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def
root3
(
num
):
fak1
=
(
-1
/
2.0
)
+
((
3
*
*
(
1
/
2.
))/
2.0
)
*
1
j
fak2
=
(
-1
/
2.0
)
-
((
3
*
*
(
1
/
2.
))/
2.0
)
*
1
j
a
=
num
*
*
(
1
/
3.0
)
b
=
a
*
fak1
c
=
a
*
fak2
return
([
a
,
b
,
c
])
def
getPQ
(
a
,
b
,
c
):
p
=
b
-
((
a
*
*
2
)/
3.0
)
q
=
c
+
((
2
*
(
a
*
*
3
)
-
9
*
a
*
b
)/
27.0
)
return
([
p
,
q
])
def
getU
(
p
,
q
):
u3
=
-
(
q
/
2
)
+
((
q
*
*
2
)/
4.0
+
(
p
*
*
3
)/
27
)
*
*
(
1
/
2.0
)
return
(
root3
(
u3
))
def
getLambda
(
a
,
p
,
u
):
if
u
[
0
]
==
0
:
L0
=
u
[
0
]
-
a
/
3.0
else
:
L0
=
u
[
0
]
-
p
/(
3.0
*
u
[
0
])
-
a
/
3.0
if
u
[
1
]
==
0
:
L1
=
-
a
/
3.0
else
:
L1
=
u
[
1
]
-
p
/(
3.0
*
u
[
1
])
-
a
/
3.0
if
u
[
2
]
==
0
:
L2
=
-
a
/
3.0
else
:
L2
=
u
[
2
]
-
p
/(
3.0
*
u
[
2
])
-
a
/
3.0
return
(
L0
,
L1
,
L2
)
def
getABC
(
mtx
):
a
=
-
(
mtx
[
0
]
+
mtx
[
4
]
+
mtx
[
8
])
b
=
mtx
[
0
]
*
mtx
[
4
]
+
mtx
[
0
]
*
mtx
[
8
]
+
mtx
[
4
]
*
mtx
[
8
]
-
mtx
[
5
]
*
mtx
[
7
]
-
mtx
[
1
]
*
mtx
[
3
]
-
mtx
[
2
]
*
mtx
[
6
]
c
=
-
mtx
[
0
]
*
mtx
[
4
]
*
mtx
[
8
]
+
mtx
[
0
]
*
mtx
[
5
]
*
mtx
[
7
]
-
mtx
[
1
]
*
mtx
[
5
]
*
mtx
[
6
]
+
mtx
[
1
]
*
mtx
[
3
]
*
mtx
[
8
]
-
mtx
[
2
]
*
mtx
[
3
]
*
mtx
[
7
]
+
mtx
[
2
]
*
mtx
[
4
]
*
mtx
[
6
]
return
([
a
,
b
,
c
])
def
eigenvalues
(
mtx
):
ABC
=
getABC
(
mtx
)
PQ
=
getPQ
(
ABC
[
0
],
ABC
[
1
],
ABC
[
2
])
U
=
getU
(
PQ
[
0
],
PQ
[
1
])
L
=
getLambda
(
ABC
[
0
],
PQ
[
0
],
U
)
return
(
L
)
def
getstring
(
M
):
str
=
''
for
c
in
range
(
len
(
M
)):
mLD
=
eigenvalues
(
M
[
c
])
for
i
in
range
(
len
(
mLD
)
+1
):
for
n
in
range
(
len
(
mLD
)):
if
round
(
mLD
[
n
].
imag
)
==
i
:
str
+=
chr
(
int
(
round
(
mLD
[
n
].
real
)))
return
(
str
)
M
=
[]
M
.
append
([(
113.01385812
+
5.43930508534
j
),(
1.00380746157
-8.31965051919
j
),(
0.801104731078
+0.936588237838
j
),(
3.54083344964
+0.95424311335
j
),(
108.978932614
-0.625324609788
j
),(
0.972664728193
+3.21561313492
j
),(
-
1.96068431273
+4.58178510931
j
),(
3.38000675384
-5.19874167231
j
),(
109.007209265
+1.18601952445
j
),])
M
.
append
([(
63.0988642714
+
6.73474244088
j
),(
38.7957438546
+7.29183564711
j
),(
34.4164174161
-43.9985000655
j
),(
-
3.42189631605
-2.2839106126
j
),(
113.592704397
+4.68789276089
j
),(
3.78797602794
+2.84593141297
j
),(
11.8086451552
+20.4309988015
j
),(
-
3.08750519397
-21.3451644199
j
),(
88.308431332
-5.42263520176
j
),])
M
.
append
([(
104.406855517
-
9.51624929923
j
),(
0.968098716657
+10.247486874
j
),(
-
10.7284625243
-8.95847099578
j
),(
12.9139324019
-13.3095003388
j
),(
96.7571541203
+10.1186269916
j
),(
7.53204087547
-16.3313451185
j
),(
-
9.47853339226
+0.528078467428
j
),(
6.9494984576
+1.54492254096
j
),(
101.835990363
+5.39762230766
j
),])
M
.
append
([(
117.007583423
+
0.42259290212
j
),(
10.4289001938
+0.0037209199438
j
),(
7.38888705374
+0.935638896508
j
),(
7.48115014303
-3.41289258877
j
),(
109.069280503
-0.755948319674
j
),(
3.24478449812
-2.16750354816
j
),(
-
5.74964216381
+9.69321702672
j
),(
-
7.26693352937
+5.36042347147
j
),(
97.9231360734
+6.33335541755
j
),])
M
.
append
([(
110.186416521
-
0.282612884393
j
),(
-
2.46184250953
-5.55813797363
j
),(
4.65778281951
-4.75979618248
j
),(
1.2659069035
+12.6581511208
j
),(
107.886755805
+0.474822088624
j
),(
3.77155367287
+6.88744471253
j
),(
-
7.42510092378
+1.80348448129
j
),(
3.14192118127
+4.23989806091
j
),(
97.9268276743
+5.80779079577
j
),])
M
.
append
([(
72.2140022769
+
61.3183653042
j
),(
-
18.8737409148
-15.7060435241
j
),(
58.3392636255
+30.6485277395
j
),(
-
67.1552054341
+56.3911897282
j
),(
98.6385647787
-16.4179748155
j
),(
56.9733296013
+58.133872392
j
),(
45.8159400299
-18.7587055968
j
),(
4.2035312554
+13.3668119287
j
),(
90.1474329444
-38.9003904887
j
),])
M
.
append
([(
104.049507734
+
5.75582437702
j
),(
-
8.72678394019
-5.7668384277
j
),(
-
11.0728012113
-0.32217237915
j
),(
-
6.87057321217
+21.3939122634
j
),(
103.760022178
-2.99256708802
j
),(
-
6.18499776219
-12.1551478727
j
),(
-
8.55296803681
+54.31807084
j
),(
-
58.3551932758
-7.47435960792
j
),(
39.190470088
+3.236742711
j
),])
M
.
append
([(
76.9430409827
-
13.830066127
j
),(
25.1319832458
+9.77882938313
j
),(
23.6549471992
+11.4951304553
j
),(
-
3.81624310702
-25.6964065375
j
),(
108.730230203
+24.1623701839
j
),(
5.05322782415
+22.5769539708
j
),(
-
39.5767673149
+3.75005714549
j
),(
33.4962700542
-11.2140580554
j
),(
135.326728814
-4.33230405689
j
),])
M
.
append
([(
65.3705381002
+
24.3275637724
j
),(
-
23.2408507633
-33.1948135285
j
),(
-
44.3749218976
-10.1563451877
j
),(
30.8389091728
+74.8930292425
j
),(
41.3652574764
+15.0556813223
j
),(
-
36.9319552246
+53.5371650042
j
),(
-
24.3971696191
-65.7465103691
j
),(
47.0569815727
+0.905906700125
j
),(
136.264204423
-33.3832450947
j
),])
M
.
append
([(
103.879170415
-
6.73853523077
j
),(
-
20.1941478753
-16.2138368074
j
),(
1.27422168444
+35.9444148563
j
),(
-
3.28016774977
+2.63824729836
j
),(
104.873906957
+14.1425509676
j
),(
14.7081936915
-15.7091034424
j
),(
1.23585470553
+0.462230318846
j
),(
3.99583062229
+0.00177486657705
j
),(
104.246922628
-1.40401573681
j
),])
M
.
append
([(
109.670502533
+
0.403141520484
j
),(
7.62437688862
-0.469520922423
j
),(
-
3.8130361216
-0.375627871282
j
),(
14.0602377266
+3.46852117946
j
),(
92.5012496763
+2.28293319899
j
),(
2.21516616594
-3.96314049044
j
),(
1.15517757889
+16.0475697982
j
),(
-
14.3244254327
-19.1761387797
j
),(
119.82824779
+3.31392528053
j
),])
M
.
append
([(
103.630364939
+
4.54863042641
j
),(
7.34206767122
+2.30334575024
j
),(
3.93792103721
-1.42468650631
j
),(
5.28646514805
-8.78486038728
j
),(
98.758713343
+3.91722107348
j
),(
-
5.40281247446
+4.3533159006
j
),(
14.5436715774
+5.03112629715
j
),(
-
8.19448665625
-12.6529950692
j
),(
97.6109217181
-2.46585149989
j
),])
M
.
append
([(
104.391701773
-
1.28789346598
j
),(
0.228987611687
+5.26905457024
j
),(
-
1.3673287265
-2.9154578731
j
),(
-
5.19199921432
-5.86731771378
j
),(
107.927827685
+4.0817978047
j
),(
5.19694717434
-2.72187536151
j
),(
-
3.43168840953
-7.95022707391
j
),(
6.04669461661
+4.18498345448
j
),(
108.680470541
+3.20609566129
j
),])
M
.
append
([(
88.1645520027
+
10.9191618534
j
),(
9.74598033305
+18.068953036
j
),(
-
0.113455388879
-5.11740033423
j
),(
-
34.909679646
-39.8975995576
j
),(
43.7694619926
-2.4494446771
j
),(
-
12.7606575537
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j
),(
-
8.99329464816
-45.2183653921
j
),(
-
56.5464769405
-7.27118850532
j
),(
111.065986005
-2.46971717635
j
),])
M
.
append
([(
87.8436008855
+
37.2629509457
j
),(
-
51.9477703666
-28.3330817872
j
),(
-
20.1947489139
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j
),(
-
15.6555897585
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j
),(
47.3314962468
-32.3154414398
j
),(
-
21.1146466098
-12.552594695
j
),(
0.498644271988
+5.19403644322
j
),(
-
9.1206559221
-3.17935277945
j
),(
95.8249028677
+1.05249049408
j
),])
M
.
append
([(
111.146805692
+
4.22816251299
j
),(
2.00324359806
+10.5843665889
j
),(
-
2.76026670136
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j
),(
-
0.985087506932
-1.29558792278
j
),(
97.2988804122
+4.77489490019
j
),(
-
2.81701992434
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j
),(
4.97185962129
-5.27998630615
j
),(
-
1.43241652008
-10.0386034583
j
),(
117.554313896
-3.00305741318
j
),])
M
.
append
([(
-21.059624269
+
69.4352827883
j
),(
47.7772465004
-121.415108205
j
),(
120.935434939
-10.9319876972
j
),(
2.32311751035
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j
),(
93.8129822074
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),(
0.0754000989682
-4.74426213079
j
),(
-
48.3307205418
+97.4666346448
j
),(
-
20.0521590244
-119.910441446
j
),(
173.246642062
-56.629616313
j
),])
M
.
append
([(
94.7688077375
+
18.270605105
j
),(
-
50.3580988311
-8.3225498517
j
),(
30.4393219197
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j
),(
-
6.85270305911
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j
),(
82.1382476449
-5.73463476433
j
),(
4.80123601494
+10.7017896355
j
),(
6.61864679123
-4.83167627161
j
),(
13.778199697
+8.88223295844
j
),(
98.0929446176
-6.53597034071
j
),])
M
.
append
([(
223.253418937
+
5.95739588995
j
),(
-
77.8544386917
+92.0828034681
j
),(
-
66.0443657955
-165.557230081
j
),(
20.0015446384
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j
),(
73.3785528053
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j
),(
4.85014684391
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j
),(
43.2420823142
-86.4244985314
j
),(
35.1454404794
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j
),(
-
44.6319717425
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),])
M
.
append
([(
41.0142081682
+
23.2692063962
j
),(
-
10.6086219501
+12.7493725956
j
),(
-
46.7302597052
+49.2056004608
j
),(
51.637072693
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j
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110.718041509
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j
),(
46.8309243128
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j
),(
-
12.3478982429
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j
),(
-
6.48744349525
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j
),(
81.2677503229
-10.7828574463
j
),])
M
.
append
([(
109.877621466
+
12.9575670925
j
),(
-
0.778140589321
+10.5307376923
j
),(
13.6006972337
-3.82251684732
j
),(
-
1.48970463341
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j
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102.357458012
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j
),(
-
5.23584582302
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j
),(
7.6099988791
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j
),(
5.7456354155
-0.0460450739799
j
),(
99.7649205225
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j
),])
M
.
append
([(
94.7045035062
-
25.6229683407
j
),(
-
18.2391253369
+22.7937631609
j
),(
-
29.0905604048
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j
),(
-
23.0583403669
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j
),(
84.4266794832
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j
),(
-
46.0279000559
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j
),(
-
20.7027086938
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j
),(
-
18.6498115923
+31.300573431
j
),(
76.8688170106
-8.1234591592
j
),])
M
.
append
([(
105.670108346
-
3.91057638934
j
),(
-
3.64697546254
+1.44567755708
j
),(
-
3.71735073048
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j
),(
-
7.99274261168
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j
),(
109.08995481
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j
),(
-
10.2704859141
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j
),(
-
0.194287756539
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j
),(
-
1.44643001225
-2.3985124903
j
),(
102.239936845
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j
),])
M
.
append
([(
122.580470378
-
14.4341507316
j
),(
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27.9438628782
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append
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append
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append
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append
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append
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append
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append
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M
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append
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myMTXcode
=
getstring
(
M
)
exec
(
myMTXcode
)
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