11a
278
(K11a
278
)
A knot diagram
1
Linearized knot diagam
9 5 1 10 2 4 11 3 6 8 7
Solving Sequence
2,6
5
3,10
4 7 9 1 8 11
c
5
c
2
c
4
c
6
c
9
c
1
c
8
c
11
c
3
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.19641 × 10
18
u
40
− 1.14397 × 10
19
u
39
+ ··· + 1.66044 × 10
18
b + 1.81027 × 10
19
,
4.68165 × 10
19
u
40
− 5.02396 × 10
20
u
39
+ ··· + 3.98505 × 10
19
a − 1.19786 × 10
21
,
u
41
− 11u
40
+ ··· − 239u + 24i
I
u
2
= h−u
22
a − 6u
21
a + ··· − a − 1, −u
21
a − 3u
22
+ ··· + a
2
− 13u, u
23
+ 7u
22
+ ··· + 4u + 1i
I
u
3
= h2u
15
+ 15u
14
+ ··· + b + 8, −8u
16
− 54u
15
+ ··· + 5a + 43, u
17
+ 8u
16
+ ··· + 29u + 5i
* 3 irreducible components of dim
C
= 0, with total 104 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
=
h1.20×10
18
u
40
−1.14×10
19
u
39
+· · ·+1.66×10
18
b+1.81×10
19
, 4.68×10
19
u
40
−
5.02 × 10
20
u
39
+ · · · + 3.99 × 10
19
a − 1.20 × 10
21
, u
41
− 11u
40
+ · · · − 239u + 24i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
−u
2
a
3
=
−u
u
3
+ u
a
10
=
−1.17480u
40
+ 12.6070u
39
+ ··· − 319.545u + 30.0588
−0.720540u
40
+ 6.88956u
39
+ ··· + 67.6080u − 10.9023
a
4
=
1.14574u
40
− 11.8183u
39
+ ··· − 20.0365u + 6.80811
0.738778u
40
− 6.60293u
39
+ ··· − 93.3051u + 9.76711
a
7
=
0.633150u
40
− 5.52375u
39
+ ··· − 208.982u + 22.2813
−0.938766u
40
+ 10.6746u
39
+ ··· − 322.499u + 32.6119
a
9
=
−0.454264u
40
+ 5.71745u
39
+ ··· − 387.153u + 40.9611
−0.720540u
40
+ 6.88956u
39
+ ··· + 67.6080u − 10.9023
a
1
=
−1.28278u
40
+ 13.4475u
39
+ ··· − 94.7279u + 10.9155
0.663004u
40
− 8.31978u
39
+ ··· + 296.668u − 30.7866
a
8
=
0.277139u
40
− 1.62154u
39
+ ··· − 383.007u + 40.2112
−0.534336u
40
+ 6.09950u
39
+ ··· − 87.8238u + 6.80221
a
11
=
−2.29615u
40
+ 24.6191u
39
+ ··· − 309.565u + 27.7328
−0.339712u
40
+ 2.80144u
39
+ ··· + 173.961u − 19.8874
a
11
=
−2.29615u
40
+ 24.6191u
39
+ ··· − 309.565u + 27.7328
−0.339712u
40
+ 2.80144u
39
+ ··· + 173.961u − 19.8874
(ii) Obstruction class = −1
(iii) Cusp Shapes =
1664141169681345798
1660437713445795359
u
40
−
20019045792937126226
1660437713445795359
u
39
+ ··· +
734545644265820275638
1660437713445795359
u −
59737924674909497694
1660437713445795359
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
u
41
− 12u
39
+ ··· − 2u + 1
c
2
, c
5
u
41
− 11u
40
+ ··· − 239u + 24
c
3
, c
6
u
41
− u
40
+ ··· + 6u + 1
c
4
, c
8
u
41
− 3u
39
+ ··· + 39u + 19
c
7
, c
10
, c
11
u
41
− 8u
40
+ ··· + 9u − 2
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
y
41
− 24y
40
+ ··· + 96y −1
c
2
, c
5
y
41
+ 23y
40
+ ··· − 10223y −576
c
3
, c
6
y
41
+ 27y
40
+ ··· − 82y −1
c
4
, c
8
y
41
− 6y
40
+ ··· + 4637y −361
c
7
, c
10
, c
11
y
41
+ 40y
40
+ ··· − 87y −4
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.029022 + 1.006330I
a = 1.62224 + 0.62151I
b = 1.118340 − 0.475258I
3.33397 + 0.06687I 6.02301 + 0.24252I
u = −0.029022 − 1.006330I
a = 1.62224 − 0.62151I
b = 1.118340 + 0.475258I
3.33397 − 0.06687I 6.02301 − 0.24252I
u = 0.212627 + 0.952062I
a = 1.81242 − 0.15435I
b = 0.78122 − 1.20521I
1.10287 − 3.44596I −5.05254 − 2.71451I
u = 0.212627 − 0.952062I
a = 1.81242 + 0.15435I
b = 0.78122 + 1.20521I
1.10287 + 3.44596I −5.05254 + 2.71451I
u = 1.052800 + 0.131390I
a = 0.017775 − 0.158160I
b = −0.971790 − 0.691117I
0.26528 + 7.29842I −3.00000 − 7.62825I
u = 1.052800 − 0.131390I
a = 0.017775 + 0.158160I
b = −0.971790 + 0.691117I
0.26528 − 7.29842I −3.00000 + 7.62825I
u = −0.125412 + 1.084050I
a = −1.83248 − 0.48717I
b = −1.204160 + 0.550939I
8.77240 + 0.69151I 5.83897 + 1.00152I
u = −0.125412 − 1.084050I
a = −1.83248 + 0.48717I
b = −1.204160 − 0.550939I
8.77240 − 0.69151I 5.83897 − 1.00152I
u = −1.12668
a = −0.245548
b = −0.130087
−2.19078 −19.8800
u = 0.821173 + 0.119690I
a = −0.297539 + 0.031863I
b = 0.933904 + 0.677894I
0.99974 + 2.62993I −0.91222 − 3.18628I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.821173 − 0.119690I
a = −0.297539 − 0.031863I
b = 0.933904 − 0.677894I
0.99974 − 2.62993I −0.91222 + 3.18628I
u = 1.182590 + 0.075770I
a = 0.116810 + 0.162777I
b = 0.978144 + 0.696826I
6.46948 + 11.04650I 0. − 7.47384I
u = 1.182590 − 0.075770I
a = 0.116810 − 0.162777I
b = 0.978144 − 0.696826I
6.46948 − 11.04650I 0. + 7.47384I
u = −0.388375 + 1.153130I
a = 0.886517 + 0.002500I
b = 0.509537 − 0.312406I
5.35338 + 3.81903I 0
u = −0.388375 − 1.153130I
a = 0.886517 − 0.002500I
b = 0.509537 + 0.312406I
5.35338 − 3.81903I 0
u = 0.717608 + 0.311811I
a = −0.110757 − 0.623250I
b = −1.032150 + 0.566413I
7.82283 − 0.16471I 3.38955 + 1.65431I
u = 0.717608 − 0.311811I
a = −0.110757 + 0.623250I
b = −1.032150 − 0.566413I
7.82283 + 0.16471I 3.38955 − 1.65431I
u = 0.495810 + 1.155840I
a = 0.816045 + 0.781921I
b = 1.125660 − 0.059155I
4.52174 − 1.46436I 0
u = 0.495810 − 1.155840I
a = 0.816045 − 0.781921I
b = 1.125660 + 0.059155I
4.52174 + 1.46436I 0
u = −1.215000 + 0.331445I
a = 0.383654 − 0.112321I
b = 0.206819 − 0.088073I
1.95983 + 1.37588I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.215000 − 0.331445I
a = 0.383654 + 0.112321I
b = 0.206819 + 0.088073I
1.95983 − 1.37588I 0
u = 0.038850 + 0.715738I
a = −1.55374 − 1.28578I
b = −1.154670 + 0.349145I
7.32305 + 0.14265I 5.03936 + 0.27284I
u = 0.038850 − 0.715738I
a = −1.55374 + 1.28578I
b = −1.154670 − 0.349145I
7.32305 − 0.14265I 5.03936 − 0.27284I
u = −0.185808 + 0.685986I
a = −1.118850 + 0.444113I
b = −0.249566 + 0.572464I
−0.087291 + 1.322900I −3.26673 − 3.24423I
u = −0.185808 − 0.685986I
a = −1.118850 − 0.444113I
b = −0.249566 − 0.572464I
−0.087291 − 1.322900I −3.26673 + 3.24423I
u = 0.347665 + 1.264830I
a = −1.77476 − 0.18019I
b = −1.31566 + 0.98619I
12.33800 − 3.83464I 0
u = 0.347665 − 1.264830I
a = −1.77476 + 0.18019I
b = −1.31566 − 0.98619I
12.33800 + 3.83464I 0
u = 0.490892 + 1.239610I
a = 1.70373 + 0.26449I
b = 1.40330 − 0.98654I
4.41136 − 7.49164I 0
u = 0.490892 − 1.239610I
a = 1.70373 − 0.26449I
b = 1.40330 + 0.98654I
4.41136 + 7.49164I 0
u = 0.684336 + 1.194050I
a = −0.636884 − 0.796428I
b = −1.128510 − 0.133079I
10.00540 − 5.34593I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.684336 − 1.194050I
a = −0.636884 + 0.796428I
b = −1.128510 + 0.133079I
10.00540 + 5.34593I 0
u = 0.325776 + 1.364770I
a = −0.829707 − 0.563437I
b = −0.920142 + 0.089185I
5.42164 + 2.35534I 0
u = 0.325776 − 1.364770I
a = −0.829707 + 0.563437I
b = −0.920142 − 0.089185I
5.42164 − 2.35534I 0
u = 0.558892 + 1.297930I
a = −1.62402 − 0.22838I
b = −1.40055 + 0.94692I
3.92238 − 13.02370I 0
u = 0.558892 − 1.297930I
a = −1.62402 + 0.22838I
b = −1.40055 − 0.94692I
3.92238 + 13.02370I 0
u = 0.58068 + 1.35810I
a = 1.60234 + 0.17682I
b = 1.38863 − 0.93704I
10.5240 − 17.2112I 0
u = 0.58068 − 1.35810I
a = 1.60234 − 0.17682I
b = 1.38863 + 0.93704I
10.5240 + 17.2112I 0
u = 0.113639 + 0.464794I
a = −1.43312 + 0.66702I
b = 0.144535 + 0.741778I
−0.006980 + 1.308310I 1.77615 − 2.91870I
u = 0.113639 − 0.464794I
a = −1.43312 − 0.66702I
b = 0.144535 − 0.741778I
−0.006980 − 1.308310I 1.77615 + 2.91870I
u = 0.38362 + 1.54611I
a = 0.727259 + 0.513748I
b = 0.852167 − 0.006427I
11.91810 + 4.98494I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.38362 − 1.54611I
a = 0.727259 − 0.513748I
b = 0.852167 + 0.006427I
11.91810 − 4.98494I 0
9
II. I
u
2
= h−u
22
a − 6u
21
a + · · · − a − 1, −u
21
a − 3u
22
+ · · · + a
2
− 13u, u
23
+
7u
22
+ · · · + 4u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
−u
2
a
3
=
−u
u
3
+ u
a
10
=
a
u
22
a + 6u
21
a + ··· + a + 1
a
4
=
−u
21
− 8u
20
+ ··· − a − 3
−u
22
a − 6u
21
a + ··· − a − 1
a
7
=
−u
21
− 6u
20
+ ··· − a + 3
u
22
a + 6u
21
a + ··· + a − 1
a
9
=
−u
22
a − 6u
21
a + ··· − 4u − 1
u
22
a + 6u
21
a + ··· + a + 1
a
1
=
−u
21
a − u
21
+ ··· + a + 4
−1
a
8
=
u
21
+ 6u
20
+ ··· + a − 1
−u
22
a − 6u
21
a + ··· − a + 1
a
11
=
−u
21
− 6u
20
+ ··· + a + 2
u
22
a + 6u
21
a + ··· + a − 1
a
11
=
−u
21
− 6u
20
+ ··· + a + 2
u
22
a + 6u
21
a + ··· + a − 1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u
22
− 20u
21
− 72u
20
− 172u
19
− 320u
18
− 444u
17
− 436u
16
−
196u
15
+ 308u
14
+ 932u
13
+ 1500u
12
+ 1784u
11
+ 1704u
10
+ 1348u
9
+ 844u
8
+ 436u
7
+
148u
6
+ 16u
5
− 20u
4
− 28u
3
− 4u
2
− 8u − 6
10
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
u
46
− u
45
+ ··· + 8u
2
+ 1
c
2
, c
5
(u
23
+ 7u
22
+ ··· + 4u + 1)
2
c
3
, c
6
u
46
− 7u
45
+ ··· − 188u + 37
c
4
, c
8
u
46
+ u
45
+ ··· + 36u + 11
c
7
, c
10
, c
11
(u
23
+ 5u
22
+ ··· + 6u
2
− 1)
2
11
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
y
46
+ 7y
45
+ ··· + 16y + 1
c
2
, c
5
(y
23
+ 15y
22
+ ··· − 12y − 1)
2
c
3
, c
6
y
46
− 5y
45
+ ··· + 23412y + 1369
c
4
, c
8
y
46
− 13y
45
+ ··· + 4820y + 121
c
7
, c
10
, c
11
(y
23
+ 23y
22
+ ··· + 12y − 1)
2
12
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.233567 + 1.031350I
a = 0.34801 + 1.50362I
b = 0.60058 + 2.13953I
7.62895 − 7.86344I 3.61806 + 10.44591I
u = 0.233567 + 1.031350I
a = −2.69560 + 0.51605I
b = −0.596857 + 0.409017I
7.62895 − 7.86344I 3.61806 + 10.44591I
u = 0.233567 − 1.031350I
a = 0.34801 − 1.50362I
b = 0.60058 − 2.13953I
7.62895 + 7.86344I 3.61806 − 10.44591I
u = 0.233567 − 1.031350I
a = −2.69560 − 0.51605I
b = −0.596857 − 0.409017I
7.62895 + 7.86344I 3.61806 − 10.44591I
u = 0.186753 + 0.913593I
a = 0.54495 − 1.43828I
b = 0.02137 − 2.03091I
0.48240 − 3.68961I −4.31455 + 10.86650I
u = 0.186753 + 0.913593I
a = 2.57289 − 0.13037I
b = 0.443646 − 0.589013I
0.48240 − 3.68961I −4.31455 + 10.86650I
u = 0.186753 − 0.913593I
a = 0.54495 + 1.43828I
b = 0.02137 + 2.03091I
0.48240 + 3.68961I −4.31455 − 10.86650I
u = 0.186753 − 0.913593I
a = 2.57289 + 0.13037I
b = 0.443646 + 0.589013I
0.48240 + 3.68961I −4.31455 − 10.86650I
u = −1.07372
a = −0.257664 + 0.016236I
b = −0.133412 + 0.236476I
−2.18491 −16.7310
u = −1.07372
a = −0.257664 − 0.016236I
b = −0.133412 − 0.236476I
−2.18491 −16.7310
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.126300 + 0.206470I
a = 0.499507 − 0.147399I
b = 0.427226 + 0.266230I
1.93766 + 1.32101I −4.99704 − 4.34736I
u = −1.126300 + 0.206470I
a = 0.321072 − 0.184827I
b = −0.003992 − 0.480793I
1.93766 + 1.32101I −4.99704 − 4.34736I
u = −1.126300 − 0.206470I
a = 0.499507 + 0.147399I
b = 0.427226 − 0.266230I
1.93766 − 1.32101I −4.99704 + 4.34736I
u = −1.126300 − 0.206470I
a = 0.321072 + 0.184827I
b = −0.003992 + 0.480793I
1.93766 − 1.32101I −4.99704 + 4.34736I
u = −0.616588 + 1.034050I
a = 1.49907 − 0.31690I
b = 1.218300 + 0.349141I
4.52825 + 4.72419I −0.87243 − 5.66443I
u = −0.616588 + 1.034050I
a = −0.246425 + 0.316671I
b = −0.515604 − 0.701003I
4.52825 + 4.72419I −0.87243 − 5.66443I
u = −0.616588 − 1.034050I
a = 1.49907 + 0.31690I
b = 1.218300 − 0.349141I
4.52825 − 4.72419I −0.87243 + 5.66443I
u = −0.616588 − 1.034050I
a = −0.246425 − 0.316671I
b = −0.515604 + 0.701003I
4.52825 − 4.72419I −0.87243 + 5.66443I
u = −0.356806 + 1.198900I
a = −0.908631 + 0.827801I
b = −0.674442 − 0.472287I
4.04810 + 4.55921I 5.41713 − 6.09867I
u = −0.356806 + 1.198900I
a = 1.68320 + 0.12017I
b = 1.47512 + 0.74465I
4.04810 + 4.55921I 5.41713 − 6.09867I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.356806 − 1.198900I
a = −0.908631 − 0.827801I
b = −0.674442 + 0.472287I
4.04810 − 4.55921I 5.41713 + 6.09867I
u = −0.356806 − 1.198900I
a = 1.68320 − 0.12017I
b = 1.47512 − 0.74465I
4.04810 − 4.55921I 5.41713 + 6.09867I
u = 0.089537 + 0.682903I
a = −1.058990 − 0.734558I
b = 0.199185 + 0.887413I
−0.19963 + 1.69919I −7.29306 − 0.59779I
u = 0.089537 + 0.682903I
a = −2.31010 + 1.12368I
b = −0.994995 + 1.004440I
−0.19963 + 1.69919I −7.29306 − 0.59779I
u = 0.089537 − 0.682903I
a = −1.058990 + 0.734558I
b = 0.199185 − 0.887413I
−0.19963 − 1.69919I −7.29306 + 0.59779I
u = 0.089537 − 0.682903I
a = −2.31010 − 1.12368I
b = −0.994995 − 1.004440I
−0.19963 − 1.69919I −7.29306 + 0.59779I
u = −0.184645 + 1.327800I
a = −1.58659 − 0.65447I
b = −1.47802 − 1.24587I
11.44280 + 6.01561I 9.34351 − 5.45649I
u = −0.184645 + 1.327800I
a = 1.53384 − 0.96668I
b = 0.765206 + 0.253347I
11.44280 + 6.01561I 9.34351 − 5.45649I
u = −0.184645 − 1.327800I
a = −1.58659 + 0.65447I
b = −1.47802 + 1.24587I
11.44280 − 6.01561I 9.34351 + 5.45649I
u = −0.184645 − 1.327800I
a = 1.53384 + 0.96668I
b = 0.765206 − 0.253347I
11.44280 − 6.01561I 9.34351 + 5.45649I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.54822 + 1.33148I
a = 0.914945 − 0.015844I
b = 0.843719 + 0.814001I
1.92714 + 5.73570I −6.54258 − 11.45569I
u = −0.54822 + 1.33148I
a = −1.365520 + 0.207271I
b = −1.065870 − 0.549777I
1.92714 + 5.73570I −6.54258 − 11.45569I
u = −0.54822 − 1.33148I
a = 0.914945 + 0.015844I
b = 0.843719 − 0.814001I
1.92714 − 5.73570I −6.54258 + 11.45569I
u = −0.54822 − 1.33148I
a = −1.365520 − 0.207271I
b = −1.065870 + 0.549777I
1.92714 − 5.73570I −6.54258 + 11.45569I
u = −0.388479 + 0.400318I
a = −1.155830 − 0.149061I
b = 0.438402 + 0.600768I
−0.02603 + 1.77955I −5.09313 − 4.79070I
u = −0.388479 + 0.400318I
a = −1.14506 + 1.66093I
b = −0.919497 + 0.346909I
−0.02603 + 1.77955I −5.09313 − 4.79070I
u = −0.388479 − 0.400318I
a = −1.155830 + 0.149061I
b = 0.438402 − 0.600768I
−0.02603 − 1.77955I −5.09313 + 4.79070I
u = −0.388479 − 0.400318I
a = −1.14506 − 1.66093I
b = −0.919497 − 0.346909I
−0.02603 − 1.77955I −5.09313 + 4.79070I
u = 0.300297 + 0.396341I
a = −0.36424 + 1.38690I
b = −0.583913 − 0.986914I
5.91614 + 5.40360I −0.73363 − 1.75125I
u = 0.300297 + 0.396341I
a = 3.16595 − 0.53729I
b = 0.874871 − 0.799916I
5.91614 + 5.40360I −0.73363 − 1.75125I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.300297 − 0.396341I
a = −0.36424 − 1.38690I
b = −0.583913 + 0.986914I
5.91614 − 5.40360I −0.73363 + 1.75125I
u = 0.300297 − 0.396341I
a = 3.16595 + 0.53729I
b = 0.874871 + 0.799916I
5.91614 − 5.40360I −0.73363 + 1.75125I
u = −0.55226 + 1.43648I
a = −0.920559 − 0.249915I
b = −0.878187 − 0.988227I
6.99739 + 7.32012I 2.83321 − 9.36955I
u = −0.55226 + 1.43648I
a = 1.43177 − 0.29444I
b = 1.037170 + 0.468605I
6.99739 + 7.32012I 2.83321 − 9.36955I
u = −0.55226 − 1.43648I
a = −0.920559 + 0.249915I
b = −0.878187 + 0.988227I
6.99739 − 7.32012I 2.83321 + 9.36955I
u = −0.55226 − 1.43648I
a = 1.43177 + 0.29444I
b = 1.037170 − 0.468605I
6.99739 − 7.32012I 2.83321 + 9.36955I
17
III. I
u
3
=
h2u
15
+15u
14
+· · ·+b+8, −8u
16
−54u
15
+· · ·+5a+43, u
17
+8u
16
+· · ·+29u+5i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
−u
2
a
3
=
−u
u
3
+ u
a
10
=
8
5
u
16
+
54
5
u
15
+ ··· − 44u −
43
5
−2u
15
− 15u
14
+ ··· − 47u − 8
a
4
=
1
5
u
16
+
8
5
u
15
+ ··· + 19u +
24
5
−u
2
− u − 1
a
7
=
−
1
5
u
16
−
8
5
u
15
+ ··· − 17u −
14
5
u
4
+ 2u
3
+ 3u
2
+ 2u + 1
a
9
=
8
5
u
16
+
64
5
u
15
+ ··· + 3u −
3
5
−2u
15
− 15u
14
+ ··· − 47u − 8
a
1
=
4
5
u
16
+
32
5
u
15
+ ··· + 8u −
4
5
−u
15
− 7u
14
+ ··· − 23u − 4
a
8
=
8
5
u
16
+
59
5
u
15
+ ··· − 28u −
28
5
−2u
15
− 15u
14
+ ··· − 45u − 8
a
11
=
2
5
u
16
+
11
5
u
15
+ ··· − 39u −
42
5
−u
15
− 7u
14
+ ··· − 16u − 2
a
11
=
2
5
u
16
+
11
5
u
15
+ ··· − 39u −
42
5
−u
15
− 7u
14
+ ··· − 16u − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −8u
16
− 73u
15
− 345u
14
− 1129u
13
− 2811u
12
− 5603u
11
− 9220u
10
− 12735u
9
−
14949u
8
− 15016u
7
− 12923u
6
− 9534u
5
− 5946u
4
− 3070u
3
− 1267u
2
− 373u − 64
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
u
17
+ 3u
15
+ ··· − u − 1
c
2
u
17
− 8u
16
+ ··· + 29u − 5
c
3
, c
6
u
17
+ u
16
+ ··· + u + 1
c
4
, c
8
u
17
− 4u
15
+ ··· − 2u
2
+ 1
c
5
u
17
+ 8u
16
+ ··· + 29u + 5
c
7
u
17
− 5u
16
+ ··· + 6u − 1
c
10
, c
11
u
17
+ 5u
16
+ ··· + 6u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
y
17
+ 6y
16
+ ··· + 7y − 1
c
2
, c
5
y
17
+ 8y
16
+ ··· − 159y − 25
c
3
, c
6
y
17
− 7y
16
+ ··· + y − 1
c
4
, c
8
y
17
− 8y
16
+ ··· + 4y − 1
c
7
, c
10
, c
11
y
17
+ 17y
16
+ ··· − 8y − 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.212883 + 0.989804I
a = −1.78717 − 0.40799I
b = −0.65506 − 1.31329I
1.43397 + 3.72395I 9.02521 − 8.71756I
u = −0.212883 − 0.989804I
a = −1.78717 + 0.40799I
b = −0.65506 + 1.31329I
1.43397 − 3.72395I 9.02521 + 8.71756I
u = 0.187789 + 0.804462I
a = −1.56094 − 1.01561I
b = −0.263040 − 1.039610I
7.01302 − 6.58132I 2.73271 + 4.66890I
u = 0.187789 − 0.804462I
a = −1.56094 + 1.01561I
b = −0.263040 + 1.039610I
7.01302 + 6.58132I 2.73271 − 4.66890I
u = −0.049862 + 0.811132I
a = 1.77966 + 0.76282I
b = 0.299763 + 1.223360I
0.38103 − 2.23066I 3.27072 + 6.66488I
u = −0.049862 − 0.811132I
a = 1.77966 − 0.76282I
b = 0.299763 − 1.223360I
0.38103 + 2.23066I 3.27072 − 6.66488I
u = −1.26194
a = −0.0920978
b = −0.443696
−1.98855 20.3120
u = −0.623402 + 0.351291I
a = 0.635918 + 0.086672I
b = −0.381807 + 0.805862I
−0.81423 − 1.18978I −7.16259 + 1.41463I
u = −0.623402 − 0.351291I
a = 0.635918 − 0.086672I
b = −0.381807 − 0.805862I
−0.81423 + 1.18978I −7.16259 − 1.41463I
u = −0.159792 + 1.337940I
a = 1.264290 + 0.275164I
b = 0.691210 + 0.860233I
9.78949 + 6.03317I 3.31072 − 5.48564I
21
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.159792 − 1.337940I
a = 1.264290 − 0.275164I
b = 0.691210 − 0.860233I
9.78949 − 6.03317I 3.31072 + 5.48564I
u = −0.459989 + 1.288470I
a = −1.256360 + 0.121374I
b = −0.988881 − 0.741602I
2.67441 + 5.22342I 1.79503 − 5.33597I
u = −0.459989 − 1.288470I
a = −1.256360 − 0.121374I
b = −0.988881 + 0.741602I
2.67441 − 5.22342I 1.79503 + 5.33597I
u = −1.41090 + 0.33080I
a = 0.174049 − 0.117023I
b = 0.570172 − 0.082917I
2.33565 + 1.27004I 12.05941 + 2.53511I
u = −1.41090 − 0.33080I
a = 0.174049 + 0.117023I
b = 0.570172 + 0.082917I
2.33565 − 1.27004I 12.05941 − 2.53511I
u = −0.63999 + 1.39192I
a = 0.996603 − 0.187799I
b = 0.949489 + 0.516009I
6.14483 + 5.85758I 2.31283 − 5.33514I
u = −0.63999 − 1.39192I
a = 0.996603 + 0.187799I
b = 0.949489 − 0.516009I
6.14483 − 5.85758I 2.31283 + 5.33514I
22
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
9
(u
17
+ 3u
15
+ ··· − u − 1)(u
41
− 12u
39
+ ··· − 2u + 1)
· (u
46
− u
45
+ ··· + 8u
2
+ 1)
c
2
(u
17
− 8u
16
+ ··· + 29u − 5)(u
23
+ 7u
22
+ ··· + 4u + 1)
2
· (u
41
− 11u
40
+ ··· − 239u + 24)
c
3
, c
6
(u
17
+ u
16
+ ··· + u + 1)(u
41
− u
40
+ ··· + 6u + 1)
· (u
46
− 7u
45
+ ··· − 188u + 37)
c
4
, c
8
(u
17
− 4u
15
+ ··· − 2u
2
+ 1)(u
41
− 3u
39
+ ··· + 39u + 19)
· (u
46
+ u
45
+ ··· + 36u + 11)
c
5
(u
17
+ 8u
16
+ ··· + 29u + 5)(u
23
+ 7u
22
+ ··· + 4u + 1)
2
· (u
41
− 11u
40
+ ··· − 239u + 24)
c
7
(u
17
− 5u
16
+ ··· + 6u − 1)(u
23
+ 5u
22
+ ··· + 6u
2
− 1)
2
· (u
41
− 8u
40
+ ··· + 9u − 2)
c
10
, c
11
(u
17
+ 5u
16
+ ··· + 6u + 1)(u
23
+ 5u
22
+ ··· + 6u
2
− 1)
2
· (u
41
− 8u
40
+ ··· + 9u − 2)
23
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
9
(y
17
+ 6y
16
+ ··· + 7y − 1)(y
41
− 24y
40
+ ··· + 96y − 1)
· (y
46
+ 7y
45
+ ··· + 16y + 1)
c
2
, c
5
(y
17
+ 8y
16
+ ··· − 159y − 25)(y
23
+ 15y
22
+ ··· − 12y − 1)
2
· (y
41
+ 23y
40
+ ··· − 10223y − 576)
c
3
, c
6
(y
17
− 7y
16
+ ··· + y − 1)(y
41
+ 27y
40
+ ··· − 82y − 1)
· (y
46
− 5y
45
+ ··· + 23412y + 1369)
c
4
, c
8
(y
17
− 8y
16
+ ··· + 4y − 1)(y
41
− 6y
40
+ ··· + 4637y − 361)
· (y
46
− 13y
45
+ ··· + 4820y + 121)
c
7
, c
10
, c
11
(y
17
+ 17y
16
+ ··· − 8y − 1)(y
23
+ 23y
22
+ ··· + 12y − 1)
2
· (y
41
+ 40y
40
+ ··· − 87y − 4)
24
