Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [684,2,Mod(91,684)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(684, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("684.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 684.cf (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | no (minimal twist has level 228) |
Sato-Tate group: |
Embedding invariants
Embedding label | 127.3 | ||
Character | 684.127 | ||
Dual form | 684.2.cf.c.307.3 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.13356 | + | 0.845604i | −0.801547 | + | 0.597932i | |||||
0 | 0 | |||||||||
0.569909 | − | 1.91708i | 0.284954 | − | 0.958541i | |||||
−0.162908 | − | 0.923898i | −0.0728547 | − | 0.413180i | −0.999322 | − | 0.0368055i | ||
0.926468 | − | 0.376374i | ||||||||
0 | 0 | |||||||||
2.27351 | + | 1.31261i | 0.859305 | + | 0.496120i | 0.863780 | − | 0.503870i | ||
−0.00447442 | + | 0.999990i | ||||||||
0.975067 | + | 2.65504i | 0.344738 | + | 0.938699i | |||||
0 | 0 | |||||||||
0.965918 | + | 0.909537i | 0.305450 | + | 0.287621i | |||||
5.14137 | − | 2.96837i | 1.55018 | − | 0.894998i | 0.552057 | − | 0.833807i | ||
0.998126 | − | 0.0611917i | ||||||||
0 | 0 | |||||||||
−1.39481 | − | 3.83220i | −0.386850 | − | 1.06286i | −0.968411 | − | 0.249358i | ||
0.581562 | − | 0.813502i | ||||||||
−3.68710 | + | 0.434566i | −0.985419 | + | 0.116143i | |||||
0 | 0 | |||||||||
−3.35041 | − | 2.18512i | −0.837602 | − | 0.546281i | |||||
−2.94059 | + | 2.46745i | −0.713198 | + | 0.598444i | −0.925495 | − | 0.378761i | ||
0.212296 | + | 0.977205i | ||||||||
0 | 0 | |||||||||
−4.31383 | − | 0.625180i | −0.989661 | − | 0.143426i | |||||
−1.86403 | − | 0.214229i | −0.416810 | − | 0.0479031i | |||||
0 | 0 | |||||||||
−3.31798 | + | 7.71239i | −0.707396 | + | 1.64429i | |||||
−0.401333 | − | 0.0707658i | −0.0836836 | − | 0.0147557i | 0.131650 | − | 0.991296i | ||
−0.215333 | + | 0.976541i | ||||||||
0 | 0 | |||||||||
3.87141 | − | 1.40908i | 0.774283 | − | 0.281816i | |||||
4.82161 | + | 3.16457i | 0.945596 | + | 0.620623i | |||||
0 | 0 | |||||||||
3.81207 | − | 3.61043i | 0.720414 | − | 0.682308i | |||||
4.15634 | − | 4.95333i | 0.771813 | − | 0.919811i | −0.226720 | − | 0.973960i | ||
0.998533 | + | 0.0541493i | ||||||||
0 | 0 | |||||||||
−3.66403 | + | 6.34629i | −0.658080 | + | 1.13983i | 0.323032 | + | 0.946388i | ||
−0.981112 | + | 0.193440i | ||||||||
5.64563 | − | 0.356152i | 0.998016 | − | 0.0629594i | |||||
0 | 0 | |||||||||
1.24685 | − | 5.28357i | 0.213833 | − | 0.906125i | |||||
0.842345 | − | 2.31432i | 0.142382 | − | 0.391192i | |||||
0 | 0 | |||||||||
− | 2.51566i | − | 0.413571i | −0.978386 | − | 0.206786i | ||||
0.978386 | − | 0.206786i | ||||||||
5.41864 | − | 2.93911i | 0.879019 | − | 0.476787i | |||||
0 | 0 | |||||||||
2.29414 | − | 1.33339i | 0.362736 | − | 0.210828i | |||||
1.57709 | − | 4.33302i | 0.246300 | − | 0.676703i | −0.753514 | − | 0.657431i | ||
0.999814 | − | 0.0192719i | ||||||||
0 | 0 | |||||||||
11.3090 | − | 1.99407i | 1.72460 | − | 0.304093i | 0.778422 | − | 0.627741i | ||
0.946178 | + | 0.323648i | ||||||||
−2.76050 | − | 11.5481i | −0.416161 | − | 1.74095i | |||||
0 | 0 | |||||||||
0.514774 | − | 0.259151i | 0.0758992 | − | 0.0382098i | |||||
2.45354 | − | 2.92401i | 0.357886 | − | 0.426511i | −0.556819 | − | 0.830634i | ||
0.914705 | + | 0.404122i | ||||||||
0 | 0 | |||||||||
−0.0541088 | − | 0.0937192i | −0.00772983 | − | 0.0133885i | |||||
−3.19695 | + | 4.87096i | −0.452117 | + | 0.688857i | |||||
0 | 0 | |||||||||
−8.14155 | + | 0.489954i | −1.12903 | + | 0.0679444i | |||||
4.84195 | + | 0.853766i | 0.665092 | + | 0.117274i | 0.495995 | − | 0.868326i | ||
0.169098 | + | 0.985599i | ||||||||
0 | 0 | |||||||||
−3.58005 | − | 4.26653i | −0.482733 | − | 0.575299i | |||||
−1.26821 | + | 7.31614i | −0.169472 | + | 0.977660i | |||||
0 | 0 | |||||||||
−0.522897 | + | 9.12951i | −0.0686597 | + | 1.19876i | |||||
−1.21047 | + | 1.01570i | −0.157589 | + | 0.132233i | −0.718173 | − | 0.695865i | ||
0.560584 | + | 0.828098i | ||||||||
0 | 0 | |||||||||
1.11276 | − | 6.31077i | 0.142474 | − | 0.808012i | −0.826886 | − | 0.562369i | ||
0.969360 | − | 0.245643i | ||||||||
−1.21305 | − | 10.2922i | −0.154058 | − | 1.30711i | |||||
0 | 0 | |||||||||
−6.09849 | + | 5.17769i | −0.762311 | + | 0.647211i | |||||
−3.31333 | + | 1.91295i | −0.410969 | + | 0.237273i | |||||
0 | 0 | |||||||||
2.22499 | + | 1.86699i | 0.271826 | + | 0.228089i | 0.768503 | − | 0.639846i | ||
−0.496677 | + | 0.867936i | ||||||||
3.05443 | + | 7.04358i | 0.370405 | + | 0.854159i | |||||
0 | 0 | |||||||||
1.00215 | + | 3.33571i | 0.119780 | + | 0.398694i | |||||
1.17754 | + | 6.67818i | 0.139749 | + | 0.792555i | 0.971434 | + | 0.237308i | ||
−0.831686 | + | 0.555247i | ||||||||
0 | 0 | |||||||||
11.1504 | + | 4.05843i | 1.30506 | + | 0.475003i | 0.898642 | − | 0.438684i | ||
0.406419 | + | 0.913687i | ||||||||
2.12725 | + | 2.85164i | 0.247288 | + | 0.331497i | |||||
0 | 0 | |||||||||
−3.65701 | + | 7.91368i | −0.419488 | + | 0.907761i | |||||
15.5853 | 1.77611 | |||||||||
0 | 0 | |||||||||
4.29071 | + | 1.56169i | 0.482742 | + | 0.175704i | 0.571916 | − | 0.820312i | ||
−0.0891737 | + | 0.996016i | ||||||||
−1.47302 | + | 3.45141i | −0.164689 | + | 0.385879i | |||||
0 | 0 | |||||||||
1.87629 | + | 6.24532i | 0.207202 | + | 0.689680i | |||||
0.641515 | + | 0.370379i | 0.0704154 | + | 0.0406543i | 0.534794 | − | 0.844982i | ||
−0.464379 | + | 0.885637i | ||||||||
0 | 0 | |||||||||
2.75872 | + | 2.31484i | 0.299225 | + | 0.251080i | |||||
−11.1332 | + | 11.8233i | −1.20052 | + | 1.27494i | |||||
0 | 0 | |||||||||
12.8943 | + | 10.7562i | 1.37454 | + | 1.14661i | |||||
−5.87516 | − | 16.1419i | −0.622766 | − | 1.71103i | −0.700114 | − | 0.714031i | ||
0.0773486 | − | 0.997004i | ||||||||
0 | 0 | |||||||||
1.85908 | − | 10.5434i | 0.194885 | − | 1.10525i | |||||
−0.364387 | + | 0.729058i | −0.0379899 | + | 0.0760095i | |||||
0 | 0 | |||||||||
−0.308673 | + | 5.38926i | −0.0318371 | + | 0.555860i | |||||
0.125156 | + | 4.08739i | 0.0128407 | + | 0.419357i | |||||
0 | 0 | |||||||||
2.43876 | + | 2.90640i | 0.247618 | + | 0.295100i | 0.875509 | − | 0.483201i | ||
−0.627891 | + | 0.778301i | ||||||||
0.140585 | + | 0.0604816i | 0.0142012 | + | 0.00610956i | |||||
0 | 0 | |||||||||
−0.494968 | − | 8.22487i | −0.0494968 | − | 0.822487i | |||||
−9.11983 | + | 3.31935i | −0.907457 | + | 0.330287i | −0.753237 | − | 0.657749i | ||
−0.154220 | + | 0.988037i | ||||||||
0 | 0 | |||||||||
−7.76969 | − | 13.4575i | −0.765570 | − | 1.32601i | −0.939945 | − | 0.341327i | ||
0.174374 | − | 0.984679i | ||||||||
8.81461 | − | 7.43992i | 0.864344 | − | 0.729544i | |||||
0 | 0 | |||||||||
−6.21058 | + | 3.12657i | −0.603224 | + | 0.303680i | |||||
−8.60129 | + | 14.8979i | −0.831518 | + | 1.44023i | 0.0653163 | + | 0.997865i | ||
−0.896834 | + | 0.442367i | ||||||||
0 | 0 | |||||||||
−3.11205 | + | 0.548739i | −0.298081 | + | 0.0525597i | −0.320688 | − | 0.947185i | ||
0.0226078 | + | 0.999744i | ||||||||
7.66599 | + | 1.80906i | 0.730923 | + | 0.172487i | |||||
0 | 0 | |||||||||
−4.74896 | − | 9.36568i | −0.448735 | − | 0.884973i | |||||
19.3153i | 1.81703i | 0.417850 | + | 0.908516i | ||||||
−0.417850 | + | 0.908516i | ||||||||
0 | 0 | |||||||||
0.382319i | 0.0356514i | |||||||||
−7.12721 | − | 10.7910i | −0.661745 | − | 1.00192i | |||||
0 | 0 | |||||||||
0.513253 | − | 2.17493i | 0.0472487 | − | 0.200219i | |||||
−9.92426 | + | 1.74991i | −0.909755 | + | 0.160414i | |||||
0 | 0 | |||||||||
12.1225 | − | 20.9968i | 1.10204 | − | 1.90880i | |||||
4.07504 | + | 8.09458i | 0.368936 | + | 0.732849i | |||||
0 | 0 | |||||||||
10.0782 | + | 10.6411i | 0.905049 | + | 0.955595i | |||||
−4.27791 | − | 7.40955i | −0.382628 | − | 0.662731i | |||||
0 | 0 | |||||||||
−13.9783 | + | 5.08769i | −1.24037 | + | 0.451459i | −0.877138 | − | 0.480238i | ||
−0.363236 | + | 0.931697i | ||||||||
2.53472 | − | 11.0261i | 0.224040 | − | 0.974580i | |||||
0 | 0 | |||||||||
2.13826 | − | 4.97021i | 0.187537 | − | 0.435917i | |||||
−2.07131 | − | 2.46849i | −0.180971 | − | 0.215673i | 0.667931 | − | 0.744223i | ||
−0.848902 | + | 0.528551i | ||||||||
0 | 0 | |||||||||
−8.98691 | − | 7.08373i | −0.779264 | − | 0.614237i | |||||
−4.10089 | − | 0.234881i | −0.354263 | − | 0.0202906i | |||||
0 | 0 | |||||||||
−9.41845 | − | 5.40146i | −0.807626 | − | 0.463172i | |||||
−1.36502 | + | 7.74139i | −0.116621 | + | 0.661391i | 0.869314 | + | 0.494261i | ||
−0.985935 | + | 0.167130i | ||||||||
0 | 0 | |||||||||
0.00238476 | + | 0.00655208i | 0.000202273 | + | 0.000555740i | 0.939794 | − | 0.341742i | ||
−0.939591 | + | 0.342298i | ||||||||
−3.95669 | − | 2.93380i | −0.334401 | − | 0.247951i | |||||
0 | 0 | |||||||||
−6.98191 | − | 6.57438i | −0.585909 | − | 0.551709i | |||||
−18.5466 | − | 15.5625i | −1.55095 | − | 1.30140i | |||||
0 | 0 | |||||||||
−5.25348 | − | 3.03310i | −0.436277 | − | 0.251885i | |||||
−16.0715 | + | 4.82839i | −1.33009 | + | 0.399600i | |||||
0 | 0 | |||||||||
−4.82272 | − | 1.43369i | −0.396425 | − | 0.117849i | |||||
10.8510 | + | 3.94945i | 0.888950 | + | 0.323552i | 0.745816 | − | 0.666152i | ||
0.143134 | + | 0.989703i | ||||||||
0 | 0 | |||||||||
3.85210 | 0.313480 | 0.156740 | − | 0.987640i | ||||||
0.156740 | + | 0.987640i | ||||||||
−2.54640 | − | 12.0630i | −0.206540 | − | 0.978438i | |||||
0 | 0 | |||||||||
−17.6668 | + | 13.1790i | −1.42363 | + | 1.06199i | |||||
6.46023 | + | 2.35133i | 0.518898 | + | 0.188863i | |||||
0 | 0 | |||||||||
3.30340 | + | 18.7345i | 0.263640 | + | 1.49518i | 0.772880 | + | 0.634553i | ||
−0.509240 | + | 0.860625i | ||||||||
−6.18433 | + | 1.85797i | −0.491999 | + | 0.147812i | |||||
0 | 0 | |||||||||
−1.24877 | − | 5.15797i | −0.0987237 | − | 0.407773i | |||||
−0.819545 | − | 0.687680i | −0.0645892 | − | 0.0541968i | |||||
0 | 0 | |||||||||
5.72920 | − | 3.30775i | 0.448745 | − | 0.259083i | −0.258555 | − | 0.965997i | ||
0.707300 | + | 0.706913i | ||||||||
−7.40795 | − | 5.49283i | −0.578464 | − | 0.428918i | |||||
0 | 0 | |||||||||
−1.04039 | + | 0.122621i | −0.0807497 | + | 0.00951726i | |||||
0.143711 | − | 0.815026i | 0.0111207 | − | 0.0630686i | −0.978742 | − | 0.205093i | ||
0.989863 | + | 0.142025i | ||||||||
0 | 0 | |||||||||
−2.78168 | + | 2.33410i | −0.213975 | + | 0.179546i | |||||
−5.08460 | − | 0.291223i | −0.389971 | − | 0.0223358i | |||||
0 | 0 | |||||||||
2.62227 | − | 22.8166i | 0.199946 | − | 1.73975i | |||||
−3.66715 | − | 4.37034i | −0.278808 | − | 0.332271i | 0.608408 | − | 0.793624i | ||
−0.887216 | + | 0.461354i | ||||||||
0 | 0 | |||||||||
10.6513 | + | 1.87810i | 0.805160 | + | 0.141971i | |||||
−23.7120 | − | 1.28928i | −1.78736 | − | 0.0971829i | |||||
0 | 0 | |||||||||
20.3095 | + | 13.3297i | 1.52226 | + | 0.999103i | |||||
2.18671 | + | 3.78750i | 0.163442 | + | 0.283091i | 0.936101 | − | 0.351731i | ||
−0.772659 | + | 0.634822i | ||||||||
0 | 0 | |||||||||
−5.17743 | + | 6.17022i | −0.384835 | + | 0.458628i | −0.923334 | − | 0.383998i | ||
0.538499 | + | 0.842626i | ||||||||
6.80813 | + | 13.5236i | 0.504652 | + | 1.00243i | |||||
0 | 0 | |||||||||
−0.203440 | − | 1.13456i | −0.0149978 | − | 0.0836406i | |||||
−2.32421 | + | 0.409821i | −0.170879 | + | 0.0301306i | |||||
0 | 0 | |||||||||
−7.79437 | + | 21.4149i | −0.569981 | + | 1.56601i | |||||
−4.20728 | − | 6.37006i | −0.306848 | − | 0.464584i | |||||
0 | 0 | |||||||||
−3.59818 | − | 4.52746i | −0.261040 | − | 0.328457i | |||||
− | 3.21322i | − | 0.232501i | −0.993220 | − | 0.116250i | ||||
0.993220 | − | 0.116250i | ||||||||
0 | 0 | |||||||||
−2.03628 | + | 5.59463i | −0.146575 | + | 0.402711i | −0.991153 | − | 0.132721i | ||
0.844579 | + | 0.535431i | ||||||||
−5.22213 | − | 1.23235i | −0.374927 | − | 0.0884775i | |||||
0 | 0 | |||||||||
−0.210505 | + | 0.0503197i | −0.0150360 | + | 0.00359426i | |||||
6.98997 | − | 12.1070i | 0.498015 | − | 0.862587i | −0.501982 | − | 0.864878i | ||
0.999997 | + | 0.00229054i | ||||||||
0 | 0 | |||||||||
−6.33587 | + | 7.55079i | −0.449138 | + | 0.535261i | −0.942342 | − | 0.334652i | ||
0.493204 | + | 0.869914i | ||||||||
7.51605 | + | 8.90482i | 0.531465 | + | 0.629666i | |||||
0 | 0 | |||||||||
7.53101 | − | 11.4744i | 0.529880 | − | 0.807339i | |||||
15.9513 | − | 5.80578i | 1.11956 | − | 0.407486i | |||||
0 | 0 | |||||||||
−4.26018 | − | 0.751186i | −0.297544 | − | 0.0524651i | |||||
20.1871 | + | 8.68478i | 1.40650 | + | 0.605097i | |||||
0 | 0 | |||||||||
−3.70066 | + | 15.8872i | −0.256594 | + | 1.10158i | |||||
−24.0348 | + | 9.59078i | −1.66252 | + | 0.663408i | |||||
0 | 0 | |||||||||
−11.1612 | + | 9.36536i | −0.768369 | + | 0.644738i | −0.940291 | − | 0.340373i | ||
0.171922 | + | 0.985111i | ||||||||
4.39621 | − | 8.79584i | 0.301933 | − | 0.604101i | |||||
0 | 0 | |||||||||
−2.84763 | − | 24.1609i | −0.194660 | − | 1.65160i | |||||
−3.68464 | − | 10.1235i | −0.251291 | − | 0.690415i | |||||
0 | 0 | |||||||||
−16.6604 | + | 9.61889i | −1.13098 | + | 0.652973i | |||||
3.06368 | − | 3.25359i | 0.207498 | − | 0.220361i | |||||
0 | 0 | |||||||||
−10.2196 | + | 4.43171i | −0.689005 | + | 0.298786i | |||||
13.5573 | + | 7.82731i | 0.911963 | + | 0.526522i | |||||
0 | 0 | |||||||||
−0.947405 | − | 5.37300i | −0.0634429 | − | 0.359803i | −0.999958 | − | 0.00917516i | ||
0.936515 | − | 0.350628i | ||||||||
13.3029 | + | 6.60080i | 0.888836 | + | 0.441034i | |||||
0 | 0 | |||||||||
−16.3331 | − | 21.8950i | −1.08646 | − | 1.45644i | |||||
−4.73837 | −0.314497 | −0.157248 | − | 0.987559i | ||||||
−0.157248 | + | 0.987559i | ||||||||
0 | 0 | |||||||||
−25.7074 | −1.69879 | −0.849397 | − | 0.527755i | ||||||
−0.849397 | + | 0.527755i | ||||||||
−0.323290 | − | 0.433381i | −0.0213171 | − | 0.0285763i | |||||
0 | 0 | |||||||||
17.2040 | + | 6.20542i | 1.12950 | + | 0.407406i | |||||
−2.50999 | − | 14.2349i | −0.164435 | − | 0.932556i | −0.949645 | − | 0.313327i | ||
0.785210 | − | 0.619229i | ||||||||
0 | 0 | |||||||||
−3.10119 | − | 1.79047i | −0.202300 | − | 0.116798i | |||||
1.25733 | + | 2.89942i | 0.0818451 | + | 0.188736i | |||||
0 | 0 | |||||||||
9.76999 | − | 10.3756i | 0.633294 | − | 0.672551i | |||||
−13.1429 | + | 7.58808i | −0.850146 | + | 0.490832i | −0.860700 | − | 0.509112i | ||
0.0105542 | + | 0.999944i | ||||||||
0 | 0 | |||||||||
−1.91914 | − | 5.27279i | −0.123623 | − | 0.339650i | 0.862408 | − | 0.506214i | ||
−0.986031 | + | 0.166563i | ||||||||
4.01339 | + | 34.0519i | 0.257991 | + | 2.18894i | |||||
0 | 0 | |||||||||
−11.4641 | − | 5.72982i | −0.733914 | − | 0.366814i | |||||
−0.0777723 | + | 0.0652587i | −0.00496869 | + | 0.00416922i | |||||
0 | 0 | |||||||||
3.62114 | + | 17.4035i | 0.230408 | + | 1.10736i | |||||
−20.4223 | − | 3.54010i | −1.29682 | − | 0.224797i | |||||
0 | 0 | |||||||||
11.1148 | + | 4.78175i | 0.702962 | + | 0.302424i | |||||
20.4595 | + | 3.60756i | 1.29139 | + | 0.227707i | 0.776810 | − | 0.629735i | ||
0.514580 | + | 0.857442i | ||||||||
0 | 0 | |||||||||
−2.27346 | + | 0.827472i | −0.142931 | + | 0.0520227i | |||||
11.5431 | − | 17.5873i | 0.724276 | − | 1.10353i | |||||
0 | 0 | |||||||||
6.45047 | + | 14.6421i | 0.403154 | + | 0.915132i | |||||
10.5434 | − | 12.5652i | 0.657681 | − | 0.783793i | −0.329370 | − | 0.944201i | ||
0.987051 | + | 0.160408i | ||||||||
0 | 0 | |||||||||
3.30208 | − | 5.71936i | 0.205181 | − | 0.355384i | |||||
1.77899 | + | 7.44214i | 0.110328 | + | 0.461542i | |||||
0 | 0 | |||||||||
4.43531 | + | 1.04667i | 0.274014 | + | 0.0646635i | |||||
−4.15539 | + | 11.4168i | −0.256232 | + | 0.703992i | 0.743159 | + | 0.669114i | ||
−0.999392 | + | 0.0348776i | ||||||||
0 | 0 | |||||||||
− | 4.61255i | − | 0.283347i | |||||||
16.1772 | + | 0.430457i | 0.991889 | + | 0.0263930i | |||||
0 | 0 | |||||||||
4.84722 | − | 3.20148i | 0.296091 | − | 0.195562i | |||||
−5.91660 | + | 16.2557i | −0.360741 | + | 0.991129i | 0.618027 | + | 0.786157i | ||
−0.978768 | + | 0.204972i | ||||||||
0 | 0 | |||||||||
−6.08103 | + | 1.07225i | −0.369396 | + | 0.0651345i | −0.355265 | − | 0.934766i | ||
−0.0141312 | + | 0.999900i | ||||||||
15.2439 | − | 1.84140i | 0.924295 | − | 0.111652i | |||||
0 | 0 | |||||||||
−4.99882 | − | 9.92957i | −0.301990 | − | 0.599867i | |||||
15.7217 | − | 18.7364i | 0.948055 | − | 1.12985i | |||||
0 | 0 | |||||||||
13.7725 | + | 23.8547i | 0.827511 | + | 1.43329i | 0.899985 | + | 0.435920i | ||
−0.0724748 | + | 0.997370i | ||||||||
−0.00824373 | − | 0.00541060i | −0.000494426 | − | 0.000324506i | |||||
0 | 0 | |||||||||
6.96597 | − | 0.0201599i | 0.416296 | − | 0.00120478i | |||||
−7.27059 | − | 1.28200i | −0.433727 | − | 0.0764778i | −0.0474780 | − | 0.998872i | ||
−0.386249 | + | 0.922394i | ||||||||
0 | 0 | |||||||||
−5.57965 | − | 6.64957i | −0.331676 | − | 0.395276i | 0.574272 | − | 0.818664i | ||
−0.905948 | + | 0.423388i | ||||||||
13.4737 | + | 1.54851i | 0.799518 | + | 0.0918870i | |||||
0 | 0 | |||||||||
34.1833 | + | 1.95787i | 2.02130 | + | 0.115771i | |||||
9.27308 | − | 7.78104i | 0.547373 | − | 0.459300i | |||||
0 | 0 | |||||||||
−0.393247 | + | 2.23021i | −0.0231321 | + | 0.131189i | |||||
8.51992 | − | 1.00417i | 0.500307 | − | 0.0589668i | |||||
0 | 0 | |||||||||
14.1351 | − | 19.0634i | 0.827193 | − | 1.11560i | |||||
−8.59522 | + | 4.96245i | −0.502138 | + | 0.289910i | −0.729596 | − | 0.683878i | ||
0.227458 | + | 0.973788i | ||||||||
0 | 0 | |||||||||
1.13560 | + | 0.952881i | 0.0661171 | + | 0.0554789i | |||||
6.67917 | − | 2.45293i | 0.388219 | − | 0.142574i | |||||
0 | 0 | |||||||||
−15.6399 | + | 4.69873i | −0.905997 | + | 0.272190i | |||||
0.288593 | + | 1.63669i | 0.0166897 | + | 0.0946522i | |||||
0 | 0 | |||||||||
28.3284 | + | 10.3107i | 1.63282 | + | 0.594299i | |||||
−4.36658 | + | 3.25735i | −0.251269 | + | 0.187440i | |||||
0 | 0 | |||||||||
13.0870 | + | 11.5209i | 0.750591 | + | 0.660767i | |||||
−6.01179 | −0.344234 | |||||||||
0 | 0 | |||||||||
23.6159 | + | 8.59549i | 1.34783 | + | 0.490571i | 0.912271 | − | 0.409588i | ||
0.435562 | + | 0.900159i | ||||||||
8.88218 | − | 29.8782i | 0.506109 | − | 1.70247i | |||||
0 | 0 | |||||||||
−9.31134 | + | 2.79742i | −0.528848 | + | 0.158883i | |||||
−17.9579 | − | 10.3680i | −1.01830 | − | 0.587916i | −0.104689 | − | 0.994505i | ||
−0.913611 | + | 0.406589i | ||||||||
0 | 0 | |||||||||
13.2291 | + | 11.1005i | 0.747752 | + | 0.627439i | 0.934907 | − | 0.354892i | ||
−0.187155 | + | 0.982330i | ||||||||
−19.5866 | − | 18.4433i | −1.10533 | − | 1.04082i | |||||
0 | 0 | |||||||||
5.43920 | − | 7.33561i | 0.305979 | − | 0.412661i | |||||
1.69445 | + | 4.65547i | 0.0951699 | + | 0.261477i | 0.978138 | − | 0.207955i | ||
−0.882968 | + | 0.469432i | ||||||||
0 | 0 | |||||||||
6.66595 | − | 37.8045i | 0.373222 | − | 2.11665i | |||||
5.77715 | + | 4.79089i | 0.322952 | + | 0.267819i | |||||
0 | 0 | |||||||||
1.51051 | + | 0.0865150i | 0.0841772 | + | 0.00482129i | |||||
14.2278 | − | 8.80576i | 0.791657 | − | 0.489966i | |||||
0 | 0 | |||||||||
−10.7997 | − | 12.8706i | −0.599062 | − | 0.713934i | |||||
−3.69733 | + | 8.59416i | −0.204776 | + | 0.475987i | |||||
0 | 0 | |||||||||
13.0421 | − | 0.0377445i | 0.720130 | − | 0.00208409i | |||||
9.41623 | − | 3.42723i | 0.519134 | − | 0.188949i | |||||
0 | 0 | |||||||||
6.79791 | + | 11.7743i | 0.373647 | + | 0.647175i | 0.990123 | − | 0.140198i | ||
−0.616477 | + | 0.787373i | ||||||||
1.07565 | − | 1.01875i | 0.0590340 | − | 0.0559114i | |||||
0 | 0 | |||||||||
0.526284 | + | 1.04540i | 0.0287970 | + | 0.0572019i | |||||
1.36244 | − | 2.35981i | 0.0744380 | − | 0.128930i | |||||
0 | 0 | |||||||||
−7.24750 | + | 1.27793i | −0.394797 | + | 0.0696133i | −0.367522 | − | 0.930015i | ||
−0.0272743 | + | 0.999628i | ||||||||
1.17947 | − | 4.99804i | 0.0641545 | − | 0.271857i | |||||
0 | 0 | |||||||||
6.00995 | − | 3.96944i | 0.325936 | − | 0.215273i | |||||
43.5049i | 2.35592i | |||||||||
0 | 0 | |||||||||
− | 18.6606i | − | 1.00758i | |||||||
16.3213 | + | 28.0814i | 0.879988 | + | 1.51405i | |||||
0 | 0 | |||||||||
7.85250 | + | 1.85308i | 0.422153 | + | 0.0996221i | |||||
−7.29437 | + | 1.28619i | −0.391582 | + | 0.0690465i | −0.365973 | − | 0.930625i | ||
−0.0256094 | + | 0.999672i | ||||||||
0 | 0 | |||||||||
−10.0951 | + | 17.4851i | −0.540376 | + | 0.935958i | 0.458507 | + | 0.888691i | ||
−0.998882 | + | 0.0472671i | ||||||||
−13.6620 | + | 6.87781i | −0.730262 | + | 0.367634i | |||||
0 | 0 | |||||||||
27.9691 | − | 18.5895i | 1.49076 | − | 0.990821i | |||||
10.6908 | + | 18.5171i | 0.569016 | + | 0.985564i | 0.996664 | + | 0.0816189i | ||
−0.427648 | + | 0.903945i | ||||||||
0 | 0 | |||||||||
5.97813 | − | 2.17586i | 0.317286 | − | 0.115483i | |||||
−34.2936 | + | 2.06377i | −1.81756 | + | 0.109380i | |||||
0 | 0 | |||||||||
−5.68148 | − | 2.44426i | −0.300276 | − | 0.129183i | |||||
13.3436 | + | 15.9023i | 0.704248 | + | 0.839290i | 0.993000 | − | 0.118114i | ||
−0.288752 | + | 0.957404i | ||||||||
0 | 0 | |||||||||
18.2183 | + | 5.39384i | 0.958858 | + | 0.283887i | |||||
0.651357 | − | 11.3723i | 0.0342345 | − | 0.597717i | |||||
0 | 0 | |||||||||
−19.1530 | − | 9.57277i | −1.00389 | − | 0.501749i | |||||
1.93308 | − | 10.9630i | 0.101182 | − | 0.573831i | |||||
0 | 0 | |||||||||
3.99066 | + | 10.9643i | 0.208311 | + | 0.572330i | 0.999215 | − | 0.0396103i | ||
−0.790904 | + | 0.611940i | ||||||||
1.19000 | + | 1.11406i | 0.0620328 | + | 0.0580742i | |||||
0 | 0 | |||||||||
2.28808 | − | 2.42992i | 0.118952 | − | 0.126325i | |||||
9.88754 | + | 8.29663i | 0.513336 | + | 0.430740i | |||||
0 | 0 | |||||||||
−22.7922 | − | 13.1591i | −1.18013 | − | 0.681351i | −0.224089 | − | 0.974569i | ||
−0.956046 | + | 0.293218i | ||||||||
−9.27311 | − | 30.8659i | −0.479501 | − | 1.59604i | |||||
0 | 0 | |||||||||
10.1557 | + | 3.66314i | 0.523743 | + | 0.188912i | |||||
−24.7794 | − | 9.01898i | −1.27621 | − | 0.464501i | |||||
0 | 0 | |||||||||
−15.1616 | −0.778798 | −0.389399 | − | 0.921069i | ||||||
−0.389399 | + | 0.921069i | ||||||||
7.90719 | + | 2.08950i | 0.405630 | + | 0.107189i | |||||
0 | 0 | |||||||||
2.71711 | + | 3.64238i | 0.139020 | + | 0.186360i | |||||
29.2153 | + | 10.6335i | 1.49283 | + | 0.543346i | 0.954193 | − | 0.299193i | ||
0.538637 | + | 0.842538i | ||||||||
0 | 0 | |||||||||
−2.53897 | − | 14.3992i | −0.129398 | − | 0.733851i | |||||
−2.42260 | − | 8.06373i | −0.123307 | − | 0.410433i | |||||
0 | 0 | |||||||||
6.96167 | − | 3.01892i | 0.353425 | − | 0.153262i | |||||
−26.2800 | − | 22.0515i | −1.33245 | − | 1.11806i | −0.983499 | − | 0.180913i | ||
−0.348947 | − | 0.937142i | ||||||||
0 | 0 | |||||||||
1.35477 | − | 0.782175i | 0.0685135 | − | 0.0395563i | |||||
0.196069 | − | 0.235044i | 0.00990297 | − | 0.0118715i | |||||
0 | 0 | |||||||||
2.31417 | + | 19.6347i | 0.116586 | + | 0.989183i | |||||
0.743851 | − | 4.21859i | 0.0374272 | − | 0.212260i | |||||
0 | 0 | |||||||||
−6.93811 | + | 5.82177i | −0.348214 | + | 0.292186i | −0.800072 | − | 0.599904i | ||
0.451859 | + | 0.892090i | ||||||||
0.797097 | − | 13.9169i | 0.0399548 | − | 0.697591i | |||||
0 | 0 | |||||||||
−16.0498 | − | 3.73853i | −0.802492 | − | 0.186926i | |||||
5.10512 | + | 6.08405i | 0.254938 | + | 0.303823i | 0.878300 | − | 0.478110i | ||
−0.623362 | + | 0.781933i | ||||||||
0 | 0 | |||||||||
29.4309 | + | 5.18945i | 1.46606 | + | 0.258505i | |||||
1.16599 | + | 19.3752i | 0.0580101 | + | 0.963952i | |||||
0 | 0 | |||||||||
−13.1723 | + | 20.0696i | −0.653730 | + | 0.996040i | |||||
−7.46741 | − | 12.9339i | −0.370146 | − | 0.641111i | |||||
0 | 0 | |||||||||
−17.5748 | + | 20.9449i | −0.869020 | + | 1.03566i | 0.130005 | + | 0.991513i | ||
−0.999025 | + | 0.0441446i | ||||||||
5.46437 | − | 2.75092i | 0.269866 | − | 0.135858i | |||||
0 | 0 | |||||||||
−30.2271 | + | 7.22559i | −1.48918 | + | 0.355979i | |||||
−4.08522 | + | 0.720335i | −0.201021 | + | 0.0354454i | |||||
0 | 0 | |||||||||
0.237684 | − | 0.653032i | 0.0116675 | − | 0.0320561i | |||||
−9.23940 | − | 21.1384i | −0.452999 | − | 1.03640i | |||||
0 | 0 | |||||||||
19.1348 | − | 31.1956i | 0.935916 | − | 1.52583i | |||||
13.4784i | 0.658462i | 0.944249 | + | 0.329231i | ||||||
−0.944249 | + | 0.329231i | ||||||||
0 | 0 | |||||||||
13.2512 | − | 36.4074i | 0.645825 | − | 1.77439i | 0.0132242 | − | 0.999913i | ||
0.632601 | − | 0.774478i | ||||||||
4.73249 | − | 20.0541i | 0.230374 | − | 0.976220i | |||||
0 | 0 | |||||||||
2.45444 | + | 13.6880i | 0.119198 | + | 0.664750i | |||||
−7.90742 | + | 13.6960i | −0.383566 | + | 0.664356i | |||||
0 | 0 | |||||||||
10.8135 | − | 12.8870i | 0.523300 | − | 0.623644i | |||||
23.6585 | + | 24.9798i | 1.14358 | + | 1.20744i | |||||
0 | 0 | |||||||||
12.7372 | + | 8.35980i | 0.614243 | + | 0.403145i | |||||
−37.1856 | + | 13.5345i | −1.79117 | + | 0.651932i | −0.792029 | + | 0.610484i | ||
−0.999141 | + | 0.0414488i | ||||||||
0 | 0 | |||||||||
35.8179 | + | 6.31566i | 1.72130 | + | 0.303511i | 0.945052 | − | 0.326919i | ||
0.776246 | + | 0.630431i | ||||||||
10.7518 | − | 24.9917i | 0.516102 | − | 1.19964i | |||||
0 | 0 | |||||||||
−0.721609 | + | 6.27879i | −0.0345588 | + | 0.300700i | |||||
1.68704 | + | 0.556177i | 0.0807021 | + | 0.0266055i | |||||
0 | 0 | |||||||||
−8.70974 | + | 7.30834i | −0.415693 | + | 0.348808i | −0.826522 | − | 0.562905i | ||
0.410829 | + | 0.911713i | ||||||||
7.83704 | − | 13.6653i | 0.373616 | − | 0.651469i | |||||
0 | 0 | |||||||||
−21.9868 | + | 2.59139i | −1.04581 | + | 0.123260i | |||||
7.73933 | + | 21.2636i | 0.367707 | + | 1.01027i | 0.976231 | + | 0.216731i | ||
−0.608525 | + | 0.793535i | ||||||||
0 | 0 | |||||||||
−13.9563 | + | 8.05769i | −0.661594 | + | 0.381971i | |||||
5.61737 | + | 5.28948i | 0.265990 | + | 0.250464i | |||||
0 | 0 | |||||||||
−20.6612 | + | 3.76657i | −0.976152 | + | 0.177954i | |||||
26.6431 | + | 15.3824i | 1.25737 | + | 0.725941i | 0.972562 | − | 0.232644i | ||
0.284805 | + | 0.958585i | ||||||||
0 | 0 | |||||||||
−4.75361 | − | 26.9590i | −0.223839 | − | 1.26945i | |||||
37.0291 | + | 11.0080i | 1.74170 | + | 0.517771i | |||||
0 | 0 | |||||||||
5.37122 | − | 4.00679i | 0.252084 | − | 0.188048i | |||||
−10.0439 | −0.470863 | |||||||||
0 | 0 | |||||||||
−24.2691 | −1.13526 | −0.567631 | − | 0.823283i | ||||||
−0.567631 | + | 0.823283i | ||||||||
29.1409 | − | 21.7383i | 1.36166 | − | 1.01576i | |||||
0 | 0 | |||||||||
0.732936 | + | 0.217887i | 0.0341733 | + | 0.0101590i | |||||
−6.43606 | − | 36.5007i | −0.299757 | − | 1.70001i | −0.647212 | − | 0.762310i | ||
0.347455 | − | 0.937697i | ||||||||
0 | 0 | |||||||||
−18.1684 | − | 10.4895i | −0.844355 | − | 0.487489i | 0.0143872 | − | 0.999896i | ||
−0.858742 | + | 0.512408i | ||||||||
−24.7491 | + | 7.51357i | −1.14895 | + | 0.348809i | |||||
0 | 0 | |||||||||
14.8823 | + | 14.0136i | 0.689408 | + | 0.649167i | |||||
34.2174 | − | 19.7554i | 1.58339 | − | 0.914172i | 0.589032 | − | 0.808110i | ||
0.994360 | − | 0.106062i | ||||||||
0 | 0 | |||||||||
2.60791 | + | 7.16517i | 0.120422 | + | 0.330857i | |||||
5.02942 | − | 0.592773i | 0.231990 | − | 0.0273426i | |||||
0 | 0 | |||||||||
−3.87701 | − | 2.22346i | −0.178454 | − | 0.102343i | |||||
52.2244 | − | 43.8215i | 2.40128 | − | 2.01491i | |||||
0 | 0 | |||||||||
−17.5816 | + | 3.65820i | −0.806697 | + | 0.167850i | |||||
−2.30119 | + | 20.0229i | −0.105475 | + | 0.917748i | |||||
0 | 0 | |||||||||
8.48178 | − | 19.7152i | 0.387947 | − | 0.901754i | |||||
−12.6442 | − | 2.22951i | −0.577728 | − | 0.101869i | −0.122854 | − | 0.992425i | ||
−0.454874 | + | 0.890556i | ||||||||
0 | 0 | |||||||||
−9.64049 | + | 3.50885i | −0.439569 | + | 0.159990i | |||||
6.63415 | + | 4.35419i | 0.302177 | + | 0.198328i | |||||
0 | 0 | |||||||||
−33.3438 | − | 35.2060i | −1.51563 | − | 1.60027i | |||||
2.28792 | − | 2.72664i | 0.103889 | − | 0.123810i | |||||
0 | 0 | |||||||||
−16.9204 | + | 29.3070i | −0.766736 | + | 1.32803i | 0.172587 | + | 0.984994i | ||
−0.939324 | + | 0.343032i | ||||||||
17.8404 | − | 3.19900i | 0.807596 | − | 0.144812i | |||||
0 | 0 | |||||||||
0.0329764 | − | 0.139739i | 0.00148972 | − | 0.00631277i | |||||
−11.0221 | + | 30.2830i | −0.497420 | + | 1.36665i | 0.396339 | + | 0.918104i | ||
−0.893759 | + | 0.448547i | ||||||||
0 | 0 | |||||||||
24.8213i | 1.11789i | |||||||||
−18.8212 | − | 16.6658i | −0.846806 | − | 0.749829i | |||||
0 | 0 | |||||||||
26.1434 | − | 13.2563i | 1.17387 | − | 0.595225i | |||||
−6.08870 | + | 16.7286i | −0.273115 | + | 0.750378i | |||||
0 | 0 | |||||||||
13.9952 | − | 2.46774i | 0.626513 | − | 0.110471i | 0.148627 | − | 0.988893i | ||
0.477885 | + | 0.878422i | ||||||||
−16.6427 | + | 3.97833i | −0.744286 | + | 0.177916i | |||||
0 | 0 | |||||||||
−26.2426 | + | 13.2112i | −1.17126 | + | 0.589646i | |||||
−9.64008 | + | 11.4886i | −0.429830 | + | 0.512251i | −0.936873 | − | 0.349669i | ||
0.507043 | + | 0.861921i | ||||||||
0 | 0 | |||||||||
4.55243 | + | 7.88505i | 0.202581 | + | 0.350880i | |||||
1.87739 | − | 2.86043i | 0.0834600 | − | 0.127162i | |||||
0 | 0 | |||||||||
1.78716 | + | 29.6971i | 0.0792922 | + | 1.31760i | |||||
17.9890 | + | 3.17194i | 0.797348 | + | 0.140594i | 0.557457 | − | 0.830206i | ||
0.239891 | + | 0.970800i | ||||||||
0 | 0 | |||||||||
20.0235 | + | 23.8631i | 0.885786 | + | 1.05564i | |||||
−19.6934 | − | 11.1432i | −0.870334 | − | 0.492462i | |||||
0 | 0 | |||||||||
−1.32644 | + | 23.1589i | −0.0585066 | + | 1.02150i | |||||
−11.1676 | + | 9.37074i | −0.492104 | + | 0.412924i | |||||
0 | 0 | |||||||||
3.93500 | − | 22.3165i | 0.173061 | − | 0.981478i | |||||
1.09322 | + | 9.27548i | 0.0480333 | + | 0.407541i | |||||
0 | 0 | |||||||||
−8.30970 | − | 6.93178i | −0.364404 | − | 0.303979i | |||||
5.73358 | − | 3.31029i | 0.251193 | − | 0.145026i | −0.369117 | − | 0.929383i | ||
0.620310 | + | 0.784356i | ||||||||
0 | 0 | |||||||||
−4.96107 | − | 4.16283i | −0.216932 | − | 0.182028i | 0.527845 | − | 0.849341i | ||
−0.744778 | + | 0.667313i | ||||||||
−5.91275 | + | 2.56405i | −0.258300 | + | 0.112011i | |||||
0 | 0 | |||||||||
−4.94374 | − | 16.4555i | −0.215557 | − | 0.717492i | |||||
−4.88473 | − | 27.7027i | −0.212782 | − | 1.20675i | |||||
0 | 0 | |||||||||
−21.4569 | − | 7.80966i | −0.932907 | − | 0.339551i | |||||
3.90039 | + | 5.22859i | 0.169422 | + | 0.227116i | |||||
0 | 0 | |||||||||
−18.7018 | + | 13.1916i | −0.810827 | + | 0.571927i | |||||
−18.8047 | −0.814522 | |||||||||
0 | 0 | |||||||||
15.1653 | + | 5.51973i | 0.655654 | + | 0.238639i | |||||
−2.78742 | + | 7.72789i | −0.120398 | + | 0.333794i | |||||
0 | 0 | |||||||||
−7.03909 | − | 23.4299i | −0.303477 | − | 1.01013i | |||||
−0.556387 | − | 0.321230i | −0.0239653 | − | 0.0138364i | |||||
0 | 0 | |||||||||
−28.8161 | − | 24.1796i | −1.23890 | − | 1.03956i | −0.997609 | − | 0.0691090i | ||
−0.241292 | − | 0.970453i | ||||||||
5.98650 | − | 6.35760i | 0.257142 | − | 0.273082i | |||||
0 | 0 | |||||||||
−15.7227 | + | 14.9776i | −0.674106 | + | 0.642160i | |||||
1.01396 | + | 2.78583i | 0.0434332 | + | 0.119332i | |||||
0 | 0 | |||||||||
1.80391 | − | 10.2305i | 0.0771298 | − | 0.437425i | −0.921649 | − | 0.388024i | ||
0.998779 | − | 0.0494007i | ||||||||
14.0629 | + | 7.02873i | 0.600739 | + | 0.300252i | |||||
0 | 0 | |||||||||
−1.97790 | + | 34.5332i | −0.0843380 | + | 1.47250i | |||||
−21.0265 | + | 18.7694i | −0.895758 | + | 0.799603i | |||||
0 | 0 | |||||||||
7.70506 | + | 9.18254i | 0.327653 | + | 0.390481i | |||||
−35.7836 | − | 15.3946i | −1.52030 | − | 0.654054i | |||||
0 | 0 | |||||||||
0.0139200 | 0.000837696i | 0.000590338 | 3.55262e-5i | |||||||
−32.8112 | + | 11.9423i | −1.39026 | + | 0.506012i | −0.925271 | − | 0.379306i | ||
−0.464985 | + | 0.885318i | ||||||||
0 | 0 | |||||||||
−23.4155 | − | 40.5568i | −0.990370 | − | 1.71537i | |||||
−7.87928 | + | 5.91330i | −0.332961 | + | 0.249883i | |||||
0 | 0 | |||||||||
9.32571 | − | 4.69482i | 0.393381 | − | 0.198039i | |||||
10.3868 | − | 17.9905i | 0.437753 | − | 0.758210i | −0.559763 | − | 0.828653i | ||
0.997516 | + | 0.0704427i | ||||||||
0 | 0 | |||||||||
17.8454 | − | 3.14662i | 0.750761 | − | 0.132379i | |||||
11.9478 | + | 2.81950i | 0.502202 | + | 0.118513i | |||||
0 | 0 | |||||||||
−16.5827 | + | 9.63811i | −0.695793 | + | 0.404406i | |||||
0.315660i | 0.0132332i | 0.999978 | + | 0.00661658i | ||||||
−0.999978 | + | 0.00661658i | ||||||||
0 | 0 | |||||||||
21.2742i | 0.890299i | 0.895456 | + | 0.445150i | ||||||
−0.895456 | + | 0.445150i | ||||||||
−40.4044 | + | 26.6862i | −1.68939 | + | 1.11581i | |||||
0 | 0 | |||||||||
−3.93190 | + | 16.6616i | −0.164114 | + | 0.695442i | |||||
−1.65344 | + | 0.291546i | −0.0689532 | + | 0.0121583i | |||||
0 | 0 | |||||||||
11.4507 | − | 19.8332i | 0.476699 | − | 0.825667i | −0.522944 | − | 0.852367i | ||
0.999643 | + | 0.0266997i | ||||||||
−1.44011 | − | 2.86061i | −0.0599006 | − | 0.118986i | |||||
0 | 0 | |||||||||
−8.80869 | + | 8.34276i | −0.365761 | + | 0.346414i | |||||
0.972325 | + | 1.68412i | 0.0403389 | + | 0.0698689i | |||||
0 | 0 | |||||||||
27.4286 | − | 9.98318i | 1.13597 | − | 0.413461i | |||||
0.0971304 | + | 33.5621i | 0.00401929 | + | 1.38881i | |||||
0 | 0 | |||||||||
5.54692 | − | 12.8934i | 0.229141 | − | 0.532621i | |||||
−9.56479 | − | 11.3989i | −0.394781 | − | 0.470482i | 0.531640 | − | 0.846970i | ||
−0.926421 | + | 0.376488i | ||||||||
0 | 0 | |||||||||
19.7736 | − | 25.0862i | 0.814757 | − | 1.03366i | |||||
−2.09303 | − | 0.119879i | −0.0861686 | − | 0.00493535i | |||||
0 | 0 | |||||||||
−5.49702 | + | 8.42847i | −0.225926 | + | 0.346408i | |||||
0.999120 | − | 5.66629i | 0.0410289 | − | 0.232687i | −0.957397 | − | 0.288776i | ||
0.998426 | + | 0.0560888i | ||||||||
0 | 0 | |||||||||
3.23348 | + | 8.88393i | 0.132560 | + | 0.364205i | |||||
13.7555 | − | 18.5515i | 0.563448 | − | 0.759898i | |||||
0 | 0 | |||||||||
−1.71113 | − | 1.61125i | −0.0699732 | − | 0.0658889i | |||||
12.8004 | + | 10.7408i | 0.523008 | + | 0.438856i | 0.865679 | − | 0.500599i | ||
−0.342671 | + | 0.939456i | ||||||||
0 | 0 | |||||||||
−2.32187 | − | 1.34053i | −0.0947110 | − | 0.0546814i | 0.451896 | − | 0.892070i | ||
−0.546607 | + | 0.837389i | ||||||||
−40.8307 | + | 12.2668i | −1.66414 | + | 0.499959i | |||||
0 | 0 | |||||||||
2.19535 | − | 7.38480i | 0.0893274 | − | 0.300483i | |||||
−21.3737 | − | 7.77940i | −0.868965 | − | 0.316277i | |||||
0 | 0 | |||||||||
−35.3587 | −1.43517 | −0.717583 | − | 0.696473i | ||||||
−0.717583 | + | 0.696473i | ||||||||
−24.5770 | − | 1.99316i | −0.996728 | − | 0.0808332i | |||||
0 | 0 | |||||||||
6.81471 | − | 5.08359i | 0.275920 | − | 0.205829i | |||||
−14.6276 | − | 5.32402i | −0.591770 | − | 0.215387i | |||||
0 | 0 | |||||||||
−4.31337 | − | 24.4623i | −0.174215 | − | 0.988024i | −0.939046 | − | 0.343792i | ||
0.764831 | − | 0.644232i | ||||||||
−34.0384 | + | 10.2262i | −1.37368 | + | 0.412697i | |||||
0 | 0 | |||||||||
15.1967 | + | 41.3795i | 0.612292 | + | 1.66723i | |||||
2.84603 | + | 2.38810i | 0.114577 | + | 0.0961415i | 0.698276 | − | 0.715829i | ||
−0.583699 | + | 0.811970i | ||||||||
0 | 0 | |||||||||
30.3051 | − | 17.4967i | 1.21807 | − | 0.703250i | 0.253562 | − | 0.967319i | ||
0.964504 | + | 0.264069i | ||||||||
8.18943 | − | 11.0447i | 0.328896 | − | 0.443568i | |||||
0 | 0 | |||||||||
29.1236 | − | 3.43254i | 1.16775 | − | 0.137632i | |||||
7.83076 | − | 44.4105i | 0.313733 | − | 1.77927i | |||||
0 | 0 | |||||||||
9.63126 | − | 8.08159i | 0.385251 | − | 0.323264i | |||||
−24.3826 | − | 1.39652i | −0.974524 | − | 0.0558163i | |||||
0 | 0 | |||||||||
37.7983 | + | 4.34408i | 1.50831 | + | 0.173347i | |||||
6.20725 | + | 7.39752i | 0.247499 | + | 0.294958i | |||||
0 | 0 | |||||||||
−32.6231 | − | 5.75233i | −1.29871 | − | 0.228997i | −0.518801 | − | 0.854895i | ||
−0.779904 | + | 0.625899i | ||||||||
0.0373759 | + | 12.9148i | 0.00148673 | + | 0.513721i | |||||
0 | 0 | |||||||||
−5.85744 | − | 3.84441i | −0.232629 | − | 0.152681i | |||||
6.97769 | + | 12.0857i | 0.276901 | + | 0.479607i | |||||
0 | 0 | |||||||||
−0.283679 | + | 0.338076i | −0.0112398 | + | 0.0133951i | |||||
24.4114 | + | 48.4904i | 0.966456 | + | 1.91975i | |||||
0 | 0 | |||||||||
−10.5999 | − | 0.545581i | −0.418999 | − | 0.0215660i | |||||
−11.5354 | + | 2.03399i | −0.455619 | + | 0.0803379i | −0.396748 | − | 0.917928i | ||
−0.0588712 | + | 0.998266i | ||||||||
0 | 0 | |||||||||
−14.1267 | + | 38.8127i | −0.557101 | + | 1.53062i | 0.266720 | + | 0.963774i | ||
−0.823822 | + | 0.566849i | ||||||||
−1.78540 | + | 1.17922i | −0.0703548 | + | 0.0464678i | |||||
0 | 0 | |||||||||
−8.68188 | + | 22.0129i | −0.341584 | + | 0.866088i | |||||
− | 15.5407i | − | 0.610967i | −0.952197 | − | 0.305484i | ||||
0.952197 | − | 0.305484i | ||||||||
0 | 0 | |||||||||
−3.20848 | + | 8.81521i | −0.125944 | + | 0.346027i | |||||
23.1256 | + | 5.45731i | 0.907060 | + | 0.214053i | |||||
0 | 0 | |||||||||
−3.07612 | − | 12.8685i | −0.120470 | − | 0.503968i | |||||
9.90157 | − | 17.1500i | 0.387478 | − | 0.671132i | −0.604631 | − | 0.796506i | ||
0.992110 | + | 0.125373i | ||||||||
0 | 0 | |||||||||
−1.94320 | + | 2.31581i | −0.0759270 | + | 0.0904863i | |||||
−14.7521 | + | 11.0712i | −0.575971 | + | 0.432259i | |||||
0 | 0 | |||||||||
−7.77577 | + | 11.8474i | −0.303131 | + | 0.461858i | |||||
20.5503 | − | 7.47970i | 0.800526 | − | 0.291368i | 0.0908217 | − | 0.995867i | ||
0.709705 | + | 0.704499i | ||||||||
0 | 0 | |||||||||
39.3132 | + | 6.93199i | 1.52911 | + | 0.269623i | 0.874005 | − | 0.485917i | ||
0.655103 | + | 0.755540i | ||||||||
−17.6622 | − | 7.59854i | −0.686462 | − | 0.295326i | |||||
0 | 0 | |||||||||
−0.357851 | + | 2.06439i | −0.0138873 | + | 0.0801139i | |||||
−5.08061 | + | 9.45699i | −0.197017 | + | 0.366726i | |||||
0 | 0 | |||||||||
−2.01860 | + | 1.69381i | −0.0781605 | + | 0.0655845i | |||||
−1.48057 | − | 0.739997i | −0.0572850 | − | 0.0286313i | |||||
0 | 0 | |||||||||
0.451063 | + | 3.82707i | 0.0174261 | + | 0.147853i | |||||
−13.0116 | − | 35.7491i | −0.502308 | − | 1.38008i | |||||
0 | 0 | |||||||||
22.9216 | − | 13.2338i | 0.883561 | − | 0.510124i | 0.0117304 | − | 0.999931i | ||
0.871831 | + | 0.489807i | ||||||||
7.13485 | − | 7.57712i | 0.274824 | − | 0.291860i | |||||
0 | 0 | |||||||||
2.88937 | + | 6.66293i | 0.111129 | + | 0.256266i | |||||
20.4055 | + | 11.7811i | 0.784248 | + | 0.452786i | 0.837934 | − | 0.545772i | ||
−0.0536855 | + | 0.998558i | ||||||||
0 | 0 | |||||||||
1.72957 | + | 9.80886i | 0.0663747 | + | 0.376429i | |||||
−3.45606 | + | 9.58163i | −0.132534 | + | 0.367439i | |||||
0 | 0 | |||||||||
−36.7879 | − | 49.3153i | −1.40868 | − | 1.88838i | |||||
12.5259 | 0.479292 | 0.239646 | − | 0.970860i | ||||||
0.239646 | + | 0.970860i | ||||||||
0 | 0 | |||||||||
7.37462 | 0.281770 | |||||||||
15.7795 | + | 21.1529i | 0.602464 | + | 0.807622i | |||||
0 | 0 | |||||||||
−42.2469 | − | 18.0305i | −1.61065 | − | 0.687407i | |||||
−3.48178 | − | 19.7461i | −0.132645 | − | 0.752268i | |||||
0 | 0 | |||||||||
−17.6035 | − | 10.1634i | −0.669667 | − | 0.386633i | 0.126283 | − | 0.991994i | ||
−0.795951 | + | 0.605362i | ||||||||
−10.4682 | + | 4.53953i | −0.397943 | + | 0.172567i | |||||
0 | 0 | |||||||||
7.18098 | − | 7.62612i | 0.272586 | − | 0.289484i | |||||
0.00566495 | − | 0.00327066i | 0.000214884 | − | 0.000124063i | |||||
0 | 0 | |||||||||
6.05392 | + | 16.6330i | 0.229309 | + | 0.630020i | |||||
−3.34217 | − | 28.3568i | −0.126503 | − | 1.07332i | |||||
0 | 0 | |||||||||
9.67073 | − | 19.3490i | 0.365519 | − | 0.731323i | |||||
18.7774 | − | 15.7561i | 0.709211 | − | 0.595099i | −0.215167 | − | 0.976577i | ||
0.924378 | + | 0.381479i | ||||||||
0 | 0 | |||||||||
−1.57274 | + | 10.8521i | −0.0593169 | + | 0.409295i | |||||
−15.9853 | + | 44.7230i | −0.602469 | + | 1.68556i | |||||
0 | 0 | |||||||||
−27.7768 | − | 11.9500i | −1.04539 | − | 0.449743i | |||||
−25.0910 | − | 4.42422i | −0.943645 | − | 0.166390i | |||||
0 | 0 | |||||||||
24.6478 | − | 8.97106i | 0.925667 | − | 0.336915i | 0.165176 | − | 0.986264i | ||
0.760491 | + | 0.649349i | ||||||||
−4.93664 | + | 7.52159i | −0.185269 | + | 0.282280i | |||||
0 | 0 | |||||||||
37.1287 | − | 31.3382i | 1.39146 | − | 1.17445i | |||||
1.91960 | − | 2.28769i | 0.0718894 | − | 0.0856745i | |||||
0 | 0 | |||||||||
−11.3567 | + | 19.6704i | −0.424718 | + | 0.735632i | |||||
8.50717 | − | 2.03358i | 0.317928 | − | 0.0759984i | |||||
0 | 0 | |||||||||
−28.5728 | − | 6.74276i | −1.06633 | − | 0.251638i | |||||
4.64524 | − | 12.7627i | 0.173238 | − | 0.475968i | −0.822438 | − | 0.568854i | ||
0.995677 | + | 0.0928858i | ||||||||
0 | 0 | |||||||||
− | 40.7943i | − | 1.51926i | |||||||
−25.2126 | + | 9.29122i | −0.938314 | + | 0.345784i | |||||
0 | 0 | |||||||||
8.87815 | + | 13.4420i | 0.329954 | + | 0.499568i | |||||
9.11127 | − | 25.0330i | 0.338384 | − | 0.929703i | |||||
0 | 0 | |||||||||
−18.5330 | + | 3.26787i | −0.687352 | + | 0.121199i | −0.506407 | − | 0.862295i | ||
−0.180945 | + | 0.983493i | ||||||||
29.8058 | − | 5.34455i | 1.10468 | − | 0.198082i | |||||
0 | 0 | |||||||||
7.07912 | + | 14.0618i | 0.262010 | + | 0.520452i | |||||
−28.3347 | + | 33.7680i | −1.04800 | + | 1.24896i | |||||
0 | 0 | |||||||||
11.3569 | + | 19.6706i | 0.419475 | + | 0.726552i | 0.995887 | − | 0.0906076i | ||
−0.576412 | + | 0.817159i | ||||||||
−13.7951 | − | 9.05411i | −0.509185 | − | 0.334193i | |||||
0 | 0 | |||||||||
−2.29098 | − | 0.256582i | −0.0844466 | − | 0.00945774i | |||||
16.9814 | + | 2.99429i | 0.625520 | + | 0.110296i | |||||
0 | 0 | |||||||||
22.4003 | + | 26.6956i | 0.824008 | + | 0.982015i | 0.999997 | − | 0.00237743i | ||
−0.175989 | + | 0.984392i | ||||||||
−0.538927 | + | 4.68926i | −0.0198114 | + | 0.172381i | |||||
0 | 0 | |||||||||
−18.2238 | − | 1.04377i | −0.669015 | − | 0.0383182i | |||||
−18.5624 | + | 15.5757i | −0.680987 | + | 0.571416i | −0.916295 | − | 0.400505i | ||
0.235307 | + | 0.971921i | ||||||||
0 | 0 | |||||||||
1.88117 | − | 10.6686i | 0.0689207 | − | 0.390869i | |||||
36.9636 | − | 4.35658i | 1.35333 | − | 0.159506i | |||||
0 | 0 | |||||||||
36.6120 | + | 27.1470i | 1.33867 | + | 0.992591i | |||||
−39.1102 | + | 22.5803i | −1.42906 | + | 0.825065i | |||||
0 | 0 | |||||||||
−25.2781 | − | 21.2109i | −0.922412 | − | 0.773995i | 0.0520279 | − | 0.998646i | ||
−0.974439 | + | 0.224650i | ||||||||
−14.6097 | + | 4.43535i | −0.532761 | + | 0.161741i | |||||
0 | 0 | |||||||||
35.7154 | − | 10.7300i | 1.30068 | − | 0.390765i | |||||
−0.627539 | − | 3.55895i | −0.0228385 | − | 0.129523i | |||||
0 | 0 | |||||||||
18.3827 | + | 6.69076i | 0.668131 | + | 0.243180i | 0.653743 | − | 0.756717i | ||
0.0143881 | + | 0.999896i | ||||||||
17.1865 | − | 12.8207i | 0.624243 | − | 0.465668i | |||||
0 | 0 | |||||||||
−10.7301 | + | 4.31777i | −0.389223 | + | 0.156622i | |||||
7.99819 | 0.289934 | 0.144967 | − | 0.989436i | ||||||
0.144967 | + | 0.989436i | ||||||||
0 | 0 | |||||||||
−7.79556 | − | 2.83735i | −0.282218 | − | 0.102719i | |||||
−6.16001 | − | 1.83124i | −0.222861 | − | 0.0662521i | |||||
0 | 0 | |||||||||
−42.1089 | + | 12.6509i | −1.52146 | + | 0.457094i | |||||
5.58073 | + | 3.22204i | 0.201509 | + | 0.116341i | |||||
0 | 0 | |||||||||
9.49371 | + | 7.96617i | 0.342352 | + | 0.287267i | 0.797710 | − | 0.603041i | ||
−0.455358 | + | 0.890308i | ||||||||
15.0541 | + | 14.1754i | 0.542512 | + | 0.510845i | |||||
0 | 0 | |||||||||
9.56488 | + | 7.09215i | 0.344248 | + | 0.255252i | |||||
11.5697 | + | 31.7874i | 0.416132 | + | 1.14331i | 0.953875 | + | 0.300204i | ||
−0.537743 | + | 0.843109i | ||||||||
0 | 0 | |||||||||
−5.24256 | + | 29.7320i | −0.188318 | + | 1.06801i | |||||
−5.33866 | + | 9.30893i | −0.191647 | + | 0.334171i | |||||
0 | 0 | |||||||||
48.4367 | + | 2.77423i | 1.73654 | + | 0.0994611i | |||||
−9.51221 | + | 17.7059i | −0.340810 | + | 0.634381i | |||||
0 | 0 | |||||||||
25.8775 | + | 30.8397i | 0.925971 | + | 1.10353i | |||||
−0.874297 | + | 2.03224i | −0.0312648 | + | 0.0726726i | |||||
0 | 0 | |||||||||
−0.0235015 | + | 0.432232i | −0.000839339 | + | 0.0154369i | |||||
16.7706 | − | 6.10401i | 0.598570 | − | 0.217862i | |||||
0 | 0 | |||||||||
7.27170 | + | 12.5950i | 0.259208 | + | 0.448962i | 0.966030 | − | 0.258430i | ||
−0.706822 | + | 0.707392i | ||||||||
−19.2264 | − | 20.3002i | −0.684914 | − | 0.723166i | |||||
0 | 0 | |||||||||
2.72405 | + | 5.41102i | 0.0969175 | + | 0.192515i | |||||
−25.3535 | + | 43.9135i | −0.901466 | + | 1.56139i | |||||
0 | 0 | |||||||||
−25.7362 | + | 4.53799i | −0.913920 | + | 0.161149i | |||||
2.94185 | − | 12.4662i | 0.104402 | − | 0.442409i | |||||
0 | 0 | |||||||||
10.8646 | + | 16.4496i | 0.385086 | + | 0.583042i | |||||
3.14479i | 0.111394i | 0.998448 | + | 0.0556971i | ||||||
−0.998448 | + | 0.0556971i | ||||||||
0 | 0 | |||||||||
14.6523i | 0.518362i | |||||||||
21.3547 | − | 9.33396i | 0.755004 | − | 0.330005i | |||||
0 | 0 | |||||||||
−10.9316 | − | 2.57971i | −0.386010 | − | 0.0910928i | |||||
69.3755 | − | 12.2328i | 2.44821 | − | 0.431685i | |||||
0 | 0 | |||||||||
−0.501835 | + | 0.869205i | −0.0176874 | + | 0.0306354i | |||||
−37.7498 | + | 19.0043i | −1.32968 | + | 0.669398i | |||||
0 | 0 | |||||||||
−17.7055 | − | 20.9769i | −0.622876 | − | 0.737966i | |||||
7.09419 | + | 12.2875i | 0.249419 | + | 0.432006i | 0.963365 | − | 0.268195i | ||
−0.713946 | + | 0.700201i | ||||||||
0 | 0 | |||||||||
5.23170 | − | 1.90418i | 0.183710 | − | 0.0668649i | −0.248527 | − | 0.968625i | ||
0.432237 | + | 0.901760i | ||||||||
−2.03940 | − | 33.8886i | −0.0715690 | − | 1.18926i | |||||
0 | 0 | |||||||||
19.4017 | + | 8.34689i | 0.680030 | + | 0.292558i | |||||
−3.98936 | − | 4.75434i | −0.139741 | − | 0.166537i | |||||
0 | 0 | |||||||||
−50.0316 | + | 1.53197i | −1.75038 | + | 0.0535967i | |||||
2.21104 | − | 38.6036i | 0.0773072 | − | 1.34974i | |||||
0 | 0 | |||||||||
−3.86800 | + | 7.73902i | −0.135076 | + | 0.270258i | |||||
4.88607 | − | 27.7103i | 0.170525 | − | 0.967096i | −0.772658 | − | 0.634823i | ||
0.943183 | − | 0.332274i | ||||||||
0 | 0 | |||||||||
−13.8813 | − | 38.1386i | −0.483872 | − | 1.32943i | −0.906148 | − | 0.422961i | ||
0.422276 | − | 0.906467i | ||||||||
28.1542 | − | 33.7508i | 0.980800 | − | 1.17577i | |||||
0 | 0 | |||||||||
4.02172 | − | 4.27102i | 0.139934 | − | 0.148608i | |||||
−28.7314 | − | 24.1085i | −0.999088 | − | 0.838334i | −0.0122298 | − | 0.999925i | ||
−0.986858 | + | 0.161591i | ||||||||
0 | 0 | |||||||||
29.0901 | + | 16.7952i | 1.01034 | + | 0.583320i | 0.911291 | − | 0.411762i | ||
0.0990493 | + | 0.995083i | ||||||||
0.282777 | + | 0.941236i | 0.00981534 | + | 0.0326708i | |||||
0 | 0 | |||||||||
28.3481 | + | 16.1487i | 0.982794 | + | 0.559857i | |||||
0.390359 | + | 0.142079i | 0.0135252 | + | 0.00492275i | |||||
0 | 0 | |||||||||
−0.776413 | −0.0268689 | |||||||||
4.68868 | + | 51.5425i | 0.162161 | + | 1.78264i | |||||
0 | 0 | |||||||||
−11.3974 | − | 15.2785i | −0.393715 | − | 0.527788i | |||||
−2.98358 | − | 1.08593i | −0.103005 | − | 0.0374906i | 0.290004 | − | 0.957026i | ||
−0.393008 | + | 0.919535i | ||||||||
0 | 0 | |||||||||
−2.22455 | − | 12.6160i | −0.0767085 | − | 0.435035i | |||||
15.7652 | + | 52.4752i | 0.543306 | + | 1.80842i | |||||
0 | 0 | |||||||||
11.5933 | + | 26.7343i | 0.399058 | + | 0.920234i | |||||
2.60963 | + | 2.18974i | 0.0897741 | + | 0.0753294i | |||||
0 | 0 | |||||||||
55.1211 | − | 31.8242i | 1.89398 | − | 1.09349i | |||||
−14.3569 | − | 13.4407i | −0.493018 | − | 0.461556i | |||||
0 | 0 | |||||||||
−2.61791 | − | 22.2118i | −0.0897936 | − | 0.761859i | |||||
−0.178022 | + | 1.00961i | −0.00610253 | + | 0.0346091i | |||||
0 | 0 | |||||||||
31.0068 | − | 26.0178i | 1.06165 | − | 0.890833i | 0.0673834 | − | 0.997727i | ||
0.994270 | + | 0.106894i | ||||||||
−1.36041 | + | 23.7520i | −0.0465522 | + | 0.812778i | |||||
0 | 0 | |||||||||
−47.9413 | − | 8.31036i | −1.63860 | − | 0.284042i | |||||
−4.59201 | − | 5.47255i | −0.156860 | − | 0.186939i | 0.681891 | − | 0.731454i | ||
−0.838751 | + | 0.544515i | ||||||||
0 | 0 | |||||||||
33.5177 | + | 5.91007i | 1.14361 | + | 0.201649i | 0.713184 | − | 0.700977i | ||
0.430425 | + | 0.902626i | ||||||||
−21.5074 | + | 1.29431i | −0.733398 | + | 0.0441355i | |||||
0 | 0 | |||||||||
30.7073 | − | 46.7864i | 1.04589 | − | 1.59355i | |||||
−3.20642 | − | 5.55368i | −0.109148 | − | 0.189049i | 0.806277 | − | 0.591538i | ||
−0.915425 | + | 0.402488i | ||||||||
0 | 0 | |||||||||
−3.44034 | + | 4.10003i | −0.116975 | + | 0.139405i | |||||
−45.9422 | + | 23.1286i | −1.56118 | + | 0.785941i | |||||
0 | 0 | |||||||||
8.94529 | + | 37.4213i | 0.303623 | + | 1.27016i | |||||
26.6958 | − | 4.70719i | 0.905593 | − | 0.159680i | |||||
0 | 0 | |||||||||
4.05124 | − | 11.1307i | 0.137271 | − | 0.377149i | |||||
−4.49138 | − | 7.72757i | −0.152097 | − | 0.261689i | |||||
0 | 0 | |||||||||
−2.38266 | + | 0.796109i | −0.0805948 | + | 0.0269288i | |||||
− | 22.4609i | − | 0.759317i | |||||||
0 | 0 | |||||||||
2.85384 | − | 7.84086i | 0.0963673 | − | 0.264767i | −0.882137 | − | 0.470993i | ||
0.978504 | + | 0.206226i | ||||||||
3.69304 | − | 15.6494i | 0.124634 | − | 0.528142i | |||||
0 | 0 | |||||||||
2.67171 | + | 22.1175i | 0.0900634 | + | 0.745580i | |||||
9.44775 | − | 16.3640i | 0.318303 | − | 0.551316i | −0.661831 | − | 0.749653i | ||
0.980134 | + | 0.198336i | ||||||||
0 | 0 | |||||||||
7.40855 | − | 8.82916i | 0.249317 | − | 0.297125i | −0.626842 | − | 0.779146i | ||
0.876159 | + | 0.482021i | ||||||||
22.7320 | − | 21.5296i | 0.764561 | − | 0.724119i | |||||
0 | 0 | |||||||||
−26.7536 | − | 17.5592i | −0.898805 | − | 0.589912i | |||||
15.5662 | − | 5.66563i | 0.522661 | − | 0.190233i | −0.0671973 | − | 0.997740i | ||
0.589859 | + | 0.807507i | ||||||||
0 | 0 | |||||||||
−38.4579 | − | 6.78117i | −1.28984 | − | 0.227433i | |||||
9.00670 | − | 20.9354i | 0.301905 | − | 0.701756i | |||||
0 | 0 | |||||||||
−10.8404 | − | 1.24587i | −0.362964 | − | 0.0417147i | |||||
−12.4122 | + | 11.0798i | −0.415358 | + | 0.370772i | |||||
0 | 0 | |||||||||
3.14303 | − | 2.63731i | 0.105060 | − | 0.0881556i | |||||
20.2357 | − | 21.7409i | 0.676027 | − | 0.726311i | |||||
0 | 0 | |||||||||
−43.2090 | + | 5.09266i | −1.44190 | + | 0.169944i | |||||
16.2063 | + | 44.5265i | 0.540511 | + | 1.48504i | |||||
0 | 0 | |||||||||
−16.3448 | + | 9.43668i | −0.544525 | + | 0.314381i | |||||
28.1852 | + | 26.5400i | 0.938463 | + | 0.883685i | |||||
0 | 0 | |||||||||
−51.2830 | + | 18.8337i | −1.70565 | + | 0.626401i | |||||
6.54409 | + | 3.77823i | 0.217533 | + | 0.125593i | |||||
0 | 0 | |||||||||
−3.05694 | − | 17.3368i | −0.101504 | − | 0.575658i | −0.992559 | − | 0.121763i | ||
0.891055 | − | 0.453895i | ||||||||
−2.70044 | + | 9.08385i | −0.0896173 | + | 0.301458i | |||||
0 | 0 | |||||||||
11.3853 | − | 8.49312i | 0.377419 | − | 0.281544i | |||||
30.1503 | 0.998923 | 0.499462 | − | 0.866336i | ||||||
0.499462 | + | 0.866336i | ||||||||
0 | 0 | |||||||||
4.39769 | 0.145542 | |||||||||
27.5105 | − | 20.5220i | 0.909965 | − | 0.678809i | |||||
0 | 0 | |||||||||
−14.6509 | + | 49.2832i | −0.484079 | + | 1.62836i | |||||
−1.46897 | − | 8.33094i | −0.0485097 | − | 0.275112i | |||||
0 | 0 | |||||||||
11.6050 | + | 6.70014i | 0.382813 | + | 0.221017i | 0.679041 | − | 0.734100i | ||
−0.296228 | + | 0.955117i | ||||||||
−1.01507 | + | 0.372786i | −0.0334659 | + | 0.0122904i | |||||
0 | 0 | |||||||||
38.1608 | + | 35.9333i | 1.25676 | + | 1.18340i | |||||
23.9497 | − | 13.8274i | 0.788313 | − | 0.455133i | |||||
0 | 0 | |||||||||
−3.54476 | − | 9.73915i | −0.116551 | − | 0.320221i | |||||
29.4648 | − | 3.47276i | 0.968275 | − | 0.114122i | |||||
0 | 0 | |||||||||
21.7010 | − | 29.4450i | 0.712371 | − | 0.966579i | |||||
−23.6357 | + | 19.8327i | −0.775461 | + | 0.650689i | −0.942101 | − | 0.335329i | ||
0.166640 | + | 0.986018i | ||||||||
0 | 0 | |||||||||
0.174825 | + | 0.438117i | 0.00572966 | + | 0.0143587i | |||||
−28.7199 | − | 3.30071i | −0.940750 | − | 0.108118i | |||||
0 | 0 | |||||||||
−22.0821 | + | 51.3283i | −0.722550 | + | 1.67951i | |||||
21.0549 | + | 3.71255i | 0.688569 | + | 0.121413i | |||||
0 | 0 | |||||||||
−24.9043 | + | 9.06443i | −0.813588 | + | 0.296122i | −0.715105 | − | 0.699017i | ||
−0.0984830 | + | 0.995139i | ||||||||
−9.01511 | − | 5.91688i | −0.294354 | − | 0.193193i | |||||
0 | 0 | |||||||||
−5.19988 | + | 4.92484i | −0.169602 | + | 0.160630i | |||||
19.3496 | − | 23.0600i | 0.630780 | − | 0.751734i | −0.352104 | − | 0.935961i | ||
0.982884 | + | 0.184227i | ||||||||
0 | 0 | |||||||||
−0.939566 | + | 1.62738i | −0.0305965 | + | 0.0529947i | |||||
6.27499 | − | 0.757996i | 0.204233 | − | 0.0246707i | |||||
0 | 0 | |||||||||
−22.1438 | + | 93.8354i | −0.719957 | + | 3.05085i | |||||
−8.91757 | + | 24.5008i | −0.289782 | + | 0.796170i | 0.706314 | + | 0.707898i | ||
−0.996096 | + | 0.0882717i | ||||||||
0 | 0 | |||||||||
− | 48.3914i | − | 1.57085i | |||||||
16.8363 | − | 19.0138i | 0.546243 | − | 0.616890i | |||||
0 | 0 | |||||||||
−14.3229 | − | 24.6430i | −0.464208 | − | 0.798685i | |||||
0.413730 | − | 1.13671i | 0.0134020 | − | 0.0368217i | −0.932811 | − | 0.360365i | ||
0.946213 | + | 0.323544i | ||||||||
0 | 0 | |||||||||
−2.96869 | + | 0.523460i | −0.0960646 | + | 0.0169388i | |||||
7.05669 | + | 29.5206i | 0.228230 | + | 0.954764i | |||||
0 | 0 | |||||||||
16.2182 | − | 8.16470i | 0.523987 | − | 0.263790i | |||||
−13.2648 | + | 15.8084i | −0.428343 | + | 0.510479i | |||||
0 | 0 | |||||||||
−11.3503 | − | 19.6592i | −0.366138 | − | 0.634169i | |||||
7.96096 | − | 12.1295i | 0.256672 | − | 0.391071i | |||||
0 | 0 | |||||||||
−11.2021 | + | 0.674137i | −0.360796 | + | 0.0217125i | |||||
5.50060 | + | 0.969904i | 0.177071 | + | 0.0312223i | |||||
0 | 0 | |||||||||
22.9011 | + | 27.2925i | 0.736451 | + | 0.877668i | 0.996118 | − | 0.0880305i | ||
−0.259667 | + | 0.965698i | ||||||||
67.5675 | + | 11.7125i | 2.17170 | + | 0.376452i | |||||
0 | 0 | |||||||||
−0.287837 | + | 5.02548i | −0.00924188 | + | 0.161358i | |||||
10.6081 | − | 8.90129i | 0.340432 | − | 0.285656i | −0.456503 | − | 0.889722i | ||
0.796934 | + | 0.604066i | ||||||||
0 | 0 | |||||||||
−0.00317855 | + | 0.0180265i | −0.000101900 | + | 0.000577902i | |||||
−5.60184 | − | 47.5291i | −0.179495 | − | 1.52293i | |||||
0 | 0 | |||||||||
−17.5180 | + | 18.7122i | −0.560738 | + | 0.598961i | |||||
−6.07278 | + | 3.50612i | −0.194285 | + | 0.112171i | −0.593987 | − | 0.804475i | ||
0.399702 | + | 0.916645i | ||||||||
0 | 0 | |||||||||
−78.1215 | − | 65.5517i | −2.49677 | − | 2.09504i | |||||
0.0807831 | + | 0.186287i | 0.00258052 | + | 0.00595073i | |||||
0 | 0 | |||||||||
−13.1132 | − | 43.6478i | −0.418459 | − | 1.39286i | |||||
−1.42112 | − | 8.05956i | −0.0453266 | − | 0.257060i | 0.953721 | − | 0.300693i | ||
−0.999048 | + | 0.0436329i | ||||||||
0 | 0 | |||||||||
−12.3243 | − | 4.48570i | −0.392686 | − | 0.142926i | |||||
−20.9890 | − | 28.1364i | −0.668425 | − | 0.896045i | |||||
0 | 0 | |||||||||
35.4276 | + | 2.97635i | 1.12710 | + | 0.0946904i | |||||
−4.67977 | −0.148808 | |||||||||
0 | 0 | |||||||||
50.4787 | + | 18.3727i | 1.60351 | + | 0.583629i | 0.980141 | − | 0.198300i | ||
0.623367 | + | 0.781929i | ||||||||
−18.4255 | + | 37.1338i | −0.585011 | + | 1.17900i | |||||
0 | 0 | |||||||||
−7.24384 | − | 24.1114i | −0.229761 | − | 0.764768i | |||||
8.00833 | + | 4.62361i | 0.253881 | + | 0.146578i | |||||
0 | 0 | |||||||||
8.97721 | + | 7.53277i | 0.284311 | + | 0.238565i | 0.773778 | − | 0.633456i | ||
−0.489467 | + | 0.872022i | ||||||||
−13.7777 | + | 14.6317i | −0.436125 | + | 0.463160i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 684.2.cf.c.127.3 | 60 | ||
3.2 | odd | 2 | 228.2.w.a.127.8 | yes | 60 | ||
4.3 | odd | 2 | 684.2.cf.b.127.8 | 60 | |||
12.11 | even | 2 | 228.2.w.b.127.3 | yes | 60 | ||
19.3 | odd | 18 | 684.2.cf.b.307.8 | 60 | |||
57.41 | even | 18 | 228.2.w.b.79.3 | yes | 60 | ||
76.3 | even | 18 | inner | 684.2.cf.c.307.3 | 60 | ||
228.155 | odd | 18 | 228.2.w.a.79.8 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
228.2.w.a.79.8 | ✓ | 60 | 228.155 | odd | 18 | ||
228.2.w.a.127.8 | yes | 60 | 3.2 | odd | 2 | ||
228.2.w.b.79.3 | yes | 60 | 57.41 | even | 18 | ||
228.2.w.b.127.3 | yes | 60 | 12.11 | even | 2 | ||
684.2.cf.b.127.8 | 60 | 4.3 | odd | 2 | |||
684.2.cf.b.307.8 | 60 | 19.3 | odd | 18 | |||
684.2.cf.c.127.3 | 60 | 1.1 | even | 1 | trivial | ||
684.2.cf.c.307.3 | 60 | 76.3 | even | 18 | inner |