12a
0242
(K12a
0242
)
A knot diagram
1
Linearized knot diagam
3 6 7 10 2 1 5 11 12 4 9 8
Solving Sequence
2,6
3 1 7 5
8,10
4 11 12 9
c
2
c
1
c
6
c
5
c
7
c
4
c
10
c
12
c
9
c
3
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
100
+ 2u
99
+ ··· + b + 1, u
99
− u
98
+ ··· + a + u, u
101
− 2u
100
+ ··· − 3u + 1i
I
u
2
= h−u
5
− u
4
+ u
3
+ u
2
+ b, −u
5
− u
4
+ u
3
+ u
2
+ a, u
6
+ u
5
− u
4
− 2u
3
+ u + 1i
* 2 irreducible components of dim
C
= 0, with total 107 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−u
100
+2u
99
+· · ·+b+1, u
99
−u
98
+· · ·+a+u, u
101
−2u
100
+· · ·−3u+1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
u
2
a
1
=
−u
2
+ 1
−u
4
a
7
=
u
5
− 2u
3
+ u
u
7
− u
5
+ u
a
5
=
u
u
a
8
=
u
9
− 2u
7
+ 3u
5
− 2u
3
+ u
u
9
− u
7
+ u
5
+ u
a
10
=
−u
99
+ u
98
+ ··· + 2u
2
− u
u
100
− 2u
99
+ ··· + 2u − 1
a
4
=
−u
10
+ 3u
8
− 4u
6
+ 3u
4
− u
2
+ 1
−u
12
+ 2u
10
− 2u
8
+ u
4
a
11
=
−u
99
+ u
98
+ ··· − 4u + 1
−u
100
+ 25u
98
+ ··· − 3u + 1
a
12
=
−u
22
+ 5u
20
+ ··· − 2u
2
+ 1
−u
22
+ 4u
20
− 9u
18
+ 12u
16
− 12u
14
+ 10u
12
− 9u
10
+ 6u
8
− 3u
6
− u
2
a
9
=
−u
99
+ u
98
+ ··· − 2u + 1
−u
99
+ u
98
+ ··· − 2u
3
+ 2u
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = 12u
100
− 14u
99
+ ··· + 24u − 14
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
101
+ 48u
100
+ ··· + 5u + 1
c
2
, c
5
u
101
+ 2u
100
+ ··· − 3u − 1
c
3
u
101
− 2u
100
+ ··· − 20923u − 4753
c
4
, c
10
u
101
+ u
100
+ ··· + 192u + 64
c
6
u
101
+ 6u
100
+ ··· − 4249u − 935
c
7
u
101
+ 12u
100
+ ··· + 15457u + 841
c
8
, c
9
, c
11
u
101
− 7u
100
+ ··· − 6u + 1
c
12
u
101
+ 39u
100
+ ··· − 24576u − 4096
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
101
+ 12y
100
+ ··· − 3y −1
c
2
, c
5
y
101
− 48y
100
+ ··· + 5y −1
c
3
y
101
− 24y
100
+ ··· + 1248690765y −22591009
c
4
, c
10
y
101
+ 39y
100
+ ··· − 24576y −4096
c
6
y
101
+ 24y
100
+ ··· − 42754659y −874225
c
7
y
101
+ 12y
100
+ ··· + 19680241y −707281
c
8
, c
9
, c
11
y
101
− 87y
100
+ ··· + 14y −1
c
12
y
101
+ 35y
100
+ ··· + 452984832y −16777216
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.052420 + 0.128459I
a = 0.1398400 − 0.0153419I
b = 0.432857 − 0.949399I
−4.78922 − 2.77784I 0
u = 1.052420 − 0.128459I
a = 0.1398400 + 0.0153419I
b = 0.432857 + 0.949399I
−4.78922 + 2.77784I 0
u = 0.755068 + 0.557624I
a = 0.102973 + 0.282474I
b = −0.578772 − 0.739571I
−6.39865 − 2.23005I 0
u = 0.755068 − 0.557624I
a = 0.102973 − 0.282474I
b = −0.578772 + 0.739571I
−6.39865 + 2.23005I 0
u = 0.633815 + 0.669876I
a = 0.580927 + 0.080737I
b = 0.92685 + 1.45655I
−1.26580 − 9.60369I 0
u = 0.633815 − 0.669876I
a = 0.580927 − 0.080737I
b = 0.92685 − 1.45655I
−1.26580 + 9.60369I 0
u = 1.030840 + 0.337224I
a = −0.046217 + 0.243872I
b = 0.457897 + 0.352581I
−1.96756 − 1.35415I 0
u = 1.030840 − 0.337224I
a = −0.046217 − 0.243872I
b = 0.457897 − 0.352581I
−1.96756 + 1.35415I 0
u = 1.070010 + 0.217154I
a = −0.199686 − 0.063001I
b = −0.705802 + 0.573504I
−0.934930 − 0.044176I 0
u = 1.070010 − 0.217154I
a = −0.199686 + 0.063001I
b = −0.705802 − 0.573504I
−0.934930 + 0.044176I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.609804 + 0.654819I
a = −0.509436 − 0.264760I
b = −0.79698 − 1.54382I
3.60239 − 5.43636I 0. + 6.67139I
u = 0.609804 − 0.654819I
a = −0.509436 + 0.264760I
b = −0.79698 + 1.54382I
3.60239 + 5.43636I 0. − 6.67139I
u = 0.938435 + 0.588259I
a = −0.842077 − 0.734205I
b = 0.197316 − 0.238136I
−2.16486 + 4.72332I 0
u = 0.938435 − 0.588259I
a = −0.842077 + 0.734205I
b = 0.197316 + 0.238136I
−2.16486 − 4.72332I 0
u = −0.966470 + 0.548870I
a = 1.28398 − 0.83171I
b = 0.88047 − 1.68436I
−0.672587 + 1.029480I 0
u = −0.966470 − 0.548870I
a = 1.28398 + 0.83171I
b = 0.88047 + 1.68436I
−0.672587 − 1.029480I 0
u = 0.959435 + 0.569390I
a = 1.041610 + 0.586251I
b = 0.099199 + 0.178007I
2.57284 + 0.65864I 0
u = 0.959435 − 0.569390I
a = 1.041610 − 0.586251I
b = 0.099199 − 0.178007I
2.57284 − 0.65864I 0
u = −0.534368 + 0.701148I
a = −0.818876 + 0.909716I
b = 0.359753 + 0.781522I
0.58025 − 3.29880I 0. + 3.45551I
u = −0.534368 − 0.701148I
a = −0.818876 − 0.909716I
b = 0.359753 − 0.781522I
0.58025 + 3.29880I 0. − 3.45551I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.602981 + 0.633411I
a = −1.23643 + 0.76240I
b = −0.033260 + 1.072500I
0.39493 + 3.62199I 0. − 4.25248I
u = −0.602981 − 0.633411I
a = −1.23643 − 0.76240I
b = −0.033260 − 1.072500I
0.39493 − 3.62199I 0. + 4.25248I
u = −1.098480 + 0.249907I
a = 1.46633 + 2.09687I
b = 0.95181 + 2.80503I
−4.54068 − 0.41043I 0
u = −1.098480 − 0.249907I
a = 1.46633 − 2.09687I
b = 0.95181 − 2.80503I
−4.54068 + 0.41043I 0
u = 0.991961 + 0.547840I
a = −1.371260 − 0.274593I
b = −0.568754 + 0.042247I
−0.36209 − 3.54745I 0
u = 0.991961 − 0.547840I
a = −1.371260 + 0.274593I
b = −0.568754 − 0.042247I
−0.36209 + 3.54745I 0
u = −0.559631 + 0.661068I
a = 1.023780 − 0.774703I
b = −0.135780 − 0.895963I
4.42732 + 0.11667I 4.83665 + 0.I
u = −0.559631 − 0.661068I
a = 1.023780 + 0.774703I
b = −0.135780 + 0.895963I
4.42732 − 0.11667I 4.83665 + 0.I
u = 1.114920 + 0.238092I
a = 0.284121 + 0.095472I
b = 1.059400 − 0.516964I
−5.34739 + 2.98728I 0
u = 1.114920 − 0.238092I
a = 0.284121 − 0.095472I
b = 1.059400 + 0.516964I
−5.34739 − 2.98728I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.120580 + 0.224260I
a = −1.34807 − 1.71177I
b = −0.64781 − 2.48601I
−2.28390 − 4.97717I 0
u = −1.120580 − 0.224260I
a = −1.34807 + 1.71177I
b = −0.64781 + 2.48601I
−2.28390 + 4.97717I 0
u = −1.097540 + 0.321538I
a = 0.62090 + 2.60978I
b = 0.52128 + 3.42738I
−5.22703 + 0.81000I 0
u = −1.097540 − 0.321538I
a = 0.62090 − 2.60978I
b = 0.52128 − 3.42738I
−5.22703 − 0.81000I 0
u = −0.418601 + 0.745337I
a = −0.031445 − 1.080460I
b = −0.636462 − 0.121876I
−0.004549 + 0.828463I −2.59773 − 3.39866I
u = −0.418601 − 0.745337I
a = −0.031445 + 1.080460I
b = −0.636462 + 0.121876I
−0.004549 − 0.828463I −2.59773 + 3.39866I
u = 0.341589 + 0.777836I
a = 2.60469 + 0.69821I
b = 1.029160 + 0.935138I
−2.75864 + 11.91880I −3.31016 − 7.20088I
u = 0.341589 − 0.777836I
a = 2.60469 − 0.69821I
b = 1.029160 − 0.935138I
−2.75864 − 11.91880I −3.31016 + 7.20088I
u = −0.998781 + 0.571100I
a = −1.160180 + 0.609320I
b = −0.93422 + 1.48602I
3.13296 + 4.68056I 0
u = −0.998781 − 0.571100I
a = −1.160180 − 0.609320I
b = −0.93422 − 1.48602I
3.13296 − 4.68056I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.572328 + 0.624706I
a = 0.273818 + 0.545396I
b = 0.53365 + 1.66046I
0.876218 − 1.073990I −0.47148 + 3.54648I
u = 0.572328 − 0.624706I
a = 0.273818 − 0.545396I
b = 0.53365 − 1.66046I
0.876218 + 1.073990I −0.47148 − 3.54648I
u = 1.108560 + 0.343316I
a = −0.216053 − 0.426382I
b = −1.119240 − 0.438738I
−6.42822 − 3.14881I 0
u = 1.108560 − 0.343316I
a = −0.216053 + 0.426382I
b = −1.119240 + 0.438738I
−6.42822 + 3.14881I 0
u = −1.140370 + 0.219226I
a = 1.18416 + 1.60649I
b = 0.40484 + 2.47427I
−7.44620 − 9.17178I 0
u = −1.140370 − 0.219226I
a = 1.18416 − 1.60649I
b = 0.40484 − 2.47427I
−7.44620 + 9.17178I 0
u = 0.347158 + 0.760698I
a = −2.62218 − 0.68502I
b = −1.18577 − 0.88400I
2.29536 + 7.62101I 0.67662 − 6.29564I
u = 0.347158 − 0.760698I
a = −2.62218 + 0.68502I
b = −1.18577 + 0.88400I
2.29536 − 7.62101I 0.67662 + 6.29564I
u = −1.111800 + 0.363448I
a = −0.24482 − 2.31312I
b = −0.36784 − 3.24484I
−3.73764 + 5.11320I 0
u = −1.111800 − 0.363448I
a = −0.24482 + 2.31312I
b = −0.36784 + 3.24484I
−3.73764 − 5.11320I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.374481 + 0.736699I
a = 0.356343 + 1.067530I
b = 0.611684 − 0.079445I
3.53001 − 2.28299I 3.74749 + 1.05855I
u = −0.374481 − 0.736699I
a = 0.356343 − 1.067530I
b = 0.611684 + 0.079445I
3.53001 + 2.28299I 3.74749 − 1.05855I
u = −0.340956 + 0.748894I
a = −0.547438 − 1.193920I
b = −0.653813 + 0.195404I
−0.87772 − 5.64328I −2.11529 + 3.95512I
u = −0.340956 − 0.748894I
a = −0.547438 + 1.193920I
b = −0.653813 − 0.195404I
−0.87772 + 5.64328I −2.11529 − 3.95512I
u = −1.019800 + 0.591476I
a = 1.148060 − 0.373840I
b = 1.11297 − 1.29175I
−0.85273 + 8.26854I 0
u = −1.019800 − 0.591476I
a = 1.148060 + 0.373840I
b = 1.11297 + 1.29175I
−0.85273 − 8.26854I 0
u = −1.143830 + 0.294047I
a = −0.78969 − 2.09405I
b = −0.45626 − 3.15545I
−12.66950 − 0.31771I 0
u = −1.143830 − 0.294047I
a = −0.78969 + 2.09405I
b = −0.45626 + 3.15545I
−12.66950 + 0.31771I 0
u = 0.345911 + 0.731475I
a = 2.66528 + 0.61476I
b = 1.40337 + 0.66992I
−0.20007 + 2.98834I −2.71240 − 3.17778I
u = 0.345911 − 0.731475I
a = 2.66528 − 0.61476I
b = 1.40337 − 0.66992I
−0.20007 − 2.98834I −2.71240 + 3.17778I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.139320 + 0.371305I
a = 0.31637 + 2.12611I
b = 0.48661 + 3.21867I
−9.15955 + 8.82637I 0
u = −1.139320 − 0.371305I
a = 0.31637 − 2.12611I
b = 0.48661 − 3.21867I
−9.15955 − 8.82637I 0
u = −1.077030 + 0.542858I
a = 0.071890 − 0.629892I
b = −0.283599 − 0.913705I
−0.45669 + 5.39599I 0
u = −1.077030 − 0.542858I
a = 0.071890 + 0.629892I
b = −0.283599 + 0.913705I
−0.45669 − 5.39599I 0
u = 1.100270 + 0.494755I
a = −0.32807 + 1.65232I
b = 0.27526 + 2.25742I
−2.87000 − 2.35849I 0
u = 1.100270 − 0.494755I
a = −0.32807 − 1.65232I
b = 0.27526 − 2.25742I
−2.87000 + 2.35849I 0
u = 0.259363 + 0.735630I
a = −2.40428 − 0.68228I
b = −0.805941 − 0.276762I
−8.48867 + 3.43756I −7.95352 − 2.84384I
u = 0.259363 − 0.735630I
a = −2.40428 + 0.68228I
b = −0.805941 + 0.276762I
−8.48867 − 3.43756I −7.95352 + 2.84384I
u = −1.107400 + 0.512207I
a = 0.130066 + 1.191490I
b = 0.80513 + 1.69395I
−5.28761 + 4.34357I 0
u = −1.107400 − 0.512207I
a = 0.130066 − 1.191490I
b = 0.80513 − 1.69395I
−5.28761 − 4.34357I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.129590 + 0.478328I
a = −0.14991 − 1.46790I
b = −0.92464 − 2.18332I
−8.43973 + 0.95842I 0
u = 1.129590 − 0.478328I
a = −0.14991 + 1.46790I
b = −0.92464 + 2.18332I
−8.43973 − 0.95842I 0
u = 1.108120 + 0.527727I
a = 0.13959 − 2.44107I
b = −0.23659 − 3.14177I
−3.82038 − 6.62383I 0
u = 1.108120 − 0.527727I
a = 0.13959 + 2.44107I
b = −0.23659 + 3.14177I
−3.82038 + 6.62383I 0
u = −1.090320 + 0.586037I
a = −0.794158 − 0.400622I
b = −1.41676 + 0.02390I
−1.98492 + 4.22859I 0
u = −1.090320 − 0.586037I
a = −0.794158 + 0.400622I
b = −1.41676 − 0.02390I
−1.98492 − 4.22859I 0
u = −1.106080 + 0.570992I
a = 0.642285 + 0.669252I
b = 1.40913 + 0.52941I
1.38275 + 7.25833I 0
u = −1.106080 − 0.570992I
a = 0.642285 − 0.669252I
b = 1.40913 − 0.52941I
1.38275 − 7.25833I 0
u = 1.114420 + 0.562555I
a = −0.81295 − 2.95978I
b = −0.81437 − 3.80458I
−2.44582 − 7.91446I 0
u = 1.114420 − 0.562555I
a = −0.81295 + 2.95978I
b = −0.81437 + 3.80458I
−2.44582 + 7.91446I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.407550 + 0.629321I
a = −0.677042 − 0.205606I
b = −0.244368 + 0.284778I
1.49320 − 0.76735I 6.12300 + 0.96206I
u = −0.407550 − 0.629321I
a = −0.677042 + 0.205606I
b = −0.244368 − 0.284778I
1.49320 + 0.76735I 6.12300 − 0.96206I
u = −1.120230 + 0.566440I
a = −0.667711 − 0.855882I
b = −1.59973 − 0.83078I
−3.16163 + 10.62420I 0
u = −1.120230 − 0.566440I
a = −0.667711 + 0.855882I
b = −1.59973 + 0.83078I
−3.16163 − 10.62420I 0
u = 1.135270 + 0.538064I
a = 0.52498 + 2.30671I
b = 0.87565 + 3.29608I
−11.02440 − 8.24194I 0
u = 1.135270 − 0.538064I
a = 0.52498 − 2.30671I
b = 0.87565 − 3.29608I
−11.02440 + 8.24194I 0
u = 1.121660 + 0.571763I
a = 1.02281 + 2.77205I
b = 0.93735 + 3.74422I
0.01813 − 12.65240I 0
u = 1.121660 − 0.571763I
a = 1.02281 − 2.77205I
b = 0.93735 − 3.74422I
0.01813 + 12.65240I 0
u = 1.128560 + 0.575455I
a = −1.06834 − 2.64436I
b = −0.96826 − 3.71918I
−5.0801 − 17.0054I 0
u = 1.128560 − 0.575455I
a = −1.06834 + 2.64436I
b = −0.96826 + 3.71918I
−5.0801 + 17.0054I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.283550 + 0.647515I
a = 2.23141 + 0.35424I
b = 1.074950 − 0.206995I
−1.48981 + 2.04466I −5.62916 − 3.79059I
u = 0.283550 − 0.647515I
a = 2.23141 − 0.35424I
b = 1.074950 + 0.206995I
−1.48981 − 2.04466I −5.62916 + 3.79059I
u = 0.112489 + 0.678879I
a = 1.98470 + 0.88755I
b = 0.480281 − 0.196783I
−5.59993 − 5.24861I −6.43481 + 3.80727I
u = 0.112489 − 0.678879I
a = 1.98470 − 0.88755I
b = 0.480281 + 0.196783I
−5.59993 + 5.24861I −6.43481 − 3.80727I
u = 0.555631 + 0.364904I
a = −0.478905 − 0.138519I
b = −0.050258 + 0.905826I
−0.57618 − 1.33093I −3.67880 + 6.04129I
u = 0.555631 − 0.364904I
a = −0.478905 + 0.138519I
b = −0.050258 − 0.905826I
−0.57618 + 1.33093I −3.67880 − 6.04129I
u = −0.223103 + 0.609649I
a = 1.28747 + 0.84230I
b = 0.462436 − 0.362061I
−2.87314 + 0.06313I −4.60896 + 0.44073I
u = −0.223103 − 0.609649I
a = 1.28747 − 0.84230I
b = 0.462436 + 0.362061I
−2.87314 − 0.06313I −4.60896 − 0.44073I
u = 0.134739 + 0.590370I
a = −1.83884 − 0.72913I
b = −0.565952 + 0.320273I
−0.36248 − 1.81610I −2.37443 + 3.66266I
u = 0.134739 − 0.590370I
a = −1.83884 + 0.72913I
b = −0.565952 − 0.320273I
−0.36248 + 1.81610I −2.37443 − 3.66266I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.512467
a = 2.15131
b = 0.883872
−2.31617 −2.44180
15
II.
I
u
2
= h−u
5
−u
4
+u
3
+u
2
+b, −u
5
−u
4
+u
3
+u
2
+a, u
6
+u
5
−u
4
−2u
3
+u+1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
u
2
a
1
=
−u
2
+ 1
−u
4
a
7
=
u
5
− 2u
3
+ u
u
5
+ u
4
− 2u
3
− u
2
+ u + 1
a
5
=
u
u
a
8
=
u
2
− 1
u
4
a
10
=
u
5
+ u
4
− u
3
− u
2
u
5
+ u
4
− u
3
− u
2
a
4
=
u
u
a
11
=
u
5
+ u
4
− u
3
− u
2
u
5
+ u
4
− u
3
− u
2
a
12
=
−u
2
+ 1
−u
4
a
9
=
u
5
+ u
4
− u
3
− 1
u
5
+ 2u
4
− u
3
− u
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4u
4
− 3u
2
− 3u − 3
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1
c
2
, c
7
u
6
+ u
5
− u
4
− 2u
3
+ u + 1
c
3
, c
5
u
6
− u
5
− u
4
+ 2u
3
− u + 1
c
4
, c
10
, c
12
u
6
c
8
, c
9
(u − 1)
6
c
11
(u + 1)
6
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1
c
2
, c
3
, c
5
c
7
y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1
c
4
, c
10
, c
12
y
6
c
8
, c
9
, c
11
(y −1)
6
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.002190 + 0.295542I
a = −1.000940 + 0.863088I
b = −1.000940 + 0.863088I
−3.53554 − 0.92430I −6.79748 + 1.68215I
u = 1.002190 − 0.295542I
a = −1.000940 − 0.863088I
b = −1.000940 − 0.863088I
−3.53554 + 0.92430I −6.79748 − 1.68215I
u = −0.428243 + 0.664531I
a = −0.573013 + 0.494098I
b = −0.573013 + 0.494098I
0.245672 − 0.924305I −1.96974 + 0.88960I
u = −0.428243 − 0.664531I
a = −0.573013 − 0.494098I
b = −0.573013 − 0.494098I
0.245672 + 0.924305I −1.96974 − 0.88960I
u = −1.073950 + 0.558752I
a = 0.573950 − 0.818891I
b = 0.573950 − 0.818891I
−1.64493 + 5.69302I −5.23279 − 6.15196I
u = −1.073950 − 0.558752I
a = 0.573950 + 0.818891I
b = 0.573950 + 0.818891I
−1.64493 − 5.69302I −5.23279 + 6.15196I
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1)(u
101
+ 48u
100
+ ··· + 5u + 1)
c
2
(u
6
+ u
5
− u
4
− 2u
3
+ u + 1)(u
101
+ 2u
100
+ ··· − 3u − 1)
c
3
(u
6
− u
5
− u
4
+ 2u
3
− u + 1)(u
101
− 2u
100
+ ··· − 20923u − 4753)
c
4
, c
10
u
6
(u
101
+ u
100
+ ··· + 192u + 64)
c
5
(u
6
− u
5
− u
4
+ 2u
3
− u + 1)(u
101
+ 2u
100
+ ··· − 3u − 1)
c
6
(u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1)(u
101
+ 6u
100
+ ··· − 4249u − 935)
c
7
(u
6
+ u
5
− u
4
− 2u
3
+ u + 1)(u
101
+ 12u
100
+ ··· + 15457u + 841)
c
8
, c
9
((u − 1)
6
)(u
101
− 7u
100
+ ··· − 6u + 1)
c
11
((u + 1)
6
)(u
101
− 7u
100
+ ··· − 6u + 1)
c
12
u
6
(u
101
+ 39u
100
+ ··· − 24576u − 4096)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)(y
101
+ 12y
100
+ ··· − 3y −1)
c
2
, c
5
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)(y
101
− 48y
100
+ ··· + 5y −1)
c
3
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
· (y
101
− 24y
100
+ ··· + 1248690765y −22591009)
c
4
, c
10
y
6
(y
101
+ 39y
100
+ ··· − 24576y −4096)
c
6
(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
· (y
101
+ 24y
100
+ ··· − 42754659y −874225)
c
7
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
· (y
101
+ 12y
100
+ ··· + 19680241y −707281)
c
8
, c
9
, c
11
((y −1)
6
)(y
101
− 87y
100
+ ··· + 14y −1)
c
12
y
6
(y
101
+ 35y
100
+ ··· + 4.52985 × 10
8
y −1.67772 × 10
7
)
21
