12n
0736
(K12n
0736
)
A knot diagram
1
Linearized knot diagam
4 6 7 1 12 9 12 3 2 5 7 10
Solving Sequence
1,4
2
5,10
9 12 6 7 3 8 11
c
1
c
4
c
9
c
12
c
5
c
6
c
3
c
8
c
11
c
2
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h6.85974 × 10
510
u
118
− 3.36065 × 10
511
u
117
+ ··· + 8.39335 × 10
511
b − 2.36017 × 10
513
,
− 8.34995 × 10
512
u
118
− 7.74279 × 10
513
u
117
+ ··· + 1.02315 × 10
515
a + 2.17745 × 10
517
,
u
119
− 5u
118
+ ··· + 33731u − 1219i
I
u
2
= h−5.01803 × 10
47
u
43
+ 5.12787 × 10
48
u
42
+ ··· + 8.93849 × 10
46
b + 4.54183 × 10
46
,
4.44342 × 10
47
u
43
− 4.47435 × 10
48
u
42
+ ··· + 8.93849 × 10
46
a − 1.52859 × 10
48
, u
44
− 10u
43
+ ··· − 19u + 1i
* 2 irreducible components of dim
C
= 0, with total 163 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
= h6.86 × 10
510
u
118
− 3.36 × 10
511
u
117
+ · · · + 8.39 × 10
511
b − 2.36 ×
10
513
, −8.35 × 10
512
u
118
− 7.74 × 10
513
u
117
+ · · · + 1.02 × 10
515
a + 2.18 ×
10
517
, u
119
− 5u
118
+ · · · + 33731u − 1219i
(i) Arc colorings
a
1
=
1
0
a
4
=
0
u
a
2
=
1
u
2
a
5
=
−u
u
a
10
=
0.00816103u
118
+ 0.0756760u
117
+ ··· + 5478.41u − 212.818
−0.0817283u
118
+ 0.400395u
117
+ ··· − 616.990u + 28.1195
a
9
=
0.0879763u
118
− 0.404797u
117
+ ··· + 2176.32u − 98.9470
−0.138109u
118
+ 0.752524u
117
+ ··· + 2225.89u − 71.1027
a
12
=
−0.0959043u
118
+ 0.466145u
117
+ ··· − 953.729u + 29.7923
0.0946342u
118
− 0.487040u
117
+ ··· − 534.337u + 15.0636
a
6
=
0.103143u
118
− 0.603357u
117
+ ··· − 3937.06u + 141.473
−0.0286967u
118
+ 0.253557u
117
+ ··· + 4653.40u − 167.154
a
7
=
0.0414577u
118
− 0.290467u
117
+ ··· − 3968.39u + 147.548
0.0852643u
118
− 0.410546u
117
+ ··· + 662.359u − 30.1911
a
3
=
0.0419752u
118
− 0.130654u
117
+ ··· + 3960.26u − 143.179
−0.130629u
118
+ 0.664912u
117
+ ··· + 213.624u − 0.0470890
a
8
=
−0.0129848u
118
+ 0.210555u
117
+ ··· + 7096.23u − 266.439
−0.163462u
118
+ 0.770953u
117
+ ··· − 2622.80u + 104.586
a
11
=
0.0621343u
118
− 0.282625u
117
+ ··· + 1737.87u − 80.8801
−0.135702u
118
+ 0.758695u
117
+ ··· + 3123.55u − 103.818
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.171027u
118
+ 0.892492u
117
+ ··· + 742.503u − 13.0567
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
119
+ 5u
118
+ ··· + 33731u + 1219
c
2
u
119
− 8u
118
+ ··· − 4u − 1
c
3
u
119
− 14u
117
+ ··· + 152947565649u − 9784213871
c
5
u
119
+ 2u
118
+ ··· + 2467110921u − 1915307993
c
6
u
119
+ 4u
118
+ ··· + 6u − 1
c
7
, c
11
u
119
− 3u
118
+ ··· − 2145918u − 358027
c
8
u
119
− u
118
+ ··· − 2803281u − 360061
c
9
u
119
− 4u
118
+ ··· − 2405770u − 8033011
c
10
u
119
− u
118
+ ··· − 40925u − 4771
c
12
u
119
+ 7u
118
+ ··· − 26u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
119
+ 71y
118
+ ··· + 441068225y −1485961
c
2
y
119
+ 38y
118
+ ··· − 296y −1
c
3
y
119
− 28y
118
+ ··· + 4.07 × 10
21
y −9.57 × 10
19
c
5
y
119
+ 54y
118
+ ··· − 4.20 × 10
19
y −3.67 × 10
18
c
6
y
119
− 14y
118
+ ··· − 2y −1
c
7
, c
11
y
119
+ 87y
118
+ ··· − 6209933896494y −128183332729
c
8
y
119
− 37y
118
+ ··· + 387766004639y −129643923721
c
9
y
119
+ 48y
118
+ ··· − 3572692300957120y −64529265726121
c
10
y
119
+ 13y
118
+ ··· − 5029200903y −22762441
c
12
y
119
− 25y
118
+ ··· + 172y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.900710 + 0.447742I
a = 1.32134 + 0.75592I
b = −1.080900 + 0.694050I
−6.44500 − 4.63461I 0
u = 0.900710 − 0.447742I
a = 1.32134 − 0.75592I
b = −1.080900 − 0.694050I
−6.44500 + 4.63461I 0
u = −0.449046 + 0.880282I
a = 0.334901 − 0.759799I
b = −0.89030 + 1.41189I
−6.27923 + 2.06623I 0
u = −0.449046 − 0.880282I
a = 0.334901 + 0.759799I
b = −0.89030 − 1.41189I
−6.27923 − 2.06623I 0
u = −0.427914 + 0.885888I
a = −0.169526 − 1.068510I
b = 0.161027 − 1.059390I
−5.95151 − 4.58997I 0
u = −0.427914 − 0.885888I
a = −0.169526 + 1.068510I
b = 0.161027 + 1.059390I
−5.95151 + 4.58997I 0
u = 0.316551 + 0.968693I
a = −1.88014 − 0.69352I
b = 1.69695 − 0.11936I
5.80304 − 1.31943I 0
u = 0.316551 − 0.968693I
a = −1.88014 + 0.69352I
b = 1.69695 + 0.11936I
5.80304 + 1.31943I 0
u = 0.088614 + 0.967014I
a = 1.11936 + 2.02388I
b = −0.1003180 + 0.0011885I
2.64569 + 0.92590I 0
u = 0.088614 − 0.967014I
a = 1.11936 − 2.02388I
b = −0.1003180 − 0.0011885I
2.64569 − 0.92590I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.034600 + 0.968501I
a = −3.18293 + 0.17058I
b = 2.75536 + 0.20472I
8.19227 − 0.15281I 0
u = 0.034600 − 0.968501I
a = −3.18293 − 0.17058I
b = 2.75536 − 0.20472I
8.19227 + 0.15281I 0
u = 0.468693 + 0.931901I
a = 0.874360 − 0.125803I
b = −0.370722 + 0.380148I
−0.68578 − 2.05545I 0
u = 0.468693 − 0.931901I
a = 0.874360 + 0.125803I
b = −0.370722 − 0.380148I
−0.68578 + 2.05545I 0
u = 0.524053 + 0.903789I
a = 0.429339 + 0.831533I
b = −0.397239 + 0.978211I
−4.22261 − 5.62713I 0
u = 0.524053 − 0.903789I
a = 0.429339 − 0.831533I
b = −0.397239 − 0.978211I
−4.22261 + 5.62713I 0
u = 0.942515 + 0.466420I
a = 0.0687464 − 0.0524007I
b = 0.421089 − 0.836959I
−1.95977 − 3.15258I 0
u = 0.942515 − 0.466420I
a = 0.0687464 + 0.0524007I
b = 0.421089 + 0.836959I
−1.95977 + 3.15258I 0
u = −0.912733 + 0.534874I
a = 0.387490 − 0.015209I
b = −0.344925 − 0.072303I
0.62504 − 2.59860I 0
u = −0.912733 − 0.534874I
a = 0.387490 + 0.015209I
b = −0.344925 + 0.072303I
0.62504 + 2.59860I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.351789 + 1.000600I
a = 0.342892 − 0.392805I
b = −0.015754 − 1.316610I
−5.37643 + 2.67841I 0
u = −0.351789 − 1.000600I
a = 0.342892 + 0.392805I
b = −0.015754 + 1.316610I
−5.37643 − 2.67841I 0
u = 0.238293 + 1.057470I
a = −2.38178 − 0.50948I
b = 0.875887 − 0.130142I
3.67325 − 1.82473I 0
u = 0.238293 − 1.057470I
a = −2.38178 + 0.50948I
b = 0.875887 + 0.130142I
3.67325 + 1.82473I 0
u = −0.533860 + 0.958020I
a = −1.84072 + 0.15881I
b = 1.30233 + 1.02834I
−0.94044 + 2.05443I 0
u = −0.533860 − 0.958020I
a = −1.84072 − 0.15881I
b = 1.30233 − 1.02834I
−0.94044 − 2.05443I 0
u = −0.704256 + 0.552773I
a = 0.319026 + 0.864267I
b = 0.612712 − 1.085150I
−2.11848 + 2.62866I 0
u = −0.704256 − 0.552773I
a = 0.319026 − 0.864267I
b = 0.612712 + 1.085150I
−2.11848 − 2.62866I 0
u = 0.344266 + 1.049950I
a = −2.41088 + 0.04163I
b = 1.389530 − 0.046178I
3.21889 − 2.43004I 0
u = 0.344266 − 1.049950I
a = −2.41088 − 0.04163I
b = 1.389530 + 0.046178I
3.21889 + 2.43004I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.005760 + 0.889619I
a = −1.05334 + 1.09957I
b = 0.196920 + 0.854551I
2.37296 − 1.12400I 0
u = −0.005760 − 0.889619I
a = −1.05334 − 1.09957I
b = 0.196920 − 0.854551I
2.37296 + 1.12400I 0
u = −0.023932 + 1.113010I
a = 0.701632 − 0.514535I
b = −0.815122 + 0.220705I
−0.57945 − 2.60843I 0
u = −0.023932 − 1.113010I
a = 0.701632 + 0.514535I
b = −0.815122 − 0.220705I
−0.57945 + 2.60843I 0
u = 0.885725 + 0.037717I
a = 0.416970 + 0.224985I
b = 0.221133 − 0.730148I
−2.27128 − 1.04460I 0
u = 0.885725 − 0.037717I
a = 0.416970 − 0.224985I
b = 0.221133 + 0.730148I
−2.27128 + 1.04460I 0
u = −1.028760 + 0.469136I
a = −0.167751 − 0.361357I
b = −0.902980 + 0.878633I
−7.36456 − 4.66244I 0
u = −1.028760 − 0.469136I
a = −0.167751 + 0.361357I
b = −0.902980 − 0.878633I
−7.36456 + 4.66244I 0
u = 0.750537 + 0.421665I
a = −0.808445 − 0.730052I
b = −0.468007 − 0.392684I
−5.46865 + 0.83801I 0
u = 0.750537 − 0.421665I
a = −0.808445 + 0.730052I
b = −0.468007 + 0.392684I
−5.46865 − 0.83801I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.438608 + 1.052740I
a = 0.776998 − 1.013660I
b = −1.17427 + 1.51445I
−5.71211 + 10.11080I 0
u = −0.438608 − 1.052740I
a = 0.776998 + 1.013660I
b = −1.17427 − 1.51445I
−5.71211 − 10.11080I 0
u = −0.028783 + 0.848063I
a = 2.08400 − 0.54864I
b = −0.937681 − 0.936397I
−1.96071 + 2.92636I 0
u = −0.028783 − 0.848063I
a = 2.08400 + 0.54864I
b = −0.937681 + 0.936397I
−1.96071 − 2.92636I 0
u = −0.616411 + 0.972759I
a = 1.03162 − 0.97316I
b = −1.49185 − 0.20932I
8.63647 + 2.51702I 0
u = −0.616411 − 0.972759I
a = 1.03162 + 0.97316I
b = −1.49185 + 0.20932I
8.63647 − 2.51702I 0
u = −0.382315 + 0.752935I
a = 2.95156 − 0.21603I
b = −1.123000 − 0.742293I
−6.75118 + 1.52015I 0
u = −0.382315 − 0.752935I
a = 2.95156 + 0.21603I
b = −1.123000 + 0.742293I
−6.75118 − 1.52015I 0
u = −0.285890 + 0.793339I
a = −3.66741 − 0.67758I
b = 0.075363 + 0.317107I
−6.43962 + 7.74698I 0
u = −0.285890 − 0.793339I
a = −3.66741 + 0.67758I
b = 0.075363 − 0.317107I
−6.43962 − 7.74698I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.400440 + 1.113570I
a = 2.02387 − 0.38423I
b = −1.42003 + 1.32973I
−1.08963 − 6.72426I 0
u = 0.400440 − 1.113570I
a = 2.02387 + 0.38423I
b = −1.42003 − 1.32973I
−1.08963 + 6.72426I 0
u = 1.179560 + 0.110814I
a = −0.176215 − 0.101678I
b = −0.436606 − 0.909732I
−7.09503 + 2.33950I 0
u = 1.179560 − 0.110814I
a = −0.176215 + 0.101678I
b = −0.436606 + 0.909732I
−7.09503 − 2.33950I 0
u = −0.158955 + 0.796638I
a = −0.148100 + 0.022738I
b = 0.251370 + 1.358570I
−0.63197 + 5.62831I 0
u = −0.158955 − 0.796638I
a = −0.148100 − 0.022738I
b = 0.251370 − 1.358570I
−0.63197 − 5.62831I 0
u = −0.713990 + 0.333093I
a = 0.048421 + 0.346386I
b = 0.755826 − 1.127220I
−2.66772 − 5.71493I 0
u = −0.713990 − 0.333093I
a = 0.048421 − 0.346386I
b = 0.755826 + 1.127220I
−2.66772 + 5.71493I 0
u = 0.352442 + 1.166840I
a = 1.271480 − 0.157515I
b = −0.600113 + 0.145559I
1.04936 − 3.15794I 0
u = 0.352442 − 1.166840I
a = 1.271480 + 0.157515I
b = −0.600113 − 0.145559I
1.04936 + 3.15794I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.554249 + 1.094380I
a = 0.144098 + 0.597012I
b = 0.102609 − 0.202619I
0.55768 − 2.84906I 0
u = −0.554249 − 1.094380I
a = 0.144098 − 0.597012I
b = 0.102609 + 0.202619I
0.55768 + 2.84906I 0
u = 1.177440 + 0.384738I
a = 0.252436 + 0.291822I
b = 0.248807 − 0.332188I
−2.71387 − 1.56680I 0
u = 1.177440 − 0.384738I
a = 0.252436 − 0.291822I
b = 0.248807 + 0.332188I
−2.71387 + 1.56680I 0
u = −0.533350 + 1.139550I
a = −1.95806 + 0.05092I
b = 1.24441 + 1.02146I
−0.23770 + 10.50290I 0
u = −0.533350 − 1.139550I
a = −1.95806 − 0.05092I
b = 1.24441 − 1.02146I
−0.23770 − 10.50290I 0
u = 0.118650 + 0.728634I
a = −1.048600 + 0.651970I
b = 0.706644 + 0.614243I
1.60808 − 0.01006I 0
u = 0.118650 − 0.728634I
a = −1.048600 − 0.651970I
b = 0.706644 − 0.614243I
1.60808 + 0.01006I 0
u = −0.120176 + 1.270150I
a = −1.45832 + 0.13857I
b = 1.23958 + 0.86282I
5.44561 + 0.54327I 0
u = −0.120176 − 1.270150I
a = −1.45832 − 0.13857I
b = 1.23958 − 0.86282I
5.44561 − 0.54327I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.344433 + 1.234220I
a = 1.380290 − 0.233019I
b = −0.749763 − 0.443744I
5.44471 + 0.96802I 0
u = −0.344433 − 1.234220I
a = 1.380290 + 0.233019I
b = −0.749763 + 0.443744I
5.44471 − 0.96802I 0
u = 0.809411 + 0.993656I
a = 0.462983 + 0.716102I
b = −0.845900 − 1.002740I
−4.99396 − 1.48231I 0
u = 0.809411 − 0.993656I
a = 0.462983 − 0.716102I
b = −0.845900 + 1.002740I
−4.99396 + 1.48231I 0
u = 1.290430 + 0.205286I
a = 0.409505 + 0.092156I
b = −0.747598 − 0.972896I
−7.64829 + 1.67619I 0
u = 1.290430 − 0.205286I
a = 0.409505 − 0.092156I
b = −0.747598 + 0.972896I
−7.64829 − 1.67619I 0
u = −1.296000 + 0.245268I
a = 0.086183 − 0.195037I
b = −0.836942 + 0.912264I
−8.5678 − 12.4093I 0
u = −1.296000 − 0.245268I
a = 0.086183 + 0.195037I
b = −0.836942 − 0.912264I
−8.5678 + 12.4093I 0
u = −0.293598 + 0.607364I
a = −3.19539 − 0.48671I
b = −0.003877 + 0.542710I
−6.67313 + 0.32596I 0
u = −0.293598 − 0.607364I
a = −3.19539 + 0.48671I
b = −0.003877 − 0.542710I
−6.67313 − 0.32596I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.457887 + 0.485478I
a = 3.19163 − 0.78266I
b = −1.208740 − 0.574978I
−7.45884 − 6.31704I 0
u = −0.457887 − 0.485478I
a = 3.19163 + 0.78266I
b = −1.208740 + 0.574978I
−7.45884 + 6.31704I 0
u = 0.335344 + 1.315030I
a = −1.296150 + 0.381191I
b = 0.962023 − 0.786565I
3.20626 − 5.97417I 0
u = 0.335344 − 1.315030I
a = −1.296150 − 0.381191I
b = 0.962023 + 0.786565I
3.20626 + 5.97417I 0
u = 0.223741 + 1.340970I
a = 1.112590 − 0.136437I
b = −1.221010 + 0.068206I
0.29479 − 2.54250I 0
u = 0.223741 − 1.340970I
a = 1.112590 + 0.136437I
b = −1.221010 − 0.068206I
0.29479 + 2.54250I 0
u = −0.669687 + 1.185930I
a = 1.51107 − 0.24823I
b = −1.24613 − 1.07662I
−5.04710 + 10.79980I 0
u = −0.669687 − 1.185930I
a = 1.51107 + 0.24823I
b = −1.24613 + 1.07662I
−5.04710 − 10.79980I 0
u = −1.091140 + 0.827047I
a = −0.351679 + 0.480179I
b = 1.022050 + 0.072829I
−1.80926 − 1.00921I 0
u = −1.091140 − 0.827047I
a = −0.351679 − 0.480179I
b = 1.022050 − 0.072829I
−1.80926 + 1.00921I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.396515 + 1.315650I
a = 1.61948 + 0.79863I
b = −0.734042 + 0.712419I
−1.18223 − 8.79537I 0
u = 0.396515 − 1.315650I
a = 1.61948 − 0.79863I
b = −0.734042 − 0.712419I
−1.18223 + 8.79537I 0
u = −0.544458 + 1.277810I
a = 1.231460 − 0.165795I
b = −0.789211 − 0.425263I
3.79615 + 8.61090I 0
u = −0.544458 − 1.277810I
a = 1.231460 + 0.165795I
b = −0.789211 + 0.425263I
3.79615 − 8.61090I 0
u = 0.621714 + 1.244690I
a = 0.044083 − 0.480589I
b = 0.234185 − 0.374406I
0.31789 − 4.87187I 0
u = 0.621714 − 1.244690I
a = 0.044083 + 0.480589I
b = 0.234185 + 0.374406I
0.31789 + 4.87187I 0
u = 0.566807 + 1.278290I
a = −1.132210 + 0.108795I
b = 1.04234 − 0.98191I
1.63841 − 6.36327I 0
u = 0.566807 − 1.278290I
a = −1.132210 − 0.108795I
b = 1.04234 + 0.98191I
1.63841 + 6.36327I 0
u = 0.267805 + 0.532763I
a = −0.20690 + 1.90418I
b = −0.65417 − 1.58804I
−3.17145 + 3.64446I 0. − 1.85999I
u = 0.267805 − 0.532763I
a = −0.20690 − 1.90418I
b = −0.65417 + 1.58804I
−3.17145 − 3.64446I 0. + 1.85999I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.82920 + 1.21161I
a = −0.916204 + 0.496292I
b = 1.292060 + 0.413161I
−0.33359 + 8.25609I 0
u = −0.82920 − 1.21161I
a = −0.916204 − 0.496292I
b = 1.292060 − 0.413161I
−0.33359 − 8.25609I 0
u = 0.62123 + 1.33319I
a = 1.138670 − 0.033900I
b = −0.76777 + 1.20200I
−3.28874 − 8.64255I 0
u = 0.62123 − 1.33319I
a = 1.138670 + 0.033900I
b = −0.76777 − 1.20200I
−3.28874 + 8.64255I 0
u = 0.71380 + 1.30528I
a = 1.70051 + 0.15833I
b = −1.08342 + 0.92416I
−4.25876 − 8.58638I 0
u = 0.71380 − 1.30528I
a = 1.70051 − 0.15833I
b = −1.08342 − 0.92416I
−4.25876 + 8.58638I 0
u = −0.68477 + 1.33321I
a = 1.52600 − 0.09170I
b = −1.20174 − 1.12125I
−5.1071 + 19.2580I 0
u = −0.68477 − 1.33321I
a = 1.52600 + 0.09170I
b = −1.20174 + 1.12125I
−5.1071 − 19.2580I 0
u = 0.38693 + 1.48634I
a = −1.222180 + 0.396141I
b = 1.13113 − 1.23713I
4.29141 − 7.95878I 0
u = 0.38693 − 1.48634I
a = −1.222180 − 0.396141I
b = 1.13113 + 1.23713I
4.29141 + 7.95878I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.85553 + 1.43296I
a = −0.478841 − 0.189907I
b = 0.366409 − 0.414185I
−1.84972 − 4.71382I 0
u = 0.85553 − 1.43296I
a = −0.478841 + 0.189907I
b = 0.366409 + 0.414185I
−1.84972 + 4.71382I 0
u = 0.90497 + 1.55485I
a = −0.224284 + 0.231694I
b = 0.209994 − 0.658565I
−1.88767 − 5.89373I 0
u = 0.90497 − 1.55485I
a = −0.224284 − 0.231694I
b = 0.209994 + 0.658565I
−1.88767 + 5.89373I 0
u = 0.174331 + 0.016194I
a = −4.26654 + 1.42378I
b = 0.847659 − 0.039778I
1.109390 + 0.017944I 2.73791 + 1.35387I
u = 0.174331 − 0.016194I
a = −4.26654 − 1.42378I
b = 0.847659 + 0.039778I
1.109390 − 0.017944I 2.73791 − 1.35387I
u = 0.0605201
a = −12.6040
b = 0.778416
1.10464 5.74650
u = 0.06004 + 1.98432I
a = 0.438049 − 0.075938I
b = −0.594475 − 0.054882I
−0.95333 − 5.60035I 0
u = 0.06004 − 1.98432I
a = 0.438049 + 0.075938I
b = −0.594475 + 0.054882I
−0.95333 + 5.60035I 0
16
II. I
u
2
= h−5.02 × 10
47
u
43
+ 5.13 × 10
48
u
42
+ · · · + 8.94 × 10
46
b + 4.54 ×
10
46
, 4.44 × 10
47
u
43
− 4.47 × 10
48
u
42
+ · · · + 8.94 × 10
46
a − 1.53 ×
10
48
, u
44
− 10u
43
+ · · · − 19u + 1i
(i) Arc colorings
a
1
=
1
0
a
4
=
0
u
a
2
=
1
u
2
a
5
=
−u
u
a
10
=
−4.97111u
43
+ 50.0571u
42
+ ··· − 225.898u + 17.1012
5.61396u
43
− 57.3684u
42
+ ··· + 34.7325u − 0.508121
a
9
=
−5.33970u
43
+ 56.7011u
42
+ ··· − 249.085u + 17.2633
6.21011u
43
− 65.8551u
42
+ ··· + 91.3044u − 3.46619
a
12
=
−15.4932u
43
+ 159.758u
42
+ ··· − 389.071u + 20.0908
14.6642u
43
− 148.573u
42
+ ··· + 97.6849u − 5.16860
a
6
=
−13.8872u
43
+ 141.389u
42
+ ··· − 146.362u + 1.44738
13.5221u
43
− 135.715u
42
+ ··· + 125.314u − 7.34863
a
7
=
−8.00868u
43
+ 79.5319u
42
+ ··· − 215.264u + 7.34792
7.95339u
43
− 81.3190u
42
+ ··· + 73.0167u − 5.11247
a
3
=
−8.55722u
43
+ 65.7531u
42
+ ··· + 547.357u − 35.6510
7.31846u
43
− 53.4993u
42
+ ··· − 278.153u + 14.2272
a
8
=
17.1535u
43
− 177.009u
42
+ ··· + 131.188u − 7.43063
−13.1744u
43
+ 134.683u
42
+ ··· − 140.062u + 6.18646
a
11
=
−5.67649u
43
+ 57.8756u
42
+ ··· − 243.314u + 17.9840
6.31933u
43
− 65.1869u
42
+ ··· + 52.1484u − 1.39091
(ii) Obstruction class = 1
(iii) Cusp Shapes = 14.2407u
43
− 145.038u
42
+ ··· + 172.928u − 7.31479
17
(iv) u-Polynomials at the component
18
Crossings u-Polynomials at each crossing
c
1
u
44
− 10u
43
+ ··· − 19u + 1
c
2
u
44
+ u
43
+ ··· + 12u + 3
c
3
u
44
+ 3u
43
+ ··· − 291u + 43
c
4
u
44
+ 10u
43
+ ··· + 19u + 1
c
5
u
44
+ 5u
43
+ ··· − 189u + 43
c
6
u
44
+ 15u
43
+ ··· + 2u + 1
c
7
u
44
+ 4u
43
+ ··· + 2u + 1
c
8
u
44
− 2u
42
+ ··· − 7u + 1
c
9
u
44
− u
43
+ ··· − 14u + 35
c
10
u
44
− 2u
43
+ ··· − 69u + 9
c
11
u
44
− 4u
43
+ ··· − 2u + 1
c
12
u
44
− 14u
43
+ ··· − 6u + 1
19
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
44
+ 32y
43
+ ··· + 29y + 1
c
2
y
44
+ 11y
43
+ ··· + 186y + 9
c
3
y
44
+ 25y
43
+ ··· − 25771y + 1849
c
5
y
44
− 13y
43
+ ··· + 17341y + 1849
c
6
y
44
− 21y
43
+ ··· + 8y + 1
c
7
, c
11
y
44
+ 8y
43
+ ··· − 20y + 1
c
8
y
44
− 4y
43
+ ··· + 31y + 1
c
9
y
44
+ 13y
43
+ ··· + 16954y + 1225
c
10
y
44
− 2y
43
+ ··· − 207y + 81
c
12
y
44
− 24y
43
+ ··· − 2y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.145790 + 0.967740I
a = −3.14667 − 0.54035I
b = 2.79966 + 0.25136I
8.11914 − 0.60559I 0. + 13.17821I
u = 0.145790 − 0.967740I
a = −3.14667 + 0.54035I
b = 2.79966 − 0.25136I
8.11914 + 0.60559I 0. − 13.17821I
u = 0.204478 + 1.005350I
a = 2.10248 − 0.57083I
b = −0.223674 + 0.160681I
2.78683 − 2.15750I 0
u = 0.204478 − 1.005350I
a = 2.10248 + 0.57083I
b = −0.223674 − 0.160681I
2.78683 + 2.15750I 0
u = 1.037620 + 0.165915I
a = −0.084425 − 0.203707I
b = −0.584826 − 0.879252I
−6.46320 + 2.14405I 0
u = 1.037620 − 0.165915I
a = −0.084425 + 0.203707I
b = −0.584826 + 0.879252I
−6.46320 − 2.14405I 0
u = −0.178211 + 1.110420I
a = −1.75806 + 0.33474I
b = 1.48215 + 0.54261I
6.32752 + 0.83381I 0
u = −0.178211 − 1.110420I
a = −1.75806 − 0.33474I
b = 1.48215 − 0.54261I
6.32752 − 0.83381I 0
u = 0.127150 + 0.859932I
a = −0.72657 − 1.95826I
b = 0.090898 − 0.718815I
2.08019 + 0.63531I −2.82612 + 5.50009I
u = 0.127150 − 0.859932I
a = −0.72657 + 1.95826I
b = 0.090898 + 0.718815I
2.08019 − 0.63531I −2.82612 − 5.50009I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.101847 + 0.859744I
a = 1.175530 + 0.250622I
b = −0.67746 − 1.57271I
−2.18649 + 4.46176I 5.13777 − 5.99980I
u = −0.101847 − 0.859744I
a = 1.175530 − 0.250622I
b = −0.67746 + 1.57271I
−2.18649 − 4.46176I 5.13777 + 5.99980I
u = 0.357891 + 1.107560I
a = −2.29533 − 0.05119I
b = 1.302150 + 0.038608I
3.31457 − 2.67512I 0
u = 0.357891 − 1.107560I
a = −2.29533 + 0.05119I
b = 1.302150 − 0.038608I
3.31457 + 2.67512I 0
u = 0.639284 + 0.981571I
a = 1.010980 + 0.965872I
b = −1.50423 + 0.18361I
8.57763 − 2.58735I 0
u = 0.639284 − 0.981571I
a = 1.010980 − 0.965872I
b = −1.50423 − 0.18361I
8.57763 + 2.58735I 0
u = −0.268616 + 1.176540I
a = −1.53415 + 0.38186I
b = 1.212690 + 0.456968I
6.36237 + 0.81574I 0
u = −0.268616 − 1.176540I
a = −1.53415 − 0.38186I
b = 1.212690 − 0.456968I
6.36237 − 0.81574I 0
u = −0.187086 + 0.727501I
a = 3.67695 − 0.06030I
b = −0.572547 + 0.507401I
−6.23406 + 7.24939I 5.69234 − 0.74748I
u = −0.187086 − 0.727501I
a = 3.67695 + 0.06030I
b = −0.572547 − 0.507401I
−6.23406 − 7.24939I 5.69234 + 0.74748I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.196850 + 0.517003I
a = 0.081799 − 0.467939I
b = 0.597774 + 0.446500I
−2.42245 − 0.72296I 0
u = 1.196850 − 0.517003I
a = 0.081799 + 0.467939I
b = 0.597774 − 0.446500I
−2.42245 + 0.72296I 0
u = −1.160190 + 0.610470I
a = −0.251379 + 0.150972I
b = 0.510144 + 0.160819I
0.84114 − 2.34714I 0
u = −1.160190 − 0.610470I
a = −0.251379 − 0.150972I
b = 0.510144 − 0.160819I
0.84114 + 2.34714I 0
u = 0.906492 + 1.007170I
a = −0.152264 − 0.007738I
b = 0.226830 − 0.775080I
−2.54906 − 4.23367I 0
u = 0.906492 − 1.007170I
a = −0.152264 + 0.007738I
b = 0.226830 + 0.775080I
−2.54906 + 4.23367I 0
u = −0.538537 + 1.288220I
a = −1.254820 + 0.189303I
b = 0.970578 + 0.466699I
4.25991 + 8.71219I 0
u = −0.538537 − 1.288220I
a = −1.254820 − 0.189303I
b = 0.970578 − 0.466699I
4.25991 − 8.71219I 0
u = 0.018643 + 1.406580I
a = 0.687492 − 0.546981I
b = −0.788161 + 0.460674I
−0.29976 − 3.56841I 0
u = 0.018643 − 1.406580I
a = 0.687492 + 0.546981I
b = −0.788161 − 0.460674I
−0.29976 + 3.56841I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.601292 + 1.276500I
a = 1.372180 + 0.148039I
b = −0.883126 + 1.055660I
−3.06634 − 8.01545I 0
u = 0.601292 − 1.276500I
a = 1.372180 − 0.148039I
b = −0.883126 − 1.055660I
−3.06634 + 8.01545I 0
u = 0.356236 + 0.393616I
a = −1.80873 + 0.64868I
b = 0.991638 + 0.284329I
1.122610 − 0.454952I −0.3454 + 14.3770I
u = 0.356236 − 0.393616I
a = −1.80873 − 0.64868I
b = 0.991638 − 0.284329I
1.122610 + 0.454952I −0.3454 − 14.3770I
u = 0.35991 + 1.45671I
a = −1.269400 + 0.459025I
b = 1.14971 − 1.27622I
4.56622 − 8.03198I 0
u = 0.35991 − 1.45671I
a = −1.269400 − 0.459025I
b = 1.14971 + 1.27622I
4.56622 + 8.03198I 0
u = 0.023077 + 0.472457I
a = 3.93559 + 0.86675I
b = −0.546688 + 0.758194I
−6.42468 − 0.43649I 2.50412 + 1.41083I
u = 0.023077 − 0.472457I
a = 3.93559 − 0.86675I
b = −0.546688 − 0.758194I
−6.42468 + 0.43649I 2.50412 − 1.41083I
u = 0.76872 + 1.34279I
a = −0.770537 − 0.067257I
b = 0.890962 − 0.736486I
0.43326 − 6.50441I 0
u = 0.76872 − 1.34279I
a = −0.770537 + 0.067257I
b = 0.890962 + 0.736486I
0.43326 + 6.50441I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.0888844 + 0.0902858I
a = 2.82631 − 4.03970I
b = 0.413576 − 1.153050I
−1.34686 − 5.16087I 2.85418 + 3.67514I
u = 0.0888844 − 0.0902858I
a = 2.82631 + 4.03970I
b = 0.413576 + 1.153050I
−1.34686 + 5.16087I 2.85418 − 3.67514I
u = 0.60217 + 1.81361I
a = −0.316961 − 0.108712I
b = 0.141958 − 0.277846I
−1.34915 − 6.05980I 0
u = 0.60217 − 1.81361I
a = −0.316961 + 0.108712I
b = 0.141958 + 0.277846I
−1.34915 + 6.05980I 0
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
44
− 10u
43
+ ··· − 19u + 1)(u
119
+ 5u
118
+ ··· + 33731u + 1219)
c
2
(u
44
+ u
43
+ ··· + 12u + 3)(u
119
− 8u
118
+ ··· − 4u − 1)
c
3
(u
44
+ 3u
43
+ ··· − 291u + 43)
· (u
119
− 14u
117
+ ··· + 152947565649u − 9784213871)
c
4
(u
44
+ 10u
43
+ ··· + 19u + 1)(u
119
+ 5u
118
+ ··· + 33731u + 1219)
c
5
(u
44
+ 5u
43
+ ··· − 189u + 43)
· (u
119
+ 2u
118
+ ··· + 2467110921u − 1915307993)
c
6
(u
44
+ 15u
43
+ ··· + 2u + 1)(u
119
+ 4u
118
+ ··· + 6u − 1)
c
7
(u
44
+ 4u
43
+ ··· + 2u + 1)(u
119
− 3u
118
+ ··· − 2145918u − 358027)
c
8
(u
44
− 2u
42
+ ··· − 7u + 1)(u
119
− u
118
+ ··· − 2803281u − 360061)
c
9
(u
44
− u
43
+ ··· − 14u + 35)
· (u
119
− 4u
118
+ ··· − 2405770u − 8033011)
c
10
(u
44
− 2u
43
+ ··· − 69u + 9)(u
119
− u
118
+ ··· − 40925u − 4771)
c
11
(u
44
− 4u
43
+ ··· − 2u + 1)(u
119
− 3u
118
+ ··· − 2145918u − 358027)
c
12
(u
44
− 14u
43
+ ··· − 6u + 1)(u
119
+ 7u
118
+ ··· − 26u − 1)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
44
+ 32y
43
+ ··· + 29y + 1)
· (y
119
+ 71y
118
+ ··· + 441068225y −1485961)
c
2
(y
44
+ 11y
43
+ ··· + 186y + 9)(y
119
+ 38y
118
+ ··· − 296y −1)
c
3
(y
44
+ 25y
43
+ ··· − 25771y + 1849)
· (y
119
− 28y
118
+ ··· + 4.07 × 10
21
y −9.57 × 10
19
)
c
5
(y
44
− 13y
43
+ ··· + 17341y + 1849)
· (y
119
+ 54y
118
+ ··· − 4.20 × 10
19
y −3.67 × 10
18
)
c
6
(y
44
− 21y
43
+ ··· + 8y + 1)(y
119
− 14y
118
+ ··· − 2y −1)
c
7
, c
11
(y
44
+ 8y
43
+ ··· − 20y + 1)
· (y
119
+ 87y
118
+ ··· − 6209933896494y −128183332729)
c
8
(y
44
− 4y
43
+ ··· + 31y + 1)
· (y
119
− 37y
118
+ ··· + 387766004639y −129643923721)
c
9
(y
44
+ 13y
43
+ ··· + 16954y + 1225)
· (y
119
+ 48y
118
+ ··· − 3572692300957120y −64529265726121)
c
10
(y
44
− 2y
43
+ ··· − 207y + 81)
· (y
119
+ 13y
118
+ ··· − 5029200903y −22762441)
c
12
(y
44
− 24y
43
+ ··· − 2y + 1)(y
119
− 25y
118
+ ··· + 172y −1)
28
