12a
0946
(K12a
0946
)
A knot diagram
1
Linearized knot diagam
4 6 10 8 2 11 5 12 1 3 7 9
Solving Sequence
8,12
9 1
5,10
4 2 3 7 11 6
c
8
c
12
c
9
c
4
c
1
c
3
c
7
c
11
c
6
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.82351 × 10
199
u
97
− 3.99104 × 10
199
u
96
+ ··· + 1.17463 × 10
197
b − 5.97726 × 10
199
,
− 8.41837 × 10
199
u
97
+ 3.53183 × 10
200
u
96
+ ··· + 1.17463 × 10
197
a − 7.10346 × 10
200
,
u
98
− 4u
97
+ ··· + 21u + 1i
I
u
2
= h−165708u
22
− 355153u
21
+ ··· + 96055b − 107266,
89858u
22
+ 320813u
21
+ ··· + 96055a + 622041, u
23
+ 3u
22
+ ··· + 5u − 1i
* 2 irreducible components of dim
C
= 0, with total 121 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
= h1.82 × 10
199
u
97
− 3.99 × 10
199
u
96
+ · · · + 1.17 × 10
197
b − 5.98 ×
10
199
, −8.42 × 10
199
u
97
+ 3.53 × 10
200
u
96
+ · · · + 1.17 × 10
197
a − 7.10 ×
10
200
, u
98
− 4u
97
+ · · · + 21u + 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
9
=
1
u
2
a
1
=
−u
−u
3
+ u
a
5
=
716.680u
97
− 3006.74u
96
+ ··· + 84179.0u + 6047.37
−155.241u
97
+ 339.769u
96
+ ··· + 7987.50u + 508.861
a
10
=
−u
2
+ 1
−u
4
+ 2u
2
a
4
=
561.439u
97
− 2666.97u
96
+ ··· + 92166.5u + 6556.23
−155.241u
97
+ 339.769u
96
+ ··· + 7987.50u + 508.861
a
2
=
−2232.86u
97
+ 9464.74u
96
+ ··· − 162707.u − 9052.39
240.514u
97
− 994.313u
96
+ ··· + 20176.8u + 1288.64
a
3
=
726.180u
97
− 3041.76u
96
+ ··· + 86152.2u + 6221.39
−171.747u
97
+ 386.011u
96
+ ··· + 8024.20u + 506.994
a
7
=
−884.790u
97
+ 3739.52u
96
+ ··· − 77156.6u − 4840.59
574.685u
97
− 1162.46u
96
+ ··· − 30034.5u − 1690.30
a
11
=
−2218.70u
97
+ 9267.40u
96
+ ··· − 178246.u − 10919.1
−1006.24u
97
+ 2826.71u
96
+ ··· + 2301.61u − 78.0343
a
6
=
2277.85u
97
− 9597.62u
96
+ ··· + 161982.u + 8982.40
−434.686u
97
+ 1510.96u
96
+ ··· − 17995.0u − 1202.35
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2276.86u
97
+ 4325.44u
96
+ ··· + 123935.u + 6545.69
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
98
− 15u
97
+ ··· + 8302550u − 947299
c
2
, c
5
u
98
− 37u
96
+ ··· + 5041u − 631
c
3
, c
10
u
98
+ u
97
+ ··· − 633u − 389
c
4
, c
7
u
98
− 9u
97
+ ··· − 284u − 61
c
6
, c
11
u
98
− u
97
+ ··· + 3881u + 173
c
8
, c
9
, c
12
u
98
+ 4u
97
+ ··· − 21u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
98
− 47y
97
+ ··· − 51996320363916y + 897375395401
c
2
, c
5
y
98
− 74y
97
+ ··· − 157589775y + 398161
c
3
, c
10
y
98
+ 69y
97
+ ··· + 1816611y + 151321
c
4
, c
7
y
98
+ 23y
97
+ ··· + 57570y + 3721
c
6
, c
11
y
98
− 91y
97
+ ··· − 16222645y + 29929
c
8
, c
9
, c
12
y
98
− 102y
97
+ ··· − 139y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.869872 + 0.514495I
a = −0.048478 + 1.314500I
b = −0.088737 − 0.875286I
−0.28390 − 1.77488I 0
u = 0.869872 − 0.514495I
a = −0.048478 − 1.314500I
b = −0.088737 + 0.875286I
−0.28390 + 1.77488I 0
u = −0.270398 + 0.916483I
a = −0.39159 + 1.83133I
b = 0.573341 − 0.717745I
−8.98485 − 2.04867I 0
u = −0.270398 − 0.916483I
a = −0.39159 − 1.83133I
b = 0.573341 + 0.717745I
−8.98485 + 2.04867I 0
u = −0.585491 + 0.889556I
a = 0.17534 + 1.76595I
b = 0.658148 − 1.174700I
−8.1077 + 12.6582I 0
u = −0.585491 − 0.889556I
a = 0.17534 − 1.76595I
b = 0.658148 + 1.174700I
−8.1077 − 12.6582I 0
u = 0.704943 + 0.595999I
a = −0.891461 + 0.408499I
b = 0.510400 − 0.949226I
−3.04222 + 2.80965I 0
u = 0.704943 − 0.595999I
a = −0.891461 − 0.408499I
b = 0.510400 + 0.949226I
−3.04222 − 2.80965I 0
u = −0.882350 + 0.204173I
a = 0.141906 + 0.744432I
b = −0.403138 + 0.275887I
−4.53891 + 2.03666I 0
u = −0.882350 − 0.204173I
a = 0.141906 − 0.744432I
b = −0.403138 − 0.275887I
−4.53891 − 2.03666I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.097570 + 0.119002I
a = −0.118553 − 1.109170I
b = −0.123711 + 1.365490I
1.14164 + 3.24395I 0
u = −1.097570 − 0.119002I
a = −0.118553 + 1.109170I
b = −0.123711 − 1.365490I
1.14164 − 3.24395I 0
u = −0.688407 + 0.561148I
a = −0.650784 − 0.430337I
b = 0.973526 + 0.319802I
−10.62400 + 6.79732I 0
u = −0.688407 − 0.561148I
a = −0.650784 + 0.430337I
b = 0.973526 − 0.319802I
−10.62400 − 6.79732I 0
u = 0.461679 + 0.753927I
a = 0.80237 − 1.37988I
b = 0.213932 + 0.897044I
0.78025 − 2.89614I 0
u = 0.461679 − 0.753927I
a = 0.80237 + 1.37988I
b = 0.213932 − 0.897044I
0.78025 + 2.89614I 0
u = 1.011600 + 0.503109I
a = 0.678392 − 0.662548I
b = −0.194790 + 0.833586I
−0.370730 − 0.826230I 0
u = 1.011600 − 0.503109I
a = 0.678392 + 0.662548I
b = −0.194790 − 0.833586I
−0.370730 + 0.826230I 0
u = −0.671090 + 0.935512I
a = −0.749624 − 0.949294I
b = 0.569152 + 0.950530I
−8.24796 − 6.61463I 0
u = −0.671090 − 0.935512I
a = −0.749624 + 0.949294I
b = 0.569152 − 0.950530I
−8.24796 + 6.61463I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.522173 + 1.034860I
a = 0.04375 − 1.65386I
b = −0.539141 + 1.015470I
−3.10943 + 5.35221I 0
u = −0.522173 − 1.034860I
a = 0.04375 + 1.65386I
b = −0.539141 − 1.015470I
−3.10943 − 5.35221I 0
u = 0.387529 + 0.723166I
a = 0.04318 − 1.77881I
b = 0.726237 + 1.144420I
−2.08402 − 7.34587I 0
u = 0.387529 − 0.723166I
a = 0.04318 + 1.77881I
b = 0.726237 − 1.144420I
−2.08402 + 7.34587I 0
u = 0.528845 + 0.624827I
a = −1.26838 + 1.67727I
b = −0.407170 − 1.180840I
−2.20388 − 6.21863I 0
u = 0.528845 − 0.624827I
a = −1.26838 − 1.67727I
b = −0.407170 + 1.180840I
−2.20388 + 6.21863I 0
u = 0.333186 + 0.719444I
a = −0.05652 + 1.92417I
b = −0.461574 − 1.066670I
1.49262 − 3.60891I 0
u = 0.333186 − 0.719444I
a = −0.05652 − 1.92417I
b = −0.461574 + 1.066670I
1.49262 + 3.60891I 0
u = −0.783414 + 0.004145I
a = 0.158363 + 1.025910I
b = 0.382098 + 1.016450I
−6.70285 + 1.34124I 0
u = −0.783414 − 0.004145I
a = 0.158363 − 1.025910I
b = 0.382098 − 1.016450I
−6.70285 − 1.34124I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.449601 + 0.612429I
a = 0.104284 + 0.676685I
b = −0.786712 − 0.014675I
−5.77164 − 2.03836I 0
u = 0.449601 − 0.612429I
a = 0.104284 − 0.676685I
b = −0.786712 + 0.014675I
−5.77164 + 2.03836I 0
u = −0.959993 + 0.837975I
a = 0.578380 + 0.792131I
b = −0.452856 − 0.652095I
−4.36445 + 1.15897I 0
u = −0.959993 − 0.837975I
a = 0.578380 − 0.792131I
b = −0.452856 + 0.652095I
−4.36445 − 1.15897I 0
u = 0.448449 + 0.524633I
a = 0.52821 − 1.42812I
b = −0.364140 + 1.219180I
−2.06583 + 2.19697I 0
u = 0.448449 − 0.524633I
a = 0.52821 + 1.42812I
b = −0.364140 − 1.219180I
−2.06583 − 2.19697I 0
u = 1.31686
a = −1.60742
b = −0.267280
−6.77367 0
u = −0.261404 + 0.577945I
a = 1.04619 + 1.52960I
b = 0.053626 − 1.058280I
3.01178 − 0.71050I 0
u = −0.261404 − 0.577945I
a = 1.04619 − 1.52960I
b = 0.053626 + 1.058280I
3.01178 + 0.71050I 0
u = −0.461099 + 0.422487I
a = −1.01878 − 1.15989I
b = −0.354585 + 1.158230I
2.09347 + 3.83166I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.461099 − 0.422487I
a = −1.01878 + 1.15989I
b = −0.354585 − 1.158230I
2.09347 − 3.83166I 0
u = −1.382110 + 0.108989I
a = −1.38912 − 0.47418I
b = −0.280843 − 0.379965I
−11.55750 + 5.11496I 0
u = −1.382110 − 0.108989I
a = −1.38912 + 0.47418I
b = −0.280843 + 0.379965I
−11.55750 − 5.11496I 0
u = 1.40164
a = 0.346080
b = 5.07944
−8.43925 0
u = 1.40182
a = −0.916679
b = −1.03145
−6.55811 0
u = 1.396470 + 0.154079I
a = 0.919280 − 0.440603I
b = 0.455419 + 0.869864I
−2.22672 − 1.88160I 0
u = 1.396470 − 0.154079I
a = 0.919280 + 0.440603I
b = 0.455419 − 0.869864I
−2.22672 + 1.88160I 0
u = −1.41981 + 0.05352I
a = −0.017454 + 0.228727I
b = −0.81981 − 1.98461I
−7.84955 − 0.46685I 0
u = −1.41981 − 0.05352I
a = −0.017454 − 0.228727I
b = −0.81981 + 1.98461I
−7.84955 + 0.46685I 0
u = −1.42967 + 0.07453I
a = 0.659562 − 0.271659I
b = 0.504770 + 0.791881I
−6.06877 + 2.51605I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.42967 − 0.07453I
a = 0.659562 + 0.271659I
b = 0.504770 − 0.791881I
−6.06877 − 2.51605I 0
u = 1.44941 + 0.01184I
a = −0.496300 + 0.956160I
b = −0.57569 − 1.60938I
−7.57045 − 1.72351I 0
u = 1.44941 − 0.01184I
a = −0.496300 − 0.956160I
b = −0.57569 + 1.60938I
−7.57045 + 1.72351I 0
u = −1.43972 + 0.18025I
a = 0.85249 + 1.42167I
b = 0.513480 − 1.083380I
−9.23881 + 3.62406I 0
u = −1.43972 − 0.18025I
a = 0.85249 − 1.42167I
b = 0.513480 + 1.083380I
−9.23881 − 3.62406I 0
u = −1.43973 + 0.23623I
a = −0.699954 − 0.749392I
b = −0.661993 + 0.186674I
−11.81760 + 5.06712I 0
u = −1.43973 − 0.23623I
a = −0.699954 + 0.749392I
b = −0.661993 − 0.186674I
−11.81760 − 5.06712I 0
u = 1.46464 + 0.00549I
a = 1.23498 − 1.52616I
b = 0.424830 + 1.091030I
−13.25910 − 4.36452I 0
u = 1.46464 − 0.00549I
a = 1.23498 + 1.52616I
b = 0.424830 − 1.091030I
−13.25910 + 4.36452I 0
u = 0.535217
a = 0.642917
b = −0.474087
−1.04986 −8.43700
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.46864
a = −0.185257
b = −1.53993
−7.44543 0
u = −1.45965 + 0.22884I
a = −0.794962 − 0.986945I
b = −0.70785 + 1.23422I
−4.33606 + 6.96557I 0
u = −1.45965 − 0.22884I
a = −0.794962 + 0.986945I
b = −0.70785 − 1.23422I
−4.33606 − 6.96557I 0
u = 0.230404 + 0.465670I
a = −0.34146 − 3.49119I
b = 0.456507 + 0.739761I
−3.77190 − 1.20036I −8.00000 + 6.08405I
u = 0.230404 − 0.465670I
a = −0.34146 + 3.49119I
b = 0.456507 − 0.739761I
−3.77190 + 1.20036I −8.00000 − 6.08405I
u = −1.46401 + 0.24425I
a = 0.819735 + 0.895580I
b = 0.98420 − 1.23121I
−8.06381 + 10.82180I 0
u = −1.46401 − 0.24425I
a = 0.819735 − 0.895580I
b = 0.98420 + 1.23121I
−8.06381 − 10.82180I 0
u = 1.48437 + 0.14298I
a = −0.851238 + 0.373681I
b = −0.673810 − 1.087680I
−4.26573 − 5.94169I 0
u = 1.48437 − 0.14298I
a = −0.851238 − 0.373681I
b = −0.673810 + 1.087680I
−4.26573 + 5.94169I 0
u = 0.322091 + 0.347887I
a = 0.764968 + 0.507804I
b = 0.150587 − 0.277895I
−0.494191 − 1.020860I −7.14325 + 6.83683I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.322091 − 0.347887I
a = 0.764968 − 0.507804I
b = 0.150587 + 0.277895I
−0.494191 + 1.020860I −7.14325 − 6.83683I
u = −1.52203 + 0.25474I
a = 0.919547 + 0.643294I
b = 0.487316 − 0.904250I
−5.74028 + 6.55073I 0
u = −1.52203 − 0.25474I
a = 0.919547 − 0.643294I
b = 0.487316 + 0.904250I
−5.74028 − 6.55073I 0
u = −1.53962 + 0.20680I
a = −1.256030 − 0.595631I
b = −0.528288 + 1.126000I
−9.05232 + 9.27384I 0
u = −1.53962 − 0.20680I
a = −1.256030 + 0.595631I
b = −0.528288 − 1.126000I
−9.05232 − 9.27384I 0
u = 1.51409 + 0.40135I
a = 0.50074 − 1.35758I
b = 0.612341 + 1.075100I
−14.7222 − 2.8824I 0
u = 1.51409 − 0.40135I
a = 0.50074 + 1.35758I
b = 0.612341 − 1.075100I
−14.7222 + 2.8824I 0
u = 1.55785 + 0.17985I
a = 0.0467619 − 0.0855208I
b = 1.39744 − 0.42256I
−18.0134 − 9.5459I 0
u = 1.55785 − 0.17985I
a = 0.0467619 + 0.0855208I
b = 1.39744 + 0.42256I
−18.0134 + 9.5459I 0
u = 1.57169 + 0.30615I
a = 0.789632 − 1.095210I
b = 0.79146 + 1.30982I
−15.1407 − 17.0445I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.57169 − 0.30615I
a = 0.789632 + 1.095210I
b = 0.79146 − 1.30982I
−15.1407 + 17.0445I 0
u = 1.60213 + 0.16000I
a = −0.0739943 − 0.0751522I
b = −1.082620 + 0.233913I
−13.06300 − 4.11534I 0
u = 1.60213 − 0.16000I
a = −0.0739943 + 0.0751522I
b = −1.082620 − 0.233913I
−13.06300 + 4.11534I 0
u = −1.60859 + 0.08568I
a = −0.037104 + 0.140652I
b = 0.446257 + 0.535147I
−11.04550 − 0.49456I 0
u = −1.60859 − 0.08568I
a = −0.037104 − 0.140652I
b = 0.446257 − 0.535147I
−11.04550 + 0.49456I 0
u = 1.58533 + 0.34520I
a = −0.621381 + 1.142830I
b = −0.67855 − 1.25364I
−10.0150 − 10.3535I 0
u = 1.58533 − 0.34520I
a = −0.621381 − 1.142830I
b = −0.67855 + 1.25364I
−10.0150 + 10.3535I 0
u = 1.63270 + 0.01997I
a = 0.193347 + 0.663383I
b = 0.280543 + 0.626170I
−15.0545 + 1.1487I 0
u = 1.63270 − 0.01997I
a = 0.193347 − 0.663383I
b = 0.280543 − 0.626170I
−15.0545 − 1.1487I 0
u = 1.68043 + 0.23147I
a = −0.124958 + 0.231288I
b = 0.648726 − 0.557331I
−16.3165 + 2.0940I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.68043 − 0.23147I
a = −0.124958 − 0.231288I
b = 0.648726 + 0.557331I
−16.3165 − 2.0940I 0
u = 0.048534 + 0.263196I
a = −1.38801 + 1.88767I
b = 1.47618 − 1.06789I
−3.97497 − 0.28471I 16.2498 + 7.3169I
u = 0.048534 − 0.263196I
a = −1.38801 − 1.88767I
b = 1.47618 + 1.06789I
−3.97497 + 0.28471I 16.2498 − 7.3169I
u = −0.206718
a = −1.79256
b = −0.714407
−1.36091 −4.55190
u = −0.170914 + 0.029465I
a = 11.31340 − 6.60130I
b = 0.316331 + 0.777572I
−7.57568 − 4.37408I −17.4821 + 11.0490I
u = −0.170914 − 0.029465I
a = 11.31340 + 6.60130I
b = 0.316331 − 0.777572I
−7.57568 + 4.37408I −17.4821 − 11.0490I
u = −0.166697 + 0.031468I
a = −2.77224 − 5.52351I
b = −0.446995 + 1.135490I
−2.03976 + 1.55362I −12.68068 + 0.63853I
u = −0.166697 − 0.031468I
a = −2.77224 + 5.52351I
b = −0.446995 − 1.135490I
−2.03976 − 1.55362I −12.68068 − 0.63853I
14
II. I
u
2
= h−1.66 × 10
5
u
22
− 3.55 × 10
5
u
21
+ · · · + 9.61 × 10
4
b − 1.07 ×
10
5
, 89858u
22
+ 320813u
21
+ · · · + 96055a + 622041, u
23
+ 3u
22
+ · · · + 5u − 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
9
=
1
u
2
a
1
=
−u
−u
3
+ u
a
5
=
−0.935485u
22
− 3.33989u
21
+ ··· + 2.18467u − 6.47588
1.72514u
22
+ 3.69739u
21
+ ··· + 3.10480u + 1.11671
a
10
=
−u
2
+ 1
−u
4
+ 2u
2
a
4
=
0.789652u
22
+ 0.357504u
21
+ ··· + 5.28947u − 5.35917
1.72514u
22
+ 3.69739u
21
+ ··· + 3.10480u + 1.11671
a
2
=
0.318713u
22
+ 0.614273u
21
+ ··· − 3.46582u − 1.75854
0.272719u
22
+ 1.12640u
21
+ ··· + 0.652168u + 0.885711
a
3
=
−0.830326u
22
− 2.78691u
21
+ ··· + 0.402238u − 6.17249
1.24227u
22
+ 2.99330u
21
+ ··· + 1.15287u + 1.30365
a
7
=
0.370642u
22
+ 2.04604u
21
+ ··· + 1.73914u + 7.55165
3.27272u
22
+ 5.12640u
21
+ ··· + 9.65217u − 3.11429
a
11
=
1.53439u
22
+ 5.16075u
21
+ ··· + 5.57690u + 8.34217
−3.06589u
22
− 5.26817u
21
+ ··· − 11.3016u + 0.370642
a
6
=
−0.511582u
22
− 1.63609u
21
+ ··· − 2.78819u − 3.17865
1.34322u
22
+ 2.95797u
21
+ ··· + 3.95208u − 0.0483994
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1739283
96055
u
22
+
3543658
96055
u
21
+ ··· +
4115202
96055
u −
1012759
96055
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
23
− 2u
22
+ ··· + 18u − 1
c
2
u
23
+ 5u
22
+ ··· − 3u − 1
c
3
u
23
− u
21
+ ··· + u − 1
c
4
u
23
− 2u
22
+ ··· + 2u + 1
c
5
u
23
− 5u
22
+ ··· − 3u + 1
c
6
u
23
− 2u
22
+ ··· + 7u + 1
c
7
u
23
+ 2u
22
+ ··· + 2u − 1
c
8
, c
9
u
23
+ 3u
22
+ ··· + 5u − 1
c
10
u
23
− u
21
+ ··· + u + 1
c
11
u
23
+ 2u
22
+ ··· + 7u − 1
c
12
u
23
− 3u
22
+ ··· + 5u + 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
23
− 6y
22
+ ··· + 26y −1
c
2
, c
5
y
23
− 13y
22
+ ··· + 5y −1
c
3
, c
10
y
23
− 2y
22
+ ··· − 25y −1
c
4
, c
7
y
23
− 8y
22
+ ··· + 140y
2
− 1
c
6
, c
11
y
23
− 26y
22
+ ··· + 55y −1
c
8
, c
9
, c
12
y
23
− 25y
22
+ ··· + 41y −1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.947471 + 0.071959I
a = −0.097284 + 0.928452I
b = −0.193218 − 1.284690I
1.49325 − 2.96426I −3.20077 − 2.76915I
u = 0.947471 − 0.071959I
a = −0.097284 − 0.928452I
b = −0.193218 + 1.284690I
1.49325 + 2.96426I −3.20077 + 2.76915I
u = −0.798914 + 0.453528I
a = 0.00437 − 1.92156I
b = −0.212194 + 1.118550I
−2.16158 + 2.85386I −12.49728 − 4.55537I
u = −0.798914 − 0.453528I
a = 0.00437 + 1.92156I
b = −0.212194 − 1.118550I
−2.16158 − 2.85386I −12.49728 + 4.55537I
u = 0.960230 + 0.543620I
a = 0.527847 − 0.911151I
b = −0.275240 + 0.743970I
−1.053160 − 0.725959I −16.6974 − 1.1312I
u = 0.960230 − 0.543620I
a = 0.527847 + 0.911151I
b = −0.275240 − 0.743970I
−1.053160 + 0.725959I −16.6974 + 1.1312I
u = 0.492565 + 0.733927I
a = −0.44669 + 1.65064I
b = −0.443289 − 0.985411I
0.14885 − 4.02712I −11.38808 + 7.15300I
u = 0.492565 − 0.733927I
a = −0.44669 − 1.65064I
b = −0.443289 + 0.985411I
0.14885 + 4.02712I −11.38808 − 7.15300I
u = −1.041840 + 0.577200I
a = 0.743160 + 0.314273I
b = −0.200699 − 0.879786I
−3.05262 + 1.19955I −9.65854 − 1.12734I
u = −1.041840 − 0.577200I
a = 0.743160 − 0.314273I
b = −0.200699 + 0.879786I
−3.05262 − 1.19955I −9.65854 + 1.12734I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.350290 + 0.221473I
a = 1.35794 + 1.63458I
b = 0.379300 − 0.856235I
−10.98820 + 6.37771I −13.9915 − 7.0154I
u = −1.350290 − 0.221473I
a = 1.35794 − 1.63458I
b = 0.379300 + 0.856235I
−10.98820 − 6.37771I −13.9915 + 7.0154I
u = 1.39466
a = 0.544457
b = 3.24559
−8.51698 −37.7320
u = −1.44240
a = −0.122111
b = −3.04389
−7.87221 −44.8720
u = −0.327685 + 0.442216I
a = −3.51601 − 1.62896I
b = 0.215376 + 0.752301I
−7.35127 − 3.89763I −10.27703 − 2.30446I
u = −0.327685 − 0.442216I
a = −3.51601 + 1.62896I
b = 0.215376 − 0.752301I
−7.35127 + 3.89763I −10.27703 + 2.30446I
u = −1.52957 + 0.22726I
a = −0.864540 − 0.745955I
b = −0.677631 + 1.055860I
−6.54712 + 7.43665I −15.1164 − 6.3728I
u = −1.52957 − 0.22726I
a = −0.864540 + 0.745955I
b = −0.677631 − 1.055860I
−6.54712 − 7.43665I −15.1164 + 6.3728I
u = 0.448004
a = 0.310841
b = −0.863178
−1.86606 −23.2090
u = −1.59135
a = −0.280870
b = 0.249356
−10.7789 −8.77650
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.65226 + 0.08839I
a = −0.511819 − 0.390354I
b = 0.048818 − 0.611490I
−14.7824 + 1.7992I −12.84740 − 5.45440I
u = 1.65226 − 0.08839I
a = −0.511819 + 0.390354I
b = 0.048818 + 0.611490I
−14.7824 − 1.7992I −12.84740 + 5.45440I
u = 0.182624
a = −4.84626
b = 1.12968
−4.10240 −7.06160
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
23
− 2u
22
+ ··· + 18u − 1)(u
98
− 15u
97
+ ··· + 8302550u − 947299)
c
2
(u
23
+ 5u
22
+ ··· − 3u − 1)(u
98
− 37u
96
+ ··· + 5041u − 631)
c
3
(u
23
− u
21
+ ··· + u − 1)(u
98
+ u
97
+ ··· − 633u − 389)
c
4
(u
23
− 2u
22
+ ··· + 2u + 1)(u
98
− 9u
97
+ ··· − 284u − 61)
c
5
(u
23
− 5u
22
+ ··· − 3u + 1)(u
98
− 37u
96
+ ··· + 5041u − 631)
c
6
(u
23
− 2u
22
+ ··· + 7u + 1)(u
98
− u
97
+ ··· + 3881u + 173)
c
7
(u
23
+ 2u
22
+ ··· + 2u − 1)(u
98
− 9u
97
+ ··· − 284u − 61)
c
8
, c
9
(u
23
+ 3u
22
+ ··· + 5u − 1)(u
98
+ 4u
97
+ ··· − 21u + 1)
c
10
(u
23
− u
21
+ ··· + u + 1)(u
98
+ u
97
+ ··· − 633u − 389)
c
11
(u
23
+ 2u
22
+ ··· + 7u − 1)(u
98
− u
97
+ ··· + 3881u + 173)
c
12
(u
23
− 3u
22
+ ··· + 5u + 1)(u
98
+ 4u
97
+ ··· − 21u + 1)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
23
− 6y
22
+ ··· + 26y −1)
· (y
98
− 47y
97
+ ··· − 51996320363916y + 897375395401)
c
2
, c
5
(y
23
− 13y
22
+ ··· + 5y −1)
· (y
98
− 74y
97
+ ··· − 157589775y + 398161)
c
3
, c
10
(y
23
− 2y
22
+ ··· − 25y −1)(y
98
+ 69y
97
+ ··· + 1816611y + 151321)
c
4
, c
7
(y
23
− 8y
22
+ ··· + 140y
2
− 1)(y
98
+ 23y
97
+ ··· + 57570y + 3721)
c
6
, c
11
(y
23
− 26y
22
+ ··· + 55y −1)
· (y
98
− 91y
97
+ ··· − 16222645y + 29929)
c
8
, c
9
, c
12
(y
23
− 25y
22
+ ··· + 41y −1)(y
98
− 102y
97
+ ··· − 139y + 1)
22
