12n
0784
(K12n
0784
)
A knot diagram
1
Linearized knot diagam
4 7 9 12 11 3 5 3 1 8 7 10
Solving Sequence
7,11 3,12
2 6 5 8 9 4 1 10
c
11
c
2
c
6
c
5
c
7
c
8
c
4
c
1
c
10
c
3
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.76991 × 10
683
u
96
− 1.11129 × 10
684
u
95
+ ··· + 2.93219 × 10
689
b − 1.43801 × 10
689
,
− 3.81255 × 10
687
u
96
− 1.08815 × 10
688
u
95
+ ··· + 3.67491 × 10
692
a − 3.18684 × 10
693
,
u
97
+ 3u
96
+ ··· − 326815u + 423614i
I
u
2
= h−2.33693 × 10
55
u
35
− 1.33989 × 10
54
u
34
+ ··· + 2.94617 × 10
55
b + 8.02253 × 10
54
,
− 7.16188 × 10
55
u
35
− 1.46151 × 10
55
u
34
+ ··· + 2.94617 × 10
55
a + 9.34411 × 10
55
, u
36
− 7u
34
+ ··· − 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 133 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−3.77 × 10
683
u
96
− 1.11 × 10
684
u
95
+ · · · + 2.93 × 10
689
b − 1.44 ×
10
689
, −3.81 × 10
687
u
96
− 1.09 × 10
688
u
95
+ · · · + 3.67 × 10
692
a − 3.19 ×
10
693
, u
97
+ 3u
96
+ · · · − 326815u + 423614i
(i) Arc colorings
a
7
=
0
u
a
11
=
1
0
a
3
=
0.0000103746u
96
+ 0.0000296103u
95
+ ··· − 5.13025u + 8.67190
1.28570 × 10
−6
u
96
+ 3.78995 × 10
−6
u
95
+ ··· + 1.97339u + 0.490420
a
12
=
1
−u
2
a
2
=
0.0000103746u
96
+ 0.0000296103u
95
+ ··· − 5.13025u + 8.67190
3.02293 × 10
−6
u
96
+ 7.99155 × 10
−6
u
95
+ ··· + 6.86279u − 0.150671
a
6
=
7.84420 × 10
−6
u
96
+ 0.0000208910u
95
+ ··· + 12.2774u + 1.57910
4.97744 × 10
−8
u
96
+ 8.34988 × 10
−8
u
95
+ ··· + 0.288331u + 0.473383
a
5
=
7.79443 × 10
−6
u
96
+ 0.0000208075u
95
+ ··· + 11.9891u + 1.10572
4.97744 × 10
−8
u
96
+ 8.34988 × 10
−8
u
95
+ ··· + 0.288331u + 0.473383
a
8
=
−0.0000204260u
96
− 0.0000572511u
95
+ ··· − 27.5893u − 6.39711
1.61577 × 10
−6
u
96
+ 4.87046 × 10
−6
u
95
+ ··· + 2.05769u + 1.46957
a
9
=
−9.88886 × 10
−6
u
96
− 0.0000265271u
95
+ ··· − 21.3728u + 0.115127
−9.04866 × 10
−7
u
96
− 2.45873 × 10
−6
u
95
+ ··· − 0.780709u + 0.557878
a
4
=
6.73434 × 10
−6
u
96
+ 0.0000187268u
95
+ ··· + 8.13376u + 2.67026
7.03433 × 10
−8
u
96
+ 2.51508 × 10
−7
u
95
+ ··· − 0.520092u + 0.939174
a
1
=
3.07647 × 10
−6
u
96
+ 7.59451 × 10
−6
u
95
+ ··· + 12.1478u − 2.13295
−2.32077 × 10
−6
u
96
− 6.97629 × 10
−6
u
95
+ ··· − 2.64506u − 0.636660
a
10
=
4.36241 × 10
−6
u
96
+ 0.0000116402u
95
+ ··· + 12.3313u + 0.259494
3.20577 × 10
−8
u
96
+ 2.63754 × 10
−7
u
95
+ ··· + 0.735310u + 0.204890
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0000318183u
96
+ 0.0000744702u
95
+ ··· + 139.903u − 26.7053
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
97
− 6u
96
+ ··· + 11484641u + 1234962
c
2
, c
6
u
97
+ 3u
96
+ ··· + 38u − 1
c
3
, c
8
u
97
− u
96
+ ··· − 45431u + 10369
c
4
u
97
+ 3u
96
+ ··· − 524325u + 114823
c
5
u
97
+ u
96
+ ··· + 4369766u − 1681359
c
7
u
97
+ 9u
96
+ ··· + 6u + 1
c
9
, c
12
u
97
− 4u
96
+ ··· + 858u + 53
c
10
u
97
− 9u
96
+ ··· − 766766u + 291457
c
11
u
97
− 3u
96
+ ··· − 326815u − 423614
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
97
− 56y
96
+ ··· + 104656278490069y −1525131141444
c
2
, c
6
y
97
− 87y
96
+ ··· + 162y −1
c
3
, c
8
y
97
− 99y
96
+ ··· + 13533582897y −107516161
c
4
y
97
− 7y
96
+ ··· − 204662681307y −13184321329
c
5
y
97
+ 33y
96
+ ··· − 52295137112108y −2826968086881
c
7
y
97
− 23y
96
+ ··· + 72y −1
c
9
, c
12
y
97
+ 64y
96
+ ··· + 894104y −2809
c
10
y
97
− 45y
96
+ ··· + 2453858214746y −84947182849
c
11
y
97
+ 25y
96
+ ··· − 3682305657223y −179448820996
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.923522 + 0.419939I
a = −0.141190 − 0.711239I
b = −0.213610 + 0.164942I
1.63907 + 6.49597I 0
u = 0.923522 − 0.419939I
a = −0.141190 + 0.711239I
b = −0.213610 − 0.164942I
1.63907 − 6.49597I 0
u = −0.862563 + 0.538663I
a = 0.487071 − 0.589429I
b = −0.034290 + 0.213039I
2.83107 − 2.04200I 0
u = −0.862563 − 0.538663I
a = 0.487071 + 0.589429I
b = −0.034290 − 0.213039I
2.83107 + 2.04200I 0
u = −0.940702 + 0.267807I
a = 0.358836 − 0.095616I
b = −0.489850 + 0.448270I
1.59879 − 0.37419I 0
u = −0.940702 − 0.267807I
a = 0.358836 + 0.095616I
b = −0.489850 − 0.448270I
1.59879 + 0.37419I 0
u = 0.647383 + 0.723678I
a = −0.307654 − 0.408777I
b = 0.488257 + 0.100321I
−2.76377 + 2.06605I 0
u = 0.647383 − 0.723678I
a = −0.307654 + 0.408777I
b = 0.488257 − 0.100321I
−2.76377 − 2.06605I 0
u = −0.640499 + 0.727294I
a = −0.810670 − 0.913479I
b = −0.65070 − 1.54938I
−3.99650 − 2.93403I 0
u = −0.640499 − 0.727294I
a = −0.810670 + 0.913479I
b = −0.65070 + 1.54938I
−3.99650 + 2.93403I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.574971 + 0.879011I
a = −0.706880 + 1.199510I
b = 0.59602 + 1.67422I
−4.82694 + 4.90372I 0
u = 0.574971 − 0.879011I
a = −0.706880 − 1.199510I
b = 0.59602 − 1.67422I
−4.82694 − 4.90372I 0
u = −0.923843 + 0.563679I
a = −0.042756 − 0.154213I
b = 1.18616 − 0.87947I
−5.75571 − 6.53782I 0
u = −0.923843 − 0.563679I
a = −0.042756 + 0.154213I
b = 1.18616 + 0.87947I
−5.75571 + 6.53782I 0
u = 0.116869 + 1.092610I
a = −0.17809 + 1.48324I
b = −0.57730 + 1.81085I
−12.5963 − 6.5769I 0
u = 0.116869 − 1.092610I
a = −0.17809 − 1.48324I
b = −0.57730 − 1.81085I
−12.5963 + 6.5769I 0
u = −0.125613 + 0.891330I
a = −0.0640181 + 0.0757123I
b = 2.59653 + 0.53168I
−2.89330 + 7.74015I −15.9250 − 4.6761I
u = −0.125613 − 0.891330I
a = −0.0640181 − 0.0757123I
b = 2.59653 − 0.53168I
−2.89330 − 7.74015I −15.9250 + 4.6761I
u = 0.415341 + 1.062690I
a = 0.609307 − 1.263920I
b = −0.39602 − 1.44832I
−4.29659 + 2.89746I 0
u = 0.415341 − 1.062690I
a = 0.609307 + 1.263920I
b = −0.39602 + 1.44832I
−4.29659 − 2.89746I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.006624 + 0.851226I
a = −0.28218 − 1.60423I
b = 0.41444 − 1.42814I
−2.89748 + 0.28298I −2.00000 − 1.27836I
u = −0.006624 − 0.851226I
a = −0.28218 + 1.60423I
b = 0.41444 + 1.42814I
−2.89748 − 0.28298I −2.00000 + 1.27836I
u = 0.602528 + 0.597332I
a = −1.017100 + 0.021901I
b = 0.844467 + 0.976107I
−0.58135 − 4.78436I −7.16761 + 8.69455I
u = 0.602528 − 0.597332I
a = −1.017100 − 0.021901I
b = 0.844467 − 0.976107I
−0.58135 + 4.78436I −7.16761 − 8.69455I
u = −0.398228 + 1.092810I
a = −1.077510 + 0.417394I
b = −0.0958419 − 0.0506402I
−8.13927 + 2.05497I 0
u = −0.398228 − 1.092810I
a = −1.077510 − 0.417394I
b = −0.0958419 + 0.0506402I
−8.13927 − 2.05497I 0
u = 1.156450 + 0.156568I
a = 0.278185 − 0.941968I
b = −0.09792 − 2.37813I
1.77212 + 4.10712I 0
u = 1.156450 − 0.156568I
a = 0.278185 + 0.941968I
b = −0.09792 + 2.37813I
1.77212 − 4.10712I 0
u = 1.105100 + 0.379840I
a = −0.182877 − 0.225699I
b = −0.022022 − 0.775036I
−0.18199 + 3.83962I 0
u = 1.105100 − 0.379840I
a = −0.182877 + 0.225699I
b = −0.022022 + 0.775036I
−0.18199 − 3.83962I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.066796 + 0.797343I
a = 0.0190218 + 0.1360920I
b = −1.86362 + 1.01515I
2.50193 − 2.22011I −4.88704 + 9.89983I
u = −0.066796 − 0.797343I
a = 0.0190218 − 0.1360920I
b = −1.86362 − 1.01515I
2.50193 + 2.22011I −4.88704 − 9.89983I
u = 1.182660 + 0.204302I
a = −0.257969 − 0.155904I
b = 0.230698 − 0.885742I
−0.14085 + 3.92471I 0
u = 1.182660 − 0.204302I
a = −0.257969 + 0.155904I
b = 0.230698 + 0.885742I
−0.14085 − 3.92471I 0
u = 0.579912 + 1.053320I
a = −0.05703 + 1.48597I
b = 0.02168 + 1.42488I
−12.5183 + 9.8935I 0
u = 0.579912 − 1.053320I
a = −0.05703 − 1.48597I
b = 0.02168 − 1.42488I
−12.5183 − 9.8935I 0
u = 0.795290 + 0.028539I
a = 1.122040 + 0.246087I
b = 0.633574 + 0.435374I
−0.836585 + 0.106654I −8.30547 − 5.66017I
u = 0.795290 − 0.028539I
a = 1.122040 − 0.246087I
b = 0.633574 − 0.435374I
−0.836585 − 0.106654I −8.30547 + 5.66017I
u = −1.21270
a = 1.38716
b = 0.991209
−3.84308 0
u = 0.281235 + 0.719483I
a = 0.028419 + 0.260896I
b = 1.091930 + 0.404289I
0.03454 − 3.03484I −2.77691 + 0.64392I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.281235 − 0.719483I
a = 0.028419 − 0.260896I
b = 1.091930 − 0.404289I
0.03454 + 3.03484I −2.77691 − 0.64392I
u = 1.141950 + 0.454769I
a = −1.221940 + 0.431608I
b = −0.873299 + 0.669264I
−8.50791 + 7.03123I 0
u = 1.141950 − 0.454769I
a = −1.221940 − 0.431608I
b = −0.873299 − 0.669264I
−8.50791 − 7.03123I 0
u = −0.378164 + 1.200280I
a = 0.011811 − 1.286790I
b = −0.310358 − 1.324910I
−6.56438 − 2.28949I 0
u = −0.378164 − 1.200280I
a = 0.011811 + 1.286790I
b = −0.310358 + 1.324910I
−6.56438 + 2.28949I 0
u = 0.028117 + 0.736591I
a = −0.08855 + 2.18812I
b = 0.25582 + 1.90745I
−5.81101 + 3.05040I −1.70242 − 4.94793I
u = 0.028117 − 0.736591I
a = −0.08855 − 2.18812I
b = 0.25582 − 1.90745I
−5.81101 − 3.05040I −1.70242 + 4.94793I
u = −0.425850 + 1.198780I
a = −0.104106 + 1.361580I
b = 0.04697 + 1.50054I
−8.43987 − 4.77545I 0
u = −0.425850 − 1.198780I
a = −0.104106 − 1.361580I
b = 0.04697 − 1.50054I
−8.43987 + 4.77545I 0
u = −1.033450 + 0.798470I
a = 0.730998 + 0.691800I
b = −0.83004 + 1.69639I
−5.67762 − 6.64568I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.033450 − 0.798470I
a = 0.730998 − 0.691800I
b = −0.83004 − 1.69639I
−5.67762 + 6.64568I 0
u = 0.617943 + 0.301216I
a = 0.34881 − 1.60123I
b = 0.582353 − 0.610573I
−2.48190 + 3.88876I −6.60825 − 4.23609I
u = 0.617943 − 0.301216I
a = 0.34881 + 1.60123I
b = 0.582353 + 0.610573I
−2.48190 − 3.88876I −6.60825 + 4.23609I
u = −0.541139 + 0.299003I
a = 0.566676 − 0.958665I
b = −0.903463 + 0.302588I
1.87171 − 0.57875I 2.53846 + 0.89508I
u = −0.541139 − 0.299003I
a = 0.566676 + 0.958665I
b = −0.903463 − 0.302588I
1.87171 + 0.57875I 2.53846 − 0.89508I
u = −1.25310 + 0.70769I
a = 0.303565 − 0.312300I
b = −0.378188 − 0.451986I
−1.93093 − 4.24065I 0
u = −1.25310 − 0.70769I
a = 0.303565 + 0.312300I
b = −0.378188 + 0.451986I
−1.93093 + 4.24065I 0
u = −0.298035 + 0.440845I
a = −1.21985 − 2.03266I
b = 0.327599 − 1.361730I
−3.15077 − 0.32600I −3.31381 − 0.20621I
u = −0.298035 − 0.440845I
a = −1.21985 + 2.03266I
b = 0.327599 + 1.361730I
−3.15077 + 0.32600I −3.31381 + 0.20621I
u = 0.54081 + 1.38757I
a = 1.080280 + 0.283935I
b = 0.0232825 + 0.0547609I
−2.84867 + 2.95855I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.54081 − 1.38757I
a = 1.080280 − 0.283935I
b = 0.0232825 − 0.0547609I
−2.84867 − 2.95855I 0
u = −0.34649 + 1.46686I
a = −1.148290 + 0.269888I
b = 0.0407835 + 0.0416639I
−6.42429 − 9.16240I 0
u = −0.34649 − 1.46686I
a = −1.148290 − 0.269888I
b = 0.0407835 − 0.0416639I
−6.42429 + 9.16240I 0
u = −0.295001 + 0.378523I
a = −2.69695 + 1.42851I
b = 0.011606 + 0.236913I
1.90922 + 4.76277I −16.1493 − 2.7551I
u = −0.295001 − 0.378523I
a = −2.69695 − 1.42851I
b = 0.011606 − 0.236913I
1.90922 − 4.76277I −16.1493 + 2.7551I
u = −1.22798 + 0.89809I
a = −0.064238 + 0.727432I
b = −0.27578 + 2.29022I
2.13652 − 3.54958I 0
u = −1.22798 − 0.89809I
a = −0.064238 − 0.727432I
b = −0.27578 − 2.29022I
2.13652 + 3.54958I 0
u = 0.041949 + 0.445086I
a = 0.72714 − 1.40677I
b = −0.406883 + 0.513409I
−3.38531 − 0.33616I −6.88546 + 1.61686I
u = 0.041949 − 0.445086I
a = 0.72714 + 1.40677I
b = −0.406883 − 0.513409I
−3.38531 + 0.33616I −6.88546 − 1.61686I
u = 0.53757 + 1.50355I
a = 0.015470 + 1.161620I
b = 0.02277 + 1.63386I
−12.20690 − 0.32933I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.53757 − 1.50355I
a = 0.015470 − 1.161620I
b = 0.02277 − 1.63386I
−12.20690 + 0.32933I 0
u = −0.173989 + 0.362246I
a = 2.79961 − 1.61528I
b = −0.164585 + 0.163489I
3.33787 − 1.72551I 2.6497 + 15.0642I
u = −0.173989 − 0.362246I
a = 2.79961 + 1.61528I
b = −0.164585 − 0.163489I
3.33787 + 1.72551I 2.6497 − 15.0642I
u = −0.82248 + 1.42357I
a = 0.269489 + 0.908330I
b = −0.55475 + 1.85962I
−2.22870 − 6.72906I 0
u = −0.82248 − 1.42357I
a = 0.269489 − 0.908330I
b = −0.55475 − 1.85962I
−2.22870 + 6.72906I 0
u = 0.338771
a = 1.65263
b = 0.356841
−1.00609 −10.0620
u = 1.04636 + 1.30233I
a = −0.359124 + 0.690834I
b = 0.71719 + 1.97869I
−6.70359 + 4.67707I 0
u = 1.04636 − 1.30233I
a = −0.359124 − 0.690834I
b = 0.71719 − 1.97869I
−6.70359 − 4.67707I 0
u = 0.65644 + 1.56802I
a = −0.204936 + 0.969419I
b = 0.53008 + 1.81422I
−5.48142 + 10.64750I 0
u = 0.65644 − 1.56802I
a = −0.204936 − 0.969419I
b = 0.53008 − 1.81422I
−5.48142 − 10.64750I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.07428 + 1.44140I
a = −0.153756 − 0.968831I
b = 0.36684 − 2.10145I
−12.52170 − 5.60621I 0
u = −1.07428 − 1.44140I
a = −0.153756 + 0.968831I
b = 0.36684 + 2.10145I
−12.52170 + 5.60621I 0
u = 1.15083 + 1.53012I
a = 0.203060 − 0.956730I
b = −0.38905 − 2.03922I
−7.62856 + 11.80710I 0
u = 1.15083 − 1.53012I
a = 0.203060 + 0.956730I
b = −0.38905 + 2.03922I
−7.62856 − 11.80710I 0
u = −1.16207 + 1.57256I
a = −0.221595 − 0.923585I
b = 0.43403 − 2.03151I
−11.8925 − 17.9478I 0
u = −1.16207 − 1.57256I
a = −0.221595 + 0.923585I
b = 0.43403 + 2.03151I
−11.8925 + 17.9478I 0
u = −0.10937 + 2.04865I
a = 0.064869 + 0.774836I
b = −0.10253 + 2.06653I
−10.59440 − 0.47965I 0
u = −0.10937 − 2.04865I
a = 0.064869 − 0.774836I
b = −0.10253 − 2.06653I
−10.59440 + 0.47965I 0
u = 0.07153 + 2.08843I
a = −0.039114 − 0.924282I
b = 0.08777 − 1.54467I
−9.10546 + 0.65646I 0
u = 0.07153 − 2.08843I
a = −0.039114 + 0.924282I
b = 0.08777 + 1.54467I
−9.10546 − 0.65646I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.68233 + 2.08032I
a = 0.282251 − 0.705389I
b = −0.42753 − 1.76927I
−6.82142 + 1.41177I 0
u = 0.68233 − 2.08032I
a = 0.282251 + 0.705389I
b = −0.42753 + 1.76927I
−6.82142 − 1.41177I 0
u = −1.55278 + 1.71717I
a = −0.478006 − 0.471012I
b = 0.81776 − 1.62699I
−11.15040 − 5.29746I 0
u = −1.55278 − 1.71717I
a = −0.478006 + 0.471012I
b = 0.81776 + 1.62699I
−11.15040 + 5.29746I 0
u = −2.85107 + 0.72491I
a = −0.528207 − 0.173615I
b = 1.080010 − 0.798521I
−9.05145 + 6.35530I 0
u = −2.85107 − 0.72491I
a = −0.528207 + 0.173615I
b = 1.080010 + 0.798521I
−9.05145 − 6.35530I 0
u = 3.09997
a = 0.560468
b = −1.13002
−4.51649 0
14
II.
I
u
2
= h−2.34×10
55
u
35
−1.34×10
54
u
34
+· · ·+2.95×10
55
b+8.02×10
54
, −7.16×
10
55
u
35
−1.46×10
55
u
34
+· · ·+2.95×10
55
a+9.34×10
55
, u
36
−7u
34
+· · ·−2u−1i
(i) Arc colorings
a
7
=
0
u
a
11
=
1
0
a
3
=
2.43091u
35
+ 0.496072u
34
+ ··· − 22.9785u − 3.17162
0.793211u
35
+ 0.0454792u
34
+ ··· − 5.95402u − 0.272304
a
12
=
1
−u
2
a
2
=
2.43091u
35
+ 0.496072u
34
+ ··· − 22.9785u − 3.17162
1.03112u
35
+ 0.0792713u
34
+ ··· − 9.37708u − 0.768376
a
6
=
4.02788u
35
+ 0.607062u
34
+ ··· − 25.5199u − 1.32580
1.02707u
35
+ 0.0816316u
34
+ ··· − 8.15997u − 0.670931
a
5
=
3.00081u
35
+ 0.525430u
34
+ ··· − 17.3599u − 0.654867
1.02707u
35
+ 0.0816316u
34
+ ··· − 8.15997u − 0.670931
a
8
=
0.152365u
35
+ 0.0953897u
34
+ ··· − 12.9688u − 6.66963
1.27187u
35
+ 0.113464u
34
+ ··· − 7.70886u − 1.12584
a
9
=
0.248647u
35
+ 0.499958u
34
+ ··· − 13.9481u − 6.76477
0.838717u
35
+ 0.104830u
34
+ ··· − 5.86315u − 0.999036
a
4
=
3.36087u
35
+ 0.562276u
34
+ ··· − 21.4682u − 0.800367
1.05823u
35
+ 0.0898416u
34
+ ··· − 8.59372u − 0.707777
a
1
=
−2.19152u
35
− 1.11821u
34
+ ··· + 29.3835u + 10.6503
−1.33959u
35
− 0.313182u
34
+ ··· + 10.7485u + 2.41713
a
10
=
1.89686u
35
− 0.715494u
34
+ ··· − 7.70915u + 1.39503
1.59393u
35
− 0.0356473u
34
+ ··· − 7.40203u + 0.546068
(ii) Obstruction class = 1
(iii) Cusp Shapes = −10.1684u
35
− 0.0561771u
34
+ ··· + 47.6955u + 1.53481
15
(iv) u-Polynomials at the component
16
Crossings u-Polynomials at each crossing
c
1
u
36
− 13u
35
+ ··· − u − 1
c
2
u
36
− 2u
35
+ ··· + 3u − 1
c
3
u
36
− 19u
34
+ ··· − 6u + 1
c
4
u
36
+ 9u
34
+ ··· − 2u − 1
c
5
u
36
− 5u
34
+ ··· + u − 1
c
6
u
36
+ 2u
35
+ ··· − 3u − 1
c
7
u
36
− 10u
35
+ ··· − 11u + 1
c
8
u
36
− 19u
34
+ ··· + 6u + 1
c
9
u
36
+ 11u
35
+ ··· + 115u + 19
c
10
u
36
+ 4u
35
+ ··· + 21u + 1
c
11
u
36
− 7u
34
+ ··· − 2u − 1
c
12
u
36
− 11u
35
+ ··· − 115u + 19
17
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
36
− 11y
35
+ ··· − 49y + 1
c
2
, c
6
y
36
− 14y
35
+ ··· + 17y + 1
c
3
, c
8
y
36
− 38y
35
+ ··· − 50y + 1
c
4
y
36
+ 18y
35
+ ··· − 2y + 1
c
5
y
36
− 10y
35
+ ··· − 9y + 1
c
7
y
36
− 18y
35
+ ··· − 17y + 1
c
9
, c
12
y
36
+ 21y
35
+ ··· + 4863y + 361
c
10
y
36
− 8y
35
+ ··· − 139y + 1
c
11
y
36
− 14y
35
+ ··· + 20y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.758346 + 0.759079I
a = −0.551587 − 0.742977I
b = −0.486856 − 1.072750I
−4.62914 − 2.47996I −10.56358 + 2.50815I
u = −0.758346 − 0.759079I
a = −0.551587 + 0.742977I
b = −0.486856 + 1.072750I
−4.62914 + 2.47996I −10.56358 − 2.50815I
u = 0.986784 + 0.458970I
a = 0.343805 + 0.288454I
b = 0.246555 − 0.526918I
2.12755 + 1.87700I −4.26588 + 0.05616I
u = 0.986784 − 0.458970I
a = 0.343805 − 0.288454I
b = 0.246555 + 0.526918I
2.12755 − 1.87700I −4.26588 − 0.05616I
u = −1.049650 + 0.308053I
a = 0.174152 + 0.424408I
b = −0.256233 − 0.557024I
1.01006 − 6.48605I −6.76824 + 7.27015I
u = −1.049650 − 0.308053I
a = 0.174152 − 0.424408I
b = −0.256233 + 0.557024I
1.01006 + 6.48605I −6.76824 − 7.27015I
u = 0.062817 + 0.787673I
a = −0.712585 + 0.040837I
b = 2.43807 − 0.26663I
−2.55123 − 7.81026I 6.54419 + 9.48997I
u = 0.062817 − 0.787673I
a = −0.712585 − 0.040837I
b = 2.43807 + 0.26663I
−2.55123 + 7.81026I 6.54419 − 9.48997I
u = 0.780895
a = 1.30978
b = 1.11296
−0.495008 16.0780
u = 0.851780 + 0.900829I
a = −0.589165 + 0.655490I
b = 1.05394 + 1.79509I
−7.19344 + 6.51051I −11.29534 − 7.14657I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.851780 − 0.900829I
a = −0.589165 − 0.655490I
b = 1.05394 − 1.79509I
−7.19344 − 6.51051I −11.29534 + 7.14657I
u = 1.167620 + 0.479341I
a = −0.014055 − 0.660822I
b = −0.026402 − 0.604564I
−1.81694 + 5.18500I −4.91838 − 10.66878I
u = 1.167620 − 0.479341I
a = −0.014055 + 0.660822I
b = −0.026402 + 0.604564I
−1.81694 − 5.18500I −4.91838 + 10.66878I
u = −0.861711 + 0.998292I
a = 0.659031 + 0.909886I
b = −0.65506 + 1.68975I
−4.67805 − 5.87888I −2.00000 + 6.53027I
u = −0.861711 − 0.998292I
a = 0.659031 − 0.909886I
b = −0.65506 − 1.68975I
−4.67805 + 5.87888I −2.00000 − 6.53027I
u = 0.047308 + 0.653839I
a = 0.868301 − 0.251858I
b = −1.87420 − 1.13481I
2.80054 + 1.91691I 8.40440 + 2.34712I
u = 0.047308 − 0.653839I
a = 0.868301 + 0.251858I
b = −1.87420 + 1.13481I
2.80054 − 1.91691I 8.40440 − 2.34712I
u = −1.195750 + 0.671361I
a = 0.541134 − 0.373371I
b = −0.118209 − 0.389142I
0.26050 − 3.06317I 0
u = −1.195750 − 0.671361I
a = 0.541134 + 0.373371I
b = −0.118209 + 0.389142I
0.26050 + 3.06317I 0
u = 1.193600 + 0.680322I
a = 0.044103 − 0.908189I
b = −0.36212 − 2.16342I
1.81614 + 3.08089I 0. + 3.61070I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.193600 − 0.680322I
a = 0.044103 + 0.908189I
b = −0.36212 + 2.16342I
1.81614 − 3.08089I 0. − 3.61070I
u = −1.369080 + 0.199390I
a = 0.088965 + 0.790438I
b = −0.03762 + 2.51786I
1.82261 − 4.74293I 0. + 14.3446I
u = −1.369080 − 0.199390I
a = 0.088965 − 0.790438I
b = −0.03762 − 2.51786I
1.82261 + 4.74293I 0. − 14.3446I
u = −0.110672 + 0.533435I
a = −1.30147 − 0.81865I
b = 0.94853 − 1.34064I
0.12897 + 4.19935I −1.33510 − 4.97500I
u = −0.110672 − 0.533435I
a = −1.30147 + 0.81865I
b = 0.94853 + 1.34064I
0.12897 − 4.19935I −1.33510 + 4.97500I
u = −0.470197 + 0.179567I
a = −1.33620 + 2.18578I
b = 0.295231 + 0.045608I
2.21723 + 4.78548I 10.18269 − 5.00993I
u = −0.470197 − 0.179567I
a = −1.33620 − 2.18578I
b = 0.295231 − 0.045608I
2.21723 − 4.78548I 10.18269 + 5.00993I
u = 0.167475 + 0.408927I
a = 3.01320 + 0.61859I
b = −0.120856 − 0.194197I
3.26017 − 1.45446I −5.62697 − 11.58053I
u = 0.167475 − 0.408927I
a = 3.01320 − 0.61859I
b = −0.120856 + 0.194197I
3.26017 + 1.45446I −5.62697 + 11.58053I
u = −0.021229 + 0.410326I
a = −0.51907 − 3.11234I
b = 0.10851 − 1.47364I
−2.98011 − 1.37034I −1.13062 + 5.64897I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.021229 − 0.410326I
a = −0.51907 + 3.11234I
b = 0.10851 + 1.47364I
−2.98011 + 1.37034I −1.13062 − 5.64897I
u = 2.01173 + 0.09990I
a = −0.781567 − 0.008019I
b = 0.464636 − 0.115864I
−9.65472 + 6.08763I 0
u = 2.01173 − 0.09990I
a = −0.781567 + 0.008019I
b = 0.464636 + 0.115864I
−9.65472 − 6.08763I 0
u = 0.04514 + 2.14883I
a = 0.019624 − 0.855908I
b = 0.02242 − 1.64302I
−8.83351 + 0.30527I 0
u = 0.04514 − 2.14883I
a = 0.019624 + 0.855908I
b = 0.02242 + 1.64302I
−8.83351 − 0.30527I 0
u = −2.17615
a = 0.797002
b = −0.393628
−4.93586 0
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
36
− 13u
35
+ ··· − u − 1)(u
97
− 6u
96
+ ··· + 1.14846 × 10
7
u + 1234962)
c
2
(u
36
− 2u
35
+ ··· + 3u − 1)(u
97
+ 3u
96
+ ··· + 38u − 1)
c
3
(u
36
− 19u
34
+ ··· − 6u + 1)(u
97
− u
96
+ ··· − 45431u + 10369)
c
4
(u
36
+ 9u
34
+ ··· − 2u − 1)(u
97
+ 3u
96
+ ··· − 524325u + 114823)
c
5
(u
36
− 5u
34
+ ··· + u − 1)(u
97
+ u
96
+ ··· + 4369766u − 1681359)
c
6
(u
36
+ 2u
35
+ ··· − 3u − 1)(u
97
+ 3u
96
+ ··· + 38u − 1)
c
7
(u
36
− 10u
35
+ ··· − 11u + 1)(u
97
+ 9u
96
+ ··· + 6u + 1)
c
8
(u
36
− 19u
34
+ ··· + 6u + 1)(u
97
− u
96
+ ··· − 45431u + 10369)
c
9
(u
36
+ 11u
35
+ ··· + 115u + 19)(u
97
− 4u
96
+ ··· + 858u + 53)
c
10
(u
36
+ 4u
35
+ ··· + 21u + 1)(u
97
− 9u
96
+ ··· − 766766u + 291457)
c
11
(u
36
− 7u
34
+ ··· − 2u − 1)(u
97
− 3u
96
+ ··· − 326815u − 423614)
c
12
(u
36
− 11u
35
+ ··· − 115u + 19)(u
97
− 4u
96
+ ··· + 858u + 53)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
36
− 11y
35
+ ··· − 49y + 1)
· (y
97
− 56y
96
+ ··· + 104656278490069y −1525131141444)
c
2
, c
6
(y
36
− 14y
35
+ ··· + 17y + 1)(y
97
− 87y
96
+ ··· + 162y −1)
c
3
, c
8
(y
36
− 38y
35
+ ··· − 50y + 1)
· (y
97
− 99y
96
+ ··· + 13533582897y −107516161)
c
4
(y
36
+ 18y
35
+ ··· − 2y + 1)
· (y
97
− 7y
96
+ ··· − 204662681307y −13184321329)
c
5
(y
36
− 10y
35
+ ··· − 9y + 1)
· (y
97
+ 33y
96
+ ··· − 52295137112108y −2826968086881)
c
7
(y
36
− 18y
35
+ ··· − 17y + 1)(y
97
− 23y
96
+ ··· + 72y −1)
c
9
, c
12
(y
36
+ 21y
35
+ ··· + 4863y + 361)
· (y
97
+ 64y
96
+ ··· + 894104y −2809)
c
10
(y
36
− 8y
35
+ ··· − 139y + 1)
· (y
97
− 45y
96
+ ··· + 2453858214746y −84947182849)
c
11
(y
36
− 14y
35
+ ··· + 20y + 1)
· (y
97
+ 25y
96
+ ··· − 3682305657223y −179448820996)
25
