12a
0922
(K12a
0922
)
A knot diagram
1
Linearized knot diagam
4 6 9 10 12 3 11 1 2 8 5 7
Solving Sequence
5,11 8,12
7 1 9 10 4 2 3 6
c
11
c
7
c
12
c
8
c
10
c
4
c
1
c
3
c
6
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.33030 × 10
1482
u
197
− 8.31840 × 10
1482
u
196
+ ··· + 5.08986 × 10
1483
b − 3.67386 × 10
1487
,
6.23201 × 10
1487
u
197
+ 1.16404 × 10
1488
u
196
+ ··· + 4.53166 × 10
1488
a + 6.49088 × 10
1492
,
u
198
+ u
197
+ ··· − 1502406u − 89033i
I
u
2
= h−7.38108 × 10
78
u
56
+ 2.03170 × 10
79
u
55
+ ··· + 4.01238 × 10
78
b − 4.19152 × 10
78
,
− 4.91319 × 10
78
u
56
+ 1.93609 × 10
79
u
55
+ ··· + 4.01238 × 10
78
a + 3.19386 × 10
78
, u
57
− 2u
56
+ ··· + 7u − 1i
* 2 irreducible components of dim
C
= 0, with total 255 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−4.33 × 10
1482
u
197
− 8.32 × 10
1482
u
196
+ · · · + 5.09 × 10
1483
b −
3.67 × 10
1487
, 6.23 × 10
1487
u
197
+ 1.16 × 10
1488
u
196
+ · · · + 4.53 × 10
1488
a +
6.49 × 10
1492
, u
198
+ u
197
+ · · · − 1502406u − 89033i
(i) Arc colorings
a
5
=
0
u
a
11
=
1
0
a
8
=
−0.137522u
197
− 0.256868u
196
+ ··· − 257540.u − 14323.4
0.0850769u
197
+ 0.163431u
196
+ ··· + 129633.u + 7218.00
a
12
=
1
u
2
a
7
=
−0.0524447u
197
− 0.0934372u
196
+ ··· − 127907.u − 7105.41
0.0850769u
197
+ 0.163431u
196
+ ··· + 129633.u + 7218.00
a
1
=
0.110451u
197
+ 0.206797u
196
+ ··· + 174835.u + 9688.16
−0.0186996u
197
− 0.0351781u
196
+ ··· − 26798.6u − 1481.48
a
9
=
0.0836670u
197
+ 0.176503u
196
+ ··· + 142987.u + 8077.11
0.0528392u
197
+ 0.100875u
196
+ ··· + 93354.4u + 5195.69
a
10
=
−0.0121678u
197
− 0.0236557u
196
+ ··· − 18829.4u − 1038.53
0.0507746u
197
+ 0.0932345u
196
+ ··· + 76768.4u + 4239.01
a
4
=
0.0597915u
197
+ 0.116686u
196
+ ··· + 108658.u + 6080.30
−0.0628572u
197
− 0.119933u
196
+ ··· − 104786.u − 5835.55
a
2
=
0.116474u
197
+ 0.235488u
196
+ ··· + 199053.u + 11195.1
0.0673832u
197
+ 0.121228u
196
+ ··· + 126606.u + 7001.79
a
3
=
−0.172309u
197
− 0.339160u
196
+ ··· − 303862.u − 17016.3
−0.0514320u
197
− 0.0902693u
196
+ ··· − 98636.6u − 5439.58
a
6
=
−u
−u
3
+ u
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.316742u
197
− 0.593665u
196
+ ··· − 519214.u − 28823.3
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
198
− 13u
197
+ ··· − 79u + 47
c
2
, c
6
u
198
− 44u
196
+ ··· + 4u − 1
c
3
u
198
− 2u
197
+ ··· − 317u − 23
c
4
u
198
− 32u
196
+ ··· + 16388029166u − 6212469373
c
5
, c
11
u
198
+ u
197
+ ··· − 1502406u − 89033
c
7
, c
10
u
198
+ 15u
197
+ ··· − 46454u + 12173
c
8
u
198
− 7u
196
+ ··· − 6925u − 181
c
9
u
198
+ 3u
197
+ ··· + 18797u − 3181
c
12
u
198
− 12u
196
+ ··· − 4308718u − 110767
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
198
− 9y
197
+ ··· − 185029y + 2209
c
2
, c
6
y
198
− 88y
197
+ ··· − 48y + 1
c
3
y
198
+ 28y
197
+ ··· + 36775y + 529
c
4
y
198
− 64y
197
+ ··· − 7.98 × 10
20
y + 3.86 × 10
19
c
5
, c
11
y
198
− 119y
197
+ ··· + 2069262907500y + 7926875089
c
7
, c
10
y
198
+ 107y
197
+ ··· + 8292010772y + 148181929
c
8
y
198
− 14y
197
+ ··· − 8988859y + 32761
c
9
y
198
+ 47y
197
+ ··· + 695194011y + 10118761
c
12
y
198
− 24y
197
+ ··· − 172765777322y + 12269328289
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.979597 + 0.260723I
a = −0.189061 + 0.971484I
b = 0.23238 − 1.78984I
2.35768 − 8.58224I 0
u = 0.979597 − 0.260723I
a = −0.189061 − 0.971484I
b = 0.23238 + 1.78984I
2.35768 + 8.58224I 0
u = −0.976264 + 0.289248I
a = 1.052900 + 0.583265I
b = 0.310457 − 1.237310I
0.881847 + 0.059937I 0
u = −0.976264 − 0.289248I
a = 1.052900 − 0.583265I
b = 0.310457 + 1.237310I
0.881847 − 0.059937I 0
u = 1.020100 + 0.034531I
a = −0.319655 + 0.225581I
b = −2.15211 + 0.01386I
−7.61481 − 0.13040I 0
u = 1.020100 − 0.034531I
a = −0.319655 − 0.225581I
b = −2.15211 − 0.01386I
−7.61481 + 0.13040I 0
u = 0.263199 + 0.926297I
a = 0.80177 + 1.49507I
b = −0.207876 − 1.091400I
3.95365 − 0.06681I 0
u = 0.263199 − 0.926297I
a = 0.80177 − 1.49507I
b = −0.207876 + 1.091400I
3.95365 + 0.06681I 0
u = −0.927670 + 0.242740I
a = −1.56795 + 0.56102I
b = −0.379394 + 1.076750I
3.82507 + 2.32250I 0
u = −0.927670 − 0.242740I
a = −1.56795 − 0.56102I
b = −0.379394 − 1.076750I
3.82507 − 2.32250I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.501779 + 0.913475I
a = 0.782654 + 0.425143I
b = −0.802456 − 0.357086I
−0.59594 − 2.49768I 0
u = −0.501779 − 0.913475I
a = 0.782654 − 0.425143I
b = −0.802456 + 0.357086I
−0.59594 + 2.49768I 0
u = −0.047048 + 1.049100I
a = 0.49318 − 1.79961I
b = −0.501460 + 1.063930I
1.42910 + 2.33740I 0
u = −0.047048 − 1.049100I
a = 0.49318 + 1.79961I
b = −0.501460 − 1.063930I
1.42910 − 2.33740I 0
u = −0.938760 + 0.132915I
a = −1.65662 + 0.75214I
b = −0.565123 − 0.938852I
−1.06331 + 2.15989I 0
u = −0.938760 − 0.132915I
a = −1.65662 − 0.75214I
b = −0.565123 + 0.938852I
−1.06331 − 2.15989I 0
u = 0.815697 + 0.464782I
a = 0.392530 + 0.686869I
b = 0.151914 − 1.052260I
2.32733 − 5.14885I 0
u = 0.815697 − 0.464782I
a = 0.392530 − 0.686869I
b = 0.151914 + 1.052260I
2.32733 + 5.14885I 0
u = −1.007520 + 0.342004I
a = −0.613795 − 0.604715I
b = −0.83829 + 1.17462I
0.36079 + 3.51595I 0
u = −1.007520 − 0.342004I
a = −0.613795 + 0.604715I
b = −0.83829 − 1.17462I
0.36079 − 3.51595I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.927398 + 0.088914I
a = 1.37670 − 1.77368I
b = 0.381932 + 0.901393I
−3.72888 + 2.13591I 0
u = 0.927398 − 0.088914I
a = 1.37670 + 1.77368I
b = 0.381932 − 0.901393I
−3.72888 − 2.13591I 0
u = −0.168521 + 1.056970I
a = −0.46516 − 1.41329I
b = 0.495151 + 1.182070I
0.08704 − 8.95349I 0
u = −0.168521 − 1.056970I
a = −0.46516 + 1.41329I
b = 0.495151 − 1.182070I
0.08704 + 8.95349I 0
u = 0.923379 + 0.072047I
a = −1.18541 + 0.92189I
b = −0.780980 − 1.026960I
−3.66143 − 3.37349I 0
u = 0.923379 − 0.072047I
a = −1.18541 − 0.92189I
b = −0.780980 + 1.026960I
−3.66143 + 3.37349I 0
u = −0.896238 + 0.183671I
a = 0.03102 + 2.02801I
b = −0.21018 − 1.43390I
4.04748 − 0.45155I 0
u = −0.896238 − 0.183671I
a = 0.03102 − 2.02801I
b = −0.21018 + 1.43390I
4.04748 + 0.45155I 0
u = 0.233523 + 0.883108I
a = 0.70717 − 1.63292I
b = −0.107911 + 1.095810I
3.38191 + 1.92510I 0
u = 0.233523 − 0.883108I
a = 0.70717 + 1.63292I
b = −0.107911 − 1.095810I
3.38191 − 1.92510I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.136988 + 0.900713I
a = −0.476512 − 1.029880I
b = 0.718550 + 0.145352I
−0.16053 + 10.00250I 0
u = −0.136988 − 0.900713I
a = −0.476512 + 1.029880I
b = 0.718550 − 0.145352I
−0.16053 − 10.00250I 0
u = 0.708454 + 0.565926I
a = 1.70528 − 0.58052I
b = −0.131908 + 0.810522I
2.82086 + 1.40498I 0
u = 0.708454 − 0.565926I
a = 1.70528 + 0.58052I
b = −0.131908 − 0.810522I
2.82086 − 1.40498I 0
u = 0.900531 + 0.104086I
a = 1.52200 − 2.55400I
b = 0.338264 + 1.119880I
−2.62353 − 5.87241I 0
u = 0.900531 − 0.104086I
a = 1.52200 + 2.55400I
b = 0.338264 − 1.119880I
−2.62353 + 5.87241I 0
u = −0.850384 + 0.282276I
a = −1.64099 − 0.82602I
b = −0.81680 + 1.23776I
1.14556 + 3.63840I 0
u = −0.850384 − 0.282276I
a = −1.64099 + 0.82602I
b = −0.81680 − 1.23776I
1.14556 − 3.63840I 0
u = 0.662912 + 0.580008I
a = 0.037633 − 0.249211I
b = 0.733552 − 0.555839I
3.18898 − 4.96316I 0
u = 0.662912 − 0.580008I
a = 0.037633 + 0.249211I
b = 0.733552 + 0.555839I
3.18898 + 4.96316I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.557443 + 0.971178I
a = −0.10731 + 1.44505I
b = 0.196276 − 1.263900I
8.58430 − 2.33740I 0
u = 0.557443 − 0.971178I
a = −0.10731 − 1.44505I
b = 0.196276 + 1.263900I
8.58430 + 2.33740I 0
u = −0.734174 + 0.485394I
a = 1.22171 + 1.00924I
b = 0.872071 − 0.815605I
−2.10640 + 5.17792I 0
u = −0.734174 − 0.485394I
a = 1.22171 − 1.00924I
b = 0.872071 + 0.815605I
−2.10640 − 5.17792I 0
u = −0.792531 + 0.370863I
a = 0.741431 + 0.937490I
b = −0.315153 − 1.355050I
1.161100 − 0.703311I 0
u = −0.792531 − 0.370863I
a = 0.741431 − 0.937490I
b = −0.315153 + 1.355050I
1.161100 + 0.703311I 0
u = 0.177797 + 0.853715I
a = 0.138766 + 1.309750I
b = −0.342734 − 1.259750I
3.87522 − 6.03569I 0
u = 0.177797 − 0.853715I
a = 0.138766 − 1.309750I
b = −0.342734 + 1.259750I
3.87522 + 6.03569I 0
u = 0.635180 + 0.577984I
a = 0.647589 − 0.748435I
b = 0.671037 + 0.114686I
3.28378 + 0.45135I 0
u = 0.635180 − 0.577984I
a = 0.647589 + 0.748435I
b = 0.671037 − 0.114686I
3.28378 − 0.45135I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.045113 + 0.856350I
a = 0.820081 − 0.647200I
b = −0.794105 + 0.166584I
−0.853809 − 0.592160I 0
u = −0.045113 − 0.856350I
a = 0.820081 + 0.647200I
b = −0.794105 − 0.166584I
−0.853809 + 0.592160I 0
u = 1.142060 + 0.161533I
a = 0.1003130 − 0.0633660I
b = −0.922173 + 0.757257I
−4.61441 + 2.54335I 0
u = 1.142060 − 0.161533I
a = 0.1003130 + 0.0633660I
b = −0.922173 − 0.757257I
−4.61441 − 2.54335I 0
u = −0.506283 + 0.675726I
a = −0.02688 + 2.50530I
b = −0.249569 − 1.354820I
4.91856 − 6.02156I 0
u = −0.506283 − 0.675726I
a = −0.02688 − 2.50530I
b = −0.249569 + 1.354820I
4.91856 + 6.02156I 0
u = 0.608107 + 0.984785I
a = −0.280278 + 1.040850I
b = 0.494304 − 1.160540I
6.19488 + 4.90482I 0
u = 0.608107 − 0.984785I
a = −0.280278 − 1.040850I
b = 0.494304 + 1.160540I
6.19488 − 4.90482I 0
u = −0.304620 + 0.777921I
a = −0.437231 − 0.840797I
b = 0.438292 + 0.958129I
−0.889629 + 0.261396I 0
u = −0.304620 − 0.777921I
a = −0.437231 + 0.840797I
b = 0.438292 − 0.958129I
−0.889629 − 0.261396I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.160150 + 0.117757I
a = 1.79454 + 2.02242I
b = 0.314837 − 1.079780I
−1.42635 + 9.26825I 0
u = −1.160150 − 0.117757I
a = 1.79454 − 2.02242I
b = 0.314837 + 1.079780I
−1.42635 − 9.26825I 0
u = 1.106630 + 0.412631I
a = −0.682247 + 1.090760I
b = −0.732521 − 0.705142I
−4.60405 − 3.43602I 0
u = 1.106630 − 0.412631I
a = −0.682247 − 1.090760I
b = −0.732521 + 0.705142I
−4.60405 + 3.43602I 0
u = −0.279419 + 1.149800I
a = 0.11153 − 1.50317I
b = 0.229769 + 0.683294I
1.56406 + 2.77703I 0
u = −0.279419 − 1.149800I
a = 0.11153 + 1.50317I
b = 0.229769 − 0.683294I
1.56406 − 2.77703I 0
u = −0.410248 + 1.115180I
a = 0.55928 + 1.57154I
b = −0.530668 − 1.182190I
2.14827 − 5.50631I 0
u = −0.410248 − 1.115180I
a = 0.55928 − 1.57154I
b = −0.530668 + 1.182190I
2.14827 + 5.50631I 0
u = −0.905157 + 0.784606I
a = −0.47554 − 1.41442I
b = −0.451115 + 1.251490I
3.08111 + 4.19846I 0
u = −0.905157 − 0.784606I
a = −0.47554 + 1.41442I
b = −0.451115 − 1.251490I
3.08111 − 4.19846I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.800205 + 0.024004I
a = −0.484727 − 0.798596I
b = −0.21088 + 1.74073I
2.27467 + 1.75857I 0
u = −0.800205 − 0.024004I
a = −0.484727 + 0.798596I
b = −0.21088 − 1.74073I
2.27467 − 1.75857I 0
u = −1.116820 + 0.445193I
a = −2.06452 − 0.93486I
b = −0.305509 + 1.184810I
2.92985 + 10.37130I 0
u = −1.116820 − 0.445193I
a = −2.06452 + 0.93486I
b = −0.305509 − 1.184810I
2.92985 − 10.37130I 0
u = 0.769876 + 0.172017I
a = −2.47157 + 0.62337I
b = 0.048276 − 0.581657I
−2.85734 + 3.87017I 0
u = 0.769876 − 0.172017I
a = −2.47157 − 0.62337I
b = 0.048276 + 0.581657I
−2.85734 − 3.87017I 0
u = −0.175775 + 0.768286I
a = 0.50056 − 1.78693I
b = −0.351951 + 1.127870I
1.67309 + 3.12894I 0
u = −0.175775 − 0.768286I
a = 0.50056 + 1.78693I
b = −0.351951 − 1.127870I
1.67309 − 3.12894I 0
u = −1.135560 + 0.423353I
a = 1.131220 + 0.538508I
b = 0.058157 − 0.755420I
−1.14308 + 1.17111I 0
u = −1.135560 − 0.423353I
a = 1.131220 − 0.538508I
b = 0.058157 + 0.755420I
−1.14308 − 1.17111I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.176090 + 0.305718I
a = −1.25836 + 0.68930I
b = −0.384668 − 1.204050I
0.22725 − 6.10508I 0
u = 1.176090 − 0.305718I
a = −1.25836 − 0.68930I
b = −0.384668 + 1.204050I
0.22725 + 6.10508I 0
u = 1.034210 + 0.641460I
a = 0.62441 − 1.81211I
b = 0.418808 + 1.074290I
−3.45159 − 7.69792I 0
u = 1.034210 − 0.641460I
a = 0.62441 + 1.81211I
b = 0.418808 − 1.074290I
−3.45159 + 7.69792I 0
u = 0.762032 + 0.173424I
a = 0.42193 + 1.63478I
b = −0.11090 − 1.41412I
3.43568 − 5.23237I 0
u = 0.762032 − 0.173424I
a = 0.42193 − 1.63478I
b = −0.11090 + 1.41412I
3.43568 + 5.23237I 0
u = 0.529126 + 0.573400I
a = 1.43554 − 0.82711I
b = 0.325156 + 0.660389I
3.04077 + 0.89233I 0
u = 0.529126 − 0.573400I
a = 1.43554 + 0.82711I
b = 0.325156 − 0.660389I
3.04077 − 0.89233I 0
u = 1.026230 + 0.673966I
a = 1.00425 − 1.18053I
b = 0.721214 + 1.152090I
4.79177 − 10.87540I 0
u = 1.026230 − 0.673966I
a = 1.00425 + 1.18053I
b = 0.721214 − 1.152090I
4.79177 + 10.87540I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.712233 + 0.290826I
a = 0.141789 + 0.331055I
b = −0.771426 + 0.122269I
−0.929046 − 0.207361I 0
u = −0.712233 − 0.290826I
a = 0.141789 − 0.331055I
b = −0.771426 − 0.122269I
−0.929046 + 0.207361I 0
u = −1.183510 + 0.365187I
a = 0.028659 + 0.180138I
b = 1.327950 + 0.348197I
−6.56609 + 7.76406I 0
u = −1.183510 − 0.365187I
a = 0.028659 − 0.180138I
b = 1.327950 − 0.348197I
−6.56609 − 7.76406I 0
u = −1.209690 + 0.276570I
a = −0.293178 + 0.056195I
b = −1.234310 − 0.204350I
−4.26845 + 4.61546I 0
u = −1.209690 − 0.276570I
a = −0.293178 − 0.056195I
b = −1.234310 + 0.204350I
−4.26845 − 4.61546I 0
u = −0.754441 + 0.067741I
a = −3.56272 − 0.92628I
b = 0.011360 − 0.696650I
0.41867 + 8.79188I 0
u = −0.754441 − 0.067741I
a = −3.56272 + 0.92628I
b = 0.011360 + 0.696650I
0.41867 − 8.79188I 0
u = 1.086760 + 0.619671I
a = 1.18871 − 0.96479I
b = 0.412226 + 1.168010I
6.78055 − 3.37631I 0
u = 1.086760 − 0.619671I
a = 1.18871 + 0.96479I
b = 0.412226 − 1.168010I
6.78055 + 3.37631I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.270080 + 0.055018I
a = −0.379329 − 0.656340I
b = 0.154052 − 0.333312I
−5.09500 − 3.08368I 0
u = 1.270080 − 0.055018I
a = −0.379329 + 0.656340I
b = 0.154052 + 0.333312I
−5.09500 + 3.08368I 0
u = 1.269240 + 0.094138I
a = −0.301446 + 0.108605I
b = −0.812410 − 0.491297I
−5.05761 − 2.60184I 0
u = 1.269240 − 0.094138I
a = −0.301446 − 0.108605I
b = −0.812410 + 0.491297I
−5.05761 + 2.60184I 0
u = 1.228750 + 0.357514I
a = −1.01042 + 1.21694I
b = −0.387228 − 1.276550I
0.07264 − 6.30877I 0
u = 1.228750 − 0.357514I
a = −1.01042 − 1.21694I
b = −0.387228 + 1.276550I
0.07264 + 6.30877I 0
u = 1.282770 + 0.052590I
a = −0.127945 + 0.164082I
b = −1.374820 − 0.015392I
−7.14303 − 0.14296I 0
u = 1.282770 − 0.052590I
a = −0.127945 − 0.164082I
b = −1.374820 + 0.015392I
−7.14303 + 0.14296I 0
u = −1.282350 + 0.064269I
a = 1.106420 + 0.768518I
b = 0.354343 − 0.805256I
−2.92696 + 0.97701I 0
u = −1.282350 − 0.064269I
a = 1.106420 − 0.768518I
b = 0.354343 + 0.805256I
−2.92696 − 0.97701I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.679009 + 1.090280I
a = 0.486180 + 1.029770I
b = −0.175095 − 1.120710I
4.03858 + 2.46429I 0
u = −0.679009 − 1.090280I
a = 0.486180 − 1.029770I
b = −0.175095 + 1.120710I
4.03858 − 2.46429I 0
u = −0.036225 + 0.706446I
a = 0.769671 − 0.809009I
b = 0.327036 + 0.007228I
1.08781 + 2.85990I 0
u = −0.036225 − 0.706446I
a = 0.769671 + 0.809009I
b = 0.327036 − 0.007228I
1.08781 − 2.85990I 0
u = −1.221800 + 0.442566I
a = 0.100722 − 0.438112I
b = −1.259940 − 0.114087I
−4.49363 + 5.18580I 0
u = −1.221800 − 0.442566I
a = 0.100722 + 0.438112I
b = −1.259940 + 0.114087I
−4.49363 − 5.18580I 0
u = 1.295570 + 0.104886I
a = −0.550743 + 0.071135I
b = −0.690131 − 0.518035I
−5.01509 − 2.62915I 0
u = 1.295570 − 0.104886I
a = −0.550743 − 0.071135I
b = −0.690131 + 0.518035I
−5.01509 + 2.62915I 0
u = 1.076480 + 0.741253I
a = 0.24885 − 1.47781I
b = 0.500348 + 0.894562I
−4.42888 − 0.03613I 0
u = 1.076480 − 0.741253I
a = 0.24885 + 1.47781I
b = 0.500348 − 0.894562I
−4.42888 + 0.03613I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.307990 + 0.044041I
a = −0.020225 + 0.652051I
b = 0.232896 + 0.768467I
−4.41580 − 5.02154I 0
u = 1.307990 − 0.044041I
a = −0.020225 − 0.652051I
b = 0.232896 − 0.768467I
−4.41580 + 5.02154I 0
u = 0.612975 + 0.312850I
a = 1.66035 + 0.01014I
b = 0.467947 + 1.224820I
3.35650 + 5.98593I 0
u = 0.612975 − 0.312850I
a = 1.66035 − 0.01014I
b = 0.467947 − 1.224820I
3.35650 − 5.98593I 0
u = 0.178329 + 1.319670I
a = −0.28924 + 1.42018I
b = 0.503420 − 1.179340I
2.8308 + 14.6360I 0
u = 0.178329 − 1.319670I
a = −0.28924 − 1.42018I
b = 0.503420 + 1.179340I
2.8308 − 14.6360I 0
u = 1.284230 + 0.372979I
a = −0.244364 − 0.001855I
b = 0.430411 − 0.416559I
−5.43378 − 4.03328I 0
u = 1.284230 − 0.372979I
a = −0.244364 + 0.001855I
b = 0.430411 + 0.416559I
−5.43378 + 4.03328I 0
u = 0.257008 + 1.317090I
a = −0.094348 + 1.248230I
b = 0.415651 − 1.010570I
3.00562 + 5.91271I 0
u = 0.257008 − 1.317090I
a = −0.094348 − 1.248230I
b = 0.415651 + 1.010570I
3.00562 − 5.91271I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.278090 + 0.418530I
a = −0.78035 + 1.23257I
b = −0.69929 − 1.38064I
−3.01502 − 7.26205I 0
u = 1.278090 − 0.418530I
a = −0.78035 − 1.23257I
b = −0.69929 + 1.38064I
−3.01502 + 7.26205I 0
u = −1.286520 + 0.447581I
a = 0.331168 + 0.285181I
b = −0.855837 − 0.630391I
−2.78477 + 2.87021I 0
u = −1.286520 − 0.447581I
a = 0.331168 − 0.285181I
b = −0.855837 + 0.630391I
−2.78477 − 2.87021I 0
u = 1.286810 + 0.456009I
a = 0.196952 + 0.024240I
b = 0.873718 − 0.397053I
−2.99408 − 7.35034I 0
u = 1.286810 − 0.456009I
a = 0.196952 − 0.024240I
b = 0.873718 + 0.397053I
−2.99408 + 7.35034I 0
u = 0.117722 + 0.619642I
a = 0.01099 − 2.45819I
b = −0.174322 + 1.272920I
3.60457 + 2.54654I 0
u = 0.117722 − 0.619642I
a = 0.01099 + 2.45819I
b = −0.174322 − 1.272920I
3.60457 − 2.54654I 0
u = 1.217190 + 0.647996I
a = 1.173440 − 0.702487I
b = 0.028418 + 0.841407I
1.03857 − 5.80487I 0
u = 1.217190 − 0.647996I
a = 1.173440 + 0.702487I
b = 0.028418 − 0.841407I
1.03857 + 5.80487I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.150460 + 0.762336I
a = −0.294021 − 1.344820I
b = −0.724659 + 0.783303I
−2.34950 + 8.62386I 0
u = −1.150460 − 0.762336I
a = −0.294021 + 1.344820I
b = −0.724659 − 0.783303I
−2.34950 − 8.62386I 0
u = −1.345570 + 0.313788I
a = −0.282050 + 0.292986I
b = −0.681423 + 0.244915I
−2.75137 + 6.88077I 0
u = −1.345570 − 0.313788I
a = −0.282050 − 0.292986I
b = −0.681423 − 0.244915I
−2.75137 − 6.88077I 0
u = 1.302200 + 0.465055I
a = −0.009539 − 0.187635I
b = 1.236700 − 0.234581I
−4.4336 − 14.8398I 0
u = 1.302200 − 0.465055I
a = −0.009539 + 0.187635I
b = 1.236700 + 0.234581I
−4.4336 + 14.8398I 0
u = 1.38817
a = −0.116298
b = −1.30663
−7.29892 0
u = 1.356290 + 0.309630I
a = −0.607646 + 1.010160I
b = −0.71062 − 1.37658I
−3.16116 − 6.98788I 0
u = 1.356290 − 0.309630I
a = −0.607646 − 1.010160I
b = −0.71062 + 1.37658I
−3.16116 + 6.98788I 0
u = −1.309230 + 0.471557I
a = 0.240722 − 0.286113I
b = 0.709637 + 0.698338I
−4.06427 + 0.05951I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.309230 − 0.471557I
a = 0.240722 + 0.286113I
b = 0.709637 − 0.698338I
−4.06427 − 0.05951I 0
u = 1.365370 + 0.326521I
a = −0.637843 + 0.963507I
b = −0.70151 − 1.35965I
−3.17643 − 6.98755I 0
u = 1.365370 − 0.326521I
a = −0.637843 − 0.963507I
b = −0.70151 + 1.35965I
−3.17643 + 6.98755I 0
u = −1.403820 + 0.126762I
a = 0.076520 + 0.899805I
b = 0.140352 + 0.549545I
−3.33434 + 6.76943I 0
u = −1.403820 − 0.126762I
a = 0.076520 − 0.899805I
b = 0.140352 − 0.549545I
−3.33434 − 6.76943I 0
u = −1.29006 + 0.58629I
a = 0.80376 + 1.21865I
b = 0.71564 − 1.31495I
−3.4090 + 14.8133I 0
u = −1.29006 − 0.58629I
a = 0.80376 − 1.21865I
b = 0.71564 + 1.31495I
−3.4090 − 14.8133I 0
u = −1.24957 + 0.66862I
a = −0.80872 − 1.54816I
b = −0.66278 + 1.36546I
−0.59263 + 11.88910I 0
u = −1.24957 − 0.66862I
a = −0.80872 + 1.54816I
b = −0.66278 − 1.36546I
−0.59263 − 11.88910I 0
u = −1.23362 + 0.70272I
a = 0.801729 + 1.031940I
b = 0.661169 − 1.004160I
−3.13435 + 5.35720I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.23362 − 0.70272I
a = 0.801729 − 1.031940I
b = 0.661169 + 1.004160I
−3.13435 − 5.35720I 0
u = −1.34763 + 0.50788I
a = 0.88441 + 1.27400I
b = 0.396367 − 1.012980I
−2.45138 + 3.21479I 0
u = −1.34763 − 0.50788I
a = 0.88441 − 1.27400I
b = 0.396367 + 1.012980I
−2.45138 − 3.21479I 0
u = −0.555207
a = 0.917553
b = −0.490896
−1.33667 0
u = −1.38342 + 0.51207I
a = −0.721198 − 0.893492I
b = −0.67121 + 1.29345I
−0.87928 + 11.21970I 0
u = −1.38342 − 0.51207I
a = −0.721198 + 0.893492I
b = −0.67121 − 1.29345I
−0.87928 − 11.21970I 0
u = 1.39645 + 0.51625I
a = −0.582485 + 1.091290I
b = −0.440642 − 1.255560I
−0.48107 − 6.49433I 0
u = 1.39645 − 0.51625I
a = −0.582485 − 1.091290I
b = −0.440642 + 1.255560I
−0.48107 + 6.49433I 0
u = −0.457286 + 0.213449I
a = −3.19667 − 3.39166I
b = −0.265841 + 0.587860I
2.07764 + 0.65872I 0
u = −0.457286 − 0.213449I
a = −3.19667 + 3.39166I
b = −0.265841 − 0.587860I
2.07764 − 0.65872I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.48165 + 0.25649I
a = 0.281198 − 0.224665I
b = 0.459640 + 0.601437I
−3.73979 − 0.35334I 0
u = −1.48165 − 0.25649I
a = 0.281198 + 0.224665I
b = 0.459640 − 0.601437I
−3.73979 + 0.35334I 0
u = −1.51408 + 0.13758I
a = 0.673358 + 0.183426I
b = 0.322688 − 0.837248I
−2.89679 + 2.07569I 0
u = −1.51408 − 0.13758I
a = 0.673358 − 0.183426I
b = 0.322688 + 0.837248I
−2.89679 − 2.07569I 0
u = 0.139160 + 0.458902I
a = −1.15256 + 1.79713I
b = 0.673156 − 0.066899I
−3.02970 − 4.44980I 0
u = 0.139160 − 0.458902I
a = −1.15256 − 1.79713I
b = 0.673156 + 0.066899I
−3.02970 + 4.44980I 0
u = 1.37469 + 0.65835I
a = 0.78914 − 1.28760I
b = 0.66821 + 1.32090I
−0.9996 − 21.4803I 0
u = 1.37469 − 0.65835I
a = 0.78914 + 1.28760I
b = 0.66821 − 1.32090I
−0.9996 + 21.4803I 0
u = 1.37460 + 0.66174I
a = 0.810641 − 1.133750I
b = 0.608069 + 1.149210I
−0.68746 − 12.82480I 0
u = 1.37460 − 0.66174I
a = 0.810641 + 1.133750I
b = 0.608069 − 1.149210I
−0.68746 + 12.82480I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.50287 + 0.33146I
a = −0.289135 + 0.368710I
b = 0.359426 − 0.660340I
−5.23827 + 3.77550I 0
u = 1.50287 − 0.33146I
a = −0.289135 − 0.368710I
b = 0.359426 + 0.660340I
−5.23827 − 3.77550I 0
u = −0.279103 + 0.356294I
a = 0.528470 − 0.375605I
b = −0.160230 + 0.336033I
−0.303790 + 1.078580I −4.00000 − 5.77111I
u = −0.279103 − 0.356294I
a = 0.528470 + 0.375605I
b = −0.160230 − 0.336033I
−0.303790 − 1.078580I −4.00000 + 5.77111I
u = −1.41877 + 0.62957I
a = 0.292929 + 1.213900I
b = 0.521980 − 0.839230I
−3.55097 − 4.01750I 0
u = −1.41877 − 0.62957I
a = 0.292929 − 1.213900I
b = 0.521980 + 0.839230I
−3.55097 + 4.01750I 0
u = −1.47254 + 0.76601I
a = −0.462344 − 1.163080I
b = −0.449829 + 1.255960I
1.39302 + 11.02540I 0
u = −1.47254 − 0.76601I
a = −0.462344 + 1.163080I
b = −0.449829 − 1.255960I
1.39302 − 11.02540I 0
u = −0.091974 + 0.233647I
a = −1.38587 − 0.95150I
b = −0.746654 − 0.312678I
−0.89126 − 2.31640I −11.7391 + 10.1305I
u = −0.091974 − 0.233647I
a = −1.38587 + 0.95150I
b = −0.746654 + 0.312678I
−0.89126 + 2.31640I −11.7391 − 10.1305I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.75372 + 0.21271I
a = −0.055424 − 0.497166I
b = 0.419179 + 0.723116I
−3.96258 − 7.99279I 0
u = −1.75372 − 0.21271I
a = −0.055424 + 0.497166I
b = 0.419179 − 0.723116I
−3.96258 + 7.99279I 0
u = 0.11820 + 1.79158I
a = 0.185989 − 1.205870I
b = −0.187375 + 0.906875I
4.93869 − 0.71918I 0
u = 0.11820 − 1.79158I
a = 0.185989 + 1.205870I
b = −0.187375 − 0.906875I
4.93869 + 0.71918I 0
u = −0.46274 + 1.75937I
a = 0.235894 + 1.155100I
b = −0.227905 − 0.975226I
5.26201 − 2.48860I 0
u = −0.46274 − 1.75937I
a = 0.235894 − 1.155100I
b = −0.227905 + 0.975226I
5.26201 + 2.48860I 0
u = −0.0276562 + 0.0637880I
a = −12.04850 − 4.57317I
b = −0.421687 − 1.058820I
1.66565 − 4.60976I −5.82478 + 8.40892I
u = −0.0276562 − 0.0637880I
a = −12.04850 + 4.57317I
b = −0.421687 + 1.058820I
1.66565 + 4.60976I −5.82478 − 8.40892I
24
II.
I
u
2
= h−7.38×10
78
u
56
+2.03×10
79
u
55
+· · ·+4.01×10
78
b−4.19×10
78
, −4.91×
10
78
u
56
+1.94×10
79
u
55
+· · ·+4.01×10
78
a+3.19×10
78
, u
57
−2u
56
+· · ·+7u−1i
(i) Arc colorings
a
5
=
0
u
a
11
=
1
0
a
8
=
1.22451u
56
− 4.82528u
55
+ ··· + 37.2799u − 0.796002
1.83957u
56
− 5.06357u
55
+ ··· − 4.20275u + 1.04465
a
12
=
1
u
2
a
7
=
3.06408u
56
− 9.88885u
55
+ ··· + 33.0771u + 0.248644
1.83957u
56
− 5.06357u
55
+ ··· − 4.20275u + 1.04465
a
1
=
−0.475622u
56
+ 3.85623u
55
+ ··· − 67.8473u + 14.0628
1.44975u
56
− 4.30705u
55
+ ··· + 11.6490u − 3.28486
a
9
=
−2.21652u
56
+ 5.22434u
55
+ ··· + 27.1883u − 8.52593
−0.236865u
56
+ 0.519938u
55
+ ··· − 1.77978u + 1.69596
a
10
=
−3.33384u
56
+ 7.60236u
55
+ ··· + 32.4235u − 8.39523
−6.02667u
56
+ 15.9501u
55
+ ··· − 54.8294u + 8.11628
a
4
=
2.10191u
56
− 1.91308u
55
+ ··· − 115.819u + 15.3197
−1.06323u
56
+ 0.812994u
55
+ ··· + 2.82622u − 3.06330
a
2
=
−2.23749u
56
+ 6.32934u
55
+ ··· − 18.2282u − 2.71256
0.135843u
56
− 1.08798u
55
+ ··· − 7.02066u + 0.748556
a
3
=
−1.23657u
56
+ 3.19390u
55
+ ··· − 19.6814u − 2.62616
0.412526u
56
− 1.83711u
55
+ ··· + 3.36866u − 0.471444
a
6
=
−u
−u
3
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −9.62885u
56
+ 20.3762u
55
+ ··· + 102.911u − 11.3756
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
57
− 4u
56
+ ··· + 10u − 1
c
2
u
57
− u
56
+ ··· + 3u − 1
c
3
u
57
+ u
56
+ ··· − 6u + 1
c
4
u
57
+ u
56
+ ··· + 3759u + 637
c
5
u
57
+ 2u
56
+ ··· + 7u + 1
c
6
u
57
+ u
56
+ ··· + 3u + 1
c
7
u
57
− 16u
56
+ ··· + 91u − 11
c
8
u
57
− u
56
+ ··· + 74u + 7
c
9
u
57
+ 18u
55
+ ··· − 4u + 1
c
10
u
57
+ 16u
56
+ ··· + 91u + 11
c
11
u
57
− 2u
56
+ ··· + 7u − 1
c
12
u
57
− u
56
+ ··· + 21u − 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
57
+ 4y
56
+ ··· + 14y −1
c
2
, c
6
y
57
− 23y
56
+ ··· + 45y −1
c
3
y
57
+ 21y
56
+ ··· − 34y −1
c
4
y
57
− 23y
56
+ ··· + 336483y −405769
c
5
, c
11
y
57
− 34y
56
+ ··· + 9y −1
c
7
, c
10
y
57
+ 32y
56
+ ··· − 4611y −121
c
8
y
57
+ 15y
56
+ ··· + 1724y −49
c
9
y
57
+ 36y
56
+ ··· − 2y −1
c
12
y
57
− 15y
56
+ ··· − 665y −1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.994933 + 0.071393I
a = −0.350556 + 0.214306I
b = −2.21775 + 0.12150I
−7.55452 − 0.28563I 1.5711 + 33.0820I
u = 0.994933 − 0.071393I
a = −0.350556 − 0.214306I
b = −2.21775 − 0.12150I
−7.55452 + 0.28563I 1.5711 − 33.0820I
u = −0.960396 + 0.331067I
a = 1.04492 + 2.46046I
b = 0.314992 − 1.104230I
−2.42326 + 6.56171I −4.00000 − 9.77974I
u = −0.960396 − 0.331067I
a = 1.04492 − 2.46046I
b = 0.314992 + 1.104230I
−2.42326 − 6.56171I −4.00000 + 9.77974I
u = −0.150772 + 1.007700I
a = 0.031440 + 1.360360I
b = −0.352624 − 1.142950I
3.65068 − 4.95190I 0. + 4.48791I
u = −0.150772 − 1.007700I
a = 0.031440 − 1.360360I
b = −0.352624 + 1.142950I
3.65068 + 4.95190I 0. − 4.48791I
u = −0.876492 + 0.326823I
a = −1.24014 − 0.84719I
b = −0.69420 + 1.32240I
1.58889 + 3.54667I 2.92002 − 5.61145I
u = −0.876492 − 0.326823I
a = −1.24014 + 0.84719I
b = −0.69420 − 1.32240I
1.58889 − 3.54667I 2.92002 + 5.61145I
u = 0.344698 + 1.053390I
a = −0.02435 − 1.76594I
b = −0.191235 + 0.708170I
1.72891 − 2.67435I 0
u = 0.344698 − 1.053390I
a = −0.02435 + 1.76594I
b = −0.191235 − 0.708170I
1.72891 + 2.67435I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.778378 + 0.380392I
a = 2.54792 − 2.71099I
b = 0.254937 + 0.869404I
0.72652 − 9.58756I −1.55118 + 11.87973I
u = 0.778378 − 0.380392I
a = 2.54792 + 2.71099I
b = 0.254937 − 0.869404I
0.72652 + 9.58756I −1.55118 − 11.87973I
u = −1.081040 + 0.373836I
a = 0.66609 + 1.60068I
b = 0.384509 − 0.910068I
−3.62681 − 1.11472I 0
u = −1.081040 − 0.373836I
a = 0.66609 − 1.60068I
b = 0.384509 + 0.910068I
−3.62681 + 1.11472I 0
u = −0.817016 + 0.183511I
a = 0.403455 + 0.919297I
b = −0.23766 − 1.67338I
2.27335 − 1.05986I −1.72638 − 1.69049I
u = −0.817016 − 0.183511I
a = 0.403455 − 0.919297I
b = −0.23766 + 1.67338I
2.27335 + 1.05986I −1.72638 + 1.69049I
u = −0.780735 + 0.155515I
a = 2.22502 + 0.97714I
b = 0.607468 − 0.649183I
−3.37067 + 4.79425I −9.30975 − 9.76431I
u = −0.780735 − 0.155515I
a = 2.22502 − 0.97714I
b = 0.607468 + 0.649183I
−3.37067 − 4.79425I −9.30975 + 9.76431I
u = −1.229000 + 0.023417I
a = −0.192599 + 0.088995I
b = 0.579991 − 0.317971I
−5.46269 + 4.25092I 0
u = −1.229000 − 0.023417I
a = −0.192599 − 0.088995I
b = 0.579991 + 0.317971I
−5.46269 − 4.25092I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.743293 + 0.099833I
a = 1.266700 + 0.254376I
b = 0.15648 − 1.46503I
2.84086 − 7.32387I −2.59048 + 7.71533I
u = 0.743293 − 0.099833I
a = 1.266700 − 0.254376I
b = 0.15648 + 1.46503I
2.84086 + 7.32387I −2.59048 − 7.71533I
u = −1.218260 + 0.356327I
a = −0.217425 − 0.143385I
b = −1.040260 − 0.077134I
−3.51520 + 5.09996I 0
u = −1.218260 − 0.356327I
a = −0.217425 + 0.143385I
b = −1.040260 + 0.077134I
−3.51520 − 5.09996I 0
u = −1.246190 + 0.252115I
a = −0.637734 + 0.487405I
b = 0.094092 + 0.530767I
−4.62823 + 4.10817I 0
u = −1.246190 − 0.252115I
a = −0.637734 − 0.487405I
b = 0.094092 − 0.530767I
−4.62823 − 4.10817I 0
u = 1.256840 + 0.224611I
a = −0.75814 + 1.21163I
b = −0.259768 − 1.359050I
0.03733 − 7.67551I 0
u = 1.256840 − 0.224611I
a = −0.75814 − 1.21163I
b = −0.259768 + 1.359050I
0.03733 + 7.67551I 0
u = 1.130050 + 0.596182I
a = −0.836660 + 1.015450I
b = −0.730072 − 1.038780I
−2.86621 − 5.35133I 0
u = 1.130050 − 0.596182I
a = −0.836660 − 1.015450I
b = −0.730072 + 1.038780I
−2.86621 + 5.35133I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.324546 + 0.607871I
a = 0.446378 + 0.032284I
b = −0.750455 − 0.198108I
−0.48297 − 1.59898I −5.31222 + 1.42151I
u = −0.324546 − 0.607871I
a = 0.446378 − 0.032284I
b = −0.750455 + 0.198108I
−0.48297 + 1.59898I −5.31222 − 1.42151I
u = −0.051332 + 0.666914I
a = 0.41413 − 2.64307I
b = −0.443723 + 1.126480I
2.18130 + 2.83710I −2.34308 − 5.90874I
u = −0.051332 − 0.666914I
a = 0.41413 + 2.64307I
b = −0.443723 − 1.126480I
2.18130 − 2.83710I −2.34308 + 5.90874I
u = 1.42122
a = −0.101282
b = −1.27550
−7.11837 0
u = 1.39888 + 0.32239I
a = −0.638513 + 1.059850I
b = −0.67469 − 1.37423I
−2.95656 − 6.79733I 0
u = 1.39888 − 0.32239I
a = −0.638513 − 1.059850I
b = −0.67469 + 1.37423I
−2.95656 + 6.79733I 0
u = 1.38544 + 0.38993I
a = −0.308483 − 0.267286I
b = −0.660882 + 0.643259I
−4.15475 + 0.08964I 0
u = 1.38544 − 0.38993I
a = −0.308483 + 0.267286I
b = −0.660882 − 0.643259I
−4.15475 − 0.08964I 0
u = −1.43914 + 0.12493I
a = −0.170469 + 0.230835I
b = 0.204311 + 0.801841I
−4.38402 − 3.85670I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43914 − 0.12493I
a = −0.170469 − 0.230835I
b = 0.204311 − 0.801841I
−4.38402 + 3.85670I 0
u = −1.32963 + 0.61775I
a = −0.774505 − 1.161800I
b = −0.598276 + 1.259310I
−0.05810 + 10.83920I 0
u = −1.32963 − 0.61775I
a = −0.774505 + 1.161800I
b = −0.598276 − 1.259310I
−0.05810 − 10.83920I 0
u = 1.46626 + 0.11567I
a = −0.838567 + 0.354350I
b = −0.423468 − 0.779505I
−3.45227 − 1.88395I 0
u = 1.46626 − 0.11567I
a = −0.838567 − 0.354350I
b = −0.423468 + 0.779505I
−3.45227 + 1.88395I 0
u = 1.51795 + 0.00774I
a = −0.456478 + 0.307171I
b = 0.032933 + 0.752920I
−2.73702 − 7.18094I 0
u = 1.51795 − 0.00774I
a = −0.456478 − 0.307171I
b = 0.032933 − 0.752920I
−2.73702 + 7.18094I 0
u = 0.403466 + 0.186961I
a = 4.71069 − 0.63217I
b = −0.096225 + 0.383355I
2.10549 + 0.26160I −2.44805 + 9.82010I
u = 0.403466 − 0.186961I
a = 4.71069 + 0.63217I
b = −0.096225 − 0.383355I
2.10549 − 0.26160I −2.44805 − 9.82010I
u = −0.008608 + 0.387274I
a = −1.39726 + 1.60193I
b = −0.208240 − 1.331230I
4.18559 − 4.86918I 3.88852 + 2.80453I
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.008608 − 0.387274I
a = −1.39726 − 1.60193I
b = −0.208240 + 1.331230I
4.18559 + 4.86918I 3.88852 − 2.80453I
u = −0.06951 + 1.62323I
a = 0.281112 + 1.144090I
b = −0.129693 − 1.004330I
5.40324 + 0.94954I 0
u = −0.06951 − 1.62323I
a = 0.281112 − 1.144090I
b = −0.129693 + 1.004330I
5.40324 − 0.94954I 0
u = 0.29129 + 1.66511I
a = 0.337563 − 1.253950I
b = −0.116904 + 0.961854I
5.22634 + 1.94690I 0
u = 0.29129 − 1.66511I
a = 0.337563 + 1.253950I
b = −0.116904 − 0.961854I
5.22634 − 1.94690I 0
u = 0.160584 + 0.163860I
a = 5.51709 + 2.32107I
b = −0.165830 − 1.258160I
5.18967 − 1.29559I 5.25505 + 2.65650I
u = 0.160584 − 0.163860I
a = 5.51709 − 2.32107I
b = −0.165830 + 1.258160I
5.18967 + 1.29559I 5.25505 − 2.65650I
35
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
57
− 4u
56
+ ··· + 10u − 1)(u
198
− 13u
197
+ ··· − 79u + 47)
c
2
(u
57
− u
56
+ ··· + 3u − 1)(u
198
− 44u
196
+ ··· + 4u − 1)
c
3
(u
57
+ u
56
+ ··· − 6u + 1)(u
198
− 2u
197
+ ··· − 317u − 23)
c
4
(u
57
+ u
56
+ ··· + 3759u + 637)
· (u
198
− 32u
196
+ ··· + 16388029166u − 6212469373)
c
5
(u
57
+ 2u
56
+ ··· + 7u + 1)(u
198
+ u
197
+ ··· − 1502406u − 89033)
c
6
(u
57
+ u
56
+ ··· + 3u + 1)(u
198
− 44u
196
+ ··· + 4u − 1)
c
7
(u
57
− 16u
56
+ ··· + 91u − 11)(u
198
+ 15u
197
+ ··· − 46454u + 12173)
c
8
(u
57
− u
56
+ ··· + 74u + 7)(u
198
− 7u
196
+ ··· − 6925u − 181)
c
9
(u
57
+ 18u
55
+ ··· − 4u + 1)(u
198
+ 3u
197
+ ··· + 18797u − 3181)
c
10
(u
57
+ 16u
56
+ ··· + 91u + 11)(u
198
+ 15u
197
+ ··· − 46454u + 12173)
c
11
(u
57
− 2u
56
+ ··· + 7u − 1)(u
198
+ u
197
+ ··· − 1502406u − 89033)
c
12
(u
57
− u
56
+ ··· + 21u − 1)(u
198
− 12u
196
+ ··· − 4308718u − 110767)
36
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
57
+ 4y
56
+ ··· + 14y −1)(y
198
− 9y
197
+ ··· − 185029y + 2209)
c
2
, c
6
(y
57
− 23y
56
+ ··· + 45y −1)(y
198
− 88y
197
+ ··· − 48y + 1)
c
3
(y
57
+ 21y
56
+ ··· − 34y −1)(y
198
+ 28y
197
+ ··· + 36775y + 529)
c
4
(y
57
− 23y
56
+ ··· + 336483y −405769)
· (y
198
− 64y
197
+ ··· − 7.98 × 10
20
y + 3.86 × 10
19
)
c
5
, c
11
(y
57
− 34y
56
+ ··· + 9y −1)
· (y
198
− 119y
197
+ ··· + 2069262907500y + 7926875089)
c
7
, c
10
(y
57
+ 32y
56
+ ··· − 4611y −121)
· (y
198
+ 107y
197
+ ··· + 8292010772y + 148181929)
c
8
(y
57
+ 15y
56
+ ··· + 1724y −49)
· (y
198
− 14y
197
+ ··· − 8988859y + 32761)
c
9
(y
57
+ 36y
56
+ ··· − 2y −1)
· (y
198
+ 47y
197
+ ··· + 695194011y + 10118761)
c
12
(y
57
− 15y
56
+ ··· − 665y −1)
· (y
198
− 24y
197
+ ··· − 172765777322y + 12269328289)
37
