Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [784,2,Mod(165,784)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(784, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("784.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 784.x (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | no (minimal twist has level 112) |
Sato-Tate group: |
Embedding invariants
Embedding label | 165.12 | ||
Character | 784.165 | ||
Dual form | 784.2.x.o.765.12 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.40944 | − | 0.116052i | 0.996627 | − | 0.0820615i | |||||
0.312249 | + | 1.16533i | 0.180277 | + | 0.672803i | 0.995592 | + | 0.0937859i | ||
−0.815315 | + | 0.579017i | ||||||||
1.97306 | − | 0.327139i | 0.986532 | − | 0.163569i | |||||
0.262843 | − | 0.980942i | 0.117547 | − | 0.438691i | −0.881918 | − | 0.471403i | ||
0.999465 | + | 0.0327122i | ||||||||
0.575337 | + | 1.60623i | 0.234880 | + | 0.655740i | |||||
0 | 0 | |||||||||
2.74296 | − | 0.690063i | 0.969782 | − | 0.243974i | |||||
1.33758 | − | 0.772254i | 0.445861 | − | 0.257418i | |||||
0.256621 | − | 1.41309i | 0.0811507 | − | 0.446857i | |||||
−2.36993 | + | 0.635020i | −0.714560 | + | 0.191466i | −0.597743 | − | 0.801688i | ||
−0.116817 | + | 0.993153i | ||||||||
0.997312 | + | 2.19712i | 0.287899 | + | 0.634254i | |||||
2.65786 | − | 2.65786i | 0.737157 | − | 0.737157i | −0.234870 | − | 0.972027i | ||
0.972027 | + | 0.234870i | ||||||||
0 | 0 | |||||||||
1.22519 | 0.316343 | |||||||||
3.78596 | − | 1.29093i | 0.946490 | − | 0.322733i | |||||
0.509128 | − | 0.881836i | 0.123482 | − | 0.213877i | −0.797657 | − | 0.603112i | ||
0.921138 | + | 0.389235i | ||||||||
1.79563 | − | 1.24368i | 0.423233 | − | 0.293138i | |||||
−0.0936561 | − | 0.0250951i | −0.0214862 | − | 0.00575721i | 0.248060 | − | 0.968745i | ||
−0.269546 | + | 0.962987i | ||||||||
0.197701 | − | 2.02145i | 0.0442073 | − | 0.452009i | |||||
0 | 0 | |||||||||
−3.26658 | + | 1.17006i | −0.696438 | + | 0.249458i | |||||
−1.67238 | + | 0.965551i | −0.348716 | + | 0.201331i | −0.664120 | − | 0.747626i | ||
0.315404 | + | 0.948958i | ||||||||
1.66064 | + | 2.98098i | 0.338976 | + | 0.608489i | |||||
3.43697 | + | 1.98433i | 0.687393 | + | 0.396867i | |||||
3.43765 | − | 4.05455i | 0.674179 | − | 0.795163i | |||||
3.87683 | + | 3.87683i | 0.746096 | + | 0.746096i | |||||
0 | 0 | |||||||||
−5.05325 | + | 5.05325i | −0.938365 | + | 0.938365i | −0.998208 | − | 0.0598432i | ||
0.0598432 | + | 0.998208i | ||||||||
1.72684 | − | 0.142187i | 0.315276 | − | 0.0259596i | |||||
−4.28249 | + | 7.41749i | −0.769158 | + | 1.33222i | 0.168862 | + | 0.985640i | ||
−0.938020 | + | 0.346581i | ||||||||
5.18628 | − | 2.25887i | 0.916814 | − | 0.399315i | |||||
−1.48001 | − | 2.56346i | −0.257637 | − | 0.446241i | |||||
0.615248 | − | 1.30198i | 0.105514 | − | 0.223288i | |||||
0 | 0 | |||||||||
2.38650 | − | 1.96128i | 0.397751 | − | 0.326880i | |||||
2.06704 | − | 7.71428i | 0.339818 | − | 1.26822i | −0.558732 | − | 0.829349i | ||
0.898550 | − | 0.438871i | ||||||||
−0.134915 | − | 0.0245011i | −0.0218862 | − | 0.00397460i | |||||
3.92719 | + | 2.26737i | 0.628854 | + | 0.363069i | |||||
0.0440545 | − | 2.87206i | 0.00696562 | − | 0.454113i | |||||
8.51782i | 1.33026i | 0.746728 | + | 0.665130i | ||||||
−0.746728 | + | 0.665130i | ||||||||
0 | 0 | |||||||||
−4.47950 | − | 4.47950i | −0.683117 | − | 0.683117i | 0.277584 | − | 0.960701i | ||
−0.960701 | + | 0.277584i | ||||||||
−4.46828 | + | 2.02823i | −0.673618 | + | 0.305767i | |||||
−0.405963 | − | 1.51507i | −0.0605174 | − | 0.225854i | |||||
−2.24507 | + | 1.55497i | −0.331018 | + | 0.229268i | |||||
−6.02995 | − | 10.4442i | −0.879559 | − | 1.52344i | −0.851826 | − | 0.523825i | ||
−0.0277324 | − | 0.999615i | ||||||||
2.68652 | + | 4.00880i | 0.387766 | + | 0.578620i | |||||
0 | 0 | |||||||||
5.07450 | + | 2.39794i | 0.717642 | + | 0.339120i | |||||
1.18660 | + | 0.317949i | 0.166158 | + | 0.0445218i | |||||
4.37464 | − | 6.11361i | 0.606653 | − | 0.847806i | |||||
−1.42191 | + | 0.381000i | −0.195315 | + | 0.0523344i | −0.355150 | − | 0.934809i | ||
0.159836 | + | 0.987144i | ||||||||
5.91409 | + | 5.01426i | 0.804806 | + | 0.682354i | |||||
2.49167i | 0.335977i | |||||||||
0 | 0 | |||||||||
− | 0.116976i | − | 0.0154939i | |||||||
−6.53583 | + | 7.70871i | −0.858196 | + | 1.01220i | |||||
−6.96158 | + | 1.86535i | −0.906320 | + | 0.242848i | −0.681729 | − | 0.731605i | ||
−0.224592 | + | 0.974453i | ||||||||
2.41738 | − | 0.400808i | 0.312083 | − | 0.0517441i | |||||
−4.42654 | − | 1.18609i | −0.566760 | − | 0.151863i | −0.0359500 | − | 0.999354i | ||
−0.530810 | + | 0.847491i | ||||||||
−5.17511 | + | 10.9515i | −0.657240 | + | 1.39085i | |||||
0 | 0 | |||||||||
7.04763 | − | 3.78563i | 0.880953 | − | 0.473203i | |||||
−1.90861 | − | 3.30580i | −0.236734 | − | 0.410034i | |||||
−2.38349 | − | 3.44129i | −0.293388 | − | 0.423594i | |||||
0.907543 | + | 3.38700i | 0.110874 | + | 0.413787i | 0.998945 | − | 0.0459185i | ||
−0.888071 | + | 0.459706i | ||||||||
0.716059 | − | 1.90647i | 0.0868350 | − | 0.231194i | |||||
−1.64738 | − | 1.64738i | −0.198322 | − | 0.198322i | |||||
0 | 0 | |||||||||
5.43131i | 0.644578i | 0.946641 | + | 0.322289i | ||||||
−0.946641 | + | 0.322289i | ||||||||
3.13603 | − | 3.04128i | 0.369585 | − | 0.358418i | |||||
7.34303 | + | 4.23950i | 0.859436 | + | 0.496196i | 0.863824 | − | 0.503795i | ||
−0.00438712 | + | 0.999990i | ||||||||
2.01811 | − | 11.1127i | 0.234600 | − | 1.29183i | |||||
−1.23921 | + | 4.62480i | −0.143092 | + | 0.534026i | |||||
−0.192999 | − | 0.0188756i | −0.0221385 | − | 0.00216518i | |||||
0 | 0 | |||||||||
5.79829 | + | 2.73996i | 0.656527 | + | 0.310240i | |||||
−0.433595 | − | 0.751008i | −0.0487832 | − | 0.0844950i | 0.840603 | − | 0.541652i | ||
−0.889386 | + | 0.457157i | ||||||||
−0.271217 | − | 4.05312i | −0.0303230 | − | 0.453153i | |||||
−0.990483 | + | 1.71557i | −0.110054 | + | 0.190619i | |||||
0.988514 | + | 12.0054i | 0.109163 | + | 1.32577i | |||||
5.44318 | − | 5.44318i | 0.597466 | − | 0.597466i | −0.342171 | − | 0.939638i | ||
0.939638 | + | 0.342171i | ||||||||
0 | 0 | |||||||||
−0.731209 | − | 0.731209i | −0.0793108 | − | 0.0793108i | |||||
−6.83345 | − | 5.79374i | −0.736870 | − | 0.624755i | |||||
−7.46657 | − | 4.31083i | −0.800500 | − | 0.462169i | |||||
−6.06240 | + | 3.37723i | −0.646254 | + | 0.360014i | |||||
3.93155 | − | 2.26988i | 0.416744 | − | 0.240607i | −0.276939 | − | 0.960887i | ||
0.693683 | + | 0.720280i | ||||||||
−0.748010 | − | 2.08830i | −0.0788471 | − | 0.220126i | |||||
0 | 0 | |||||||||
−2.98385 | + | 2.45219i | −0.311088 | + | 0.255659i | |||||
−9.98102 | − | 2.67441i | −1.03498 | − | 0.277323i | |||||
−9.71095 | − | 14.0207i | −1.00161 | − | 1.44612i | |||||
−0.0492336 | + | 0.0852752i | −0.00505126 | + | 0.00874905i | |||||
4.25173 | + | 5.33840i | 0.433941 | + | 0.544848i | |||||
−16.4025 | −1.66542 | −0.832712 | − | 0.553706i | ||||||
−0.832712 | + | 0.553706i | ||||||||
0 | 0 | |||||||||
−2.67958 | + | 2.67958i | −0.269308 | + | 0.269308i | |||||
7.43051 | + | 2.79085i | 0.743051 | + | 0.279085i | |||||
8.88412 | − | 2.38049i | 0.884003 | − | 0.236868i | 0.211870 | − | 0.977298i | ||
0.672134 | + | 0.740430i | ||||||||
1.70935 | + | 0.310424i | 0.169251 | + | 0.0307365i | |||||
6.69469 | − | 3.86518i | 0.659647 | − | 0.380848i | −0.132495 | − | 0.991184i | ||
0.792143 | + | 0.610336i | ||||||||
5.45630 | − | 9.12448i | 0.535034 | − | 0.894729i | |||||
0 | 0 | |||||||||
−1.95989 | + | 0.702015i | −0.190361 | + | 0.0681857i | |||||
−4.89154 | + | 18.2555i | −0.472883 | + | 1.76482i | 0.156449 | + | 0.987686i | ||
−0.629332 | + | 0.777137i | ||||||||
8.91749 | + | 6.38097i | 0.858086 | + | 0.614009i | |||||
−4.23429 | − | 15.8026i | −0.405571 | − | 1.51361i | −0.802999 | − | 0.595980i | ||
0.397428 | − | 0.917633i | ||||||||
0.289165 | + | 3.51187i | 0.0275708 | + | 0.334844i | |||||
9.63510 | 0.914524 | |||||||||
0 | 0 | |||||||||
−20.1152 | −1.89228 | −0.946138 | − | 0.323765i | ||||||
−0.946138 | + | 0.323765i | ||||||||
−0.0135754 | − | 0.164871i | −0.00127145 | − | 0.0154416i | |||||
0.507576 | + | 1.89430i | 0.0473317 | + | 0.176644i | |||||
−8.31727 | + | 11.6235i | −0.772239 | + | 1.07921i | |||||
1.50257 | − | 5.60765i | 0.138912 | − | 0.518428i | |||||
−9.59547 | + | 3.43701i | −0.883335 | + | 0.316403i | |||||
0 | 0 | |||||||||
3.36065 | − | 0.845460i | 0.306784 | − | 0.0771796i | |||||
−4.31298 | + | 2.49010i | −0.392089 | + | 0.226373i | |||||
−6.37661 | − | 1.15801i | −0.577311 | − | 0.104842i | |||||
−9.92606 | + | 2.65968i | −0.895003 | + | 0.239815i | |||||
−6.02308 | + | 16.0361i | −0.540888 | + | 1.44009i | |||||
6.44039 | − | 6.44039i | 0.576046 | − | 0.576046i | |||||
0 | 0 | |||||||||
−0.988901 | −0.0877508 | −0.0438754 | − | 0.999037i | ||||||
−0.0438754 | + | 0.999037i | ||||||||
9.49390 | − | 6.15352i | 0.839150 | − | 0.543899i | |||||
3.82137 | − | 6.61880i | 0.336453 | − | 0.582753i | |||||
−3.07372 | − | 4.43785i | −0.269583 | − | 0.389225i | |||||
−7.60883 | − | 2.03878i | −0.664786 | − | 0.178129i | −0.0893811 | − | 0.995998i | ||
−0.575405 | + | 0.817869i | ||||||||
−3.75877 | − | 4.57370i | −0.327159 | − | 0.398089i | |||||
0 | 0 | |||||||||
1.67220 | + | 4.66846i | 0.144456 | + | 0.403293i | |||||
4.82194 | − | 2.78395i | 0.415007 | − | 0.239604i | |||||
0.787994 | − | 2.77017i | 0.0675700 | − | 0.237540i | |||||
9.57893 | + | 5.53040i | 0.818383 | + | 0.472494i | 0.849859 | − | 0.527011i | ||
−0.0314753 | + | 0.999505i | ||||||||
−2.51308 | − | 2.13071i | −0.213927 | − | 0.181378i | |||||
−12.4154 | − | 12.4154i | −1.05306 | − | 1.05306i | −0.998511 | − | 0.0545473i | ||
−0.0545473 | − | 0.998511i | ||||||||
0 | 0 | |||||||||
10.2881 | − | 10.2881i | 0.866411 | − | 0.866411i | |||||
0.630317 | + | 7.65513i | 0.0528951 | + | 0.642404i | |||||
−4.61114 | + | 7.98672i | −0.385603 | + | 0.667883i | |||||
4.06711 | − | 4.65045i | 0.338926 | − | 0.387538i | |||||
3.62873 | + | 6.28515i | 0.301350 | + | 0.521954i | |||||
10.8416 | + | 5.12316i | 0.897256 | + | 0.423996i | |||||
0 | 0 | |||||||||
1.55475 | − | 15.8970i | 0.127800 | − | 1.30672i | |||||
1.35622 | − | 5.06147i | 0.111106 | − | 0.414652i | −0.887861 | − | 0.460113i | ||
0.998966 | + | 0.0454610i | ||||||||
−1.20988 | + | 6.66221i | −0.0987863 | + | 0.543967i | |||||
−1.18073 | − | 0.681693i | −0.0960862 | − | 0.0554754i | 0.451187 | − | 0.892429i | ||
−0.547273 | + | 0.836954i | ||||||||
−0.274212 | − | 0.00420613i | −0.0222415 | − | 0.000341162i | |||||
− | 1.57271i | − | 0.127146i | |||||||
0 | 0 | |||||||||
6.15051 | + | 6.15051i | 0.494021 | + | 0.494021i | |||||
8.49035 | + | 3.18892i | 0.679772 | + | 0.255318i | |||||
0.0822524 | + | 0.306970i | 0.00656446 | + | 0.0244989i | 0.969130 | − | 0.246549i | ||
−0.962566 | + | 0.271048i | ||||||||
−0.698284 | − | 1.00818i | −0.0555525 | − | 0.0802068i | |||||
−0.887981 | − | 1.53803i | −0.0704215 | − | 0.121974i | |||||
−0.852640 | − | 5.68117i | −0.0674071 | − | 0.449136i | |||||
0 | 0 | |||||||||
−1.19693 | + | 2.53294i | −0.0940400 | + | 0.199007i | |||||
14.3376 | + | 3.84175i | 1.12301 | + | 0.300909i | 0.772100 | − | 0.635501i | ||
0.350907 | + | 0.936410i | ||||||||
2.78651 | + | 16.8062i | 0.217590 | + | 1.31234i | |||||
−2.90362 | + | 0.778022i | −0.226046 | + | 0.0605689i | |||||
7.04016 | − | 8.30354i | 0.546422 | − | 0.644480i | |||||
14.5986i | 1.12967i | 0.825204 | + | 0.564836i | ||||||
−0.825204 | + | 0.564836i | ||||||||
0 | 0 | |||||||||
− | 1.12842i | − | 0.0868018i | |||||||
−1.11546 | − | 0.945740i | −0.0855516 | − | 0.0725349i | |||||
−0.144653 | + | 0.0387596i | −0.0110619 | + | 0.00296402i | |||||
−10.3037 | − | 7.37291i | −0.785653 | − | 0.562179i | |||||
−11.9299 | − | 3.19660i | −0.907011 | − | 0.243033i | −0.224986 | − | 0.974362i | ||
−0.682025 | + | 0.731329i | ||||||||
−11.0240 | − | 5.20935i | −0.835727 | − | 0.394920i | |||||
0 | 0 | |||||||||
−8.15268 | + | 5.46357i | −0.614531 | + | 0.411832i | |||||
−4.34749 | − | 7.53008i | −0.326777 | − | 0.565995i | |||||
5.27788 | − | 3.65554i | 0.395594 | − | 0.273994i | |||||
−0.122083 | − | 0.455619i | −0.00912489 | − | 0.0340545i | 0.961213 | − | 0.275806i | ||
−0.970338 | + | 0.241752i | ||||||||
−1.29663 | − | 2.85653i | −0.0966451 | − | 0.212913i | |||||
−15.4654 | − | 15.4654i | −1.14953 | − | 1.14953i | −0.986645 | − | 0.162887i | ||
−0.162887 | − | 0.986645i | ||||||||
0 | 0 | |||||||||
− | 5.52873i | − | 0.408696i | |||||||
−3.92098 | + | 3.80251i | −0.289059 | + | 0.280325i | |||||
−7.02396 | − | 4.05528i | −0.516412 | − | 0.298150i | |||||
−14.3781 | − | 2.61110i | −1.05425 | − | 0.191455i | |||||
−0.646613 | + | 2.41319i | −0.0472850 | + | 0.176470i | |||||
−15.3142 | − | 18.6344i | −1.11690 | − | 1.35905i | |||||
0 | 0 | |||||||||
−0.0594956 | + | 0.125904i | −0.00431627 | + | 0.00913405i | |||||
−3.04108 | − | 5.26731i | −0.220045 | − | 0.381129i | 0.734776 | − | 0.678309i | ||
−0.954821 | + | 0.297180i | ||||||||
6.61211 | + | 7.03075i | 0.477188 | + | 0.507400i | |||||
−5.03089 | + | 8.71375i | −0.362131 | + | 0.627229i | −0.988311 | − | 0.152449i | ||
0.626180 | + | 0.779678i | ||||||||
−23.1184 | + | 1.90355i | −1.65981 | + | 0.136667i | |||||
3.25639 | − | 3.25639i | 0.233195 | − | 0.233195i | |||||
0 | 0 | |||||||||
−10.0837 | − | 10.0837i | −0.718432 | − | 0.718432i | 0.249852 | − | 0.968284i | ||
−0.968284 | + | 0.249852i | ||||||||
−3.46574 | + | 4.08769i | −0.246300 | + | 0.290499i | |||||
10.0980 | + | 5.83005i | 0.715825 | + | 0.413282i | 0.813214 | − | 0.581965i | ||
−0.0973893 | + | 0.995246i | ||||||||
10.7968 | + | 3.07122i | 0.763447 | + | 0.217168i | |||||
−3.66359 | + | 2.11517i | −0.258409 | + | 0.149193i | |||||
12.2454 | − | 4.38620i | 0.861584 | − | 0.308612i | |||||
0 | 0 | |||||||||
2.44526 | + | 0.239150i | 0.171202 | + | 0.0167439i | |||||
8.35549 | + | 2.23885i | 0.583572 | + | 0.156368i | |||||
8.98723 | − | 6.22469i | 0.626170 | − | 0.433695i | |||||
−1.49130 | + | 2.58301i | −0.103653 | + | 0.179532i | |||||
6.63143 | − | 13.4937i | 0.459807 | − | 0.935617i | |||||
0.237894 | 0.0164555 | |||||||||
0 | 0 | |||||||||
6.53423 | − | 6.53423i | 0.449835 | − | 0.449835i | −0.445465 | − | 0.895300i | ||
0.895300 | + | 0.445465i | ||||||||
−2.68088 | + | 1.21690i | −0.184124 | + | 0.0835771i | |||||
−6.32927 | + | 1.69592i | −0.433674 | + | 0.116203i | |||||
−4.77576 | + | 26.2977i | −0.326464 | + | 1.79768i | |||||
−5.57153 | + | 3.21672i | −0.379975 | + | 0.219379i | |||||
13.3092 | + | 7.95872i | 0.905579 | + | 0.541522i | |||||
0 | 0 | |||||||||
−7.80192 | − | 21.7815i | −0.528413 | − | 1.47523i | |||||
−2.64756 | + | 9.88082i | −0.178905 | + | 0.667684i | |||||
0.815122 | + | 4.91622i | 0.0549555 | + | 0.331452i | |||||
−0.990604 | − | 3.69698i | −0.0666352 | − | 0.248686i | |||||
13.5801 | − | 1.11818i | 0.911439 | − | 0.0750472i | |||||
23.3350 | 1.56263 | 0.781315 | − | 0.624137i | ||||||
0.781315 | + | 0.624137i | ||||||||
0 | 0 | |||||||||
6.12964 | 0.408643 | |||||||||
−28.3512 | + | 2.33441i | −1.88589 | + | 0.155283i | |||||
4.05036 | + | 15.1161i | 0.268832 | + | 1.00329i | 0.959863 | + | 0.280468i | ||
−0.691032 | + | 0.722824i | ||||||||
−0.0382674 | − | 0.230801i | −0.00253432 | − | 0.0152852i | |||||
−6.92092 | + | 25.8292i | −0.457347 | + | 1.70684i | 0.223747 | + | 0.974647i | ||
−0.681094 | + | 0.732196i | ||||||||
0.935237 | + | 2.61100i | 0.0616677 | + | 0.172164i | |||||
0 | 0 | |||||||||
−10.3738 | + | 17.3479i | −0.681072 | + | 1.13895i | |||||
11.0402 | − | 6.37405i | 0.723267 | − | 0.417578i | −0.0926872 | − | 0.995695i | ||
0.815954 | + | 0.578117i | ||||||||
1.46700 | − | 8.07805i | 0.0959008 | − | 0.528078i | |||||
−11.8301 | + | 3.16986i | −0.771708 | + | 0.206779i | |||||
−13.1254 | + | 5.95786i | −0.854391 | + | 0.387823i | |||||
0.739782 | − | 0.739782i | 0.0480540 | − | 0.0480540i | |||||
0 | 0 | |||||||||
14.9688 | 0.968253 | 0.484127 | − | 0.874998i | ||||||
0.484127 | + | 0.874998i | ||||||||
4.63853 | − | 1.58164i | 0.299416 | − | 0.102094i | |||||
9.90526 | − | 17.1564i | 0.638054 | − | 1.10514i | −0.347805 | − | 0.937567i | ||
0.985859 | − | 0.167575i | ||||||||
−5.78992 | + | 4.01019i | −0.372190 | + | 0.257785i | |||||
13.5791 | + | 3.63850i | 0.871098 | + | 0.233410i | |||||
−9.12186 | − | 0.892134i | −0.583967 | − | 0.0571130i | |||||
0 | 0 | |||||||||
−13.6816 | + | 4.90061i | −0.872305 | + | 0.312452i | |||||
−0.315624 | + | 0.182226i | −0.0200827 | + | 0.0115947i | |||||
−6.62815 | + | 23.3010i | −0.420888 | + | 1.47962i | |||||
8.04272 | + | 4.64346i | 0.509686 | + | 0.294268i | |||||
8.32995 | − | 9.82480i | 0.526832 | − | 0.621375i | |||||
−9.23966 | − | 9.23966i | −0.583202 | − | 0.583202i | 0.352580 | − | 0.935782i | ||
−0.935782 | + | 0.352580i | ||||||||
0 | 0 | |||||||||
3.35028 | − | 3.35028i | 0.210630 | − | 0.210630i | |||||
−1.39380 | + | 0.114764i | −0.0874548 | + | 0.00720096i | |||||
0.623780 | − | 1.08042i | 0.0390626 | − | 0.0676584i | |||||
12.6670 | − | 9.77483i | 0.791687 | − | 0.610927i | |||||
11.6109 | + | 20.1107i | 0.724271 | + | 1.25447i | 0.959273 | + | 0.282479i | ||
−0.235003 | + | 0.971995i | ||||||||
4.61788 | − | 9.77231i | 0.287496 | − | 0.608398i | |||||
0 | 0 | |||||||||
−4.84726 | − | 5.89818i | −0.300614 | − | 0.365790i | |||||
−2.85675 | + | 10.6615i | −0.176828 | + | 0.659933i | |||||
−10.9608 | − | 1.99052i | −0.677162 | − | 0.122975i | |||||
3.91454 | + | 2.26006i | 0.241381 | + | 0.139361i | 0.615811 | − | 0.787894i | ||
−0.374430 | + | 0.927255i | ||||||||
−5.82856 | − | 6.01016i | −0.358723 | − | 0.369900i | |||||
1.49496i | 0.0918345i | |||||||||
0 | 0 | |||||||||
3.87278 | + | 3.87278i | 0.237011 | + | 0.237011i | |||||
2.89866 | + | 6.38587i | 0.177064 | + | 0.390079i | |||||
−0.103258 | − | 0.385363i | −0.00629574 | − | 0.0234960i | 0.962707 | − | 0.270548i | ||
−0.969002 | + | 0.247052i | ||||||||
6.47317 | − | 4.48342i | 0.393945 | − | 0.272852i | |||||
5.31084 | + | 9.19864i | 0.322611 | + | 0.558778i | 0.981026 | − | 0.193877i | ||
−0.658415 | + | 0.752655i | ||||||||
0.789149 | − | 3.99584i | 0.0478492 | − | 0.242284i | |||||
0 | 0 | |||||||||
14.1428 | + | 6.68313i | 0.854397 | + | 0.403742i | |||||
−9.40545 | − | 2.52018i | −0.567170 | − | 0.151973i | |||||
−3.78932 | − | 2.71147i | −0.228090 | − | 0.163211i | |||||
11.1219 | − | 2.98011i | 0.668252 | − | 0.179058i | 0.0912848 | − | 0.995825i | ||
0.576967 | + | 0.816767i | ||||||||
−18.9396 | − | 16.0579i | −1.13592 | − | 0.963091i | |||||
13.2287i | 0.791981i | |||||||||
0 | 0 | |||||||||
18.6360i | 1.11173i | 0.831272 | + | 0.555866i | ||||||
−0.831272 | + | 0.555866i | ||||||||
13.3065 | − | 15.6944i | 0.792390 | − | 0.934588i | |||||
8.77861 | − | 2.35222i | 0.521834 | − | 0.139825i | 0.0117192 | − | 0.999931i | ||
0.510115 | + | 0.860106i | ||||||||
1.77679 | + | 10.7163i | 0.105433 | + | 0.635897i | |||||
−0.114747 | − | 0.0307463i | −0.00679701 | − | 0.00182125i | |||||
−5.57226 | + | 11.7920i | −0.329495 | + | 0.697274i | |||||
0 | 0 | |||||||||
5.19267 | − | 7.02655i | 0.305981 | − | 0.414044i | |||||
7.98158 | + | 13.8245i | 0.469505 | + | 0.813206i | |||||
5.84390 | + | 8.43745i | 0.343166 | + | 0.495464i | |||||
−5.12167 | − | 19.1143i | −0.300238 | − | 1.12050i | |||||
15.8752 | + | 5.96261i | 0.929024 | + | 0.348935i | |||||
12.0193 | + | 12.0193i | 0.702174 | + | 0.702174i | 0.964877 | − | 0.262703i | ||
−0.262703 | + | 0.964877i | ||||||||
0 | 0 | |||||||||
7.31920i | 0.426140i | |||||||||
0.346451 | − | 22.5863i | 0.0201371 | − | 1.31280i | |||||
−11.6497 | − | 6.72594i | −0.675982 | − | 0.390278i | |||||
1.32411 | − | 7.29125i | 0.0767039 | − | 0.422371i | |||||
−1.87866 | + | 7.01125i | −0.108646 | + | 0.405471i | |||||
−0.932092 | + | 9.53042i | −0.0538143 | + | 0.550239i | |||||
0 | 0 | |||||||||
−1.74328 | − | 0.823782i | −0.100315 | − | 0.0474033i | |||||
5.54812 | + | 9.60962i | 0.318731 | + | 0.552058i | |||||
−0.386974 | + | 0.0258947i | −0.0221945 | + | 0.00148516i | |||||
−2.32697 | + | 4.03043i | −0.133242 | + | 0.230781i | |||||
−0.182516 | − | 2.21664i | −0.0104338 | − | 0.126717i | |||||
−17.8339 | + | 17.8339i | −1.01784 | + | 1.01784i | −0.0179975 | + | 0.999838i | ||
−0.999838 | + | 0.0179975i | ||||||||
0 | 0 | |||||||||
6.59462 | + | 6.59462i | 0.375155 | + | 0.375155i | |||||
9.38257 | + | 7.95501i | 0.532894 | + | 0.451814i | |||||
−5.66778 | − | 3.27229i | −0.321390 | − | 0.185555i | 0.330622 | − | 0.943763i | ||
−0.652012 | + | 0.758209i | ||||||||
12.3367 | + | 3.50928i | 0.698431 | + | 0.198674i | |||||
16.6047 | − | 9.58671i | 0.938551 | − | 0.541873i | 0.0490453 | − | 0.998797i | ||
0.889506 | + | 0.456924i | ||||||||
0.151555 | + | 0.423112i | 0.00855274 | + | 0.0238776i | |||||
0 | 0 | |||||||||
−1.10119 | − | 1.33994i | −0.0619470 | − | 0.0753776i | |||||
−18.1794 | − | 4.87115i | −1.02106 | − | 0.273591i | −0.290814 | − | 0.956780i | ||
−0.730242 | + | 0.683189i | ||||||||
−1.43005 | − | 2.06471i | −0.0801933 | − | 0.115783i | |||||
8.76691 | − | 15.1847i | 0.490853 | − | 0.850182i | |||||
−1.86106 | − | 7.90834i | −0.104037 | − | 0.442089i | |||||
−22.8010 | −1.27263 | |||||||||
0 | 0 | |||||||||
−0.0698127 | + | 0.0698127i | −0.00388448 | + | 0.00388448i | |||||
−1.39306 | + | 3.70895i | −0.0773921 | + | 0.206053i | |||||
14.4090 | − | 3.86089i | 0.799270 | − | 0.214164i | |||||
20.6539 | + | 3.75081i | 1.14391 | + | 0.207738i | |||||
17.0931 | − | 9.86868i | 0.945248 | − | 0.545739i | |||||
5.87783 | + | 23.3640i | 0.324549 | + | 1.29006i | |||||
0 | 0 | |||||||||
−4.00219 | + | 1.43355i | −0.220313 | + | 0.0789143i | |||||
2.53476 | − | 9.45985i | 0.139323 | − | 0.519960i | −0.860620 | − | 0.509248i | ||
0.999943 | − | 0.0107120i | ||||||||
8.95906 | − | 12.5204i | 0.491692 | − | 0.687147i | |||||
−3.19255 | − | 11.9148i | −0.174951 | − | 0.652926i | |||||
1.69420 | + | 20.5759i | 0.0927025 | + | 1.12586i | |||||
3.56099 | 0.194558 | |||||||||
0 | 0 | |||||||||
4.91600 | 0.267792 | 0.133896 | − | 0.990995i | ||||||
0.133896 | + | 0.990995i | ||||||||
−0.130956 | − | 1.59045i | −0.00712308 | − | 0.0865090i | |||||
−6.28094 | − | 23.4408i | −0.341134 | − | 1.27313i | |||||
−1.68193 | − | 1.20352i | −0.0912154 | − | 0.0652698i | |||||
5.43893 | − | 20.2984i | 0.294535 | − | 1.09922i | |||||
−0.199382 | + | 0.0714167i | −0.0107813 | + | 0.00386178i | |||||
0 | 0 | |||||||||
−15.3782 | − | 9.19593i | −0.829137 | − | 0.495811i | |||||
−2.04899 | + | 1.18299i | −0.110314 | + | 0.0636898i | |||||
−17.1854 | − | 3.12093i | −0.923895 | − | 0.167782i | |||||
−9.03438 | + | 2.42076i | −0.484991 | + | 0.129953i | −0.493026 | − | 0.870015i | ||
0.00803463 | + | 0.999968i | ||||||||
−16.1423 | − | 6.06293i | −0.865316 | − | 0.325007i | |||||
17.2061 | − | 17.2061i | 0.921021 | − | 0.921021i | −0.0760810 | − | 0.997102i | ||
0.997102 | + | 0.0760810i | ||||||||
0 | 0 | |||||||||
20.6081 | 1.09998 | |||||||||
−10.8567 | + | 8.64674i | −0.578663 | + | 0.460873i | |||||
−4.08472 | + | 7.07494i | −0.217408 | + | 0.376561i | −0.954015 | − | 0.299760i | ||
0.736607 | + | 0.676321i | ||||||||
−7.00143 | − | 10.1087i | −0.372122 | − | 0.537270i | |||||
5.32780 | + | 1.42758i | 0.282771 | + | 0.0757681i | |||||
7.01464 | − | 5.76479i | 0.371775 | − | 0.305533i | |||||
0 | 0 | |||||||||
−0.224944 | − | 0.628001i | −0.0118887 | − | 0.0331909i | |||||
10.0193 | − | 5.78465i | 0.528799 | − | 0.305302i | −0.211728 | − | 0.977329i | ||
0.740527 | + | 0.672027i | ||||||||
−2.15903 | − | 3.87564i | −0.113791 | − | 0.204264i | |||||
−16.4463 | − | 9.49530i | −0.865597 | − | 0.499753i | |||||
−23.5924 | − | 20.0028i | −1.23999 | − | 1.05132i | |||||
−4.24851 | − | 4.24851i | −0.222989 | − | 0.222989i | |||||
0 | 0 | |||||||||
6.08876 | − | 6.08876i | 0.318700 | − | 0.318700i | |||||
−0.641623 | − | 7.79244i | −0.0335382 | − | 0.407317i | |||||
4.25356 | − | 7.36738i | 0.222034 | − | 0.384574i | −0.733392 | − | 0.679807i | ||
0.955425 | + | 0.295232i | ||||||||
−5.08511 | + | 5.81447i | −0.265080 | + | 0.303100i | |||||
6.57792 | + | 11.3933i | 0.342433 | + | 0.593111i | |||||
−10.3705 | − | 4.90055i | −0.539136 | − | 0.254767i | |||||
0 | 0 | |||||||||
−20.5681 | − | 2.01159i | −1.06641 | − | 0.104296i | |||||
1.35756 | − | 5.06649i | 0.0702919 | − | 0.262333i | −0.921833 | − | 0.387588i | ||
0.992125 | + | 0.125255i | ||||||||
−0.631308 | + | 3.47630i | −0.0326441 | + | 0.179755i | |||||
9.51618 | + | 5.49417i | 0.491414 | + | 0.283718i | |||||
−23.7470 | − | 24.4869i | −1.22466 | − | 1.26281i | |||||
26.8616i | 1.38344i | |||||||||
0 | 0 | |||||||||
−3.62966 | − | 3.62966i | −0.186443 | − | 0.186443i | 0.607713 | − | 0.794156i | ||
−0.794156 | + | 0.607713i | ||||||||
−0.0692443 | + | 0.184360i | −0.00355216 | + | 0.00945745i | |||||
−0.308783 | − | 1.15239i | −0.0158194 | − | 0.0590390i | |||||
−4.89752 | − | 7.07105i | −0.250579 | − | 0.361786i | |||||
−3.48127 | − | 6.02973i | −0.177884 | − | 0.308105i | 0.763271 | − | 0.646078i | ||
−0.941156 | + | 0.337973i | ||||||||
10.1353 | + | 9.14209i | 0.517217 | + | 0.466530i | |||||
0 | 0 | |||||||||
−6.07950 | + | 12.8654i | −0.309438 | + | 0.654831i | |||||
−9.45101 | − | 2.53239i | −0.480422 | − | 0.128729i | |||||
−32.3632 | + | 5.36590i | −1.64299 | + | 0.272412i | |||||
12.7317 | − | 3.41145i | 0.645523 | − | 0.172967i | 0.0788190 | − | 0.996889i | ||
0.566704 | + | 0.823922i | ||||||||
4.21178 | − | 4.96761i | 0.213272 | − | 0.251545i | |||||
1.96636i | 0.0994429i | |||||||||
0 | 0 | |||||||||
− | 9.50339i | − | 0.479383i | |||||||
−15.3826 | − | 13.0421i | −0.774964 | − | 0.657053i | |||||
−0.850663 | + | 0.227934i | −0.0428015 | + | 0.0114686i | |||||
−4.41038 | + | 6.16357i | −0.221630 | + | 0.309731i | |||||
6.02928 | + | 1.61554i | 0.302601 | + | 0.0810817i | 0.406925 | − | 0.913462i | ||
−0.104324 | + | 0.994543i | ||||||||
14.9091 | + | 7.04524i | 0.747325 | + | 0.353146i | |||||
0 | 0 | |||||||||
15.5739 | + | 3.07572i | 0.778693 | + | 0.153786i | |||||
7.95077 | + | 13.7711i | 0.397042 | + | 0.687697i | 0.993360 | − | 0.115051i | ||
−0.596317 | + | 0.802749i | ||||||||
−4.91815 | + | 3.40638i | −0.245295 | + | 0.169895i | |||||
8.33239 | + | 31.0969i | 0.415066 | + | 1.54905i | |||||
16.7502 | − | 7.60321i | 0.833353 | − | 0.378274i | |||||
1.42253 | + | 1.42253i | 0.0706861 | + | 0.0706861i | |||||
0 | 0 | |||||||||
19.5949i | 0.971282i | |||||||||
3.47421 | + | 0.0532908i | 0.171999 | + | 0.00263829i | |||||
4.93864 | + | 2.85133i | 0.244200 | + | 0.140989i | 0.617106 | − | 0.786880i | ||
−0.372906 | + | 0.927869i | ||||||||
12.0364 | + | 2.18585i | 0.594436 | + | 0.107952i | |||||
−3.45372 | + | 12.8895i | −0.170360 | + | 0.635791i | |||||
11.9446 | − | 9.81634i | 0.588468 | − | 0.483616i | |||||
0 | 0 | |||||||||
−1.80214 | + | 3.81368i | −0.0885704 | + | 0.187432i | |||||
−3.90874 | − | 6.77014i | −0.191873 | − | 0.332333i | |||||
7.78066 | − | 19.7881i | 0.381478 | − | 0.970194i | |||||
10.5913 | − | 18.3447i | 0.518659 | − | 0.898343i | |||||
0.335298 | − | 0.0276082i | 0.0164000 | − | 0.00135036i | |||||
4.57142 | − | 4.57142i | 0.223328 | − | 0.223328i | −0.586570 | − | 0.809898i | ||
0.809898 | + | 0.586570i | ||||||||
0 | 0 | |||||||||
0.421252 | + | 0.421252i | 0.0205306 | + | 0.0205306i | 0.717298 | − | 0.696767i | ||
−0.696767 | + | 0.717298i | ||||||||
8.45131 | − | 9.96794i | 0.411404 | − | 0.485232i | |||||
−16.1311 | − | 9.31331i | −0.784322 | − | 0.452829i | |||||
−3.63733 | + | 2.02628i | −0.176644 | + | 0.0984047i | |||||
3.49971 | − | 2.02056i | 0.169761 | − | 0.0980115i | |||||
−8.72393 | + | 3.12483i | −0.422676 | + | 0.151399i | |||||
0 | 0 | |||||||||
−3.67924 | + | 37.6194i | −0.177843 | + | 1.81840i | |||||
−10.7470 | − | 2.87964i | −0.518869 | − | 0.139031i | |||||
−7.47945 | + | 5.18038i | −0.360691 | + | 0.249820i | |||||
10.5518 | − | 18.2762i | 0.508262 | − | 0.880336i | −0.491692 | − | 0.870769i | ||
0.999954 | − | 0.00956658i | ||||||||
19.6822 | + | 9.67280i | 0.946963 | + | 0.465383i | |||||
13.9717 | 0.671436 | 0.335718 | − | 0.941962i | ||||||
0.335718 | + | 0.941962i | ||||||||
0 | 0 | |||||||||
−6.19120 | + | 6.19120i | −0.296845 | + | 0.296845i | |||||
−13.5242 | − | 29.7943i | −0.647690 | − | 1.42689i | |||||
0.180859 | − | 0.0484611i | 0.00865168 | − | 0.00231821i | |||||
−2.58489 | + | 14.2337i | −0.123511 | + | 0.680113i | |||||
4.69322 | − | 2.70963i | 0.223995 | − | 0.129324i | −0.383804 | − | 0.923415i | ||
0.607799 | + | 0.794091i | ||||||||
1.71941 | + | 6.83455i | 0.0819696 | + | 0.325824i | |||||
0 | 0 | |||||||||
−1.82525 | − | 5.09573i | −0.0868181 | − | 0.242379i | |||||
1.56401 | − | 5.83698i | 0.0743085 | − | 0.277323i | −0.918767 | − | 0.394800i | ||
0.993076 | + | 0.117477i | ||||||||
19.0107 | − | 3.15202i | 0.902207 | − | 0.149588i | |||||
−1.19324 | − | 4.45325i | −0.0565652 | − | 0.211104i | |||||
32.8894 | − | 2.70809i | 1.55736 | − | 0.128232i | |||||
6.32175 | 0.299009 | |||||||||
0 | 0 | |||||||||
18.4262 | 0.869587 | 0.434794 | − | 0.900530i | ||||||
0.434794 | + | 0.900530i | ||||||||
8.63938 | − | 0.711360i | 0.407264 | − | 0.0335338i | |||||
−5.40898 | − | 20.1866i | −0.254699 | − | 0.950550i | |||||
−39.6885 | + | 6.58045i | −1.86679 | + | 0.309518i | |||||
0.425716 | − | 1.58879i | 0.0200019 | − | 0.0746480i | |||||
7.46301 | + | 20.8353i | 0.350257 | + | 0.977848i | |||||
0 | 0 | |||||||||
−0.0807208 | − | 0.320860i | −0.00378010 | − | 0.0150257i | |||||
31.1530 | − | 17.9862i | 1.45728 | − | 0.841358i | 0.458399 | − | 0.888747i | ||
0.998877 | + | 0.0473884i | ||||||||
−6.75710 | + | 37.2080i | −0.315739 | + | 1.73862i | |||||
5.39253 | − | 1.44492i | 0.251702 | − | 0.0674433i | |||||
1.62118 | + | 3.57152i | 0.0755878 | + | 0.166523i | |||||
0.903879 | − | 0.903879i | 0.0420978 | − | 0.0420978i | −0.685745 | − | 0.727842i | ||
0.727842 | + | 0.685745i | ||||||||
0 | 0 | |||||||||
−12.5999 | −0.585565 | −0.292782 | − | 0.956179i | ||||||
−0.292782 | + | 0.956179i | ||||||||
−12.6080 | + | 25.6548i | −0.585312 | + | 1.19099i | |||||
−5.24687 | + | 9.08785i | −0.243318 | + | 0.421439i | |||||
14.8208 | − | 10.2651i | 0.686560 | − | 0.475522i | |||||
−8.00668 | − | 2.14538i | −0.370505 | − | 0.0992765i | 0.0687620 | − | 0.997633i | ||
−0.439267 | + | 0.898357i | ||||||||
1.13018 | − | 11.5558i | 0.0522424 | − | 0.534167i | |||||
0 | 0 | |||||||||
−16.3059 | + | 5.84064i | −0.752137 | + | 0.269409i | |||||
−0.332038 | + | 0.191702i | −0.0152995 | + | 0.00883318i | |||||
−17.8081 | + | 9.92050i | −0.819684 | + | 0.456628i | |||||
13.4606 | + | 7.77151i | 0.618921 | + | 0.357334i | |||||
0.956828 | − | 1.12854i | 0.0439486 | − | 0.0518353i | |||||
−0.272096 | − | 0.272096i | −0.0124846 | − | 0.0124846i | |||||
0 | 0 | |||||||||
−1.60770 | + | 1.60770i | −0.0736114 | + | 0.0736114i | |||||
21.0977 | − | 1.73717i | 0.964987 | − | 0.0794563i | |||||
4.63918 | − | 8.03529i | 0.211969 | − | 0.367142i | −0.740361 | − | 0.672209i | ||
0.952331 | + | 0.305067i | ||||||||
6.35419 | − | 2.76755i | 0.290028 | − | 0.126321i | |||||
−15.0096 | − | 25.9974i | −0.684378 | − | 1.18538i | |||||
11.9699 | − | 25.3305i | 0.545212 | − | 1.15377i | |||||
0 | 0 | |||||||||
−7.69517 | + | 6.32407i | −0.349781 | + | 0.287458i | |||||
−4.31128 | + | 16.0899i | −0.195765 | + | 0.730606i | |||||
19.5612 | + | 3.55238i | 0.887314 | + | 0.161139i | |||||
33.5037 | + | 19.3434i | 1.51820 | + | 0.876533i | 0.999771 | + | 0.0214118i | ||
0.518429 | + | 0.855121i | ||||||||
−12.9603 | − | 0.198798i | −0.586685 | − | 0.00899914i | |||||
17.9076i | 0.809810i | |||||||||
0 | 0 | |||||||||
−29.8086 | − | 29.8086i | −1.34524 | − | 1.34524i | −0.890750 | − | 0.454494i | ||
−0.454494 | − | 0.890750i | ||||||||
−18.7147 | + | 8.49492i | −0.843722 | + | 0.382980i | |||||
1.88338 | + | 7.02889i | 0.0848234 | + | 0.316565i | |||||
−0.423706 | + | 0.293466i | −0.0190635 | + | 0.0132036i | |||||
1.92420 | + | 3.33282i | 0.0864865 | + | 0.149799i | |||||
−6.63786 | + | 33.6107i | −0.298049 | + | 1.50917i | |||||
0 | 0 | |||||||||
11.8746 | + | 5.61132i | 0.532115 | + | 0.251449i | |||||
10.7993 | + | 2.89367i | 0.483444 | + | 0.129538i | 0.492306 | − | 0.870422i | ||
−0.00886191 | + | 0.999961i | ||||||||
10.6004 | − | 14.8142i | 0.474064 | − | 0.662512i | |||||
−17.0121 | + | 4.55839i | −0.760046 | + | 0.203654i | |||||
−14.0951 | − | 11.9505i | −0.629093 | − | 0.533377i | |||||
− | 18.1532i | − | 0.809409i | −0.914448 | − | 0.404704i | ||||
0.914448 | − | 0.404704i | ||||||||
0 | 0 | |||||||||
− | 9.34050i | − | 0.415647i | |||||||
4.33322 | − | 5.11084i | 0.192635 | − | 0.227205i | |||||
1.31498 | − | 0.352349i | 0.0584005 | − | 0.0156484i | |||||
−1.95116 | + | 0.323508i | −0.0865689 | + | 0.0143533i | |||||
1.97895 | + | 0.530258i | 0.0877154 | + | 0.0235033i | 0.302410 | − | 0.953178i | ||
−0.214694 | + | 0.976681i | ||||||||
0.753798 | − | 1.59518i | 0.0333787 | − | 0.0706358i | |||||
0 | 0 | |||||||||
16.7190 | − | 15.2471i | 0.738883 | − | 0.673834i | |||||
−0.265799 | − | 0.460378i | −0.0117353 | − | 0.0203262i | |||||
18.6989 | + | 26.9975i | 0.824772 | + | 1.19081i | |||||
−2.03187 | − | 7.58304i | −0.0895348 | − | 0.334149i | |||||
5.37454 | − | 14.3094i | 0.236601 | − | 0.629938i | |||||
20.9228 | + | 20.9228i | 0.920183 | + | 0.920183i | |||||
0 | 0 | |||||||||
− | 14.9004i | − | 0.654053i | |||||||
−7.51644 | − | 7.75062i | −0.329618 | − | 0.339887i | |||||
−2.51905 | − | 1.45437i | −0.110361 | − | 0.0637172i | 0.443803 | − | 0.896124i | ||
−0.554165 | + | 0.832407i | ||||||||
−2.78913 | + | 15.3584i | −0.122077 | + | 0.672218i | |||||
−4.28781 | + | 16.0023i | −0.187493 | + | 0.699732i | 0.806590 | + | 0.591111i | ||
−0.994083 | + | 0.108622i | ||||||||
−15.6797 | − | 1.53350i | −0.684969 | − | 0.0669911i | |||||
0 | 0 | |||||||||
5.77962 | + | 2.73114i | 0.252003 | + | 0.119083i | |||||
4.36067 | + | 7.55290i | 0.189954 | + | 0.329010i | |||||
−8.91253 | − | 7.79456i | −0.387868 | − | 0.339215i | |||||
−9.63542 | + | 16.6890i | −0.418931 | + | 0.725611i | |||||
0.173493 | + | 2.10706i | 0.00753607 | + | 0.0915247i | |||||
−7.87117 | + | 7.87117i | −0.341580 | + | 0.341580i | |||||
0 | 0 | |||||||||
22.6392 | + | 22.6392i | 0.980611 | + | 0.980611i | |||||
5.90792 | + | 5.00903i | 0.255661 | + | 0.216762i | |||||
16.6219 | + | 9.59663i | 0.718625 | + | 0.414899i | |||||
4.82659 | + | 8.66412i | 0.208477 | + | 0.374233i | |||||
0.492826 | − | 0.284533i | 0.0212670 | − | 0.0122785i | |||||
−0.190258 | − | 0.531165i | −0.00820262 | − | 0.0229001i | |||||
0 | 0 | |||||||||
8.60326 | − | 7.07035i | 0.370225 | − | 0.304260i | |||||
−7.01543 | − | 1.87978i | −0.301617 | − | 0.0808180i | 0.104837 | − | 0.994489i | ||
−0.406453 | + | 0.913671i | ||||||||
8.55285 | + | 12.3486i | 0.367377 | + | 0.530419i | |||||
13.1932 | − | 22.8513i | 0.566174 | − | 0.980643i | |||||
0.648534 | − | 5.72350i | 0.0278057 | − | 0.245393i | |||||
−16.6144 | −0.711682 | |||||||||
0 | 0 | |||||||||
18.2712 | − | 18.2712i | 0.781218 | − | 0.781218i | −0.198818 | − | 0.980036i | ||
0.980036 | + | 0.198818i | ||||||||
20.7090 | + | 7.77819i | 0.884647 | + | 0.332268i | |||||
−6.83683 | + | 1.83192i | −0.291789 | + | 0.0781846i | |||||
−13.5489 | − | 2.46053i | −0.577728 | − | 0.104917i | |||||
0.600079 | − | 0.346456i | 0.0255642 | − | 0.0147595i | |||||
−5.65550 | − | 3.38190i | −0.240714 | − | 0.143943i | |||||
0 | 0 | |||||||||
15.3299 | − | 5.49103i | 0.651305 | − | 0.233291i | |||||
2.53252 | − | 9.45148i | 0.107499 | − | 0.401193i | |||||
−28.5579 | − | 20.4348i | −1.21112 | − | 0.866627i | |||||
1.28251 | + | 4.78640i | 0.0543418 | + | 0.202806i | 0.987759 | − | 0.155986i | ||
−0.933417 | + | 0.358792i | ||||||||
1.53522 | + | 18.6451i | 0.0649911 | + | 0.789310i | |||||
−23.8117 | −1.00713 | |||||||||
0 | 0 | |||||||||
−3.01407 | −0.127254 | |||||||||
2.16276 | + | 26.2664i | 0.0912303 | + | 1.10798i | |||||
6.29301 | + | 23.4858i | 0.265219 | + | 0.989809i | 0.962116 | + | 0.272639i | ||
−0.696898 | + | 0.717170i | ||||||||
16.9334 | − | 23.6646i | 0.713024 | − | 0.996460i | |||||
−5.28712 | + | 19.7318i | −0.222431 | + | 0.830123i | |||||
12.1000 | − | 4.33410i | 0.508600 | − | 0.182176i | |||||
0 | 0 | |||||||||
3.74795 | + | 14.8979i | 0.157260 | + | 0.625100i | |||||
−2.33865 | + | 1.35022i | −0.0980412 | + | 0.0566041i | −0.548219 | − | 0.836335i | ||
0.450178 | + | 0.892939i | ||||||||
−0.165297 | − | 0.0300185i | −0.00692354 | − | 0.00125734i | |||||
12.8196 | − | 3.43500i | 0.536484 | − | 0.143750i | 0.0196030 | − | 0.999808i | ||
0.516881 | + | 0.856058i | ||||||||
−6.48530 | + | 17.2668i | −0.271164 | + | 0.721961i | |||||
5.18857 | − | 5.18857i | 0.216756 | − | 0.216756i | |||||
0 | 0 | |||||||||
−7.66390 | −0.319607 | |||||||||
6.50333 | − | 10.5062i | 0.270972 | − | 0.437756i | |||||
−12.4461 | + | 21.5572i | −0.518137 | + | 0.897439i | 0.481641 | + | 0.876369i | ||
−0.999778 | + | 0.0210709i | ||||||||
12.8540 | + | 18.5586i | 0.534654 | + | 0.771935i | |||||
−11.7253 | − | 3.14178i | −0.487286 | − | 0.130568i | |||||
9.21584 | + | 11.2139i | 0.382667 | + | 0.465632i | |||||
0 | 0 | |||||||||
−9.43697 | − | 26.3462i | −0.391175 | − | 1.09209i | |||||
3.12788 | − | 1.80589i | 0.129544 | − | 0.0747921i | |||||
23.0671 | + | 6.56161i | 0.954525 | + | 0.271522i | |||||
−5.10584 | − | 2.94786i | −0.211101 | − | 0.121879i | |||||
18.3354 | + | 15.5456i | 0.757427 | + | 0.642185i | |||||
−23.9315 | − | 23.9315i | −0.987758 | − | 0.987758i | 0.0121684 | − | 0.999926i | ||
−0.999926 | + | 0.0121684i | ||||||||
0 | 0 | |||||||||
0.587224 | − | 0.587224i | 0.0241961 | − | 0.0241961i | |||||
0.849411 | + | 10.3160i | 0.0349697 | + | 0.424703i | |||||
8.60218 | − | 14.8994i | 0.353846 | − | 0.612880i | |||||
−2.13290 | − | 31.8744i | −0.0876615 | − | 1.31003i | |||||
0.895084 | + | 1.55033i | 0.0367567 | + | 0.0636645i | 0.883819 | − | 0.467830i | ||
−0.847062 | + | 0.531494i | ||||||||
−17.2001 | − | 8.12786i | −0.705729 | − | 0.333490i | |||||
0 | 0 | |||||||||
1.02010 | − | 10.4303i | 0.0417849 | − | 0.427241i | |||||
−3.64086 | + | 13.5879i | −0.149010 | + | 0.556114i | |||||
−1.83419 | + | 10.1000i | −0.0750057 | + | 0.413019i | |||||
−37.3788 | − | 21.5806i | −1.52726 | − | 0.881761i | −0.999476 | − | 0.0323796i | ||
−0.527779 | − | 0.849381i | ||||||||
−0.207702 | + | 13.5408i | −0.00847938 | + | 0.552800i | |||||
− | 27.6564i | − | 1.12813i | −0.825730 | − | 0.564065i | ||||
0.825730 | − | 0.564065i | ||||||||
0 | 0 | |||||||||
3.82954 | + | 3.82954i | 0.155951 | + | 0.155951i | |||||
−2.55266 | − | 0.958762i | −0.103866 | − | 0.0390115i | |||||
1.30901 | + | 4.88529i | 0.0532188 | + | 0.198615i | |||||
8.93498 | + | 12.9003i | 0.362959 | + | 0.524041i | |||||
−10.7968 | − | 18.7006i | −0.438228 | − | 0.759032i | 0.559325 | − | 0.828948i | ||
−0.997553 | + | 0.0699158i | ||||||||
−0.542413 | + | 0.0814064i | −0.0219978 | + | 0.00330147i | |||||
0 | 0 | |||||||||
−2.81199 | + | 5.95071i | −0.113854 | + | 0.240937i | |||||
−43.7859 | − | 11.7324i | −1.77139 | − | 0.474642i | |||||
−0.514493 | − | 3.10305i | −0.0207972 | − | 0.125433i | |||||
9.58708 | − | 2.56885i | 0.387219 | − | 0.103755i | −0.0599573 | − | 0.998201i | ||
0.447176 | + | 0.894446i | ||||||||
−23.0662 | + | 27.2056i | −0.930878 | + | 1.09793i | |||||
10.4360i | 0.420819i | |||||||||
0 | 0 | |||||||||
14.2458i | 0.573515i | 0.958003 | + | 0.286758i | ||||||
−0.958003 | + | 0.286758i | ||||||||
10.0601 | + | 8.52942i | 0.404675 | + | 0.343104i | |||||
35.2895 | − | 9.45579i | 1.41840 | − | 0.380060i | 0.533487 | − | 0.845808i | ||
0.884917 | + | 0.465748i | ||||||||
14.1474 | + | 10.1233i | 0.568174 | + | 0.406560i | |||||
−10.2268 | − | 2.74027i | −0.410388 | − | 0.109963i | |||||
−8.36817 | − | 3.95435i | −0.335533 | − | 0.158555i | |||||
0 | 0 | |||||||||
17.7952 | + | 3.51442i | 0.712379 | + | 0.140689i | |||||
5.29682 | + | 9.17437i | 0.211873 | + | 0.366975i | |||||
22.2908 | − | 15.4389i | 0.890919 | − | 0.617064i | |||||
0.0742821 | + | 0.277225i | 0.00296654 | + | 0.0110713i | |||||
0.262711 | + | 0.578764i | 0.0104833 | + | 0.0230952i | |||||
−5.75034 | − | 5.75034i | −0.229281 | − | 0.229281i | |||||
0 | 0 | |||||||||
− | 4.87006i | − | 0.193874i | −0.995291 | − | 0.0969370i | ||||
0.995291 | − | 0.0969370i | ||||||||
−1.70758 | − | 1.76078i | −0.0679237 | − | 0.0700399i | |||||
9.65483 | + | 5.57422i | 0.383745 | + | 0.221555i | |||||
−26.1881 | − | 4.75585i | −1.04006 | − | 0.188879i | |||||
−0.259925 | + | 0.970054i | −0.0103148 | + | 0.0384954i | |||||
−2.25519 | − | 2.74414i | −0.0894242 | − | 0.108812i | |||||
0 | 0 | |||||||||
10.5942 | − | 22.4195i | 0.419430 | − | 0.887595i | |||||
4.19436 | + | 7.26484i | 0.165926 | + | 0.287393i | |||||
−3.54084 | − | 10.9304i | −0.139964 | − | 0.432061i | |||||
−17.1939 | + | 29.7808i | −0.679120 | + | 1.17627i | 0.296126 | + | 0.955149i | ||
−0.975246 | + | 0.221121i | ||||||||
−32.1367 | + | 2.64611i | −1.26834 | + | 0.104434i | |||||
11.9018 | − | 11.9018i | 0.469361 | − | 0.469361i | −0.432346 | − | 0.901708i | ||
0.901708 | + | 0.432346i | ||||||||
0 | 0 | |||||||||
−5.48825 | − | 5.48825i | −0.216099 | − | 0.216099i | |||||
−0.0902951 | + | 0.106499i | −0.00355261 | + | 0.00419015i | |||||
−4.56190 | − | 2.63381i | −0.179347 | − | 0.103546i | 0.407639 | − | 0.913143i | ||
−0.586986 | + | 0.809597i | ||||||||
−1.53300 | + | 5.38922i | −0.0602221 | + | 0.211709i | |||||
15.3139 | − | 8.84148i | 0.601123 | − | 0.347058i | |||||
19.8607 | − | 7.11392i | 0.779000 | − | 0.279031i | |||||
0 | 0 | |||||||||
29.5458 | + | 2.88963i | 1.15710 | + | 0.113167i | |||||
33.1336 | + | 8.87812i | 1.29662 | + | 0.347427i | 0.840170 | − | 0.542323i | ||
0.456447 | + | 0.889751i | ||||||||
22.9464 | − | 15.8930i | 0.897276 | − | 0.621467i | |||||
−3.99985 | + | 6.92794i | −0.156287 | + | 0.270697i | |||||
10.9959 | + | 32.2481i | 0.429319 | + | 1.25908i | |||||
13.0959 | 0.510919 | |||||||||
0 | 0 | |||||||||
−14.4817 | + | 14.4817i | −0.564126 | + | 0.564126i | −0.930477 | − | 0.366351i | ||
0.366351 | + | 0.930477i | ||||||||
−5.47450 | + | 2.48497i | −0.213095 | + | 0.0967274i | |||||
−15.3347 | + | 4.10893i | −0.596452 | + | 0.159819i | −0.544400 | − | 0.838826i | ||
−0.0520518 | + | 0.998644i | ||||||||
2.47476 | − | 13.6273i | 0.0961843 | − | 0.529640i | |||||
3.99889 | − | 2.30876i | 0.155304 | − | 0.0896648i | |||||
11.1743 | − | 18.6865i | 0.433646 | − | 0.725178i | |||||
0 | 0 | |||||||||
−5.88246 | − | 16.4227i | −0.227941 | − | 0.636367i | |||||
3.57180 | − | 13.3301i | 0.138301 | − | 0.516145i | |||||
4.77576 | + | 28.8039i | 0.184780 | + | 1.11446i | |||||
7.28634 | + | 27.1930i | 0.281706 | + | 1.05134i | |||||
5.01901 | − | 0.413261i | 0.193901 | − | 0.0159657i | |||||
11.2438 | 0.434061 | |||||||||
0 | 0 | |||||||||
−8.09831 | −0.312167 | −0.156083 | − | 0.987744i | ||||||
−0.156083 | + | 0.987744i | ||||||||
6.92883 | − | 0.570514i | 0.266889 | − | 0.0219754i | |||||
5.63161 | + | 21.0175i | 0.216761 | + | 0.808962i | |||||
−0.369151 | − | 2.22645i | −0.0141981 | − | 0.0856327i | |||||
5.86138 | − | 21.8750i | 0.225271 | − | 0.840724i | −0.757025 | − | 0.653386i | ||
0.982296 | − | 0.187337i | ||||||||
−11.5730 | − | 32.3095i | −0.444458 | − | 1.24084i | |||||
0 | 0 | |||||||||
−2.51026 | − | 1.50110i | −0.0962639 | − | 0.0575644i | |||||
−16.3505 | + | 9.43999i | −0.626554 | + | 0.361741i | |||||
5.31019 | − | 29.2406i | 0.203338 | − | 1.11968i | |||||
−36.8038 | + | 9.86156i | −1.40826 | + | 0.377342i | −0.881304 | − | 0.472550i | ||
−0.526956 | + | 0.849892i | ||||||||
−0.272729 | + | 0.123797i | −0.0104281 | + | 0.00473348i | |||||
7.94275 | − | 7.94275i | 0.303477 | − | 0.303477i | |||||
0 | 0 | |||||||||
−32.2606 | −1.23082 | |||||||||
−22.7419 | − | 11.1765i | −0.867027 | − | 0.426099i | |||||
−2.76660 | + | 4.79189i | −0.105399 | + | 0.182556i | |||||
−2.75065 | + | 1.90514i | −0.104715 | + | 0.0725275i | |||||
23.8952 | + | 6.40271i | 0.909018 | + | 0.243571i | 0.682885 | − | 0.730526i | ||
0.226133 | + | 0.974096i | ||||||||
−24.5841 | − | 2.40437i | −0.934548 | − | 0.0914004i | |||||
0 | 0 | |||||||||
−12.4525 | + | 4.46038i | −0.472691 | + | 0.169314i | |||||
−15.4421 | + | 8.91547i | −0.585750 | + | 0.338183i | |||||
−23.4552 | − | 6.67201i | −0.889068 | − | 0.252902i | |||||
7.51132 | + | 4.33666i | 0.284511 | + | 0.164263i | |||||
22.2542 | − | 26.2478i | 0.842334 | − | 0.993495i | |||||
10.8752 | + | 10.8752i | 0.411336 | + | 0.411336i | |||||
0 | 0 | |||||||||
−10.6300 | + | 10.6300i | −0.401489 | + | 0.401489i | −0.878757 | − | 0.477269i | ||
0.477269 | + | 0.878757i | ||||||||
29.0460 | − | 2.39162i | 1.09627 | − | 0.0902660i | |||||
−0.387181 | + | 0.670617i | −0.0146028 | + | 0.0252928i | |||||
−14.2984 | + | 13.4470i | −0.538892 | + | 0.506804i | |||||
−7.38785 | − | 12.7961i | −0.278242 | − | 0.481930i | |||||
−4.93612 | + | 10.4458i | −0.185773 | + | 0.393132i | |||||
0 | 0 | |||||||||
−11.0413 | − | 13.4351i | −0.414956 | − | 0.504921i | |||||
−0.916878 | + | 3.42184i | −0.0344341 | + | 0.128510i | −0.981003 | − | 0.193991i | ||
0.946569 | + | 0.322501i | ||||||||
7.67492 | + | 1.39379i | 0.288034 | + | 0.0523080i | |||||
−1.15994 | − | 0.669691i | −0.0435011 | − | 0.0251154i | |||||
9.21772 | − | 8.93921i | 0.345449 | − | 0.335011i | |||||
− | 16.5398i | − | 0.619422i | |||||||
0 | 0 | |||||||||
6.62251 | + | 6.62251i | 0.247668 | + | 0.247668i | |||||
−0.389927 | − | 0.859027i | −0.0145723 | − | 0.0321033i | |||||
4.67400 | + | 17.4436i | 0.174554 | + | 0.651444i | |||||
13.4503 | − | 9.31590i | 0.501962 | − | 0.347666i | |||||
8.10598 | + | 14.0400i | 0.302302 | + | 0.523603i | 0.976657 | − | 0.214805i | ||
−0.674355 | + | 0.738407i | ||||||||
−3.49282 | − | 5.21194i | −0.130170 | − | 0.194237i | |||||
0 | 0 | |||||||||
−24.2821 | − | 11.4745i | −0.903688 | − | 0.427035i | |||||
23.0858 | + | 6.18582i | 0.858569 | + | 0.230053i | |||||
−35.5735 | − | 25.4548i | −1.32208 | − | 0.946022i | |||||
−27.3952 | + | 7.34051i | −1.01743 | + | 0.272620i | |||||
−6.48108 | − | 5.49498i | −0.240536 | − | 0.203938i | |||||
− | 14.2822i | − | 0.529699i | −0.964290 | − | 0.264849i | ||||
0.964290 | − | 0.264849i | ||||||||
0 | 0 | |||||||||
22.9031i | 0.848263i | |||||||||
7.87515 | − | 9.28839i | 0.291473 | − | 0.343779i | |||||
−6.23082 | + | 1.66954i | −0.230455 | + | 0.0617503i | |||||
−1.80866 | − | 10.9085i | −0.0668501 | − | 0.403191i | |||||
−33.2603 | − | 8.91206i | −1.22850 | − | 0.329175i | −0.414502 | − | 0.910048i | ||
−0.813994 | + | 0.580874i | ||||||||
5.14015 | − | 10.8775i | 0.189726 | − | 0.401497i | |||||
0 | 0 | |||||||||
−6.49240 | + | 8.78531i | −0.239313 | + | 0.323831i | |||||
−4.30162 | − | 7.45062i | −0.158452 | − | 0.274447i | |||||
10.5934 | + | 15.2948i | 0.389950 | + | 0.563010i | |||||
−5.40009 | − | 20.1534i | −0.198646 | − | 0.741356i | −0.991293 | − | 0.131675i | ||
0.792647 | − | 0.609681i | ||||||||
−15.1854 | − | 5.70352i | −0.558225 | − | 0.209666i | |||||
−0.310906 | − | 0.310906i | −0.0114214 | − | 0.0114214i | |||||
0 | 0 | |||||||||
− | 30.1201i | − | 1.10500i | −0.833513 | − | 0.552500i | ||||
0.833513 | − | 0.552500i | ||||||||
−29.2230 | − | 0.448251i | −1.07137 | − | 0.0164337i | |||||
−4.60854 | − | 2.66074i | −0.168844 | − | 0.0974820i | |||||
1.32543 | − | 7.29848i | 0.0485274 | − | 0.267216i | |||||
3.07719 | − | 11.4842i | 0.112588 | − | 0.420186i | |||||
−0.486359 | + | 4.97291i | −0.0177831 | + | 0.181828i | |||||
0 | 0 | |||||||||
14.0501 | + | 6.63935i | 0.513039 | + | 0.242435i | |||||
−22.6093 | − | 39.1605i | −0.825026 | − | 1.42899i | −0.901900 | − | 0.431946i | ||
0.0768741 | − | 0.997041i | ||||||||
−36.3119 | − | 31.7570i | −1.32416 | − | 1.15806i | |||||
7.88217 | − | 13.6523i | 0.287242 | − | 0.497518i | |||||
3.11736 | + | 37.8600i | 0.113528 | + | 1.37878i | |||||
−0.979047 | + | 0.979047i | −0.0356312 | + | 0.0356312i | |||||
0 | 0 | |||||||||
−10.1353 | − | 10.1353i | −0.368375 | − | 0.368375i | 0.498509 | − | 0.866884i | ||
−0.866884 | + | 0.498509i | ||||||||
−5.53703 | − | 4.69457i | −0.201114 | − | 0.170515i | |||||
4.95030 | + | 2.85806i | 0.179684 | + | 0.103741i | |||||
−0.0762005 | + | 0.267880i | −0.00276408 | + | 0.00971704i | |||||
−17.0843 | + | 9.86363i | −0.619306 | + | 0.357556i | −0.776599 | − | 0.629996i | ||
0.157293 | + | 0.987552i | ||||||||
−0.568951 | − | 1.58840i | −0.0206109 | − | 0.0575417i | |||||
0 | 0 | |||||||||
−7.72339 | − | 9.39788i | −0.279422 | − | 0.340003i | |||||
−1.54273 | − | 0.413374i | −0.0557776 | − | 0.0149456i | |||||
−5.60641 | − | 8.09456i | −0.202568 | − | 0.292468i | |||||
−13.5451 | + | 23.4607i | −0.489084 | + | 0.847118i | |||||
15.3462 | + | 11.7090i | 0.553756 | + | 0.422513i | |||||
41.2736 | 1.48837 | 0.744183 | − | 0.667976i | ||||||
0.744183 | + | 0.667976i | ||||||||
0 | 0 | |||||||||
−19.8101 | + | 19.8101i | −0.713444 | + | 0.713444i | |||||
−7.07565 | + | 18.8386i | −0.254658 | + | 0.678015i | |||||
−51.5773 | + | 13.8201i | −1.85511 | + | 0.497074i | −0.999779 | − | 0.0210159i | ||
−0.855326 | + | 0.518090i | ||||||||
−13.6146 | − | 2.47245i | −0.489365 | − | 0.0888704i | |||||
−29.4375 | + | 16.9958i | −1.05743 | + | 0.610506i | |||||
−44.9914 | + | 11.3188i | −1.61510 | + | 0.406320i | |||||
0 | 0 | |||||||||
17.5487 | − | 6.28579i | 0.629152 | − | 0.225356i | |||||
0.213755 | − | 0.797746i | 0.00765858 | − | 0.0285822i | |||||
5.35977 | − | 7.49035i | 0.191911 | − | 0.268198i | |||||
−3.44899 | − | 12.8718i | −0.123415 | − | 0.460590i | |||||
0.228200 | + | 2.77147i | 0.00816043 | + | 0.0991075i | |||||
−39.1812 | −1.40022 | |||||||||
0 | 0 | |||||||||
0.322740 | 0.0115191 | |||||||||
−1.10289 | − | 13.3945i | −0.0393389 | − | 0.477766i | |||||
0.132467 | + | 0.494375i | 0.00472196 | + | 0.0176226i | 0.968247 | − | 0.249997i | ||
−0.963525 | + | 0.267620i | ||||||||
−23.1945 | − | 16.5970i | −0.826269 | − | 0.591242i | |||||
−1.41140 | + | 5.26743i | −0.0502473 | + | 0.187526i | |||||
−1.17251 | + | 0.419982i | −0.0417160 | + | 0.0149423i | |||||
0 | 0 | |||||||||
−5.50089 | + | 9.19905i | −0.195466 | + | 0.326874i | |||||
−14.9176 | + | 8.61266i | −0.529739 | + | 0.305845i | |||||
8.68542 | + | 1.57730i | 0.308234 | + | 0.0559763i | |||||
−1.74212 | + | 0.466799i | −0.0617865 | + | 0.0165556i | |||||
21.8311 | + | 8.19964i | 0.773784 | + | 0.290628i | |||||
−35.5605 | + | 35.5605i | −1.25962 | + | 1.25962i | −0.308341 | + | 0.951276i | ||
−0.951276 | + | 0.308341i | ||||||||
0 | 0 | |||||||||
−12.2801 | −0.434438 | |||||||||
22.3074 | + | 2.52767i | 0.788686 | + | 0.0893666i | |||||
3.50586 | − | 6.07232i | 0.123873 | − | 0.214555i | |||||
12.8043 | + | 18.4869i | 0.452137 | + | 0.652796i | |||||
−20.0946 | − | 5.38433i | −0.709123 | − | 0.190009i | |||||
−6.53653 | + | 5.37187i | −0.230526 | + | 0.189451i | |||||
0 | 0 | |||||||||
15.3529 | + | 42.8623i | 0.540783 | + | 1.50976i | |||||
0.416833 | − | 0.240659i | 0.0146732 | − | 0.00847158i | |||||
22.7261 | − | 12.6602i | 0.799501 | − | 0.445384i | |||||
1.17802 | + | 0.680131i | 0.0414170 | + | 0.0239121i | 0.520566 | − | 0.853822i | ||
−0.479149 | + | 0.877734i | ||||||||
2.17006 | + | 1.83989i | 0.0762483 | + | 0.0646471i | |||||
−12.4370 | − | 12.4370i | −0.436722 | − | 0.436722i | 0.454186 | − | 0.890907i | ||
−0.890907 | + | 0.454186i | ||||||||
0 | 0 | |||||||||
−9.06114 | + | 9.06114i | −0.317788 | + | 0.317788i | |||||
2.27403 | + | 27.6179i | 0.0797049 | + | 0.968006i | |||||
7.53706 | − | 13.0546i | 0.264012 | − | 0.457282i | |||||
4.90288 | − | 0.328080i | 0.171635 | − | 0.0114851i | |||||
0.307119 | + | 0.531945i | 0.0107447 | + | 0.0186104i | |||||
7.29164 | + | 3.44564i | 0.254946 | + | 0.120474i | |||||
0 | 0 | |||||||||
17.2183 | + | 1.68398i | 0.601290 | + | 0.0588072i | |||||
−1.42969 | + | 5.33567i | −0.0498965 | + | 0.186216i | −0.986376 | − | 0.164506i | ||
0.936480 | + | 0.350722i | ||||||||
−3.37197 | + | 18.5678i | −0.117611 | + | 0.647626i | |||||
−16.5082 | − | 9.53100i | −0.575439 | − | 0.332230i | 0.183880 | − | 0.982949i | ||
−0.759319 | + | 0.650719i | ||||||||
15.6960 | − | 15.2218i | 0.546797 | − | 0.530276i | |||||
− | 11.7474i | − | 0.408991i | |||||||
0 | 0 | |||||||||
3.94521 | + | 3.94521i | 0.137188 | + | 0.137188i | 0.772366 | − | 0.635178i | ||
−0.635178 | + | 0.772366i | ||||||||
−2.09743 | + | 5.58431i | −0.0728907 | + | 0.194068i | |||||
6.94085 | + | 25.9036i | 0.241066 | + | 0.899669i | 0.975320 | + | 0.220795i | ||
−0.734255 | + | 0.678874i | ||||||||
−6.29484 | − | 9.08851i | −0.218497 | − | 0.315467i | |||||
6.94562 | + | 12.0302i | 0.240941 | + | 0.417322i | |||||
8.66994 | − | 28.7932i | 0.300576 | − | 0.998226i | |||||
0 | 0 | |||||||||
12.7989 | − | 27.0850i | 0.443190 | − | 0.937875i | |||||
14.3203 | + | 3.83713i | 0.495576 | + | 0.132789i | |||||
0.469380 | − | 0.0778244i | 0.0162338 | − | 0.00269161i | |||||
−45.3588 | + | 12.1539i | −1.56783 | + | 0.420099i | |||||
5.91263 | − | 6.97368i | 0.204249 | − | 0.240902i | |||||
5.34140i | 0.184406i | 0.995740 | + | 0.0922028i | ||||||
−0.995740 | + | 0.0922028i | ||||||||
0 | 0 | |||||||||
− | 22.0706i | − | 0.761056i | |||||||
0.642619 | + | 0.544844i | 0.0221461 | + | 0.0187766i | |||||
−21.7171 | + | 5.81908i | −0.747976 | + | 0.200420i | |||||
10.7548 | − | 15.0300i | 0.370197 | − | 0.517356i | |||||
−1.10692 | − | 0.296598i | −0.0380791 | − | 0.0102033i | |||||
−23.8167 | − | 11.2545i | −0.818837 | − | 0.386939i | |||||
0 | 0 | |||||||||
−4.89146 | + | 3.27804i | −0.167973 | + | 0.112568i | |||||
5.48222 | + | 9.49549i | 0.188149 | + | 0.325884i | |||||
4.69816 | − | 3.25402i | 0.161145 | − | 0.111612i | |||||
3.99165 | + | 14.8971i | 0.136832 | + | 0.510664i | |||||
−11.9332 | + | 5.41671i | −0.408826 | + | 0.185574i | |||||
−1.42841 | − | 1.42841i | −0.0489078 | − | 0.0489078i | 0.682230 | − | 0.731138i | ||
−0.731138 | + | 0.682230i | ||||||||
0 | 0 | |||||||||
0.152084i | 0.00520115i | |||||||||
−0.819860 | + | 53.4494i | −0.0280222 | + | 1.82686i | |||||
−22.1543 | − | 12.7908i | −0.756778 | − | 0.436926i | 0.0713599 | − | 0.997451i | ||
−0.828138 | + | 0.560525i | ||||||||
−15.4815 | − | 2.81148i | −0.528528 | − | 0.0959825i | |||||
11.7968 | − | 44.0264i | 0.402503 | − | 1.50216i | −0.406113 | − | 0.913823i | ||
0.808616 | − | 0.588337i | ||||||||
−9.94066 | + | 8.16946i | −0.338974 | + | 0.278576i | |||||
0 | 0 | |||||||||
12.7512 | − | 26.9839i | 0.434306 | − | 0.919075i | |||||
−19.7223 | − | 34.1601i | −0.671356 | − | 1.16282i | −0.977520 | − | 0.210843i | ||
0.306164 | − | 0.951979i | ||||||||
28.8636 | + | 11.3491i | 0.981959 | + | 0.386104i | |||||
−6.27135 | + | 10.8623i | −0.213232 | + | 0.369329i | |||||
19.6923 | − | 1.62145i | 0.669172 | − | 0.0550991i | |||||
−13.6178 | + | 13.6178i | −0.462486 | + | 0.462486i | |||||
0 | 0 | |||||||||
1.50449 | + | 1.50449i | 0.0510364 | + | 0.0510364i | |||||
−8.00765 | + | 9.44466i | −0.271485 | + | 0.320204i | |||||
11.4143 | + | 6.59004i | 0.386758 | + | 0.223295i | |||||
−22.5193 | − | 40.4239i | −0.762598 | − | 1.36893i | |||||
−21.9398 | + | 12.6669i | −0.742548 | + | 0.428710i | |||||
0.249287 | − | 0.0892924i | 0.00843226 | − | 0.00302036i | |||||
0 | 0 | |||||||||
−1.99140 | + | 20.3616i | −0.0672832 | + | 0.687955i | |||||
10.1823 | + | 2.72833i | 0.343831 | + | 0.0921292i | 0.426602 | − | 0.904439i | ||
−0.0827714 | + | 0.996569i | ||||||||
6.30037 | − | 4.36373i | 0.212627 | − | 0.147269i | |||||
−10.2534 | + | 17.7594i | −0.345839 | + | 0.599011i | |||||
3.21658 | + | 9.43337i | 0.108431 | + | 0.317999i | |||||
15.4426 | 0.520274 | 0.260137 | − | 0.965572i | ||||||
0.260137 | + | 0.965572i | ||||||||
0 | 0 | |||||||||
10.0224 | − | 10.0224i | 0.337280 | − | 0.337280i | −0.518063 | − | 0.855343i | ||
0.855343 | + | 0.518063i | ||||||||
−3.16395 | − | 6.97032i | −0.106415 | − | 0.234437i | |||||
−8.52927 | + | 2.28541i | −0.286708 | + | 0.0768233i | |||||
1.52699 | − | 8.40840i | 0.0513004 | − | 0.282486i | |||||
−37.9027 | + | 21.8831i | −1.27265 | + | 0.734763i | −0.975485 | − | 0.220064i | ||
−0.297162 | + | 0.954827i | ||||||||
26.4287 | − | 6.64883i | 0.886888 | − | 0.223120i | |||||
0 | 0 | |||||||||
−2.19862 | − | 6.13812i | −0.0736979 | − | 0.205750i | |||||
1.25795 | − | 4.69474i | 0.0421430 | − | 0.157280i | |||||
46.0415 | − | 7.63380i | 1.54158 | − | 0.255598i | |||||
0.302644 | + | 1.12948i | 0.0101276 | + | 0.0377967i | |||||
8.91016 | − | 0.733655i | 0.298000 | − | 0.0245371i | |||||
−0.479024 | −0.0160120 | |||||||||
0 | 0 | |||||||||
−8.75703 | −0.292389 | |||||||||
25.9707 | − | 2.13841i | 0.866655 | − | 0.0713596i | |||||
−15.8419 | − | 59.1229i | −0.528358 | − | 1.97186i | |||||
12.0942 | − | 2.00524i | 0.403139 | − | 0.0668415i | |||||
−0.387956 | + | 1.44787i | −0.0129247 | + | 0.0482356i | |||||
−9.96636 | − | 27.8242i | −0.331844 | − | 0.926443i | |||||
0 | 0 | |||||||||
−55.1750 | + | 13.8807i | −1.83509 | + | 0.461666i | |||||
−19.2356 | + | 11.1057i | −0.639413 | + | 0.369165i | |||||
0.415639 | − | 2.28872i | 0.0138087 | − | 0.0760377i | |||||
46.8743 | − | 12.5599i | 1.55643 | − | 0.417045i | 0.624902 | − | 0.780703i | ||
0.931533 | + | 0.363658i | ||||||||
12.9367 | + | 28.5001i | 0.429319 | + | 0.945808i | |||||
10.0449 | − | 10.0449i | 0.333169 | − | 0.333169i | |||||
0 | 0 | |||||||||
−35.2525 | −1.16797 | −0.583983 | − | 0.811766i | ||||||
−0.583983 | + | 0.811766i | ||||||||
−0.151008 | − | 0.442867i | −0.00500038 | − | 0.0146648i | |||||
−9.44340 | + | 16.3564i | −0.312531 | + | 0.541319i | |||||
41.8210 | − | 28.9659i | 1.38332 | − | 0.958107i | |||||
−5.42336 | − | 1.45319i | −0.179291 | − | 0.0480409i | |||||
−5.20567 | + | 53.2268i | −0.172000 | + | 1.75866i | |||||
0 | 0 | |||||||||
7.43278 | − | 2.66236i | 0.245318 | − | 0.0878708i | |||||
22.1228 | − | 12.7726i | 0.729763 | − | 0.421329i | −0.0885726 | − | 0.996070i | ||
0.818335 | + | 0.574741i | ||||||||
2.69944 | + | 4.84572i | 0.0889980 | + | 0.159759i | |||||
−26.3510 | − | 15.2138i | −0.868295 | − | 0.501310i | |||||
1.16907 | − | 1.37886i | 0.0385012 | − | 0.0454105i | |||||
14.4357 | + | 14.4357i | 0.475156 | + | 0.475156i | |||||
0 | 0 | |||||||||
22.4120 | − | 22.4120i | 0.736903 | − | 0.736903i | |||||
−17.7588 | + | 1.46224i | −0.583590 | + | 0.0480523i | |||||
5.96981 | − | 10.3400i | 0.196074 | − | 0.339610i | |||||
−14.7930 | + | 37.6222i | −0.485603 | + | 1.23501i | |||||
1.98515 | + | 3.43838i | 0.0651306 | + | 0.112810i | 0.896752 | − | 0.442534i | ||
−0.831621 | + | 0.555343i | ||||||||
−6.34051 | + | 13.4177i | −0.207913 | + | 0.439985i | |||||
0 | 0 | |||||||||
19.6978 | − | 16.1881i | 0.645222 | − | 0.530258i | |||||
2.04354 | − | 7.62660i | 0.0669025 | − | 0.249684i | |||||
−11.5339 | − | 2.09460i | −0.377402 | − | 0.0685375i | |||||
2.19724 | + | 1.26858i | 0.0718576 | + | 0.0414870i | |||||
0.251842 | − | 16.4184i | 0.00823170 | − | 0.536653i | |||||
− | 18.3326i | − | 0.598899i | −0.954112 | − | 0.299450i | ||||
0.954112 | − | 0.299450i | ||||||||
0 | 0 | |||||||||
16.3565 | + | 16.3565i | 0.533773 | + | 0.533773i | |||||
−22.3045 | + | 10.1244i | −0.727492 | + | 0.330221i | |||||
−7.71512 | − | 28.7932i | −0.251506 | − | 0.938632i | −0.970001 | − | 0.243100i | ||
0.718496 | − | 0.695531i | ||||||||
−0.445742 | + | 0.308728i | −0.0145230 | + | 0.0100589i | |||||
−8.22438 | − | 14.2451i | −0.267823 | − | 0.463883i | |||||
−23.9482 | + | 16.0491i | −0.779448 | + | 0.522352i | |||||
0 | 0 | |||||||||
19.8739 | + | 9.39136i | 0.646157 | + | 0.305339i | |||||
−27.1840 | − | 7.28394i | −0.883362 | − | 0.236696i | −0.211505 | − | 0.977377i | ||
−0.671857 | + | 0.740681i | ||||||||
1.21763 | − | 1.70165i | 0.0395467 | − | 0.0552670i | |||||
30.7847 | − | 8.24874i | 0.999314 | − | 0.267765i | |||||
−0.415081 | − | 0.351926i | −0.0134670 | − | 0.0114180i | |||||
− | 22.7060i | − | 0.736291i | |||||||
0 | 0 | |||||||||
− | 9.54510i | − | 0.309196i | −0.987977 | − | 0.154598i | ||||
0.987977 | − | 0.154598i | ||||||||
−2.07938 | + | 2.45254i | −0.0673225 | + | 0.0794038i | |||||
−5.96625 | + | 1.59865i | −0.193063 | + | 0.0517311i | |||||
29.5345 | − | 4.89689i | 0.955212 | − | 0.158377i | |||||
20.4327 | + | 5.47492i | 0.660495 | + | 0.176979i | |||||
5.60615 | − | 11.8637i | 0.181126 | − | 0.383298i | |||||
0 | 0 | |||||||||
8.63470 | − | 4.63812i | 0.278684 | − | 0.149695i | |||||
−21.1794 | − | 36.6839i | −0.683208 | − | 1.18335i | |||||
−24.1722 | − | 34.8999i | −0.779343 | − | 1.12522i | |||||
7.55502 | + | 28.1957i | 0.243457 | + | 0.908595i | |||||
13.9312 | − | 37.0911i | 0.448693 | − | 1.19462i | |||||
7.22535 | + | 7.22535i | 0.232592 | + | 0.232592i | |||||
0 | 0 | |||||||||
54.0255i | 1.73734i | 0.495388 | + | 0.868672i | ||||||
−0.495388 | + | 0.868672i | ||||||||
−10.1120 | + | 9.80646i | −0.325012 | + | 0.315192i | |||||
−0.103154 | − | 0.0595558i | −0.00331377 | − | 0.00191321i | |||||
−4.20923 | + | 23.1782i | −0.135150 | + | 0.744207i | |||||
−1.54187 | + | 5.75433i | −0.0494809 | + | 0.184665i | −0.986243 | − | 0.165301i | ||
0.936762 | + | 0.349966i | ||||||||
27.9827 | + | 2.73675i | 0.897544 | + | 0.0877813i | |||||
0 | 0 | |||||||||
49.4665 | + | 23.3752i | 1.58501 | + | 0.748991i | |||||
8.99842 | + | 15.5857i | 0.288180 | + | 0.499143i | |||||
−18.2899 | + | 1.22388i | −0.585444 | + | 0.0391754i | |||||
14.6499 | − | 25.3743i | 0.468690 | − | 0.811795i | −0.530669 | − | 0.847579i | ||
0.999360 | + | 0.0357835i | ||||||||
2.07822 | + | 25.2398i | 0.0664542 | + | 0.807078i | |||||
−7.87607 | + | 7.87607i | −0.251720 | + | 0.251720i | |||||
0 | 0 | |||||||||
−17.8673 | − | 17.8673i | −0.570460 | − | 0.570460i | |||||
−45.4729 | − | 38.5542i | −1.45110 | − | 1.23031i | |||||
13.8442 | + | 7.99296i | 0.441562 | + | 0.254936i | 0.704260 | − | 0.709942i | ||
−0.262698 | + | 0.964878i | ||||||||
−25.3914 | + | 14.1450i | −0.809449 | + | 0.450926i | |||||
−12.5419 | + | 7.24108i | −0.399619 | + | 0.230720i | |||||
3.47024 | + | 9.68825i | 0.110515 | + | 0.308537i | |||||
0 | 0 | |||||||||
−0.563133 | + | 0.462795i | −0.0179156 | + | 0.0147235i | |||||
11.8166 | + | 3.16625i | 0.375746 | + | 0.100681i | |||||
3.09884 | + | 4.47411i | 0.0984876 | + | 0.142197i | |||||
−10.3826 | + | 17.9832i | −0.329814 | + | 0.571255i | −0.982475 | − | 0.186396i | ||
0.652661 | + | 0.757650i | ||||||||
−5.45509 | + | 48.1428i | −0.173199 | + | 1.52853i | |||||
11.8153 | 0.374948 | |||||||||
0 | 0 | |||||||||
8.37312 | − | 8.37312i | 0.265446 | − | 0.265446i | |||||
17.3878 | + | 6.53077i | 0.550955 | + | 0.206935i | |||||
48.0242 | − | 12.8681i | 1.52094 | − | 0.407535i | 0.600890 | − | 0.799331i | ||
0.920052 | + | 0.391796i | ||||||||
15.5568 | + | 2.82518i | 0.492443 | + | 0.0894294i | |||||
37.9205 | − | 21.8934i | 1.19975 | − | 0.692677i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 784.2.x.o.165.12 | 48 | ||
7.2 | even | 3 | inner | 784.2.x.o.373.5 | 48 | ||
7.3 | odd | 6 | 784.2.m.j.197.5 | 24 | |||
7.4 | even | 3 | 784.2.m.k.197.5 | 24 | |||
7.5 | odd | 6 | 112.2.w.c.37.5 | ✓ | 48 | ||
7.6 | odd | 2 | 112.2.w.c.53.12 | yes | 48 | ||
16.13 | even | 4 | inner | 784.2.x.o.557.5 | 48 | ||
28.19 | even | 6 | 448.2.ba.c.177.4 | 48 | |||
28.27 | even | 2 | 448.2.ba.c.305.9 | 48 | |||
56.5 | odd | 6 | 896.2.ba.f.737.4 | 48 | |||
56.13 | odd | 2 | 896.2.ba.f.865.9 | 48 | |||
56.19 | even | 6 | 896.2.ba.e.737.9 | 48 | |||
56.27 | even | 2 | 896.2.ba.e.865.4 | 48 | |||
112.5 | odd | 12 | 896.2.ba.f.289.9 | 48 | |||
112.13 | odd | 4 | 112.2.w.c.109.5 | yes | 48 | ||
112.19 | even | 12 | 448.2.ba.c.401.9 | 48 | |||
112.27 | even | 4 | 896.2.ba.e.417.9 | 48 | |||
112.45 | odd | 12 | 784.2.m.j.589.5 | 24 | |||
112.61 | odd | 12 | 112.2.w.c.93.12 | yes | 48 | ||
112.69 | odd | 4 | 896.2.ba.f.417.4 | 48 | |||
112.75 | even | 12 | 896.2.ba.e.289.4 | 48 | |||
112.83 | even | 4 | 448.2.ba.c.81.4 | 48 | |||
112.93 | even | 12 | inner | 784.2.x.o.765.12 | 48 | ||
112.109 | even | 12 | 784.2.m.k.589.5 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.w.c.37.5 | ✓ | 48 | 7.5 | odd | 6 | ||
112.2.w.c.53.12 | yes | 48 | 7.6 | odd | 2 | ||
112.2.w.c.93.12 | yes | 48 | 112.61 | odd | 12 | ||
112.2.w.c.109.5 | yes | 48 | 112.13 | odd | 4 | ||
448.2.ba.c.81.4 | 48 | 112.83 | even | 4 | |||
448.2.ba.c.177.4 | 48 | 28.19 | even | 6 | |||
448.2.ba.c.305.9 | 48 | 28.27 | even | 2 | |||
448.2.ba.c.401.9 | 48 | 112.19 | even | 12 | |||
784.2.m.j.197.5 | 24 | 7.3 | odd | 6 | |||
784.2.m.j.589.5 | 24 | 112.45 | odd | 12 | |||
784.2.m.k.197.5 | 24 | 7.4 | even | 3 | |||
784.2.m.k.589.5 | 24 | 112.109 | even | 12 | |||
784.2.x.o.165.12 | 48 | 1.1 | even | 1 | trivial | ||
784.2.x.o.373.5 | 48 | 7.2 | even | 3 | inner | ||
784.2.x.o.557.5 | 48 | 16.13 | even | 4 | inner | ||
784.2.x.o.765.12 | 48 | 112.93 | even | 12 | inner | ||
896.2.ba.e.289.4 | 48 | 112.75 | even | 12 | |||
896.2.ba.e.417.9 | 48 | 112.27 | even | 4 | |||
896.2.ba.e.737.9 | 48 | 56.19 | even | 6 | |||
896.2.ba.e.865.4 | 48 | 56.27 | even | 2 | |||
896.2.ba.f.289.9 | 48 | 112.5 | odd | 12 | |||
896.2.ba.f.417.4 | 48 | 112.69 | odd | 4 | |||
896.2.ba.f.737.4 | 48 | 56.5 | odd | 6 | |||
896.2.ba.f.865.9 | 48 | 56.13 | odd | 2 |