Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 891.n (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | no (minimal twist has level 297) |
Sato-Tate group: |
Embedding invariants
Embedding label | 784.2 | ||
Character | 891.784 | ||
Dual form | 891.2.n.f.433.2 |
-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 .
−0.0378659 | − | 0.360270i | −0.0267752 | − | 0.254749i | −0.999719 | − | 0.0237069i | ||
0.972944 | − | 0.231042i | ||||||||
0 | 0 | |||||||||
1.82793 | − | 0.388540i | 0.913967 | − | 0.194270i | |||||
0.280735 | − | 2.67101i | 0.125548 | − | 1.19451i | −0.732436 | − | 0.680836i | ||
0.857984 | − | 0.513676i | ||||||||
0 | 0 | |||||||||
−1.66890 | − | 1.85350i | −0.630786 | − | 0.700559i | 0.340022 | − | 0.940417i | ||
−0.970808 | + | 0.239859i | ||||||||
−0.433081 | − | 1.33288i | −0.153117 | − | 0.471246i | |||||
0 | 0 | |||||||||
−0.972914 | −0.307663 | |||||||||
3.26867 | + | 0.561950i | 0.985541 | + | 0.169434i | |||||
0 | 0 | |||||||||
3.48756 | + | 1.55276i | 0.967274 | + | 0.430658i | 0.828700 | − | 0.559694i | ||
0.138575 | + | 0.990352i | ||||||||
−0.604567 | + | 0.671439i | −0.161577 | + | 0.179450i | |||||
0 | 0 | |||||||||
2.95062 | − | 1.31370i | 0.737654 | − | 0.328425i | |||||
−0.909782 | − | 0.660995i | −0.220654 | − | 0.160315i | 0.471967 | − | 0.881616i | ||
−0.692621 | + | 0.721301i | ||||||||
0 | 0 | |||||||||
2.09612 | + | 6.45120i | 0.480883 | + | 1.48001i | 0.837856 | + | 0.545891i | ||
−0.356973 | + | 0.934115i | ||||||||
−0.524629 | − | 4.99151i | −0.117311 | − | 1.11614i | |||||
0 | 0 | |||||||||
0.0786824 | − | 1.19888i | 0.0167751 | − | 0.255602i | |||||
−3.37470 | − | 5.84515i | −0.703674 | − | 1.21880i | −0.967168 | − | 0.254138i | ||
0.263494 | − | 0.964661i | ||||||||
0 | 0 | |||||||||
−2.16475 | − | 0.460133i | −0.432951 | − | 0.0920266i | |||||
0.427353 | − | 1.31526i | 0.0838108 | − | 0.257943i | |||||
0 | 0 | |||||||||
−3.77080 | − | 2.73965i | −0.712615 | − | 0.517745i | |||||
−4.96799 | − | 5.51751i | −0.922532 | − | 1.02458i | −0.999620 | − | 0.0275515i | ||
0.0770882 | − | 0.997024i | ||||||||
0 | 0 | |||||||||
−6.12482 | − | 2.72695i | −1.10005 | − | 0.489774i | −0.225271 | − | 0.974296i | ||
−0.874779 | + | 0.484522i | ||||||||
−1.98649 | − | 3.44070i | −0.351165 | − | 0.608236i | |||||
0 | 0 | |||||||||
−0.203687 | + | 0.352796i | −0.0349320 | + | 0.0605040i | |||||
−5.41925 | + | 3.93732i | −0.916020 | + | 0.665528i | |||||
0 | 0 | |||||||||
−0.0589927 | + | 0.181561i | −0.00969834 | + | 0.0298484i | −0.955789 | − | 0.294055i | ||
0.946090 | + | 0.323903i | ||||||||
2.24480 | − | 0.999449i | 0.364154 | − | 0.162132i | |||||
0 | 0 | |||||||||
−3.68173 | + | 0.782576i | −0.582133 | + | 0.123736i | |||||
0.425779 | − | 0.472875i | 0.0664954 | − | 0.0738507i | −0.708979 | − | 0.705229i | ||
0.775475 | + | 0.631379i | ||||||||
0 | 0 | |||||||||
−2.36375 | + | 4.09413i | −0.360468 | + | 0.624349i | −0.988038 | − | 0.154212i | ||
0.627570 | + | 0.778560i | ||||||||
6.19326 | − | 0.242800i | 0.933669 | − | 0.0366035i | |||||
0 | 0 | |||||||||
−1.97805 | + | 1.43713i | −0.291647 | + | 0.211894i | |||||
11.0461 | + | 2.34792i | 1.61124 | + | 0.342480i | 0.923536 | − | 0.383512i | ||
0.687704 | + | 0.725991i | ||||||||
0 | 0 | |||||||||
0.0814578 | − | 0.775019i | 0.0116368 | − | 0.110717i | |||||
−0.0838015 | + | 0.797318i | −0.0118513 | + | 0.112758i | |||||
0 | 0 | |||||||||
6.97834 | + | 1.48329i | 0.967721 | + | 0.205695i | |||||
−4.45732 | + | 3.23843i | −0.612259 | + | 0.444833i | −0.850209 | − | 0.526445i | ||
0.237950 | + | 0.971277i | ||||||||
0 | 0 | |||||||||
2.41860 | − | 8.57290i | 0.326125 | − | 1.15597i | |||||
−1.74774 | + | 3.02717i | −0.233551 | + | 0.404523i | |||||
0 | 0 | |||||||||
−1.79967 | + | 1.99874i | −0.236309 | + | 0.262447i | |||||
−8.24507 | + | 1.75254i | −1.07342 | + | 0.228162i | −0.710527 | − | 0.703670i | ||
−0.362890 | + | 0.931832i | ||||||||
0 | 0 | |||||||||
1.57297 | − | 0.700331i | 0.201398 | − | 0.0896682i | −0.303559 | − | 0.952813i | ||
0.504957 | + | 0.863144i | ||||||||
−0.750514 | + | 2.30984i | −0.0953154 | + | 0.293351i | |||||
0 | 0 | |||||||||
4.06165 | − | 2.95096i | 0.507706 | − | 0.368870i | |||||
5.12652 | − | 8.87939i | 0.635866 | − | 1.10135i | |||||
0 | 0 | |||||||||
−2.25335 | − | 3.90292i | −0.275291 | − | 0.476817i | 0.694918 | − | 0.719089i | ||
−0.970208 | + | 0.242272i | ||||||||
−1.91984 | − | 0.854770i | −0.232815 | − | 0.103656i | |||||
0 | 0 | |||||||||
1.62370 | + | 1.80330i | 0.194069 | + | 0.215536i | |||||
9.95124 | + | 7.23000i | 1.18099 | + | 0.858043i | 0.992284 | − | 0.123990i | ||
0.188711 | + | 0.982033i | ||||||||
0 | 0 | |||||||||
−0.658284 | + | 2.02599i | −0.0770463 | + | 0.237124i | −0.982161 | − | 0.188044i | ||
0.905114 | + | 0.425168i | ||||||||
0.0676446 | + | 0.0143783i | 0.00786353 | + | 0.00167144i | |||||
0 | 0 | |||||||||
6.33812 | + | 10.9779i | 0.727032 | + | 1.25926i | |||||
−4.41352 | − | 6.99633i | −0.502967 | − | 0.797306i | |||||
0 | 0 | |||||||||
1.21066 | + | 11.5186i | 0.136210 | + | 1.29595i | 0.822561 | + | 0.568677i | ||
−0.686351 | + | 0.727270i | ||||||||
−2.68057 | − | 8.24994i | −0.299696 | − | 0.922371i | |||||
0 | 0 | |||||||||
−0.186485 | − | 0.135489i | −0.0205938 | − | 0.0149623i | |||||
−0.747666 | + | 0.332882i | −0.0820670 | + | 0.0365386i | −0.447360 | − | 0.894354i | ||
0.365293 | + | 0.930893i | ||||||||
0 | 0 | |||||||||
−2.02093 | + | 2.24447i | −0.219201 | + | 0.243447i | |||||
1.56449 | + | 0.696558i | 0.168704 | + | 0.0751118i | |||||
0 | 0 | |||||||||
−0.666583 | − | 4.60013i | −0.0710580 | − | 0.490376i | |||||
−1.42041 | −0.150564 | −0.0752818 | − | 0.997162i | ||||||
−0.0752818 | + | 0.997162i | ||||||||
0 | 0 | |||||||||
−2.94234 | − | 9.05560i | −0.308441 | − | 0.949285i | |||||
−8.43981 | − | 9.37336i | −0.879911 | − | 0.977240i | |||||
0 | 0 | |||||||||
0.427615 | − | 4.06848i | 0.0441051 | − | 0.419632i | |||||
17.8197 | − | 3.78769i | 1.82826 | − | 0.388609i | |||||
0 | 0 | |||||||||
−1.05273 | − | 10.0160i | −0.106888 | − | 1.01697i | −0.908146 | − | 0.418654i | ||
0.801257 | − | 0.598320i | ||||||||
−0.282300 | −0.0285166 | |||||||||
0 | 0 | |||||||||
−4.13581 | −0.413581 | |||||||||
2.00110 | + | 19.0392i | 0.199117 | + | 1.89447i | 0.402580 | + | 0.915385i | ||
−0.203464 | + | 0.979082i | ||||||||
0 | 0 | |||||||||
3.03862 | − | 0.645879i | 0.299404 | − | 0.0636404i | −0.0557601 | − | 0.998444i | ||
0.355164 | + | 0.934804i | ||||||||
0.559258 | − | 5.32098i | 0.0548397 | − | 0.521765i | |||||
0 | 0 | |||||||||
1.33549 | + | 1.48321i | 0.129714 | + | 0.144062i | |||||
−3.05389 | − | 9.39890i | −0.295231 | − | 0.908626i | −0.983144 | − | 0.182833i | ||
0.687913 | − | 0.725793i | ||||||||
0 | 0 | |||||||||
18.0851 | 1.73224 | 0.866121 | − | 0.499834i | ||||||
0.866121 | + | 0.499834i | ||||||||
−3.18014 | − | 0.546729i | −0.303214 | − | 0.0521286i | |||||
0 | 0 | |||||||||
−7.35924 | − | 3.27654i | −0.695383 | − | 0.309604i | |||||
−3.39913 | + | 3.77511i | −0.319763 | + | 0.355133i | −0.881501 | − | 0.472183i | ||
0.561738 | + | 0.827315i | ||||||||
0 | 0 | |||||||||
−16.5599 | + | 7.37293i | −1.54422 | + | 0.687529i | |||||
−11.2249 | − | 8.15539i | −1.04221 | − | 0.757209i | |||||
0 | 0 | |||||||||
0.943595 | + | 2.90409i | 0.0868650 | + | 0.267343i | |||||
0.293180 | + | 2.78942i | 0.0268758 | + | 0.255706i | |||||
0 | 0 | |||||||||
10.3684 | + | 3.67366i | 0.942584 | + | 0.333969i | |||||
−0.311870 | − | 0.540174i | −0.0282354 | − | 0.0489051i | |||||
0 | 0 | |||||||||
−12.2553 | − | 2.60494i | −1.10056 | − | 0.233931i | |||||
2.31293 | − | 7.11847i | 0.206875 | − | 0.636695i | |||||
0 | 0 | |||||||||
−0.674959 | − | 0.490387i | −0.0598930 | − | 0.0435148i | 0.557436 | − | 0.830220i | ||
−0.617329 | + | 0.786705i | ||||||||
−6.53383 | − | 7.25655i | −0.577514 | − | 0.641395i | |||||
0 | 0 | |||||||||
−3.39309 | − | 1.51070i | −0.297594 | − | 0.132497i | |||||
9.87633 | + | 17.1063i | 0.862899 | + | 1.49459i | 0.869118 | + | 0.494605i | ||
−0.00621860 | + | 0.999981i | ||||||||
0 | 0 | |||||||||
8.45910 | − | 14.6516i | 0.733497 | − | 1.27045i | |||||
−1.32078 | + | 0.959601i | −0.114098 | + | 0.0828969i | |||||
0 | 0 | |||||||||
−0.487022 | + | 1.49890i | −0.0417618 | + | 0.128529i | |||||
−3.62037 | + | 1.61189i | −0.309309 | + | 0.137713i | −0.555520 | − | 0.831503i | ||
0.246211 | + | 0.969216i | ||||||||
0 | 0 | |||||||||
3.33035 | − | 0.707887i | 0.282476 | − | 0.0600422i | −0.0644947 | − | 0.997918i | ||
0.346971 | + | 0.937876i | ||||||||
−8.37623 | + | 9.30275i | −0.707921 | + | 0.786226i | |||||
0 | 0 | |||||||||
2.22794 | − | 3.85890i | 0.186964 | − | 0.323832i | |||||
10.5271 | + | 7.03530i | 0.880321 | + | 0.588321i | |||||
0 | 0 | |||||||||
−16.1320 | + | 11.7206i | −1.33969 | + | 0.973343i | |||||
0.754828 | + | 0.160444i | 0.0624700 | + | 0.0132784i | |||||
0 | 0 | |||||||||
−0.0372912 | + | 0.354802i | −0.00306532 | + | 0.0291646i | |||||
−0.538739 | + | 5.12576i | −0.0441352 | + | 0.419918i | 0.950039 | + | 0.312132i | ||
−0.994174 | + | 0.107787i | ||||||||
0 | 0 | |||||||||
13.4449 | + | 2.85780i | 1.09413 | + | 0.232564i | 0.719418 | − | 0.694578i | ||
0.374710 | + | 0.927142i | ||||||||
7.69091 | − | 5.58778i | 0.623816 | − | 0.453229i | |||||
0 | 0 | |||||||||
−2.35344 | + | 1.85498i | −0.189646 | + | 0.149478i | |||||
−9.00316 | + | 15.5939i | −0.723151 | + | 1.25253i | |||||
0 | 0 | |||||||||
11.1305 | − | 12.3617i | 0.888311 | − | 0.986569i | −0.111663 | − | 0.993746i | ||
0.999974 | + | 0.00717663i | ||||||||
4.10397 | − | 0.872326i | 0.326494 | − | 0.0693985i | |||||
0 | 0 | |||||||||
−9.74784 | + | 4.34002i | −0.770634 | + | 0.343109i | |||||
−5.20197 | + | 16.0100i | −0.409973 | + | 1.26177i | |||||
0 | 0 | |||||||||
−18.4445 | + | 13.4007i | −1.44469 | + | 1.04963i | −0.457648 | + | 0.889134i | ||
−0.987037 | + | 0.160492i | ||||||||
0.594565 | − | 1.02982i | 0.0464277 | − | 0.0804152i | |||||
0 | 0 | |||||||||
0.148238 | + | 0.256756i | 0.0115055 | + | 0.0199282i | |||||
11.5103 | + | 5.12470i | 0.890691 | + | 0.396561i | 0.800478 | − | 0.599362i | ||
0.0902121 | + | 0.995923i | ||||||||
0 | 0 | |||||||||
1.05329 | + | 1.16980i | 0.0810222 | + | 0.0899843i | |||||
0.885140 | + | 0.643092i | 0.0678871 | + | 0.0493229i | |||||
0 | 0 | |||||||||
−2.73004 | + | 8.40221i | −0.208164 | + | 0.640662i | |||||
7.02306 | + | 1.49280i | 0.533954 | + | 0.113495i | 0.466994 | − | 0.884260i | ||
0.0669594 | + | 0.997756i | ||||||||
0 | 0 | |||||||||
2.75991 | + | 4.78030i | 0.208629 | + | 0.361357i | |||||
10.3828 | − | 2.63595i | 0.782635 | − | 0.198692i | |||||
0 | 0 | |||||||||
0.0537852 | + | 0.511732i | 0.00403137 | + | 0.0383559i | |||||
2.78001 | + | 8.55598i | 0.207788 | + | 0.639504i | 0.999587 | + | 0.0287236i | ||
−0.791800 | + | 0.610781i | ||||||||
0 | 0 | |||||||||
−1.51882 | − | 1.10349i | −0.112893 | − | 0.0820215i | 0.529906 | − | 0.848056i | ||
−0.642799 | + | 0.766035i | ||||||||
−3.15104 | + | 1.40294i | −0.233571 | + | 0.103992i | |||||
0 | 0 | |||||||||
−6.32940 | + | 7.02951i | −0.466610 | + | 0.518222i | |||||
0.468390 | + | 0.208541i | 0.0344367 | + | 0.0153322i | |||||
0 | 0 | |||||||||
−2.60233 | − | 2.67183i | −0.190301 | − | 0.195383i | |||||
21.1038 | 1.53915 | |||||||||
0 | 0 | |||||||||
−2.03935 | − | 6.27646i | −0.147950 | − | 0.455343i | |||||
4.28583 | + | 4.75989i | 0.310111 | + | 0.344414i | 0.877973 | − | 0.478711i | ||
−0.567861 | + | 0.823124i | ||||||||
0 | 0 | |||||||||
−0.294602 | + | 2.80295i | −0.0212059 | + | 0.201761i | −0.999995 | − | 0.00310888i | ||
0.978789 | + | 0.204870i | ||||||||
−3.56861 | + | 0.758531i | −0.256211 | + | 0.0544594i | |||||
0 | 0 | |||||||||
−0.152226 | − | 1.44833i | −0.0108733 | − | 0.103452i | |||||
−25.7193 | −1.83243 | −0.916213 | − | 0.400692i | ||||||
−0.916213 | + | 0.400692i | ||||||||
0 | 0 | |||||||||
13.3474 | 0.946174 | 0.473087 | − | 0.881016i | ||||||
0.473087 | + | 0.881016i | ||||||||
0.324209 | + | 3.08464i | 0.0229250 | + | 0.218117i | |||||
0 | 0 | |||||||||
6.78346 | − | 1.44187i | 0.477282 | − | 0.101449i | |||||
−1.93564 | + | 18.4164i | −0.135855 | + | 1.29258i | |||||
0 | 0 | |||||||||
−1.14352 | − | 1.27001i | −0.0798672 | − | 0.0887015i | |||||
−0.347751 | − | 1.07027i | −0.0242289 | − | 0.0745690i | |||||
0 | 0 | |||||||||
12.3303 | 0.854953 | |||||||||
3.22628 | + | 22.2648i | 0.223167 | + | 1.54009i | |||||
0 | 0 | |||||||||
−14.3717 | − | 6.39869i | −0.989388 | − | 0.440504i | −0.152753 | − | 0.988264i | ||
−0.836635 | + | 0.547761i | ||||||||
−6.88943 | + | 7.65148i | −0.473168 | + | 0.525506i | |||||
0 | 0 | |||||||||
−3.27050 | + | 1.45612i | −0.223567 | + | 0.0995384i | |||||
10.2719 | + | 7.46296i | 0.700536 | + | 0.508969i | |||||
0 | 0 | |||||||||
5.16732 | + | 15.9034i | 0.350781 | + | 1.07959i | |||||
−0.684809 | − | 6.51553i | −0.0463811 | − | 0.441287i | |||||
0 | 0 | |||||||||
1.09014 | − | 16.6104i | 0.0734972 | − | 1.11987i | |||||
−2.14655 | − | 3.71793i | −0.144392 | − | 0.250095i | |||||
0 | 0 | |||||||||
18.4700 | + | 3.92592i | 1.23684 | + | 0.262899i | 0.779506 | − | 0.626394i | ||
0.457337 | + | 0.889293i | ||||||||
−3.06210 | + | 9.42417i | −0.204595 | + | 0.629679i | |||||
0 | 0 | |||||||||
1.48877 | + | 1.08165i | 0.0990314 | + | 0.0719505i | |||||
0.722287 | + | 0.802181i | 0.0479399 | + | 0.0532426i | 0.766638 | − | 0.642080i | ||
−0.718698 | + | 0.695322i | ||||||||
0 | 0 | |||||||||
−11.2023 | − | 4.98760i | −0.740272 | − | 0.329590i | 0.00172076 | − | 0.999999i | ||
−0.741992 | + | 0.670408i | ||||||||
3.28330 | + | 5.68684i | 0.216494 | + | 0.374979i | |||||
0 | 0 | |||||||||
−5.20267 | + | 9.01128i | −0.341572 | + | 0.591620i | |||||
12.1863 | − | 8.85388i | 0.798353 | − | 0.580037i | −0.112078 | − | 0.993699i | ||
0.910430 | + | 0.413662i | ||||||||
0 | 0 | |||||||||
9.37235 | − | 28.8451i | 0.611385 | − | 1.88165i | |||||
−14.3905 | + | 6.40707i | −0.936743 | + | 0.417065i | |||||
0 | 0 | |||||||||
0.993842 | − | 0.211248i | 0.0644212 | − | 0.0136931i | |||||
−9.63117 | + | 10.6965i | −0.622988 | + | 0.691899i | −0.969205 | − | 0.246256i | ||
0.346216 | + | 0.938155i | ||||||||
0 | 0 | |||||||||
6.01413 | − | 10.4168i | 0.387404 | − | 0.671004i | −0.604695 | − | 0.796457i | ||
0.992100 | + | 0.125453i | ||||||||
0.930898 | − | 3.87453i | 0.0598404 | − | 0.249064i | |||||
0 | 0 | |||||||||
2.60318 | − | 1.89132i | 0.166651 | − | 0.121079i | |||||
−2.04722 | − | 0.435150i | −0.130792 | − | 0.0278007i | |||||
0 | 0 | |||||||||
−2.70682 | + | 25.7537i | −0.172231 | + | 1.63867i | |||||
−0.982164 | + | 9.34467i | −0.0623675 | + | 0.593387i | |||||
0 | 0 | |||||||||
−2.65215 | − | 0.563732i | −0.167737 | − | 0.0356535i | |||||
−11.5075 | + | 8.36069i | −0.726347 | + | 0.527722i | −0.888406 | − | 0.459059i | ||
0.162058 | + | 0.986781i | ||||||||
0 | 0 | |||||||||
−7.74611 | − | 21.0023i | −0.486994 | − | 1.32040i | |||||
−0.151113 | + | 0.261736i | −0.00948170 | + | 0.0164228i | |||||
0 | 0 | |||||||||
4.35180 | − | 4.83317i | 0.271988 | − | 0.302073i | |||||
10.6299 | − | 2.25945i | 0.663073 | − | 0.140941i | 0.135932 | − | 0.990718i | ||
0.527141 | + | 0.849778i | ||||||||
0 | 0 | |||||||||
0.434977 | − | 0.193664i | 0.0270281 | − | 0.0120337i | |||||
5.92095 | − | 18.2228i | 0.367202 | − | 1.13013i | |||||
0 | 0 | |||||||||
5.78891 | − | 4.20589i | 0.357640 | − | 0.259841i | |||||
1.29031 | − | 2.23489i | 0.0795640 | − | 0.137809i | −0.823498 | − | 0.567319i | ||
0.903062 | + | 0.429510i | ||||||||
0 | 0 | |||||||||
7.39856 | + | 12.8147i | 0.454490 | + | 0.787200i | |||||
−5.59883 | − | 2.49276i | −0.343286 | − | 0.152841i | |||||
0 | 0 | |||||||||
−5.63542 | − | 6.25876i | −0.344238 | − | 0.382315i | |||||
4.58187 | + | 3.32892i | 0.279361 | + | 0.202968i | 0.718639 | − | 0.695383i | ||
−0.439277 | + | 0.898351i | ||||||||
0 | 0 | |||||||||
0.742616 | − | 2.28554i | 0.0451107 | − | 0.138836i | −0.925964 | − | 0.377611i | ||
0.971075 | + | 0.238775i | ||||||||
−3.55277 | − | 0.755164i | −0.215418 | − | 0.0457885i | |||||
0 | 0 | |||||||||
0.717804 | + | 1.24327i | 0.0433641 | + | 0.0751088i | |||||
−6.81730 | − | 2.72051i | −0.411099 | − | 0.164053i | |||||
0 | 0 | |||||||||
−0.272826 | − | 2.59577i | −0.0163925 | − | 0.155965i | 0.983264 | − | 0.182189i | ||
−0.999656 | + | 0.0262243i | ||||||||
−0.381136 | − | 1.17302i | −0.0228590 | − | 0.0703529i | |||||
0 | 0 | |||||||||
7.59496 | + | 5.51806i | 0.453886 | + | 0.329767i | |||||
−8.09216 | + | 3.60286i | −0.482738 | + | 0.214929i | −0.633652 | − | 0.773618i | ||
0.150914 | + | 0.988547i | ||||||||
0 | 0 | |||||||||
−9.04049 | + | 10.0405i | −0.537401 | + | 0.596845i | −0.949295 | − | 0.314387i | ||
0.411893 | + | 0.911232i | ||||||||
20.9994 | + | 9.34952i | 1.24608 | + | 0.554792i | |||||
0 | 0 | |||||||||
2.13598 | − | 4.05899i | 0.126303 | − | 0.240013i | |||||
−1.58706 | −0.0936811 | |||||||||
0 | 0 | |||||||||
−4.86250 | − | 14.9652i | −0.286029 | − | 0.880308i | |||||
4.83343 | + | 5.36806i | 0.283829 | + | 0.315224i | |||||
0 | 0 | |||||||||
−0.416123 | + | 3.95914i | −0.0243517 | + | 0.231691i | |||||
17.3312 | − | 3.68386i | 1.01250 | − | 0.215213i | 0.328351 | − | 0.944556i | ||
0.684149 | + | 0.729342i | ||||||||
0 | 0 | |||||||||
2.36639 | + | 22.5147i | 0.137776 | + | 1.31086i | |||||
0.267548 | 0.0155509 | |||||||||
0 | 0 | |||||||||
1.86705 | 0.108156 | |||||||||
−2.69334 | − | 25.6254i | −0.155760 | − | 1.48196i | |||||
0 | 0 | |||||||||
11.5333 | − | 2.45149i | 0.664771 | − | 0.141301i | |||||
0.520475 | − | 4.95199i | 0.0299500 | − | 0.284955i | |||||
0 | 0 | |||||||||
14.6598 | + | 16.2813i | 0.840797 | + | 0.933799i | |||||
−1.42901 | − | 4.39803i | −0.0818246 | − | 0.251830i | |||||
0 | 0 | |||||||||
11.3039 | 0.645145 | 0.322573 | − | 0.946545i | ||||||
0.322573 | + | 0.946545i | ||||||||
−10.7860 | − | 11.0740i | −0.614588 | − | 0.631001i | |||||
0 | 0 | |||||||||
5.95893 | + | 2.65309i | 0.338444 | + | 0.150685i | |||||
4.41971 | − | 4.90859i | 0.250619 | − | 0.278340i | −0.604688 | − | 0.796463i | ||
0.855307 | + | 0.518122i | ||||||||
0 | 0 | |||||||||
28.5934 | − | 12.7306i | 1.61619 | − | 0.719576i | 0.618395 | − | 0.785868i | ||
0.997800 | + | 0.0662913i | ||||||||
−4.87500 | − | 3.54190i | −0.275112 | − | 0.199881i | |||||
0 | 0 | |||||||||
6.68845 | + | 20.5849i | 0.376254 | + | 1.15799i | |||||
1.34281 | + | 12.7759i | 0.0754195 | + | 0.717569i | 0.965259 | + | 0.261295i | ||
−0.889839 | + | 0.456274i | ||||||||
0 | 0 | |||||||||
−13.1382 | − | 20.8267i | −0.735595 | − | 1.16607i | |||||
−6.74181 | − | 11.6772i | −0.376879 | − | 0.652773i | |||||
0 | 0 | |||||||||
5.96490 | + | 1.26788i | 0.332411 | + | 0.0706561i | |||||
2.35720 | − | 7.25471i | 0.131158 | − | 0.403663i | |||||
0 | 0 | |||||||||
−6.83523 | − | 4.96608i | −0.379150 | − | 0.275469i | |||||
5.52629 | + | 6.13756i | 0.306073 | + | 0.339928i | |||||
0 | 0 | |||||||||
−0.814684 | − | 0.362721i | −0.0449834 | − | 0.0200279i | |||||
−14.0830 | − | 24.3924i | −0.776420 | − | 1.34480i | |||||
0 | 0 | |||||||||
−9.58347 | + | 16.5991i | −0.526755 | + | 0.912367i | 0.472759 | + | 0.881192i | ||
−0.999514 | + | 0.0311751i | ||||||||
−1.23735 | + | 0.898985i | −0.0679082 | + | 0.0493382i | |||||
0 | 0 | |||||||||
1.41043 | − | 4.34085i | 0.0771751 | − | 0.237521i | |||||
−11.0573 | + | 4.92304i | −0.604127 | + | 0.268975i | |||||
0 | 0 | |||||||||
−31.9855 | + | 6.79873i | −1.74236 | + | 0.370350i | −0.965719 | − | 0.259591i | ||
−0.776643 | + | 0.629941i | ||||||||
0.381558 | − | 0.423763i | 0.0207540 | − | 0.0230497i | |||||
0 | 0 | |||||||||
−2.82207 | + | 4.88796i | −0.153048 | + | 0.265087i | |||||
−18.4876 | − | 12.3553i | −1.00116 | − | 0.669079i | |||||
0 | 0 | |||||||||
−15.6970 | + | 11.4046i | −0.847560 | + | 0.615788i | |||||
6.48069 | + | 1.37751i | 0.349416 | + | 0.0742706i | |||||
0 | 0 | |||||||||
0.271875 | − | 2.58672i | 0.0146161 | − | 0.139063i | |||||
1.14779 | − | 10.9205i | 0.0616165 | − | 0.586242i | −0.919536 | − | 0.393006i | ||
0.981152 | − | 0.193236i | ||||||||
0 | 0 | |||||||||
−23.1824 | − | 4.92757i | −1.24093 | − | 0.263767i | −0.459733 | − | 0.888057i | ||
−0.781192 | + | 0.624290i | ||||||||
1.61769 | − | 1.17532i | 0.0864691 | − | 0.0628235i | |||||
0 | 0 | |||||||||
−4.55968 | − | 12.3628i | −0.243032 | − | 0.658942i | |||||
14.7938 | − | 25.6236i | 0.787394 | − | 1.36381i | −0.140165 | − | 0.990128i | ||
0.927559 | − | 0.373678i | ||||||||
0 | 0 | |||||||||
22.1051 | − | 24.5502i | 1.17322 | − | 1.30299i | |||||
−2.59642 | + | 0.551887i | −0.137610 | + | 0.0292499i | |||||
0 | 0 | |||||||||
2.97719 | − | 1.32553i | 0.157350 | − | 0.0700565i | |||||
−8.83869 | + | 27.2027i | −0.466488 | + | 1.43570i | 0.390614 | + | 0.920555i | ||
−0.857102 | + | 0.515148i | ||||||||
0 | 0 | |||||||||
−21.8529 | + | 15.8771i | −1.15015 | + | 0.835635i | |||||
−0.340041 | + | 0.588968i | −0.0178722 | + | 0.0309555i | |||||
0 | 0 | |||||||||
−8.89687 | − | 15.4098i | −0.466323 | − | 0.807695i | |||||
5.22664 | + | 2.32705i | 0.273575 | + | 0.121803i | |||||
0 | 0 | |||||||||
−2.39541 | − | 2.66037i | −0.125039 | − | 0.138870i | 0.677374 | − | 0.735639i | ||
−0.802414 | + | 0.596768i | ||||||||
−17.6362 | − | 12.8135i | −0.919352 | − | 0.667948i | |||||
0 | 0 | |||||||||
0.0573948 | − | 0.176643i | 0.00298382 | − | 0.00918324i | |||||
13.4413 | + | 2.85703i | 0.697836 | + | 0.148330i | |||||
0 | 0 | |||||||||
18.4968 | + | 32.0373i | 0.957726 | + | 1.65883i | 0.728004 | + | 0.685573i | ||
0.229722 | + | 0.973256i | ||||||||
−0.864039 | + | 1.03871i | −0.0446784 | + | 0.0537105i | |||||
0 | 0 | |||||||||
−1.65434 | − | 15.7400i | −0.0853162 | − | 0.811730i | |||||
−8.75877 | − | 26.9567i | −0.451100 | − | 1.38834i | |||||
0 | 0 | |||||||||
19.4747 | + | 14.1492i | 1.00035 | + | 0.726796i | 0.962163 | − | 0.272474i | ||
0.0381863 | + | 0.999271i | ||||||||
31.1015 | − | 13.8473i | 1.59548 | − | 0.710352i | |||||
0 | 0 | |||||||||
1.55256 | − | 1.72429i | 0.0794357 | − | 0.0882223i | |||||
−31.9916 | − | 14.2436i | −1.63469 | − | 0.727812i | −0.635667 | − | 0.771963i | ||
−0.999025 | + | 0.0441515i | ||||||||
0 | 0 | |||||||||
−19.9263 | + | 9.82444i | −1.01554 | + | 0.500700i | |||||
1.02097 | 0.0519662 | |||||||||
0 | 0 | |||||||||
−5.81594 | − | 17.8996i | −0.295260 | − | 0.908716i | |||||
2.74982 | + | 3.05399i | 0.139422 | + | 0.154843i | 0.808812 | − | 0.588068i | ||
−0.669390 | + | 0.742911i | ||||||||
0 | 0 | |||||||||
−0.793377 | + | 7.54848i | −0.0401228 | + | 0.381743i | |||||
−1.06829 | + | 0.227072i | −0.0539568 | + | 0.0114689i | |||||
0 | 0 | |||||||||
0.973884 | + | 9.26589i | 0.0490636 | + | 0.466809i | |||||
31.1063 | 1.56513 | |||||||||
0 | 0 | |||||||||
−23.0629 | −1.15749 | −0.578747 | − | 0.815507i | ||||||
−0.578747 | + | 0.815507i | ||||||||
−0.505412 | − | 4.80867i | −0.0253340 | − | 0.241037i | |||||
0 | 0 | |||||||||
−6.99184 | + | 1.48616i | −0.349592 | + | 0.0743081i | |||||
0.392024 | − | 3.72986i | 0.0195768 | − | 0.186260i | −0.980363 | − | 0.197199i | ||
0.999940 | + | 0.0109389i | ||||||||
0 | 0 | |||||||||
−17.1264 | − | 19.0208i | −0.853125 | − | 0.947492i | |||||
11.0553 | + | 34.0248i | 0.550024 | + | 1.69280i | |||||
0 | 0 | |||||||||
6.70815 | 0.332920 | |||||||||
−0.294856 | + | 0.560312i | −0.0146155 | + | 0.0277736i | |||||
0 | 0 | |||||||||
−25.0719 | − | 11.1627i | −1.23972 | − | 0.551960i | −0.321081 | − | 0.947052i | ||
−0.918642 | + | 0.395091i | ||||||||
−0.414246 | + | 0.460067i | −0.0204582 | + | 0.0227211i | |||||
0 | 0 | |||||||||
5.30345 | − | 2.36125i | 0.261282 | − | 0.116330i | |||||
17.0086 | + | 12.3574i | 0.836937 | + | 0.608070i | |||||
0 | 0 | |||||||||
0.679237 | + | 2.09048i | 0.0333424 | + | 0.102617i | |||||
−1.58541 | − | 15.0842i | −0.0777313 | − | 0.739564i | |||||
0 | 0 | |||||||||
7.89915 | − | 2.00540i | 0.386360 | − | 0.0980876i | |||||
10.7023 | + | 18.5369i | 0.522840 | + | 0.905586i | 0.999647 | + | 0.0265777i | ||
−0.476806 | + | 0.879008i | ||||||||
0 | 0 | |||||||||
−10.6840 | − | 2.27096i | −0.520708 | − | 0.110680i | −0.0599425 | − | 0.998202i | ||
−0.460765 | + | 0.887522i | ||||||||
−1.76106 | + | 5.41997i | −0.0857269 | + | 0.263840i | |||||
0 | 0 | |||||||||
6.24683 | + | 4.53859i | 0.303373 | + | 0.220413i | |||||
1.66531 | + | 1.84951i | 0.0807793 | + | 0.0897145i | |||||
0 | 0 | |||||||||
−3.92320 | − | 1.74672i | −0.189857 | − | 0.0845297i | |||||
−9.23416 | − | 15.9940i | −0.446350 | − | 0.773101i | |||||
0 | 0 | |||||||||
2.29972 | − | 3.98324i | 0.110902 | − | 0.192089i | |||||
9.56381 | − | 6.94852i | 0.460673 | − | 0.334698i | −0.333122 | − | 0.942884i | ||
0.793795 | + | 0.608185i | ||||||||
0 | 0 | |||||||||
−7.50566 | + | 23.1000i | −0.360699 | + | 1.11012i | 0.591932 | + | 0.805988i | ||
−0.952631 | + | 0.304129i | ||||||||
5.53384 | − | 2.46382i | 0.265633 | − | 0.118267i | |||||
0 | 0 | |||||||||
33.0585 | − | 7.02679i | 1.58321 | − | 0.336522i | |||||
30.6345 | − | 34.0230i | 1.46545 | − | 1.62754i | |||||
0 | 0 | |||||||||
9.28957 | − | 16.0900i | 0.443367 | − | 0.767934i | −0.554570 | − | 0.832137i | ||
0.997937 | + | 0.0642030i | ||||||||
−12.4741 | + | 0.489035i | −0.594681 | + | 0.0233139i | |||||
0 | 0 | |||||||||
−1.25818 | + | 0.914119i | −0.0598453 | + | 0.0434802i | |||||
−19.3148 | − | 4.10548i | −0.917672 | − | 0.195057i | −0.275218 | − | 0.961382i | ||
−0.642454 | + | 0.766325i | ||||||||
0 | 0 | |||||||||
−0.398759 | + | 3.79394i | −0.0189030 | + | 0.179850i | |||||
0.715007 | − | 6.80284i | 0.0338566 | − | 0.322124i | |||||
0 | 0 | |||||||||
−12.2481 | − | 2.60342i | −0.578669 | − | 0.123000i | |||||
−1.68475 | + | 1.22404i | −0.0795083 | + | 0.0577662i | −0.626829 | − | 0.779157i | ||
0.547321 | + | 0.836923i | ||||||||
0 | 0 | |||||||||
1.65746 | − | 1.30641i | 0.0780468 | − | 0.0615163i | |||||
−4.74660 | + | 8.22135i | −0.223261 | + | 0.386700i | |||||
0 | 0 | |||||||||
0.261651 | − | 0.290593i | 0.0122799 | − | 0.0136382i | |||||
−25.0136 | + | 5.31681i | −1.17266 | + | 0.249256i | |||||
0 | 0 | |||||||||
−7.57135 | + | 3.37098i | −0.354173 | + | 0.157688i | −0.576108 | − | 0.817373i | ||
0.221935 | + | 0.975061i | ||||||||
−1.37270 | + | 4.22472i | −0.0641418 | + | 0.197408i | |||||
0 | 0 | |||||||||
−27.4057 | + | 19.9114i | −1.27780 | + | 0.928374i | |||||
3.27711 | − | 5.67613i | 0.152630 | − | 0.264364i | −0.779563 | − | 0.626324i | ||
0.932194 | + | 0.361960i | ||||||||
0 | 0 | |||||||||
−0.136703 | − | 0.236776i | −0.00635310 | − | 0.0110039i | 0.862831 | − | 0.505492i | ||
−0.869184 | + | 0.494488i | ||||||||
−21.9070 | − | 9.75362i | −1.01701 | − | 0.452800i | |||||
0 | 0 | |||||||||
−3.65123 | − | 4.05510i | −0.169140 | − | 0.187849i | |||||
−6.19971 | − | 4.50435i | −0.286888 | − | 0.208437i | 0.435028 | − | 0.900417i | ||
−0.721916 | + | 0.691980i | ||||||||
0 | 0 | |||||||||
−3.47345 | + | 10.6902i | −0.160389 | + | 0.493627i | |||||
−10.7469 | − | 2.28433i | −0.495718 | − | 0.105368i | |||||
0 | 0 | |||||||||
5.90672 | + | 10.2307i | 0.271879 | + | 0.470908i | |||||
−10.0270 | + | 12.0541i | −0.461042 | + | 0.554246i | |||||
0 | 0 | |||||||||
−1.56918 | − | 14.9298i | −0.0719989 | − | 0.685024i | |||||
1.61971 | + | 4.98497i | 0.0742395 | + | 0.228486i | |||||
0 | 0 | |||||||||
4.21831 | + | 3.06478i | 0.192941 | + | 0.140180i | |||||
21.2009 | − | 9.43926i | 0.968695 | − | 0.431291i | 0.139482 | − | 0.990225i | ||
0.829212 | + | 0.558934i | ||||||||
0 | 0 | |||||||||
−0.487661 | + | 0.541602i | −0.0222354 | + | 0.0246949i | |||||
−3.98058 | − | 1.77227i | −0.181310 | − | 0.0807246i | |||||
0 | 0 | |||||||||
20.3802 | + | 2.68667i | 0.926371 | + | 0.122121i | |||||
−27.0485 | −1.22821 | |||||||||
0 | 0 | |||||||||
−7.44592 | − | 22.9162i | −0.337407 | − | 1.03843i | −0.965524 | − | 0.260313i | ||
0.628117 | − | 0.778119i | ||||||||
−1.61468 | − | 1.79329i | −0.0730932 | − | 0.0811783i | |||||
0 | 0 | |||||||||
−0.0792515 | + | 0.754028i | −0.00358022 | + | 0.0340635i | |||||
−34.3994 | + | 7.31181i | −1.55242 | + | 0.329977i | −0.902725 | − | 0.430217i | ||
−0.649696 | + | 0.760194i | ||||||||
0 | 0 | |||||||||
0.872738 | + | 8.30354i | 0.0393061 | + | 0.373973i | |||||
9.38077 | 0.422061 | |||||||||
0 | 0 | |||||||||
−21.6544 | −0.972311 | |||||||||
−3.20682 | − | 30.5108i | −0.143845 | − | 1.36860i | |||||
0 | 0 | |||||||||
22.2539 | − | 4.73022i | 0.996222 | − | 0.211754i | 0.319177 | − | 0.947695i | ||
0.677045 | + | 0.735941i | ||||||||
1.46208 | − | 13.9108i | 0.0653862 | − | 0.622108i | |||||
0 | 0 | |||||||||
3.44784 | + | 3.82922i | 0.153885 | + | 0.170906i | |||||
1.55585 | + | 4.78840i | 0.0693718 | + | 0.213504i | 0.979732 | − | 0.200312i | ||
−0.910360 | + | 0.413816i | ||||||||
0 | 0 | |||||||||
51.4156 | 2.28796 | |||||||||
−7.27318 | + | 3.58596i | −0.323332 | + | 0.159415i | |||||
0 | 0 | |||||||||
−1.42432 | − | 0.634146i | −0.0631938 | − | 0.0281357i | |||||
−6.22700 | + | 6.91578i | −0.276007 | + | 0.306537i | −0.865171 | − | 0.501476i | ||
0.589164 | + | 0.808013i | ||||||||
0 | 0 | |||||||||
4.85379 | − | 2.16105i | 0.214719 | − | 0.0955990i | |||||
−17.7056 | − | 12.8639i | −0.782483 | − | 0.568507i | |||||
0 | 0 | |||||||||
−1.21652 | − | 3.74406i | −0.0536584 | − | 0.165144i | |||||
−0.872104 | − | 8.29752i | −0.0384295 | − | 0.365632i | |||||
0 | 0 | |||||||||
34.7867 | + | 13.8819i | 1.52992 | + | 0.610527i | |||||
−0.0862420 | − | 0.149376i | −0.00378926 | − | 0.00656319i | |||||
0 | 0 | |||||||||
−14.0554 | − | 2.98757i | −0.616370 | − | 0.131014i | |||||
−3.41257 | + | 10.5028i | −0.149507 | + | 0.460136i | −0.997563 | − | 0.0697708i | ||
0.848056 | + | 0.529907i | ||||||||
0 | 0 | |||||||||
15.7075 | + | 11.4122i | 0.686841 | + | 0.499019i | 0.875620 | − | 0.483001i | ||
−0.188779 | + | 0.982020i | ||||||||
24.6998 | + | 27.4319i | 1.07901 | + | 1.19837i | |||||
0 | 0 | |||||||||
−0.854020 | − | 0.380234i | −0.0372370 | − | 0.0165790i | |||||
3.76975 | + | 6.52940i | 0.164213 | + | 0.284425i | |||||
0 | 0 | |||||||||
−11.2772 | + | 19.5327i | −0.490314 | + | 0.849249i | |||||
4.33659 | − | 3.15071i | 0.188369 | − | 0.136858i | |||||
0 | 0 | |||||||||
9.76996 | − | 30.0688i | 0.423581 | − | 1.30365i | |||||
2.21919 | − | 0.988046i | 0.0961237 | − | 0.0427970i | |||||
0 | 0 | |||||||||
−25.9619 | + | 5.51838i | −1.12243 | + | 0.238580i | |||||
−4.22626 | + | 4.69374i | −0.182547 | + | 0.202738i | |||||
0 | 0 | |||||||||
1.02581 | − | 1.77676i | 0.0442259 | − | 0.0766016i | |||||
0.701781 | − | 2.48751i | 0.0302278 | − | 0.107145i | |||||
0 | 0 | |||||||||
17.0772 | − | 12.4073i | 0.734205 | − | 0.533431i | −0.156686 | − | 0.987649i | ||
0.890891 | + | 0.454217i | ||||||||
−0.851529 | − | 0.180998i | −0.0365763 | − | 0.00777453i | |||||
0 | 0 | |||||||||
−0.467015 | + | 4.44335i | −0.0200231 | + | 0.190507i | |||||
5.07713 | − | 48.3056i | 0.217480 | − | 2.06919i | |||||
0 | 0 | |||||||||
13.7372 | + | 2.91993i | 0.587360 | + | 0.124847i | 0.491999 | − | 0.870596i | ||
0.0953606 | + | 0.995443i | ||||||||
−5.99151 | + | 4.35309i | −0.255945 | + | 0.185955i | |||||
0 | 0 | |||||||||
−0.721973 | + | 2.55908i | −0.0307850 | + | 0.109120i | |||||
25.1810 | − | 43.6148i | 1.07275 | − | 1.85805i | |||||
0 | 0 | |||||||||
19.3294 | − | 21.4674i | 0.821968 | − | 0.912888i | |||||
−0.924846 | + | 0.196582i | −0.0392929 | + | 0.00835197i | |||||
0 | 0 | |||||||||
5.81261 | − | 2.58794i | 0.246510 | − | 0.109753i | |||||
12.8094 | − | 39.4233i | 0.542752 | − | 1.67042i | −0.183524 | − | 0.983015i | ||
0.726276 | − | 0.687403i | ||||||||
0 | 0 | |||||||||
−14.6009 | + | 10.6082i | −0.617552 | + | 0.448678i | |||||
−10.8177 | + | 18.7368i | −0.457131 | + | 0.791773i | |||||
0 | 0 | |||||||||
1.60442 | + | 2.77893i | 0.0676783 | + | 0.117222i | |||||
6.80544 | + | 3.02998i | 0.286815 | + | 0.127698i | 0.545101 | − | 0.838370i | ||
−0.258286 | + | 0.966068i | ||||||||
0 | 0 | |||||||||
9.12911 | + | 10.1389i | 0.384065 | + | 0.426547i | |||||
3.95961 | + | 2.87682i | 0.166435 | + | 0.120922i | |||||
0 | 0 | |||||||||
5.32707 | − | 16.3950i | 0.223519 | − | 0.687920i | |||||
−23.8888 | − | 5.07772i | −1.00147 | − | 0.212869i | −0.322133 | − | 0.946694i | ||
−0.679338 | + | 0.733825i | ||||||||
0 | 0 | |||||||||
6.40805 | + | 11.0991i | 0.268169 | + | 0.464482i | 0.968389 | − | 0.249445i | ||
−0.700220 | + | 0.713927i | ||||||||
21.9763 | + | 8.76987i | 0.918877 | + | 0.366687i | |||||
0 | 0 | |||||||||
0.0600953 | + | 0.571769i | 0.00250833 | + | 0.0238652i | |||||
4.61585 | + | 14.2061i | 0.192494 | + | 0.592437i | |||||
0 | 0 | |||||||||
11.7428 | + | 8.53166i | 0.488860 | + | 0.355178i | 0.804746 | − | 0.593620i | ||
−0.315886 | + | 0.948797i | ||||||||
−5.20740 | + | 2.31848i | −0.216599 | + | 0.0964362i | |||||
0 | 0 | |||||||||
−24.9344 | + | 27.6924i | −1.03534 | + | 1.14987i | |||||
1.86478 | + | 0.830253i | 0.0773641 | + | 0.0344447i | |||||
0 | 0 | |||||||||
−16.3893 | + | 8.08057i | −0.678777 | + | 0.334663i | |||||
2.98550 | 0.123541 | |||||||||
0 | 0 | |||||||||
−1.98344 | − | 6.10441i | −0.0819353 | − | 0.252171i | |||||
14.9988 | + | 16.6579i | 0.619069 | + | 0.687545i | 0.968385 | − | 0.249459i | ||
−0.349317 | + | 0.937005i | ||||||||
0 | 0 | |||||||||
4.75370 | − | 45.2284i | 0.195873 | − | 1.86361i | |||||
8.02175 | − | 1.70508i | 0.330250 | − | 0.0701969i | |||||
0 | 0 | |||||||||
0.0644515 | + | 0.613215i | 0.00264894 | + | 0.0252030i | |||||
−18.2533 | −0.749572 | −0.374786 | − | 0.927111i | ||||||
−0.374786 | + | 0.927111i | ||||||||
0 | 0 | |||||||||
7.53288 | 0.308818 | |||||||||
1.00678 | + | 9.57887i | 0.0412393 | + | 0.392366i | |||||
0 | 0 | |||||||||
−9.13007 | + | 1.94066i | −0.373356 | + | 0.0793593i | |||||
−2.76195 | + | 26.2782i | −0.112850 | + | 1.07370i | 0.780753 | + | 0.624840i | ||
−0.893603 | + | 0.448859i | ||||||||
0 | 0 | |||||||||
9.25098 | + | 10.2743i | 0.377355 | + | 0.419096i | 0.901667 | − | 0.432431i | ||
−0.524312 | + | 0.851526i | ||||||||
−1.31992 | − | 4.06228i | −0.0537958 | − | 0.165566i | |||||
0 | 0 | |||||||||
25.6867 | 1.04518 | |||||||||
12.7232 | − | 26.6629i | 0.517270 | − | 1.08400i | |||||
0 | 0 | |||||||||
−13.3213 | − | 5.93104i | −0.540696 | − | 0.240733i | 0.118170 | − | 0.992993i | ||
−0.658866 | + | 0.752260i | ||||||||
18.0327 | − | 20.0274i | 0.731324 | − | 0.812218i | |||||
0 | 0 | |||||||||
−1.53036 | + | 0.681362i | −0.0619626 | + | 0.0275875i | |||||
34.8782 | + | 25.3405i | 1.41102 | + | 1.02517i | |||||
0 | 0 | |||||||||
−9.31252 | − | 28.6610i | −0.376129 | − | 1.15761i | −0.942714 | − | 0.333603i | ||
0.566585 | − | 0.824004i | ||||||||
−0.428030 | − | 4.07244i | −0.0172739 | − | 0.164350i | |||||
0 | 0 | |||||||||
−7.41390 | + | 8.91269i | −0.298715 | + | 0.359102i | |||||
−9.84784 | − | 17.0570i | −0.396459 | − | 0.686687i | 0.596827 | − | 0.802370i | ||
−0.993286 | + | 0.115683i | ||||||||
0 | 0 | |||||||||
−1.26485 | − | 0.268852i | −0.0508387 | − | 0.0108061i | 0.182422 | − | 0.983220i | ||
−0.233261 | + | 0.972414i | ||||||||
−10.3983 | + | 32.0028i | −0.417607 | + | 1.28526i | |||||
0 | 0 | |||||||||
−1.93577 | − | 1.40642i | −0.0776173 | − | 0.0563923i | |||||
2.37053 | + | 2.63274i | 0.0949733 | + | 0.105479i | |||||
0 | 0 | |||||||||
−28.4731 | − | 12.6770i | −1.13892 | − | 0.507082i | |||||
−5.66916 | − | 9.81928i | −0.226585 | − | 0.392457i | |||||
0 | 0 | |||||||||
15.5428 | − | 26.9210i | 0.620227 | − | 1.07426i | |||||
0.173681 | − | 0.126187i | 0.00692513 | − | 0.00503140i | |||||
0 | 0 | |||||||||
13.6277 | − | 41.9417i | 0.542509 | − | 1.66967i | −0.184330 | − | 0.982864i | ||
0.726839 | − | 0.686808i | ||||||||
14.8287 | − | 6.60216i | 0.589854 | − | 0.262620i | |||||
0 | 0 | |||||||||
4.55194 | − | 0.967544i | 0.180781 | − | 0.0384261i | |||||
−1.49931 | + | 1.66516i | −0.0594984 | + | 0.0660797i | |||||
0 | 0 | |||||||||
1.48751 | − | 2.57644i | 0.0589372 | − | 0.102082i | |||||
−7.00573 | + | 5.52190i | −0.277360 | + | 0.218614i | |||||
0 | 0 | |||||||||
−21.2166 | + | 15.4148i | −0.838660 | + | 0.609322i | |||||
−26.4042 | − | 5.61239i | −1.04290 | − | 0.221676i | −0.345548 | − | 0.938401i | ||
−0.697356 | + | 0.716725i | ||||||||
0 | 0 | |||||||||
1.06164 | − | 10.1009i | 0.0418671 | − | 0.398339i | −0.953441 | − | 0.301580i | ||
0.995308 | − | 0.0967587i | ||||||||
−3.28834 | + | 31.2864i | −0.129579 | + | 1.23286i | |||||
0 | 0 | |||||||||
−2.70291 | − | 0.574521i | −0.106344 | − | 0.0226042i | |||||
27.2093 | − | 19.7687i | 1.06971 | − | 0.777189i | 0.0938493 | − | 0.995586i | ||
0.975860 | + | 0.218397i | ||||||||
0 | 0 | |||||||||
−27.9353 | + | 1.09517i | −1.09656 | + | 0.0429893i | |||||
−1.53031 | + | 2.65057i | −0.0600236 | + | 0.103964i | |||||
0 | 0 | |||||||||
−28.5086 | + | 31.6621i | −1.11648 | + | 1.23998i | |||||
11.0802 | − | 2.35516i | 0.433600 | − | 0.0921645i | 0.0140596 | − | 0.999901i | ||
0.419540 | + | 0.907737i | ||||||||
0 | 0 | |||||||||
48.4638 | − | 21.5775i | 1.89364 | − | 0.843102i | |||||
0.635094 | − | 1.95462i | 0.0247963 | − | 0.0763150i | |||||
0 | 0 | |||||||||
−8.25459 | + | 5.99731i | −0.321797 | + | 0.233800i | |||||
−16.1903 | + | 28.0424i | −0.630684 | + | 1.09238i | 0.356729 | + | 0.934208i | ||
−0.987412 | + | 0.158168i | ||||||||
0 | 0 | |||||||||
−1.57119 | − | 2.72139i | −0.0611123 | − | 0.105850i | 0.833851 | − | 0.551990i | ||
−0.894963 | + | 0.446141i | ||||||||
6.34302 | + | 2.82410i | 0.246529 | + | 0.109762i | |||||
0 | 0 | |||||||||
0.767493 | + | 0.852388i | 0.0297845 | + | 0.0330791i | |||||
−36.7598 | − | 26.7076i | −1.42548 | − | 1.03567i | |||||
0 | 0 | |||||||||
−15.4852 | + | 47.6586i | −0.599590 | + | 1.84535i | |||||
23.0312 | + | 4.89542i | 0.891102 | + | 0.189410i | |||||
0 | 0 | |||||||||
2.19232 | + | 3.79721i | 0.0846966 | + | 0.146699i | |||||
5.53507 | − | 1.40522i | 0.213679 | − | 0.0542480i | |||||
0 | 0 | |||||||||
4.04197 | + | 38.4567i | 0.155806 | + | 1.48240i | 0.741000 | + | 0.671505i | ||
−0.585194 | + | 0.810894i | ||||||||
3.66053 | + | 11.2660i | 0.140998 | + | 0.433949i | |||||
0 | 0 | |||||||||
2.37986 | + | 1.72907i | 0.0915329 | + | 0.0665025i | |||||
−41.7683 | + | 18.5964i | −1.60528 | + | 0.714719i | −0.996882 | − | 0.0789093i | ||
−0.608403 | + | 0.793628i | ||||||||
0 | 0 | |||||||||
−16.8079 | + | 18.6670i | −0.645027 | + | 0.716375i | |||||
3.86685 | + | 1.72163i | 0.148287 | + | 0.0660216i | |||||
0 | 0 | |||||||||
−3.75120 | + | 7.12837i | −0.143641 | + | 0.272959i | |||||
−11.3550 | −0.434485 | −0.217243 | − | 0.976118i | ||||||
−0.217243 | + | 0.976118i | ||||||||
0 | 0 | |||||||||
3.28902 | + | 10.1226i | 0.125667 | + | 0.386763i | |||||
4.70310 | + | 5.22332i | 0.179565 | + | 0.199427i | |||||
0 | 0 | |||||||||
−1.59606 | + | 15.1855i | −0.0608491 | + | 0.578940i | |||||
−20.5736 | + | 4.37306i | −0.783793 | + | 0.166600i | |||||
0 | 0 | |||||||||
−0.911473 | − | 8.67209i | −0.0346741 | − | 0.329902i | −0.998084 | − | 0.0618702i | ||
0.963410 | − | 0.268032i | ||||||||
13.4177 | 0.510065 | |||||||||
0 | 0 | |||||||||
−3.97778 | −0.150994 | |||||||||
−0.955831 | − | 9.09412i | −0.0362567 | − | 0.344960i | |||||
0 | 0 | |||||||||
−0.699934 | + | 0.148775i | −0.0265119 | + | 0.00563527i | |||||
−0.897432 | + | 8.53850i | −0.0339683 | + | 0.323187i | |||||
0 | 0 | |||||||||
6.90226 | + | 7.66574i | 0.260881 | + | 0.289738i | |||||
−12.5650 | − | 38.6712i | −0.474575 | − | 1.46059i | −0.846530 | − | 0.532342i | ||
0.371954 | − | 0.928251i | ||||||||
0 | 0 | |||||||||
−1.29494 | −0.0488396 | |||||||||
14.9345 | − | 7.36328i | 0.562865 | − | 0.277514i | |||||
0 | 0 | |||||||||
−9.79158 | − | 4.35949i | −0.368511 | − | 0.164072i | |||||
31.9495 | − | 35.4835i | 1.20159 | − | 1.33450i | |||||
0 | 0 | |||||||||
−15.2948 | + | 6.80970i | −0.574410 | + | 0.255744i | −0.673318 | − | 0.739353i | ||
0.0989083 | + | 0.995097i | ||||||||
−9.68171 | − | 7.03417i | −0.363348 | − | 0.263988i | |||||
0 | 0 | |||||||||
0.615154 | + | 1.89325i | 0.0230539 | + | 0.0709525i | |||||
4.73002 | + | 45.0032i | 0.177141 | + | 1.68538i | |||||
0 | 0 | |||||||||
21.7467 | − | 26.1430i | 0.813280 | − | 0.977691i | |||||
8.40601 | + | 14.5596i | 0.314147 | + | 0.544119i | |||||
0 | 0 | |||||||||
10.1350 | + | 2.15426i | 0.378234 | + | 0.0803961i | |||||
5.99373 | − | 18.4468i | 0.223528 | − | 0.687949i | −0.774909 | − | 0.632072i | ||
0.998438 | − | 0.0558770i | ||||||||
0 | 0 | |||||||||
−6.26830 | − | 4.55419i | −0.233444 | − | 0.169607i | |||||
6.54750 | + | 7.27174i | 0.243673 | + | 0.270626i | |||||
0 | 0 | |||||||||
−3.20505 | − | 1.42698i | −0.119115 | − | 0.0530333i | |||||
8.21569 | + | 14.2300i | 0.305123 | + | 0.528488i | |||||
0 | 0 | |||||||||
−2.89216 | + | 5.00937i | −0.107264 | + | 0.185787i | −0.914661 | − | 0.404222i | ||
0.807397 | + | 0.590009i | ||||||||
−10.7958 | + | 7.84361i | −0.400119 | + | 0.290704i | |||||
0 | 0 | |||||||||
0.640454 | − | 1.97111i | 0.0237043 | − | 0.0729542i | |||||
4.85669 | − | 2.16234i | 0.179631 | − | 0.0799770i | |||||
0 | 0 | |||||||||
−22.2159 | + | 4.72214i | −0.820563 | + | 0.174416i | −0.599020 | − | 0.800734i | ||
−0.221544 | + | 0.975150i | ||||||||
−0.867748 | + | 0.963731i | −0.0320291 | + | 0.0355720i | |||||
0 | 0 | |||||||||
−13.4076 | + | 23.2227i | −0.494212 | + | 0.856000i | |||||
−5.17222 | − | 14.0236i | −0.190521 | − | 0.516567i | |||||
0 | 0 | |||||||||
9.31755 | − | 6.76960i | 0.342752 | − | 0.249024i | −0.403070 | − | 0.915169i | ||
0.745822 | + | 0.666145i | ||||||||
0.937212 | + | 0.199211i | 0.0344526 | + | 0.00732313i | |||||
0 | 0 | |||||||||
0.520336 | − | 4.95066i | 0.0191021 | − | 0.181745i | |||||
−4.49533 | + | 42.7703i | −0.164918 | + | 1.56909i | 0.528740 | + | 0.848784i | ||
−0.693658 | + | 0.720305i | ||||||||
0 | 0 | |||||||||
13.5397 | + | 2.87796i | 0.496057 | + | 0.105440i | |||||
10.8417 | − | 7.87694i | 0.396942 | − | 0.288395i | |||||
0 | 0 | |||||||||
−5.79500 | − | 3.87282i | −0.211886 | − | 0.141604i | |||||
−12.3243 | + | 21.3462i | −0.450319 | + | 0.779975i | |||||
0 | 0 | |||||||||
2.40813 | − | 2.67449i | 0.0878738 | − | 0.0975937i | −0.697604 | − | 0.716483i | ||
0.785478 | + | 0.618890i | ||||||||
35.6773 | − | 7.58344i | 1.30102 | − | 0.276540i | |||||
0 | 0 | |||||||||
−9.38003 | + | 4.17626i | −0.341600 | + | 0.152090i | |||||
11.4076 | − | 35.1091i | 0.415167 | − | 1.27775i | |||||
0 | 0 | |||||||||
12.2911 | − | 8.93000i | 0.446727 | − | 0.324566i | −0.341575 | − | 0.939855i | ||
0.788302 | + | 0.615288i | ||||||||
4.36010 | − | 7.55192i | 0.158366 | − | 0.274298i | |||||
0 | 0 | |||||||||
−12.7659 | − | 22.1112i | −0.463068 | − | 0.802058i | |||||
−14.9046 | − | 6.63596i | −0.540292 | − | 0.240553i | 0.118400 | − | 0.992966i | ||
−0.658692 | + | 0.752413i | ||||||||
0 | 0 | |||||||||
−30.1823 | − | 33.5209i | −1.09267 | − | 1.21354i | |||||
9.68362 | + | 7.03556i | 0.350341 | + | 0.254538i | |||||
0 | 0 | |||||||||
−3.92013 | + | 12.0649i | −0.141640 | + | 0.435923i | |||||
−31.4764 | − | 6.69052i | −1.13655 | − | 0.241581i | |||||
0 | 0 | |||||||||
−3.33336 | − | 5.77355i | −0.120204 | − | 0.208200i | 0.799644 | − | 0.600474i | ||
−0.919848 | + | 0.392275i | ||||||||
4.29397 | + | 6.80683i | 0.154744 | + | 0.245301i | |||||
0 | 0 | |||||||||
0.550544 | + | 5.23808i | 0.0198145 | + | 0.188523i | |||||
15.7232 | + | 48.3910i | 0.565524 | + | 1.74050i | 0.666389 | + | 0.745604i | ||
−0.100865 | + | 0.994900i | ||||||||
0 | 0 | |||||||||
12.0040 | + | 8.72140i | 0.431196 | + | 0.313282i | |||||
−12.8943 | + | 5.74092i | −0.462879 | + | 0.206087i | |||||
0 | 0 | |||||||||
0.996135 | − | 1.10632i | 0.0357132 | − | 0.0396635i | |||||
3.94309 | + | 1.75558i | 0.141276 | + | 0.0629001i | |||||
0 | 0 | |||||||||
28.4644 | + | 29.2246i | 1.01854 | + | 1.04574i | |||||
2.74953 | 0.0983229 | |||||||||
0 | 0 | |||||||||
−0.777792 | − | 2.39380i | −0.0277783 | − | 0.0854928i | |||||
−29.8935 | − | 33.2001i | −1.06694 | − | 1.18496i | |||||
0 | 0 | |||||||||
3.17288 | − | 30.1879i | 0.113101 | − | 1.07608i | −0.779862 | − | 0.625952i | ||
0.892963 | − | 0.450131i | ||||||||
−47.0132 | + | 9.99297i | −1.67478 | + | 0.355985i | |||||
0 | 0 | |||||||||
−1.17787 | − | 11.2066i | −0.0419066 | − | 0.398714i | |||||
12.6700 | 0.450493 | |||||||||
0 | 0 | |||||||||
6.57326 | 0.233423 | |||||||||
0.873297 | + | 8.30886i | 0.0309921 | + | 0.294870i | |||||
0 | 0 | |||||||||
24.3982 | − | 5.18600i | 0.864772 | − | 0.183813i | |||||
−0.415201 | + | 3.95037i | −0.0147072 | + | 0.139929i | −0.999411 | − | 0.0343048i | ||
0.984704 | + | 0.174234i | ||||||||
0 | 0 | |||||||||
−8.49758 | − | 9.43752i | −0.300623 | − | 0.333875i | |||||
2.71709 | + | 8.36233i | 0.0960635 | + | 0.295653i | |||||
0 | 0 | |||||||||
−1.35860 | −0.0479738 | |||||||||
−3.29022 | + | 6.25237i | −0.116109 | + | 0.220641i | |||||
0 | 0 | |||||||||
41.3026 | + | 18.3891i | 1.45572 | + | 0.648130i | |||||
−6.20410 | + | 6.89035i | −0.218530 | + | 0.242702i | |||||
0 | 0 | |||||||||
24.5104 | − | 10.9127i | 0.862272 | − | 0.383908i | |||||
4.26011 | + | 3.09515i | 0.149778 | + | 0.108820i | 0.660150 | − | 0.751133i | ||
−0.510373 | + | 0.859953i | ||||||||
0 | 0 | |||||||||
11.6366 | + | 35.8137i | 0.408615 | + | 1.25759i | 0.917838 | + | 0.396954i | ||
−0.509223 | + | 0.860635i | ||||||||
3.61727 | + | 34.4160i | 0.126941 | + | 1.20776i | |||||
0 | 0 | |||||||||
0.213028 | + | 0.0850109i | 0.00746663 | + | 0.00297963i | |||||
30.6155 | + | 53.0275i | 1.07241 | + | 1.85747i | |||||
0 | 0 | |||||||||
−31.3667 | − | 6.66720i | −1.09738 | − | 0.233256i | |||||
−3.07222 | + | 9.45531i | −0.107418 | + | 0.330597i | |||||
0 | 0 | |||||||||
−2.58374 | − | 1.87719i | −0.0902280 | − | 0.0655545i | |||||
−1.40616 | − | 1.56170i | −0.0490753 | − | 0.0545037i | 0.718107 | − | 0.695932i | ||
−0.767183 | + | 0.641429i | ||||||||
0 | 0 | |||||||||
−6.07498 | − | 2.70475i | −0.211760 | − | 0.0942818i | 0.298115 | − | 0.954530i | ||
−0.509876 | + | 0.860248i | ||||||||
−2.17685 | − | 3.77042i | −0.0758342 | − | 0.131349i | |||||
0 | 0 | |||||||||
3.80797 | − | 6.59559i | 0.132496 | − | 0.229490i | |||||
−17.8702 | + | 12.9834i | −0.621407 | + | 0.451479i | −0.853413 | − | 0.521236i | ||
0.232006 | + | 0.972714i | ||||||||
0 | 0 | |||||||||
1.19544 | − | 3.67920i | 0.0415195 | − | 0.127784i | −0.928148 | − | 0.372211i | ||
0.969668 | + | 0.244427i | ||||||||
0.727415 | − | 0.323866i | 0.0252489 | − | 0.0112416i | |||||
0 | 0 | |||||||||
18.7474 | − | 3.98488i | 0.649948 | − | 0.138151i | |||||
−0.586393 | + | 0.651255i | −0.0203173 | + | 0.0225647i | |||||
0 | 0 | |||||||||
16.9195 | − | 29.3054i | 0.585522 | − | 1.01415i | |||||
14.5482 | + | 39.4450i | 0.503159 | + | 1.36423i | |||||
0 | 0 | |||||||||
6.27302 | − | 4.55762i | 0.216698 | − | 0.157440i | |||||
−22.9258 | − | 4.87302i | −0.791486 | − | 0.168235i | −0.205607 | − | 0.978635i | ||
−0.585878 | + | 0.810399i | ||||||||
0 | 0 | |||||||||
−2.73068 | + | 25.9807i | −0.0941614 | + | 0.895886i | |||||
−0.413598 | + | 3.93512i | −0.0142535 | + | 0.135613i | |||||
0 | 0 | |||||||||
−28.7567 | − | 6.11242i | −0.989845 | − | 0.210398i | |||||
3.42023 | − | 2.48494i | 0.117660 | − | 0.0854847i | |||||
0 | 0 | |||||||||
−10.4947 | − | 25.3489i | −0.360604 | − | 0.870998i | |||||
−8.89751 | + | 15.4109i | −0.305542 | + | 0.529214i | |||||
0 | 0 | |||||||||
0.603265 | − | 0.669993i | 0.0206918 | − | 0.0229806i | |||||
1.26033 | − | 0.267892i | 0.0432037 | − | 0.00918323i | |||||
0 | 0 | |||||||||
−19.1776 | + | 8.53842i | −0.656629 | + | 0.292350i | −0.707877 | − | 0.706336i | ||
0.0512479 | + | 0.998686i | ||||||||
−0.480735 | + | 1.47955i | −0.0164504 | + | 0.0506291i | |||||
0 | 0 | |||||||||
−11.2051 | + | 8.14097i | −0.382982 | + | 0.278252i | |||||
14.1590 | − | 24.5241i | 0.483662 | − | 0.837728i | −0.516162 | − | 0.856491i | ||
0.999824 | + | 0.0187634i | ||||||||
0 | 0 | |||||||||
27.8536 | + | 48.2438i | 0.950351 | + | 1.64606i | 0.744665 | + | 0.667439i | ||
0.205687 | + | 0.978618i | ||||||||
21.6760 | + | 9.65077i | 0.739145 | + | 0.329088i | |||||
0 | 0 | |||||||||
−2.86548 | − | 3.18244i | −0.0975986 | − | 0.108394i | |||||
24.8932 | + | 18.0860i | 0.847375 | + | 0.615654i | 0.924421 | − | 0.381374i | ||
−0.0770462 | + | 0.997028i | ||||||||
0 | 0 | |||||||||
5.95890 | − | 18.3396i | 0.202609 | − | 0.623565i | |||||
8.60645 | + | 1.82936i | 0.292459 | + | 0.0621641i | |||||
0 | 0 | |||||||||
15.6246 | + | 27.0626i | 0.530334 | + | 0.918566i | |||||
−2.51565 | + | 38.3309i | −0.0853377 | + | 1.30029i | |||||
0 | 0 | |||||||||
−1.79839 | − | 17.1106i | −0.0609362 | − | 0.579769i | |||||
−7.83232 | − | 24.1054i | −0.265236 | − | 0.816312i | |||||
0 | 0 | |||||||||
−13.4175 | − | 9.74835i | −0.453852 | − | 0.329743i | |||||
−17.0542 | + | 7.59300i | −0.576536 | + | 0.256690i | |||||
0 | 0 | |||||||||
20.7384 | − | 23.0323i | 0.700286 | − | 0.777747i | −0.283136 | − | 0.959080i | ||
0.983422 | + | 0.181333i | ||||||||
−6.14850 | − | 2.73749i | −0.207502 | − | 0.0923857i | |||||
0 | 0 | |||||||||
−4.12584 | − | 28.4727i | −0.139082 | − | 0.959814i | |||||
−29.9198 | −1.00802 | −0.504012 | − | 0.863697i | ||||||
−0.504012 | + | 0.863697i | ||||||||
0 | 0 | |||||||||
4.39514 | + | 13.5269i | 0.147908 | + | 0.455215i | 0.997374 | − | 0.0724296i | ||
−0.849465 | + | 0.527645i | ||||||||
−5.36831 | − | 5.96212i | −0.180556 | − | 0.200528i | |||||
0 | 0 | |||||||||
−0.747709 | + | 7.11398i | −0.0251198 | + | 0.238999i | |||||
−2.57329 | + | 0.546971i | −0.0864028 | + | 0.0183655i | −0.250910 | − | 0.968010i | ||
0.164507 | + | 0.986376i | ||||||||
0 | 0 | |||||||||
0.217508 | + | 2.06945i | 0.00729497 | + | 0.0694070i | |||||
1.38194 | 0.0463228 | |||||||||
0 | 0 | |||||||||
35.2874 | 1.18151 | |||||||||
8.00706 | + | 76.1821i | 0.267946 | + | 2.54934i | |||||
0 | 0 | |||||||||
23.6336 | − | 5.02347i | 0.789983 | − | 0.167916i | |||||
−2.54572 | + | 24.2210i | −0.0850467 | + | 0.809165i | |||||
0 | 0 | |||||||||
0.504780 | + | 0.560615i | 0.0168447 | + | 0.0187080i | |||||
15.3821 | + | 47.3412i | 0.513021 | + | 1.57892i | |||||
0 | 0 | |||||||||
6.19577 | 0.206411 | |||||||||
−0.533420 | − | 0.547665i | −0.0177609 | − | 0.0182352i | |||||
0 | 0 | |||||||||
6.50388 | + | 2.89572i | 0.216316 | + | 0.0963101i | |||||
−3.37381 | + | 3.74700i | −0.112149 | + | 0.124554i | |||||
0 | 0 | |||||||||
−9.28389 | + | 4.13345i | −0.308266 | + | 0.137249i | −0.555039 | − | 0.831824i | ||
0.246772 | + | 0.969073i | ||||||||
1.63197 | + | 1.18570i | 0.0541589 | + | 0.0393488i | |||||
0 | 0 | |||||||||
2.86265 | + | 8.81033i | 0.0948959 | + | 0.292060i | |||||
−0.615910 | − | 5.85999i | −0.0204060 | − | 0.194150i | 0.979570 | − | 0.201104i | ||
−0.999976 | + | 0.00695428i | ||||||||
0 | 0 | |||||||||
−2.63094 | + | 0.667932i | −0.0870713 | + | 0.0221053i | |||||
1.50116 | + | 2.60008i | 0.0496539 | + | 0.0860031i | |||||
0 | 0 | |||||||||
−22.4150 | − | 4.76446i | −0.740613 | − | 0.157422i | |||||
15.2240 | − | 46.8546i | 0.502740 | − | 1.54727i | |||||
0 | 0 | |||||||||
−26.1285 | − | 18.9835i | −0.861899 | − | 0.626206i | 0.0665018 | − | 0.997786i | ||
−0.928401 | + | 0.371580i | ||||||||
16.9990 | + | 18.8793i | 0.560441 | + | 0.622433i | |||||
0 | 0 | |||||||||
−2.16903 | − | 0.965713i | −0.0714331 | − | 0.0318041i | |||||
23.4791 | + | 40.6669i | 0.772823 | + | 1.33857i | |||||
0 | 0 | |||||||||
0.211247 | − | 0.365890i | 0.00694575 | − | 0.0120304i | |||||
−0.0801267 | + | 0.0582155i | −0.00263313 | + | 0.00191308i | |||||
0 | 0 | |||||||||
−9.11525 | + | 28.0539i | −0.299223 | + | 0.920913i | |||||
44.6570 | − | 19.8826i | 1.46515 | − | 0.652327i | 0.489568 | − | 0.871965i | ||
0.975581 | + | 0.219639i | ||||||||
0 | 0 | |||||||||
5.17055 | − | 1.09903i | 0.169458 | − | 0.0360194i | |||||
18.8357 | − | 20.9192i | 0.616985 | − | 0.685231i | |||||
0 | 0 | |||||||||
−1.38802 | + | 2.40413i | −0.0454175 | + | 0.0786655i | |||||
−7.86705 | + | 6.20078i | −0.257280 | + | 0.202787i | |||||
0 | 0 | |||||||||
−36.4628 | + | 26.4917i | −1.19119 | + | 0.865447i | −0.993389 | − | 0.114796i | ||
−0.197797 | + | 0.980243i | ||||||||
3.98287 | + | 0.846586i | 0.130045 | + | 0.0276420i | |||||
0 | 0 | |||||||||
5.92457 | − | 56.3686i | 0.193238 | − | 1.83854i | |||||
1.71991 | − | 16.3639i | 0.0560675 | − | 0.533447i | −0.930054 | − | 0.367423i | ||
0.986122 | − | 0.166024i | ||||||||
0 | 0 | |||||||||
−4.20090 | − | 0.892929i | −0.136800 | − | 0.0290778i | |||||
−22.0257 | + | 16.0026i | −0.716877 | + | 0.520841i | |||||
0 | 0 | |||||||||
4.72239 | + | 3.15599i | 0.153538 | + | 0.102610i | |||||
3.50636 | − | 6.07320i | 0.113942 | − | 0.197352i | −0.803415 | − | 0.595420i | ||
0.917356 | + | 0.398067i | ||||||||
0 | 0 | |||||||||
−5.44168 | + | 6.04359i | −0.176644 | + | 0.196183i | |||||
−5.31932 | + | 1.13066i | −0.172581 | + | 0.0366833i | |||||
0 | 0 | |||||||||
3.59101 | − | 1.59882i | 0.116385 | − | 0.0518180i | |||||
3.34588 | − | 10.2976i | 0.108384 | − | 0.333571i | −0.882126 | − | 0.471014i | ||
0.990510 | + | 0.137443i | ||||||||
0 | 0 | |||||||||
13.9169 | − | 10.1112i | 0.450341 | − | 0.327192i | |||||
−13.4491 | + | 23.2946i | −0.434976 | + | 0.753401i | |||||
0 | 0 | |||||||||
−4.20347 | − | 7.28062i | −0.135808 | − | 0.235226i | |||||
9.02969 | + | 4.02028i | 0.291584 | + | 0.129821i | |||||
0 | 0 | |||||||||
9.33416 | + | 10.3666i | 0.301102 | + | 0.334407i | |||||
0.213588 | + | 0.155181i | 0.00688637 | + | 0.00500324i | |||||
0 | 0 | |||||||||
6.94611 | − | 21.3779i | 0.223719 | − | 0.688537i | |||||
7.40401 | + | 1.57377i | 0.238344 | + | 0.0506615i | |||||
0 | 0 | |||||||||
−2.94103 | − | 5.09401i | −0.0945771 | − | 0.163812i | 0.814855 | − | 0.579665i | ||
−0.909432 | + | 0.415853i | ||||||||
0.406202 | − | 15.4109i | 0.0130558 | − | 0.495325i | |||||
0 | 0 | |||||||||
1.02421 | + | 9.74475i | 0.0328855 | + | 0.312885i | |||||
5.64280 | + | 17.3667i | 0.181086 | + | 0.557325i | 0.999859 | − | 0.0167920i | ||
−0.818773 | + | 0.574117i | ||||||||
0 | 0 | |||||||||
−6.87009 | − | 4.99141i | −0.220245 | − | 0.160017i | |||||
−7.97406 | + | 3.55028i | −0.255505 | + | 0.113758i | |||||
0 | 0 | |||||||||
3.72120 | − | 4.13282i | 0.119113 | − | 0.132288i | |||||
−1.53328 | − | 0.682658i | −0.0490538 | − | 0.0218402i | 0.382063 | − | 0.924136i | ||
−0.431117 | + | 0.902296i | ||||||||
0 | 0 | |||||||||
−4.64287 | − | 0.798201i | −0.148387 | − | 0.0255106i | |||||
−3.91125 | −0.124940 | |||||||||
0 | 0 | |||||||||
3.93678 | + | 12.1162i | 0.125628 | + | 0.386643i | |||||
7.50703 | + | 8.33740i | 0.239437 | + | 0.265922i | 0.850872 | − | 0.525373i | ||
−0.611435 | + | 0.791295i | ||||||||
0 | 0 | |||||||||
−7.22030 | + | 68.6966i | −0.230058 | + | 2.18886i | |||||
2.95847 | − | 0.628842i | 0.0942168 | − | 0.0200264i | |||||
0 | 0 | |||||||||
5.05843 | + | 48.1278i | 0.160930 | + | 1.53115i | |||||
31.9077 | 1.01461 | |||||||||
0 | 0 | |||||||||
−7.78978 | −0.247451 | −0.123725 | − | 0.992317i | ||||||
−0.123725 | + | 0.992317i | ||||||||
2.78429 | + | 26.4908i | 0.0884013 | + | 0.841082i | |||||
0 | 0 | |||||||||
−10.8707 | + | 2.31064i | −0.344797 | + | 0.0732890i | |||||
3.74709 | − | 35.6511i | 0.118791 | − | 1.13022i | |||||
0 | 0 | |||||||||
−28.9889 | − | 32.1954i | −0.918088 | − | 1.01964i | −0.999736 | − | 0.0229789i | ||
0.0816479 | − | 0.996661i | ||||||||
−2.54682 | − | 7.83830i | −0.0806181 | − | 0.248117i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 891.2.n.f.784.2 | 32 | ||
3.2 | odd | 2 | 891.2.n.i.784.3 | 32 | |||
9.2 | odd | 6 | 297.2.f.a.190.3 | yes | 16 | ||
9.4 | even | 3 | inner | 891.2.n.f.190.3 | 32 | ||
9.5 | odd | 6 | 891.2.n.i.190.2 | 32 | |||
9.7 | even | 3 | 297.2.f.d.190.2 | yes | 16 | ||
11.4 | even | 5 | inner | 891.2.n.f.136.3 | 32 | ||
33.26 | odd | 10 | 891.2.n.i.136.2 | 32 | |||
99.2 | even | 30 | 3267.2.a.bf.1.6 | 8 | |||
99.4 | even | 15 | inner | 891.2.n.f.433.2 | 32 | ||
99.20 | odd | 30 | 3267.2.a.bm.1.3 | 8 | |||
99.59 | odd | 30 | 891.2.n.i.433.3 | 32 | |||
99.70 | even | 15 | 297.2.f.d.136.2 | yes | 16 | ||
99.79 | odd | 30 | 3267.2.a.bl.1.3 | 8 | |||
99.92 | odd | 30 | 297.2.f.a.136.3 | ✓ | 16 | ||
99.97 | even | 15 | 3267.2.a.be.1.6 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.f.a.136.3 | ✓ | 16 | 99.92 | odd | 30 | ||
297.2.f.a.190.3 | yes | 16 | 9.2 | odd | 6 | ||
297.2.f.d.136.2 | yes | 16 | 99.70 | even | 15 | ||
297.2.f.d.190.2 | yes | 16 | 9.7 | even | 3 | ||
891.2.n.f.136.3 | 32 | 11.4 | even | 5 | inner | ||
891.2.n.f.190.3 | 32 | 9.4 | even | 3 | inner | ||
891.2.n.f.433.2 | 32 | 99.4 | even | 15 | inner | ||
891.2.n.f.784.2 | 32 | 1.1 | even | 1 | trivial | ||
891.2.n.i.136.2 | 32 | 33.26 | odd | 10 | |||
891.2.n.i.190.2 | 32 | 9.5 | odd | 6 | |||
891.2.n.i.433.3 | 32 | 99.59 | odd | 30 | |||
891.2.n.i.784.3 | 32 | 3.2 | odd | 2 | |||
3267.2.a.be.1.6 | 8 | 99.97 | even | 15 | |||
3267.2.a.bf.1.6 | 8 | 99.2 | even | 30 | |||
3267.2.a.bl.1.3 | 8 | 99.79 | odd | 30 | |||
3267.2.a.bm.1.3 | 8 | 99.20 | odd | 30 |