Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [275,2,Mod(49,275)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(275, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("275.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 275.z (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 174.5 | ||
Character | 275.174 | ||
Dual form | 275.2.z.c.49.5 |
-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 .
0.132580 | + | 0.0430779i | 0.0937484 | + | 0.0304607i | 0.355516 | − | 0.934670i | ||
−0.261767 | + | 0.965131i | ||||||||
−1.75502 | − | 2.41558i | −1.01326 | − | 1.39463i | −0.916822 | − | 0.399296i | ||
−0.0964394 | − | 0.995339i | ||||||||
−1.60231 | − | 1.16415i | −0.801156 | − | 0.582074i | |||||
0 | 0 | |||||||||
−0.128623 | − | 0.395861i | −0.0525101 | − | 0.161609i | |||||
2.09815 | − | 2.88786i | 0.793026 | − | 1.09151i | −0.200698 | − | 0.979653i | ||
0.993725 | − | 0.111854i | ||||||||
−0.326164 | − | 0.448926i | −0.115316 | − | 0.158719i | |||||
−1.82787 | + | 5.62561i | −0.609290 | + | 1.87520i | |||||
0 | 0 | |||||||||
−2.45284 | + | 2.23239i | −0.739560 | + | 0.673091i | |||||
5.91361i | 1.70711i | |||||||||
−1.13710 | − | 0.369466i | −0.315375 | − | 0.102471i | 0.147053 | − | 0.989129i | ||
−0.462427 | + | 0.886657i | ||||||||
0.402576 | − | 0.292489i | 0.107593 | − | 0.0781709i | |||||
0 | 0 | |||||||||
1.20015 | + | 3.69369i | 0.300038 | + | 0.923423i | |||||
−5.16941 | + | 1.67964i | −1.25377 | + | 0.407373i | −0.859269 | − | 0.511524i | ||
−0.394496 | + | 0.918897i | ||||||||
−0.484679 | + | 0.667104i | −0.114240 | + | 0.157238i | |||||
3.88538 | − | 2.82290i | 0.891368 | − | 0.647617i | −0.0448661 | − | 0.998993i | ||
0.936234 | + | 0.351376i | ||||||||
0 | 0 | |||||||||
−10.6581 | −2.32580 | |||||||||
−0.421365 | + | 0.190307i | −0.0898354 | + | 0.0405737i | |||||
− | 1.82203i | − | 0.379920i | −0.981792 | − | 0.189960i | ||||
0.981792 | − | 0.189960i | ||||||||
−0.511992 | + | 1.57575i | −0.104510 | + | 0.321649i | |||||
0 | 0 | |||||||||
−0.134841 | − | 0.0979678i | −0.0264445 | − | 0.0192131i | |||||
8.27800 | − | 2.68969i | 1.59310 | − | 0.517630i | |||||
−6.72378 | + | 2.18469i | −1.27068 | + | 0.412868i | |||||
−3.35044 | − | 2.43424i | −0.622161 | − | 0.452026i | 0.231515 | − | 0.972831i | ||
−0.853676 | + | 0.520805i | ||||||||
0 | 0 | |||||||||
0.397668 | − | 1.22390i | 0.0714233 | − | 0.219818i | −0.908973 | − | 0.416856i | ||
0.980396 | + | 0.197037i | ||||||||
1.65122i | 0.291897i | |||||||||
9.69730 | + | 2.00714i | 1.68808 | + | 0.349399i | |||||
−0.757717 | −0.129947 | |||||||||
0 | 0 | |||||||||
9.47786 | − | 6.88607i | 1.57964 | − | 1.14768i | |||||
1.85794 | − | 2.55724i | 0.305444 | − | 0.420408i | −0.628509 | − | 0.777802i | ||
0.933954 | + | 0.357394i | ||||||||
0.636730 | − | 0.206886i | 0.103291 | − | 0.0335614i | |||||
1.10316 | + | 3.39517i | 0.176647 | + | 0.543663i | |||||
0 | 0 | |||||||||
5.18347 | − | 3.76601i | 0.809522 | − | 0.588152i | −0.104170 | − | 0.994559i | ||
0.913692 | + | 0.406408i | ||||||||
−1.41306 | − | 0.459131i | −0.218040 | − | 0.0708454i | |||||
4.23557i | 0.645919i | 0.946413 | + | 0.322959i | ||||||
−0.946413 | + | 0.322959i | ||||||||
6.52905 | − | 0.721514i | 0.984291 | − | 0.108772i | |||||
0 | 0 | |||||||||
0.0784894 | − | 0.241566i | 0.0115726 | − | 0.0356169i | |||||
−4.13103 | − | 5.68588i | −0.602573 | − | 0.829371i | 0.393368 | − | 0.919381i | ||
−0.995941 | + | 0.0900107i | ||||||||
6.81611 | − | 9.38157i | 0.983821 | − | 1.35411i | |||||
−1.77436 | − | 5.46092i | −0.253480 | − | 0.780131i | |||||
0 | 0 | |||||||||
13.1297 | + | 9.53930i | 1.83853 | + | 1.33577i | |||||
1.39187 | + | 1.91575i | 0.193018 | + | 0.265667i | |||||
−10.2818 | − | 3.34076i | −1.41232 | − | 0.458889i | −0.499164 | − | 0.866508i | ||
−0.913152 | + | 0.407618i | ||||||||
1.21337 | 0.165118 | |||||||||
0 | 0 | |||||||||
−1.98078 | −0.264692 | |||||||||
−13.6379 | − | 4.43121i | −1.80638 | − | 0.586928i | |||||
−0.339340 | − | 0.467062i | −0.0445575 | − | 0.0613282i | |||||
−3.24907 | − | 2.36059i | −0.422993 | − | 0.307323i | 0.355848 | − | 0.934544i | ||
−0.778841 | + | 0.627221i | ||||||||
0 | 0 | |||||||||
−4.47500 | − | 13.7726i | −0.572964 | − | 1.76340i | −0.643008 | − | 0.765859i | ||
0.0700436 | − | 0.997544i | ||||||||
0.105446 | − | 0.145134i | 0.0133916 | − | 0.0184320i | |||||
12.4108 | + | 17.0820i | 1.56361 | + | 2.15213i | |||||
2.32918 | − | 7.16847i | 0.291147 | − | 0.896058i | |||||
0 | 0 | |||||||||
1.19921 | + | 0.683847i | 0.147612 | + | 0.0841758i | |||||
− | 8.14233i | − | 0.994744i | −0.867537 | − | 0.497372i | ||||
0.867537 | − | 0.497372i | ||||||||
10.2384 | + | 3.32664i | 1.24158 | + | 0.403415i | |||||
−4.40126 | + | 3.19770i | −0.529850 | + | 0.384958i | |||||
0 | 0 | |||||||||
2.63051 | + | 8.09589i | 0.312185 | + | 0.960806i | 0.976898 | + | 0.213707i | ||
−0.664713 | + | 0.747099i | ||||||||
3.12167 | − | 1.01429i | 0.367892 | − | 0.119535i | |||||
−5.02032 | + | 6.90988i | −0.587584 | + | 0.808740i | −0.994501 | − | 0.104725i | ||
0.406917 | + | 0.913465i | ||||||||
0.356488 | − | 0.259003i | 0.0414408 | − | 0.0301085i | |||||
0 | 0 | |||||||||
−9.51187 | −1.09109 | |||||||||
1.30039 | + | 11.7673i | 0.148193 | + | 1.34101i | |||||
0.497655i | 0.0563483i | |||||||||
−0.121752 | + | 0.374714i | −0.0136982 | + | 0.0421586i | −0.957672 | − | 0.287862i | ||
0.943974 | + | 0.330020i | ||||||||
0 | 0 | |||||||||
−6.66892 | − | 4.84526i | −0.740992 | − | 0.538362i | |||||
0.849457 | − | 0.276005i | 0.0938069 | − | 0.0304797i | |||||
1.48710 | − | 0.483189i | 0.163231 | − | 0.0530369i | −0.226262 | − | 0.974067i | ||
0.389492 | + | 0.921030i | ||||||||
17.0777 | + | 12.4077i | 1.86333 | + | 1.35379i | |||||
0 | 0 | |||||||||
−0.182460 | + | 0.561553i | −0.0196751 | + | 0.0605538i | |||||
12.3654i | 1.32571i | |||||||||
1.80221 | + | 0.373020i | 0.192116 | + | 0.0397641i | |||||
6.90425 | 0.731849 | 0.365925 | − | 0.930645i | ||||||
0.365925 | + | 0.930645i | ||||||||
0 | 0 | |||||||||
−3.45277 | + | 2.50858i | −0.361949 | + | 0.262971i | |||||
−2.12112 | + | 2.91946i | −0.221142 | + | 0.304375i | |||||
−3.65434 | + | 1.18737i | −0.378937 | + | 0.123124i | |||||
−0.302757 | − | 0.931792i | −0.0312270 | − | 0.0961070i | |||||
0 | 0 | |||||||||
3.98865 | − | 2.89792i | 0.407089 | − | 0.295768i | |||||
8.85604 | + | 2.87750i | 0.899195 | + | 0.292166i | 0.721905 | − | 0.691993i | ||
0.177290 | + | 0.984159i | ||||||||
− | 0.800446i | − | 0.0808572i | |||||||
−8.07507 | − | 17.8793i | −0.811575 | − | 1.79693i | |||||
0 | 0 | |||||||||
−0.810256 | + | 2.49371i | −0.0806235 | + | 0.248134i | −0.983241 | − | 0.182309i | ||
0.902618 | + | 0.430443i | ||||||||
1.32981 | + | 1.83032i | 0.131671 | + | 0.181229i | |||||
3.88267 | − | 5.34404i | 0.382571 | − | 0.526564i | −0.573692 | − | 0.819071i | ||
0.956263 | + | 0.292507i | ||||||||
0.205018 | + | 0.630980i | 0.0201037 | + | 0.0618727i | |||||
0 | 0 | |||||||||
−1.21925 | − | 0.885839i | −0.118424 | − | 0.0860403i | |||||
−8.26556 | − | 11.3766i | −0.799062 | − | 1.09981i | −0.992920 | − | 0.118785i | ||
0.193858 | − | 0.981030i | ||||||||
−16.3951 | − | 5.32710i | −1.57762 | − | 0.512601i | |||||
−12.3514 | −1.18305 | −0.591525 | − | 0.806286i | ||||||
−0.591525 | + | 0.806286i | ||||||||
0 | 0 | |||||||||
−9.43795 | −0.895810 | |||||||||
13.1850 | + | 4.28405i | 1.24586 | + | 0.404805i | |||||
2.09760 | + | 2.88710i | 0.197326 | + | 0.271596i | 0.896201 | − | 0.443648i | ||
−0.698875 | + | 0.715243i | ||||||||
−1.61722 | − | 1.17498i | −0.151467 | − | 0.110047i | |||||
0 | 0 | |||||||||
2.53464 | + | 7.80081i | 0.235335 | + | 0.724287i | |||||
4.15694 | − | 5.72154i | 0.384309 | − | 0.528956i | |||||
−0.329074 | − | 0.452931i | −0.0302937 | − | 0.0416957i | |||||
−5.99563 | + | 18.4526i | −0.549618 | + | 1.69155i | |||||
0 | 0 | |||||||||
1.03287 | − | 10.9514i | 0.0938974 | − | 0.995582i | |||||
− | 2.01875i | − | 0.182769i | |||||||
−18.1942 | − | 5.91165i | −1.64051 | − | 0.533035i | |||||
−2.06199 | + | 1.49812i | −0.185172 | + | 0.134535i | |||||
0 | 0 | |||||||||
0.909570 | + | 2.79937i | 0.0810309 | + | 0.249388i | |||||
5.97215 | − | 1.94047i | 0.529943 | − | 0.172189i | −0.0318100 | − | 0.999494i | ||
0.561753 | + | 0.827305i | ||||||||
2.55873 | − | 3.52179i | 0.226162 | − | 0.311285i | |||||
10.2314 | − | 7.43352i | 0.900821 | − | 0.654485i | |||||
0 | 0 | |||||||||
18.4755 | 1.61421 | 0.807105 | − | 0.590408i | ||||||
0.807105 | + | 0.590408i | ||||||||
−13.2015 | − | 14.5052i | −1.14904 | − | 1.26251i | |||||
− | 17.1433i | − | 1.48651i | |||||||
0.350755 | − | 1.07951i | 0.0303006 | − | 0.0932557i | |||||
0 | 0 | |||||||||
2.44011 | + | 1.77284i | 0.209238 | + | 0.152020i | |||||
−3.97216 | + | 1.29063i | −0.339364 | + | 0.110266i | −0.473741 | − | 0.880664i | ||
0.134377 | + | 0.990930i | ||||||||
−0.721271 | + | 0.234355i | −0.0613987 | + | 0.0199496i | |||||
−2.20927 | − | 1.60513i | −0.187388 | − | 0.136145i | 0.490136 | − | 0.871646i | ||
−0.677524 | + | 0.735501i | ||||||||
0 | 0 | |||||||||
−6.48464 | + | 19.9577i | −0.546105 | + | 1.68074i | |||||
1.18667i | 0.0995834i | |||||||||
3.61392 | − | 1.63221i | 0.302211 | − | 0.136492i | |||||
−22.9730 | −1.91442 | |||||||||
0 | 0 | |||||||||
−0.963258 | + | 0.699848i | −0.0797198 | + | 0.0579199i | |||||
−10.0772 | + | 13.8701i | −0.831156 | + | 1.14399i | |||||
−5.95401 | + | 1.93458i | −0.489417 | + | 0.159021i | |||||
5.48466 | + | 16.8800i | 0.449321 | + | 1.38287i | 0.877675 | + | 0.479256i | ||
−0.428354 | + | 0.903611i | ||||||||
0 | 0 | |||||||||
1.17615 | − | 0.854522i | 0.0957136 | − | 0.0695400i | −0.538899 | − | 0.842370i | ||
0.634613 | + | 0.772830i | ||||||||
−2.53455 | − | 0.823524i | −0.205579 | − | 0.0667966i | |||||
− | 32.1512i | − | 2.59927i | |||||||
−0.334507 | + | 1.61614i | −0.0269554 | + | 0.130232i | |||||
0 | 0 | |||||||||
2.18488 | − | 6.72437i | 0.174930 | − | 0.538380i | |||||
1.97318 | + | 2.71585i | 0.157477 | + | 0.216749i | 0.880464 | − | 0.474113i | ||
−0.722987 | + | 0.690862i | ||||||||
−0.0322838 | + | 0.0444348i | −0.00256836 | + | 0.00353504i | |||||
9.97492 | + | 30.6996i | 0.791062 | + | 2.43464i | |||||
0 | 0 | |||||||||
−5.26177 | − | 3.82290i | −0.414685 | − | 0.301287i | |||||
−0.675444 | − | 0.929669i | −0.0530679 | − | 0.0730417i | |||||
6.47640 | + | 2.10431i | 0.507271 | + | 0.164822i | 0.551461 | − | 0.834201i | ||
−0.0441897 | + | 0.999023i | ||||||||
−12.6897 | −0.990901 | |||||||||
0 | 0 | |||||||||
0.217975 | 0.0169182 | |||||||||
18.6804 | + | 6.06962i | 1.44553 | + | 0.469681i | 0.923616 | − | 0.383318i | ||
0.521913 | + | 0.852999i | ||||||||
3.47630 | + | 4.78472i | 0.268203 | + | 0.369149i | |||||
−9.36073 | − | 6.80097i | −0.720056 | − | 0.523152i | |||||
0 | 0 | |||||||||
8.77853 | + | 27.0175i | 0.671311 | + | 2.06608i | |||||
4.93083 | − | 6.78671i | 0.375972 | − | 0.517482i | |||||
−0.137634 | − | 0.189438i | −0.0104642 | − | 0.0144027i | 0.803753 | − | 0.594963i | ||
−0.814217 | + | 0.580561i | ||||||||
−0.532675 | + | 1.63941i | −0.0403820 | + | 0.124283i | |||||
0 | 0 | |||||||||
−11.1895 | − | 6.38084i | −0.843444 | − | 0.480974i | |||||
11.9913i | 0.901319i | |||||||||
0.915367 | + | 0.297421i | 0.0686097 | + | 0.0222926i | |||||
13.7416 | − | 9.98383i | 1.02709 | − | 0.746227i | 0.0593679 | − | 0.998236i | ||
0.967725 | + | 0.252010i | ||||||||
0 | 0 | |||||||||
−5.36003 | − | 16.4965i | −0.398408 | − | 1.22617i | −0.926275 | − | 0.376847i | ||
0.527867 | − | 0.849327i | ||||||||
−0.565834 | + | 0.183851i | −0.0419424 | + | 0.0136279i | |||||
−25.4151 | + | 34.9809i | −1.87874 | + | 2.58586i | |||||
−0.817958 | + | 0.594282i | −0.0603007 | + | 0.0438110i | |||||
0 | 0 | |||||||||
−0.535642 | −0.0392752 | |||||||||
8.93012 | − | 15.6600i | 0.653035 | − | 1.14517i | |||||
13.9197i | 1.01520i | |||||||||
9.60107 | − | 29.5490i | 0.698375 | − | 2.14938i | |||||
0 | 0 | |||||||||
−16.8029 | − | 12.2080i | −1.21582 | − | 0.883342i | −0.220070 | − | 0.975484i | ||
−0.995746 | + | 0.0921420i | ||||||||
−21.4037 | + | 6.95450i | −1.54468 | + | 0.501898i | |||||
8.09586 | − | 2.63050i | 0.582752 | − | 0.189348i | −0.00278083 | − | 0.999996i | ||
0.585533 | + | 0.810648i | ||||||||
1.05018 | + | 0.763000i | 0.0753985 | + | 0.0547802i | |||||
0 | 0 | |||||||||
−3.51424 | + | 10.8157i | −0.251017 | + | 0.772551i | |||||
− | 2.60251i | − | 0.185421i | −0.995693 | − | 0.0927106i | ||||
0.995693 | − | 0.0927106i | ||||||||
−0.300394 | − | 2.71829i | −0.0213481 | − | 0.193181i | |||||
8.77731 | 0.622207 | 0.311104 | − | 0.950376i | ||||||
0.311104 | + | 0.950376i | ||||||||
0 | 0 | |||||||||
−19.6684 | + | 14.2900i | −1.38730 | + | 1.00794i | |||||
−0.214848 | + | 0.295713i | −0.0151167 | + | 0.0208063i | |||||
−14.0594 | + | 4.56819i | −0.986780 | + | 0.320624i | |||||
−9.93275 | − | 30.5699i | −0.695432 | − | 2.14032i | |||||
0 | 0 | |||||||||
0.744976 | − | 0.541256i | 0.0519049 | − | 0.0377111i | |||||
10.2500 | + | 3.33044i | 0.712427 | + | 0.231482i | |||||
− | 4.64351i | − | 0.321970i | |||||||
−3.22843 | + | 15.5978i | −0.223315 | + | 1.07892i | |||||
0 | 0 | |||||||||
3.34024 | − | 10.2802i | 0.229952 | − | 0.707718i | −0.767799 | − | 0.640690i | ||
0.997751 | − | 0.0670281i | ||||||||
12.5855 | + | 17.3225i | 0.864378 | + | 1.18971i | |||||
14.9397 | − | 20.5627i | 1.02365 | − | 1.40893i | |||||
−0.605771 | − | 1.86437i | −0.0414097 | − | 0.127446i | |||||
0 | 0 | |||||||||
−3.90746 | − | 2.83893i | −0.265869 | − | 0.193165i | |||||
−2.70007 | − | 3.71633i | −0.183293 | − | 0.252281i | |||||
−1.63755 | − | 0.532073i | −0.110909 | − | 0.0360366i | |||||
25.5021 | 1.72327 | |||||||||
0 | 0 | |||||||||
6.49870 | 0.437150 | |||||||||
−1.25129 | − | 0.406567i | −0.0839808 | − | 0.0272870i | |||||
4.73085 | + | 6.51146i | 0.316801 | + | 0.436040i | 0.937487 | − | 0.348020i | ||
−0.620686 | + | 0.784059i | ||||||||
4.76848 | + | 3.46450i | 0.318607 | + | 0.231482i | |||||
0 | 0 | |||||||||
0.153730 | + | 0.473133i | 0.0102260 | + | 0.0314724i | |||||
−12.1786 | + | 16.7624i | −0.808323 | + | 1.11256i | 0.183257 | + | 0.983065i | ||
−0.991580 | + | 0.129496i | ||||||||
16.6935 | + | 22.9767i | 1.10556 | + | 1.52167i | |||||
−2.47597 | + | 7.62024i | −0.163616 | + | 0.503560i | −0.998932 | − | 0.0462117i | ||
0.835315 | + | 0.549771i | ||||||||
0 | 0 | |||||||||
26.1427 | − | 23.7931i | 1.72007 | − | 1.56547i | |||||
2.29806i | 0.150875i | |||||||||
24.2133 | + | 7.86737i | 1.58626 | + | 0.515408i | 0.963661 | − | 0.267129i | ||
0.622603 | + | 0.782538i | ||||||||
0.797601 | − | 0.579491i | 0.0521408 | − | 0.0378825i | |||||
0 | 0 | |||||||||
2.45795 | + | 7.56480i | 0.159999 | + | 0.492427i | |||||
1.11883 | − | 0.363529i | 0.0726756 | − | 0.0236137i | |||||
−1.58980 | + | 2.18818i | −0.103052 | + | 0.141838i | |||||
0.442580 | − | 0.321553i | 0.0286281 | − | 0.0207995i | −0.573379 | − | 0.819290i | ||
0.602007 | + | 0.798491i | ||||||||
0 | 0 | |||||||||
21.9600 | 1.41457 | 0.707285 | − | 0.706929i | ||||||
0.707285 | + | 0.706929i | ||||||||
0.608702 | − | 1.40745i | 0.0391289 | − | 0.0904740i | |||||
− | 1.49919i | − | 0.0961728i | |||||||
−8.86303 | + | 27.2776i | −0.567397 | + | 1.74627i | |||||
0 | 0 | |||||||||
−2.15753 | − | 1.56754i | −0.137559 | − | 0.0999424i | |||||
−5.46103 | + | 1.77440i | −0.347477 | + | 0.112902i | |||||
−0.679145 | + | 0.220668i | −0.0431257 | + | 0.0140124i | |||||
−3.77708 | − | 2.74421i | −0.239362 | − | 0.173907i | |||||
0 | 0 | |||||||||
1.87041 | − | 5.75652i | 0.118059 | − | 0.363348i | −0.874514 | − | 0.485001i | ||
0.992573 | + | 0.121653i | ||||||||
− | 41.8187i | − | 2.63433i | |||||||
4.06749 | + | 4.46916i | 0.255721 | + | 0.280974i | |||||
0.875381 | 0.0549263 | |||||||||
0 | 0 | |||||||||
−11.7048 | + | 8.50402i | −0.731548 | + | 0.531501i | |||||
1.79724 | − | 2.47369i | 0.112109 | − | 0.154305i | −0.749275 | − | 0.662259i | ||
0.861384 | + | 0.507954i | ||||||||
1.67670 | − | 0.544792i | 0.104387 | − | 0.0339172i | |||||
−3.48670 | − | 10.7310i | −0.216653 | − | 0.666789i | |||||
0 | 0 | |||||||||
19.8182 | − | 14.3988i | 1.22672 | − | 0.891263i | |||||
2.44948 | + | 0.795885i | 0.151330 | + | 0.0491699i | |||||
− | 18.1365i | − | 1.11835i | −0.829050 | − | 0.559174i | ||||
0.829050 | − | 0.559174i | ||||||||
−2.26185 | − | 5.00803i | −0.139207 | − | 0.308223i | |||||
0 | 0 | |||||||||
0.738498 | − | 2.27286i | 0.0452802 | − | 0.139358i | |||||
−12.1171 | − | 16.6778i | −0.741555 | − | 1.02066i | |||||
−9.47888 | + | 13.0466i | −0.579015 | + | 0.796945i | |||||
−5.38987 | − | 16.5883i | −0.328626 | − | 1.01141i | −0.969777 | − | 0.243993i | ||
0.641151 | − | 0.767415i | ||||||||
0 | 0 | |||||||||
5.70006 | + | 4.14134i | 0.346254 | + | 0.251568i | 0.747296 | − | 0.664492i | ||
−0.401042 | + | 0.916060i | ||||||||
−12.4082 | − | 17.0784i | −0.752355 | − | 1.03553i | |||||
12.1194 | + | 3.93782i | 0.733497 | + | 0.238328i | |||||
−0.582227 | −0.0351736 | |||||||||
0 | 0 | |||||||||
10.7748 | 0.648567 | |||||||||
−17.6181 | − | 5.72446i | −1.05857 | − | 0.343949i | −0.272542 | − | 0.962144i | ||
−0.786025 | + | 0.618195i | ||||||||
−0.223760 | − | 0.307979i | −0.0134202 | − | 0.0184714i | |||||
6.15828 | + | 4.47425i | 0.368687 | + | 0.267866i | |||||
0 | 0 | |||||||||
6.49461 | + | 19.9884i | 0.387436 | + | 1.19241i | 0.934698 | + | 0.355444i | ||
−0.547262 | + | 0.836962i | ||||||||
−1.71947 | + | 2.36665i | −0.102393 | + | 0.140932i | |||||
0.955030 | + | 1.31449i | 0.0567706 | + | 0.0781381i | 0.836458 | − | 0.548030i | ||
−0.779688 | + | 0.626169i | ||||||||
5.20991 | − | 16.0345i | 0.309151 | − | 0.951470i | |||||
0 | 0 | |||||||||
0.549446 | − | 0.0607183i | 0.0324894 | − | 0.00359035i | |||||
− | 22.8708i | − | 1.35002i | |||||||
−9.28911 | − | 3.01821i | −0.547366 | − | 0.177850i | |||||
10.1483 | − | 7.37316i | 0.596957 | − | 0.433715i | |||||
0 | 0 | |||||||||
−8.59170 | − | 26.4425i | −0.503654 | − | 1.55009i | |||||
16.0882 | − | 5.22738i | 0.941493 | − | 0.305910i | |||||
7.41008 | − | 10.1991i | 0.432901 | − | 0.595838i | −0.535715 | − | 0.844399i | ||
0.968616 | + | 0.248561i | ||||||||
−1.93354 | + | 1.40480i | −0.112766 | + | 0.0819295i | |||||
0 | 0 | |||||||||
−1.75401 | −0.101950 | |||||||||
−14.3002 | + | 25.0771i | −0.829782 | + | 1.45512i | |||||
2.47423i | 0.143328i | |||||||||
−0.673179 | + | 2.07183i | −0.0389309 | + | 0.119817i | |||||
0 | 0 | |||||||||
12.2317 | + | 8.88687i | 0.705025 | + | 0.512230i | |||||
0.192745 | − | 0.0626267i | 0.0110912 | − | 0.00360376i | |||||
7.44578 | − | 2.41928i | 0.427749 | − | 0.138984i | |||||
15.0900 | + | 10.9635i | 0.865469 | + | 0.628800i | |||||
0 | 0 | |||||||||
1.38501 | − | 4.26262i | 0.0791757 | − | 0.243678i | |||||
22.6055i | 1.29017i | 0.764112 | + | 0.645083i | ||||||
−0.764112 | + | 0.645083i | ||||||||
11.6153 | − | 20.3688i | 0.661843 | − | 1.16062i | |||||
−19.7231 | −1.12201 | |||||||||
0 | 0 | |||||||||
15.0909 | − | 10.9642i | 0.855729 | − | 0.621723i | −0.0709908 | − | 0.997477i | ||
0.926720 | + | 0.375754i | ||||||||
1.16437 | − | 1.60262i | 0.0659196 | − | 0.0907305i | |||||
−16.6286 | + | 5.40298i | −0.939907 | + | 0.305394i | −0.738608 | − | 0.674136i | ||
−0.201299 | + | 0.979530i | ||||||||
0.144612 | + | 0.445069i | 0.00816091 | + | 0.0251167i | |||||
0 | 0 | |||||||||
0.631307 | − | 0.458671i | 0.0355138 | − | 0.0258023i | |||||
10.6373 | + | 3.45627i | 0.597450 | + | 0.194123i | 0.592103 | − | 0.805862i | ||
0.00534745 | + | 0.999986i | ||||||||
4.49987i | 0.252340i | |||||||||
13.6523 | − | 1.50869i | 0.764380 | − | 0.0844703i | |||||
0 | 0 | |||||||||
−12.9748 | + | 39.9322i | −0.724181 | + | 2.22880i | |||||
−0.532924 | − | 0.733507i | −0.0296987 | − | 0.0408767i | |||||
−15.3437 | + | 21.1188i | −0.853745 | + | 1.17508i | |||||
5.04510 | + | 15.5272i | 0.280283 | + | 0.862624i | |||||
0 | 0 | |||||||||
0.767994 | + | 0.557980i | 0.0425353 | + | 0.0309037i | |||||
21.6770 | + | 29.8358i | 1.19874 | + | 1.64992i | |||||
−3.38132 | − | 1.09866i | −0.186702 | − | 0.0606632i | |||||
−25.0875 | −1.38312 | |||||||||
0 | 0 | |||||||||
−25.7621 | −1.41602 | −0.708008 | − | 0.706205i | ||||||
−0.708008 | + | 0.706205i | ||||||||
−2.94531 | − | 0.956988i | −0.161645 | − | 0.0525215i | |||||
10.9900 | + | 15.1264i | 0.602246 | + | 0.828920i | |||||
2.21518 | + | 1.60942i | 0.121209 | + | 0.0880637i | |||||
0 | 0 | |||||||||
−12.7914 | − | 39.3679i | −0.697828 | − | 2.14769i | |||||
−6.75842 | + | 9.30216i | −0.368154 | + | 0.506721i | −0.952398 | − | 0.304857i | ||
0.584244 | + | 0.811578i | ||||||||
−0.948077 | − | 1.30492i | −0.0515686 | − | 0.0709780i | |||||
3.29269 | − | 10.1339i | 0.178834 | − | 0.550395i | |||||
0 | 0 | |||||||||
1.75680 | + | 3.88978i | 0.0951359 | + | 0.210643i | |||||
3.96015i | 0.214141i | |||||||||
4.27093 | + | 1.38771i | 0.230609 | + | 0.0749293i | |||||
1.90146 | − | 1.38149i | 0.102520 | − | 0.0744850i | |||||
0 | 0 | |||||||||
−0.0100870 | − | 0.0310447i | −0.000542282 | − | 0.00166897i | |||||
0.823501 | − | 0.267572i | 0.0442079 | − | 0.0143640i | −0.286830 | − | 0.957982i | ||
0.331037 | + | 0.943618i | ||||||||
14.3951 | − | 19.8132i | 0.771660 | − | 1.06210i | |||||
14.3937 | − | 10.4576i | 0.770476 | − | 0.559784i | −0.131630 | − | 0.991299i | ||
0.902106 | + | 0.431515i | ||||||||
0 | 0 | |||||||||
−10.4067 | −0.555466 | |||||||||
−3.68616 | − | 4.05018i | −0.196473 | − | 0.215875i | |||||
− | 1.11550i | − | 0.0593723i | −0.999559 | − | 0.0296862i | ||||
0.999559 | − | 0.0296862i | ||||||||
−0.516559 | + | 1.58981i | −0.0274548 | + | 0.0844972i | |||||
0 | 0 | |||||||||
−11.0628 | − | 8.03757i | −0.586325 | − | 0.425990i | |||||
55.0963 | − | 17.9019i | 2.91600 | − | 0.947467i | |||||
2.25194 | − | 0.731701i | 0.119019 | − | 0.0386716i | |||||
1.22945 | + | 0.893247i | 0.0648878 | + | 0.0471438i | 0.619756 | − | 0.784794i | ||
−0.554869 | + | 0.831938i | ||||||||
0 | 0 | |||||||||
1.25614 | − | 3.86601i | 0.0661127 | − | 0.203474i | |||||
− | 2.41801i | − | 0.127088i | |||||||
−28.2667 | + | 16.7250i | −1.48362 | + | 0.877832i | |||||
8.45278 | 0.443046 | |||||||||
0 | 0 | |||||||||
−4.87645 | + | 3.54295i | −0.254896 | + | 0.185193i | |||||
−6.24587 | + | 8.59670i | −0.326032 | + | 0.448744i | −0.940297 | − | 0.340356i | ||
0.614265 | + | 0.789100i | ||||||||
6.73003 | − | 2.18672i | 0.350827 | − | 0.113991i | |||||
11.7114 | + | 36.0439i | 0.609670 | + | 1.87637i | |||||
0 | 0 | |||||||||
−31.2204 | + | 22.6830i | −1.62088 | + | 1.17764i | |||||
7.23765 | + | 2.35166i | 0.375255 | + | 0.121928i | |||||
27.9435i | 1.44686i | 0.690399 | + | 0.723429i | ||||||
−0.690399 | + | 0.723429i | ||||||||
1.85856 | − | 1.69152i | 0.0961038 | − | 0.0874664i | |||||
0 | 0 | |||||||||
−1.20515 | + | 3.70906i | −0.0621507 | + | 0.191280i | |||||
2.91041 | + | 4.00584i | 0.149894 | + | 0.206311i | |||||
2.54582 | − | 3.50403i | 0.130943 | − | 0.180228i | |||||
−5.76969 | − | 17.7573i | −0.296369 | − | 0.912130i | −0.982758 | − | 0.184896i | ||
0.686389 | − | 0.727235i | ||||||||
0 | 0 | |||||||||
−15.1686 | − | 11.0206i | −0.777111 | − | 0.564605i | |||||
−1.70184 | − | 2.34238i | −0.0870736 | − | 0.119847i | |||||
−20.6018 | − | 6.69393i | −1.05270 | − | 0.342044i | −0.268974 | − | 0.963147i | ||
−0.783729 | + | 0.621104i | ||||||||
−12.9978 | −0.663290 | |||||||||
0 | 0 | |||||||||
1.18667 | 0.0603998 | |||||||||
−23.8277 | − | 7.74208i | −1.21123 | − | 0.393552i | |||||
−10.8403 | − | 14.9204i | −0.550333 | − | 0.757468i | |||||
−30.3224 | − | 22.0305i | −1.53740 | − | 1.11699i | −0.951937 | − | 0.306294i | ||
−0.585468 | − | 0.810696i | ||||||||
0 | 0 | |||||||||
3.06036 | + | 9.41883i | 0.154769 | + | 0.476331i | |||||
−1.87282 | + | 2.57771i | −0.0945916 | + | 0.130194i | |||||
−32.4248 | − | 44.6289i | −1.63562 | − | 2.25123i | |||||
0.112111 | − | 0.345042i | 0.00564806 | − | 0.0173829i | |||||
0 | 0 | |||||||||
−7.87531 | + | 38.0487i | −0.395749 | + | 1.91202i | |||||
18.3084i | 0.918873i | 0.888211 | + | 0.459437i | ||||||
−0.888211 | + | 0.459437i | ||||||||
1.16370 | + | 0.378109i | 0.0583309 | + | 0.0189529i | |||||
−41.4110 | + | 30.0868i | −2.07314 | + | 1.50623i | |||||
0 | 0 | |||||||||
4.04434 | + | 12.4472i | 0.201965 | + | 0.621583i | 0.999824 | + | 0.0187401i | ||
−0.797860 | + | 0.602843i | ||||||||
−3.22323 | + | 1.04729i | −0.160760 | + | 0.0522341i | |||||
−0.904376 | + | 1.24477i | −0.0450502 | + | 0.0620063i | |||||
4.20133 | − | 3.05245i | 0.209024 | − | 0.151865i | |||||
0 | 0 | |||||||||
−2.06079 | −0.102275 | |||||||||
1.15151 | + | 10.4202i | 0.0570785 | + | 0.516509i | |||||
− | 9.00566i | − | 0.445846i | |||||||
−6.57096 | + | 20.2233i | −0.324913 | + | 0.999980i | 0.646567 | + | 0.762857i | ||
−0.971480 | + | 0.237122i | ||||||||
0 | 0 | |||||||||
10.0888 | + | 7.32997i | 0.497646 | + | 0.361561i | |||||
−12.4425 | + | 4.04281i | −0.612998 | + | 0.199175i | |||||
−13.6341 | + | 4.42998i | −0.670889 | + | 0.217985i | |||||
1.21548 | + | 0.883101i | 0.0597378 | + | 0.0434021i | |||||
0 | 0 | |||||||||
0.610069 | − | 1.87760i | 0.0299111 | − | 0.0920568i | |||||
8.15371i | 0.399289i | |||||||||
−1.09995 | + | 1.92889i | −0.0538002 | + | 0.0943450i | |||||
37.5627 | 1.83506 | 0.917528 | − | 0.397670i | ||||||
0.917528 | + | 0.397670i | ||||||||
0 | 0 | |||||||||
7.41340 | − | 5.38615i | 0.361307 | − | 0.262505i | −0.392290 | − | 0.919842i | ||
0.753597 | + | 0.657337i | ||||||||
0.885700 | − | 1.21906i | 0.0431152 | − | 0.0593430i | |||||
39.5375 | − | 12.8465i | 1.92238 | − | 0.624619i | |||||
1.85380 | + | 5.70542i | 0.0900286 | + | 0.277079i | |||||
0 | 0 | |||||||||
2.86650 | − | 2.08263i | 0.138882 | − | 0.100904i | |||||
−49.1626 | − | 15.9739i | −2.37914 | − | 0.773030i | |||||
27.8512i | 1.34624i | |||||||||
−10.2852 | − | 5.86514i | −0.496575 | − | 0.283172i | |||||
0 | 0 | |||||||||
8.63312 | − | 26.5700i | 0.415843 | − | 1.27983i | −0.495653 | − | 0.868521i | ||
0.911495 | − | 0.411311i | ||||||||
19.8697 | + | 27.3484i | 0.955984 | + | 1.31580i | |||||
11.9620 | − | 16.4642i | 0.574856 | − | 0.791221i | −0.418264 | − | 0.908325i | ||
0.993120 | + | 0.117105i | ||||||||
−0.197884 | − | 0.609025i | −0.00949875 | − | 0.0292342i | |||||
0 | 0 | |||||||||
19.7908 | + | 14.3789i | 0.947808 | + | 0.688623i | |||||
−5.14341 | − | 7.07930i | −0.246043 | − | 0.338649i | |||||
3.38108 | + | 1.09858i | 0.161554 | + | 0.0524921i | |||||
5.87262 | 0.280285 | 0.140142 | − | 0.990131i | ||||||
0.140142 | + | 0.990131i | ||||||||
0 | 0 | |||||||||
33.9643 | 1.61735 | |||||||||
0.861599 | + | 0.279951i | 0.0409821 | + | 0.0133159i | |||||
−21.2309 | − | 29.2219i | −1.00871 | − | 1.38837i | −0.919824 | − | 0.392332i | ||
−0.0888891 | − | 0.996042i | ||||||||
15.1225 | + | 10.9872i | 0.717684 | + | 0.521428i | |||||
0 | 0 | |||||||||
0.346717 | + | 1.06709i | 0.0164175 | + | 0.0505280i | |||||
31.1494 | − | 42.8735i | 1.47332 | − | 2.02784i | |||||
−15.8145 | − | 21.7668i | −0.747167 | − | 1.02839i | |||||
−2.11744 | + | 6.51680i | −0.0999281 | + | 0.307547i | −0.988507 | − | 0.151177i | ||
0.888579 | + | 0.458724i | ||||||||
0 | 0 | |||||||||
−4.30703 | + | 20.8089i | −0.202810 | + | 0.979855i | |||||
− | 7.06796i | − | 0.332449i | |||||||
−4.12833 | − | 1.34138i | −0.193966 | − | 0.0630233i | |||||
−2.33674 | + | 1.69774i | −0.109668 | + | 0.0796788i | |||||
0 | 0 | |||||||||
2.45889 | + | 7.56770i | 0.115148 | + | 0.354390i | |||||
−20.2693 | + | 6.58590i | −0.948158 | + | 0.308075i | −0.741967 | − | 0.670437i | ||
−0.206191 | + | 0.978512i | ||||||||
−0.656528 | + | 0.903634i | −0.0306776 | + | 0.0422240i | |||||
−38.2747 | + | 27.8082i | −1.78651 | + | 1.29797i | |||||
0 | 0 | |||||||||
−29.0126 | −1.35125 | −0.675626 | − | 0.737244i | ||||||
−0.675626 | + | 0.737244i | ||||||||
4.49097 | − | 2.02832i | 0.208939 | − | 0.0943661i | |||||
− | 17.8392i | − | 0.829057i | −0.910036 | − | 0.414528i | ||||
0.910036 | − | 0.414528i | ||||||||
4.97028 | − | 15.2969i | 0.230739 | − | 0.710143i | |||||
0 | 0 | |||||||||
2.87129 | + | 2.08612i | 0.133010 | + | 0.0966374i | |||||
−3.80640 | + | 1.23677i | −0.176139 | + | 0.0572311i | −0.395759 | − | 0.918354i | ||
0.219620 | + | 0.975586i | ||||||||
−13.3214 | + | 4.32840i | −0.615784 | + | 0.200080i | |||||
−23.5139 | − | 17.0838i | −1.08577 | − | 0.788858i | |||||
0 | 0 | |||||||||
3.09738 | − | 9.53275i | 0.142720 | − | 0.439246i | |||||
2.22853i | 0.102577i | |||||||||
−9.45545 | − | 10.3892i | −0.434762 | − | 0.477695i | |||||
0.163994 | 0.00753252 | |||||||||
0 | 0 | |||||||||
31.0885 | − | 22.5871i | 1.42494 | − | 1.03528i | |||||
37.5877 | − | 51.7350i | 1.72102 | − | 2.36878i | |||||
0.0725292 | − | 0.0235662i | 0.00331741 | − | 0.00107789i | |||||
0.372018 | + | 1.14495i | 0.0169979 | + | 0.0523143i | 0.959196 | − | 0.282743i | ||
−0.942198 | + | 0.335057i | ||||||||
0 | 0 | |||||||||
−3.05748 | + | 2.22139i | −0.139409 | + | 0.101287i | |||||
2.91146 | + | 0.945992i | 0.132614 | + | 0.0430888i | |||||
19.4195i | 0.883617i | |||||||||
−14.4040 | + | 16.3451i | −0.654729 | + | 0.742961i | |||||
0 | 0 | |||||||||
0.0645818 | − | 0.198762i | 0.00292949 | − | 0.00901605i | |||||
−24.8406 | − | 34.1902i | −1.12564 | − | 1.54930i | −0.796105 | − | 0.605159i | ||
−0.329531 | − | 0.944145i | ||||||||
−4.72331 | + | 6.50108i | −0.213814 | + | 0.294290i | |||||
−6.28309 | − | 19.3374i | −0.284131 | − | 0.874466i | |||||
0 | 0 | |||||||||
−14.7908 | − | 10.7462i | −0.667500 | − | 0.484967i | 0.201687 | − | 0.979450i | ||
−0.869188 | + | 0.494483i | ||||||||
22.2707 | + | 30.6530i | 1.00404 | + | 1.38194i | |||||
21.4084 | + | 6.95602i | 0.964187 | + | 0.313283i | |||||
−0.800462 | −0.0360145 | |||||||||
0 | 0 | |||||||||
4.99796 | 0.224415 | |||||||||
28.8990 | + | 9.38985i | 1.29630 | + | 0.421192i | |||||
−0.382551 | − | 0.526536i | −0.0171425 | − | 0.0235947i | |||||
18.3522 | + | 13.3336i | 0.821557 | + | 0.596896i | 0.917158 | − | 0.398524i | ||
−0.0956011 | + | 0.995420i | ||||||||
0 | 0 | |||||||||
−18.1228 | − | 55.7762i | −0.809666 | − | 2.49190i | |||||
0.495958 | − | 0.682627i | 0.0221357 | − | 0.0304671i | |||||
18.9706 | + | 26.1108i | 0.845859 | + | 1.16422i | 0.984760 | + | 0.173919i | ||
−0.138901 | + | 0.990306i | ||||||||
3.62060 | − | 11.1431i | 0.161274 | − | 0.496352i | |||||
0 | 0 | |||||||||
0.346746 | + | 0.767741i | 0.0154148 | + | 0.0341303i | |||||
34.5474i | 1.53430i | |||||||||
−11.8282 | − | 3.84323i | −0.524794 | − | 0.170516i | |||||
17.8771 | − | 12.9885i | 0.792390 | − | 0.575705i | −0.116282 | − | 0.993216i | ||
0.908672 | + | 0.417512i | ||||||||
0 | 0 | |||||||||
9.42134 | + | 28.9959i | 0.416776 | + | 1.28270i | |||||
−10.1984 | + | 3.31365i | −0.450709 | + | 0.146444i | |||||
24.5705 | − | 33.8184i | 1.08481 | − | 1.49312i | |||||
0.344841 | − | 0.250541i | 0.0152103 | − | 0.0110509i | |||||
0 | 0 | |||||||||
−25.0475 | −1.10266 | |||||||||
22.8259 | + | 4.72449i | 1.00388 | + | 0.207783i | |||||
− | 1.57291i | − | 0.0691098i | |||||||
−0.216050 | + | 0.664934i | −0.00948355 | + | 0.0291874i | |||||
0 | 0 | |||||||||
13.7909 | + | 10.0196i | 0.604189 | + | 0.438969i | 0.847363 | − | 0.531014i | ||
−0.243175 | + | 0.969983i | ||||||||
3.24778 | − | 1.05527i | 0.142151 | − | 0.0461878i | |||||
19.0148 | − | 6.17828i | 0.831459 | − | 0.270157i | 0.137799 | − | 0.990460i | ||
0.693660 | + | 0.720303i | ||||||||
−29.6035 | − | 21.5082i | −1.29323 | − | 0.939589i | |||||
0 | 0 | |||||||||
0.781285 | − | 2.40455i | 0.0340657 | − | 0.104843i | |||||
6.99476i | 0.304697i | |||||||||
4.22448 | + | 38.2277i | 0.183847 | + | 1.66365i | |||||
19.6802 | 0.855661 | |||||||||
0 | 0 | |||||||||
19.2186 | − | 13.9632i | 0.834018 | − | 0.605949i | |||||
−19.9573 | + | 27.4689i | −0.865260 | + | 1.19093i | |||||
−7.28553 | + | 2.36721i | −0.315571 | + | 0.102535i | |||||
−0.888045 | − | 2.73312i | −0.0384295 | − | 0.118274i | |||||
0 | 0 | |||||||||
−3.65531 | + | 2.65574i | −0.157885 | + | 0.114710i | |||||
−48.2334 | − | 15.6720i | −2.08143 | − | 0.676297i | |||||
− | 2.43147i | − | 0.104828i | |||||||
16.5431 | + | 9.43371i | 0.712563 | + | 0.406338i | |||||
0 | 0 | |||||||||
−2.28788 | + | 7.04138i | −0.0983638 | + | 0.302733i | −0.988116 | − | 0.153712i | ||
0.889752 | + | 0.456444i | ||||||||
0.577315 | + | 0.794606i | 0.0247978 | + | 0.0341313i | |||||
−30.4416 | + | 41.8992i | −1.30637 | + | 1.79807i | |||||
−2.77345 | − | 8.53582i | −0.118911 | − | 0.365970i | |||||
0 | 0 | |||||||||
1.43716 | + | 1.04415i | 0.0615046 | + | 0.0446857i | |||||
11.5228 | + | 15.8598i | 0.492679 | + | 0.678115i | 0.980879 | − | 0.194617i | ||
−0.488200 | + | 0.872732i | ||||||||
7.86712 | + | 2.55618i | 0.336067 | + | 0.109195i | |||||
85.6591 | 3.65584 | |||||||||
0 | 0 | |||||||||
−19.8893 | −0.847314 | |||||||||
2.87107 | + | 0.932866i | 0.122201 | + | 0.0397054i | |||||
0.826665 | + | 1.13781i | 0.0351534 | + | 0.0483845i | |||||
−2.08921 | − | 1.51790i | −0.0887620 | − | 0.0644894i | |||||
0 | 0 | |||||||||
1.67133 | + | 5.14384i | 0.0708804 | + | 0.218147i | |||||
9.93712 | − | 13.6773i | 0.421049 | − | 0.579524i | −0.544821 | − | 0.838553i | ||
0.965870 | + | 0.259028i | ||||||||
0.623725 | + | 0.858484i | 0.0264044 | + | 0.0363425i | |||||
1.56490 | − | 4.81627i | 0.0661882 | − | 0.203706i | |||||
0 | 0 | |||||||||
−53.5006 | + | 5.91225i | −2.25880 | + | 0.249616i | |||||
2.92984i | 0.123588i | |||||||||
−18.1665 | − | 5.90264i | −0.765625 | − | 0.248767i | −0.0999340 | − | 0.994994i | ||
−0.665691 | + | 0.746227i | ||||||||
33.6241 | − | 24.4293i | 1.41583 | − | 1.02866i | |||||
0 | 0 | |||||||||
0.0699928 | + | 0.215416i | 0.00294202 | + | 0.00905460i | |||||
−27.9848 | + | 9.09282i | −1.17525 | + | 0.381862i | |||||
2.77648 | − | 3.82150i | 0.116499 | − | 0.160346i | |||||
−14.3191 | + | 10.4034i | −0.600286 | + | 0.436133i | −0.845980 | − | 0.533214i | ||
0.245694 | + | 0.969347i | ||||||||
0 | 0 | |||||||||
−5.15632 | −0.215785 | −0.107893 | − | 0.994163i | ||||||
−0.107893 | + | 0.994163i | ||||||||
−7.69075 | − | 1.59183i | −0.321567 | − | 0.0665577i | |||||
62.0141i | 2.59068i | |||||||||
0.985225 | − | 3.03221i | 0.0411225 | − | 0.126562i | |||||
0 | 0 | |||||||||
36.0696 | + | 26.2061i | 1.50290 | + | 1.09192i | |||||
−19.1835 | + | 6.23309i | −0.798619 | + | 0.259487i | −0.679770 | − | 0.733425i | ||
−0.118849 | + | 0.992912i | ||||||||
1.66308 | − | 0.540368i | 0.0691751 | − | 0.0224763i | |||||
−20.5626 | − | 14.9396i | −0.854552 | − | 0.620868i | |||||
0 | 0 | |||||||||
1.72478 | − | 5.30834i | 0.0715561 | − | 0.220227i | |||||
− | 3.87587i | − | 0.160660i | |||||||
32.6776 | − | 14.7587i | 1.35337 | − | 0.611241i | |||||
4.73947 | 0.196121 | |||||||||
0 | 0 | |||||||||
1.42179 | − | 1.03299i | 0.0587334 | − | 0.0426723i | |||||
20.8185 | − | 28.6541i | 0.859270 | − | 1.18268i | −0.122474 | − | 0.992472i | ||
0.981743 | − | 0.190211i | ||||||||
32.2938 | − | 10.4929i | 1.33177 | − | 0.432719i | |||||
−1.90984 | − | 5.87789i | −0.0786936 | − | 0.242194i | |||||
0 | 0 | |||||||||
−6.28657 | + | 4.56746i | −0.258595 | + | 0.187880i | |||||
11.6755 | + | 3.79359i | 0.479859 | + | 0.155916i | |||||
38.2459i | 1.57057i | 0.619134 | + | 0.785285i | ||||||
−0.619134 | + | 0.785285i | ||||||||
−2.97620 | + | 2.70871i | −0.122115 | + | 0.111140i | |||||
0 | 0 | |||||||||
10.8627 | − | 33.4321i | 0.444955 | − | 1.36943i | |||||
−15.4044 | − | 21.2023i | −0.630459 | − | 0.867752i | |||||
−0.178500 | + | 0.245685i | −0.00729943 | + | 0.0100468i | |||||
−7.32601 | − | 22.5471i | −0.299333 | − | 0.921251i | −0.981732 | − | 0.190271i | ||
0.682399 | − | 0.730980i | ||||||||
0 | 0 | |||||||||
−7.93032 | − | 5.76172i | −0.323485 | − | 0.235025i | 0.414176 | − | 0.910197i | ||
−0.737661 | + | 0.675171i | ||||||||
1.23886 | + | 1.70514i | 0.0504920 | + | 0.0694963i | |||||
45.8056 | + | 14.8831i | 1.86535 | + | 0.606088i | |||||
−2.87935 | −0.117159 | |||||||||
0 | 0 | |||||||||
1.09138 | 0.0443343 | |||||||||
2.00862 | + | 0.652640i | 0.0815273 | + | 0.0264898i | 0.349497 | − | 0.936938i | ||
−0.267969 | + | 0.963427i | ||||||||
4.66122 | + | 6.41562i | 0.189037 | + | 0.260188i | |||||
35.7094 | + | 25.9444i | 1.44702 | + | 1.05132i | |||||
0 | 0 | |||||||||
2.59666 | + | 7.99168i | 0.105049 | + | 0.323309i | |||||
−37.4288 | + | 51.5163i | −1.51297 | + | 2.08242i | |||||
−1.66624 | − | 2.29338i | −0.0672986 | − | 0.0926286i | 0.774041 | − | 0.633136i | ||
−0.841340 | + | 0.540507i | ||||||||
−0.973800 | + | 2.99705i | −0.0392994 | + | 0.120951i | |||||
0 | 0 | |||||||||
4.85853 | − | 4.42186i | 0.195756 | − | 0.178162i | |||||
− | 43.2099i | − | 1.73957i | −0.493434 | − | 0.869783i | ||||
0.493434 | − | 0.869783i | ||||||||
−2.61489 | − | 0.849631i | −0.105187 | − | 0.0341772i | |||||
−37.9078 | + | 27.5416i | −1.52364 | + | 1.10699i | −0.563998 | + | 0.825776i | ||
−0.959645 | + | 0.281216i | ||||||||
0 | 0 | |||||||||
−4.90070 | − | 15.0828i | −0.196658 | − | 0.605252i | |||||
2.47308 | − | 0.803551i | 0.0991613 | − | 0.0322195i | |||||
14.4862 | − | 19.9385i | 0.580376 | − | 0.798818i | |||||
−11.2168 | + | 8.14946i | −0.449030 | + | 0.326239i | |||||
0 | 0 | |||||||||
−2.43738 | −0.0974173 | |||||||||
43.3437 | − | 19.5760i | 1.73098 | − | 0.781789i | |||||
− | 6.64872i | − | 0.265313i | |||||||
−5.30922 | + | 16.3401i | −0.211693 | + | 0.651523i | |||||
0 | 0 | |||||||||
−4.16305 | − | 3.02463i | −0.165728 | − | 0.120409i | 0.501830 | − | 0.864966i | ||
−0.667558 | + | 0.744558i | ||||||||
0.207930 | − | 0.0675605i | 0.00827101 | − | 0.00268741i | |||||
−30.6948 | + | 9.97335i | −1.22001 | + | 0.396405i | |||||
1.26141 | + | 0.916466i | 0.0500969 | + | 0.0363975i | |||||
0 | 0 | |||||||||
19.7560 | − | 60.8027i | 0.783376 | − | 2.41098i | |||||
6.86517i | 0.272008i | |||||||||
1.87501 | + | 0.388089i | 0.0742324 | + | 0.0153646i | |||||
−50.3526 | −1.99192 | |||||||||
0 | 0 | |||||||||
−13.4838 | + | 9.79658i | −0.532580 | + | 0.386942i | −0.821322 | − | 0.570465i | ||
0.288742 | + | 0.957407i | ||||||||
−3.44040 | + | 4.73530i | −0.135782 | + | 0.186887i | |||||
34.0436 | − | 11.0614i | 1.34255 | − | 0.436220i | 0.452368 | − | 0.891831i | ||
0.890179 | + | 0.455611i | ||||||||
3.98058 | + | 12.2510i | 0.156857 | + | 0.482755i | |||||
0 | 0 | |||||||||
−2.94402 | + | 2.13896i | −0.115831 | + | 0.0841561i | |||||
30.3007 | + | 9.84530i | 1.19124 | + | 0.387059i | 0.836533 | − | 0.547917i | ||
0.354712 | + | 0.934976i | ||||||||
4.57421i | 0.179692i | |||||||||
13.2392 | − | 1.46304i | 0.519685 | − | 0.0574295i | |||||
0 | 0 | |||||||||
−4.23840 | + | 13.0445i | −0.166116 | + | 0.511253i | |||||
−7.92749 | − | 10.9113i | −0.310465 | − | 0.427318i | |||||
−1.19071 | + | 1.63887i | −0.0465961 | + | 0.0641340i | −0.831679 | − | 0.555256i | ||
0.785083 | + | 0.619390i | ||||||||
1.58867 | + | 4.88944i | 0.0621221 | + | 0.191192i | |||||
0 | 0 | |||||||||
20.1314 | + | 14.6263i | 0.786001 | + | 0.571063i | |||||
−29.6958 | − | 40.8727i | −1.15854 | − | 1.59460i | |||||
−3.32611 | − | 1.08072i | −0.129665 | − | 0.0421308i | |||||
14.3580 | 0.559308 | 0.279654 | − | 0.960101i | ||||||
0.279654 | + | 0.960101i | ||||||||
0 | 0 | |||||||||
28.0721 | 1.09188 | 0.545938 | − | 0.837825i | ||||||
0.545938 | + | 0.837825i | ||||||||
−3.41555 | − | 1.10978i | −0.132749 | − | 0.0431328i | |||||
−11.4053 | − | 15.6981i | −0.442947 | − | 0.609664i | |||||
−0.701956 | − | 0.510001i | −0.0272412 | − | 0.0197919i | |||||
0 | 0 | |||||||||
0.805438 | + | 2.47888i | 0.0312101 | + | 0.0960548i | |||||
−4.43526 | + | 6.10461i | −0.171734 | + | 0.236371i | |||||
−22.8658 | − | 31.4721i | −0.884706 | − | 1.21769i | |||||
7.42620 | − | 22.8555i | 0.287113 | − | 0.883644i | |||||
0 | 0 | |||||||||
41.7223 | + | 23.7921i | 1.61067 | + | 0.918485i | |||||
− | 17.5989i | − | 0.678893i | |||||||
37.3122 | + | 12.1235i | 1.43828 | + | 0.467326i | 0.921361 | − | 0.388708i | ||
0.516919 | + | 0.856034i | ||||||||
−1.29675 | + | 0.942144i | −0.0499490 | + | 0.0362900i | |||||
0 | 0 | |||||||||
7.08148 | + | 21.7946i | 0.272365 | + | 0.838252i | |||||
−46.9682 | + | 15.2609i | −1.80513 | + | 0.586524i | −0.999979 | − | 0.00653953i | ||
−0.805156 | + | 0.593063i | ||||||||
0.873091 | − | 1.20171i | 0.0335309 | − | 0.0461513i | |||||
26.8911 | − | 19.5375i | 1.03199 | − | 0.749782i | |||||
0 | 0 | |||||||||
61.8647 | 2.37066 | |||||||||
0.0653531 | + | 0.591387i | 0.00250250 | + | 0.0226454i | |||||
29.7973i | 1.14016i | 0.821589 | + | 0.570081i | ||||||
−0.821589 | + | 0.570081i | ||||||||
17.3865 | − | 53.5101i | 0.664788 | − | 2.04601i | |||||
0 | 0 | |||||||||
0.506462 | + | 0.367966i | 0.0193368 | + | 0.0140490i | |||||
22.7527 | − | 7.39279i | 0.868068 | − | 0.282052i | |||||
−15.6449 | + | 5.08334i | −0.596456 | + | 0.193800i | |||||
10.4571 | + | 7.59756i | 0.398386 | + | 0.289444i | |||||
0 | 0 | |||||||||
9.94364 | − | 30.6034i | 0.378274 | − | 1.16421i | −0.562970 | − | 0.826478i | ||
0.941243 | − | 0.337729i | ||||||||
0.463765i | 0.0176297i | |||||||||
−68.5754 | − | 14.1937i | −2.60497 | − | 0.539175i | |||||
0.120706 | 0.00458195 | |||||||||
0 | 0 | |||||||||
5.55115 | − | 4.03314i | 0.210416 | − | 0.152876i | |||||
−20.4699 | + | 28.1744i | −0.775353 | + | 1.06718i | |||||
2.35881 | − | 0.766424i | 0.0892823 | − | 0.0290096i | |||||
−23.4905 | − | 72.2964i | −0.888494 | − | 2.73450i | |||||
0 | 0 | |||||||||
−10.8560 | + | 7.88737i | −0.410027 | + | 0.297902i | −0.773613 | − | 0.633659i | ||
0.363586 | + | 0.931561i | ||||||||
−1.37972 | − | 0.448297i | −0.0520741 | − | 0.0169199i | |||||
− | 15.1807i | − | 0.572549i | |||||||
10.2897 | + | 22.7827i | 0.387808 | + | 0.858657i | |||||
0 | 0 | |||||||||
0.0480537 | − | 0.147894i | 0.00180852 | − | 0.00556606i | |||||
5.50144 | + | 7.57209i | 0.206903 | + | 0.284778i | |||||
13.9596 | − | 19.2138i | 0.524634 | − | 0.722097i | |||||
6.97855 | + | 21.4778i | 0.262085 | + | 0.806615i | 0.992351 | + | 0.123451i | ||
−0.730266 | + | 0.683163i | ||||||||
0 | 0 | |||||||||
−1.88545 | − | 1.36986i | −0.0707097 | − | 0.0513736i | |||||
−2.25192 | − | 3.09950i | −0.0843942 | − | 0.116159i | |||||
−2.22998 | − | 0.724565i | −0.0835134 | − | 0.0271352i | |||||
8.07585 | 0.302231 | |||||||||
0 | 0 | |||||||||
−33.6409 | −1.25722 | |||||||||
−1.55347 | − | 0.504754i | −0.0580155 | − | 0.0188504i | |||||
0.124521 | + | 0.171389i | 0.00464710 | + | 0.00639618i | |||||
−21.5922 | − | 15.6876i | −0.805253 | − | 0.585050i | 0.107198 | − | 0.994238i | ||
−0.912450 | + | 0.409187i | ||||||||
0 | 0 | |||||||||
−7.28639 | − | 22.4252i | −0.271359 | − | 0.835158i | |||||
0.333079 | − | 0.458444i | 0.0123959 | − | 0.0170615i | |||||
−38.5403 | − | 53.0461i | −1.43333 | − | 1.97281i | |||||
−10.6159 | + | 32.6724i | −0.394537 | + | 1.21426i | |||||
0 | 0 | |||||||||
−4.46808 | + | 0.999728i | −0.165826 | + | 0.0371034i | |||||
− | 10.6151i | − | 0.393693i | −0.980434 | − | 0.196846i | ||||
0.980434 | − | 0.196846i | ||||||||
2.25234 | + | 0.731829i | 0.0834772 | + | 0.0271234i | |||||
−23.6282 | + | 17.1669i | −0.875118 | + | 0.635810i | |||||
0 | 0 | |||||||||
−7.11424 | − | 21.8954i | −0.263130 | − | 0.809830i | |||||
81.4460 | − | 26.4634i | 3.01033 | − | 0.978115i | |||||
7.54772 | − | 10.3886i | 0.278782 | − | 0.383710i | −0.646548 | − | 0.762873i | ||
0.925330 | + | 0.379163i | ||||||||
−1.19841 | + | 0.870694i | −0.0442340 | + | 0.0321379i | |||||
0 | 0 | |||||||||
3.00857 | 0.110897 | |||||||||
18.1769 | + | 19.9719i | 0.669553 | + | 0.735673i | |||||
5.28322i | 0.194478i | |||||||||
−10.4930 | + | 32.2942i | −0.385992 | + | 1.18796i | 0.549766 | + | 0.835318i | ||
−0.935758 | + | 0.352642i | ||||||||
0 | 0 | |||||||||
13.8704 | + | 10.0774i | 0.509542 | + | 0.370204i | |||||
−5.11635 | + | 1.66240i | −0.187827 | + | 0.0610287i | |||||
43.8477 | − | 14.2470i | 1.60862 | − | 0.522672i | 0.639399 | − | 0.768875i | ||
0.969218 | + | 0.246203i | ||||||||
1.72495 | + | 1.25325i | 0.0632398 | + | 0.0459464i | |||||
0 | 0 | |||||||||
−1.20375 | + | 3.70475i | −0.0440723 | + | 0.135641i | |||||
9.24906i | 0.338406i | |||||||||
−32.5394 | + | 14.6963i | −1.18976 | + | 0.537349i | |||||
−50.1963 | −1.83413 | |||||||||
0 | 0 | |||||||||
−33.8831 | + | 24.6175i | −1.23641 | + | 0.898306i | −0.997354 | − | 0.0726986i | ||
−0.239059 | + | 0.971005i | ||||||||
16.0440 | − | 22.0827i | 0.585065 | − | 0.805273i | |||||
−17.1879 | + | 5.58469i | −0.626362 | + | 0.203517i | |||||
0.213300 | + | 0.656470i | 0.00776793 | + | 0.0239072i | |||||
0 | 0 | |||||||||
−49.7834 | + | 36.1697i | −1.81060 | + | 1.31548i | |||||
22.1385 | + | 7.19323i | 0.804637 | + | 0.261442i | 0.682325 | − | 0.731049i | ||
0.122312 | + | 0.992492i | ||||||||
− | 2.60281i | − | 0.0945384i | |||||||
3.65708 | − | 17.6688i | 0.132744 | − | 0.641337i | |||||
0 | 0 | |||||||||
6.47737 | − | 19.9353i | 0.234805 | − | 0.722654i | −0.762343 | − | 0.647174i | ||
0.997147 | − | 0.0754807i | ||||||||
−1.53631 | − | 2.11455i | −0.0556547 | − | 0.0766021i | |||||
−25.9151 | + | 35.6691i | −0.938190 | + | 1.29131i | |||||
12.7116 | + | 39.1221i | 0.459888 | + | 1.41539i | |||||
0 | 0 | |||||||||
−2.44303 | − | 1.77497i | −0.0882703 | − | 0.0641321i | |||||
2.82236 | + | 3.88465i | 0.101910 | + | 0.140266i | |||||
41.0842 | + | 13.3491i | 1.48250 | + | 0.481693i | |||||
−24.9924 | −0.901249 | −0.450624 | − | 0.892714i | ||||||
−0.450624 | + | 0.892714i | ||||||||
0 | 0 | |||||||||
−9.12960 | −0.328795 | |||||||||
−16.0344 | − | 5.20989i | −0.577090 | − | 0.187508i | |||||
12.8231 | + | 17.6495i | 0.461215 | + | 0.634808i | 0.974760 | − | 0.223254i | ||
−0.513545 | + | 0.858063i | ||||||||
−2.82557 | − | 2.05289i | −0.101563 | − | 0.0737898i | |||||
0 | 0 | |||||||||
−1.59674 | − | 4.91425i | −0.0573195 | − | 0.176411i | |||||
−19.8022 | + | 27.2554i | −0.710401 | + | 0.977783i | |||||
−3.07112 | − | 4.22703i | −0.110105 | − | 0.151546i | |||||
9.50871 | − | 29.2648i | 0.340685 | − | 1.04852i | |||||
0 | 0 | |||||||||
−24.5254 | − | 13.9856i | −0.877589 | − | 0.500445i | |||||
1.38058i | 0.0493696i | |||||||||
−34.2823 | − | 11.1390i | −1.22515 | − | 0.398075i | |||||
18.0414 | − | 13.1079i | 0.644337 | − | 0.468138i | |||||
0 | 0 | |||||||||
−2.37637 | − | 7.31371i | −0.0847623 | − | 0.260871i | |||||
22.6190 | − | 7.34937i | 0.806281 | − | 0.261977i | 0.123259 | − | 0.992374i | ||
0.683022 | + | 0.730398i | ||||||||
−3.02971 | + | 4.17003i | −0.107929 | + | 0.148551i | |||||
−43.8103 | + | 31.8300i | −1.55969 | + | 1.13318i | |||||
0 | 0 | |||||||||
12.7386 | 0.452933 | |||||||||
−5.39267 | + | 9.45668i | −0.191620 | + | 0.336029i | |||||
17.3142i | 0.614845i | |||||||||
−0.788689 | + | 2.42733i | −0.0279895 | + | 0.0861429i | |||||
0 | 0 | |||||||||
−14.0640 | − | 10.2181i | −0.498485 | − | 0.362171i | |||||
−33.9877 | + | 11.0433i | −1.20391 | + | 0.391173i | −0.841197 | − | 0.540729i | ||
−0.362711 | + | 0.931902i | ||||||||
−6.78636 | + | 2.20502i | −0.240234 | + | 0.0780569i | |||||
30.9052 | + | 22.4540i | 1.09335 | + | 0.794364i | |||||
0 | 0 | |||||||||
−12.6201 | + | 38.8406i | −0.445909 | + | 1.37237i | |||||
1.82447i | 0.0644244i | |||||||||
−3.11149 | − | 28.1561i | −0.109802 | − | 0.993609i | |||||
48.1506 | 1.69814 | |||||||||
0 | 0 | |||||||||
−0.173524 | + | 0.126073i | −0.00611214 | + | 0.00444073i | |||||
−30.6111 | + | 42.1325i | −1.07756 | + | 1.48313i | |||||
1.38377 | − | 0.449614i | 0.0486809 | − | 0.0158174i | |||||
12.8563 | + | 39.5676i | 0.452003 | + | 1.39112i | 0.874618 | + | 0.484812i | ||
−0.422616 | + | 0.906309i | ||||||||
0 | 0 | |||||||||
−19.5592 | + | 14.2106i | −0.686815 | + | 0.499001i | −0.875612 | − | 0.483016i | ||
0.188796 | + | 0.982016i | ||||||||
27.8457 | + | 9.04761i | 0.977192 | + | 0.317509i | |||||
− | 21.0371i | − | 0.737802i | |||||||
−0.296211 | + | 1.43111i | −0.0103822 | + | 0.0501605i | |||||
0 | 0 | |||||||||
−19.4776 | + | 59.9458i | −0.681851 | + | 2.09852i | |||||
11.9566 | + | 16.4568i | 0.418308 | + | 0.575751i | |||||
−1.74236 | + | 2.39815i | −0.0609202 | + | 0.0838494i | |||||
−7.80109 | − | 24.0093i | −0.272592 | − | 0.838953i | |||||
0 | 0 | |||||||||
−27.5371 | − | 20.0069i | −0.961051 | − | 0.698244i | −0.00765641 | − | 0.999971i | ||
−0.953395 | + | 0.301726i | ||||||||
1.02182 | + | 1.40642i | 0.0356401 | + | 0.0490544i | |||||
5.26935 | + | 1.71212i | 0.183678 | + | 0.0596806i | 0.399412 | − | 0.916772i | ||
−0.215734 | + | 0.976452i | ||||||||
−3.66547 | −0.127693 | |||||||||
0 | 0 | |||||||||
−1.99845 | −0.0695348 | |||||||||
24.4148 | + | 7.93284i | 0.848984 | + | 0.275852i | 0.701021 | − | 0.713141i | ||
0.147964 | + | 0.988993i | ||||||||
−12.5466 | − | 17.2690i | −0.436026 | − | 0.600138i | |||||
33.7819 | + | 24.5440i | 1.17329 | + | 0.852449i | 0.991400 | − | 0.130869i | ||
0.181895 | + | 0.983318i | ||||||||
0 | 0 | |||||||||
17.0922 | + | 52.6043i | 0.592921 | + | 1.82482i | |||||
−5.29701 | + | 7.29071i | −0.183641 | + | 0.252760i | |||||
18.3448 | + | 25.2494i | 0.635609 | + | 0.874840i | |||||
−0.351245 | + | 1.08102i | −0.0121626 | + | 0.0374327i | |||||
0 | 0 | |||||||||
23.3311 | − | 21.2342i | 0.806923 | − | 0.734400i | |||||
− | 11.2010i | − | 0.387164i | |||||||
4.98007 | + | 1.61812i | 0.172034 | + | 0.0558971i | |||||
8.29817 | − | 6.02897i | 0.286485 | − | 0.208143i | −0.435256 | − | 0.900307i | ||
0.721741 | + | 0.692163i | ||||||||
0 | 0 | |||||||||
−3.66156 | − | 11.2691i | −0.126261 | − | 0.388590i | |||||
1.21489 | − | 0.394743i | 0.0418680 | − | 0.0136037i | |||||
36.8853 | − | 50.7682i | 1.27040 | − | 1.74855i | |||||
−17.3198 | + | 12.5836i | −0.596172 | + | 0.433144i | |||||
0 | 0 | |||||||||
5.79530 | 0.199246 | |||||||||
−29.4590 | − | 25.9605i | −1.01222 | − | 0.892012i | |||||
− | 41.9873i | − | 1.44185i | |||||||
1.49915 | − | 4.61390i | 0.0514506 | − | 0.158349i | |||||
0 | 0 | |||||||||
−4.65938 | − | 3.38524i | −0.159721 | − | 0.116044i | |||||
−47.8760 | + | 15.5558i | −1.64020 | + | 0.532935i | |||||
−27.4331 | + | 8.91356i | −0.939292 | + | 0.305195i | −0.738357 | − | 0.674410i | ||
−0.200935 | + | 0.979605i | ||||||||
−5.82986 | − | 4.23564i | −0.199494 | − | 0.144941i | |||||
0 | 0 | |||||||||
−2.41131 | + | 7.42126i | −0.0824170 | + | 0.253653i | |||||
20.7640i | 0.709283i | 0.935002 | + | 0.354642i | ||||||
−0.935002 | + | 0.354642i | ||||||||
−1.11096 | − | 1.22067i | −0.0379275 | − | 0.0416729i | |||||
−12.1297 | −0.413859 | −0.206929 | − | 0.978356i | ||||||
−0.206929 | + | 0.978356i | ||||||||
0 | 0 | |||||||||
−55.2461 | + | 40.1386i | −1.88278 | + | 1.36792i | |||||
2.28916 | − | 3.15076i | 0.0779692 | − | 0.107315i | |||||
−35.5836 | + | 11.5618i | −1.21128 | + | 0.393568i | −0.843899 | − | 0.536503i | ||
−0.367380 | + | 0.930071i | ||||||||
4.44126 | + | 13.6688i | 0.151095 | + | 0.465022i | |||||
0 | 0 | |||||||||
2.29517 | − | 1.66754i | 0.0779929 | − | 0.0566652i | |||||
−35.6209 | − | 11.5739i | −1.20975 | − | 0.393071i | |||||
9.09800i | 0.308806i | |||||||||
−0.537869 | − | 1.19091i | −0.0182460 | − | 0.0403989i | |||||
0 | 0 | |||||||||
−3.00831 | + | 9.25864i | −0.101933 | + | 0.313717i | |||||
4.02859 | + | 5.54487i | 0.136425 | + | 0.187773i | |||||
−32.3754 | + | 44.5609i | −1.09574 | + | 1.50816i | |||||
−0.376953 | − | 1.16014i | −0.0127506 | − | 0.0392424i | |||||
0 | 0 | |||||||||
−40.8623 | − | 29.6882i | −1.38061 | − | 1.00307i | |||||
30.7915 | + | 42.3808i | 1.03975 | + | 1.43110i | 0.897365 | + | 0.441289i | ||
0.142389 | + | 0.989811i | ||||||||
0.778593 | + | 0.252980i | 0.0262762 | + | 0.00853767i | |||||
−37.6416 | −1.26962 | |||||||||
0 | 0 | |||||||||
11.0403 | 0.371956 | 0.185978 | − | 0.982554i | ||||||
0.185978 | + | 0.982554i | ||||||||
4.50299 | + | 1.46311i | 0.151624 | + | 0.0492655i | |||||
14.2179 | + | 19.5693i | 0.478470 | + | 0.658558i | 0.978210 | − | 0.207618i | ||
−0.499740 | + | 0.866176i | ||||||||
−10.4129 | − | 7.56545i | −0.350225 | − | 0.254453i | |||||
0 | 0 | |||||||||
−1.55599 | − | 4.78883i | −0.0522744 | − | 0.160884i | |||||
10.2457 | − | 14.1020i | 0.344016 | − | 0.473497i | −0.601593 | − | 0.798803i | ||
0.945609 | + | 0.325305i | ||||||||
3.07832 | + | 4.23694i | 0.103302 | + | 0.142183i | |||||
6.92668 | − | 21.3181i | 0.232313 | − | 0.714987i | |||||
0 | 0 | |||||||||
27.1743 | − | 3.00299i | 0.910374 | − | 0.100604i | |||||
− | 15.9408i | − | 0.533738i | |||||||
−32.1013 | − | 10.4303i | −1.07423 | − | 0.349038i | |||||
5.97669 | − | 4.34232i | 0.199891 | − | 0.145229i | |||||
0 | 0 | |||||||||
−4.80182 | − | 14.7785i | −0.160418 | − | 0.493714i | |||||
6.18611 | − | 2.00999i | 0.206548 | − | 0.0671116i | |||||
−0.561461 | + | 0.772785i | −0.0187362 | + | 0.0257882i | |||||
−4.31162 | + | 3.13257i | −0.143801 | + | 0.104477i | |||||
0 | 0 | |||||||||
58.7622 | 1.95765 | |||||||||
−1.46743 | + | 2.57332i | −0.0488602 | + | 0.0856821i | |||||
− | 45.1433i | − | 1.50228i | |||||||
0.611934 | − | 1.88334i | 0.0203526 | − | 0.0626389i | |||||
0 | 0 | |||||||||
−0.489551 | − | 0.355680i | −0.0162643 | − | 0.0118167i | |||||
12.3385 | − | 4.00901i | 0.409692 | − | 0.133117i | −0.0969182 | − | 0.995292i | ||
0.506610 | + | 0.862176i | ||||||||
39.0279 | − | 12.6809i | 1.29519 | − | 0.420832i | |||||
−12.5476 | − | 9.11637i | −0.416178 | − | 0.302371i | |||||
0 | 0 | |||||||||
−6.28687 | + | 19.3490i | −0.208293 | + | 0.641061i | 0.791269 | + | 0.611468i | ||
−0.999562 | + | 0.0295922i | ||||||||
− | 55.6922i | − | 1.84415i | |||||||
−2.56896 | + | 4.50498i | −0.0850202 | + | 0.149093i | |||||
−2.97102 | −0.0982725 | |||||||||
0 | 0 | |||||||||
12.8384 | − | 9.32761i | 0.424191 | − | 0.308193i | |||||
38.7643 | − | 53.3545i | 1.28011 | − | 1.76192i | |||||
−6.27238 | + | 2.03802i | −0.207019 | + | 0.0672647i | |||||
−2.73013 | − | 8.40248i | −0.0900587 | − | 0.277172i | 0.895876 | − | 0.444305i | ||
−0.985934 | + | 0.167133i | ||||||||
0 | 0 | |||||||||
54.6054 | − | 39.6732i | 1.79931 | − | 1.30728i | |||||
−3.84650 | − | 1.24980i | −0.126678 | − | 0.0411601i | |||||
− | 10.1777i | − | 0.335004i | |||||||
−69.5875 | + | 7.69000i | −2.28926 | + | 0.252982i | |||||
0 | 0 | |||||||||
0.768475 | − | 2.36512i | 0.0252537 | − | 0.0777228i | |||||
22.9664 | + | 31.6106i | 0.754317 | + | 1.03823i | |||||
4.01945 | − | 5.53230i | 0.131945 | − | 0.181607i | |||||
−4.77831 | − | 14.7061i | −0.156771 | − | 0.482492i | 0.841565 | − | 0.540156i | ||
−0.998336 | + | 0.0576639i | ||||||||
0 | 0 | |||||||||
−22.3097 | − | 16.2089i | −0.731170 | − | 0.531226i | |||||
−29.6384 | − | 40.7938i | −0.970839 | − | 1.33625i | |||||
−52.9698 | − | 17.2109i | −1.73415 | − | 0.563461i | |||||
−0.557931 | −0.0182561 | |||||||||
0 | 0 | |||||||||
−3.92439 | −0.128273 | |||||||||
39.6078 | + | 12.8694i | 1.29393 | + | 0.420424i | 0.873466 | − | 0.486885i | ||
0.420465 | + | 0.907309i | ||||||||
−2.38154 | − | 3.27791i | −0.0777601 | − | 0.107028i | |||||
42.2349 | + | 30.6855i | 1.37828 | + | 1.00138i | |||||
0 | 0 | |||||||||
14.6364 | + | 45.0462i | 0.477133 | + | 1.46847i | 0.843059 | + | 0.537821i | ||
−0.365925 | + | 0.930644i | ||||||||
0.821303 | − | 1.13043i | 0.0267595 | − | 0.0368313i | |||||
−6.86179 | − | 9.44445i | −0.223451 | − | 0.307553i | |||||
4.81991 | − | 14.8341i | 0.156875 | − | 0.482810i | |||||
0 | 0 | |||||||||
−0.806061 | − | 1.78472i | −0.0262073 | − | 0.0580263i | |||||
41.5599i | 1.35052i | 0.737581 | + | 0.675258i | ||||||
−0.737581 | + | 0.675258i | ||||||||
−2.21591 | − | 0.719993i | −0.0719695 | − | 0.0233843i | |||||
8.26156 | − | 6.00238i | 0.268182 | − | 0.194845i | |||||
0 | 0 | |||||||||
−10.3198 | − | 31.7611i | −0.334642 | − | 1.02992i | |||||
10.2394 | − | 3.32699i | 0.331862 | − | 0.107829i | |||||
−16.5498 | + | 22.7788i | −0.536099 | + | 0.737877i | −0.988045 | − | 0.154169i | ||
0.451946 | + | 0.892046i | ||||||||
7.21202 | − | 5.23984i | 0.233498 | − | 0.169646i | |||||
0 | 0 | |||||||||
−1.08349 | −0.0350425 | |||||||||
−27.6044 | − | 30.3303i | −0.892322 | − | 0.980440i | |||||
0.167824i | 0.00542215i | |||||||||
−4.60702 | + | 14.1790i | −0.148769 | + | 0.457862i | |||||
0 | 0 | |||||||||
23.7397 | + | 17.2479i | 0.765798 | + | 0.556385i | |||||
−0.501055 | + | 0.162802i | −0.0161546 | + | 0.00524896i | |||||
79.1085 | − | 25.7039i | 2.54924 | − | 0.828297i | |||||
−35.1868 | − | 25.5647i | −1.13329 | − | 0.823384i | |||||
0 | 0 | |||||||||
−0.836551 | + | 2.57464i | −0.0269156 | + | 0.0828377i | |||||
− | 53.8069i | − | 1.73031i | −0.501502 | − | 0.865157i | ||||
0.501502 | − | 0.865157i | ||||||||
−5.25326 | + | 3.10827i | −0.168846 | + | 0.0999036i | |||||
77.9425 | 2.50387 | |||||||||
0 | 0 | |||||||||
9.60235 | − | 6.97651i | 0.308154 | − | 0.223887i | −0.422950 | − | 0.906153i | ||
0.731104 | + | 0.682266i | ||||||||
−1.74527 | + | 2.40216i | −0.0559797 | + | 0.0770494i | |||||
−9.27077 | + | 3.01226i | −0.297207 | + | 0.0965685i | |||||
−1.82053 | − | 5.60302i | −0.0583336 | − | 0.179532i | |||||
0 | 0 | |||||||||
45.5011 | − | 33.0585i | 1.45646 | − | 1.05818i | |||||
−32.9916 | − | 10.7196i | −1.05550 | − | 0.342951i | −0.270673 | − | 0.962671i | ||
−0.784823 | + | 0.619720i | ||||||||
− | 2.83442i | − | 0.0906346i | |||||||
−16.9350 | + | 15.4130i | −0.541246 | + | 0.492601i | |||||
0 | 0 | |||||||||
22.5768 | − | 69.4842i | 0.720821 | − | 2.21846i | |||||
−1.49805 | − | 2.06189i | −0.0478047 | − | 0.0657975i | |||||
33.4617 | − | 46.0561i | 1.06726 | − | 1.46896i | 0.194446 | − | 0.980913i | ||
0.872817 | − | 0.488048i | ||||||||
3.28039 | + | 10.0960i | 0.104575 | + | 0.321849i | |||||
0 | 0 | |||||||||
2.53868 | + | 1.84446i | 0.0808482 | + | 0.0587396i | |||||
44.0291 | + | 60.6009i | 1.40146 | + | 1.92895i | |||||
10.8159 | + | 3.51431i | 0.344101 | + | 0.111805i | |||||
7.71735 | 0.245397 | |||||||||
0 | 0 | |||||||||
36.4470 | 1.15778 | 0.578889 | − | 0.815407i | ||||||
0.578889 | + | 0.815407i | ||||||||
2.02092 | + | 0.656637i | 0.0641643 | + | 0.0208482i | |||||
45.2131 | + | 62.2305i | 1.43479 | + | 1.97482i | |||||
3.42694 | + | 2.48982i | 0.108696 | + | 0.0789722i | |||||
0 | 0 | |||||||||
2.85739 | + | 8.79415i | 0.0905399 | + | 0.278653i | |||||
14.1584 | − | 19.4874i | 0.448402 | − | 0.617173i | −0.523651 | − | 0.851933i | ||
0.972053 | + | 0.234760i | ||||||||
1.85875 | + | 2.55835i | 0.0588378 | + | 0.0809833i | |||||
8.50189 | − | 26.1661i | 0.268988 | − | 0.827860i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 275.2.z.c.174.5 | 32 | ||
5.2 | odd | 4 | 275.2.h.c.251.3 | yes | 16 | ||
5.3 | odd | 4 | 275.2.h.e.251.2 | yes | 16 | ||
5.4 | even | 2 | inner | 275.2.z.c.174.4 | 32 | ||
11.5 | even | 5 | inner | 275.2.z.c.49.4 | 32 | ||
55.7 | even | 20 | 3025.2.a.bm.1.4 | 8 | |||
55.18 | even | 20 | 3025.2.a.bj.1.5 | 8 | |||
55.27 | odd | 20 | 275.2.h.c.126.3 | ✓ | 16 | ||
55.37 | odd | 20 | 3025.2.a.bi.1.5 | 8 | |||
55.38 | odd | 20 | 275.2.h.e.126.2 | yes | 16 | ||
55.48 | odd | 20 | 3025.2.a.bn.1.4 | 8 | |||
55.49 | even | 10 | inner | 275.2.z.c.49.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
275.2.h.c.126.3 | ✓ | 16 | 55.27 | odd | 20 | ||
275.2.h.c.251.3 | yes | 16 | 5.2 | odd | 4 | ||
275.2.h.e.126.2 | yes | 16 | 55.38 | odd | 20 | ||
275.2.h.e.251.2 | yes | 16 | 5.3 | odd | 4 | ||
275.2.z.c.49.4 | 32 | 11.5 | even | 5 | inner | ||
275.2.z.c.49.5 | 32 | 55.49 | even | 10 | inner | ||
275.2.z.c.174.4 | 32 | 5.4 | even | 2 | inner | ||
275.2.z.c.174.5 | 32 | 1.1 | even | 1 | trivial | ||
3025.2.a.bi.1.5 | 8 | 55.37 | odd | 20 | |||
3025.2.a.bj.1.5 | 8 | 55.18 | even | 20 | |||
3025.2.a.bm.1.4 | 8 | 55.7 | even | 20 | |||
3025.2.a.bn.1.4 | 8 | 55.48 | odd | 20 |