12a
0509
(K12a
0509
)
A knot diagram
1
Linearized knot diagam
3 7 8 9 11 2 6 12 5 1 4 10
Solving Sequence
4,9
5
10,12
1 8 3 11 6 7 2
c
4
c
9
c
12
c
8
c
3
c
11
c
5
c
7
c
2
c
1
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.78105 × 10
290
u
107
+ 1.60836 × 10
290
u
106
+ ··· + 3.54086 × 10
291
b − 2.25324 × 10
291
,
− 1.68797 × 10
292
u
107
+ 7.50224 × 10
291
u
106
+ ··· + 1.16848 × 10
293
a − 1.63357 × 10
293
,
u
108
− 2u
107
+ ··· − 3u
2
+ 1i
I
u
2
= hb, a + 1, u + 1i
* 2 irreducible components of dim
C
= 0, with total 109 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−1.78 × 10
290
u
107
+ 1.61 × 10
290
u
106
+ · · · + 3.54 × 10
291
b − 2.25 ×
10
291
, −1.69 × 10
292
u
107
+ 7.50 × 10
291
u
106
+ · · · + 1.17 × 10
293
a − 1.63 ×
10
293
, u
108
− 2u
107
+ · · · − 3u
2
+ 1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
5
=
1
−u
2
a
10
=
u
−u
3
+ u
a
12
=
0.144459u
107
− 0.0642050u
106
+ ··· − 0.623690u + 1.39803
0.0503000u
107
− 0.0454230u
106
+ ··· + 1.89807u + 0.636356
a
1
=
0.0112300u
107
+ 0.207726u
106
+ ··· − 1.38853u + 0.756202
−u
3
+ u
a
8
=
3.64516u
107
− 3.71116u
106
+ ··· − 2.65234u − 6.17436
−0.146240u
107
+ 0.203332u
106
+ ··· − 0.752096u − 1.29717
a
3
=
2.16323u
107
− 2.00756u
106
+ ··· − 1.52409u − 0.229475
0.0623410u
107
+ 0.0227712u
106
+ ··· + 0.941552u + 0.128731
a
11
=
0.0941586u
107
− 0.0187819u
106
+ ··· − 2.52176u + 0.761675
0.0503000u
107
− 0.0454230u
106
+ ··· + 1.89807u + 0.636356
a
6
=
−4.66146u
107
+ 5.27089u
106
+ ··· + 2.68247u + 6.80830
−0.304016u
107
+ 0.592629u
106
+ ··· − 0.844491u − 0.264806
a
7
=
3.63714u
107
− 3.05931u
106
+ ··· + 0.937464u − 4.97673
−0.184958u
107
+ 0.337994u
106
+ ··· − 1.11297u − 0.562464
a
2
=
1.98561u
107
− 1.42635u
106
+ ··· − 5.91663u − 1.39635
−0.121188u
107
+ 0.380071u
106
+ ··· + 0.892331u − 0.0283241
(ii) Obstruction class = −1
(iii) Cusp Shapes = 3.32154u
107
− 2.84726u
106
+ ··· − 14.1969u − 3.91869
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
108
+ 36u
107
+ ··· + 6u + 1
c
2
, c
6
u
108
− 2u
107
+ ··· − 2u + 1
c
3
u
108
+ 4u
107
+ ··· + 487368u + 75901
c
4
, c
9
u
108
− 2u
107
+ ··· − 3u
2
+ 1
c
5
33(33u
108
+ 126u
107
+ ··· + 888u − 139)
c
8
33(33u
108
− 390u
107
+ ··· + 18u − 1)
c
10
, c
12
u
108
− 3u
107
+ ··· − 618u + 49
c
11
u
108
− 3u
107
+ ··· − 384u − 231
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
108
+ 72y
107
+ ··· + 18y + 1
c
2
, c
6
y
108
− 36y
107
+ ··· − 6y + 1
c
3
y
108
− 48y
107
+ ··· − 182916038914y + 5760961801
c
4
, c
9
y
108
− 64y
107
+ ··· − 6y + 1
c
5
1089(1089y
108
+ 76788y
107
+ ··· − 1572226y + 19321)
c
8
1089(1089y
108
+ 74412y
107
+ ··· − 206y + 1)
c
10
, c
12
y
108
− 69y
107
+ ··· − 277554y + 2401
c
11
y
108
− 9y
107
+ ··· + 893430y + 53361
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.925744 + 0.378027I
a = −0.424665 − 0.306104I
b = −0.69136 − 1.65988I
−0.33884 − 4.17825I 0
u = −0.925744 − 0.378027I
a = −0.424665 + 0.306104I
b = −0.69136 + 1.65988I
−0.33884 + 4.17825I 0
u = 0.921133 + 0.391082I
a = 0.466764 − 0.239826I
b = 0.76927 − 1.74937I
−1.46043 + 9.58568I 0
u = 0.921133 − 0.391082I
a = 0.466764 + 0.239826I
b = 0.76927 + 1.74937I
−1.46043 − 9.58568I 0
u = −0.848255 + 0.559300I
a = −0.789114 + 0.479083I
b = −0.645673 − 0.058019I
2.99631 + 4.71722I 0
u = −0.848255 − 0.559300I
a = −0.789114 − 0.479083I
b = −0.645673 + 0.058019I
2.99631 − 4.71722I 0
u = 1.014520 + 0.076956I
a = 2.45207 − 5.72196I
b = −0.021423 − 0.312109I
1.77087 − 0.01042I 0
u = 1.014520 − 0.076956I
a = 2.45207 + 5.72196I
b = −0.021423 + 0.312109I
1.77087 + 0.01042I 0
u = −1.026590 + 0.059563I
a = −4.51531 − 6.54930I
b = 0.084458 − 0.254370I
0.89202 + 5.38333I 0
u = −1.026590 − 0.059563I
a = −4.51531 + 6.54930I
b = 0.084458 + 0.254370I
0.89202 − 5.38333I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.890427 + 0.380807I
a = 0.303584 − 0.136076I
b = 0.96363 − 1.55607I
−5.87089 + 3.60473I 0
u = 0.890427 − 0.380807I
a = 0.303584 + 0.136076I
b = 0.96363 + 1.55607I
−5.87089 − 3.60473I 0
u = −0.402522 + 0.872226I
a = −0.851587 + 0.024864I
b = −0.769645 − 0.059732I
3.17014 + 4.56924I 0
u = −0.402522 − 0.872226I
a = −0.851587 − 0.024864I
b = −0.769645 + 0.059732I
3.17014 − 4.56924I 0
u = 1.038340 + 0.189468I
a = 1.17845 − 1.13861I
b = −0.015139 − 0.648279I
2.69941 + 0.12491I 0
u = 1.038340 − 0.189468I
a = 1.17845 + 1.13861I
b = −0.015139 + 0.648279I
2.69941 − 0.12491I 0
u = 0.927128 + 0.143943I
a = −0.74188 − 2.07907I
b = 0.334650 − 0.476961I
−0.117691 + 0.649963I 0
u = 0.927128 − 0.143943I
a = −0.74188 + 2.07907I
b = 0.334650 + 0.476961I
−0.117691 − 0.649963I 0
u = −0.888497 + 0.299241I
a = 0.062931 − 0.490294I
b = −0.714295 − 1.060540I
−1.24184 − 2.64418I 0
u = −0.888497 − 0.299241I
a = 0.062931 + 0.490294I
b = −0.714295 + 1.060540I
−1.24184 + 2.64418I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.052240 + 0.179848I
a = −1.26879 − 0.62622I
b = 0.041151 − 0.545307I
2.10034 − 5.29369I 0
u = −1.052240 − 0.179848I
a = −1.26879 + 0.62622I
b = 0.041151 + 0.545307I
2.10034 + 5.29369I 0
u = 0.848712 + 0.369880I
a = 0.0752943 + 0.0150683I
b = 1.17863 − 1.30099I
−2.21585 − 2.34815I 0
u = 0.848712 − 0.369880I
a = 0.0752943 − 0.0150683I
b = 1.17863 + 1.30099I
−2.21585 + 2.34815I 0
u = −0.848985 + 0.329851I
a = 0.111920 − 0.165045I
b = −1.00757 − 1.09207I
−1.16913 − 2.62387I 0
u = −0.848985 − 0.329851I
a = 0.111920 + 0.165045I
b = −1.00757 + 1.09207I
−1.16913 + 2.62387I 0
u = −1.061310 + 0.305657I
a = −0.598212 − 0.788151I
b = 0.305065 − 1.165900I
2.24352 − 4.94196I 0
u = −1.061310 − 0.305657I
a = −0.598212 + 0.788151I
b = 0.305065 + 1.165900I
2.24352 + 4.94196I 0
u = 0.120929 + 1.104430I
a = 0.732120 − 0.854405I
b = 0.871944 − 0.960259I
−3.64394 − 12.82890I 0
u = 0.120929 − 1.104430I
a = 0.732120 + 0.854405I
b = 0.871944 + 0.960259I
−3.64394 + 12.82890I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.132220 + 1.107000I
a = −0.723155 − 0.803219I
b = −0.850918 − 0.901810I
−2.37530 + 7.05611I 0
u = −0.132220 − 1.107000I
a = −0.723155 + 0.803219I
b = −0.850918 + 0.901810I
−2.37530 − 7.05611I 0
u = 0.118718 + 1.137740I
a = 0.584529 − 0.837104I
b = 0.694229 − 0.966561I
−8.92521 − 6.29536I 0
u = 0.118718 − 1.137740I
a = 0.584529 + 0.837104I
b = 0.694229 + 0.966561I
−8.92521 + 6.29536I 0
u = 0.920607 + 0.684791I
a = 0.604950 + 0.505920I
b = 0.677981 + 0.023970I
3.79025 + 1.05337I 0
u = 0.920607 − 0.684791I
a = 0.604950 − 0.505920I
b = 0.677981 − 0.023970I
3.79025 − 1.05337I 0
u = −0.157182 + 1.163090I
a = −0.539188 − 0.679767I
b = −0.618550 − 0.791581I
−4.09827 + 3.93224I 0
u = −0.157182 − 1.163090I
a = −0.539188 + 0.679767I
b = −0.618550 + 0.791581I
−4.09827 − 3.93224I 0
u = 1.124520 + 0.348742I
a = 0.578466 − 0.825190I
b = −0.83558 − 1.22876I
1.94202 + 0.30856I 0
u = 1.124520 − 0.348742I
a = 0.578466 + 0.825190I
b = −0.83558 + 1.22876I
1.94202 − 0.30856I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.359054 + 0.726041I
a = 0.950975 + 0.191225I
b = 0.759127 + 0.105143I
3.58114 + 1.18791I 1.84333 + 0.I
u = 0.359054 − 0.726041I
a = 0.950975 − 0.191225I
b = 0.759127 − 0.105143I
3.58114 − 1.18791I 1.84333 + 0.I
u = 0.119524 + 1.202100I
a = 0.382622 − 0.727957I
b = 0.445296 − 0.864404I
−6.28289 + 0.74941I 0
u = 0.119524 − 1.202100I
a = 0.382622 + 0.727957I
b = 0.445296 + 0.864404I
−6.28289 − 0.74941I 0
u = 1.161530 + 0.383511I
a = 0.517820 − 0.931592I
b = −1.26404 − 1.22400I
−0.91867 + 6.16427I 0
u = 1.161530 − 0.383511I
a = 0.517820 + 0.931592I
b = −1.26404 + 1.22400I
−0.91867 − 6.16427I 0
u = 1.210810 + 0.192388I
a = 0.512975 − 0.445035I
b = −0.620722 − 0.356967I
2.76716 + 0.74119I 0
u = 1.210810 − 0.192388I
a = 0.512975 + 0.445035I
b = −0.620722 + 0.356967I
2.76716 − 0.74119I 0
u = −1.179740 + 0.354059I
a = −0.456047 − 0.852388I
b = 1.15794 − 0.95235I
3.30225 − 4.39680I 0
u = −1.179740 − 0.354059I
a = −0.456047 + 0.852388I
b = 1.15794 + 0.95235I
3.30225 + 4.39680I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.179270 + 0.399117I
a = 0.469183 − 0.996289I
b = −1.48757 − 1.17355I
4.03392 + 12.09010I 0
u = 1.179270 − 0.399117I
a = 0.469183 + 0.996289I
b = −1.48757 + 1.17355I
4.03392 − 12.09010I 0
u = −1.184000 + 0.392776I
a = −0.448656 − 0.975463I
b = 1.45864 − 1.10051I
5.12288 − 6.47021I 0
u = −1.184000 − 0.392776I
a = −0.448656 + 0.975463I
b = 1.45864 + 1.10051I
5.12288 + 6.47021I 0
u = −1.251960 + 0.353472I
a = −0.235813 − 0.800576I
b = 1.34319 − 0.46896I
8.08609 − 4.85702I 0
u = −1.251960 − 0.353472I
a = −0.235813 + 0.800576I
b = 1.34319 + 0.46896I
8.08609 + 4.85702I 0
u = 1.266890 + 0.344460I
a = 0.203311 − 0.751783I
b = −1.293520 − 0.367706I
7.96559 − 0.80034I 0
u = 1.266890 − 0.344460I
a = 0.203311 + 0.751783I
b = −1.293520 + 0.367706I
7.96559 + 0.80034I 0
u = 0.571599 + 0.353726I
a = −1.18919 + 1.04297I
b = 1.54397 + 0.18503I
−2.93513 + 5.72866I −8.97675 − 7.05459I
u = 0.571599 − 0.353726I
a = −1.18919 − 1.04297I
b = 1.54397 − 0.18503I
−2.93513 − 5.72866I −8.97675 + 7.05459I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.580654 + 0.313057I
a = 1.27402 + 0.86525I
b = −1.394500 + 0.092527I
−1.85726 − 0.55088I −6.98907 + 1.92903I
u = −0.580654 − 0.313057I
a = 1.27402 − 0.86525I
b = −1.394500 − 0.092527I
−1.85726 + 0.55088I −6.98907 − 1.92903I
u = −0.639538
a = −0.867624
b = −0.334991
−1.72228 −4.61080
u = 0.001334 + 0.616486I
a = −1.50766 + 0.86763I
b = −0.713042 + 0.973471I
0.67445 − 8.26204I −4.89690 + 7.40535I
u = 0.001334 − 0.616486I
a = −1.50766 − 0.86763I
b = −0.713042 − 0.973471I
0.67445 + 8.26204I −4.89690 − 7.40535I
u = 0.500276 + 0.359081I
a = −1.43423 + 1.24440I
b = 1.40023 + 0.46950I
−6.87828 − 0.19248I −13.90816 − 1.39132I
u = 0.500276 − 0.359081I
a = −1.43423 − 1.24440I
b = 1.40023 − 0.46950I
−6.87828 + 0.19248I −13.90816 + 1.39132I
u = 1.240460 + 0.614749I
a = 0.003425 + 1.039780I
b = 1.081660 + 0.532522I
6.13608 + 4.49586I 0
u = 1.240460 − 0.614749I
a = 0.003425 − 1.039780I
b = 1.081660 − 0.532522I
6.13608 − 4.49586I 0
u = 0.021502 + 0.608380I
a = 1.42889 + 0.82516I
b = 0.701016 + 0.881446I
1.69122 + 2.69833I −2.72518 − 2.65013I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.021502 − 0.608380I
a = 1.42889 − 0.82516I
b = 0.701016 − 0.881446I
1.69122 − 2.69833I −2.72518 + 2.65013I
u = −1.253540 + 0.606907I
a = 0.062150 + 1.078220I
b = −1.124860 + 0.600189I
5.97676 − 10.40370I 0
u = −1.253540 − 0.606907I
a = 0.062150 − 1.078220I
b = −1.124860 − 0.600189I
5.97676 + 10.40370I 0
u = 0.435534 + 0.384489I
a = −1.57911 + 1.46008I
b = 1.25735 + 0.74206I
−2.70870 − 6.10751I −8.83271 + 3.91756I
u = 0.435534 − 0.384489I
a = −1.57911 − 1.46008I
b = 1.25735 − 0.74206I
−2.70870 + 6.10751I −8.83271 − 3.91756I
u = −0.576998
a = 1.98015
b = −0.871890
−2.23074 −7.51560
u = −1.30755 + 0.58360I
a = 0.442721 + 1.152310I
b = −1.23750 + 1.03368I
1.30088 − 13.01020I 0
u = −1.30755 − 0.58360I
a = 0.442721 − 1.152310I
b = −1.23750 − 1.03368I
1.30088 + 13.01020I 0
u = 1.31053 + 0.58120I
a = −0.474522 + 1.161580I
b = 1.25222 + 1.07192I
0.0704 + 18.7680I 0
u = 1.31053 − 0.58120I
a = −0.474522 − 1.161580I
b = 1.25222 − 1.07192I
0.0704 − 18.7680I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.30651 + 0.60119I
a = 0.379198 + 1.032710I
b = −1.08673 + 0.96493I
−0.48390 − 10.07670I 0
u = −1.30651 − 0.60119I
a = 0.379198 − 1.032710I
b = −1.08673 − 0.96493I
−0.48390 + 10.07670I 0
u = 1.31538 + 0.59120I
a = −0.473695 + 1.067230I
b = 1.13486 + 1.07933I
−5.18990 + 12.35070I 0
u = 1.31538 − 0.59120I
a = −0.473695 − 1.067230I
b = 1.13486 − 1.07933I
−5.18990 − 12.35070I 0
u = 0.031179 + 0.555696I
a = −1.40374 + 1.10537I
b = −0.452248 + 0.999562I
−4.10844 − 2.54131I −11.25997 + 4.03773I
u = 0.031179 − 0.555696I
a = −1.40374 − 1.10537I
b = −0.452248 − 0.999562I
−4.10844 + 2.54131I −11.25997 − 4.03773I
u = 1.23867 + 0.75093I
a = 0.063132 + 0.615993I
b = 0.658415 + 0.433559I
0.68663 + 3.63462I 0
u = 1.23867 − 0.75093I
a = 0.063132 − 0.615993I
b = 0.658415 − 0.433559I
0.68663 − 3.63462I 0
u = 1.31833 + 0.60963I
a = −0.417752 + 0.941411I
b = 0.975665 + 1.015050I
−2.55097 + 5.51444I 0
u = 1.31833 − 0.60963I
a = −0.417752 − 0.941411I
b = 0.975665 − 1.015050I
−2.55097 − 5.51444I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.415246 + 0.355327I
a = 1.69190 + 1.42790I
b = −1.120280 + 0.681083I
−1.62915 + 0.80906I −6.88320 + 1.14020I
u = −0.415246 − 0.355327I
a = 1.69190 − 1.42790I
b = −1.120280 − 0.681083I
−1.62915 − 0.80906I −6.88320 − 1.14020I
u = −1.31979 + 0.70178I
a = 0.163990 + 0.631511I
b = −0.622992 + 0.681481I
−1.85756 − 7.79878I 0
u = −1.31979 − 0.70178I
a = 0.163990 − 0.631511I
b = −0.622992 − 0.681481I
−1.85756 + 7.79878I 0
u = 0.107278 + 0.485424I
a = −1.41556 + 1.51649I
b = −0.071692 + 1.058810I
−0.85594 + 3.02250I −8.20823 − 2.64255I
u = 0.107278 − 0.485424I
a = −1.41556 − 1.51649I
b = −0.071692 − 1.058810I
−0.85594 − 3.02250I −8.20823 + 2.64255I
u = 0.066053 + 0.469956I
a = 0.917907 + 0.944664I
b = 0.362593 + 0.618283I
−0.174589 + 1.136490I −2.51839 − 5.60062I
u = 0.066053 − 0.469956I
a = 0.917907 − 0.944664I
b = 0.362593 − 0.618283I
−0.174589 − 1.136490I −2.51839 + 5.60062I
u = −0.131959 + 0.418621I
a = 1.39672 + 1.80293I
b = −0.127577 + 0.920155I
−0.20080 + 1.92027I −7.46791 − 2.85116I
u = −0.131959 − 0.418621I
a = 1.39672 − 1.80293I
b = −0.127577 − 0.920155I
−0.20080 − 1.92027I −7.46791 + 2.85116I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54294 + 0.24665I
a = −0.027577 − 0.175176I
b = −0.650129 + 0.189128I
3.29602 − 1.52945I 0
u = 1.54294 − 0.24665I
a = −0.027577 + 0.175176I
b = −0.650129 − 0.189128I
3.29602 + 1.52945I 0
u = −1.57689 + 0.32598I
a = 0.114111 − 0.159654I
b = 0.607173 + 0.310759I
1.84782 + 7.17232I 0
u = −1.57689 − 0.32598I
a = 0.114111 + 0.159654I
b = 0.607173 − 0.310759I
1.84782 − 7.17232I 0
u = −0.372042
a = 2.89533
b = −0.701724
−2.23985 −5.32660
u = −1.34232 + 0.95396I
a = −0.046474 + 0.316903I
b = −0.357278 + 0.326910I
−3.54226 − 0.65940I 0
u = −1.34232 − 0.95396I
a = −0.046474 − 0.316903I
b = −0.357278 − 0.326910I
−3.54226 + 0.65940I 0
u = −1.87037
a = 0.0455971
b = 0.377541
−2.83174 0
15
II. I
u
2
= hb, a + 1, u + 1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
−1
a
5
=
1
−1
a
10
=
−1
0
a
12
=
−1
0
a
1
=
−1
0
a
8
=
−1
−1
a
3
=
0
−1
a
11
=
−1
0
a
6
=
0
−1
a
7
=
−1
0
a
2
=
−1
−1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
7
, c
9
u + 1
c
8
u − 1
c
10
, c
11
, c
12
u
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
7
, c
8
, c
9
y −1
c
10
, c
11
, c
12
y
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.00000
b = 0
−1.64493 −6.00000
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
7
(u + 1)(u
108
+ 36u
107
+ ··· + 6u + 1)
c
2
, c
6
(u + 1)(u
108
− 2u
107
+ ··· − 2u + 1)
c
3
(u + 1)(u
108
+ 4u
107
+ ··· + 487368u + 75901)
c
4
, c
9
(u + 1)(u
108
− 2u
107
+ ··· − 3u
2
+ 1)
c
5
33(u + 1)(33u
108
+ 126u
107
+ ··· + 888u − 139)
c
8
33(u − 1)(33u
108
− 390u
107
+ ··· + 18u − 1)
c
10
, c
12
u(u
108
− 3u
107
+ ··· − 618u + 49)
c
11
u(u
108
− 3u
107
+ ··· − 384u − 231)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y −1)(y
108
+ 72y
107
+ ··· + 18y + 1)
c
2
, c
6
(y −1)(y
108
− 36y
107
+ ··· − 6y + 1)
c
3
(y −1)(y
108
− 48y
107
+ ··· − 1.82916 × 10
11
y + 5.76096 × 10
9
)
c
4
, c
9
(y −1)(y
108
− 64y
107
+ ··· − 6y + 1)
c
5
1089(y −1)(1089y
108
+ 76788y
107
+ ··· − 1572226y + 19321)
c
8
1089(y −1)(1089y
108
+ 74412y
107
+ ··· − 206y + 1)
c
10
, c
12
y(y
108
− 69y
107
+ ··· − 277554y + 2401)
c
11
y(y
108
− 9y
107
+ ··· + 893430y + 53361)
21
