12a
0284
(K12a
0284
)
A knot diagram
1
Linearized knot diagam
3 6 8 9 10 2 11 4 1 12 7 5
Solving Sequence
2,7
6 3
1,12
11 8 4 10 5 9
c
6
c
2
c
1
c
11
c
7
c
3
c
10
c
5
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.11523 × 10
322
u
128
− 5.51615 × 10
322
u
127
+ ··· + 7.53841 × 10
322
b + 8.81896 × 10
322
,
− 2.42099 × 10
324
u
128
+ 1.88050 × 10
324
u
127
+ ··· + 4.89997 × 10
324
a − 4.91206 × 10
324
,
u
129
− u
128
+ ··· + 137u − 13i
I
u
2
= h5u
27
+ 6u
26
+ ··· + b + 2, 6u
27
+ 19u
26
+ ··· + a + 23, u
28
+ 2u
27
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 157 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
= h2.12 × 10
322
u
128
− 5.52 × 10
322
u
127
+ · · · + 7.54 × 10
322
b + 8.82 ×
10
322
, −2.42 × 10
324
u
128
+ 1.88 × 10
324
u
127
+ · · · + 4.90 × 10
324
a − 4.91 ×
10
324
, u
129
− u
128
+ · · · + 137u − 13i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
12
=
0.494084u
128
− 0.383778u
127
+ ··· − 6.96403u + 1.00247
−0.280594u
128
+ 0.731739u
127
+ ··· + 27.8062u − 1.16987
a
11
=
0.213490u
128
+ 0.347960u
127
+ ··· + 20.8422u − 0.167402
−0.280594u
128
+ 0.731739u
127
+ ··· + 27.8062u − 1.16987
a
8
=
−1.40665u
128
+ 1.42022u
127
+ ··· − 26.1537u + 0.0735769
0.569437u
128
− 1.35911u
127
+ ··· − 107.757u + 8.46868
a
4
=
0.207779u
128
− 0.290200u
127
+ ··· − 63.9032u + 4.81670
0.559337u
128
− 0.771287u
127
+ ··· − 22.2391u + 1.72665
a
10
=
1.39925u
128
− 2.13313u
127
+ ··· + 27.0446u − 7.75958
−0.717274u
128
+ 1.61861u
127
+ ··· + 79.7326u − 7.23816
a
5
=
−0.499032u
128
+ 0.282170u
127
+ ··· − 26.1238u + 5.09116
0.435156u
128
− 0.835389u
127
+ ··· − 28.2553u + 1.29870
a
9
=
1.09787u
128
− 1.38838u
127
+ ··· + 56.8709u − 9.95927
−0.435694u
128
+ 1.08524u
127
+ ··· + 67.5703u − 6.43747
(ii) Obstruction class = −1
(iii) Cusp Shapes = 5.38288u
128
− 6.93878u
127
+ ··· − 56.7921u − 2.13704
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
129
+ 61u
128
+ ··· + 2857u − 169
c
2
, c
6
u
129
+ u
128
+ ··· + 137u + 13
c
3
, c
4
, c
8
u
129
− u
128
+ ··· − 35u + 1
c
5
u
129
+ u
128
+ ··· − 17u + 3
c
7
, c
11
u
129
− u
128
+ ··· + 1041u + 391
c
9
u
129
− 11u
128
+ ··· − 2772u − 1336
c
10
u
129
− 53u
128
+ ··· − 3530901u + 152881
c
12
u
129
− 5u
128
+ ··· + 87185u + 62623
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
129
+ 29y
128
+ ··· + 4737157y −28561
c
2
, c
6
y
129
+ 61y
128
+ ··· + 2857y −169
c
3
, c
4
, c
8
y
129
− 131y
128
+ ··· + 111y −1
c
5
y
129
+ 9y
128
+ ··· − 293y −9
c
7
, c
11
y
129
+ 53y
128
+ ··· − 3530901y −152881
c
9
y
129
− 25y
128
+ ··· + 84295568y −1784896
c
10
y
129
+ 61y
128
+ ··· + 863028617863y −23372600161
c
12
y
129
+ 47y
128
+ ··· − 202889332557y −3921640129
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.225214 + 0.970442I
a = 0.188196 − 0.699549I
b = 0.069903 + 0.599101I
−0.80326 − 1.93442I 0
u = −0.225214 − 0.970442I
a = 0.188196 + 0.699549I
b = 0.069903 − 0.599101I
−0.80326 + 1.93442I 0
u = 0.328434 + 0.950935I
a = 0.29600 − 1.84878I
b = −0.227836 − 0.965332I
−5.38486 + 3.82100I 0
u = 0.328434 − 0.950935I
a = 0.29600 + 1.84878I
b = −0.227836 + 0.965332I
−5.38486 − 3.82100I 0
u = 0.362252 + 0.943135I
a = −0.719526 − 1.108760I
b = 0.727767 + 0.830631I
−1.81178 − 0.98745I 0
u = 0.362252 − 0.943135I
a = −0.719526 + 1.108760I
b = 0.727767 − 0.830631I
−1.81178 + 0.98745I 0
u = 0.999843 + 0.147388I
a = −0.967711 − 0.726256I
b = 0.419979 − 1.062220I
−0.21128 + 3.47728I 0
u = 0.999843 − 0.147388I
a = −0.967711 + 0.726256I
b = 0.419979 + 1.062220I
−0.21128 − 3.47728I 0
u = −0.940780 + 0.295046I
a = −0.571993 + 0.318063I
b = 0.899065 + 0.496812I
−6.84068 + 6.76676I 0
u = −0.940780 − 0.295046I
a = −0.571993 − 0.318063I
b = 0.899065 − 0.496812I
−6.84068 − 6.76676I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.705773 + 0.739442I
a = −0.286635 + 0.922999I
b = 0.176137 + 1.016140I
3.36266 − 2.76080I 0
u = −0.705773 − 0.739442I
a = −0.286635 − 0.922999I
b = 0.176137 − 1.016140I
3.36266 + 2.76080I 0
u = −0.329913 + 0.971134I
a = −0.343444 + 0.272427I
b = −0.383042 + 1.321060I
−3.86381 + 3.18454I 0
u = −0.329913 − 0.971134I
a = −0.343444 − 0.272427I
b = −0.383042 − 1.321060I
−3.86381 − 3.18454I 0
u = 0.351334 + 0.972584I
a = −0.787019 − 1.148740I
b = 0.899896 + 0.284403I
−3.37868 + 1.16334I 0
u = 0.351334 − 0.972584I
a = −0.787019 + 1.148740I
b = 0.899896 − 0.284403I
−3.37868 − 1.16334I 0
u = 0.714434 + 0.645186I
a = 0.772470 + 0.761469I
b = −0.081513 + 1.176680I
5.07712 − 1.16370I 0
u = 0.714434 − 0.645186I
a = 0.772470 − 0.761469I
b = −0.081513 − 1.176680I
5.07712 + 1.16370I 0
u = −0.231944 + 0.924569I
a = 3.02381 + 0.36742I
b = −0.523114 − 1.102980I
−3.44731 − 5.48846I 0
u = −0.231944 − 0.924569I
a = 3.02381 − 0.36742I
b = −0.523114 + 1.102980I
−3.44731 + 5.48846I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.258325 + 1.017820I
a = 1.73059 + 0.81158I
b = −0.824534 − 0.944981I
−10.21390 − 2.58554I 0
u = 0.258325 − 1.017820I
a = 1.73059 − 0.81158I
b = −0.824534 + 0.944981I
−10.21390 + 2.58554I 0
u = 0.858414 + 0.395936I
a = 0.745540 − 0.381485I
b = −0.627590 − 1.085720I
1.49834 − 8.61565I 0
u = 0.858414 − 0.395936I
a = 0.745540 + 0.381485I
b = −0.627590 + 1.085720I
1.49834 + 8.61565I 0
u = 0.916613 + 0.546470I
a = −0.821334 − 0.095251I
b = 0.365381 + 0.906065I
−1.12063 + 1.21435I 0
u = 0.916613 − 0.546470I
a = −0.821334 + 0.095251I
b = 0.365381 − 0.906065I
−1.12063 − 1.21435I 0
u = −0.747457 + 0.557539I
a = −0.203435 + 0.454510I
b = −0.696615 + 1.158500I
−4.76573 + 3.31723I 0
u = −0.747457 − 0.557539I
a = −0.203435 − 0.454510I
b = −0.696615 − 1.158500I
−4.76573 − 3.31723I 0
u = 0.239028 + 0.900459I
a = 3.30663 − 0.84537I
b = −0.479176 + 0.702293I
−5.03356 − 1.35646I 0
u = 0.239028 − 0.900459I
a = 3.30663 + 0.84537I
b = −0.479176 − 0.702293I
−5.03356 + 1.35646I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.240069 + 0.895280I
a = 1.00002 − 1.53176I
b = −1.05559 + 1.02499I
−9.15850 + 2.76252I 0
u = −0.240069 − 0.895280I
a = 1.00002 + 1.53176I
b = −1.05559 − 1.02499I
−9.15850 − 2.76252I 0
u = 0.089015 + 1.069970I
a = 2.00501 − 0.82963I
b = −0.642587 + 0.590143I
−5.03807 − 1.18501I 0
u = 0.089015 − 1.069970I
a = 2.00501 + 0.82963I
b = −0.642587 − 0.590143I
−5.03807 + 1.18501I 0
u = 0.558403 + 0.926828I
a = −1.76060 − 0.08232I
b = 0.675429 − 0.608453I
−2.19993 + 4.47085I 0
u = 0.558403 − 0.926828I
a = −1.76060 + 0.08232I
b = 0.675429 + 0.608453I
−2.19993 − 4.47085I 0
u = −0.871691 + 0.260471I
a = 0.741627 + 0.383723I
b = −0.411096 + 0.971805I
3.01496 + 1.37794I 0
u = −0.871691 − 0.260471I
a = 0.741627 − 0.383723I
b = −0.411096 − 0.971805I
3.01496 − 1.37794I 0
u = −1.025460 + 0.377398I
a = −0.564098 − 0.438983I
b = 0.678901 − 1.117400I
−4.95449 + 12.58240I 0
u = −1.025460 − 0.377398I
a = −0.564098 + 0.438983I
b = 0.678901 + 1.117400I
−4.95449 − 12.58240I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.374909 + 1.031730I
a = 1.81385 − 0.23953I
b = −1.219110 − 0.707738I
−10.09170 − 5.09552I 0
u = −0.374909 − 1.031730I
a = 1.81385 + 0.23953I
b = −1.219110 + 0.707738I
−10.09170 + 5.09552I 0
u = −0.469964 + 1.009150I
a = −2.75594 + 0.93516I
b = 0.571142 + 0.885822I
−2.13464 − 3.79367I 0
u = −0.469964 − 1.009150I
a = −2.75594 − 0.93516I
b = 0.571142 − 0.885822I
−2.13464 + 3.79367I 0
u = −0.459458 + 1.015260I
a = −1.25021 + 1.52465I
b = 0.764541 − 0.702431I
−2.18902 − 2.29239I 0
u = −0.459458 − 1.015260I
a = −1.25021 − 1.52465I
b = 0.764541 + 0.702431I
−2.18902 + 2.29239I 0
u = 0.617454 + 0.927981I
a = −1.83805 − 0.02741I
b = 0.573735 − 0.659494I
−2.20423 + 4.46264I 0
u = 0.617454 − 0.927981I
a = −1.83805 + 0.02741I
b = 0.573735 + 0.659494I
−2.20423 − 4.46264I 0
u = −0.902145 + 0.678839I
a = 0.968996 − 0.567142I
b = −0.427319 − 0.991107I
2.92976 − 4.56971I 0
u = −0.902145 − 0.678839I
a = 0.968996 + 0.567142I
b = −0.427319 + 0.991107I
2.92976 + 4.56971I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.866221
a = −0.446291
b = 0.555077
−2.96518 0
u = −0.361536 + 1.077970I
a = −0.52789 + 1.89034I
b = 0.570408 − 0.819470I
−2.34980 + 0.75723I 0
u = −0.361536 − 1.077970I
a = −0.52789 − 1.89034I
b = 0.570408 + 0.819470I
−2.34980 − 0.75723I 0
u = 0.509217 + 1.017550I
a = −2.17381 − 0.47768I
b = 0.667686 − 1.174370I
−0.79292 + 6.94260I 0
u = 0.509217 − 1.017550I
a = −2.17381 + 0.47768I
b = 0.667686 + 1.174370I
−0.79292 − 6.94260I 0
u = −0.691403 + 0.514811I
a = −1.25150 + 0.77739I
b = 0.006168 + 1.278170I
−0.36102 + 4.39177I 0
u = −0.691403 − 0.514811I
a = −1.25150 − 0.77739I
b = 0.006168 − 1.278170I
−0.36102 − 4.39177I 0
u = 0.701215 + 0.495103I
a = 0.168945 − 1.371970I
b = −0.608392 − 0.848368I
−6.13415 − 4.21080I 0
u = 0.701215 − 0.495103I
a = 0.168945 + 1.371970I
b = −0.608392 + 0.848368I
−6.13415 + 4.21080I 0
u = 0.288449 + 1.106950I
a = 1.74152 − 0.78070I
b = −0.830441 + 0.845995I
−10.49110 + 3.58862I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.288449 − 1.106950I
a = 1.74152 + 0.78070I
b = −0.830441 − 0.845995I
−10.49110 − 3.58862I 0
u = 0.791050 + 0.290357I
a = −0.0096656 + 0.0914946I
b = −0.627317 + 0.835177I
−6.16435 + 0.64877I 0
u = 0.791050 − 0.290357I
a = −0.0096656 − 0.0914946I
b = −0.627317 − 0.835177I
−6.16435 − 0.64877I 0
u = 0.640925 + 0.970256I
a = −0.952201 − 0.306902I
b = 0.031456 − 1.230780I
4.11174 + 6.34724I 0
u = 0.640925 − 0.970256I
a = −0.952201 + 0.306902I
b = 0.031456 + 1.230780I
4.11174 − 6.34724I 0
u = −0.696307 + 0.943100I
a = 1.055160 − 0.358022I
b = 0.074670 − 0.935931I
2.77579 − 2.61080I 0
u = −0.696307 − 0.943100I
a = 1.055160 + 0.358022I
b = 0.074670 + 0.935931I
2.77579 + 2.61080I 0
u = 0.728922 + 0.379907I
a = 0.748906 + 0.117476I
b = −0.782956 + 0.454813I
−0.35138 − 3.30491I 0
u = 0.728922 − 0.379907I
a = 0.748906 − 0.117476I
b = −0.782956 − 0.454813I
−0.35138 + 3.30491I 0
u = 0.105901 + 1.176240I
a = 1.49855 + 1.24140I
b = −0.606359 − 0.958135I
−4.04118 − 6.00278I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.105901 − 1.176240I
a = 1.49855 − 1.24140I
b = −0.606359 + 0.958135I
−4.04118 + 6.00278I 0
u = −0.492372 + 1.085380I
a = 0.669743 − 0.911409I
b = −1.130750 + 0.286966I
−9.19519 − 1.76687I 0
u = −0.492372 − 1.085380I
a = 0.669743 + 0.911409I
b = −1.130750 − 0.286966I
−9.19519 + 1.76687I 0
u = −0.517705 + 1.081110I
a = −2.54078 − 0.14678I
b = 0.688326 + 0.998846I
−1.27095 − 7.82113I 0
u = −0.517705 − 1.081110I
a = −2.54078 + 0.14678I
b = 0.688326 − 0.998846I
−1.27095 + 7.82113I 0
u = −0.575608 + 1.052870I
a = 0.896057 − 0.163750I
b = −0.07154 − 1.42560I
−1.98303 − 9.28780I 0
u = −0.575608 − 1.052870I
a = 0.896057 + 0.163750I
b = −0.07154 + 1.42560I
−1.98303 + 9.28780I 0
u = −0.470355 + 1.104140I
a = 0.763525 − 0.832105I
b = −0.541138 + 0.581415I
−0.88644 − 2.37624I 0
u = −0.470355 − 1.104140I
a = 0.763525 + 0.832105I
b = −0.541138 − 0.581415I
−0.88644 + 2.37624I 0
u = −0.533256 + 0.576591I
a = 0.914165 − 0.006576I
b = −0.461434 + 0.019466I
0.70108 − 1.51175I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.533256 − 0.576591I
a = 0.914165 + 0.006576I
b = −0.461434 − 0.019466I
0.70108 + 1.51175I 0
u = −0.621076 + 1.049160I
a = 1.84968 − 0.66522I
b = −0.77113 − 1.26949I
−6.25573 − 8.53936I 0
u = −0.621076 − 1.049160I
a = 1.84968 + 0.66522I
b = −0.77113 + 1.26949I
−6.25573 + 8.53936I 0
u = 0.592162 + 1.073200I
a = 1.89386 + 1.20517I
b = −0.611923 + 0.979059I
−7.86790 + 9.22687I 0
u = 0.592162 − 1.073200I
a = 1.89386 − 1.20517I
b = −0.611923 − 0.979059I
−7.86790 − 9.22687I 0
u = 0.570164 + 1.095830I
a = 0.81058 + 1.20377I
b = −0.882756 − 0.539962I
−2.43899 + 8.24975I 0
u = 0.570164 − 1.095830I
a = 0.81058 − 1.20377I
b = −0.882756 + 0.539962I
−2.43899 − 8.24975I 0
u = −0.370478 + 0.668170I
a = −0.29411 − 2.07106I
b = 0.374690 − 0.797956I
−0.892851 + 0.115079I 0
u = −0.370478 − 0.668170I
a = −0.29411 + 2.07106I
b = 0.374690 + 0.797956I
−0.892851 − 0.115079I 0
u = −0.810375 + 0.942114I
a = 0.165506 + 0.231306I
b = −0.314195 + 0.878321I
2.16974 − 1.68100I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.810375 − 0.942114I
a = 0.165506 − 0.231306I
b = −0.314195 − 0.878321I
2.16974 + 1.68100I 0
u = 0.615011 + 1.116350I
a = −0.144426 + 0.131559I
b = 0.255605 + 1.106080I
−2.84279 + 2.14300I 0
u = 0.615011 − 1.116350I
a = −0.144426 − 0.131559I
b = 0.255605 − 1.106080I
−2.84279 − 2.14300I 0
u = 0.539143 + 1.157740I
a = −0.042418 + 1.071320I
b = −0.626586 − 0.682530I
−8.78501 + 4.33771I 0
u = 0.539143 − 1.157740I
a = −0.042418 − 1.071320I
b = −0.626586 + 0.682530I
−8.78501 − 4.33771I 0
u = 0.616786 + 1.137340I
a = 2.24511 + 0.32075I
b = −0.690174 + 1.098460I
−0.73986 + 14.07480I 0
u = 0.616786 − 1.137340I
a = 2.24511 − 0.32075I
b = −0.690174 − 1.098460I
−0.73986 − 14.07480I 0
u = −0.323042 + 0.627098I
a = −0.925771 − 0.809944I
b = 0.651931 + 0.496098I
−0.80321 − 1.29269I −2.67927 + 0.87370I
u = −0.323042 − 0.627098I
a = −0.925771 + 0.809944I
b = 0.651931 − 0.496098I
−0.80321 + 1.29269I −2.67927 − 0.87370I
u = 0.372791 + 0.585465I
a = 0.447201 + 0.514604I
b = 0.487339 + 1.145380I
0.64595 − 2.94432I 0. + 8.83688I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.372791 − 0.585465I
a = 0.447201 − 0.514604I
b = 0.487339 − 1.145380I
0.64595 + 2.94432I 0. − 8.83688I
u = −0.606887 + 0.285351I
a = −0.345643 − 0.956577I
b = −0.871530 − 0.454628I
−6.91517 − 2.52197I −8.68978 + 3.47413I
u = −0.606887 − 0.285351I
a = −0.345643 + 0.956577I
b = −0.871530 + 0.454628I
−6.91517 + 2.52197I −8.68978 − 3.47413I
u = 0.358438 + 1.286130I
a = −0.364922 − 0.945708I
b = 0.083963 + 0.568905I
−6.92560 + 5.09330I 0
u = 0.358438 − 1.286130I
a = −0.364922 + 0.945708I
b = 0.083963 − 0.568905I
−6.92560 − 5.09330I 0
u = −0.609367 + 1.192060I
a = −0.774781 + 0.973689I
b = 1.018530 − 0.507822I
−9.5641 − 12.3799I 0
u = −0.609367 − 1.192060I
a = −0.774781 − 0.973689I
b = 1.018530 + 0.507822I
−9.5641 + 12.3799I 0
u = −0.626882 + 1.184420I
a = 1.90715 − 0.20602I
b = −0.567563 − 0.989577I
0.28928 − 6.92050I 0
u = −0.626882 − 1.184420I
a = 1.90715 + 0.20602I
b = −0.567563 + 0.989577I
0.28928 + 6.92050I 0
u = 0.502367 + 1.268190I
a = −0.789619 − 0.596944I
b = 0.575556 + 0.246516I
−6.70595 + 4.89695I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.502367 − 1.268190I
a = −0.789619 + 0.596944I
b = 0.575556 − 0.246516I
−6.70595 − 4.89695I 0
u = −0.193788 + 1.351610I
a = −1.58534 − 0.14931I
b = 0.835875 + 0.692216I
−12.48920 + 2.90514I 0
u = −0.193788 − 1.351610I
a = −1.58534 + 0.14931I
b = 0.835875 − 0.692216I
−12.48920 − 2.90514I 0
u = −0.665699 + 1.206130I
a = −1.97244 + 0.41295I
b = 0.720974 + 1.160140I
−7.5275 − 18.6698I 0
u = −0.665699 − 1.206130I
a = −1.97244 − 0.41295I
b = 0.720974 − 1.160140I
−7.5275 + 18.6698I 0
u = 1.089050 + 0.844090I
a = −0.842771 − 0.547486I
b = 0.544009 − 0.908851I
−2.09369 + 5.86549I 0
u = 1.089050 − 0.844090I
a = −0.842771 + 0.547486I
b = 0.544009 + 0.908851I
−2.09369 − 5.86549I 0
u = −0.509886 + 0.351299I
a = −1.295680 + 0.083875I
b = 0.575380 − 1.033100I
0.79323 + 3.49998I −1.09612 − 4.57017I
u = −0.509886 − 0.351299I
a = −1.295680 − 0.083875I
b = 0.575380 + 1.033100I
0.79323 − 3.49998I −1.09612 + 4.57017I
u = 1.016000 + 0.955052I
a = −0.233794 + 0.189578I
b = 0.530387 + 0.809060I
−2.43556 + 1.53810I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.016000 − 0.955052I
a = −0.233794 − 0.189578I
b = 0.530387 − 0.809060I
−2.43556 − 1.53810I 0
u = −0.10341 + 1.42839I
a = −1.176410 + 0.683833I
b = 0.711469 − 0.999931I
−11.5325 + 8.6746I 0
u = −0.10341 − 1.42839I
a = −1.176410 − 0.683833I
b = 0.711469 + 0.999931I
−11.5325 − 8.6746I 0
u = 0.61193 + 1.35491I
a = −1.77935 − 0.21805I
b = 0.536311 − 1.072890I
−4.59556 + 9.31322I 0
u = 0.61193 − 1.35491I
a = −1.77935 + 0.21805I
b = 0.536311 + 1.072890I
−4.59556 − 9.31322I 0
u = 0.223062 + 0.183498I
a = 0.803407 − 1.120730I
b = 0.564147 + 0.516994I
−1.02409 − 1.01552I −4.82080 + 3.50462I
u = 0.223062 − 0.183498I
a = 0.803407 + 1.120730I
b = 0.564147 − 0.516994I
−1.02409 + 1.01552I −4.82080 − 3.50462I
u = 0.204959 + 0.056413I
a = −1.47844 − 2.95654I
b = 0.491017 − 1.051110I
0.62160 + 3.21174I −3.55740 − 5.10904I
u = 0.204959 − 0.056413I
a = −1.47844 + 2.95654I
b = 0.491017 + 1.051110I
0.62160 − 3.21174I −3.55740 + 5.10904I
17
II.
I
u
2
= h5u
27
+6u
26
+· · ·+b+2, 6u
27
+19u
26
+· · ·+a +23, u
28
+2u
27
+· · ·+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
1
=
u
3
u
5
+ u
3
+ u
a
12
=
−6u
27
− 19u
26
+ ··· − 49u − 23
−5u
27
− 6u
26
+ ··· − 19u − 2
a
11
=
−11u
27
− 25u
26
+ ··· − 68u − 25
−5u
27
− 6u
26
+ ··· − 19u − 2
a
8
=
19u
27
+ 28u
26
+ ··· + 42u + 1
10u
27
+ 16u
26
+ ··· + 11u
2
+ 10u
a
4
=
4u
27
+ 7u
26
+ ··· + 21u − 2
3u
27
+ 4u
26
+ ··· + 6u − 5
a
10
=
−6u
27
− 9u
26
+ ··· − 40u − 12
−10u
27
− 20u
26
+ ··· − 30u − 10
a
5
=
8u
27
+ 14u
26
+ ··· + 12u − 7
−5u
27
− 10u
26
+ ··· − 10u − 6
a
9
=
−9u
27
− 18u
26
+ ··· − 51u − 18
−11u
27
− 19u
26
+ ··· − 35u − 9
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −16u
27
−21u
26
−108u
25
−109u
24
−392u
23
−343u
22
−1001u
21
−727u
20
−1932u
19
−
1153u
18
− 2951u
17
− 1354u
16
− 3598u
15
− 1159u
14
− 3561u
13
− 588u
12
− 2808u
11
+
3u
10
− 1706u
9
+ 304u
8
− 717u
7
+ 265u
6
− 196u
5
+ 135u
4
− 29u
3
+ 38u
2
− 7u + 1
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
28
− 14u
27
+ ··· − 18u + 1
c
2
u
28
− 2u
27
+ ··· − 2u + 1
c
3
, c
4
u
28
− 15u
26
+ ··· − 8u
2
+ 1
c
5
u
28
+ 3u
26
+ ··· + u
3
+ 1
c
6
u
28
+ 2u
27
+ ··· + 2u + 1
c
7
u
28
+ 2u
27
+ ··· + 8u
2
+ 1
c
8
u
28
− 15u
26
+ ··· − 8u
2
+ 1
c
9
u
28
− 2u
26
+ ··· − 2u + 1
c
10
u
28
+ 14u
27
+ ··· + 16u + 1
c
11
u
28
− 2u
27
+ ··· + 8u
2
+ 1
c
12
u
28
+ 8u
26
+ ··· + 6u
2
+ 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
28
+ 14y
27
+ ··· + 6y + 1
c
2
, c
6
y
28
+ 14y
27
+ ··· + 18y + 1
c
3
, c
4
, c
8
y
28
− 30y
27
+ ··· − 16y + 1
c
5
y
28
+ 6y
27
+ ··· − 4y
2
+ 1
c
7
, c
11
y
28
+ 14y
27
+ ··· + 16y + 1
c
9
y
28
− 4y
27
+ ··· − 2y + 1
c
10
y
28
+ 14y
27
+ ··· + 12y + 1
c
12
y
28
+ 16y
27
+ ··· + 12y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.338295 + 0.982724I
a = −0.85400 − 1.71203I
b = 0.661211 + 0.579974I
−2.35419 + 0.79590I −6.74955 − 0.54227I
u = 0.338295 − 0.982724I
a = −0.85400 + 1.71203I
b = 0.661211 − 0.579974I
−2.35419 − 0.79590I −6.74955 + 0.54227I
u = −0.311703 + 1.005530I
a = 1.59310 + 0.21486I
b = −1.002200 − 0.750626I
−9.49849 − 4.82659I −4.87059 + 5.88051I
u = −0.311703 − 1.005530I
a = 1.59310 − 0.21486I
b = −1.002200 + 0.750626I
−9.49849 + 4.82659I −4.87059 − 5.88051I
u = 0.748787 + 0.780708I
a = −0.760147 − 0.655940I
b = 0.368859 − 0.963619I
2.21136 + 4.34742I −3.77299 − 6.91155I
u = 0.748787 − 0.780708I
a = −0.760147 + 0.655940I
b = 0.368859 + 0.963619I
2.21136 − 4.34742I −3.77299 + 6.91155I
u = −0.271900 + 0.868587I
a = 1.32288 − 1.48564I
b = −1.005880 + 0.954842I
−8.93888 + 2.42349I −3.09520 + 7.00916I
u = −0.271900 − 0.868587I
a = 1.32288 + 1.48564I
b = −1.005880 − 0.954842I
−8.93888 − 2.42349I −3.09520 − 7.00916I
u = 0.252848 + 0.834812I
a = 0.318127 + 0.104599I
b = 0.434615 − 0.500924I
−1.71066 + 1.72195I −10.05879 − 3.65799I
u = 0.252848 − 0.834812I
a = 0.318127 − 0.104599I
b = 0.434615 + 0.500924I
−1.71066 − 1.72195I −10.05879 + 3.65799I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.479787 + 1.049630I
a = −2.33747 − 0.16885I
b = 0.648811 − 1.032330I
−0.94017 + 5.99394I −4.61809 − 4.80792I
u = 0.479787 − 1.049630I
a = −2.33747 + 0.16885I
b = 0.648811 + 1.032330I
−0.94017 − 5.99394I −4.61809 + 4.80792I
u = −0.927320 + 0.728921I
a = 1.40336 − 0.28526I
b = −0.321464 − 0.991796I
−0.59165 − 4.68378I 1.14535 + 6.94573I
u = −0.927320 − 0.728921I
a = 1.40336 + 0.28526I
b = −0.321464 + 0.991796I
−0.59165 + 4.68378I 1.14535 − 6.94573I
u = 0.763017 + 0.924311I
a = 0.145164 + 0.295275I
b = 0.337314 + 0.853341I
1.77035 + 1.41738I −6.72948 + 3.48875I
u = 0.763017 − 0.924311I
a = 0.145164 − 0.295275I
b = 0.337314 − 0.853341I
1.77035 − 1.41738I −6.72948 − 3.48875I
u = 0.376444 + 0.688852I
a = −0.303359 + 0.546482I
b = 0.511015 + 1.112470I
0.44796 − 2.37280I −5.03540 − 4.05151I
u = 0.376444 − 0.688852I
a = −0.303359 − 0.546482I
b = 0.511015 − 1.112470I
0.44796 + 2.37280I −5.03540 + 4.05151I
u = −0.384419 + 1.224850I
a = 0.161240 − 1.392820I
b = −0.299827 + 0.578091I
−7.20024 − 4.54868I −9.05627 − 1.18724I
u = −0.384419 − 1.224850I
a = 0.161240 + 1.392820I
b = −0.299827 − 0.578091I
−7.20024 + 4.54868I −9.05627 + 1.18724I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.570843 + 1.161980I
a = 1.81887 − 0.57104I
b = −0.537498 − 1.157070I
−4.82149 − 8.24857I −5.33009 + 5.70743I
u = −0.570843 − 1.161980I
a = 1.81887 + 0.57104I
b = −0.537498 + 1.157070I
−4.82149 + 8.24857I −5.33009 − 5.70743I
u = −0.951735 + 0.899311I
a = 0.705204 + 0.226408I
b = −0.287015 + 0.875709I
−1.06551 − 2.18161I 1.91473 + 5.67475I
u = −0.951735 − 0.899311I
a = 0.705204 − 0.226408I
b = −0.287015 − 0.875709I
−1.06551 + 2.18161I 1.91473 − 5.67475I
u = −0.355875 + 0.540002I
a = −1.78309 + 1.56063I
b = −0.355638 + 1.159850I
−2.38557 + 4.17450I −2.76448 − 3.64055I
u = −0.355875 − 0.540002I
a = −1.78309 − 1.56063I
b = −0.355638 − 1.159850I
−2.38557 − 4.17450I −2.76448 + 3.64055I
u = −0.185381 + 0.560551I
a = −3.42988 − 1.46409I
b = −0.152301 − 0.705085I
−4.40124 + 1.97633I −2.97917 − 2.93673I
u = −0.185381 − 0.560551I
a = −3.42988 + 1.46409I
b = −0.152301 + 0.705085I
−4.40124 − 1.97633I −2.97917 + 2.93673I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
28
− 14u
27
+ ··· − 18u + 1)(u
129
+ 61u
128
+ ··· + 2857u − 169)
c
2
(u
28
− 2u
27
+ ··· − 2u + 1)(u
129
+ u
128
+ ··· + 137u + 13)
c
3
, c
4
(u
28
− 15u
26
+ ··· − 8u
2
+ 1)(u
129
− u
128
+ ··· − 35u + 1)
c
5
(u
28
+ 3u
26
+ ··· + u
3
+ 1)(u
129
+ u
128
+ ··· − 17u + 3)
c
6
(u
28
+ 2u
27
+ ··· + 2u + 1)(u
129
+ u
128
+ ··· + 137u + 13)
c
7
(u
28
+ 2u
27
+ ··· + 8u
2
+ 1)(u
129
− u
128
+ ··· + 1041u + 391)
c
8
(u
28
− 15u
26
+ ··· − 8u
2
+ 1)(u
129
− u
128
+ ··· − 35u + 1)
c
9
(u
28
− 2u
26
+ ··· − 2u + 1)(u
129
− 11u
128
+ ··· − 2772u − 1336)
c
10
(u
28
+ 14u
27
+ ··· + 16u + 1)
· (u
129
− 53u
128
+ ··· − 3530901u + 152881)
c
11
(u
28
− 2u
27
+ ··· + 8u
2
+ 1)(u
129
− u
128
+ ··· + 1041u + 391)
c
12
(u
28
+ 8u
26
+ ··· + 6u
2
+ 1)(u
129
− 5u
128
+ ··· + 87185u + 62623)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
28
+ 14y
27
+ ··· + 6y + 1)(y
129
+ 29y
128
+ ··· + 4737157y −28561)
c
2
, c
6
(y
28
+ 14y
27
+ ··· + 18y + 1)(y
129
+ 61y
128
+ ··· + 2857y −169)
c
3
, c
4
, c
8
(y
28
− 30y
27
+ ··· − 16y + 1)(y
129
− 131y
128
+ ··· + 111y −1)
c
5
(y
28
+ 6y
27
+ ··· − 4y
2
+ 1)(y
129
+ 9y
128
+ ··· − 293y −9)
c
7
, c
11
(y
28
+ 14y
27
+ ··· + 16y + 1)
· (y
129
+ 53y
128
+ ··· − 3530901y −152881)
c
9
(y
28
− 4y
27
+ ··· − 2y + 1)
· (y
129
− 25y
128
+ ··· + 84295568y −1784896)
c
10
(y
28
+ 14y
27
+ ··· + 12y + 1)
· (y
129
+ 61y
128
+ ··· + 863028617863y −23372600161)
c
12
(y
28
+ 16y
27
+ ··· + 12y + 1)
· (y
129
+ 47y
128
+ ··· − 202889332557y −3921640129)
25
