12a
1244
(K12a
1244
)
A knot diagram
1
Linearized knot diagam
5 6 10 9 11 3 12 1 4 2 7 8
Solving Sequence
3,10 4,6
7 2 11 12 9 5 1 8
c
3
c
6
c
2
c
10
c
11
c
9
c
4
c
1
c
8
c
5
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h5.55213 × 10
84
u
75
− 1.16390 × 10
85
u
74
+ ··· + 5.41696 × 10
85
b + 4.82475 × 10
85
,
5.54157 × 10
84
u
75
− 2.95347 × 10
84
u
74
+ ··· + 5.41696 × 10
85
a − 3.16627 × 10
86
, u
76
− u
75
+ ··· + 4u − 8i
I
u
2
= h−u
16
− 9u
14
− 31u
12
− u
11
− 49u
10
− 6u
9
− 31u
8
− 12u
7
− 9u
5
+ 4u
4
− 2u
3
+ u
2
+ b − u + 1,
u
16
+ u
15
+ 10u
14
+ 9u
13
+ 40u
12
+ 33u
11
+ 81u
10
+ 63u
9
+ 86u
8
+ 66u
7
+ 44u
6
+ 36u
5
+ 9u
4
+ 8u
3
+ a − 2,
u
17
+ 10u
15
+ 40u
13
+ u
12
+ 80u
11
+ 7u
10
+ 80u
9
+ 18u
8
+ 31u
7
+ 21u
6
− 4u
5
+ 11u
4
− 5u
3
+ 3u
2
− 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 93 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
= h5.55 × 10
84
u
75
− 1.16 × 10
85
u
74
+ · · · + 5.42 × 10
85
b + 4.82 × 10
85
, 5.54 ×
10
84
u
75
−2.95×10
84
u
74
+· · ·+5.42×10
85
a−3.17×10
86
, u
76
−u
75
+· · ·+4u−8i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
6
=
−0.102300u
75
+ 0.0545226u
74
+ ··· − 6.18614u + 5.84511
−0.102495u
75
+ 0.214862u
74
+ ··· + 6.25886u − 0.890674
a
7
=
−0.204796u
75
+ 0.269385u
74
+ ··· + 0.0727163u + 4.95443
−0.102495u
75
+ 0.214862u
74
+ ··· + 6.25886u − 0.890674
a
2
=
0.108222u
75
− 0.118173u
74
+ ··· − 13.2901u − 1.23742
0.0265752u
75
− 0.118287u
74
+ ··· − 5.18142u − 0.132099
a
11
=
0.179021u
75
− 0.179939u
74
+ ··· − 9.84024u − 0.938082
0.0355776u
75
− 0.0834769u
74
+ ··· − 1.36926u − 0.250356
a
12
=
0.192907u
75
− 0.137353u
74
+ ··· − 9.43677u − 5.08532
0.0863896u
75
− 0.0566665u
74
+ ··· − 10.9587u − 0.256097
a
9
=
−u
u
3
+ u
a
5
=
u
2
+ 1
−u
4
− 2u
2
a
1
=
0.0664020u
75
− 0.174533u
74
+ ··· − 16.3898u − 1.57130
−0.0196414u
75
− 0.0913926u
74
+ ··· − 5.73736u − 0.0549055
a
8
=
0.272464u
75
− 0.292969u
74
+ ··· − 18.6154u − 3.01996
0.155586u
75
− 0.133803u
74
+ ··· − 10.7797u − 0.765404
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.175958u
75
− 0.0797037u
74
+ ··· + 21.9858u + 2.71207
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
76
+ 5u
75
+ ··· + 5251032u + 1662433
c
2
, c
6
u
76
− 20u
74
+ ··· − 13u + 1
c
3
, c
4
, c
9
u
76
+ u
75
+ ··· − 4u − 8
c
5
u
76
+ u
75
+ ··· − 39u + 19
c
7
, c
8
, c
11
c
12
u
76
− u
75
+ ··· − 122u − 19
c
10
u
76
− 4u
75
+ ··· + 14u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
76
− 39y
75
+ ··· − 83103653061344y + 2763683479489
c
2
, c
6
y
76
− 40y
75
+ ··· − 75y + 1
c
3
, c
4
, c
9
y
76
+ 83y
75
+ ··· + 1264y + 64
c
5
y
76
− 5y
75
+ ··· − 7791y + 361
c
7
, c
8
, c
11
c
12
y
76
− 97y
75
+ ··· − 10590y + 361
c
10
y
76
+ 60y
74
+ ··· − 172y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.301272 + 0.930495I
a = −0.150821 + 0.775050I
b = 1.183940 + 0.498727I
−7.96110 + 4.04129I 0
u = 0.301272 − 0.930495I
a = −0.150821 − 0.775050I
b = 1.183940 − 0.498727I
−7.96110 − 4.04129I 0
u = −0.776626 + 0.567863I
a = −1.77812 − 0.63034I
b = 1.176910 − 0.523415I
0.29651 − 8.26948I 0
u = −0.776626 − 0.567863I
a = −1.77812 + 0.63034I
b = 1.176910 + 0.523415I
0.29651 + 8.26948I 0
u = −0.847523 + 0.643030I
a = 1.086890 + 0.520197I
b = −1.037760 − 0.378007I
0.24259 + 2.84206I 0
u = −0.847523 − 0.643030I
a = 1.086890 − 0.520197I
b = −1.037760 + 0.378007I
0.24259 − 2.84206I 0
u = −0.710046 + 0.577141I
a = −0.119604 − 0.132006I
b = 0.240878 + 1.059360I
−11.37560 − 4.60303I −6.80265 + 0.I
u = −0.710046 − 0.577141I
a = −0.119604 + 0.132006I
b = 0.240878 − 1.059360I
−11.37560 + 4.60303I −6.80265 + 0.I
u = −0.122145 + 1.118440I
a = 0.78499 + 1.42762I
b = −0.862415 + 0.040383I
−3.52211 − 0.25493I 0
u = −0.122145 − 1.118440I
a = 0.78499 − 1.42762I
b = −0.862415 − 0.040383I
−3.52211 + 0.25493I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.406456 + 0.744068I
a = 1.14186 − 1.03625I
b = −0.925552 + 0.226684I
1.76999 − 1.00907I 2.09148 − 2.14646I
u = 0.406456 − 0.744068I
a = 1.14186 + 1.03625I
b = −0.925552 − 0.226684I
1.76999 + 1.00907I 2.09148 + 2.14646I
u = 0.950096 + 0.671778I
a = −1.49721 + 0.52951I
b = 1.229350 + 0.610141I
−8.31286 + 10.47230I 0
u = 0.950096 − 0.671778I
a = −1.49721 − 0.52951I
b = 1.229350 − 0.610141I
−8.31286 − 10.47230I 0
u = 0.169965 + 1.171850I
a = −0.395900 + 0.455510I
b = 1.34834 + 0.68368I
−8.01890 + 3.95701I 0
u = 0.169965 − 1.171850I
a = −0.395900 − 0.455510I
b = 1.34834 − 0.68368I
−8.01890 − 3.95701I 0
u = 0.803294
a = 1.44653
b = −1.47863
−4.69299 1.19240
u = 0.789691
a = 1.63403
b = −0.551119
−1.59784 −8.69720
u = −0.783581
a = 2.21801
b = −0.157298
−10.7466 −11.2370
u = 0.512045 + 0.531509I
a = −0.003817 + 0.248065I
b = 0.161163 − 0.847094I
−2.70752 + 3.32928I −6.27624 − 7.23745I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.512045 − 0.531509I
a = −0.003817 − 0.248065I
b = 0.161163 + 0.847094I
−2.70752 − 3.32928I −6.27624 + 7.23745I
u = 1.071010 + 0.678965I
a = 0.950965 − 0.378857I
b = −1.110750 + 0.472733I
−8.15172 − 3.82370I 0
u = 1.071010 − 0.678965I
a = 0.950965 + 0.378857I
b = −1.110750 − 0.472733I
−8.15172 + 3.82370I 0
u = −0.223516 + 1.262430I
a = −0.571485 − 0.884942I
b = 1.145130 − 0.712804I
−1.79598 − 3.34060I 0
u = −0.223516 − 1.262430I
a = −0.571485 + 0.884942I
b = 1.145130 + 0.712804I
−1.79598 + 3.34060I 0
u = 0.546836 + 0.411776I
a = −2.48447 + 0.89729I
b = 1.092580 + 0.407714I
2.63552 + 4.45849I 2.79752 − 6.64900I
u = 0.546836 − 0.411776I
a = −2.48447 − 0.89729I
b = 1.092580 − 0.407714I
2.63552 − 4.45849I 2.79752 + 6.64900I
u = −0.642650 + 0.227533I
a = 2.05134 + 0.87646I
b = 0.062140 + 0.342103I
−10.74520 − 0.02289I −9.54952 − 0.49322I
u = −0.642650 − 0.227533I
a = 2.05134 − 0.87646I
b = 0.062140 − 0.342103I
−10.74520 + 0.02289I −9.54952 + 0.49322I
u = −0.067601 + 1.338650I
a = −0.787894 − 0.164053I
b = 1.348590 − 0.183843I
−1.77410 − 1.95331I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.067601 − 1.338650I
a = −0.787894 + 0.164053I
b = 1.348590 + 0.183843I
−1.77410 + 1.95331I 0
u = −0.063904 + 0.655723I
a = 0.629348 − 0.569483I
b = 0.838089 − 0.268306I
−0.65753 − 1.80944I −6.25762 + 5.56390I
u = −0.063904 − 0.655723I
a = 0.629348 + 0.569483I
b = 0.838089 + 0.268306I
−0.65753 + 1.80944I −6.25762 − 5.56390I
u = 0.083384 + 1.380440I
a = −0.327507 + 0.955301I
b = 1.12997 + 0.91352I
−3.01556 + 3.75046I 0
u = 0.083384 − 1.380440I
a = −0.327507 − 0.955301I
b = 1.12997 − 0.91352I
−3.01556 − 3.75046I 0
u = −0.604756 + 0.005334I
a = 1.79141 + 0.05856I
b = −1.138290 + 0.228148I
2.07647 − 0.27911I 4.81259 − 2.39158I
u = −0.604756 − 0.005334I
a = 1.79141 − 0.05856I
b = −1.138290 − 0.228148I
2.07647 + 0.27911I 4.81259 + 2.39158I
u = 0.549686
a = 1.57697
b = −0.170519
−1.64568 −6.18920
u = −0.275544 + 0.445603I
a = 0.499599 − 0.378693I
b = 0.071648 + 0.410281I
−0.007012 − 1.042730I −0.28024 + 6.10679I
u = −0.275544 − 0.445603I
a = 0.499599 + 0.378693I
b = 0.071648 − 0.410281I
−0.007012 + 1.042730I −0.28024 − 6.10679I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.29973 + 1.45067I
a = −1.099410 + 0.614366I
b = 0.975981 + 0.422982I
−6.74604 + 4.17883I 0
u = 0.29973 − 1.45067I
a = −1.099410 − 0.614366I
b = 0.975981 − 0.422982I
−6.74604 − 4.17883I 0
u = −0.05425 + 1.48830I
a = 1.04203 + 1.48061I
b = −1.016840 + 0.455138I
−6.76022 − 1.59431I 0
u = −0.05425 − 1.48830I
a = 1.04203 − 1.48061I
b = −1.016840 − 0.455138I
−6.76022 + 1.59431I 0
u = −0.02144 + 1.49751I
a = −0.234003 − 0.908984I
b = 1.15010 − 1.02860I
−11.48080 − 4.04250I 0
u = −0.02144 − 1.49751I
a = −0.234003 + 0.908984I
b = 1.15010 + 1.02860I
−11.48080 + 4.04250I 0
u = −0.08422 + 1.50043I
a = 0.82646 − 1.61332I
b = −0.820930 − 0.456119I
−16.7189 − 1.7521I 0
u = −0.08422 − 1.50043I
a = 0.82646 + 1.61332I
b = −0.820930 + 0.456119I
−16.7189 + 1.7521I 0
u = 0.16069 + 1.50054I
a = 1.08147 − 1.21080I
b = −1.160330 − 0.534577I
−3.69831 + 6.96075I 0
u = 0.16069 − 1.50054I
a = 1.08147 + 1.21080I
b = −1.160330 + 0.534577I
−3.69831 − 6.96075I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.05735 + 1.50893I
a = −0.293801 − 0.276830I
b = −0.152043 − 0.794423I
−6.56407 − 2.10121I 0
u = −0.05735 − 1.50893I
a = −0.293801 + 0.276830I
b = −0.152043 + 0.794423I
−6.56407 + 2.10121I 0
u = 0.16818 + 1.52267I
a = −0.231387 + 0.325071I
b = −0.332142 + 1.102730I
−9.48501 + 5.84613I 0
u = 0.16818 − 1.52267I
a = −0.231387 − 0.325071I
b = −0.332142 − 1.102730I
−9.48501 − 5.84613I 0
u = −0.01840 + 1.57131I
a = −0.557579 + 0.464452I
b = −0.585914 + 0.385750I
−8.17034 − 2.09468I 0
u = −0.01840 − 1.57131I
a = −0.557579 − 0.464452I
b = −0.585914 − 0.385750I
−8.17034 + 2.09468I 0
u = −0.25000 + 1.55224I
a = 0.96650 + 1.06969I
b = −1.223910 + 0.647769I
−6.66209 − 12.00420I 0
u = −0.25000 − 1.55224I
a = 0.96650 − 1.06969I
b = −1.223910 − 0.647769I
−6.66209 + 12.00420I 0
u = −0.25184 + 1.55488I
a = −0.201337 − 0.338249I
b = −0.471945 − 1.250080I
−18.3759 − 8.1937I 0
u = −0.25184 − 1.55488I
a = −0.201337 + 0.338249I
b = −0.471945 + 1.250080I
−18.3759 + 8.1937I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.09185 + 1.63177I
a = −0.321675 − 0.710395I
b = −0.867349 − 0.470399I
−16.5562 + 5.5782I 0
u = 0.09185 − 1.63177I
a = −0.321675 + 0.710395I
b = −0.867349 + 0.470399I
−16.5562 − 5.5782I 0
u = −0.38724 + 1.58875I
a = −1.29378 − 0.74570I
b = 0.808299 − 0.437665I
−16.6346 − 5.1140I 0
u = −0.38724 − 1.58875I
a = −1.29378 + 0.74570I
b = 0.808299 + 0.437665I
−16.6346 + 5.1140I 0
u = −0.13539 + 1.63639I
a = −0.216828 + 0.055600I
b = 0.647173 + 0.330956I
−7.91994 − 0.77322I 0
u = −0.13539 − 1.63639I
a = −0.216828 − 0.055600I
b = 0.647173 − 0.330956I
−7.91994 + 0.77322I 0
u = 0.31387 + 1.61627I
a = 0.873443 − 1.007800I
b = −1.25014 − 0.74147I
−15.8002 + 15.1438I 0
u = 0.31387 − 1.61627I
a = 0.873443 + 1.007800I
b = −1.25014 + 0.74147I
−15.8002 − 15.1438I 0
u = −0.169958 + 0.261458I
a = −4.41670 − 4.26044I
b = 0.880574 − 0.265951I
−0.726457 − 0.785371I −6.43366 + 8.53278I
u = −0.169958 − 0.261458I
a = −4.41670 + 4.26044I
b = 0.880574 + 0.265951I
−0.726457 + 0.785371I −6.43366 − 8.53278I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.275955 + 0.067448I
a = 2.92659 − 0.88521I
b = −1.094950 − 0.576332I
1.75321 + 2.55068I 4.02344 − 10.63288I
u = 0.275955 − 0.067448I
a = 2.92659 + 0.88521I
b = −1.094950 + 0.576332I
1.75321 − 2.55068I 4.02344 + 10.63288I
u = −0.045119 + 0.271744I
a = 0.57010 + 2.42374I
b = −1.14455 + 0.89843I
−5.33747 − 3.77193I 0.82553 + 8.23011I
u = −0.045119 − 0.271744I
a = 0.57010 − 2.42374I
b = −1.14455 − 0.89843I
−5.33747 + 3.77193I 0.82553 − 8.23011I
u = 0.27864 + 1.72170I
a = −0.177452 − 0.047796I
b = 0.883732 − 0.445558I
−16.3787 + 1.4352I 0
u = 0.27864 − 1.72170I
a = −0.177452 + 0.047796I
b = 0.883732 + 0.445558I
−16.3787 − 1.4352I 0
12
II.
I
u
2
= h−u
16
−9u
14
+· · ·+b+1, u
16
+u
15
+· · ·+a−2, u
17
+10u
15
+· · ·−2u+1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
6
=
−u
16
− u
15
+ ··· − 8u
3
+ 2
u
16
+ 9u
14
+ ··· + u − 1
a
7
=
−u
15
− u
14
+ ··· + u + 1
u
16
+ 9u
14
+ ··· + u − 1
a
2
=
u
16
+ 10u
14
+ ··· + u − 1
u
16
− u
15
+ ··· − 4u
2
+ 2u
a
11
=
−u
14
− u
13
+ ··· − 2u + 1
u
15
+ u
14
+ ··· + u
3
+ u
a
12
=
−u
16
− u
15
+ ··· − u − 1
−u
16
− u
15
+ ··· + 3u − 1
a
9
=
−u
u
3
+ u
a
5
=
u
2
+ 1
−u
4
− 2u
2
a
1
=
u
16
+ 10u
14
+ ··· + u − 1
−u
15
− u
14
+ ··· − 2u
2
+ u
a
8
=
−2u
16
− u
15
+ ··· − 2u + 1
−2u
16
− u
15
+ ··· + 3u
2
− 2u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −7u
16
+ 2u
15
− 61u
14
+ 16u
13
− 204u
12
+ 39u
11
− 318u
10
+
11u
9
− 216u
8
− 74u
7
− 34u
6
− 88u
5
+ 20u
4
− 32u
3
+ 17u
2
− 11u + 2
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
+ 3u
15
+ ··· + 2u − 1
c
2
u
17
− 3u
16
+ ··· − 3u + 1
c
3
, c
4
u
17
+ 10u
15
+ ··· − 2u + 1
c
5
u
17
+ 2u
14
+ ··· + u + 1
c
6
u
17
+ 3u
16
+ ··· − 3u − 1
c
7
, c
8
u
17
− 12u
15
+ ··· + 2u + 1
c
9
u
17
+ 10u
15
+ ··· − 2u − 1
c
10
u
17
− 3u
16
+ ··· − 2u + 1
c
11
, c
12
u
17
− 12u
15
+ ··· + 2u − 1
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
17
+ 6y
16
+ ··· − 6y −1
c
2
, c
6
y
17
− 11y
16
+ ··· + 17y −1
c
3
, c
4
, c
9
y
17
+ 20y
16
+ ··· − 2y −1
c
5
y
17
− 6y
15
+ ··· − 3y −1
c
7
, c
8
, c
11
c
12
y
17
− 24y
16
+ ··· + 16y −1
c
10
y
17
− 3y
16
+ ··· + 6y −1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.139852 + 1.214420I
a = −0.441985 + 0.675736I
b = 1.41103 + 1.05280I
−7.82761 + 4.71969I −3.03630 − 8.97868I
u = 0.139852 − 1.214420I
a = −0.441985 − 0.675736I
b = 1.41103 − 1.05280I
−7.82761 − 4.71969I −3.03630 + 8.97868I
u = −0.770505
a = 3.24311
b = −0.627479
−10.2732 6.21040
u = 0.313732 + 0.658301I
a = 0.790014 − 0.247073I
b = −1.085060 + 0.673907I
−5.69788 − 3.06986I −4.15450 − 0.28299I
u = 0.313732 − 0.658301I
a = 0.790014 + 0.247073I
b = −1.085060 − 0.673907I
−5.69788 + 3.06986I −4.15450 + 0.28299I
u = −0.150767 + 1.264220I
a = −0.527362 − 0.894224I
b = 1.20771 − 0.79995I
−1.50192 − 3.71423I 3.27081 + 10.07592I
u = −0.150767 − 1.264220I
a = −0.527362 + 0.894224I
b = 1.20771 + 0.79995I
−1.50192 + 3.71423I 3.27081 − 10.07592I
u = 0.155556 + 1.352930I
a = −0.52002 + 1.33989I
b = 0.974685 + 0.508862I
−4.53369 + 2.21494I −4.95135 − 2.79789I
u = 0.155556 − 1.352930I
a = −0.52002 − 1.33989I
b = 0.974685 − 0.508862I
−4.53369 − 2.21494I −4.95135 + 2.79789I
u = −0.344357 + 0.507264I
a = 1.110850 + 0.838168I
b = −0.997031 − 0.404432I
1.30810 + 1.91528I −2.43691 − 2.56388I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.344357 − 0.507264I
a = 1.110850 − 0.838168I
b = −0.997031 + 0.404432I
1.30810 − 1.91528I −2.43691 + 2.56388I
u = 0.413428 + 0.204442I
a = 3.32259 − 1.68034I
b = −0.866225 + 0.129684I
−0.437743 − 0.271791I 1.03671 − 2.69788I
u = 0.413428 − 0.204442I
a = 3.32259 + 1.68034I
b = −0.866225 − 0.129684I
−0.437743 + 0.271791I 1.03671 + 2.69788I
u = 0.06863 + 1.60082I
a = 0.023930 + 0.508617I
b = 0.629370 + 0.088764I
−7.42886 + 1.63142I −1.52360 − 3.06037I
u = 0.06863 − 1.60082I
a = 0.023930 − 0.508617I
b = 0.629370 − 0.088764I
−7.42886 − 1.63142I −1.52360 + 3.06037I
u = −0.21082 + 1.61302I
a = −0.379564 − 1.071330I
b = 0.539259 − 0.235493I
−16.4469 − 3.7909I −6.31007 + 0.92878I
u = −0.21082 − 1.61302I
a = −0.379564 + 1.071330I
b = 0.539259 + 0.235493I
−16.4469 + 3.7909I −6.31007 − 0.92878I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
+ 3u
15
+ ··· + 2u − 1)(u
76
+ 5u
75
+ ··· + 5251032u + 1662433)
c
2
(u
17
− 3u
16
+ ··· − 3u + 1)(u
76
− 20u
74
+ ··· − 13u + 1)
c
3
, c
4
(u
17
+ 10u
15
+ ··· − 2u + 1)(u
76
+ u
75
+ ··· − 4u − 8)
c
5
(u
17
+ 2u
14
+ ··· + u + 1)(u
76
+ u
75
+ ··· − 39u + 19)
c
6
(u
17
+ 3u
16
+ ··· − 3u − 1)(u
76
− 20u
74
+ ··· − 13u + 1)
c
7
, c
8
(u
17
− 12u
15
+ ··· + 2u + 1)(u
76
− u
75
+ ··· − 122u − 19)
c
9
(u
17
+ 10u
15
+ ··· − 2u − 1)(u
76
+ u
75
+ ··· − 4u − 8)
c
10
(u
17
− 3u
16
+ ··· − 2u + 1)(u
76
− 4u
75
+ ··· + 14u + 1)
c
11
, c
12
(u
17
− 12u
15
+ ··· + 2u − 1)(u
76
− u
75
+ ··· − 122u − 19)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
17
+ 6y
16
+ ··· − 6y −1)
· (y
76
− 39y
75
+ ··· − 83103653061344y + 2763683479489)
c
2
, c
6
(y
17
− 11y
16
+ ··· + 17y −1)(y
76
− 40y
75
+ ··· − 75y + 1)
c
3
, c
4
, c
9
(y
17
+ 20y
16
+ ··· − 2y −1)(y
76
+ 83y
75
+ ··· + 1264y + 64)
c
5
(y
17
− 6y
15
+ ··· − 3y −1)(y
76
− 5y
75
+ ··· − 7791y + 361)
c
7
, c
8
, c
11
c
12
(y
17
− 24y
16
+ ··· + 16y −1)(y
76
− 97y
75
+ ··· − 10590y + 361)
c
10
(y
17
− 3y
16
+ ··· + 6y −1)(y
76
+ 60y
74
+ ··· − 172y + 1)
19
