571I 0
u = −0.493820 + 1.099010I
a = 1.77862 + 0.09146I
b = −0.64187 − 1.60029I
−1.31049 − 10.22440I 0
u = −0.493820 − 1.099010I
a = 1.77862 − 0.09146I
b = −0.64187 + 1.60029I
−1.31049 + 10.22440I 0
u = −0.352654 + 1.152340I
a = 0.257122 − 0.544690I
b = −0.725173 + 0.970993I
−2.05464 + 2.54881I 0
u = −0.352654 − 1.152340I
a = 0.257122 + 0.544690I
b = −0.725173 − 0.970993I
−2.05464 − 2.54881I 0
u = 0.512946 + 1.094040I
a = 1.30527 + 0.60900I
b = −1.225240 − 0.084845I
0.88755 + 8.48409I 0
u = 0.512946 − 1.094040I
a = 1.30527 − 0.60900I
b = −1.225240 + 0.084845I
0.88755 − 8.48409I 0
u = 1.217460 + 0.149329I
a = −0.510262 + 0.513572I
b = −0.025895 + 1.015500I
4.82411 + 0.12862I 0
u = 1.217460 − 0.149329I
a = −0.510262 − 0.513572I
b = −0.025895 − 1.015500I
4.82411 − 0.12862I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.432266 + 1.148690I
a = 0.007625 − 0.552867I
b = −0.0840058 − 0.0007714I
−0.01218 − 3.75481I 0
u = −0.432266 − 1.148690I
a = 0.007625 + 0.552867I
b = −0.0840058 + 0.0007714I
−0.01218 + 3.75481I 0
u = 0.576994 + 1.088980I
a = −2.01481 + 0.00072I
b = 0.40800 − 1.45334I
2.63633 + 10.42350I 0
u = 0.576994 − 1.088980I
a = −2.01481 − 0.00072I
b = 0.40800 + 1.45334I
2.63633 − 10.42350I 0
u = −0.076030 + 1.236970I
a = 1.396020 − 0.078850I
b = −0.892554 − 0.514801I
−8.87914 − 3.86366I 0
u = −0.076030 − 1.236970I
a = 1.396020 + 0.078850I
b = −0.892554 + 0.514801I
−8.87914 + 3.86366I 0
u = 0.258678 + 1.229290I
a = 0.180358 − 0.797563I
b = 0.102146 + 1.087260I
0.45441 − 2.90483I 0
u = 0.258678 − 1.229290I
a = 0.180358 + 0.797563I
b = 0.102146 − 1.087260I
0.45441 + 2.90483I 0
u = 0.672787 + 0.309542I
a = 0.263570 + 0.645799I
b = 0.317339 + 0.771337I
−0.61250 − 1.94201I 0
u = 0.672787 − 0.309542I
a = 0.263570 − 0.645799I
b = 0.317339 − 0.771337I
−0.61250 + 1.94201I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.441217 + 1.182520I
a = 1.71510 + 0.52130I
b = −0.395486 − 1.312000I
2.93433 − 7.19351I 0
u = −0.441217 − 1.182520I
a = 1.71510 − 0.52130I
b = −0.395486 + 1.312000I
2.93433 + 7.19351I 0
u = −0.722100 + 0.139284I
a = 0.216267 + 0.787891I
b = −0.442679 − 0.213941I
2.91455 − 0.44704I 0
u = −0.722100 − 0.139284I
a = 0.216267 − 0.787891I
b = −0.442679 + 0.213941I
2.91455 + 0.44704I 0
u = 0.569076 + 1.130950I
a = −1.48674 − 0.31305I
b = 0.648890 − 1.097580I
−3.00359 + 6.86673I 0
u = 0.569076 − 1.130950I
a = −1.48674 + 0.31305I
b = 0.648890 + 1.097580I
−3.00359 − 6.86673I 0
u = 0.655347 + 0.309483I
a = 0.413478 + 1.052100I
b = −0.882636 − 0.151125I
3.12881 − 3.97775I 0
u = 0.655347 − 0.309483I
a = 0.413478 − 1.052100I
b = −0.882636 + 0.151125I
3.12881 + 3.97775I 0
u = −0.693295 + 1.076160I
a = 1.212590 − 0.146757I
b = −0.065535 − 1.034750I
1.82503 − 2.62563I 0
u = −0.693295 − 1.076160I
a = 1.212590 + 0.146757I
b = −0.065535 + 1.034750I
1.82503 + 2.62563I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.608820 + 1.129940I
a = 0.982819 + 0.606534I
b = −0.194681 + 1.006450I
−4.10244 − 0.46469I 0
u = 0.608820 − 1.129940I
a = 0.982819 − 0.606534I
b = −0.194681 − 1.006450I
−4.10244 + 0.46469I 0
u = −0.737424 + 1.056050I
a = 0.969367 − 0.664757I
b = −1.047580 − 0.520281I
−3.68053 − 3.71422I 0
u = −0.737424 − 1.056050I
a = 0.969367 + 0.664757I
b = −1.047580 + 0.520281I
−3.68053 + 3.71422I 0
u = −0.091255 + 0.706063I
a = −1.59937 − 0.41719I
b = 0.336292 − 1.296860I
1.36934 + 2.64236I 0
u = −0.091255 − 0.706063I
a = −1.59937 + 0.41719I
b = 0.336292 + 1.296860I
1.36934 − 2.64236I 0
u = −0.384288 + 0.593663I
a = −3.52724 − 0.48755I
b = 0.62491 + 1.28264I
3.31040 + 3.95615I 0
u = −0.384288 − 0.593663I
a = −3.52724 + 0.48755I
b = 0.62491 − 1.28264I
3.31040 − 3.95615I 0
u = −0.369249 + 0.588410I
a = 2.95522 + 0.82669I
b = −0.638871 − 1.005640I
4.31988 − 3.35233I 0
u = −0.369249 − 0.588410I
a = 2.95522 − 0.82669I
b = −0.638871 + 1.005640I
4.31988 + 3.35233I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.643352 + 0.255879I
a = 0.215868 − 0.127431I
b = 0.078573 + 1.100240I
2.69451 − 1.80792I 0
u = −0.643352 − 0.255879I
a = 0.215868 + 0.127431I
b = 0.078573 − 1.100240I
2.69451 + 1.80792I 0
u = 0.730727 + 1.084910I
a = −1.75951 − 0.24757I
b = 0.54865 − 1.41013I
3.42042 + 9.10061I 0
u = 0.730727 − 1.084910I
a = −1.75951 + 0.24757I
b = 0.54865 + 1.41013I
3.42042 − 9.10061I 0
u = 0.505679 + 1.208570I
a = −1.76259 + 0.06068I
b = 0.178992 − 1.132550I
1.07343 + 5.25271I 0
u = 0.505679 − 1.208570I
a = −1.76259 − 0.06068I
b = 0.178992 + 1.132550I
1.07343 − 5.25271I 0
u = −1.284040 + 0.266390I
a = 0.302786 − 0.263434I
b = 0.327306 − 1.027510I
3.41150 + 1.29969I 0
u = −1.284040 − 0.266390I
a = 0.302786 + 0.263434I
b = 0.327306 + 1.027510I
3.41150 − 1.29969I 0
u = 0.554587 + 1.191530I
a = −0.498696 − 0.301605I
b = 0.671956 + 0.459612I
−3.89674 + 2.00708I 0
u = 0.554587 − 1.191530I
a = −0.498696 + 0.301605I
b = 0.671956 − 0.459612I
−3.89674 − 2.00708I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.268575 + 0.629923I
a = 5.08122 − 0.37331I
b = 0.123893 + 1.026060I
2.63860 − 6.93401I 0
u = 0.268575 − 0.629923I
a = 5.08122 + 0.37331I
b = 0.123893 − 1.026060I
2.63860 + 6.93401I 0
u = −0.463069 + 1.233500I
a = −1.40411 − 0.42836I
b = 0.65767 + 1.34438I
−0.72991 − 7.65659I 0
u = −0.463069 − 1.233500I
a = −1.40411 + 0.42836I
b = 0.65767 − 1.34438I
−0.72991 + 7.65659I 0
u = 0.532497 + 1.209700I
a = 1.87562 − 0.38555I
b = −0.398682 + 1.054470I
−3.67796 + 11.75010I 0
u = 0.532497 − 1.209700I
a = 1.87562 + 0.38555I
b = −0.398682 − 1.054470I
−3.67796 − 11.75010I 0
u = −0.074654 + 0.660263I
a = −0.248672 + 0.959306I
b = −0.17057 + 1.47829I
5.76126 + 4.77365I 0
u = −0.074654 − 0.660263I
a = −0.248672 − 0.959306I
b = −0.17057 − 1.47829I
5.76126 − 4.77365I 0
u = −1.259640 + 0.464351I
a = −0.116615 − 0.297780I
b = 0.509769 − 1.307060I
3.5415 + 14.1773I 0
u = −1.259640 − 0.464351I
a = −0.116615 + 0.297780I
b = 0.509769 + 1.307060I
3.5415 − 14.1773I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.546779 + 0.319380I
a = 0.163842 + 0.122860I
b = 0.682547 + 0.440816I
−1.53356 − 1.95289I 0
u = 0.546779 − 0.319380I
a = 0.163842 − 0.122860I
b = 0.682547 − 0.440816I
−1.53356 + 1.95289I 0
u = 0.089516 + 0.625740I
a = −0.383413 + 0.642993I
b = 0.18268 − 1.61150I
3.15914 + 5.21994I 0
u = 0.089516 − 0.625740I
a = −0.383413 − 0.642993I
b = 0.18268 + 1.61150I
3.15914 − 5.21994I 0
u = −0.543527 + 0.304729I
a = 0.76298 − 2.01736I
b = −0.357184 − 1.283810I
1.11652 − 6.49918I 0
u = −0.543527 − 0.304729I
a = 0.76298 + 2.01736I
b = −0.357184 + 1.283810I
1.11652 + 6.49918I 0
u = −0.594099 + 1.244810I
a = −1.184210 − 0.122213I
b = 0.63437 + 1.28829I
−0.02836 − 7.44115I 0
u = −0.594099 − 1.244810I
a = −1.184210 + 0.122213I
b = 0.63437 − 1.28829I
−0.02836 + 7.44115I 0
u = 0.666467 + 1.208450I
a = 1.63594 − 0.01900I
b = −0.58978 + 1.37576I
5.0058 + 14.8149I 0
u = 0.666467 − 1.208450I
a = 1.63594 + 0.01900I
b = −0.58978 − 1.37576I
5.0058 − 14.8149I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.304087 + 1.346180I
a = 0.285202 + 0.695032I
b = −0.127004 − 0.738114I
−5.10275 − 2.09676I 0
u = 0.304087 − 1.346180I
a = 0.285202 − 0.695032I
b = −0.127004 + 0.738114I
−5.10275 + 2.09676I 0
u = −0.598124 + 1.247530I
a = −1.137420 + 0.512824I
b = 1.293650 − 0.002394I
−3.6107 − 14.7049I 0
u = −0.598124 − 1.247530I
a = −1.137420 − 0.512824I
b = 1.293650 + 0.002394I
−3.6107 + 14.7049I 0
u = 0.170765 + 1.378010I
a = 1.041270 − 0.517440I
b = −0.524879 + 0.996016I
−7.31690 + 1.23252I 0
u = 0.170765 − 1.378010I
a = 1.041270 + 0.517440I
b = −0.524879 − 0.996016I
−7.31690 − 1.23252I 0
u = 1.199070 + 0.729359I
a = 0.308121 + 0.263960I
b = −0.112177 + 0.845158I
−0.59534 − 2.47602I 0
u = 1.199070 − 0.729359I
a = 0.308121 − 0.263960I
b = −0.112177 − 0.845158I
−0.59534 + 2.47602I 0
u = 0.410087 + 0.394016I
a = 1.67616 − 0.59559I
b = −0.545543 + 0.089929I
−3.34447 − 3.95397I −11.06995 + 0.I
u = 0.410087 − 0.394016I
a = 1.67616 + 0.59559I
b = −0.545543 − 0.089929I
−3.34447 + 3.95397I −11.06995 + 0.I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.59144 + 1.30473I
a = 0.325611 − 0.172992I
b = −0.223741 − 0.222098I
−3.95372 + 9.46114I 0
u = 0.59144 − 1.30473I
a = 0.325611 + 0.172992I
b = −0.223741 + 0.222098I
−3.95372 − 9.46114I 0
u = −0.341283 + 0.397827I
a = −2.04319 + 0.01918I
b = −0.31236 + 1.47736I
0.92157 + 6.25113I −5.54308 − 8.39226I
u = −0.341283 − 0.397827I
a = −2.04319 − 0.01918I
b = −0.31236 − 1.47736I
0.92157 − 6.25113I −5.54308 + 8.39226I
u = −0.74925 + 1.27490I
a = −1.51824 + 0.13674I
b = 0.59232 + 1.41717I
0.8696 − 21.2287I 0
u = −0.74925 − 1.27490I
a = −1.51824 − 0.13674I
b = 0.59232 − 1.41717I
0.8696 + 21.2287I 0
u = 0.92643 + 1.23491I
a = 0.832579 + 0.243343I
b = −0.233954 + 1.158840I
−1.14055 + 11.63660I 0
u = 0.92643 − 1.23491I
a = 0.832579 − 0.243343I
b = −0.233954 − 1.158840I
−1.14055 − 11.63660I 0
u = −0.93166 + 1.24849I
a = −0.647534 + 0.134353I
b = 0.190708 + 1.127450I
3.01132 − 4.99324I 0
u = −0.93166 − 1.24849I
a = −0.647534 − 0.134353I
b = 0.190708 − 1.127450I
3.01132 + 4.99324I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.14861 + 1.55848I
a = −0.940014 + 0.111541I
b = 0.944160 + 0.623775I
−6.48528 + 3.73784I 0
u = −0.14861 − 1.55848I
a = −0.940014 − 0.111541I
b = 0.944160 − 0.623775I
−6.48528 − 3.73784I 0
u = −0.83961 + 1.34375I
a = 1.344730 − 0.243353I
b = −0.59233 − 1.38147I
1.14317 − 11.82000I 0
u = −0.83961 − 1.34375I
a = 1.344730 + 0.243353I
b = −0.59233 + 1.38147I
1.14317 + 11.82000I 0
u = −0.70196 + 1.44092I
a = 0.880797 − 0.358496I
b = −1.277420 + 0.135052I
−2.95321 − 5.34008I 0
u = −0.70196 − 1.44092I
a = 0.880797 + 0.358496I
b = −1.277420 − 0.135052I
−2.95321 + 5.34008I 0
u = 1.23713 + 1.04145I
a = −0.121376 + 0.265207I
b = 0.57750 + 1.44345I
4.13978 − 2.41673I 0
u = 1.23713 − 1.04145I
a = −0.121376 − 0.265207I
b = 0.57750 − 1.44345I
4.13978 + 2.41673I 0
u = 0.20235 + 1.60745I
a = −0.720910 + 0.210760I
b = 0.601547 − 0.924626I
−5.39656 + 9.35262I 0
u = 0.20235 − 1.60745I
a = −0.720910 − 0.210760I
b = 0.601547 + 0.924626I
−5.39656 − 9.35262I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.005337 + 0.367901I
a = 1.35404 + 3.56782I
b = 0.004365 + 1.310150I
4.90673 − 1.88142I 4.63865 + 4.45543I
u = −0.005337 − 0.367901I
a = 1.35404 − 3.56782I
b = 0.004365 − 1.310150I
4.90673 + 1.88142I 4.63865 − 4.45543I
u = −0.08575 + 1.63203I
a = 0.227392 + 0.442174I
b = −0.197741 − 0.897607I
0.48220 − 4.54431I 0
u = −0.08575 − 1.63203I
a = 0.227392 − 0.442174I
b = −0.197741 + 0.897607I
0.48220 + 4.54431I 0
u = 1.10378 + 1.25858I
a = −0.407731 − 0.167740I
b = −0.052639 − 0.988975I
−0.38201 − 3.33060I 0
u = 1.10378 − 1.25858I
a = −0.407731 + 0.167740I
b = −0.052639 + 0.988975I
−0.38201 + 3.33060I 0
u = 0.197348
a = 1.86702
b = 0.561537
−1.04829 −8.95010
u = −1.68563 + 0.67836I
a = 0.129465 + 0.333325I
b = −0.73155 + 1.22155I
3.75142 + 3.40795I 0
u = −1.68563 − 0.67836I
a = 0.129465 − 0.333325I
b = −0.73155 − 1.22155I
3.75142 − 3.40795I 0
23
II.
I
u
2
= h−9.00×10
53
u
53
−7.39×10
53
u
52
+· · ·+4.95×10
51
b+7.83×10
53
, 8.76×
10
53
u
53
+3.67×10
53
u
52
+· · ·+4.95×10
51
a−2.11×10
54
, u
54
+u
53
+· · ·−3u+1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
−176.925u
53
− 74.1161u
52
+ ··· − 1471.44u + 425.939
181.910u
53
+ 149.266u
52
+ ··· + 952.845u − 158.119
a
5
=
340.882u
53
+ 542.188u
52
+ ··· + 594.246u + 140.424
−77.8357u
53
+ 6.46662u
52
+ ··· − 715.196u + 180.268
a
11
=
4.98511u
53
+ 75.1504u
52
+ ··· − 518.598u + 267.820
181.910u
53
+ 149.266u
52
+ ··· + 952.845u − 158.119
a
8
=
180.265u
53
+ 172.769u
52
+ ··· − 336.189u + 341.070
13.7958u
53
− 53.3612u
52
+ ··· + 727.708u − 239.928
a
4
=
−216.663u
53
− 384.677u
52
+ ··· + 275.906u − 381.801
−319.853u
53
− 183.119u
52
+ ··· − 2530.21u + 521.691
a
1
=
−39.1985u
53
+ 36.3596u
52
+ ··· − 84.7194u + 185.377
−61.6820u
53
− 193.852u
52
+ ··· + 1189.73u − 415.792
a
10
=
12.8076u
53
− 65.5447u
52
+ ··· + 934.875u − 361.239
−71.5435u
53
− 196.930u
52
+ ··· + 1021.45u − 438.735
a
9
=
−8.73417u
53
− 109.461u
52
+ ··· + 1080.41u − 430.945
−87.2386u
53
− 230.709u
52
+ ··· + 1121.40u − 486.066
(ii) Obstruction class = 1
(iii) Cusp Shapes = −316.344u
53
− 71.5666u
52
+ ··· − 1580.12u + 253.055
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
54
− 12u
53
+ ··· − 6u + 7
c
2
u
54
− u
53
+ ··· + 3u + 1
c
3
u
54
+ 24u
52
+ ··· + 2u + 1
c
4
u
54
+ u
53
+ ··· + 48u + 19
c
5
u
54
+ 2u
53
+ ··· + 60u + 7
c
6
u
54
+ u
53
+ ··· − 3u + 1
c
7
u
54
+ 18u
52
+ ··· − 6u + 13
c
8
u
54
+ 2u
53
+ ··· + 6u + 1
c
9
u
54
+ 24u
52
+ ··· − 2u + 1
c
10
u
54
+ 5u
52
+ ··· − 4u + 1
c
11
u
54
+ 18u
52
+ ··· + 6u + 13
c
12
u
54
+ 6u
53
+ ··· + 2u + 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
54
+ 10y
53
+ ··· − 316y + 49
c
2
, c
6
y
54
+ 27y
53
+ ··· + 53y + 1
c
3
, c
9
y
54
+ 48y
53
+ ··· + 36y + 1
c
4
y
54
+ 45y
53
+ ··· + 13314y + 361
c
5
y
54
+ 10y
53
+ ··· + 3204y + 49
c
7
, c
11
y
54
+ 36y
53
+ ··· + 302y + 169
c
8
y
54
+ 82y
52
+ ··· − 212y
2
+ 1
c
10
y
54
+ 10y
53
+ ··· + 20y + 1
c
12
y
54
− 18y
53
+ ··· + 30y + 1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.212066 + 0.984819I
a = −1.68777 − 0.41452I
b = 1.385430 + 0.275284I
−4.20305 + 0.80819I 0
u = 0.212066 − 0.984819I
a = −1.68777 + 0.41452I
b = 1.385430 − 0.275284I
−4.20305 − 0.80819I 0
u = 1.007590 + 0.070381I
a = −0.792452 + 0.592822I
b = −0.119217 + 1.054380I
5.87397 + 0.54493I 0
u = 1.007590 − 0.070381I
a = −0.792452 − 0.592822I
b = −0.119217 − 1.054380I
5.87397 − 0.54493I 0
u = −0.293771 + 0.921725I
a = 2.01760 − 1.39472I
b = −1.98361 + 0.15089I
−7.00534 − 1.22869I 0
u = −0.293771 − 0.921725I
a = 2.01760 + 1.39472I
b = −1.98361 − 0.15089I
−7.00534 + 1.22869I 0
u = 0.498860 + 0.821024I
a = −0.943462 − 0.234729I
b = 0.660803 − 0.050195I
−1.22644 + 2.10474I 0
u = 0.498860 − 0.821024I
a = −0.943462 + 0.234729I
b = 0.660803 + 0.050195I
−1.22644 − 2.10474I 0
u = −0.551411 + 0.760486I
a = 1.21793 − 1.28380I
b = −0.352612 − 0.075012I
−3.69019 − 5.62343I 0
u = −0.551411 − 0.760486I
a = 1.21793 + 1.28380I
b = −0.352612 + 0.075012I
−3.69019 + 5.62343I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.542604 + 0.912298I
a = −1.115780 − 0.741315I
b = 0.949536 − 0.158234I
−1.55978 + 2.24613I 0
u = 0.542604 − 0.912298I
a = −1.115780 + 0.741315I
b = 0.949536 + 0.158234I
−1.55978 − 2.24613I 0
u = 0.302942 + 1.071260I
a = −0.125029 + 0.766389I
b = 0.09806 + 1.44180I
3.65987 − 1.06638I 0
u = 0.302942 − 1.071260I
a = −0.125029 − 0.766389I
b = 0.09806 − 1.44180I
3.65987 + 1.06638I 0
u = −0.471165 + 1.021130I
a = 0.761175 − 0.346237I
b = −0.11579 − 1.47011I
0.14574 − 8.68346I 0
u = −0.471165 − 1.021130I
a = 0.761175 + 0.346237I
b = −0.11579 + 1.47011I
0.14574 + 8.68346I 0
u = 0.487038 + 1.054620I
a = −1.88197 + 0.20086I
b = 0.119064 − 1.147600I
2.95045 + 3.75396I 0
u = 0.487038 − 1.054620I
a = −1.88197 − 0.20086I
b = 0.119064 + 1.147600I
2.95045 − 3.75396I 0
u = 0.676864 + 0.953552I
a = −0.869444 − 0.678177I
b = 0.146080 − 1.190100I
3.07407 + 4.22048I 0
u = 0.676864 − 0.953552I
a = −0.869444 + 0.678177I
b = 0.146080 + 1.190100I
3.07407 − 4.22048I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.118636 + 0.771233I
a = −1.181710 + 0.340098I
b = −0.139294 + 0.306118I
0.26205 + 3.08041I 1.66312 − 6.66147I
u = 0.118636 − 0.771233I
a = −1.181710 − 0.340098I
b = −0.139294 − 0.306118I
0.26205 − 3.08041I 1.66312 + 6.66147I
u = 1.160580 + 0.422854I
a = −0.009721 + 0.182840I
b = 0.425927 + 1.203530I
3.26324 − 2.26013I 0
u = 1.160580 − 0.422854I
a = −0.009721 − 0.182840I
b = 0.425927 − 1.203530I
3.26324 + 2.26013I 0
u = −0.670303 + 1.091120I
a = 1.88708 − 0.19530I
b = −0.45643 − 1.43832I
2.18596 − 9.95277I 0
u = −0.670303 − 1.091120I
a = 1.88708 + 0.19530I
b = −0.45643 + 1.43832I
2.18596 + 9.95277I 0
u = −0.315721 + 1.260170I
a = −0.770951 + 0.479199I
b = 0.417440 + 0.025330I
−6.03806 + 1.53157I 0
u = −0.315721 − 1.260170I
a = −0.770951 − 0.479199I
b = 0.417440 − 0.025330I
−6.03806 − 1.53157I 0
u = 0.038767 + 0.689203I
a = 3.76355 + 1.09615I
b = −0.354949 − 1.000510I
3.47185 − 2.45755I −3.73289 + 4.72260I
u = 0.038767 − 0.689203I
a = 3.76355 − 1.09615I
b = −0.354949 + 1.000510I
3.47185 + 2.45755I −3.73289 − 4.72260I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.287248 + 0.620968I
a = 1.78099 + 2.15128I
b = −0.126688 + 1.259680I
4.96558 − 0.01952I 3.80289 − 1.66173I
u = 0.287248 − 0.620968I
a = 1.78099 − 2.15128I
b = −0.126688 − 1.259680I
4.96558 + 0.01952I 3.80289 + 1.66173I
u = 0.503087 + 1.238850I
a = −1.352320 + 0.308790I
b = 0.63958 − 1.35469I
−0.45892 + 7.70695I 0
u = 0.503087 − 1.238850I
a = −1.352320 − 0.308790I
b = 0.63958 + 1.35469I
−0.45892 − 7.70695I 0
u = −0.408674 + 1.285060I
a = −0.278047 − 0.551464I
b = −0.224800 + 1.024060I
0.12541 + 3.99272I 0
u = −0.408674 − 1.285060I
a = −0.278047 + 0.551464I
b = −0.224800 − 1.024060I
0.12541 − 3.99272I 0
u = 0.349442 + 1.303570I
a = 0.336508 − 0.686652I
b = −0.161274 + 0.773277I
0.72622 + 4.04359I 0
u = 0.349442 − 1.303570I
a = 0.336508 + 0.686652I
b = −0.161274 − 0.773277I
0.72622 − 4.04359I 0
u = −0.597839 + 1.265310I
a = 1.078000 − 0.392131I
b = −1.060660 − 0.089594I
−3.05365 − 4.69754I 0
u = −0.597839 − 1.265310I
a = 1.078000 + 0.392131I
b = −1.060660 + 0.089594I
−3.05365 + 4.69754I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.036261 + 0.568924I
a = 0.176591 − 0.753124I
b = 0.20108 + 1.57931I
3.19607 − 4.96057I −2.73077 − 7.57221I
u = 0.036261 − 0.568924I
a = 0.176591 + 0.753124I
b = 0.20108 − 1.57931I
3.19607 + 4.96057I −2.73077 + 7.57221I
u = −0.63690 + 1.29979I
a = −0.998868 − 0.262555I
b = 0.293653 + 0.793681I
−3.17975 − 10.34600I 0
u = −0.63690 − 1.29979I
a = −0.998868 + 0.262555I
b = 0.293653 − 0.793681I
−3.17975 + 10.34600I 0
u = −0.090395 + 0.510174I
a = −4.76565 − 0.68322I
b = 0.335970 + 1.280550I
2.86684 + 4.53888I −5.01467 − 4.86881I
u = −0.090395 − 0.510174I
a = −4.76565 + 0.68322I
b = 0.335970 − 1.280550I
2.86684 − 4.53888I −5.01467 + 4.86881I
u = 0.123695 + 0.469922I
a = −5.74643 − 3.00751I
b = 0.282603 − 1.113330I
2.63150 + 7.66725I −2.26546 − 12.29980I
u = 0.123695 − 0.469922I
a = −5.74643 + 3.00751I
b = 0.282603 + 1.113330I
2.63150 − 7.66725I −2.26546 + 12.29980I
u = −0.091348 + 0.405350I
a = −0.34785 + 2.01372I
b = −0.17850 + 1.43806I
6.12098 + 4.84972I 11.86436 − 6.55135I
u = −0.091348 − 0.405350I
a = −0.34785 − 2.01372I
b = −0.17850 − 1.43806I
6.12098 − 4.84972I 11.86436 + 6.55135I
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.47915 + 0.76556I
a = 0.113879 + 0.349278I
b = −0.61780 + 1.32696I
3.88191 + 3.09943I 0
u = −1.47915 − 0.76556I
a = 0.113879 − 0.349278I
b = −0.61780 − 1.32696I
3.88191 − 3.09943I 0
u = −1.23900 + 1.13740I
a = 0.234143 − 0.231464I
b = −0.063598 − 0.850962I
−0.89227 + 2.76929I 0
u = −1.23900 − 1.13740I
a = 0.234143 + 0.231464I
b = −0.063598 + 0.850962I
−0.89227 − 2.76929I 0
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
54
− 12u
53
+ ··· − 6u + 7)(u
189
− 3u
188
+ ··· + 477364u − 16517)
c
2
(u
54
− u
53
+ ··· + 3u + 1)(u
189
− 2u
188
+ ··· + 118941u + 58405)
c
3
(u
54
+ 24u
52
+ ··· + 2u + 1)(u
189
+ u
188
+ ··· + 1777914u + 1267391)
c
4
(u
54
+ u
53
+ ··· + 48u + 19)
· (u
189
+ 4u
188
+ ··· − 64079539000u + 4971467125)
c
5
(u
54
+ 2u
53
+ ··· + 60u + 7)(u
189
+ u
188
+ ··· + 6444964u + 558157)
c
6
(u
54
+ u
53
+ ··· − 3u + 1)(u
189
− 2u
188
+ ··· + 118941u + 58405)
c
7
(u
54
+ 18u
52
+ ··· − 6u + 13)(u
189
+ 5u
188
+ ··· − 572070u + 16507)
c
8
(u
54
+ 2u
53
+ ··· + 6u + 1)(u
189
+ 3u
188
+ ··· − 14u + 1)
c
9
(u
54
+ 24u
52
+ ··· − 2u + 1)(u
189
+ u
188
+ ··· + 1777914u + 1267391)
c
10
(u
54
+ 5u
52
+ ··· − 4u + 1)(u
189
+ u
188
+ ··· + 5.08979 × 10
7
u + 7370057)
c
11
(u
54
+ 18u
52
+ ··· + 6u + 13)(u
189
+ 5u
188
+ ··· − 572070u + 16507)
c
12
(u
54
+ 6u
53
+ ··· + 2u + 1)
· (u
189
− 15u
188
+ ··· − 30374880u + 1807073)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
54
+ 10y
53
+ ··· − 316y + 49)
· (y
189
+ y
188
+ ··· + 49971649360y −272811289)
c
2
, c
6
(y
54
+ 27y
53
+ ··· + 53y + 1)
· (y
189
+ 94y
188
+ ··· − 130612517649y −3411144025)
c
3
, c
9
(y
54
+ 48y
53
+ ··· + 36y + 1)
· (y
189
+ 135y
188
+ ··· − 81751009774592y −1606279946881)
c
4
(y
54
+ 45y
53
+ ··· + 13314y + 361)
· (y
189
+ 104y
188
+ ··· − 1.76 × 10
21
y −2.47 × 10
19
)
c
5
(y
54
+ 10y
53
+ ··· + 3204y + 49)
· (y
189
+ 25y
188
+ ··· − 24262094234224y −311539236649)
c
7
, c
11
(y
54
+ 36y
53
+ ··· + 302y + 169)
· (y
189
+ 127y
188
+ ··· + 48428270082y −272481049)
c
8
(y
54
+ 82y
52
+ ··· − 212y
2
+ 1)(y
189
− 5y
188
+ ··· + 44y −1)
c
10
(y
54
+ 10y
53
+ ··· + 20y + 1)
· (y
189
+ 53y
188
+ ··· − 329523948949056y −54317740183249)
c
12
(y
54
− 18y
53
+ ··· + 30y + 1)
· (y
189
+ 5y
188
+ ··· − 213376445564522y −3265512827329)
36
