Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(497,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.497");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 930.j (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 | 497.12 | ||
Character | 930.497 | ||
Dual form | 930.2.j.h.683.12 |
-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 .
0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | |||||
−1.49353 | − | 0.877144i | −0.862287 | − | 0.506420i | |||||
− | 1.00000i | − | 0.500000i | |||||||
1.98408 | + | 1.03122i | 0.887309 | + | 0.461175i | |||||
−1.67632 | + | 0.435847i | −0.684353 | + | 0.177934i | |||||
2.39520 | + | 2.39520i | 0.905301 | + | 0.905301i | 0.995889 | − | 0.0905872i | ||
−0.0905872 | + | 0.995889i | ||||||||
−0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | |||||
1.46124 | + | 2.62007i | 0.487079 | + | 0.873358i | |||||
2.13214 | − | 0.673776i | 0.674242 | − | 0.213067i | |||||
− | 0.0383198i | − | 0.0115539i | −0.999983 | − | 0.00577693i | ||||
0.999983 | − | 0.00577693i | ||||||||
−0.877144 | + | 1.49353i | −0.253210 | + | 0.431144i | |||||
−2.42230 | + | 2.42230i | −0.671825 | + | 0.671825i | −0.958136 | − | 0.286312i | ||
0.286312 | + | 0.958136i | ||||||||
3.38733 | 0.905301 | |||||||||
−2.05875 | − | 3.28048i | −0.531567 | − | 0.847016i | |||||
−1.00000 | −0.250000 | |||||||||
−3.70534 | + | 3.70534i | −0.898678 | + | 0.898678i | −0.995319 | − | 0.0966412i | ||
0.0966412 | + | 0.995319i | ||||||||
2.88592 | + | 0.819423i | 0.680218 | + | 0.193140i | |||||
7.16937i | 1.64477i | 0.568934 | + | 0.822383i | ||||||
−0.568934 | + | 0.822383i | ||||||||
1.03122 | − | 1.98408i | 0.230588 | − | 0.443654i | |||||
−1.47636 | − | 5.67823i | −0.322168 | − | 1.23909i | |||||
−0.0270962 | − | 0.0270962i | −0.00577693 | − | 0.00577693i | |||||
3.94658 | + | 3.94658i | 0.822918 | + | 0.822918i | 0.986525 | − | 0.163608i | ||
−0.163608 | + | 0.986525i | ||||||||
0.435847 | + | 1.67632i | 0.0889669 | + | 0.342177i | |||||
2.87317 | + | 4.09205i | 0.574634 | + | 0.818410i | |||||
3.42565i | 0.671825i | |||||||||
0.115791 | − | 5.19486i | 0.0222840 | − | 0.999752i | |||||
2.39520 | − | 2.39520i | 0.452651 | − | 0.452651i | |||||
−3.49394 | −0.648809 | −0.324404 | − | 0.945919i | ||||||
−0.324404 | + | 0.945919i | ||||||||
−3.77541 | − | 0.863894i | −0.689292 | − | 0.157725i | |||||
−1.00000 | −0.179605 | |||||||||
−0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | |||||
−0.0336120 | + | 0.0572316i | −0.00585110 | + | 0.00996275i | |||||
5.24015i | 0.898678i | |||||||||
2.28230 | + | 7.22226i | 0.385779 | + | 1.22078i | |||||
2.62007 | − | 1.46124i | 0.436679 | − | 0.243539i | |||||
−4.89823 | − | 4.89823i | −0.805265 | − | 0.805265i | 0.178648 | − | 0.983913i | ||
−0.983913 | + | 0.178648i | ||||||||
5.06951 | + | 5.06951i | 0.822383 | + | 0.822383i | |||||
5.74247 | − | 1.49306i | 0.919531 | − | 0.239081i | |||||
−0.673776 | − | 2.13214i | −0.106533 | − | 0.337121i | |||||
− | 10.1701i | − | 1.58830i | −0.607723 | − | 0.794149i | ||||
0.607723 | − | 0.794149i | ||||||||
−5.05906 | − | 2.97117i | −0.780630 | − | 0.458462i | |||||
−6.93875 | + | 6.93875i | −1.05815 | + | 1.05815i | −0.0599483 | + | 0.998201i | ||
−0.998201 | + | 0.0599483i | ||||||||
−0.0383198 | −0.00577693 | |||||||||
0.197341 | + | 6.70530i | 0.0294178 | + | 0.999567i | |||||
5.58130 | 0.822918 | |||||||||
7.35619 | − | 7.35619i | 1.07301 | − | 1.07301i | 0.0758955 | − | 0.997116i | ||
0.997116 | − | 0.0758955i | ||||||||
1.49353 | + | 0.877144i | 0.215572 | + | 0.126605i | |||||
4.47399i | 0.639141i | |||||||||
4.92516 | + | 0.861878i | 0.696522 | + | 0.121888i | |||||
8.78415 | − | 2.28390i | 1.23003 | − | 0.319811i | |||||
2.42230 | + | 2.42230i | 0.335912 | + | 0.335912i | |||||
0.287477 | + | 0.287477i | 0.0394880 | + | 0.0394880i | 0.726575 | − | 0.687087i | ||
−0.687087 | + | 0.726575i | ||||||||
−3.59145 | − | 3.75520i | −0.488734 | − | 0.511018i | |||||
0.0395162 | − | 0.0760297i | 0.00532836 | − | 0.0102518i | |||||
− | 3.38733i | − | 0.452651i | |||||||
6.28857 | − | 10.7076i | 0.832942 | − | 1.41826i | |||||
−2.47059 | + | 2.47059i | −0.324404 | + | 0.324404i | |||||
15.0023 | 1.95314 | 0.976568 | − | 0.215211i | ||||||
0.976568 | + | 0.215211i | ||||||||
−3.28048 | + | 2.05875i | −0.423508 | + | 0.265783i | |||||
5.16656 | 0.661511 | 0.330755 | − | 0.943717i | ||||||
0.330755 | + | 0.943717i | ||||||||
−0.707107 | + | 0.707107i | −0.0898027 | + | 0.0898027i | |||||
−2.77565 | + | 9.77556i | −0.349699 | + | 1.23161i | |||||
1.00000i | 0.125000i | |||||||||
−7.30396 | + | 2.30812i | −0.905945 | + | 0.286287i | |||||
0.0167016 | + | 0.0642362i | 0.00205582 | + | 0.00790693i | |||||
5.80813 | + | 5.80813i | 0.709576 | + | 0.709576i | 0.966446 | − | 0.256870i | ||
−0.256870 | + | 0.966446i | ||||||||
3.70534 | + | 3.70534i | 0.449339 | + | 0.449339i | |||||
−2.43259 | − | 9.35603i | −0.292850 | − | 1.12633i | |||||
6.72074 | + | 3.49308i | 0.803282 | + | 0.417503i | |||||
− | 9.58222i | − | 1.13720i | −0.822614 | − | 0.568600i | ||||
0.822614 | − | 0.568600i | ||||||||
0.819423 | − | 2.88592i | 0.0965699 | − | 0.340109i | |||||
9.96911 | − | 9.96911i | 1.16680 | − | 1.16680i | 0.183840 | − | 0.982956i | ||
0.982956 | − | 0.183840i | ||||||||
−6.92715 | −0.805265 | |||||||||
−0.701836 | − | 8.63177i | −0.0810410 | − | 0.996711i | |||||
7.16937 | 0.822383 | |||||||||
0.0917837 | − | 0.0917837i | 0.0104597 | − | 0.0104597i | |||||
3.00479 | − | 5.11629i | 0.340225 | − | 0.579306i | |||||
− | 16.7308i | − | 1.88236i | −0.337908 | − | 0.941179i | ||||
0.337908 | − | 0.941179i | ||||||||
−1.98408 | − | 1.03122i | −0.221827 | − | 0.115294i | |||||
−4.72958 | + | 7.65709i | −0.525509 | + | 0.850788i | |||||
−7.19133 | − | 7.19133i | −0.794149 | − | 0.794149i | |||||
8.18895 | + | 8.18895i | 0.898855 | + | 0.898855i | 0.995335 | − | 0.0964803i | ||
−0.0964803 | + | 0.995335i | ||||||||
−5.67823 | + | 1.47636i | −0.619546 | + | 0.161084i | |||||
−11.1727 | + | 3.53069i | −1.21185 | + | 0.382957i | |||||
9.81288i | 1.05815i | |||||||||
5.21829 | + | 3.06469i | 0.559459 | + | 0.328569i | |||||
−0.0270962 | + | 0.0270962i | −0.00288847 | + | 0.00288847i | |||||
−3.51450 | −0.372536 | −0.186268 | − | 0.982499i | ||||||
−0.186268 | + | 0.982499i | ||||||||
4.88090 | + | 4.60182i | 0.514493 | + | 0.485075i | |||||
−11.6038 | −1.21641 | |||||||||
3.94658 | − | 3.94658i | 0.411459 | − | 0.411459i | |||||
1.49353 | + | 0.877144i | 0.154871 | + | 0.0909556i | |||||
− | 10.4032i | − | 1.07301i | |||||||
−7.39319 | + | 14.2246i | −0.758526 | + | 1.45942i | |||||
1.67632 | − | 0.435847i | 0.171088 | − | 0.0444835i | |||||
−2.47587 | − | 2.47587i | −0.251386 | − | 0.251386i | 0.570153 | − | 0.821539i | ||
−0.821539 | + | 0.570153i | ||||||||
3.16359 | + | 3.16359i | 0.319570 | + | 0.319570i | |||||
0.100401 | − | 0.0559943i | 0.0100907 | − | 0.00562764i | |||||
4.09205 | − | 2.87317i | 0.409205 | − | 0.287317i | |||||
− | 7.43842i | − | 0.740150i | −0.929002 | − | 0.370075i | ||||
0.929002 | − | 0.370075i | ||||||||
4.59637 | − | 7.82630i | 0.455108 | − | 0.774919i | |||||
−3.85645 | + | 3.85645i | −0.379987 | + | 0.379987i | −0.871097 | − | 0.491110i | ||
0.491110 | + | 0.871097i | ||||||||
3.42565 | 0.335912 | |||||||||
2.92629 | − | 12.7885i | 0.285577 | − | 1.24803i | |||||
0.406553 | 0.0394880 | |||||||||
−12.8902 | + | 12.8902i | −1.24614 | + | 1.24614i | −0.288732 | + | 0.957410i | ||
−0.957410 | + | 0.288732i | ||||||||
−5.19486 | − | 0.115791i | −0.499876 | − | 0.0111420i | |||||
0.836888i | 0.0801593i | 0.999196 | + | 0.0400796i | ||||||
−0.999196 | + | 0.0400796i | ||||||||
−0.0258190 | − | 0.0817033i | −0.00246174 | − | 0.00779010i | |||||
3.01918 | + | 11.6121i | 0.286568 | + | 1.10217i | |||||
−2.39520 | − | 2.39520i | −0.226325 | − | 0.226325i | |||||
−12.2848 | − | 12.2848i | −1.15566 | − | 1.15566i | −0.985400 | − | 0.170256i | ||
−0.170256 | − | 0.985400i | ||||||||
−3.12475 | − | 12.0181i | −0.292660 | − | 1.12560i | |||||
3.76055 | + | 11.9001i | 0.350673 | + | 1.10969i | |||||
3.49394i | 0.324404i | |||||||||
−9.88615 | − | 2.80705i | −0.913975 | − | 0.259512i | |||||
10.6082 | − | 10.6082i | 0.976568 | − | 0.976568i | |||||
−17.7501 | −1.62715 | |||||||||
−0.863894 | + | 3.77541i | −0.0788623 | + | 0.344646i | |||||
10.9985 | 0.999867 | |||||||||
3.65331 | − | 3.65331i | 0.330755 | − | 0.330755i | |||||
−8.92062 | + | 15.1893i | −0.804345 | + | 1.36957i | |||||
1.00000i | 0.0898027i | |||||||||
1.48081 | + | 11.0818i | 0.132448 | + | 0.991190i | |||||
4.94968 | + | 8.87505i | 0.440953 | + | 0.790652i | |||||
7.40826 | + | 7.40826i | 0.657377 | + | 0.657377i | 0.954759 | − | 0.297382i | ||
−0.297382 | + | 0.954759i | ||||||||
0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | |||||
16.4495 | − | 4.27691i | 1.44830 | − | 0.376561i | |||||
−3.53259 | + | 6.79677i | −0.309829 | + | 0.596116i | |||||
− | 16.8454i | − | 1.47179i | −0.677098 | − | 0.735893i | ||||
0.677098 | − | 0.735893i | ||||||||
0.0572316 | + | 0.0336120i | 0.00498137 | + | 0.00292555i | |||||
−17.1721 | + | 17.1721i | −1.48901 | + | 1.48901i | |||||
8.21393 | 0.709576 | |||||||||
5.58678 | − | 10.1876i | 0.480834 | − | 0.876812i | |||||
5.24015 | 0.449339 | |||||||||
−2.39174 | + | 2.39174i | −0.204340 | + | 0.204340i | −0.801856 | − | 0.597517i | ||
0.597517 | + | 0.801856i | ||||||||
−8.33581 | − | 4.89561i | −0.709592 | − | 0.416742i | |||||
4.41411i | 0.374400i | 0.982322 | + | 0.187200i | ||||||
−0.982322 | + | 0.187200i | ||||||||
7.22226 | − | 2.28230i | 0.610392 | − | 0.192890i | |||||
−17.4391 | + | 4.53422i | −1.46864 | + | 0.381850i | |||||
−6.77566 | − | 6.77566i | −0.568600 | − | 0.568600i | |||||
0.0928221 | + | 0.0928221i | 0.00776217 | + | 0.00776217i | |||||
−1.46124 | − | 2.62007i | −0.121770 | − | 0.218340i | |||||
−6.93227 | − | 3.60302i | −0.575694 | − | 0.299215i | |||||
− | 14.0985i | − | 1.16680i | |||||||
3.92433 | − | 6.68201i | 0.323673 | − | 0.551123i | |||||
−4.89823 | + | 4.89823i | −0.402632 | + | 0.402632i | |||||
−5.68468 | −0.465707 | −0.232853 | − | 0.972512i | ||||||
−0.232853 | + | 0.972512i | ||||||||
−6.59985 | − | 5.60731i | −0.538876 | − | 0.457835i | |||||
6.13286 | 0.499085 | 0.249542 | − | 0.968364i | ||||||
0.249542 | + | 0.968364i | ||||||||
5.06951 | − | 5.06951i | 0.411191 | − | 0.411191i | |||||
−15.1227 | − | 4.29390i | −1.22259 | − | 0.347141i | |||||
− | 0.129802i | − | 0.0104597i | |||||||
−1.98408 | − | 1.03122i | −0.159365 | − | 0.0828296i | |||||
−1.49306 | − | 5.74247i | −0.119540 | − | 0.459765i | |||||
−1.92479 | − | 1.92479i | −0.153615 | − | 0.153615i | 0.626116 | − | 0.779730i | ||
−0.779730 | + | 0.626116i | ||||||||
−11.8304 | − | 11.8304i | −0.941179 | − | 0.941179i | |||||
−0.177195 | − | 0.681512i | −0.0140525 | − | 0.0540474i | |||||
−2.13214 | + | 0.673776i | −0.168561 | + | 0.0532667i | |||||
18.9057i | 1.48998i | |||||||||
2.07006 | + | 8.75870i | 0.162640 | + | 0.688149i | |||||
−8.59083 | + | 8.59083i | −0.672886 | + | 0.672886i | −0.958380 | − | 0.285494i | ||
0.285494 | + | 0.958380i | ||||||||
−10.1701 | −0.794149 | |||||||||
−0.125707 | + | 0.0788910i | −0.00978631 | + | 0.00614165i | |||||
11.5809 | 0.898855 | |||||||||
−1.68138 | + | 1.68138i | −0.130109 | + | 0.130109i | −0.769163 | − | 0.639053i | ||
0.639053 | + | 0.769163i | ||||||||
−2.97117 | + | 5.05906i | −0.229231 | + | 0.390315i | |||||
1.26494i | 0.0973032i | |||||||||
−5.40374 | + | 10.3969i | −0.414448 | + | 0.797405i | |||||
−18.7843 | + | 10.4761i | −1.43647 | + | 0.801130i | |||||
6.93875 | + | 6.93875i | 0.529075 | + | 0.529075i | |||||
0.350482 | + | 0.350482i | 0.0266466 | + | 0.0266466i | 0.720305 | − | 0.693658i | ||
−0.693658 | + | 0.720305i | ||||||||
5.85695 | − | 1.52282i | 0.444014 | − | 0.115445i | |||||
−2.91946 | + | 16.6831i | −0.220691 | + | 1.26113i | |||||
0.0383198i | 0.00288847i | |||||||||
−22.4063 | − | 13.1592i | −1.68416 | − | 0.989106i | |||||
−2.48513 | + | 2.48513i | −0.186268 | + | 0.186268i | |||||
1.82086 | 0.136097 | 0.0680486 | − | 0.997682i | ||||||
0.0680486 | + | 0.997682i | ||||||||
6.70530 | − | 0.197341i | 0.499784 | − | 0.0147089i | |||||
18.7741 | 1.39547 | 0.697733 | − | 0.716358i | ||||||
0.697733 | + | 0.716358i | ||||||||
−8.20512 | + | 8.20512i | −0.608204 | + | 0.608204i | |||||
−7.71639 | − | 4.53182i | −0.570412 | − | 0.335002i | |||||
− | 5.58130i | − | 0.411459i | |||||||
−4.66735 | − | 14.7697i | −0.343150 | − | 1.08589i | |||||
1.67632 | − | 0.435847i | 0.122913 | − | 0.0319579i | |||||
0.141988 | + | 0.141988i | 0.0103832 | + | 0.0103832i | |||||
−7.35619 | − | 7.35619i | −0.536506 | − | 0.536506i | |||||
12.7201 | − | 12.1654i | 0.925250 | − | 0.884903i | |||||
4.83055 | + | 15.2861i | 0.350445 | + | 1.10897i | |||||
− | 5.71872i | − | 0.413792i | −0.978363 | − | 0.206896i | ||||
0.978363 | − | 0.206896i | ||||||||
0.877144 | − | 1.49353i | 0.0633024 | − | 0.107786i | |||||
2.43627 | − | 2.43627i | 0.175366 | − | 0.175366i | −0.613966 | − | 0.789332i | ||
0.789332 | + | 0.613966i | ||||||||
−3.50140 | −0.251386 | |||||||||
12.9332 | + | 2.95939i | 0.926166 | + | 0.211927i | |||||
4.47399 | 0.319570 | |||||||||
1.37187 | − | 1.37187i | 0.0977414 | − | 0.0977414i | −0.656545 | − | 0.754287i | ||
0.754287 | + | 0.656545i | ||||||||
0.0314001 | − | 0.110588i | 0.00223151 | − | 0.00785915i | |||||
− | 5.04179i | − | 0.357403i | −0.983903 | − | 0.178701i | ||||
0.983903 | − | 0.178701i | ||||||||
0.861878 | − | 4.92516i | 0.0609440 | − | 0.348261i | |||||
−3.58002 | − | 13.7692i | −0.252515 | − | 0.971201i | |||||
−5.25975 | − | 5.25975i | −0.370075 | − | 0.370075i | |||||
−8.36870 | − | 8.36870i | −0.587367 | − | 0.587367i | |||||
−2.28390 | − | 8.78415i | −0.159905 | − | 0.615013i | |||||
10.4876 | − | 20.1783i | 0.732484 | − | 1.40931i | |||||
5.45384i | 0.379987i | |||||||||
−4.57344 | + | 16.1072i | −0.317876 | + | 1.11953i | |||||
2.42230 | − | 2.42230i | 0.167956 | − | 0.167956i | |||||
0.274729 | 0.0190034 | |||||||||
−6.97366 | − | 11.1121i | −0.481228 | − | 0.766805i | |||||
25.9870 | 1.78902 | 0.894510 | − | 0.447049i | ||||||
0.894510 | + | 0.447049i | ||||||||
0.287477 | − | 0.287477i | 0.0197440 | − | 0.0197440i | |||||
−8.40499 | + | 14.3113i | −0.575901 | + | 0.980594i | |||||
18.2295i | 1.24614i | |||||||||
−20.9224 | + | 6.61168i | −1.42690 | + | 0.450913i | |||||
−3.75520 | + | 3.59145i | −0.255509 | + | 0.244367i | |||||
−2.39520 | − | 2.39520i | −0.162597 | − | 0.162597i | |||||
0.591769 | + | 0.591769i | 0.0400796 | + | 0.0400796i | |||||
−23.6335 | + | 6.14477i | −1.59700 | + | 0.415225i | |||||
−0.0760297 | − | 0.0395162i | −0.00512592 | − | 0.00266418i | |||||
− | 17.9509i | − | 1.20751i | |||||||
10.3459 | + | 6.07611i | 0.694369 | + | 0.407802i | |||||
−4.78005 | + | 4.78005i | −0.320096 | + | 0.320096i | −0.848804 | − | 0.528708i | ||
0.528708 | + | 0.848804i | ||||||||
−3.38733 | −0.226325 | |||||||||
−6.52310 | + | 13.5074i | −0.434873 | + | 0.900492i | |||||
−17.3733 | −1.15566 | |||||||||
7.48071 | − | 7.48071i | 0.496512 | − | 0.496512i | −0.413838 | − | 0.910350i | ||
0.910350 | + | 0.413838i | ||||||||
−10.7076 | − | 6.28857i | −0.709130 | − | 0.416471i | |||||
1.28796i | 0.0851107i | 0.999094 | + | 0.0425553i | ||||||
−0.999094 | + | 0.0425553i | ||||||||
11.0738 | + | 5.75555i | 0.730182 | + | 0.379510i | |||||
−0.217589 | + | 0.0565738i | −0.0143163 | + | 0.00372228i | |||||
2.47059 | + | 2.47059i | 0.162202 | + | 0.162202i | |||||
−2.55890 | − | 2.55890i | −0.167639 | − | 0.167639i | 0.618302 | − | 0.785941i | ||
−0.785941 | + | 0.618302i | ||||||||
−8.97545 | + | 5.00568i | −0.586744 | + | 0.327231i | |||||
22.1812 | − | 7.00945i | 1.44694 | − | 0.457246i | |||||
− | 15.0023i | − | 0.976568i | |||||||
−14.6753 | + | 24.9878i | −0.953263 | + | 1.62313i | |||||
−12.5512 | + | 12.5512i | −0.813574 | + | 0.813574i | |||||
−11.0066 | −0.711956 | −0.355978 | − | 0.934494i | ||||||
−0.355978 | + | 0.934494i | ||||||||
2.05875 | + | 3.28048i | 0.132892 | + | 0.211754i | |||||
5.18138 | 0.333762 | 0.166881 | − | 0.985977i | ||||||
0.166881 | + | 0.985977i | ||||||||
7.77714 | − | 7.77714i | 0.499933 | − | 0.499933i | |||||
13.7801 | − | 7.28754i | 0.883995 | − | 0.467496i | |||||
− | 5.16656i | − | 0.330755i | |||||||
−4.61366 | + | 8.87676i | −0.294756 | + | 0.567115i | |||||
4.43260 | + | 17.0483i | 0.282612 | + | 1.08696i | |||||
−17.3663 | − | 17.3663i | −1.10499 | − | 1.10499i | |||||
0.707107 | + | 0.707107i | 0.0449013 | + | 0.0449013i | |||||
−5.04752 | − | 19.4133i | −0.319873 | − | 1.23027i | |||||
8.88313 | + | 6.78896i | 0.561819 | + | 0.429371i | |||||
− | 10.9548i | − | 0.691460i | −0.938334 | − | 0.345730i | ||||
0.938334 | − | 0.345730i | ||||||||
9.77556 | + | 2.77565i | 0.615803 | + | 0.174850i | |||||
0.151232 | − | 0.151232i | 0.00950788 | − | 0.00950788i | |||||
10.4769 | 0.657377 | |||||||||
19.7837 | + | 4.52693i | 1.23890 | + | 0.283487i | |||||
1.00000 | 0.0625000 | |||||||||
−2.60182 | + | 2.60182i | −0.162297 | + | 0.162297i | −0.783583 | − | 0.621286i | ||
0.621286 | + | 0.783583i | ||||||||
8.60731 | − | 14.6558i | 0.535868 | − | 0.912429i | |||||
− | 23.4645i | − | 1.45801i | |||||||
2.30812 | + | 7.30396i | 0.143144 | + | 0.452973i | |||||
−5.10547 | − | 9.15439i | −0.316021 | − | 0.566642i | |||||
−11.9115 | − | 11.9115i | −0.735893 | − | 0.735893i | |||||
12.9412 | + | 12.9412i | 0.797990 | + | 0.797990i | 0.982778 | − | 0.184788i | ||
−0.184788 | + | 0.982778i | ||||||||
0.0642362 | − | 0.0167016i | 0.00395346 | − | 0.00102791i | |||||
0.273926 | + | 0.866829i | 0.0168271 | + | 0.0532489i | |||||
24.2850i | 1.48901i | |||||||||
5.24899 | + | 3.08272i | 0.321233 | + | 0.188660i | |||||
5.80813 | − | 5.80813i | 0.354788 | − | 0.354788i | |||||
−9.27758 | −0.565664 | −0.282832 | − | 0.959169i | ||||||
−0.282832 | + | 0.959169i | ||||||||
−3.25329 | − | 11.1542i | −0.197989 | − | 0.678823i | |||||
30.1199 | 1.82965 | 0.914826 | − | 0.403847i | ||||||
0.914826 | + | 0.403847i | ||||||||
3.70534 | − | 3.70534i | 0.224670 | − | 0.224670i | |||||
17.3306 | + | 10.1782i | 1.04889 | + | 0.616012i | |||||
3.38243i | 0.204340i | |||||||||
0.156807 | − | 0.110099i | 0.00945580 | − | 0.00663925i | |||||
−9.35603 | + | 2.43259i | −0.563167 | + | 0.146425i | |||||
13.4595 | + | 13.4595i | 0.808703 | + | 0.808703i | 0.984438 | − | 0.175735i | ||
−0.175735 | + | 0.984438i | ||||||||
3.12125 | + | 3.12125i | 0.187200 | + | 0.187200i | |||||
−1.46124 | − | 2.62007i | −0.0874819 | − | 0.156860i | |||||
3.49308 | − | 6.72074i | 0.208751 | − | 0.401641i | |||||
− | 0.798668i | − | 0.0476445i | −0.999716 | − | 0.0238223i | ||||
0.999716 | − | 0.0238223i | ||||||||
−9.12513 | + | 15.5375i | −0.543394 | + | 0.925244i | |||||
7.42997 | − | 7.42997i | 0.441666 | − | 0.441666i | −0.450906 | − | 0.892572i | ||
0.892572 | + | 0.450906i | ||||||||
−9.58222 | −0.568600 | |||||||||
23.5190 | − | 14.7599i | 1.39314 | − | 0.874303i | |||||
0.131270 | 0.00776217 | |||||||||
24.3594 | − | 24.3594i | 1.43789 | − | 1.43789i | |||||
−2.88592 | − | 0.819423i | −0.170055 | − | 0.0482850i | |||||
− | 10.4592i | − | 0.615245i | |||||||
−7.44958 | + | 2.35413i | −0.437454 | + | 0.138240i | |||||
1.52608 | + | 5.86946i | 0.0894602 | + | 0.344074i | |||||
−9.96911 | − | 9.96911i | −0.583398 | − | 0.583398i | |||||
9.23580 | + | 9.23580i | 0.539561 | + | 0.539561i | 0.923400 | − | 0.383839i | ||
−0.383839 | + | 0.923400i | ||||||||
−1.94997 | − | 7.49982i | −0.113725 | − | 0.437398i | |||||
29.7658 | + | 15.4707i | 1.73303 | + | 0.900738i | |||||
6.92715i | 0.402632i | |||||||||
−0.199066 | − | 0.00443709i | −0.0115510 | − | 0.000257466i | |||||
−4.01967 | + | 4.01967i | −0.232853 | + | 0.232853i | |||||
−19.1196 | −1.10571 | |||||||||
−8.63177 | + | 0.701836i | −0.498355 | + | 0.0405205i | |||||
−33.2394 | −1.91589 | |||||||||
4.33659 | − | 4.33659i | 0.249542 | − | 0.249542i | |||||
−6.52456 | + | 11.1095i | −0.374826 | + | 0.638222i | |||||
− | 7.16937i | − | 0.411191i | |||||||
10.2509 | + | 5.32786i | 0.586964 | + | 0.305072i | |||||
−13.7296 | + | 7.65709i | −0.784868 | + | 0.437727i | |||||
12.8688 | + | 12.8688i | 0.734461 | + | 0.734461i | 0.971500 | − | 0.237039i | ||
−0.237039 | + | 0.971500i | ||||||||
−0.0917837 | − | 0.0917837i | −0.00522986 | − | 0.00522986i | |||||
9.14236 | − | 2.37704i | 0.520091 | − | 0.135225i | |||||
−2.13214 | + | 0.673776i | −0.121097 | + | 0.0382679i | |||||
23.7802i | 1.34845i | 0.738526 | + | 0.674226i | ||||||
−0.738526 | + | 0.674226i | ||||||||
−5.11629 | − | 3.00479i | −0.289653 | − | 0.170113i | |||||
2.99407 | − | 2.99407i | 0.169235 | − | 0.169235i | −0.617408 | − | 0.786643i | ||
0.786643 | + | 0.617408i | ||||||||
−2.72206 | −0.153615 | |||||||||
−15.5879 | + | 16.5332i | −0.878277 | + | 0.931541i | |||||
−16.7308 | −0.941179 | |||||||||
−18.9997 | + | 18.9997i | −1.06713 | + | 1.06713i | −0.0695500 | + | 0.997578i | ||
−0.997578 | + | 0.0695500i | ||||||||
−0.607198 | − | 0.356606i | −0.0340500 | − | 0.0199975i | |||||
0.133887i | 0.00749625i | |||||||||
−1.03122 | + | 1.98408i | −0.0576469 | + | 0.110914i | |||||
30.5584 | − | 7.94527i | 1.70560 | − | 0.443462i | |||||
13.3683 | + | 13.3683i | 0.744989 | + | 0.744989i | |||||
−26.5650 | − | 26.5650i | −1.47812 | − | 1.47812i | |||||
7.65709 | + | 4.72958i | 0.425394 | + | 0.262754i | |||||
−16.8718 | − | 2.95249i | −0.935882 | − | 0.163775i | |||||
12.1493i | 0.672886i | |||||||||
0.734071 | − | 1.24991i | 0.0405942 | − | 0.0691203i | |||||
−7.19133 | + | 7.19133i | −0.397075 | + | 0.397075i | |||||
35.2391 | 1.94280 | |||||||||
−0.0331043 | + | 0.144673i | −0.00182233 | + | 0.00796398i | |||||
−3.70761 | −0.203789 | −0.101894 | − | 0.994795i | ||||||
−0.101894 | + | 0.994795i | ||||||||
8.18895 | − | 8.18895i | 0.449427 | − | 0.449427i | |||||
5.67626 | − | 19.9912i | 0.311057 | − | 1.09551i | |||||
2.37783i | 0.130109i | |||||||||
5.53435 | + | 17.5133i | 0.302374 | + | 0.956852i | |||||
1.47636 | + | 5.67823i | 0.0805419 | + | 0.309773i | |||||
−6.75125 | − | 6.75125i | −0.367764 | − | 0.367764i | 0.498897 | − | 0.866661i | ||
−0.866661 | + | 0.498897i | ||||||||
0.894449 | + | 0.894449i | 0.0486516 | + | 0.0486516i | |||||
7.57211 | + | 29.1232i | 0.411261 | + | 1.58175i | |||||
3.53069 | + | 11.1727i | 0.191478 | + | 0.605927i | |||||
0.0383198i | 0.00207514i | |||||||||
−5.87474 | + | 20.6902i | −0.317670 | + | 1.11880i | |||||
6.05031 | − | 6.05031i | 0.326686 | − | 0.326686i | |||||
9.81288 | 0.529075 | |||||||||
4.82165 | − | 21.0717i | 0.259589 | − | 1.13446i | |||||
0.495656 | 0.0266466 | |||||||||
6.23364 | − | 6.23364i | 0.334640 | − | 0.334640i | −0.519706 | − | 0.854345i | ||
0.854345 | + | 0.519706i | ||||||||
3.06469 | − | 5.21829i | 0.164285 | − | 0.279730i | |||||
21.2431i | 1.13712i | 0.822643 | + | 0.568558i | ||||||
−0.822643 | + | 0.568558i | ||||||||
9.73237 | + | 13.8611i | 0.520217 | + | 0.740908i | |||||
12.3030 | + | 12.8640i | 0.656687 | + | 0.686629i | |||||
0.0270962 | + | 0.0270962i | 0.00144423 | + | 0.00144423i | |||||
−17.2207 | − | 17.2207i | −0.916566 | − | 0.916566i | 0.0802115 | − | 0.996778i | ||
−0.996778 | + | 0.0802115i | ||||||||
−25.1486 | + | 6.53872i | −1.33663 | + | 0.347529i | |||||
9.88138 | − | 19.0119i | 0.524449 | − | 1.00905i | |||||
3.51450i | 0.186268i | |||||||||
26.5102 | + | 15.5694i | 1.40307 | + | 0.824020i | |||||
1.28754 | − | 1.28754i | 0.0680486 | − | 0.0680486i | |||||
9.65176 | 0.509400 | 0.254700 | − | 0.967020i | ||||||
0.254700 | + | 0.967020i | ||||||||
4.60182 | − | 4.88090i | 0.242537 | − | 0.257246i | |||||
−32.3998 | −1.70526 | |||||||||
13.2753 | − | 13.2753i | 0.697733 | − | 0.697733i | |||||
−16.4266 | − | 9.64730i | −0.862172 | − | 0.506352i | |||||
11.6038i | 0.608204i | |||||||||
30.0599 | − | 9.49920i | 1.57341 | − | 0.497211i | |||||
−8.66080 | + | 2.25183i | −0.452707 | + | 0.117705i | |||||
−8.60226 | − | 8.60226i | −0.449034 | − | 0.449034i | 0.445999 | − | 0.895033i | ||
−0.895033 | + | 0.445999i | ||||||||
−3.94658 | − | 3.94658i | −0.205729 | − | 0.205729i | |||||
26.6464 | − | 14.8609i | 1.38715 | − | 0.773626i | |||||
−13.7440 | − | 7.14341i | −0.714519 | − | 0.371368i | |||||
1.37713i | 0.0714970i | |||||||||
0.877144 | − | 1.49353i | 0.0454778 | − | 0.0774357i | |||||
−4.18624 | + | 4.18624i | −0.216756 | + | 0.216756i | −0.807130 | − | 0.590374i | ||
0.590374 | + | 0.807130i | ||||||||
0.200802 | 0.0103832 | |||||||||
7.50875 | − | 17.8499i | 0.387750 | − | 0.921765i | |||||
−10.4032 | −0.536506 | |||||||||
8.46337 | − | 8.46337i | 0.435886 | − | 0.435886i | |||||
0.392222 | − | 17.5967i | 0.0201737 | − | 0.905076i | |||||
− | 16.0997i | − | 0.826988i | −0.910507 | − | 0.413494i | ||||
0.910507 | − | 0.413494i | ||||||||
14.2246 | + | 7.39319i | 0.729708 | + | 0.379263i | |||||
−4.56631 | − | 17.5625i | −0.233939 | − | 0.899756i | |||||
−4.04375 | − | 4.04375i | −0.206896 | − | 0.206896i | |||||
3.06182 | + | 3.06182i | 0.156452 | + | 0.156452i | 0.780992 | − | 0.624541i | ||
−0.624541 | + | 0.780992i | ||||||||
−0.435847 | − | 1.67632i | −0.0222417 | − | 0.0855442i | |||||
0.276756 | − | 0.0874574i | 0.0141048 | − | 0.00445724i | |||||
− | 3.44540i | − | 0.175366i | |||||||
−28.3192 | − | 8.04090i | −1.43955 | − | 0.408742i | |||||
−2.47587 | + | 2.47587i | −0.125693 | + | 0.125693i | |||||
−3.48655 | −0.176775 | −0.0883874 | − | 0.996086i | ||||||
−0.0883874 | + | 0.996086i | ||||||||
11.2378 | − | 7.05255i | 0.569046 | − | 0.357120i | |||||
−29.2468 | −1.47908 | |||||||||
3.16359 | − | 3.16359i | 0.159785 | − | 0.159785i | |||||
−14.7758 | + | 25.1590i | −0.745341 | + | 1.26910i | |||||
− | 1.94011i | − | 0.0977414i | |||||||
17.2531 | − | 33.1952i | 0.868097 | − | 1.67023i | |||||
−0.0559943 | − | 0.100401i | −0.00281382 | − | 0.00504533i | |||||
−19.3189 | − | 19.3189i | −0.969587 | − | 0.969587i | 0.0299644 | − | 0.999551i | ||
−0.999551 | + | 0.0299644i | ||||||||
−3.56508 | − | 3.56508i | −0.178701 | − | 0.178701i | |||||
40.7093 | − | 10.5845i | 2.03802 | − | 0.529890i | |||||
−2.87317 | − | 4.09205i | −0.143659 | − | 0.204603i | |||||
− | 9.08809i | − | 0.453837i | −0.973914 | − | 0.226919i | ||||
0.973914 | − | 0.226919i | ||||||||
−12.2677 | − | 7.20481i | −0.611858 | − | 0.359343i | |||||
2.42230 | − | 2.42230i | 0.120663 | − | 0.120663i | |||||
−7.43842 | −0.370075 | |||||||||
−17.2800 | + | 10.3151i | −0.858651 | + | 0.512560i | |||||
−11.8351 | −0.587367 | |||||||||
−0.187699 | + | 0.187699i | −0.00930392 | + | 0.00930392i | |||||
−7.82630 | − | 4.59637i | −0.387459 | − | 0.227554i | |||||
15.9929i | 0.790800i | 0.918509 | + | 0.395400i | ||||||
−0.918509 | + | 0.395400i | ||||||||
−6.85235 | − | 21.6840i | −0.338414 | − | 1.07090i | |||||
5.67002 | − | 1.47422i | 0.279681 | − | 0.0727179i | |||||
3.85645 | + | 3.85645i | 0.189994 | + | 0.189994i | |||||
35.9336 | + | 35.9336i | 1.76818 | + | 1.76818i | |||||
8.15560 | + | 14.6234i | 0.400826 | + | 0.718702i | |||||
7.80296 | + | 24.6922i | 0.383032 | + | 1.21209i | |||||
− | 3.42565i | − | 0.167956i | |||||||
3.87181 | − | 6.59258i | 0.189603 | − | 0.322840i | |||||
0.194263 | − | 0.194263i | 0.00950170 | − | 0.00950170i | |||||
−22.1030 | −1.07980 | −0.539900 | − | 0.841729i | ||||||
−0.539900 | + | 0.841729i | ||||||||
−12.7885 | − | 2.92629i | −0.624017 | − | 0.142788i | |||||
−23.3654 | −1.13876 | −0.569381 | − | 0.822074i | ||||||
−0.569381 | + | 0.822074i | ||||||||
18.3756 | − | 18.3756i | 0.894510 | − | 0.894510i | |||||
30.0229 | + | 8.52464i | 1.45976 | + | 0.414482i | |||||
− | 0.406553i | − | 0.0197440i | |||||||
−25.8086 | − | 4.51637i | −1.25190 | − | 0.219076i | |||||
4.17639 | + | 16.0628i | 0.202347 | + | 0.778247i | |||||
12.3750 | + | 12.3750i | 0.598866 | + | 0.598866i | |||||
12.8902 | + | 12.8902i | 0.623071 | + | 0.623071i | |||||
−0.0572138 | − | 0.220050i | −0.00276231 | − | 0.0106241i | |||||
−10.1192 | + | 19.4696i | −0.487993 | + | 0.938906i | |||||
5.05677i | 0.243576i | 0.992556 | + | 0.121788i | ||||||
−0.992556 | + | 0.121788i | ||||||||
−0.115791 | + | 5.19486i | −0.00557100 | + | 0.249938i | |||||
14.4819 | − | 14.4819i | 0.695955 | − | 0.695955i | −0.267581 | − | 0.963535i | ||
0.963535 | + | 0.267581i | ||||||||
−3.38733 | −0.162597 | |||||||||
7.19315 | + | 11.4618i | 0.344885 | + | 0.549551i | |||||
0.836888 | 0.0400796 | |||||||||
−28.2945 | + | 28.2945i | −1.35351 | + | 1.35351i | |||||
−12.3664 | + | 21.0564i | −0.590888 | + | 1.00611i | |||||
− | 29.8494i | − | 1.42463i | −0.701858 | − | 0.712317i | ||||
0.701858 | − | 0.712317i | ||||||||
−0.0817033 | + | 0.0258190i | −0.00389505 | + | 0.00123087i | |||||
−11.7222 | + | 6.53755i | −0.558199 | + | 0.311312i | |||||
−12.6932 | − | 12.6932i | −0.603754 | − | 0.603754i | |||||
6.49714 | + | 6.49714i | 0.308688 | + | 0.308688i | 0.844401 | − | 0.535712i | ||
−0.535712 | + | 0.844401i | ||||||||
11.6121 | − | 3.01918i | 0.551086 | − | 0.143284i | |||||
−6.97306 | − | 3.62422i | −0.330555 | − | 0.171805i | |||||
6.76001i | 0.320096i | |||||||||
8.49021 | + | 4.98628i | 0.401573 | + | 0.235843i | |||||
−2.39520 | + | 2.39520i | −0.113163 | + | 0.113163i | |||||
15.1932 | 0.717012 | 0.358506 | − | 0.933527i | ||||||
0.358506 | + | 0.933527i | ||||||||
4.93863 | + | 14.1637i | 0.232809 | + | 0.667682i | |||||
−0.389716 | −0.0183510 | |||||||||
−12.2848 | + | 12.2848i | −0.577828 | + | 0.577828i | |||||
−9.15958 | − | 5.37940i | −0.430355 | − | 0.252746i | |||||
− | 10.5793i | − | 0.496512i | |||||||
−23.0229 | − | 11.9661i | −1.07933 | − | 0.560977i | |||||
−12.0181 | + | 3.12475i | −0.562801 | + | 0.146330i | |||||
−8.92437 | − | 8.92437i | −0.417464 | − | 0.417464i | 0.466864 | − | 0.884329i | ||
−0.884329 | + | 0.466864i | ||||||||
0.910724 | + | 0.910724i | 0.0425553 | + | 0.0425553i | |||||
18.8197 | + | 19.6778i | 0.878429 | + | 0.918481i | |||||
11.9001 | − | 3.76055i | 0.554846 | − | 0.175336i | |||||
− | 9.87377i | − | 0.459867i | −0.973206 | − | 0.229934i | ||||
0.973206 | − | 0.229934i | ||||||||
−0.113855 | + | 0.193862i | −0.00529701 | + | 0.00901929i | |||||
−10.7503 | + | 10.7503i | −0.499609 | + | 0.499609i | −0.911316 | − | 0.411707i | ||
0.411707 | + | 0.911316i | ||||||||
3.49394 | 0.162202 | |||||||||
2.05875 | + | 3.28048i | 0.0954722 | + | 0.152129i | |||||
−3.61884 | −0.167639 | |||||||||
7.08525 | − | 7.08525i | 0.327866 | − | 0.327866i | −0.523908 | − | 0.851775i | ||
0.851775 | + | 0.523908i | ||||||||
−2.80705 | + | 9.88615i | −0.129756 | + | 0.456987i | |||||
27.8233i | 1.28476i | |||||||||
10.7280 | − | 20.6409i | 0.494846 | − | 0.952093i | |||||
1.18640 | + | 4.56303i | 0.0546665 | + | 0.210253i | |||||
−10.6082 | − | 10.6082i | −0.488284 | − | 0.488284i | |||||
0.265892 | + | 0.265892i | 0.0122257 | + | 0.0122257i | |||||
7.29206 | + | 28.0461i | 0.334935 | + | 1.28820i | |||||
−29.3374 | + | 20.5988i | −1.34609 | + | 0.945139i | |||||
17.7501i | 0.813574i | |||||||||
−0.333139 | + | 1.17328i | −0.0152534 | + | 0.0537209i | |||||
−7.78283 | + | 7.78283i | −0.355978 | + | 0.355978i | |||||
−39.1461 | −1.78863 | −0.894316 | − | 0.447436i | ||||||
−0.894316 | + | 0.447436i | ||||||||
3.77541 | + | 0.863894i | 0.172323 | + | 0.0394312i | |||||
23.7300 | 1.08199 | |||||||||
3.66379 | − | 3.66379i | 0.166881 | − | 0.166881i | |||||
16.5830 | − | 28.2361i | 0.754554 | − | 1.28479i | |||||
− | 10.9985i | − | 0.499933i | |||||||
−2.35916 | − | 7.46548i | −0.107124 | − | 0.338990i | |||||
4.59095 | − | 14.8971i | 0.208250 | − | 0.675746i | |||||
−8.33574 | − | 8.33574i | −0.377729 | − | 0.377729i | 0.492554 | − | 0.870282i | ||
−0.870282 | + | 0.492554i | ||||||||
−3.65331 | − | 3.65331i | −0.165378 | − | 0.165378i | |||||
20.3660 | − | 5.29523i | 0.920984 | − | 0.239458i | |||||
3.01447 | + | 9.53917i | 0.136180 | + | 0.430936i | |||||
− | 18.7400i | − | 0.845722i | −0.906195 | − | 0.422861i | ||||
0.906195 | − | 0.422861i | ||||||||
15.1893 | + | 8.92062i | 0.684785 | + | 0.402173i | |||||
12.9463 | − | 12.9463i | 0.583070 | − | 0.583070i | |||||
−24.5597 | −1.10499 | |||||||||
0.256946 | − | 0.00756206i | 0.0115489 | − | 0.000339890i | |||||
1.00000 | 0.0449013 | |||||||||
22.9514 | − | 22.9514i | 1.02951 | − | 1.02951i | |||||
−17.2964 | − | 10.1581i | −0.775071 | − | 0.455197i | |||||
26.7204i | 1.19617i | 0.801433 | + | 0.598084i | ||||||
−0.801433 | + | 0.598084i | ||||||||
11.0818 | − | 1.48081i | 0.495595 | − | 0.0662238i | |||||
3.98600 | − | 1.03637i | 0.178081 | − | 0.0463017i | |||||
−7.74621 | − | 7.74621i | −0.345730 | − | 0.345730i | |||||
2.30936 | + | 2.30936i | 0.102969 | + | 0.102969i | 0.756715 | − | 0.653745i | ||
−0.653745 | + | 0.756715i | ||||||||
8.87505 | − | 4.94968i | 0.395326 | − | 0.220476i | |||||
7.67064 | − | 14.7584i | 0.341339 | − | 0.656742i | |||||
− | 0.213874i | − | 0.00950788i | |||||||
1.10954 | − | 1.88922i | 0.0492763 | − | 0.0839033i | |||||
7.40826 | − | 7.40826i | 0.328688 | − | 0.328688i | |||||
−8.19351 | −0.363171 | −0.181586 | − | 0.983375i | ||||||
−0.181586 | + | 0.983375i | ||||||||
17.1902 | − | 10.7882i | 0.761195 | − | 0.477708i | |||||
47.7561 | 2.11260 | |||||||||
0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | |||||
37.2439 | + | 0.830149i | 1.64436 | + | 0.0366520i | |||||
3.67953i | 0.162297i | |||||||||
−11.6284 | + | 3.67467i | −0.512407 | + | 0.161925i | |||||
−4.27691 | − | 16.4495i | −0.188281 | − | 0.724148i | |||||
−0.281888 | − | 0.281888i | −0.0123974 | − | 0.0123974i | |||||
−16.5919 | − | 16.5919i | −0.729007 | − | 0.729007i | |||||
−0.216030 | − | 0.830877i | −0.00948268 | − | 0.0364714i | |||||
6.79677 | + | 3.53259i | 0.298058 | + | 0.154915i | |||||
8.17200i | 0.358022i | 0.983847 | + | 0.179011i | ||||||
−0.983847 | + | 0.179011i | ||||||||
−10.0832 | − | 2.86302i | −0.441332 | − | 0.125311i | |||||
−15.3859 | + | 15.3859i | −0.672777 | + | 0.672777i | −0.958355 | − | 0.285578i | ||
0.285578 | + | 0.958355i | ||||||||
−16.8454 | −0.735893 | |||||||||
18.9938 | − | 22.3559i | 0.828957 | − | 0.975690i | |||||
18.3017 | 0.797990 | |||||||||
3.70534 | − | 3.70534i | 0.161407 | − | 0.161407i | |||||
0.0336120 | − | 0.0572316i | 0.00146278 | − | 0.00249069i | |||||
8.15092i | 0.354388i | |||||||||
0.806636 | + | 0.419246i | 0.0350380 | + | 0.0182109i | |||||
21.9219 | + | 39.3072i | 0.951330 | + | 1.70579i | |||||
17.1721 | + | 17.1721i | 0.744504 | + | 0.744504i | |||||
24.6350 | + | 24.6350i | 1.06706 | + | 1.06706i | |||||
5.89141 | − | 1.53178i | 0.254946 | − | 0.0662868i | |||||
−38.8678 | + | 12.2826i | −1.68040 | + | 0.531023i | |||||
− | 8.21393i | − | 0.354788i | |||||||
−2.71949 | − | 1.59715i | −0.117355 | − | 0.0689222i | |||||
−6.56024 | + | 6.56024i | −0.282832 | + | 0.282832i | |||||
0.171442 | 0.00738455 | |||||||||
−10.1876 | − | 5.58678i | −0.438406 | − | 0.240417i | |||||
21.4116 | 0.920558 | 0.460279 | − | 0.887774i | ||||||
0.460279 | + | 0.887774i | ||||||||
21.2980 | − | 21.2980i | 0.914826 | − | 0.914826i | |||||
−28.0396 | − | 16.4676i | −1.20329 | − | 0.706691i | |||||
− | 5.24015i | − | 0.224670i | |||||||
−0.863015 | + | 1.66045i | −0.0369675 | + | 0.0711261i | |||||
19.4516 | − | 5.05748i | 0.832453 | − | 0.216440i | |||||
−21.2857 | − | 21.2857i | −0.910110 | − | 0.910110i | 0.0861708 | − | 0.996280i | ||
−0.996280 | + | 0.0861708i | ||||||||
2.39174 | + | 2.39174i | 0.102170 | + | 0.102170i | |||||
7.54957 | + | 13.5368i | 0.322208 | + | 0.577736i | |||||
0.0330270 | − | 0.188731i | 0.00140828 | − | 0.00804752i | |||||
− | 25.0494i | − | 1.06714i | |||||||
−4.89561 | + | 8.33581i | −0.208371 | + | 0.354796i | |||||
40.0736 | − | 40.0736i | 1.70410 | − | 1.70410i | |||||
19.0346 | 0.808703 | |||||||||
−5.98432 | + | 26.1528i | −0.254020 | + | 1.11012i | |||||
4.41411 | 0.187200 | |||||||||
−5.01845 | + | 5.01845i | −0.212639 | + | 0.212639i | −0.805387 | − | 0.592749i | ||
0.592749 | + | 0.805387i | ||||||||
−2.88592 | − | 0.819423i | −0.122171 | − | 0.0346889i | |||||
− | 33.6155i | − | 1.42178i | |||||||
−2.28230 | − | 7.22226i | −0.0964448 | − | 0.305196i | |||||
−0.0875188 | − | 0.336607i | −0.00369505 | − | 0.0142116i | |||||
−0.564744 | − | 0.564744i | −0.0238223 | − | 0.0238223i | |||||
15.0576 | + | 15.0576i | 0.634603 | + | 0.634603i | 0.949219 | − | 0.314616i | ||
−0.314616 | + | 0.949219i | ||||||||
4.53422 | + | 17.4391i | 0.190925 | + | 0.734319i | |||||
−11.7057 | − | 37.0424i | −0.492464 | − | 1.55838i | |||||
− | 10.5076i | − | 0.441666i | |||||||
−29.6686 | + | 7.01198i | −1.24596 | + | 0.294476i | |||||
−6.77566 | + | 6.77566i | −0.284300 | + | 0.284300i | |||||
28.8741 | 1.21046 | 0.605232 | − | 0.796049i | ||||||
0.605232 | + | 0.796049i | ||||||||
6.19357 | − | 27.0673i | 0.259420 | − | 1.13372i | |||||
−32.0685 | −1.34203 | −0.671013 | − | 0.741445i | ||||||
−0.671013 | + | 0.741445i | ||||||||
0.0928221 | − | 0.0928221i | 0.00388109 | − | 0.00388109i | |||||
−5.01615 | + | 8.54106i | −0.209552 | + | 0.356808i | |||||
− | 34.4494i | − | 1.43789i | |||||||
−4.81040 | + | 27.4888i | −0.200607 | + | 1.14636i | |||||
−2.62007 | + | 1.46124i | −0.109170 | + | 0.0608848i | |||||
−17.0551 | − | 17.0551i | −0.710014 | − | 0.710014i | 0.256524 | − | 0.966538i | ||
−0.966538 | + | 0.256524i | ||||||||
−7.39574 | − | 7.39574i | −0.307622 | − | 0.307622i | |||||
−5.77559 | + | 1.50167i | −0.240025 | + | 0.0624073i | |||||
−3.60302 | + | 6.93227i | −0.149607 | + | 0.287847i | |||||
39.2284i | 1.62747i | |||||||||
5.22943 | + | 3.07124i | 0.216767 | + | 0.127307i | |||||
0.0110161 | − | 0.0110161i | 0.000456238 | − | 0.000456238i | |||||
−14.0985 | −0.583398 | |||||||||
−16.7203 | − | 15.7642i | −0.691298 | − | 0.651770i | |||||
13.0614 | 0.539561 | |||||||||
13.9394 | − | 13.9394i | 0.575340 | − | 0.575340i | −0.358275 | − | 0.933616i | ||
0.933616 | + | 0.358275i | ||||||||
−6.68201 | − | 3.92433i | −0.275562 | − | 0.161837i | |||||
− | 7.16937i | − | 0.295409i | |||||||
31.9871 | − | 10.1082i | 1.31689 | − | 0.416148i | |||||
−3.25224 | + | 0.845592i | −0.133779 | + | 0.0347830i | |||||
4.89823 | + | 4.89823i | 0.201316 | + | 0.201316i | |||||
4.85911 | + | 4.85911i | 0.199540 | + | 0.199540i | 0.799803 | − | 0.600263i | ||
−0.600263 | + | 0.799803i | ||||||||
−0.143899 | + | 0.137624i | −0.00590423 | + | 0.00564676i | |||||
−35.2177 | − | 18.3043i | −1.44378 | − | 0.750401i | |||||
5.68468i | 0.232853i | |||||||||
−4.42238 | + | 7.53004i | −0.180996 | + | 0.308184i | |||||
−13.5196 | + | 13.5196i | −0.552857 | + | 0.552857i | |||||
1.68745 | 0.0689475 | 0.0344738 | − | 0.999406i | ||||||
0.0344738 | + | 0.999406i | ||||||||
−5.60731 | + | 6.59985i | −0.228917 | + | 0.269438i | |||||
34.0778 | 1.39006 | 0.695032 | − | 0.718979i | ||||||
0.695032 | + | 0.718979i | ||||||||
−23.5038 | + | 23.5038i | −0.957944 | + | 0.957944i | |||||
−6.73069 | + | 23.7048i | −0.274095 | + | 0.965333i | |||||
− | 6.13286i | − | 0.249542i | |||||||
21.8220 | + | 11.3419i | 0.887191 | + | 0.461114i | |||||
3.24201 | + | 12.4691i | 0.131698 | + | 0.506524i | |||||
28.6914 | + | 28.6914i | 1.16455 | + | 1.16455i | 0.983469 | + | 0.181079i | ||
0.181079 | + | 0.983469i | ||||||||
−5.06951 | − | 5.06951i | −0.205596 | − | 0.205596i | |||||
5.15830 | + | 19.8394i | 0.209025 | + | 0.803934i | |||||
11.0158 | − | 3.48111i | 0.446018 | − | 0.140946i | |||||
35.6378i | 1.44175i | |||||||||
−4.29390 | + | 15.1227i | −0.173571 | + | 0.611297i | |||||
13.7211 | − | 13.7211i | 0.554190 | − | 0.554190i | −0.373458 | − | 0.927647i | ||
0.927647 | + | 0.373458i | ||||||||
18.1992 | 0.734461 | |||||||||
−33.3627 | + | 20.9376i | −1.34531 | + | 0.844287i | |||||
−0.129802 | −0.00522986 | |||||||||
−25.0384 | + | 25.0384i | −1.00801 | + | 1.00801i | −0.00804029 | + | 0.999968i | ||
−0.999968 | + | 0.00804029i | ||||||||
4.78381 | − | 8.14545i | 0.192433 | − | 0.327658i | |||||
31.7434i | 1.27587i | 0.770088 | + | 0.637937i | ||||||
−0.770088 | + | 0.637937i | ||||||||
−1.03122 | + | 1.98408i | −0.0414148 | + | 0.0796827i | |||||
20.9589 | − | 20.0449i | 0.841051 | − | 0.804376i | |||||
16.8151 | + | 16.8151i | 0.674226 | + | 0.674226i | |||||
−8.41794 | − | 8.41794i | −0.337257 | − | 0.337257i | |||||
−5.74247 | + | 1.49306i | −0.229883 | + | 0.0597702i | |||||
−8.48977 | + | 23.5143i | −0.339591 | + | 0.940573i | |||||
− | 4.23426i | − | 0.169235i | |||||||
−0.410315 | − | 0.240977i | −0.0163864 | − | 0.00962369i | |||||
−1.92479 | + | 1.92479i | −0.0768073 | + | 0.0768073i | |||||
36.2993 | 1.44735 | |||||||||
0.668458 | + | 22.7130i | 0.0266320 | + | 0.904909i | |||||
15.1458 | 0.602945 | 0.301472 | − | 0.953475i | ||||||
0.301472 | + | 0.953475i | ||||||||
−11.8304 | + | 11.8304i | −0.470590 | + | 0.470590i | |||||
−38.8122 | − | 22.7944i | −1.54265 | − | 0.905994i | |||||
26.8696i | 1.06713i | |||||||||
7.05906 | + | 22.3381i | 0.280130 | + | 0.886462i | |||||
−0.681512 | + | 0.177195i | −0.0270237 | + | 0.00702624i | |||||
−10.8373 | − | 10.8373i | −0.429391 | − | 0.429391i | |||||
0.0946726 | + | 0.0946726i | 0.00374812 | + | 0.00374812i | |||||
25.1061 | − | 14.0019i | 0.993184 | − | 0.553906i | |||||
0.673776 | + | 2.13214i | 0.0266333 | + | 0.0842803i | |||||
9.65606i | 0.381392i | 0.981649 | + | 0.190696i | ||||||
−0.981649 | + | 0.190696i | ||||||||
15.9899 | − | 27.2262i | 0.631071 | − | 1.07453i | |||||
−9.67454 | + | 9.67454i | −0.381526 | + | 0.381526i | −0.871652 | − | 0.490125i | ||
0.490125 | + | 0.871652i | ||||||||
18.9057 | 0.744989 | |||||||||
37.0476 | + | 8.47728i | 1.45875 | + | 0.333793i | |||||
−37.5686 | −1.47812 | |||||||||
27.1946 | − | 27.1946i | 1.06913 | − | 1.06913i | 0.0717042 | − | 0.997426i | ||
0.997426 | − | 0.0717042i | ||||||||
8.75870 | − | 2.07006i | 0.344074 | − | 0.0813198i | |||||
− | 0.574886i | − | 0.0225663i | |||||||
−14.0179 | + | 9.84247i | −0.549828 | + | 0.386054i | |||||
1.47636 | + | 5.67823i | 0.0578630 | + | 0.222547i | |||||
8.59083 | + | 8.59083i | 0.336443 | + | 0.336443i | |||||
21.3008 | + | 21.3008i | 0.833566 | + | 0.833566i | 0.988003 | − | 0.154437i | ||
−0.154437 | + | 0.988003i | ||||||||
−0.364755 | − | 1.40289i | −0.0142631 | − | 0.0548573i | |||||
17.3713 | − | 33.4226i | 0.678752 | − | 1.30593i | |||||
10.1701i | 0.397075i | |||||||||
40.6870 | + | 11.5526i | 1.58735 | + | 0.450710i | |||||
24.9178 | − | 24.9178i | 0.971398 | − | 0.971398i | |||||
−30.2780 | −1.17946 | −0.589731 | − | 0.807600i | ||||||
−0.589731 | + | 0.807600i | ||||||||
0.0788910 | + | 0.125707i | 0.00307083 | + | 0.00489316i | |||||
−12.9343 | −0.503087 | −0.251544 | − | 0.967846i | ||||||
−0.251544 | + | 0.967846i | ||||||||
−2.62168 | + | 2.62168i | −0.101894 | + | 0.101894i | |||||
−15.7455 | + | 26.8101i | −0.611506 | + | 1.04122i | |||||
− | 11.5809i | − | 0.449427i | |||||||
−51.7790 | + | 16.3627i | −2.00791 | + | 0.634517i | |||||
−10.1222 | − | 18.1496i | −0.392227 | − | 0.703284i | |||||
−13.7891 | − | 13.7891i | −0.533916 | − | 0.533916i | |||||
1.68138 | + | 1.68138i | 0.0650546 | + | 0.0650546i | |||||
11.3319 | − | 2.94633i | 0.438117 | − | 0.113912i | |||||
16.2971 | + | 8.47037i | 0.629613 | + | 0.327239i | |||||
− | 0.197982i | − | 0.00764300i | |||||||
5.05906 | + | 2.97117i | 0.195157 | + | 0.114616i | |||||
3.82947 | − | 3.82947i | 0.147615 | − | 0.147615i | −0.629437 | − | 0.777052i | ||
0.777052 | + | 0.629437i | ||||||||
−9.54770 | −0.367764 | |||||||||
21.5903 | − | 14.4519i | 0.831012 | − | 0.556254i | |||||
1.26494 | 0.0486516 | |||||||||
2.79395 | − | 2.79395i | 0.107380 | − | 0.107380i | −0.651375 | − | 0.758756i | ||
0.758756 | + | 0.651375i | ||||||||
25.9475 | + | 15.2389i | 0.996507 | + | 0.585247i | |||||
− | 11.8604i | − | 0.455160i | |||||||
10.3969 | + | 5.40374i | 0.398703 | + | 0.207224i | |||||
−17.7343 | + | 4.61097i | −0.679580 | + | 0.176693i | |||||
0.0270962 | + | 0.0270962i | 0.00103757 | + | 0.00103757i | |||||
−17.3883 | − | 17.3883i | −0.665345 | − | 0.665345i | 0.291290 | − | 0.956635i | ||
−0.956635 | + | 0.291290i | ||||||||
10.4761 | + | 18.7843i | 0.400565 | + | 0.718235i | |||||
−7.21181 | + | 2.27900i | −0.275549 | + | 0.0870760i | |||||
− | 8.55644i | − | 0.326686i | |||||||
1.12973 | − | 1.92360i | 0.0431017 | − | 0.0733899i | |||||
6.93875 | − | 6.93875i | 0.264537 | − | 0.264537i | |||||
−1.39271 | −0.0530580 | |||||||||
−11.4905 | − | 18.3093i | −0.437436 | − | 0.697025i | |||||
6.95698 | 0.264656 | 0.132328 | − | 0.991206i | ||||||
0.132328 | + | 0.991206i | ||||||||
0.350482 | − | 0.350482i | 0.0133233 | − | 0.0133233i | |||||
0.374598 | + | 0.106363i | 0.0142298 | + | 0.00404038i | |||||
− | 8.81570i | − | 0.334640i | |||||||
−4.55192 | + | 8.75796i | −0.172664 | + | 0.332208i | |||||
−1.52282 | − | 5.85695i | −0.0577225 | − | 0.222007i | |||||
37.6836 | + | 37.6836i | 1.42737 | + | 1.42737i | |||||
15.0211 | + | 15.0211i | 0.568558 | + | 0.568558i | |||||
1.57726 | + | 6.06631i | 0.0596574 | + | 0.229449i | |||||
16.6831 | + | 2.91946i | 0.630563 | + | 0.110345i | |||||
30.4250i | 1.14914i | 0.818456 | + | 0.574569i | ||||||
−0.818456 | + | 0.574569i | ||||||||
17.7958 | + | 0.396659i | 0.671658 | + | 0.0149709i | |||||
35.1172 | − | 35.1172i | 1.32447 | − | 1.32447i | |||||
0.0383198 | 0.00144423 | |||||||||
−39.2764 | − | 8.98728i | −1.47924 | − | 0.338481i | |||||
−24.3538 | −0.916566 | |||||||||
17.8165 | − | 17.8165i | 0.670059 | − | 0.670059i | |||||
−13.1592 | + | 22.4063i | −0.494553 | + | 0.842082i | |||||
− | 43.7876i | − | 1.64448i | −0.569143 | − | 0.822238i | ||||
0.569143 | − | 0.822238i | ||||||||
−6.45627 | − | 20.4307i | −0.242300 | − | 0.766749i | |||||
43.8359 | − | 24.4476i | 1.64397 | − | 0.916856i | |||||
2.48513 | + | 2.48513i | 0.0931340 | + | 0.0931340i | |||||
−3.94658 | − | 3.94658i | −0.147800 | − | 0.147800i | |||||
29.7548 | − | 7.73633i | 1.11354 | − | 0.289525i | |||||
0.0884468 | + | 0.279887i | 0.00330772 | + | 0.0104672i | |||||
− | 1.82086i | − | 0.0680486i | |||||||
16.4386 | + | 9.65436i | 0.613911 | + | 0.360549i | |||||
6.82483 | − | 6.82483i | 0.254700 | − | 0.254700i | |||||
15.8238 | 0.590130 | 0.295065 | − | 0.955477i | ||||||
0.295065 | + | 0.955477i | ||||||||
−0.197341 | − | 6.70530i | −0.00735446 | − | 0.249892i | |||||
−18.4739 | −0.688006 | |||||||||
−22.9102 | + | 22.9102i | −0.852628 | + | 0.852628i | |||||
−7.73852 | − | 4.54482i | −0.287799 | − | 0.169024i | |||||
− | 18.7741i | − | 0.697733i | |||||||
−10.0387 | − | 14.2974i | −0.372828 | − | 0.530992i | |||||
−18.4370 | + | 4.79368i | −0.684262 | + | 0.177910i | |||||
−6.35959 | − | 6.35959i | −0.235864 | − | 0.235864i | 0.579271 | − | 0.815135i | ||
−0.815135 | + | 0.579271i | ||||||||
8.20512 | + | 8.20512i | 0.304102 | + | 0.304102i | |||||
−26.9732 | − | 1.20304i | −0.999007 | − | 0.0445569i | |||||
14.5386 | − | 27.9725i | 0.538098 | − | 1.03531i | |||||
− | 51.4209i | − | 1.90187i | |||||||
−4.53182 | + | 7.71639i | −0.167501 | + | 0.285206i | |||||
−16.6044 | + | 16.6044i | −0.613299 | + | 0.613299i | −0.943804 | − | 0.330505i | ||
0.330505 | + | 0.943804i | ||||||||
−12.1654 | −0.449034 | |||||||||
14.6768 | − | 9.21082i | 0.541363 | − | 0.339746i | |||||
−5.58130 | −0.205729 | |||||||||
0.222567 | − | 0.222567i | 0.00819834 | − | 0.00819834i | |||||
8.33359 | − | 29.3500i | 0.306764 | − | 1.08039i | |||||
46.2648i | 1.70188i | 0.525265 | + | 0.850939i | ||||||
−0.525265 | + | 0.850939i | ||||||||
−14.7697 | + | 4.66735i | −0.542943 | + | 0.171575i | |||||
10.7043 | + | 41.1699i | 0.393232 | + | 1.51241i | |||||
0.973778 | + | 0.973778i | 0.0357485 | + | 0.0357485i | |||||
21.0299 | + | 21.0299i | 0.771513 | + | 0.771513i | 0.978371 | − | 0.206858i | ||
−0.206858 | + | 0.978371i | ||||||||
−0.435847 | − | 1.67632i | −0.0159789 | − | 0.0614567i | |||||
−11.2789 | − | 5.86215i | −0.413226 | − | 0.214773i | |||||
5.92024i | 0.216756i | |||||||||
−9.48968 | + | 33.4217i | −0.347209 | + | 1.22283i | |||||
0.141988 | − | 0.141988i | 0.00519160 | − | 0.00519160i | |||||
−61.7492 | −2.25627 | |||||||||
−7.31229 | − | 17.9313i | −0.267007 | − | 0.654757i | |||||
−15.8787 | −0.579421 | −0.289710 | − | 0.957114i | ||||||
−0.289710 | + | 0.957114i | ||||||||
−7.35619 | + | 7.35619i | −0.268253 | + | 0.268253i | |||||
−9.60893 | + | 16.3613i | −0.350169 | + | 0.596237i | |||||
− | 11.9690i | − | 0.435886i | |||||||
12.1681 | + | 6.32432i | 0.442843 | + | 0.230166i | |||||
−12.1654 | − | 12.7201i | −0.442451 | − | 0.462625i | |||||
−9.22666 | − | 9.22666i | −0.335349 | − | 0.335349i | 0.519265 | − | 0.854613i | ||
−0.854613 | + | 0.519265i | ||||||||
−11.3842 | − | 11.3842i | −0.413494 | − | 0.413494i | |||||
−0.358521 | + | 0.0932166i | −0.0130135 | + | 0.00338355i | |||||
15.2861 | − | 4.83055i | 0.554485 | − | 0.175222i | |||||
− | 29.4202i | − | 1.06648i | −0.845963 | − | 0.533242i | ||||
0.845963 | − | 0.533242i | ||||||||
−15.6475 | − | 9.18972i | −0.566847 | − | 0.332908i | |||||
−2.00451 | + | 2.00451i | −0.0725683 | + | 0.0725683i | |||||
−5.71872 | −0.206896 | |||||||||
−25.5767 | − | 24.1142i | −0.924726 | − | 0.871852i | |||||
4.33007 | 0.156452 | |||||||||
−36.3401 | + | 36.3401i | −1.31216 | + | 1.31216i | |||||
−1.49353 | − | 0.877144i | −0.0538930 | − | 0.0316512i | |||||
42.6183i | 1.53686i | 0.639937 | + | 0.768428i | ||||||
−0.639937 | + | 0.768428i | ||||||||
0.133854 | − | 0.257538i | 0.00482377 | − | 0.00928101i | |||||
6.16805 | − | 1.60371i | 0.222137 | − | 0.0577563i | |||||
−2.43627 | − | 2.43627i | −0.0876832 | − | 0.0876832i | |||||
−7.38044 | − | 7.38044i | −0.265456 | − | 0.265456i | 0.561810 | − | 0.827266i | ||
−0.827266 | + | 0.561810i | ||||||||
−25.7105 | + | 14.3389i | −0.924144 | + | 0.515402i | |||||
−2.87317 | − | 4.09205i | −0.103207 | − | 0.146991i | |||||
3.50140i | 0.125693i | |||||||||
−20.5818 | + | 35.0449i | −0.738367 | + | 1.25723i | |||||
−2.46536 | + | 2.46536i | −0.0883874 | + | 0.0883874i | |||||
72.9130 | 2.61238 | |||||||||
2.95939 | − | 12.9332i | 0.105963 | − | 0.463083i | |||||
−0.367189 | −0.0131391 | |||||||||
−20.6806 | + | 20.6806i | −0.739538 | + | 0.739538i | |||||
−0.404567 | + | 18.1505i | −0.0144580 | + | 0.648647i | |||||
− | 4.47399i | − | 0.159785i | |||||||
−1.83406 | − | 5.80381i | −0.0654604 | − | 0.207147i | |||||
7.34200 | + | 28.2382i | 0.261881 | + | 1.00722i | |||||
10.3895 | + | 10.3895i | 0.370347 | + | 0.370347i | 0.867603 | − | 0.497257i | ||
−0.497257 | + | 0.867603i | ||||||||
−1.37187 | − | 1.37187i | −0.0488707 | − | 0.0488707i | |||||
−7.97672 | − | 30.6794i | −0.283979 | − | 1.09221i | |||||
−11.2728 | − | 35.6724i | −0.401068 | − | 1.26917i | |||||
− | 58.8491i | − | 2.09243i | |||||||
−0.110588 | − | 0.0314001i | −0.00392958 | − | 0.00111576i | |||||
−12.5150 | + | 12.5150i | −0.444419 | + | 0.444419i | |||||
−27.3210 | −0.969587 | |||||||||
0.351219 | − | 1.53490i | 0.0124565 | − | 0.0544374i | |||||
−5.04179 | −0.178701 | |||||||||
−0.920813 | + | 0.920813i | −0.0326169 | + | 0.0326169i | −0.723227 | − | 0.690610i | ||
0.690610 | + | 0.723227i | ||||||||
21.3014 | − | 36.2703i | 0.754063 | − | 1.28395i | |||||
54.5145i | 1.92858i | |||||||||
−4.92516 | − | 0.861878i | −0.174131 | − | 0.0304720i | |||||
−5.13551 | − | 9.20825i | −0.181454 | − | 0.325358i | |||||
−6.42625 | − | 6.42625i | −0.226919 | − | 0.226919i | |||||
−0.382015 | − | 0.382015i | −0.0134810 | − | 0.0134810i | |||||
−13.7692 | + | 3.58002i | −0.485601 | + | 0.126258i | |||||
−19.4959 | + | 37.5105i | −0.687141 | + | 1.32207i | |||||
− | 3.42565i | − | 0.120663i | |||||||
13.8563 | + | 8.13778i | 0.487765 | + | 0.286463i | |||||
−5.25975 | + | 5.25975i | −0.185038 | + | 0.185038i | |||||
0.728913 | 0.0256272 | 0.0128136 | − | 0.999918i | ||||||
0.0128136 | + | 0.999918i | ||||||||
−4.92497 | + | 19.5127i | −0.173046 | + | 0.685606i | |||||
−3.76569 | −0.132231 | −0.0661155 | − | 0.997812i | ||||||
−0.0661155 | + | 0.997812i | ||||||||
−8.36870 | + | 8.36870i | −0.293684 | + | 0.293684i | |||||
−44.9848 | − | 26.4195i | −1.57769 | − | 0.926572i | |||||
0.265447i | 0.00930392i | |||||||||
−25.9040 | + | 8.18589i | −0.907376 | + | 0.286739i | |||||
−8.78415 | + | 2.28390i | −0.307507 | + | 0.0799526i | |||||
−49.7465 | − | 49.7465i | −1.74041 | − | 1.74041i | |||||
11.3087 | + | 11.3087i | 0.395400 | + | 0.395400i | |||||
−16.9559 | − | 30.4028i | −0.592486 | − | 1.06236i | |||||
−20.1783 | − | 10.4876i | −0.704656 | − | 0.366242i | |||||
6.66388i | 0.232571i | 0.993216 | + | 0.116285i | ||||||
−0.993216 | + | 0.116285i | ||||||||
2.96688 | − | 5.05174i | 0.103482 | − | 0.176200i | |||||
4.33761 | − | 4.33761i | 0.151200 | − | 0.151200i | −0.627454 | − | 0.778654i | ||
0.778654 | + | 0.627454i | ||||||||
5.45384 | 0.189994 | |||||||||
−0.330768 | + | 0.0268942i | −0.0115159 | + | 0.000936337i | |||||
50.8178 | 1.76818 | |||||||||
17.7402 | − | 17.7402i | 0.616886 | − | 0.616886i | −0.327845 | − | 0.944731i | ||
0.944731 | + | 0.327845i | ||||||||
16.1072 | + | 4.57344i | 0.559764 | + | 0.158938i | |||||
− | 18.4718i | − | 0.641554i | −0.947155 | − | 0.320777i | ||||
0.947155 | − | 0.320777i | ||||||||
22.9775 | + | 11.9425i | 0.797562 | + | 0.414530i | |||||
−8.29618 | − | 31.9080i | −0.287791 | − | 1.10688i | |||||
−2.42230 | − | 2.42230i | −0.0839781 | − | 0.0839781i | |||||
−16.5777 | − | 16.5777i | −0.574382 | − | 0.574382i | |||||
−1.92388 | − | 7.39944i | −0.0666184 | − | 0.256222i | |||||
−5.06988 | + | 1.60213i | −0.175450 | + | 0.0554439i | |||||
− | 0.274729i | − | 0.00950170i | |||||||
−0.115791 | + | 5.19486i | −0.00400232 | + | 0.179561i | |||||
−15.6292 | + | 15.6292i | −0.539900 | + | 0.539900i | |||||
−37.1676 | −1.28317 | −0.641583 | − | 0.767053i | ||||||
−0.641583 | + | 0.767053i | ||||||||
−11.1121 | + | 6.97366i | −0.383402 | + | 0.240614i | |||||
−16.7924 | −0.579047 | |||||||||
−16.5218 | + | 16.5218i | −0.569381 | + | 0.569381i | |||||
−0.700547 | + | 1.19283i | −0.0241281 | + | 0.0410833i | |||||
− | 25.9870i | − | 0.894510i | |||||||
−1.30443 | + | 2.50975i | −0.0448739 | + | 0.0863380i | |||||
27.2572 | − | 15.2016i | 0.937123 | − | 0.522641i | |||||
26.3437 | + | 26.3437i | 0.905180 | + | 0.905180i | |||||
−0.287477 | − | 0.287477i | −0.00987199 | − | 0.00987199i | |||||
−17.6140 | + | 4.57969i | −0.604511 | + | 0.157175i | |||||
−21.4430 | + | 15.0558i | −0.735487 | + | 0.516411i | |||||
− | 38.6625i | − | 1.32533i | |||||||
14.3113 | + | 8.40499i | 0.490297 | + | 0.287950i | |||||
7.20464 | − | 7.20464i | 0.246682 | − | 0.246682i | −0.572925 | − | 0.819608i | ||
0.819608 | + | 0.572925i | ||||||||
17.5008 | 0.598866 | |||||||||
−48.0728 | + | 1.41481i | −1.64405 | + | 0.0483854i | |||||
18.2295 | 0.623071 | |||||||||
0.0169638 | − | 0.0169638i | 0.000579472 | − | 0.000579472i | −0.706817 | − | 0.707396i | ||
0.707396 | + | 0.706817i | ||||||||
−0.196055 | − | 0.115143i | −0.00669322 | − | 0.00393091i | |||||
− | 1.75493i | − | 0.0598775i | −0.999552 | − | 0.0299387i | ||||
0.999552 | − | 0.0299387i | ||||||||
6.61168 | + | 20.9224i | 0.225457 | + | 0.713449i | |||||
−57.7481 | + | 15.0147i | −1.96805 | + | 0.511698i | |||||
3.57568 | + | 3.57568i | 0.121788 | + | 0.121788i | |||||
−18.3540 | − | 18.3540i | −0.624777 | − | 0.624777i | 0.321972 | − | 0.946749i | ||
−0.946749 | + | 0.321972i | ||||||||
3.59145 | + | 3.75520i | 0.122183 | + | 0.127754i | |||||
0.333961 | + | 1.05681i | 0.0113550 | + | 0.0359326i | |||||
− | 20.4805i | − | 0.695955i | |||||||
−9.17419 | + | 15.6210i | −0.311572 | + | 0.530518i | |||||
−2.39520 | + | 2.39520i | −0.0812985 | + | 0.0812985i | |||||
−0.641120 | −0.0217485 | |||||||||
13.1910 | + | 3.01839i | 0.447218 | + | 0.102333i | |||||
−28.1380 | −0.953421 | |||||||||
0.591769 | − | 0.591769i | 0.0200398 | − | 0.0200398i | |||||
2.86913 | − | 10.1048i | 0.0971053 | − | 0.341995i | |||||
40.0144i | 1.35351i | |||||||||
−22.9964 | + | 30.0901i | −0.777421 | + | 1.01723i | |||||
6.14477 | + | 23.6335i | 0.207613 | + | 0.798501i | |||||
−18.5647 | − | 18.5647i | −0.626886 | − | 0.626886i | 0.320397 | − | 0.947283i | ||
−0.947283 | + | 0.320397i | ||||||||
−21.1067 | − | 21.1067i | −0.712317 | − | 0.712317i | |||||
−5.69277 | − | 21.8950i | −0.192012 | − | 0.738501i | |||||
−0.0395162 | + | 0.0760297i | −0.00133209 | + | 0.00256296i | |||||
− | 6.58057i | − | 0.221705i | −0.993837 | − | 0.110853i | ||||
0.993837 | − | 0.110853i | ||||||||
−3.66609 | + | 12.9116i | −0.123444 | + | 0.434755i | |||||
24.4430 | − | 24.4430i | 0.822571 | − | 0.822571i | −0.163905 | − | 0.986476i | ||
0.986476 | + | 0.163905i | ||||||||
−17.9509 | −0.603754 | |||||||||
−30.8860 | − | 49.2148i | −1.03822 | − | 1.65434i | |||||
9.18835 | 0.308688 | |||||||||
4.64793 | − | 4.64793i | 0.156062 | − | 0.156062i | −0.624757 | − | 0.780819i | ||
0.780819 | + | 0.624757i | ||||||||
6.07611 | − | 10.3459i | 0.203901 | − | 0.347185i | |||||
35.4886i | 1.19025i | |||||||||
−7.49341 | + | 2.36799i | −0.251180 | + | 0.0793751i | |||||
0.293418 | + | 0.181237i | 0.00982989 | + | 0.00607166i | |||||
4.78005 | + | 4.78005i | 0.160048 | + | 0.160048i | |||||
52.7393 | + | 52.7393i | 1.76485 | + | 1.76485i | |||||
9.52932 | − | 2.47765i | 0.318708 | − | 0.0828650i | |||||
3.61273 | + | 1.87770i | 0.120760 | + | 0.0627646i | |||||
3.38733i | 0.113163i | |||||||||
28.5556 | + | 16.7706i | 0.953442 | + | 0.559955i | |||||
10.7432 | − | 10.7432i | 0.358506 | − | 0.358506i | |||||
3.49394 | 0.116529 | |||||||||
13.5074 | + | 6.52310i | 0.450246 | + | 0.217437i | |||||
−2.13040 | −0.0709739 | |||||||||
−0.275570 | + | 0.275570i | −0.00917549 | + | 0.00917549i | |||||
49.6439 | + | 29.1558i | 1.65205 | + | 0.970243i | |||||
17.3733i | 0.577828i | |||||||||
37.2493 | + | 19.3602i | 1.23821 | + | 0.643555i | |||||
−10.2806 | + | 2.67299i | −0.341550 | + | 0.0888041i | |||||
−25.1449 | − | 25.1449i | −0.834923 | − | 0.834923i | 0.153263 | − | 0.988186i | ||
−0.988186 | + | 0.153263i | ||||||||
−7.48071 | − | 7.48071i | −0.248256 | − | 0.248256i | |||||
19.4892 | − | 10.8693i | 0.646416 | − | 0.360511i | |||||
−24.7409 | + | 7.81836i | −0.820153 | + | 0.259176i | |||||
15.4101i | 0.510561i | 0.966867 | + | 0.255280i | ||||||
−0.966867 | + | 0.255280i | ||||||||
−6.28857 | + | 10.7076i | −0.208235 | + | 0.354565i | |||||
0.313799 | − | 0.313799i | 0.0103852 | − | 0.0103852i | |||||
−12.6210 | −0.417464 | |||||||||
−10.6367 | − | 16.9488i | −0.351637 | − | 0.560310i | |||||
1.28796 | 0.0425553 | |||||||||
40.3480 | − | 40.3480i | 1.33241 | − | 1.33241i | |||||
27.2219 | + | 0.606762i | 0.898455 | + | 0.0200261i | |||||
− | 4.10799i | − | 0.135510i | −0.997702 | − | 0.0677550i | ||||
0.997702 | − | 0.0677550i | ||||||||
5.75555 | − | 11.0738i | 0.189755 | − | 0.365091i | |||||
−7.93208 | − | 30.5077i | −0.261371 | − | 1.00526i | |||||
−6.98181 | − | 6.98181i | −0.229934 | − | 0.229934i | |||||
23.2110 | + | 23.2110i | 0.763999 | + | 0.763999i | |||||
0.0565738 | + | 0.217589i | 0.00186114 | + | 0.00715815i | |||||
5.97036 | − | 34.1173i | 0.196304 | − | 1.12177i | |||||
15.2032i | 0.499609i | |||||||||
−15.7394 | − | 4.46900i | −0.516948 | − | 0.146781i | |||||
2.47059 | − | 2.47059i | 0.0811011 | − | 0.0811011i | |||||
1.62724 | 0.0533879 | 0.0266939 | − | 0.999644i | ||||||
0.0266939 | + | 0.999644i | ||||||||
3.77541 | + | 0.863894i | 0.123800 | + | 0.0283282i | |||||
−32.0757 | −1.05124 | |||||||||
−2.55890 | + | 2.55890i | −0.0838197 | + | 0.0838197i | |||||
20.8587 | − | 35.5163i | 0.682882 | − | 1.16275i | |||||
− | 10.0201i | − | 0.327866i | |||||||
0.135295 | + | 0.428137i | 0.00442463 | + | 0.0140016i | |||||
5.00568 | + | 8.97545i | 0.163616 | + | 0.293372i | |||||
19.6327 | + | 19.6327i | 0.641372 | + | 0.641372i | 0.950893 | − | 0.309521i | ||
−0.309521 | + | 0.950893i | ||||||||
19.6740 | + | 19.6740i | 0.642380 | + | 0.642380i | |||||
−7.09796 | + | 1.84549i | −0.231633 | + | 0.0602253i | |||||
−7.00945 | − | 22.1812i | −0.228623 | − | 0.723469i | |||||
− | 24.6253i | − | 0.802763i | −0.915911 | − | 0.401381i | ||||
0.915911 | − | 0.401381i | ||||||||
4.06546 | + | 2.38764i | 0.132460 | + | 0.0777935i | |||||
40.1370 | − | 40.1370i | 1.30704 | − | 1.30704i | |||||
−15.0023 | −0.488284 | |||||||||
37.7829 | − | 11.0200i | 1.22908 | − | 0.358479i | |||||
0.376028 | 0.0122257 | |||||||||
−30.8926 | + | 30.8926i | −1.00388 | + | 1.00388i | −0.00388328 | + | 0.999992i | ||
−0.999992 | + | 0.00388328i | ||||||||
24.9878 | + | 14.6753i | 0.811567 | + | 0.476631i | |||||
48.2963i | 1.56777i | |||||||||
−6.17912 | + | 35.3103i | −0.200477 | + | 1.14562i | |||||
45.0420 | − | 11.7110i | 1.46059 | − | 0.379757i | |||||
12.5512 | + | 12.5512i | 0.406787 | + | 0.406787i | |||||
−37.6776 | − | 37.6776i | −1.22050 | − | 1.22050i | −0.967455 | − | 0.253044i | ||
−0.253044 | − | 0.967455i | ||||||||
0.594070 | + | 1.06520i | 0.0192337 | + | 0.0344871i | |||||
5.89726 | − | 11.3464i | 0.190831 | − | 0.367162i | |||||
11.0066i | 0.355978i | |||||||||
0.117438 | − | 0.199964i | 0.00379625 | − | 0.00646392i | |||||
−27.6805 | + | 27.6805i | −0.894316 | + | 0.894316i | |||||
−11.4574 | −0.369978 | |||||||||
3.28048 | − | 2.05875i | 0.105877 | − | 0.0664459i | |||||
1.00000 | 0.0322581 | |||||||||
16.7796 | − | 16.7796i | 0.540997 | − | 0.540997i | |||||
−52.6089 | − | 14.9377i | −1.69530 | − | 0.481359i | |||||
− | 5.18138i | − | 0.166881i | |||||||
7.34609 | − | 2.32143i | 0.236479 | − | 0.0747295i | |||||
−8.23999 | − | 31.6919i | −0.265117 | − | 1.01967i | |||||
−25.0874 | − | 25.0874i | −0.806757 | − | 0.806757i | 0.177384 | − | 0.984142i | ||
−0.984142 | + | 0.177384i | ||||||||
−7.77714 | − | 7.77714i | −0.249967 | − | 0.249967i | |||||
16.3742 | + | 62.9768i | 0.526014 | + | 2.02311i | |||||
−6.94707 | − | 3.61072i | −0.223057 | − | 0.115933i | |||||
− | 30.9651i | − | 0.993718i | −0.867831 | − | 0.496859i | ||||
0.867831 | − | 0.496859i | ||||||||
−7.28754 | − | 13.7801i | −0.233748 | − | 0.441998i | |||||
−10.5727 | + | 10.5727i | −0.338945 | + | 0.338945i | |||||
−11.7885 | −0.377729 | |||||||||
22.6088 | + | 19.2087i | 0.724060 | + | 0.615170i | |||||
−5.16656 | −0.165378 | |||||||||
−19.3792 | + | 19.3792i | −0.619994 | + | 0.619994i | −0.945530 | − | 0.325536i | ||
0.325536 | + | 0.945530i | ||||||||
10.6567 | − | 18.1452i | 0.340763 | − | 0.580221i | |||||
0.134675i | 0.00430423i | |||||||||
8.87676 | + | 4.61366i | 0.283558 | + | 0.147378i | |||||
−2.19271 | + | 1.22289i | −0.0700078 | + | 0.0390439i | |||||
−13.2511 | − | 13.2511i | −0.422861 | − | 0.422861i | |||||
−3.06898 | − | 3.06898i | −0.0978851 | − | 0.0978851i | 0.656468 | − | 0.754354i | ||
−0.754354 | + | 0.656468i | ||||||||
17.0483 | − | 4.43260i | 0.543479 | − | 0.141306i | |||||
4.13659 | − | 1.30720i | 0.131803 | − | 0.0416509i | |||||
− | 18.3088i | − | 0.583070i | |||||||
−52.6306 | − | 30.9098i | −1.67525 | − | 0.983870i | |||||
−17.3663 | + | 17.3663i | −0.552497 | + | 0.552497i | |||||
−54.7686 | −1.74154 | |||||||||
0.176341 | − | 0.187035i | 0.00560449 | − | 0.00594438i | |||||
11.3175 | 0.359513 | 0.179756 | − | 0.983711i | ||||||
0.179756 | + | 0.983711i | ||||||||
0.707107 | − | 0.707107i | 0.0224507 | − | 0.0224507i | |||||
5.53741 | + | 3.25211i | 0.175724 | + | 0.103203i | |||||
− | 32.4581i | − | 1.02951i | |||||||
5.19919 | − | 10.0033i | 0.164825 | − | 0.317127i | |||||
−19.4133 | + | 5.04752i | −0.615134 | + | 0.159937i | |||||
6.77107 | + | 6.77107i | 0.214442 | + | 0.214442i | 0.806151 | − | 0.591709i | ||
−0.591709 | + | 0.806151i | ||||||||
18.8942 | + | 18.8942i | 0.598084 | + | 0.598084i | |||||
−26.0128 | + | 24.8785i | −0.823009 | + | 0.787120i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.j.h.497.12 | yes | 40 | |
3.2 | odd | 2 | inner | 930.2.j.h.497.8 | ✓ | 40 | |
5.3 | odd | 4 | inner | 930.2.j.h.683.8 | yes | 40 | |
15.8 | even | 4 | inner | 930.2.j.h.683.12 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.j.h.497.8 | ✓ | 40 | 3.2 | odd | 2 | inner | |
930.2.j.h.497.12 | yes | 40 | 1.1 | even | 1 | trivial | |
930.2.j.h.683.8 | yes | 40 | 5.3 | odd | 4 | inner | |
930.2.j.h.683.12 | yes | 40 | 15.8 | even | 4 | inner |