Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [850,2,Mod(107,850)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(850, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([4, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("850.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 850.v (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: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 607.3 | ||
Character | 850.607 | ||
Dual form | 850.2.v.a.843.3 |
-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 .
−0.382683 | + | 0.923880i | −0.270598 | + | 0.653281i | |||||
0.437319 | − | 2.19855i | 0.252486 | − | 1.26934i | −0.621511 | − | 0.783405i | ||
0.873998 | − | 0.485930i | ||||||||
−0.707107 | − | 0.707107i | −0.353553 | − | 0.353553i | |||||
0 | 0 | |||||||||
1.86384 | + | 1.24538i | 0.760911 | + | 0.508424i | |||||
1.94597 | + | 1.30026i | 0.735509 | + | 0.491452i | 0.866029 | − | 0.499994i | ||
−0.130519 | + | 0.991446i | ||||||||
0.923880 | − | 0.382683i | 0.326641 | − | 0.135299i | |||||
−1.87075 | − | 0.774889i | −0.623583 | − | 0.258296i | |||||
0 | 0 | |||||||||
2.08242 | − | 3.11656i | 0.627873 | − | 0.939679i | −0.372061 | − | 0.928208i | ||
0.999934 | − | 0.0114704i | ||||||||
−1.86384 | + | 1.24538i | −0.538045 | + | 0.359510i | |||||
1.83794 | 0.509752 | 0.254876 | − | 0.966974i | ||||||
0.254876 | + | 0.966974i | ||||||||
−1.94597 | + | 1.30026i | −0.520084 | + | 0.347509i | |||||
0 | 0 | |||||||||
1.00000i | 0.250000i | |||||||||
−2.84065 | + | 2.98843i | −0.688960 | + | 0.724800i | |||||
1.43181 | − | 1.43181i | 0.337481 | − | 0.337481i | |||||
6.19346 | − | 2.56542i | 1.42088 | − | 0.588547i | 0.465797 | − | 0.884892i | ||
0.955081 | + | 0.296345i | ||||||||
0 | 0 | |||||||||
3.70970 | − | 3.70970i | 0.809523 | − | 0.809523i | |||||
2.08242 | + | 3.11656i | 0.443973 | + | 0.664453i | |||||
−5.00678 | + | 0.995910i | −1.04398 | + | 0.207661i | −0.687157 | − | 0.726509i | ||
−0.356828 | + | 0.934170i | ||||||||
−0.437319 | − | 2.19855i | −0.0892674 | − | 0.448778i | |||||
0 | 0 | |||||||||
−0.703348 | + | 1.69803i | −0.137938 | + | 0.333011i | |||||
1.21439 | − | 1.81746i | 0.233710 | − | 0.349771i | |||||
−0.456590 | − | 2.29543i | −0.0862874 | − | 0.433796i | |||||
0.598780 | + | 0.119105i | 0.111191 | + | 0.0221172i | 0.250372 | − | 0.968150i | ||
−0.139181 | + | 0.990267i | ||||||||
0 | 0 | |||||||||
2.46039 | + | 3.68223i | 0.441899 | + | 0.661349i | 0.983836 | − | 0.179070i | ||
−0.541937 | + | 0.840419i | ||||||||
−0.923880 | − | 0.382683i | −0.163320 | − | 0.0676495i | |||||
−5.94124 | − | 5.94124i | −1.03424 | − | 1.03424i | |||||
−1.67388 | − | 3.76804i | −0.287067 | − | 0.646214i | |||||
0 | 0 | |||||||||
0.774889 | + | 1.87075i | 0.129148 | + | 0.311791i | |||||
−1.64915 | − | 0.328036i | −0.271119 | − | 0.0539289i | 0.0576586 | − | 0.998336i | ||
−0.328777 | + | 0.944408i | ||||||||
6.70375i | 1.08749i | |||||||||
0.803765 | − | 4.04080i | 0.128705 | − | 0.647046i | |||||
0 | 0 | |||||||||
3.38971 | − | 0.674255i | 0.529384 | − | 0.105301i | 0.0768405 | − | 0.997043i | ||
0.452543 | + | 0.891742i | ||||||||
2.00768 | + | 4.84696i | 0.309791 | + | 0.747902i | |||||
0.926479 | + | 2.23672i | 0.141287 | + | 0.341096i | 0.978645 | − | 0.205558i | ||
−0.837358 | + | 0.546655i | ||||||||
−3.67624 | + | 0.731249i | −0.554213 | + | 0.110240i | |||||
0 | 0 | |||||||||
0.995910 | − | 5.00678i | 0.146839 | − | 0.738209i | |||||
− | 10.6121i | − | 1.54793i | −0.633229 | − | 0.773965i | ||||
0.633229 | − | 0.773965i | ||||||||
2.19855 | + | 0.437319i | 0.317334 | + | 0.0631216i | |||||
−0.582639 | − | 1.40662i | −0.0832342 | − | 0.200945i | |||||
0 | 0 | |||||||||
5.32794 | + | 7.55222i | 0.746061 | + | 1.05752i | |||||
−1.29962 | − | 1.29962i | −0.180224 | − | 0.180224i | |||||
1.76897 | + | 0.732730i | 0.242986 | + | 0.100648i | 0.500853 | − | 0.865532i | ||
−0.257867 | + | 0.966180i | ||||||||
1.21439 | + | 1.81746i | 0.165258 | + | 0.247326i | |||||
0 | 0 | |||||||||
2.29543 | + | 0.456590i | 0.306740 | + | 0.0610144i | |||||
−2.93168 | − | 14.7386i | −0.388311 | − | 1.95217i | |||||
−0.339182 | + | 0.507621i | −0.0445367 | + | 0.0666539i | |||||
4.86169 | − | 11.7372i | 0.632938 | − | 1.52805i | −0.202973 | − | 0.979184i | ||
0.835912 | − | 0.548864i | ||||||||
0 | 0 | |||||||||
−1.29314 | − | 6.50106i | −0.165570 | − | 0.832375i | −0.970888 | − | 0.239533i | ||
0.805318 | − | 0.592842i | ||||||||
−4.34349 | + | 0.863974i | −0.551624 | + | 0.109725i | |||||
−2.63287 | − | 3.94037i | −0.331711 | − | 0.496440i | |||||
0.707107 | − | 0.707107i | 0.0883883 | − | 0.0883883i | |||||
0 | 0 | |||||||||
7.76261 | − | 3.21538i | 0.955511 | − | 0.395786i | |||||
0.983164 | − | 0.983164i | 0.120113 | − | 0.120113i | −0.644495 | − | 0.764608i | ||
0.764608 | + | 0.644495i | ||||||||
4.12178 | − | 0.104492i | 0.499839 | − | 0.0126715i | |||||
11.4432i | 1.37760i | |||||||||
0 | 0 | |||||||||
7.07898 | − | 4.73002i | 0.840120 | − | 0.561350i | −0.0593975 | − | 0.998234i | ||
0.899518 | + | 0.436884i | ||||||||
−2.02488 | −0.238635 | |||||||||
−3.82200 | + | 2.55378i | −0.447331 | + | 0.298897i | −0.758758 | − | 0.651373i | ||
0.311426 | + | 0.950270i | ||||||||
0.934169 | − | 1.39808i | 0.108595 | − | 0.162524i | |||||
0 | 0 | |||||||||
−6.19346 | − | 2.56542i | −0.710439 | − | 0.294273i | |||||
8.10467 | − | 3.35707i | 0.923613 | − | 0.382573i | |||||
3.42563 | + | 2.28893i | 0.387876 | + | 0.259170i | |||||
−4.28663 | − | 2.86424i | −0.482284 | − | 0.322252i | 0.290551 | − | 0.956860i | ||
−0.772834 | + | 0.634608i | ||||||||
0 | 0 | |||||||||
−7.76014 | − | 7.76014i | −0.862238 | − | 0.862238i | |||||
−0.674255 | + | 3.38971i | −0.0744590 | + | 0.374331i | |||||
−5.34887 | + | 12.9133i | −0.587114 | + | 1.41742i | 0.299135 | + | 0.954211i | ||
−0.886249 | + | 0.463208i | ||||||||
−5.24631 | −0.572419 | |||||||||
0 | 0 | |||||||||
−2.42101 | −0.261064 | |||||||||
0.523716 | − | 1.26436i | 0.0561483 | − | 0.135554i | |||||
0.731249 | − | 3.67624i | 0.0779514 | − | 0.391888i | |||||
−11.0963 | − | 11.0963i | −1.17620 | − | 1.17620i | −0.980704 | − | 0.195500i | ||
−0.195500 | − | 0.980704i | ||||||||
0 | 0 | |||||||||
3.57658 | + | 2.38979i | 0.374927 | + | 0.250518i | |||||
4.24454 | + | 2.83611i | 0.442524 | + | 0.295685i | |||||
9.17156 | − | 3.79898i | 0.951046 | − | 0.393936i | |||||
9.80427 | + | 4.06106i | 1.01123 | + | 0.418867i | |||||
0 | 0 | |||||||||
−1.24538 | + | 1.86384i | −0.127106 | + | 0.190228i | |||||
9.35564 | − | 6.25124i | 0.949921 | − | 0.634717i | 0.0189540 | − | 0.999820i | ||
0.930967 | + | 0.365103i | ||||||||
1.52251 | 0.153797 | |||||||||
−6.31067 | + | 4.21666i | −0.634247 | + | 0.423790i | |||||
0 | 0 | |||||||||
16.4108i | 1.63294i | 0.577389 | + | 0.816469i | ||||||
−0.577389 | + | 0.816469i | ||||||||
−9.01626 | + | 2.03227i | −0.892743 | + | 0.201224i | |||||
−11.2381 | + | 11.2381i | −1.10733 | + | 1.10733i | −0.113825 | + | 0.993501i | ||
−0.993501 | + | 0.113825i | ||||||||
1.69803 | − | 0.703348i | 0.166506 | − | 0.0689689i | |||||
0 | 0 | |||||||||
−1.35391 | + | 1.35391i | −0.131503 | + | 0.131503i | |||||
−0.445180 | − | 0.666259i | −0.0430372 | − | 0.0644097i | 0.809327 | − | 0.587358i | ||
−0.852364 | + | 0.522948i | ||||||||
−2.14385 | + | 0.426437i | −0.206292 | + | 0.0410340i | |||||
2.71439 | + | 13.6462i | 0.259991 | + | 1.30707i | 0.861320 | + | 0.508063i | ||
−0.601328 | + | 0.799002i | ||||||||
0 | 0 | |||||||||
−1.44241 | + | 3.48229i | −0.136908 | + | 0.330524i | |||||
−1.30026 | + | 1.94597i | −0.122863 | + | 0.183877i | |||||
0.0285995 | + | 0.143780i | 0.00269042 | + | 0.0135256i | 0.982107 | − | 0.188323i | ||
−0.979417 | + | 0.201849i | ||||||||
14.7386 | + | 2.93168i | 1.38039 | + | 0.274577i | |||||
0 | 0 | |||||||||
−0.339182 | − | 0.507621i | −0.0314922 | − | 0.0471314i | |||||
−3.43832 | − | 1.42420i | −0.317872 | − | 0.131667i | |||||
8.98323 | + | 8.98323i | 0.826974 | + | 0.826974i | |||||
−9.41357 | + | 2.12182i | −0.862940 | + | 0.194507i | |||||
0 | 0 | |||||||||
−1.16697 | − | 2.81731i | −0.106088 | − | 0.256119i | |||||
6.50106 | + | 1.29314i | 0.588578 | + | 0.117075i | |||||
− | 7.74732i | − | 0.698552i | |||||||
0.863974 | − | 4.34349i | 0.0775871 | − | 0.390057i | |||||
0 | 0 | |||||||||
4.64799 | − | 0.924542i | 0.414075 | − | 0.0823647i | |||||
8.16676 | + | 19.7163i | 0.724683 | + | 1.74954i | 0.659547 | + | 0.751664i | ||
0.0651365 | + | 0.997876i | ||||||||
0.382683 | + | 0.923880i | 0.0338248 | + | 0.0816602i | |||||
5.32271 | − | 1.05875i | 0.468639 | − | 0.0932180i | |||||
0 | 0 | |||||||||
−2.51893 | + | 12.6635i | −0.220080 | + | 1.10642i | 0.699837 | + | 0.714302i | ||
−0.919917 | + | 0.392113i | ||||||||
8.40219i | 0.731317i | |||||||||
15.3880 | + | 3.06087i | 1.33431 | + | 0.265411i | |||||
0.532085 | + | 1.28457i | 0.0459651 | + | 0.110970i | |||||
0 | 0 | |||||||||
−1.48080 | + | 3.84802i | −0.126978 | + | 0.329965i | |||||
1.52157 | + | 1.52157i | 0.129997 | + | 0.129997i | 0.769111 | − | 0.639115i | ||
−0.639115 | + | 0.769111i | ||||||||
−10.5721 | − | 4.37912i | −0.899959 | − | 0.372775i | |||||
10.8206 | + | 16.1941i | 0.917788 | + | 1.37357i | 0.927584 | + | 0.373614i | ||
−0.00979673 | + | 0.999952i | ||||||||
0 | 0 | |||||||||
−23.3312 | − | 4.64086i | −1.96484 | − | 0.390831i | |||||
1.66096 | + | 8.35023i | 0.139385 | + | 0.700735i | |||||
3.82736 | − | 5.72804i | 0.320060 | − | 0.479003i | |||||
0.774889 | − | 1.87075i | 0.0645741 | − | 0.155896i | |||||
0 | 0 | |||||||||
−0.896768 | − | 4.50836i | −0.0742170 | − | 0.373114i | |||||
−3.34732 | + | 0.665823i | −0.276082 | + | 0.0549161i | |||||
0.934169 | + | 1.39808i | 0.0767882 | + | 0.114922i | |||||
−13.4649 | + | 13.4649i | −1.10308 | + | 1.10308i | −0.109047 | + | 0.994037i | ||
−0.994037 | + | 0.109047i | ||||||||
0 | 0 | |||||||||
−5.17302 | + | 2.14274i | −0.420975 | + | 0.174373i | −0.583107 | − | 0.812396i | ||
0.162132 | + | 0.986769i | ||||||||
4.74027 | − | 4.74027i | 0.384487 | − | 0.384487i | |||||
7.62985 | − | 3.38940i | 0.616836 | − | 0.274017i | |||||
8.77244i | 0.706903i | |||||||||
0 | 0 | |||||||||
−3.42563 | + | 2.28893i | −0.274270 | + | 0.183261i | |||||
2.43885 | 0.194642 | 0.0973209 | − | 0.995253i | ||||||
0.0973209 | + | 0.995253i | ||||||||
4.28663 | − | 2.86424i | 0.341026 | − | 0.227866i | |||||
2.38455 | − | 3.56873i | 0.189107 | − | 0.283019i | |||||
0 | 0 | |||||||||
−11.0380 | − | 4.57209i | −0.869916 | − | 0.360331i | |||||
10.1391 | − | 4.19976i | 0.796604 | − | 0.329964i | |||||
−5.99898 | − | 4.00839i | −0.469876 | − | 0.313961i | 0.297993 | − | 0.954568i | ||
−0.767869 | + | 0.640607i | ||||||||
−2.87366 | − | 1.92012i | −0.224395 | − | 0.149936i | |||||
0 | 0 | |||||||||
−9.88341 | − | 9.88341i | −0.767102 | − | 0.767102i | |||||
−3.00246 | + | 15.0944i | −0.232337 | + | 1.16804i | 0.671779 | + | 0.740752i | ||
−0.904116 | + | 0.427287i | ||||||||
2.00768 | − | 4.84696i | 0.154896 | − | 0.373951i | |||||
−9.62199 | −0.740153 | |||||||||
0 | 0 | |||||||||
−13.5743 | −1.03805 | |||||||||
0.926479 | − | 2.23672i | 0.0706434 | − | 0.170548i | |||||
0.592427 | − | 2.97833i | 0.0450414 | − | 0.226438i | −0.951708 | − | 0.307005i | ||
0.996749 | + | 0.0805670i | ||||||||
0.967701 | + | 0.967701i | 0.0733612 | + | 0.0733612i | |||||
0 | 0 | |||||||||
3.11656 | + | 2.08242i | 0.234920 | + | 0.156968i | |||||
−23.6787 | − | 15.8216i | −1.77980 | − | 1.18922i | |||||
14.4980 | − | 6.00527i | 1.08667 | − | 0.450114i | |||||
−12.6642 | − | 5.24569i | −0.946568 | − | 0.392081i | −0.144628 | − | 0.989486i | ||
−0.801940 | + | 0.597405i | ||||||||
0 | 0 | |||||||||
5.41668 | − | 8.10663i | 0.402618 | − | 0.602561i | −0.573656 | − | 0.819096i | ||
0.976275 | + | 0.216535i | ||||||||
−3.57658 | + | 2.38979i | −0.265114 | + | 0.177143i | |||||
−14.8584 | −1.09837 | |||||||||
−4.24454 | + | 2.83611i | −0.312912 | + | 0.209081i | |||||
0 | 0 | |||||||||
9.92722i | 0.727899i | |||||||||
3.39818 | + | 15.0762i | 0.248500 | + | 1.10248i | |||||
−7.50387 | + | 7.50387i | −0.547276 | + | 0.547276i | |||||
4.72635 | − | 1.95772i | 0.343791 | − | 0.142403i | |||||
0 | 0 | |||||||||
−13.0447 | + | 13.0447i | −0.943881 | + | 0.943881i | −0.998507 | − | 0.0546255i | ||
0.0546255 | + | 0.998507i | ||||||||
−1.24538 | − | 1.86384i | −0.0898776 | − | 0.134511i | |||||
20.4235 | − | 4.06249i | 1.47012 | − | 0.292424i | 0.605899 | − | 0.795542i | ||
0.864218 | + | 0.503117i | ||||||||
2.19514 | + | 11.0357i | 0.157602 | + | 0.792319i | |||||
0 | 0 | |||||||||
−0.582639 | + | 1.40662i | −0.0416171 | + | 0.100473i | |||||
2.35217 | − | 3.52027i | 0.167585 | − | 0.250809i | −0.738166 | − | 0.674619i | ||
0.905751 | + | 0.423811i | ||||||||
−1.48069 | − | 7.44395i | −0.105228 | − | 0.529018i | |||||
25.8402 | + | 5.13993i | 1.83176 | + | 0.364360i | 0.985671 | − | 0.168681i | ||
0.846089 | + | 0.533041i | ||||||||
0 | 0 | |||||||||
−1.73158 | − | 2.59150i | −0.122136 | − | 0.182790i | |||||
−15.1616 | − | 6.28015i | −1.06677 | − | 0.441870i | |||||
1.01034 | + | 1.01034i | 0.0709122 | + | 0.0709122i | |||||
1.57280 | − | 9.10765i | 0.110118 | − | 0.637663i | |||||
0 | 0 | |||||||||
−6.08203 | − | 14.6833i | −0.423755 | − | 1.02304i | |||||
10.1381 | + | 2.01660i | 0.704649 | + | 0.140163i | |||||
1.83794i | 0.127438i | |||||||||
4.90211 | − | 24.6446i | 0.339086 | − | 1.70470i | |||||
0 | 0 | |||||||||
21.7949 | − | 4.33527i | 1.50042 | − | 0.298452i | 0.624545 | − | 0.780989i | ||
0.875876 | + | 0.482536i | ||||||||
−0.732730 | − | 1.76897i | −0.0503241 | − | 0.121493i | |||||
−7.30343 | − | 17.6320i | −0.500423 | − | 1.20813i | |||||
0.785906 | − | 0.156326i | 0.0537234 | − | 0.0106863i | |||||
0 | 0 | |||||||||
0.426437 | − | 2.14385i | 0.0290154 | − | 0.145870i | |||||
10.3647i | 0.703600i | |||||||||
−13.6462 | − | 2.71439i | −0.924235 | − | 0.183842i | |||||
3.94318 | + | 9.51969i | 0.266456 | + | 0.643281i | |||||
0 | 0 | |||||||||
−5.22094 | + | 5.49254i | −0.351198 | + | 0.369468i | |||||
−2.66523 | − | 2.66523i | −0.178878 | − | 0.178878i | |||||
−11.8905 | − | 4.92520i | −0.796246 | − | 0.329816i | −0.0527941 | − | 0.998605i | ||
−0.743452 | + | 0.668790i | ||||||||
−1.30026 | − | 1.94597i | −0.0868772 | − | 0.130021i | |||||
0 | 0 | |||||||||
−0.143780 | − | 0.0285995i | −0.00956408 | − | 0.00190241i | |||||
−4.99137 | − | 25.0933i | −0.331289 | − | 1.66550i | −0.683780 | − | 0.729688i | ||
0.352491 | − | 0.935815i | ||||||||
−8.34872 | + | 12.4947i | −0.552908 | + | 0.827485i | |||||
4.78226 | − | 11.5454i | 0.316021 | − | 0.762942i | −0.683437 | − | 0.730010i | ||
0.999458 | − | 0.0329322i | ||||||||
0 | 0 | |||||||||
−3.83636 | − | 19.2867i | −0.252414 | − | 1.26897i | |||||
0.598780 | − | 0.119105i | 0.0393118 | − | 0.00781961i | |||||
−3.93433 | − | 5.88814i | −0.257747 | − | 0.385745i | 0.679917 | − | 0.733289i | ||
−0.937664 | + | 0.347544i | ||||||||
2.63157 | − | 2.63157i | 0.172031 | − | 0.172031i | |||||
0 | 0 | |||||||||
−11.7372 | + | 4.86169i | −0.764024 | + | 0.316469i | |||||
−8.17180 | + | 8.17180i | −0.530815 | + | 0.530815i | |||||
1.64211 | − | 9.50899i | 0.106442 | − | 0.616376i | |||||
19.6102i | 1.26848i | 0.773137 | + | 0.634239i | ||||||
−0.773137 | + | 0.634239i | ||||||||
0 | 0 | |||||||||
−3.93961 | + | 2.63236i | −0.253772 | + | 0.169565i | −0.675949 | − | 0.736948i | ||
0.422177 | + | 0.906513i | ||||||||
3.04943 | 0.196025 | |||||||||
−15.0023 | + | 10.0242i | −0.962401 | + | 0.643056i | |||||
−3.68255 | + | 5.51133i | −0.235751 | + | 0.352827i | |||||
0 | 0 | |||||||||
7.15759 | + | 2.96477i | 0.456351 | + | 0.189027i | |||||
11.3832 | − | 4.71507i | 0.724295 | − | 0.300013i | |||||
3.68223 | + | 2.46039i | 0.233822 | + | 0.156235i | |||||
26.0514 | + | 17.4070i | 1.65094 | + | 1.10312i | |||||
0 | 0 | |||||||||
1.58594 | + | 1.58594i | 0.100104 | + | 0.100104i | 0.755385 | − | 0.655281i | ||
−0.655281 | + | 0.755385i | ||||||||
−0.924542 | + | 4.64799i | −0.0582407 | + | 0.292796i | |||||
−7.32240 | + | 17.6778i | −0.460355 | + | 1.11140i | |||||
−21.3408 | −1.33904 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.0625000 | |||||||||
2.51235 | − | 6.06534i | 0.156716 | − | 0.378345i | −0.825947 | − | 0.563748i | ||
0.982663 | + | 0.185403i | ||||||||
−1.05875 | + | 5.32271i | −0.0659151 | + | 0.331378i | |||||
−2.78267 | − | 2.78267i | −0.172907 | − | 0.172907i | |||||
0 | 0 | |||||||||
−1.02787 | − | 0.686803i | −0.0636238 | − | 0.0425120i | |||||
−10.7356 | − | 7.17330i | −0.663248 | − | 0.443168i | |||||
−4.74347 | + | 1.96481i | −0.292495 | + | 0.121155i | −0.524106 | − | 0.851653i | ||
0.231611 | + | 0.972808i | ||||||||
−7.76261 | − | 3.21538i | −0.477756 | − | 0.197893i | |||||
0 | 0 | |||||||||
−8.71662 | + | 13.0453i | −0.534450 | + | 0.799861i | |||||
−29.2484 | + | 19.5432i | −1.78997 | + | 1.19602i | |||||
−1.39040 | −0.0849325 | |||||||||
−22.7608 | + | 15.2083i | −1.38775 | + | 0.927266i | −0.387767 | + | 0.921757i | ||
−0.999985 | + | 0.00550888i | ||||||||
0 | 0 | |||||||||
17.4427i | 1.05957i | 0.848132 | + | 0.529785i | ||||||
−0.848132 | + | 0.529785i | ||||||||
−2.98843 | − | 2.84065i | −0.181200 | − | 0.172240i | |||||
6.81819 | − | 6.81819i | 0.412656 | − | 0.412656i | |||||
−1.98803 | + | 0.823469i | −0.120101 | + | 0.0497476i | |||||
0 | 0 | |||||||||
8.09156 | − | 8.09156i | 0.487055 | − | 0.487055i | |||||
−12.6377 | − | 18.9137i | −0.759327 | − | 1.13641i | −0.986692 | − | 0.162603i | ||
0.227365 | − | 0.973810i | ||||||||
−19.1022 | + | 3.79967i | −1.14568 | + | 0.227889i | |||||
−1.74945 | − | 8.79506i | −0.104737 | − | 0.526546i | |||||
0 | 0 | |||||||||
−3.35617 | + | 8.10250i | −0.200212 | + | 0.483355i | −0.991815 | − | 0.127681i | ||
0.791603 | + | 0.611035i | ||||||||
13.2161 | − | 19.7792i | 0.787005 | − | 1.17784i | |||||
4.18603 | + | 21.0446i | 0.248834 | + | 1.25097i | 0.879869 | + | 0.475216i | ||
−0.631035 | + | 0.775754i | ||||||||
−8.35023 | − | 1.66096i | −0.495495 | − | 0.0985600i | |||||
0 | 0 | |||||||||
3.82736 | + | 5.72804i | 0.226316 | + | 0.338706i | |||||
7.47300 | + | 3.09542i | 0.441117 | + | 0.182717i | |||||
1.43181 | + | 1.43181i | 0.0843701 | + | 0.0843701i | |||||
−0.861383 | − | 16.9782i | −0.0506696 | − | 0.998715i | |||||
0 | 0 | |||||||||
−9.65227 | − | 23.3026i | −0.565826 | − | 1.36603i | |||||
4.50836 | + | 0.896768i | 0.263832 | + | 0.0524794i | |||||
− | 30.1287i | − | 1.76014i | −0.474847 | − | 0.880068i | ||||
0.474847 | − | 0.880068i | ||||||||
0.665823 | − | 3.34732i | 0.0388316 | − | 0.195219i | |||||
0 | 0 | |||||||||
−1.64915 | + | 0.328036i | −0.0958549 | + | 0.0190667i | |||||
−3.13537 | − | 7.56945i | −0.181933 | − | 0.439224i | |||||
−7.28713 | − | 17.5927i | −0.422132 | − | 1.01912i | |||||
−9.20213 | + | 1.83042i | −0.532173 | + | 0.105856i | |||||
0 | 0 | |||||||||
−1.10541 | + | 5.55726i | −0.0637146 | + | 0.320315i | |||||
− | 5.59924i | − | 0.322200i | |||||||
36.0801 | + | 7.17677i | 2.07275 | + | 0.412295i | |||||
2.56542 | + | 6.19346i | 0.147137 | + | 0.355219i | |||||
0 | 0 | |||||||||
0.211583 | + | 8.34613i | 0.0120954 | + | 0.477116i | |||||
3.26677 | + | 3.26677i | 0.186445 | + | 0.186445i | 0.794157 | − | 0.607713i | ||
−0.607713 | + | 0.794157i | ||||||||
−8.10467 | − | 3.35707i | −0.461807 | − | 0.191287i | |||||
19.7930 | + | 29.6223i | 1.12598 | + | 1.68515i | |||||
0 | 0 | |||||||||
21.3083 | + | 4.23849i | 1.20828 | + | 0.240343i | 0.757827 | − | 0.652455i | ||
0.450457 | + | 0.892798i | ||||||||
−0.803765 | − | 4.04080i | −0.0455042 | − | 0.228765i | |||||
−11.6411 | + | 17.4221i | −0.657993 | + | 0.984757i | 0.341007 | + | 0.940061i | ||
−0.999001 | + | 0.0446961i | ||||||||
−0.933309 | + | 2.25321i | −0.0526697 | + | 0.127156i | |||||
0 | 0 | |||||||||
1.00579 | + | 5.05643i | 0.0565799 | + | 0.284446i | |||||
5.61256 | − | 1.11641i | 0.315233 | − | 0.0627037i | −0.0349384 | − | 0.999389i | ||
0.350171 | + | 0.936686i | ||||||||
2.38455 | + | 3.56873i | 0.133719 | + | 0.200124i | |||||
1.61811 | − | 1.61811i | 0.0905967 | − | 0.0905967i | |||||
0 | 0 | |||||||||
−1.65949 | + | 0.687384i | −0.0926238 | + | 0.0383660i | |||||
8.44812 | − | 8.44812i | 0.470795 | − | 0.470795i | |||||
−9.92692 | + | 25.7962i | −0.552349 | + | 1.43534i | |||||
10.9745i | 0.609694i | |||||||||
0 | 0 | |||||||||
5.99898 | − | 4.00839i | 0.332253 | − | 0.222004i | |||||
31.1889 | 1.72475 | |||||||||
2.87366 | − | 1.92012i | 0.158671 | − | 0.106021i | |||||
13.7984 | − | 20.6508i | 0.760732 | − | 1.13852i | |||||
0 | 0 | |||||||||
−27.3797 | − | 11.3411i | −1.50493 | − | 0.623361i | −0.530423 | − | 0.847733i | ||
−0.974503 | + | 0.224372i | ||||||||
12.9133 | − | 5.34887i | 0.708710 | − | 0.293557i | |||||
2.83095 | + | 1.89158i | 0.155135 | + | 0.103658i | |||||
−12.7964 | − | 8.55028i | −0.700188 | − | 0.467851i | |||||
0 | 0 | |||||||||
3.70970 | + | 3.70970i | 0.202381 | + | 0.202381i | |||||
−6.41803 | + | 32.2656i | −0.349612 | + | 1.75762i | 0.260662 | + | 0.965430i | ||
−0.610275 | + | 0.792190i | ||||||||
3.68218 | − | 8.88956i | 0.200284 | − | 0.483528i | |||||
0.328614 | 0.0178479 | |||||||||
0 | 0 | |||||||||
16.5995 | 0.898912 | |||||||||
5.19467 | − | 12.5410i | 0.280895 | − | 0.678142i | |||||
3.89129 | − | 19.5629i | 0.210110 | − | 1.05629i | |||||
1.71191 | + | 1.71191i | 0.0923000 | + | 0.0923000i | |||||
0 | 0 | |||||||||
2.52491 | + | 1.68709i | 0.135740 | + | 0.0906985i | |||||
−16.3048 | − | 10.8945i | −0.875290 | − | 0.584850i | 0.0347382 | − | 0.999396i | ||
−0.910028 | + | 0.414546i | ||||||||
−1.26436 | + | 0.523716i | −0.0677770 | + | 0.0280741i | |||||
8.38547 | + | 3.47337i | 0.448864 | + | 0.185925i | 0.595652 | − | 0.803242i | ||
−0.146788 | + | 0.989168i | ||||||||
0 | 0 | |||||||||
2.23197 | − | 3.34038i | 0.119134 | − | 0.178297i | |||||
−3.11656 | + | 2.08242i | −0.166113 | + | 0.110993i | |||||
30.7498 | 1.63665 | 0.818323 | − | 0.574759i | ||||||
0.818323 | + | 0.574759i | ||||||||
23.6787 | − | 15.8216i | 1.25851 | − | 0.840907i | |||||
0 | 0 | |||||||||
15.6925i | 0.831702i | |||||||||
0.548195 | + | 21.6241i | 0.0290136 | + | 1.14447i | |||||
9.69278 | − | 9.69278i | 0.512279 | − | 0.512279i | |||||
−14.0992 | + | 5.84010i | −0.744129 | + | 0.308228i | −0.722344 | − | 0.691534i | ||
−0.0217856 | + | 0.999763i | ||||||||
0 | 0 | |||||||||
18.3426 | − | 18.3426i | 0.965399 | − | 0.965399i | |||||
5.41668 | + | 8.10663i | 0.284694 | + | 0.426075i | |||||
−6.70433 | + | 1.33357i | −0.351886 | + | 0.0699945i | |||||
−0.839184 | − | 4.21886i | −0.0439852 | − | 0.221128i | |||||
0 | 0 | |||||||||
5.68608 | − | 13.7274i | 0.297216 | − | 0.717543i | |||||
−18.3527 | + | 27.4667i | −0.958003 | + | 1.43375i | −0.0577767 | + | 0.998330i | ||
−0.900226 | + | 0.435423i | ||||||||
−0.995910 | − | 5.00678i | −0.0519154 | − | 0.260996i | |||||
−6.86377 | − | 1.36529i | −0.357313 | − | 0.0710741i | |||||
0 | 0 | |||||||||
2.48963 | + | 3.72599i | 0.129255 | + | 0.193444i | |||||
−9.17156 | − | 3.79898i | −0.475523 | − | 0.196968i | |||||
−2.61742 | − | 2.61742i | −0.135525 | − | 0.135525i | 0.636090 | − | 0.771615i | ||
−0.771615 | + | 0.636090i | ||||||||
−15.2290 | − | 2.62991i | −0.787475 | − | 0.135989i | |||||
0 | 0 | |||||||||
−4.06106 | − | 9.80427i | −0.209433 | − | 0.505617i | |||||
1.10052 | + | 0.218907i | 0.0566796 | + | 0.0112743i | |||||
5.11576i | 0.263126i | |||||||||
1.01649 | − | 5.11024i | 0.0522136 | − | 0.262495i | −0.945857 | − | 0.324583i | ||
0.998071 | + | 0.0620880i | ||||||||
0 | 0 | |||||||||
46.9188 | − | 9.33274i | 2.40373 | − | 0.478131i | |||||
−7.05974 | − | 17.0437i | −0.361208 | − | 0.872033i | |||||
−0.781961 | − | 1.88782i | −0.0399564 | − | 0.0964632i | 0.902642 | − | 0.430393i | ||
−0.942598 | + | 0.333930i | ||||||||
2.19855 | − | 0.437319i | 0.112194 | − | 0.0223169i | |||||
0 | 0 | |||||||||
−4.06249 | + | 20.4235i | −0.206775 | + | 1.03953i | |||||
− | 4.90226i | − | 0.249196i | |||||||
−11.0357 | − | 2.19514i | −0.560254 | − | 0.111441i | |||||
−1.19281 | − | 2.87969i | −0.0604777 | − | 0.146006i | 0.890752 | − | 0.454490i | ||
−0.951230 | + | 0.308484i | ||||||||
0 | 0 | |||||||||
11.2463 | − | 17.7914i | 0.568750 | − | 0.899750i | |||||
−1.07658 | − | 1.07658i | −0.0543753 | − | 0.0543753i | |||||
26.7398 | + | 11.0760i | 1.34885 | + | 0.558710i | |||||
2.35217 | + | 3.52027i | 0.118500 | + | 0.177348i | |||||
0 | 0 | |||||||||
7.44395 | + | 1.48069i | 0.374072 | + | 0.0744076i | |||||
1.62321 | + | 8.16045i | 0.0814668 | + | 0.409561i | 0.999902 | + | 0.0139900i | ||
−0.918435 | + | 0.395571i | ||||||||
−14.6373 | + | 21.9062i | −0.733700 | + | 1.09806i | |||||
13.4590 | − | 32.4928i | 0.673791 | − | 1.62668i | |||||
0 | 0 | |||||||||
3.90028 | + | 19.6080i | 0.194771 | + | 0.979178i | 0.947234 | + | 0.320544i | ||
−0.752463 | + | 0.658635i | ||||||||
3.05688 | − | 0.608051i | 0.152463 | − | 0.0303268i | |||||
4.52204 | + | 6.76771i | 0.225259 | + | 0.337124i | |||||
11.6042 | − | 11.6042i | 0.577331 | − | 0.577331i | |||||
0 | 0 | |||||||||
−1.32008 | + | 0.546794i | −0.0655144 | + | 0.0271369i | |||||
−4.45657 | + | 4.45657i | −0.220904 | + | 0.220904i | |||||
7.81249 | + | 4.93843i | 0.386776 | + | 0.244489i | |||||
− | 30.7813i | − | 1.52203i | −0.648731 | − | 0.761017i | ||||
0.648731 | − | 0.761017i | ||||||||
0 | 0 | |||||||||
4.01067 | − | 2.67985i | 0.197832 | − | 0.132187i | |||||
15.8931 | 0.782997 | |||||||||
24.7221 | − | 16.5188i | 1.21649 | − | 0.812835i | |||||
−5.74279 | + | 8.59470i | −0.282243 | + | 0.422406i | |||||
0 | 0 | |||||||||
−1.69803 | − | 0.703348i | −0.0832529 | − | 0.0344845i | |||||
40.3356 | − | 16.7076i | 1.97524 | − | 0.818173i | |||||
20.8927 | + | 13.9600i | 1.02189 | + | 0.682808i | |||||
−12.4734 | − | 8.33444i | −0.609364 | − | 0.407164i | 0.212244 | − | 0.977217i | ||
−0.821608 | + | 0.570053i | ||||||||
0 | 0 | |||||||||
9.43644 | + | 9.43644i | 0.459904 | + | 0.459904i | 0.898624 | − | 0.438720i | ||
−0.438720 | + | 0.898624i | ||||||||
−4.33527 | + | 21.7949i | −0.211038 | + | 1.06096i | |||||
−8.22318 | + | 19.8525i | −0.399825 | + | 0.965262i | |||||
1.91472 | 0.0929868 | |||||||||
0 | 0 | |||||||||
19.0848 | 0.924661 | |||||||||
5.93664 | − | 14.3323i | 0.287294 | − | 0.693589i | |||||
−0.156326 | + | 0.785906i | −0.00755632 | + | 0.0379882i | |||||
−10.9196 | − | 10.9196i | −0.527205 | − | 0.527205i | |||||
0 | 0 | |||||||||
−0.709006 | − | 0.473743i | −0.0341516 | − | 0.0228194i | 0.538377 | − | 0.842704i | ||
−0.572529 | + | 0.819885i | ||||||||
1.81746 | + | 1.21439i | 0.0874428 | + | 0.0584274i | |||||
8.69207 | − | 3.60038i | 0.417714 | − | 0.173023i | −0.163919 | − | 0.986474i | ||
0.581634 | + | 0.813451i | ||||||||
−9.57571 | − | 3.96639i | −0.459649 | − | 0.190393i | |||||
0 | 0 | |||||||||
7.72993 | − | 11.5687i | 0.370197 | − | 0.554038i | |||||
−28.4544 | + | 19.0126i | −1.36116 | + | 0.909496i | |||||
−10.3040 | −0.492346 | |||||||||
−21.0410 | + | 14.0592i | −1.00423 | + | 0.671007i | −0.944944 | − | 0.327233i | ||
−0.0592901 | + | 0.998241i | ||||||||
0 | 0 | |||||||||
3.08290i | 0.146805i | |||||||||
−3.07648 | − | 6.92542i | −0.146333 | − | 0.329409i | |||||
15.8653 | − | 15.8653i | 0.753785 | − | 0.753785i | −0.221398 | − | 0.975184i | ||
0.975184 | + | 0.221398i | ||||||||
3.48229 | − | 1.44241i | 0.165262 | − | 0.0684538i | |||||
0 | 0 | |||||||||
9.10058 | − | 9.10058i | 0.430925 | − | 0.430925i | |||||
23.7147 | + | 35.4916i | 1.12167 | + | 1.67870i | |||||
2.29543 | − | 0.456590i | 0.108449 | − | 0.0215719i | |||||
−4.30949 | − | 21.6653i | −0.203378 | − | 1.02245i | −0.938701 | − | 0.344732i | ||
0.735324 | − | 0.677716i | ||||||||
0 | 0 | |||||||||
4.95744 | − | 11.9683i | 0.233437 | − | 0.563566i | |||||
0.0814446 | − | 0.121890i | 0.00383083 | − | 0.00573325i | |||||
2.44866 | + | 12.3102i | 0.115048 | + | 0.578385i | |||||
25.0933 | + | 4.99137i | 1.17769 | + | 0.234257i | |||||
0 | 0 | |||||||||
−8.34872 | − | 12.4947i | −0.390965 | − | 0.585120i | |||||
−12.0290 | − | 4.98260i | −0.562695 | − | 0.233076i | 0.0831596 | − | 0.996536i | ||
−0.645855 | + | 0.763460i | ||||||||
8.83647 | + | 8.83647i | 0.412901 | + | 0.412901i | |||||
1.98170 | + | 8.79191i | 0.0924976 | + | 0.410371i | |||||
0 | 0 | |||||||||
−1.87457 | − | 4.52561i | −0.0873073 | − | 0.210779i | 0.874195 | − | 0.485575i | ||
−0.961503 | + | 0.274796i | ||||||||
19.2867 | + | 3.83636i | 0.897297 | + | 0.178483i | |||||
− | 5.65812i | − | 0.262955i | −0.991319 | − | 0.131478i | ||||
0.991319 | − | 0.131478i | ||||||||
−0.119105 | + | 0.598780i | −0.00552930 | + | 0.0277977i | |||||
0 | 0 | |||||||||
6.94554 | − | 1.38155i | 0.321746 | − | 0.0639992i | |||||
10.5662 | + | 25.5090i | 0.488944 | + | 1.18042i | 0.955252 | + | 0.295793i | ||
−0.466308 | + | 0.884622i | ||||||||
1.42420 | + | 3.43832i | 0.0658335 | + | 0.158936i | |||||
3.19158 | − | 0.634845i | 0.147373 | − | 0.0293144i | |||||
0 | 0 | |||||||||
1.06656 | − | 5.36195i | 0.0491444 | − | 0.247066i | |||||
− | 12.7042i | − | 0.584759i | |||||||
8.90019 | + | 1.77036i | 0.409231 | + | 0.0814011i | |||||
−4.42255 | − | 10.6770i | −0.203134 | − | 0.490409i | |||||
0 | 0 | |||||||||
8.15675 | + | 5.15604i | 0.373864 | + | 0.236327i | |||||
−2.74151 | − | 2.74151i | −0.125525 | − | 0.125525i | |||||
−18.1175 | − | 7.50450i | −0.828673 | − | 0.343248i | |||||
1.20322 | + | 1.80075i | 0.0549767 | + | 0.0822784i | 0.857940 | − | 0.513751i | ||
−0.802963 | + | 0.596029i | ||||||||
0 | 0 | |||||||||
−3.03103 | − | 0.602910i | −0.138203 | − | 0.0274903i | |||||
−0.924362 | − | 4.64708i | −0.0421035 | − | 0.211669i | |||||
−14.8791 | + | 22.2682i | −0.677023 | + | 1.01324i | |||||
−1.16697 | + | 2.81731i | −0.0530439 | + | 0.128059i | |||||
0 | 0 | |||||||||
−3.52005 | − | 17.6965i | −0.159673 | − | 0.802728i | |||||
34.1092 | − | 6.78474i | 1.54564 | − | 0.307446i | 0.652695 | − | 0.757620i | ||
0.892941 | + | 0.450174i | ||||||||
−3.68255 | − | 5.51133i | −0.166701 | − | 0.249486i | |||||
−11.4361 | + | 11.4361i | −0.517159 | + | 0.517159i | |||||
0 | 0 | |||||||||
1.19271 | − | 0.494037i | 0.0538263 | − | 0.0222956i | −0.355608 | − | 0.934635i | ||
0.409434 | + | 0.912340i | ||||||||
−5.47818 | + | 5.47818i | −0.246976 | + | 0.246976i | |||||
−2.05686 | + | 1.45107i | −0.0926364 | + | 0.0653531i | |||||
12.3211i | 0.554351i | |||||||||
0 | 0 | |||||||||
−3.68223 | + | 2.46039i | −0.165337 | + | 0.110475i | |||||
19.9258 | 0.893793 | |||||||||
−26.0514 | + | 17.4070i | −1.16739 | + | 0.780026i | |||||
6.25854 | − | 9.36656i | 0.280171 | − | 0.419305i | −0.664519 | − | 0.747272i | ||
0.944689 | + | 0.327967i | ||||||||
0 | 0 | |||||||||
31.8728 | + | 13.2021i | 1.42397 | + | 0.589828i | |||||
−2.07213 | + | 0.858306i | −0.0924839 | + | 0.0383081i | |||||
−2.04917 | − | 1.36921i | −0.0913680 | − | 0.0610501i | 0.509047 | − | 0.860739i | ||
−0.600415 | + | 0.799689i | ||||||||
−3.94037 | − | 2.63287i | −0.175518 | − | 0.117277i | |||||
0 | 0 | |||||||||
−13.5300 | − | 13.5300i | −0.601483 | − | 0.601483i | |||||
−4.20788 | + | 21.1545i | −0.186879 | + | 0.939502i | |||||
8.16676 | − | 19.7163i | 0.362342 | − | 0.874770i | |||||
0.909764 | 0.0403246 | 0.0201623 | − | 0.999797i | ||||||
0.0201623 | + | 0.999797i | ||||||||
0 | 0 | |||||||||
−10.7581 | −0.475910 | |||||||||
0.382683 | − | 0.923880i | 0.0169124 | − | 0.0408301i | |||||
2.85873 | − | 14.3718i | 0.126216 | − | 0.634531i | |||||
4.64221 | + | 4.64221i | 0.204759 | + | 0.204759i | |||||
0 | 0 | |||||||||
−4.51238 | − | 3.01507i | −0.198646 | − | 0.132731i | |||||
−33.0732 | − | 22.0988i | −1.45456 | − | 0.971904i | |||||
3.63574 | − | 1.50597i | 0.159745 | − | 0.0661686i | |||||
−6.28894 | − | 2.60496i | −0.276054 | − | 0.114345i | |||||
0 | 0 | |||||||||
−11.4721 | + | 17.1692i | −0.502603 | + | 0.752198i | −0.992848 | − | 0.119386i | ||
0.490245 | + | 0.871585i | ||||||||
1.02787 | − | 0.686803i | 0.0449888 | − | 0.0300606i | |||||
−36.0415 | −1.57599 | −0.787993 | − | 0.615684i | ||||||
−0.787993 | + | 0.615684i | ||||||||
10.7356 | − | 7.17330i | 0.468987 | − | 0.313367i | |||||
0 | 0 | |||||||||
− | 5.13429i | − | 0.223866i | |||||||
−17.9932 | − | 3.10725i | −0.783796 | − | 0.135354i | |||||
5.94124 | − | 5.94124i | 0.258559 | − | 0.258559i | |||||
2.82674 | − | 1.17087i | 0.122902 | − | 0.0509075i | |||||
0 | 0 | |||||||||
−18.1900 | + | 18.1900i | −0.789379 | + | 0.789379i | |||||
−8.71662 | − | 13.0453i | −0.377913 | − | 0.565587i | |||||
6.23007 | − | 1.23924i | 0.269854 | − | 0.0536774i | |||||
−6.86264 | − | 34.5008i | −0.296976 | − | 1.49300i | |||||
0 | 0 | |||||||||
0.532085 | − | 1.28457i | 0.0229826 | − | 0.0554848i | |||||
−17.0712 | + | 25.5489i | −0.736678 | + | 1.10252i | |||||
−5.34044 | − | 26.8482i | −0.230243 | − | 1.15751i | |||||
−5.59710 | − | 1.11333i | −0.241084 | − | 0.0479546i | |||||
0 | 0 | |||||||||
23.7268 | + | 35.5096i | 1.02009 | + | 1.52668i | 0.839677 | + | 0.543086i | ||
0.180416 | + | 0.983590i | ||||||||
−16.1150 | − | 6.67504i | −0.692197 | − | 0.286717i | |||||
−15.4540 | − | 15.4540i | −0.663196 | − | 0.663196i | |||||
3.76804 | − | 1.67388i | 0.161553 | − | 0.0717668i | |||||
0 | 0 | |||||||||
3.68998 | + | 8.90840i | 0.157917 | + | 0.381244i | |||||
16.4468 | + | 3.27148i | 0.703216 | + | 0.139878i | 0.533731 | − | 0.845655i | ||
0.169485 | + | 0.985533i | ||||||||
− | 2.15183i | − | 0.0919216i | |||||||
−2.61846 | + | 13.1639i | −0.111753 | + | 0.561821i | |||||
0 | 0 | |||||||||
4.01407 | − | 0.798449i | 0.171005 | − | 0.0340151i | |||||
4.37912 | + | 10.5721i | 0.186388 | + | 0.449980i | |||||
−4.61743 | − | 11.1475i | −0.196353 | − | 0.474038i | |||||
22.3102 | − | 4.43778i | 0.947870 | − | 0.188543i | |||||
0 | 0 | |||||||||
3.79967 | − | 19.1022i | 0.161142 | − | 0.810116i | |||||
− | 27.0952i | − | 1.14806i | −0.818835 | − | 0.574029i | ||||
0.818835 | − | 0.574029i | ||||||||
8.79506 | + | 1.74945i | 0.372325 | + | 0.0740600i | |||||
1.70281 | + | 4.11095i | 0.0720212 | + | 0.173874i | |||||
0 | 0 | |||||||||
34.6320 | − | 0.877958i | 1.46216 | − | 0.0370674i | |||||
−6.20139 | − | 6.20139i | −0.261590 | − | 0.261590i | |||||
−14.8543 | − | 6.15287i | −0.626036 | − | 0.259313i | 0.0470317 | − | 0.998893i | ||
−0.673068 | + | 0.739581i | ||||||||
13.2161 | + | 19.7792i | 0.556497 | + | 0.832856i | |||||
0 | 0 | |||||||||
−21.0446 | − | 4.18603i | −0.884570 | − | 0.175952i | |||||
−5.01085 | − | 25.1912i | −0.210436 | − | 1.05793i | |||||
4.73002 | − | 7.07898i | 0.198467 | − | 0.297027i | |||||
−8.22349 | + | 19.8533i | −0.344747 | + | 0.832292i | 0.652476 | + | 0.757810i | ||
−0.997222 | + | 0.0744822i | ||||||||
0 | 0 | |||||||||
0.517900 | + | 2.60366i | 0.0216735 | + | 0.108960i | 0.990108 | − | 0.140309i | ||
−0.968434 | + | 0.249269i | ||||||||
−6.75669 | + | 1.34399i | −0.282511 | + | 0.0561950i | |||||
22.9748 | + | 34.3842i | 0.959785 | + | 1.43642i | |||||
−5.71958 | + | 5.71958i | −0.238731 | + | 0.238731i | |||||
0 | 0 | |||||||||
−1.87075 | + | 0.774889i | −0.0779478 | + | 0.0322871i | |||||
−13.7472 | + | 13.7472i | −0.572302 | + | 0.572302i | −0.932771 | − | 0.360469i | ||
0.360469 | + | 0.932771i | ||||||||
16.0154 | + | 5.70145i | 0.666153 | + | 0.237149i | |||||
− | 46.6788i | − | 1.93990i | |||||||
0 | 0 | |||||||||
−27.1994 | + | 18.1741i | −1.12842 | + | 0.753987i | |||||
25.2226 | 1.04551 | |||||||||
5.96733 | − | 3.98724i | 0.247141 | − | 0.165135i | |||||
−2.55378 | + | 3.82200i | −0.105676 | + | 0.158155i | |||||
0 | 0 | |||||||||
27.8353 | + | 11.5297i | 1.14986 | + | 0.476289i | |||||
−34.6515 | + | 14.3531i | −1.43022 | + | 0.592416i | −0.957406 | − | 0.288746i | ||
−0.472814 | + | 0.881162i | ||||||||
2.83772 | + | 1.89610i | 0.117026 | + | 0.0781940i | |||||
24.6848 | + | 16.4938i | 1.01712 | + | 0.679617i | |||||
0 | 0 | |||||||||
−6.71084 | − | 6.71084i | −0.276047 | − | 0.276047i | |||||
0.328036 | − | 1.64915i | 0.0134822 | − | 0.0677797i | |||||
−12.9310 | + | 31.2183i | −0.531014 | + | 1.28198i | 0.399838 | + | 0.916586i | ||
−0.930852 | + | 0.365396i | ||||||||
8.19311 | 0.336168 | |||||||||
0 | 0 | |||||||||
19.0422 | 0.779998 | |||||||||
22.6008 | − | 54.5632i | 0.924989 | − | 2.23312i | |||||
1.83042 | − | 9.20213i | 0.0748514 | − | 0.376303i | |||||
−9.94392 | − | 9.94392i | −0.406297 | − | 0.406297i | 0.474148 | − | 0.880445i | ||
−0.880445 | + | 0.474148i | ||||||||
0 | 0 | |||||||||
−11.0793 | − | 7.40292i | −0.451932 | − | 0.301972i | 0.308694 | − | 0.951161i | ||
−0.760626 | + | 0.649190i | ||||||||
−4.71122 | − | 3.14793i | −0.192015 | − | 0.128300i | |||||
−2.60110 | + | 1.07741i | −0.105925 | + | 0.0438755i | |||||
5.17302 | + | 2.14274i | 0.210487 | + | 0.0871867i | |||||
0 | 0 | |||||||||
−20.4377 | + | 30.5872i | −0.830226 | + | 1.24252i | |||||
30.4622 | − | 20.3542i | 1.23642 | − | 0.826152i | 0.246693 | − | 0.969094i | ||
0.989731 | + | 0.142942i | ||||||||
−6.70375 | −0.271873 | |||||||||
2.66314 | − | 1.77945i | 0.107916 | − | 0.0721070i | |||||
0 | 0 | |||||||||
− | 19.5043i | − | 0.789060i | |||||||
−7.79178 | − | 2.99845i | −0.314964 | − | 0.121205i | |||||
−14.5991 | + | 14.5991i | −0.589652 | + | 0.589652i | −0.937537 | − | 0.347885i | ||
0.347885 | + | 0.937537i | ||||||||
−4.26824 | + | 1.76796i | −0.172252 | + | 0.0713493i | |||||
0 | 0 | |||||||||
6.20305 | − | 6.20305i | 0.249928 | − | 0.249928i | |||||
−12.4489 | − | 18.6311i | −0.501174 | − | 0.750060i | 0.491501 | − | 0.870877i | ||
−0.992675 | + | 0.120817i | ||||||||
−34.9418 | + | 6.95036i | −1.40557 | + | 0.279585i | |||||
6.26244 | + | 31.4834i | 0.251709 | + | 1.26543i | 0.875264 | + | 0.483646i | ||
−0.623555 | + | 0.781780i | ||||||||
0 | 0 | |||||||||
−4.27015 | + | 10.3091i | −0.171355 | + | 0.413688i | |||||
−12.0702 | + | 18.0643i | −0.483971 | + | 0.724314i | |||||
−7.16505 | − | 36.0211i | −0.287062 | − | 1.44316i | |||||
4.04080 | + | 0.803765i | 0.161761 | + | 0.0321764i | |||||
0 | 0 | |||||||||
−11.6411 | − | 17.4221i | −0.465272 | − | 0.696328i | |||||
−52.0386 | − | 21.5551i | −2.07822 | − | 0.860828i | |||||
−1.72453 | − | 1.72453i | −0.0688163 | − | 0.0688163i | |||||
5.66498 | − | 3.99653i | 0.225877 | − | 0.159352i | |||||
0 | 0 | |||||||||
−10.6606 | − | 25.7369i | −0.424390 | − | 1.02457i | −0.981037 | − | 0.193819i | ||
0.556647 | − | 0.830749i | ||||||||
−5.05643 | − | 1.00579i | −0.201134 | − | 0.0400080i | |||||
− | 49.8131i | − | 1.97989i | |||||||
−1.11641 | + | 5.61256i | −0.0443382 | + | 0.222903i | |||||
0 | 0 | |||||||||
−4.20960 | + | 0.837342i | −0.166922 | + | 0.0332028i | |||||
−1.07085 | − | 2.58527i | −0.0424288 | − | 0.102432i | |||||
0.875714 | + | 2.11416i | 0.0346699 | + | 0.0837004i | |||||
−16.9082 | + | 3.36326i | −0.668879 | + | 0.133048i | |||||
0 | 0 | |||||||||
−3.83093 | + | 19.2594i | −0.151313 | + | 0.760700i | 0.828376 | + | 0.560173i | ||
−0.979688 | + | 0.200527i | ||||||||
− | 1.79622i | − | 0.0708912i | |||||||
9.58258 | + | 1.90609i | 0.377900 | + | 0.0751690i | 0.380386 | − | 0.924828i | ||
−0.00248571 | + | 0.999997i | ||||||||
4.57209 | + | 11.0380i | 0.180166 | + | 0.434958i | |||||
0 | 0 | |||||||||
−20.0337 | − | 19.0430i | −0.788214 | − | 0.749238i | |||||
3.93429 | + | 3.93429i | 0.154673 | + | 0.154673i | 0.780201 | − | 0.625528i | ||
−0.625528 | + | 0.780201i | ||||||||
−10.1391 | − | 4.19976i | −0.398302 | − | 0.164982i | |||||
−26.4555 | − | 39.5935i | −1.03847 | − | 1.55418i | |||||
0 | 0 | |||||||||
22.7873 | + | 4.53267i | 0.893104 | + | 0.177649i | |||||
1.40756 | + | 7.07627i | 0.0551242 | + | 0.277128i | |||||
1.42563 | − | 2.13360i | 0.0557891 | − | 0.0834942i | −0.802526 | − | 0.596617i | ||
0.858315 | + | 0.513122i | ||||||||
−11.9355 | + | 28.8148i | −0.466714 | + | 1.12675i | |||||
0 | 0 | |||||||||
0.674255 | + | 3.38971i | 0.0263252 | + | 0.132346i | |||||
9.12889 | − | 1.81585i | 0.356152 | − | 0.0708431i | |||||
13.7984 | + | 20.6508i | 0.537919 | + | 0.805053i | |||||
−20.6837 | + | 20.6837i | −0.805724 | + | 0.805724i | −0.983984 | − | 0.178259i | ||
0.178259 | + | 0.983984i | ||||||||
0 | 0 | |||||||||
20.8000 | − | 8.61565i | 0.809027 | − | 0.335110i | 0.0604611 | − | 0.998171i | ||
0.748566 | + | 0.663061i | ||||||||
20.9555 | − | 20.9555i | 0.814460 | − | 0.814460i | |||||
9.79242 | + | 13.8805i | 0.380306 | + | 0.539074i | |||||
13.9773i | 0.542423i | |||||||||
0 | 0 | |||||||||
−2.83095 | + | 1.89158i | −0.109697 | + | 0.0732973i | |||||
−3.11657 | −0.120674 | |||||||||
12.7964 | − | 8.55028i | 0.495108 | − | 0.330820i | |||||
−16.0283 | + | 23.9880i | −0.619688 | + | 0.927429i | |||||
0 | 0 | |||||||||
−22.9538 | − | 9.50778i | −0.886122 | − | 0.367044i | |||||
−4.84696 | + | 2.00768i | −0.186975 | + | 0.0774478i | |||||
−24.0812 | − | 16.0905i | −0.928260 | − | 0.620244i | −0.00317165 | − | 0.999995i | ||
−0.925089 | + | 0.379751i | ||||||||
−27.3535 | − | 18.2770i | −1.05362 | − | 0.704004i | |||||
0 | 0 | |||||||||
6.80377 | + | 6.80377i | 0.261684 | + | 0.261684i | |||||
−2.97809 | + | 14.9719i | −0.114457 | + | 0.575416i | 0.880409 | + | 0.474216i | ||
−0.994866 | + | 0.101200i | ||||||||
−0.125755 | + | 0.303600i | −0.00482960 | + | 0.0116597i | |||||
26.3341 | 1.01061 | |||||||||
0 | 0 | |||||||||
−57.3518 | −2.19773 | |||||||||
−6.35234 | + | 15.3359i | −0.243244 | + | 0.587242i | |||||
2.38725 | − | 12.0015i | 0.0913457 | − | 0.459226i | −0.907856 | − | 0.419282i | ||
0.999202 | − | 0.0399442i | ||||||||
9.59849 | + | 9.59849i | 0.367008 | + | 0.367008i | |||||
0 | 0 | |||||||||
16.5846 | + | 11.0815i | 0.633203 | + | 0.423092i | |||||
−23.2918 | − | 15.5631i | −0.888638 | − | 0.593769i | |||||
−2.23672 | + | 0.926479i | −0.0852741 | + | 0.0353217i | |||||
3.25125 | + | 1.34671i | 0.123863 | + | 0.0513056i | |||||
0 | 0 | |||||||||
2.95856 | − | 4.42779i | 0.112549 | − | 0.168441i | −0.770919 | − | 0.636933i | ||
0.883468 | + | 0.468492i | ||||||||
−2.52491 | + | 1.68709i | −0.0959826 | + | 0.0641335i | |||||
−17.7632 | −0.674767 | |||||||||
16.3048 | − | 10.8945i | 0.618923 | − | 0.413551i | |||||
0 | 0 | |||||||||
− | 1.36854i | − | 0.0518742i | |||||||
−7.61403 | + | 12.0452i | −0.288402 | + | 0.456245i | |||||
−6.41796 | + | 6.41796i | −0.242923 | + | 0.242923i | |||||
−14.6659 | + | 6.07483i | −0.554717 | + | 0.229771i | |||||
0 | 0 | |||||||||
20.0755 | − | 20.0755i | 0.758242 | − | 0.758242i | −0.217760 | − | 0.976002i | ||
0.976002 | + | 0.217760i | ||||||||
2.23197 | + | 3.34038i | 0.0842404 | + | 0.126075i | |||||
−11.0555 | + | 2.19908i | −0.416966 | + | 0.0829397i | |||||
−0.731249 | − | 3.67624i | −0.0275600 | − | 0.138553i | |||||
0 | 0 | |||||||||
−11.7674 | + | 28.4091i | −0.442873 | + | 1.06919i | |||||
−21.3383 | + | 31.9351i | −0.802510 | + | 1.20104i | |||||
5.55580 | + | 27.9309i | 0.208800 | + | 1.04971i | |||||
4.13454 | + | 0.822411i | 0.155276 | + | 0.0308863i | 0.272116 | − | 0.962264i | ||
−0.116840 | + | 0.993151i | ||||||||
0 | 0 | |||||||||
5.79974 | + | 8.67993i | 0.217507 | + | 0.325523i | |||||
−14.4980 | − | 6.00527i | −0.543335 | − | 0.225057i | |||||
−15.9858 | − | 15.9858i | −0.598672 | − | 0.598672i | |||||
−20.1879 | − | 7.76873i | −0.755512 | − | 0.290738i | |||||
0 | 0 | |||||||||
5.24569 | + | 12.6642i | 0.196041 | + | 0.473284i | |||||
43.1141 | + | 8.57592i | 1.61012 | + | 0.320274i | |||||
− | 15.2609i | − | 0.569532i | |||||||
−4.31495 | + | 21.6927i | −0.160921 | + | 0.809003i | 0.813026 | + | 0.582227i | ||
−0.973947 | + | 0.226776i | ||||||||
0 | 0 | |||||||||
−36.4816 | + | 7.25664i | −1.35865 | + | 0.270251i | |||||
9.92693 | + | 23.9657i | 0.369442 | + | 0.891913i | |||||
4.06452 | + | 9.81262i | 0.151161 | + | 0.364935i | |||||
−9.56242 | + | 1.90208i | −0.355385 | + | 0.0706904i | |||||
0 | 0 | |||||||||
1.33357 | − | 6.70433i | 0.0494936 | − | 0.248821i | |||||
− | 13.9898i | − | 0.518853i | −0.965763 | − | 0.259427i | ||||
0.965763 | − | 0.259427i | ||||||||
4.21886 | + | 0.839184i | 0.156361 | + | 0.0311022i | |||||
2.87875 | + | 6.94991i | 0.106620 | + | 0.257404i | |||||
0 | 0 | |||||||||
−9.31607 | − | 3.58503i | −0.344567 | − | 0.132597i | |||||
10.5065 | + | 10.5065i | 0.388332 | + | 0.388332i | |||||
−33.9907 | − | 14.0794i | −1.25548 | − | 0.520035i | −0.346958 | − | 0.937881i | ||
−0.908518 | + | 0.417845i | ||||||||
−18.3527 | − | 27.4667i | −0.677410 | − | 1.01382i | |||||
0 | 0 | |||||||||
5.00678 | + | 0.995910i | 0.184552 | + | 0.0367097i | |||||
−1.01673 | − | 5.11145i | −0.0374518 | − | 0.188283i | |||||
3.88801 | − | 5.81882i | 0.143120 | − | 0.214194i | |||||
−9.20457 | + | 22.2218i | −0.338596 | + | 0.817442i | 0.659255 | + | 0.751919i | ||
−0.997851 | + | 0.0655233i | ||||||||
0 | 0 | |||||||||
−5.38824 | − | 27.0885i | −0.197942 | − | 0.995122i | |||||
−4.39510 | + | 0.874240i | −0.161349 | + | 0.0320944i | |||||
3.30617 | + | 4.94803i | 0.121292 | + | 0.181526i | 0.887147 | − | 0.461487i | ||
−0.765855 | + | 0.643013i | ||||||||
7.01961 | − | 7.01961i | 0.257351 | − | 0.257351i | |||||
0 | 0 | |||||||||
3.41982 | − | 1.41654i | 0.125209 | − | 0.0518631i | |||||
20.0128 | − | 20.0128i | 0.732229 | − | 0.732229i | |||||
8.25763 | − | 13.0634i | 0.301929 | − | 0.477645i | |||||
− | 1.87537i | − | 0.0685246i | |||||||
0 | 0 | |||||||||
−11.7286 | + | 7.83680i | −0.427983 | + | 0.285969i | −0.750847 | − | 0.660476i | ||
0.322864 | + | 0.946445i | ||||||||
10.6121 | 0.386982 | |||||||||
4.18034 | − | 2.79322i | 0.152340 | − | 0.101790i | |||||
−0.623394 | + | 0.932975i | −0.0227027 | + | 0.0339770i | |||||
0 | 0 | |||||||||
−4.72635 | − | 1.95772i | −0.171896 | − | 0.0712015i | |||||
29.1438 | − | 12.0718i | 1.05925 | − | 0.438755i | 0.216064 | − | 0.976379i | ||
0.843185 | + | 0.537624i | ||||||||
4.33225 | + | 2.89472i | 0.157354 | + | 0.105141i | |||||
35.6634 | + | 23.8295i | 1.29450 | + | 0.864957i | |||||
0 | 0 | |||||||||
−8.41792 | − | 8.41792i | −0.305149 | − | 0.305149i | 0.537875 | − | 0.843024i | ||
−0.843024 | + | 0.537875i | ||||||||
−9.33274 | + | 46.9188i | −0.338089 | + | 1.69969i | |||||
−12.4614 | + | 30.0845i | −0.451133 | + | 1.08913i | |||||
18.4480 | 0.667425 | |||||||||
0 | 0 | |||||||||
2.04336 | 0.0738297 | |||||||||
8.93548 | − | 21.5722i | 0.322641 | − | 0.778925i | |||||
−0.437319 | + | 2.19855i | −0.0157804 | + | 0.0793334i | |||||
−7.10275 | − | 7.10275i | −0.256132 | − | 0.256132i | 0.567347 | − | 0.823479i | ||
−0.823479 | + | 0.567347i | ||||||||
0 | 0 | |||||||||
−12.2363 | − | 8.17601i | −0.440678 | − | 0.294452i | |||||
−17.3142 | − | 11.5690i | −0.623152 | − | 0.416377i | |||||
−1.12415 | + | 0.465637i | −0.0404328 | + | 0.0167478i | −0.402808 | − | 0.915284i | ||
0.362375 | + | 0.932032i | ||||||||
4.52909 | + | 1.87601i | 0.162795 | + | 0.0674319i | |||||
0 | 0 | |||||||||
6.25124 | − | 9.35564i | 0.224406 | − | 0.335848i | |||||
−7.33477 | + | 4.90094i | −0.263133 | + | 0.175820i | |||||
3.11695 | 0.111748 | |||||||||
19.2643 | − | 12.8720i | 0.690215 | − | 0.461187i | |||||
0 | 0 | |||||||||
− | 31.9120i | − | 1.14190i | |||||||
12.1333 | + | 17.1987i | 0.433888 | + | 0.615025i | |||||
0.943622 | − | 0.943622i | 0.0337223 | − | 0.0337223i | |||||
1.40662 | − | 0.582639i | 0.0502363 | − | 0.0208085i | |||||
0 | 0 | |||||||||
−20.4658 | + | 20.4658i | −0.729990 | + | 0.729990i | |||||
3.54648 | + | 5.30768i | 0.126418 | + | 0.189198i | 0.889280 | − | 0.457364i | ||
−0.762862 | + | 0.646562i | ||||||||
−4.15244 | + | 0.825971i | −0.147924 | + | 0.0294240i | |||||
2.24532 | + | 11.2880i | 0.0799357 | + | 0.401864i | |||||
0 | 0 | |||||||||
−0.131297 | + | 0.316978i | −0.00466837 | + | 0.0112705i | |||||
−4.21666 | + | 6.31067i | −0.149832 | + | 0.224240i | |||||
−2.37671 | − | 11.9485i | −0.0843995 | − | 0.424305i | |||||
−8.16045 | − | 1.62321i | −0.289603 | − | 0.0576057i | |||||
0 | 0 | |||||||||
−14.6373 | − | 21.9062i | −0.518804 | − | 0.776446i | |||||
3.16463 | + | 1.31083i | 0.112097 | + | 0.0464320i | 0.438027 | − | 0.898962i | ||
−0.325930 | + | 0.945394i | ||||||||
24.8689 | + | 24.8689i | 0.880350 | + | 0.880350i | |||||
31.7134 | + | 30.1452i | 1.12194 | + | 1.06646i | |||||
0 | 0 | |||||||||
12.1600 | + | 29.3568i | 0.429651 | + | 1.03727i | |||||
−19.6080 | − | 3.90028i | −0.692384 | − | 0.137724i | |||||
17.2295i | 0.608017i | |||||||||
−0.608051 | + | 3.05688i | −0.0214443 | + | 0.107808i | |||||
0 | 0 | |||||||||
−7.98306 | + | 1.58793i | −0.281191 | + | 0.0559324i | |||||
23.4825 | + | 56.6918i | 0.826623 | + | 1.99564i | |||||
6.28015 | + | 15.1616i | 0.220935 | + | 0.533384i | |||||
27.1193 | − | 5.39436i | 0.953464 | − | 0.189656i | 0.306239 | − | 0.951955i | ||
0.647225 | + | 0.762299i | ||||||||
0 | 0 | |||||||||
−7.20886 | + | 36.2414i | −0.253137 | + | 1.27261i | 0.619794 | + | 0.784764i | ||
−0.872932 | + | 0.487843i | ||||||||
− | 1.42884i | − | 0.0501425i | |||||||
38.3487 | + | 7.62804i | 1.34495 | + | 0.267527i | |||||
−2.41188 | − | 5.82279i | −0.0845363 | − | 0.204089i | |||||
0 | 0 | |||||||||
−7.55222 | + | 5.32794i | −0.264381 | + | 0.186515i | |||||
11.4762 | + | 11.4762i | 0.401502 | + | 0.401502i | |||||
28.4382 | + | 11.7795i | 0.994317 | + | 0.411860i | |||||
−4.83905 | − | 7.24215i | −0.169090 | − | 0.253061i | |||||
0 | 0 | |||||||||
−14.0812 | − | 2.80092i | −0.491436 | − | 0.0977528i | −0.0568496 | − | 0.998383i | ||
−0.434587 | + | 0.900630i | ||||||||
0.941037 | + | 4.73091i | 0.0328224 | + | 0.165009i | |||||
26.8104 | − | 40.1247i | 0.934553 | − | 1.39866i | 0.0175205 | − | 0.999847i | ||
0.917033 | − | 0.398812i | ||||||||
−6.08203 | + | 14.6833i | −0.211878 | + | 0.511518i | |||||
0 | 0 | |||||||||
5.80062 | + | 29.1617i | 0.201829 | + | 1.01466i | |||||
23.6452 | − | 4.70333i | 0.822225 | − | 0.163551i | 0.233988 | − | 0.972239i | ||
0.588237 | + | 0.808689i | ||||||||
−5.74279 | − | 8.59470i | −0.199576 | − | 0.298686i | |||||
16.0770 | − | 16.0770i | 0.558377 | − | 0.558377i | −0.370468 | − | 0.928845i | ||
0.928845 | + | 0.370468i | ||||||||
0 | 0 | |||||||||
−47.1094 | + | 19.5134i | −1.63421 | + | 0.676911i | |||||
1.29962 | − | 1.29962i | 0.0450561 | − | 0.0450561i | |||||
5.85864 | + | 2.25453i | 0.202990 | + | 0.0781149i | |||||
43.6590i | 1.51179i | |||||||||
0 | 0 | |||||||||
−20.8927 | + | 13.9600i | −0.722588 | + | 0.482818i | |||||
9.68020 | 0.334597 | |||||||||
12.4734 | − | 8.33444i | 0.430885 | − | 0.287908i | |||||
12.5864 | − | 18.8368i | 0.434530 | − | 0.650320i | −0.547988 | − | 0.836486i | ||
0.982518 | + | 0.186166i | ||||||||
0 | 0 | |||||||||
−26.4482 | − | 10.9552i | −0.912005 | − | 0.377765i | |||||
−12.3293 | + | 5.10697i | −0.424896 | + | 0.175998i | |||||
16.3461 | + | 10.9221i | 0.562988 | + | 0.376177i | |||||
−18.4768 | − | 12.3458i | −0.635998 | − | 0.424960i | |||||
0 | 0 | |||||||||
−15.1945 | − | 15.1945i | −0.522396 | − | 0.522396i | |||||
1.39234 | − | 6.99977i | 0.0478414 | − | 0.240515i | |||||
−0.732730 | + | 1.76897i | −0.0251620 | + | 0.0607465i | |||||
48.0983 | 1.65073 | |||||||||
0 | 0 | |||||||||
8.58362 | 0.294243 | |||||||||
−7.30343 | + | 17.6320i | −0.250211 | + | 0.604064i | |||||
−7.76738 | + | 39.0492i | −0.265950 | + | 1.33702i | 0.584684 | + | 0.811261i | ||
−0.850634 | + | 0.525759i | ||||||||
10.9695 | + | 10.9695i | 0.375368 | + | 0.375368i | |||||
0 | 0 | |||||||||
−0.666259 | − | 0.445180i | −0.0227723 | − | 0.0152159i | |||||
−10.1407 | − | 6.77577i | −0.346398 | − | 0.231456i | 0.370184 | − | 0.928958i | ||
−0.716582 | + | 0.697502i | ||||||||
14.2672 | − | 5.90966i | 0.487074 | − | 0.201752i | |||||
28.2759 | + | 11.7123i | 0.964762 | + | 0.399617i | 0.808760 | − | 0.588139i | ||
0.156002 | + | 0.987757i | ||||||||
0 | 0 | |||||||||
10.0735 | − | 15.0761i | 0.343305 | − | 0.513792i | |||||
0.709006 | − | 0.473743i | 0.0241488 | − | 0.0161357i | |||||
32.7720 | 1.11557 | 0.557785 | − | 0.829985i | ||||||
0.557785 | + | 0.829985i | ||||||||
−1.81746 | + | 1.21439i | −0.0618314 | + | 0.0413144i | |||||
0 | 0 | |||||||||
9.40823i | 0.319705i | |||||||||
−37.7041 | − | 5.53108i | −1.28050 | − | 0.187845i | |||||
7.32893 | − | 7.32893i | 0.248760 | − | 0.248760i | |||||
−17.8531 | + | 7.39501i | −0.605626 | + | 0.250859i | |||||
0 | 0 | |||||||||
1.80699 | − | 1.80699i | 0.0612276 | − | 0.0612276i | |||||
7.72993 | + | 11.5687i | 0.261768 | + | 0.391764i | |||||
−22.3461 | + | 4.44491i | −0.756299 | + | 0.150437i | |||||
−6.67633 | − | 33.5642i | −0.225830 | − | 1.13533i | |||||
0 | 0 | |||||||||
3.94318 | − | 9.51969i | 0.133228 | − | 0.321640i | |||||
24.0243 | − | 35.9550i | 0.811244 | − | 1.21411i | −0.162554 | − | 0.986700i | ||
0.973798 | − | 0.227413i | ||||||||
−4.93692 | − | 24.8196i | −0.166613 | − | 0.837621i | |||||
−66.2395 | − | 13.1759i | −2.23420 | − | 0.444411i | |||||
0 | 0 | |||||||||
−15.1740 | − | 22.7095i | −0.511225 | − | 0.765103i | 0.482626 | − | 0.875827i | ||
−0.993851 | + | 0.110724i | ||||||||
−2.84823 | − | 1.17978i | −0.0959049 | − | 0.0397251i | |||||
−4.46322 | − | 4.46322i | −0.150199 | − | 0.150199i | 0.628008 | − | 0.778207i | ||
−0.778207 | + | 0.628008i | ||||||||
7.57557 | − | 0.192049i | 0.254794 | − | 0.00645930i | |||||
0 | 0 | |||||||||
8.58626 | + | 20.7291i | 0.288461 | + | 0.696407i | |||||
32.0754 | + | 6.38020i | 1.07699 | + | 0.214226i | 0.701549 | − | 0.712621i | ||
0.375439 | + | 0.926847i | ||||||||
3.76920i | 0.126486i | |||||||||
−9.74399 | + | 48.9864i | −0.326803 | + | 1.64295i | |||||
0 | 0 | |||||||||
−40.3448 | + | 8.02509i | −1.35160 | + | 0.268851i | |||||
4.92520 | + | 11.8905i | 0.164908 | + | 0.398123i | |||||
−27.2244 | − | 65.7255i | −0.911029 | − | 2.19942i | |||||
−41.8652 | + | 8.32751i | −1.40018 | + | 0.278514i | |||||
0 | 0 | |||||||||
−0.456590 | + | 2.29543i | −0.0152536 | + | 0.0766851i | |||||
21.0319i | 0.702233i | |||||||||
21.6653 | + | 4.30949i | 0.722980 | + | 0.143810i | |||||
1.03466 | + | 2.49789i | 0.0345079 | + | 0.0833093i | |||||
0 | 0 | |||||||||
−7.21473 | + | 3.20499i | −0.240357 | + | 0.106774i | |||||
9.16016 | + | 9.16016i | 0.305000 | + | 0.305000i | |||||
11.7345 | + | 4.86059i | 0.390500 | + | 0.161750i | |||||
0.0814446 | + | 0.121890i | 0.00270881 | + | 0.00405402i | |||||
0 | 0 | |||||||||
−12.3102 | − | 2.44866i | −0.408980 | − | 0.0813511i | |||||
−9.55754 | − | 48.0490i | −0.317353 | − | 1.59544i | −0.729274 | − | 0.684221i | ||
0.411922 | − | 0.911219i | ||||||||
−14.2142 | + | 21.2731i | −0.471716 | + | 0.705973i | |||||
12.7166 | − | 30.7005i | 0.421782 | − | 1.01827i | |||||
0 | 0 | |||||||||
3.36353 | + | 16.9096i | 0.111439 | + | 0.560241i | 0.995651 | + | 0.0931564i | ||
−0.884213 | + | 0.467085i | ||||||||
14.7386 | − | 2.93168i | 0.488042 | − | 0.0970777i | |||||
29.1065 | + | 43.5610i | 0.963285 | + | 1.44166i | |||||
9.20664 | − | 9.20664i | 0.304528 | − | 0.304528i | |||||
0 | 0 | |||||||||
−11.5454 | + | 4.78226i | −0.381471 | + | 0.158010i | |||||
−21.3676 | + | 21.3676i | −0.705620 | + | 0.705620i | |||||
−8.88102 | − | 1.53367i | −0.293117 | − | 0.0506186i | |||||
− | 34.3332i | − | 1.13255i | −0.824217 | − | 0.566274i | ||||
0.824217 | − | 0.566274i | ||||||||
0 | 0 | |||||||||
8.61080 | − | 5.75355i | 0.283735 | − | 0.189586i | |||||
4.89848 | 0.161323 | |||||||||
13.0107 | − | 8.69348i | 0.428253 | − | 0.286149i | |||||
−10.9250 | + | 16.3504i | −0.359407 | + | 0.537890i | |||||
0 | 0 | |||||||||
5.22742 | + | 2.16527i | 0.171784 | + | 0.0711552i | |||||
29.7320 | − | 12.3154i | 0.976527 | − | 0.404491i | |||||
−0.507621 | − | 0.339182i | −0.0166635 | − | 0.0111342i | |||||
9.78051 | + | 6.53513i | 0.320888 | + | 0.214411i | 0.705573 | − | 0.708637i | ||
−0.384685 | + | 0.923048i | ||||||||
0 | 0 | |||||||||
−7.21711 | − | 7.21711i | −0.236531 | − | 0.236531i | |||||
−1.38155 | + | 6.94554i | −0.0452543 | + | 0.227509i | |||||
18.6371 | − | 44.9939i | 0.610151 | − | 1.47303i | |||||
−27.6107 | −0.903451 | |||||||||
0 | 0 | |||||||||
−3.72161 | −0.121645 | |||||||||
8.46339 | − | 20.4324i | 0.276487 | − | 0.667498i | −0.723246 | − | 0.690590i | ||
0.999733 | + | 0.0230916i | ||||||||
−0.634845 | + | 3.19158i | −0.0207284 | + | 0.104209i | |||||
33.2126 | + | 33.2126i | 1.08385 | + | 1.08385i | |||||
0 | 0 | |||||||||
−6.14772 | − | 4.10778i | −0.200410 | − | 0.133910i | 0.451316 | − | 0.892364i | ||
−0.651726 | + | 0.758455i | ||||||||
4.54564 | + | 3.03730i | 0.148105 | + | 0.0989606i | |||||
−16.3000 | + | 6.75169i | −0.530802 | + | 0.219865i | |||||
11.7372 | + | 4.86169i | 0.382012 | + | 0.158235i | |||||
0 | 0 | |||||||||
−5.04155 | + | 7.54522i | −0.163915 | + | 0.245316i | |||||
−6.90636 | + | 4.61468i | −0.224427 | + | 0.149957i | −0.662701 | − | 0.748884i | ||
0.438274 | + | 0.898841i | ||||||||
11.5567 | 0.375343 | |||||||||
−7.02459 | + | 4.69368i | −0.228028 | + | 0.152363i | |||||
0 | 0 | |||||||||
− | 12.8277i | − | 0.415968i | |||||||
−7.88502 | + | 5.56272i | −0.255555 | + | 0.180289i | |||||
−18.9533 | + | 18.9533i | −0.613958 | + | 0.613958i | −0.943975 | − | 0.330017i | ||
0.330017 | + | 0.943975i | ||||||||
3.58195 | − | 1.48369i | 0.115970 | − | 0.0480363i | |||||
0 | 0 | |||||||||
13.8665 | − | 13.8665i | 0.448475 | − | 0.448475i | |||||
−2.84987 | − | 4.26513i | −0.0921231 | − | 0.137872i | |||||
−2.12413 | + | 0.422516i | −0.0686275 | + | 0.0136509i | |||||
0.982504 | + | 4.93938i | 0.0317267 | + | 0.159501i | |||||
0 | 0 | |||||||||
4.35786 | − | 10.5208i | 0.140576 | − | 0.339381i | |||||
1.71694 | − | 2.56959i | 0.0553564 | − | 0.0828468i | |||||
0.316543 | + | 1.59137i | 0.0102004 | + | 0.0512811i | |||||
4.64708 | + | 0.924362i | 0.149672 | + | 0.0297717i | |||||
0 | 0 | |||||||||
−14.8791 | − | 22.2682i | −0.478728 | − | 0.716466i | |||||
−2.71453 | − | 1.12440i | −0.0872936 | − | 0.0361582i | 0.338609 | − | 0.940927i | ||
−0.425903 | + | 0.904769i | ||||||||
−2.15627 | − | 2.15627i | −0.0693052 | − | 0.0693052i | |||||
52.3730 | + | 33.1060i | 1.68246 | + | 1.06352i | |||||
0 | 0 | |||||||||
21.5927 | + | 52.1293i | 0.692941 | + | 1.67291i | 0.738769 | + | 0.673959i | ||
−0.0458273 | + | 0.998949i | ||||||||
17.6965 | + | 3.52005i | 0.567615 | + | 0.112906i | |||||
45.5828i | 1.46132i | |||||||||
−6.78474 | + | 34.1092i | −0.217397 | + | 1.09293i | |||||
0 | 0 | |||||||||
6.50106 | − | 1.29314i | 0.208094 | − | 0.0413924i | |||||
−0.198220 | − | 0.478546i | −0.00634163 | − | 0.0153100i | 0.920677 | − | 0.390325i | ||
−0.927019 | + | 0.375015i | ||||||||
−6.18918 | − | 14.9420i | −0.197908 | − | 0.477793i | |||||
−57.6894 | + | 11.4751i | −1.84376 | + | 0.366747i | |||||
0 | 0 | |||||||||
5.49632 | − | 27.6319i | 0.175484 | − | 0.882218i | |||||
1.29098i | 0.0411969i | |||||||||
18.9985 | + | 3.77904i | 0.605958 | + | 0.120533i | 0.488527 | − | 0.872549i | ||
0.117431 | + | 0.993081i | ||||||||
−2.96477 | − | 7.15759i | −0.0945135 | − | 0.228176i | |||||
0 | 0 | |||||||||
−0.553491 | − | 2.45559i | −0.0176268 | − | 0.0782021i | |||||
−39.3676 | − | 39.3676i | −1.25308 | − | 1.25308i | |||||
−11.3832 | − | 4.71507i | −0.362147 | − | 0.150006i | |||||
−6.86624 | − | 10.2761i | −0.218334 | − | 0.326760i | |||||
0 | 0 | |||||||||
17.3723 | + | 3.45556i | 0.551848 | + | 0.109769i | 0.463135 | − | 0.886288i | ||
0.0887133 | + | 0.996057i | ||||||||
−0.863974 | − | 4.34349i | −0.0274312 | − | 0.137906i | |||||
−36.9076 | + | 55.2361i | −1.17123 | + | 1.75287i | |||||
−7.62526 | + | 18.4090i | −0.241859 | + | 0.583898i | |||||
0 | 0 | |||||||||
−6.11253 | − | 30.7297i | −0.193683 | − | 0.973709i | |||||
−39.3912 | + | 7.83540i | −1.24753 | + | 0.248150i | −0.774317 | − | 0.632798i | ||
−0.473215 | + | 0.880947i | ||||||||
6.25854 | + | 9.36656i | 0.198110 | + | 0.296493i | |||||
−2.59891 | + | 2.59891i | −0.0822258 | + | 0.0822258i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 850.2.v.a.607.3 | yes | 24 | |
5.2 | odd | 4 | 850.2.s.a.743.1 | yes | 24 | ||
5.3 | odd | 4 | 850.2.s.b.743.3 | yes | 24 | ||
5.4 | even | 2 | 850.2.v.b.607.1 | yes | 24 | ||
17.10 | odd | 16 | 850.2.s.b.707.3 | yes | 24 | ||
85.27 | even | 16 | 850.2.v.b.843.1 | yes | 24 | ||
85.44 | odd | 16 | 850.2.s.a.707.1 | ✓ | 24 | ||
85.78 | even | 16 | inner | 850.2.v.a.843.3 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
850.2.s.a.707.1 | ✓ | 24 | 85.44 | odd | 16 | ||
850.2.s.a.743.1 | yes | 24 | 5.2 | odd | 4 | ||
850.2.s.b.707.3 | yes | 24 | 17.10 | odd | 16 | ||
850.2.s.b.743.3 | yes | 24 | 5.3 | odd | 4 | ||
850.2.v.a.607.3 | yes | 24 | 1.1 | even | 1 | trivial | |
850.2.v.a.843.3 | yes | 24 | 85.78 | even | 16 | inner | |
850.2.v.b.607.1 | yes | 24 | 5.4 | even | 2 | ||
850.2.v.b.843.1 | yes | 24 | 85.27 | even | 16 |