Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(277,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 483.i (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 |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 415.9 | ||
Root | of defining polynomial | ||
Character | 483.415 | ||
Dual form | 483.2.i.h.277.9 |
-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 .
1.03253 | − | 1.78839i | 0.730108 | − | 1.26458i | −0.226728 | − | 0.973958i | ||
0.956837 | − | 0.290627i | ||||||||
0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | |||||
−1.13223 | − | 1.96108i | −0.566116 | − | 0.980542i | |||||
0.304427 | − | 0.527282i | 0.136144 | − | 0.235808i | −0.789890 | − | 0.613248i | ||
0.926034 | + | 0.377441i | ||||||||
2.06506 | 0.843056 | |||||||||
2.05425 | + | 1.66735i | 0.776434 | + | 0.630199i | |||||
−0.546135 | −0.193088 | |||||||||
−0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | |||||
−0.628658 | − | 1.08887i | −0.198799 | − | 0.344330i | |||||
0.551216 | + | 0.954735i | 0.166198 | + | 0.287863i | 0.937080 | − | 0.349115i | ||
−0.770882 | + | 0.636978i | ||||||||
1.13223 | − | 1.96108i | 0.326847 | − | 0.566116i | |||||
1.84712 | 0.512299 | 0.256149 | − | 0.966637i | ||||||
0.256149 | + | 0.966637i | ||||||||
5.10295 | − | 1.95222i | 1.36382 | − | 0.521753i | |||||
0.608853 | 0.157205 | |||||||||
1.70056 | − | 2.94546i | 0.425141 | − | 0.736366i | |||||
−2.94288 | − | 5.09722i | −0.713753 | − | 1.23626i | −0.963438 | − | 0.267930i | ||
0.249685 | − | 0.968327i | ||||||||
1.03253 | + | 1.78839i | 0.243369 | + | 0.421528i | |||||
−0.544070 | + | 0.942358i | −0.124818 | + | 0.216192i | −0.921662 | − | 0.387994i | ||
0.796844 | + | 0.604186i | ||||||||
−1.37873 | −0.308293 | |||||||||
−0.416841 | + | 2.61271i | −0.0909623 | + | 0.570140i | |||||
2.27659 | 0.485370 | |||||||||
−0.500000 | + | 0.866025i | −0.104257 | + | 0.180579i | |||||
−0.273068 | − | 0.472967i | −0.0557397 | − | 0.0965440i | |||||
2.31465 | + | 4.00909i | 0.462930 | + | 0.801818i | |||||
1.90720 | − | 3.30337i | 0.374034 | − | 0.647845i | |||||
−1.00000 | −0.192450 | |||||||||
0.943923 | − | 5.91639i | 0.178385 | − | 1.11809i | |||||
−0.804169 | −0.149330 | −0.0746652 | − | 0.997209i | ||||||
−0.0746652 | + | 0.997209i | ||||||||
0.628658 | − | 1.08887i | 0.114777 | − | 0.198799i | |||||
−4.38680 | − | 7.59816i | −0.787893 | − | 1.36467i | −0.927256 | − | 0.374429i | ||
0.139363 | − | 0.990241i | ||||||||
−4.05790 | − | 7.02849i | −0.717342 | − | 1.24247i | |||||
−0.551216 | + | 0.954735i | −0.0959545 | + | 0.166198i | |||||
−12.1544 | −2.08447 | |||||||||
1.50453 | − | 0.575585i | 0.254312 | − | 0.0972915i | |||||
2.26446 | 0.377411 | |||||||||
−4.55764 | + | 7.89406i | −0.749271 | + | 1.29778i | 0.198901 | + | 0.980020i | ||
−0.948172 | + | 0.317756i | ||||||||
1.12354 | + | 1.94602i | 0.182262 | + | 0.315687i | |||||
0.923560 | + | 1.59965i | 0.147888 | + | 0.256149i | |||||
−0.166258 | + | 0.287967i | −0.0262877 | + | 0.0455317i | |||||
−9.79559 | −1.52981 | −0.764907 | − | 0.644140i | ||||||
−0.764907 | + | 0.644140i | ||||||||
4.24215 | + | 3.44317i | 0.654578 | + | 0.531293i | |||||
5.23469 | 0.798283 | 0.399142 | − | 0.916889i | ||||||
0.399142 | + | 0.916889i | ||||||||
1.24821 | − | 2.16196i | 0.188175 | − | 0.325928i | |||||
0.304427 | + | 0.527282i | 0.0453812 | + | 0.0786026i | |||||
1.03253 | + | 1.78839i | 0.152238 | + | 0.263684i | |||||
2.95439 | − | 5.11716i | 0.430942 | − | 0.746414i | −0.566012 | − | 0.824397i | ||
0.996955 | + | 0.0779827i | ||||||||
3.40113 | 0.490911 | |||||||||
1.43989 | + | 6.85031i | 0.205699 | + | 0.978615i | |||||
9.55977 | 1.35196 | |||||||||
2.94288 | − | 5.09722i | 0.412086 | − | 0.713753i | |||||
−2.09137 | − | 3.62236i | −0.290021 | − | 0.502330i | |||||
−2.25507 | − | 3.90589i | −0.309757 | − | 0.536515i | 0.668552 | − | 0.743666i | ||
−0.978309 | + | 0.207150i | ||||||||
−1.03253 | + | 1.78839i | −0.140509 | + | 0.243369i | |||||
0.671220 | 0.0905072 | |||||||||
−1.12190 | − | 0.910598i | −0.149920 | − | 0.121684i | |||||
−1.08814 | −0.144128 | |||||||||
−0.830328 | + | 1.43817i | −0.109027 | + | 0.188841i | |||||
3.70032 | + | 6.40914i | 0.481741 | + | 0.834399i | 0.999780 | − | 0.0209574i | ||
−0.518040 | + | 0.855357i | ||||||||
−0.689363 | − | 1.19401i | −0.0889964 | − | 0.154146i | |||||
−2.51384 | + | 4.35410i | −0.321864 | + | 0.557486i | −0.980873 | − | 0.194650i | ||
0.659008 | + | 0.752136i | ||||||||
−18.1180 | −2.30099 | |||||||||
−2.47109 | + | 0.945359i | −0.311328 | + | 0.119104i | |||||
−9.95734 | −1.24467 | |||||||||
0.562312 | − | 0.973953i | 0.0697462 | − | 0.120804i | |||||
1.13829 | + | 1.97158i | 0.140114 | + | 0.242685i | |||||
−1.03153 | − | 1.78666i | −0.126021 | − | 0.218275i | 0.796111 | − | 0.605151i | ||
−0.922132 | + | 0.386876i | ||||||||
−6.66405 | + | 11.5425i | −0.808134 | + | 1.39973i | |||||
−1.00000 | −0.120386 | |||||||||
0.524102 | − | 3.28500i | 0.0626422 | − | 0.392633i | |||||
4.30092 | 0.510425 | 0.255213 | − | 0.966885i | ||||||
0.255213 | + | 0.966885i | ||||||||
0.273068 | − | 0.472967i | 0.0321813 | − | 0.0557397i | |||||
0.578067 | + | 1.00124i | 0.0676577 | + | 0.117187i | 0.897870 | − | 0.440261i | ||
−0.830212 | + | 0.557448i | ||||||||
9.41179 | + | 16.3017i | 1.09410 | + | 1.89503i | |||||
−2.31465 | + | 4.00909i | −0.267273 | + | 0.462930i | |||||
2.46406 | 0.282647 | |||||||||
−0.459540 | + | 2.88034i | −0.0523694 | + | 0.328245i | |||||
3.81441 | 0.431897 | |||||||||
−7.58579 | + | 13.1390i | −0.853469 | + | 1.47825i | 0.0245899 | + | 0.999698i | ||
−0.878058 | + | 0.478553i | ||||||||
−1.03539 | − | 1.79335i | −0.115761 | − | 0.200503i | |||||
−0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | |||||
−10.1142 | + | 17.5184i | −1.11693 | + | 1.93458i | |||||
−10.7196 | −1.17663 | −0.588315 | − | 0.808632i | ||||||
−0.588315 | + | 0.808632i | ||||||||
5.59570 | − | 2.14073i | 0.610541 | − | 0.233573i | |||||
−3.58356 | −0.388692 | |||||||||
5.40497 | − | 9.36169i | 0.582833 | − | 1.00950i | |||||
−0.402085 | − | 0.696431i | −0.0431080 | − | 0.0746652i | |||||
−0.301039 | − | 0.521414i | −0.0320908 | − | 0.0555830i | |||||
3.96083 | − | 6.86036i | 0.419847 | − | 0.727197i | −0.576076 | − | 0.817396i | ||
0.995924 | + | 0.0901988i | ||||||||
1.25732 | 0.132533 | |||||||||
3.79445 | + | 3.07979i | 0.397766 | + | 0.322850i | |||||
2.26446 | 0.236087 | |||||||||
4.38680 | − | 7.59816i | 0.454890 | − | 0.787893i | |||||
−6.10099 | − | 10.5672i | −0.629269 | − | 1.08993i | |||||
0.331259 | + | 0.573757i | 0.0339864 | + | 0.0588663i | |||||
4.05790 | − | 7.02849i | 0.414158 | − | 0.717342i | |||||
−17.0648 | −1.73267 | −0.866336 | − | 0.499461i | ||||||
−0.866336 | + | 0.499461i | ||||||||
13.7378 | + | 4.49805i | 1.38772 | + | 0.454371i | |||||
−1.10243 | −0.110799 | |||||||||
5.24144 | − | 9.07844i | 0.524144 | − | 0.907844i | |||||
4.28278 | + | 7.41800i | 0.426153 | + | 0.738118i | 0.996527 | − | 0.0832664i | ||
−0.570374 | + | 0.821385i | ||||||||
−6.07722 | − | 10.5260i | −0.601734 | − | 1.04223i | |||||
−5.21864 | + | 9.03895i | −0.514208 | + | 0.890634i | 0.485656 | + | 0.874150i | ||
−0.999864 | + | 0.0164842i | ||||||||
−1.00878 | −0.0989187 | |||||||||
1.25074 | + | 1.01517i | 0.122059 | + | 0.0990705i | |||||
−9.31369 | −0.904625 | |||||||||
4.03634 | − | 6.99115i | 0.390208 | − | 0.675860i | −0.602269 | − | 0.798293i | ||
0.992477 | + | 0.122434i | ||||||||
1.13223 | + | 1.96108i | 0.108949 | + | 0.188705i | |||||
−1.90581 | − | 3.30097i | −0.182544 | − | 0.316175i | 0.760202 | − | 0.649686i | ||
−0.942746 | + | 0.333511i | ||||||||
0.693054 | − | 1.20040i | 0.0660801 | − | 0.114454i | |||||
−9.11528 | −0.865184 | |||||||||
8.40450 | − | 3.21529i | 0.794151 | − | 0.303816i | |||||
8.89428 | 0.836703 | 0.418352 | − | 0.908285i | ||||||
0.418352 | + | 0.908285i | ||||||||
−1.12354 | + | 1.94602i | −0.105229 | + | 0.182262i | |||||
0.304427 | + | 0.527282i | 0.0283879 | + | 0.0491693i | |||||
0.910506 | + | 1.57704i | 0.0845384 | + | 0.146425i | |||||
−0.923560 | + | 1.59965i | −0.0853831 | + | 0.147888i | |||||
15.2827 | 1.40689 | |||||||||
2.45343 | − | 15.3778i | 0.224905 | − | 1.40968i | |||||
−0.332516 | −0.0303544 | |||||||||
4.89232 | − | 8.47375i | 0.444756 | − | 0.770341i | |||||
5.19123 | + | 8.99147i | 0.469992 | + | 0.814050i | |||||
−4.89780 | − | 8.48323i | −0.441619 | − | 0.764907i | |||||
−9.93376 | + | 17.2058i | −0.892078 | + | 1.54512i | |||||
5.86283 | 0.524387 | |||||||||
−0.860802 | + | 5.39539i | −0.0766863 | + | 0.480660i | |||||
7.91043 | 0.701937 | 0.350969 | − | 0.936387i | ||||||
0.350969 | + | 0.936387i | ||||||||
−2.16544 | + | 3.75066i | −0.191400 | + | 0.331514i | |||||
2.61735 | + | 4.53338i | 0.230445 | + | 0.399142i | |||||
−1.16121 | − | 2.01127i | −0.101845 | − | 0.176400i | |||||
−0.237853 | + | 0.411974i | −0.0207813 | + | 0.0359943i | −0.876229 | − | 0.481895i | ||
0.855448 | + | 0.517889i | ||||||||
2.49642 | 0.217286 | |||||||||
−2.68890 | + | 1.02868i | −0.233157 | + | 0.0891982i | |||||
−4.26033 | −0.368036 | |||||||||
−0.304427 | + | 0.527282i | −0.0262009 | + | 0.0453812i | |||||
1.60721 | + | 2.78377i | 0.137817 | + | 0.238706i | |||||
4.13651 | + | 7.16465i | 0.353406 | + | 0.612117i | 0.986844 | − | 0.161677i | ||
−0.633438 | + | 0.773794i | ||||||||
−1.03253 | + | 1.78839i | −0.0878947 | + | 0.152238i | |||||
−2.48191 | −0.210513 | −0.105257 | − | 0.994445i | ||||||
−0.105257 | + | 0.994445i | ||||||||
−2.83225 | − | 2.29882i | −0.239369 | − | 0.194286i | |||||
5.90878 | 0.497609 | |||||||||
4.44082 | − | 7.69173i | 0.372666 | − | 0.645476i | |||||
1.01816 | + | 1.76351i | 0.0851430 | + | 0.147472i | |||||
1.70056 | + | 2.94546i | 0.141714 | + | 0.245455i | |||||
−0.244810 | + | 0.424024i | −0.0203304 | + | 0.0352133i | |||||
2.38749 | 0.197590 | |||||||||
−5.21259 | + | 4.67214i | −0.429928 | + | 0.385351i | |||||
20.6412 | 1.69670 | |||||||||
−10.2978 | + | 17.8364i | −0.843631 | + | 1.46121i | 0.0431743 | + | 0.999068i | ||
−0.886805 | + | 0.462144i | ||||||||
4.77988 | + | 8.27900i | 0.390276 | + | 0.675978i | |||||
−6.39740 | − | 11.0806i | −0.520613 | − | 0.901728i | −0.999713 | − | 0.0239678i | ||
0.479100 | − | 0.877761i | ||||||||
0.297136 | − | 0.514655i | 0.0241009 | − | 0.0417440i | |||||
5.88576 | 0.475835 | |||||||||
4.67668 | + | 3.79587i | 0.376858 | + | 0.305880i | |||||
−5.34183 | −0.429066 | |||||||||
2.09137 | − | 3.62236i | 0.167443 | − | 0.290021i | |||||
2.28502 | + | 3.95778i | 0.182365 | + | 0.315865i | 0.942685 | − | 0.333683i | ||
−0.760321 | + | 0.649548i | ||||||||
15.6651 | + | 27.1328i | 1.24625 | + | 2.15857i | |||||
2.25507 | − | 3.90589i | 0.178838 | − | 0.309757i | |||||
−4.94133 | −0.390646 | |||||||||
−2.47109 | + | 0.945359i | −0.194749 | + | 0.0745047i | |||||
−2.06506 | −0.162246 | |||||||||
10.8772 | − | 18.8398i | 0.851967 | − | 1.47565i | −0.0274642 | − | 0.999623i | ||
0.879431 | − | 0.476027i | ||||||||
11.0909 | + | 19.2100i | 0.866053 | + | 1.50005i | |||||
0.335610 | + | 0.581293i | 0.0261272 | + | 0.0452536i | |||||
−11.0683 | + | 19.1709i | −0.859068 | + | 1.48795i | |||||
−3.92341 | −0.303602 | −0.151801 | − | 0.988411i | ||||||
−0.151801 | + | 0.988411i | ||||||||
0.227652 | − | 1.42689i | 0.0175637 | − | 0.110087i | |||||
−9.58815 | −0.737550 | |||||||||
−3.70013 | + | 6.40882i | −0.283787 | + | 0.491534i | |||||
−0.544070 | − | 0.942358i | −0.0416061 | − | 0.0720639i | |||||
−5.92689 | − | 10.2657i | −0.451921 | − | 0.782750i | |||||
12.0085 | − | 20.7994i | 0.912993 | − | 1.58135i | 0.103179 | − | 0.994663i | ||
0.809814 | − | 0.586687i | ||||||||
−1.66066 | −0.125894 | |||||||||
−1.92968 | + | 12.0950i | −0.145870 | + | 0.914296i | |||||
3.74952 | 0.282630 | |||||||||
−3.70032 | + | 6.40914i | −0.278133 | + | 0.481741i | |||||
−8.17935 | − | 14.1670i | −0.613068 | − | 1.06187i | |||||
−10.0845 | − | 17.4669i | −0.753752 | − | 1.30554i | −0.945993 | − | 0.324188i | ||
0.192241 | − | 0.981348i | ||||||||
0.689363 | − | 1.19401i | 0.0513821 | − | 0.0889964i | |||||
16.7087 | 1.24195 | 0.620973 | − | 0.783832i | ||||||
0.620973 | + | 0.783832i | ||||||||
9.42576 | − | 3.60598i | 0.698684 | − | 0.267293i | |||||
−5.02768 | −0.371657 | |||||||||
0.273068 | − | 0.472967i | 0.0201308 | − | 0.0348676i | |||||
2.77493 | + | 4.80632i | 0.204017 | + | 0.353368i | |||||
−9.05900 | − | 15.6906i | −0.664238 | − | 1.15049i | |||||
3.24433 | − | 5.61934i | 0.237249 | − | 0.410927i | |||||
−13.3802 | −0.975854 | |||||||||
−2.05425 | − | 1.66735i | −0.149425 | − | 0.121282i | |||||
1.36814 | 0.0992551 | |||||||||
−1.75479 | + | 3.03938i | −0.126972 | + | 0.219922i | −0.922502 | − | 0.385992i | ||
0.795530 | + | 0.605914i | ||||||||
−4.97867 | − | 8.62331i | −0.359305 | − | 0.622334i | |||||
6.82110 | + | 11.8145i | 0.490993 | + | 0.850426i | 0.999946 | − | 0.0103688i | ||
−0.508953 | + | 0.860794i | ||||||||
−17.6199 | + | 30.5186i | −1.26504 | + | 2.19111i | |||||
1.12462 | 0.0805360 | |||||||||
11.8037 | − | 10.5799i | 0.843124 | − | 0.755706i | |||||
−13.4651 | −0.959349 | −0.479675 | − | 0.877447i | ||||||
−0.479675 | + | 0.877447i | ||||||||
−1.13829 | + | 1.97158i | −0.0808950 | + | 0.140114i | |||||
−7.14872 | − | 12.3820i | −0.506760 | − | 0.877733i | −0.999969 | − | 0.00782287i | ||
0.493210 | − | 0.869910i | ||||||||
−1.26411 | − | 2.18951i | −0.0893862 | − | 0.154821i | |||||
1.03153 | − | 1.78666i | 0.0727583 | − | 0.126021i | |||||
17.6884 | 1.24455 | |||||||||
−1.65196 | − | 1.34083i | −0.115945 | − | 0.0941079i | |||||
−13.3281 | −0.933153 | |||||||||
−2.98204 | + | 5.16504i | −0.208275 | + | 0.360742i | |||||
10.7768 | + | 18.6660i | 0.750855 | + | 1.30052i | |||||
−0.500000 | − | 0.866025i | −0.0347524 | − | 0.0601929i | |||||
3.14115 | − | 5.44062i | 0.217799 | − | 0.377239i | |||||
−1.19960 | −0.0829782 | |||||||||
3.10695 | − | 1.18862i | 0.214400 | − | 0.0820223i | |||||
2.83108 | 0.194900 | 0.0974499 | − | 0.995240i | ||||||
0.0974499 | + | 0.995240i | ||||||||
−5.10652 | + | 8.84475i | −0.350717 | + | 0.607460i | |||||
2.15046 | + | 3.72471i | 0.147347 | + | 0.255213i | |||||
−8.33528 | − | 14.4371i | −0.569788 | − | 0.986901i | |||||
1.59358 | − | 2.76016i | 0.108681 | − | 0.188241i | |||||
0.546135 | 0.0371598 | |||||||||
3.65720 | − | 22.9229i | 0.248267 | − | 1.55611i | |||||
−7.87123 | −0.533107 | |||||||||
−0.578067 | + | 1.00124i | −0.0390622 | + | 0.0676577i | |||||
−0.759977 | − | 1.31632i | −0.0512376 | − | 0.0887461i | |||||
−5.43585 | − | 9.41517i | −0.365655 | − | 0.633333i | |||||
−9.41179 | + | 16.3017i | −0.631678 | + | 1.09410i | |||||
4.78780 | 0.320615 | 0.160307 | − | 0.987067i | ||||||
0.160307 | + | 0.987067i | ||||||||
3.38300 | − | 21.2042i | 0.226036 | − | 1.41677i | |||||
−4.62930 | −0.308620 | |||||||||
9.18360 | − | 15.9065i | 0.610884 | − | 1.05808i | |||||
−9.64756 | − | 16.7101i | −0.640331 | − | 1.10909i | −0.985359 | − | 0.170493i | ||
0.345028 | − | 0.938592i | ||||||||
1.23203 | + | 2.13394i | 0.0815931 | + | 0.141323i | |||||
−4.06477 | + | 7.04038i | −0.268607 | + | 0.465242i | −0.968502 | − | 0.249004i | ||
0.699895 | + | 0.714246i | ||||||||
1.25732 | 0.0829050 | |||||||||
−2.72421 | + | 1.04219i | −0.179240 | + | 0.0685714i | |||||
0.439185 | 0.0288339 | |||||||||
−3.97470 | + | 6.88438i | −0.260391 | + | 0.451011i | −0.966346 | − | 0.257246i | ||
0.705955 | + | 0.708257i | ||||||||
1.90720 | + | 3.30337i | 0.124678 | + | 0.215948i | |||||
−1.79879 | − | 3.11560i | −0.117340 | − | 0.203239i | |||||
8.37924 | − | 14.5133i | 0.545442 | − | 0.944734i | |||||
−15.1716 | −0.985501 | |||||||||
−24.9683 | − | 20.2657i | −1.61845 | − | 1.31363i | |||||
15.7789 | 1.02065 | 0.510326 | − | 0.859981i | ||||||
0.510326 | + | 0.859981i | ||||||||
1.03539 | − | 1.79335i | 0.0668344 | − | 0.115761i | |||||
5.63279 | + | 9.75628i | 0.362840 | + | 0.628457i | 0.988427 | − | 0.151697i | ||
−0.625587 | + | 0.780154i | ||||||||
−10.1029 | − | 17.4988i | −0.649441 | − | 1.12486i | |||||
0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | |||||
11.3850 | 0.728851 | |||||||||
4.05039 | + | 1.32619i | 0.258770 | + | 0.0847269i | |||||
−20.2285 | −1.28972 | |||||||||
−1.00496 | + | 1.74065i | −0.0639443 | + | 0.110755i | |||||
2.39579 | + | 4.14963i | 0.152133 | + | 0.263501i | |||||
−5.35981 | − | 9.28346i | −0.339664 | − | 0.588315i | |||||
6.05354 | − | 10.4850i | 0.382859 | − | 0.663132i | |||||
−2.27255 | −0.143442 | −0.0717209 | − | 0.997425i | ||||||
−0.0717209 | + | 0.997425i | ||||||||
4.65178 | + | 3.77565i | 0.293035 | + | 0.237844i | |||||
−1.10243 | −0.0693094 | |||||||||
8.16775 | − | 14.1470i | 0.512490 | − | 0.887659i | |||||
−1.79178 | − | 3.10346i | −0.112206 | − | 0.194346i | |||||
−5.48557 | − | 9.50129i | −0.342848 | − | 0.593831i | |||||
0.435642 | − | 0.754555i | 0.0271746 | − | 0.0470678i | −0.852118 | − | 0.523349i | ||
0.879293 | + | 0.476281i | ||||||||
10.8099 | 0.672998 | |||||||||
−22.5247 | + | 8.61721i | −1.39962 | + | 0.535447i | |||||
−2.54667 | −0.157938 | |||||||||
0.402085 | − | 0.696431i | 0.0248884 | − | 0.0431080i | |||||
0.491181 | + | 0.850750i | 0.0303452 | + | 0.0525595i | |||||
2.66738 | + | 4.62004i | 0.164478 | + | 0.284884i | 0.936470 | − | 0.350748i | ||
−0.771992 | + | 0.635632i | ||||||||
0.301039 | − | 0.521414i | 0.0185277 | − | 0.0320908i | |||||
−2.74601 | −0.168686 | |||||||||
−0.936674 | + | 5.87095i | −0.0574311 | + | 0.359971i | |||||
7.92167 | 0.484798 | |||||||||
−2.33586 | + | 4.04582i | −0.142685 | + | 0.247138i | |||||
−11.3694 | − | 19.6923i | −0.693203 | − | 1.20066i | −0.970783 | − | 0.239960i | ||
0.277580 | − | 0.960703i | ||||||||
0.628658 | + | 1.08887i | 0.0382589 | + | 0.0662664i | |||||
3.21075 | − | 5.56119i | 0.195039 | − | 0.337818i | −0.751874 | − | 0.659307i | ||
0.946913 | + | 0.321489i | ||||||||
−20.0182 | −1.21378 | |||||||||
−0.769956 | + | 4.82598i | −0.0465999 | + | 0.292082i | |||||
17.0843 | 1.03210 | |||||||||
−2.55175 | + | 4.41975i | −0.153876 | + | 0.266521i | |||||
1.13223 | + | 1.96108i | 0.0681524 | + | 0.118043i | |||||
−7.01764 | − | 12.1549i | −0.421649 | − | 0.730317i | 0.574452 | − | 0.818538i | ||
−0.996101 | + | 0.0882210i | ||||||||
−2.56265 | + | 4.43864i | −0.153697 | + | 0.266212i | |||||
8.77360 | 0.525262 | |||||||||
−0.821678 | + | 0.314347i | −0.0491047 | + | 0.0187858i | |||||
24.5278 | 1.46321 | 0.731603 | − | 0.681731i | ||||||
0.731603 | + | 0.681731i | ||||||||
6.10099 | − | 10.5672i | 0.363309 | − | 0.629269i | |||||
2.19970 | + | 3.81000i | 0.130759 | + | 0.226481i | 0.923969 | − | 0.382467i | ||
−0.793210 | + | 0.608948i | ||||||||
−4.86964 | − | 8.43446i | −0.288960 | − | 0.500493i | |||||
−0.331259 | + | 0.573757i | −0.0196221 | + | 0.0339864i | |||||
4.20513 | 0.248655 | |||||||||
−20.1226 | − | 16.3327i | −1.18780 | − | 0.964087i | |||||
8.11580 | 0.478228 | |||||||||
−8.82108 | + | 15.2786i | −0.518887 | + | 0.898739i | |||||
0.505548 | + | 0.875634i | 0.0296868 | + | 0.0514190i | |||||
−8.53242 | − | 14.7786i | −0.500179 | − | 0.866336i | |||||
1.30901 | − | 2.26728i | 0.0766042 | − | 0.132682i | |||||
13.3413 | 0.779407 | 0.389704 | − | 0.920940i | ||||||
0.389704 | + | 0.920940i | ||||||||
2.97346 | + | 14.1463i | 0.173416 | + | 0.825028i | |||||
4.50590 | 0.262344 | |||||||||
2.48909 | − | 4.31123i | 0.144675 | − | 0.250585i | |||||
−0.551216 | − | 0.954735i | −0.0319848 | − | 0.0553993i | |||||
21.2656 | + | 36.8331i | 1.23188 | + | 2.13369i | |||||
−0.923560 | + | 1.59965i | −0.0534108 | + | 0.0925103i | |||||
10.4829 | 0.605230 | |||||||||
10.7534 | + | 8.72806i | 0.619814 | + | 0.503077i | |||||
−26.4220 | −1.52042 | |||||||||
−4.28278 | + | 7.41800i | −0.246039 | + | 0.426153i | |||||
1.85045 | + | 3.20508i | 0.106131 | + | 0.183824i | |||||
1.53056 | + | 2.65101i | 0.0876396 | + | 0.151796i | |||||
6.07722 | − | 10.5260i | 0.347411 | − | 0.601734i | |||||
24.5499 | 1.40114 | 0.700569 | − | 0.713585i | ||||||
0.700569 | + | 0.713585i | ||||||||
6.16889 | − | 2.36001i | 0.351505 | − | 0.134474i | |||||
−10.4373 | −0.593756 | |||||||||
−5.51560 | + | 9.55330i | −0.313265 | + | 0.542591i | |||||
−13.0387 | − | 22.5836i | −0.739355 | − | 1.28060i | −0.952786 | − | 0.303643i | ||
0.213431 | − | 0.976958i | ||||||||
−0.504389 | − | 0.873627i | −0.0285554 | − | 0.0494594i | |||||
−12.0987 | + | 20.9555i | −0.683857 | + | 1.18448i | 0.289937 | + | 0.957046i | ||
−0.973794 | + | 0.227430i | ||||||||
9.43741 | 0.532584 | |||||||||
−0.253795 | + | 1.59076i | −0.0142997 | + | 0.0896289i | |||||
34.3555 | 1.93265 | |||||||||
−1.80488 | + | 3.12614i | −0.101372 | + | 0.175582i | −0.912250 | − | 0.409633i | ||
0.810878 | + | 0.585215i | ||||||||
−4.65684 | − | 8.06589i | −0.261143 | − | 0.452313i | |||||
−0.443271 | − | 0.767768i | −0.0248184 | − | 0.0429868i | |||||
−3.03128 | + | 5.25033i | −0.169454 | + | 0.293502i | |||||
8.07268 | 0.450573 | |||||||||
−0.860802 | + | 5.39539i | −0.0479706 | + | 0.300674i | |||||
6.40453 | 0.356358 | |||||||||
−1.13223 | + | 1.96108i | −0.0629018 | + | 0.108949i | |||||
4.27543 | + | 7.40527i | 0.237158 | + | 0.410770i | |||||
−22.4620 | − | 38.9053i | −1.24406 | − | 2.15477i | |||||
1.90581 | − | 3.30097i | 0.105392 | − | 0.182544i | |||||
5.34972 | 0.295389 | |||||||||
14.6012 | − | 5.58592i | 0.804987 | − | 0.307962i | |||||
1.38611 | 0.0763027 | |||||||||
−4.11702 | + | 7.13089i | −0.226292 | + | 0.391949i | −0.956706 | − | 0.291055i | ||
0.730414 | + | 0.683004i | ||||||||
12.1371 | + | 21.0221i | 0.666110 | + | 1.15374i | |||||
−4.55764 | − | 7.89406i | −0.249757 | − | 0.432592i | |||||
−4.05103 | + | 7.01659i | −0.221663 | + | 0.383931i | |||||
−1.25610 | −0.0686279 | |||||||||
6.98677 | + | 5.67087i | 0.381160 | + | 0.309371i | |||||
26.1865 | 1.42647 | 0.713235 | − | 0.700925i | ||||||
0.713235 | + | 0.700925i | ||||||||
−9.90004 | + | 17.1474i | −0.538491 | + | 0.932694i | |||||
4.44714 | + | 7.70267i | 0.241535 | + | 0.418352i | |||||
4.05743 | + | 7.02767i | 0.220045 | + | 0.381129i | |||||
4.83615 | − | 8.37646i | 0.261892 | − | 0.453611i | |||||
−2.24707 | −0.121508 | |||||||||
−8.46396 | + | 16.4731i | −0.457011 | + | 0.889461i | |||||
−2.85885 | −0.154139 | |||||||||
−0.304427 | + | 0.527282i | −0.0163898 | + | 0.0283879i | |||||
−24.7983 | − | 42.9520i | −1.33317 | − | 2.30911i | |||||
2.96367 | + | 5.13323i | 0.159098 | + | 0.275566i | 0.934544 | − | 0.355848i | ||
−0.775445 | + | 0.631415i | ||||||||
−0.910506 | + | 1.57704i | −0.0488083 | + | 0.0845384i | |||||
29.6319 | 1.58616 | 0.793080 | − | 0.609118i | ||||||
0.793080 | + | 0.609118i | ||||||||
19.6382 | + | 15.9395i | 1.04970 | + | 0.852001i | |||||
−1.84712 | −0.0985919 | |||||||||
4.47356 | − | 7.74844i | 0.238442 | − | 0.412993i | |||||
7.11938 | + | 12.3311i | 0.378926 | + | 0.656320i | 0.990906 | − | 0.134554i | ||
−0.611980 | + | 0.790873i | ||||||||
7.64137 | + | 13.2352i | 0.406134 | + | 0.703446i | |||||
1.30931 | − | 2.26780i | 0.0694912 | − | 0.120362i | |||||
−17.9383 | −0.950730 | |||||||||
14.5443 | − | 5.56415i | 0.769764 | − | 0.294486i | |||||
−41.6502 | −2.20128 | |||||||||
−1.39115 | + | 2.40954i | −0.0734220 | + | 0.127171i | −0.900399 | − | 0.435065i | ||
0.826977 | + | 0.562236i | ||||||||
−0.166258 | − | 0.287967i | −0.00876257 | − | 0.0151772i | |||||
8.90797 | + | 15.4291i | 0.468841 | + | 0.812056i | |||||
17.2522 | − | 29.8817i | 0.906755 | − | 1.57055i | |||||
9.78464 | 0.513561 | |||||||||
1.74354 | − | 10.9283i | 0.0913862 | − | 0.572797i | |||||
0.703916 | 0.0368447 | |||||||||
−5.19123 | + | 8.99147i | −0.271350 | + | 0.469992i | |||||
3.33224 | + | 5.77160i | 0.173941 | + | 0.301275i | 0.939794 | − | 0.341740i | ||
−0.765853 | + | 0.643016i | ||||||||
1.70056 | + | 2.94546i | 0.0886480 | + | 0.153543i | |||||
4.89780 | − | 8.48323i | 0.254969 | − | 0.441619i | |||||
11.4608 | 0.595818 | |||||||||
1.88001 | − | 11.7837i | 0.0976053 | − | 0.611777i | |||||
−19.8675 | −1.03008 | |||||||||
9.54119 | − | 16.5258i | 0.494024 | − | 0.855675i | −0.505952 | − | 0.862562i | ||
0.999976 | + | 0.00688662i | ||||||||
−6.69972 | − | 11.6043i | −0.346434 | − | 0.600042i | |||||
2.93141 | + | 5.07736i | 0.151378 | + | 0.262194i | |||||
−1.61350 | + | 2.79466i | −0.0832098 | + | 0.144124i | |||||
−1.48540 | −0.0765018 | |||||||||
−5.10295 | + | 1.95222i | −0.262467 | + | 0.100411i | |||||
13.2631 | 0.681282 | 0.340641 | − | 0.940193i | ||||||
0.340641 | + | 0.940193i | ||||||||
0.750124 | − | 1.29925i | 0.0384806 | − | 0.0666503i | |||||
3.95521 | + | 6.85063i | 0.202632 | + | 0.350969i | |||||
3.62374 | + | 6.27650i | 0.185407 | + | 0.321134i | |||||
1.55801 | − | 2.69855i | 0.0796105 | − | 0.137889i | −0.823471 | − | 0.567358i | ||
0.903082 | + | 0.429468i | ||||||||
−4.33089 | −0.221010 | |||||||||
1.37885 | + | 1.11916i | 0.0702729 | + | 0.0570376i | |||||
28.1719 | 1.43391 | |||||||||
−2.61735 | + | 4.53338i | −0.133047 | + | 0.230445i | |||||
19.3214 | + | 33.4656i | 0.980894 | + | 1.69896i | |||||
4.99205 | + | 8.64648i | 0.253107 | + | 0.438394i | 0.964380 | − | 0.264522i | ||
−0.711273 | + | 0.702916i | ||||||||
1.16121 | − | 2.01127i | 0.0588000 | − | 0.101845i | |||||
5.88576 | 0.297656 | |||||||||
−0.786376 | − | 3.74120i | −0.0397180 | − | 0.188959i | |||||
−0.475706 | −0.0239962 | |||||||||
−13.9031 | + | 24.0809i | −0.700429 | + | 1.21318i | |||||
4.61863 | + | 7.99971i | 0.232389 | + | 0.402509i | |||||
1.24821 | + | 2.16196i | 0.0627249 | + | 0.108643i | |||||
−2.82222 | + | 4.88823i | −0.141643 | + | 0.245333i | −0.928116 | − | 0.372292i | ||
0.786472 | + | 0.617626i | ||||||||
−29.5251 | −1.47996 | |||||||||
−2.23531 | − | 1.81431i | −0.111906 | − | 0.0908291i | |||||
15.7448 | 0.787242 | |||||||||
−19.2811 | + | 33.3959i | −0.962853 | + | 1.66771i | −0.247576 | + | 0.968869i | ||
−0.715277 | + | 0.698841i | ||||||||
−2.13016 | − | 3.68955i | −0.106243 | − | 0.184018i | |||||
−8.10294 | − | 14.0347i | −0.403636 | − | 0.699119i | |||||
9.69821 | − | 16.7978i | 0.482504 | − | 0.835722i | |||||
−0.608853 | −0.0302542 | |||||||||
−4.10363 | + | 1.56992i | −0.203660 | + | 0.0779136i | |||||
−10.0490 | −0.498110 | |||||||||
−1.60721 | + | 2.78377i | −0.0795688 | + | 0.137817i | |||||
18.4036 | + | 31.8759i | 0.909997 | + | 1.57616i | 0.814065 | + | 0.580774i | ||
0.0959322 | + | 0.995388i | ||||||||
6.15808 | + | 10.6661i | 0.304126 | + | 0.526762i | |||||
−4.13651 | + | 7.16465i | −0.204039 | + | 0.353406i | |||||
23.6349 | 1.16441 | |||||||||
−3.08489 | + | 19.3357i | −0.151798 | + | 0.951448i | |||||
−2.06506 | −0.101492 | |||||||||
−3.26334 | + | 5.65226i | −0.160191 | + | 0.277459i | |||||
−7.49542 | − | 12.9825i | −0.367493 | − | 0.636517i | |||||
−1.24096 | − | 2.14940i | −0.0607699 | − | 0.105257i | |||||
−1.23862 | + | 2.14536i | −0.0605831 | + | 0.104933i | |||||
−6.45390 | −0.315293 | −0.157647 | − | 0.987496i | ||||||
−0.157647 | + | 0.987496i | ||||||||
0.574710 | − | 3.60221i | 0.0280430 | − | 0.175770i | |||||
29.9287 | 1.45863 | 0.729317 | − | 0.684176i | ||||||
0.729317 | + | 0.684176i | ||||||||
2.92318 | − | 5.06309i | 0.142298 | − | 0.246467i | |||||
2.95439 | + | 5.11716i | 0.143647 | + | 0.248805i | |||||
1.23157 | + | 2.13315i | 0.0598104 | + | 0.103595i | |||||
13.6235 | − | 23.5965i | 0.660835 | − | 1.14460i | |||||
8.88165 | 0.430317 | |||||||||
−12.4239 | + | 4.75296i | −0.601233 | + | 0.230012i | |||||
−18.2803 | −0.883612 | |||||||||
−1.01816 | + | 1.76351i | −0.0491574 | + | 0.0851430i | |||||
−3.29083 | − | 5.69989i | −0.158698 | − | 0.274873i | |||||
−3.87420 | − | 6.71030i | −0.186613 | − | 0.323224i | 0.757506 | − | 0.652829i | ||
−0.944119 | + | 0.329605i | ||||||||
−1.70056 | + | 2.94546i | −0.0818184 | + | 0.141714i | |||||
5.17696 | 0.248789 | 0.124394 | − | 0.992233i | ||||||
0.124394 | + | 0.992233i | ||||||||
−37.2189 | − | 30.2090i | −1.78656 | − | 1.45008i | |||||
−0.489621 | −0.0234755 | |||||||||
−4.31565 | + | 7.47492i | −0.206682 | + | 0.357984i | |||||
−0.544070 | − | 0.942358i | −0.0260264 | − | 0.0450791i | |||||
1.19374 | + | 2.06762i | 0.0570392 | + | 0.0987948i | |||||
15.1460 | − | 26.2337i | 0.722881 | − | 1.25207i | −0.236960 | − | 0.971519i | ||
0.959840 | − | 0.280547i | ||||||||
−0.366577 | −0.0174759 | |||||||||
−6.65249 | − | 2.17817i | −0.316785 | − | 0.103722i | |||||
−22.4507 | −1.06787 | |||||||||
−19.1011 | + | 33.0840i | −0.907519 | + | 1.57187i | −0.0900186 | + | 0.995940i | ||
−0.817500 | + | 0.575928i | ||||||||
10.3206 | + | 17.8758i | 0.489795 | + | 0.848349i | |||||
−2.41157 | − | 4.17695i | −0.114319 | − | 0.198007i | |||||
4.94354 | − | 8.56246i | 0.234083 | − | 0.405444i | |||||
−20.5957 | −0.974141 | |||||||||
−20.4549 | − | 16.6024i | −0.966402 | − | 0.784388i | |||||
2.95568 | 0.139487 | 0.0697435 | − | 0.997565i | ||||||
0.0697435 | + | 0.997565i | ||||||||
−4.77988 | + | 8.27900i | −0.225326 | + | 0.390276i | |||||
−5.39949 | − | 9.35219i | −0.254252 | − | 0.440378i | |||||
−10.0704 | − | 17.4424i | −0.473671 | − | 0.820423i | |||||
6.39740 | − | 11.0806i | 0.300576 | − | 0.520613i | |||||
−39.8455 | −1.87004 | |||||||||
2.77905 | − | 1.06317i | 0.130284 | − | 0.0498423i | |||||
0.594272 | 0.0278293 | |||||||||
−8.84772 | + | 15.3247i | −0.413879 | + | 0.716859i | −0.995310 | − | 0.0967363i | ||
0.581431 | + | 0.813596i | ||||||||
8.39398 | + | 14.5388i | 0.392225 | + | 0.679354i | |||||
2.94288 | + | 5.09722i | 0.137362 | + | 0.237918i | |||||
0.689363 | − | 1.19401i | 0.0321417 | − | 0.0556711i | |||||
−11.7447 | −0.547005 | −0.273503 | − | 0.961871i | ||||||
−0.273503 | + | 0.961871i | ||||||||
−0.948976 | + | 5.94806i | −0.0441504 | + | 0.276729i | |||||
27.0872 | 1.25885 | 0.629424 | − | 0.777062i | ||||||
0.629424 | + | 0.777062i | ||||||||
−1.36754 | + | 2.36865i | −0.0634865 | + | 0.109962i | |||||
−2.67092 | − | 4.62616i | −0.123861 | − | 0.214533i | |||||
8.20799 | + | 14.2167i | 0.380228 | + | 0.658574i | |||||
−11.5760 | + | 20.0502i | −0.535673 | + | 0.927813i | 0.463457 | + | 0.886119i | ||
−0.999130 | + | 0.0416937i | ||||||||
4.18274 | 0.193347 | |||||||||
0.859967 | − | 5.39016i | 0.0397096 | − | 0.248894i | |||||
−7.42921 | −0.342684 | |||||||||
−2.28502 | + | 3.95778i | −0.105288 | + | 0.182365i | |||||
−2.02088 | − | 3.50026i | −0.0930183 | − | 0.161112i | |||||
2.88545 | + | 4.99775i | 0.132673 | + | 0.229797i | |||||
−15.6651 | + | 27.1328i | −0.719522 | + | 1.24625i | |||||
−5.03733 | −0.231128 | |||||||||
−32.9350 | + | 12.5998i | −1.50957 | + | 0.577512i | |||||
4.51013 | 0.206505 | |||||||||
16.2922 | − | 28.2189i | 0.745187 | − | 1.29070i | |||||
−11.1838 | − | 19.3709i | −0.510999 | − | 0.885077i | −0.999919 | − | 0.0127478i | ||
0.488919 | − | 0.872329i | ||||||||
−2.47066 | − | 4.27932i | −0.112770 | − | 0.195323i | |||||
−8.41850 | + | 14.5813i | −0.383851 | + | 0.664849i | |||||
23.2641 | 1.05965 | |||||||||
−2.05425 | − | 1.66735i | −0.0934716 | − | 0.0758670i | |||||
−22.1570 | −1.00714 | |||||||||
−5.19499 | + | 8.99799i | −0.235892 | + | 0.408578i | |||||
−1.03253 | − | 1.78839i | −0.0468365 | − | 0.0811231i | |||||
−20.9261 | − | 36.2451i | −0.948252 | − | 1.64242i | −0.749105 | − | 0.662452i | ||
−0.199148 | − | 0.979969i | ||||||||
1.37290 | − | 2.37793i | 0.0621482 | − | 0.107644i | |||||
21.7544 | 0.983766 | |||||||||
6.55388 | − | 5.87436i | 0.296074 | − | 0.265376i | |||||
16.2658 | 0.734063 | 0.367032 | − | 0.930209i | ||||||
0.367032 | + | 0.930209i | ||||||||
−11.0909 | + | 19.2100i | −0.500016 | + | 0.866053i | |||||
2.36657 | + | 4.09902i | 0.106585 | + | 0.184611i | |||||
2.07531 | + | 3.59454i | 0.0933725 | + | 0.161726i | |||||
−0.335610 | + | 0.581293i | −0.0150845 | + | 0.0261272i | |||||
−29.8401 | −1.33986 | |||||||||
8.83517 | + | 7.17113i | 0.396311 | + | 0.321669i | |||||
−22.1366 | −0.991966 | |||||||||
9.91250 | − | 17.1689i | 0.443744 | − | 0.768588i | −0.554219 | − | 0.832371i | ||
0.997964 | + | 0.0637829i | ||||||||
−6.63808 | − | 11.4975i | −0.296864 | − | 0.514184i | |||||
−1.96170 | − | 3.39777i | −0.0876424 | − | 0.151801i | |||||
−2.34647 | + | 4.06420i | −0.104728 | + | 0.181394i | |||||
9.18201 | 0.409406 | 0.204703 | − | 0.978824i | ||||||
0.204703 | + | 0.978824i | ||||||||
1.34955 | − | 0.516294i | 0.0601138 | − | 0.0229976i | |||||
5.21517 | 0.232072 | |||||||||
−1.13829 | + | 1.97158i | −0.0506033 | + | 0.0876476i | |||||
−4.79408 | − | 8.30358i | −0.212912 | − | 0.368775i | |||||
−8.95644 | − | 15.5130i | −0.397378 | − | 0.688279i | |||||
16.4007 | − | 28.4068i | 0.726948 | − | 1.25911i | −0.231219 | − | 0.972902i | ||
0.958167 | − | 0.286210i | ||||||||
−7.40026 | −0.327689 | |||||||||
−0.481925 | + | 3.02064i | −0.0213191 | + | 0.133625i | |||||
−31.3178 | −1.38407 | |||||||||
0.544070 | − | 0.942358i | 0.0240213 | − | 0.0416061i | |||||
−0.899627 | − | 1.55820i | −0.0396808 | − | 0.0687292i | |||||
3.17738 | + | 5.50339i | 0.140012 | + | 0.242508i | |||||
5.92689 | − | 10.2657i | 0.260917 | − | 0.451921i | |||||
6.51404 | 0.286487 | |||||||||
−7.84645 | + | 49.1805i | −0.344753 | + | 2.16087i | |||||
24.0171 | 1.05423 | |||||||||
−0.307099 | + | 0.531910i | −0.0134672 | + | 0.0233258i | |||||
−3.43178 | − | 5.94402i | −0.150349 | − | 0.260412i | 0.781007 | − | 0.624523i | ||
−0.931356 | + | 0.364110i | ||||||||
−0.830328 | − | 1.43817i | −0.0363425 | − | 0.0629470i | |||||
−4.88311 | + | 8.45780i | −0.213524 | + | 0.369834i | −0.952815 | − | 0.303552i | ||
0.739291 | + | 0.673386i | ||||||||
1.07722 | 0.0470586 | |||||||||
−11.4394 | + | 4.37635i | −0.499257 | + | 0.190999i | |||||
11.0166 | 0.480347 | |||||||||
−25.8197 | + | 44.7210i | −1.12472 | + | 1.94808i | |||||
1.87476 | + | 3.24718i | 0.0815884 | + | 0.141315i | |||||
−0.500000 | − | 0.866025i | −0.0217391 | − | 0.0376533i | |||||
−2.83533 | + | 4.91094i | −0.123159 | + | 0.213318i | |||||
−7.40064 | −0.321160 | |||||||||
5.06179 | + | 4.10844i | 0.219456 | + | 0.178124i | |||||
−18.0936 | −0.783722 | |||||||||
8.17935 | − | 14.1670i | 0.353955 | − | 0.613068i | |||||
−2.45754 | − | 4.25658i | −0.106249 | − | 0.184028i | |||||
0.563354 | + | 0.975757i | 0.0243332 | + | 0.0421463i | |||||
10.0845 | − | 17.4669i | 0.435179 | − | 0.753752i | |||||
−46.9568 | −2.02445 | |||||||||
−5.74653 | + | 5.15072i | −0.247521 | + | 0.221857i | |||||
1.37873 | 0.0593309 | |||||||||
2.32104 | − | 4.02015i | 0.0997891 | − | 0.172840i | −0.811808 | − | 0.583924i | ||
0.911597 | + | 0.411084i | ||||||||
−6.63039 | − | 11.4842i | −0.284800 | − | 0.493288i | |||||
8.35434 | + | 14.4701i | 0.358519 | + | 0.620973i | |||||
−23.8838 | + | 41.3680i | −1.02401 | + | 1.77364i | |||||
−2.32072 | −0.0994088 | |||||||||
7.83575 | + | 6.35995i | 0.335339 | + | 0.272181i | |||||
21.6976 | 0.927722 | 0.463861 | − | 0.885908i | ||||||
0.463861 | + | 0.885908i | ||||||||
9.36698 | − | 16.2241i | 0.400138 | − | 0.693059i | |||||
−2.51384 | − | 4.35410i | −0.107288 | − | 0.185829i | |||||
5.26950 | + | 9.12704i | 0.224692 | + | 0.389179i | |||||
0.437525 | − | 0.757815i | 0.0186392 | − | 0.0322840i | |||||
0.546135 | 0.0232451 | |||||||||
−37.4904 | + | 14.3426i | −1.59425 | + | 0.609909i | |||||
−28.9836 | −1.23140 | |||||||||
−2.77493 | + | 4.80632i | −0.117789 | + | 0.204017i | |||||
2.81010 | + | 4.86724i | 0.119175 | + | 0.206417i | |||||
16.0798 | + | 27.8510i | 0.681323 | + | 1.18009i | 0.974577 | + | 0.224051i | ||
−0.293255 | + | 0.956034i | ||||||||
9.05900 | − | 15.6906i | 0.383498 | − | 0.664238i | |||||
9.66910 | 0.408960 | |||||||||
0.863190 | − | 5.41036i | 0.0364764 | − | 0.228630i | |||||
6.48865 | 0.273951 | |||||||||
25.3257 | − | 43.8653i | 1.06830 | − | 1.85035i | |||||
6.15797 | + | 10.6659i | 0.259528 | + | 0.449515i | 0.966115 | − | 0.258110i | ||
−0.706588 | + | 0.707625i | ||||||||
−6.69012 | − | 11.5876i | −0.281705 | − | 0.487927i | |||||
2.70765 | − | 4.68979i | 0.113912 | − | 0.197301i | |||||
9.08503 | 0.381872 | |||||||||
0.416841 | − | 2.61271i | 0.0175057 | − | 0.109723i | |||||
−2.34888 | −0.0985570 | |||||||||
13.1175 | − | 22.7202i | 0.549914 | − | 0.952479i | −0.448366 | − | 0.893850i | ||
0.998280 | − | 0.0586291i | ||||||||
0.684069 | + | 1.18484i | 0.0286525 | + | 0.0496276i | |||||
2.79914 | + | 4.84826i | 0.117141 | + | 0.202893i | 0.918633 | − | 0.395111i | ||
−0.801493 | + | 0.598004i | ||||||||
2.30559 | − | 3.99340i | 0.0964017 | − | 0.166973i | |||||
−3.50958 | −0.146615 | |||||||||
−49.9864 | + | 19.1232i | −2.08639 | + | 0.798185i | |||||
−4.62930 | −0.193055 | |||||||||
4.97867 | − | 8.62331i | 0.207445 | − | 0.359305i | |||||
5.06738 | + | 8.77696i | 0.210958 | + | 0.365390i | 0.952015 | − | 0.306053i | ||
−0.741057 | + | 0.671442i | ||||||||
18.2160 | + | 31.5511i | 0.757688 | + | 1.31235i | |||||
−6.82110 | + | 11.8145i | −0.283475 | + | 0.490993i | |||||
1.10873 | 0.0460375 | |||||||||
−22.0208 | − | 17.8733i | −0.913576 | − | 0.741511i | |||||
−35.2399 | −1.46074 | |||||||||
2.48606 | − | 4.30598i | 0.102962 | − | 0.178336i | |||||
−0.315703 | − | 0.546814i | −0.0130639 | − | 0.0226273i | |||||
0.562312 | + | 0.973953i | 0.0232487 | + | 0.0402680i | |||||
13.7753 | − | 23.8595i | 0.569052 | − | 0.985627i | |||||
27.2323 | 1.12400 | 0.561999 | − | 0.827138i | ||||||
0.561999 | + | 0.827138i | ||||||||
15.0643 | + | 4.93239i | 0.621242 | + | 0.203408i | |||||
9.54691 | 0.393374 | |||||||||
4.65247 | − | 8.05832i | 0.191539 | − | 0.331756i | |||||
−6.73255 | − | 11.6611i | −0.276940 | − | 0.479675i | |||||
15.5011 | + | 26.8487i | 0.637092 | + | 1.10348i | |||||
−19.1773 | + | 33.2161i | −0.787519 | + | 1.36402i | 0.139964 | + | 0.990157i | ||
−0.927483 | + | 0.373866i | ||||||||
−2.27659 | −0.0934095 | |||||||||
−7.36154 | − | 5.97505i | −0.301794 | − | 0.244953i | |||||
46.6381 | 1.91037 | |||||||||
7.14872 | − | 12.3820i | 0.292578 | − | 0.506760i | |||||
1.90720 | + | 3.30337i | 0.0779914 | + | 0.135085i | |||||
3.44189 | + | 5.96153i | 0.140632 | + | 0.243581i | 0.927735 | − | 0.373240i | ||
−0.787103 | + | 0.616822i | ||||||||
1.26411 | − | 2.18951i | 0.0516071 | − | 0.0893862i | |||||
1.80012 | 0.0734283 | 0.0367141 | − | 0.999326i | ||||||
0.0367141 | + | 0.999326i | ||||||||
26.7124 | − | 10.2193i | 1.08872 | − | 0.416507i | |||||
2.06305 | 0.0840141 | |||||||||
−14.4867 | + | 25.0917i | −0.589455 | + | 1.02097i | |||||
−2.97870 | − | 5.15927i | −0.121102 | − | 0.209754i | |||||
8.84420 | + | 15.3186i | 0.359271 | + | 0.622275i | |||||
−1.46758 | + | 2.54193i | −0.0595674 | + | 0.103174i | −0.894271 | − | 0.447525i | ||
0.834704 | + | 0.550699i | ||||||||
8.83113 | 0.358150 | |||||||||
0.335211 | − | 2.10106i | 0.0135834 | − | 0.0851392i | |||||
6.32139 | 0.255946 | |||||||||
5.45711 | − | 9.45200i | 0.220771 | − | 0.382387i | |||||
−6.66405 | − | 11.5425i | −0.269378 | − | 0.466577i | |||||
−15.8695 | − | 27.4867i | −0.640962 | − | 1.11018i | −0.985218 | − | 0.171303i | ||
0.344256 | − | 0.938876i | ||||||||
25.3485 | − | 43.9049i | 1.02298 | − | 1.77186i | |||||
−5.96408 | −0.240495 | |||||||||
0.250971 | − | 1.57305i | 0.0101119 | − | 0.0633801i | |||||
−41.7807 | −1.68203 | −0.841013 | − | 0.541015i | ||||||
−0.841013 | + | 0.541015i | ||||||||
−10.7768 | + | 18.6660i | −0.433506 | + | 0.750855i | |||||
−13.6085 | − | 23.5706i | −0.546972 | − | 0.947383i | −0.998480 | − | 0.0551163i | ||
0.451508 | − | 0.892267i | ||||||||
6.04820 | + | 10.4758i | 0.242901 | + | 0.420718i | |||||
0.500000 | − | 0.866025i | 0.0200643 | − | 0.0347524i | |||||
−53.8512 | −2.15924 | |||||||||
19.5752 | − | 7.48882i | 0.784263 | − | 0.300033i | |||||
6.28229 | 0.251493 | |||||||||
−9.78844 | + | 16.9541i | −0.391538 | + | 0.678163i | |||||
24.9845 | + | 43.2743i | 0.998580 | + | 1.72959i | |||||
−0.599801 | − | 1.03889i | −0.0239537 | − | 0.0414891i | |||||
5.17436 | − | 8.96225i | 0.206479 | − | 0.357633i | |||||
53.6503 | 2.13918 | |||||||||
2.58284 | + | 2.09639i | 0.102903 | + | 0.0835220i | |||||
25.8728 | 1.02998 | 0.514990 | − | 0.857196i | ||||||
0.514990 | + | 0.857196i | ||||||||
4.14287 | − | 7.17566i | 0.164795 | − | 0.285433i | |||||
1.41554 | + | 2.45179i | 0.0562627 | + | 0.0974499i | |||||
3.72718 | + | 6.45567i | 0.148025 | + | 0.256387i | |||||
2.40814 | − | 4.17103i | 0.0955643 | − | 0.165522i | |||||
−10.2130 | −0.404973 | |||||||||
2.65965 | + | 12.6533i | 0.105379 | + | 0.501343i | |||||
−1.83076 | −0.0724805 | |||||||||
−2.15046 | + | 3.72471i | −0.0850709 | + | 0.147347i | |||||
1.31844 | + | 2.28360i | 0.0521158 | + | 0.0902672i | |||||
6.67953 | + | 11.5693i | 0.263826 | + | 0.456959i | 0.967255 | − | 0.253805i | ||
−0.703430 | + | 0.710765i | ||||||||
8.33528 | − | 14.4371i | 0.328967 | − | 0.569788i | |||||
43.4719 | 1.71436 | 0.857182 | − | 0.515014i | ||||||
0.857182 | + | 0.515014i | ||||||||
4.65178 | + | 3.77565i | 0.183306 | + | 0.148782i | |||||
3.18716 | 0.125494 | |||||||||
6.61287 | − | 11.4538i | 0.260180 | − | 0.450645i | |||||
23.0757 | + | 39.9683i | 0.907201 | + | 1.57132i | 0.817936 | + | 0.575310i | ||
0.0892649 | + | 0.996008i | ||||||||
0.273068 | + | 0.472967i | 0.0107271 | + | 0.0185799i | |||||
−4.07935 | + | 7.06565i | −0.160129 | + | 0.277351i | |||||
17.6580 | 0.692605 | |||||||||
21.6804 | − | 8.29420i | 0.849721 | − | 0.325075i | |||||
−49.2620 | −1.92925 | |||||||||
16.7983 | − | 29.0955i | 0.657367 | − | 1.13859i | −0.323928 | − | 0.946082i | ||
0.981295 | − | 0.192511i | ||||||||
−3.93562 | − | 6.81669i | −0.153895 | − | 0.266554i | |||||
0.144818 | + | 0.250832i | 0.00565849 | + | 0.00980080i | |||||
−16.6580 | + | 28.8526i | −0.650387 | + | 1.12650i | |||||
−1.15613 | −0.0451051 | |||||||||
5.08629 | − | 31.8802i | 0.198284 | − | 1.24282i | |||||
10.2122 | 0.397809 | 0.198905 | − | 0.980019i | ||||||
0.198905 | + | 0.980019i | ||||||||
0.759977 | − | 1.31632i | 0.0295820 | − | 0.0512376i | |||||
−9.00998 | − | 15.6057i | −0.350448 | − | 0.606993i | 0.635880 | − | 0.771788i | ||
−0.986328 | + | 0.164795i | ||||||||
8.50189 | + | 14.7257i | 0.330435 | + | 0.572331i | |||||
5.43585 | − | 9.41517i | 0.211111 | − | 0.365655i | |||||
5.85436 | 0.227193 | |||||||||
−0.276165 | + | 1.73097i | −0.0107092 | + | 0.0671240i | |||||
−18.8236 | −0.729399 | |||||||||
0.402085 | − | 0.696431i | 0.0155688 | − | 0.0269659i | |||||
4.44221 | + | 7.69413i | 0.171874 | + | 0.297695i | |||||
2.39390 | + | 4.14635i | 0.0925534 | + | 0.160307i | |||||
−1.29696 | + | 2.24640i | −0.0501058 | + | 0.0867858i | |||||
−5.54268 | −0.213973 | |||||||||
20.0549 | − | 7.67234i | 0.773634 | − | 0.295967i | |||||
−40.5777 | −1.56415 | −0.782077 | − | 0.623181i | ||||||
−0.782077 | + | 0.623181i | ||||||||
27.0383 | − | 46.8318i | 1.04148 | − | 1.80389i | |||||
−2.31465 | − | 4.00909i | −0.0890909 | − | 0.154310i | |||||
10.8560 | + | 18.8032i | 0.417539 | + | 0.723199i | |||||
−12.9712 | + | 22.4667i | −0.498522 | + | 0.863466i | −0.999999 | − | 0.00170564i | ||
0.501476 | + | 0.865171i | ||||||||
18.3672 | 0.705388 | |||||||||
−35.0555 | − | 28.4531i | −1.34531 | − | 1.09193i | |||||
1.95711 | 0.0750518 | |||||||||
9.64756 | − | 16.7101i | 0.369695 | − | 0.640331i | |||||
−9.98694 | − | 17.2979i | −0.382420 | − | 0.662370i | |||||
12.9083 | + | 22.3579i | 0.493924 | + | 0.855502i | 0.999975 | − | 0.00700177i | ||
−0.506051 | + | 0.862503i | ||||||||
−1.23203 | + | 2.13394i | −0.0471078 | + | 0.0815931i | |||||
5.03705 | 0.192456 | |||||||||
20.7210 | + | 32.1458i | 0.791132 | + | 1.22733i | |||||
−8.12954 | −0.310161 | |||||||||
8.90193 | − | 15.4186i | 0.339383 | − | 0.587829i | |||||
−4.16538 | − | 7.21465i | −0.158688 | − | 0.274856i | |||||
0.628658 | + | 1.08887i | 0.0239326 | + | 0.0414525i | |||||
7.80100 | − | 13.5117i | 0.296764 | − | 0.514010i | −0.678630 | − | 0.734480i | ||
0.975394 | + | 0.220470i | ||||||||
−54.3859 | −2.06744 | |||||||||
−2.26467 | − | 1.83814i | −0.0860278 | − | 0.0698252i | |||||
12.2403 | 0.464636 | |||||||||
−0.755561 | + | 1.30867i | −0.0286600 | + | 0.0496407i | |||||
0.219593 | + | 0.380346i | 0.00832364 | + | 0.0144170i | |||||
28.8272 | + | 49.9303i | 1.09191 | + | 1.89124i | |||||
30.5958 | − | 52.9935i | 1.15807 | − | 2.00583i | |||||
−7.94940 | −0.300674 | |||||||||
25.9042 | − | 9.91008i | 0.979086 | − | 0.374566i | |||||
38.6350 | 1.45922 | 0.729612 | − | 0.683861i | ||||||
0.729612 | + | 0.683861i | ||||||||
−1.90720 | + | 3.30337i | −0.0719828 | + | 0.124678i | |||||
−4.95935 | − | 8.58985i | −0.187046 | − | 0.323972i | |||||
−5.48865 | − | 9.50662i | −0.206861 | − | 0.358294i | |||||
1.79879 | − | 3.11560i | 0.0677464 | − | 0.117340i | |||||
29.4039 | 1.10663 | |||||||||
−3.57048 | + | 22.3793i | −0.134282 | + | 0.841661i | |||||
16.7585 | 0.629823 | |||||||||
21.6716 | − | 37.5363i | 0.813894 | − | 1.40971i | −0.0962250 | − | 0.995360i | ||
0.910119 | − | 0.414346i | ||||||||
−2.70381 | − | 4.68313i | −0.101472 | − | 0.175755i | |||||
−7.58579 | − | 13.1390i | −0.284490 | − | 0.492750i | |||||
−2.16315 | + | 3.74669i | −0.0810675 | + | 0.140413i | |||||
8.77360 | 0.328574 | |||||||||
5.06647 | − | 31.7560i | 0.189608 | − | 1.18844i | |||||
1.23982 | 0.0463667 | |||||||||
−22.8360 | + | 39.5531i | −0.853422 | + | 1.47817i | |||||
7.88945 | + | 13.6649i | 0.294637 | + | 0.510326i | |||||
2.87280 | + | 4.97584i | 0.107212 | + | 0.185697i | |||||
14.7243 | − | 25.5032i | 0.549122 | − | 0.951107i | −0.449213 | − | 0.893425i | ||
0.998335 | − | 0.0576826i | ||||||||
2.07079 | 0.0771737 | |||||||||
−25.7915 | + | 9.86697i | −0.960525 | + | 0.367465i | |||||
36.7910 | 1.36922 | |||||||||
−5.63279 | + | 9.75628i | −0.209486 | + | 0.362840i | |||||
−18.9181 | − | 32.7671i | −0.703086 | − | 1.21778i | |||||
−1.86137 | − | 3.22399i | −0.0691295 | − | 0.119736i | |||||
10.1029 | − | 17.4988i | 0.374955 | − | 0.649441i | |||||
−50.1254 | −1.85905 | −0.929524 | − | 0.368763i | ||||||
−0.929524 | + | 0.368763i | ||||||||
−2.07228 | − | 1.68198i | −0.0768039 | − | 0.0623385i | |||||
1.00000 | 0.0370370 | |||||||||
0.726814 | − | 1.25888i | 0.0269006 | − | 0.0465932i | |||||
−15.4051 | − | 26.6824i | −0.569777 | − | 0.986883i | |||||
5.69251 | + | 9.85971i | 0.210401 | + | 0.364425i | |||||
10.4880 | − | 18.1657i | 0.387383 | − | 0.670967i | −0.604714 | − | 0.796443i | ||
0.992097 | + | 0.125476i | ||||||||
13.7625 | 0.507984 | |||||||||
0.876683 | + | 4.17083i | 0.0323369 | + | 0.153843i | |||||
8.11580 | 0.299152 | |||||||||
1.13719 | − | 1.96967i | 0.0418889 | − | 0.0725537i | |||||
−10.1142 | − | 17.5184i | −0.372310 | − | 0.644860i | |||||
−5.79259 | − | 10.0331i | −0.213084 | − | 0.369072i | 0.739594 | − | 0.673053i | ||
−0.952678 | + | 0.303981i | ||||||||
6.28374 | − | 10.8838i | 0.230995 | − | 0.400095i | |||||
−2.00993 | −0.0738365 | |||||||||
−19.1327 | − | 15.5292i | −0.702382 | − | 0.570094i | |||||
−44.7847 | −1.64299 | −0.821495 | − | 0.570216i | ||||||
−0.821495 | + | 0.570216i | ||||||||
−2.39579 | + | 4.14963i | −0.0878338 | + | 0.152133i | |||||
6.26986 | + | 10.8597i | 0.229710 | + | 0.397869i | |||||
−19.7031 | − | 34.1268i | −0.721382 | − | 1.24947i | |||||
5.35981 | − | 9.28346i | 0.196105 | − | 0.339664i | |||||
−14.6933 | −0.537241 | |||||||||
19.9483 | − | 7.63158i | 0.728896 | − | 0.278852i | |||||
12.1071 | 0.442088 | |||||||||
11.1443 | − | 19.3025i | 0.406662 | − | 0.704360i | −0.587851 | − | 0.808969i | ||
0.994513 | + | 0.104609i | ||||||||
−10.0483 | − | 17.4041i | −0.366423 | − | 0.634663i | |||||
−1.13627 | − | 1.96808i | −0.0414081 | − | 0.0717209i | |||||
−1.53371 | + | 2.65647i | −0.0558546 | + | 0.0967430i | |||||
−7.79015 | −0.283513 | |||||||||
−0.943923 | + | 5.91639i | −0.0343301 | + | 0.215177i | |||||
−34.3724 | −1.24929 | −0.624643 | − | 0.780910i | ||||||
−0.624643 | + | 0.780910i | ||||||||
13.6946 | − | 23.7197i | 0.497410 | − | 0.861539i | |||||
−0.551216 | − | 0.954735i | −0.0200079 | − | 0.0346547i | |||||
−0.180912 | − | 0.313349i | −0.00656238 | − | 0.0113664i | |||||
−21.8603 | + | 37.8632i | −0.792435 | + | 1.37254i | 0.132020 | + | 0.991247i | ||
−0.924455 | + | 0.381291i | ||||||||
16.3355 | 0.591773 | |||||||||
1.58884 | − | 9.95867i | 0.0575200 | − | 0.360528i | |||||
7.94731 | 0.287524 | |||||||||
1.79178 | − | 3.10346i | 0.0647820 | − | 0.112206i | |||||
−3.21738 | − | 5.57266i | −0.116249 | − | 0.201349i | |||||
6.83493 | + | 11.8384i | 0.246795 | + | 0.427462i | |||||
5.48557 | − | 9.50129i | 0.197944 | − | 0.342848i | |||||
−2.96450 | −0.106903 | −0.0534513 | − | 0.998570i | ||||||
−0.0534513 | + | 0.998570i | ||||||||
3.42520 | − | 1.31037i | 0.123436 | − | 0.0472224i | |||||
0.871285 | 0.0313785 | |||||||||
15.4461 | − | 26.7535i | 0.555919 | − | 0.962879i | |||||
−11.1019 | − | 19.2290i | −0.399307 | − | 0.691621i | 0.594333 | − | 0.804219i | ||
−0.993641 | + | 0.112598i | ||||||||
5.40497 | + | 9.36169i | 0.194278 | + | 0.336499i | |||||
20.3078 | − | 35.1742i | 0.729478 | − | 1.26349i | |||||
9.31971 | 0.334558 | |||||||||
−18.7251 | − | 15.1984i | −0.671758 | − | 0.545238i | |||||
20.6177 | 0.739181 | |||||||||
5.32949 | − | 9.23095i | 0.190949 | − | 0.330733i | |||||
−1.27334 | − | 2.20548i | −0.0455927 | − | 0.0789690i | |||||
2.37074 | + | 4.10624i | 0.0848316 | + | 0.146933i | |||||
6.07722 | − | 10.5260i | 0.217321 | − | 0.376411i | |||||
0.804169 | 0.0287387 | |||||||||
22.6260 | + | 7.40824i | 0.808070 | + | 0.264580i | |||||
2.78249 | 0.0993112 | |||||||||
−0.491181 | + | 0.850750i | −0.0175198 | + | 0.0303452i | |||||
17.3258 | + | 30.0091i | 0.617596 | + | 1.06971i | 0.989923 | + | 0.141607i | ||
−0.372327 | + | 0.928102i | ||||||||
15.2456 | + | 26.4062i | 0.543103 | + | 0.940682i | |||||
−2.66738 | + | 4.62004i | −0.0949613 | + | 0.164478i | |||||
19.0755 | 0.678676 | |||||||||
18.2711 | + | 14.8299i | 0.649645 | + | 0.527289i | |||||
0.602078 | 0.0213939 | |||||||||
−4.64337 | + | 8.04255i | −0.164891 | + | 0.285599i | |||||
5.82805 | + | 10.0945i | 0.206830 | + | 0.358240i | |||||
−1.37300 | − | 2.37811i | −0.0486955 | − | 0.0843430i | |||||
−16.1880 | + | 28.0385i | −0.573770 | + | 0.993798i | |||||
−22.4200 | −0.794158 | −0.397079 | − | 0.917784i | ||||||
−0.397079 | + | 0.917784i | ||||||||
−5.55273 | + | 2.12429i | −0.196564 | + | 0.0751991i | |||||
−34.7777 | −1.23035 | |||||||||
18.7852 | − | 32.5370i | 0.664158 | − | 1.15036i | |||||
3.96083 | + | 6.86036i | 0.139949 | + | 0.242399i | |||||
39.8166 | + | 68.9644i | 1.40597 | + | 2.43522i | |||||
−0.637280 | + | 1.10380i | −0.0224891 | + | 0.0389523i | |||||
−4.67171 | −0.164759 | |||||||||
−0.253795 | + | 1.59076i | −0.00894511 | + | 0.0560668i | |||||
−33.4661 | −1.17879 | |||||||||
11.3694 | − | 19.6923i | 0.400221 | − | 0.693203i | |||||
−2.33898 | − | 4.05123i | −0.0822850 | − | 0.142522i | |||||
−13.0122 | − | 22.5378i | −0.457485 | − | 0.792387i | 0.541342 | − | 0.840802i | ||
−0.998827 | + | 0.0484149i | ||||||||
−0.628658 | + | 1.08887i | −0.0220888 | + | 0.0382589i | |||||
−45.2644 | −1.58945 | −0.794724 | − | 0.606970i | ||||||
−0.794724 | + | 0.606970i | ||||||||
−0.759074 | + | 4.75777i | −0.0266383 | + | 0.166965i | |||||
6.42151 | 0.225212 | |||||||||
−10.3759 | + | 17.9715i | −0.363674 | + | 0.629902i | |||||
−6.62261 | − | 11.4707i | −0.231980 | − | 0.401801i | |||||
−10.0091 | − | 17.3363i | −0.350389 | − | 0.606892i | |||||
−2.84804 | + | 4.93295i | −0.0996404 | + | 0.172582i | |||||
76.0088 | 2.65759 | |||||||||
−4.56440 | + | 1.74619i | −0.159493 | + | 0.0610168i | |||||
13.5054 | 0.471630 | |||||||||
−3.64364 | + | 6.31098i | −0.127164 | + | 0.220255i | −0.922577 | − | 0.385814i | ||
0.795413 | + | 0.606068i | ||||||||
8.54213 | + | 14.7954i | 0.297941 | + | 0.516049i | |||||
−1.64934 | − | 2.85675i | −0.0574925 | − | 0.0995800i | 0.835847 | − | 0.548963i | ||
−0.893339 | + | 0.449383i | ||||||||
2.85008 | − | 4.93649i | 0.0992874 | − | 0.171971i | |||||
−5.10349 | −0.177681 | |||||||||
31.3946 | + | 25.4817i | 1.09236 | + | 0.886621i | |||||
−48.8022 | −1.69702 | −0.848510 | − | 0.529179i | ||||||
−0.848510 | + | 0.529179i | ||||||||
−1.13223 | + | 1.96108i | −0.0393478 | + | 0.0681524i | |||||
−12.3989 | − | 21.4755i | −0.430631 | − | 0.745875i | 0.566296 | − | 0.824202i | ||
−0.996928 | + | 0.0783263i | ||||||||
6.73898 | + | 11.6723i | 0.233913 | + | 0.405150i | |||||
7.01764 | − | 12.1549i | 0.243439 | − | 0.421649i | |||||
−18.3924 | −0.637642 | |||||||||
30.6801 | − | 27.4991i | 1.06300 | − | 0.952786i | |||||
−5.12530 | −0.177475 | |||||||||
−1.19439 | + | 2.06874i | −0.0413335 | + | 0.0715918i | |||||
1.35823 | + | 2.35252i | 0.0469753 | + | 0.0813636i | |||||
4.38680 | + | 7.59816i | 0.151630 | + | 0.262631i | |||||
−6.66383 | + | 11.5421i | −0.230198 | + | 0.398715i | |||||
−6.27230 | −0.216544 | −0.108272 | − | 0.994121i | ||||||
−0.108272 | + | 0.994121i | ||||||||
−0.683072 | − | 0.554421i | −0.0235682 | − | 0.0191293i | |||||
−28.3533 | −0.977700 | |||||||||
30.9022 | − | 53.5242i | 1.06496 | − | 1.84457i | |||||
12.2639 | + | 21.2417i | 0.422391 | + | 0.731603i | |||||
−3.20544 | − | 5.55199i | −0.110336 | − | 0.191107i | |||||
−2.91889 | + | 5.05566i | −0.100413 | + | 0.173920i | |||||
12.2020 | 0.419513 | |||||||||
24.1788 | − | 9.25000i | 0.830792 | − | 0.317834i | |||||
−15.3395 | −0.526762 | |||||||||
−2.19970 | + | 3.81000i | −0.0754936 | + | 0.130759i | |||||
−28.1332 | − | 48.7282i | −0.964963 | − | 1.67136i | |||||
−4.55764 | − | 7.89406i | −0.156234 | − | 0.270605i | |||||
4.86964 | − | 8.43446i | 0.166831 | − | 0.288960i | |||||
−1.75188 | −0.0599834 | −0.0299917 | − | 0.999550i | ||||||
−0.0299917 | + | 0.999550i | ||||||||
−4.32784 | + | 27.1263i | −0.148096 | + | 0.928244i | |||||
−0.662518 | −0.0226576 | |||||||||
−2.20439 | + | 3.81811i | −0.0753444 | + | 0.130500i | |||||
7.54775 | + | 13.0731i | 0.257826 | + | 0.446568i | 0.965659 | − | 0.259812i | ||
−0.707833 | + | 0.706380i | ||||||||
2.10256 | + | 3.64175i | 0.0717804 | + | 0.124327i | |||||
−4.79401 | + | 8.30346i | −0.163569 | + | 0.283310i | −0.936146 | − | 0.351611i | ||
0.772577 | + | 0.634921i | ||||||||
−7.21721 | −0.246105 | |||||||||
4.08321 | − | 25.5930i | 0.139155 | − | 0.872208i | |||||
−16.0009 | −0.544992 | |||||||||
−17.1667 | + | 29.7336i | −0.584362 | + | 1.01215i | 0.410592 | + | 0.911819i | ||
−0.994955 | + | 0.100326i | ||||||||
4.05790 | + | 7.02849i | 0.138053 | + | 0.239114i | |||||
−7.31144 | − | 12.6638i | −0.248596 | − | 0.430582i | |||||
5.34536 | − | 9.25844i | 0.181643 | − | 0.314614i | |||||
−17.6422 | −0.599159 | |||||||||
−49.0945 | + | 18.7819i | −1.66637 | + | 0.637500i | |||||
−16.7257 | −0.567379 | |||||||||
−0.505548 | + | 0.875634i | −0.0171397 | + | 0.0296868i | |||||
−1.90535 | − | 3.30017i | −0.0645605 | − | 0.111822i | |||||
1.04083 | + | 1.80277i | 0.0352470 | + | 0.0610497i | |||||
8.53242 | − | 14.7786i | 0.288779 | − | 0.500179i | |||||
−2.24707 | −0.0760084 | |||||||||
12.0437 | + | 9.77538i | 0.407152 | + | 0.330468i | |||||
2.61803 | 0.0884549 | |||||||||
−8.80288 | + | 15.2470i | −0.297252 | + | 0.514856i | −0.975506 | − | 0.219971i | ||
0.678254 | + | 0.734828i | ||||||||
−31.2774 | − | 54.1741i | −1.05556 | − | 1.82829i | |||||
6.67065 | + | 11.5539i | 0.224996 | + | 0.389704i | |||||
1.14145 | − | 1.97705i | 0.0384783 | − | 0.0666464i | |||||
39.5494 | 1.33245 | 0.666227 | − | 0.745749i | ||||||
0.666227 | + | 0.745749i | ||||||||
−10.7643 | + | 9.64823i | −0.362453 | + | 0.324873i | |||||
0.340528 | 0.0114597 | 0.00572983 | − | 0.999984i | ||||||
0.00572983 | + | 0.999984i | ||||||||
−12.3093 | + | 21.3203i | −0.414006 | + | 0.717080i | |||||
2.25295 | + | 3.90223i | 0.0757321 | + | 0.131172i | |||||
39.4448 | + | 68.3204i | 1.32517 | + | 2.29527i | |||||
−15.0481 | + | 26.0641i | −0.505266 | + | 0.875146i | 0.494716 | + | 0.869055i | ||
−0.999981 | + | 0.00609116i | ||||||||
4.97818 | 0.167057 | |||||||||
16.2500 | + | 13.1894i | 0.545008 | + | 0.442360i | |||||
−9.96004 | −0.333861 | |||||||||
0.551216 | − | 0.954735i | 0.0184664 | − | 0.0319848i | |||||
−5.42090 | − | 9.38927i | −0.181505 | − | 0.314376i | |||||
3.21479 | + | 5.56819i | 0.107579 | + | 0.186332i | |||||
−21.2656 | + | 36.8331i | −0.711228 | + | 1.23188i | |||||
−12.2800 | −0.410474 | |||||||||
−10.7020 | + | 4.09424i | −0.357529 | + | 0.136779i | |||||
−1.84712 | −0.0616735 | |||||||||
3.05182 | − | 5.28591i | 0.101841 | − | 0.176393i | |||||
3.52773 | + | 6.11021i | 0.117656 | + | 0.203787i | |||||
5.24144 | + | 9.07844i | 0.174715 | + | 0.302615i | |||||
−13.2728 | + | 22.9891i | −0.442180 | + | 0.765879i | |||||
−22.3005 | −0.742526 | |||||||||
−2.18204 | + | 13.6767i | −0.0726137 | + | 0.455133i | |||||
−4.85748 | −0.161557 | |||||||||
5.08657 | − | 8.81019i | 0.169083 | − | 0.292861i | |||||
−13.2110 | − | 22.8821i | −0.438906 | − | 0.760208i | |||||
−15.9426 | − | 27.6134i | −0.529366 | − | 0.916889i | −0.999413 | − | 0.0342480i | ||
0.470047 | − | 0.882641i | ||||||||
−21.8465 | + | 37.8393i | −0.725003 | + | 1.25574i | |||||
−8.56557 | −0.284102 | |||||||||
0.968079 | − | 6.06779i | 0.0320915 | − | 0.201145i | |||||
36.7297 | 1.21691 | 0.608454 | − | 0.793589i | ||||||
0.608454 | + | 0.793589i | ||||||||
−1.85045 | + | 3.20508i | −0.0612746 | + | 0.106131i | |||||
−5.90883 | − | 10.2344i | −0.195554 | − | 0.338709i | |||||
18.2711 | + | 31.6464i | 0.604353 | + | 1.04677i | |||||
−1.53056 | + | 2.65101i | −0.0505988 | + | 0.0876396i | |||||
18.4090 | 0.608252 | |||||||||
−1.17551 | + | 0.449713i | −0.0388189 | + | 0.0148508i | |||||
12.1544 | 0.401156 | |||||||||
14.6657 | − | 25.4018i | 0.483778 | − | 0.837928i | −0.516049 | − | 0.856559i | ||
0.999826 | + | 0.0186315i | ||||||||
−0.166258 | − | 0.287967i | −0.00548137 | − | 0.00949401i | |||||
12.2750 | + | 21.2609i | 0.404474 | + | 0.700569i | |||||
−12.1267 | + | 21.0041i | −0.399373 | + | 0.691734i | |||||
7.94431 | 0.261490 | |||||||||
5.12827 | + | 4.16241i | 0.168708 | + | 0.136933i | |||||
−42.1973 | −1.38744 | |||||||||
27.9683 | − | 48.4425i | 0.919095 | − | 1.59192i | |||||
−5.21864 | − | 9.03895i | −0.171403 | − | 0.296878i | |||||
3.26324 | + | 5.65209i | 0.107121 | + | 0.185539i | |||||
0.653520 | − | 1.13193i | 0.0214413 | − | 0.0371374i | −0.855106 | − | 0.518454i | ||
0.876547 | + | 0.481316i | ||||||||
−11.0312 | −0.361727 | |||||||||
−7.23884 | − | 2.37016i | −0.237243 | − | 0.0776787i | |||||
18.0011 | 0.589647 | |||||||||
13.0387 | − | 22.5836i | 0.426867 | − | 0.739355i | |||||
23.9051 | + | 41.4048i | 0.782199 | + | 1.35481i | |||||
−1.97532 | − | 3.42135i | −0.0645998 | − | 0.111890i | |||||
0.504389 | − | 0.873627i | 0.0164865 | − | 0.0285554i | |||||
−4.77786 | −0.156086 | −0.0780430 | − | 0.996950i | ||||||
−0.0780430 | + | 0.996950i | ||||||||
−8.75178 | − | 7.10345i | −0.285756 | − | 0.231936i | |||||
−24.1973 | −0.789650 | |||||||||
−4.07330 | + | 7.05516i | −0.132856 | + | 0.230114i | |||||
16.7002 | + | 28.9256i | 0.544411 | + | 0.942947i | 0.998644 | + | 0.0520640i | ||
−0.454233 | + | 0.890883i | ||||||||
4.71871 | + | 8.17304i | 0.153744 | + | 0.266292i | |||||
4.89780 | − | 8.48323i | 0.159494 | − | 0.276252i | |||||
25.1705 | 0.819231 | |||||||||
−1.50453 | + | 0.575585i | −0.0489424 | + | 0.0187238i | |||||
11.9172 | 0.387463 | |||||||||
−17.9455 | + | 31.0826i | −0.583152 | + | 1.01005i | 0.411951 | + | 0.911206i | ||
−0.995103 | + | 0.0988427i | ||||||||
17.1778 | + | 29.7528i | 0.557908 | + | 0.966325i | |||||
1.06776 | + | 1.84941i | 0.0346609 | + | 0.0600345i | |||||
−5.20119 | + | 9.00872i | −0.168749 | + | 0.292281i | |||||
−3.60976 | −0.117055 | |||||||||
−1.33990 | + | 8.39834i | −0.0434265 | + | 0.272192i | |||||
−42.4876 | −1.37631 | −0.688154 | − | 0.725564i | ||||||
−0.688154 | + | 0.725564i | ||||||||
4.65684 | − | 8.06589i | 0.150771 | − | 0.261143i | |||||
1.06841 | + | 1.85054i | 0.0345729 | + | 0.0598820i | |||||
−17.8654 | − | 30.9437i | −0.577808 | − | 1.00079i | |||||
0.443271 | − | 0.767768i | 0.0143289 | − | 0.0248184i | |||||
−46.1903 | −1.49234 | |||||||||
−3.44854 | + | 21.6150i | −0.111359 | + | 0.697984i | |||||
−6.06256 | −0.195668 | |||||||||
−22.9880 | + | 39.8165i | −0.741550 | + | 1.28440i | |||||
17.3847 | + | 30.1112i | 0.560505 | + | 0.970823i | |||||
4.03634 | + | 6.99115i | 0.130069 | + | 0.225287i | |||||
12.7553 | − | 22.0928i | 0.410819 | − | 0.711560i | |||||
8.30609 | 0.267383 | |||||||||
−5.10295 | + | 1.95222i | −0.164185 | + | 0.0628117i | |||||
−50.9129 | −1.63725 | −0.818624 | − | 0.574330i | ||||||
−0.818624 | + | 0.574330i | ||||||||
−2.67187 | + | 4.62781i | −0.0858771 | + | 0.148744i | |||||
3.20227 | + | 5.54649i | 0.102872 | + | 0.178179i | |||||
10.7280 | + | 18.5814i | 0.344454 | + | 0.596612i | |||||
8.36861 | − | 14.4949i | 0.268561 | − | 0.465162i | −0.699929 | − | 0.714212i | ||
0.968491 | + | 0.249050i | ||||||||
−2.26446 | −0.0726327 | |||||||||
−5.09847 | − | 4.13822i | −0.163450 | − | 0.132665i | |||||
−86.4272 | −2.76931 | |||||||||
−4.27543 | + | 7.40527i | −0.136923 | + | 0.237158i | |||||
8.54990 | + | 14.8089i | 0.273676 | + | 0.474020i | |||||
−23.6865 | − | 41.0261i | −0.757797 | − | 1.31254i | −0.943972 | − | 0.330026i | ||
0.186175 | − | 0.982517i | ||||||||
22.4620 | − | 38.9053i | 0.718256 | − | 1.24406i | |||||
8.73310 | 0.279111 | |||||||||
−1.98522 | − | 9.44470i | −0.0634155 | − | 0.301700i | |||||
3.81163 | 0.121696 | |||||||||
16.7949 | − | 29.0896i | 0.535946 | − | 0.928285i | |||||
−17.6304 | − | 30.5368i | −0.562323 | − | 0.973972i | −0.997293 | − | 0.0735275i | ||
0.434970 | − | 0.900445i | ||||||||
2.67486 | + | 4.63299i | 0.0852714 | + | 0.147694i | |||||
−4.09914 | + | 7.09991i | −0.130609 | + | 0.226222i | |||||
9.77422 | 0.311275 | |||||||||
12.1381 | + | 9.85201i | 0.386361 | + | 0.313593i | |||||
4.55141 | 0.144800 | |||||||||
−2.61735 | + | 4.53338i | −0.0832268 | + | 0.144153i | |||||
0.693054 | + | 1.20040i | 0.0220267 | + | 0.0381514i | |||||
−8.45822 | − | 14.6501i | −0.268684 | − | 0.465375i | 0.699838 | − | 0.714302i | ||
−0.968522 | + | 0.248927i | ||||||||
−35.6024 | + | 61.6652i | −1.13038 | + | 1.95787i | |||||
−8.23405 | −0.261300 | |||||||||
21.9474 | − | 8.39634i | 0.696128 | − | 0.266316i | |||||
−8.70504 | −0.275968 | |||||||||
−12.1371 | + | 21.0221i | −0.384579 | + | 0.666110i | |||||
26.1823 | + | 45.3491i | 0.829203 | + | 1.43622i | 0.898664 | + | 0.438637i | ||
−0.0694611 | + | 0.997585i | ||||||||
−20.4699 | − | 35.4549i | −0.647963 | − | 1.12230i | |||||
4.55764 | − | 7.89406i | 0.144197 | − | 0.249757i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.i.h.415.9 | yes | 20 | |
7.2 | even | 3 | 3381.2.a.bi.1.2 | 10 | |||
7.4 | even | 3 | inner | 483.2.i.h.277.9 | ✓ | 20 | |
7.5 | odd | 6 | 3381.2.a.bj.1.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.i.h.277.9 | ✓ | 20 | 7.4 | even | 3 | inner | |
483.2.i.h.415.9 | yes | 20 | 1.1 | even | 1 | trivial | |
3381.2.a.bi.1.2 | 10 | 7.2 | even | 3 | |||
3381.2.a.bj.1.2 | 10 | 7.5 | odd | 6 |