Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [825,2,Mod(169,825)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(825, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("825.169");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 825.cb (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 169.14 | ||
Character | 825.169 | ||
Dual form | 825.2.cb.a.454.14 |
-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 .
−1.75058 | − | 0.568798i | −1.23785 | − | 0.402201i | −0.384297 | − | 0.923210i | ||
−0.853552 | + | 0.521008i | ||||||||
−0.951057 | + | 0.309017i | −0.549093 | + | 0.178411i | |||||
1.12297 | + | 0.815886i | 0.561485 | + | 0.407943i | |||||
2.12442 | − | 0.697744i | 0.950069 | − | 0.312040i | |||||
1.84067 | 0.751451 | |||||||||
0.161477 | − | 0.0524671i | 0.0610326 | − | 0.0198307i | −0.278342 | − | 0.960482i | ||
0.339374 | + | 0.940651i | ||||||||
0.662061 | + | 0.911249i | 0.234074 | + | 0.322175i | |||||
0.809017 | − | 0.587785i | 0.269672 | − | 0.195928i | |||||
−4.11584 | + | 0.0130915i | −1.30154 | + | 0.00413990i | |||||
−2.62986 | + | 2.02085i | −0.792933 | + | 0.609309i | |||||
−1.32013 | − | 0.428937i | −0.381089 | − | 0.123823i | |||||
3.85838 | + | 5.31060i | 1.07012 | + | 1.47290i | 0.869954 | + | 0.493133i | ||
0.200167 | + | 0.979762i | ||||||||
−0.312522 | −0.0835250 | |||||||||
−1.80483 | + | 1.32008i | −0.466004 | + | 0.340842i | |||||
−1.49855 | − | 4.61206i | −0.374637 | − | 1.15301i | |||||
− | 1.03771i | − | 0.251682i | −0.992050 | − | 0.125841i | ||||
0.992050 | − | 0.125841i | ||||||||
−1.75058 | + | 0.568798i | −0.412616 | + | 0.134067i | |||||
−3.38755 | + | 2.46120i | −0.777158 | + | 0.564638i | −0.904125 | − | 0.427269i | ||
0.126967 | + | 0.991907i | ||||||||
2.95494 | + | 0.949737i | 0.660744 | + | 0.212368i | |||||
−0.137361 | + | 0.0997983i | −0.0299745 | + | 0.0217778i | |||||
5.75324 | − | 2.04180i | 1.22660 | − | 0.435313i | |||||
−5.22698 | + | 1.69835i | −1.08990 | + | 0.354130i | −0.798208 | − | 0.602382i | ||
−0.291693 | + | 0.956512i | ||||||||
−0.911249 | − | 0.662061i | −0.186008 | − | 0.135143i | |||||
4.02631 | − | 2.96460i | 0.805261 | − | 0.592920i | |||||
−3.73374 | − | 11.4913i | −0.732247 | − | 2.25362i | |||||
−0.587785 | + | 0.809017i | −0.113119 | + | 0.155695i | |||||
0.224141 | + | 0.0728279i | 0.0423587 | + | 0.0137632i | |||||
−0.595847 | − | 0.432909i | −0.110646 | − | 0.0803891i | 0.531086 | − | 0.847318i | ||
−0.641732 | + | 0.766929i | ||||||||
3.91035 | − | 1.28432i | 0.713930 | − | 0.234483i | |||||
−0.0908653 | − | 0.279655i | −0.0163199 | − | 0.0502274i | 0.942565 | − | 0.334023i | ||
−0.958885 | + | 0.283796i | ||||||||
6.67342i | 1.17971i | |||||||||
1.87667 | − | 2.73461i | 0.326686 | − | 0.476035i | |||||
−0.590249 | + | 1.81660i | −0.101227 | + | 0.311544i | |||||
0.306436 | − | 0.224132i | 0.0517972 | − | 0.0378852i | |||||
1.38807 | 0.231345 | |||||||||
3.82856i | 0.629411i | 0.949189 | + | 0.314705i | ||||||
−0.949189 | + | 0.314705i | ||||||||
7.33012 | − | 2.38170i | 1.18910 | − | 0.386363i | |||||
−5.31060 | − | 3.85838i | −0.850376 | − | 0.617835i | |||||
2.04231 | + | 1.47392i | 0.322918 | + | 0.233048i | |||||
−9.89108 | − | 7.18629i | −1.54473 | − | 1.12231i | −0.947282 | − | 0.320400i | ||
−0.597445 | − | 0.801910i | ||||||||
0.297226 | − | 0.0965746i | 0.0458630 | − | 0.0149018i | |||||
1.43140i | 0.218287i | 0.994026 | + | 0.109144i | ||||||
−0.994026 | + | 0.109144i | ||||||||
−4.60204 | + | 0.123687i | −0.693783 | + | 0.0186465i | |||||
1.30857 | − | 1.81319i | 0.195070 | − | 0.270294i | |||||
10.1163 | 1.49156 | |||||||||
5.74408 | − | 1.86636i | 0.837860 | − | 0.272237i | 0.141508 | − | 0.989937i | ||
0.696353 | + | 0.717700i | ||||||||
2.85041 | + | 3.92325i | 0.411421 | + | 0.566272i | |||||
−5.63980 | + | 4.09755i | −0.805685 | + | 0.585365i | |||||
−8.73464 | + | 2.89962i | −1.23526 | + | 0.410068i | |||||
0.320671 | + | 0.986923i | 0.0449029 | + | 0.138197i | |||||
9.11164i | 1.26356i | |||||||||
2.20721i | 0.303183i | 0.988443 | + | 0.151592i | ||||||
−0.988443 | + | 0.151592i | ||||||||
1.48913 | − | 1.08192i | 0.202645 | − | 0.147231i | |||||
−4.17689 | + | 6.12810i | −0.563212 | + | 0.826313i | |||||
0.154718 | + | 0.112409i | 0.0206751 | + | 0.0150213i | |||||
2.46120 | − | 3.38755i | 0.325994 | − | 0.448692i | |||||
0.796842 | + | 1.09676i | 0.104630 | + | 0.144011i | |||||
−14.3049 | −1.86234 | −0.931172 | − | 0.364581i | ||||||
−0.931172 | + | 0.364581i | ||||||||
−3.10380 | + | 0.00987244i | −0.400699 | + | 0.00127453i | |||||
11.1996 | + | 8.13701i | 1.43397 | + | 1.04184i | 0.989261 | + | 0.146161i | ||
0.444705 | + | 0.895677i | ||||||||
0.541242i | 0.0687378i | |||||||||
0.0997983 | − | 0.137361i | 0.0125734 | − | 0.0173058i | |||||
0.798737 | − | 2.45826i | 0.0998421 | − | 0.307282i | |||||
11.9022 | + | 8.58978i | 1.47629 | + | 1.06543i | |||||
−4.84071 | + | 3.71972i | −0.595850 | + | 0.457865i | |||||
−6.82297 | + | 9.39102i | −0.833559 | + | 1.14730i | 0.153691 | + | 0.988119i | ||
−0.987250 | + | 0.159176i | ||||||||
0.846655 | − | 1.16532i | 0.102672 | − | 0.141316i | |||||
4.44634 | − | 3.23045i | 0.535276 | − | 0.388901i | |||||
−0.663927 | + | 0.218060i | −0.0793545 | + | 0.0260632i | |||||
−0.682027 | + | 2.09906i | −0.0809417 | + | 0.249113i | −0.983336 | − | 0.181799i | ||
0.902394 | + | 0.430912i | ||||||||
1.07124 | + | 0.348066i | 0.126247 | + | 0.0410200i | |||||
8.57381 | + | 11.8008i | 1.00349 | + | 1.38118i | 0.923160 | + | 0.384415i | ||
0.0803281 | + | 0.996768i | ||||||||
2.17768 | − | 6.70220i | 0.253150 | − | 0.779115i | |||||
−2.91313 | + | 4.06370i | −0.336380 | + | 0.469236i | |||||
−5.81218 | −0.666703 | |||||||||
−0.318634 | + | 0.464302i | −0.0363117 | + | 0.0529121i | |||||
7.10200 | + | 9.77506i | 0.804143 | + | 1.10681i | |||||
11.1282 | 1.25202 | 0.626008 | − | 0.779817i | ||||||
0.626008 | + | 0.779817i | ||||||||
−6.40158 | − | 8.75234i | −0.715718 | − | 0.978541i | |||||
0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | |||||
13.2276 | + | 18.2062i | 1.46074 | + | 2.01054i | |||||
14.1599i | 1.55425i | 0.629344 | + | 0.777127i | ||||||
−0.629344 | + | 0.777127i | ||||||||
−0.235676 | −0.0257143 | |||||||||
−0.724057 | − | 2.20453i | −0.0785350 | − | 0.239115i | |||||
0.814181 | − | 2.50579i | 0.0877954 | − | 0.270206i | |||||
0.700461 | + | 0.227593i | 0.0750973 | + | 0.0244006i | |||||
−3.58262 | − | 1.05853i | −0.381909 | − | 0.112840i | |||||
0.142074 | + | 0.437258i | 0.0150598 | + | 0.0463492i | 0.958304 | − | 0.285751i | ||
−0.943244 | + | 0.332100i | ||||||||
−3.32209 | + | 2.42982i | −0.350179 | + | 0.256126i | |||||
0.901671 | + | 0.655102i | 0.0945208 | + | 0.0686734i | |||||
−7.25541 | − | 2.35742i | −0.756429 | − | 0.245779i | |||||
0.172836 | + | 0.237888i | 0.0179223 | + | 0.0246679i | |||||
−11.1171 | −1.14664 | |||||||||
−5.47929 | + | 7.59227i | −0.562164 | + | 0.778950i | |||||
−2.06220 | − | 6.34680i | −0.210473 | − | 0.647768i | |||||
4.61724i | 0.468810i | 0.972139 | + | 0.234405i | ||||||
−0.972139 | + | 0.234405i | ||||||||
12.2036 | − | 3.96519i | 1.23275 | − | 0.400545i | |||||
−0.939777 | + | 3.18069i | −0.0944512 | + | 0.319672i | |||||
6.94020 | − | 0.0441507i | 0.694020 | − | 0.00441507i | |||||
−0.268477 | − | 0.195060i | −0.0267145 | − | 0.0194092i | 0.574348 | − | 0.818611i | ||
−0.601062 | + | 0.799202i | ||||||||
− | 1.91009i | − | 0.189127i | |||||||
4.13076 | − | 5.68551i | 0.407016 | − | 0.560210i | −0.555471 | − | 0.831536i | ||
0.962487 | + | 0.271326i | ||||||||
−2.28480 | + | 7.03188i | −0.224043 | + | 0.689533i | |||||
−0.222178 | + | 0.307856i | −0.0216823 | + | 0.0300437i | |||||
1.25546 | − | 3.86390i | 0.121941 | − | 0.375295i | |||||
0.706648 | + | 0.229604i | 0.0683142 | + | 0.0221966i | 0.342975 | − | 0.939345i | ||
−0.274661 | + | 0.961541i | ||||||||
−1.32013 | + | 0.428937i | −0.127030 | + | 0.0412744i | |||||
1.47491 | − | 4.53931i | 0.141271 | − | 0.434787i | −0.855242 | − | 0.518229i | ||
0.996513 | + | 0.0834422i | ||||||||
10.7976 | − | 8.35193i | 1.02951 | − | 0.796325i | |||||
−1.18309 | − | 3.64117i | −0.112294 | − | 0.345605i | |||||
−0.483962 | − | 0.666117i | −0.0457301 | − | 0.0629421i | |||||
5.13705 | − | 7.07054i | 0.483253 | − | 0.665140i | −0.495873 | − | 0.868395i | ||
0.979126 | + | 0.203255i | ||||||||
−6.23537 | + | 4.53026i | −0.583996 | + | 0.424298i | |||||
−9.91929 | + | 7.25510i | −0.924978 | + | 0.676542i | |||||
−0.315915 | − | 0.972287i | −0.0293320 | − | 0.0902746i | |||||
6.24298 | + | 2.02847i | 0.577164 | + | 0.187532i | |||||
25.0419 | + | 8.13662i | 2.30530 | + | 0.749037i | |||||
−0.0544457 | − | 0.167567i | −0.00499103 | − | 0.0153608i | |||||
−2.39782 | − | 0.770676i | −0.218890 | − | 0.0703528i | |||||
2.83234 | − | 10.6291i | 0.257485 | − | 0.966282i | |||||
−14.9776 | − | 20.6148i | −1.35600 | − | 1.86638i | |||||
11.6277 | + | 3.77806i | 1.04843 | + | 0.340656i | |||||
0.126127 | − | 0.388179i | 0.0113266 | − | 0.0348595i | |||||
6.48503 | − | 9.10738i | 0.580039 | − | 0.814589i | |||||
−0.252836 | + | 0.183696i | −0.0225244 | + | 0.0163649i | |||||
−2.15422 | + | 2.96504i | −0.191157 | + | 0.263104i | −0.893828 | − | 0.448410i | ||
0.702671 | + | 0.711515i | ||||||||
5.04857 | − | 6.94876i | 0.446235 | − | 0.614190i | |||||
−0.442328 | − | 1.36135i | −0.0389448 | − | 0.119860i | |||||
−15.9500 | − | 21.8071i | −1.39891 | − | 1.91261i | |||||
14.5629 | + | 10.5806i | 1.27237 | + | 0.924430i | 0.999294 | − | 0.0375625i | ||
0.273075 | + | 0.961993i | ||||||||
4.33858 | − | 1.53974i | 0.377625 | − | 0.134017i | |||||
−0.417880 | + | 0.575163i | −0.0362348 | + | 0.0498729i | |||||
17.2858 | − | 12.5588i | 1.49326 | − | 1.08492i | |||||
−0.684215 | + | 2.12881i | −0.0588879 | + | 0.183219i | |||||
0.945614 | − | 0.687029i | 0.0810857 | − | 0.0589122i | |||||
−12.1727 | + | 3.95515i | −1.03998 | + | 0.337911i | −0.778730 | − | 0.627359i | ||
−0.261254 | + | 0.965270i | ||||||||
−9.62115 | + | 3.12610i | −0.819007 | + | 0.266112i | |||||
−9.79416 | + | 7.11588i | −0.830730 | + | 0.603561i | −0.919766 | − | 0.392468i | ||
0.0890357 | + | 0.996028i | ||||||||
0.526985 | − | 0.00167621i | 0.0445383 | − | 0.000141666i | |||||
−4.88621 | + | 3.55004i | −0.411493 | + | 0.298967i | |||||
2.38789 | − | 3.28664i | 0.200387 | − | 0.275809i | |||||
−20.8789 | − | 6.16894i | −1.74598 | − | 0.515873i | |||||
−3.92325 | − | 2.85041i | −0.326937 | − | 0.237534i | |||||
−1.56789 | − | 0.503930i | −0.130206 | − | 0.0418491i | |||||
−8.29686 | − | 25.5351i | −0.686653 | − | 2.11330i | |||||
4.09755 | − | 5.63980i | 0.337960 | − | 0.465163i | |||||
−3.12366 | + | 4.29936i | −0.256764 | + | 0.353405i | |||||
−11.8481 | + | 8.60817i | −0.970636 | + | 0.705208i | −0.955596 | − | 0.294679i | ||
−0.0150396 | + | 0.999887i | ||||||||
7.41111 | − | 5.45685i | 0.605114 | − | 0.445550i | |||||
3.45685 | − | 10.6391i | 0.281315 | − | 0.865797i | −0.706165 | − | 0.708048i | ||
0.987479 | − | 0.157749i | ||||||||
−4.48553 | − | 1.45744i | −0.363825 | − | 0.118214i | |||||
−0.609952 | − | 0.839527i | −0.0493117 | − | 0.0678717i | |||||
0.821889 | − | 0.631560i | 0.0662297 | − | 0.0508925i | |||||
−0.388163 | − | 0.530703i | −0.0311780 | − | 0.0426271i | |||||
−2.81565 | − | 8.66568i | −0.225433 | − | 0.693810i | |||||
−8.90719 | − | 2.89412i | −0.710871 | − | 0.230976i | −0.0688104 | − | 0.997630i | ||
−0.642061 | + | 0.766654i | ||||||||
−19.4807 | − | 6.32968i | −1.54980 | − | 0.503562i | |||||
−0.682064 | − | 2.09918i | −0.0540912 | − | 0.166476i | |||||
4.65634 | + | 14.1771i | 0.368116 | + | 1.12080i | |||||
−0.754930 | + | 0.548489i | −0.0594968 | + | 0.0432270i | |||||
−1.08192 | + | 1.48913i | −0.0850036 | + | 0.116997i | |||||
−11.8460 | − | 16.3046i | −0.927848 | − | 1.27707i | −0.960693 | − | 0.277613i | ||
0.0328447 | − | 0.999460i | ||||||||
−5.24420 | − | 16.1400i | −0.409503 | − | 1.26032i | |||||
2.07877 | − | 7.11890i | 0.161832 | − | 0.554205i | |||||
8.05415 | − | 24.7881i | 0.625123 | − | 1.92393i | |||||
21.8120 | − | 7.08714i | 1.68786 | − | 0.548420i | 0.701451 | − | 0.712717i | ||
0.986411 | + | 0.164298i | ||||||||
−0.181882 | − | 0.0590971i | −0.0140325 | − | 0.00455944i | |||||
−9.29817 | + | 28.6168i | −0.715244 | + | 2.20129i | |||||
0.0135852 | + | 4.27106i | 0.00104194 | + | 0.327575i | |||||
−1.29393 | + | 3.98231i | −0.0989493 | + | 0.304535i | |||||
−1.16786 | + | 1.60743i | −0.0890487 | + | 0.122565i | |||||
15.2451i | 1.15907i | 0.814949 | + | 0.579533i | ||||||
−0.814949 | + | 0.579533i | ||||||||
−1.09676 | − | 0.796842i | −0.0831451 | − | 0.0604084i | |||||
0.494612 | − | 0.689963i | 0.0373892 | − | 0.0521563i | |||||
13.2612 | + | 9.10073i | 0.999604 | + | 0.685993i | |||||
13.6048 | − | 4.42047i | 1.02260 | − | 0.332263i | |||||
− | 0.846267i | − | 0.0634304i | |||||||
2.87221 | + | 8.83975i | 0.214679 | + | 0.660714i | 0.999176 | + | 0.0405818i | ||
−0.784497 | + | 0.620132i | ||||||||
2.94884 | − | 0.968516i | 0.219793 | − | 0.0721889i | |||||
3.75534 | 0.279132 | 0.139566 | − | 0.990213i | ||||||
0.139566 | + | 0.990213i | ||||||||
−1.20583 | − | 1.65968i | −0.0893819 | − | 0.123024i | |||||
−13.1660 | − | 4.27788i | −0.973256 | − | 0.316230i | |||||
−5.00820 | − | 3.63867i | −0.369209 | − | 0.268246i | |||||
2.67135 | + | 8.13345i | 0.196402 | + | 0.597983i | |||||
−0.167253 | − | 0.514752i | −0.0122636 | − | 0.0377434i | |||||
2.09706 | + | 2.72904i | 0.153352 | + | 0.199567i | |||||
7.97317 | + | 2.59064i | 0.581503 | + | 0.188942i | |||||
−0.0524671 | + | 0.161477i | −0.00381642 | + | 0.0117457i | |||||
13.9104 | − | 10.1743i | 1.00917 | − | 0.738119i | |||||
25.4592 | 1.84216 | 0.921081 | − | 0.389371i | ||||||
0.921081 | + | 0.389371i | ||||||||
2.58477i | 0.186539i | |||||||||
−4.65416 | − | 6.40591i | −0.335014 | − | 0.461107i | 0.607963 | − | 0.793965i | ||
−0.942977 | + | 0.332858i | ||||||||
2.62628 | − | 8.08285i | 0.188556 | − | 0.580315i | |||||
−13.9741 | − | 4.49137i | −1.00071 | − | 0.321634i | |||||
−9.67646 | −0.691176 | |||||||||
4.73782 | + | 6.52105i | 0.337556 | + | 0.464606i | 0.943726 | − | 0.330730i | ||
−0.606170 | + | 0.795335i | ||||||||
3.45433 | − | 5.03352i | 0.245489 | − | 0.357717i | |||||
−15.2117 | −1.07833 | −0.539163 | − | 0.842201i | ||||||
−0.539163 | + | 0.842201i | ||||||||
5.36715 | + | 1.70622i | 0.379515 | + | 0.120648i | |||||
3.58705 | − | 11.0398i | 0.253011 | − | 0.778688i | |||||
0.359042 | + | 0.494179i | 0.0252621 | + | 0.0347703i | |||||
−0.118929 | − | 0.0386424i | −0.00834719 | − | 0.00271217i | |||||
−0.445113 | + | 1.36992i | −0.0311641 | + | 0.0959133i | |||||
−26.0270 | − | 8.36525i | −1.81780 | − | 0.584254i | |||||
−10.4651 | + | 7.60337i | −0.729141 | + | 0.529752i | |||||
−3.23045 | + | 4.44634i | −0.224532 | + | 0.309042i | |||||
18.7108 | − | 25.7532i | 1.29736 | − | 1.78567i | |||||
3.93508 | − | 13.3184i | 0.272195 | − | 0.921250i | |||||
0.564048 | − | 0.412552i | 0.0389230 | − | 0.0284688i | |||||
3.33692 | − | 10.2700i | 0.229723 | − | 0.707016i | −0.768054 | − | 0.640385i | ||
0.997778 | − | 0.0666311i | ||||||||
−1.80083 | + | 2.47863i | −0.123681 | + | 0.170233i | |||||
− | 2.20708i | − | 0.151227i | |||||||
−1.10645 | − | 0.803881i | −0.0756351 | − | 0.0549521i | |||||
0.998754 | + | 3.04090i | 0.0681144 | + | 0.207388i | |||||
−1.12637 | −0.0766395 | |||||||||
−0.0293453 | − | 0.0403904i | −0.00199209 | − | 0.00274188i | |||||
−5.16391 | + | 7.10751i | −0.349744 | + | 0.481381i | |||||
−11.8008 | − | 8.57381i | −0.797427 | − | 0.579364i | |||||
−9.69035 | + | 3.47381i | −0.653324 | + | 0.234204i | |||||
5.51087 | − | 4.00388i | 0.370701 | − | 0.269330i | |||||
7.04711i | 0.472971i | |||||||||
− | 6.72487i | − | 0.450331i | −0.974321 | − | 0.225165i | ||||
0.974321 | − | 0.225165i | ||||||||
0.350135 | + | 1.07760i | 0.0233944 | + | 0.0720005i | |||||
1.51480 | − | 4.76502i | 0.100987 | − | 0.317668i | |||||
−13.0145 | + | 9.45561i | −0.865713 | + | 0.628978i | |||||
−7.99327 | − | 11.0018i | −0.530532 | − | 0.730215i | 0.456679 | − | 0.889631i | ||
−0.987211 | + | 0.159416i | ||||||||
5.52771 | − | 1.79606i | 0.366082 | − | 0.118947i | |||||
7.24194 | 0.478561 | 0.239280 | − | 0.970951i | ||||||
0.239280 | + | 0.970951i | ||||||||
21.4912 | − | 7.05857i | 1.41709 | − | 0.465428i | |||||
0.159562 | − | 0.540041i | 0.0104984 | − | 0.0355321i | |||||
− | 0.829577i | − | 0.0544644i | |||||||
−15.5173 | + | 5.04188i | −1.01657 | + | 0.330304i | −0.769469 | − | 0.638685i | ||
−0.247104 | + | 0.968989i | ||||||||
−9.77506 | − | 7.10200i | −0.639016 | − | 0.464272i | |||||
10.9006 | − | 7.97284i | 0.711076 | − | 0.520090i | |||||
−16.0640 | − | 11.6712i | −1.04568 | − | 0.759730i | |||||
−10.5835 | + | 3.43879i | −0.687472 | + | 0.223373i | |||||
0.324308i | 0.0210218i | |||||||||
−1.58661 | −0.102629 | −0.0513145 | − | 0.998683i | ||||||
−0.0513145 | + | 0.998683i | ||||||||
8.79288 | + | 6.34577i | 0.567578 | + | 0.409618i | |||||
6.51807 | − | 20.0606i | 0.419866 | − | 1.29221i | −0.487960 | − | 0.872866i | ||
0.907825 | − | 0.419348i | ||||||||
−11.0041 | + | 16.9961i | −0.707368 | + | 1.09255i | |||||
1.00000i | 0.0641500i | |||||||||
5.93799 | + | 18.2752i | 0.380141 | + | 1.16995i | |||||
−9.12225 | + | 12.6400i | −0.582799 | + | 0.807543i | |||||
−18.2062 | − | 13.2276i | −1.16079 | − | 0.843361i | |||||
−26.1409 | − | 8.49370i | −1.66331 | − | 0.540441i | |||||
0.194676 | − | 0.267949i | 0.0123620 | − | 0.0170148i | |||||
−4.37566 | − | 13.4669i | −0.277296 | − | 0.853430i | |||||
−16.5328 | + | 12.2545i | −1.04563 | + | 0.775045i | |||||
6.69050 | + | 4.86093i | 0.422301 | + | 0.306819i | 0.778563 | − | 0.627567i | ||
−0.356262 | + | 0.934386i | ||||||||
0.224141 | − | 0.0728279i | 0.0141196 | − | 0.00458772i | |||||
10.3141 | − | 15.0294i | 0.648444 | − | 0.944888i | |||||
5.45765 | − | 3.96522i | 0.342444 | − | 0.248800i | |||||
1.36986 | + | 1.87289i | 0.0857838 | + | 0.117285i | |||||
−16.9726 | + | 12.3313i | −1.06079 | + | 0.770708i | |||||
−2.37472 | + | 0.771595i | −0.148131 | + | 0.0481308i | −0.382144 | − | 0.924103i | ||
0.234013 | + | 0.972233i | ||||||||
2.63474i | 0.164032i | |||||||||
0.200873 | + | 0.618224i | 0.0124816 | + | 0.0384146i | |||||
6.35759 | + | 19.3569i | 0.394281 | + | 1.20047i | |||||
−0.736508 | −0.0455887 | |||||||||
−19.4754 | − | 26.8056i | −1.20319 | − | 1.65605i | |||||
−4.74448 | − | 1.54157i | −0.292557 | − | 0.0950575i | 0.159062 | − | 0.987269i | ||
−0.451618 | + | 0.892211i | ||||||||
3.73438 | − | 0.100367i | 0.229835 | − | 0.00617719i | |||||
1.54006 | + | 4.68903i | 0.0946054 | + | 0.288045i | |||||
1.05868 | − | 0.769180i | 0.0649121 | − | 0.0471614i | |||||
−0.270240 | − | 0.371954i | −0.0165384 | − | 0.0227632i | |||||
−15.3240 | + | 4.97907i | −0.936062 | + | 0.304145i | |||||
5.18045 | 0.315858 | 0.157929 | − | 0.987450i | ||||||
0.157929 | + | 0.987450i | ||||||||
2.40864 | − | 3.33748i | 0.146585 | − | 0.203113i | |||||
12.8910 | + | 9.36583i | 0.783070 | + | 0.568934i | 0.905899 | − | 0.423494i | ||
−0.122829 | + | 0.992428i | ||||||||
−4.78599 | + | 1.55506i | −0.290193 | + | 0.0942894i | |||||
−1.05998 | − | 0.344408i | −0.0641528 | − | 0.0208445i | |||||
23.5590 | 1.42325 | |||||||||
−4.59762 | + | 15.9330i | −0.277247 | + | 0.960799i | |||||
7.62879 | 0.459199 | |||||||||
21.0866 | + | 6.85147i | 1.26697 | + | 0.411665i | 0.863974 | − | 0.503536i | ||
0.402999 | + | 0.915200i | ||||||||
21.1930 | − | 6.88602i | 1.27107 | − | 0.412996i | |||||
−0.237888 | − | 0.172836i | −0.0142420 | − | 0.0103474i | |||||
0.407119 | + | 0.130851i | 0.0243300 | + | 0.00781983i | |||||
−23.8147 | −1.42067 | −0.710334 | − | 0.703865i | ||||||
−0.710334 | + | 0.703865i | ||||||||
10.5730 | − | 3.43536i | 0.629611 | − | 0.204573i | |||||
−0.498218 | − | 0.685738i | −0.0296160 | − | 0.0407629i | 0.793952 | − | 0.607980i | ||
−0.823568 | + | 0.567217i | ||||||||
−2.47849 | + | 1.80073i | −0.147071 | + | 0.106854i | |||||
2.86498 | − | 8.91387i | 0.169707 | − | 0.528012i | |||||
33.0414 | + | 22.6751i | 1.95378 | + | 1.34081i | |||||
−1.97423 | − | 0.641465i | −0.116535 | − | 0.0378645i | |||||
3.92254 | + | 5.39891i | 0.231138 | + | 0.318134i | |||||
15.9232 | 0.936656 | |||||||||
2.45808 | + | 1.77398i | 0.144344 | + | 0.104172i | |||||
−1.42681 | − | 4.39125i | −0.0836408 | − | 0.257420i | |||||
20.2472i | 1.18488i | |||||||||
8.18800 | − | 2.66044i | 0.478348 | − | 0.155425i | −0.0599118 | − | 0.998204i | ||
0.538260 | + | 0.842779i | ||||||||
−10.3810 | + | 7.54224i | −0.605433 | + | 0.439873i | |||||
−30.3897 | + | 9.98118i | −1.76935 | + | 0.581126i | |||||
−3.48877 | + | 2.53474i | −0.202780 | + | 0.147329i | |||||
−0.0891073 | − | 3.31543i | −0.00517053 | − | 0.192381i | |||||
25.6374 | − | 8.33010i | 1.48514 | − | 0.482550i | |||||
−29.1869 | − | 21.2055i | −1.68792 | − | 1.22635i | |||||
−6.58688 | + | 2.18663i | −0.380294 | + | 0.126245i | |||||
0.0751016 | + | 0.231139i | 0.00432879 | + | 0.0133226i | |||||
−12.1030 | + | 16.6583i | −0.696449 | + | 0.958580i | |||||
0.315614 | + | 0.102549i | 0.0181316 | + | 0.00589130i | |||||
16.4276 | + | 11.9354i | 0.942188 | + | 0.684540i | |||||
29.4703 | + | 9.47194i | 1.68746 | + | 0.542362i | |||||
0.590249 | + | 1.81660i | 0.0337423 | + | 0.103848i | |||||
21.6951i | 1.23820i | 0.785310 | + | 0.619102i | ||||||
−0.785310 | + | 0.619102i | ||||||||
−0.736634 | + | 0.261428i | −0.0419736 | + | 0.0148962i | |||||
−2.17167 | + | 6.68371i | −0.123542 | + | 0.380223i | |||||
0.377648 | + | 1.14982i | 0.0214490 | + | 0.0653057i | |||||
−7.17017 | −0.406583 | −0.203291 | − | 0.979118i | ||||||
−0.203291 | + | 0.979118i | ||||||||
− | 7.39376i | − | 0.418589i | |||||||
12.8673 | − | 4.18084i | 0.727303 | − | 0.236315i | 0.0781165 | − | 0.996944i | ||
0.649187 | + | 0.760629i | ||||||||
13.9466 | + | 10.1328i | 0.787052 | + | 0.571827i | |||||
0.116171 | − | 0.361445i | 0.00654549 | − | 0.0203651i | |||||
12.4966 | + | 9.07930i | 0.702988 | + | 0.510751i | |||||
17.2917 | − | 5.61840i | 0.971196 | − | 0.315561i | 0.219898 | − | 0.975523i | ||
0.751299 | + | 0.659962i | ||||||||
4.06274i | 0.227827i | |||||||||
2.44184 | − | 0.0656283i | 0.136717 | − | 0.00367448i | |||||
−0.0183838 | − | 5.77968i | −0.00102768 | − | 0.323094i | |||||
−0.743014 | −0.0414710 | |||||||||
1.63355 | − | 0.530772i | 0.0910340 | − | 0.0295787i | |||||
2.55402 | + | 3.51530i | 0.142109 | + | 0.195597i | |||||
1.12297 | − | 0.815886i | 0.0623873 | − | 0.0453270i | |||||
31.2788 | + | 9.94356i | 1.73504 | + | 0.551570i | |||||
11.4633 | + | 35.2805i | 0.634895 | + | 1.95400i | |||||
4.77291i | 0.263943i | |||||||||
− | 13.7710i | − | 0.760376i | |||||||
0.829614 | − | 0.602750i | 0.0457381 | − | 0.0332307i | |||||
−7.68828 | + | 11.2798i | −0.423226 | + | 0.620933i | |||||
−13.4577 | − | 9.77759i | −0.739702 | − | 0.537425i | 0.152916 | − | 0.988239i | ||
−0.892618 | + | 0.450814i | ||||||||
−11.5529 | + | 15.9012i | −0.634047 | + | 0.872691i | |||||
2.25037 | + | 3.09737i | 0.123319 | + | 0.169735i | |||||
−42.2148 | −2.30989 | |||||||||
−7.94233 | + | 24.7111i | −0.433936 | + | 1.35011i | |||||
0.666117 | + | 0.483962i | 0.0363397 | + | 0.0264023i | |||||
19.3394i | 1.05348i | 0.850025 | + | 0.526742i | ||||||
−0.850025 | + | 0.526742i | ||||||||
32.5544 | − | 44.8073i | 1.77073 | − | 2.43720i | |||||
−2.70070 | + | 8.31191i | −0.146682 | + | 0.451441i | |||||
0.985554 | − | 3.06638i | 0.0534492 | − | 0.166298i | |||||
0.804103 | + | 0.551828i | 0.0435446 | + | 0.0298831i | |||||
4.53026 | − | 6.23537i | 0.244968 | − | 0.337170i | |||||
−1.39430 | + | 1.91909i | −0.0752851 | + | 0.103621i | |||||
−1.30437 | + | 0.947677i | −0.0703267 | + | 0.0510953i | |||||
7.19185 | − | 9.96524i | 0.387196 | − | 0.536510i | |||||
8.67141 | − | 26.6879i | 0.466178 | − | 1.43475i | |||||
−4.09731 | − | 1.33130i | −0.219955 | − | 0.0714677i | 0.196967 | − | 0.980410i | ||
−0.416921 | + | 0.908943i | ||||||||
0.600906 | + | 0.827077i | 0.0322120 | + | 0.0443360i | |||||
7.56819 | − | 23.2925i | 0.405116 | − | 1.24682i | −0.515683 | − | 0.856780i | ||
0.920799 | − | 0.390038i | ||||||||
−1.25831 | + | 0.926502i | −0.0672595 | + | 0.0495236i | |||||
−6.56426 | −0.350374 | |||||||||
−13.4860 | − | 17.5502i | −0.718805 | − | 0.935428i | |||||
−7.47823 | − | 10.2929i | −0.398026 | − | 0.547836i | 0.562221 | − | 0.826987i | ||
−0.960247 | + | 0.279151i | ||||||||
−26.3307 | −1.39946 | |||||||||
0.0156976 | + | 4.93517i | 0.000833141 | + | 0.261931i | |||||
−0.197208 | + | 0.606944i | −0.0104520 | + | 0.0321680i | |||||
0.103562 | + | 0.142541i | 0.00548108 | + | 0.00754406i | |||||
− | 17.1084i | − | 0.904208i | |||||||
31.5526 | 1.66528 | 0.832642 | − | 0.553812i | ||||||
0.832642 | + | 0.553812i | ||||||||
2.51862 | − | 0.00801112i | 0.132743 | − | 0.000422223i | |||||
−0.453318 | + | 1.39517i | −0.0238589 | + | 0.0734300i | |||||
−6.57403 | − | 2.13603i | −0.345524 | − | 0.112267i | |||||
0.590858 | + | 10.9841i | 0.0310120 | + | 0.576517i | |||||
0.478061 | + | 1.47132i | 0.0250572 | + | 0.0771182i | |||||
26.4483 | + | 19.0876i | 1.38437 | + | 0.999090i | |||||
20.6148 | + | 14.9776i | 1.07755 | + | 0.782889i | |||||
9.16660 | + | 2.97841i | 0.478493 | + | 0.155472i | 0.538326 | − | 0.842737i | ||
−0.0598333 | + | 0.998208i | ||||||||
15.6658 | + | 21.5621i | 0.816635 | + | 1.12400i | |||||
−12.2260 | −0.636463 | |||||||||
−0.0501216 | − | 15.7577i | −0.00260570 | − | 0.819206i | |||||
0.115806 | + | 0.356413i | 0.00601233 | + | 0.0185041i | |||||
0.408156i | 0.0211619i | |||||||||
−29.3061 | + | 9.52212i | −1.51741 | + | 0.493037i | −0.945039 | − | 0.326957i | ||
−0.572372 | + | 0.819994i | ||||||||
−2.11880 | − | 5.97021i | −0.109561 | − | 0.308712i | |||||
−3.35330 | + | 10.6656i | −0.173163 | + | 0.550770i | |||||
5.50365 | + | 3.99864i | 0.283829 | + | 0.206214i | |||||
− | 4.83463i | − | 0.248996i | |||||||
0.183696 | − | 0.252836i | 0.00944829 | − | 0.0130045i | |||||
5.02204 | − | 15.4562i | 0.257965 | − | 0.793934i | −0.735266 | − | 0.677778i | ||
0.993231 | − | 0.116155i | ||||||||
−12.3475 | + | 4.05541i | −0.633414 | + | 0.208038i | |||||
1.13254 | − | 3.48561i | 0.0580219 | − | 0.178573i | |||||
−44.5684 | − | 14.4811i | −2.28032 | − | 0.740920i | |||||
−11.2220 | + | 3.64625i | −0.573418 | + | 0.186315i | −0.581350 | − | 0.813654i | ||
0.00793171 | + | 0.999969i | ||||||||
−2.65419 | + | 8.16876i | −0.135446 | + | 0.416860i | |||||
−0.352949 | + | 1.20870i | −0.0179879 | + | 0.0616009i | |||||
4.50382 | + | 13.8613i | 0.229239 | + | 0.705524i | |||||
0.841359 | + | 1.15803i | 0.0427687 | + | 0.0588660i | |||||
−3.76714 | + | 5.18502i | −0.191248 | + | 0.263230i | |||||
16.4315 | − | 11.9382i | 0.833111 | − | 0.605291i | −0.0873265 | − | 0.996180i | ||
0.920438 | + | 0.390889i | ||||||||
21.9081 | + | 15.8109i | 1.10936 | + | 0.800618i | |||||
1.76240 | + | 5.42410i | 0.0891283 | + | 0.274309i | |||||
−7.46778 | − | 2.42643i | −0.377180 | − | 0.122553i | |||||
−17.1198 | − | 5.56254i | −0.863577 | − | 0.280593i | |||||
−4.58478 | − | 14.1105i | −0.230978 | − | 0.710877i | |||||
23.6409 | − | 7.76460i | 1.18950 | − | 0.390679i | |||||
−3.65043 | + | 2.80508i | −0.183441 | + | 0.140960i | |||||
11.2736 | + | 15.5168i | 0.565808 | + | 0.778768i | 0.992050 | − | 0.125841i | ||
−0.426243 | + | 0.904609i | ||||||||
26.6293 | + | 8.65237i | 1.33480 | + | 0.433704i | |||||
0.219693 | − | 0.676144i | 0.0109984 | − | 0.0338495i | |||||
−19.7065 | − | 14.1270i | −0.985326 | − | 0.706348i | |||||
−3.93580 | + | 2.85952i | −0.196544 | + | 0.142798i | −0.681705 | − | 0.731627i | ||
0.485161 | + | 0.874425i | ||||||||
−12.5588 | + | 17.2858i | −0.626378 | + | 0.862136i | |||||
1.13454 | − | 1.56156i | 0.0565155 | − | 0.0777869i | |||||
−0.142345 | − | 0.438094i | −0.00708195 | − | 0.0217960i | |||||
−0.00711236 | − | 2.23606i | −0.000353416 | − | 0.111111i | |||||
0.186215 | + | 0.135293i | 0.00924172 | + | 0.00671450i | |||||
−7.73693 | − | 10.0686i | −0.383505 | − | 0.499080i | |||||
−0.687029 | + | 0.945614i | −0.0340130 | + | 0.0468149i | |||||
−20.2251 | + | 14.6944i | −1.00007 | + | 0.726592i | −0.962103 | − | 0.272687i | ||
−0.0379653 | + | 0.999279i | ||||||||
40.8042 | + | 29.4482i | 2.01518 | + | 1.45434i | |||||
10.3547 | − | 7.52314i | 0.510761 | − | 0.371089i | |||||
9.27745 | − | 3.01443i | 0.457067 | − | 0.148510i | |||||
−2.30992 | + | 0.750538i | −0.113664 | + | 0.0369315i | |||||
8.18424 | − | 5.94620i | 0.402234 | − | 0.292240i | |||||
9.88000 | + | 30.0816i | 0.484990 | + | 1.47665i | |||||
−35.4399 | + | 25.7486i | −1.73758 | + | 1.26243i | |||||
7.11588 | − | 9.79416i | 0.348466 | − | 0.479622i | |||||
−14.4641 | + | 21.0766i | −0.707464 | + | 1.03089i | |||||
15.5801 | + | 11.3196i | 0.761137 | + | 0.552998i | 0.899259 | − | 0.437417i | ||
−0.138122 | + | 0.990415i | ||||||||
−0.500674 | + | 0.164441i | −0.0244304 | + | 0.00802392i | |||||
−6.73317 | − | 20.7226i | −0.328155 | − | 1.00996i | −0.969996 | − | 0.243119i | ||
0.641842 | − | 0.766837i | ||||||||
−11.6831 | + | 16.0804i | −0.568725 | + | 0.782783i | |||||
3.55004 | − | 4.88621i | 0.172609 | − | 0.237575i | |||||
−2.01131 | + | 1.46131i | −0.0976781 | + | 0.0709673i | |||||
−3.07640 | − | 4.17815i | −0.149227 | − | 0.202670i | |||||
−1.25539 | + | 3.86368i | −0.0608237 | + | 0.187196i | |||||
2.23541 | + | 0.726328i | 0.108179 | + | 0.0351495i | |||||
0.606214 | + | 0.834382i | 0.0293025 | + | 0.0403314i | |||||
21.7633 | − | 0.584924i | 1.05074 | − | 0.0282404i | |||||
−0.0187393 | − | 5.89144i | −0.000903687 | − | 0.284110i | |||||
−5.26351 | − | 16.1994i | −0.253534 | − | 0.780298i | −0.994115 | − | 0.108331i | ||
0.740581 | − | 0.671967i | ||||||||
4.61206 | + | 1.49855i | 0.221898 | + | 0.0720989i | |||||
−14.7305 | − | 4.78624i | −0.707905 | − | 0.230012i | −0.0671334 | − | 0.997744i | ||
−0.640771 | + | 0.767732i | ||||||||
0.0283974 | + | 0.0873982i | 0.00136312 | + | 0.00419525i | |||||
1.64687 | − | 0.00523831i | 0.0789615 | − | 0.000251158i | |||||
5.35984 | − | 3.89415i | 0.256690 | − | 0.186496i | |||||
13.5267 | − | 18.6179i | 0.647070 | − | 0.890615i | |||||
15.7816 | + | 21.7215i | 0.754072 | + | 1.03789i | |||||
−0.0733759 | − | 0.225828i | −0.00350204 | − | 0.0107782i | 0.949290 | − | 0.314401i | ||
−0.952792 | + | 0.303623i | ||||||||
−8.34958 | + | 0.250988i | −0.398050 | + | 0.0119654i | |||||
−2.15421 | + | 6.62998i | −0.102581 | + | 0.315713i | |||||
−11.9246 | + | 3.87455i | −0.567197 | + | 0.184293i | |||||
−16.4961 | − | 5.35991i | −0.783753 | − | 0.254657i | −0.110311 | − | 0.993897i | ||
−0.673442 | + | 0.739240i | ||||||||
1.64221 | − | 5.05420i | 0.0779357 | − | 0.239861i | |||||
0.606918 | + | 0.829788i | 0.0287707 | + | 0.0393357i | |||||
−3.82510 | + | 11.7724i | −0.181124 | + | 0.557441i | |||||
8.60817 | − | 11.8481i | 0.407152 | − | 0.560397i | |||||
− | 0.438860i | − | 0.0207342i | |||||||
−31.1915 | − | 22.6619i | −1.47202 | − | 1.06948i | −0.980023 | − | 0.198884i | ||
−0.491993 | − | 0.870599i | ||||||||
−5.36212 | + | 7.47993i | −0.252773 | + | 0.352607i | |||||
40.5346 | − | 1.08943i | 1.90870 | − | 0.0512993i | |||||
11.5375 | − | 3.74876i | 0.542678 | − | 0.176327i | |||||
11.1866i | 0.525593i | |||||||||
7.73507 | + | 23.8061i | 0.363025 | + | 1.11728i | |||||
2.37262 | + | 0.762576i | 0.111230 | + | 0.0357501i | |||||
4.71637 | 0.220864 | |||||||||
5.19064 | + | 7.14430i | 0.242808 | + | 0.334196i | 0.912976 | − | 0.408013i | ||
−0.670168 | + | 0.742209i | ||||||||
−12.6776 | − | 4.11920i | −0.592386 | − | 0.192478i | |||||
0.839527 | + | 0.609952i | 0.0391857 | + | 0.0284701i | |||||
−17.0584 | + | 0.0542587i | −0.795352 | + | 0.00252982i | |||||
4.71859 | + | 14.5223i | 0.219766 | + | 0.676372i | 0.998781 | + | 0.0493655i | ||
−0.779014 | + | 0.627006i | ||||||||
−0.586501 | + | 0.854627i | −0.0272865 | + | 0.0397608i | |||||
6.31940 | + | 2.05330i | 0.293688 | + | 0.0954249i | 0.452155 | − | 0.891939i | ||
−0.158468 | + | 0.987364i | ||||||||
−1.10369 | + | 3.39682i | −0.0512376 | + | 0.157693i | |||||
0.533161 | + | 0.384779i | 0.0247248 | + | 0.0178437i | |||||
30.0321 | 1.39121 | |||||||||
− | 20.2368i | − | 0.936445i | −0.883611 | − | 0.468223i | ||||
0.883611 | − | 0.468223i | ||||||||
5.35569 | + | 7.37147i | 0.247567 | + | 0.340746i | |||||
−0.609034 | + | 1.87442i | −0.0281226 | + | 0.0865524i | |||||
−23.6173 | + | 7.75686i | −1.08938 | + | 0.357797i | |||||
9.36558 | 0.431543 | |||||||||
−9.47073 | − | 13.0353i | −0.435926 | − | 0.600001i | |||||
−2.89265 | − | 3.76440i | −0.133004 | − | 0.173087i | |||||
20.4833 | 0.940828 | |||||||||
−6.34285 | + | 19.9523i | −0.291030 | + | 0.915474i | |||||
0.0755743 | − | 0.232594i | 0.00346394 | − | 0.0106609i | |||||
1.29736 | + | 1.78567i | 0.0594022 | + | 0.0817601i | |||||
2.77748 | + | 0.902459i | 0.127039 | + | 0.0412775i | |||||
−7.80533 | + | 24.0223i | −0.356635 | + | 1.09761i | 0.598421 | + | 0.801182i | ||
−0.955056 | + | 0.296427i | ||||||||
−8.80942 | − | 12.0444i | −0.402093 | − | 0.549748i | |||||
−20.3319 | + | 14.7720i | −0.927056 | + | 0.673546i | |||||
−22.8208 | + | 31.4102i | −1.03946 | + | 1.43069i | |||||
0.548489 | − | 0.754930i | 0.0249571 | − | 0.0343505i | |||||
11.8528 | − | 9.62530i | 0.538762 | − | 0.437514i | |||||
3.22165 | + | 9.80895i | 0.146288 | + | 0.445401i | |||||
0.568798 | − | 1.75058i | 0.0258012 | − | 0.0794080i | |||||
−7.12353 | + | 9.80470i | −0.322798 | + | 0.444293i | −0.939319 | − | 0.343045i | ||
0.616521 | + | 0.787338i | ||||||||
15.5929i | 0.705855i | |||||||||
16.3046 | + | 11.8460i | 0.737319 | + | 0.535693i | |||||
23.1589 | − | 16.9387i | 1.04621 | − | 0.765213i | |||||
−17.0511 | −0.769506 | −0.384753 | − | 0.923019i | ||||||
−0.384753 | + | 0.923019i | ||||||||
9.97506 | + | 13.7295i | 0.449710 | + | 0.618973i | |||||
−0.449234 | + | 0.618318i | −0.0202325 | + | 0.0278476i | |||||
40.9306 | + | 29.7378i | 1.84155 | + | 1.33797i | |||||
0.222830 | + | 7.41285i | 0.0100154 | + | 0.333183i | |||||
−1.15362 | + | 0.838151i | −0.0517989 | + | 0.0376341i | |||||
0.374734i | 0.0168091i | |||||||||
26.0638i | 1.16795i | |||||||||
−8.26293 | − | 25.4307i | −0.369900 | − | 1.13843i | −0.946856 | − | 0.321659i | ||
0.576956 | − | 0.816775i | ||||||||
14.7131 | − | 4.93628i | 0.657989 | − | 0.220757i | |||||
−18.5544 | + | 13.4805i | −0.828949 | + | 0.602267i | |||||
−8.94737 | − | 12.3150i | −0.399341 | − | 0.549646i | |||||
21.2717 | − | 6.91161i | 0.948460 | − | 0.308173i | 0.206370 | − | 0.978474i | ||
0.742090 | + | 0.670301i | ||||||||
0.191242 | 0.00851861 | |||||||||
−0.706461 | − | 0.227061i | −0.0314371 | − | 0.0101041i | |||||
−26.6044 | + | 20.4435i | −1.18271 | + | 0.908823i | |||||
− | 30.0895i | − | 1.33632i | |||||||
−4.83826 | + | 1.57205i | −0.214663 | + | 0.0697483i | |||||
19.1469 | + | 13.9110i | 0.848672 | + | 0.616596i | 0.924779 | − | 0.380504i | ||
−0.0761078 | + | 0.997100i | ||||||||
−1.33275 | − | 4.05782i | −0.0590152 | − | 0.179683i | |||||
2.00363 | + | 1.45572i | 0.0886353 | + | 0.0643973i | |||||
20.3885 | − | 6.62462i | 0.901052 | − | 0.292770i | |||||
− | 4.18725i | − | 0.184871i | |||||||
4.59603 | 0.202722 | |||||||||
4.80844 | − | 14.9606i | 0.211885 | − | 0.659243i | |||||
0.613982 | − | 1.88964i | 0.0270290 | − | 0.0831868i | |||||
−11.3345 | + | 16.5162i | −0.498490 | + | 0.726382i | |||||
− | 1.19651i | − | 0.0525715i | |||||||
−4.71101 | − | 14.4990i | −0.206790 | − | 0.636435i | |||||
0.0525871 | + | 16.5329i | 0.00230609 | + | 0.725014i | |||||
−8.39742 | − | 6.10108i | −0.367898 | − | 0.267293i | 0.388441 | − | 0.921474i | ||
−0.756339 | + | 0.654180i | ||||||||
1.28932 | + | 0.418925i | 0.0564319 | + | 0.0183358i | |||||
−22.1299 | + | 30.4592i | −0.967672 | + | 1.33189i | −0.0244586 | + | 0.999701i | ||
−0.943214 | + | 0.332186i | ||||||||
7.72119 | + | 23.7634i | 0.337302 | + | 1.03811i | |||||
−0.257194 | + | 0.809038i | −0.0112249 | + | 0.0353093i | |||||
7.42875 | + | 5.39730i | 0.323909 | + | 0.235334i | |||||
−0.290201 | + | 0.0942920i | −0.0126413 | + | 0.00410742i | |||||
−15.4245 | − | 4.55736i | −0.671264 | − | 0.198334i | |||||
5.82957 | − | 4.23543i | 0.253460 | − | 0.184149i | |||||
−0.0288957 | − | 9.08452i | −0.00125515 | − | 0.394606i | |||||
−11.5729 | + | 8.40823i | −0.502222 | + | 0.364886i | |||||
−0.938534 | + | 0.304948i | −0.0406906 | + | 0.0132212i | |||||
− | 80.2550i | − | 3.47623i | |||||||
0.261511 | + | 0.804848i | 0.0113167 | + | 0.0348292i | |||||
1.66142 | − | 0.00528458i | 0.0718295 | − | 0.000228472i | |||||
−13.0748 | −0.564744 | |||||||||
−5.46327 | − | 7.51954i | −0.235757 | − | 0.324492i | |||||
−9.06881 | − | 2.94663i | −0.390984 | − | 0.127038i | |||||
6.55135 | − | 22.1732i | 0.282187 | − | 0.955066i | |||||
−2.50522 | + | 1.83235i | −0.107808 | + | 0.0788520i | |||||
−12.2679 | + | 8.91312i | −0.527437 | + | 0.383205i | −0.819398 | − | 0.573225i | ||
0.291961 | + | 0.956430i | ||||||||
−17.2394 | − | 23.7280i | −0.740496 | − | 1.01921i | |||||
−3.57154 | + | 1.16046i | −0.153270 | + | 0.0498003i | |||||
6.92509 | 0.296911 | |||||||||
−0.0339467 | − | 10.6725i | −0.00145412 | − | 0.457160i | |||||
1.65968 | + | 1.20583i | 0.0710277 | + | 0.0516046i | |||||
−10.4861 | + | 3.40715i | −0.448354 | + | 0.145679i | −0.524487 | − | 0.851419i | ||
0.0761327 | + | 0.997098i | ||||||||
−16.8965 | − | 5.49002i | −0.721784 | − | 0.234522i | |||||
13.8435 | 0.590827 | |||||||||
17.1112 | − | 25.2770i | 0.729624 | − | 1.07781i | |||||
3.08394 | 0.131380 | |||||||||
5.88749 | + | 1.91296i | 0.250588 | + | 0.0814211i | |||||
1.79694 | − | 0.583862i | 0.0764137 | − | 0.0248283i | |||||
−33.0168 | − | 23.9881i | −1.40275 | − | 1.01916i | |||||
−5.05398 | − | 6.90988i | −0.214530 | − | 0.293308i | |||||
−16.8043 | −0.712661 | |||||||||
2.99540 | − | 0.973265i | 0.126919 | − | 0.0412385i | −0.244869 | − | 0.969556i | ||
0.371788 | + | 0.928318i | ||||||||
0.318134 | + | 0.437874i | 0.0134677 | + | 0.0185367i | |||||
−7.60162 | + | 5.52290i | −0.321514 | + | 0.233594i | |||||
−1.49292 | − | 1.07743i | −0.0630873 | − | 0.0455297i | |||||
−2.83774 | − | 1.94744i | −0.119810 | − | 0.0822211i | |||||
41.6896 | + | 13.5458i | 1.75857 | + | 0.571394i | |||||
−14.1738 | − | 19.5086i | −0.597354 | − | 0.822188i | 0.398108 | − | 0.917338i | ||
−0.995463 | + | 0.0951505i | ||||||||
−8.38349 | −0.353009 | |||||||||
5.97981 | − | 18.6051i | 0.251573 | − | 0.782723i | |||||
0.482124 | + | 1.48383i | 0.0202652 | + | 0.0623698i | |||||
− | 0.169787i | − | 0.00713038i | |||||||
−2.36431 | + | 0.768211i | −0.0992043 | + | 0.0322334i | |||||
12.0524 | − | 8.75661i | 0.505264 | − | 0.367096i | −0.305760 | − | 0.952109i | ||
0.811024 | + | 0.585013i | ||||||||
−10.0856 | + | 13.9749i | −0.422438 | + | 0.585342i | |||||
−20.2290 | + | 14.6972i | −0.846558 | + | 0.615060i | −0.924195 | − | 0.381921i | ||
0.0776369 | + | 0.996982i | ||||||||
−18.4132 | − | 23.9623i | −0.769897 | − | 1.00192i | |||||
−24.2131 | + | 7.86732i | −1.01152 | + | 0.328662i | |||||
3.09118 | + | 2.24587i | 0.129023 | + | 0.0937410i | |||||
−16.0105 | + | 22.3340i | −0.667685 | + | 0.931392i | |||||
−0.798737 | − | 2.45826i | −0.0332807 | − | 0.102427i | |||||
11.5147 | − | 15.8486i | 0.479362 | − | 0.659785i | −0.499020 | − | 0.866590i | ||
0.978382 | + | 0.206806i | ||||||||
−27.8748 | − | 9.05707i | −1.15944 | − | 0.376724i | |||||
6.40591 | + | 4.65416i | 0.266220 | + | 0.193420i | |||||
−1.34954 | − | 1.84512i | −0.0560367 | − | 0.0766143i | |||||
0.742930 | + | 2.28650i | 0.0308219 | + | 0.0948602i | |||||
8.49881i | 0.352287i | |||||||||
−4.46043 | − | 5.80465i | −0.184732 | − | 0.240404i | |||||
−5.07711 | + | 15.6257i | −0.210092 | + | 0.646598i | |||||
14.6781 | − | 0.0466874i | 0.606863 | − | 0.00193029i | |||||
−15.8470 | −0.654634 | |||||||||
35.4324i | 1.46245i | 0.682135 | + | 0.731226i | ||||||
−0.682135 | + | 0.731226i | ||||||||
9.20286 | − | 2.99019i | 0.379520 | − | 0.123313i | |||||
0.996097 | + | 0.723707i | 0.0410435 | + | 0.0298198i | |||||
58.8769 | − | 0.187273i | 2.42392 | − | 0.00770991i | |||||
−6.52105 | − | 4.73782i | −0.268240 | − | 0.194888i | |||||
17.6575 | − | 5.73727i | 0.725719 | − | 0.235801i | |||||
− | 14.2924i | − | 0.586919i | −0.955971 | − | 0.293460i | ||||
0.955971 | − | 0.293460i | ||||||||
−1.72982 | + | 5.85461i | −0.0709754 | + | 0.240218i | |||||
−0.232584 | − | 0.317993i | −0.00953502 | − | 0.0130364i | |||||
−20.3284 | −0.832683 | |||||||||
14.4672 | − | 4.70066i | 0.592101 | − | 0.192385i | |||||
39.0324 | + | 53.7235i | 1.59615 | + | 2.19692i | |||||
−0.110576 | + | 0.0803381i | −0.00451801 | + | 0.00328253i | −0.590042 | − | 0.807373i | ||
0.585524 | + | 0.810655i | ||||||||
−5.63171 | + | 0.0358266i | −0.229914 | + | 0.00146262i | |||||
−6.36934 | − | 19.6028i | −0.259811 | − | 0.799616i | −0.992844 | − | 0.119422i | ||
0.733033 | − | 0.680193i | ||||||||
− | 0.447345i | − | 0.0182324i | |||||||
11.6079i | 0.472712i | |||||||||
12.5622 | − | 9.12699i | 0.511150 | − | 0.371372i | |||||
−1.39931 | − | 24.5569i | −0.0568902 | − | 0.998380i | |||||
−0.494179 | − | 0.359042i | −0.0200746 | − | 0.0145851i | |||||
16.5997 | − | 22.8475i | 0.673759 | − | 0.927350i | −0.326079 | − | 0.945343i | ||
0.999838 | + | 0.0179925i | ||||||||
−16.4246 | − | 22.6066i | −0.666107 | − | 0.916818i | |||||
0.125049 | 0.00506726 | |||||||||
−46.2025 | − | 33.3440i | −1.87068 | − | 1.35006i | |||||
32.0743 | + | 23.3034i | 1.29759 | + | 0.942753i | |||||
− | 1.44041i | − | 0.0582253i | |||||||
25.4451 | − | 35.0221i | 1.02772 | − | 1.41453i | 0.121068 | − | 0.992644i | ||
0.906649 | − | 0.421886i | ||||||||
12.3401 | − | 37.9790i | 0.498008 | − | 1.53271i | |||||
27.3381 | − | 0.0869561i | 1.10238 | − | 0.00350641i | |||||
−0.634050 | + | 0.0170411i | −0.0255466 | + | 0.000686605i | |||||
16.9406 | − | 23.3167i | 0.682003 | − | 0.938696i | −0.317953 | − | 0.948106i | ||
0.999956 | + | 0.00941037i | ||||||||
7.60337 | − | 10.4651i | 0.305852 | − | 0.420970i | |||||
−19.8287 | + | 14.4064i | −0.796981 | + | 0.579041i | −0.910027 | − | 0.414549i | ||
0.113046 | + | 0.993590i | ||||||||
−0.00290295 | − | 0.912660i | −0.000116585 | − | 0.0366533i | |||||
1.69835 | − | 5.22698i | 0.0681524 | − | 0.209752i | |||||
12.5520 | + | 4.07838i | 0.503288 | + | 0.163528i | |||||
0.0458833 | + | 0.0631529i | 0.00183828 | + | 0.00253017i | |||||
−9.83686 | + | 30.2747i | −0.393790 | + | 1.21196i | |||||
7.42230 | − | 23.8728i | 0.296892 | − | 0.954911i | |||||
−24.9033 | −0.995337 | |||||||||
0.373114 | + | 13.8825i | 0.0149008 | + | 0.554414i | |||||
−7.64124 | − | 10.5173i | −0.304919 | − | 0.419685i | |||||
3.97294 | 0.158411 | |||||||||
−0.408956 | + | 0.566661i | −0.0162932 | + | 0.0225763i | |||||
2.16032 | − | 6.64878i | 0.0860010 | − | 0.264684i | −0.898803 | − | 0.438352i | ||
0.984804 | + | 0.173669i | ||||||||
7.36752 | + | 10.1405i | 0.293064 | + | 0.403368i | |||||
10.7985i | 0.429202i | |||||||||
−33.4662 | −1.32911 | |||||||||
−2.50764 | + | 7.80207i | −0.0995126 | + | 0.309616i | |||||
0.946752 | − | 2.91380i | 0.0375411 | − | 0.115540i | |||||
−43.5209 | − | 14.1408i | −1.72436 | − | 0.560279i | |||||
−4.31197 | − | 1.27403i | −0.170712 | − | 0.0504392i | |||||
0.682027 | + | 2.09906i | 0.0269806 | + | 0.0830376i | |||||
5.87682 | − | 18.2847i | 0.232302 | − | 0.722766i | |||||
28.7440 | + | 20.8837i | 1.13532 | + | 0.824858i | 0.986460 | − | 0.164001i | ||
0.148859 | + | 0.988858i | ||||||||
1.30071 | + | 0.422625i | 0.0513348 | + | 0.0166797i | |||||
−17.8094 | − | 24.5126i | −0.702336 | − | 0.966682i | −0.999928 | − | 0.0119894i | ||
0.297592 | − | 0.954693i | ||||||||
−1.29527 | −0.0510407 | |||||||||
−1.88956 | − | 2.58344i | −0.0744014 | − | 0.101723i | |||||
−2.47152 | − | 7.60655i | −0.0972406 | − | 0.299276i | |||||
3.20788i | 0.126115i | 0.998010 | + | 0.0630574i | ||||||
−0.998010 | + | 0.0630574i | ||||||||
1.07124 | − | 0.348066i | 0.0420822 | − | 0.0136733i | |||||
37.6200 | − | 28.9081i | 1.47671 | − | 1.13474i | |||||
−49.1002 | − | 35.1984i | −1.92587 | − | 1.38059i | |||||
0.0403904 | + | 0.0293453i | 0.00158302 | + | 0.00115013i | |||||
− | 27.9745i | − | 1.09557i | |||||||
−1.24524 | + | 1.71393i | −0.0487300 | + | 0.0670711i | −0.832687 | − | 0.553744i | ||
0.783957 | + | 0.620816i | ||||||||
2.71483 | − | 8.35538i | 0.106158 | − | 0.326721i | |||||
38.3203 | + | 12.3164i | 1.49730 | + | 0.481242i | |||||
−18.3213 | + | 56.3872i | −0.715327 | + | 2.20155i | |||||
13.8727 | + | 4.50752i | 0.541226 | + | 0.175855i | |||||
−1.79515 | + | 0.583280i | −0.0699823 | + | 0.0227386i | |||||
11.7034 | − | 36.0195i | 0.455901 | − | 1.40312i | −0.414172 | − | 0.910198i | ||
0.870074 | − | 0.492922i | ||||||||
8.14261 | − | 6.29827i | 0.316951 | − | 0.245160i | |||||
−5.41391 | − | 16.6623i | −0.210577 | − | 0.648088i | −0.999438 | − | 0.0335171i | ||
0.788862 | − | 0.614571i | ||||||||
17.9973 | + | 24.7712i | 0.699486 | + | 0.962760i | |||||
−4.00388 | + | 5.51087i | −0.155498 | + | 0.214025i | |||||
−12.9032 | + | 9.37474i | −0.500742 | + | 0.363810i | |||||
−0.486436 | + | 1.51346i | −0.0188632 | + | 0.0586894i | |||||
−2.17768 | − | 6.70220i | −0.0843833 | − | 0.259705i | |||||
3.84971 | + | 1.25085i | 0.149062 | + | 0.0484330i | |||||
30.2765 | + | 9.83744i | 1.17143 | + | 0.380622i | |||||
2.07810 | + | 6.39573i | 0.0803440 | + | 0.247273i | |||||
27.9593 | − | 38.7413i | 1.08016 | − | 1.49671i | |||||
−45.8972 | + | 1.23356i | −1.77184 | + | 0.0476210i | |||||
−0.665996 | − | 0.916665i | −0.0256914 | − | 0.0353611i | |||||
24.7789 | + | 8.05116i | 0.955158 | + | 0.310350i | 0.744810 | − | 0.667277i | ||
0.210348 | + | 0.977627i | ||||||||
11.0002 | − | 33.8552i | 0.423713 | − | 1.30405i | |||||
0.0318073 | + | 4.99990i | 0.00122426 | + | 0.192446i | |||||
−33.7896 | + | 24.5496i | −1.29960 | + | 0.944216i | |||||
−18.0136 | + | 24.7936i | −0.692320 | + | 0.952896i | 0.307679 | + | 0.951490i | ||
−0.999999 | + | 0.00140604i | ||||||||
9.45561 | − | 13.0145i | 0.363140 | − | 0.499820i | |||||
0.242253 | + | 0.745578i | 0.00929682 | + | 0.0286127i | |||||
1.52951 | − | 2.11933i | 0.0586540 | − | 0.0812727i | |||||
11.0018 | + | 7.99327i | 0.421590 | + | 0.306303i | |||||
−1.09377 | − | 1.42339i | −0.0418826 | − | 0.0545045i | |||||
−5.48949 | + | 7.55563i | −0.210049 | + | 0.289108i | −0.901023 | − | 0.433772i | ||
0.690973 | + | 0.722880i | ||||||||
−4.70215 | + | 3.41631i | −0.179791 | + | 0.130626i | |||||
−23.1002 | + | 16.8958i | −0.882614 | + | 0.645556i | |||||
3.53241 | − | 2.56645i | 0.134868 | − | 0.0979873i | |||||
−6.88749 | + | 2.23788i | −0.262774 | + | 0.0853805i | |||||
6.60172 | − | 2.14503i | 0.251688 | − | 0.0817785i | |||||
−11.7216 | + | 8.51623i | −0.446557 | + | 0.324443i | |||||
−18.2581 | + | 13.3542i | −0.695075 | + | 0.508388i | |||||
−5.99100 | + | 4.35272i | −0.227908 | + | 0.165585i | −0.695879 | − | 0.718159i | ||
0.467971 | + | 0.883744i | ||||||||
−12.4383 | + | 17.1198i | −0.472833 | + | 0.650799i | |||||
0.0151293 | + | 0.562917i | 0.000574713 | + | 0.0213834i | |||||
6.41543 | + | 4.66108i | 0.243526 | + | 0.176932i | |||||
−15.8418 | + | 21.9509i | −0.600915 | + | 0.832646i | |||||
0.256353 | + | 0.788975i | 0.00971705 | + | 0.0299060i | |||||
−7.45730 | + | 10.2641i | −0.282465 | + | 0.388780i | |||||
−26.4975 | + | 36.4706i | −1.00294 | + | 1.38043i | |||||
13.1998 | − | 9.59022i | 0.499263 | − | 0.362736i | |||||
1.11837 | − | 0.371261i | 0.0422703 | − | 0.0140324i | |||||
2.56749 | − | 7.90192i | 0.0969727 | − | 0.298451i | −0.890790 | − | 0.454415i | ||
0.987763 | + | 0.155964i | ||||||||
11.4913 | + | 3.73374i | 0.433710 | + | 0.140921i | |||||
−9.42285 | − | 12.9694i | −0.355389 | − | 0.489152i | |||||
2.86720 | + | 8.07901i | 0.108062 | + | 0.304489i | |||||
−7.90333 | + | 10.9511i | −0.297657 | + | 0.412442i | |||||
7.23667 | + | 22.2722i | 0.272356 | + | 0.838225i | |||||
−0.0535872 | − | 0.0174115i | −0.00201535 | − | 0.000654828i | |||||
18.8844 | + | 6.13591i | 0.709718 | + | 0.230602i | |||||
10.2149 | + | 31.4382i | 0.383628 | + | 1.18069i | 0.937470 | + | 0.348065i | ||
−0.553842 | + | 0.832622i | ||||||||
2.77964 | − | 8.64834i | 0.104318 | − | 0.324566i | |||||
9.00287 | − | 6.54096i | 0.337634 | − | 0.245305i | |||||
−0.304389 | + | 0.418956i | −0.0114075 | + | 0.0157010i | |||||
0.949902 | + | 1.30743i | 0.0355741 | + | 0.0489636i | |||||
−0.100217 | − | 0.308435i | −0.00375051 | − | 0.0115429i | |||||
−48.6599 | + | 1.46271i | −1.81978 | + | 0.0547023i | |||||
−3.98682 | + | 12.2702i | −0.148995 | + | 0.458558i | |||||
1.50895 | − | 0.490288i | 0.0563528 | − | 0.0183101i | |||||
−55.2354 | − | 17.9471i | −2.06137 | − | 0.669779i | |||||
6.90112 | − | 21.2395i | 0.257368 | − | 0.792098i | −0.735986 | − | 0.676997i | ||
0.993354 | − | 0.115101i | ||||||||
−10.3235 | − | 3.31804i | −0.384733 | − | 0.123656i | |||||
0.368721 | − | 1.13481i | 0.0137319 | − | 0.0422624i | |||||
1.58714 | − | 2.18451i | 0.0590673 | − | 0.0812991i | |||||
21.0929i | 0.784454i | |||||||||
4.21714 | + | 3.06393i | 0.156729 | + | 0.113870i | |||||
−3.68247 | + | 0.0234263i | −0.136763 | + | 0.000870032i | |||||
5.21341 | − | 19.5647i | 0.193488 | − | 0.726113i | |||||
40.3074 | − | 13.0967i | 1.49492 | − | 0.485729i | 0.556388 | − | 0.830923i | ||
0.938531 | + | 0.345194i | ||||||||
1.25536i | 0.0465269i | |||||||||
−0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | |||||
−35.4430 | − | 48.4582i | −1.31180 | − | 1.79352i | |||||
1.48539 | 0.0549390 | |||||||||
−11.2947 | − | 15.5459i | −0.417465 | − | 0.574591i | |||||
−12.6821 | − | 4.12068i | −0.468425 | − | 0.152201i | 0.0652872 | − | 0.997867i | ||
−0.533713 | + | 0.845666i | ||||||||
−14.3528 | − | 10.4279i | −0.529770 | − | 0.384901i | |||||
4.76978 | − | 14.8403i | 0.175936 | − | 0.547394i | |||||
−11.3338 | − | 34.8819i | −0.417770 | − | 1.28576i | |||||
−1.03435 | − | 38.4853i | −0.0381009 | − | 1.41762i | |||||
21.4027 | + | 6.95416i | 0.787844 | + | 0.255986i | |||||
7.65463 | − | 23.5585i | 0.281580 | − | 0.866614i | −0.705823 | − | 0.708388i | ||
0.987403 | − | 0.158226i | ||||||||
−3.63612 | + | 11.3131i | −0.133666 | + | 0.415880i | |||||
27.4862 | 1.00973 | |||||||||
− | 0.689801i | − | 0.0253234i | |||||||
10.1482 | + | 13.9678i | 0.372303 | + | 0.512431i | 0.953525 | − | 0.301314i | ||
−0.581222 | + | 0.813745i | ||||||||
−0.102347 | + | 0.314993i | −0.00375224 | + | 0.0115482i | |||||
−19.1641 | + | 26.5543i | −0.702117 | + | 0.972874i | |||||
56.7188 | 2.07662 | |||||||||
8.32300 | + | 11.4556i | 0.304523 | + | 0.419139i | |||||
0.128352 | + | 4.77559i | 0.00469300 | + | 0.174613i | |||||
0.126154 | 0.00460957 | |||||||||
11.9368 | − | 16.7637i | 0.435870 | − | 0.612123i | |||||
−1.49197 | + | 4.59180i | −0.0544426 | + | 0.167557i | −0.974581 | − | 0.224037i | ||
0.920138 | + | 0.391594i | ||||||||
−17.2156 | − | 23.6952i | −0.627787 | − | 0.864074i | |||||
−7.86515 | − | 2.55554i | −0.286622 | − | 0.0931292i | |||||
−2.74993 | + | 8.46342i | −0.100147 | + | 0.308219i | |||||
−0.0795632 | − | 25.0139i | −0.00289560 | − | 0.910348i | |||||
−0.190666 | + | 0.138527i | −0.00693445 | + | 0.00503817i | |||||
27.7779 | − | 38.2329i | 1.00960 | − | 1.38960i | 0.0903603 | − | 0.995909i | ||
0.919243 | − | 0.393691i | ||||||||
−17.5830 | + | 24.2009i | −0.638642 | + | 0.879016i | |||||
−5.16499 | + | 17.4810i | −0.187477 | + | 0.634521i | |||||
−10.5461 | + | 0.0335445i | −0.382546 | + | 0.00121679i | |||||
3.00956 | − | 9.26247i | 0.109096 | − | 0.335764i | −0.881574 | − | 0.472047i | ||
0.990670 | + | 0.136282i | ||||||||
−3.96522 | + | 5.45765i | −0.143645 | + | 0.197710i | |||||
− | 0.810379i | − | 0.0293377i | |||||||
28.5899 | + | 20.7718i | 1.03435 | + | 0.751497i | |||||
−1.88157 | − | 1.35792i | −0.0680282 | − | 0.0490956i | |||||
21.7190 | 0.784741 | |||||||||
−55.1938 | − | 75.9677i | −1.99293 | − | 2.74304i | |||||
12.3313 | − | 16.9726i | 0.444969 | − | 0.612447i | |||||
0.0643186 | + | 0.0467302i | 0.00231939 | + | 0.00168513i | 0.588944 | − | 0.808174i | ||
−0.586625 | + | 0.809859i | ||||||||
1.30537 | − | 1.91517i | 0.0470423 | − | 0.0690178i | |||||
2.02006 | − | 1.46766i | 0.0727507 | − | 0.0528565i | |||||
− | 10.9909i | − | 0.395572i | |||||||
− | 28.5769i | − | 1.02784i | −0.857839 | − | 0.513919i | ||||
0.857839 | − | 0.513919i | ||||||||
−0.814181 | − | 2.50579i | −0.0292651 | − | 0.0900688i | |||||
−1.19492 | − | 0.856596i | −0.0429226 | − | 0.0307698i | |||||
−4.20745 | + | 3.05689i | −0.151039 | + | 0.109736i | |||||
−0.382083 | − | 0.525893i | −0.0137072 | − | 0.0188663i | |||||
−35.5552 | + | 11.5526i | −1.27471 | + | 0.414180i | |||||
51.1935 | 1.83420 | |||||||||
−12.0280 | − | 16.4449i | −0.430673 | − | 0.588823i | |||||
−2.44825 | − | 6.89852i | −0.0876053 | − | 0.246848i | |||||
− | 10.4978i | − | 0.375400i | |||||||
0.700461 | − | 0.227593i | 0.0250324 | − | 0.00813353i | |||||
27.3496 | + | 19.8707i | 0.976773 | + | 0.709667i | |||||
−20.9420 | + | 0.0666113i | −0.747451 | + | 0.00237746i | |||||
26.8056 | + | 19.4754i | 0.956123 | + | 0.694664i | |||||
16.5535 | − | 5.37857i | 0.590070 | − | 0.191725i | 0.00126306 | − | 0.999999i | ||
0.588807 | + | 0.808274i | ||||||||
11.1885i | 0.398573i | |||||||||
4.98864 | 0.177600 | |||||||||
−45.8017 | + | 0.145684i | −1.62955 | + | 0.00518322i | |||||
0.458545 | − | 1.41126i | 0.0163040 | − | 0.0501785i | |||||
−3.52059 | + | 1.24944i | −0.125099 | + | 0.0443970i | |||||
90.8724i | 3.22697i | |||||||||
−10.9095 | − | 33.5759i | −0.387163 | − | 1.19156i | |||||
−2.91368 | − | 3.98363i | −0.103338 | − | 0.141285i | |||||
−17.0822 | − | 12.4110i | −0.605464 | − | 0.439896i | |||||
38.6615 | + | 12.5619i | 1.36946 | + | 0.444965i | 0.899191 | − | 0.437557i | ||
0.470271 | + | 0.882522i | ||||||||
−0.769180 | + | 1.05868i | −0.0272287 | + | 0.0374770i | |||||
−1.93675 | − | 5.96070i | −0.0685173 | − | 0.210874i | |||||
19.7840 | + | 26.8693i | 0.699471 | + | 0.949971i | |||||
0.371954 | + | 0.270240i | 0.0131423 | + | 0.00954847i | |||||
8.51643 | − | 2.76716i | 0.300726 | − | 0.0977116i | |||||
−46.3956 | − | 13.7082i | −1.63727 | − | 0.483752i | |||||
13.0354 | − | 9.47075i | 0.459722 | − | 0.334008i | |||||
−1.22108 | + | 1.69197i | −0.0430375 | + | 0.0596340i | |||||
−2.87432 | + | 2.08832i | −0.101244 | + | 0.0735578i | |||||
−4.92690 | + | 1.60085i | −0.173435 | + | 0.0563525i | |||||
− | 0.373792i | − | 0.0131499i | |||||||
−13.6739 | − | 42.0839i | −0.480748 | − | 1.47959i | −0.838046 | − | 0.545600i | ||
0.357297 | − | 0.933991i | ||||||||
−1.25941 | + | 3.91845i | −0.0442513 | + | 0.137680i | |||||
48.8543 | 1.71551 | 0.857754 | − | 0.514061i | ||||||
0.857754 | + | 0.514061i | ||||||||
−0.102026 | − | 0.140427i | −0.00358041 | − | 0.00492802i | |||||
−15.1542 | − | 4.92391i | −0.531482 | − | 0.172689i | |||||
7.81714 | + | 22.0266i | 0.273991 | + | 0.772032i | |||||
−36.5422 | − | 26.3723i | −1.28002 | − | 0.923782i | |||||
4.07120 | − | 2.95790i | 0.142521 | − | 0.103547i | |||||
−3.52298 | − | 4.84896i | −0.123253 | − | 0.169644i | |||||
43.7639 | − | 14.2198i | 1.53017 | − | 0.497182i | |||||
1.11453 | 0.0389447 | |||||||||
−22.4024 | − | 30.6290i | −0.782327 | − | 1.06961i | |||||
8.61385 | + | 6.25833i | 0.300626 | + | 0.218417i | 0.727864 | − | 0.685722i | ||
−0.427238 | + | 0.904139i | ||||||||
−22.4059 | + | 7.28013i | −0.781497 | + | 0.253924i | |||||
25.4043 | + | 8.25436i | 0.885538 | + | 0.287729i | 0.716255 | − | 0.697839i | ||
0.169283 | + | 0.985567i | ||||||||
7.91573 | 0.275757 | |||||||||
−0.550982 | − | 16.5740i | −0.0191827 | − | 0.577032i | |||||
4.47060 | 0.155552 | |||||||||
32.5497 | + | 10.5761i | 1.13187 | + | 0.367765i | 0.814285 | − | 0.580466i | ||
0.317581 | + | 0.948231i | ||||||||
−7.25541 | + | 2.35742i | −0.252143 | + | 0.0819262i | |||||
−19.8391 | − | 14.4139i | −0.689039 | − | 0.500616i | 0.187305 | − | 0.982302i | ||
−0.876344 | + | 0.481685i | ||||||||
−0.185375 | − | 58.2801i | −0.00643446 | − | 2.02293i | |||||
−22.1718 | −0.769132 | |||||||||
16.1367 | − | 5.24312i | 0.559438 | − | 0.181772i | |||||
4.25208 | + | 5.85249i | 0.147326 | + | 0.202777i | |||||
−18.0278 | + | 13.0980i | −0.624253 | + | 0.453546i | |||||
41.3928 | − | 30.2752i | 1.43246 | − | 1.04772i | |||||
15.2852 | − | 11.7455i | 0.528651 | − | 0.406228i | |||||
0.279655 | + | 0.0908653i | 0.00966627 | + | 0.00314076i | |||||
−20.8356 | − | 28.6778i | −0.719755 | − | 0.990658i | |||||
50.0182 | 1.72682 | 0.863410 | − | 0.504503i | ||||||
0.863410 | + | 0.504503i | ||||||||
−0.427628 | + | 0.00136018i | −0.0147546 | + | 4.69308e-5i | |||||
−8.79387 | − | 27.0647i | −0.303237 | − | 0.933267i | |||||
40.1064i | 1.38216i | |||||||||
22.6491 | − | 7.35915i | 0.780078 | − | 0.253463i | |||||
12.1264 | − | 8.81036i | 0.417408 | − | 0.303265i | |||||
0.214008 | + | 67.2819i | 0.00736208 | + | 2.31457i | |||||
−8.99390 | + | 6.53445i | −0.309217 | + | 0.224659i | |||||
−0.100320 | − | 1.86496i | −0.00344704 | − | 0.0640808i | |||||
10.1798 | − | 3.30761i | 0.349575 | − | 0.113584i | |||||
0.685738 | + | 0.498218i | 0.0235345 | + | 0.0170988i | |||||
3.00897 | + | 9.06404i | 0.103207 | + | 0.310894i | |||||
−6.50223 | − | 20.0118i | −0.222893 | − | 0.685996i | |||||
1.80073 | − | 2.47849i | 0.0616920 | − | 0.0849117i | |||||
−13.9458 | − | 4.53125i | −0.477494 | − | 0.155147i | 0.0603749 | − | 0.998176i | ||
−0.537869 | + | 0.843029i | ||||||||
−3.50013 | − | 2.54299i | −0.119772 | − | 0.0870195i | |||||
0.0297812 | + | 9.36292i | 0.00101850 | + | 0.320205i | |||||
0.258618 | + | 0.795944i | 0.00883937 | + | 0.0272048i | |||||
33.8924i | 1.15774i | 0.815419 | + | 0.578872i | ||||||
−0.815419 | + | 0.578872i | ||||||||
−38.4312 | − | 11.3550i | −1.31202 | − | 0.387653i | |||||
8.55901 | − | 26.3419i | 0.292030 | − | 0.898775i | −0.692173 | − | 0.721731i | ||
0.984203 | − | 0.177044i | ||||||||
−1.35946 | + | 4.22971i | −0.0463571 | + | 0.144232i | |||||
2.07582 | 0.0707439 | |||||||||
31.3523i | 1.06786i | |||||||||
−24.9315 | + | 8.10073i | −0.848678 | + | 0.275752i | −0.700892 | − | 0.713267i | ||
−0.147786 | + | 0.989019i | ||||||||
−5.39891 | − | 3.92254i | −0.183675 | − | 0.133448i | |||||
10.6372 | + | 32.3871i | 0.361676 | + | 1.10119i | |||||
23.0646 | + | 16.7574i | 0.783767 | + | 0.569440i | |||||
−15.1438 | + | 4.92053i | −0.514311 | + | 0.167110i | |||||
− | 0.0692996i | − | 0.00235218i | |||||||
−29.2655 | + | 22.4883i | −0.992764 | + | 0.762864i | |||||
−2.88597 | − | 0.927569i | −0.0978434 | − | 0.0314475i | |||||
−76.1975 | −2.58185 | |||||||||
5.11292 | − | 1.66129i | 0.173145 | − | 0.0562583i | |||||
2.71394 | + | 3.73542i | 0.0918531 | + | 0.126425i | |||||
−34.2694 | + | 24.8982i | −1.15918 | + | 0.842194i | |||||
0.569346 | − | 1.81088i | 0.0192474 | − | 0.0612190i | |||||
−6.25674 | − | 19.2563i | −0.211396 | − | 0.650609i | |||||
− | 18.0791i | − | 0.610488i | −0.952274 | − | 0.305244i | ||||
0.952274 | − | 0.305244i | ||||||||
0.437066i | 0.0147503i | |||||||||
−6.96513 | + | 5.06046i | −0.234928 | + | 0.170685i | |||||
34.5224 | + | 10.0808i | 1.16375 | + | 0.339824i | |||||
−1.18473 | − | 0.860754i | −0.0399144 | − | 0.0289995i | 0.567649 | − | 0.823271i | ||
−0.607564 | + | 0.794271i | ||||||||
7.54224 | − | 10.3810i | 0.253961 | − | 0.349547i | |||||
22.7800 | + | 31.3540i | 0.766609 | + | 1.05515i | 0.996635 | + | 0.0819624i | ||
−0.230026 | + | 0.973184i | ||||||||
9.45526 | 0.318015 | |||||||||
25.8179 | − | 18.8836i | 0.867860 | − | 0.634765i | |||||
25.8291 | + | 18.7659i | 0.867744 | + | 0.630453i | |||||
35.4553i | 1.19047i | 0.803551 | + | 0.595235i | ||||||
−0.803551 | + | 0.595235i | ||||||||
2.53474 | − | 3.48877i | 0.0850602 | − | 0.117075i | |||||
−0.192291 | + | 0.591811i | −0.00644924 | + | 0.0198487i | |||||
−0.590478 | − | 1.79783i | −0.0197929 | − | 0.0602632i | |||||
1.10927 | + | 3.12562i | 0.0371619 | + | 0.104712i | |||||
5.48673 | − | 7.55183i | 0.183709 | − | 0.252854i | |||||
−14.8649 | + | 20.4597i | −0.497434 | + | 0.684659i | |||||
−21.8085 | + | 15.8448i | −0.729385 | + | 0.529929i | |||||
12.2697 | + | 16.7753i | 0.410129 | + | 0.560735i | |||||
0.450647 | − | 1.38695i | 0.0150551 | − | 0.0463347i | |||||
34.3113 | + | 11.1484i | 1.14562 | + | 0.372235i | |||||
41.7131 | + | 57.4132i | 1.39199 | + | 1.91590i | |||||
−0.0669230 | + | 0.205968i | −0.00223201 | + | 0.00686941i | |||||
5.58879 | − | 4.11507i | 0.186293 | − | 0.137169i | |||||
2.29045 | 0.0763058 | |||||||||
−71.5788 | − | 21.1489i | −2.38331 | − | 0.704180i | |||||
−0.142852 | − | 0.196619i | −0.00475381 | − | 0.00654306i | |||||
9.84405 | 0.327408 | |||||||||
7.97792 | − | 2.62027i | 0.265195 | − | 0.0871006i | |||||
6.36292 | − | 19.5831i | 0.211394 | − | 0.650604i | |||||
9.25599 | + | 12.7398i | 0.307340 | + | 0.423018i | 0.934549 | − | 0.355833i | ||
−0.627209 | + | 0.778851i | ||||||||
− | 18.8763i | − | 0.626432i | |||||||
−0.331856 | −0.0110070 | |||||||||
−3.71971 | − | 2.68449i | −0.123307 | − | 0.0889901i | |||||
−8.97759 | + | 27.6302i | −0.297441 | + | 0.915429i | 0.684950 | + | 0.728590i | ||
−0.982391 | + | 0.186838i | ||||||||
−19.3118 | − | 6.27479i | −0.639478 | − | 0.207779i | |||||
−28.6151 | − | 37.2387i | −0.947021 | − | 1.23242i | |||||
−5.02297 | − | 15.4591i | −0.166145 | − | 0.511342i | |||||
−30.9549 | + | 0.0984600i | −1.02334 | + | 0.00325499i | |||||
8.13248 | + | 5.90860i | 0.268705 | + | 0.195226i | |||||
2.90671 | + | 0.944448i | 0.0959881 | + | 0.0311884i | |||||
−1.12272 | − | 1.54529i | −0.0370553 | − | 0.0510022i | |||||
5.35833 | 0.176755 | 0.0883774 | − | 0.996087i | ||||||
0.0883774 | + | 0.996087i | ||||||||
−13.1784 | − | 4.23562i | −0.434478 | − | 0.139644i | |||||
−6.70416 | − | 20.6333i | −0.220909 | − | 0.679889i | |||||
− | 28.1064i | − | 0.925636i | |||||||
−13.7788 | + | 4.47700i | −0.453534 | + | 0.147362i | |||||
0.619795 | − | 0.476265i | 0.0203898 | − | 0.0156680i | |||||
11.3501 | + | 15.4149i | 0.373190 | + | 0.506840i | |||||
−9.89472 | − | 7.18893i | −0.325161 | − | 0.236243i | |||||
− | 7.02767i | − | 0.230819i | |||||||
2.88898 | − | 3.97634i | 0.0948355 | − | 0.130530i | |||||
−10.8562 | + | 33.4118i | −0.356179 | + | 1.09621i | 0.599144 | + | 0.800642i | ||
−0.955323 | + | 0.295565i | ||||||||
−0.714480 | − | 0.976849i | −0.0234287 | − | 0.0320321i | |||||
9.02021 | − | 27.7614i | 0.295625 | − | 0.909842i | |||||
−21.5391 | − | 6.99847i | −0.705536 | − | 0.229243i | |||||
6.81924 | − | 2.21570i | 0.223252 | − | 0.0725389i | |||||
−11.5106 | + | 35.4261i | −0.376639 | + | 1.15918i | |||||
6.35920 | + | 4.33441i | 0.207968 | + | 0.141750i | |||||
2.28480 | + | 7.03188i | 0.0746809 | + | 0.229844i | |||||
−2.57505 | − | 3.54425i | −0.0841231 | − | 0.115785i | 0.764881 | − | 0.644171i | ||
−0.849004 | + | 0.528386i | ||||||||
2.13233 | − | 2.93490i | 0.0696230 | − | 0.0958278i | |||||
−10.9456 | + | 7.95243i | −0.357196 | + | 0.259518i | |||||
18.7460 | − | 0.0596264i | 0.611426 | − | 0.00194480i | |||||
3.53728 | + | 10.8866i | 0.115312 | + | 0.354894i | 0.992012 | − | 0.126144i | ||
−0.876700 | + | 0.481038i | ||||||||
−16.3952 | − | 5.32712i | −0.534185 | − | 0.173567i | |||||
63.9053 | + | 20.7641i | 2.08104 | + | 0.676172i | |||||
21.4366 | + | 65.9751i | 0.697703 | + | 2.14731i | |||||
0.00120759 | + | 0.379653i | 3.92828e−5 | + | 0.0123501i | |||||
2.92264 | + | 8.23522i | 0.0950233 | + | 0.267750i | |||||
0.266870 | + | 0.367315i | 0.00867211 | + | 0.0119361i | 0.813331 | − | 0.581801i | ||
−0.804659 | + | 0.593737i | ||||||||
−14.6906 | − | 4.77327i | −0.477129 | − | 0.155029i | |||||
−29.5885 | + | 91.0641i | −0.960484 | + | 2.95607i | |||||
22.4525 | − | 31.3203i | 0.728456 | − | 1.01617i | |||||
−14.7092 | + | 10.6868i | −0.476977 | + | 0.346544i | |||||
0.116649 | − | 0.160553i | 0.00378060 | − | 0.00520355i | |||||
4.89019 | − | 6.73076i | 0.158409 | − | 0.218031i | −0.722434 | − | 0.691440i | ||
0.880843 | + | 0.473409i | ||||||||
−1.25546 | − | 3.86390i | −0.0406469 | − | 0.125098i | |||||
54.0860 | − | 17.7640i | 1.75018 | − | 0.574829i | |||||
−1.78171 | − | 1.29449i | −0.0576247 | − | 0.0418668i | |||||
−2.30205 | + | 0.816986i | −0.0744146 | + | 0.0264094i | |||||
27.3277 | − | 37.6134i | 0.882919 | − | 1.21523i | |||||
−1.75810 | + | 1.27733i | −0.0567719 | + | 0.0412472i | |||||
1.80350 | + | 5.49112i | 0.0582079 | + | 0.177225i | |||||
25.0096 | − | 18.1705i | 0.806761 | − | 0.586146i | |||||
43.9950 | − | 14.2948i | 1.41846 | − | 0.460884i | |||||
0.706648 | − | 0.229604i | 0.0227714 | − | 0.00739888i | |||||
23.6867 | − | 17.2094i | 0.762898 | − | 0.554278i | |||||
−14.3571 | − | 10.3614i | −0.462170 | − | 0.333546i | |||||
−1.38958 | + | 1.00959i | −0.0447089 | + | 0.0324829i | |||||
−29.3942 | + | 40.4576i | −0.945253 | + | 1.30103i | 0.00835079 | + | 0.999965i | ||
−0.953604 | + | 0.301064i | ||||||||
11.5609 | − | 4.45615i | 0.371583 | − | 0.143226i | |||||
−3.51530 | − | 2.55402i | −0.112928 | − | 0.0820469i | |||||
−0.0604466 | − | 19.0038i | −0.00194082 | − | 0.610176i | |||||
1.13395 | + | 3.48995i | 0.0363903 | + | 0.111998i | 0.967602 | − | 0.252482i | ||
−0.931211 | + | 0.364480i | ||||||||
−0.815886 | + | 1.12297i | −0.0261696 | + | 0.0360193i | |||||
−1.20818 | + | 1.66292i | −0.0387326 | + | 0.0533108i | |||||
18.0472 | − | 13.1121i | 0.578270 | − | 0.420138i | |||||
−32.8206 | + | 0.208791i | −1.05110 | + | 0.00668667i | |||||
20.7452 | − | 63.8471i | 0.664037 | − | 2.04369i | |||||
29.7646 | + | 9.67111i | 0.952254 | + | 0.309406i | 0.743631 | − | 0.668590i | ||
0.208623 | + | 0.977996i | ||||||||
−21.8045 | − | 30.0114i | −0.697232 | − | 0.959658i | |||||
−1.25727 | − | 0.862818i | −0.0401824 | − | 0.0275758i | |||||
−20.5569 | + | 6.75169i | −0.656665 | + | 0.215675i | |||||
−1.47491 | − | 4.53931i | −0.0470903 | − | 0.144929i | |||||
29.8494 | + | 9.69865i | 0.952532 | + | 0.309496i | |||||
−3.12263 | − | 1.01460i | −0.0995964 | − | 0.0323608i | 0.258795 | − | 0.965932i | ||
−0.358391 | + | 0.933571i | ||||||||
4.25547 | + | 13.0970i | 0.135659 | + | 0.417517i | |||||
14.6151 | + | 10.5477i | 0.465677 | + | 0.336076i | |||||
1.13812 | − | 0.826893i | 0.0362451 | − | 0.0263336i | |||||
−0.602750 | + | 0.829614i | −0.0191857 | + | 0.0264069i | |||||
−22.4256 | − | 30.8662i | −0.713453 | − | 0.981984i | |||||
−2.43103 | − | 7.48193i | −0.0773021 | − | 0.237911i | |||||
3.82634 | − | 13.1035i | 0.121609 | − | 0.416458i | |||||
−12.6780 | + | 39.0188i | −0.402729 | + | 1.23947i | 0.520047 | + | 0.854138i | ||
−0.922776 | + | 0.385336i | ||||||||
1.86625 | − | 0.606382i | 0.0592536 | − | 0.0192527i | |||||
15.8205 | + | 5.14039i | 0.502048 | + | 0.163125i | |||||
0.213148 | − | 0.656003i | 0.00676065 | − | 0.0208072i | |||||
−32.3159 | + | 10.6138i | −1.02448 | + | 0.336481i | |||||
6.07371 | − | 18.6930i | 0.192453 | − | 0.592309i | |||||
−12.8104 | + | 17.6320i | −0.405709 | + | 0.558411i | −0.962165 | − | 0.272466i | ||
0.556456 | + | 0.830877i | ||||||||
49.2184i | 1.55798i | |||||||||
−3.09737 | − | 2.25037i | −0.0979963 | − | 0.0711985i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 825.2.cb.a.169.14 | yes | 240 | |
11.3 | even | 5 | 825.2.by.a.619.14 | yes | 240 | ||
25.4 | even | 10 | 825.2.by.a.4.14 | ✓ | 240 | ||
275.179 | even | 10 | inner | 825.2.cb.a.454.14 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
825.2.by.a.4.14 | ✓ | 240 | 25.4 | even | 10 | ||
825.2.by.a.619.14 | yes | 240 | 11.3 | even | 5 | ||
825.2.cb.a.169.14 | yes | 240 | 1.1 | even | 1 | trivial | |
825.2.cb.a.454.14 | yes | 240 | 275.179 | even | 10 | inner |