12a
0439
(K12a
0439
)
A knot diagram
1
Linearized knot diagam
3 6 10 8 9 2 12 11 7 1 5 4
Solving Sequence
2,7
6
3,10
4 1 11 9 5 8 12
c
6
c
2
c
3
c
1
c
10
c
9
c
5
c
8
c
12
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.09741 × 10
706
u
198
− 3.08612 × 10
706
u
197
+ ··· + 2.09580 × 10
706
b + 1.26886 × 10
709
,
− 1.78590 × 10
709
u
198
+ 9.32188 × 10
708
u
197
+ ··· + 2.91316 × 10
708
a + 1.59296 × 10
711
,
u
199
+ 40u
197
+ ··· − 886u − 139i
I
u
2
= h9.05599 × 10
16
u
38
− 1.21944 × 10
17
u
37
+ ··· + 1.56396 × 10
17
b − 8.41549 × 10
16
,
1.35450 × 10
17
u
38
+ 1.15254 × 10
17
u
37
+ ··· + 1.56396 × 10
17
a − 4.55146 × 10
17
, u
39
+ u
38
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 238 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−5.10 × 10
706
u
198
− 3.09 × 10
706
u
197
+ · · · + 2.10 × 10
706
b + 1.27 ×
10
709
, −1.79 × 10
709
u
198
+ 9.32 × 10
708
u
197
+ · · · + 2.91 × 10
708
a + 1.59 ×
10
711
, u
199
+ 40u
197
+ · · · − 886u − 139i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
10
=
6.13044u
198
− 3.19992u
197
+ ··· − 3739.45u − 546.816
2.43220u
198
+ 1.47253u
197
+ ··· − 3493.24u − 605.430
a
4
=
4.17955u
198
+ 0.616113u
197
+ ··· − 4122.45u − 662.313
1.45668u
198
− 2.78421u
197
+ ··· + 594.418u + 149.180
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
4.09110u
198
− 3.67876u
197
+ ··· − 1327.70u − 134.756
1.44768u
198
+ 1.44308u
197
+ ··· − 2495.03u − 443.280
a
9
=
3.69824u
198
− 4.67245u
197
+ ··· − 246.204u + 58.6142
2.43220u
198
+ 1.47253u
197
+ ··· − 3493.24u − 605.430
a
5
=
−4.00690u
198
− 2.71923u
197
+ ··· + 5508.41u + 933.641
−0.755236u
198
+ 1.30418u
197
+ ··· − 297.396u − 75.4139
a
8
=
0.736592u
198
− 2.09312u
197
+ ··· + 505.805u + 125.305
−1.14676u
198
+ 0.921419u
197
+ ··· + 564.378u + 70.9771
a
12
=
−15.2221u
198
+ 2.57203u
197
+ ··· + 12340.0u + 1899.53
2.28124u
198
− 0.641223u
197
+ ··· − 1770.10u − 274.405
(ii) Obstruction class = −1
(iii) Cusp Shapes = 21.1479u
198
− 52.4779u
197
+ ··· + 20179.0u + 4338.51
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
199
+ 80u
198
+ ··· − 682010u − 19321
c
2
, c
6
u
199
+ 40u
197
+ ··· − 886u + 139
c
3
u
199
+ 4u
197
+ ··· − 15u + 2
c
4
u
199
+ 4u
198
+ ··· − 43u + 7
c
5
u
199
+ u
198
+ ··· + 3083941u − 3270107
c
7
u
199
− 4u
198
+ ··· − 48u + 1
c
8
u
199
− 13u
198
+ ··· + 67u + 1
c
9
u
199
− 5u
198
+ ··· − 35977u − 38728
c
10
u
199
+ 2u
198
+ ··· − 73602u + 7609
c
11
u
199
+ 2u
198
+ ··· − 81u + 4
c
12
u
199
+ 14u
198
+ ··· + 7u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
199
+ 84y
198
+ ··· − 5691751490y −373301041
c
2
, c
6
y
199
+ 80y
198
+ ··· − 682010y −19321
c
3
y
199
+ 8y
198
+ ··· + 809y −4
c
4
y
199
− 30y
198
+ ··· − 41y −49
c
5
y
199
− 73y
198
+ ··· + 323847798103351y −10693599791449
c
7
y
199
− 12y
198
+ ··· + 64y −1
c
8
y
199
− 21y
198
+ ··· + 205y −1
c
9
y
199
− 41y
198
+ ··· + 110633557809y −1499857984
c
10
y
199
+ 8y
198
+ ··· − 4561096888y −57896881
c
11
y
199
+ 6y
198
+ ··· − 1495y −16
c
12
y
199
+ 44y
198
+ ··· − 2003y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.587023 + 0.809948I
a = −1.58919 − 1.33971I
b = −1.68634 − 0.71778I
3.11712 − 1.71695I 0
u = −0.587023 − 0.809948I
a = −1.58919 + 1.33971I
b = −1.68634 + 0.71778I
3.11712 + 1.71695I 0
u = 0.498494 + 0.869106I
a = 1.51301 − 0.12512I
b = −0.06660 + 1.91633I
−2.46657 − 1.63655I 0
u = 0.498494 − 0.869106I
a = 1.51301 + 0.12512I
b = −0.06660 − 1.91633I
−2.46657 + 1.63655I 0
u = 0.846999 + 0.545832I
a = −1.30555 + 0.81965I
b = −1.58559 + 0.36312I
4.92626 − 3.40647I 0
u = 0.846999 − 0.545832I
a = −1.30555 − 0.81965I
b = −1.58559 − 0.36312I
4.92626 + 3.40647I 0
u = 0.460856 + 0.898481I
a = −2.31383 − 0.07866I
b = −0.58153 − 1.29075I
−2.56759 + 5.97714I 0
u = 0.460856 − 0.898481I
a = −2.31383 + 0.07866I
b = −0.58153 + 1.29075I
−2.56759 − 5.97714I 0
u = 0.658313 + 0.738587I
a = 1.086630 + 0.630093I
b = −0.12798 + 1.62661I
3.69763 − 1.62018I 0
u = 0.658313 − 0.738587I
a = 1.086630 − 0.630093I
b = −0.12798 − 1.62661I
3.69763 + 1.62018I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.496193 + 0.885382I
a = −0.595402 − 0.418175I
b = 0.42150 − 1.71955I
−2.51095 + 5.65371I 0
u = 0.496193 − 0.885382I
a = −0.595402 + 0.418175I
b = 0.42150 + 1.71955I
−2.51095 − 5.65371I 0
u = −0.620370 + 0.810880I
a = 2.59463 + 1.02657I
b = 1.95146 − 1.71839I
1.92152 + 5.87036I 0
u = −0.620370 − 0.810880I
a = 2.59463 − 1.02657I
b = 1.95146 + 1.71839I
1.92152 − 5.87036I 0
u = −0.603665 + 0.824516I
a = 1.53484 − 0.22769I
b = 0.568051 + 0.304538I
0.829209 − 0.961634I 0
u = −0.603665 − 0.824516I
a = 1.53484 + 0.22769I
b = 0.568051 − 0.304538I
0.829209 + 0.961634I 0
u = −0.562447 + 0.796277I
a = −0.92089 − 1.49319I
b = −0.297810 + 0.803227I
0.711468 + 0.652990I 0
u = −0.562447 − 0.796277I
a = −0.92089 + 1.49319I
b = −0.297810 − 0.803227I
0.711468 − 0.652990I 0
u = 0.632151 + 0.738294I
a = 1.58039 + 0.00282I
b = 1.087880 − 0.551446I
2.49967 − 7.27688I 0
u = 0.632151 − 0.738294I
a = 1.58039 − 0.00282I
b = 1.087880 + 0.551446I
2.49967 + 7.27688I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.149466 + 1.023060I
a = −0.028958 + 0.371393I
b = −0.389972 − 1.267390I
−3.55097 + 5.84813I 0
u = 0.149466 − 1.023060I
a = −0.028958 − 0.371393I
b = −0.389972 + 1.267390I
−3.55097 − 5.84813I 0
u = 0.642200 + 0.719775I
a = −0.344194 + 1.050210I
b = −1.12875 + 1.12848I
3.38444 − 1.25481I 0
u = 0.642200 − 0.719775I
a = −0.344194 − 1.050210I
b = −1.12875 − 1.12848I
3.38444 + 1.25481I 0
u = 0.343751 + 0.893683I
a = 1.40662 − 0.56403I
b = 0.939545 + 0.438048I
−3.08732 − 0.74941I 0
u = 0.343751 − 0.893683I
a = 1.40662 + 0.56403I
b = 0.939545 − 0.438048I
−3.08732 + 0.74941I 0
u = −0.590646 + 0.860453I
a = 1.66359 + 1.64155I
b = 0.346971 − 0.404625I
0.72523 − 3.77033I 0
u = −0.590646 − 0.860453I
a = 1.66359 − 1.64155I
b = 0.346971 + 0.404625I
0.72523 + 3.77033I 0
u = −0.061841 + 1.043210I
a = 0.758876 + 0.278900I
b = −0.572943 + 0.413690I
−1.22030 − 2.21742I 0
u = −0.061841 − 1.043210I
a = 0.758876 − 0.278900I
b = −0.572943 − 0.413690I
−1.22030 + 2.21742I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.909196 + 0.515496I
a = 1.055940 − 0.828951I
b = 1.061930 − 0.732069I
1.33611 − 7.53363I 0
u = 0.909196 − 0.515496I
a = 1.055940 + 0.828951I
b = 1.061930 + 0.732069I
1.33611 + 7.53363I 0
u = 0.903016 + 0.546950I
a = −0.93396 + 1.12986I
b = −1.22277 + 1.21905I
3.79969 − 7.43778I 0
u = 0.903016 − 0.546950I
a = −0.93396 − 1.12986I
b = −1.22277 − 1.21905I
3.79969 + 7.43778I 0
u = −0.528333 + 0.781637I
a = −1.29996 + 1.74911I
b = −0.936537 − 0.153818I
1.79008 − 1.57341I 0
u = −0.528333 − 0.781637I
a = −1.29996 − 1.74911I
b = −0.936537 + 0.153818I
1.79008 + 1.57341I 0
u = −0.683586 + 0.811752I
a = 1.184380 + 0.118080I
b = 0.536595 − 0.235249I
0.61506 − 2.63528I 0
u = −0.683586 − 0.811752I
a = 1.184380 − 0.118080I
b = 0.536595 + 0.235249I
0.61506 + 2.63528I 0
u = −0.020954 + 0.937164I
a = 0.881295 − 0.424173I
b = −0.318603 + 0.788435I
−1.34068 − 1.86227I 0
u = −0.020954 − 0.937164I
a = 0.881295 + 0.424173I
b = −0.318603 − 0.788435I
−1.34068 + 1.86227I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.990322 + 0.386590I
a = −0.541205 − 0.218718I
b = −1.008540 − 0.647990I
3.79442 + 0.74559I 0
u = −0.990322 − 0.386590I
a = −0.541205 + 0.218718I
b = −1.008540 + 0.647990I
3.79442 − 0.74559I 0
u = 0.822165 + 0.675958I
a = −0.804779 + 0.999511I
b = −1.17868 + 0.86406I
4.37741 − 1.56681I 0
u = 0.822165 − 0.675958I
a = −0.804779 − 0.999511I
b = −1.17868 − 0.86406I
4.37741 + 1.56681I 0
u = 0.659960 + 0.836427I
a = −1.86090 + 1.25405I
b = −1.58923 − 0.47494I
4.99787 + 2.51806I 0
u = 0.659960 − 0.836427I
a = −1.86090 − 1.25405I
b = −1.58923 + 0.47494I
4.99787 − 2.51806I 0
u = −0.771458 + 0.739629I
a = −0.018917 − 0.968477I
b = −1.05175 − 0.97827I
2.00307 + 0.10648I 0
u = −0.771458 − 0.739629I
a = −0.018917 + 0.968477I
b = −1.05175 + 0.97827I
2.00307 − 0.10648I 0
u = −0.588008 + 0.893030I
a = −2.17133 − 1.59517I
b = −1.35961 + 0.98502I
2.84857 − 2.94529I 0
u = −0.588008 − 0.893030I
a = −2.17133 + 1.59517I
b = −1.35961 − 0.98502I
2.84857 + 2.94529I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.570985 + 0.906774I
a = −0.694018 + 0.218638I
b = −0.713608 − 0.767754I
0.34793 − 5.18437I 0
u = −0.570985 − 0.906774I
a = −0.694018 − 0.218638I
b = −0.713608 + 0.767754I
0.34793 + 5.18437I 0
u = 0.658854 + 0.845395I
a = −1.87984 + 1.39374I
b = −1.94893 − 0.25591I
5.01034 + 2.55559I 0
u = 0.658854 − 0.845395I
a = −1.87984 − 1.39374I
b = −1.94893 + 0.25591I
5.01034 − 2.55559I 0
u = −0.608109 + 0.883555I
a = 0.66362 + 2.24380I
b = 2.56158 + 1.36865I
1.69558 − 10.70180I 0
u = −0.608109 − 0.883555I
a = 0.66362 − 2.24380I
b = 2.56158 − 1.36865I
1.69558 + 10.70180I 0
u = 0.653791 + 0.854690I
a = −1.48897 + 1.23210I
b = −1.77676 + 0.21100I
4.94123 + 2.58044I 0
u = 0.653791 − 0.854690I
a = −1.48897 − 1.23210I
b = −1.77676 − 0.21100I
4.94123 − 2.58044I 0
u = 0.953294 + 0.506126I
a = 0.830014 − 0.476230I
b = 0.992565 − 0.707723I
6.30268 − 7.17836I 0
u = 0.953294 − 0.506126I
a = 0.830014 + 0.476230I
b = 0.992565 + 0.707723I
6.30268 + 7.17836I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.934446 + 0.541225I
a = 0.98237 + 1.07045I
b = 1.26260 + 1.08709I
2.6526 + 16.0081I 0
u = −0.934446 − 0.541225I
a = 0.98237 − 1.07045I
b = 1.26260 − 1.08709I
2.6526 − 16.0081I 0
u = −0.448284 + 0.802622I
a = −3.81061 − 0.88424I
b = −0.259964 + 0.074094I
−0.115145 + 0.383881I 0
u = −0.448284 − 0.802622I
a = −3.81061 + 0.88424I
b = −0.259964 − 0.074094I
−0.115145 − 0.383881I 0
u = −0.995013 + 0.423920I
a = −0.500120 + 0.268210I
b = −0.775931 + 0.427466I
2.99815 − 2.61513I 0
u = −0.995013 − 0.423920I
a = −0.500120 − 0.268210I
b = −0.775931 − 0.427466I
2.99815 + 2.61513I 0
u = −0.281288 + 1.045420I
a = −1.26420 + 0.80789I
b = 0.84805 + 1.42009I
−2.68220 + 5.10385I 0
u = −0.281288 − 1.045420I
a = −1.26420 − 0.80789I
b = 0.84805 − 1.42009I
−2.68220 − 5.10385I 0
u = 0.719597 + 0.811180I
a = 0.549367 − 1.006830I
b = 0.281201 + 0.223396I
4.02431 − 2.54852I 0
u = 0.719597 − 0.811180I
a = 0.549367 + 1.006830I
b = 0.281201 − 0.223396I
4.02431 + 2.54852I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.919286 + 0.576015I
a = 0.554530 − 0.057308I
b = 0.488048 + 0.041558I
1.43041 − 2.69383I 0
u = −0.919286 − 0.576015I
a = 0.554530 + 0.057308I
b = 0.488048 − 0.041558I
1.43041 + 2.69383I 0
u = −0.921915 + 0.573807I
a = 0.995271 + 0.514884I
b = 1.131810 + 0.242143I
6.84178 − 1.98192I 0
u = −0.921915 − 0.573807I
a = 0.995271 − 0.514884I
b = 1.131810 − 0.242143I
6.84178 + 1.98192I 0
u = −0.869885 + 0.654585I
a = −0.85023 − 1.35486I
b = −1.20035 − 0.96295I
3.26577 + 5.98379I 0
u = −0.869885 − 0.654585I
a = −0.85023 + 1.35486I
b = −1.20035 + 0.96295I
3.26577 − 5.98379I 0
u = −0.100601 + 1.084260I
a = −0.078295 − 0.749620I
b = 0.352517 + 1.361350I
−7.08852 − 2.97622I 0
u = −0.100601 − 1.084260I
a = −0.078295 + 0.749620I
b = 0.352517 − 1.361350I
−7.08852 + 2.97622I 0
u = 0.096998 + 1.091300I
a = −0.306956 + 0.072089I
b = 0.708218 − 0.969699I
−5.45560 − 2.16052I 0
u = 0.096998 − 1.091300I
a = −0.306956 − 0.072089I
b = 0.708218 + 0.969699I
−5.45560 + 2.16052I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.578477 + 0.933075I
a = −0.05534 − 1.96128I
b = −0.609940 + 0.233670I
1.23739 − 2.89267I 0
u = −0.578477 − 0.933075I
a = −0.05534 + 1.96128I
b = −0.609940 − 0.233670I
1.23739 + 2.89267I 0
u = −0.336700 + 0.834532I
a = −1.51926 + 0.10324I
b = −0.972806 − 0.071124I
−1.082410 + 0.899782I 0
u = −0.336700 − 0.834532I
a = −1.51926 − 0.10324I
b = −0.972806 + 0.071124I
−1.082410 − 0.899782I 0
u = −0.473881 + 0.996220I
a = −1.45036 − 1.59974I
b = −0.382568 + 0.334719I
−0.79368 − 4.06439I 0
u = −0.473881 − 0.996220I
a = −1.45036 + 1.59974I
b = −0.382568 − 0.334719I
−0.79368 + 4.06439I 0
u = 0.698963 + 0.868631I
a = 0.832514 + 0.402891I
b = 0.683726 − 0.093355I
3.85198 + 7.95726I 0
u = 0.698963 − 0.868631I
a = 0.832514 − 0.402891I
b = 0.683726 + 0.093355I
3.85198 − 7.95726I 0
u = 0.623330 + 0.933576I
a = 1.45294 − 1.78732I
b = 0.868859 + 0.632142I
1.90027 + 12.20740I 0
u = 0.623330 − 0.933576I
a = 1.45294 + 1.78732I
b = 0.868859 − 0.632142I
1.90027 − 12.20740I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.633179 + 0.937215I
a = −1.65702 + 0.54779I
b = −0.80884 − 1.40149I
2.73126 + 6.25215I 0
u = 0.633179 − 0.937215I
a = −1.65702 − 0.54779I
b = −0.80884 + 1.40149I
2.73126 − 6.25215I 0
u = 0.644745 + 0.930208I
a = −0.943083 − 0.630831I
b = 0.40294 − 1.71943I
3.11954 + 6.69528I 0
u = 0.644745 − 0.930208I
a = −0.943083 + 0.630831I
b = 0.40294 + 1.71943I
3.11954 − 6.69528I 0
u = −0.974229 + 0.584194I
a = −0.656953 − 0.923649I
b = −0.967247 − 0.848773I
1.72442 + 6.09978I 0
u = −0.974229 − 0.584194I
a = −0.656953 + 0.923649I
b = −0.967247 + 0.848773I
1.72442 − 6.09978I 0
u = 1.055110 + 0.429485I
a = 0.422158 + 0.296048I
b = 0.727731 + 0.318262I
1.92221 + 10.60750I 0
u = 1.055110 − 0.429485I
a = 0.422158 − 0.296048I
b = 0.727731 − 0.318262I
1.92221 − 10.60750I 0
u = −0.536477 + 1.005950I
a = 2.12761 + 1.42557I
b = 2.11632 − 1.52235I
−1.13266 − 11.41410I 0
u = −0.536477 − 1.005950I
a = 2.12761 − 1.42557I
b = 2.11632 + 1.52235I
−1.13266 + 11.41410I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.14415
a = 0.119041
b = −0.196758
−0.903372 0
u = 0.132240 + 1.155810I
a = 0.581359 + 0.294362I
b = −0.036109 − 0.707916I
−4.95291 − 0.22997I 0
u = 0.132240 − 1.155810I
a = 0.581359 − 0.294362I
b = −0.036109 + 0.707916I
−4.95291 + 0.22997I 0
u = 0.494971 + 1.058120I
a = 1.098070 − 0.756564I
b = 0.979710 + 0.497752I
−4.41896 + 3.70827I 0
u = 0.494971 − 1.058120I
a = 1.098070 + 0.756564I
b = 0.979710 − 0.497752I
−4.41896 − 3.70827I 0
u = −0.325748 + 0.760944I
a = 1.79807 + 0.18800I
b = −0.573986 − 0.330431I
1.21179 − 0.93043I 0
u = −0.325748 − 0.760944I
a = 1.79807 − 0.18800I
b = −0.573986 + 0.330431I
1.21179 + 0.93043I 0
u = 0.142948 + 1.164400I
a = −0.035491 − 0.900567I
b = −0.315716 + 1.201180I
−6.19601 − 5.43268I 0
u = 0.142948 − 1.164400I
a = −0.035491 + 0.900567I
b = −0.315716 − 1.201180I
−6.19601 + 5.43268I 0
u = −0.819035 + 0.112270I
a = −0.584444 − 0.656663I
b = −0.734617 − 0.439386I
0.209233 − 0.809305I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.819035 − 0.112270I
a = −0.584444 + 0.656663I
b = −0.734617 + 0.439386I
0.209233 + 0.809305I 0
u = −0.774068 + 0.882259I
a = −1.270780 + 0.080920I
b = −0.74689 + 1.43417I
1.60578 − 5.87975I 0
u = −0.774068 − 0.882259I
a = −1.270780 − 0.080920I
b = −0.74689 − 1.43417I
1.60578 + 5.87975I 0
u = 0.656017 + 0.501047I
a = 1.69049 − 1.11485I
b = 1.271000 − 0.419809I
−0.71373 − 3.76782I 0
u = 0.656017 − 0.501047I
a = 1.69049 + 1.11485I
b = 1.271000 + 0.419809I
−0.71373 + 3.76782I 0
u = −0.406749 + 0.709171I
a = 1.48423 + 2.29301I
b = 2.42992 + 0.50999I
0.05227 + 7.35625I 0
u = −0.406749 − 0.709171I
a = 1.48423 − 2.29301I
b = 2.42992 − 0.50999I
0.05227 − 7.35625I 0
u = −0.518733 + 1.063920I
a = 1.046840 + 0.107180I
b = −0.060957 − 0.302359I
−0.40684 − 2.72153I 0
u = −0.518733 − 1.063920I
a = 1.046840 − 0.107180I
b = −0.060957 + 0.302359I
−0.40684 + 2.72153I 0
u = −0.652205 + 0.487440I
a = 1.12187 + 1.15781I
b = 0.482523 + 0.927800I
−2.40134 − 1.35613I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.652205 − 0.487440I
a = 1.12187 − 1.15781I
b = 0.482523 − 0.927800I
−2.40134 + 1.35613I 0
u = 0.580144 + 1.048040I
a = 1.042630 − 0.448048I
b = 0.704061 − 0.017918I
−2.21685 + 7.36855I 0
u = 0.580144 − 1.048040I
a = 1.042630 + 0.448048I
b = 0.704061 + 0.017918I
−2.21685 − 7.36855I 0
u = −0.606100 + 1.035030I
a = 2.04022 + 0.36650I
b = 0.753479 − 1.037390I
−3.93491 − 3.57221I 0
u = −0.606100 − 1.035030I
a = 2.04022 − 0.36650I
b = 0.753479 + 1.037390I
−3.93491 + 3.57221I 0
u = 0.612745 + 1.036130I
a = 1.77461 − 1.04728I
b = 1.55574 + 0.80237I
−2.22119 + 8.74334I 0
u = 0.612745 − 1.036130I
a = 1.77461 + 1.04728I
b = 1.55574 − 0.80237I
−2.22119 − 8.74334I 0
u = 0.586291 + 1.063180I
a = −1.95604 + 0.43883I
b = −0.473434 − 0.832514I
−3.36399 + 12.69470I 0
u = 0.586291 − 1.063180I
a = −1.95604 − 0.43883I
b = −0.473434 + 0.832514I
−3.36399 − 12.69470I 0
u = 0.436186 + 1.135290I
a = 0.079641 − 0.771582I
b = 0.948864 − 0.502118I
−4.93828 + 3.97153I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.436186 − 1.135290I
a = 0.079641 + 0.771582I
b = 0.948864 + 0.502118I
−4.93828 − 3.97153I 0
u = −0.509061 + 1.112290I
a = −0.786178 − 0.717168I
b = −0.834473 + 0.702001I
−2.74425 − 3.73381I 0
u = −0.509061 − 1.112290I
a = −0.786178 + 0.717168I
b = −0.834473 − 0.702001I
−2.74425 + 3.73381I 0
u = −0.078686 + 1.230370I
a = 0.353511 − 0.548016I
b = −0.669027 + 1.101440I
−3.05290 − 5.61055I 0
u = −0.078686 − 1.230370I
a = 0.353511 + 0.548016I
b = −0.669027 − 1.101440I
−3.05290 + 5.61055I 0
u = 0.701197 + 1.022910I
a = −1.64033 + 0.62459I
b = −1.16033 − 1.13139I
3.29494 + 7.28281I 0
u = 0.701197 − 1.022910I
a = −1.64033 − 0.62459I
b = −1.16033 + 1.13139I
3.29494 − 7.28281I 0
u = 0.670130 + 0.357060I
a = −1.278520 + 0.496013I
b = −0.144080 + 0.913155I
−1.46750 − 7.86430I 0
u = 0.670130 − 0.357060I
a = −1.278520 − 0.496013I
b = −0.144080 − 0.913155I
−1.46750 + 7.86430I 0
u = 0.903010 + 0.867407I
a = 0.528322 + 0.540129I
b = 0.111293 + 0.970320I
−0.45579 − 2.42834I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.903010 − 0.867407I
a = 0.528322 − 0.540129I
b = 0.111293 − 0.970320I
−0.45579 + 2.42834I 0
u = 0.370614 + 0.644606I
a = 0.65995 + 1.53359I
b = −0.128410 + 0.962676I
−1.95455 − 2.36210I 0
u = 0.370614 − 0.644606I
a = 0.65995 − 1.53359I
b = −0.128410 − 0.962676I
−1.95455 + 2.36210I 0
u = 0.730918 + 0.131824I
a = 0.707255 + 0.483671I
b = −0.241380 + 0.263146I
−0.33528 − 2.93827I 0
u = 0.730918 − 0.131824I
a = 0.707255 − 0.483671I
b = −0.241380 − 0.263146I
−0.33528 + 2.93827I 0
u = −0.369043 + 1.203420I
a = 0.235789 − 0.689913I
b = −0.654025 − 0.575662I
−3.90113 − 4.77340I 0
u = −0.369043 − 1.203420I
a = 0.235789 + 0.689913I
b = −0.654025 + 0.575662I
−3.90113 + 4.77340I 0
u = 0.174921 + 1.255570I
a = 0.080589 + 0.127463I
b = −0.191125 − 0.852419I
−6.03914 + 4.31875I 0
u = 0.174921 − 1.255570I
a = 0.080589 − 0.127463I
b = −0.191125 + 0.852419I
−6.03914 − 4.31875I 0
u = 0.129716 + 0.720044I
a = −2.46408 + 1.07944I
b = 0.582398 + 0.293413I
−0.90024 − 8.13282I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.129716 − 0.720044I
a = −2.46408 − 1.07944I
b = 0.582398 − 0.293413I
−0.90024 + 8.13282I 0
u = −0.046459 + 1.269990I
a = −0.039537 + 0.149383I
b = 0.469410 − 0.801625I
−5.41246 − 5.33440I 0
u = −0.046459 − 1.269990I
a = −0.039537 − 0.149383I
b = 0.469410 + 0.801625I
−5.41246 + 5.33440I 0
u = −0.720588 + 1.047990I
a = −1.84960 − 0.40853I
b = −1.29697 + 1.22025I
2.04066 − 11.89410I 0
u = −0.720588 − 1.047990I
a = −1.84960 + 0.40853I
b = −1.29697 − 1.22025I
2.04066 + 11.89410I 0
u = 0.669946 + 1.082210I
a = −1.31391 + 1.08929I
b = −1.68468 − 0.71041I
3.29253 + 9.06022I 0
u = 0.669946 − 1.082210I
a = −1.31391 − 1.08929I
b = −1.68468 + 0.71041I
3.29253 − 9.06022I 0
u = 0.083635 + 1.274680I
a = −0.289326 − 0.331523I
b = 0.695250 + 0.993807I
−4.4445 + 13.9098I 0
u = 0.083635 − 1.274680I
a = −0.289326 + 0.331523I
b = 0.695250 − 0.993807I
−4.4445 − 13.9098I 0
u = −0.645134 + 1.103660I
a = 0.840114 + 0.342302I
b = 0.253909 − 0.584809I
−0.11849 − 2.99605I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.645134 − 1.103660I
a = 0.840114 − 0.342302I
b = 0.253909 + 0.584809I
−0.11849 + 2.99605I 0
u = 0.697284 + 1.100430I
a = −1.87029 + 0.66597I
b = −1.23061 − 1.45189I
2.10417 + 13.33660I 0
u = 0.697284 − 1.100430I
a = −1.87029 − 0.66597I
b = −1.23061 + 1.45189I
2.10417 − 13.33660I 0
u = −0.715297 + 1.089710I
a = 1.100850 + 0.700153I
b = 1.183900 − 0.542998I
5.25622 − 4.02391I 0
u = −0.715297 − 1.089710I
a = 1.100850 − 0.700153I
b = 1.183900 + 0.542998I
5.25622 + 4.02391I 0
u = 0.688063 + 1.112900I
a = 1.53538 − 0.66200I
b = 1.15825 + 0.94992I
−0.48794 + 13.40880I 0
u = 0.688063 − 1.112900I
a = 1.53538 + 0.66200I
b = 1.15825 − 0.94992I
−0.48794 − 13.40880I 0
u = 0.788843 + 1.051160I
a = −1.041660 − 0.320707I
b = −0.233913 − 1.170150I
−1.20517 + 8.87252I 0
u = 0.788843 − 1.051160I
a = −1.041660 + 0.320707I
b = −0.233913 + 1.170150I
−1.20517 − 8.87252I 0
u = −0.705884 + 1.115510I
a = 1.75355 + 0.68517I
b = 1.29657 − 1.31892I
0.8816 − 22.0225I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.705884 − 1.115510I
a = 1.75355 − 0.68517I
b = 1.29657 + 1.31892I
0.8816 + 22.0225I 0
u = 0.702289 + 1.131120I
a = 1.28109 − 0.73104I
b = 0.972882 + 0.954863I
4.38530 + 13.21880I 0
u = 0.702289 − 1.131120I
a = 1.28109 + 0.73104I
b = 0.972882 − 0.954863I
4.38530 − 13.21880I 0
u = −0.731919 + 1.117800I
a = −1.41866 − 0.39658I
b = −1.05318 + 1.10371I
0.04421 − 12.32480I 0
u = −0.731919 − 1.117800I
a = −1.41866 + 0.39658I
b = −1.05318 − 1.10371I
0.04421 + 12.32480I 0
u = 0.477148 + 0.415373I
a = 1.92142 − 0.16951I
b = 0.282478 + 0.389393I
−0.50053 − 2.77991I 0
u = 0.477148 − 0.415373I
a = 1.92142 + 0.16951I
b = 0.282478 − 0.389393I
−0.50053 + 2.77991I 0
u = −0.733634 + 1.161840I
a = −0.977557 − 0.611646I
b = −0.90929 + 1.10042I
1.49933 − 7.01834I 0
u = −0.733634 − 1.161840I
a = −0.977557 + 0.611646I
b = −0.90929 − 1.10042I
1.49933 + 7.01834I 0
u = −0.104305 + 0.606428I
a = 1.72133 − 1.78526I
b = 0.548143 + 0.207186I
−0.44844 − 3.09239I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.104305 − 0.606428I
a = 1.72133 + 1.78526I
b = 0.548143 − 0.207186I
−0.44844 + 3.09239I 0
u = −0.794996 + 1.138120I
a = −0.325607 − 0.177451I
b = −0.477461 + 0.272951I
0.75558 − 3.93033I 0
u = −0.794996 − 1.138120I
a = −0.325607 + 0.177451I
b = −0.477461 − 0.272951I
0.75558 + 3.93033I 0
u = 0.577555 + 0.000067I
a = 1.41017 − 0.40604I
b = 0.658094 − 0.330138I
−1.87945 + 0.13137I −6.52149 + 1.04741I
u = 0.577555 − 0.000067I
a = 1.41017 + 0.40604I
b = 0.658094 + 0.330138I
−1.87945 − 0.13137I −6.52149 − 1.04741I
u = −0.212379 + 0.509259I
a = 0.591841 − 0.588134I
b = −1.201120 + 0.022464I
1.66021 − 0.72481I 2.22114 + 8.06695I
u = −0.212379 − 0.509259I
a = 0.591841 + 0.588134I
b = −1.201120 − 0.022464I
1.66021 + 0.72481I 2.22114 − 8.06695I
u = −0.08817 + 1.47826I
a = −0.057736 + 0.228676I
b = 0.269496 − 0.405544I
−0.92075 − 4.32147I 0
u = −0.08817 − 1.47826I
a = −0.057736 − 0.228676I
b = 0.269496 + 0.405544I
−0.92075 + 4.32147I 0
u = −0.466959 + 0.174782I
a = 0.633574 − 0.853875I
b = −0.421017 + 0.466313I
1.65525 − 1.24404I 4.13029 + 5.42299I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.466959 − 0.174782I
a = 0.633574 + 0.853875I
b = −0.421017 − 0.466313I
1.65525 + 1.24404I 4.13029 − 5.42299I
u = 0.47847 + 1.44805I
a = −0.235573 − 0.047788I
b = 0.228616 − 0.091297I
−1.25126 − 4.05311I 0
u = 0.47847 − 1.44805I
a = −0.235573 + 0.047788I
b = 0.228616 + 0.091297I
−1.25126 + 4.05311I 0
u = 0.047844 + 0.445677I
a = 2.64006 − 1.30389I
b = 0.029955 + 0.412976I
−0.47819 − 2.68826I −4.79750 + 5.35071I
u = 0.047844 − 0.445677I
a = 2.64006 + 1.30389I
b = 0.029955 − 0.412976I
−0.47819 + 2.68826I −4.79750 − 5.35071I
u = −0.388600 + 0.092474I
a = 2.46158 + 1.76333I
b = 1.39257 + 0.63922I
0.41611 + 7.61484I −1.36664 − 4.97718I
u = −0.388600 − 0.092474I
a = 2.46158 − 1.76333I
b = 1.39257 − 0.63922I
0.41611 − 7.61484I −1.36664 + 4.97718I
u = −0.293834 + 0.248176I
a = 0.885922 + 0.378506I
b = −1.007290 + 0.281564I
1.89027 − 0.92433I −0.278063 + 0.650610I
u = −0.293834 − 0.248176I
a = 0.885922 − 0.378506I
b = −1.007290 − 0.281564I
1.89027 + 0.92433I −0.278063 − 0.650610I
24
II.
I
u
2
= h9.06 × 10
16
u
38
− 1.22 × 10
17
u
37
+ · · · + 1.56 × 10
17
b − 8.42 × 10
16
, 1.35 ×
10
17
u
38
+1.15×10
17
u
37
+· · ·+1.56×10
17
a−4.55×10
17
, u
39
+u
38
+· · ·−2u+1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
10
=
−0.866070u
38
− 0.736938u
37
+ ··· − 6.80506u + 2.91022
−0.579043u
38
+ 0.779716u
37
+ ··· − 4.03407u + 0.538089
a
4
=
5.73300u
38
+ 7.64002u
37
+ ··· + 10.9718u − 6.00054
−1.12707u
38
− 1.87872u
37
+ ··· + 6.82400u − 2.73875
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
−0.775483u
38
− 0.417280u
37
+ ··· − 8.14134u + 3.78707
−0.377559u
38
+ 0.322158u
37
+ ··· − 1.43248u − 0.295340
a
9
=
−0.287027u
38
− 1.51665u
37
+ ··· − 2.77099u + 2.37213
−0.579043u
38
+ 0.779716u
37
+ ··· − 4.03407u + 0.538089
a
5
=
4.30570u
38
+ 6.03459u
37
+ ··· + 3.25846u − 3.35952
1.72875u
38
+ 2.84691u
37
+ ··· + 3.80190u − 0.130367
a
8
=
−5.25878u
38
− 6.95998u
37
+ ··· − 4.99855u + 0.0171614
2.08263u
38
+ 2.66427u
37
+ ··· + 8.23459u − 1.02588
a
12
=
−12.4685u
38
− 17.3458u
37
+ ··· − 24.8644u + 10.4690
−0.502592u
38
+ 0.589356u
37
+ ··· − 5.92810u + 2.19848
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
4803840043044346925
156395693545893133
u
38
−
1753117040714795653
156395693545893133
u
37
+ ··· −
12089496314433794131
156395693545893133
u +
9535750477461201133
156395693545893133
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
39
− 19u
38
+ ··· − 10u + 1
c
2
u
39
− u
38
+ ··· − 2u − 1
c
3
u
39
+ 3u
38
+ ··· + 11u + 1
c
4
u
39
+ u
38
+ ··· + 5u − 1
c
5
u
39
+ 2u
38
+ ··· + 7u + 1
c
6
u
39
+ u
38
+ ··· − 2u + 1
c
7
u
39
+ u
38
+ ··· − 20u + 1
c
8
u
39
+ 14u
38
+ ··· − 3u + 1
c
9
u
39
− 10u
38
+ ··· + 3u − 1
c
10
u
39
− 7u
38
+ ··· − 14u
2
− 1
c
11
u
39
+ u
38
+ ··· + 4u − 1
c
12
u
39
− u
38
+ ··· + 7u + 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
39
+ 7y
38
+ ··· + 38y −1
c
2
, c
6
y
39
+ 19y
38
+ ··· − 10y −1
c
3
y
39
+ 11y
38
+ ··· + 19y −1
c
4
y
39
− 11y
38
+ ··· − y −1
c
5
y
39
− 14y
38
+ ··· − 13y −1
c
7
y
39
− 17y
38
+ ··· + 24y −1
c
8
y
39
− 22y
38
+ ··· + 29y −1
c
9
y
39
− 26y
38
+ ··· + 43y −1
c
10
y
39
− 9y
38
+ ··· − 28y −1
c
11
y
39
− 15y
38
+ ··· − 10y −1
c
12
y
39
− 5y
38
+ ··· − 43y −1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.870830 + 0.476456I
a = −0.713386 + 0.340307I
b = −1.040010 + 0.661553I
3.49710 − 0.71542I −1.46862 − 2.15085I
u = 0.870830 − 0.476456I
a = −0.713386 − 0.340307I
b = −1.040010 − 0.661553I
3.49710 + 0.71542I −1.46862 + 2.15085I
u = −0.967543
a = −0.631749
b = −0.709021
−0.507455 −0.0283450
u = −0.651551 + 0.698870I
a = −0.036221 + 0.674810I
b = 1.170490 + 0.546457I
1.15776 − 9.29905I 0.85647 + 8.27487I
u = −0.651551 − 0.698870I
a = −0.036221 − 0.674810I
b = 1.170490 − 0.546457I
1.15776 + 9.29905I 0.85647 − 8.27487I
u = −0.647578 + 0.850568I
a = −2.15223 − 1.73958I
b = −2.32276 + 0.22195I
4.26232 − 2.52080I 2.77214 + 3.68658I
u = −0.647578 − 0.850568I
a = −2.15223 + 1.73958I
b = −2.32276 − 0.22195I
4.26232 + 2.52080I 2.77214 − 3.68658I
u = 0.520900 + 0.754246I
a = −0.79539 − 1.55170I
b = −0.920437 + 0.112268I
1.74607 + 1.53182I −47.5884 + 7.1760I
u = 0.520900 − 0.754246I
a = −0.79539 + 1.55170I
b = −0.920437 − 0.112268I
1.74607 − 1.53182I −47.5884 − 7.1760I
u = 0.435558 + 0.797901I
a = 3.55641 − 0.65211I
b = 0.233985 + 0.042520I
−0.135907 − 0.403424I −92.1840 + 56.8072I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.435558 − 0.797901I
a = 3.55641 + 0.65211I
b = 0.233985 − 0.042520I
−0.135907 + 0.403424I −92.1840 − 56.8072I
u = −0.913448 + 0.600242I
a = −0.782789 − 1.068380I
b = −1.021490 − 0.914154I
2.49573 + 6.10598I 2.13027 − 6.91041I
u = −0.913448 − 0.600242I
a = −0.782789 + 1.068380I
b = −1.021490 + 0.914154I
2.49573 − 6.10598I 2.13027 + 6.91041I
u = −0.492713 + 0.736261I
a = 2.49713 + 1.57094I
b = 2.04432 − 0.00165I
0.63231 + 6.96419I 3.27363 − 3.57185I
u = −0.492713 − 0.736261I
a = 2.49713 − 1.57094I
b = 2.04432 + 0.00165I
0.63231 − 6.96419I 3.27363 + 3.57185I
u = −0.534537 + 0.985306I
a = 1.60455 + 1.93776I
b = 1.88255 − 0.54288I
−0.24312 − 11.16120I 0.96720 + 10.72526I
u = −0.534537 − 0.985306I
a = 1.60455 − 1.93776I
b = 1.88255 + 0.54288I
−0.24312 + 11.16120I 0.96720 − 10.72526I
u = 0.364896 + 1.064660I
a = 0.364628 − 1.308300I
b = 0.138734 + 0.393419I
−0.80682 + 3.74346I 8.42333 − 4.15244I
u = 0.364896 − 1.064660I
a = 0.364628 + 1.308300I
b = 0.138734 − 0.393419I
−0.80682 − 3.74346I 8.42333 + 4.15244I
u = 0.694819 + 0.900847I
a = −0.646205 + 0.757330I
b = −0.380030 − 0.233144I
0.89506 + 3.33220I 0.58600 − 5.75419I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.694819 − 0.900847I
a = −0.646205 − 0.757330I
b = −0.380030 + 0.233144I
0.89506 − 3.33220I 0.58600 + 5.75419I
u = 0.110331 + 1.146440I
a = −0.192409 + 0.352822I
b = −0.264819 − 1.066650I
−4.53928 + 4.91392I −5.42383 − 6.67943I
u = 0.110331 − 1.146440I
a = −0.192409 − 0.352822I
b = −0.264819 + 1.066650I
−4.53928 − 4.91392I −5.42383 + 6.67943I
u = 0.291085 + 1.124440I
a = −0.488936 − 0.312702I
b = 0.250825 − 0.994610I
−4.41072 + 5.00573I −9.20733 − 9.53125I
u = 0.291085 − 1.124440I
a = −0.488936 + 0.312702I
b = 0.250825 + 0.994610I
−4.41072 − 5.00573I −9.20733 + 9.53125I
u = 0.207601 + 0.804222I
a = 1.81971 + 0.29851I
b = −0.00086 + 1.64182I
−3.16772 − 3.01532I −8.05356 + 5.17690I
u = 0.207601 − 0.804222I
a = 1.81971 − 0.29851I
b = −0.00086 − 1.64182I
−3.16772 + 3.01532I −8.05356 − 5.17690I
u = −0.405321 + 1.176170I
a = −0.032063 − 0.923986I
b = −0.993926 − 0.380377I
−4.41843 − 4.30892I −5.22034 + 4.18736I
u = −0.405321 − 1.176170I
a = −0.032063 + 0.923986I
b = −0.993926 + 0.380377I
−4.41843 + 4.30892I −5.22034 − 4.18736I
u = −0.716274 + 1.089810I
a = −1.62924 − 0.42834I
b = −1.08454 + 1.16956I
0.96799 − 12.11690I 0. + 9.74768I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.716274 − 1.089810I
a = −1.62924 + 0.42834I
b = −1.08454 − 1.16956I
0.96799 + 12.11690I 0. − 9.74768I
u = 0.754323 + 1.101500I
a = −1.093150 + 0.504736I
b = −0.95415 − 1.13696I
1.64982 + 6.81506I 12.10593 + 0.I
u = 0.754323 − 1.101500I
a = −1.093150 − 0.504736I
b = −0.95415 + 1.13696I
1.64982 − 6.81506I 12.10593 + 0.I
u = −0.25920 + 1.41058I
a = −0.263362 + 0.022030I
b = 0.356284 + 0.298320I
−1.15175 + 4.19464I 0
u = −0.25920 − 1.41058I
a = −0.263362 − 0.022030I
b = 0.356284 − 0.298320I
−1.15175 − 4.19464I 0
u = −0.129413 + 0.497977I
a = 1.12038 − 1.07742I
b = −1.271170 − 0.481004I
1.66726 + 0.07529I 2.23070 + 0.83702I
u = −0.129413 − 0.497977I
a = 1.12038 + 1.07742I
b = −1.271170 + 0.481004I
1.66726 − 0.07529I 2.23070 − 0.83702I
u = 0.483463 + 0.062902I
a = 0.67845 − 1.57305I
b = −0.468478 − 0.113231I
0.15606 + 2.54818I 7.96642 − 2.18314I
u = 0.483463 − 0.062902I
a = 0.67845 + 1.57305I
b = −0.468478 + 0.113231I
0.15606 − 2.54818I 7.96642 + 2.18314I
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
39
− 19u
38
+ ··· − 10u + 1)(u
199
+ 80u
198
+ ··· − 682010u − 19321)
c
2
(u
39
− u
38
+ ··· − 2u − 1)(u
199
+ 40u
197
+ ··· − 886u + 139)
c
3
(u
39
+ 3u
38
+ ··· + 11u + 1)(u
199
+ 4u
197
+ ··· − 15u + 2)
c
4
(u
39
+ u
38
+ ··· + 5u − 1)(u
199
+ 4u
198
+ ··· − 43u + 7)
c
5
(u
39
+ 2u
38
+ ··· + 7u + 1)(u
199
+ u
198
+ ··· + 3083941u − 3270107)
c
6
(u
39
+ u
38
+ ··· − 2u + 1)(u
199
+ 40u
197
+ ··· − 886u + 139)
c
7
(u
39
+ u
38
+ ··· − 20u + 1)(u
199
− 4u
198
+ ··· − 48u + 1)
c
8
(u
39
+ 14u
38
+ ··· − 3u + 1)(u
199
− 13u
198
+ ··· + 67u + 1)
c
9
(u
39
− 10u
38
+ ··· + 3u − 1)(u
199
− 5u
198
+ ··· − 35977u − 38728)
c
10
(u
39
− 7u
38
+ ··· − 14u
2
− 1)(u
199
+ 2u
198
+ ··· − 73602u + 7609)
c
11
(u
39
+ u
38
+ ··· + 4u − 1)(u
199
+ 2u
198
+ ··· − 81u + 4)
c
12
(u
39
− u
38
+ ··· + 7u + 1)(u
199
+ 14u
198
+ ··· + 7u − 1)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
39
+ 7y
38
+ ··· + 38y −1)
· (y
199
+ 84y
198
+ ··· − 5691751490y −373301041)
c
2
, c
6
(y
39
+ 19y
38
+ ··· − 10y −1)(y
199
+ 80y
198
+ ··· − 682010y −19321)
c
3
(y
39
+ 11y
38
+ ··· + 19y −1)(y
199
+ 8y
198
+ ··· + 809y −4)
c
4
(y
39
− 11y
38
+ ··· − y −1)(y
199
− 30y
198
+ ··· − 41y −49)
c
5
(y
39
− 14y
38
+ ··· − 13y −1)
· (y
199
− 73y
198
+ ··· + 323847798103351y −10693599791449)
c
7
(y
39
− 17y
38
+ ··· + 24y −1)(y
199
− 12y
198
+ ··· + 64y −1)
c
8
(y
39
− 22y
38
+ ··· + 29y −1)(y
199
− 21y
198
+ ··· + 205y −1)
c
9
(y
39
− 26y
38
+ ··· + 43y −1)
· (y
199
− 41y
198
+ ··· + 110633557809y −1499857984)
c
10
(y
39
− 9y
38
+ ··· − 28y −1)
· (y
199
+ 8y
198
+ ··· − 4561096888y −57896881)
c
11
(y
39
− 15y
38
+ ··· − 10y −1)(y
199
+ 6y
198
+ ··· − 1495y −16)
c
12
(y
39
− 5y
38
+ ··· − 43y −1)(y
199
+ 44y
198
+ ··· − 2003y −1)
35
