12a
0173
(K12a
0173
)
A knot diagram
1
Linearized knot diagam
3 5 9 6 2 10 11 12 4 1 8 7
Solving Sequence
2,5
3
6,10
7 1 11 4 9 12 8
c
2
c
5
c
6
c
1
c
10
c
4
c
9
c
12
c
8
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h222u
93
− 751u
92
+ ··· + 16b + 223, 333u
93
− 1867u
92
+ ··· + 16a − 288, u
94
− 6u
93
+ ··· − 7u + 1i
I
u
2
= h−au + b − a, a
5
− a
4
u − 2a
3
u − 2a
3
− a
2
+ au + u + 1, u
2
+ u + 1i
* 2 irreducible components of dim
C
= 0, with total 104 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
= h222u
93
− 751u
92
+ · · · + 16b + 223, 333u
93
− 1867u
92
+ · · · + 16a −
288, u
94
− 6u
93
+ · · · − 7u + 1i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
3
=
1
−u
2
a
6
=
u
u
a
10
=
−20.8125u
93
+ 116.688u
92
+ ··· − 123.813u + 18
−13.8750u
93
+ 46.9375u
92
+ ··· + 67.8750u − 13.9375
a
7
=
1
16
u
93
−
3
8
u
92
+ ··· +
7
16
u −
17
16
0.0625000u
93
− 0.312500u
92
+ ··· + 2.62500u
2
+ 2.06250u
a
1
=
u
2
+ 1
−u
4
a
11
=
−
655
8
u
93
+ 450u
92
+ ··· −
3365
8
u +
481
8
−79.1875u
93
+ 363.500u
92
+ ··· − 71.1875u + 1.18750
a
4
=
u
3
u
3
+ u
a
9
=
−65.9375u
93
+ 362.563u
92
+ ··· − 346.688u + 50
−60.1250u
93
+ 267.563u
92
+ ··· − 15.1250u − 5.81250
a
12
=
3
8
u
93
−
9
16
u
92
+ ··· −
43
8
u +
37
16
−1.43750u
93
+ 8.93750u
92
+ ··· − 12.5625u + 1.87500
a
8
=
−0.812500u
93
+ 1.75000u
92
+ ··· + 10.8125u − 2.31250
9
8
u
93
−
67
8
u
92
+ ··· +
153
8
u −
23
8
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
629
16
u
93
+
2099
16
u
92
+ ··· +
3621
16
u −
87
2
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
94
+ 30u
93
+ ··· − u + 1
c
2
, c
5
u
94
+ 6u
93
+ ··· + 7u + 1
c
3
, c
9
u
94
+ u
93
+ ··· + 3072u + 1024
c
6
u
94
− 3u
93
+ ··· − 87286u + 32129
c
7
, c
8
, c
11
u
94
+ 3u
93
+ ··· − 2u + 1
c
10
u
94
+ 21u
93
+ ··· + 36030u + 2513
c
12
u
94
− 9u
93
+ ··· − 6u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
94
+ 74y
93
+ ··· + 351y + 1
c
2
, c
5
y
94
+ 30y
93
+ ··· − y + 1
c
3
, c
9
y
94
− 55y
93
+ ··· − 14680064y + 1048576
c
6
y
94
− 37y
93
+ ··· + 47515546332y + 1032272641
c
7
, c
8
, c
11
y
94
− 85y
93
+ ··· + 8y + 1
c
10
y
94
+ 23y
93
+ ··· + 134228996y + 6315169
c
12
y
94
− y
93
+ ··· − 4y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.670150 + 0.687540I
a = 1.51532 − 0.23955I
b = 1.43637 + 0.41065I
−3.59197 − 3.38028I 0
u = −0.670150 − 0.687540I
a = 1.51532 + 0.23955I
b = 1.43637 − 0.41065I
−3.59197 + 3.38028I 0
u = 0.028187 + 0.943205I
a = 0.485350 − 1.000310I
b = −0.859995 − 0.725734I
−8.40957 − 3.13792I 0
u = 0.028187 − 0.943205I
a = 0.485350 + 1.000310I
b = −0.859995 + 0.725734I
−8.40957 + 3.13792I 0
u = −0.148866 + 1.063320I
a = 0.294932 + 0.195503I
b = −0.709994 − 0.403961I
−7.43720 − 1.60373I 0
u = −0.148866 − 1.063320I
a = 0.294932 − 0.195503I
b = −0.709994 + 0.403961I
−7.43720 + 1.60373I 0
u = −0.227030 + 1.053750I
a = 0.164857 − 0.261042I
b = 0.835518 + 0.426311I
−1.39198 − 3.10591I 0
u = −0.227030 − 1.053750I
a = 0.164857 + 0.261042I
b = 0.835518 − 0.426311I
−1.39198 + 3.10591I 0
u = −0.516749 + 0.947808I
a = 0.371632 + 0.718636I
b = 0.054881 + 0.933589I
−0.12135 − 2.69520I 0
u = −0.516749 − 0.947808I
a = 0.371632 − 0.718636I
b = 0.054881 − 0.933589I
−0.12135 + 2.69520I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.681660 + 0.840872I
a = 1.284810 − 0.135715I
b = 0.30599 − 1.51899I
−4.62497 − 2.25618I 0
u = 0.681660 − 0.840872I
a = 1.284810 + 0.135715I
b = 0.30599 + 1.51899I
−4.62497 + 2.25618I 0
u = 0.820354 + 0.710067I
a = 1.19044 + 1.34503I
b = 1.63767 − 0.08811I
−0.86724 − 1.44181I 0
u = 0.820354 − 0.710067I
a = 1.19044 − 1.34503I
b = 1.63767 + 0.08811I
−0.86724 + 1.44181I 0
u = −0.301226 + 1.064560I
a = 0.572796 − 0.267999I
b = 0.945557 + 0.533013I
−1.28046 − 3.45860I 0
u = −0.301226 − 1.064560I
a = 0.572796 + 0.267999I
b = 0.945557 − 0.533013I
−1.28046 + 3.45860I 0
u = −0.773091 + 0.795511I
a = −2.04021 + 1.13036I
b = −2.43499 + 0.17340I
−1.66418 + 4.07578I 0
u = −0.773091 − 0.795511I
a = −2.04021 − 1.13036I
b = −2.43499 − 0.17340I
−1.66418 − 4.07578I 0
u = 0.707009 + 0.855951I
a = −0.916465 + 0.148403I
b = −0.029416 + 1.238170I
1.39464 + 0.74314I 0
u = 0.707009 − 0.855951I
a = −0.916465 − 0.148403I
b = −0.029416 − 1.238170I
1.39464 − 0.74314I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.758040 + 0.817422I
a = 1.84855 − 1.28828I
b = 2.31971 − 0.42290I
3.44140 + 0.58481I 0
u = −0.758040 − 0.817422I
a = 1.84855 + 1.28828I
b = 2.31971 + 0.42290I
3.44140 − 0.58481I 0
u = 0.129795 + 0.870515I
a = −0.20956 + 1.60326I
b = 1.21590 + 0.76608I
−7.30094 + 5.76750I 0
u = 0.129795 − 0.870515I
a = −0.20956 − 1.60326I
b = 1.21590 − 0.76608I
−7.30094 − 5.76750I 0
u = −0.390296 + 1.052370I
a = −0.917390 − 0.070137I
b = −0.916064 − 0.825313I
1.057540 − 0.415655I 0
u = −0.390296 − 1.052370I
a = −0.917390 + 0.070137I
b = −0.916064 + 0.825313I
1.057540 + 0.415655I 0
u = 0.881750 + 0.696556I
a = −1.30206 − 1.74356I
b = −2.09845 − 0.37324I
2.09884 − 10.39320I 0
u = 0.881750 − 0.696556I
a = −1.30206 + 1.74356I
b = −2.09845 + 0.37324I
2.09884 + 10.39320I 0
u = 0.861955 + 0.728574I
a = −1.04499 − 1.61989I
b = −1.66754 − 0.38829I
5.87498 − 2.63356I 0
u = 0.861955 − 0.728574I
a = −1.04499 + 1.61989I
b = −1.66754 + 0.38829I
5.87498 + 2.63356I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877643 + 0.710110I
a = 1.19562 + 1.73143I
b = 1.94503 + 0.42864I
7.48515 − 6.65000I 0
u = 0.877643 − 0.710110I
a = 1.19562 − 1.73143I
b = 1.94503 − 0.42864I
7.48515 + 6.65000I 0
u = −0.222597 + 1.109100I
a = −0.114066 + 0.610663I
b = −0.877550 − 0.310159I
0.03457 − 6.69622I 0
u = −0.222597 − 1.109100I
a = −0.114066 − 0.610663I
b = −0.877550 + 0.310159I
0.03457 + 6.69622I 0
u = 0.682317 + 0.903998I
a = −0.830811 + 0.899927I
b = 0.57217 + 1.71044I
−4.82787 + 7.52028I 0
u = 0.682317 − 0.903998I
a = −0.830811 − 0.899927I
b = 0.57217 − 1.71044I
−4.82787 − 7.52028I 0
u = 0.005767 + 0.865357I
a = −0.095106 + 1.029290I
b = 0.952216 + 0.583554I
−2.52879 − 0.93392I 0
u = 0.005767 − 0.865357I
a = −0.095106 − 1.029290I
b = 0.952216 − 0.583554I
−2.52879 + 0.93392I 0
u = 0.706391 + 0.890180I
a = 0.661512 − 0.528645I
b = −0.436068 − 1.333350I
1.28701 + 4.67596I 0
u = 0.706391 − 0.890180I
a = 0.661512 + 0.528645I
b = −0.436068 + 1.333350I
1.28701 − 4.67596I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.717761 + 0.883186I
a = −1.20707 + 1.68520I
b = −1.88096 + 1.10363I
1.33806 − 2.75239I 0
u = −0.717761 − 0.883186I
a = −1.20707 − 1.68520I
b = −1.88096 − 1.10363I
1.33806 + 2.75239I 0
u = −0.737938 + 0.867429I
a = −1.46729 + 1.65641I
b = −2.11782 + 0.95891I
1.36896 − 2.79585I 0
u = −0.737938 − 0.867429I
a = −1.46729 − 1.65641I
b = −2.11782 − 0.95891I
1.36896 + 2.79585I 0
u = −0.208400 + 1.126740I
a = −0.004628 − 0.735193I
b = 0.850790 + 0.246650I
−5.32826 − 10.21790I 0
u = −0.208400 − 1.126740I
a = −0.004628 + 0.735193I
b = 0.850790 − 0.246650I
−5.32826 + 10.21790I 0
u = −0.524352 + 1.021570I
a = −0.860237 − 0.944500I
b = −0.35864 − 1.40193I
−5.23793 − 4.84037I 0
u = −0.524352 − 1.021570I
a = −0.860237 + 0.944500I
b = −0.35864 + 1.40193I
−5.23793 + 4.84037I 0
u = 0.866098 + 0.763349I
a = −0.74715 − 1.63566I
b = −1.30988 − 0.62048I
6.43442 − 2.50562I 0
u = 0.866098 − 0.763349I
a = −0.74715 + 1.63566I
b = −1.30988 + 0.62048I
6.43442 + 2.50562I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.095033 + 0.837949I
a = 0.04708 − 1.43600I
b = −1.161730 − 0.628848I
−1.75593 + 2.53049I 0
u = 0.095033 − 0.837949I
a = 0.04708 + 1.43600I
b = −1.161730 + 0.628848I
−1.75593 − 2.53049I 0
u = −0.424352 + 1.076360I
a = 1.157350 + 0.174838I
b = 0.99354 + 1.01112I
−4.02052 + 2.87938I 0
u = −0.424352 − 1.076360I
a = 1.157350 − 0.174838I
b = 0.99354 − 1.01112I
−4.02052 − 2.87938I 0
u = −0.658896 + 0.954952I
a = 0.25075 − 1.81159I
b = 1.04116 − 1.64540I
−4.36826 − 1.76808I 0
u = −0.658896 − 0.954952I
a = 0.25075 + 1.81159I
b = 1.04116 + 1.64540I
−4.36826 + 1.76808I 0
u = 0.860409 + 0.792585I
a = 0.47498 + 1.53086I
b = 0.921903 + 0.686814I
9.09436 + 1.27268I 0
u = 0.860409 − 0.792585I
a = 0.47498 − 1.53086I
b = 0.921903 − 0.686814I
9.09436 − 1.27268I 0
u = 0.856194 + 0.815572I
a = −0.24752 − 1.42122I
b = −0.597569 − 0.719094I
4.41649 + 4.98775I 0
u = 0.856194 − 0.815572I
a = −0.24752 + 1.42122I
b = −0.597569 + 0.719094I
4.41649 − 4.98775I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.737336 + 0.926535I
a = 1.10299 − 2.19955I
b = 2.00654 − 1.63952I
3.10639 − 6.25660I 0
u = −0.737336 − 0.926535I
a = 1.10299 + 2.19955I
b = 2.00654 + 1.63952I
3.10639 + 6.25660I 0
u = −0.739971 + 0.944705I
a = −0.99082 + 2.39371I
b = −1.98203 + 1.87142I
−2.12113 − 9.79929I 0
u = −0.739971 − 0.944705I
a = −0.99082 − 2.39371I
b = −1.98203 − 1.87142I
−2.12113 + 9.79929I 0
u = −0.460070 + 0.644601I
a = −0.981985 − 0.230514I
b = −0.782718 − 0.369925I
0.76337 − 1.37281I 5.90020 + 4.40804I
u = −0.460070 − 0.644601I
a = −0.981985 + 0.230514I
b = −0.782718 + 0.369925I
0.76337 + 1.37281I 5.90020 − 4.40804I
u = −0.778683 + 0.137337I
a = −0.712517 − 0.452447I
b = 0.847873 − 0.744073I
−1.07737 − 7.05448I 2.24170 + 5.60574I
u = −0.778683 − 0.137337I
a = −0.712517 + 0.452447I
b = 0.847873 + 0.744073I
−1.07737 + 7.05448I 2.24170 − 5.60574I
u = −0.760762 + 0.101349I
a = 0.717928 + 0.321797I
b = −0.838743 + 0.523922I
4.07426 − 3.50683I 7.35202 + 4.80092I
u = −0.760762 − 0.101349I
a = 0.717928 − 0.321797I
b = −0.838743 − 0.523922I
4.07426 + 3.50683I 7.35202 − 4.80092I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.735624 + 1.009360I
a = 0.89651 + 1.66114I
b = 2.23298 + 1.26801I
−1.78001 + 7.28363I 0
u = 0.735624 − 1.009360I
a = 0.89651 − 1.66114I
b = 2.23298 − 1.26801I
−1.78001 − 7.28363I 0
u = 0.799634 + 0.960875I
a = −1.093490 − 0.304083I
b = −1.70422 − 0.08876I
3.96230 + 1.16547I 0
u = 0.799634 − 0.960875I
a = −1.093490 + 0.304083I
b = −1.70422 + 0.08876I
3.96230 − 1.16547I 0
u = 0.790634 + 0.978809I
a = 1.222190 + 0.622146I
b = 1.97666 + 0.28955I
8.51444 + 4.86478I 0
u = 0.790634 − 0.978809I
a = 1.222190 − 0.622146I
b = 1.97666 − 0.28955I
8.51444 − 4.86478I 0
u = 0.780705 + 0.998864I
a = −1.35648 − 0.99279I
b = −2.27006 − 0.52715I
5.70442 + 8.62660I 0
u = 0.780705 − 0.998864I
a = −1.35648 + 0.99279I
b = −2.27006 + 0.52715I
5.70442 − 8.62660I 0
u = 0.760688 + 1.015770I
a = −1.30322 − 1.45901I
b = −2.44837 − 0.92304I
4.98657 + 8.67496I 0
u = 0.760688 − 1.015770I
a = −1.30322 + 1.45901I
b = −2.44837 + 0.92304I
4.98657 − 8.67496I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.722300 + 0.014530I
a = −0.781532 − 0.041951I
b = 0.742160 − 0.066804I
2.12360 − 0.00608I 4.54516 − 0.30055I
u = −0.722300 − 0.014530I
a = −0.781532 + 0.041951I
b = 0.742160 + 0.066804I
2.12360 + 0.00608I 4.54516 + 0.30055I
u = 0.760541 + 1.030980I
a = 1.48255 + 1.66923I
b = 2.68333 + 1.00565I
6.4926 + 12.7332I 0
u = 0.760541 − 1.030980I
a = 1.48255 − 1.66923I
b = 2.68333 − 1.00565I
6.4926 − 12.7332I 0
u = 0.756313 + 1.038710I
a = −1.51396 − 1.82875I
b = −2.77753 − 1.11565I
1.0412 + 16.4719I 0
u = 0.756313 − 1.038710I
a = −1.51396 + 1.82875I
b = −2.77753 + 1.11565I
1.0412 − 16.4719I 0
u = −0.585200 + 0.297480I
a = 1.221580 + 0.461509I
b = 0.173343 + 0.683235I
−3.34282 + 0.54984I −0.040630 + 1.106990I
u = −0.585200 − 0.297480I
a = 1.221580 − 0.461509I
b = 0.173343 − 0.683235I
−3.34282 − 0.54984I −0.040630 − 1.106990I
u = 0.061423 + 0.558350I
a = 0.79099 + 1.29367I
b = 1.011230 + 0.039242I
−2.80374 + 0.56424I −2.87695 + 0.40186I
u = 0.061423 − 0.558350I
a = 0.79099 − 1.29367I
b = 1.011230 − 0.039242I
−2.80374 − 0.56424I −2.87695 − 0.40186I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.350629 + 0.139994I
a = 0.47125 + 1.44033I
b = 0.429853 − 1.025940I
−5.26747 − 4.05421I −4.34818 + 4.22545I
u = 0.350629 − 0.139994I
a = 0.47125 − 1.44033I
b = 0.429853 + 1.025940I
−5.26747 + 4.05421I −4.34818 − 4.22545I
u = 0.207313 + 0.143702I
a = −0.68341 − 1.86348I
b = −0.371998 + 0.632450I
−0.010818 − 1.279380I 0.07288 + 5.41961I
u = 0.207313 − 0.143702I
a = −0.68341 + 1.86348I
b = −0.371998 − 0.632450I
−0.010818 + 1.279380I 0.07288 − 5.41961I
14
II. I
u
2
= h−au + b − a, a
5
− a
4
u − 2a
3
u − 2a
3
− a
2
+ au + u + 1, u
2
+ u + 1i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
3
=
1
u + 1
a
6
=
u
u
a
10
=
a
au + a
a
7
=
a
2
u + a
2
+ u
a
2
u + u
a
1
=
−u
−u
a
11
=
2a
au + 2a
a
4
=
1
u + 1
a
9
=
a
au + a
a
12
=
a
4
+ a
2
u + a
2
− u
a
4
u + a
4
+ a
2
u + a
2
− u
a
8
=
2a
4
− a
2
u − a
2
+ u
a
4
u + 2a
4
− a
2
u − a
2
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −a
4
+ 4a
3
− 3a
2
u − 4au − 5a + 4u − 2
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
5
(u
2
− u + 1)
5
c
2
(u
2
+ u + 1)
5
c
3
, c
9
u
10
c
6
, c
10
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
2
c
7
, c
8
(u
5
+ u
4
− 2u
3
− u
2
+ u − 1)
2
c
11
(u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
2
c
12
(u
5
+ 3u
4
+ 4u
3
+ u
2
− u − 1)
2
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
5
(y
2
+ y + 1)
5
c
3
, c
9
y
10
c
6
, c
10
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y − 1)
2
c
7
, c
8
, c
11
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y − 1)
2
c
12
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y − 1)
2
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 0.881753 + 0.117510I
b = 0.339110 + 0.822375I
−0.32910 − 3.56046I 0.01046 + 8.35149I
u = −0.500000 + 0.866025I
a = −0.542643 − 0.704866I
b = 0.339110 − 0.822375I
−0.329100 − 0.499304I −2.49844 − 0.84282I
u = −0.500000 + 0.866025I
a = −0.383413 + 0.664091I
b = −0.766826
−2.40108 − 2.02988I −0.33682 + 2.50057I
u = −0.500000 + 0.866025I
a = 0.811514 + 0.994721I
b = −0.455697 + 1.200150I
−5.87256 − 6.43072I −4.29156 + 5.94266I
u = −0.500000 + 0.866025I
a = −1.267210 − 0.205431I
b = −0.455697 − 1.200150I
−5.87256 + 2.37095I −6.88365 − 0.36343I
u = −0.500000 − 0.866025I
a = 0.881753 − 0.117510I
b = 0.339110 − 0.822375I
−0.32910 + 3.56046I 0.01046 − 8.35149I
u = −0.500000 − 0.866025I
a = −0.542643 + 0.704866I
b = 0.339110 + 0.822375I
−0.329100 + 0.499304I −2.49844 + 0.84282I
u = −0.500000 − 0.866025I
a = −0.383413 − 0.664091I
b = −0.766826
−2.40108 + 2.02988I −0.33682 − 2.50057I
u = −0.500000 − 0.866025I
a = 0.811514 − 0.994721I
b = −0.455697 − 1.200150I
−5.87256 + 6.43072I −4.29156 − 5.94266I
u = −0.500000 − 0.866025I
a = −1.267210 + 0.205431I
b = −0.455697 + 1.200150I
−5.87256 − 2.37095I −6.88365 + 0.36343I
18
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
4
((u
2
− u + 1)
5
)(u
94
+ 30u
93
+ ··· − u + 1)
c
2
((u
2
+ u + 1)
5
)(u
94
+ 6u
93
+ ··· + 7u + 1)
c
3
, c
9
u
10
(u
94
+ u
93
+ ··· + 3072u + 1024)
c
5
((u
2
− u + 1)
5
)(u
94
+ 6u
93
+ ··· + 7u + 1)
c
6
((u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
2
)(u
94
− 3u
93
+ ··· − 87286u + 32129)
c
7
, c
8
((u
5
+ u
4
− 2u
3
− u
2
+ u − 1)
2
)(u
94
+ 3u
93
+ ··· − 2u + 1)
c
10
((u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
2
)(u
94
+ 21u
93
+ ··· + 36030u + 2513)
c
11
((u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
2
)(u
94
+ 3u
93
+ ··· − 2u + 1)
c
12
((u
5
+ 3u
4
+ 4u
3
+ u
2
− u − 1)
2
)(u
94
− 9u
93
+ ··· − 6u + 1)
19
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
((y
2
+ y + 1)
5
)(y
94
+ 74y
93
+ ··· + 351y + 1)
c
2
, c
5
((y
2
+ y + 1)
5
)(y
94
+ 30y
93
+ ··· − y + 1)
c
3
, c
9
y
10
(y
94
− 55y
93
+ ··· − 1.46801 × 10
7
y + 1048576)
c
6
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y − 1)
2
· (y
94
− 37y
93
+ ··· + 47515546332y + 1032272641)
c
7
, c
8
, c
11
((y
5
− 5y
4
+ 8y
3
− 3y
2
− y − 1)
2
)(y
94
− 85y
93
+ ··· + 8y + 1)
c
10
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y − 1)
2
· (y
94
+ 23y
93
+ ··· + 134228996y + 6315169)
c
12
((y
5
− y
4
+ 8y
3
− 3y
2
+ 3y − 1)
2
)(y
94
− y
93
+ ··· − 4y + 1)
20
