12a
0214
(K12a
0214
)
A knot diagram
1
Linearized knot diagam
3 6 7 9 8 2 1 11 12 5 4 10
Solving Sequence
1,10
12
4,9
5 11 8 7 3 2 6
c
12
c
9
c
4
c
11
c
8
c
7
c
3
c
1
c
6
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.93994 × 10
450
u
129
+ 4.30877 × 10
450
u
128
+ ··· + 4.13780 × 10
449
b + 1.94502 × 10
450
,
6.48985 × 10
449
u
129
+ 1.44403 × 10
450
u
128
+ ··· + 2.06890 × 10
449
a + 4.51017 × 10
449
, u
130
+ 3u
129
+ ··· + 6u + 1i
I
u
2
= hb
2
− b + 1, a − 1, u − 1i
* 2 irreducible components of dim
C
= 0, with total 132 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
= h1.94 × 10
450
u
129
+ 4.31 × 10
450
u
128
+ · · · + 4.14 × 10
449
b + 1.95 ×
10
450
, 6.49 × 10
449
u
129
+ 1.44 × 10
450
u
128
+ · · · + 2.07 × 10
449
a + 4.51 ×
10
449
, u
130
+ 3u
129
+ · · · + 6u + 1i
(i) Arc colorings
a
1
=
1
0
a
10
=
0
u
a
12
=
1
u
2
a
4
=
−3.13686u
129
− 6.97970u
128
+ ··· − 0.718419u − 2.17998
−4.68833u
129
− 10.4132u
128
+ ··· − 25.8623u − 4.70060
a
9
=
−u
−u
3
+ u
a
5
=
0.688229u
129
+ 1.91659u
128
+ ··· + 23.5319u + 2.80523
−6.83080u
129
− 15.1988u
128
+ ··· − 38.4640u − 7.10686
a
11
=
−0.178952u
129
− 0.322850u
128
+ ··· − 15.4701u − 2.97465
−0.203119u
129
− 0.342260u
128
+ ··· + 3.55349u − 0.286047
a
8
=
−0.127207u
129
− 0.274547u
128
+ ··· − 3.51528u − 1.21382
0.126131u
129
+ 0.262206u
128
+ ··· + 3.00004u + 0.106749
a
7
=
−0.00107554u
129
− 0.0123410u
128
+ ··· − 0.515235u − 1.10707
0.126131u
129
+ 0.262206u
128
+ ··· + 3.00004u + 0.106749
a
3
=
−1.80077u
129
− 3.86071u
128
+ ··· + 2.72723u − 1.64091
−1.70303u
129
− 3.14021u
128
+ ··· − 10.6563u − 1.80268
a
2
=
−0.417240u
129
− 1.50730u
128
+ ··· − 28.9400u − 3.28010
0.0678887u
129
− 0.183675u
128
+ ··· + 3.18011u − 0.444522
a
6
=
−3.06909u
129
− 6.85322u
128
+ ··· − 4.64774u − 3.01184
−2.12072u
129
− 4.95178u
128
+ ··· − 12.9002u − 2.74315
(ii) Obstruction class = −1
(iii) Cusp Shapes = 8.59696u
129
+ 20.3475u
128
+ ··· + 46.5185u + 8.91533
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
130
+ 62u
129
+ ··· + 5u + 1
c
2
, c
6
u
130
− 2u
129
+ ··· − 5u + 1
c
3
u
130
+ 2u
129
+ ··· + 41643u + 4113
c
4
u
130
+ 4u
129
+ ··· + u + 1
c
5
u
130
+ 14u
129
+ ··· − 2746727u + 111833
c
7
u
130
− 5u
129
+ ··· − 58912u + 6976
c
8
u
130
− 21u
129
+ ··· − 12u + 4
c
9
, c
12
u
130
+ 3u
129
+ ··· + 6u + 1
c
10
u
130
− 2u
129
+ ··· − 19u + 1
c
11
u
130
− 4u
129
+ ··· − 1271u + 131
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
130
+ 14y
129
+ ··· + 97y + 1
c
2
, c
6
y
130
+ 62y
129
+ ··· + 5y + 1
c
3
y
130
− 34y
129
+ ··· − 460845135y + 16916769
c
4
y
130
+ 22y
129
+ ··· + 5y + 1
c
5
y
130
+ 50y
129
+ ··· − 7595894910367y + 12506619889
c
7
y
130
+ 17y
129
+ ··· + 4190851968y + 48664576
c
8
y
130
− 15y
129
+ ··· − 360y + 16
c
9
, c
12
y
130
− 81y
129
+ ··· + 30y + 1
c
10
y
130
− 118y
129
+ ··· + 121y + 1
c
11
y
130
− 130y
129
+ ··· − 1175543y + 17161
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.749532 + 0.664227I
a = −0.871953 + 0.384851I
b = 0.502067 − 0.431748I
1.95298 + 0.77909I 0
u = 0.749532 − 0.664227I
a = −0.871953 − 0.384851I
b = 0.502067 + 0.431748I
1.95298 − 0.77909I 0
u = 0.961298 + 0.290000I
a = −1.080940 + 0.022623I
b = 0.0561571 + 0.0027518I
1.86525 + 0.92233I 0
u = 0.961298 − 0.290000I
a = −1.080940 − 0.022623I
b = 0.0561571 − 0.0027518I
1.86525 − 0.92233I 0
u = 0.997565 + 0.149599I
a = −3.28445 − 0.12377I
b = −0.374638 − 1.113690I
−2.60529 + 0.52783I 0
u = 0.997565 − 0.149599I
a = −3.28445 + 0.12377I
b = −0.374638 + 1.113690I
−2.60529 − 0.52783I 0
u = −0.968506 + 0.163873I
a = −2.16914 + 0.57550I
b = −1.45050 + 1.08479I
1.75057 + 1.14387I 0
u = −0.968506 − 0.163873I
a = −2.16914 − 0.57550I
b = −1.45050 − 1.08479I
1.75057 − 1.14387I 0
u = −0.995720 + 0.222833I
a = 2.03831 − 0.62029I
b = 1.25938 − 1.29158I
2.64549 − 3.86577I 0
u = −0.995720 − 0.222833I
a = 2.03831 + 0.62029I
b = 1.25938 + 1.29158I
2.64549 + 3.86577I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.253514 + 0.997845I
a = −0.351240 + 0.216973I
b = −0.076787 − 0.822116I
−3.08998 + 1.62477I 0
u = −0.253514 − 0.997845I
a = −0.351240 − 0.216973I
b = −0.076787 + 0.822116I
−3.08998 − 1.62477I 0
u = −0.977192 + 0.341390I
a = −1.85611 + 0.59447I
b = −0.79872 + 1.39391I
−3.64756 − 3.52766I 0
u = −0.977192 − 0.341390I
a = −1.85611 − 0.59447I
b = −0.79872 − 1.39391I
−3.64756 + 3.52766I 0
u = 1.034360 + 0.075510I
a = 3.53031 − 0.10655I
b = 0.669756 + 0.640893I
2.83600 + 1.66368I 0
u = 1.034360 − 0.075510I
a = 3.53031 + 0.10655I
b = 0.669756 − 0.640893I
2.83600 − 1.66368I 0
u = 1.030110 + 0.130980I
a = 3.41041 + 0.07777I
b = 0.609353 + 1.033790I
1.61147 + 3.27657I 0
u = 1.030110 − 0.130980I
a = 3.41041 − 0.07777I
b = 0.609353 − 1.033790I
1.61147 − 3.27657I 0
u = 0.328696 + 0.898113I
a = 0.420332 − 0.284612I
b = −1.007830 − 0.093419I
0.60196 + 6.82261I 0
u = 0.328696 − 0.898113I
a = 0.420332 + 0.284612I
b = −1.007830 + 0.093419I
0.60196 − 6.82261I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.038030 + 0.147285I
a = −3.42187 − 0.13699I
b = −0.642604 − 1.156970I
−0.71281 + 8.13527I 0
u = 1.038030 − 0.147285I
a = −3.42187 + 0.13699I
b = −0.642604 + 1.156970I
−0.71281 − 8.13527I 0
u = −0.000698 + 1.049920I
a = 0.0343799 + 0.0694135I
b = −0.762613 − 0.819135I
−0.76360 + 1.63337I 0
u = −0.000698 − 1.049920I
a = 0.0343799 − 0.0694135I
b = −0.762613 + 0.819135I
−0.76360 − 1.63337I 0
u = 1.052110 + 0.040289I
a = −3.70281 + 0.10225I
b = −0.802349 − 0.356302I
1.64097 − 2.69111I 0
u = 1.052110 − 0.040289I
a = −3.70281 − 0.10225I
b = −0.802349 + 0.356302I
1.64097 + 2.69111I 0
u = −0.308603 + 1.013000I
a = 0.406602 − 0.292542I
b = −0.087122 + 0.849118I
−5.67692 − 2.95307I 0
u = −0.308603 − 1.013000I
a = 0.406602 + 0.292542I
b = −0.087122 − 0.849118I
−5.67692 + 2.95307I 0
u = −1.028110 + 0.311386I
a = 1.90194 − 0.65942I
b = 0.97779 − 1.54127I
1.09535 − 6.30085I 0
u = −1.028110 − 0.311386I
a = 1.90194 + 0.65942I
b = 0.97779 + 1.54127I
1.09535 + 6.30085I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.044560 + 0.333444I
a = −1.87493 + 0.68078I
b = −0.91797 + 1.63411I
−1.24102 − 11.41750I 0
u = −1.044560 − 0.333444I
a = −1.87493 − 0.68078I
b = −0.91797 − 1.63411I
−1.24102 + 11.41750I 0
u = 0.883723 + 0.167045I
a = 2.90602 + 0.27453I
b = −0.223286 + 1.021670I
−2.88331 + 0.66419I 0
u = 0.883723 − 0.167045I
a = 2.90602 − 0.27453I
b = −0.223286 − 1.021670I
−2.88331 − 0.66419I 0
u = −0.247591 + 1.073740I
a = 0.269586 − 0.308543I
b = 0.089589 + 1.050060I
−6.93321 + 4.86901I 0
u = −0.247591 − 1.073740I
a = 0.269586 + 0.308543I
b = 0.089589 − 1.050060I
−6.93321 − 4.86901I 0
u = 0.390854 + 0.791811I
a = −0.504519 + 0.425158I
b = 0.866825 − 0.042954I
2.26305 + 2.23337I 0
u = 0.390854 − 0.791811I
a = −0.504519 − 0.425158I
b = 0.866825 + 0.042954I
2.26305 − 2.23337I 0
u = −0.044947 + 1.123350I
a = −0.030537 − 0.197904I
b = 0.740708 + 1.064570I
0.01779 + 6.20260I 0
u = −0.044947 − 1.123350I
a = −0.030537 + 0.197904I
b = 0.740708 − 1.064570I
0.01779 − 6.20260I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.748193 + 0.441462I
a = 1.61678 − 0.31198I
b = 0.288025 − 0.755850I
−5.43884 − 3.19405I 0
u = −0.748193 − 0.441462I
a = 1.61678 + 0.31198I
b = 0.288025 + 0.755850I
−5.43884 + 3.19405I 0
u = −0.773867 + 0.390257I
a = 0.277986 + 0.438230I
b = 0.056039 + 1.165640I
−4.26513 − 8.43825I 0
u = −0.773867 − 0.390257I
a = 0.277986 − 0.438230I
b = 0.056039 − 1.165640I
−4.26513 + 8.43825I 0
u = −0.852307 + 0.061470I
a = −0.210768 − 1.318300I
b = −0.18942 − 1.68517I
1.10773 − 2.44446I 0
u = −0.852307 − 0.061470I
a = −0.210768 + 1.318300I
b = −0.18942 + 1.68517I
1.10773 + 2.44446I 0
u = 0.818290 + 0.804472I
a = 0.850507 − 0.315048I
b = −0.587697 + 0.724409I
−0.23288 − 3.80920I 0
u = 0.818290 − 0.804472I
a = 0.850507 + 0.315048I
b = −0.587697 − 0.724409I
−0.23288 + 3.80920I 0
u = 0.812762 + 0.193755I
a = 2.77598 + 0.45380I
b = −0.531184 + 0.968139I
−1.23884 − 6.87227I 0
u = 0.812762 − 0.193755I
a = 2.77598 − 0.45380I
b = −0.531184 − 0.968139I
−1.23884 + 6.87227I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.770981 + 0.321204I
a = −0.267104 − 0.610922I
b = −0.144345 − 1.229580I
−1.57828 − 3.67286I 0
u = −0.770981 − 0.321204I
a = −0.267104 + 0.610922I
b = −0.144345 + 1.229580I
−1.57828 + 3.67286I 0
u = 0.809501 + 0.148398I
a = −2.68553 − 0.36658I
b = 0.447773 − 0.823256I
1.08788 − 2.14422I 0
u = 0.809501 − 0.148398I
a = −2.68553 + 0.36658I
b = 0.447773 + 0.823256I
1.08788 + 2.14422I 0
u = −0.612842 + 0.542603I
a = 1.374370 − 0.173773I
b = 0.053565 − 0.427204I
−4.66525 + 4.55914I 0
u = −0.612842 − 0.542603I
a = 1.374370 + 0.173773I
b = 0.053565 + 0.427204I
−4.66525 − 4.55914I 0
u = −0.140788 + 1.173940I
a = −0.047975 + 0.337395I
b = −0.49629 − 1.33236I
−6.04376 + 5.27226I 0
u = −0.140788 − 1.173940I
a = −0.047975 − 0.337395I
b = −0.49629 + 1.33236I
−6.04376 − 5.27226I 0
u = −0.096709 + 1.190760I
a = −0.019172 − 0.321659I
b = 0.66614 + 1.34067I
−1.57307 + 8.12778I 0
u = −0.096709 − 1.190760I
a = −0.019172 + 0.321659I
b = 0.66614 − 1.34067I
−1.57307 − 8.12778I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.104792 + 1.213600I
a = 0.027843 + 0.355509I
b = −0.66769 − 1.43041I
−3.95604 + 13.11070I 0
u = −0.104792 − 1.213600I
a = 0.027843 − 0.355509I
b = −0.66769 + 1.43041I
−3.95604 − 13.11070I 0
u = −1.192160 + 0.355697I
a = −1.336410 − 0.412673I
b = −1.176380 − 0.213759I
1.92535 − 4.92635I 0
u = −1.192160 − 0.355697I
a = −1.336410 + 0.412673I
b = −1.176380 + 0.213759I
1.92535 + 4.92635I 0
u = 0.998683 + 0.752187I
a = 0.883674 − 0.312327I
b = −0.150347 + 0.864242I
−1.66663 + 3.50263I 0
u = 0.998683 − 0.752187I
a = 0.883674 + 0.312327I
b = −0.150347 − 0.864242I
−1.66663 − 3.50263I 0
u = −1.233710 + 0.251608I
a = −1.50115 − 0.59324I
b = −1.65071 − 0.54779I
5.17809 + 1.63501I 0
u = −1.233710 − 0.251608I
a = −1.50115 + 0.59324I
b = −1.65071 + 0.54779I
5.17809 − 1.63501I 0
u = −0.658777 + 0.332610I
a = −0.005057 + 0.582017I
b = 0.072587 + 1.322340I
−5.71245 − 0.34252I 0
u = −0.658777 − 0.332610I
a = −0.005057 − 0.582017I
b = 0.072587 − 1.322340I
−5.71245 + 0.34252I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.246970 + 0.284356I
a = 1.49821 + 0.51957I
b = 1.62719 + 0.36475I
6.94986 − 3.42908I 0
u = −1.246970 − 0.284356I
a = 1.49821 − 0.51957I
b = 1.62719 − 0.36475I
6.94986 + 3.42908I 0
u = −0.592491 + 0.396989I
a = −1.59933 + 0.04358I
b = −0.339061 + 0.402395I
−1.95725 + 0.30823I 0
u = −0.592491 − 0.396989I
a = −1.59933 − 0.04358I
b = −0.339061 − 0.402395I
−1.95725 − 0.30823I 0
u = −1.283670 + 0.345260I
a = 1.52690 + 0.37920I
b = 1.62326 − 0.03362I
7.11434 − 5.98173I 0
u = −1.283670 − 0.345260I
a = 1.52690 − 0.37920I
b = 1.62326 + 0.03362I
7.11434 + 5.98173I 0
u = −1.202700 + 0.573365I
a = 1.279780 − 0.054560I
b = 0.306679 − 0.673989I
−2.83859 − 2.68603I 0
u = −1.202700 − 0.573365I
a = 1.279780 + 0.054560I
b = 0.306679 + 0.673989I
−2.83859 + 2.68603I 0
u = −1.231540 + 0.558015I
a = −1.343070 + 0.028036I
b = −0.494661 + 0.767799I
0.00465 − 7.17572I 0
u = −1.231540 − 0.558015I
a = −1.343070 − 0.028036I
b = −0.494661 − 0.767799I
0.00465 + 7.17572I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.303180 + 0.370409I
a = −1.55027 − 0.32151I
b = −1.63696 + 0.22480I
5.49205 − 11.00070I 0
u = −1.303180 − 0.370409I
a = −1.55027 + 0.32151I
b = −1.63696 − 0.22480I
5.49205 + 11.00070I 0
u = −0.071932 + 0.631967I
a = −0.443623 − 0.591446I
b = −0.428077 − 0.178934I
−1.45737 + 1.34564I −5.16191 − 2.88028I
u = −0.071932 − 0.631967I
a = −0.443623 + 0.591446I
b = −0.428077 + 0.178934I
−1.45737 − 1.34564I −5.16191 + 2.88028I
u = 0.632889 + 0.056471I
a = −1.96479 + 0.65777I
b = 0.533131 + 0.222533I
2.00334 + 0.95224I 6.67676 − 3.59964I
u = 0.632889 − 0.056471I
a = −1.96479 − 0.65777I
b = 0.533131 − 0.222533I
2.00334 − 0.95224I 6.67676 + 3.59964I
u = −1.247660 + 0.591008I
a = 1.370320 − 0.099055I
b = 0.379186 − 0.985063I
−3.77053 − 10.74180I 0
u = −1.247660 − 0.591008I
a = 1.370320 + 0.099055I
b = 0.379186 + 0.985063I
−3.77053 + 10.74180I 0
u = −1.32444 + 0.53206I
a = −1.53535 − 0.00421I
b = −1.04502 + 1.13850I
3.30414 − 7.21217I 0
u = −1.32444 − 0.53206I
a = −1.53535 + 0.00421I
b = −1.04502 − 1.13850I
3.30414 + 7.21217I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.33615 + 0.55621I
a = 1.55324 − 0.04506I
b = 0.97391 − 1.32361I
4.05223 − 12.07700I 0
u = −1.33615 − 0.55621I
a = 1.55324 + 0.04506I
b = 0.97391 + 1.32361I
4.05223 + 12.07700I 0
u = 1.22734 + 0.77535I
a = −0.872026 + 0.366858I
b = −0.509193 − 1.125840I
−0.93303 + 3.18385I 0
u = 1.22734 − 0.77535I
a = −0.872026 − 0.366858I
b = −0.509193 + 1.125840I
−0.93303 − 3.18385I 0
u = −1.32436 + 0.59926I
a = −1.52322 + 0.12732I
b = −0.66644 + 1.46827I
−2.30658 − 11.45910I 0
u = −1.32436 − 0.59926I
a = −1.52322 − 0.12732I
b = −0.66644 − 1.46827I
−2.30658 + 11.45910I 0
u = −1.34445 + 0.59153I
a = 1.56362 − 0.11503I
b = 0.81208 − 1.55092I
2.3600 − 14.3318I 0
u = −1.34445 − 0.59153I
a = 1.56362 + 0.11503I
b = 0.81208 + 1.55092I
2.3600 + 14.3318I 0
u = −1.34956 + 0.60118I
a = −1.57223 + 0.13448I
b = −0.77949 + 1.63095I
−0.0250 − 19.4151I 0
u = −1.34956 − 0.60118I
a = −1.57223 − 0.13448I
b = −0.77949 − 1.63095I
−0.0250 + 19.4151I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.32250 + 0.67438I
a = 0.805550 − 0.393794I
b = 0.860338 + 0.772288I
4.67423 + 3.97595I 0
u = 1.32250 − 0.67438I
a = 0.805550 + 0.393794I
b = 0.860338 − 0.772288I
4.67423 − 3.97595I 0
u = 1.35867 + 0.60985I
a = −0.756330 + 0.396468I
b = −0.950442 − 0.524798I
3.58638 − 0.58250I 0
u = 1.35867 − 0.60985I
a = −0.756330 − 0.396468I
b = −0.950442 + 0.524798I
3.58638 + 0.58250I 0
u = 1.29343 + 0.76579I
a = 0.859495 − 0.396090I
b = 0.758224 + 1.115340I
3.42677 + 5.85292I 0
u = 1.29343 − 0.76579I
a = 0.859495 + 0.396090I
b = 0.758224 − 1.115340I
3.42677 − 5.85292I 0
u = 1.29726 + 0.79632I
a = −0.874562 + 0.401465I
b = −0.76452 − 1.23664I
1.13327 + 10.78210I 0
u = 1.29726 − 0.79632I
a = −0.874562 − 0.401465I
b = −0.76452 + 1.23664I
1.13327 − 10.78210I 0
u = 1.49683 + 0.33974I
a = 0.465832 − 0.405345I
b = 0.910390 − 0.488554I
5.29933 − 0.31811I 0
u = 1.49683 − 0.33974I
a = 0.465832 + 0.405345I
b = 0.910390 + 0.488554I
5.29933 + 0.31811I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.47937 + 0.41071I
a = −0.547428 + 0.416119I
b = −1.029580 + 0.271272I
3.96857 + 4.25353I 0
u = 1.47937 − 0.41071I
a = −0.547428 − 0.416119I
b = −1.029580 − 0.271272I
3.96857 − 4.25353I 0
u = 1.53731 + 0.13941I
a = −0.200164 + 0.389009I
b = −0.426811 + 0.930576I
0.242224 + 0.401680I 0
u = 1.53731 − 0.13941I
a = −0.200164 − 0.389009I
b = −0.426811 − 0.930576I
0.242224 − 0.401680I 0
u = −0.316222 + 0.319706I
a = 1.012340 − 0.774832I
b = −0.303654 − 1.348990I
−5.31921 + 0.42903I −7.55664 + 1.65296I
u = −0.316222 − 0.319706I
a = 1.012340 + 0.774832I
b = −0.303654 + 1.348990I
−5.31921 − 0.42903I −7.55664 − 1.65296I
u = 0.430188 + 0.055652I
a = 2.34176 + 1.17375I
b = −0.791735 + 0.058136I
0.41480 + 3.36963I 1.73095 − 2.15555I
u = 0.430188 − 0.055652I
a = 2.34176 − 1.17375I
b = −0.791735 − 0.058136I
0.41480 − 3.36963I 1.73095 + 2.15555I
u = −0.216354 + 0.373867I
a = 1.43865 − 0.53124I
b = −0.49438 − 1.35783I
−3.42694 + 8.32113I −4.26369 − 4.51840I
u = −0.216354 − 0.373867I
a = 1.43865 + 0.53124I
b = −0.49438 + 1.35783I
−3.42694 − 8.32113I −4.26369 + 4.51840I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.56272 + 0.24204I
a = 0.327838 − 0.448911I
b = 0.774719 − 0.868021I
4.38648 − 2.09982I 0
u = 1.56272 − 0.24204I
a = 0.327838 + 0.448911I
b = 0.774719 + 0.868021I
4.38648 + 2.09982I 0
u = −0.211422 + 0.322262I
a = −1.49471 + 0.77211I
b = 0.453218 + 1.268460I
−0.98554 + 3.40975I −1.15050 − 1.11653I
u = −0.211422 − 0.322262I
a = −1.49471 − 0.77211I
b = 0.453218 − 1.268460I
−0.98554 − 3.40975I −1.15050 + 1.11653I
u = 1.60158 + 0.22519I
a = −0.297088 + 0.492533I
b = −0.787102 + 1.022290I
2.17268 − 6.94534I 0
u = 1.60158 − 0.22519I
a = −0.297088 − 0.492533I
b = −0.787102 − 1.022290I
2.17268 + 6.94534I 0
u = −0.074715 + 0.177976I
a = −2.85635 + 1.66941I
b = 0.442193 + 0.865512I
0.66682 + 1.85845I 0.98885 − 2.90243I
u = −0.074715 − 0.177976I
a = −2.85635 − 1.66941I
b = 0.442193 − 0.865512I
0.66682 − 1.85845I 0.98885 + 2.90243I
u = 0.086759 + 0.132561I
a = 4.38365 + 0.49941I
b = −0.624653 − 0.496832I
−0.24223 − 2.30428I −0.10219 + 3.82754I
u = 0.086759 − 0.132561I
a = 4.38365 − 0.49941I
b = −0.624653 + 0.496832I
−0.24223 + 2.30428I −0.10219 − 3.82754I
17
II. I
u
2
= hb
2
− b + 1, a − 1, u − 1i
(i) Arc colorings
a
1
=
1
0
a
10
=
0
1
a
12
=
1
1
a
4
=
1
b
a
9
=
−1
0
a
5
=
−b + 1
b
a
11
=
b
0
a
8
=
−1
0
a
7
=
−1
0
a
3
=
b + 1
b
a
2
=
2b
b − 1
a
6
=
1
b
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4b + 1
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
c
5
, c
6
u
2
− u + 1
c
2
, c
10
, c
11
u
2
+ u + 1
c
7
, c
8
u
2
c
9
(u + 1)
2
c
12
(u − 1)
2
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
10
, c
11
y
2
+ y + 1
c
7
, c
8
y
2
c
9
, c
12
(y −1)
2
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = 1.00000
b = 0.500000 + 0.866025I
1.64493 − 2.02988I 3.00000 + 3.46410I
u = 1.00000
a = 1.00000
b = 0.500000 − 0.866025I
1.64493 + 2.02988I 3.00000 − 3.46410I
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)(u
130
+ 62u
129
+ ··· + 5u + 1)
c
2
(u
2
+ u + 1)(u
130
− 2u
129
+ ··· − 5u + 1)
c
3
(u
2
− u + 1)(u
130
+ 2u
129
+ ··· + 41643u + 4113)
c
4
(u
2
− u + 1)(u
130
+ 4u
129
+ ··· + u + 1)
c
5
(u
2
− u + 1)(u
130
+ 14u
129
+ ··· − 2746727u + 111833)
c
6
(u
2
− u + 1)(u
130
− 2u
129
+ ··· − 5u + 1)
c
7
u
2
(u
130
− 5u
129
+ ··· − 58912u + 6976)
c
8
u
2
(u
130
− 21u
129
+ ··· − 12u + 4)
c
9
((u + 1)
2
)(u
130
+ 3u
129
+ ··· + 6u + 1)
c
10
(u
2
+ u + 1)(u
130
− 2u
129
+ ··· − 19u + 1)
c
11
(u
2
+ u + 1)(u
130
− 4u
129
+ ··· − 1271u + 131)
c
12
((u − 1)
2
)(u
130
+ 3u
129
+ ··· + 6u + 1)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ y + 1)(y
130
+ 14y
129
+ ··· + 97y + 1)
c
2
, c
6
(y
2
+ y + 1)(y
130
+ 62y
129
+ ··· + 5y + 1)
c
3
(y
2
+ y + 1)(y
130
− 34y
129
+ ··· − 4.60845 × 10
8
y + 1.69168 × 10
7
)
c
4
(y
2
+ y + 1)(y
130
+ 22y
129
+ ··· + 5y + 1)
c
5
(y
2
+ y + 1)(y
130
+ 50y
129
+ ··· − 7.59589 × 10
12
y + 1.25066 × 10
10
)
c
7
y
2
(y
130
+ 17y
129
+ ··· + 4.19085 × 10
9
y + 4.86646 × 10
7
)
c
8
y
2
(y
130
− 15y
129
+ ··· − 360y + 16)
c
9
, c
12
((y −1)
2
)(y
130
− 81y
129
+ ··· + 30y + 1)
c
10
(y
2
+ y + 1)(y
130
− 118y
129
+ ··· + 121y + 1)
c
11
(y
2
+ y + 1)(y
130
− 130y
129
+ ··· − 1175543y + 17161)
23
