Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(25,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 234.t (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 | 103.12 | ||
Character | 234.103 | ||
Dual form | 234.2.t.a.25.12 |
-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 .
0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | |||||
0.523143 | + | 1.65116i | 0.302036 | + | 0.953296i | |||||
0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | |||||
−0.419378 | − | 0.242128i | −0.187552 | − | 0.108283i | 0.403284 | − | 0.915075i | ||
−0.590836 | + | 0.806792i | ||||||||
1.27863 | + | 1.16837i | 0.522000 | + | 0.476986i | |||||
4.37722 | − | 2.52719i | 1.65443 | − | 0.955188i | 0.679216 | − | 0.733938i | ||
0.975217 | − | 0.221249i | ||||||||
− | 1.00000i | − | 0.353553i | |||||||
−2.45264 | + | 1.72758i | −0.817548 | + | 0.575861i | |||||
−0.484256 | −0.153135 | |||||||||
−2.78126 | + | 1.60576i | −0.838583 | + | 0.484156i | −0.856782 | − | 0.515678i | ||
0.0181994 | + | 0.999834i | ||||||||
1.69152 | + | 0.372524i | 0.488299 | + | 0.107538i | |||||
−0.722307 | + | 3.53246i | −0.200332 | + | 0.979728i | |||||
2.52719 | − | 4.37722i | 0.675420 | − | 1.16986i | |||||
0.180397 | − | 0.819127i | 0.0465783 | − | 0.211498i | |||||
−0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | |||||
4.20245 | 1.01924 | 0.509622 | − | 0.860398i | ||||||
0.509622 | + | 0.860398i | ||||||||
−1.26026 | + | 2.72245i | −0.297046 | + | 0.641688i | |||||
− | 3.21153i | − | 0.736775i | −0.929672 | − | 0.368388i | ||||
0.929672 | − | 0.368388i | ||||||||
−0.419378 | + | 0.242128i | −0.0937758 | + | 0.0541415i | |||||
6.46270 | + | 5.90540i | 1.41028 | + | 1.28866i | |||||
−1.60576 | + | 2.78126i | −0.342350 | + | 0.592968i | |||||
−3.13608 | + | 5.43186i | −0.653919 | + | 1.13262i | 0.328245 | + | 0.944593i | ||
−0.982164 | + | 0.188028i | ||||||||
1.65116 | − | 0.523143i | 0.337041 | − | 0.106786i | |||||
−2.38275 | − | 4.12704i | −0.476550 | − | 0.825408i | |||||
1.14069 | + | 3.42035i | 0.223708 | + | 0.670787i | |||||
−4.13559 | − | 3.14593i | −0.795895 | − | 0.605435i | |||||
− | 5.05438i | − | 0.955188i | |||||||
−2.29627 | − | 3.97725i | −0.426406 | − | 0.738557i | 0.570144 | − | 0.821544i | ||
−0.996551 | + | 0.0829873i | ||||||||
−0.253335 | − | 0.799583i | −0.0462524 | − | 0.145983i | |||||
−5.61504 | − | 3.24185i | −1.00849 | − | 0.582253i | −0.0977420 | − | 0.995212i | ||
−0.910750 | + | 0.412959i | ||||||||
−0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | |||||
−4.10637 | − | 3.75226i | −0.714827 | − | 0.653185i | |||||
3.63943 | − | 2.10123i | 0.624157 | − | 0.360357i | |||||
−2.44761 | −0.413722 | |||||||||
0.269808 | + | 2.98784i | 0.0449679 | + | 0.497974i | |||||
2.08429i | 0.342654i | 0.985214 | + | 0.171327i | ||||||
−0.985214 | + | 0.171327i | ||||||||
−1.60576 | − | 2.78126i | −0.260489 | − | 0.451181i | |||||
−6.21052 | + | 0.655337i | −0.994479 | + | 0.104938i | |||||
−0.242128 | + | 0.419378i | −0.0382838 | + | 0.0663095i | |||||
−9.57301 | − | 5.52698i | −1.49505 | − | 0.863169i | −0.495070 | − | 0.868853i | ||
−0.999984 | + | 0.00568392i | ||||||||
8.54956 | + | 1.88288i | 1.31923 | + | 0.290534i | |||||
4.73367 | + | 8.19896i | 0.721879 | + | 1.25033i | 0.960246 | + | 0.279155i | ||
−0.238367 | + | 0.971175i | ||||||||
3.21153i | 0.484156i | |||||||||
1.44688 | − | 0.130656i | 0.215688 | − | 0.0194770i | |||||
6.27217i | 0.924780i | |||||||||
−4.57369 | + | 2.64062i | −0.667141 | + | 0.385174i | −0.794992 | − | 0.606619i | ||
0.127851 | + | 0.991793i | ||||||||
1.16837 | − | 1.27863i | 0.168640 | − | 0.184555i | |||||
9.27337 | − | 16.0619i | 1.32477 | − | 2.29456i | |||||
−4.12704 | − | 2.38275i | −0.583652 | − | 0.336971i | |||||
2.19848 | + | 6.93891i | 0.307849 | + | 0.971642i | |||||
2.69805 | + | 2.39177i | 0.374152 | + | 0.331678i | |||||
6.41990 | 0.881841 | 0.440921 | − | 0.897546i | ||||||
0.440921 | + | 0.897546i | ||||||||
−5.15449 | − | 0.656660i | −0.701438 | − | 0.0893601i | |||||
1.55520 | 0.209703 | |||||||||
−2.52719 | − | 4.37722i | −0.337710 | − | 0.584931i | |||||
5.30274 | − | 1.68009i | 0.702365 | − | 0.222533i | |||||
−3.97725 | − | 2.29627i | −0.522239 | − | 0.301515i | |||||
3.13771 | + | 1.81156i | 0.408495 | + | 0.235844i | 0.690143 | − | 0.723673i | ||
−0.281648 | + | 0.959518i | ||||||||
−0.619186 | − | 0.565792i | −0.0799366 | − | 0.0730434i | |||||
0.500864 | + | 0.867521i | 0.0641290 | + | 0.111075i | 0.896307 | − | 0.443433i | ||
−0.832178 | + | 0.554508i | ||||||||
−6.48369 | −0.823430 | |||||||||
−6.36984 | + | 13.7603i | −0.802524 | + | 1.73363i | |||||
−1.00000 | −0.125000 | |||||||||
1.15823 | − | 1.30655i | 0.143660 | − | 0.162057i | |||||
−5.43235 | − | 1.19637i | −0.668676 | − | 0.147263i | |||||
0.936987 | + | 0.540970i | 0.114471 | + | 0.0660900i | 0.556142 | − | 0.831087i | ||
−0.441671 | + | 0.897177i | ||||||||
2.10123 | − | 3.63943i | 0.254811 | − | 0.441346i | |||||
−10.6095 | − | 2.33653i | −1.27723 | − | 0.281286i | |||||
−2.11969 | + | 1.22381i | −0.253352 | + | 0.146273i | |||||
− | 4.63041i | − | 0.549529i | −0.961512 | − | 0.274764i | ||||
0.961512 | − | 0.274764i | ||||||||
1.72758 | + | 2.45264i | 0.203597 | + | 0.289047i | |||||
0.325525i | 0.0380998i | 0.999819 | + | 0.0190499i | ||||||
−0.999819 | + | 0.0190499i | ||||||||
1.04214 | + | 1.80504i | 0.121147 | + | 0.209832i | |||||
5.56788 | − | 6.09332i | 0.642923 | − | 0.703596i | |||||
−2.78126 | − | 1.60576i | −0.319033 | − | 0.184194i | |||||
−8.11614 | + | 14.0576i | −0.924920 | + | 1.60201i | |||||
−5.05080 | + | 3.67280i | −0.571890 | + | 0.415862i | |||||
3.91818 | + | 6.78649i | 0.440830 | + | 0.763540i | 0.997751 | − | 0.0670253i | ||
−0.556921 | + | 0.830565i | ||||||||
0.484256i | 0.0541415i | |||||||||
3.03092 | − | 8.47428i | 0.336769 | − | 0.941587i | |||||
−11.0540 | −1.22071 | |||||||||
−5.08022 | + | 2.93306i | −0.557626 | + | 0.321946i | −0.752192 | − | 0.658944i | ||
0.194566 | + | 0.980889i | ||||||||
8.34557 | − | 2.64416i | 0.910577 | − | 0.288501i | |||||
−1.76242 | − | 1.01753i | −0.191161 | − | 0.110367i | |||||
8.19896 | + | 4.73367i | 0.884117 | + | 0.510445i | |||||
5.36580 | − | 5.87217i | 0.575274 | − | 0.629563i | |||||
1.60576 | + | 2.78126i | 0.171175 | + | 0.296484i | |||||
8.42912i | 0.893485i | 0.894662 | + | 0.446743i | ||||||
−0.894662 | + | 0.446743i | ||||||||
1.18771 | − | 0.836592i | 0.125195 | − | 0.0881845i | |||||
5.76550 | + | 17.2878i | 0.604388 | + | 1.81225i | |||||
3.13608 | + | 5.43186i | 0.326959 | + | 0.566310i | |||||
2.41533 | − | 10.9673i | 0.250458 | − | 1.13725i | |||||
−2.64062 | + | 4.57369i | −0.272359 | + | 0.471740i | |||||
−0.777601 | + | 1.34684i | −0.0797802 | + | 0.138183i | |||||
0.372524 | − | 1.69152i | 0.0380206 | − | 0.172640i | |||||
11.3021 | − | 6.52525i | 1.14755 | − | 0.662539i | 0.199262 | − | 0.979946i | ||
0.948289 | + | 0.317407i | ||||||||
− | 18.5467i | − | 1.87350i | |||||||
4.04736 | − | 8.74323i | 0.406775 | − | 0.878728i | |||||
−4.76550 | −0.476550 | |||||||||
3.42351 | + | 5.92969i | 0.340652 | + | 0.590027i | 0.984554 | − | 0.175081i | ||
−0.643902 | + | 0.765108i | ||||||||
5.37340 | + | 4.91003i | 0.532046 | + | 0.486166i | |||||
−1.77760 | + | 3.07889i | −0.175152 | + | 0.303373i | −0.940214 | − | 0.340584i | ||
0.765062 | + | 0.643957i | ||||||||
3.53246 | + | 0.722307i | 0.346386 | + | 0.0708280i | |||||
−1.28045 | − | 4.04139i | −0.124959 | − | 0.394400i | |||||
5.55980 | − | 3.20995i | 0.540015 | − | 0.311778i | |||||
1.41392 | 0.136689 | 0.0683445 | − | 0.997662i | ||||||
0.0683445 | + | 0.997662i | ||||||||
−4.79225 | + | 2.00856i | −0.461135 | + | 0.193274i | |||||
4.97525i | 0.476543i | 0.971199 | + | 0.238271i | ||||||
−0.971199 | + | 0.238271i | ||||||||
1.34684 | − | 0.777601i | 0.128417 | − | 0.0741413i | |||||
−3.44148 | + | 1.09038i | −0.326651 | + | 0.103494i | |||||
−4.37722 | − | 2.52719i | −0.413608 | − | 0.238797i | |||||
6.54415 | − | 11.3348i | 0.615622 | − | 1.06629i | −0.374653 | − | 0.927165i | ||
0.990275 | − | 0.139124i | ||||||||
3.75226 | − | 4.10637i | 0.351432 | − | 0.384597i | |||||
2.63041 | − | 1.51867i | 0.245287 | − | 0.141616i | |||||
−4.59254 | −0.426406 | |||||||||
−4.33105 | − | 9.91171i | −0.400406 | − | 0.916338i | |||||
3.62311 | 0.333534 | |||||||||
18.3951 | − | 10.6204i | 1.68627 | − | 0.973570i | |||||
−0.819127 | − | 0.180397i | −0.0747757 | − | 0.0164679i | |||||
−0.343044 | + | 0.594169i | −0.0311858 | + | 0.0540154i | |||||
0.867521 | + | 0.500864i | 0.0785417 | + | 0.0453461i | |||||
4.11787 | − | 18.6980i | 0.371296 | − | 1.68594i | |||||
−5.61504 | + | 3.24185i | −0.504246 | + | 0.291126i | |||||
4.72900i | 0.422975i | |||||||||
1.36371 | + | 15.1017i | 0.121489 | + | 1.34536i | |||||
−4.56300 | −0.404901 | −0.202450 | − | 0.979293i | ||||||
−0.202450 | + | 0.979293i | ||||||||
−0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | |||||
−11.0614 | + | 12.1053i | −0.973902 | + | 1.06581i | |||||
0.349781 | − | 1.71061i | 0.0306779 | − | 0.150031i | |||||
−1.23473 | + | 2.13862i | −0.107879 | + | 0.186852i | −0.914911 | − | 0.403656i | ||
0.807032 | + | 0.590508i | ||||||||
−5.30274 | + | 1.68009i | −0.461544 | + | 0.146233i | |||||
−8.11614 | − | 14.0576i | −0.703758 | − | 1.21895i | |||||
1.08194 | 0.0934654 | |||||||||
0.972658 | + | 2.32068i | 0.0837131 | + | 0.199732i | |||||
− | 4.20245i | − | 0.360357i | |||||||
16.9831 | − | 9.80519i | 1.45096 | − | 0.837714i | 0.452427 | − | 0.891802i | ||
0.998536 | + | 0.0540880i | ||||||||
−10.3563 | + | 3.28124i | −0.881590 | + | 0.279317i | |||||
0.193698 | − | 0.335495i | 0.0164293 | − | 0.0284563i | −0.857694 | − | 0.514161i | ||
0.874123 | + | 0.485704i | ||||||||
−1.22381 | + | 2.11969i | −0.103430 | + | 0.179147i | |||||
−6.75277 | − | 6.17046i | −0.568686 | − | 0.519646i | |||||
−2.31521 | − | 4.01005i | −0.194288 | − | 0.336516i | |||||
−3.66337 | − | 10.9846i | −0.306346 | − | 0.918575i | |||||
2.72245 | + | 1.26026i | 0.226871 | + | 0.105022i | |||||
2.22396i | 0.184690i | |||||||||
0.162762 | + | 0.281913i | 0.0134703 | + | 0.0233313i | |||||
31.3721 | + | 6.90911i | 2.58753 | + | 0.569853i | |||||
1.80504 | + | 1.04214i | 0.148374 | + | 0.0856636i | |||||
8.19151 | + | 4.72937i | 0.671075 | + | 0.387445i | 0.796484 | − | 0.604660i | ||
−0.125409 | + | 0.992105i | ||||||||
1.77526 | − | 8.06091i | 0.144950 | − | 0.658171i | |||||
1.15323 | − | 0.665819i | 0.0938487 | − | 0.0541836i | −0.452341 | − | 0.891845i | ||
0.546190 | + | 0.837661i | ||||||||
−3.21153 | −0.260489 | |||||||||
−10.3071 | + | 7.26008i | −0.833281 | + | 0.586943i | |||||
16.2323i | 1.30803i | |||||||||
1.56988 | + | 2.71912i | 0.126096 | + | 0.218405i | |||||
−2.53772 | + | 5.70613i | −0.203180 | + | 0.456856i | |||||
2.92122 | − | 5.05970i | 0.233139 | − | 0.403808i | −0.725592 | − | 0.688126i | ||
0.958730 | + | 0.284318i | ||||||||
6.78649 | + | 3.91818i | 0.539904 | + | 0.311714i | |||||
3.35852 | + | 10.6003i | 0.266348 | + | 0.840656i | |||||
0.242128 | + | 0.419378i | 0.0191419 | + | 0.0331547i | |||||
31.7019i | 2.49846i | |||||||||
−1.61229 | − | 8.85441i | −0.126673 | − | 0.695668i | |||||
15.1340i | 1.18538i | 0.805430 | + | 0.592691i | ||||||
−0.805430 | + | 0.592691i | ||||||||
−9.57301 | + | 5.52698i | −0.747527 | + | 0.431585i | |||||
0.813592 | + | 2.56788i | 0.0633381 | + | 0.199909i | |||||
−2.93306 | + | 5.08022i | −0.227650 | + | 0.394301i | |||||
10.4155 | + | 6.01341i | 0.805978 | + | 0.465331i | 0.845557 | − | 0.533885i | ||
−0.0395794 | + | 0.999216i | ||||||||
5.90540 | − | 6.46270i | 0.455611 | − | 0.498608i | |||||
−11.9565 | − | 5.10304i | −0.919734 | − | 0.392542i | |||||
−2.03506 | −0.156082 | |||||||||
5.54818 | + | 7.87673i | 0.424280 | + | 0.602349i | |||||
9.46735 | 0.721879 | |||||||||
−4.42932 | − | 7.67180i | −0.336755 | − | 0.583276i | 0.647066 | − | 0.762434i | ||
−0.983820 | + | 0.179158i | ||||||||
1.71083 | − | 7.76835i | 0.129698 | − | 0.588917i | |||||
−20.8596 | − | 12.0433i | −1.57684 | − | 0.910389i | |||||
2.78126 | + | 1.60576i | 0.209646 | + | 0.121039i | |||||
−1.34970 | + | 6.12855i | −0.101449 | + | 0.460650i | |||||
4.21456 | + | 7.29984i | 0.315895 | + | 0.547146i | |||||
10.3704 | 0.775121 | 0.387561 | − | 0.921844i | ||||||
0.387561 | + | 0.921844i | ||||||||
0.610289 | − | 1.31836i | 0.0454883 | − | 0.0982650i | |||||
10.8407 | 0.805783 | 0.402892 | − | 0.915248i | ||||||
0.402892 | + | 0.915248i | ||||||||
13.6369 | + | 12.0889i | 1.01084 | + | 0.896088i | |||||
−1.17039 | + | 1.28084i | −0.0865178 | + | 0.0946826i | |||||
5.43186 | + | 3.13608i | 0.400442 | + | 0.231195i | |||||
0.504664 | − | 0.874103i | 0.0371036 | − | 0.0642653i | |||||
−3.39190 | − | 10.7056i | −0.248706 | − | 0.784973i | |||||
−11.6881 | + | 6.74815i | −0.854721 | + | 0.493474i | |||||
5.28124i | 0.385174i | |||||||||
−26.0528 | − | 3.31901i | −1.89506 | − | 0.241422i | |||||
1.55520i | 0.112826i | |||||||||
−5.62900 | − | 9.74971i | −0.407300 | − | 0.705464i | 0.587286 | − | 0.809379i | ||
−0.994586 | + | 0.103915i | ||||||||
−0.523143 | − | 1.65116i | −0.0377546 | − | 0.119162i | |||||
6.60401 | + | 3.81283i | 0.475367 | + | 0.274453i | 0.718484 | − | 0.695544i | ||
−0.243117 | + | 0.969997i | ||||||||
6.52525 | − | 11.3021i | 0.468486 | − | 0.811441i | |||||
2.76323 | + | 1.22891i | 0.197879 | + | 0.0880038i | |||||
−9.27337 | − | 16.0619i | −0.662383 | − | 1.14728i | |||||
− | 24.5170i | − | 1.74677i | −0.487035 | − | 0.873383i | ||||
0.487035 | − | 0.873383i | ||||||||
−0.866495 | − | 9.59554i | −0.0615791 | − | 0.681925i | |||||
−13.5310 | −0.959187 | −0.479593 | − | 0.877491i | ||||||
−0.479593 | + | 0.877491i | ||||||||
−4.12704 | + | 2.38275i | −0.291826 | + | 0.168486i | |||||
−0.403049 | + | 1.83012i | −0.0284289 | + | 0.129087i | |||||
5.92969 | + | 3.42351i | 0.417212 | + | 0.240877i | |||||
−20.1025 | − | 11.6062i | −1.41092 | − | 0.814596i | |||||
7.10852 | + | 1.56552i | 0.497696 | + | 0.109608i | |||||
2.67647 | + | 4.63579i | 0.186933 | + | 0.323777i | |||||
3.55520i | 0.247703i | |||||||||
−1.69228 | − | 18.7402i | −0.117621 | − | 1.30254i | |||||
3.42035 | − | 1.14069i | 0.237159 | − | 0.0790929i | |||||
5.15696 | + | 8.93211i | 0.356714 | + | 0.617847i | |||||
−3.12960 | − | 2.85972i | −0.215963 | − | 0.197340i | |||||
−11.9346 | + | 20.6713i | −0.821610 | + | 1.42307i | 0.0828724 | + | 0.996560i | ||
−0.904483 | + | 0.426511i | ||||||||
3.20995 | − | 5.55980i | 0.220460 | − | 0.381849i | |||||
7.64554 | − | 2.42237i | 0.523864 | − | 0.165978i | |||||
1.22449 | − | 0.706961i | 0.0837045 | − | 0.0483268i | |||||
− | 4.58462i | − | 0.312668i | |||||||
−3.14593 | + | 4.13559i | −0.214053 | + | 0.281391i | |||||
−32.7710 | −2.22464 | |||||||||
2.48763 | + | 4.30869i | 0.168483 | + | 0.291822i | |||||
−0.537493 | + | 0.170296i | −0.0363204 | + | 0.0115075i | |||||
0.777601 | − | 1.34684i | 0.0524258 | − | 0.0908042i | |||||
−3.03546 | + | 14.8450i | −0.204187 | + | 0.998583i | |||||
−2.43522 | + | 2.66504i | −0.163441 | + | 0.178866i | |||||
−11.1456 | + | 6.43490i | −0.746363 | + | 0.430913i | −0.824378 | − | 0.566040i | ||
0.0780155 | + | 0.996952i | ||||||||
−5.05438 | −0.337710 | |||||||||
12.9738 | + | 6.00577i | 0.864922 | + | 0.400385i | |||||
− | 13.0883i | − | 0.870621i | |||||||
−15.6362 | + | 9.02759i | −1.03781 | + | 0.599182i | −0.919213 | − | 0.393760i | ||
−0.118600 | + | 0.992942i | ||||||||
1.19637 | − | 5.43235i | 0.0792317 | − | 0.359766i | |||||
−18.3370 | − | 10.5869i | −1.21174 | − | 0.699599i | −0.248603 | − | 0.968606i | ||
−0.963138 | + | 0.269006i | ||||||||
1.51867 | − | 2.63041i | 0.100138 | − | 0.173444i | |||||
−27.4571 | − | 6.04691i | −1.80655 | − | 0.397858i | |||||
−3.97725 | + | 2.29627i | −0.261119 | + | 0.150757i | |||||
29.0610 | 1.90385 | 0.951923 | − | 0.306337i | ||||||
0.951923 | + | 0.306337i | ||||||||
−8.70666 | − | 6.41827i | −0.569172 | − | 0.419575i | |||||
2.55747 | 0.166831 | |||||||||
3.13771 | − | 1.81156i | 0.204247 | − | 0.117922i | |||||
−9.15580 | + | 10.0198i | −0.594733 | + | 0.650859i | |||||
10.6204 | − | 18.3951i | 0.688418 | − | 1.19237i | |||||
6.29516 | + | 3.63451i | 0.407200 | + | 0.235097i | 0.689586 | − | 0.724204i | ||
−0.282386 | + | 0.959301i | ||||||||
−0.799583 | + | 0.253335i | −0.0516129 | + | 0.0163527i | |||||
15.5109 | − | 8.95521i | 0.999144 | − | 0.576856i | 0.0911491 | − | 0.995837i | ||
0.907995 | + | 0.418981i | ||||||||
0.686087i | 0.0441034i | |||||||||
15.5780 | + | 0.571274i | 0.999328 | + | 0.0366473i | |||||
1.00173 | 0.0641290 | |||||||||
−7.77809 | + | 4.49068i | −0.496924 | + | 0.286899i | |||||
−5.78280 | − | 18.2518i | −0.368698 | − | 1.16369i | |||||
11.3446 | + | 2.31971i | 0.721839 | + | 0.147600i | |||||
−3.24185 | + | 5.61504i | −0.205857 | + | 0.356556i | |||||
−7.50063 | − | 6.85383i | −0.475333 | − | 0.434344i | |||||
2.36450 | + | 4.09543i | 0.149544 | + | 0.259018i | |||||
−3.84702 | −0.242822 | −0.121411 | − | 0.992602i | ||||||
−0.121411 | + | 0.992602i | ||||||||
8.73185 | + | 12.3966i | 0.550055 | + | 0.780912i | |||||
− | 20.1432i | − | 1.26639i | |||||||
−3.95167 | + | 2.28150i | −0.247950 | + | 0.143154i | |||||
0.758110 | − | 3.44234i | 0.0474747 | − | 0.215568i | |||||
−0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | |||||
7.38375 | − | 12.7890i | 0.460586 | − | 0.797758i | −0.538404 | − | 0.842687i | ||
0.998990 | + | 0.0449285i | ||||||||
−3.52682 | + | 16.0142i | −0.219570 | + | 0.996999i | |||||
5.26738 | + | 9.12337i | 0.327299 | + | 0.566899i | |||||
−0.552388 | − | 1.65633i | −0.0342576 | − | 0.102721i | |||||
12.5030 | + | 5.78779i | 0.773913 | + | 0.358255i | |||||
2.46946i | 0.152564i | |||||||||
−4.38124 | − | 7.58853i | −0.270159 | − | 0.467929i | 0.698743 | − | 0.715372i | ||
−0.968902 | + | 0.247443i | ||||||||
−3.75226 | + | 4.10637i | −0.230936 | + | 0.252729i | |||||
−2.69237 | − | 1.55444i | −0.165391 | − | 0.0954884i | |||||
−14.0576 | − | 8.11614i | −0.861924 | − | 0.497632i | |||||
−13.9178 | + | 4.40963i | −0.851756 | + | 0.269865i | |||||
0.936987 | − | 0.540970i | 0.0572356 | − | 0.0330450i | |||||
−8.90736 | −0.543091 | −0.271546 | − | 0.962426i | ||||||
−0.271546 | + | 0.962426i | ||||||||
2.00269 | + | 1.52344i | 0.121880 | + | 0.0927133i | |||||
− | 3.58551i | − | 0.217804i | −0.994052 | − | 0.108902i | ||||
0.994052 | − | 0.108902i | ||||||||
−2.10123 | − | 3.63943i | −0.127406 | − | 0.220673i | |||||
−25.5286 | + | 18.5637i | −1.54506 | + | 1.12353i | |||||
9.80519 | − | 16.9831i | 0.592353 | − | 1.02599i | |||||
13.2541 | + | 7.65226i | 0.799253 | + | 0.461449i | |||||
−7.32823 | + | 8.01980i | −0.441108 | + | 0.482735i | |||||
7.43966 | + | 12.8859i | 0.447006 | + | 0.774237i | 0.998190 | − | 0.0601468i | ||
−0.551183 | + | 0.834384i | ||||||||
− | 0.387396i | − | 0.0232345i | |||||||
19.3723 | − | 1.74935i | 1.15979 | − | 0.104731i | |||||
2.44761i | 0.146273i | |||||||||
14.2995 | − | 8.25582i | 0.853037 | − | 0.492501i | −0.00863764 | − | 0.999963i | ||
0.861674 | + | 0.507462i | ||||||||
−8.93330 | − | 1.96739i | −0.531970 | − | 0.117156i | |||||
0.267833 | − | 0.463900i | 0.0159210 | − | 0.0275760i | −0.857955 | − | 0.513725i | ||
0.873876 | + | 0.486149i | ||||||||
−4.01005 | − | 2.31521i | −0.237953 | − | 0.137382i | |||||
−2.63065 | − | 0.579350i | −0.155826 | − | 0.0343177i | |||||
−8.66485 | − | 7.68122i | −0.512363 | − | 0.454200i | |||||
−55.8709 | −3.29795 | |||||||||
2.98784 | − | 0.269808i | 0.176060 | − | 0.0158986i | |||||
0.660618 | 0.0388599 | |||||||||
1.11198 | + | 1.92601i | 0.0652978 | + | 0.113099i | |||||
16.6868 | + | 15.2479i | 0.978199 | + | 0.893846i | |||||
0.281913 | + | 0.162762i | 0.0164977 | + | 0.00952495i | |||||
−16.9651 | − | 9.79482i | −0.991113 | − | 0.572220i | −0.0855065 | − | 0.996338i | ||
−0.905607 | + | 0.424118i | ||||||||
30.6236 | − | 9.70258i | 1.78600 | − | 0.565866i | |||||
−0.877257 | − | 1.51945i | −0.0510758 | − | 0.0884660i | |||||
2.08429 | 0.121147 | |||||||||
16.5538 | + | 2.10888i | 0.960549 | + | 0.122370i | |||||
9.45874 | 0.547930 | |||||||||
−16.9226 | − | 15.0016i | −0.978659 | − | 0.867562i | |||||
−2.49303 | − | 7.86859i | −0.143935 | − | 0.454293i | |||||
41.4407 | + | 23.9258i | 2.38860 | + | 1.37906i | |||||
0.665819 | − | 1.15323i | 0.0383136 | − | 0.0663611i | |||||
−7.99988 | + | 8.75483i | −0.459581 | + | 0.502952i | |||||
−2.78126 | + | 1.60576i | −0.159516 | + | 0.0920969i | |||||
− | 0.485092i | − | 0.0277763i | |||||||
−5.29619 | + | 11.4410i | −0.302763 | + | 0.654037i | |||||
1.26064i | 0.0719485i | 0.999353 | + | 0.0359743i | ||||||
−0.999353 | + | 0.0359743i | ||||||||
8.11614 | + | 14.0576i | 0.462460 | + | 0.801004i | |||||
−6.01368 | − | 1.32440i | −0.342106 | − | 0.0753424i | |||||
2.71912 | + | 1.56988i | 0.154436 | + | 0.0891634i | |||||
8.79222 | − | 15.2286i | 0.498561 | − | 0.863533i | −0.501438 | − | 0.865194i | ||
0.999999 | + | 0.00166095i | ||||||||
0.655337 | + | 6.21052i | 0.0371011 | + | 0.351601i | |||||
−0.102706 | − | 0.177891i | −0.00580526 | − | 0.0100550i | 0.863108 | − | 0.505019i | ||
−0.868913 | + | 0.494964i | ||||||||
− | 5.84243i | − | 0.329708i | |||||||
6.00312 | − | 4.22845i | 0.338238 | − | 0.238246i | |||||
7.83637 | 0.440830 | |||||||||
−15.6583 | + | 9.04030i | −0.879455 | + | 0.507754i | −0.870479 | − | 0.492206i | ||
−0.00897641 | + | 0.999960i | ||||||||
8.20870 | + | 7.50084i | 0.460321 | + | 0.420626i | |||||
12.7731 | + | 7.37453i | 0.715154 | + | 0.412894i | |||||
0.419378 | + | 0.242128i | 0.0234439 | + | 0.0135354i | |||||
0.739682 | + | 2.33461i | 0.0412850 | + | 0.130305i | |||||
15.8509 | + | 27.4546i | 0.883339 | + | 1.52999i | |||||
− | 13.4963i | − | 0.750954i | |||||||
−5.82348 | − | 6.86200i | −0.323527 | − | 0.381222i | |||||
16.2997 | − | 5.43597i | 0.904144 | − | 0.301533i | |||||
7.56698 | + | 13.1064i | 0.419096 | + | 0.725896i | |||||
−8.21492 | + | 2.60277i | −0.454286 | + | 0.143933i | |||||
−5.52698 | + | 9.57301i | −0.305176 | + | 0.528581i | |||||
−13.3467 | + | 23.1171i | −0.735827 | + | 1.27449i | |||||
1.98853 | + | 1.81706i | 0.109465 | + | 0.100026i | |||||
3.63300 | − | 2.09751i | 0.199688 | − | 0.115290i | −0.396822 | − | 0.917896i | ||
0.596510 | + | 0.802606i | ||||||||
5.86613i | 0.321946i | |||||||||
−3.60077 | − | 5.11201i | −0.197321 | − | 0.280136i | |||||
12.0268 | 0.658078 | |||||||||
−0.261968 | − | 0.453742i | −0.0143128 | − | 0.0247906i | |||||
1.88288 | − | 8.54956i | 0.102719 | − | 0.466417i | |||||
−6.88041 | + | 11.9172i | −0.374800 | + | 0.649172i | −0.990297 | − | 0.138967i | ||
0.615497 | + | 0.788139i | ||||||||
−12.9062 | + | 1.55891i | −0.702004 | + | 0.0847935i | |||||
22.1391 | + | 4.87571i | 1.20243 | + | 0.264812i | |||||
−1.76242 | + | 1.01753i | −0.0955805 | + | 0.0551834i | |||||
20.8226 | 1.12761 | |||||||||
8.74323 | + | 4.04736i | 0.472780 | + | 0.218856i | |||||
− | 58.3615i | − | 3.15123i | |||||||
8.19896 | − | 4.73367i | 0.442059 | − | 0.255223i | |||||
3.88364 | + | 3.54874i | 0.209088 | + | 0.191058i | |||||
−7.67180 | − | 4.42932i | −0.412439 | − | 0.238122i | |||||
11.9351 | − | 20.6722i | 0.640710 | − | 1.10974i | −0.344565 | − | 0.938763i | ||
0.985275 | − | 0.170979i | ||||||||
−2.40255 | − | 7.58300i | −0.128790 | − | 0.406491i | |||||
−16.7557 | + | 9.67391i | −0.896913 | + | 0.517833i | −0.876197 | − | 0.481953i | ||
−0.0207153 | + | 0.999785i | ||||||||
−24.0866 | −1.28748 | |||||||||
14.1000 | − | 12.3365i | 0.752604 | − | 0.658473i | |||||
3.21153 | 0.171175 | |||||||||
−24.0606 | + | 13.8914i | −1.28062 | + | 0.739365i | −0.976961 | − | 0.213417i | ||
−0.303656 | + | 0.952782i | ||||||||
1.89540 | + | 5.98233i | 0.100740 | + | 0.317957i | |||||
−1.12115 | + | 1.94189i | −0.0595046 | + | 0.103065i | |||||
7.29984 | + | 4.21456i | 0.386891 | + | 0.223371i | |||||
27.1592 | + | 24.8172i | 1.43742 | + | 1.31346i | |||||
8.98104 | − | 5.18521i | 0.474663 | − | 0.274047i | |||||
23.8304i | 1.25772i | 0.777517 | + | 0.628861i | ||||||
−0.777517 | + | 0.628861i | ||||||||
−0.130656 | − | 1.44688i | −0.00688617 | − | 0.0762573i | |||||
8.68609 | 0.457162 | |||||||||
9.38833 | − | 5.42035i | 0.493440 | − | 0.284887i | |||||
−1.16053 | − | 0.255584i | −0.0609119 | − | 0.0134147i | |||||
17.8544 | + | 3.65081i | 0.935824 | + | 0.191355i | |||||
0.0788187 | − | 0.136518i | 0.00412556 | − | 0.00714568i | |||||
−0.373168 | + | 1.69444i | −0.0195058 | + | 0.0885697i | |||||
5.04643 | + | 8.74067i | 0.263421 | + | 0.456259i | 0.967149 | − | 0.254211i | ||
−0.703728 | + | 0.710470i | ||||||||
6.27217 | 0.326959 | |||||||||
33.0275 | − | 2.98244i | 1.71934 | − | 0.155260i | |||||
− | 1.00933i | − | 0.0524724i | |||||||
28.1013 | − | 16.2243i | 1.45895 | − | 0.842324i | |||||
−8.29027 | − | 7.57538i | −0.429830 | − | 0.392765i | |||||
4.27370 | − | 7.40227i | 0.221284 | − | 0.383275i | −0.733914 | − | 0.679242i | ||
0.955198 | + | 0.295967i | ||||||||
−6.74815 | + | 11.6881i | −0.348938 | + | 0.604379i | |||||
−7.80832 | + | 2.47394i | −0.403220 | + | 0.127754i | |||||
2.64062 | + | 4.57369i | 0.136180 | + | 0.235870i | |||||
15.7081 | − | 5.23868i | 0.809008 | − | 0.269806i | |||||
−24.2218 | + | 10.1520i | −1.24584 | + | 0.522164i | |||||
− | 30.7125i | − | 1.57760i | −0.614653 | − | 0.788798i | ||||
0.614653 | − | 0.788798i | ||||||||
0.777601 | + | 1.34684i | 0.0398901 | + | 0.0690916i | |||||
−2.38710 | − | 7.53423i | −0.122295 | − | 0.385990i | |||||
−9.74971 | − | 5.62900i | −0.498839 | − | 0.288005i | |||||
−2.49892 | − | 1.44275i | −0.127689 | − | 0.0737212i | 0.434795 | − | 0.900529i | ||
−0.562484 | + | 0.826808i | ||||||||
−1.27863 | − | 1.16837i | −0.0652500 | − | 0.0596233i | |||||
6.80746 | − | 3.93029i | 0.346940 | − | 0.200306i | |||||
7.62566 | 0.388136 | |||||||||
−25.7744 | − | 11.9313i | −1.31019 | − | 0.606504i | |||||
− | 13.0505i | − | 0.662539i | |||||||
5.94776 | + | 10.3018i | 0.301564 | + | 0.522323i | 0.976490 | − | 0.215561i | ||
−0.674927 | + | 0.737885i | ||||||||
3.00748 | − | 0.317351i | 0.152290 | − | 0.0160697i | |||||
−13.1792 | + | 22.8271i | −0.666503 | + | 1.15442i | |||||
−16.0619 | − | 9.27337i | −0.811250 | − | 0.468376i | |||||
−4.17714 | − | 0.919935i | −0.210709 | − | 0.0464046i | |||||
−12.2585 | − | 21.2324i | −0.617575 | − | 1.06967i | |||||
− | 3.79481i | − | 0.190937i | |||||||
−5.54818 | − | 7.87673i | −0.278806 | − | 0.395821i | |||||
23.8021i | 1.19459i | 0.802020 | + | 0.597297i | ||||||
−0.802020 | + | 0.597297i | ||||||||
−11.7182 | + | 6.76550i | −0.587379 | + | 0.339124i | |||||
18.9654 | − | 20.7551i | 0.949455 | − | 1.03906i | |||||
−2.38275 | + | 4.12704i | −0.119137 | + | 0.206352i | |||||
−7.79168 | − | 4.49853i | −0.389098 | − | 0.224646i | 0.292671 | − | 0.956213i | ||
−0.681769 | + | 0.731567i | ||||||||
0.566009 | + | 1.78645i | 0.0282300 | + | 0.0891002i | |||||
15.5075 | − | 17.4933i | 0.772483 | − | 0.871404i | |||||
6.84702 | 0.340652 | |||||||||
−3.32296 | + | 2.82006i | −0.165119 | + | 0.140130i | |||||
−23.2124 | −1.15201 | |||||||||
−3.34687 | − | 5.79695i | −0.165898 | − | 0.287344i | |||||
6.93891 | − | 2.19848i | 0.343527 | − | 0.108841i | |||||
−27.8344 | − | 16.0702i | −1.37632 | − | 0.794620i | −0.384608 | − | 0.923080i | ||
−0.991715 | + | 0.128460i | ||||||||
4.63579 | + | 2.67647i | 0.228945 | + | 0.132182i | |||||
25.0745 | + | 22.9122i | 1.23683 | + | 1.13018i | |||||
1.77760 | + | 3.07889i | 0.0875761 | + | 0.151686i | |||||
18.3126 | 0.901103 | |||||||||
−10.8357 | − | 15.3834i | −0.532545 | − | 0.756052i | |||||
2.84071 | 0.139445 | |||||||||
2.39177 | − | 2.69805i | 0.117266 | − | 0.132283i | |||||
0.655287 | + | 0.144314i | 0.0320895 | + | 0.00706711i | |||||
8.93211 | + | 5.15696i | 0.436884 | + | 0.252235i | |||||
−1.68689 | + | 2.92177i | −0.0824098 | + | 0.142738i | −0.904285 | − | 0.426930i | ||
0.821875 | + | 0.569668i | ||||||||
−4.14017 | − | 0.911795i | −0.202020 | − | 0.0444910i | |||||
−2.26626 | + | 1.30842i | −0.110451 | + | 0.0637687i | −0.554208 | − | 0.832378i | ||
0.443757 | + | 0.896147i | ||||||||
23.8692i | 1.16193i | |||||||||
6.65574 | − | 14.3779i | 0.323613 | − | 0.699078i | |||||
− | 6.41990i | − | 0.311778i | |||||||
−10.0134 | − | 17.3437i | −0.485721 | − | 0.841293i | |||||
5.41005 | − | 5.92060i | 0.262118 | − | 0.286854i | |||||
4.38478 | + | 2.53155i | 0.212194 | + | 0.122510i | |||||
0.706961 | − | 1.22449i | 0.0341722 | − | 0.0591880i | |||||
16.2208 | − | 11.7953i | 0.783147 | − | 0.569482i | |||||
−2.29231 | − | 3.97040i | −0.110545 | − | 0.191470i | |||||
1.25113i | 0.0602647i | 0.999546 | + | 0.0301324i | ||||||
−0.999546 | + | 0.0301324i | ||||||||
−0.656660 | + | 5.15449i | −0.0315936 | + | 0.247996i | |||||
−4.77117 | −0.229288 | −0.114644 | − | 0.993407i | ||||||
−0.114644 | + | 0.993407i | ||||||||
−28.3806 | + | 16.3855i | −1.36231 | + | 0.786530i | |||||
−3.67211 | + | 1.16345i | −0.176064 | + | 0.0557831i | |||||
4.30869 | + | 2.48763i | 0.206349 | + | 0.119136i | |||||
17.4446 | + | 10.0716i | 0.834486 | + | 0.481791i | |||||
−0.380335 | + | 0.416227i | −0.0181731 | + | 0.0198881i | |||||
−16.8509 | − | 29.1867i | −0.804252 | − | 1.39300i | −0.916795 | − | 0.399358i | ||
0.112543 | − | 0.993647i | ||||||||
− | 1.55520i | − | 0.0741413i | |||||||
5.00405 | + | 55.4147i | 0.238288 | + | 2.63880i | |||||
4.79371 | + | 14.3739i | 0.228014 | + | 0.683696i | |||||
2.68876 | + | 4.65706i | 0.127747 | + | 0.221264i | 0.922803 | − | 0.385272i | ||
−0.795057 | + | 0.606535i | ||||||||
−0.776447 | + | 3.52560i | −0.0368485 | + | 0.167318i | |||||
2.04093 | − | 3.53499i | 0.0967492 | − | 0.167575i | |||||
−6.43490 | + | 11.1456i | −0.304701 | + | 0.527758i | |||||
−3.52361 | + | 15.9996i | −0.166661 | + | 0.756756i | |||||
−4.37722 | + | 2.52719i | −0.206804 | + | 0.119398i | |||||
− | 16.7813i | − | 0.791958i | −0.918260 | − | 0.395979i | ||||
0.918260 | − | 0.395979i | ||||||||
14.2386 | − | 1.28577i | 0.671212 | − | 0.0606116i | |||||
35.5001 | 1.67163 | |||||||||
−6.54415 | − | 11.3348i | −0.307811 | − | 0.533145i | |||||
1.70268 | + | 1.55585i | 0.0799988 | + | 0.0731002i | |||||
−9.02759 | + | 15.6362i | −0.423686 | + | 0.733845i | |||||
1.76793 | − | 8.64609i | 0.0828817 | − | 0.405335i | |||||
−1.68009 | − | 5.30274i | −0.0786773 | − | 0.248324i | |||||
−20.5067 | + | 11.8396i | −0.959263 | + | 0.553831i | −0.895946 | − | 0.444162i | ||
−0.0633172 | + | 0.997993i | ||||||||
−21.1737 | −0.989383 | |||||||||
−17.3796 | − | 13.2206i | −0.811212 | − | 0.617086i | |||||
− | 3.03733i | − | 0.141616i | |||||||
−29.8451 | + | 17.2311i | −1.39003 | + | 0.802533i | −0.993318 | − | 0.115412i | ||
−0.396709 | + | 0.917944i | ||||||||
−26.8020 | + | 8.49179i | −1.24694 | + | 0.395074i | |||||
19.4659 | + | 11.2386i | 0.904657 | + | 0.522304i | 0.878708 | − | 0.477359i | ||
0.0259487 | + | 0.999663i | ||||||||
−2.29627 | + | 3.97725i | −0.106602 | + | 0.184639i | |||||
−3.66842 | + | 4.01461i | −0.170119 | + | 0.186173i | |||||
25.1675 | − | 14.5305i | 1.16586 | − | 0.673111i | |||||
−4.43632 | −0.205288 | −0.102644 | − | 0.994718i | ||||||
−0.102644 | + | 0.994718i | ||||||||
−10.7493 | − | 1.20506i | −0.496887 | − | 0.0557037i | |||||
5.46853 | 0.252513 | |||||||||
2.21484 | − | 1.27874i | 0.102163 | − | 0.0589837i | |||||
9.88257 | + | 2.17645i | 0.455365 | + | 0.100285i | |||||
1.81156 | − | 3.13771i | 0.0833836 | − | 0.144425i | |||||
−26.3312 | − | 15.2023i | −1.21071 | − | 0.699004i | |||||
−2.91924 | + | 13.2553i | −0.134085 | + | 0.608838i | |||||
−13.2541 | + | 7.65226i | −0.608140 | + | 0.351110i | |||||
− | 21.2408i | − | 0.973570i | |||||||
−15.7457 | + | 11.0909i | −0.720948 | + | 0.507818i | |||||
7.26902 | 0.332477 | |||||||||
10.2334 | − | 5.90827i | 0.467577 | − | 0.269956i | −0.247648 | − | 0.968850i | ||
0.715225 | + | 0.698894i | ||||||||
−0.565792 | + | 0.619186i | −0.0258247 | + | 0.0282618i | |||||
−7.36265 | − | 1.50549i | −0.335708 | − | 0.0686446i | |||||
8.95521 | − | 15.5109i | 0.407899 | − | 0.706501i | |||||
−52.3448 | + | 16.5846i | −2.38177 | + | 0.754626i | |||||
0.343044 | + | 0.594169i | 0.0155929 | + | 0.0270077i | |||||
−6.31979 | −0.286967 | |||||||||
13.7766 | − | 7.29425i | 0.624918 | − | 0.330874i | |||||
25.8373i | 1.17080i | 0.810745 | + | 0.585400i | ||||||
−0.810745 | + | 0.585400i | ||||||||
0.867521 | − | 0.500864i | 0.0392708 | − | 0.0226730i | |||||
−24.9885 | + | 7.91721i | −1.13002 | + | 0.358029i | |||||
−4.49068 | + | 7.77809i | −0.202868 | + | 0.351378i | |||||
−5.59995 | + | 9.69940i | −0.252722 | + | 0.437728i | −0.964274 | − | 0.264906i | ||
0.711552 | + | 0.702633i | ||||||||
−14.1340 | − | 12.9152i | −0.637208 | − | 0.582260i | |||||
−9.64996 | − | 16.7142i | −0.434612 | − | 0.752771i | |||||
10.9846 | − | 3.66337i | 0.494219 | − | 0.164823i | |||||
−3.81436 | + | 2.68674i | −0.171443 | + | 0.120760i | |||||
6.48369i | 0.291126i | |||||||||
−11.7019 | − | 20.2683i | −0.524903 | − | 0.909159i | |||||
−9.92265 | − | 2.18527i | −0.444644 | − | 0.0979245i | |||||
−13.3884 | − | 7.72982i | −0.599349 | − | 0.346034i | 0.169436 | − | 0.985541i | ||
−0.768786 | + | 0.639507i | ||||||||
4.09543 | + | 2.36450i | 0.183153 | + | 0.105744i | |||||
−4.48028 | + | 20.3435i | −0.200164 | + | 0.908883i | |||||
−3.33162 | + | 1.92351i | −0.148697 | + | 0.0858505i | |||||
−6.00330 | −0.267674 | −0.133837 | − | 0.991003i | ||||||
−0.133837 | + | 0.991003i | ||||||||
13.7603 | + | 6.36984i | 0.612932 | + | 0.283735i | |||||
− | 3.31571i | − | 0.147547i | |||||||
−10.0716 | − | 17.4446i | −0.447738 | − | 0.775505i | |||||
2.17095 | − | 22.4118i | 0.0964153 | − | 0.995341i | |||||
−2.28150 | + | 3.95167i | −0.101225 | + | 0.175327i | |||||
18.6801 | + | 10.7849i | 0.827979 | + | 0.478034i | 0.853160 | − | 0.521649i | ||
−0.0251810 | + | 0.999683i | ||||||||
−1.06463 | − | 3.36021i | −0.0471425 | − | 0.148793i | |||||
0.822663 | + | 1.42489i | 0.0363925 | + | 0.0630336i | |||||
1.00000i | 0.0441942i | |||||||||
−10.1032 | + | 13.2816i | −0.446069 | + | 0.586396i | |||||
− | 14.7675i | − | 0.651367i | |||||||
1.49097 | − | 0.860814i | 0.0657001 | − | 0.0379320i | |||||
4.95277 | + | 15.6321i | 0.218034 | + | 0.688164i | |||||
8.48043 | − | 14.6885i | 0.372969 | − | 0.646001i | |||||
9.12337 | + | 5.26738i | 0.400858 | + | 0.231435i | |||||
10.3502 | − | 11.3269i | 0.454323 | − | 0.497198i | |||||
−1.30655 | − | 1.15823i | −0.0572958 | − | 0.0507916i | |||||
24.0543 | 1.05384 | 0.526918 | − | 0.849916i | ||||||
0.526918 | + | 0.849916i | ||||||||
13.7218 | − | 1.23910i | 0.600586 | − | 0.0542340i | |||||
−10.8449 | −0.474215 | −0.237107 | − | 0.971483i | ||||||
−0.237107 | + | 0.971483i | ||||||||
1.23473 | + | 2.13862i | 0.0539395 | + | 0.0934260i | |||||
8.97285 | − | 40.7429i | 0.391607 | − | 1.77817i | |||||
−7.58853 | − | 4.38124i | −0.330876 | − | 0.191031i | |||||
−23.5970 | − | 13.6237i | −1.02790 | − | 0.593458i | |||||
−1.19637 | + | 5.43235i | −0.0520654 | + | 0.236413i | |||||
−8.17003 | − | 14.1509i | −0.355219 | − | 0.615257i | |||||
−3.10888 | −0.135041 | |||||||||
−10.8253 | + | 0.977543i | −0.469777 | + | 0.0424218i | |||||
−16.2323 | −0.703758 | |||||||||
26.4385 | − | 29.8241i | 1.14518 | − | 1.29183i | |||||
−9.84836 | + | 10.7778i | −0.426180 | + | 0.466399i | |||||
−0.592967 | − | 0.342350i | −0.0256362 | − | 0.0148011i | |||||
0.540970 | − | 0.936987i | 0.0233663 | − | 0.0404717i | |||||
5.42520 | + | 17.1232i | 0.234115 | + | 0.738920i | |||||
−7.71400 | + | 4.45368i | −0.332574 | + | 0.192012i | |||||
59.5633i | 2.56558i | |||||||||
2.49609 | + | 0.317991i | 0.107415 | + | 0.0136842i | |||||
− | 12.2998i | − | 0.528808i | −0.964412 | − | 0.264404i | ||||
0.964412 | − | 0.264404i | ||||||||
−1.79275 | − | 3.10514i | −0.0770054 | − | 0.133377i | |||||
5.67123 | + | 17.8997i | 0.243376 | + | 0.768150i | |||||
−3.63943 | − | 2.10123i | −0.156039 | − | 0.0900894i | |||||
1.20465 | − | 2.08651i | 0.0516014 | − | 0.0893763i | |||||
−12.8266 | + | 28.8410i | −0.548928 | + | 1.23428i | |||||
10.3452 | + | 17.9183i | 0.442327 | + | 0.766133i | 0.997862 | − | 0.0653602i | ||
−0.555534 | + | 0.831493i | ||||||||
− | 19.6104i | − | 0.837714i | |||||||
−2.72715 | − | 1.26244i | −0.116392 | − | 0.0538795i | |||||
15.3045 | 0.652587 | |||||||||
−12.7731 | + | 7.37453i | −0.544151 | + | 0.314165i | |||||
−2.33653 | + | 10.6095i | −0.0994495 | + | 0.451569i | |||||
34.3015 | + | 19.8040i | 1.45865 | + | 0.842151i | |||||
12.8859 | + | 7.43966i | 0.547468 | + | 0.316081i | |||||
1.70729 | + | 0.375999i | 0.0724706 | + | 0.0159603i | |||||
−0.193698 | − | 0.335495i | −0.00821463 | − | 0.0142282i | |||||
− | 14.2838i | − | 0.605226i | −0.953114 | − | 0.302613i | ||||
0.953114 | − | 0.302613i | ||||||||
15.9022 | − | 11.2011i | 0.673193 | − | 0.474181i | |||||
−32.3817 | + | 10.7993i | −1.36960 | + | 0.456764i | |||||
1.22381 | + | 2.11969i | 0.0517152 | + | 0.0895734i | |||||
−17.2568 | − | 15.7687i | −0.728584 | − | 0.665756i | |||||
8.25582 | − | 14.2995i | 0.348251 | − | 0.603188i | |||||
17.9673 | − | 31.1203i | 0.757231 | − | 1.31156i | −0.187026 | − | 0.982355i | ||
0.944257 | − | 0.329208i | ||||||||
−8.72016 | + | 2.76284i | −0.367185 | + | 0.116337i | |||||
−5.48895 | + | 3.16905i | −0.230922 | + | 0.133323i | |||||
− | 0.535666i | − | 0.0225157i | |||||||
−8.14910 | − | 44.7535i | −0.342230 | − | 1.87947i | |||||
−4.63041 | −0.194288 | |||||||||
18.5315 | + | 32.0976i | 0.776882 | + | 1.34560i | 0.933730 | + | 0.357977i | ||
−0.156848 | + | 0.987623i | ||||||||
−2.56788 | + | 0.813592i | −0.107557 | + | 0.0340776i | |||||
23.1732 | − | 40.1372i | 0.969769 | − | 1.67969i | 0.273551 | − | 0.961857i | ||
0.696217 | − | 0.717831i | ||||||||
−11.3446 | − | 2.31971i | −0.474341 | − | 0.0969919i | |||||
13.1535 | − | 14.3949i | 0.549497 | − | 0.601354i | |||||
−48.3856 | + | 27.9354i | −2.01958 | + | 1.16600i | |||||
29.8900 | 1.24650 | |||||||||
2.45264 | − | 1.72758i | 0.102193 | − | 0.0719826i | |||||
− | 31.4447i | − | 1.30906i | −0.756036 | − | 0.654530i | ||||
0.756036 | − | 0.654530i | ||||||||
0.572112 | − | 0.330309i | 0.0237967 | − | 0.0137390i | |||||
−2.84074 | + | 12.8989i | −0.118057 | + | 0.536061i | |||||
1.92601 | + | 1.11198i | 0.0799731 | + | 0.0461725i | |||||
−14.8248 | + | 25.6773i | −0.615037 | + | 1.06527i | |||||
22.0751 | + | 4.86163i | 0.915044 | + | 0.201521i | |||||
−17.8555 | + | 10.3088i | −0.739497 | + | 0.426949i | |||||
0.325525 | 0.0134703 | |||||||||
−0.583555 | + | 5.20542i | −0.0241270 | + | 0.215218i | |||||
−19.5896 | −0.809241 | |||||||||
27.0638 | − | 15.6253i | 1.11704 | − | 0.644924i | 0.176397 | − | 0.984319i | ||
0.940644 | + | 0.339395i | ||||||||
21.6695 | − | 23.7145i | 0.893635 | − | 0.977968i | |||||
−10.4113 | + | 18.0329i | −0.428989 | + | 0.743031i | |||||
−1.51945 | − | 0.877257i | −0.0625549 | − | 0.0361161i | |||||
40.4815 | − | 12.8259i | 1.66519 | − | 0.527587i | |||||
1.80504 | − | 1.04214i | 0.0741868 | − | 0.0428318i | |||||
26.3978i | 1.08403i | 0.840370 | + | 0.542013i | ||||||
−0.840370 | + | 0.542013i | ||||||||
15.3905 | − | 6.45055i | 0.631478 | − | 0.264669i | |||||
−10.2860 | −0.421684 | |||||||||
8.19151 | − | 4.72937i | 0.335537 | − | 0.193723i | |||||
−7.07864 | − | 22.3418i | −0.289709 | − | 0.914389i | |||||
−22.1562 | − | 4.53043i | −0.906033 | − | 0.185263i | |||||
3.40524 | − | 5.89806i | 0.139135 | − | 0.240988i | −0.788035 | − | 0.615631i | ||
0.927169 | + | 0.374643i | ||||||||
−6.09332 | − | 5.56788i | −0.248759 | − | 0.227308i | |||||
−4.82516 | − | 8.35742i | −0.196822 | − | 0.340906i | 0.750674 | − | 0.660673i | ||
−0.947496 | + | 0.319766i | ||||||||
47.8516 | 1.95028 | |||||||||
−3.23267 | + | 0.291916i | −0.131644 | + | 0.0118877i | |||||
− | 1.33164i | − | 0.0541836i | |||||||
0.287730 | − | 0.166121i | 0.0116979 | − | 0.00675377i | |||||
−2.55068 | + | 11.5818i | −0.103614 | + | 0.470480i | |||||
−13.7896 | + | 23.8842i | −0.559702 | + | 0.969432i | 0.437819 | + | 0.899063i | ||
−0.997521 | + | 0.0703688i | ||||||||
−1.60576 | + | 2.78126i | −0.0651223 | + | 0.112795i | |||||
8.64718 | − | 39.2642i | 0.350402 | − | 1.59106i | |||||
−0.242546 | − | 0.420102i | −0.00982041 | − | 0.0170094i | |||||
−6.02428 | − | 18.0637i | −0.243716 | − | 0.730779i | |||||
1.13385 | + | 12.5563i | 0.0458333 | + | 0.507557i | |||||
16.0314i | 0.647502i | 0.946142 | + | 0.323751i | ||||||
−0.946142 | + | 0.323751i | ||||||||
0.630320 | + | 1.09175i | 0.0254377 | + | 0.0440593i | |||||
−6.25424 | + | 6.84446i | −0.252195 | + | 0.275995i | |||||
14.0576 | + | 8.11614i | 0.566395 | + | 0.327009i | |||||
11.4362 | + | 6.60269i | 0.460404 | + | 0.265814i | 0.712214 | − | 0.701962i | ||
−0.251810 | + | 0.967777i | ||||||||
−5.87020 | + | 1.85988i | −0.236134 | + | 0.0748152i | |||||
1.53649 | − | 0.887091i | 0.0617566 | − | 0.0356552i | −0.468804 | − | 0.883302i | ||
0.530560 | + | 0.847647i | ||||||||
3.13977 | 0.126096 | |||||||||
30.0578 | − | 12.5980i | 1.20618 | − | 0.505542i | |||||
− | 17.5844i | − | 0.705072i | |||||||
21.3020 | + | 36.8961i | 0.853446 | + | 1.47821i | |||||
3.67280 | + | 5.05080i | 0.147030 | + | 0.202194i | |||||
−10.7687 | + | 18.6520i | −0.430749 | + | 0.746079i | |||||
−0.177891 | − | 0.102706i | −0.00710997 | − | 0.00410494i | |||||
−12.0505 | + | 13.1877i | −0.481251 | + | 0.526667i | |||||
−2.92122 | − | 5.05970i | −0.116569 | − | 0.201904i | |||||
8.75911i | 0.349249i | |||||||||
3.08463 | − | 6.66351i | 0.122895 | − | 0.265480i | |||||
30.2211i | 1.20308i | 0.798841 | + | 0.601542i | ||||||
−0.798841 | + | 0.601542i | ||||||||
6.78649 | − | 3.91818i | 0.269952 | − | 0.155857i | |||||
−40.3751 | − | 8.89184i | −1.60476 | − | 0.353419i | |||||
−9.04030 | + | 15.6583i | −0.359036 | + | 0.621869i | |||||
1.91362 | + | 1.10483i | 0.0759397 | + | 0.0438438i | |||||
10.8594 | + | 2.39157i | 0.430602 | + | 0.0948319i | |||||
50.0399 | + | 44.3594i | 1.98265 | + | 1.75759i | |||||
14.7491 | 0.583921 | |||||||||
7.99942 | + | 11.3568i | 0.316452 | + | 0.449266i | |||||
0.484256 | 0.0191419 | |||||||||
0.301673 | + | 0.522512i | 0.0119154 | + | 0.0206380i | 0.871922 | − | 0.489646i | ||
−0.860006 | + | 0.510284i | ||||||||
1.80789 | + | 1.65199i | 0.0713516 | + | 0.0651988i | |||||
27.0250 | + | 15.6029i | 1.06576 | + | 0.615317i | 0.927020 | − | 0.375012i | ||
0.138740 | + | 0.990329i | ||||||||
27.4546 | + | 15.8509i | 1.08186 | + | 0.624615i | |||||
7.56993 | − | 2.39841i | 0.298066 | − | 0.0944373i | |||||
−6.74815 | − | 11.6881i | −0.265502 | − | 0.459864i | |||||
−48.8937 | −1.92221 | −0.961105 | − | 0.276182i | ||||||
−0.961105 | + | 0.276182i | ||||||||
−8.47428 | − | 3.03092i | −0.332901 | − | 0.119066i | |||||
−11.6357 | −0.456742 | |||||||||
11.3980 | − | 12.8575i | 0.447064 | − | 0.504314i | |||||
−17.1439 | − | 54.1102i | −0.671923 | − | 2.12074i | |||||
13.1064 | + | 7.56698i | 0.513286 | + | 0.296346i | |||||
−19.1944 | + | 33.2457i | −0.751135 | + | 1.30100i | 0.196138 | + | 0.980576i | ||
−0.947273 | + | 0.320427i | ||||||||
−5.81295 | + | 6.36152i | −0.227304 | + | 0.248755i | |||||
1.03564 | − | 0.597926i | 0.0404658 | − | 0.0233629i | |||||
11.0540i | 0.431585i | |||||||||
−0.562371 | − | 0.798397i | −0.0219402 | − | 0.0311484i | |||||
26.6934i | 1.04062i | |||||||||
20.9568 | + | 36.2983i | 0.816362 | + | 1.41398i | 0.908346 | + | 0.418220i | ||
−0.0919840 | + | 0.995760i | ||||||||
2.63065 | + | 0.579350i | 0.102398 | + | 0.0225512i | |||||
10.5208 | + | 6.07418i | 0.409211 | + | 0.236258i | 0.690451 | − | 0.723379i | ||
−0.281240 | + | 0.959638i | ||||||||
2.09751 | − | 3.63300i | 0.0815221 | − | 0.141200i | |||||
−26.0994 | + | 2.75402i | −1.01362 | + | 0.106957i | |||||
2.93306 | + | 5.08022i | 0.113825 | + | 0.197151i | |||||
7.86058i | 0.304820i | |||||||||
−5.67437 | − | 2.62674i | −0.219877 | − | 0.101784i | |||||
28.8051 | 1.11534 | |||||||||
10.4155 | − | 6.01341i | 0.402989 | − | 0.232666i | |||||
−16.4558 | − | 15.0367i | −0.636216 | − | 0.581353i | |||||
−0.453742 | − | 0.261968i | −0.0175296 | − | 0.0101207i | |||||
−2.78607 | − | 1.60854i | −0.107555 | − | 0.0620969i | |||||
−2.64416 | − | 8.34557i | −0.102001 | − | 0.321938i | |||||
−18.3252 | − | 31.7403i | −0.706386 | − | 1.22350i | −0.966189 | − | 0.257835i | ||
0.259803 | − | 0.965662i | ||||||||
13.7608i | 0.530047i | |||||||||
−3.12931 | + | 24.5637i | −0.120447 | + | 0.945458i | |||||
−10.3976 | + | 7.80315i | −0.399909 | + | 0.300121i | |||||
−19.2964 | − | 33.4223i | −0.741620 | − | 1.28452i | −0.951757 | − | 0.306851i | ||
0.210138 | − | 0.977672i | ||||||||
21.6109 | − | 6.84705i | 0.829960 | − | 0.262959i | |||||
32.9811 | − | 57.1249i | 1.26570 | − | 2.19225i | |||||
−1.01753 | + | 1.76242i | −0.0390206 | + | 0.0675856i | |||||
−23.0860 | − | 21.0952i | −0.884656 | − | 0.808369i | |||||
18.0329 | − | 10.4113i | 0.690514 | − | 0.398669i | |||||
− | 31.4038i | − | 1.20163i | −0.799387 | − | 0.600816i | ||||
0.799387 | − | 0.600816i | ||||||||
9.59554 | − | 0.866495i | 0.366895 | − | 0.0331313i | |||||
−9.49644 | −0.362840 | |||||||||
−29.1808 | − | 50.5426i | −1.11413 | − | 1.92972i | |||||
7.88772 | − | 35.8157i | 0.300935 | − | 1.36645i | |||||
4.73367 | − | 8.19896i | 0.180470 | − | 0.312583i | |||||
−4.63714 | + | 22.6780i | −0.176661 | + | 0.863965i | |||||
5.13770 | + | 1.13148i | 0.195589 | + | 0.0430747i | |||||
−16.6786 | + | 9.62941i | −0.634485 | + | 0.366320i | −0.782487 | − | 0.622667i | ||
0.148002 | + | 0.988987i | ||||||||
−8.85863 | −0.336755 | |||||||||
−4.37959 | − | 48.4995i | −0.166367 | − | 1.84234i | |||||
− | 23.8702i | − | 0.906100i | |||||||
−0.162465 | + | 0.0937995i | −0.00616266 | + | 0.00355802i | |||||
−5.87217 | − | 5.36580i | −0.222584 | − | 0.203390i | |||||
−40.2301 | − | 23.2269i | −1.52383 | − | 0.879781i | |||||
−9.67391 | + | 16.7557i | −0.366163 | + | 0.634213i | |||||
15.2030 | + | 47.9842i | 0.575031 | + | 1.81493i | |||||
−20.8596 | + | 12.0433i | −0.788420 | + | 0.455194i | |||||
−26.7781 | −1.01139 | −0.505697 | − | 0.862711i | ||||||
−0.505697 | + | 0.862711i | ||||||||
6.04275 | − | 17.7337i | 0.228069 | − | 0.669316i | |||||
6.69374 | 0.252459 | |||||||||
2.78126 | − | 1.60576i | 0.104823 | − | 0.0605195i | |||||
1.33792 | + | 4.22279i | 0.0503891 | + | 0.159039i | |||||
−13.8914 | + | 24.0606i | −0.522810 | + | 0.905533i | |||||
29.9709 | + | 17.3037i | 1.12717 | + | 0.650773i | |||||
4.63263 | + | 4.23315i | 0.174105 | + | 0.159091i | |||||
−40.2439 | + | 23.2348i | −1.51139 | + | 0.872602i | −0.511479 | + | 0.859296i | ||
−0.999911 | + | 0.0133058i | ||||||||
2.24230i | 0.0841522i | |||||||||
−21.3341 | − | 9.87587i | −0.800092 | − | 0.370374i | |||||
8.42912 | 0.315895 | |||||||||
35.2185 | − | 20.3334i | 1.31894 | − | 0.761492i | |||||
35.9291 | + | 7.91271i | 1.34461 | + | 0.296126i | |||||
−1.12333 | + | 5.49369i | −0.0420103 | + | 0.205452i | |||||
5.18521 | − | 8.98104i | 0.193780 | − | 0.335637i | |||||
−2.70789 | + | 12.2957i | −0.101128 | + | 0.459190i | |||||
11.9152 | + | 20.6378i | 0.444672 | + | 0.770195i | |||||
−4.81378 | −0.179524 | −0.0897619 | − | 0.995963i | ||||||
−0.0897619 | + | 0.995963i | ||||||||
−0.836592 | − | 1.18771i | −0.0311779 | − | 0.0442632i | |||||
17.9693i | 0.669213i | |||||||||
7.52237 | − | 4.34304i | 0.279954 | − | 0.161631i | |||||
22.9009 | + | 20.9261i | 0.851693 | + | 0.778249i | |||||
5.42035 | − | 9.38833i | 0.201446 | − | 0.348914i | |||||
−10.9429 | + | 18.9536i | −0.406407 | + | 0.703918i | |||||
−1.13284 | + | 0.358921i | −0.0420436 | + | 0.0133208i | |||||
−6.35915 | − | 11.0144i | −0.235848 | − | 0.408501i | 0.723671 | − | 0.690145i | ||
−0.959519 | + | 0.281645i | ||||||||
17.2878 | − | 5.76550i | 0.640727 | − | 0.213684i | |||||
7.20624 | + | 26.0206i | 0.266898 | + | 0.963725i | |||||
− | 0.157637i | − | 0.00583442i | |||||||
19.8930 | + | 34.4558i | 0.735771 | + | 1.27439i | |||||
0.524046 | + | 1.65401i | 0.0193693 | + | 0.0611340i | |||||
3.68483 | + | 2.12744i | 0.136102 | + | 0.0785787i | 0.566505 | − | 0.824058i | ||
−0.430403 | + | 0.902637i | ||||||||
8.74067 | + | 5.04643i | 0.322624 | + | 0.186267i | |||||
−11.4839 | − | 10.4936i | −0.423589 | − | 0.387062i | |||||
5.43186 | − | 3.13608i | 0.200221 | − | 0.115598i | |||||
−3.47468 | −0.127991 | |||||||||
27.1114 | − | 19.0966i | 0.997986 | − | 0.702956i | |||||
− | 9.71484i | − | 0.357366i | −0.983907 | − | 0.178683i | ||||
0.983907 | − | 0.178683i | ||||||||
−0.504664 | − | 0.874103i | −0.0185518 | − | 0.0321327i | |||||
2.10463 | + | 19.9453i | 0.0773156 | + | 0.732707i | |||||
16.2243 | − | 28.1013i | 0.595613 | − | 1.03163i | |||||
−10.6739 | − | 6.16261i | −0.391589 | − | 0.226084i | 0.291259 | − | 0.956644i | ||
−0.682848 | + | 0.730560i | ||||||||
−10.9673 | − | 2.41533i | −0.402080 | − | 0.0885504i | |||||
−2.29023 | − | 3.96679i | −0.0839074 | − | 0.145332i | |||||
− | 8.54741i | − | 0.312943i | |||||||
7.39285 | − | 15.9702i | 0.270490 | − | 0.584321i | |||||
13.4963i | 0.493474i | |||||||||
6.18904 | − | 3.57325i | 0.226143 | − | 0.130564i | |||||
−5.52524 | + | 6.04666i | −0.201753 | + | 0.220793i | |||||
1.43490 | − | 2.48532i | 0.0523603 | − | 0.0906908i | −0.838657 | − | 0.544660i | ||
0.891018 | + | 0.453969i | ||||||||
4.57369 | + | 2.64062i | 0.166785 | + | 0.0962935i | |||||
−2.01254 | − | 6.35204i | −0.0733410 | − | 0.231481i | |||||
10.9843 | − | 12.3909i | 0.400024 | − | 0.451249i | |||||
−0.644854 | −0.0234686 | |||||||||
−15.9007 | + | 20.9028i | −0.578304 | + | 0.760229i | |||||
33.1438 | 1.20463 | 0.602316 | − | 0.798258i | ||||||
0.602316 | + | 0.798258i | ||||||||
−15.3563 | − | 26.5978i | −0.557764 | − | 0.966076i | |||||
33.2597 | − | 10.5378i | 1.20725 | − | 0.382497i | |||||
1.34684 | + | 0.777601i | 0.0488552 | + | 0.0282065i | |||||
37.0264 | + | 21.3772i | 1.34221 | + | 0.774923i | 0.987131 | − | 0.159915i | ||
0.355075 | + | 0.934838i | ||||||||
−5.83440 | − | 5.33128i | −0.211358 | − | 0.193132i | |||||
12.5734 | + | 21.7778i | 0.455188 | + | 0.788408i | |||||
−11.2580 | −0.407300 | |||||||||
6.08045 | − | 0.549076i | 0.219839 | − | 0.0198519i | |||||
−2.88551 | −0.104258 | |||||||||
−8.66563 | + | 9.77532i | −0.312898 | + | 0.352966i | |||||
−1.69152 | − | 0.372524i | −0.0610373 | − | 0.0134423i | |||||
41.6797 | + | 24.0638i | 1.50301 | + | 0.867762i | 0.999994 | + | 0.00348401i | ||
0.503014 | + | 0.864278i | ||||||||
3.93029 | − | 6.80746i | 0.141638 | − | 0.245324i | |||||
24.9795 | + | 5.50125i | 0.899614 | + | 0.198123i | |||||
6.60401 | − | 3.81283i | 0.237684 | − | 0.137227i | |||||
− | 21.3661i | − | 0.768484i | −0.923232 | − | 0.384242i | ||||
0.923232 | − | 0.384242i | ||||||||
−28.2869 | + | 2.55436i | −1.01675 | + | 0.0918147i | |||||
30.8980i | 1.10989i | |||||||||
−6.52525 | − | 11.3021i | −0.234243 | − | 0.405721i | |||||
−12.3085 | + | 13.4701i | −0.441566 | + | 0.483237i | |||||
10.3018 | + | 5.94776i | 0.369338 | + | 0.213238i | |||||
−17.7501 | + | 30.7440i | −0.635962 | + | 1.10152i | |||||
2.44588 | − | 1.77857i | 0.0875765 | − | 0.0636832i | |||||
7.43535 | + | 12.8784i | 0.266058 | + | 0.460826i | |||||
26.3585i | 0.942578i | |||||||||
−3.01573 | + | 23.6722i | −0.107774 | + | 0.845975i | |||||
−18.5467 | −0.662383 | |||||||||
−2.45019 | + | 1.41462i | −0.0874510 | + | 0.0504898i | |||||
−4.07747 | + | 1.29188i | −0.145439 | + | 0.0460799i | |||||
−29.5928 | − | 17.0854i | −1.05487 | − | 0.609029i | −0.130860 | − | 0.991401i | ||
−0.924008 | + | 0.382372i | ||||||||
−21.2324 | − | 12.2585i | −0.756372 | − | 0.436691i | |||||
10.2379 | − | 11.2040i | 0.364477 | − | 0.398873i | |||||
−1.89740 | − | 3.28640i | −0.0675066 | − | 0.116925i | |||||
− | 66.1533i | − | 2.35214i | |||||||
−8.74323 | − | 4.04736i | −0.310677 | − | 0.143817i | |||||
−3.42626 | + | 1.14266i | −0.121670 | + | 0.0405772i | |||||
11.9011 | + | 20.6132i | 0.422353 | + | 0.731537i | |||||
1.15813 | − | 5.25871i | 0.0410747 | − | 0.186507i | |||||
−6.76550 | + | 11.7182i | −0.239797 | + | 0.415340i | |||||
−6.26917 | + | 10.8585i | −0.222066 | + | 0.384629i | −0.955435 | − | 0.295201i | ||
0.733369 | + | 0.679830i | ||||||||
6.04691 | − | 27.4571i | 0.214058 | − | 0.971973i | |||||
−19.2207 | + | 11.0971i | −0.679980 | + | 0.392587i | |||||
4.76550i | 0.168486i | |||||||||
−14.5620 | − | 20.6736i | −0.514523 | − | 0.730467i | |||||
−8.99705 | −0.317697 | |||||||||
−0.522716 | − | 0.905371i | −0.0184463 | − | 0.0319498i | |||||
1.38340 | + | 1.26411i | 0.0487889 | + | 0.0445817i | |||||
7.67592 | − | 13.2951i | 0.270540 | − | 0.468590i | |||||
4.68322 | − | 22.9034i | 0.164959 | − | 0.806737i | |||||
−4.65982 | − | 14.7075i | −0.164033 | − | 0.517727i | |||||
5.92969 | − | 3.42351i | 0.208606 | − | 0.120439i | |||||
−23.7653 | −0.835543 | −0.417772 | − | 0.908552i | ||||||
−0.417772 | + | 0.908552i | ||||||||
−1.46774 | + | 4.10372i | −0.0515712 | + | 0.144190i | |||||
− | 12.1844i | − | 0.427853i | −0.976850 | − | 0.213926i | ||||
0.976850 | − | 0.213926i | ||||||||
−20.1025 | + | 11.6062i | −0.705461 | + | 0.407298i | |||||
5.92024 | − | 1.87573i | 0.207632 | − | 0.0657848i | |||||
−5.79695 | − | 3.34687i | −0.203183 | − | 0.117308i | |||||
3.66435 | − | 6.34685i | 0.128357 | − | 0.222320i | |||||
4.91003 | − | 5.37340i | 0.171886 | − | 0.188107i | |||||
26.3312 | − | 15.2023i | 0.921212 | − | 0.531862i | |||||
−32.1404 | −1.12376 | |||||||||
−44.0067 | − | 32.4403i | −1.53772 | − | 1.13356i | |||||
5.35295 | 0.186933 | |||||||||
−14.8532 | + | 8.57549i | −0.518379 | + | 0.299287i | −0.736271 | − | 0.676686i | ||
0.217892 | + | 0.975973i | ||||||||
33.1713 | + | 7.30534i | 1.15698 | + | 0.254803i | |||||
−19.0983 | + | 33.0792i | −0.665725 | + | 1.15307i | 0.313363 | + | 0.949633i | ||
−0.979088 | + | 0.203436i | ||||||||
3.07889 | + | 1.77760i | 0.107258 | + | 0.0619257i | |||||
−5.70131 | + | 25.8878i | −0.198494 | + | 0.901299i | |||||
15.8592 | − | 9.15629i | 0.551810 | − | 0.318588i | |||||
− | 16.3182i | − | 0.567441i | −0.958907 | − | 0.283721i | ||||
0.958907 | − | 0.283721i | ||||||||
−17.0757 | − | 7.90457i | −0.593420 | − | 0.274703i | |||||
13.6052 | 0.472529 | 0.236265 | − | 0.971689i | ||||||
0.236265 | + | 0.971689i | ||||||||
2.46012 | − | 1.42035i | 0.0853922 | − | 0.0493012i | |||||
−17.3846 | + | 19.0252i | −0.603065 | + | 0.659977i | |||||
0.722307 | − | 3.53246i | 0.0250415 | − | 0.122466i | |||||
38.9709 | − | 67.4996i | 1.35026 | − | 2.33872i | |||||
0.639652 | − | 0.202663i | 0.0221493 | − | 0.00701766i | |||||
−2.91203 | − | 5.04378i | −0.100775 | − | 0.174547i | |||||
10.3139 | 0.356714 | |||||||||
13.0229 | + | 31.0715i | 0.450137 | + | 1.07399i | |||||
3.37377i | 0.116545i | |||||||||
−43.9792 | + | 25.3914i | −1.51833 | + | 0.876609i | −0.518563 | + | 0.855039i | ||
−0.999767 | + | 0.0215696i | ||||||||
−4.04139 | + | 1.28045i | −0.139441 | + | 0.0441797i | |||||
3.95431 | − | 6.84907i | 0.136356 | − | 0.236175i | |||||
−1.30842 | + | 2.26626i | −0.0450913 | + | 0.0781004i | |||||
21.1123 | + | 19.2918i | 0.727148 | + | 0.664443i | |||||
11.9346 | + | 20.6713i | 0.410805 | + | 0.711535i | |||||
3.77872 | + | 5.03512i | 0.129992 | + | 0.173213i | |||||
−1.42492 | − | 15.7795i | −0.0489897 | − | 0.542511i | |||||
3.46774i | 0.119153i | |||||||||
−3.20995 | − | 5.55980i | −0.110230 | − | 0.190924i | |||||
0.906087 | + | 0.199548i | 0.0310968 | + | 0.00684848i | |||||
−17.3437 | − | 10.0134i | −0.594884 | − | 0.343456i | |||||
−11.3215 | − | 6.53649i | −0.388097 | − | 0.224068i | |||||
1.72494 | − | 7.83242i | 0.0590955 | − | 0.268334i | |||||
31.1360 | − | 17.9764i | 1.06608 | − | 0.615499i | 0.138969 | − | 0.990297i | ||
0.927106 | + | 0.374798i | ||||||||
5.06311 | 0.173256 | |||||||||
−0.419605 | − | 4.64670i | −0.0143502 | − | 0.158914i | |||||
− | 1.41392i | − | 0.0483268i | |||||||
2.28591 | + | 3.95932i | 0.0780853 | + | 0.135248i | 0.902424 | − | 0.430849i | ||
−0.824339 | + | 0.566097i | ||||||||
8.14996 | − | 18.3254i | 0.278235 | − | 0.625619i | |||||
−5.82450 | + | 10.0883i | −0.198729 | + | 0.344209i | −0.948117 | − | 0.317923i | ||
0.749387 | + | 0.662132i | ||||||||
−3.97040 | − | 2.29231i | −0.135389 | − | 0.0781671i | |||||
−29.2284 | − | 92.2517i | −0.996103 | − | 3.14393i | |||||
0.625564 | + | 1.08351i | 0.0213068 | + | 0.0369044i | |||||
26.2523i | 0.893640i | 0.894624 | + | 0.446820i | ||||||
−0.894624 | + | 0.446820i | ||||||||
2.00856 | + | 4.79225i | 0.0683327 | + | 0.163036i | |||||
4.28985i | 0.145859i | |||||||||
−4.13195 | + | 2.38558i | −0.140409 | + | 0.0810655i | |||||
0.345597 | + | 1.09078i | 0.0117371 | + | 0.0370450i | |||||
−16.3855 | + | 28.3806i | −0.556161 | + | 0.963299i | |||||
−21.7950 | − | 12.5834i | −0.739345 | − | 0.426861i | |||||
−2.59842 | + | 2.84363i | −0.0880946 | + | 0.0964082i | |||||
−2.58775 | + | 2.91912i | −0.0876825 | + | 0.0989107i | |||||
4.97525 | 0.168483 | |||||||||
−16.4470 | + | 35.5294i | −0.556648 | + | 1.20249i | |||||
20.1432 | 0.681355 | |||||||||
11.9511 | + | 20.6999i | 0.404020 | + | 0.699783i | |||||
−0.121266 | + | 0.550630i | −0.00409719 | + | 0.0186041i | |||||
−40.5146 | − | 23.3911i | −1.36808 | − | 0.789862i | −0.377398 | − | 0.926051i | ||
−0.990683 | + | 0.136189i | ||||||||
−29.1867 | − | 16.8509i | −0.985003 | − | 0.568692i | |||||
7.29762 | − | 33.1362i | 0.246142 | − | 1.11766i | |||||
−0.777601 | − | 1.34684i | −0.0262129 | − | 0.0454021i | |||||
52.3698 | 1.76438 | 0.882192 | − | 0.470889i | ||||||
0.882192 | + | 0.470889i | ||||||||
32.0410 | + | 45.4885i | 1.07888 | + | 1.53168i | |||||
−28.7233 | −0.966617 | −0.483309 | − | 0.875450i | ||||||
−0.483309 | + | 0.875450i | ||||||||
11.3384 | + | 10.0513i | 0.381352 | + | 0.338061i | |||||
2.04993 | − | 2.24338i | 0.0689075 | − | 0.0754104i | |||||
4.65706 | + | 2.68876i | 0.156457 | + | 0.0903305i | |||||
−6.01188 | + | 10.4129i | −0.201859 | + | 0.349631i | −0.949128 | − | 0.314892i | ||
0.747268 | + | 0.664523i | ||||||||
1.09038 | + | 3.44148i | 0.0365907 | + | 0.115489i | |||||
−19.9732 | + | 11.5316i | −0.669881 | + | 0.386756i | |||||
− | 4.08185i | − | 0.136824i | |||||||
5.17790 | + | 28.4362i | 0.173466 | + | 0.952648i | |||||
12.8698i | 0.430913i | |||||||||
8.48043 | + | 14.6885i | 0.283787 | + | 0.491533i | |||||
4.94827 | + | 15.6179i | 0.165495 | + | 0.522340i | |||||
−4.34912 | − | 2.51097i | −0.145375 | − | 0.0839324i | |||||
−2.52719 | + | 4.37722i | −0.0844274 | + | 0.146233i | |||||
15.9170 | − | 35.7898i | 0.531453 | − | 1.19499i | |||||
−8.39064 | − | 14.5330i | −0.279999 | − | 0.484973i | |||||
29.7766i | 0.993105i | |||||||||
11.6881 | − | 8.23278i | 0.389602 | − | 0.274426i | |||||
26.9793 | 0.898812 | |||||||||
30.7440 | − | 17.7501i | 1.02366 | − | 0.591012i | |||||
−17.8259 | + | 80.9417i | −0.593207 | + | 2.69357i | |||||
−11.3348 | − | 6.54415i | −0.376990 | − | 0.217655i | |||||
−4.54635 | − | 2.62484i | −0.151126 | − | 0.0872526i | |||||
2.25249 | + | 0.496067i | 0.0748339 | + | 0.0164807i | |||||
−13.8974 | − | 24.0710i | −0.461456 | − | 0.799265i | 0.537578 | − | 0.843214i | ||
−0.999034 | + | 0.0439492i | ||||||||
18.0552i | 0.599182i | |||||||||
−18.6407 | − | 8.62903i | −0.618272 | − | 0.286207i | |||||
−2.79198 | − | 8.37170i | −0.0925531 | − | 0.277519i | |||||
10.3296 | + | 17.8914i | 0.342235 | + | 0.592769i | 0.984847 | − | 0.173423i | ||
−0.642612 | + | 0.766191i | ||||||||
−4.10637 | − | 3.75226i | −0.135975 | − | 0.124250i | |||||
9.41962 | − | 16.3153i | 0.311744 | − | 0.539956i | |||||
−11.8396 | + | 20.5067i | −0.391618 | + | 0.678302i | |||||
0.800964 | − | 0.253772i | 0.0264791 | − | 0.00838946i | |||||
−18.3370 | + | 10.5869i | −0.605871 | + | 0.349800i | |||||
12.4816i | 0.412179i | |||||||||
−21.6615 | − | 2.75958i | −0.714937 | − | 0.0910798i | |||||
56.3658 | 1.85933 | 0.929667 | − | 0.368400i | ||||||
0.929667 | + | 0.368400i | ||||||||
−1.51867 | − | 2.63041i | −0.0500690 | − | 0.0867220i | |||||
−2.08152 | + | 0.659495i | −0.0685883 | + | 0.0217311i | |||||
−17.2311 | + | 29.8451i | −0.567476 | + | 0.982898i | |||||
16.3567 | + | 3.34458i | 0.538389 | + | 0.110088i | |||||
−18.9654 | + | 20.7551i | −0.623914 | + | 0.682794i | |||||
8.60193 | − | 4.96633i | 0.282830 | − | 0.163292i | |||||
22.4773 | 0.738649 | |||||||||
−0.959221 | − | 10.6224i | −0.0315049 | − | 0.348885i | |||||
4.59254i | 0.150757i | |||||||||
−1.75111 | + | 1.01100i | −0.0574520 | + | 0.0331699i | −0.528451 | − | 0.848964i | ||
0.470999 | + | 0.882134i | ||||||||
−1.16964 | + | 5.31097i | −0.0383540 | + | 0.174153i | |||||
−51.5834 | − | 29.7817i | −1.69058 | − | 0.976055i | |||||
14.5305 | − | 25.1675i | 0.475962 | − | 0.824390i | |||||
29.7443 | + | 6.55063i | 0.973786 | + | 0.214458i | |||||
−3.84196 | + | 2.21816i | −0.125713 | + | 0.0725804i | |||||
6.53566 | 0.213739 | |||||||||
−9.91171 | + | 4.33105i | −0.323974 | + | 0.141565i | |||||
−15.3243 | −0.500622 | −0.250311 | − | 0.968166i | ||||||
−0.250311 | + | 0.968166i | ||||||||
4.73589 | − | 2.73427i | 0.154632 | − | 0.0892770i | |||||
0.239997 | − | 0.262646i | 0.00783200 | − | 0.00857112i | |||||
1.27874 | − | 2.21484i | 0.0417078 | − | 0.0722400i | |||||
−35.8714 | − | 20.7104i | −1.16938 | − | 0.675139i | −0.215842 | − | 0.976428i | ||
−0.953533 | + | 0.301289i | ||||||||
9.64678 | − | 3.05643i | 0.314309 | − | 0.0995837i | |||||
60.0435 | − | 34.6661i | 1.95529 | − | 1.12888i | |||||
− | 3.62311i | − | 0.117922i | |||||||
10.1223 | + | 7.70002i | 0.329279 | + | 0.250482i | |||||
−30.4047 | −0.988541 | |||||||||
−49.2660 | + | 28.4437i | −1.60093 | + | 0.924297i | −0.609628 | + | 0.792687i | ||
−0.991302 | + | 0.131610i | ||||||||
4.09954 | + | 12.9391i | 0.133147 | + | 0.420242i | |||||
−1.14990 | − | 0.235129i | −0.0373274 | − | 0.00763261i | |||||
−7.65226 | + | 13.2541i | −0.248272 | + | 0.430020i | |||||
−23.1185 | − | 21.1249i | −0.749667 | − | 0.685021i | |||||
−10.6204 | − | 18.3951i | −0.344209 | − | 0.596187i | |||||
−40.5931 | −1.31494 | −0.657470 | − | 0.753481i | ||||||
−0.657470 | + | 0.753481i | ||||||||
−8.09075 | + | 17.4779i | −0.261948 | + | 0.565867i | |||||
5.45175i | 0.176415i | |||||||||
6.29516 | − | 3.63451i | 0.203600 | − | 0.117548i | |||||
−5.49438 | + | 24.9483i | −0.177608 | + | 0.806463i | |||||
5.90827 | − | 10.2334i | 0.190888 | − | 0.330627i | |||||
49.5591 | − | 85.8389i | 1.60035 | − | 2.77188i | |||||
−0.180397 | + | 0.819127i | −0.00582229 | + | 0.0264372i | |||||
5.51914 | + | 9.55944i | 0.178037 | + | 0.308369i | |||||
−7.12899 | + | 2.37753i | −0.229848 | + | 0.0766547i | |||||
−3.46785 | + | 2.44266i | −0.111750 | + | 0.0787138i | |||||
− | 17.9104i | − | 0.576856i | |||||||
−1.84638 | − | 3.19803i | −0.0594372 | − | 0.102948i | |||||
−37.0396 | + | 40.5351i | −1.19173 | + | 1.30420i | |||||
43.2958 | + | 24.9968i | 1.39230 | + | 0.803844i | 0.993569 | − | 0.113225i | ||
0.398729 | + | 0.917069i | ||||||||
0.594169 | + | 0.343044i | 0.0190973 | + | 0.0110258i | |||||
22.2845 | − | 7.06049i | 0.715882 | − | 0.226816i | |||||
−5.47310 | + | 3.15989i | −0.175730 | + | 0.101458i | |||||
−31.1467 | −0.999546 | −0.499773 | − | 0.866156i | ||||||
−0.499773 | + | 0.866156i | ||||||||
8.28373 | − | 13.2053i | 0.265701 | − | 0.423560i | |||||
− | 1.95805i | − | 0.0627721i | |||||||
12.9186 | + | 22.3758i | 0.413940 | + | 0.716965i | |||||
17.5027 | + | 24.0696i | 0.560535 | + | 0.770843i | |||||
0.500864 | − | 0.867521i | 0.0160323 | − | 0.0277687i | |||||
−5.97565 | − | 3.45004i | −0.191178 | − | 0.110377i | 0.401356 | − | 0.915922i | ||
−0.592534 | + | 0.805546i | ||||||||
−17.6821 | + | 19.3508i | −0.565411 | + | 0.618770i | |||||
−13.5352 | − | 23.4436i | −0.432586 | − | 0.749262i | |||||
8.98136i | 0.286899i | |||||||||
−8.59515 | − | 12.2025i | −0.274422 | − | 0.389596i | |||||
11.1999i | 0.357403i | |||||||||
−45.4067 | + | 26.2156i | −1.44825 | + | 0.836147i | −0.998377 | − | 0.0569461i | ||
−0.449872 | + | 0.893093i | ||||||||
−18.6980 | − | 4.11787i | −0.596069 | − | 0.131273i | |||||
−5.93626 | + | 10.2819i | −0.189145 | + | 0.327608i | |||||
−16.7142 | − | 9.64996i | −0.532289 | − | 0.307317i | |||||
−45.1523 | − | 9.94393i | −1.43721 | − | 0.316519i | |||||
7.68122 | − | 8.66485i | 0.244372 | − | 0.275666i | |||||
−59.3808 | −1.88820 | |||||||||
−1.95996 | + | 4.23396i | −0.0622916 | + | 0.134564i | |||||
−26.0277 | −0.826799 | −0.413399 | − | 0.910550i | ||||||
−0.413399 | + | 0.910550i | ||||||||
3.24185 | + | 5.61504i | 0.102929 | + | 0.178278i | |||||
5.36390 | + | 4.90135i | 0.170218 | + | 0.155540i | |||||
−20.2683 | − | 11.7019i | −0.642872 | − | 0.371163i | |||||
5.67460 | + | 3.27623i | 0.179897 | + | 0.103864i | |||||
−9.68590 | + | 3.06882i | −0.306910 | + | 0.0972393i | |||||
−13.6237 | − | 23.5970i | −0.431468 | − | 0.747324i | 0.565532 | − | 0.824726i | ||
−0.997000 | + | 0.0774021i | ||||||||
−15.4596 | −0.489367 | |||||||||
6.55702 | − | 8.61975i | 0.207455 | − | 0.272717i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 234.2.t.a.103.12 | yes | 28 | |
3.2 | odd | 2 | 702.2.t.a.415.4 | 28 | |||
9.2 | odd | 6 | 702.2.t.a.181.11 | 28 | |||
9.4 | even | 3 | 2106.2.b.c.649.11 | 14 | |||
9.5 | odd | 6 | 2106.2.b.d.649.4 | 14 | |||
9.7 | even | 3 | inner | 234.2.t.a.25.5 | ✓ | 28 | |
13.12 | even | 2 | inner | 234.2.t.a.103.5 | yes | 28 | |
39.38 | odd | 2 | 702.2.t.a.415.11 | 28 | |||
117.25 | even | 6 | inner | 234.2.t.a.25.12 | yes | 28 | |
117.38 | odd | 6 | 702.2.t.a.181.4 | 28 | |||
117.77 | odd | 6 | 2106.2.b.d.649.11 | 14 | |||
117.103 | even | 6 | 2106.2.b.c.649.4 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
234.2.t.a.25.5 | ✓ | 28 | 9.7 | even | 3 | inner | |
234.2.t.a.25.12 | yes | 28 | 117.25 | even | 6 | inner | |
234.2.t.a.103.5 | yes | 28 | 13.12 | even | 2 | inner | |
234.2.t.a.103.12 | yes | 28 | 1.1 | even | 1 | trivial | |
702.2.t.a.181.4 | 28 | 117.38 | odd | 6 | |||
702.2.t.a.181.11 | 28 | 9.2 | odd | 6 | |||
702.2.t.a.415.4 | 28 | 3.2 | odd | 2 | |||
702.2.t.a.415.11 | 28 | 39.38 | odd | 2 | |||
2106.2.b.c.649.4 | 14 | 117.103 | even | 6 | |||
2106.2.b.c.649.11 | 14 | 9.4 | even | 3 | |||
2106.2.b.d.649.4 | 14 | 9.5 | odd | 6 | |||
2106.2.b.d.649.11 | 14 | 117.77 | odd | 6 |