12a
0961
(K12a
0961
)
A knot diagram
1
Linearized knot diagam
4 6 10 11 8 3 12 5 1 2 9 7
Solving Sequence
5,8
6
9,12
7 1 11 4 2 3 10
c
5
c
8
c
7
c
12
c
11
c
4
c
1
c
2
c
10
c
3
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.64373 × 10
1346
u
188
− 4.72952 × 10
1346
u
187
+ ··· + 1.82447 × 10
1347
b − 4.68882 × 10
1347
,
4.30137 × 10
1350
u
188
− 1.12458 × 10
1351
u
187
+ ··· + 4.29740 × 10
1351
a + 1.84917 × 10
1355
,
u
189
− 3u
188
+ ··· − 829201u + 94217i
I
u
2
= h6.01544 × 10
80
u
50
+ 4.68574 × 10
81
u
49
+ ··· + 2.58939 × 10
81
b − 1.94635 × 10
81
,
− 1.83690 × 10
80
u
50
− 2.22203 × 10
81
u
49
+ ··· + 7.12083 × 10
81
a − 2.81314 × 10
82
, u
51
+ 8u
50
+ ··· − 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 240 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
= h1.64 × 10
1346
u
188
− 4.73 × 10
1346
u
187
+ · · · + 1.82 × 10
1347
b − 4.69 ×
10
1347
, 4.30 × 10
1350
u
188
− 1.12 × 10
1351
u
187
+ · · · + 4.30 × 10
1351
a + 1.85 ×
10
1355
, u
189
− 3u
188
+ · · · − 829201u + 94217i
(i) Arc colorings
a
5
=
1
0
a
8
=
0
u
a
6
=
1
−u
2
a
9
=
u
u
a
12
=
−0.100092u
188
+ 0.261689u
187
+ ··· + 23563.9u − 4303.00
−0.0900934u
188
+ 0.259228u
187
+ ··· − 13005.5u + 2.56997
a
7
=
−0.0593610u
188
+ 0.186224u
187
+ ··· − 18020.1u + 1064.13
−0.0376884u
188
+ 0.100062u
187
+ ··· + 18573.7u − 2940.42
a
1
=
0.245622u
188
− 0.680258u
187
+ ··· + 16419.8u + 1748.61
0.203510u
188
− 0.550514u
187
+ ··· + 1098.87u + 2932.52
a
11
=
−0.110635u
188
+ 0.276420u
187
+ ··· + 45454.3u − 6897.31
−0.100636u
188
+ 0.273958u
187
+ ··· + 8884.88u − 2591.75
a
4
=
−0.0238419u
188
+ 0.144100u
187
+ ··· − 101667.u + 11364.6
−0.0134360u
188
+ 0.0914865u
187
+ ··· − 76593.3u + 8566.77
a
2
=
0.0114209u
188
+ 0.142231u
187
+ ··· − 180966.u + 21035.3
−0.0292937u
188
+ 0.210185u
187
+ ··· − 140476.u + 15792.6
a
3
=
−0.00807546u
188
+ 0.184150u
187
+ ··· − 176170.u + 20199.2
−0.0387995u
188
+ 0.219960u
187
+ ··· − 128573.u + 14231.5
a
10
=
0.209824u
188
− 0.701328u
187
+ ··· + 141674.u − 13437.5
0.162003u
188
− 0.577950u
187
+ ··· + 152208.u − 15269.2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.149815u
188
+ 0.540340u
187
+ ··· − 154988.u + 16041.2
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
189
− 19u
188
+ ··· + 26u + 1
c
2
, c
6
8(8u
189
+ 40u
188
+ ··· − 30029u − 2617)
c
3
8(8u
189
− 48u
188
+ ··· − 42u − 1)
c
4
u
189
− 8u
188
+ ··· − 12981419408u + 1387228888
c
5
, c
8
u
189
+ 3u
188
+ ··· − 829201u − 94217
c
7
, c
12
u
189
+ 63u
187
+ ··· − 2533599u − 3861113
c
9
u
189
− 3u
188
+ ··· − 223100552u + 9191768
c
10
8(8u
189
− 88u
188
+ ··· − 28473u + 4057)
c
11
64(64u
189
+ 1376u
188
+ ··· + 45382u + 131644)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
189
− 11y
188
+ ··· + 578y −1
c
2
, c
6
64(64y
189
− 6880y
188
+ ··· + 5.58003 × 10
8
y −6848689)
c
3
64(64y
189
− 1440y
188
+ ··· + 644y −1)
c
4
y
189
− 130y
188
+ ··· + 2.36 × 10
20
y −1.92 × 10
18
c
5
, c
8
y
189
+ 107y
188
+ ··· + 768802165913y −8876843089
c
7
, c
12
y
189
+ 126y
188
+ ··· + 543664726773415y −14908193598769
c
9
y
189
− 9y
188
+ ··· + 47247815469161696y −84488598965824
c
10
64(64y
189
+ 2848y
188
+ ··· + 2.37867 × 10
9
y −1.64592 × 10
7
)
c
11
4096
· (4096y
189
− 186880y
188
+ ··· − 2242263992996y −17330142736)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.302185 + 0.941615I
a = 1.44794 − 0.09117I
b = 0.341379 − 0.601466I
−0.09062 + 2.79137I 0
u = 0.302185 − 0.941615I
a = 1.44794 + 0.09117I
b = 0.341379 + 0.601466I
−0.09062 − 2.79137I 0
u = −0.184614 + 0.968938I
a = −0.062986 + 0.948580I
b = −0.182389 + 0.952850I
−1.76476 − 2.09273I 0
u = −0.184614 − 0.968938I
a = −0.062986 − 0.948580I
b = −0.182389 − 0.952850I
−1.76476 + 2.09273I 0
u = 0.238454 + 0.986593I
a = −1.36183 − 1.22193I
b = −1.19924 − 1.89711I
1.36221 + 6.30525I 0
u = 0.238454 − 0.986593I
a = −1.36183 + 1.22193I
b = −1.19924 + 1.89711I
1.36221 − 6.30525I 0
u = −0.388792 + 0.903546I
a = −0.739292 + 0.718682I
b = −0.462394 + 1.177740I
0.29461 − 2.11052I 0
u = −0.388792 − 0.903546I
a = −0.739292 − 0.718682I
b = −0.462394 − 1.177740I
0.29461 + 2.11052I 0
u = 0.789295 + 0.647767I
a = −1.249770 − 0.609176I
b = −0.116359 + 0.193310I
4.89138 − 7.18850I 0
u = 0.789295 − 0.647767I
a = −1.249770 + 0.609176I
b = −0.116359 − 0.193310I
4.89138 + 7.18850I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.154418 + 1.013200I
a = −2.17319 − 0.19200I
b = −1.393100 − 0.120566I
2.40358 + 6.16172I 0
u = 0.154418 − 1.013200I
a = −2.17319 + 0.19200I
b = −1.393100 + 0.120566I
2.40358 − 6.16172I 0
u = 0.118516 + 1.019840I
a = −0.933782 − 0.187678I
b = 0.15049 − 3.39698I
−1.383150 + 0.246972I 0
u = 0.118516 − 1.019840I
a = −0.933782 + 0.187678I
b = 0.15049 + 3.39698I
−1.383150 − 0.246972I 0
u = −0.094084 + 0.965485I
a = 1.40613 − 0.42438I
b = 0.76362 − 1.58481I
−3.17295 − 0.41869I 0
u = −0.094084 − 0.965485I
a = 1.40613 + 0.42438I
b = 0.76362 + 1.58481I
−3.17295 + 0.41869I 0
u = −0.874835 + 0.409818I
a = −0.333605 + 1.079770I
b = −0.337100 + 0.239016I
1.57370 − 2.49525I 0
u = −0.874835 − 0.409818I
a = −0.333605 − 1.079770I
b = −0.337100 − 0.239016I
1.57370 + 2.49525I 0
u = 0.881123 + 0.541093I
a = −0.609431 − 0.537282I
b = 0.37361 − 1.38028I
0.235388 − 0.920140I 0
u = 0.881123 − 0.541093I
a = −0.609431 + 0.537282I
b = 0.37361 + 1.38028I
0.235388 + 0.920140I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.759233 + 0.591351I
a = −0.257806 + 0.834668I
b = −0.063824 − 0.132232I
1.55190 − 3.58660I 0
u = −0.759233 − 0.591351I
a = −0.257806 − 0.834668I
b = −0.063824 + 0.132232I
1.55190 + 3.58660I 0
u = −0.930774 + 0.221334I
a = −0.878987 + 0.012739I
b = 0.057270 + 0.687155I
−0.08253 − 9.63844I 0
u = −0.930774 − 0.221334I
a = −0.878987 − 0.012739I
b = 0.057270 − 0.687155I
−0.08253 + 9.63844I 0
u = 0.177954 + 1.033070I
a = 1.36761 + 1.04014I
b = 1.41236 + 1.41620I
−0.97321 + 5.40969I 0
u = 0.177954 − 1.033070I
a = 1.36761 − 1.04014I
b = 1.41236 − 1.41620I
−0.97321 − 5.40969I 0
u = 0.803009 + 0.502392I
a = 1.01767 + 1.12052I
b = −0.349416 + 0.780006I
6.96270 − 4.04046I 0
u = 0.803009 − 0.502392I
a = 1.01767 − 1.12052I
b = −0.349416 − 0.780006I
6.96270 + 4.04046I 0
u = 0.191480 + 1.040440I
a = 1.100990 + 0.485709I
b = −1.15806 + 1.60514I
0.42256 + 10.66500I 0
u = 0.191480 − 1.040440I
a = 1.100990 − 0.485709I
b = −1.15806 − 1.60514I
0.42256 − 10.66500I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.056510 + 0.096744I
a = −0.473011 + 1.110440I
b = 0.358299 + 0.382525I
0.17281 + 8.58975I 0
u = −1.056510 − 0.096744I
a = −0.473011 − 1.110440I
b = 0.358299 − 0.382525I
0.17281 − 8.58975I 0
u = 0.913851 + 0.542378I
a = 0.782153 + 1.020280I
b = −0.144807 + 0.395322I
8.87588 + 2.47166I 0
u = 0.913851 − 0.542378I
a = 0.782153 − 1.020280I
b = −0.144807 − 0.395322I
8.87588 − 2.47166I 0
u = 0.168260 + 0.915369I
a = −1.70263 − 0.07144I
b = 0.0360904 − 0.0175434I
4.52695 − 0.46675I 0
u = 0.168260 − 0.915369I
a = −1.70263 + 0.07144I
b = 0.0360904 + 0.0175434I
4.52695 + 0.46675I 0
u = −1.073690 + 0.056011I
a = −0.207456 + 0.878649I
b = −0.330338 + 0.223615I
2.87036 − 1.08562I 0
u = −1.073690 − 0.056011I
a = −0.207456 − 0.878649I
b = −0.330338 − 0.223615I
2.87036 + 1.08562I 0
u = 0.200913 + 0.898818I
a = −1.221000 − 0.701161I
b = −1.77840 − 1.44604I
4.50516 + 2.15992I 0
u = 0.200913 − 0.898818I
a = −1.221000 + 0.701161I
b = −1.77840 + 1.44604I
4.50516 − 2.15992I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.487042 + 0.780551I
a = 0.399955 + 1.239370I
b = −0.17558 + 1.62939I
1.50878 + 1.09200I 0
u = −0.487042 − 0.780551I
a = 0.399955 − 1.239370I
b = −0.17558 − 1.62939I
1.50878 − 1.09200I 0
u = −0.731014 + 0.547817I
a = −0.543133 + 0.071995I
b = −0.474374 + 0.540760I
1.82464 − 1.68741I 0
u = −0.731014 − 0.547817I
a = −0.543133 − 0.071995I
b = −0.474374 − 0.540760I
1.82464 + 1.68741I 0
u = 0.924576 + 0.574980I
a = 0.744523 + 0.898049I
b = 0.628684 + 0.389732I
4.70628 − 1.19798I 0
u = 0.924576 − 0.574980I
a = 0.744523 − 0.898049I
b = 0.628684 − 0.389732I
4.70628 + 1.19798I 0
u = −0.891457 + 0.148535I
a = 0.580604 + 0.493113I
b = −0.454023 + 0.757635I
−0.463168 + 1.211940I 0
u = −0.891457 − 0.148535I
a = 0.580604 − 0.493113I
b = −0.454023 − 0.757635I
−0.463168 − 1.211940I 0
u = −0.901170
a = −0.935711
b = −0.294434
1.63913 0
u = 1.006520 + 0.441039I
a = −0.247645 − 1.046270I
b = 0.456261 − 0.622717I
4.09869 + 3.81099I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.006520 − 0.441039I
a = −0.247645 + 1.046270I
b = 0.456261 + 0.622717I
4.09869 − 3.81099I 0
u = 0.579844 + 0.942939I
a = 0.886702 + 0.968238I
b = 0.442229 + 1.127790I
3.60910 + 6.84498I 0
u = 0.579844 − 0.942939I
a = 0.886702 − 0.968238I
b = 0.442229 − 1.127790I
3.60910 − 6.84498I 0
u = −0.482471 + 1.003660I
a = 0.619261 − 0.531446I
b = −0.08070 − 2.06511I
−5.04312 − 1.94785I 0
u = −0.482471 − 1.003660I
a = 0.619261 + 0.531446I
b = −0.08070 + 2.06511I
−5.04312 + 1.94785I 0
u = 0.560855 + 0.983229I
a = −0.616276 − 1.187400I
b = −1.11772 − 1.92869I
3.77823 + 12.28690I 0
u = 0.560855 − 0.983229I
a = −0.616276 + 1.187400I
b = −1.11772 + 1.92869I
3.77823 − 12.28690I 0
u = 0.022067 + 0.866135I
a = −1.050640 − 0.416143I
b = −0.18879 − 2.69433I
−0.641608 + 0.691602I 0
u = 0.022067 − 0.866135I
a = −1.050640 + 0.416143I
b = −0.18879 + 2.69433I
−0.641608 − 0.691602I 0
u = 0.035931 + 0.862631I
a = 2.21764 − 0.19975I
b = 1.113770 − 0.086237I
−0.00099 − 4.39233I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.035931 − 0.862631I
a = 2.21764 + 0.19975I
b = 1.113770 + 0.086237I
−0.00099 + 4.39233I 0
u = −0.102785 + 1.144160I
a = −0.775958 + 0.052748I
b = −3.32433 + 0.40427I
−1.79707 + 0.38567I 0
u = −0.102785 − 1.144160I
a = −0.775958 − 0.052748I
b = −3.32433 − 0.40427I
−1.79707 − 0.38567I 0
u = 0.385326 + 0.754040I
a = 1.045380 + 0.255312I
b = 1.04475 + 1.21419I
3.18993 − 2.76903I 0
u = 0.385326 − 0.754040I
a = 1.045380 − 0.255312I
b = 1.04475 − 1.21419I
3.18993 + 2.76903I 0
u = −0.069693 + 0.833623I
a = 0.699566 − 1.053130I
b = 0.16090 − 1.68297I
−1.34654 + 1.59129I 0
u = −0.069693 − 0.833623I
a = 0.699566 + 1.053130I
b = 0.16090 + 1.68297I
−1.34654 − 1.59129I 0
u = −0.795730 + 0.217676I
a = 0.713575 − 1.214360I
b = 0.061744 + 0.131547I
3.03282 + 2.97111I 0
u = −0.795730 − 0.217676I
a = 0.713575 + 1.214360I
b = 0.061744 − 0.131547I
3.03282 − 2.97111I 0
u = −0.394696 + 1.107600I
a = 0.709623 − 0.841396I
b = 1.22655 − 1.53567I
0.15037 − 7.26078I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.394696 − 1.107600I
a = 0.709623 + 0.841396I
b = 1.22655 + 1.53567I
0.15037 + 7.26078I 0
u = 0.513449 + 1.071280I
a = 0.915539 + 0.676043I
b = 0.88218 + 2.25245I
5.12998 + 8.96279I 0
u = 0.513449 − 1.071280I
a = 0.915539 − 0.676043I
b = 0.88218 − 2.25245I
5.12998 − 8.96279I 0
u = 0.170471 + 0.783423I
a = 1.68024 + 0.67391I
b = −0.245179 + 0.491044I
3.52960 + 5.75600I 0
u = 0.170471 − 0.783423I
a = 1.68024 − 0.67391I
b = −0.245179 − 0.491044I
3.52960 − 5.75600I 0
u = −1.197230 + 0.079673I
a = 0.248857 + 0.737458I
b = −0.335494 + 0.116374I
0.56476 − 1.90984I 0
u = −1.197230 − 0.079673I
a = 0.248857 − 0.737458I
b = −0.335494 − 0.116374I
0.56476 + 1.90984I 0
u = 0.103845 + 0.789028I
a = −2.01042 − 1.15478I
b = −1.76984 − 1.18060I
3.19463 − 4.79243I 0
u = 0.103845 − 0.789028I
a = −2.01042 + 1.15478I
b = −1.76984 + 1.18060I
3.19463 + 4.79243I 0
u = −1.132320 + 0.412202I
a = −0.812685 + 0.444109I
b = −0.272367 + 0.501661I
1.81494 − 1.26334I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.132320 − 0.412202I
a = −0.812685 − 0.444109I
b = −0.272367 − 0.501661I
1.81494 + 1.26334I 0
u = 1.156780 + 0.363769I
a = −0.621503 − 0.759093I
b = 0.371114 − 0.275473I
1.81067 − 5.30644I 0
u = 1.156780 − 0.363769I
a = −0.621503 + 0.759093I
b = 0.371114 + 0.275473I
1.81067 + 5.30644I 0
u = 0.569567 + 1.074000I
a = 0.803937 + 0.712925I
b = 1.13088 + 1.72392I
7.08152 + 2.90944I 0
u = 0.569567 − 1.074000I
a = 0.803937 − 0.712925I
b = 1.13088 − 1.72392I
7.08152 − 2.90944I 0
u = −0.379940 + 1.170140I
a = 0.945293 + 0.389848I
b = 0.598056 + 0.860529I
−3.67982 − 3.89796I 0
u = −0.379940 − 1.170140I
a = 0.945293 − 0.389848I
b = 0.598056 − 0.860529I
−3.67982 + 3.89796I 0
u = 0.098294 + 1.240660I
a = 0.657942 − 0.574919I
b = −0.07475 − 1.76086I
−5.33812 + 1.75202I 0
u = 0.098294 − 1.240660I
a = 0.657942 + 0.574919I
b = −0.07475 + 1.76086I
−5.33812 − 1.75202I 0
u = 1.212440 + 0.300637I
a = 0.662178 + 0.790279I
b = −0.015745 + 0.520286I
3.62343 − 6.39464I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.212440 − 0.300637I
a = 0.662178 − 0.790279I
b = −0.015745 − 0.520286I
3.62343 + 6.39464I 0
u = 0.239761 + 1.228390I
a = 0.669732 − 0.554574I
b = 0.06639 − 1.69833I
−5.31037 + 1.93476I 0
u = 0.239761 − 1.228390I
a = 0.669732 + 0.554574I
b = 0.06639 + 1.69833I
−5.31037 − 1.93476I 0
u = 0.364690 + 1.198740I
a = −0.145919 + 0.621985I
b = −0.20537 + 1.64565I
−7.15003 − 0.62766I 0
u = 0.364690 − 1.198740I
a = −0.145919 − 0.621985I
b = −0.20537 − 1.64565I
−7.15003 + 0.62766I 0
u = 0.114822 + 0.733358I
a = 1.112030 − 0.102643I
b = 1.49711 + 2.16689I
1.56632 − 9.09119I 0
u = 0.114822 − 0.733358I
a = 1.112030 + 0.102643I
b = 1.49711 − 2.16689I
1.56632 + 9.09119I 0
u = 0.123173 + 1.265770I
a = 0.470477 − 0.889521I
b = −0.12389 − 1.93008I
−5.70581 + 0.90862I 0
u = 0.123173 − 1.265770I
a = 0.470477 + 0.889521I
b = −0.12389 + 1.93008I
−5.70581 − 0.90862I 0
u = 0.728192 + 0.001528I
a = 1.006100 − 0.056545I
b = −0.323256 + 0.281242I
−3.59032 + 4.55414I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.728192 − 0.001528I
a = 1.006100 + 0.056545I
b = −0.323256 − 0.281242I
−3.59032 − 4.55414I 0
u = 0.710205 + 0.157896I
a = −0.09920 + 1.93677I
b = 0.083641 + 0.428114I
4.17751 + 6.14106I 0
u = 0.710205 − 0.157896I
a = −0.09920 − 1.93677I
b = 0.083641 − 0.428114I
4.17751 − 6.14106I 0
u = −0.726102
a = −0.753906
b = −0.399930
1.69953 0
u = 0.391925 + 1.216160I
a = −0.355906 + 0.733853I
b = −0.01664 + 1.82776I
−7.21988 + 8.60488I 0
u = 0.391925 − 1.216160I
a = −0.355906 − 0.733853I
b = −0.01664 − 1.82776I
−7.21988 − 8.60488I 0
u = 0.165090 + 1.271150I
a = 0.178893 − 0.466631I
b = −0.613147 − 1.073090I
−3.41483 + 2.54212I 0
u = 0.165090 − 1.271150I
a = 0.178893 + 0.466631I
b = −0.613147 + 1.073090I
−3.41483 − 2.54212I 0
u = −0.261099 + 1.257460I
a = −0.071361 − 0.999381I
b = 0.27542 − 1.97869I
−5.35664 − 4.41607I 0
u = −0.261099 − 1.257460I
a = −0.071361 + 0.999381I
b = 0.27542 + 1.97869I
−5.35664 + 4.41607I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.581564 + 0.396859I
a = −1.47253 + 0.17822I
b = −0.499198 − 0.641945I
2.43941 − 5.18933I 0
u = −0.581564 − 0.396859I
a = −1.47253 − 0.17822I
b = −0.499198 + 0.641945I
2.43941 + 5.18933I 0
u = 1.282300 + 0.191241I
a = 0.555793 + 0.873232I
b = −0.206436 + 0.375940I
3.0101 − 14.7616I 0
u = 1.282300 − 0.191241I
a = 0.555793 − 0.873232I
b = −0.206436 − 0.375940I
3.0101 + 14.7616I 0
u = −0.305998 + 1.274210I
a = −0.668860 + 0.855129I
b = −0.67075 + 1.35331I
−1.21720 − 3.76313I 0
u = −0.305998 − 1.274210I
a = −0.668860 − 0.855129I
b = −0.67075 − 1.35331I
−1.21720 + 3.76313I 0
u = 0.182123 + 0.662267I
a = −2.11620 − 0.06156I
b = −0.725846 − 0.554454I
2.41932 − 4.14017I 0
u = 0.182123 − 0.662267I
a = −2.11620 + 0.06156I
b = −0.725846 + 0.554454I
2.41932 + 4.14017I 0
u = −0.343385 + 1.267500I
a = 0.449562 − 0.635537I
b = 0.36779 − 1.71461I
−4.98048 − 3.00133I 0
u = −0.343385 − 1.267500I
a = 0.449562 + 0.635537I
b = 0.36779 + 1.71461I
−4.98048 + 3.00133I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.162736 + 1.305850I
a = 0.582925 − 0.296577I
b = 0.620161 − 1.035820I
−4.87536 − 1.32805I 0
u = 0.162736 − 1.305850I
a = 0.582925 + 0.296577I
b = 0.620161 + 1.035820I
−4.87536 + 1.32805I 0
u = 0.157959 + 1.314960I
a = −0.526791 + 0.677267I
b = −0.224088 + 1.141610I
−3.12570 − 2.03833I 0
u = 0.157959 − 1.314960I
a = −0.526791 − 0.677267I
b = −0.224088 − 1.141610I
−3.12570 + 2.03833I 0
u = 0.817842 + 1.063330I
a = 0.372938 + 0.505741I
b = 0.07369 + 1.44437I
−4.76375 + 7.55069I 0
u = 0.817842 − 1.063330I
a = 0.372938 − 0.505741I
b = 0.07369 − 1.44437I
−4.76375 − 7.55069I 0
u = −0.515462 + 1.238620I
a = −0.515546 − 0.483471I
b = −0.11792 − 1.46871I
−3.80448 − 6.34948I 0
u = −0.515462 − 1.238620I
a = −0.515546 + 0.483471I
b = −0.11792 + 1.46871I
−3.80448 + 6.34948I 0
u = −0.331023 + 1.312410I
a = 0.364920 + 1.155180I
b = 0.16729 + 1.82521I
−3.77910 − 5.35248I 0
u = −0.331023 − 1.312410I
a = 0.364920 − 1.155180I
b = 0.16729 − 1.82521I
−3.77910 + 5.35248I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.660442 + 1.200050I
a = −0.633201 − 0.285900I
b = −0.81310 − 1.32969I
1.54134 + 2.27318I 0
u = 0.660442 − 1.200050I
a = −0.633201 + 0.285900I
b = −0.81310 + 1.32969I
1.54134 − 2.27318I 0
u = −0.429712 + 1.316320I
a = 0.417313 + 0.935120I
b = 0.02078 + 1.85189I
−4.6969 − 14.3057I 0
u = −0.429712 − 1.316320I
a = 0.417313 − 0.935120I
b = 0.02078 − 1.85189I
−4.6969 + 14.3057I 0
u = 0.330055 + 0.514648I
a = 0.22353 + 1.53993I
b = 1.01615 + 1.54461I
1.063720 + 0.185176I 0
u = 0.330055 − 0.514648I
a = 0.22353 − 1.53993I
b = 1.01615 − 1.54461I
1.063720 − 0.185176I 0
u = −0.554061 + 1.282400I
a = −0.215120 + 1.009500I
b = −0.22617 + 1.78190I
−2.05195 − 5.30605I 0
u = −0.554061 − 1.282400I
a = −0.215120 − 1.009500I
b = −0.22617 − 1.78190I
−2.05195 + 5.30605I 0
u = 0.72592 + 1.21684I
a = −0.563265 − 0.610146I
b = −0.05724 − 1.66148I
−1.76334 + 7.15842I 0
u = 0.72592 − 1.21684I
a = −0.563265 + 0.610146I
b = −0.05724 + 1.66148I
−1.76334 − 7.15842I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.84092 + 1.14472I
a = 0.423491 + 0.478063I
b = −0.035749 + 1.226750I
−4.90093 − 0.85518I 0
u = 0.84092 − 1.14472I
a = 0.423491 − 0.478063I
b = −0.035749 − 1.226750I
−4.90093 + 0.85518I 0
u = −0.56239 + 1.30882I
a = −0.682298 + 0.727495I
b = −1.04298 + 2.01635I
−3.5889 − 14.3400I 0
u = −0.56239 − 1.30882I
a = −0.682298 − 0.727495I
b = −1.04298 − 2.01635I
−3.5889 + 14.3400I 0
u = −0.61180 + 1.29069I
a = −0.638462 + 0.907862I
b = −0.59757 + 1.77549I
−1.32613 − 5.10603I 0
u = −0.61180 − 1.29069I
a = −0.638462 − 0.907862I
b = −0.59757 − 1.77549I
−1.32613 + 5.10603I 0
u = 0.66809 + 1.28810I
a = −0.550258 − 0.743080I
b = −0.91032 − 1.99432I
−1.19851 + 11.81770I 0
u = 0.66809 − 1.28810I
a = −0.550258 + 0.743080I
b = −0.91032 + 1.99432I
−1.19851 − 11.81770I 0
u = 0.47788 + 1.37119I
a = −0.788762 − 0.708886I
b = −1.21422 − 1.79097I
−0.54836 + 10.86090I 0
u = 0.47788 − 1.37119I
a = −0.788762 + 0.708886I
b = −1.21422 + 1.79097I
−0.54836 − 10.86090I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.63985 + 1.31213I
a = 0.656538 + 0.853117I
b = 0.76014 + 1.87720I
0.28016 + 12.90200I 0
u = 0.63985 − 1.31213I
a = 0.656538 − 0.853117I
b = 0.76014 − 1.87720I
0.28016 − 12.90200I 0
u = −0.39783 + 1.41738I
a = 0.439405 − 0.674630I
b = 1.07385 − 1.67454I
−4.44522 − 7.63993I 0
u = −0.39783 − 1.41738I
a = 0.439405 + 0.674630I
b = 1.07385 + 1.67454I
−4.44522 + 7.63993I 0
u = −0.43907 + 1.41751I
a = 0.466147 − 0.661765I
b = 1.05650 − 1.70631I
−4.45077 − 7.62634I 0
u = −0.43907 − 1.41751I
a = 0.466147 + 0.661765I
b = 1.05650 + 1.70631I
−4.45077 + 7.62634I 0
u = −0.32095 + 1.45027I
a = 0.573482 − 0.495080I
b = 1.22232 − 1.50345I
−4.50596 − 6.92044I 0
u = −0.32095 − 1.45027I
a = 0.573482 + 0.495080I
b = 1.22232 + 1.50345I
−4.50596 + 6.92044I 0
u = −0.29616 + 1.45957I
a = 0.0650384 + 0.0540654I
b = 0.899981 − 0.124501I
−3.28889 − 8.20373I 0
u = −0.29616 − 1.45957I
a = 0.0650384 − 0.0540654I
b = 0.899981 + 0.124501I
−3.28889 + 8.20373I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.58059 + 1.37451I
a = 0.448875 − 0.434991I
b = 0.84531 − 1.26941I
−1.56248 − 7.03783I 0
u = −0.58059 − 1.37451I
a = 0.448875 + 0.434991I
b = 0.84531 + 1.26941I
−1.56248 + 7.03783I 0
u = −0.50997 + 1.40353I
a = −0.380898 − 0.097157I
b = −0.392543 − 0.656583I
−3.91190 − 4.24395I 0
u = −0.50997 − 1.40353I
a = −0.380898 + 0.097157I
b = −0.392543 + 0.656583I
−3.91190 + 4.24395I 0
u = 0.64860 + 1.35638I
a = 0.643937 + 0.812096I
b = 0.94873 + 1.97478I
−0.7222 + 21.4618I 0
u = 0.64860 − 1.35638I
a = 0.643937 − 0.812096I
b = 0.94873 − 1.97478I
−0.7222 − 21.4618I 0
u = −0.39819 + 1.47452I
a = 0.571371 + 0.039378I
b = 0.479328 + 0.400498I
−4.79980 + 3.11783I 0
u = −0.39819 − 1.47452I
a = 0.571371 − 0.039378I
b = 0.479328 − 0.400498I
−4.79980 − 3.11783I 0
u = −0.65246 + 1.39078I
a = −0.332010 + 0.665614I
b = −0.010419 + 1.383420I
−3.29905 + 3.48422I 0
u = −0.65246 − 1.39078I
a = −0.332010 − 0.665614I
b = −0.010419 − 1.383420I
−3.29905 − 3.48422I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.53303 + 1.45329I
a = 0.506608 − 0.585469I
b = 0.83655 − 1.27421I
−1.10419 − 7.01659I 0
u = −0.53303 − 1.45329I
a = 0.506608 + 0.585469I
b = 0.83655 + 1.27421I
−1.10419 + 7.01659I 0
u = −0.317621 + 0.271049I
a = 0.85369 + 1.64738I
b = 0.014763 − 0.148930I
−0.90802 − 2.04480I −6.39008 + 9.14229I
u = −0.317621 − 0.271049I
a = 0.85369 − 1.64738I
b = 0.014763 + 0.148930I
−0.90802 + 2.04480I −6.39008 − 9.14229I
u = 0.72527 + 1.47658I
a = −0.630211 − 0.556611I
b = −0.81546 − 1.31851I
1.57690 + 10.67620I 0
u = 0.72527 − 1.47658I
a = −0.630211 + 0.556611I
b = −0.81546 + 1.31851I
1.57690 − 10.67620I 0
u = −0.304858 + 0.108919I
a = −1.71320 + 2.86947I
b = 0.644618 + 0.703006I
−0.501107 − 0.954315I 0.24727 + 2.17260I
u = −0.304858 − 0.108919I
a = −1.71320 − 2.86947I
b = 0.644618 − 0.703006I
−0.501107 + 0.954315I 0.24727 − 2.17260I
u = 0.317742
a = −1.93034
b = 0.760885
−1.82676 −5.98890
u = 0.13638 + 1.69141I
a = −0.432205 + 0.294077I
b = −0.265270 + 0.670573I
−3.85862 − 8.50791I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.13638 − 1.69141I
a = −0.432205 − 0.294077I
b = −0.265270 − 0.670573I
−3.85862 + 8.50791I 0
u = 1.70463 + 0.42061I
a = −0.267229 − 0.558409I
b = 0.057483 − 0.488060I
5.60493 − 2.40660I 0
u = 1.70463 − 0.42061I
a = −0.267229 + 0.558409I
b = 0.057483 + 0.488060I
5.60493 + 2.40660I 0
u = −0.203950
a = −0.685657
b = −5.51342
−0.00997890 374.100
u = 0.099879 + 0.146879I
a = −2.73453 − 0.45863I
b = 0.384950 + 0.437736I
−0.236843 − 1.371990I −2.11786 + 3.97507I
u = 0.099879 − 0.146879I
a = −2.73453 + 0.45863I
b = 0.384950 − 0.437736I
−0.236843 + 1.371990I −2.11786 − 3.97507I
u = −1.89599 + 0.10408I
a = 0.104154 − 0.415622I
b = −0.077823 − 0.348744I
4.50514 − 0.76842I 0
u = −1.89599 − 0.10408I
a = 0.104154 + 0.415622I
b = −0.077823 + 0.348744I
4.50514 + 0.76842I 0
u = 0.0973867
a = −8.50347
b = 0.859997
−1.62134 −10.8400
23
II.
I
u
2
= h6.02×10
80
u
50
+4.69×10
81
u
49
+· · ·+2.59×10
81
b−1.95×10
81
, −1.84×
10
80
u
50
−2.22×10
81
u
49
+· · ·+7.12×10
81
a−2.81×10
82
, u
51
+8u
50
+· · ·−4u+1i
(i) Arc colorings
a
5
=
1
0
a
8
=
0
u
a
6
=
1
−u
2
a
9
=
u
u
a
12
=
0.0257961u
50
+ 0.312047u
49
+ ··· + 15.9378u + 3.95059
−0.232311u
50
− 1.80959u
49
+ ··· + 3.31228u + 0.751664
a
7
=
1.92484u
50
+ 15.6596u
49
+ ··· + 31.9750u − 9.03184
0.412646u
50
+ 3.64360u
49
+ ··· + 4.38370u − 1.09060
a
1
=
0.713837u
50
+ 5.21070u
49
+ ··· − 23.4981u − 0.834817
1.73539u
50
+ 13.6564u
49
+ ··· + 0.589229u − 0.849516
a
11
=
−0.0997664u
50
− 0.816740u
49
+ ··· + 15.9688u + 4.00737
−0.357873u
50
− 2.93838u
49
+ ··· + 3.34326u + 0.808445
a
4
=
−1.29915u
50
− 10.7520u
49
+ ··· − 36.4072u + 0.408832
0.291337u
50
+ 2.02957u
49
+ ··· − 3.48364u − 1.26159
a
2
=
−0.759381u
50
− 6.09006u
49
+ ··· − 14.9802u + 7.45797
0.147881u
50
+ 1.21262u
49
+ ··· − 3.29428u + 1.54059
a
3
=
−0.813868u
50
− 6.42723u
49
+ ··· − 17.5752u + 9.01358
0.160230u
50
+ 1.36371u
49
+ ··· − 3.74367u + 1.63932
a
10
=
1.03831u
50
+ 8.35462u
49
+ ··· + 11.1721u + 6.55271
0.661772u
50
+ 5.03794u
49
+ ··· + 5.20741u + 0.784418
(ii) Obstruction class = 1
(iii) Cusp Shapes = −3.92535u
50
− 28.5265u
49
+ ··· − 33.7315u + 13.4036
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
51
+ 4u
49
+ ··· − 7u + 1
c
2
8(8u
51
− 24u
50
+ ··· − 4u + 1)
c
3
8(8u
51
− 16u
50
+ ··· − 9u + 1)
c
4
u
51
+ u
50
+ ··· + 1312u + 184
c
5
u
51
+ 8u
50
+ ··· − 4u + 1
c
6
8(8u
51
+ 24u
50
+ ··· − 4u − 1)
c
7
u
51
+ u
50
+ ··· + 14u + 1
c
8
u
51
− 8u
50
+ ··· − 4u − 1
c
9
u
51
+ 6u
50
+ ··· + 568u − 56
c
10
8(8u
51
+ 56u
50
+ ··· + 4u + 1)
c
11
64(64u
51
+ 864u
50
+ ··· + 438u + 36)
c
12
u
51
− u
50
+ ··· + 14u − 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
51
+ 8y
50
+ ··· + 3y −1
c
2
, c
6
64(64y
51
− 1760y
50
+ ··· + 50y −1)
c
3
64(64y
51
+ 480y
50
+ ··· + 37y −1)
c
4
y
51
− 35y
50
+ ··· + 890400y −33856
c
5
, c
8
y
51
+ 22y
50
+ ··· − 22y −1
c
7
, c
12
y
51
+ 45y
50
+ ··· + 104y −1
c
9
y
51
+ 14y
50
+ ··· + 45536y −3136
c
10
64(64y
51
+ 1696y
50
+ ··· + 28y −1)
c
11
4096(4096y
51
− 39424y
50
+ ··· + 12924y −1296)
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.132263 + 1.021460I
a = −0.797627 + 0.366228I
b = −2.12044 + 1.77864I
−2.09870 − 0.04092I −2.78926 + 3.56812I
u = −0.132263 − 1.021460I
a = −0.797627 − 0.366228I
b = −2.12044 − 1.77864I
−2.09870 + 0.04092I −2.78926 − 3.56812I
u = 0.155870 + 1.035710I
a = 0.557910 − 0.279871I
b = 0.34985 − 1.96228I
−5.83881 + 0.65454I −8.20454 + 0.I
u = 0.155870 − 1.035710I
a = 0.557910 + 0.279871I
b = 0.34985 + 1.96228I
−5.83881 − 0.65454I −8.20454 + 0.I
u = 0.236031 + 1.024550I
a = 1.69816 + 0.85625I
b = 1.30155 + 1.11191I
1.88119 + 6.51484I 0. − 13.95737I
u = 0.236031 − 1.024550I
a = 1.69816 − 0.85625I
b = 1.30155 − 1.11191I
1.88119 − 6.51484I 0. + 13.95737I
u = −0.923585 + 0.089102I
a = 0.232491 + 0.924029I
b = −0.300919 − 0.078317I
1.18642 − 2.50593I 2.82276 + 5.68506I
u = −0.923585 − 0.089102I
a = 0.232491 − 0.924029I
b = −0.300919 + 0.078317I
1.18642 + 2.50593I 2.82276 − 5.68506I
u = 0.864006 + 0.093224I
a = −0.64452 − 1.37891I
b = −0.062288 − 0.492736I
4.05981 − 5.27650I 3.58291 + 3.80354I
u = 0.864006 − 0.093224I
a = −0.64452 + 1.37891I
b = −0.062288 + 0.492736I
4.05981 + 5.27650I 3.58291 − 3.80354I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.098627 + 0.849402I
a = −2.14587 − 0.53518I
b = −1.102660 − 0.426866I
0.07609 + 4.85812I 3.39746 − 12.59267I
u = 0.098627 − 0.849402I
a = −2.14587 + 0.53518I
b = −1.102660 + 0.426866I
0.07609 − 4.85812I 3.39746 + 12.59267I
u = 0.039213 + 0.819848I
a = 2.41955 + 0.67143I
b = 1.78500 + 1.09118I
3.19180 − 5.15344I 6.4561 + 14.9895I
u = 0.039213 − 0.819848I
a = 2.41955 − 0.67143I
b = 1.78500 − 1.09118I
3.19180 + 5.15344I 6.4561 − 14.9895I
u = −0.140827 + 1.220440I
a = −0.959487 + 0.797945I
b = −0.96403 + 1.14381I
−1.85956 − 4.69855I 0
u = −0.140827 − 1.220440I
a = −0.959487 − 0.797945I
b = −0.96403 − 1.14381I
−1.85956 + 4.69855I 0
u = −1.155580 + 0.431587I
a = 0.725223 − 0.431669I
b = 0.195756 − 0.475323I
1.72614 − 1.21170I 0
u = −1.155580 − 0.431587I
a = 0.725223 + 0.431669I
b = 0.195756 + 0.475323I
1.72614 + 1.21170I 0
u = 0.299932 + 0.686699I
a = 1.08707 + 1.03371I
b = −0.83047 + 2.27241I
1.88472 + 10.14330I 1.75467 − 9.93540I
u = 0.299932 − 0.686699I
a = 1.08707 − 1.03371I
b = −0.83047 − 2.27241I
1.88472 − 10.14330I 1.75467 + 9.93540I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.113855 + 1.283410I
a = 0.528512 − 0.693786I
b = −0.11107 − 1.74218I
−5.14136 + 1.11940I 0
u = 0.113855 − 1.283410I
a = 0.528512 + 0.693786I
b = −0.11107 + 1.74218I
−5.14136 − 1.11940I 0
u = −0.742059 + 1.064560I
a = −0.233131 + 0.460403I
b = −0.02633 + 1.42920I
−5.19904 − 7.36586I 0
u = −0.742059 − 1.064560I
a = −0.233131 − 0.460403I
b = −0.02633 − 1.42920I
−5.19904 + 7.36586I 0
u = −0.666705
a = −0.135422
b = −1.57173
−0.128809 −8.08040
u = −0.371186 + 1.297780I
a = −0.308535 − 0.824568I
b = −0.04668 − 1.54486I
−3.59545 − 5.02647I 0
u = −0.371186 − 1.297780I
a = −0.308535 + 0.824568I
b = −0.04668 + 1.54486I
−3.59545 + 5.02647I 0
u = −0.718333 + 1.171970I
a = −0.320763 + 0.402433I
b = 0.026660 + 1.215420I
−5.43165 + 1.15923I 0
u = −0.718333 − 1.171970I
a = −0.320763 − 0.402433I
b = 0.026660 − 1.215420I
−5.43165 − 1.15923I 0
u = −0.536630 + 0.206097I
a = 0.969692 + 0.646823I
b = −0.108062 + 0.984602I
0.243367 + 1.315940I 2.24151 − 5.47295I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.536630 − 0.206097I
a = 0.969692 − 0.646823I
b = −0.108062 − 0.984602I
0.243367 − 1.315940I 2.24151 + 5.47295I
u = −0.46918 + 1.35415I
a = 0.007712 − 0.291232I
b = 0.159688 − 1.106340I
−3.94810 − 4.94068I 0
u = −0.46918 − 1.35415I
a = 0.007712 + 0.291232I
b = 0.159688 + 1.106340I
−3.94810 + 4.94068I 0
u = 0.57699 + 1.34259I
a = −0.693266 − 0.719143I
b = −1.00117 − 1.73713I
0.15731 + 10.69890I 0
u = 0.57699 − 1.34259I
a = −0.693266 + 0.719143I
b = −1.00117 + 1.73713I
0.15731 − 10.69890I 0
u = −0.60657 + 1.32973I
a = 0.494392 − 0.907765I
b = 0.50358 − 1.69396I
−1.53318 − 5.28115I 0
u = −0.60657 − 1.32973I
a = 0.494392 + 0.907765I
b = 0.50358 + 1.69396I
−1.53318 + 5.28115I 0
u = −0.42384 + 1.47202I
a = 0.450678 − 0.690426I
b = 1.01635 − 1.64562I
−4.16858 − 7.63057I 0
u = −0.42384 − 1.47202I
a = 0.450678 + 0.690426I
b = 1.01635 + 1.64562I
−4.16858 + 7.63057I 0
u = 0.212174 + 0.409786I
a = −0.891756 − 0.573866I
b = 0.35195 − 2.73289I
0.0890666 − 0.0467721I −1.76190 − 4.64781I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.212174 − 0.409786I
a = −0.891756 + 0.573866I
b = 0.35195 + 2.73289I
0.0890666 + 0.0467721I −1.76190 + 4.64781I
u = 1.52556 + 0.25845I
a = 0.203326 + 0.704805I
b = 0.309718 + 0.479097I
5.90085 − 1.90607I 0
u = 1.52556 − 0.25845I
a = 0.203326 − 0.704805I
b = 0.309718 − 0.479097I
5.90085 + 1.90607I 0
u = 0.421890 + 0.058013I
a = −1.20955 − 3.00469I
b = −0.424723 − 0.237528I
4.28350 − 5.29983I 7.27196 + 2.83128I
u = 0.421890 − 0.058013I
a = −1.20955 + 3.00469I
b = −0.424723 + 0.237528I
4.28350 + 5.29983I 7.27196 − 2.83128I
u = −0.26173 + 1.59631I
a = 0.430754 − 0.245125I
b = 1.174660 − 0.473073I
−2.73061 − 8.84149I 0
u = −0.26173 − 1.59631I
a = 0.430754 + 0.245125I
b = 1.174660 + 0.473073I
−2.73061 + 8.84149I 0
u = 0.111292 + 0.192025I
a = 5.02049 + 3.83394I
b = 0.903250 + 0.788036I
5.74496 + 1.28694I 7.20758 − 2.23401I
u = 0.111292 − 0.192025I
a = 5.02049 − 3.83394I
b = 0.903250 − 0.788036I
5.74496 − 1.28694I 7.20758 + 2.23401I
u = −1.84030 + 0.03330I
a = −0.053749 + 0.437470I
b = −0.193323 + 0.299226I
4.60449 − 1.01933I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.84030 − 0.03330I
a = −0.053749 − 0.437470I
b = −0.193323 − 0.299226I
4.60449 + 1.01933I 0
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
51
+ 4u
49
+ ··· − 7u + 1)(u
189
− 19u
188
+ ··· + 26u + 1)
c
2
64(8u
51
− 24u
50
+ ··· − 4u + 1)
· (8u
189
+ 40u
188
+ ··· − 30029u − 2617)
c
3
64(8u
51
− 16u
50
+ ··· − 9u + 1)(8u
189
− 48u
188
+ ··· − 42u − 1)
c
4
(u
51
+ u
50
+ ··· + 1312u + 184)
· (u
189
− 8u
188
+ ··· − 12981419408u + 1387228888)
c
5
(u
51
+ 8u
50
+ ··· − 4u + 1)(u
189
+ 3u
188
+ ··· − 829201u − 94217)
c
6
64(8u
51
+ 24u
50
+ ··· − 4u − 1)
· (8u
189
+ 40u
188
+ ··· − 30029u − 2617)
c
7
(u
51
+ u
50
+ ··· + 14u + 1)
· (u
189
+ 63u
187
+ ··· − 2533599u − 3861113)
c
8
(u
51
− 8u
50
+ ··· − 4u − 1)(u
189
+ 3u
188
+ ··· − 829201u − 94217)
c
9
(u
51
+ 6u
50
+ ··· + 568u − 56)
· (u
189
− 3u
188
+ ··· − 223100552u + 9191768)
c
10
64(8u
51
+ 56u
50
+ ··· + 4u + 1)
· (8u
189
− 88u
188
+ ··· − 28473u + 4057)
c
11
4096(64u
51
+ 864u
50
+ ··· + 438u + 36)
· (64u
189
+ 1376u
188
+ ··· + 45382u + 131644)
c
12
(u
51
− u
50
+ ··· + 14u − 1)
· (u
189
+ 63u
187
+ ··· − 2533599u − 3861113)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
51
+ 8y
50
+ ··· + 3y −1)(y
189
− 11y
188
+ ··· + 578y −1)
c
2
, c
6
4096(64y
51
− 1760y
50
+ ··· + 50y −1)
· (64y
189
− 6880y
188
+ ··· + 558003125y −6848689)
c
3
4096(64y
51
+ 480y
50
+ ··· + 37y −1)
· (64y
189
− 1440y
188
+ ··· + 644y −1)
c
4
(y
51
− 35y
50
+ ··· + 890400y −33856)
· (y
189
− 130y
188
+ ··· + 2.36 × 10
20
y −1.92 × 10
18
)
c
5
, c
8
(y
51
+ 22y
50
+ ··· − 22y −1)
· (y
189
+ 107y
188
+ ··· + 768802165913y −8876843089)
c
7
, c
12
(y
51
+ 45y
50
+ ··· + 104y −1)
· (y
189
+ 126y
188
+ ··· + 543664726773415y −14908193598769)
c
9
(y
51
+ 14y
50
+ ··· + 45536y −3136)
· (y
189
− 9y
188
+ ··· + 47247815469161696y −84488598965824)
c
10
4096(64y
51
+ 1696y
50
+ ··· + 28y −1)
· (64y
189
+ 2848y
188
+ ··· + 2378669203y −16459249)
c
11
16777216(4096y
51
− 39424y
50
+ ··· + 12924y −1296)
· (4096y
189
− 186880y
188
+ ··· − 2242263992996y −17330142736)
36
