12a
1103
(K12a
1103
)
A knot diagram
1
Linearized knot diagam
4 7 11 10 9 12 3 1 5 2 8 6
Solving Sequence
6,9
5 10
1,4
2 8 12 7 11 3
c
5
c
9
c
4
c
1
c
8
c
12
c
6
c
11
c
3
c
2
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h6.61422 × 10
347
u
121
− 2.31862 × 10
348
u
120
+ ··· + 2.33758 × 10
350
b + 1.43204 × 10
351
,
6.57060 × 10
349
u
121
+ 1.89785 × 10
350
u
120
+ ··· + 3.66222 × 10
351
a − 5.14072 × 10
352
,
u
122
− 2u
121
+ ··· − 152u − 47i
I
u
2
= h5203601u
24
− 8655319u
23
+ ··· + 2543847b + 13993811,
1931569u
24
− 2943707u
23
+ ··· + 847949a + 3267199, u
25
− u
24
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 147 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
= h6.61 × 10
347
u
121
− 2.32 × 10
348
u
120
+ · · · + 2.34 × 10
350
b + 1.43 ×
10
351
, 6.57 × 10
349
u
121
+ 1.90 × 10
350
u
120
+ · · · + 3.66 × 10
351
a − 5.14 ×
10
352
, u
122
− 2u
121
+ · · · − 152u − 47i
(i) Arc colorings
a
6
=
1
0
a
9
=
0
u
a
5
=
1
u
2
a
10
=
u
u
3
+ u
a
1
=
−0.0179416u
121
− 0.0518224u
120
+ ··· + 69.8068u + 14.0372
−0.00282951u
121
+ 0.00991885u
120
+ ··· − 28.6098u − 6.12616
a
4
=
u
2
+ 1
u
4
+ 2u
2
a
2
=
0.00428493u
121
− 0.0507703u
120
+ ··· + 79.9417u + 15.7605
−0.0155258u
121
+ 0.0135688u
120
+ ··· − 27.5804u − 5.99751
a
8
=
0.136734u
121
− 0.432540u
120
+ ··· + 9.98190u + 12.6345
−0.0476945u
121
+ 0.180320u
120
+ ··· + 1.25918u − 0.937436
a
12
=
−0.0151121u
121
− 0.0617412u
120
+ ··· + 98.4166u + 20.1633
−0.00282951u
121
+ 0.00991885u
120
+ ··· − 28.6098u − 6.12616
a
7
=
−0.0450192u
121
+ 0.0839493u
120
+ ··· + 55.6338u + 2.64084
0.0250738u
121
− 0.0917528u
120
+ ··· − 17.9308u + 1.65005
a
11
=
0.00533299u
121
+ 0.0826627u
120
+ ··· + 11.2409u + 8.99684
−0.00257120u
121
− 0.0401578u
120
+ ··· − 5.20743u − 1.39274
a
3
=
0.0525949u
121
− 0.0614382u
120
+ ··· + 95.0912u + 12.7763
−0.0105100u
121
+ 0.0172075u
120
+ ··· − 31.6028u − 1.95745
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.328524u
121
− 0.623159u
120
+ ··· − 90.1165u + 22.2357
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
3(3u
122
− 34u
121
+ ··· + 928u − 64)
c
2
, c
7
u
122
− 31u
120
+ ··· + 12944u + 3049
c
3
3(3u
122
− u
121
+ ··· − 5439u − 6578)
c
4
, c
5
, c
9
u
122
− 2u
121
+ ··· − 152u − 47
c
6
, c
12
3(3u
122
+ 13u
121
+ ··· − 10048u − 9856)
c
8
u
122
+ 33u
120
+ ··· + 43329371u + 6397761
c
10
u
122
+ 4u
121
+ ··· + 218080u − 15200
c
11
u
122
+ 5u
121
+ ··· − 286928u + 42477
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
9(9y
122
− 178y
121
+ ··· − 586752y + 4096)
c
2
, c
7
y
122
− 62y
121
+ ··· − 249449374y + 9296401
c
3
9(9y
122
+ 323y
121
+ ··· + 3.39707 × 10
9
y + 4.32701 × 10
7
)
c
4
, c
5
, c
9
y
122
+ 134y
121
+ ··· + 155026y + 2209
c
6
, c
12
9(9y
122
+ 887y
121
+ ··· + 7.49242 × 10
9
y + 9.71407 × 10
7
)
c
8
y
122
+ 66y
121
+ ··· + 154006928978549y + 40931345813121
c
10
y
122
− 30y
121
+ ··· − 15898137600y + 231040000
c
11
y
122
− 25y
121
+ ··· − 64741944322y + 1804295529
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.711563 + 0.720964I
a = −1.393790 + 0.166814I
b = −0.385156 + 1.286830I
−3.41596 − 8.34949I 0
u = −0.711563 − 0.720964I
a = −1.393790 − 0.166814I
b = −0.385156 − 1.286830I
−3.41596 + 8.34949I 0
u = −0.944407 + 0.213488I
a = 0.123892 + 0.730233I
b = 0.211045 + 1.169170I
−1.93761 + 3.07571I 0
u = −0.944407 − 0.213488I
a = 0.123892 − 0.730233I
b = 0.211045 − 1.169170I
−1.93761 − 3.07571I 0
u = −0.919192 + 0.571564I
a = 0.803946 − 0.667457I
b = 0.021906 − 1.351500I
−3.59564 − 3.96001I 0
u = −0.919192 − 0.571564I
a = 0.803946 + 0.667457I
b = 0.021906 + 1.351500I
−3.59564 + 3.96001I 0
u = 0.824964 + 0.703277I
a = 1.253070 + 0.282967I
b = 0.48146 + 1.38037I
−0.5307 + 14.4114I 0
u = 0.824964 − 0.703277I
a = 1.253070 − 0.282967I
b = 0.48146 − 1.38037I
−0.5307 − 14.4114I 0
u = 0.388492 + 1.015430I
a = −0.562166 − 0.618126I
b = 0.175635 − 1.239650I
−1.32108 − 2.03766I 0
u = 0.388492 − 1.015430I
a = −0.562166 + 0.618126I
b = 0.175635 + 1.239650I
−1.32108 + 2.03766I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.646003 + 0.637157I
a = −0.486912 − 0.920991I
b = −0.743569 + 0.184739I
3.65027 + 4.40861I 0
u = −0.646003 − 0.637157I
a = −0.486912 + 0.920991I
b = −0.743569 − 0.184739I
3.65027 − 4.40861I 0
u = −0.800406 + 0.779400I
a = 0.869349 − 0.273565I
b = 0.242672 − 1.354910I
−4.15358 − 2.18179I 0
u = −0.800406 − 0.779400I
a = 0.869349 + 0.273565I
b = 0.242672 + 1.354910I
−4.15358 + 2.18179I 0
u = 0.875561 + 0.742822I
a = −0.828938 − 0.268010I
b = −0.434435 − 1.182230I
−3.28469 + 5.56042I 0
u = 0.875561 − 0.742822I
a = −0.828938 + 0.268010I
b = −0.434435 + 1.182230I
−3.28469 − 5.56042I 0
u = 1.075060 + 0.432573I
a = 0.034159 + 0.686221I
b = −0.340366 + 1.218210I
0.40180 − 8.35687I 0
u = 1.075060 − 0.432573I
a = 0.034159 − 0.686221I
b = −0.340366 − 1.218210I
0.40180 + 8.35687I 0
u = −0.144300 + 0.809129I
a = −0.07390 − 1.72418I
b = −0.285127 + 0.727893I
3.40823 − 2.43241I 0
u = −0.144300 − 0.809129I
a = −0.07390 + 1.72418I
b = −0.285127 − 0.727893I
3.40823 + 2.43241I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.966543 + 0.696539I
a = −0.601302 − 0.495746I
b = 0.088758 − 1.105320I
−2.99662 + 0.99837I 0
u = 0.966543 − 0.696539I
a = −0.601302 + 0.495746I
b = 0.088758 + 1.105320I
−2.99662 − 0.99837I 0
u = −0.671198 + 0.449572I
a = 1.228040 + 0.056946I
b = 1.102320 − 0.119184I
4.15580 − 8.88626I 0
u = −0.671198 − 0.449572I
a = 1.228040 − 0.056946I
b = 1.102320 + 0.119184I
4.15580 + 8.88626I 0
u = 0.592638 + 0.541840I
a = 0.098411 + 0.973133I
b = −0.285793 + 0.805911I
2.81379 − 0.15458I 0
u = 0.592638 − 0.541840I
a = 0.098411 − 0.973133I
b = −0.285793 − 0.805911I
2.81379 + 0.15458I 0
u = −0.110720 + 1.199860I
a = −0.140904 + 1.236810I
b = 0.238007 − 0.355608I
1.82109 + 0.39807I 0
u = −0.110720 − 1.199860I
a = −0.140904 − 1.236810I
b = 0.238007 + 0.355608I
1.82109 − 0.39807I 0
u = 0.620141 + 0.482366I
a = 1.65587 + 0.57045I
b = 0.458721 + 0.949845I
2.97710 + 4.30693I 0
u = 0.620141 − 0.482366I
a = 1.65587 − 0.57045I
b = 0.458721 − 0.949845I
2.97710 − 4.30693I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.552575 + 0.547041I
a = −1.134450 + 0.309121I
b = −0.782083 − 0.025889I
0.65822 + 4.07057I 0
u = 0.552575 − 0.547041I
a = −1.134450 − 0.309121I
b = −0.782083 + 0.025889I
0.65822 − 4.07057I 0
u = −0.504759 + 0.574242I
a = 0.573223 − 0.402914I
b = −0.025420 − 1.288960I
−2.90797 − 1.31424I 0
u = −0.504759 − 0.574242I
a = 0.573223 + 0.402914I
b = −0.025420 + 1.288960I
−2.90797 + 1.31424I 0
u = −0.166628 + 1.260070I
a = 0.499290 + 0.246247I
b = 0.48725 − 1.51603I
−3.71841 − 1.26400I 0
u = −0.166628 − 1.260070I
a = 0.499290 − 0.246247I
b = 0.48725 + 1.51603I
−3.71841 + 1.26400I 0
u = 0.593443 + 0.357252I
a = 0.978294 − 0.576018I
b = 0.560470 + 0.099085I
1.193900 − 0.193638I 0
u = 0.593443 − 0.357252I
a = 0.978294 + 0.576018I
b = 0.560470 − 0.099085I
1.193900 + 0.193638I 0
u = −0.168599 + 0.648321I
a = −0.295148 + 0.830971I
b = 0.191511 − 1.052380I
−2.45670 − 1.73198I 0
u = −0.168599 − 0.648321I
a = −0.295148 − 0.830971I
b = 0.191511 + 1.052380I
−2.45670 + 1.73198I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.363565 + 0.560558I
a = 1.77768 + 0.49343I
b = 0.106654 − 1.301380I
−3.17722 − 2.12113I 0
u = −0.363565 − 0.560558I
a = 1.77768 − 0.49343I
b = 0.106654 + 1.301380I
−3.17722 + 2.12113I 0
u = 0.644624 + 0.168603I
a = −1.50186 − 1.79693I
b = −0.318245 − 1.260090I
1.20438 + 5.87556I 0
u = 0.644624 − 0.168603I
a = −1.50186 + 1.79693I
b = −0.318245 + 1.260090I
1.20438 − 5.87556I 0
u = 0.529634 + 0.380291I
a = 0.76835 + 1.42293I
b = −0.286234 + 0.353485I
1.79521 + 4.30982I 6.00000 − 6.96880I
u = 0.529634 − 0.380291I
a = 0.76835 − 1.42293I
b = −0.286234 − 0.353485I
1.79521 − 4.30982I 6.00000 + 6.96880I
u = −0.068350 + 1.354020I
a = 0.879519 + 0.471079I
b = 0.894615 − 0.037123I
0.37227 − 3.90700I 0
u = −0.068350 − 1.354020I
a = 0.879519 − 0.471079I
b = 0.894615 + 0.037123I
0.37227 + 3.90700I 0
u = 0.221459 + 0.578403I
a = 1.83852 + 0.27944I
b = 0.55654 + 1.33372I
−1.51959 + 7.61336I 1.31895 − 8.06220I
u = 0.221459 − 0.578403I
a = 1.83852 − 0.27944I
b = 0.55654 − 1.33372I
−1.51959 − 7.61336I 1.31895 + 8.06220I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.14969 + 1.41637I
a = 1.71834 − 0.45136I
b = 0.394011 + 1.307680I
−3.83496 + 8.49001I 0
u = 0.14969 − 1.41637I
a = 1.71834 + 0.45136I
b = 0.394011 − 1.307680I
−3.83496 − 8.49001I 0
u = 0.08472 + 1.44133I
a = −0.408149 + 0.109054I
b = −2.15366 − 0.96195I
−4.10524 + 0.35227I 0
u = 0.08472 − 1.44133I
a = −0.408149 − 0.109054I
b = −2.15366 + 0.96195I
−4.10524 − 0.35227I 0
u = 0.397137 + 0.364224I
a = 0.998842 + 0.493503I
b = 0.963377 + 0.544778I
1.60418 − 1.28589I 5.39014 − 4.42202I
u = 0.397137 − 0.364224I
a = 0.998842 − 0.493503I
b = 0.963377 − 0.544778I
1.60418 + 1.28589I 5.39014 + 4.42202I
u = −0.179399 + 0.501683I
a = −2.23272 + 0.79175I
b = −0.375239 + 1.137740I
−4.44948 − 1.35368I −3.38262 + 9.54178I
u = −0.179399 − 0.501683I
a = −2.23272 − 0.79175I
b = −0.375239 − 1.137740I
−4.44948 + 1.35368I −3.38262 − 9.54178I
u = 0.08929 + 1.47252I
a = −0.608189 + 0.288110I
b = −0.513432 − 0.573870I
−4.41097 + 1.90052I 0
u = 0.08929 − 1.47252I
a = −0.608189 − 0.288110I
b = −0.513432 + 0.573870I
−4.41097 − 1.90052I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.361732 + 0.376917I
a = −0.671912 + 0.745291I
b = −0.266762 − 0.217897I
−1.38502 − 1.11204I −1.01179 + 2.65936I
u = −0.361732 − 0.376917I
a = −0.671912 − 0.745291I
b = −0.266762 + 0.217897I
−1.38502 + 1.11204I −1.01179 − 2.65936I
u = 0.01380 + 1.48140I
a = −0.071801 − 0.845889I
b = 0.05954 + 1.99044I
−6.47523 + 0.96880I 0
u = 0.01380 − 1.48140I
a = −0.071801 + 0.845889I
b = 0.05954 − 1.99044I
−6.47523 − 0.96880I 0
u = −0.08734 + 1.48047I
a = −0.645293 − 0.186675I
b = −1.180530 − 0.503207I
−1.50030 − 1.09339I 0
u = −0.08734 − 1.48047I
a = −0.645293 + 0.186675I
b = −1.180530 + 0.503207I
−1.50030 + 1.09339I 0
u = −0.375684 + 0.349981I
a = 1.77959 + 0.54451I
b = 0.834764 + 0.478037I
4.56255 + 0.46430I 12.30374 + 4.04241I
u = −0.375684 − 0.349981I
a = 1.77959 − 0.54451I
b = 0.834764 − 0.478037I
4.56255 − 0.46430I 12.30374 − 4.04241I
u = 0.17535 + 1.47846I
a = −1.091770 − 0.334682I
b = −0.156136 − 0.434741I
−4.29256 + 6.88236I 0
u = 0.17535 − 1.47846I
a = −1.091770 + 0.334682I
b = −0.156136 + 0.434741I
−4.29256 − 6.88236I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.00805 + 1.50090I
a = −1.35168 + 1.39321I
b = 0.013083 − 1.194870I
−6.76650 − 6.68366I 0
u = −0.00805 − 1.50090I
a = −1.35168 − 1.39321I
b = 0.013083 + 1.194870I
−6.76650 + 6.68366I 0
u = −0.11115 + 1.49746I
a = 0.721143 − 0.197957I
b = 0.731066 + 0.108932I
−7.65579 − 2.81845I 0
u = −0.11115 − 1.49746I
a = 0.721143 + 0.197957I
b = 0.731066 − 0.108932I
−7.65579 + 2.81845I 0
u = 0.491834
a = 0.826601
b = 0.427603
0.747878 13.9070
u = −0.20500 + 1.49703I
a = −0.601061 − 0.316134I
b = −1.36599 + 0.38177I
−2.20069 − 12.01280I 0
u = −0.20500 − 1.49703I
a = −0.601061 + 0.316134I
b = −1.36599 − 0.38177I
−2.20069 + 12.01280I 0
u = −0.05256 + 1.51357I
a = 1.78553 + 0.73527I
b = 0.180396 − 1.122430I
−10.64480 − 1.02048I 0
u = −0.05256 − 1.51357I
a = 1.78553 − 0.73527I
b = 0.180396 + 1.122430I
−10.64480 + 1.02048I 0
u = 0.25128 + 1.49421I
a = 0.132273 + 0.284904I
b = 0.050814 − 0.178084I
−4.45702 + 3.13630I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.25128 − 1.49421I
a = 0.132273 − 0.284904I
b = 0.050814 + 0.178084I
−4.45702 − 3.13630I 0
u = 0.18791 + 1.51173I
a = −1.253800 + 0.362385I
b = −0.564013 − 1.063060I
−3.57801 + 7.20388I 0
u = 0.18791 − 1.51173I
a = −1.253800 − 0.362385I
b = −0.564013 + 1.063060I
−3.57801 − 7.20388I 0
u = −0.07143 + 1.52949I
a = −0.91040 − 1.34671I
b = −0.117246 + 1.356750I
−10.11610 − 3.49099I 0
u = −0.07143 − 1.52949I
a = −0.91040 + 1.34671I
b = −0.117246 − 1.356750I
−10.11610 + 3.49099I 0
u = −0.03826 + 1.53414I
a = 0.998132 + 0.323734I
b = 0.61856 − 1.30241I
−11.35470 − 2.06133I 0
u = −0.03826 − 1.53414I
a = 0.998132 − 0.323734I
b = 0.61856 + 1.30241I
−11.35470 + 2.06133I 0
u = −0.214257 + 0.411180I
a = −3.97086 + 0.67080I
b = 0.015098 + 1.073910I
−4.11671 − 0.12736I 0.94456 − 1.28817I
u = −0.214257 − 0.411180I
a = −3.97086 − 0.67080I
b = 0.015098 − 1.073910I
−4.11671 + 0.12736I 0.94456 + 1.28817I
u = 0.16074 + 1.53123I
a = 0.633130 − 0.281624I
b = 1.010040 + 0.125952I
−6.21732 + 6.63593I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.16074 − 1.53123I
a = 0.633130 + 0.281624I
b = 1.010040 − 0.125952I
−6.21732 − 6.63593I 0
u = 0.06878 + 1.54356I
a = −0.814170 + 0.480849I
b = −0.68661 − 1.59169I
−8.65685 + 8.70085I 0
u = 0.06878 − 1.54356I
a = −0.814170 − 0.480849I
b = −0.68661 + 1.59169I
−8.65685 − 8.70085I 0
u = −0.08508 + 1.54373I
a = −0.402595 − 0.770129I
b = −0.07977 + 1.48769I
−10.09870 − 3.08767I 0
u = −0.08508 − 1.54373I
a = −0.402595 + 0.770129I
b = −0.07977 − 1.48769I
−10.09870 + 3.08767I 0
u = −0.422166 + 0.127391I
a = −2.73261 + 0.44017I
b = −0.664570 − 0.055125I
4.98035 − 2.21429I 17.4566 + 3.7886I
u = −0.422166 − 0.127391I
a = −2.73261 − 0.44017I
b = −0.664570 + 0.055125I
4.98035 + 2.21429I 17.4566 − 3.7886I
u = −0.00616 + 1.56274I
a = −0.484914 + 0.271559I
b = −0.123149 − 0.405837I
−4.60062 + 2.04307I 0
u = −0.00616 − 1.56274I
a = −0.484914 − 0.271559I
b = −0.123149 + 0.405837I
−4.60062 − 2.04307I 0
u = −0.00130 + 1.56633I
a = 0.553271 − 0.598667I
b = 0.215372 + 1.280170I
−10.06680 − 2.12419I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.00130 − 1.56633I
a = 0.553271 + 0.598667I
b = 0.215372 − 1.280170I
−10.06680 + 2.12419I 0
u = −0.31753 + 1.58025I
a = −1.012220 − 0.275174I
b = −0.15192 + 1.45664I
−10.61220 − 8.50524I 0
u = −0.31753 − 1.58025I
a = −1.012220 + 0.275174I
b = −0.15192 − 1.45664I
−10.61220 + 8.50524I 0
u = −0.23654 + 1.60033I
a = −0.925423 − 0.517825I
b = −0.34973 + 1.53498I
−11.93380 − 5.91895I 0
u = −0.23654 − 1.60033I
a = −0.925423 + 0.517825I
b = −0.34973 − 1.53498I
−11.93380 + 5.91895I 0
u = −0.23166 + 1.60217I
a = 1.121430 + 0.581215I
b = 0.45711 − 1.41089I
−11.1142 − 11.8998I 0
u = −0.23166 − 1.60217I
a = 1.121430 − 0.581215I
b = 0.45711 + 1.41089I
−11.1142 + 11.8998I 0
u = 0.27155 + 1.60500I
a = −1.066730 + 0.544388I
b = −0.52211 − 1.52980I
−8.1184 + 18.5002I 0
u = 0.27155 − 1.60500I
a = −1.066730 − 0.544388I
b = −0.52211 + 1.52980I
−8.1184 − 18.5002I 0
u = 0.26729 + 1.61046I
a = 0.827724 − 0.462263I
b = 0.55169 + 1.48040I
−11.0020 + 9.7291I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.26729 − 1.61046I
a = 0.827724 + 0.462263I
b = 0.55169 − 1.48040I
−11.0020 − 9.7291I 0
u = −0.360012
a = −0.637271
b = −1.81783
−0.554574 82.4010
u = 0.28630 + 1.62363I
a = 0.891455 − 0.261313I
b = 0.151880 + 1.200770I
−10.66770 + 5.55004I 0
u = 0.28630 − 1.62363I
a = 0.891455 + 0.261313I
b = 0.151880 − 1.200770I
−10.66770 − 5.55004I 0
u = 0.024700 + 0.331626I
a = 5.14653 − 2.58915I
b = −0.239406 + 1.142260I
−0.47715 − 6.65366I −2.99743 + 8.37718I
u = 0.024700 − 0.331626I
a = 5.14653 + 2.58915I
b = −0.239406 − 1.142260I
−0.47715 + 6.65366I −2.99743 − 8.37718I
u = 0.021499 + 0.227497I
a = 0.17878 + 2.35479I
b = −0.22556 − 1.76784I
−0.554858 + 0.805266I 21.3978 + 5.0125I
u = 0.021499 − 0.227497I
a = 0.17878 − 2.35479I
b = −0.22556 + 1.76784I
−0.554858 − 0.805266I 21.3978 − 5.0125I
u = 0.27114 + 1.78891I
a = −0.478508 + 0.386099I
b = 0.039931 − 1.194280I
−7.15389 − 2.16351I 0
u = 0.27114 − 1.78891I
a = −0.478508 − 0.386099I
b = 0.039931 + 1.194280I
−7.15389 + 2.16351I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.44723 + 1.82378I
a = 0.376829 + 0.289427I
b = 0.046427 − 1.238160I
−7.79059 − 3.56068I 0
u = −0.44723 − 1.82378I
a = 0.376829 − 0.289427I
b = 0.046427 + 1.238160I
−7.79059 + 3.56068I 0
17
II. I
u
2
= h5.20 × 10
6
u
24
− 8.66 × 10
6
u
23
+ · · · + 2.54 × 10
6
b + 1.40 × 10
7
, 1.93 ×
10
6
u
24
− 2.94 × 10
6
u
23
+ · · · + 8.48 × 10
5
a + 3.27 × 10
6
, u
25
− u
24
+ · · · + 3u + 1i
(i) Arc colorings
a
6
=
1
0
a
9
=
0
u
a
5
=
1
u
2
a
10
=
u
u
3
+ u
a
1
=
−2.27793u
24
+ 3.47156u
23
+ ··· − 4.62200u − 3.85306
−2.04556u
24
+ 3.40245u
23
+ ··· − 5.10959u − 5.50104
a
4
=
u
2
+ 1
u
4
+ 2u
2
a
2
=
−0.0507499u
24
− 0.0445302u
23
+ ··· − 1.31781u + 0.761174
−1.40178u
24
+ 2.40954u
23
+ ··· − 3.43125u − 3.55933
a
8
=
6.50472u
24
− 9.26773u
23
+ ··· + 5.64318u + 6.98691
1.25294u
24
− 2.23907u
23
+ ··· − 1.06793u + 2.29477
a
12
=
−0.232367u
24
+ 0.0691087u
23
+ ··· + 0.487586u + 1.64798
−2.04556u
24
+ 3.40245u
23
+ ··· − 5.10959u − 5.50104
a
7
=
−0.0887260u
24
+ 0.805143u
23
+ ··· − 3.65878u − 2.01440
−2.20604u
24
+ 2.74256u
23
+ ··· − 7.93073u − 5.93784
a
11
=
8.07130u
24
− 11.3266u
23
+ ··· + 17.3986u + 15.1353
2.50446u
24
− 3.41694u
23
+ ··· + 3.95105u + 2.52628
a
3
=
6.78347u
24
− 10.3188u
23
+ ··· + 10.0144u + 16.2458
−1.73546u
24
+ 2.45203u
23
+ ··· − 2.22323u − 2.83892
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
1354961699
68683869
u
24
+
2077690858
68683869
u
23
+ ··· −
1452449185
68683869
u −
2691363689
68683869
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
3(3u
25
− 11u
24
+ ··· + 3u − 1)
c
2
u
25
+ u
24
+ ··· + u + 1
c
3
3(3u
25
− 4u
24
+ ··· − 11u + 5)
c
4
, c
5
u
25
− u
24
+ ··· + 3u + 1
c
6
3(3u
25
+ 10u
24
+ ··· − 44u + 13)
c
7
u
25
− u
24
+ ··· + u − 1
c
8
u
25
+ u
24
+ ··· + 22u + 3
c
9
u
25
+ u
24
+ ··· + 3u − 1
c
10
u
25
+ 3u
24
+ ··· − 8u − 8
c
11
u
25
+ 8u
24
+ ··· + 37u + 3
c
12
3(3u
25
− 10u
24
+ ··· − 44u − 13)
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
9(9y
25
− 61y
24
+ ··· − 9y −1)
c
2
, c
7
y
25
− 9y
24
+ ··· + 21y −1
c
3
9(9y
25
+ 80y
24
+ ··· − 439y −25)
c
4
, c
5
, c
9
y
25
+ 31y
24
+ ··· − 11y −1
c
6
, c
12
9(9y
25
+ 212y
24
+ ··· − 196y −169)
c
8
y
25
+ 23y
24
+ ··· + 490y −9
c
10
y
25
− 5y
24
+ ··· + 608y −64
c
11
y
25
− 8y
24
+ ··· + 241y −9
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.953006 + 0.609419I
a = −0.702323 − 0.508598I
b = −0.143934 − 1.279010I
−3.75446 + 2.84607I 1.75521 − 6.83793I
u = 0.953006 − 0.609419I
a = −0.702323 + 0.508598I
b = −0.143934 + 1.279010I
−3.75446 − 2.84607I 1.75521 + 6.83793I
u = −0.051411 + 0.820539I
a = −0.013715 − 0.601648I
b = −0.233278 − 1.311000I
−1.24049 + 0.73866I 5.97331 + 1.55223I
u = −0.051411 − 0.820539I
a = −0.013715 + 0.601648I
b = −0.233278 + 1.311000I
−1.24049 − 0.73866I 5.97331 − 1.55223I
u = −0.056133 + 1.179980I
a = −0.038672 + 1.159100I
b = −0.346581 − 0.537903I
1.67169 + 1.27167I 5.54338 − 5.39268I
u = −0.056133 − 1.179980I
a = −0.038672 − 1.159100I
b = −0.346581 + 0.537903I
1.67169 − 1.27167I 5.54338 + 5.39268I
u = 0.142109 + 1.403260I
a = −0.334973 + 0.211249I
b = −1.23550 − 1.53559I
−3.95324 + 0.10298I −0.87661 + 11.43883I
u = 0.142109 − 1.403260I
a = −0.334973 − 0.211249I
b = −1.23550 + 1.53559I
−3.95324 − 0.10298I −0.87661 − 11.43883I
u = −0.14393 + 1.44520I
a = −1.62048 + 0.06443I
b = −0.433633 + 1.150590I
−4.85022 − 8.74496I 0. + 9.43172I
u = −0.14393 − 1.44520I
a = −1.62048 − 0.06443I
b = −0.433633 − 1.150590I
−4.85022 + 8.74496I 0. − 9.43172I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.505901 + 0.033818I
a = −0.69057 + 2.73017I
b = 0.309455 + 1.143120I
0.20095 + 6.61023I 8.22034 − 6.98326I
u = −0.505901 − 0.033818I
a = −0.69057 − 2.73017I
b = 0.309455 − 1.143120I
0.20095 − 6.61023I 8.22034 + 6.98326I
u = 0.04152 + 1.51136I
a = 1.50388 − 0.62150I
b = 0.360522 + 1.182930I
−10.40960 + 1.66756I 3.53276 − 4.27763I
u = 0.04152 − 1.51136I
a = 1.50388 + 0.62150I
b = 0.360522 − 1.182930I
−10.40960 − 1.66756I 3.53276 + 4.27763I
u = −0.29822 + 1.48265I
a = 0.359261 − 0.010371I
b = 0.294397 − 0.527129I
−4.72935 − 3.56321I −1.49424 + 9.35141I
u = −0.29822 − 1.48265I
a = 0.359261 + 0.010371I
b = 0.294397 + 0.527129I
−4.72935 + 3.56321I −1.49424 − 9.35141I
u = −0.049553 + 0.472941I
a = −0.42692 − 2.32869I
b = 0.380751 − 0.070614I
4.09675 − 1.69671I 10.23605 + 0.18054I
u = −0.049553 − 0.472941I
a = −0.42692 + 2.32869I
b = 0.380751 + 0.070614I
4.09675 + 1.69671I 10.23605 − 0.18054I
u = −0.442726
a = −0.307019
b = −1.28511
−0.644153 −17.6250
u = 0.193783 + 0.367383I
a = −3.55785 − 1.06926I
b = −0.194179 − 1.121940I
−3.97721 + 0.93985I 4.29842 − 3.66805I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.193783 − 0.367383I
a = −3.55785 + 1.06926I
b = −0.194179 + 1.121940I
−3.97721 − 0.93985I 4.29842 + 3.66805I
u = 0.29389 + 1.60477I
a = 0.894930 − 0.370990I
b = 0.26736 + 1.40770I
−11.09190 + 7.34545I 0. − 4.21220I
u = 0.29389 − 1.60477I
a = 0.894930 + 0.370990I
b = 0.26736 − 1.40770I
−11.09190 − 7.34545I 0. + 4.21220I
u = 0.20221 + 1.77609I
a = −0.219062 + 0.529517I
b = −0.049493 − 1.235800I
−7.69910 + 3.14314I 0
u = 0.20221 − 1.77609I
a = −0.219062 − 0.529517I
b = −0.049493 + 1.235800I
−7.69910 − 3.14314I 0
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
9(3u
25
− 11u
24
+ ··· + 3u − 1)(3u
122
− 34u
121
+ ··· + 928u − 64)
c
2
(u
25
+ u
24
+ ··· + u + 1)(u
122
− 31u
120
+ ··· + 12944u + 3049)
c
3
9(3u
25
− 4u
24
+ ··· − 11u + 5)(3u
122
− u
121
+ ··· − 5439u − 6578)
c
4
, c
5
(u
25
− u
24
+ ··· + 3u + 1)(u
122
− 2u
121
+ ··· − 152u − 47)
c
6
9(3u
25
+ 10u
24
+ ··· − 44u + 13)
· (3u
122
+ 13u
121
+ ··· − 10048u − 9856)
c
7
(u
25
− u
24
+ ··· + u − 1)(u
122
− 31u
120
+ ··· + 12944u + 3049)
c
8
(u
25
+ u
24
+ ··· + 22u + 3)
· (u
122
+ 33u
120
+ ··· + 43329371u + 6397761)
c
9
(u
25
+ u
24
+ ··· + 3u − 1)(u
122
− 2u
121
+ ··· − 152u − 47)
c
10
(u
25
+ 3u
24
+ ··· − 8u − 8)(u
122
+ 4u
121
+ ··· + 218080u − 15200)
c
11
(u
25
+ 8u
24
+ ··· + 37u + 3)(u
122
+ 5u
121
+ ··· − 286928u + 42477)
c
12
9(3u
25
− 10u
24
+ ··· − 44u − 13)
· (3u
122
+ 13u
121
+ ··· − 10048u − 9856)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
81(9y
25
− 61y
24
+ ··· − 9y −1)
· (9y
122
− 178y
121
+ ··· − 586752y + 4096)
c
2
, c
7
(y
25
− 9y
24
+ ··· + 21y −1)
· (y
122
− 62y
121
+ ··· − 249449374y + 9296401)
c
3
81(9y
25
+ 80y
24
+ ··· − 439y −25)
· (9y
122
+ 323y
121
+ ··· + 3397068507y + 43270084)
c
4
, c
5
, c
9
(y
25
+ 31y
24
+ ··· − 11y −1)(y
122
+ 134y
121
+ ··· + 155026y + 2209)
c
6
, c
12
81(9y
25
+ 212y
24
+ ··· − 196y −169)
· (9y
122
+ 887y
121
+ ··· + 7492415488y + 97140736)
c
8
(y
25
+ 23y
24
+ ··· + 490y −9)
· (y
122
+ 66y
121
+ ··· + 154006928978549y + 40931345813121)
c
10
(y
25
− 5y
24
+ ··· + 608y −64)
· (y
122
− 30y
121
+ ··· − 15898137600y + 231040000)
c
11
(y
25
− 8y
24
+ ··· + 241y −9)
· (y
122
− 25y
121
+ ··· − 64741944322y + 1804295529)
25
