12a
1065
(K12a
1065
)
A knot diagram
1
Linearized knot diagam
4 7 9 1 8 3 12 11 2 5 6 10
Solving Sequence
3,6 7,12
8 2 5 11 9 4 1 10
c
6
c
7
c
2
c
5
c
11
c
8
c
3
c
1
c
10
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h6.60026 × 10
1371
u
205
+ 1.40844 × 10
1372
u
204
+ ··· + 4.43512 × 10
1372
b − 7.21056 × 10
1376
,
1.27492 × 10
1377
u
205
+ 4.66649 × 10
1376
u
204
+ ··· + 1.02057 × 10
1377
a − 1.52758 × 10
1381
,
u
206
+ 50u
204
+ ··· + 14240u − 23011i
I
u
2
= h−2.24645 × 10
57
u
55
+ 3.87827 × 10
56
u
54
+ ··· + 9.69748 × 10
54
b + 6.73301 × 10
57
,
− 4.34769 × 10
57
u
55
+ 9.99420 × 10
57
u
54
+ ··· + 9.69748 × 10
54
a − 3.76270 × 10
58
, u
56
− u
55
+ ··· + u − 1i
* 2 irreducible components of dim
C
= 0, with total 262 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
= h6.60 × 10
1371
u
205
+ 1.41 × 10
1372
u
204
+ · · · + 4.44 × 10
1372
b − 7.21 ×
10
1376
, 1.27 × 10
1377
u
205
+ 4.67 × 10
1376
u
204
+ · · · + 1.02 × 10
1377
a − 1.53 ×
10
1381
, u
206
+ 50u
204
+ · · · + 14240u − 23011i
(i) Arc colorings
a
3
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
12
=
−1.24923u
205
− 0.457245u
204
+ ··· + 49046.6u + 14968.0
−0.148818u
205
− 0.317566u
204
+ ··· − 1675.80u + 16257.9
a
8
=
2.07913u
205
+ 2.01660u
204
+ ··· − 54117.4u − 89525.8
−0.387228u
205
+ 0.221741u
204
+ ··· + 22547.3u − 12920.9
a
2
=
u
u
3
+ u
a
5
=
−0.835289u
205
− 1.85164u
204
+ ··· + 2325.95u + 84466.1
0.403162u
205
− 0.455726u
204
+ ··· − 26105.0u + 23498.0
a
11
=
−1.39805u
205
− 0.774811u
204
+ ··· + 47370.8u + 31225.8
−0.148818u
205
− 0.317566u
204
+ ··· − 1675.80u + 16257.9
a
9
=
−0.112651u
205
+ 0.795357u
204
+ ··· + 18504.6u − 39304.5
−0.566387u
205
+ 0.141147u
204
+ ··· + 27229.9u − 8443.97
a
4
=
1.71560u
205
+ 1.16243u
204
+ ··· − 55839.1u − 50267.9
0.0904229u
205
− 0.118107u
204
+ ··· − 5227.31u + 5260.12
a
1
=
−1.02977u
205
− 2.13736u
204
+ ··· + 1410.29u + 94281.4
0.560273u
205
− 0.495833u
204
+ ··· − 39580.4u + 26176.1
a
10
=
0.190370u
205
+ 0.948223u
204
+ ··· + 8284.65u − 46005.8
−0.415373u
205
+ 0.213807u
204
+ ··· + 21806.0u − 11627.6
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4.45801u
205
− 3.78212u
204
+ ··· + 131136.u + 149244.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
206
− 4u
205
+ ··· − 6646u + 279
c
2
, c
6
u
206
+ 50u
204
+ ··· − 14240u − 23011
c
3
u
206
− 23u
204
+ ··· + 680803696640u − 49121591296
c
5
u
206
− 12u
205
+ ··· + 188u − 8
c
7
u
206
− 7u
204
+ ··· + 307888522u − 10416143
c
8
u
206
− 14u
205
+ ··· + 82275u + 1921
c
9
u
206
− 3u
205
+ ··· + 549559u − 340933
c
10
u
206
− 2u
205
+ ··· − 252875824155u − 41030919307
c
11
u
206
− 4u
205
+ ··· − 85u + 3
c
12
u
206
− 12u
205
+ ··· − 1031021376u − 198007488
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
206
+ 142y
205
+ ··· + 261434y + 77841
c
2
, c
6
y
206
+ 100y
205
+ ··· + 27689085610y + 529506121
c
3
y
206
− 46y
205
+ ··· − 1.93 × 10
23
y + 2.41 × 10
21
c
5
y
206
+ 2y
205
+ ··· + 9776y + 64
c
7
y
206
− 14y
205
+ ··· + 8508975757402814y + 108496034996449
c
8
y
206
− 36y
205
+ ··· − 4238192811y + 3690241
c
9
y
206
− 21y
205
+ ··· − 16612307091225y + 116235310489
c
10
y
206
− 98y
205
+ ··· − 1.61 × 10
23
y + 1.68 × 10
21
c
11
y
206
− 10y
205
+ ··· − 283y + 9
c
12
y
206
− 60y
205
+ ··· − 3145705022699527680y + 39206965304070144
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.852378 + 0.499579I
a = 0.221394 + 0.192372I
b = −0.462433 + 0.321891I
3.63058 + 3.34731I 0
u = −0.852378 − 0.499579I
a = 0.221394 − 0.192372I
b = −0.462433 − 0.321891I
3.63058 − 3.34731I 0
u = 0.415178 + 0.924701I
a = −1.37433 + 1.15611I
b = −0.210343 − 0.935141I
6.62024 − 5.22982I 0
u = 0.415178 − 0.924701I
a = −1.37433 − 1.15611I
b = −0.210343 + 0.935141I
6.62024 + 5.22982I 0
u = 0.648840 + 0.789093I
a = 0.362405 − 0.696253I
b = 0.025672 − 0.202908I
4.12915 + 0.21751I 0
u = 0.648840 − 0.789093I
a = 0.362405 + 0.696253I
b = 0.025672 + 0.202908I
4.12915 − 0.21751I 0
u = −0.299755 + 0.985648I
a = 0.17545 + 1.94630I
b = −0.081399 − 1.132500I
4.18133 + 0.96771I 0
u = −0.299755 − 0.985648I
a = 0.17545 − 1.94630I
b = −0.081399 + 1.132500I
4.18133 − 0.96771I 0
u = −0.247149 + 1.010070I
a = −1.42325 − 1.58111I
b = 0.48621 + 1.68214I
8.65376 + 0.73150I 0
u = −0.247149 − 1.010070I
a = −1.42325 + 1.58111I
b = 0.48621 − 1.68214I
8.65376 − 0.73150I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.196900 + 1.039640I
a = −0.27451 − 1.91756I
b = −0.099253 + 1.145380I
8.78142 − 0.45494I 0
u = 0.196900 − 1.039640I
a = −0.27451 + 1.91756I
b = −0.099253 − 1.145380I
8.78142 + 0.45494I 0
u = −0.919057 + 0.524548I
a = −0.507244 + 0.608003I
b = −0.270865 + 0.186214I
0.27564 + 5.22638I 0
u = −0.919057 − 0.524548I
a = −0.507244 − 0.608003I
b = −0.270865 − 0.186214I
0.27564 − 5.22638I 0
u = −0.011444 + 0.936367I
a = −1.92823 + 1.05959I
b = 2.26010 − 0.55093I
4.64921 + 0.77443I 0
u = −0.011444 − 0.936367I
a = −1.92823 − 1.05959I
b = 2.26010 + 0.55093I
4.64921 − 0.77443I 0
u = 0.121941 + 1.056860I
a = −0.98991 + 2.05783I
b = 0.55495 − 2.05384I
4.18537 − 0.25383I 0
u = 0.121941 − 1.056860I
a = −0.98991 − 2.05783I
b = 0.55495 + 2.05384I
4.18537 + 0.25383I 0
u = 0.914468 + 0.197123I
a = −0.047993 − 0.236538I
b = −0.746350 − 0.718300I
2.76022 − 6.79685I 0
u = 0.914468 − 0.197123I
a = −0.047993 + 0.236538I
b = −0.746350 + 0.718300I
2.76022 + 6.79685I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.816119 + 0.426958I
a = 1.077320 + 0.791595I
b = 0.868748 − 0.888779I
4.24470 + 4.76496I 0
u = −0.816119 − 0.426958I
a = 1.077320 − 0.791595I
b = 0.868748 + 0.888779I
4.24470 − 4.76496I 0
u = 0.279578 + 0.866302I
a = 0.42576 + 2.75431I
b = −1.07454 − 1.15296I
−0.0946138 + 0.0931659I 0
u = 0.279578 − 0.866302I
a = 0.42576 − 2.75431I
b = −1.07454 + 1.15296I
−0.0946138 − 0.0931659I 0
u = 0.380299 + 1.022350I
a = 0.67042 − 1.95304I
b = 0.13729 + 1.53736I
6.87881 − 0.71094I 0
u = 0.380299 − 1.022350I
a = 0.67042 + 1.95304I
b = 0.13729 − 1.53736I
6.87881 + 0.71094I 0
u = −0.384170 + 0.817717I
a = −0.15915 − 2.83800I
b = −0.89962 + 1.09241I
−3.10470 + 4.33797I 0
u = −0.384170 − 0.817717I
a = −0.15915 + 2.83800I
b = −0.89962 − 1.09241I
−3.10470 − 4.33797I 0
u = −1.077140 + 0.218578I
a = −0.002824 − 0.315354I
b = −0.832742 − 0.964996I
−1.02001 − 6.68521I 0
u = −1.077140 − 0.218578I
a = −0.002824 + 0.315354I
b = −0.832742 + 0.964996I
−1.02001 + 6.68521I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.265527 + 0.859681I
a = −0.546821 + 0.022818I
b = 1.51083 − 0.58470I
−0.14831 − 2.62345I 0
u = 0.265527 − 0.859681I
a = −0.546821 − 0.022818I
b = 1.51083 + 0.58470I
−0.14831 + 2.62345I 0
u = 0.609674 + 0.644447I
a = 0.194304 + 0.179284I
b = −0.991421 − 0.189066I
−1.57551 − 5.11041I 0
u = 0.609674 − 0.644447I
a = 0.194304 − 0.179284I
b = −0.991421 + 0.189066I
−1.57551 + 5.11041I 0
u = 1.112390 + 0.107441I
a = 0.284219 − 0.318587I
b = −0.252935 − 0.027578I
−2.61789 + 0.31689I 0
u = 1.112390 − 0.107441I
a = 0.284219 + 0.318587I
b = −0.252935 + 0.027578I
−2.61789 − 0.31689I 0
u = −0.107963 + 1.115960I
a = 0.81574 + 1.88221I
b = −0.88592 − 2.14946I
4.58557 − 0.30273I 0
u = −0.107963 − 1.115960I
a = 0.81574 − 1.88221I
b = −0.88592 + 2.14946I
4.58557 + 0.30273I 0
u = −0.476820 + 1.021780I
a = 0.404735 + 1.165530I
b = 0.142026 − 0.170506I
2.29162 − 0.22801I 0
u = −0.476820 − 1.021780I
a = 0.404735 − 1.165530I
b = 0.142026 + 0.170506I
2.29162 + 0.22801I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.358266 + 1.074370I
a = −1.29758 + 0.75212I
b = 0.71239 − 1.32851I
7.42750 + 3.00839I 0
u = 0.358266 − 1.074370I
a = −1.29758 − 0.75212I
b = 0.71239 + 1.32851I
7.42750 − 3.00839I 0
u = 0.759917 + 0.412152I
a = 1.67316 − 0.72560I
b = 0.923789 − 0.335686I
−1.57514 − 2.05589I 0
u = 0.759917 − 0.412152I
a = 1.67316 + 0.72560I
b = 0.923789 + 0.335686I
−1.57514 + 2.05589I 0
u = −0.403296 + 0.759359I
a = −0.160593 − 0.156643I
b = 1.231220 + 0.608968I
−3.24962 − 0.85600I 0
u = −0.403296 − 0.759359I
a = −0.160593 + 0.156643I
b = 1.231220 − 0.608968I
−3.24962 + 0.85600I 0
u = −0.456692 + 1.049510I
a = 0.403526 + 1.281480I
b = 0.150743 − 0.224019I
2.29639 − 0.22767I 0
u = −0.456692 − 1.049510I
a = 0.403526 − 1.281480I
b = 0.150743 + 0.224019I
2.29639 + 0.22767I 0
u = 0.915348 + 0.694450I
a = 0.104046 − 0.419376I
b = 0.569474 + 0.310786I
−1.227550 − 0.435334I 0
u = 0.915348 − 0.694450I
a = 0.104046 + 0.419376I
b = 0.569474 − 0.310786I
−1.227550 + 0.435334I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.532731 + 1.025950I
a = −0.885459 + 0.487937I
b = −0.859686 + 0.034392I
0.12635 − 2.70025I 0
u = 0.532731 − 1.025950I
a = −0.885459 − 0.487937I
b = −0.859686 − 0.034392I
0.12635 + 2.70025I 0
u = −0.107066 + 0.833430I
a = 1.334520 + 0.048843I
b = −1.31665 − 0.52950I
4.62180 − 0.51584I 0
u = −0.107066 − 0.833430I
a = 1.334520 − 0.048843I
b = −1.31665 + 0.52950I
4.62180 + 0.51584I 0
u = −0.665342 + 0.952042I
a = −0.904490 − 0.486367I
b = −0.402480 + 0.491378I
2.05534 + 4.67725I 0
u = −0.665342 − 0.952042I
a = −0.904490 + 0.486367I
b = −0.402480 − 0.491378I
2.05534 − 4.67725I 0
u = 0.826394 + 0.127642I
a = 0.361916 + 0.024212I
b = 0.950630 − 0.523871I
−0.98212 + 1.37040I 0
u = 0.826394 − 0.127642I
a = 0.361916 − 0.024212I
b = 0.950630 + 0.523871I
−0.98212 − 1.37040I 0
u = −0.419673 + 0.717810I
a = 0.137164 − 0.568619I
b = −1.269710 + 0.347068I
1.39966 + 8.61799I 0
u = −0.419673 − 0.717810I
a = 0.137164 + 0.568619I
b = −1.269710 − 0.347068I
1.39966 − 8.61799I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.822934 + 0.081342I
a = 1.76184 + 0.42924I
b = 1.039030 + 0.914148I
3.99123 + 7.92047I 0
u = −0.822934 − 0.081342I
a = 1.76184 − 0.42924I
b = 1.039030 − 0.914148I
3.99123 − 7.92047I 0
u = −0.438018 + 1.095550I
a = 0.01326 + 2.15202I
b = 1.22517 − 0.83549I
3.45836 + 11.03310I 0
u = −0.438018 − 1.095550I
a = 0.01326 − 2.15202I
b = 1.22517 + 0.83549I
3.45836 − 11.03310I 0
u = −0.707653 + 0.945252I
a = −0.501513 + 0.431326I
b = 0.775148 + 0.143708I
2.09667 − 4.14322I 0
u = −0.707653 − 0.945252I
a = −0.501513 − 0.431326I
b = 0.775148 − 0.143708I
2.09667 + 4.14322I 0
u = −0.705918 + 0.415082I
a = 0.466083 − 0.033394I
b = 1.055500 + 0.327775I
−0.250568 − 0.890470I 0
u = −0.705918 − 0.415082I
a = 0.466083 + 0.033394I
b = 1.055500 − 0.327775I
−0.250568 + 0.890470I 0
u = 0.535241 + 0.614850I
a = −1.28423 + 3.02459I
b = −0.619608 − 0.936648I
2.44673 − 8.59776I 0
u = 0.535241 − 0.614850I
a = −1.28423 − 3.02459I
b = −0.619608 + 0.936648I
2.44673 + 8.59776I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.033252 + 0.811950I
a = −1.22833 − 1.92504I
b = 1.226220 + 0.478441I
1.50486 + 2.03777I 0
u = −0.033252 − 0.811950I
a = −1.22833 + 1.92504I
b = 1.226220 − 0.478441I
1.50486 − 2.03777I 0
u = −0.549754 + 1.054020I
a = −0.25095 − 1.73819I
b = −0.981344 + 0.496292I
1.58501 + 5.67095I 0
u = −0.549754 − 1.054020I
a = −0.25095 + 1.73819I
b = −0.981344 − 0.496292I
1.58501 − 5.67095I 0
u = 0.378154 + 1.127360I
a = 1.16278 − 1.30964I
b = 0.145935 + 0.401150I
8.21574 + 3.38820I 0
u = 0.378154 − 1.127360I
a = 1.16278 + 1.30964I
b = 0.145935 − 0.401150I
8.21574 − 3.38820I 0
u = −0.524164 + 1.070540I
a = −0.805203 − 1.019350I
b = −0.831685 + 0.534672I
2.58286 + 7.16096I 0
u = −0.524164 − 1.070540I
a = −0.805203 + 1.019350I
b = −0.831685 − 0.534672I
2.58286 − 7.16096I 0
u = 0.421647 + 1.115260I
a = 1.42759 + 0.15198I
b = 0.719870 + 0.083101I
5.27680 − 11.23860I 0
u = 0.421647 − 1.115260I
a = 1.42759 − 0.15198I
b = 0.719870 − 0.083101I
5.27680 + 11.23860I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.375545 + 1.138710I
a = −0.24375 − 2.01328I
b = 0.935732 + 0.798136I
2.12136 − 7.40092I 0
u = 0.375545 − 1.138710I
a = −0.24375 + 2.01328I
b = 0.935732 − 0.798136I
2.12136 + 7.40092I 0
u = 1.200120 + 0.041594I
a = 1.092250 + 0.248745I
b = 1.17798 + 1.27007I
−1.02024 + 1.69563I 0
u = 1.200120 − 0.041594I
a = 1.092250 − 0.248745I
b = 1.17798 − 1.27007I
−1.02024 − 1.69563I 0
u = 0.167997 + 0.772634I
a = 1.22340 + 1.97951I
b = −0.362203 − 0.024099I
−0.50571 − 2.98010I 0
u = 0.167997 − 0.772634I
a = 1.22340 − 1.97951I
b = −0.362203 + 0.024099I
−0.50571 + 2.98010I 0
u = 0.506674 + 1.102510I
a = −0.16737 + 1.81510I
b = −1.076060 − 0.739460I
1.74707 − 5.94836I 0
u = 0.506674 − 1.102510I
a = −0.16737 − 1.81510I
b = −1.076060 + 0.739460I
1.74707 + 5.94836I 0
u = 1.121240 + 0.464967I
a = 0.088981 + 0.384115I
b = −0.93261 + 1.20327I
−2.88716 + 1.88909I 0
u = 1.121240 − 0.464967I
a = 0.088981 − 0.384115I
b = −0.93261 − 1.20327I
−2.88716 − 1.88909I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.526374 + 1.094230I
a = −0.65069 − 1.85443I
b = −0.462201 + 0.597448I
1.32353 + 7.10432I 0
u = −0.526374 − 1.094230I
a = −0.65069 + 1.85443I
b = −0.462201 − 0.597448I
1.32353 − 7.10432I 0
u = −0.668922 + 1.020000I
a = 0.80898 + 1.74359I
b = 1.25535 − 1.10118I
5.84970 + 5.51677I 0
u = −0.668922 − 1.020000I
a = 0.80898 − 1.74359I
b = 1.25535 + 1.10118I
5.84970 − 5.51677I 0
u = −0.362972 + 1.166880I
a = −0.05599 − 1.57405I
b = −1.55200 + 0.63923I
8.51017 + 7.88042I 0
u = −0.362972 − 1.166880I
a = −0.05599 + 1.57405I
b = −1.55200 − 0.63923I
8.51017 − 7.88042I 0
u = 0.476971 + 1.128190I
a = −0.179142 + 1.118020I
b = −0.579401 − 0.358466I
1.17039 − 3.51010I 0
u = 0.476971 − 1.128190I
a = −0.179142 − 1.118020I
b = −0.579401 + 0.358466I
1.17039 + 3.51010I 0
u = 0.376067 + 1.168630I
a = −0.32751 − 1.58525I
b = 0.411466 + 0.521518I
1.62907 − 4.76673I 0
u = 0.376067 − 1.168630I
a = −0.32751 + 1.58525I
b = 0.411466 − 0.521518I
1.62907 + 4.76673I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.171800 + 0.366630I
a = 0.1145440 + 0.0374509I
b = 1.02374 − 1.00274I
3.9713 + 15.2623I 0
u = 1.171800 − 0.366630I
a = 0.1145440 − 0.0374509I
b = 1.02374 + 1.00274I
3.9713 − 15.2623I 0
u = −0.506245 + 0.582562I
a = 0.266304 − 0.349512I
b = −0.918459 − 0.814549I
4.82578 − 0.57935I 0
u = −0.506245 − 0.582562I
a = 0.266304 + 0.349512I
b = −0.918459 + 0.814549I
4.82578 + 0.57935I 0
u = 0.536719 + 1.107140I
a = 0.33564 − 2.01729I
b = 1.39714 + 1.12530I
6.09694 − 10.26220I 0
u = 0.536719 − 1.107140I
a = 0.33564 + 2.01729I
b = 1.39714 − 1.12530I
6.09694 + 10.26220I 0
u = −0.358651 + 1.178810I
a = 1.110370 − 0.368430I
b = 0.875274 + 0.099673I
−0.26702 + 4.90685I 0
u = −0.358651 − 1.178810I
a = 1.110370 + 0.368430I
b = 0.875274 − 0.099673I
−0.26702 − 4.90685I 0
u = −0.328779 + 1.187870I
a = −0.25669 + 1.77124I
b = 0.563631 − 1.058650I
8.43895 + 6.37109I 0
u = −0.328779 − 1.187870I
a = −0.25669 − 1.77124I
b = 0.563631 + 1.058650I
8.43895 − 6.37109I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.045265 + 0.764393I
a = −1.04052 + 1.35969I
b = −0.826361 − 0.719990I
5.69181 − 5.01829I 0
u = 0.045265 − 0.764393I
a = −1.04052 − 1.35969I
b = −0.826361 + 0.719990I
5.69181 + 5.01829I 0
u = 0.521106 + 1.129770I
a = −0.32844 + 1.97416I
b = −0.165289 − 0.817778I
7.16871 − 11.13770I 0
u = 0.521106 − 1.129770I
a = −0.32844 − 1.97416I
b = −0.165289 + 0.817778I
7.16871 + 11.13770I 0
u = 0.661751 + 0.356658I
a = −0.192693 + 0.555665I
b = −1.16055 + 0.86487I
3.89196 + 5.58337I 0
u = 0.661751 − 0.356658I
a = −0.192693 − 0.555665I
b = −1.16055 − 0.86487I
3.89196 − 5.58337I 0
u = 0.644698 + 0.376463I
a = 0.552251 − 0.139413I
b = 0.639162 + 0.250368I
−1.210990 − 0.728827I 0
u = 0.644698 − 0.376463I
a = 0.552251 + 0.139413I
b = 0.639162 − 0.250368I
−1.210990 + 0.728827I 0
u = −0.047271 + 0.741986I
a = 0.571426 − 0.737223I
b = 1.150000 − 0.100853I
−1.59689 + 2.82313I 0
u = −0.047271 − 0.741986I
a = 0.571426 + 0.737223I
b = 1.150000 + 0.100853I
−1.59689 − 2.82313I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.639156 + 0.366421I
a = 0.647854 − 0.964296I
b = 0.550908 + 0.465381I
−0.80345 − 2.53442I 0
u = −0.639156 − 0.366421I
a = 0.647854 + 0.964296I
b = 0.550908 − 0.465381I
−0.80345 + 2.53442I 0
u = 1.107870 + 0.612613I
a = 0.105082 + 0.220991I
b = 1.008960 − 0.925342I
3.90029 + 1.98715I 0
u = 1.107870 − 0.612613I
a = 0.105082 − 0.220991I
b = 1.008960 + 0.925342I
3.90029 − 1.98715I 0
u = −0.724392 + 0.061562I
a = −0.163608 − 0.294618I
b = −0.955230 − 0.748090I
−0.00820 − 5.47176I 0
u = −0.724392 − 0.061562I
a = −0.163608 + 0.294618I
b = −0.955230 + 0.748090I
−0.00820 + 5.47176I 0
u = −0.366325 + 1.220980I
a = −0.667991 − 0.742299I
b = 0.258657 + 1.127310I
3.85356 − 1.28006I 0
u = −0.366325 − 1.220980I
a = −0.667991 + 0.742299I
b = 0.258657 − 1.127310I
3.85356 + 1.28006I 0
u = −0.493672 + 1.175810I
a = 0.12178 + 1.86176I
b = 1.19515 − 1.12533I
3.10291 + 10.00470I 0
u = −0.493672 − 1.175810I
a = 0.12178 − 1.86176I
b = 1.19515 + 1.12533I
3.10291 − 10.00470I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.320977 + 1.234760I
a = 0.11876 + 1.48707I
b = −1.55461 − 0.87276I
4.21648 − 2.83698I 0
u = 0.320977 − 1.234760I
a = 0.11876 − 1.48707I
b = −1.55461 + 0.87276I
4.21648 + 2.83698I 0
u = −1.227180 + 0.377158I
a = 0.152244 − 0.076691I
b = 1.005490 + 0.987514I
−0.88981 − 9.23577I 0
u = −1.227180 − 0.377158I
a = 0.152244 + 0.076691I
b = 1.005490 − 0.987514I
−0.88981 + 9.23577I 0
u = 0.029285 + 0.708957I
a = −2.65155 − 0.34743I
b = −0.787678 + 0.170716I
−0.93716 + 2.89635I 0
u = 0.029285 − 0.708957I
a = −2.65155 + 0.34743I
b = −0.787678 − 0.170716I
−0.93716 − 2.89635I 0
u = 0.651493 + 0.275231I
a = −0.35287 + 1.64686I
b = 0.347229 − 0.647416I
4.69712 + 6.54557I 0
u = 0.651493 − 0.275231I
a = −0.35287 − 1.64686I
b = 0.347229 + 0.647416I
4.69712 − 6.54557I 0
u = 0.136428 + 1.291980I
a = 0.730581 + 0.487452I
b = −0.472760 − 0.131455I
0.06666 − 2.58174I 0
u = 0.136428 − 1.291980I
a = 0.730581 − 0.487452I
b = −0.472760 + 0.131455I
0.06666 + 2.58174I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.386360 + 0.583380I
a = 0.640460 + 0.139417I
b = 1.024960 + 0.106701I
−1.327010 + 0.308275I 0
u = 0.386360 − 0.583380I
a = 0.640460 − 0.139417I
b = 1.024960 − 0.106701I
−1.327010 − 0.308275I 0
u = −0.468323 + 1.222100I
a = 1.116960 + 0.772472I
b = −1.13087 − 1.72999I
7.6886 + 12.4448I 0
u = −0.468323 − 1.222100I
a = 1.116960 − 0.772472I
b = −1.13087 + 1.72999I
7.6886 − 12.4448I 0
u = 0.451546 + 1.251300I
a = −0.02296 − 1.71775I
b = 1.05313 + 1.25599I
6.93363 − 11.35020I 0
u = 0.451546 − 1.251300I
a = −0.02296 + 1.71775I
b = 1.05313 − 1.25599I
6.93363 + 11.35020I 0
u = −0.608367 + 0.266864I
a = 1.168620 + 0.527328I
b = 0.392295 + 0.593931I
0.43871 − 2.75508I 0
u = −0.608367 − 0.266864I
a = 1.168620 − 0.527328I
b = 0.392295 − 0.593931I
0.43871 + 2.75508I 0
u = 0.042841 + 0.654641I
a = −1.48464 + 3.12373I
b = 0.821388 − 0.187262I
5.64945 − 5.84406I 0
u = 0.042841 − 0.654641I
a = −1.48464 − 3.12373I
b = 0.821388 + 0.187262I
5.64945 + 5.84406I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.641449 + 1.181410I
a = 0.340434 + 0.607677I
b = 1.010350 − 0.655057I
4.01723 + 3.52507I 0
u = 0.641449 − 1.181410I
a = 0.340434 − 0.607677I
b = 1.010350 + 0.655057I
4.01723 − 3.52507I 0
u = 0.483975 + 1.254960I
a = 0.977025 − 0.781346I
b = −0.97315 + 1.66864I
3.06047 − 6.96857I 0
u = 0.483975 − 1.254960I
a = 0.977025 + 0.781346I
b = −0.97315 − 1.66864I
3.06047 + 6.96857I 0
u = −0.578899 + 1.253330I
a = 0.824389 + 0.570641I
b = −0.90245 − 1.34868I
6.86275 + 0.88219I 0
u = −0.578899 − 1.253330I
a = 0.824389 − 0.570641I
b = −0.90245 + 1.34868I
6.86275 − 0.88219I 0
u = 0.803577 + 1.128320I
a = −0.484065 + 0.399023I
b = −0.497657 − 0.412129I
4.73045 − 6.26396I 0
u = 0.803577 − 1.128320I
a = −0.484065 − 0.399023I
b = −0.497657 + 0.412129I
4.73045 + 6.26396I 0
u = −0.457075 + 1.316180I
a = 0.022975 − 1.249120I
b = −1.94992 + 0.79489I
7.72901 − 2.85077I 0
u = −0.457075 − 1.316180I
a = 0.022975 + 1.249120I
b = −1.94992 − 0.79489I
7.72901 + 2.85077I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.674436 + 1.225800I
a = 0.42559 − 1.50628I
b = 1.33122 + 1.31365I
−0.33423 − 8.29676I 0
u = 0.674436 − 1.225800I
a = 0.42559 + 1.50628I
b = 1.33122 − 1.31365I
−0.33423 + 8.29676I 0
u = −0.605311 + 1.267640I
a = 0.24613 + 1.53081I
b = 1.25977 − 1.30425I
2.25972 + 12.64170I 0
u = −0.605311 − 1.267640I
a = 0.24613 − 1.53081I
b = 1.25977 + 1.30425I
2.25972 − 12.64170I 0
u = −0.139301 + 1.400190I
a = −0.006531 − 1.026620I
b = −0.383177 + 1.350500I
5.11164 − 1.97608I 0
u = −0.139301 − 1.400190I
a = −0.006531 + 1.026620I
b = −0.383177 − 1.350500I
5.11164 + 1.97608I 0
u = −0.356540 + 0.462735I
a = −0.685647 − 0.540715I
b = −1.246610 − 0.552328I
1.39368 − 7.44206I 0
u = −0.356540 − 0.462735I
a = −0.685647 + 0.540715I
b = −1.246610 + 0.552328I
1.39368 + 7.44206I 0
u = −0.195061 + 0.544042I
a = 1.92191 − 4.40898I
b = −0.206824 − 0.148804I
−2.60924 − 2.39781I 0
u = −0.195061 − 0.544042I
a = 1.92191 + 4.40898I
b = −0.206824 + 0.148804I
−2.60924 + 2.39781I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.69440 + 1.27289I
a = −0.38479 + 1.59070I
b = −1.21982 − 1.12592I
6.8691 − 21.8699I 0
u = 0.69440 − 1.27289I
a = −0.38479 − 1.59070I
b = −1.21982 + 1.12592I
6.8691 + 21.8699I 0
u = 0.03716 + 1.45902I
a = 0.510054 − 1.078360I
b = −0.535979 + 0.994689I
11.61090 − 1.61773I 0
u = 0.03716 − 1.45902I
a = 0.510054 + 1.078360I
b = −0.535979 − 0.994689I
11.61090 + 1.61773I 0
u = 0.084173 + 0.532324I
a = −1.049450 + 0.056851I
b = −1.085340 + 0.455507I
−0.36464 + 4.75294I 0
u = 0.084173 − 0.532324I
a = −1.049450 − 0.056851I
b = −1.085340 − 0.455507I
−0.36464 − 4.75294I 0
u = −0.70192 + 1.29041I
a = −0.38147 − 1.54927I
b = −1.19889 + 1.08545I
2.0841 + 16.0213I 0
u = −0.70192 − 1.29041I
a = −0.38147 + 1.54927I
b = −1.19889 − 1.08545I
2.0841 − 16.0213I 0
u = −0.56563 + 1.35626I
a = −0.145534 − 0.571325I
b = −0.446267 + 0.463935I
6.27303 + 3.07214I 0
u = −0.56563 − 1.35626I
a = −0.145534 + 0.571325I
b = −0.446267 − 0.463935I
6.27303 − 3.07214I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.40829 + 0.43607I
a = 0.1253120 + 0.0125376I
b = 0.005780 − 0.617427I
2.63595 + 5.46050I 0
u = −1.40829 − 0.43607I
a = 0.1253120 − 0.0125376I
b = 0.005780 + 0.617427I
2.63595 − 5.46050I 0
u = −0.71735 + 1.30546I
a = 0.245118 + 0.816148I
b = 0.438392 − 0.861213I
5.83739 + 1.69622I 0
u = −0.71735 − 1.30546I
a = 0.245118 − 0.816148I
b = 0.438392 + 0.861213I
5.83739 − 1.69622I 0
u = 0.37424 + 1.44855I
a = −0.176351 + 0.659562I
b = −0.258628 − 0.942065I
6.86873 + 0.80991I 0
u = 0.37424 − 1.44855I
a = −0.176351 − 0.659562I
b = −0.258628 + 0.942065I
6.86873 − 0.80991I 0
u = 0.248492 + 0.436183I
a = −0.53967 + 6.04016I
b = −0.097507 + 0.279493I
2.95112 + 7.90322I −11.72728 + 0.I
u = 0.248492 − 0.436183I
a = −0.53967 − 6.04016I
b = −0.097507 − 0.279493I
2.95112 − 7.90322I −11.72728 + 0.I
u = −0.71881 + 1.33293I
a = 0.060061 + 0.864948I
b = 0.655148 − 0.551931I
5.7306 + 13.3290I 0
u = −0.71881 − 1.33293I
a = 0.060061 − 0.864948I
b = 0.655148 + 0.551931I
5.7306 − 13.3290I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.78634 + 1.29740I
a = −0.48576 + 1.46260I
b = −1.13832 − 1.04309I
6.07299 − 9.19455I 0
u = 0.78634 − 1.29740I
a = −0.48576 − 1.46260I
b = −1.13832 + 1.04309I
6.07299 + 9.19455I 0
u = 0.72138 + 1.34508I
a = 0.070887 − 0.799420I
b = 0.521826 + 0.569984I
1.31693 − 7.57818I 0
u = 0.72138 − 1.34508I
a = 0.070887 + 0.799420I
b = 0.521826 − 0.569984I
1.31693 + 7.57818I 0
u = −0.01373 + 1.54505I
a = 0.397177 + 1.034390I
b = −0.623102 − 1.103850I
6.83442 − 4.36734I 0
u = −0.01373 − 1.54505I
a = 0.397177 − 1.034390I
b = −0.623102 + 1.103850I
6.83442 + 4.36734I 0
u = 0.06420 + 1.55259I
a = 0.423506 − 0.963799I
b = −0.558011 + 1.162220I
11.2815 + 10.4644I 0
u = 0.06420 − 1.55259I
a = 0.423506 + 0.963799I
b = −0.558011 − 1.162220I
11.2815 − 10.4644I 0
u = 0.433934 + 0.033315I
a = 0.691515 + 0.669849I
b = −0.307387 + 0.897449I
4.41264 − 2.39072I 2.62892 + 0.74652I
u = 0.433934 − 0.033315I
a = 0.691515 − 0.669849I
b = −0.307387 − 0.897449I
4.41264 + 2.39072I 2.62892 − 0.74652I
24
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.55852 + 0.28108I
a = 0.0367913 + 0.0766865I
b = −0.278376 − 0.083200I
2.34172 − 5.95973I 0
u = −1.55852 − 0.28108I
a = 0.0367913 − 0.0766865I
b = −0.278376 + 0.083200I
2.34172 + 5.95973I 0
u = 1.62445
a = 0.141167
b = −0.226331
−2.38440 0
u = −0.246531 + 0.228188I
a = 0.742955 + 0.543557I
b = −0.318938 + 0.571419I
1.44181 − 0.83110I 4.17490 + 0.90130I
u = −0.246531 − 0.228188I
a = 0.742955 − 0.543557I
b = −0.318938 − 0.571419I
1.44181 + 0.83110I 4.17490 − 0.90130I
u = −1.69976
a = −1.56894
b = −1.31258
−6.39418 0
25
II.
I
u
2
= h−2.25×10
57
u
55
+3.88×10
56
u
54
+· · ·+9.70×10
54
b+6.73×10
57
, −4.35×
10
57
u
55
+9.99×10
57
u
54
+· · ·+9.70×10
54
a−3.76×10
58
, u
56
−u
55
+· · ·+u−1i
(i) Arc colorings
a
3
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
12
=
448.331u
55
− 1030.60u
54
+ ··· − 4831.19u + 3880.08
231.652u
55
− 39.9925u
54
+ ··· − 224.285u − 694.305
a
8
=
−435.395u
55
− 1100.37u
54
+ ··· − 4017.11u + 6759.95
−355.298u
55
+ 463.069u
54
+ ··· + 1698.79u − 827.268
a
2
=
u
u
3
+ u
a
5
=
293.819u
55
− 95.3107u
54
+ ··· + 1247.14u − 1698.57
535.752u
55
− 820.077u
54
+ ··· − 2635.07u + 1618.84
a
11
=
679.984u
55
− 1070.59u
54
+ ··· − 5055.47u + 3185.78
231.652u
55
− 39.9925u
54
+ ··· − 224.285u − 694.305
a
9
=
−496.520u
55
+ 933.332u
54
+ ··· + 2034.30u − 1901.07
−427.513u
55
+ 637.492u
54
+ ··· + 2339.23u − 1392.01
a
4
=
997.863u
55
− 1145.89u
54
+ ··· − 3215.54u + 1030.90
425.607u
55
− 1011.20u
54
+ ··· − 2391.41u + 1888.83
a
1
=
−470.359u
55
− 380.083u
54
+ ··· − 484.089u + 2626.85
−483.312u
55
+ 746.426u
54
+ ··· + 2693.48u − 1662.66
a
10
=
−519.172u
55
+ 1033.46u
54
+ ··· + 2018.10u − 2063.90
−418.923u
55
+ 679.870u
54
+ ··· + 2222.89u − 1477.36
(ii) Obstruction class = 1
(iii) Cusp Shapes = −1877.61u
55
+ 5392.85u
54
+ ··· + 13666.2u − 16164.8
26
(iv) u-Polynomials at the component
27
Crossings u-Polynomials at each crossing
c
1
u
56
− 9u
55
+ ··· + 3u + 9
c
2
u
56
+ u
55
+ ··· − u − 1
c
3
u
56
+ u
55
+ ··· + 2u − 7
c
4
u
56
+ 9u
55
+ ··· − 3u + 9
c
5
u
56
− 7u
55
+ ··· + 3u − 1
c
6
u
56
− u
55
+ ··· + u − 1
c
7
u
56
+ 3u
55
+ ··· + 75u − 7
c
8
u
56
+ 19u
55
+ ··· + 2u − 1
c
9
u
56
+ 2u
55
+ ··· + 10u − 1
c
10
u
56
+ 3u
55
+ ··· − 4u + 1
c
11
u
56
+ 3u
55
+ ··· + 6u + 1
c
12
u
56
− 13u
55
+ ··· − 97u + 7
28
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
56
+ 33y
55
+ ··· − 729y + 81
c
2
, c
6
y
56
+ 19y
55
+ ··· + 47y + 1
c
3
y
56
− 3y
55
+ ··· − 270y + 49
c
5
y
56
− 19y
55
+ ··· + 25y + 1
c
7
y
56
− 39y
55
+ ··· + 87y + 49
c
8
y
56
− 25y
55
+ ··· − 50y + 1
c
9
y
56
+ 2y
55
+ ··· − 240y + 1
c
10
y
56
− 31y
55
+ ··· + 14y + 1
c
11
y
56
− 7y
55
+ ··· + 10y + 1
c
12
y
56
− 25y
55
+ ··· − 421y + 49
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.987027 + 0.228732I
a = −0.0266958 + 0.0616775I
b = 0.682895 + 0.594889I
−2.47457 − 1.09929I 0
u = −0.987027 − 0.228732I
a = −0.0266958 − 0.0616775I
b = 0.682895 − 0.594889I
−2.47457 + 1.09929I 0
u = 0.303481 + 0.974404I
a = −1.240360 − 0.411698I
b = −0.814241 − 0.063661I
−0.06127 − 3.91918I 0
u = 0.303481 − 0.974404I
a = −1.240360 + 0.411698I
b = −0.814241 + 0.063661I
−0.06127 + 3.91918I 0
u = −0.255639 + 0.988949I
a = 0.32852 + 2.04130I
b = 0.041199 − 1.400360I
3.83306 + 0.92520I 0
u = −0.255639 − 0.988949I
a = 0.32852 − 2.04130I
b = 0.041199 + 1.400360I
3.83306 − 0.92520I 0
u = 0.062695 + 1.023050I
a = −2.72332 + 2.19984I
b = 2.78098 − 2.39711I
4.74710 + 0.23615I 43.5438 + 42.7192I
u = 0.062695 − 1.023050I
a = −2.72332 − 2.19984I
b = 2.78098 + 2.39711I
4.74710 − 0.23615I 43.5438 − 42.7192I
u = 0.358902 + 0.895778I
a = 0.68785 − 2.02526I
b = −0.14519 + 1.49516I
7.60189 − 1.50261I 0
u = 0.358902 − 0.895778I
a = 0.68785 + 2.02526I
b = −0.14519 − 1.49516I
7.60189 + 1.50261I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.021640 + 0.233836I
a = −0.275468 − 0.010783I
b = −0.765364 − 0.703644I
0.54037 − 6.73447I 0
u = 1.021640 − 0.233836I
a = −0.275468 + 0.010783I
b = −0.765364 + 0.703644I
0.54037 + 6.73447I 0
u = −1.108160 + 0.026320I
a = −1.206640 − 0.221875I
b = −1.16352 − 1.02722I
−1.10897 + 1.60498I 0
u = −1.108160 − 0.026320I
a = −1.206640 + 0.221875I
b = −1.16352 + 1.02722I
−1.10897 − 1.60498I 0
u = 0.533534 + 0.694160I
a = −1.53114 + 2.42825I
b = −1.053200 − 0.338528I
5.06281 − 6.78289I 4.02542 + 10.90305I
u = 0.533534 − 0.694160I
a = −1.53114 − 2.42825I
b = −1.053200 + 0.338528I
5.06281 + 6.78289I 4.02542 − 10.90305I
u = −0.736110 + 0.874518I
a = −0.593791 − 0.244482I
b = −0.679598 + 0.509842I
4.14123 + 6.52310I 0
u = −0.736110 − 0.874518I
a = −0.593791 + 0.244482I
b = −0.679598 − 0.509842I
4.14123 − 6.52310I 0
u = 0.002263 + 1.178210I
a = −1.108750 + 0.371519I
b = 0.361328 − 0.181015I
0.39900 + 2.61266I 0
u = 0.002263 − 1.178210I
a = −1.108750 − 0.371519I
b = 0.361328 + 0.181015I
0.39900 − 2.61266I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.729531 + 0.943866I
a = −0.056568 + 0.534618I
b = −1.000470 − 0.819404I
4.10221 − 2.96218I 0
u = −0.729531 − 0.943866I
a = −0.056568 − 0.534618I
b = −1.000470 + 0.819404I
4.10221 + 2.96218I 0
u = −0.492202 + 1.097990I
a = −0.08809 − 1.77951I
b = −0.876103 + 0.595338I
0.33545 + 5.76360I 0
u = −0.492202 − 1.097990I
a = −0.08809 + 1.77951I
b = −0.876103 − 0.595338I
0.33545 − 5.76360I 0
u = 0.703566 + 1.006330I
a = −0.483355 + 0.666259I
b = −0.464355 − 0.780723I
5.20948 − 3.10901I 0
u = 0.703566 − 1.006330I
a = −0.483355 − 0.666259I
b = −0.464355 + 0.780723I
5.20948 + 3.10901I 0
u = 0.456759 + 1.154750I
a = 0.04409 − 1.94187I
b = 1.31560 + 1.05508I
4.47767 − 10.70920I 0
u = 0.456759 − 1.154750I
a = 0.04409 + 1.94187I
b = 1.31560 − 1.05508I
4.47767 + 10.70920I 0
u = 0.486221 + 1.180120I
a = 0.121082 + 1.185310I
b = 0.166299 − 0.724334I
6.39974 − 11.18440I 0
u = 0.486221 − 1.180120I
a = 0.121082 − 1.185310I
b = 0.166299 + 0.724334I
6.39974 + 11.18440I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.414286 + 1.219720I
a = 0.281989 − 1.225540I
b = 1.268020 + 0.589960I
7.28603 + 2.58764I 0
u = 0.414286 − 1.219720I
a = 0.281989 + 1.225540I
b = 1.268020 − 0.589960I
7.28603 − 2.58764I 0
u = −0.616702 + 1.132330I
a = 0.42086 + 1.83127I
b = 1.10699 − 1.08954I
5.13123 + 8.68572I 0
u = −0.616702 − 1.132330I
a = 0.42086 − 1.83127I
b = 1.10699 + 1.08954I
5.13123 − 8.68572I 0
u = −0.563385 + 1.169690I
a = −0.333944 − 1.233470I
b = −0.244416 + 0.627394I
1.13472 + 6.37112I 0
u = −0.563385 − 1.169690I
a = −0.333944 + 1.233470I
b = −0.244416 − 0.627394I
1.13472 − 6.37112I 0
u = −0.323335 + 1.264510I
a = −0.322964 − 0.887158I
b = −0.238792 + 1.190860I
6.44758 − 0.97316I 0
u = −0.323335 − 1.264510I
a = −0.322964 + 0.887158I
b = −0.238792 − 1.190860I
6.44758 + 0.97316I 0
u = 0.296726 + 1.355560I
a = −0.393054 + 0.935029I
b = 0.063232 − 1.345250I
4.95973 + 1.29383I 0
u = 0.296726 − 1.355560I
a = −0.393054 − 0.935029I
b = 0.063232 + 1.345250I
4.95973 − 1.29383I 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.173062 + 0.574704I
a = 1.65207 − 0.14682I
b = 1.002880 + 0.187293I
−2.11628 − 2.29306I −9.54283 + 0.16020I
u = −0.173062 − 0.574704I
a = 1.65207 + 0.14682I
b = 1.002880 − 0.187293I
−2.11628 + 2.29306I −9.54283 − 0.16020I
u = 0.182485 + 0.550201I
a = 0.214700 + 0.849383I
b = −1.31583 + 0.51831I
1.86771 + 7.53183I 7.97980 − 6.74130I
u = 0.182485 − 0.550201I
a = 0.214700 − 0.849383I
b = −1.31583 − 0.51831I
1.86771 − 7.53183I 7.97980 + 6.74130I
u = 0.136795 + 0.540758I
a = −0.463988 − 0.685608I
b = −1.066520 − 0.384248I
−0.31002 − 5.11144I 0.52891 + 14.11168I
u = 0.136795 − 0.540758I
a = −0.463988 + 0.685608I
b = −1.066520 + 0.384248I
−0.31002 + 5.11144I 0.52891 − 14.11168I
u = 0.112521 + 0.519575I
a = 1.09972 + 6.17717I
b = 0.197842 − 0.631488I
3.24758 + 7.99563I 12.7719 − 9.9173I
u = 0.112521 − 0.519575I
a = 1.09972 − 6.17717I
b = 0.197842 + 0.631488I
3.24758 − 7.99563I 12.7719 + 9.9173I
u = 1.48183 + 0.05376I
a = −0.191175 − 0.003168I
b = −0.021798 − 0.189938I
2.48650 + 5.91994I 0
u = 1.48183 − 0.05376I
a = −0.191175 + 0.003168I
b = −0.021798 + 0.189938I
2.48650 − 5.91994I 0
35
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.066618 + 0.502328I
a = 0.02538 + 2.03818I
b = 1.093320 − 0.503702I
−0.62191 − 1.34384I −2.21373 + 1.30993I
u = −0.066618 − 0.502328I
a = 0.02538 − 2.03818I
b = 1.093320 + 0.503702I
−0.62191 + 1.34384I −2.21373 − 1.30993I
u = −0.052343 + 0.501137I
a = 2.96470 − 3.68951I
b = 0.533529 + 0.398093I
−2.54479 − 2.78313I −6.14585 + 12.27119I
u = −0.052343 − 0.501137I
a = 2.96470 + 3.68951I
b = 0.533529 − 0.398093I
−2.54479 + 2.78313I −6.14585 − 12.27119I
u = −1.59012
a = −0.181931
b = 0.162804
−2.34895 0
u = 1.69093
a = 1.57862
b = 1.30776
−6.40287 0
36
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
56
− 9u
55
+ ··· + 3u + 9)(u
206
− 4u
205
+ ··· − 6646u + 279)
c
2
(u
56
+ u
55
+ ··· − u − 1)(u
206
+ 50u
204
+ ··· − 14240u − 23011)
c
3
(u
56
+ u
55
+ ··· + 2u − 7)
· (u
206
− 23u
204
+ ··· + 680803696640u − 49121591296)
c
4
(u
56
+ 9u
55
+ ··· − 3u + 9)(u
206
− 4u
205
+ ··· − 6646u + 279)
c
5
(u
56
− 7u
55
+ ··· + 3u − 1)(u
206
− 12u
205
+ ··· + 188u − 8)
c
6
(u
56
− u
55
+ ··· + u − 1)(u
206
+ 50u
204
+ ··· − 14240u − 23011)
c
7
(u
56
+ 3u
55
+ ··· + 75u − 7)
· (u
206
− 7u
204
+ ··· + 307888522u − 10416143)
c
8
(u
56
+ 19u
55
+ ··· + 2u − 1)(u
206
− 14u
205
+ ··· + 82275u + 1921)
c
9
(u
56
+ 2u
55
+ ··· + 10u − 1)(u
206
− 3u
205
+ ··· + 549559u − 340933)
c
10
(u
56
+ 3u
55
+ ··· − 4u + 1)
· (u
206
− 2u
205
+ ··· − 252875824155u − 41030919307)
c
11
(u
56
+ 3u
55
+ ··· + 6u + 1)(u
206
− 4u
205
+ ··· − 85u + 3)
c
12
(u
56
− 13u
55
+ ··· − 97u + 7)
· (u
206
− 12u
205
+ ··· − 1031021376u − 198007488)
37
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
56
+ 33y
55
+ ··· − 729y + 81)
· (y
206
+ 142y
205
+ ··· + 261434y + 77841)
c
2
, c
6
(y
56
+ 19y
55
+ ··· + 47y + 1)
· (y
206
+ 100y
205
+ ··· + 27689085610y + 529506121)
c
3
(y
56
− 3y
55
+ ··· − 270y + 49)
· (y
206
− 46y
205
+ ··· − 1.93 × 10
23
y + 2.41 × 10
21
)
c
5
(y
56
− 19y
55
+ ··· + 25y + 1)(y
206
+ 2y
205
+ ··· + 9776y + 64)
c
7
(y
56
− 39y
55
+ ··· + 87y + 49)
· (y
206
− 14y
205
+ ··· + 8508975757402814y + 108496034996449)
c
8
(y
56
− 25y
55
+ ··· − 50y + 1)
· (y
206
− 36y
205
+ ··· − 4238192811y + 3690241)
c
9
(y
56
+ 2y
55
+ ··· − 240y + 1)
· (y
206
− 21y
205
+ ··· − 16612307091225y + 116235310489)
c
10
(y
56
− 31y
55
+ ··· + 14y + 1)
· (y
206
− 98y
205
+ ··· − 1.61 × 10
23
y + 1.68 × 10
21
)
c
11
(y
56
− 7y
55
+ ··· + 10y + 1)(y
206
− 10y
205
+ ··· − 283y + 9)
c
12
(y
56
− 25y
55
+ ··· − 421y + 49)
· (y
206
− 60y
205
+ ··· − 3145705022699527680y + 39206965304070144)
38
