12a
1104
(K12a
1104
)
A knot diagram
1
Linearized knot diagam
4 7 11 10 1 9 3 12 5 2 8 6
Solving Sequence
1,5 6,10
4 2 11 3 9 7 12 8
c
5
c
4
c
1
c
10
c
3
c
9
c
6
c
12
c
8
c
2
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h3.05525 × 10
662
u
141
+ 5.78982 × 10
662
u
140
+ ··· + 3.78187 × 10
663
b + 1.21271 × 10
664
,
− 7.67090 × 10
664
u
141
− 2.82754 × 10
665
u
140
+ ··· + 3.89533 × 10
665
a + 4.28713 × 10
667
,
u
142
+ 2u
141
+ ··· + 4010u − 412i
I
u
2
= h7.97745 × 10
22
u
34
− 4.52888 × 10
22
u
33
+ ··· + 1.96845 × 10
23
b + 5.61550 × 10
23
,
− 2.95746 × 10
23
u
34
+ 7.02784 × 10
23
u
33
+ ··· + 1.37791 × 10
24
a + 1.72399 × 10
25
, u
35
− u
34
+ ··· − 35u + 7i
* 2 irreducible components of dim
C
= 0, with total 177 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
= h3.06 × 10
662
u
141
+ 5.79 × 10
662
u
140
+ · · · + 3.78 × 10
663
b + 1.21 ×
10
664
, −7.67 × 10
664
u
141
− 2.83 × 10
665
u
140
+ · · · + 3.90 × 10
665
a + 4.29 ×
10
667
, u
142
+ 2u
141
+ · · · + 4010u − 412i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
10
=
0.196926u
141
+ 0.725879u
140
+ ··· + 980.804u − 110.058
−0.0807868u
141
− 0.153094u
140
+ ··· + 67.5667u − 3.20663
a
4
=
0.270305u
141
+ 0.437638u
140
+ ··· − 472.743u + 39.6051
0.0201043u
141
+ 0.170811u
140
+ ··· + 490.447u − 49.5599
a
2
=
−0.948288u
141
− 2.06709u
140
+ ··· − 90.6345u + 42.4985
0.200573u
141
+ 0.194482u
140
+ ··· − 637.339u + 59.0464
a
11
=
−0.370759u
141
− 1.19107u
140
+ ··· − 1276.76u + 142.692
0.125993u
141
+ 0.216255u
140
+ ··· − 120.213u + 8.27814
a
3
=
−0.0807668u
141
+ 1.02275u
140
+ ··· + 3929.60u − 399.103
−0.385378u
141
− 0.719289u
140
+ ··· + 354.159u − 22.9459
a
9
=
0.277712u
141
+ 0.878973u
140
+ ··· + 913.237u − 106.852
−0.0807868u
141
− 0.153094u
140
+ ··· + 67.5667u − 3.20663
a
7
=
0.251669u
141
+ 1.79219u
140
+ ··· + 4201.27u − 438.189
−0.327363u
141
− 0.543234u
140
+ ··· + 549.269u − 46.6727
a
12
=
u
u
3
+ u
a
8
=
0.219032u
141
+ 0.875317u
140
+ ··· + 1330.79u − 147.900
−0.0612681u
141
− 0.127746u
140
+ ··· + 4.98676u + 2.59114
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0831535u
141
− 1.45840u
140
+ ··· − 5560.47u + 578.071
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
142
− 16u
141
+ ··· + 7169u − 211
c
2
, c
7
u
142
+ u
141
+ ··· − 341251u + 204397
c
3
u
142
+ 32u
140
+ ··· + 1208588206u − 60612292
c
4
, c
9
u
142
− 2u
141
+ ··· − 8812u − 1699
c
5
, c
12
u
142
+ 2u
141
+ ··· + 4010u − 412
c
6
u
142
+ 16u
141
+ ··· − 112963913u − 5370727
c
8
, c
11
u
142
− 4u
141
+ ··· − 354u + 3629
c
10
u
142
+ 5u
141
+ ··· − 3890u − 487
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
142
+ 10y
141
+ ··· + 948631y + 44521
c
2
, c
7
y
142
− 93y
141
+ ··· − 815359170921y + 41778133609
c
3
y
142
+ 64y
141
+ ··· − 23240511541676972y + 3673849941493264
c
4
, c
9
y
142
+ 92y
141
+ ··· + 27075016y + 2886601
c
5
, c
12
y
142
+ 108y
141
+ ··· − 1067644y + 169744
c
6
y
142
− 44y
141
+ ··· − 1340943864837187y + 28844708508529
c
8
, c
11
y
142
− 124y
141
+ ··· − 681165230y + 13169641
c
10
y
142
− 31y
141
+ ··· − 29207374y + 237169
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.984844 + 0.100509I
a = −0.07674 + 1.48482I
b = 0.235660 + 1.217130I
−2.98013 + 2.73323I 0
u = −0.984844 − 0.100509I
a = −0.07674 − 1.48482I
b = 0.235660 − 1.217130I
−2.98013 − 2.73323I 0
u = −0.837549 + 0.516655I
a = 0.304621 − 0.437831I
b = 0.396604 + 0.087733I
1.99869 + 3.00411I 0
u = −0.837549 − 0.516655I
a = 0.304621 + 0.437831I
b = 0.396604 − 0.087733I
1.99869 − 3.00411I 0
u = 0.159651 + 0.969202I
a = 0.915581 + 0.848278I
b = −0.87280 + 1.43805I
0.39178 − 3.45919I 0
u = 0.159651 − 0.969202I
a = 0.915581 − 0.848278I
b = −0.87280 − 1.43805I
0.39178 + 3.45919I 0
u = 0.020124 + 1.038610I
a = 0.80847 + 1.75248I
b = −0.27819 + 1.45207I
1.59131 − 2.90380I 0
u = 0.020124 − 1.038610I
a = 0.80847 − 1.75248I
b = −0.27819 − 1.45207I
1.59131 + 2.90380I 0
u = 0.125882 + 0.946218I
a = −2.49078 − 0.00646I
b = 0.005305 + 0.800647I
6.81084 − 7.72246I 0
u = 0.125882 − 0.946218I
a = −2.49078 + 0.00646I
b = 0.005305 − 0.800647I
6.81084 + 7.72246I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.402138 + 0.969068I
a = −1.52524 − 0.74812I
b = 0.041875 − 1.002700I
−2.82256 − 0.10966I 0
u = 0.402138 − 0.969068I
a = −1.52524 + 0.74812I
b = 0.041875 + 1.002700I
−2.82256 + 0.10966I 0
u = 1.027770 + 0.228022I
a = −0.50653 − 1.54130I
b = −0.285803 − 1.225280I
−5.10559 + 3.34538I 0
u = 1.027770 − 0.228022I
a = −0.50653 + 1.54130I
b = −0.285803 + 1.225280I
−5.10559 − 3.34538I 0
u = −0.353010 + 0.865129I
a = −1.007260 + 0.972687I
b = 0.97052 + 1.15419I
1.40884 + 5.10516I 0
u = −0.353010 − 0.865129I
a = −1.007260 − 0.972687I
b = 0.97052 − 1.15419I
1.40884 − 5.10516I 0
u = 0.491061 + 0.793014I
a = 0.751971 + 0.457743I
b = 0.288084 + 1.363560I
0.381433 + 1.036770I 0
u = 0.491061 − 0.793014I
a = 0.751971 − 0.457743I
b = 0.288084 − 1.363560I
0.381433 − 1.036770I 0
u = −1.059720 + 0.172686I
a = 0.45796 − 1.39635I
b = 0.392651 − 1.259040I
−2.54300 − 7.72600I 0
u = −1.059720 − 0.172686I
a = 0.45796 + 1.39635I
b = 0.392651 + 1.259040I
−2.54300 + 7.72600I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.736330 + 0.799939I
a = 0.61366 + 2.48024I
b = −0.101180 + 1.181560I
−0.73713 − 2.79109I 0
u = 0.736330 − 0.799939I
a = 0.61366 − 2.48024I
b = −0.101180 − 1.181560I
−0.73713 + 2.79109I 0
u = 0.500442 + 0.979743I
a = 0.885614 + 1.054560I
b = −0.721025 + 0.688788I
3.36940 − 4.37250I 0
u = 0.500442 − 0.979743I
a = 0.885614 − 1.054560I
b = −0.721025 − 0.688788I
3.36940 + 4.37250I 0
u = 1.022420 + 0.407245I
a = −0.088640 − 0.742762I
b = −0.355072 − 0.312958I
6.81363 + 3.28356I 0
u = 1.022420 − 0.407245I
a = −0.088640 + 0.742762I
b = −0.355072 + 0.312958I
6.81363 − 3.28356I 0
u = 0.012099 + 1.100730I
a = −2.03119 + 1.18051I
b = 0.438524 + 1.095800I
7.67363 + 7.16298I 0
u = 0.012099 − 1.100730I
a = −2.03119 − 1.18051I
b = 0.438524 − 1.095800I
7.67363 − 7.16298I 0
u = −0.030761 + 1.114620I
a = −0.102542 + 0.237721I
b = 0.528914 + 0.804634I
1.43451 + 2.04369I 0
u = −0.030761 − 1.114620I
a = −0.102542 − 0.237721I
b = 0.528914 − 0.804634I
1.43451 − 2.04369I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.589533 + 0.655355I
a = −0.720172 + 0.493276I
b = −0.484815 + 1.284090I
0.92179 − 1.20069I 0
u = −0.589533 − 0.655355I
a = −0.720172 − 0.493276I
b = −0.484815 − 1.284090I
0.92179 + 1.20069I 0
u = 0.201197 + 1.100460I
a = 0.165503 + 0.117893I
b = −1.56098 − 0.16282I
4.68480 − 6.08536I 0
u = 0.201197 − 1.100460I
a = 0.165503 − 0.117893I
b = −1.56098 + 0.16282I
4.68480 + 6.08536I 0
u = 0.051461 + 1.119110I
a = 0.662635 − 0.747892I
b = −0.683630 − 1.158830I
4.29429 − 0.88376I 0
u = 0.051461 − 1.119110I
a = 0.662635 + 0.747892I
b = −0.683630 + 1.158830I
4.29429 + 0.88376I 0
u = −0.351825 + 1.069190I
a = 0.159352 + 0.204363I
b = −0.063648 + 0.484219I
1.12198 + 2.22225I 0
u = −0.351825 − 1.069190I
a = 0.159352 − 0.204363I
b = −0.063648 − 0.484219I
1.12198 − 2.22225I 0
u = −0.033328 + 0.869696I
a = 1.216540 − 0.619281I
b = 0.074886 + 0.926726I
1.00387 + 2.75697I 0
u = −0.033328 − 0.869696I
a = 1.216540 + 0.619281I
b = 0.074886 − 0.926726I
1.00387 − 2.75697I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.063929 + 1.128370I
a = −0.325405 − 0.507623I
b = 1.15997 − 1.64226I
7.03090 + 4.88414I 0
u = −0.063929 − 1.128370I
a = −0.325405 + 0.507623I
b = 1.15997 + 1.64226I
7.03090 − 4.88414I 0
u = −0.132830 + 1.141590I
a = −0.202494 + 0.193407I
b = 1.212940 + 0.135295I
2.50026 + 2.59648I 0
u = −0.132830 − 1.141590I
a = −0.202494 − 0.193407I
b = 1.212940 − 0.135295I
2.50026 − 2.59648I 0
u = 0.012626 + 1.150960I
a = −0.73883 − 1.68597I
b = 0.246263 − 1.003090I
8.02783 − 1.44802I 0
u = 0.012626 − 1.150960I
a = −0.73883 + 1.68597I
b = 0.246263 + 1.003090I
8.02783 + 1.44802I 0
u = 0.811479 + 0.101720I
a = 0.19077 + 1.84647I
b = −0.433648 + 1.295380I
−1.85895 − 4.89496I 0
u = 0.811479 − 0.101720I
a = 0.19077 − 1.84647I
b = −0.433648 − 1.295380I
−1.85895 + 4.89496I 0
u = −0.333376 + 1.150990I
a = 1.27863 − 1.42598I
b = −0.468521 − 1.170770I
3.92046 + 6.46301I 0
u = −0.333376 − 1.150990I
a = 1.27863 + 1.42598I
b = −0.468521 + 1.170770I
3.92046 − 6.46301I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.147710 + 1.190750I
a = 0.473182 − 0.072572I
b = −1.260080 − 0.431344I
4.50046 − 1.69205I 0
u = 0.147710 − 1.190750I
a = 0.473182 + 0.072572I
b = −1.260080 + 0.431344I
4.50046 + 1.69205I 0
u = 0.729099 + 0.322322I
a = −0.488169 − 0.632094I
b = −0.709581 + 0.150857I
6.55918 − 8.88010I 0
u = 0.729099 − 0.322322I
a = −0.488169 + 0.632094I
b = −0.709581 − 0.150857I
6.55918 + 8.88010I 0
u = −0.250296 + 1.177440I
a = −0.646113 + 0.370855I
b = 1.019400 − 0.326461I
5.75375 + 3.24573I 0
u = −0.250296 − 1.177440I
a = −0.646113 − 0.370855I
b = 1.019400 + 0.326461I
5.75375 − 3.24573I 0
u = 0.547801 + 1.077520I
a = 0.256223 + 1.372200I
b = −0.234284 + 0.867860I
3.24949 + 0.44742I 0
u = 0.547801 − 1.077520I
a = 0.256223 − 1.372200I
b = −0.234284 − 0.867860I
3.24949 − 0.44742I 0
u = −0.506869 + 1.114920I
a = −0.635883 + 1.006870I
b = 0.396242 + 1.050570I
0.11668 + 2.80990I 0
u = −0.506869 − 1.114920I
a = −0.635883 − 1.006870I
b = 0.396242 − 1.050570I
0.11668 − 2.80990I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.094898 + 1.232560I
a = −0.009661 − 0.919156I
b = 0.12425 − 1.77302I
6.64012 − 2.25510I 0
u = −0.094898 − 1.232560I
a = −0.009661 + 0.919156I
b = 0.12425 + 1.77302I
6.64012 + 2.25510I 0
u = −0.335351 + 1.193370I
a = 1.226050 − 0.219938I
b = −0.220502 − 1.042280I
−0.02084 + 5.39245I 0
u = −0.335351 − 1.193370I
a = 1.226050 + 0.219938I
b = −0.220502 + 1.042280I
−0.02084 − 5.39245I 0
u = −0.747572 + 0.128671I
a = −0.49664 + 1.50193I
b = −0.101558 + 1.328870I
−3.94786 + 1.80337I 0
u = −0.747572 − 0.128671I
a = −0.49664 − 1.50193I
b = −0.101558 − 1.328870I
−3.94786 − 1.80337I 0
u = −0.405635 + 1.175390I
a = −0.752858 + 0.787150I
b = 0.54417 + 1.36541I
−0.78315 + 2.47950I 0
u = −0.405635 − 1.175390I
a = −0.752858 − 0.787150I
b = 0.54417 − 1.36541I
−0.78315 − 2.47950I 0
u = 0.284070 + 1.218590I
a = 0.832136 + 0.706336I
b = −0.73081 + 1.40728I
−0.75549 − 6.15893I 0
u = 0.284070 − 1.218590I
a = 0.832136 − 0.706336I
b = −0.73081 − 1.40728I
−0.75549 + 6.15893I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.133985 + 1.279170I
a = 0.293297 + 0.419844I
b = −0.760921 − 0.343237I
6.55785 − 1.81776I 0
u = 0.133985 − 1.279170I
a = 0.293297 − 0.419844I
b = −0.760921 + 0.343237I
6.55785 + 1.81776I 0
u = −0.392859 + 1.232280I
a = −1.92821 + 0.60627I
b = 0.153617 + 1.076700I
5.53811 + 8.66077I 0
u = −0.392859 − 1.232280I
a = −1.92821 − 0.60627I
b = 0.153617 − 1.076700I
5.53811 − 8.66077I 0
u = −1.289180 + 0.141154I
a = −0.11935 − 1.53693I
b = −0.399278 − 1.265740I
2.41747 + 12.94450I 0
u = −1.289180 − 0.141154I
a = −0.11935 + 1.53693I
b = −0.399278 + 1.265740I
2.41747 − 12.94450I 0
u = −0.677472 + 0.158627I
a = 1.17293 + 2.48956I
b = −0.050436 + 1.273870I
2.24466 − 4.58437I 0
u = −0.677472 − 0.158627I
a = 1.17293 − 2.48956I
b = −0.050436 − 1.273870I
2.24466 + 4.58437I 0
u = 0.334793 + 0.602200I
a = −0.25524 − 2.60301I
b = 0.161516 − 1.330680I
−4.17471 − 3.49050I 0
u = 0.334793 − 0.602200I
a = −0.25524 + 2.60301I
b = 0.161516 + 1.330680I
−4.17471 + 3.49050I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.514928 + 1.215670I
a = −0.81771 − 1.20409I
b = 0.56891 − 1.36953I
−1.97519 − 8.74758I 0
u = 0.514928 − 1.215670I
a = −0.81771 + 1.20409I
b = 0.56891 + 1.36953I
−1.97519 + 8.74758I 0
u = −0.641631
a = −0.361749
b = −0.945080
2.24523 0
u = −0.103611 + 0.633089I
a = 2.46896 − 1.13103I
b = 0.084713 − 0.668236I
1.71380 − 3.81572I 0
u = −0.103611 − 0.633089I
a = 2.46896 + 1.13103I
b = 0.084713 + 0.668236I
1.71380 + 3.81572I 0
u = −0.550434 + 1.249550I
a = 0.782017 − 1.116340I
b = −0.67922 − 1.37384I
0.83467 + 13.38690I 0
u = −0.550434 − 1.249550I
a = 0.782017 + 1.116340I
b = −0.67922 + 1.37384I
0.83467 − 13.38690I 0
u = −1.304080 + 0.433114I
a = −0.28455 + 1.44750I
b = −0.265086 + 0.897059I
5.56027 + 0.43931I 0
u = −1.304080 − 0.433114I
a = −0.28455 − 1.44750I
b = −0.265086 − 0.897059I
5.56027 − 0.43931I 0
u = −0.106693 + 1.374270I
a = −0.643023 − 0.662664I
b = 0.635651 + 0.497658I
9.58969 − 2.92096I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.106693 − 1.374270I
a = −0.643023 + 0.662664I
b = 0.635651 − 0.497658I
9.58969 + 2.92096I 0
u = 0.344834 + 1.354110I
a = −0.151878 − 0.194817I
b = 1.277670 + 0.012876I
11.6455 − 12.7871I 0
u = 0.344834 − 1.354110I
a = −0.151878 + 0.194817I
b = 1.277670 − 0.012876I
11.6455 + 12.7871I 0
u = 0.186444 + 1.387060I
a = 0.263370 − 0.425934I
b = −0.811606 − 0.090491I
6.65306 − 1.33256I 0
u = 0.186444 − 1.387060I
a = 0.263370 + 0.425934I
b = −0.811606 + 0.090491I
6.65306 + 1.33256I 0
u = 0.517473 + 0.289663I
a = 0.328404 + 0.316082I
b = 0.613567 + 0.454916I
1.84402 + 0.39595I 0
u = 0.517473 − 0.289663I
a = 0.328404 − 0.316082I
b = 0.613567 − 0.454916I
1.84402 − 0.39595I 0
u = −0.358800 + 1.361140I
a = −0.004523 − 0.281606I
b = 0.906616 − 0.581144I
11.43760 + 4.96030I 0
u = −0.358800 − 1.361140I
a = −0.004523 + 0.281606I
b = 0.906616 + 0.581144I
11.43760 − 4.96030I 0
u = 0.388467 + 1.356040I
a = −1.145520 − 0.799830I
b = 0.62638 − 1.27303I
2.72873 − 9.28905I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.388467 − 1.356040I
a = −1.145520 + 0.799830I
b = 0.62638 + 1.27303I
2.72873 + 9.28905I 0
u = 0.68750 + 1.23897I
a = 0.89157 + 1.10859I
b = −0.130371 + 0.989025I
−0.03567 − 3.59247I 0
u = 0.68750 − 1.23897I
a = 0.89157 − 1.10859I
b = −0.130371 − 0.989025I
−0.03567 + 3.59247I 0
u = −0.33148 + 1.38849I
a = 0.158467 − 0.142914I
b = −1.087720 − 0.069023I
7.75860 + 6.98523I 0
u = −0.33148 − 1.38849I
a = 0.158467 + 0.142914I
b = −1.087720 + 0.069023I
7.75860 − 6.98523I 0
u = −0.44676 + 1.36923I
a = 0.892811 − 0.809524I
b = −0.582048 − 1.249040I
1.63254 + 7.81762I 0
u = −0.44676 − 1.36923I
a = 0.892811 + 0.809524I
b = −0.582048 + 1.249040I
1.63254 − 7.81762I 0
u = 0.36967 + 1.42138I
a = −0.0855022 − 0.0978237I
b = 0.875379 + 0.154922I
12.50620 − 1.51785I 0
u = 0.36967 − 1.42138I
a = −0.0855022 + 0.0978237I
b = 0.875379 − 0.154922I
12.50620 + 1.51785I 0
u = 1.48953 + 0.13554I
a = 0.09125 − 1.48968I
b = 0.291444 − 1.199000I
−1.66969 − 5.80703I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.48953 − 0.13554I
a = 0.09125 + 1.48968I
b = 0.291444 + 1.199000I
−1.66969 + 5.80703I 0
u = −0.62797 + 1.37357I
a = −0.76187 + 1.36914I
b = 0.478511 + 1.229570I
9.17359 + 6.42464I 0
u = −0.62797 − 1.37357I
a = −0.76187 − 1.36914I
b = 0.478511 − 1.229570I
9.17359 − 6.42464I 0
u = −0.443466 + 0.188737I
a = −1.192050 + 0.303565I
b = −0.330551 − 0.125545I
−1.191510 + 0.760536I −5.26336 − 2.38499I
u = −0.443466 − 0.188737I
a = −1.192050 − 0.303565I
b = −0.330551 + 0.125545I
−1.191510 − 0.760536I −5.26336 + 2.38499I
u = −0.00697 + 1.52277I
a = −0.037499 + 0.479149I
b = 0.084259 − 0.912025I
8.67892 + 0.18226I 0
u = −0.00697 − 1.52277I
a = −0.037499 − 0.479149I
b = 0.084259 + 0.912025I
8.67892 − 0.18226I 0
u = −0.55866 + 1.44383I
a = −0.788195 + 1.154960I
b = 0.61168 + 1.39005I
7.3614 + 19.3128I 0
u = −0.55866 − 1.44383I
a = −0.788195 − 1.154960I
b = 0.61168 − 1.39005I
7.3614 − 19.3128I 0
u = −0.200992 + 0.401172I
a = −0.35896 + 3.43618I
b = −0.156506 − 0.133180I
5.66097 + 1.68737I 18.2618 − 1.1985I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.200992 − 0.401172I
a = −0.35896 − 3.43618I
b = −0.156506 + 0.133180I
5.66097 − 1.68737I 18.2618 + 1.1985I
u = 0.66273 + 1.40807I
a = −0.530863 − 1.084730I
b = 0.580960 − 1.002670I
10.0335 − 10.3736I 0
u = 0.66273 − 1.40807I
a = −0.530863 + 1.084730I
b = 0.580960 + 1.002670I
10.0335 + 10.3736I 0
u = 0.59268 + 1.45545I
a = 0.719133 + 1.214650I
b = −0.53099 + 1.37327I
3.29050 − 12.70550I 0
u = 0.59268 − 1.45545I
a = 0.719133 − 1.214650I
b = −0.53099 − 1.37327I
3.29050 + 12.70550I 0
u = 0.364717 + 0.025316I
a = 1.23800 + 1.94911I
b = 0.27854 + 1.39096I
−4.34812 + 3.24989I −5.16777 + 3.87805I
u = 0.364717 − 0.025316I
a = 1.23800 − 1.94911I
b = 0.27854 − 1.39096I
−4.34812 − 3.24989I −5.16777 − 3.87805I
u = 0.295828
a = −0.827747
b = 0.647281
1.14742 11.6190
u = 0.249822 + 0.146853I
a = 2.48981 + 2.32953I
b = 0.536771 − 0.291443I
1.68257 − 4.00533I 3.00781 + 6.18849I
u = 0.249822 − 0.146853I
a = 2.48981 − 2.32953I
b = 0.536771 + 0.291443I
1.68257 + 4.00533I 3.00781 − 6.18849I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.179969 + 0.217965I
a = 2.51539 + 0.76918I
b = −0.730789 − 0.967824I
4.57359 − 4.01799I 2.28736 + 5.82459I
u = −0.179969 − 0.217965I
a = 2.51539 − 0.76918I
b = −0.730789 + 0.967824I
4.57359 + 4.01799I 2.28736 − 5.82459I
u = −0.29797 + 1.70683I
a = −0.209240 + 0.376185I
b = −0.120083 + 0.901410I
3.47048 − 2.14821I 0
u = −0.29797 − 1.70683I
a = −0.209240 − 0.376185I
b = −0.120083 − 0.901410I
3.47048 + 2.14821I 0
u = 0.169934 + 0.152610I
a = −2.20838 + 2.06064I
b = 0.574287 − 0.468688I
1.65722 + 0.07579I 4.83433 − 0.29358I
u = 0.169934 − 0.152610I
a = −2.20838 − 2.06064I
b = 0.574287 + 0.468688I
1.65722 − 0.07579I 4.83433 + 0.29358I
u = −0.72166 + 1.69225I
a = 0.295503 − 0.943276I
b = −0.346044 − 1.077040I
3.64657 + 5.25830I 0
u = −0.72166 − 1.69225I
a = 0.295503 + 0.943276I
b = −0.346044 + 1.077040I
3.64657 − 5.25830I 0
u = 1.41550 + 1.23128I
a = −0.076867 − 1.117070I
b = 0.137078 − 0.817760I
7.13646 + 2.82992I 0
u = 1.41550 − 1.23128I
a = −0.076867 + 1.117070I
b = 0.137078 + 0.817760I
7.13646 − 2.82992I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.82313 + 2.18930I
a = 0.156971 − 0.793753I
b = 0.142860 − 0.918097I
6.91337 − 4.46850I 0
u = −0.82313 − 2.18930I
a = 0.156971 + 0.793753I
b = 0.142860 + 0.918097I
6.91337 + 4.46850I 0
19
II.
I
u
2
= h7.98×10
22
u
34
−4.53×10
22
u
33
+· · ·+1.97×10
23
b+5.62×10
23
, −2.96×
10
23
u
34
+7.03×10
23
u
33
+· · ·+1.38×10
24
a+1.72×10
25
, u
35
−u
34
+· · ·−35u+7i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
10
=
0.214633u
34
− 0.510034u
33
+ ··· + 54.6069u − 12.5116
−0.405266u
34
+ 0.230073u
33
+ ··· + 6.42526u − 2.85275
a
4
=
−1.44409u
34
+ 1.08190u
33
+ ··· − 34.2427u + 1.90057
−0.00929943u
34
− 0.0148557u
33
+ ··· − 27.8888u + 4.99649
a
2
=
−0.890760u
34
+ 0.771065u
33
+ ··· − 64.3794u + 12.3952
−1.90899u
34
+ 2.16048u
33
+ ··· − 96.3084u + 19.4387
a
11
=
−0.0428879u
34
+ 0.793510u
33
+ ··· − 25.2091u + 6.74777
0.873550u
34
− 0.776579u
33
+ ··· + 41.0051u − 6.36055
a
3
=
−1.28128u
34
+ 0.621662u
33
+ ··· − 33.2113u + 2.86946
−2.40609u
34
+ 1.85588u
33
+ ··· − 70.4438u + 10.7801
a
9
=
0.619899u
34
− 0.740108u
33
+ ··· + 48.1816u − 9.65882
−0.405266u
34
+ 0.230073u
33
+ ··· + 6.42526u − 2.85275
a
7
=
0.305470u
34
− 0.0100116u
33
+ ··· − 6.68126u + 6.05326
0.934966u
34
− 0.823149u
33
+ ··· + 26.1011u − 2.63025
a
12
=
u
u
3
+ u
a
8
=
0.180421u
34
− 0.315828u
33
+ ··· + 39.0230u − 8.83947
−0.393101u
34
+ 0.374889u
33
+ ··· − 0.188959u − 1.92701
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1952844554794154459368483
196844892087677185592869
u
34
−
606561782982631544839845
196844892087677185592869
u
33
+ ··· +
27690213261626726064301489
196844892087677185592869
u +
556479120143047143886298
196844892087677185592869
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
35
− 3u
34
+ ··· − 5u − 1
c
2
u
35
− 10u
33
+ ··· + 3u + 1
c
3
u
35
− u
34
+ ··· − 26u + 11
c
4
u
35
− u
34
+ ··· − 2u + 1
c
5
u
35
− u
34
+ ··· − 35u + 7
c
6
u
35
+ 3u
34
+ ··· + 53u + 13
c
7
u
35
− 10u
33
+ ··· + 3u − 1
c
8
u
35
− u
34
+ ··· − 60u + 11
c
9
u
35
+ u
34
+ ··· − 2u − 1
c
10
u
35
+ 2u
34
+ ··· − 10u − 1
c
11
u
35
+ u
34
+ ··· − 60u − 11
c
12
u
35
+ u
34
+ ··· − 35u − 7
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
35
+ 3y
34
+ ··· + 11y −1
c
2
, c
7
y
35
− 20y
34
+ ··· + 23y −1
c
3
y
35
+ 9y
34
+ ··· − 952y −121
c
4
, c
9
y
35
+ 25y
34
+ ··· − 62y −1
c
5
, c
12
y
35
+ 33y
34
+ ··· − 357y −49
c
6
y
35
− 11y
34
+ ··· + 3173y −169
c
8
, c
11
y
35
− 31y
34
+ ··· + 3864y −121
c
10
y
35
− 18y
34
+ ··· + 28y −1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.525564 + 0.856023I
a = 0.001829 + 0.494315I
b = 0.148314 − 0.354432I
1.85383 + 2.12825I 9.36385 + 0.94525I
u = −0.525564 − 0.856023I
a = 0.001829 − 0.494315I
b = 0.148314 + 0.354432I
1.85383 − 2.12825I 9.36385 − 0.94525I
u = −0.298185 + 0.919391I
a = −1.46683 + 0.90162I
b = 0.710017 + 0.844557I
2.44449 + 5.07111I 6.65479 − 8.60689I
u = −0.298185 − 0.919391I
a = −1.46683 − 0.90162I
b = 0.710017 − 0.844557I
2.44449 − 5.07111I 6.65479 + 8.60689I
u = 0.241793 + 1.023220I
a = 0.803155 + 0.733323I
b = −0.97677 + 1.40060I
0.52809 − 4.02175I 3.53303 + 10.25911I
u = 0.241793 − 1.023220I
a = 0.803155 − 0.733323I
b = −0.97677 − 1.40060I
0.52809 + 4.02175I 3.53303 − 10.25911I
u = 0.928167 + 0.139538I
a = −0.03800 + 1.72176I
b = −0.318833 + 1.247760I
−3.57891 − 4.03578I −0.81514 + 5.36124I
u = 0.928167 − 0.139538I
a = −0.03800 − 1.72176I
b = −0.318833 − 1.247760I
−3.57891 + 4.03578I −0.81514 − 5.36124I
u = 0.113866 + 1.097210I
a = 0.593361 − 0.035545I
b = −1.06761 − 1.15613I
6.47387 − 5.00694I 4.42158 + 7.38604I
u = 0.113866 − 1.097210I
a = 0.593361 + 0.035545I
b = −1.06761 + 1.15613I
6.47387 + 5.00694I 4.42158 − 7.38604I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.634372 + 0.556194I
a = 0.03840 − 3.14837I
b = 0.137008 − 1.204220I
−0.78009 − 3.40967I −1.18196 + 9.14556I
u = 0.634372 − 0.556194I
a = 0.03840 + 3.14837I
b = 0.137008 + 1.204220I
−0.78009 + 3.40967I −1.18196 − 9.14556I
u = −0.412259 + 1.119720I
a = 2.02663 − 1.36095I
b = −0.337874 − 1.012900I
6.63639 + 9.28402I 7.30678 − 10.51721I
u = −0.412259 − 1.119720I
a = 2.02663 + 1.36095I
b = −0.337874 + 1.012900I
6.63639 − 9.28402I 7.30678 + 10.51721I
u = 0.309710 + 0.729547I
a = 0.546449 + 0.185863I
b = 0.46540 + 1.48328I
−0.33909 + 1.60156I −4.37363 − 3.03711I
u = 0.309710 − 0.729547I
a = 0.546449 − 0.185863I
b = 0.46540 − 1.48328I
−0.33909 − 1.60156I −4.37363 + 3.03711I
u = −0.147290 + 1.202160I
a = −0.464148 + 0.154674I
b = 1.325960 − 0.328296I
4.17836 + 2.09624I 2.00000 − 6.55804I
u = −0.147290 − 1.202160I
a = −0.464148 − 0.154674I
b = 1.325960 + 0.328296I
4.17836 − 2.09624I 2.00000 + 6.55804I
u = 0.408729 + 1.179840I
a = 0.053958 − 0.854988I
b = 0.227713 − 1.241180I
5.81989 + 3.12039I 5.43754 − 3.13179I
u = 0.408729 − 1.179840I
a = 0.053958 + 0.854988I
b = 0.227713 + 1.241180I
5.81989 − 3.12039I 5.43754 + 3.13179I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.242137 + 0.559471I
a = 0.32497 + 2.35763I
b = −0.186916 + 1.382660I
−3.93529 − 3.41654I 16.4332 + 2.6127I
u = 0.242137 − 0.559471I
a = 0.32497 − 2.35763I
b = −0.186916 − 1.382660I
−3.93529 + 3.41654I 16.4332 − 2.6127I
u = 0.03946 + 1.41541I
a = 0.264091 − 0.936568I
b = −0.004876 + 0.240045I
9.85400 + 0.53294I 0
u = 0.03946 − 1.41541I
a = 0.264091 + 0.936568I
b = −0.004876 − 0.240045I
9.85400 − 0.53294I 0
u = 0.40422 + 1.35875I
a = −0.963330 − 0.839069I
b = 0.63470 − 1.29749I
1.04545 − 8.69458I 0
u = 0.40422 − 1.35875I
a = −0.963330 + 0.839069I
b = 0.63470 + 1.29749I
1.04545 + 8.69458I 0
u = 0.508430 + 0.249685I
a = −1.13047 + 2.70167I
b = −0.058693 + 0.605539I
5.19042 − 1.80323I 1.46202 + 4.24216I
u = 0.508430 − 0.249685I
a = −1.13047 − 2.70167I
b = −0.058693 − 0.605539I
5.19042 + 1.80323I 1.46202 − 4.24216I
u = −0.53140 + 1.37719I
a = −0.552731 + 0.796947I
b = 0.341353 + 0.949144I
1.14872 + 4.02412I 0
u = −0.53140 − 1.37719I
a = −0.552731 − 0.796947I
b = 0.341353 − 0.949144I
1.14872 − 4.02412I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.36231 + 1.50915I
a = −0.368929 + 0.586955I
b = −0.157351 + 0.748585I
4.03075 − 1.93188I 0
u = −0.36231 − 1.50915I
a = −0.368929 − 0.586955I
b = −0.157351 − 0.748585I
4.03075 + 1.93188I 0
u = −0.442832
a = −0.319838
b = −0.876307
0.646378 −7.06580
u = −0.83247 + 1.77814I
a = 0.491518 − 0.802689I
b = 0.056609 − 0.922754I
6.80903 − 3.93509I 0
u = −0.83247 − 1.77814I
a = 0.491518 + 0.802689I
b = 0.056609 + 0.922754I
6.80903 + 3.93509I 0
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
35
− 3u
34
+ ··· − 5u − 1)(u
142
− 16u
141
+ ··· + 7169u − 211)
c
2
(u
35
− 10u
33
+ ··· + 3u + 1)(u
142
+ u
141
+ ··· − 341251u + 204397)
c
3
(u
35
− u
34
+ ··· − 26u + 11)
· (u
142
+ 32u
140
+ ··· + 1208588206u − 60612292)
c
4
(u
35
− u
34
+ ··· − 2u + 1)(u
142
− 2u
141
+ ··· − 8812u − 1699)
c
5
(u
35
− u
34
+ ··· − 35u + 7)(u
142
+ 2u
141
+ ··· + 4010u − 412)
c
6
(u
35
+ 3u
34
+ ··· + 53u + 13)
· (u
142
+ 16u
141
+ ··· − 112963913u − 5370727)
c
7
(u
35
− 10u
33
+ ··· + 3u − 1)(u
142
+ u
141
+ ··· − 341251u + 204397)
c
8
(u
35
− u
34
+ ··· − 60u + 11)(u
142
− 4u
141
+ ··· − 354u + 3629)
c
9
(u
35
+ u
34
+ ··· − 2u − 1)(u
142
− 2u
141
+ ··· − 8812u − 1699)
c
10
(u
35
+ 2u
34
+ ··· − 10u − 1)(u
142
+ 5u
141
+ ··· − 3890u − 487)
c
11
(u
35
+ u
34
+ ··· − 60u − 11)(u
142
− 4u
141
+ ··· − 354u + 3629)
c
12
(u
35
+ u
34
+ ··· − 35u − 7)(u
142
+ 2u
141
+ ··· + 4010u − 412)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
35
+ 3y
34
+ ··· + 11y −1)(y
142
+ 10y
141
+ ··· + 948631y + 44521)
c
2
, c
7
(y
35
− 20y
34
+ ··· + 23y −1)
· (y
142
− 93y
141
+ ··· − 815359170921y + 41778133609)
c
3
(y
35
+ 9y
34
+ ··· − 952y −121)
· (y
142
+ 64y
141
+ ··· − 23240511541676972y + 3673849941493264)
c
4
, c
9
(y
35
+ 25y
34
+ ··· − 62y −1)
· (y
142
+ 92y
141
+ ··· + 27075016y + 2886601)
c
5
, c
12
(y
35
+ 33y
34
+ ··· − 357y −49)
· (y
142
+ 108y
141
+ ··· − 1067644y + 169744)
c
6
(y
35
− 11y
34
+ ··· + 3173y −169)
· (y
142
− 44y
141
+ ··· − 1340943864837187y + 28844708508529)
c
8
, c
11
(y
35
− 31y
34
+ ··· + 3864y −121)
· (y
142
− 124y
141
+ ··· − 681165230y + 13169641)
c
10
(y
35
− 18y
34
+ ··· + 28y −1)
· (y
142
− 31y
141
+ ··· − 29207374y + 237169)
30
