12a
0446
(K12a
0446
)
A knot diagram
1
Linearized knot diagam
3 6 10 9 2 1 5 11 12 8 4 7
Solving Sequence
5,9 4,11
12 8 7 1 6 10 3 2
c
4
c
11
c
8
c
7
c
12
c
6
c
10
c
3
c
1
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h9.81367 × 10
890
u
115
− 1.43266 × 10
891
u
114
+ ··· + 4.70124 × 10
891
b − 1.58539 × 10
893
,
1.01422 × 10
893
u
115
− 1.53993 × 10
893
u
114
+ ··· + 3.71398 × 10
893
a − 1.36518 × 10
895
,
u
116
− 2u
115
+ ··· + 115u + 79i
I
u
2
= hb + 2, a − 1, u + 1i
* 2 irreducible components of dim
C
= 0, with total 117 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
= h9.81 × 10
890
u
115
− 1.43 × 10
891
u
114
+ · · · + 4.70 × 10
891
b − 1.59 ×
10
893
, 1.01 × 10
893
u
115
− 1.54 × 10
893
u
114
+ · · · + 3.71 × 10
893
a − 1.37 ×
10
895
, u
116
− 2u
115
+ · · · + 115u + 79i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
11
=
−0.273081u
115
+ 0.414631u
114
+ ··· + 122.190u + 36.7579
−0.208746u
115
+ 0.304741u
114
+ ··· + 103.296u + 33.7227
a
12
=
−0.552619u
115
+ 0.826356u
114
+ ··· + 262.185u + 80.8716
−0.135003u
115
+ 0.194749u
114
+ ··· + 64.2667u + 22.0820
a
8
=
0.813970u
115
− 1.20617u
114
+ ··· − 380.866u − 124.597
0.218953u
115
− 0.325444u
114
+ ··· − 108.758u − 30.6043
a
7
=
1.03292u
115
− 1.53161u
114
+ ··· − 489.624u − 155.202
0.218953u
115
− 0.325444u
114
+ ··· − 108.758u − 30.6043
a
1
=
0.629874u
115
− 0.885124u
114
+ ··· − 213.206u − 79.4249
−0.745206u
115
+ 1.10942u
114
+ ··· + 382.947u + 115.904
a
6
=
−2.77476u
115
+ 4.16315u
114
+ ··· + 1499.26u + 434.932
0.559144u
115
− 0.858928u
114
+ ··· − 344.823u − 93.2392
a
10
=
1.64280u
115
− 2.44093u
114
+ ··· − 803.107u − 247.103
−0.0368661u
115
+ 0.0591602u
114
+ ··· + 28.2441u + 8.14818
a
3
=
0.686595u
115
− 0.996166u
114
+ ··· − 302.971u − 97.1620
−0.447903u
115
+ 0.662858u
114
+ ··· + 223.489u + 67.8492
a
2
=
2.40163u
115
− 3.68546u
114
+ ··· − 1480.26u − 410.550
−0.0391826u
115
+ 0.0512360u
114
+ ··· + 4.80775u + 4.71164
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.88684u
115
− 2.93040u
114
+ ··· − 1183.32u − 304.174
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
116
+ 62u
115
+ ··· − u + 1
c
2
, c
5
u
116
+ 2u
115
+ ··· + 5u + 1
c
3
u
116
− 51u
114
+ ··· − 208u − 56
c
4
u
116
+ 2u
115
+ ··· − 115u + 79
c
6
, c
12
u
116
+ 3u
115
+ ··· + 565u
2
− 32
c
7
u
116
− 12u
115
+ ··· − 1181u + 29
c
8
, c
10
u
116
− 2u
115
+ ··· − u − 1
c
9
u
116
+ 19u
115
+ ··· − 2u + 2
c
11
u
116
− 2u
115
+ ··· + u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
116
− 14y
115
+ ··· + 69y + 1
c
2
, c
5
y
116
− 62y
115
+ ··· + y + 1
c
3
y
116
− 102y
115
+ ··· + 113760y + 3136
c
4
y
116
− 122y
115
+ ··· − 263971y + 6241
c
6
, c
12
y
116
+ 87y
115
+ ··· − 36160y + 1024
c
7
y
116
+ 22y
115
+ ··· + 2701257y + 841
c
8
, c
10
y
116
− 74y
115
+ ··· − 107y + 1
c
9
y
116
− 9y
115
+ ··· − 88y + 4
c
11
y
116
+ 18y
115
+ ··· + y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.951325 + 0.313588I
a = −1.225350 − 0.298169I
b = 1.137870 + 0.252464I
−1.01973 − 1.06715I 0
u = 0.951325 − 0.313588I
a = −1.225350 + 0.298169I
b = 1.137870 − 0.252464I
−1.01973 + 1.06715I 0
u = −0.596448 + 0.824284I
a = 0.743724 − 0.759157I
b = 0.218175 − 0.249595I
3.93410 + 2.59183I 0
u = −0.596448 − 0.824284I
a = 0.743724 + 0.759157I
b = 0.218175 + 0.249595I
3.93410 − 2.59183I 0
u = −0.952880 + 0.239211I
a = 1.349090 − 0.420028I
b = −1.265490 + 0.213892I
−1.45435 + 5.15444I 0
u = −0.952880 − 0.239211I
a = 1.349090 + 0.420028I
b = −1.265490 − 0.213892I
−1.45435 − 5.15444I 0
u = 0.084892 + 1.020460I
a = 0.219707 − 0.594375I
b = −0.130857 + 0.587100I
2.67777 − 2.30723I 0
u = 0.084892 − 1.020460I
a = 0.219707 + 0.594375I
b = −0.130857 − 0.587100I
2.67777 + 2.30723I 0
u = 0.957748 + 0.114531I
a = −1.48224 − 0.63128I
b = 1.48514 + 0.08966I
−7.51968 − 10.06630I 0
u = 0.957748 − 0.114531I
a = −1.48224 + 0.63128I
b = 1.48514 − 0.08966I
−7.51968 + 10.06630I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.380130 + 0.969615I
a = 0.570001 − 0.668737I
b = −0.642625 + 0.438196I
0.56321 − 3.80754I 0
u = 0.380130 − 0.969615I
a = 0.570001 + 0.668737I
b = −0.642625 − 0.438196I
0.56321 + 3.80754I 0
u = 0.064129 + 1.043420I
a = −0.150013 − 0.358017I
b = −0.005139 + 0.568167I
2.59093 − 2.28064I 0
u = 0.064129 − 1.043420I
a = −0.150013 + 0.358017I
b = −0.005139 − 0.568167I
2.59093 + 2.28064I 0
u = 0.881712 + 0.572493I
a = −0.979523 + 0.283828I
b = 0.978600 + 0.277804I
−1.90994 − 0.93281I 0
u = 0.881712 − 0.572493I
a = −0.979523 − 0.283828I
b = 0.978600 − 0.277804I
−1.90994 + 0.93281I 0
u = 0.711364 + 0.627206I
a = −0.672678 − 0.684854I
b = 0.152953 + 0.002754I
−1.06556 − 3.75617I 0
u = 0.711364 − 0.627206I
a = −0.672678 + 0.684854I
b = 0.152953 − 0.002754I
−1.06556 + 3.75617I 0
u = −0.936756 + 0.131580I
a = 1.50411 − 0.58305I
b = −1.42992 + 0.07583I
−4.43225 + 5.33303I 0
u = −0.936756 − 0.131580I
a = 1.50411 + 0.58305I
b = −1.42992 − 0.07583I
−4.43225 − 5.33303I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.964220 + 0.438444I
a = −0.793334 − 0.454170I
b = 0.701814 + 0.332184I
−2.45699 − 1.34404I 0
u = 0.964220 − 0.438444I
a = −0.793334 + 0.454170I
b = 0.701814 − 0.332184I
−2.45699 + 1.34404I 0
u = 0.646590 + 0.851847I
a = −0.752328 − 0.742271I
b = −0.294950 − 0.151308I
3.53389 − 7.04008I 0
u = 0.646590 − 0.851847I
a = −0.752328 + 0.742271I
b = −0.294950 + 0.151308I
3.53389 + 7.04008I 0
u = 0.909971 + 0.102992I
a = −1.57919 − 0.61335I
b = 1.44161 − 0.00386I
−8.34099 − 1.39112I 0
u = 0.909971 − 0.102992I
a = −1.57919 + 0.61335I
b = 1.44161 + 0.00386I
−8.34099 + 1.39112I 0
u = −0.969402 + 0.494770I
a = 0.794653 − 0.526373I
b = −0.578732 + 0.423782I
−5.94980 + 5.43731I 0
u = −0.969402 − 0.494770I
a = 0.794653 + 0.526373I
b = −0.578732 − 0.423782I
−5.94980 − 5.43731I 0
u = −0.468281 + 0.990716I
a = 0.232120 − 0.155624I
b = −0.044643 + 0.762341I
−4.00401 − 0.60060I 0
u = −0.468281 − 0.990716I
a = 0.232120 + 0.155624I
b = −0.044643 − 0.762341I
−4.00401 + 0.60060I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.010200 + 0.443183I
a = 0.862881 − 0.480901I
b = −0.762564 + 0.458627I
−5.62707 − 3.04654I 0
u = −1.010200 − 0.443183I
a = 0.862881 + 0.480901I
b = −0.762564 − 0.458627I
−5.62707 + 3.04654I 0
u = 0.346639 + 1.056800I
a = −0.227147 − 0.202967I
b = −0.027442 + 0.697767I
−0.06123 − 3.10256I 0
u = 0.346639 − 1.056800I
a = −0.227147 + 0.202967I
b = −0.027442 − 0.697767I
−0.06123 + 3.10256I 0
u = −0.495663 + 0.730134I
a = 0.708823 − 0.811665I
b = −0.008967 − 0.405619I
2.39643 + 1.55166I 0
u = −0.495663 − 0.730134I
a = 0.708823 + 0.811665I
b = −0.008967 + 0.405619I
2.39643 − 1.55166I 0
u = 0.739644 + 0.865988I
a = −0.760142 − 0.718167I
b = −0.349873 + 0.057411I
0.44560 − 7.70285I 0
u = 0.739644 − 0.865988I
a = −0.760142 + 0.718167I
b = −0.349873 − 0.057411I
0.44560 + 7.70285I 0
u = −0.768688 + 0.842410I
a = 0.757586 − 0.709448I
b = 0.298085 + 0.128897I
−3.60377 + 3.86288I 0
u = −0.768688 − 0.842410I
a = 0.757586 + 0.709448I
b = 0.298085 − 0.128897I
−3.60377 − 3.86288I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.408925 + 0.752776I
a = −0.739911 − 0.853696I
b = 0.019426 − 0.574858I
−0.14534 + 2.85221I 0
u = 0.408925 − 0.752776I
a = −0.739911 + 0.853696I
b = 0.019426 + 0.574858I
−0.14534 − 2.85221I 0
u = −0.481940 + 1.043550I
a = −0.626250 − 0.573662I
b = 0.720874 + 0.197474I
−1.90960 + 8.56015I 0
u = −0.481940 − 1.043550I
a = −0.626250 + 0.573662I
b = 0.720874 − 0.197474I
−1.90960 − 8.56015I 0
u = −0.752662 + 0.886476I
a = 0.765501 − 0.716826I
b = 0.400952 + 0.084836I
−2.56650 + 12.52600I 0
u = −0.752662 − 0.886476I
a = 0.765501 + 0.716826I
b = 0.400952 − 0.084836I
−2.56650 − 12.52600I 0
u = −0.409179 + 0.700700I
a = −0.795198 − 0.929070I
b = 1.029620 + 0.902177I
−3.81251 + 0.96684I 0
u = −0.409179 − 0.700700I
a = −0.795198 + 0.929070I
b = 1.029620 − 0.902177I
−3.81251 − 0.96684I 0
u = 1.026410 + 0.602938I
a = 1.054580 − 0.358615I
b = −2.22047 + 0.23273I
−11.34380 − 0.03428I 0
u = 1.026410 − 0.602938I
a = 1.054580 + 0.358615I
b = −2.22047 − 0.23273I
−11.34380 + 0.03428I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.385613 + 1.128150I
a = 0.256170 − 0.201485I
b = 0.072518 + 0.735096I
−2.98922 + 7.86043I 0
u = −0.385613 − 1.128150I
a = 0.256170 + 0.201485I
b = 0.072518 − 0.735096I
−2.98922 − 7.86043I 0
u = −1.032620 + 0.660866I
a = −1.018910 − 0.361684I
b = 2.16318 + 0.12160I
−7.73953 + 4.64372I 0
u = −1.032620 − 0.660866I
a = −1.018910 + 0.361684I
b = 2.16318 − 0.12160I
−7.73953 − 4.64372I 0
u = −0.710479 + 0.194269I
a = 1.94994 − 0.14929I
b = −1.075650 − 0.138829I
−4.93169 + 1.71660I 0
u = −0.710479 − 0.194269I
a = 1.94994 + 0.14929I
b = −1.075650 + 0.138829I
−4.93169 − 1.71660I 0
u = 1.089870 + 0.664564I
a = 1.011240 − 0.329764I
b = −2.26352 + 0.04611I
−11.4429 − 9.1627I 0
u = 1.089870 − 0.664564I
a = 1.011240 + 0.329764I
b = −2.26352 − 0.04611I
−11.4429 + 9.1627I 0
u = 0.631956 + 0.275564I
a = −0.182383 + 0.087700I
b = 0.495068 + 0.435356I
−1.47021 − 0.27681I 0
u = 0.631956 − 0.275564I
a = −0.182383 − 0.087700I
b = 0.495068 − 0.435356I
−1.47021 + 0.27681I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.268648 + 0.573440I
a = −0.680616 − 1.049200I
b = 0.412706 − 0.654226I
−0.57611 − 4.58827I 0. + 4.86927I
u = 0.268648 − 0.573440I
a = −0.680616 + 1.049200I
b = 0.412706 + 0.654226I
−0.57611 + 4.58827I 0. − 4.86927I
u = −0.96196 + 1.05654I
a = −0.812469 − 0.370562I
b = 1.49889 − 0.49595I
−2.79197 + 2.22125I 0
u = −0.96196 − 1.05654I
a = −0.812469 + 0.370562I
b = 1.49889 + 0.49595I
−2.79197 − 2.22125I 0
u = 0.492095 + 0.287973I
a = 1.89019 − 0.51259I
b = −1.86100 − 1.33877I
−5.51335 − 10.68540I −6.39835 + 11.37042I
u = 0.492095 − 0.287973I
a = 1.89019 + 0.51259I
b = −1.86100 + 1.33877I
−5.51335 + 10.68540I −6.39835 − 11.37042I
u = −0.459078 + 0.262441I
a = −1.98453 − 0.53766I
b = 1.85971 − 1.26356I
−2.39606 + 5.72681I −3.01180 − 8.91982I
u = −0.459078 − 0.262441I
a = −1.98453 + 0.53766I
b = 1.85971 + 1.26356I
−2.39606 − 5.72681I −3.01180 + 8.91982I
u = 0.485878 + 0.205373I
a = 2.04179 − 0.38653I
b = −1.96830 − 1.24632I
−6.62753 − 1.68977I −8.65839 + 6.90519I
u = 0.485878 − 0.205373I
a = 2.04179 + 0.38653I
b = −1.96830 + 1.24632I
−6.62753 + 1.68977I −8.65839 − 6.90519I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.05302 + 1.05561I
a = 0.826801 − 0.335108I
b = −1.66441 − 0.63046I
−0.71405 − 6.75491I 0
u = 1.05302 − 1.05561I
a = 0.826801 + 0.335108I
b = −1.66441 + 0.63046I
−0.71405 + 6.75491I 0
u = −1.14489 + 0.95885I
a = −0.872772 − 0.308091I
b = 1.97935 − 0.58428I
−5.09347 + 8.75536I 0
u = −1.14489 − 0.95885I
a = −0.872772 + 0.308091I
b = 1.97935 + 0.58428I
−5.09347 − 8.75536I 0
u = 0.486308 + 0.002623I
a = −3.23996 − 0.71175I
b = 0.892231 − 0.617655I
−9.00507 − 2.50241I −14.0048 + 2.9683I
u = 0.486308 − 0.002623I
a = −3.23996 + 0.71175I
b = 0.892231 + 0.617655I
−9.00507 + 2.50241I −14.0048 − 2.9683I
u = −0.420605 + 0.027804I
a = 3.75214 − 0.46463I
b = −0.760725 − 0.615309I
−5.24191 − 1.51598I −9.76716 + 0.89866I
u = −0.420605 − 0.027804I
a = 3.75214 + 0.46463I
b = −0.760725 + 0.615309I
−5.24191 + 1.51598I −9.76716 − 0.89866I
u = 0.403042 + 0.024873I
a = −3.92955 + 0.97229I
b = 0.759637 + 0.720012I
−8.38542 − 6.14161I −12.65761 + 4.07144I
u = 0.403042 − 0.024873I
a = −3.92955 − 0.97229I
b = 0.759637 − 0.720012I
−8.38542 + 6.14161I −12.65761 − 4.07144I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.264303 + 0.300206I
a = −2.05489 − 1.16409I
b = 1.53531 − 0.99321I
1.42033 + 5.07802I 1.84512 − 10.30585I
u = −0.264303 − 0.300206I
a = −2.05489 + 1.16409I
b = 1.53531 + 0.99321I
1.42033 − 5.07802I 1.84512 + 10.30585I
u = 1.16084 + 1.10269I
a = 0.821739 − 0.291754I
b = −1.79414 − 0.88363I
0.48514 − 8.35993I 0
u = 1.16084 − 1.10269I
a = 0.821739 + 0.291754I
b = −1.79414 + 0.88363I
0.48514 + 8.35993I 0
u = −0.217289 + 0.330927I
a = 0.27959 − 1.41738I
b = −0.732166 − 0.464709I
1.60905 + 0.62537I 5.18961 − 0.15952I
u = −0.217289 − 0.330927I
a = 0.27959 + 1.41738I
b = −0.732166 + 0.464709I
1.60905 − 0.62537I 5.18961 + 0.15952I
u = −1.61104 + 0.26665I
a = 0.395281 − 0.027240I
b = −1.44627 + 0.82641I
−5.39929 + 2.07907I 0
u = −1.61104 − 0.26665I
a = 0.395281 + 0.027240I
b = −1.44627 − 0.82641I
−5.39929 − 2.07907I 0
u = −1.21155 + 1.10824I
a = −0.824065 − 0.274848I
b = 1.88330 − 0.97374I
−0.11124 + 13.00390I 0
u = −1.21155 − 1.10824I
a = −0.824065 + 0.274848I
b = 1.88330 + 0.97374I
−0.11124 − 13.00390I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.30043 + 1.04503I
a = 0.848545 − 0.249873I
b = −2.15879 − 0.98590I
−7.84175 − 9.92352I 0
u = 1.30043 − 1.04503I
a = 0.848545 + 0.249873I
b = −2.15879 + 0.98590I
−7.84175 + 9.92352I 0
u = −1.29488 + 1.07685I
a = −0.838474 − 0.250535I
b = 2.09822 − 1.04198I
−3.6335 + 13.8522I 0
u = −1.29488 − 1.07685I
a = −0.838474 + 0.250535I
b = 2.09822 + 1.04198I
−3.6335 − 13.8522I 0
u = 0.131631 + 0.279844I
a = 1.92308 − 1.83687I
b = −1.33414 − 0.74898I
2.24491 − 0.54156I 5.37800 + 2.71375I
u = 0.131631 − 0.279844I
a = 1.92308 + 1.83687I
b = −1.33414 + 0.74898I
2.24491 + 0.54156I 5.37800 − 2.71375I
u = −0.179401 + 0.235532I
a = 3.27080 + 3.68921I
b = −0.283500 − 0.362333I
−2.61216 − 1.82601I −7.43468 + 4.49023I
u = −0.179401 − 0.235532I
a = 3.27080 − 3.68921I
b = −0.283500 + 0.362333I
−2.61216 + 1.82601I −7.43468 − 4.49023I
u = 1.31481 + 1.08468I
a = 0.836832 − 0.244204I
b = −2.12654 − 1.08915I
−6.6857 − 18.7864I 0
u = 1.31481 − 1.08468I
a = 0.836832 + 0.244204I
b = −2.12654 + 1.08915I
−6.6857 + 18.7864I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.240038
a = −3.75464
b = 2.25736
−2.86634 13.7270
u = 1.82523 + 0.08587I
a = −0.405638 − 0.049339I
b = 1.78830 + 0.67390I
−1.82580 + 1.77123I 0
u = 1.82523 − 0.08587I
a = −0.405638 + 0.049339I
b = 1.78830 − 0.67390I
−1.82580 − 1.77123I 0
u = −1.89748 + 0.26038I
a = 0.393199 − 0.047430I
b = −1.82576 + 0.93565I
−4.82691 − 6.28136I 0
u = −1.89748 − 0.26038I
a = 0.393199 + 0.047430I
b = −1.82576 − 0.93565I
−4.82691 + 6.28136I 0
u = 2.41030 + 0.14560I
a = −0.373393 + 0.074405I
b = 2.65352 − 0.44777I
0.23305 − 1.55271I 0
u = 2.41030 − 0.14560I
a = −0.373393 − 0.074405I
b = 2.65352 + 0.44777I
0.23305 + 1.55271I 0
u = −2.69014 + 0.13527I
a = 0.357401 + 0.065285I
b = −3.07803 − 0.43805I
0.07962 − 2.57850I 0
u = −2.69014 − 0.13527I
a = 0.357401 − 0.065285I
b = −3.07803 + 0.43805I
0.07962 + 2.57850I 0
u = −3.02300 + 0.05391I
a = 0.345666 + 0.043402I
b = −3.64918 − 0.43475I
−2.53474 − 2.83534I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −3.02300 − 0.05391I
a = 0.345666 − 0.043402I
b = −3.64918 + 0.43475I
−2.53474 + 2.83534I 0
u = 3.03155 + 0.01362I
a = −0.350231 − 0.040154I
b = 3.71230 + 0.54862I
−5.56752 − 7.50076I 0
u = 3.03155 − 0.01362I
a = −0.350231 + 0.040154I
b = 3.71230 − 0.54862I
−5.56752 + 7.50076I 0
u = 3.11959 + 0.05104I
a = −0.341491 + 0.035514I
b = 3.81267 − 0.35773I
−6.34329 − 1.02736I 0
u = 3.11959 − 0.05104I
a = −0.341491 − 0.035514I
b = 3.81267 + 0.35773I
−6.34329 + 1.02736I 0
u = −3.62493
a = 0.284520
b = −4.09386
−3.01604 0
16
II. I
u
2
= hb + 2, a − 1, u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
−1
a
4
=
1
−1
a
11
=
1
−2
a
12
=
0
−1
a
8
=
−1
1
a
7
=
0
1
a
1
=
0
−1
a
6
=
0
1
a
10
=
0
−1
a
3
=
1
0
a
2
=
1
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
8
c
11
u − 1
c
3
, c
4
, c
5
c
7
, c
10
u + 1
c
6
, c
9
, c
12
u
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
7
c
8
, c
10
, c
11
y −1
c
6
, c
9
, c
12
y
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 1.00000
b = −2.00000
−3.28987 −12.0000
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u − 1)(u
116
+ 62u
115
+ ··· − u + 1)
c
2
(u − 1)(u
116
+ 2u
115
+ ··· + 5u + 1)
c
3
(u + 1)(u
116
− 51u
114
+ ··· − 208u − 56)
c
4
(u + 1)(u
116
+ 2u
115
+ ··· − 115u + 79)
c
5
(u + 1)(u
116
+ 2u
115
+ ··· + 5u + 1)
c
6
, c
12
u(u
116
+ 3u
115
+ ··· + 565u
2
− 32)
c
7
(u + 1)(u
116
− 12u
115
+ ··· − 1181u + 29)
c
8
(u − 1)(u
116
− 2u
115
+ ··· − u − 1)
c
9
u(u
116
+ 19u
115
+ ··· − 2u + 2)
c
10
(u + 1)(u
116
− 2u
115
+ ··· − u − 1)
c
11
(u − 1)(u
116
− 2u
115
+ ··· + u − 1)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)(y
116
− 14y
115
+ ··· + 69y + 1)
c
2
, c
5
(y −1)(y
116
− 62y
115
+ ··· + y + 1)
c
3
(y −1)(y
116
− 102y
115
+ ··· + 113760y + 3136)
c
4
(y −1)(y
116
− 122y
115
+ ··· − 263971y + 6241)
c
6
, c
12
y(y
116
+ 87y
115
+ ··· − 36160y + 1024)
c
7
(y −1)(y
116
+ 22y
115
+ ··· + 2701257y + 841)
c
8
, c
10
(y −1)(y
116
− 74y
115
+ ··· − 107y + 1)
c
9
y(y
116
− 9y
115
+ ··· − 88y + 4)
c
11
(y −1)(y
116
+ 18y
115
+ ··· + y + 1)
22
