12a
0646
(K12a
0646
)
A knot diagram
1
Linearized knot diagam
3 7 10 11 9 2 6 12 1 4 8 5
Solving Sequence
3,10
4 11
5,7
2 1 6 9 12 8
c
3
c
10
c
4
c
2
c
1
c
6
c
9
c
12
c
8
c
5
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−7.92758 × 10
283
u
107
+ 4.71823 × 10
283
u
106
+ ··· + 3.98501 × 10
285
b − 7.76087 × 10
285
,
1.13273 × 10
285
u
107
− 9.80011 × 10
284
u
106
+ ··· + 3.98501 × 10
285
a + 4.87210 × 10
286
,
u
108
− u
107
+ ··· + 26u − 11i
I
u
2
= h2u
22
− 25u
20
+ ··· + b + 1, u
22
− u
21
+ ··· + 3u
2
+ a, u
24
− 14u
22
+ ··· − 2u − 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
= h−7.93 × 10
283
u
107
+ 4.72 × 10
283
u
106
+ · · · + 3.99 × 10
285
b − 7.76 ×
10
285
, 1.13 × 10
285
u
107
− 9.80 × 10
284
u
106
+ · · · + 3.99 × 10
285
a + 4.87 ×
10
286
, u
108
− u
107
+ · · · + 26u − 11i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
11
=
u
−u
3
+ u
a
5
=
−u
2
+ 1
u
4
− 2u
2
a
7
=
−0.284248u
107
+ 0.245924u
106
+ ··· + 10.9026u − 12.2261
0.0198935u
107
− 0.0118399u
106
+ ··· + 2.17302u + 1.94751
a
2
=
0.360690u
107
− 0.270251u
106
+ ··· + 1.54015u + 9.66541
−0.0900518u
107
+ 0.0775866u
106
+ ··· − 0.158843u − 3.11708
a
1
=
0.270638u
107
− 0.192664u
106
+ ··· + 1.38131u + 6.54832
−0.0900518u
107
+ 0.0775866u
106
+ ··· − 0.158843u − 3.11708
a
6
=
0.148781u
107
− 0.120193u
106
+ ··· + 22.8571u − 8.84548
−0.103904u
107
+ 0.0906090u
106
+ ··· + 1.01686u + 0.660943
a
9
=
−0.145309u
107
+ 0.0890517u
106
+ ··· + 65.6658u − 1.78163
0.0984535u
107
− 0.0925638u
106
+ ··· − 10.1060u + 1.78977
a
12
=
0.320127u
107
− 0.229063u
106
+ ··· − 2.02885u + 7.86571
−0.0950938u
107
+ 0.0815686u
106
+ ··· − 0.615292u − 3.45990
a
8
=
0.260853u
107
− 0.268189u
106
+ ··· + 21.6743u + 5.87060
−0.0436157u
107
+ 0.0722231u
106
+ ··· − 6.07149u − 0.742645
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.846668u
107
− 0.481174u
106
+ ··· − 26.5586u + 18.7422
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
108
+ 33u
107
+ ··· + 2423u + 49
c
2
, c
6
u
108
− u
107
+ ··· + 57u + 7
c
3
, c
4
, c
10
u
108
+ u
107
+ ··· − 26u − 11
c
5
u
108
− 2u
107
+ ··· − 5u − 1
c
8
, c
11
u
108
− u
107
+ ··· − 20u − 1
c
9
u
108
− 7u
107
+ ··· − 23253384u + 9157221
c
12
u
108
− 4u
107
+ ··· − 46u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
108
+ 95y
107
+ ··· + 121085y + 2401
c
2
, c
6
y
108
− 33y
107
+ ··· − 2423y + 49
c
3
, c
4
, c
10
y
108
− 115y
107
+ ··· − 8530y + 121
c
5
y
108
− 2y
107
+ ··· − 361y + 1
c
8
, c
11
y
108
− 59y
107
+ ··· − 86y + 1
c
9
y
108
− 43y
107
+ ··· − 3544469265509532y + 83854696442841
c
12
y
108
− 6y
107
+ ··· − 2902y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.826406 + 0.702326I
a = 0.296844 − 0.632579I
b = 0.892571 − 0.164092I
−3.58745 + 2.67889I 0
u = −0.826406 − 0.702326I
a = 0.296844 + 0.632579I
b = 0.892571 + 0.164092I
−3.58745 − 2.67889I 0
u = 0.657589 + 0.874313I
a = −0.407294 − 0.511888I
b = 0.756612 + 0.854103I
2.61583 + 6.87570I 0
u = 0.657589 − 0.874313I
a = −0.407294 + 0.511888I
b = 0.756612 − 0.854103I
2.61583 − 6.87570I 0
u = −1.052110 + 0.317805I
a = 0.61143 + 1.83434I
b = −0.916488 − 0.526739I
−1.62328 − 1.93773I 0
u = −1.052110 − 0.317805I
a = 0.61143 − 1.83434I
b = −0.916488 + 0.526739I
−1.62328 + 1.93773I 0
u = −0.613248 + 0.934669I
a = 0.61329 − 1.40339I
b = 1.000230 + 0.772968I
1.86526 − 12.94090I 0
u = −0.613248 − 0.934669I
a = 0.61329 + 1.40339I
b = 1.000230 − 0.772968I
1.86526 + 12.94090I 0
u = −0.594600 + 0.640184I
a = −0.695431 + 0.121637I
b = 0.812998 − 0.817444I
5.54210 − 1.30136I 0
u = −0.594600 − 0.640184I
a = −0.695431 − 0.121637I
b = 0.812998 + 0.817444I
5.54210 + 1.30136I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.397084 + 0.760441I
a = −1.085940 + 0.411506I
b = −1.054780 − 0.256957I
−4.74558 − 7.66662I 0
u = −0.397084 − 0.760441I
a = −1.085940 − 0.411506I
b = −1.054780 + 0.256957I
−4.74558 + 7.66662I 0
u = 0.527829 + 0.671958I
a = 1.08421 + 1.68069I
b = 0.952806 − 0.776200I
5.11087 + 7.27382I 0
u = 0.527829 − 0.671958I
a = 1.08421 − 1.68069I
b = 0.952806 + 0.776200I
5.11087 − 7.27382I 0
u = 0.846524 + 0.076552I
a = 0.51787 + 2.49500I
b = −0.685420 − 0.532665I
−0.84832 − 2.31753I 0
u = 0.846524 − 0.076552I
a = 0.51787 − 2.49500I
b = −0.685420 + 0.532665I
−0.84832 + 2.31753I 0
u = −0.831839 + 0.112495I
a = 0.474827 − 0.621836I
b = −0.666888 + 0.754916I
2.78451 − 0.68489I 0
u = −0.831839 − 0.112495I
a = 0.474827 + 0.621836I
b = −0.666888 − 0.754916I
2.78451 + 0.68489I 0
u = 0.781126 + 0.296733I
a = −0.55365 − 1.55198I
b = −1.002650 + 0.708253I
1.80960 + 6.24926I 0
u = 0.781126 − 0.296733I
a = −0.55365 + 1.55198I
b = −1.002650 − 0.708253I
1.80960 − 6.24926I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.630697 + 1.014550I
a = −0.435701 − 1.265290I
b = −0.825483 + 0.794171I
2.33155 − 0.64087I 0
u = 0.630697 − 1.014550I
a = −0.435701 + 1.265290I
b = −0.825483 − 0.794171I
2.33155 + 0.64087I 0
u = 1.224430 + 0.069087I
a = 0.52278 − 1.98222I
b = 0.657076 + 0.114699I
0.71952 + 3.01349I 0
u = 1.224430 − 0.069087I
a = 0.52278 + 1.98222I
b = 0.657076 − 0.114699I
0.71952 − 3.01349I 0
u = −0.711564 + 1.014030I
a = 0.182322 − 0.606525I
b = −0.938398 + 0.765805I
1.98307 + 6.51440I 0
u = −0.711564 − 1.014030I
a = 0.182322 + 0.606525I
b = −0.938398 − 0.765805I
1.98307 − 6.51440I 0
u = 1.235030 + 0.133414I
a = −0.69564 − 1.29883I
b = −0.983985 + 0.639040I
2.19460 + 6.02559I 0
u = 1.235030 − 0.133414I
a = −0.69564 + 1.29883I
b = −0.983985 − 0.639040I
2.19460 − 6.02559I 0
u = −0.105444 + 0.745214I
a = −0.563730 + 0.774572I
b = −0.898197 − 0.813802I
4.54857 − 3.04727I 5.07707 + 0.I
u = −0.105444 − 0.745214I
a = −0.563730 − 0.774572I
b = −0.898197 + 0.813802I
4.54857 + 3.04727I 5.07707 + 0.I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.046183 + 0.748018I
a = 0.989218 + 0.045749I
b = 0.881508 + 0.689991I
−0.98378 − 2.65347I −6.43607 + 0.I
u = 0.046183 − 0.748018I
a = 0.989218 − 0.045749I
b = 0.881508 − 0.689991I
−0.98378 + 2.65347I −6.43607 + 0.I
u = 0.119076 + 0.738454I
a = 1.032320 − 0.186916I
b = 0.547731 + 0.286381I
−1.35114 − 1.34161I 0
u = 0.119076 − 0.738454I
a = 1.032320 + 0.186916I
b = 0.547731 − 0.286381I
−1.35114 + 1.34161I 0
u = 0.073044 + 0.736699I
a = −0.421442 + 0.575011I
b = −0.898721 − 0.816885I
4.55169 − 3.05529I 5.52278 + 0.I
u = 0.073044 − 0.736699I
a = −0.421442 − 0.575011I
b = −0.898721 + 0.816885I
4.55169 + 3.05529I 5.52278 + 0.I
u = −1.237320 + 0.258154I
a = 0.272431 − 0.264226I
b = −0.789595 + 0.650601I
2.87830 − 1.06653I 0
u = −1.237320 − 0.258154I
a = 0.272431 + 0.264226I
b = −0.789595 − 0.650601I
2.87830 + 1.06653I 0
u = 1.28281
a = 1.01927
b = 1.07037
−1.60800 0
u = 0.465264 + 0.506059I
a = −0.255885 + 0.324897I
b = 0.068656 − 0.702636I
−1.17285 + 4.53766I 0. − 7.32283I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.465264 − 0.506059I
a = −0.255885 − 0.324897I
b = 0.068656 + 0.702636I
−1.17285 − 4.53766I 0. + 7.32283I
u = 1.285280 + 0.326933I
a = −0.639648 − 1.081450I
b = −0.783408 + 0.461534I
2.45884 + 5.44175I 0
u = 1.285280 − 0.326933I
a = −0.639648 + 1.081450I
b = −0.783408 − 0.461534I
2.45884 − 5.44175I 0
u = 0.314638 + 0.543994I
a = 1.37427 − 0.60753I
b = 0.203043 − 0.088855I
−1.58159 − 1.29999I −2.07929 − 1.71584I
u = 0.314638 − 0.543994I
a = 1.37427 + 0.60753I
b = 0.203043 + 0.088855I
−1.58159 + 1.29999I −2.07929 + 1.71584I
u = −1.365420 + 0.199584I
a = −0.39632 − 1.69559I
b = 0.769810 + 0.118123I
0.29612 − 4.05424I 0
u = −1.365420 − 0.199584I
a = −0.39632 + 1.69559I
b = 0.769810 − 0.118123I
0.29612 + 4.05424I 0
u = −0.550416 + 0.273374I
a = 0.432751 − 0.300493I
b = −0.162263 + 0.469814I
1.052180 − 0.771496I 5.48476 + 2.39759I
u = −0.550416 − 0.273374I
a = 0.432751 + 0.300493I
b = −0.162263 − 0.469814I
1.052180 + 0.771496I 5.48476 − 2.39759I
u = −1.385720 + 0.121773I
a = 0.303115 − 0.651239I
b = −0.434682 + 0.672265I
3.47843 − 1.26206I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.385720 − 0.121773I
a = 0.303115 + 0.651239I
b = −0.434682 − 0.672265I
3.47843 + 1.26206I 0
u = 0.382772 + 0.423833I
a = −2.13005 − 1.35740I
b = −0.885146 + 0.255844I
−1.07975 + 3.41069I −3.96511 − 9.14792I
u = 0.382772 − 0.423833I
a = −2.13005 + 1.35740I
b = −0.885146 − 0.255844I
−1.07975 − 3.41069I −3.96511 + 9.14792I
u = 1.43602 + 0.10462I
a = 0.085778 + 0.604405I
b = −1.256380 − 0.308087I
0.99599 + 2.57219I 0
u = 1.43602 − 0.10462I
a = 0.085778 − 0.604405I
b = −1.256380 + 0.308087I
0.99599 − 2.57219I 0
u = 1.45322 + 0.01539I
a = 0.98833 + 2.48454I
b = −0.868157 − 0.784809I
5.52522 + 1.02709I 0
u = 1.45322 − 0.01539I
a = 0.98833 − 2.48454I
b = −0.868157 + 0.784809I
5.52522 − 1.02709I 0
u = 1.45335 + 0.06730I
a = −0.30445 + 1.97213I
b = 1.035910 − 0.856939I
9.78819 + 4.43020I 0
u = 1.45335 − 0.06730I
a = −0.30445 − 1.97213I
b = 1.035910 + 0.856939I
9.78819 − 4.43020I 0
u = −1.45651 + 0.13419I
a = 0.533446 − 1.173330I
b = 1.038150 + 0.290165I
4.88468 − 5.44613I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.45651 − 0.13419I
a = 0.533446 + 1.173330I
b = 1.038150 − 0.290165I
4.88468 + 5.44613I 0
u = −1.46789 + 0.07083I
a = −0.571847 + 0.494446I
b = −0.938749 − 0.218053I
4.52034 − 0.60338I 0
u = −1.46789 − 0.07083I
a = −0.571847 − 0.494446I
b = −0.938749 + 0.218053I
4.52034 + 0.60338I 0
u = −1.47676 + 0.05833I
a = 1.33694 + 2.14095I
b = −0.902528 − 0.775140I
5.41802 − 6.90153I 0
u = −1.47676 − 0.05833I
a = 1.33694 − 2.14095I
b = −0.902528 + 0.775140I
5.41802 + 6.90153I 0
u = 0.164013 + 0.491402I
a = −1.28835 − 2.46489I
b = −0.923300 + 0.015308I
−4.58460 + 1.50140I −13.14140 − 4.79884I
u = 0.164013 − 0.491402I
a = −1.28835 + 2.46489I
b = −0.923300 − 0.015308I
−4.58460 − 1.50140I −13.14140 + 4.79884I
u = −1.48840 + 0.02903I
a = −0.92804 + 1.33247I
b = 0.797159 − 0.973627I
10.54520 + 2.25757I 0
u = −1.48840 − 0.02903I
a = −0.92804 − 1.33247I
b = 0.797159 + 0.973627I
10.54520 − 2.25757I 0
u = 0.304493 + 0.404980I
a = 1.325960 + 0.344553I
b = 0.785743 + 0.221498I
−1.35161 − 0.69528I −5.45387 − 0.15532I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.304493 − 0.404980I
a = 1.325960 − 0.344553I
b = 0.785743 − 0.221498I
−1.35161 + 0.69528I −5.45387 + 0.15532I
u = 1.48002 + 0.24521I
a = 0.183977 + 0.995608I
b = 1.169580 − 0.331951I
1.34108 + 11.24650I 0
u = 1.48002 − 0.24521I
a = 0.183977 − 0.995608I
b = 1.169580 + 0.331951I
1.34108 − 11.24650I 0
u = −1.50553 + 0.15980I
a = −0.110284 + 1.147220I
b = 0.007596 − 0.930722I
5.33190 − 6.95781I 0
u = −1.50553 − 0.15980I
a = −0.110284 − 1.147220I
b = 0.007596 + 0.930722I
5.33190 + 6.95781I 0
u = −1.52743
a = 0.0708736
b = −1.26492
3.66997 0
u = 1.52982 + 0.06908I
a = −0.272438 − 0.936152I
b = 0.085539 + 0.715510I
8.02491 + 1.99550I 0
u = 1.52982 − 0.06908I
a = −0.272438 + 0.936152I
b = 0.085539 − 0.715510I
8.02491 − 1.99550I 0
u = 0.466195
a = 0.654780
b = 1.13790
−3.03687 7.76040
u = −0.164029 + 0.432887I
a = 0.97174 + 1.24648I
b = 1.087880 − 0.339070I
−4.32431 − 0.83615I −9.51604 + 6.44566I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.164029 − 0.432887I
a = 0.97174 − 1.24648I
b = 1.087880 + 0.339070I
−4.32431 + 0.83615I −9.51604 − 6.44566I
u = −1.52809 + 0.24217I
a = −0.19088 + 2.16925I
b = −1.008600 − 0.784419I
11.8381 − 10.6728I 0
u = −1.52809 − 0.24217I
a = −0.19088 − 2.16925I
b = −1.008600 + 0.784419I
11.8381 + 10.6728I 0
u = 1.55000 + 0.21775I
a = 1.14831 + 0.90928I
b = −0.762394 − 0.879186I
12.60730 + 4.49737I 0
u = 1.55000 − 0.21775I
a = 1.14831 − 0.90928I
b = −0.762394 + 0.879186I
12.60730 − 4.49737I 0
u = 0.172123 + 0.368431I
a = −0.509581 − 0.330862I
b = −0.888280 − 0.840803I
4.55730 − 3.10967I 6.48560 + 3.67856I
u = 0.172123 − 0.368431I
a = −0.509581 + 0.330862I
b = −0.888280 + 0.840803I
4.55730 + 3.10967I 6.48560 − 3.67856I
u = −1.59306 + 0.09824I
a = −0.27997 − 1.79172I
b = 1.076840 + 0.785198I
9.75240 − 7.79008I 0
u = −1.59306 − 0.09824I
a = −0.27997 + 1.79172I
b = 1.076840 − 0.785198I
9.75240 + 7.79008I 0
u = 1.54776 + 0.39267I
a = −0.06905 + 1.92558I
b = 0.947123 − 0.835034I
10.16660 + 8.06087I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54776 − 0.39267I
a = −0.06905 − 1.92558I
b = 0.947123 + 0.835034I
10.16660 − 8.06087I 0
u = −1.56300 + 0.35118I
a = −0.90080 + 1.13332I
b = 0.866890 − 0.869180I
10.42150 − 1.73936I 0
u = −1.56300 − 0.35118I
a = −0.90080 − 1.13332I
b = 0.866890 + 0.869180I
10.42150 + 1.73936I 0
u = 1.60229 + 0.05390I
a = −0.78327 − 1.29720I
b = 0.679451 + 0.935274I
10.97670 + 1.45422I 0
u = 1.60229 − 0.05390I
a = −0.78327 + 1.29720I
b = 0.679451 − 0.935274I
10.97670 − 1.45422I 0
u = −1.59289 + 0.28710I
a = 1.00581 − 1.05020I
b = −0.743357 + 0.936328I
9.9883 − 11.1495I 0
u = −1.59289 − 0.28710I
a = 1.00581 + 1.05020I
b = −0.743357 − 0.936328I
9.9883 + 11.1495I 0
u = 1.58840 + 0.31909I
a = −0.03751 − 2.01558I
b = −1.044430 + 0.801461I
9.0370 + 17.5438I 0
u = 1.58840 − 0.31909I
a = −0.03751 + 2.01558I
b = −1.044430 − 0.801461I
9.0370 − 17.5438I 0
u = −1.67137 + 0.26469I
a = −0.06087 − 1.88098I
b = 0.921022 + 0.775545I
10.24840 − 4.23432I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.67137 − 0.26469I
a = −0.06087 + 1.88098I
b = 0.921022 − 0.775545I
10.24840 + 4.23432I 0
u = 0.261760 + 0.146137I
a = −2.55071 + 4.93104I
b = 0.943786 − 0.683315I
−0.53218 + 6.11328I −6.24054 − 11.17087I
u = 0.261760 − 0.146137I
a = −2.55071 − 4.93104I
b = 0.943786 + 0.683315I
−0.53218 − 6.11328I −6.24054 + 11.17087I
u = 1.72103
a = 0.278929
b = −0.628756
6.22515 0
u = 1.71697 + 0.22486I
a = −0.85986 − 1.14022I
b = 0.850326 + 0.790480I
10.46550 − 1.65995I 0
u = 1.71697 − 0.22486I
a = −0.85986 + 1.14022I
b = 0.850326 − 0.790480I
10.46550 + 1.65995I 0
u = −0.142321 + 0.056407I
a = −6.71036 + 7.59732I
b = 0.768935 − 0.695831I
0.008069 − 0.791564I −4.72728 + 5.40012I
u = −0.142321 − 0.056407I
a = −6.71036 − 7.59732I
b = 0.768935 + 0.695831I
0.008069 + 0.791564I −4.72728 − 5.40012I
15
II.
I
u
2
= h2u
22
−25u
20
+· · ·+b+1, u
22
−u
21
+· · ·+3u
2
+a, u
24
−14u
22
+· · ·−2u−1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
11
=
u
−u
3
+ u
a
5
=
−u
2
+ 1
u
4
− 2u
2
a
7
=
−u
22
+ u
21
+ ··· + 3u
3
− 3u
2
−2u
22
+ 25u
20
+ ··· − 4u − 1
a
2
=
u
17
− 10u
15
+ ··· − 3u + 1
u
23
− 13u
21
+ ··· + 2u − 1
a
1
=
u
23
− 13u
21
+ ··· + 2u
2
− u
u
23
− 13u
21
+ ··· + 2u − 1
a
6
=
−u
22
+ 12u
20
+ ··· + 2u
3
+ 1
u
23
− 2u
22
+ ··· − 3u − 2
a
9
=
−u
23
+ 12u
21
+ ··· + 2u
4
− 3u
3
−3u
23
+ u
22
+ ··· + u + 1
a
12
=
u
23
− 12u
21
+ ··· − 2u + 1
u
23
− 13u
21
+ ··· + 3u − 1
a
8
=
u
23
− 13u
21
+ ··· + 4u − 1
−u
19
+ 11u
17
+ ··· − u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes =
6u
22
+u
21
−78u
20
−4u
19
+427u
18
−27u
17
−1263u
16
+225u
15
+2139u
14
−639u
13
−1978u
12
+
886u
11
+ 746u
10
−595u
9
+ 183u
8
+ 139u
7
−265u
6
+ 39u
5
+ 107u
4
−41u
3
−13u
2
+ 8u −1
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
24
− 10u
23
+ ··· − 17u + 1
c
2
u
24
− 5u
22
+ ··· + u + 1
c
3
, c
4
u
24
− 14u
22
+ ··· − 2u − 1
c
5
u
24
− 3u
23
+ ··· − 3u − 1
c
6
u
24
− 5u
22
+ ··· − u + 1
c
7
u
24
+ 10u
23
+ ··· + 17u + 1
c
8
u
24
+ 4u
23
+ ··· + 4u + 1
c
9
u
24
+ 4u
22
+ ··· − 2u + 1
c
10
u
24
− 14u
22
+ ··· + 2u − 1
c
11
u
24
− 4u
23
+ ··· − 4u + 1
c
12
u
24
+ u
23
+ ··· − 4u
2
− 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
24
+ 18y
23
+ ··· − 21y + 1
c
2
, c
6
y
24
− 10y
23
+ ··· − 17y + 1
c
3
, c
4
, c
10
y
24
− 28y
23
+ ··· − 12y + 1
c
5
y
24
− 3y
23
+ ··· − 11y + 1
c
8
, c
11
y
24
− 16y
23
+ ··· − 24y + 1
c
9
y
24
+ 8y
23
+ ··· + 14y + 1
c
12
y
24
− 3y
23
+ ··· + 8y + 1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.230070 + 0.129407I
a = 0.782814 − 0.650052I
b = 0.944738 + 0.630597I
2.14251 − 6.88848I −2.01455 + 11.24004I
u = −1.230070 − 0.129407I
a = 0.782814 + 0.650052I
b = 0.944738 − 0.630597I
2.14251 + 6.88848I −2.01455 − 11.24004I
u = 1.228340 + 0.156795I
a = 0.381367 − 0.046025I
b = 0.773922 + 0.637521I
2.69064 + 1.92070I −1.54705 − 5.16423I
u = 1.228340 − 0.156795I
a = 0.381367 + 0.046025I
b = 0.773922 − 0.637521I
2.69064 − 1.92070I −1.54705 + 5.16423I
u = 0.615317 + 0.357755I
a = 0.03489 − 2.76323I
b = −0.771598 + 0.703319I
0.370062 − 0.053259I −0.21995 − 2.70890I
u = 0.615317 − 0.357755I
a = 0.03489 + 2.76323I
b = −0.771598 − 0.703319I
0.370062 + 0.053259I −0.21995 + 2.70890I
u = 0.048840 + 0.698393I
a = −0.372400 + 0.731953I
b = −0.902714 − 0.840212I
3.98726 − 3.12415I −9.24056 + 3.19343I
u = 0.048840 − 0.698393I
a = −0.372400 − 0.731953I
b = −0.902714 + 0.840212I
3.98726 + 3.12415I −9.24056 − 3.19343I
u = 1.295160 + 0.193439I
a = 0.15743 − 2.03887I
b = −0.670411 + 0.319916I
1.15817 + 4.30220I 0.78705 − 7.24708I
u = 1.295160 − 0.193439I
a = 0.15743 + 2.03887I
b = −0.670411 − 0.319916I
1.15817 − 4.30220I 0.78705 + 7.24708I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.309930 + 0.117543I
a = −0.024538 − 1.224720I
b = −1.012930 + 0.281465I
−0.14892 − 1.67218I −4.82479 − 0.17650I
u = −1.309930 − 0.117543I
a = −0.024538 + 1.224720I
b = −1.012930 − 0.281465I
−0.14892 + 1.67218I −4.82479 + 0.17650I
u = −0.615545 + 0.285268I
a = 1.53576 − 1.27096I
b = −0.950649 + 0.677392I
−0.19202 + 5.37231I −1.91802 − 2.72860I
u = −0.615545 − 0.285268I
a = 1.53576 + 1.27096I
b = −0.950649 − 0.677392I
−0.19202 − 5.37231I −1.91802 + 2.72860I
u = 0.430788 + 0.491614I
a = 2.27226 + 0.65280I
b = 0.613962 + 0.180773I
−2.03858 − 1.87641I −9.16189 + 5.53569I
u = 0.430788 − 0.491614I
a = 2.27226 − 0.65280I
b = 0.613962 − 0.180773I
−2.03858 + 1.87641I −9.16189 − 5.53569I
u = 1.54136
a = 0.0266421
b = −1.20546
3.34972 −13.3400
u = 1.56893 + 0.19019I
a = −0.28306 + 1.87864I
b = 0.999750 − 0.821117I
9.83715 + 6.48845I 1.87521 − 3.31423I
u = 1.56893 − 0.19019I
a = −0.28306 − 1.87864I
b = 0.999750 + 0.821117I
9.83715 − 6.48845I 1.87521 + 3.31423I
u = −0.350431 + 0.225016I
a = −0.625782 + 0.317080I
b = 1.011080 + 0.145034I
−3.61025 + 0.35873I −5.20321 − 1.54805I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.350431 − 0.225016I
a = −0.625782 − 0.317080I
b = 1.011080 − 0.145034I
−3.61025 − 0.35873I −5.20321 + 1.54805I
u = −1.61370 + 0.15698I
a = −0.83158 + 1.29923I
b = 0.797538 − 0.880352I
10.45490 − 0.17618I 2.47036 − 1.44047I
u = −1.61370 − 0.15698I
a = −0.83158 − 1.29923I
b = 0.797538 + 0.880352I
10.45490 + 0.17618I 2.47036 + 1.44047I
u = −1.67680
a = −0.0809701
b = −0.459922
6.56615 12.3340
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
− 10u
23
+ ··· − 17u + 1)(u
108
+ 33u
107
+ ··· + 2423u + 49)
c
2
(u
24
− 5u
22
+ ··· + u + 1)(u
108
− u
107
+ ··· + 57u + 7)
c
3
, c
4
(u
24
− 14u
22
+ ··· − 2u − 1)(u
108
+ u
107
+ ··· − 26u − 11)
c
5
(u
24
− 3u
23
+ ··· − 3u − 1)(u
108
− 2u
107
+ ··· − 5u − 1)
c
6
(u
24
− 5u
22
+ ··· − u + 1)(u
108
− u
107
+ ··· + 57u + 7)
c
7
(u
24
+ 10u
23
+ ··· + 17u + 1)(u
108
+ 33u
107
+ ··· + 2423u + 49)
c
8
(u
24
+ 4u
23
+ ··· + 4u + 1)(u
108
− u
107
+ ··· − 20u − 1)
c
9
(u
24
+ 4u
22
+ ··· − 2u + 1)
· (u
108
− 7u
107
+ ··· − 23253384u + 9157221)
c
10
(u
24
− 14u
22
+ ··· + 2u − 1)(u
108
+ u
107
+ ··· − 26u − 11)
c
11
(u
24
− 4u
23
+ ··· − 4u + 1)(u
108
− u
107
+ ··· − 20u − 1)
c
12
(u
24
+ u
23
+ ··· − 4u
2
− 1)(u
108
− 4u
107
+ ··· − 46u + 1)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
24
+ 18y
23
+ ··· − 21y + 1)(y
108
+ 95y
107
+ ··· + 121085y + 2401)
c
2
, c
6
(y
24
− 10y
23
+ ··· − 17y + 1)(y
108
− 33y
107
+ ··· − 2423y + 49)
c
3
, c
4
, c
10
(y
24
− 28y
23
+ ··· − 12y + 1)(y
108
− 115y
107
+ ··· − 8530y + 121)
c
5
(y
24
− 3y
23
+ ··· − 11y + 1)(y
108
− 2y
107
+ ··· − 361y + 1)
c
8
, c
11
(y
24
− 16y
23
+ ··· − 24y + 1)(y
108
− 59y
107
+ ··· − 86y + 1)
c
9
(y
24
+ 8y
23
+ ··· + 14y + 1)
· (y
108
− 43y
107
+ ··· − 3544469265509532y + 83854696442841)
c
12
(y
24
− 3y
23
+ ··· + 8y + 1)(y
108
− 6y
107
+ ··· − 2902y + 1)
23
