12a
0697
(K12a
0697
)
A knot diagram
1
Linearized knot diagam
3 8 6 10 9 1 11 2 12 7 5 4
Solving Sequence
3,8
2 9
1,11
7 6 4 5 10 12
c
2
c
8
c
1
c
7
c
6
c
3
c
5
c
10
c
12
c
4
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.38429 × 10
798
u
193
+ 3.87152 × 10
798
u
192
+ ··· + 2.19950 × 10
798
b − 4.90381 × 10
800
,
− 8.75612 × 10
800
u
193
+ 3.14690 × 10
801
u
192
+ ··· + 2.64159 × 10
801
a + 2.08172 × 10
803
,
u
194
− 4u
193
+ ··· − 2190u + 1201i
I
u
2
= h1.01475 × 10
22
u
43
− 2.00856 × 10
22
u
42
+ ··· + 3.01682 × 10
21
b − 9.17444 × 10
21
,
− 6.80246 × 10
21
u
43
+ 1.04596 × 10
22
u
42
+ ··· + 3.01682 × 10
21
a − 1.46523 × 10
22
, u
44
− u
43
+ ··· − 5u + 1i
* 2 irreducible components of dim
C
= 0, with total 238 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−1.38 × 10
798
u
193
+ 3.87 × 10
798
u
192
+ · · · + 2.20 × 10
798
b − 4.90 ×
10
800
, −8.76 × 10
800
u
193
+ 3.15 × 10
801
u
192
+ · · · + 2.64 × 10
801
a + 2.08 ×
10
803
, u
194
− 4u
193
+ · · · − 2190u + 1201i
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
2
=
1
u
2
a
9
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
11
=
0.331471u
193
− 1.19129u
192
+ ··· + 396.308u − 78.8056
0.629367u
193
− 1.76019u
192
+ ··· + 443.354u + 222.952
a
7
=
0.230235u
193
− 0.229303u
192
+ ··· − 256.608u + 636.997
2.04507u
193
− 7.51758u
192
+ ··· + 3825.85u − 1438.51
a
6
=
−0.584614u
193
+ 2.07784u
192
+ ··· − 968.110u + 357.563
1.02690u
193
− 3.46100u
192
+ ··· + 1531.49u − 314.193
a
4
=
0.316417u
193
− 0.526957u
192
+ ··· − 603.289u + 840.527
0.639153u
193
− 1.96569u
192
+ ··· + 543.699u + 4.23901
a
5
=
0.341625u
193
− 0.495401u
192
+ ··· − 230.907u + 752.488
2.03737u
193
− 7.36267u
192
+ ··· + 3634.73u − 1278.45
a
10
=
0.899157u
193
− 3.33150u
192
+ ··· + 1895.23u − 716.726
0.423782u
193
− 2.40417u
192
+ ··· + 1856.81u − 1315.96
a
12
=
0.636085u
193
− 2.44361u
192
+ ··· + 1676.72u − 722.342
0.241514u
193
− 1.40839u
192
+ ··· + 1124.19u − 730.575
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.45492u
193
+ 7.04924u
192
+ ··· − 2454.11u − 495.711
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
194
+ 76u
193
+ ··· + 17206220u + 1442401
c
2
, c
8
u
194
+ 4u
193
+ ··· + 2190u + 1201
c
3
16(16u
194
+ 316u
193
+ ··· − 5u + 1)
c
4
4(4u
194
+ 6u
193
+ ··· − 180u + 5)
c
5
u
194
− 4u
193
+ ··· + 223613010u + 9397652
c
6
u
194
+ 4u
192
+ ··· + 535380u + 59536
c
7
, c
10
4(4u
194
+ 10u
193
+ ··· − 2u + 1)
c
9
u
194
− 19u
193
+ ··· − 8u + 1
c
11
4(4u
194
+ 30u
193
+ ··· − 60u + 1)
c
12
u
194
+ 9u
193
+ ··· + 38561386u + 5467612
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
194
+ 20y
193
+ ··· − 483570365808132y + 2080520644801
c
2
, c
8
y
194
+ 76y
193
+ ··· + 17206220y + 1442401
c
3
256(256y
194
− 7920y
193
+ ··· − 805y + 1)
c
4
16(16y
194
− 476y
193
+ ··· + 350y + 25)
c
5
y
194
+ 56y
193
+ ··· − 15147856641788764y + 88315863113104
c
6
y
194
+ 8y
193
+ ··· − 1377094192048y + 3544535296
c
7
, c
10
16(16y
194
− 1740y
193
+ ··· − 54y + 1)
c
9
y
194
− 27y
193
+ ··· + 176y + 1
c
11
16(16y
194
− 188y
193
+ ··· − 218y + 1)
c
12
y
194
+ 27y
193
+ ··· + 83542449688324y + 29894780982544
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.352856 + 0.935267I
a = −0.142936 + 1.156860I
b = −1.019070 − 0.047088I
−2.04059 + 1.29524I 0
u = −0.352856 − 0.935267I
a = −0.142936 − 1.156860I
b = −1.019070 + 0.047088I
−2.04059 − 1.29524I 0
u = −0.858241 + 0.500645I
a = −0.871810 + 0.893397I
b = −0.367726 + 0.658728I
−1.12610 + 9.17491I 0
u = −0.858241 − 0.500645I
a = −0.871810 − 0.893397I
b = −0.367726 − 0.658728I
−1.12610 − 9.17491I 0
u = 0.171791 + 0.977728I
a = −0.081012 − 0.481370I
b = −1.106520 − 0.429809I
−2.44322 − 1.19674I 0
u = 0.171791 − 0.977728I
a = −0.081012 + 0.481370I
b = −1.106520 + 0.429809I
−2.44322 + 1.19674I 0
u = 0.461501 + 0.900448I
a = 0.409589 − 0.627996I
b = 4.07565 + 2.62467I
−3.87773 + 6.12031I 0
u = 0.461501 − 0.900448I
a = 0.409589 + 0.627996I
b = 4.07565 − 2.62467I
−3.87773 − 6.12031I 0
u = −0.466956 + 0.870291I
a = 1.03500 + 1.16180I
b = 2.20505 − 1.18125I
−1.16359 − 1.62170I 0
u = −0.466956 − 0.870291I
a = 1.03500 − 1.16180I
b = 2.20505 + 1.18125I
−1.16359 + 1.62170I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.444555 + 0.881941I
a = 1.043030 + 0.571776I
b = 0.02131 + 1.64378I
−4.76293 + 1.82373I 0
u = 0.444555 − 0.881941I
a = 1.043030 − 0.571776I
b = 0.02131 − 1.64378I
−4.76293 − 1.82373I 0
u = −0.473853 + 0.899736I
a = −0.79929 − 1.33512I
b = −2.15545 + 0.63487I
−1.25921 − 2.17281I 0
u = −0.473853 − 0.899736I
a = −0.79929 + 1.33512I
b = −2.15545 − 0.63487I
−1.25921 + 2.17281I 0
u = 0.270488 + 0.939040I
a = 0.502282 + 1.260000I
b = −0.078034 + 0.758939I
−1.60615 − 6.44241I 0
u = 0.270488 − 0.939040I
a = 0.502282 − 1.260000I
b = −0.078034 − 0.758939I
−1.60615 + 6.44241I 0
u = 0.452051 + 0.858999I
a = −0.484321 + 0.613005I
b = −4.38482 − 2.55892I
−3.72430 − 2.38599I 0
u = 0.452051 − 0.858999I
a = −0.484321 − 0.613005I
b = −4.38482 + 2.55892I
−3.72430 + 2.38599I 0
u = −0.507795 + 0.897267I
a = −0.081761 + 1.334530I
b = 0.456448 − 0.037680I
−0.84339 − 2.73028I 0
u = −0.507795 − 0.897267I
a = −0.081761 − 1.334530I
b = 0.456448 + 0.037680I
−0.84339 + 2.73028I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.527035 + 0.807287I
a = 1.27885 − 1.51703I
b = −0.24618 − 1.44845I
−1.80592 − 2.20740I 0
u = −0.527035 − 0.807287I
a = 1.27885 + 1.51703I
b = −0.24618 + 1.44845I
−1.80592 + 2.20740I 0
u = −0.545883 + 0.792695I
a = 0.333347 + 1.343860I
b = 1.25286 − 1.32258I
3.09387 − 2.25723I 0
u = −0.545883 − 0.792695I
a = 0.333347 − 1.343860I
b = 1.25286 + 1.32258I
3.09387 + 2.25723I 0
u = −0.482202 + 0.821143I
a = −1.157770 − 0.378062I
b = −1.46674 + 0.26591I
−0.56656 − 1.32350I 0
u = −0.482202 − 0.821143I
a = −1.157770 + 0.378062I
b = −1.46674 − 0.26591I
−0.56656 + 1.32350I 0
u = −0.772373 + 0.711577I
a = 0.530133 + 0.980748I
b = 2.14125 − 0.81703I
4.21166 + 5.48024I 0
u = −0.772373 − 0.711577I
a = 0.530133 − 0.980748I
b = 2.14125 + 0.81703I
4.21166 − 5.48024I 0
u = 0.801307 + 0.687595I
a = 1.003350 − 0.750219I
b = 2.05837 + 0.73821I
8.26907 + 2.25026I 0
u = 0.801307 − 0.687595I
a = 1.003350 + 0.750219I
b = 2.05837 − 0.73821I
8.26907 − 2.25026I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.998230 + 0.357435I
a = −0.904875 − 0.729293I
b = −1.37085 + 0.75442I
5.58425 + 6.39972I 0
u = −0.998230 − 0.357435I
a = −0.904875 + 0.729293I
b = −1.37085 − 0.75442I
5.58425 − 6.39972I 0
u = 0.641551 + 0.685549I
a = −0.358563 + 1.298770I
b = −1.125070 − 0.630303I
3.32422 − 1.81568I 0
u = 0.641551 − 0.685549I
a = −0.358563 − 1.298770I
b = −1.125070 + 0.630303I
3.32422 + 1.81568I 0
u = −0.554188 + 0.908975I
a = −1.035570 − 0.647178I
b = −2.84167 + 0.38500I
2.70820 − 2.16237I 0
u = −0.554188 − 0.908975I
a = −1.035570 + 0.647178I
b = −2.84167 − 0.38500I
2.70820 + 2.16237I 0
u = 0.956954 + 0.469120I
a = −0.756887 + 1.194240I
b = −1.38208 − 0.55142I
2.92177 − 7.18756I 0
u = 0.956954 − 0.469120I
a = −0.756887 − 1.194240I
b = −1.38208 + 0.55142I
2.92177 + 7.18756I 0
u = −0.558625 + 0.911635I
a = 0.545019 − 0.408731I
b = 0.248754 − 0.554857I
0.35179 − 2.52006I 0
u = −0.558625 − 0.911635I
a = 0.545019 + 0.408731I
b = 0.248754 + 0.554857I
0.35179 + 2.52006I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.814891 + 0.695923I
a = −0.589698 + 0.977948I
b = −1.56637 − 0.92940I
4.44153 − 1.39602I 0
u = 0.814891 − 0.695923I
a = −0.589698 − 0.977948I
b = −1.56637 + 0.92940I
4.44153 + 1.39602I 0
u = 0.815899 + 0.697491I
a = −1.15193 + 0.95053I
b = −1.99896 − 0.55484I
6.21880 − 3.92650I 0
u = 0.815899 − 0.697491I
a = −1.15193 − 0.95053I
b = −1.99896 + 0.55484I
6.21880 + 3.92650I 0
u = 0.540679 + 0.928065I
a = 0.200205 + 0.648447I
b = 1.93725 + 0.34871I
−2.96710 + 6.70397I 0
u = 0.540679 − 0.928065I
a = 0.200205 − 0.648447I
b = 1.93725 − 0.34871I
−2.96710 − 6.70397I 0
u = 0.965026 + 0.476531I
a = 0.799543 − 1.088150I
b = 1.51509 + 0.61731I
2.0423 − 15.7305I 0
u = 0.965026 − 0.476531I
a = 0.799543 + 1.088150I
b = 1.51509 − 0.61731I
2.0423 + 15.7305I 0
u = 0.024835 + 1.077440I
a = −0.929167 − 0.390211I
b = −1.71772 + 0.82024I
−6.73950 − 1.83807I 0
u = 0.024835 − 1.077440I
a = −0.929167 + 0.390211I
b = −1.71772 − 0.82024I
−6.73950 + 1.83807I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.574746 + 0.715084I
a = 0.328793 − 0.506058I
b = 0.053976 − 0.445540I
0.90332 − 2.01070I 0
u = −0.574746 − 0.715084I
a = 0.328793 + 0.506058I
b = 0.053976 + 0.445540I
0.90332 + 2.01070I 0
u = −0.328946 + 0.855888I
a = 0.043193 − 0.995853I
b = −0.129126 − 1.210010I
1.47032 − 2.23196I 0
u = −0.328946 − 0.855888I
a = 0.043193 + 0.995853I
b = −0.129126 + 1.210010I
1.47032 + 2.23196I 0
u = 0.890139 + 0.201687I
a = −0.647749 + 0.222148I
b = −0.814819 − 0.036399I
−0.70524 − 3.34036I 0
u = 0.890139 − 0.201687I
a = −0.647749 − 0.222148I
b = −0.814819 + 0.036399I
−0.70524 + 3.34036I 0
u = −0.861625 + 0.682657I
a = 1.158560 + 0.286351I
b = 1.77786 − 0.63784I
4.64075 − 1.94310I 0
u = −0.861625 − 0.682657I
a = 1.158560 − 0.286351I
b = 1.77786 + 0.63784I
4.64075 + 1.94310I 0
u = 0.459598 + 1.000590I
a = −0.664800 + 0.012834I
b = −0.898800 + 0.454534I
−3.86733 + 3.29808I 0
u = 0.459598 − 1.000590I
a = −0.664800 − 0.012834I
b = −0.898800 − 0.454534I
−3.86733 − 3.29808I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.529727 + 0.966617I
a = −0.680338 − 0.118273I
b = 0.135431 − 0.420079I
−0.08262 + 7.16741I 0
u = 0.529727 − 0.966617I
a = −0.680338 + 0.118273I
b = 0.135431 + 0.420079I
−0.08262 − 7.16741I 0
u = −0.056340 + 1.102950I
a = −0.371392 − 0.769289I
b = −1.44641 + 0.05833I
−2.34807 − 1.62864I 0
u = −0.056340 − 1.102950I
a = −0.371392 + 0.769289I
b = −1.44641 − 0.05833I
−2.34807 + 1.62864I 0
u = −0.950171 + 0.564993I
a = 0.699550 + 0.799784I
b = 1.76306 − 0.69524I
1.83830 + 5.77997I 0
u = −0.950171 − 0.564993I
a = 0.699550 − 0.799784I
b = 1.76306 + 0.69524I
1.83830 − 5.77997I 0
u = −0.363033 + 1.044210I
a = 0.029375 + 1.037740I
b = −0.31375 + 1.92955I
−2.05100 + 4.55845I 0
u = −0.363033 − 1.044210I
a = 0.029375 − 1.037740I
b = −0.31375 − 1.92955I
−2.05100 − 4.55845I 0
u = −0.783517 + 0.423177I
a = −0.883703 − 0.972798I
b = −1.66287 + 1.04127I
1.50052 + 6.45762I 0
u = −0.783517 − 0.423177I
a = −0.883703 + 0.972798I
b = −1.66287 − 1.04127I
1.50052 − 6.45762I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.786529 + 0.416423I
a = −0.617898 − 0.770584I
b = −0.036322 + 0.505914I
−1.34407 + 5.45592I 0
u = 0.786529 − 0.416423I
a = −0.617898 + 0.770584I
b = −0.036322 − 0.505914I
−1.34407 − 5.45592I 0
u = 0.446123 + 1.017670I
a = −0.255886 − 0.681936I
b = −1.53406 + 0.14590I
−3.44389 − 0.93394I 0
u = 0.446123 − 1.017670I
a = −0.255886 + 0.681936I
b = −1.53406 − 0.14590I
−3.44389 + 0.93394I 0
u = −0.543451 + 0.970576I
a = 0.886522 + 0.730130I
b = 3.15359 − 1.26327I
−0.79276 − 6.61650I 0
u = −0.543451 − 0.970576I
a = 0.886522 − 0.730130I
b = 3.15359 + 1.26327I
−0.79276 + 6.61650I 0
u = 0.610324 + 0.939595I
a = 1.045980 − 0.459740I
b = 2.44205 + 0.72514I
2.57631 + 6.72171I 0
u = 0.610324 − 0.939595I
a = 1.045980 + 0.459740I
b = 2.44205 − 0.72514I
2.57631 − 6.72171I 0
u = 0.752142 + 0.452326I
a = 0.137674 + 0.661861I
b = −0.021573 − 0.236399I
2.11127 − 2.81409I 0
u = 0.752142 − 0.452326I
a = 0.137674 − 0.661861I
b = −0.021573 + 0.236399I
2.11127 + 2.81409I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.435647 + 0.754428I
a = −0.375545 − 1.008050I
b = −0.535683 − 1.200410I
0.75044 − 3.14796I 0
u = 0.435647 − 0.754428I
a = −0.375545 + 1.008050I
b = −0.535683 + 1.200410I
0.75044 + 3.14796I 0
u = −0.350863 + 1.077150I
a = −0.673207 − 0.684831I
b = −1.31873 − 0.83905I
−2.28589 − 3.35519I 0
u = −0.350863 − 1.077150I
a = −0.673207 + 0.684831I
b = −1.31873 + 0.83905I
−2.28589 + 3.35519I 0
u = 0.426788 + 1.051820I
a = −0.090839 + 0.304659I
b = −0.07841 + 1.49959I
−4.18409 + 3.39305I 0
u = 0.426788 − 1.051820I
a = −0.090839 − 0.304659I
b = −0.07841 − 1.49959I
−4.18409 − 3.39305I 0
u = 0.660038 + 0.924385I
a = −0.827509 − 0.708024I
b = −0.614171 − 0.454722I
−3.53015 + 2.60312I 0
u = 0.660038 − 0.924385I
a = −0.827509 + 0.708024I
b = −0.614171 + 0.454722I
−3.53015 − 2.60312I 0
u = −0.497089 + 1.021890I
a = 0.811704 + 0.641576I
b = 2.53333 + 1.37633I
−1.23386 − 10.99860I 0
u = −0.497089 − 1.021890I
a = 0.811704 − 0.641576I
b = 2.53333 − 1.37633I
−1.23386 + 10.99860I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.801772 + 0.316134I
a = 1.311960 − 0.340023I
b = 0.586322 − 0.321066I
1.66785 − 0.26603I 0
u = −0.801772 − 0.316134I
a = 1.311960 + 0.340023I
b = 0.586322 + 0.321066I
1.66785 + 0.26603I 0
u = 0.700393 + 0.499917I
a = −0.504691 + 0.263452I
b = −0.103187 − 0.891546I
1.86908 − 2.72024I 0
u = 0.700393 − 0.499917I
a = −0.504691 − 0.263452I
b = −0.103187 + 0.891546I
1.86908 + 2.72024I 0
u = 0.563530 + 0.990930I
a = −1.252540 + 0.653017I
b = −2.43821 − 0.94346I
0.25809 + 11.99180I 0
u = 0.563530 − 0.990930I
a = −1.252540 − 0.653017I
b = −2.43821 + 0.94346I
0.25809 − 11.99180I 0
u = −0.511096 + 0.685410I
a = −0.49674 − 1.32758I
b = −2.04518 + 1.36491I
0.12768 + 2.28444I 0
u = −0.511096 − 0.685410I
a = −0.49674 + 1.32758I
b = −2.04518 − 1.36491I
0.12768 − 2.28444I 0
u = −1.165370 + 0.044542I
a = 1.247400 − 0.243693I
b = 1.241440 + 0.017823I
2.29243 − 0.14459I 0
u = −1.165370 − 0.044542I
a = 1.247400 + 0.243693I
b = 1.241440 − 0.017823I
2.29243 + 0.14459I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.291541 + 1.137520I
a = −0.221315 + 0.006459I
b = −0.399387 + 0.221655I
−5.18462 − 0.24486I 0
u = 0.291541 − 1.137520I
a = −0.221315 − 0.006459I
b = −0.399387 − 0.221655I
−5.18462 + 0.24486I 0
u = 0.533299 + 0.619655I
a = 0.44414 − 1.85659I
b = 1.41938 + 0.27626I
1.39225 − 7.49012I 0
u = 0.533299 − 0.619655I
a = 0.44414 + 1.85659I
b = 1.41938 − 0.27626I
1.39225 + 7.49012I 0
u = −0.674081 + 0.974096I
a = −0.864381 − 0.594308I
b = −2.61086 + 1.63115I
3.38962 − 10.95500I 0
u = −0.674081 − 0.974096I
a = −0.864381 + 0.594308I
b = −2.61086 − 1.63115I
3.38962 + 10.95500I 0
u = −0.018597 + 1.190760I
a = 0.789241 + 0.342314I
b = 1.42120 − 0.49910I
−7.21799 + 7.18276I 0
u = −0.018597 − 1.190760I
a = 0.789241 − 0.342314I
b = 1.42120 + 0.49910I
−7.21799 − 7.18276I 0
u = 0.475641 + 0.648035I
a = 0.946520 + 0.236724I
b = −0.085388 − 0.726431I
−2.19920 − 2.38962I 0
u = 0.475641 − 0.648035I
a = 0.946520 − 0.236724I
b = −0.085388 + 0.726431I
−2.19920 + 2.38962I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.193741 + 1.183850I
a = −0.262898 + 0.892229I
b = −0.818476 − 0.554389I
−3.51232 + 3.92942I 0
u = −0.193741 − 1.183850I
a = −0.262898 − 0.892229I
b = −0.818476 + 0.554389I
−3.51232 − 3.92942I 0
u = 0.694226 + 0.980640I
a = −0.669438 + 0.920136I
b = −2.04031 − 0.90443I
7.37060 + 3.35651I 0
u = 0.694226 − 0.980640I
a = −0.669438 − 0.920136I
b = −2.04031 + 0.90443I
7.37060 − 3.35651I 0
u = 0.308818 + 1.163950I
a = −0.287603 + 0.363462I
b = −0.854180 + 0.597152I
−5.11943 − 0.20016I 0
u = 0.308818 − 1.163950I
a = −0.287603 − 0.363462I
b = −0.854180 − 0.597152I
−5.11943 + 0.20016I 0
u = 0.705084 + 0.983531I
a = 0.857073 − 1.066430I
b = 2.13028 + 0.61835I
5.33406 + 9.61525I 0
u = 0.705084 − 0.983531I
a = 0.857073 + 1.066430I
b = 2.13028 − 0.61835I
5.33406 − 9.61525I 0
u = 0.588635 + 1.061140I
a = 0.194830 − 0.255898I
b = 1.34687 − 0.46141I
0.19057 + 7.69336I 0
u = 0.588635 − 1.061140I
a = 0.194830 + 0.255898I
b = 1.34687 + 0.46141I
0.19057 − 7.69336I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.702284 + 0.993838I
a = 0.892985 − 0.557846I
b = 2.54331 + 0.85132I
3.51450 + 7.08392I 0
u = 0.702284 − 0.993838I
a = 0.892985 + 0.557846I
b = 2.54331 − 0.85132I
3.51450 − 7.08392I 0
u = 0.563184 + 1.082840I
a = −0.526243 − 0.087380I
b = −0.443054 − 0.075036I
−3.34309 + 7.92558I 0
u = 0.563184 − 1.082840I
a = −0.526243 + 0.087380I
b = −0.443054 + 0.075036I
−3.34309 − 7.92558I 0
u = 0.730207 + 0.269410I
a = 0.269298 + 0.189794I
b = −0.170148 − 0.015857I
−1.01201 − 3.30135I 0
u = 0.730207 − 0.269410I
a = 0.269298 − 0.189794I
b = −0.170148 + 0.015857I
−1.01201 + 3.30135I 0
u = −0.706945 + 0.310011I
a = 1.240170 + 0.052375I
b = 0.651423 − 0.299002I
1.66440 − 0.35187I 0
u = −0.706945 − 0.310011I
a = 1.240170 − 0.052375I
b = 0.651423 + 0.299002I
1.66440 + 0.35187I 0
u = −1.008580 + 0.706175I
a = 0.641294 + 0.746726I
b = 1.43228 − 0.53328I
1.95638 + 1.36014I 0
u = −1.008580 − 0.706175I
a = 0.641294 − 0.746726I
b = 1.43228 + 0.53328I
1.95638 − 1.36014I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.136706 + 1.224090I
a = 0.471608 − 0.600751I
b = 0.727639 + 0.639634I
−5.51796 + 4.03330I 0
u = 0.136706 − 1.224090I
a = 0.471608 + 0.600751I
b = 0.727639 − 0.639634I
−5.51796 − 4.03330I 0
u = −0.724518 + 0.998585I
a = −0.315803 − 0.988115I
b = −1.246040 + 0.435773I
3.65898 − 3.92264I 0
u = −0.724518 − 0.998585I
a = −0.315803 + 0.988115I
b = −1.246040 − 0.435773I
3.65898 + 3.92264I 0
u = 0.143138 + 1.228570I
a = 0.419407 − 0.507859I
b = 0.545119 + 0.161875I
−5.87051 − 0.00222I 0
u = 0.143138 − 1.228570I
a = 0.419407 + 0.507859I
b = 0.545119 − 0.161875I
−5.87051 + 0.00222I 0
u = 0.496875 + 1.133980I
a = 0.484747 − 0.146259I
b = 0.635086 + 0.449957I
−3.65560 + 8.15638I 0
u = 0.496875 − 1.133980I
a = 0.484747 + 0.146259I
b = 0.635086 − 0.449957I
−3.65560 − 8.15638I 0
u = −0.378530 + 1.186340I
a = −0.133070 − 0.962640I
b = −0.051418 − 0.991230I
−1.80073 − 4.68824I 0
u = −0.378530 − 1.186340I
a = −0.133070 + 0.962640I
b = −0.051418 + 0.991230I
−1.80073 + 4.68824I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.313454 + 0.677036I
a = 0.04273 − 1.67717I
b = 1.00072 + 1.11876I
0.17964 + 7.26882I 0
u = −0.313454 − 0.677036I
a = 0.04273 + 1.67717I
b = 1.00072 − 1.11876I
0.17964 − 7.26882I 0
u = 0.540319 + 1.131560I
a = 0.050143 + 0.169734I
b = 0.147863 + 0.520157I
−3.50534 + 8.10688I 0
u = 0.540319 − 1.131560I
a = 0.050143 − 0.169734I
b = 0.147863 − 0.520157I
−3.50534 − 8.10688I 0
u = 0.603918 + 1.106710I
a = 0.388606 + 0.311493I
b = 0.792834 + 0.258179I
0.15130 + 7.98524I 0
u = 0.603918 − 1.106710I
a = 0.388606 − 0.311493I
b = 0.792834 − 0.258179I
0.15130 − 7.98524I 0
u = 1.26520
a = −0.610970
b = −1.83544
−0.265156 0
u = −0.616973 + 1.108750I
a = 0.754256 + 0.625216I
b = 2.86319 − 0.98382I
−0.52207 − 11.74650I 0
u = −0.616973 − 1.108750I
a = 0.754256 − 0.625216I
b = 2.86319 + 0.98382I
−0.52207 + 11.74650I 0
u = −1.119850 + 0.615007I
a = −0.997390 − 0.166084I
b = −1.70972 + 0.53402I
2.68440 − 9.71298I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.119850 − 0.615007I
a = −0.997390 + 0.166084I
b = −1.70972 − 0.53402I
2.68440 + 9.71298I 0
u = −0.591211 + 1.138220I
a = −0.021882 − 0.808842I
b = −0.676599 − 0.610431I
−0.73955 − 4.68557I 0
u = −0.591211 − 1.138220I
a = −0.021882 + 0.808842I
b = −0.676599 + 0.610431I
−0.73955 + 4.68557I 0
u = −0.662558 + 1.101730I
a = −0.677633 + 0.768503I
b = −0.296481 + 1.052240I
−2.9446 − 14.8246I 0
u = −0.662558 − 1.101730I
a = −0.677633 − 0.768503I
b = −0.296481 − 1.052240I
−2.9446 + 14.8246I 0
u = 0.620880 + 0.331426I
a = 1.144340 − 0.352340I
b = 1.22568 + 1.35925I
1.68508 + 4.28171I 0
u = 0.620880 − 0.331426I
a = 1.144340 + 0.352340I
b = 1.22568 − 1.35925I
1.68508 − 4.28171I 0
u = −0.713880 + 1.114450I
a = −0.768570 − 0.569960I
b = −2.39926 + 1.03668I
0.11879 − 11.87140I 0
u = −0.713880 − 1.114450I
a = −0.768570 + 0.569960I
b = −2.39926 − 1.03668I
0.11879 + 11.87140I 0
u = −0.046201 + 1.327280I
a = −0.565969 − 0.899148I
b = −1.036020 − 0.235434I
−4.01361 − 4.39879I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.046201 − 1.327280I
a = −0.565969 + 0.899148I
b = −1.036020 + 0.235434I
−4.01361 + 4.39879I 0
u = 0.683065 + 1.144690I
a = 1.021930 − 0.507645I
b = 2.77876 + 0.72430I
0.84448 + 13.15870I 0
u = 0.683065 − 1.144690I
a = 1.021930 + 0.507645I
b = 2.77876 − 0.72430I
0.84448 − 13.15870I 0
u = −0.011997 + 1.337920I
a = 0.473575 + 0.870417I
b = 0.904012 − 0.052590I
−4.85156 − 12.88550I 0
u = −0.011997 − 1.337920I
a = 0.473575 − 0.870417I
b = 0.904012 + 0.052590I
−4.85156 + 12.88550I 0
u = 0.795750 + 1.076950I
a = 0.453998 − 0.341801I
b = 2.07265 + 1.36340I
−1.73246 + 7.64738I 0
u = 0.795750 − 1.076950I
a = 0.453998 + 0.341801I
b = 2.07265 − 1.36340I
−1.73246 − 7.64738I 0
u = 0.689101 + 1.149560I
a = −0.957485 + 0.548972I
b = −2.74510 − 0.77034I
−0.0347 + 21.7552I 0
u = 0.689101 − 1.149560I
a = −0.957485 − 0.548972I
b = −2.74510 + 0.77034I
−0.0347 − 21.7552I 0
u = −0.302432 + 0.585478I
a = 1.10025 + 1.28037I
b = 0.208769 − 0.589069I
2.21685 − 0.27704I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.302432 − 0.585478I
a = 1.10025 − 1.28037I
b = 0.208769 + 0.589069I
2.21685 + 0.27704I 0
u = −0.663650 + 1.173940I
a = 0.385926 − 1.135850I
b = −0.079912 − 1.291430I
−0.88157 − 5.29201I 0
u = −0.663650 − 1.173940I
a = 0.385926 + 1.135850I
b = −0.079912 + 1.291430I
−0.88157 + 5.29201I 0
u = 0.007816 + 0.648581I
a = 1.30359 − 0.66834I
b = −0.043798 − 0.601479I
−2.27512 − 2.21314I 0
u = 0.007816 − 0.648581I
a = 1.30359 + 0.66834I
b = −0.043798 + 0.601479I
−2.27512 + 2.21314I 0
u = 0.590825 + 0.260170I
a = 0.609156 − 0.817765I
b = −0.097621 − 0.362191I
−1.22062 − 3.32173I 0
u = 0.590825 − 0.260170I
a = 0.609156 + 0.817765I
b = −0.097621 + 0.362191I
−1.22062 + 3.32173I 0
u = −0.751966 + 1.144240I
a = −0.800855 − 0.550420I
b = −2.16653 + 0.64148I
0.35416 − 7.94670I 0
u = −0.751966 − 1.144240I
a = −0.800855 + 0.550420I
b = −2.16653 − 0.64148I
0.35416 + 7.94670I 0
u = −0.669018 + 1.195780I
a = 0.731300 + 0.562220I
b = 2.54298 − 0.53479I
3.04062 − 12.41580I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.669018 − 1.195780I
a = 0.731300 − 0.562220I
b = 2.54298 + 0.53479I
3.04062 + 12.41580I 0
u = −0.608480 + 0.129415I
a = 1.35924 + 0.77725I
b = 1.219550 + 0.108287I
0.707710 − 0.732729I 0
u = −0.608480 − 0.129415I
a = 1.35924 − 0.77725I
b = 1.219550 − 0.108287I
0.707710 + 0.732729I 0
u = 0.58282 + 1.30799I
a = −0.349667 + 0.448965I
b = −1.97684 − 0.84151I
−1.266420 + 0.442397I 0
u = 0.58282 − 1.30799I
a = −0.349667 − 0.448965I
b = −1.97684 + 0.84151I
−1.266420 − 0.442397I 0
u = 0.023627 + 0.552633I
a = −0.83121 − 1.59692I
b = −0.517206 − 0.709252I
−0.92996 − 3.40337I −1.34435 + 7.86126I
u = 0.023627 − 0.552633I
a = −0.83121 + 1.59692I
b = −0.517206 + 0.709252I
−0.92996 + 3.40337I −1.34435 − 7.86126I
u = −0.44020 + 1.41329I
a = 0.006174 + 0.711447I
b = −0.020520 − 0.319175I
−0.31191 + 1.82866I 0
u = −0.44020 − 1.41329I
a = 0.006174 − 0.711447I
b = −0.020520 + 0.319175I
−0.31191 − 1.82866I 0
u = 0.418934 + 0.017977I
a = 1.103930 − 0.680406I
b = −0.463275 − 0.008875I
−1.67984 + 0.08020I −5.56551 + 0.56052I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.418934 − 0.017977I
a = 1.103930 + 0.680406I
b = −0.463275 + 0.008875I
−1.67984 − 0.08020I −5.56551 − 0.56052I
u = −0.310159 + 0.041589I
a = −4.05023 + 1.09117I
b = 0.319887 + 0.028448I
0.52646 − 7.49728I −1.09930 + 6.23030I
u = −0.310159 − 0.041589I
a = −4.05023 − 1.09117I
b = 0.319887 − 0.028448I
0.52646 + 7.49728I −1.09930 − 6.23030I
u = 2.46294
a = −0.344824
b = −3.18833
−0.405902 0
24
II.
I
u
2
= h1.01×10
22
u
43
−2.01×10
22
u
42
+· · ·+3.02×10
21
b−9.17×10
21
, −6.80×
10
21
u
43
+1.05×10
22
u
42
+· · ·+3.02×10
21
a−1.47×10
22
, u
44
−u
43
+· · ·−5u+1i
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
2
=
1
u
2
a
9
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
11
=
2.25485u
43
− 3.46710u
42
+ ··· − 17.5762u + 4.85688
−3.36364u
43
+ 6.65789u
42
+ ··· − 18.9533u + 3.04110
a
7
=
−5.67860u
43
− 0.875500u
42
+ ··· + 48.3036u − 12.8876
−4.89862u
43
+ 2.28005u
42
+ ··· + 2.94099u − 1.42924
a
6
=
−9.14611u
43
+ 2.97309u
42
+ ··· + 43.5343u − 11.5165
−1.29436u
43
+ 5.79279u
42
+ ··· − 23.6669u + 5.30669
a
4
=
−14.8013u
43
+ 11.0195u
42
+ ··· − 12.1993u − 4.37607
−0.140851u
43
+ 8.66600u
42
+ ··· − 51.1072u + 11.0495
a
5
=
−8.02296u
43
+ 3.95199u
42
+ ··· + 32.0598u − 9.40105
−0.634632u
43
+ 5.66057u
42
+ ··· − 25.7543u + 5.32004
a
10
=
7.73601u
43
− 17.3955u
42
+ ··· + 72.9804u − 16.7135
−6.87700u
43
− 0.695347u
42
+ ··· + 32.0321u − 7.71159
a
12
=
−11.5792u
43
+ 0.144119u
42
+ ··· − 14.8593u + 2.06672
−14.3015u
43
+ 14.2403u
42
+ ··· − 43.7714u + 6.55121
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
19574817243399657342119
689558604767318511600
u
43
+
2326857481616711218273
1379117209534637023200
u
42
+ ··· +
2815344357111933068603
172389651191829627900
u −
14325238175222837994799
1379117209534637023200
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
44
− 15u
43
+ ··· − 25u + 1
c
2
u
44
− u
43
+ ··· − 5u + 1
c
3
16(16u
44
− 332u
43
+ ··· − 56u + 1)
c
4
4(4u
44
+ 6u
43
+ ··· − 5u + 1)
c
5
u
44
+ u
43
+ ··· − 6u + 4
c
6
u
44
− u
43
+ ··· + 396u − 16
c
7
4(4u
44
− 14u
43
+ ··· − 3u + 1)
c
8
u
44
+ u
43
+ ··· + 5u + 1
c
9
u
44
− 2u
43
+ ··· − 9u + 1
c
10
4(4u
44
+ 14u
43
+ ··· + 3u + 1)
c
11
4(4u
44
− 6u
43
+ ··· − 7u + 1)
c
12
u
44
+ 4u
43
+ ··· + 90u + 20
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
44
− 37y
43
+ ··· + 65y + 1
c
2
, c
8
y
44
+ 15y
43
+ ··· + 25y + 1
c
3
256(256y
44
+ 528y
43
+ ··· − 2084y + 1)
c
4
16(16y
44
− 428y
43
+ ··· − 5y + 1)
c
5
y
44
+ 23y
43
+ ··· + 212y + 16
c
6
y
44
− y
43
+ ··· − 204208y + 256
c
7
, c
10
16(16y
44
− 476y
43
+ ··· − 49y + 1)
c
9
y
44
− 8y
43
+ ··· − 15y + 1
c
11
16(16y
44
− 204y
43
+ ··· + 31y + 1)
c
12
y
44
− 18y
43
+ ··· − 140y + 400
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.371271 + 0.933564I
a = −0.099128 − 0.465904I
b = 2.84323 − 1.88270I
−4.39505 − 5.78473I −11.15280 + 3.29334I
u = −0.371271 − 0.933564I
a = −0.099128 + 0.465904I
b = 2.84323 + 1.88270I
−4.39505 + 5.78473I −11.15280 − 3.29334I
u = −0.868502 + 0.533585I
a = −0.706178 − 0.924831I
b = −1.69870 + 0.84444I
2.60962 + 5.47274I 4.26679 − 4.58610I
u = −0.868502 − 0.533585I
a = −0.706178 + 0.924831I
b = −1.69870 − 0.84444I
2.60962 − 5.47274I 4.26679 + 4.58610I
u = −0.452736 + 0.868555I
a = −0.04550 + 1.83793I
b = 1.51191 + 0.30358I
−1.55866 − 2.24862I −12.7586 − 20.0641I
u = −0.452736 − 0.868555I
a = −0.04550 − 1.83793I
b = 1.51191 − 0.30358I
−1.55866 + 2.24862I −12.7586 + 20.0641I
u = 0.218616 + 0.937994I
a = −1.060670 − 0.020861I
b = −0.720226 − 1.049790I
−5.65782 + 0.92627I −9.42065 + 0.34783I
u = 0.218616 − 0.937994I
a = −1.060670 + 0.020861I
b = −0.720226 + 1.049790I
−5.65782 − 0.92627I −9.42065 − 0.34783I
u = 0.174515 + 0.945323I
a = −0.241156 − 1.038890I
b = −1.21511 − 0.87280I
−1.87721 − 2.59071I −5.99214 + 6.08300I
u = 0.174515 − 0.945323I
a = −0.241156 + 1.038890I
b = −1.21511 + 0.87280I
−1.87721 + 2.59071I −5.99214 − 6.08300I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.355529 + 0.865307I
a = 0.218949 + 0.469629I
b = −3.26235 + 1.87875I
−4.13022 + 2.75542I −11.05917 − 8.02015I
u = −0.355529 − 0.865307I
a = 0.218949 − 0.469629I
b = −3.26235 − 1.87875I
−4.13022 − 2.75542I −11.05917 + 8.02015I
u = −0.307190 + 1.043970I
a = −0.656067 − 0.603154I
b = −1.69247 + 0.58083I
−1.89832 − 0.93506I −3.46243 − 1.16252I
u = −0.307190 − 1.043970I
a = −0.656067 + 0.603154I
b = −1.69247 − 0.58083I
−1.89832 + 0.93506I −3.46243 + 1.16252I
u = 1.109030 + 0.023537I
a = 1.305070 + 0.358454I
b = 1.151150 − 0.039712I
2.27428 + 0.23897I 1.9428 − 36.9515I
u = 1.109030 − 0.023537I
a = 1.305070 − 0.358454I
b = 1.151150 + 0.039712I
2.27428 − 0.23897I 1.9428 + 36.9515I
u = 0.473966 + 1.010740I
a = 0.910847 − 0.614564I
b = 2.09370 − 0.43101I
−0.68850 + 10.29750I 0. − 8.49978I
u = 0.473966 − 1.010740I
a = 0.910847 + 0.614564I
b = 2.09370 + 0.43101I
−0.68850 − 10.29750I 0. + 8.49978I
u = 0.802383 + 0.802035I
a = −1.062650 + 0.499433I
b = −1.70674 − 0.95326I
2.05590 + 8.97245I 0. − 8.67985I
u = 0.802383 − 0.802035I
a = −1.062650 − 0.499433I
b = −1.70674 + 0.95326I
2.05590 − 8.97245I 0. + 8.67985I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.835861 + 0.208687I
a = 0.776714 − 0.208780I
b = 0.603861 − 0.025373I
−0.37503 − 3.25751I 11.25288 + 2.29185I
u = 0.835861 − 0.208687I
a = 0.776714 + 0.208780I
b = 0.603861 + 0.025373I
−0.37503 + 3.25751I 11.25288 − 2.29185I
u = 0.316288 + 1.097140I
a = −0.497260 + 0.816498I
b = −0.364683 + 0.812795I
−2.72758 + 4.24508I −7.33429 − 7.84499I
u = 0.316288 − 1.097140I
a = −0.497260 − 0.816498I
b = −0.364683 − 0.812795I
−2.72758 − 4.24508I −7.33429 + 7.84499I
u = 0.403585 + 0.739424I
a = 0.02273 + 1.58547I
b = 0.068795 − 0.716328I
0.33847 − 6.63406I 0.226294 + 0.452560I
u = 0.403585 − 0.739424I
a = 0.02273 − 1.58547I
b = 0.068795 + 0.716328I
0.33847 + 6.63406I 0.226294 − 0.452560I
u = −0.107452 + 1.173490I
a = −0.359808 + 0.895446I
b = −0.757067 − 0.406223I
−3.22800 + 3.49556I 0
u = −0.107452 − 1.173490I
a = −0.359808 − 0.895446I
b = −0.757067 + 0.406223I
−3.22800 − 3.49556I 0
u = 0.277229 + 1.176580I
a = −0.314237 + 0.477764I
b = −0.624124 + 0.497374I
−4.90361 + 0.13214I 0
u = 0.277229 − 1.176580I
a = −0.314237 − 0.477764I
b = −0.624124 − 0.497374I
−4.90361 − 0.13214I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.706437 + 1.016640I
a = 0.319055 + 0.396149I
b = 2.41021 − 0.70285I
−1.66785 − 7.09621I 0
u = −0.706437 − 1.016640I
a = 0.319055 − 0.396149I
b = 2.41021 + 0.70285I
−1.66785 + 7.09621I 0
u = 0.529888 + 1.151810I
a = −0.190266 + 0.360941I
b = −0.272936 + 0.239619I
−3.18849 + 8.15001I 0
u = 0.529888 − 1.151810I
a = −0.190266 − 0.360941I
b = −0.272936 − 0.239619I
−3.18849 − 8.15001I 0
u = −0.719486
a = −1.28881
b = −1.41026
0.187258 −3.38030
u = −0.676477 + 1.109260I
a = 0.798955 + 0.564107I
b = 2.61510 − 0.97587I
0.83742 − 11.23100I 0
u = −0.676477 − 1.109260I
a = 0.798955 − 0.564107I
b = 2.61510 + 0.97587I
0.83742 + 11.23100I 0
u = 0.630477 + 1.183860I
a = 0.275986 + 1.116660I
b = −0.184637 + 1.277250I
−0.98028 + 5.33973I 0
u = 0.630477 − 1.183860I
a = 0.275986 − 1.116660I
b = −0.184637 − 1.277250I
−0.98028 − 5.33973I 0
u = −0.027364 + 0.496956I
a = −1.03990 − 1.18738I
b = 0.186667 − 1.284300I
0.54351 − 4.23477I −0.19384 + 8.79344I
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.027364 − 0.496956I
a = −1.03990 + 1.18738I
b = 0.186667 + 1.284300I
0.54351 + 4.23477I −0.19384 − 8.79344I
u = 0.202704 + 0.285915I
a = 2.71010 − 1.82204I
b = −0.425693 − 0.197579I
2.40743 − 0.47915I 4.78621 + 4.22275I
u = 0.202704 − 0.285915I
a = 2.71010 + 1.82204I
b = −0.425693 + 0.197579I
2.40743 + 0.47915I 4.78621 − 4.22275I
u = −2.48368
a = −0.342364
b = −3.20953
−0.405145 0
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
44
− 15u
43
+ ··· − 25u + 1)
· (u
194
+ 76u
193
+ ··· + 17206220u + 1442401)
c
2
(u
44
− u
43
+ ··· − 5u + 1)(u
194
+ 4u
193
+ ··· + 2190u + 1201)
c
3
256(16u
44
− 332u
43
+ ··· − 56u + 1)(16u
194
+ 316u
193
+ ··· − 5u + 1)
c
4
16(4u
44
+ 6u
43
+ ··· − 5u + 1)(4u
194
+ 6u
193
+ ··· − 180u + 5)
c
5
(u
44
+ u
43
+ ··· − 6u + 4)
· (u
194
− 4u
193
+ ··· + 223613010u + 9397652)
c
6
(u
44
− u
43
+ ··· + 396u − 16)(u
194
+ 4u
192
+ ··· + 535380u + 59536)
c
7
16(4u
44
− 14u
43
+ ··· − 3u + 1)(4u
194
+ 10u
193
+ ··· − 2u + 1)
c
8
(u
44
+ u
43
+ ··· + 5u + 1)(u
194
+ 4u
193
+ ··· + 2190u + 1201)
c
9
(u
44
− 2u
43
+ ··· − 9u + 1)(u
194
− 19u
193
+ ··· − 8u + 1)
c
10
16(4u
44
+ 14u
43
+ ··· + 3u + 1)(4u
194
+ 10u
193
+ ··· − 2u + 1)
c
11
16(4u
44
− 6u
43
+ ··· − 7u + 1)(4u
194
+ 30u
193
+ ··· − 60u + 1)
c
12
(u
44
+ 4u
43
+ ··· + 90u + 20)
· (u
194
+ 9u
193
+ ··· + 38561386u + 5467612)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
44
− 37y
43
+ ··· + 65y + 1)
· (y
194
+ 20y
193
+ ··· − 483570365808132y + 2080520644801)
c
2
, c
8
(y
44
+ 15y
43
+ ··· + 25y + 1)
· (y
194
+ 76y
193
+ ··· + 17206220y + 1442401)
c
3
65536(256y
44
+ 528y
43
+ ··· − 2084y + 1)
· (256y
194
− 7920y
193
+ ··· − 805y + 1)
c
4
256(16y
44
− 428y
43
+ ··· − 5y + 1)
· (16y
194
− 476y
193
+ ··· + 350y + 25)
c
5
(y
44
+ 23y
43
+ ··· + 212y + 16)
· (y
194
+ 56y
193
+ ··· − 15147856641788764y + 88315863113104)
c
6
(y
44
− y
43
+ ··· − 204208y + 256)
· (y
194
+ 8y
193
+ ··· − 1377094192048y + 3544535296)
c
7
, c
10
256(16y
44
− 476y
43
+ ··· − 49y + 1)
· (16y
194
− 1740y
193
+ ··· − 54y + 1)
c
9
(y
44
− 8y
43
+ ··· − 15y + 1)(y
194
− 27y
193
+ ··· + 176y + 1)
c
11
256(16y
44
− 204y
43
+ ··· + 31y + 1)
· (16y
194
− 188y
193
+ ··· − 218y + 1)
c
12
(y
44
− 18y
43
+ ··· − 140y + 400)
· (y
194
+ 27y
193
+ ··· + 83542449688324y + 29894780982544)
36
