Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 483.r (of order , degree , 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 | 34.20 | ||
Character | 483.34 | ||
Dual form | 483.2.r.a.412.20 |
-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 .
0.227214 | − | 0.146021i | 0.160664 | − | 0.103253i | −0.457838 | − | 0.889036i | ||
0.618502 | + | 0.785783i | ||||||||
0.989821 | + | 0.142315i | 0.571474 | + | 0.0821655i | |||||
−0.800526 | + | 1.75291i | −0.400263 | + | 0.876454i | |||||
1.03996 | − | 0.305361i | 0.465086 | − | 0.136562i | −0.0407898 | − | 0.999168i | ||
0.505876 | + | 0.862606i | ||||||||
0.245682 | − | 0.112199i | 0.100299 | − | 0.0458051i | |||||
−1.80110 | + | 1.93805i | −0.680752 | + | 0.732514i | |||||
0.150947 | + | 1.04986i | 0.0533678 | + | 0.371181i | |||||
0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | |||||
0.191705 | − | 0.221239i | 0.0606224 | − | 0.0699620i | |||||
2.42939 | − | 3.78020i | 0.732488 | − | 1.13977i | −0.252575 | − | 0.967577i | ||
0.985063 | − | 0.172196i | ||||||||
−1.04184 | + | 1.62114i | −0.300754 | + | 0.467983i | |||||
2.38102 | + | 2.06316i | 0.660375 | + | 0.572218i | 0.919241 | − | 0.393695i | ||
−0.258866 | + | 0.965913i | ||||||||
−0.126238 | + | 0.703351i | −0.0337385 | + | 0.187978i | |||||
1.07284 | − | 0.154251i | 0.277005 | − | 0.0398274i | |||||
−2.33630 | − | 2.69624i | −0.584075 | − | 0.674059i | |||||
2.18750 | + | 4.78996i | 0.530547 | + | 1.16174i | 0.965290 | + | 0.261182i | ||
−0.434742 | + | 0.900555i | ||||||||
0.259149 | − | 0.0760930i | 0.0610820 | − | 0.0179353i | |||||
−2.28938 | + | 5.01305i | −0.525221 | + | 1.15007i | 0.442204 | + | 0.896914i | ||
−0.967425 | + | 0.253158i | ||||||||
−0.297249 | + | 2.06741i | −0.0664669 | + | 0.462287i | |||||
−2.05858 | + | 1.66200i | −0.449219 | + | 0.362678i | |||||
− | 1.21366i | − | 0.258752i | |||||||
−0.277290 | + | 4.78781i | −0.0578190 | + | 0.998327i | |||||
1.06065i | 0.216505i | |||||||||
−3.21799 | + | 2.06807i | −0.643597 | + | 0.413615i | |||||
0.842265 | + | 0.121099i | 0.165182 | + | 0.0237495i | |||||
0.909632 | + | 0.415415i | 0.175059 | + | 0.0799467i | |||||
−1.95540 | − | 4.70862i | −0.369535 | − | 0.889846i | |||||
−0.778025 | − | 1.70364i | −0.144476 | − | 0.316358i | 0.823535 | − | 0.567265i | ||
−0.968011 | + | 0.250907i | ||||||||
0.221239 | − | 0.191705i | 0.0403926 | − | 0.0350004i | |||||
6.66165 | − | 0.957801i | 1.19647 | − | 0.172026i | 0.484853 | − | 0.874596i | ||
0.711615 | + | 0.702569i | ||||||||
−2.95993 | − | 0.869114i | −0.523247 | − | 0.153639i | |||||
2.94264 | − | 3.39599i | 0.512248 | − | 0.591165i | |||||
1.19647 | + | 0.768923i | 0.205192 | + | 0.131869i | |||||
−1.28128 | + | 2.56549i | −0.216575 | + | 0.433647i | |||||
−1.26195 | + | 1.45637i | −0.210325 | + | 0.242728i | |||||
2.08577 | − | 7.10348i | 0.342899 | − | 1.16781i | −0.589921 | − | 0.807461i | ||
0.932819 | − | 0.360344i | ||||||||
0.211833 | + | 1.47333i | 0.0343639 | + | 0.239006i | |||||
2.06316 | + | 2.38102i | 0.330370 | + | 0.381268i | |||||
0.477566 | + | 1.04572i | 0.0755098 | + | 0.165343i | |||||
−3.11602 | − | 10.6122i | −0.486640 | − | 1.65734i | −0.726983 | − | 0.686655i | ||
0.240343 | − | 0.970688i | ||||||||
−0.225050 | + | 0.678226i | −0.0347260 | + | 0.104653i | |||||
−1.39400 | − | 0.200427i | −0.212583 | − | 0.0305649i | 0.0352003 | − | 0.999380i | ||
−0.247784 | + | 0.968815i | ||||||||
4.68155 | + | 7.28464i | 0.705771 | + | 1.09820i | |||||
1.08387 | 0.161574 | |||||||||
0.636118 | + | 1.12835i | 0.0937905 | + | 0.166365i | |||||
1.11953i | 0.163300i | 0.996661 | + | 0.0816498i | ||||||
−0.996661 | + | 0.0816498i | ||||||||
−1.92881 | − | 3.00128i | −0.278399 | − | 0.433198i | |||||
−0.512079 | − | 6.98124i | −0.0731541 | − | 0.997321i | |||||
−0.429187 | + | 0.939789i | −0.0606963 | + | 0.132906i | |||||
1.48355 | + | 5.05252i | 0.207739 | + | 0.707495i | |||||
−5.52260 | + | 2.52209i | −0.765847 | + | 0.349750i | |||||
−1.39483 | + | 1.20863i | −0.191595 | + | 0.166018i | −0.745376 | − | 0.666645i | ||
0.553781 | + | 0.832662i | ||||||||
0.267340 | − | 0.0384377i | 0.0363804 | − | 0.00523071i | |||||
1.37215 | − | 4.67312i | 0.185021 | − | 0.630123i | |||||
−2.30655 | − | 1.59836i | −0.308226 | − | 0.213590i | |||||
−2.97951 | + | 4.63621i | −0.394646 | + | 0.614081i | |||||
−0.425546 | − | 0.273482i | −0.0558769 | − | 0.0359099i | |||||
9.62852 | + | 8.34316i | 1.25353 | + | 1.08619i | 0.992676 | + | 0.120808i | ||
0.260851 | + | 0.965379i | ||||||||
−0.588447 | + | 2.00407i | −0.0759682 | + | 0.258724i | |||||
−1.66120 | − | 11.5539i | −0.212695 | − | 1.47932i | −0.764106 | − | 0.645090i | ||
0.551412 | − | 0.834233i | ||||||||
1.37376 | − | 1.19037i | 0.174468 | − | 0.151177i | |||||
−2.27415 | + | 1.35212i | −0.286517 | + | 0.170351i | |||||
6.04679 | − | 1.77550i | 0.755849 | − | 0.221937i | |||||
3.10618 | + | 1.41855i | 0.385275 | + | 0.175949i | |||||
0.172721 | − | 1.20130i | 0.0212605 | − | 0.147870i | |||||
−5.58129 | − | 8.68465i | −0.681863 | − | 1.06100i | −0.993831 | − | 0.110907i | ||
0.311968 | − | 0.950093i | ||||||||
−10.1475 | −1.23057 | |||||||||
−0.955844 | + | 4.69961i | −0.115070 | + | 0.565767i | |||||
0.0834932 | + | 0.770008i | 0.00997934 | + | 0.0920336i | |||||
8.57728 | − | 5.51229i | 1.01794 | − | 0.654188i | 0.0785010 | − | 0.996914i | ||
0.939435 | + | 0.342726i | ||||||||
−0.150947 | + | 1.04986i | −0.0177893 | + | 0.123727i | |||||
12.5808 | + | 5.74545i | 1.47247 | + | 0.672454i | 0.980204 | − | 0.197992i | ||
0.492265 | + | 0.870446i | ||||||||
−0.563345 | − | 1.91858i | −0.0654875 | − | 0.223030i | |||||
−3.47955 | + | 1.58906i | −0.401784 | + | 0.183488i | |||||
−6.95470 | − | 8.02616i | −0.797759 | − | 0.920663i | |||||
2.95065 | + | 11.5168i | 0.336258 | + | 1.31246i | |||||
0.816458 | + | 0.239734i | 0.0924456 | + | 0.0271445i | |||||
−6.67014 | − | 5.77971i | −0.750450 | − | 0.650268i | 0.193221 | − | 0.981155i | ||
−0.943670 | + | 0.330887i | ||||||||
−3.25300 | − | 2.09058i | −0.363696 | − | 0.233733i | |||||
0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | |||||
−2.25761 | − | 1.95623i | −0.249311 | − | 0.216029i | |||||
0.695752 | + | 0.204291i | 0.0763688 | + | 0.0224239i | 0.319694 | − | 0.947521i | ||
−0.243325 | + | 0.969945i | ||||||||
−1.26539 | − | 4.93898i | −0.138065 | − | 0.538887i | |||||
3.73760 | + | 4.31342i | 0.405399 | + | 0.467856i | |||||
−0.346003 | + | 0.158014i | −0.0373104 | + | 0.0170391i | |||||
−0.527653 | − | 1.79702i | −0.0565704 | − | 0.192661i | |||||
4.33539 | + | 1.97990i | 0.462154 | + | 0.211059i | |||||
1.66375 | − | 11.5717i | 0.176358 | − | 1.22659i | −0.688747 | − | 0.725002i | ||
0.865104 | − | 0.501592i | ||||||||
0.246270 | − | 0.158268i | 0.0259591 | − | 0.0166829i | |||||
−8.28696 | + | 0.898568i | −0.868709 | + | 0.0941955i | |||||
−8.17061 | − | 4.31883i | −0.851845 | − | 0.450269i | |||||
6.73016 | 0.697885 | |||||||||
0.163475 | + | 0.254371i | 0.0168611 | + | 0.0262364i | |||||
−0.850087 | + | 5.91249i | −0.0872171 | + | 0.606608i | |||||
−2.80611 | − | 1.28151i | −0.286398 | − | 0.130794i | |||||
7.69464 | − | 2.25935i | 0.781272 | − | 0.229402i | 0.133310 | − | 0.991074i | ||
0.647963 | + | 0.761672i | ||||||||
−1.13576 | − | 1.51146i | −0.114729 | − | 0.152680i | |||||
3.39599 | − | 2.94264i | 0.341309 | − | 0.295746i | |||||
−1.04906 | − | 7.29638i | −0.104906 | − | 0.729638i | |||||
2.70718 | − | 9.21979i | 0.269374 | − | 0.917404i | −0.708058 | − | 0.706154i | ||
0.977432 | − | 0.211250i | ||||||||
1.07486 | + | 0.931371i | 0.106427 | + | 0.0922195i | |||||
−8.38523 | − | 5.38886i | −0.826221 | − | 0.530980i | 0.0578537 | − | 0.998325i | ||
−0.884075 | + | 0.467345i | ||||||||
−1.80662 | + | 2.81116i | −0.177154 | + | 0.275657i | |||||
−1.63334 | + | 2.35703i | −0.159398 | + | 0.230023i | |||||
−0.140439 | + | 0.478292i | −0.0136407 | + | 0.0464558i | |||||
−5.56322 | + | 0.799870i | −0.537816 | + | 0.0773263i | −0.405870 | − | 0.913931i | ||
−0.131946 | + | 0.991257i | ||||||||
−1.45637 | + | 1.26195i | −0.140139 | + | 0.121431i | |||||
−2.82030 | + | 1.28799i | −0.270135 | + | 0.123367i | −0.545878 | − | 0.837865i | ||
0.275742 | + | 0.961232i | ||||||||
−0.370603 | − | 1.26216i | −0.0353356 | − | 0.120342i | |||||
3.07547 | − | 6.73434i | 0.291911 | − | 0.639196i | |||||
9.43335 | + | 0.328320i | 0.891368 | + | 0.0310233i | |||||
4.77648 | + | 7.43234i | 0.449333 | + | 0.699176i | 0.989843 | − | 0.142161i | ||
−0.540510 | + | 0.841337i | ||||||||
1.48848i | 0.139409i | |||||||||
1.17364 | + | 5.06383i | 0.109442 | + | 0.472204i | |||||
3.60915 | 0.335101 | |||||||||
1.70331 | + | 2.65040i | 0.157471 | + | 0.245029i | |||||
3.40601 | + | 0.489711i | 0.313549 | + | 0.0450815i | |||||
−13.2231 | − | 4.38771i | −1.21216 | − | 0.402221i | |||||
0.323883 | + | 1.10304i | 0.0295663 | + | 0.100694i | |||||
−3.81843 | − | 8.36119i | −0.347130 | − | 0.760108i | |||||
−2.06456 | − | 2.38263i | −0.186917 | − | 0.215713i | |||||
−1.57403 | − | 10.9476i | −0.141925 | − | 0.987113i | |||||
−3.65389 | + | 12.4440i | −0.328129 | + | 1.11751i | |||||
−6.26400 | + | 7.22904i | −0.560269 | + | 0.646585i | |||||
−0.319281 | + | 0.639295i | −0.0284438 | + | 0.0569529i | |||||
−7.42569 | − | 4.77220i | −0.658924 | − | 0.423465i | 0.167994 | − | 0.985788i | ||
−0.826917 | + | 0.562323i | ||||||||
5.15500 | − | 5.94919i | 0.455642 | − | 0.525839i | |||||
−1.35129 | − | 0.396774i | −0.118974 | − | 0.0349340i | |||||
0.912905 | − | 0.131256i | 0.0800671 | − | 0.0115119i | |||||
−14.9580 | + | 12.9612i | −1.30689 | + | 1.13243i | −0.324439 | + | 0.945907i | ||
−0.982451 | + | 0.186520i | ||||||||
3.59719 | + | 7.87675i | 0.313095 | + | 0.685583i | |||||
−5.59214 | − | 13.4659i | −0.484900 | − | 1.16765i | |||||
−2.53629 | − | 1.15828i | −0.219102 | − | 0.100061i | |||||
1.07284 | + | 0.154251i | 0.0923351 | + | 0.0132758i | |||||
−4.69859 | + | 3.01960i | −0.402901 | + | 0.258929i | |||||
2.80847i | 0.239944i | 0.992777 | + | 0.119972i | ||||||
−0.992777 | + | 0.119972i | ||||||||
0.469063 | + | 1.20739i | 0.0399293 | + | 0.102780i | |||||
11.5201i | 0.977123i | 0.872529 | + | 0.488562i | ||||||
−0.872529 | + | 0.488562i | ||||||||
−3.47137 | − | 4.29970i | −0.293385 | − | 0.363391i | |||||
−0.159325 | + | 1.10813i | −0.0134176 | + | 0.0933214i | |||||
1.14396 | − | 2.50493i | 0.0959994 | − | 0.210209i | |||||
13.5836 | − | 3.98850i | 1.13592 | − | 0.333535i | |||||
−1.48205 | − | 3.24523i | −0.123504 | − | 0.270436i | |||||
−1.32934 | − | 1.53415i | −0.110396 | − | 0.127404i | |||||
3.69748 | − | 0.531618i | 0.306006 | − | 0.0439970i | |||||
0.486668 | − | 6.98306i | 0.0401397 | − | 0.575953i | |||||
10.7820 | + | 9.34269i | 0.886278 | + | 0.767964i | |||||
−6.27446 | + | 9.76325i | −0.514024 | + | 0.799836i | −0.997129 | − | 0.0757260i | ||
0.483105 | + | 0.875562i | ||||||||
−0.558565 | + | 0.869144i | −0.0456066 | + | 0.0709653i | |||||
−5.69807 | + | 6.57593i | −0.463703 | + | 0.535141i | −0.938649 | − | 0.344873i | ||
0.474947 | + | 0.880015i | ||||||||
−5.60857 | − | 1.64683i | −0.454915 | − | 0.133575i | |||||
0.749405 | + | 5.21223i | 0.0605858 | + | 0.421384i | |||||
2.35213 | + | 2.18591i | 0.189540 | + | 0.176146i | |||||
6.63541 | − | 3.03029i | 0.532969 | − | 0.243399i | |||||
−5.82532 | + | 1.71047i | −0.466399 | + | 0.136947i | |||||
7.41817 | − | 16.2435i | 0.592034 | − | 1.29637i | −0.342171 | − | 0.939638i | ||
0.934205 | − | 0.356736i | ||||||||
−2.35951 | − | 0.339246i | −0.187712 | − | 0.0269890i | |||||
−1.55264 | + | 0.997820i | −0.123132 | + | 0.0791323i | |||||
−3.34362 | −0.264336 | |||||||||
−8.77959 | − | 9.16072i | −0.691928 | − | 0.721966i | |||||
0.270089 | 0.0212202 | |||||||||
−19.1315 | + | 12.2951i | −1.49849 | + | 0.963024i | −0.503404 | + | 0.864051i | ||
−0.995090 | + | 0.0989727i | ||||||||
21.0966 | + | 3.03324i | 1.64737 | + | 0.236856i | |||||
2.02324 | − | 4.43027i | 0.157509 | − | 0.344896i | |||||
0.187915 | − | 0.0551769i | 0.0145851 | − | 0.00428256i | |||||
7.73632 | − | 3.53306i | 0.598654 | − | 0.273396i | −0.0929524 | − | 0.995671i | ||
0.691607 | + | 0.722274i | ||||||||
−2.05560 | − | 1.91035i | −0.158593 | − | 0.147386i | |||||
−0.437494 | − | 3.04284i | −0.0336534 | − | 0.234064i | |||||
1.47908 | + | 0.434298i | 0.113441 | + | 0.0333091i | |||||
−3.60899 | + | 4.16499i | −0.275986 | + | 0.318505i | |||||
1.46727 | − | 2.28311i | 0.111878 | − | 0.174085i | |||||
5.25864 | − | 8.18260i | 0.399807 | − | 0.622112i | −0.581731 | − | 0.813382i | ||
0.981538 | + | 0.191270i | ||||||||
−0.382294 | − | 0.331259i | −0.0289816 | − | 0.0251127i | |||||
1.78788 | − | 9.96143i | 0.135151 | − | 0.753013i | |||||
−15.8681 | + | 2.28149i | −1.19610 | + | 0.171974i | |||||
8.34316 | + | 9.62852i | 0.627110 | + | 0.723724i | |||||
−1.31168 | − | 2.87218i | −0.0983148 | − | 0.215279i | |||||
21.6927 | − | 6.36954i | 1.62139 | − | 0.476082i | 0.659996 | − | 0.751269i | ||
0.961391 | + | 0.275187i | ||||||||
−0.867666 | + | 1.89992i | −0.0646720 | + | 0.141612i | |||||
−1.43926 | + | 10.0103i | −0.106979 | + | 0.744058i | 0.863757 | + | 0.503909i | ||
−0.970736 | + | 0.240149i | ||||||||
−1.75170 | + | 1.41424i | −0.129845 | + | 0.104830i | |||||
− | 11.6727i | − | 0.862871i | |||||||
−5.06838 | + | 0.431590i | −0.373646 | + | 0.0318172i | |||||
− | 8.02429i | − | 0.589957i | |||||||
1.52918 | − | 0.982747i | 0.112125 | − | 0.0720585i | |||||
23.4213 | + | 3.36748i | 1.71274 | + | 0.246254i | |||||
−1.96242 | − | 0.896209i | −0.143124 | − | 0.0653628i | |||||
−2.44343 | + | 1.01471i | −0.177734 | + | 0.0738092i | |||||
0.670198 | + | 1.46753i | 0.0486212 | + | 0.106466i | |||||
14.4740 | − | 12.5418i | 1.04730 | − | 0.907495i | 0.0514701 | − | 0.998675i | ||
0.995834 | + | 0.0911800i | ||||||||
6.23792 | − | 0.896878i | 0.450183 | − | 0.0647266i | |||||
4.26226 | + | 1.25151i | 0.306804 | + | 0.0900857i | 0.431510 | − | 0.902108i | ||
−0.124707 | + | 0.992194i | ||||||||
1.41841 | − | 1.63694i | 0.101836 | − | 0.117525i | |||||
2.87269 | + | 1.84616i | 0.205717 | + | 0.132206i | |||||
12.6474 | + | 4.69104i | 0.903387 | + | 0.335074i | |||||
−1.25209 | + | 1.44499i | −0.0892079 | + | 0.102951i | −0.798598 | − | 0.601864i | ||
0.709391 | + | 0.704816i | ||||||||
0.341926 | − | 1.16449i | 0.0242996 | − | 0.0827570i | |||||
−1.29091 | − | 8.97847i | −0.0915102 | − | 0.636467i | −0.983024 | − | 0.183475i | ||
0.891514 | − | 0.452993i | ||||||||
−2.65693 | − | 3.06626i | −0.187873 | − | 0.216817i | |||||
−4.28852 | − | 9.39055i | −0.302489 | − | 0.662359i | |||||
−0.731179 | − | 2.49017i | −0.0514456 | − | 0.175208i | |||||
4.70304 | + | 1.56057i | 0.330089 | + | 0.109531i | |||||
−10.0442 | − | 1.44414i | −0.703237 | − | 0.101110i | |||||
−6.48109 | − | 10.0848i | −0.452659 | − | 0.704351i | |||||
−2.69213 | −0.187569 | |||||||||
−1.61494 | + | 4.51575i | −0.112246 | + | 0.313866i | |||||
− | 11.2399i | − | 0.779350i | |||||||
13.3885 | + | 20.8330i | 0.926104 | + | 1.44105i | |||||
−0.0269402 | + | 0.774053i | −0.00185905 | + | 0.0534147i | |||||
−7.86869 | + | 17.2300i | −0.541703 | + | 1.18616i | 0.418847 | + | 0.908057i | ||
−0.960550 | + | 0.278108i | ||||||||
−1.00201 | − | 3.41255i | −0.0688186 | − | 0.234375i | |||||
9.27446 | − | 4.23550i | 0.635476 | − | 0.290212i | |||||
−1.14724 | + | 0.994089i | −0.0784237 | + | 0.0679546i | |||||
−1.51092 | + | 0.217237i | −0.103044 | + | 0.0148154i | |||||
−0.298821 | + | 1.01769i | −0.0203322 | + | 0.0692451i | |||||
−10.1420 | + | 14.6357i | −0.688486 | + | 0.993537i | |||||
−0.452736 | + | 0.704471i | −0.0306632 | + | 0.0477128i | |||||
11.6351 | + | 7.47740i | 0.786224 | + | 0.505276i | |||||
7.09310 | + | 6.14621i | 0.478217 | + | 0.414377i | |||||
−4.67399 | + | 15.9182i | −0.314407 | + | 1.07077i | |||||
−0.284569 | − | 1.97922i | −0.0190990 | − | 0.132836i | |||||
−16.9528 | + | 14.6897i | −1.13524 | + | 0.983695i | −0.999975 | − | 0.00711417i | ||
−0.135269 | + | 0.990809i | ||||||||
7.01552 | − | 4.17113i | 0.468744 | − | 0.278695i | |||||
−3.67028 | + | 1.07769i | −0.244685 | + | 0.0718461i | |||||
2.17056 | + | 0.991262i | 0.144384 | + | 0.0659378i | |||||
−1.51829 | + | 10.5599i | −0.100772 | + | 0.700888i | 0.875322 | + | 0.483541i | ||
−0.976094 | + | 0.217347i | ||||||||
−5.74167 | − | 8.93422i | −0.380252 | − | 0.591683i | |||||
−3.49933 | −0.231242 | −0.115621 | − | 0.993293i | ||||||
−0.115621 | + | 0.993293i | ||||||||
1.00609 | + | 0.979194i | 0.0663399 | + | 0.0645661i | |||||
1.28161 | + | 11.8195i | 0.0843235 | + | 0.777665i | |||||
1.67114 | − | 1.07398i | 0.109716 | − | 0.0705100i | |||||
1.77046 | − | 12.3138i | 0.115986 | − | 0.806704i | −0.845917 | − | 0.533315i | ||
0.961904 | − | 0.273389i | ||||||||
0.774030 | + | 0.353487i | 0.0505999 | + | 0.0231082i | |||||
0.341860 | + | 1.16427i | 0.0223005 | + | 0.0759484i | |||||
−22.3327 | + | 10.1990i | −1.45373 | + | 0.663898i | |||||
−5.77971 | − | 6.67014i | −0.375433 | − | 0.433272i | |||||
−3.64517 | + | 0.933907i | −0.236281 | + | 0.0605362i | |||||
−10.9628 | − | 3.21897i | −0.709124 | − | 0.208218i | −0.0927711 | − | 0.995687i | ||
−0.616353 | + | 0.787470i | ||||||||
−2.92237 | − | 2.53225i | −0.188638 | − | 0.163456i | |||||
15.9870 | + | 10.2742i | 1.02981 | + | 0.661821i | 0.942447 | − | 0.334355i | ||
0.0873668 | + | 0.996176i | ||||||||
−2.08851 | − | 1.34220i | −0.134255 | − | 0.0862801i | |||||
0.755750 | + | 0.654861i | 0.0484814 | + | 0.0420093i | |||||
21.5827 | + | 6.33726i | 1.38169 | + | 0.405702i | |||||
−2.66435 | − | 7.10388i | −0.170219 | − | 0.453850i | |||||
−1.95623 | − | 2.25761i | −0.124724 | − | 0.143940i | |||||
−15.7938 | + | 7.21278i | −1.00493 | + | 0.458938i | |||||
2.01111 | + | 6.84922i | 0.127706 | + | 0.434926i | |||||
0.659597 | + | 0.301228i | 0.0418003 | + | 0.0190895i | |||||
−0.367672 | + | 2.55721i | −0.0232536 | + | 0.161732i | |||||
−8.72513 | + | 5.60730i | −0.550725 | + | 0.353930i | −0.786221 | − | 0.617946i | ||
0.235495 | + | 0.971875i | ||||||||
−0.549617 | − | 5.06879i | −0.0346226 | − | 0.319304i | |||||
17.4252 | + | 12.6797i | 1.09551 | + | 0.797163i | |||||
−2.38406 | −0.149589 | |||||||||
3.08569 | + | 4.80143i | 0.193233 | + | 0.300677i | |||||
−1.49118 | + | 10.3714i | −0.0931986 | + | 0.648210i | |||||
24.9774 | + | 11.4068i | 1.55805 | + | 0.711538i | 0.993497 | − | 0.113859i | ||
0.564553 | + | 0.825397i | ||||||||
−0.364969 | + | 0.107165i | −0.0227220 | + | 0.00667177i | |||||
10.0102 | + | 16.8364i | 0.622005 | + | 1.04616i | |||||
−4.97316 | + | 4.30927i | −0.308422 | + | 0.267249i | |||||
−0.266540 | − | 1.85382i | −0.0164984 | − | 0.114749i | |||||
−1.50606 | + | 5.12916i | −0.0930445 | + | 0.316880i | |||||
−4.71585 | − | 4.08631i | −0.290792 | − | 0.251972i | 0.497232 | − | 0.867618i | ||
−0.788023 | + | 0.615645i | ||||||||
4.00949 | + | 2.57674i | 0.246767 | + | 0.158587i | |||||
−1.08151 | + | 1.68286i | −0.0664364 | + | 0.103377i | |||||
−3.23692 | − | 2.24307i | −0.198469 | − | 0.137532i | |||||
3.29364 | − | 11.2171i | 0.201567 | − | 0.686476i | |||||
19.6914 | − | 2.83119i | 1.20284 | − | 0.172942i | |||||
−9.73091 | + | 8.43188i | −0.593304 | + | 0.514101i | −0.898954 | − | 0.438043i | ||
0.305650 | + | 0.952144i | ||||||||
0.266287 | − | 0.121609i | 0.0162057 | − | 0.00740090i | |||||
0.363936 | + | 1.23945i | 0.0221076 | + | 0.0752915i | 0.969808 | − | 0.243870i | ||
−0.947700 | + | 0.319161i | ||||||||
7.80421 | − | 17.0888i | 0.473199 | − | 1.03616i | |||||
−8.33049 | − | 0.289935i | −0.504184 | − | 0.0175477i | |||||
0.410097 | + | 0.638124i | 0.0247749 | + | 0.0385505i | |||||
17.1888i | 1.03652i | |||||||||
−7.47281 | − | 5.43767i | −0.449810 | − | 0.327309i | |||||
12.3157 | 0.739977 | 0.369988 | − | 0.929036i | ||||||
0.369988 | + | 0.929036i | ||||||||
1.68218 | + | 2.61753i | 0.100891 | + | 0.156989i | |||||
6.66165 | + | 0.957801i | 0.398823 | + | 0.0573421i | |||||
−2.88681 | − | 0.957905i | −0.172520 | − | 0.0572458i | |||||
−6.69105 | − | 22.7876i | −0.399155 | − | 1.35940i | −0.876805 | − | 0.480846i | ||
0.477650 | − | 0.878550i | ||||||||
0.125610 | + | 0.275047i | 0.00747995 | + | 0.0163788i | |||||
6.30384 | + | 7.27502i | 0.374724 | + | 0.432455i | 0.911519 | − | 0.411258i | ||
−0.536795 | + | 0.843713i | ||||||||
2.79619 | + | 19.4479i | 0.165923 | + | 1.15402i | |||||
−1.68287 | + | 5.73132i | −0.0996845 | + | 0.339494i | |||||
2.50397 | − | 2.88973i | 0.148063 | − | 0.170873i | |||||
26.1792 | + | 13.0746i | 1.54531 | + | 0.771769i | |||||
−2.59517 | − | 1.66782i | −0.152922 | − | 0.0982771i | |||||
−7.02595 | + | 8.10838i | −0.413291 | + | 0.476963i | |||||
−0.526063 | − | 0.154466i | −0.0308915 | − | 0.00907056i | |||||
7.93786 | − | 1.14129i | 0.465326 | − | 0.0669037i | |||||
−20.1425 | + | 17.4536i | −1.17875 | + | 1.02139i | |||||
−0.898909 | − | 1.96834i | −0.0525148 | − | 0.114991i | 0.881556 | − | 0.472080i | ||
−0.934071 | + | 0.357089i | ||||||||
−0.909098 | − | 1.65771i | −0.0530197 | − | 0.0966797i | |||||
12.5610 | + | 5.73642i | 0.731330 | + | 0.333987i | |||||
7.77250 | + | 1.11752i | 0.451767 | + | 0.0649543i | |||||
3.78020 | − | 2.42939i | 0.219349 | − | 0.140967i | |||||
3.13455i | 0.181579i | |||||||||
−10.5383 | + | 10.8278i | −0.609443 | + | 0.626185i | |||||
− | 7.37141i | − | 0.425589i | |||||||
2.89917 | − | 2.34066i | 0.167106 | − | 0.134913i | |||||
−0.334454 | + | 2.32618i | −0.0192457 | + | 0.133857i | |||||
3.99173 | − | 8.74068i | 0.229319 | − | 0.502139i | |||||
18.8651 | − | 5.53928i | 1.08199 | − | 0.317700i | |||||
−5.25570 | − | 11.5084i | −0.300940 | − | 0.658968i | |||||
0.931371 | + | 1.07486i | 0.0532430 | + | 0.0614457i | |||||
16.5084 | − | 2.37356i | 0.942187 | − | 0.135466i | 0.345931 | − | 0.938260i | ||
0.596256 | + | 0.802794i | ||||||||
−22.5499 | − | 4.04728i | −1.28490 | − | 0.230615i | |||||
−7.53297 | − | 6.52735i | −0.428536 | − | 0.371328i | |||||
1.06517 | − | 1.65744i | 0.0604975 | − | 0.0941360i | |||||
−8.90159 | + | 13.8511i | −0.504763 | + | 0.785426i | −0.996346 | − | 0.0854041i | ||
0.491584 | + | 0.870830i | ||||||||
−2.18830 | + | 2.52544i | −0.123888 | + | 0.142975i | |||||
−32.5568 | − | 9.55955i | −1.84022 | − | 0.540338i | −0.840224 | − | 0.542240i | ||
−0.999998 | + | 0.00190234i | ||||||||
−0.686392 | − | 4.77396i | −0.0387353 | − | 0.269410i | |||||
−1.95216 | + | 2.10059i | −0.109992 | + | 0.118355i | |||||
15.4709 | − | 7.06533i | 0.870307 | − | 0.397456i | |||||
3.56166 | − | 1.04580i | 0.200043 | − | 0.0587378i | −0.180176 | − | 0.983634i | ||
0.380219 | + | 0.924897i | ||||||||
−0.207078 | + | 0.453437i | −0.0116123 | + | 0.0254275i | |||||
−8.33022 | − | 1.19770i | −0.466403 | − | 0.0670586i | |||||
5.74628 | − | 3.69291i | 0.321227 | − | 0.206440i | |||||
−5.62042 | −0.313701 | |||||||||
−3.33250 | − | 0.799434i | −0.185713 | − | 0.0445507i | |||||
−29.0204 | −1.61474 | |||||||||
−1.62114 | + | 1.04184i | −0.0900633 | + | 0.0578802i | |||||
−11.9288 | − | 1.71511i | −0.661693 | − | 0.0951371i | |||||
−2.55159 | + | 5.58721i | −0.141320 | + | 0.309447i | |||||
−2.97489 | + | 0.873506i | −0.164512 | + | 0.0483050i | |||||
10.6709 | − | 4.87325i | 0.589204 | − | 0.269080i | |||||
−2.16970 | − | 2.01638i | −0.119619 | − | 0.111166i | |||||
−0.187207 | − | 1.30205i | −0.0103054 | − | 0.0716757i | |||||
−4.66719 | − | 1.37041i | −0.256532 | − | 0.0753246i | 0.150938 | − | 0.988543i | ||
−0.407470 | + | 0.913219i | ||||||||
−0.915072 | + | 1.05605i | −0.0502211 | + | 0.0579582i | |||||
4.00256 | − | 6.22811i | 0.219339 | − | 0.341298i | |||||
1.24190 | − | 1.93243i | 0.0679535 | − | 0.105738i | |||||
−8.45630 | − | 7.32742i | −0.462017 | − | 0.400340i | |||||
9.29061 | + | 1.66748i | 0.506844 | + | 0.0909687i | |||||
−1.60868 | + | 0.231293i | −0.0876302 | + | 0.0125993i | −0.185990 | − | 0.982552i | ||
0.0983602 | + | 0.995151i | ||||||||
−0.543724 | − | 0.627491i | −0.0295747 | − | 0.0341310i | |||||
3.67013 | + | 8.03645i | 0.199334 | + | 0.436480i | |||||
−10.5531 | + | 3.09866i | −0.572320 | + | 0.168048i | |||||
12.5631 | − | 27.5093i | 0.680328 | − | 1.48971i | |||||
−0.211833 | + | 1.47333i | −0.0114546 | + | 0.0796687i | |||||
14.4523 | + | 11.5815i | 0.780351 | + | 0.625341i | |||||
− | 1.49376i | − | 0.0805381i | |||||||
0.441036 | + | 5.17931i | 0.0237446 | + | 0.278845i | |||||
− | 2.62707i | − | 0.141232i | |||||||
18.0057 | − | 11.5716i | 0.966598 | − | 0.621195i | 0.0407812 | − | 0.999168i | ||
0.925816 | + | 0.377974i | ||||||||
3.57241 | + | 0.513636i | 0.191502 | + | 0.0275338i | |||||
−23.7180 | − | 10.8316i | −1.26959 | − | 0.579804i | −0.337262 | − | 0.941411i | ||
−0.932331 | + | 0.361607i | ||||||||
−1.04835 | − | 2.52444i | −0.0560366 | − | 0.134937i | |||||
1.30878 | + | 2.86583i | 0.0698575 | + | 0.152967i | |||||
−10.4762 | + | 9.07771i | −0.558385 | + | 0.483844i | |||||
13.1611 | − | 1.89228i | 0.700495 | − | 0.100716i | 0.217140 | − | 0.976140i | ||
0.483355 | + | 0.875424i | ||||||||
3.30165 | + | 0.969452i | 0.175481 | + | 0.0515258i | |||||
7.23684 | − | 8.35175i | 0.384091 | − | 0.443265i | |||||
18.9522 | + | 12.1798i | 1.00446 | + | 0.645530i | |||||
−12.4641 | − | 6.22489i | −0.659669 | − | 0.329456i | |||||
3.99878 | − | 4.61484i | 0.211342 | − | 0.243902i | |||||
4.06200 | − | 13.8339i | 0.214384 | − | 0.730125i | −0.780139 | − | 0.625606i | ||
0.994523 | − | 0.104518i | ||||||||
0.163607 | + | 1.13791i | 0.00862283 | + | 0.0599731i | |||||
−7.44704 | − | 8.59434i | −0.391950 | − | 0.452334i | |||||
1.13469 | + | 2.48463i | 0.0596382 | + | 0.130589i | |||||
−2.58964 | − | 8.81950i | −0.135921 | − | 0.462904i | |||||
5.05882 | − | 15.2456i | 0.265154 | − | 0.799087i | |||||
14.8380 | + | 2.13338i | 0.776657 | + | 0.111666i | |||||
−1.70446 | − | 2.65220i | −0.0890937 | − | 0.138633i | |||||
−5.90645 | −0.308314 | −0.154157 | − | 0.988046i | ||||||
−0.154157 | + | 0.988046i | ||||||||
13.5569 | − | 10.4381i | 0.706702 | − | 0.544125i | |||||
− | 11.0602i | − | 0.575770i | |||||||
−1.17172 | − | 1.82323i | −0.0609147 | − | 0.0947851i | |||||
0.169848 | − | 4.88011i | 0.00881807 | − | 0.253363i | |||||
−5.38767 | + | 11.7973i | −0.279338 | + | 0.611664i | |||||
1.94395 | + | 6.62049i | 0.100654 | + | 0.342796i | 0.994387 | − | 0.105803i | ||
−0.893733 | + | 0.448599i | ||||||||
5.81336 | − | 2.65487i | 0.300602 | − | 0.137280i | |||||
−7.22904 | + | 6.26400i | −0.373306 | + | 0.323472i | |||||
−1.17534 | + | 0.168989i | −0.0606137 | + | 0.00871494i | |||||
1.66239 | − | 5.66158i | 0.0856175 | − | 0.291586i | |||||
−0.407012 | + | 0.587349i | −0.0209345 | + | 0.0302100i | |||||
2.26030 | − | 3.51710i | 0.116104 | − | 0.180661i | −0.778338 | − | 0.627846i | ||
0.894442 | + | 0.447185i | ||||||||
−9.68353 | − | 6.22322i | −0.496754 | − | 0.319245i | |||||
−6.67096 | − | 5.78042i | −0.341763 | − | 0.296140i | |||||
1.45732 | − | 4.96319i | 0.0745632 | − | 0.253939i | |||||
−5.18273 | − | 36.0467i | −0.264825 | − | 1.84190i | −0.495178 | − | 0.868792i | ||
0.230353 | − | 0.973107i | ||||||||
5.94919 | − | 5.15500i | 0.303593 | − | 0.263065i | |||||
6.58535 | + | 11.0760i | 0.335621 | + | 0.564488i | |||||
1.15119 | − | 0.338020i | 0.0585940 | − | 0.0172048i | |||||
−1.28107 | − | 0.585044i | −0.0651203 | − | 0.0297395i | |||||
−2.19933 | + | 15.2967i | −0.111654 | + | 0.776571i | |||||
−0.566956 | − | 0.882200i | −0.0287458 | − | 0.0447293i | 0.826583 | − | 0.562814i | ||
−0.855329 | + | 0.518085i | ||||||||
0.922293 | 0.0467021 | |||||||||
−23.5400 | + | 9.14514i | −1.19047 | + | 0.462489i | |||||
7.25203 | − | 1.59141i | 0.366283 | − | 0.0803782i | |||||
−16.6504 | + | 10.7005i | −0.839900 | + | 0.539771i | |||||
−0.0734928 | + | 0.511154i | −0.00370252 | + | 0.0257516i | |||||
−8.70161 | − | 3.97389i | −0.437826 | − | 0.199948i | |||||
2.43960 | + | 8.30851i | 0.122594 | + | 0.417518i | |||||
2.14138 | − | 0.977934i | 0.107473 | − | 0.0490811i | −0.360953 | − | 0.932584i | ||
0.468426 | + | 0.883503i | ||||||||
−1.60436 | − | 1.85153i | −0.0804194 | − | 0.0928089i | |||||
−3.61881 | − | 14.1247i | −0.181167 | − | 0.707121i | |||||
13.0942 | + | 3.84481i | 0.654710 | + | 0.192240i | |||||
16.9334 | + | 14.6729i | 0.845614 | + | 0.732728i | 0.965596 | − | 0.260048i | ||
−0.119982 | + | 0.992776i | ||||||||
−2.34563 | − | 1.50745i | −0.116990 | − | 0.0751846i | |||||
17.8376 | + | 11.4635i | 0.888554 | + | 0.571039i | |||||
13.9943 | + | 12.1261i | 0.696242 | + | 0.603297i | |||||
1.03996 | + | 0.305361i | 0.0516763 | + | 0.0151735i | |||||
1.29647 | − | 0.332161i | 0.0643428 | − | 0.0164849i | |||||
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−0.985353 | + | 0.170526i | ||||||||
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16.1588 | − | 10.3846i | 0.796086 | − | 0.511613i | |||||
−33.5114 | + | 3.63369i | −1.64899 | + | 0.178802i | |||||
0.292459 | + | 1.26185i | 0.0143736 | + | 0.0620168i | |||||
0.785941 | 0.0385803 | |||||||||
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6.08412 | + | 2.77852i | 0.297584 | + | 0.135902i | |||||
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−0.324273 | + | 0.945964i | ||||||||
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0.466757 | − | 0.404448i | 0.0227484 | − | 0.0197116i | −0.643412 | − | 0.765520i | ||
0.666161 | + | 0.745808i | ||||||||
0.728078 | + | 5.06390i | 0.0354423 | + | 0.246507i | |||||
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1.48881 | − | 2.31663i | 0.0721331 | − | 0.112241i | |||||
25.3840 | + | 17.5902i | 1.22842 | + | 0.851250i | |||||
3.05140 | − | 10.3921i | 0.147495 | − | 0.502322i | |||||
14.0129 | − | 2.01476i | 0.676551 | − | 0.0972733i | |||||
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9.67073 | − | 4.41648i | 0.465823 | − | 0.212734i | −0.168655 | − | 0.985675i | ||
0.634478 | + | 0.772941i | ||||||||
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7.20625 | − | 15.7795i | 0.346310 | − | 0.758314i | −0.653689 | − | 0.756764i | ||
0.999999 | − | 0.00154997i | ||||||||
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− | 5.97479i | − | 0.286140i | |||||||
−23.3667 | − | 12.3512i | −1.11778 | − | 0.590838i | |||||
3.73550 | 0.178489 | |||||||||
7.28174 | + | 11.3306i | 0.347538 | + | 0.540780i | 0.970385 | − | 0.241564i | ||
−0.622847 | + | 0.782344i | ||||||||
5.11324 | + | 0.735172i | 0.243764 | + | 0.0350480i | |||||
1.47551 | − | 6.84272i | 0.0702623 | − | 0.325844i | |||||
1.26240 | + | 4.29932i | 0.0600460 | + | 0.204498i | |||||
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−0.958916 | + | 0.283689i | ||||||||
9.34269 | + | 10.7820i | 0.443384 | + | 0.511693i | |||||
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8.93655 | + | 5.74317i | 0.421742 | + | 0.271037i | 0.734252 | − | 0.678877i | ||
−0.312510 | + | 0.949915i | ||||||||
−0.676572 | + | 0.780805i | −0.0318939 | + | 0.0368075i | |||||
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1.19700 | + | 2.62106i | 0.0561780 | + | 0.123013i | |||||
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−0.845899 | + | 0.533344i | ||||||||
−0.795095 | + | 0.510976i | −0.0371523 | + | 0.0238764i | |||||
5.26583i | 0.245788i | |||||||||
−9.81595 | − | 1.99644i | −0.457671 | − | 0.0930847i | |||||
4.03455i | 0.187908i | 0.995577 | + | 0.0939540i | ||||||
−0.995577 | + | 0.0939540i | ||||||||
2.01710 | + | 2.49841i | 0.0938438 | + | 0.116236i | |||||
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−0.839028 | + | 0.544088i | ||||||||
−2.77571 | + | 6.07795i | −0.128859 | + | 0.282162i | |||||
6.99913 | − | 2.05513i | 0.324577 | − | 0.0953043i | |||||
−1.39581 | − | 3.05639i | −0.0646594 | − | 0.141584i | |||||
2.48941 | + | 2.87293i | 0.115196 | + | 0.132943i | 0.810419 | − | 0.585851i | ||
−0.695223 | + | 0.718795i | ||||||||
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26.8837 | + | 4.82511i | 1.24138 | + | 0.222803i | |||||
0.247683 | + | 0.214619i | 0.0114248 | + | 0.00989961i | |||||
9.65436 | − | 15.0225i | 0.444849 | − | 0.692199i | |||||
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18.2767 | − | 19.6664i | 0.837711 | − | 0.901408i | |||||
−1.67884 | + | 0.766701i | −0.0768688 | + | 0.0351048i | |||||
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0.790773 | + | 0.612110i | ||||||||
−3.30958 | − | 0.475846i | −0.151061 | − | 0.0217193i | |||||
19.6219 | − | 12.6102i | 0.894681 | − | 0.574977i | |||||
5.13272 | 0.233789 | |||||||||
−7.38652 | − | 10.3169i | −0.336098 | − | 0.469437i | |||||
17.7131 | 0.805143 | |||||||||
7.31224 | − | 4.69929i | 0.332032 | − | 0.213384i | |||||
0.267340 | + | 0.0384377i | 0.0121268 | + | 0.00174357i | |||||
8.16380 | − | 17.8762i | 0.369937 | − | 0.810049i | −0.629516 | − | 0.776987i | ||
0.999453 | − | 0.0330617i | ||||||||
11.8792 | − | 3.48805i | 0.537746 | − | 0.157897i | |||||
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−1.64269 | − | 1.22505i | −0.0742093 | − | 0.0553420i | |||||
4.89665 | + | 34.0570i | 0.220983 | + | 1.53697i | 0.734333 | + | 0.678790i | ||
−0.513350 | + | 0.858180i | ||||||||
20.4502 | + | 6.00472i | 0.921967 | + | 0.270714i | |||||
6.45843 | − | 7.45343i | 0.290873 | − | 0.335685i | |||||
−2.53534 | + | 3.94507i | −0.114071 | + | 0.177497i | |||||
2.63314 | − | 4.09724i | 0.118351 | − | 0.184157i | |||||
−18.1461 | − | 15.7237i | −0.814784 | − | 0.706014i | |||||
−4.76546 | + | 26.5514i | −0.213760 | + | 1.19099i | |||||
0.193855 | − | 0.0278722i | 0.00868686 | − | 0.00124898i | |||||
8.97398 | + | 10.3565i | 0.401731 | + | 0.463622i | 0.920185 | − | 0.391483i | ||
−0.518455 | + | 0.855105i | ||||||||
−7.65735 | − | 16.7673i | −0.342447 | − | 0.749854i | |||||
8.16038 | − | 2.39610i | 0.364579 | − | 0.107050i | |||||
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−0.871681 | + | 0.490074i | ||||||||
−1.76281 | − | 2.18344i | −0.0785218 | − | 0.0972583i | |||||
− | 10.4149i | − | 0.463458i | |||||||
5.81075 | + | 0.336534i | 0.258319 | + | 0.0149608i | |||||
− | 3.07413i | − | 0.136527i | |||||||
14.3097 | − | 9.19628i | 0.634890 | − | 0.408019i | |||||
2.11143 | + | 0.303578i | 0.0935875 | + | 0.0134558i | 0.188949 | − | 0.981987i | ||
−0.0953620 | + | 0.995443i | ||||||||
1.40222 | + | 0.640373i | 0.0620914 | + | 0.0283562i | |||||
−33.7942 | + | 14.0341i | −1.49497 | + | 0.620830i | |||||
7.71584 | + | 16.8953i | 0.340995 | + | 0.746675i | |||||
−4.16499 | + | 3.60899i | −0.183889 | + | 0.159341i | |||||
7.34085 | − | 1.05546i | 0.323791 | − | 0.0465541i | |||||
−10.3659 | − | 3.04370i | −0.456776 | − | 0.134122i | |||||
1.77725 | − | 2.05106i | 0.0782391 | − | 0.0902928i | |||||
4.23203 | + | 2.71976i | 0.186124 | + | 0.119615i | |||||
4.73294 | + | 2.36376i | 0.207953 | + | 0.103857i | |||||
6.36962 | − | 7.35093i | 0.279595 | − | 0.322670i | |||||
−1.02040 | + | 3.47518i | −0.0447477 | + | 0.152397i | |||||
−5.45094 | − | 37.9121i | −0.238810 | − | 1.66096i | −0.657968 | − | 0.753046i | ||
0.419158 | − | 0.907913i | ||||||||
−0.331259 | − | 0.382294i | −0.0144988 | − | 0.0167325i | |||||
−6.97867 | − | 15.2812i | −0.305156 | − | 0.668199i | 0.693476 | − | 0.720479i | ||
−0.998632 | + | 0.0522808i | ||||||||
−10.7455 | − | 36.5959i | −0.469420 | − | 1.59870i | |||||
3.18734 | − | 9.60559i | 0.139107 | − | 0.419222i | |||||
−1.66819 | − | 0.239850i | −0.0727367 | − | 0.0104580i | |||||
19.1602 | + | 29.8139i | 0.834632 | + | 1.29871i | |||||
−16.0313 | −0.697671 | |||||||||
−22.8462 | − | 2.65522i | −0.993314 | − | 0.115444i | |||||
0.540291i | 0.0234688i | |||||||||
6.88796 | + | 10.7179i | 0.298912 | + | 0.465116i | |||||
28.0812 | + | 0.977342i | 1.21747 | + | 0.0423731i | |||||
14.4754 | − | 31.6966i | 0.626997 | − | 1.37293i | |||||
−0.889577 | − | 3.02962i | −0.0384958 | − | 0.131105i | |||||
−5.54130 | + | 2.53063i | −0.239571 | + | 0.109409i | |||||
8.27518 | − | 7.17049i | 0.357433 | − | 0.309718i | |||||
22.3783 | − | 3.21752i | 0.965697 | − | 0.138846i | |||||
−0.979761 | + | 3.33676i | −0.0422405 | + | 0.143858i | |||||
−27.6345 | − | 15.0244i | −1.19030 | − | 0.647146i | |||||
−1.12922 | + | 1.75710i | −0.0485940 | + | 0.0756137i | |||||
−38.3527 | − | 24.6478i | −1.64891 | − | 1.05969i | −0.931955 | − | 0.362574i | ||
−0.716957 | − | 0.697117i | ||||||||
0.263678 | + | 0.228478i | 0.0113259 | + | 0.00981398i | |||||
−2.84922 | + | 9.70355i | −0.122272 | + | 0.416419i | |||||
−2.31183 | − | 16.0791i | −0.0991190 | − | 0.689388i | |||||
−2.53971 | + | 2.20067i | −0.108789 | + | 0.0942663i | |||||
−1.93514 | + | 1.15055i | −0.0828162 | + | 0.0492391i | |||||
11.3960 | − | 3.34618i | 0.487260 | − | 0.143072i | −0.0288693 | − | 0.999583i | ||
0.516129 | + | 0.856511i | ||||||||
−4.92300 | − | 2.24826i | −0.210300 | − | 0.0960408i | |||||
1.66120 | − | 11.5539i | 0.0708982 | − | 0.493108i | |||||
2.50993 | + | 3.90553i | 0.107024 | + | 0.166532i | |||||
10.3216 | 0.439716 | |||||||||
−5.07821 | − | 0.294109i | −0.216143 | − | 0.0125181i | |||||
23.2150 | − | 2.51723i | 0.987201 | − | 0.107044i | |||||
2.79829 | − | 1.79835i | 0.118888 | − | 0.0764046i | |||||
1.14198 | − | 7.94261i | 0.0484741 | − | 0.337145i | |||||
−20.1937 | − | 9.22215i | −0.856403 | − | 0.391106i | |||||
1.50719 | + | 5.13302i | 0.0638617 | + | 0.217493i | 0.985241 | − | 0.171171i | ||
−0.921380 | + | 0.388664i | ||||||||
1.65348 | − | 0.755118i | 0.0699973 | − | 0.0319667i | |||||
−2.90563 | − | 3.35327i | −0.122895 | − | 0.141828i | |||||
9.91061 | − | 2.53914i | 0.418800 | − | 0.107298i | |||||
22.7037 | + | 6.66640i | 0.958550 | + | 0.281456i | |||||
−4.84778 | − | 4.20063i | −0.204491 | − | 0.177193i | |||||
11.6071 | + | 7.45945i | 0.489182 | + | 0.314378i | 0.761876 | − | 0.647722i | ||
−0.272694 | + | 0.962101i | ||||||||
−1.81491 | − | 1.16637i | −0.0764213 | − | 0.0491130i | |||||
7.23692 | + | 6.27082i | 0.304459 | + | 0.263816i | |||||
2.49463 | + | 0.732488i | 0.104857 | + | 0.0307888i | |||||
−2.56297 | + | 0.656644i | −0.107635 | + | 0.0275764i | |||||
7.08184 | + | 8.17288i | 0.297147 | + | 0.342926i | |||||
21.2851 | − | 9.72056i | 0.892316 | − | 0.407507i | 0.0841443 | − | 0.996454i | ||
0.808172 | + | 0.588946i | ||||||||
0.454525 | + | 1.54797i | 0.0190380 | + | 0.0648373i | |||||
−43.2169 | − | 19.7365i | −1.80857 | − | 0.825946i | −0.949261 | − | 0.314489i | ||
−0.859309 | − | 0.511457i | ||||||||
−3.88254 | + | 27.0036i | −0.162337 | + | 1.12908i | |||||
16.1116 | − | 10.3543i | 0.673072 | − | 0.432557i | |||||
7.85744 | − | 0.851994i | 0.327963 | − | 0.0355616i | |||||
−9.00923 | − | 15.9806i | −0.375711 | − | 0.666435i | |||||
6.30207 | 0.262586 | |||||||||
7.29062 | + | 11.3444i | 0.303513 | + | 0.472275i | 0.959188 | − | 0.282768i | ||
−0.655676 | + | 0.755043i | ||||||||
−0.412395 | + | 2.86827i | −0.0171534 | + | 0.119304i | |||||
4.04076 | + | 1.84535i | 0.167928 | + | 0.0766903i | |||||
3.75339 | − | 1.10209i | 0.155851 | − | 0.0457620i | |||||
−1.64905 | + | 0.980454i | −0.0684140 | + | 0.0406761i | |||||
1.63694 | − | 1.41841i | 0.0678532 | − | 0.0587952i | |||||
1.18027 | + | 8.20896i | 0.0488818 | + | 0.339981i | |||||
−4.13288 | + | 14.0753i | −0.171020 | + | 0.582440i | |||||
2.58071 | + | 2.23620i | 0.106699 | + | 0.0924554i | |||||
−0.491664 | − | 0.315973i | −0.0203104 | − | 0.0130527i | |||||
0.327769 | − | 0.510018i | 0.0135285 | − | 0.0210507i | −0.834423 | − | 0.551124i | ||
0.847952 | + | 0.530073i | ||||||||
11.8511 | + | 6.44321i | 0.488730 | + | 0.265713i | |||||
−10.4496 | + | 35.5880i | −0.430567 | + | 1.46638i | |||||
3.69167 | − | 0.530782i | 0.151984 | − | 0.0218520i | |||||
−1.44499 | + | 1.25209i | −0.0594390 | + | 0.0515042i | |||||
−24.0257 | + | 10.9722i | −0.987448 | + | 0.450953i | |||||
5.35710 | + | 18.2446i | 0.219990 | + | 0.749217i | 0.993338 | + | 0.115235i | ||
−0.773348 | + | 0.633981i | ||||||||
0.504171 | − | 1.10398i | 0.0206864 | − | 0.0452968i | |||||
−15.0914 | − | 0.525243i | −0.618687 | − | 0.0215329i | |||||
−12.0912 | − | 18.8143i | −0.495275 | − | 0.770663i | |||||
− | 9.07080i | − | 0.371243i | |||||||
−0.813352 | + | 3.99902i | −0.0332605 | + | 0.163532i | |||||
−45.3081 | −1.85124 | −0.925620 | − | 0.378453i | ||||||
−0.925620 | + | 0.378453i | ||||||||
−2.19351 | − | 3.41317i | −0.0895498 | − | 0.139342i | |||||
−5.12812 | − | 0.737313i | −0.209181 | − | 0.0300756i | 0.0369278 | − | 0.999318i | ||
−0.246108 | + | 0.969242i | ||||||||
0.316946 | − | 0.955170i | 0.0129178 | − | 0.0389298i | |||||
−2.90846 | − | 9.90529i | −0.118441 | − | 0.403375i | |||||
−6.96554 | − | 15.2524i | −0.283424 | − | 0.620611i | |||||
−6.52421 | − | 7.52934i | −0.265247 | − | 0.306111i | |||||
−0.369349 | − | 2.56888i | −0.0150038 | − | 0.104354i | |||||
−3.79079 | + | 12.9103i | −0.153864 | + | 0.524011i | −0.999959 | − | 0.00901974i | ||
0.846096 | + | 0.533031i | ||||||||
11.1333 | − | 12.8485i | 0.451516 | − | 0.521077i | |||||
4.43308 | + | 2.21400i | 0.179637 | + | 0.0897157i | |||||
−2.87463 | − | 1.84742i | −0.116391 | − | 0.0747997i | |||||
−2.30976 | + | 2.66561i | −0.0934429 | + | 0.107839i | |||||
−9.73647 | − | 2.85889i | −0.393574 | − | 0.115564i | |||||
7.30054 | − | 1.04966i | 0.294866 | − | 0.0423953i | 0.00670569 | − | 0.999978i | ||
0.288160 | + | 0.957582i | ||||||||
3.40435 | − | 2.94989i | 0.137389 | − | 0.119048i | |||||
−4.97991 | − | 10.9045i | −0.200809 | − | 0.439711i | |||||
−11.6456 | + | 4.83619i | −0.469215 | + | 0.194856i | |||||
33.3461 | + | 15.2286i | 1.34246 | + | 0.613082i | 0.951592 | − | 0.307363i | ||
0.390871 | + | 0.920446i | ||||||||
−2.66473 | − | 0.383130i | −0.107191 | − | 0.0154117i | |||||
−11.1866 | + | 7.18916i | −0.449626 | + | 0.288957i | −0.745791 | − | 0.666180i | ||
0.296166 | + | 0.955137i | ||||||||
14.0571i | 0.564546i | |||||||||
−2.24116 | + | 4.23995i | −0.0899346 | + | 0.170143i | |||||
4.44699i | 0.178308i | |||||||||
19.4299 | + | 24.0662i | 0.778442 | + | 0.964191i | |||||
1.59961 | − | 11.1255i | 0.0640357 | − | 0.445378i | |||||
3.63841 | − | 7.96701i | 0.145537 | − | 0.318681i | |||||
−8.79326 | + | 2.58193i | −0.351449 | + | 0.103195i | |||||
10.2874 | + | 22.5263i | 0.410840 | + | 0.899614i | |||||
22.5350 | + | 26.0067i | 0.899243 | + | 1.03778i | |||||
38.5881 | − | 5.54812i | 1.53861 | − | 0.221218i | |||||
−0.136825 | + | 0.762340i | −0.00545125 | + | 0.0303724i | |||||
5.37572 | + | 4.65809i | 0.214004 | + | 0.185435i | 0.755266 | − | 0.655419i | ||
−0.541262 | + | 0.840854i | ||||||||
5.06104 | − | 7.87514i | 0.201318 | − | 0.313256i | |||||
−10.2407 | + | 15.9348i | −0.407031 | + | 0.633353i | |||||
0.656549 | − | 0.757698i | 0.0260749 | − | 0.0300920i | |||||
−9.17971 | − | 2.69541i | −0.364286 | − | 0.106964i | |||||
−0.506159 | − | 3.52041i | −0.0200705 | − | 0.139594i | |||||
13.1842 | − | 17.6790i | 0.522376 | − | 0.700466i | |||||
−2.06763 | + | 0.944255i | −0.0818582 | + | 0.0373834i | |||||
9.78283 | − | 2.87250i | 0.387003 | − | 0.113634i | |||||
3.54437 | − | 7.76108i | 0.140103 | − | 0.306784i | |||||
25.9394 | + | 3.72952i | 1.02454 | + | 0.147307i | 0.634045 | − | 0.773296i | ||
0.390499 | + | 0.920603i | ||||||||
−1.27704 | + | 0.820702i | −0.0504006 | + | 0.0323905i | |||||
−18.8578 | −0.743678 | −0.371839 | − | 0.928297i | ||||||
−0.371839 | + | 0.928297i | ||||||||
23.0862 | − | 8.05641i | 0.909723 | − | 0.317467i | |||||
−1.52645 | −0.0601040 | |||||||||
−6.59382 | + | 4.23759i | −0.259430 | + | 0.166726i | |||||
13.4429 | + | 1.93280i | 0.528496 | + | 0.0759863i | 0.401398 | − | 0.915904i | ||
0.127098 | + | 0.991890i | ||||||||
−0.440612 | + | 0.964806i | −0.0173089 | + | 0.0379011i | |||||
54.9302 | − | 16.1290i | 2.15620 | − | 0.633117i | |||||
−2.96084 | + | 1.35217i | −0.116134 | + | 0.0530365i | |||||
−12.1217 | + | 13.0434i | −0.475086 | + | 0.511211i | |||||
−6.23685 | − | 43.3783i | −0.244254 | − | 1.69882i | |||||
−17.4593 | − | 5.12651i | −0.683235 | − | 0.200616i | −0.0783464 | − | 0.996926i | ||
−0.604888 | + | 0.796310i | ||||||||
−0.548385 | + | 0.632870i | −0.0214435 | + | 0.0247472i | |||||
−11.5980 | + | 18.0468i | −0.453171 | + | 0.705147i | |||||
−21.3330 | + | 33.1948i | −0.832913 | + | 1.29604i | |||||
10.4525 | + | 9.05713i | 0.407790 | + | 0.353352i | |||||
−0.787418 | − | 0.141326i | −0.0306968 | − | 0.00550947i | |||||
7.42513 | − | 1.06757i | 0.289242 | − | 0.0415867i | 0.00383348 | − | 0.999993i | ||
0.285409 | + | 0.958406i | ||||||||
6.14621 | + | 7.09310i | 0.239241 | + | 0.276099i | |||||
−7.89523 | − | 17.2882i | −0.307089 | − | 0.672431i | 0.691671 | − | 0.722213i | ||
−0.998760 | + | 0.0497815i | ||||||||
−1.26056 | + | 0.370133i | −0.0489930 | + | 0.0143856i | |||||
−6.89181 | + | 15.0909i | −0.267656 | + | 0.586084i | |||||
−0.109455 | + | 0.761279i | −0.00424769 | + | 0.0295434i | |||||
−9.92760 | − | 12.2965i | −0.384976 | − | 0.476837i | |||||
− | 1.99957i | − | 0.0774818i | |||||||
8.37243 | − | 3.25264i | 0.324182 | − | 0.125943i | |||||
16.3894i | 0.634123i | |||||||||
−18.8708 | + | 12.1275i | −0.729588 | + | 0.468878i | |||||
−2.99135 | − | 0.430091i | −0.115566 | − | 0.0166159i | |||||
−47.7117 | − | 21.7892i | −1.84189 | − | 0.841163i | |||||
7.53772 | − | 3.13026i | 0.290774 | − | 0.120753i | |||||
−3.26764 | − | 7.15514i | −0.125958 | − | 0.275810i | 0.836138 | − | 0.548518i | ||
−0.962097 | + | 0.272708i | ||||||||
−0.331740 | + | 0.287454i | −0.0127781 | + | 0.0110723i | |||||
−3.78629 | + | 0.544387i | −0.145734 | + | 0.0209535i | |||||
5.68404 | + | 1.66898i | 0.218617 | + | 0.0641917i | |||||
1.86548 | − | 2.15288i | 0.0716963 | − | 0.0827420i | −0.718768 | − | 0.695250i | ||
0.790465 | + | 0.612508i | ||||||||
2.00740 | + | 1.29008i | 0.0770936 | + | 0.0495450i | |||||
−9.48008 | + | 18.9819i | −0.363812 | + | 0.728459i | |||||
−3.96430 | + | 4.57505i | −0.152024 | + | 0.175445i | |||||
−3.00567 | + | 10.2364i | −0.115178 | + | 0.392259i | |||||
−1.16244 | − | 8.08495i | −0.0445122 | − | 0.309589i | |||||
4.52163 | + | 5.21824i | 0.173015 | + | 0.199670i | 0.835634 | − | 0.549287i | ||
−0.662619 | + | 0.748957i | ||||||||
−4.41176 | − | 9.66041i | −0.168688 | − | 0.369375i | |||||
0.857599 | + | 2.92072i | 0.0327672 | + | 0.111595i | |||||
4.97491 | + | 0.521126i | 0.189943 | + | 0.0198967i | |||||
−3.46371 | − | 0.498006i | −0.132149 | − | 0.0190001i | |||||
2.71641 | + | 4.22682i | 0.103562 | + | 0.161146i | |||||
−5.81471 | −0.221523 | |||||||||
0.856499 | + | 1.11241i | 0.0326064 | + | 0.0423487i | |||||
1.87878i | 0.0714722i | 0.999361 | + | 0.0357361i | ||||||
−0.999361 | + | 0.0357361i | ||||||||
10.1337 | + | 15.7683i | 0.385224 | + | 0.599421i | |||||
−0.413528 | + | 11.8816i | −0.0157086 | + | 0.451344i | |||||
2.40145 | − | 5.25844i | 0.0911577 | − | 0.199608i | |||||
3.51780 | + | 11.9805i | 0.133438 | + | 0.454447i | |||||
1.80697 | − | 0.825217i | 0.0684931 | − | 0.0312798i | |||||
44.0156 | − | 38.1398i | 1.66721 | − | 1.44465i | |||||
−6.97069 | + | 1.00223i | −0.263845 | + | 0.0379351i | |||||
3.50487 | − | 11.9365i | 0.132566 | − | 0.451480i | |||||
16.0302 | + | 11.1084i | 0.605885 | + | 0.419857i | |||||
−20.2576 | + | 31.5215i | −0.765120 | + | 1.19055i | 0.211877 | + | 0.977296i | ||
−0.976997 | + | 0.213253i | ||||||||
0.715845 | + | 0.460045i | 0.0270178 | + | 0.0173633i | |||||
30.8350 | + | 26.7187i | 1.16296 | + | 1.00771i | |||||
7.97826 | − | 27.1714i | 0.300692 | − | 1.02406i | |||||
0.172687 | + | 1.20107i | 0.00650379 | + | 0.0452348i | |||||
2.71407 | − | 2.35175i | 0.102145 | − | 0.0885094i | |||||
12.9925 | + | 21.8524i | 0.488634 | + | 0.821844i | |||||
−23.5568 | + | 6.91691i | −0.885320 | + | 0.259953i | |||||
−36.7527 | − | 16.7844i | −1.38027 | − | 0.630350i | −0.419519 | − | 0.907746i | ||
−0.960756 | + | 0.277396i | ||||||||
0.424774 | − | 2.95437i | 0.0159415 | − | 0.110875i | |||||
−4.77162 | − | 7.42479i | −0.178950 | − | 0.278451i | |||||
12.3998 | 0.464701 | |||||||||
2.73856 | + | 32.1603i | 0.102560 | + | 1.20441i | |||||
−3.74097 | + | 0.405640i | −0.140002 | + | 0.0151807i | |||||
12.9085 | − | 8.29579i | 0.482751 | − | 0.310245i | |||||
−6.20033 | + | 43.1242i | −0.231717 | + | 1.61163i | |||||
−10.3931 | − | 4.74637i | −0.388138 | − | 0.177256i | |||||
−1.09710 | − | 3.73639i | −0.0409435 | − | 0.139441i | |||||
28.7094 | − | 13.1112i | 1.07068 | − | 0.488964i | 0.199486 | − | 0.979901i | ||
0.871195 | + | 0.490937i | ||||||||
−2.53225 | − | 2.92237i | −0.0943712 | − | 0.108910i | |||||
25.5465 | − | 6.54512i | 0.951402 | − | 0.243753i | |||||
−2.94703 | − | 0.865325i | −0.109677 | − | 0.0322041i | |||||
14.3621 | + | 12.4448i | 0.534133 | + | 0.462829i | |||||
−16.3949 | − | 10.5364i | −0.609312 | − | 0.391581i | |||||
6.02693 | + | 3.87327i | 0.223834 | + | 0.143850i | |||||
−1.87624 | − | 1.62577i | −0.0696337 | − | 0.0603379i | |||||
33.7177 | + | 9.90040i | 1.25052 | + | 0.367186i | 0.838958 | − | 0.544196i | ||
0.411562 | + | 0.911382i | ||||||||
−2.19426 | − | 8.56450i | −0.0813247 | − | 0.317422i | |||||
0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | |||||
3.68292 | − | 1.68193i | 0.136311 | − | 0.0622511i | |||||
−2.08934 | − | 7.11565i | −0.0772772 | − | 0.263182i | |||||
20.4612 | + | 9.34430i | 0.756267 | + | 0.345375i | |||||
−4.24969 | + | 29.5572i | −0.156966 | + | 1.09172i | 0.747218 | + | 0.664579i | ||
−0.904184 | + | 0.427143i | ||||||||
−1.34202 | + | 0.862467i | −0.0495350 | + | 0.0318342i | |||||
−1.62624 | − | 7.41075i | −0.0599847 | − | 0.273350i | |||||
4.98191 | − | 13.9306i | 0.183636 | − | 0.513488i | |||||
−46.3888 | −1.70875 | |||||||||
−1.61502 | − | 2.51303i | −0.0594498 | − | 0.0925058i | |||||
3.72120 | − | 25.8815i | 0.136887 | − | 0.952067i | −0.799392 | − | 0.600809i | ||
0.936279 | − | 0.351257i | ||||||||
14.0658 | + | 6.42365i | 0.517070 | + | 0.236138i | |||||
−16.6595 | + | 4.89168i | −0.612003 | + | 0.179700i | |||||
−0.674009 | − | 1.13363i | −0.0247436 | − | 0.0416168i | |||||
−7.25393 | + | 6.28557i | −0.266121 | + | 0.230595i | −0.777691 | − | 0.628646i | ||
0.511570 | + | 0.859241i | ||||||||
1.01590 | + | 7.06572i | 0.0372446 | + | 0.259042i | |||||
−3.54390 | + | 12.0694i | −0.129838 | + | 0.442189i | |||||
1.40843 | + | 1.22041i | 0.0515661 | + | 0.0446823i | |||||
0.610014 | + | 0.392032i | 0.0223192 | + | 0.0143437i | |||||
−24.6522 | + | 38.3596i | −0.901376 | + | 1.40257i | |||||
8.46972 | − | 12.2224i | 0.309477 | − | 0.446598i | |||||
−0.727859 | + | 2.47886i | −0.0265777 | + | 0.0905152i | |||||
−23.5208 | + | 3.38177i | −0.858284 | + | 0.123403i | −0.557386 | − | 0.830254i | ||
−0.300898 | + | 0.953656i | ||||||||
3.01850 | − | 2.61555i | 0.110074 | − | 0.0953792i | |||||
−9.43432 | + | 4.30851i | −0.343806 | + | 0.157011i | |||||
−0.448994 | − | 1.52913i | −0.0163514 | − | 0.0556877i | |||||
−3.91776 | + | 8.57870i | −0.142582 | + | 0.312211i | |||||
0.177341 | − | 5.09541i | 0.00644984 | − | 0.185318i | |||||
−5.87141 | − | 9.13609i | −0.213400 | − | 0.332057i | 0.718007 | − | 0.696036i | ||
−0.931407 | + | 0.363979i | ||||||||
− | 1.12918i | − | 0.0410138i | |||||||
15.4434 | + | 15.0305i | 0.560559 | + | 0.545571i | |||||
−6.33559 | −0.229816 | |||||||||
15.0257 | + | 23.3805i | 0.544682 | + | 0.847541i | 0.999064 | − | 0.0432657i | ||
−0.454382 | + | 0.890807i | ||||||||
−2.35980 | − | 0.339287i | −0.0854864 | − | 0.0122911i | |||||
2.58345 | − | 7.78567i | 0.0935273 | − | 0.281860i | |||||
10.3978 | + | 35.4117i | 0.376180 | + | 1.28115i | |||||
2.37097 | + | 5.19169i | 0.0857225 | + | 0.187706i | |||||
−6.44117 | − | 7.43351i | −0.232729 | − | 0.268584i | |||||
5.71237 | + | 39.7304i | 0.206262 | + | 1.43458i | |||||
−2.95200 | + | 10.0536i | −0.106521 | + | 0.362778i | |||||
−12.0360 | + | 13.8903i | −0.434030 | + | 0.500897i | −0.930060 | − | 0.367408i | ||
0.496030 | + | 0.868305i | ||||||||
3.11362 | + | 1.55503i | 0.112207 | + | 0.0560393i | |||||
23.0998 | + | 14.8454i | 0.831921 | + | 0.534643i | |||||
−5.60583 | + | 6.46947i | −0.201758 | + | 0.232841i | |||||
−35.6254 | − | 10.4606i | −1.28136 | − | 0.376241i | −0.430955 | − | 0.902373i | ||
−0.850402 | + | 0.526133i | ||||||||
−0.376505 | + | 0.0541333i | −0.0135332 | + | 0.00194578i | |||||
−19.4563 | + | 16.8590i | −0.698891 | + | 0.605593i | |||||
3.53348 | + | 7.73725i | 0.126845 | + | 0.277751i | |||||
7.51227 | + | 18.0896i | 0.269501 | + | 0.648962i | |||||
−0.257640 | − | 0.117660i | −0.00923685 | − | 0.00421833i | |||||
60.3331 | + | 8.67459i | 2.16166 | + | 0.310800i | |||||
−5.53581 | + | 3.55765i | −0.198214 | + | 0.127384i | |||||
− | 45.8153i | − | 1.63940i | |||||||
−4.01322 | + | 5.51524i | −0.143513 | + | 0.197225i | |||||
− | 1.87289i | − | 0.0669315i | |||||||
−17.6267 | + | 17.6910i | −0.629525 | + | 0.631821i | |||||
2.75449 | − | 19.1579i | 0.0983120 | − | 0.683775i | |||||
−2.22068 | + | 4.86262i | −0.0792091 | + | 0.173444i | |||||
−17.9026 | + | 5.25668i | −0.638159 | + | 0.187380i | −0.584777 | − | 0.811194i | ||
−0.0533816 | + | 0.998574i | ||||||||
−1.53060 | − | 3.35156i | −0.0545255 | − | 0.119394i | |||||
−4.08631 | − | 4.71585i | −0.145476 | − | 0.167889i | |||||
−2.55740 | + | 0.367698i | −0.0909882 | + | 0.0130821i | |||||
−23.0072 | − | 4.12934i | −0.818041 | − | 0.146822i | |||||
3.60197 | + | 3.12112i | 0.127990 | + | 0.110904i | |||||
19.8822 | − | 30.9373i | 0.706038 | − | 1.09862i | |||||
0.343751 | − | 0.534887i | 0.0121993 | − | 0.0189824i | |||||
−1.30999 | + | 1.51181i | −0.0464607 | + | 0.0536185i | |||||
16.7718 | + | 4.92466i | 0.594462 | + | 0.174550i | |||||
4.31039 | + | 29.9794i | 0.152682 | + | 1.06193i | 0.911700 | + | 0.410856i | ||
−0.759018 | + | 0.651069i | ||||||||
−2.88475 | − | 2.68091i | −0.102119 | − | 0.0949030i | |||||
−5.36248 | + | 2.44896i | −0.189711 | + | 0.0866381i | |||||
11.3224 | − | 3.32456i | 0.400307 | − | 0.117541i | |||||
4.85648 | − | 10.6342i | 0.171595 | − | 0.375741i | |||||
5.99005 | + | 0.861239i | 0.211516 | + | 0.0304114i | |||||
52.2825 | − | 33.5999i | 1.84501 | − | 1.18572i | |||||
19.8939 | 0.701602 | |||||||||
−11.9278 | − | 6.84589i | −0.420399 | − | 0.241286i | |||||
5.72687 | 0.201720 | |||||||||
−10.8318 | + | 6.96120i | −0.381299 | + | 0.245046i | |||||
10.0881 | + | 1.45045i | 0.354899 | + | 0.0510268i | |||||
−22.6825 | + | 49.6678i | −0.797475 | + | 1.74623i | −0.143582 | + | 0.989638i | ||
−0.653892 | + | 0.756588i | ||||||||
0.280883 | − | 0.0824748i | 0.00986924 | − | 0.00289787i | |||||
−17.4723 | + | 7.97932i | −0.613534 | + | 0.280192i | −0.697846 | − | 0.716248i | ||
0.0843118 | + | 0.996439i | ||||||||
−6.50044 | + | 6.99472i | −0.228121 | + | 0.245466i | |||||
0.183839 | + | 1.27863i | 0.00644753 | + | 0.0448436i | |||||
−8.62118 | − | 2.53141i | −0.302172 | − | 0.0887258i | |||||
−16.1416 | + | 18.6285i | −0.565417 | + | 0.652526i | |||||
10.1568 | − | 15.8042i | 0.355558 | − | 0.553259i | |||||
4.19616 | − | 6.52935i | 0.146805 | − | 0.228433i | |||||
−0.941098 | − | 0.815466i | −0.0329047 | − | 0.0285121i | |||||
−8.20443 | − | 1.47254i | −0.286686 | − | 0.0514546i | |||||
22.8660 | − | 3.28763i | 0.798514 | − | 0.114809i | |||||
1.30591 | + | 1.50710i | 0.0455766 | + | 0.0525981i | 0.778080 | − | 0.628165i | ||
−0.732504 | + | 0.680763i | ||||||||
0.315109 | + | 0.689992i | 0.0109907 | + | 0.0240662i | |||||
−7.99543 | + | 2.34767i | −0.278703 | + | 0.0818347i | −0.418097 | − | 0.908402i | ||
0.139394 | + | 0.990237i | ||||||||
4.39182 | − | 9.61674i | 0.152996 | − | 0.335015i | |||||
−2.44622 | + | 17.0138i | −0.0851664 | + | 0.592345i | |||||
−7.08365 | + | 5.71900i | −0.246472 | + | 0.198990i | |||||
47.9455i | 1.66723i | 0.552347 | + | 0.833614i | ||||||
−0.552347 | + | 0.833614i | ||||||||
−6.62289 | − | 6.44581i | −0.230161 | − | 0.224008i | |||||
− | 32.2563i | − | 1.12031i | −0.828389 | − | 0.560153i | ||||
0.828389 | − | 0.560153i | ||||||||
0.178576 | − | 0.114764i | 0.00619848 | − | 0.00398352i | |||||
12.1903 | + | 1.75270i | 0.422877 | + | 0.0608006i | |||||
18.0606 | + | 8.24802i | 0.626140 | + | 0.285949i | |||||
32.3197 | − | 17.7243i | 1.11981 | − | 0.614112i | |||||
1.29255 | + | 2.83028i | 0.0447572 | + | 0.0980047i | |||||
6.96664 | − | 6.03663i | 0.241091 | − | 0.208906i | |||||
−47.2361 | + | 6.79153i | −1.63370 | + | 0.234890i | |||||
6.45754 | + | 1.89610i | 0.223205 | + | 0.0655390i | |||||
−4.18269 | + | 4.82708i | −0.144489 | + | 0.166749i | |||||
−16.0212 | − | 10.2962i | −0.553115 | − | 0.355465i | 0.234034 | − | 0.972228i | ||
−0.787149 | + | 0.616763i | ||||||||
−2.72110 | − | 1.35899i | −0.0938869 | − | 0.0468896i | |||||
16.6939 | − | 19.2658i | 0.575652 | − | 0.664338i | |||||
0.0469957 | − | 0.160053i | 0.00161958 | − | 0.00551577i | |||||
−3.37993 | − | 23.5079i | −0.116411 | − | 0.809656i | |||||
−23.9036 | − | 27.5862i | −0.822795 | − | 0.949556i | |||||
−1.38414 | − | 3.03085i | −0.0476160 | − | 0.104264i | |||||
0.0851880 | + | 0.290124i | 0.00292882 | + | 0.00997466i | |||||
23.0818 | + | 7.65903i | 0.793099 | + | 0.263167i | |||||
6.51749 | + | 0.937074i | 0.223812 | + | 0.0321792i | |||||
5.20433 | + | 8.09810i | 0.178612 | + | 0.277926i | |||||
−5.44041 | −0.186604 | |||||||||
33.4318 | + | 11.9560i | 1.14603 | + | 0.409846i | |||||
19.6479i | 0.673126i | |||||||||
24.3308 | + | 37.8595i | 0.833071 | + | 1.29628i | 0.952837 | + | 0.303481i | ||
−0.119767 | + | 0.992802i | ||||||||
8.33614 | + | 0.290132i | 0.285257 | + | 0.00992811i | |||||
−2.48139 | + | 5.43349i | −0.0848618 | + | 0.185821i | |||||
−1.67950 | − | 5.71985i | −0.0574042 | − | 0.195501i | |||||
0.391463 | − | 0.178775i | 0.0133721 | − | 0.00610685i | −0.408718 | − | 0.912661i | ||
0.422090 | + | 0.906554i | ||||||||
2.88973 | − | 2.50397i | 0.0986538 | − | 0.0854840i | |||||
44.1198 | − | 6.34347i | 1.50535 | − | 0.216436i | 0.660249 | − | 0.751046i | ||
0.845099 | + | 0.534610i | ||||||||
0.828731 | − | 2.82240i | 0.0282595 | − | 0.0962430i | |||||
24.0520 | + | 16.6672i | 0.819690 | + | 0.568016i | |||||
1.55242 | − | 2.41562i | 0.0528757 | − | 0.0822762i | |||||
−34.6908 | − | 22.2944i | −1.18089 | − | 0.758912i | −0.205340 | − | 0.978691i | ||
−0.975550 | + | 0.219779i | ||||||||
−2.33140 | − | 2.02017i | −0.0793160 | − | 0.0687277i | |||||
2.97015 | − | 10.1154i | 0.100988 | − | 0.343934i | |||||
−0.666783 | − | 4.63758i | −0.0226582 | − | 0.157591i | |||||
−8.10838 | + | 7.02595i | −0.275375 | + | 0.238614i | |||||
−17.5361 | − | 29.4943i | −0.595214 | − | 1.00110i | |||||
−38.0528 | + | 11.1733i | −1.29085 | + | 0.379029i | |||||
−0.498726 | − | 0.227760i | −0.0169084 | − | 0.00772180i | |||||
4.62871 | − | 32.1934i | 0.156838 | − | 1.09083i | |||||
−1.77792 | − | 2.76650i | −0.0602079 | − | 0.0936854i | |||||
8.01949 | 0.271418 | |||||||||
−7.11277 | + | 0.605676i | −0.240593 | + | 0.0204873i | |||||
−2.72816 | − | 25.1602i | −0.0922286 | − | 0.850569i | |||||
−22.4214 | + | 14.4093i | −0.757548 | + | 0.486846i | |||||
5.48040 | − | 38.1171i | 0.185060 | − | 1.28712i | −0.659518 | − | 0.751689i | ||
0.844578 | − | 0.535433i | ||||||||
3.30902 | + | 1.51118i | 0.111674 | + | 0.0509998i | |||||
−0.609636 | − | 2.07623i | −0.0205625 | − | 0.0700295i | |||||
−15.8056 | + | 7.21817i | −0.532806 | + | 0.243324i | |||||
−23.7570 | − | 27.4171i | −0.800395 | − | 0.923705i | 0.198008 | − | 0.980200i | ||
−0.998403 | + | 0.0564951i | ||||||||
−0.663928 | − | 1.77022i | −0.0223556 | − | 0.0596063i | |||||
−27.5009 | − | 8.07500i | −0.925480 | − | 0.271745i | −0.215937 | − | 0.976407i | ||
−0.709543 | + | 0.704662i | ||||||||
−24.1614 | − | 20.9360i | −0.812636 | − | 0.704153i | |||||
11.6168 | + | 7.46565i | 0.390494 | + | 0.250955i | |||||
−1.34187 | − | 0.862371i | −0.0450812 | − | 0.0289719i | |||||
7.78761 | + | 6.74800i | 0.261482 | + | 0.226576i | 0.775728 | − | 0.631067i | ||
−0.514246 | + | 0.857643i | ||||||||
7.53434 | + | 2.21228i | 0.252836 | + | 0.0742394i | |||||
22.6232 | − | 5.79615i | 0.758757 | − | 0.194397i | |||||
−2.24116 | − | 2.58643i | −0.0751238 | − | 0.0866975i | |||||
4.08746 | − | 1.86668i | 0.136935 | − | 0.0625362i | |||||
−12.1785 | − | 41.4762i | −0.407767 | − | 1.38873i | |||||
−5.61223 | − | 2.56302i | −0.187806 | − | 0.0857683i | |||||
−0.446093 | + | 3.10264i | −0.0149196 | + | 0.103768i | |||||
20.6146 | − | 13.2482i | 0.689070 | − | 0.442839i | |||||
2.24515 | + | 20.7057i | 0.0750053 | + | 0.691730i | |||||
−11.9719 | + | 9.21779i | −0.399731 | + | 0.307773i | |||||
2.86913 | 0.0957442 | |||||||||
−6.81468 | − | 10.6039i | −0.227282 | − | 0.353658i | |||||
1.04906 | − | 7.29638i | 0.0349687 | − | 0.243213i | |||||
−8.84048 | − | 4.03731i | −0.294519 | − | 0.134502i | |||||
−12.8795 | + | 3.78177i | −0.428841 | + | 0.125919i | |||||
3.20277 | − | 1.90424i | 0.106582 | − | 0.0633690i | |||||
−7.08192 | + | 6.13652i | −0.235541 | + | 0.204097i | |||||
1.55997 | + | 10.8498i | 0.0518551 | + | 0.360660i | |||||
−0.662100 | + | 2.25491i | −0.0219968 | + | 0.0749142i | |||||
−2.07024 | − | 1.79388i | −0.0687413 | − | 0.0595647i | 0.619812 | − | 0.784750i | ||
−0.688554 | + | 0.725185i | ||||||||
−17.2952 | − | 11.1149i | −0.573960 | − | 0.368862i | |||||
5.19503 | − | 8.08363i | 0.172308 | − | 0.268117i | |||||
−1.38985 | + | 2.00566i | −0.0460732 | + | 0.0664870i | |||||
14.4023 | − | 49.0498i | 0.477170 | − | 1.62509i | −0.271704 | − | 0.962381i | ||
0.748874 | − | 0.662712i | ||||||||
19.4614 | − | 2.79812i | 0.644430 | − | 0.0926551i | |||||
2.46251 | − | 2.13378i | 0.0814973 | − | 0.0706178i | |||||
−7.99772 | + | 3.65244i | −0.264541 | + | 0.120812i | |||||
−3.56439 | − | 12.1392i | −0.117835 | − | 0.401310i | |||||
2.80130 | − | 6.13400i | 0.0925576 | − | 0.202673i | |||||
1.82143 | − | 52.3339i | 0.0601491 | − | 1.72822i | |||||
0.768923 | + | 1.19647i | 0.0253782 | + | 0.0394893i | |||||
15.7075i | 0.518142i | 0.965858 | + | 0.259071i | ||||||
−0.965858 | + | 0.259071i | ||||||||
−5.13915 | + | 1.99653i | −0.169433 | + | 0.0658235i | |||||
16.6782 | 0.549566 | |||||||||
0.589131 | + | 0.916706i | 0.0194020 | + | 0.0301901i | |||||
31.7954 | + | 4.57149i | 1.04656 | + | 0.150472i | |||||
−21.7444 | − | 7.21527i | −0.715339 | − | 0.237365i | |||||
7.97855 | + | 27.1724i | 0.262333 | + | 0.893424i | |||||
3.17692 | + | 6.95649i | 0.104400 | + | 0.228605i | |||||
−6.52735 | − | 7.53297i | −0.214386 | − | 0.247415i | |||||
0.822245 | + | 5.71884i | 0.0269915 | + | 0.187730i | |||||
−11.2088 | + | 38.1736i | −0.367748 | + | 1.25244i | 0.543091 | + | 0.839674i | ||
−0.910839 | + | 0.412762i | ||||||||
1.29020 | − | 1.48898i | 0.0423075 | − | 0.0488254i | |||||
36.1697 | + | 13.4157i | 1.18541 | + | 0.439681i | |||||
20.1677 | + | 12.9610i | 0.660613 | + | 0.424551i | |||||
−10.7822 | + | 12.4433i | −0.352994 | + | 0.407376i | |||||
0.985137 | + | 0.289262i | 0.0322347 | + | 0.00946496i | |||||
25.3856 | − | 3.64990i | 0.830199 | − | 0.119365i | |||||
−2.52544 | + | 2.18830i | −0.0825465 | + | 0.0715269i | |||||
6.51140 | + | 14.2580i | 0.212718 | + | 0.465788i | 0.985672 | − | 0.168675i | ||
−0.772954 | + | 0.634463i | ||||||||
6.81292 | − | 2.82927i | 0.222450 | − | 0.0923789i | |||||
−30.8650 | − | 14.0956i | −1.00724 | − | 0.459992i | |||||
−2.31452 | − | 0.332778i | −0.0754913 | − | 0.0108540i | |||||
−5.11296 | + | 3.28590i | −0.166678 | + | 0.107117i | −0.621320 | − | 0.783557i | ||
0.454643 | + | 0.890674i | ||||||||
− | 4.82305i | − | 0.157144i | |||||||
51.6731 | − | 11.9762i | 1.68271 | − | 0.390000i | |||||
− | 45.4529i | − | 1.47937i | |||||||
−2.23123 | + | 1.80139i | −0.0725820 | + | 0.0585993i | |||||
−0.243250 | + | 1.69184i | −0.00790872 | + | 0.0550064i | |||||
20.4952 | − | 44.8782i | 0.666004 | − | 1.45835i | −0.210815 | − | 0.977526i | ||
0.876819 | − | 0.480820i | ||||||||
16.3190 | − | 4.79168i | 0.530015 | − | 0.155626i | |||||
18.1012 | + | 39.6362i | 0.587591 | + | 1.28664i | |||||
−3.72864 | − | 4.30308i | −0.120973 | − | 0.139610i | |||||
3.67424 | − | 0.528276i | 0.119145 | − | 0.0171305i | |||||
2.61049 | − | 14.5447i | 0.0846065 | − | 0.471397i | |||||
−22.2093 | − | 19.2445i | −0.719431 | − | 0.623391i | 0.216208 | − | 0.976347i | ||
−0.935640 | + | 0.352956i | ||||||||
−0.269501 | + | 0.419351i | −0.00872541 | + | 0.0135770i | |||||
11.2227 | − | 17.4629i | 0.363158 | − | 0.565085i | |||||
14.4186 | − | 16.6399i | 0.466330 | − | 0.538173i | |||||
−8.07498 | − | 2.37103i | −0.261027 | − | 0.0766444i | |||||
0.384108 | + | 2.67153i | 0.0124100 | + | 0.0863132i | |||||
−5.44297 | − | 5.05834i | −0.175763 | − | 0.163342i | |||||
6.21335 | − | 2.83754i | 0.200535 | − | 0.0915812i | |||||
13.7160 | − | 4.02737i | 0.442451 | − | 0.129915i | |||||
2.61700 | − | 5.73043i | 0.0843754 | − | 0.184756i | |||||
−5.56322 | − | 0.799870i | −0.179272 | − | 0.0257754i | |||||
−30.8078 | + | 19.7990i | −0.992252 | + | 0.637682i | |||||
4.81476 | 0.154993 | |||||||||
−3.18481 | − | 1.26556i | −0.102470 | − | 0.0407188i | |||||
4.46220 | 0.143495 | 0.0717473 | − | 0.997423i | ||||||
0.0717473 | + | 0.997423i | ||||||||
8.20169 | − | 5.27090i | 0.263612 | − | 0.169413i | |||||
−28.7250 | − | 4.13003i | −0.922779 | − | 0.132676i | |||||
0.975244 | − | 2.13549i | 0.0313132 | − | 0.0685663i | |||||
10.0015 | − | 2.93670i | 0.320963 | − | 0.0942431i | −0.117283 | − | 0.993099i | ||
0.438245 | + | 0.898855i | ||||||||
−1.75291 | + | 0.800526i | −0.0562245 | + | 0.0256769i | |||||
−22.3266 | − | 20.7489i | −0.715757 | − | 0.665178i | |||||
−0.755384 | − | 5.25381i | −0.0242041 | − | 0.168343i | |||||
−11.5633 | − | 3.39530i | −0.370323 | − | 0.108737i | |||||
−27.2710 | + | 31.4724i | −0.872922 | + | 1.00741i | |||||
−5.06030 | + | 7.87398i | −0.161893 | + | 0.251911i | −0.912718 | − | 0.408591i | ||
0.750824 | + | 0.660502i | ||||||||
−3.32077 | + | 5.16721i | −0.106186 | + | 0.165229i | |||||
−39.7013 | − | 34.4014i | −1.26886 | − | 1.09947i | |||||
14.5853 | + | 1.01649i | 0.465911 | + | 0.0324706i | |||||
−3.06892 | + | 0.441244i | −0.0979831 | + | 0.0140878i | |||||
6.08563 | + | 7.02319i | 0.194200 | + | 0.224119i | |||||
−8.62034 | − | 18.8759i | −0.274946 | − | 0.602048i | 0.720906 | − | 0.693033i | ||
−0.995852 | + | 0.0909847i | ||||||||
11.2559 | − | 3.30502i | 0.358824 | − | 0.105360i | |||||
−0.860887 | + | 1.88508i | −0.0274302 | + | 0.0600637i | |||||
0.379084 | − | 2.63659i | 0.0120725 | − | 0.0839661i | |||||
−1.86065 | − | 2.30463i | −0.0592252 | − | 0.0733573i | |||||
− | 33.4591i | − | 1.06448i | |||||||
1.34615 | − | 6.61864i | 0.0428051 | − | 0.210460i | |||||
− | 1.31544i | − | 0.0418075i | |||||||
−35.0553 | + | 22.5286i | −1.11357 | + | 0.715646i | −0.962068 | − | 0.272811i | ||
−0.151499 | + | 0.988457i | ||||||||
−20.5505 | − | 2.95471i | −0.652478 | − | 0.0938122i | |||||
−4.42465 | − | 2.02067i | −0.140412 | − | 0.0641241i | |||||
2.79429 | + | 6.72870i | 0.0886296 | + | 0.213421i | |||||
−4.08418 | − | 8.94310i | −0.129477 | − | 0.283515i | |||||
−1.05605 | + | 0.915072i | −0.0334622 | + | 0.0289952i | |||||
−59.5532 | + | 8.56246i | −1.88607 | + | 0.271176i | −0.986272 | − | 0.165131i | ||
−0.899798 | + | 0.436307i | ||||||||
3.55129 | + | 1.04275i | 0.112414 | + | 0.0330077i | |||||
4.84818 | − | 5.59509i | 0.153390 | − | 0.177021i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.r.a.34.20 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.34.19 | ✓ | 320 | |
23.21 | odd | 22 | inner | 483.2.r.a.412.19 | yes | 320 | |
161.90 | even | 22 | inner | 483.2.r.a.412.20 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.19 | ✓ | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.34.20 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.412.19 | yes | 320 | 23.21 | odd | 22 | inner | |
483.2.r.a.412.20 | yes | 320 | 161.90 | even | 22 | inner |