12a
0630
(K12a
0630
)
A knot diagram
1
Linearized knot diagam
3 7 10 9 11 2 5 12 1 6 8 4
Solving Sequence
2,6
7
3,10
4 11 1 5 8 9 12
c
6
c
2
c
3
c
10
c
1
c
5
c
7
c
9
c
12
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.91340 × 10
369
u
144
+ 1.16876 × 10
370
u
143
+ ··· + 1.70448 × 10
369
b + 2.22815 × 10
371
,
− 3.70382 × 10
371
u
144
+ 5.34656 × 10
371
u
143
+ ··· + 7.32926 × 10
370
a + 3.08617 × 10
373
,
u
145
− u
144
+ ··· + 111u + 43i
I
u
2
= h−47244u
25
+ 102u
24
+ ··· + 21943b − 77421,
2102618u
25
− 1405135u
24
+ ··· + 416917a + 2687295, u
26
− 5u
24
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 171 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−5.91 × 10
369
u
144
+ 1.17 × 10
370
u
143
+ · · · + 1.70 × 10
369
b + 2.23 ×
10
371
, −3.70 × 10
371
u
144
+ 5.35 × 10
371
u
143
+ · · · + 7.33 × 10
370
a + 3.09 ×
10
373
, u
145
− u
144
+ · · · + 111u + 43i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
5.05348u
144
− 7.29482u
143
+ ··· − 1529.59u − 421.075
3.46933u
144
− 6.85702u
143
+ ··· − 527.016u − 130.724
a
4
=
13.2152u
144
− 5.82712u
143
+ ··· − 2009.43u − 616.681
4.92450u
144
− 2.88311u
143
+ ··· − 622.147u − 167.645
a
11
=
8.52281u
144
− 14.1518u
143
+ ··· − 2056.61u − 551.799
3.46933u
144
− 6.85702u
143
+ ··· − 527.016u − 130.724
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
3.01580u
144
− 1.99190u
143
+ ··· − 880.199u − 302.431
2.54787u
144
− 4.15288u
143
+ ··· − 58.9951u − 14.8841
a
8
=
5.82435u
144
− 14.4755u
143
+ ··· − 3307.07u − 852.613
1.30197u
144
− 7.24708u
143
+ ··· − 799.748u − 136.273
a
9
=
7.02548u
144
− 13.0533u
143
+ ··· − 1664.35u − 451.446
3.09963u
144
− 6.81289u
143
+ ··· − 527.426u − 116.601
a
12
=
−3.17000u
144
+ 10.4896u
143
+ ··· + 3245.66u + 880.087
−1.49962u
144
+ 8.59243u
143
+ ··· + 904.608u + 193.456
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.69384u
144
+ 23.7737u
143
+ ··· + 1298.05u + 121.085
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
145
+ 59u
144
+ ··· − 292549u + 1849
c
2
, c
6
u
145
− u
144
+ ··· + 111u + 43
c
3
u
145
+ 6u
143
+ ··· − 200298u + 49447
c
4
u
145
− 2u
144
+ ··· + 13u − 1
c
5
, c
10
u
145
− 3u
144
+ ··· + 85723u + 9799
c
7
u
145
− 11u
144
+ ··· − 3598960u + 268027
c
8
, c
11
u
145
− u
144
+ ··· − 6u − 1
c
9
u
145
+ u
144
+ ··· − 1852u − 8809
c
12
u
145
+ 12u
144
+ ··· + 14475u + 983
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
145
+ 45y
144
+ ··· + 56069800047y −3418801
c
2
, c
6
y
145
− 59y
144
+ ··· − 292549y −1849
c
3
y
145
+ 12y
144
+ ··· + 12484646126y −2445005809
c
4
y
145
− 2y
144
+ ··· − 995y −1
c
5
, c
10
y
145
+ 117y
144
+ ··· − 14395117115y −96020401
c
7
y
145
− 47y
144
+ ··· + 2169230447548y −71838472729
c
8
, c
11
y
145
− 111y
144
+ ··· + 244y −1
c
9
y
145
− 37y
144
+ ··· + 6073711804y −77598481
c
12
y
145
+ 30y
144
+ ··· − 94703045y −966289
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877303 + 0.468272I
a = 1.57356 − 0.62205I
b = 0.29748 + 2.26551I
−2.78991 − 1.90964I 0
u = 0.877303 − 0.468272I
a = 1.57356 + 0.62205I
b = 0.29748 − 2.26551I
−2.78991 + 1.90964I 0
u = 0.882422 + 0.437768I
a = −0.321281 − 1.299260I
b = −0.06255 − 1.51339I
−8.61145 − 1.79826I 0
u = 0.882422 − 0.437768I
a = −0.321281 + 1.299260I
b = −0.06255 + 1.51339I
−8.61145 + 1.79826I 0
u = −0.815077 + 0.543750I
a = 1.70139 + 2.08254I
b = 0.93293 − 2.67151I
−3.68834 + 2.23519I 0
u = −0.815077 − 0.543750I
a = 1.70139 − 2.08254I
b = 0.93293 + 2.67151I
−3.68834 − 2.23519I 0
u = 0.876196 + 0.413458I
a = 2.72185 + 1.43346I
b = 0.122814 + 1.077590I
−4.68823 + 4.69132I 0
u = 0.876196 − 0.413458I
a = 2.72185 − 1.43346I
b = 0.122814 − 1.077590I
−4.68823 − 4.69132I 0
u = −0.590696 + 0.766056I
a = −1.44442 + 0.92272I
b = 1.169960 − 0.141258I
0.27031 − 7.86888I 0
u = −0.590696 − 0.766056I
a = −1.44442 − 0.92272I
b = 1.169960 + 0.141258I
0.27031 + 7.86888I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.956142 + 0.395396I
a = −1.136230 − 0.527024I
b = −0.094603 + 0.660999I
−4.86760 − 7.94659I 0
u = 0.956142 − 0.395396I
a = −1.136230 + 0.527024I
b = −0.094603 − 0.660999I
−4.86760 + 7.94659I 0
u = −0.599491 + 0.756559I
a = 1.33554 − 0.64310I
b = −0.896372 − 0.235830I
4.15674 − 3.15991I 0
u = −0.599491 − 0.756559I
a = 1.33554 + 0.64310I
b = −0.896372 + 0.235830I
4.15674 + 3.15991I 0
u = −0.390521 + 0.882567I
a = −0.594345 + 0.451423I
b = 0.382837 − 1.274910I
−1.26071 − 5.33735I 0
u = −0.390521 − 0.882567I
a = −0.594345 − 0.451423I
b = 0.382837 + 1.274910I
−1.26071 + 5.33735I 0
u = −0.801456 + 0.537667I
a = −0.017933 + 0.502510I
b = −0.325610 + 0.795147I
−1.55077 + 2.17680I 0
u = −0.801456 − 0.537667I
a = −0.017933 − 0.502510I
b = −0.325610 − 0.795147I
−1.55077 − 2.17680I 0
u = 0.901498 + 0.511632I
a = −1.07717 − 2.46541I
b = 2.53524 + 0.74110I
−3.05457 − 1.67010I 0
u = 0.901498 − 0.511632I
a = −1.07717 + 2.46541I
b = 2.53524 − 0.74110I
−3.05457 + 1.67010I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.533541 + 0.797556I
a = 0.71732 − 1.34689I
b = −0.58770 + 1.36493I
−5.88372 − 4.52346I 0
u = −0.533541 − 0.797556I
a = 0.71732 + 1.34689I
b = −0.58770 − 1.36493I
−5.88372 + 4.52346I 0
u = 0.583401 + 0.758857I
a = −1.145310 − 0.283574I
b = 0.791925 − 0.009498I
2.68264 + 1.06220I 0
u = 0.583401 − 0.758857I
a = −1.145310 + 0.283574I
b = 0.791925 + 0.009498I
2.68264 − 1.06220I 0
u = −0.888534 + 0.337951I
a = 0.211272 − 0.432260I
b = −0.634572 + 0.402280I
−1.54724 + 0.94745I 0
u = −0.888534 − 0.337951I
a = 0.211272 + 0.432260I
b = −0.634572 − 0.402280I
−1.54724 − 0.94745I 0
u = −0.537246 + 0.778939I
a = −1.014390 − 0.014558I
b = 0.447040 + 0.853657I
−0.02802 + 2.03103I 0
u = −0.537246 − 0.778939I
a = −1.014390 + 0.014558I
b = 0.447040 − 0.853657I
−0.02802 − 2.03103I 0
u = 0.850709 + 0.409603I
a = −2.41313 − 0.98350I
b = 0.195250 − 0.907862I
−0.162571 + 1.035960I 0
u = 0.850709 − 0.409603I
a = −2.41313 + 0.98350I
b = 0.195250 + 0.907862I
−0.162571 − 1.035960I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.823610 + 0.459896I
a = 2.48932 + 1.20710I
b = −1.45968 + 1.21878I
−2.72559 − 2.32796I 0
u = 0.823610 − 0.459896I
a = 2.48932 − 1.20710I
b = −1.45968 − 1.21878I
−2.72559 + 2.32796I 0
u = −0.923681 + 0.516547I
a = −0.971498 + 0.142711I
b = −0.160473 + 1.223340I
−1.81144 + 1.97771I 0
u = −0.923681 − 0.516547I
a = −0.971498 − 0.142711I
b = −0.160473 − 1.223340I
−1.81144 − 1.97771I 0
u = 0.920288 + 0.193098I
a = 1.68632 + 0.01894I
b = −0.142587 − 0.330023I
−4.69016 − 1.86889I 0
u = 0.920288 − 0.193098I
a = 1.68632 − 0.01894I
b = −0.142587 + 0.330023I
−4.69016 + 1.86889I 0
u = −0.933790 + 0.502928I
a = −1.92033 + 0.14167I
b = 0.74017 + 1.36721I
−2.36535 + 2.64438I 0
u = −0.933790 − 0.502928I
a = −1.92033 − 0.14167I
b = 0.74017 − 1.36721I
−2.36535 − 2.64438I 0
u = −0.752593 + 0.555151I
a = 1.27984 − 0.77388I
b = −0.508967 + 1.178150I
−3.18084 − 4.82889I 0
u = −0.752593 − 0.555151I
a = 1.27984 + 0.77388I
b = −0.508967 − 1.178150I
−3.18084 + 4.82889I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.962052 + 0.472393I
a = 0.947301 + 0.777991I
b = −0.562454 − 0.445089I
−0.68104 − 4.52796I 0
u = 0.962052 − 0.472393I
a = 0.947301 − 0.777991I
b = −0.562454 + 0.445089I
−0.68104 + 4.52796I 0
u = −0.927959 + 0.546717I
a = 1.78009 − 1.12219I
b = −0.298418 − 1.176200I
0.86132 + 5.50688I 0
u = −0.927959 − 0.546717I
a = 1.78009 + 1.12219I
b = −0.298418 + 1.176200I
0.86132 − 5.50688I 0
u = 0.862784 + 0.647529I
a = 1.79561 − 0.09259I
b = −0.892374 + 0.355456I
−0.531355 − 0.315150I 0
u = 0.862784 − 0.647529I
a = 1.79561 + 0.09259I
b = −0.892374 − 0.355456I
−0.531355 + 0.315150I 0
u = −0.929216 + 0.548488I
a = −2.50749 + 1.30313I
b = 0.403587 + 1.273580I
−3.74473 + 9.25981I 0
u = −0.929216 − 0.548488I
a = −2.50749 − 1.30313I
b = 0.403587 − 1.273580I
−3.74473 − 9.25981I 0
u = −0.494517 + 0.775236I
a = −0.835495 + 0.964740I
b = 0.314735 − 1.096590I
−1.40064 − 3.37965I 0
u = −0.494517 − 0.775236I
a = −0.835495 − 0.964740I
b = 0.314735 + 1.096590I
−1.40064 + 3.37965I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.745108 + 0.533031I
a = −0.819488 + 0.194889I
b = 0.469794 − 1.019830I
1.44540 − 1.12902I 0
u = −0.745108 − 0.533031I
a = −0.819488 − 0.194889I
b = 0.469794 + 1.019830I
1.44540 + 1.12902I 0
u = 0.846135 + 0.680949I
a = −0.87372 − 1.61086I
b = 0.781059 + 0.286696I
−0.46757 − 4.83298I 0
u = 0.846135 − 0.680949I
a = −0.87372 + 1.61086I
b = 0.781059 − 0.286696I
−0.46757 + 4.83298I 0
u = 0.497703 + 0.969609I
a = −0.577743 − 0.960777I
b = 0.50813 + 1.40818I
−4.5667 + 13.6860I 0
u = 0.497703 − 0.969609I
a = −0.577743 + 0.960777I
b = 0.50813 − 1.40818I
−4.5667 − 13.6860I 0
u = 0.899949 + 0.026109I
a = 0.053027 − 0.660507I
b = −0.781072 + 0.757559I
−5.11875 − 7.52260I 0
u = 0.899949 − 0.026109I
a = 0.053027 + 0.660507I
b = −0.781072 − 0.757559I
−5.11875 + 7.52260I 0
u = 0.454645 + 1.003910I
a = 0.531985 + 0.718314I
b = −0.456897 − 1.165380I
1.25234 + 8.01007I 0
u = 0.454645 − 1.003910I
a = 0.531985 − 0.718314I
b = −0.456897 + 1.165380I
1.25234 − 8.01007I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.755803 + 0.807073I
a = 0.674900 + 0.453063I
b = −0.504716 + 0.121288I
4.27938 − 2.56531I 0
u = 0.755803 − 0.807073I
a = 0.674900 − 0.453063I
b = −0.504716 − 0.121288I
4.27938 + 2.56531I 0
u = −0.988668 + 0.549145I
a = 1.92942 + 0.47745I
b = −0.093778 − 1.210400I
−7.58916 + 2.94599I 0
u = −0.988668 − 0.549145I
a = 1.92942 − 0.47745I
b = −0.093778 + 1.210400I
−7.58916 − 2.94599I 0
u = 1.131400 + 0.018140I
a = 0.075162 + 0.856351I
b = 0.32791 + 1.54096I
−11.62080 + 2.99703I 0
u = 1.131400 − 0.018140I
a = 0.075162 − 0.856351I
b = 0.32791 − 1.54096I
−11.62080 − 2.99703I 0
u = 0.860921 + 0.087614I
a = −0.808976 − 0.775104I
b = 0.674962 + 0.527357I
−0.76882 + 2.98750I 0
u = 0.860921 − 0.087614I
a = −0.808976 + 0.775104I
b = 0.674962 − 0.527357I
−0.76882 − 2.98750I 0
u = −1.13984
a = −0.114348
b = −0.461190
−3.03955 0
u = 1.155530 + 0.099526I
a = 0.147461 − 0.992916I
b = −0.141041 − 1.320740I
−6.72991 + 1.45384I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.155530 − 0.099526I
a = 0.147461 + 0.992916I
b = −0.141041 + 1.320740I
−6.72991 − 1.45384I 0
u = 1.144740 + 0.199411I
a = −0.35165 + 1.50440I
b = −0.043128 + 1.385020I
−9.40620 + 0.76476I 0
u = 1.144740 − 0.199411I
a = −0.35165 − 1.50440I
b = −0.043128 − 1.385020I
−9.40620 − 0.76476I 0
u = −0.485767 + 0.677712I
a = 0.218415 + 1.321570I
b = −0.176700 − 1.186180I
−6.17315 + 1.74985I 0
u = −0.485767 − 0.677712I
a = 0.218415 − 1.321570I
b = −0.176700 + 1.186180I
−6.17315 − 1.74985I 0
u = 0.935981 + 0.701600I
a = −0.903640 − 0.073609I
b = 0.657337 − 0.177243I
3.70490 − 3.08312I 0
u = 0.935981 − 0.701600I
a = −0.903640 + 0.073609I
b = 0.657337 + 0.177243I
3.70490 + 3.08312I 0
u = −0.461813 + 1.076340I
a = 0.123942 − 0.416815I
b = −0.222305 + 1.106570I
1.53986 − 0.40085I 0
u = −0.461813 − 1.076340I
a = 0.123942 + 0.416815I
b = −0.222305 − 1.106570I
1.53986 + 0.40085I 0
u = −0.424273 + 0.710187I
a = 1.050440 − 0.769200I
b = 0.116913 + 1.130750I
−4.75615 − 3.11449I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.424273 − 0.710187I
a = 1.050440 + 0.769200I
b = 0.116913 − 1.130750I
−4.75615 + 3.11449I 0
u = 0.878671 + 0.778101I
a = −0.235223 + 0.740583I
b = −0.016774 − 0.337626I
4.11715 − 2.92863I 0
u = 0.878671 − 0.778101I
a = −0.235223 − 0.740583I
b = −0.016774 + 0.337626I
4.11715 + 2.92863I 0
u = −1.131800 + 0.380914I
a = −0.420025 − 0.499001I
b = −0.0396237 − 0.1046570I
−4.53919 − 1.10559I 0
u = −1.131800 − 0.380914I
a = −0.420025 + 0.499001I
b = −0.0396237 + 0.1046570I
−4.53919 + 1.10559I 0
u = 0.428072 + 1.116620I
a = −0.239567 + 0.629532I
b = 0.184554 − 1.195220I
−4.80389 − 7.59082I 0
u = 0.428072 − 1.116620I
a = −0.239567 − 0.629532I
b = 0.184554 + 1.195220I
−4.80389 + 7.59082I 0
u = 0.244322 + 0.763715I
a = 0.600458 + 1.243630I
b = −0.51089 − 1.34454I
−6.54158 + 6.40521I 0
u = 0.244322 − 0.763715I
a = 0.600458 − 1.243630I
b = −0.51089 + 1.34454I
−6.54158 − 6.40521I 0
u = −1.028890 + 0.643542I
a = −0.951819 + 0.613503I
b = 1.090380 − 0.084335I
2.85419 + 8.48349I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.028890 − 0.643542I
a = −0.951819 − 0.613503I
b = 1.090380 + 0.084335I
2.85419 − 8.48349I 0
u = 1.026610 + 0.656866I
a = 0.913624 + 0.663245I
b = −0.869952 + 0.161082I
1.36684 − 6.43444I 0
u = 1.026610 − 0.656866I
a = 0.913624 − 0.663245I
b = −0.869952 − 0.161082I
1.36684 + 6.43444I 0
u = −1.034120 + 0.650749I
a = 1.33656 − 0.79607I
b = −1.341430 − 0.290208I
−1.06692 + 13.24390I 0
u = −1.034120 − 0.650749I
a = 1.33656 + 0.79607I
b = −1.341430 + 0.290208I
−1.06692 − 13.24390I 0
u = −1.036470 + 0.657233I
a = 0.321897 − 0.048454I
b = −0.506509 + 0.536543I
−1.50778 + 3.44001I 0
u = −1.036470 − 0.657233I
a = 0.321897 + 0.048454I
b = −0.506509 − 0.536543I
−1.50778 − 3.44001I 0
u = −0.193897 + 0.747769I
a = −0.123482 − 0.749627I
b = 0.435742 − 0.052047I
−1.46409 + 5.31554I 0
u = −0.193897 − 0.747769I
a = −0.123482 + 0.749627I
b = 0.435742 + 0.052047I
−1.46409 − 5.31554I 0
u = −1.085880 + 0.602466I
a = −2.19257 + 0.10567I
b = 0.057030 + 1.145030I
−6.65585 + 8.17696I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.085880 − 0.602466I
a = −2.19257 − 0.10567I
b = 0.057030 − 1.145030I
−6.65585 − 8.17696I 0
u = −1.223920 + 0.212916I
a = 0.551654 − 0.417509I
b = 0.25742 − 1.44087I
−11.26070 − 3.15369I 0
u = −1.223920 − 0.212916I
a = 0.551654 + 0.417509I
b = 0.25742 + 1.44087I
−11.26070 + 3.15369I 0
u = 1.115420 + 0.555165I
a = −1.73493 − 0.44082I
b = 0.60801 − 1.52221I
−9.0018 − 11.2591I 0
u = 1.115420 − 0.555165I
a = −1.73493 + 0.44082I
b = 0.60801 + 1.52221I
−9.0018 + 11.2591I 0
u = −1.080100 + 0.638350I
a = 1.93828 − 0.18969I
b = −0.432637 − 1.192120I
−3.13151 + 8.73787I 0
u = −1.080100 − 0.638350I
a = 1.93828 + 0.18969I
b = −0.432637 + 1.192120I
−3.13151 − 8.73787I 0
u = −1.069400 + 0.657510I
a = −2.10266 + 0.16500I
b = 0.67842 + 1.48081I
−7.47993 + 10.00560I 0
u = −1.069400 − 0.657510I
a = −2.10266 − 0.16500I
b = 0.67842 − 1.48081I
−7.47993 − 10.00560I 0
u = 0.883864 + 0.898384I
a = 0.571431 − 0.953075I
b = −0.069957 + 1.059620I
−2.26175 − 3.27409I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.883864 − 0.898384I
a = 0.571431 + 0.953075I
b = −0.069957 − 1.059620I
−2.26175 + 3.27409I 0
u = 1.164450 + 0.485011I
a = 1.37316 + 0.66631I
b = −0.466417 + 1.117420I
−3.73784 − 5.50971I 0
u = 1.164450 − 0.485011I
a = 1.37316 − 0.66631I
b = −0.466417 − 1.117420I
−3.73784 + 5.50971I 0
u = −0.988653 + 0.792948I
a = 1.065560 + 0.651378I
b = −0.062276 − 1.351850I
−6.85521 + 3.07643I 0
u = −0.988653 − 0.792948I
a = 1.065560 − 0.651378I
b = −0.062276 + 1.351850I
−6.85521 − 3.07643I 0
u = 0.169671 + 1.284080I
a = −0.129964 − 0.341110I
b = 0.041536 + 0.984754I
0.805604 + 0.098939I 0
u = 0.169671 − 1.284080I
a = −0.129964 + 0.341110I
b = 0.041536 − 0.984754I
0.805604 − 0.098939I 0
u = −0.501630 + 0.485784I
a = −0.584767 − 1.282520I
b = −0.198643 + 0.984576I
−1.35909 + 1.35048I 0
u = −0.501630 − 0.485784I
a = −0.584767 + 1.282520I
b = −0.198643 − 0.984576I
−1.35909 − 1.35048I 0
u = 1.301010 + 0.171769I
a = −0.226228 − 1.015520I
b = −0.143960 − 1.260500I
−6.90597 + 2.14069I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.301010 − 0.171769I
a = −0.226228 + 1.015520I
b = −0.143960 + 1.260500I
−6.90597 − 2.14069I 0
u = −1.149280 + 0.638413I
a = 1.66792 − 0.61998I
b = −0.38156 − 1.38786I
−3.53535 + 10.94670I 0
u = −1.149280 − 0.638413I
a = 1.66792 + 0.61998I
b = −0.38156 + 1.38786I
−3.53535 − 10.94670I 0
u = −1.318610 + 0.046130I
a = 0.097757 − 0.707765I
b = −0.28782 − 1.43342I
−11.6336 + 11.0456I 0
u = −1.318610 − 0.046130I
a = 0.097757 + 0.707765I
b = −0.28782 + 1.43342I
−11.6336 − 11.0456I 0
u = 1.144990 + 0.696831I
a = 1.81221 + 0.24061I
b = −0.54895 + 1.49666I
−6.5752 − 19.7560I 0
u = 1.144990 − 0.696831I
a = 1.81221 − 0.24061I
b = −0.54895 − 1.49666I
−6.5752 + 19.7560I 0
u = 1.165280 + 0.691305I
a = −1.55872 − 0.29980I
b = 0.525792 − 1.296030I
−0.9503 − 14.1294I 0
u = 1.165280 − 0.691305I
a = −1.55872 + 0.29980I
b = 0.525792 + 1.296030I
−0.9503 + 14.1294I 0
u = −0.625616 + 0.155840I
a = 1.49878 + 1.37817I
b = 0.856010 − 0.911674I
−4.15812 + 2.21857I −10.23270 − 1.29777I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.625616 − 0.155840I
a = 1.49878 − 1.37817I
b = 0.856010 + 0.911674I
−4.15812 − 2.21857I −10.23270 + 1.29777I
u = −1.159520 + 0.702607I
a = −1.293500 + 0.281093I
b = 0.318924 + 1.288230I
−0.64888 + 6.67031I 0
u = −1.159520 − 0.702607I
a = −1.293500 − 0.281093I
b = 0.318924 − 1.288230I
−0.64888 − 6.67031I 0
u = 0.184247 + 0.611629I
a = −1.013330 + 0.435423I
b = 0.315888 + 0.182820I
1.35447 + 1.08178I 4.62061 − 1.33344I
u = 0.184247 − 0.611629I
a = −1.013330 − 0.435423I
b = 0.315888 − 0.182820I
1.35447 − 1.08178I 4.62061 + 1.33344I
u = −1.399140 + 0.066227I
a = −0.100625 + 0.513907I
b = 0.124507 + 1.236640I
−6.01900 + 4.79075I 0
u = −1.399140 − 0.066227I
a = −0.100625 − 0.513907I
b = 0.124507 − 1.236640I
−6.01900 − 4.79075I 0
u = 1.274040 + 0.584375I
a = −0.971022 − 0.227923I
b = −0.005336 − 1.197860I
−7.82918 + 1.23942I 0
u = 1.274040 − 0.584375I
a = −0.971022 + 0.227923I
b = −0.005336 + 1.197860I
−7.82918 − 1.23942I 0
u = 1.29492 + 0.66770I
a = 1.012120 + 0.307481I
b = −0.272649 + 1.028880I
−2.82654 − 6.55379I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.29492 − 0.66770I
a = 1.012120 − 0.307481I
b = −0.272649 − 1.028880I
−2.82654 + 6.55379I 0
u = −0.134665 + 0.516314I
a = −1.127400 − 0.395684I
b = 0.368115 + 0.849144I
−0.33270 + 1.63320I −1.58301 − 6.19915I
u = −0.134665 − 0.516314I
a = −1.127400 + 0.395684I
b = 0.368115 − 0.849144I
−0.33270 − 1.63320I −1.58301 + 6.19915I
u = 0.0006764 + 0.1050580I
a = 7.24749 − 4.20866I
b = −0.800432 − 0.053864I
−2.64673 − 1.18438I −3.88156 + 0.65811I
u = 0.0006764 − 0.1050580I
a = 7.24749 + 4.20866I
b = −0.800432 + 0.053864I
−2.64673 + 1.18438I −3.88156 − 0.65811I
19
II. I
u
2
= h−47244u
25
+ 102u
24
+ · · · + 21943b − 77421, 2.10 × 10
6
u
25
− 1.41 ×
10
6
u
24
+ · · · + 4.17 × 10
5
a + 2.69 × 10
6
, u
26
− 5u
24
+ · · · + 3u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
−5.04325u
25
+ 3.37030u
24
+ ··· − 16.9290u − 6.44564
2.15303u
25
− 0.00464841u
24
+ ··· + 4.48722u + 3.52828
a
4
=
3.83626u
25
− 2.78883u
24
+ ··· + 9.50178u + 3.33817
−1.60418u
25
+ 1.18609u
24
+ ··· − 5.22510u − 3.43029
a
11
=
−2.89022u
25
+ 3.36565u
24
+ ··· − 12.4418u − 2.91736
2.15303u
25
− 0.00464841u
24
+ ··· + 4.48722u + 3.52828
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
5.37258u
25
− 2.09059u
24
+ ··· + 8.04034u + 7.15637
u
25
− 5u
23
+ ··· − 2u − 1
a
8
=
−5.55267u
25
+ 1.69373u
24
+ ··· − 6.43436u − 4.63244
1.23144u
25
− 1.06057u
24
+ ··· + 4.79396u + 2.84654
a
9
=
−4.63895u
25
+ 3.26592u
24
+ ··· − 16.7292u − 6.59576
1.08140u
25
+ 0.609044u
24
+ ··· + 1.39856u + 1.64147
a
12
=
−4.97845u
25
+ 1.53970u
24
+ ··· − 4.98950u − 3.54636
0.383091u
25
− 0.689295u
24
+ ··· + 3.77549u + 1.73269
(ii) Obstruction class = 1
(iii) Cusp Shapes =
781139
416917
u
25
+
2572408
416917
u
24
+ ··· −
9097869
416917
u +
706034
416917
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
26
− 10u
25
+ ··· − 11u + 1
c
2
u
26
− 5u
24
+ ··· − 3u + 1
c
3
u
26
+ u
25
+ ··· + 9u
2
+ 1
c
4
u
26
− 3u
25
+ ··· + 3u + 1
c
5
u
26
− 4u
25
+ ··· + 5u + 1
c
6
u
26
− 5u
24
+ ··· + 3u + 1
c
7
u
26
+ 2u
25
+ ··· − 6u + 1
c
8
u
26
+ 4u
25
+ ··· − 48u + 11
c
9
u
26
− 8u
25
+ ··· − 6u + 1
c
10
u
26
+ 4u
25
+ ··· − 5u + 1
c
11
u
26
− 4u
25
+ ··· + 48u + 11
c
12
u
26
− u
25
+ ··· − u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
26
+ 2y
25
+ ··· + 13y + 1
c
2
, c
6
y
26
− 10y
25
+ ··· − 11y + 1
c
3
y
26
− 3y
25
+ ··· + 18y + 1
c
4
y
26
+ 3y
25
+ ··· + 15y + 1
c
5
, c
10
y
26
+ 30y
25
+ ··· + 19y + 1
c
7
y
26
− 14y
25
+ ··· + 20y + 1
c
8
, c
11
y
26
− 18y
25
+ ··· − 2524y + 121
c
9
y
26
− 16y
25
+ ··· − 8y + 1
c
12
y
26
− y
25
+ ··· + 21y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.888819 + 0.477021I
a = 1.87404 − 1.92505I
b = 1.05848 + 2.94546I
−2.98236 − 1.91346I −46.3739 + 16.8381I
u = 0.888819 − 0.477021I
a = 1.87404 + 1.92505I
b = 1.05848 − 2.94546I
−2.98236 + 1.91346I −46.3739 − 16.8381I
u = 0.950096 + 0.105300I
a = −1.04556 + 1.51711I
b = 0.02606 + 1.44483I
−9.64169 − 0.45913I −12.29896 + 1.25151I
u = 0.950096 − 0.105300I
a = −1.04556 − 1.51711I
b = 0.02606 − 1.44483I
−9.64169 + 0.45913I −12.29896 − 1.25151I
u = −0.836394 + 0.408225I
a = −0.815560 + 1.062110I
b = 1.47946 − 0.31985I
−3.43715 + 2.67047I −5.84555 − 1.97710I
u = −0.836394 − 0.408225I
a = −0.815560 − 1.062110I
b = 1.47946 + 0.31985I
−3.43715 − 2.67047I −5.84555 + 1.97710I
u = −0.898480 + 0.151100I
a = −0.768484 − 0.604284I
b = −0.424965 − 0.048012I
−3.73699 − 0.15470I −8.21916 − 0.36868I
u = −0.898480 − 0.151100I
a = −0.768484 + 0.604284I
b = −0.424965 + 0.048012I
−3.73699 + 0.15470I −8.21916 + 0.36868I
u = 0.854020 + 0.778894I
a = 0.217068 + 0.603355I
b = −0.124533 + 0.392694I
−0.50120 − 2.95395I 3.00831 + 6.26428I
u = 0.854020 − 0.778894I
a = 0.217068 − 0.603355I
b = −0.124533 − 0.392694I
−0.50120 + 2.95395I 3.00831 − 6.26428I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.876887 + 0.801384I
a = 0.289341 − 0.701787I
b = −0.023613 + 0.462798I
3.94649 − 2.99509I −22.5732 + 10.2806I
u = 0.876887 − 0.801384I
a = 0.289341 + 0.701787I
b = −0.023613 − 0.462798I
3.94649 + 2.99509I −22.5732 − 10.2806I
u = −1.065380 + 0.581347I
a = 2.24859 − 0.73998I
b = −0.468902 − 1.235170I
−5.20411 + 10.51370I −7.64573 − 10.23724I
u = −1.065380 − 0.581347I
a = 2.24859 + 0.73998I
b = −0.468902 + 1.235170I
−5.20411 − 10.51370I −7.64573 + 10.23724I
u = −0.573675 + 0.533486I
a = −1.98979 + 1.09796I
b = 0.452445 − 1.071470I
−3.60075 − 5.88926I −4.37844 + 7.44246I
u = −0.573675 − 0.533486I
a = −1.98979 − 1.09796I
b = 0.452445 + 1.071470I
−3.60075 + 5.88926I −4.37844 − 7.44246I
u = 0.376160 + 0.638213I
a = 0.498647 − 0.199528I
b = 0.272548 − 1.021790I
−3.48727 − 6.71278I −3.23759 + 5.40958I
u = 0.376160 − 0.638213I
a = 0.498647 + 0.199528I
b = 0.272548 + 1.021790I
−3.48727 + 6.71278I −3.23759 − 5.40958I
u = −0.145387 + 1.257280I
a = 0.126642 − 0.395433I
b = −0.118773 + 1.029560I
0.734680 − 0.498319I −4.5995 + 13.5897I
u = −0.145387 − 1.257280I
a = 0.126642 + 0.395433I
b = −0.118773 − 1.029560I
0.734680 + 0.498319I −4.5995 − 13.5897I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.301540 + 0.265390I
a = −0.277022 − 0.926764I
b = −0.137045 − 1.234660I
−7.20108 + 2.53953I −10.4085 − 10.4959I
u = 1.301540 − 0.265390I
a = −0.277022 + 0.926764I
b = −0.137045 + 1.234660I
−7.20108 − 2.53953I −10.4085 + 10.4959I
u = −1.240980 + 0.617037I
a = −1.186400 + 0.393675I
b = 0.281250 + 1.055900I
−3.07979 + 6.40019I −14.1041 − 4.4422I
u = −1.240980 − 0.617037I
a = −1.186400 − 0.393675I
b = 0.281250 − 1.055900I
−3.07979 − 6.40019I −14.1041 + 4.4422I
u = −0.487226 + 0.239105I
a = 2.32849 − 0.59807I
b = −0.272412 + 0.733672I
0.35774 − 2.28279I 0.17642 + 4.90888I
u = −0.487226 − 0.239105I
a = 2.32849 + 0.59807I
b = −0.272412 − 0.733672I
0.35774 + 2.28279I 0.17642 − 4.90888I
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
26
− 10u
25
+ ··· − 11u + 1)(u
145
+ 59u
144
+ ··· − 292549u + 1849)
c
2
(u
26
− 5u
24
+ ··· − 3u + 1)(u
145
− u
144
+ ··· + 111u + 43)
c
3
(u
26
+ u
25
+ ··· + 9u
2
+ 1)(u
145
+ 6u
143
+ ··· − 200298u + 49447)
c
4
(u
26
− 3u
25
+ ··· + 3u + 1)(u
145
− 2u
144
+ ··· + 13u − 1)
c
5
(u
26
− 4u
25
+ ··· + 5u + 1)(u
145
− 3u
144
+ ··· + 85723u + 9799)
c
6
(u
26
− 5u
24
+ ··· + 3u + 1)(u
145
− u
144
+ ··· + 111u + 43)
c
7
(u
26
+ 2u
25
+ ··· − 6u + 1)(u
145
− 11u
144
+ ··· − 3598960u + 268027)
c
8
(u
26
+ 4u
25
+ ··· − 48u + 11)(u
145
− u
144
+ ··· − 6u − 1)
c
9
(u
26
− 8u
25
+ ··· − 6u + 1)(u
145
+ u
144
+ ··· − 1852u − 8809)
c
10
(u
26
+ 4u
25
+ ··· − 5u + 1)(u
145
− 3u
144
+ ··· + 85723u + 9799)
c
11
(u
26
− 4u
25
+ ··· + 48u + 11)(u
145
− u
144
+ ··· − 6u − 1)
c
12
(u
26
− u
25
+ ··· − u + 1)(u
145
+ 12u
144
+ ··· + 14475u + 983)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
26
+ 2y
25
+ ··· + 13y + 1)
· (y
145
+ 45y
144
+ ··· + 56069800047y −3418801)
c
2
, c
6
(y
26
− 10y
25
+ ··· − 11y + 1)(y
145
− 59y
144
+ ··· − 292549y −1849)
c
3
(y
26
− 3y
25
+ ··· + 18y + 1)
· (y
145
+ 12y
144
+ ··· + 12484646126y −2445005809)
c
4
(y
26
+ 3y
25
+ ··· + 15y + 1)(y
145
− 2y
144
+ ··· − 995y −1)
c
5
, c
10
(y
26
+ 30y
25
+ ··· + 19y + 1)
· (y
145
+ 117y
144
+ ··· − 14395117115y −96020401)
c
7
(y
26
− 14y
25
+ ··· + 20y + 1)
· (y
145
− 47y
144
+ ··· + 2169230447548y −71838472729)
c
8
, c
11
(y
26
− 18y
25
+ ··· − 2524y + 121)(y
145
− 111y
144
+ ··· + 244y −1)
c
9
(y
26
− 16y
25
+ ··· − 8y + 1)
· (y
145
− 37y
144
+ ··· + 6073711804y −77598481)
c
12
(y
26
− y
25
+ ··· + 21y + 1)
· (y
145
+ 30y
144
+ ··· − 94703045y −966289)
29
