12a
1067
(K12a
1067
)
A knot diagram
1
Linearized knot diagam
4 7 9 1 11 3 12 5 2 8 6 10
Solving Sequence
3,6 7,12
8 2 11 5 9 10 1 4
c
6
c
7
c
2
c
11
c
5
c
8
c
10
c
12
c
4
c
1
, c
3
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h9.69637 × 10
972
u
183
+ 3.83011 × 10
973
u
182
+ ··· + 4.79435 × 10
972
b + 4.98318 × 10
972
,
3.00989 × 10
973
u
183
+ 1.06238 × 10
974
u
182
+ ··· + 9.58869 × 10
972
a − 1.13665 × 10
973
,
4u
184
+ 18u
183
+ ··· − u − 1i
I
u
2
= h−6.34794 × 10
39
u
46
+ 2.02979 × 10
39
u
45
+ ··· + 3.62356 × 10
36
b + 1.98963 × 10
38
,
− 1.15338 × 10
40
u
46
+ 4.70729 × 10
39
u
45
+ ··· + 3.62356 × 10
36
a + 5.74621 × 10
38
,
4u
47
− 2u
46
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 231 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
= h9.70 × 10
972
u
183
+ 3.83 × 10
973
u
182
+ · · · + 4.79 × 10
972
b + 4.98 ×
10
972
, 3.01 × 10
973
u
183
+ 1.06 × 10
974
u
182
+ · · · + 9.59 × 10
972
a − 1.14 ×
10
973
, 4u
184
+ 18u
183
+ · · · − u − 1i
(i) Arc colorings
a
3
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
12
=
−3.13900u
183
− 11.0795u
182
+ ··· + 11.4796u + 1.18541
−2.02246u
183
− 7.98881u
182
+ ··· − 0.164649u − 1.03939
a
8
=
−28.3246u
183
− 115.902u
182
+ ··· + 0.103156u + 0.195379
−0.838225u
183
− 5.38534u
182
+ ··· + 3.61413u + 1.85430
a
2
=
u
u
3
+ u
a
11
=
−5.16146u
183
− 19.0683u
182
+ ··· + 11.3150u + 0.146023
−2.02246u
183
− 7.98881u
182
+ ··· − 0.164649u − 1.03939
a
5
=
−2.41286u
183
− 6.67240u
182
+ ··· + 7.65328u − 0.944619
−2.97911u
183
− 12.4678u
182
+ ··· − 2.66075u − 1.04249
a
9
=
0.694380u
183
+ 4.32372u
182
+ ··· + 26.7412u − 1.97568
0.884339u
183
+ 4.27172u
182
+ ··· + 18.5921u − 2.57270
a
10
=
0.512475u
183
+ 4.12866u
182
+ ··· + 26.7047u − 2.23706
0.533045u
183
+ 3.06739u
182
+ ··· + 18.6661u − 2.67821
a
1
=
−7.17736u
183
− 33.1930u
182
+ ··· + 11.1989u + 15.7224
−6.39788u
183
− 28.7785u
182
+ ··· + 10.4754u + 5.75485
a
4
=
11.8637u
183
+ 48.5407u
182
+ ··· − 47.3080u + 4.31958
5.27352u
183
+ 21.4561u
182
+ ··· − 25.8612u + 1.42500
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4.22703u
183
+ 16.2157u
182
+ ··· − 63.6205u − 1.32587
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
184
− 6u
183
+ ··· − 249u + 23
c
2
, c
6
4(4u
184
+ 18u
183
+ ··· − u − 1)
c
3
4(4u
184
+ 10u
183
+ ··· + 6499876u − 332573)
c
5
, c
11
u
184
− 5u
183
+ ··· − 626819u − 61241
c
7
u
184
+ 3u
183
+ ··· − 584840944u + 146659264
c
8
u
184
− 7u
183
+ ··· − 15606197942u − 994895348
c
9
4(4u
184
− 6u
183
+ ··· + 64953u + 127)
c
10
16(16u
184
+ 372u
183
+ ··· + 2.52928 × 10
7
u + 2248063)
c
12
u
184
+ 15u
183
+ ··· + 3307328u + 94624
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
184
+ 112y
183
+ ··· + 67259y + 529
c
2
, c
6
16(16y
184
+ 1444y
183
+ ··· + 75y + 1)
c
3
16(16y
184
+ 164y
183
+ ··· − 4.68138 × 10
12
y + 1.10605 × 10
11
)
c
5
, c
11
y
184
− 121y
183
+ ··· + 83127663735y + 3750460081
c
7
y
184
− 59y
183
+ ··· − 2085041048441058048y + 21508939717021696
c
8
y
184
+ 67y
183
+ ··· + 1.72 × 10
19
y + 9.90 × 10
17
c
9
16(16y
184
− 60y
183
+ ··· − 4.55483 × 10
9
y + 16129)
c
10
256
· (256y
184
− 9328y
183
+ ··· − 317358447741910y + 5053787251969)
c
12
y
184
+ 5y
183
+ ··· + 1539978428928y + 8953701376
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.408140 + 0.919874I
a = 0.468378 + 0.427870I
b = 1.51005 + 0.08124I
−1.37864 − 2.50987I 0
u = −0.408140 − 0.919874I
a = 0.468378 − 0.427870I
b = 1.51005 − 0.08124I
−1.37864 + 2.50987I 0
u = 0.347511 + 0.928057I
a = −0.24952 + 1.41068I
b = 0.187116 − 0.192914I
0.71096 − 4.45447I 0
u = 0.347511 − 0.928057I
a = −0.24952 − 1.41068I
b = 0.187116 + 0.192914I
0.71096 + 4.45447I 0
u = 0.414485 + 0.922428I
a = −0.74768 + 1.57493I
b = 0.325405 − 1.011900I
0.81162 − 5.05777I 0
u = 0.414485 − 0.922428I
a = −0.74768 − 1.57493I
b = 0.325405 + 1.011900I
0.81162 + 5.05777I 0
u = 0.936267 + 0.290628I
a = 0.723436 − 0.270809I
b = −0.018333 + 0.974541I
0.70461 + 9.22244I 0
u = 0.936267 − 0.290628I
a = 0.723436 + 0.270809I
b = −0.018333 − 0.974541I
0.70461 − 9.22244I 0
u = −0.389627 + 0.897196I
a = −0.82128 − 1.61223I
b = 0.172816 + 1.211310I
0.39458 + 1.97082I 0
u = −0.389627 − 0.897196I
a = −0.82128 + 1.61223I
b = 0.172816 − 1.211310I
0.39458 − 1.97082I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.386856 + 0.946622I
a = −0.55309 + 1.52788I
b = 0.223782 − 0.579332I
0.71363 − 4.10768I 0
u = 0.386856 − 0.946622I
a = −0.55309 − 1.52788I
b = 0.223782 + 0.579332I
0.71363 + 4.10768I 0
u = −0.598540 + 0.840118I
a = −1.00327 − 1.66735I
b = −0.835767 + 0.193058I
2.88033 + 5.29178I 0
u = −0.598540 − 0.840118I
a = −1.00327 + 1.66735I
b = −0.835767 − 0.193058I
2.88033 − 5.29178I 0
u = 0.387149 + 0.886872I
a = −1.65326 + 1.80661I
b = 0.15896 − 2.04360I
6.92848 − 1.61446I 0
u = 0.387149 − 0.886872I
a = −1.65326 − 1.80661I
b = 0.15896 + 2.04360I
6.92848 + 1.61446I 0
u = −0.397961 + 0.970113I
a = −0.52923 − 1.79836I
b = −0.403072 + 0.707760I
3.06213 + 5.71906I 0
u = −0.397961 − 0.970113I
a = −0.52923 + 1.79836I
b = −0.403072 − 0.707760I
3.06213 − 5.71906I 0
u = −0.362407 + 0.869445I
a = −0.75689 − 1.30416I
b = 0.336318 + 1.211430I
0.250731 + 1.210620I 0
u = −0.362407 − 0.869445I
a = −0.75689 + 1.30416I
b = 0.336318 − 1.211430I
0.250731 − 1.210620I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.430135 + 0.978941I
a = −0.70095 − 1.39377I
b = 0.688817 + 0.707721I
4.26154 + 6.12115I 0
u = −0.430135 − 0.978941I
a = −0.70095 + 1.39377I
b = 0.688817 − 0.707721I
4.26154 − 6.12115I 0
u = 0.923728 + 0.035921I
a = 0.784119 + 0.058833I
b = −0.065795 − 0.428784I
0.08718 + 4.16864I 0
u = 0.923728 − 0.035921I
a = 0.784119 − 0.058833I
b = −0.065795 + 0.428784I
0.08718 − 4.16864I 0
u = 0.281847 + 1.038920I
a = 0.950210 − 0.904620I
b = −0.526128 + 0.721953I
3.42270 − 0.97311I 0
u = 0.281847 − 1.038920I
a = 0.950210 + 0.904620I
b = −0.526128 − 0.721953I
3.42270 + 0.97311I 0
u = −0.314115 + 1.036040I
a = −0.900858 − 0.166185I
b = 1.080560 + 0.729888I
2.58839 − 3.79400I 0
u = −0.314115 − 1.036040I
a = −0.900858 + 0.166185I
b = 1.080560 − 0.729888I
2.58839 + 3.79400I 0
u = −0.169340 + 1.072090I
a = −0.522139 − 0.399251I
b = 0.643915 − 0.083937I
−0.103146 + 1.087630I 0
u = −0.169340 − 1.072090I
a = −0.522139 + 0.399251I
b = 0.643915 + 0.083937I
−0.103146 − 1.087630I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.026900 + 0.396959I
a = −0.946965 − 0.259094I
b = −1.052410 − 0.095352I
−4.26445 − 3.56478I 0
u = 1.026900 − 0.396959I
a = −0.946965 + 0.259094I
b = −1.052410 + 0.095352I
−4.26445 + 3.56478I 0
u = −0.505306 + 0.978686I
a = −0.505234 + 0.189205I
b = 1.68157 + 0.48204I
−1.95917 + 7.82733I 0
u = −0.505306 − 0.978686I
a = −0.505234 − 0.189205I
b = 1.68157 − 0.48204I
−1.95917 − 7.82733I 0
u = 0.528603 + 0.971751I
a = −0.267204 − 0.043964I
b = 1.57732 − 0.43029I
−5.82786 − 2.25349I 0
u = 0.528603 − 0.971751I
a = −0.267204 + 0.043964I
b = 1.57732 + 0.43029I
−5.82786 + 2.25349I 0
u = −0.371982 + 1.043230I
a = 1.00034 + 1.02546I
b = −0.420802 − 0.873508I
3.44755 + 0.37029I 0
u = −0.371982 − 1.043230I
a = 1.00034 − 1.02546I
b = −0.420802 + 0.873508I
3.44755 − 0.37029I 0
u = −0.969711 + 0.536288I
a = 0.076731 − 0.456367I
b = −1.082330 − 0.371542I
−4.27619 + 1.85568I 0
u = −0.969711 − 0.536288I
a = 0.076731 + 0.456367I
b = −1.082330 + 0.371542I
−4.27619 − 1.85568I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.061950 + 0.322851I
a = 0.676768 + 0.257664I
b = 0.058107 − 0.961838I
−3.14855 − 2.88375I 0
u = −1.061950 − 0.322851I
a = 0.676768 − 0.257664I
b = 0.058107 + 0.961838I
−3.14855 + 2.88375I 0
u = −0.450313 + 1.028690I
a = 1.75389 + 0.84402I
b = 1.241200 − 0.130319I
−0.17468 + 10.02130I 0
u = −0.450313 − 1.028690I
a = 1.75389 − 0.84402I
b = 1.241200 + 0.130319I
−0.17468 − 10.02130I 0
u = 0.419405 + 1.048920I
a = 1.55024 − 0.23042I
b = 1.300290 + 0.017985I
−4.53117 − 3.67527I 0
u = 0.419405 − 1.048920I
a = 1.55024 + 0.23042I
b = 1.300290 − 0.017985I
−4.53117 + 3.67527I 0
u = −0.561516 + 0.982387I
a = 1.09147 + 0.98522I
b = 1.032500 − 0.173802I
3.47444 − 0.63871I 0
u = −0.561516 − 0.982387I
a = 1.09147 − 0.98522I
b = 1.032500 + 0.173802I
3.47444 + 0.63871I 0
u = 0.333214 + 0.786452I
a = −0.186114 + 1.268040I
b = 0.153328 − 0.956820I
0.28532 + 1.75546I 0
u = 0.333214 − 0.786452I
a = −0.186114 − 1.268040I
b = 0.153328 + 0.956820I
0.28532 − 1.75546I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.889487 + 0.746374I
a = 0.293423 − 0.103625I
b = 1.35003 + 0.43451I
−0.40458 − 2.51278I 0
u = −0.889487 − 0.746374I
a = 0.293423 + 0.103625I
b = 1.35003 − 0.43451I
−0.40458 + 2.51278I 0
u = 0.647529 + 0.968786I
a = 0.912059 − 1.075660I
b = 0.326805 + 1.263330I
5.12494 − 2.86592I 0
u = 0.647529 − 0.968786I
a = 0.912059 + 1.075660I
b = 0.326805 − 1.263330I
5.12494 + 2.86592I 0
u = 0.521786 + 0.651265I
a = −0.08453 + 2.96521I
b = −1.261640 − 0.574391I
−6.84437 − 2.04453I 0
u = 0.521786 − 0.651265I
a = −0.08453 − 2.96521I
b = −1.261640 + 0.574391I
−6.84437 + 2.04453I 0
u = −0.488376 + 0.666176I
a = −0.04949 − 2.88367I
b = −1.35023 + 0.61079I
−2.97063 − 3.72020I 0
u = −0.488376 − 0.666176I
a = −0.04949 + 2.88367I
b = −1.35023 − 0.61079I
−2.97063 + 3.72020I 0
u = 0.153872 + 1.164880I
a = −0.23785 + 1.46858I
b = −0.509986 − 0.890790I
8.65940 − 4.16811I 0
u = 0.153872 − 1.164880I
a = −0.23785 − 1.46858I
b = −0.509986 + 0.890790I
8.65940 + 4.16811I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.577567 + 0.582303I
a = 0.715962 + 0.008979I
b = 0.765651 − 0.083496I
−0.042971 + 1.173170I 0
u = 0.577567 − 0.582303I
a = 0.715962 − 0.008979I
b = 0.765651 + 0.083496I
−0.042971 − 1.173170I 0
u = −0.534355 + 1.053900I
a = 0.03926 + 1.88650I
b = 1.59638 − 0.62647I
1.18807 + 10.41070I 0
u = −0.534355 − 1.053900I
a = 0.03926 − 1.88650I
b = 1.59638 + 0.62647I
1.18807 − 10.41070I 0
u = 0.060532 + 0.812643I
a = 0.040796 + 0.208195I
b = 0.410695 − 0.434856I
−0.214445 + 1.140940I 0
u = 0.060532 − 0.812643I
a = 0.040796 − 0.208195I
b = 0.410695 + 0.434856I
−0.214445 − 1.140940I 0
u = −0.536394 + 0.594861I
a = 0.00338 − 3.29524I
b = −1.123240 + 0.533124I
−2.22105 + 7.91268I 0
u = −0.536394 − 0.594861I
a = 0.00338 + 3.29524I
b = −1.123240 − 0.533124I
−2.22105 − 7.91268I 0
u = 0.552591 + 1.066900I
a = −0.32386 + 1.72792I
b = −0.998874 − 0.566217I
1.68114 − 5.76963I 0
u = 0.552591 − 1.066900I
a = −0.32386 − 1.72792I
b = −0.998874 + 0.566217I
1.68114 + 5.76963I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.522020 + 1.097030I
a = 0.225988 − 0.639916I
b = 1.344370 + 0.357098I
−0.64833 − 3.45209I 0
u = −0.522020 − 1.097030I
a = 0.225988 + 0.639916I
b = 1.344370 − 0.357098I
−0.64833 + 3.45209I 0
u = 0.020334 + 1.217110I
a = 0.042520 − 1.264440I
b = −0.479190 + 0.852671I
3.97797 + 0.31674I 0
u = 0.020334 − 1.217110I
a = 0.042520 + 1.264440I
b = −0.479190 − 0.852671I
3.97797 − 0.31674I 0
u = 0.515416 + 1.105500I
a = −0.20876 − 1.98005I
b = 1.44543 + 0.41988I
−2.63137 − 10.17830I 0
u = 0.515416 − 1.105500I
a = −0.20876 + 1.98005I
b = 1.44543 − 0.41988I
−2.63137 + 10.17830I 0
u = 0.693865 + 0.355004I
a = −0.099338 + 0.657177I
b = −1.346610 + 0.340925I
−5.33037 + 3.15613I 0
u = 0.693865 − 0.355004I
a = −0.099338 − 0.657177I
b = −1.346610 − 0.340925I
−5.33037 − 3.15613I 0
u = −0.772919 + 0.052430I
a = −0.108573 + 0.966984I
b = −1.163540 − 0.014722I
−4.79486 − 2.29114I 0
u = −0.772919 − 0.052430I
a = −0.108573 − 0.966984I
b = −1.163540 + 0.014722I
−4.79486 + 2.29114I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.771801
a = 0.423635
b = 1.07107
−1.99970 0
u = −0.307162 + 0.705941I
a = 0.45963 − 3.96015I
b = −1.145940 + 0.002258I
−2.21552 + 5.60764I 0
u = −0.307162 − 0.705941I
a = 0.45963 + 3.96015I
b = −1.145940 − 0.002258I
−2.21552 − 5.60764I 0
u = 0.577336 + 1.089180I
a = −0.09363 − 1.65289I
b = 1.39026 + 0.64879I
−3.26945 − 8.07249I 0
u = 0.577336 − 1.089180I
a = −0.09363 + 1.65289I
b = 1.39026 − 0.64879I
−3.26945 + 8.07249I 0
u = −0.518702 + 1.125780I
a = −0.30848 + 1.96122I
b = 1.313880 − 0.361486I
−3.08701 + 7.58046I 0
u = −0.518702 − 1.125780I
a = −0.30848 − 1.96122I
b = 1.313880 + 0.361486I
−3.08701 − 7.58046I 0
u = 0.600204 + 0.462166I
a = 0.704058 − 0.299784I
b = −0.017161 + 0.842752I
3.92038 − 2.08087I 0
u = 0.600204 − 0.462166I
a = 0.704058 + 0.299784I
b = −0.017161 − 0.842752I
3.92038 + 2.08087I 0
u = −0.519709 + 1.129250I
a = −0.21011 + 2.14366I
b = 1.122380 − 0.230137I
−2.00029 + 6.84902I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.519709 − 1.129250I
a = −0.21011 − 2.14366I
b = 1.122380 + 0.230137I
−2.00029 − 6.84902I 0
u = 0.559103 + 1.113140I
a = −0.24226 − 1.73965I
b = 1.36388 + 0.59858I
−3.48464 − 8.34419I 0
u = 0.559103 − 1.113140I
a = −0.24226 + 1.73965I
b = 1.36388 − 0.59858I
−3.48464 + 8.34419I 0
u = −0.635262 + 1.072810I
a = 0.077167 + 1.362710I
b = 1.226940 − 0.684267I
−2.50228 + 3.82580I 0
u = −0.635262 − 1.072810I
a = 0.077167 − 1.362710I
b = 1.226940 + 0.684267I
−2.50228 − 3.82580I 0
u = −0.185835 + 0.726682I
a = 0.522911 − 0.262001I
b = 0.318248 − 0.193976I
−0.337093 + 1.232480I 0
u = −0.185835 − 0.726682I
a = 0.522911 + 0.262001I
b = 0.318248 + 0.193976I
−0.337093 − 1.232480I 0
u = 0.569710 + 1.115840I
a = 0.27196 − 1.57152I
b = 1.107530 + 0.107823I
−1.79491 − 1.84005I 0
u = 0.569710 − 1.115840I
a = 0.27196 + 1.57152I
b = 1.107530 − 0.107823I
−1.79491 + 1.84005I 0
u = 0.428449 + 1.177750I
a = 0.196441 − 0.857966I
b = −0.203444 + 0.739709I
4.06604 − 0.46284I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.428449 − 1.177750I
a = 0.196441 + 0.857966I
b = −0.203444 − 0.739709I
4.06604 + 0.46284I 0
u = −1.161890 + 0.479075I
a = 0.274572 − 0.128431I
b = 1.32887 + 0.49405I
−3.4698 − 14.4842I 0
u = −1.161890 − 0.479075I
a = 0.274572 + 0.128431I
b = 1.32887 − 0.49405I
−3.4698 + 14.4842I 0
u = −0.548359 + 1.134530I
a = −0.36004 + 1.79531I
b = 1.264400 − 0.603997I
−2.20617 + 10.96480I 0
u = −0.548359 − 1.134530I
a = −0.36004 − 1.79531I
b = 1.264400 + 0.603997I
−2.20617 − 10.96480I 0
u = 0.510385 + 1.152500I
a = −0.73047 − 1.91157I
b = 0.927987 + 0.389521I
3.54053 − 10.46870I 0
u = 0.510385 − 1.152500I
a = −0.73047 + 1.91157I
b = 0.927987 − 0.389521I
3.54053 + 10.46870I 0
u = −0.357385 + 0.646714I
a = −1.20802 − 4.53575I
b = −1.011780 − 0.087627I
−1.55096 − 6.48269I 0
u = −0.357385 − 0.646714I
a = −1.20802 + 4.53575I
b = −1.011780 + 0.087627I
−1.55096 + 6.48269I 0
u = −0.352965 + 0.641905I
a = 0.79815 − 1.56934I
b = −0.278304 + 0.634077I
3.18879 − 2.67043I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.352965 − 0.641905I
a = 0.79815 + 1.56934I
b = −0.278304 − 0.634077I
3.18879 + 2.67043I 0
u = 0.354043 + 1.220320I
a = −1.206940 − 0.002967I
b = 0.765084 − 0.079501I
4.57035 + 1.96985I 0
u = 0.354043 − 1.220320I
a = −1.206940 + 0.002967I
b = 0.765084 + 0.079501I
4.57035 − 1.96985I 0
u = 0.316393 + 0.656926I
a = −0.27030 + 4.83720I
b = −1.066430 + 0.053610I
−5.97520 + 0.42420I 0
u = 0.316393 − 0.656926I
a = −0.27030 − 4.83720I
b = −1.066430 − 0.053610I
−5.97520 − 0.42420I 0
u = 0.713146 + 0.083758I
a = 0.666552 − 0.621189I
b = −1.048110 + 0.219216I
0.64514 + 5.93799I 0
u = 0.713146 − 0.083758I
a = 0.666552 + 0.621189I
b = −1.048110 − 0.219216I
0.64514 − 5.93799I 0
u = −0.522451 + 0.476399I
a = −0.394161 − 1.183480I
b = −1.48382 − 0.38144I
−0.53930 − 6.01033I 0
u = −0.522451 − 0.476399I
a = −0.394161 + 1.183480I
b = −1.48382 + 0.38144I
−0.53930 + 6.01033I 0
u = 0.736475 + 1.070560I
a = 0.755911 − 0.876200I
b = −0.004955 + 1.302750I
5.11051 − 3.02317I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.736475 − 1.070560I
a = 0.755911 + 0.876200I
b = −0.004955 − 1.302750I
5.11051 + 3.02317I 0
u = −0.603908 + 1.171210I
a = −0.065800 + 0.363356I
b = −0.238003 − 0.343787I
0.24643 + 4.33772I 0
u = −0.603908 − 1.171210I
a = −0.065800 − 0.363356I
b = −0.238003 + 0.343787I
0.24643 − 4.33772I 0
u = 0.078058 + 1.316370I
a = 0.721517 + 0.895300I
b = −0.980309 − 0.510799I
7.13507 − 0.88195I 0
u = 0.078058 − 1.316370I
a = 0.721517 − 0.895300I
b = −0.980309 + 0.510799I
7.13507 + 0.88195I 0
u = −0.656173 + 0.166650I
a = 0.1277680 − 0.0361927I
b = −1.334210 − 0.335415I
−4.79501 − 6.26372I 0
u = −0.656173 − 0.166650I
a = 0.1277680 + 0.0361927I
b = −1.334210 + 0.335415I
−4.79501 + 6.26372I 0
u = 1.203910 + 0.552267I
a = 0.283368 + 0.117376I
b = 1.315700 − 0.498609I
−7.11160 + 8.16404I 0
u = 1.203910 − 0.552267I
a = 0.283368 − 0.117376I
b = 1.315700 + 0.498609I
−7.11160 − 8.16404I 0
u = 0.630598 + 0.232076I
a = −0.108921 + 0.326295I
b = −1.38547 + 0.31094I
−5.85620 + 3.61150I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.630598 − 0.232076I
a = −0.108921 − 0.326295I
b = −1.38547 − 0.31094I
−5.85620 − 3.61150I 0
u = 0.609080 + 1.180350I
a = 0.596108 − 1.164780I
b = −0.007521 + 1.266590I
3.3819 − 14.7949I 0
u = 0.609080 − 1.180350I
a = 0.596108 + 1.164780I
b = −0.007521 − 1.266590I
3.3819 + 14.7949I 0
u = −0.582239 + 1.202530I
a = −0.036465 − 1.328170I
b = −1.108770 + 0.443250I
1.48656 + 4.84405I 0
u = −0.582239 − 1.202530I
a = −0.036465 + 1.328170I
b = −1.108770 − 0.443250I
1.48656 − 4.84405I 0
u = −0.635307 + 1.192930I
a = 0.562680 + 1.089200I
b = −0.016952 − 1.250260I
−0.44158 + 8.82121I 0
u = −0.635307 − 1.192930I
a = 0.562680 − 1.089200I
b = −0.016952 + 1.250260I
−0.44158 − 8.82121I 0
u = 0.553170 + 1.236710I
a = −0.385138 − 0.397631I
b = −0.031080 + 0.185080I
3.64818 − 9.39869I 0
u = 0.553170 − 1.236710I
a = −0.385138 + 0.397631I
b = −0.031080 − 0.185080I
3.64818 + 9.39869I 0
u = 0.127390 + 1.368760I
a = −0.213496 + 1.070530I
b = −0.490099 − 0.855599I
6.57673 + 5.39594I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.127390 − 1.368760I
a = −0.213496 − 1.070530I
b = −0.490099 + 0.855599I
6.57673 − 5.39594I 0
u = 0.430812 + 0.429791I
a = 0.675148 + 0.192238I
b = 0.570653 − 0.291739I
−0.057787 + 1.208950I −5.29737 − 2.08994I
u = 0.430812 − 0.429791I
a = 0.675148 − 0.192238I
b = 0.570653 + 0.291739I
−0.057787 − 1.208950I −5.29737 + 2.08994I
u = −1.283960 + 0.550854I
a = 0.437215 + 0.147779I
b = 0.671595 + 0.210676I
−1.96822 + 1.77464I 0
u = −1.283960 − 0.550854I
a = 0.437215 − 0.147779I
b = 0.671595 − 0.210676I
−1.96822 − 1.77464I 0
u = 0.688811 + 1.231270I
a = −0.042936 − 0.847759I
b = 1.055450 + 0.011692I
−1.94819 − 0.99757I 0
u = 0.688811 − 1.231270I
a = −0.042936 + 0.847759I
b = 1.055450 − 0.011692I
−1.94819 + 0.99757I 0
u = −0.582039 + 0.007035I
a = −0.265476 + 0.634044I
b = −1.371920 − 0.161012I
−5.77224 − 3.23298I −12.49225 + 0.68793I
u = −0.582039 − 0.007035I
a = −0.265476 − 0.634044I
b = −1.371920 + 0.161012I
−5.77224 + 3.23298I −12.49225 − 0.68793I
u = −0.83556 + 1.14797I
a = −0.38547 − 1.60149I
b = −1.38409 + 0.55440I
0.68605 + 9.23528I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.83556 − 1.14797I
a = −0.38547 + 1.60149I
b = −1.38409 − 0.55440I
0.68605 − 9.23528I 0
u = −0.73688 + 1.22923I
a = −0.12923 − 1.60995I
b = −1.40701 + 0.58675I
−1.0435 + 21.2220I 0
u = −0.73688 − 1.22923I
a = −0.12923 + 1.60995I
b = −1.40701 − 0.58675I
−1.0435 − 21.2220I 0
u = −0.27448 + 1.41334I
a = 0.371753 − 0.951412I
b = −1.013180 + 0.515588I
2.22577 + 4.69723I 0
u = −0.27448 − 1.41334I
a = 0.371753 + 0.951412I
b = −1.013180 − 0.515588I
2.22577 − 4.69723I 0
u = 0.91550 + 1.11952I
a = −0.346457 + 0.847596I
b = −1.112730 − 0.222243I
−2.22020 − 6.72893I 0
u = 0.91550 − 1.11952I
a = −0.346457 − 0.847596I
b = −1.112730 + 0.222243I
−2.22020 + 6.72893I 0
u = 0.76626 + 1.23128I
a = −0.17856 + 1.56085I
b = −1.39911 − 0.57516I
−4.8380 − 15.1508I 0
u = 0.76626 − 1.23128I
a = −0.17856 − 1.56085I
b = −1.39911 + 0.57516I
−4.8380 + 15.1508I 0
u = −0.52472 + 1.39638I
a = −0.526176 + 0.562533I
b = 1.007640 + 0.064061I
−0.79033 − 1.89977I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.52472 − 1.39638I
a = −0.526176 − 0.562533I
b = 1.007640 − 0.064061I
−0.79033 + 1.89977I 0
u = −0.88613 + 1.25564I
a = −0.130465 − 0.866414I
b = −1.187070 + 0.231146I
0.27244 + 11.50010I 0
u = −0.88613 − 1.25564I
a = −0.130465 + 0.866414I
b = −1.187070 − 0.231146I
0.27244 − 11.50010I 0
u = 0.119603 + 0.438704I
a = 0.638790 + 0.293626I
b = 0.271986 − 0.402639I
−0.258253 + 1.098230I −3.90317 − 4.93034I
u = 0.119603 − 0.438704I
a = 0.638790 − 0.293626I
b = 0.271986 + 0.402639I
−0.258253 − 1.098230I −3.90317 + 4.93034I
u = 0.17094 + 1.54541I
a = 0.398547 + 0.689632I
b = −0.985058 − 0.494481I
5.00937 − 10.36970I 0
u = 0.17094 − 1.54541I
a = 0.398547 − 0.689632I
b = −0.985058 + 0.494481I
5.00937 + 10.36970I 0
u = −0.134549 + 0.407002I
a = −1.37356 − 3.25758I
b = −1.233410 + 0.352558I
0.08475 + 6.24100I −1.25730 − 5.53332I
u = −0.134549 − 0.407002I
a = −1.37356 + 3.25758I
b = −1.233410 − 0.352558I
0.08475 − 6.24100I −1.25730 + 5.53332I
u = −0.402471 + 0.012592I
a = 0.637973 + 0.290070I
b = 0.385568 − 0.679782I
0.88956 + 2.71106I −2.39539 − 3.77711I
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.402471 − 0.012592I
a = 0.637973 − 0.290070I
b = 0.385568 + 0.679782I
0.88956 − 2.71106I −2.39539 + 3.77711I
u = 0.42660 + 1.56338I
a = −0.406708 − 0.250358I
b = 1.086230 − 0.035717I
−1.43006 + 1.73859I 0
u = 0.42660 − 1.56338I
a = −0.406708 + 0.250358I
b = 1.086230 + 0.035717I
−1.43006 − 1.73859I 0
u = 0.296683 + 0.211677I
a = −1.47678 − 0.04423I
b = −1.45484 + 0.23814I
−5.03007 + 5.97986I −11.0370 − 11.8347I
u = 0.296683 − 0.211677I
a = −1.47678 + 0.04423I
b = −1.45484 − 0.23814I
−5.03007 − 5.97986I −11.0370 + 11.8347I
u = −1.14745 + 1.17747I
a = 0.136191 + 0.399887I
b = 0.898002 − 0.104186I
−1.86432 + 1.84715I 0
u = −1.14745 − 1.17747I
a = 0.136191 − 0.399887I
b = 0.898002 + 0.104186I
−1.86432 − 1.84715I 0
u = 0.349258 + 0.054456I
a = −0.997958 + 0.977378I
b = −1.44694 − 0.23115I
−5.03825 − 5.98954I −7.90773 + 11.61503I
u = 0.349258 − 0.054456I
a = −0.997958 − 0.977378I
b = −1.44694 + 0.23115I
−5.03825 + 5.98954I −7.90773 − 11.61503I
u = 1.67669
a = −1.67862
b = −1.68375
−10.1754 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.017112 + 0.316988I
a = −4.12761 + 1.60874I
b = −1.291020 − 0.107394I
−5.04749 − 2.64059I −12.73038 + 4.35414I
u = 0.017112 − 0.316988I
a = −4.12761 − 1.60874I
b = −1.291020 + 0.107394I
−5.04749 + 2.64059I −12.73038 − 4.35414I
u = −0.050760 + 0.210708I
a = −2.35818 + 0.76995I
b = −1.42065 − 0.18546I
−5.84273 − 3.32366I −17.3616 − 3.0372I
u = −0.050760 − 0.210708I
a = −2.35818 − 0.76995I
b = −1.42065 + 0.18546I
−5.84273 + 3.32366I −17.3616 + 3.0372I
23
II. I
u
2
= h−6.35 × 10
39
u
46
+ 2.03 × 10
39
u
45
+ · · · + 3.62 × 10
36
b + 1.99 ×
10
38
, −1.15 × 10
40
u
46
+ 4.71 × 10
39
u
45
+ · · · + 3.62 × 10
36
a + 5.75 ×
10
38
, 4u
47
− 2u
46
+ · · · + 2u − 1i
(i) Arc colorings
a
3
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
12
=
3183.01u
46
− 1299.08u
45
+ ··· − 3266.51u − 158.579
1751.85u
46
− 560.166u
45
+ ··· − 1411.21u − 54.9083
a
8
=
−3296.02u
46
+ 844.129u
45
+ ··· + 1760.48u + 90.5380
−250.316u
46
+ 229.209u
45
+ ··· + 338.222u − 173.035
a
2
=
u
u
3
+ u
a
11
=
4934.86u
46
− 1859.24u
45
+ ··· − 4677.73u − 213.487
1751.85u
46
− 560.166u
45
+ ··· − 1411.21u − 54.9083
a
5
=
−2562.19u
46
+ 827.495u
45
+ ··· + 2445.98u + 352.412
1020.23u
46
− 496.109u
45
+ ··· − 1000.02u + 56.1341
a
9
=
271.510u
46
+ 1001.13u
45
+ ··· + 1109.67u − 852.972
−1592.74u
46
+ 1635.50u
45
+ ··· + 2613.91u − 832.672
a
10
=
871.596u
46
+ 772.561u
45
+ ··· + 605.683u − 844.107
−1169.79u
46
+ 1450.85u
45
+ ··· + 2224.21u − 805.939
a
1
=
289.755u
46
− 1103.45u
45
+ ··· − 2141.98u + 826.842
−577.189u
46
− 288.427u
45
+ ··· − 153.868u + 464.687
a
4
=
1980.62u
46
− 1620.58u
45
+ ··· − 2463.57u + 709.849
1607.02u
46
− 1111.53u
45
+ ··· − 2093.06u + 473.744
(ii) Obstruction class = 1
(iii) Cusp Shapes = −14903.8u
46
+ 9580.28u
45
+ ··· + 19145.2u − 3317.60
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
47
− 5u
46
+ ··· − 26u − 11
c
2
4(4u
47
+ 2u
46
+ ··· + 2u + 1)
c
3
4(4u
47
− 6u
46
+ ··· − 9u + 7)
c
4
u
47
+ 5u
46
+ ··· − 26u + 11
c
5
u
47
+ 4u
46
+ ··· − 44u − 7
c
6
4(4u
47
− 2u
46
+ ··· + 2u − 1)
c
7
u
47
+ 6u
46
+ ··· + 464u + 448
c
8
u
47
− 2u
46
+ ··· − 374u − 92
c
9
4(4u
47
− 2u
46
+ ··· + 12u − 1)
c
10
16(16u
47
+ 452u
46
+ ··· + 25u + 1)
c
11
u
47
− 4u
46
+ ··· − 44u + 7
c
12
u
47
− 6u
46
+ ··· + 112u + 32
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
47
+ 29y
46
+ ··· − 1128y −121
c
2
, c
6
16(16y
47
+ 436y
46
+ ··· − 44y −1)
c
3
16(16y
47
+ 372y
46
+ ··· + 3735y −49)
c
5
, c
11
y
47
− 28y
46
+ ··· + 788y −49
c
7
y
47
− 34y
46
+ ··· + 1394432y −200704
c
8
y
47
+ 20y
46
+ ··· − 375140y −8464
c
9
16(16y
47
+ 212y
46
+ ··· + 176y −1)
c
10
256(256y
47
− 7536y
46
+ ··· + 69y −1)
c
12
y
47
− 22y
46
+ ··· + 256y −1024
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.328385 + 0.965643I
a = −0.39992 − 1.69323I
b = 0.221731 + 0.743367I
1.59822 + 4.39500I 0
u = −0.328385 − 0.965643I
a = −0.39992 + 1.69323I
b = 0.221731 − 0.743367I
1.59822 − 4.39500I 0
u = 0.372015 + 0.891119I
a = 1.62026 − 1.78188I
b = −0.11915 + 1.97919I
7.00386 − 1.55548I 32.6296 − 23.6911I
u = 0.372015 − 0.891119I
a = 1.62026 + 1.78188I
b = −0.11915 − 1.97919I
7.00386 + 1.55548I 32.6296 + 23.6911I
u = 0.373362 + 0.966215I
a = −0.896248 + 0.171297I
b = −1.356610 − 0.020960I
−3.99684 − 3.77292I 0
u = 0.373362 − 0.966215I
a = −0.896248 − 0.171297I
b = −1.356610 + 0.020960I
−3.99684 + 3.77292I 0
u = −0.286699 + 1.011400I
a = 0.812610 + 1.089630I
b = −0.163011 − 0.820284I
1.68099 + 0.83477I 0
u = −0.286699 − 1.011400I
a = 0.812610 − 1.089630I
b = −0.163011 + 0.820284I
1.68099 − 0.83477I 0
u = 0.939244 + 0.128508I
a = −0.311096 + 0.118870I
b = −1.280900 − 0.231588I
−5.75239 − 5.08827I 0
u = 0.939244 − 0.128508I
a = −0.311096 − 0.118870I
b = −1.280900 + 0.231588I
−5.75239 + 5.08827I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.229764 + 0.908244I
a = 0.408740 − 0.587104I
b = 0.172807 + 0.606694I
1.18300 − 2.04251I 0
u = −0.229764 − 0.908244I
a = 0.408740 + 0.587104I
b = 0.172807 − 0.606694I
1.18300 + 2.04251I 0
u = −1.060540 + 0.200239I
a = −0.700646 + 0.022555I
b = −0.262881 − 0.515843I
−2.21986 + 2.49706I 0
u = −1.060540 − 0.200239I
a = −0.700646 − 0.022555I
b = −0.262881 + 0.515843I
−2.21986 − 2.49706I 0
u = 0.056900 + 0.892513I
a = 0.279535 + 1.066590I
b = 0.245091 − 0.755735I
0.863089 + 0.188490I −4.00000 + 0.I
u = 0.056900 − 0.892513I
a = 0.279535 − 1.066590I
b = 0.245091 + 0.755735I
0.863089 − 0.188490I −4.00000 + 0.I
u = −0.537609 + 1.014750I
a = −0.515293 − 0.986559I
b = −1.392200 + 0.142273I
−0.05029 + 8.80381I 0
u = −0.537609 − 1.014750I
a = −0.515293 + 0.986559I
b = −1.392200 − 0.142273I
−0.05029 − 8.80381I 0
u = 0.336429 + 1.105390I
a = 1.078940 − 0.388633I
b = −0.332196 + 0.035427I
5.26723 + 1.61167I 0
u = 0.336429 − 1.105390I
a = 1.078940 + 0.388633I
b = −0.332196 − 0.035427I
5.26723 − 1.61167I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.358664 + 0.756480I
a = −1.32786 + 1.86534I
b = 0.331226 − 0.431471I
3.75854 − 4.56032I 3.16500 + 3.08699I
u = 0.358664 − 0.756480I
a = −1.32786 − 1.86534I
b = 0.331226 + 0.431471I
3.75854 + 4.56032I 3.16500 − 3.08699I
u = −0.636072 + 0.986185I
a = 0.13691 + 2.09724I
b = 1.34756 − 0.51734I
−0.36285 + 8.71646I 0
u = −0.636072 − 0.986185I
a = 0.13691 − 2.09724I
b = 1.34756 + 0.51734I
−0.36285 − 8.71646I 0
u = 0.712745 + 0.991062I
a = −0.912789 + 0.971509I
b = −0.16456 − 1.43661I
4.85665 − 2.93828I 0
u = 0.712745 − 0.991062I
a = −0.912789 − 0.971509I
b = −0.16456 + 1.43661I
4.85665 + 2.93828I 0
u = −0.625719 + 1.055940I
a = −0.204146 + 0.298982I
b = −1.41546 − 0.39204I
−0.26511 − 3.35102I 0
u = −0.625719 − 1.055940I
a = −0.204146 − 0.298982I
b = −1.41546 + 0.39204I
−0.26511 + 3.35102I 0
u = 0.495824 + 1.132560I
a = −0.37665 − 1.83720I
b = 1.36864 + 0.49577I
−2.34012 − 9.25044I 0
u = 0.495824 − 1.132560I
a = −0.37665 + 1.83720I
b = 1.36864 − 0.49577I
−2.34012 + 9.25044I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.662602 + 1.117920I
a = −0.066224 − 1.196720I
b = −0.763178 + 0.352164I
−0.72080 + 5.50751I 0
u = −0.662602 − 1.117920I
a = −0.066224 + 1.196720I
b = −0.763178 − 0.352164I
−0.72080 − 5.50751I 0
u = 0.532006 + 1.253870I
a = 0.775705 + 1.006620I
b = −0.822543 − 0.221396I
2.78349 − 9.92226I 0
u = 0.532006 − 1.253870I
a = 0.775705 − 1.006620I
b = −0.822543 + 0.221396I
2.78349 + 9.92226I 0
u = 0.225598 + 0.538458I
a = −0.393745 + 0.080851I
b = −1.49390 + 0.26101I
−4.81427 + 5.68858I 3.01824 + 5.38660I
u = 0.225598 − 0.538458I
a = −0.393745 − 0.080851I
b = −1.49390 − 0.26101I
−4.81427 − 5.68858I 3.01824 − 5.38660I
u = −0.232071 + 0.503377I
a = 1.41794 + 3.70018I
b = 1.315840 − 0.224973I
−2.24001 − 4.44923I −5.41620 + 3.23270I
u = −0.232071 − 0.503377I
a = 1.41794 − 3.70018I
b = 1.315840 + 0.224973I
−2.24001 + 4.44923I −5.41620 − 3.23270I
u = 0.071761 + 0.540633I
a = −0.507295 + 0.008812I
b = −1.46802 − 0.16514I
−5.55349 − 3.45064I 6.28110 + 6.98962I
u = 0.071761 − 0.540633I
a = −0.507295 − 0.008812I
b = −1.46802 + 0.16514I
−5.55349 + 3.45064I 6.28110 − 6.98962I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.013024 + 0.535623I
a = −0.50375 + 6.16837I
b = 1.024720 − 0.293663I
−1.22810 + 7.18003I −2.99486 − 11.43216I
u = 0.013024 − 0.535623I
a = −0.50375 − 6.16837I
b = 1.024720 + 0.293663I
−1.22810 − 7.18003I −2.99486 + 11.43216I
u = 0.084449 + 0.487077I
a = 1.45742 − 5.59096I
b = 1.150110 + 0.241168I
−5.86249 − 1.24973I −10.07188 + 3.74624I
u = 0.084449 − 0.487077I
a = 1.45742 + 5.59096I
b = 1.150110 − 0.241168I
−5.86249 + 1.24973I −10.07188 − 3.74624I
u = 1.68161
a = 1.67147
b = 1.68593
−10.1701 0
u = −0.56336 + 2.02188I
a = −0.208122 + 0.198986I
b = 1.013910 − 0.056644I
−1.66284 + 1.84757I 0
u = −0.56336 − 2.02188I
a = −0.208122 − 0.198986I
b = 1.013910 + 0.056644I
−1.66284 − 1.84757I 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
47
− 5u
46
+ ··· − 26u − 11)(u
184
− 6u
183
+ ··· − 249u + 23)
c
2
16(4u
47
+ 2u
46
+ ··· + 2u + 1)(4u
184
+ 18u
183
+ ··· − u − 1)
c
3
16(4u
47
− 6u
46
+ ··· − 9u + 7)
· (4u
184
+ 10u
183
+ ··· + 6499876u − 332573)
c
4
(u
47
+ 5u
46
+ ··· − 26u + 11)(u
184
− 6u
183
+ ··· − 249u + 23)
c
5
(u
47
+ 4u
46
+ ··· − 44u − 7)(u
184
− 5u
183
+ ··· − 626819u − 61241)
c
6
16(4u
47
− 2u
46
+ ··· + 2u − 1)(4u
184
+ 18u
183
+ ··· − u − 1)
c
7
(u
47
+ 6u
46
+ ··· + 464u + 448)
· (u
184
+ 3u
183
+ ··· − 584840944u + 146659264)
c
8
(u
47
− 2u
46
+ ··· − 374u − 92)
· (u
184
− 7u
183
+ ··· − 15606197942u − 994895348)
c
9
16(4u
47
− 2u
46
+ ··· + 12u − 1)(4u
184
− 6u
183
+ ··· + 64953u + 127)
c
10
256(16u
47
+ 452u
46
+ ··· + 25u + 1)
· (16u
184
+ 372u
183
+ ··· + 25292768u + 2248063)
c
11
(u
47
− 4u
46
+ ··· − 44u + 7)(u
184
− 5u
183
+ ··· − 626819u − 61241)
c
12
(u
47
− 6u
46
+ ··· + 112u + 32)
· (u
184
+ 15u
183
+ ··· + 3307328u + 94624)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
47
+ 29y
46
+ ··· − 1128y −121)
· (y
184
+ 112y
183
+ ··· + 67259y + 529)
c
2
, c
6
256(16y
47
+ 436y
46
+ ··· − 44y −1)
· (16y
184
+ 1444y
183
+ ··· + 75y + 1)
c
3
256(16y
47
+ 372y
46
+ ··· + 3735y −49)
· (16y
184
+ 164y
183
+ ··· − 4681383592320y + 110604800329)
c
5
, c
11
(y
47
− 28y
46
+ ··· + 788y −49)
· (y
184
− 121y
183
+ ··· + 83127663735y + 3750460081)
c
7
(y
47
− 34y
46
+ ··· + 1394432y −200704)
· (y
184
− 59y
183
+ ··· − 2085041048441058048y + 21508939717021696)
c
8
(y
47
+ 20y
46
+ ··· − 375140y −8464)
· (y
184
+ 67y
183
+ ··· + 1.72 × 10
19
y + 9.90 × 10
17
)
c
9
256(16y
47
+ 212y
46
+ ··· + 176y −1)
· (16y
184
− 60y
183
+ ··· − 4554832101y + 16129)
c
10
65536(256y
47
− 7536y
46
+ ··· + 69y −1)
· (256y
184
− 9328y
183
+ ··· − 317358447741910y + 5053787251969)
c
12
(y
47
− 22y
46
+ ··· + 256y −1024)
· (y
184
+ 5y
183
+ ··· + 1539978428928y + 8953701376)
35
