Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [665,2,Mod(106,665)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(665, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("665.106");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 665.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 | 596.6 | ||
Root | of defining polynomial | ||
Character | 665.596 | ||
Dual form | 665.2.i.h.106.6 |
-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 .
0.449475 | + | 0.778513i | 0.317827 | + | 0.550492i | 0.980034 | − | 0.198829i | ||
−0.662208 | + | 0.749320i | ||||||||
−1.28912 | − | 2.23283i | −0.744275 | − | 1.28912i | −0.950533 | − | 0.310625i | ||
0.206258 | − | 0.978498i | ||||||||
0.595945 | − | 1.03221i | 0.297973 | − | 0.516104i | |||||
0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | |||||
1.15886 | − | 2.00720i | 0.473101 | − | 0.819435i | |||||
−1.00000 | −0.377964 | |||||||||
2.86935 | 1.01447 | |||||||||
−1.82367 | + | 3.15869i | −0.607891 | + | 1.05290i | |||||
−0.449475 | + | 0.778513i | −0.142136 | + | 0.246187i | |||||
5.14308 | 1.55070 | 0.775348 | − | 0.631534i | ||||||
0.775348 | + | 0.631534i | ||||||||
−3.07298 | −0.887094 | |||||||||
1.92508 | − | 3.33434i | 0.533922 | − | 0.924779i | −0.465293 | − | 0.885157i | ||
0.999215 | − | 0.0396228i | ||||||||
−0.449475 | − | 0.778513i | −0.120127 | − | 0.208066i | |||||
1.28912 | − | 2.23283i | 0.332850 | − | 0.576513i | |||||
0.0978087 | + | 0.169410i | 0.0244522 | + | 0.0423524i | |||||
0.102596 | + | 0.177702i | 0.0248832 | + | 0.0430990i | 0.878199 | − | 0.478296i | ||
−0.853316 | + | 0.521395i | ||||||||
−3.27878 | −0.772815 | |||||||||
−1.99594 | − | 3.87508i | −0.457901 | − | 0.889003i | |||||
1.19189 | 0.266515 | |||||||||
1.28912 | + | 2.23283i | 0.281310 | + | 0.487242i | |||||
2.31168 | + | 4.00395i | 0.492853 | + | 0.853646i | |||||
−3.70395 | + | 6.41543i | −0.772327 | + | 1.33771i | 0.163958 | + | 0.986467i | ||
−0.936285 | + | 0.351242i | ||||||||
−3.69894 | − | 6.40675i | −0.755043 | − | 1.30777i | |||||
−0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | |||||
3.46110 | 0.678778 | |||||||||
1.66901 | 0.321202 | |||||||||
−0.595945 | + | 1.03221i | −0.112623 | + | 0.195069i | |||||
4.74144 | − | 8.21241i | 0.880462 | − | 1.52501i | 0.0296348 | − | 0.999561i | ||
0.850828 | − | 0.525445i | ||||||||
2.31771 | 0.423154 | |||||||||
−0.731444 | −0.131371 | −0.0656856 | − | 0.997840i | ||||||
−0.0656856 | + | 0.997840i | ||||||||
2.78142 | − | 4.81756i | 0.491691 | − | 0.851633i | |||||
−6.63006 | − | 11.4836i | −1.15414 | − | 1.99904i | |||||
−0.0922287 | + | 0.159745i | −0.0158171 | + | 0.0273960i | |||||
−0.500000 | − | 0.866025i | −0.0845154 | − | 0.146385i | |||||
2.17362 | + | 3.76482i | 0.362270 | + | 0.627469i | |||||
−7.77996 | −1.27902 | −0.639509 | − | 0.768784i | ||||||
−0.639509 | + | 0.768784i | ||||||||
2.11967 | − | 3.29562i | 0.343856 | − | 0.534619i | |||||
−9.92666 | −1.58954 | |||||||||
1.43467 | + | 2.48493i | 0.226842 | + | 0.392902i | |||||
−3.43044 | − | 5.94170i | −0.535745 | − | 0.927938i | −0.999127 | − | 0.0417794i | ||
0.463381 | − | 0.886159i | ||||||||
−1.15886 | + | 2.00720i | −0.178815 | + | 0.309717i | |||||
0.336385 | + | 0.582635i | 0.0512982 | + | 0.0888510i | 0.890534 | − | 0.454916i | ||
−0.839236 | + | 0.543767i | ||||||||
3.06499 | − | 5.30872i | 0.462065 | − | 0.800320i | |||||
−3.64734 | −0.543714 | |||||||||
−6.65932 | −0.981864 | |||||||||
−2.30829 | + | 3.99807i | −0.336698 | + | 0.583178i | −0.983810 | − | 0.179217i | ||
0.647111 | + | 0.762395i | ||||||||
0.252175 | − | 0.436779i | 0.0363983 | − | 0.0630437i | |||||
1.00000 | 0.142857 | |||||||||
−0.898949 | −0.127131 | |||||||||
0.264518 | − | 0.458158i | 0.0370399 | − | 0.0641550i | |||||
−2.29449 | − | 3.97417i | −0.318188 | − | 0.551118i | |||||
4.60152 | − | 7.97007i | 0.632068 | − | 1.09477i | −0.355061 | − | 0.934843i | ||
0.987128 | − | 0.159930i | ||||||||
0.750179 | + | 1.29935i | 0.102086 | + | 0.176819i | |||||
2.57154 | + | 4.45404i | 0.346746 | + | 0.600582i | |||||
−2.86935 | −0.383433 | |||||||||
−6.07935 | + | 9.45204i | −0.805230 | + | 1.25195i | |||||
8.52462 | 1.11934 | |||||||||
5.55254 | + | 9.61728i | 0.722879 | + | 1.25206i | 0.959841 | + | 0.280545i | ||
−0.236962 | + | 0.971519i | ||||||||
−1.53649 | − | 2.66128i | −0.198360 | − | 0.343570i | |||||
2.72714 | − | 4.72355i | 0.349175 | − | 0.604789i | −0.636928 | − | 0.770923i | ||
0.986103 | + | 0.166135i | ||||||||
−0.328766 | − | 0.569439i | −0.0417533 | − | 0.0723188i | |||||
1.82367 | − | 3.15869i | 0.229761 | − | 0.397958i | |||||
5.39195 | 0.673994 | |||||||||
3.85016 | 0.477554 | |||||||||
5.96009 | − | 10.3232i | 0.733636 | − | 1.27069i | |||||
−0.123859 | + | 0.214529i | −0.0151317 | + | 0.0262089i | −0.873492 | − | 0.486838i | ||
0.858360 | + | 0.513047i | ||||||||
0.244567 | 0.0296581 | |||||||||
19.0994 | 2.29929 | |||||||||
0.449475 | − | 0.778513i | 0.0537225 | − | 0.0930501i | |||||
6.25825 | + | 10.8396i | 0.742717 | + | 1.28642i | 0.951254 | + | 0.308410i | ||
−0.208536 | + | 0.978015i | ||||||||
−5.23275 | + | 9.06339i | −0.616685 | + | 1.06813i | |||||
−3.74890 | − | 6.49328i | −0.438775 | − | 0.759981i | 0.558820 | − | 0.829289i | ||
−0.997595 | + | 0.0693077i | ||||||||
−3.49689 | − | 6.05680i | −0.406506 | − | 0.704089i | |||||
2.57824 | 0.297710 | |||||||||
−5.18935 | − | 0.249106i | −0.595260 | − | 0.0285744i | |||||
−5.14308 | −0.586108 | |||||||||
−4.46178 | − | 7.72804i | −0.505198 | − | 0.875028i | |||||
7.21180 | + | 12.4912i | 0.811391 | + | 1.40537i | 0.911890 | + | 0.410434i | ||
−0.100499 | + | 0.994937i | ||||||||
−0.0978087 | + | 0.169410i | −0.0109353 | + | 0.0189406i | |||||
3.31946 | + | 5.74947i | 0.368828 | + | 0.638830i | |||||
3.08380 | − | 5.34129i | 0.340548 | − | 0.589847i | |||||
−0.829940 | −0.0910978 | −0.0455489 | − | 0.998962i | ||||||
−0.0455489 | + | 0.998962i | ||||||||
3.07298 | 0.335290 | |||||||||
−0.102596 | + | 0.177702i | −0.0111281 | + | 0.0192745i | |||||
−0.302393 | + | 0.523760i | −0.0326078 | + | 0.0564784i | |||||
−24.4492 | −2.62122 | |||||||||
14.7573 | 1.57313 | |||||||||
−5.22941 | + | 9.05760i | −0.554316 | + | 0.960104i | 0.443640 | + | 0.896205i | ||
−0.997956 | + | 0.0638989i | ||||||||
−1.63939 | − | 2.83950i | −0.172807 | − | 0.299310i | |||||
−1.92508 | + | 3.33434i | −0.201803 | + | 0.349534i | |||||
4.41470 | + | 7.64648i | 0.460264 | + | 0.797201i | |||||
0.942921 | + | 1.63319i | 0.0977763 | + | 0.169354i | |||||
−4.15006 | −0.428046 | |||||||||
2.35794 | − | 3.66608i | 0.241920 | − | 0.376131i | |||||
−14.3424 | −1.46381 | |||||||||
3.95529 | + | 6.85077i | 0.401599 | + | 0.695590i | 0.993919 | − | 0.110113i | ||
−0.592320 | + | 0.805703i | ||||||||
0.449475 | + | 0.778513i | 0.0454038 | + | 0.0786417i | |||||
−9.37929 | + | 16.2454i | −0.942654 | + | 1.63272i | |||||
0.595945 | + | 1.03221i | 0.0595945 | + | 0.103221i | |||||
2.20047 | − | 3.81132i | 0.218955 | − | 0.379241i | −0.735534 | − | 0.677488i | ||
0.954489 | + | 0.298247i | ||||||||
0.475576 | 0.0470891 | |||||||||
9.01446 | 0.888222 | 0.444111 | − | 0.895972i | ||||||
0.444111 | + | 0.895972i | ||||||||
5.52373 | − | 9.56738i | 0.541646 | − | 0.938159i | |||||
−1.28912 | + | 2.23283i | −0.125805 | + | 0.217901i | |||||
8.27307 | 0.803552 | |||||||||
16.6085 | 1.60560 | 0.802801 | − | 0.596247i | ||||||
0.802801 | + | 0.596247i | ||||||||
0.994640 | − | 1.72277i | 0.0957092 | − | 0.165773i | |||||
−3.50267 | − | 6.06681i | −0.335495 | − | 0.581095i | 0.648085 | − | 0.761568i | ||
−0.983580 | + | 0.180474i | ||||||||
−2.31168 | + | 4.00395i | −0.220410 | + | 0.381762i | |||||
10.0293 | + | 17.3713i | 0.951941 | + | 1.64881i | |||||
−0.0978087 | − | 0.169410i | −0.00924205 | − | 0.0160077i | |||||
−14.5253 | −1.36642 | −0.683211 | − | 0.730221i | ||||||
−0.683211 | + | 0.730221i | ||||||||
−10.0910 | − | 0.484404i | −0.945113 | − | 0.0453685i | |||||
−7.40790 | −0.690790 | |||||||||
−5.65127 | − | 9.78829i | −0.524707 | − | 0.908820i | |||||
7.02144 | + | 12.1615i | 0.649132 | + | 1.12433i | |||||
−4.99145 | + | 8.64545i | −0.459501 | + | 0.795878i | |||||
−0.102596 | − | 0.177702i | −0.00940497 | − | 0.0162899i | |||||
3.69894 | − | 6.40675i | 0.337665 | − | 0.584854i | |||||
15.4513 | 1.40466 | |||||||||
4.90313 | 0.443908 | |||||||||
−8.84453 | + | 15.3192i | −0.797484 | + | 1.38128i | |||||
−0.435901 | + | 0.755002i | −0.0391450 | + | 0.0678012i | |||||
−1.00000 | −0.0894427 | |||||||||
3.27878 | 0.292097 | |||||||||
−8.13022 | + | 14.0820i | −0.721440 | + | 1.24957i | 0.238982 | + | 0.971024i | ||
−0.960423 | + | 0.278547i | ||||||||
−3.13930 | − | 5.43743i | −0.277478 | − | 0.480605i | |||||
0.867282 | − | 1.50218i | 0.0763599 | − | 0.132259i | |||||
1.73055 | + | 2.99740i | 0.151779 | + | 0.262890i | |||||
−3.26070 | − | 5.64770i | −0.284889 | − | 0.493442i | 0.687693 | − | 0.726001i | ||
−0.972582 | + | 0.232559i | ||||||||
−15.8046 | −1.37561 | |||||||||
1.99594 | + | 3.87508i | 0.173070 | + | 0.336012i | |||||
−0.222685 | −0.0192371 | |||||||||
0.834506 | + | 1.44541i | 0.0718228 | + | 0.124401i | |||||
0.294384 | + | 0.509888i | 0.0252432 | + | 0.0437225i | |||||
−4.10205 | + | 7.10497i | −0.350462 | + | 0.607018i | −0.986330 | − | 0.164779i | ||
0.635868 | + | 0.771798i | ||||||||
8.58468 | + | 14.8691i | 0.730777 | + | 1.26574i | |||||
1.36229 | − | 2.35956i | 0.115548 | − | 0.200135i | −0.802451 | − | 0.596719i | ||
0.917999 | + | 0.396583i | ||||||||
−1.19189 | −0.100733 | |||||||||
11.9027 | 1.00238 | |||||||||
−5.62585 | + | 9.74425i | −0.472111 | + | 0.817720i | |||||
9.90085 | − | 17.1488i | 0.827951 | − | 1.43405i | |||||
−0.713484 | −0.0594570 | |||||||||
9.48287 | 0.787510 | |||||||||
3.37007 | − | 5.83713i | 0.278909 | − | 0.483085i | |||||
−1.28912 | − | 2.23283i | −0.106325 | − | 0.184160i | |||||
−4.63643 | + | 8.03053i | −0.381112 | + | 0.660106i | |||||
0.677102 | + | 1.17277i | 0.0554703 | + | 0.0960775i | 0.892427 | − | 0.451191i | ||
−0.836957 | + | 0.547269i | ||||||||
1.15886 | + | 2.00720i | 0.0946202 | + | 0.163887i | |||||
6.67310 | 0.543050 | 0.271525 | − | 0.962431i | ||||||
0.271525 | + | 0.962431i | ||||||||
−5.72705 | − | 11.1189i | −0.464525 | − | 0.901865i | |||||
−0.748407 | −0.0605051 | |||||||||
−2.31168 | − | 4.00395i | −0.186281 | − | 0.322648i | |||||
−0.365722 | − | 0.633449i | −0.0293755 | − | 0.0508799i | |||||
−5.91575 | + | 10.2464i | −0.473639 | + | 0.820366i | |||||
8.79509 | + | 15.2335i | 0.701924 | + | 1.21577i | 0.967790 | + | 0.251759i | ||
−0.265866 | + | 0.964010i | ||||||||
−6.48305 | + | 11.2290i | −0.515763 | + | 0.893328i | |||||
−23.7277 | −1.88173 | |||||||||
5.56284 | 0.439781 | |||||||||
3.70395 | − | 6.41543i | 0.291912 | − | 0.505606i | |||||
−2.98402 | + | 5.16848i | −0.234447 | + | 0.406074i | |||||
−3.27946 | −0.256867 | −0.128434 | − | 0.991718i | ||||||
−0.128434 | + | 0.991718i | ||||||||
−8.17743 | −0.638550 | |||||||||
6.63006 | − | 11.4836i | 0.516149 | − | 0.893997i | |||||
−0.373037 | − | 0.646119i | −0.0289533 | − | 0.0501486i | |||||
7.09155 | − | 12.2829i | 0.548761 | − | 0.950481i | −0.449599 | − | 0.893230i | ||
0.998360 | − | 0.0572507i | ||||||||
3.69894 | + | 6.40675i | 0.285379 | + | 0.494292i | |||||
−0.911881 | − | 1.57942i | −0.0701447 | − | 0.121494i | |||||
−0.184457 | −0.0141472 | |||||||||
15.8801 | + | 0.762298i | 1.21438 | + | 0.0582944i | |||||
0.801867 | 0.0611418 | |||||||||
1.07042 | + | 1.85402i | 0.0813823 | + | 0.140958i | 0.903844 | − | 0.427862i | ||
−0.822462 | + | 0.568821i | ||||||||
−10.9893 | − | 19.0340i | −0.833095 | − | 1.44296i | |||||
0.500000 | − | 0.866025i | 0.0377964 | − | 0.0654654i | |||||
0.503038 | + | 0.871287i | 0.0379179 | + | 0.0656757i | |||||
14.3158 | − | 24.7957i | 1.07604 | − | 1.86376i | |||||
−9.40195 | −0.704706 | |||||||||
9.12996 | 0.682405 | 0.341202 | − | 0.939990i | ||||||
0.341202 | + | 0.939990i | ||||||||
−2.17362 | + | 3.76482i | −0.162012 | + | 0.280613i | |||||
0.815824 | − | 1.41305i | 0.0606398 | − | 0.105031i | −0.834112 | − | 0.551595i | ||
0.894752 | + | 0.446564i | ||||||||
−3.46110 | −0.256554 | |||||||||
−14.0625 | −1.03953 | |||||||||
−10.6279 | + | 18.4081i | −0.783500 | + | 1.35706i | |||||
−3.88998 | − | 6.73764i | −0.285997 | − | 0.495361i | |||||
−0.847638 | + | 1.46815i | −0.0621518 | + | 0.107650i | |||||
0.527660 | + | 0.913934i | 0.0385863 | + | 0.0668334i | |||||
2.75122 | + | 4.76526i | 0.200654 | + | 0.347542i | |||||
−1.66901 | −0.121403 | |||||||||
3.91392 | + | 0.187881i | 0.283946 | + | 0.0136303i | |||||
−10.3641 | −0.749923 | −0.374961 | − | 0.927040i | ||||||
−0.374961 | + | 0.927040i | ||||||||
−6.95088 | − | 12.0393i | −0.501637 | − | 0.868860i | |||||
8.57538 | + | 14.8530i | 0.617269 | + | 1.06914i | 0.989982 | + | 0.141195i | ||
−0.372712 | + | 0.927947i | ||||||||
−3.55561 | + | 6.15849i | −0.255278 | + | 0.442154i | |||||
−4.96333 | − | 8.59674i | −0.355432 | − | 0.615626i | |||||
0.595945 | − | 1.03221i | 0.0425675 | − | 0.0737291i | |||||
−16.3639 | −1.16588 | −0.582938 | − | 0.812516i | ||||||
−0.582938 | + | 0.812516i | ||||||||
−16.8630 | −1.19840 | |||||||||
−12.2693 | + | 21.2511i | −0.869748 | + | 1.50645i | −0.00749318 | + | 0.999972i | ||
−0.862255 | + | 0.506475i | ||||||||
−1.43467 | + | 2.48493i | −0.101447 | + | 0.175711i | |||||
0.638675 | 0.0450487 | |||||||||
3.95622 | 0.278359 | |||||||||
−4.74144 | + | 8.21241i | −0.332784 | + | 0.576398i | |||||
−0.315276 | − | 0.546074i | −0.0220737 | − | 0.0382329i | |||||
3.43044 | − | 5.94170i | 0.239593 | − | 0.414987i | |||||
4.05177 | + | 7.01788i | 0.282300 | + | 0.488959i | |||||
−13.5096 | − | 23.3993i | −0.938980 | − | 1.62636i | |||||
0.753159 | 0.0522222 | |||||||||
−10.2653 | − | 19.9298i | −0.710065 | − | 1.37857i | |||||
−2.31771 | −0.159937 | |||||||||
−7.47436 | − | 12.9460i | −0.514556 | − | 0.891238i | −0.999857 | − | 0.0168906i | ||
0.485301 | − | 0.874347i | ||||||||
−5.48451 | − | 9.49945i | −0.376678 | − | 0.652425i | |||||
16.1353 | − | 27.9471i | 1.10557 | − | 1.91491i | |||||
7.46509 | + | 12.9299i | 0.510303 | + | 0.883870i | |||||
−0.336385 | + | 0.582635i | −0.0229412 | + | 0.0397354i | |||||
4.78898 | 0.325849 | |||||||||
0.731444 | 0.0496537 | |||||||||
3.14873 | − | 5.45375i | 0.213259 | − | 0.369375i | |||||
−9.66558 | + | 16.7413i | −0.653139 | + | 1.13127i | |||||
6.12999 | 0.413284 | |||||||||
0.790024 | 0.0531427 | |||||||||
−9.01585 | + | 15.6159i | −0.605104 | + | 1.04807i | |||||
−6.34789 | − | 10.9949i | −0.425086 | − | 0.736271i | 0.571342 | − | 0.820712i | ||
−0.996428 | + | 0.0844408i | ||||||||
−2.78142 | + | 4.81756i | −0.185842 | + | 0.321887i | |||||
−1.82367 | − | 3.15869i | −0.121578 | − | 0.210580i | |||||
−6.52874 | − | 11.3081i | −0.434285 | − | 0.752204i | |||||
−25.2895 | −1.67852 | −0.839260 | − | 0.543730i | ||||||
−0.839260 | + | 0.543730i | ||||||||
6.13350 | + | 11.9080i | 0.406201 | + | 0.788630i | |||||
8.11685 | 0.536376 | 0.268188 | − | 0.963367i | ||||||
0.268188 | + | 0.963367i | ||||||||
−3.32966 | − | 5.76714i | −0.219551 | − | 0.380274i | |||||
6.63006 | + | 11.4836i | 0.436226 | + | 0.755565i | |||||
13.6048 | − | 23.5642i | 0.893201 | − | 1.54707i | |||||
4.93601 | + | 8.54942i | 0.323369 | + | 0.560091i | 0.981181 | − | 0.193091i | ||
−0.657812 | + | 0.753182i | ||||||||
−6.31192 | + | 10.9326i | −0.412623 | + | 0.714684i | |||||
−4.61657 | −0.301152 | |||||||||
13.2360 | 0.861593 | |||||||||
18.5938 | − | 32.2054i | 1.20780 | − | 2.09197i | |||||
0.0922287 | − | 0.159745i | 0.00597830 | − | 0.0103547i | |||||
7.62331 | 0.493111 | 0.246556 | − | 0.969129i | ||||||
0.246556 | + | 0.969129i | ||||||||
0.504349 | 0.0325556 | |||||||||
2.30054 | − | 3.98465i | 0.148191 | − | 0.256674i | −0.782368 | − | 0.622816i | ||
0.930559 | + | 0.366142i | ||||||||
6.94495 | + | 12.0290i | 0.446438 | + | 0.773254i | |||||
11.0619 | − | 19.1598i | 0.709620 | − | 1.22910i | |||||
−3.25045 | − | 5.62995i | −0.208089 | − | 0.360421i | |||||
0.500000 | + | 0.866025i | 0.0319438 | + | 0.0553283i | |||||
−15.9016 | −1.01385 | |||||||||
−16.7632 | − | 0.804687i | −1.06662 | − | 0.0512010i | |||||
−2.09877 | −0.133272 | |||||||||
1.06989 | + | 1.85311i | 0.0678018 | + | 0.117436i | |||||
−0.449475 | − | 0.778513i | −0.0284273 | − | 0.0492375i | |||||
−7.68789 | + | 13.3158i | −0.485255 | + | 0.840487i | −0.999856 | − | 0.0169429i | ||
0.514601 | + | 0.857430i | ||||||||
−2.17362 | − | 3.76482i | −0.136925 | − | 0.237161i | |||||
−19.0497 | + | 32.9950i | −1.19764 | + | 2.07438i | |||||
−14.6173 | −0.917171 | |||||||||
0.529036 | 0.0331295 | |||||||||
8.21402 | − | 14.2271i | 0.513376 | − | 0.889194i | |||||
10.2816 | − | 17.8083i | 0.641350 | − | 1.11085i | −0.343782 | − | 0.939050i | ||
0.985132 | − | 0.171801i | ||||||||
1.55928 | 0.0970768 | |||||||||
7.77996 | 0.483423 | |||||||||
2.29449 | − | 3.97417i | 0.142298 | − | 0.246467i | |||||
17.2936 | + | 29.9535i | 1.07045 | + | 1.85407i | |||||
2.93121 | − | 5.07700i | 0.181091 | − | 0.313658i | |||||
−2.42801 | − | 4.20544i | −0.149718 | − | 0.259319i | 0.781405 | − | 0.624024i | ||
−0.931123 | + | 0.364705i | ||||||||
−19.0239 | − | 32.9504i | −1.17084 | − | 2.02796i | |||||
9.20305 | 0.565339 | |||||||||
−2.11967 | + | 3.29562i | −0.129965 | + | 0.202067i | |||||
26.9654 | 1.65026 | |||||||||
0.147626 | + | 0.255695i | 0.00901768 | + | 0.0156191i | |||||
16.2922 | + | 28.2190i | 0.993356 | + | 1.72054i | 0.596344 | + | 0.802729i | ||
0.397011 | + | 0.917814i | ||||||||
−0.750179 | + | 1.29935i | −0.0456544 | + | 0.0790758i | |||||
10.0666 | + | 17.4358i | 0.611499 | + | 1.05915i | 0.990988 | + | 0.133952i | ||
−0.379489 | + | 0.925196i | ||||||||
−0.0200696 | + | 0.0347615i | −0.00121690 | + | 0.00210773i | |||||
9.92666 | 0.600789 | |||||||||
−7.37508 | −0.445545 | |||||||||
−2.57154 | + | 4.45404i | −0.155070 | + | 0.268589i | |||||
11.3822 | − | 19.7145i | 0.685126 | − | 1.18667i | |||||
6.21635 | 0.373504 | 0.186752 | − | 0.982407i | ||||||
0.186752 | + | 0.982407i | ||||||||
2.44926 | 0.146897 | |||||||||
1.33391 | − | 2.31041i | 0.0798594 | − | 0.138320i | |||||
−1.43467 | − | 2.48493i | −0.0857382 | − | 0.148503i | |||||
0.421421 | − | 0.729923i | 0.0251399 | − | 0.0435436i | −0.853182 | − | 0.521614i | ||
0.878322 | + | 0.478070i | ||||||||
5.34994 | + | 9.26637i | 0.318584 | + | 0.551804i | |||||
5.11722 | + | 8.86329i | 0.304187 | + | 0.526868i | 0.977080 | − | 0.212872i | ||
−0.672893 | + | 0.739740i | ||||||||
14.9183 | 0.885238 | |||||||||
−11.2254 | − | 0.538855i | −0.664934 | − | 0.0319190i | |||||
17.8007 | 1.05258 | |||||||||
3.43044 | + | 5.94170i | 0.202493 | + | 0.350728i | |||||
10.1448 | + | 17.5713i | 0.597788 | + | 1.03540i | |||||
8.47895 | − | 14.6860i | 0.498762 | − | 0.863881i | |||||
4.26231 | + | 7.38254i | 0.250291 | + | 0.433518i | |||||
10.1977 | − | 17.6629i | 0.597800 | − | 1.03542i | |||||
−8.93655 | −0.522972 | |||||||||
21.2496 | 1.24142 | 0.620708 | − | 0.784042i | ||||||
0.620708 | + | 0.784042i | ||||||||
1.15886 | − | 2.00720i | 0.0675858 | − | 0.117062i | |||||
−5.55254 | + | 9.61728i | −0.323281 | + | 0.559940i | |||||
−22.3234 | −1.29752 | |||||||||
8.58386 | 0.498086 | |||||||||
−0.608680 | + | 1.05427i | −0.0352599 | + | 0.0610719i | |||||
14.2608 | + | 24.7004i | 0.824724 | + | 1.42846i | |||||
1.53649 | − | 2.66128i | 0.0887094 | − | 0.153649i | |||||
−0.336385 | − | 0.582635i | −0.0193889 | − | 0.0335825i | |||||
2.99939 | + | 5.19510i | 0.172596 | + | 0.298944i | |||||
−11.3467 | −0.651850 | |||||||||
0.461254 | − | 0.717148i | 0.0264548 | − | 0.0411312i | |||||
5.45429 | 0.312311 | |||||||||
−0.336390 | − | 0.582644i | −0.0192301 | − | 0.0333076i | |||||
3.84010 | + | 6.65124i | 0.219166 | + | 0.379607i | 0.954553 | − | 0.298041i | ||
−0.735387 | + | 0.677647i | ||||||||
−3.06499 | + | 5.30872i | −0.174644 | + | 0.302493i | |||||
−11.6207 | − | 20.1277i | −0.661081 | − | 1.14503i | |||||
0.328766 | − | 0.569439i | 0.0186726 | − | 0.0323419i | |||||
−27.9685 | −1.58595 | −0.792973 | − | 0.609257i | ||||||
−0.792973 | + | 0.609257i | ||||||||
−28.4830 | −1.61253 | |||||||||
−14.2525 | + | 24.6860i | −0.805597 | + | 1.39534i | 0.110290 | + | 0.993899i | ||
−0.915887 | + | 0.401436i | ||||||||
−7.90634 | + | 13.6942i | −0.446180 | + | 0.772807i | |||||
3.64734 | 0.205505 | |||||||||
17.1914 | 0.967089 | |||||||||
13.9749 | − | 24.2053i | 0.784909 | − | 1.35950i | −0.144144 | − | 0.989557i | ||
0.929053 | − | 0.369946i | ||||||||
−10.6650 | − | 18.4723i | −0.598064 | − | 1.03588i | |||||
24.3856 | − | 42.2371i | 1.36533 | − | 2.36482i | |||||
2.69597 | + | 4.66957i | 0.150710 | + | 0.261037i | |||||
−21.4104 | − | 37.0838i | −1.19501 | − | 2.06982i | |||||
6.65932 | 0.371110 | |||||||||
0.483831 | − | 0.752250i | 0.0269211 | − | 0.0418563i | |||||
7.91285 | 0.439603 | |||||||||
1.92508 | + | 3.33434i | 0.106784 | + | 0.184956i | |||||
−1.47404 | − | 2.55310i | −0.0816393 | − | 0.141403i | |||||
−9.03075 | + | 15.6417i | −0.499401 | + | 0.864989i | |||||
−9.84314 | − | 17.0488i | −0.543496 | − | 0.941363i | |||||
2.30829 | − | 3.99807i | 0.127260 | − | 0.220421i | |||||
11.9202 | 0.656184 | |||||||||
11.6884 | 0.642455 | 0.321228 | − | 0.947002i | ||||||
0.321228 | + | 0.947002i | ||||||||
−0.494599 | + | 0.856670i | −0.0271446 | + | 0.0470159i | |||||
14.1881 | − | 24.5745i | 0.777503 | − | 1.34667i | |||||
12.7499 | 0.697643 | |||||||||
−0.247717 | −0.0135342 | |||||||||
−0.252175 | + | 0.436779i | −0.0137573 | + | 0.0238283i | |||||
9.10428 | + | 15.7691i | 0.495942 | + | 0.858996i | 0.999989 | − | 0.00467963i | ||
−0.504047 | + | 0.863676i | ||||||||
0.819735 | − | 1.41982i | 0.0445877 | − | 0.0772281i | |||||
18.7248 | + | 32.4324i | 1.01699 | + | 1.76149i | |||||
0.122283 | + | 0.211801i | 0.00663174 | + | 0.0114865i | |||||
−3.76187 | −0.203717 | |||||||||
6.54425 | + | 12.7055i | 0.353873 | + | 0.687035i | |||||
−1.00000 | −0.0539949 | |||||||||
0.965204 | + | 1.67178i | 0.0520403 | + | 0.0901365i | |||||
9.54968 | + | 16.5405i | 0.514138 | + | 0.890513i | |||||
−0.962251 | + | 1.66667i | −0.0517309 | + | 0.0896006i | |||||
−8.76355 | − | 15.1789i | −0.470452 | − | 0.814846i | 0.528977 | − | 0.848636i | ||
−0.999429 | + | 0.0337896i | ||||||||
−14.5704 | + | 25.2366i | −0.781053 | + | 1.35282i | |||||
−14.0006 | −0.749433 | −0.374716 | − | 0.927139i | ||||||
−0.374716 | + | 0.927139i | ||||||||
0.898949 | 0.0480509 | |||||||||
3.21299 | − | 5.56505i | 0.171496 | − | 0.297041i | |||||
14.3051 | − | 24.7771i | 0.762463 | − | 1.32062i | |||||
22.7707 | 1.21196 | 0.605981 | − | 0.795479i | ||||||
0.605981 | + | 0.795479i | ||||||||
25.7384 | 1.36798 | |||||||||
−6.25825 | + | 10.8396i | −0.332153 | + | 0.575306i | |||||
6.23288 | + | 10.7957i | 0.330342 | + | 0.572169i | |||||
−0.264518 | + | 0.458158i | −0.0139998 | + | 0.0242483i | |||||
4.10368 | + | 7.10779i | 0.216886 | + | 0.375658i | |||||
11.2838 | + | 19.5442i | 0.595539 | + | 1.03150i | 0.993471 | + | 0.114088i | ||
−0.397932 | + | 0.917415i | ||||||||
−10.4655 | −0.551580 | |||||||||
−11.0324 | + | 15.4689i | −0.580654 | + | 0.814150i | |||||
1.46677 | 0.0770917 | |||||||||
−19.9186 | − | 34.5000i | −1.04545 | − | 1.81078i | |||||
2.29449 | + | 3.97417i | 0.120264 | + | 0.208303i | |||||
3.74890 | − | 6.49328i | 0.196226 | − | 0.339874i | |||||
−6.32073 | − | 10.9478i | −0.330390 | − | 0.572252i | |||||
0.889012 | − | 1.53981i | 0.0464060 | − | 0.0803776i | −0.841889 | − | 0.539650i | ||
0.888295 | + | 0.459273i | ||||||||
−1.44911 | −0.0755402 | |||||||||
25.0240 | 1.30270 | |||||||||
3.49689 | − | 6.05680i | 0.181795 | − | 0.314878i | |||||
−4.60152 | + | 7.97007i | −0.238899 | + | 0.413785i | |||||
2.24772 | 0.116539 | |||||||||
−15.0180 | −0.777601 | −0.388801 | − | 0.921322i | ||||||
−0.388801 | + | 0.921322i | ||||||||
−0.474339 | + | 0.821580i | −0.0245275 | + | 0.0424829i | |||||
1.28912 | + | 2.23283i | 0.0665700 | + | 0.115303i | |||||
−6.62327 | + | 11.4718i | −0.341569 | + | 0.591615i | |||||
−18.2553 | − | 31.6191i | −0.940196 | − | 1.62847i | |||||
−0.750179 | − | 1.29935i | −0.0385850 | − | 0.0668312i | |||||
−18.5149 | −0.951046 | −0.475523 | − | 0.879703i | ||||||
−0.475523 | + | 0.879703i | ||||||||
−2.37894 | − | 4.61866i | −0.122037 | − | 0.236933i | |||||
41.9234 | 2.14780 | |||||||||
−4.65842 | − | 8.06862i | −0.238345 | − | 0.412826i | |||||
7.05968 | + | 12.2277i | 0.360733 | + | 0.624807i | 0.988082 | − | 0.153931i | ||
−0.627349 | + | 0.778738i | ||||||||
−8.09388 | + | 14.0190i | −0.413039 | + | 0.715405i | |||||
−2.57154 | − | 4.45404i | −0.131058 | − | 0.226999i | |||||
−7.70883 | + | 13.3521i | −0.392369 | + | 0.679603i | |||||
−2.45382 | −0.124735 | |||||||||
9.42855 | 0.478662 | |||||||||
−15.2000 | + | 26.3271i | −0.770668 | + | 1.33484i | 0.166529 | + | 0.986037i | ||
−0.937197 | + | 0.348800i | ||||||||
4.46178 | − | 7.72804i | 0.225931 | − | 0.391324i | |||||
−1.52004 | −0.0768719 | |||||||||
2.86935 | 0.144924 | |||||||||
−8.40689 | + | 14.5612i | −0.424071 | + | 0.734513i | |||||
−7.35514 | − | 12.7395i | −0.370547 | − | 0.641806i | |||||
−7.21180 | + | 12.4912i | −0.362865 | + | 0.628501i | |||||
11.1791 | + | 19.3627i | 0.561770 | + | 0.973014i | |||||
10.3735 | + | 17.9674i | 0.520630 | + | 0.901758i | 0.999712 | + | 0.0239878i | ||
−0.479082 | + | 0.877770i | ||||||||
−22.0590 | −1.10572 | |||||||||
6.07935 | − | 9.45204i | 0.304348 | − | 0.473194i | |||||
−0.195617 | −0.00978087 | |||||||||
−16.7915 | − | 29.0838i | −0.838530 | − | 1.45238i | −0.891124 | − | 0.453760i | ||
0.0525940 | − | 0.998616i | ||||||||
0.287068 | + | 0.497217i | 0.0143177 | + | 0.0247989i | |||||
−1.40809 | + | 2.43888i | −0.0701420 | + | 0.121489i | |||||
−2.62272 | − | 4.54268i | −0.130485 | − | 0.226007i | |||||
−3.31946 | + | 5.74947i | −0.164945 | + | 0.285693i | |||||
−8.52462 | −0.423070 | |||||||||
−40.0129 | −1.98337 | |||||||||
0.758994 | − | 1.31462i | 0.0375758 | − | 0.0650832i | |||||
−5.01751 | + | 8.69058i | −0.248100 | + | 0.429721i | −0.962999 | − | 0.269507i | ||
0.714899 | + | 0.699228i | ||||||||
6.16759 | 0.304596 | |||||||||
21.1522 | 1.04336 | |||||||||
5.37213 | − | 9.30479i | 0.264666 | − | 0.458414i | |||||
−5.55254 | − | 9.61728i | −0.273223 | − | 0.473236i | |||||
12.1444 | − | 21.0348i | 0.596866 | − | 1.03380i | |||||
−0.414970 | − | 0.718749i | −0.0203701 | − | 0.0352820i | |||||
−10.7089 | − | 18.5484i | −0.525049 | − | 0.909411i | |||||
−7.02464 | −0.343998 | |||||||||
10.9016 | − | 16.9496i | 0.533216 | − | 0.829033i | |||||
−10.0105 | −0.489047 | −0.244523 | − | 0.969643i | ||||||
−0.244523 | + | 0.969643i | ||||||||
1.53649 | + | 2.66128i | 0.0749731 | + | 0.129857i | |||||
−18.7230 | − | 32.4293i | −0.912505 | − | 1.58051i | −0.810514 | − | 0.585720i | ||
−0.101991 | − | 0.994785i | ||||||||
6.71907 | − | 11.6378i | 0.327079 | − | 0.566518i | |||||
−8.41911 | − | 14.5823i | −0.409351 | − | 0.709017i | |||||
13.2034 | − | 22.8689i | 0.641212 | − | 1.11061i | |||||
−0.205192 | −0.00995328 | |||||||||
29.0096 | 1.40552 | |||||||||
−2.72714 | + | 4.72355i | −0.131976 | + | 0.228589i | |||||
9.89774 | − | 17.1434i | 0.478425 | − | 0.828657i | |||||
−51.0536 | −2.46489 | |||||||||
−0.604785 | −0.0291653 | |||||||||
17.7805 | − | 30.7967i | 0.856455 | − | 1.48342i | −0.0188341 | − | 0.999823i | ||
0.875289 | − | 0.483601i | ||||||||
0.163244 | + | 0.282747i | 0.00785407 | + | 0.0136037i | |||||
−8.73283 | + | 15.1257i | −0.419673 | + | 0.726895i | −0.995906 | − | 0.0903902i | ||
0.576233 | + | 0.817285i | ||||||||
0.328766 | + | 0.569439i | 0.0157813 | + | 0.0273339i | |||||
−12.2246 | − | 21.1736i | −0.586124 | − | 1.01520i | |||||
−8.34960 | −0.399873 | |||||||||
32.2531 | + | 1.54826i | 1.54288 | + | 0.0740632i | |||||
−17.3777 | −0.830340 | |||||||||
−7.12634 | − | 12.3432i | −0.340121 | − | 0.589108i | 0.644334 | − | 0.764745i | ||
−0.984455 | + | 0.175637i | ||||||||
7.37864 | + | 12.7802i | 0.351763 | + | 0.609271i | |||||
−1.82367 | + | 3.15869i | −0.0868415 | + | 0.150414i | |||||
0.355096 | + | 0.615044i | 0.0168902 | + | 0.0292546i | |||||
4.19589 | − | 7.26750i | 0.199353 | − | 0.345289i | −0.748966 | − | 0.662609i | ||
0.948319 | + | 0.317319i | ||||||||
23.9077 | 1.13461 | |||||||||
−10.4588 | −0.495796 | |||||||||
5.70643 | − | 9.88383i | 0.270207 | − | 0.468013i | |||||
1.74573 | − | 3.02370i | 0.0825704 | − | 0.143016i | |||||
−5.39195 | −0.254746 | |||||||||
−17.4058 | −0.821430 | −0.410715 | − | 0.911764i | ||||||
−0.410715 | + | 0.911764i | ||||||||
1.63939 | − | 2.83950i | 0.0772815 | − | 0.133856i | |||||
−17.6430 | − | 30.5587i | −0.830779 | − | 1.43895i | |||||
−8.65626 | + | 14.9931i | −0.407156 | + | 0.705215i | |||||
−8.60245 | − | 14.8999i | −0.404178 | − | 0.700057i | |||||
−11.3670 | − | 19.6882i | −0.533478 | − | 0.924012i | |||||
−3.85016 | −0.180498 | |||||||||
−17.4438 | + | 27.1212i | −0.816880 | + | 1.27007i | |||||
−8.32491 | −0.389423 | −0.194711 | − | 0.980861i | ||||||
−0.194711 | + | 0.980861i | ||||||||
3.64832 | + | 6.31907i | 0.170475 | + | 0.295271i | |||||
0.171234 | + | 0.296586i | 0.00799253 | + | 0.0138435i | |||||
−4.41470 | + | 7.64648i | −0.205836 | + | 0.356519i | |||||
10.3502 | + | 17.9270i | 0.482056 | + | 0.834945i | 0.999788 | − | 0.0205975i | ||
−0.517732 | + | 0.855543i | ||||||||
−5.96009 | + | 10.3232i | −0.277288 | + | 0.480277i | |||||
38.7290 | 1.79989 | 0.899946 | − | 0.436002i | ||||||
0.899946 | + | 0.436002i | ||||||||
1.85501 | 0.0861168 | |||||||||
−0.942921 | + | 1.63319i | −0.0437269 | + | 0.0757372i | |||||
−4.43722 | + | 7.68549i | −0.205550 | + | 0.356024i | |||||
−27.8673 | −1.28954 | −0.644772 | − | 0.764375i | ||||||
−0.644772 | + | 0.764375i | ||||||||
16.7376 | 0.773694 | |||||||||
0.123859 | − | 0.214529i | 0.00571925 | − | 0.00990604i | |||||
−2.07503 | − | 3.59406i | −0.0957141 | − | 0.165782i | |||||
22.6759 | − | 39.2758i | 1.04485 | − | 1.80973i | |||||
15.9322 | + | 27.5953i | 0.733338 | + | 1.27018i | |||||
1.73005 | + | 2.99654i | 0.0795479 | + | 0.137781i | |||||
33.4298 | 1.53548 | |||||||||
4.35389 | + | 0.209001i | 0.199770 | + | 0.00958962i | |||||
−0.244567 | −0.0112097 | |||||||||
16.7833 | + | 29.0696i | 0.768456 | + | 1.33101i | |||||
3.42649 | + | 5.93485i | 0.156724 | + | 0.271454i | |||||
7.12617 | − | 12.3429i | 0.325603 | − | 0.563961i | −0.656031 | − | 0.754734i | ||
0.981634 | + | 0.190773i | ||||||||
−7.17119 | − | 12.4209i | −0.327318 | − | 0.566932i | |||||
−14.9771 | + | 25.9410i | −0.682895 | + | 1.18281i | |||||
4.13614 | 0.188396 | |||||||||
−19.0994 | −0.869051 | |||||||||
9.20810 | − | 15.9489i | 0.418550 | − | 0.724950i | |||||
−3.95529 | + | 6.85077i | −0.179601 | + | 0.311077i | |||||
19.8882 | 0.902145 | |||||||||
−4.89811 | −0.221954 | −0.110977 | − | 0.993823i | ||||||
−0.110977 | + | 0.993823i | ||||||||
7.82512 | − | 13.5535i | 0.354227 | − | 0.613538i | |||||
4.22763 | + | 7.32247i | 0.191180 | + | 0.331134i | |||||
−0.449475 | + | 0.778513i | −0.0203052 | + | 0.0351696i | |||||
−14.0040 | − | 24.2556i | −0.631991 | − | 1.09464i | −0.987144 | − | 0.159832i | ||
0.355153 | − | 0.934808i | ||||||||
10.5417 | + | 18.2588i | 0.475257 | + | 0.823169i | |||||
1.94581 | 0.0876349 | |||||||||
−6.90816 | − | 13.4120i | −0.310813 | − | 0.603436i | |||||
−18.7586 | −0.843135 | |||||||||
−0.0715416 | − | 0.123914i | −0.00321231 | − | 0.00556389i | |||||
−6.25825 | − | 10.8396i | −0.280721 | − | 0.486223i | |||||
−0.961781 | + | 1.66585i | −0.0430984 | + | 0.0746487i | |||||
8.22239 | + | 14.2416i | 0.368085 | + | 0.637541i | 0.989266 | − | 0.146125i | ||
−0.621181 | + | 0.783667i | ||||||||
−0.595945 | + | 1.03221i | −0.0266515 | + | 0.0461617i | |||||
−36.5675 | −1.63372 | |||||||||
−13.8220 | −0.616908 | |||||||||
−1.53064 | + | 2.65115i | −0.0682479 | + | 0.118209i | −0.898130 | − | 0.439730i | ||
0.829882 | + | 0.557939i | ||||||||
5.23275 | − | 9.06339i | 0.233085 | − | 0.403715i | |||||
4.40094 | 0.195839 | |||||||||
−34.2494 | −1.52257 | |||||||||
−2.35105 | + | 4.07214i | −0.104414 | + | 0.180850i | |||||
9.69033 | + | 16.7841i | 0.429939 | + | 0.744676i | |||||
−4.44259 | + | 7.69478i | −0.196914 | + | 0.341065i | −0.947526 | − | 0.319678i | ||
0.750612 | + | 0.660743i | ||||||||
0.237788 | + | 0.411861i | 0.0105294 | + | 0.0182375i | |||||
3.74890 | + | 6.49328i | 0.165842 | + | 0.287246i | |||||
2.21078 | 0.0977035 | |||||||||
−3.33125 | − | 6.46755i | −0.147078 | − | 0.285549i | |||||
18.4853 | 0.815352 | |||||||||
4.50723 | + | 7.80675i | 0.198612 | + | 0.344007i | |||||
−1.03370 | − | 1.79043i | −0.0455063 | − | 0.0788192i | |||||
−11.8717 | + | 20.5624i | −0.522117 | + | 0.904333i | |||||
3.49689 | + | 6.05680i | 0.153645 | + | 0.266120i | |||||
2.75980 | − | 4.78011i | 0.121142 | − | 0.209824i | |||||
11.0475 | 0.484463 | |||||||||
23.3072 | 1.02111 | 0.510554 | − | 0.859845i | ||||||
0.510554 | + | 0.859845i | ||||||||
−15.5461 | + | 26.9267i | −0.680435 | + | 1.17855i | |||||
7.22339 | − | 12.5113i | 0.315857 | − | 0.547080i | −0.663762 | − | 0.747944i | ||
0.979619 | + | 0.200863i | ||||||||
−7.77280 | −0.339556 | |||||||||
−2.57824 | −0.112524 | |||||||||
2.18266 | − | 3.78048i | 0.0951686 | − | 0.164837i | |||||
−0.0750433 | − | 0.129979i | −0.00326894 | − | 0.00566197i | |||||
1.29695 | − | 2.24639i | 0.0564427 | − | 0.0977616i | |||||
−15.9385 | − | 27.6062i | −0.692977 | − | 1.20027i | |||||
4.13654 | + | 7.16469i | 0.179680 | + | 0.311214i | |||||
−40.5041 | −1.75773 | |||||||||
5.18935 | + | 0.249106i | 0.224987 | + | 0.0108001i | |||||
−26.4156 | −1.14418 | |||||||||
12.1203 | + | 20.9929i | 0.524495 | + | 0.908452i | |||||
8.30424 | + | 14.3834i | 0.359023 | + | 0.621847i | |||||
−0.355393 | + | 0.615559i | −0.0153506 | + | 0.0265881i | |||||
−11.7696 | − | 20.3856i | −0.507897 | − | 0.879703i | |||||
−14.6459 | + | 25.3674i | −0.631430 | + | 1.09367i | |||||
5.14308 | 0.221528 | |||||||||
1.98928 | 0.0856050 | |||||||||
−3.50768 | + | 6.07549i | −0.150807 | + | 0.261206i | −0.931524 | − | 0.363679i | ||
0.780717 | + | 0.624884i | ||||||||
−9.04932 | + | 15.6739i | −0.388701 | + | 0.673251i | |||||
−4.20679 | −0.180531 | |||||||||
1.14145 | 0.0489394 | |||||||||
3.50267 | − | 6.06681i | 0.150038 | − | 0.259873i | |||||
4.46178 | + | 7.72804i | 0.190947 | + | 0.330729i | |||||
5.91376 | − | 10.2429i | 0.252854 | − | 0.437956i | −0.711456 | − | 0.702730i | ||
0.964310 | + | 0.264774i | ||||||||
4.88920 | + | 8.46834i | 0.208856 | + | 0.361750i | |||||
9.94683 | + | 17.2284i | 0.424520 | + | 0.735291i | |||||
−4.62337 | −0.197141 | |||||||||
−41.2873 | − | 1.98193i | −1.75890 | − | 0.0844330i | |||||
54.8027 | 2.33256 | |||||||||
−7.21180 | − | 12.4912i | −0.306677 | − | 0.531180i | |||||
2.79409 | + | 4.83951i | 0.118710 | + | 0.205611i | |||||
−10.0293 | + | 17.3713i | −0.425721 | + | 0.737370i | |||||
−1.62370 | − | 2.81233i | −0.0688603 | − | 0.119270i | |||||
0.370894 | − | 0.642408i | 0.0157153 | − | 0.0272197i | −0.858061 | − | 0.513548i | ||
0.873776 | + | 0.486328i | ||||||||
2.39824 | 0.101526 | |||||||||
2.59027 | 0.109557 | |||||||||
0.0978087 | − | 0.169410i | 0.00413317 | − | 0.00715886i | |||||
1.36044 | − | 2.35634i | 0.0574377 | − | 0.0994849i | |||||
0.757673 | 0.0319605 | |||||||||
0.676831 | 0.0285250 | 0.0142625 | − | 0.999898i | ||||||
0.0142625 | + | 0.999898i | ||||||||
7.09333 | − | 12.2860i | 0.298683 | − | 0.517334i | |||||
−7.26263 | − | 12.5793i | −0.305541 | − | 0.529213i | |||||
−4.60012 | + | 7.96765i | −0.193358 | + | 0.334905i | |||||
−3.31946 | − | 5.74947i | −0.139404 | − | 0.241455i | |||||
17.9571 | + | 31.1026i | 0.753463 | + | 1.30504i | |||||
−20.2579 | −0.849254 | −0.424627 | − | 0.905368i | ||||||
−0.424627 | + | 0.905368i | ||||||||
−4.62602 | − | 8.98131i | −0.193763 | − | 0.376186i | |||||
−33.4378 | −1.39933 | −0.699664 | − | 0.714472i | ||||||
−0.699664 | + | 0.714472i | ||||||||
−11.8007 | − | 20.4395i | −0.493413 | − | 0.854616i | |||||
13.3606 | + | 23.1413i | 0.558149 | + | 0.966742i | |||||
−3.08380 | + | 5.34129i | −0.128715 | + | 0.222941i | |||||
−3.70395 | − | 6.41543i | −0.154465 | − | 0.267542i | |||||
−9.83315 | + | 17.0315i | −0.409715 | + | 0.709646i | |||||
−30.1620 | −1.25566 | −0.627831 | − | 0.778350i | ||||||
−0.627831 | + | 0.778350i | ||||||||
15.2443 | 0.634079 | |||||||||
22.1094 | − | 38.2946i | 0.918836 | − | 1.59147i | |||||
5.65127 | − | 9.78829i | 0.234656 | − | 0.406437i | |||||
0.829940 | 0.0344317 | |||||||||
18.3344 | 0.759987 | |||||||||
23.6660 | − | 40.9907i | 0.980145 | − | 1.69766i | |||||
−10.7569 | − | 18.6315i | −0.445123 | − | 0.770976i | |||||
−7.02144 | + | 12.1615i | −0.290301 | + | 0.502816i | |||||
9.55116 | + | 16.5431i | 0.394555 | + | 0.683389i | |||||
18.1720 | + | 31.4749i | 0.750041 | + | 1.29911i | 0.947802 | + | 0.318858i | ||
−0.197762 | + | 0.980250i | ||||||||
−3.07298 | −0.126728 | |||||||||
1.45992 | + | 2.83440i | 0.0601550 | + | 0.116789i | |||||
−9.98291 | −0.410990 | |||||||||
21.0950 | + | 36.5376i | 0.867733 | + | 1.50296i | |||||
−0.760947 | − | 1.31800i | −0.0312747 | − | 0.0541694i | |||||
12.1308 | − | 21.0112i | 0.498152 | − | 0.862825i | −0.501846 | − | 0.864957i | ||
0.999998 | + | 0.00213255i | ||||||||
3.85823 | + | 6.68265i | 0.158305 | + | 0.274192i | |||||
0.102596 | − | 0.177702i | 0.00420603 | − | 0.00728506i | |||||
1.61406 | 0.0661146 | |||||||||
63.2665 | 2.58933 | |||||||||
−12.8197 | + | 22.2044i | −0.524238 | + | 0.908007i | |||||
−1.79859 | + | 3.11525i | −0.0734884 | + | 0.127286i | −0.900428 | − | 0.435005i | ||
0.826940 | + | 0.562291i | ||||||||
7.39788 | 0.302017 | |||||||||
−23.7977 | −0.970728 | −0.485364 | − | 0.874312i | ||||||
−0.485364 | + | 0.874312i | ||||||||
0.302393 | − | 0.523760i | 0.0123246 | − | 0.0213468i | |||||
−0.451755 | − | 0.782462i | −0.0183969 | − | 0.0318643i | |||||
3.97680 | − | 6.88803i | 0.161814 | − | 0.280270i | |||||
7.72563 | + | 13.3812i | 0.314092 | + | 0.544022i | |||||
−5.10005 | − | 8.83354i | −0.207175 | − | 0.358838i | |||||
29.2133 | 1.18573 | 0.592865 | − | 0.805302i | ||||||
0.592865 | + | 0.805302i | ||||||||
−24.2200 | − | 1.16264i | −0.982250 | − | 0.0471512i | |||||
24.4492 | 0.990730 | |||||||||
2.45156 | + | 4.24623i | 0.0992609 | + | 0.171925i | |||||
8.88728 | + | 15.3932i | 0.359541 | + | 0.622743i | |||||
−0.446009 | + | 0.772511i | −0.0180289 | + | 0.0312269i | |||||
−4.20111 | − | 7.27653i | −0.169681 | − | 0.293896i | 0.768627 | − | 0.639698i | ||
−0.938308 | + | 0.345801i | ||||||||
−3.45205 | + | 5.97913i | −0.139314 | + | 0.241298i | |||||
−17.6891 | −0.713291 | |||||||||
−14.7573 | −0.594588 | |||||||||
11.9907 | − | 20.7685i | 0.482727 | − | 0.836107i | −0.517077 | − | 0.855939i | ||
0.999803 | + | 0.0198319i | ||||||||
10.4465 | − | 18.0938i | 0.420218 | − | 0.727839i | |||||
−31.7596 | −1.27652 | −0.638262 | − | 0.769819i | ||||||
−0.638262 | + | 0.769819i | ||||||||
−0.871801 | −0.0350124 | |||||||||
−6.18193 | + | 10.7074i | −0.248073 | + | 0.429674i | |||||
−12.5711 | − | 21.7738i | −0.504056 | − | 0.873050i | |||||
5.22941 | − | 9.05760i | 0.209512 | − | 0.362885i | |||||
−0.970914 | − | 1.68167i | −0.0388677 | − | 0.0673207i | |||||
−0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | |||||
−25.6245 | −1.02416 | |||||||||
−31.2666 | + | 48.6126i | −1.24867 | + | 1.94140i | |||||
20.9656 | 0.836617 | |||||||||
−0.798194 | − | 1.38251i | −0.0318261 | − | 0.0551244i | |||||
1.63939 | + | 2.83950i | 0.0653148 | + | 0.113129i | |||||
15.1261 | − | 26.1992i | 0.602162 | − | 1.04298i | −0.390331 | − | 0.920675i | ||
0.992493 | − | 0.122301i | ||||||||
20.6932 | + | 35.8416i | 0.823130 | + | 1.42570i | |||||
−19.2707 | + | 33.3779i | −0.765943 | + | 1.32665i | |||||
25.1255 | 0.997860 | |||||||||
−16.2604 | −0.645276 | |||||||||
−14.1404 | + | 24.4919i | −0.560704 | + | 0.971167i | |||||
1.92508 | − | 3.33434i | 0.0762745 | − | 0.132111i | |||||
43.8428 | 1.73575 | |||||||||
−45.6520 | −1.80596 | |||||||||
3.13930 | − | 5.43743i | 0.124092 | − | 0.214933i | |||||
10.9228 | + | 18.9188i | 0.431424 | + | 0.747248i | 0.996996 | − | 0.0774504i | ||
−0.565572 | + | 0.824699i | ||||||||
19.2468 | − | 33.3365i | 0.759611 | − | 1.31569i | |||||
−1.84990 | − | 3.20412i | −0.0729528 | − | 0.126358i | 0.827241 | − | 0.561847i | ||
−0.900194 | + | 0.435489i | ||||||||
−4.41470 | − | 7.64648i | −0.173964 | − | 0.301314i | |||||
1.73456 | 0.0682984 | |||||||||
0.803106 | + | 0.0385517i | 0.0315978 | + | 0.00151680i | |||||
−7.45842 | −0.293221 | −0.146610 | − | 0.989194i | ||||||
−0.146610 | + | 0.989194i | ||||||||
9.52467 | + | 16.4972i | 0.374164 | + | 0.648072i | |||||
28.5572 | + | 49.4625i | 1.12097 | + | 1.94157i | |||||
−1.73055 | + | 2.99740i | −0.0678778 | + | 0.117568i | |||||
−0.942921 | − | 1.63319i | −0.0369560 | − | 0.0640096i | |||||
−1.95438 | + | 3.38509i | −0.0765394 | + | 0.132570i | |||||
11.0195 | 0.431228 | 0.215614 | − | 0.976479i | ||||||
0.215614 | + | 0.976479i | ||||||||
−16.2364 | −0.634892 | |||||||||
3.26070 | − | 5.64770i | 0.127406 | − | 0.220674i | |||||
0.671054 | − | 1.16230i | 0.0262003 | − | 0.0453802i | |||||
27.3471 | 1.06691 | |||||||||
4.15006 | 0.161786 | |||||||||
−6.22758 | + | 10.7865i | −0.242592 | + | 0.420182i | −0.961452 | − | 0.274973i | ||
0.718860 | + | 0.695155i | ||||||||
−7.90230 | − | 13.6872i | −0.307597 | − | 0.532773i | |||||
−2.02257 | + | 3.50320i | −0.0786690 | + | 0.136259i | −0.902676 | − | 0.430321i | ||
0.824007 | + | 0.566580i | ||||||||
5.25366 | + | 9.09961i | 0.204189 | + | 0.353666i | |||||
−1.01844 | − | 1.76398i | −0.0395528 | − | 0.0685075i | |||||
−2.38139 | −0.0924157 | |||||||||
−2.35794 | + | 3.66608i | −0.0914371 | + | 0.142164i | |||||
25.5088 | 0.988444 | |||||||||
35.1241 | + | 60.8367i | 1.36001 | + | 2.35560i | |||||
−8.45235 | − | 14.6399i | −0.327031 | − | 0.566435i | |||||
−16.3664 | + | 28.3475i | −0.632762 | + | 1.09598i | |||||
−0.111343 | − | 0.192851i | −0.00430154 | − | 0.00745048i | |||||
14.0259 | − | 24.2936i | 0.541464 | − | 0.937844i | |||||
14.3424 | 0.553269 | |||||||||
−42.5842 | −1.64150 | −0.820750 | − | 0.571288i | ||||||
−0.820750 | + | 0.571288i | ||||||||
−8.18429 | + | 14.1756i | −0.315247 | + | 0.546024i | |||||
−0.834506 | + | 1.44541i | −0.0321202 | + | 0.0556337i | |||||
−2.17372 | −0.0836048 | |||||||||
5.25248 | 0.201869 | 0.100935 | − | 0.994893i | ||||||
0.100935 | + | 0.994893i | ||||||||
−16.8327 | + | 29.1551i | −0.646455 | + | 1.11969i | |||||
−3.95529 | − | 6.85077i | −0.151790 | − | 0.262908i | |||||
−0.294384 | + | 0.509888i | −0.0112891 | + | 0.0195533i | |||||
32.6012 | + | 56.4669i | 1.24928 | + | 2.16382i | |||||
−1.69087 | − | 2.92867i | −0.0647467 | − | 0.112144i | |||||
−13.3623 | −0.511293 | −0.255647 | − | 0.966770i | ||||||
−0.255647 | + | 0.966770i | ||||||||
10.2505 | − | 15.9373i | 0.391939 | − | 0.609377i | |||||
−8.20411 | −0.313463 | |||||||||
−0.449475 | − | 0.778513i | −0.0171610 | − | 0.0297238i | |||||
−10.4636 | − | 18.1235i | −0.399212 | − | 0.691455i | |||||
−0.0658027 | + | 0.113974i | −0.00250870 | + | 0.00434520i | |||||
−17.7166 | − | 30.6861i | −0.674949 | − | 1.16905i | |||||
−8.58468 | + | 14.8691i | −0.326813 | + | 0.566057i | |||||
0.0588850 | 0.00224009 | 0.00112005 | − | 0.999999i | ||||||
0.00112005 | + | 0.999999i | ||||||||
2.55164 | 0.0969988 | |||||||||
9.37929 | − | 16.2454i | 0.356290 | − | 0.617112i | |||||
7.87798 | − | 13.6451i | 0.299044 | − | 0.517960i | |||||
2.72458 | 0.103349 | |||||||||
−70.1531 | −2.65915 | |||||||||
0.703901 | − | 1.21919i | 0.0266621 | − | 0.0461802i | |||||
−6.29290 | − | 10.8996i | −0.238190 | − | 0.412557i | |||||
12.7262 | − | 22.0425i | 0.481351 | − | 0.833724i | |||||
−0.595945 | − | 1.03221i | −0.0225246 | − | 0.0390138i | |||||
−10.2350 | − | 17.7276i | −0.386572 | − | 0.669562i | 0.605414 | − | 0.795911i | ||
−0.991986 | + | 0.126349i | ||||||||
5.77662 | 0.218025 | |||||||||
15.5284 | + | 30.1479i | 0.585663 | + | 1.13705i | |||||
27.7312 | 1.04516 | |||||||||
5.95133 | + | 10.3080i | 0.224140 | + | 0.388222i | |||||
10.2349 | + | 17.7273i | 0.385194 | + | 0.667175i | |||||
−2.20047 | + | 3.81132i | −0.0827571 | + | 0.143340i | |||||
−17.0629 | − | 29.5538i | −0.641262 | − | 1.11070i | |||||
−4.43682 | + | 7.68480i | −0.166628 | + | 0.288609i | −0.937232 | − | 0.348705i | ||
0.770604 | + | 0.637314i | ||||||||
−11.2517 | −0.422269 | |||||||||
−52.6079 | −1.97295 | |||||||||
−15.0050 | + | 25.9894i | −0.562336 | + | 0.973994i | |||||
2.70923 | − | 4.69253i | 0.101462 | − | 0.175736i | |||||
−0.475576 | −0.0177980 | |||||||||
19.8017 | 0.740541 | |||||||||
5.44095 | − | 9.42401i | 0.203338 | − | 0.352192i | |||||
−9.82738 | − | 17.0215i | −0.367010 | − | 0.635681i | |||||
−10.1436 | + | 17.5692i | −0.378556 | + | 0.655678i | |||||
19.7370 | + | 34.1854i | 0.736064 | + | 1.27490i | 0.954255 | + | 0.298994i | ||
−0.218191 | + | 0.975906i | ||||||||
−0.356742 | − | 0.617895i | −0.0132950 | − | 0.0230276i | |||||
−9.01446 | −0.335716 | |||||||||
−17.0015 | − | 1.63603i | −0.632730 | − | 0.0608866i | |||||
−11.8627 | −0.441179 | |||||||||
−0.972373 | − | 1.68420i | −0.0361380 | − | 0.0625928i | |||||
4.74144 | + | 8.21241i | 0.176092 | + | 0.305001i | |||||
17.9058 | − | 31.0137i | 0.664546 | − | 1.15103i | |||||
3.33774 | + | 5.78113i | 0.123790 | + | 0.214410i | 0.921259 | − | 0.388949i | ||
−0.797469 | + | 0.603359i | ||||||||
−5.52373 | + | 9.56738i | −0.204723 | + | 0.354591i | |||||
−37.1238 | −1.37495 | |||||||||
6.74014 | 0.249464 | |||||||||
−0.0690235 | + | 0.119552i | −0.00255293 | + | 0.00442180i | |||||
−8.38047 | + | 14.5154i | −0.309751 | + | 0.536504i | |||||
36.8621 | 1.36153 | 0.680767 | − | 0.732500i | ||||||
0.680767 | + | 0.732500i | ||||||||
1.59835 | 0.0589963 | |||||||||
1.28912 | − | 2.23283i | 0.0475500 | − | 0.0823590i | |||||
20.6045 | + | 35.6880i | 0.759492 | + | 1.31548i | |||||
−0.637014 | + | 1.10334i | −0.0234647 | + | 0.0406421i | |||||
11.2477 | + | 19.4815i | 0.414032 | + | 0.717125i | |||||
−6.04188 | − | 10.4648i | −0.222254 | − | 0.384955i | 0.733238 | − | 0.679972i | ||
−0.955492 | + | 0.295017i | ||||||||
−9.27286 | −0.340877 | |||||||||
19.8131 | + | 38.4666i | 0.727851 | + | 1.41310i | |||||
−8.27307 | −0.303714 | |||||||||
23.5257 | + | 40.7476i | 0.863073 | + | 1.49489i | 0.868948 | + | 0.494903i | ||
−0.00587526 | + | 0.999983i | ||||||||
2.70557 | + | 4.68618i | 0.0991909 | + | 0.171804i | |||||
−0.677102 | + | 1.17277i | −0.0248071 | + | 0.0429671i | |||||
−6.75020 | − | 11.6917i | −0.247142 | − | 0.428063i | |||||
1.51354 | − | 2.62153i | 0.0553775 | − | 0.0959166i | |||||
1.25783 | 0.0459906 | |||||||||
−16.6085 | −0.606860 | |||||||||
−1.15886 | + | 2.00720i | −0.0423154 | + | 0.0732925i | |||||
−17.9734 | + | 31.1308i | −0.655858 | + | 1.13598i | 0.325820 | + | 0.945432i | ||
−0.981678 | + | 0.190547i | ||||||||
−0.903081 | −0.0329320 | |||||||||
39.6425 | 1.44465 | |||||||||
16.4106 | − | 28.4240i | 0.597638 | − | 1.03514i | |||||
3.33655 | + | 5.77908i | 0.121430 | + | 0.210322i | |||||
−0.994640 | + | 1.72277i | −0.0361747 | + | 0.0626564i | |||||
2.42069 | + | 4.19276i | 0.0879816 | + | 0.152389i | 0.906658 | − | 0.421867i | ||
−0.818676 | + | 0.574255i | ||||||||
−8.32197 | − | 14.4141i | −0.302268 | − | 0.523543i | |||||
98.2296 | 3.56551 | |||||||||
6.76576 | − | 10.5192i | 0.245420 | − | 0.381573i | |||||
−7.79923 | −0.282722 | −0.141361 | − | 0.989958i | ||||||
−0.141361 | + | 0.989958i | ||||||||
18.8435 | + | 32.6379i | 0.682628 | + | 1.18235i | |||||
3.50267 | + | 6.06681i | 0.126805 | + | 0.219633i | |||||
−6.17646 | + | 10.6979i | −0.223456 | + | 0.387038i | |||||
−0.374203 | − | 0.648139i | −0.0135293 | − | 0.0234335i | |||||
−6.34629 | + | 10.9921i | −0.229301 | + | 0.397161i | |||||
42.7564 | 1.54384 | |||||||||
−42.3555 | −1.52837 | |||||||||
5.52927 | − | 9.57697i | 0.199390 | − | 0.345354i | −0.748940 | − | 0.662637i | ||
0.948331 | + | 0.317283i | ||||||||
2.31168 | − | 4.00395i | 0.0833073 | − | 0.144292i | |||||
−53.0171 | −1.90936 | |||||||||
20.4418 | 0.735717 | |||||||||
26.3084 | − | 45.5676i | 0.946249 | − | 1.63895i | 0.193017 | − | 0.981195i | ||
0.753232 | − | 0.657756i | ||||||||
−1.10293 | − | 1.91033i | −0.0396440 | − | 0.0686654i | |||||
0.365722 | − | 0.633449i | 0.0131371 | − | 0.0227542i | |||||
11.3491 | + | 19.6572i | 0.407409 | + | 0.705653i | |||||
−10.0293 | − | 17.3713i | −0.359800 | − | 0.623192i | |||||
−27.3280 | −0.979756 | |||||||||
−16.1776 | + | 25.1525i | −0.579622 | + | 0.901183i | |||||
−11.8315 | −0.423635 | |||||||||
32.1867 | + | 55.7489i | 1.15173 | + | 1.99485i | |||||
−0.683221 | − | 1.18337i | −0.0244319 | − | 0.0423173i | |||||
7.91351 | − | 13.7066i | 0.282806 | − | 0.489834i | |||||
0.0978087 | + | 0.169410i | 0.00349317 | + | 0.00605034i | |||||
−8.79509 | + | 15.2335i | −0.313910 | + | 0.543708i | |||||
−15.1147 | −0.539125 | |||||||||
−27.5014 | −0.980320 | −0.490160 | − | 0.871633i | ||||||
−0.490160 | + | 0.871633i | ||||||||
−9.75196 | + | 16.8909i | −0.347399 | + | 0.601713i | |||||
−6.26001 | + | 10.8427i | −0.222862 | + | 0.386009i | |||||
−12.9661 | −0.461313 | |||||||||
14.5253 | 0.516459 | |||||||||
−26.9124 | + | 46.6137i | −0.956292 | + | 1.65635i | |||||
−10.4999 | − | 18.1864i | −0.372864 | − | 0.645819i | |||||
−9.32523 | + | 16.1518i | −0.330940 | + | 0.573205i | |||||
−11.8639 | − | 20.5488i | −0.420767 | − | 0.728791i | |||||
14.6237 | + | 25.3289i | 0.518322 | + | 0.897760i | |||||
6.17377 | 0.218686 | 0.109343 | − | 0.994004i | ||||||
0.109343 | + | 0.994004i | ||||||||
10.0910 | + | 0.484404i | 0.357219 | + | 0.0171477i | |||||
−0.947285 | −0.0335125 | |||||||||
2.78142 | + | 4.81756i | 0.0983381 | + | 0.170327i | |||||
−19.0735 | − | 33.0362i | −0.673927 | − | 1.16728i | |||||
15.0947 | − | 26.1449i | 0.533014 | − | 0.923207i | |||||
−19.2809 | − | 33.3955i | −0.680408 | − | 1.17850i | |||||
0.380615 | − | 0.659245i | 0.0134233 | − | 0.0232498i | |||||
7.40790 | 0.261094 | |||||||||
−2.53160 | −0.0891719 | |||||||||
42.0054 | − | 72.7555i | 1.47866 | − | 2.56111i | |||||
6.31391 | − | 10.9360i | 0.222122 | − | 0.384727i | |||||
19.5098 | 0.685929 | 0.342965 | − | 0.939348i | ||||||
0.342965 | + | 0.939348i | ||||||||
−5.96804 | −0.209696 | |||||||||
−17.6289 | + | 30.5342i | −0.619035 | + | 1.07220i | 0.370627 | + | 0.928782i | ||
−0.989662 | + | 0.143418i | ||||||||
5.65127 | + | 9.78829i | 0.198321 | + | 0.343502i | |||||
25.9540 | − | 44.9537i | 0.910247 | − | 1.57659i | |||||
−17.9848 | − | 31.1506i | −0.630367 | − | 1.09183i | |||||
−1.63973 | − | 2.84010i | −0.0574373 | − | 0.0994843i | |||||
0.103489 | 0.00362282 | |||||||||
1.58635 | − | 2.46642i | 0.0554994 | − | 0.0862892i | |||||
−9.02097 | −0.315411 | |||||||||
−7.02144 | − | 12.1615i | −0.245349 | − | 0.424957i | |||||
−4.08871 | − | 7.08186i | −0.142784 | − | 0.247309i | |||||
24.7877 | − | 42.9336i | 0.865098 | − | 1.49839i | −0.00185115 | − | 0.999998i | ||
0.866949 | − | 0.498396i | ||||||||
9.50738 | + | 16.4673i | 0.331608 | + | 0.574362i | |||||
4.12266 | − | 7.14065i | 0.143707 | − | 0.248907i | −0.785183 | − | 0.619264i | ||
0.928890 | + | 0.370356i | ||||||||
25.8656 | 0.901072 | |||||||||
13.2601 | 0.461658 | |||||||||
4.99145 | − | 8.64545i | 0.173675 | − | 0.300814i | |||||
−15.0609 | + | 26.0863i | −0.523720 | + | 0.907110i | 0.475898 | + | 0.879500i | ||
−0.999619 | + | 0.0276099i | ||||||||
−32.2039 | −1.11916 | |||||||||
−10.2027 | −0.354356 | −0.177178 | − | 0.984179i | ||||||
−0.177178 | + | 0.984179i | ||||||||
0.373037 | − | 0.646119i | 0.0129483 | − | 0.0224271i | |||||
−8.01364 | − | 13.8800i | −0.277990 | − | 0.481493i | |||||
10.3799 | − | 17.9786i | 0.359860 | − | 0.623296i | |||||
0.102596 | + | 0.177702i | 0.00355474 | + | 0.00615700i | |||||
−3.15740 | − | 5.46877i | −0.109332 | − | 0.189368i | |||||
14.1831 | 0.490826 | |||||||||
−26.6893 | − | 1.28117i | −0.923067 | − | 0.0443103i | |||||
−1.22079 | −0.0421966 | |||||||||
−4.49948 | − | 7.79334i | −0.155432 | − | 0.269216i | |||||
1.84232 | + | 3.19100i | 0.0636041 | + | 0.110166i | 0.896074 | − | 0.443905i | ||
−0.832470 | + | 0.554070i | ||||||||
−3.69894 | + | 6.40675i | −0.127626 | + | 0.221054i | |||||
−30.4624 | − | 52.7625i | −1.05043 | − | 1.81940i | |||||
16.8311 | − | 29.1523i | 0.580037 | − | 1.00465i | |||||
−2.17305 | −0.0748440 | |||||||||
−17.8172 | −0.613295 | |||||||||
0.911881 | − | 1.57942i | 0.0313697 | − | 0.0543338i | |||||
7.56836 | − | 13.1088i | 0.260205 | − | 0.450689i | |||||
−15.4513 | −0.530912 | |||||||||
1.80028 | 0.0618217 | |||||||||
13.1935 | − | 22.8517i | 0.452798 | − | 0.784269i | |||||
−0.0922287 | − | 0.159745i | −0.00316342 | − | 0.00547920i | |||||
28.8166 | − | 49.9118i | 0.987819 | − | 1.71095i | |||||
−19.2315 | − | 33.3099i | −0.658860 | − | 1.14118i | |||||
−5.18112 | − | 8.97396i | −0.177398 | − | 0.307263i | 0.763590 | − | 0.645701i | ||
−0.940989 | + | 0.338438i | ||||||||
−4.90313 | −0.167782 | |||||||||
7.27989 | + | 14.1337i | 0.248967 | + | 0.483364i | |||||
47.6555 | 1.62883 | |||||||||
−16.5120 | − | 28.5996i | −0.564038 | − | 0.976943i | −0.997138 | − | 0.0755969i | ||
0.433100 | − | 0.901346i | ||||||||
−22.9473 | − | 39.7459i | −0.783408 | − | 1.35690i | |||||
11.6235 | − | 20.1326i | 0.396590 | − | 0.686914i | −0.596713 | − | 0.802455i | ||
0.993303 | + | 0.115541i | ||||||||
0.400934 | + | 0.694437i | 0.0136717 | + | 0.0236801i | |||||
8.84453 | − | 15.3192i | 0.301421 | − | 0.522076i | |||||
31.9675 | 1.08882 | |||||||||
−12.0873 | −0.411456 | −0.205728 | − | 0.978609i | ||||||
−0.205728 | + | 0.978609i | ||||||||
4.64223 | − | 8.04057i | 0.157932 | − | 0.273546i | |||||
−1.07042 | + | 1.85402i | −0.0363953 | + | 0.0630385i | |||||
−15.7007 | −0.533533 | |||||||||
−43.7216 | −1.48486 | |||||||||
0.435901 | − | 0.755002i | 0.0147954 | − | 0.0256264i | |||||
37.0909 | + | 64.2433i | 1.25822 | + | 2.17930i | |||||
10.9893 | − | 19.0340i | 0.372571 | − | 0.645313i | |||||
0.476876 | + | 0.825973i | 0.0161583 | + | 0.0279870i | |||||
−10.0504 | − | 17.4078i | −0.340349 | − | 0.589502i | |||||
−28.8526 | −0.976513 | |||||||||
13.2916 | + | 25.8054i | 0.449596 | + | 0.872880i | |||||
1.00000 | 0.0338062 | |||||||||
11.5203 | + | 19.9538i | 0.389235 | + | 0.674175i | |||||
−11.1628 | − | 19.3345i | −0.376941 | − | 0.652881i | 0.613674 | − | 0.789559i | ||
−0.990616 | + | 0.136678i | ||||||||
6.40621 | − | 11.0959i | 0.216199 | − | 0.374468i | |||||
−27.3933 | − | 47.4467i | −0.923954 | − | 1.60034i | |||||
−0.503038 | + | 0.871287i | −0.0169574 | + | 0.0293711i | |||||
32.3319 | 1.08929 | 0.544644 | − | 0.838667i | ||||||
0.544644 | + | 0.838667i | ||||||||
−3.27878 | −0.110402 | |||||||||
5.72275 | − | 9.91209i | 0.192586 | − | 0.333568i | −0.753521 | − | 0.657424i | ||
0.946106 | + | 0.323856i | ||||||||
0.470811 | − | 0.815468i | 0.0158351 | − | 0.0274272i | |||||
28.6316 | 0.962441 | |||||||||
7.54379 | 0.253439 | |||||||||
−3.53178 | + | 6.11722i | −0.118586 | + | 0.205396i | −0.919207 | − | 0.393774i | ||
0.800622 | + | 0.599170i | ||||||||
28.7776 | + | 49.8443i | 0.965713 | + | 1.67266i | |||||
8.13022 | − | 14.0820i | 0.272679 | − | 0.472293i | |||||
−4.70097 | − | 8.14233i | −0.157577 | − | 0.272931i | |||||
17.0722 | + | 29.5700i | 0.571941 | + | 0.990631i | |||||
−15.1320 | −0.506656 | |||||||||
20.1000 | + | 0.964867i | 0.672622 | + | 0.0322881i | |||||
3.13865 | 0.104972 | |||||||||
4.56498 | + | 7.90677i | 0.152590 | + | 0.264294i | |||||
3.13930 | + | 5.43743i | 0.104877 | + | 0.181652i | |||||
36.7678 | − | 63.6838i | 1.22764 | − | 2.12634i | |||||
−7.82346 | − | 13.5506i | −0.261072 | − | 0.452190i | |||||
−3.46809 | + | 6.00692i | −0.115667 | + | 0.200342i | |||||
−4.34723 | −0.144908 | |||||||||
1.88839 | 0.0629115 | |||||||||
15.8602 | − | 27.4707i | 0.528087 | − | 0.914674i | |||||
−0.867282 | + | 1.50218i | −0.0288613 | + | 0.0499893i | |||||
−41.6780 | −1.38619 | |||||||||
1.63165 | 0.0542378 | |||||||||
7.73316 | − | 13.3942i | 0.256917 | − | 0.444994i | |||||
−23.6891 | − | 41.0307i | −0.786584 | − | 1.36240i | −0.928048 | − | 0.372460i | ||
0.141464 | − | 0.989943i | ||||||||
−15.0711 | + | 26.1040i | −0.500153 | + | 0.866291i | |||||
8.02586 | + | 13.9012i | 0.266201 | + | 0.461074i | |||||
−1.73055 | − | 2.99740i | −0.0573672 | − | 0.0993629i | |||||
−3.86212 | −0.127958 | −0.0639789 | − | 0.997951i | ||||||
−0.0639789 | + | 0.997951i | ||||||||
−2.19588 | − | 0.105409i | −0.0727128 | − | 0.00349045i | |||||
−4.26845 | −0.141265 | |||||||||
−3.74184 | − | 6.48105i | −0.123769 | − | 0.214374i | |||||
−7.03124 | − | 12.1785i | −0.232446 | − | 0.402608i | |||||
4.83719 | − | 8.37827i | 0.159825 | − | 0.276826i | |||||
3.26070 | + | 5.64770i | 0.107678 | + | 0.186504i | |||||
−0.153931 | + | 0.266616i | −0.00508047 | + | 0.00879964i | |||||
−40.1748 | −1.32524 | −0.662622 | − | 0.748954i | ||||||
−0.662622 | + | 0.748954i | ||||||||
−21.2558 | −0.700784 | |||||||||
9.90071 | − | 17.1485i | 0.326240 | − | 0.565063i | |||||
−9.30429 | + | 16.1155i | −0.306420 | + | 0.530736i | |||||
48.1906 | 1.58621 | |||||||||
15.8046 | 0.519933 | |||||||||
3.88998 | − | 6.73764i | 0.127902 | − | 0.221532i | |||||
17.4077 | + | 30.1511i | 0.572053 | + | 0.990825i | |||||
−16.4394 | + | 28.4739i | −0.539942 | + | 0.935206i | |||||
−26.3759 | − | 45.6843i | −0.865830 | − | 1.49966i | |||||
−17.8846 | − | 30.9770i | −0.586774 | − | 1.01632i | −0.994652 | − | 0.103285i | ||
0.407878 | − | 0.913036i | ||||||||
−1.69528 | −0.0555903 | |||||||||
−1.99594 | − | 3.87508i | −0.0654144 | − | 0.127000i | |||||
11.7664 | 0.385420 | |||||||||
36.0548 | + | 62.4487i | 1.18038 | + | 2.04448i | |||||
−12.5256 | − | 21.6950i | −0.409851 | − | 0.709883i | |||||
−0.527660 | + | 0.913934i | −0.0172563 | + | 0.0298888i | |||||
20.1469 | + | 34.8955i | 0.658523 | + | 1.14060i | |||||
−2.42816 | + | 4.20569i | −0.0793245 | + | 0.137394i | −0.902959 | − | 0.429727i | ||
0.823634 | + | 0.567121i | ||||||||
0.222685 | 0.00727092 | |||||||||
73.4927 | 2.39834 | |||||||||
−2.75122 | + | 4.76526i | −0.0897350 | + | 0.155426i | |||||
−22.8392 | + | 39.5587i | −0.744537 | + | 1.28958i | 0.205874 | + | 0.978578i | ||
−0.950411 | + | 0.310997i | ||||||||
40.7689 | 1.32832 | |||||||||
50.8248 | 1.65508 | |||||||||
−1.08617 | + | 1.88131i | −0.0353519 | + | 0.0612313i | |||||
−0.834506 | − | 1.44541i | −0.0271465 | − | 0.0470191i | |||||
−1.55523 | + | 2.69374i | −0.0505649 | + | 0.0875809i | |||||
19.0004 | + | 32.9097i | 0.617430 | + | 1.06942i | 0.989953 | + | 0.141397i | ||
−0.372523 | + | 0.928023i | ||||||||
−22.1618 | − | 38.3853i | −0.719781 | − | 1.24670i | |||||
−28.8678 | −0.937087 | |||||||||
1.79425 | + | 3.48350i | 0.0582132 | + | 0.113020i | |||||
−72.0615 | −2.33675 | |||||||||
−0.294384 | − | 0.509888i | −0.00954104 | − | 0.0165256i | |||||
−12.1436 | − | 21.0333i | −0.393369 | − | 0.681335i | 0.599522 | − | 0.800358i | ||
−0.992892 | + | 0.119023i | ||||||||
−15.0874 | + | 26.1321i | −0.488472 | + | 0.846058i | |||||
−5.18207 | − | 8.97561i | −0.167688 | − | 0.290444i | |||||
4.54308 | − | 7.86884i | 0.146934 | − | 0.254496i | |||||
−125.744 | −4.06472 | |||||||||
12.8121 | 0.413941 | |||||||||
4.10205 | − | 7.10497i | 0.132462 | − | 0.229431i | |||||
6.95088 | − | 12.0393i | 0.224339 | − | 0.388566i | |||||
−30.4650 | −0.982742 | |||||||||
−26.9272 | −0.868169 | |||||||||
−30.2884 | + | 52.4611i | −0.976030 | + | 1.69053i | |||||
−2.74199 | − | 4.74927i | −0.0883136 | − | 0.152964i | |||||
−8.57538 | + | 14.8530i | −0.276051 | + | 0.478135i | |||||
−8.58468 | − | 14.8691i | −0.276208 | − | 0.478406i | |||||
−15.7622 | − | 27.3010i | −0.506879 | − | 0.877941i | −0.999968 | − | 0.00796189i | ||
0.493089 | − | 0.869979i | ||||||||
44.3350 | 1.42498 | |||||||||
−2.30336 | − | 0.110569i | −0.0739946 | − | 0.00355198i | |||||
−7.11121 | −0.228327 | |||||||||
−27.3519 | − | 47.3749i | −0.877765 | − | 1.52033i | −0.853787 | − | 0.520622i | ||
−0.0239782 | − | 0.999712i | ||||||||
−13.1846 | − | 22.8363i | −0.422895 | − | 0.732475i | |||||
−1.36229 | + | 2.35956i | −0.0436731 | + | 0.0756440i | |||||
−2.20158 | − | 3.81324i | −0.0705430 | − | 0.122184i | |||||
4.96333 | − | 8.59674i | 0.158954 | − | 0.275316i | |||||
1.06695 | 0.0341523 | |||||||||
27.3235 | 0.874158 | 0.437079 | − | 0.899423i | ||||||
0.437079 | + | 0.899423i | ||||||||
−3.80042 | + | 6.58253i | −0.121524 | + | 0.210486i | |||||
−26.8953 | + | 46.5840i | −0.859576 | + | 1.48883i | |||||
1.19189 | 0.0380735 | |||||||||
25.5509 | 0.815778 | |||||||||
12.5889 | − | 21.8046i | 0.401727 | − | 0.695812i | |||||
−13.0570 | − | 22.6153i | −0.416453 | − | 0.721318i | 0.579127 | − | 0.815237i | ||
−0.995580 | + | 0.0939199i | ||||||||
−25.3780 | + | 43.9560i | −0.809022 | + | 1.40127i | |||||
−8.18193 | − | 14.1715i | −0.260698 | − | 0.451542i | |||||
0.874593 | + | 1.51484i | 0.0278527 | + | 0.0482423i | |||||
−11.9027 | −0.378866 | |||||||||
−10.8205 | + | 16.8235i | −0.344247 | + | 0.535227i | |||||
−4.98381 | −0.158476 | |||||||||
−8.43151 | − | 14.6038i | −0.267971 | − | 0.464139i | |||||
−6.51798 | − | 11.2895i | −0.207051 | − | 0.358622i | 0.743734 | − | 0.668476i | ||
−0.950784 | + | 0.309854i | ||||||||
−2.03445 | + | 3.52378i | −0.0645940 | + | 0.111880i | |||||
−15.0678 | − | 26.0983i | −0.478163 | − | 0.828203i | |||||
5.62585 | − | 9.74425i | 0.178441 | − | 0.309069i | |||||
−24.5386 | −0.777926 | |||||||||
2.55039 | 0.0808123 | |||||||||
−18.4439 | + | 31.9458i | −0.584125 | + | 1.01173i | 0.410859 | + | 0.911699i | ||
−0.994984 | + | 0.100035i | ||||||||
−7.39151 | + | 12.8025i | −0.233974 | + | 0.405255i | |||||
−12.9848 | −0.410822 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 665.2.i.h.596.6 | yes | 20 | |
19.11 | even | 3 | inner | 665.2.i.h.106.6 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
665.2.i.h.106.6 | ✓ | 20 | 19.11 | even | 3 | inner | |
665.2.i.h.596.6 | yes | 20 | 1.1 | even | 1 | trivial |