12a
1251
(K12a
1251
)
A knot diagram
1
Linearized knot diagam
5 7 8 10 9 12 11 1 2 4 3 6
Solving Sequence
2,5 1,10
4 11 9 6 8 3 7 12
c
1
c
4
c
10
c
9
c
5
c
8
c
3
c
7
c
12
c
2
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h5.41545 × 10
45
u
37
+ 1.08996 × 10
47
u
36
+ ··· + 6.38981 × 10
46
b − 4.06452 × 10
47
,
4.21436 × 10
47
u
37
− 5.72689 × 10
47
u
36
+ ··· + 6.38981 × 10
46
a − 6.24484 × 10
47
, u
38
− u
37
+ ··· − 9u − 1i
I
u
2
= h1.93258 × 10
942
u
139
+ 1.35995 × 10
941
u
138
+ ··· + 1.25727 × 10
946
b + 8.29635 × 10
946
,
− 7.36045 × 10
947
u
139
+ 2.14268 × 10
946
u
138
+ ··· + 1.30768 × 10
950
a + 3.16361 × 10
951
,
u
140
+ 12u
138
+ ··· + 54306u + 10401i
I
u
3
= h5.84926 × 10
78
u
43
+ 2.23945 × 10
79
u
42
+ ··· + 7.36510 × 10
78
b + 3.17801 × 10
79
,
− 7.36354 × 10
78
u
43
− 2.10865 × 10
79
u
42
+ ··· + 2.45503 × 10
78
a − 1.10180 × 10
79
, u
44
+ 3u
43
+ ··· + 6u + 1i
I
u
4
= hb + u, a, u
2
− u + 1i
* 4 irreducible components of dim
C
= 0, with total 224 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
= h5.42 × 10
45
u
37
+ 1.09 × 10
47
u
36
+ · · · + 6.39 × 10
46
b − 4.06 × 10
47
, 4.21 ×
10
47
u
37
−5.73×10
47
u
36
+· · ·+6.39×10
46
a−6.24×10
47
, u
38
−u
37
+· · ·−9u−1i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
1
=
1
−u
2
a
10
=
−6.59544u
37
+ 8.96254u
36
+ ··· + 82.8273u + 9.77312
−0.0847514u
37
− 1.70577u
36
+ ··· + 42.9121u + 6.36094
a
4
=
−6.42624u
37
+ 9.22886u
36
+ ··· + 19.2650u + 1.75561
0.910048u
37
− 2.06794u
36
+ ··· − 2.54449u − 0.660358
a
11
=
8.60481u
37
− 10.8610u
36
+ ··· − 101.127u − 12.6893
−2.24228u
37
+ 1.54603u
36
+ ··· + 55.9095u + 7.23400
a
9
=
−6.68019u
37
+ 7.25676u
36
+ ··· + 125.739u + 16.1341
−0.0847514u
37
− 1.70577u
36
+ ··· + 42.9121u + 6.36094
a
6
=
−7.56505u
37
+ 10.8064u
36
+ ··· − 8.83701u − 3.28785
−2.04886u
37
+ 3.64546u
36
+ ··· − 23.5575u − 4.38310
a
8
=
−7.23400u
37
+ 9.47628u
36
+ ··· + 84.3183u + 9.19655
−0.142437u
37
− 0.423822u
36
+ ··· + 28.4746u + 4.69524
a
3
=
−4.16928u
37
+ 7.04773u
36
+ ··· − 22.3735u − 2.69198
3.39814u
37
− 2.23185u
36
+ ··· − 81.7143u − 11.1789
a
7
=
−4.97785u
37
+ 9.43787u
36
+ ··· + 19.5643u + 0.591739
0.553812u
37
− 2.21951u
36
+ ··· + 41.4211u + 6.93751
a
12
=
−0.515910u
37
+ 0.638113u
36
+ ··· − 59.9990u − 12.7552
−3.06293u
37
+ 4.04695u
36
+ ··· + 17.0847u + 0.406432
(ii) Obstruction class = −1
(iii) Cusp Shapes = −12.1292u
37
+ 7.88921u
36
+ ··· + 89.0283u + 5.29741
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
38
+ u
37
+ ··· + 9u − 1
c
2
, c
8
u
38
+ u
37
+ ··· + 3u + 1
c
3
, c
9
u
38
− u
37
+ ··· − 3u + 1
c
4
, c
10
u
38
− 5u
37
+ ··· + 1968u − 260
c
5
, c
11
u
38
− u
37
+ ··· − 9u − 1
c
6
, c
12
u
38
+ 5u
37
+ ··· − 1968u − 260
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
38
− 3y
37
+ ··· − 7y + 1
c
2
, c
3
, c
8
c
9
y
38
+ 11y
37
+ ··· − 9y + 1
c
4
, c
6
, c
10
c
12
y
38
+ 23y
37
+ ··· − 657344y + 67600
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.968211 + 0.099082I
a = 0.401521 − 0.037333I
b = −0.802971 − 0.684067I
−6.09133 + 2.82939I −12.39412 − 2.25794I
u = 0.968211 − 0.099082I
a = 0.401521 + 0.037333I
b = −0.802971 + 0.684067I
−6.09133 − 2.82939I −12.39412 + 2.25794I
u = 0.922908
a = −1.81558
b = 0.594003
−0.408756 −21.5410
u = 0.720784 + 0.523136I
a = 0.55211 − 1.81656I
b = −0.618829 − 0.151609I
−4.50176 − 6.57911I −7.6096 + 11.9321I
u = 0.720784 − 0.523136I
a = 0.55211 + 1.81656I
b = −0.618829 + 0.151609I
−4.50176 + 6.57911I −7.6096 − 11.9321I
u = −1.12740
a = −1.26510
b = 0.446488
0.408756 21.5410
u = −0.600621 + 0.958137I
a = 1.167140 − 0.465471I
b = −1.090910 + 0.751718I
3.33253 + 3.84409I 1.41355 − 3.81235I
u = −0.600621 − 0.958137I
a = 1.167140 + 0.465471I
b = −1.090910 − 0.751718I
3.33253 − 3.84409I 1.41355 + 3.81235I
u = 0.763304 + 0.285378I
a = −0.769399 + 0.299416I
b = 0.641337 + 0.167735I
−1.42108 − 0.29384I −6.42575 − 0.42207I
u = 0.763304 − 0.285378I
a = −0.769399 − 0.299416I
b = 0.641337 − 0.167735I
−1.42108 + 0.29384I −6.42575 + 0.42207I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.313558 + 0.748788I
a = −1.84466 − 0.27944I
b = 0.107405 − 1.317060I
3.85199 + 3.54385I 6.26632 − 12.05234I
u = −0.313558 − 0.748788I
a = −1.84466 + 0.27944I
b = 0.107405 + 1.317060I
3.85199 − 3.54385I 6.26632 + 12.05234I
u = −0.317210 + 0.738243I
a = −1.62595 + 0.37185I
b = 1.03695 − 1.43027I
6.09133 + 2.82939I 12.39412 − 2.25794I
u = −0.317210 − 0.738243I
a = −1.62595 − 0.37185I
b = 1.03695 + 1.43027I
6.09133 − 2.82939I 12.39412 + 2.25794I
u = −0.969222 + 0.842096I
a = 0.963939 + 0.355295I
b = −0.824258 + 0.634902I
8.69452I 0. − 12.41317I
u = −0.969222 − 0.842096I
a = 0.963939 − 0.355295I
b = −0.824258 − 0.634902I
− 8.69452I 0. + 12.41317I
u = −0.276258 + 0.623777I
a = 1.67633 − 0.36759I
b = −0.67294 + 2.23248I
2.19412 + 1.25898I 0.90146 − 4.40538I
u = −0.276258 − 0.623777I
a = 1.67633 + 0.36759I
b = −0.67294 − 2.23248I
2.19412 − 1.25898I 0.90146 + 4.40538I
u = −0.922652 + 0.956457I
a = −0.870010 − 0.455985I
b = 1.098310 − 0.762936I
−6.0882 + 14.6929I −3.35386 − 10.24839I
u = −0.922652 − 0.956457I
a = −0.870010 + 0.455985I
b = 1.098310 + 0.762936I
−6.0882 − 14.6929I −3.35386 + 10.24839I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.267862 + 0.556164I
a = 2.84678 − 0.60784I
b = −0.324135 + 0.855181I
5.02615 + 1.33424I 10.68384 − 4.00875I
u = −0.267862 − 0.556164I
a = 2.84678 + 0.60784I
b = −0.324135 − 0.855181I
5.02615 − 1.33424I 10.68384 + 4.00875I
u = −1.44047 + 0.11070I
a = −0.120309 + 0.887526I
b = 0.344050 − 1.303370I
−2.19412 − 1.25898I 0
u = −1.44047 − 0.11070I
a = −0.120309 − 0.887526I
b = 0.344050 + 1.303370I
−2.19412 + 1.25898I 0
u = −0.81328 + 1.33675I
a = −0.457106 + 0.006304I
b = 0.849741 − 0.044800I
−5.02615 − 1.33424I 0
u = −0.81328 − 1.33675I
a = −0.457106 − 0.006304I
b = 0.849741 + 0.044800I
−5.02615 + 1.33424I 0
u = 0.94529 + 1.26888I
a = 0.965645 + 0.331885I
b = −1.25182 − 1.29006I
− 20.8093I 0
u = 0.94529 − 1.26888I
a = 0.965645 − 0.331885I
b = −1.25182 + 1.29006I
20.8093I 0
u = −0.231065 + 0.320032I
a = −0.17217 − 1.64494I
b = −0.373634 − 0.346076I
1.42108 + 0.29384I 6.42575 + 0.42207I
u = −0.231065 − 0.320032I
a = −0.17217 + 1.64494I
b = −0.373634 + 0.346076I
1.42108 − 0.29384I 6.42575 − 0.42207I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.95520 + 1.34300I
a = −0.919074 − 0.295860I
b = 1.06753 + 1.08845I
6.0882 − 14.6929I 0
u = 0.95520 − 1.34300I
a = −0.919074 + 0.295860I
b = 1.06753 − 1.08845I
6.0882 + 14.6929I 0
u = −0.320051 + 0.098884I
a = 0.06483 + 2.75766I
b = 0.803936 + 0.504458I
−3.33253 + 3.84409I −1.41355 − 3.81235I
u = −0.320051 − 0.098884I
a = 0.06483 − 2.75766I
b = 0.803936 − 0.504458I
−3.33253 − 3.84409I −1.41355 + 3.81235I
u = 0.98153 + 1.45353I
a = 0.831832 + 0.178309I
b = −0.849035 − 0.685813I
4.50176 − 6.57911I 0
u = 0.98153 − 1.45353I
a = 0.831832 − 0.178309I
b = −0.849035 + 0.685813I
4.50176 + 6.57911I 0
u = 1.74017 + 0.80024I
a = −0.151098 − 0.523665I
b = −0.160972 + 0.236880I
−3.85199 + 3.54385I 0
u = 1.74017 − 0.80024I
a = −0.151098 + 0.523665I
b = −0.160972 − 0.236880I
−3.85199 − 3.54385I 0
8
II. I
u
2
= h1.93 × 10
942
u
139
+ 1.36 × 10
941
u
138
+ · · · + 1.26 × 10
946
b + 8.30 ×
10
946
, −7.36 × 10
947
u
139
+ 2.14 × 10
946
u
138
+ · · · + 1.31 × 10
950
a + 3.16 ×
10
951
, u
140
+ 12u
138
+ · · · + 54306u + 10401i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
1
=
1
−u
2
a
10
=
0.00562862u
139
− 0.000163853u
138
+ ··· + 116.482u − 24.1925
−0.000153713u
139
− 0.0000108168u
138
+ ··· − 51.8041u − 6.59872
a
4
=
0.00582107u
139
− 0.00216164u
138
+ ··· − 297.717u − 83.6275
−0.00138482u
139
− 0.000452467u
138
+ ··· − 181.344u − 19.2547
a
11
=
0.00272863u
139
− 0.00304649u
138
+ ··· − 576.031u − 104.088
0.000334281u
139
− 0.000906312u
138
+ ··· − 62.9029u − 15.7146
a
9
=
0.00547491u
139
− 0.000174670u
138
+ ··· + 64.6777u − 30.7912
−0.000153713u
139
− 0.0000108168u
138
+ ··· − 51.8041u − 6.59872
a
6
=
0.00446024u
139
− 0.00295521u
138
+ ··· − 561.134u − 115.140
0.0000239840u
139
− 0.000341102u
138
+ ··· − 80.0729u − 12.2574
a
8
=
0.00727880u
139
+ 0.0000415565u
138
+ ··· + 163.941u − 26.0092
0.000511692u
139
+ 0.0000718818u
138
+ ··· − 21.2994u − 4.34975
a
3
=
0.00444084u
139
− 0.00312167u
138
+ ··· − 550.988u − 107.315
0.000929956u
139
− 0.0000740184u
138
+ ··· − 10.8583u − 4.88679
a
7
=
−0.00462116u
139
+ 0.0000891687u
138
+ ··· + 177.520u + 47.1196
−0.000737727u
139
− 0.000616594u
138
+ ··· − 91.7030u − 13.5757
a
12
=
−0.000463728u
139
− 0.00480298u
138
+ ··· − 881.879u − 163.598
−0.00146877u
139
− 0.00111609u
138
+ ··· − 227.563u − 36.3600
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.00535623u
139
− 0.00670142u
138
+ ··· − 1311.85u − 217.480
9
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
140
+ 12u
138
+ ··· − 54306u + 10401
c
2
, c
8
u
140
+ u
139
+ ··· − 96505u + 4729
c
3
, c
9
u
140
− u
139
+ ··· + 96505u + 4729
c
4
, c
10
(u
70
+ 2u
69
+ ··· + 1179u − 211)
2
c
5
, c
11
u
140
+ 12u
138
+ ··· + 54306u + 10401
c
6
, c
12
(u
70
− 2u
69
+ ··· − 1179u − 211)
2
10
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
140
+ 24y
139
+ ··· + 6449867628y + 108180801
c
2
, c
3
, c
8
c
9
y
140
+ 33y
139
+ ··· − 890326919y + 22363441
c
4
, c
6
, c
10
c
12
(y
70
+ 50y
69
+ ··· − 865495y + 44521)
2
11
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.260607 + 0.957647I
a = 1.076760 − 0.047164I
b = −0.17973 + 1.61195I
3.61200 + 0.98906I 0
u = −0.260607 − 0.957647I
a = 1.076760 + 0.047164I
b = −0.17973 − 1.61195I
3.61200 − 0.98906I 0
u = 0.315607 + 0.938612I
a = −1.310900 + 0.087179I
b = 0.404767 + 0.995005I
− 4.95068I 0
u = 0.315607 − 0.938612I
a = −1.310900 − 0.087179I
b = 0.404767 − 0.995005I
4.95068I 0
u = 0.390897 + 0.900603I
a = 1.61401 + 0.05652I
b = −0.384643 − 1.255120I
2.07145 − 12.42820I 0
u = 0.390897 − 0.900603I
a = 1.61401 − 0.05652I
b = −0.384643 + 1.255120I
2.07145 + 12.42820I 0
u = 0.845309 + 0.568360I
a = 0.942280 + 0.931931I
b = −0.89869 − 1.69407I
2.81456 − 7.38758I 0
u = 0.845309 − 0.568360I
a = 0.942280 − 0.931931I
b = −0.89869 + 1.69407I
2.81456 + 7.38758I 0
u = −0.967287 + 0.122879I
a = 0.003203 + 1.226480I
b = 0.329864 − 0.011835I
−3.10613 + 3.74546I 0
u = −0.967287 − 0.122879I
a = 0.003203 − 1.226480I
b = 0.329864 + 0.011835I
−3.10613 − 3.74546I 0
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.685126 + 0.772834I
a = −1.23616 + 0.88689I
b = 0.030831 − 0.820977I
3.53444 + 0.13727I 0
u = −0.685126 − 0.772834I
a = −1.23616 − 0.88689I
b = 0.030831 + 0.820977I
3.53444 − 0.13727I 0
u = −0.559810 + 0.759792I
a = −0.029368 − 0.290599I
b = 0.196776 − 0.949676I
1.99898 + 2.39251I 0
u = −0.559810 − 0.759792I
a = −0.029368 + 0.290599I
b = 0.196776 + 0.949676I
1.99898 − 2.39251I 0
u = 0.580972 + 0.722903I
a = 0.335188 − 0.330442I
b = −0.337362 + 0.975889I
1.42365 − 4.02526I 0
u = 0.580972 − 0.722903I
a = 0.335188 + 0.330442I
b = −0.337362 − 0.975889I
1.42365 + 4.02526I 0
u = 0.449147 + 0.980408I
a = 0.209901 − 0.346117I
b = −0.708833 − 0.783820I
1.42365 − 4.02526I 0
u = 0.449147 − 0.980408I
a = 0.209901 + 0.346117I
b = −0.708833 + 0.783820I
1.42365 + 4.02526I 0
u = −0.392217 + 1.008780I
a = −0.200302 − 0.157294I
b = 0.133244 + 0.765577I
1.99898 − 2.39251I 0
u = −0.392217 − 1.008780I
a = −0.200302 + 0.157294I
b = 0.133244 − 0.765577I
1.99898 + 2.39251I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.351304 + 0.842177I
a = 1.51267 − 0.82276I
b = −0.150332 + 0.267043I
3.53444 − 0.13727I 0
u = −0.351304 − 0.842177I
a = 1.51267 + 0.82276I
b = −0.150332 − 0.267043I
3.53444 + 0.13727I 0
u = −0.542115 + 0.715651I
a = 0.049500 − 1.400900I
b = 0.859124 − 0.459279I
−5.16564 − 3.33643I 0
u = −0.542115 − 0.715651I
a = 0.049500 + 1.400900I
b = 0.859124 + 0.459279I
−5.16564 + 3.33643I 0
u = 0.252790 + 1.081740I
a = 1.123190 + 0.239963I
b = −0.207075 − 0.756252I
5.37530 + 2.73843I 0
u = 0.252790 − 1.081740I
a = 1.123190 − 0.239963I
b = −0.207075 + 0.756252I
5.37530 − 2.73843I 0
u = −0.425482 + 0.780133I
a = 1.52214 − 0.52417I
b = −1.78000 + 0.70554I
3.10613 + 3.74546I 0
u = −0.425482 − 0.780133I
a = 1.52214 + 0.52417I
b = −1.78000 − 0.70554I
3.10613 − 3.74546I 0
u = 0.732165 + 0.841538I
a = −0.747634 + 0.323942I
b = 1.196470 + 0.086638I
−2.58879 − 0.27761I 0
u = 0.732165 − 0.841538I
a = −0.747634 − 0.323942I
b = 1.196470 − 0.086638I
−2.58879 + 0.27761I 0
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.257395 + 0.819091I
a = 1.36106 − 0.62195I
b = −1.14289 + 1.39217I
6.17925 + 0.85610I 0
u = −0.257395 − 0.819091I
a = 1.36106 + 0.62195I
b = −1.14289 − 1.39217I
6.17925 − 0.85610I 0
u = −0.535561 + 0.661055I
a = 0.083913 + 1.082100I
b = −0.653843 + 0.804828I
−5.37530 + 2.73843I 0
u = −0.535561 − 0.661055I
a = 0.083913 − 1.082100I
b = −0.653843 − 0.804828I
−5.37530 − 2.73843I 0
u = 0.801077 + 0.270434I
a = −0.83332 − 1.45240I
b = 1.20701 + 1.95684I
−0.55813 − 9.85968I 0
u = 0.801077 − 0.270434I
a = −0.83332 + 1.45240I
b = 1.20701 − 1.95684I
−0.55813 + 9.85968I 0
u = 0.790072 + 0.860480I
a = −0.109716 + 0.782801I
b = 0.938165 − 0.315917I
−5.37530 − 2.73843I 0
u = 0.790072 − 0.860480I
a = −0.109716 − 0.782801I
b = 0.938165 + 0.315917I
−5.37530 + 2.73843I 0
u = 0.524348 + 1.048140I
a = 0.029965 + 0.428280I
b = 0.852322 + 0.746485I
−2.81456 − 7.38758I 0
u = 0.524348 − 1.048140I
a = 0.029965 − 0.428280I
b = 0.852322 − 0.746485I
−2.81456 + 7.38758I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.274817 + 0.772107I
a = −0.786101 + 0.782232I
b = 0.184822 + 0.577082I
−2.58879 − 0.27761I 0
u = 0.274817 − 0.772107I
a = −0.786101 − 0.782232I
b = 0.184822 − 0.577082I
−2.58879 + 0.27761I 0
u = 0.848636 + 0.821513I
a = −0.795598 + 0.027066I
b = 0.902479 + 0.764781I
−1.99898 − 2.39251I 0
u = 0.848636 − 0.821513I
a = −0.795598 − 0.027066I
b = 0.902479 − 0.764781I
−1.99898 + 2.39251I 0
u = −0.002098 + 1.185280I
a = −1.267330 − 0.044236I
b = 0.144454 + 0.160431I
3.75251 + 6.23561I 0
u = −0.002098 − 1.185280I
a = −1.267330 + 0.044236I
b = 0.144454 − 0.160431I
3.75251 − 6.23561I 0
u = 0.245867 + 0.769791I
a = −2.03841 − 0.02255I
b = 0.453064 + 0.862653I
6.07769 − 7.63458I 0
u = 0.245867 − 0.769791I
a = −2.03841 + 0.02255I
b = 0.453064 − 0.862653I
6.07769 + 7.63458I 0
u = 1.186010 + 0.149076I
a = −0.046126 − 0.980985I
b = −0.14851 + 1.58671I
−3.61200 + 0.98906I 0
u = 1.186010 − 0.149076I
a = −0.046126 + 0.980985I
b = −0.14851 − 1.58671I
−3.61200 − 0.98906I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.856067 + 0.834835I
a = 0.553916 + 0.576593I
b = −0.758993 + 0.732139I
−6.07769 + 7.63458I 0
u = −0.856067 − 0.834835I
a = 0.553916 − 0.576593I
b = −0.758993 − 0.732139I
−6.07769 − 7.63458I 0
u = 0.822452 + 0.885058I
a = 0.725507 − 0.856629I
b = −1.092770 − 0.474982I
−2.64550 − 5.63372I 0
u = 0.822452 − 0.885058I
a = 0.725507 + 0.856629I
b = −1.092770 + 0.474982I
−2.64550 + 5.63372I 0
u = 0.829334 + 0.888333I
a = −0.796515 − 0.482925I
b = 0.85173 + 1.62859I
−3.75251 − 6.23561I 0
u = 0.829334 − 0.888333I
a = −0.796515 + 0.482925I
b = 0.85173 − 1.62859I
−3.75251 + 6.23561I 0
u = −1.214780 + 0.090690I
a = −0.351160 + 1.001060I
b = 0.078998 − 0.385780I
2.58879 − 0.27761I 0
u = −1.214780 − 0.090690I
a = −0.351160 − 1.001060I
b = 0.078998 + 0.385780I
2.58879 + 0.27761I 0
u = 0.470023 + 0.619470I
a = −0.074483 + 0.642767I
b = 0.14929 − 1.95058I
−2.81456 − 7.38758I 0
u = 0.470023 − 0.619470I
a = −0.074483 − 0.642767I
b = 0.14929 + 1.95058I
−2.81456 + 7.38758I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.152637 + 0.759225I
a = −1.65449 + 0.12307I
b = 0.286800 − 1.290370I
6.17925 − 0.85610I 0
u = −0.152637 − 0.759225I
a = −1.65449 − 0.12307I
b = 0.286800 + 1.290370I
6.17925 + 0.85610I 0
u = −0.471425 + 1.133980I
a = 1.135180 − 0.261406I
b = −0.925210 + 1.027120I
3.10613 + 3.74546I 0
u = −0.471425 − 1.133980I
a = 1.135180 + 0.261406I
b = −0.925210 − 1.027120I
3.10613 − 3.74546I 0
u = −0.321138 + 0.689372I
a = −1.112990 + 0.860013I
b = 0.63215 − 2.35643I
3.61200 − 0.98906I 0
u = −0.321138 − 0.689372I
a = −1.112990 − 0.860013I
b = 0.63215 + 2.35643I
3.61200 + 0.98906I 0
u = 0.817302 + 0.936461I
a = 0.997986 − 0.170928I
b = −1.23638 − 1.10075I
−5.16564 − 3.33643I 0
u = 0.817302 − 0.936461I
a = 0.997986 + 0.170928I
b = −1.23638 + 1.10075I
−5.16564 + 3.33643I 0
u = 0.774862 + 0.976674I
a = −0.572418 − 0.401775I
b = −0.254759 + 0.447007I
−3.53444 + 0.13727I 0
u = 0.774862 − 0.976674I
a = −0.572418 + 0.401775I
b = −0.254759 − 0.447007I
−3.53444 − 0.13727I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.482491 + 1.210100I
a = −1.081350 + 0.480892I
b = 1.39744 − 0.65312I
2.11433I 0
u = −0.482491 − 1.210100I
a = −1.081350 − 0.480892I
b = 1.39744 + 0.65312I
− 2.11433I 0
u = 0.030629 + 0.688541I
a = −1.88599 − 0.35954I
b = 1.40504 + 1.16711I
5.73423 + 6.43567I 0
u = 0.030629 − 0.688541I
a = −1.88599 + 0.35954I
b = 1.40504 − 1.16711I
5.73423 − 6.43567I 0
u = −0.687043 + 0.019550I
a = −0.609593 + 0.367432I
b = 0.950034 + 0.834454I
−6.17925 + 0.85610I 0
u = −0.687043 − 0.019550I
a = −0.609593 − 0.367432I
b = 0.950034 − 0.834454I
−6.17925 − 0.85610I 0
u = −0.016900 + 0.678322I
a = 1.82623 − 0.54054I
b = −0.613259 − 0.569059I
2.58879 + 0.27761I 0
u = −0.016900 − 0.678322I
a = 1.82623 + 0.54054I
b = −0.613259 + 0.569059I
2.58879 − 0.27761I 0
u = 0.883707 + 0.996664I
a = 0.338199 − 0.375532I
b = −0.665219 − 0.365075I
−1.42365 − 4.02526I 0
u = 0.883707 − 0.996664I
a = 0.338199 + 0.375532I
b = −0.665219 + 0.365075I
−1.42365 + 4.02526I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.587320 + 0.306225I
a = 0.49346 + 1.33102I
b = −0.672513 + 0.293211I
−1.99898 − 2.39251I 0
u = −0.587320 − 0.306225I
a = 0.49346 − 1.33102I
b = −0.672513 − 0.293211I
−1.99898 + 2.39251I 0
u = −0.135367 + 1.331160I
a = 0.841403 + 0.088404I
b = −1.72254 + 0.00278I
−3.75251 + 6.23561I 0
u = −0.135367 − 1.331160I
a = 0.841403 − 0.088404I
b = −1.72254 − 0.00278I
−3.75251 − 6.23561I 0
u = −0.010579 + 1.342550I
a = −0.647966 + 0.043199I
b = 1.277280 + 0.213511I
−3.53444 + 0.13727I 0
u = −0.010579 − 1.342550I
a = −0.647966 − 0.043199I
b = 1.277280 − 0.213511I
−3.53444 − 0.13727I 0
u = −0.570772 + 0.306414I
a = 1.054160 + 0.149364I
b = −1.59854 + 0.76472I
−5.73423 + 6.43567I 0. − 9.92162I
u = −0.570772 − 0.306414I
a = 1.054160 − 0.149364I
b = −1.59854 − 0.76472I
−5.73423 − 6.43567I 0. + 9.92162I
u = −0.626530
a = −3.33707
b = 0.243670
0.566214 391.170
u = 0.949687 + 0.997507I
a = −0.449168 + 0.221433I
b = 0.754467 + 0.768706I
−5.73423 − 6.43567I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.949687 − 0.997507I
a = −0.449168 − 0.221433I
b = 0.754467 − 0.768706I
−5.73423 + 6.43567I 0
u = 1.095000 + 0.860215I
a = 0.349739 − 0.033326I
b = −0.772759 − 0.327712I
−6.17925 − 0.85610I 0
u = 1.095000 − 0.860215I
a = 0.349739 + 0.033326I
b = −0.772759 + 0.327712I
−6.17925 + 0.85610I 0
u = −0.971937 + 0.999190I
a = −0.799969 + 0.723013I
b = 0.84194 − 1.59385I
3.75251 + 6.23561I 0
u = −0.971937 − 0.999190I
a = −0.799969 − 0.723013I
b = 0.84194 + 1.59385I
3.75251 − 6.23561I 0
u = −1.301730 + 0.508965I
a = 0.016811 + 0.930660I
b = −0.471652 − 0.387450I
− 4.95068I 0
u = −1.301730 − 0.508965I
a = 0.016811 − 0.930660I
b = −0.471652 + 0.387450I
4.95068I 0
u = −0.467858 + 0.373415I
a = −0.884335 − 0.694681I
b = 0.879118 − 0.854616I
−1.42365 + 4.02526I −6.24753 − 6.85777I
u = −0.467858 − 0.373415I
a = −0.884335 + 0.694681I
b = 0.879118 + 0.854616I
−1.42365 − 4.02526I −6.24753 + 6.85777I
u = 0.052139 + 0.592220I
a = 0.30445 − 2.26096I
b = 0.157736 − 0.820195I
−2.64550 + 5.63372I 6.39032 − 3.72635I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.052139 − 0.592220I
a = 0.30445 + 2.26096I
b = 0.157736 + 0.820195I
−2.64550 − 5.63372I 6.39032 + 3.72635I
u = −0.69773 + 1.24486I
a = −0.865543 + 0.332666I
b = 1.14992 − 1.25494I
5.73423 + 6.43567I 0
u = −0.69773 − 1.24486I
a = −0.865543 − 0.332666I
b = 1.14992 + 1.25494I
5.73423 − 6.43567I 0
u = −1.03649 + 1.01383I
a = 0.486178 + 0.445471I
b = −0.978660 − 0.184495I
−6.07769 − 7.63458I 0
u = −1.03649 − 1.01383I
a = 0.486178 − 0.445471I
b = −0.978660 + 0.184495I
−6.07769 + 7.63458I 0
u = 0.162937 + 0.505156I
a = 2.14912 + 1.12561I
b = −1.20093 − 2.40558I
0.55813 + 9.85968I 7.81351 − 6.01006I
u = 0.162937 − 0.505156I
a = 2.14912 − 1.12561I
b = −1.20093 + 2.40558I
0.55813 − 9.85968I 7.81351 + 6.01006I
u = −0.72512 + 1.29440I
a = 0.818186 − 0.289591I
b = −1.33361 + 1.30680I
0.55813 + 9.85968I 0
u = −0.72512 − 1.29440I
a = 0.818186 + 0.289591I
b = −1.33361 − 1.30680I
0.55813 − 9.85968I 0
u = −0.86960 + 1.20933I
a = −1.031670 + 0.262241I
b = 1.33011 − 1.29565I
2.07145 + 12.42820I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.86960 − 1.20933I
a = −1.031670 − 0.262241I
b = 1.33011 + 1.29565I
2.07145 − 12.42820I 0
u = 0.055903 + 0.465596I
a = 3.24649 + 0.51907I
b = −0.807047 + 0.810117I
− 2.11433I −60.10 − 0.912453I
u = 0.055903 − 0.465596I
a = 3.24649 − 0.51907I
b = −0.807047 − 0.810117I
2.11433I − 60.10 + 0.912453I
u = −0.91702 + 1.29157I
a = 0.987416 − 0.326466I
b = −1.10428 + 1.07225I
6.07769 + 7.63458I 0
u = −0.91702 − 1.29157I
a = 0.987416 + 0.326466I
b = −1.10428 − 1.07225I
6.07769 − 7.63458I 0
u = 0.99021 + 1.25955I
a = −0.796256 − 0.300278I
b = 1.05420 + 1.19346I
−2.07145 − 12.42820I 0
u = 0.99021 − 1.25955I
a = −0.796256 + 0.300278I
b = 1.05420 − 1.19346I
−2.07145 + 12.42820I 0
u = 0.99604 + 1.26259I
a = 0.617644 + 0.440251I
b = −0.76005 − 1.19992I
5.16564 − 3.33643I 0
u = 0.99604 − 1.26259I
a = 0.617644 − 0.440251I
b = −0.76005 + 1.19992I
5.16564 + 3.33643I 0
u = 0.345508
a = −7.25793
b = 0.140043
−0.566214 −391.170
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.87650 + 1.42024I
a = 0.692617 + 0.169426I
b = −0.885097 − 0.867310I
2.64550 − 5.63372I 0
u = 0.87650 − 1.42024I
a = 0.692617 − 0.169426I
b = −0.885097 + 0.867310I
2.64550 + 5.63372I 0
u = −0.94213 + 1.38732I
a = 0.621134 − 0.439367I
b = −0.767822 + 0.925023I
5.37530 + 2.73843I 0
u = −0.94213 − 1.38732I
a = 0.621134 + 0.439367I
b = −0.767822 − 0.925023I
5.37530 − 2.73843I 0
u = 1.56001 + 0.63865I
a = 0.067016 + 0.806062I
b = 0.350006 − 0.399480I
−2.07145 + 12.42820I 0
u = 1.56001 − 0.63865I
a = 0.067016 − 0.806062I
b = 0.350006 + 0.399480I
−2.07145 − 12.42820I 0
u = −0.94293 + 1.40476I
a = 0.772091 − 0.322654I
b = −1.16845 + 1.10490I
−0.55813 + 9.85968I 0
u = −0.94293 − 1.40476I
a = 0.772091 + 0.322654I
b = −1.16845 − 1.10490I
−0.55813 − 9.85968I 0
u = −0.031783 + 0.278330I
a = −4.14385 + 1.02580I
b = 1.54934 + 0.79917I
−3.10613 + 3.74546I −3.76547 − 6.44627I
u = −0.031783 − 0.278330I
a = −4.14385 − 1.02580I
b = 1.54934 − 0.79917I
−3.10613 − 3.74546I −3.76547 + 6.44627I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.76869 + 1.54074I
a = −0.756896 + 0.204429I
b = 1.165650 − 0.748679I
2.81456 + 7.38758I 0
u = −0.76869 − 1.54074I
a = −0.756896 − 0.204429I
b = 1.165650 + 0.748679I
2.81456 − 7.38758I 0
u = −1.73229 + 0.45124I
a = 0.115320 − 0.645559I
b = 0.160415 + 0.164563I
−3.61200 − 0.98906I 0
u = −1.73229 − 0.45124I
a = 0.115320 + 0.645559I
b = 0.160415 − 0.164563I
−3.61200 + 0.98906I 0
u = 1.84882 + 0.11307I
a = 0.234782 + 0.598021I
b = −0.187168 − 0.280610I
2.64550 − 5.63372I 0
u = 1.84882 − 0.11307I
a = 0.234782 − 0.598021I
b = −0.187168 + 0.280610I
2.64550 + 5.63372I 0
u = 0.83866 + 1.65869I
a = −0.570566 − 0.324263I
b = 0.782570 + 0.758289I
5.16564 + 3.33643I 0
u = 0.83866 − 1.65869I
a = −0.570566 + 0.324263I
b = 0.782570 − 0.758289I
5.16564 − 3.33643I 0
u = 1.93810
a = −1.29388
b = 0.970611
−0.566214 0
u = −2.45929
a = −0.850153
b = 0.709662
0.566214 0
25
III.
I
u
3
= h5.85×10
78
u
43
+2.24×10
79
u
42
+· · ·+7.37×10
78
b+3.18×10
79
, −7.36×
10
78
u
43
−2.11×10
79
u
42
+· · ·+2.46×10
78
a−1.10×10
79
, u
44
+3u
43
+· · ·+6u+1i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
1
=
1
−u
2
a
10
=
2.99936u
43
+ 8.58907u
42
+ ··· + 22.3938u + 4.48791
−0.794186u
43
− 3.04062u
42
+ ··· − 21.0623u − 4.31496
a
4
=
−5.90350u
43
− 14.4345u
42
+ ··· − 31.4236u − 11.4275
1.38210u
43
+ 3.56290u
42
+ ··· + 1.09967u − 1.02890
a
11
=
7.32548u
43
+ 20.6001u
42
+ ··· + 89.4969u + 37.5441
1.30764u
43
+ 4.21360u
42
+ ··· + 9.87639u + 1.33671
a
9
=
2.20518u
43
+ 5.54845u
42
+ ··· + 1.33150u + 0.172955
−0.794186u
43
− 3.04062u
42
+ ··· − 21.0623u − 4.31496
a
6
=
−3.81104u
43
− 9.80830u
42
+ ··· − 48.4217u − 16.1833
0.710357u
43
+ 1.06333u
42
+ ··· − 16.0978u − 3.72689
a
8
=
3.14056u
43
+ 8.75903u
42
+ ··· + 18.1965u + 3.42083
−0.399757u
43
− 1.95450u
42
+ ··· − 17.7004u − 3.91054
a
3
=
−8.12759u
43
− 22.0487u
42
+ ··· − 87.8028u − 26.2982
0.459037u
43
+ 0.658227u
42
+ ··· − 15.8909u − 3.68348
a
7
=
−24.1631u
43
− 65.1774u
42
+ ··· − 194.622u − 70.0154
0.428732u
43
+ 1.63735u
42
+ ··· + 11.9828u + 2.69676
a
12
=
6.68114u
43
+ 17.5165u
42
+ ··· + 79.8037u + 26.2937
−0.524277u
43
− 1.05496u
42
+ ··· + 7.20652u + 0.916220
(ii) Obstruction class = 1
(iii) Cusp Shapes = 98.2334u
43
+ 264.804u
42
+ ··· + 696.397u + 286.276
26
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
44
+ 3u
43
+ ··· + 6u + 1
c
2
, c
8
u
44
− 2u
43
+ ··· + 39u + 3
c
3
, c
9
u
44
+ 2u
43
+ ··· − 39u + 3
c
4
, c
6
, c
10
c
12
u
44
+ 9u
42
+ ··· + 2430u
2
+ 100
c
5
, c
11
u
44
− 3u
43
+ ··· − 6u + 1
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
44
− 9y
43
+ ··· − 2y + 1
c
2
, c
3
, c
8
c
9
y
44
+ 34y
43
+ ··· − 1227y + 9
c
4
, c
6
, c
10
c
12
(y
22
+ 9y
21
+ ··· + 2430y + 100)
2
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.393451 + 0.902638I
a = 1.406840 − 0.129394I
b = −0.380639 + 1.359300I
3.50228 + 2.42748I 4.14496 − 3.04999I
u = −0.393451 − 0.902638I
a = 1.406840 + 0.129394I
b = −0.380639 − 1.359300I
3.50228 − 2.42748I 4.14496 + 3.04999I
u = −0.313735 + 0.868388I
a = −1.165080 + 0.420926I
b = 0.46946 − 1.36539I
5.64580 7.02658 + 0.I
u = −0.313735 − 0.868388I
a = −1.165080 − 0.420926I
b = 0.46946 + 1.36539I
5.64580 7.02658 + 0.I
u = 1.038400 + 0.307755I
a = −0.094643 − 0.319334I
b = −0.410933 − 0.367102I
−5.64580 −7.02658 + 0.I
u = 1.038400 − 0.307755I
a = −0.094643 + 0.319334I
b = −0.410933 + 0.367102I
−5.64580 −7.02658 + 0.I
u = 0.709967 + 0.838459I
a = −0.323759 + 1.026840I
b = 0.859015 + 0.425193I
−3.27533 − 6.12171I −1.90528 + 8.20036I
u = 0.709967 − 0.838459I
a = −0.323759 − 1.026840I
b = 0.859015 − 0.425193I
−3.27533 + 6.12171I −1.90528 − 8.20036I
u = 0.112460 + 1.124000I
a = 1.199500 + 0.277237I
b = −0.722506 − 0.130081I
5.33876 + 5.37809I 5.67924 − 4.18993I
u = 0.112460 − 1.124000I
a = 1.199500 − 0.277237I
b = −0.722506 + 0.130081I
5.33876 − 5.37809I 5.67924 + 4.18993I
29
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.804550 + 0.813652I
a = −0.474070 − 0.012785I
b = 0.606948 + 1.204450I
−5.33876 − 5.37809I −5.67924 + 4.18993I
u = 0.804550 − 0.813652I
a = −0.474070 + 0.012785I
b = 0.606948 − 1.204450I
−5.33876 + 5.37809I −5.67924 − 4.18993I
u = −0.415836 + 0.672445I
a = −1.73762 + 1.07453I
b = 0.190458 − 0.667769I
4.71428 8.31783 + 0.I
u = −0.415836 − 0.672445I
a = −1.73762 − 1.07453I
b = 0.190458 + 0.667769I
4.71428 8.31783 + 0.I
u = 1.063860 + 0.631750I
a = 0.475900 + 0.747188I
b = −0.816792 − 0.993562I
−3.50228 + 2.42748I 0
u = 1.063860 − 0.631750I
a = 0.475900 − 0.747188I
b = −0.816792 + 0.993562I
−3.50228 − 2.42748I 0
u = 0.369839 + 1.209530I
a = 0.245450 + 0.075051I
b = −0.850007 + 0.083893I
−4.71428 0
u = 0.369839 − 1.209530I
a = 0.245450 − 0.075051I
b = −0.850007 − 0.083893I
−4.71428 0
u = −0.227663 + 0.662742I
a = 1.49153 − 0.51237I
b = −0.54365 + 2.31474I
2.33027 2.48394 + 0.I
u = −0.227663 − 0.662742I
a = 1.49153 + 0.51237I
b = −0.54365 − 2.31474I
2.33027 2.48394 + 0.I
30
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.862691 + 1.066870I
a = −0.862766 + 0.532008I
b = 0.95519 − 1.36087I
5.33876 + 5.37809I 0
u = −0.862691 − 1.066870I
a = −0.862766 − 0.532008I
b = 0.95519 + 1.36087I
5.33876 − 5.37809I 0
u = 0.596811 + 0.180059I
a = 1.02744 + 1.88568I
b = −0.19430 − 2.43874I
− 10.2792I 0. + 12.94810I
u = 0.596811 − 0.180059I
a = 1.02744 − 1.88568I
b = −0.19430 + 2.43874I
10.2792I 0. − 12.94810I
u = 0.602688
a = 3.61534
b = −0.242463
0.557272 −506.140
u = −1.41030 + 0.21787I
a = −0.138394 + 0.895852I
b = 0.366963 − 1.330470I
−2.33027 0
u = −1.41030 − 0.21787I
a = −0.138394 − 0.895852I
b = 0.366963 + 1.330470I
−2.33027 0
u = −0.111760 + 0.552692I
a = 0.557965 − 0.784105I
b = 1.356300 + 0.193543I
−5.33876 − 5.37809I −5.67924 + 4.18993I
u = −0.111760 − 0.552692I
a = 0.557965 + 0.784105I
b = 1.356300 − 0.193543I
−5.33876 + 5.37809I −5.67924 − 4.18993I
u = −0.207013 + 0.477464I
a = −2.66234 + 0.23962I
b = 0.73539 − 1.63229I
3.50228 + 2.42748I 4.14496 − 3.04999I
31
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.207013 − 0.477464I
a = −2.66234 − 0.23962I
b = 0.73539 + 1.63229I
3.50228 − 2.42748I 4.14496 + 3.04999I
u = 1.30820 + 0.71494I
a = −0.628702 − 0.614851I
b = 0.538712 + 0.838275I
3.27533 − 6.12171I 0
u = 1.30820 − 0.71494I
a = −0.628702 + 0.614851I
b = 0.538712 − 0.838275I
3.27533 + 6.12171I 0
u = −1.51392 + 0.44238I
a = 0.215667 − 0.660632I
b = 0.184294 + 0.181277I
−3.50228 − 2.42748I 0
u = −1.51392 − 0.44238I
a = 0.215667 + 0.660632I
b = 0.184294 − 0.181277I
−3.50228 + 2.42748I 0
u = −0.80630 + 1.38679I
a = 0.791934 − 0.263112I
b = −1.28665 + 1.13216I
10.2792I 0
u = −0.80630 − 1.38679I
a = 0.791934 + 0.263112I
b = −1.28665 − 1.13216I
− 10.2792I 0
u = −0.277460 + 0.227947I
a = −1.53833 − 2.91293I
b = −0.012769 − 0.938108I
−3.27533 + 6.12171I −1.90528 − 8.20036I
u = −0.277460 − 0.227947I
a = −1.53833 + 2.91293I
b = −0.012769 + 0.938108I
−3.27533 − 6.12171I −1.90528 + 8.20036I
u = −0.317478
a = 8.19037
b = −0.0922151
−0.557272 506.140
32
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.83746 + 1.47969I
a = −0.752709 + 0.167247I
b = 0.976207 − 0.773550I
3.27533 + 6.12171I 0
u = −0.83746 − 1.47969I
a = −0.752709 − 0.167247I
b = 0.976207 + 0.773550I
3.27533 − 6.12171I 0
u = 2.03279
a = 1.27916
b = −0.982677
−0.557272 0
u = −2.57099
a = 0.847503
b = −0.724018
0.557272 0
33
IV. I
u
4
= hb + u, a, u
2
− u + 1i
(i) Arc colorings
a
2
=
1
0
a
5
=
0
u
a
1
=
1
−u + 1
a
10
=
0
−u
a
4
=
0
u
a
11
=
0
−u
a
9
=
−u
−u
a
6
=
−1
u − 1
a
8
=
−1
0
a
3
=
u
u
a
7
=
−1
u − 1
a
12
=
1
−u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 8u − 4
34
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
7
c
9
u
2
− u + 1
c
2
, c
5
, c
8
c
11
u
2
+ u + 1
c
4
, c
6
, c
10
c
12
u
2
35
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
, c
7
, c
8
c
9
, c
11
y
2
+ y + 1
c
4
, c
6
, c
10
c
12
y
2
36
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = 0
b = −0.500000 − 0.866025I
− 4.05977I 0. + 6.92820I
u = 0.500000 − 0.866025I
a = 0
b = −0.500000 + 0.866025I
4.05977I 0. − 6.92820I
37
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
7
(u
2
− u + 1)(u
38
+ u
37
+ ··· + 9u − 1)(u
44
+ 3u
43
+ ··· + 6u + 1)
· (u
140
+ 12u
138
+ ··· − 54306u + 10401)
c
2
, c
8
(u
2
+ u + 1)(u
38
+ u
37
+ ··· + 3u + 1)(u
44
− 2u
43
+ ··· + 39u + 3)
· (u
140
+ u
139
+ ··· − 96505u + 4729)
c
3
, c
9
(u
2
− u + 1)(u
38
− u
37
+ ··· − 3u + 1)(u
44
+ 2u
43
+ ··· − 39u + 3)
· (u
140
− u
139
+ ··· + 96505u + 4729)
c
4
, c
10
u
2
(u
38
− 5u
37
+ ··· + 1968u − 260)(u
44
+ 9u
42
+ ··· + 2430u
2
+ 100)
· (u
70
+ 2u
69
+ ··· + 1179u − 211)
2
c
5
, c
11
(u
2
+ u + 1)(u
38
− u
37
+ ··· − 9u − 1)(u
44
− 3u
43
+ ··· − 6u + 1)
· (u
140
+ 12u
138
+ ··· + 54306u + 10401)
c
6
, c
12
u
2
(u
38
+ 5u
37
+ ··· − 1968u − 260)(u
44
+ 9u
42
+ ··· + 2430u
2
+ 100)
· (u
70
− 2u
69
+ ··· − 1179u − 211)
2
38
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
(y
2
+ y + 1)(y
38
− 3y
37
+ ··· − 7y + 1)(y
44
− 9y
43
+ ··· − 2y + 1)
· (y
140
+ 24y
139
+ ··· + 6449867628y + 108180801)
c
2
, c
3
, c
8
c
9
(y
2
+ y + 1)(y
38
+ 11y
37
+ ··· − 9y + 1)(y
44
+ 34y
43
+ ··· − 1227y + 9)
· (y
140
+ 33y
139
+ ··· − 890326919y + 22363441)
c
4
, c
6
, c
10
c
12
y
2
(y
22
+ 9y
21
+ ··· + 2430y + 100)
2
· (y
38
+ 23y
37
+ ··· − 657344y + 67600)
· (y
70
+ 50y
69
+ ··· − 865495y + 44521)
2
39
