12a
0013
(K12a
0013
)
A knot diagram
1
Linearized knot diagam
3 5 6 8 2 11 10 4 12 1 9 7
Solving Sequence
4,8
5
9,12
10 7 1 11 6 3 2
c
4
c
8
c
9
c
7
c
12
c
11
c
6
c
3
c
2
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.02573 × 10
605
u
137
− 5.51686 × 10
604
u
136
+ ··· + 1.68194 × 10
607
b − 1.50040 × 10
609
,
− 1.26961 × 10
605
u
137
+ 7.22190 × 10
603
u
136
+ ··· + 3.36387 × 10
607
a − 1.61972 × 10
609
,
u
138
− u
137
+ ··· + 20480u + 4096i
I
v
1
= ha, 1003453v
11
+ 865361v
10
+ ··· + 707733b + 3119402,
v
12
+ v
11
− 4v
10
+ 5v
9
+ 19v
8
− 9v
7
− 31v
6
− 29v
5
+ 31v
4
+ 18v
3
+ 3v
2
+ 3v + 1i
* 2 irreducible components of dim
C
= 0, with total 150 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−1.03 × 10
605
u
137
− 5.52 × 10
604
u
136
+ · · · + 1.68 × 10
607
b − 1.50 ×
10
609
, −1.27 × 10
605
u
137
+ 7.22 × 10
603
u
136
+ · · · + 3.36 × 10
607
a − 1.62 ×
10
609
, u
138
− u
137
+ · · · + 20480u + 4096i
(i) Arc colorings
a
4
=
1
0
a
8
=
0
u
a
5
=
1
−u
2
a
9
=
u
u
a
12
=
0.00377426u
137
− 0.000214690u
136
+ ··· + 293.153u + 48.1505
0.00609849u
137
+ 0.00328006u
136
+ ··· + 526.701u + 89.2069
a
10
=
0.00379341u
137
− 0.000460878u
136
+ ··· + 240.394u + 41.2322
−0.000165105u
137
+ 0.00929262u
136
+ ··· + 481.361u + 91.1423
a
7
=
−0.00238794u
137
+ 0.00493619u
136
+ ··· + 123.217u + 26.1622
−0.00357361u
137
+ 0.00819517u
136
+ ··· + 291.628u + 68.2308
a
1
=
0.00439295u
137
− 0.00147919u
136
+ ··· + 168.616u + 28.0993
0.00376122u
137
+ 0.00304781u
136
+ ··· + 360.623u + 65.1201
a
11
=
0.00261300u
137
− 0.00172294u
136
+ ··· + 164.460u + 24.3159
0.00493724u
137
+ 0.00177181u
136
+ ··· + 398.008u + 65.3723
a
6
=
−0.00223744u
137
+ 0.00437981u
136
+ ··· + 114.339u + 25.0860
0.00215551u
137
+ 0.00290062u
136
+ ··· + 282.955u + 53.1853
a
3
=
0.00294739u
137
+ 0.000658646u
136
+ ··· + 125.123u + 20.7746
0.00255322u
137
+ 0.00251675u
136
+ ··· + 220.759u + 39.9007
a
2
=
0.00113636u
137
− 0.000399544u
136
+ ··· − 9.71148u − 4.35571
0.00149437u
137
+ 0.00230841u
136
+ ··· + 154.579u + 28.1483
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0290540u
137
+ 0.0285193u
136
+ ··· − 46.2850u + 54.5174
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
138
+ 67u
137
+ ··· + 33u + 1
c
2
, c
5
u
138
+ 7u
137
+ ··· + 9u + 1
c
3
u
138
− 7u
137
+ ··· − 98472303u + 13657673
c
4
, c
8
u
138
− u
137
+ ··· + 20480u + 4096
c
6
u
138
− 3u
137
+ ··· + 206471u + 14069
c
7
u
138
− 9u
137
+ ··· + 30021u − 1831
c
9
, c
11
u
138
− 3u
137
+ ··· − 23u + 1
c
10
u
138
+ 23u
137
+ ··· + 3u + 1
c
12
u
138
+ 9u
137
+ ··· + 3u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
138
+ 15y
137
+ ··· − 35y + 1
c
2
, c
5
y
138
+ 67y
137
+ ··· + 33y + 1
c
3
y
138
− 37y
137
+ ··· + 2159732187820305y + 186532031774929
c
4
, c
8
y
138
+ 65y
137
+ ··· + 503316480y + 16777216
c
6
y
138
− 109y
137
+ ··· + 23684604833y + 197936761
c
7
y
138
− 137y
137
+ ··· − 472810103y + 3352561
c
9
, c
11
y
138
− 89y
137
+ ··· − 23y + 1
c
10
y
138
− 9y
137
+ ··· − 23y + 1
c
12
y
138
+ 23y
137
+ ··· + 9y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.225717 + 0.984869I
a = 0.579663 + 0.604540I
b = −0.387131 + 0.194000I
−2.26109 + 1.21839I 0
u = −0.225717 − 0.984869I
a = 0.579663 − 0.604540I
b = −0.387131 − 0.194000I
−2.26109 − 1.21839I 0
u = 0.968613 + 0.291315I
a = −1.180740 + 0.387329I
b = 0.252559 + 0.591464I
−3.85751 − 5.17156I 0
u = 0.968613 − 0.291315I
a = −1.180740 − 0.387329I
b = 0.252559 − 0.591464I
−3.85751 + 5.17156I 0
u = −0.844113 + 0.492611I
a = 0.158255 − 0.087896I
b = −0.269909 + 0.863925I
2.70862 + 2.80444I 0
u = −0.844113 − 0.492611I
a = 0.158255 + 0.087896I
b = −0.269909 − 0.863925I
2.70862 − 2.80444I 0
u = −0.495236 + 0.898497I
a = 0.019024 − 0.146844I
b = 0.948882 − 0.570151I
2.48949 − 5.71532I 0
u = −0.495236 − 0.898497I
a = 0.019024 + 0.146844I
b = 0.948882 + 0.570151I
2.48949 + 5.71532I 0
u = 0.407051 + 0.951666I
a = −1.52335 + 1.26262I
b = −1.074140 + 0.684833I
−1.49189 + 2.01388I 0
u = 0.407051 − 0.951666I
a = −1.52335 − 1.26262I
b = −1.074140 − 0.684833I
−1.49189 − 2.01388I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.691921 + 0.666142I
a = 0.456057 − 0.396135I
b = 0.126915 + 0.564332I
1.63530 + 4.17072I 0
u = 0.691921 − 0.666142I
a = 0.456057 + 0.396135I
b = 0.126915 − 0.564332I
1.63530 − 4.17072I 0
u = 0.647033 + 0.696244I
a = 0.422005 + 0.408919I
b = 0.283663 + 0.509054I
1.41425 + 1.45110I 0
u = 0.647033 − 0.696244I
a = 0.422005 − 0.408919I
b = 0.283663 − 0.509054I
1.41425 − 1.45110I 0
u = 0.362183 + 0.876985I
a = −0.912633 − 0.186335I
b = −0.132549 + 0.693970I
1.44585 + 2.70079I 0
u = 0.362183 − 0.876985I
a = −0.912633 + 0.186335I
b = −0.132549 − 0.693970I
1.44585 − 2.70079I 0
u = 0.924692 + 0.109605I
a = −1.024280 − 0.180693I
b = 0.441690 − 0.778597I
−4.26855 − 1.64031I 0
u = 0.924692 − 0.109605I
a = −1.024280 + 0.180693I
b = 0.441690 + 0.778597I
−4.26855 + 1.64031I 0
u = −0.790483 + 0.476530I
a = −0.438850 + 0.486313I
b = −0.469636 + 0.639265I
−0.04648 + 3.17550I 0
u = −0.790483 − 0.476530I
a = −0.438850 − 0.486313I
b = −0.469636 − 0.639265I
−0.04648 − 3.17550I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.883665 + 0.175408I
a = 0.321753 − 0.009471I
b = 0.645569 + 0.875733I
−0.821300 − 0.506241I 0
u = 0.883665 − 0.175408I
a = 0.321753 + 0.009471I
b = 0.645569 − 0.875733I
−0.821300 + 0.506241I 0
u = −0.466251 + 0.764985I
a = 0.069690 − 0.681203I
b = 0.033362 + 0.508845I
0.18427 − 8.79554I 0
u = −0.466251 − 0.764985I
a = 0.069690 + 0.681203I
b = 0.033362 − 0.508845I
0.18427 + 8.79554I 0
u = 1.000430 + 0.471347I
a = −0.104813 + 0.095842I
b = 0.303032 + 0.995610I
0.61052 − 7.36350I 0
u = 1.000430 − 0.471347I
a = −0.104813 − 0.095842I
b = 0.303032 − 0.995610I
0.61052 + 7.36350I 0
u = 0.390996 + 0.800553I
a = −0.178611 − 0.025175I
b = −1.156960 − 0.404768I
1.65391 + 0.55987I 0
u = 0.390996 − 0.800553I
a = −0.178611 + 0.025175I
b = −1.156960 + 0.404768I
1.65391 − 0.55987I 0
u = 0.354325 + 1.078600I
a = −0.01501 + 1.78320I
b = 0.04612 + 2.99480I
−2.10779 + 5.70362I 0
u = 0.354325 − 1.078600I
a = −0.01501 − 1.78320I
b = 0.04612 − 2.99480I
−2.10779 − 5.70362I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.13904
a = 1.58831
b = 0.875958
1.10281 0
u = −0.166480 + 1.130730I
a = 1.20669 + 0.85577I
b = 0.891110 + 0.421423I
−5.25889 + 0.99512I 0
u = −0.166480 − 1.130730I
a = 1.20669 − 0.85577I
b = 0.891110 − 0.421423I
−5.25889 − 0.99512I 0
u = −1.055350 + 0.441739I
a = −1.79162 − 0.04916I
b = −0.573514 − 0.036880I
−1.00538 + 8.27121I 0
u = −1.055350 − 0.441739I
a = −1.79162 + 0.04916I
b = −0.573514 + 0.036880I
−1.00538 − 8.27121I 0
u = −0.805473 + 0.284873I
a = 4.04788 + 1.52296I
b = 2.89991 + 1.17979I
−2.05908 + 3.02563I 0
u = −0.805473 − 0.284873I
a = 4.04788 − 1.52296I
b = 2.89991 − 1.17979I
−2.05908 − 3.02563I 0
u = −0.523047 + 0.667669I
a = 0.610017 − 0.335414I
b = −0.036883 + 0.691270I
3.16409 + 1.56319I 0
u = −0.523047 − 0.667669I
a = 0.610017 + 0.335414I
b = −0.036883 − 0.691270I
3.16409 − 1.56319I 0
u = 0.494515 + 1.057540I
a = 0.92442 − 3.10541I
b = 1.21282 − 3.97846I
−2.24796 + 3.24421I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.494515 − 1.057540I
a = 0.92442 + 3.10541I
b = 1.21282 + 3.97846I
−2.24796 − 3.24421I 0
u = −0.147750 + 0.819139I
a = −1.43493 − 0.11635I
b = −0.338924 + 0.492886I
0.93710 − 3.59535I 0
u = −0.147750 − 0.819139I
a = −1.43493 + 0.11635I
b = −0.338924 − 0.492886I
0.93710 + 3.59535I 0
u = −0.309016 + 0.768051I
a = −0.422181 − 1.310040I
b = −0.33392 − 2.93018I
−2.00907 − 3.90626I 0
u = −0.309016 − 0.768051I
a = −0.422181 + 1.310040I
b = −0.33392 + 2.93018I
−2.00907 + 3.90626I 0
u = −0.419130 + 1.104740I
a = −0.722537 + 0.370757I
b = −0.449639 + 0.201537I
−4.22588 − 1.00117I 0
u = −0.419130 − 1.104740I
a = −0.722537 − 0.370757I
b = −0.449639 − 0.201537I
−4.22588 + 1.00117I 0
u = −0.403023 + 1.112730I
a = 0.349765 − 0.835030I
b = −0.35658 − 2.02769I
−5.07002 − 1.85762I 0
u = −0.403023 − 1.112730I
a = 0.349765 + 0.835030I
b = −0.35658 + 2.02769I
−5.07002 + 1.85762I 0
u = −0.482224 + 1.095960I
a = 0.05969 + 1.77481I
b = 0.09325 + 2.95431I
−1.36324 − 11.29470I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.482224 − 1.095960I
a = 0.05969 − 1.77481I
b = 0.09325 − 2.95431I
−1.36324 + 11.29470I 0
u = 0.617415 + 1.032780I
a = 0.574970 + 0.259044I
b = 0.248447 + 0.180594I
0.34659 + 3.64206I 0
u = 0.617415 − 1.032780I
a = 0.574970 − 0.259044I
b = 0.248447 − 0.180594I
0.34659 − 3.64206I 0
u = −0.299210 + 1.174910I
a = −0.54234 − 3.33474I
b = −0.70530 − 4.23889I
−6.50973 − 0.24697I 0
u = −0.299210 − 1.174910I
a = −0.54234 + 3.33474I
b = −0.70530 + 4.23889I
−6.50973 + 0.24697I 0
u = 0.594539 + 0.516126I
a = −2.54967 + 2.38035I
b = −1.59958 + 1.65772I
−0.564734 + 1.063680I −9.1645 − 19.4771I
u = 0.594539 − 0.516126I
a = −2.54967 − 2.38035I
b = −1.59958 − 1.65772I
−0.564734 − 1.063680I −9.1645 + 19.4771I
u = −0.471282 + 1.118030I
a = 1.63809 + 0.97837I
b = 1.172440 + 0.508569I
−3.90439 − 6.62338I 0
u = −0.471282 − 1.118030I
a = 1.63809 − 0.97837I
b = 1.172440 − 0.508569I
−3.90439 + 6.62338I 0
u = 0.468994 + 0.629619I
a = 2.41337 − 2.87969I
b = 3.08195 − 3.90289I
−0.61751 + 1.70960I −9.8208 + 17.9498I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.468994 − 0.629619I
a = 2.41337 + 2.87969I
b = 3.08195 + 3.90289I
−0.61751 − 1.70960I −9.8208 − 17.9498I
u = 0.382806 + 1.155410I
a = −0.745030 + 0.456753I
b = 0.245842 + 0.145084I
−4.91525 + 3.17082I 0
u = 0.382806 − 1.155410I
a = −0.745030 − 0.456753I
b = 0.245842 − 0.145084I
−4.91525 − 3.17082I 0
u = 0.080035 + 1.216100I
a = −0.531168 + 0.321422I
b = 0.375313 − 0.020539I
−5.86217 − 4.68661I 0
u = 0.080035 − 1.216100I
a = −0.531168 − 0.321422I
b = 0.375313 + 0.020539I
−5.86217 + 4.68661I 0
u = 1.204080 + 0.239536I
a = 1.72562 + 0.00365I
b = 0.612892 − 0.138695I
−5.12215 − 5.13211I 0
u = 1.204080 − 0.239536I
a = 1.72562 − 0.00365I
b = 0.612892 + 0.138695I
−5.12215 + 5.13211I 0
u = −0.514859 + 1.134730I
a = −0.441182 − 1.123630I
b = −0.32375 − 2.37445I
−4.22507 − 5.81215I 0
u = −0.514859 − 1.134730I
a = −0.441182 + 1.123630I
b = −0.32375 + 2.37445I
−4.22507 + 5.81215I 0
u = −0.752443 + 0.039638I
a = −0.906999 + 0.341567I
b = −1.191140 + 0.091862I
−1.00356 − 2.77254I 0.77684 + 5.56890I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.752443 − 0.039638I
a = −0.906999 − 0.341567I
b = −1.191140 − 0.091862I
−1.00356 + 2.77254I 0.77684 − 5.56890I
u = −0.536143 + 0.485236I
a = −2.10804 − 0.38913I
b = −0.366338 + 0.077201I
0.61191 + 7.14983I 3.75978 − 1.57652I
u = −0.536143 − 0.485236I
a = −2.10804 + 0.38913I
b = −0.366338 − 0.077201I
0.61191 − 7.14983I 3.75978 + 1.57652I
u = 0.722812
a = 1.18702
b = 0.689333
1.24576 9.34870
u = −0.633518 + 0.347110I
a = 1.42170 + 0.53993I
b = −0.320511 + 0.451540I
−1.79923 + 1.22022I −1.34511 − 3.56182I
u = −0.633518 − 0.347110I
a = 1.42170 − 0.53993I
b = −0.320511 − 0.451540I
−1.79923 − 1.22022I −1.34511 + 3.56182I
u = 0.229996 + 1.259400I
a = 0.10479 + 1.64136I
b = 0.05206 + 2.34450I
0.42778 + 2.94009I 0
u = 0.229996 − 1.259400I
a = 0.10479 − 1.64136I
b = 0.05206 − 2.34450I
0.42778 − 2.94009I 0
u = 0.237164 + 1.259150I
a = −0.383777 − 0.944347I
b = 0.18273 − 2.13081I
−9.23975 − 1.47869I 0
u = 0.237164 − 1.259150I
a = −0.383777 + 0.944347I
b = 0.18273 + 2.13081I
−9.23975 + 1.47869I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.625704 + 1.124680I
a = −0.230028 − 0.241010I
b = 0.624594 − 0.669696I
0.72901 − 8.31835I 0
u = −0.625704 − 1.124680I
a = −0.230028 + 0.241010I
b = 0.624594 + 0.669696I
0.72901 + 8.31835I 0
u = 1.179740 + 0.520421I
a = 1.75080 − 0.06322I
b = 0.632833 − 0.021950I
−3.53057 − 13.07050I 0
u = 1.179740 − 0.520421I
a = 1.75080 + 0.06322I
b = 0.632833 + 0.021950I
−3.53057 + 13.07050I 0
u = 0.185406 + 0.682883I
a = 1.56305 − 0.99116I
b = 0.274608 + 0.247795I
−0.44372 − 3.17076I −5.30905 − 2.16030I
u = 0.185406 − 0.682883I
a = 1.56305 + 0.99116I
b = 0.274608 − 0.247795I
−0.44372 + 3.17076I −5.30905 + 2.16030I
u = −0.557227 + 1.166990I
a = −0.75720 − 2.95824I
b = −1.01457 − 3.77301I
−4.70709 − 8.12492I 0
u = −0.557227 − 1.166990I
a = −0.75720 + 2.95824I
b = −1.01457 + 3.77301I
−4.70709 + 8.12492I 0
u = 0.484539 + 1.201990I
a = 0.290836 − 0.118683I
b = −0.566310 − 0.513321I
−4.09738 + 5.40863I 0
u = 0.484539 − 1.201990I
a = 0.290836 + 0.118683I
b = −0.566310 + 0.513321I
−4.09738 − 5.40863I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.652158 + 1.121780I
a = −0.624143 + 0.187615I
b = −0.263057 + 0.073560I
−1.92373 − 8.69899I 0
u = −0.652158 − 1.121780I
a = −0.624143 − 0.187615I
b = −0.263057 − 0.073560I
−1.92373 + 8.69899I 0
u = 0.354774 + 1.248840I
a = 0.419133 − 1.108220I
b = 0.19103 − 2.34062I
−8.72518 + 2.65013I 0
u = 0.354774 − 1.248840I
a = 0.419133 + 1.108220I
b = 0.19103 + 2.34062I
−8.72518 − 2.65013I 0
u = 0.456208 + 0.530857I
a = 1.69701 + 0.12649I
b = 0.452926 + 0.280609I
2.30178 − 0.05398I 5.52630 − 2.50446I
u = 0.456208 − 0.530857I
a = 1.69701 − 0.12649I
b = 0.452926 − 0.280609I
2.30178 + 0.05398I 5.52630 + 2.50446I
u = 0.969289 + 0.894952I
a = 0.707471 + 0.556944I
b = 0.250334 + 1.020810I
1.00721 + 1.59954I 0
u = 0.969289 − 0.894952I
a = 0.707471 − 0.556944I
b = 0.250334 − 1.020810I
1.00721 − 1.59954I 0
u = 0.499313 + 1.221980I
a = −0.429805 − 0.829644I
b = 0.26451 − 1.93344I
−7.72780 + 6.66125I 0
u = 0.499313 − 1.221980I
a = −0.429805 + 0.829644I
b = 0.26451 + 1.93344I
−7.72780 − 6.66125I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.027575 + 0.669982I
a = −0.182961 + 0.968425I
b = −0.391958 + 1.217040I
0.77901 + 2.40486I 0.57490 − 3.33955I
u = −0.027575 − 0.669982I
a = −0.182961 − 0.968425I
b = −0.391958 − 1.217040I
0.77901 − 2.40486I 0.57490 + 3.33955I
u = −1.239130 + 0.488019I
a = −1.355080 + 0.141292I
b = −0.632576 + 0.560633I
−4.27455 − 4.31705I 0
u = −1.239130 − 0.488019I
a = −1.355080 − 0.141292I
b = −0.632576 − 0.560633I
−4.27455 + 4.31705I 0
u = −0.760986 + 1.097480I
a = −0.375366 + 1.001730I
b = 0.10081 + 1.53130I
−0.61746 + 4.04978I 0
u = −0.760986 − 1.097480I
a = −0.375366 − 1.001730I
b = 0.10081 − 1.53130I
−0.61746 − 4.04978I 0
u = −0.533533 + 0.393622I
a = 0.242121 + 0.328400I
b = −1.24798 − 0.93252I
−2.78368 − 1.46397I −3.71074 + 3.08918I
u = −0.533533 − 0.393622I
a = 0.242121 − 0.328400I
b = −1.24798 + 0.93252I
−2.78368 + 1.46397I −3.71074 − 3.08918I
u = 0.047521 + 0.644878I
a = 0.02999 − 1.44271I
b = −0.44159 − 3.37755I
−2.35739 − 0.94653I −10.41057 − 1.05373I
u = 0.047521 − 0.644878I
a = 0.02999 + 1.44271I
b = −0.44159 + 3.37755I
−2.35739 + 0.94653I −10.41057 + 1.05373I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.589342 + 1.220770I
a = 0.441828 − 1.111100I
b = 0.33042 − 2.30091I
−6.77899 + 10.82090I 0
u = 0.589342 − 1.220770I
a = 0.441828 + 1.111100I
b = 0.33042 + 2.30091I
−6.77899 − 10.82090I 0
u = 0.678071 + 1.188740I
a = 0.287212 − 0.275191I
b = −0.548608 − 0.703604I
−1.67408 + 13.49120I 0
u = 0.678071 − 1.188740I
a = 0.287212 + 0.275191I
b = −0.548608 + 0.703604I
−1.67408 − 13.49120I 0
u = −0.699582 + 1.215180I
a = 0.08610 + 1.72627I
b = 0.21165 + 2.78383I
−3.4406 − 14.6175I 0
u = −0.699582 − 1.215180I
a = 0.08610 − 1.72627I
b = 0.21165 − 2.78383I
−3.4406 + 14.6175I 0
u = −0.06214 + 1.41839I
a = −0.04142 + 1.62093I
b = 0.19771 + 2.54304I
−7.96952 + 4.57151I 0
u = −0.06214 − 1.41839I
a = −0.04142 − 1.62093I
b = 0.19771 − 2.54304I
−7.96952 − 4.57151I 0
u = −0.447357 + 0.348451I
a = −3.07598 − 1.06452I
b = −4.41391 − 1.98540I
−1.48464 + 2.67615I −11.3832 + 12.0268I
u = −0.447357 − 0.348451I
a = −3.07598 + 1.06452I
b = −4.41391 + 1.98540I
−1.48464 − 2.67615I −11.3832 − 12.0268I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.36012 + 0.45602I
a = −1.64394 + 0.19759I
b = −0.945136 + 0.331901I
−2.10145 + 4.63629I 0
u = −1.36012 − 0.45602I
a = −1.64394 − 0.19759I
b = −0.945136 − 0.331901I
−2.10145 − 4.63629I 0
u = 0.60934 + 1.31602I
a = −0.06791 + 1.72556I
b = −0.13091 + 2.75752I
−8.6772 + 11.5041I 0
u = 0.60934 − 1.31602I
a = −0.06791 − 1.72556I
b = −0.13091 − 2.75752I
−8.6772 − 11.5041I 0
u = 0.69110 + 1.28047I
a = 0.21218 + 1.59372I
b = 0.02914 + 2.35233I
−2.30827 + 6.50477I 0
u = 0.69110 − 1.28047I
a = 0.21218 − 1.59372I
b = 0.02914 − 2.35233I
−2.30827 − 6.50477I 0
u = 0.76319 + 1.24643I
a = −0.08610 + 1.71523I
b = −0.22967 + 2.74243I
−5.8957 + 20.0114I 0
u = 0.76319 − 1.24643I
a = −0.08610 − 1.71523I
b = −0.22967 − 2.74243I
−5.8957 − 20.0114I 0
u = −0.76896 + 1.29555I
a = −0.21983 + 1.58861I
b = −0.02100 + 2.35025I
−4.86223 − 11.95560I 0
u = −0.76896 − 1.29555I
a = −0.21983 − 1.58861I
b = −0.02100 − 2.35025I
−4.86223 + 11.95560I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.07354 + 1.51167I
a = 0.05471 + 1.66304I
b = −0.11169 + 2.59038I
−11.8703 − 9.0599I 0
u = −0.07354 − 1.51167I
a = 0.05471 − 1.66304I
b = −0.11169 − 2.59038I
−11.8703 + 9.0599I 0
u = −0.269804 + 0.381004I
a = 1.65555 + 1.51632I
b = −0.276399 + 0.389888I
−1.85090 + 1.10618I −2.51777 − 1.83567I
u = −0.269804 − 0.381004I
a = 1.65555 − 1.51632I
b = −0.276399 − 0.389888I
−1.85090 − 1.10618I −2.51777 + 1.83567I
u = 0.17686 + 1.52587I
a = 0.09022 + 1.60853I
b = −0.14282 + 2.46294I
−11.67560 + 0.10597I 0
u = 0.17686 − 1.52587I
a = 0.09022 − 1.60853I
b = −0.14282 − 2.46294I
−11.67560 − 0.10597I 0
u = −0.63750 + 1.40717I
a = −0.22181 + 1.60499I
b = −0.02918 + 2.33512I
−7.63817 − 3.16727I 0
u = −0.63750 − 1.40717I
a = −0.22181 − 1.60499I
b = −0.02918 − 2.33512I
−7.63817 + 3.16727I 0
18
II. I
v
1
= ha, 1.00 × 10
6
v
11
+ 8.65 × 10
5
v
10
+ · · · + 7.08 × 10
5
b + 3.12 ×
10
6
, v
12
+ v
11
+ · · · + 3v + 1i
(i) Arc colorings
a
4
=
1
0
a
8
=
v
0
a
5
=
1
0
a
9
=
v
0
a
12
=
0
−1.41784v
11
− 1.22272v
10
+ ··· − 4.69694v − 4.40760
a
10
=
v
−1.74143v
11
− 1.34534v
10
+ ··· − 6.17617v − 5.57425
a
7
=
0.174683v
11
+ 0.0995347v
10
+ ··· + 0.446835v + 0.396087
2.02290v
11
+ 1.34063v
10
+ ··· + 7.63126v + 6.61613
a
1
=
0.0662595v
11
+ 0.0471520v
10
+ ··· − 0.275427v + 0.109031
−0.678951v
11
− 0.501804v
10
+ ··· − 2.40704v − 2.15346
a
11
=
−0.107567v
11
− 0.0858700v
10
+ ··· + 0.832485v − 0.195119
−1.41784v
11
− 1.22272v
10
+ ··· − 4.69694v − 4.40760
a
6
=
−0.0662595v
11
− 0.0471520v
10
+ ··· + 0.275427v − 0.109031
0.678951v
11
+ 0.501804v
10
+ ··· + 2.40704v + 2.15346
a
3
=
0.0701310v
11
− 0.0258346v
10
+ ··· − 0.00656462v + 1.24069
−0.678951v
11
− 0.501804v
10
+ ··· − 2.40704v − 1.15346
a
2
=
0.749082v
11
+ 0.475969v
10
+ ··· + 2.40047v + 2.39415
−0.678951v
11
− 0.501804v
10
+ ··· − 2.40704v − 1.15346
(ii) Obstruction class = 1
(iii) Cusp Shapes =
821
10257
v
11
+
8666
235911
v
10
+ ··· +
189289
10257
v +
16124
235911
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
5
(u
2
− u + 1)
6
c
2
(u
2
+ u + 1)
6
c
4
, c
8
u
12
c
6
, c
10
, c
11
(u
6
− u
5
− u
4
+ 2u
3
− u + 1)
2
c
7
, c
12
(u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1)
2
c
9
(u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
2
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
(y
2
+ y + 1)
6
c
4
, c
8
y
12
c
6
, c
9
, c
10
c
11
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
2
c
7
, c
12
(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
2
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −0.695888 + 0.967642I
a = 0
b = −0.242870 + 0.617226I
1.89061 + 2.95419I 6.39280 − 3.57892I
v = −0.695888 − 0.967642I
a = 0
b = −0.242870 − 0.617226I
1.89061 − 2.95419I 6.39280 + 3.57892I
v = 1.185950 + 0.118836I
a = 0
b = −0.413098 − 0.518944I
1.89061 − 1.10558I 3.63443 + 2.52768I
v = 1.185950 − 0.118836I
a = 0
b = −0.413098 + 0.518944I
1.89061 + 1.10558I 3.63443 − 2.52768I
v = −0.383184 + 0.075842I
a = 0
b = −2.36994 − 1.24035I
−1.89061 − 2.95419I −7.91752 + 1.81989I
v = −0.383184 − 0.075842I
a = 0
b = −2.36994 + 1.24035I
−1.89061 + 2.95419I −7.91752 − 1.81989I
v = 0.125911 + 0.369768I
a = 0
b = 0.11079 − 2.67260I
−1.89061 − 1.10558I 3.59610 + 6.57635I
v = 0.125911 − 0.369768I
a = 0
b = 0.11079 + 2.67260I
−1.89061 + 1.10558I 3.59610 − 6.57635I
v = 1.38214 + 1.64413I
a = 0
b = −0.122617 + 0.550125I
3.66314I 2.83009 − 6.37777I
v = 1.38214 − 1.64413I
a = 0
b = −0.122617 − 0.550125I
− 3.66314I 2.83009 + 6.37777I
22
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −2.11493 + 0.37491I
a = 0
b = 0.537731 − 0.168873I
7.72290I −2.53591 − 7.46338I
v = −2.11493 − 0.37491I
a = 0
b = 0.537731 + 0.168873I
− 7.72290I −2.53591 + 7.46338I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
6
)(u
138
+ 67u
137
+ ··· + 33u + 1)
c
2
((u
2
+ u + 1)
6
)(u
138
+ 7u
137
+ ··· + 9u + 1)
c
3
((u
2
− u + 1)
6
)(u
138
− 7u
137
+ ··· − 9.84723 × 10
7
u + 1.36577 × 10
7
)
c
4
, c
8
u
12
(u
138
− u
137
+ ··· + 20480u + 4096)
c
5
((u
2
− u + 1)
6
)(u
138
+ 7u
137
+ ··· + 9u + 1)
c
6
((u
6
− u
5
− u
4
+ 2u
3
− u + 1)
2
)(u
138
− 3u
137
+ ··· + 206471u + 14069)
c
7
(u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1)
2
· (u
138
− 9u
137
+ ··· + 30021u − 1831)
c
9
((u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
2
)(u
138
− 3u
137
+ ··· − 23u + 1)
c
10
((u
6
− u
5
− u
4
+ 2u
3
− u + 1)
2
)(u
138
+ 23u
137
+ ··· + 3u + 1)
c
11
((u
6
− u
5
− u
4
+ 2u
3
− u + 1)
2
)(u
138
− 3u
137
+ ··· − 23u + 1)
c
12
((u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1)
2
)(u
138
+ 9u
137
+ ··· + 3u + 1)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
6
)(y
138
+ 15y
137
+ ··· − 35y + 1)
c
2
, c
5
((y
2
+ y + 1)
6
)(y
138
+ 67y
137
+ ··· + 33y + 1)
c
3
(y
2
+ y + 1)
6
· (y
138
− 37y
137
+ ··· + 2159732187820305y + 186532031774929)
c
4
, c
8
y
12
(y
138
+ 65y
137
+ ··· + 5.03316 × 10
8
y + 1.67772 × 10
7
)
c
6
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
2
· (y
138
− 109y
137
+ ··· + 23684604833y + 197936761)
c
7
(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
2
· (y
138
− 137y
137
+ ··· − 472810103y + 3352561)
c
9
, c
11
((y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
2
)(y
138
− 89y
137
+ ··· − 23y + 1)
c
10
((y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
2
)(y
138
− 9y
137
+ ··· − 23y + 1)
c
12
((y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
2
)(y
138
+ 23y
137
+ ··· + 9y + 1)
25
