11a
213
(K11a
213
)
A knot diagram
1
Linearized knot diagam
6 1 9 11 8 2 10 3 5 7 4
Solving Sequence
4,9 1,3
2 8 11 5 6 10 7
c
3
c
2
c
8
c
11
c
4
c
5
c
9
c
7
c
1
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.59610 × 10
222
u
91
− 6.94766 × 10
222
u
90
+ ··· + 2.72339 × 10
221
b − 1.01661 × 10
223
,
2.92189 × 10
222
u
91
+ 4.36878 × 10
222
u
90
+ ··· + 2.72339 × 10
221
a + 5.95579 × 10
222
, u
92
+ u
91
+ ··· + u − 1i
I
u
2
= h21u
19
− 10u
18
+ ··· + b + 23, 5u
19
− 6u
18
+ ··· + a + 8, u
20
− 6u
18
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 112 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
= h−4.60 × 10
222
u
91
− 6.95 × 10
222
u
90
+ · · · + 2.72 × 10
221
b − 1.02 ×
10
223
, 2.92 × 10
222
u
91
+ 4.37 × 10
222
u
90
+ · · · + 2.72 × 10
221
a + 5.96 ×
10
222
, u
92
+ u
91
+ · · · + u − 1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
1
=
−10.7288u
91
− 16.0417u
90
+ ··· − 20.4887u − 21.8690
16.8764u
91
+ 25.5110u
90
+ ··· + 40.6206u + 37.3287
a
3
=
1
−u
2
a
2
=
11.2348u
91
+ 18.9978u
90
+ ··· + 36.0229u + 34.6600
−2.18240u
91
− 2.39881u
90
+ ··· − 15.0995u − 5.11898
a
8
=
u
−u
3
+ u
a
11
=
6.14754u
91
+ 9.46936u
90
+ ··· + 20.1319u + 15.4597
16.8764u
91
+ 25.5110u
90
+ ··· + 40.6206u + 37.3287
a
5
=
−11.4198u
91
− 18.6265u
90
+ ··· − 26.8279u − 28.8392
4.48198u
91
+ 6.96790u
90
+ ··· + 21.3086u + 14.8116
a
6
=
−13.4484u
91
− 22.4378u
90
+ ··· − 32.7548u − 36.7310
2.53485u
91
+ 3.73696u
90
+ ··· + 15.6276u + 8.70253
a
10
=
5.28893u
91
+ 7.49597u
90
+ ··· + 10.8597u + 8.11508
−17.1968u
91
− 24.5024u
90
+ ··· − 44.4107u − 35.8919
a
7
=
−4.97114u
91
− 5.69526u
90
+ ··· − 16.4325u − 7.23098
−14.9240u
91
− 21.0249u
90
+ ··· − 36.6876u − 27.4447
a
7
=
−4.97114u
91
− 5.69526u
90
+ ··· − 16.4325u − 7.23098
−14.9240u
91
− 21.0249u
90
+ ··· − 36.6876u − 27.4447
(ii) Obstruction class = −1
(iii) Cusp Shapes = 19.2599u
91
+ 27.9333u
90
+ ··· + 2.33262u + 18.9254
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u
92
− u
91
+ ··· + 54u − 143
c
2
u
92
+ 41u
91
+ ··· + 295208u + 20449
c
3
, c
8
u
92
− u
91
+ ··· − u − 1
c
4
, c
11
u
92
− 3u
91
+ ··· + 442u − 347
c
5
u
92
− 3u
91
+ ··· + 678u + 68
c
7
, c
10
u
92
+ 3u
91
+ ··· + 734u + 79
c
9
u
92
+ u
91
+ ··· − 3505u − 387
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
92
− 41y
91
+ ··· − 295208y + 20449
c
2
y
92
+ 31y
91
+ ··· − 131051768y + 418161601
c
3
, c
8
y
92
− 51y
91
+ ··· − 27y + 1
c
4
, c
11
y
92
+ 59y
91
+ ··· + 3735452y + 120409
c
5
y
92
− 17y
91
+ ··· + 950500y + 4624
c
7
, c
10
y
92
+ 49y
91
+ ··· − 26204y + 6241
c
9
y
92
− 11y
91
+ ··· − 5497819y + 149769
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.899956 + 0.428154I
a = 1.85557 + 0.47759I
b = 0.010890 − 0.885762I
1.37334 + 1.58152I 0
u = 0.899956 − 0.428154I
a = 1.85557 − 0.47759I
b = 0.010890 + 0.885762I
1.37334 − 1.58152I 0
u = 1.002300 + 0.321909I
a = 1.082330 − 0.018089I
b = −0.832463 + 0.052849I
−0.877139 − 0.912194I 0
u = 1.002300 − 0.321909I
a = 1.082330 + 0.018089I
b = −0.832463 − 0.052849I
−0.877139 + 0.912194I 0
u = −0.802043 + 0.489858I
a = 1.48741 + 0.08320I
b = −0.146106 + 1.163070I
2.86848 + 1.82626I 0
u = −0.802043 − 0.489858I
a = 1.48741 − 0.08320I
b = −0.146106 − 1.163070I
2.86848 − 1.82626I 0
u = 0.363192 + 1.037260I
a = 0.197151 − 0.200110I
b = 0.385879 − 1.192380I
2.46469 + 5.43660I 0
u = 0.363192 − 1.037260I
a = 0.197151 + 0.200110I
b = 0.385879 + 1.192380I
2.46469 − 5.43660I 0
u = 0.385836 + 0.811407I
a = 1.25709 − 0.69261I
b = −0.693377 − 0.983781I
−2.86301 − 4.52369I 0
u = 0.385836 − 0.811407I
a = 1.25709 + 0.69261I
b = −0.693377 + 0.983781I
−2.86301 + 4.52369I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.093280 + 0.155448I
a = 0.658445 + 0.311986I
b = −0.797009 − 0.561932I
−3.87053 − 2.88480I 0
u = −1.093280 − 0.155448I
a = 0.658445 − 0.311986I
b = −0.797009 + 0.561932I
−3.87053 + 2.88480I 0
u = 1.021630 + 0.504770I
a = 1.63740 + 0.50649I
b = −0.86024 − 1.12424I
0.75507 − 2.54974I 0
u = 1.021630 − 0.504770I
a = 1.63740 − 0.50649I
b = −0.86024 + 1.12424I
0.75507 + 2.54974I 0
u = −1.098720 + 0.346642I
a = 1.299450 + 0.359979I
b = −1.258100 − 0.118180I
−4.08734 + 4.93913I 0
u = −1.098720 − 0.346642I
a = 1.299450 − 0.359979I
b = −1.258100 + 0.118180I
−4.08734 − 4.93913I 0
u = 1.020120 + 0.571742I
a = 0.984851 − 0.334088I
b = −0.522961 − 0.901176I
−2.64428 − 2.01886I 0
u = 1.020120 − 0.571742I
a = 0.984851 + 0.334088I
b = −0.522961 + 0.901176I
−2.64428 + 2.01886I 0
u = −1.026570 + 0.575028I
a = 1.36065 − 0.84820I
b = −0.50001 + 1.55156I
0.762842 + 0.362539I 0
u = −1.026570 − 0.575028I
a = 1.36065 + 0.84820I
b = −0.50001 − 1.55156I
0.762842 − 0.362539I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.123500 + 0.377477I
a = −1.82978 + 0.65129I
b = 0.97324 − 1.09916I
0.05662 + 7.54903I 0
u = −1.123500 − 0.377477I
a = −1.82978 − 0.65129I
b = 0.97324 + 1.09916I
0.05662 − 7.54903I 0
u = 1.138520 + 0.338863I
a = −1.63737 − 0.79965I
b = 0.63181 + 1.36847I
0.30466 − 3.87854I 0
u = 1.138520 − 0.338863I
a = −1.63737 + 0.79965I
b = 0.63181 − 1.36847I
0.30466 + 3.87854I 0
u = −0.325891 + 0.743657I
a = 0.405007 − 0.074605I
b = −0.791843 − 0.487373I
−4.17931 − 0.87104I −12.11508 + 0.I
u = −0.325891 − 0.743657I
a = 0.405007 + 0.074605I
b = −0.791843 + 0.487373I
−4.17931 + 0.87104I −12.11508 + 0.I
u = −0.781885 + 0.059041I
a = −2.52231 − 0.77094I
b = 1.007020 + 0.764873I
−2.08061 − 3.09402I −11.78916 + 0.I
u = −0.781885 − 0.059041I
a = −2.52231 + 0.77094I
b = 1.007020 − 0.764873I
−2.08061 + 3.09402I −11.78916 + 0.I
u = −0.687266 + 0.373381I
a = 1.121870 + 0.778326I
b = −0.127220 + 1.324110I
3.27963 + 2.01059I 0. − 2.17901I
u = −0.687266 − 0.373381I
a = 1.121870 − 0.778326I
b = −0.127220 − 1.324110I
3.27963 − 2.01059I 0. + 2.17901I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.058014 + 1.220800I
a = 0.276521 + 0.904981I
b = −0.174273 + 0.678980I
1.95041 − 1.39231I 0
u = 0.058014 − 1.220800I
a = 0.276521 − 0.904981I
b = −0.174273 − 0.678980I
1.95041 + 1.39231I 0
u = 1.174000 + 0.359773I
a = −1.90983 − 0.96169I
b = 0.226488 + 1.189200I
−1.14890 − 7.16658I 0
u = 1.174000 − 0.359773I
a = −1.90983 + 0.96169I
b = 0.226488 − 1.189200I
−1.14890 + 7.16658I 0
u = −1.173860 + 0.371541I
a = −1.76941 − 0.43236I
b = 0.536128 − 1.159260I
−7.03906 + 7.80694I 0
u = −1.173860 − 0.371541I
a = −1.76941 + 0.43236I
b = 0.536128 + 1.159260I
−7.03906 − 7.80694I 0
u = −1.177990 + 0.372709I
a = −1.37923 + 1.02172I
b = 0.130525 − 0.776176I
−0.68335 + 4.74170I 0
u = −1.177990 − 0.372709I
a = −1.37923 − 1.02172I
b = 0.130525 + 0.776176I
−0.68335 − 4.74170I 0
u = 1.154860 + 0.486853I
a = −1.47799 + 0.52228I
b = 1.38485 − 0.30163I
−6.02464 − 10.31350I 0
u = 1.154860 − 0.486853I
a = −1.47799 − 0.52228I
b = 1.38485 + 0.30163I
−6.02464 + 10.31350I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.243416 + 1.236130I
a = 0.162332 − 0.004245I
b = −0.489603 − 1.275900I
0.85125 − 10.84920I 0
u = −0.243416 − 1.236130I
a = 0.162332 + 0.004245I
b = −0.489603 + 1.275900I
0.85125 + 10.84920I 0
u = −1.175930 + 0.472649I
a = −0.633389 − 0.779199I
b = 0.347606 − 0.779093I
−6.23055 − 2.15767I 0
u = −1.175930 − 0.472649I
a = −0.633389 + 0.779199I
b = 0.347606 + 0.779093I
−6.23055 + 2.15767I 0
u = 1.214930 + 0.377226I
a = −1.142750 + 0.184285I
b = 0.341035 + 1.090410I
−2.70208 − 3.30839I 0
u = 1.214930 − 0.377226I
a = −1.142750 − 0.184285I
b = 0.341035 − 1.090410I
−2.70208 + 3.30839I 0
u = −1.200470 + 0.459585I
a = −1.089820 − 0.160696I
b = 0.851364 + 0.233369I
−2.24388 + 5.89877I 0
u = −1.200470 − 0.459585I
a = −1.089820 + 0.160696I
b = 0.851364 − 0.233369I
−2.24388 − 5.89877I 0
u = −0.593320 + 1.152030I
a = 0.247734 + 0.048374I
b = 0.187453 + 1.138280I
4.85118 + 0.81446I 0
u = −0.593320 − 1.152030I
a = 0.247734 − 0.048374I
b = 0.187453 − 1.138280I
4.85118 − 0.81446I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.695203 + 0.103878I
a = −2.39103 + 0.60425I
b = 0.465075 − 0.827446I
0.57404 − 1.64965I −7.09706 + 2.07909I
u = 0.695203 − 0.103878I
a = −2.39103 − 0.60425I
b = 0.465075 + 0.827446I
0.57404 + 1.64965I −7.09706 − 2.07909I
u = 0.656303 + 0.240252I
a = −0.10956 − 1.42423I
b = −0.182748 − 1.312790I
2.33729 − 4.89796I −3.19840 + 10.75719I
u = 0.656303 − 0.240252I
a = −0.10956 + 1.42423I
b = −0.182748 + 1.312790I
2.33729 + 4.89796I −3.19840 − 10.75719I
u = −1.30994
a = −1.00243
b = 0.647346
−5.83140 0
u = −1.098340 + 0.736969I
a = −1.34001 − 0.54457I
b = 0.653792 − 0.759457I
−5.90913 + 6.23883I 0
u = −1.098340 − 0.736969I
a = −1.34001 + 0.54457I
b = 0.653792 + 0.759457I
−5.90913 − 6.23883I 0
u = −0.635484 + 0.127279I
a = −3.48529 − 0.08941I
b = −0.057611 + 0.532891I
−3.86440 + 5.70624I −8.10788 − 2.00819I
u = −0.635484 − 0.127279I
a = −3.48529 + 0.08941I
b = −0.057611 − 0.532891I
−3.86440 − 5.70624I −8.10788 + 2.00819I
u = 1.332470 + 0.247847I
a = −1.007340 + 0.847514I
b = 0.891796 − 0.453277I
−9.35815 − 2.58044I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.332470 − 0.247847I
a = −1.007340 − 0.847514I
b = 0.891796 + 0.453277I
−9.35815 + 2.58044I 0
u = 1.239090 + 0.559867I
a = −0.567349 + 0.606895I
b = 0.719530 − 0.877837I
−5.59330 − 0.95533I 0
u = 1.239090 − 0.559867I
a = −0.567349 − 0.606895I
b = 0.719530 + 0.877837I
−5.59330 + 0.95533I 0
u = 1.209370 + 0.632518I
a = 1.41567 + 0.02861I
b = −0.62241 − 1.34712I
−0.21837 − 11.40940I 0
u = 1.209370 − 0.632518I
a = 1.41567 − 0.02861I
b = −0.62241 + 1.34712I
−0.21837 + 11.40940I 0
u = −1.178080 + 0.698481I
a = 1.180720 − 0.033401I
b = −0.482051 + 1.253940I
2.77259 + 5.73769I 0
u = −1.178080 − 0.698481I
a = 1.180720 + 0.033401I
b = −0.482051 − 1.253940I
2.77259 − 5.73769I 0
u = −0.359604 + 0.513145I
a = 1.105950 − 0.461605I
b = −0.10619 + 1.59127I
2.51053 + 4.14874I −5.33756 − 6.38441I
u = −0.359604 − 0.513145I
a = 1.105950 + 0.461605I
b = −0.10619 − 1.59127I
2.51053 − 4.14874I −5.33756 + 6.38441I
u = 0.188195 + 0.589028I
a = 1.17085 − 1.73055I
b = −0.909144 + 0.168813I
−3.25055 + 5.97769I −10.01627 − 5.34702I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.188195 − 0.589028I
a = 1.17085 + 1.73055I
b = −0.909144 − 0.168813I
−3.25055 − 5.97769I −10.01627 + 5.34702I
u = 0.181391 + 0.540978I
a = 0.789144 − 0.658848I
b = 0.433458 − 0.123479I
−0.74698 − 2.02785I −4.64089 + 2.72591I
u = 0.181391 − 0.540978I
a = 0.789144 + 0.658848I
b = 0.433458 + 0.123479I
−0.74698 + 2.02785I −4.64089 − 2.72591I
u = 0.45586 + 1.35944I
a = 0.146707 + 0.068204I
b = −0.341442 + 1.074570I
3.67608 + 3.90107I 0
u = 0.45586 − 1.35944I
a = 0.146707 − 0.068204I
b = −0.341442 − 1.074570I
3.67608 − 3.90107I 0
u = −1.32343 + 0.67031I
a = −1.53002 + 0.19530I
b = 0.71065 − 1.35618I
−2.5744 + 17.5099I 0
u = −1.32343 − 0.67031I
a = −1.53002 − 0.19530I
b = 0.71065 + 1.35618I
−2.5744 − 17.5099I 0
u = −0.034570 + 0.494786I
a = 1.20093 + 1.44391I
b = −0.111055 − 0.302643I
1.16594 − 1.89895I −3.75763 + 6.23152I
u = −0.034570 − 0.494786I
a = 1.20093 − 1.44391I
b = −0.111055 + 0.302643I
1.16594 + 1.89895I −3.75763 − 6.23152I
u = 1.32427 + 0.73631I
a = −1.300570 − 0.067697I
b = 0.573497 + 1.208660I
0.67671 − 11.20380I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.32427 − 0.73631I
a = −1.300570 + 0.067697I
b = 0.573497 − 1.208660I
0.67671 + 11.20380I 0
u = 0.461263 + 0.018499I
a = −0.73651 − 1.21882I
b = −0.02599 + 1.55300I
2.80824 + 1.36127I −5.48968 + 3.29803I
u = 0.461263 − 0.018499I
a = −0.73651 + 1.21882I
b = −0.02599 − 1.55300I
2.80824 − 1.36127I −5.48968 − 3.29803I
u = 0.167352 + 0.427245I
a = 0.761067 + 1.015440I
b = 0.133945 − 1.282940I
2.72282 − 1.44940I −5.16116 − 0.05224I
u = 0.167352 − 0.427245I
a = 0.761067 − 1.015440I
b = 0.133945 + 1.282940I
2.72282 + 1.44940I −5.16116 + 0.05224I
u = 0.379215
a = 0.649224
b = −0.409798
−0.736675 −13.9250
u = −1.62911 + 0.00058I
a = −0.179116 − 0.487894I
b = −0.011057 + 0.713112I
−5.05252 + 1.36520I 0
u = −1.62911 − 0.00058I
a = −0.179116 + 0.487894I
b = −0.011057 − 0.713112I
−5.05252 − 1.36520I 0
u = −0.288297 + 0.213692I
a = 0.03708 + 1.79806I
b = −0.45259 − 1.47014I
2.55253 − 4.41767I −1.66349 + 3.27220I
u = −0.288297 − 0.213692I
a = 0.03708 − 1.79806I
b = −0.45259 + 1.47014I
2.55253 + 4.41767I −1.66349 − 3.27220I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.67230 + 0.27921I
a = −0.126637 + 0.712774I
b = 0.280703 − 0.948609I
−5.78137 + 4.82781I 0
u = 1.67230 − 0.27921I
a = −0.126637 − 0.712774I
b = 0.280703 + 0.948609I
−5.78137 − 4.82781I 0
14
II.
I
u
2
= h21u
19
−10u
18
+· · ·+b+23, 5u
19
−6u
18
+· · ·+a+8, u
20
−6u
18
+· · ·+u+1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
1
=
−5u
19
+ 6u
18
+ ··· + 6u − 8
−21u
19
+ 10u
18
+ ··· + 19u − 23
a
3
=
1
−u
2
a
2
=
20u
19
− 6u
18
+ ··· − 18u + 21
−7u
19
+ 5u
18
+ ··· + 7u − 6
a
8
=
u
−u
3
+ u
a
11
=
−26u
19
+ 16u
18
+ ··· + 25u − 31
−21u
19
+ 10u
18
+ ··· + 19u − 23
a
5
=
−u
18
+ 5u
16
+ ··· − 5u
2
+ u
12u
19
− 10u
18
+ ··· − 10u + 15
a
6
=
−5u
19
+ 5u
18
+ ··· + 3u − 10
9u
19
− 7u
18
+ ··· − 7u + 11
a
10
=
−4u
19
+ 21u
17
+ ··· + 5u
2
+ 4u
−21u
19
+ 10u
18
+ ··· + 15u − 22
a
7
=
27u
19
− 21u
18
+ ··· − 20u + 42
27u
19
− 16u
18
+ ··· − 24u + 34
a
7
=
27u
19
− 21u
18
+ ··· − 20u + 42
27u
19
− 16u
18
+ ··· − 24u + 34
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 19u
19
− 16u
18
− 101u
17
+ 108u
16
+ 144u
15
− 213u
14
+ 83u
13
− 4u
12
− 327u
11
+
448u
10
+ 123u
9
− 374u
8
+ 168u
7
− 120u
6
− 81u
5
+ 241u
4
+ 25u
3
− 123u
2
− 4u + 16
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
20
− 5u
18
+ ··· − 2u + 1
c
2
u
20
+ 10u
19
+ ··· + 12u + 1
c
3
u
20
− 6u
18
+ ··· + u + 1
c
4
u
20
+ 2u
19
+ ··· + 8u
2
+ 1
c
5
u
20
− 4u
19
+ ··· − 4u + 1
c
6
u
20
− 5u
18
+ ··· + 2u + 1
c
7
u
20
+ 4u
19
+ ··· + 4u + 1
c
8
u
20
− 6u
18
+ ··· − u + 1
c
9
u
20
+ 4u
17
+ ··· + u + 1
c
10
u
20
− 4u
19
+ ··· − 4u + 1
c
11
u
20
− 2u
19
+ ··· + 8u
2
+ 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
20
− 10y
19
+ ··· − 12y + 1
c
2
y
20
+ 10y
19
+ ··· + 4y + 1
c
3
, c
8
y
20
− 12y
19
+ ··· − 11y + 1
c
4
, c
11
y
20
+ 18y
19
+ ··· + 16y + 1
c
5
y
20
− 2y
19
+ ··· + 8y + 1
c
7
, c
10
y
20
+ 8y
19
+ ··· + 12y + 1
c
9
y
20
− 8y
17
+ ··· + 17y + 1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.020502 + 1.009610I
a = 0.239739 − 0.075557I
b = −0.111980 − 1.179690I
4.05337 − 2.46535I −3.03812 + 2.80384I
u = 0.020502 − 1.009610I
a = 0.239739 + 0.075557I
b = −0.111980 + 1.179690I
4.05337 + 2.46535I −3.03812 − 2.80384I
u = −0.034514 + 1.030530I
a = 0.417470 − 1.272790I
b = −0.117330 − 0.725388I
2.26277 + 1.45555I 6.55534 − 4.54077I
u = −0.034514 − 1.030530I
a = 0.417470 + 1.272790I
b = −0.117330 + 0.725388I
2.26277 − 1.45555I 6.55534 + 4.54077I
u = 0.834862 + 0.376425I
a = −2.85203 + 0.33582I
b = 0.473306 + 0.639860I
−4.11080 − 6.47940I −11.0697 + 10.5057I
u = 0.834862 − 0.376425I
a = −2.85203 − 0.33582I
b = 0.473306 − 0.639860I
−4.11080 + 6.47940I −11.0697 − 10.5057I
u = 0.989760 + 0.468800I
a = 1.42255 + 0.75415I
b = −0.46915 − 1.35496I
1.31973 − 1.14762I −5.60070 + 2.26738I
u = 0.989760 − 0.468800I
a = 1.42255 − 0.75415I
b = −0.46915 + 1.35496I
1.31973 + 1.14762I −5.60070 − 2.26738I
u = 0.739186 + 0.254368I
a = 0.812536 + 0.136562I
b = −0.11506 − 1.54761I
2.49233 − 2.11946I −10.71875 + 4.52605I
u = 0.739186 − 0.254368I
a = 0.812536 − 0.136562I
b = −0.11506 + 1.54761I
2.49233 + 2.11946I −10.71875 − 4.52605I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.197310 + 0.297467I
a = −1.51506 + 1.09231I
b = 0.456437 − 1.060240I
−0.69775 + 5.95580I −9.18910 − 5.63264I
u = −1.197310 − 0.297467I
a = −1.51506 − 1.09231I
b = 0.456437 + 1.060240I
−0.69775 − 5.95580I −9.18910 + 5.63264I
u = −0.596304 + 0.330171I
a = 2.53707 − 0.01833I
b = −0.918717 + 0.754673I
−1.49168 + 3.77521I −5.50553 − 6.05932I
u = −0.596304 − 0.330171I
a = 2.53707 + 0.01833I
b = −0.918717 − 0.754673I
−1.49168 − 3.77521I −5.50553 + 6.05932I
u = −0.677664 + 0.019148I
a = 0.768972 − 0.409121I
b = −0.36367 − 1.45018I
1.86097 − 4.40401I −13.93839 + 1.85189I
u = −0.677664 − 0.019148I
a = 0.768972 + 0.409121I
b = −0.36367 + 1.45018I
1.86097 + 4.40401I −13.93839 − 1.85189I
u = 1.42090 + 0.17879I
a = −0.406122 + 0.146508I
b = −0.189379 + 0.489956I
−6.67062 + 3.74046I −13.8287 − 3.4251I
u = 1.42090 − 0.17879I
a = −0.406122 − 0.146508I
b = −0.189379 − 0.489956I
−6.67062 − 3.74046I −13.8287 + 3.4251I
u = −1.49942 + 0.05369I
a = −0.425122 − 0.103178I
b = 0.355541 + 0.485353I
−5.59805 − 1.77453I −16.1663 + 4.7993I
u = −1.49942 − 0.05369I
a = −0.425122 + 0.103178I
b = 0.355541 − 0.485353I
−5.59805 + 1.77453I −16.1663 − 4.7993I
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
20
− 5u
18
+ ··· − 2u + 1)(u
92
− u
91
+ ··· + 54u − 143)
c
2
(u
20
+ 10u
19
+ ··· + 12u + 1)(u
92
+ 41u
91
+ ··· + 295208u + 20449)
c
3
(u
20
− 6u
18
+ ··· + u + 1)(u
92
− u
91
+ ··· − u − 1)
c
4
(u
20
+ 2u
19
+ ··· + 8u
2
+ 1)(u
92
− 3u
91
+ ··· + 442u − 347)
c
5
(u
20
− 4u
19
+ ··· − 4u + 1)(u
92
− 3u
91
+ ··· + 678u + 68)
c
6
(u
20
− 5u
18
+ ··· + 2u + 1)(u
92
− u
91
+ ··· + 54u − 143)
c
7
(u
20
+ 4u
19
+ ··· + 4u + 1)(u
92
+ 3u
91
+ ··· + 734u + 79)
c
8
(u
20
− 6u
18
+ ··· − u + 1)(u
92
− u
91
+ ··· − u − 1)
c
9
(u
20
+ 4u
17
+ ··· + u + 1)(u
92
+ u
91
+ ··· − 3505u − 387)
c
10
(u
20
− 4u
19
+ ··· − 4u + 1)(u
92
+ 3u
91
+ ··· + 734u + 79)
c
11
(u
20
− 2u
19
+ ··· + 8u
2
+ 1)(u
92
− 3u
91
+ ··· + 442u − 347)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
6
(y
20
− 10y
19
+ ··· − 12y + 1)(y
92
− 41y
91
+ ··· − 295208y + 20449)
c
2
(y
20
+ 10y
19
+ ··· + 4y + 1)
· (y
92
+ 31y
91
+ ··· − 131051768y + 418161601)
c
3
, c
8
(y
20
− 12y
19
+ ··· − 11y + 1)(y
92
− 51y
91
+ ··· − 27y + 1)
c
4
, c
11
(y
20
+ 18y
19
+ ··· + 16y + 1)
· (y
92
+ 59y
91
+ ··· + 3735452y + 120409)
c
5
(y
20
− 2y
19
+ ··· + 8y + 1)(y
92
− 17y
91
+ ··· + 950500y + 4624)
c
7
, c
10
(y
20
+ 8y
19
+ ··· + 12y + 1)(y
92
+ 49y
91
+ ··· − 26204y + 6241)
c
9
(y
20
− 8y
17
+ ··· + 17y + 1)(y
92
− 11y
91
+ ··· − 5497819y + 149769)
21
