12a
0383
(K12a
0383
)
A knot diagram
1
Linearized knot diagam
3 6 9 10 7 2 12 1 11 5 4 8
Solving Sequence
4,10
5 11
8,12
1 7 6 9 3 2
c
4
c
10
c
11
c
12
c
7
c
5
c
9
c
3
c
2
c
1
, c
6
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h5.33267 × 10
48
u
94
− 1.54204 × 10
49
u
93
+ ··· + 2.05960 × 10
49
b − 5.95868 × 10
49
,
3.22494 × 10
49
u
94
− 8.97885 × 10
49
u
93
+ ··· + 2.05960 × 10
49
a − 1.16528 × 10
50
, u
95
− u
94
+ ··· + 4u − 4i
I
u
2
= h−u
2
a + u
3
+ 2b − u, −2u
3
a − 2u
2
a + 2a
2
− 3u
2
+ 4a − 2u + 2, u
4
− 2u
2
+ 2i
I
v
1
= ha, b + v −1, v
2
− v + 1i
* 3 irreducible components of dim
C
= 0, with total 105 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
= h5.33 × 10
48
u
94
− 1.54 × 10
49
u
93
+ · · · + 2.06 × 10
49
b − 5.96 × 10
49
, 3.22 ×
10
49
u
94
−8.98×10
49
u
93
+· · ·+2.06×10
49
a−1.17×10
50
, u
95
−u
94
+· · ·+4u−4i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
5
=
1
u
2
a
11
=
−u
−u
3
+ u
a
8
=
−1.56581u
94
+ 4.35950u
93
+ ··· − 9.90902u + 5.65780
−0.258917u
94
+ 0.748705u
93
+ ··· − 2.82171u + 2.89312
a
12
=
−u
3
−u
3
+ u
a
1
=
1.56581u
94
− 4.35950u
93
+ ··· + 9.90902u − 5.65780
1.44889u
94
− 3.28930u
93
+ ··· + 14.6163u − 8.28166
a
7
=
−0.889379u
94
+ 2.45028u
93
+ ··· − 3.06760u + 0.899810
−0.103345u
94
+ 0.549833u
93
+ ··· + 1.95019u − 0.333613
a
6
=
2.23950u
94
− 4.57433u
93
+ ··· + 17.7650u − 8.24809
−0.0601778u
94
+ 0.125437u
93
+ ··· + 7.37150u − 3.67966
a
9
=
u
3
u
5
− u
3
+ u
a
3
=
u
8
− u
6
+ u
4
+ 1
u
10
− 2u
8
+ 3u
6
− 2u
4
+ u
2
a
2
=
0.848568u
94
− 2.62471u
93
+ ··· − 1.58235u + 0.136500
1.77604u
94
− 3.58781u
93
+ ··· + 13.9026u − 7.98027
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.840232u
94
+ 2.50685u
93
+ ··· − 10.3269u + 17.5066
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
95
+ 30u
94
+ ··· − 34u − 25
c
2
, c
6
u
95
− 2u
94
+ ··· + 4u + 5
c
3
u
95
+ u
94
+ ··· − 82980u − 39988
c
4
, c
10
u
95
− u
94
+ ··· + 4u − 4
c
7
, c
8
, c
12
u
95
− 3u
94
+ ··· − 21u − 1
c
9
u
95
+ 45u
94
+ ··· + 80u + 16
c
11
u
95
− 3u
94
+ ··· + 3028u + 44
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
95
+ 78y
94
+ ··· + 72906y −625
c
2
, c
6
y
95
+ 30y
94
+ ··· − 34y −25
c
3
y
95
− 45y
94
+ ··· − 7805590896y −1599040144
c
4
, c
10
y
95
− 45y
94
+ ··· + 80y −16
c
7
, c
8
, c
12
y
95
− 95y
94
+ ··· + 7y −1
c
9
y
95
+ 15y
94
+ ··· − 1792y −256
c
11
y
95
+ 15y
94
+ ··· + 8655568y −1936
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00736
a = −3.08178
b = −1.34759
2.55128 0
u = 0.906317 + 0.441368I
a = 0.010348 + 0.509452I
b = −0.555426 − 0.799270I
1.64328 − 4.28747I 0
u = 0.906317 − 0.441368I
a = 0.010348 − 0.509452I
b = −0.555426 + 0.799270I
1.64328 + 4.28747I 0
u = −0.924960 + 0.357461I
a = 3.42367 − 1.34161I
b = 0.64189 − 1.65711I
0.71162 + 3.57000I 0
u = −0.924960 − 0.357461I
a = 3.42367 + 1.34161I
b = 0.64189 + 1.65711I
0.71162 − 3.57000I 0
u = 0.634715 + 0.755350I
a = −0.338265 + 0.155743I
b = −2.09428 − 0.75954I
12.0289 − 8.1472I 0
u = 0.634715 − 0.755350I
a = −0.338265 − 0.155743I
b = −2.09428 + 0.75954I
12.0289 + 8.1472I 0
u = −1.010690 + 0.149709I
a = −0.690553 + 0.017344I
b = −0.652018 + 0.557209I
−0.044130 + 0.757058I 0
u = −1.010690 − 0.149709I
a = −0.690553 − 0.017344I
b = −0.652018 − 0.557209I
−0.044130 − 0.757058I 0
u = −0.606918 + 0.766435I
a = 0.336205 + 0.129569I
b = 2.16957 − 0.72542I
12.72790 + 1.81622I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.606918 − 0.766435I
a = 0.336205 − 0.129569I
b = 2.16957 + 0.72542I
12.72790 − 1.81622I 0
u = −0.887368 + 0.329507I
a = −0.140385 + 0.401837I
b = 0.065765 − 1.021190I
0.884083 − 0.672783I 0
u = −0.887368 − 0.329507I
a = −0.140385 − 0.401837I
b = 0.065765 + 1.021190I
0.884083 + 0.672783I 0
u = −1.006420 + 0.394031I
a = −0.708247 + 0.660629I
b = −0.288734 + 0.665580I
−1.66102 + 1.68609I 0
u = −1.006420 − 0.394031I
a = −0.708247 − 0.660629I
b = −0.288734 − 0.665580I
−1.66102 − 1.68609I 0
u = −0.397656 + 0.826000I
a = 0.298214 − 0.035388I
b = 2.52801 − 0.23592I
11.54030 − 5.00777I 9.51836 + 0.I
u = −0.397656 − 0.826000I
a = 0.298214 + 0.035388I
b = 2.52801 + 0.23592I
11.54030 + 5.00777I 9.51836 + 0.I
u = −1.066830 + 0.202202I
a = 3.41852 + 0.12892I
b = 1.71327 − 0.62864I
−1.00370 − 2.82785I 0
u = −1.066830 − 0.202202I
a = 3.41852 − 0.12892I
b = 1.71327 + 0.62864I
−1.00370 + 2.82785I 0
u = 0.374259 + 0.830094I
a = −0.291796 − 0.051261I
b = −2.53758 − 0.16345I
10.5514 + 11.2514I 8.02405 − 5.87365I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.374259 − 0.830094I
a = −0.291796 + 0.051261I
b = −2.53758 + 0.16345I
10.5514 − 11.2514I 8.02405 + 5.87365I
u = 1.083220 + 0.170356I
a = 0.843048 − 0.029442I
b = 0.691071 + 0.592578I
−0.67601 + 4.68464I 0
u = 1.083220 − 0.170356I
a = 0.843048 + 0.029442I
b = 0.691071 − 0.592578I
−0.67601 − 4.68464I 0
u = −0.473838 + 0.746948I
a = 0.275238 + 0.041417I
b = 2.59227 − 0.60856I
7.63537 − 1.35628I 10.70410 + 0.43713I
u = −0.473838 − 0.746948I
a = 0.275238 − 0.041417I
b = 2.59227 + 0.60856I
7.63537 + 1.35628I 10.70410 − 0.43713I
u = −0.538924 + 0.699491I
a = 0.044940 + 0.780648I
b = −0.237329 + 0.267193I
4.81550 + 4.38791I 7.51480 − 5.64431I
u = −0.538924 − 0.699491I
a = 0.044940 − 0.780648I
b = −0.237329 − 0.267193I
4.81550 − 4.38791I 7.51480 + 5.64431I
u = 1.086530 + 0.303121I
a = 1.064310 + 0.311816I
b = 0.609869 + 0.789216I
−5.45074 − 0.28618I 0
u = 1.086530 − 0.303121I
a = 1.064310 − 0.311816I
b = 0.609869 − 0.789216I
−5.45074 + 0.28618I 0
u = 0.491332 + 0.709669I
a = −0.088786 + 0.815141I
b = 0.221359 + 0.254814I
4.93908 + 1.43224I 8.06908 − 0.15779I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.491332 − 0.709669I
a = −0.088786 − 0.815141I
b = 0.221359 − 0.254814I
4.93908 − 1.43224I 8.06908 + 0.15779I
u = −0.403533 + 0.760268I
a = 0.267521 − 0.560532I
b = −1.022550 + 0.002110I
4.09803 − 6.88748I 5.98803 + 5.67360I
u = −0.403533 − 0.760268I
a = 0.267521 + 0.560532I
b = −1.022550 − 0.002110I
4.09803 + 6.88748I 5.98803 − 5.67360I
u = 0.435479 + 0.738565I
a = −0.340386 − 0.585466I
b = 0.976190 − 0.056007I
4.63832 + 1.02745I 7.43624 − 0.48061I
u = 0.435479 − 0.738565I
a = −0.340386 + 0.585466I
b = 0.976190 + 0.056007I
4.63832 − 1.02745I 7.43624 + 0.48061I
u = 0.512317 + 0.677131I
a = −0.239608 + 0.088733I
b = −2.59699 − 0.96252I
4.13421 − 2.73861I 6.93438 + 3.68187I
u = 0.512317 − 0.677131I
a = −0.239608 − 0.088733I
b = −2.59699 + 0.96252I
4.13421 + 2.73861I 6.93438 − 3.68187I
u = 0.400729 + 0.738352I
a = −0.245520 − 0.002118I
b = −2.82388 − 0.39352I
3.54410 + 5.00424I 5.43059 − 4.10488I
u = 0.400729 − 0.738352I
a = −0.245520 + 0.002118I
b = −2.82388 + 0.39352I
3.54410 − 5.00424I 5.43059 + 4.10488I
u = −1.102880 + 0.367477I
a = −0.344266 + 0.652241I
b = −0.121331 − 0.257026I
−2.50115 + 3.66582I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.102880 − 0.367477I
a = −0.344266 − 0.652241I
b = −0.121331 + 0.257026I
−2.50115 − 3.66582I 0
u = 1.098210 + 0.403695I
a = 1.22363 + 0.99160I
b = 0.259870 + 1.162480I
−2.86030 − 5.69493I 0
u = 1.098210 − 0.403695I
a = 1.22363 − 0.99160I
b = 0.259870 − 1.162480I
−2.86030 + 5.69493I 0
u = 1.054610 + 0.509286I
a = −0.029310 + 1.008540I
b = −0.757250 + 0.151276I
−0.74422 − 4.71578I 0
u = 1.054610 − 0.509286I
a = −0.029310 − 1.008540I
b = −0.757250 − 0.151276I
−0.74422 + 4.71578I 0
u = 0.968501 + 0.660448I
a = −0.27020 − 2.62071I
b = 1.67638 − 1.12462I
11.03630 + 2.80075I 0
u = 0.968501 − 0.660448I
a = −0.27020 + 2.62071I
b = 1.67638 + 1.12462I
11.03630 − 2.80075I 0
u = 0.713458 + 0.401814I
a = −2.02379 − 0.84772I
b = 0.143402 − 0.776861I
2.20608 + 0.61401I 7.47589 + 1.44021I
u = 0.713458 − 0.401814I
a = −2.02379 + 0.84772I
b = 0.143402 + 0.776861I
2.20608 − 0.61401I 7.47589 − 1.44021I
u = −1.025040 + 0.588917I
a = −0.364367 + 0.806386I
b = −0.196063 + 0.316449I
3.37390 + 0.57283I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.025040 − 0.588917I
a = −0.364367 − 0.806386I
b = −0.196063 − 0.316449I
3.37390 − 0.57283I 0
u = 1.175180 + 0.136636I
a = −3.02288 + 0.27797I
b = −1.86228 − 0.23548I
6.23088 + 2.43913I 0
u = 1.175180 − 0.136636I
a = −3.02288 − 0.27797I
b = −1.86228 + 0.23548I
6.23088 − 2.43913I 0
u = 1.040210 + 0.573890I
a = 0.06136 − 4.10879I
b = 2.46970 − 1.68079I
2.56909 − 2.11335I 0
u = 1.040210 − 0.573890I
a = 0.06136 + 4.10879I
b = 2.46970 + 1.68079I
2.56909 + 2.11335I 0
u = −1.094740 + 0.465086I
a = −0.46059 + 1.49298I
b = 0.548757 + 0.938106I
−2.46376 + 1.65618I 0
u = −1.094740 − 0.465086I
a = −0.46059 − 1.49298I
b = 0.548757 − 0.938106I
−2.46376 − 1.65618I 0
u = −0.993124 + 0.657208I
a = 0.10713 − 2.75718I
b = −1.80551 − 1.12242I
11.57820 + 3.55082I 0
u = −0.993124 − 0.657208I
a = 0.10713 + 2.75718I
b = −1.80551 + 1.12242I
11.57820 − 3.55082I 0
u = −1.184950 + 0.164320I
a = 3.03036 + 0.36882I
b = 1.92298 − 0.26030I
5.34278 − 8.49470I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.184950 − 0.164320I
a = 3.03036 − 0.36882I
b = 1.92298 + 0.26030I
5.34278 + 8.49470I 0
u = 0.022735 + 0.799824I
a = −0.015779 + 1.180600I
b = 0.009766 + 0.228412I
5.58912 − 2.89667I 8.09026 + 2.86755I
u = 0.022735 − 0.799824I
a = −0.015779 − 1.180600I
b = 0.009766 − 0.228412I
5.58912 + 2.89667I 8.09026 − 2.86755I
u = 1.054030 + 0.586974I
a = 0.368656 + 0.817874I
b = 0.189198 + 0.289956I
3.27294 − 6.41274I 0
u = 1.054030 − 0.586974I
a = 0.368656 − 0.817874I
b = 0.189198 − 0.289956I
3.27294 + 6.41274I 0
u = 1.117380 + 0.496941I
a = 0.365386 + 0.805784I
b = 0.098800 + 0.116809I
−1.61590 − 3.87546I 0
u = 1.117380 − 0.496941I
a = 0.365386 − 0.805784I
b = 0.098800 − 0.116809I
−1.61590 + 3.87546I 0
u = −1.103910 + 0.530704I
a = 0.304974 + 1.288360I
b = 1.144840 + 0.388579I
−3.92090 + 7.05751I 0
u = −1.103910 − 0.530704I
a = 0.304974 − 1.288360I
b = 1.144840 − 0.388579I
−3.92090 − 7.05751I 0
u = −1.069590 + 0.601922I
a = −0.70243 − 3.59618I
b = −2.53564 − 1.15017I
5.86909 + 6.48356I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.069590 − 0.601922I
a = −0.70243 + 3.59618I
b = −2.53564 + 1.15017I
5.86909 − 6.48356I 0
u = 1.084910 + 0.589192I
a = −0.469396 + 0.981001I
b = −1.280000 + 0.072585I
2.72115 − 6.08579I 0
u = 1.084910 − 0.589192I
a = −0.469396 − 0.981001I
b = −1.280000 − 0.072585I
2.72115 + 6.08579I 0
u = 1.098680 + 0.580905I
a = 1.39365 − 3.79866I
b = 2.94518 − 0.91850I
1.49118 − 10.02840I 0
u = 1.098680 − 0.580905I
a = 1.39365 + 3.79866I
b = 2.94518 + 0.91850I
1.49118 + 10.02840I 0
u = −1.103030 + 0.589063I
a = 0.529023 + 1.031450I
b = 1.333430 + 0.124726I
2.03210 + 11.99530I 0
u = −1.103030 − 0.589063I
a = 0.529023 − 1.031450I
b = 1.333430 − 0.124726I
2.03210 − 11.99530I 0
u = −0.612756 + 0.421387I
a = −0.078506 + 0.406547I
b = −0.368771 + 0.268543I
−0.54710 + 1.59075I 0.20356 − 5.77263I
u = −0.612756 − 0.421387I
a = −0.078506 − 0.406547I
b = −0.368771 − 0.268543I
−0.54710 − 1.59075I 0.20356 + 5.77263I
u = −1.197400 + 0.420007I
a = −0.424767 + 0.739784I
b = −0.256018 − 0.055789I
1.92597 + 7.18036I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.197400 − 0.420007I
a = −0.424767 − 0.739784I
b = −0.256018 + 0.055789I
1.92597 − 7.18036I 0
u = 1.194270 + 0.444123I
a = 0.417217 + 0.758396I
b = 0.241409 − 0.015942I
2.09042 − 1.53105I 0
u = 1.194270 − 0.444123I
a = 0.417217 − 0.758396I
b = 0.241409 + 0.015942I
2.09042 + 1.53105I 0
u = −0.295628 + 0.656995I
a = 0.233407 − 0.299723I
b = −0.836111 + 0.261445I
−1.62780 − 2.45074I −1.21302 + 4.58964I
u = −0.295628 − 0.656995I
a = 0.233407 + 0.299723I
b = −0.836111 − 0.261445I
−1.62780 + 2.45074I −1.21302 − 4.58964I
u = −1.125270 + 0.611077I
a = −1.42590 − 3.06717I
b = −2.60872 − 0.57625I
9.36612 + 10.36270I 0
u = −1.125270 − 0.611077I
a = −1.42590 + 3.06717I
b = −2.60872 + 0.57625I
9.36612 − 10.36270I 0
u = 1.135380 + 0.604145I
a = 1.59739 − 3.01825I
b = 2.65956 − 0.47148I
8.2775 − 16.5876I 0
u = 1.135380 − 0.604145I
a = 1.59739 + 3.01825I
b = 2.65956 + 0.47148I
8.2775 + 16.5876I 0
u = 0.403168 + 0.525934I
a = −0.565182 + 0.008925I
b = 0.488522 + 0.053919I
1.114630 + 0.455666I 8.78049 − 1.93868I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.403168 − 0.525934I
a = −0.565182 − 0.008925I
b = 0.488522 − 0.053919I
1.114630 − 0.455666I 8.78049 + 1.93868I
u = 0.198800 + 0.620043I
a = −0.323351 + 1.208370I
b = 0.097754 + 0.148173I
0.929200 − 0.474927I 3.13486 + 0.05006I
u = 0.198800 − 0.620043I
a = −0.323351 − 1.208370I
b = 0.097754 − 0.148173I
0.929200 + 0.474927I 3.13486 − 0.05006I
u = −0.062646 + 0.547105I
a = 0.0309643 − 0.1334880I
b = −0.328550 + 0.882002I
0.15393 + 2.22597I 0.01912 − 3.45127I
u = −0.062646 − 0.547105I
a = 0.0309643 + 0.1334880I
b = −0.328550 − 0.882002I
0.15393 − 2.22597I 0.01912 + 3.45127I
14
II.
I
u
2
= h−u
2
a+u
3
+2b−u, −2u
3
a−2u
2
a+2a
2
−3u
2
+4a−2u+2, u
4
−2u
2
+2i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
5
=
1
u
2
a
11
=
−u
−u
3
+ u
a
8
=
a
1
2
u
2
a −
1
2
u
3
+
1
2
u
a
12
=
−u
3
−u
3
+ u
a
1
=
−u
3
+ a
1
2
u
2
a −
3
2
u
3
+
3
2
u
a
7
=
−u
3
+ a
1
2
u
2
a −
3
2
u
3
+
3
2
u
a
6
=
1
2
u
3
a −
1
2
u
3
+ ··· + a +
7
2
1
2
u
3
a −
1
2
u
3
+ ··· +
1
2
u + 1
a
9
=
u
3
u
3
− u
a
3
=
−1
−u
2
a
2
=
1
2
u
2
a −
3
2
u
3
+ a +
1
2
u
3
2
u
2
a − 2u
3
− a +
5
2
u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −2u
2
a + 2u
3
+ 4u
2
− 2u − 4
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
5
(u
2
− u + 1)
4
c
3
, c
11
(u
4
+ 2u
2
+ 2)
2
c
4
, c
10
(u
4
− 2u
2
+ 2)
2
c
6
(u
2
+ u + 1)
4
c
7
, c
8
(u − 1)
8
c
9
(u
2
− 2u + 2)
4
c
12
(u + 1)
8
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
(y
2
+ y + 1)
4
c
3
, c
11
(y
2
+ 2y + 2)
4
c
4
, c
10
(y
2
− 2y + 2)
4
c
7
, c
8
, c
12
(y −1)
8
c
9
(y
2
+ 4)
4
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.098680 + 0.455090I
a = −1.044230 + 0.410862I
b = −0.500000 − 0.866025I
−0.82247 − 5.69375I 2.00000 + 7.46410I
u = 1.098680 + 0.455090I
a = 0.68782 + 2.14291I
b = −0.500000 + 0.866025I
−0.82247 − 1.63398I 2.00000 + 0.53590I
u = 1.098680 − 0.455090I
a = −1.044230 − 0.410862I
b = −0.500000 + 0.866025I
−0.82247 + 5.69375I 2.00000 − 7.46410I
u = 1.098680 − 0.455090I
a = 0.68782 − 2.14291I
b = −0.500000 − 0.866025I
−0.82247 + 1.63398I 2.00000 − 0.53590I
u = −1.098680 + 0.455090I
a = 0.044228 − 0.589138I
b = −0.500000 − 0.866025I
−0.82247 + 1.63398I 2.00000 − 0.53590I
u = −1.098680 + 0.455090I
a = −1.68782 + 1.14291I
b = −0.500000 + 0.866025I
−0.82247 + 5.69375I 2.00000 − 7.46410I
u = −1.098680 − 0.455090I
a = 0.044228 + 0.589138I
b = −0.500000 + 0.866025I
−0.82247 − 1.63398I 2.00000 + 0.53590I
u = −1.098680 − 0.455090I
a = −1.68782 − 1.14291I
b = −0.500000 − 0.866025I
−0.82247 − 5.69375I 2.00000 + 7.46410I
18
III. I
v
1
= ha, b + v − 1, v
2
− v + 1i
(i) Arc colorings
a
4
=
1
0
a
10
=
v
0
a
5
=
1
0
a
11
=
v
0
a
8
=
0
−v + 1
a
12
=
v
0
a
1
=
v
v − 1
a
7
=
−v
−v + 1
a
6
=
0
−v
a
9
=
v
0
a
3
=
1
0
a
2
=
1
v − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4v + 8
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
6
u
2
− u + 1
c
2
u
2
+ u + 1
c
3
, c
4
, c
9
c
10
, c
11
u
2
c
7
, c
8
(u + 1)
2
c
12
(u − 1)
2
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
y
2
+ y + 1
c
3
, c
4
, c
9
c
10
, c
11
y
2
c
7
, c
8
, c
12
(y − 1)
2
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 0.500000 + 0.866025I
a = 0
b = 0.500000 − 0.866025I
1.64493 + 2.02988I 6.00000 − 3.46410I
v = 0.500000 − 0.866025I
a = 0
b = 0.500000 + 0.866025I
1.64493 − 2.02988I 6.00000 + 3.46410I
22
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
((u
2
− u + 1)
5
)(u
95
+ 30u
94
+ ··· − 34u − 25)
c
2
((u
2
− u + 1)
4
)(u
2
+ u + 1)(u
95
− 2u
94
+ ··· + 4u + 5)
c
3
u
2
(u
4
+ 2u
2
+ 2)
2
(u
95
+ u
94
+ ··· − 82980u − 39988)
c
4
, c
10
u
2
(u
4
− 2u
2
+ 2)
2
(u
95
− u
94
+ ··· + 4u − 4)
c
6
(u
2
− u + 1)(u
2
+ u + 1)
4
(u
95
− 2u
94
+ ··· + 4u + 5)
c
7
, c
8
((u − 1)
8
)(u + 1)
2
(u
95
− 3u
94
+ ··· − 21u − 1)
c
9
u
2
(u
2
− 2u + 2)
4
(u
95
+ 45u
94
+ ··· + 80u + 16)
c
11
u
2
(u
4
+ 2u
2
+ 2)
2
(u
95
− 3u
94
+ ··· + 3028u + 44)
c
12
((u − 1)
2
)(u + 1)
8
(u
95
− 3u
94
+ ··· − 21u − 1)
23
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
((y
2
+ y + 1)
5
)(y
95
+ 78y
94
+ ··· + 72906y − 625)
c
2
, c
6
((y
2
+ y + 1)
5
)(y
95
+ 30y
94
+ ··· − 34y − 25)
c
3
y
2
(y
2
+ 2y + 2)
4
(y
95
− 45y
94
+ ··· − 7.80559 × 10
9
y − 1.59904 × 10
9
)
c
4
, c
10
y
2
(y
2
− 2y + 2)
4
(y
95
− 45y
94
+ ··· + 80y − 16)
c
7
, c
8
, c
12
((y − 1)
10
)(y
95
− 95y
94
+ ··· + 7y − 1)
c
9
y
2
(y
2
+ 4)
4
(y
95
+ 15y
94
+ ··· − 1792y − 256)
c
11
y
2
(y
2
+ 2y + 2)
4
(y
95
+ 15y
94
+ ··· + 8655568y − 1936)
24
