12a
1005
(K12a
1005
)
A knot diagram
1
Linearized knot diagam
4 6 12 10 8 11 3 5 1 2 7 9
Solving Sequence
6,11 3,7
8 12 4 2 1 5 10 9
c
6
c
7
c
11
c
3
c
2
c
1
c
5
c
10
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h8.28638 × 10
818
u
163
+ 1.07259 × 10
819
u
162
+ ··· + 4.77229 × 10
818
b + 8.17270 × 10
819
,
8.15374 × 10
819
u
163
+ 7.61680 × 10
819
u
162
+ ··· + 4.77229 × 10
818
a + 7.02986 × 10
820
, u
164
+ u
163
+ ··· + 2u + 1i
I
u
2
= h−1.98199 × 10
43
u
43
+ 9.68400 × 10
42
u
42
+ ··· + 1.94108 × 10
43
b − 2.15307 × 10
43
,
− 8.58634 × 10
42
u
43
+ 2.47691 × 10
43
u
42
+ ··· + 1.94108 × 10
43
a − 2.23616 × 10
43
,
u
44
− 14u
42
+ ··· − 6u + 1i
* 2 irreducible components of dim
C
= 0, with total 208 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
= h8.29 × 10
818
u
163
+ 1.07 × 10
819
u
162
+ · · · + 4.77 × 10
818
b + 8.17 ×
10
819
, 8.15 × 10
819
u
163
+ 7.62 × 10
819
u
162
+ · · · + 4.77 × 10
818
a + 7.03 ×
10
820
, u
164
+ u
163
+ · · · + 2u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
−17.0856u
163
− 15.9605u
162
+ ··· + 801.549u − 147.306
−1.73635u
163
− 2.24754u
162
+ ··· + 106.126u − 17.1253
a
7
=
1
u
2
a
8
=
32.9409u
163
+ 27.5908u
162
+ ··· − 1572.08u + 261.950
3.86320u
163
+ 2.51080u
162
+ ··· − 143.117u + 25.0194
a
12
=
−u
−u
3
+ u
a
4
=
−16.9444u
163
− 15.4306u
162
+ ··· + 786.454u − 144.913
−2.51806u
163
− 2.41108u
162
+ ··· + 120.302u − 19.9071
a
2
=
−15.3492u
163
− 13.7129u
162
+ ··· + 695.424u − 130.180
−1.73635u
163
− 2.24754u
162
+ ··· + 106.126u − 17.1253
a
1
=
29.2656u
163
+ 25.7673u
162
+ ··· − 1452.79u + 232.311
1.62972u
163
+ 2.44440u
162
+ ··· − 147.983u + 21.1918
a
5
=
11.4222u
163
+ 8.04537u
162
+ ··· − 456.454u + 83.4972
1.43923u
163
+ 1.37655u
162
+ ··· − 71.8732u + 12.2456
a
10
=
36.6016u
163
+ 33.3168u
162
+ ··· − 1824.99u + 309.036
6.11193u
163
+ 3.32962u
162
+ ··· − 207.355u + 35.1448
a
9
=
−13.1906u
163
− 10.9444u
162
+ ··· + 627.379u − 94.1792
−1.26477u
163
− 0.969496u
162
+ ··· + 57.6793u − 8.49268
(ii) Obstruction class = −1
(iii) Cusp Shapes = −8.23974u
163
− 7.66090u
162
+ ··· + 441.763u − 72.5687
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
164
+ 5u
163
+ ··· − 49u + 1
c
2
u
164
+ u
163
+ ··· + 36157964272u + 1936765232
c
3
u
164
− 45u
162
+ ··· − 4066348387u + 426841301
c
4
u
164
− 2u
163
+ ··· + 540u + 19
c
5
, c
8
u
164
+ 11u
163
+ ··· + 9685865u + 827737
c
6
, c
11
u
164
− u
163
+ ··· − 2u + 1
c
7
u
164
+ u
163
+ ··· + 2097860395u + 150897161
c
9
, c
12
u
164
− 50u
162
+ ··· + 992u + 1808
c
10
u
164
+ 6u
163
+ ··· + 1784816067153u + 207574985671
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
164
+ 3y
163
+ ··· − 411y + 1
c
2
y
164
+ 75y
163
+ ··· + 1.76 × 10
20
y + 3.75 × 10
18
c
3
y
164
− 90y
163
+ ··· − 2.04 × 10
19
y + 1.82 × 10
17
c
4
y
164
+ 16y
163
+ ··· − 4434y + 361
c
5
, c
8
y
164
+ 139y
163
+ ··· − 8776342483355y + 685148541169
c
6
, c
11
y
164
− 115y
163
+ ··· − 170y + 1
c
7
y
164
+ 59y
163
+ ··· + 634377626274351873y + 22769953197859921
c
9
, c
12
y
164
− 100y
163
+ ··· − 153608192y + 3268864
c
10
y
164
− 108y
163
+ ··· − 3.42 × 10
24
y + 4.31 × 10
22
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.869177 + 0.509153I
a = 0.169333 − 1.137160I
b = −0.342844 − 0.391066I
2.88405 − 1.66044I 0
u = −0.869177 − 0.509153I
a = 0.169333 + 1.137160I
b = −0.342844 + 0.391066I
2.88405 + 1.66044I 0
u = −0.984878 + 0.106592I
a = −0.98146 + 1.62508I
b = −0.909765 + 0.456958I
−5.75041 + 0.39923I 0
u = −0.984878 − 0.106592I
a = −0.98146 − 1.62508I
b = −0.909765 − 0.456958I
−5.75041 − 0.39923I 0
u = −0.989183
a = 0.323183
b = 1.49558
2.29760 0
u = 0.988638 + 0.009995I
a = −0.213781 − 0.471004I
b = −1.34941 − 0.76792I
−1.65633 + 4.05752I 0
u = 0.988638 − 0.009995I
a = −0.213781 + 0.471004I
b = −1.34941 + 0.76792I
−1.65633 − 4.05752I 0
u = 0.110282 + 1.038000I
a = −0.409530 − 0.218427I
b = −0.475993 − 1.080930I
−4.27505 + 4.09712I 0
u = 0.110282 − 1.038000I
a = −0.409530 + 0.218427I
b = −0.475993 + 1.080930I
−4.27505 − 4.09712I 0
u = 0.568068 + 0.765634I
a = 0.181874 + 0.180155I
b = −0.597640 − 0.124843I
0.02802 − 2.07677I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.568068 − 0.765634I
a = 0.181874 − 0.180155I
b = −0.597640 + 0.124843I
0.02802 + 2.07677I 0
u = 0.996494 + 0.342855I
a = 0.46220 + 1.49178I
b = −0.299086 + 0.459250I
−1.37379 − 2.15935I 0
u = 0.996494 − 0.342855I
a = 0.46220 − 1.49178I
b = −0.299086 − 0.459250I
−1.37379 + 2.15935I 0
u = −0.983860 + 0.378927I
a = 0.82851 − 2.38314I
b = −0.24401 − 2.23511I
−1.96890 + 9.67297I 0
u = −0.983860 − 0.378927I
a = 0.82851 + 2.38314I
b = −0.24401 + 2.23511I
−1.96890 − 9.67297I 0
u = 1.000460 + 0.373358I
a = −0.31736 − 1.74450I
b = 0.79791 − 1.47090I
1.32797 − 6.43845I 0
u = 1.000460 − 0.373358I
a = −0.31736 + 1.74450I
b = 0.79791 + 1.47090I
1.32797 + 6.43845I 0
u = −0.611311 + 0.879204I
a = 0.0074746 + 0.0729978I
b = −0.692411 + 0.111158I
3.93629 + 6.69317I 0
u = −0.611311 − 0.879204I
a = 0.0074746 − 0.0729978I
b = −0.692411 − 0.111158I
3.93629 − 6.69317I 0
u = 0.927110 + 0.008097I
a = −1.49056 − 2.33101I
b = −0.60629 − 1.28946I
−1.38113 + 4.26225I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.927110 − 0.008097I
a = −1.49056 + 2.33101I
b = −0.60629 + 1.28946I
−1.38113 − 4.26225I 0
u = −0.762078 + 0.505620I
a = 0.465622 − 0.166428I
b = −0.728178 − 0.821593I
−4.82240 + 2.94091I 0
u = −0.762078 − 0.505620I
a = 0.465622 + 0.166428I
b = −0.728178 + 0.821593I
−4.82240 − 2.94091I 0
u = 0.121991 + 0.906158I
a = 0.227372 + 0.611408I
b = 0.313848 − 1.058270I
0.40256 − 2.20922I 0
u = 0.121991 − 0.906158I
a = 0.227372 − 0.611408I
b = 0.313848 + 1.058270I
0.40256 + 2.20922I 0
u = 0.979536 + 0.479470I
a = −0.657563 − 0.239774I
b = −0.886401 − 0.138579I
−3.26146 − 4.28093I 0
u = 0.979536 − 0.479470I
a = −0.657563 + 0.239774I
b = −0.886401 + 0.138579I
−3.26146 + 4.28093I 0
u = −0.071281 + 0.898521I
a = 0.420818 + 0.086329I
b = 0.118209 − 0.746553I
1.00223 − 1.62980I 0
u = −0.071281 − 0.898521I
a = 0.420818 − 0.086329I
b = 0.118209 + 0.746553I
1.00223 + 1.62980I 0
u = 0.524762 + 0.731683I
a = 0.803081 − 0.246957I
b = 0.684276 + 0.748128I
2.78644 + 2.16616I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.524762 − 0.731683I
a = 0.803081 + 0.246957I
b = 0.684276 − 0.748128I
2.78644 − 2.16616I 0
u = −0.388899 + 0.789502I
a = 0.396051 + 0.382103I
b = −0.666792 + 0.202791I
3.92783 − 3.00284I 0
u = −0.388899 − 0.789502I
a = 0.396051 − 0.382103I
b = −0.666792 − 0.202791I
3.92783 + 3.00284I 0
u = −0.533760 + 0.695751I
a = −1.166200 + 0.474805I
b = −0.64659 + 1.32891I
−0.59796 − 5.44213I 0
u = −0.533760 − 0.695751I
a = −1.166200 − 0.474805I
b = −0.64659 − 1.32891I
−0.59796 + 5.44213I 0
u = 0.510980 + 0.701345I
a = −0.393768 + 0.930484I
b = −0.719215 + 0.307785I
−1.91908 − 0.16586I 0
u = 0.510980 − 0.701345I
a = −0.393768 − 0.930484I
b = −0.719215 − 0.307785I
−1.91908 + 0.16586I 0
u = −0.136828 + 0.854748I
a = −0.628575 + 0.232734I
b = 0.934372 − 1.019320I
−1.107670 + 0.419568I 0
u = −0.136828 − 0.854748I
a = −0.628575 − 0.232734I
b = 0.934372 + 1.019320I
−1.107670 − 0.419568I 0
u = 1.094910 + 0.298629I
a = 0.20062 − 1.92505I
b = 0.623344 − 0.958586I
2.11373 − 2.89494I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.094910 − 0.298629I
a = 0.20062 + 1.92505I
b = 0.623344 + 0.958586I
2.11373 + 2.89494I 0
u = −0.042815 + 1.140330I
a = −0.0374798 − 0.0738951I
b = 0.630521 + 1.169310I
−7.07361 + 7.95236I 0
u = −0.042815 − 1.140330I
a = −0.0374798 + 0.0738951I
b = 0.630521 − 1.169310I
−7.07361 − 7.95236I 0
u = 1.144680 + 0.061494I
a = −0.439003 − 1.032340I
b = 0.961928 − 0.556071I
−3.95806 − 1.64685I 0
u = 1.144680 − 0.061494I
a = −0.439003 + 1.032340I
b = 0.961928 + 0.556071I
−3.95806 + 1.64685I 0
u = 1.097070 + 0.341636I
a = −0.21959 − 2.37665I
b = 0.724553 − 0.658358I
−2.31943 − 11.01080I 0
u = 1.097070 − 0.341636I
a = −0.21959 + 2.37665I
b = 0.724553 + 0.658358I
−2.31943 + 11.01080I 0
u = −1.148980 + 0.110231I
a = 1.88462 − 0.74988I
b = −0.362477 − 0.523976I
−8.23855 + 3.87446I 0
u = −1.148980 − 0.110231I
a = 1.88462 + 0.74988I
b = −0.362477 + 0.523976I
−8.23855 − 3.87446I 0
u = −1.084780 + 0.395668I
a = 0.09976 − 1.59908I
b = −0.275370 − 0.497316I
1.74648 + 7.39363I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.084780 − 0.395668I
a = 0.09976 + 1.59908I
b = −0.275370 + 0.497316I
1.74648 − 7.39363I 0
u = 0.058061 + 1.156460I
a = −0.143195 + 0.226079I
b = −0.382394 + 0.994846I
−3.78704 − 1.46192I 0
u = 0.058061 − 1.156460I
a = −0.143195 − 0.226079I
b = −0.382394 − 0.994846I
−3.78704 + 1.46192I 0
u = 1.145920 + 0.177078I
a = −0.57231 + 2.53665I
b = −1.49586 + 2.26841I
−7.72342 − 4.92973I 0
u = 1.145920 − 0.177078I
a = −0.57231 − 2.53665I
b = −1.49586 − 2.26841I
−7.72342 + 4.92973I 0
u = −1.161090 + 0.104189I
a = 2.04318 − 0.94505I
b = 2.85400 − 1.26008I
−5.14556 + 9.46016I 0
u = −1.161090 − 0.104189I
a = 2.04318 + 0.94505I
b = 2.85400 + 1.26008I
−5.14556 − 9.46016I 0
u = −1.163070 + 0.091280I
a = −0.96985 − 2.02725I
b = −0.004406 − 0.954808I
−7.49510 + 3.02617I 0
u = −1.163070 − 0.091280I
a = −0.96985 + 2.02725I
b = −0.004406 + 0.954808I
−7.49510 − 3.02617I 0
u = 0.037336 + 1.174070I
a = 0.0369438 − 0.0021738I
b = 0.633978 − 1.120670I
−3.6139 − 14.2988I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.037336 − 1.174070I
a = 0.0369438 + 0.0021738I
b = 0.633978 + 1.120670I
−3.6139 + 14.2988I 0
u = −1.175240 + 0.019483I
a = −1.08758 − 1.50814I
b = −1.91459 − 1.19881I
−6.92293 − 1.18653I 0
u = −1.175240 − 0.019483I
a = −1.08758 + 1.50814I
b = −1.91459 + 1.19881I
−6.92293 + 1.18653I 0
u = 1.177890 + 0.101131I
a = −0.38284 − 1.39453I
b = −1.16148 − 1.29798I
−1.91607 − 5.93788I 0
u = 1.177890 − 0.101131I
a = −0.38284 + 1.39453I
b = −1.16148 + 1.29798I
−1.91607 + 5.93788I 0
u = 0.413597 + 1.111510I
a = −0.0327605 + 0.0381918I
b = −0.526517 + 0.780079I
−3.64684 − 5.55468I 0
u = 0.413597 − 1.111510I
a = −0.0327605 − 0.0381918I
b = −0.526517 − 0.780079I
−3.64684 + 5.55468I 0
u = −1.155270 + 0.298688I
a = −0.03568 + 1.67083I
b = 0.81152 + 1.21264I
−1.86367 + 4.29799I 0
u = −1.155270 − 0.298688I
a = −0.03568 − 1.67083I
b = 0.81152 − 1.21264I
−1.86367 − 4.29799I 0
u = −1.132370 + 0.420585I
a = −0.42032 + 1.94326I
b = 1.037530 + 0.744513I
−4.09090 + 4.18339I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.132370 − 0.420585I
a = −0.42032 − 1.94326I
b = 1.037530 − 0.744513I
−4.09090 − 4.18339I 0
u = 0.387215 + 1.150160I
a = 0.068647 + 0.367207I
b = −0.294912 − 0.951769I
0.94845 − 2.33153I 0
u = 0.387215 − 1.150160I
a = 0.068647 − 0.367207I
b = −0.294912 + 0.951769I
0.94845 + 2.33153I 0
u = 1.213060 + 0.091257I
a = −0.86938 + 1.94522I
b = 0.097298 + 0.850904I
−7.35097 + 0.00282I 0
u = 1.213060 − 0.091257I
a = −0.86938 − 1.94522I
b = 0.097298 − 0.850904I
−7.35097 − 0.00282I 0
u = −1.218950 + 0.072910I
a = −0.332032 + 1.228250I
b = −0.98997 + 1.05400I
−5.32723 + 1.90230I 0
u = −1.218950 − 0.072910I
a = −0.332032 − 1.228250I
b = −0.98997 − 1.05400I
−5.32723 − 1.90230I 0
u = −1.213930 + 0.134347I
a = −0.28497 + 1.49694I
b = 0.912019 + 0.910189I
−2.54036 + 6.40960I 0
u = −1.213930 − 0.134347I
a = −0.28497 − 1.49694I
b = 0.912019 − 0.910189I
−2.54036 − 6.40960I 0
u = 1.222810 + 0.019284I
a = 1.49065 + 1.86983I
b = 2.20030 + 2.25331I
−9.54126 − 2.19090I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.222810 − 0.019284I
a = 1.49065 − 1.86983I
b = 2.20030 − 2.25331I
−9.54126 + 2.19090I 0
u = 1.220500 + 0.106731I
a = 1.58784 + 1.27953I
b = −0.288614 + 0.645675I
−6.13373 − 9.45444I 0
u = 1.220500 − 0.106731I
a = 1.58784 − 1.27953I
b = −0.288614 − 0.645675I
−6.13373 + 9.45444I 0
u = −0.282250 + 0.707194I
a = −0.280043 − 1.165130I
b = −0.735495 − 0.358113I
−1.85063 + 2.39683I 0
u = −0.282250 − 0.707194I
a = −0.280043 + 1.165130I
b = −0.735495 + 0.358113I
−1.85063 − 2.39683I 0
u = −1.247330 + 0.058445I
a = −1.07170 + 1.61991I
b = −0.067135 + 0.807125I
−8.55110 − 0.86479I 0
u = −1.247330 − 0.058445I
a = −1.07170 − 1.61991I
b = −0.067135 − 0.807125I
−8.55110 + 0.86479I 0
u = 1.205270 + 0.327362I
a = 0.669062 + 0.830430I
b = −0.533111 + 0.808691I
−3.17488 − 2.14050I 0
u = 1.205270 − 0.327362I
a = 0.669062 − 0.830430I
b = −0.533111 − 0.808691I
−3.17488 + 2.14050I 0
u = 0.327958 + 0.663780I
a = −0.927633 + 0.038826I
b = 1.057040 + 0.704387I
−0.00772 + 7.17049I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.327958 − 0.663780I
a = −0.927633 − 0.038826I
b = 1.057040 − 0.704387I
−0.00772 − 7.17049I 0
u = 0.012202 + 1.265000I
a = 0.0647472 + 0.0104404I
b = −0.226588 + 0.775219I
−1.44674 − 2.78950I 0
u = 0.012202 − 1.265000I
a = 0.0647472 − 0.0104404I
b = −0.226588 − 0.775219I
−1.44674 + 2.78950I 0
u = 1.282870 + 0.113745I
a = 0.217836 + 1.053510I
b = −0.458722 + 0.881054I
−3.27327 − 1.47146I 0
u = 1.282870 − 0.113745I
a = 0.217836 − 1.053510I
b = −0.458722 − 0.881054I
−3.27327 + 1.47146I 0
u = −1.276080 + 0.200277I
a = −0.343334 + 0.789554I
b = −0.845919 + 0.569676I
−5.14547 + 1.35722I 0
u = −1.276080 − 0.200277I
a = −0.343334 − 0.789554I
b = −0.845919 − 0.569676I
−5.14547 − 1.35722I 0
u = 1.314330 + 0.048916I
a = −0.81780 + 1.67966I
b = −0.068630 + 0.779887I
−7.40804 − 4.47819I 0
u = 1.314330 − 0.048916I
a = −0.81780 − 1.67966I
b = −0.068630 − 0.779887I
−7.40804 + 4.47819I 0
u = −0.668100 + 0.128523I
a = 1.06443 + 1.55537I
b = 0.475499 + 0.372168I
2.64434 + 1.05337I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.668100 − 0.128523I
a = 1.06443 − 1.55537I
b = 0.475499 − 0.372168I
2.64434 − 1.05337I 0
u = −0.343643 + 0.586130I
a = 0.207282 + 0.376920I
b = −0.681941 − 0.905837I
−4.76926 + 2.89327I 0
u = −0.343643 − 0.586130I
a = 0.207282 − 0.376920I
b = −0.681941 + 0.905837I
−4.76926 − 2.89327I 0
u = −1.325720 + 0.027156I
a = 0.65965 + 1.59435I
b = 1.09126 + 1.92199I
−5.92496 + 5.44183I 0
u = −1.325720 − 0.027156I
a = 0.65965 − 1.59435I
b = 1.09126 − 1.92199I
−5.92496 − 5.44183I 0
u = −1.281900 + 0.498733I
a = −0.892083 + 0.763089I
b = 0.117064 + 0.851389I
−8.57748 + 0.88225I 0
u = −1.281900 − 0.498733I
a = −0.892083 − 0.763089I
b = 0.117064 − 0.851389I
−8.57748 − 0.88225I 0
u = −0.198614 + 0.577381I
a = 0.239318 + 0.330408I
b = 0.595695 − 0.486141I
1.010920 − 0.883539I 0
u = −0.198614 − 0.577381I
a = 0.239318 − 0.330408I
b = 0.595695 + 0.486141I
1.010920 + 0.883539I 0
u = 1.323560 + 0.441421I
a = 0.864050 + 1.015820I
b = 0.27725 + 1.79614I
−5.56788 − 5.01333I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.323560 − 0.441421I
a = 0.864050 − 1.015820I
b = 0.27725 − 1.79614I
−5.56788 + 5.01333I 0
u = 0.325093 + 0.508781I
a = −0.081684 + 0.140427I
b = 1.006040 + 0.467639I
4.45069 − 0.36184I 0
u = 0.325093 − 0.508781I
a = −0.081684 − 0.140427I
b = 1.006040 − 0.467639I
4.45069 + 0.36184I 0
u = 1.36885 + 0.36876I
a = −0.04057 + 1.70575I
b = −0.92514 + 1.54786I
−9.90194 − 6.89799I 0
u = 1.36885 − 0.36876I
a = −0.04057 − 1.70575I
b = −0.92514 − 1.54786I
−9.90194 + 6.89799I 0
u = −1.33014 + 0.51525I
a = −0.316409 + 1.292020I
b = 0.46348 + 1.40607I
−2.92403 + 6.94331I 0
u = −1.33014 − 0.51525I
a = −0.316409 − 1.292020I
b = 0.46348 − 1.40607I
−2.92403 − 6.94331I 0
u = 1.34450 + 0.53734I
a = 0.27958 + 1.63896I
b = −0.59477 + 1.49157I
−8.21494 − 9.81676I 0
u = 1.34450 − 0.53734I
a = 0.27958 − 1.63896I
b = −0.59477 − 1.49157I
−8.21494 + 9.81676I 0
u = −0.00921 + 1.45579I
a = −0.0124504 + 0.0153640I
b = −0.243685 − 0.693284I
2.54879 + 6.99583I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.00921 − 1.45579I
a = −0.0124504 − 0.0153640I
b = −0.243685 + 0.693284I
2.54879 − 6.99583I 0
u = 1.35734 + 0.56356I
a = 0.321951 + 1.046950I
b = −0.830586 + 1.050930I
−2.53664 − 3.87888I 0
u = 1.35734 − 0.56356I
a = 0.321951 − 1.046950I
b = −0.830586 − 1.050930I
−2.53664 + 3.87888I 0
u = −1.40589 + 0.47370I
a = −0.21826 + 1.60316I
b = 1.18111 + 2.01498I
−4.50560 + 7.27936I 0
u = −1.40589 − 0.47370I
a = −0.21826 − 1.60316I
b = 1.18111 − 2.01498I
−4.50560 − 7.27936I 0
u = 1.38998 + 0.52477I
a = −0.22510 − 1.59400I
b = 1.05072 − 1.52408I
−11.6002 − 13.7978I 0
u = 1.38998 − 0.52477I
a = −0.22510 + 1.59400I
b = 1.05072 + 1.52408I
−11.6002 + 13.7978I 0
u = −1.40616 + 0.50944I
a = 0.25369 − 1.53815I
b = −0.64117 − 1.36346I
−8.47222 + 7.31099I 0
u = −1.40616 − 0.50944I
a = 0.25369 + 1.53815I
b = −0.64117 + 1.36346I
−8.47222 − 7.31099I 0
u = −1.43705 + 0.41795I
a = −0.02431 − 1.53046I
b = −0.90783 − 1.39477I
−9.3423 + 10.7264I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43705 − 0.41795I
a = −0.02431 + 1.53046I
b = −0.90783 + 1.39477I
−9.3423 − 10.7264I 0
u = −1.39920 + 0.53936I
a = −0.20694 + 1.58779I
b = 0.99308 + 1.50160I
−8.1548 + 20.2998I 0
u = −1.39920 − 0.53936I
a = −0.20694 − 1.58779I
b = 0.99308 − 1.50160I
−8.1548 − 20.2998I 0
u = −1.42181 + 0.53107I
a = 0.173019 − 1.208400I
b = −0.817042 − 1.134700I
−6.16542 + 9.00087I 0
u = −1.42181 − 0.53107I
a = 0.173019 + 1.208400I
b = −0.817042 + 1.134700I
−6.16542 − 9.00087I 0
u = 1.41936 + 0.55478I
a = −0.611534 − 0.893951I
b = 0.162081 − 0.978837I
−8.13440 − 4.73588I 0
u = 1.41936 − 0.55478I
a = −0.611534 + 0.893951I
b = 0.162081 + 0.978837I
−8.13440 + 4.73588I 0
u = 1.45901 + 0.49891I
a = −0.199424 − 1.013340I
b = 0.478238 − 1.119680I
−6.38776 − 3.51668I 0
u = 1.45901 − 0.49891I
a = −0.199424 + 1.013340I
b = 0.478238 + 1.119680I
−6.38776 + 3.51668I 0
u = −1.44500 + 0.54637I
a = 0.599728 − 0.761273I
b = −0.075661 − 1.248430I
−11.49990 − 1.75481I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.44500 − 0.54637I
a = 0.599728 + 0.761273I
b = −0.075661 + 1.248430I
−11.49990 + 1.75481I 0
u = 1.45510 + 0.55770I
a = 0.062544 + 1.158230I
b = −0.88196 + 1.12725I
−2.38417 − 13.73050I 0
u = 1.45510 − 0.55770I
a = 0.062544 − 1.158230I
b = −0.88196 − 1.12725I
−2.38417 + 13.73050I 0
u = 1.49488 + 0.54971I
a = 0.556075 + 0.702569I
b = −0.074312 + 1.106710I
−8.20067 + 7.88855I 0
u = 1.49488 − 0.54971I
a = 0.556075 − 0.702569I
b = −0.074312 − 1.106710I
−8.20067 − 7.88855I 0
u = −1.54678 + 0.38241I
a = 0.058988 + 0.963652I
b = 0.671602 + 1.051840I
−3.44852 − 0.15850I 0
u = −1.54678 − 0.38241I
a = 0.058988 − 0.963652I
b = 0.671602 − 1.051840I
−3.44852 + 0.15850I 0
u = −0.403651
a = 0.269102
b = 1.17376
3.11032 −14.4860
u = −0.017309 + 0.345215I
a = −0.64237 + 1.75395I
b = −0.754075 − 0.974867I
−4.65307 + 2.82812I −1.91627 − 3.18964I
u = −0.017309 − 0.345215I
a = −0.64237 − 1.75395I
b = −0.754075 + 0.974867I
−4.65307 − 2.82812I −1.91627 + 3.18964I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.46816 + 0.88855I
a = −0.331077 + 0.392184I
b = 0.298333 + 0.738138I
−6.28229 + 4.32405I 0
u = −1.46816 − 0.88855I
a = −0.331077 − 0.392184I
b = 0.298333 − 0.738138I
−6.28229 − 4.32405I 0
u = 1.58743 + 0.69474I
a = −0.213989 − 0.594570I
b = 0.414341 − 0.814522I
−7.00010 − 2.20644I 0
u = 1.58743 − 0.69474I
a = −0.213989 + 0.594570I
b = 0.414341 + 0.814522I
−7.00010 + 2.20644I 0
u = −0.156395 + 0.203509I
a = −0.57502 − 5.54669I
b = 0.577216 + 0.859044I
−5.50574 − 2.51494I −0.277428 + 1.330396I
u = −0.156395 − 0.203509I
a = −0.57502 + 5.54669I
b = 0.577216 − 0.859044I
−5.50574 + 2.51494I −0.277428 − 1.330396I
u = 0.172907 + 0.041641I
a = 5.13888 + 1.21083I
b = −0.051203 − 0.483822I
−1.37595 − 1.18765I −5.19575 − 0.40054I
u = 0.172907 − 0.041641I
a = 5.13888 − 1.21083I
b = −0.051203 + 0.483822I
−1.37595 + 1.18765I −5.19575 + 0.40054I
u = −0.0350083 + 0.1355980I
a = −0.33266 − 7.16426I
b = −0.679654 − 0.787469I
−3.73207 − 1.00515I −2.40866 + 2.83393I
u = −0.0350083 − 0.1355980I
a = −0.33266 + 7.16426I
b = −0.679654 + 0.787469I
−3.73207 + 1.00515I −2.40866 − 2.83393I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.1232550 + 0.0012074I
a = 10.42810 − 7.79652I
b = 0.794455 − 0.940532I
−2.25570 + 8.60093I 2.87789 − 3.87010I
u = −0.1232550 − 0.0012074I
a = 10.42810 + 7.79652I
b = 0.794455 + 0.940532I
−2.25570 − 8.60093I 2.87789 + 3.87010I
u = 0.0779976 + 0.0571355I
a = −11.07950 − 0.60969I
b = 0.081061 − 0.855623I
1.20762 − 5.23630I −0.16932 + 5.08837I
u = 0.0779976 − 0.0571355I
a = −11.07950 + 0.60969I
b = 0.081061 + 0.855623I
1.20762 + 5.23630I −0.16932 − 5.08837I
21
II. I
u
2
= h−1.98 × 10
43
u
43
+ 9.68 × 10
42
u
42
+ · · · + 1.94 × 10
43
b − 2.15 ×
10
43
, −8.59 × 10
42
u
43
+ 2.48 × 10
43
u
42
+ · · · + 1.94 × 10
43
a − 2.24 ×
10
43
, u
44
− 14u
42
+ · · · − 6u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
0.442348u
43
− 1.27605u
42
+ ··· + 9.48823u + 1.15202
1.02107u
43
− 0.498897u
42
+ ··· + 0.456345u + 1.10921
a
7
=
1
u
2
a
8
=
−1.86583u
43
+ 1.94186u
42
+ ··· + 8.11038u − 2.61443
−2.73749u
43
− 1.19751u
42
+ ··· − 3.68047u − 0.277328
a
12
=
−u
−u
3
+ u
a
4
=
−0.951559u
43
− 1.50839u
42
+ ··· + 9.19417u + 1.36164
0.530214u
43
− 0.642325u
42
+ ··· + 0.750293u + 1.13192
a
2
=
−0.578727u
43
− 0.777152u
42
+ ··· + 9.03189u + 0.0428080
1.02107u
43
− 0.498897u
42
+ ··· + 0.456345u + 1.10921
a
1
=
3.75965u
43
+ 3.18740u
42
+ ··· + 26.6527u + 0.527639
−1.21929u
43
− 1.45127u
42
+ ··· − 0.893534u + 3.25217
a
5
=
−3.03093u
43
+ 0.485290u
42
+ ··· + 15.7037u + 1.16313
−1.74433u
43
− 1.39069u
42
+ ··· − 0.604828u + 1.79368
a
10
=
3.10216u
43
+ 1.98381u
42
+ ··· + 12.5978u − 2.70383
−0.469843u
43
− 3.60173u
42
+ ··· − 13.2327u + 2.48958
a
9
=
−1.99045u
43
− 2.99452u
42
+ ··· − 24.8396u − 1.21104
0.872695u
43
− 0.591305u
42
+ ··· − 6.80976u − 1.68244
(ii) Obstruction class = 1
(iii) Cusp Shapes = 8.44648u
43
+ 7.77679u
42
+ ··· + 29.5073u + 7.06652
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
44
− 16u
43
+ ··· − u + 1
c
2
u
44
+ 11u
42
+ ··· + 24u + 4
c
3
u
44
− 5u
43
+ ··· + 459u + 53
c
4
u
44
− u
43
+ ··· − 12u + 1
c
5
u
44
+ 2u
43
+ ··· − 3u + 1
c
6
u
44
− 14u
42
+ ··· − 6u + 1
c
7
u
44
+ 5u
42
+ ··· + 5u + 1
c
8
u
44
− 2u
43
+ ··· + 3u + 1
c
9
u
44
− 3u
43
+ ··· − 12u + 4
c
10
u
44
+ u
43
+ ··· + 21u + 5
c
11
u
44
− 14u
42
+ ··· + 6u + 1
c
12
u
44
+ 3u
43
+ ··· + 12u + 4
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
44
+ 2y
43
+ ··· + 13y + 1
c
2
y
44
+ 22y
43
+ ··· + 160y + 16
c
3
y
44
− 23y
43
+ ··· − 54861y + 2809
c
4
y
44
+ 11y
43
+ ··· − 30y + 1
c
5
, c
8
y
44
+ 42y
43
+ ··· + 41y + 1
c
6
, c
11
y
44
− 28y
43
+ ··· − 62y + 1
c
7
y
44
+ 10y
43
+ ··· + 25y + 1
c
9
, c
12
y
44
− 33y
43
+ ··· − 336y + 16
c
10
y
44
− 33y
43
+ ··· + 139y + 25
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.568391 + 0.729128I
a = 0.326516 − 0.134851I
b = 0.380316 − 0.794226I
1.76900 − 2.98029I 1.04056 + 5.86823I
u = −0.568391 − 0.729128I
a = 0.326516 + 0.134851I
b = 0.380316 + 0.794226I
1.76900 + 2.98029I 1.04056 − 5.86823I
u = −0.033308 + 0.916019I
a = −0.384168 − 0.100421I
b = −0.541615 − 0.980435I
−3.90826 + 3.71668I 4.02023 − 0.85316I
u = −0.033308 − 0.916019I
a = −0.384168 + 0.100421I
b = −0.541615 + 0.980435I
−3.90826 − 3.71668I 4.02023 + 0.85316I
u = −0.892569 + 0.173792I
a = 1.71165 − 1.41188I
b = −0.211018 − 1.068310I
−6.75098 + 3.24279I −5.20056 − 3.28738I
u = −0.892569 − 0.173792I
a = 1.71165 + 1.41188I
b = −0.211018 + 1.068310I
−6.75098 − 3.24279I −5.20056 + 3.28738I
u = 0.877395 + 0.152405I
a = 2.10983 + 2.09126I
b = 0.84419 + 1.16328I
−3.27466 − 9.05461I −3.85875 + 6.80346I
u = 0.877395 − 0.152405I
a = 2.10983 − 2.09126I
b = 0.84419 − 1.16328I
−3.27466 + 9.05461I −3.85875 − 6.80346I
u = −1.067210 + 0.329641I
a = −0.56149 + 1.96654I
b = 0.24571 + 1.41174I
0.23792 + 6.95330I −0.19235 − 8.00770I
u = −1.067210 − 0.329641I
a = −0.56149 − 1.96654I
b = 0.24571 − 1.41174I
0.23792 − 6.95330I −0.19235 + 8.00770I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.330852 + 0.811289I
a = −0.563311 + 0.372540I
b = 0.275944 − 0.148859I
−0.73315 − 2.06862I −1.57378 + 3.38991I
u = 0.330852 − 0.811289I
a = −0.563311 − 0.372540I
b = 0.275944 + 0.148859I
−0.73315 + 2.06862I −1.57378 − 3.38991I
u = −1.172850 + 0.021726I
a = −0.583184 + 1.156580I
b = 0.559159 + 1.117440I
−8.10503 − 2.37367I −6.79272 + 2.26525I
u = −1.172850 − 0.021726I
a = −0.583184 − 1.156580I
b = 0.559159 − 1.117440I
−8.10503 + 2.37367I −6.79272 − 2.26525I
u = 1.192190 + 0.007031I
a = 0.445993 − 0.289531I
b = 1.47886 + 0.24026I
−4.77244 − 8.33818I −2.93267 + 4.59657I
u = 1.192190 − 0.007031I
a = 0.445993 + 0.289531I
b = 1.47886 − 0.24026I
−4.77244 + 8.33818I −2.93267 − 4.59657I
u = −0.265778 + 1.172380I
a = −0.337377 − 0.276762I
b = 0.103325 + 0.346660I
2.85117 + 6.46214I 3.00364 − 1.54985I
u = −0.265778 − 1.172380I
a = −0.337377 + 0.276762I
b = 0.103325 − 0.346660I
2.85117 − 6.46214I 3.00364 + 1.54985I
u = 0.392625 + 1.141650I
a = −0.102520 − 0.444080I
b = 0.377598 + 0.999885I
1.04603 − 2.36836I 44.1617 + 18.2072I
u = 0.392625 − 1.141650I
a = −0.102520 + 0.444080I
b = 0.377598 − 0.999885I
1.04603 + 2.36836I 44.1617 − 18.2072I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.152800 + 0.390687I
a = −0.40730 − 1.37844I
b = 0.750002 − 0.841006I
−1.70467 − 3.09935I 3.87495 + 4.69017I
u = 1.152800 − 0.390687I
a = −0.40730 + 1.37844I
b = 0.750002 + 0.841006I
−1.70467 + 3.09935I 3.87495 − 4.69017I
u = −1.224780 + 0.039877I
a = −0.79988 − 1.85151I
b = −0.103003 − 0.956789I
−7.94022 + 2.00227I −7.11951 − 1.81247I
u = −1.224780 − 0.039877I
a = −0.79988 + 1.85151I
b = −0.103003 + 0.956789I
−7.94022 − 2.00227I −7.11951 + 1.81247I
u = −1.132700 + 0.469548I
a = 0.204521 − 0.037375I
b = −0.736644 − 0.459692I
−5.16435 + 3.96917I −2.76653 − 7.09820I
u = −1.132700 − 0.469548I
a = 0.204521 + 0.037375I
b = −0.736644 + 0.459692I
−5.16435 − 3.96917I −2.76653 + 7.09820I
u = 0.253854 + 0.728873I
a = −0.079304 + 0.813278I
b = −0.626223 + 0.602615I
−2.68839 − 0.52478I −1.61508 + 0.33967I
u = 0.253854 − 0.728873I
a = −0.079304 − 0.813278I
b = −0.626223 − 0.602615I
−2.68839 + 0.52478I −1.61508 − 0.33967I
u = 1.250770 + 0.172717I
a = 0.019104 − 0.386515I
b = −0.867769 − 0.098738I
−5.72596 − 0.65381I −5.93761 − 2.46971I
u = 1.250770 − 0.172717I
a = 0.019104 + 0.386515I
b = −0.867769 + 0.098738I
−5.72596 + 0.65381I −5.93761 + 2.46971I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.257720 + 0.122794I
a = −0.59138 − 1.49408I
b = −0.607999 − 1.208340I
−6.19270 − 2.65309I −5.10233 + 4.38496I
u = 1.257720 − 0.122794I
a = −0.59138 + 1.49408I
b = −0.607999 + 1.208340I
−6.19270 + 2.65309I −5.10233 − 4.38496I
u = 1.25358 + 0.67281I
a = −0.688839 − 0.557867I
b = −0.035633 − 1.006920I
−4.93206 − 3.97224I 0
u = 1.25358 − 0.67281I
a = −0.688839 + 0.557867I
b = −0.035633 + 1.006920I
−4.93206 + 3.97224I 0
u = −1.38297 + 0.42968I
a = 0.20311 − 1.65072I
b = −0.98968 − 2.08326I
−4.74525 + 7.21929I 0
u = −1.38297 − 0.42968I
a = 0.20311 + 1.65072I
b = −0.98968 + 2.08326I
−4.74525 − 7.21929I 0
u = 1.38628 + 0.47518I
a = 0.14872 + 1.60907I
b = −0.66815 + 1.39929I
−8.43963 − 8.97237I 0
u = 1.38628 − 0.47518I
a = 0.14872 − 1.60907I
b = −0.66815 − 1.39929I
−8.43963 + 8.97237I 0
u = −0.284970 + 0.195129I
a = −3.73768 + 0.96889I
b = −0.951565 + 0.974494I
−0.01919 − 4.06027I 6.09263 + 2.79987I
u = −0.284970 − 0.195129I
a = −3.73768 − 0.96889I
b = −0.951565 − 0.974494I
−0.01919 + 4.06027I 6.09263 − 2.79987I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.50227 + 0.73187I
a = −0.344001 + 0.559432I
b = 0.322144 + 0.772354I
−6.68223 + 2.75026I 0
u = −1.50227 − 0.73187I
a = −0.344001 − 0.559432I
b = 0.322144 − 0.772354I
−6.68223 − 2.75026I 0
u = 0.179744 + 0.051296I
a = 3.01100 + 0.69411I
b = 1.002060 − 0.051157I
3.49795 + 0.09195I 9.24755 − 2.37966I
u = 0.179744 − 0.051296I
a = 3.01100 − 0.69411I
b = 1.002060 + 0.051157I
3.49795 − 0.09195I 9.24755 + 2.37966I
31
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
44
− 16u
43
+ ··· − u + 1)(u
164
+ 5u
163
+ ··· − 49u + 1)
c
2
(u
44
+ 11u
42
+ ··· + 24u + 4)
· (u
164
+ u
163
+ ··· + 36157964272u + 1936765232)
c
3
(u
44
− 5u
43
+ ··· + 459u + 53)
· (u
164
− 45u
162
+ ··· − 4066348387u + 426841301)
c
4
(u
44
− u
43
+ ··· − 12u + 1)(u
164
− 2u
163
+ ··· + 540u + 19)
c
5
(u
44
+ 2u
43
+ ··· − 3u + 1)(u
164
+ 11u
163
+ ··· + 9685865u + 827737)
c
6
(u
44
− 14u
42
+ ··· − 6u + 1)(u
164
− u
163
+ ··· − 2u + 1)
c
7
(u
44
+ 5u
42
+ ··· + 5u + 1)
· (u
164
+ u
163
+ ··· + 2097860395u + 150897161)
c
8
(u
44
− 2u
43
+ ··· + 3u + 1)(u
164
+ 11u
163
+ ··· + 9685865u + 827737)
c
9
(u
44
− 3u
43
+ ··· − 12u + 4)(u
164
− 50u
162
+ ··· + 992u + 1808)
c
10
(u
44
+ u
43
+ ··· + 21u + 5)
· (u
164
+ 6u
163
+ ··· + 1784816067153u + 207574985671)
c
11
(u
44
− 14u
42
+ ··· + 6u + 1)(u
164
− u
163
+ ··· − 2u + 1)
c
12
(u
44
+ 3u
43
+ ··· + 12u + 4)(u
164
− 50u
162
+ ··· + 992u + 1808)
32
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
44
+ 2y
43
+ ··· + 13y + 1)(y
164
+ 3y
163
+ ··· − 411y + 1)
c
2
(y
44
+ 22y
43
+ ··· + 160y + 16)
· (y
164
+ 75y
163
+ ··· + 1.76 × 10
20
y + 3.75 × 10
18
)
c
3
(y
44
− 23y
43
+ ··· − 54861y + 2809)
· (y
164
− 90y
163
+ ··· − 2.04 × 10
19
y + 1.82 × 10
17
)
c
4
(y
44
+ 11y
43
+ ··· − 30y + 1)(y
164
+ 16y
163
+ ··· − 4434y + 361)
c
5
, c
8
(y
44
+ 42y
43
+ ··· + 41y + 1)
· (y
164
+ 139y
163
+ ··· − 8776342483355y + 685148541169)
c
6
, c
11
(y
44
− 28y
43
+ ··· − 62y + 1)(y
164
− 115y
163
+ ··· − 170y + 1)
c
7
(y
44
+ 10y
43
+ ··· + 25y + 1)
· (y
164
+ 59y
163
+ ··· + 634377626274351873y + 22769953197859921)
c
9
, c
12
(y
44
− 33y
43
+ ··· − 336y + 16)
· (y
164
− 100y
163
+ ··· − 153608192y + 3268864)
c
10
(y
44
− 33y
43
+ ··· + 139y + 25)
· (y
164
− 108y
163
+ ··· − 3.42 × 10
24
y + 4.31 × 10
22
)
33
