12a
0479
(K12a
0479
)
A knot diagram
1
Linearized knot diagam
3 6 11 9 8 2 10 1 12 7 4 5
Solving Sequence
2,7
6
3,11
4 12 1 10 8 9 5
c
6
c
2
c
3
c
11
c
1
c
10
c
7
c
8
c
5
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.96804 × 10
545
u
169
+ 2.05449 × 10
545
u
168
+ ··· + 3.04382 × 10
547
b − 9.96636 × 10
547
,
7.76117 × 10
548
u
169
+ 3.65178 × 10
548
u
168
+ ··· + 1.18100 × 10
550
a − 1.73137 × 10
551
,
u
170
+ u
169
+ ··· − 161u + 97i
I
u
2
= h188679637611u
37
+ 583203930928u
36
+ ··· + 19303084121b − 114942573145,
− 162853256113u
37
− 474271015058u
36
+ ··· + 19303084121a + 168572690127,
u
38
+ 4u
37
+ ··· − u + 1i
I
u
3
= hb + 1, 2a
2
− 4au + 5a − 4u + 2, u
2
− u + 1i
* 3 irreducible components of dim
C
= 0, with total 212 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
= h2.97 × 10
545
u
169
+ 2.05 × 10
545
u
168
+ · · · + 3.04 × 10
547
b − 9.97 ×
10
547
, 7.76 × 10
548
u
169
+ 3.65 × 10
548
u
168
+ · · · + 1.18 × 10
550
a − 1.73 ×
10
551
, u
170
+ u
169
+ · · · − 161u + 97i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
11
=
−0.0657169u
169
− 0.0309210u
168
+ ··· − 14.6441u + 14.6602
−0.00975105u
169
− 0.00674973u
168
+ ··· − 10.8483u + 3.27430
a
4
=
0.130093u
169
− 0.0228900u
168
+ ··· + 38.5644u − 25.8712
−0.0700178u
169
− 0.0639308u
168
+ ··· − 16.7075u + 4.79517
a
12
=
−0.0983533u
169
− 0.457517u
168
+ ··· + 16.4302u − 26.7107
−0.0737470u
169
− 0.0592229u
168
+ ··· − 23.1395u + 9.10530
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
−0.0559659u
169
− 0.0241713u
168
+ ··· − 3.79580u + 11.3859
−0.00975105u
169
− 0.00674973u
168
+ ··· − 10.8483u + 3.27430
a
8
=
−0.0613740u
169
− 0.198434u
168
+ ··· + 7.60465u − 16.2775
0.0182553u
169
+ 0.0776958u
168
+ ··· + 5.25855u + 5.73569
a
9
=
−0.0756754u
169
− 0.177887u
168
+ ··· + 1.02654u − 11.6728
0.0239517u
169
+ 0.0570506u
168
+ ··· + 10.1931u + 1.76379
a
5
=
0.119936u
169
+ 0.0216596u
168
+ ··· + 43.5327u − 20.6550
−0.0368181u
169
− 0.0402453u
168
+ ··· − 15.5079u + 7.91941
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.238835u
169
+ 0.220894u
168
+ ··· + 102.782u − 13.6065
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
170
+ 87u
169
+ ··· + 301939u + 9409
c
2
, c
6
u
170
+ u
169
+ ··· − 161u + 97
c
3
, c
11
4(4u
170
+ 14u
169
+ ··· + 1.07793 × 10
8
u + 1.77021 × 10
7
)
c
4
u
170
− 2u
169
+ ··· + 117766u + 85948
c
5
4(4u
170
− 38u
169
+ ··· − 373833u + 44333)
c
7
, c
10
u
170
− 10u
169
+ ··· + 214205u + 28225
c
8
u
170
− 4u
169
+ ··· + 550206u + 30733
c
9
u
170
− 10u
169
+ ··· − 1952u + 256
c
12
4(4u
170
− 2u
169
+ ··· − 30u + 25)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
170
+ 7y
169
+ ··· − 8189301629y + 88529281
c
2
, c
6
y
170
+ 87y
169
+ ··· + 301939y + 9409
c
3
, c
11
16
· (16y
170
− 1900y
169
+ ··· − 9315973042219045y + 313365654366769)
c
4
y
170
+ 30y
169
+ ··· + 522801654484y + 7387058704
c
5
16(16y
170
− 188y
169
+ ··· + 1.20542 × 10
11
y + 1.96541 × 10
9
)
c
7
, c
10
y
170
+ 100y
169
+ ··· − 20975614675y + 796650625
c
8
y
170
+ 58y
168
+ ··· + 46008453280y + 944517289
c
9
y
170
− 44y
169
+ ··· − 1694720y + 65536
c
12
16(16y
170
+ 116y
169
+ ··· − 32800y + 625)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.797900 + 0.612016I
a = −1.205320 − 0.076243I
b = −0.594567 − 0.841349I
1.98698 + 5.39543I 0
u = 0.797900 − 0.612016I
a = −1.205320 + 0.076243I
b = −0.594567 + 0.841349I
1.98698 − 5.39543I 0
u = −0.581441 + 0.789817I
a = 0.740097 + 0.999529I
b = 1.026310 + 0.233750I
3.21054 − 0.83988I 0
u = −0.581441 − 0.789817I
a = 0.740097 − 0.999529I
b = 1.026310 − 0.233750I
3.21054 + 0.83988I 0
u = 0.324167 + 0.967193I
a = 1.287070 − 0.516048I
b = 0.539961 − 0.833775I
−4.57220 + 0.78663I 0
u = 0.324167 − 0.967193I
a = 1.287070 + 0.516048I
b = 0.539961 + 0.833775I
−4.57220 − 0.78663I 0
u = −0.578263 + 0.842304I
a = 1.33417 + 0.49401I
b = 1.033130 − 0.495421I
3.04326 − 3.77390I 0
u = −0.578263 − 0.842304I
a = 1.33417 − 0.49401I
b = 1.033130 + 0.495421I
3.04326 + 3.77390I 0
u = −0.938898 + 0.270582I
a = −0.478572 − 0.776400I
b = 0.057674 − 0.971978I
−3.95788 − 0.27759I 0
u = −0.938898 − 0.270582I
a = −0.478572 + 0.776400I
b = 0.057674 + 0.971978I
−3.95788 + 0.27759I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.904837 + 0.493495I
a = 0.396656 − 1.299930I
b = 0.570927 − 1.291670I
−2.59121 − 5.15101I 0
u = 0.904837 − 0.493495I
a = 0.396656 + 1.299930I
b = 0.570927 + 1.291670I
−2.59121 + 5.15101I 0
u = 0.984340 + 0.309300I
a = −0.830632 + 0.932118I
b = −0.61999 + 1.30754I
−4.1593 − 14.7457I 0
u = 0.984340 − 0.309300I
a = −0.830632 − 0.932118I
b = −0.61999 − 1.30754I
−4.1593 + 14.7457I 0
u = −0.993607 + 0.292160I
a = −0.806373 − 0.762874I
b = −0.479331 − 1.176830I
−5.10233 + 6.25376I 0
u = −0.993607 − 0.292160I
a = −0.806373 + 0.762874I
b = −0.479331 + 1.176830I
−5.10233 − 6.25376I 0
u = −0.753025 + 0.590818I
a = −1.153680 + 0.005001I
b = −0.783785 + 0.318003I
3.50957 + 3.67877I 0
u = −0.753025 − 0.590818I
a = −1.153680 − 0.005001I
b = −0.783785 − 0.318003I
3.50957 − 3.67877I 0
u = −0.189212 + 1.033370I
a = 0.86744 + 2.00621I
b = −0.214291 − 0.906920I
−3.87988 + 6.39379I 0
u = −0.189212 − 1.033370I
a = 0.86744 − 2.00621I
b = −0.214291 + 0.906920I
−3.87988 − 6.39379I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.764709 + 0.724926I
a = 0.516850 + 0.808220I
b = 0.312404 + 0.909118I
0.18493 + 3.40108I 0
u = 0.764709 − 0.724926I
a = 0.516850 − 0.808220I
b = 0.312404 − 0.909118I
0.18493 − 3.40108I 0
u = 0.071613 + 1.051820I
a = −0.065299 − 0.411624I
b = −0.504294 + 0.182751I
−2.26689 + 3.03836I 0
u = 0.071613 − 1.051820I
a = −0.065299 + 0.411624I
b = −0.504294 − 0.182751I
−2.26689 − 3.03836I 0
u = 0.298186 + 0.890547I
a = 1.11379 − 2.41741I
b = 0.184850 + 1.131910I
−4.27666 + 1.72259I 0
u = 0.298186 − 0.890547I
a = 1.11379 + 2.41741I
b = 0.184850 − 1.131910I
−4.27666 − 1.72259I 0
u = 0.589456 + 0.885556I
a = −0.566367 + 0.185220I
b = −0.0880594 − 0.0569484I
0.18288 + 2.30892I 0
u = 0.589456 − 0.885556I
a = −0.566367 − 0.185220I
b = −0.0880594 + 0.0569484I
0.18288 − 2.30892I 0
u = 0.443066 + 0.970162I
a = 3.32701 − 1.34685I
b = 0.133369 + 1.031810I
−3.88542 + 2.24997I 0
u = 0.443066 − 0.970162I
a = 3.32701 + 1.34685I
b = 0.133369 − 1.031810I
−3.88542 − 2.24997I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.558615 + 0.911835I
a = 0.110603 − 1.344980I
b = 0.903116 − 0.240646I
1.69401 + 1.61828I 0
u = 0.558615 − 0.911835I
a = 0.110603 + 1.344980I
b = 0.903116 + 0.240646I
1.69401 − 1.61828I 0
u = 0.108200 + 1.073210I
a = −0.99497 + 1.66194I
b = −0.537616 − 0.876960I
−3.95331 + 6.69101I 0
u = 0.108200 − 1.073210I
a = −0.99497 − 1.66194I
b = −0.537616 + 0.876960I
−3.95331 − 6.69101I 0
u = −0.563078 + 0.924351I
a = −0.933560 − 0.706105I
b = −0.186770 + 0.972896I
−0.73731 + 1.67258I 0
u = −0.563078 − 0.924351I
a = −0.933560 + 0.706105I
b = −0.186770 − 0.972896I
−0.73731 − 1.67258I 0
u = −0.245185 + 1.055610I
a = 1.85232 + 1.00050I
b = 0.137125 + 0.134857I
−4.32005 − 7.61029I 0
u = −0.245185 − 1.055610I
a = 1.85232 − 1.00050I
b = 0.137125 − 0.134857I
−4.32005 + 7.61029I 0
u = 0.744599 + 0.500802I
a = 0.727076 − 0.905652I
b = 0.582794 + 0.114236I
−0.743385 − 0.403774I 0
u = 0.744599 − 0.500802I
a = 0.727076 + 0.905652I
b = 0.582794 − 0.114236I
−0.743385 + 0.403774I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.355278 + 1.045980I
a = 0.748821 − 0.183089I
b = −0.29888 + 1.82417I
−9.94153 + 6.24861I 0
u = 0.355278 − 1.045980I
a = 0.748821 + 0.183089I
b = −0.29888 − 1.82417I
−9.94153 − 6.24861I 0
u = −0.837717 + 0.310157I
a = 0.84255 + 1.18542I
b = 0.62352 + 1.38908I
−2.14879 + 6.34317I 0
u = −0.837717 − 0.310157I
a = 0.84255 − 1.18542I
b = 0.62352 − 1.38908I
−2.14879 − 6.34317I 0
u = −0.256258 + 1.080230I
a = −1.39431 − 1.00857I
b = −0.244455 + 1.151430I
−5.99643 + 0.32024I 0
u = −0.256258 − 1.080230I
a = −1.39431 + 1.00857I
b = −0.244455 − 1.151430I
−5.99643 − 0.32024I 0
u = −0.664018 + 0.588943I
a = −0.340450 + 0.366155I
b = −0.527929 − 0.695118I
0.24571 − 6.49472I 0
u = −0.664018 − 0.588943I
a = −0.340450 − 0.366155I
b = −0.527929 + 0.695118I
0.24571 + 6.49472I 0
u = 0.143835 + 0.875414I
a = −0.748366 + 0.585575I
b = 0.11127 − 1.76500I
−8.70323 − 4.14735I 0
u = 0.143835 − 0.875414I
a = −0.748366 − 0.585575I
b = 0.11127 + 1.76500I
−8.70323 + 4.14735I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.479555 + 1.005950I
a = 1.07109 − 1.05115I
b = 1.62018 − 0.29861I
−0.51289 + 2.95844I 0
u = 0.479555 − 1.005950I
a = 1.07109 + 1.05115I
b = 1.62018 + 0.29861I
−0.51289 − 2.95844I 0
u = −0.303965 + 1.072290I
a = −0.305215 − 0.832564I
b = 0.19823 + 1.58941I
−10.45690 + 3.20666I 0
u = −0.303965 − 1.072290I
a = −0.305215 + 0.832564I
b = 0.19823 − 1.58941I
−10.45690 − 3.20666I 0
u = −0.788641 + 0.398272I
a = −0.787345 − 0.304279I
b = −0.512828 − 1.139320I
0.98548 + 8.52323I 0
u = −0.788641 − 0.398272I
a = −0.787345 + 0.304279I
b = −0.512828 + 1.139320I
0.98548 − 8.52323I 0
u = 0.556138 + 0.684405I
a = 1.307330 + 0.368778I
b = 0.932492 + 0.460634I
2.36020 + 2.87396I 0
u = 0.556138 − 0.684405I
a = 1.307330 − 0.368778I
b = 0.932492 − 0.460634I
2.36020 − 2.87396I 0
u = 0.287574 + 1.086040I
a = −0.86628 + 1.20483I
b = −1.108920 + 0.300498I
−4.88675 − 5.93955I 0
u = 0.287574 − 1.086040I
a = −0.86628 − 1.20483I
b = −1.108920 − 0.300498I
−4.88675 + 5.93955I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.288955 + 1.095430I
a = −0.770376 − 0.680749I
b = −0.711728 − 0.397811I
−6.23313 − 0.89417I 0
u = −0.288955 − 1.095430I
a = −0.770376 + 0.680749I
b = −0.711728 + 0.397811I
−6.23313 + 0.89417I 0
u = −0.524531 + 1.009390I
a = 1.71125 + 0.72969I
b = 0.616518 − 1.234030I
0.08133 − 6.72252I 0
u = −0.524531 − 1.009390I
a = 1.71125 − 0.72969I
b = 0.616518 + 1.234030I
0.08133 + 6.72252I 0
u = 1.092180 + 0.322014I
a = 0.425727 − 0.799626I
b = 0.425931 − 1.219640I
−4.06426 − 4.39890I 0
u = 1.092180 − 0.322014I
a = 0.425727 + 0.799626I
b = 0.425931 + 1.219640I
−4.06426 + 4.39890I 0
u = 0.782014 + 0.350182I
a = −0.829518 + 0.253720I
b = −0.507864 + 0.687456I
2.36709 + 0.93458I 0
u = 0.782014 − 0.350182I
a = −0.829518 − 0.253720I
b = −0.507864 − 0.687456I
2.36709 − 0.93458I 0
u = −0.762838 + 0.370836I
a = −0.223357 + 0.417949I
b = 0.221175 + 1.120790I
−1.60542 + 2.72443I 0
u = −0.762838 − 0.370836I
a = −0.223357 − 0.417949I
b = 0.221175 − 1.120790I
−1.60542 − 2.72443I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.522825 + 1.036590I
a = −1.53788 + 1.27851I
b = −0.147718 − 1.191720I
−3.06127 + 3.60117I 0
u = 0.522825 − 1.036590I
a = −1.53788 − 1.27851I
b = −0.147718 + 1.191720I
−3.06127 − 3.60117I 0
u = 0.409625 + 1.089660I
a = −1.43363 + 0.67783I
b = 0.148888 − 1.056540I
−2.46022 + 0.64965I 0
u = 0.409625 − 1.089660I
a = −1.43363 − 0.67783I
b = 0.148888 + 1.056540I
−2.46022 − 0.64965I 0
u = 0.242632 + 0.799790I
a = −1.007850 − 0.182601I
b = 0.048707 + 0.305046I
−0.62661 + 1.66702I 0
u = 0.242632 − 0.799790I
a = −1.007850 + 0.182601I
b = 0.048707 − 0.305046I
−0.62661 − 1.66702I 0
u = 0.442524 + 0.707622I
a = 1.32453 − 3.09946I
b = 0.011320 − 0.859794I
−3.05624 + 1.44510I 0
u = 0.442524 − 0.707622I
a = 1.32453 + 3.09946I
b = 0.011320 + 0.859794I
−3.05624 − 1.44510I 0
u = −0.458777 + 1.072190I
a = 0.80972 + 1.32730I
b = 1.62176 + 0.25101I
−0.27857 − 3.46736I 0
u = −0.458777 − 1.072190I
a = 0.80972 − 1.32730I
b = 1.62176 − 0.25101I
−0.27857 + 3.46736I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.748052 + 0.913673I
a = −0.858198 − 0.618154I
b = 0.007963 − 0.816958I
−0.35136 + 2.23508I 0
u = 0.748052 − 0.913673I
a = −0.858198 + 0.618154I
b = 0.007963 + 0.816958I
−0.35136 − 2.23508I 0
u = 0.479375 + 1.097120I
a = 1.28384 − 1.19437I
b = 0.480936 + 1.318330I
−1.97390 + 6.64223I 0
u = 0.479375 − 1.097120I
a = 1.28384 + 1.19437I
b = 0.480936 − 1.318330I
−1.97390 − 6.64223I 0
u = 0.714579 + 0.967883I
a = −0.262494 + 0.333439I
b = −0.533574 + 0.650088I
0.939729 + 0.225698I 0
u = 0.714579 − 0.967883I
a = −0.262494 − 0.333439I
b = −0.533574 − 0.650088I
0.939729 − 0.225698I 0
u = −0.179060 + 1.189760I
a = −0.120570 + 0.500387I
b = 0.054796 − 1.383350I
−9.28621 − 3.63388I 0
u = −0.179060 − 1.189760I
a = −0.120570 − 0.500387I
b = 0.054796 + 1.383350I
−9.28621 + 3.63388I 0
u = 0.717469 + 0.345204I
a = −1.83471 + 0.62938I
b = −1.139240 − 0.253085I
−0.76389 − 8.50048I 0
u = 0.717469 − 0.345204I
a = −1.83471 − 0.62938I
b = −1.139240 + 0.253085I
−0.76389 + 8.50048I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.462478 + 0.645337I
a = 1.44516 − 1.77594I
b = 1.209640 + 0.408104I
0.686930 + 0.961529I 0
u = 0.462478 − 0.645337I
a = 1.44516 + 1.77594I
b = 1.209640 − 0.408104I
0.686930 − 0.961529I 0
u = −0.661629 + 1.012460I
a = −0.482788 − 0.784299I
b = −0.777423 − 0.186735I
2.27185 − 9.03357I 0
u = −0.661629 − 1.012460I
a = −0.482788 + 0.784299I
b = −0.777423 + 0.186735I
2.27185 + 9.03357I 0
u = −0.350654 + 1.160670I
a = 0.151097 − 0.031051I
b = −0.46850 − 1.34770I
−8.89411 − 1.87108I 0
u = −0.350654 − 1.160670I
a = 0.151097 + 0.031051I
b = −0.46850 + 1.34770I
−8.89411 + 1.87108I 0
u = 0.533003 + 1.090760I
a = −2.03061 + 0.02914I
b = −0.58769 − 1.44456I
−8.62938 + 0.69379I 0
u = 0.533003 − 1.090760I
a = −2.03061 − 0.02914I
b = −0.58769 + 1.44456I
−8.62938 − 0.69379I 0
u = −0.673946 + 0.391869I
a = 0.87840 + 1.62790I
b = 0.161699 + 1.298780I
−6.59860 + 5.56666I 0
u = −0.673946 − 0.391869I
a = 0.87840 − 1.62790I
b = 0.161699 − 1.298780I
−6.59860 − 5.56666I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.222326 + 1.200120I
a = −0.544275 − 0.426823I
b = 0.35792 + 1.49414I
−7.09677 + 3.17427I 0
u = −0.222326 − 1.200120I
a = −0.544275 + 0.426823I
b = 0.35792 − 1.49414I
−7.09677 − 3.17427I 0
u = 0.584103 + 1.072360I
a = 0.912962 − 0.148431I
b = 0.889643 + 0.122228I
−2.49541 + 5.46082I 0
u = 0.584103 − 1.072360I
a = 0.912962 + 0.148431I
b = 0.889643 − 0.122228I
−2.49541 − 5.46082I 0
u = −0.524962 + 0.573769I
a = 0.559200 + 0.933208I
b = 0.719452 + 1.021720I
1.42052 + 2.39897I 0
u = −0.524962 − 0.573769I
a = 0.559200 − 0.933208I
b = 0.719452 − 1.021720I
1.42052 − 2.39897I 0
u = −0.558283 + 1.096640I
a = 2.14941 + 0.02531I
b = 0.352932 − 1.321870I
−8.66214 − 10.36990I 0
u = −0.558283 − 1.096640I
a = 2.14941 − 0.02531I
b = 0.352932 + 1.321870I
−8.66214 + 10.36990I 0
u = 0.444330 + 1.150580I
a = 0.550454 − 0.908765I
b = 0.235584 + 0.910250I
−1.31002 + 4.00614I 0
u = 0.444330 − 1.150580I
a = 0.550454 + 0.908765I
b = 0.235584 − 0.910250I
−1.31002 − 4.00614I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.698563 + 0.303559I
a = −1.52209 − 0.43684I
b = −0.642632 + 0.169033I
−2.18273 + 1.84806I 0
u = −0.698563 − 0.303559I
a = −1.52209 + 0.43684I
b = −0.642632 − 0.169033I
−2.18273 − 1.84806I 0
u = −0.542878 + 1.113960I
a = −0.846315 − 0.574391I
b = −0.951921 − 0.157781I
−4.51043 − 6.60063I 0
u = −0.542878 − 1.113960I
a = −0.846315 + 0.574391I
b = −0.951921 + 0.157781I
−4.51043 + 6.60063I 0
u = −0.488115 + 1.142720I
a = 0.116192 + 0.566810I
b = 1.018510 + 0.706879I
−2.49162 − 1.01562I 0
u = −0.488115 − 1.142720I
a = 0.116192 − 0.566810I
b = 1.018510 − 0.706879I
−2.49162 + 1.01562I 0
u = 0.555676 + 1.113830I
a = −0.828629 + 0.882820I
b = −1.40069 + 0.19538I
−3.01242 + 13.36920I 0
u = 0.555676 − 1.113830I
a = −0.828629 − 0.882820I
b = −1.40069 − 0.19538I
−3.01242 − 13.36920I 0
u = −0.507903 + 1.143950I
a = −1.78311 − 0.40038I
b = −0.745818 + 1.091680I
−7.81300 − 6.22272I 0
u = −0.507903 − 1.143950I
a = −1.78311 + 0.40038I
b = −0.745818 − 1.091680I
−7.81300 + 6.22272I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.568279 + 1.117740I
a = 1.118960 + 0.429561I
b = 0.208459 − 1.395540I
−3.83582 − 7.74738I 0
u = −0.568279 − 1.117740I
a = 1.118960 − 0.429561I
b = 0.208459 + 1.395540I
−3.83582 + 7.74738I 0
u = 0.572927 + 0.476617I
a = −0.776462 − 0.195173I
b = −0.197361 + 1.005640I
−1.42999 + 0.80739I 0
u = 0.572927 − 0.476617I
a = −0.776462 + 0.195173I
b = −0.197361 − 1.005640I
−1.42999 − 0.80739I 0
u = 0.633574 + 0.384989I
a = −0.50721 + 2.06968I
b = −0.316108 + 1.361390I
−6.55594 + 3.90941I 0
u = 0.633574 − 0.384989I
a = −0.50721 − 2.06968I
b = −0.316108 − 1.361390I
−6.55594 − 3.90941I 0
u = −0.590874 + 1.114470I
a = −1.60894 − 0.89099I
b = −0.463338 + 1.264600I
−1.15200 − 13.70640I 0
u = −0.590874 − 1.114470I
a = −1.60894 + 0.89099I
b = −0.463338 − 1.264600I
−1.15200 + 13.70640I 0
u = −0.711826 + 0.173312I
a = −1.39519 − 1.35102I
b = −0.511951 − 1.061830I
−5.05072 + 1.64440I 0
u = −0.711826 − 0.173312I
a = −1.39519 + 1.35102I
b = −0.511951 + 1.061830I
−5.05072 − 1.64440I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.593114 + 1.146770I
a = −1.30748 + 0.58588I
b = −0.438195 − 0.963213I
−0.00598 + 4.24673I 0
u = 0.593114 − 1.146770I
a = −1.30748 − 0.58588I
b = −0.438195 + 0.963213I
−0.00598 − 4.24673I 0
u = −0.580835 + 1.158620I
a = 1.86499 + 0.46033I
b = 0.71219 − 1.51956I
−4.68585 − 11.59550I 0
u = −0.580835 − 1.158620I
a = 1.86499 − 0.46033I
b = 0.71219 + 1.51956I
−4.68585 + 11.59550I 0
u = 0.649848 + 1.121510I
a = 1.71533 − 0.08968I
b = 0.70949 + 1.44247I
−4.55524 + 10.87210I 0
u = 0.649848 − 1.121510I
a = 1.71533 + 0.08968I
b = 0.70949 − 1.44247I
−4.55524 − 10.87210I 0
u = −0.457191 + 1.225730I
a = 1.26129 + 0.99004I
b = 0.806811 − 0.832298I
−2.92576 − 7.55116I 0
u = −0.457191 − 1.225730I
a = 1.26129 − 0.99004I
b = 0.806811 + 0.832298I
−2.92576 + 7.55116I 0
u = −0.952578 + 0.897370I
a = −0.646386 + 0.554231I
b = −0.236070 + 0.945712I
−0.19585 − 9.51484I 0
u = −0.952578 − 0.897370I
a = −0.646386 − 0.554231I
b = −0.236070 − 0.945712I
−0.19585 + 9.51484I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.560458 + 1.192060I
a = −1.45389 − 0.12022I
b = −0.211335 + 0.913939I
−6.85253 − 5.11087I 0
u = −0.560458 − 1.192060I
a = −1.45389 + 0.12022I
b = −0.211335 − 0.913939I
−6.85253 + 5.11087I 0
u = −0.178963 + 0.657881I
a = −1.246090 − 0.567220I
b = 0.124400 + 0.680536I
−1.21731 + 1.71146I −2.59849 − 2.72947I
u = −0.178963 − 0.657881I
a = −1.246090 + 0.567220I
b = 0.124400 − 0.680536I
−1.21731 − 1.71146I −2.59849 + 2.72947I
u = −0.678705 + 0.021688I
a = 1.56894 + 0.40948I
b = 0.889409 + 0.774446I
0.51730 + 3.20764I 5.50633 − 6.34682I
u = −0.678705 − 0.021688I
a = 1.56894 − 0.40948I
b = 0.889409 − 0.774446I
0.51730 − 3.20764I 5.50633 + 6.34682I
u = −1.004630 + 0.884571I
a = 0.326637 − 0.640182I
b = −0.035148 − 0.925474I
−0.11220 + 2.55546I 0
u = −1.004630 − 0.884571I
a = 0.326637 + 0.640182I
b = −0.035148 + 0.925474I
−0.11220 − 2.55546I 0
u = 0.628013 + 1.211390I
a = −1.68884 + 0.43023I
b = −0.68524 − 1.40788I
−6.9278 + 20.5670I 0
u = 0.628013 − 1.211390I
a = −1.68884 − 0.43023I
b = −0.68524 + 1.40788I
−6.9278 − 20.5670I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.629043 + 1.216160I
a = −1.60896 − 0.38445I
b = −0.559328 + 1.269720I
−7.9270 − 12.0940I 0
u = −0.629043 − 1.216160I
a = −1.60896 + 0.38445I
b = −0.559328 − 1.269720I
−7.9270 + 12.0940I 0
u = 0.201713 + 1.379990I
a = 0.178311 − 0.286670I
b = −0.410584 + 1.334020I
−10.0134 − 10.7049I 0
u = 0.201713 − 1.379990I
a = 0.178311 + 0.286670I
b = −0.410584 − 1.334020I
−10.0134 + 10.7049I 0
u = 0.653808 + 1.247310I
a = 1.339580 − 0.271490I
b = 0.50724 + 1.35779I
−6.98360 + 10.61630I 0
u = 0.653808 − 1.247310I
a = 1.339580 + 0.271490I
b = 0.50724 − 1.35779I
−6.98360 − 10.61630I 0
u = −0.24801 + 1.43090I
a = 0.050756 + 0.315933I
b = −0.282247 − 1.199580I
−10.91830 + 1.91583I 0
u = −0.24801 − 1.43090I
a = 0.050756 − 0.315933I
b = −0.282247 + 1.199580I
−10.91830 − 1.91583I 0
u = −0.287870 + 0.421955I
a = 2.28244 + 1.53431I
b = 1.141450 − 0.300451I
1.76115 − 0.18975I 8.49328 − 2.29880I
u = −0.287870 − 0.421955I
a = 2.28244 − 1.53431I
b = 1.141450 + 0.300451I
1.76115 + 0.18975I 8.49328 + 2.29880I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.463498 + 0.134873I
a = 0.303907 + 0.104554I
b = 0.562066 − 1.026170I
0.45196 − 2.64971I 3.01854 + 5.02250I
u = 0.463498 − 0.134873I
a = 0.303907 − 0.104554I
b = 0.562066 + 1.026170I
0.45196 + 2.64971I 3.01854 − 5.02250I
u = 0.18206 + 1.50775I
a = −0.168984 + 0.249401I
b = 0.170635 − 1.206820I
−10.58600 + 0.23175I 0
u = 0.18206 − 1.50775I
a = −0.168984 − 0.249401I
b = 0.170635 + 1.206820I
−10.58600 − 0.23175I 0
u = −0.03635 + 1.51887I
a = −0.188176 − 0.971188I
b = −0.024797 + 0.753778I
−8.38946 + 0.77666I 0
u = −0.03635 − 1.51887I
a = −0.188176 + 0.971188I
b = −0.024797 − 0.753778I
−8.38946 − 0.77666I 0
u = 0.426584 + 0.163967I
a = −0.103508 + 0.801666I
b = 0.551224 − 0.341184I
1.42248 − 0.26340I 8.41844 − 0.07658I
u = 0.426584 − 0.163967I
a = −0.103508 − 0.801666I
b = 0.551224 + 0.341184I
1.42248 + 0.26340I 8.41844 + 0.07658I
u = −0.025737 + 0.360134I
a = 1.68111 + 0.63003I
b = 0.754112 − 0.960374I
0.58216 − 2.71844I −1.71807 + 7.77810I
u = −0.025737 − 0.360134I
a = 1.68111 − 0.63003I
b = 0.754112 + 0.960374I
0.58216 + 2.71844I −1.71807 − 7.77810I
21
II.
I
u
2
= h1.89×10
11
u
37
+5.83×10
11
u
36
+· · ·+1.93×10
10
b−1.15×10
11
, −1.63×
10
11
u
37
−4.74×10
11
u
36
+· · ·+1.93×10
10
a+1.69×10
11
, u
38
+4u
37
+· · ·−u+1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
11
=
8.43664u
37
+ 24.5697u
36
+ ··· + 28.4592u − 8.73294
−9.77459u
37
− 30.2130u
36
+ ··· − 16.0489u + 5.95462
a
4
=
12.5707u
37
+ 45.2070u
36
+ ··· + 23.4488u − 4.07648
−1.02109u
37
− 11.8030u
36
+ ··· + 17.3027u − 11.1936
a
12
=
−28.0164u
37
− 109.157u
36
+ ··· − 19.3581u − 9.16279
8.37249u
37
+ 20.2754u
36
+ ··· + 22.3396u − 10.6110
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
18.2112u
37
+ 54.7827u
36
+ ··· + 44.5081u − 14.6876
−9.77459u
37
− 30.2130u
36
+ ··· − 16.0489u + 5.95462
a
8
=
14.3303u
37
+ 50.7289u
36
+ ··· + 13.5226u + 4.08922
−7.41819u
37
− 25.1003u
36
+ ··· − 13.2948u + 3.73538
a
9
=
15.3896u
37
+ 56.7790u
36
+ ··· + 10.6848u + 6.12977
−7.72601u
37
− 27.6317u
36
+ ··· − 11.4640u + 2.86954
a
5
=
−7.66153u
37
− 61.7631u
36
+ ··· + 48.7066u − 41.0008
9.39558u
37
+ 55.8961u
36
+ ··· − 24.4006u + 22.3580
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
192505861283
19303084121
u
37
−
325357159564
19303084121
u
36
+ ··· −
852917232762
19303084121
u +
345841353145
19303084121
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
38
− 24u
37
+ ··· − 13u + 1
c
2
u
38
− 4u
37
+ ··· + u + 1
c
3
u
38
+ 2u
37
+ ··· + 6u + 1
c
4
u
38
+ 4u
36
+ ··· + u + 1
c
5
u
38
− 2u
37
+ ··· + 47u + 9
c
6
u
38
+ 4u
37
+ ··· − u + 1
c
7
u
38
+ 11u
37
+ ··· + 3u + 1
c
8
u
38
− 5u
37
+ ··· − 12u
2
+ 1
c
9
u
38
− 9u
37
+ ··· − 902u + 57
c
10
u
38
− 11u
37
+ ··· − 3u + 1
c
11
u
38
− 2u
37
+ ··· − 6u + 1
c
12
u
38
− 4u
37
+ ··· − u + 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
38
− 8y
37
+ ··· + 25y + 1
c
2
, c
6
y
38
+ 24y
37
+ ··· + 13y + 1
c
3
, c
11
y
38
− 18y
37
+ ··· + 6y + 1
c
4
y
38
+ 8y
37
+ ··· + 11y + 1
c
5
y
38
− 20y
37
+ ··· + 149y + 81
c
7
, c
10
y
38
+ 23y
37
+ ··· + 33y + 1
c
8
y
38
− 17y
37
+ ··· − 24y + 1
c
9
y
38
− 29y
37
+ ··· + 25094y + 3249
c
12
y
38
+ 20y
37
+ ··· − 13y + 1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.227793 + 0.985214I
a = 0.830217 + 0.930866I
b = −0.09381 − 1.72519I
−9.28726 + 3.56187I −5.47280 − 0.98431I
u = −0.227793 − 0.985214I
a = 0.830217 − 0.930866I
b = −0.09381 + 1.72519I
−9.28726 − 3.56187I −5.47280 + 0.98431I
u = 0.400059 + 0.957646I
a = 2.54637 − 2.23076I
b = 0.102355 + 1.063050I
−3.92640 + 2.08247I 11.6566 + 12.8032I
u = 0.400059 − 0.957646I
a = 2.54637 + 2.23076I
b = 0.102355 − 1.063050I
−3.92640 − 2.08247I 11.6566 − 12.8032I
u = −0.180933 + 0.940870I
a = −0.196258 − 0.154934I
b = 0.10299 + 1.65898I
−9.04652 − 5.22398I −2.79139 + 7.91230I
u = −0.180933 − 0.940870I
a = −0.196258 + 0.154934I
b = 0.10299 − 1.65898I
−9.04652 + 5.22398I −2.79139 − 7.91230I
u = −0.963963 + 0.419573I
a = −0.439408 − 1.052020I
b = −0.456677 − 1.273830I
−3.32985 + 4.94645I −2.27650 − 5.95229I
u = −0.963963 − 0.419573I
a = −0.439408 + 1.052020I
b = −0.456677 + 1.273830I
−3.32985 − 4.94645I −2.27650 + 5.95229I
u = 0.569089 + 0.652504I
a = −1.108610 − 0.378795I
b = −0.689597 − 0.744577I
1.42768 + 3.36196I 4.93419 − 8.87590I
u = 0.569089 − 0.652504I
a = −1.108610 + 0.378795I
b = −0.689597 + 0.744577I
1.42768 − 3.36196I 4.93419 + 8.87590I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.471119 + 1.050120I
a = −0.93157 − 1.17263I
b = −1.61783 − 0.25427I
−1.00243 − 3.28323I −6.45117 + 5.56716I
u = −0.471119 − 1.050120I
a = −0.93157 + 1.17263I
b = −1.61783 + 0.25427I
−1.00243 + 3.28323I −6.45117 − 5.56716I
u = −0.296451 + 1.112850I
a = 2.04494 + 1.45880I
b = 0.464775 − 0.589623I
−4.37839 − 8.33722I −5.1808 + 14.0733I
u = −0.296451 − 1.112850I
a = 2.04494 − 1.45880I
b = 0.464775 + 0.589623I
−4.37839 + 8.33722I −5.1808 − 14.0733I
u = 0.633922 + 0.993073I
a = 0.179102 + 0.590690I
b = −0.459217 + 0.645451I
0.36684 + 1.45480I 2.00000 + 2.99858I
u = 0.633922 − 0.993073I
a = 0.179102 − 0.590690I
b = −0.459217 − 0.645451I
0.36684 − 1.45480I 2.00000 − 2.99858I
u = 0.380585 + 0.724786I
a = 1.56168 − 2.34831I
b = 0.075649 − 0.860612I
−3.15578 + 1.32386I −18.5410 + 1.0007I
u = 0.380585 − 0.724786I
a = 1.56168 + 2.34831I
b = 0.075649 + 0.860612I
−3.15578 − 1.32386I −18.5410 − 1.0007I
u = 0.437946 + 1.116520I
a = −1.14341 + 1.03051I
b = −0.555971 − 1.121700I
−1.34571 + 5.64971I 2.00000 − 5.92168I
u = 0.437946 − 1.116520I
a = −1.14341 − 1.03051I
b = −0.555971 + 1.121700I
−1.34571 − 5.64971I 2.00000 + 5.92168I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.793144 + 0.915710I
a = −0.067621 + 0.266521I
b = 0.124461 − 0.393754I
0.65406 − 8.60193I 2.00000 + 6.36713I
u = −0.793144 − 0.915710I
a = −0.067621 − 0.266521I
b = 0.124461 + 0.393754I
0.65406 + 8.60193I 2.00000 − 6.36713I
u = −0.895917 + 0.836843I
a = −0.289206 − 0.225937I
b = 0.010372 + 0.478701I
0.92266 + 2.38647I 5.65651 − 3.27621I
u = −0.895917 − 0.836843I
a = −0.289206 + 0.225937I
b = 0.010372 − 0.478701I
0.92266 − 2.38647I 5.65651 + 3.27621I
u = −0.222203 + 0.737834I
a = 0.91018 + 3.15056I
b = 0.442664 + 0.385099I
−2.87969 + 6.10346I 3.74850 − 3.36313I
u = −0.222203 − 0.737834I
a = 0.91018 − 3.15056I
b = 0.442664 − 0.385099I
−2.87969 − 6.10346I 3.74850 + 3.36313I
u = −0.430119 + 0.544778I
a = −1.66298 − 1.78875I
b = −1.226650 + 0.295172I
0.658678 − 0.575671I 3.17990 − 6.73035I
u = −0.430119 − 0.544778I
a = −1.66298 + 1.78875I
b = −1.226650 − 0.295172I
0.658678 + 0.575671I 3.17990 + 6.73035I
u = −0.634137 + 1.158870I
a = −1.65646 − 0.19354I
b = −0.56518 + 1.44412I
−5.65451 − 10.73770I 0. + 8.36519I
u = −0.634137 − 1.158870I
a = −1.65646 + 0.19354I
b = −0.56518 − 1.44412I
−5.65451 + 10.73770I 0. − 8.36519I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.340228 + 0.512922I
a = −0.533833 + 0.359461I
b = −0.749882 + 0.955481I
0.75547 − 2.16837I 1.08781 − 3.45424I
u = 0.340228 − 0.512922I
a = −0.533833 − 0.359461I
b = −0.749882 − 0.955481I
0.75547 + 2.16837I 1.08781 + 3.45424I
u = −0.10403 + 1.47220I
a = 0.033057 + 0.275699I
b = −0.161110 − 1.184180I
−10.17160 + 1.54934I 0
u = −0.10403 − 1.47220I
a = 0.033057 − 0.275699I
b = −0.161110 + 1.184180I
−10.17160 − 1.54934I 0
u = 0.448947 + 0.211092I
a = 1.97228 − 1.39068I
b = −0.167223 − 0.872510I
−3.02903 + 0.84919I 1.81938 − 1.88427I
u = 0.448947 − 0.211092I
a = 1.97228 + 1.39068I
b = −0.167223 + 0.872510I
−3.02903 − 0.84919I 1.81938 + 1.88427I
u = 0.00903 + 1.50680I
a = −0.048488 − 1.046900I
b = −0.080116 + 0.765784I
−8.44080 + 0.56887I 0
u = 0.00903 − 1.50680I
a = −0.048488 + 1.046900I
b = −0.080116 − 0.765784I
−8.44080 − 0.56887I 0
30
III. I
u
3
= hb + 1, 2a
2
− 4au + 5a − 4u + 2, u
2
− u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u − 1
a
3
=
u
u − 1
a
11
=
a
−1
a
4
=
3
2
au −
1
2
a + 2u + 1
au − a + 2u − 1
a
12
=
1
4
au +
1
2
u
−
1
2
au − 1
a
1
=
−1
0
a
10
=
a + 1
−1
a
8
=
a + 2
−1
a
9
=
a + 1
−1
a
5
=
3
2
au −
5
2
a + 3u − 2
−au + a − u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
45
8
au −
15
8
a −
29
4
u +
7
4
31
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
(u
2
− u + 1)
2
c
2
(u
2
+ u + 1)
2
c
3
4(4u
4
+ 2u
3
− 3u
2
− u + 1)
c
4
u
4
− u
3
− 3u
2
+ 2u + 4
c
5
4(4u
4
− 6u
3
+ 3u
2
+ 3)
c
7
, c
8
(u + 1)
4
c
9
u
4
c
10
(u − 1)
4
c
11
, c
12
4(4u
4
− 2u
3
− 3u
2
+ u + 1)
32
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
(y
2
+ y + 1)
2
c
3
, c
11
, c
12
16(16y
4
− 28y
3
+ 21y
2
− 7y + 1)
c
4
y
4
− 7y
3
+ 21y
2
− 28y + 16
c
5
16(16y
4
− 12y
3
+ 33y
2
+ 18y + 9)
c
7
, c
8
, c
10
(y −1)
4
c
9
y
4
33
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = −1.127070 + 0.291846I
b = −1.00000
1.64493 + 2.02988I 4.82984 − 2.15631I
u = 0.500000 + 0.866025I
a = −0.37293 + 1.44021I
b = −1.00000
1.64493 + 2.02988I 6.88891 − 11.21296I
u = 0.500000 − 0.866025I
a = −1.127070 − 0.291846I
b = −1.00000
1.64493 − 2.02988I 4.82984 + 2.15631I
u = 0.500000 − 0.866025I
a = −0.37293 − 1.44021I
b = −1.00000
1.64493 − 2.02988I 6.88891 + 11.21296I
34
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
2
)(u
38
− 24u
37
+ ··· − 13u + 1)
· (u
170
+ 87u
169
+ ··· + 301939u + 9409)
c
2
((u
2
+ u + 1)
2
)(u
38
− 4u
37
+ ··· + u + 1)(u
170
+ u
169
+ ··· − 161u + 97)
c
3
16(4u
4
+ 2u
3
+ ··· − u + 1)(u
38
+ 2u
37
+ ··· + 6u + 1)
· (4u
170
+ 14u
169
+ ··· + 107793203u + 17702137)
c
4
(u
4
− u
3
− 3u
2
+ 2u + 4)(u
38
+ 4u
36
+ ··· + u + 1)
· (u
170
− 2u
169
+ ··· + 117766u + 85948)
c
5
16(4u
4
− 6u
3
+ 3u
2
+ 3)(u
38
− 2u
37
+ ··· + 47u + 9)
· (4u
170
− 38u
169
+ ··· − 373833u + 44333)
c
6
((u
2
− u + 1)
2
)(u
38
+ 4u
37
+ ··· − u + 1)(u
170
+ u
169
+ ··· − 161u + 97)
c
7
((u + 1)
4
)(u
38
+ 11u
37
+ ··· + 3u + 1)
· (u
170
− 10u
169
+ ··· + 214205u + 28225)
c
8
((u + 1)
4
)(u
38
− 5u
37
+ ··· − 12u
2
+ 1)
· (u
170
− 4u
169
+ ··· + 550206u + 30733)
c
9
u
4
(u
38
− 9u
37
+ ··· − 902u + 57)(u
170
− 10u
169
+ ··· − 1952u + 256)
c
10
((u − 1)
4
)(u
38
− 11u
37
+ ··· − 3u + 1)
· (u
170
− 10u
169
+ ··· + 214205u + 28225)
c
11
16(4u
4
− 2u
3
+ ··· + u + 1)(u
38
− 2u
37
+ ··· − 6u + 1)
· (4u
170
+ 14u
169
+ ··· + 107793203u + 17702137)
c
12
16(4u
4
− 2u
3
+ ··· + u + 1)(u
38
− 4u
37
+ ··· − u + 1)
· (4u
170
− 2u
169
+ ··· − 30u + 25)
35
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
2
)(y
38
− 8y
37
+ ··· + 25y + 1)
· (y
170
+ 7y
169
+ ··· − 8189301629y + 88529281)
c
2
, c
6
((y
2
+ y + 1)
2
)(y
38
+ 24y
37
+ ··· + 13y + 1)
· (y
170
+ 87y
169
+ ··· + 301939y + 9409)
c
3
, c
11
256(16y
4
− 28y
3
+ ··· − 7y + 1)(y
38
− 18y
37
+ ··· + 6y + 1)
· (16y
170
− 1900y
169
+ ··· − 9315973042219045y + 313365654366769)
c
4
(y
4
− 7y
3
+ 21y
2
− 28y + 16)(y
38
+ 8y
37
+ ··· + 11y + 1)
· (y
170
+ 30y
169
+ ··· + 522801654484y + 7387058704)
c
5
256(16y
4
− 12y
3
+ ··· + 18y + 9)(y
38
− 20y
37
+ ··· + 149y + 81)
· (16y
170
− 188y
169
+ ··· + 120542117671y + 1965414889)
c
7
, c
10
((y −1)
4
)(y
38
+ 23y
37
+ ··· + 33y + 1)
· (y
170
+ 100y
169
+ ··· − 20975614675y + 796650625)
c
8
((y −1)
4
)(y
38
− 17y
37
+ ··· − 24y + 1)
· (y
170
+ 58y
168
+ ··· + 46008453280y + 944517289)
c
9
y
4
(y
38
− 29y
37
+ ··· + 25094y + 3249)
· (y
170
− 44y
169
+ ··· − 1694720y + 65536)
c
12
256(16y
4
− 28y
3
+ ··· − 7y + 1)(y
38
+ 20y
37
+ ··· − 13y + 1)
· (16y
170
+ 116y
169
+ ··· − 32800y + 625)
36
