12a
0527
(K12a
0527
)
A knot diagram
1
Linearized knot diagam
3 7 8 9 1 2 6 11 12 5 4 10
Solving Sequence
2,6
7 3 8
4,11
9 1 5 10 12
c
6
c
2
c
7
c
3
c
8
c
1
c
5
c
10
c
12
c
4
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.62656 × 10
32
u
100
− 1.37621 × 10
32
u
99
+ ··· + 1.43355 × 10
32
b − 4.87406 × 10
32
,
7.89761 × 10
32
u
100
− 1.36318 × 10
33
u
99
+ ··· + 1.43355 × 10
32
a + 6.41450 × 10
32
, u
101
− 2u
100
+ ··· − 3u − 1i
I
u
2
= hb + u − 1, −u
2
+ a + u, u
3
− u
2
+ 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
= h−2.63 × 10
32
u
100
− 1.38 × 10
32
u
99
+ · · · + 1.43 × 10
32
b − 4.87 ×
10
32
, 7.90 × 10
32
u
100
− 1.36 × 10
33
u
99
+ · · · + 1.43 × 10
32
a + 6.41 ×
10
32
, u
101
− 2u
100
+ · · · − 3u − 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
8
=
−u
2
+ 1
u
2
a
4
=
u
7
− 2u
5
+ 2u
3
− 2u
−u
7
+ u
5
− 2u
3
+ u
a
11
=
−5.50914u
100
+ 9.50914u
99
+ ··· − 11.1589u − 4.47457
1.83221u
100
+ 0.960001u
99
+ ··· + 8.36542u + 3.40000
a
9
=
1.84477u
100
− 2.24477u
99
+ ··· + 5.88323u + 0.722386
−0.602902u
100
+ 0.200001u
99
+ ··· − 0.0776162u − 0.400001
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
−u
8
+ u
6
− u
4
+ 1
−u
10
+ 2u
8
− 3u
6
+ 2u
4
− u
2
a
10
=
−4.64586u
100
+ 6.04586u
99
+ ··· − 15.4372u − 6.42293
0.439796u
100
+ 2.56000u
99
+ ··· + 8.01707u + 3.60000
a
12
=
−4.18435u
100
+ 5.38435u
99
+ ··· − 13.0030u − 6.29217
0.241103u
100
+ 2.56000u
99
+ ··· + 8.34783u + 3.40000
(ii) Obstruction class = −1
(iii) Cusp Shapes = −31.9407u
100
+ 84.2414u
99
+ ··· + 10.3636u + 24.0193
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
101
+ 36u
100
+ ··· + u + 1
c
2
, c
6
u
101
− 2u
100
+ ··· − 3u − 1
c
3
, c
5
u
101
+ 2u
100
+ ··· − 31477u − 8353
c
4
u
101
− 2u
100
+ ··· + u − 1
c
8
u
101
+ 17u
100
+ ··· + 4u − 8
c
9
, c
12
u
101
− 4u
100
+ ··· − 2u − 1
c
10
u
101
− u
100
+ ··· − 2263262u − 275501
c
11
u
101
+ u
100
+ ··· − 9608u − 3329
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
101
+ 60y
100
+ ··· − 215y −1
c
2
, c
6
y
101
− 36y
100
+ ··· + y −1
c
3
, c
5
y
101
− 84y
100
+ ··· + 315879129y −69772609
c
4
y
101
+ 20y
100
+ ··· + y −1
c
8
y
101
+ 21y
100
+ ··· + 80y −64
c
9
, c
12
y
101
− 78y
100
+ ··· + 142y −1
c
10
y
101
− 53y
100
+ ··· − 5937265797024y −75900801001
c
11
y
101
− 129y
100
+ ··· + 336808740y −11082241
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.580578 + 0.817482I
a = 1.08176 + 2.75518I
b = −1.61602 − 1.97604I
−6.13347 + 12.43020I 0
u = 0.580578 − 0.817482I
a = 1.08176 − 2.75518I
b = −1.61602 + 1.97604I
−6.13347 − 12.43020I 0
u = −0.776866 + 0.636255I
a = −1.285090 − 0.032532I
b = −0.235532 + 0.454753I
−0.351074 − 0.411440I 0
u = −0.776866 − 0.636255I
a = −1.285090 + 0.032532I
b = −0.235532 − 0.454753I
−0.351074 + 0.411440I 0
u = −0.579941 + 0.831261I
a = −0.20262 + 1.51768I
b = 0.491882 − 1.239610I
−5.31423 − 4.01863I 0
u = −0.579941 − 0.831261I
a = −0.20262 − 1.51768I
b = 0.491882 + 1.239610I
−5.31423 + 4.01863I 0
u = 0.731897 + 0.717631I
a = −0.985525 − 0.373921I
b = 1.232150 + 0.021103I
3.54399 − 0.83039I 0
u = 0.731897 − 0.717631I
a = −0.985525 + 0.373921I
b = 1.232150 − 0.021103I
3.54399 + 0.83039I 0
u = 0.579045 + 0.782616I
a = −1.41006 − 2.92308I
b = 1.80130 + 2.00177I
−1.15835 + 6.39204I 0
u = 0.579045 − 0.782616I
a = −1.41006 + 2.92308I
b = 1.80130 − 2.00177I
−1.15835 − 6.39204I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.992696 + 0.288852I
a = −0.413171 − 1.163250I
b = 0.357560 − 0.746316I
−5.66355 − 7.67808I 0
u = 0.992696 − 0.288852I
a = −0.413171 + 1.163250I
b = 0.357560 + 0.746316I
−5.66355 + 7.67808I 0
u = −0.586808 + 0.759798I
a = 0.04149 − 2.11805I
b = −0.78617 + 1.40337I
−1.12071 − 2.11881I 0
u = −0.586808 − 0.759798I
a = 0.04149 + 2.11805I
b = −0.78617 − 1.40337I
−1.12071 + 2.11881I 0
u = 0.551923 + 0.766712I
a = 1.00983 − 2.09875I
b = −0.93227 + 1.55605I
−5.52348 + 3.44945I 0
u = 0.551923 − 0.766712I
a = 1.00983 + 2.09875I
b = −0.93227 − 1.55605I
−5.52348 − 3.44945I 0
u = −0.999347 + 0.340848I
a = 1.060780 − 0.155870I
b = 0.171910 − 0.581163I
−5.38574 − 1.49082I 0
u = −0.999347 − 0.340848I
a = 1.060780 + 0.155870I
b = 0.171910 + 0.581163I
−5.38574 + 1.49082I 0
u = −0.867440 + 0.602442I
a = −1.027350 − 0.522687I
b = −0.41382 + 1.88947I
−2.06528 + 2.36638I 0
u = −0.867440 − 0.602442I
a = −1.027350 + 0.522687I
b = −0.41382 − 1.88947I
−2.06528 − 2.36638I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.830410 + 0.659590I
a = 3.26701 + 2.72075I
b = −3.24052 + 0.35453I
0.66876 − 2.15524I 0
u = 0.830410 − 0.659590I
a = 3.26701 − 2.72075I
b = −3.24052 − 0.35453I
0.66876 + 2.15524I 0
u = −0.790678 + 0.720657I
a = 0.373565 + 0.794306I
b = 0.26102 − 1.55215I
4.26660 − 1.41032I 0
u = −0.790678 − 0.720657I
a = 0.373565 − 0.794306I
b = 0.26102 + 1.55215I
4.26660 + 1.41032I 0
u = −0.557322 + 0.741721I
a = 2.71247 + 1.31477I
b = −0.38069 − 1.74543I
−3.15042 − 1.23136I 0
u = −0.557322 − 0.741721I
a = 2.71247 − 1.31477I
b = −0.38069 + 1.74543I
−3.15042 + 1.23136I 0
u = 0.527722 + 0.745991I
a = 1.97089 + 2.02020I
b = −2.00746 − 1.35637I
−5.69818 − 0.73271I 0
u = 0.527722 − 0.745991I
a = 1.97089 − 2.02020I
b = −2.00746 + 1.35637I
−5.69818 + 0.73271I 0
u = −0.760571 + 0.777702I
a = −0.226258 − 1.040140I
b = −0.33988 + 1.47739I
0.92908 − 6.20119I 0
u = −0.760571 − 0.777702I
a = −0.226258 + 1.040140I
b = −0.33988 − 1.47739I
0.92908 + 6.20119I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.875040 + 0.660065I
a = −3.59751 − 2.74451I
b = 3.84044 − 0.34482I
0.53070 − 2.96586I 0
u = 0.875040 − 0.660065I
a = −3.59751 + 2.74451I
b = 3.84044 + 0.34482I
0.53070 + 2.96586I 0
u = 1.100210 + 0.020604I
a = 0.236817 − 0.239066I
b = −0.54000 − 1.67484I
−6.80779 − 1.09810I 0
u = 1.100210 − 0.020604I
a = 0.236817 + 0.239066I
b = −0.54000 + 1.67484I
−6.80779 + 1.09810I 0
u = 0.860089 + 0.697567I
a = −0.717370 + 0.810706I
b = −0.208718 − 1.143530I
2.62589 − 2.67725I 0
u = 0.860089 − 0.697567I
a = −0.717370 − 0.810706I
b = −0.208718 + 1.143530I
2.62589 + 2.67725I 0
u = 1.10810
a = −0.856082
b = 2.03030
−8.68154 0
u = −0.887567
a = −0.817633
b = −0.550192
−1.33224 0
u = −1.114620 + 0.030825I
a = −0.469459 − 0.747816I
b = −0.73619 − 2.63460I
−7.02899 + 5.28777I 0
u = −1.114620 − 0.030825I
a = −0.469459 + 0.747816I
b = −0.73619 + 2.63460I
−7.02899 − 5.28777I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.542066 + 0.695535I
a = −1.50995 + 1.17691I
b = 0.723518 − 0.216829I
−1.55569 − 0.20530I 0
u = −0.542066 − 0.695535I
a = −1.50995 − 1.17691I
b = 0.723518 + 0.216829I
−1.55569 + 0.20530I 0
u = −0.912004 + 0.648971I
a = 0.699393 − 0.327027I
b = −0.040908 + 0.524679I
−0.76674 + 5.44373I 0
u = −0.912004 − 0.648971I
a = 0.699393 + 0.327027I
b = −0.040908 − 0.524679I
−0.76674 − 5.44373I 0
u = −1.120330 + 0.009077I
a = 0.939852 − 0.584975I
b = 1.47923 − 1.99943I
−11.22580 + 2.15574I 0
u = −1.120330 − 0.009077I
a = 0.939852 + 0.584975I
b = 1.47923 + 1.99943I
−11.22580 − 2.15574I 0
u = −0.407323 + 0.766016I
a = 0.586665 − 1.063980I
b = −0.206688 + 0.784276I
−6.31216 + 0.71745I 0
u = −0.407323 − 0.766016I
a = 0.586665 + 1.063980I
b = −0.206688 − 0.784276I
−6.31216 − 0.71745I 0
u = 0.809595 + 0.792585I
a = 0.268089 + 0.189950I
b = −0.679333 − 0.007535I
1.70257 − 3.61317I 0
u = 0.809595 − 0.792585I
a = 0.268089 − 0.189950I
b = −0.679333 + 0.007535I
1.70257 + 3.61317I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.429106 + 0.750232I
a = −0.27237 − 2.16240I
b = −0.193102 + 1.257930I
−7.02341 − 9.31002I 0
u = 0.429106 − 0.750232I
a = −0.27237 + 2.16240I
b = −0.193102 − 1.257930I
−7.02341 + 9.31002I 0
u = 0.492476 + 0.706817I
a = 0.10857 + 2.62980I
b = 0.07012 − 1.55469I
−1.76205 − 3.73837I 0
u = 0.492476 − 0.706817I
a = 0.10857 − 2.62980I
b = 0.07012 + 1.55469I
−1.76205 + 3.73837I 0
u = −1.137550 + 0.052552I
a = 0.399378 + 0.529597I
b = 0.51656 + 2.35138I
−12.3236 + 11.2549I 0
u = −1.137550 − 0.052552I
a = 0.399378 − 0.529597I
b = 0.51656 − 2.35138I
−12.3236 − 11.2549I 0
u = 1.146290 + 0.059871I
a = −0.033176 + 0.392153I
b = 0.12752 + 1.41665I
−11.62260 − 2.80284I 0
u = 1.146290 − 0.059871I
a = −0.033176 − 0.392153I
b = 0.12752 − 1.41665I
−11.62260 + 2.80284I 0
u = 0.808462 + 0.265214I
a = 0.18244 + 1.90764I
b = −0.264215 + 0.137536I
−0.97574 − 3.59051I 0
u = 0.808462 − 0.265214I
a = 0.18244 − 1.90764I
b = −0.264215 − 0.137536I
−0.97574 + 3.59051I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.914022 + 0.701626I
a = 1.34539 + 0.51557I
b = 0.26129 − 1.58824I
3.89278 + 6.84476I 0
u = −0.914022 − 0.701626I
a = 1.34539 − 0.51557I
b = 0.26129 + 1.58824I
3.89278 − 6.84476I 0
u = 0.957278 + 0.683503I
a = 0.765723 + 1.038360I
b = −1.087560 + 0.318468I
2.86234 − 4.54345I 0
u = 0.957278 − 0.683503I
a = 0.765723 − 1.038360I
b = −1.087560 − 0.318468I
2.86234 + 4.54345I 0
u = 0.813595 + 0.080576I
a = 1.40060 + 1.21033I
b = −0.749481 + 0.170542I
−4.44148 − 1.57004I −18.1875 + 4.5005I
u = 0.813595 − 0.080576I
a = 1.40060 − 1.21033I
b = −0.749481 − 0.170542I
−4.44148 + 1.57004I −18.1875 − 4.5005I
u = −0.950666 + 0.730111I
a = −1.43170 − 0.53854I
b = −0.04381 + 1.56263I
0.35283 + 11.88910I 0
u = −0.950666 − 0.730111I
a = −1.43170 + 0.53854I
b = −0.04381 − 1.56263I
0.35283 − 11.88910I 0
u = 0.929268 + 0.766181I
a = −0.141246 − 0.414026I
b = 0.514331 − 0.104628I
1.34446 − 2.23765I 0
u = 0.929268 − 0.766181I
a = −0.141246 + 0.414026I
b = 0.514331 + 0.104628I
1.34446 + 2.23765I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.029130 + 0.641441I
a = 1.81274 − 0.76025I
b = −1.55235 − 0.42125I
−2.93373 + 5.37990I 0
u = −1.029130 − 0.641441I
a = 1.81274 + 0.76025I
b = −1.55235 + 0.42125I
−2.93373 − 5.37990I 0
u = 1.037880 + 0.629632I
a = −2.73972 + 1.12561I
b = 0.50709 − 2.03495I
−3.28431 − 1.38267I 0
u = 1.037880 − 0.629632I
a = −2.73972 − 1.12561I
b = 0.50709 + 2.03495I
−3.28431 + 1.38267I 0
u = 1.060120 + 0.607138I
a = 2.21827 − 0.75718I
b = −0.52025 + 1.44085I
−8.83256 + 4.21940I 0
u = 1.060120 − 0.607138I
a = 2.21827 + 0.75718I
b = −0.52025 − 1.44085I
−8.83256 − 4.21940I 0
u = −1.067440 + 0.598297I
a = −1.45738 + 0.17148I
b = 0.649022 + 0.760713I
−8.22594 + 4.35979I 0
u = −1.067440 − 0.598297I
a = −1.45738 − 0.17148I
b = 0.649022 − 0.760713I
−8.22594 − 4.35979I 0
u = −1.038260 + 0.654379I
a = 0.30062 + 2.25294I
b = 1.34619 − 2.47686I
−4.54784 + 6.56119I 0
u = −1.038260 − 0.654379I
a = 0.30062 − 2.25294I
b = 1.34619 + 2.47686I
−4.54784 − 6.56119I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.045550 + 0.646235I
a = −2.89155 − 1.48305I
b = 2.36845 − 1.69914I
−7.19366 − 4.56403I 0
u = 1.045550 − 0.646235I
a = −2.89155 + 1.48305I
b = 2.36845 + 1.69914I
−7.19366 + 4.56403I 0
u = −1.035690 + 0.667806I
a = −2.13484 − 0.55959I
b = 0.89394 + 2.02131I
−2.44358 + 7.54869I 0
u = −1.035690 − 0.667806I
a = −2.13484 + 0.55959I
b = 0.89394 − 2.02131I
−2.44358 − 7.54869I 0
u = 1.047060 + 0.658682I
a = 1.75328 − 2.16511I
b = 0.74251 + 1.80776I
−6.97481 − 8.85240I 0
u = 1.047060 − 0.658682I
a = 1.75328 + 2.16511I
b = 0.74251 − 1.80776I
−6.97481 + 8.85240I 0
u = 1.044850 + 0.671965I
a = 3.55264 + 0.42446I
b = −2.08041 + 2.51692I
−2.53914 − 11.89080I 0
u = 1.044850 − 0.671965I
a = 3.55264 − 0.42446I
b = −2.08041 − 2.51692I
−2.53914 + 11.89080I 0
u = 1.056520 + 0.683688I
a = −3.19914 − 0.15526I
b = 1.81789 − 2.46625I
−7.5601 − 18.0608I 0
u = 1.056520 − 0.683688I
a = −3.19914 + 0.15526I
b = 1.81789 + 2.46625I
−7.5601 + 18.0608I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.061860 + 0.687387I
a = 1.72915 + 0.32383I
b = −0.61511 − 1.49865I
−6.76591 + 9.69838I 0
u = −1.061860 − 0.687387I
a = 1.72915 − 0.32383I
b = −0.61511 + 1.49865I
−6.76591 − 9.69838I 0
u = −0.687052 + 0.171908I
a = −1.022670 + 0.527605I
b = −0.379193 + 0.262286I
−1.146000 + 0.219134I −10.05783 − 1.01720I
u = −0.687052 − 0.171908I
a = −1.022670 − 0.527605I
b = −0.379193 − 0.262286I
−1.146000 − 0.219134I −10.05783 + 1.01720I
u = −0.664651
a = 3.78562
b = 3.39066
−2.63642 76.6880
u = −0.040952 + 0.625167I
a = 0.128896 + 0.458554I
b = −0.480942 − 0.715993I
−2.53232 + 4.74598I −7.25373 − 5.98906I
u = −0.040952 − 0.625167I
a = 0.128896 − 0.458554I
b = −0.480942 + 0.715993I
−2.53232 − 4.74598I −7.25373 + 5.98906I
u = 0.052208 + 0.417362I
a = −0.570587 + 0.222928I
b = 0.641330 + 0.478339I
1.08223 + 1.37708I 0.60455 − 2.47173I
u = 0.052208 − 0.417362I
a = −0.570587 − 0.222928I
b = 0.641330 − 0.478339I
1.08223 − 1.37708I 0.60455 + 2.47173I
u = −0.159875 + 0.226427I
a = −3.26352 − 1.45574I
b = −0.420029 + 0.724916I
−1.93515 + 0.71126I −4.76387 + 0.88702I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.159875 − 0.226427I
a = −3.26352 + 1.45574I
b = −0.420029 − 0.724916I
−1.93515 − 0.71126I −4.76387 − 0.88702I
15
II. I
u
2
= hb + u − 1, −u
2
+ a + u, u
3
− u
2
+ 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
2
+ u + 1
a
8
=
−u
2
+ 1
u
2
a
4
=
1
0
a
11
=
u
2
− u
−u + 1
a
9
=
−u
2
+ 1
u
2
a
1
=
u
2
− 1
−u
2
a
5
=
−u
−u
2
+ u + 1
a
10
=
0
u
2
− u + 1
a
12
=
u
2
− 1
−u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −u
2
+ 8u − 16
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
u
3
− u
2
+ 2u − 1
c
2
u
3
+ u
2
− 1
c
5
, c
7
u
3
+ u
2
+ 2u + 1
c
6
u
3
− u
2
+ 1
c
8
u
3
c
9
(u − 1)
3
c
10
, c
11
u
3
+ 2u
2
+ u + 1
c
12
(u + 1)
3
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
4
c
5
, c
7
y
3
+ 3y
2
+ 2y −1
c
2
, c
6
y
3
− y
2
+ 2y −1
c
8
y
3
c
9
, c
12
(y −1)
3
c
10
, c
11
y
3
− 2y
2
− 3y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877439 + 0.744862I
a = −0.662359 + 0.562280I
b = 0.122561 − 0.744862I
1.37919 − 2.82812I −9.19557 + 4.65175I
u = 0.877439 − 0.744862I
a = −0.662359 − 0.562280I
b = 0.122561 + 0.744862I
1.37919 + 2.82812I −9.19557 − 4.65175I
u = −0.754878
a = 1.32472
b = 1.75488
−2.75839 −22.6090
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
3
− u
2
+ 2u − 1)(u
101
+ 36u
100
+ ··· + u + 1)
c
2
(u
3
+ u
2
− 1)(u
101
− 2u
100
+ ··· − 3u − 1)
c
3
(u
3
− u
2
+ 2u − 1)(u
101
+ 2u
100
+ ··· − 31477u − 8353)
c
4
(u
3
− u
2
+ 2u − 1)(u
101
− 2u
100
+ ··· + u − 1)
c
5
(u
3
+ u
2
+ 2u + 1)(u
101
+ 2u
100
+ ··· − 31477u − 8353)
c
6
(u
3
− u
2
+ 1)(u
101
− 2u
100
+ ··· − 3u − 1)
c
7
(u
3
+ u
2
+ 2u + 1)(u
101
+ 36u
100
+ ··· + u + 1)
c
8
u
3
(u
101
+ 17u
100
+ ··· + 4u − 8)
c
9
((u − 1)
3
)(u
101
− 4u
100
+ ··· − 2u − 1)
c
10
(u
3
+ 2u
2
+ u + 1)(u
101
− u
100
+ ··· − 2263262u − 275501)
c
11
(u
3
+ 2u
2
+ u + 1)(u
101
+ u
100
+ ··· − 9608u − 3329)
c
12
((u + 1)
3
)(u
101
− 4u
100
+ ··· − 2u − 1)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
3
+ 3y
2
+ 2y −1)(y
101
+ 60y
100
+ ··· − 215y −1)
c
2
, c
6
(y
3
− y
2
+ 2y −1)(y
101
− 36y
100
+ ··· + y −1)
c
3
, c
5
(y
3
+ 3y
2
+ 2y −1)(y
101
− 84y
100
+ ··· + 3.15879 × 10
8
y −6.97726 × 10
7
)
c
4
(y
3
+ 3y
2
+ 2y −1)(y
101
+ 20y
100
+ ··· + y −1)
c
8
y
3
(y
101
+ 21y
100
+ ··· + 80y −64)
c
9
, c
12
((y −1)
3
)(y
101
− 78y
100
+ ··· + 142y −1)
c
10
(y
3
− 2y
2
− 3y −1)
· (y
101
− 53y
100
+ ··· − 5937265797024y −75900801001)
c
11
(y
3
− 2y
2
− 3y −1)(y
101
− 129y
100
+ ··· + 3.36809 × 10
8
y −1.10822 × 10
7
)
21
