11a
286
(K11a
286
)
A knot diagram
1
Linearized knot diagam
6 8 1 11 2 10 5 3 4 7 9
Solving Sequence
2,8
3
6,9
1 4 10 5 7 11
c
2
c
8
c
1
c
3
c
9
c
5
c
7
c
11
c
4
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.55234 × 10
267
u
88
− 4.31282 × 10
267
u
87
+ ··· + 1.32472 × 10
270
b − 3.32772 × 10
270
,
− 9.22601 × 10
271
u
88
+ 1.62321 × 10
271
u
87
+ ··· + 5.74253 × 10
274
a − 3.46330 × 10
275
,
u
89
+ 2u
88
+ ··· − 1333u + 647i
I
u
2
= h−5635742u
22
+ 8544802u
21
+ ··· + 1559171b − 7785518,
− 175768102u
22
+ 289559314u
21
+ ··· + 45215959a − 268721385, u
23
− u
22
+ ··· + 3u + 1i
I
u
3
= h−u
2
+ b, a − 1, u
6
+ u
5
− 1i
I
u
4
= hb − 1, a − 1, u − 1i
* 4 irreducible components of dim
C
= 0, with total 119 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−1.55 × 10
267
u
88
− 4.31 × 10
267
u
87
+ · · · + 1.32 × 10
270
b − 3.33 ×
10
270
, −9.23 × 10
271
u
88
+ 1.62 × 10
271
u
87
+ · · · + 5.74 × 10
274
a − 3.46 ×
10
275
, u
89
+ 2u
88
+ · · · − 1333u + 647i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
u
2
a
6
=
0.00160661u
88
− 0.000282665u
87
+ ··· − 11.9326u + 6.03096
0.00117182u
88
+ 0.00325564u
87
+ ··· + 3.24187u + 2.51202
a
9
=
−u
−u
3
+ u
a
1
=
0.00318081u
88
+ 0.00410332u
87
+ ··· + 3.56991u + 5.20178
0.00290796u
88
+ 0.00391365u
87
+ ··· − 7.38301u + 2.72421
a
4
=
−0.00181149u
88
− 0.00607733u
87
+ ··· − 12.3004u + 7.55856
0.00916924u
88
+ 0.0106604u
87
+ ··· − 4.14988u + 0.678788
a
10
=
0.00119620u
88
− 0.00157570u
87
+ ··· − 8.00639u − 3.80599
−0.00146737u
88
+ 0.00122998u
87
+ ··· + 10.8586u − 0.0804670
a
5
=
0.000434788u
88
− 0.00353831u
87
+ ··· − 15.1744u + 3.51894
0.00117182u
88
+ 0.00325564u
87
+ ··· + 3.24187u + 2.51202
a
7
=
0.00590099u
88
− 0.00142517u
87
+ ··· − 16.2111u + 13.2628
−0.000356025u
88
− 0.000216007u
87
+ ··· + 2.84127u − 0.176532
a
11
=
0.00351260u
88
+ 0.00181198u
87
+ ··· + 1.84399u + 5.88592
0.00567299u
88
+ 0.00695895u
87
+ ··· − 9.81067u + 3.95191
a
11
=
0.00351260u
88
+ 0.00181198u
87
+ ··· + 1.84399u + 5.88592
0.00567299u
88
+ 0.00695895u
87
+ ··· − 9.81067u + 3.95191
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0524832u
88
+ 0.137268u
87
+ ··· + 11.5462u − 2.46166
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
89
− 2u
88
+ ··· + 90320u + 7513
c
2
, c
8
u
89
− 2u
88
+ ··· − 1333u − 647
c
3
u
89
− 11u
88
+ ··· + 527u − 23
c
4
u
89
− 5u
88
+ ··· + 635519u + 52123
c
6
, c
10
u
89
− 5u
88
+ ··· − 2896u + 424
c
7
u
89
− 6u
88
+ ··· + 521820u + 24583
c
9
u
89
+ u
88
+ ··· − 19u − 1
c
11
u
89
+ 14u
88
+ ··· − 5718u − 557
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
89
+ 64y
88
+ ··· − 300613312y −56445169
c
2
, c
8
y
89
− 80y
88
+ ··· + 3896461y −418609
c
3
y
89
− 21y
88
+ ··· + 57481y −529
c
4
y
89
+ 31y
88
+ ··· − 29419728923y −2716807129
c
6
, c
10
y
89
− 61y
88
+ ··· + 3809312y −179776
c
7
y
89
− 42y
88
+ ··· + 387303203794y −604323889
c
9
y
89
+ y
88
+ ··· + 201y −1
c
11
y
89
+ 6y
88
+ ··· − 11245092y −310249
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.852038 + 0.573966I
a = 0.153177 + 0.809297I
b = 0.419729 + 0.323128I
1.05660 + 4.06132I 0
u = −0.852038 − 0.573966I
a = 0.153177 − 0.809297I
b = 0.419729 − 0.323128I
1.05660 − 4.06132I 0
u = −0.864849 + 0.385795I
a = 0.241214 + 0.307598I
b = −0.308549 − 0.832916I
−2.04087 + 4.73072I 0
u = −0.864849 − 0.385795I
a = 0.241214 − 0.307598I
b = −0.308549 + 0.832916I
−2.04087 − 4.73072I 0
u = 0.932246
a = 1.02505
b = 0.898656
−1.64367 0
u = −1.140430 + 0.113727I
a = 0.33690 − 2.20649I
b = 0.270332 − 1.071420I
−3.93177 − 3.22400I 0
u = −1.140430 − 0.113727I
a = 0.33690 + 2.20649I
b = 0.270332 + 1.071420I
−3.93177 + 3.22400I 0
u = 1.15466
a = −1.55856
b = −2.53211
−3.85286 0
u = −0.460947 + 0.694535I
a = 1.310850 + 0.249643I
b = −0.575229 + 0.865518I
−2.26703 − 4.51831I −7.03491 + 7.29654I
u = −0.460947 − 0.694535I
a = 1.310850 − 0.249643I
b = −0.575229 − 0.865518I
−2.26703 + 4.51831I −7.03491 − 7.29654I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.182030 + 0.111716I
a = 0.026577 + 1.131400I
b = −1.10640 + 1.13771I
−4.32016 − 0.46135I 0
u = 1.182030 − 0.111716I
a = 0.026577 − 1.131400I
b = −1.10640 − 1.13771I
−4.32016 + 0.46135I 0
u = 1.052700 + 0.579893I
a = 0.240171 − 0.373271I
b = 0.470747 + 0.682507I
−3.68792 − 5.17721I 0
u = 1.052700 − 0.579893I
a = 0.240171 + 0.373271I
b = 0.470747 − 0.682507I
−3.68792 + 5.17721I 0
u = −0.071192 + 0.780803I
a = 0.333783 + 0.327684I
b = 0.391335 − 1.253760I
−4.73333 − 5.13676I −4.79385 + 5.15866I
u = −0.071192 − 0.780803I
a = 0.333783 − 0.327684I
b = 0.391335 + 1.253760I
−4.73333 + 5.13676I −4.79385 − 5.15866I
u = −1.199700 + 0.267696I
a = −0.57353 + 2.82272I
b = 0.248725 + 1.041230I
−4.66601 + 8.00242I 0
u = −1.199700 − 0.267696I
a = −0.57353 − 2.82272I
b = 0.248725 − 1.041230I
−4.66601 − 8.00242I 0
u = 1.230640 + 0.151026I
a = 0.22441 − 2.56579I
b = −0.015718 − 1.171970I
−3.86110 − 3.68592I 0
u = 1.230640 − 0.151026I
a = 0.22441 + 2.56579I
b = −0.015718 + 1.171970I
−3.86110 + 3.68592I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.079021 + 0.755009I
a = −0.128272 + 0.963419I
b = 0.465479 + 0.267566I
1.72367 − 2.29628I 3.71613 + 2.24479I
u = −0.079021 − 0.755009I
a = −0.128272 − 0.963419I
b = 0.465479 − 0.267566I
1.72367 + 2.29628I 3.71613 − 2.24479I
u = 1.196310 + 0.362225I
a = 0.55811 + 1.69107I
b = −0.036092 + 1.244670I
−2.45733 − 2.24802I 0
u = 1.196310 − 0.362225I
a = 0.55811 − 1.69107I
b = −0.036092 − 1.244670I
−2.45733 + 2.24802I 0
u = 0.241520 + 0.705539I
a = 0.561680 + 0.619181I
b = −0.448846 + 0.907434I
−0.10593 − 2.04444I −0.54024 + 1.85851I
u = 0.241520 − 0.705539I
a = 0.561680 − 0.619181I
b = −0.448846 − 0.907434I
−0.10593 + 2.04444I −0.54024 − 1.85851I
u = 1.254720 + 0.193546I
a = −1.25537 − 1.97728I
b = 0.34988 − 1.39556I
−10.28340 − 7.12902I 0
u = 1.254720 − 0.193546I
a = −1.25537 + 1.97728I
b = 0.34988 + 1.39556I
−10.28340 + 7.12902I 0
u = −0.132492 + 0.716499I
a = −0.803385 − 1.144180I
b = 0.776012 − 0.148345I
−1.40662 + 7.25464I −0.22956 − 5.72658I
u = −0.132492 − 0.716499I
a = −0.803385 + 1.144180I
b = 0.776012 + 0.148345I
−1.40662 − 7.25464I −0.22956 + 5.72658I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.256780 + 0.206876I
a = 0.107803 + 0.278625I
b = 0.709738 + 0.096912I
−2.93694 − 0.72659I 0
u = 1.256780 − 0.206876I
a = 0.107803 − 0.278625I
b = 0.709738 − 0.096912I
−2.93694 + 0.72659I 0
u = −1.239310 + 0.307173I
a = −0.218426 − 0.116452I
b = −1.010900 − 0.191078I
−1.88883 + 6.12044I 0
u = −1.239310 − 0.307173I
a = −0.218426 + 0.116452I
b = −1.010900 + 0.191078I
−1.88883 − 6.12044I 0
u = −1.316330 + 0.145004I
a = −0.83559 + 1.75114I
b = 0.345027 + 1.209400I
−6.82739 + 3.05153I 0
u = −1.316330 − 0.145004I
a = −0.83559 − 1.75114I
b = 0.345027 − 1.209400I
−6.82739 − 3.05153I 0
u = 0.323659 + 1.290170I
a = −0.300857 − 0.474785I
b = 0.408181 − 1.257460I
−4.92720 − 11.64780I 0
u = 0.323659 − 1.290170I
a = −0.300857 + 0.474785I
b = 0.408181 + 1.257460I
−4.92720 + 11.64780I 0
u = −1.285120 + 0.344331I
a = 0.42059 − 1.68169I
b = −0.69616 − 1.58229I
−8.56762 + 9.22585I 0
u = −1.285120 − 0.344331I
a = 0.42059 + 1.68169I
b = −0.69616 + 1.58229I
−8.56762 − 9.22585I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.333260 + 0.204732I
a = −0.268514 − 0.987311I
b = 0.426156 − 0.228140I
−5.12513 − 3.72904I 0
u = −1.333260 − 0.204732I
a = −0.268514 + 0.987311I
b = 0.426156 + 0.228140I
−5.12513 + 3.72904I 0
u = −0.373108 + 0.519453I
a = 0.076492 − 0.229569I
b = −0.439650 − 1.132350I
−1.75401 + 4.66861I −3.95549 − 9.85438I
u = −0.373108 − 0.519453I
a = 0.076492 + 0.229569I
b = −0.439650 + 1.132350I
−1.75401 − 4.66861I −3.95549 + 9.85438I
u = −1.365130 + 0.048947I
a = 0.21768 − 1.79307I
b = −0.44410 − 1.71034I
−12.00710 − 3.71517I 0
u = −1.365130 − 0.048947I
a = 0.21768 + 1.79307I
b = −0.44410 + 1.71034I
−12.00710 + 3.71517I 0
u = −0.513263 + 0.358386I
a = −0.104949 − 0.154317I
b = −0.688586 + 0.010479I
1.74565 − 0.14077I 6.71794 − 0.03002I
u = −0.513263 − 0.358386I
a = −0.104949 + 0.154317I
b = −0.688586 − 0.010479I
1.74565 + 0.14077I 6.71794 + 0.03002I
u = −1.353050 + 0.301704I
a = −0.168686 + 0.322744I
b = 0.878008 + 0.147788I
−7.00043 + 3.54336I 0
u = −1.353050 − 0.301704I
a = −0.168686 − 0.322744I
b = 0.878008 − 0.147788I
−7.00043 − 3.54336I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.362100 + 0.305948I
a = −0.467165 + 0.154943I
b = −1.383160 − 0.037295I
−6.17185 − 10.98280I 0
u = 1.362100 − 0.305948I
a = −0.467165 − 0.154943I
b = −1.383160 + 0.037295I
−6.17185 + 10.98280I 0
u = 1.372990 + 0.265161I
a = −1.07478 − 1.31489I
b = 0.037344 − 1.207550I
−9.43005 + 1.38809I 0
u = 1.372990 − 0.265161I
a = −1.07478 + 1.31489I
b = 0.037344 + 1.207550I
−9.43005 − 1.38809I 0
u = −1.41181 + 0.13858I
a = −0.79558 + 1.22268I
b = 0.360823 + 0.845249I
−7.40365 + 2.74871I 0
u = −1.41181 − 0.13858I
a = −0.79558 − 1.22268I
b = 0.360823 − 0.845249I
−7.40365 − 2.74871I 0
u = 0.202494 + 0.537617I
a = 0.687900 + 0.642570I
b = −0.821642 + 0.600623I
0.63479 − 2.64472I 3.76538 + 7.23337I
u = 0.202494 − 0.537617I
a = 0.687900 − 0.642570I
b = −0.821642 − 0.600623I
0.63479 + 2.64472I 3.76538 − 7.23337I
u = 0.19928 + 1.41866I
a = 0.137053 − 0.471791I
b = −0.086645 − 1.246190I
−6.97471 + 1.04418I 0
u = 0.19928 − 1.41866I
a = 0.137053 + 0.471791I
b = −0.086645 + 1.246190I
−6.97471 − 1.04418I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.41609 + 0.24412I
a = −0.24700 − 1.97888I
b = 0.53060 − 1.59105I
−7.38451 − 7.68123I 0
u = 1.41609 − 0.24412I
a = −0.24700 + 1.97888I
b = 0.53060 + 1.59105I
−7.38451 + 7.68123I 0
u = −1.41117 + 0.27924I
a = −0.33375 + 1.93377I
b = 0.541321 + 1.258050I
−5.39933 + 5.66695I 0
u = −1.41117 − 0.27924I
a = −0.33375 − 1.93377I
b = 0.541321 − 1.258050I
−5.39933 − 5.66695I 0
u = −0.43093 + 1.40029I
a = −0.148517 + 0.592462I
b = 0.216028 + 1.126670I
−0.71982 + 5.03191I 0
u = −0.43093 − 1.40029I
a = −0.148517 − 0.592462I
b = 0.216028 − 1.126670I
−0.71982 − 5.03191I 0
u = 0.278418 + 0.397158I
a = 1.85980 − 0.36612I
b = 0.220789 + 1.049910I
−1.94443 − 1.16051I −8.28120 + 3.09928I
u = 0.278418 − 0.397158I
a = 1.85980 + 0.36612I
b = 0.220789 − 1.049910I
−1.94443 + 1.16051I −8.28120 − 3.09928I
u = 1.51819 + 0.01038I
a = −0.078070 − 1.302700I
b = 0.70193 − 1.31950I
−9.89843 − 2.36013I 0
u = 1.51819 − 0.01038I
a = −0.078070 + 1.302700I
b = 0.70193 + 1.31950I
−9.89843 + 2.36013I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.361562 + 0.290388I
a = 2.25359 − 1.31788I
b = −0.291328 − 0.828254I
−0.94779 + 1.89530I −4.39069 − 2.15362I
u = 0.361562 − 0.290388I
a = 2.25359 + 1.31788I
b = −0.291328 + 0.828254I
−0.94779 − 1.89530I −4.39069 + 2.15362I
u = 0.179986 + 0.366303I
a = 0.06258 + 2.02439I
b = −0.028653 − 1.366540I
−6.89196 + 4.94443I −7.37178 − 6.12031I
u = 0.179986 − 0.366303I
a = 0.06258 − 2.02439I
b = −0.028653 + 1.366540I
−6.89196 − 4.94443I −7.37178 + 6.12031I
u = 0.299965 + 0.271463I
a = 2.74186 − 0.45958I
b = 0.474187 + 0.532452I
−1.90117 − 0.90020I −1.84066 + 5.54903I
u = 0.299965 − 0.271463I
a = 2.74186 + 0.45958I
b = 0.474187 − 0.532452I
−1.90117 + 0.90020I −1.84066 − 5.54903I
u = −1.52376 + 0.47907I
a = 0.43599 − 1.49110I
b = −0.24746 − 1.54545I
−12.75350 + 5.38634I 0
u = −1.52376 − 0.47907I
a = 0.43599 + 1.49110I
b = −0.24746 + 1.54545I
−12.75350 − 5.38634I 0
u = −1.52091 + 0.50360I
a = 0.53545 − 1.59399I
b = −0.61700 − 1.45275I
−10.7248 + 17.8936I 0
u = −1.52091 − 0.50360I
a = 0.53545 + 1.59399I
b = −0.61700 + 1.45275I
−10.7248 − 17.8936I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.53532 + 0.49059I
a = 0.45660 + 1.58099I
b = −0.46555 + 1.40767I
−6.85583 − 11.41460I 0
u = 1.53532 − 0.49059I
a = 0.45660 − 1.58099I
b = −0.46555 − 1.40767I
−6.85583 + 11.41460I 0
u = 1.50335 + 0.63087I
a = −0.73529 − 1.32480I
b = 0.45505 − 1.34065I
−11.4797 − 8.3874I 0
u = 1.50335 − 0.63087I
a = −0.73529 + 1.32480I
b = 0.45505 + 1.34065I
−11.4797 + 8.3874I 0
u = −0.334805
a = −1.05379
b = −0.926511
1.70882 9.76890
u = −1.81736 + 0.32532I
a = −0.251709 + 1.363850I
b = 0.310179 + 1.083130I
−5.71088 + 4.56681I 0
u = −1.81736 − 0.32532I
a = −0.251709 − 1.363850I
b = 0.310179 − 1.083130I
−5.71088 − 4.56681I 0
u = 1.85103 + 1.12986I
a = −0.289754 − 0.951959I
b = −0.015947 − 1.191150I
−8.07483 + 3.02853I 0
u = 1.85103 − 1.12986I
a = −0.289754 + 0.951959I
b = −0.015947 + 1.191150I
−8.07483 − 3.02853I 0
13
II.
I
u
2
= h−5.64 × 10
6
u
22
+ 8.54 × 10
6
u
21
+ · · · + 1.56 × 10
6
b − 7.79 × 10
6
, −1.76 ×
10
8
u
22
+ 2.90× 10
8
u
21
+ · · · + 4.52 × 10
7
a −2.69 × 10
8
, u
23
− u
22
+ · · · + 3u + 1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
u
2
a
6
=
3.88730u
22
− 6.40392u
21
+ ··· + 6.10173u + 5.94307
3.61458u
22
− 5.48035u
21
+ ··· + 6.55939u + 4.99337
a
9
=
−u
−u
3
+ u
a
1
=
−9.75063u
22
+ 15.9703u
21
+ ··· − 20.3818u − 14.5067
−5.15419u
22
+ 7.69996u
21
+ ··· − 9.04251u − 8.53914
a
4
=
0.860108u
22
− 2.17125u
21
+ ··· + 1.32111u + 2.99146
1.96857u
22
− 3.44559u
21
+ ··· + 7.17413u + 4.61190
a
10
=
2.25457u
22
− 2.73544u
21
+ ··· + 9.65028u + 5.80119
−0.221818u
22
− 0.598982u
21
+ ··· + 3.63548u − 0.384714
a
5
=
0.272726u
22
− 0.923569u
21
+ ··· − 0.457661u + 0.949695
3.61458u
22
− 5.48035u
21
+ ··· + 6.55939u + 4.99337
a
7
=
3.84287u
22
− 5.87490u
21
+ ··· + 12.0397u + 7.26475
3.67394u
22
− 5.98395u
21
+ ··· + 7.82178u + 4.59644
a
11
=
−5.52198u
22
+ 9.35888u
21
+ ··· − 11.4172u − 7.83340
−8.16975u
22
+ 12.4932u
21
+ ··· − 15.0873u − 12.8296
a
11
=
−5.52198u
22
+ 9.35888u
21
+ ··· − 11.4172u − 7.83340
−8.16975u
22
+ 12.4932u
21
+ ··· − 15.0873u − 12.8296
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1300268560
45215959
u
22
−
1926516261
45215959
u
21
+ ··· +
2563124848
45215959
u +
1734379105
45215959
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
23
− u
22
+ ··· + 4u + 1
c
2
u
23
− u
22
+ ··· + 3u + 1
c
3
u
23
+ 4u
22
+ ··· − 5u − 1
c
4
u
23
− 5u
21
+ ··· − 3u − 1
c
5
u
23
+ u
22
+ ··· + 4u − 1
c
6
u
23
− u
22
+ ··· + 10u
2
− 1
c
7
u
23
+ 7u
22
+ ··· − 16u − 1
c
8
u
23
+ u
22
+ ··· + 3u − 1
c
9
u
23
− 4u
21
+ ··· − 11u − 1
c
10
u
23
+ u
22
+ ··· − 10u
2
+ 1
c
11
u
23
+ 3u
22
+ ··· + 4u
2
+ 1
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
23
+ 7y
22
+ ··· − 20y −1
c
2
, c
8
y
23
− 21y
22
+ ··· + 13y −1
c
3
y
23
− 10y
22
+ ··· + 25y −1
c
4
y
23
− 10y
22
+ ··· + 9y −1
c
6
, c
10
y
23
− 19y
22
+ ··· + 20y −1
c
7
y
23
− 3y
22
+ ··· + 110y −1
c
9
y
23
− 8y
22
+ ··· + 113y −1
c
11
y
23
− 15y
22
+ ··· − 8y −1
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.630651 + 0.854297I
a = −0.094529 + 0.709026I
b = −0.184912 + 0.808421I
0.05303 − 3.91099I −2.75122 + 4.60695I
u = 0.630651 − 0.854297I
a = −0.094529 − 0.709026I
b = −0.184912 − 0.808421I
0.05303 + 3.91099I −2.75122 − 4.60695I
u = 1.003000 + 0.396548I
a = 0.493252 − 0.717433I
b = −0.055302 + 0.558834I
−1.59422 − 4.11932I −0.560459 + 0.340619I
u = 1.003000 − 0.396548I
a = 0.493252 + 0.717433I
b = −0.055302 − 0.558834I
−1.59422 + 4.11932I −0.560459 − 0.340619I
u = −0.842995 + 0.305076I
a = −1.31881 + 1.05272I
b = −0.204156 − 0.489118I
−3.47368 + 6.95172I −5.25578 − 7.32648I
u = −0.842995 − 0.305076I
a = −1.31881 − 1.05272I
b = −0.204156 + 0.489118I
−3.47368 − 6.95172I −5.25578 + 7.32648I
u = −1.16613
a = 1.39051
b = 2.35416
−3.87496 −137.350
u = 0.554636 + 0.585064I
a = 1.374680 − 0.277665I
b = −0.268705 + 0.748468I
−0.368655 + 0.196161I 1.78721 − 0.45381I
u = 0.554636 − 0.585064I
a = 1.374680 + 0.277665I
b = −0.268705 − 0.748468I
−0.368655 − 0.196161I 1.78721 + 0.45381I
u = 1.21136
a = 1.14701
b = 1.44986
−0.859220 7.75880
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.707756
a = 0.0211065
b = −0.941139
1.15241 −6.22780
u = 1.272540 + 0.316944I
a = −0.83909 − 1.88056I
b = 0.39854 − 1.49967I
−9.18524 − 7.46529I −7.34374 + 6.20076I
u = 1.272540 − 0.316944I
a = −0.83909 + 1.88056I
b = 0.39854 + 1.49967I
−9.18524 + 7.46529I −7.34374 − 6.20076I
u = −1.373110 + 0.241369I
a = −0.27133 + 2.14871I
b = 0.478693 + 1.276680I
−5.69972 + 6.16283I −9.71862 − 9.80694I
u = −1.373110 − 0.241369I
a = −0.27133 − 2.14871I
b = 0.478693 − 1.276680I
−5.69972 − 6.16283I −9.71862 + 9.80694I
u = −0.596714 + 0.039370I
a = −2.22860 + 1.10257I
b = −0.837704 + 0.699468I
−2.16702 + 0.60681I −20.7625 + 8.3028I
u = −0.596714 − 0.039370I
a = −2.22860 − 1.10257I
b = −0.837704 − 0.699468I
−2.16702 − 0.60681I −20.7625 − 8.3028I
u = −0.261386 + 0.292165I
a = 2.27340 + 0.35361I
b = −0.520197 + 0.952893I
−1.40097 − 3.70332I −0.97303 + 2.30575I
u = −0.261386 − 0.292165I
a = 2.27340 − 0.35361I
b = −0.520197 − 0.952893I
−1.40097 + 3.70332I −0.97303 − 2.30575I
u = 1.41940 + 0.87852I
a = −0.411048 − 0.844626I
b = 0.023112 − 1.217960I
−7.75684 + 2.66139I −6.39622 + 1.22040I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.41940 − 0.87852I
a = −0.411048 + 0.844626I
b = 0.023112 + 1.217960I
−7.75684 − 2.66139I −6.39622 − 1.22040I
u = −1.68251 + 0.14469I
a = −0.25724 − 1.49784I
b = 0.239188 − 0.899605I
−6.09421 − 3.92079I −12.11646 + 2.85312I
u = −1.68251 − 0.14469I
a = −0.25724 + 1.49784I
b = 0.239188 + 0.899605I
−6.09421 + 3.92079I −12.11646 − 2.85312I
19
III. I
u
3
= h−u
2
+ b, a − 1, u
6
+ u
5
− 1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
u
2
a
6
=
1
u
2
a
9
=
−u
−u
3
+ u
a
1
=
u
2
+ 1
u
4
a
4
=
−u
4
− u
2
+ 1
u
5
+ u
2
− 1
a
10
=
u
5
− 2u
3
+ u − 1
−u
5
+ u
3
− u
2
+ u
a
5
=
−u
2
+ 1
u
2
a
7
=
u
5
− 2u
3
+ u
−u
5
+ u
3
+ u
a
11
=
1
u
2
a
11
=
1
u
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
5
u
6
+ u
5
+ 2u
3
+ 1
c
2
, c
8
, c
11
u
6
− u
5
− 1
c
4
u
6
+ u
5
− 4u
4
+ 2u
3
+ 1
c
6
, c
10
(u + 1)
6
c
7
, c
9
u
6
− 3u
4
− 4u
3
+ 4u
2
+ 6u + 1
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
5
y
6
− y
5
− 4y
4
− 2y
3
+ 1
c
2
, c
8
, c
11
y
6
− y
5
− 2y
3
+ 1
c
4
y
6
− 9y
5
+ 12y
4
− 2y
3
− 8y
2
+ 1
c
6
, c
10
(y −1)
6
c
7
, c
9
y
6
− 6y
5
+ 17y
4
− 38y
3
+ 58y
2
− 28y + 1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.671369 + 0.784851I
a = 1.00000
b = −0.165255 − 1.053850I
−1.64493 −6.00000
u = −0.671369 − 0.784851I
a = 1.00000
b = −0.165255 + 1.053850I
−1.64493 −6.00000
u = 0.373333 + 0.829645I
a = 1.00000
b = −0.548933 + 0.619467I
−1.64493 −6.00000
u = 0.373333 − 0.829645I
a = 1.00000
b = −0.548933 − 0.619467I
−1.64493 −6.00000
u = 0.881271
a = 1.00000
b = 0.776639
−1.64493 −6.00000
u = −1.28520
a = 1.00000
b = 1.65174
−1.64493 −6.00000
23
IV. I
u
4
= hb − 1, a − 1, u − 1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
1
a
3
=
1
1
a
6
=
1
1
a
9
=
−1
0
a
1
=
2
1
a
4
=
−1
0
a
10
=
−1
0
a
5
=
0
1
a
7
=
0
1
a
11
=
1
1
a
11
=
1
1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6
24
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
8
, c
10
, c
11
u + 1
c
7
, c
9
u
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
8
, c
10
, c
11
y −1
c
7
, c
9
y
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = 1.00000
b = 1.00000
−1.64493 −6.00000
27
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u + 1)(u
6
+ u
5
+ 2u
3
+ 1)(u
23
− u
22
+ ··· + 4u + 1)
· (u
89
− 2u
88
+ ··· + 90320u + 7513)
c
2
(u + 1)(u
6
− u
5
− 1)(u
23
− u
22
+ ··· + 3u + 1)
· (u
89
− 2u
88
+ ··· − 1333u − 647)
c
3
(u + 1)(u
6
+ u
5
+ 2u
3
+ 1)(u
23
+ 4u
22
+ ··· − 5u − 1)
· (u
89
− 11u
88
+ ··· + 527u − 23)
c
4
(u + 1)(u
6
+ u
5
− 4u
4
+ 2u
3
+ 1)(u
23
− 5u
21
+ ··· − 3u − 1)
· (u
89
− 5u
88
+ ··· + 635519u + 52123)
c
5
(u + 1)(u
6
+ u
5
+ 2u
3
+ 1)(u
23
+ u
22
+ ··· + 4u − 1)
· (u
89
− 2u
88
+ ··· + 90320u + 7513)
c
6
((u + 1)
7
)(u
23
− u
22
+ ··· + 10u
2
− 1)(u
89
− 5u
88
+ ··· − 2896u + 424)
c
7
u(u
6
− 3u
4
+ ··· + 6u + 1)(u
23
+ 7u
22
+ ··· − 16u − 1)
· (u
89
− 6u
88
+ ··· + 521820u + 24583)
c
8
(u + 1)(u
6
− u
5
− 1)(u
23
+ u
22
+ ··· + 3u − 1)
· (u
89
− 2u
88
+ ··· − 1333u − 647)
c
9
u(u
6
− 3u
4
+ ··· + 6u + 1)(u
23
− 4u
21
+ ··· − 11u − 1)
· (u
89
+ u
88
+ ··· − 19u − 1)
c
10
((u + 1)
7
)(u
23
+ u
22
+ ··· − 10u
2
+ 1)(u
89
− 5u
88
+ ··· − 2896u + 424)
c
11
(u + 1)(u
6
− u
5
− 1)(u
23
+ 3u
22
+ ··· + 4u
2
+ 1)
· (u
89
+ 14u
88
+ ··· − 5718u − 557)
28
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y −1)(y
6
− y
5
− 4y
4
− 2y
3
+ 1)(y
23
+ 7y
22
+ ··· − 20y −1)
· (y
89
+ 64y
88
+ ··· − 300613312y −56445169)
c
2
, c
8
(y −1)(y
6
− y
5
− 2y
3
+ 1)(y
23
− 21y
22
+ ··· + 13y −1)
· (y
89
− 80y
88
+ ··· + 3896461y −418609)
c
3
(y −1)(y
6
− y
5
− 4y
4
− 2y
3
+ 1)(y
23
− 10y
22
+ ··· + 25y −1)
· (y
89
− 21y
88
+ ··· + 57481y −529)
c
4
(y −1)(y
6
− 9y
5
+ ··· − 8y
2
+ 1)(y
23
− 10y
22
+ ··· + 9y −1)
· (y
89
+ 31y
88
+ ··· − 29419728923y −2716807129)
c
6
, c
10
((y −1)
7
)(y
23
− 19y
22
+ ··· + 20y −1)
· (y
89
− 61y
88
+ ··· + 3809312y −179776)
c
7
y(y
6
− 6y
5
+ 17y
4
− 38y
3
+ 58y
2
− 28y + 1)
· (y
23
− 3y
22
+ ··· + 110y −1)
· (y
89
− 42y
88
+ ··· + 387303203794y −604323889)
c
9
y(y
6
− 6y
5
+ 17y
4
− 38y
3
+ 58y
2
− 28y + 1)
· (y
23
− 8y
22
+ ··· + 113y −1)(y
89
+ y
88
+ ··· + 201y −1)
c
11
(y −1)(y
6
− y
5
− 2y
3
+ 1)(y
23
− 15y
22
+ ··· − 8y −1)
· (y
89
+ 6y
88
+ ··· − 11245092y −310249)
29
