12a
1048
(K12a
1048
)
A knot diagram
1
Linearized knot diagam
4 7 9 10 11 2 12 3 1 6 5 8
Solving Sequence
3,8
9
1,4
10 5 12 7 2 6 11
c
8
c
3
c
9
c
4
c
12
c
7
c
2
c
6
c
11
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.21895 × 10
483
u
122
− 2.00271 × 10
482
u
121
+ ··· + 2.90201 × 10
482
b + 1.95148 × 10
485
,
1.85948 × 10
485
u
122
− 3.93751 × 10
484
u
121
+ ··· + 3.97576 × 10
484
a + 3.12400 × 10
487
,
u
123
− u
122
+ ··· + 853u − 137i
I
u
2
= h3615086u
24
+ 4785247u
23
+ ··· + 2401109b − 9094340,
− 5355406u
24
+ 999159u
23
+ ··· + 7203327a + 12279998, u
25
− 12u
23
+ ··· + 4u + 3i
* 2 irreducible components of dim
C
= 0, with total 148 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
= h1.22 × 10
483
u
122
− 2.00 × 10
482
u
121
+ · · · + 2.90 × 10
482
b + 1.95 ×
10
485
, 1.86 × 10
485
u
122
− 3.94 × 10
484
u
121
+ · · · + 3.98 × 10
484
a + 3.12 ×
10
487
, u
123
− u
122
+ · · · + 853u − 137i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
1
=
−4.67704u
122
+ 0.990379u
121
+ ··· + 3876.46u − 785.763
−4.20035u
122
+ 0.690110u
121
+ ··· + 3393.47u − 672.456
a
4
=
−u
−u
3
+ u
a
10
=
−1.36566u
122
− 0.0177930u
121
+ ··· + 1101.44u − 210.574
−3.17578u
122
+ 0.515977u
121
+ ··· + 2687.38u − 534.214
a
5
=
1.79496u
122
− 0.0577026u
121
+ ··· − 1325.63u + 255.267
4.80962u
122
− 0.664266u
121
+ ··· − 3857.94u + 760.602
a
12
=
−0.476686u
122
+ 0.300269u
121
+ ··· + 482.987u − 113.307
−4.20035u
122
+ 0.690110u
121
+ ··· + 3393.47u − 672.456
a
7
=
−2.03889u
122
+ 0.462183u
121
+ ··· + 1852.80u − 372.392
8.25817u
122
− 1.01878u
121
+ ··· − 6665.60u + 1310.00
a
2
=
−0.676402u
122
+ 0.255561u
121
+ ··· + 610.368u − 132.811
−5.46240u
122
+ 0.914876u
121
+ ··· + 4421.91u − 877.990
a
6
=
−2.63084u
122
+ 0.421127u
121
+ ··· + 2131.33u − 416.137
6.62526u
122
− 0.866746u
121
+ ··· − 5402.46u + 1065.21
a
11
=
−4.44348u
122
+ 0.332202u
121
+ ··· + 3545.17u − 687.481
7.02325u
122
− 0.491528u
121
+ ··· − 5313.14u + 1030.01
(ii) Obstruction class = −1
(iii) Cusp Shapes = −24.7292u
122
+ 2.72629u
121
+ ··· + 19167.5u − 3758.32
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
123
− 4u
122
+ ··· + 608612u − 35287
c
2
, c
6
u
123
− 2u
122
+ ··· + 7280u − 1709
c
3
, c
8
u
123
+ u
122
+ ··· + 853u + 137
c
4
u
123
− u
122
+ ··· + 310818u + 82413
c
5
, c
10
, c
11
u
123
+ u
122
+ ··· + 48u + 9
c
7
, c
12
u
123
+ 2u
122
+ ··· + 4u + 1
c
9
u
123
− 2u
122
+ ··· + 2u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
123
− 24y
122
+ ··· + 48933975036y −1245172369
c
2
, c
6
y
123
− 84y
122
+ ··· + 29345840y −2920681
c
3
, c
8
y
123
− 87y
122
+ ··· + 642943y −18769
c
4
y
123
− 31y
122
+ ··· + 104568100794y −6791902569
c
5
, c
10
, c
11
y
123
+ 109y
122
+ ··· + 3186y −81
c
7
, c
12
y
123
− 72y
122
+ ··· + 112y −1
c
9
y
123
− 8y
122
+ ··· + 122y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.943927 + 0.361878I
a = 0.908606 − 0.984560I
b = 1.316770 − 0.232966I
−1.14555 + 2.82046I 0
u = 0.943927 − 0.361878I
a = 0.908606 + 0.984560I
b = 1.316770 + 0.232966I
−1.14555 − 2.82046I 0
u = 0.875727 + 0.452631I
a = −0.01544 + 1.88890I
b = −1.13845 + 0.95496I
1.15757 − 5.43534I 0
u = 0.875727 − 0.452631I
a = −0.01544 − 1.88890I
b = −1.13845 − 0.95496I
1.15757 + 5.43534I 0
u = −0.891895 + 0.507585I
a = −0.01788 + 1.92967I
b = 1.10603 + 1.03544I
−3.38927 + 8.71767I 0
u = −0.891895 − 0.507585I
a = −0.01788 − 1.92967I
b = 1.10603 − 1.03544I
−3.38927 − 8.71767I 0
u = 1.026550 + 0.121549I
a = 0.386221 + 1.319250I
b = −1.198580 + 0.420234I
−2.46420 − 1.83999I 0
u = 1.026550 − 0.121549I
a = 0.386221 − 1.319250I
b = −1.198580 − 0.420234I
−2.46420 + 1.83999I 0
u = −0.157699 + 0.938275I
a = 0.277855 + 0.268995I
b = −1.232660 + 0.014196I
3.44114 + 1.62193I 0
u = −0.157699 − 0.938275I
a = 0.277855 − 0.268995I
b = −1.232660 − 0.014196I
3.44114 − 1.62193I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.014780 + 0.274190I
a = −0.94328 − 1.10444I
b = −1.269650 − 0.444108I
2.74556 + 0.92758I 0
u = −1.014780 − 0.274190I
a = −0.94328 + 1.10444I
b = −1.269650 + 0.444108I
2.74556 − 0.92758I 0
u = −1.061450 + 0.078503I
a = −0.88476 + 1.21857I
b = 1.099060 + 0.307206I
−8.31481 − 0.54476I 0
u = −1.061450 − 0.078503I
a = −0.88476 − 1.21857I
b = 1.099060 − 0.307206I
−8.31481 + 0.54476I 0
u = −1.053660 + 0.166811I
a = −0.82483 + 1.39823I
b = −0.402376 + 0.640368I
−6.90473 − 0.66791I 0
u = −1.053660 − 0.166811I
a = −0.82483 − 1.39823I
b = −0.402376 − 0.640368I
−6.90473 + 0.66791I 0
u = −0.708309 + 0.587971I
a = −0.825937 − 0.455610I
b = −1.347660 + 0.339095I
−1.94726 + 1.61762I 0
u = −0.708309 − 0.587971I
a = −0.825937 + 0.455610I
b = −1.347660 − 0.339095I
−1.94726 − 1.61762I 0
u = 1.074590 + 0.221218I
a = 1.00913 − 1.20136I
b = 1.27968 − 0.65261I
−1.19981 − 4.88070I 0
u = 1.074590 − 0.221218I
a = 1.00913 + 1.20136I
b = 1.27968 + 0.65261I
−1.19981 + 4.88070I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.084660 + 0.181582I
a = −0.31392 + 1.77188I
b = 1.091840 + 0.530231I
−2.13487 + 5.15770I 0
u = −1.084660 − 0.181582I
a = −0.31392 − 1.77188I
b = 1.091840 − 0.530231I
−2.13487 − 5.15770I 0
u = −0.900205
a = 1.02288
b = 1.98444
4.01544 0
u = 0.895791 + 0.019019I
a = −1.009130 + 0.439876I
b = −1.95945 + 0.25495I
0.12052 − 4.25089I 0
u = 0.895791 − 0.019019I
a = −1.009130 − 0.439876I
b = −1.95945 − 0.25495I
0.12052 + 4.25089I 0
u = −0.820333 + 0.360106I
a = 0.10899 + 1.87087I
b = 1.23039 + 0.88663I
−2.13523 + 2.35342I 0
u = −0.820333 − 0.360106I
a = 0.10899 − 1.87087I
b = 1.23039 − 0.88663I
−2.13523 − 2.35342I 0
u = −0.595834 + 0.666999I
a = −0.752220 − 0.136772I
b = −1.254400 + 0.593067I
−2.54598 − 4.14695I 0
u = −0.595834 − 0.666999I
a = −0.752220 + 0.136772I
b = −1.254400 − 0.593067I
−2.54598 + 4.14695I 0
u = 0.628567 + 0.612338I
a = 0.721244 − 0.291562I
b = 1.253860 + 0.465398I
1.83812 + 1.17430I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.628567 − 0.612338I
a = 0.721244 + 0.291562I
b = 1.253860 − 0.465398I
1.83812 − 1.17430I 0
u = 1.011850 + 0.506765I
a = 0.20701 + 1.86271I
b = −0.803841 + 1.002100I
−4.71491 − 2.53383I 0
u = 1.011850 − 0.506765I
a = 0.20701 − 1.86271I
b = −0.803841 − 1.002100I
−4.71491 + 2.53383I 0
u = 1.124820 + 0.150846I
a = 0.49409 + 1.97860I
b = −1.023840 + 0.511274I
−7.57023 − 8.08021I 0
u = 1.124820 − 0.150846I
a = 0.49409 − 1.97860I
b = −1.023840 − 0.511274I
−7.57023 + 8.08021I 0
u = 1.044170 + 0.452068I
a = 0.54048 + 1.61241I
b = −0.302505 + 0.764357I
−5.75484 − 7.01132I 0
u = 1.044170 − 0.452068I
a = 0.54048 − 1.61241I
b = −0.302505 − 0.764357I
−5.75484 + 7.01132I 0
u = 0.071464 + 0.850950I
a = −0.310659 + 0.421459I
b = 1.285850 + 0.133404I
6.41680 + 2.49001I 0
u = 0.071464 − 0.850950I
a = −0.310659 − 0.421459I
b = 1.285850 − 0.133404I
6.41680 − 2.49001I 0
u = −1.053840 + 0.459422I
a = −0.11215 + 1.65604I
b = 0.832009 + 0.698244I
−0.59052 + 4.46516I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.053840 − 0.459422I
a = −0.11215 − 1.65604I
b = 0.832009 − 0.698244I
−0.59052 − 4.46516I 0
u = 0.819330 + 0.119219I
a = 0.65038 + 1.37615I
b = 0.480344 + 0.257697I
−1.34243 − 0.86064I 0
u = 0.819330 − 0.119219I
a = 0.65038 − 1.37615I
b = 0.480344 − 0.257697I
−1.34243 + 0.86064I 0
u = −1.062360 + 0.529457I
a = −0.183964 + 1.379970I
b = 0.681724 + 0.458602I
−0.57261 + 4.38148I 0
u = −1.062360 − 0.529457I
a = −0.183964 − 1.379970I
b = 0.681724 − 0.458602I
−0.57261 − 4.38148I 0
u = −0.006342 + 0.798607I
a = 0.343553 + 0.560626I
b = −1.319680 + 0.224194I
1.80789 − 6.44660I 0
u = −0.006342 − 0.798607I
a = 0.343553 − 0.560626I
b = −1.319680 − 0.224194I
1.80789 + 6.44660I 0
u = −0.749921 + 0.232002I
a = −0.64198 + 1.93072I
b = −0.309033 + 0.036205I
−0.14848 + 4.10853I 0
u = −0.749921 − 0.232002I
a = −0.64198 − 1.93072I
b = −0.309033 − 0.036205I
−0.14848 − 4.10853I 0
u = −0.400493 + 1.152770I
a = −0.490794 + 0.066694I
b = 0.769012 − 0.438048I
−7.86387 − 1.90779I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.400493 − 1.152770I
a = −0.490794 − 0.066694I
b = 0.769012 + 0.438048I
−7.86387 + 1.90779I 0
u = 0.427072 + 0.648572I
a = 0.430200 + 0.142061I
b = 0.904487 + 0.701968I
−3.06610 − 1.93239I 0
u = 0.427072 − 0.648572I
a = 0.430200 − 0.142061I
b = 0.904487 − 0.701968I
−3.06610 + 1.93239I 0
u = 0.746508 + 0.212985I
a = 0.91479 + 2.38092I
b = 0.288886 − 0.019338I
−5.48833 − 7.43918I 0
u = 0.746508 − 0.212985I
a = 0.91479 − 2.38092I
b = 0.288886 + 0.019338I
−5.48833 + 7.43918I 0
u = 0.057801 + 1.225450I
a = 0.164375 − 0.126913I
b = −1.177070 − 0.500730I
−2.18555 + 12.06840I 0
u = 0.057801 − 1.225450I
a = 0.164375 + 0.126913I
b = −1.177070 + 0.500730I
−2.18555 − 12.06840I 0
u = 1.192370 + 0.322491I
a = −0.17612 + 1.88313I
b = −1.066390 + 0.590194I
−5.10407 − 4.21172I 0
u = 1.192370 − 0.322491I
a = −0.17612 − 1.88313I
b = −1.066390 − 0.590194I
−5.10407 + 4.21172I 0
u = −0.037822 + 1.256410I
a = −0.174233 − 0.073283I
b = 1.161490 − 0.431431I
3.24434 − 7.77719I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.037822 − 1.256410I
a = −0.174233 + 0.073283I
b = 1.161490 + 0.431431I
3.24434 + 7.77719I 0
u = 0.657170 + 0.299786I
a = −0.134959 + 1.125220I
b = 0.492215 + 0.022504I
−1.72975 − 1.55845I 0
u = 0.657170 − 0.299786I
a = −0.134959 − 1.125220I
b = 0.492215 − 0.022504I
−1.72975 + 1.55845I 0
u = 1.243470 + 0.334315I
a = −0.31841 − 1.38144I
b = −0.295676 − 1.355500I
−4.25389 − 7.11888I 0
u = 1.243470 − 0.334315I
a = −0.31841 + 1.38144I
b = −0.295676 + 1.355500I
−4.25389 + 7.11888I 0
u = −1.240730 + 0.365552I
a = 0.44278 − 1.38631I
b = 0.39494 − 1.38877I
−9.3621 + 11.0853I 0
u = −1.240730 − 0.365552I
a = 0.44278 + 1.38631I
b = 0.39494 + 1.38877I
−9.3621 − 11.0853I 0
u = −1.271220 + 0.279397I
a = 0.099812 − 1.265720I
b = 0.143232 − 1.205370I
−6.44094 + 3.01844I 0
u = −1.271220 − 0.279397I
a = 0.099812 + 1.265720I
b = 0.143232 + 1.205370I
−6.44094 − 3.01844I 0
u = −0.425582 + 0.516359I
a = −0.0262110 − 0.0534149I
b = −0.843186 + 0.383466I
1.176920 − 0.453188I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.425582 − 0.516359I
a = −0.0262110 + 0.0534149I
b = −0.843186 − 0.383466I
1.176920 + 0.453188I 0
u = 0.962930 + 0.919473I
a = 0.274389 + 0.616670I
b = −0.691374 − 0.071551I
−0.566634 − 0.566059I 0
u = 0.962930 − 0.919473I
a = 0.274389 − 0.616670I
b = −0.691374 + 0.071551I
−0.566634 + 0.566059I 0
u = −1.316600 + 0.200552I
a = −0.172358 − 1.051680I
b = −0.024738 − 0.950032I
−6.48344 + 2.73920I 0
u = −1.316600 − 0.200552I
a = −0.172358 + 1.051680I
b = −0.024738 + 0.950032I
−6.48344 − 2.73920I 0
u = −0.647947 + 0.104349I
a = −2.22160 + 1.30527I
b = −0.288992 − 0.048584I
−7.02860 − 1.00487I −8.65082 + 0.I
u = −0.647947 − 0.104349I
a = −2.22160 − 1.30527I
b = −0.288992 + 0.048584I
−7.02860 + 1.00487I −8.65082 + 0.I
u = 1.362340 + 0.039972I
a = 0.710428 − 0.788816I
b = 0.360946 − 0.608288I
−4.23964 + 0.60625I 0
u = 1.362340 − 0.039972I
a = 0.710428 + 0.788816I
b = 0.360946 + 0.608288I
−4.23964 − 0.60625I 0
u = 1.286580 + 0.456843I
a = −0.51359 + 1.51646I
b = −1.136810 + 0.417099I
2.62817 − 7.27240I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.286580 − 0.456843I
a = −0.51359 − 1.51646I
b = −1.136810 − 0.417099I
2.62817 + 7.27240I 0
u = 0.006326 + 1.367020I
a = 0.213986 − 0.016195I
b = −1.090280 − 0.341522I
1.37277 + 2.83274I 0
u = 0.006326 − 1.367020I
a = 0.213986 + 0.016195I
b = −1.090280 + 0.341522I
1.37277 − 2.83274I 0
u = −1.264610 + 0.519690I
a = 0.412066 + 1.321800I
b = 1.064680 + 0.329761I
−0.02567 + 3.62374I 0
u = −1.264610 − 0.519690I
a = 0.412066 − 1.321800I
b = 1.064680 − 0.329761I
−0.02567 − 3.62374I 0
u = −1.301940 + 0.425848I
a = 0.57140 + 1.62346I
b = 1.172350 + 0.462199I
−2.21004 + 10.96610I 0
u = −1.301940 − 0.425848I
a = 0.57140 − 1.62346I
b = 1.172350 − 0.462199I
−2.21004 − 10.96610I 0
u = −1.390730 + 0.028900I
a = −1.034760 + 0.728548I
b = −0.567991 + 0.534796I
−8.98552 + 3.80517I 0
u = −1.390730 − 0.028900I
a = −1.034760 − 0.728548I
b = −0.567991 − 0.534796I
−8.98552 − 3.80517I 0
u = 0.169614 + 0.580134I
a = 0.135000 + 0.405730I
b = 0.323684 + 0.730764I
−3.37544 + 3.14455I 0. − 2.75952I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.169614 − 0.580134I
a = 0.135000 − 0.405730I
b = 0.323684 − 0.730764I
−3.37544 − 3.14455I 0. + 2.75952I
u = 1.147670 + 0.826267I
a = −0.544271 − 0.518128I
b = 0.971943 − 0.370304I
−6.71876 + 2.33578I 0
u = 1.147670 − 0.826267I
a = −0.544271 + 0.518128I
b = 0.971943 + 0.370304I
−6.71876 − 2.33578I 0
u = 1.37236 + 0.35150I
a = −0.372128 − 0.899872I
b = −0.466061 − 0.979607I
−13.52870 − 2.64043I 0
u = 1.37236 − 0.35150I
a = −0.372128 + 0.899872I
b = −0.466061 + 0.979607I
−13.52870 + 2.64043I 0
u = −0.327669 + 0.465605I
a = −0.090913 + 0.299045I
b = −0.520573 + 0.416459I
1.097740 − 0.448289I 7.56061 + 0.86211I
u = −0.327669 − 0.465605I
a = −0.090913 − 0.299045I
b = −0.520573 − 0.416459I
1.097740 + 0.448289I 7.56061 − 0.86211I
u = 0.217811 + 0.503351I
a = 1.98937 + 0.22225I
b = 0.007655 − 0.666268I
−5.32113 − 7.59142I −2.27030 + 5.45199I
u = 0.217811 − 0.503351I
a = 1.98937 − 0.22225I
b = 0.007655 + 0.666268I
−5.32113 + 7.59142I −2.27030 − 5.45199I
u = 0.534917 + 0.111659I
a = 1.37024 + 1.17436I
b = 0.371956 − 0.109893I
−1.30319 − 0.81755I −3.93740 + 0.I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.534917 − 0.111659I
a = 1.37024 − 1.17436I
b = 0.371956 + 0.109893I
−1.30319 + 0.81755I −3.93740 + 0.I
u = −1.46605
a = −1.25189
b = −0.714917
−5.50080 0
u = 1.46924 + 0.01647I
a = 1.344540 + 0.200509I
b = 0.784949 + 0.151616I
−9.75565 + 2.51107I 0
u = 1.46924 − 0.01647I
a = 1.344540 − 0.200509I
b = 0.784949 − 0.151616I
−9.75565 − 2.51107I 0
u = −1.35154 + 0.63268I
a = 0.140220 − 1.220620I
b = −1.172100 − 0.645508I
−11.24380 + 8.54429I 0
u = −1.35154 − 0.63268I
a = 0.140220 + 1.220620I
b = −1.172100 + 0.645508I
−11.24380 − 8.54429I 0
u = 1.37146 + 0.59912I
a = 0.15528 − 1.44573I
b = 1.31967 − 0.74951I
−6.3088 − 18.4151I 0
u = 1.37146 − 0.59912I
a = 0.15528 + 1.44573I
b = 1.31967 + 0.74951I
−6.3088 + 18.4151I 0
u = −1.37506 + 0.60150I
a = −0.170295 − 1.370450I
b = −1.32522 − 0.71079I
−0.9370 + 14.1905I 0
u = −1.37506 − 0.60150I
a = −0.170295 + 1.370450I
b = −1.32522 + 0.71079I
−0.9370 − 14.1905I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.38221 + 0.60964I
a = 0.141536 − 1.252000I
b = 1.30677 − 0.65301I
−2.90339 − 9.46527I 0
u = 1.38221 − 0.60964I
a = 0.141536 + 1.252000I
b = 1.30677 + 0.65301I
−2.90339 + 9.46527I 0
u = −0.303833 + 0.326566I
a = −2.16385 + 1.08914I
b = −0.205595 − 0.493375I
−0.05295 + 4.08714I 2.05773 − 5.91274I
u = −0.303833 − 0.326566I
a = −2.16385 − 1.08914I
b = −0.205595 + 0.493375I
−0.05295 − 4.08714I 2.05773 + 5.91274I
u = 1.43858 + 0.69359I
a = 0.025408 − 0.838958I
b = 1.232540 − 0.464753I
−2.63676 − 7.48274I 0
u = 1.43858 − 0.69359I
a = 0.025408 + 0.838958I
b = 1.232540 + 0.464753I
−2.63676 + 7.48274I 0
u = −1.40195 + 0.91224I
a = 0.174309 − 0.536129I
b = −1.120930 − 0.346375I
−0.67002 + 2.09777I 0
u = −1.40195 − 0.91224I
a = 0.174309 + 0.536129I
b = −1.120930 + 0.346375I
−0.67002 − 2.09777I 0
u = 0.167195 + 0.173273I
a = −2.19168 − 2.23669I
b = 0.800075 + 0.480421I
−2.05496 + 1.47834I 1.30510 − 4.10929I
u = 0.167195 − 0.173273I
a = −2.19168 + 2.23669I
b = 0.800075 − 0.480421I
−2.05496 − 1.47834I 1.30510 + 4.10929I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.80906 + 0.47005I
a = 0.269387 − 0.034383I
b = 0.736611 − 0.244833I
−7.70759 − 5.17392I 0
u = −1.80906 − 0.47005I
a = 0.269387 + 0.034383I
b = 0.736611 + 0.244833I
−7.70759 + 5.17392I 0
u = 2.16118
a = −0.132754
b = −0.690596
−3.05947 0
17
II.
I
u
2
= h3.62 × 10
6
u
24
+ 4.79 × 10
6
u
23
+ · · · + 2.40 × 10
6
b − 9.09 × 10
6
, −5.36 ×
10
6
u
24
+9.99×10
5
u
23
+· · ·+7.20×10
6
a+1.23×10
7
, u
25
−12u
23
+· · ·+4u+3i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
1
=
0.743463u
24
− 0.138708u
23
+ ··· − 3.95111u − 1.70477
−1.50559u
24
− 1.99293u
23
+ ··· + 13.9422u + 3.78756
a
4
=
−u
−u
3
+ u
a
10
=
−1.97850u
24
− 3.55447u
23
+ ··· + 8.37535u + 4.06551
u
24
− 11u
22
+ ··· − 3u − 1
a
5
=
2.39499u
24
+ 2.80642u
23
+ ··· + 0.441927u + 3.23002
1.63613u
24
− 1.67073u
23
+ ··· + 8.36861u + 5.93212
a
12
=
2.24905u
24
+ 1.85422u
23
+ ··· − 17.8933u − 5.49233
−1.50559u
24
− 1.99293u
23
+ ··· + 13.9422u + 3.78756
a
7
=
−0.262519u
24
− 1.50559u
23
+ ··· + 6.96176u + 7.89214
−4.86129u
24
+ 0.428794u
23
+ ··· + 22.6786u + 4.23039
a
2
=
0.743463u
24
+ 0.861292u
23
+ ··· − 8.95111u − 4.70477
−1.50559u
24
− 1.99293u
23
+ ··· + 14.9422u + 3.78756
a
6
=
−0.955872u
24
− 1.91834u
23
+ ··· + 2.86235u + 3.52462
−3.86836u
24
+ 1.01370u
23
+ ··· + 15.8687u − 1.28638
a
11
=
−4.82557u
24
− 2.20743u
23
+ ··· + 19.8011u + 0.576323
−7.47777u
24
+ 3.76531u
23
+ ··· + 14.6517u − 24.6960
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
3951247
2401109
u
24
−
24006734
2401109
u
23
+ ··· +
84724767
2401109
u +
100949946
2401109
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
25
− 9u
24
+ ··· + u − 1
c
2
u
25
− u
24
+ ··· + u − 1
c
3
u
25
− 12u
23
+ ··· + 4u − 3
c
4
u
25
− 4u
23
+ ··· + 3u − 1
c
5
u
25
+ 12u
23
+ ··· + u − 1
c
6
u
25
+ u
24
+ ··· + u + 1
c
7
u
25
+ u
24
+ ··· + u + 1
c
8
u
25
− 12u
23
+ ··· + 4u + 3
c
9
u
25
− 3u
24
+ ··· + u + 1
c
10
, c
11
u
25
+ 12u
23
+ ··· + u + 1
c
12
u
25
− u
24
+ ··· + u − 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
25
− 5y
24
+ ··· + 9y −1
c
2
, c
6
y
25
− 25y
24
+ ··· + 21y −1
c
3
, c
8
y
25
− 24y
24
+ ··· + 136y −9
c
4
y
25
− 8y
24
+ ··· − 9y −1
c
5
, c
10
, c
11
y
25
+ 24y
24
+ ··· − 5y −1
c
7
, c
12
y
25
− 21y
24
+ ··· + 25y −1
c
9
y
25
− 9y
24
+ ··· + 3y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.937496 + 0.392858I
a = −0.44230 + 2.06970I
b = 0.789425 + 0.667067I
−0.41678 + 5.39715I 2.15814 − 11.29693I
u = −0.937496 − 0.392858I
a = −0.44230 − 2.06970I
b = 0.789425 − 0.667067I
−0.41678 − 5.39715I 2.15814 + 11.29693I
u = 0.874412 + 0.359143I
a = 0.89421 + 2.41022I
b = −0.684612 + 0.571270I
−5.64050 − 8.33855I −2.98547 + 11.53909I
u = 0.874412 − 0.359143I
a = 0.89421 − 2.41022I
b = −0.684612 − 0.571270I
−5.64050 + 8.33855I −2.98547 − 11.53909I
u = 1.006320 + 0.338974I
a = −0.13134 + 2.13115I
b = −0.817866 + 0.907400I
−3.39306 − 3.15961I −0.66878 + 5.10373I
u = 1.006320 − 0.338974I
a = −0.13134 − 2.13115I
b = −0.817866 − 0.907400I
−3.39306 + 3.15961I −0.66878 − 5.10373I
u = 0.764058 + 0.400069I
a = 0.335256 + 0.145395I
b = 1.022390 + 0.571736I
−2.63271 + 0.14719I −1.63837 − 0.10427I
u = 0.764058 − 0.400069I
a = 0.335256 − 0.145395I
b = 1.022390 − 0.571736I
−2.63271 − 0.14719I −1.63837 + 0.10427I
u = −0.474882 + 0.655103I
a = −0.121451 − 0.534755I
b = −1.001230 + 0.309003I
0.385377 − 0.899732I 0.60645 + 1.79260I
u = −0.474882 − 0.655103I
a = −0.121451 + 0.534755I
b = −1.001230 − 0.309003I
0.385377 + 0.899732I 0.60645 − 1.79260I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.937406 + 0.821422I
a = 0.494912 + 0.691426I
b = −1.027960 + 0.380956I
−0.03757 − 2.33026I 3.55075 + 4.68808I
u = 0.937406 − 0.821422I
a = 0.494912 − 0.691426I
b = −1.027960 − 0.380956I
−0.03757 + 2.33026I 3.55075 − 4.68808I
u = −1.183110 + 0.443468I
a = 0.297012 + 1.242960I
b = 1.241190 + 0.670906I
−2.11236 + 6.08208I −1.53691 − 6.02430I
u = −1.183110 − 0.443468I
a = 0.297012 − 1.242960I
b = 1.241190 − 0.670906I
−2.11236 − 6.08208I −1.53691 + 6.02430I
u = −0.703027 + 0.066917I
a = −1.68417 + 0.21103I
b = −1.83964 + 0.28918I
0.65427 − 4.02685I 8.54389 + 0.68029I
u = −0.703027 − 0.066917I
a = −1.68417 − 0.21103I
b = −1.83964 − 0.28918I
0.65427 + 4.02685I 8.54389 − 0.68029I
u = −0.517374 + 0.452898I
a = −2.12303 + 0.40519I
b = 0.837483 + 0.264427I
−6.34506 − 0.42346I −0.78604 − 3.15064I
u = −0.517374 − 0.452898I
a = −2.12303 − 0.40519I
b = 0.837483 − 0.264427I
−6.34506 + 0.42346I −0.78604 + 3.15064I
u = 0.687031
a = 1.72945
b = 1.84363
4.59263 13.5210
u = −1.387810 + 0.058687I
a = −1.294900 − 0.364823I
b = −0.503610 + 0.039828I
−10.25260 + 1.98219I −9.52624 + 2.06921I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.387810 − 0.058687I
a = −1.294900 + 0.364823I
b = −0.503610 − 0.039828I
−10.25260 − 1.98219I −9.52624 − 2.06921I
u = 1.41847
a = 1.20240
b = 0.520322
−5.83821 −14.3320
u = 1.58160 + 0.39404I
a = 0.285735 − 0.372076I
b = 0.665236 + 0.135034I
−7.61189 + 4.71214I −1.46737 + 1.25346I
u = 1.58160 − 0.39404I
a = 0.285735 + 0.372076I
b = 0.665236 − 0.135034I
−7.61189 − 4.71214I −1.46737 − 1.25346I
u = −2.02571
a = −0.285037
b = −0.725549
−2.90551 22.3110
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
25
− 9u
24
+ ··· + u − 1)(u
123
− 4u
122
+ ··· + 608612u − 35287)
c
2
(u
25
− u
24
+ ··· + u − 1)(u
123
− 2u
122
+ ··· + 7280u − 1709)
c
3
(u
25
− 12u
23
+ ··· + 4u − 3)(u
123
+ u
122
+ ··· + 853u + 137)
c
4
(u
25
− 4u
23
+ ··· + 3u − 1)(u
123
− u
122
+ ··· + 310818u + 82413)
c
5
(u
25
+ 12u
23
+ ··· + u − 1)(u
123
+ u
122
+ ··· + 48u + 9)
c
6
(u
25
+ u
24
+ ··· + u + 1)(u
123
− 2u
122
+ ··· + 7280u − 1709)
c
7
(u
25
+ u
24
+ ··· + u + 1)(u
123
+ 2u
122
+ ··· + 4u + 1)
c
8
(u
25
− 12u
23
+ ··· + 4u + 3)(u
123
+ u
122
+ ··· + 853u + 137)
c
9
(u
25
− 3u
24
+ ··· + u + 1)(u
123
− 2u
122
+ ··· + 2u − 1)
c
10
, c
11
(u
25
+ 12u
23
+ ··· + u + 1)(u
123
+ u
122
+ ··· + 48u + 9)
c
12
(u
25
− u
24
+ ··· + u − 1)(u
123
+ 2u
122
+ ··· + 4u + 1)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
25
− 5y
24
+ ··· + 9y −1)
· (y
123
− 24y
122
+ ··· + 48933975036y −1245172369)
c
2
, c
6
(y
25
− 25y
24
+ ··· + 21y −1)
· (y
123
− 84y
122
+ ··· + 29345840y −2920681)
c
3
, c
8
(y
25
− 24y
24
+ ··· + 136y −9)
· (y
123
− 87y
122
+ ··· + 642943y −18769)
c
4
(y
25
− 8y
24
+ ··· − 9y −1)
· (y
123
− 31y
122
+ ··· + 104568100794y −6791902569)
c
5
, c
10
, c
11
(y
25
+ 24y
24
+ ··· − 5y −1)(y
123
+ 109y
122
+ ··· + 3186y −81)
c
7
, c
12
(y
25
− 21y
24
+ ··· + 25y −1)(y
123
− 72y
122
+ ··· + 112y −1)
c
9
(y
25
− 9y
24
+ ··· + 3y −1)(y
123
− 8y
122
+ ··· + 122y −1)
25
