11a
331
(K11a
331
)
A knot diagram
1
Linearized knot diagam
10 6 1 9 8 2 11 5 3 7 4
Solving Sequence
4,9 1,5
3 10 8 6 2 11 7
c
4
c
3
c
9
c
8
c
5
c
2
c
11
c
7
c
1
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h8.54894 × 10
95
u
73
+ 1.55407 × 10
96
u
72
+ ··· + 2.00526 × 10
96
b − 1.27828 × 10
97
,
− 2.74832 × 10
97
u
73
− 4.48394 × 10
97
u
72
+ ··· + 9.42470 × 10
97
a − 1.70641 × 10
99
,
u
74
+ 3u
73
+ ··· + 209u + 47i
I
u
2
= hu
15
+ 3u
14
+ ··· + b + 2, −u
15
− 2u
14
+ ··· + a + 1, u
17
+ 2u
16
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 91 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
= h8.55 × 10
95
u
73
+ 1.55 × 10
96
u
72
+ · · · + 2.01 × 10
96
b − 1.28 ×
10
97
, −2.75 × 10
97
u
73
− 4.48 × 10
97
u
72
+ · · · + 9.42 × 10
97
a − 1.71 ×
10
99
, u
74
+ 3u
73
+ · · · + 209u + 47i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
1
=
0.291608u
73
+ 0.475764u
72
+ ··· + 26.1433u + 18.1057
−0.426327u
73
− 0.774999u
72
+ ··· + 28.8321u + 6.37465
a
5
=
1
−u
2
a
3
=
0.571268u
73
+ 1.64222u
72
+ ··· + 103.904u + 29.6284
−0.233836u
73
− 0.733389u
72
+ ··· − 35.5006u − 10.6620
a
10
=
0.160882u
73
+ 0.784015u
72
+ ··· + 215.233u + 63.4002
−0.0885971u
73
− 1.07134u
72
+ ··· − 178.043u − 55.1254
a
8
=
−u
u
3
+ u
a
6
=
u
2
+ 1
−u
4
− 2u
2
a
2
=
0.756401u
73
+ 2.23671u
72
+ ··· + 147.047u + 42.9701
−0.261940u
73
− 0.983478u
72
+ ··· − 64.0355u − 19.0821
a
11
=
−0.134719u
73
− 0.299235u
72
+ ··· + 54.9754u + 24.4804
−0.426327u
73
− 0.774999u
72
+ ··· + 28.8321u + 6.37465
a
7
=
0.303078u
73
+ 0.404458u
72
+ ··· − 35.9491u − 18.0658
−0.240564u
73
− 0.355060u
72
+ ··· + 2.22918u − 2.45974
a
7
=
0.303078u
73
+ 0.404458u
72
+ ··· − 35.9491u − 18.0658
−0.240564u
73
− 0.355060u
72
+ ··· + 2.22918u − 2.45974
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.681636u
73
− 3.18822u
72
+ ··· − 172.342u − 53.5504
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
74
+ 3u
73
+ ··· + 59049u + 17047
c
2
, c
6
u
74
+ 2u
73
+ ··· − 349u − 241
c
3
, c
11
u
74
− 4u
73
+ ··· + 578u − 28
c
4
, c
5
, c
8
u
74
+ 3u
73
+ ··· + 209u + 47
c
7
, c
10
u
74
− 29u
72
+ ··· + 4312u − 2881
c
9
u
74
− u
73
+ ··· − 2616u + 589
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
74
− 33y
73
+ ··· − 6606862717y + 290600209
c
2
, c
6
y
74
+ 50y
73
+ ··· − 32631y + 58081
c
3
, c
11
y
74
+ 46y
73
+ ··· − 79788y + 784
c
4
, c
5
, c
8
y
74
+ 69y
73
+ ··· − 23847y + 2209
c
7
, c
10
y
74
− 58y
73
+ ··· − 75786956y + 8300161
c
9
y
74
− 9y
73
+ ··· − 10759128y + 346921
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.729537 + 0.676863I
a = 0.868679 + 0.880701I
b = −0.163050 − 1.175520I
4.14808 − 0.48807I 0
u = 0.729537 − 0.676863I
a = 0.868679 − 0.880701I
b = −0.163050 + 1.175520I
4.14808 + 0.48807I 0
u = −0.977426 + 0.331531I
a = 0.19408 − 1.78945I
b = 0.495934 + 1.306620I
9.2153 − 11.1163I 0
u = −0.977426 − 0.331531I
a = 0.19408 + 1.78945I
b = 0.495934 − 1.306620I
9.2153 + 11.1163I 0
u = −0.943528 + 0.160031I
a = 0.306495 − 1.369660I
b = −0.498139 + 0.748835I
3.11842 + 2.09291I 0
u = −0.943528 − 0.160031I
a = 0.306495 + 1.369660I
b = −0.498139 − 0.748835I
3.11842 − 2.09291I 0
u = 0.906285 + 0.046309I
a = 0.37149 + 1.58844I
b = 0.058387 − 0.883000I
2.31155 + 0.31959I 6.67473 + 1.17791I
u = 0.906285 − 0.046309I
a = 0.37149 − 1.58844I
b = 0.058387 + 0.883000I
2.31155 − 0.31959I 6.67473 − 1.17791I
u = 0.795743 + 0.391782I
a = −0.33233 − 1.66140I
b = −0.446696 + 1.338070I
4.98505 + 5.49905I 7.28766 − 5.67795I
u = 0.795743 − 0.391782I
a = −0.33233 + 1.66140I
b = −0.446696 − 1.338070I
4.98505 − 5.49905I 7.28766 + 5.67795I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.040289 + 1.123610I
a = 1.53260 − 0.00979I
b = 0.755296 − 0.806599I
3.32334 + 3.24254I 0
u = −0.040289 − 1.123610I
a = 1.53260 + 0.00979I
b = 0.755296 + 0.806599I
3.32334 − 3.24254I 0
u = 0.639752 + 0.538004I
a = −0.48760 − 1.57150I
b = 0.366420 + 1.022380I
3.84856 − 1.30465I 7.86722 + 0.I
u = 0.639752 − 0.538004I
a = −0.48760 + 1.57150I
b = 0.366420 − 1.022380I
3.84856 + 1.30465I 7.86722 + 0.I
u = 0.000251 + 1.184520I
a = −1.98927 − 1.08115I
b = −0.096365 + 0.840334I
2.78997 − 3.49775I 0
u = 0.000251 − 1.184520I
a = −1.98927 + 1.08115I
b = −0.096365 − 0.840334I
2.78997 + 3.49775I 0
u = −0.159658 + 1.194760I
a = −0.089269 + 0.550066I
b = 0.29274 − 1.69325I
6.20327 − 3.01035I 0
u = −0.159658 − 1.194760I
a = −0.089269 − 0.550066I
b = 0.29274 + 1.69325I
6.20327 + 3.01035I 0
u = −0.546934 + 0.540048I
a = −0.27605 − 1.72599I
b = 0.276972 + 0.159839I
4.14609 + 2.20221I 4.65992 + 1.32874I
u = −0.546934 − 0.540048I
a = −0.27605 + 1.72599I
b = 0.276972 − 0.159839I
4.14609 − 2.20221I 4.65992 − 1.32874I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.107310 + 1.251050I
a = 0.06868 − 1.71275I
b = −0.03954 + 1.50942I
5.33288 + 0.16111I 0
u = −0.107310 − 1.251050I
a = 0.06868 + 1.71275I
b = −0.03954 − 1.50942I
5.33288 − 0.16111I 0
u = 0.643915 + 0.344718I
a = 0.68185 + 2.68762I
b = 0.339896 − 1.158020I
4.28355 + 5.31590I 8.32121 − 6.98455I
u = 0.643915 − 0.344718I
a = 0.68185 − 2.68762I
b = 0.339896 + 1.158020I
4.28355 − 5.31590I 8.32121 + 6.98455I
u = −0.672302 + 0.275487I
a = −0.463214 + 0.218192I
b = 0.994473 + 0.038479I
5.09446 − 5.88932I 7.14918 + 5.98042I
u = −0.672302 − 0.275487I
a = −0.463214 − 0.218192I
b = 0.994473 − 0.038479I
5.09446 + 5.88932I 7.14918 − 5.98042I
u = 0.534184 + 0.471782I
a = −0.203180 + 0.429819I
b = 0.568753 + 0.043415I
1.09531 + 1.83562I 2.55599 − 4.19616I
u = 0.534184 − 0.471782I
a = −0.203180 − 0.429819I
b = 0.568753 − 0.043415I
1.09531 − 1.83562I 2.55599 + 4.19616I
u = −0.781242 + 1.028170I
a = −0.589220 + 0.832021I
b = 0.342776 − 1.173760I
7.24129 + 5.12075I 0
u = −0.781242 − 1.028170I
a = −0.589220 − 0.832021I
b = 0.342776 + 1.173760I
7.24129 − 5.12075I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.162659 + 1.334780I
a = −0.513861 − 0.136702I
b = −1.40639 − 0.48404I
−4.07205 + 2.16735I 0
u = 0.162659 − 1.334780I
a = −0.513861 + 0.136702I
b = −1.40639 + 0.48404I
−4.07205 − 2.16735I 0
u = −0.077830 + 1.356390I
a = 0.719009 − 0.826751I
b = 0.343236 + 0.909674I
−2.84114 + 0.89469I 0
u = −0.077830 − 1.356390I
a = 0.719009 + 0.826751I
b = 0.343236 − 0.909674I
−2.84114 − 0.89469I 0
u = −0.173008 + 1.356910I
a = −1.01178 + 1.02451I
b = −0.593612 − 1.233660I
−3.89386 − 4.74590I 0
u = −0.173008 − 1.356910I
a = −1.01178 − 1.02451I
b = −0.593612 + 1.233660I
−3.89386 + 4.74590I 0
u = −0.605325 + 0.154014I
a = 0.73564 − 1.74796I
b = 0.50294 + 1.38892I
9.24632 + 0.28330I 12.69819 + 0.63805I
u = −0.605325 − 0.154014I
a = 0.73564 + 1.74796I
b = 0.50294 − 1.38892I
9.24632 − 0.28330I 12.69819 − 0.63805I
u = −0.243787 + 1.360410I
a = 1.128220 − 0.271966I
b = 0.755260 + 1.157050I
4.42124 − 2.83103I 0
u = −0.243787 − 1.360410I
a = 1.128220 + 0.271966I
b = 0.755260 − 1.157050I
4.42124 + 2.83103I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.327994 + 1.351610I
a = −0.439710 − 1.149670I
b = −0.290077 + 1.121430I
−2.02174 + 4.04028I 0
u = 0.327994 − 1.351610I
a = −0.439710 + 1.149670I
b = −0.290077 − 1.121430I
−2.02174 − 4.04028I 0
u = −0.195271 + 1.386520I
a = −1.62301 − 0.11159I
b = −0.143149 − 1.028900I
3.52909 − 4.64112I 0
u = −0.195271 − 1.386520I
a = −1.62301 + 0.11159I
b = −0.143149 + 1.028900I
3.52909 + 4.64112I 0
u = −0.47948 + 1.33348I
a = −0.76428 + 1.24106I
b = −0.600996 − 0.993957I
−0.64736 − 7.35044I 0
u = −0.47948 − 1.33348I
a = −0.76428 − 1.24106I
b = −0.600996 + 0.993957I
−0.64736 + 7.35044I 0
u = −0.00514 + 1.42211I
a = −0.340891 + 0.208274I
b = −0.964892 + 0.318084I
−6.82153 + 0.92955I 0
u = −0.00514 − 1.42211I
a = −0.340891 − 0.208274I
b = −0.964892 − 0.318084I
−6.82153 − 0.92955I 0
u = −0.30682 + 1.39309I
a = 0.0331436 − 0.1004190I
b = −0.778543 + 0.548393I
−1.97320 − 2.18673I 0
u = −0.30682 − 1.39309I
a = 0.0331436 + 0.1004190I
b = −0.778543 − 0.548393I
−1.97320 + 2.18673I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.26985 + 1.40575I
a = 0.280548 − 0.298110I
b = 1.265840 − 0.184891I
−0.26002 − 9.34220I 0
u = −0.26985 − 1.40575I
a = 0.280548 + 0.298110I
b = 1.265840 + 0.184891I
−0.26002 + 9.34220I 0
u = 0.25598 + 1.42903I
a = 1.10171 + 1.29179I
b = 0.429957 − 1.299690I
−1.37538 + 8.63536I 0
u = 0.25598 − 1.42903I
a = 1.10171 − 1.29179I
b = 0.429957 + 1.299690I
−1.37538 − 8.63536I 0
u = 0.09320 + 1.45012I
a = 0.367361 − 0.401509I
b = 0.570488 + 0.736664I
−3.23957 + 0.97155I 0
u = 0.09320 − 1.45012I
a = 0.367361 + 0.401509I
b = 0.570488 − 0.736664I
−3.23957 − 0.97155I 0
u = 0.33909 + 1.42618I
a = 0.897474 + 0.790587I
b = 0.412854 − 0.931526I
−2.65219 + 4.84548I 0
u = 0.33909 − 1.42618I
a = 0.897474 − 0.790587I
b = 0.412854 + 0.931526I
−2.65219 − 4.84548I 0
u = 0.14497 + 1.48045I
a = 0.308110 + 0.341335I
b = 0.732906 + 0.027438I
−5.30403 + 4.22277I 0
u = 0.14497 − 1.48045I
a = 0.308110 − 0.341335I
b = 0.732906 − 0.027438I
−5.30403 − 4.22277I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.480633 + 0.177328I
a = −2.91872 + 1.85536I
b = −0.012937 − 1.270620I
8.59018 − 2.10885I 14.2741 + 3.7354I
u = −0.480633 − 0.177328I
a = −2.91872 − 1.85536I
b = −0.012937 + 1.270620I
8.59018 + 2.10885I 14.2741 − 3.7354I
u = 0.31043 + 1.46205I
a = −0.917093 − 0.764806I
b = −0.70775 + 1.34146I
−0.93880 + 9.51927I 0
u = 0.31043 − 1.46205I
a = −0.917093 + 0.764806I
b = −0.70775 − 1.34146I
−0.93880 − 9.51927I 0
u = −0.38759 + 1.47330I
a = 0.98510 − 1.03601I
b = 0.64917 + 1.35397I
3.4628 − 16.0068I 0
u = −0.38759 − 1.47330I
a = 0.98510 + 1.03601I
b = 0.64917 − 1.35397I
3.4628 + 16.0068I 0
u = −0.463049 + 0.111626I
a = 0.09477 + 2.83159I
b = −0.354673 − 1.019580I
0.80708 − 2.42495I 0.09499 + 4.46298I
u = −0.463049 − 0.111626I
a = 0.09477 − 2.83159I
b = −0.354673 + 1.019580I
0.80708 + 2.42495I 0.09499 − 4.46298I
u = 0.437958
a = 0.177670
b = −1.22248
0.260961 17.7580
u = −0.024389 + 0.433644I
a = 0.483657 + 0.315936I
b = −0.542238 + 0.411060I
−0.93889 + 1.06996I −3.82834 − 4.75783I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.024389 − 0.433644I
a = 0.483657 − 0.315936I
b = −0.542238 − 0.411060I
−0.93889 − 1.06996I −3.82834 + 4.75783I
u = 0.413553
a = 1.39372
b = 0.0976025
1.01618 11.7030
u = 0.13112 + 1.67227I
a = 0.249215 + 0.136146I
b = 0.047190 − 0.821814I
−4.10246 + 2.99543I 0
u = 0.13112 − 1.67227I
a = 0.249215 − 0.136146I
b = 0.047190 + 0.821814I
−4.10246 − 2.99543I 0
12
II.
I
u
2
= hu
15
+3u
14
+· · ·+b+2, −u
15
−2u
14
+· · ·+a+1, u
17
+2u
16
+· · ·+4u+1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
1
=
u
15
+ 2u
14
+ ··· + 2u − 1
−u
15
− 3u
14
+ ··· − 6u − 2
a
5
=
1
−u
2
a
3
=
−2u
16
− 4u
15
+ ··· − 12u
2
− u
2u
15
+ 3u
14
+ ··· + 6u + 1
a
10
=
−u
16
− 3u
15
+ ··· − 7u
2
− u
3u
15
+ 6u
14
+ ··· + 14u + 3
a
8
=
−u
u
3
+ u
a
6
=
u
2
+ 1
−u
4
− 2u
2
a
2
=
−2u
16
− 3u
15
+ ··· − 10u
2
+ 3u
u
15
+ u
14
+ ··· + 6u + 1
a
11
=
−u
14
− 2u
13
+ ··· − 4u − 3
−u
15
− 3u
14
+ ··· − 6u − 2
a
7
=
u
16
+ 3u
15
+ ··· + 8u + 4
u
16
+ u
15
+ ··· + 4u + 1
a
7
=
u
16
+ 3u
15
+ ··· + 8u + 4
u
16
+ u
15
+ ··· + 4u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −u
16
+ u
15
− 9u
14
+ 3u
13
− 38u
12
− 17u
11
− 90u
10
− 94u
9
−
121u
8
− 168u
7
− 101u
6
− 123u
5
− 74u
4
− 22u
3
− 43u
2
+ 4u
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
− 6u
16
+ ··· + 6u − 1
c
2
u
17
+ u
16
+ ··· − 5u
2
− 1
c
3
u
17
+ 3u
16
+ ··· + 3u + 1
c
4
, c
5
u
17
+ 2u
16
+ ··· + 4u + 1
c
6
u
17
− u
16
+ ··· + 5u
2
+ 1
c
7
u
17
− 3u
16
+ ··· − u + 1
c
8
u
17
− 2u
16
+ ··· + 4u − 1
c
9
u
17
− 8u
14
+ ··· + 9u + 1
c
10
u
17
+ 3u
16
+ ··· − u − 1
c
11
u
17
− 3u
16
+ ··· + 3u − 1
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
17
− 4y
16
+ ··· + 12y −1
c
2
, c
6
y
17
+ 11y
16
+ ··· − 10y −1
c
3
, c
11
y
17
+ 11y
16
+ ··· − 11y −1
c
4
, c
5
, c
8
y
17
+ 18y
16
+ ··· + 6y −1
c
7
, c
10
y
17
− 17y
16
+ ··· + 15y −1
c
9
y
17
− 12y
14
+ ··· + 55y −1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.917169 + 0.197212I
a = 0.33537 − 1.51249I
b = −0.325330 + 0.891594I
1.91049 + 1.40877I 1.99755 − 3.08552I
u = −0.917169 − 0.197212I
a = 0.33537 + 1.51249I
b = −0.325330 − 0.891594I
1.91049 − 1.40877I 1.99755 + 3.08552I
u = 0.035271 + 1.235610I
a = 0.70102 − 1.33099I
b = 0.19425 + 1.50294I
5.20161 + 1.70001I 5.37273 − 2.73061I
u = 0.035271 − 1.235610I
a = 0.70102 + 1.33099I
b = 0.19425 − 1.50294I
5.20161 − 1.70001I 5.37273 + 2.73061I
u = 0.171164 + 1.296500I
a = 1.75533 − 0.00516I
b = 0.459524 − 0.755278I
2.00726 + 4.91579I 2.45525 − 6.27876I
u = 0.171164 − 1.296500I
a = 1.75533 + 0.00516I
b = 0.459524 + 0.755278I
2.00726 − 4.91579I 2.45525 + 6.27876I
u = 0.409969 + 0.519303I
a = −1.08154 − 2.81632I
b = 0.226258 + 0.744134I
4.98146 − 2.80089I 12.23664 + 2.91381I
u = 0.409969 − 0.519303I
a = −1.08154 + 2.81632I
b = 0.226258 − 0.744134I
4.98146 + 2.80089I 12.23664 − 2.91381I
u = 0.089248 + 0.610949I
a = −0.658805 − 0.382206I
b = 0.101471 − 1.352370I
7.59288 − 1.25507I 8.41084 + 0.24395I
u = 0.089248 − 0.610949I
a = −0.658805 + 0.382206I
b = 0.101471 + 1.352370I
7.59288 + 1.25507I 8.41084 − 0.24395I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.124683 + 1.379790I
a = −0.427475 − 0.148819I
b = −1.044610 + 0.361468I
−4.85490 − 1.43958I −1.090547 − 0.048277I
u = −0.124683 − 1.379790I
a = −0.427475 + 0.148819I
b = −1.044610 − 0.361468I
−4.85490 + 1.43958I −1.090547 + 0.048277I
u = −0.36245 + 1.38049I
a = −0.841748 + 1.085670I
b = −0.467784 − 1.122320I
−2.18873 − 6.08260I 3.68269 + 6.06370I
u = −0.36245 − 1.38049I
a = −0.841748 − 1.085670I
b = −0.467784 + 1.122320I
−2.18873 + 6.08260I 3.68269 − 6.06370I
u = −0.17262 + 1.59957I
a = 0.019317 − 0.357002I
b = −0.175891 + 0.545807I
−4.71707 − 2.60778I −2.21051 − 0.39909I
u = −0.17262 − 1.59957I
a = 0.019317 + 0.357002I
b = −0.175891 − 0.545807I
−4.71707 + 2.60778I −2.21051 + 0.39909I
u = −0.257452
a = −1.60294
b = −0.935779
−0.126778 −3.70930
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
− 6u
16
+ ··· + 6u − 1)(u
74
+ 3u
73
+ ··· + 59049u + 17047)
c
2
(u
17
+ u
16
+ ··· − 5u
2
− 1)(u
74
+ 2u
73
+ ··· − 349u − 241)
c
3
(u
17
+ 3u
16
+ ··· + 3u + 1)(u
74
− 4u
73
+ ··· + 578u − 28)
c
4
, c
5
(u
17
+ 2u
16
+ ··· + 4u + 1)(u
74
+ 3u
73
+ ··· + 209u + 47)
c
6
(u
17
− u
16
+ ··· + 5u
2
+ 1)(u
74
+ 2u
73
+ ··· − 349u − 241)
c
7
(u
17
− 3u
16
+ ··· − u + 1)(u
74
− 29u
72
+ ··· + 4312u − 2881)
c
8
(u
17
− 2u
16
+ ··· + 4u − 1)(u
74
+ 3u
73
+ ··· + 209u + 47)
c
9
(u
17
− 8u
14
+ ··· + 9u + 1)(u
74
− u
73
+ ··· − 2616u + 589)
c
10
(u
17
+ 3u
16
+ ··· − u − 1)(u
74
− 29u
72
+ ··· + 4312u − 2881)
c
11
(u
17
− 3u
16
+ ··· + 3u − 1)(u
74
− 4u
73
+ ··· + 578u − 28)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
17
− 4y
16
+ ··· + 12y −1)
· (y
74
− 33y
73
+ ··· − 6606862717y + 290600209)
c
2
, c
6
(y
17
+ 11y
16
+ ··· − 10y −1)(y
74
+ 50y
73
+ ··· − 32631y + 58081)
c
3
, c
11
(y
17
+ 11y
16
+ ··· − 11y −1)(y
74
+ 46y
73
+ ··· − 79788y + 784)
c
4
, c
5
, c
8
(y
17
+ 18y
16
+ ··· + 6y −1)(y
74
+ 69y
73
+ ··· − 23847y + 2209)
c
7
, c
10
(y
17
− 17y
16
+ ··· + 15y −1)
· (y
74
− 58y
73
+ ··· − 75786956y + 8300161)
c
9
(y
17
− 12y
14
+ ··· + 55y −1)
· (y
74
− 9y
73
+ ··· − 10759128y + 346921)
19
