Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(82,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 297.f (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 |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 163.1 | ||
Root | of defining polynomial | ||
Character | 297.163 | ||
Dual form | 297.2.f.b.82.1 |
-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 .
−0.760284 | + | 2.33991i | −0.537602 | + | 1.65457i | 0.200357 | + | 0.979723i | ||
−0.737959 | + | 0.674846i | ||||||||
0 | 0 | |||||||||
−3.27913 | − | 2.38243i | −1.63956 | − | 1.19121i | |||||
−0.305860 | − | 0.941339i | −0.136785 | − | 0.420980i | 0.859079 | − | 0.511843i | ||
−0.995863 | + | 0.0908638i | ||||||||
0 | 0 | |||||||||
−3.49672 | − | 2.54052i | −1.32164 | − | 0.960226i | −0.999910 | − | 0.0133937i | ||
−0.321727 | − | 0.946832i | ||||||||
4.08684 | − | 2.96926i | 1.44492 | − | 1.04979i | |||||
0 | 0 | |||||||||
2.43519 | 0.770075 | |||||||||
2.79120 | + | 1.79142i | 0.841578 | + | 0.540135i | |||||
0 | 0 | |||||||||
1.11803 | − | 3.44095i | 0.310087 | − | 0.954349i | −0.667643 | − | 0.744482i | ||
0.977730 | − | 0.209868i | ||||||||
8.60310 | − | 6.25052i | 2.29927 | − | 1.67052i | |||||
0 | 0 | |||||||||
1.33563 | + | 4.11065i | 0.333908 | + | 1.02766i | |||||
−0.816208 | − | 2.51203i | −0.197959 | − | 0.609257i | −0.999929 | − | 0.0118921i | ||
0.801970 | − | 0.597365i | ||||||||
0 | 0 | |||||||||
3.09629 | − | 2.24958i | 0.710337 | − | 0.516090i | −0.172945 | − | 0.984931i | ||
0.883282 | + | 0.468841i | ||||||||
−1.23972 | + | 3.81546i | −0.277209 | + | 0.853163i | |||||
0 | 0 | |||||||||
−6.31388 | + | 5.16917i | −1.34612 | + | 1.10207i | |||||
−3.45011 | −0.719398 | −0.359699 | − | 0.933068i | ||||||
−0.359699 | + | 0.933068i | ||||||||
0 | 0 | |||||||||
3.25252 | − | 2.36309i | 0.650503 | − | 0.472618i | |||||
7.20151 | + | 5.23221i | 1.41233 | + | 1.02612i | |||||
0 | 0 | |||||||||
5.41361 | + | 16.6614i | 1.02308 | + | 3.14870i | |||||
−8.43168 | − | 6.12597i | −1.56572 | − | 1.13756i | −0.931112 | − | 0.364733i | ||
−0.634611 | − | 0.772832i | ||||||||
0 | 0 | |||||||||
−0.521582 | + | 1.60526i | −0.0936788 | + | 0.288314i | −0.986907 | − | 0.161290i | ||
0.893228 | + | 0.449603i | ||||||||
−0.530785 | −0.0938305 | |||||||||
0 | 0 | |||||||||
6.49848 | 1.11448 | |||||||||
−1.32198 | + | 4.06865i | −0.223456 | + | 0.687727i | |||||
0 | 0 | |||||||||
−2.61803 | − | 1.90211i | −0.430402 | − | 0.312705i | 0.351408 | − | 0.936223i | ||
−0.781810 | + | 0.623517i | ||||||||
2.90977 | + | 8.95537i | 0.472028 | + | 1.45275i | |||||
0 | 0 | |||||||||
−4.04508 | − | 2.93893i | −0.639584 | − | 0.464685i | |||||
−9.63335 | + | 6.99904i | −1.50448 | + | 1.09307i | −0.535921 | + | 0.844268i | ||
−0.968555 | + | 0.248798i | ||||||||
0 | 0 | |||||||||
−2.12307 | −0.323764 | −0.161882 | − | 0.986810i | ||||||
−0.161882 | + | 0.986810i | ||||||||
−4.88477 | − | 12.5241i | −0.736406 | − | 1.88809i | |||||
0 | 0 | |||||||||
2.62307 | − | 8.07297i | 0.386750 | − | 1.19029i | |||||
3.47861 | − | 2.52736i | 0.507407 | − | 0.368653i | −0.304432 | − | 0.952534i | ||
0.811839 | + | 0.583881i | ||||||||
0 | 0 | |||||||||
3.60973 | + | 11.1096i | 0.515675 | + | 1.58709i | |||||
3.05659 | + | 9.40723i | 0.432267 | + | 1.33038i | |||||
0 | 0 | |||||||||
−11.8640 | + | 8.61970i | −1.64524 | + | 1.19534i | |||||
2.93021 | − | 9.01826i | 0.402496 | − | 1.23875i | −0.520473 | − | 0.853878i | ||
0.922968 | − | 0.384876i | ||||||||
0 | 0 | |||||||||
0.832623 | − | 3.17539i | 0.112271 | − | 0.428170i | |||||
−21.8340 | −2.91770 | |||||||||
0 | 0 | |||||||||
20.7447 | − | 15.0719i | 2.72391 | − | 1.97904i | |||||
5.23607 | + | 3.80423i | 0.681679 | + | 0.495269i | 0.873914 | − | 0.486080i | ||
−0.192235 | + | 0.981349i | ||||||||
0 | 0 | |||||||||
−1.48656 | − | 4.57516i | −0.190334 | − | 0.585789i | 0.809665 | − | 0.586892i | ||
−0.999999 | + | 0.00110319i | ||||||||
−3.35963 | − | 2.44091i | −0.426673 | − | 0.309996i | |||||
0 | 0 | |||||||||
−2.26771 | + | 6.97930i | −0.283464 | + | 0.872413i | |||||
−3.58107 | −0.444177 | |||||||||
0 | 0 | |||||||||
0.854102 | 0.104345 | 0.0521726 | − | 0.998638i | ||||||
0.0521726 | + | 0.998638i | ||||||||
−3.30828 | + | 10.1818i | −0.401187 | + | 1.23473i | |||||
0 | 0 | |||||||||
−8.51520 | − | 6.18665i | −1.01776 | − | 0.739446i | |||||
1.16751 | + | 3.59324i | 0.138558 | + | 0.426439i | 0.996127 | − | 0.0879314i | ||
−0.857568 | + | 0.514371i | ||||||||
0 | 0 | |||||||||
−9.22952 | − | 6.70564i | −1.08023 | − | 0.784835i | −0.102510 | − | 0.994732i | ||
−0.977724 | + | 0.209897i | ||||||||
6.44123 | − | 4.67983i | 0.748778 | − | 0.544019i | |||||
0 | 0 | |||||||||
−15.5126 | −1.77942 | |||||||||
−5.20891 | − | 13.3552i | −0.593610 | − | 1.52197i | |||||
0 | 0 | |||||||||
1.89841 | − | 5.84272i | 0.213588 | − | 0.657357i | −0.785663 | − | 0.618655i | ||
0.999251 | − | 0.0387017i | ||||||||
3.46100 | − | 2.51456i | 0.386951 | − | 0.281137i | |||||
0 | 0 | |||||||||
−9.05306 | − | 27.8625i | −0.999743 | − | 3.07689i | |||||
−1.03831 | − | 3.19558i | −0.113969 | − | 0.350761i | 0.877762 | − | 0.479098i | ||
−0.991731 | + | 0.128337i | ||||||||
0 | 0 | |||||||||
−2.11503 | + | 1.53666i | −0.229407 | + | 0.166674i | |||||
1.61413 | − | 4.96779i | 0.174056 | − | 0.535690i | |||||
0 | 0 | |||||||||
16.7264 | − | 0.966542i | 1.78304 | − | 0.103034i | |||||
13.2605 | 1.40561 | 0.702806 | − | 0.711381i | ||||||
0.702806 | + | 0.711381i | ||||||||
0 | 0 | |||||||||
−12.6513 | + | 9.19169i | −1.32621 | + | 0.963550i | |||||
11.3134 | + | 8.21964i | 1.17950 | + | 0.856957i | |||||
0 | 0 | |||||||||
3.26907 | + | 10.0612i | 0.337178 | + | 1.03773i | |||||
−3.06465 | − | 2.22660i | −0.314427 | − | 0.228444i | |||||
0 | 0 | |||||||||
−0.114759 | + | 0.353191i | −0.0116520 | + | 0.0358612i | −0.956713 | − | 0.291031i | ||
0.945061 | + | 0.326893i | ||||||||
−28.7399 | −2.90317 | |||||||||
0 | 0 | |||||||||
−16.2953 | −1.62953 | |||||||||
−4.01546 | + | 12.3583i | −0.399553 | + | 1.22970i | 0.525805 | + | 0.850605i | ||
−0.925358 | + | 0.379094i | ||||||||
0 | 0 | |||||||||
9.54968 | + | 6.93825i | 0.940958 | + | 0.683646i | 0.948651 | − | 0.316324i | ||
−0.00769290 | + | 0.999970i | ||||||||
−5.64788 | − | 17.3824i | −0.553820 | − | 1.70448i | |||||
0 | 0 | |||||||||
18.8742 | + | 13.7129i | 1.83322 | + | 1.33191i | |||||
−3.82493 | + | 2.77898i | −0.369770 | + | 0.268654i | −0.757116 | − | 0.653281i | ||
0.387345 | + | 0.921935i | ||||||||
0 | 0 | |||||||||
16.1864 | 1.55037 | 0.775186 | − | 0.631733i | ||||||
0.775186 | + | 0.631733i | ||||||||
6.79711 | + | 4.36246i | 0.648079 | + | 0.415945i | |||||
0 | 0 | |||||||||
5.77285 | − | 17.7670i | 0.545483 | − | 1.67882i | |||||
0.687408 | − | 0.499431i | 0.0646659 | − | 0.0469825i | −0.554983 | − | 0.831862i | ||
0.619649 | + | 0.784879i | ||||||||
0 | 0 | |||||||||
1.05525 | + | 3.24773i | 0.0984026 | + | 0.302852i | |||||
13.0539 | + | 40.1757i | 1.21202 | + | 3.73022i | |||||
0 | 0 | |||||||||
−12.8825 | + | 9.35966i | −1.18593 | + | 0.861627i | |||||
−3.52781 | + | 10.8575i | −0.323393 | + | 0.995302i | |||||
0 | 0 | |||||||||
4.58160 | + | 10.0004i | 0.416509 | + | 0.909132i | |||||
11.8357 | 1.07155 | |||||||||
0 | 0 | |||||||||
5.53475 | − | 4.02123i | 0.497036 | − | 0.361117i | |||||
−7.22304 | − | 5.24784i | −0.646048 | − | 0.469381i | |||||
0 | 0 | |||||||||
3.60148 | + | 11.0842i | 0.319580 | + | 0.983566i | 0.973828 | + | 0.227286i | ||
−0.654248 | + | 0.756280i | ||||||||
−15.4657 | − | 11.2365i | −1.36699 | − | 0.993174i | |||||
0 | 0 | |||||||||
2.72263 | − | 8.37939i | 0.238790 | − | 0.734921i | |||||
0.242802 | 0.0212137 | 0.0106068 | − | 0.999944i | ||||||
0.0106068 | + | 0.999944i | ||||||||
0 | 0 | |||||||||
−16.5420 | −1.43437 | |||||||||
−0.649360 | + | 1.99852i | −0.0560962 | + | 0.172646i | |||||
0 | 0 | |||||||||
−10.7946 | − | 7.84273i | −0.925629 | − | 0.672509i | |||||
−0.140507 | − | 0.432435i | −0.0120043 | − | 0.0369454i | 0.944875 | − | 0.327431i | ||
−0.956879 | + | 0.290486i | ||||||||
0 | 0 | |||||||||
14.4337 | + | 10.4867i | 1.22425 | + | 0.889468i | 0.996446 | − | 0.0842390i | ||
0.227803 | + | 0.973707i | ||||||||
14.0282 | − | 10.1921i | 1.18560 | − | 0.861389i | |||||
0 | 0 | |||||||||
−9.29551 | −0.780062 | |||||||||
9.28487 | − | 7.60152i | 0.776440 | − | 0.635671i | |||||
0 | 0 | |||||||||
−3.18771 | + | 9.81076i | −0.264725 | + | 0.814739i | |||||
22.7077 | − | 16.4981i | 1.87930 | − | 1.36539i | |||||
0 | 0 | |||||||||
4.05323 | + | 12.4745i | 0.333173 | + | 1.02540i | |||||
−4.92523 | − | 15.1583i | −0.403491 | − | 1.24182i | −0.922149 | − | 0.386835i | ||
0.518658 | − | 0.854982i | ||||||||
0 | 0 | |||||||||
−4.89743 | + | 3.55819i | −0.398547 | + | 0.289562i | −0.768949 | − | 0.639310i | ||
0.370402 | + | 0.928872i | ||||||||
5.97443 | − | 18.3874i | 0.484590 | − | 1.49141i | |||||
0 | 0 | |||||||||
35.2103 | − | 2.03464i | 2.83733 | − | 0.163956i | |||||
1.67063 | 0.134188 | |||||||||
0 | 0 | |||||||||
−6.05296 | + | 4.39773i | −0.483079 | + | 0.350977i | −0.802516 | − | 0.596630i | ||
0.319438 | + | 0.947607i | ||||||||
12.2281 | + | 8.88425i | 0.972817 | + | 0.706793i | |||||
0 | 0 | |||||||||
0.162346 | + | 0.499649i | 0.0128346 | + | 0.0395007i | |||||
12.0641 | + | 8.76508i | 0.950784 | + | 0.690785i | |||||
0 | 0 | |||||||||
4.31902 | − | 13.2926i | 0.338292 | − | 1.04115i | −0.626786 | − | 0.779191i | ||
0.965078 | − | 0.261963i | ||||||||
48.2637 | 3.76876 | |||||||||
0 | 0 | |||||||||
8.26679 | 0.641628 | |||||||||
−1.97499 | + | 6.07840i | −0.152829 | + | 0.470361i | −0.997935 | − | 0.0642395i | ||
0.845105 | + | 0.534600i | ||||||||
0 | 0 | |||||||||
−0.0729490 | − | 0.0530006i | −0.00561146 | − | 0.00407697i | |||||
−1.98762 | − | 6.11727i | −0.152444 | − | 0.469174i | |||||
0 | 0 | |||||||||
6.96181 | + | 5.05805i | 0.530833 | + | 0.385673i | |||||
6.34726 | − | 4.61155i | 0.482573 | − | 0.350610i | −0.319748 | − | 0.947503i | ||
0.802321 | + | 0.596893i | ||||||||
0 | 0 | |||||||||
−17.3766 | −1.31355 | |||||||||
−3.63590 | + | 13.8663i | −0.274066 | + | 1.04521i | |||||
0 | 0 | |||||||||
−10.0818 | + | 31.0285i | −0.755660 | + | 2.32568i | |||||
−3.94392 | + | 2.86542i | −0.294782 | + | 0.214172i | −0.725339 | − | 0.688392i | ||
0.430557 | + | 0.902563i | ||||||||
0 | 0 | |||||||||
2.79558 | + | 8.60390i | 0.207794 | + | 0.639523i | 0.999587 | + | 0.0287340i | ||
−0.791794 | + | 0.610789i | ||||||||
−11.8892 | − | 36.5912i | −0.881285 | − | 2.71232i | |||||
0 | 0 | |||||||||
−14.1001 | + | 10.2443i | −1.03947 | + | 0.755220i | |||||
−0.989783 | + | 3.04624i | −0.0727703 | + | 0.223964i | |||||
0 | 0 | |||||||||
2.22191 | − | 8.47375i | 0.162482 | − | 0.619662i | |||||
−17.4280 | −1.27107 | |||||||||
0 | 0 | |||||||||
7.54005 | − | 5.47817i | 0.547013 | − | 0.397428i | |||||
−15.1833 | − | 11.0313i | −1.09863 | − | 0.798200i | −0.117793 | − | 0.993038i | ||
−0.980835 | + | 0.194838i | ||||||||
0 | 0 | |||||||||
−5.34678 | − | 16.4557i | −0.384870 | − | 1.18451i | −0.936575 | − | 0.350468i | ||
0.551705 | − | 0.834039i | ||||||||
−0.739188 | − | 0.537051i | −0.0530706 | − | 0.0385580i | |||||
0 | 0 | |||||||||
14.6310 | − | 45.0297i | 1.04507 | − | 3.21641i | |||||
6.06800 | 0.432327 | 0.216164 | − | 0.976357i | ||||||
0.216164 | + | 0.976357i | ||||||||
0 | 0 | |||||||||
−10.1108 | −0.716738 | −0.358369 | − | 0.933580i | ||||||
−0.358369 | + | 0.933580i | ||||||||
6.27588 | − | 19.3152i | 0.443771 | − | 1.36579i | |||||
0 | 0 | |||||||||
−25.8645 | − | 18.7917i | −1.81982 | − | 1.32218i | |||||
13.9201 | + | 42.8417i | 0.977000 | + | 3.00690i | |||||
0 | 0 | |||||||||
9.53492 | + | 6.92752i | 0.665948 | + | 0.483839i | |||||
−23.4954 | + | 17.0704i | −1.63700 | + | 1.18935i | |||||
0 | 0 | |||||||||
15.6378 | 1.08429 | |||||||||
12.6723 | − | 0.732275i | 0.876562 | − | 0.0506525i | |||||
0 | 0 | |||||||||
4.55535 | − | 14.0199i | 0.313603 | − | 0.965172i | −0.662722 | − | 0.748865i | ||
0.976325 | − | 0.216307i | ||||||||
−31.0939 | + | 22.5910i | −2.13554 | + | 1.55156i | |||||
0 | 0 | |||||||||
−3.59453 | − | 11.0628i | −0.245717 | − | 0.756239i | |||||
0.649360 | + | 1.99852i | 0.0442860 | + | 0.136298i | |||||
0 | 0 | |||||||||
5.90203 | − | 4.28807i | 0.400656 | − | 0.291093i | |||||
−12.3062 | + | 37.8747i | −0.833483 | + | 2.56520i | |||||
0 | 0 | |||||||||
−10.2954 | + | 8.42885i | −0.694116 | + | 0.568273i | |||||
−9.55633 | −0.642828 | |||||||||
0 | 0 | |||||||||
−0.496725 | + | 0.360892i | −0.0332632 | + | 0.0241671i | −0.604293 | − | 0.796762i | ||
0.571029 | + | 0.820930i | ||||||||
1.85601 | + | 1.34847i | 0.124010 | + | 0.0900985i | |||||
0 | 0 | |||||||||
0.646000 | + | 1.98818i | 0.0429713 | + | 0.132252i | |||||
9.39297 | + | 6.82439i | 0.623433 | + | 0.452951i | 0.854119 | − | 0.520078i | ||
−0.230686 | + | 0.973028i | ||||||||
0 | 0 | |||||||||
0.251367 | − | 0.773628i | 0.0166108 | − | 0.0511228i | −0.942408 | − | 0.334467i | ||
0.959018 | + | 0.283344i | ||||||||
−8.40169 | −0.553991 | |||||||||
0 | 0 | |||||||||
−52.6486 | −3.45655 | |||||||||
5.33097 | − | 16.4070i | 0.349243 | − | 1.07486i | −0.610029 | − | 0.792379i | ||
0.959273 | − | 0.282482i | ||||||||
0 | 0 | |||||||||
−3.44307 | − | 2.50153i | −0.224601 | − | 0.163182i | |||||
−8.10646 | − | 24.9491i | −0.527686 | − | 1.62405i | |||||
0 | 0 | |||||||||
−22.7234 | − | 16.5095i | −1.47294 | − | 1.07015i | |||||
−0.161603 | + | 0.117411i | −0.0104532 | + | 0.00759470i | −0.593000 | − | 0.805203i | ||
0.582546 | + | 0.812797i | ||||||||
0 | 0 | |||||||||
14.8309 | 0.955345 | 0.477672 | − | 0.878538i | ||||||
0.477672 | + | 0.878538i | ||||||||
−26.8835 | + | 3.11736i | −1.72814 | + | 0.200391i | |||||
0 | 0 | |||||||||
−6.02536 | + | 18.5442i | −0.385734 | + | 1.18717i | |||||
9.35383 | − | 6.79596i | 0.597594 | − | 0.434178i | |||||
0 | 0 | |||||||||
−4.27896 | − | 13.1693i | −0.272264 | − | 0.837942i | |||||
2.63483 | + | 8.10917i | 0.167312 | + | 0.514933i | |||||
0 | 0 | |||||||||
17.7711 | − | 12.9114i | 1.12394 | − | 0.816591i | |||||
−2.63483 | + | 8.10917i | −0.166309 | + | 0.511846i | −0.999130 | − | 0.0416955i | ||
0.832821 | + | 0.553542i | ||||||||
0 | 0 | |||||||||
−9.62996 | − | 6.18062i | −0.605430 | − | 0.388572i | |||||
−28.6743 | −1.79918 | |||||||||
0 | 0 | |||||||||
26.1768 | − | 19.0186i | 1.63605 | − | 1.18866i | |||||
−10.5161 | − | 7.64039i | −0.655976 | − | 0.476595i | 0.209325 | − | 0.977846i | ||
−0.865302 | + | 0.501251i | ||||||||
0 | 0 | |||||||||
4.32219 | + | 13.3023i | 0.268568 | + | 0.826567i | |||||
11.7428 | + | 8.53163i | 0.728256 | + | 0.529109i | |||||
0 | 0 | |||||||||
−0.184598 | + | 0.568135i | −0.0114045 | + | 0.0350995i | |||||
14.8529 | 0.915868 | 0.457934 | − | 0.888986i | ||||||
0.457934 | + | 0.888986i | ||||||||
0 | 0 | |||||||||
−9.38548 | −0.576545 | |||||||||
12.5766 | − | 38.7068i | 0.771121 | − | 2.37327i | |||||
0 | 0 | |||||||||
−2.80071 | − | 2.03484i | −0.171081 | − | 0.124297i | |||||
1.17789 | + | 3.62517i | 0.0718172 | + | 0.221031i | 0.980522 | − | 0.196408i | ||
−0.908705 | + | 0.417439i | ||||||||
0 | 0 | |||||||||
11.1948 | + | 8.13347i | 0.680033 | + | 0.494073i | 0.873369 | − | 0.487060i | ||
−0.193335 | + | 0.981133i | ||||||||
9.23591 | − | 6.71028i | 0.560010 | − | 0.406871i | |||||
0 | 0 | |||||||||
1.11869 | 0.0675823 | |||||||||
13.3117 | − | 0.769223i | 0.802727 | − | 0.0463859i | |||||
0 | 0 | |||||||||
0.759571 | − | 2.33772i | 0.0456382 | − | 0.140460i | −0.925641 | − | 0.378403i | ||
0.971279 | + | 0.237943i | ||||||||
−35.5116 | + | 25.8007i | −2.12984 | + | 1.54742i | |||||
0 | 0 | |||||||||
6.67815 | + | 20.5532i | 0.399096 | + | 1.22829i | |||||
−6.15581 | − | 18.9456i | −0.367225 | − | 1.13020i | −0.948576 | − | 0.316549i | ||
0.581352 | − | 0.813652i | ||||||||
0 | 0 | |||||||||
−5.81564 | + | 4.22531i | −0.345704 | + | 0.251169i | −0.747065 | − | 0.664752i | ||
0.401361 | + | 0.915920i | ||||||||
4.73220 | − | 14.5642i | 0.280804 | − | 0.864227i | |||||
0 | 0 | |||||||||
10.7278 | + | 27.5051i | 0.634346 | + | 1.62641i | |||||
51.4664 | 3.03796 | |||||||||
0 | 0 | |||||||||
8.10919 | − | 5.89167i | 0.477011 | − | 0.346569i | |||||
−20.5328 | − | 14.9179i | −1.20572 | − | 0.876010i | |||||
0 | 0 | |||||||||
14.2891 | + | 43.9773i | 0.836206 | + | 2.57358i | |||||
−13.8033 | − | 10.0287i | −0.806396 | − | 0.585881i | 0.106387 | − | 0.994325i | ||
−0.912784 | + | 0.408444i | ||||||||
0 | 0 | |||||||||
1.97957 | − | 6.09248i | 0.115255 | − | 0.354718i | |||||
−16.3474 | −0.950172 | |||||||||
0 | 0 | |||||||||
39.2137 | 2.27159 | |||||||||
−3.85734 | + | 11.8717i | −0.223076 | + | 0.686557i | |||||
0 | 0 | |||||||||
7.42378 | + | 5.39369i | 0.427899 | + | 0.310887i | |||||
−4.60242 | − | 14.1648i | −0.264840 | − | 0.815093i | |||||
0 | 0 | |||||||||
13.3827 | + | 9.72313i | 0.767553 | + | 0.557660i | |||||
−3.85210 | + | 2.79871i | −0.220571 | + | 0.160254i | |||||
0 | 0 | |||||||||
7.48842 | 0.427387 | 0.213693 | − | 0.976901i | ||||||
0.213693 | + | 0.976901i | ||||||||
−14.7371 | + | 56.2033i | −0.839726 | + | 3.20248i | |||||
0 | 0 | |||||||||
−1.27015 | + | 3.90912i | −0.0721397 | + | 0.222023i | |||||
8.51155 | − | 6.18400i | 0.482645 | − | 0.350662i | −0.319704 | − | 0.947518i | ||
0.802349 | + | 0.596855i | ||||||||
0 | 0 | |||||||||
−3.22449 | − | 9.92395i | −0.182259 | − | 0.560935i | 0.817632 | − | 0.575742i | ||
−0.999890 | + | 0.0148070i | ||||||||
−5.68834 | − | 17.5069i | −0.321012 | − | 0.987973i | |||||
0 | 0 | |||||||||
−20.1450 | + | 14.6362i | −1.13324 | + | 0.823350i | |||||
−3.95173 | + | 12.1622i | −0.221951 | + | 0.683096i | 0.776635 | + | 0.629950i | ||
−0.998587 | + | 0.0531456i | ||||||||
0 | 0 | |||||||||
−12.5603 | − | 32.2035i | −0.703241 | − | 1.80305i | |||||
7.26349 | 0.406042 | |||||||||
0 | 0 | |||||||||
−29.6817 | + | 21.5650i | −1.65409 | + | 1.20177i | |||||
−8.17824 | − | 5.94184i | −0.455049 | − | 0.330613i | |||||
0 | 0 | |||||||||
−4.49487 | − | 13.8338i | −0.249330 | − | 0.767360i | |||||
27.8198 | + | 20.2122i | 1.54079 | + | 1.11945i | |||||
0 | 0 | |||||||||
−18.5880 | + | 57.2079i | −1.02635 | + | 3.15878i | |||||
−18.5845 | −1.02460 | |||||||||
0 | 0 | |||||||||
16.3849 | 0.900598 | 0.450299 | − | 0.892878i | ||||||
0.450299 | + | 0.892878i | ||||||||
−4.20849 | + | 12.9524i | −0.230971 | + | 0.710856i | |||||
0 | 0 | |||||||||
−12.7214 | − | 9.24262i | −0.696083 | − | 0.505734i | |||||
−0.261235 | − | 0.804000i | −0.0142728 | − | 0.0439272i | |||||
0 | 0 | |||||||||
−23.5160 | − | 17.0854i | −1.28100 | − | 0.930698i | −0.281414 | − | 0.959586i | ||
−0.999583 | + | 0.0288881i | ||||||||
0.179479 | − | 0.130399i | 0.00976235 | − | 0.00709277i | |||||
0 | 0 | |||||||||
10.5964 | 0.574671 | |||||||||
−4.33155 | + | 3.54624i | −0.234566 | + | 0.192039i | |||||
0 | 0 | |||||||||
6.25252 | − | 19.2433i | 0.337604 | − | 1.03904i | |||||
−8.67663 | + | 6.30394i | −0.467813 | + | 0.339886i | |||||
0 | 0 | |||||||||
5.96491 | + | 18.3581i | 0.320676 | + | 0.986939i | |||||
6.66940 | + | 20.5263i | 0.358032 | + | 1.10191i | 0.954231 | + | 0.299072i | ||
−0.596199 | + | 0.802837i | ||||||||
0 | 0 | |||||||||
−19.5785 | + | 14.2246i | −1.04801 | + | 0.761426i | −0.971833 | − | 0.235669i | ||
−0.0761789 | + | 0.997094i | ||||||||
13.2112 | − | 40.6598i | 0.706167 | − | 2.17336i | |||||
0 | 0 | |||||||||
−1.48153 | − | 0.950862i | −0.0789657 | − | 0.0506811i | |||||
20.9800 | 1.11666 | 0.558328 | − | 0.829621i | ||||||
0.558328 | + | 0.829621i | ||||||||
0 | 0 | |||||||||
3.02536 | − | 2.19805i | 0.160570 | − | 0.116661i | |||||
−43.4830 | − | 31.5922i | −2.30459 | − | 1.67438i | |||||
0 | 0 | |||||||||
−3.70635 | − | 11.4070i | −0.195886 | − | 0.602876i | |||||
12.6882 | + | 9.21850i | 0.669657 | + | 0.486534i | 0.869910 | − | 0.493210i | ||
−0.200254 | + | 0.979744i | ||||||||
0 | 0 | |||||||||
−1.34496 | + | 4.13936i | −0.0707873 | + | 0.217861i | |||||
−22.2578 | −1.16984 | |||||||||
0 | 0 | |||||||||
63.3837 | 3.32221 | |||||||||
−3.48934 | + | 10.7391i | −0.182640 | + | 0.562110i | |||||
0 | 0 | |||||||||
6.62952 | + | 4.81663i | 0.346058 | + | 0.251426i | 0.747214 | − | 0.664584i | ||
−0.401155 | + | 0.916010i | ||||||||
−4.60807 | − | 14.1822i | −0.240212 | − | 0.739298i | |||||
0 | 0 | |||||||||
−6.37542 | − | 4.63201i | −0.331442 | − | 0.240807i | |||||
−33.1572 | + | 24.0901i | −1.72144 | + | 1.25070i | |||||
0 | 0 | |||||||||
30.8172 | 1.59565 | 0.797826 | − | 0.602888i | ||||||
0.797826 | + | 0.602888i | ||||||||
18.1386 | + | 11.6415i | 0.937923 | + | 0.601970i | |||||
0 | 0 | |||||||||
6.71213 | − | 20.6578i | 0.346152 | − | 1.06535i | |||||
−30.5061 | + | 22.1640i | −1.57114 | + | 1.14150i | |||||
0 | 0 | |||||||||
6.12378 | + | 18.8470i | 0.314557 | + | 0.968108i | 0.975936 | + | 0.218056i | ||
−0.661379 | + | 0.750052i | ||||||||
4.74468 | + | 14.6026i | 0.243397 | + | 0.749098i | |||||
0 | 0 | |||||||||
37.3560 | − | 27.1407i | 1.91130 | − | 1.38864i | |||||
7.31619 | − | 22.5169i | 0.373840 | − | 1.15056i | −0.570418 | − | 0.821354i | ||
0.944258 | − | 0.329206i | ||||||||
0 | 0 | |||||||||
−10.9786 | + | 8.98817i | −0.559521 | + | 0.458080i | |||||
42.5700 | 2.16675 | |||||||||
0 | 0 | |||||||||
1.21776 | − | 0.884756i | 0.0618225 | − | 0.0449167i | |||||
6.89001 | + | 5.00589i | 0.349338 | + | 0.253809i | 0.748591 | − | 0.663032i | ||
−0.399254 | + | 0.916841i | ||||||||
0 | 0 | |||||||||
2.81601 | + | 8.66679i | 0.142412 | + | 0.438298i | |||||
47.7397 | + | 34.6849i | 2.41122 | + | 1.75185i | |||||
0 | 0 | |||||||||
−4.61341 | + | 14.1986i | −0.232420 | + | 0.715315i | |||||
−6.08063 | −0.305949 | |||||||||
0 | 0 | |||||||||
−3.78373 | −0.189900 | −0.0949499 | − | 0.995482i | ||||||
−0.0949499 | + | 0.995482i | ||||||||
7.68710 | − | 23.6585i | 0.385320 | − | 1.18589i | |||||
0 | 0 | |||||||||
14.0580 | + | 10.2137i | 0.702899 | + | 0.510686i | |||||
−5.42428 | − | 16.6942i | −0.270876 | − | 0.833670i | −0.990281 | − | 0.139079i | ||
0.719405 | − | 0.694590i | ||||||||
0 | 0 | |||||||||
4.94049 | + | 3.58948i | 0.246103 | + | 0.178805i | |||||
42.6100 | − | 30.9580i | 2.11993 | − | 1.54022i | |||||
0 | 0 | |||||||||
−110.829 | −5.50035 | |||||||||
−3.89996 | − | 9.99919i | −0.193314 | − | 0.495641i | |||||
0 | 0 | |||||||||
8.74225 | − | 26.9059i | 0.432276 | − | 1.33041i | −0.463576 | − | 0.886057i | ||
0.895852 | − | 0.444352i | ||||||||
−23.4591 | + | 17.0440i | −1.15856 | + | 0.841743i | |||||
0 | 0 | |||||||||
−14.7848 | − | 45.5028i | −0.728393 | − | 2.24176i | |||||
−8.64439 | − | 26.6047i | −0.425363 | − | 1.30913i | |||||
0 | 0 | |||||||||
−2.69055 | + | 1.95480i | −0.132074 | + | 0.0959573i | |||||
−0.593436 | + | 1.82641i | −0.0290956 | + | 0.0895470i | |||||
0 | 0 | |||||||||
−7.92110 | + | 30.2089i | −0.387434 | + | 1.47756i | |||||
32.2357 | 1.57482 | 0.787409 | − | 0.616430i | ||||||
0.787409 | + | 0.616430i | ||||||||
0 | 0 | |||||||||
23.0100 | − | 16.7177i | 1.12144 | − | 0.814772i | 0.137011 | − | 0.990570i | ||
0.984426 | + | 0.175798i | ||||||||
29.3421 | + | 21.3183i | 1.42835 | + | 1.03776i | |||||
0 | 0 | |||||||||
−14.8023 | − | 45.5568i | −0.718863 | − | 2.21243i | |||||
−8.59088 | − | 6.24164i | −0.416719 | − | 0.302764i | |||||
0 | 0 | |||||||||
−6.42519 | + | 19.7747i | −0.310937 | + | 0.956965i | |||||
19.1632 | 0.926286 | |||||||||
0 | 0 | |||||||||
−5.17007 | −0.249323 | |||||||||
8.27921 | − | 25.4808i | 0.398796 | − | 1.22737i | −0.527170 | − | 0.849760i | ||
0.925966 | − | 0.377607i | ||||||||
0 | 0 | |||||||||
7.60672 | + | 5.52661i | 0.365556 | + | 0.265592i | 0.755366 | − | 0.655304i | ||
−0.389810 | + | 0.920895i | ||||||||
5.54651 | + | 17.0704i | 0.266241 | + | 0.819405i | |||||
0 | 0 | |||||||||
−53.0771 | − | 38.5628i | −2.54193 | − | 1.84682i | |||||
−10.6825 | + | 7.76132i | −0.511015 | + | 0.371274i | |||||
0 | 0 | |||||||||
−17.8962 | −0.854139 | −0.427069 | − | 0.904219i | ||||||
−0.427069 | + | 0.904219i | ||||||||
−6.02578 | − | 15.4496i | −0.287268 | − | 0.736531i | |||||
0 | 0 | |||||||||
7.26552 | − | 22.3610i | 0.345586 | − | 1.06360i | |||||
−14.8708 | + | 10.8042i | −0.706531 | + | 0.513325i | −0.882053 | − | 0.471151i | ||
0.175522 | + | 0.984476i | ||||||||
0 | 0 | |||||||||
−4.05586 | − | 12.4826i | −0.192266 | − | 0.591734i | |||||
−0.466803 | − | 1.43667i | −0.0221038 | − | 0.0680285i | |||||
0 | 0 | |||||||||
25.6606 | − | 18.6435i | 1.21235 | − | 0.880824i | |||||
−1.85302 | + | 5.70301i | −0.0874494 | + | 0.269142i | −0.985212 | − | 0.171337i | ||
0.897763 | + | 0.440479i | ||||||||
0 | 0 | |||||||||
−39.4268 | + | 2.27830i | −1.85654 | + | 0.107281i | |||||
−3.44396 | −0.161990 | |||||||||
0 | 0 | |||||||||
−23.1098 | + | 16.7903i | −1.08460 | + | 0.788006i | |||||
12.5220 | + | 9.09777i | 0.587041 | + | 0.426510i | |||||
0 | 0 | |||||||||
7.89068 | + | 24.2850i | 0.369110 | + | 1.13600i | 0.947367 | + | 0.320150i | ||
−0.578257 | + | 0.815855i | ||||||||
1.61911 | + | 1.17635i | 0.0756562 | + | 0.0549674i | |||||
0 | 0 | |||||||||
4.27717 | − | 13.1638i | 0.199424 | − | 0.613764i | |||||
31.5683 | 1.47028 | 0.735142 | − | 0.677913i | ||||||
0.735142 | + | 0.677913i | ||||||||
0 | 0 | |||||||||
3.76414 | 0.174934 | 0.0874671 | − | 0.996167i | ||||||
0.0874671 | + | 0.996167i | ||||||||
13.9201 | − | 42.8417i | 0.646225 | − | 1.98888i | |||||
0 | 0 | |||||||||
34.3380 | + | 24.9480i | 1.59068 | + | 1.15569i | |||||
−1.80825 | − | 5.56521i | −0.0836756 | − | 0.257527i | 0.900462 | − | 0.434935i | ||
−0.984137 | + | 0.177408i | ||||||||
0 | 0 | |||||||||
−2.98656 | − | 2.16986i | −0.137907 | − | 0.100195i | |||||
8.47108 | − | 6.15460i | 0.390742 | − | 0.283890i | |||||
0 | 0 | |||||||||
32.6948 | 1.50490 | |||||||||
−5.92590 | − | 3.80331i | −0.272473 | − | 0.174876i | |||||
0 | 0 | |||||||||
4.75475 | − | 14.6336i | 0.218163 | − | 0.671436i | |||||
37.4352 | − | 27.1983i | 1.71584 | − | 1.24663i | |||||
0 | 0 | |||||||||
−0.151868 | − | 0.467402i | −0.00694629 | − | 0.0213785i | |||||
−7.93853 | − | 24.4323i | −0.362721 | − | 1.11634i | −0.951396 | − | 0.307970i | ||
0.588675 | − | 0.808370i | ||||||||
0 | 0 | |||||||||
−9.47214 | + | 6.88191i | −0.431892 | + | 0.313788i | |||||
−11.2757 | + | 34.7031i | −0.513595 | + | 1.58068i | |||||
0 | 0 | |||||||||
8.80169 | − | 43.7081i | 0.400077 | − | 1.98673i | |||||
0.367573 | 0.0166906 | |||||||||
0 | 0 | |||||||||
4.29919 | − | 3.12355i | 0.194815 | − | 0.141541i | −0.486102 | − | 0.873902i | ||
0.680917 | + | 0.732361i | ||||||||
−19.6602 | − | 14.2840i | −0.889975 | − | 0.646605i | |||||
0 | 0 | |||||||||
8.79038 | + | 27.0540i | 0.397109 | + | 1.22218i | |||||
−1.99393 | − | 1.44868i | −0.0899850 | − | 0.0653779i | 0.541883 | − | 0.840454i | ||
−0.631868 | + | 0.775076i | ||||||||
0 | 0 | |||||||||
−8.50662 | + | 26.1807i | −0.383119 | + | 1.17912i | |||||
34.0682 | 1.53280 | |||||||||
0 | 0 | |||||||||
−7.29531 | −0.327569 | |||||||||
5.04622 | − | 15.5307i | 0.226354 | − | 0.696646i | |||||
0 | 0 | |||||||||
−18.0431 | − | 13.1091i | −0.807722 | − | 0.586844i | 0.105448 | − | 0.994425i | ||
−0.913169 | + | 0.407581i | ||||||||
11.1827 | + | 34.4167i | 0.500104 | + | 1.53916i | |||||
0 | 0 | |||||||||
−16.9715 | − | 12.3305i | −0.757477 | − | 0.550339i | |||||
−21.0129 | + | 15.2667i | −0.936917 | + | 0.680710i | −0.947677 | − | 0.319232i | ||
0.0107594 | + | 0.999942i | ||||||||
0 | 0 | |||||||||
12.8615 | 0.572331 | |||||||||
21.7836 | − | 17.8342i | 0.968400 | − | 0.792829i | |||||
0 | 0 | |||||||||
14.5976 | − | 44.9269i | 0.647665 | − | 1.99331i | |||||
22.5506 | − | 16.3840i | 0.999538 | − | 0.726207i | 0.0375492 | − | 0.999295i | ||
0.961989 | + | 0.273088i | ||||||||
0 | 0 | |||||||||
15.2373 | + | 46.8955i | 0.674058 | + | 2.07454i | |||||
12.7852 | + | 39.3489i | 0.565033 | + | 1.73899i | |||||
0 | 0 | |||||||||
25.8731 | − | 18.7979i | 1.14121 | − | 0.829139i | |||||
3.61038 | − | 11.1116i | 0.159093 | − | 0.489637i | |||||
0 | 0 | |||||||||
14.2371 | − | 0.822694i | 0.626145 | − | 0.0361820i | |||||
−34.4124 | −1.51199 | |||||||||
0 | 0 | |||||||||
−14.6353 | + | 10.6331i | −0.641798 | + | 0.466294i | |||||
−20.9287 | − | 15.2056i | −0.916902 | − | 0.666168i | 0.0258491 | − | 0.999666i | ||
−0.942751 | + | 0.333498i | ||||||||
0 | 0 | |||||||||
−8.42503 | − | 25.9296i | −0.368401 | − | 1.13382i | −0.947824 | − | 0.318794i | ||
0.579423 | − | 0.815027i | ||||||||
−0.796178 | − | 0.578457i | −0.0347812 | − | 0.0252700i | |||||
0 | 0 | |||||||||
−11.2924 | + | 34.7544i | −0.492372 | + | 1.51537i | |||||
4.45819 | 0.194202 | |||||||||
0 | 0 | |||||||||
−11.0967 | −0.482466 | |||||||||
7.13563 | − | 21.9612i | 0.309952 | − | 0.953934i | |||||
0 | 0 | |||||||||
54.2433 | + | 39.4100i | 2.35174 | + | 1.70864i | |||||
13.3130 | + | 40.9731i | 0.576648 | + | 1.77474i | |||||
0 | 0 | |||||||||
3.78585 | + | 2.75058i | 0.163677 | + | 0.118918i | |||||
3.49058 | − | 2.53605i | 0.150770 | − | 0.109541i | |||||
0 | 0 | |||||||||
−9.37812 | −0.404320 | |||||||||
−9.82654 | + | 37.4757i | −0.423259 | + | 1.61419i | |||||
0 | 0 | |||||||||
−7.22580 | + | 22.2387i | −0.310661 | + | 0.956118i | 0.666842 | + | 0.745199i | ||
−0.977504 | + | 0.210919i | ||||||||
−27.5428 | + | 20.0110i | −1.18307 | + | 0.859547i | |||||
0 | 0 | |||||||||
0.433231 | + | 1.33335i | 0.0185746 | + | 0.0571668i | |||||
−4.95075 | − | 15.2368i | −0.212067 | − | 0.652675i | |||||
0 | 0 | |||||||||
−12.3642 | + | 8.98309i | −0.528654 | + | 0.384089i | −0.819854 | − | 0.572573i | ||
0.291200 | + | 0.956662i | ||||||||
−0.569506 | + | 1.75276i | −0.0243281 | + | 0.0748741i | |||||
0 | 0 | |||||||||
−8.32077 | + | 31.7331i | −0.354799 | + | 1.35310i | |||||
−39.8878 | −1.69928 | |||||||||
0 | 0 | |||||||||
−21.4818 | + | 15.6074i | −0.913498 | + | 0.663695i | |||||
4.89257 | + | 3.55466i | 0.207866 | + | 0.151023i | |||||
0 | 0 | |||||||||
−22.3461 | − | 68.7743i | −0.947687 | − | 2.91668i | |||||
−5.85761 | − | 4.25580i | −0.248195 | − | 0.180324i | 0.456732 | − | 0.889605i | ||
−0.704926 | + | 0.709280i | ||||||||
0 | 0 | |||||||||
−2.37366 | + | 7.30537i | −0.100395 | + | 0.308984i | |||||
−18.4904 | −0.781364 | |||||||||
0 | 0 | |||||||||
49.0113 | 2.06742 | |||||||||
−9.74643 | + | 29.9964i | −0.410763 | + | 1.26420i | 0.505223 | + | 0.862989i | ||
−0.915986 | + | 0.401210i | ||||||||
0 | 0 | |||||||||
−0.680384 | − | 0.494328i | −0.0286240 | − | 0.0207965i | |||||
−5.46532 | − | 16.8205i | −0.229725 | − | 0.707019i | |||||
0 | 0 | |||||||||
15.4407 | + | 11.2183i | 0.647879 | + | 0.470711i | |||||
9.04664 | − | 6.57277i | 0.379255 | − | 0.275545i | −0.381783 | − | 0.924252i | ||
0.761038 | + | 0.648707i | ||||||||
0 | 0 | |||||||||
11.5906 | 0.485052 | 0.242526 | − | 0.970145i | ||||||
0.242526 | + | 0.970145i | ||||||||
−48.5563 | + | 2.80585i | −2.03024 | + | 0.117318i | |||||
0 | 0 | |||||||||
−39.1290 | + | 120.427i | −1.63321 | + | 5.02652i | |||||
−11.2215 | + | 8.15293i | −0.467971 | + | 0.340001i | |||||
0 | 0 | |||||||||
5.23344 | + | 16.1069i | 0.217871 | + | 0.670537i | 0.998937 | + | 0.0460895i | ||
−0.781067 | + | 0.624448i | ||||||||
7.62072 | + | 23.4541i | 0.316980 | + | 0.975564i | |||||
0 | 0 | |||||||||
33.8263 | − | 24.5763i | 1.40456 | − | 1.02047i | |||||
−4.48776 | + | 13.8119i | −0.186184 | + | 0.573015i | |||||
0 | 0 | |||||||||
24.3343 | − | 19.9225i | 1.00783 | − | 0.825107i | |||||
−57.6304 | −2.38476 | |||||||||
0 | 0 | |||||||||
33.9606 | − | 24.6738i | 1.40290 | − | 1.01927i | |||||
7.31900 | + | 5.31756i | 0.302087 | + | 0.219479i | 0.728494 | − | 0.685052i | ||
−0.426406 | + | 0.904532i | ||||||||
0 | 0 | |||||||||
1.99621 | + | 6.14370i | 0.0822523 | + | 0.253147i | |||||
12.7508 | + | 9.26403i | 0.524944 | + | 0.381394i | |||||
0 | 0 | |||||||||
4.32219 | − | 13.3023i | 0.177641 | − | 0.546722i | |||||
20.4127 | 0.838248 | 0.419124 | − | 0.907929i | ||||||
0.419124 | + | 0.907929i | ||||||||
0 | 0 | |||||||||
11.2996 | 0.463237 | |||||||||
−19.9631 | + | 61.4401i | −0.817720 | + | 2.51668i | |||||
0 | 0 | |||||||||
−24.8460 | − | 18.0517i | −1.01603 | − | 0.738189i | |||||
−12.9855 | − | 39.9652i | −0.530573 | − | 1.63293i | −0.753026 | − | 0.657991i | ||
0.222453 | − | 0.974943i | ||||||||
0 | 0 | |||||||||
8.65252 | + | 6.28642i | 0.352944 | + | 0.256429i | 0.750103 | − | 0.661321i | ||
−0.397159 | + | 0.917750i | ||||||||
−18.2649 | + | 13.2703i | −0.744423 | + | 0.540855i | |||||
0 | 0 | |||||||||
24.5364 | 0.998373 | |||||||||
8.01249 | − | 7.37157i | 0.325754 | − | 0.299697i | |||||
0 | 0 | |||||||||
−14.0910 | + | 43.3676i | −0.571936 | + | 1.76024i | 0.0744490 | + | 0.997225i | ||
−0.646385 | + | 0.763012i | ||||||||
−1.64346 | + | 1.19405i | −0.0666513 | + | 0.0484250i | |||||
0 | 0 | |||||||||
−3.62006 | − | 11.1414i | −0.146572 | − | 0.451102i | |||||
−4.80732 | − | 14.7954i | −0.194483 | − | 0.598558i | |||||
0 | 0 | |||||||||
−21.9790 | + | 15.9687i | −0.887725 | + | 0.644970i | −0.935284 | − | 0.353899i | ||
0.0475592 | + | 0.998868i | ||||||||
−5.69332 | + | 17.5222i | −0.229764 | + | 0.707140i | |||||
0 | 0 | |||||||||
−60.9432 | − | 39.1140i | −2.45547 | − | 1.57595i | |||||
7.83117 | 0.315271 | 0.157636 | − | 0.987497i | ||||||
0.157636 | + | 0.987497i | ||||||||
0 | 0 | |||||||||
−30.6835 | + | 22.2929i | −1.23327 | + | 0.896027i | −0.997131 | − | 0.0756915i | ||
−0.236144 | + | 0.971718i | ||||||||
−5.47820 | − | 3.98015i | −0.220010 | − | 0.159847i | |||||
0 | 0 | |||||||||
7.99883 | + | 24.6179i | 0.320724 | + | 0.987087i | |||||
−46.3684 | − | 33.6886i | −1.85771 | − | 1.34971i | |||||
0 | 0 | |||||||||
3.48099 | − | 10.7134i | 0.139239 | − | 0.428535i | |||||
25.6727 | 1.02609 | |||||||||
0 | 0 | |||||||||
30.3257 | 1.21013 | |||||||||
−2.64130 | + | 8.12910i | −0.105316 | + | 0.324128i | |||||
0 | 0 | |||||||||
22.3432 | + | 16.2333i | 0.889468 | + | 0.646237i | 0.935739 | − | 0.352692i | ||
−0.0462710 | + | 0.998929i | ||||||||
−9.59006 | − | 29.5152i | −0.381472 | − | 1.17405i | |||||
0 | 0 | |||||||||
−25.4540 | − | 18.4934i | −1.01091 | − | 0.734467i | |||||
9.33247 | − | 6.78044i | 0.370348 | − | 0.269073i | |||||
0 | 0 | |||||||||
42.2634 | 1.67454 | |||||||||
84.9029 | − | 4.90614i | 3.36134 | − | 0.194236i | |||||
0 | 0 | |||||||||
−5.84701 | + | 17.9952i | −0.231123 | + | 0.711324i | |||||
−3.61805 | + | 2.62867i | −0.142904 | + | 0.103826i | −0.656940 | − | 0.753942i | ||
0.514036 | + | 0.857769i | ||||||||
0 | 0 | |||||||||
−2.30885 | − | 7.10591i | −0.0910522 | − | 0.280230i | 0.895153 | − | 0.445760i | ||
−0.986205 | + | 0.165530i | ||||||||
−18.6776 | − | 57.4836i | −0.735999 | − | 2.26517i | |||||
0 | 0 | |||||||||
20.1212 | − | 14.6189i | 0.791657 | − | 0.575172i | |||||
3.55862 | − | 10.9523i | 0.139904 | − | 0.430579i | −0.856417 | − | 0.516285i | ||
0.996320 | + | 0.0857057i | ||||||||
0 | 0 | |||||||||
7.79994 | + | 19.9984i | 0.306174 | + | 0.785006i | |||||
35.7872 | 1.40369 | |||||||||
0 | 0 | |||||||||
−45.8312 | + | 33.2983i | −1.79489 | + | 1.30406i | |||||
17.1013 | + | 12.4248i | 0.669226 | + | 0.486221i | 0.869766 | − | 0.493464i | ||
−0.200540 | + | 0.979686i | ||||||||
0 | 0 | |||||||||
−0.0742632 | − | 0.228559i | −0.00290170 | − | 0.00893053i | |||||
−41.6372 | − | 30.2512i | −1.62566 | − | 1.18111i | |||||
0 | 0 | |||||||||
14.1295 | − | 43.4862i | 0.550826 | − | 1.69527i | |||||
−27.0354 | −1.05315 | −0.526575 | − | 0.850129i | ||||||
−0.526575 | + | 0.850129i | ||||||||
0 | 0 | |||||||||
−26.7618 | −1.04091 | −0.520456 | − | 0.853888i | ||||||
−0.520456 | + | 0.853888i | ||||||||
−12.4572 | + | 38.3393i | −0.484163 | + | 1.49010i | |||||
0 | 0 | |||||||||
−13.7319 | − | 9.97683i | −0.532902 | − | 0.387176i | |||||
5.05952 | + | 15.5716i | 0.196200 | + | 0.603841i | |||||
0 | 0 | |||||||||
29.0902 | + | 21.1353i | 1.12638 | + | 0.818362i | |||||
20.9576 | − | 15.2266i | 0.810874 | − | 0.589134i | |||||
0 | 0 | |||||||||
2.07990 | 0.0803536 | |||||||||
4.04677 | − | 15.4332i | 0.156224 | − | 0.595794i | |||||
0 | 0 | |||||||||
15.1845 | − | 46.7332i | 0.585321 | − | 1.80143i | −0.0126574 | − | 0.999920i | ||
0.597978 | − | 0.801512i | ||||||||
57.8571 | − | 42.0356i | 2.22857 | − | 1.61915i | |||||
0 | 0 | |||||||||
0.112939 | + | 0.347591i | 0.00434382 | + | 0.0133689i | |||||
14.1181 | + | 43.4511i | 0.542603 | + | 1.66996i | 0.726622 | + | 0.687038i | ||
−0.184019 | + | 0.982923i | ||||||||
0 | 0 | |||||||||
1.29857 | − | 0.943466i | 0.0498345 | − | 0.0362069i | |||||
−4.08104 | + | 12.5601i | −0.156501 | + | 0.481660i | |||||
0 | 0 | |||||||||
−5.00468 | − | 12.8316i | −0.191639 | − | 0.491347i | |||||
−47.1991 | −1.80602 | −0.903012 | − | 0.429615i | ||||||
−0.903012 | + | 0.429615i | ||||||||
0 | 0 | |||||||||
−0.364093 | + | 0.264529i | −0.0139113 | + | 0.0101071i | |||||
40.2739 | + | 29.2607i | 1.53766 | + | 1.11718i | |||||
0 | 0 | |||||||||
−2.83563 | − | 8.72717i | −0.108107 | − | 0.332720i | |||||
−27.7554 | − | 20.1655i | −1.05740 | − | 0.768243i | |||||
0 | 0 | |||||||||
9.20361 | − | 28.3258i | 0.350122 | − | 1.07756i | −0.608662 | − | 0.793429i | ||
0.958784 | − | 0.284135i | ||||||||
−31.8002 | −1.20886 | |||||||||
0 | 0 | |||||||||
−53.1004 | −2.01566 | |||||||||
5.45684 | − | 16.7944i | 0.206990 | − | 0.637049i | |||||
0 | 0 | |||||||||
25.4446 | + | 18.4866i | 0.963783 | + | 0.700229i | |||||
−18.3991 | − | 56.6267i | −0.696417 | − | 2.14335i | |||||
0 | 0 | |||||||||
56.9802 | + | 41.3985i | 2.15365 | + | 1.56472i | |||||
−0.479434 | + | 0.348329i | −0.0181080 | + | 0.0131562i | −0.596802 | − | 0.802388i | ||
0.578694 | + | 0.815544i | ||||||||
0 | 0 | |||||||||
−12.3851 | −0.467115 | |||||||||
−18.8325 | + | 15.4182i | −0.709778 | + | 0.581095i | |||||
0 | 0 | |||||||||
−15.9508 | + | 49.0915i | −0.600316 | + | 1.84758i | |||||
45.4375 | − | 33.0123i | 1.70885 | − | 1.24155i | |||||
0 | 0 | |||||||||
−10.4557 | − | 32.1793i | −0.392672 | − | 1.20852i | −0.930760 | − | 0.365631i | ||
0.538088 | − | 0.842888i | ||||||||
2.84312 | + | 8.75023i | 0.106700 | + | 0.328390i | |||||
0 | 0 | |||||||||
54.1937 | − | 39.3740i | 2.03099 | − | 1.47560i | |||||
1.79952 | − | 5.53834i | 0.0673924 | − | 0.207412i | |||||
0 | 0 | |||||||||
−9.99547 | − | 6.41521i | −0.373810 | − | 0.239915i | |||||
19.7593 | 0.738439 | |||||||||
0 | 0 | |||||||||
−31.2171 | + | 22.6806i | −1.16501 | + | 0.846431i | |||||
−39.3929 | − | 28.6206i | −1.46911 | − | 1.06737i | −0.980871 | − | 0.194657i | ||
−0.488236 | − | 0.872712i | ||||||||
0 | 0 | |||||||||
−15.7659 | − | 48.5223i | −0.587151 | − | 1.80707i | |||||
−8.66319 | − | 6.29417i | −0.322410 | − | 0.234245i | |||||
0 | 0 | |||||||||
11.3311 | − | 34.8736i | 0.421117 | − | 1.29607i | |||||
−41.9004 | −1.55614 | |||||||||
0 | 0 | |||||||||
−38.4706 | −1.42680 | −0.713399 | − | 0.700758i | ||||||
−0.713399 | + | 0.700758i | ||||||||
−24.4112 | + | 75.1299i | −0.904739 | + | 2.78450i | |||||
0 | 0 | |||||||||
−22.4756 | − | 16.3295i | −0.831861 | − | 0.604382i | |||||
1.73286 | + | 5.33320i | 0.0640922 | + | 0.197256i | |||||
0 | 0 | |||||||||
−7.72793 | − | 5.61467i | −0.285437 | − | 0.207382i | 0.435848 | − | 0.900020i | ||
−0.721286 | + | 0.692638i | ||||||||
−16.3108 | + | 11.8505i | −0.602043 | + | 0.437410i | |||||
0 | 0 | |||||||||
1.83127 | 0.0675015 | |||||||||
2.38397 | + | 1.53006i | 0.0878146 | + | 0.0563605i | |||||
0 | 0 | |||||||||
5.87978 | − | 18.0961i | 0.216291 | − | 0.665675i | −0.782768 | − | 0.622313i | ||
0.999059 | − | 0.0433623i | ||||||||
10.5031 | − | 7.63092i | 0.386100 | − | 0.280518i | |||||
0 | 0 | |||||||||
−31.1599 | − | 95.9004i | −1.14392 | − | 3.52061i | |||||
3.92913 | + | 12.0926i | 0.144146 | + | 0.443635i | 0.996900 | − | 0.0786769i | ||
−0.852754 | + | 0.522312i | ||||||||
0 | 0 | |||||||||
−12.7627 | + | 9.27263i | −0.467588 | + | 0.339723i | |||||
−23.4298 | + | 72.1095i | −0.857826 | + | 2.64012i | |||||
0 | 0 | |||||||||
−27.4740 | + | 22.4930i | −1.00455 | + | 0.822425i | |||||
20.4348 | 0.746671 | |||||||||
0 | 0 | |||||||||
30.8657 | − | 22.4252i | 1.12630 | − | 0.818308i | 0.141151 | − | 0.989988i | ||
0.985153 | + | 0.171680i | ||||||||
15.0352 | + | 10.9237i | 0.548277 | + | 0.398347i | |||||
0 | 0 | |||||||||
−28.6685 | − | 88.2325i | −1.04404 | − | 3.21324i | |||||
4.84739 | + | 3.52184i | 0.176415 | + | 0.128173i | |||||
0 | 0 | |||||||||
2.01311 | − | 6.19571i | 0.0731677 | − | 0.225187i | −0.907784 | − | 0.419437i | ||
0.980952 | + | 0.194250i | ||||||||
−48.7563 | −1.77091 | |||||||||
0 | 0 | |||||||||
−19.1361 | −0.694140 | |||||||||
−13.8835 | + | 42.7291i | −0.503278 | + | 1.54893i | 0.300369 | + | 0.953823i | ||
−0.803646 | + | 0.595107i | ||||||||
0 | 0 | |||||||||
−56.5992 | − | 41.1217i | −2.04903 | − | 1.48871i | |||||
23.5068 | + | 72.3464i | 0.850445 | + | 2.61740i | |||||
0 | 0 | |||||||||
47.1252 | + | 34.2385i | 1.70270 | + | 1.23709i | |||||
18.9443 | − | 13.7638i | 0.684039 | − | 0.496983i | |||||
0 | 0 | |||||||||
−0.0822779 | −0.00296702 | −0.00148351 | − | 0.999999i | ||||||
−0.00148351 | + | 0.999999i | ||||||||
−12.6847 | − | 32.5225i | −0.457125 | − | 1.17203i | |||||
0 | 0 | |||||||||
−21.6717 | + | 66.6986i | −0.779982 | + | 2.40054i | |||||
−15.3850 | + | 11.1779i | −0.553361 | + | 0.402040i | −0.829023 | − | 0.559215i | ||
0.275662 | + | 0.961255i | ||||||||
0 | 0 | |||||||||
2.09693 | + | 6.45369i | 0.0753240 | + | 0.231823i | |||||
0.579717 | + | 1.78419i | 0.0208106 | + | 0.0640486i | |||||
0 | 0 | |||||||||
−16.9517 | + | 12.3161i | −0.607748 | + | 0.441555i | |||||
−14.0827 | + | 43.3421i | −0.504565 | + | 1.55289i | |||||
0 | 0 | |||||||||
−3.17825 | + | 12.1210i | −0.113727 | + | 0.433722i | |||||
−22.4205 | −0.801755 | |||||||||
0 | 0 | |||||||||
−40.8464 | + | 29.6766i | −1.45880 | + | 1.05988i | |||||
5.99111 | + | 4.35280i | 0.213832 | + | 0.155358i | |||||
0 | 0 | |||||||||
2.66677 | + | 8.20747i | 0.0950601 | + | 0.292565i | 0.987269 | − | 0.159057i | ||
−0.892209 | + | 0.451622i | ||||||||
−19.8978 | − | 14.4566i | −0.708829 | − | 0.514994i | |||||
0 | 0 | |||||||||
4.62300 | − | 14.2281i | 0.164479 | − | 0.506214i | |||||
−3.67249 | −0.130579 | |||||||||
0 | 0 | |||||||||
−17.4049 | −0.618068 | |||||||||
2.87671 | − | 8.85359i | 0.102091 | − | 0.314202i | |||||
0 | 0 | |||||||||
33.1547 | + | 24.0883i | 1.17514 | + | 0.853788i | |||||
5.12156 | + | 15.7626i | 0.181415 | + | 0.558338i | 0.999868 | − | 0.0162351i | ||
−0.818453 | + | 0.574573i | ||||||||
0 | 0 | |||||||||
−9.18806 | − | 6.67552i | −0.325050 | − | 0.236163i | |||||
−1.72639 | + | 1.25429i | −0.0610370 | + | 0.0443460i | |||||
0 | 0 | |||||||||
43.1870 | 1.52499 | |||||||||
−13.7488 | − | 35.2508i | −0.485184 | − | 1.24397i | |||||
0 | 0 | |||||||||
4.56099 | − | 14.0373i | 0.160754 | − | 0.494749i | |||||
−12.1552 | + | 8.83130i | −0.428150 | + | 0.311069i | |||||
0 | 0 | |||||||||
20.2846 | + | 62.4295i | 0.713608 | + | 2.19626i | |||||
6.99703 | + | 21.5347i | 0.246003 | + | 0.757118i | 0.995470 | + | 0.0950768i | ||
−0.749467 | + | 0.662041i | ||||||||
0 | 0 | |||||||||
45.7773 | − | 33.2592i | 1.60746 | − | 1.16789i | 0.736635 | − | 0.676290i | ||
0.870823 | − | 0.491597i | ||||||||
56.4213 | − | 173.647i | 1.98000 | − | 6.09382i | |||||
0 | 0 | |||||||||
26.3623 | − | 1.52336i | 0.923999 | − | 0.0533936i | |||||
−13.8338 | −0.484578 | |||||||||
0 | 0 | |||||||||
−6.57362 | + | 4.77601i | −0.229982 | + | 0.167092i | |||||
56.3108 | + | 40.9122i | 1.96886 | + | 1.43046i | |||||
0 | 0 | |||||||||
−14.7619 | − | 45.4325i | −0.515508 | − | 1.58657i | |||||
38.3065 | + | 27.8313i | 1.33690 | + | 0.971318i | 0.999552 | + | 0.0299397i | ||
0.337353 | + | 0.941378i | ||||||||
0 | 0 | |||||||||
−2.15721 | + | 6.63922i | −0.0751957 | + | 0.231429i | −0.981589 | − | 0.191007i | ||
0.906393 | + | 0.422435i | ||||||||
59.6296 | 2.07729 | |||||||||
0 | 0 | |||||||||
68.8249 | 2.39472 | |||||||||
12.3062 | − | 37.8747i | 0.427929 | − | 1.31703i | −0.472232 | − | 0.881474i | ||
0.900161 | − | 0.435557i | ||||||||
0 | 0 | |||||||||
26.7634 | + | 19.4447i | 0.929530 | + | 0.675343i | 0.945878 | − | 0.324524i | ||
−0.0163480 | + | 0.999866i | ||||||||
−2.52848 | − | 7.78186i | −0.0877648 | − | 0.270112i | |||||
0 | 0 | |||||||||
21.4801 | + | 15.6062i | 0.744688 | + | 0.541047i | |||||
24.9614 | − | 18.1355i | 0.864860 | − | 0.628357i | |||||
0 | 0 | |||||||||
6.32591 | 0.218917 | |||||||||
−43.2987 | − | 27.7896i | −1.49752 | − | 0.961125i | |||||
0 | 0 | |||||||||
−24.5083 | + | 75.4288i | −0.846626 | + | 2.60565i | |||||
27.6635 | − | 20.0987i | 0.955052 | − | 0.693886i | 0.00305543 | − | 0.999995i | ||
0.951996 | + | 0.306110i | ||||||||
0 | 0 | |||||||||
24.6042 | + | 75.7238i | 0.848419 | + | 2.61117i | |||||
21.6239 | + | 66.5515i | 0.745209 | + | 2.29352i | |||||
0 | 0 | |||||||||
−48.3390 | + | 35.1204i | −1.66390 | + | 1.20889i | |||||
−0.0275793 | + | 0.0848805i | −0.000948758 | + | 0.00291998i | |||||
0 | 0 | |||||||||
9.38576 | − | 46.6085i | 0.322498 | − | 1.60149i | |||||
40.9846 | 1.40742 | |||||||||
0 | 0 | |||||||||
21.1364 | − | 15.3565i | 0.724973 | − | 0.526724i | |||||
9.03251 | + | 6.56250i | 0.309631 | + | 0.224960i | |||||
0 | 0 | |||||||||
−2.36127 | − | 7.26723i | −0.0808482 | − | 0.248825i | 0.902460 | − | 0.430774i | ||
−0.983308 | + | 0.181949i | ||||||||
−41.3861 | − | 30.0688i | −1.41620 | − | 1.02893i | |||||
0 | 0 | |||||||||
−7.38038 | + | 22.7145i | −0.252256 | + | 0.776365i | |||||
−27.6052 | −0.942976 | −0.471488 | − | 0.881873i | ||||||
−0.471488 | + | 0.881873i | ||||||||
0 | 0 | |||||||||
−17.0244 | −0.580864 | −0.290432 | − | 0.956896i | ||||||
−0.290432 | + | 0.956896i | ||||||||
2.63200 | − | 8.10047i | 0.0897506 | − | 0.276224i | |||||
0 | 0 | |||||||||
53.3283 | + | 38.7453i | 1.81637 | + | 1.31967i | |||||
−3.17117 | − | 9.75984i | −0.107948 | − | 0.332229i | 0.882463 | − | 0.470381i | ||
−0.990411 | + | 0.138152i | ||||||||
0 | 0 | |||||||||
−6.28240 | − | 4.56443i | −0.213608 | − | 0.155195i | |||||
−18.7150 | + | 13.5973i | −0.635963 | + | 0.462054i | |||||
0 | 0 | |||||||||
−29.5695 | −1.00366 | |||||||||
15.7656 | − | 12.9073i | 0.534813 | − | 0.437851i | |||||
0 | 0 | |||||||||
0.954915 | − | 2.93893i | 0.0323561 | − | 0.0995817i | |||||
66.1511 | − | 48.0616i | 2.24016 | − | 1.62757i | |||||
0 | 0 | |||||||||
−10.0391 | − | 30.8970i | −0.339576 | − | 1.04511i | |||||
11.9247 | + | 36.7005i | 0.403129 | + | 1.24070i | |||||
0 | 0 | |||||||||
18.0108 | − | 13.0856i | 0.608181 | − | 0.441869i | −0.240592 | − | 0.970626i | ||
0.848773 | + | 0.528757i | ||||||||
13.6062 | − | 41.8755i | 0.459187 | − | 1.41323i | |||||
0 | 0 | |||||||||
14.1650 | − | 0.818529i | 0.477501 | − | 0.0275926i | |||||
3.58540 | 0.120795 | 0.0603976 | − | 0.998174i | ||||||
0.0603976 | + | 0.998174i | ||||||||
0 | 0 | |||||||||
−36.3972 | + | 26.4441i | −1.22486 | + | 0.889916i | −0.996495 | − | 0.0836583i | ||
−0.228370 | + | 0.973574i | ||||||||
31.3364 | + | 22.7673i | 1.05396 | + | 0.765745i | |||||
0 | 0 | |||||||||
−13.9750 | − | 43.0106i | −0.469499 | − | 1.44497i | |||||
11.9764 | + | 8.70139i | 0.402129 | + | 0.292164i | 0.770408 | − | 0.637551i | ||
−0.368278 | + | 0.929716i | ||||||||
0 | 0 | |||||||||
15.5663 | − | 47.9081i | 0.522077 | − | 1.60679i | |||||
32.2919 | 1.08243 | |||||||||
0 | 0 | |||||||||
2.48862 | 0.0833253 | |||||||||
5.08527 | − | 15.6508i | 0.170172 | − | 0.523735i | |||||
0 | 0 | |||||||||
3.90362 | + | 2.83615i | 0.130484 | + | 0.0948019i | |||||
25.5328 | + | 78.5817i | 0.852989 | + | 2.62523i | |||||
0 | 0 | |||||||||
−11.9357 | − | 8.67181i | −0.398300 | − | 0.289382i | |||||
14.2316 | − | 10.3399i | 0.474651 | − | 0.344854i | |||||
0 | 0 | |||||||||
−25.0458 | −0.834397 | |||||||||
24.6446 | − | 93.9876i | 0.820575 | − | 3.12944i | |||||
0 | 0 | |||||||||
1.32638 | − | 4.08219i | 0.0441149 | − | 0.135772i | |||||
7.24413 | − | 5.26317i | 0.240803 | − | 0.174954i | |||||
0 | 0 | |||||||||
7.40837 | + | 22.8006i | 0.245991 | + | 0.757083i | 0.995472 | + | 0.0950565i | ||
−0.749481 | + | 0.662026i | ||||||||
−14.5421 | − | 44.7561i | −0.482598 | − | 1.48528i | |||||
0 | 0 | |||||||||
−30.8083 | + | 22.3835i | −1.02128 | + | 0.742006i | |||||
6.93704 | − | 21.3500i | 0.229835 | − | 0.707358i | −0.767930 | − | 0.640534i | ||
0.997765 | − | 0.0668244i | ||||||||
0 | 0 | |||||||||
2.82652 | − | 10.7796i | 0.0935442 | − | 0.356751i | |||||
−62.8240 | −2.07803 | |||||||||
0 | 0 | |||||||||
−2.66738 | + | 1.93796i | −0.0881326 | + | 0.0640321i | |||||
−0.849011 | − | 0.616842i | −0.0280368 | − | 0.0203699i | |||||
0 | 0 | |||||||||
5.84951 | + | 18.0029i | 0.192958 | + | 0.593862i | 0.999994 | + | 0.00336124i | ||
−0.807037 | + | 0.590501i | ||||||||
13.9560 | + | 10.1396i | 0.460116 | + | 0.334294i | |||||
0 | 0 | |||||||||
−24.0009 | + | 73.8672i | −0.790428 | + | 2.43269i | |||||
13.6695 | 0.449937 | |||||||||
0 | 0 | |||||||||
−13.0101 | −0.427768 | |||||||||
−2.86181 | + | 8.80775i | −0.0940450 | + | 0.289441i | |||||
0 | 0 | |||||||||
4.47541 | + | 3.25158i | 0.146913 | + | 0.106738i | |||||
−6.82412 | − | 21.0025i | −0.223892 | − | 0.689069i | −0.998402 | − | 0.0565076i | ||
0.774510 | − | 0.632562i | ||||||||
0 | 0 | |||||||||
36.1687 | + | 26.2781i | 1.18538 | + | 0.861231i | |||||
−56.5695 | + | 41.1001i | −1.85300 | + | 1.34628i | |||||
0 | 0 | |||||||||
14.3969 | 0.471080 | |||||||||
−8.65627 | + | 0.500206i | −0.283090 | + | 0.0163585i | |||||
0 | 0 | |||||||||
3.73772 | − | 11.5035i | 0.122106 | − | 0.375804i | −0.871257 | − | 0.490828i | ||
0.993363 | + | 0.115024i | ||||||||
7.34792 | − | 5.33858i | 0.239918 | − | 0.174311i | |||||
0 | 0 | |||||||||
5.33054 | + | 16.4057i | 0.173863 | + | 0.535095i | |||||
6.37683 | + | 19.6259i | 0.207879 | + | 0.639785i | 0.999583 | + | 0.0288803i | ||
−0.791704 | + | 0.610905i | ||||||||
0 | 0 | |||||||||
33.2361 | − | 24.1475i | 1.08232 | − | 0.786350i | |||||
−8.64439 | + | 26.6047i | −0.281351 | + | 0.865909i | |||||
0 | 0 | |||||||||
13.4048 | − | 10.9745i | 0.435827 | − | 0.356812i | |||||
5.27445 | 0.171397 | 0.0856983 | − | 0.996321i | ||||||
0.0856983 | + | 0.996321i | ||||||||
0 | 0 | |||||||||
−33.3927 | + | 24.2612i | −1.08397 | + | 0.787553i | |||||
30.6264 | + | 22.2514i | 0.993653 | + | 0.721931i | |||||
0 | 0 | |||||||||
17.8211 | + | 54.8477i | 0.577586 | + | 1.77763i | |||||
43.2076 | + | 31.3922i | 1.39963 | + | 1.01689i | 0.994730 | + | 0.102532i | ||
0.404902 | + | 0.914360i | ||||||||
0 | 0 | |||||||||
−5.74026 | + | 17.6667i | −0.185751 | + | 0.571681i | |||||
0.809640 | 0.0261856 | |||||||||
0 | 0 | |||||||||
63.2050 | 2.04206 | |||||||||
−0.607297 | + | 1.86907i | −0.0196106 | + | 0.0603553i | |||||
0 | 0 | |||||||||
22.7747 | + | 16.5468i | 0.734668 | + | 0.533767i | |||||
−8.90156 | − | 27.3962i | −0.286998 | − | 0.883288i | |||||
0 | 0 | |||||||||
−48.6326 | − | 35.3336i | −1.56635 | − | 1.13802i | |||||
−13.8550 | + | 10.0663i | −0.446009 | + | 0.324044i | |||||
0 | 0 | |||||||||
44.5529 | 1.43273 | 0.716363 | − | 0.697728i | ||||||
0.716363 | + | 0.697728i | ||||||||
48.4182 | + | 27.2663i | 1.55622 | + | 0.876372i | |||||
0 | 0 | |||||||||
−0.279460 | + | 0.860089i | −0.00897291 | + | 0.0276158i | |||||
−32.0517 | + | 23.2869i | −1.02859 | + | 0.747313i | −0.968026 | − | 0.250852i | ||
−0.0605623 | + | 0.998164i | ||||||||
0 | 0 | |||||||||
−23.8290 | − | 73.3381i | −0.763922 | − | 2.35111i | |||||
4.04022 | + | 12.4345i | 0.129457 | + | 0.398428i | |||||
0 | 0 | |||||||||
16.8214 | − | 12.2214i | 0.538439 | − | 0.391199i | |||||
17.5677 | − | 54.0679i | 0.562041 | − | 1.72979i | −0.114541 | − | 0.993418i | ||
0.676583 | − | 0.736367i | ||||||||
0 | 0 | |||||||||
37.0128 | + | 23.7552i | 1.18293 | + | 0.759220i | |||||
−46.8633 | −1.49699 | |||||||||
0 | 0 | |||||||||
4.90574 | − | 3.56423i | 0.156548 | − | 0.113739i | |||||
9.04164 | + | 6.56913i | 0.288383 | + | 0.209523i | 0.722566 | − | 0.691302i | ||
−0.434182 | + | 0.900825i | ||||||||
0 | 0 | |||||||||
−1.85596 | − | 5.71205i | −0.0591357 | − | 0.182001i | |||||
−54.7931 | − | 39.8095i | −1.74497 | − | 1.26779i | |||||
0 | 0 | |||||||||
−17.3436 | + | 53.3781i | −0.551774 | + | 1.69818i | |||||
7.32482 | 0.232916 | |||||||||
0 | 0 | |||||||||
−37.0475 | −1.17685 | −0.588426 | − | 0.808551i | ||||||
−0.588426 | + | 0.808551i | ||||||||
0.276848 | − | 0.852050i | 0.00878993 | − | 0.0270526i | |||||
0 | 0 | |||||||||
32.5039 | + | 23.6154i | 1.03096 | + | 0.749036i | |||||
3.09250 | + | 9.51772i | 0.0980387 | + | 0.301732i | |||||
0 | 0 | |||||||||
−34.8630 | − | 25.3294i | −1.10412 | − | 0.802191i | −0.122394 | − | 0.992482i | ||
−0.981728 | + | 0.190290i | ||||||||
44.3921 | − | 32.2527i | 1.40521 | − | 1.02094i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 297.2.f.b.163.1 | yes | 16 | |
3.2 | odd | 2 | inner | 297.2.f.b.163.4 | yes | 16 | |
9.2 | odd | 6 | 891.2.n.h.757.1 | 32 | |||
9.4 | even | 3 | 891.2.n.h.460.1 | 32 | |||
9.5 | odd | 6 | 891.2.n.h.460.4 | 32 | |||
9.7 | even | 3 | 891.2.n.h.757.4 | 32 | |||
11.4 | even | 5 | 3267.2.a.bj.1.1 | 8 | |||
11.5 | even | 5 | inner | 297.2.f.b.82.1 | ✓ | 16 | |
11.7 | odd | 10 | 3267.2.a.bi.1.8 | 8 | |||
33.5 | odd | 10 | inner | 297.2.f.b.82.4 | yes | 16 | |
33.26 | odd | 10 | 3267.2.a.bj.1.8 | 8 | |||
33.29 | even | 10 | 3267.2.a.bi.1.1 | 8 | |||
99.5 | odd | 30 | 891.2.n.h.379.1 | 32 | |||
99.16 | even | 15 | 891.2.n.h.676.1 | 32 | |||
99.38 | odd | 30 | 891.2.n.h.676.4 | 32 | |||
99.49 | even | 15 | 891.2.n.h.379.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.f.b.82.1 | ✓ | 16 | 11.5 | even | 5 | inner | |
297.2.f.b.82.4 | yes | 16 | 33.5 | odd | 10 | inner | |
297.2.f.b.163.1 | yes | 16 | 1.1 | even | 1 | trivial | |
297.2.f.b.163.4 | yes | 16 | 3.2 | odd | 2 | inner | |
891.2.n.h.379.1 | 32 | 99.5 | odd | 30 | |||
891.2.n.h.379.4 | 32 | 99.49 | even | 15 | |||
891.2.n.h.460.1 | 32 | 9.4 | even | 3 | |||
891.2.n.h.460.4 | 32 | 9.5 | odd | 6 | |||
891.2.n.h.676.1 | 32 | 99.16 | even | 15 | |||
891.2.n.h.676.4 | 32 | 99.38 | odd | 30 | |||
891.2.n.h.757.1 | 32 | 9.2 | odd | 6 | |||
891.2.n.h.757.4 | 32 | 9.7 | even | 3 | |||
3267.2.a.bi.1.1 | 8 | 33.29 | even | 10 | |||
3267.2.a.bi.1.8 | 8 | 11.7 | odd | 10 | |||
3267.2.a.bj.1.1 | 8 | 11.4 | even | 5 | |||
3267.2.a.bj.1.8 | 8 | 33.26 | odd | 10 |