12a
0888
(K12a
0888
)
A knot diagram
1
Linearized knot diagam
4 6 7 12 11 10 1 5 2 3 9 8
Solving Sequence
6,10 3,7
4 11 2 1 5 9 12 8
c
6
c
3
c
10
c
2
c
1
c
5
c
9
c
11
c
8
c
4
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h6.54150 × 10
2113
u
198
+ 2.25876 × 10
2114
u
197
+ ··· + 8.55458 × 10
2111
b − 4.60399 × 10
2114
,
6.83826 × 10
2112
u
198
+ 2.36400 × 10
2113
u
197
+ ··· + 2.94986 × 10
2110
a − 4.90075 × 10
2113
,
u
199
+ 4u
198
+ ··· + 109u − 4i
I
u
2
= h6.56727 × 10
107
u
47
+ 2.94736 × 10
108
u
46
+ ··· + 2.61573 × 10
107
b + 7.33724 × 10
107
,
2.23775 × 10
108
u
47
+ 1.01685 × 10
109
u
46
+ ··· + 2.61573 × 10
107
a + 5.16537 × 10
108
, u
48
+ 5u
47
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 247 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
= h6.54 × 10
2113
u
198
+ 2.26 × 10
2114
u
197
+ · · · + 8.55 × 10
2111
b − 4.60 ×
10
2114
, 6.84 × 10
2112
u
198
+ 2.36 × 10
2113
u
197
+ · · · + 2.95 × 10
2110
a − 4.90 ×
10
2113
, u
199
+ 4u
198
+ · · · + 109u − 4i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
3
=
−231.817u
198
− 801.394u
197
+ ··· − 47715.6u + 1661.35
−76.4678u
198
− 264.041u
197
+ ··· − 15878.4u + 538.189
a
7
=
1
u
2
a
4
=
−225.100u
198
− 778.020u
197
+ ··· − 46484.7u + 1626.65
−74.6359u
198
− 257.674u
197
+ ··· − 15470.8u + 524.219
a
11
=
−612.133u
198
− 2116.82u
197
+ ··· − 126908.u + 4380.38
−85.3048u
198
− 294.370u
197
+ ··· − 18209.2u + 621.492
a
2
=
−155.349u
198
− 537.353u
197
+ ··· − 31837.3u + 1123.16
−76.4678u
198
− 264.041u
197
+ ··· − 15878.4u + 538.189
a
1
=
64.7717u
198
+ 223.713u
197
+ ··· + 13415.8u − 433.398
4.60523u
198
+ 15.3365u
197
+ ··· + 1372.27u − 56.9440
a
5
=
−333.963u
198
− 1151.55u
197
+ ··· − 69826.8u + 2360.83
−86.1451u
198
− 297.865u
197
+ ··· − 17706.9u + 600.597
a
9
=
−445.466u
198
− 1541.56u
197
+ ··· − 91239.5u + 3163.38
−81.3622u
198
− 280.883u
197
+ ··· − 17457.2u + 595.505
a
12
=
−84.3533u
198
− 294.144u
197
+ ··· − 13012.0u + 365.244
−14.2315u
198
− 48.5800u
197
+ ··· − 3365.36u + 118.263
a
8
=
21.3818u
198
+ 77.2319u
197
+ ··· − 506.183u + 131.472
9.19622u
198
+ 31.2502u
197
+ ··· + 2376.87u − 87.7508
(ii) Obstruction class = −1
(iii) Cusp Shapes = 396.332u
198
+ 1372.96u
197
+ ··· + 84384.4u − 2895.29
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
199
+ 12u
198
+ ··· − 55449899u + 2028184
c
2
u
199
− 2u
198
+ ··· + 47u + 1
c
3
u
199
+ u
198
+ ··· + 1717896531745u + 8566907748177
c
4
u
199
− u
198
+ ··· − 51u + 31
c
5
u
199
− 9u
198
+ ··· + 50548405469343u + 2906312135033
c
6
u
199
− 4u
198
+ ··· + 109u + 4
c
7
, c
12
u
199
− u
198
+ ··· + 106056u + 2767
c
8
u
199
− 2u
198
+ ··· + 45150805u + 2117682
c
9
u
199
− u
198
+ ··· − 1706345869u + 1142423049
c
10
u
199
+ 4u
198
+ ··· + 656177u + 80681
c
11
u
199
+ 6u
198
+ ··· − 37u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
199
− 40y
198
+ ··· + 781027898879017y −4113530337856
c
2
y
199
+ 26y
198
+ ··· + 177y −1
c
3
y
199
− 111y
198
+ ··· + 4.99 × 10
27
y −7.34 × 10
25
c
4
y
199
− 13y
198
+ ··· − 53013y −961
c
5
y
199
+ 65y
198
+ ··· − 5.44 × 10
26
y −8.45 × 10
24
c
6
y
199
− 60y
198
+ ··· + 6265y −16
c
7
, c
12
y
199
+ 159y
198
+ ··· + 230721528y −7656289
c
8
y
199
− 58y
198
+ ··· + 4291591582916281y −4484577053124
c
9
y
199
− 31y
198
+ ··· + 8.52 × 10
19
y −1.31 × 10
18
c
10
y
199
+ 62y
198
+ ··· − 432375389059y −6509423761
c
11
y
199
+ 16y
198
+ ··· − 385y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.323788 + 0.956988I
a = 0.667654 − 0.376841I
b = −0.177054 + 0.120704I
−0.49150 − 2.40703I 0
u = 0.323788 − 0.956988I
a = 0.667654 + 0.376841I
b = −0.177054 − 0.120704I
−0.49150 + 2.40703I 0
u = −0.785832 + 0.588249I
a = 0.07111 + 1.43473I
b = 1.01085 + 1.15919I
1.18695 + 4.28621I 0
u = −0.785832 − 0.588249I
a = 0.07111 − 1.43473I
b = 1.01085 − 1.15919I
1.18695 − 4.28621I 0
u = 0.949272 + 0.249807I
a = −0.71358 + 1.49382I
b = −0.406826 + 0.635104I
−2.03727 − 4.52529I 0
u = 0.949272 − 0.249807I
a = −0.71358 − 1.49382I
b = −0.406826 − 0.635104I
−2.03727 + 4.52529I 0
u = 0.480635 + 0.899006I
a = −0.023350 − 0.292064I
b = 1.057380 − 0.629958I
2.92284 − 3.39243I 0
u = 0.480635 − 0.899006I
a = −0.023350 + 0.292064I
b = 1.057380 + 0.629958I
2.92284 + 3.39243I 0
u = −0.360311 + 0.911287I
a = −0.216921 + 0.045739I
b = −0.465046 − 0.870341I
−4.03164 − 3.58737I 0
u = −0.360311 − 0.911287I
a = −0.216921 − 0.045739I
b = −0.465046 + 0.870341I
−4.03164 + 3.58737I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.725286 + 0.656503I
a = −0.44083 − 1.86867I
b = 0.863602 − 1.016940I
−5.13638 − 5.86234I 0
u = 0.725286 − 0.656503I
a = −0.44083 + 1.86867I
b = 0.863602 + 1.016940I
−5.13638 + 5.86234I 0
u = 0.962257 + 0.127497I
a = 0.404010 + 0.764562I
b = 0.94825 + 1.46284I
−6.63083 + 1.67851I 0
u = 0.962257 − 0.127497I
a = 0.404010 − 0.764562I
b = 0.94825 − 1.46284I
−6.63083 − 1.67851I 0
u = 0.654821 + 0.797900I
a = 0.213505 − 0.935232I
b = 0.715807 − 1.121800I
−1.31141 − 2.75691I 0
u = 0.654821 − 0.797900I
a = 0.213505 + 0.935232I
b = 0.715807 + 1.121800I
−1.31141 + 2.75691I 0
u = −1.042340 + 0.005407I
a = 0.189611 − 0.720294I
b = 1.27692 − 1.08388I
−8.66487 − 8.33594I 0
u = −1.042340 − 0.005407I
a = 0.189611 + 0.720294I
b = 1.27692 + 1.08388I
−8.66487 + 8.33594I 0
u = 0.426424 + 0.957357I
a = −0.147677 + 0.788946I
b = −1.034250 + 0.448121I
0.84671 + 5.88252I 0
u = 0.426424 − 0.957357I
a = −0.147677 − 0.788946I
b = −1.034250 − 0.448121I
0.84671 − 5.88252I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.096913 + 0.941468I
a = −1.96577 − 0.53172I
b = 1.000940 − 0.078089I
1.05606 − 4.87213I 0
u = 0.096913 − 0.941468I
a = −1.96577 + 0.53172I
b = 1.000940 + 0.078089I
1.05606 + 4.87213I 0
u = 0.564907 + 0.892151I
a = −0.499408 − 0.802657I
b = 1.071480 − 0.597387I
2.89216 − 4.55755I 0
u = 0.564907 − 0.892151I
a = −0.499408 + 0.802657I
b = 1.071480 + 0.597387I
2.89216 + 4.55755I 0
u = 0.893944 + 0.279837I
a = −0.123758 − 0.647024I
b = −0.969406 − 0.998165I
−2.27890 − 0.79570I 0
u = 0.893944 − 0.279837I
a = −0.123758 + 0.647024I
b = −0.969406 + 0.998165I
−2.27890 + 0.79570I 0
u = 0.672584 + 0.828175I
a = −0.106988 − 0.910380I
b = 1.04196 − 1.23080I
−0.36012 − 6.38149I 0
u = 0.672584 − 0.828175I
a = −0.106988 + 0.910380I
b = 1.04196 + 1.23080I
−0.36012 + 6.38149I 0
u = 0.302464 + 1.060080I
a = 1.42525 + 0.65612I
b = −0.972513 + 0.316322I
0.92092 − 3.48037I 0
u = 0.302464 − 1.060080I
a = 1.42525 − 0.65612I
b = −0.972513 − 0.316322I
0.92092 + 3.48037I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.896824
a = 0.409689
b = −0.568323
−1.71335 0
u = 0.521557 + 0.724607I
a = 0.021341 + 1.127670I
b = −1.06995 + 1.51914I
0.84025 − 7.67933I 0
u = 0.521557 − 0.724607I
a = 0.021341 − 1.127670I
b = −1.06995 − 1.51914I
0.84025 + 7.67933I 0
u = 0.564778 + 0.959312I
a = 0.522560 + 1.046920I
b = −0.700517 + 0.475594I
0.57466 − 4.52245I 0
u = 0.564778 − 0.959312I
a = 0.522560 − 1.046920I
b = −0.700517 − 0.475594I
0.57466 + 4.52245I 0
u = 0.873155 + 0.131603I
a = 0.157307 + 1.232550I
b = −1.00907 + 1.30822I
−8.73974 + 2.24560I 0
u = 0.873155 − 0.131603I
a = 0.157307 − 1.232550I
b = −1.00907 − 1.30822I
−8.73974 − 2.24560I 0
u = 0.742286 + 0.465956I
a = 1.266160 − 0.340133I
b = −0.015500 + 0.458490I
−2.38628 + 0.27161I 0
u = 0.742286 − 0.465956I
a = 1.266160 + 0.340133I
b = −0.015500 − 0.458490I
−2.38628 − 0.27161I 0
u = −0.531378 + 0.994319I
a = 0.062490 − 0.761390I
b = −0.902681 − 0.439001I
4.79372 − 0.96584I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.531378 − 0.994319I
a = 0.062490 + 0.761390I
b = −0.902681 + 0.439001I
4.79372 + 0.96584I 0
u = 0.996952 + 0.527145I
a = −0.043900 − 0.574589I
b = −0.359306 − 0.841527I
−1.95993 − 0.90366I 0
u = 0.996952 − 0.527145I
a = −0.043900 + 0.574589I
b = −0.359306 + 0.841527I
−1.95993 + 0.90366I 0
u = 0.936475 + 0.667721I
a = 0.558206 − 1.078580I
b = 1.17804 − 0.96787I
−1.95927 − 2.42706I 0
u = 0.936475 − 0.667721I
a = 0.558206 + 1.078580I
b = 1.17804 + 0.96787I
−1.95927 + 2.42706I 0
u = −0.836320 + 0.101458I
a = 0.213015 + 0.775985I
b = −1.12254 + 1.22527I
−4.39442 + 4.72099I 0
u = −0.836320 − 0.101458I
a = 0.213015 − 0.775985I
b = −1.12254 − 1.22527I
−4.39442 − 4.72099I 0
u = −1.047300 + 0.525620I
a = −0.82278 + 1.26278I
b = 0.066296 + 0.719138I
−5.35189 + 6.00591I 0
u = −1.047300 − 0.525620I
a = −0.82278 − 1.26278I
b = 0.066296 − 0.719138I
−5.35189 − 6.00591I 0
u = −0.543103 + 0.624813I
a = −0.52508 − 1.95543I
b = −0.1166340 + 0.0277607I
−3.70079 + 7.18957I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.543103 − 0.624813I
a = −0.52508 + 1.95543I
b = −0.1166340 − 0.0277607I
−3.70079 − 7.18957I 0
u = −0.705255 + 0.945028I
a = −0.039165 − 1.091780I
b = −0.97732 − 1.34000I
−2.19820 + 13.26320I 0
u = −0.705255 − 0.945028I
a = −0.039165 + 1.091780I
b = −0.97732 + 1.34000I
−2.19820 − 13.26320I 0
u = −0.295208 + 0.761712I
a = −1.93365 + 2.03738I
b = 0.745361 + 0.277657I
−5.06520 + 11.47870I 0
u = −0.295208 − 0.761712I
a = −1.93365 − 2.03738I
b = 0.745361 − 0.277657I
−5.06520 − 11.47870I 0
u = −0.804089 + 0.022949I
a = 2.02149 − 1.64136I
b = 0.138471 − 0.487076I
−7.90188 + 3.34180I 0
u = −0.804089 − 0.022949I
a = 2.02149 + 1.64136I
b = 0.138471 + 0.487076I
−7.90188 − 3.34180I 0
u = 0.732619 + 0.318472I
a = 0.168766 + 0.997870I
b = 1.38489 + 1.32211I
−7.5427 − 12.9521I 0
u = 0.732619 − 0.318472I
a = 0.168766 − 0.997870I
b = 1.38489 − 1.32211I
−7.5427 + 12.9521I 0
u = −0.430972 + 0.667243I
a = −0.133660 + 1.314420I
b = 0.997120 + 0.560998I
2.10001 + 1.15903I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.430972 − 0.667243I
a = −0.133660 − 1.314420I
b = 0.997120 − 0.560998I
2.10001 − 1.15903I 0
u = −0.739974 + 0.287271I
a = −0.619320 + 0.821462I
b = −1.36789 + 0.85900I
−7.61176 − 1.63049I 0
u = −0.739974 − 0.287271I
a = −0.619320 − 0.821462I
b = −1.36789 − 0.85900I
−7.61176 + 1.63049I 0
u = 0.773404 + 0.951895I
a = 0.047601 + 1.113910I
b = −0.486933 + 1.274640I
−1.63049 − 3.39349I 0
u = 0.773404 − 0.951895I
a = 0.047601 − 1.113910I
b = −0.486933 − 1.274640I
−1.63049 + 3.39349I 0
u = 0.767827 + 0.072447I
a = −1.34612 + 2.54382I
b = −0.057344 + 0.715845I
−8.47392 + 2.03447I 0
u = 0.767827 − 0.072447I
a = −1.34612 − 2.54382I
b = −0.057344 − 0.715845I
−8.47392 − 2.03447I 0
u = 0.188068 + 0.743433I
a = 0.88646 + 1.52424I
b = −0.1264280 − 0.0496629I
1.75098 − 2.18630I 0
u = 0.188068 − 0.743433I
a = 0.88646 − 1.52424I
b = −0.1264280 + 0.0496629I
1.75098 + 2.18630I 0
u = −0.541870 + 0.540544I
a = −0.472306 + 1.135650I
b = 1.10817 + 1.07357I
0.75904 + 3.74035I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.541870 − 0.540544I
a = −0.472306 − 1.135650I
b = 1.10817 − 1.07357I
0.75904 − 3.74035I 0
u = 0.365965 + 1.184860I
a = 0.260225 − 0.322644I
b = −0.362133 + 0.463609I
−2.11886 − 2.54299I 0
u = 0.365965 − 1.184860I
a = 0.260225 + 0.322644I
b = −0.362133 − 0.463609I
−2.11886 + 2.54299I 0
u = 0.736545 + 0.028243I
a = −0.24759 − 2.32222I
b = 0.598845 − 1.104700I
−6.10770 − 5.68822I 0
u = 0.736545 − 0.028243I
a = −0.24759 + 2.32222I
b = 0.598845 + 1.104700I
−6.10770 + 5.68822I 0
u = −0.589953 + 0.434982I
a = −0.38360 − 2.83389I
b = −0.393914 − 0.637502I
−7.12718 + 4.38008I 0
u = −0.589953 − 0.434982I
a = −0.38360 + 2.83389I
b = −0.393914 + 0.637502I
−7.12718 − 4.38008I 0
u = −0.700193 + 0.182108I
a = 0.190511 − 0.899671I
b = 1.40072 − 1.48868I
−2.21526 + 6.66114I 0
u = −0.700193 − 0.182108I
a = 0.190511 + 0.899671I
b = 1.40072 + 1.48868I
−2.21526 − 6.66114I 0
u = 0.646010 + 0.325697I
a = 0.13207 − 2.14184I
b = −0.06678 − 1.46483I
−5.57836 − 6.97331I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.646010 − 0.325697I
a = 0.13207 + 2.14184I
b = −0.06678 + 1.46483I
−5.57836 + 6.97331I 0
u = 0.333997 + 0.629074I
a = 0.650287 − 0.901112I
b = 0.345649 − 0.333798I
−0.78254 − 2.27569I 0
u = 0.333997 − 0.629074I
a = 0.650287 + 0.901112I
b = 0.345649 + 0.333798I
−0.78254 + 2.27569I 0
u = 0.703844 + 0.073631I
a = 0.205034 − 0.765896I
b = 1.47972 − 1.39097I
−3.17000 − 3.06613I 0
u = 0.703844 − 0.073631I
a = 0.205034 + 0.765896I
b = 1.47972 + 1.39097I
−3.17000 + 3.06613I 0
u = −0.722623 + 1.074710I
a = 0.282178 + 0.460448I
b = 1.044830 + 0.618158I
−0.15919 + 5.93228I 0
u = −0.722623 − 1.074710I
a = 0.282178 − 0.460448I
b = 1.044830 − 0.618158I
−0.15919 − 5.93228I 0
u = −1.092520 + 0.701501I
a = −0.055816 − 1.264050I
b = −0.801534 − 1.107380I
−8.84458 + 5.31755I 0
u = −1.092520 − 0.701501I
a = −0.055816 + 1.264050I
b = −0.801534 + 1.107380I
−8.84458 − 5.31755I 0
u = 0.829036 + 1.011460I
a = 0.415868 + 0.210937I
b = 0.498332 + 1.032160I
−5.89659 + 0.25043I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.829036 − 1.011460I
a = 0.415868 − 0.210937I
b = 0.498332 − 1.032160I
−5.89659 − 0.25043I 0
u = −0.633458 + 0.267034I
a = 0.46070 + 1.63703I
b = −0.041535 + 1.152310I
−0.54362 + 3.54968I 0
u = −0.633458 − 0.267034I
a = 0.46070 − 1.63703I
b = −0.041535 − 1.152310I
−0.54362 − 3.54968I 0
u = −0.317546 + 0.598247I
a = 0.190964 − 1.105750I
b = −0.52822 − 1.74252I
−2.20538 − 1.93247I 0
u = −0.317546 − 0.598247I
a = 0.190964 + 1.105750I
b = −0.52822 + 1.74252I
−2.20538 + 1.93247I 0
u = −1.023070 + 0.838473I
a = 0.253000 − 1.276190I
b = −0.883469 − 1.037100I
−8.83556 + 5.62215I 0
u = −1.023070 − 0.838473I
a = 0.253000 + 1.276190I
b = −0.883469 + 1.037100I
−8.83556 − 5.62215I 0
u = 0.560862 + 0.357634I
a = −0.280847 − 1.246230I
b = −1.41761 − 1.08113I
−7.45812 − 3.89762I 0
u = 0.560862 − 0.357634I
a = −0.280847 + 1.246230I
b = −1.41761 + 1.08113I
−7.45812 + 3.89762I 0
u = −1.197770 + 0.604792I
a = 0.391251 + 0.723132I
b = 0.853903 + 0.615187I
0.75793 + 2.05160I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.197770 − 0.604792I
a = 0.391251 − 0.723132I
b = 0.853903 − 0.615187I
0.75793 − 2.05160I 0
u = −0.574343 + 0.229582I
a = −2.32657 + 0.55692I
b = 0.542486 + 0.509515I
−3.34420 + 5.23806I 0
u = −0.574343 − 0.229582I
a = −2.32657 − 0.55692I
b = 0.542486 − 0.509515I
−3.34420 − 5.23806I 0
u = 1.375360 + 0.146101I
a = 0.395774 + 0.354106I
b = −0.057981 + 0.614935I
−2.65060 + 1.09946I 0
u = 1.375360 − 0.146101I
a = 0.395774 − 0.354106I
b = −0.057981 − 0.614935I
−2.65060 − 1.09946I 0
u = −0.529520 + 0.301878I
a = 0.214856 − 0.714137I
b = 1.97190 − 0.67577I
−6.63453 + 4.54438I 0
u = −0.529520 − 0.301878I
a = 0.214856 + 0.714137I
b = 1.97190 + 0.67577I
−6.63453 − 4.54438I 0
u = 0.823843 + 1.125710I
a = −0.639757 − 0.415955I
b = 0.123013 − 0.542942I
−1.74111 − 3.17086I 0
u = 0.823843 − 1.125710I
a = −0.639757 + 0.415955I
b = 0.123013 + 0.542942I
−1.74111 + 3.17086I 0
u = −0.586393 + 0.065879I
a = 0.010605 + 1.251070I
b = −1.29602 + 1.33972I
−4.03698 + 2.14832I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.586393 − 0.065879I
a = 0.010605 − 1.251070I
b = −1.29602 − 1.33972I
−4.03698 − 2.14832I 0
u = 1.13010 + 0.85367I
a = 0.037440 + 1.154100I
b = −0.592247 + 0.824467I
−1.75180 − 4.93998I 0
u = 1.13010 − 0.85367I
a = 0.037440 − 1.154100I
b = −0.592247 − 0.824467I
−1.75180 + 4.93998I 0
u = −0.566804 + 0.056222I
a = 0.754777 + 0.077174I
b = −1.25330 − 0.67913I
−4.43889 − 4.10177I 0
u = −0.566804 − 0.056222I
a = 0.754777 − 0.077174I
b = −1.25330 + 0.67913I
−4.43889 + 4.10177I 0
u = −0.548026 + 0.001910I
a = −2.32494 + 2.48370I
b = 0.044142 + 0.734919I
−3.98743 + 2.05565I 0
u = −0.548026 − 0.001910I
a = −2.32494 − 2.48370I
b = 0.044142 − 0.734919I
−3.98743 − 2.05565I 0
u = 1.06556 + 0.99497I
a = 0.257162 + 0.659827I
b = −0.656363 + 0.621881I
−1.56739 − 3.79423I 0
u = 1.06556 − 0.99497I
a = 0.257162 − 0.659827I
b = −0.656363 − 0.621881I
−1.56739 + 3.79423I 0
u = 0.538583 + 0.059880I
a = 4.05215 + 2.88808I
b = −0.086024 + 0.541607I
−6.82612 − 11.68990I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.538583 − 0.059880I
a = 4.05215 − 2.88808I
b = −0.086024 − 0.541607I
−6.82612 + 11.68990I 0
u = −1.12983 + 0.92810I
a = 0.198612 − 1.242180I
b = −0.605383 − 0.783628I
−3.44318 + 5.66140I 0
u = −1.12983 − 0.92810I
a = 0.198612 + 1.242180I
b = −0.605383 + 0.783628I
−3.44318 − 5.66140I 0
u = 1.26931 + 0.73158I
a = −0.142091 + 1.039720I
b = −1.10571 + 1.13602I
−8.44189 − 10.86170I 0
u = 1.26931 − 0.73158I
a = −0.142091 − 1.039720I
b = −1.10571 − 1.13602I
−8.44189 + 10.86170I 0
u = −0.518564 + 0.129065I
a = 0.05461 − 1.59937I
b = −1.56190 − 1.07928I
−6.76697 + 2.43665I 0
u = −0.518564 − 0.129065I
a = 0.05461 + 1.59937I
b = −1.56190 + 1.07928I
−6.76697 − 2.43665I 0
u = −1.16012 + 0.91372I
a = −0.055940 − 1.060570I
b = −1.03606 − 1.15945I
−4.51565 + 10.82510I 0
u = −1.16012 − 0.91372I
a = −0.055940 + 1.060570I
b = −1.03606 + 1.15945I
−4.51565 − 10.82510I 0
u = 0.500100 + 0.149590I
a = −2.19710 + 2.89769I
b = 0.174959 + 0.859949I
−7.01049 + 2.31687I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500100 − 0.149590I
a = −2.19710 − 2.89769I
b = 0.174959 − 0.859949I
−7.01049 − 2.31687I 0
u = 1.04560 + 1.04993I
a = −0.309761 − 0.955612I
b = 1.21210 − 1.19231I
−5.84212 − 7.46727I 0
u = 1.04560 − 1.04993I
a = −0.309761 + 0.955612I
b = 1.21210 + 1.19231I
−5.84212 + 7.46727I 0
u = −0.93577 + 1.15597I
a = 0.168712 + 0.945813I
b = 0.699593 + 0.915387I
−1.13442 + 2.29062I 0
u = −0.93577 − 1.15597I
a = 0.168712 − 0.945813I
b = 0.699593 − 0.915387I
−1.13442 − 2.29062I 0
u = −0.398027 + 0.306358I
a = 3.98513 + 0.85317I
b = −0.229273 − 0.470217I
−0.84326 + 6.93966I 0
u = −0.398027 − 0.306358I
a = 3.98513 − 0.85317I
b = −0.229273 + 0.470217I
−0.84326 − 6.93966I 0
u = 1.13774 + 0.99949I
a = −0.118410 − 0.904582I
b = 0.89452 − 1.26055I
−4.68296 − 5.92920I 0
u = 1.13774 − 0.99949I
a = −0.118410 + 0.904582I
b = 0.89452 + 1.26055I
−4.68296 + 5.92920I 0
u = −1.19725 + 0.95611I
a = −0.216813 + 0.909013I
b = 0.92845 + 1.15620I
−9.67267 − 0.23355I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.19725 − 0.95611I
a = −0.216813 − 0.909013I
b = 0.92845 − 1.15620I
−9.67267 + 0.23355I 0
u = −1.39560 + 0.66051I
a = 0.185705 + 0.452358I
b = −0.202674 + 0.565931I
−3.43225 + 1.96005I 0
u = −1.39560 − 0.66051I
a = 0.185705 − 0.452358I
b = −0.202674 − 0.565931I
−3.43225 − 1.96005I 0
u = −1.13932 + 1.04360I
a = −0.083100 + 1.024760I
b = 1.07419 + 1.19261I
−2.6474 + 15.7939I 0
u = −1.13932 − 1.04360I
a = −0.083100 − 1.024760I
b = 1.07419 − 1.19261I
−2.6474 − 15.7939I 0
u = −1.53150 + 0.22900I
a = −0.562485 + 0.697175I
b = −0.292303 + 0.608305I
−4.74207 − 6.97341I 0
u = −1.53150 − 0.22900I
a = −0.562485 − 0.697175I
b = −0.292303 − 0.608305I
−4.74207 + 6.97341I 0
u = 1.14495 + 1.06021I
a = 0.164366 + 0.945061I
b = −1.03096 + 1.06770I
−2.25531 − 8.49508I 0
u = 1.14495 − 1.06021I
a = 0.164366 − 0.945061I
b = −1.03096 − 1.06770I
−2.25531 + 8.49508I 0
u = 1.18315 + 1.01750I
a = −0.032214 + 1.114430I
b = −0.98356 + 1.16040I
−8.4248 − 12.2045I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.18315 − 1.01750I
a = −0.032214 − 1.114430I
b = −0.98356 − 1.16040I
−8.4248 + 12.2045I 0
u = 1.19909 + 1.05418I
a = −0.036895 − 1.059110I
b = 1.06485 − 1.17719I
−8.0218 − 21.8174I 0
u = 1.19909 − 1.05418I
a = −0.036895 + 1.059110I
b = 1.06485 + 1.17719I
−8.0218 + 21.8174I 0
u = −1.17961 + 1.08563I
a = −0.092356 + 0.981033I
b = 0.79967 + 1.19799I
−9.3698 + 12.4453I 0
u = −1.17961 − 1.08563I
a = −0.092356 − 0.981033I
b = 0.79967 − 1.19799I
−9.3698 − 12.4453I 0
u = −0.373570 + 0.064315I
a = 1.68104 + 1.74560I
b = 0.665488 + 0.375857I
1.17548 + 1.25393I 0
u = −0.373570 − 0.064315I
a = 1.68104 − 1.74560I
b = 0.665488 − 0.375857I
1.17548 − 1.25393I 0
u = −0.73930 + 1.44446I
a = −0.339528 + 0.298857I
b = −0.351317 + 0.720109I
−7.24462 + 1.36294I 0
u = −0.73930 − 1.44446I
a = −0.339528 − 0.298857I
b = −0.351317 − 0.720109I
−7.24462 − 1.36294I 0
u = 0.188384 + 0.324873I
a = −1.04888 + 2.79155I
b = 0.618067 − 0.059583I
1.43272 − 1.51882I 5.54313 + 8.48562I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.188384 − 0.324873I
a = −1.04888 − 2.79155I
b = 0.618067 + 0.059583I
1.43272 + 1.51882I 5.54313 − 8.48562I
u = −0.331610 + 0.157329I
a = −2.23641 + 1.93706I
b = 0.876545 + 0.512842I
0.43039 + 3.01839I 0. − 4.68806I
u = −0.331610 − 0.157329I
a = −2.23641 − 1.93706I
b = 0.876545 − 0.512842I
0.43039 − 3.01839I 0. + 4.68806I
u = 1.61554 + 0.27473I
a = 0.559733 − 0.380923I
b = 0.971206 − 0.299453I
−2.96222 + 0.08886I 0
u = 1.61554 − 0.27473I
a = 0.559733 + 0.380923I
b = 0.971206 + 0.299453I
−2.96222 − 0.08886I 0
u = −1.27707 + 1.05093I
a = 0.007884 − 0.895008I
b = −1.03793 − 1.09619I
−4.52240 + 12.89090I 0
u = −1.27707 − 1.05093I
a = 0.007884 + 0.895008I
b = −1.03793 + 1.09619I
−4.52240 − 12.89090I 0
u = −1.31921 + 1.00977I
a = −0.147434 − 0.639660I
b = −0.830673 − 0.610795I
2.01965 + 8.20954I 0
u = −1.31921 − 1.00977I
a = −0.147434 + 0.639660I
b = −0.830673 + 0.610795I
2.01965 − 8.20954I 0
u = 1.20961 + 1.16835I
a = 0.274011 + 0.368219I
b = −0.169671 + 0.939571I
−4.20337 − 2.40352I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.20961 − 1.16835I
a = 0.274011 − 0.368219I
b = −0.169671 − 0.939571I
−4.20337 + 2.40352I 0
u = 1.41619 + 0.92797I
a = −0.312933 + 0.677154I
b = −0.939297 + 0.623570I
−2.52443 − 12.71120I 0
u = 1.41619 − 0.92797I
a = −0.312933 − 0.677154I
b = −0.939297 − 0.623570I
−2.52443 + 12.71120I 0
u = 1.25220 + 1.14355I
a = 0.016359 − 0.835331I
b = 0.478208 − 0.824121I
−0.51360 − 4.17016I 0
u = 1.25220 − 1.14355I
a = 0.016359 + 0.835331I
b = 0.478208 + 0.824121I
−0.51360 + 4.17016I 0
u = −1.17873 + 1.29748I
a = 0.214421 − 0.406084I
b = −0.056110 − 0.988114I
−8.69903 + 8.71433I 0
u = −1.17873 − 1.29748I
a = 0.214421 + 0.406084I
b = −0.056110 + 0.988114I
−8.69903 − 8.71433I 0
u = −1.40344 + 1.10714I
a = 0.304151 − 0.475792I
b = −0.078916 − 0.805177I
−9.35234 − 3.49399I 0
u = −1.40344 − 1.10714I
a = 0.304151 + 0.475792I
b = −0.078916 + 0.805177I
−9.35234 + 3.49399I 0
u = 1.42137 + 1.09005I
a = −0.133436 − 0.323705I
b = −0.091125 − 0.804362I
−2.17560 − 0.19236I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.42137 − 1.09005I
a = −0.133436 + 0.323705I
b = −0.091125 + 0.804362I
−2.17560 + 0.19236I 0
u = −1.26783 + 1.26617I
a = 0.338133 − 0.196943I
b = 0.271329 − 0.771699I
−2.28874 − 7.28712I 0
u = −1.26783 − 1.26617I
a = 0.338133 + 0.196943I
b = 0.271329 + 0.771699I
−2.28874 + 7.28712I 0
u = 0.089025 + 0.186720I
a = 0.38804 + 8.07352I
b = −0.630029 + 0.546201I
−2.81537 − 7.38828I −0.49583 + 8.88310I
u = 0.089025 − 0.186720I
a = 0.38804 − 8.07352I
b = −0.630029 − 0.546201I
−2.81537 + 7.38828I −0.49583 − 8.88310I
u = 0.189077 + 0.004040I
a = 5.20169 + 4.95565I
b = −0.872048 − 0.186724I
0.02024 + 2.52473I 1.17278 − 1.87917I
u = 0.189077 − 0.004040I
a = 5.20169 − 4.95565I
b = −0.872048 + 0.186724I
0.02024 − 2.52473I 1.17278 + 1.87917I
u = 0.0828242 + 0.0110934I
a = 10.99530 − 3.78336I
b = −0.044189 + 1.154030I
−4.35510 − 0.00211I −8.47971 − 0.31988I
u = 0.0828242 − 0.0110934I
a = 10.99530 + 3.78336I
b = −0.044189 − 1.154030I
−4.35510 + 0.00211I −8.47971 + 0.31988I
u = 1.26940 + 1.45138I
a = −0.395386 − 0.207203I
b = −0.284779 − 0.546310I
−7.60576 + 3.48701I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.26940 − 1.45138I
a = −0.395386 + 0.207203I
b = −0.284779 + 0.546310I
−7.60576 − 3.48701I 0
u = 1.31062 + 1.48683I
a = 0.335878 + 0.179732I
b = 0.325691 + 0.686171I
−7.3210 + 12.8460I 0
u = 1.31062 − 1.48683I
a = 0.335878 − 0.179732I
b = 0.325691 − 0.686171I
−7.3210 − 12.8460I 0
u = −0.94716 + 1.92859I
a = −0.200746 + 0.031181I
b = −0.197589 + 0.461371I
−2.70283 − 2.72163I 0
u = −0.94716 − 1.92859I
a = −0.200746 − 0.031181I
b = −0.197589 − 0.461371I
−2.70283 + 2.72163I 0
u = −2.97699 + 0.71796I
a = 0.110095 + 0.109860I
b = 0.364276 + 0.338586I
−3.37854 − 2.44402I 0
u = −2.97699 − 0.71796I
a = 0.110095 − 0.109860I
b = 0.364276 − 0.338586I
−3.37854 + 2.44402I 0
u = −3.08605 + 1.91338I
a = 0.0302096 + 0.0602211I
b = −0.238205 + 0.059134I
−3.50958 + 2.17774I 0
u = −3.08605 − 1.91338I
a = 0.0302096 − 0.0602211I
b = −0.238205 − 0.059134I
−3.50958 − 2.17774I 0
24
II. I
u
2
= h6.57 × 10
107
u
47
+ 2.95 × 10
108
u
46
+ · · · + 2.62 × 10
107
b + 7.34 ×
10
107
, 2.24 × 10
108
u
47
+ 1.02 × 10
109
u
46
+ · · · + 2.62 × 10
107
a + 5.17 ×
10
108
, u
48
+ 5u
47
+ · · · + u + 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
3
=
−8.55496u
47
− 38.8742u
46
+ ··· + 18.9021u − 19.7473
−2.51068u
47
− 11.2678u
46
+ ··· − 1.71292u − 2.80504
a
7
=
1
u
2
a
4
=
−8.01225u
47
− 36.6074u
46
+ ··· + 25.2694u − 20.8429
−2.05965u
47
− 9.25889u
46
+ ··· − 1.80891u − 2.35832
a
11
=
−4.94288u
47
− 21.8766u
46
+ ··· + 9.37981u − 7.26149
4.96483u
47
+ 22.7433u
46
+ ··· − 14.7101u + 10.7515
a
2
=
−6.04428u
47
− 27.6064u
46
+ ··· + 20.6150u − 16.9423
−2.51068u
47
− 11.2678u
46
+ ··· − 1.71292u − 2.80504
a
1
=
11.3622u
47
+ 51.7182u
46
+ ··· − 26.5973u + 23.3987
−5.66757u
47
− 25.9601u
46
+ ··· + 13.9293u − 11.6611
a
5
=
8.04141u
47
+ 37.0293u
46
+ ··· − 19.3845u + 17.3790
2.60719u
47
+ 11.5090u
46
+ ··· − 4.18449u + 4.62988
a
9
=
−13.2513u
47
− 60.2886u
46
+ ··· + 38.3301u − 26.3350
3.34357u
47
+ 15.6687u
46
+ ··· − 12.2401u + 8.32195
a
12
=
2.33481u
47
+ 13.3744u
46
+ ··· − 39.2881u + 10.9979
7.35824u
47
+ 32.4555u
46
+ ··· − 10.3499u + 14.2366
a
8
=
−19.7887u
47
− 91.3587u
46
+ ··· + 63.0740u − 44.5314
3.74782u
47
+ 17.8545u
46
+ ··· − 15.1475u + 9.58291
(ii) Obstruction class = 1
(iii) Cusp Shapes = 10.0581u
47
+ 46.4043u
46
+ ··· − 19.1110u + 8.00027
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
48
− 9u
47
+ ··· − 148u + 13
c
2
u
48
+ u
47
+ ··· + 9u + 1
c
3
u
48
− 13u
46
+ ··· − 839u + 167
c
4
u
48
− 2u
47
+ ··· − 3u + 1
c
5
u
48
+ 6u
47
+ ··· − 691u + 107
c
6
u
48
+ 5u
47
+ ··· + u + 1
c
7
u
48
+ 22u
46
+ ··· − 2u + 1
c
8
u
48
− 3u
47
+ ··· − 3u + 1
c
9
u
48
+ 9u
46
+ ··· + 9u + 19
c
10
u
48
− u
47
+ ··· − 11u + 1
c
11
u
48
+ 11u
47
+ ··· − 9u + 1
c
12
u
48
+ 22u
46
+ ··· + 2u + 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
48
− 7y
47
+ ··· − 1182y + 169
c
2
y
48
+ 7y
47
+ ··· − 5y + 1
c
3
y
48
− 26y
47
+ ··· − 375265y + 27889
c
4
y
48
+ 66y
46
+ ··· − 11y + 1
c
5
y
48
− 14y
47
+ ··· + 63511y + 11449
c
6
y
48
− 39y
47
+ ··· − 19y + 1
c
7
, c
12
y
48
+ 44y
47
+ ··· + 8y + 1
c
8
y
48
− 13y
47
+ ··· + 9y + 1
c
9
y
48
+ 18y
47
+ ··· + 4137y + 361
c
10
y
48
+ 31y
47
+ ··· + 7y + 1
c
11
y
48
+ 17y
47
+ ··· − 31y + 1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.323313 + 0.989973I
a = 1.52900 + 0.86471I
b = −0.988508 + 0.236721I
0.65328 − 4.23580I −2.72261 + 6.75924I
u = 0.323313 − 0.989973I
a = 1.52900 − 0.86471I
b = −0.988508 − 0.236721I
0.65328 + 4.23580I −2.72261 − 6.75924I
u = −0.942244 + 0.027714I
a = −0.41555 + 1.61877I
b = 0.196945 + 0.984597I
−7.10514 + 5.05893I −13.2952 − 5.2504I
u = −0.942244 − 0.027714I
a = −0.41555 − 1.61877I
b = 0.196945 − 0.984597I
−7.10514 − 5.05893I −13.2952 + 5.2504I
u = 0.698711 + 0.581088I
a = −0.19127 − 1.42820I
b = 0.95270 − 1.13711I
0.89104 − 4.37097I −8.0911 + 15.8729I
u = 0.698711 − 0.581088I
a = −0.19127 + 1.42820I
b = 0.95270 + 1.13711I
0.89104 + 4.37097I −8.0911 − 15.8729I
u = 0.284428 + 0.839495I
a = −1.59869 − 0.85484I
b = 0.832646 − 0.392842I
1.85426 − 3.44721I 6.49243 + 5.23215I
u = 0.284428 − 0.839495I
a = −1.59869 + 0.85484I
b = 0.832646 + 0.392842I
1.85426 + 3.44721I 6.49243 − 5.23215I
u = −0.458317 + 0.743648I
a = −0.227011 + 0.436529I
b = 1.219200 + 0.659650I
1.73270 + 3.60708I 0.56592 − 4.52918I
u = −0.458317 − 0.743648I
a = −0.227011 − 0.436529I
b = 1.219200 − 0.659650I
1.73270 − 3.60708I 0.56592 + 4.52918I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.836304 + 0.229387I
a = −0.587111 − 0.776985I
b = −0.94586 − 1.31735I
−6.44600 + 1.35927I −9.28290 + 7.79677I
u = 0.836304 − 0.229387I
a = −0.587111 + 0.776985I
b = −0.94586 + 1.31735I
−6.44600 − 1.35927I −9.28290 − 7.79677I
u = 0.381585 + 0.750870I
a = −1.067870 − 0.404368I
b = −0.676066 + 0.093119I
−7.07800 + 2.68697I −9.85312 − 2.76114I
u = 0.381585 − 0.750870I
a = −1.067870 + 0.404368I
b = −0.676066 − 0.093119I
−7.07800 − 2.68697I −9.85312 + 2.76114I
u = 0.371126 + 0.676560I
a = −0.907521 − 0.141228I
b = −0.090093 − 0.862031I
−2.88177 − 2.17171I −7.98882 + 3.07416I
u = 0.371126 − 0.676560I
a = −0.907521 + 0.141228I
b = −0.090093 + 0.862031I
−2.88177 + 2.17171I −7.98882 − 3.07416I
u = −0.613647 + 0.419320I
a = −0.20148 + 2.40562I
b = 0.300703 + 1.282690I
−5.19004 + 6.90608I 1.86956 − 11.58644I
u = −0.613647 − 0.419320I
a = −0.20148 − 2.40562I
b = 0.300703 − 1.282690I
−5.19004 − 6.90608I 1.86956 + 11.58644I
u = 0.675440 + 1.077080I
a = −0.179436 − 0.592000I
b = 0.725986 − 0.647457I
−0.27210 − 4.10719I 0
u = 0.675440 − 1.077080I
a = −0.179436 + 0.592000I
b = 0.725986 + 0.647457I
−0.27210 + 4.10719I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.043250 + 0.781150I
a = 0.509607 + 0.927605I
b = 1.018740 + 0.860179I
−2.05360 + 2.11142I 0
u = −1.043250 − 0.781150I
a = 0.509607 − 0.927605I
b = 1.018740 − 0.860179I
−2.05360 − 2.11142I 0
u = −1.284530 + 0.239480I
a = −0.399986 − 1.204350I
b = −0.435109 − 0.561417I
−4.21558 + 6.94790I 0
u = −1.284530 − 0.239480I
a = −0.399986 + 1.204350I
b = −0.435109 + 0.561417I
−4.21558 − 6.94790I 0
u = −0.669762 + 0.093142I
a = 0.163525 + 0.752714I
b = −1.48640 + 1.10968I
−4.81680 + 4.38217I −18.6364 − 7.3757I
u = −0.669762 − 0.093142I
a = 0.163525 − 0.752714I
b = −1.48640 − 1.10968I
−4.81680 − 4.38217I −18.6364 + 7.3757I
u = 1.302450 + 0.398915I
a = 0.087086 − 0.479726I
b = −0.278274 − 0.910565I
−1.54665 − 1.19900I 0
u = 1.302450 − 0.398915I
a = 0.087086 + 0.479726I
b = −0.278274 + 0.910565I
−1.54665 + 1.19900I 0
u = 0.921996 + 1.030680I
a = 0.064361 − 0.951015I
b = 0.516939 − 0.902340I
−0.33650 − 3.55680I 0
u = 0.921996 − 1.030680I
a = 0.064361 + 0.951015I
b = 0.516939 + 0.902340I
−0.33650 + 3.55680I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.402196 + 0.391189I
a = 0.53179 + 2.69024I
b = 0.313342 − 0.390046I
−6.32714 + 11.48380I −3.80151 − 6.75688I
u = 0.402196 − 0.391189I
a = 0.53179 − 2.69024I
b = 0.313342 + 0.390046I
−6.32714 − 11.48380I −3.80151 + 6.75688I
u = 1.03238 + 1.01701I
a = 0.295513 + 0.998318I
b = −1.18186 + 1.17458I
−5.76113 − 7.41097I 0
u = 1.03238 − 1.01701I
a = 0.295513 − 0.998318I
b = −1.18186 − 1.17458I
−5.76113 + 7.41097I 0
u = −0.458599 + 0.197952I
a = −1.72505 − 1.33299I
b = 0.145824 + 0.735250I
−0.85759 − 6.28048I −3.35947 + 5.36145I
u = −0.458599 − 0.197952I
a = −1.72505 + 1.33299I
b = 0.145824 − 0.735250I
−0.85759 + 6.28048I −3.35947 − 5.36145I
u = −0.456476 + 0.048563I
a = −0.55231 − 1.94899I
b = 1.330640 − 0.183402I
−6.60557 − 3.78084I −10.02784 + 2.92978I
u = −0.456476 − 0.048563I
a = −0.55231 + 1.94899I
b = 1.330640 + 0.183402I
−6.60557 + 3.78084I −10.02784 − 2.92978I
u = 1.22043 + 0.95923I
a = 0.088758 + 1.108040I
b = −0.540184 + 0.852891I
−1.34081 − 5.21735I 0
u = 1.22043 − 0.95923I
a = 0.088758 − 1.108040I
b = −0.540184 − 0.852891I
−1.34081 + 5.21735I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.24489 + 0.96823I
a = −0.097442 − 0.925954I
b = −0.99555 − 1.13135I
−5.80176 + 12.59480I 0
u = −1.24489 − 0.96823I
a = −0.097442 + 0.925954I
b = −0.99555 + 1.13135I
−5.80176 − 12.59480I 0
u = 0.242257 + 0.240946I
a = −1.40833 + 0.25957I
b = 0.21891 − 1.54026I
−2.72183 − 2.30866I −9.26131 + 2.47203I
u = 0.242257 − 0.240946I
a = −1.40833 − 0.25957I
b = 0.21891 + 1.54026I
−2.72183 + 2.30866I −9.26131 − 2.47203I
u = 0.33508 + 1.79441I
a = −0.278877 + 0.012260I
b = 0.070595 − 0.424345I
−2.70806 − 2.30035I 0
u = 0.33508 − 1.79441I
a = −0.278877 − 0.012260I
b = 0.070595 + 0.424345I
−2.70806 + 2.30035I 0
u = −4.35598 + 0.63492I
a = 0.0682886 + 0.0116737I
b = 0.274736 − 0.068638I
−3.44230 + 2.20683I 0
u = −4.35598 − 0.63492I
a = 0.0682886 − 0.0116737I
b = 0.274736 + 0.068638I
−3.44230 − 2.20683I 0
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
48
− 9u
47
+ ··· − 148u + 13)
· (u
199
+ 12u
198
+ ··· − 55449899u + 2028184)
c
2
(u
48
+ u
47
+ ··· + 9u + 1)(u
199
− 2u
198
+ ··· + 47u + 1)
c
3
(u
48
− 13u
46
+ ··· − 839u + 167)
· (u
199
+ u
198
+ ··· + 1717896531745u + 8566907748177)
c
4
(u
48
− 2u
47
+ ··· − 3u + 1)(u
199
− u
198
+ ··· − 51u + 31)
c
5
(u
48
+ 6u
47
+ ··· − 691u + 107)
· (u
199
− 9u
198
+ ··· + 50548405469343u + 2906312135033)
c
6
(u
48
+ 5u
47
+ ··· + u + 1)(u
199
− 4u
198
+ ··· + 109u + 4)
c
7
(u
48
+ 22u
46
+ ··· − 2u + 1)(u
199
− u
198
+ ··· + 106056u + 2767)
c
8
(u
48
− 3u
47
+ ··· − 3u + 1)
· (u
199
− 2u
198
+ ··· + 45150805u + 2117682)
c
9
(u
48
+ 9u
46
+ ··· + 9u + 19)
· (u
199
− u
198
+ ··· − 1706345869u + 1142423049)
c
10
(u
48
− u
47
+ ··· − 11u + 1)(u
199
+ 4u
198
+ ··· + 656177u + 80681)
c
11
(u
48
+ 11u
47
+ ··· − 9u + 1)(u
199
+ 6u
198
+ ··· − 37u + 1)
c
12
(u
48
+ 22u
46
+ ··· + 2u + 1)(u
199
− u
198
+ ··· + 106056u + 2767)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
48
− 7y
47
+ ··· − 1182y + 169)
· (y
199
− 40y
198
+ ··· + 781027898879017y −4113530337856)
c
2
(y
48
+ 7y
47
+ ··· − 5y + 1)(y
199
+ 26y
198
+ ··· + 177y −1)
c
3
(y
48
− 26y
47
+ ··· − 375265y + 27889)
· (y
199
− 111y
198
+ ··· + 4.99 × 10
27
y −7.34 × 10
25
)
c
4
(y
48
+ 66y
46
+ ··· − 11y + 1)(y
199
− 13y
198
+ ··· − 53013y −961)
c
5
(y
48
− 14y
47
+ ··· + 63511y + 11449)
· (y
199
+ 65y
198
+ ··· − 5.44 × 10
26
y −8.45 × 10
24
)
c
6
(y
48
− 39y
47
+ ··· − 19y + 1)(y
199
− 60y
198
+ ··· + 6265y −16)
c
7
, c
12
(y
48
+ 44y
47
+ ··· + 8y + 1)
· (y
199
+ 159y
198
+ ··· + 230721528y −7656289)
c
8
(y
48
− 13y
47
+ ··· + 9y + 1)
· (y
199
− 58y
198
+ ··· + 4291591582916281y −4484577053124)
c
9
(y
48
+ 18y
47
+ ··· + 4137y + 361)
· (y
199
− 31y
198
+ ··· + 8.52 × 10
19
y −1.31 × 10
18
)
c
10
(y
48
+ 31y
47
+ ··· + 7y + 1)
· (y
199
+ 62y
198
+ ··· − 432375389059y −6509423761)
c
11
(y
48
+ 17y
47
+ ··· − 31y + 1)(y
199
+ 16y
198
+ ··· − 385y −1)
36
