12a
0309
(K12a
0309
)
A knot diagram
1
Linearized knot diagam
3 6 8 10 9 2 11 1 12 4 7 5
Solving Sequence
5,10
4
1,11
12 9 6 8 3 2 7
c
4
c
10
c
12
c
9
c
5
c
8
c
3
c
2
c
7
c
1
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.39225 × 10
858
u
153
+ 1.90990 × 10
859
u
152
+ ··· + 1.42535 × 10
862
b + 1.18889 × 10
864
,
− 2.84840 × 10
864
u
153
+ 5.22709 × 10
864
u
152
+ ··· + 1.60581 × 10
867
a + 7.40412 × 10
868
,
u
154
− u
153
+ ··· − 1143847u + 112661i
I
u
2
= h−4.22889 × 10
38
u
45
− 7.22511 × 10
39
u
44
+ ··· + 4.86508 × 10
38
b − 1.65490 × 10
40
,
− 2.30560 × 10
40
u
45
− 1.40190 × 10
40
u
44
+ ··· + 1.45952 × 10
39
a − 3.45185 × 10
40
,
u
46
+ 21u
44
+ ··· + 3u + 1i
I
u
3
= hb − u, a, u
14
+ 2u
12
+ u
10
+ 2u
8
+ u
7
+ 2u
6
+ u
5
+ u
2
+ u + 1i
* 3 irreducible components of dim
C
= 0, with total 214 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−3.39 × 10
858
u
153
+ 1.91 × 10
859
u
152
+ · · · + 1.43 × 10
862
b + 1.19 ×
10
864
, −2.85 × 10
864
u
153
+ 5.23 × 10
864
u
152
+ · · · + 1.61 × 10
867
a + 7.40 ×
10
868
, u
154
− u
153
+ · · · − 1143847u + 112661i
(i) Arc colorings
a
5
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
1
=
0.00177381u
153
− 0.00325511u
152
+ ··· + 671.644u − 46.1082
0.000237994u
153
− 0.00133995u
152
+ ··· + 878.554u − 83.4103
a
11
=
−u
u
3
+ u
a
12
=
0.00153581u
153
− 0.00191516u
152
+ ··· − 206.910u + 37.3021
0.000237994u
153
− 0.00133995u
152
+ ··· + 878.554u − 83.4103
a
9
=
0.000939431u
153
− 0.00110689u
152
+ ··· + 184.723u − 17.1986
−0.000532150u
153
+ 0.000211654u
152
+ ··· + 335.198u − 37.4226
a
6
=
−0.000256300u
153
− 0.00305237u
152
+ ··· + 2848.54u − 284.248
−0.00120465u
153
+ 0.000746461u
152
+ ··· + 591.126u − 66.7312
a
8
=
−0.000589338u
153
+ 0.0000342459u
152
+ ··· + 517.802u − 53.6851
−0.00118166u
153
+ 0.00183121u
152
+ ··· − 408.716u + 32.7101
a
3
=
−0.000292379u
153
+ 0.00194373u
152
+ ··· − 1479.75u + 144.955
0.000567327u
153
− 0.00126130u
152
+ ··· + 462.941u − 40.9968
a
2
=
0.00333143u
153
− 0.00305964u
152
+ ··· − 907.570u + 112.824
0.00109675u
153
− 0.00365980u
152
+ ··· + 1903.93u − 177.939
a
7
=
0.000231030u
153
− 0.00199593u
152
+ ··· + 1354.30u − 128.116
−0.00114791u
153
+ 0.00101689u
152
+ ··· + 231.045u − 29.1577
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.00225151u
153
+ 0.00479437u
152
+ ··· − 2232.62u + 208.796
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
154
+ 70u
153
+ ··· + 2351600u + 40000
c
2
, c
6
u
154
+ 4u
153
+ ··· + 2700u + 200
c
3
u
154
− u
153
+ ··· + 2016184651u + 1384157231
c
4
, c
10
u
154
− u
153
+ ··· − 1143847u + 112661
c
5
u
154
− 4u
153
+ ··· + 55u + 1
c
7
, c
11
u
154
+ 2u
153
+ ··· − 249479005u + 13493731
c
8
u
154
+ 9u
153
+ ··· − 649198290u + 29322847
c
9
u
154
+ 18u
153
+ ··· + 290880u + 11897
c
12
u
154
− 20u
152
+ ··· − 232062u + 57347
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
154
+ 46y
153
+ ··· + 924906720000y + 1600000000
c
2
, c
6
y
154
+ 70y
153
+ ··· + 2351600y + 40000
c
3
y
154
+ 63y
153
+ ··· − 3.46 × 10
19
y + 1.92 × 10
18
c
4
, c
10
y
154
+ 139y
153
+ ··· − 104773968485y + 12692500921
c
5
y
154
+ 6y
153
+ ··· − 143y + 1
c
7
, c
11
y
154
+ 114y
153
+ ··· + 2908457925570425y + 182080776300361
c
8
y
154
+ 37y
153
+ ··· + 16647274284827280y + 859829356185409
c
9
y
154
− 34y
153
+ ··· − 6991839034y + 141538609
c
12
y
154
− 40y
153
+ ··· − 208157950460y + 3288678409
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.680276 + 0.738161I
a = −1.357200 − 0.079694I
b = −1.019250 + 0.939094I
−3.82081 − 4.81342I 0
u = 0.680276 − 0.738161I
a = −1.357200 + 0.079694I
b = −1.019250 − 0.939094I
−3.82081 + 4.81342I 0
u = 0.504148 + 0.841661I
a = −1.55694 − 1.18967I
b = −0.961833 + 0.610685I
0.64778 − 3.05199I 0
u = 0.504148 − 0.841661I
a = −1.55694 + 1.18967I
b = −0.961833 − 0.610685I
0.64778 + 3.05199I 0
u = −0.285517 + 0.927898I
a = 2.35344 − 0.97712I
b = 1.080010 + 0.419366I
0.18002 + 6.26907I 0
u = −0.285517 − 0.927898I
a = 2.35344 + 0.97712I
b = 1.080010 − 0.419366I
0.18002 − 6.26907I 0
u = −0.610780 + 0.742892I
a = −2.09941 − 0.95812I
b = −1.75886 − 1.25119I
−1.34690 + 2.43834I 0
u = −0.610780 − 0.742892I
a = −2.09941 + 0.95812I
b = −1.75886 + 1.25119I
−1.34690 − 2.43834I 0
u = −0.300717 + 0.908720I
a = 1.062630 − 0.089277I
b = 0.744562 + 0.867791I
0.68630 + 2.30026I 0
u = −0.300717 − 0.908720I
a = 1.062630 + 0.089277I
b = 0.744562 − 0.867791I
0.68630 − 2.30026I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.385458 + 0.850098I
a = 0.097392 + 1.025470I
b = 0.448483 + 1.102820I
−3.41216 + 0.66021I 0
u = 0.385458 − 0.850098I
a = 0.097392 − 1.025470I
b = 0.448483 − 1.102820I
−3.41216 − 0.66021I 0
u = −0.110996 + 1.083840I
a = −0.138900 + 0.057689I
b = −0.629890 − 0.584548I
1.32837 − 5.00544I 0
u = −0.110996 − 1.083840I
a = −0.138900 − 0.057689I
b = −0.629890 + 0.584548I
1.32837 + 5.00544I 0
u = −0.096899 + 1.146000I
a = 2.75265 − 0.12374I
b = 1.74385 − 0.15037I
1.26900 − 1.14595I 0
u = −0.096899 − 1.146000I
a = 2.75265 + 0.12374I
b = 1.74385 + 0.15037I
1.26900 + 1.14595I 0
u = −0.844043 + 0.048061I
a = −0.217403 + 0.102016I
b = −0.811064 + 0.891451I
−4.46898 − 1.86070I 0
u = −0.844043 − 0.048061I
a = −0.217403 − 0.102016I
b = −0.811064 − 0.891451I
−4.46898 + 1.86070I 0
u = −0.825409 + 0.082473I
a = −1.49726 + 0.21682I
b = −0.943008 − 0.954276I
1.87730 − 7.43583I 0
u = −0.825409 − 0.082473I
a = −1.49726 − 0.21682I
b = −0.943008 + 0.954276I
1.87730 + 7.43583I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.028330 + 1.171140I
a = 0.82002 + 2.31604I
b = 0.82307 + 2.55897I
1.26673 − 3.35634I 0
u = 0.028330 − 1.171140I
a = 0.82002 − 2.31604I
b = 0.82307 − 2.55897I
1.26673 + 3.35634I 0
u = −0.648227 + 0.510501I
a = −0.706411 − 0.373495I
b = 0.839916 − 0.303316I
0.10185 − 6.51912I 0
u = −0.648227 − 0.510501I
a = −0.706411 + 0.373495I
b = 0.839916 + 0.303316I
0.10185 + 6.51912I 0
u = 0.739790 + 0.347254I
a = 0.669955 − 0.037100I
b = −0.793443 − 0.224422I
1.28293 + 2.27410I 0
u = 0.739790 − 0.347254I
a = 0.669955 + 0.037100I
b = −0.793443 + 0.224422I
1.28293 − 2.27410I 0
u = 0.598042 + 1.021020I
a = −1.27886 − 0.78167I
b = −1.049090 + 0.667325I
1.77046 − 7.34207I 0
u = 0.598042 − 1.021020I
a = −1.27886 + 0.78167I
b = −1.049090 − 0.667325I
1.77046 + 7.34207I 0
u = −0.538039 + 1.073050I
a = 1.27668 − 0.62270I
b = 1.037410 + 0.638222I
2.32181 + 2.85382I 0
u = −0.538039 − 1.073050I
a = 1.27668 + 0.62270I
b = 1.037410 − 0.638222I
2.32181 − 2.85382I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.250880 + 1.176150I
a = −1.47255 + 1.02922I
b = −0.960814 − 0.615935I
2.22996 + 9.76512I 0
u = −0.250880 − 1.176150I
a = −1.47255 − 1.02922I
b = −0.960814 + 0.615935I
2.22996 − 9.76512I 0
u = −0.150902 + 1.197400I
a = −1.87161 + 0.75958I
b = −1.041870 − 0.664675I
1.33987 + 2.44790I 0
u = −0.150902 − 1.197400I
a = −1.87161 − 0.75958I
b = −1.041870 + 0.664675I
1.33987 − 2.44790I 0
u = 0.213634 + 1.193460I
a = 0.494881 − 0.200383I
b = 0.701619 − 0.724730I
4.05101 + 0.41529I 0
u = 0.213634 − 1.193460I
a = 0.494881 + 0.200383I
b = 0.701619 + 0.724730I
4.05101 − 0.41529I 0
u = 0.176146 + 1.208500I
a = −2.46754 + 0.14885I
b = −1.82483 + 0.65605I
4.34975 − 3.97955I 0
u = 0.176146 − 1.208500I
a = −2.46754 − 0.14885I
b = −1.82483 − 0.65605I
4.34975 + 3.97955I 0
u = −0.409723 + 1.154180I
a = −0.234750 − 0.814571I
b = −0.264992 − 1.053720I
−0.58320 + 3.01376I 0
u = −0.409723 − 1.154180I
a = −0.234750 + 0.814571I
b = −0.264992 + 1.053720I
−0.58320 − 3.01376I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.155735 + 1.218650I
a = 0.969284 − 0.800962I
b = 0.484991 + 0.217555I
0.70263 + 1.39575I 0
u = −0.155735 − 1.218650I
a = 0.969284 + 0.800962I
b = 0.484991 − 0.217555I
0.70263 − 1.39575I 0
u = −0.751725 + 0.135973I
a = −0.002277 + 0.176126I
b = −0.922149 − 0.840079I
−1.18918 + 9.46525I 0
u = −0.751725 − 0.135973I
a = −0.002277 − 0.176126I
b = −0.922149 + 0.840079I
−1.18918 − 9.46525I 0
u = −0.186399 + 1.248160I
a = 1.96091 + 1.45626I
b = 0.609034 − 0.093752I
7.81077 + 9.34359I 0
u = −0.186399 − 1.248160I
a = 1.96091 − 1.45626I
b = 0.609034 + 0.093752I
7.81077 − 9.34359I 0
u = −0.109360 + 1.274490I
a = 1.26238 + 0.85032I
b = 0.731284 − 0.262524I
4.64815 + 2.86380I 0
u = −0.109360 − 1.274490I
a = 1.26238 − 0.85032I
b = 0.731284 + 0.262524I
4.64815 − 2.86380I 0
u = 0.222707 + 1.261150I
a = 1.47489 + 0.69500I
b = 0.924337 − 0.691392I
4.63470 − 5.73526I 0
u = 0.222707 − 1.261150I
a = 1.47489 − 0.69500I
b = 0.924337 + 0.691392I
4.63470 + 5.73526I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.704061 + 0.123618I
a = 1.88251 + 0.13761I
b = 0.990278 − 0.857898I
4.23750 + 1.62869I 0
u = 0.704061 − 0.123618I
a = 1.88251 − 0.13761I
b = 0.990278 + 0.857898I
4.23750 − 1.62869I 0
u = 0.193314 + 1.271610I
a = −2.05285 + 1.13190I
b = −0.670798 − 0.064763I
9.49465 − 4.18882I 0
u = 0.193314 − 1.271610I
a = −2.05285 − 1.13190I
b = −0.670798 + 0.064763I
9.49465 + 4.18882I 0
u = 0.323783 + 1.250010I
a = −0.65894 − 1.57180I
b = −0.72310 − 1.97844I
7.73141 − 5.42666I 0
u = 0.323783 − 1.250010I
a = −0.65894 + 1.57180I
b = −0.72310 + 1.97844I
7.73141 + 5.42666I 0
u = −0.378323 + 1.241380I
a = 1.97051 − 0.14474I
b = 1.30514 + 0.80182I
−0.74937 + 6.21479I 0
u = −0.378323 − 1.241380I
a = 1.97051 + 0.14474I
b = 1.30514 − 0.80182I
−0.74937 − 6.21479I 0
u = −0.597108 + 0.363941I
a = 0.52684 − 1.70497I
b = 0.586518 + 0.608844I
−0.30752 + 6.59655I 0. − 11.22925I
u = −0.597108 − 0.363941I
a = 0.52684 + 1.70497I
b = 0.586518 − 0.608844I
−0.30752 − 6.59655I 0. + 11.22925I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.688105 + 0.075351I
a = −0.0773368 + 0.0429747I
b = 0.893669 − 0.808821I
0.76910 − 4.17192I 0. + 2.96945I
u = 0.688105 − 0.075351I
a = −0.0773368 − 0.0429747I
b = 0.893669 + 0.808821I
0.76910 + 4.17192I 0. − 2.96945I
u = 1.268200 + 0.323241I
a = −0.563489 − 0.040982I
b = −0.965910 + 0.857200I
2.0993 − 14.0844I 0
u = 1.268200 − 0.323241I
a = −0.563489 + 0.040982I
b = −0.965910 − 0.857200I
2.0993 + 14.0844I 0
u = −0.644823 + 0.248468I
a = 0.519385 − 1.059250I
b = 0.249825 + 0.560299I
−1.62100 + 1.20613I −7.60402 − 3.45153I
u = −0.644823 − 0.248468I
a = 0.519385 + 1.059250I
b = 0.249825 − 0.560299I
−1.62100 − 1.20613I −7.60402 + 3.45153I
u = 0.197940 + 1.309880I
a = −1.144590 − 0.792199I
b = −0.648796 − 0.039742I
4.78088 + 0.89314I 0
u = 0.197940 − 1.309880I
a = −1.144590 + 0.792199I
b = −0.648796 + 0.039742I
4.78088 − 0.89314I 0
u = −0.366020 + 1.283300I
a = 0.538304 − 1.269530I
b = 0.68317 − 1.69217I
5.68046 + 11.74420I 0
u = −0.366020 − 1.283300I
a = 0.538304 + 1.269530I
b = 0.68317 + 1.69217I
5.68046 − 11.74420I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.068747 + 1.334440I
a = −1.70094 − 0.41918I
b = −1.32420 − 1.22528I
10.51040 + 0.51748I 0
u = 0.068747 − 1.334440I
a = −1.70094 + 0.41918I
b = −1.32420 + 1.22528I
10.51040 − 0.51748I 0
u = −1.311270 + 0.351892I
a = 0.535009 + 0.043527I
b = 0.921441 + 0.842470I
4.16992 + 8.03328I 0
u = −1.311270 − 0.351892I
a = 0.535009 − 0.043527I
b = 0.921441 − 0.842470I
4.16992 − 8.03328I 0
u = 0.260400 + 1.332790I
a = −1.221840 − 0.597544I
b = −0.914134 + 0.086477I
5.87617 − 0.94126I 0
u = 0.260400 − 1.332790I
a = −1.221840 + 0.597544I
b = −0.914134 − 0.086477I
5.87617 + 0.94126I 0
u = −0.019416 + 1.366180I
a = 1.58183 − 0.20607I
b = 1.18386 − 1.15904I
9.71919 − 6.43143I 0
u = −0.019416 − 1.366180I
a = 1.58183 + 0.20607I
b = 1.18386 + 1.15904I
9.71919 + 6.43143I 0
u = 0.343333 + 1.322870I
a = 1.126390 + 0.665558I
b = 0.817853 − 0.559738I
4.64612 − 6.23300I 0
u = 0.343333 − 1.322870I
a = 1.126390 − 0.665558I
b = 0.817853 + 0.559738I
4.64612 + 6.23300I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.292774 + 1.338060I
a = −1.90173 + 0.06786I
b = −1.41632 + 0.97929I
5.27154 − 7.74314I 0
u = 0.292774 − 1.338060I
a = −1.90173 − 0.06786I
b = −1.41632 − 0.97929I
5.27154 + 7.74314I 0
u = 0.228793 + 1.355920I
a = −2.19820 + 0.41200I
b = −0.867242 + 0.040306I
9.00297 − 1.63390I 0
u = 0.228793 − 1.355920I
a = −2.19820 − 0.41200I
b = −0.867242 − 0.040306I
9.00297 + 1.63390I 0
u = −0.332579 + 1.337410I
a = 1.158610 − 0.535980I
b = 1.006520 + 0.206702I
4.87714 + 5.80776I 0
u = −0.332579 − 1.337410I
a = 1.158610 + 0.535980I
b = 1.006520 − 0.206702I
4.87714 − 5.80776I 0
u = −0.196346 + 1.364170I
a = 1.061220 − 0.755691I
b = 0.545958 − 0.147343I
2.52598 − 5.68055I 0
u = −0.196346 − 1.364170I
a = 1.061220 + 0.755691I
b = 0.545958 + 0.147343I
2.52598 + 5.68055I 0
u = 1.381480 + 0.131996I
a = −0.073790 + 0.234969I
b = −0.642619 + 0.376564I
4.60223 + 3.87306I 0
u = 1.381480 − 0.131996I
a = −0.073790 − 0.234969I
b = −0.642619 − 0.376564I
4.60223 − 3.87306I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.322729 + 1.363620I
a = 1.83712 + 0.01992I
b = 1.35412 + 1.00345I
3.58085 + 13.37050I 0
u = −0.322729 − 1.363620I
a = 1.83712 − 0.01992I
b = 1.35412 − 1.00345I
3.58085 − 13.37050I 0
u = −0.496958 + 0.330419I
a = 0.793994 − 0.109908I
b = −0.124310 + 0.607419I
−1.048750 + 0.872309I −5.68371 − 3.75181I
u = −0.496958 − 0.330419I
a = 0.793994 + 0.109908I
b = −0.124310 − 0.607419I
−1.048750 − 0.872309I −5.68371 + 3.75181I
u = −0.339841 + 0.481414I
a = −1.18623 − 0.83581I
b = 0.770096 − 0.366821I
−1.070700 − 0.587732I −2.64012 + 2.27476I
u = −0.339841 − 0.481414I
a = −1.18623 + 0.83581I
b = 0.770096 + 0.366821I
−1.070700 + 0.587732I −2.64012 − 2.27476I
u = 0.22777 + 1.40559I
a = 1.224270 + 0.409544I
b = 0.663510 − 0.889729I
6.23344 − 5.29443I 0
u = 0.22777 − 1.40559I
a = 1.224270 − 0.409544I
b = 0.663510 + 0.889729I
6.23344 + 5.29443I 0
u = −0.27489 + 1.39790I
a = 2.30124 + 0.19742I
b = 0.956640 + 0.144389I
6.74126 − 3.45669I 0
u = −0.27489 − 1.39790I
a = 2.30124 − 0.19742I
b = 0.956640 − 0.144389I
6.74126 + 3.45669I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.25642 + 1.40336I
a = −1.222700 + 0.472685I
b = −0.483968 − 0.628098I
3.66848 + 4.50627I 0
u = −0.25642 − 1.40336I
a = −1.222700 − 0.472685I
b = −0.483968 + 0.628098I
3.66848 − 4.50627I 0
u = −0.14074 + 1.42252I
a = 1.90968 − 0.09401I
b = 1.047510 − 0.131099I
5.16627 + 4.18257I 0
u = −0.14074 − 1.42252I
a = 1.90968 + 0.09401I
b = 1.047510 + 0.131099I
5.16627 − 4.18257I 0
u = −0.25472 + 1.41421I
a = −1.168930 + 0.447249I
b = −0.539640 − 0.881667I
5.28248 + 9.80868I 0
u = −0.25472 − 1.41421I
a = −1.168930 − 0.447249I
b = −0.539640 + 0.881667I
5.28248 − 9.80868I 0
u = −0.267646 + 0.492329I
a = −0.315896 − 0.860029I
b = −0.699615 − 0.169819I
−0.56877 + 2.28388I 0.07612 − 5.54904I
u = −0.267646 − 0.492329I
a = −0.315896 + 0.860029I
b = −0.699615 + 0.169819I
−0.56877 − 2.28388I 0.07612 + 5.54904I
u = 0.14949 + 1.43850I
a = −1.43673 − 0.20640I
b = −1.072020 − 0.163298I
6.42279 − 1.12751I 0
u = 0.14949 − 1.43850I
a = −1.43673 + 0.20640I
b = −1.072020 + 0.163298I
6.42279 + 1.12751I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.502688 + 0.155565I
a = −1.49145 − 0.91290I
b = −0.024860 + 0.735125I
−2.72966 − 4.41670I −10.79846 + 8.07506I
u = 0.502688 − 0.155565I
a = −1.49145 + 0.91290I
b = −0.024860 − 0.735125I
−2.72966 + 4.41670I −10.79846 − 8.07506I
u = 0.514706 + 0.013908I
a = 1.09140 − 1.19067I
b = −0.633607 + 0.347900I
0.80386 − 2.85548I −2.79396 + 5.91496I
u = 0.514706 − 0.013908I
a = 1.09140 + 1.19067I
b = −0.633607 − 0.347900I
0.80386 + 2.85548I −2.79396 − 5.91496I
u = 0.01912 + 1.49273I
a = 1.121410 − 0.029927I
b = 1.132680 − 0.435931I
8.33043 − 0.13737I 0
u = 0.01912 − 1.49273I
a = 1.121410 + 0.029927I
b = 1.132680 + 0.435931I
8.33043 + 0.13737I 0
u = 1.39943 + 0.52874I
a = −0.661413 + 0.343410I
b = −0.806605 + 0.991948I
−2.84104 − 4.89555I 0
u = 1.39943 − 0.52874I
a = −0.661413 − 0.343410I
b = −0.806605 − 0.991948I
−2.84104 + 4.89555I 0
u = −1.47567 + 0.25210I
a = 0.220912 + 0.254588I
b = 0.656593 + 0.606135I
5.48902 + 2.39272I 0
u = −1.47567 − 0.25210I
a = 0.220912 − 0.254588I
b = 0.656593 − 0.606135I
5.48902 − 2.39272I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.04267 + 1.52143I
a = −1.172040 − 0.075959I
b = −1.177920 − 0.346356I
8.02528 − 4.71783I 0
u = 0.04267 − 1.52143I
a = −1.172040 + 0.075959I
b = −1.177920 + 0.346356I
8.02528 + 4.71783I 0
u = 0.441937 + 0.176478I
a = 0.046932 + 0.547145I
b = 0.861445 + 0.602319I
1.33076 + 1.67738I −0.92814 − 2.26174I
u = 0.441937 − 0.176478I
a = 0.046932 − 0.547145I
b = 0.861445 − 0.602319I
1.33076 − 1.67738I −0.92814 + 2.26174I
u = 0.043999 + 0.444178I
a = −2.22475 + 0.70393I
b = −1.31736 + 0.98409I
−0.88901 + 2.88158I −13.69117 − 2.87122I
u = 0.043999 − 0.444178I
a = −2.22475 − 0.70393I
b = −1.31736 − 0.98409I
−0.88901 − 2.88158I −13.69117 + 2.87122I
u = 0.48043 + 1.50404I
a = 1.47720 − 0.29592I
b = 1.29527 − 1.00085I
10.19040 − 2.49134I 0
u = 0.48043 − 1.50404I
a = 1.47720 + 0.29592I
b = 1.29527 + 1.00085I
10.19040 + 2.49134I 0
u = 0.343617 + 0.231601I
a = 0.35256 − 2.97788I
b = −0.663018 + 0.451601I
0.82032 − 2.68863I 0.92944 + 7.03632I
u = 0.343617 − 0.231601I
a = 0.35256 + 2.97788I
b = −0.663018 − 0.451601I
0.82032 + 2.68863I 0.92944 − 7.03632I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.61586 + 1.47098I
a = 0.725922 + 0.537424I
b = 0.904312 − 0.247580I
9.0901 − 10.8840I 0
u = 0.61586 − 1.47098I
a = 0.725922 − 0.537424I
b = 0.904312 + 0.247580I
9.0901 + 10.8840I 0
u = 0.388952 + 0.106860I
a = 3.57606 − 1.28220I
b = 0.773375 + 0.625532I
5.82700 + 1.93500I 4.57092 − 2.39153I
u = 0.388952 − 0.106860I
a = 3.57606 + 1.28220I
b = 0.773375 − 0.625532I
5.82700 − 1.93500I 4.57092 + 2.39153I
u = 0.50188 + 1.51634I
a = 1.72954 + 0.10138I
b = 1.28417 − 0.92848I
7.8726 − 20.2678I 0
u = 0.50188 − 1.51634I
a = 1.72954 − 0.10138I
b = 1.28417 + 0.92848I
7.8726 + 20.2678I 0
u = −0.49897 + 1.52623I
a = −1.70634 + 0.04741I
b = −1.29913 − 0.93329I
10.0651 + 14.3028I 0
u = −0.49897 − 1.52623I
a = −1.70634 − 0.04741I
b = −1.29913 + 0.93329I
10.0651 − 14.3028I 0
u = −0.49050 + 1.53212I
a = −1.57991 − 0.17865I
b = −1.32337 − 0.97139I
11.3585 + 8.9480I 0
u = −0.49050 − 1.53212I
a = −1.57991 + 0.17865I
b = −1.32337 + 0.97139I
11.3585 − 8.9480I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.48339 + 1.53684I
a = 1.79912 − 0.06550I
b = 1.33513 − 0.91343I
3.49744 − 11.19910I 0
u = 0.48339 − 1.53684I
a = 1.79912 + 0.06550I
b = 1.33513 + 0.91343I
3.49744 + 11.19910I 0
u = −0.319497 + 0.203705I
a = −3.81484 − 2.36500I
b = −0.708567 + 0.591377I
4.50585 − 7.31636I 2.08021 + 8.71451I
u = −0.319497 − 0.203705I
a = −3.81484 + 2.36500I
b = −0.708567 − 0.591377I
4.50585 + 7.31636I 2.08021 − 8.71451I
u = −0.60983 + 1.55096I
a = −0.715684 + 0.468491I
b = −0.845883 − 0.186963I
10.27190 + 5.27603I 0
u = −0.60983 − 1.55096I
a = −0.715684 − 0.468491I
b = −0.845883 + 0.186963I
10.27190 − 5.27603I 0
u = 0.205070 + 0.186618I
a = −3.18720 + 1.70585I
b = 0.042320 + 0.809100I
−3.45549 + 1.37836I −15.0801 − 1.0679I
u = 0.205070 − 0.186618I
a = −3.18720 − 1.70585I
b = 0.042320 − 0.809100I
−3.45549 − 1.37836I −15.0801 + 1.0679I
u = 0.02699 + 1.76555I
a = 0.841150 − 0.091493I
b = 0.466114 − 0.207697I
2.72265 − 5.85992I 0
u = 0.02699 − 1.76555I
a = 0.841150 + 0.091493I
b = 0.466114 + 0.207697I
2.72265 + 5.85992I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.32710 + 1.72912I
a = 0.344718 + 0.378350I
b = 0.513341 + 0.350317I
4.92790 + 5.59223I 0
u = 1.32710 − 1.72912I
a = 0.344718 − 0.378350I
b = 0.513341 − 0.350317I
4.92790 − 5.59223I 0
u = −0.84492 + 2.11023I
a = −0.475452 + 0.243944I
b = −0.535352 + 0.083095I
7.63820 + 1.07629I 0
u = −0.84492 − 2.11023I
a = −0.475452 − 0.243944I
b = −0.535352 − 0.083095I
7.63820 − 1.07629I 0
20
II. I
u
2
= h−4.23 × 10
38
u
45
− 7.23 × 10
39
u
44
+ · · · + 4.87 × 10
38
b − 1.65 ×
10
40
, −2.31 × 10
40
u
45
− 1.40 × 10
40
u
44
+ · · · + 1.46 × 10
39
a − 3.45 ×
10
40
, u
46
+ 21u
44
+ · · · + 3u + 1i
(i) Arc colorings
a
5
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
1
=
15.7969u
45
+ 9.60517u
44
+ ··· + 84.8598u + 23.6506
0.869234u
45
+ 14.8510u
44
+ ··· + 104.091u + 34.0159
a
11
=
−u
u
3
+ u
a
12
=
14.9277u
45
− 5.24581u
44
+ ··· − 19.2313u − 10.3654
0.869234u
45
+ 14.8510u
44
+ ··· + 104.091u + 34.0159
a
9
=
4.27405u
45
+ 0.587601u
44
+ ··· + 16.5351u − 2.61769
6.33556u
45
− 8.31853u
44
+ ··· − 46.9512u − 18.3213
a
6
=
−6.18072u
45
+ 2.65001u
44
+ ··· + 8.77449u + 4.87938
13.0411u
45
+ 14.3147u
44
+ ··· + 100.988u + 26.5052
a
8
=
−21.1697u
45
+ 4.72258u
44
+ ··· − 21.0858u + 3.15118
5.33556u
45
− 8.31853u
44
+ ··· − 48.9512u − 18.3213
a
3
=
−18.9742u
45
− 21.4431u
44
+ ··· − 171.923u − 41.1991
−15.5736u
45
− 0.635634u
44
+ ··· − 38.9938u − 0.752008
a
2
=
26.6005u
45
− 35.9121u
44
+ ··· − 179.050u − 70.0084
2.12448u
45
− 7.66909u
44
+ ··· − 37.1268u − 14.2503
a
7
=
−18.8296u
45
+ 7.63038u
44
+ ··· + 3.13429u + 9.70866
4.36521u
45
− 9.86492u
44
+ ··· − 62.1078u − 21.9710
(ii) Obstruction class = 1
(iii) Cusp Shapes = 320.848u
45
− 205.377u
44
+ ··· − 545.612u − 392.646
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
46
− 28u
45
+ ··· − 222u + 9
c
2
u
46
+ 2u
45
+ ··· + 6u + 3
c
3
u
46
+ 3u
44
+ ··· − 127u + 43
c
4
u
46
+ 21u
44
+ ··· + 3u + 1
c
5
u
46
− u
45
+ ··· − 5u + 1
c
6
u
46
− 2u
45
+ ··· − 6u + 3
c
7
u
46
+ u
45
+ ··· − 7u + 1
c
8
u
46
− 12u
44
+ ··· − 4u
2
+ 1
c
9
u
46
+ 7u
45
+ ··· + 4u + 1
c
10
u
46
+ 21u
44
+ ··· − 3u + 1
c
11
u
46
− u
45
+ ··· + 7u + 1
c
12
u
46
− 5u
45
+ ··· − 8u
2
+ 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
+ 4y
45
+ ··· − 2070y + 81
c
2
, c
6
y
46
+ 28y
45
+ ··· + 222y + 9
c
3
y
46
+ 6y
45
+ ··· + 73913y + 1849
c
4
, c
10
y
46
+ 42y
45
+ ··· + 35y + 1
c
5
y
46
+ 17y
45
+ ··· + 29y + 1
c
7
, c
11
y
46
+ 21y
45
+ ··· + 37y + 1
c
8
y
46
− 24y
45
+ ··· − 8y + 1
c
9
y
46
− 19y
45
+ ··· − 18y + 1
c
12
y
46
− 5y
45
+ ··· − 16y + 1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.356305 + 0.981181I
a = −1.84798 − 1.11805I
b = −1.033190 + 0.583314I
−0.35320 − 2.76691I 0
u = 0.356305 − 0.981181I
a = −1.84798 + 1.11805I
b = −1.033190 − 0.583314I
−0.35320 + 2.76691I 0
u = 0.635240 + 0.704896I
a = −0.219024 + 0.209735I
b = 0.700690 + 0.484821I
−1.005790 − 0.989430I 0
u = 0.635240 − 0.704896I
a = −0.219024 − 0.209735I
b = 0.700690 − 0.484821I
−1.005790 + 0.989430I 0
u = 0.301079 + 0.869165I
a = −1.40262 − 1.35830I
b = −0.999846 + 0.606614I
1.09901 − 8.98077I −2.00000 + 8.84858I
u = 0.301079 − 0.869165I
a = −1.40262 + 1.35830I
b = −0.999846 − 0.606614I
1.09901 + 8.98077I −2.00000 − 8.84858I
u = −0.524204 + 0.699585I
a = −2.47170 − 0.81211I
b = −2.07019 − 1.16023I
−1.44267 + 2.49355I −40.5197 − 17.6874I
u = −0.524204 − 0.699585I
a = −2.47170 + 0.81211I
b = −2.07019 + 1.16023I
−1.44267 − 2.49355I −40.5197 + 17.6874I
u = −0.344889 + 0.801624I
a = 1.25932 − 1.14660I
b = 1.006620 + 0.619972I
2.75209 + 4.32012I 3.60017 − 4.78552I
u = −0.344889 − 0.801624I
a = 1.25932 + 1.14660I
b = 1.006620 − 0.619972I
2.75209 − 4.32012I 3.60017 + 4.78552I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.448856 + 1.062100I
a = 1.92345 − 0.71946I
b = 1.086610 + 0.592521I
0.45237 + 5.33557I 0
u = −0.448856 − 1.062100I
a = 1.92345 + 0.71946I
b = 1.086610 − 0.592521I
0.45237 − 5.33557I 0
u = −0.011978 + 1.204950I
a = 1.09499 + 1.26161I
b = 0.78369 + 1.80507I
1.40437 − 3.00424I 0
u = −0.011978 − 1.204950I
a = 1.09499 − 1.26161I
b = 0.78369 − 1.80507I
1.40437 + 3.00424I 0
u = −0.000196 + 1.211600I
a = 0.332898 − 0.428094I
b = 0.113554 + 1.037010I
−0.72858 + 1.58603I 0
u = −0.000196 − 1.211600I
a = 0.332898 + 0.428094I
b = 0.113554 − 1.037010I
−0.72858 − 1.58603I 0
u = −0.000064 + 0.707925I
a = 0.12760 + 1.49357I
b = −0.113834 + 0.972701I
−2.74184 − 1.58572I −2.29677 + 4.84383I
u = −0.000064 − 0.707925I
a = 0.12760 − 1.49357I
b = −0.113834 − 0.972701I
−2.74184 + 1.58572I −2.29677 − 4.84383I
u = −0.004268 + 0.695036I
a = −0.698602 + 1.189530I
b = −0.84768 + 1.55346I
−0.59646 + 3.11057I −0.1014 − 15.3427I
u = −0.004268 − 0.695036I
a = −0.698602 − 1.189530I
b = −0.84768 − 1.55346I
−0.59646 − 3.11057I −0.1014 + 15.3427I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.304445 + 1.276800I
a = 0.098631 + 0.586404I
b = −0.261556 − 0.742500I
6.81422 + 9.83475I 0
u = −0.304445 − 1.276800I
a = 0.098631 − 0.586404I
b = −0.261556 + 0.742500I
6.81422 − 9.83475I 0
u = 0.330247 + 1.275760I
a = −0.231582 − 0.165978I
b = 0.115057 − 1.013100I
8.09241 − 4.39798I 0
u = 0.330247 − 1.275760I
a = −0.231582 + 0.165978I
b = 0.115057 + 1.013100I
8.09241 + 4.39798I 0
u = 1.105670 + 0.727190I
a = −0.880647 + 0.140450I
b = −0.857379 + 0.917815I
−3.08315 − 4.24616I 0
u = 1.105670 − 0.727190I
a = −0.880647 − 0.140450I
b = −0.857379 − 0.917815I
−3.08315 + 4.24616I 0
u = −0.242127 + 1.340620I
a = −1.21421 + 0.93829I
b = −0.619849 − 0.548650I
4.24631 + 4.85559I 0
u = −0.242127 − 1.340620I
a = −1.21421 − 0.93829I
b = −0.619849 + 0.548650I
4.24631 − 4.85559I 0
u = −0.464336 + 0.429225I
a = 0.411376 − 0.589278I
b = −0.804776 + 0.450712I
−1.50899 − 1.43410I −7.36239 + 0.11490I
u = −0.464336 − 0.429225I
a = 0.411376 + 0.589278I
b = −0.804776 − 0.450712I
−1.50899 + 1.43410I −7.36239 − 0.11490I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.051454 + 1.412250I
a = −1.43897 + 0.19267I
b = −1.045900 − 0.104796I
6.65462 − 2.11600I 0
u = 0.051454 − 1.412250I
a = −1.43897 − 0.19267I
b = −1.045900 + 0.104796I
6.65462 + 2.11600I 0
u = 0.23822 + 1.41370I
a = 1.62807 + 0.50345I
b = 0.850344 − 0.552434I
3.96639 − 7.37592I 0
u = 0.23822 − 1.41370I
a = 1.62807 − 0.50345I
b = 0.850344 + 0.552434I
3.96639 + 7.37592I 0
u = −0.471690 + 0.306679I
a = −1.87113 − 0.11589I
b = 0.594049 − 0.209396I
0.48382 − 2.02414I −5.48158 − 1.98092I
u = −0.471690 − 0.306679I
a = −1.87113 + 0.11589I
b = 0.594049 + 0.209396I
0.48382 + 2.02414I −5.48158 + 1.98092I
u = −0.186257 + 0.406082I
a = 1.55110 − 1.49497I
b = 1.135920 + 0.453407I
2.02710 + 2.49131I 5.14854 − 6.40492I
u = −0.186257 − 0.406082I
a = 1.55110 + 1.49497I
b = 1.135920 − 0.453407I
2.02710 − 2.49131I 5.14854 + 6.40492I
u = −1.10887 + 1.23983I
a = 0.328354 − 0.665003I
b = 0.321011 − 0.322796I
4.89916 − 5.17194I 0
u = −1.10887 − 1.23983I
a = 0.328354 + 0.665003I
b = 0.321011 + 0.322796I
4.89916 + 5.17194I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.176854 + 0.275777I
a = 3.62391 − 0.12992I
b = −0.706384 − 0.018614I
−0.76758 + 5.38204I −5.75834 − 4.57438I
u = 0.176854 − 0.275777I
a = 3.62391 + 0.12992I
b = −0.706384 + 0.018614I
−0.76758 − 5.38204I −5.75834 + 4.57438I
u = 0.36999 + 1.70893I
a = 0.626823 + 0.402088I
b = 0.615800 + 0.121664I
3.19583 + 5.69973I 0
u = 0.36999 − 1.70893I
a = 0.626823 − 0.402088I
b = 0.615800 − 0.121664I
3.19583 − 5.69973I 0
u = 0.54712 + 1.73083I
a = −0.730040 − 0.294105I
b = −0.462775 − 0.271259I
7.26388 − 0.98595I 0
u = 0.54712 − 1.73083I
a = −0.730040 + 0.294105I
b = −0.462775 + 0.271259I
7.26388 + 0.98595I 0
30
III. I
u
3
= hb − u, a, u
14
+ 2u
12
+ · · · + u + 1i
(i) Arc colorings
a
5
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
1
=
0
u
a
11
=
−u
u
3
+ u
a
12
=
−u
u
a
9
=
−u
3
u
3
+ u
a
6
=
u
6
+ u
4
+ 1
−u
6
− 2u
4
− u
2
a
8
=
−u
3
u
5
+ u
3
+ u
a
3
=
u
6
+ u
4
+ 1
−u
8
− 2u
6
− 2u
4
− 2u
2
a
2
=
−u
13
− 2u
11
− u
9
− 2u
7
− 2u
5
− u
u
13
+ 3u
11
+ 3u
9
− u
8
+ 2u
7
− u
6
+ 2u
5
+ u
3
− u
2
a
7
=
0
u
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u
7
− 4u
5
− 4u − 2
31
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
2
+ u + 1)
7
c
2
, c
6
(u
2
− u + 1)
7
c
3
, c
5
u
14
+ 6u
12
+ ··· + 3u + 1
c
4
, c
10
, c
12
u
14
+ 2u
12
+ u
10
+ 2u
8
+ u
7
+ 2u
6
+ u
5
+ u
2
+ u + 1
c
7
, c
9
, c
11
u
14
− 4u
13
+ ··· − u + 1
c
8
u
14
− 4u
13
+ ··· + u + 1
32
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
(y
2
+ y + 1)
7
c
3
, c
5
y
14
+ 12y
13
+ ··· + 9y + 1
c
4
, c
10
, c
12
y
14
+ 4y
13
+ ··· + y + 1
c
7
, c
9
, c
11
y
14
− 4y
13
+ ··· + y + 1
c
8
y
14
− 20y
13
+ ··· + 17y + 1
33
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.736457 + 0.697375I
a = 0
b = −0.736457 + 0.697375I
− 2.02988I 0. + 3.46410I
u = −0.736457 − 0.697375I
a = 0
b = −0.736457 − 0.697375I
2.02988I 0. − 3.46410I
u = 0.856039 + 0.441605I
a = 0
b = 0.856039 + 0.441605I
2.02988I 0. − 3.46410I
u = 0.856039 − 0.441605I
a = 0
b = 0.856039 − 0.441605I
− 2.02988I 0. + 3.46410I
u = 0.821529 + 0.637804I
a = 0
b = 0.821529 + 0.637804I
− 2.02988I 0. + 3.46410I
u = 0.821529 − 0.637804I
a = 0
b = 0.821529 − 0.637804I
2.02988I 0. − 3.46410I
u = 0.101179 + 1.129380I
a = 0
b = 0.101179 + 1.129380I
2.02988I 0. − 3.46410I
u = 0.101179 − 1.129380I
a = 0
b = 0.101179 − 1.129380I
− 2.02988I 0. + 3.46410I
u = −0.784401 + 0.284979I
a = 0
b = −0.784401 + 0.284979I
2.02988I 0. − 3.46410I
u = −0.784401 − 0.284979I
a = 0
b = −0.784401 − 0.284979I
− 2.02988I 0. + 3.46410I
34
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.288573 + 0.759251I
a = 0
b = −0.288573 + 0.759251I
2.02988I 0. − 3.46410I
u = −0.288573 − 0.759251I
a = 0
b = −0.288573 − 0.759251I
− 2.02988I 0. + 3.46410I
u = 0.030683 + 1.280040I
a = 0
b = 0.030683 + 1.280040I
− 2.02988I 0. + 3.46410I
u = 0.030683 − 1.280040I
a = 0
b = 0.030683 − 1.280040I
2.02988I 0. − 3.46410I
35
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
+ u + 1)
7
)(u
46
− 28u
45
+ ··· − 222u + 9)
· (u
154
+ 70u
153
+ ··· + 2351600u + 40000)
c
2
((u
2
− u + 1)
7
)(u
46
+ 2u
45
+ ··· + 6u + 3)
· (u
154
+ 4u
153
+ ··· + 2700u + 200)
c
3
(u
14
+ 6u
12
+ ··· + 3u + 1)(u
46
+ 3u
44
+ ··· − 127u + 43)
· (u
154
− u
153
+ ··· + 2016184651u + 1384157231)
c
4
(u
14
+ 2u
12
+ u
10
+ 2u
8
+ u
7
+ 2u
6
+ u
5
+ u
2
+ u + 1)
· (u
46
+ 21u
44
+ ··· + 3u + 1)(u
154
− u
153
+ ··· − 1143847u + 112661)
c
5
(u
14
+ 6u
12
+ ··· + 3u + 1)(u
46
− u
45
+ ··· − 5u + 1)
· (u
154
− 4u
153
+ ··· + 55u + 1)
c
6
((u
2
− u + 1)
7
)(u
46
− 2u
45
+ ··· − 6u + 3)
· (u
154
+ 4u
153
+ ··· + 2700u + 200)
c
7
(u
14
− 4u
13
+ ··· − u + 1)(u
46
+ u
45
+ ··· − 7u + 1)
· (u
154
+ 2u
153
+ ··· − 249479005u + 13493731)
c
8
(u
14
− 4u
13
+ ··· + u + 1)(u
46
− 12u
44
+ ··· − 4u
2
+ 1)
· (u
154
+ 9u
153
+ ··· − 649198290u + 29322847)
c
9
(u
14
− 4u
13
+ ··· − u + 1)(u
46
+ 7u
45
+ ··· + 4u + 1)
· (u
154
+ 18u
153
+ ··· + 290880u + 11897)
c
10
(u
14
+ 2u
12
+ u
10
+ 2u
8
+ u
7
+ 2u
6
+ u
5
+ u
2
+ u + 1)
· (u
46
+ 21u
44
+ ··· − 3u + 1)(u
154
− u
153
+ ··· − 1143847u + 112661)
c
11
(u
14
− 4u
13
+ ··· − u + 1)(u
46
− u
45
+ ··· + 7u + 1)
· (u
154
+ 2u
153
+ ··· − 249479005u + 13493731)
c
12
(u
14
+ 2u
12
+ u
10
+ 2u
8
+ u
7
+ 2u
6
+ u
5
+ u
2
+ u + 1)
· (u
46
− 5u
45
+ ··· − 8u
2
+ 1)(u
154
− 20u
152
+ ··· − 232062u + 57347)
36
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
7
)(y
46
+ 4y
45
+ ··· − 2070y + 81)
· (y
154
+ 46y
153
+ ··· + 924906720000y + 1600000000)
c
2
, c
6
((y
2
+ y + 1)
7
)(y
46
+ 28y
45
+ ··· + 222y + 9)
· (y
154
+ 70y
153
+ ··· + 2351600y + 40000)
c
3
(y
14
+ 12y
13
+ ··· + 9y + 1)(y
46
+ 6y
45
+ ··· + 73913y + 1849)
· (y
154
+ 63y
153
+ ··· − 3.46 × 10
19
y + 1.92 × 10
18
)
c
4
, c
10
(y
14
+ 4y
13
+ ··· + y + 1)(y
46
+ 42y
45
+ ··· + 35y + 1)
· (y
154
+ 139y
153
+ ··· − 104773968485y + 12692500921)
c
5
(y
14
+ 12y
13
+ ··· + 9y + 1)(y
46
+ 17y
45
+ ··· + 29y + 1)
· (y
154
+ 6y
153
+ ··· − 143y + 1)
c
7
, c
11
(y
14
− 4y
13
+ ··· + y + 1)(y
46
+ 21y
45
+ ··· + 37y + 1)
· (y
154
+ 114y
153
+ ··· + 2908457925570425y + 182080776300361)
c
8
(y
14
− 20y
13
+ ··· + 17y + 1)(y
46
− 24y
45
+ ··· − 8y + 1)
· (y
154
+ 37y
153
+ ··· + 16647274284827280y + 859829356185409)
c
9
(y
14
− 4y
13
+ ··· + y + 1)(y
46
− 19y
45
+ ··· − 18y + 1)
· (y
154
− 34y
153
+ ··· − 6991839034y + 141538609)
c
12
(y
14
+ 4y
13
+ ··· + y + 1)(y
46
− 5y
45
+ ··· − 16y + 1)
· (y
154
− 40y
153
+ ··· − 208157950460y + 3288678409)
37
