Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(91,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 460.e (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: | |
Coefficient field: | 16.0.7465802011608416256.3 |
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 | 91.8 | ||
Root | of defining polynomial | ||
Character | 460.91 | ||
Dual form | 460.2.e.a.91.5 |
-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 .
−0.637910 | + | 1.26217i | −0.451071 | + | 0.892488i | |||||
− | 2.87247i | − | 1.65842i | −0.558936 | − | 0.829211i | ||||
0.558936 | − | 0.829211i | ||||||||
−1.18614 | − | 1.61030i | −0.593070 | − | 0.805151i | |||||
1.00000i | 0.447214i | |||||||||
3.62554 | + | 1.83238i | 1.48012 | + | 0.748065i | |||||
−2.68161 | −1.01355 | −0.506777 | − | 0.862077i | ||||||
−0.506777 | + | 0.862077i | ||||||||
2.78912 | − | 0.469882i | 0.986104 | − | 0.166128i | |||||
−5.25109 | −1.75036 | |||||||||
−1.26217 | − | 0.637910i | −0.399133 | − | 0.201725i | |||||
−4.89140 | −1.47481 | −0.737406 | − | 0.675449i | ||||||
−0.737406 | + | 0.675449i | ||||||||
−4.62554 | + | 3.40715i | −1.33528 | + | 0.983561i | |||||
0.727591 | 0.201797 | 0.100899 | − | 0.994897i | ||||||
0.100899 | + | 0.994897i | ||||||||
1.71063 | − | 3.38465i | 0.457185 | − | 0.904586i | |||||
2.87247 | 0.741669 | |||||||||
−1.18614 | + | 3.82009i | −0.296535 | + | 0.955022i | |||||
6.34755i | 1.53951i | 0.638342 | + | 0.769753i | ||||||
−0.638342 | + | 0.769753i | ||||||||
3.34972 | − | 6.62776i | 0.789537 | − | 1.56218i | |||||
2.68161 | 0.615204 | 0.307602 | − | 0.951515i | ||||||
0.307602 | + | 0.951515i | ||||||||
1.61030 | − | 1.18614i | 0.360074 | − | 0.265229i | |||||
7.70285i | 1.68090i | |||||||||
3.12027 | − | 6.17377i | 0.665245 | − | 1.31625i | |||||
2.20979 | + | 4.25639i | 0.460772 | + | 0.887518i | |||||
−1.34972 | − | 8.01167i | −0.275511 | − | 1.63538i | |||||
−1.00000 | −0.200000 | |||||||||
−0.464138 | + | 0.918342i | −0.0910249 | + | 0.180102i | |||||
6.46618i | 1.24442i | |||||||||
3.18077 | + | 4.31821i | 0.601109 | + | 0.816064i | |||||
−4.27582 | −0.794000 | −0.397000 | − | 0.917819i | ||||||
−0.397000 | + | 0.917819i | ||||||||
−1.83238 | + | 3.62554i | −0.334545 | + | 0.661930i | |||||
− | 6.13645i | − | 1.10214i | −0.834459 | − | 0.551070i | ||||
0.834459 | − | 0.551070i | ||||||||
−4.06494 | − | 3.93398i | −0.718587 | − | 0.695437i | |||||
14.0504i | 2.44586i | |||||||||
−8.01167 | − | 4.04917i | −1.37399 | − | 0.694426i | |||||
− | 2.68161i | − | 0.453275i | |||||||
6.22853 | + | 8.45583i | 1.03809 | + | 1.40930i | |||||
3.87539i | 0.637111i | 0.947904 | + | 0.318555i | ||||||
−0.947904 | + | 0.318555i | ||||||||
−1.71063 | + | 3.38465i | −0.277501 | + | 0.549063i | |||||
− | 2.08998i | − | 0.334665i | |||||||
0.469882 | + | 2.78912i | 0.0742949 | + | 0.440999i | |||||
−8.07172 | −1.26059 | −0.630296 | − | 0.776355i | ||||||
−0.630296 | + | 0.776355i | ||||||||
−9.72230 | − | 4.91373i | −1.50018 | − | 0.758205i | |||||
−11.1319 | −1.69761 | −0.848803 | − | 0.528709i | ||||||
−0.848803 | + | 0.528709i | ||||||||
5.80189 | + | 7.87663i | 0.874668 | + | 1.18745i | |||||
− | 5.25109i | − | 0.782786i | |||||||
−6.78193 | + | 0.0739292i | −0.999941 | + | 0.0109003i | |||||
9.80928i | 1.43083i | 0.698699 | + | 0.715416i | ||||||
−0.698699 | + | 0.715416i | ||||||||
10.9731 | + | 3.40715i | 1.58383 | + | 0.491780i | |||||
0.191051 | 0.0272930 | |||||||||
0.637910 | − | 1.26217i | 0.0902142 | − | 0.178498i | |||||
18.2331 | 2.55315 | |||||||||
−0.863025 | − | 1.17164i | −0.119680 | − | 0.162477i | |||||
− | 11.1565i | − | 1.53246i | −0.642565 | − | 0.766231i | ||||
0.642565 | − | 0.766231i | ||||||||
−8.16141 | − | 4.12484i | −1.11063 | − | 0.561320i | |||||
− | 4.89140i | − | 0.659556i | |||||||
−7.47935 | + | 1.26004i | −0.999470 | + | 0.168380i | |||||
− | 7.70285i | − | 1.02027i | |||||||
2.72759 | − | 5.39681i | 0.358150 | − | 0.708636i | |||||
1.87953i | 0.244694i | 0.992487 | + | 0.122347i | ||||||
−0.992487 | + | 0.122347i | ||||||||
−3.40715 | − | 4.62554i | −0.439862 | − | 0.597155i | |||||
− | 6.93356i | − | 0.887751i | −0.896088 | − | 0.443875i | ||||
0.896088 | − | 0.443875i | ||||||||
7.74524 | + | 3.91451i | 0.983646 | + | 0.497143i | |||||
14.0814 | 1.77409 | |||||||||
7.55842 | − | 2.62112i | 0.944803 | − | 0.327640i | |||||
0.727591i | 0.0902465i | |||||||||
−17.7340 | − | 8.96290i | −2.18290 | − | 1.10326i | |||||
−10.5224 | −1.28552 | −0.642761 | − | 0.766067i | ||||||
−0.642761 | + | 0.766067i | ||||||||
10.2215 | − | 7.52908i | 1.23953 | − | 0.913035i | |||||
12.2263 | − | 6.34755i | 1.47188 | − | 0.764155i | |||||
3.38465 | + | 1.71063i | 0.404543 | + | 0.204459i | |||||
− | 7.24866i | − | 0.860258i | −0.902767 | − | 0.430129i | ||||
0.902767 | − | 0.430129i | ||||||||
−14.6459 | + | 2.46739i | −1.72604 | + | 0.290785i | |||||
7.90882 | 0.925657 | 0.462829 | − | 0.886448i | ||||||
0.462829 | + | 0.886448i | ||||||||
−4.89140 | − | 2.47215i | −0.568614 | − | 0.287382i | |||||
2.87247i | 0.331684i | |||||||||
−3.18077 | − | 4.31821i | −0.364859 | − | 0.495332i | |||||
13.1168 | 1.49480 | |||||||||
2.63791 | + | 1.33322i | 0.298685 | + | 0.150958i | |||||
−3.67993 | −0.414024 | −0.207012 | − | 0.978338i | ||||||
−0.207012 | + | 0.978338i | ||||||||
−3.82009 | − | 1.18614i | −0.427099 | − | 0.132615i | |||||
2.82064 | 0.313404 | |||||||||
5.14904 | − | 10.1879i | 0.568616 | − | 1.12506i | |||||
4.75372 | 0.521789 | 0.260894 | − | 0.965367i | ||||||
0.260894 | + | 0.965367i | ||||||||
12.4039 | − | 9.13667i | 1.35338 | − | 0.996892i | |||||
−6.34755 | −0.688488 | |||||||||
7.10119 | − | 14.0504i | 0.765741 | − | 1.51509i | |||||
12.2822i | 1.31679i | |||||||||
−13.6427 | + | 2.29838i | −1.45432 | + | 0.245008i | |||||
8.12461i | 0.861207i | 0.902541 | + | 0.430603i | ||||||
−0.902541 | + | 0.430603i | ||||||||
6.62776 | + | 3.34972i | 0.698627 | + | 0.353092i | |||||
−1.95112 | −0.204533 | |||||||||
4.23295 | − | 8.60710i | 0.441316 | − | 0.897352i | |||||
−17.6268 | −1.82781 | |||||||||
−12.3810 | − | 6.25744i | −1.27700 | − | 0.645406i | |||||
2.68161i | 0.275128i | |||||||||
−11.3003 | + | 11.6764i | −1.15333 | + | 1.19172i | |||||
2.68434i | 0.272554i | 0.990671 | + | 0.136277i | ||||||
−0.990671 | + | 0.136277i | ||||||||
−0.121873 | + | 0.241138i | −0.0123111 | + | 0.0243587i | |||||
25.6852 | 2.58146 | |||||||||
1.18614 | + | 1.61030i | 0.118614 | + | 0.161030i | |||||
1.53860 | 0.153096 | 0.0765480 | − | 0.997066i | ||||||
0.0765480 | + | 0.997066i | ||||||||
−11.6311 | + | 23.0133i | −1.15165 | + | 2.27866i | |||||
−18.1121 | −1.78464 | −0.892321 | − | 0.451401i | ||||||
−0.892321 | + | 0.451401i | ||||||||
2.02934 | − | 0.341882i | 0.198993 | − | 0.0335243i | |||||
−7.70285 | −0.751722 | |||||||||
14.0814 | + | 7.11684i | 1.36770 | + | 0.691249i | |||||
11.1319 | 1.07617 | 0.538083 | − | 0.842892i | ||||||
0.538083 | + | 0.842892i | ||||||||
10.4125 | − | 7.66979i | 1.00194 | − | 0.738026i | |||||
− | 10.6447i | − | 1.01958i | −0.860300 | − | 0.509788i | ||||
0.860300 | − | 0.509788i | ||||||||
6.17377 | + | 3.12027i | 0.588646 | + | 0.297507i | |||||
11.1319 | 1.05660 | |||||||||
3.18077 | − | 10.2440i | 0.300555 | − | 0.967967i | |||||
5.41399i | 0.509305i | 0.967033 | + | 0.254653i | ||||||
−0.967033 | + | 0.254653i | ||||||||
9.72230 | + | 4.91373i | 0.910577 | + | 0.460213i | |||||
−4.25639 | + | 2.20979i | −0.396910 | + | 0.206064i | |||||
5.07172 | + | 6.88536i | 0.470898 | + | 0.639290i | |||||
−3.82064 | −0.353218 | |||||||||
−2.37228 | − | 1.19897i | −0.218386 | − | 0.110374i | |||||
− | 17.0217i | − | 1.56037i | |||||||
8.01167 | − | 1.34972i | 0.731362 | − | 0.123212i | |||||
12.9258 | 1.17507 | |||||||||
8.75132 | + | 4.42299i | 0.792307 | + | 0.400439i | |||||
23.1858i | 2.09059i | |||||||||
−9.88154 | + | 7.27870i | −0.887388 | + | 0.653646i | |||||
− | 1.00000i | − | 0.0894427i | |||||||
−8.98266 | + | 17.7731i | −0.800239 | + | 1.58335i | |||||
− | 3.05353i | − | 0.270957i | −0.990780 | − | 0.135478i | ||||
0.990780 | − | 0.135478i | ||||||||
−1.51330 | + | 11.2120i | −0.133758 | + | 0.991014i | |||||
31.9762i | 2.81535i | |||||||||
−0.918342 | − | 0.464138i | −0.0805439 | − | 0.0407076i | |||||
− | 3.09691i | − | 0.270578i | −0.990806 | − | 0.135289i | ||||
0.990806 | − | 0.135289i | ||||||||
22.6254 | − | 16.6658i | 1.96929 | − | 1.45057i | |||||
−7.19105 | −0.623543 | |||||||||
6.71238 | − | 13.2811i | 0.579861 | − | 1.14731i | |||||
−6.46618 | −0.556520 | |||||||||
2.98260 | + | 17.7041i | 0.255756 | + | 1.51811i | |||||
− | 5.92579i | − | 0.506275i | −0.967430 | − | 0.253137i | ||||
0.967430 | − | 0.253137i | ||||||||
0.212359 | + | 19.4809i | 0.0180772 | + | 1.65832i | |||||
− | 3.32470i | − | 0.281997i | −0.990010 | − | 0.140999i | ||||
0.990010 | − | 0.140999i | ||||||||
−4.31821 | + | 3.18077i | −0.364955 | + | 0.268824i | |||||
28.1769 | 2.37292 | |||||||||
9.14904 | + | 4.62400i | 0.767770 | + | 0.388037i | |||||
−3.55894 | −0.297613 | |||||||||
6.22853 | − | 20.0596i | 0.519044 | − | 1.67163i | |||||
− | 4.27582i | − | 0.355088i | |||||||
−5.04512 | + | 9.98227i | −0.417537 | + | 0.826138i | |||||
− | 0.548788i | − | 0.0452633i | |||||||
6.24055 | − | 4.59676i | 0.512970 | − | 0.377851i | |||||
− | 14.4242i | − | 1.18168i | −0.806789 | − | 0.590839i | ||||
0.806789 | − | 0.590839i | ||||||||
−3.62554 | − | 1.83238i | −0.296024 | − | 0.149613i | |||||
− | 13.3082i | − | 1.08300i | −0.840700 | − | 0.541501i | ||||
0.840700 | − | 0.541501i | ||||||||
7.47935 | − | 1.26004i | 0.606656 | − | 0.102203i | |||||
− | 33.3315i | − | 2.69469i | |||||||
−8.36737 | + | 16.5557i | −0.674262 | + | 1.33409i | |||||
6.13645 | 0.492892 | |||||||||
−3.36550 | + | 2.47901i | −0.269456 | + | 0.198480i | |||||
3.66320i | 0.292356i | 0.989258 | + | 0.146178i | ||||||
−0.989258 | + | 0.146178i | ||||||||
2.34746 | − | 4.64469i | 0.186754 | − | 0.369512i | |||||
−32.0467 | −2.54147 | |||||||||
3.93398 | − | 4.06494i | 0.311009 | − | 0.321362i | |||||
−5.92579 | − | 11.4140i | −0.467018 | − | 0.899548i | |||||
−1.79932 | + | 3.56012i | −0.141368 | + | 0.279710i | |||||
16.6589i | 1.30483i | 0.757864 | + | 0.652413i | ||||||
−0.757864 | + | 0.652413i | ||||||||
9.57420 | + | 12.9979i | 0.747620 | + | 1.01497i | |||||
−14.0504 | −1.09382 | |||||||||
−3.03245 | + | 6.00000i | −0.235364 | + | 0.465690i | |||||
− | 1.87953i | − | 0.145442i | −0.997352 | − | 0.0727211i | ||||
0.997352 | − | 0.0727211i | ||||||||
3.61943 | + | 21.4842i | 0.279245 | + | 1.65754i | |||||
−12.4706 | −0.959278 | |||||||||
4.04917 | − | 8.01167i | 0.310557 | − | 0.614467i | |||||
−14.0814 | −1.07683 | |||||||||
13.2041 | + | 17.9258i | 1.00680 | + | 1.36683i | |||||
6.34755 | 0.482595 | 0.241297 | − | 0.970451i | ||||||
0.241297 | + | 0.970451i | ||||||||
−15.5022 | − | 7.83492i | −1.17522 | − | 0.593964i | |||||
2.68161 | 0.202711 | |||||||||
5.80189 | − | 18.6856i | 0.437334 | − | 1.40848i | |||||
5.39889 | 0.405805 | |||||||||
−10.2546 | − | 5.18277i | −0.768617 | − | 0.388465i | |||||
3.09691i | 0.231474i | 0.993280 | + | 0.115737i | ||||||
−0.993280 | + | 0.115737i | ||||||||
−8.45583 | + | 6.22853i | −0.630260 | + | 0.464247i | |||||
10.7610i | 0.799860i | 0.916546 | + | 0.399930i | ||||||
−0.916546 | + | 0.399930i | ||||||||
1.24464 | − | 2.46264i | 0.0922587 | − | 0.182543i | |||||
−19.9164 | −1.47227 | |||||||||
8.16337 | + | 10.8333i | 0.601811 | + | 0.798638i | |||||
−3.87539 | −0.284925 | |||||||||
11.2443 | − | 22.2480i | 0.824472 | − | 1.63130i | |||||
− | 31.0484i | − | 2.27048i | |||||||
15.7959 | − | 11.6352i | 1.15203 | − | 0.848584i | |||||
− | 17.3398i | − | 1.26128i | |||||||
−3.38465 | − | 1.71063i | −0.245548 | − | 0.124102i | |||||
−4.75372 | −0.343967 | −0.171984 | − | 0.985100i | ||||||
−0.171984 | + | 0.985100i | ||||||||
−7.52908 | − | 21.7113i | −0.543365 | − | 1.56688i | |||||
21.3640 | 1.53781 | 0.768907 | − | 0.639360i | ||||||
0.768907 | + | 0.639360i | ||||||||
−3.38809 | − | 1.71237i | −0.243251 | − | 0.122941i | |||||
2.08998 | 0.149667 | |||||||||
−0.226613 | − | 0.307650i | −0.0161867 | − | 0.0219750i | |||||
20.4988 | 1.46048 | 0.730238 | − | 0.683193i | ||||||
0.730238 | + | 0.683193i | ||||||||
−16.3848 | + | 32.4190i | −1.16442 | + | 2.30392i | |||||
−15.2762 | −1.08290 | −0.541449 | − | 0.840733i | ||||||
−0.541449 | + | 0.840733i | ||||||||
−2.78912 | + | 0.469882i | −0.197221 | + | 0.0332257i | |||||
30.2254i | 2.13194i | |||||||||
−0.981487 | + | 1.94197i | −0.0690572 | + | 0.136636i | |||||
11.4661 | 0.804762 | |||||||||
−21.6271 | − | 29.3608i | −1.51420 | − | 2.05567i | |||||
− | 8.07172i | − | 0.563754i | |||||||
11.5539 | − | 22.8606i | 0.805000 | − | 1.59277i | |||||
−11.6038 | − | 22.3507i | −0.806518 | − | 1.55348i | |||||
−0.863025 | + | 2.77946i | −0.0598400 | + | 0.192721i | |||||
−13.1168 | −0.907311 | |||||||||
4.91373 | − | 9.72230i | 0.339080 | − | 0.670903i | |||||
26.0740i | 1.79501i | 0.441008 | + | 0.897503i | ||||||
−0.441008 | + | 0.897503i | ||||||||
−17.9653 | + | 13.2332i | −1.23386 | + | 0.908858i | |||||
−20.8216 | −1.42667 | |||||||||
−7.10119 | + | 14.0504i | −0.485427 | + | 0.960466i | |||||
− | 11.1319i | − | 0.759193i | |||||||
3.03834 | + | 18.0350i | 0.206733 | + | 1.22712i | |||||
16.4556i | 1.11708i | |||||||||
13.4354 | + | 6.79036i | 0.909960 | + | 0.459901i | |||||
− | 22.7179i | − | 1.53513i | |||||||
−7.87663 | + | 5.80189i | −0.531042 | + | 0.391163i | |||||
4.61841i | 0.310668i | |||||||||
−7.10119 | + | 14.0504i | −0.476600 | + | 0.943001i | |||||
1.47929i | 0.0990606i | 0.998773 | + | 0.0495303i | ||||||
−0.998773 | + | 0.0495303i | ||||||||
10.9006 | + | 10.5494i | 0.728328 | + | 0.704863i | |||||
5.25109 | 0.350072 | |||||||||
−6.83337 | − | 3.45364i | −0.454549 | − | 0.229733i | |||||
2.20064 | 0.146062 | 0.0730308 | − | 0.997330i | ||||||
0.0730308 | + | 0.997330i | ||||||||
−12.4039 | + | 9.13667i | −0.821469 | + | 0.605091i | |||||
− | 17.4140i | − | 1.15075i | −0.817890 | − | 0.575374i | ||||
0.817890 | − | 0.575374i | ||||||||
−0.0739292 | − | 6.78193i | −0.00487475 | − | 0.447187i | |||||
− | 37.6777i | − | 2.47901i | |||||||
−11.9258 | + | 2.00913i | −0.782967 | + | 0.131906i | |||||
−26.7931 | −1.75527 | −0.877637 | − | 0.479326i | ||||||
−0.877637 | + | 0.479326i | ||||||||
2.43723 | − | 4.82229i | 0.159326 | − | 0.315243i | |||||
−9.80928 | −0.639887 | |||||||||
3.02661 | − | 2.22938i | 0.197015 | − | 0.145121i | |||||
10.5705i | 0.686627i | |||||||||
21.4842 | + | 10.8583i | 1.39261 | + | 0.703839i | |||||
23.5866i | 1.52569i | 0.646583 | + | 0.762844i | ||||||
−0.646583 | + | 0.762844i | ||||||||
−3.40715 | + | 10.9731i | −0.219931 | + | 0.708310i | |||||
0.212188i | 0.0136683i | 0.999977 | + | 0.00683413i | ||||||
−0.999977 | + | 0.00683413i | ||||||||
−8.24550 | + | 16.3145i | −0.530041 | + | 1.04874i | |||||
11.2963i | 0.724659i | |||||||||
−11.1651 | + | 8.22417i | −0.714773 | + | 0.526499i | |||||
0.191051i | 0.0122058i | |||||||||
−29.2644 | − | 14.7905i | −1.86583 | − | 0.943005i | |||||
1.95112 | 0.124147 | |||||||||
−2.88341 | − | 17.1153i | −0.183097 | − | 1.08682i | |||||
− | 13.6549i | − | 0.865346i | |||||||
1.26217 | + | 0.637910i | 0.0798266 | + | 0.0403450i | |||||
−11.1153 | −0.701589 | −0.350795 | − | 0.936452i | ||||||
−0.350795 | + | 0.936452i | ||||||||
−16.7025 | − | 22.6753i | −1.05216 | − | 1.42841i | |||||
−10.8089 | − | 20.8197i | −0.679553 | − | 1.30892i | |||||
3.85407 | + | 1.94788i | 0.241826 | + | 0.122221i | |||||
18.2331i | 1.14180i | |||||||||
−13.1861 | − | 9.06232i | −0.824134 | − | 0.566395i | |||||
1.25450 | 0.0782533 | 0.0391267 | − | 0.999234i | ||||||
0.0391267 | + | 0.999234i | ||||||||
−40.3594 | − | 20.3979i | −2.51266 | − | 1.26992i | |||||
− | 10.3923i | − | 0.645746i | |||||||
1.17164 | − | 0.863025i | 0.0726620 | − | 0.0535225i | |||||
22.4527 | 1.38979 | |||||||||
3.90882 | + | 1.97555i | 0.241488 | + | 0.122050i | |||||
−25.6760 | −1.58325 | −0.791625 | − | 0.611007i | ||||||
−0.791625 | + | 0.611007i | ||||||||
6.60203 | + | 39.1883i | 0.406327 | + | 2.41187i | |||||
11.1565 | 0.685338 | |||||||||
4.58725 | − | 9.07632i | 0.281262 | − | 0.556505i | |||||
23.3377 | 1.42824 | |||||||||
12.4811 | + | 16.9443i | 0.762404 | + | 1.03504i | |||||
20.4193 | 1.24498 | 0.622492 | − | 0.782626i | ||||||
0.622492 | + | 0.782626i | ||||||||
4.12484 | − | 8.16141i | 0.251030 | − | 0.496687i | |||||
− | 3.08711i | − | 0.187529i | −0.995594 | − | 0.0937643i | ||||
0.995594 | − | 0.0937643i | ||||||||
−24.2482 | − | 7.52908i | −1.47026 | − | 0.456518i | |||||
5.60452i | 0.339201i | |||||||||
7.47935 | + | 3.78012i | 0.451844 | + | 0.228366i | |||||
4.89140 | 0.294963 | |||||||||
−24.7236 | − | 12.1590i | −1.48819 | − | 0.731887i | |||||
2.96451 | 0.178120 | 0.0890602 | − | 0.996026i | ||||||
0.0890602 | + | 0.996026i | ||||||||
4.19633 | + | 2.12086i | 0.251679 | + | 0.127201i | |||||
32.2230i | 1.92914i | |||||||||
−1.26004 | − | 7.47935i | −0.0753019 | − | 0.446977i | |||||
− | 8.93603i | − | 0.533079i | −0.963824 | − | 0.266539i | ||||
0.963824 | − | 0.266539i | ||||||||
−17.9743 | + | 35.5640i | −1.07036 | + | 2.11780i | |||||
17.2348 | 1.02450 | 0.512252 | − | 0.858835i | ||||||
0.512252 | + | 0.858835i | ||||||||
−11.6725 | + | 8.59793i | −0.692637 | + | 0.510194i | |||||
7.70285 | 0.456278 | |||||||||
2.27028 | − | 4.49198i | 0.134245 | − | 0.265616i | |||||
21.6452 | 1.27768 | |||||||||
21.3454 | + | 20.6577i | 1.25779 | + | 1.21727i | |||||
−23.2913 | −1.37008 | |||||||||
5.39681 | + | 2.72759i | 0.316911 | + | 0.160170i | |||||
7.71069 | 0.452009 | |||||||||
−9.38097 | − | 12.7356i | −0.548980 | − | 0.745294i | |||||
20.3500i | 1.18886i | 0.804147 | + | 0.594430i | ||||||
−0.804147 | + | 0.594430i | ||||||||
0.692663 | + | 0.350078i | 0.0403969 | + | 0.0204169i | |||||
−1.87953 | −0.109430 | |||||||||
1.82098 | + | 10.8089i | 0.105842 | + | 0.628257i | |||||
− | 31.6286i | − | 1.83528i | |||||||
18.2058 | + | 9.20136i | 1.05463 | + | 0.533021i | |||||
1.60782 | + | 3.09691i | 0.0929826 | + | 0.179099i | |||||
4.62554 | − | 3.40715i | 0.267056 | − | 0.196712i | |||||
29.8516 | 1.72062 | |||||||||
16.7971 | + | 8.48941i | 0.966567 | + | 0.488511i | |||||
− | 4.41957i | − | 0.253898i | |||||||
−3.18077 | + | 10.2440i | −0.182430 | + | 0.587534i | |||||
6.93356 | 0.397014 | |||||||||
42.0700 | + | 21.2625i | 2.40498 | + | 1.21550i | |||||
− | 32.9240i | − | 1.87907i | −0.342449 | − | 0.939537i | ||||
0.342449 | − | 0.939537i | ||||||||
−15.5584 | − | 21.1221i | −0.886523 | − | 1.20354i | |||||
52.0266i | 2.95969i | |||||||||
−3.91451 | + | 7.74524i | −0.222329 | + | 0.439900i | |||||
31.6677i | 1.79571i | 0.440291 | + | 0.897855i | ||||||
−0.440291 | + | 0.897855i | ||||||||
−0.982045 | − | 5.82922i | −0.0555973 | − | 0.330015i | |||||
5.92579i | 0.334946i | 0.985877 | + | 0.167473i | ||||||
−0.985877 | + | 0.167473i | ||||||||
−4.62358 | − | 2.33680i | −0.260924 | − | 0.131873i | |||||
14.0814i | 0.793396i | |||||||||
4.36491 | + | 5.92579i | 0.245546 | + | 0.333352i | |||||
14.3079 | 0.803611 | 0.401806 | − | 0.915725i | ||||||
0.401806 | + | 0.915725i | ||||||||
20.4429 | − | 40.4483i | 1.14638 | − | 2.26823i | |||||
20.9147 | 1.17100 | |||||||||
2.62112 | + | 7.55842i | 0.146525 | + | 0.422529i | |||||
− | 31.9762i | − | 1.78474i | |||||||
18.1865 | − | 0.198249i | 1.01349 | − | 0.0110480i | |||||
17.0217i | 0.947111i | |||||||||
−3.34568 | − | 4.54208i | −0.185871 | − | 0.252338i | |||||
−0.727591 | −0.0403595 | |||||||||
−21.0263 | − | 10.6269i | −1.16454 | − | 0.588569i | |||||
−30.5766 | −1.69089 | |||||||||
−22.5130 | + | 3.79276i | −1.24307 | + | 0.209420i | |||||
− | 26.3047i | − | 1.45023i | |||||||
8.96290 | − | 17.7340i | 0.493391 | − | 0.976223i | |||||
15.1629i | 0.833430i | 0.909037 | + | 0.416715i | ||||||
−0.909037 | + | 0.416715i | ||||||||
−5.63858 | − | 7.65492i | −0.309457 | − | 0.420119i | |||||
− | 20.3500i | − | 1.11517i | |||||||
2.37228 | + | 1.19897i | 0.129805 | + | 0.0656047i | |||||
− | 10.5224i | − | 0.574903i | |||||||
−29.4256 | − | 9.13667i | −1.60530 | − | 0.498446i | |||||
− | 11.5520i | − | 0.629276i | −0.949212 | − | 0.314638i | ||||
0.949212 | − | 0.314638i | ||||||||
7.95513 | − | 15.7400i | 0.432702 | − | 0.856144i | |||||
15.5515 | 0.844643 | |||||||||
7.52908 | + | 10.2215i | 0.408322 | + | 0.554337i | |||||
30.0158i | 1.62545i | |||||||||
8.98266 | − | 17.7731i | 0.485727 | − | 0.961058i | |||||
18.2590 | 0.985892 | |||||||||
−31.0484 | + | 5.23070i | −1.67402 | + | 0.282021i | |||||
6.34755 | + | 12.2263i | 0.341740 | + | 0.658245i | |||||
−4.04917 | + | 8.01167i | −0.217684 | + | 0.430710i | |||||
3.94249i | 0.211644i | 0.994385 | + | 0.105822i | ||||||
−0.994385 | + | 0.105822i | ||||||||
19.7780 | − | 14.5684i | 1.06021 | − | 0.780947i | |||||
−14.2826 | −0.764532 | −0.382266 | − | 0.924052i | ||||||
−0.382266 | + | 0.924052i | ||||||||
−1.71063 | + | 3.38465i | −0.0914370 | + | 0.180917i | |||||
4.70473i | 0.251120i | |||||||||
19.8833 | + | 19.2427i | 1.05978 | + | 1.02564i | |||||
−24.2520 | −1.29080 | −0.645402 | − | 0.763843i | ||||||
−0.645402 | + | 0.763843i | ||||||||
−3.44401 | + | 6.81431i | −0.183047 | + | 0.362176i | |||||
7.24866 | 0.384719 | |||||||||
13.0831 | − | 9.63693i | 0.693401 | − | 0.510756i | |||||
−48.8942 | −2.58776 | |||||||||
−3.90882 | − | 1.97555i | −0.206588 | − | 0.104411i | |||||
35.2093 | 1.85828 | 0.929138 | − | 0.369734i | ||||||
0.929138 | + | 0.369734i | ||||||||
−2.46739 | − | 14.6459i | −0.130043 | − | 0.771908i | |||||
−11.8089 | −0.621524 | |||||||||
−13.5822 | − | 6.86457i | −0.713866 | − | 0.360794i | |||||
− | 37.1290i | − | 1.94876i | |||||||
2.31430 | + | 3.14189i | 0.121302 | + | 0.164680i | |||||
7.90882i | 0.413967i | |||||||||
12.7049 | − | 25.1379i | 0.664096 | − | 1.31398i | |||||
4.51174 | 0.235511 | 0.117755 | − | 0.993043i | ||||||
0.117755 | + | 0.993043i | ||||||||
−18.8809 | + | 3.39290i | −0.984235 | + | 0.176867i | |||||
42.3853 | 2.20649 | |||||||||
2.47215 | − | 4.89140i | 0.128521 | − | 0.254292i | |||||
29.9174i | 1.55323i | |||||||||
20.9078 | + | 28.3844i | 1.08402 | + | 1.47166i | |||||
1.05569i | 0.0546617i | 0.999626 | + | 0.0273309i | ||||||
−0.999626 | + | 0.0273309i | ||||||||
39.1883 | + | 19.8061i | 2.02638 | + | 1.02415i | |||||
−2.87247 | −0.148334 | |||||||||
4.60921 | + | 27.3593i | 0.237702 | + | 1.41095i | |||||
−3.11105 | −0.160227 | |||||||||
21.8857 | + | 11.0612i | 1.12568 | + | 0.568928i | |||||
6.48253 | 0.332985 | 0.166493 | − | 0.986043i | ||||||
0.166493 | + | 0.986043i | ||||||||
4.31821 | − | 3.18077i | 0.221519 | − | 0.163170i | |||||
−8.77117 | −0.449361 | |||||||||
3.03245 | − | 6.00000i | 0.155154 | − | 0.306987i | |||||
−1.34915 | −0.0689383 | −0.0344692 | − | 0.999406i | ||||||
−0.0344692 | + | 0.999406i | ||||||||
32.2063 | + | 4.34692i | 1.64352 | + | 0.221828i | |||||
13.1168i | 0.668496i | |||||||||
−13.6283 | + | 26.9650i | −0.693663 | + | 1.37248i | |||||
58.4548 | 2.97143 | |||||||||
4.32260 | − | 3.18401i | 0.219447 | − | 0.161643i | |||||
10.3846i | 0.526519i | 0.964725 | + | 0.263259i | ||||||
−0.964725 | + | 0.263259i | ||||||||
−1.33322 | + | 2.63791i | −0.0675103 | + | 0.133576i | |||||
−27.0176 | + | 14.0267i | −1.36634 | + | 0.709362i | |||||
0.532865 | − | 0.0897714i | 0.0269137 | − | 0.00453414i | |||||
−8.89578 | −0.448733 | |||||||||
−13.0764 | + | 25.8729i | −0.658778 | + | 1.30346i | |||||
− | 3.67993i | − | 0.185157i | |||||||
−30.4662 | − | 41.3608i | −1.53098 | − | 2.07846i | |||||
−23.4623 | −1.17754 | −0.588770 | − | 0.808300i | ||||||
−0.588770 | + | 0.808300i | ||||||||
9.74483 | − | 19.2811i | 0.488464 | − | 0.966474i | |||||
20.6561i | 1.03410i | |||||||||
1.18614 | − | 3.82009i | 0.0593070 | − | 0.191004i | |||||
26.3500i | 1.31586i | 0.753080 | + | 0.657929i | ||||||
−0.753080 | + | 0.657929i | ||||||||
−38.1496 | − | 19.2811i | −1.90273 | − | 0.961654i | |||||
− | 4.46482i | − | 0.222409i | |||||||
−1.82499 | − | 2.47760i | −0.0907967 | − | 0.123265i | |||||
2.82064i | 0.140159i | |||||||||
−7.31434 | + | 14.4722i | −0.363005 | + | 0.718241i | |||||
− | 18.9561i | − | 0.939619i | |||||||
50.8545 | − | 8.56742i | 2.51767 | − | 0.424151i | |||||
18.3538 | 0.907535 | 0.453768 | − | 0.891120i | ||||||
0.453768 | + | 0.891120i | ||||||||
10.1879 | + | 5.14904i | 0.503144 | + | 0.254293i | |||||
−17.0217 | −0.839617 | |||||||||
21.4836 | + | 29.1660i | 1.05842 | + | 1.43691i | |||||
− | 5.04017i | − | 0.248010i | |||||||
35.6125 | − | 0.388208i | 1.75026 | − | 0.0190794i | |||||
4.75372i | 0.233351i | |||||||||
−2.95762 | − | 2.86233i | −0.145009 | − | 0.140337i | |||||
−9.55010 | −0.467670 | |||||||||
8.36737 | − | 16.5557i | 0.409261 | − | 0.809764i | |||||
−20.3386 | −0.993606 | −0.496803 | − | 0.867863i | ||||||
−0.496803 | + | 0.867863i | ||||||||
9.13667 | + | 12.4039i | 0.445824 | + | 0.605249i | |||||
− | 9.22242i | − | 0.449473i | −0.974420 | − | 0.224737i | ||||
0.974420 | − | 0.224737i | ||||||||
−32.9098 | − | 16.6329i | −1.60202 | − | 0.809675i | |||||
− | 51.5094i | − | 2.50447i | |||||||
−5.24224 | − | 31.1168i | −0.254585 | − | 1.51117i | |||||
− | 6.34755i | − | 0.307901i | |||||||
13.2823 | − | 26.2803i | 0.643529 | − | 1.27329i | |||||
18.5931i | 0.899784i | |||||||||
−13.2041 | − | 17.9258i | −0.638242 | − | 0.866476i | |||||
10.2229i | 0.493568i | |||||||||
14.0504 | + | 7.10119i | 0.677570 | + | 0.342450i | |||||
10.2805 | 0.495192 | 0.247596 | − | 0.968863i | ||||||
0.247596 | + | 0.968863i | ||||||||
−24.7014 | − | 7.66979i | −1.18844 | − | 0.369013i | |||||
17.8095i | 0.855868i | 0.903810 | + | 0.427934i | ||||||
−0.903810 | + | 0.427934i | ||||||||
−20.7697 | − | 10.4972i | −0.996979 | − | 0.503881i | |||||
−12.2822 | −0.588885 | |||||||||
−17.1412 | + | 12.6261i | −0.820913 | + | 0.604681i | |||||
5.92579 | + | 11.4140i | 0.283469 | + | 0.546005i | |||||
28.6738 | + | 14.4920i | 1.37009 | + | 0.692452i | |||||
− | 14.9756i | − | 0.714746i | −0.933962 | − | 0.357373i | ||||
0.933962 | − | 0.357373i | ||||||||
−2.29838 | − | 13.6427i | −0.109571 | − | 0.650391i | |||||
−1.00322 | −0.0477726 | |||||||||
−5.82922 | − | 2.94613i | −0.277268 | − | 0.140133i | |||||
− | 14.0082i | − | 0.665548i | −0.943007 | − | 0.332774i | ||||
0.943007 | − | 0.332774i | ||||||||
−13.2041 | − | 17.9258i | −0.626637 | − | 0.850720i | |||||
−8.12461 | −0.385143 | |||||||||
−1.86711 | − | 0.943654i | −0.0884104 | − | 0.0446833i | |||||
−41.4332 | −1.95972 | |||||||||
−20.2688 | + | 7.02882i | −0.957609 | + | 0.332081i | |||||
−28.3872 | −1.33967 | −0.669837 | − | 0.742508i | ||||||
−0.669837 | + | 0.742508i | ||||||||
−3.34972 | + | 6.62776i | −0.157907 | + | 0.312435i | |||||
39.4820 | 1.85914 | |||||||||
8.71815 | − | 6.42175i | 0.410067 | − | 0.302054i | |||||
−38.2273 | −1.79607 | |||||||||
−1.40381 | + | 2.77758i | −0.0658841 | + | 0.130358i | |||||
− | 1.95112i | − | 0.0914698i | |||||||
−3.61943 | − | 21.4842i | −0.169495 | − | 1.00609i | |||||
− | 35.6394i | − | 1.66714i | −0.552413 | − | 0.833570i | ||||
0.552413 | − | 0.833570i | ||||||||
21.9794 | + | 11.1086i | 1.02703 | + | 0.519069i | |||||
−41.0443 | −1.91579 | |||||||||
8.60710 | + | 4.23295i | 0.401308 | + | 0.197362i | |||||
−1.09286 | −0.0508997 | −0.0254498 | − | 0.999676i | ||||||
−0.0254498 | + | 0.999676i | ||||||||
47.5557 | + | 24.0350i | 2.21249 | + | 1.11821i | |||||
− | 20.3766i | − | 0.946980i | −0.880799 | − | 0.473490i | ||||
0.880799 | − | 0.473490i | ||||||||
5.07172 | − | 16.3340i | 0.235449 | − | 0.758287i | |||||
− | 17.6268i | − | 0.817422i | |||||||
17.0916 | − | 33.8174i | 0.791753 | − | 1.56656i | |||||
−30.8277 | −1.42654 | −0.713268 | − | 0.700892i | ||||||
−0.713268 | + | 0.700892i | ||||||||
4.53182 | + | 6.15238i | 0.209483 | + | 0.284394i | |||||
28.2171 | 1.30295 | |||||||||
6.25744 | − | 12.3810i | 0.288634 | − | 0.571092i | |||||
10.5224 | 0.484849 | |||||||||
0.883156 | + | 5.24224i | 0.0406506 | + | 0.241293i | |||||
54.4508 | 2.50365 | |||||||||
−13.3417 | − | 6.74302i | −0.612806 | − | 0.309717i | |||||
−2.68161 | −0.123041 | |||||||||
−27.4100 | + | 20.1901i | −1.25634 | + | 0.925411i | |||||
58.5837i | 2.68236i | |||||||||
−29.7702 | − | 15.0461i | −1.36166 | − | 0.688193i | |||||
−14.5699 | −0.665715 | −0.332858 | − | 0.942977i | ||||||
−0.332858 | + | 0.942977i | ||||||||
−11.6764 | − | 11.3003i | −0.532954 | − | 0.515784i | |||||
2.81970i | 0.128567i | |||||||||
−0.267818 | − | 0.135357i | −0.0121988 | − | 0.00616535i | |||||
−32.7863 | + | 17.0217i | −1.49183 | + | 0.774513i | |||||
−15.3318 | − | 20.8144i | −0.696900 | − | 0.946110i | |||||
−2.68434 | −0.121890 | |||||||||
−14.2579 | − | 7.20604i | −0.646750 | − | 0.326873i | |||||
2.18374i | 0.0989549i | 0.998775 | + | 0.0494774i | ||||||
−0.998775 | + | 0.0494774i | ||||||||
−3.25795 | − | 19.3385i | −0.147481 | − | 0.875415i | |||||
47.8522 | 2.16395 | |||||||||
−0.241138 | − | 0.121873i | −0.0108935 | − | 0.00550568i | |||||
− | 7.55568i | − | 0.340983i | −0.985359 | − | 0.170491i | ||||
0.985359 | − | 0.170491i | ||||||||
37.3361 | − | 27.5016i | 1.68324 | − | 1.23987i | |||||
− | 27.1410i | − | 1.22237i | |||||||
−1.24464 | + | 2.46264i | −0.0559989 | + | 0.110799i | |||||
25.6852i | 1.15446i | |||||||||
23.4418 | + | 7.27870i | 1.05257 | + | 0.326823i | |||||
19.4381i | 0.871919i | |||||||||
17.2348 | + | 8.71062i | 0.772311 | + | 0.390332i | |||||
10.0079i | 0.448015i | 0.974587 | + | 0.224007i | ||||||
−0.974587 | + | 0.224007i | ||||||||
−1.61030 | + | 1.18614i | −0.0720149 | + | 0.0530458i | |||||
−5.39889 | −0.241204 | |||||||||
7.09054 | − | 14.0293i | 0.316466 | − | 0.626160i | |||||
32.7697 | 1.46113 | 0.730563 | − | 0.682845i | ||||||
0.730563 | + | 0.682845i | ||||||||
39.2747 | − | 6.61659i | 1.74943 | − | 0.294726i | |||||
1.53860i | 0.0684666i | |||||||||
33.1731 | − | 0.361617i | 1.47472 | − | 0.0160758i | |||||
35.8215i | 1.59089i | |||||||||
−4.91710 | + | 3.62191i | −0.218161 | + | 0.160696i | |||||
−4.89723 | −0.217066 | −0.108533 | − | 0.994093i | ||||||
−0.108533 | + | 0.994093i | ||||||||
−23.0133 | − | 11.6311i | −1.01905 | − | 0.515034i | |||||
−21.2084 | −0.938204 | |||||||||
19.8498 | − | 10.8622i | 0.877244 | − | 0.480045i | |||||
17.3398i | 0.765570i | |||||||||
−0.800256 | + | 1.58339i | −0.0352978 | + | 0.0698402i | |||||
− | 18.1121i | − | 0.798116i | |||||||
51.4913 | − | 37.9283i | 2.26678 | − | 1.66970i | |||||
− | 47.9811i | − | 2.11021i | |||||||
13.1168 | + | 6.62936i | 0.576321 | + | 0.291277i | |||||
− | 18.2331i | − | 0.800346i | |||||||
0.341882 | + | 2.02934i | 0.0149925 | + | 0.0889924i | |||||
− | 31.5065i | − | 1.38033i | −0.723654 | − | 0.690163i | ||||
0.723654 | − | 0.690163i | ||||||||
−14.3228 | + | 28.3391i | −0.626892 | + | 1.24037i | |||||
−29.1444 | −1.27440 | −0.637198 | − | 0.770700i | ||||||
−0.637198 | + | 0.770700i | ||||||||
−4.98696 | + | 3.67337i | −0.217856 | + | 0.160472i | |||||
− | 7.70285i | − | 0.336180i | |||||||
16.3790 | − | 32.4075i | 0.714158 | − | 1.41303i | |||||
38.9514 | 1.69675 | |||||||||
−53.6738 | − | 16.6658i | −2.33585 | − | 0.725284i | |||||
−13.2337 | + | 18.8114i | −0.575378 | + | 0.817888i | |||||
−7.11684 | + | 14.0814i | −0.309136 | + | 0.611656i | |||||
− | 9.86956i | − | 0.428302i | |||||||
8.52960 | + | 11.5798i | 0.369805 | + | 0.502046i | |||||
−5.87291 | −0.254384 | |||||||||
−14.8874 | + | 29.4561i | −0.644239 | + | 1.27469i | |||||
11.1319i | 0.481276i | |||||||||
−29.3484 | + | 4.94431i | −1.26766 | + | 0.213562i | |||||
8.89578 | 0.383881 | |||||||||
−13.0257 | + | 25.7726i | −0.561576 | + | 1.11113i | |||||
−0.934506 | −0.0402520 | |||||||||
7.66979 | + | 10.4125i | 0.330055 | + | 0.448082i | |||||
10.0459 | 0.431906 | 0.215953 | − | 0.976404i | ||||||
0.215953 | + | 0.976404i | ||||||||
3.89645 | + | 1.96930i | 0.167367 | + | 0.0845886i | |||||
30.9107 | 1.32651 | |||||||||
24.9711 | − | 25.8024i | 1.07063 | − | 1.10627i | |||||
10.6447 | 0.455968 | |||||||||
−7.07386 | − | 3.57518i | −0.302733 | − | 0.153004i | |||||
40.9194i | 1.74959i | 0.484495 | + | 0.874794i | ||||||
−0.484495 | + | 0.874794i | ||||||||
−9.54231 | + | 7.02882i | −0.407627 | + | 0.300256i | |||||
36.4087i | 1.55389i | |||||||||
−3.12027 | + | 6.17377i | −0.133049 | + | 0.263251i | |||||
−11.4661 | −0.488472 | |||||||||
31.1182 | − | 23.4490i | 1.32448 | − | 0.998057i | |||||
9.86814 | 0.419636 | |||||||||
−1.89109 | + | 3.74172i | −0.0803449 | + | 0.158970i | |||||
11.1319i | 0.472525i | |||||||||
−5.35377 | + | 3.94356i | −0.227050 | + | 0.167244i | |||||
− | 5.20180i | − | 0.220407i | −0.993909 | − | 0.110204i | ||||
0.993909 | − | 0.110204i | ||||||||
−40.6709 | − | 20.5554i | −1.72174 | − | 0.870180i | |||||
−8.09950 | −0.342572 | |||||||||
10.2440 | + | 3.18077i | 0.432888 | + | 0.134412i | |||||
−89.1856 | −3.76542 | |||||||||
11.2788 | + | 5.70038i | 0.475766 | + | 0.240456i | |||||
22.2639 | 0.938311 | 0.469156 | − | 0.883115i | ||||||
0.469156 | + | 0.883115i | ||||||||
−33.4217 | − | 45.3733i | −1.40731 | − | 1.91056i | |||||
−5.41399 | −0.227768 | |||||||||
−10.9943 | + | 21.7533i | −0.462124 | + | 0.914358i | |||||
−7.56387 | −0.317652 | |||||||||
−3.40602 | − | 20.2174i | −0.142913 | − | 0.848304i | |||||
33.1614i | 1.39020i | 0.718913 | + | 0.695100i | ||||||
−0.718913 | + | 0.695100i | ||||||||
−4.91373 | + | 9.72230i | −0.205814 | + | 0.407222i | |||||
−3.20810 | −0.134255 | −0.0671274 | − | 0.997744i | ||||||
−0.0671274 | + | 0.997744i | ||||||||
4.22140 | + | 5.73096i | 0.176506 | + | 0.239623i | |||||
13.6549i | 0.570443i | |||||||||
−13.8077 | + | 27.3200i | −0.576323 | + | 1.14031i | |||||
−2.20979 | − | 4.25639i | −0.0921545 | − | 0.177504i | |||||
−39.6899 | + | 13.7637i | −1.65375 | + | 0.573488i | |||||
12.3249 | 0.513091 | 0.256545 | − | 0.966532i | ||||||
0.256545 | + | 0.966532i | ||||||||
14.8578 | − | 29.3976i | 0.618002 | − | 1.22278i | |||||
− | 61.3675i | − | 2.55034i | |||||||
−6.88536 | + | 5.07172i | −0.285899 | + | 0.210592i | |||||
−12.7476 | −0.528861 | |||||||||
−4.91873 | + | 9.73219i | −0.203888 | + | 0.403412i | |||||
54.5709i | 2.26009i | |||||||||
22.0587 | − | 3.71621i | 0.912795 | − | 0.153778i | |||||
− | 3.82064i | − | 0.157964i | |||||||
−25.6852 | − | 12.9815i | −1.06104 | − | 0.536260i | |||||
− | 8.83980i | − | 0.364857i | −0.983219 | − | 0.182429i | ||||
0.983219 | − | 0.182429i | ||||||||
−0.883714 | + | 0.650940i | −0.0364438 | + | 0.0268443i | |||||
− | 16.4556i | − | 0.678041i | |||||||
1.19897 | − | 2.37228i | 0.0493608 | − | 0.0976653i | |||||
− | 58.8821i | − | 2.42208i | |||||||
−14.8043 | − | 4.59676i | −0.608455 | − | 0.188926i | |||||
2.38210 | 0.0978212 | 0.0489106 | − | 0.998803i | ||||||
0.0489106 | + | 0.998803i | ||||||||
39.9207 | + | 20.1762i | 1.63797 | + | 0.827841i | |||||
17.0217 | 0.697820 | |||||||||
−23.2273 | + | 17.1092i | −0.951429 | + | 0.700818i | |||||
43.8803i | 1.79590i | |||||||||
−4.93447 | + | 0.0537902i | −0.201785 | + | 0.00219964i | |||||
− | 8.38036i | − | 0.342412i | −0.985235 | − | 0.171206i | ||||
0.985235 | − | 0.171206i | ||||||||
1.34972 | + | 8.01167i | 0.0551022 | + | 0.327075i | |||||
29.2981 | 1.19509 | 0.597547 | − | 0.801834i | ||||||
0.597547 | + | 0.801834i | ||||||||
−19.0426 | + | 37.6777i | −0.776120 | + | 1.53563i | |||||
55.2543 | 2.25013 | |||||||||
−21.4301 | + | 15.7853i | −0.871980 | + | 0.642297i | |||||
12.9258i | 0.525508i | |||||||||
5.57825 | + | 2.81929i | 0.226601 | + | 0.114526i | |||||
− | 6.58224i | − | 0.267165i | −0.991038 | − | 0.133582i | ||||
0.991038 | − | 0.133582i | ||||||||
−10.9006 | − | 10.5494i | −0.442078 | − | 0.427836i | |||||
− | 32.9360i | − | 1.33464i | |||||||
−4.42299 | + | 8.75132i | −0.179082 | + | 0.354331i | |||||
7.13714i | 0.288738i | |||||||||
−53.6738 | + | 39.5359i | −2.16963 | + | 1.59814i | |||||
31.7187i | 1.28111i | 0.767914 | + | 0.640553i | ||||||
−0.767914 | + | 0.640553i | ||||||||
41.5557 | + | 21.0026i | 1.67705 | + | 0.847595i | |||||
−23.1858 | −0.934941 | |||||||||
36.5845 | − | 6.16337i | 1.47403 | − | 0.248329i | |||||
41.9737i | 1.68980i | 0.534925 | + | 0.844899i | ||||||
−0.534925 | + | 0.844899i | ||||||||
−65.6663 | − | 33.1883i | −2.64149 | − | 1.33503i | |||||
40.4232 | 1.62474 | 0.812372 | − | 0.583139i | ||||||
0.812372 | + | 0.583139i | ||||||||
−7.27870 | − | 9.88154i | −0.292319 | − | 0.396852i | |||||
−27.5226 | + | 14.2889i | −1.10444 | + | 0.573392i | |||||
−39.9700 | − | 20.2011i | −1.60265 | − | 0.809992i | |||||
− | 21.7871i | − | 0.872880i | |||||||
7.98391 | + | 2.47901i | 0.319612 | + | 0.0992399i | |||||
1.00000 | 0.0400000 | |||||||||
−7.47935 | − | 3.78012i | −0.298935 | − | 0.151084i | |||||
37.6777i | 1.50470i | |||||||||
5.89886 | − | 4.34508i | 0.235390 | − | 0.173387i | |||||
−24.5992 | −0.980836 | |||||||||
−17.7731 | − | 8.98266i | −0.708096 | − | 0.357878i | |||||
3.27191 | 0.130253 | 0.0651263 | − | 0.997877i | ||||||
0.0651263 | + | 0.997877i | ||||||||
−10.2638 | + | 1.72913i | −0.408271 | + | 0.0687812i | |||||
74.8967 | 2.97688 | |||||||||
−9.12715 | + | 18.0590i | −0.362486 | + | 0.717214i | |||||
3.05353 | 0.121176 | |||||||||
38.0119 | + | 51.6048i | 1.50727 | + | 2.04627i | |||||
0.139007 | 0.00550765 | |||||||||
−13.3417 | + | 26.3979i | −0.528204 | + | 1.04510i | |||||
38.0633i | 1.50576i | |||||||||
−11.2120 | − | 1.51330i | −0.443195 | − | 0.0598185i | |||||
− | 2.70337i | − | 0.106777i | −0.998574 | − | 0.0533884i | ||||
0.998574 | − | 0.0533884i | ||||||||
40.3594 | + | 20.3979i | 1.59286 | + | 0.805043i | |||||
−3.81007 | −0.150254 | −0.0751272 | − | 0.997174i | ||||||
−0.0751272 | + | 0.997174i | ||||||||
−11.3511 | + | 23.0809i | −0.447297 | + | 0.909515i | |||||
−31.9762 | −1.25906 | |||||||||
−21.4842 | − | 10.8583i | −0.845285 | − | 0.427214i | |||||
5.11436i | 0.201066i | 0.994934 | + | 0.100533i | ||||||
−0.994934 | + | 0.100533i | ||||||||
7.86711 | − | 1.32537i | 0.309049 | − | 0.0520654i | |||||
− | 9.19352i | − | 0.360877i | |||||||
0.464138 | − | 0.918342i | 0.0182050 | − | 0.0360203i | |||||
47.2682 | 1.85259 | |||||||||
26.8258 | − | 19.7598i | 1.05058 | − | 0.773853i | |||||
−27.5197 | −1.07693 | −0.538465 | − | 0.842648i | ||||||
−0.538465 | + | 0.842648i | ||||||||
19.5051 | − | 38.5928i | 0.762710 | − | 1.50910i | |||||
3.09691 | 0.121006 | |||||||||
9.57420 | − | 30.8347i | 0.373810 | − | 1.20389i | |||||
−41.5299 | −1.62024 | |||||||||
33.2010 | + | 16.7800i | 1.29431 | + | 0.654154i | |||||
31.4372 | 1.22462 | 0.612310 | − | 0.790618i | ||||||
0.612310 | + | 0.790618i | ||||||||
16.6658 | + | 22.6254i | 0.648713 | + | 0.880692i | |||||
0.251685i | 0.00978943i | 0.999988 | + | 0.00489471i | ||||||
−0.999988 | + | 0.00489471i | ||||||||
−19.1382 | − | 9.67259i | −0.743826 | − | 0.375936i | |||||
13.2663 | 0.515219 | |||||||||
13.2587 | − | 2.23369i | 0.514538 | − | 0.0866839i | |||||
− | 7.19105i | − | 0.278857i | |||||||
25.6852 | + | 12.9815i | 0.995280 | + | 0.503022i | |||||
−9.44865 | − | 18.1996i | −0.365853 | − | 0.704690i | |||||
−3.02661 | + | 2.22938i | −0.117103 | + | 0.0862575i | |||||
4.24921 | 0.164284 | |||||||||
13.2811 | + | 6.71238i | 0.513094 | + | 0.259322i | |||||
33.9148i | 1.30927i | |||||||||
30.3029 | − | 31.3117i | 1.16896 | − | 1.20787i | |||||
−9.56375 | −0.368655 | −0.184328 | − | 0.982865i | ||||||
−0.184328 | + | 0.982865i | ||||||||
14.5805 | + | 7.36912i | 0.561621 | + | 0.283848i | |||||
− | 6.46618i | − | 0.248883i | |||||||
14.7919 | + | 20.0814i | 0.568919 | + | 0.772363i | |||||
− | 48.6951i | − | 1.87150i | −0.352658 | − | 0.935752i | ||||
0.352658 | − | 0.935752i | ||||||||
−9.92048 | + | 19.6286i | −0.380994 | + | 0.753834i | |||||
− | 7.19837i | − | 0.276248i | |||||||
−17.7041 | + | 2.98260i | −0.678921 | + | 0.114377i | |||||
− | 6.32127i | − | 0.242232i | |||||||
−37.8851 | − | 19.1474i | −1.45069 | − | 0.733193i | |||||
23.9040i | 0.914662i | 0.889297 | + | 0.457331i | ||||||
−0.889297 | + | 0.457331i | ||||||||
16.7025 | + | 22.6753i | 0.638636 | + | 0.867010i | |||||
5.92579 | 0.226413 | |||||||||
−11.6476 | + | 23.0459i | −0.444707 | + | 0.879897i | |||||
−50.0212 | −1.90843 | |||||||||
13.2041 | − | 42.5250i | 0.503400 | − | 1.62125i | |||||
− | 8.11736i | − | 0.309247i | |||||||
−19.4809 | + | 0.212359i | −0.741625 | + | 0.00808438i | |||||
− | 32.6562i | − | 1.24230i | −0.783691 | − | 0.621150i | ||||
0.783691 | − | 0.621150i | ||||||||
−7.52908 | − | 10.2215i | −0.286213 | − | 0.388562i | |||||
−68.8777 | −2.61645 | |||||||||
−4.97609 | − | 2.51495i | −0.188890 | − | 0.0954664i | |||||
3.32470 | 0.126113 | |||||||||
5.77117 | + | 34.2565i | 0.218756 | + | 1.29849i | |||||
− | 51.2356i | − | 1.94069i | |||||||
9.11105 | − | 18.0271i | 0.344858 | − | 0.682336i | |||||
76.9624i | 2.91098i | |||||||||
−3.18077 | − | 4.31821i | −0.120222 | − | 0.163213i | |||||
− | 6.51180i | − | 0.245947i | −0.992410 | − | 0.122974i | ||||
0.992410 | − | 0.122974i | ||||||||
−5.93816 | − | 3.00119i | −0.224121 | − | 0.113273i | |||||
10.3923i | 0.391953i | |||||||||
−36.9713 | + | 12.8209i | −1.39341 | + | 0.483207i | |||||
28.1769i | 1.06120i | |||||||||
15.4706 | − | 30.6101i | 0.582244 | − | 1.15203i | |||||
−4.12592 | −0.155171 | |||||||||
−6.40384 | − | 8.69384i | −0.240671 | − | 0.326734i | |||||
− | 8.35583i | − | 0.313810i | −0.987614 | − | 0.156905i | ||||
0.987614 | − | 0.156905i | ||||||||
−4.62400 | + | 9.14904i | −0.173536 | + | 0.343357i | |||||
19.3236 | 0.724692 | |||||||||
3.81761 | + | 22.6605i | 0.143071 | + | 0.849239i | |||||
26.1191 | − | 13.5602i | 0.978169 | − | 0.507835i | |||||
31.1901 | − | 61.7128i | 1.16726 | − | 2.30954i | |||||
− | 3.55894i | − | 0.133097i | |||||||
4.98696 | − | 3.67337i | 0.186371 | − | 0.137280i | |||||
67.7517 | 2.53023 | |||||||||
−22.4604 | + | 44.4401i | −0.838214 | + | 1.65849i | |||||
3.98961i | 0.148787i | 0.997229 | + | 0.0743937i | ||||||
−0.997229 | + | 0.0743937i | ||||||||
20.0596 | + | 6.22853i | 0.747577 | + | 0.232123i | |||||
48.5698 | 1.80883 | |||||||||
7.53305 | − | 14.9049i | 0.280351 | − | 0.554703i | |||||
0.609505 | 0.0226677 | |||||||||
17.3285 | − | 12.7641i | 0.644008 | − | 0.474373i | |||||
4.27582 | 0.158800 | |||||||||
46.8630 | + | 23.6849i | 1.73925 | + | 0.879031i | |||||
26.1403 | 0.969490 | 0.484745 | − | 0.874656i | ||||||
0.484745 | + | 0.874656i | ||||||||
−5.44191 | + | 0.916794i | −0.201690 | + | 0.0339787i | |||||
40.9103 | 1.51520 | |||||||||
−9.98227 | − | 5.04512i | −0.369460 | − | 0.186728i | |||||
− | 70.6606i | − | 2.61348i | |||||||
23.6237 | + | 32.0715i | 0.873157 | + | 1.18540i | |||||
− | 46.1008i | − | 1.70277i | −0.524540 | − | 0.851386i | ||||
0.524540 | − | 0.851386i | ||||||||
−2.87808 | + | 5.69458i | −0.106232 | + | 0.210191i | |||||
0.548788 | 0.0202424 | |||||||||
7.76190 | − | 25.9952i | 0.286108 | − | 0.958198i | |||||
51.4695 | 1.89590 | |||||||||
−27.0380 | + | 53.4974i | −0.995284 | + | 1.96927i | |||||
− | 32.2296i | − | 1.18559i | −0.805355 | − | 0.592793i | ||||
0.805355 | − | 0.592793i | ||||||||
4.59676 | + | 6.24055i | 0.168980 | + | 0.229407i | |||||
− | 5.60452i | − | 0.205887i | |||||||
−37.7608 | − | 19.0846i | −1.38624 | − | 0.700619i | |||||
−33.3792 | −1.22456 | −0.612281 | − | 0.790640i | ||||||
−0.612281 | + | 0.790640i | ||||||||
−49.1633 | + | 8.28250i | −1.80241 | + | 0.303651i | |||||
14.4242 | 0.528463 | |||||||||
−1.33246 | − | 0.673438i | −0.0487850 | − | 0.0246563i | |||||
−24.9622 | −0.913319 | |||||||||
−49.9973 | + | 36.8278i | −1.82808 | + | 1.34656i | |||||
−29.8516 | −1.09075 | |||||||||
1.83238 | − | 3.62554i | 0.0669090 | − | 0.132386i | |||||
−1.95865 | −0.0714723 | −0.0357362 | − | 0.999361i | ||||||
−0.0357362 | + | 0.999361i | ||||||||
−37.4723 | − | 11.6352i | −1.36648 | − | 0.424292i | |||||
31.9283i | 1.16353i | |||||||||
1.98457 | − | 3.92667i | 0.0722737 | − | 0.143001i | |||||
13.3082 | 0.484333 | |||||||||
−27.9223 | + | 20.5674i | −1.01552 | + | 0.748030i | |||||
16.8031i | 0.610721i | 0.952237 | + | 0.305360i | ||||||
−0.952237 | + | 0.305360i | ||||||||
−4.13528 | + | 8.18205i | −0.150200 | + | 0.297186i | |||||
−59.8040 | + | 31.0484i | −2.17075 | + | 1.12698i | |||||
1.26004 | + | 7.47935i | 0.0457065 | + | 0.271305i | |||||
−44.9975 | −1.63116 | −0.815579 | − | 0.578646i | ||||||
−0.815579 | + | 0.578646i | ||||||||
5.59522 | − | 11.0707i | 0.202693 | − | 0.401049i | |||||
28.5449i | 1.03340i | |||||||||
5.63858 | + | 7.65492i | 0.203997 | + | 0.276945i | |||||
33.3315 | 1.20510 | |||||||||
0.860637 | − | 1.70285i | 0.0310961 | − | 0.0615266i | |||||
1.36753i | 0.0493785i | |||||||||
−26.0313 | + | 37.8768i | −0.939322 | + | 1.36676i | |||||
− | 19.8146i | − | 0.714531i | −0.934003 | − | 0.357266i | ||||
0.934003 | − | 0.357266i | ||||||||
−16.5557 | − | 8.36737i | −0.596625 | − | 0.301539i | |||||
− | 3.60350i | − | 0.129777i | |||||||
−25.3407 | − | 34.4025i | −0.912032 | − | 1.23817i | |||||
− | 47.4024i | − | 1.70494i | −0.522772 | − | 0.852472i | ||||
0.522772 | − | 0.852472i | ||||||||
−37.2889 | + | 73.7798i | −1.34032 | + | 2.65196i | |||||
6.13645i | 0.220428i | |||||||||
1.26132 | + | 7.48696i | 0.0452789 | + | 0.268766i | |||||
−29.8516 | −1.07092 | |||||||||
−13.1071 | − | 6.62443i | −0.469912 | − | 0.237497i | |||||
−21.6452 | −0.775521 | |||||||||
−2.47901 | − | 3.36550i | −0.0887629 | − | 0.120504i | |||||
35.4561i | 1.26872i | |||||||||
−0.469269 | − | 43.0486i | −0.0167810 | − | 1.53941i | |||||
− | 27.6482i | − | 0.988066i | |||||||
−0.226613 | + | 0.729831i | −0.00809333 | + | 0.0260654i | |||||
−3.66320 | −0.130745 | |||||||||
5.67471 | − | 11.2280i | 0.202410 | − | 0.400488i | |||||
28.8128 | 1.02706 | 0.513532 | − | 0.858070i | ||||||
0.513532 | + | 0.858070i | ||||||||
−24.3144 | − | 33.0092i | −0.866165 | − | 1.17590i | |||||
73.7536i | 2.62570i | |||||||||
4.64469 | + | 2.34746i | 0.165251 | + | 0.0835190i | |||||
− | 14.5182i | − | 0.516209i | |||||||
71.6391 | − | 12.0690i | 2.54558 | − | 0.428853i | |||||
− | 5.04479i | − | 0.179146i | |||||||
14.9669 | − | 29.6134i | 0.531154 | − | 1.05094i | |||||
− | 32.0467i | − | 1.13658i | |||||||
18.1197 | + | 24.5992i | 0.642235 | + | 0.871897i | |||||
29.1492i | 1.03252i | 0.856432 | + | 0.516260i | ||||||
−0.856432 | + | 0.516260i | ||||||||
−26.0715 | − | 13.1767i | −0.922920 | − | 0.466451i | |||||
−62.2649 | −2.20277 | |||||||||
4.06494 | + | 3.93398i | 0.143717 | + | 0.139087i | |||||
− | 42.6630i | − | 1.50742i | |||||||
−33.2582 | − | 16.8089i | −1.17439 | − | 0.593545i | |||||
−38.6852 | −1.36517 | |||||||||
48.6720 | − | 35.8516i | 1.71653 | − | 1.26439i | |||||
11.4140 | − | 5.92579i | 0.402290 | − | 0.208857i | |||||
5.63536 | + | 2.84816i | 0.198497 | + | 0.100322i | |||||
− | 58.6537i | − | 2.06471i | |||||||
4.29134 | − | 0.722959i | 0.150969 | − | 0.0254336i | |||||
−39.3289 | −1.38273 | −0.691365 | − | 0.722506i | ||||||
−0.691365 | + | 0.722506i | ||||||||
−3.56012 | − | 1.79932i | −0.125090 | − | 0.0632215i | |||||
25.2461i | 0.886510i | 0.896396 | + | 0.443255i | ||||||
−0.896396 | + | 0.443255i | ||||||||
−13.6004 | − | 18.4639i | −0.477281 | − | 0.647955i | |||||
−8.86763 | −0.311001 | |||||||||
23.9258 | + | 12.0923i | 0.838599 | + | 0.423835i | |||||
−16.6589 | −0.583536 | |||||||||
−21.6271 | + | 69.6522i | −0.757099 | + | 2.43831i | |||||
−29.8516 | −1.04437 | |||||||||
−11.7081 | + | 23.1656i | −0.409363 | + | 0.809965i | |||||
10.2455 | 0.358006 | |||||||||
−12.9979 | + | 9.57420i | −0.453907 | + | 0.334346i | |||||
11.0606 | 0.386019 | 0.193009 | − | 0.981197i | ||||||
0.193009 | + | 0.981197i | ||||||||
10.8583 | − | 21.4842i | 0.378727 | − | 0.749348i | |||||
9.36041i | 0.326283i | 0.986603 | + | 0.163142i | ||||||
−0.986603 | + | 0.163142i | ||||||||
−50.5170 | + | 8.51057i | −1.75984 | + | 0.296480i | |||||
− | 14.0504i | − | 0.489172i | |||||||
6.36154 | + | 3.21517i | 0.221346 | + | 0.111870i | |||||
−50.8347 | −1.76770 | −0.883848 | − | 0.467775i | ||||||
−0.883848 | + | 0.467775i | ||||||||
−22.2276 | + | 45.1966i | −0.772462 | + | 1.57069i | |||||
6.23369 | 0.216505 | 0.108252 | − | 0.994123i | ||||||
0.108252 | + | 0.994123i | ||||||||
−6.00000 | − | 3.03245i | −0.208263 | − | 0.105258i | |||||
− | 8.51548i | − | 0.295399i | |||||||
5.49944 | − | 1.90710i | 0.190659 | − | 0.0661168i | |||||
1.21270i | 0.0420177i | |||||||||
6.09211 | − | 12.0538i | 0.210952 | − | 0.417390i | |||||
1.87953 | 0.0650437 | |||||||||
15.5584 | + | 21.1221i | 0.538099 | + | 0.730522i | |||||
39.6794 | 1.37152 | |||||||||
12.9742 | − | 25.6708i | 0.448187 | − | 0.886782i | |||||
−14.6079 | −0.504320 | −0.252160 | − | 0.967686i | ||||||
−0.252160 | + | 0.967686i | ||||||||
−21.4842 | + | 3.61943i | −0.741276 | + | 0.124882i | |||||
−10.7174 | −0.369564 | |||||||||
11.6403 | + | 5.88308i | 0.401150 | + | 0.202744i | |||||
−25.6685 | −0.884069 | |||||||||
41.9869 | − | 30.9274i | 1.44525 | − | 1.06456i | |||||
− | 12.4706i | − | 0.429002i | |||||||
65.0135 | + | 32.8584i | 2.23521 | + | 1.12969i | |||||
−34.6620 | −1.19100 | |||||||||
42.6188 | + | 13.2332i | 1.46354 | + | 0.454429i | |||||
− | 49.5065i | − | 1.69906i | |||||||
8.01167 | + | 4.04917i | 0.274798 | + | 0.138885i | |||||
−16.4952 | + | 8.56379i | −0.565447 | + | 0.293563i | |||||
24.6973 | + | 33.5290i | 0.846116 | + | 1.14868i | |||||
33.5602 | 1.14908 | 0.574541 | − | 0.818476i | ||||||
0.574541 | + | 0.818476i | ||||||||
−23.4677 | − | 11.8607i | −0.803047 | − | 0.405866i | |||||
− | 14.0814i | − | 0.481573i | |||||||
31.0484 | − | 5.23070i | 1.06121 | − | 0.178782i | |||||
−51.6052 | −1.76280 | −0.881400 | − | 0.472372i | ||||||
−0.881400 | + | 0.472372i | ||||||||
−12.9031 | − | 6.52132i | −0.440504 | − | 0.222634i | |||||
− | 27.1505i | − | 0.926365i | −0.886263 | − | 0.463182i | ||||
0.886263 | − | 0.463182i | ||||||||
−17.9258 | + | 13.2041i | −0.611264 | + | 0.450255i | |||||
− | 62.1753i | − | 2.11893i | |||||||
−6.55801 | + | 12.9757i | −0.223367 | + | 0.441953i | |||||
− | 8.73671i | − | 0.297401i | −0.988882 | − | 0.148701i | ||||
0.988882 | − | 0.148701i | ||||||||
25.4378 | − | 26.2846i | 0.865412 | − | 0.894222i | |||||
6.34755i | 0.215823i | |||||||||
−22.4786 | − | 11.3608i | −0.763852 | − | 0.386057i | |||||
66.9037i | 2.27217i | |||||||||
26.4985 | − | 19.5186i | 0.899417 | − | 0.662506i | |||||
18.0000 | 0.610608 | |||||||||
7.83492 | − | 15.5022i | 0.265629 | − | 0.525573i | |||||
−7.65603 | −0.259415 | |||||||||
−5.00175 | − | 29.6894i | −0.169381 | − | 1.00541i | |||||
− | 14.0957i | − | 0.477067i | |||||||
−18.1865 | + | 0.198249i | −0.615168 | + | 0.00670589i | |||||
2.68161i | 0.0906551i | |||||||||
−36.5826 | + | 26.9466i | −1.23601 | + | 0.910440i | |||||
15.0426 | 0.507954 | 0.253977 | − | 0.967210i | ||||||
0.253977 | + | 0.967210i | ||||||||
18.9017 | + | 9.55309i | 0.637903 | + | 0.322401i | |||||
58.4548 | 1.97163 | |||||||||
18.6856 | + | 5.80189i | 0.629891 | + | 0.195582i | |||||
− | 18.6951i | − | 0.629854i | −0.949116 | − | 0.314927i | ||||
0.949116 | − | 0.314927i | ||||||||
0.639967 | − | 1.26624i | 0.0215488 | − | 0.0426365i | |||||
0.220695i | 0.00742699i | 0.999993 | + | 0.00371350i | ||||||
−0.999993 | + | 0.00371350i | ||||||||
7.43704 | − | 5.47809i | 0.250135 | − | 0.184248i | |||||
5.39889i | 0.181482i | |||||||||
17.6807 | + | 8.93595i | 0.593994 | + | 0.300209i | |||||
36.1252i | 1.21297i | 0.795096 | + | 0.606483i | ||||||
−0.795096 | + | 0.606483i | ||||||||
31.0484 | − | 5.23070i | 1.04192 | − | 0.175531i | |||||
8.18838i | 0.274630i | |||||||||
5.18277 | − | 10.2546i | 0.173727 | − | 0.343736i | |||||
−13.7969 | −0.462213 | |||||||||
2.38210 | − | 1.75465i | 0.0797587 | − | 0.0587499i | |||||
26.3047i | 0.880254i | |||||||||
26.4306 | − | 52.2956i | 0.883973 | − | 1.74903i | |||||
−3.09691 | −0.103518 | |||||||||
4.05809 | − | 30.0664i | 0.135571 | − | 1.00445i | |||||
8.89578 | − | 4.61841i | 0.297021 | − | 0.154204i | |||||
18.1085 | − | 35.8294i | 0.604288 | − | 1.19564i | |||||
26.2384i | 0.875099i | |||||||||
−6.22853 | − | 8.45583i | −0.207618 | − | 0.281861i | |||||
70.8164 | 2.35924 | |||||||||
−25.1860 | + | 49.8330i | −0.838602 | + | 1.65926i | |||||
− | 85.7478i | − | 2.85351i | |||||||
2.54394 | + | 15.1003i | 0.0846100 | + | 0.502228i | |||||
−10.7610 | −0.357708 | |||||||||
24.3856 | − | 48.2493i | 0.810157 | − | 1.60298i | |||||
17.3062 | 0.574642 | 0.287321 | − | 0.957834i | ||||||
0.287321 | + | 0.957834i | ||||||||
−2.61027 | − | 3.54369i | −0.0866248 | − | 0.117602i | |||||
−8.07930 | −0.267974 | |||||||||
2.46264 | + | 1.24464i | 0.0816357 | + | 0.0412593i | |||||
36.3949 | 1.20582 | 0.602909 | − | 0.797810i | ||||||
0.602909 | + | 0.797810i | ||||||||
29.4256 | + | 9.13667i | 0.974378 | + | 0.302545i | |||||
−23.2524 | −0.769541 | |||||||||
44.9829 | + | 22.7347i | 1.48790 | + | 0.751998i | |||||
− | 19.9164i | − | 0.658417i | |||||||
−28.0418 | + | 20.6554i | −0.926526 | + | 0.682475i | |||||
8.30471i | 0.274246i | |||||||||
26.1826 | − | 51.8049i | 0.864155 | − | 1.70982i | |||||
11.5400 | 0.380668 | 0.190334 | − | 0.981719i | ||||||
0.190334 | + | 0.981719i | ||||||||
−10.8333 | + | 8.16337i | −0.357162 | + | 0.269138i | |||||
−94.5733 | −3.11630 | |||||||||
0.697148 | − | 1.37938i | 0.0229594 | − | 0.0454274i | |||||
− | 5.27406i | − | 0.173598i | |||||||
−60.6725 | + | 44.6911i | −1.99598 | + | 1.47023i | |||||
− | 3.87539i | − | 0.127422i | |||||||
25.7187 | + | 12.9984i | 0.845169 | + | 0.427155i | |||||
95.1084 | 3.12377 | |||||||||
17.3810 | + | 16.8210i | 0.570558 | + | 0.552177i | |||||
14.6414 | 0.480368 | 0.240184 | − | 0.970727i | ||||||
0.240184 | + | 0.970727i | ||||||||
22.2480 | + | 11.2443i | 0.729540 | + | 0.368715i | |||||
0.512325 | 0.0167908 | |||||||||
31.7804 | + | 43.1450i | 1.04100 | + | 1.41326i | |||||
90.9645 | 2.97804 | |||||||||
19.6653 | − | 38.9098i | 0.643468 | − | 1.27317i | |||||
31.0484 | 1.01539 | |||||||||
−10.6562 | + | 1.79525i | −0.348310 | + | 0.0586796i | |||||
− | 10.9207i | − | 0.356762i | −0.983961 | − | 0.178381i | ||||
0.983961 | − | 0.178381i | ||||||||
−18.0000 | + | 35.6148i | −0.587721 | + | 1.16286i | |||||
17.0217 | 0.555481 | |||||||||
11.6352 | + | 15.7959i | 0.379498 | + | 0.515206i | |||||
− | 24.4113i | − | 0.795786i | −0.917432 | − | 0.397893i | ||||
0.917432 | − | 0.397893i | ||||||||
−6.71238 | + | 13.2811i | −0.218701 | + | 0.432722i | |||||
−17.8368 | − | 34.3564i | −0.580846 | − | 1.11880i | |||||
−7.17996 | − | 2.22938i | −0.233688 | − | 0.0725603i | |||||
17.3398 | 0.564063 | |||||||||
−34.7347 | + | 68.7261i | −1.12932 | + | 2.23448i | |||||
11.9194i | 0.387327i | 0.981068 | + | 0.193664i | ||||||
−0.981068 | + | 0.193664i | ||||||||
17.0217 | − | 12.5381i | 0.552838 | − | 0.407218i | |||||
5.75438 | 0.186795 | |||||||||
1.71063 | − | 3.38465i | 0.0555001 | − | 0.109813i | |||||
− | 41.0990i | − | 1.33273i | |||||||
−7.99817 | − | 47.4755i | −0.259222 | − | 1.53869i | |||||
56.4533i | 1.82870i | 0.404923 | + | 0.914351i | ||||||
−0.404923 | + | 0.914351i | ||||||||
−73.9425 | − | 37.3712i | −2.39398 | − | 1.20994i | |||||
− | 4.75372i | − | 0.153827i | |||||||
37.9815 | − | 27.9770i | 1.22841 | − | 0.904840i | |||||
− | 60.0770i | − | 1.94201i | |||||||
9.29429 | − | 18.3897i | 0.300285 | − | 0.594143i | |||||
15.8907i | 0.513137i | |||||||||
21.7113 | − | 7.52908i | 0.700731 | − | 0.243000i | |||||
−6.65605 | −0.214711 | |||||||||
−3.55894 | − | 1.79872i | −0.114745 | − | 0.0579929i | |||||
−58.4548 | −1.88368 | |||||||||
0.341687 | − | 0.251685i | 0.0110050 | − | 0.00810624i | |||||
21.3640i | 0.687732i | |||||||||
−0.569466 | − | 52.2402i | −0.0183223 | − | 1.68080i | |||||
23.1460i | 0.744324i | 0.928168 | + | 0.372162i | ||||||
−0.928168 | + | 0.372162i | ||||||||
36.0516 | − | 6.07360i | 1.15874 | − | 0.195213i | |||||
48.8942 | 1.57071 | |||||||||
1.71237 | − | 3.38809i | 0.0549809 | − | 0.108785i | |||||
−9.18083 | −0.294627 | −0.147313 | − | 0.989090i | ||||||
−0.147313 | + | 0.989090i | ||||||||
18.1905 | − | 13.3990i | 0.583460 | − | 0.429774i | |||||
8.91556i | 0.285820i | |||||||||
−2.75625 | − | 1.39303i | −0.0883161 | − | 0.0446356i | |||||
2.08998i | 0.0669330i | |||||||||
26.4868 | + | 8.22417i | 0.847822 | + | 0.263249i | |||||
56.3849i | 1.80391i | 0.431827 | + | 0.901956i | ||||||
−0.431827 | + | 0.901956i | ||||||||
−30.5254 | + | 60.3975i | −0.976095 | + | 1.93130i | |||||
− | 39.7407i | − | 1.27012i | |||||||
0.307650 | − | 0.226613i | 0.00982750 | − | 0.00723889i | |||||
55.8962i | 1.78463i | |||||||||
9.53654 | + | 4.81984i | 0.304323 | + | 0.153807i | |||||
−22.0549 | −0.703441 | −0.351721 | − | 0.936105i | ||||||
−0.351721 | + | 0.936105i | ||||||||
10.8946 | + | 64.6680i | 0.347307 | + | 2.06154i | |||||
20.4988i | 0.653145i | |||||||||
34.2565 | + | 17.3135i | 1.09095 | + | 0.551374i | |||||
−75.5595 | −2.40509 | |||||||||
−2.31430 | − | 3.14189i | −0.0736276 | − | 0.0999567i | |||||
−24.5992 | − | 47.3819i | −0.782210 | − | 1.50666i | |||||
−32.4190 | − | 16.3848i | −1.03034 | − | 0.520744i | |||||
14.4702i | 0.459661i | 0.973231 | + | 0.229830i | ||||||
−0.973231 | + | 0.229830i | ||||||||
−24.1407 | + | 24.9443i | −0.766468 | + | 0.791984i | |||||
43.5550 | 1.38218 | |||||||||
−24.5342 | − | 12.3998i | −0.778177 | − | 0.393297i | |||||
− | 15.2762i | − | 0.484287i | |||||||
−21.9885 | + | 16.1967i | −0.696734 | + | 0.513211i | |||||
−33.2358 | −1.05259 | −0.526294 | − | 0.850303i | ||||||
−0.526294 | + | 0.850303i | ||||||||
−12.6316 | − | 6.38414i | −0.399848 | − | 0.202086i | |||||
−25.0590 | −0.792831 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 460.2.e.a.91.8 | yes | 16 | |
4.3 | odd | 2 | inner | 460.2.e.a.91.6 | yes | 16 | |
23.22 | odd | 2 | inner | 460.2.e.a.91.7 | yes | 16 | |
92.91 | even | 2 | inner | 460.2.e.a.91.5 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.e.a.91.5 | ✓ | 16 | 92.91 | even | 2 | inner | |
460.2.e.a.91.6 | yes | 16 | 4.3 | odd | 2 | inner | |
460.2.e.a.91.7 | yes | 16 | 23.22 | odd | 2 | inner | |
460.2.e.a.91.8 | yes | 16 | 1.1 | even | 1 | trivial |