12a
0296
(K12a
0296
)
A knot diagram
1
Linearized knot diagam
3 6 8 10 2 12 5 1 11 4 7 9
Solving Sequence
4,10 5,7
8 11 12 3 6 2 9 1
c
4
c
7
c
10
c
11
c
3
c
6
c
2
c
9
c
12
c
1
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h5.66805 × 10
409
u
150
+ 7.51787 × 10
409
u
149
+ ··· + 5.35159 × 10
409
b + 1.77240 × 10
412
,
3.44011 × 10
410
u
150
+ 6.49333 × 10
411
u
149
+ ··· + 8.37524 × 10
411
a + 1.88098 × 10
414
,
u
151
+ u
150
+ ··· + 342u + 313i
I
u
2
= h−258384u
35
− 345517u
34
+ ··· + 229205b + 43500,
− 1983831u
35
− 980862u
34
+ ··· + 229205a + 169836, u
36
+ 11u
34
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 187 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
= h5.67 × 10
409
u
150
+ 7.52 × 10
409
u
149
+ · · · + 5.35 × 10
409
b + 1.77 ×
10
412
, 3.44 × 10
410
u
150
+ 6.49 × 10
411
u
149
+ · · · + 8.38 × 10
411
a + 1.88 ×
10
414
, u
151
+ u
150
+ · · · + 342u + 313i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
5
=
1
−u
2
a
7
=
−0.0410748u
150
− 0.775301u
149
+ ··· − 172.627u − 224.588
−1.05913u
150
− 1.40479u
149
+ ··· − 523.215u − 331.192
a
8
=
0.682596u
150
+ 0.0126601u
149
+ ··· + 86.6262u − 123.209
−0.600054u
150
− 1.12759u
149
+ ··· − 274.719u − 311.069
a
11
=
u
u
a
12
=
1.15095u
150
+ 2.01915u
149
+ ··· + 397.900u + 529.928
1.33205u
150
+ 0.776008u
149
+ ··· + 461.621u + 106.637
a
3
=
−1.25934u
150
− 2.29137u
149
+ ··· − 702.103u − 832.025
−1.59595u
150
− 0.488422u
149
+ ··· − 622.825u − 281.236
a
6
=
−3.08072u
150
− 0.428415u
149
+ ··· − 1135.73u + 47.9606
0.461189u
150
+ 2.50390u
149
+ ··· + 125.479u + 745.681
a
2
=
−0.685011u
150
− 2.74856u
149
+ ··· − 331.641u − 1006.45
−2.28481u
150
− 1.01482u
149
+ ··· − 661.078u − 346.871
a
9
=
u
3
u
3
+ u
a
1
=
1.36356u
150
+ 2.27678u
149
+ ··· + 499.452u + 599.666
1.46366u
150
+ 0.729837u
149
+ ··· + 487.027u + 58.9669
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.91848u
150
+ 2.19523u
149
+ ··· − 604.970u + 711.664
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
151
+ 67u
150
+ ··· + 52840u + 1156
c
2
, c
5
u
151
+ 3u
150
+ ··· + 70u + 34
c
3
u
151
+ u
150
+ ··· − 179023038u + 197503417
c
4
, c
10
u
151
+ u
150
+ ··· + 342u + 313
c
6
, c
11
u
151
− 2u
150
+ ··· + 21021u + 2741
c
7
u
151
− 3u
150
+ ··· − 33752u + 4808
c
8
, c
12
u
151
− 4u
150
+ ··· + 20182265u − 3589991
c
9
u
151
+ 69u
150
+ ··· − 1865578u − 97969
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
151
+ 53y
150
+ ··· + 332733400y −1336336
c
2
, c
5
y
151
− 67y
150
+ ··· + 52840y −1156
c
3
y
151
+ 49y
150
+ ··· − 1753792917130715680y −39007599726675889
c
4
, c
10
y
151
+ 69y
150
+ ··· − 1865578y −97969
c
6
, c
11
y
151
+ 88y
150
+ ··· − 10437379y −7513081
c
7
y
151
+ 5y
150
+ ··· − 2044025440y −23116864
c
8
, c
12
y
151
+ 112y
150
+ ··· + 15695522090649y −12888035380081
c
9
y
151
+ 45y
150
+ ··· + 55326840498y −9597924961
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.474471 + 0.873042I
a = 0.512707 + 0.384642I
b = −0.771309 − 0.474519I
−0.82739 + 1.93508I 0
u = 0.474471 − 0.873042I
a = 0.512707 − 0.384642I
b = −0.771309 + 0.474519I
−0.82739 − 1.93508I 0
u = −0.793266 + 0.594543I
a = 0.251952 − 0.851259I
b = 1.40537 − 0.59930I
7.82453 + 1.40406I 0
u = −0.793266 − 0.594543I
a = 0.251952 + 0.851259I
b = 1.40537 + 0.59930I
7.82453 − 1.40406I 0
u = −0.451572 + 0.903425I
a = −0.621995 − 0.489425I
b = 1.06047 − 1.11575I
−4.24254 − 5.82195I 0
u = −0.451572 − 0.903425I
a = −0.621995 + 0.489425I
b = 1.06047 + 1.11575I
−4.24254 + 5.82195I 0
u = 0.927233 + 0.342795I
a = −0.334731 − 1.190830I
b = −0.553144 − 0.137294I
6.16809 − 2.14866I 0
u = 0.927233 − 0.342795I
a = −0.334731 + 1.190830I
b = −0.553144 + 0.137294I
6.16809 + 2.14866I 0
u = 0.737063 + 0.707878I
a = −0.610291 − 0.635214I
b = −1.312400 − 0.070924I
1.72737 + 0.02413I 0
u = 0.737063 − 0.707878I
a = −0.610291 + 0.635214I
b = −1.312400 + 0.070924I
1.72737 − 0.02413I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.316666 + 0.978460I
a = −0.191521 + 0.203636I
b = −1.116310 + 0.715770I
−3.26500 + 0.51006I 0
u = −0.316666 − 0.978460I
a = −0.191521 − 0.203636I
b = −1.116310 − 0.715770I
−3.26500 − 0.51006I 0
u = −0.442710 + 0.864175I
a = −1.295650 + 0.450112I
b = 0.123810 − 0.822726I
−4.09724 + 2.16696I 0
u = −0.442710 − 0.864175I
a = −1.295650 − 0.450112I
b = 0.123810 + 0.822726I
−4.09724 − 2.16696I 0
u = 0.508828 + 0.906414I
a = −0.10915 + 1.66142I
b = 1.02960 + 1.70785I
−0.49711 + 2.42487I 0
u = 0.508828 − 0.906414I
a = −0.10915 − 1.66142I
b = 1.02960 − 1.70785I
−0.49711 − 2.42487I 0
u = 0.548119 + 0.785240I
a = 0.92797 + 2.12640I
b = 0.365678 + 1.130790I
3.67115 + 1.16083I 0
u = 0.548119 − 0.785240I
a = 0.92797 − 2.12640I
b = 0.365678 − 1.130790I
3.67115 − 1.16083I 0
u = 0.781119 + 0.549041I
a = 1.69037 + 0.84542I
b = 1.356120 − 0.381605I
−1.19409 − 6.92765I 0
u = 0.781119 − 0.549041I
a = 1.69037 − 0.84542I
b = 1.356120 + 0.381605I
−1.19409 + 6.92765I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.761065 + 0.569162I
a = −0.289601 − 0.949167I
b = −1.58043 − 0.59088I
6.17789 − 7.03600I 0
u = 0.761065 − 0.569162I
a = −0.289601 + 0.949167I
b = −1.58043 + 0.59088I
6.17789 + 7.03600I 0
u = −0.571975 + 0.758368I
a = −1.28541 + 2.15458I
b = −0.826032 + 1.091150I
3.38255 + 4.28918I 0
u = −0.571975 − 0.758368I
a = −1.28541 − 2.15458I
b = −0.826032 − 1.091150I
3.38255 − 4.28918I 0
u = 0.953584 + 0.452558I
a = −0.957086 − 0.978019I
b = −1.067800 + 0.298408I
5.61640 − 7.63906I 0
u = 0.953584 − 0.452558I
a = −0.957086 + 0.978019I
b = −1.067800 − 0.298408I
5.61640 + 7.63906I 0
u = −0.951985 + 0.463196I
a = 1.07721 − 0.92464I
b = 1.169770 + 0.411050I
3.6440 + 13.6826I 0
u = −0.951985 − 0.463196I
a = 1.07721 + 0.92464I
b = 1.169770 − 0.411050I
3.6440 − 13.6826I 0
u = 0.551144 + 0.909541I
a = −1.45083 − 0.15962I
b = −2.44526 − 0.45996I
3.26755 + 3.25793I 0
u = 0.551144 − 0.909541I
a = −1.45083 + 0.15962I
b = −2.44526 + 0.45996I
3.26755 − 3.25793I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.412814 + 0.980119I
a = 0.653326 − 1.178330I
b = 0.432077 − 0.717779I
−3.62042 − 2.96152I 0
u = −0.412814 − 0.980119I
a = 0.653326 + 1.178330I
b = 0.432077 + 0.717779I
−3.62042 + 2.96152I 0
u = 0.831039 + 0.420934I
a = 1.153850 + 0.607253I
b = 0.829307 − 0.438555I
−3.67787 − 0.37702I 0
u = 0.831039 − 0.420934I
a = 1.153850 − 0.607253I
b = 0.829307 + 0.438555I
−3.67787 + 0.37702I 0
u = 0.402512 + 0.838213I
a = 0.85062 + 2.08316I
b = 1.55326 + 2.26765I
2.26665 + 1.02679I 0
u = 0.402512 − 0.838213I
a = 0.85062 − 2.08316I
b = 1.55326 − 2.26765I
2.26665 − 1.02679I 0
u = 0.458187 + 0.807509I
a = −0.967115 − 0.624888I
b = −0.775263 + 0.177040I
−0.10234 + 1.58460I 0
u = 0.458187 − 0.807509I
a = −0.967115 + 0.624888I
b = −0.775263 − 0.177040I
−0.10234 − 1.58460I 0
u = −0.384329 + 0.838899I
a = −1.39369 + 1.82790I
b = −2.05745 + 2.10913I
1.59989 + 4.49351I 0
u = −0.384329 − 0.838899I
a = −1.39369 − 1.82790I
b = −2.05745 − 2.10913I
1.59989 − 4.49351I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.566433 + 0.922762I
a = 1.62558 − 0.65144I
b = 2.62581 − 0.85823I
2.86219 − 8.83845I 0
u = −0.566433 − 0.922762I
a = 1.62558 + 0.65144I
b = 2.62581 + 0.85823I
2.86219 + 8.83845I 0
u = −0.544668 + 0.937082I
a = 0.33045 + 1.82215I
b = −1.08632 + 1.82631I
−3.25683 − 6.59898I 0
u = −0.544668 − 0.937082I
a = 0.33045 − 1.82215I
b = −1.08632 − 1.82631I
−3.25683 + 6.59898I 0
u = −0.132446 + 0.902974I
a = 0.296562 − 0.717533I
b = 0.1049760 + 0.0824951I
−1.63554 + 1.89252I 0
u = −0.132446 − 0.902974I
a = 0.296562 + 0.717533I
b = 0.1049760 − 0.0824951I
−1.63554 − 1.89252I 0
u = 0.048921 + 1.087830I
a = −0.119600 − 0.697417I
b = 1.100040 − 0.368295I
−6.66386 − 5.59825I 0
u = 0.048921 − 1.087830I
a = −0.119600 + 0.697417I
b = 1.100040 + 0.368295I
−6.66386 + 5.59825I 0
u = −0.140258 + 1.087210I
a = −0.038523 − 0.522724I
b = −1.089290 − 0.170182I
−4.45497 + 0.69112I 0
u = −0.140258 − 1.087210I
a = −0.038523 + 0.522724I
b = −1.089290 + 0.170182I
−4.45497 − 0.69112I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.464927 + 0.994656I
a = 0.414265 + 1.179120I
b = −0.78846 + 1.57115I
−3.76961 + 0.60957I 0
u = −0.464927 − 0.994656I
a = 0.414265 − 1.179120I
b = −0.78846 − 1.57115I
−3.76961 − 0.60957I 0
u = −0.855550 + 0.282549I
a = 0.010641 − 1.344350I
b = 0.302029 − 0.352092I
4.70492 − 4.13948I 0
u = −0.855550 − 0.282549I
a = 0.010641 + 1.344350I
b = 0.302029 + 0.352092I
4.70492 + 4.13948I 0
u = −1.009090 + 0.452748I
a = 0.704419 − 0.716320I
b = 0.695608 + 0.427520I
−1.37475 + 4.86053I 0
u = −1.009090 − 0.452748I
a = 0.704419 + 0.716320I
b = 0.695608 − 0.427520I
−1.37475 − 4.86053I 0
u = 0.541010 + 0.967238I
a = −1.31671 − 1.02937I
b = −1.45108 − 0.36757I
1.30964 + 2.64836I 0
u = 0.541010 − 0.967238I
a = −1.31671 + 1.02937I
b = −1.45108 + 0.36757I
1.30964 − 2.64836I 0
u = −0.705283 + 0.540449I
a = −1.53800 + 1.15103I
b = −1.259660 − 0.094042I
0.26107 + 2.23697I 0
u = −0.705283 − 0.540449I
a = −1.53800 − 1.15103I
b = −1.259660 + 0.094042I
0.26107 − 2.23697I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.051334 + 0.879866I
a = 1.51050 + 1.61183I
b = 1.199650 + 0.493145I
1.03386 − 6.56772I 0
u = 0.051334 − 0.879866I
a = 1.51050 − 1.61183I
b = 1.199650 − 0.493145I
1.03386 + 6.56772I 0
u = 0.745115 + 0.841343I
a = −0.50967 + 1.49279I
b = 0.22601 + 1.53204I
4.33844 + 0.03761I 0
u = 0.745115 − 0.841343I
a = −0.50967 − 1.49279I
b = 0.22601 − 1.53204I
4.33844 − 0.03761I 0
u = −0.584720 + 0.647508I
a = 1.215620 − 0.312693I
b = 0.738515 + 0.912718I
−2.45409 + 2.12119I 0
u = −0.584720 − 0.647508I
a = 1.215620 + 0.312693I
b = 0.738515 − 0.912718I
−2.45409 − 2.12119I 0
u = −0.296135 + 1.090290I
a = 0.774456 − 0.407724I
b = −0.031499 + 0.435412I
−2.54988 − 2.02656I 0
u = −0.296135 − 1.090290I
a = 0.774456 + 0.407724I
b = −0.031499 − 0.435412I
−2.54988 + 2.02656I 0
u = 0.468149 + 1.029350I
a = −0.27702 − 1.53152I
b = −1.67840 − 1.39047I
−3.15209 + 4.37410I 0
u = 0.468149 − 1.029350I
a = −0.27702 + 1.53152I
b = −1.67840 + 1.39047I
−3.15209 − 4.37410I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.386899 + 1.077930I
a = −0.809350 + 0.434803I
b = 0.298507 + 1.117330I
−3.58088 + 2.37182I 0
u = 0.386899 − 1.077930I
a = −0.809350 − 0.434803I
b = 0.298507 − 1.117330I
−3.58088 − 2.37182I 0
u = −0.928204 + 0.675924I
a = −0.012265 − 0.446483I
b = 0.717089 − 0.590293I
6.96765 − 2.40079I 0
u = −0.928204 − 0.675924I
a = −0.012265 + 0.446483I
b = 0.717089 + 0.590293I
6.96765 + 2.40079I 0
u = −0.528979 + 1.025560I
a = 1.32538 − 1.25511I
b = 1.62615 − 0.72192I
0.57294 − 7.71347I 0
u = −0.528979 − 1.025560I
a = 1.32538 + 1.25511I
b = 1.62615 + 0.72192I
0.57294 + 7.71347I 0
u = −0.775368 + 0.857355I
a = 0.85589 + 1.35151I
b = 0.20072 + 1.59593I
4.69840 − 4.53340I 0
u = −0.775368 − 0.857355I
a = 0.85589 − 1.35151I
b = 0.20072 − 1.59593I
4.69840 + 4.53340I 0
u = 0.325310 + 1.109990I
a = −0.973193 − 0.167198I
b = −0.020866 + 0.696139I
−2.90231 − 2.15076I 0
u = 0.325310 − 1.109990I
a = −0.973193 + 0.167198I
b = −0.020866 − 0.696139I
−2.90231 + 2.15076I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.646470 + 0.972678I
a = 0.58034 + 1.48762I
b = 1.22462 + 0.71265I
0.89294 + 5.25681I 0
u = 0.646470 − 0.972678I
a = 0.58034 − 1.48762I
b = 1.22462 − 0.71265I
0.89294 − 5.25681I 0
u = 0.760011 + 0.890975I
a = −1.35356 + 0.43862I
b = −1.13150 + 1.02720I
4.20823 + 5.66146I 0
u = 0.760011 − 0.890975I
a = −1.35356 − 0.43862I
b = −1.13150 − 1.02720I
4.20823 − 5.66146I 0
u = −0.556115 + 1.039740I
a = 0.73428 − 1.53215I
b = 1.80185 − 1.49525I
−1.54558 − 6.69820I 0
u = −0.556115 − 1.039740I
a = 0.73428 + 1.53215I
b = 1.80185 + 1.49525I
−1.54558 + 6.69820I 0
u = −0.778236 + 0.887472I
a = 1.31208 + 0.83308I
b = 0.90434 + 1.35260I
4.61518 − 1.30915I 0
u = −0.778236 − 0.887472I
a = 1.31208 − 0.83308I
b = 0.90434 − 1.35260I
4.61518 + 1.30915I 0
u = 0.296578 + 0.763696I
a = 1.55547 + 1.60460I
b = 0.913791 + 0.108180I
−1.82920 − 1.04776I 0
u = 0.296578 − 0.763696I
a = 1.55547 − 1.60460I
b = 0.913791 − 0.108180I
−1.82920 + 1.04776I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.431127 + 1.100710I
a = 1.33543 − 0.85526I
b = 1.63607 − 0.86363I
0.68491 − 7.54241I 0
u = −0.431127 − 1.100710I
a = 1.33543 + 0.85526I
b = 1.63607 + 0.86363I
0.68491 + 7.54241I 0
u = 0.063084 + 0.808782I
a = −1.59362 + 1.56116I
b = −1.118110 + 0.724853I
2.05138 + 1.42523I 0
u = 0.063084 − 0.808782I
a = −1.59362 − 1.56116I
b = −1.118110 − 0.724853I
2.05138 − 1.42523I 0
u = 1.012030 + 0.632806I
a = 0.263018 − 0.371350I
b = −0.429591 − 0.761199I
4.56359 + 8.17825I 0
u = 1.012030 − 0.632806I
a = 0.263018 + 0.371350I
b = −0.429591 + 0.761199I
4.56359 − 8.17825I 0
u = 0.492653 + 1.092460I
a = −0.55359 − 1.92281I
b = −1.80725 − 1.50696I
−1.83873 + 9.56208I 0
u = 0.492653 − 1.092460I
a = −0.55359 + 1.92281I
b = −1.80725 + 1.50696I
−1.83873 − 9.56208I 0
u = −0.516744 + 1.091770I
a = 0.76071 − 1.84542I
b = 1.85800 − 1.42345I
−1.13845 − 5.26178I 0
u = −0.516744 − 1.091770I
a = 0.76071 + 1.84542I
b = 1.85800 + 1.42345I
−1.13845 + 5.26178I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.639338 + 1.041040I
a = 1.18451 + 1.31208I
b = 1.53270 + 0.19262I
4.75823 + 12.35290I 0
u = 0.639338 − 1.041040I
a = 1.18451 − 1.31208I
b = 1.53270 − 0.19262I
4.75823 − 12.35290I 0
u = −0.626222 + 1.052010I
a = 0.64241 − 1.82064I
b = 1.66123 − 1.91892I
−1.25526 − 7.39642I 0
u = −0.626222 − 1.052010I
a = 0.64241 + 1.82064I
b = 1.66123 + 1.91892I
−1.25526 + 7.39642I 0
u = −0.661607 + 1.035990I
a = −1.04546 + 1.14662I
b = −1.337950 + 0.157150I
6.48776 − 6.88133I 0
u = −0.661607 − 1.035990I
a = −1.04546 − 1.14662I
b = −1.337950 − 0.157150I
6.48776 + 6.88133I 0
u = −0.586759 + 0.484276I
a = −1.22401 + 1.43594I
b = −1.018950 + 0.062747I
0.05947 + 2.10566I 0
u = −0.586759 − 0.484276I
a = −1.22401 − 1.43594I
b = −1.018950 − 0.062747I
0.05947 − 2.10566I 0
u = 0.111647 + 1.234800I
a = −0.130699 − 0.270610I
b = 0.886147 − 0.189061I
−9.23438 + 2.25066I 0
u = 0.111647 − 1.234800I
a = −0.130699 + 0.270610I
b = 0.886147 + 0.189061I
−9.23438 − 2.25066I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.569143 + 0.502959I
a = 0.11282 + 1.42991I
b = 0.851864 + 0.957838I
2.58773 + 1.73135I 0
u = 0.569143 − 0.502959I
a = 0.11282 − 1.42991I
b = 0.851864 − 0.957838I
2.58773 − 1.73135I 0
u = 0.653521 + 1.062710I
a = −0.46809 − 1.97020I
b = −1.50458 − 2.12568I
−2.73128 + 12.36150I 0
u = 0.653521 − 1.062710I
a = −0.46809 + 1.97020I
b = −1.50458 + 2.12568I
−2.73128 − 12.36150I 0
u = −0.618743 + 0.426002I
a = −0.37059 + 1.37733I
b = −1.073210 + 0.665006I
2.31255 + 3.21226I 0
u = −0.618743 − 0.426002I
a = −0.37059 − 1.37733I
b = −1.073210 − 0.665006I
2.31255 − 3.21226I 0
u = 0.371040 + 1.208050I
a = −0.952201 − 0.292784I
b = −1.35102 − 0.51279I
1.20659 + 1.56713I 0
u = 0.371040 − 1.208050I
a = −0.952201 + 0.292784I
b = −1.35102 + 0.51279I
1.20659 − 1.56713I 0
u = −0.764599 + 1.007190I
a = −0.438580 + 0.583610I
b = −0.503982 + 0.067186I
5.95422 − 3.76916I 0
u = −0.764599 − 1.007190I
a = −0.438580 − 0.583610I
b = −0.503982 − 0.067186I
5.95422 + 3.76916I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.628353 + 1.119320I
a = −0.28989 − 1.52139I
b = −1.16322 − 1.70832I
−5.75637 + 5.81934I 0
u = 0.628353 − 1.119320I
a = −0.28989 + 1.52139I
b = −1.16322 + 1.70832I
−5.75637 − 5.81934I 0
u = −0.588374 + 0.357615I
a = 1.137030 − 0.352905I
b = 0.147481 + 1.082150I
−1.97680 − 4.61514I −4.00000 + 6.35336I
u = −0.588374 − 0.357615I
a = 1.137030 + 0.352905I
b = 0.147481 − 1.082150I
−1.97680 + 4.61514I −4.00000 − 6.35336I
u = −0.018154 + 1.328590I
a = −0.117418 + 0.353788I
b = 0.783836 − 0.004095I
−3.03686 + 10.80110I 0
u = −0.018154 − 1.328590I
a = −0.117418 − 0.353788I
b = 0.783836 + 0.004095I
−3.03686 − 10.80110I 0
u = −0.625854 + 0.229578I
a = −0.47385 + 1.36844I
b = −1.195450 − 0.289604I
1.19416 + 0.85443I 0
u = −0.625854 − 0.229578I
a = −0.47385 − 1.36844I
b = −1.195450 + 0.289604I
1.19416 − 0.85443I 0
u = −0.680374 + 1.149170I
a = −0.61432 + 1.65134I
b = −1.75577 + 1.68669I
1.5363 − 19.6385I 0
u = −0.680374 − 1.149170I
a = −0.61432 − 1.65134I
b = −1.75577 − 1.68669I
1.5363 + 19.6385I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.678767 + 1.152150I
a = 0.66746 + 1.50934I
b = 1.75972 + 1.54970I
3.47276 + 13.58970I 0
u = 0.678767 − 1.152150I
a = 0.66746 − 1.50934I
b = 1.75972 − 1.54970I
3.47276 − 13.58970I 0
u = −0.693753 + 1.159710I
a = −0.370937 + 1.254930I
b = −1.42287 + 1.42105I
−3.55570 − 10.98920I 0
u = −0.693753 − 1.159710I
a = −0.370937 − 1.254930I
b = −1.42287 − 1.42105I
−3.55570 + 10.98920I 0
u = 0.040414 + 1.355810I
a = −0.047417 + 0.309496I
b = −0.841750 − 0.023731I
−1.01958 − 4.59032I 0
u = 0.040414 − 1.355810I
a = −0.047417 − 0.309496I
b = −0.841750 + 0.023731I
−1.01958 + 4.59032I 0
u = 0.627417 + 0.141434I
a = 0.228538 + 1.261240I
b = 1.108220 − 0.577832I
0.68585 − 5.36172I −2.64883 + 5.99730I
u = 0.627417 − 0.141434I
a = 0.228538 − 1.261240I
b = 1.108220 + 0.577832I
0.68585 + 5.36172I −2.64883 − 5.99730I
u = 0.658345 + 1.192310I
a = 0.730811 + 0.819351I
b = 1.61609 + 0.90967I
3.62177 + 7.96268I 0
u = 0.658345 − 1.192310I
a = 0.730811 − 0.819351I
b = 1.61609 − 0.90967I
3.62177 − 7.96268I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.614117 + 1.233780I
a = −0.713863 + 0.414485I
b = −1.49594 + 0.51693I
1.85327 − 1.35254I 0
u = −0.614117 − 1.233780I
a = −0.713863 − 0.414485I
b = −1.49594 − 0.51693I
1.85327 + 1.35254I 0
u = 0.884501 + 1.099460I
a = 0.342347 + 0.007126I
b = 0.068941 − 0.422441I
3.20160 − 1.40503I 0
u = 0.884501 − 1.099460I
a = 0.342347 − 0.007126I
b = 0.068941 + 0.422441I
3.20160 + 1.40503I 0
u = 0.308745 + 0.490388I
a = −1.229980 + 0.363683I
b = −0.201002 + 0.699270I
0.036983 + 1.255920I −0.02182 − 5.53314I
u = 0.308745 − 0.490388I
a = −1.229980 − 0.363683I
b = −0.201002 − 0.699270I
0.036983 − 1.255920I −0.02182 + 5.53314I
u = 0.504989 + 0.118537I
a = −0.98059 − 1.07480I
b = 0.347166 + 0.828660I
−0.849193 + 1.116530I −2.55366 + 1.85405I
u = 0.504989 − 0.118537I
a = −0.98059 + 1.07480I
b = 0.347166 − 0.828660I
−0.849193 − 1.116530I −2.55366 − 1.85405I
u = −0.413870
a = −0.843592
b = −0.505841
−1.38935 −6.69980
u = −0.12305 + 1.64503I
a = 0.176523 + 0.010629I
b = 0.753377 − 0.147043I
−8.80325 + 0.76190I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.12305 − 1.64503I
a = 0.176523 − 0.010629I
b = 0.753377 + 0.147043I
−8.80325 − 0.76190I 0
20
II.
I
u
2
= h−2.58 × 10
5
u
35
− 3.46 × 10
5
u
34
+ · · · + 2.29 × 10
5
b + 4.35 × 10
4
, −1.98 ×
10
6
u
35
−9.81×10
5
u
34
+· · ·+2.29×10
5
a+1.70×10
5
, u
36
+11u
34
+· · ·−2u+1i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
5
=
1
−u
2
a
7
=
8.65527u
35
+ 4.27941u
34
+ ··· + 10.5422u − 0.740979
1.12731u
35
+ 1.50746u
34
+ ··· + 0.681896u − 0.189786
a
8
=
10.3529u
35
+ 4.46920u
34
+ ··· + 9.95675u + 3.72822
u
33
+ 10u
31
+ ··· − 2u
2
+ 2u
a
11
=
u
u
a
12
=
−11.3529u
35
− 4.46920u
34
+ ··· + 5.04325u − 5.72822
−5.69768u
35
− 0.189786u
34
+ ··· − 3.41455u − 4.46920
a
3
=
−6.92471u
35
+ 4.03541u
34
+ ··· − 49.0306u + 19.5538
−3u
34
− 28u
32
+ ··· − 4u + 2
a
6
=
4.29704u
35
+ 9.70978u
34
+ ··· − 18.6028u + 4.22633
7.97950u
35
+ 3.97053u
34
+ ··· − 10.8552u + 7.42282
a
2
=
7.92895u
35
+ 1.84951u
34
+ ··· − 21.1825u + 18.2083
6.10546u
35
− 3.32773u
34
+ ··· + 12.0283u − 1.63774
a
9
=
u
3
u
3
+ u
a
1
=
−10.4334u
35
− 3.55197u
34
+ ··· + 4.79188u − 6.21320
−3.55681u
35
+ 1.21242u
34
+ ··· − 3.68186u − 2.18223
(ii) Obstruction class = 1
(iii) Cusp Shapes =
517923
45841
u
35
−
1069968
229205
u
34
+ ··· +
14024567
229205
u −
10697188
229205
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
36
− 22u
35
+ ··· − 65u + 4
c
2
u
36
+ 2u
35
+ ··· + u + 2
c
3
u
36
+ 3u
34
+ ··· − 2u + 1
c
4
u
36
+ 11u
34
+ ··· − 2u + 1
c
5
u
36
− 2u
35
+ ··· − u + 2
c
6
u
36
− u
35
+ ··· + 3u + 1
c
7
u
36
+ 6u
35
+ ··· − 4u + 1
c
8
u
36
− 3u
35
+ ··· + u + 1
c
9
u
36
− 22u
35
+ ··· − 20u + 1
c
10
u
36
+ 11u
34
+ ··· + 2u + 1
c
11
u
36
+ u
35
+ ··· − 3u + 1
c
12
u
36
+ 3u
35
+ ··· − u + 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
36
+ 2y
35
+ ··· + 47y + 16
c
2
, c
5
y
36
− 22y
35
+ ··· − 65y + 4
c
3
y
36
+ 6y
35
+ ··· + 22y + 1
c
4
, c
10
y
36
+ 22y
35
+ ··· + 20y + 1
c
6
, c
11
y
36
+ 29y
35
+ ··· + 33y + 1
c
7
y
36
− 2y
35
+ ··· − 32y + 1
c
8
, c
12
y
36
+ 33y
35
+ ··· + 29y + 1
c
9
y
36
+ 2y
35
+ ··· + 40y + 1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.357797 + 0.955513I
a = 1.289100 + 0.087295I
b = −0.105926 + 1.136940I
−4.94479 + 2.22932I −14.9019 − 2.6399I
u = −0.357797 − 0.955513I
a = 1.289100 − 0.087295I
b = −0.105926 − 1.136940I
−4.94479 − 2.22932I −14.9019 + 2.6399I
u = 0.188381 + 0.952058I
a = −0.577972 + 0.724453I
b = 0.700843 + 0.974985I
−2.03573 + 0.72975I −6.02806 − 0.31753I
u = 0.188381 − 0.952058I
a = −0.577972 − 0.724453I
b = 0.700843 − 0.974985I
−2.03573 − 0.72975I −6.02806 + 0.31753I
u = 0.767826 + 0.730286I
a = −1.235970 + 0.014515I
b = −0.721873 + 0.277072I
3.93271 + 6.87021I −2.79527 − 7.40077I
u = 0.767826 − 0.730286I
a = −1.235970 − 0.014515I
b = −0.721873 − 0.277072I
3.93271 − 6.87021I −2.79527 + 7.40077I
u = −0.295149 + 0.862951I
a = 1.065500 + 0.914877I
b = −0.75742 + 1.25923I
−4.50771 − 4.97619I −9.84969 + 1.70961I
u = −0.295149 − 0.862951I
a = 1.065500 − 0.914877I
b = −0.75742 − 1.25923I
−4.50771 + 4.97619I −9.84969 − 1.70961I
u = 0.377195 + 1.036490I
a = −0.631468 − 0.298796I
b = 0.218315 + 0.567981I
−3.19509 + 0.95374I −9.53510 + 0.09168I
u = 0.377195 − 1.036490I
a = −0.631468 + 0.298796I
b = 0.218315 − 0.567981I
−3.19509 − 0.95374I −9.53510 − 0.09168I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.749055 + 0.817100I
a = 1.35938 + 0.64125I
b = 0.930567 + 0.890428I
5.02393 − 1.94253I 2.06414 + 5.24353I
u = −0.749055 − 0.817100I
a = 1.35938 − 0.64125I
b = 0.930567 − 0.890428I
5.02393 + 1.94253I 2.06414 − 5.24353I
u = −0.715639 + 0.497019I
a = −0.922146 + 0.898279I
b = −0.757220 − 0.546128I
−1.58054 + 3.16047I −4.02940 − 3.51911I
u = −0.715639 − 0.497019I
a = −0.922146 − 0.898279I
b = −0.757220 + 0.546128I
−1.58054 − 3.16047I −4.02940 + 3.51911I
u = 0.524426 + 1.037100I
a = −0.72236 − 1.90207I
b = −1.83753 − 1.57526I
−2.22265 + 5.46540I −9.49464 − 6.03250I
u = 0.524426 − 1.037100I
a = −0.72236 + 1.90207I
b = −1.83753 + 1.57526I
−2.22265 − 5.46540I −9.49464 + 6.03250I
u = 0.440097 + 1.083420I
a = −1.52366 − 0.97777I
b = −2.31961 − 0.85247I
0.54233 + 8.54078I −5.21907 − 11.55552I
u = 0.440097 − 1.083420I
a = −1.52366 + 0.97777I
b = −2.31961 + 0.85247I
0.54233 − 8.54078I −5.21907 + 11.55552I
u = −0.575344 + 1.045980I
a = 0.21266 − 1.64483I
b = 1.50297 − 1.58524I
−3.19361 − 8.08332I −7.68802 + 9.09365I
u = −0.575344 − 1.045980I
a = 0.21266 + 1.64483I
b = 1.50297 + 1.58524I
−3.19361 + 8.08332I −7.68802 − 9.09365I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.754254 + 0.927529I
a = 0.530498 + 1.125890I
b = 0.16434 + 1.42491I
4.68873 − 3.76190I −2.59546 − 0.35238I
u = −0.754254 − 0.927529I
a = 0.530498 − 1.125890I
b = 0.16434 − 1.42491I
4.68873 + 3.76190I −2.59546 + 0.35238I
u = −0.378109 + 1.150000I
a = 1.189800 − 0.265551I
b = 1.96649 − 0.23854I
0.72838 − 2.69545I −5.40072 + 5.24485I
u = −0.378109 − 1.150000I
a = 1.189800 + 0.265551I
b = 1.96649 + 0.23854I
0.72838 + 2.69545I −5.40072 − 5.24485I
u = 0.494501 + 0.571527I
a = 1.55897 + 1.44851I
b = 1.42526 − 0.01899I
−0.728857 − 1.198740I −5.19155 + 0.06419I
u = 0.494501 − 0.571527I
a = 1.55897 − 1.44851I
b = 1.42526 + 0.01899I
−0.728857 + 1.198740I −5.19155 − 0.06419I
u = 0.343882 + 0.665491I
a = 1.94755 + 2.49158I
b = 1.53935 + 1.56425I
2.13814 − 5.17372I −1.23012 + 7.50734I
u = 0.343882 − 0.665491I
a = 1.94755 − 2.49158I
b = 1.53935 − 1.56425I
2.13814 + 5.17372I −1.23012 − 7.50734I
u = −0.284559 + 0.681609I
a = −1.47972 + 2.66804I
b = −0.87260 + 1.83658I
2.54065 − 0.13483I −2.09330 − 1.87168I
u = −0.284559 − 0.681609I
a = −1.47972 − 2.66804I
b = −0.87260 − 1.83658I
2.54065 + 0.13483I −2.09330 + 1.87168I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.813586 + 1.057500I
a = −0.066034 + 0.598520I
b = 0.307723 + 0.943390I
2.96304 − 0.90948I −4.00000 − 2.78303I
u = 0.813586 − 1.057500I
a = −0.066034 − 0.598520I
b = 0.307723 − 0.943390I
2.96304 + 0.90948I −4.00000 + 2.78303I
u = 0.246172 + 0.390549I
a = −1.83342 + 0.24063I
b = 0.375039 + 0.277366I
−1.15261 + 1.97520I −5.58454 − 6.81897I
u = 0.246172 − 0.390549I
a = −1.83342 − 0.24063I
b = 0.375039 − 0.277366I
−1.15261 − 1.97520I −5.58454 + 6.81897I
u = −0.08616 + 1.61968I
a = −0.160698 + 0.102938I
b = −0.758714 + 0.229612I
−8.86594 + 0.61950I 0
u = −0.08616 − 1.61968I
a = −0.160698 − 0.102938I
b = −0.758714 − 0.229612I
−8.86594 − 0.61950I 0
29
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
36
− 22u
35
+ ··· − 65u + 4)(u
151
+ 67u
150
+ ··· + 52840u + 1156)
c
2
(u
36
+ 2u
35
+ ··· + u + 2)(u
151
+ 3u
150
+ ··· + 70u + 34)
c
3
(u
36
+ 3u
34
+ ··· − 2u + 1)
· (u
151
+ u
150
+ ··· − 179023038u + 197503417)
c
4
(u
36
+ 11u
34
+ ··· − 2u + 1)(u
151
+ u
150
+ ··· + 342u + 313)
c
5
(u
36
− 2u
35
+ ··· − u + 2)(u
151
+ 3u
150
+ ··· + 70u + 34)
c
6
(u
36
− u
35
+ ··· + 3u + 1)(u
151
− 2u
150
+ ··· + 21021u + 2741)
c
7
(u
36
+ 6u
35
+ ··· − 4u + 1)(u
151
− 3u
150
+ ··· − 33752u + 4808)
c
8
(u
36
− 3u
35
+ ··· + u + 1)(u
151
− 4u
150
+ ··· + 2.01823 × 10
7
u − 3589991)
c
9
(u
36
− 22u
35
+ ··· − 20u + 1)
· (u
151
+ 69u
150
+ ··· − 1865578u − 97969)
c
10
(u
36
+ 11u
34
+ ··· + 2u + 1)(u
151
+ u
150
+ ··· + 342u + 313)
c
11
(u
36
+ u
35
+ ··· − 3u + 1)(u
151
− 2u
150
+ ··· + 21021u + 2741)
c
12
(u
36
+ 3u
35
+ ··· − u + 1)(u
151
− 4u
150
+ ··· + 2.01823 × 10
7
u − 3589991)
30
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
36
+ 2y
35
+ ··· + 47y + 16)
· (y
151
+ 53y
150
+ ··· + 332733400y −1336336)
c
2
, c
5
(y
36
− 22y
35
+ ··· − 65y + 4)(y
151
− 67y
150
+ ··· + 52840y −1156)
c
3
(y
36
+ 6y
35
+ ··· + 22y + 1)
· (y
151
+ 49y
150
+ ··· − 1753792917130715680y −39007599726675889)
c
4
, c
10
(y
36
+ 22y
35
+ ··· + 20y + 1)
· (y
151
+ 69y
150
+ ··· − 1865578y −97969)
c
6
, c
11
(y
36
+ 29y
35
+ ··· + 33y + 1)
· (y
151
+ 88y
150
+ ··· − 10437379y −7513081)
c
7
(y
36
− 2y
35
+ ··· − 32y + 1)
· (y
151
+ 5y
150
+ ··· − 2044025440y −23116864)
c
8
, c
12
(y
36
+ 33y
35
+ ··· + 29y + 1)
· (y
151
+ 112y
150
+ ··· + 15695522090649y −12888035380081)
c
9
(y
36
+ 2y
35
+ ··· + 40y + 1)
· (y
151
+ 45y
150
+ ··· + 55326840498y −9597924961)
31
