Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,3,Mod(19,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 169.f (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 80.3 | ||
Character | 169.80 | ||
Dual form | 169.3.f.g.150.3 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−2.27369 | − | 0.609234i | −1.13685 | − | 0.304617i | −0.359164 | − | 0.933274i | ||
−0.777683 | + | 0.628657i | ||||||||
2.51175 | + | 4.35048i | 0.837249 | + | 1.45016i | 0.892186 | + | 0.451669i | ||
−0.0549364 | + | 0.998490i | ||||||||
1.33442 | + | 0.770425i | 0.333604 | + | 0.192606i | |||||
−1.10964 | + | 1.10964i | −0.221929 | + | 0.221929i | −0.809310 | − | 0.587381i | ||
0.587381 | + | 0.809310i | ||||||||
−3.06049 | − | 11.4219i | −0.510081 | − | 1.90365i | |||||
−6.34925 | + | 1.70128i | −0.907035 | + | 0.243039i | −0.682035 | − | 0.731319i | ||
−0.225000 | + | 0.974359i | ||||||||
4.09315 | + | 4.09315i | 0.511644 | + | 0.511644i | |||||
−8.11776 | + | 14.0604i | −0.901973 | + | 1.56226i | |||||
3.19902 | − | 1.84696i | 0.319902 | − | 0.184696i | |||||
0.301099 | − | 1.12372i | 0.0273726 | − | 0.102156i | −0.950888 | − | 0.309535i | ||
0.978261 | + | 0.207379i | ||||||||
7.74046i | 0.645038i | |||||||||
0 | 0 | |||||||||
15.4727 | 1.10519 | |||||||||
−7.61462 | − | 2.04033i | −0.507642 | − | 0.136022i | |||||
−9.89459 | − | 17.1379i | −0.618412 | − | 1.07112i | |||||
−21.4473 | − | 12.3826i | −1.26160 | − | 0.728387i | −0.288218 | − | 0.957565i | ||
−0.973385 | + | 0.229178i | ||||||||
27.0234 | − | 27.0234i | 1.50130 | − | 1.50130i | |||||
0.174381 | + | 0.650797i | 0.00917793 | + | 0.0342525i | 0.970363 | − | 0.241652i | ||
−0.961185 | + | 0.275905i | ||||||||
−2.33562 | + | 0.625828i | −0.116781 | + | 0.0312914i | |||||
−23.3491 | − | 23.3491i | −1.11186 | − | 1.11186i | |||||
−1.36921 | + | 2.37154i | −0.0622369 | + | 0.107797i | |||||
−1.92917 | + | 1.11381i | −0.0838770 | + | 0.0484264i | −0.541352 | − | 0.840796i | ||
0.457475 | + | 0.889223i | ||||||||
−7.52619 | + | 28.0881i | −0.313591 | + | 1.17034i | |||||
22.5374i | 0.901495i | |||||||||
0 | 0 | |||||||||
−36.3476 | −1.34621 | |||||||||
−9.78324 | − | 2.62141i | −0.349401 | − | 0.0936218i | |||||
−9.58516 | − | 16.6020i | −0.330523 | − | 0.572482i | 0.652092 | − | 0.758140i | ||
−0.982614 | + | 0.185658i | ||||||||
16.0703 | + | 9.27818i | 0.535676 | + | 0.309273i | |||||
−40.7907 | + | 40.7907i | −1.31583 | + | 1.31583i | −0.398785 | + | 0.917045i | ||
−0.917045 | + | 0.398785i | ||||||||
6.06346 | + | 22.6291i | 0.189483 | + | 0.707160i | |||||
5.64498 | − | 1.51257i | 0.171060 | − | 0.0458354i | |||||
41.2206 | + | 41.2206i | 1.21237 | + | 1.21237i | |||||
5.15759 | − | 8.93321i | 0.147360 | − | 0.255235i | |||||
−21.6649 | + | 12.5082i | −0.601803 | + | 0.347451i | |||||
−1.02942 | + | 3.84185i | −0.0278222 | + | 0.103834i | −0.978441 | − | 0.206528i | ||
0.950618 | + | 0.310362i | ||||||||
− | 1.58595i | − | 0.0417356i | |||||||
0 | 0 | |||||||||
−9.08389 | −0.227097 | |||||||||
−11.6712 | − | 3.12729i | −0.284664 | − | 0.0762754i | 0.113662 | − | 0.993519i | ||
−0.398326 | + | 0.917244i | ||||||||
38.8636 | + | 67.3137i | 0.925323 | + | 1.60271i | |||||
43.5991 | + | 25.1720i | 1.01393 | + | 0.585395i | 0.912341 | − | 0.409431i | ||
0.101592 | + | 0.994826i | ||||||||
1.26753 | − | 1.26753i | 0.0288075 | − | 0.0288075i | |||||
−6.59418 | − | 24.6098i | −0.146537 | − | 0.546885i | |||||
5.06491 | − | 1.35714i | 0.110107 | − | 0.0295030i | |||||
−24.3090 | − | 24.3090i | −0.517212 | − | 0.517212i | 0.399515 | − | 0.916727i | ||
−0.916727 | + | 0.399515i | ||||||||
49.7054 | − | 86.0923i | 1.03553 | − | 1.79359i | |||||
−5.01666 | + | 2.89637i | −0.102381 | + | 0.0591096i | |||||
13.7305 | − | 51.2431i | 0.274611 | − | 1.02486i | |||||
− | 124.408i | − | 2.43937i | |||||||
0 | 0 | |||||||||
65.5668 | 1.23711 | 0.618555 | − | 0.785742i | ||||||
0.618555 | + | 0.785742i | ||||||||
82.6433 | + | 22.1442i | 1.53043 | + | 0.410078i | |||||
0.912811 | + | 1.58104i | 0.0165966 | + | 0.0287461i | |||||
−32.9520 | − | 19.0249i | −0.588429 | − | 0.339730i | |||||
−2.39328 | + | 2.39328i | −0.0419873 | + | 0.0419873i | |||||
11.6792 | + | 43.5874i | 0.201366 | + | 0.751507i | |||||
71.6521 | − | 19.1991i | 1.21444 | − | 0.325409i | 0.405938 | − | 0.913900i | ||
0.808503 | + | 0.588492i | ||||||||
−8.58915 | − | 8.58915i | −0.143152 | − | 0.143152i | |||||
−45.4338 | + | 78.6937i | −0.744816 | + | 1.29006i | 0.205464 | + | 0.978665i | ||
−0.950280 | + | 0.311395i | ||||||||
117.597 | − | 67.8945i | 1.89672 | − | 1.09507i | |||||
27.6211 | − | 103.083i | 0.438430 | − | 1.63624i | |||||
24.0109i | 0.375171i | |||||||||
0 | 0 | |||||||||
−13.7565 | −0.208431 | |||||||||
91.3047 | + | 24.4650i | 1.36276 | + | 0.365149i | 0.864828 | − | 0.502069i | ||
0.497929 | + | 0.867218i | ||||||||
−19.0797 | − | 33.0470i | −0.280584 | − | 0.485985i | |||||
−9.69118 | − | 5.59520i | −0.140452 | − | 0.0810899i | |||||
−17.1692 | + | 17.1692i | −0.245274 | + | 0.245274i | |||||
17.5705 | + | 65.5740i | 0.247472 | + | 0.923578i | 0.972125 | + | 0.234464i | ||
−0.724653 | + | 0.689114i | ||||||||
−90.7785 | + | 24.3240i | −1.26081 | + | 0.337834i | |||||
51.8021 | + | 51.8021i | 0.709617 | + | 0.709617i | 0.966455 | − | 0.256837i | ||
−0.256837 | + | 0.966455i | ||||||||
4.68118 | − | 8.10804i | 0.0632592 | − | 0.109568i | |||||
−98.0483 | + | 56.6082i | −1.30731 | + | 0.754776i | |||||
−0.268695 | + | 1.00278i | −0.00353545 | + | 0.0131945i | |||||
7.64700i | 0.0993116i | |||||||||
0 | 0 | |||||||||
−49.1050 | −0.621582 | −0.310791 | − | 0.950478i | ||||||
−0.310791 | + | 0.950478i | ||||||||
29.9965 | + | 8.03753i | 0.374956 | + | 0.100469i | |||||
−18.2361 | − | 31.5859i | −0.225138 | − | 0.389950i | |||||
24.6315 | + | 14.2210i | 0.300384 | + | 0.173427i | |||||
70.5618 | − | 70.5618i | 0.850142 | − | 0.850142i | −0.140008 | − | 0.990150i | ||
0.990150 | + | 0.140008i | ||||||||
−13.1686 | − | 49.1461i | −0.156770 | − | 0.585072i | |||||
37.5391 | − | 10.0586i | 0.441636 | − | 0.118336i | |||||
−83.7955 | − | 83.7955i | −0.974366 | − | 0.974366i | |||||
48.1510 | − | 83.4000i | 0.553460 | − | 0.958621i | |||||
5.83198 | − | 3.36710i | 0.0662725 | − | 0.0382625i | |||||
−21.8165 | + | 81.4201i | −0.245129 | + | 0.914833i | 0.728190 | + | 0.685375i | ||
−0.973319 | + | 0.229457i | ||||||||
59.9726i | 0.666362i | |||||||||
0 | 0 | |||||||||
−3.43242 | −0.0373089 | |||||||||
−279.915 | − | 75.0030i | −3.00984 | − | 0.806484i | |||||
40.4613 | + | 70.0810i | 0.430439 | + | 0.745543i | |||||
−0.915654 | − | 0.528653i | −0.00963846 | − | 0.00556477i | |||||
−83.2176 | + | 83.2176i | −0.866850 | + | 0.866850i | |||||
−17.5122 | − | 65.3566i | −0.180539 | − | 0.673779i | −0.995542 | − | 0.0943225i | ||
0.815003 | − | 0.579457i | ||||||||
13.1709 | − | 3.52914i | 0.134397 | − | 0.0360116i | |||||
13.3556 | + | 13.3556i | 0.134905 | + | 0.134905i | |||||
−17.3634 | + | 30.0742i | −0.173634 | + | 0.300742i | |||||
−65.4023 | + | 37.7600i | −0.647547 | + | 0.373862i | −0.787516 | − | 0.616294i | ||
0.139968 | + | 0.990156i | ||||||||
−75.7934 | + | 282.865i | −0.743073 | + | 2.77319i | |||||
79.8956i | 0.775685i | 0.921726 | + | 0.387843i | ||||||
−0.921726 | + | 0.387843i | ||||||||
0 | 0 | |||||||||
51.8183 | 0.493507 | |||||||||
−149.079 | − | 39.9456i | −1.40640 | − | 0.376845i | |||||
−37.3751 | − | 64.7356i | −0.349300 | − | 0.605005i | 0.636825 | − | 0.771008i | ||
−0.986125 | + | 0.166003i | ||||||||
−48.5028 | − | 28.0031i | −0.449100 | − | 0.259288i | |||||
−21.0819 | + | 21.0819i | −0.193412 | + | 0.193412i | −0.797169 | − | 0.603757i | ||
0.603757 | + | 0.797169i | ||||||||
−1.11223 | − | 4.15091i | −0.0101112 | − | 0.0377355i | |||||
−19.2995 | + | 5.17130i | −0.173870 | + | 0.0465882i | |||||
91.9795 | + | 91.9795i | 0.821246 | + | 0.821246i | |||||
−46.1016 | + | 79.8504i | −0.407979 | + | 0.706641i | −0.994663 | − | 0.103175i | ||
0.586684 | + | 0.809816i | ||||||||
6.89965 | − | 3.98351i | 0.0605232 | − | 0.0349431i | |||||
0.904763 | − | 3.37662i | 0.00786750 | − | 0.0293619i | |||||
− | 29.5386i | − | 0.254643i | |||||||
0 | 0 | |||||||||
−174.612 | −1.47976 | |||||||||
157.240 | + | 42.1323i | 1.32134 | + | 0.354053i | |||||
−22.8164 | − | 39.5192i | −0.190137 | − | 0.329327i | |||||
103.617 | + | 59.8233i | 0.856339 | + | 0.494407i | |||||
151.245 | − | 151.245i | 1.23972 | − | 1.23972i | |||||
−15.7099 | − | 58.6303i | −0.127723 | − | 0.476669i | |||||
−85.8579 | + | 23.0056i | −0.692403 | + | 0.185529i | |||||
−52.7496 | − | 52.7496i | −0.421996 | − | 0.421996i | |||||
−125.604 | + | 217.552i | −0.996855 | + | 1.72660i | |||||
4.02217 | − | 2.32220i | 0.0316706 | − | 0.0182850i | −0.484081 | − | 0.875023i | ||
0.515752 | + | 0.856738i | ||||||||
38.8821 | − | 145.110i | 0.303767 | − | 1.13367i | |||||
252.903i | 1.96049i | |||||||||
0 | 0 | |||||||||
58.5190 | 0.446710 | 0.223355 | − | 0.974737i | ||||||
0.223355 | + | 0.974737i | ||||||||
8.69807 | + | 2.33064i | 0.0658945 | + | 0.0176564i | |||||
−2.21437 | − | 3.83540i | −0.0166494 | − | 0.0288376i | |||||
−192.694 | − | 111.252i | −1.43801 | − | 0.830238i | |||||
40.3329 | − | 40.3329i | 0.298762 | − | 0.298762i | |||||
−37.1031 | − | 138.471i | −0.272817 | − | 1.01817i | |||||
−159.918 | + | 42.8498i | −1.16728 | + | 0.312772i | −0.789871 | − | 0.613274i | ||
−0.377411 | + | 0.926046i | ||||||||
18.6260 | + | 18.6260i | 0.134971 | + | 0.134971i | |||||
38.3858 | − | 66.4861i | 0.276156 | − | 0.478317i | −0.694270 | − | 0.719715i | ||
0.970426 | + | 0.241398i | ||||||||
13.7647 | − | 7.94708i | 0.0983196 | − | 0.0567648i | |||||
44.6976 | − | 166.814i | 0.317004 | − | 1.18307i | |||||
− | 159.800i | − | 1.12535i | |||||||
0 | 0 | |||||||||
321.288 | 2.23116 | |||||||||
29.0584 | + | 7.78617i | 0.200403 | + | 0.0536977i | |||||
−86.2225 | − | 149.342i | −0.590565 | − | 1.02289i | |||||
−25.2012 | − | 14.5499i | −0.171437 | − | 0.0989790i | |||||
−4.33354 | + | 4.33354i | −0.0292807 | + | 0.0292807i | |||||
30.9709 | + | 115.585i | 0.207858 | + | 0.775737i | 0.988559 | + | 0.150833i | ||
−0.780701 | + | 0.624904i | ||||||||
257.420 | − | 68.9754i | 1.71613 | − | 0.459836i | |||||
−158.935 | − | 158.935i | −1.05255 | − | 1.05255i | −0.998541 | − | 0.0540078i | ||
−0.0540078 | − | 0.998541i | ||||||||
−1.95005 | + | 3.37758i | −0.0128293 | + | 0.0222209i | |||||
348.207 | − | 201.037i | 2.27586 | − | 1.31397i | |||||
4.65881 | − | 17.3869i | 0.0302520 | − | 0.112902i | |||||
− | 90.5263i | − | 0.584041i | |||||||
0 | 0 | |||||||||
121.589 | 0.774451 | 0.387225 | − | 0.921985i | ||||||
0.387225 | + | 0.921985i | ||||||||
111.650 | + | 29.9165i | 0.706644 | + | 0.189345i | |||||
164.687 | + | 285.247i | 1.03577 | + | 1.79401i | |||||
−31.8385 | − | 18.3820i | −0.198991 | − | 0.114887i | |||||
10.3539 | − | 10.3539i | 0.0643098 | − | 0.0643098i | |||||
22.2202 | + | 82.9268i | 0.137162 | + | 0.511894i | |||||
−143.124 | + | 38.3498i | −0.878059 | + | 0.235275i | −0.669569 | − | 0.742750i | ||
−0.208489 | + | 0.978025i | ||||||||
−13.1649 | − | 13.1649i | −0.0802738 | − | 0.0802738i | |||||
−4.58550 | + | 7.94233i | −0.0277909 | + | 0.0481353i | |||||
−203.425 | + | 117.447i | −1.22545 | + | 0.707513i | |||||
8.21496 | − | 30.6587i | 0.0491914 | − | 0.183585i | −0.936959 | − | 0.349440i | ||
0.986150 | + | 0.165855i | ||||||||
− | 191.143i | − | 1.13775i | |||||||
0 | 0 | |||||||||
−91.4803 | −0.538120 | |||||||||
−10.5660 | − | 2.83116i | −0.0617897 | − | 0.0165565i | |||||
38.7862 | + | 67.1797i | 0.225501 | + | 0.390580i | |||||
−75.3542 | − | 43.5058i | −0.435574 | − | 0.251478i | 0.266145 | − | 0.963933i | ||
−0.701718 | + | 0.712455i | ||||||||
−160.291 | + | 160.291i | −0.921211 | + | 0.921211i | |||||
−38.3423 | − | 143.095i | −0.219099 | − | 0.817688i | |||||
−22.2374 | + | 5.95849i | −0.126349 | + | 0.0338551i | |||||
263.497 | + | 263.497i | 1.48868 | + | 1.48868i | |||||
99.2079 | − | 171.833i | 0.557348 | − | 0.965354i | |||||
−125.261 | + | 72.3192i | −0.699780 | + | 0.404018i | −0.807265 | − | 0.590189i | ||
0.107486 | + | 0.994207i | ||||||||
10.1606 | − | 37.9200i | 0.0564480 | − | 0.210667i | |||||
− | 57.4932i | − | 0.317642i | −0.987307 | − | 0.158821i | ||||
0.987307 | − | 0.158821i | ||||||||
0 | 0 | |||||||||
−456.473 | −2.49439 | |||||||||
−12.4554 | − | 3.33741i | −0.0676923 | − | 0.0181381i | |||||
−3.12080 | − | 5.40538i | −0.0168692 | − | 0.0292183i | |||||
590.746 | + | 341.068i | 3.17606 | + | 1.83370i | |||||
−20.3722 | + | 20.3722i | −0.108942 | + | 0.108942i | |||||
−13.7100 | − | 51.1665i | −0.0729257 | − | 0.272162i | |||||
230.780 | − | 61.8372i | 1.22106 | − | 0.327181i | |||||
1.75984 | + | 1.75984i | 0.00926233 | + | 0.00926233i | |||||
33.9463 | − | 58.7966i | 0.177729 | − | 0.307836i | −0.763373 | − | 0.645958i | ||
0.941102 | + | 0.338122i | ||||||||
−104.459 | + | 60.3095i | −0.544058 | + | 0.314112i | |||||
−55.6354 | + | 207.634i | −0.288266 | + | 1.07582i | 0.658153 | + | 0.752884i | ||
−0.946419 | + | 0.322940i | ||||||||
159.270i | 0.820979i | |||||||||
0 | 0 | |||||||||
−8.92575 | −0.0455395 | |||||||||
152.818 | + | 40.9476i | 0.775728 | + | 0.207856i | 0.624901 | − | 0.780704i | ||
0.150828 | + | 0.988560i | ||||||||
−22.2299 | − | 38.5032i | −0.112272 | − | 0.194461i | |||||
−36.3122 | − | 20.9649i | −0.182473 | − | 0.105351i | 0.405981 | − | 0.913882i | ||
−0.588454 | + | 0.808530i | ||||||||
−92.2490 | + | 92.2490i | −0.461245 | + | 0.461245i | |||||
122.900 | + | 458.669i | 0.611442 | + | 2.28193i | |||||
171.710 | − | 46.0094i | 0.850047 | − | 0.227769i | |||||
89.1031 | + | 89.1031i | 0.438931 | + | 0.438931i | |||||
95.8468 | − | 166.012i | 0.469837 | − | 0.813782i | |||||
16.4211 | − | 9.48070i | 0.0801027 | − | 0.0462473i | |||||
48.6751 | − | 181.658i | 0.236287 | − | 0.881835i | |||||
− | 36.1665i | − | 0.174717i | |||||||
0 | 0 | |||||||||
0.783817 | 0.00375032 | |||||||||
−117.819 | − | 31.5695i | −0.561042 | − | 0.150331i | |||||
35.3826 | + | 61.2844i | 0.167690 | + | 0.290447i | 0.937607 | − | 0.347696i | ||
−0.769917 | + | 0.638144i | ||||||||
87.4934 | + | 50.5143i | 0.412705 | + | 0.238275i | |||||
−241.146 | + | 241.146i | −1.13214 | + | 1.13214i | |||||
45.5404 | + | 169.959i | 0.212806 | + | 0.794201i | |||||
−76.3114 | + | 20.4476i | −0.354937 | + | 0.0951050i | |||||
−148.776 | − | 148.776i | −0.688779 | − | 0.688779i | |||||
189.594 | − | 328.386i | 0.873705 | − | 1.51330i | |||||
60.7776 | − | 35.0899i | 0.278796 | − | 0.160963i | |||||
−95.2499 | + | 355.477i | −0.434931 | + | 1.62318i | |||||
2.81301i | 0.0127864i | |||||||||
0 | 0 | |||||||||
47.0318 | 0.211855 | |||||||||
−147.428 | − | 39.5031i | −0.661110 | − | 0.177144i | −0.0873632 | − | 0.996177i | ||
−0.573747 | + | 0.819033i | ||||||||
−76.9968 | − | 133.362i | −0.343735 | − | 0.595367i | |||||
−316.884 | − | 182.953i | −1.40837 | − | 0.813124i | |||||
153.469 | − | 153.469i | 0.679065 | − | 0.679065i | |||||
−18.9293 | − | 70.6452i | −0.0833891 | − | 0.311212i | 0.911615 | − | 0.411045i | ||
−0.995004 | + | 0.0998323i | ||||||||
−5.03747 | + | 1.34979i | −0.0220942 | + | 0.00592011i | |||||
−182.706 | − | 182.706i | −0.797845 | − | 0.797845i | 0.184911 | − | 0.982755i | ||
−0.982755 | + | 0.184911i | ||||||||
−4.11431 | + | 7.12619i | −0.0178883 | + | 0.0309834i | |||||
−33.2681 | + | 19.2073i | −0.144018 | + | 0.0831486i | |||||
28.7209 | − | 107.188i | 0.123797 | − | 0.462017i | |||||
− | 263.622i | − | 1.13142i | −0.824603 | − | 0.565712i | ||||
0.824603 | − | 0.565712i | ||||||||
0 | 0 | |||||||||
53.9486 | 0.229568 | |||||||||
110.405 | + | 29.5830i | 0.467818 | + | 0.125352i | |||||
−123.339 | − | 213.630i | −0.520419 | − | 0.901393i | |||||
−331.847 | − | 191.592i | −1.39432 | − | 0.805009i | |||||
260.543 | − | 260.543i | 1.09014 | − | 1.09014i | 0.0946270 | − | 0.995513i | ||
0.995513 | − | 0.0946270i | ||||||||
40.3765 | + | 150.687i | 0.168235 | + | 0.627863i | |||||
59.8004 | − | 16.0235i | 0.248134 | − | 0.0664874i | −0.132608 | − | 0.991169i | ||
0.380742 | + | 0.924681i | ||||||||
−199.147 | − | 199.147i | −0.822921 | − | 0.822921i | |||||
−71.9549 | + | 124.630i | −0.296111 | + | 0.512879i | |||||
−121.255 | + | 70.0067i | −0.496947 | + | 0.286913i | |||||
2.35277 | − | 8.78065i | 0.00960313 | − | 0.0358394i | |||||
142.878i | 0.580806i | |||||||||
0 | 0 | |||||||||
−333.925 | −1.34647 | |||||||||
484.211 | + | 129.744i | 1.94462 | + | 0.521060i | |||||
87.7995 | + | 152.073i | 0.351198 | + | 0.608293i | |||||
97.1096 | + | 56.0663i | 0.386891 | + | 0.223372i | 0.680812 | − | 0.732458i | ||
−0.293921 | + | 0.955830i | ||||||||
116.276 | − | 116.276i | 0.461412 | − | 0.461412i | |||||
0.670731 | + | 2.50320i | 0.00265111 | + | 0.00989408i | |||||
−10.5599 | + | 2.82953i | −0.0415746 | + | 0.0111399i | |||||
138.048 | + | 138.048i | 0.541365 | + | 0.541365i | |||||
−128.790 | + | 223.071i | −0.503087 | + | 0.871372i | |||||
323.389 | − | 186.709i | 1.25832 | − | 0.726493i | 0.285575 | − | 0.958356i | ||
0.972748 | + | 0.231863i | ||||||||
154.077 | − | 575.023i | 0.597198 | − | 2.22877i | |||||
− | 26.1442i | − | 0.100943i | |||||||
0 | 0 | |||||||||
311.240 | 1.19249 | |||||||||
−133.054 | − | 35.6518i | −0.507841 | − | 0.136076i | |||||
−163.801 | − | 283.712i | −0.622818 | − | 1.07875i | −0.988959 | − | 0.148192i | ||
0.366141 | − | 0.930559i | ||||||||
29.2969 | + | 16.9146i | 0.110973 | + | 0.0640704i | |||||
−72.7558 | + | 72.7558i | −0.274550 | + | 0.274550i | |||||
2.69814 | + | 10.0696i | 0.0101434 | + | 0.0378557i | |||||
−409.014 | + | 109.595i | −1.53189 | + | 0.410468i | |||||
102.990 | + | 102.990i | 0.384291 | + | 0.384291i | |||||
−137.084 | + | 237.436i | −0.509605 | + | 0.882661i | 0.490333 | + | 0.871535i | ||
−0.999938 | + | 0.0111263i | ||||||||
−116.277 | + | 67.1324i | −0.430655 | + | 0.248639i | |||||
−58.2447 | + | 217.372i | −0.214925 | + | 0.802112i | 0.771268 | + | 0.636511i | ||
−0.986193 | + | 0.165601i | ||||||||
490.082i | 1.80177i | |||||||||
0 | 0 | |||||||||
389.709 | 1.42230 | |||||||||
25.3256 | + | 6.78597i | 0.0920931 | + | 0.0246763i | |||||
−8.62137 | − | 14.9327i | −0.0312369 | − | 0.0541038i | |||||
349.428 | + | 201.742i | 1.26147 | + | 0.728312i | 0.973360 | − | 0.229284i | ||
0.288114 | + | 0.957596i | ||||||||
−127.783 | + | 127.783i | −0.459651 | + | 0.459651i | |||||
−242.403 | − | 904.661i | −0.868829 | − | 3.24251i | |||||
57.6758 | − | 15.4542i | 0.205985 | − | 0.0551935i | |||||
356.187 | + | 356.187i | 1.26757 | + | 1.26757i | 0.947340 | + | 0.320228i | ||
0.320228 | + | 0.947340i | ||||||||
−203.257 | + | 352.052i | −0.720770 | + | 1.24841i | |||||
302.969 | − | 174.919i | 1.07056 | − | 0.618089i | 0.142226 | − | 0.989834i | ||
0.928335 | + | 0.371746i | ||||||||
−27.0735 | + | 101.040i | −0.0953293 | + | 0.355774i | |||||
− | 5.31137i | − | 0.0186364i | |||||||
0 | 0 | |||||||||
79.4237 | 0.276738 | |||||||||
−367.396 | − | 98.4433i | −1.27568 | − | 0.341817i | |||||
162.156 | + | 280.863i | 0.561095 | + | 0.971845i | |||||
−61.3263 | − | 35.4067i | −0.211470 | − | 0.122092i | |||||
240.346 | − | 240.346i | 0.825931 | − | 0.825931i | |||||
29.2159 | + | 109.035i | 0.100054 | + | 0.373408i | |||||
519.890 | − | 139.304i | 1.77437 | − | 0.475441i | 0.784831 | − | 0.619710i | ||
0.989539 | + | 0.144269i | ||||||||
48.4355 | + | 48.4355i | 0.164747 | + | 0.164747i | |||||
−58.2041 | + | 100.812i | −0.197302 | + | 0.341737i | |||||
−19.9389 | + | 11.5117i | −0.0673611 | + | 0.0388909i | |||||
−10.9442 | + | 40.8443i | −0.0368492 | + | 0.137523i | |||||
− | 281.673i | − | 0.945211i | |||||||
0 | 0 | |||||||||
−174.450 | −0.581499 | |||||||||
−319.646 | − | 85.6489i | −1.06195 | − | 0.284548i | |||||
264.541 | + | 458.198i | 0.875962 | + | 1.51721i | |||||
−328.548 | − | 189.687i | −1.08432 | − | 0.626031i | |||||
9.42790 | − | 9.42790i | 0.0310128 | − | 0.0310128i | |||||
−36.9066 | − | 137.737i | −0.121005 | − | 0.451598i | |||||
−914.195 | + | 244.958i | −2.98757 | + | 0.800516i | |||||
−340.580 | − | 340.580i | −1.10938 | − | 1.10938i | −0.993232 | − | 0.116150i | ||
−0.116150 | − | 0.993232i | ||||||||
−5.89144 | + | 10.2043i | −0.0191280 | + | 0.0331307i | |||||
−347.584 | + | 200.678i | −1.12487 | + | 0.649442i | |||||
−55.1517 | + | 205.829i | −0.177909 | + | 0.663965i | |||||
− | 100.353i | − | 0.322679i | −0.986899 | − | 0.161339i | ||||
0.986899 | − | 0.161339i | ||||||||
0 | 0 | |||||||||
89.9264 | 0.287305 | 0.143652 | − | 0.989628i | ||||||
0.143652 | + | 0.989628i | ||||||||
−276.456 | − | 74.0761i | −0.880432 | − | 0.235911i | |||||
83.7361 | + | 145.035i | 0.265829 | + | 0.460429i | |||||
−65.5265 | − | 37.8317i | −0.207362 | − | 0.119721i | |||||
−285.497 | + | 285.497i | −0.900622 | + | 0.900622i | −0.995490 | − | 0.0948677i | ||
0.0948677 | + | 0.995490i | ||||||||
−200.666 | − | 748.897i | −0.631026 | − | 2.35502i | |||||
−21.5420 | + | 5.77215i | −0.0675297 | + | 0.0180945i | |||||
−26.6436 | − | 26.6436i | −0.0832612 | − | 0.0832612i | |||||
187.754 | − | 325.199i | 0.584902 | − | 1.01308i | |||||
−29.8495 | + | 17.2336i | −0.0927003 | + | 0.0535205i | |||||
4.31856 | − | 16.1171i | 0.0133702 | − | 0.0498981i | |||||
− | 56.1983i | − | 0.173452i | |||||||
0 | 0 | |||||||||
348.783 | 1.06989 | |||||||||
−144.669 | − | 38.7638i | −0.442412 | − | 0.118544i | |||||
−34.9716 | − | 60.5725i | −0.106621 | − | 0.184672i | |||||
195.700 | + | 112.987i | 0.594832 | + | 0.343427i | |||||
15.2648 | − | 15.2648i | 0.0462569 | − | 0.0462569i | |||||
39.7923 | + | 148.507i | 0.120218 | + | 0.448661i | 0.999624 | − | 0.0274116i | ||
−0.879406 | + | 0.476073i | ||||||||
148.521 | − | 39.7962i | 0.447353 | − | 0.119868i | |||||
−45.6613 | − | 45.6613i | −0.137121 | − | 0.137121i | |||||
−37.3566 | + | 64.7036i | −0.111846 | + | 0.193723i | |||||
−128.463 | + | 74.1682i | −0.383472 | + | 0.221398i | |||||
−169.125 | + | 631.184i | −0.503349 | + | 1.87852i | |||||
366.843i | 1.08855i | 0.838905 | + | 0.544277i | ||||||
−0.838905 | + | 0.544277i | ||||||||
0 | 0 | |||||||||
−463.183 | −1.36632 | |||||||||
57.8421 | + | 15.4987i | 0.170124 | + | 0.0455845i | |||||
33.5551 | + | 58.1192i | 0.0984021 | + | 0.170437i | |||||
22.2991 | + | 12.8744i | 0.0652020 | + | 0.0376444i | |||||
254.675 | − | 254.675i | 0.742493 | − | 0.742493i | |||||
75.4252 | + | 281.491i | 0.219259 | + | 0.818287i | |||||
16.9624 | − | 4.54507i | 0.0491665 | − | 0.0131741i | |||||
144.827 | + | 144.827i | 0.418576 | + | 0.418576i | |||||
−200.347 | + | 347.011i | −0.577369 | + | 1.00003i | 0.418411 | + | 0.908258i | ||
−0.995780 | + | 0.0917743i | ||||||||
128.507 | − | 74.1935i | 0.369273 | − | 0.213200i | |||||
116.567 | − | 435.035i | 0.334004 | − | 1.24652i | −0.570941 | − | 0.820991i | ||
0.904945 | − | 0.425529i | ||||||||
348.715i | 0.996327i | |||||||||
0 | 0 | |||||||||
27.2544 | 0.0774273 | |||||||||
−436.385 | − | 116.929i | −1.23622 | − | 0.331244i | −0.419220 | − | 0.907885i | ||
−0.816998 | + | 0.576641i | ||||||||
−438.580 | − | 759.643i | −1.23893 | − | 2.14589i | |||||
−92.2608 | − | 53.2668i | −0.259890 | − | 0.150047i | |||||
−91.8403 | + | 91.8403i | −0.257978 | + | 0.257978i | |||||
211.652 | + | 789.895i | 0.592862 | + | 2.21259i | |||||
328.863 | − | 88.1187i | 0.918613 | − | 0.246142i | |||||
167.150 | + | 167.150i | 0.465598 | + | 0.465598i | 0.900485 | − | 0.434887i | ||
−0.434887 | + | 0.900485i | ||||||||
73.7408 | − | 127.723i | 0.204836 | − | 0.354786i | |||||
312.242 | − | 180.273i | 0.864936 | − | 0.499371i | |||||
−35.0269 | + | 130.722i | −0.0967593 | + | 0.361111i | |||||
601.044i | 1.65577i | |||||||||
0 | 0 | |||||||||
−114.964 | −0.314969 | |||||||||
1037.88 | + | 278.099i | 2.83574 | + | 0.759834i | |||||
−339.395 | − | 587.849i | −0.924782 | − | 1.60177i | −0.791912 | − | 0.610635i | ||
−0.132870 | − | 0.991133i | ||||||||
38.1767 | + | 22.0413i | 0.103741 | + | 0.0598949i | |||||
138.715 | − | 138.715i | 0.375921 | − | 0.375921i | |||||
3.80259 | + | 14.1915i | 0.0102773 | + | 0.0383553i | |||||
−416.300 | + | 111.547i | −1.12210 | + | 0.300666i | |||||
−315.739 | − | 315.739i | −0.848760 | − | 0.848760i | |||||
55.5691 | − | 96.2484i | 0.148979 | − | 0.258039i | −0.781872 | − | 0.623440i | ||
0.930850 | + | 0.365401i | ||||||||
58.7317 | − | 33.9087i | 0.157037 | − | 0.0906651i | |||||
96.9920 | − | 361.979i | 0.258645 | − | 0.965278i | |||||
− | 199.001i | − | 0.529257i | |||||||
0 | 0 | |||||||||
−562.396 | −1.48782 | |||||||||
333.186 | + | 89.2768i | 0.879118 | + | 0.235559i | 0.670027 | − | 0.742337i | ||
0.209091 | + | 0.977896i | ||||||||
−0.814575 | − | 1.41089i | −0.00214362 | − | 0.00371286i | |||||
20.2053 | + | 11.6656i | 0.0530324 | + | 0.0306183i | |||||
−113.004 | + | 113.004i | −0.295823 | + | 0.295823i | |||||
100.507 | + | 375.095i | 0.262419 | + | 0.979361i | 0.963811 | + | 0.266586i | ||
−0.701392 | + | 0.712776i | ||||||||
728.960 | − | 195.324i | 1.89833 | − | 0.508657i | |||||
−8.48544 | − | 8.48544i | −0.0220401 | − | 0.0220401i | |||||
252.996 | − | 438.201i | 0.655429 | − | 1.13524i | |||||
−707.854 | + | 408.680i | −1.82908 | + | 1.05602i | |||||
26.9837 | − | 100.705i | 0.0695457 | − | 0.259548i | |||||
− | 391.807i | − | 1.00722i | −0.863932 | − | 0.503608i | ||||
0.863932 | − | 0.503608i | ||||||||
0 | 0 | |||||||||
55.1672 | 0.141093 | |||||||||
−32.3893 | − | 8.67868i | −0.0826257 | − | 0.0221395i | |||||
146.985 | + | 254.586i | 0.374008 | + | 0.647801i | |||||
−322.516 | − | 186.205i | −0.818568 | − | 0.472600i | |||||
54.4890 | − | 54.4890i | 0.137947 | − | 0.137947i | |||||
7.53243 | + | 28.1114i | 0.0190213 | + | 0.0709884i | |||||
−152.232 | + | 40.7905i | −0.383456 | + | 0.102747i | −0.445397 | − | 0.895333i | ||
0.0619411 | + | 0.998080i | ||||||||
69.7904 | + | 69.7904i | 0.175353 | + | 0.175353i | |||||
11.1239 | − | 19.2671i | 0.0278794 | − | 0.0482886i | |||||
386.244 | − | 222.998i | 0.965610 | − | 0.557495i | |||||
−137.780 | + | 514.202i | −0.343591 | + | 1.28230i | 0.550658 | + | 0.834731i | ||
−0.894249 | + | 0.447569i | ||||||||
− | 1117.75i | − | 2.78047i | |||||||
0 | 0 | |||||||||
−116.365 | −0.288032 | |||||||||
55.2848 | + | 14.8135i | 0.136506 | + | 0.0365766i | |||||
−148.308 | − | 256.878i | −0.365292 | − | 0.632704i | |||||
4.00719 | + | 2.31355i | 0.00984568 | + | 0.00568441i | |||||
509.220 | − | 509.220i | 1.24809 | − | 1.24809i | |||||
72.0792 | + | 269.003i | 0.176233 | + | 0.657710i | 0.996338 | + | 0.0854974i | ||
−0.820106 | + | 0.572212i | ||||||||
−43.1124 | + | 11.5519i | −0.105152 | + | 0.0281755i | |||||
−588.090 | − | 588.090i | −1.43088 | − | 1.43088i | |||||
−61.5536 | + | 106.614i | −0.149402 | + | 0.258772i | |||||
−422.274 | + | 243.800i | −1.02245 | + | 0.590314i | |||||
−22.0338 | + | 82.2314i | −0.0532219 | + | 0.198627i | |||||
156.597i | 0.377342i | |||||||||
0 | 0 | |||||||||
385.661 | 0.924847 | |||||||||
−1.78216 | − | 0.477528i | −0.00426354 | − | 0.00114241i | |||||
244.472 | + | 423.438i | 0.583465 | + | 1.01059i | 0.995065 | + | 0.0992269i | ||
−0.411599 | + | 0.911365i | ||||||||
69.1471 | + | 39.9221i | 0.164636 | + | 0.0950526i | |||||
−375.601 | + | 375.601i | −0.892163 | + | 0.892163i | −0.994726 | − | 0.102563i | ||
0.102563 | + | 0.994726i | ||||||||
−43.1125 | − | 160.898i | −0.102162 | − | 0.381275i | |||||
539.127 | − | 144.459i | 1.27453 | − | 0.341510i | |||||
268.375 | + | 268.375i | 0.632960 | + | 0.632960i | |||||
279.071 | − | 483.365i | 0.656637 | − | 1.13733i | |||||
695.205 | − | 401.377i | 1.63194 | − | 0.942200i | |||||
154.591 | − | 576.941i | 0.362039 | − | 1.35115i | |||||
− | 115.179i | − | 0.269110i | |||||||
0 | 0 | |||||||||
185.966 | 0.432480 | |||||||||
−114.753 | − | 30.7479i | −0.266247 | − | 0.0713407i | 0.123226 | − | 0.992379i | ||
−0.389473 | + | 0.921038i | ||||||||
359.644 | + | 622.922i | 0.832510 | + | 1.44195i | |||||
120.208 | + | 69.4021i | 0.277617 | + | 0.160282i | 0.632344 | − | 0.774688i | ||
−0.354727 | + | 0.934970i | ||||||||
−631.143 | + | 631.143i | −1.45425 | + | 1.45425i | |||||
39.1138 | + | 145.975i | 0.0899168 | + | 0.335574i | |||||
−44.3740 | + | 11.8900i | −0.101775 | + | 0.0272706i | |||||
−1.06127 | − | 1.06127i | −0.00242854 | − | 0.00242854i | |||||
433.138 | − | 750.217i | 0.988900 | − | 1.71282i | |||||
−121.509 | + | 70.1532i | −0.276786 | + | 0.159802i | −0.631967 | − | 0.774995i | ||
0.355182 | + | 0.934797i | ||||||||
−2.73515 | + | 10.2077i | −0.00621624 | + | 0.0231993i | |||||
− | 94.0482i | − | 0.213261i | |||||||
0 | 0 | |||||||||
390.577 | 0.881664 | 0.440832 | − | 0.897590i | ||||||
0.440832 | + | 0.897590i | ||||||||
−29.7377 | − | 7.96819i | −0.0669768 | − | 0.0179464i | |||||
−66.1388 | − | 114.556i | −0.148627 | − | 0.257429i | |||||
311.139 | + | 179.636i | 0.697620 | + | 0.402771i | |||||
−425.058 | + | 425.058i | −0.950913 | + | 0.950913i | |||||
−40.8492 | − | 152.451i | −0.0911813 | − | 0.340293i | |||||
−291.660 | + | 78.1501i | −0.649577 | + | 0.174054i | −0.568538 | − | 0.822657i | ||
−0.0810394 | + | 0.996711i | ||||||||
609.036 | + | 609.036i | 1.35341 | + | 1.35341i | |||||
−7.02837 | + | 12.1735i | −0.0155840 | + | 0.0269922i | |||||
−123.038 | + | 71.0357i | −0.272207 | + | 0.157159i | |||||
292.238 | − | 1090.65i | 0.645116 | − | 2.40761i | |||||
172.158i | 0.379203i | |||||||||
0 | 0 | |||||||||
−19.5921 | −0.0429652 | |||||||||
294.593 | + | 78.9361i | 0.644625 | + | 0.172727i | 0.566297 | − | 0.824201i | ||
0.0783273 | + | 0.996928i | ||||||||
304.107 | + | 526.729i | 0.663990 | + | 1.15006i | |||||
779.556 | + | 450.077i | 1.69838 | + | 0.980559i | |||||
3.80876 | − | 3.80876i | 0.00827992 | − | 0.00827992i | |||||
−209.108 | − | 780.401i | −0.453596 | − | 1.69284i | −0.692183 | − | 0.721722i | ||
0.238587 | − | 0.971121i | ||||||||
87.3432 | − | 23.4035i | 0.189054 | − | 0.0506570i | |||||
411.381 | + | 411.381i | 0.888512 | + | 0.888512i | 0.994380 | − | 0.105868i | ||
−0.105868 | + | 0.994380i | ||||||||
−189.682 | + | 328.540i | −0.408798 | + | 0.708059i | |||||
393.832 | − | 227.379i | 0.846951 | − | 0.488988i | |||||
−160.608 | + | 599.395i | −0.344651 | + | 1.28626i | |||||
− | 279.834i | − | 0.599215i | −0.954062 | − | 0.299608i | ||||
0.954062 | − | 0.299608i | ||||||||
0 | 0 | |||||||||
−621.338 | −1.32481 | |||||||||
−122.663 | − | 32.8673i | −0.260984 | − | 0.0699305i | |||||
305.400 | + | 528.969i | 0.648408 | + | 1.12308i | |||||
371.868 | + | 214.698i | 0.787856 | + | 0.454869i | |||||
41.4138 | − | 41.4138i | 0.0875555 | − | 0.0875555i | |||||
150.285 | + | 560.872i | 0.317057 | + | 1.18327i | |||||
−14.6673 | + | 3.93008i | −0.0308785 | + | 0.00827386i | |||||
177.364 | + | 177.364i | 0.372613 | + | 0.372613i | |||||
−532.255 | + | 921.894i | −1.11584 | + | 1.93269i | |||||
−751.128 | + | 433.664i | −1.57140 | + | 0.907247i | |||||
69.2853 | − | 258.576i | 0.144646 | − | 0.539825i | −0.855125 | − | 0.518422i | ||
0.999771 | − | 0.0214037i | ||||||||
− | 184.684i | − | 0.384758i | |||||||
0 | 0 | |||||||||
−145.730 | −0.302344 | |||||||||
71.0507 | + | 19.0380i | 0.147103 | + | 0.0394161i | |||||
92.1788 | + | 159.658i | 0.190452 | + | 0.329873i | |||||
91.9548 | + | 53.0902i | 0.189598 | + | 0.109464i | |||||
239.532 | − | 239.532i | 0.492864 | − | 0.492864i | |||||
−140.372 | − | 523.877i | −0.288239 | − | 1.07572i | −0.946440 | − | 0.322881i | ||
0.658201 | − | 0.752843i | ||||||||
−508.073 | + | 136.138i | −1.04113 | + | 0.278971i | |||||
−526.330 | − | 526.330i | −1.07634 | − | 1.07634i | |||||
−10.6989 | + | 18.5311i | −0.0218346 | + | 0.0378186i | |||||
20.3866 | − | 11.7702i | 0.0415205 | − | 0.0239719i | −0.479096 | − | 0.877762i | ||
0.520617 | + | 0.853791i | ||||||||
24.2067 | − | 90.3405i | 0.0492005 | − | 0.183619i | |||||
474.756i | 0.962993i | |||||||||
0 | 0 | |||||||||
−29.6399 | −0.0598786 | |||||||||
1102.68 | + | 295.461i | 2.22314 | + | 0.595688i | |||||
−223.119 | − | 386.453i | −0.448932 | − | 0.777572i | |||||
−1021.90 | − | 589.996i | −2.05201 | − | 1.18473i | |||||
−105.552 | + | 105.552i | −0.211527 | + | 0.211527i | −0.804916 | − | 0.593389i | ||
0.593389 | + | 0.804916i | ||||||||
−29.7502 | − | 111.029i | −0.0595005 | − | 0.222059i | |||||
154.014 | − | 41.2678i | 0.307412 | − | 0.0823709i | |||||
−186.640 | − | 186.640i | −0.371793 | − | 0.371793i | |||||
328.495 | − | 568.970i | 0.653071 | − | 1.13115i | −0.329302 | − | 0.944225i | ||
0.982374 | − | 0.186928i | ||||||||
534.993 | − | 308.878i | 1.06149 | − | 0.612854i | |||||
30.6731 | − | 114.473i | 0.0607387 | − | 0.226680i | |||||
− | 6.10015i | − | 0.0120556i | |||||||
0 | 0 | |||||||||
7.15632 | 0.0140873 | |||||||||
−754.970 | − | 202.293i | −1.48324 | − | 0.397433i | −0.575792 | − | 0.817596i | ||
−0.907449 | + | 0.420163i | ||||||||
−229.776 | − | 397.983i | −0.450540 | − | 0.780359i | |||||
−417.034 | − | 240.775i | −0.816113 | − | 0.471183i | |||||
3.82036 | − | 3.82036i | 0.00746164 | − | 0.00746164i | |||||
−6.33831 | − | 23.6549i | −0.0123554 | − | 0.0461109i | |||||
−849.037 | + | 227.499i | −1.65182 | + | 0.442605i | |||||
−88.6556 | − | 88.6556i | −0.172147 | − | 0.172147i | |||||
−194.843 | + | 337.477i | −0.377602 | + | 0.654026i | |||||
−34.6357 | + | 19.9970i | −0.0669937 | + | 0.0386788i | |||||
−15.9279 | + | 59.4439i | −0.0307489 | + | 0.114757i | |||||
− | 437.102i | − | 0.842201i | |||||||
0 | 0 | |||||||||
408.859 | 0.784758 | 0.392379 | − | 0.919804i | ||||||
0.392379 | + | 0.919804i | ||||||||
−707.664 | − | 189.618i | −1.35568 | − | 0.363253i | |||||
−179.678 | − | 311.211i | −0.343553 | − | 0.595050i | 0.641537 | − | 0.767092i | ||
−0.985090 | + | 0.172042i | ||||||||
78.0887 | + | 45.0845i | 0.149024 | + | 0.0860392i | |||||
526.227 | − | 526.227i | 1.00234 | − | 1.00234i | |||||
199.586 | + | 744.867i | 0.379442 | + | 1.41610i | |||||
1379.94 | − | 369.754i | 2.61849 | − | 0.701621i | |||||
−81.7770 | − | 81.7770i | −0.154881 | − | 0.154881i | |||||
−262.019 | + | 453.830i | −0.495310 | + | 0.857902i | |||||
209.750 | − | 121.099i | 0.395754 | − | 0.228489i | |||||
−311.707 | + | 1163.31i | −0.587020 | + | 2.19079i | |||||
− | 6.82403i | − | 0.0128271i | |||||||
0 | 0 | |||||||||
996.741 | 1.86656 | |||||||||
113.306 | + | 30.3604i | 0.211788 | + | 0.0567484i | |||||
273.585 | + | 473.863i | 0.510420 | + | 0.884073i | |||||
−629.246 | − | 363.295i | −1.17178 | − | 0.676528i | |||||
456.340 | − | 456.340i | 0.848216 | − | 0.848216i | |||||
1.74419 | + | 6.50939i | 0.00323597 | + | 0.0120768i | |||||
84.8943 | − | 22.7473i | 0.157212 | − | 0.0421247i | |||||
−62.1232 | − | 62.1232i | −0.114830 | − | 0.114830i | 0.647357 | − | 0.762187i | ||
−0.762187 | + | 0.647357i | ||||||||
264.861 | − | 458.753i | 0.488674 | − | 0.846408i | |||||
250.123 | − | 144.409i | 0.460632 | − | 0.265946i | |||||
150.162 | − | 560.414i | 0.276034 | − | 1.03017i | |||||
− | 46.7868i | − | 0.0858473i | |||||||
0 | 0 | |||||||||
−215.610 | −0.394167 | −0.197084 | − | 0.980387i | ||||||
−0.197084 | + | 0.980387i | ||||||||
−246.409 | − | 66.0251i | −0.449652 | − | 0.120484i | |||||
−737.641 | − | 1277.63i | −1.34361 | − | 2.32720i | |||||
−53.4484 | − | 30.8585i | −0.0971789 | − | 0.0561063i | |||||
9.13306 | − | 9.13306i | 0.0165754 | − | 0.0165754i | |||||
−16.7655 | − | 62.5695i | −0.0303722 | − | 0.113351i | |||||
311.780 | − | 83.5411i | 0.563797 | − | 0.151069i | |||||
−671.584 | − | 671.584i | −1.21225 | − | 1.21225i | |||||
15.6773 | − | 27.1539i | 0.0282474 | − | 0.0489260i | |||||
102.445 | − | 59.1467i | 0.184254 | − | 0.106379i | |||||
−235.589 | + | 879.229i | −0.422960 | + | 1.57851i | 0.345377 | + | 0.938464i | ||
−0.768338 | + | 0.640045i | ||||||||
2204.60i | 3.95090i | |||||||||
0 | 0 | |||||||||
−204.129 | −0.364516 | |||||||||
−139.799 | − | 37.4590i | −0.249196 | − | 0.0667718i | |||||
−592.858 | − | 1026.86i | −1.05491 | − | 1.82715i | |||||
203.525 | + | 117.505i | 0.361501 | + | 0.208713i | 0.669739 | − | 0.742597i | ||
−0.308238 | + | 0.951309i | ||||||||
188.162 | − | 188.162i | 0.333621 | − | 0.333621i | |||||
−37.4491 | − | 139.762i | −0.0662816 | − | 0.247366i | |||||
−795.425 | + | 213.133i | −1.40534 | + | 0.376561i | |||||
169.522 | + | 169.522i | 0.298981 | + | 0.298981i | |||||
−196.486 | + | 340.324i | −0.345926 | + | 0.599161i | |||||
−607.150 | + | 350.538i | −1.06705 | + | 0.616060i | −0.927373 | − | 0.374137i | ||
−0.139674 | + | 0.990198i | ||||||||
−3.23587 | + | 12.0764i | −0.00567697 | + | 0.0211867i | |||||
− | 323.381i | − | 0.566341i | −0.959070 | − | 0.283170i | ||||
0.959070 | − | 0.283170i | ||||||||
0 | 0 | |||||||||
341.058 | 0.595214 | |||||||||
−180.585 | − | 48.3877i | −0.314608 | − | 0.0842991i | |||||
−25.1023 | − | 43.4784i | −0.0436562 | − | 0.0756147i | |||||
−337.603 | − | 194.915i | −0.586116 | − | 0.338394i | |||||
465.169 | − | 465.169i | 0.806186 | − | 0.806186i | −0.177868 | − | 0.984054i | ||
0.984054 | + | 0.177868i | ||||||||
−197.583 | − | 737.388i | −0.341838 | − | 1.27576i | |||||
−1043.05 | + | 279.484i | −1.80147 | + | 0.482701i | |||||
32.7773 | + | 32.7773i | 0.0565126 | + | 0.0565126i | |||||
−327.969 | + | 568.059i | −0.564491 | + | 0.977727i | |||||
−692.900 | + | 400.046i | −1.19055 | + | 0.687364i | |||||
19.7421 | − | 73.6784i | 0.0338629 | − | 0.126378i | |||||
424.068i | 0.726143i | |||||||||
0 | 0 | |||||||||
−1266.94 | −2.16201 | |||||||||
220.274 | + | 59.0221i | 0.375253 | + | 0.100549i | 0.441516 | − | 0.897253i | ||
−0.0662628 | + | 0.997802i | ||||||||
−22.4192 | − | 38.8313i | −0.0381280 | − | 0.0660396i | |||||
−33.6596 | − | 19.4334i | −0.0571470 | − | 0.0329939i | |||||
193.757 | − | 193.757i | 0.328401 | − | 0.328401i | |||||
205.700 | + | 767.683i | 0.348054 | + | 1.29896i | |||||
76.0271 | − | 20.3714i | 0.128424 | − | 0.0344112i | |||||
332.603 | + | 332.603i | 0.560883 | + | 0.560883i | 0.929558 | − | 0.368675i | ||
−0.368675 | + | 0.929558i | ||||||||
49.7675 | − | 86.1999i | 0.0837837 | − | 0.145118i | |||||
−221.232 | + | 127.729i | −0.371819 | + | 0.214670i | |||||
−47.7215 | + | 178.099i | −0.0800696 | + | 0.298824i | |||||
− | 210.634i | − | 0.352821i | |||||||
0 | 0 | |||||||||
−1027.71 | −1.71571 | −0.857853 | − | 0.513895i | ||||||
−0.857853 | + | 0.513895i | ||||||||
−633.033 | − | 169.621i | −1.05506 | − | 0.282701i | |||||
230.493 | + | 399.225i | 0.383515 | + | 0.664268i | 0.991562 | − | 0.129633i | ||
−0.608047 | + | 0.793901i | ||||||||
674.597 | + | 389.479i | 1.12059 | + | 0.646975i | |||||
−1085.18 | + | 1085.18i | −1.79963 | + | 1.79963i | |||||
−89.6377 | − | 334.532i | −0.148407 | − | 0.553862i | |||||
−181.361 | + | 48.5954i | −0.299769 | + | 0.0803230i | |||||
631.454 | + | 631.454i | 1.04200 | + | 1.04200i | |||||
−183.169 | + | 317.257i | −0.301761 | + | 0.522665i | −0.976535 | − | 0.215360i | ||
0.674774 | + | 0.738024i | ||||||||
−13.6696 | + | 7.89216i | −0.0224829 | + | 0.0129805i | |||||
−163.836 | + | 611.445i | −0.269025 | + | 1.00401i | |||||
335.657i | 0.550258i | |||||||||
0 | 0 | |||||||||
619.537 | 1.01232 | |||||||||
130.022 | + | 34.8392i | 0.212107 | + | 0.0568339i | 0.363308 | − | 0.931669i | ||
−0.151201 | + | 0.988503i | ||||||||
566.882 | + | 981.868i | 0.923260 | + | 1.59913i | |||||
82.4911 | + | 47.6263i | 0.134132 | + | 0.0774411i | |||||
−31.3003 | + | 31.3003i | −0.0508122 | + | 0.0508122i | |||||
−204.976 | − | 764.980i | −0.332214 | − | 1.23984i | −0.906858 | − | 0.421436i | ||
0.574645 | − | 0.818403i | ||||||||
912.559 | − | 244.519i | 1.47663 | − | 0.395662i | |||||
170.666 | + | 170.666i | 0.275713 | + | 0.275713i | 0.831395 | − | 0.555682i | ||
−0.555682 | + | 0.831395i | ||||||||
69.7437 | − | 120.800i | 0.112490 | − | 0.194838i | |||||
70.1207 | − | 40.4842i | 0.112916 | − | 0.0651919i | |||||
−61.1386 | + | 228.172i | −0.0982935 | + | 0.366836i | |||||
− | 554.072i | − | 0.889361i | |||||||
0 | 0 | |||||||||
−446.368 | −0.714189 | |||||||||
−204.465 | − | 54.7863i | −0.326622 | − | 0.0875180i | |||||
1.96875 | + | 3.40998i | 0.00313995 | + | 0.00543856i | |||||
162.250 | + | 93.6750i | 0.258360 | + | 0.149164i | |||||
69.6503 | − | 69.6503i | 0.110732 | − | 0.110732i | |||||
−102.030 | − | 380.781i | −0.161952 | − | 0.604414i | |||||
−76.9356 | + | 20.6148i | −0.121926 | + | 0.0326701i | −0.319266 | − | 0.947665i | ||
0.197340 | + | 0.980335i | ||||||||
−200.994 | − | 200.994i | −0.318029 | − | 0.318029i | |||||
−177.744 | + | 307.862i | −0.280796 | + | 0.486354i | |||||
823.068 | − | 475.199i | 1.29821 | − | 0.749525i | |||||
−1.88636 | + | 7.03999i | −0.00297064 | + | 0.0110866i | |||||
507.517i | 0.797983i | |||||||||
0 | 0 | |||||||||
52.4964 | 0.0822828 | |||||||||
−1064.63 | − | 285.266i | −1.66608 | − | 0.446426i | |||||
117.875 | + | 204.166i | 0.184180 | + | 0.319009i | |||||
−449.661 | − | 259.612i | −0.701500 | − | 0.405011i | 0.106406 | − | 0.994323i | ||
−0.807906 | + | 0.589312i | ||||||||
−625.017 | + | 625.017i | −0.973546 | + | 0.973546i | |||||
129.563 | + | 483.537i | 0.201498 | + | 0.752002i | 0.990488 | + | 0.137596i | ||
−0.788990 | + | 0.614406i | ||||||||
21.7933 | − | 5.83949i | 0.0338405 | − | 0.00906753i | |||||
−280.632 | − | 280.632i | −0.435088 | − | 0.435088i | |||||
−19.6382 | + | 34.0143i | −0.0303997 | + | 0.0526538i | |||||
257.204 | − | 148.497i | 0.397533 | − | 0.229516i | −0.287886 | − | 0.957665i | ||
0.685419 | + | 0.728149i | ||||||||
54.6427 | − | 203.929i | 0.0843252 | − | 0.314706i | |||||
− | 86.2973i | − | 0.132970i | |||||||
0 | 0 | |||||||||
1904.85 | 2.92604 | |||||||||
−220.532 | − | 59.0914i | −0.338239 | − | 0.0906309i | |||||
445.183 | + | 771.079i | 0.681750 | + | 1.18083i | 0.974446 | + | 0.224620i | ||
−0.292696 | + | 0.956205i | ||||||||
305.316 | + | 176.274i | 0.466844 | + | 0.269532i | |||||
−64.9353 | + | 64.9353i | −0.0991378 | + | 0.0991378i | |||||
61.8865 | + | 230.964i | 0.0943392 | + | 0.352079i | |||||
−1148.87 | + | 307.840i | −1.74866 | + | 0.468553i | |||||
−376.126 | − | 376.126i | −0.571620 | − | 0.571620i | |||||
321.640 | − | 557.097i | 0.488073 | − | 0.845367i | −0.511833 | − | 0.859085i | ||
0.999906 | + | 0.0137177i | ||||||||
−12.2379 | + | 7.06558i | −0.0185423 | + | 0.0107054i | |||||
−52.5302 | + | 196.045i | −0.0794708 | + | 0.296589i | −0.994210 | − | 0.107456i | ||
0.914739 | + | 0.404045i | ||||||||
− | 361.902i | − | 0.546680i | |||||||
0 | 0 | |||||||||
577.641 | 0.869941 | |||||||||
6.71309 | + | 1.79877i | 0.0100949 | + | 0.00270491i | |||||
76.0014 | + | 131.638i | 0.114116 | + | 0.197655i | |||||
36.9828 | + | 21.3520i | 0.0554465 | + | 0.0320120i | |||||
34.5824 | − | 34.5824i | 0.0517700 | − | 0.0517700i | |||||
−198.444 | − | 740.602i | −0.296627 | − | 1.10703i | |||||
337.272 | − | 90.3717i | 0.503390 | − | 0.134883i | |||||
74.7492 | + | 74.7492i | 0.111400 | + | 0.111400i | |||||
386.793 | − | 669.945i | 0.575585 | − | 0.996942i | |||||
−236.376 | + | 136.472i | −0.351228 | + | 0.202781i | −0.665226 | − | 0.746642i | ||
0.313998 | + | 0.949424i | ||||||||
223.493 | − | 834.088i | 0.331592 | − | 1.23752i | |||||
− | 819.179i | − | 1.21360i | |||||||
0 | 0 | |||||||||
−413.547 | −0.610852 | −0.305426 | − | 0.952216i | ||||||
−0.305426 | + | 0.952216i | ||||||||
1053.14 | + | 282.187i | 1.55330 | + | 0.416205i | |||||
222.379 | + | 385.172i | 0.327510 | + | 0.567263i | |||||
194.824 | + | 112.482i | 0.286506 | + | 0.165415i | |||||
259.795 | − | 259.795i | 0.381490 | − | 0.381490i | |||||
−40.8859 | − | 152.588i | −0.0599499 | − | 0.223736i | |||||
1155.66 | − | 309.658i | 1.69203 | − | 0.453379i | 0.721121 | − | 0.692809i | ||
0.970914 | + | 0.239430i | ||||||||
−11.9183 | − | 11.9183i | −0.0174244 | − | 0.0174244i | |||||
129.904 | − | 225.000i | 0.189640 | − | 0.328466i | |||||
−734.210 | + | 423.896i | −1.07028 | + | 0.617925i | |||||
335.947 | − | 1253.77i | 0.489006 | − | 1.82500i | |||||
− | 996.265i | − | 1.44806i | |||||||
0 | 0 | |||||||||
−41.3364 | −0.0599078 | |||||||||
816.053 | + | 218.661i | 1.18097 | + | 0.316441i | 0.795313 | − | 0.606200i | ||
0.385661 | + | 0.922640i | ||||||||
−67.0359 | − | 116.110i | −0.0968727 | − | 0.167788i | |||||
−107.520 | − | 62.0764i | −0.155151 | − | 0.0895764i | |||||
666.939 | − | 666.939i | 0.961007 | − | 0.961007i | |||||
31.1813 | + | 116.370i | 0.0448652 | + | 0.167439i | |||||
538.459 | − | 144.280i | 0.773647 | − | 0.207298i | |||||
211.591 | + | 211.591i | 0.303574 | + | 0.303574i | |||||
−530.077 | + | 918.121i | −0.759423 | + | 1.31536i | |||||
1146.88 | − | 662.152i | 1.64074 | − | 0.947284i | |||||
59.0797 | − | 220.489i | 0.0843996 | − | 0.314984i | |||||
765.186i | 1.09156i | 0.837927 | + | 0.545782i | ||||||
−0.837927 | + | 0.545782i | ||||||||
0 | 0 | |||||||||
−2.67978 | −0.00381192 | |||||||||
26.9815 | + | 7.22966i | 0.0383259 | + | 0.0102694i | |||||
135.505 | + | 234.702i | 0.192206 | + | 0.332911i | |||||
920.969 | + | 531.721i | 1.30449 | + | 0.753147i | |||||
351.015 | − | 351.015i | 0.496485 | − | 0.496485i | |||||
148.610 | + | 554.620i | 0.209901 | + | 0.783361i | |||||
−468.858 | + | 125.630i | −0.661295 | + | 0.177193i | −0.573830 | − | 0.818974i | ||
−0.0874645 | + | 0.996168i | ||||||||
177.321 | + | 177.321i | 0.249748 | + | 0.249748i | |||||
398.622 | − | 690.434i | 0.560650 | − | 0.971075i | |||||
−422.563 | + | 243.967i | −0.593488 | + | 0.342650i | |||||
33.2592 | − | 124.125i | 0.0466469 | − | 0.174089i | |||||
− | 1924.92i | − | 2.69597i | |||||||
0 | 0 | |||||||||
−222.866 | −0.311266 | |||||||||
1787.91 | + | 479.068i | 2.49359 | + | 0.668157i | |||||
−278.214 | − | 481.881i | −0.387484 | − | 0.671143i | |||||
−732.510 | − | 422.915i | −1.01879 | − | 0.588199i | −0.105037 | − | 0.994468i | ||
−0.913753 | + | 0.406269i | ||||||||
−356.515 | + | 356.515i | −0.495159 | + | 0.495159i | |||||
−135.924 | − | 507.277i | −0.188522 | − | 0.703574i | |||||
−819.771 | + | 219.657i | −1.13542 | + | 0.304234i | |||||
219.913 | + | 219.913i | 0.304168 | + | 0.304168i | |||||
44.2942 | − | 76.7199i | 0.0611799 | − | 0.105967i | |||||
374.165 | − | 216.024i | 0.516090 | − | 0.297965i | |||||
366.177 | − | 1366.59i | 0.504376 | − | 1.88236i | |||||
1019.65i | 1.40255i | 0.712892 | + | 0.701274i | ||||||
−0.712892 | + | 0.701274i | ||||||||
0 | 0 | |||||||||
−1051.18 | −1.44195 | |||||||||
261.392 | + | 70.0398i | 0.358072 | + | 0.0959450i | |||||
−623.388 | − | 1079.74i | −0.852788 | − | 1.47707i | |||||
−609.125 | − | 351.678i | −0.832138 | − | 0.480435i | |||||
−565.267 | + | 565.267i | −0.771170 | + | 0.771170i | −0.978311 | − | 0.207141i | ||
0.207141 | + | 0.978311i | ||||||||
413.542 | + | 1543.36i | 0.563409 | + | 2.10267i | |||||
44.1096 | − | 11.8191i | 0.0600130 | − | 0.0160804i | |||||
−36.9019 | − | 36.9019i | −0.0501385 | − | 0.0501385i | |||||
54.9834 | − | 95.2341i | 0.0746044 | − | 0.129219i | |||||
−399.905 | + | 230.885i | −0.541877 | + | 0.312853i | |||||
72.6381 | − | 271.089i | 0.0982924 | − | 0.366832i | −0.899206 | − | 0.437526i | ||
0.997498 | + | 0.0706941i | ||||||||
− | 9.61737i | − | 0.0129964i | |||||||
0 | 0 | |||||||||
1014.50 | 1.36725 | |||||||||
941.890 | + | 252.379i | 1.26768 | + | 0.339675i | 0.829143 | − | 0.559036i | ||
0.438541 | + | 0.898711i | ||||||||
−838.736 | − | 1452.73i | −1.12733 | − | 1.95260i | |||||
−162.625 | − | 93.8913i | −0.218288 | − | 0.126029i | |||||
−184.985 | + | 184.985i | −0.247969 | + | 0.247969i | |||||
419.321 | + | 1564.93i | 0.561340 | + | 2.09495i | |||||
−42.8803 | + | 11.4897i | −0.0573266 | + | 0.0153606i | |||||
347.437 | + | 347.437i | 0.463867 | + | 0.463867i | |||||
−441.060 | + | 763.939i | −0.588081 | + | 1.01859i | |||||
732.187 | − | 422.729i | 0.974950 | − | 0.562888i | 0.0742082 | − | 0.997243i | ||
0.900742 | + | 0.434355i | ||||||||
−176.078 | + | 657.133i | −0.234146 | + | 0.873847i | |||||
563.297i | 0.748071i | |||||||||
0 | 0 | |||||||||
352.722 | 0.467181 | |||||||||
355.597 | + | 95.2819i | 0.470366 | + | 0.126034i | |||||
607.165 | + | 1051.64i | 0.802067 | + | 1.38922i | 0.918253 | + | 0.395994i | ||
−0.116186 | + | 0.993227i | ||||||||
−703.172 | − | 405.976i | −0.927667 | − | 0.535589i | |||||
−9.20542 | + | 9.20542i | −0.0121283 | + | 0.0121283i | |||||
−1.58405 | − | 5.91177i | −0.00208428 | − | 0.00777865i | |||||
647.756 | − | 173.566i | 0.851191 | − | 0.228076i | 0.193254 | − | 0.981149i | ||
0.657937 | + | 0.753073i | ||||||||
−38.8337 | − | 38.8337i | −0.0509629 | − | 0.0509629i | |||||
97.9880 | − | 169.720i | 0.128425 | − | 0.222438i | |||||
90.5968 | − | 52.3061i | 0.118582 | − | 0.0684635i | |||||
−163.306 | + | 609.466i | −0.213472 | + | 0.796687i | |||||
− | 914.084i | − | 1.19332i | |||||||
0 | 0 | |||||||||
−1293.95 | −1.68484 | |||||||||
−1053.30 | − | 282.232i | −1.36971 | − | 0.367011i | −0.502334 | − | 0.864673i | ||
−0.867371 | + | 0.497662i | ||||||||
14.1237 | + | 24.4629i | 0.0183424 | + | 0.0317700i | |||||
1624.54 | + | 937.931i | 2.10706 | + | 1.21651i | |||||
−234.207 | + | 234.207i | −0.303377 | + | 0.303377i | |||||
−41.9712 | − | 156.639i | −0.0542965 | − | 0.202637i | 0.933449 | − | 0.358710i | ||
−0.987746 | + | 0.156073i | ||||||||
1858.43 | − | 497.964i | 2.40107 | − | 0.643364i | |||||
−919.316 | − | 919.316i | −1.18621 | − | 1.18621i | |||||
195.834 | − | 339.195i | 0.252364 | − | 0.437107i | |||||
113.740 | − | 65.6677i | 0.146383 | − | 0.0845144i | |||||
−238.702 | + | 890.849i | −0.306815 | + | 1.14505i | |||||
− | 8.14093i | − | 0.0104505i | |||||||
0 | 0 | |||||||||
78.9770 | 0.101123 | |||||||||
−125.433 | − | 33.6098i | −0.160401 | − | 0.0429792i | |||||
348.397 | + | 603.442i | 0.444952 | + | 0.770679i | |||||
99.2756 | + | 57.3168i | 0.126627 | + | 0.0731082i | |||||
−134.920 | + | 134.920i | −0.171873 | + | 0.171873i | |||||
−179.097 | − | 668.398i | −0.227858 | − | 0.850379i | |||||
−8.49841 | + | 2.27714i | −0.0107985 | + | 0.00289345i | −0.264214 | − | 0.964464i | ||
0.253416 | + | 0.967357i | ||||||||
172.376 | + | 172.376i | 0.218752 | + | 0.218752i | |||||
822.854 | − | 1425.22i | 1.04291 | − | 1.80637i | |||||
−157.088 | + | 90.6948i | −0.198846 | + | 0.114804i | |||||
156.863 | − | 585.421i | 0.198310 | − | 0.740103i | |||||
109.333i | 0.138047i | |||||||||
0 | 0 | |||||||||
370.980 | 0.467230 | |||||||||
−499.267 | − | 133.778i | −0.628008 | − | 0.168274i | |||||
−32.3037 | − | 55.9517i | −0.0405826 | − | 0.0702911i | |||||
618.344 | + | 357.001i | 0.775840 | + | 0.447931i | 0.834954 | − | 0.550320i | ||
−0.0591141 | + | 0.998251i | ||||||||
−37.0305 | + | 37.0305i | −0.0464042 | + | 0.0464042i | |||||
220.353 | + | 822.368i | 0.275786 | + | 1.02925i | |||||
−510.001 | + | 136.654i | −0.637502 | + | 0.170818i | |||||
−967.696 | − | 967.696i | −1.20811 | − | 1.20811i | |||||
626.540 | − | 1085.20i | 0.781221 | − | 1.35312i | |||||
73.8083 | − | 42.6132i | 0.0919157 | − | 0.0530676i | |||||
−189.370 | + | 706.740i | −0.235535 | + | 0.879030i | |||||
22.9782i | 0.0285444i | |||||||||
0 | 0 | |||||||||
−1377.28 | −1.70666 | |||||||||
−422.259 | − | 113.144i | −0.522598 | − | 0.140030i | |||||
−190.814 | − | 330.499i | −0.235864 | − | 0.408528i | 0.723659 | − | 0.690157i | ||
−0.959523 | + | 0.281629i | ||||||||
−116.676 | − | 67.3627i | −0.144044 | − | 0.0831639i | |||||
139.562 | − | 139.562i | 0.172086 | − | 0.172086i | −0.615809 | − | 0.787895i | ||
0.787895 | + | 0.615809i | ||||||||
50.2533 | + | 187.548i | 0.0618883 | + | 0.230970i | |||||
−1091.97 | + | 292.592i | −1.34314 | + | 0.359892i | |||||
−7.70163 | − | 7.70163i | −0.00946146 | − | 0.00946146i | |||||
116.261 | − | 201.371i | 0.142652 | − | 0.247081i | |||||
−2132.09 | + | 1230.96i | −2.61286 | + | 1.50853i | |||||
−8.77901 | + | 32.7637i | −0.0107454 | + | 0.0401025i | |||||
− | 655.544i | − | 0.801399i | |||||||
0 | 0 | |||||||||
29.2167 | 0.0356301 | |||||||||
−732.854 | − | 196.368i | −0.892635 | − | 0.239181i | −0.216785 | − | 0.976219i | ||
−0.675851 | + | 0.737039i | ||||||||
978.851 | + | 1695.42i | 1.19082 | + | 2.06256i | |||||
−1372.60 | − | 792.473i | −1.66781 | − | 0.962908i | −0.968818 | − | 0.247773i | ||
−0.698987 | − | 0.715134i | ||||||||
−327.025 | + | 327.025i | −0.396875 | + | 0.396875i | |||||
34.0893 | + | 127.223i | 0.0413204 | + | 0.154210i | |||||
1108.65 | − | 297.062i | 1.34219 | − | 0.359640i | |||||
380.972 | + | 380.972i | 0.460668 | + | 0.460668i | 0.898874 | − | 0.438207i | ||
−0.438207 | + | 0.898874i | ||||||||
27.8635 | − | 48.2611i | 0.0336516 | − | 0.0582863i | |||||
−926.803 | + | 535.090i | −1.11798 | + | 0.645464i | −0.940884 | − | 0.338730i | ||
−0.177093 | + | 0.984194i | ||||||||
95.4042 | − | 356.053i | 0.114945 | − | 0.428980i | |||||
2026.91i | 2.43912i | |||||||||
0 | 0 | |||||||||
143.458 | 0.172219 | |||||||||
−876.876 | − | 234.958i | −1.05141 | − | 0.281724i | |||||
24.9045 | + | 43.1359i | 0.0298258 | + | 0.0516597i | |||||
1.04594 | + | 0.603872i | 0.00125112 | + | 0.000722335i | |||||
1482.64 | − | 1482.64i | 1.77138 | − | 1.77138i | |||||
−297.882 | − | 1111.71i | −0.355467 | − | 1.32662i | |||||
−811.649 | + | 217.481i | −0.967400 | + | 0.259214i | −0.707730 | − | 0.706483i | ||
−0.259670 | + | 0.965697i | ||||||||
212.100 | + | 212.100i | 0.252500 | + | 0.252500i | |||||
236.750 | − | 410.062i | 0.281510 | − | 0.487589i | |||||
1082.83 | − | 625.172i | 1.28602 | − | 0.742485i | |||||
−654.930 | + | 2444.23i | −0.776904 | + | 2.89945i | |||||
109.038i | 0.129192i | |||||||||
0 | 0 | |||||||||
−1313.82 | −1.55298 | |||||||||
−759.666 | − | 203.552i | −0.896890 | − | 0.240321i | |||||
−648.757 | − | 1123.68i | −0.765043 | − | 1.32509i | |||||
1521.96 | + | 878.705i | 1.79265 | + | 1.03499i | |||||
−929.004 | + | 929.004i | −1.09295 | + | 1.09295i | |||||
−2.29315 | − | 8.55817i | −0.00269466 | − | 0.0100566i | |||||
−507.573 | + | 136.004i | −0.595743 | + | 0.159629i | |||||
500.522 | + | 500.522i | 0.586778 | + | 0.586778i | 0.936757 | − | 0.349979i | ||
−0.349979 | + | 0.936757i | ||||||||
−702.984 | + | 1217.60i | −0.823167 | + | 1.42577i | |||||
14.8661 | − | 8.58295i | 0.0173873 | − | 0.0100385i | |||||
111.991 | − | 417.955i | 0.130830 | − | 0.488265i | |||||
175.305i | 0.204556i | 0.994756 | + | 0.102278i | ||||||
−0.994756 | + | 0.102278i | ||||||||
0 | 0 | |||||||||
1523.72 | 1.77384 | 0.886918 | − | 0.461928i | ||||||
0.886918 | + | 0.461928i | ||||||||
−117.584 | − | 31.5067i | −0.136726 | − | 0.0366357i | |||||
199.492 | + | 345.531i | 0.231698 | + | 0.401314i | |||||
242.180 | + | 139.822i | 0.280951 | + | 0.162207i | |||||
−525.826 | + | 525.826i | −0.609300 | + | 0.609300i | −0.942763 | − | 0.333463i | ||
0.333463 | + | 0.942763i | ||||||||
−220.392 | − | 822.514i | −0.255083 | − | 0.951984i | |||||
131.892 | − | 35.3404i | 0.152477 | − | 0.0408560i | |||||
−231.034 | − | 231.034i | −0.266783 | − | 0.266783i | |||||
−814.592 | + | 1410.91i | −0.939552 | + | 1.62735i | |||||
505.994 | − | 292.136i | 0.582943 | − | 0.336562i | |||||
−14.7854 | + | 55.1800i | −0.0170143 | + | 0.0634983i | |||||
− | 355.731i | − | 0.408887i | |||||||
0 | 0 | |||||||||
−172.583 | −0.197916 | |||||||||
1061.10 | + | 284.320i | 1.21546 | + | 0.325682i | |||||
1.76645 | + | 3.05957i | 0.00202110 | + | 0.00350066i | |||||
424.661 | + | 245.178i | 0.485327 | + | 0.280204i | |||||
−400.972 | + | 400.972i | −0.457730 | + | 0.457730i | |||||
165.712 | + | 618.447i | 0.188954 | + | 0.705185i | 0.993749 | + | 0.111633i | ||
−0.804796 | + | 0.593552i | ||||||||
319.014 | − | 85.4795i | 0.363342 | − | 0.0973571i | |||||
1911.87 | + | 1911.87i | 2.17505 | + | 2.17505i | |||||
18.0638 | − | 31.2874i | 0.0205270 | − | 0.0355539i | |||||
−964.522 | + | 556.867i | −1.09480 | + | 0.632085i | −0.934851 | − | 0.355039i | ||
−0.159953 | + | 0.987125i | ||||||||
−57.2974 | + | 213.837i | −0.0649630 | + | 0.242445i | |||||
− | 206.038i | − | 0.233338i | −0.993171 | − | 0.116669i | ||||
0.993171 | − | 0.116669i | ||||||||
0 | 0 | |||||||||
−584.776 | −0.660764 | |||||||||
−888.052 | − | 237.953i | −1.00232 | − | 0.268570i | |||||
−299.698 | − | 519.092i | −0.337878 | − | 0.585222i | 0.646155 | − | 0.763206i | ||
−0.984033 | + | 0.177984i | ||||||||
−100.163 | − | 57.8291i | −0.112796 | − | 0.0651228i | |||||
−21.5870 | + | 21.5870i | −0.0242824 | + | 0.0242824i | |||||
80.5881 | + | 300.759i | 0.0905484 | + | 0.337931i | |||||
−40.9845 | + | 10.9818i | −0.0459983 | + | 0.0123252i | |||||
−166.295 | − | 166.295i | −0.186430 | − | 0.186430i | |||||
11.5812 | − | 20.0592i | 0.0129689 | − | 0.0224627i | |||||
1225.41 | − | 707.492i | 1.37071 | − | 0.791378i | |||||
58.7460 | − | 219.243i | 0.0656380 | − | 0.244964i | |||||
987.489i | 1.10211i | |||||||||
0 | 0 | |||||||||
710.758 | 0.791489 | |||||||||
1068.19 | + | 286.221i | 1.18820 | + | 0.318377i | |||||
−281.903 | − | 488.271i | −0.313226 | − | 0.542523i | |||||
−1406.23 | − | 811.886i | −1.56074 | − | 0.901094i | |||||
23.3969 | − | 23.3969i | 0.0259389 | − | 0.0259389i | |||||
−430.257 | − | 1605.74i | −0.476475 | − | 1.77823i | |||||
−515.541 | + | 138.139i | −0.570289 | + | 0.152808i | |||||
63.7970 | + | 63.7970i | 0.0704939 | + | 0.0704939i | |||||
−1328.92 | + | 2301.75i | −1.46680 | + | 2.54057i | |||||
399.745 | − | 230.793i | 0.440733 | − | 0.254457i | −0.263176 | − | 0.964748i | ||
0.703908 | + | 0.710291i | ||||||||
29.1673 | − | 108.854i | 0.0321225 | − | 0.119883i | |||||
− | 1226.11i | − | 1.34885i | |||||||
0 | 0 | |||||||||
1377.94 | 1.51256 | 0.756281 | − | 0.654247i | ||||||
0.756281 | + | 0.654247i | ||||||||
64.6964 | + | 17.3353i | 0.0709390 | + | 0.0190080i | |||||
−58.0453 | − | 100.537i | −0.0635765 | − | 0.110118i | |||||
−621.725 | − | 358.953i | −0.680224 | − | 0.392728i | |||||
506.523 | − | 506.523i | 0.553577 | − | 0.553577i | |||||
−103.045 | − | 384.568i | −0.112494 | − | 0.419834i | |||||
−371.552 | + | 99.5570i | −0.405182 | + | 0.108568i | |||||
−1498.27 | − | 1498.27i | −1.63210 | − | 1.63210i | |||||
58.7147 | − | 101.697i | 0.0638898 | − | 0.110660i | −0.832311 | − | 0.554309i | ||
0.896201 | + | 0.443648i | ||||||||
17.5244 | − | 10.1177i | 0.0190482 | − | 0.0109975i | |||||
626.234 | − | 2337.14i | 0.679950 | − | 2.53761i | |||||
1901.79i | 2.06268i | |||||||||
0 | 0 | |||||||||
−59.1912 | −0.0640598 | |||||||||
−86.5853 | − | 23.2005i | −0.0936058 | − | 0.0250816i | |||||
−684.727 | − | 1185.98i | −0.739446 | − | 1.28076i | |||||
−1123.36 | − | 648.573i | −1.21182 | − | 0.699647i | |||||
317.569 | − | 317.569i | 0.342208 | − | 0.342208i | |||||
−147.714 | − | 551.276i | −0.159003 | − | 0.593408i | −0.998729 | − | 0.0503975i | ||
0.839726 | − | 0.543010i | ||||||||
−1033.98 | + | 277.055i | −1.11181 | + | 0.297908i | |||||
−2.75976 | − | 2.75976i | −0.00296430 | − | 0.00296430i | |||||
203.101 | − | 351.781i | 0.217919 | − | 0.377448i | |||||
436.584 | − | 252.062i | 0.467935 | − | 0.270163i | |||||
−170.484 | + | 636.256i | −0.182531 | + | 0.681216i | |||||
− | 45.2118i | − | 0.0483549i | |||||||
0 | 0 | |||||||||
−26.9894 | −0.0288040 | −0.0144020 | − | 0.999896i | ||||||
−0.0144020 | + | 0.999896i | ||||||||
1412.73 | + | 378.540i | 1.50611 | + | 0.403561i | |||||
225.873 | + | 391.223i | 0.240546 | + | 0.416638i | |||||
71.9898 | + | 41.5633i | 0.0765849 | + | 0.0442163i | |||||
1244.04 | − | 1244.04i | 1.32204 | − | 1.32204i | 0.409926 | − | 0.912119i | ||
0.912119 | − | 0.409926i | ||||||||
−372.121 | − | 1388.77i | −0.395033 | − | 1.47428i | |||||
25.9989 | − | 6.96639i | 0.0275705 | − | 0.00738748i | |||||
−1038.00 | − | 1038.00i | −1.09958 | − | 1.09958i | |||||
−187.466 | + | 324.701i | −0.198377 | + | 0.343598i | |||||
−119.393 | + | 68.9315i | −0.126208 | + | 0.0728663i | |||||
−19.1413 | + | 71.4365i | −0.0202126 | + | 0.0754345i | −0.975295 | − | 0.220904i | ||
0.955083 | + | 0.296339i | ||||||||
− | 380.095i | − | 0.400944i | |||||||
0 | 0 | |||||||||
35.7432 | 0.0376245 | |||||||||
−1959.15 | − | 524.952i | −2.06009 | − | 0.551999i | |||||
471.154 | + | 816.062i | 0.494909 | + | 0.857208i | |||||
334.954 | + | 193.386i | 0.351474 | + | 0.202923i | 0.665334 | − | 0.746546i | ||
−0.313861 | + | 0.949469i | ||||||||
1771.84 | − | 1771.84i | 1.85727 | − | 1.85727i | |||||
27.5751 | + | 102.912i | 0.0288744 | + | 0.107761i | |||||
548.402 | − | 146.944i | 0.573643 | − | 0.153707i | |||||
−79.2196 | − | 79.2196i | −0.0827791 | − | 0.0827791i | |||||
−315.067 | + | 545.712i | −0.328880 | + | 0.569637i | |||||
942.457 | − | 544.128i | 0.982749 | − | 0.567391i | |||||
48.9903 | − | 182.834i | 0.0510316 | − | 0.190452i | |||||
− | 2366.76i | − | 2.46281i | |||||||
0 | 0 | |||||||||
1213.61 | 1.26024 | |||||||||
92.1435 | + | 24.6898i | 0.0955845 | + | 0.0256118i | |||||
−168.664 | − | 292.135i | −0.174782 | − | 0.302731i | |||||
−149.949 | − | 86.5730i | −0.155227 | − | 0.0896201i | |||||
503.064 | − | 503.064i | 0.520232 | − | 0.520232i | −0.397409 | − | 0.917641i | ||
0.917641 | + | 0.397409i | ||||||||
179.254 | + | 668.986i | 0.185180 | + | 0.691102i | |||||
80.9642 | − | 21.6943i | 0.0835544 | − | 0.0223883i | |||||
−176.733 | − | 176.733i | −0.182199 | − | 0.182199i | |||||
−452.612 | + | 783.946i | −0.466129 | + | 0.807360i | −0.999252 | − | 0.0386784i | ||
0.533122 | + | 0.846038i | ||||||||
−192.035 | + | 110.872i | −0.197567 | + | 0.114066i | |||||
−130.609 | + | 487.441i | −0.134234 | + | 0.500967i | |||||
1276.66i | 1.31074i | |||||||||
0 | 0 | |||||||||
1798.20 | 1.84241 | |||||||||
797.549 | + | 213.703i | 0.816324 | + | 0.218733i | 0.642739 | − | 0.766085i | ||
0.173585 | + | 0.984819i | ||||||||
876.055 | + | 1517.37i | 0.895762 | + | 1.55151i | |||||
84.9241 | + | 49.0310i | 0.0867458 | + | 0.0500827i | |||||
9.90440 | − | 9.90440i | 0.0101065 | − | 0.0101065i | |||||
−125.281 | − | 467.557i | −0.127708 | − | 0.476612i | |||||
−53.5236 | + | 14.3416i | −0.0545047 | + | 0.0146045i | |||||
99.0983 | + | 99.0983i | 0.100812 | + | 0.100812i | 0.755714 | − | 0.654902i | ||
−0.654902 | + | 0.755714i | ||||||||
175.680 | − | 304.286i | 0.178536 | − | 0.309234i | |||||
−215.011 | + | 124.137i | −0.218286 | + | 0.126027i | |||||
289.238 | − | 1079.45i | 0.293344 | − | 1.09478i | |||||
1135.18i | 1.15013i | |||||||||
0 | 0 | |||||||||
−112.147 | −0.113394 | |||||||||
67.3921 | + | 18.0577i | 0.0680728 | + | 0.0182401i | |||||
58.8966 | + | 102.012i | 0.0594315 | + | 0.102938i | 0.894210 | − | 0.447647i | ||
−0.834779 | + | 0.550585i | ||||||||
−1170.39 | − | 675.725i | −1.17983 | − | 0.681175i | |||||
−546.127 | + | 546.127i | −0.549977 | + | 0.549977i | |||||
271.864 | + | 1014.61i | 0.273505 | + | 1.02073i | |||||
63.5572 | − | 17.0301i | 0.0638766 | − | 0.0171157i | |||||
546.180 | + | 546.180i | 0.548374 | + | 0.548374i | |||||
531.702 | − | 920.934i | 0.533302 | − | 0.923705i | −0.465942 | − | 0.884815i | ||
0.999243 | − | 0.0388901i | ||||||||
304.298 | − | 175.687i | 0.304908 | − | 0.176039i | |||||
37.4170 | − | 139.642i | 0.0374544 | − | 0.139782i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 169.3.f.g.80.3 | 48 | ||
13.2 | odd | 12 | 169.3.d.e.99.3 | yes | 24 | ||
13.3 | even | 3 | 169.3.d.e.70.10 | yes | 24 | ||
13.4 | even | 6 | inner | 169.3.f.g.19.3 | 48 | ||
13.5 | odd | 4 | inner | 169.3.f.g.89.3 | 48 | ||
13.6 | odd | 12 | inner | 169.3.f.g.150.10 | 48 | ||
13.7 | odd | 12 | inner | 169.3.f.g.150.3 | 48 | ||
13.8 | odd | 4 | inner | 169.3.f.g.89.10 | 48 | ||
13.9 | even | 3 | inner | 169.3.f.g.19.10 | 48 | ||
13.10 | even | 6 | 169.3.d.e.70.3 | ✓ | 24 | ||
13.11 | odd | 12 | 169.3.d.e.99.10 | yes | 24 | ||
13.12 | even | 2 | inner | 169.3.f.g.80.10 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.3.d.e.70.3 | ✓ | 24 | 13.10 | even | 6 | ||
169.3.d.e.70.10 | yes | 24 | 13.3 | even | 3 | ||
169.3.d.e.99.3 | yes | 24 | 13.2 | odd | 12 | ||
169.3.d.e.99.10 | yes | 24 | 13.11 | odd | 12 | ||
169.3.f.g.19.3 | 48 | 13.4 | even | 6 | inner | ||
169.3.f.g.19.10 | 48 | 13.9 | even | 3 | inner | ||
169.3.f.g.80.3 | 48 | 1.1 | even | 1 | trivial | ||
169.3.f.g.80.10 | 48 | 13.12 | even | 2 | inner | ||
169.3.f.g.89.3 | 48 | 13.5 | odd | 4 | inner | ||
169.3.f.g.89.10 | 48 | 13.8 | odd | 4 | inner | ||
169.3.f.g.150.3 | 48 | 13.7 | odd | 12 | inner | ||
169.3.f.g.150.10 | 48 | 13.6 | odd | 12 | inner |