12a
1076
(K12a
1076
)
A knot diagram
1
Linearized knot diagam
4 7 10 9 12 11 3 6 1 2 8 5
Solving Sequence
3,7 8,11
12 2 6 9 5 10 4 1
c
7
c
11
c
2
c
6
c
8
c
5
c
10
c
3
c
1
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.51635 × 10
1061
u
177
1.25795 × 10
1062
u
176
+ ··· + 1.40470 × 10
1063
b 8.65454 × 10
1066
,
1.48578 × 10
1069
u
177
+ 3.21858 × 10
1069
u
176
+ ··· + 1.03497 × 10
1070
a + 3.77579 × 10
1073
,
u
178
+ 2u
177
+ ··· + 2168879u + 237673i
I
u
2
= h−3.12220 × 10
39
u
41
9.70960 × 10
39
u
40
+ ··· + 5.62023 × 10
39
b 9.01968 × 10
39
,
9.07781 × 10
39
u
41
6.68667 × 10
39
u
40
+ ··· + 5.62023 × 10
39
a + 1.34444 × 10
41
, u
42
+ u
41
+ ··· 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 220 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−6.52 × 10
1061
u
177
1.26 × 10
1062
u
176
+ · · · + 1.40 × 10
1063
b
8.65 × 10
1066
, 1.49 × 10
1069
u
177
+ 3.22 × 10
1069
u
176
+ · · · + 1.03 × 10
1070
a +
3.78 × 10
1073
, u
178
+ 2u
177
+ · · · + 2168879u + 237673i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
11
=
0.143559u
177
0.310985u
176
+ ··· 8706.70u 3648.23
0.0463895u
177
+ 0.0895526u
176
+ ··· + 45107.3u + 6161.12
a
12
=
0.0399629u
177
0.0548352u
176
+ ··· 139699.u 15481.9
0.0464781u
177
0.137170u
176
+ ··· + 175912.u + 17797.0
a
2
=
u
u
a
6
=
0.0292828u
177
+ 0.154408u
176
+ ··· 245118.u 25864.2
0.0397983u
177
0.178705u
176
+ ··· + 263781.u + 28156.8
a
9
=
0.0216693u
177
+ 0.0288690u
176
+ ··· + 95096.4u + 9916.14
0.0161521u
177
+ 0.0822877u
176
+ ··· 235942.u 24443.3
a
5
=
0.133434u
177
+ 0.388951u
176
+ ··· 345828.u 34551.6
0.0363532u
177
0.123260u
176
+ ··· + 109844.u + 12057.4
a
10
=
0.0356100u
177
0.0596208u
176
+ ··· 90563.5u 10087.6
0.0615594u
177
0.161811u
176
+ ··· + 126964.u + 12600.5
a
4
=
0.115818u
177
+ 0.283079u
176
+ ··· 139607.u 11721.2
0.0477208u
177
0.125972u
176
+ ··· + 67851.1u + 6289.36
a
1
=
0.0872571u
177
0.186760u
176
+ ··· + 124086.u + 10099.2
0.00876483u
177
+ 0.0448885u
176
+ ··· 19193.0u 2288.77
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.125336u
177
+ 0.257783u
176
+ ··· 309492.u 30772.4
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
178
16u
177
+ ··· 605422u + 32771
c
2
, c
7
u
178
+ 2u
177
+ ··· + 2168879u + 237673
c
3
4(4u
178
+ 4u
177
+ ··· + 938639u + 398051)
c
4
u
178
+ 4u
177
+ ··· 416u + 16
c
5
, c
12
u
178
3u
177
+ ··· + 80u + 1
c
6
4(4u
178
24u
177
+ ··· 5.32279 × 10
8
u + 2.88321 × 10
8
)
c
8
4(4u
178
92u
177
+ ··· 82u + 1)
c
9
4(4u
178
+ 36u
177
+ ··· 382176u + 2413368)
c
10
u
178
+ 4u
177
+ ··· 4118858040u + 270945184
c
11
u
178
u
177
+ ··· + 1782837u + 1531156
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
178
+ 32y
177
+ ··· + 157395480066y + 1073938441
c
2
, c
7
y
178
102y
177
+ ··· 2949679011171y + 56488454929
c
3
16(16y
178
+ 440y
177
+ ··· + 1.25117 × 10
13
y + 1.58445 × 10
11
)
c
4
y
178
12y
177
+ ··· + 33728y + 256
c
5
, c
12
y
178
+ 133y
177
+ ··· + 62y + 1
c
6
16(16y
178
+ 1096y
177
+ ··· + 3.29466 × 10
18
y + 8.31289 × 10
16
)
c
8
16(16y
178
+ 88y
177
+ ··· 752y + 1)
c
9
16
· (16y
178
904y
177
+ ··· 314751079538208y + 5824345103424)
c
10
y
178
54y
177
+ ··· 1913910999604112960y + 73411292732793856
c
11
y
178
35y
177
+ ··· 71460060485001y + 2344438696336
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.992066 + 0.124390I
a = 0.63283 3.63308I
b = 0.34212 + 3.18715I
0.249247 0.444738I 0
u = 0.992066 0.124390I
a = 0.63283 + 3.63308I
b = 0.34212 3.18715I
0.249247 + 0.444738I 0
u = 0.951762 + 0.303922I
a = 0.644042 0.552691I
b = 1.68598 0.05086I
0.93011 5.92977I 0
u = 0.951762 0.303922I
a = 0.644042 + 0.552691I
b = 1.68598 + 0.05086I
0.93011 + 5.92977I 0
u = 0.941384 + 0.331508I
a = 0.931740 + 0.118114I
b = 1.91732 + 0.26610I
4.26633 + 11.58410I 0
u = 0.941384 0.331508I
a = 0.931740 0.118114I
b = 1.91732 0.26610I
4.26633 11.58410I 0
u = 0.144472 + 0.976497I
a = 0.337305 0.177126I
b = 0.802291 0.933690I
0.58334 + 6.80390I 0
u = 0.144472 0.976497I
a = 0.337305 + 0.177126I
b = 0.802291 + 0.933690I
0.58334 6.80390I 0
u = 0.764869 + 0.667454I
a = 1.38737 0.41751I
b = 1.27121 1.31239I
3.18610 + 5.10989I 0
u = 0.764869 0.667454I
a = 1.38737 + 0.41751I
b = 1.27121 + 1.31239I
3.18610 5.10989I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.844597 + 0.564609I
a = 0.697997 + 0.138323I
b = 1.169480 0.454082I
5.67242 5.51938I 0
u = 0.844597 0.564609I
a = 0.697997 0.138323I
b = 1.169480 + 0.454082I
5.67242 + 5.51938I 0
u = 0.948425 + 0.253612I
a = 0.57640 1.98012I
b = 0.706136 + 0.403744I
0.06955 4.08946I 0
u = 0.948425 0.253612I
a = 0.57640 + 1.98012I
b = 0.706136 0.403744I
0.06955 + 4.08946I 0
u = 1.010860 + 0.142052I
a = 1.76203 + 2.82034I
b = 1.79676 2.26343I
0.499148 + 0.057032I 0
u = 1.010860 0.142052I
a = 1.76203 2.82034I
b = 1.79676 + 2.26343I
0.499148 0.057032I 0
u = 0.958878 + 0.362118I
a = 0.30751 + 2.53486I
b = 0.738092 0.805989I
4.35015 11.90080I 0
u = 0.958878 0.362118I
a = 0.30751 2.53486I
b = 0.738092 + 0.805989I
4.35015 + 11.90080I 0
u = 0.962702 + 0.366035I
a = 0.446022 0.451866I
b = 1.326000 + 0.418979I
4.81662 3.98534I 0
u = 0.962702 0.366035I
a = 0.446022 + 0.451866I
b = 1.326000 0.418979I
4.81662 + 3.98534I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.998282 + 0.333232I
a = 0.42169 + 2.25993I
b = 0.307168 0.919678I
4.30048 + 3.99901I 0
u = 0.998282 0.333232I
a = 0.42169 2.25993I
b = 0.307168 + 0.919678I
4.30048 3.99901I 0
u = 0.923944 + 0.209596I
a = 0.642333 0.117151I
b = 1.070200 + 0.457354I
3.01826 1.56812I 0
u = 0.923944 0.209596I
a = 0.642333 + 0.117151I
b = 1.070200 0.457354I
3.01826 + 1.56812I 0
u = 0.246482 + 1.028850I
a = 0.221927 0.074361I
b = 0.660009 1.083060I
1.76182 8.94119I 0
u = 0.246482 1.028850I
a = 0.221927 + 0.074361I
b = 0.660009 + 1.083060I
1.76182 + 8.94119I 0
u = 0.919418 + 0.164483I
a = 1.011820 + 0.495778I
b = 1.76923 0.66787I
0.30003 + 1.85304I 0
u = 0.919418 0.164483I
a = 1.011820 0.495778I
b = 1.76923 + 0.66787I
0.30003 1.85304I 0
u = 0.906373 + 0.171500I
a = 1.22542 2.76344I
b = 0.277232 + 0.657619I
3.16479 + 3.31194I 0
u = 0.906373 0.171500I
a = 1.22542 + 2.76344I
b = 0.277232 0.657619I
3.16479 3.31194I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.893114 + 0.188520I
a = 0.83363 + 2.30303I
b = 0.83591 1.21738I
0.279103 0.153407I 0
u = 0.893114 0.188520I
a = 0.83363 2.30303I
b = 0.83591 + 1.21738I
0.279103 + 0.153407I 0
u = 1.086920 + 0.102199I
a = 0.88426 1.32927I
b = 0.373921 + 1.109980I
6.69875 0.68350I 0
u = 1.086920 0.102199I
a = 0.88426 + 1.32927I
b = 0.373921 1.109980I
6.69875 + 0.68350I 0
u = 0.772319 + 0.477625I
a = 0.667584 1.127800I
b = 0.447458 0.272416I
3.86498 2.00649I 0
u = 0.772319 0.477625I
a = 0.667584 + 1.127800I
b = 0.447458 + 0.272416I
3.86498 + 2.00649I 0
u = 0.853439 + 0.294497I
a = 0.03046 2.68974I
b = 0.844719 + 0.684577I
0.37963 + 5.26113I 0
u = 0.853439 0.294497I
a = 0.03046 + 2.68974I
b = 0.844719 0.684577I
0.37963 5.26113I 0
u = 0.238321 + 1.071310I
a = 0.210554 + 0.514909I
b = 0.633979 + 0.298378I
5.36564 5.11807I 0
u = 0.238321 1.071310I
a = 0.210554 0.514909I
b = 0.633979 0.298378I
5.36564 + 5.11807I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.852253 + 0.284723I
a = 0.06558 1.98271I
b = 0.177684 + 0.442031I
1.04567 3.08109I 0
u = 0.852253 0.284723I
a = 0.06558 + 1.98271I
b = 0.177684 0.442031I
1.04567 + 3.08109I 0
u = 1.038730 + 0.378712I
a = 0.54269 1.86180I
b = 0.42909 + 1.69485I
3.09094 + 2.07590I 0
u = 1.038730 0.378712I
a = 0.54269 + 1.86180I
b = 0.42909 1.69485I
3.09094 2.07590I 0
u = 0.907504 + 0.636818I
a = 0.403607 + 1.067780I
b = 0.509626 0.072616I
4.33576 + 4.93505I 0
u = 0.907504 0.636818I
a = 0.403607 1.067780I
b = 0.509626 + 0.072616I
4.33576 4.93505I 0
u = 0.429869 + 1.027370I
a = 0.082714 0.196731I
b = 0.097270 + 0.379378I
1.12509 + 2.76923I 0
u = 0.429869 1.027370I
a = 0.082714 + 0.196731I
b = 0.097270 0.379378I
1.12509 2.76923I 0
u = 1.051490 + 0.394008I
a = 1.064240 + 0.479016I
b = 0.475919 0.792781I
4.96440 + 2.00153I 0
u = 1.051490 0.394008I
a = 1.064240 0.479016I
b = 0.475919 + 0.792781I
4.96440 2.00153I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.973166 + 0.569240I
a = 0.54569 + 1.72414I
b = 1.07132 1.54059I
2.48803 0.24024I 0
u = 0.973166 0.569240I
a = 0.54569 1.72414I
b = 1.07132 + 1.54059I
2.48803 + 0.24024I 0
u = 0.657614 + 0.558091I
a = 0.23361 + 1.75163I
b = 0.652192 0.786852I
6.17320 + 1.09241I 0
u = 0.657614 0.558091I
a = 0.23361 1.75163I
b = 0.652192 + 0.786852I
6.17320 1.09241I 0
u = 0.842512 + 0.175852I
a = 0.33518 + 1.45955I
b = 1.60015 0.42872I
0.63643 + 2.23657I 0
u = 0.842512 0.175852I
a = 0.33518 1.45955I
b = 1.60015 + 0.42872I
0.63643 2.23657I 0
u = 0.775834 + 0.358846I
a = 0.249485 + 0.663032I
b = 1.346820 + 0.417826I
0.23027 2.28578I 0
u = 0.775834 0.358846I
a = 0.249485 0.663032I
b = 1.346820 0.417826I
0.23027 + 2.28578I 0
u = 0.843318 + 0.053176I
a = 0.17336 2.60537I
b = 0.254398 + 0.495897I
0.85587 3.32407I 0
u = 0.843318 0.053176I
a = 0.17336 + 2.60537I
b = 0.254398 0.495897I
0.85587 + 3.32407I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.181740 + 1.142040I
a = 0.113914 0.097963I
b = 0.430165 0.687731I
1.68087 + 4.09715I 0
u = 0.181740 1.142040I
a = 0.113914 + 0.097963I
b = 0.430165 + 0.687731I
1.68087 4.09715I 0
u = 0.293993 + 0.776463I
a = 0.494108 + 0.422731I
b = 0.727460 + 1.066370I
2.64356 2.13931I 0
u = 0.293993 0.776463I
a = 0.494108 0.422731I
b = 0.727460 1.066370I
2.64356 + 2.13931I 0
u = 1.119540 + 0.348508I
a = 0.953059 0.917562I
b = 0.178718 + 1.177460I
6.83838 1.00109I 0
u = 1.119540 0.348508I
a = 0.953059 + 0.917562I
b = 0.178718 1.177460I
6.83838 + 1.00109I 0
u = 0.316539 + 1.129880I
a = 0.296503 + 0.327216I
b = 0.616398 0.869509I
5.94640 6.09820I 0
u = 0.316539 1.129880I
a = 0.296503 0.327216I
b = 0.616398 + 0.869509I
5.94640 + 6.09820I 0
u = 0.548030 + 0.614702I
a = 0.0943050 0.0184205I
b = 1.108010 + 0.240709I
5.25827 0.13528I 0
u = 0.548030 0.614702I
a = 0.0943050 + 0.0184205I
b = 1.108010 0.240709I
5.25827 + 0.13528I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.170713 + 0.800024I
a = 0.375182 0.444478I
b = 0.397389 0.772112I
2.67912 + 2.52906I 0
u = 0.170713 0.800024I
a = 0.375182 + 0.444478I
b = 0.397389 + 0.772112I
2.67912 2.52906I 0
u = 0.870477 + 0.812039I
a = 1.055090 + 0.554271I
b = 0.14046 1.59803I
3.37542 3.03142I 0
u = 0.870477 0.812039I
a = 1.055090 0.554271I
b = 0.14046 + 1.59803I
3.37542 + 3.03142I 0
u = 1.117310 + 0.411318I
a = 0.85356 1.13764I
b = 0.091685 + 1.385490I
3.35582 + 0.82505I 0
u = 1.117310 0.411318I
a = 0.85356 + 1.13764I
b = 0.091685 1.385490I
3.35582 0.82505I 0
u = 1.180150 + 0.184098I
a = 1.05967 + 1.14293I
b = 0.089854 0.506560I
0.56645 + 2.67316I 0
u = 1.180150 0.184098I
a = 1.05967 1.14293I
b = 0.089854 + 0.506560I
0.56645 2.67316I 0
u = 0.293054 + 1.167860I
a = 0.374049 0.058859I
b = 0.690678 + 1.086860I
3.6579 + 14.3843I 0
u = 0.293054 1.167860I
a = 0.374049 + 0.058859I
b = 0.690678 1.086860I
3.6579 14.3843I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.316856 + 0.723613I
a = 1.270620 0.534417I
b = 0.339015 + 0.985907I
0.97954 2.75769I 0
u = 0.316856 0.723613I
a = 1.270620 + 0.534417I
b = 0.339015 0.985907I
0.97954 + 2.75769I 0
u = 0.679241 + 0.397556I
a = 0.85061 2.46054I
b = 0.974226 + 0.659872I
5.03312 8.43363I 0
u = 0.679241 0.397556I
a = 0.85061 + 2.46054I
b = 0.974226 0.659872I
5.03312 + 8.43363I 0
u = 0.633352 + 1.041090I
a = 0.415317 0.101570I
b = 0.464425 0.484680I
5.72391 1.32214I 0
u = 0.633352 1.041090I
a = 0.415317 + 0.101570I
b = 0.464425 + 0.484680I
5.72391 + 1.32214I 0
u = 0.197956 + 1.211950I
a = 0.273083 + 0.422005I
b = 0.160174 0.120393I
4.84625 5.62322I 0
u = 0.197956 1.211950I
a = 0.273083 0.422005I
b = 0.160174 + 0.120393I
4.84625 + 5.62322I 0
u = 0.126936 + 0.755082I
a = 0.194448 0.096238I
b = 0.699847 + 0.569804I
1.26849 + 1.70352I 0
u = 0.126936 0.755082I
a = 0.194448 + 0.096238I
b = 0.699847 0.569804I
1.26849 1.70352I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.626451 + 0.429735I
a = 0.0222997 0.0245084I
b = 1.30983 0.60491I
5.34170 + 8.53462I 0
u = 0.626451 0.429735I
a = 0.0222997 + 0.0245084I
b = 1.30983 + 0.60491I
5.34170 8.53462I 0
u = 1.134630 + 0.506165I
a = 0.42743 1.68732I
b = 1.15374 + 1.31124I
2.65056 6.98031I 0
u = 1.134630 0.506165I
a = 0.42743 + 1.68732I
b = 1.15374 1.31124I
2.65056 + 6.98031I 0
u = 0.221336 + 1.228940I
a = 0.365100 + 0.499759I
b = 0.045519 1.019030I
1.96796 + 6.42419I 0
u = 0.221336 1.228940I
a = 0.365100 0.499759I
b = 0.045519 + 1.019030I
1.96796 6.42419I 0
u = 0.582525 + 0.471611I
a = 0.13021 2.13301I
b = 0.435923 + 0.694935I
5.88598 + 0.51406I 0
u = 0.582525 0.471611I
a = 0.13021 + 2.13301I
b = 0.435923 0.694935I
5.88598 0.51406I 0
u = 1.206720 + 0.357422I
a = 0.746857 1.154740I
b = 0.579182 + 0.926785I
4.87028 5.07993I 0
u = 1.206720 0.357422I
a = 0.746857 + 1.154740I
b = 0.579182 0.926785I
4.87028 + 5.07993I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.283058 + 1.229960I
a = 0.235189 + 0.124909I
b = 0.393444 + 0.659046I
2.82697 6.04884I 0
u = 0.283058 1.229960I
a = 0.235189 0.124909I
b = 0.393444 0.659046I
2.82697 + 6.04884I 0
u = 0.657861 + 0.330814I
a = 0.846774 0.360459I
b = 0.548575 + 0.242477I
1.19127 + 0.97093I 0
u = 0.657861 0.330814I
a = 0.846774 + 0.360459I
b = 0.548575 0.242477I
1.19127 0.97093I 0
u = 1.167140 + 0.565782I
a = 0.43603 1.73496I
b = 0.93392 + 1.64537I
5.22086 + 7.22345I 0
u = 1.167140 0.565782I
a = 0.43603 + 1.73496I
b = 0.93392 1.64537I
5.22086 7.22345I 0
u = 1.200670 + 0.491325I
a = 0.26022 1.64116I
b = 0.852565 + 1.098650I
1.92389 6.34357I 0
u = 1.200670 0.491325I
a = 0.26022 + 1.64116I
b = 0.852565 1.098650I
1.92389 + 6.34357I 0
u = 1.245310 + 0.373200I
a = 0.977596 0.851469I
b = 0.397960 + 0.671146I
5.38085 + 6.47645I 0
u = 1.245310 0.373200I
a = 0.977596 + 0.851469I
b = 0.397960 0.671146I
5.38085 6.47645I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.291780 + 0.168080I
a = 1.091320 0.692244I
b = 1.53382 + 0.77309I
0.674591 + 0.780455I 0
u = 1.291780 0.168080I
a = 1.091320 + 0.692244I
b = 1.53382 0.77309I
0.674591 0.780455I 0
u = 1.305850 + 0.061233I
a = 0.31674 + 1.43670I
b = 0.499354 1.144520I
3.92251 + 3.48447I 0
u = 1.305850 0.061233I
a = 0.31674 1.43670I
b = 0.499354 + 1.144520I
3.92251 3.48447I 0
u = 1.123700 + 0.674982I
a = 0.215814 + 0.976341I
b = 0.684718 0.984670I
3.96186 4.90193I 0
u = 1.123700 0.674982I
a = 0.215814 0.976341I
b = 0.684718 + 0.984670I
3.96186 + 4.90193I 0
u = 1.256750 + 0.395790I
a = 0.02162 + 1.67322I
b = 0.70124 1.55626I
6.92386 6.68059I 0
u = 1.256750 0.395790I
a = 0.02162 1.67322I
b = 0.70124 + 1.55626I
6.92386 + 6.68059I 0
u = 0.565709 + 0.359661I
a = 0.186736 + 0.799368I
b = 1.052790 0.572471I
5.57284 0.94798I 0
u = 0.565709 0.359661I
a = 0.186736 0.799368I
b = 1.052790 + 0.572471I
5.57284 + 0.94798I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.582817 + 0.312591I
a = 0.73182 + 2.36882I
b = 1.132540 0.184172I
0.17684 + 3.11359I 0
u = 0.582817 0.312591I
a = 0.73182 2.36882I
b = 1.132540 + 0.184172I
0.17684 3.11359I 0
u = 0.253804 + 1.319740I
a = 0.277689 0.213306I
b = 0.460895 + 0.909333I
5.36469 4.31576I 0
u = 0.253804 1.319740I
a = 0.277689 + 0.213306I
b = 0.460895 0.909333I
5.36469 + 4.31576I 0
u = 0.176739 + 0.609292I
a = 0.478810 + 0.851063I
b = 0.614341 + 0.812358I
0.04368 + 2.58447I 0
u = 0.176739 0.609292I
a = 0.478810 0.851063I
b = 0.614341 0.812358I
0.04368 2.58447I 0
u = 1.281600 + 0.472941I
a = 0.530255 1.095740I
b = 0.231119 + 0.842902I
2.04173 + 2.74581I 0
u = 1.281600 0.472941I
a = 0.530255 + 1.095740I
b = 0.231119 0.842902I
2.04173 2.74581I 0
u = 1.263760 + 0.558138I
a = 0.09888 + 1.68890I
b = 1.04488 1.48862I
2.84900 12.31260I 0
u = 1.263760 0.558138I
a = 0.09888 1.68890I
b = 1.04488 + 1.48862I
2.84900 + 12.31260I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.166333 + 0.588622I
a = 1.071340 + 0.115868I
b = 0.124880 + 0.873076I
1.00374 + 1.61284I 0
u = 0.166333 0.588622I
a = 1.071340 0.115868I
b = 0.124880 0.873076I
1.00374 1.61284I 0
u = 0.540140 + 0.285066I
a = 0.436021 0.194406I
b = 0.919783 + 0.103673I
1.79405 + 0.11705I 0
u = 0.540140 0.285066I
a = 0.436021 + 0.194406I
b = 0.919783 0.103673I
1.79405 0.11705I 0
u = 1.341970 + 0.365025I
a = 0.691531 + 0.502081I
b = 0.074773 0.757888I
4.24596 2.08932I 0
u = 1.341970 0.365025I
a = 0.691531 0.502081I
b = 0.074773 + 0.757888I
4.24596 + 2.08932I 0
u = 1.361410 + 0.291926I
a = 0.014410 + 1.060550I
b = 0.585731 1.011550I
4.07089 + 0.81130I 0
u = 1.361410 0.291926I
a = 0.014410 1.060550I
b = 0.585731 + 1.011550I
4.07089 0.81130I 0
u = 1.368930 + 0.260398I
a = 0.596047 + 0.990948I
b = 0.067578 1.067370I
7.36700 + 4.49431I 0
u = 1.368930 0.260398I
a = 0.596047 0.990948I
b = 0.067578 + 1.067370I
7.36700 4.49431I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.257180 + 0.608930I
a = 0.37722 + 1.58954I
b = 0.91115 1.47058I
4.9036 + 14.8208I 0
u = 1.257180 0.608930I
a = 0.37722 1.58954I
b = 0.91115 + 1.47058I
4.9036 14.8208I 0
u = 1.268080 + 0.602078I
a = 0.143273 1.039010I
b = 1.13474 + 0.96550I
2.11410 + 11.06540I 0
u = 1.268080 0.602078I
a = 0.143273 + 1.039010I
b = 1.13474 0.96550I
2.11410 11.06540I 0
u = 1.261680 + 0.631085I
a = 0.26840 + 1.61104I
b = 0.72573 1.29863I
2.88964 + 12.30580I 0
u = 1.261680 0.631085I
a = 0.26840 1.61104I
b = 0.72573 + 1.29863I
2.88964 12.30580I 0
u = 1.13233 + 0.86296I
a = 0.462940 0.528770I
b = 0.417200 + 1.058860I
0.13177 3.61101I 0
u = 1.13233 0.86296I
a = 0.462940 + 0.528770I
b = 0.417200 1.058860I
0.13177 + 3.61101I 0
u = 1.36205 + 0.41824I
a = 0.17345 1.51094I
b = 0.83086 + 1.43967I
2.49783 + 11.28010I 0
u = 1.36205 0.41824I
a = 0.17345 + 1.51094I
b = 0.83086 1.43967I
2.49783 11.28010I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.23012 + 0.72678I
a = 0.499559 1.209410I
b = 0.197879 + 1.261400I
2.56249 + 3.35739I 0
u = 1.23012 0.72678I
a = 0.499559 + 1.209410I
b = 0.197879 1.261400I
2.56249 3.35739I 0
u = 1.36127 + 0.44511I
a = 0.664678 + 1.172870I
b = 0.456148 0.955991I
3.13138 11.83270I 0
u = 1.36127 0.44511I
a = 0.664678 1.172870I
b = 0.456148 + 0.955991I
3.13138 + 11.83270I 0
u = 1.31195 + 0.59479I
a = 0.178632 + 1.271450I
b = 0.85637 1.17308I
1.92945 10.19790I 0
u = 1.31195 0.59479I
a = 0.178632 1.271450I
b = 0.85637 + 1.17308I
1.92945 + 10.19790I 0
u = 1.30278 + 0.63648I
a = 0.416515 + 0.512693I
b = 0.461519 0.758326I
5.40110 + 2.90863I 0
u = 1.30278 0.63648I
a = 0.416515 0.512693I
b = 0.461519 + 0.758326I
5.40110 2.90863I 0
u = 1.29735 + 0.65738I
a = 0.27605 1.57970I
b = 0.91277 + 1.50118I
0.4471 20.8429I 0
u = 1.29735 0.65738I
a = 0.27605 + 1.57970I
b = 0.91277 1.50118I
0.4471 + 20.8429I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.16326 + 0.89742I
a = 0.551601 + 1.258840I
b = 0.13362 1.42873I
1.43348 3.75983I 0
u = 1.16326 0.89742I
a = 0.551601 1.258840I
b = 0.13362 + 1.42873I
1.43348 + 3.75983I 0
u = 1.48351 + 0.15772I
a = 0.547091 0.858642I
b = 0.090189 + 0.891734I
3.00661 9.46017I 0
u = 1.48351 0.15772I
a = 0.547091 + 0.858642I
b = 0.090189 0.891734I
3.00661 + 9.46017I 0
u = 1.35847 + 0.67164I
a = 0.23786 1.40556I
b = 0.74118 + 1.33379I
1.75223 + 11.22300I 0
u = 1.35847 0.67164I
a = 0.23786 + 1.40556I
b = 0.74118 1.33379I
1.75223 11.22300I 0
u = 1.54334 + 0.19777I
a = 0.313887 0.921850I
b = 0.297957 + 0.738807I
1.65802 1.48864I 0
u = 1.54334 0.19777I
a = 0.313887 + 0.921850I
b = 0.297957 0.738807I
1.65802 + 1.48864I 0
u = 1.40853 + 0.66770I
a = 0.228864 1.337370I
b = 0.195328 + 1.225050I
3.30186 3.35392I 0
u = 1.40853 0.66770I
a = 0.228864 + 1.337370I
b = 0.195328 1.225050I
3.30186 + 3.35392I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.087113 + 0.412462I
a = 1.084410 0.845425I
b = 1.112940 + 0.287127I
2.29927 + 1.72407I 2.87770 0.40483I
u = 0.087113 0.412462I
a = 1.084410 + 0.845425I
b = 1.112940 0.287127I
2.29927 1.72407I 2.87770 + 0.40483I
u = 1.56736 + 0.41953I
a = 0.311998 + 1.268370I
b = 0.239231 1.084570I
2.90899 + 0.55522I 0
u = 1.56736 0.41953I
a = 0.311998 1.268370I
b = 0.239231 + 1.084570I
2.90899 0.55522I 0
u = 1.59388 + 0.39612I
a = 0.145546 0.604297I
b = 0.523839 + 0.604047I
1.92049 1.15988I 0
u = 1.59388 0.39612I
a = 0.145546 + 0.604297I
b = 0.523839 0.604047I
1.92049 + 1.15988I 0
u = 0.342875 + 0.013845I
a = 2.24342 + 0.48732I
b = 0.249623 + 0.685391I
1.15186 + 3.27411I 3.06724 2.25669I
u = 0.342875 0.013845I
a = 2.24342 0.48732I
b = 0.249623 0.685391I
1.15186 3.27411I 3.06724 + 2.25669I
22
II.
I
u
2
= h−3.12×10
39
u
41
9.71×10
39
u
40
+· · ·+5.62×10
39
b9.02×10
39
, 9.08×
10
39
u
41
6.69×10
39
u
40
+· · ·+5.62×10
39
a+1.34×10
41
, u
42
+u
41
+· · ·3u+1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
11
=
1.61520u
41
+ 1.18975u
40
+ ··· 0.0740124u 23.9215
0.555529u
41
+ 1.72762u
40
+ ··· 2.98029u + 1.60486
a
12
=
5.50568u
41
+ 5.91107u
40
+ ··· + 5.79784u 25.9518
0.209389u
41
+ 1.31146u
40
+ ··· 1.58236u + 2.43571
a
2
=
u
u
a
6
=
50.8551u
41
+ 83.4086u
40
+ ··· + 108.578u 95.3650
17.1298u
41
29.7198u
40
+ ··· 49.5381u + 25.4088
a
9
=
53.2736u
41
85.4767u
40
+ ··· 126.556u + 82.7345
17.8702u
41
+ 30.8244u
40
+ ··· + 51.7705u 17.3977
a
5
=
11.5895u
41
+ 20.4612u
40
+ ··· + 35.6834u + 0.980313
3.01478u
41
+ 3.30092u
40
+ ··· 2.85750u 20.0688
a
10
=
4.66368u
41
+ 4.69135u
40
+ ··· 0.143183u 23.1748
2.49295u
41
1.77398u
40
+ ··· 2.91112u + 0.858225
a
4
=
38.8554u
41
+ 59.3436u
40
+ ··· + 56.8908u 74.1945
21.8069u
41
33.2716u
40
+ ··· 38.3343u + 32.8957
a
1
=
17.9014u
41
25.4714u
40
+ ··· 21.1845u + 47.4250
1.22267u
41
1.48382u
40
+ ··· 18.8135u + 8.91055
(ii) Obstruction class = 1
(iii) Cusp Shapes = 16.8769u
41
17.1155u
40
+ ··· + 80.7442u + 53.3077
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
42
3u
41
+ ··· + 2u + 1
c
2
u
42
u
41
+ ··· + 3u + 1
c
3
4(4u
42
32u
41
+ ··· + 3u + 7)
c
4
u
42
+ u
41
+ ··· 4u + 8
c
5
u
42
+ 16u
40
+ ··· 28u + 1
c
6
4(4u
42
+ 20u
41
+ ··· + 90u + 27)
c
7
u
42
+ u
41
+ ··· 3u + 1
c
8
4(4u
42
8u
41
+ ··· 4u + 1)
c
9
4(4u
42
16u
41
+ ··· 2u + 1)
c
10
u
42
5u
41
+ ··· 4u + 8
c
11
u
42
4u
41
+ ··· + 11u + 7
c
12
u
42
+ 16u
40
+ ··· + 28u + 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
42
+ 7y
41
+ ··· + 18y + 1
c
2
, c
7
y
42
23y
41
+ ··· 31y + 1
c
3
16(16y
42
344y
41
+ ··· 23y + 49)
c
4
y
42
9y
41
+ ··· 128y + 64
c
5
, c
12
y
42
+ 32y
41
+ ··· 374y + 1
c
6
16(16y
42
200y
41
+ ··· 1782y + 729)
c
8
16(16y
42
440y
41
+ ··· + 8y + 1)
c
9
16(16y
42
+ 168y
41
+ ··· + 30y + 1)
c
10
y
42
3y
41
+ ··· + 640y + 64
c
11
y
42
8y
41
+ ··· + 509y + 49
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.208551 + 0.980749I
a = 0.331107 0.134392I
b = 0.270728 + 0.464096I
1.13423 + 3.27786I 0.28175 8.90573I
u = 0.208551 0.980749I
a = 0.331107 + 0.134392I
b = 0.270728 0.464096I
1.13423 3.27786I 0.28175 + 8.90573I
u = 0.621731 + 0.747909I
a = 1.105130 0.478816I
b = 0.851485 0.858094I
2.78722 4.19163I 1.24690 + 4.22241I
u = 0.621731 0.747909I
a = 1.105130 + 0.478816I
b = 0.851485 + 0.858094I
2.78722 + 4.19163I 1.24690 4.22241I
u = 1.024010 + 0.175007I
a = 1.17868 + 1.01188I
b = 0.373872 1.049150I
5.58699 0.72514I 2.17295 0.73273I
u = 1.024010 0.175007I
a = 1.17868 1.01188I
b = 0.373872 + 1.049150I
5.58699 + 0.72514I 2.17295 + 0.73273I
u = 0.609917 + 0.700692I
a = 0.262798 0.168219I
b = 0.502592 0.902925I
2.22582 + 4.58276I 0.37324 5.02846I
u = 0.609917 0.700692I
a = 0.262798 + 0.168219I
b = 0.502592 + 0.902925I
2.22582 4.58276I 0.37324 + 5.02846I
u = 0.905505 + 0.189953I
a = 0.49328 2.49648I
b = 0.345773 + 0.414757I
0.94382 + 3.94252I 3.21770 12.03709I
u = 0.905505 0.189953I
a = 0.49328 + 2.49648I
b = 0.345773 0.414757I
0.94382 3.94252I 3.21770 + 12.03709I
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.834088 + 0.700622I
a = 0.146508 + 0.775837I
b = 0.366795 0.247192I
6.14512 2.71847I 8.12422 + 2.94471I
u = 0.834088 0.700622I
a = 0.146508 0.775837I
b = 0.366795 + 0.247192I
6.14512 + 2.71847I 8.12422 2.94471I
u = 1.036510 + 0.336870I
a = 0.89434 1.46030I
b = 0.16219 + 1.52601I
3.49285 + 1.34718I 9.57551 2.82282I
u = 1.036510 0.336870I
a = 0.89434 + 1.46030I
b = 0.16219 1.52601I
3.49285 1.34718I 9.57551 + 2.82282I
u = 1.116440 + 0.125543I
a = 2.67138 + 1.56517I
b = 2.95044 1.23313I
0.369866 + 0.223836I 12.84475 2.38819I
u = 1.116440 0.125543I
a = 2.67138 1.56517I
b = 2.95044 + 1.23313I
0.369866 0.223836I 12.84475 + 2.38819I
u = 0.835256 + 0.255507I
a = 0.264747 + 1.129720I
b = 1.294200 0.150987I
0.99646 1.78569I 5.15129 2.42788I
u = 0.835256 0.255507I
a = 0.264747 1.129720I
b = 1.294200 + 0.150987I
0.99646 + 1.78569I 5.15129 + 2.42788I
u = 0.313619 + 0.693229I
a = 1.037810 + 0.170571I
b = 0.580120 + 0.130149I
5.77877 2.43116I 5.09011 + 3.76700I
u = 0.313619 0.693229I
a = 1.037810 0.170571I
b = 0.580120 0.130149I
5.77877 + 2.43116I 5.09011 3.76700I
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.144520 + 0.476956I
a = 0.26779 1.67408I
b = 1.18912 + 1.15539I
2.44366 7.17417I 3.3751 + 19.1980I
u = 1.144520 0.476956I
a = 0.26779 + 1.67408I
b = 1.18912 1.15539I
2.44366 + 7.17417I 3.3751 19.1980I
u = 1.188650 + 0.584797I
a = 0.546788 0.503969I
b = 0.482387 + 0.791507I
5.15161 + 2.92373I 0
u = 1.188650 0.584797I
a = 0.546788 + 0.503969I
b = 0.482387 0.791507I
5.15161 2.92373I 0
u = 0.620232 + 0.222877I
a = 0.57800 2.30339I
b = 0.632971 0.145072I
4.00411 2.91005I 8.76183 + 6.69107I
u = 0.620232 0.222877I
a = 0.57800 + 2.30339I
b = 0.632971 + 0.145072I
4.00411 + 2.91005I 8.76183 6.69107I
u = 0.654153 + 0.058044I
a = 1.48629 1.50369I
b = 1.42944 + 0.60088I
0.399481 + 1.242960I 2.79433 + 0.39423I
u = 0.654153 0.058044I
a = 1.48629 + 1.50369I
b = 1.42944 0.60088I
0.399481 1.242960I 2.79433 0.39423I
u = 0.531322 + 0.303237I
a = 0.61387 + 2.31392I
b = 1.339940 + 0.259438I
0.03181 + 3.54373I 4.5106 14.3768I
u = 0.531322 0.303237I
a = 0.61387 2.31392I
b = 1.339940 0.259438I
0.03181 3.54373I 4.5106 + 14.3768I
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.01491 + 1.41560I
a = 0.141602 + 0.165991I
b = 0.309581 0.694632I
4.42111 6.18378I 0
u = 0.01491 1.41560I
a = 0.141602 0.165991I
b = 0.309581 + 0.694632I
4.42111 + 6.18378I 0
u = 1.37604 + 0.49945I
a = 0.030881 + 1.374680I
b = 0.91128 1.11107I
0.53597 + 12.42850I 0
u = 1.37604 0.49945I
a = 0.030881 1.374680I
b = 0.91128 + 1.11107I
0.53597 12.42850I 0
u = 1.42597 + 0.33897I
a = 0.353974 1.268380I
b = 0.212103 + 1.089610I
3.02192 + 1.98097I 0
u = 1.42597 0.33897I
a = 0.353974 + 1.268380I
b = 0.212103 1.089610I
3.02192 1.98097I 0
u = 1.29656 + 0.83536I
a = 0.411586 1.274340I
b = 0.181660 + 1.271200I
3.20817 3.94419I 0
u = 1.29656 0.83536I
a = 0.411586 + 1.274340I
b = 0.181660 1.271200I
3.20817 + 3.94419I 0
u = 0.382652 + 0.065485I
a = 2.13061 + 2.67486I
b = 1.226990 + 0.081598I
4.84434 + 9.87435I 1.48037 7.78471I
u = 0.382652 0.065485I
a = 2.13061 2.67486I
b = 1.226990 0.081598I
4.84434 9.87435I 1.48037 + 7.78471I
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.60577 + 0.32274I
a = 0.068146 + 0.856756I
b = 0.494542 0.806555I
1.61296 0.67598I 0
u = 1.60577 0.32274I
a = 0.068146 0.856756I
b = 0.494542 + 0.806555I
1.61296 + 0.67598I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
42
3u
41
+ ··· + 2u + 1)(u
178
16u
177
+ ··· 605422u + 32771)
c
2
(u
42
u
41
+ ··· + 3u + 1)(u
178
+ 2u
177
+ ··· + 2168879u + 237673)
c
3
16(4u
42
32u
41
+ ··· + 3u + 7)
· (4u
178
+ 4u
177
+ ··· + 938639u + 398051)
c
4
(u
42
+ u
41
+ ··· 4u + 8)(u
178
+ 4u
177
+ ··· 416u + 16)
c
5
(u
42
+ 16u
40
+ ··· 28u + 1)(u
178
3u
177
+ ··· + 80u + 1)
c
6
16(4u
42
+ 20u
41
+ ··· + 90u + 27)
· (4u
178
24u
177
+ ··· 532279328u + 288320824)
c
7
(u
42
+ u
41
+ ··· 3u + 1)(u
178
+ 2u
177
+ ··· + 2168879u + 237673)
c
8
16(4u
42
8u
41
+ ··· 4u + 1)(4u
178
92u
177
+ ··· 82u + 1)
c
9
16(4u
42
16u
41
+ ··· 2u + 1)
· (4u
178
+ 36u
177
+ ··· 382176u + 2413368)
c
10
(u
42
5u
41
+ ··· 4u + 8)
· (u
178
+ 4u
177
+ ··· 4118858040u + 270945184)
c
11
(u
42
4u
41
+ ··· + 11u + 7)(u
178
u
177
+ ··· + 1782837u + 1531156)
c
12
(u
42
+ 16u
40
+ ··· + 28u + 1)(u
178
3u
177
+ ··· + 80u + 1)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
42
+ 7y
41
+ ··· + 18y + 1)
· (y
178
+ 32y
177
+ ··· + 157395480066y + 1073938441)
c
2
, c
7
(y
42
23y
41
+ ··· 31y + 1)
· (y
178
102y
177
+ ··· 2949679011171y + 56488454929)
c
3
256(16y
42
344y
41
+ ··· 23y + 49)
· (16y
178
+ 440y
177
+ ··· + 12511678076521y + 158444598601)
c
4
(y
42
9y
41
+ ··· 128y + 64)(y
178
12y
177
+ ··· + 33728y + 256)
c
5
, c
12
(y
42
+ 32y
41
+ ··· 374y + 1)(y
178
+ 133y
177
+ ··· + 62y + 1)
c
6
256(16y
42
200y
41
+ ··· 1782y + 729)
· (16y
178
+ 1096y
177
+ ··· + 3.29 × 10
18
y + 8.31 × 10
16
)
c
8
256(16y
42
440y
41
+ ··· + 8y + 1)(16y
178
+ 88y
177
+ ··· 752y + 1)
c
9
256(16y
42
+ 168y
41
+ ··· + 30y + 1)
· (16y
178
904y
177
+ ··· 314751079538208y + 5824345103424)
c
10
(y
42
3y
41
+ ··· + 640y + 64)
· (y
178
54y
177
+ ··· 1913910999604112960y + 73411292732793856)
c
11
(y
42
8y
41
+ ··· + 509y + 49)
· (y
178
35y
177
+ ··· 71460060485001y + 2344438696336)
34