Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(406,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.406");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 585.j (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 451.3 | ||
Root | of defining polynomial | ||
Character | 585.451 | ||
Dual form | 585.2.j.i.406.3 |
-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 .
0.313396 | − | 0.542817i | 0.221604 | − | 0.383830i | −0.733691 | − | 0.679483i | ||
0.955295 | + | 0.295653i | ||||||||
0 | 0 | |||||||||
0.803566 | + | 1.39182i | 0.401783 | + | 0.695909i | |||||
−1.00000 | −0.447214 | |||||||||
0 | 0 | |||||||||
−2.21563 | − | 3.83759i | −0.837431 | − | 1.45047i | −0.892036 | − | 0.451965i | ||
0.0546047 | − | 0.998508i | ||||||||
2.26092 | 0.799356 | |||||||||
0 | 0 | |||||||||
−0.313396 | + | 0.542817i | −0.0991044 | + | 0.171654i | |||||
3.02903 | − | 5.24643i | 0.913287 | − | 1.58186i | 0.103897 | − | 0.994588i | ||
0.809390 | − | 0.587271i | ||||||||
0 | 0 | |||||||||
2.27075 | + | 2.80066i | 0.629793 | + | 0.776763i | |||||
−2.77748 | −0.742313 | |||||||||
0 | 0 | |||||||||
−0.898570 | + | 1.55637i | −0.224642 | + | 0.389092i | |||||
−2.92053 | − | 5.05850i | −0.708332 | − | 1.22687i | −0.965475 | − | 0.260494i | ||
0.257143 | − | 0.966373i | ||||||||
0 | 0 | |||||||||
1.80357 | + | 3.12387i | 0.413766 | + | 0.716665i | 0.995298 | − | 0.0968592i | ||
−0.581532 | + | 0.813524i | ||||||||
−0.803566 | − | 1.39182i | −0.179683 | − | 0.311220i | |||||
0 | 0 | |||||||||
−1.89857 | − | 3.28842i | −0.404776 | − | 0.701093i | |||||
1.13046 | − | 1.95801i | 0.235717 | − | 0.408274i | −0.723764 | − | 0.690048i | ||
0.959481 | + | 0.281774i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.200000 | |||||||||
2.23189 | − | 0.354887i | 0.437710 | − | 0.0695991i | |||||
0 | 0 | |||||||||
3.56082 | − | 6.16752i | 0.672931 | − | 1.16555i | |||||
4.04253 | − | 7.00186i | 0.750679 | − | 1.30021i | −0.196816 | − | 0.980441i | ||
0.947494 | − | 0.319773i | ||||||||
0 | 0 | |||||||||
6.45826 | 1.15994 | 0.579969 | − | 0.814638i | ||||||
0.579969 | + | 0.814638i | ||||||||
2.82414 | + | 4.89155i | 0.499241 | + | 0.864711i | |||||
0 | 0 | |||||||||
−3.66112 | −0.627878 | |||||||||
2.21563 | + | 3.83759i | 0.374511 | + | 0.648671i | |||||
0 | 0 | |||||||||
0.898570 | − | 1.55637i | 0.147724 | − | 0.255865i | −0.782662 | − | 0.622447i | ||
0.930386 | + | 0.366582i | ||||||||
2.26092 | 0.366770 | |||||||||
0 | 0 | |||||||||
−2.26092 | −0.357483 | |||||||||
−3.99587 | + | 6.92106i | −0.624051 | + | 1.08089i | 0.364673 | + | 0.931136i | ||
−0.988724 | + | 0.149752i | ||||||||
0 | 0 | |||||||||
−3.24375 | − | 5.61835i | −0.494668 | − | 0.856790i | 0.505313 | − | 0.862936i | ||
−0.999981 | + | 0.00614624i | ||||||||
9.73610 | 1.46777 | |||||||||
0 | 0 | |||||||||
−0.708563 | − | 1.22727i | −0.104472 | − | 0.180951i | |||||
3.22841 | 0.470912 | 0.235456 | − | 0.971885i | ||||||
0.235456 | + | 0.971885i | ||||||||
0 | 0 | |||||||||
−6.31807 | + | 10.9432i | −0.902581 | + | 1.56332i | |||||
0.313396 | − | 0.542817i | 0.0443208 | − | 0.0767660i | |||||
0 | 0 | |||||||||
−2.07331 | + | 5.41098i | −0.287516 | + | 0.750369i | |||||
−10.0768 | −1.38416 | −0.692078 | − | 0.721823i | ||||||
−0.692078 | + | 0.721823i | ||||||||
0 | 0 | |||||||||
−3.02903 | + | 5.24643i | −0.408434 | + | 0.707429i | |||||
−5.00937 | − | 8.67648i | −0.669405 | − | 1.15944i | |||||
0 | 0 | |||||||||
−2.53382 | − | 4.38871i | −0.332707 | − | 0.576266i | |||||
1.56460 | + | 2.70997i | 0.203694 | + | 0.352809i | 0.949716 | − | 0.313113i | ||
−0.746022 | + | 0.665922i | ||||||||
0 | 0 | |||||||||
1.22913 | + | 2.12892i | 0.157374 | + | 0.272580i | 0.933921 | − | 0.357479i | ||
−0.776547 | + | 0.630060i | ||||||||
2.02399 | − | 3.50566i | 0.257047 | − | 0.445219i | |||||
0 | 0 | |||||||||
−0.0539916 | −0.00674895 | |||||||||
−2.27075 | − | 2.80066i | −0.281652 | − | 0.347379i | |||||
0 | 0 | |||||||||
2.16932 | − | 3.75737i | 0.265025 | − | 0.459036i | −0.702546 | − | 0.711639i | ||
0.967570 | + | 0.252603i | ||||||||
4.69368 | − | 8.12968i | 0.569192 | − | 0.985869i | |||||
0 | 0 | |||||||||
2.77748 | 0.331972 | |||||||||
4.24742 | + | 7.35675i | 0.504076 | + | 0.873086i | 0.999989 | + | 0.00471324i | ||
−0.495913 | + | 0.868372i | ||||||||
0 | 0 | |||||||||
−0.819388 | −0.0959021 | −0.0479511 | − | 0.998850i | ||||||
−0.0479511 | + | 0.998850i | ||||||||
−0.563216 | − | 0.975519i | −0.0654725 | − | 0.113402i | |||||
0 | 0 | |||||||||
−2.89857 | + | 5.02047i | −0.332489 | + | 0.575887i | |||||
−26.8449 | −3.05926 | |||||||||
0 | 0 | |||||||||
−8.42187 | −0.947535 | −0.473767 | − | 0.880650i | ||||||
−0.473767 | + | 0.880650i | ||||||||
0.898570 | − | 1.55637i | 0.100463 | − | 0.174007i | |||||
0 | 0 | |||||||||
2.50458 | + | 4.33806i | 0.276584 | + | 0.479058i | |||||
−2.35423 | −0.258410 | −0.129205 | − | 0.991618i | ||||||
−0.129205 | + | 0.991618i | ||||||||
0 | 0 | |||||||||
2.92053 | + | 5.05850i | 0.316776 | + | 0.548672i | |||||
−4.06631 | −0.438482 | |||||||||
0 | 0 | |||||||||
6.84839 | − | 11.8618i | 0.730041 | − | 1.26447i | |||||
0.386706 | − | 0.669795i | 0.0409908 | − | 0.0709982i | −0.844802 | − | 0.535079i | ||
0.885793 | + | 0.464081i | ||||||||
0 | 0 | |||||||||
5.71664 | − | 14.9194i | 0.599267 | − | 1.56398i | |||||
3.63360 | 0.378829 | |||||||||
0 | 0 | |||||||||
1.01177 | − | 1.75244i | 0.104356 | − | 0.180750i | |||||
−1.80357 | − | 3.12387i | −0.185042 | − | 0.320502i | |||||
0 | 0 | |||||||||
3.16052 | + | 5.47418i | 0.320902 | + | 0.555819i | 0.980674 | − | 0.195647i | ||
−0.659772 | + | 0.751466i | ||||||||
3.96011 | + | 6.85911i | 0.400032 | + | 0.692875i | |||||
0 | 0 | |||||||||
0.803566 | + | 1.39182i | 0.0803566 | + | 0.139182i | |||||
−4.45848 | + | 7.72231i | −0.443635 | + | 0.768398i | −0.997956 | − | 0.0639046i | ||
0.554321 | + | 0.832303i | ||||||||
0 | 0 | |||||||||
0.112968 | 0.0111311 | 0.00556556 | − | 0.999985i | ||||||
0.00556556 | + | 0.999985i | ||||||||
5.13398 | + | 6.33207i | 0.503428 | + | 0.620910i | |||||
0 | 0 | |||||||||
−3.15803 | + | 5.46986i | −0.306735 | + | 0.531280i | |||||
−3.87512 | + | 6.71191i | −0.374622 | + | 0.648865i | −0.990270 | − | 0.139156i | ||
0.615648 | + | 0.788021i | ||||||||
0 | 0 | |||||||||
−11.4744 | −1.09905 | −0.549525 | − | 0.835477i | ||||||
−0.549525 | + | 0.835477i | ||||||||
1.89857 | + | 3.28842i | 0.181022 | + | 0.313539i | |||||
0 | 0 | |||||||||
7.96361 | 0.752490 | |||||||||
3.12369 | + | 5.41040i | 0.293852 | + | 0.508967i | 0.974717 | − | 0.223442i | ||
−0.680865 | + | 0.732409i | ||||||||
0 | 0 | |||||||||
−1.13046 | + | 1.95801i | −0.105416 | + | 0.182586i | |||||
12.9938 | 1.20644 | |||||||||
0 | 0 | |||||||||
1.96136 | 0.180558 | |||||||||
−12.9416 | + | 22.4156i | −1.18636 | + | 2.05483i | |||||
0 | 0 | |||||||||
−12.8500 | − | 22.2569i | −1.16819 | − | 2.02336i | |||||
1.54082 | 0.139499 | |||||||||
0 | 0 | |||||||||
5.18964 | + | 8.98873i | 0.466044 | + | 0.807211i | |||||
−1.00000 | −0.0894427 | |||||||||
0 | 0 | |||||||||
−5.60171 | + | 9.70245i | −0.497071 | + | 0.860953i | −0.999994 | − | 0.00337830i | ||
0.502923 | + | 0.864331i | ||||||||
−5.66519 | + | 9.81240i | −0.500737 | + | 0.867302i | |||||
0 | 0 | |||||||||
−2.23189 | + | 0.354887i | −0.195750 | + | 0.0311257i | |||||
0.494893 | 0.0432390 | 0.0216195 | − | 0.999766i | ||||||
0.0216195 | + | 0.999766i | ||||||||
0 | 0 | |||||||||
7.99209 | − | 13.8427i | 0.693002 | − | 1.20031i | |||||
−1.35971 | − | 2.35509i | −0.117461 | − | 0.203449i | |||||
0 | 0 | |||||||||
−6.60308 | − | 11.4369i | −0.566209 | − | 0.980704i | |||||
11.5749 | + | 20.0483i | 0.988909 | + | 1.71284i | 0.623078 | + | 0.782160i | ||
0.365832 | + | 0.930681i | ||||||||
0 | 0 | |||||||||
5.97871 | + | 10.3554i | 0.507107 | + | 0.878336i | 0.999966 | + | 0.00822631i | ||
−0.492859 | + | 0.870109i | ||||||||
−3.56082 | + | 6.16752i | −0.300944 | + | 0.521250i | |||||
0 | 0 | |||||||||
5.32450 | 0.446822 | |||||||||
21.5716 | − | 3.43005i | 1.80391 | − | 0.286835i | |||||
0 | 0 | |||||||||
−4.04253 | + | 7.00186i | −0.335714 | + | 0.581473i | |||||
−0.256793 | + | 0.444778i | −0.0212523 | + | 0.0368101i | |||||
0 | 0 | |||||||||
2.88824 | 0.237412 | |||||||||
−10.6089 | − | 18.3752i | −0.869117 | − | 1.50536i | −0.862900 | − | 0.505375i | ||
−0.00621731 | − | 0.999981i | ||||||||
0 | 0 | |||||||||
19.4623 | 1.58382 | 0.791909 | − | 0.610639i | ||||||
0.791909 | + | 0.610639i | ||||||||
4.07772 | + | 7.06282i | 0.330747 | + | 0.572870i | |||||
0 | 0 | |||||||||
−8.41307 | + | 14.5719i | −0.677945 | + | 1.17423i | |||||
−6.45826 | −0.518740 | |||||||||
0 | 0 | |||||||||
20.6547 | 1.64842 | 0.824212 | − | 0.566282i | ||||||
0.824212 | + | 0.566282i | ||||||||
−2.63938 | + | 4.57154i | −0.209978 | + | 0.363692i | |||||
0 | 0 | |||||||||
−2.82414 | − | 4.89155i | −0.223268 | − | 0.386711i | |||||
−10.0187 | −0.789587 | |||||||||
0 | 0 | |||||||||
2.42990 | + | 4.20871i | 0.190324 | + | 0.329652i | 0.945358 | − | 0.326035i | ||
−0.755033 | + | 0.655686i | ||||||||
−12.8438 | −1.00293 | |||||||||
0 | 0 | |||||||||
−0.737805 | + | 1.27792i | −0.0572648 | + | 0.0991855i | |||||
1.28997 | − | 2.23430i | 0.0998212 | − | 0.172895i | −0.811789 | − | 0.583950i | ||
0.911611 | + | 0.411055i | ||||||||
0 | 0 | |||||||||
−2.68740 | + | 12.7192i | −0.206723 | + | 0.978400i | |||||
3.66112 | 0.280795 | |||||||||
0 | 0 | |||||||||
5.21314 | − | 9.02943i | 0.397498 | − | 0.688487i | |||||
−5.12339 | − | 8.87397i | −0.389524 | − | 0.674675i | 0.602862 | − | 0.797846i | ||
−0.992386 | + | 0.123170i | ||||||||
0 | 0 | |||||||||
−2.21563 | − | 3.83759i | −0.167486 | − | 0.290095i | |||||
5.44359 | + | 9.42857i | 0.410326 | + | 0.710706i | |||||
0 | 0 | |||||||||
−0.242384 | − | 0.419822i | −0.0181675 | − | 0.0314670i | |||||
−5.30141 | + | 9.18232i | −0.396246 | + | 0.686319i | −0.993259 | − | 0.115913i | ||
0.597013 | + | 0.802231i | ||||||||
0 | 0 | |||||||||
16.8618 | 1.25333 | 0.626664 | − | 0.779289i | ||||||
0.626664 | + | 0.779289i | ||||||||
−6.30696 | − | 7.77878i | −0.467503 | − | 0.576602i | |||||
0 | 0 | |||||||||
2.55588 | − | 4.42691i | 0.188422 | − | 0.326356i | |||||
−0.898570 | + | 1.55637i | −0.0660642 | + | 0.114427i | |||||
0 | 0 | |||||||||
−35.3855 | −2.58764 | |||||||||
2.59424 | + | 4.49336i | 0.189204 | + | 0.327712i | |||||
0 | 0 | |||||||||
−2.26092 | −0.164024 | |||||||||
−5.49549 | − | 9.51847i | −0.397640 | − | 0.688732i | 0.595795 | − | 0.803137i | ||
−0.993434 | + | 0.114405i | ||||||||
0 | 0 | |||||||||
3.32586 | − | 5.76057i | 0.239401 | − | 0.414655i | −0.721142 | − | 0.692788i | ||
0.960543 | + | 0.278133i | ||||||||
3.96197 | 0.284453 | |||||||||
0 | 0 | |||||||||
−20.3079 | −1.45057 | |||||||||
11.9930 | − | 20.7725i | 0.854466 | − | 1.47998i | −0.0226743 | − | 0.999743i | ||
0.877140 | − | 0.480235i | ||||||||
0 | 0 | |||||||||
10.4552 | + | 18.1089i | 0.741147 | + | 1.28370i | 0.951973 | + | 0.306181i | ||
−0.210826 | + | 0.977524i | ||||||||
2.26092 | 0.159871 | |||||||||
0 | 0 | |||||||||
2.79454 | + | 4.84028i | 0.196623 | + | 0.340561i | |||||
−35.8270 | −2.51457 | |||||||||
0 | 0 | |||||||||
3.99587 | − | 6.92106i | 0.279084 | − | 0.483387i | |||||
0.0354038 | − | 0.0613212i | 0.00246670 | − | 0.00427245i | |||||
0 | 0 | |||||||||
−6.39929 | + | 1.01753i | −0.443711 | + | 0.0705533i | |||||
21.8522 | 1.51155 | |||||||||
0 | 0 | |||||||||
−6.56540 | + | 11.3716i | −0.451981 | + | 0.782853i | −0.998509 | − | 0.0545873i | ||
0.546528 | + | 0.837441i | ||||||||
−8.09738 | − | 14.0251i | −0.556130 | − | 0.963246i | |||||
0 | 0 | |||||||||
2.42889 | + | 4.20697i | 0.166036 | + | 0.287582i | |||||
3.24375 | + | 5.61835i | 0.221222 | + | 0.383168i | |||||
0 | 0 | |||||||||
−14.3091 | − | 24.7842i | −0.971368 | − | 1.68246i | |||||
−3.59603 | + | 6.22851i | −0.243554 | + | 0.421848i | |||||
0 | 0 | |||||||||
−9.73610 | −0.656408 | |||||||||
7.53536 | − | 19.6660i | 0.506883 | − | 1.32288i | |||||
0 | 0 | |||||||||
10.6003 | − | 18.3603i | 0.709851 | − | 1.22950i | −0.255061 | − | 0.966925i | ||
0.964912 | − | 0.262574i | ||||||||
12.5145 | − | 21.6758i | 0.836160 | − | 1.44827i | |||||
0 | 0 | |||||||||
3.91581 | 0.260476 | |||||||||
4.61972 | + | 8.00159i | 0.306622 | + | 0.531084i | 0.977621 | − | 0.210374i | ||
−0.670999 | + | 0.741458i | ||||||||
0 | 0 | |||||||||
3.16502 | 0.209150 | 0.104575 | − | 0.994517i | ||||||
0.104575 | + | 0.994517i | ||||||||
0.708563 | + | 1.22727i | 0.0467212 | + | 0.0809235i | |||||
0 | 0 | |||||||||
9.13983 | − | 15.8307i | 0.600059 | − | 1.03933i | |||||
−2.83723 | −0.185873 | −0.0929364 | − | 0.995672i | ||||||
−0.0929364 | + | 0.995672i | ||||||||
0 | 0 | |||||||||
−3.22841 | −0.210598 | |||||||||
−2.51453 | + | 4.35529i | −0.163682 | + | 0.283505i | |||||
0 | 0 | |||||||||
8.11171 | + | 14.0499i | 0.525804 | + | 0.910720i | |||||
−0.634366 | −0.0410337 | −0.0205169 | − | 0.999790i | ||||||
−0.0205169 | + | 0.999790i | ||||||||
0 | 0 | |||||||||
0.449233 | + | 0.778094i | 0.0289376 | + | 0.0501215i | 0.880132 | − | 0.474730i | ||
−0.851194 | + | 0.524851i | ||||||||
−16.1086 | −1.03550 | |||||||||
0 | 0 | |||||||||
−1.97538 | + | 3.42146i | −0.126461 | + | 0.219036i | |||||
6.31807 | − | 10.9432i | 0.403647 | − | 0.699136i | |||||
0 | 0 | |||||||||
−4.65345 | + | 12.1447i | −0.296092 | + | 0.772749i | |||||
14.6016 | 0.927204 | |||||||||
0 | 0 | |||||||||
−0.313396 | + | 0.542817i | −0.0198209 | + | 0.0343308i | |||||
7.22838 | + | 12.5199i | 0.456252 | + | 0.790251i | 0.998759 | − | 0.0498000i | ||
−0.542508 | + | 0.840051i | ||||||||
0 | 0 | |||||||||
−6.84839 | − | 11.8618i | −0.430555 | − | 0.745743i | |||||
3.51110 | + | 6.08141i | 0.220306 | + | 0.381582i | |||||
0 | 0 | |||||||||
3.49690 | + | 6.05681i | 0.218556 | + | 0.378551i | |||||
−0.209252 | + | 0.362435i | −0.0130528 | + | 0.0226081i | −0.872478 | − | 0.488653i | ||
0.859425 | + | 0.511261i | ||||||||
0 | 0 | |||||||||
−7.96361 | −0.494835 | |||||||||
2.07331 | − | 5.41098i | 0.128581 | − | 0.335575i | |||||
0 | 0 | |||||||||
0.155097 | − | 0.268636i | 0.00958194 | − | 0.0165964i | |||||
1.24526 | − | 2.15686i | 0.0767861 | − | 0.132997i | −0.825075 | − | 0.565022i | ||
0.901862 | + | 0.432025i | ||||||||
0 | 0 | |||||||||
10.0768 | 0.619013 | |||||||||
−5.00937 | − | 8.67648i | −0.307144 | − | 0.531989i | |||||
0 | 0 | |||||||||
6.97277 | 0.425930 | |||||||||
0.884288 | + | 1.53163i | 0.0539160 | + | 0.0933853i | 0.891724 | − | 0.452580i | ||
−0.837808 | + | 0.545965i | ||||||||
0 | 0 | |||||||||
10.2018 | − | 17.6700i | 0.619714 | − | 1.07338i | −0.369824 | − | 0.929102i | ||
0.989538 | − | 0.144274i | ||||||||
10.4972 | 0.636486 | |||||||||
0 | 0 | |||||||||
14.5101 | 0.876586 | |||||||||
3.02903 | − | 5.24643i | 0.182657 | − | 0.316372i | |||||
0 | 0 | |||||||||
2.42247 | + | 4.19584i | 0.145552 | + | 0.252103i | 0.929579 | − | 0.368624i | ||
−0.784027 | + | 0.620727i | ||||||||
7.49480 | 0.449508 | |||||||||
0 | 0 | |||||||||
5.00937 | + | 8.67648i | 0.299367 | + | 0.518519i | |||||
−5.20237 | −0.310347 | −0.155174 | − | 0.987887i | ||||||
−0.155174 | + | 0.987887i | ||||||||
0 | 0 | |||||||||
−5.01017 | + | 8.67787i | −0.297824 | + | 0.515846i | −0.975638 | − | 0.219388i | ||
0.677814 | + | 0.735233i | ||||||||
−6.82617 | + | 11.8233i | −0.405059 | + | 0.701582i | |||||
0 | 0 | |||||||||
4.89857 | − | 12.7844i | 0.289659 | − | 0.755959i | |||||
35.4136 | 2.09040 | |||||||||
0 | 0 | |||||||||
−8.55897 | + | 14.8246i | −0.503469 | + | 0.872034i | |||||
2.53382 | + | 4.38871i | 0.148791 | + | 0.257714i | |||||
0 | 0 | |||||||||
−0.658433 | − | 1.14044i | −0.0385319 | − | 0.0667391i | |||||
3.75349 | + | 6.50123i | 0.219281 | + | 0.379806i | 0.954588 | − | 0.297928i | ||
−0.735307 | + | 0.677734i | ||||||||
0 | 0 | |||||||||
−1.56460 | − | 2.70997i | −0.0910948 | − | 0.157781i | |||||
2.03159 | − | 3.51882i | 0.118084 | − | 0.204528i | |||||
0 | 0 | |||||||||
−13.2992 | −0.770400 | |||||||||
8.05072 | − | 1.28012i | 0.465585 | − | 0.0740315i | |||||
0 | 0 | |||||||||
−14.3739 | + | 24.8964i | −0.828500 | + | 1.43500i | |||||
6.09940 | − | 10.5645i | 0.350981 | − | 0.607917i | |||||
0 | 0 | |||||||||
−6.48252 | −0.371798 | |||||||||
−1.22913 | − | 2.12892i | −0.0703799 | − | 0.121902i | |||||
0 | 0 | |||||||||
−11.4404 | −0.652940 | −0.326470 | − | 0.945208i | ||||||
−0.326470 | + | 0.945208i | ||||||||
−21.5716 | − | 37.3632i | −1.22916 | − | 2.12897i | |||||
0 | 0 | |||||||||
−2.02399 | + | 3.50566i | −0.114955 | + | 0.199108i | |||||
−24.2351 | −1.37424 | −0.687122 | − | 0.726542i | ||||||
−0.687122 | + | 0.726542i | ||||||||
0 | 0 | |||||||||
−18.8796 | −1.06714 | −0.533570 | − | 0.845756i | ||||||
−0.533570 | + | 0.845756i | ||||||||
6.47309 | − | 11.2117i | 0.365298 | − | 0.632714i | |||||
0 | 0 | |||||||||
−6.76753 | − | 11.7217i | −0.380703 | − | 0.659398i | |||||
−22.3459 | −1.25507 | −0.627534 | − | 0.778589i | ||||||
−0.627534 | + | 0.778589i | ||||||||
0 | 0 | |||||||||
−24.4899 | − | 42.4177i | −1.37117 | − | 2.37494i | |||||
0.0539916 | 0.00301822 | |||||||||
0 | 0 | |||||||||
−3.13983 | + | 5.43835i | −0.174976 | + | 0.303067i | |||||
10.5347 | − | 18.2467i | 0.586168 | − | 1.01527i | |||||
0 | 0 | |||||||||
2.27075 | + | 2.80066i | 0.125959 | + | 0.155353i | |||||
3.04608 | 0.168707 | |||||||||
0 | 0 | |||||||||
−9.03435 | + | 15.6479i | −0.498838 | + | 0.864013i | |||||
−7.15297 | − | 12.3893i | −0.394356 | − | 0.683045i | |||||
0 | 0 | |||||||||
11.3443 | + | 19.6490i | 0.623541 | + | 1.08001i | 0.988821 | + | 0.149107i | ||
−0.365280 | + | 0.930898i | ||||||||
−1.89178 | − | 3.27666i | −0.103825 | − | 0.179830i | |||||
0 | 0 | |||||||||
−0.808545 | − | 1.40044i | −0.0442416 | − | 0.0766287i | |||||
−2.16932 | + | 3.75737i | −0.118523 | + | 0.205287i | |||||
0 | 0 | |||||||||
−0.166960 | −0.00909489 | −0.00454745 | − | 0.999990i | ||||||
−0.00454745 | + | 0.999990i | ||||||||
6.06198 | + | 5.44491i | 0.329728 | + | 0.296164i | |||||
0 | 0 | |||||||||
−4.69368 | + | 8.12968i | −0.254550 | + | 0.440894i | |||||
19.5623 | − | 33.8829i | 1.05936 | − | 1.83486i | |||||
0 | 0 | |||||||||
24.9752 | 1.34854 | |||||||||
−7.33387 | − | 12.7026i | −0.395416 | − | 0.684880i | |||||
0 | 0 | |||||||||
−6.42259 | −0.345281 | |||||||||
7.31716 | + | 12.6737i | 0.392806 | + | 0.680359i | 0.992818 | − | 0.119631i | ||
−0.600013 | + | 0.799990i | ||||||||
0 | 0 | |||||||||
−1.11356 | + | 1.92874i | −0.0596074 | + | 0.103243i | −0.894289 | − | 0.447489i | ||
0.834682 | + | 0.550733i | ||||||||
−2.77748 | −0.148463 | |||||||||
0 | 0 | |||||||||
34.2176 | 1.82380 | |||||||||
2.96970 | − | 5.14366i | 0.158061 | − | 0.273770i | −0.776108 | − | 0.630599i | ||
0.934169 | + | 0.356830i | ||||||||
0 | 0 | |||||||||
−4.24742 | − | 7.35675i | −0.225430 | − | 0.390456i | |||||
1.24298 | 0.0658777 | |||||||||
0 | 0 | |||||||||
3.32288 | + | 5.75540i | 0.175620 | + | 0.304182i | |||||
−10.9234 | −0.576516 | −0.288258 | − | 0.957553i | ||||||
−0.288258 | + | 0.957553i | ||||||||
0 | 0 | |||||||||
2.99430 | − | 5.18628i | 0.157595 | − | 0.272962i | |||||
5.28442 | − | 9.15288i | 0.277743 | − | 0.481065i | |||||
0 | 0 | |||||||||
25.3588 | − | 4.03224i | 1.32916 | − | 0.211347i | |||||
0.819388 | 0.0428887 | |||||||||
0 | 0 | |||||||||
−4.32224 | + | 7.48634i | −0.225619 | + | 0.390784i | −0.956505 | − | 0.291716i | ||
0.730886 | + | 0.682500i | ||||||||
2.03159 | + | 3.51882i | 0.105904 | + | 0.183431i | |||||
0 | 0 | |||||||||
0.563216 | + | 0.975519i | 0.0292802 | + | 0.0507148i | |||||
22.3265 | + | 38.6706i | 1.15913 | + | 2.00768i | |||||
0 | 0 | |||||||||
−9.15260 | − | 15.8528i | −0.473904 | − | 0.820826i | 0.525650 | − | 0.850701i | ||
−0.999554 | + | 0.0298755i | ||||||||
−11.0897 | + | 19.2078i | −0.573432 | + | 0.993214i | |||||
0 | 0 | |||||||||
7.29917 | 0.376426 | |||||||||
28.7894 | − | 4.57773i | 1.48273 | − | 0.235765i | |||||
0 | 0 | |||||||||
15.0031 | − | 25.9861i | 0.770657 | − | 1.33482i | −0.166546 | − | 0.986034i | ||
0.937203 | − | 0.348783i | ||||||||
2.89857 | − | 5.02047i | 0.148694 | − | 0.257545i | |||||
0 | 0 | |||||||||
−6.88905 | −0.352474 | |||||||||
7.26799 | + | 12.5885i | 0.371377 | + | 0.643244i | 0.989778 | − | 0.142619i | ||
−0.618401 | + | 0.785863i | ||||||||
0 | 0 | |||||||||
26.8449 | 1.36814 | |||||||||
−2.08462 | − | 3.61067i | −0.106105 | − | 0.183778i | |||||
0 | 0 | |||||||||
−5.07937 | + | 8.79773i | −0.257866 | + | 0.446637i | |||||
−24.5259 | −1.24351 | −0.621756 | − | 0.783211i | ||||||
−0.621756 | + | 0.783211i | ||||||||
0 | 0 | |||||||||
−13.2062 | −0.667864 | |||||||||
−14.2846 | + | 24.7417i | −0.721484 | + | 1.24965i | |||||
0 | 0 | |||||||||
−7.51711 | − | 13.0200i | −0.378706 | − | 0.655939i | |||||
8.42187 | 0.423750 | |||||||||
0 | 0 | |||||||||
4.72045 | + | 8.17606i | 0.236913 | + | 0.410345i | 0.959827 | − | 0.280593i | ||
−0.722914 | + | 0.690938i | ||||||||
13.1064 | 0.656965 | |||||||||
0 | 0 | |||||||||
−0.898570 | + | 1.55637i | −0.0449285 | + | 0.0778184i | |||||
0.244187 | − | 0.422945i | 0.0121941 | − | 0.0211209i | −0.859864 | − | 0.510523i | ||
0.872058 | + | 0.489402i | ||||||||
0 | 0 | |||||||||
14.6651 | + | 18.0874i | 0.730521 | + | 0.900998i | |||||
−14.3307 | −0.712980 | |||||||||
0 | 0 | |||||||||
−11.2280 | + | 19.4475i | −0.557238 | + | 0.965165i | |||||
−5.44359 | − | 9.42857i | −0.269829 | − | 0.467357i | |||||
0 | 0 | |||||||||
−10.3602 | − | 17.9443i | −0.512277 | − | 0.887290i | −0.999899 | − | 0.0142348i | ||
0.487622 | − | 0.873055i | ||||||||
−2.50458 | − | 4.33806i | −0.123692 | − | 0.214241i | |||||
0 | 0 | |||||||||
0.0907776 | + | 0.157231i | 0.00447229 | + | 0.00774624i | |||||
6.93318 | − | 12.0086i | 0.341160 | − | 0.590906i | |||||
0 | 0 | |||||||||
2.35423 | 0.115565 | |||||||||
−7.28666 | + | 19.0169i | −0.357258 | + | 0.932381i | |||||
0 | 0 | |||||||||
6.84839 | − | 11.8618i | 0.334966 | − | 0.580178i | |||||
2.27374 | − | 3.93823i | 0.111079 | − | 0.192395i | −0.805126 | − | 0.593103i | ||
0.916206 | + | 0.400708i | ||||||||
0 | 0 | |||||||||
31.0991 | 1.51568 | 0.757840 | − | 0.652441i | ||||||
0.757840 | + | 0.652441i | ||||||||
4.11513 | + | 7.12762i | 0.200322 | + | 0.346967i | |||||
0 | 0 | |||||||||
−22.7828 | −1.10643 | |||||||||
−2.92053 | − | 5.05850i | −0.141666 | − | 0.245373i | |||||
0 | 0 | |||||||||
5.44661 | − | 9.43381i | 0.263580 | − | 0.456534i | |||||
−12.4557 | −0.602068 | |||||||||
0 | 0 | |||||||||
4.06631 | 0.196095 | |||||||||
17.1081 | − | 29.6321i | 0.824067 | − | 1.42733i | −0.0785630 | − | 0.996909i | ||
0.902630 | − | 0.430417i | ||||||||
0 | 0 | |||||||||
2.78163 | + | 4.81792i | 0.133676 | + | 0.231534i | 0.925091 | − | 0.379745i | ||
−0.791415 | + | 0.611280i | ||||||||
−17.9377 | −0.861037 | |||||||||
0 | 0 | |||||||||
−9.22045 | − | 15.9703i | −0.441580 | − | 0.764838i | |||||
8.15544 | 0.390127 | |||||||||
0 | 0 | |||||||||
1.40974 | − | 2.44175i | 0.0672834 | − | 0.116538i | −0.830421 | − | 0.557136i | ||
0.897705 | + | 0.440598i | ||||||||
−6.84839 | + | 11.8618i | −0.326484 | + | 0.565487i | |||||
0 | 0 | |||||||||
−8.31349 | − | 10.2536i | −0.395433 | − | 0.487712i | |||||
15.0635 | 0.715686 | 0.357843 | − | 0.933782i | ||||||
0.357843 | + | 0.933782i | ||||||||
0 | 0 | |||||||||
−0.386706 | + | 0.669795i | −0.0183316 | + | 0.0317513i | |||||
−6.64420 | − | 11.5081i | −0.314612 | − | 0.544924i | |||||
0 | 0 | |||||||||
0.119626 | + | 0.207198i | 0.00565178 | + | 0.00978918i | |||||
1.92228 | + | 3.32949i | 0.0907181 | + | 0.157128i | 0.907813 | − | 0.419374i | ||
−0.817095 | + | 0.576502i | ||||||||
0 | 0 | |||||||||
24.2072 | + | 41.9282i | 1.13987 | + | 1.97432i | |||||
−5.02019 | + | 8.69522i | −0.236130 | + | 0.408989i | |||||
0 | 0 | |||||||||
5.79120 | 0.271795 | |||||||||
−5.71664 | + | 14.9194i | −0.268000 | + | 0.699434i | |||||
0 | 0 | |||||||||
−15.2140 | + | 26.3515i | −0.711682 | + | 1.23267i | 0.252544 | + | 0.967586i | ||
−0.964225 | + | 0.265084i | ||||||||
0.991904 | − | 1.71803i | 0.0463486 | − | 0.0802782i | |||||
0 | 0 | |||||||||
−3.63360 | −0.169417 | |||||||||
15.3961 | + | 26.6667i | 0.717066 | + | 1.24199i | 0.962157 | + | 0.272494i | ||
−0.245092 | + | 0.969500i | ||||||||
0 | 0 | |||||||||
−12.9034 | −0.599674 | −0.299837 | − | 0.953991i | ||||||
−0.299837 | + | 0.953991i | ||||||||
7.26499 | + | 12.5833i | 0.337269 | + | 0.584166i | |||||
0 | 0 | |||||||||
−0.889174 | + | 1.54010i | −0.0411902 | + | 0.0713435i | |||||
−10.2346 | −0.473601 | −0.236800 | − | 0.971558i | ||||||
−0.236800 | + | 0.971558i | ||||||||
0 | 0 | |||||||||
−19.2257 | −0.887759 | |||||||||
−1.01177 | + | 1.75244i | −0.0466694 | + | 0.0808338i | |||||
0 | 0 | |||||||||
3.53745 | + | 6.12704i | 0.162824 | + | 0.282020i | |||||
−39.3017 | −1.80709 | |||||||||
0 | 0 | |||||||||
1.80357 | + | 3.12387i | 0.0827533 | + | 0.143333i | |||||
−41.5979 | −1.90664 | |||||||||
0 | 0 | |||||||||
−0.198808 | + | 0.344345i | −0.00909325 | + | 0.0157500i | |||||
17.5021 | − | 30.3146i | 0.799693 | − | 1.38511i | −0.120122 | − | 0.992759i | ||
0.919816 | − | 0.392351i | ||||||||
0 | 0 | |||||||||
6.39929 | − | 1.01753i | 0.291782 | − | 0.0463956i | |||||
0.563151 | 0.0256508 | |||||||||
0 | 0 | |||||||||
20.6517 | − | 35.7698i | 0.938715 | − | 1.62590i | |||||
−3.16052 | − | 5.47418i | −0.143512 | − | 0.248570i | |||||
0 | 0 | |||||||||
0.765925 | + | 1.32662i | 0.0347074 | + | 0.0601149i | 0.882857 | − | 0.469641i | ||
−0.848150 | + | 0.529756i | ||||||||
2.77897 | + | 4.81332i | 0.125798 | + | 0.217889i | |||||
0 | 0 | |||||||||
−3.96011 | − | 6.85911i | −0.178900 | − | 0.309863i | |||||
−12.5124 | + | 21.6721i | −0.564676 | + | 0.978048i | 0.432404 | + | 0.901680i | ||
−0.997080 | + | 0.0763675i | ||||||||
0 | 0 | |||||||||
−47.2253 | −2.12692 | |||||||||
5.13398 | + | 6.33207i | 0.230989 | + | 0.284893i | |||||
0 | 0 | |||||||||
−5.80320 | + | 10.0514i | −0.260571 | + | 0.451323i | |||||
18.8215 | − | 32.5997i | 0.844258 | − | 1.46230i | |||||
0 | 0 | |||||||||
27.7838 | 1.24377 | 0.621887 | − | 0.783107i | ||||||
0.621887 | + | 0.783107i | ||||||||
−0.803566 | − | 1.39182i | −0.0359366 | − | 0.0622440i | |||||
0 | 0 | |||||||||
9.06138 | 0.404429 | |||||||||
21.5069 | + | 37.2511i | 0.958947 | + | 1.66094i | 0.725067 | + | 0.688679i | ||
0.233880 | + | 0.972266i | ||||||||
0 | 0 | |||||||||
4.45848 | − | 7.72231i | 0.198400 | − | 0.343638i | |||||
−8.58503 | −0.381651 | |||||||||
0 | 0 | |||||||||
−18.0054 | −0.798860 | |||||||||
0.568519 | − | 0.984703i | 0.0251992 | − | 0.0436462i | −0.853151 | − | 0.521664i | ||
0.878350 | + | 0.478018i | ||||||||
0 | 0 | |||||||||
1.81546 | + | 3.14448i | 0.0803114 | + | 0.139103i | |||||
−18.2771 | −0.807742 | |||||||||
0 | 0 | |||||||||
0.131157 | + | 0.227171i | 0.00578510 | + | 0.0100201i | |||||
−0.112968 | −0.00497798 | |||||||||
0 | 0 | |||||||||
9.77894 | − | 16.9376i | 0.430077 | − | 0.744916i | |||||
−2.49576 | + | 4.32278i | −0.109657 | + | 0.189932i | |||||
0 | 0 | |||||||||
−5.13398 | − | 6.33207i | −0.225140 | − | 0.277680i | |||||
−30.7311 | −1.34635 | −0.673177 | − | 0.739481i | ||||||
−0.673177 | + | 0.739481i | ||||||||
0 | 0 | |||||||||
8.63268 | − | 14.9522i | 0.377481 | − | 0.653816i | −0.613214 | − | 0.789917i | ||
0.990695 | + | 0.136101i | ||||||||
0.397679 | + | 0.688801i | 0.0173727 | + | 0.0300904i | |||||
0 | 0 | |||||||||
−0.780519 | − | 1.35190i | −0.0340322 | − | 0.0589456i | |||||
−18.8615 | − | 32.6691i | −0.821622 | − | 1.42309i | |||||
0 | 0 | |||||||||
8.94412 | + | 15.4917i | 0.388875 | + | 0.673551i | |||||
3.15803 | − | 5.46986i | 0.137176 | − | 0.237596i | |||||
0 | 0 | |||||||||
25.6887 | 1.11375 | |||||||||
−28.4571 | + | 4.52490i | −1.23262 | + | 0.195995i | |||||
0 | 0 | |||||||||
3.87512 | − | 6.71191i | 0.167536 | − | 0.290181i | |||||
4.90466 | − | 8.49511i | 0.211849 | − | 0.366933i | |||||
0 | 0 | |||||||||
1.10853 | 0.0477921 | |||||||||
38.2752 | + | 66.2947i | 1.64863 | + | 2.85551i | |||||
0 | 0 | |||||||||
−17.8625 | −0.767970 | −0.383985 | − | 0.923339i | ||||||
−0.383985 | + | 0.923339i | ||||||||
−6.39438 | − | 11.0754i | −0.274662 | − | 0.475729i | |||||
0 | 0 | |||||||||
16.4959 | − | 28.5718i | 0.707257 | − | 1.22501i | |||||
11.4744 | 0.491510 | |||||||||
0 | 0 | |||||||||
−4.97952 | −0.212909 | −0.106455 | − | 0.994318i | ||||||
−0.106455 | + | 0.994318i | ||||||||
−18.6024 | + | 32.2203i | −0.794654 | + | 1.37638i | |||||
0 | 0 | |||||||||
−1.89857 | − | 3.28842i | −0.0809553 | − | 0.140219i | |||||
29.1639 | 1.24242 | |||||||||
0 | 0 | |||||||||
18.6598 | + | 32.3197i | 0.793495 | + | 1.37437i | |||||
3.03676 | 0.129020 | |||||||||
0 | 0 | |||||||||
−9.60857 | + | 16.6425i | −0.407494 | + | 0.705801i | |||||
−18.4656 | + | 31.9833i | −0.782412 | + | 1.35518i | 0.148121 | + | 0.988969i | ||
−0.930533 | + | 0.366208i | ||||||||
0 | 0 | |||||||||
8.36933 | − | 21.8425i | 0.353985 | − | 0.923840i | |||||
−7.96361 | −0.336524 | |||||||||
0 | 0 | |||||||||
−1.63040 | + | 2.82394i | −0.0687743 | + | 0.119121i | |||||
−4.68284 | − | 8.11092i | −0.197358 | − | 0.341835i | 0.750313 | − | 0.661083i | ||
−0.947671 | + | 0.319248i | ||||||||
0 | 0 | |||||||||
−3.12369 | − | 5.41040i | −0.131415 | − | 0.227617i | |||||
3.14033 | + | 5.43921i | 0.131998 | + | 0.228627i | |||||
0 | 0 | |||||||||
9.60308 | + | 16.6330i | 0.402936 | + | 0.697906i | |||||
−0.218417 | + | 0.378309i | −0.00915650 | + | 0.0158595i | −0.870567 | − | 0.492049i | ||
0.861411 | + | 0.507909i | ||||||||
0 | 0 | |||||||||
−4.69561 | −0.196505 | −0.0982525 | − | 0.995162i | ||||||
−0.0982525 | + | 0.995162i | ||||||||
22.1083 | + | 27.2675i | 0.924392 | + | 1.14011i | |||||
0 | 0 | |||||||||
11.0985 | − | 19.2231i | 0.463241 | − | 0.802357i | |||||
1.13046 | − | 1.95801i | 0.0471434 | − | 0.0816548i | |||||
0 | 0 | |||||||||
−30.2121 | −1.25775 | −0.628873 | − | 0.777508i | ||||||
−0.628873 | + | 0.777508i | ||||||||
5.36469 | + | 9.29191i | 0.223142 | + | 0.386493i | |||||
0 | 0 | |||||||||
−12.9938 | −0.539536 | |||||||||
5.21611 | + | 9.03457i | 0.216401 | + | 0.374817i | |||||
0 | 0 | |||||||||
−30.5229 | + | 52.8673i | −1.26413 | + | 2.18954i | |||||
−1.85257 | −0.0766599 | |||||||||
0 | 0 | |||||||||
4.70531 | 0.194375 | |||||||||
−21.8769 | + | 37.8919i | −0.902956 | + | 1.56397i | −0.0793186 | + | 0.996849i | ||
−0.823638 | + | 0.567117i | ||||||||
0 | 0 | |||||||||
11.6479 | + | 20.1748i | 0.479944 | + | 0.831287i | |||||
−1.96136 | −0.0807480 | |||||||||
0 | 0 | |||||||||
1.61486 | + | 2.79701i | 0.0663702 | + | 0.114957i | |||||
5.94151 | 0.243989 | 0.121994 | − | 0.992531i | ||||||
0.121994 | + | 0.992531i | ||||||||
0 | 0 | |||||||||
12.9416 | − | 22.4156i | 0.530556 | − | 0.918949i | |||||
17.0500 | − | 29.5314i | 0.698393 | − | 1.20965i | |||||
0 | 0 | |||||||||
1.82819 | − | 4.77126i | 0.0747602 | − | 0.195111i | |||||
37.0505 | 1.51384 | 0.756922 | − | 0.653506i | ||||||
0.756922 | + | 0.653506i | ||||||||
0 | 0 | |||||||||
18.6411 | − | 32.2874i | 0.760387 | − | 1.31703i | −0.182264 | − | 0.983250i | ||
0.942651 | − | 0.333779i | ||||||||
9.00946 | + | 15.6048i | 0.367198 | + | 0.636006i | |||||
0 | 0 | |||||||||
15.6392 | + | 27.0879i | 0.636351 | + | 1.10219i | |||||
12.8500 | + | 22.2569i | 0.522429 | + | 0.904873i | |||||
0 | 0 | |||||||||
−12.2464 | − | 21.2115i | −0.497068 | − | 0.860946i | 0.502927 | − | 0.864329i | ||
−0.999994 | + | 0.00338281i | ||||||||
−10.1870 | + | 17.6445i | −0.413139 | + | 0.715577i | |||||
0 | 0 | |||||||||
−1.54082 | −0.0623859 | |||||||||
7.33091 | + | 9.04167i | 0.296577 | + | 0.365787i | |||||
0 | 0 | |||||||||
−4.73601 | + | 8.20301i | −0.191286 | + | 0.331316i | −0.945677 | − | 0.325109i | ||
0.754391 | + | 0.656425i | ||||||||
−3.58538 | + | 6.21006i | −0.144694 | + | 0.250618i | |||||
0 | 0 | |||||||||
−60.6941 | −2.44544 | |||||||||
0.599037 | + | 1.03756i | 0.0241163 | + | 0.0417707i | 0.877832 | − | 0.478969i | ||
−0.853715 | + | 0.520740i | ||||||||
0 | 0 | |||||||||
−19.2559 | −0.773959 | −0.386979 | − | 0.922088i | ||||||
−0.386979 | + | 0.922088i | ||||||||
−5.18964 | − | 8.98873i | −0.208421 | − | 0.360996i | |||||
0 | 0 | |||||||||
−7.59517 | + | 13.1552i | −0.304538 | + | 0.527476i | |||||
−3.42720 | −0.137308 | |||||||||
0 | 0 | |||||||||
1.00000 | 0.0400000 | |||||||||
−5.91680 | + | 10.2482i | −0.236483 | + | 0.409600i | |||||
0 | 0 | |||||||||
16.5974 | + | 28.7476i | 0.662309 | + | 1.14715i | |||||
−10.4972 | −0.418551 | |||||||||
0 | 0 | |||||||||
−3.12995 | − | 5.42123i | −0.124601 | − | 0.215816i | 0.796976 | − | 0.604011i | ||
−0.921577 | + | 0.388196i | ||||||||
−19.0412 | −0.757417 | |||||||||
0 | 0 | |||||||||
−7.00310 | + | 12.1297i | −0.278128 | + | 0.481733i | |||||
5.60171 | − | 9.70245i | 0.222297 | − | 0.385030i | |||||
0 | 0 | |||||||||
−44.9950 | + | 7.15454i | −1.78277 | + | 0.283473i | |||||
−30.7001 | −1.21543 | |||||||||
0 | 0 | |||||||||
5.66519 | − | 9.81240i | 0.223936 | − | 0.387869i | |||||
4.42209 | + | 7.65928i | 0.174662 | + | 0.302523i | 0.940044 | − | 0.341053i | ||
−0.765382 | + | 0.643576i | ||||||||
0 | 0 | |||||||||
16.0506 | + | 27.8004i | 0.632973 | + | 1.09634i | 0.986941 | + | 0.161084i | ||
−0.353968 | + | 0.935258i | ||||||||
−8.05072 | − | 13.9443i | −0.317243 | − | 0.549481i | |||||
0 | 0 | |||||||||
−6.60308 | − | 11.4369i | −0.259795 | − | 0.449978i | |||||
−7.37834 | + | 12.7797i | −0.290072 | + | 0.502420i | −0.973827 | − | 0.227292i | ||
0.683754 | + | 0.729712i | ||||||||
0 | 0 | |||||||||
18.9569 | 0.744125 | |||||||||
2.23189 | − | 0.354887i | 0.0875419 | − | 0.0139198i | |||||
0 | 0 | |||||||||
−3.90517 | + | 6.76395i | −0.152938 | + | 0.264897i | |||||
13.3246 | − | 23.0788i | 0.521430 | − | 0.903144i | −0.478259 | − | 0.878219i | ||
0.999689 | − | 0.0249251i | ||||||||
0 | 0 | |||||||||
−0.494893 | −0.0193371 | |||||||||
−7.18114 | − | 12.4381i | −0.280377 | − | 0.485626i | |||||
0 | 0 | |||||||||
−8.96684 | −0.349564 | |||||||||
1.22477 | + | 2.12136i | 0.0477101 | + | 0.0826363i | 0.888894 | − | 0.458112i | ||
−0.841184 | + | 0.540749i | ||||||||
0 | 0 | |||||||||
−8.23556 | + | 14.2644i | −0.320326 | + | 0.554821i | −0.980555 | − | 0.196243i | ||
0.660229 | + | 0.751064i | ||||||||
14.2211 | 0.552718 | |||||||||
0 | 0 | |||||||||
−5.32272 | −0.206562 | |||||||||
−7.99209 | + | 13.8427i | −0.309920 | + | 0.536797i | |||||
0 | 0 | |||||||||
−9.13983 | − | 15.8307i | −0.353896 | − | 0.612965i | |||||
4.14632 | 0.160426 | |||||||||
0 | 0 | |||||||||
1.35971 | + | 2.35509i | 0.0525302 | + | 0.0909850i | |||||
14.8923 | 0.574911 | |||||||||
0 | 0 | |||||||||
0.693745 | − | 1.20160i | 0.0267419 | − | 0.0463184i | −0.852345 | − | 0.522980i | ||
0.879087 | + | 0.476662i | ||||||||
−0.0523246 | + | 0.0906288i | −0.00201547 | + | 0.00349089i | |||||
0 | 0 | |||||||||
−19.8623 | + | 6.48035i | −0.763935 | + | 0.249244i | |||||
−23.0636 | −0.886407 | −0.443203 | − | 0.896421i | ||||||
−0.443203 | + | 0.896421i | ||||||||
0 | 0 | |||||||||
14.0051 | − | 24.2576i | 0.537467 | − | 0.930920i | |||||
6.60308 | + | 11.4369i | 0.253217 | + | 0.438584i | |||||
0 | 0 | |||||||||
−12.2615 | − | 21.2375i | −0.469516 | − | 0.813225i | |||||
10.5080 | + | 18.2004i | 0.402078 | + | 0.696419i | 0.993976 | − | 0.109593i | ||
−0.591899 | + | 0.806012i | ||||||||
0 | 0 | |||||||||
−11.5749 | − | 20.0483i | −0.442254 | − | 0.766006i | |||||
7.82713 | − | 13.5570i | 0.298841 | − | 0.517608i | |||||
0 | 0 | |||||||||
11.6590 | 0.444494 | |||||||||
−22.8819 | − | 28.2217i | −0.871731 | − | 1.07516i | |||||
0 | 0 | |||||||||
12.0289 | − | 20.8346i | 0.457600 | − | 0.792587i | −0.541234 | − | 0.840872i | ||
0.998834 | + | 0.0482858i | ||||||||
8.23396 | − | 14.2616i | 0.313008 | − | 0.542146i | |||||
0 | 0 | |||||||||
9.17266 | 0.348190 | |||||||||
−5.97871 | − | 10.3554i | −0.226785 | − | 0.392804i | |||||
0 | 0 | |||||||||
46.6802 | 1.76814 | |||||||||
0.697969 | + | 1.20892i | 0.0264185 | + | 0.0457582i | |||||
0 | 0 | |||||||||
3.56082 | − | 6.16752i | 0.134586 | − | 0.233110i | |||||
−20.0188 | −0.756099 | −0.378050 | − | 0.925785i | ||||||
−0.378050 | + | 0.925785i | ||||||||
0 | 0 | |||||||||
6.48252 | 0.244493 | |||||||||
−0.163542 | + | 0.283264i | −0.00616373 | + | 0.0106759i | |||||
0 | 0 | |||||||||
−1.86138 | − | 3.22400i | −0.0700539 | − | 0.121337i | |||||
39.5134 | 1.48605 | |||||||||
0 | 0 | |||||||||
−8.52960 | − | 14.7737i | −0.320336 | − | 0.554838i | 0.660221 | − | 0.751071i | ||
−0.980557 | + | 0.196233i | ||||||||
−5.32450 | −0.199825 | |||||||||
0 | 0 | |||||||||
0.874312 | − | 1.51435i | 0.0327662 | − | 0.0567528i | |||||
7.30081 | − | 12.6454i | 0.273417 | − | 0.473573i | |||||
0 | 0 | |||||||||
−21.5716 | + | 3.43005i | −0.806734 | + | 0.128277i | |||||
−17.0401 | −0.636820 | |||||||||
0 | 0 | |||||||||
−3.42335 | + | 5.92942i | −0.127758 | + | 0.221284i | |||||
−21.0559 | − | 36.4700i | −0.785254 | − | 1.36010i | −0.928847 | − | 0.370463i | ||
0.143593 | − | 0.989637i | ||||||||
0 | 0 | |||||||||
−0.250297 | − | 0.433527i | −0.00932154 | − | 0.0161454i | |||||
−1.87680 | − | 3.25071i | −0.0698473 | − | 0.120979i | |||||
0 | 0 | |||||||||
13.5496 | + | 23.4686i | 0.503566 | + | 0.872202i | |||||
4.04253 | − | 7.00186i | 0.150136 | − | 0.260043i | |||||
0 | 0 | |||||||||
3.62167 | 0.134320 | 0.0671601 | − | 0.997742i | ||||||
0.0671601 | + | 0.997742i | ||||||||
12.9249 | − | 33.7317i | 0.479027 | − | 1.25018i | |||||
0 | 0 | |||||||||
0.256793 | − | 0.444778i | 0.00950432 | − | 0.0164620i | |||||
−18.9469 | + | 32.8171i | −0.700778 | + | 1.21378i | |||||
0 | 0 | |||||||||
−10.2438 | −0.378362 | −0.189181 | − | 0.981942i | ||||||
−0.189181 | + | 0.981942i | ||||||||
2.70914 | + | 4.69237i | 0.0999963 | + | 0.173199i | |||||
0 | 0 | |||||||||
12.7703 | 0.470719 | |||||||||
−13.1419 | − | 22.7624i | −0.484087 | − | 0.838463i | |||||
0 | 0 | |||||||||
−4.63472 | + | 8.02758i | −0.170491 | + | 0.295299i | −0.938592 | − | 0.345030i | ||
0.768101 | + | 0.640329i | ||||||||
−2.88824 | −0.106174 | |||||||||
0 | 0 | |||||||||
27.9881 | 1.02748 | |||||||||
22.3835 | − | 38.7694i | 0.821172 | − | 1.42231i | −0.0836373 | − | 0.996496i | ||
0.904810 | − | 0.425816i | ||||||||
0 | 0 | |||||||||
10.6089 | + | 18.3752i | 0.388681 | + | 0.673215i | |||||
−11.4735 | −0.420076 | |||||||||
0 | 0 | |||||||||
−28.4346 | − | 49.2501i | −1.03967 | − | 1.80076i | |||||
34.3434 | 1.25488 | |||||||||
0 | 0 | |||||||||
−7.67016 | + | 13.2851i | −0.279888 | + | 0.484780i | −0.971357 | − | 0.237626i | ||
0.691469 | + | 0.722406i | ||||||||
−2.90095 | + | 5.02459i | −0.105787 | + | 0.183228i | |||||
0 | 0 | |||||||||
6.53761 | − | 17.0620i | 0.238086 | − | 0.621362i | |||||
−19.4623 | −0.708305 | |||||||||
0 | 0 | |||||||||
−3.00148 | + | 5.19872i | −0.109091 | + | 0.188951i | −0.915402 | − | 0.402541i | ||
0.806311 | + | 0.591491i | ||||||||
−9.40381 | − | 16.2879i | −0.341562 | − | 0.591602i | |||||
0 | 0 | |||||||||
−4.07772 | − | 7.06282i | −0.147914 | − | 0.256195i | |||||
−10.4825 | − | 18.1563i | −0.379992 | − | 0.658165i | 0.611069 | − | 0.791578i | ||
−0.991061 | + | 0.133412i | ||||||||
0 | 0 | |||||||||
25.4231 | + | 44.0341i | 0.920378 | + | 1.59414i | |||||
8.83198 | − | 15.2974i | 0.319530 | − | 0.553442i | |||||
0 | 0 | |||||||||
9.11103 | 0.329195 | |||||||||
−4.03689 | + | 10.5356i | −0.145764 | + | 0.380418i | |||||
0 | 0 | |||||||||
21.9076 | − | 37.9451i | 0.790008 | − | 1.36833i | −0.135953 | − | 0.990715i | ||
0.925961 | − | 0.377619i | ||||||||
8.41307 | − | 14.5719i | 0.303186 | − | 0.525134i | |||||
0 | 0 | |||||||||
10.6902 | 0.384749 | |||||||||
−1.68610 | − | 2.92041i | −0.0606449 | − | 0.105040i | 0.834109 | − | 0.551600i | ||
−0.894754 | + | 0.446560i | ||||||||
0 | 0 | |||||||||
6.45826 | 0.231988 | |||||||||
7.14568 | + | 12.3767i | 0.256515 | + | 0.444297i | |||||
0 | 0 | |||||||||
−7.68631 | + | 13.3131i | −0.275568 | + | 0.477297i | |||||
−28.8273 | −1.03284 | |||||||||
0 | 0 | |||||||||
51.4623 | 1.84146 | |||||||||
−4.13875 | + | 7.16853i | −0.148002 | + | 0.256346i | |||||
0 | 0 | |||||||||
−11.3545 | − | 19.6665i | −0.405516 | − | 0.702375i | |||||
−20.6547 | −0.737198 | |||||||||
0 | 0 | |||||||||
17.8922 | + | 30.9902i | 0.637789 | + | 1.10468i | 0.985917 | + | 0.167235i | ||
−0.348128 | + | 0.937447i | ||||||||
38.5487 | 1.37324 | |||||||||
0 | 0 | |||||||||
2.63938 | − | 4.57154i | 0.0939049 | − | 0.162648i | |||||
13.8419 | − | 23.9749i | 0.492162 | − | 0.852450i | |||||
0 | 0 | |||||||||
−3.17133 | + | 8.27662i | −0.112617 | + | 0.293911i | |||||
5.91748 | 0.210003 | |||||||||
0 | 0 | |||||||||
−16.8028 | + | 29.1034i | −0.595561 | + | 1.03154i | |||||
−14.1625 | − | 24.5303i | −0.501663 | − | 0.868906i | −0.999998 | − | 0.00192156i | ||
0.498335 | − | 0.866985i | ||||||||
0 | 0 | |||||||||
−9.42866 | − | 16.3309i | −0.333562 | − | 0.577746i | |||||
2.82414 | + | 4.89155i | 0.0998483 | + | 0.172942i | |||||
0 | 0 | |||||||||
−0.153055 | − | 0.265098i | −0.00540455 | − | 0.00936095i | |||||
−2.48195 | + | 4.29887i | −0.0875861 | + | 0.151704i | |||||
0 | 0 | |||||||||
10.0187 | 0.353114 | |||||||||
14.4141 | − | 2.29195i | 0.507716 | − | 0.0807306i | |||||
0 | 0 | |||||||||
−10.0803 | + | 17.4595i | −0.354622 | + | 0.614224i | |||||
−14.5698 | + | 25.2357i | −0.512248 | + | 0.887239i | 0.487651 | + | 0.873038i | ||
−0.999899 | + | 0.0142007i | ||||||||
0 | 0 | |||||||||
−16.3733 | −0.574946 | −0.287473 | − | 0.957789i | ||||||
−0.287473 | + | 0.957789i | ||||||||
−28.7894 | − | 49.8647i | −1.01031 | − | 1.74991i | |||||
0 | 0 | |||||||||
−6.82399 | −0.239181 | |||||||||
−2.42990 | − | 4.20871i | −0.0851157 | − | 0.147425i | |||||
0 | 0 | |||||||||
11.7006 | − | 20.2661i | 0.409354 | − | 0.709022i | |||||
−12.9873 | −0.454091 | |||||||||
0 | 0 | |||||||||
12.8438 | 0.448525 | |||||||||
17.5806 | − | 30.4505i | 0.613566 | − | 1.06273i | −0.377068 | − | 0.926186i | ||
0.990634 | − | 0.136543i | ||||||||
0 | 0 | |||||||||
−9.84233 | − | 17.0474i | −0.343082 | − | 0.594236i | 0.641921 | − | 0.766771i | ||
−0.985003 | + | 0.172535i | ||||||||
0.255413 | 0.00889772 | |||||||||
0 | 0 | |||||||||
−4.34566 | − | 7.52690i | −0.151205 | − | 0.261894i | |||||
−11.6881 | −0.406436 | −0.203218 | − | 0.979134i | ||||||
−0.203218 | + | 0.979134i | ||||||||
0 | 0 | |||||||||
22.7601 | − | 39.4217i | 0.790493 | − | 1.36917i | −0.135170 | − | 0.990822i | ||
0.925662 | − | 0.378351i | ||||||||
0.737805 | − | 1.27792i | 0.0256096 | − | 0.0443571i | |||||
0 | 0 | |||||||||
−0.122601 | − | 0.151212i | −0.00425044 | − | 0.00524234i | |||||
73.8084 | 2.55731 | |||||||||
0 | 0 | |||||||||
−1.28997 | + | 2.23430i | −0.0446414 | + | 0.0773212i | |||||
17.5597 | + | 30.4143i | 0.607315 | + | 1.05190i | |||||
0 | 0 | |||||||||
−1.42516 | − | 2.46845i | −0.0492313 | − | 0.0852711i | |||||
14.5239 | + | 25.1561i | 0.501420 | + | 0.868485i | 0.999999 | + | 0.00164022i | ||
−0.498579 | + | 0.866844i | ||||||||
0 | 0 | |||||||||
−18.1841 | − | 31.4957i | −0.627037 | − | 1.08606i | |||||
9.74634 | − | 16.8812i | 0.335881 | − | 0.581763i | |||||
0 | 0 | |||||||||
−21.1029 | −0.726393 | |||||||||
2.68740 | − | 12.7192i | 0.0924492 | − | 0.437554i | |||||
0 | 0 | |||||||||
−56.9420 | + | 98.6264i | −1.95655 | + | 3.38884i | |||||
9.05471 | − | 15.6832i | 0.310940 | − | 0.538564i | |||||
0 | 0 | |||||||||
−3.66112 | −0.125576 | |||||||||
−2.03159 | − | 3.51882i | −0.0696422 | − | 0.120624i | |||||
0 | 0 | |||||||||
−48.3320 | −1.65486 | −0.827429 | − | 0.561571i | ||||||
−0.827429 | + | 0.561571i | ||||||||
−3.41389 | − | 5.91303i | −0.116821 | − | 0.202340i | |||||
0 | 0 | |||||||||
−8.76134 | + | 15.1751i | −0.299457 | + | 0.518674i | |||||
41.2151 | 1.40788 | 0.703940 | − | 0.710260i | ||||||
0.703940 | + | 0.710260i | ||||||||
0 | 0 | |||||||||
−52.5448 | −1.79280 | −0.896402 | − | 0.443242i | ||||||
−0.896402 | + | 0.443242i | ||||||||
−5.21314 | + | 9.02943i | −0.177767 | + | 0.307901i | |||||
0 | 0 | |||||||||
−10.7232 | − | 18.5731i | −0.365234 | − | 0.632603i | |||||
22.9888 | 0.782549 | 0.391275 | − | 0.920274i | ||||||
0.391275 | + | 0.920274i | ||||||||
0 | 0 | |||||||||
5.12339 | + | 8.87397i | 0.174200 | + | 0.301724i | |||||
3.48700 | 0.118493 | |||||||||
0 | 0 | |||||||||
22.9967 | − | 39.8315i | 0.780559 | − | 1.35197i | |||||
−25.5101 | + | 44.1848i | −0.865371 | + | 1.49887i | |||||
0 | 0 | |||||||||
15.4491 | − | 2.45652i | 0.523473 | − | 0.0832360i | |||||
−25.9427 | −0.878532 | |||||||||
0 | 0 | |||||||||
2.55588 | − | 4.42691i | 0.0864539 | − | 0.149743i | |||||
2.21563 | + | 3.83759i | 0.0749021 | + | 0.129734i | |||||
0 | 0 | |||||||||
26.1492 | + | 45.2917i | 0.882995 | + | 1.52939i | 0.847994 | + | 0.530006i | ||
0.0350015 | + | 0.999387i | ||||||||
−0.883615 | − | 1.53047i | −0.0298206 | − | 0.0516508i | |||||
0 | 0 | |||||||||
−5.44359 | − | 9.42857i | −0.183503 | − | 0.317837i | |||||
−16.8483 | + | 29.1821i | −0.567634 | + | 0.983171i | 0.429165 | + | 0.903226i | ||
−0.996799 | + | 0.0799447i | ||||||||
0 | 0 | |||||||||
−20.4392 | −0.687835 | −0.343917 | − | 0.939000i | ||||||
−0.343917 | + | 0.939000i | ||||||||
33.4266 | − | 5.31508i | 1.12426 | − | 0.178766i | |||||
0 | 0 | |||||||||
4.72082 | − | 8.17671i | 0.158599 | − | 0.274702i | |||||
−10.1003 | + | 17.4942i | −0.339134 | + | 0.587397i | −0.984270 | − | 0.176670i | ||
0.645136 | + | 0.764068i | ||||||||
0 | 0 | |||||||||
49.6454 | 1.66505 | |||||||||
0.242384 | + | 0.419822i | 0.00812474 | + | 0.0140725i | |||||
0 | 0 | |||||||||
34.0723 | 1.14083 | |||||||||
5.82265 | + | 10.0851i | 0.194847 | + | 0.337486i | |||||
0 | 0 | |||||||||
5.30141 | − | 9.18232i | 0.177207 | − | 0.306931i | |||||
50.2080 | 1.67733 | |||||||||
0 | 0 | |||||||||
2.40974 | 0.0804140 | |||||||||
26.1077 | − | 45.2199i | 0.870741 | − | 1.50817i | |||||
0 | 0 | |||||||||
29.4296 | + | 50.9735i | 0.980442 | + | 1.69817i | |||||
30.3458 | 1.01040 | |||||||||
0 | 0 | |||||||||
7.06242 | + | 12.2325i | 0.234893 | + | 0.406846i | |||||
−16.8618 | −0.560505 | |||||||||
0 | 0 | |||||||||
20.9015 | − | 36.2024i | 0.694022 | − | 1.20208i | −0.276488 | − | 0.961017i | ||
0.970509 | − | 0.241063i | ||||||||
−7.42450 | + | 12.8596i | −0.246391 | + | 0.426761i | |||||
0 | 0 | |||||||||
6.30696 | + | 7.77878i | 0.209074 | + | 0.257864i | |||||
3.42332 | 0.113420 | 0.0567098 | − | 0.998391i | ||||||
0.0567098 | + | 0.998391i | ||||||||
0 | 0 | |||||||||
−7.13103 | + | 12.3513i | −0.236003 | + | 0.408769i | |||||
9.53602 | + | 16.5169i | 0.315423 | + | 0.546329i | |||||
0 | 0 | |||||||||
2.54330 | + | 4.40513i | 0.0840331 | + | 0.145550i | |||||
−1.09650 | − | 1.89920i | −0.0362097 | − | 0.0627170i | |||||
0 | 0 | |||||||||
−3.52603 | − | 6.10727i | −0.116313 | − | 0.201460i | 0.801991 | − | 0.597336i | ||
−0.918304 | + | 0.395876i | ||||||||
−2.55588 | + | 4.42691i | −0.0842648 | + | 0.145951i | |||||
0 | 0 | |||||||||
19.3002 | 0.635619 | |||||||||
−10.9589 | + | 28.6009i | −0.360718 | + | 0.941411i | |||||
0 | 0 | |||||||||
0.898570 | − | 1.55637i | 0.0295448 | − | 0.0511731i | |||||
−4.04388 | + | 7.00421i | −0.132890 | + | 0.230173i | |||||
0 | 0 | |||||||||
45.6666 | 1.49908 | |||||||||
−5.02099 | − | 8.69661i | −0.164733 | − | 0.285326i | 0.771827 | − | 0.635832i | ||
−0.936561 | + | 0.350506i | ||||||||
0 | 0 | |||||||||
−45.5802 | −1.49383 | |||||||||
−2.27990 | − | 3.94890i | −0.0746806 | − | 0.129351i | |||||
0 | 0 | |||||||||
−3.20748 | + | 5.55552i | −0.104952 | + | 0.181782i | |||||
35.3855 | 1.15723 | |||||||||
0 | 0 | |||||||||
5.84613 | 0.190985 | 0.0954924 | − | 0.995430i | ||||||
0.0954924 | + | 0.995430i | ||||||||
−6.02524 | + | 10.4360i | −0.196731 | + | 0.340748i | |||||
0 | 0 | |||||||||
−2.59424 | − | 4.49336i | −0.0846148 | − | 0.146557i | |||||
46.1640 | 1.50490 | 0.752452 | − | 0.658647i | ||||||
0.752452 | + | 0.658647i | ||||||||
0 | 0 | |||||||||
9.03435 | + | 15.6479i | 0.294199 | + | 0.509567i | |||||
−5.62363 | −0.183033 | |||||||||
0 | 0 | |||||||||
−12.3170 | + | 21.3336i | −0.400460 | + | 0.693617i | |||||
−7.24152 | + | 12.5427i | −0.235318 | + | 0.407582i | −0.959365 | − | 0.282168i | ||
0.724047 | + | 0.689750i | ||||||||
0 | 0 | |||||||||
−1.86062 | − | 2.29483i | −0.0603984 | − | 0.0744933i | |||||
2.26092 | 0.0733539 | |||||||||
0 | 0 | |||||||||
−29.2600 | + | 50.6798i | −0.948323 | + | 1.64254i | |||||
−19.2212 | − | 33.2920i | −0.622635 | − | 1.07843i | −0.988993 | − | 0.147961i | ||
0.366359 | − | 0.930474i | ||||||||
0 | 0 | |||||||||
5.49549 | + | 9.51847i | 0.177830 | + | 0.308010i | |||||
−0.509755 | − | 0.882922i | −0.0164867 | − | 0.0285557i | |||||
0 | 0 | |||||||||
−10.9702 | − | 19.0009i | −0.354431 | − | 0.613892i | |||||
51.2914 | − | 88.8394i | 1.65629 | − | 2.86877i | |||||
0 | 0 | |||||||||
10.7092 | 0.345457 | |||||||||
1.45317 | − | 3.79253i | 0.0468522 | − | 0.122276i | |||||
0 | 0 | |||||||||
−0.721977 | + | 1.25050i | −0.0232533 | + | 0.0402759i | |||||
−3.32586 | + | 5.76057i | −0.107063 | + | 0.185439i | |||||
0 | 0 | |||||||||
44.2627 | 1.42339 | 0.711696 | − | 0.702487i | ||||||
0.711696 | + | 0.702487i | ||||||||
−29.0529 | − | 50.3211i | −0.933796 | − | 1.61738i | |||||
0 | 0 | |||||||||
−3.96197 | −0.127211 | |||||||||
−22.2030 | − | 38.4567i | −0.712527 | − | 1.23413i | −0.963906 | − | 0.266244i | ||
0.251378 | − | 0.967889i | ||||||||
0 | 0 | |||||||||
26.4933 | − | 45.8877i | 0.849335 | − | 1.47109i | |||||
0.960150 | 0.0307652 | |||||||||
0 | 0 | |||||||||
−4.41784 | −0.141412 | |||||||||
−1.69219 | + | 2.93096i | −0.0541379 | + | 0.0937696i | −0.891824 | − | 0.452382i | ||
0.837686 | + | 0.546152i | ||||||||
0 | 0 | |||||||||
−2.34269 | − | 4.05766i | −0.0748727 | − | 0.129683i | |||||
20.3079 | 0.648714 | |||||||||
0 | 0 | |||||||||
7.84266 | + | 13.5839i | 0.250269 | + | 0.433479i | |||||
−39.6424 | −1.26440 | −0.632198 | − | 0.774807i | ||||||
−0.632198 | + | 0.774807i | ||||||||
0 | 0 | |||||||||
−11.9930 | + | 20.7725i | −0.382129 | + | 0.661866i | |||||
−14.8002 | + | 25.6347i | −0.471334 | + | 0.816375i | |||||
0 | 0 | |||||||||
−20.6426 | + | 3.28232i | −0.656727 | + | 0.104424i | |||||
−14.6677 | −0.466407 | |||||||||
0 | 0 | |||||||||
22.6722 | − | 39.2693i | 0.720205 | − | 1.24743i | −0.240712 | − | 0.970596i | ||
0.960917 | − | 0.276835i | ||||||||
18.2390 | + | 31.5909i | 0.579089 | + | 1.00301i | |||||
0 | 0 | |||||||||
−11.7971 | − | 20.4332i | −0.374182 | − | 0.648103i | |||||
−10.4552 | − | 18.1089i | −0.331451 | − | 0.574090i | |||||
0 | 0 | |||||||||
−26.9984 | − | 46.7626i | −0.855048 | − | 1.48099i | −0.876601 | − | 0.481218i | ||
0.0215531 | − | 0.999768i | ||||||||
8.70733 | − | 15.0815i | 0.275626 | − | 0.477398i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 585.2.j.i.451.3 | yes | 10 | |
3.2 | odd | 2 | 585.2.j.h.451.3 | yes | 10 | ||
13.3 | even | 3 | inner | 585.2.j.i.406.3 | yes | 10 | |
13.4 | even | 6 | 7605.2.a.cn.1.3 | 5 | |||
13.9 | even | 3 | 7605.2.a.cm.1.3 | 5 | |||
39.17 | odd | 6 | 7605.2.a.cl.1.3 | 5 | |||
39.29 | odd | 6 | 585.2.j.h.406.3 | ✓ | 10 | ||
39.35 | odd | 6 | 7605.2.a.co.1.3 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.j.h.406.3 | ✓ | 10 | 39.29 | odd | 6 | ||
585.2.j.h.451.3 | yes | 10 | 3.2 | odd | 2 | ||
585.2.j.i.406.3 | yes | 10 | 13.3 | even | 3 | inner | |
585.2.j.i.451.3 | yes | 10 | 1.1 | even | 1 | trivial | |
7605.2.a.cl.1.3 | 5 | 39.17 | odd | 6 | |||
7605.2.a.cm.1.3 | 5 | 13.9 | even | 3 | |||
7605.2.a.cn.1.3 | 5 | 13.4 | even | 6 | |||
7605.2.a.co.1.3 | 5 | 39.35 | odd | 6 |