11a
274
(K11a
274
)
A knot diagram
1
Linearized knot diagam
5 8 1 10 2 9 3 11 4 6 7
Solving Sequence
2,5 6,10
11 1 4 3 9 7 8
c
5
c
10
c
1
c
4
c
3
c
9
c
6
c
8
c
2
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h3.70774 × 10
408
u
106
+ 8.16968 × 10
408
u
105
+ ··· + 1.93043 × 10
406
b − 5.29637 × 10
411
,
− 1.82573 × 10
412
u
106
− 4.01506 × 10
412
u
105
+ ··· + 4.39752 × 10
409
a + 2.56897 × 10
415
,
u
107
+ 3u
106
+ ··· − 10305u − 1139i
I
u
2
= h244966793u
24
− 694692620u
23
+ ··· + 130021567b − 164391945,
− 9288763323u
24
+ 21892602582u
23
+ ··· + 130021567a + 11899834301,
u
25
− 2u
24
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 132 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h3.71 × 10
408
u
106
+ 8.17 × 10
408
u
105
+ · · · + 1.93 × 10
406
b − 5.30 ×
10
411
, −1.83 × 10
412
u
106
− 4.02 × 10
412
u
105
+ · · · + 4.40 × 10
409
a + 2.57 ×
10
415
, u
107
+ 3u
106
+ · · · − 10305u − 1139i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
10
=
415.172u
106
+ 913.027u
105
+ ··· − 4.57425 × 10
6
u − 584186.
−192.068u
106
− 423.205u
105
+ ··· + 2.13856 × 10
6
u + 274362.
a
11
=
−41.0477u
106
− 94.0550u
105
+ ··· + 517727.u + 68881.1
−477.753u
106
− 1055.09u
105
+ ··· + 5.34498 × 10
6
u + 686198.
a
1
=
u
u
a
4
=
−427.110u
106
− 949.021u
105
+ ··· + 4.83420 × 10
6
u + 621333.
453.142u
106
+ 1002.58u
105
+ ··· − 5.09478 × 10
6
u − 654884.
a
3
=
110.931u
106
+ 246.015u
105
+ ··· − 1.26496 × 10
6
u − 163618.
991.184u
106
+ 2197.61u
105
+ ··· − 1.11939 × 10
7
u − 1.43983 × 10
6
a
9
=
95.8929u
106
+ 194.195u
105
+ ··· − 843416.u − 101512.
572.889u
106
+ 1274.47u
105
+ ··· − 6.52524 × 10
6
u − 840913.
a
7
=
−90.0069u
106
− 202.051u
105
+ ··· + 1.05741 × 10
6
u + 137578.
−743.527u
106
− 1660.72u
105
+ ··· + 8.55566 × 10
6
u + 1.10499 × 10
6
a
8
=
568.863u
106
+ 1271.75u
105
+ ··· − 6.57032 × 10
6
u − 849767.
1649.37u
106
+ 3705.88u
105
+ ··· − 1.92517 × 10
7
u − 2.49360 × 10
6
a
8
=
568.863u
106
+ 1271.75u
105
+ ··· − 6.57032 × 10
6
u − 849767.
1649.37u
106
+ 3705.88u
105
+ ··· − 1.92517 × 10
7
u − 2.49360 × 10
6
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −912.136u
106
− 2056.39u
105
+ ··· + 1.07260 × 10
7
u + 1.39093 × 10
6
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
107
+ 3u
106
+ ··· − 10305u − 1139
c
2
, c
7
u
107
+ u
106
+ ··· − 73u + 151
c
3
u
107
− 6u
106
+ ··· − 6634767u + 1340716
c
4
, c
9
u
107
+ 2u
106
+ ··· + 282u + 193
c
6
u
107
+ 16u
106
+ ··· − 24u − 4
c
8
u
107
− 8u
106
+ ··· + 29u − 2
c
10
u
107
− 2u
106
+ ··· − 10504u + 844
c
11
u
107
+ 2u
106
+ ··· − 26229u − 6833
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
107
− 55y
106
+ ··· + 22754441y −1297321
c
2
, c
7
y
107
+ 75y
106
+ ··· − 624341y −22801
c
3
y
107
− 24y
106
+ ··· + 2724074633153y −1797519392656
c
4
, c
9
y
107
− 58y
106
+ ··· + 979290y −37249
c
6
y
107
− 6y
106
+ ··· + 664y −16
c
8
y
107
− 16y
106
+ ··· − 35y −4
c
10
y
107
− 4y
106
+ ··· + 49093376y −712336
c
11
y
107
− 16y
106
+ ··· + 957467627y −46689889
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.986400 + 0.232370I
a = 0.94892 + 1.81516I
b = 0.26348 + 1.64192I
−7.68063 − 0.83209I 0
u = 0.986400 − 0.232370I
a = 0.94892 − 1.81516I
b = 0.26348 − 1.64192I
−7.68063 + 0.83209I 0
u = 0.942762 + 0.377969I
a = 0.75110 + 1.67803I
b = −0.961631 + 0.436996I
−1.71347 − 4.27371I 0
u = 0.942762 − 0.377969I
a = 0.75110 − 1.67803I
b = −0.961631 − 0.436996I
−1.71347 + 4.27371I 0
u = −0.958354 + 0.075778I
a = −0.10373 − 1.63196I
b = 1.149760 − 0.565303I
−3.40971 + 0.41855I 0
u = −0.958354 − 0.075778I
a = −0.10373 + 1.63196I
b = 1.149760 + 0.565303I
−3.40971 − 0.41855I 0
u = −0.779316 + 0.696451I
a = −0.504398 + 0.453268I
b = −0.971305 + 0.384066I
0.10272 + 2.36255I 0
u = −0.779316 − 0.696451I
a = −0.504398 − 0.453268I
b = −0.971305 − 0.384066I
0.10272 − 2.36255I 0
u = 0.177444 + 1.042760I
a = 0.1006440 − 0.0606927I
b = −1.185950 − 0.430093I
3.78600 + 6.43458I 0
u = 0.177444 − 1.042760I
a = 0.1006440 + 0.0606927I
b = −1.185950 + 0.430093I
3.78600 − 6.43458I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.895161 + 0.290884I
a = 0.505776 + 0.140299I
b = 1.68447 − 0.12670I
0.58435 + 6.31456I 0
u = −0.895161 − 0.290884I
a = 0.505776 − 0.140299I
b = 1.68447 + 0.12670I
0.58435 − 6.31456I 0
u = −1.015630 + 0.422544I
a = −0.608996 + 1.091860I
b = −0.298045 + 0.748953I
−1.73579 + 1.74529I 0
u = −1.015630 − 0.422544I
a = −0.608996 − 1.091860I
b = −0.298045 − 0.748953I
−1.73579 − 1.74529I 0
u = 0.504244 + 0.740958I
a = −0.0333710 + 0.0042260I
b = 1.121870 + 0.369553I
2.26806 + 1.29518I 0
u = 0.504244 − 0.740958I
a = −0.0333710 − 0.0042260I
b = 1.121870 − 0.369553I
2.26806 − 1.29518I 0
u = 1.026430 + 0.445067I
a = 0.50031 − 1.38036I
b = 1.221760 − 0.462110I
3.45857 − 2.35544I 0
u = 1.026430 − 0.445067I
a = 0.50031 + 1.38036I
b = 1.221760 + 0.462110I
3.45857 + 2.35544I 0
u = −0.013670 + 0.872769I
a = −1.057650 − 0.304944I
b = 0.199244 − 0.708064I
−2.93156 + 7.07012I 0
u = −0.013670 − 0.872769I
a = −1.057650 + 0.304944I
b = 0.199244 + 0.708064I
−2.93156 − 7.07012I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.038590 + 0.476453I
a = −0.22479 + 2.27046I
b = −1.228310 + 0.377670I
0.79397 − 8.09835I 0
u = 1.038590 − 0.476453I
a = −0.22479 − 2.27046I
b = −1.228310 − 0.377670I
0.79397 + 8.09835I 0
u = 0.992427 + 0.582979I
a = 0.28613 + 1.52727I
b = −0.804721 + 0.144032I
−0.60216 − 4.42014I 0
u = 0.992427 − 0.582979I
a = 0.28613 − 1.52727I
b = −0.804721 − 0.144032I
−0.60216 + 4.42014I 0
u = −0.528391 + 0.662505I
a = −0.525822 + 0.658236I
b = −0.258034 + 0.406970I
−0.57780 + 2.21426I 0
u = −0.528391 − 0.662505I
a = −0.525822 − 0.658236I
b = −0.258034 − 0.406970I
−0.57780 − 2.21426I 0
u = −0.758270 + 0.377359I
a = −0.97768 − 1.94616I
b = −1.200130 − 0.362063I
0.87955 − 3.38375I 0
u = −0.758270 − 0.377359I
a = −0.97768 + 1.94616I
b = −1.200130 + 0.362063I
0.87955 + 3.38375I 0
u = 0.317941 + 0.777701I
a = 0.113685 + 0.456499I
b = −1.271250 − 0.022410I
5.70627 − 2.04309I 0
u = 0.317941 − 0.777701I
a = 0.113685 − 0.456499I
b = −1.271250 + 0.022410I
5.70627 + 2.04309I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.141690 + 0.244876I
a = 1.11712 + 1.68774I
b = 1.074340 + 0.337271I
1.05453 + 4.32890I 0
u = −1.141690 − 0.244876I
a = 1.11712 − 1.68774I
b = 1.074340 − 0.337271I
1.05453 − 4.32890I 0
u = 1.172160 + 0.081485I
a = −0.09877 − 1.50658I
b = −0.366081 − 1.317570I
−8.46915 + 0.58647I 0
u = 1.172160 − 0.081485I
a = −0.09877 + 1.50658I
b = −0.366081 + 1.317570I
−8.46915 − 0.58647I 0
u = −1.125510 + 0.369873I
a = 0.49032 − 1.38272I
b = 0.390445 − 1.233280I
−2.50091 + 5.55154I 0
u = −1.125510 − 0.369873I
a = 0.49032 + 1.38272I
b = 0.390445 + 1.233280I
−2.50091 − 5.55154I 0
u = 0.967874 + 0.696932I
a = 0.13939 + 1.74328I
b = −1.066700 + 0.627717I
0.84643 − 6.63458I 0
u = 0.967874 − 0.696932I
a = 0.13939 − 1.74328I
b = −1.066700 − 0.627717I
0.84643 + 6.63458I 0
u = 0.583611 + 0.547652I
a = −0.811130 + 0.011218I
b = 1.388120 + 0.262275I
2.21393 + 3.95320I 0
u = 0.583611 − 0.547652I
a = −0.811130 − 0.011218I
b = 1.388120 − 0.262275I
2.21393 − 3.95320I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.795751 + 0.026610I
a = −1.46071 + 0.31634I
b = −0.570264 + 0.577089I
−3.11864 − 0.19481I 0
u = −0.795751 − 0.026610I
a = −1.46071 − 0.31634I
b = −0.570264 − 0.577089I
−3.11864 + 0.19481I 0
u = 0.777664 + 0.122407I
a = −0.65432 − 2.51164I
b = 0.648800 − 0.175263I
−0.59738 + 1.82584I 0
u = 0.777664 − 0.122407I
a = −0.65432 + 2.51164I
b = 0.648800 + 0.175263I
−0.59738 − 1.82584I 0
u = −1.215000 + 0.037952I
a = −0.818057 + 0.597206I
b = −0.458096 + 0.474076I
−3.11142 + 0.38976I 0
u = −1.215000 − 0.037952I
a = −0.818057 − 0.597206I
b = −0.458096 − 0.474076I
−3.11142 − 0.38976I 0
u = −1.001390 + 0.697728I
a = −0.743289 + 1.106810I
b = 0.700521 + 0.787341I
−4.48306 + 5.28560I 0
u = −1.001390 − 0.697728I
a = −0.743289 − 1.106810I
b = 0.700521 − 0.787341I
−4.48306 − 5.28560I 0
u = −0.541425 + 0.553774I
a = −0.384506 − 0.148529I
b = −0.356617 + 0.793713I
−3.48677 − 0.29528I 0
u = −0.541425 − 0.553774I
a = −0.384506 + 0.148529I
b = −0.356617 − 0.793713I
−3.48677 + 0.29528I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.760332 + 0.012943I
a = 0.855839 − 0.321413I
b = −1.396060 + 0.132482I
3.02312 − 3.08803I 0
u = −0.760332 − 0.012943I
a = 0.855839 + 0.321413I
b = −1.396060 − 0.132482I
3.02312 + 3.08803I 0
u = 0.670518 + 0.345863I
a = 1.23360 + 1.94436I
b = −0.972382 + 0.540863I
−1.90792 − 4.34721I 0
u = 0.670518 − 0.345863I
a = 1.23360 − 1.94436I
b = −0.972382 − 0.540863I
−1.90792 + 4.34721I 0
u = −1.138980 + 0.512959I
a = −0.05806 + 1.65313I
b = 1.41965 + 0.74374I
−3.66538 + 8.73172I 0
u = −1.138980 − 0.512959I
a = −0.05806 − 1.65313I
b = 1.41965 − 0.74374I
−3.66538 − 8.73172I 0
u = 0.491471 + 1.150150I
a = −0.312123 + 0.353998I
b = 1.075750 + 0.300107I
2.80517 + 0.25289I 0
u = 0.491471 − 1.150150I
a = −0.312123 − 0.353998I
b = 1.075750 − 0.300107I
2.80517 − 0.25289I 0
u = 1.180050 + 0.415213I
a = 0.506233 + 0.429519I
b = 0.749302 + 0.843791I
−4.38972 + 0.65205I 0
u = 1.180050 − 0.415213I
a = 0.506233 − 0.429519I
b = 0.749302 − 0.843791I
−4.38972 − 0.65205I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.216470 + 0.294723I
a = −0.71129 + 1.56282I
b = 1.095460 + 0.361300I
−5.13584 + 7.74504I 0
u = −1.216470 − 0.294723I
a = −0.71129 − 1.56282I
b = 1.095460 − 0.361300I
−5.13584 − 7.74504I 0
u = −0.597176 + 0.450609I
a = −0.18481 + 1.97419I
b = 0.719013 + 0.729095I
0.69488 + 2.31741I 0
u = −0.597176 − 0.450609I
a = −0.18481 − 1.97419I
b = 0.719013 − 0.729095I
0.69488 − 2.31741I 0
u = 0.747034
a = −0.985560
b = −1.81420
6.04974 0
u = 0.783338 + 1.031040I
a = −0.476712 − 0.175098I
b = 1.054390 − 0.258775I
0.222061 − 0.979752I 0
u = 0.783338 − 1.031040I
a = −0.476712 + 0.175098I
b = 1.054390 + 0.258775I
0.222061 + 0.979752I 0
u = 1.129370 + 0.667915I
a = 0.04446 + 1.66659I
b = −1.138630 + 0.569880I
0.71143 − 6.72557I 0
u = 1.129370 − 0.667915I
a = 0.04446 − 1.66659I
b = −1.138630 − 0.569880I
0.71143 + 6.72557I 0
u = −0.306453 + 1.281190I
a = −0.179496 − 0.169731I
b = 1.160100 − 0.518560I
−0.15826 − 11.75880I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.306453 − 1.281190I
a = −0.179496 + 0.169731I
b = 1.160100 + 0.518560I
−0.15826 + 11.75880I 0
u = −0.256265 + 0.616203I
a = 0.659506 − 0.891867I
b = −1.174010 + 0.469012I
−1.10598 − 4.23301I 0
u = −0.256265 − 0.616203I
a = 0.659506 + 0.891867I
b = −1.174010 − 0.469012I
−1.10598 + 4.23301I 0
u = 1.249560 + 0.496859I
a = −0.470769 − 1.167780I
b = −0.303354 − 1.221520I
−6.63108 − 11.96940I 0
u = 1.249560 − 0.496859I
a = −0.470769 + 1.167780I
b = −0.303354 + 1.221520I
−6.63108 + 11.96940I 0
u = 1.309780 + 0.330332I
a = 0.274873 − 0.790752I
b = 0.089576 − 0.732286I
−6.27513 − 5.21106I 0
u = 1.309780 − 0.330332I
a = 0.274873 + 0.790752I
b = 0.089576 + 0.732286I
−6.27513 + 5.21106I 0
u = 1.339110 + 0.384317I
a = 0.218932 + 1.021670I
b = 0.428507 + 0.715696I
−3.42958 − 4.03082I 0
u = 1.339110 − 0.384317I
a = 0.218932 − 1.021670I
b = 0.428507 − 0.715696I
−3.42958 + 4.03082I 0
u = −0.596030 + 0.015402I
a = −1.40783 + 4.40453I
b = −0.624969 − 0.029942I
−2.33761 + 6.09907I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.596030 − 0.015402I
a = −1.40783 − 4.40453I
b = −0.624969 + 0.029942I
−2.33761 − 6.09907I 0
u = 1.278180 + 0.597403I
a = 0.16469 − 1.50384I
b = 1.27288 − 0.69832I
0.38916 − 12.29960I 0
u = 1.278180 − 0.597403I
a = 0.16469 + 1.50384I
b = 1.27288 + 0.69832I
0.38916 + 12.29960I 0
u = −1.34893 + 0.42751I
a = −0.341692 − 1.233990I
b = −1.26189 − 0.70892I
−5.54355 + 6.30492I 0
u = −1.34893 − 0.42751I
a = −0.341692 + 1.233990I
b = −1.26189 + 0.70892I
−5.54355 − 6.30492I 0
u = −1.36142 + 0.44294I
a = 0.344902 − 0.967409I
b = −0.886579 − 0.536312I
−6.97914 − 1.89469I 0
u = −1.36142 − 0.44294I
a = 0.344902 + 0.967409I
b = −0.886579 + 0.536312I
−6.97914 + 1.89469I 0
u = 1.46671 + 0.18400I
a = 0.997962 + 0.379768I
b = 0.537001 + 0.211295I
−7.13217 − 4.86452I 0
u = 1.46671 − 0.18400I
a = 0.997962 − 0.379768I
b = 0.537001 − 0.211295I
−7.13217 + 4.86452I 0
u = −0.25299 + 1.45770I
a = 0.371342 + 0.340879I
b = −0.889840 + 0.339869I
2.73935 − 1.44205I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.25299 − 1.45770I
a = 0.371342 − 0.340879I
b = −0.889840 − 0.339869I
2.73935 + 1.44205I 0
u = −1.32821 + 0.69461I
a = 0.01175 − 1.46223I
b = −1.29936 − 0.68644I
−3.4594 + 18.6505I 0
u = −1.32821 − 0.69461I
a = 0.01175 + 1.46223I
b = −1.29936 + 0.68644I
−3.4594 − 18.6505I 0
u = −1.30416 + 0.74302I
a = 0.222241 + 0.523886I
b = 0.781123 − 0.138371I
−0.983804 − 0.893136I 0
u = −1.30416 − 0.74302I
a = 0.222241 − 0.523886I
b = 0.781123 + 0.138371I
−0.983804 + 0.893136I 0
u = 0.065712 + 0.481544I
a = −0.052612 + 0.945417I
b = 0.334016 + 0.340844I
0.707089 + 1.076880I 4.73200 − 5.26476I
u = 0.065712 − 0.481544I
a = −0.052612 − 0.945417I
b = 0.334016 − 0.340844I
0.707089 − 1.076880I 4.73200 + 5.26476I
u = −1.31792 + 0.78965I
a = 0.106183 − 0.905562I
b = −1.221770 − 0.464344I
−2.61168 + 9.55584I 0
u = −1.31792 − 0.78965I
a = 0.106183 + 0.905562I
b = −1.221770 + 0.464344I
−2.61168 − 9.55584I 0
u = −1.45253 + 0.66887I
a = 0.044860 + 1.310230I
b = 1.088320 + 0.554757I
−1.44975 + 8.88875I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.45253 − 0.66887I
a = 0.044860 − 1.310230I
b = 1.088320 − 0.554757I
−1.44975 − 8.88875I 0
u = −0.146393 + 0.303286I
a = 2.33022 − 1.64478I
b = 0.121707 − 0.702495I
0.20217 − 2.39762I 2.80067 + 2.93719I
u = −0.146393 − 0.303286I
a = 2.33022 + 1.64478I
b = 0.121707 + 0.702495I
0.20217 + 2.39762I 2.80067 − 2.93719I
u = 1.67278 + 0.07424I
a = −0.302795 − 0.461913I
b = −0.675695 − 0.428254I
−7.67236 + 5.96387I 0
u = 1.67278 − 0.07424I
a = −0.302795 + 0.461913I
b = −0.675695 + 0.428254I
−7.67236 − 5.96387I 0
u = 0.15618 + 1.97729I
a = −0.202346 + 0.018617I
b = 0.979165 − 0.204325I
0.116311 − 0.699806I 0
u = 0.15618 − 1.97729I
a = −0.202346 − 0.018617I
b = 0.979165 + 0.204325I
0.116311 + 0.699806I 0
15
II.
I
u
2
= h2.45 × 10
8
u
24
− 6.95 × 10
8
u
23
+ · · · + 1.30 × 10
8
b − 1.64 × 10
8
, −9.29 ×
10
9
u
24
+2.19×10
10
u
23
+· · ·+1.30×10
8
a+1.19×10
10
, u
25
−2u
24
+· · ·+2u−1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
10
=
71.4402u
24
− 168.377u
23
+ ··· + 422.826u − 91.5220
−1.88405u
24
+ 5.34290u
23
+ ··· − 3.00018u + 1.26434
a
11
=
50.4042u
24
− 117.902u
23
+ ··· + 297.393u − 64.7613
−6.41737u
24
+ 16.7357u
23
+ ··· − 40.8416u + 9.66707
a
1
=
u
u
a
4
=
−68.2812u
24
+ 196.749u
23
+ ··· − 644.811u + 193.281
5.42990u
24
− 8.79498u
23
+ ··· + 6.33272u + 1.18076
a
3
=
−46.8507u
24
+ 136.870u
23
+ ··· − 454.856u + 135.159
26.8603u
24
− 68.6734u
23
+ ··· + 196.287u − 56.9409
a
9
=
−87.1836u
24
+ 196.568u
23
+ ··· − 462.463u + 90.7930
−6.36834u
24
+ 4.10518u
23
+ ··· + 20.5737u − 14.0614
a
7
=
−29.2290u
24
+ 42.9489u
23
+ ··· + 14.6771u − 43.1831
−53.9897u
24
+ 114.506u
23
+ ··· − 233.641u + 43.7286
a
8
=
67.2328u
24
− 185.134u
23
+ ··· + 569.048u − 172.843
58.0366u
24
− 151.454u
23
+ ··· + 442.251u − 101.964
a
8
=
67.2328u
24
− 185.134u
23
+ ··· + 569.048u − 172.843
58.0366u
24
− 151.454u
23
+ ··· + 442.251u − 101.964
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
19591815370
130021567
u
24
+
57307936648
130021567
u
23
+ ··· −
190001294619
130021567
u +
61319203002
130021567
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
25
+ 2u
24
+ ··· + 2u + 1
c
2
u
25
+ 11u
23
+ ··· − 8u
2
− 1
c
3
u
25
+ 5u
24
+ ··· + 58u + 1
c
4
u
25
− u
24
+ ··· + u − 1
c
5
u
25
− 2u
24
+ ··· + 2u − 1
c
6
u
25
− 3u
24
+ ··· − 5u + 1
c
7
u
25
+ 11u
23
+ ··· + 8u
2
+ 1
c
8
u
25
− 3u
24
+ ··· − 11u + 1
c
9
u
25
+ u
24
+ ··· + u + 1
c
10
u
25
+ u
24
+ ··· − 32u + 4
c
11
u
25
− u
24
+ ··· + 4u − 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
25
− 8y
24
+ ··· + 26y −1
c
2
, c
7
y
25
+ 22y
24
+ ··· − 16y −1
c
3
y
25
+ 3y
24
+ ··· + 2786y −1
c
4
, c
9
y
25
− 15y
24
+ ··· + 15y −1
c
6
y
25
− 11y
24
+ ··· + 17y −1
c
8
y
25
− 13y
24
+ ··· + 9y −1
c
10
y
25
+ 3y
24
+ ··· + 288y −16
c
11
y
25
+ 7y
24
+ ··· + 12y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.961104 + 0.216757I
a = 0.82830 + 1.92200I
b = 0.22906 + 1.67734I
−7.51458 − 0.88315I 16.0452 + 11.7968I
u = 0.961104 − 0.216757I
a = 0.82830 − 1.92200I
b = 0.22906 − 1.67734I
−7.51458 + 0.88315I 16.0452 − 11.7968I
u = −1.027390 + 0.318577I
a = −0.54126 + 1.40585I
b = −0.482227 + 0.574667I
−2.00299 + 2.92583I −3.18488 − 3.98778I
u = −1.027390 − 0.318577I
a = −0.54126 − 1.40585I
b = −0.482227 − 0.574667I
−2.00299 − 2.92583I −3.18488 + 3.98778I
u = −1.050280 + 0.281886I
a = −0.170324 + 0.138425I
b = −0.388666 + 0.514577I
−1.91337 − 1.24200I −0.78565 + 3.08602I
u = −1.050280 − 0.281886I
a = −0.170324 − 0.138425I
b = −0.388666 − 0.514577I
−1.91337 + 1.24200I −0.78565 − 3.08602I
u = −0.804206 + 0.207405I
a = 0.07088 + 2.53312I
b = 0.480000 + 0.331753I
−0.82255 + 2.65916I −1.06086 − 5.07656I
u = −0.804206 − 0.207405I
a = 0.07088 − 2.53312I
b = 0.480000 − 0.331753I
−0.82255 − 2.65916I −1.06086 + 5.07656I
u = 0.224581 + 1.281530I
a = −0.380902 + 0.501253I
b = 0.958613 + 0.241984I
3.26842 + 0.97756I 10.95729 − 1.08442I
u = 0.224581 − 1.281530I
a = −0.380902 − 0.501253I
b = 0.958613 − 0.241984I
3.26842 − 0.97756I 10.95729 + 1.08442I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.606624 + 0.343201I
a = 2.31407 + 3.25632I
b = −0.752649 + 0.270430I
−2.17147 − 6.69375I −0.66320 + 13.27253I
u = 0.606624 − 0.343201I
a = 2.31407 − 3.25632I
b = −0.752649 − 0.270430I
−2.17147 + 6.69375I −0.66320 − 13.27253I
u = 1.146030 + 0.621494I
a = −0.03327 + 1.82480I
b = −1.133180 + 0.499131I
0.09748 − 7.10521I −4.29341 + 8.11109I
u = 1.146030 − 0.621494I
a = −0.03327 − 1.82480I
b = −1.133180 − 0.499131I
0.09748 + 7.10521I −4.29341 − 8.11109I
u = 0.662687
a = 1.16530
b = 1.75227
6.20286 27.6530
u = −1.243710 + 0.518011I
a = −0.078461 + 1.321280I
b = 1.253580 + 0.546810I
−3.08291 + 7.79645I −1.39726 − 5.63068I
u = −1.243710 − 0.518011I
a = −0.078461 − 1.321280I
b = 1.253580 − 0.546810I
−3.08291 − 7.79645I −1.39726 + 5.63068I
u = −0.542151 + 0.004934I
a = −1.05258 − 1.72005I
b = −1.45499 + 0.00870I
0.97373 − 4.98760I 0.46119 + 5.79323I
u = −0.542151 − 0.004934I
a = −1.05258 + 1.72005I
b = −1.45499 − 0.00870I
0.97373 + 4.98760I 0.46119 − 5.79323I
u = 0.487288 + 0.127615I
a = −1.96339 − 0.21626I
b = 1.326810 + 0.164938I
3.56108 + 3.01382I 10.68140 − 1.21294I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.487288 − 0.127615I
a = −1.96339 + 0.21626I
b = 1.326810 − 0.164938I
3.56108 − 3.01382I 10.68140 + 1.21294I
u = 1.53369 + 0.11612I
a = 0.720611 + 0.425034I
b = 0.589988 + 0.052896I
−6.81295 − 5.14573I 3.72477 + 8.12914I
u = 1.53369 − 0.11612I
a = 0.720611 − 0.425034I
b = 0.589988 − 0.052896I
−6.81295 + 5.14573I 3.72477 − 8.12914I
u = 0.37707 + 1.88086I
a = 0.203670 + 0.006984I
b = −1.002470 + 0.211304I
0.159233 − 0.694810I 0
u = 0.37707 − 1.88086I
a = 0.203670 − 0.006984I
b = −1.002470 − 0.211304I
0.159233 + 0.694810I 0
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
25
+ 2u
24
+ ··· + 2u + 1)(u
107
+ 3u
106
+ ··· − 10305u − 1139)
c
2
(u
25
+ 11u
23
+ ··· − 8u
2
− 1)(u
107
+ u
106
+ ··· − 73u + 151)
c
3
(u
25
+ 5u
24
+ ··· + 58u + 1)
· (u
107
− 6u
106
+ ··· − 6634767u + 1340716)
c
4
(u
25
− u
24
+ ··· + u − 1)(u
107
+ 2u
106
+ ··· + 282u + 193)
c
5
(u
25
− 2u
24
+ ··· + 2u − 1)(u
107
+ 3u
106
+ ··· − 10305u − 1139)
c
6
(u
25
− 3u
24
+ ··· − 5u + 1)(u
107
+ 16u
106
+ ··· − 24u − 4)
c
7
(u
25
+ 11u
23
+ ··· + 8u
2
+ 1)(u
107
+ u
106
+ ··· − 73u + 151)
c
8
(u
25
− 3u
24
+ ··· − 11u + 1)(u
107
− 8u
106
+ ··· + 29u − 2)
c
9
(u
25
+ u
24
+ ··· + u + 1)(u
107
+ 2u
106
+ ··· + 282u + 193)
c
10
(u
25
+ u
24
+ ··· − 32u + 4)(u
107
− 2u
106
+ ··· − 10504u + 844)
c
11
(u
25
− u
24
+ ··· + 4u − 1)(u
107
+ 2u
106
+ ··· − 26229u − 6833)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
25
− 8y
24
+ ··· + 26y −1)
· (y
107
− 55y
106
+ ··· + 22754441y −1297321)
c
2
, c
7
(y
25
+ 22y
24
+ ··· − 16y −1)(y
107
+ 75y
106
+ ··· − 624341y −22801)
c
3
(y
25
+ 3y
24
+ ··· + 2786y −1)
· (y
107
− 24y
106
+ ··· + 2724074633153y −1797519392656)
c
4
, c
9
(y
25
− 15y
24
+ ··· + 15y −1)(y
107
− 58y
106
+ ··· + 979290y −37249)
c
6
(y
25
− 11y
24
+ ··· + 17y −1)(y
107
− 6y
106
+ ··· + 664y −16)
c
8
(y
25
− 13y
24
+ ··· + 9y −1)(y
107
− 16y
106
+ ··· − 35y −4)
c
10
(y
25
+ 3y
24
+ ··· + 288y −16)
· (y
107
− 4y
106
+ ··· + 49093376y −712336)
c
11
(y
25
+ 7y
24
+ ··· + 12y −1)
· (y
107
− 16y
106
+ ··· + 957467627y −46689889)
23
