12n
0775
(K12n
0775
)
A knot diagram
1
Linearized knot diagam
4 7 9 11 12 3 5 1 3 8 7 10
Solving Sequence
4,9
3
7,10
2 1 6 8 11 12 5
c
3
c
9
c
2
c
1
c
6
c
8
c
10
c
12
c
5
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h4.72946 × 10
550
u
111
+ 2.16316 × 10
551
u
110
+ ··· + 4.92224 × 10
554
b − 1.20545 × 10
554
,
− 9.48171 × 10
554
u
111
− 4.01791 × 10
555
u
110
+ ··· + 3.37616 × 10
558
a + 3.78754 × 10
559
,
u
112
+ 4u
111
+ ··· − 58325u − 6859i
I
u
2
= h6.07912 × 10
52
u
46
+ 2.17727 × 10
53
u
45
+ ··· + 2.21125 × 10
51
b − 7.40591 × 10
51
,
− 9.90092 × 10
52
u
46
− 3.59271 × 10
53
u
45
+ ··· + 2.21125 × 10
51
a + 1.90357 × 10
52
, u
47
+ 3u
46
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 159 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
= h4.73 × 10
550
u
111
+ 2.16 × 10
551
u
110
+ · · · + 4.92 × 10
554
b − 1.21 ×
10
554
, −9.48 × 10
554
u
111
− 4.02 × 10
555
u
110
+ · · · + 3.38 × 10
558
a + 3.79 ×
10
559
, u
112
+ 4u
111
+ · · · − 58325u − 6859i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
7
=
0.000280843u
111
+ 0.00119008u
110
+ ··· − 32.1239u − 11.2185
−0.0000960836u
111
− 0.000439467u
110
+ ··· + 4.92015u + 0.244899
a
10
=
u
u
3
+ u
a
2
=
−0.000138137u
111
− 0.000302670u
110
+ ··· + 2.66029u − 2.85809
5.61677 × 10
−6
u
111
− 0.0000925256u
110
+ ··· + 11.2653u + 1.87081
a
1
=
−0.000132520u
111
− 0.000395196u
110
+ ··· + 13.9256u − 0.987279
5.61677 × 10
−6
u
111
− 0.0000925256u
110
+ ··· + 11.2653u + 1.87081
a
6
=
0.000313936u
111
+ 0.00143159u
110
+ ··· − 33.0210u − 11.4311
−0.000175323u
111
− 0.000907347u
110
+ ··· + 11.5124u + 0.993446
a
8
=
−0.000245594u
111
− 0.000947597u
110
+ ··· + 34.1586u + 7.91000
0.000161105u
111
+ 0.000657051u
110
+ ··· − 4.86191u − 0.127743
a
11
=
0.000328032u
111
+ 0.00138695u
110
+ ··· − 39.0729u − 7.92306
−0.0000170292u
111
− 0.000100765u
110
+ ··· + 0.692184u − 0.497656
a
12
=
−0.000127367u
111
− 0.000200399u
110
+ ··· + 4.99895u − 2.21822
−0.0000483797u
111
− 0.000392963u
110
+ ··· + 12.5333u + 1.83459
a
5
=
0.000227088u
111
+ 0.000766160u
110
+ ··· − 1.60868u − 2.46399
−0.0000568114u
111
− 0.000133618u
110
+ ··· − 5.98721u − 0.924727
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.000127691u
111
+ 0.000648814u
110
+ ··· − 28.0526u + 4.80987
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
112
− 9u
111
+ ··· − 8787594026u + 1142120643
c
2
, c
6
u
112
+ 4u
111
+ ··· − 15875381u − 1020181
c
3
, c
9
u
112
+ 4u
111
+ ··· − 58325u − 6859
c
4
u
112
+ 3u
111
+ ··· − 55496u − 8997
c
5
u
112
− u
111
+ ··· − 458318546098u + 137795579005
c
7
u
112
+ 6u
111
+ ··· + 437u + 19
c
8
u
112
+ u
111
+ ··· − 85u − 1
c
10
u
112
− 3u
111
+ ··· + 13903468u + 3529277
c
11
u
112
− 7u
111
+ ··· + 8027953u + 4448443
c
12
u
112
+ 4u
111
+ ··· + 29852667u + 2796781
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
112
− 75y
111
+ ··· − 1.37 × 10
19
y + 1.30 × 10
18
c
2
, c
6
y
112
− 112y
111
+ ··· + 38800688855225y + 1040769272761
c
3
, c
9
y
112
+ 78y
111
+ ··· − 34516755y + 47045881
c
4
y
112
+ 31y
111
+ ··· + 1564391402y + 80946009
c
5
y
112
− 55y
111
+ ··· + 9.87 × 10
22
y + 1.90 × 10
22
c
7
y
112
− 2y
111
+ ··· − 23009y + 361
c
8
y
112
− 7y
111
+ ··· + 15211y + 1
c
10
y
112
− 17y
111
+ ··· + 813550693297028y + 12455796142729
c
11
y
112
− 101y
111
+ ··· + 1303442294494373y + 19788645124249
c
12
y
112
− 50y
111
+ ··· + 1010612326184383y + 7821983961961
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.820472 + 0.562696I
a = −0.610188 + 0.796078I
b = 0.749858 − 0.604560I
−4.54077 − 2.35893I 0
u = 0.820472 − 0.562696I
a = −0.610188 − 0.796078I
b = 0.749858 + 0.604560I
−4.54077 + 2.35893I 0
u = 0.192272 + 0.988334I
a = 0.134561 + 1.314880I
b = −0.360895 + 0.348983I
4.95567 + 0.74367I 0
u = 0.192272 − 0.988334I
a = 0.134561 − 1.314880I
b = −0.360895 − 0.348983I
4.95567 − 0.74367I 0
u = 0.683818 + 0.687327I
a = 0.166713 − 0.372936I
b = −0.330665 − 0.119114I
1.37759 + 2.46422I 0
u = 0.683818 − 0.687327I
a = 0.166713 + 0.372936I
b = −0.330665 + 0.119114I
1.37759 − 2.46422I 0
u = 0.515372 + 0.912803I
a = 0.42132 − 1.50020I
b = −0.323125 + 1.248830I
−5.60049 + 7.43511I 0
u = 0.515372 − 0.912803I
a = 0.42132 + 1.50020I
b = −0.323125 − 1.248830I
−5.60049 − 7.43511I 0
u = −0.251961 + 0.906396I
a = 0.76478 − 1.54270I
b = −1.165860 − 0.019395I
2.58226 − 1.11403I 0
u = −0.251961 − 0.906396I
a = 0.76478 + 1.54270I
b = −1.165860 + 0.019395I
2.58226 + 1.11403I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.230071 + 0.883448I
a = 0.055779 − 0.188613I
b = 0.757231 + 0.273492I
−3.63124 + 0.79197I 0
u = −0.230071 − 0.883448I
a = 0.055779 + 0.188613I
b = 0.757231 − 0.273492I
−3.63124 − 0.79197I 0
u = −0.625382 + 0.892347I
a = 1.43689 − 1.91980I
b = −2.45987 + 0.62363I
4.79451 − 2.46272I 0
u = −0.625382 − 0.892347I
a = 1.43689 + 1.91980I
b = −2.45987 − 0.62363I
4.79451 + 2.46272I 0
u = 0.535431 + 0.976259I
a = 0.220208 + 0.415433I
b = −0.145589 − 0.236451I
0.39793 + 2.25572I 0
u = 0.535431 − 0.976259I
a = 0.220208 − 0.415433I
b = −0.145589 + 0.236451I
0.39793 − 2.25572I 0
u = 0.370960 + 1.052540I
a = −1.314470 + 0.505056I
b = 0.96982 − 1.30873I
−3.79912 + 5.92613I 0
u = 0.370960 − 1.052540I
a = −1.314470 − 0.505056I
b = 0.96982 + 1.30873I
−3.79912 − 5.92613I 0
u = −0.810666 + 0.304232I
a = 0.046719 − 0.197447I
b = 1.208720 − 0.245075I
−3.14523 + 0.13283I 0
u = −0.810666 − 0.304232I
a = 0.046719 + 0.197447I
b = 1.208720 + 0.245075I
−3.14523 − 0.13283I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.029973 + 1.144160I
a = 0.904002 − 0.401965I
b = −0.55721 + 1.38898I
−2.17519 − 5.17005I 0
u = −0.029973 − 1.144160I
a = 0.904002 + 0.401965I
b = −0.55721 − 1.38898I
−2.17519 + 5.17005I 0
u = −0.760594 + 0.373854I
a = 0.191943 − 0.611863I
b = −0.070552 − 0.361483I
0.05174 + 3.76897I 0
u = −0.760594 − 0.373854I
a = 0.191943 + 0.611863I
b = −0.070552 + 0.361483I
0.05174 − 3.76897I 0
u = −0.459153 + 1.057810I
a = −0.79656 + 1.24755I
b = 0.692312 − 0.581892I
−5.26545 − 4.52408I 0
u = −0.459153 − 1.057810I
a = −0.79656 − 1.24755I
b = 0.692312 + 0.581892I
−5.26545 + 4.52408I 0
u = 1.044220 + 0.536131I
a = 0.130077 + 1.360110I
b = −1.021250 − 0.147732I
0.14579 + 5.18168I 0
u = 1.044220 − 0.536131I
a = 0.130077 − 1.360110I
b = −1.021250 + 0.147732I
0.14579 − 5.18168I 0
u = −0.126808 + 0.779708I
a = 0.25097 + 1.83833I
b = −0.355896 − 0.381890I
−0.86855 + 4.51509I 0
u = −0.126808 − 0.779708I
a = 0.25097 − 1.83833I
b = −0.355896 + 0.381890I
−0.86855 − 4.51509I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.482246 + 0.610736I
a = −0.335837 + 0.313447I
b = 1.389450 − 0.115206I
−3.36847 + 0.61627I 0
u = −0.482246 − 0.610736I
a = −0.335837 − 0.313447I
b = 1.389450 + 0.115206I
−3.36847 − 0.61627I 0
u = −0.413576 + 1.156490I
a = −0.194129 + 0.092382I
b = 0.401166 + 0.631290I
−4.20708 − 6.00888I 0
u = −0.413576 − 1.156490I
a = −0.194129 − 0.092382I
b = 0.401166 − 0.631290I
−4.20708 + 6.00888I 0
u = −0.067809 + 1.235900I
a = −2.39842 + 0.29783I
b = 2.08495 − 0.10259I
−5.65446 − 2.17511I 0
u = −0.067809 − 1.235900I
a = −2.39842 − 0.29783I
b = 2.08495 + 0.10259I
−5.65446 + 2.17511I 0
u = −0.602494 + 1.083240I
a = −0.1057130 − 0.0812277I
b = −0.436934 + 0.197677I
−1.99769 − 8.93050I 0
u = −0.602494 − 1.083240I
a = −0.1057130 + 0.0812277I
b = −0.436934 − 0.197677I
−1.99769 + 8.93050I 0
u = −0.249742 + 1.234070I
a = −2.19288 + 0.51178I
b = 2.10567 + 0.54100I
−5.63157 − 3.78862I 0
u = −0.249742 − 1.234070I
a = −2.19288 − 0.51178I
b = 2.10567 − 0.54100I
−5.63157 + 3.78862I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.666204 + 1.070400I
a = 0.513000 + 0.183372I
b = −1.163080 − 0.268835I
−1.86055 + 1.14037I 0
u = 0.666204 − 1.070400I
a = 0.513000 − 0.183372I
b = −1.163080 + 0.268835I
−1.86055 − 1.14037I 0
u = −0.085971 + 1.263370I
a = 1.092920 + 0.492671I
b = −0.89546 − 1.54696I
−0.319616 − 0.226105I 0
u = −0.085971 − 1.263370I
a = 1.092920 − 0.492671I
b = −0.89546 + 1.54696I
−0.319616 + 0.226105I 0
u = −0.203736 + 1.268160I
a = −0.0034625 − 0.0350637I
b = 0.137235 + 0.814280I
−5.70721 − 0.73948I 0
u = −0.203736 − 1.268160I
a = −0.0034625 + 0.0350637I
b = 0.137235 − 0.814280I
−5.70721 + 0.73948I 0
u = −1.288250 + 0.075127I
a = 0.094427 − 0.327496I
b = 1.82157 − 0.04101I
−6.92130 − 3.75023I 0
u = −1.288250 − 0.075127I
a = 0.094427 + 0.327496I
b = 1.82157 + 0.04101I
−6.92130 + 3.75023I 0
u = −0.044785 + 1.300280I
a = 2.60956 + 0.17251I
b = −2.83914 − 0.48601I
−9.59880 − 6.71685I 0
u = −0.044785 − 1.300280I
a = 2.60956 − 0.17251I
b = −2.83914 + 0.48601I
−9.59880 + 6.71685I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.066281 + 1.303150I
a = −1.03065 − 1.21787I
b = 0.99259 + 2.58235I
−2.34168 − 6.96805I 0
u = −0.066281 − 1.303150I
a = −1.03065 + 1.21787I
b = 0.99259 − 2.58235I
−2.34168 + 6.96805I 0
u = −0.661126 + 0.186885I
a = 0.974380 + 0.107720I
b = 0.451910 − 0.045072I
−1.30680 + 1.95430I −2.00000 − 3.74794I
u = −0.661126 − 0.186885I
a = 0.974380 − 0.107720I
b = 0.451910 + 0.045072I
−1.30680 − 1.95430I −2.00000 + 3.74794I
u = −0.205430 + 1.314940I
a = 1.68962 − 0.69503I
b = −1.79990 + 0.80722I
−9.26055 − 4.29629I 0
u = −0.205430 − 1.314940I
a = 1.68962 + 0.69503I
b = −1.79990 − 0.80722I
−9.26055 + 4.29629I 0
u = 1.345730 + 0.066228I
a = 0.380481 − 0.166342I
b = 2.11618 − 0.08970I
−5.52257 + 1.61467I 0
u = 1.345730 − 0.066228I
a = 0.380481 + 0.166342I
b = 2.11618 + 0.08970I
−5.52257 − 1.61467I 0
u = 0.618605 + 0.165341I
a = 0.811260 − 0.887395I
b = 0.445574 + 0.782574I
−1.45852 − 2.39541I −2.76939 + 2.29844I
u = 0.618605 − 0.165341I
a = 0.811260 + 0.887395I
b = 0.445574 − 0.782574I
−1.45852 + 2.39541I −2.76939 − 2.29844I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.253530 + 1.337200I
a = −1.82896 − 0.48628I
b = 1.65501 − 0.68419I
−6.63750 + 6.21609I 0
u = 0.253530 − 1.337200I
a = −1.82896 + 0.48628I
b = 1.65501 + 0.68419I
−6.63750 − 6.21609I 0
u = 0.285422 + 0.536350I
a = 1.40090 − 0.81746I
b = −0.035432 − 0.217193I
0.82427 + 2.54264I 6.91993 − 6.04740I
u = 0.285422 − 0.536350I
a = 1.40090 + 0.81746I
b = −0.035432 + 0.217193I
0.82427 − 2.54264I 6.91993 + 6.04740I
u = −1.382520 + 0.211454I
a = −0.37785 + 1.47718I
b = −0.09063 + 2.23933I
5.13845 − 3.88562I 0
u = −1.382520 − 0.211454I
a = −0.37785 − 1.47718I
b = −0.09063 − 2.23933I
5.13845 + 3.88562I 0
u = −1.402850 + 0.098193I
a = −0.104941 + 0.247776I
b = −1.90261 + 0.09484I
−7.42391 − 11.92370I 0
u = −1.402850 − 0.098193I
a = −0.104941 − 0.247776I
b = −1.90261 − 0.09484I
−7.42391 + 11.92370I 0
u = −0.143752 + 1.399190I
a = −1.68598 + 0.65970I
b = 2.26666 − 0.84935I
−9.27132 − 2.83279I 0
u = −0.143752 − 1.399190I
a = −1.68598 − 0.65970I
b = 2.26666 + 0.84935I
−9.27132 + 2.83279I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.258232 + 1.388350I
a = 0.463315 − 0.717360I
b = −0.234058 − 0.143351I
−6.36736 + 0.90340I 0
u = 0.258232 − 1.388350I
a = 0.463315 + 0.717360I
b = −0.234058 + 0.143351I
−6.36736 − 0.90340I 0
u = 0.17098 + 1.40758I
a = −0.239166 − 0.119759I
b = 0.042488 − 1.178640I
−2.11115 − 0.22606I 0
u = 0.17098 − 1.40758I
a = −0.239166 + 0.119759I
b = 0.042488 + 1.178640I
−2.11115 + 0.22606I 0
u = 0.537253 + 0.222267I
a = 1.48340 + 0.50119I
b = 1.38375 + 0.34335I
−2.75015 − 3.14737I −0.51905 + 9.05080I
u = 0.537253 − 0.222267I
a = 1.48340 − 0.50119I
b = 1.38375 − 0.34335I
−2.75015 + 3.14737I −0.51905 − 9.05080I
u = 0.20915 + 1.40309I
a = 1.77505 + 0.11194I
b = −1.59384 − 0.09968I
−11.3422 + 9.1428I 0
u = 0.20915 − 1.40309I
a = 1.77505 − 0.11194I
b = −1.59384 + 0.09968I
−11.3422 − 9.1428I 0
u = 0.208395 + 0.532517I
a = 0.682181 + 0.441617I
b = 0.041881 − 0.377150I
−0.144616 + 1.089290I −2.18626 − 6.39033I
u = 0.208395 − 0.532517I
a = 0.682181 − 0.441617I
b = 0.041881 + 0.377150I
−0.144616 − 1.089290I −2.18626 + 6.39033I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.02898 + 1.43111I
a = 1.82656 − 0.02849I
b = −1.82470 + 0.47918I
−10.80120 + 1.32037I 0
u = 0.02898 − 1.43111I
a = 1.82656 + 0.02849I
b = −1.82470 − 0.47918I
−10.80120 − 1.32037I 0
u = 0.15091 + 1.49713I
a = −1.57712 + 0.02312I
b = 1.61128 + 0.19967I
−11.68300 + 0.74838I 0
u = 0.15091 − 1.49713I
a = −1.57712 − 0.02312I
b = 1.61128 − 0.19967I
−11.68300 − 0.74838I 0
u = 0.27742 + 1.49925I
a = −0.448214 + 0.558318I
b = 0.382683 + 0.348317I
−6.62895 + 9.45962I 0
u = 0.27742 − 1.49925I
a = −0.448214 − 0.558318I
b = 0.382683 − 0.348317I
−6.62895 − 9.45962I 0
u = 0.044364 + 0.462759I
a = −0.53060 + 5.86267I
b = 0.10112 − 1.96818I
0.91865 + 6.75705I 7.45079 − 10.28372I
u = 0.044364 − 0.462759I
a = −0.53060 − 5.86267I
b = 0.10112 + 1.96818I
0.91865 − 6.75705I 7.45079 + 10.28372I
u = −0.57564 + 1.46674I
a = −1.55233 + 0.76795I
b = 2.32643 + 0.37954I
−11.7977 − 10.2663I 0
u = −0.57564 − 1.46674I
a = −1.55233 − 0.76795I
b = 2.32643 − 0.37954I
−11.7977 + 10.2663I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.55607 + 1.51761I
a = −1.38201 − 0.59027I
b = 2.16220 − 0.97168I
−10.65990 + 8.34282I 0
u = 0.55607 − 1.51761I
a = −1.38201 + 0.59027I
b = 2.16220 + 0.97168I
−10.65990 − 8.34282I 0
u = −0.59693 + 1.50465I
a = 1.46749 − 0.72531I
b = −2.32030 − 0.48441I
−12.5086 − 18.8463I 0
u = −0.59693 − 1.50465I
a = 1.46749 + 0.72531I
b = −2.32030 + 0.48441I
−12.5086 + 18.8463I 0
u = 0.59585 + 1.51780I
a = −1.37222 − 0.68797I
b = 2.46447 − 0.62689I
−10.26930 + 5.43551I 0
u = 0.59585 − 1.51780I
a = −1.37222 + 0.68797I
b = 2.46447 + 0.62689I
−10.26930 − 5.43551I 0
u = −0.345280 + 0.124604I
a = 2.10573 + 0.08014I
b = −1.077420 − 0.018069I
−5.30413 + 2.01462I −12.63646 − 4.88896I
u = −0.345280 − 0.124604I
a = 2.10573 − 0.08014I
b = −1.077420 + 0.018069I
−5.30413 − 2.01462I −12.63646 + 4.88896I
u = 0.250555 + 0.237742I
a = 2.29032 − 0.59340I
b = −1.35597 + 0.59746I
−5.96804 + 6.91937I −3.01233 − 0.93944I
u = 0.250555 − 0.237742I
a = 2.29032 + 0.59340I
b = −1.35597 − 0.59746I
−5.96804 − 6.91937I −3.01233 + 0.93944I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.63889 + 1.53810I
a = −1.077290 + 0.722377I
b = 1.67009 + 0.79165I
−11.48350 − 3.33918I 0
u = −0.63889 − 1.53810I
a = −1.077290 − 0.722377I
b = 1.67009 − 0.79165I
−11.48350 + 3.33918I 0
u = 0.38035 + 1.65731I
a = 1.37049 + 0.36515I
b = −2.04092 + 0.65537I
−11.92690 + 7.29938I 0
u = 0.38035 − 1.65731I
a = 1.37049 − 0.36515I
b = −2.04092 − 0.65537I
−11.92690 − 7.29938I 0
u = 0.67595 + 1.68105I
a = 1.163000 + 0.578351I
b = −2.23966 + 0.61837I
−9.00155 + 9.42611I 0
u = 0.67595 − 1.68105I
a = 1.163000 − 0.578351I
b = −2.23966 − 0.61837I
−9.00155 − 9.42611I 0
u = −0.154362 + 0.104640I
a = −7.40875 − 4.68289I
b = −0.490687 + 0.835151I
3.60335 − 0.92310I 8.27870 − 2.19975I
u = −0.154362 − 0.104640I
a = −7.40875 + 4.68289I
b = −0.490687 − 0.835151I
3.60335 + 0.92310I 8.27870 + 2.19975I
u = −0.67030 + 1.70482I
a = 1.006360 − 0.567499I
b = −1.82639 − 0.91736I
−12.30680 + 4.01877I 0
u = −0.67030 − 1.70482I
a = 1.006360 + 0.567499I
b = −1.82639 + 0.91736I
−12.30680 − 4.01877I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 2.31818
a = −0.0650049
b = −2.72122
−3.52137 0
u = −2.51804
a = 0.0172369
b = 2.77278
−3.33287 0
16
II.
I
u
2
= h6.08×10
52
u
46
+2.18×10
53
u
45
+· · ·+2.21×10
51
b−7.41×10
51
, −9.90×
10
52
u
46
−3.59×10
53
u
45
+· · ·+2.21×10
51
a+1.90×10
52
, u
47
+3u
46
+· · ·+2u+1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
7
=
44.7752u
46
+ 162.474u
45
+ ··· + 43.3255u − 8.60858
−27.4917u
46
− 98.4630u
45
+ ··· − 33.2162u + 3.34919
a
10
=
u
u
3
+ u
a
2
=
−10.2454u
46
− 17.5138u
45
+ ··· + 49.5662u + 26.8546
−8.52999u
46
− 26.3258u
45
+ ··· + 13.9852u + 6.70661
a
1
=
−18.7754u
46
− 43.8395u
45
+ ··· + 63.5514u + 33.5612
−8.52999u
46
− 26.3258u
45
+ ··· + 13.9852u + 6.70661
a
6
=
32.9606u
46
+ 142.595u
45
+ ··· + 111.181u + 22.8890
−10.6601u
46
− 50.3694u
45
+ ··· − 52.5316u − 12.2158
a
8
=
24.6204u
46
+ 99.9262u
45
+ ··· + 72.6886u + 14.2301
3.53527u
46
− 30.0611u
45
+ ··· − 182.780u − 66.5878
a
11
=
−49.5901u
46
− 212.155u
45
+ ··· − 231.801u − 63.2234
23.8048u
46
+ 105.460u
45
+ ··· + 119.387u + 30.7654
a
12
=
−18.7065u
46
− 30.8523u
45
+ ··· + 103.924u + 48.6152
−1.93570u
46
− 0.403318u
45
+ ··· + 28.7279u + 8.98027
a
5
=
−42.9168u
46
− 141.525u
45
+ ··· − 58.4215u + 3.04575
26.5004u
46
+ 85.5044u
45
+ ··· + 10.2300u − 10.3295
(ii) Obstruction class = 1
(iii) Cusp Shapes = 15.8861u
46
+ 331.012u
45
+ ··· + 1244.44u + 450.229
17
(iv) u-Polynomials at the component
18
Crossings u-Polynomials at each crossing
c
1
u
47
− 12u
46
+ ··· + 6039u − 2423
c
2
u
47
+ 3u
46
+ ··· − 4u + 1
c
3
u
47
+ 3u
46
+ ··· + 2u + 1
c
4
u
47
+ 2u
46
+ ··· + 5u + 1
c
5
u
47
+ 4u
46
+ ··· + 1291u − 97
c
6
u
47
− 3u
46
+ ··· − 4u − 1
c
7
u
47
− 15u
46
+ ··· + 6u + 1
c
8
u
47
+ 9u
45
+ ··· + 8u + 1
c
9
u
47
− 3u
46
+ ··· + 2u − 1
c
10
u
47
− 14u
46
+ ··· + 17u − 1
c
11
u
47
− 10u
46
+ ··· + 2u − 1
c
12
u
47
+ 13u
46
+ ··· + 2878u + 451
19
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
47
− 14y
46
+ ··· + 195064563y −5870929
c
2
, c
6
y
47
− 23y
46
+ ··· − 30y −1
c
3
, c
9
y
47
+ 19y
46
+ ··· − 30y −1
c
4
y
47
+ 4y
46
+ ··· − 15y −1
c
5
y
47
+ 22y
46
+ ··· + 316635y −9409
c
7
y
47
− 13y
46
+ ··· + 100y −1
c
8
y
47
+ 18y
46
+ ··· + 52y −1
c
10
y
47
− 172y
46
+ ··· + 35y −1
c
11
y
47
− 180y
46
+ ··· − 14y −1
c
12
y
47
− 5y
46
+ ··· + 16956y −203401
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.105146 + 0.998162I
a = 0.274045 − 1.366930I
b = −0.415598 − 0.324498I
4.86538 − 0.41768I 0. − 8.10222I
u = −0.105146 − 0.998162I
a = 0.274045 + 1.366930I
b = −0.415598 + 0.324498I
4.86538 + 0.41768I 0. + 8.10222I
u = 0.651371 + 0.884887I
a = 1.37063 + 1.85791I
b = −2.41335 − 0.61307I
4.69001 + 2.53653I 0
u = 0.651371 − 0.884887I
a = 1.37063 − 1.85791I
b = −2.41335 + 0.61307I
4.69001 − 2.53653I 0
u = −0.348807 + 0.823887I
a = 0.475712 + 1.023920I
b = 1.071690 − 0.668459I
−4.02963 + 2.51494I −8.86707 − 3.63978I
u = −0.348807 − 0.823887I
a = 0.475712 − 1.023920I
b = 1.071690 + 0.668459I
−4.02963 − 2.51494I −8.86707 + 3.63978I
u = 0.318097 + 0.817477I
a = 0.36835 + 1.67366I
b = −0.904986 − 0.123091I
2.99144 + 1.39346I 1.80386 − 5.99528I
u = 0.318097 − 0.817477I
a = 0.36835 − 1.67366I
b = −0.904986 + 0.123091I
2.99144 − 1.39346I 1.80386 + 5.99528I
u = −0.733412 + 0.440432I
a = −0.12064 − 1.83844I
b = −0.851521 + 0.539070I
0.77413 − 5.14078I 3.82273 + 4.65392I
u = −0.733412 − 0.440432I
a = −0.12064 + 1.83844I
b = −0.851521 − 0.539070I
0.77413 + 5.14078I 3.82273 − 4.65392I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.281457 + 0.766454I
a = 0.585242 − 0.948901I
b = −1.22961 + 0.94669I
−6.48512 + 7.34443I −13.1723 − 8.7081I
u = 0.281457 − 0.766454I
a = 0.585242 + 0.948901I
b = −1.22961 − 0.94669I
−6.48512 − 7.34443I −13.1723 + 8.7081I
u = 0.245998 + 0.757241I
a = 0.14336 + 2.23330I
b = −0.756920 − 0.538333I
2.99023 + 1.42290I 0.17729 − 4.07414I
u = 0.245998 − 0.757241I
a = 0.14336 − 2.23330I
b = −0.756920 + 0.538333I
2.99023 − 1.42290I 0.17729 + 4.07414I
u = −0.764432 + 0.211550I
a = −0.354439 − 0.147395I
b = 0.947428 + 0.194833I
−3.18866 + 1.21872I −4.67605 − 4.43123I
u = −0.764432 − 0.211550I
a = −0.354439 + 0.147395I
b = 0.947428 − 0.194833I
−3.18866 − 1.21872I −4.67605 + 4.43123I
u = −0.477507 + 1.116060I
a = −0.171374 + 1.130490I
b = 0.357520 − 0.870002I
−5.70927 − 5.68854I 0
u = −0.477507 − 1.116060I
a = −0.171374 − 1.130490I
b = 0.357520 + 0.870002I
−5.70927 + 5.68854I 0
u = 0.180138 + 0.760699I
a = −0.96453 + 1.07777I
b = 0.338285 + 0.166664I
0.40627 + 2.41053I −11.13556 − 0.91079I
u = 0.180138 − 0.760699I
a = −0.96453 − 1.07777I
b = 0.338285 − 0.166664I
0.40627 − 2.41053I −11.13556 + 0.91079I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.234189 + 1.198210I
a = −0.616786 + 1.061750I
b = 0.43861 − 2.36314I
−1.59327 + 7.63578I 0
u = 0.234189 − 1.198210I
a = −0.616786 − 1.061750I
b = 0.43861 + 2.36314I
−1.59327 − 7.63578I 0
u = −0.543297 + 1.096460I
a = −0.488561 − 0.174908I
b = 0.142925 + 0.258147I
−1.53280 − 8.89429I 0
u = −0.543297 − 1.096460I
a = −0.488561 + 0.174908I
b = 0.142925 − 0.258147I
−1.53280 + 8.89429I 0
u = −0.206641 + 1.209560I
a = −2.21301 + 0.30513I
b = 1.95966 + 0.90484I
−5.67109 − 4.80509I 0
u = −0.206641 − 1.209560I
a = −2.21301 − 0.30513I
b = 1.95966 − 0.90484I
−5.67109 + 4.80509I 0
u = 0.029402 + 0.771840I
a = −0.34500 − 4.30056I
b = 0.19141 + 2.12776I
0.42417 − 6.60214I −7.70795 + 4.95511I
u = 0.029402 − 0.771840I
a = −0.34500 + 4.30056I
b = 0.19141 − 2.12776I
0.42417 + 6.60214I −7.70795 − 4.95511I
u = 0.500094 + 1.136310I
a = 0.233016 − 0.288559I
b = 0.198326 + 1.040000I
0.97614 + 1.63284I 0
u = 0.500094 − 1.136310I
a = 0.233016 + 0.288559I
b = 0.198326 − 1.040000I
0.97614 − 1.63284I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.524625 + 0.484613I
a = −0.225420 − 0.714768I
b = 0.079199 − 0.517802I
0.47614 + 4.42441I 1.28105 − 7.88625I
u = −0.524625 − 0.484613I
a = −0.225420 + 0.714768I
b = 0.079199 + 0.517802I
0.47614 − 4.42441I 1.28105 + 7.88625I
u = −0.049037 + 1.403900I
a = 2.04336 − 0.05571I
b = −2.38489 + 0.10691I
−9.63242 − 5.86063I 0
u = −0.049037 − 1.403900I
a = 2.04336 + 0.05571I
b = −2.38489 − 0.10691I
−9.63242 + 5.86063I 0
u = −0.18031 + 1.40636I
a = −1.44473 + 0.53307I
b = 1.84090 − 0.76714I
−8.91505 − 2.17175I 0
u = −0.18031 − 1.40636I
a = −1.44473 − 0.53307I
b = 1.84090 + 0.76714I
−8.91505 + 2.17175I 0
u = 1.42865 + 0.23690I
a = −0.35767 − 1.39881I
b = −0.01727 − 2.28701I
5.06715 + 3.84561I 0
u = 1.42865 − 0.23690I
a = −0.35767 + 1.39881I
b = −0.01727 + 2.28701I
5.06715 − 3.84561I 0
u = 0.375688 + 0.257924I
a = 0.56927 − 1.90670I
b = 1.406490 − 0.007909I
−3.31018 + 2.05803I −6.13101 − 3.39574I
u = 0.375688 − 0.257924I
a = 0.56927 + 1.90670I
b = 1.406490 + 0.007909I
−3.31018 − 2.05803I −6.13101 + 3.39574I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.51922 + 1.55840I
a = −1.38979 − 0.55432I
b = 2.17906 − 0.76929I
−10.31670 + 7.53513I 0
u = 0.51922 − 1.55840I
a = −1.38979 + 0.55432I
b = 2.17906 + 0.76929I
−10.31670 − 7.53513I 0
u = −0.38975 + 1.63283I
a = 0.201490 + 0.022545I
b = −0.648227 + 1.152680I
−3.15829 − 0.38838I 0
u = −0.38975 − 1.63283I
a = 0.201490 − 0.022545I
b = −0.648227 − 1.152680I
−3.15829 + 0.38838I 0
u = −0.128980 + 0.291305I
a = −2.56866 − 0.61457I
b = 1.37816 + 0.32852I
−2.87262 + 1.43076I 0.59490 − 5.66907I
u = −0.128980 − 0.291305I
a = −2.56866 + 0.61457I
b = 1.37816 − 0.32852I
−2.87262 − 1.43076I 0.59490 + 5.66907I
u = −3.62471
a = −0.00773740
b = −3.81458
−3.31831 0
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
47
− 12u
46
+ ··· + 6039u − 2423)
· (u
112
− 9u
111
+ ··· − 8787594026u + 1142120643)
c
2
(u
47
+ 3u
46
+ ··· − 4u + 1)
· (u
112
+ 4u
111
+ ··· − 15875381u − 1020181)
c
3
(u
47
+ 3u
46
+ ··· + 2u + 1)(u
112
+ 4u
111
+ ··· − 58325u − 6859)
c
4
(u
47
+ 2u
46
+ ··· + 5u + 1)(u
112
+ 3u
111
+ ··· − 55496u − 8997)
c
5
(u
47
+ 4u
46
+ ··· + 1291u − 97)
· (u
112
− u
111
+ ··· − 458318546098u + 137795579005)
c
6
(u
47
− 3u
46
+ ··· − 4u − 1)
· (u
112
+ 4u
111
+ ··· − 15875381u − 1020181)
c
7
(u
47
− 15u
46
+ ··· + 6u + 1)(u
112
+ 6u
111
+ ··· + 437u + 19)
c
8
(u
47
+ 9u
45
+ ··· + 8u + 1)(u
112
+ u
111
+ ··· − 85u − 1)
c
9
(u
47
− 3u
46
+ ··· + 2u − 1)(u
112
+ 4u
111
+ ··· − 58325u − 6859)
c
10
(u
47
− 14u
46
+ ··· + 17u − 1)
· (u
112
− 3u
111
+ ··· + 13903468u + 3529277)
c
11
(u
47
− 10u
46
+ ··· + 2u − 1)
· (u
112
− 7u
111
+ ··· + 8027953u + 4448443)
c
12
(u
47
+ 13u
46
+ ··· + 2878u + 451)
· (u
112
+ 4u
111
+ ··· + 29852667u + 2796781)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
47
− 14y
46
+ ··· + 195064563y −5870929)
· (y
112
− 75y
111
+ ··· − 1.37 × 10
19
y + 1.30 × 10
18
)
c
2
, c
6
(y
47
− 23y
46
+ ··· − 30y −1)
· (y
112
− 112y
111
+ ··· + 38800688855225y + 1040769272761)
c
3
, c
9
(y
47
+ 19y
46
+ ··· − 30y −1)
· (y
112
+ 78y
111
+ ··· − 34516755y + 47045881)
c
4
(y
47
+ 4y
46
+ ··· − 15y −1)
· (y
112
+ 31y
111
+ ··· + 1564391402y + 80946009)
c
5
(y
47
+ 22y
46
+ ··· + 316635y −9409)
· (y
112
− 55y
111
+ ··· + 9.87 × 10
22
y + 1.90 × 10
22
)
c
7
(y
47
− 13y
46
+ ··· + 100y −1)(y
112
− 2y
111
+ ··· − 23009y + 361)
c
8
(y
47
+ 18y
46
+ ··· + 52y −1)(y
112
− 7y
111
+ ··· + 15211y + 1)
c
10
(y
47
− 172y
46
+ ··· + 35y −1)
· (y
112
− 17y
111
+ ··· + 813550693297028y + 12455796142729)
c
11
(y
47
− 180y
46
+ ··· − 14y −1)
· (y
112
− 101y
111
+ ··· + 1303442294494373y + 19788645124249)
c
12
(y
47
− 5y
46
+ ··· + 16956y −203401)
· (y
112
− 50y
111
+ ··· + 1010612326184383y + 7821983961961)
28
