12a
0319
(K12a
0319
)
A knot diagram
1
Linearized knot diagam
3 6 8 11 2 10 4 12 1 5 7 9
Solving Sequence
8,12
9 1
4,10
3 7 6 2 11 5
c
8
c
12
c
9
c
3
c
7
c
6
c
2
c
11
c
4
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h3.23946 × 10
261
u
112
− 2.19296 × 10
262
u
111
+ ··· + 7.08037 × 10
259
b + 1.92330 × 10
263
,
2.70622 × 10
262
u
112
− 1.87120 × 10
263
u
111
+ ··· + 5.16867 × 10
261
a + 1.72060 × 10
264
,
u
113
− 8u
112
+ ··· − 191u − 73i
I
u
2
= h−9u
21
+ 23u
20
+ ··· + b + 5, 10u
21
− 23u
20
+ ··· + a − 8, u
22
− u
21
+ ··· − 5u − 1i
* 2 irreducible components of dim
C
= 0, with total 135 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
= h3.24 × 10
261
u
112
− 2.19 × 10
262
u
111
+ · · · + 7.08 × 10
259
b + 1.92 ×
10
263
, 2.71 × 10
262
u
112
− 1.87 × 10
263
u
111
+ · · · + 5.17 × 10
261
a + 1.72 ×
10
264
, u
113
− 8u
112
+ · · · − 191u − 73i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
9
=
1
u
2
a
1
=
−u
−u
3
+ u
a
4
=
−5.23581u
112
+ 36.2026u
111
+ ··· − 1165.75u − 332.890
−45.7527u
112
+ 309.724u
111
+ ··· − 9315.33u − 2716.38
a
10
=
−u
2
+ 1
−u
4
+ 2u
2
a
3
=
−50.9886u
112
+ 345.927u
111
+ ··· − 10481.1u − 3049.27
−45.7527u
112
+ 309.724u
111
+ ··· − 9315.33u − 2716.38
a
7
=
22.5547u
112
− 150.445u
111
+ ··· + 4155.12u + 1233.81
55.5418u
112
− 373.123u
111
+ ··· + 10722.4u + 3159.25
a
6
=
53.6085u
112
− 358.658u
111
+ ··· + 10074.6u + 2982.05
31.1098u
112
− 209.344u
111
+ ··· + 6063.36u + 1783.81
a
2
=
49.0069u
112
− 325.058u
111
+ ··· + 8714.16u + 2609.75
2.59511u
112
− 18.1179u
111
+ ··· + 624.353u + 175.782
a
11
=
−3.49460u
112
+ 18.8084u
111
+ ··· + 151.028u + 1.84444
13.5515u
112
− 89.8960u
111
+ ··· + 2439.20u + 726.982
a
5
=
47.0830u
112
− 316.127u
111
+ ··· + 9059.41u + 2671.49
−22.4658u
112
+ 148.377u
111
+ ··· − 3832.59u − 1156.94
(ii) Obstruction class = −1
(iii) Cusp Shapes = 100.962u
112
− 690.513u
111
+ ··· + 21787.1u + 6280.51
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
113
+ 47u
112
+ ··· + 10403u + 169
c
2
, c
5
u
113
+ 3u
112
+ ··· − 69u + 13
c
3
, c
7
u
113
+ 2u
112
+ ··· + 12910u + 3551
c
4
, c
10
u
113
− u
112
+ ··· + 14u + 1
c
6
u
113
+ 8u
112
+ ··· − 3489u + 907
c
8
, c
9
, c
12
u
113
+ 8u
112
+ ··· − 191u + 73
c
11
u
113
− 2u
112
+ ··· + 277357u + 17593
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
113
+ 49y
112
+ ··· + 6847759y −28561
c
2
, c
5
y
113
− 47y
112
+ ··· + 10403y −169
c
3
, c
7
y
113
+ 80y
112
+ ··· + 236395536y −12609601
c
4
, c
10
y
113
+ 95y
112
+ ··· − 80y −1
c
6
y
113
+ 18y
112
+ ··· − 6476613y −822649
c
8
, c
9
, c
12
y
113
− 114y
112
+ ··· + 78383y −5329
c
11
y
113
+ 26y
112
+ ··· − 9594272227y −309513649
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.975525 + 0.343770I
a = −0.014156 − 0.379417I
b = −0.365622 + 0.526024I
−2.11411 + 1.42439I 0
u = 0.975525 − 0.343770I
a = −0.014156 + 0.379417I
b = −0.365622 − 0.526024I
−2.11411 − 1.42439I 0
u = −0.373774 + 0.872219I
a = −0.26773 − 1.92598I
b = −0.42020 + 1.35322I
8.67189 + 7.43141I 0
u = −0.373774 − 0.872219I
a = −0.26773 + 1.92598I
b = −0.42020 − 1.35322I
8.67189 − 7.43141I 0
u = −0.485419 + 0.943283I
a = 0.36391 + 1.70023I
b = 0.46917 − 1.37400I
7.1075 + 13.2548I 0
u = −0.485419 − 0.943283I
a = 0.36391 − 1.70023I
b = 0.46917 + 1.37400I
7.1075 − 13.2548I 0
u = 0.156511 + 0.903103I
a = −0.00785 − 1.68319I
b = 0.271493 + 1.096840I
2.61440 − 2.49523I 0
u = 0.156511 − 0.903103I
a = −0.00785 + 1.68319I
b = 0.271493 − 1.096840I
2.61440 + 2.49523I 0
u = 0.968058 + 0.543641I
a = −0.85420 + 1.31106I
b = −0.292289 − 0.886916I
−1.31892 − 1.43456I 0
u = 0.968058 − 0.543641I
a = −0.85420 − 1.31106I
b = −0.292289 + 0.886916I
−1.31892 + 1.43456I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.113700 + 0.087974I
a = 1.149820 + 0.422809I
b = 0.86338 − 1.17671I
0.97417 + 5.88587I 0
u = −1.113700 − 0.087974I
a = 1.149820 − 0.422809I
b = 0.86338 + 1.17671I
0.97417 − 5.88587I 0
u = 0.333656 + 1.095240I
a = −0.18854 + 1.49901I
b = −0.348286 − 1.040250I
1.09765 − 7.03753I 0
u = 0.333656 − 1.095240I
a = −0.18854 − 1.49901I
b = −0.348286 + 1.040250I
1.09765 + 7.03753I 0
u = −0.864544 + 0.773774I
a = 0.794215 + 1.007200I
b = −0.230925 − 1.207430I
7.29213 − 1.91889I 0
u = −0.864544 − 0.773774I
a = 0.794215 − 1.007200I
b = −0.230925 + 1.207430I
7.29213 + 1.91889I 0
u = −0.207224 + 0.808964I
a = −0.41108 − 1.57012I
b = 0.330697 + 1.230060I
3.15474 − 2.44549I 0
u = −0.207224 − 0.808964I
a = −0.41108 + 1.57012I
b = 0.330697 − 1.230060I
3.15474 + 2.44549I 0
u = 1.223500 + 0.011288I
a = −0.022574 + 0.318563I
b = −0.17684 − 2.01220I
4.49179 − 3.00890I 0
u = 1.223500 − 0.011288I
a = −0.022574 − 0.318563I
b = −0.17684 + 2.01220I
4.49179 + 3.00890I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.778711 + 0.951012I
a = −0.625337 − 1.042850I
b = 0.270860 + 1.248840I
6.35326 − 7.05913I 0
u = −0.778711 − 0.951012I
a = −0.625337 + 1.042850I
b = 0.270860 − 1.248840I
6.35326 + 7.05913I 0
u = −1.248140 + 0.059474I
a = 0.234772 + 1.097040I
b = 0.17298 − 1.50301I
0.52000 + 3.23792I 0
u = −1.248140 − 0.059474I
a = 0.234772 − 1.097040I
b = 0.17298 + 1.50301I
0.52000 − 3.23792I 0
u = 0.433114 + 0.608112I
a = 0.028879 − 0.629520I
b = −0.609339 + 0.178091I
−1.27678 − 3.46304I 0
u = 0.433114 − 0.608112I
a = 0.028879 + 0.629520I
b = −0.609339 − 0.178091I
−1.27678 + 3.46304I 0
u = 0.656590 + 0.313091I
a = −1.38222 + 1.74805I
b = −0.244826 − 0.839883I
−1.37943 − 1.39614I 0
u = 0.656590 − 0.313091I
a = −1.38222 − 1.74805I
b = −0.244826 + 0.839883I
−1.37943 + 1.39614I 0
u = −1.286140 + 0.038835I
a = −1.65307 + 1.17796I
b = −0.065458 − 0.916646I
−0.76391 + 6.11009I 0
u = −1.286140 − 0.038835I
a = −1.65307 − 1.17796I
b = −0.065458 + 0.916646I
−0.76391 − 6.11009I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.284900 + 0.078456I
a = −0.70832 + 2.15278I
b = −0.157497 − 1.404070I
4.08065 − 4.21507I 0
u = 1.284900 − 0.078456I
a = −0.70832 − 2.15278I
b = −0.157497 + 1.404070I
4.08065 + 4.21507I 0
u = 1.260290 + 0.295141I
a = −0.740145 + 0.650307I
b = −0.318857 − 1.008720I
−1.06984 − 1.80120I 0
u = 1.260290 − 0.295141I
a = −0.740145 − 0.650307I
b = −0.318857 + 1.008720I
−1.06984 + 1.80120I 0
u = 1.296470 + 0.038259I
a = 1.35156 + 0.46060I
b = 0.535281 − 0.867776I
−3.88087 − 1.65713I 0
u = 1.296470 − 0.038259I
a = 1.35156 − 0.46060I
b = 0.535281 + 0.867776I
−3.88087 + 1.65713I 0
u = −1.307720 + 0.013959I
a = −0.972701 + 0.271024I
b = −1.01921 − 1.20757I
0.89650 − 2.18592I 0
u = −1.307720 − 0.013959I
a = −0.972701 − 0.271024I
b = −1.01921 + 1.20757I
0.89650 + 2.18592I 0
u = 1.290090 + 0.230697I
a = −0.979250 + 0.508289I
b = −0.427447 − 0.996014I
−1.12305 − 1.91262I 0
u = 1.290090 − 0.230697I
a = −0.979250 − 0.508289I
b = −0.427447 + 0.996014I
−1.12305 + 1.91262I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.305330 + 0.149159I
a = 1.78259 + 0.55086I
b = 0.010684 − 0.999271I
3.25522 + 0.04146I 0
u = −1.305330 − 0.149159I
a = 1.78259 − 0.55086I
b = 0.010684 + 0.999271I
3.25522 − 0.04146I 0
u = −0.347724 + 0.586819I
a = −0.333304 + 0.035629I
b = 1.122950 − 0.208901I
2.20924 + 7.86227I 0
u = −0.347724 − 0.586819I
a = −0.333304 − 0.035629I
b = 1.122950 + 0.208901I
2.20924 − 7.86227I 0
u = 0.247843 + 0.629558I
a = 0.25253 − 1.62717I
b = 0.48616 + 1.53859I
6.58164 + 0.99842I −12.00000 + 0.I
u = 0.247843 − 0.629558I
a = 0.25253 + 1.62717I
b = 0.48616 − 1.53859I
6.58164 − 0.99842I −12.00000 + 0.I
u = 0.437621 + 0.466675I
a = −2.33498 + 0.42775I
b = 0.041597 − 1.270910I
5.73774 − 4.28699I −7.05414 + 7.47196I
u = 0.437621 − 0.466675I
a = −2.33498 − 0.42775I
b = 0.041597 + 1.270910I
5.73774 + 4.28699I −7.05414 − 7.47196I
u = −0.487973 + 0.412211I
a = −0.077880 + 0.628379I
b = 0.859901 + 0.154819I
−1.41996 + 1.43991I −14.1213 − 4.7302I
u = −0.487973 − 0.412211I
a = −0.077880 − 0.628379I
b = 0.859901 − 0.154819I
−1.41996 − 1.43991I −14.1213 + 4.7302I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.369370 + 0.020352I
a = −0.172640 − 0.430954I
b = −0.543471 + 0.516438I
−1.93217 + 1.98337I 0
u = 1.369370 − 0.020352I
a = −0.172640 + 0.430954I
b = −0.543471 − 0.516438I
−1.93217 − 1.98337I 0
u = −0.474494 + 0.403935I
a = 1.86778 + 2.26063I
b = 0.458372 − 1.138950I
1.58848 + 6.19220I −12.6737 − 8.9348I
u = −0.474494 − 0.403935I
a = 1.86778 − 2.26063I
b = 0.458372 + 1.138950I
1.58848 − 6.19220I −12.6737 + 8.9348I
u = −0.374258 + 0.493118I
a = 0.95129 − 1.21092I
b = −0.378161 + 0.034177I
3.77539 + 0.34718I −7.42485 − 3.96458I
u = −0.374258 − 0.493118I
a = 0.95129 + 1.21092I
b = −0.378161 − 0.034177I
3.77539 − 0.34718I −7.42485 + 3.96458I
u = −0.159935 + 0.594286I
a = −0.93341 − 1.71005I
b = −0.079665 + 1.194920I
3.39551 − 1.15967I −5.79218 + 3.05199I
u = −0.159935 − 0.594286I
a = −0.93341 + 1.71005I
b = −0.079665 − 1.194920I
3.39551 + 1.15967I −5.79218 − 3.05199I
u = −1.373130 + 0.259161I
a = 0.831528 + 0.432014I
b = 0.95042 − 1.39994I
1.45927 + 2.27600I 0
u = −1.373130 − 0.259161I
a = 0.831528 − 0.432014I
b = 0.95042 + 1.39994I
1.45927 − 2.27600I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.404600 + 0.140162I
a = 0.260271 + 0.025626I
b = 1.005960 + 0.221517I
−5.62291 + 1.41549I 0
u = −1.404600 − 0.140162I
a = 0.260271 − 0.025626I
b = 1.005960 − 0.221517I
−5.62291 − 1.41549I 0
u = −0.383749 + 0.445783I
a = 1.38035 + 1.04092I
b = 0.335426 − 1.162020I
2.45026 + 3.90445I −6.44576 − 2.61691I
u = −0.383749 − 0.445783I
a = 1.38035 − 1.04092I
b = 0.335426 + 1.162020I
2.45026 − 3.90445I −6.44576 + 2.61691I
u = −0.239713 + 0.535309I
a = −1.22212 + 1.64034I
b = 0.213848 + 0.120182I
2.18768 − 4.74508I −10.37642 + 0.76774I
u = −0.239713 − 0.535309I
a = −1.22212 − 1.64034I
b = 0.213848 − 0.120182I
2.18768 + 4.74508I −10.37642 − 0.76774I
u = −0.337117 + 0.471029I
a = 0.661155 − 0.131613I
b = −0.928411 + 0.301402I
3.71740 + 2.72095I −7.71498 − 4.87286I
u = −0.337117 − 0.471029I
a = 0.661155 + 0.131613I
b = −0.928411 − 0.301402I
3.71740 − 2.72095I −7.71498 + 4.87286I
u = 1.41197 + 0.18152I
a = −0.346112 + 0.294720I
b = −1.352470 − 0.058009I
−1.83782 − 5.16732I 0
u = 1.41197 − 0.18152I
a = −0.346112 − 0.294720I
b = −1.352470 + 0.058009I
−1.83782 + 5.16732I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.44030 + 0.16888I
a = −0.836059 − 0.359382I
b = −1.02401 + 1.36719I
1.25755 + 6.47322I 0
u = −1.44030 − 0.16888I
a = −0.836059 + 0.359382I
b = −1.02401 − 1.36719I
1.25755 − 6.47322I 0
u = 1.44234 + 0.22727I
a = 0.370654 − 0.260708I
b = 1.45383 − 0.10554I
−3.56727 − 10.87880I 0
u = 1.44234 − 0.22727I
a = 0.370654 + 0.260708I
b = 1.45383 + 0.10554I
−3.56727 + 10.87880I 0
u = −1.42088 + 0.34291I
a = 0.810308 + 1.010290I
b = 0.549077 − 1.209210I
−2.53431 + 6.92079I 0
u = −1.42088 − 0.34291I
a = 0.810308 − 1.010290I
b = 0.549077 + 1.209210I
−2.53431 − 6.92079I 0
u = 1.45964 + 0.18053I
a = 1.041130 − 0.183211I
b = 0.569702 + 0.993657I
−3.55249 − 6.29900I 0
u = 1.45964 − 0.18053I
a = 1.041130 + 0.183211I
b = 0.569702 − 0.993657I
−3.55249 + 6.29900I 0
u = 1.46531 + 0.18133I
a = 1.30433 − 1.03874I
b = 0.507458 + 1.266340I
−4.63950 − 8.54288I 0
u = 1.46531 − 0.18133I
a = 1.30433 + 1.03874I
b = 0.507458 − 1.266340I
−4.63950 + 8.54288I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.46819 + 0.18027I
a = −1.45890 + 0.23517I
b = −0.070028 + 1.011290I
−0.43130 + 6.73555I 0
u = −1.46819 − 0.18027I
a = −1.45890 − 0.23517I
b = −0.070028 − 1.011290I
−0.43130 − 6.73555I 0
u = 0.289781 + 0.429902I
a = −0.64968 + 1.76717I
b = −0.62464 − 1.51753I
6.92171 − 4.22400I −4.15858 + 8.77688I
u = 0.289781 − 0.429902I
a = −0.64968 − 1.76717I
b = −0.62464 + 1.51753I
6.92171 + 4.22400I −4.15858 − 8.77688I
u = −1.46562 + 0.23557I
a = −0.259206 − 0.035445I
b = −0.992562 − 0.369481I
−7.38904 + 6.61296I 0
u = −1.46562 − 0.23557I
a = −0.259206 + 0.035445I
b = −0.992562 + 0.369481I
−7.38904 − 6.61296I 0
u = −1.47432 + 0.19366I
a = −0.846841 − 1.117710I
b = −0.440021 + 1.145260I
−7.94835 + 3.87685I 0
u = −1.47432 − 0.19366I
a = −0.846841 + 1.117710I
b = −0.440021 − 1.145260I
−7.94835 − 3.87685I 0
u = 0.095068 + 0.501846I
a = 2.34187 − 3.16314I
b = −0.175916 + 1.238840I
7.57611 + 2.36095I 1.28578 − 1.07524I
u = 0.095068 − 0.501846I
a = 2.34187 + 3.16314I
b = −0.175916 − 1.238840I
7.57611 − 2.36095I 1.28578 + 1.07524I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.49752 + 0.09934I
a = 0.460213 − 0.381643I
b = 0.979596 − 0.220843I
−8.01183 − 3.20810I 0
u = 1.49752 − 0.09934I
a = 0.460213 + 0.381643I
b = 0.979596 + 0.220843I
−8.01183 + 3.20810I 0
u = 1.46984 + 0.32887I
a = −0.964403 + 1.011600I
b = −0.59155 − 1.41586I
2.76721 − 11.75190I 0
u = 1.46984 − 0.32887I
a = −0.964403 − 1.011600I
b = −0.59155 + 1.41586I
2.76721 + 11.75190I 0
u = 1.40529 + 0.63509I
a = 0.530354 − 1.153880I
b = 0.244714 + 0.870612I
−2.54902 − 4.87687I 0
u = 1.40529 − 0.63509I
a = 0.530354 + 1.153880I
b = 0.244714 − 0.870612I
−2.54902 + 4.87687I 0
u = −1.50400 + 0.39257I
a = −0.839195 − 0.995514I
b = −0.583955 + 1.164530I
−4.85144 + 12.24700I 0
u = −1.50400 − 0.39257I
a = −0.839195 + 0.995514I
b = −0.583955 − 1.164530I
−4.85144 − 12.24700I 0
u = 1.54260 + 0.27953I
a = 0.290487 − 0.954752I
b = 0.140916 + 0.940361I
−3.00503 + 1.08144I 0
u = 1.54260 − 0.27953I
a = 0.290487 + 0.954752I
b = 0.140916 − 0.940361I
−3.00503 − 1.08144I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.52947 + 0.35191I
a = 0.945790 − 0.924476I
b = 0.64869 + 1.40966I
0.6370 − 17.9551I 0
u = 1.52947 − 0.35191I
a = 0.945790 + 0.924476I
b = 0.64869 − 1.40966I
0.6370 + 17.9551I 0
u = 0.116869 + 0.408252I
a = −0.182161 + 1.077640I
b = 0.532481 + 0.072693I
−0.543296 + 0.399156I −13.17949 + 1.12118I
u = 0.116869 − 0.408252I
a = −0.182161 − 1.077640I
b = 0.532481 − 0.072693I
−0.543296 − 0.399156I −13.17949 − 1.12118I
u = 1.57011 + 0.25302I
a = 0.050722 + 0.414703I
b = 0.270653 − 0.751807I
−2.83313 − 2.36688I 0
u = 1.57011 − 0.25302I
a = 0.050722 − 0.414703I
b = 0.270653 + 0.751807I
−2.83313 + 2.36688I 0
u = −1.60463 + 0.04728I
a = −0.193464 − 0.069815I
b = −0.497661 − 0.282158I
−10.67240 − 0.12814I 0
u = −1.60463 − 0.04728I
a = −0.193464 + 0.069815I
b = −0.497661 + 0.282158I
−10.67240 + 0.12814I 0
u = −0.330981 + 0.091771I
a = 2.26299 + 1.65780I
b = −0.556933 − 0.972649I
4.26850 − 2.16570I −14.8529 + 5.8248I
u = −0.330981 − 0.091771I
a = 2.26299 − 1.65780I
b = −0.556933 + 0.972649I
4.26850 + 2.16570I −14.8529 − 5.8248I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.295478
a = −0.892558
b = 0.325774
−0.572509 −17.2100
u = 1.88523 + 0.07373I
a = 0.008429 + 0.394780I
b = 0.057063 − 0.952589I
−3.21447 + 1.94404I 0
u = 1.88523 − 0.07373I
a = 0.008429 − 0.394780I
b = 0.057063 + 0.952589I
−3.21447 − 1.94404I 0
16
II. I
u
2
=
h−9u
21
+23u
20
+· · ·+b+5, 10u
21
−23u
20
+· · ·+a−8, u
22
−u
21
+· · ·−5u−1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
9
=
1
u
2
a
1
=
−u
−u
3
+ u
a
4
=
−10u
21
+ 23u
20
+ ··· + 38u + 8
9u
21
− 23u
20
+ ··· − 27u − 5
a
10
=
−u
2
+ 1
−u
4
+ 2u
2
a
3
=
−u
21
+ 17u
19
+ ··· + 11u + 3
9u
21
− 23u
20
+ ··· − 27u − 5
a
7
=
−5u
21
+ 9u
20
+ ··· + 27u + 10
−3u
21
+ 6u
20
+ ··· + 6u + 3
a
6
=
−5u
21
+ 9u
20
+ ··· + 25u + 10
−2u
21
+ 4u
20
+ ··· + 2u + 2
a
2
=
14u
21
− 31u
20
+ ··· − 54u − 17
−u
21
+ 3u
20
+ ··· − u − 2
a
11
=
−10u
21
+ 28u
20
+ ··· + 36u
2
+ 19u
3u
21
− 7u
20
+ ··· − 9u − 5
a
5
=
5u
21
− 9u
20
+ ··· − 22u − 4
−16u
21
+ 38u
20
+ ··· + 41u + 8
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 3u
21
−10u
20
−27u
19
+ 118u
18
+ 77u
17
−585u
16
+ 9u
15
+ 1570u
14
−503u
13
−2443u
12
+
1076u
11
+2194u
10
−810u
9
−1096u
8
−74u
7
+324u
6
+327u
5
−51u
4
−49u
3
−42u
2
−11u−5
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
22
− 10u
21
+ ··· − 13u + 1
c
2
u
22
+ 2u
21
+ ··· + 3u + 1
c
3
u
22
+ u
21
+ ··· − 10u + 1
c
4
u
22
+ 12u
20
+ ··· − 2u − 1
c
5
u
22
− 2u
21
+ ··· − 3u + 1
c
6
u
22
− u
21
+ ··· + 7u − 1
c
7
u
22
− u
21
+ ··· + 10u + 1
c
8
, c
9
u
22
− u
21
+ ··· − 5u − 1
c
10
u
22
+ 12u
20
+ ··· + 2u − 1
c
11
u
22
+ u
21
+ ··· − u − 1
c
12
u
22
+ u
21
+ ··· + 5u − 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
22
+ 14y
21
+ ··· + 15y + 1
c
2
, c
5
y
22
− 10y
21
+ ··· − 13y + 1
c
3
, c
7
y
22
+ 21y
21
+ ··· − 46y + 1
c
4
, c
10
y
22
+ 24y
21
+ ··· − 26y + 1
c
6
y
22
+ 7y
21
+ ··· − 13y + 1
c
8
, c
9
, c
12
y
22
− 29y
21
+ ··· − 9y + 1
c
11
y
22
+ 3y
21
+ ··· − 3y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.149520 + 0.062207I
a = −0.278979 + 0.910972I
b = −0.219305 − 1.389230I
1.02423 − 3.01439I −6.90565 − 0.06936I
u = 1.149520 − 0.062207I
a = −0.278979 − 0.910972I
b = −0.219305 + 1.389230I
1.02423 + 3.01439I −6.90565 + 0.06936I
u = 1.177240 + 0.457260I
a = −0.914545 + 0.796912I
b = −0.343723 − 0.851346I
−1.45659 − 0.80644I −14.8509 − 4.8732I
u = 1.177240 − 0.457260I
a = −0.914545 − 0.796912I
b = −0.343723 + 0.851346I
−1.45659 + 0.80644I −14.8509 + 4.8732I
u = −1.305800 + 0.040691I
a = 0.584110 + 1.235290I
b = 0.32249 − 1.62994I
3.29715 + 3.65180I −12.37780 − 2.47312I
u = −1.305800 − 0.040691I
a = 0.584110 − 1.235290I
b = 0.32249 + 1.62994I
3.29715 − 3.65180I −12.37780 + 2.47312I
u = −1.303680 + 0.159108I
a = 0.928091 + 0.289110I
b = 1.03135 − 1.19976I
1.10246 + 3.82076I −10.96058 − 4.95574I
u = −1.303680 − 0.159108I
a = 0.928091 − 0.289110I
b = 1.03135 + 1.19976I
1.10246 − 3.82076I −10.96058 + 4.95574I
u = 0.684734
a = −0.627896
b = −0.414303
−2.24643 −18.0350
u = −1.41340 + 0.14323I
a = −1.45130 + 0.08737I
b = −0.620478 + 0.845096I
−2.12308 + 7.66217I −13.2891 − 7.4894I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41340 − 0.14323I
a = −1.45130 − 0.08737I
b = −0.620478 − 0.845096I
−2.12308 − 7.66217I −13.2891 + 7.4894I
u = −0.280875 + 0.463479I
a = −0.38070 − 2.08313I
b = 0.542735 + 1.068170I
4.66239 − 1.74942I −4.28943 − 3.46067I
u = −0.280875 − 0.463479I
a = −0.38070 + 2.08313I
b = 0.542735 − 1.068170I
4.66239 + 1.74942I −4.28943 + 3.46067I
u = 1.45683 + 0.41933I
a = 0.814307 − 0.787584I
b = 0.207288 + 0.844118I
−2.55416 − 4.23935I −13.94164 + 1.24804I
u = 1.45683 − 0.41933I
a = 0.814307 + 0.787584I
b = 0.207288 − 0.844118I
−2.55416 + 4.23935I −13.94164 − 1.24804I
u = 0.004334 + 0.470963I
a = −1.43048 + 3.24123I
b = −0.385633 − 0.903070I
2.78296 − 5.65128I −5.51832 + 7.12489I
u = 0.004334 − 0.470963I
a = −1.43048 − 3.24123I
b = −0.385633 + 0.903070I
2.78296 + 5.65128I −5.51832 − 7.12489I
u = −0.356680 + 0.113620I
a = −1.56768 + 0.90684I
b = 0.21297 + 1.44694I
6.70926 − 3.12755I −4.88224 + 2.73129I
u = −0.356680 − 0.113620I
a = −1.56768 − 0.90684I
b = 0.21297 − 1.44694I
6.70926 + 3.12755I −4.88224 − 2.73129I
u = −1.62672
a = −0.271509
b = −0.137497
−10.3897 1.24590
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.84351 + 0.09179I
a = 0.146873 − 0.648648I
b = 0.028198 + 0.786662I
−3.83666 + 1.58772I −24.5899 + 0.1635I
u = 1.84351 − 0.09179I
a = 0.146873 + 0.648648I
b = 0.028198 − 0.786662I
−3.83666 − 1.58772I −24.5899 − 0.1635I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
22
− 10u
21
+ ··· − 13u + 1)(u
113
+ 47u
112
+ ··· + 10403u + 169)
c
2
(u
22
+ 2u
21
+ ··· + 3u + 1)(u
113
+ 3u
112
+ ··· − 69u + 13)
c
3
(u
22
+ u
21
+ ··· − 10u + 1)(u
113
+ 2u
112
+ ··· + 12910u + 3551)
c
4
(u
22
+ 12u
20
+ ··· − 2u − 1)(u
113
− u
112
+ ··· + 14u + 1)
c
5
(u
22
− 2u
21
+ ··· − 3u + 1)(u
113
+ 3u
112
+ ··· − 69u + 13)
c
6
(u
22
− u
21
+ ··· + 7u − 1)(u
113
+ 8u
112
+ ··· − 3489u + 907)
c
7
(u
22
− u
21
+ ··· + 10u + 1)(u
113
+ 2u
112
+ ··· + 12910u + 3551)
c
8
, c
9
(u
22
− u
21
+ ··· − 5u − 1)(u
113
+ 8u
112
+ ··· − 191u + 73)
c
10
(u
22
+ 12u
20
+ ··· + 2u − 1)(u
113
− u
112
+ ··· + 14u + 1)
c
11
(u
22
+ u
21
+ ··· − u − 1)(u
113
− 2u
112
+ ··· + 277357u + 17593)
c
12
(u
22
+ u
21
+ ··· + 5u − 1)(u
113
+ 8u
112
+ ··· − 191u + 73)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
22
+ 14y
21
+ ··· + 15y + 1)
· (y
113
+ 49y
112
+ ··· + 6847759y −28561)
c
2
, c
5
(y
22
− 10y
21
+ ··· − 13y + 1)(y
113
− 47y
112
+ ··· + 10403y −169)
c
3
, c
7
(y
22
+ 21y
21
+ ··· − 46y + 1)
· (y
113
+ 80y
112
+ ··· + 236395536y −12609601)
c
4
, c
10
(y
22
+ 24y
21
+ ··· − 26y + 1)(y
113
+ 95y
112
+ ··· − 80y −1)
c
6
(y
22
+ 7y
21
+ ··· − 13y + 1)
· (y
113
+ 18y
112
+ ··· − 6476613y −822649)
c
8
, c
9
, c
12
(y
22
− 29y
21
+ ··· − 9y + 1)(y
113
− 114y
112
+ ··· + 78383y −5329)
c
11
(y
22
+ 3y
21
+ ··· − 3y + 1)
· (y
113
+ 26y
112
+ ··· − 9594272227y −309513649)
24
