Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [357,2,Mod(10,357)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(357, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 8, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("357.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 357.bl (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 10.15 | ||
Character | 357.10 | ||
Dual form | 357.2.bl.a.250.15 |
-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 .
0.559246 | − | 0.0736262i | 0.395447 | − | 0.0520616i | 0.0698192 | − | 0.997560i | ||
0.325628 | + | 0.945498i | ||||||||
−0.442289 | − | 0.896873i | −0.255355 | − | 0.517810i | |||||
−1.62452 | + | 0.435288i | −0.812258 | + | 0.217644i | |||||
1.94651 | − | 1.70704i | 0.870505 | − | 0.763413i | −0.102369 | − | 0.994746i | ||
0.972874 | + | 0.231334i | ||||||||
−0.313382 | − | 0.469009i | −0.127937 | − | 0.191472i | |||||
2.53814 | − | 0.746878i | 0.959328 | − | 0.282293i | |||||
−1.91873 | + | 0.794762i | −0.678372 | + | 0.280991i | |||||
−0.608761 | + | 0.793353i | −0.202920 | + | 0.264451i | |||||
0.962895 | − | 1.09797i | 0.304494 | − | 0.347209i | |||||
0.958076 | − | 0.0627956i | 0.288871 | − | 0.0189336i | 0.0797210 | − | 0.996817i | ||
0.209150 | + | 0.977884i | ||||||||
1.10890 | + | 1.26446i | 0.320113 | + | 0.365019i | |||||
−3.77608 | − | 3.77608i | −1.04730 | − | 1.04730i | −0.998825 | − | 0.0484722i | ||
−0.0484722 | − | 0.998825i | ||||||||
1.36446 | − | 0.604562i | 0.364667 | − | 0.161576i | |||||
−2.39192 | − | 0.990765i | −0.617591 | − | 0.255814i | |||||
1.89848 | − | 1.09609i | 0.474620 | − | 0.274022i | |||||
3.07312 | − | 2.74881i | 0.745341 | − | 0.666684i | |||||
−0.282036 | + | 0.488501i | −0.0664765 | + | 0.115141i | |||||
−0.417008 | − | 3.16749i | −0.0956682 | − | 0.726672i | −0.970304 | − | 0.241891i | ||
0.874635 | − | 0.484781i | ||||||||
−2.41908 | + | 3.62041i | −0.540923 | + | 0.809548i | |||||
−1.79245 | − | 1.94606i | −0.391144 | − | 0.424664i | |||||
0.531177 | − | 0.105658i | 0.113247 | − | 0.0225263i | |||||
−3.58688 | − | 1.76885i | −0.747916 | − | 0.368831i | 0.0280499 | − | 0.999607i | ||
−0.775966 | + | 0.630775i | ||||||||
1.56143 | + | 1.36934i | 0.318726 | + | 0.279515i | |||||
0.222272 | − | 1.68832i | 0.0444543 | − | 0.337664i | |||||
−2.38978 | − | 1.83374i | −0.468674 | − | 0.359626i | |||||
0.980785 | + | 0.195090i | 0.188752 | + | 0.0375451i | |||||
−3.79815 | + | 2.31814i | −0.717783 | + | 0.438087i | |||||
0.353142 | + | 1.77536i | 0.0655768 | + | 0.329677i | 0.999622 | − | 0.0274769i | ||
−0.934046 | + | 0.357154i | ||||||||
−1.41062 | − | 0.377974i | −0.257542 | − | 0.0690083i | |||||
9.23067 | − | 4.55206i | 1.65788 | − | 0.817574i | 0.660083 | − | 0.751193i | ||
0.997794 | − | 0.0663814i | ||||||||
4.27631 | − | 3.28133i | 0.755952 | − | 0.580062i | |||||
−0.480066 | − | 0.831499i | −0.0835688 | − | 0.144745i | |||||
1.51625 | − | 1.76352i | 0.260034 | − | 0.302442i | |||||
3.66557 | − | 5.78652i | 0.619594 | − | 0.978101i | |||||
0.643606 | − | 1.55380i | 0.107268 | − | 0.258967i | |||||
−0.606978 | + | 9.26070i | −0.0997866 | + | 1.52245i | 0.595288 | + | 0.803512i | ||
−0.695075 | + | 0.718938i | ||||||||
−0.466420 | − | 1.74070i | −0.0756633 | − | 0.282379i | |||||
−1.71655 | + | 5.05678i | −0.274867 | + | 0.809733i | |||||
−2.37812 | + | 4.82236i | −0.376014 | + | 0.762481i | |||||
−1.08348 | + | 5.44704i | −0.169212 | + | 0.850685i | 0.799149 | + | 0.601133i | ||
−0.968361 | + | 0.249553i | ||||||||
−1.14570 | − | 0.956354i | −0.176785 | − | 0.147569i | |||||
−0.368499 | − | 0.889635i | −0.0561955 | − | 0.135668i | 0.893288 | − | 0.449485i | ||
−0.949484 | + | 0.313817i | ||||||||
−1.52908 | + | 0.519051i | −0.230517 | + | 0.0782499i | |||||
0.169328 | + | 2.58345i | 0.0252420 | + | 0.385118i | |||||
−2.13618 | − | 0.725136i | −0.314963 | − | 0.106915i | |||||
−3.22686 | + | 12.0428i | −0.470685 | + | 1.75662i | 0.166631 | + | 0.986019i | ||
−0.637316 | + | 0.770602i | ||||||||
−1.82273 | − | 1.21791i | −0.263088 | − | 0.175790i | |||||
5.88435 | − | 3.79137i | 0.840621 | − | 0.541624i | |||||
− | 0.960552i | − | 0.135843i | |||||||
−3.82454 | − | 1.54043i | −0.535542 | − | 0.215703i | |||||
7.77799 | + | 4.49062i | 1.07861 | + | 0.622737i | |||||
0.111916 | + | 0.145852i | 0.0153729 | + | 0.0200343i | 0.800977 | − | 0.598696i | ||
−0.785604 | + | 0.618730i | ||||||||
0.562864 | + | 0.0368921i | 0.0765961 | + | 0.00502037i | |||||
1.75771 | − | 1.75771i | 0.237009 | − | 0.237009i | |||||
−4.27641 | + | 3.45027i | −0.571459 | + | 0.461062i | |||||
−2.65640 | + | 1.77495i | −0.351848 | + | 0.235098i | |||||
0.328206 | + | 0.966865i | 0.0430956 | + | 0.126956i | |||||
−11.5804 | − | 1.52459i | −1.50764 | − | 0.198485i | −0.669038 | − | 0.743228i | ||
−0.838603 | + | 0.544743i | ||||||||
4.31698 | + | 0.568341i | 0.557319 | + | 0.0733725i | |||||
3.35591 | + | 9.88621i | 0.429681 | + | 1.26580i | 0.919195 | + | 0.393803i | ||
−0.489514 | + | 0.871996i | ||||||||
4.82707 | − | 3.22534i | 0.613038 | − | 0.409619i | |||||
−0.952586 | + | 2.46832i | −0.120015 | + | 0.310978i | |||||
−0.950284 | + | 0.950284i | −0.118785 | + | 0.118785i | |||||
−13.7961 | − | 0.904245i | −1.71120 | − | 0.112158i | |||||
−0.329695 | − | 0.429667i | −0.0405827 | − | 0.0528884i | |||||
5.04673 | + | 2.91373i | 0.616556 | + | 0.355969i | 0.775527 | − | 0.631314i | ||
−0.158971 | + | 0.987283i | ||||||||
−3.79581 | + | 5.80317i | −0.460309 | + | 0.703738i | |||||
3.99932i | 0.481461i | |||||||||
1.62392 | − | 3.50597i | 0.194095 | − | 0.419044i | |||||
−3.65486 | − | 2.44210i | −0.433752 | − | 0.289824i | 0.319462 | − | 0.947599i | ||
−0.753214 | + | 0.657775i | ||||||||
0.537519 | − | 2.00605i | 0.0633472 | − | 0.236415i | |||||
9.25085 | + | 3.14024i | 1.08273 | + | 0.367537i | 0.805093 | − | 0.593149i | ||
0.277637 | + | 0.960686i | ||||||||
0.342380 | + | 5.22370i | 0.0398008 | + | 0.607243i | |||||
−1.61252 | + | 0.547376i | −0.186197 | + | 0.0632055i | |||||
2.05621 | + | 4.96412i | 0.235863 | + | 0.569424i | |||||
2.38483 | − | 0.874950i | 0.271777 | − | 0.0997098i | |||||
−0.587661 | + | 2.95437i | −0.0665395 | + | 0.334517i | |||||
6.43131 | − | 13.0414i | 0.723579 | − | 1.46727i | −0.154115 | − | 0.988053i | ||
0.877695 | − | 0.479221i | ||||||||
1.82434 | − | 5.37432i | 0.203967 | − | 0.600868i | |||||
−0.258819 | − | 0.965926i | −0.0287577 | − | 0.107325i | |||||
−0.204890 | + | 3.12601i | −0.0226263 | + | 0.345210i | |||||
−6.07736 | + | 14.6721i | −0.667077 | + | 1.61047i | 0.119399 | + | 0.992846i | ||
−0.786476 | + | 0.617620i | ||||||||
3.75895 | + | 2.38117i | 0.410135 | + | 0.259807i | |||||
1.28952 | − | 10.5965i | 0.139868 | − | 1.14935i | |||||
−0.271582 | − | 0.470394i | −0.0292854 | − | 0.0507238i | |||||
1.43608 | − | 1.10195i | 0.153964 | − | 0.118141i | |||||
−1.78838 | + | 0.881930i | −0.190642 | + | 0.0940141i | |||||
9.93227 | + | 2.66134i | 1.05282 | + | 0.282102i | 0.743416 | − | 0.668829i | ||
0.309402 | + | 0.950931i | ||||||||
0.284906 | + | 1.43232i | 0.0300317 | + | 0.150980i | |||||
−12.4045 | − | 6.76397i | −1.30035 | − | 0.709056i | |||||
6.59690 | + | 1.31220i | 0.687774 | + | 0.136807i | |||||
−8.16524 | − | 6.26541i | −0.846696 | − | 0.649693i | |||||
−0.917943 | + | 6.97247i | −0.0946786 | + | 0.719155i | |||||
−6.21875 | − | 5.45370i | −0.638030 | − | 0.559537i | |||||
−4.83430 | − | 2.38401i | −0.493398 | − | 0.243317i | |||||
5.25025 | − | 1.04434i | 0.533082 | − | 0.106037i | 0.0787930 | − | 0.996891i | ||
0.454289 | + | 0.890854i | ||||||||
3.01166 | − | 2.55355i | 0.304223 | − | 0.257947i | |||||
−0.533421 | + | 0.798320i | −0.0536108 | + | 0.0802342i | |||||
0.373822 | + | 2.83946i | 0.0373822 | + | 0.283946i | |||||
3.62332 | − | 6.27577i | 0.360533 | − | 0.624462i | −0.627515 | − | 0.778604i | ||
0.988049 | + | 0.154142i | ||||||||
−2.25227 | − | 0.579893i | −0.223008 | − | 0.0574180i | |||||
9.46233 | − | 5.46308i | 0.932351 | − | 0.538293i | 0.0447966 | − | 0.998996i | ||
0.887554 | + | 0.460703i | ||||||||
10.2463 | + | 4.24418i | 1.00474 | + | 0.416176i | |||||
−6.81101 | − | 0.728234i | −0.664687 | − | 0.0710683i | |||||
0.0733273 | + | 0.0733273i | 0.00712218 | + | 0.00712218i | |||||
−6.98828 | − | 7.96861i | −0.675583 | − | 0.770355i | 0.307888 | − | 0.951423i | ||
−0.983471 | + | 0.181068i | ||||||||
−1.67822 | + | 0.109996i | −0.161487 | + | 0.0105844i | |||||
−1.92030 | + | 2.18968i | −0.183931 | + | 0.209733i | −0.836456 | − | 0.548034i | ||
0.652525 | + | 0.757767i | ||||||||
0.853579 | − | 1.11241i | 0.0813855 | − | 0.106064i | |||||
8.57413 | − | 3.55152i | 0.813820 | − | 0.337095i | |||||
3.99997 | − | 4.19996i | 0.377961 | − | 0.396859i | |||||
7.27876 | + | 10.8934i | 0.684728 | + | 1.02477i | 0.997196 | + | 0.0748391i | ||
−0.312468 | + | 0.949928i | ||||||||
−1.35490 | + | 1.18821i | −0.126898 | + | 0.111286i | |||||
−10.0014 | + | 2.67987i | −0.932635 | + | 0.249899i | |||||
−1.34648 | − | 2.73039i | −0.125017 | − | 0.253510i | |||||
5.29450 | − | 0.697034i | 0.489477 | − | 0.0644408i | |||||
−6.58855 | −0.606525 | |||||||||
5.74699 | − | 9.27211i | 0.526826 | − | 0.849973i | |||||
5.37686 | 0.490838 | |||||||||
−9.99193 | + | 1.31546i | −0.908357 | + | 0.119587i | |||||
2.60467 | + | 5.28174i | 0.235815 | + | 0.478186i | |||||
5.36452 | − | 1.43742i | 0.483702 | − | 0.129608i | |||||
−13.0139 | + | 11.4129i | −1.16868 | + | 1.02491i | |||||
4.74246 | + | 7.09759i | 0.424178 | + | 0.634828i | |||||
−0.350998 | + | 1.45053i | −0.0312694 | + | 0.129224i | |||||
−10.9584 | + | 4.53911i | −0.972398 | + | 0.402781i | −0.811604 | − | 0.584207i | ||
−0.160794 | + | 0.986988i | ||||||||
−7.02413 | + | 9.15403i | −0.620851 | + | 0.809109i | |||||
−0.634906 | + | 0.723972i | −0.0559004 | + | 0.0637422i | |||||
−7.78200 | + | 0.510059i | −0.682526 | + | 0.0447351i | |||||
−6.63518 | − | 7.56597i | −0.579718 | − | 0.661042i | 0.385433 | − | 0.922736i | ||
−0.965151 | + | 0.261694i | ||||||||
1.14182 | + | 1.14182i | 0.0993823 | + | 0.0993823i | |||||
−3.42415 | − | 7.72809i | −0.296912 | − | 0.670110i | |||||
3.03689 | + | 1.25792i | 0.262347 | + | 0.108668i | |||||
2.24213 | − | 1.29450i | 0.192972 | − | 0.111413i | |||||
−3.71182 | + | 7.71660i | −0.318286 | + | 0.661693i | |||||
−2.26000 | + | 3.91443i | −0.193084 | + | 0.334432i | −0.946271 | − | 0.323375i | ||
0.753186 | + | 0.657807i | ||||||||
0.294454 | + | 2.23660i | 0.0250656 | + | 0.190392i | |||||
−1.19426 | + | 1.78734i | −0.101296 | + | 0.151600i | −0.878655 | − | 0.477457i | ||
0.777359 | + | 0.629057i | ||||||||
−3.43597 | + | 10.9959i | −0.290392 | + | 0.929321i | |||||
12.2281 | − | 2.43231i | 1.02979 | − | 0.204838i | |||||
−2.22377 | − | 1.09664i | −0.186615 | − | 0.0920282i | |||||
−3.85490 | − | 3.38065i | −0.322363 | − | 0.282704i | |||||
−0.286136 | + | 2.17342i | −0.0238447 | + | 0.181118i | |||||
3.71801 | + | 2.85293i | 0.308764 | + | 0.236923i | |||||
5.40471 | + | 1.07506i | 0.447297 | + | 0.0889729i | |||||
−6.00295 | − | 3.60063i | −0.495115 | − | 0.296975i | |||||
−3.04502 | − | 15.3084i | −0.250299 | − | 1.25834i | |||||
9.97363 | + | 2.67243i | 0.817072 | + | 0.218934i | 0.643066 | − | 0.765811i | ||
0.174006 | + | 0.984745i | ||||||||
−0.861493 | + | 0.424841i | −0.0703406 | + | 0.0346881i | |||||
6.40253 | − | 4.91283i | 0.521030 | − | 0.399801i | −0.314489 | − | 0.949261i | ||
0.835520 | + | 0.549460i | ||||||||
3.31752 | + | 5.74612i | 0.269087 | + | 0.466072i | |||||
0.309980 | + | 4.11144i | 0.0250604 | + | 0.332390i | |||||
1.26929 | − | 0.664899i | 0.102282 | − | 0.0535791i | |||||
10.1970 | − | 24.6178i | 0.819044 | − | 1.97735i | |||||
0.587402 | − | 8.96202i | 0.0470298 | − | 0.717536i | |||||
0.473522 | + | 1.76721i | 0.0377912 | + | 0.141039i | 0.982244 | − | 0.187609i | ||
−0.944453 | + | 0.328648i | ||||||||
2.63650 | − | 7.76687i | 0.209749 | − | 0.617899i | |||||
0.0813115 | − | 0.164883i | 0.00644842 | − | 0.0130761i | |||||
2.72251 | − | 13.6870i | 0.215233 | − | 1.08205i | |||||
−10.4251 | − | 1.81064i | −0.821615 | − | 0.142699i | |||||
−0.215861 | − | 0.521135i | −0.0169596 | − | 0.0409442i | |||||
−4.57124 | + | 1.55173i | −0.358047 | + | 0.121541i | −0.494666 | − | 0.869083i | ||
0.136619 | + | 0.990624i | ||||||||
−0.610894 | − | 9.32044i | −0.0477028 | − | 0.727804i | |||||
−2.35386 | − | 0.799026i | −0.183247 | − | 0.0622041i | |||||
−2.31850 | + | 8.65274i | −0.179950 | + | 0.671583i | |||||
−2.02483 | − | 1.35295i | −0.156686 | − | 0.104694i | 0.474756 | − | 0.880118i | ||
−0.631442 | + | 0.775423i | ||||||||
4.98586 | + | 2.30938i | 0.384668 | + | 0.178172i | |||||
15.5176i | 1.19366i | |||||||||
−0.0590221 | − | 6.02101i | −0.00452679 | − | 0.461790i | |||||
2.76680 | + | 1.59741i | 0.211582 | + | 0.122157i | |||||
0.985879 | + | 1.28482i | 0.0751726 | + | 0.0979668i | |||||
−15.5591 | − | 1.01980i | −1.18294 | − | 0.0775338i | −0.538793 | − | 0.842438i | ||
−0.644144 | + | 0.764904i | ||||||||
0.721993 | − | 0.721993i | 0.0547341 | − | 0.0547341i | |||||
−0.696812 | − | 4.45121i | −0.0526740 | − | 0.336480i | |||||
1.75006 | − | 1.16935i | 0.131916 | − | 0.0881431i | |||||
3.75452 | + | 11.0605i | 0.282207 | + | 0.831355i | |||||
5.75053 | + | 0.757071i | 0.431020 | + | 0.0567449i | |||||
4.93527 | + | 0.649740i | 0.368879 | + | 0.0485639i | 0.312687 | − | 0.949856i | ||
0.0561919 | + | 0.998420i | ||||||||
−1.39962 | − | 4.12315i | −0.104322 | − | 0.307322i | |||||
1.69387 | − | 1.13181i | 0.125905 | − | 0.0841268i | −0.491023 | − | 0.871146i | ||
0.616928 | + | 0.787020i | ||||||||
−7.43518 | − | 2.86943i | −0.551132 | − | 0.212696i | |||||
7.38239 | − | 7.38239i | 0.545722 | − | 0.545722i | |||||
8.28805 | + | 0.543227i | 0.611003 | + | 0.0400473i | |||||
14.6269 | + | 19.0622i | 1.07539 | + | 1.40148i | |||||
−5.02768 | − | 2.90273i | −0.368647 | − | 0.212839i | |||||
2.77167 | − | 2.82655i | 0.202684 | − | 0.206697i | |||||
− | 20.9683i | − | 1.52927i | |||||||
2.63508 | − | 0.237359i | 0.191674 | − | 0.0172654i | |||||
−3.87935 | − | 2.59210i | −0.281437 | − | 0.188050i | |||||
0.174072 | − | 0.649645i | 0.0125954 | − | 0.0470066i | −0.959342 | − | 0.282246i | ||
0.971938 | + | 0.235239i | ||||||||
1.27258 | + | 0.431984i | 0.0918408 | + | 0.0311757i | |||||
−0.118027 | − | 1.80075i | −0.00849578 | − | 0.129621i | 0.991504 | − | 0.130075i | ||
−1.00000 | 0.000454761i | |||||||||
2.85929 | − | 0.970598i | 0.205285 | − | 0.0696849i | |||||
5.29087 | + | 12.7733i | 0.378887 | + | 0.914714i | |||||
−7.90888 | + | 8.72052i | −0.564920 | + | 0.622894i | |||||
−1.20363 | + | 6.05108i | −0.0857554 | + | 0.431122i | 0.913926 | + | 0.405881i | ||
−0.999681 | + | 0.0252407i | ||||||||
−0.239536 | + | 0.485731i | −0.0170231 | + | 0.0345194i | |||||
8.04185 | − | 23.6905i | 0.570072 | − | 1.67938i | −0.152685 | − | 0.988275i | ||
0.722757 | − | 0.691103i | ||||||||
0.915335 | + | 3.41608i | 0.0647240 | + | 0.241553i | |||||
0.381134 | − | 5.81498i | 0.0268831 | − | 0.410157i | |||||
1.56427 | − | 3.77647i | 0.110061 | − | 0.265712i | |||||
2.22230 | + | 4.24237i | 0.155975 | + | 0.297756i | |||||
6.88355 | + | 0.837678i | 0.481945 | + | 0.0586492i | |||||
7.18932 | + | 12.4523i | 0.502124 | + | 0.869705i | |||||
4.88955 | − | 3.75188i | 0.340671 | − | 0.261406i | |||||
3.58688 | − | 1.76885i | 0.249305 | − | 0.122944i | |||||
−11.3077 | − | 3.02990i | −0.784050 | − | 0.210085i | |||||
−0.598430 | − | 3.00851i | −0.0413943 | − | 0.208103i | |||||
−3.86265 | + | 0.0942069i | −0.266548 | + | 0.00650089i | |||||
−14.0629 | − | 2.79728i | −0.968130 | − | 0.192573i | −0.314391 | − | 0.949294i | ||
−0.653738 | + | 0.756721i | ||||||||
−0.245298 | − | 0.188223i | −0.0168471 | − | 0.0129272i | |||||
−0.573749 | + | 4.35806i | −0.0393127 | + | 0.298609i | |||||
−4.49487 | − | 3.94189i | −0.307263 | − | 0.269462i | |||||
−2.23593 | − | 1.10264i | −0.152489 | − | 0.0751993i | |||||
−2.03691 | + | 0.405166i | −0.138594 | + | 0.0275681i | |||||
20.0289 | − | 18.4480i | 1.35965 | − | 1.25233i | |||||
−0.912702 | + | 1.36595i | −0.0618160 | + | 0.0925141i | |||||
−1.27515 | − | 9.68573i | −0.0861667 | − | 0.654501i | |||||
−2.09032 | + | 3.62054i | −0.140929 | + | 0.244096i | |||||
−21.9841 | − | 1.22462i | −1.47881 | − | 0.0823770i | |||||
4.53357 | − | 2.61746i | 0.304273 | − | 0.175672i | |||||
−1.19419 | − | 0.494648i | −0.0799686 | − | 0.0331241i | 0.342341 | − | 0.939576i | ||
−0.422309 | + | 0.906452i | ||||||||
8.40314 | − | 11.5224i | 0.561458 | − | 0.769870i | |||||
1.20412 | + | 1.20412i | 0.0802750 | + | 0.0802750i | |||||
4.87266 | + | 5.55620i | 0.324124 | + | 0.369593i | |||||
0.0159556 | − | 0.00104578i | 0.00105901 | − | 6.94111e-5i | −0.0648736 | − | 0.997893i | ||
0.0659326 | + | 0.997824i | ||||||||
3.54275 | − | 4.03973i | 0.234624 | − | 0.267538i | |||||
−2.99180 | + | 3.89899i | −0.197704 | + | 0.257653i | −0.881676 | − | 0.471855i | ||
0.683972 | + | 0.729508i | ||||||||
−5.39593 | + | 2.23507i | −0.355797 | + | 0.147376i | |||||
−1.83950 | − | 1.75191i | −0.121030 | − | 0.115267i | |||||
−2.08857 | − | 3.12577i | −0.137122 | − | 0.205217i | |||||
11.6916 | − | 10.2533i | 0.765943 | − | 0.671714i | −0.184423 | − | 0.982847i | ||
0.950366 | + | 0.311133i | ||||||||
2.90961 | − | 0.779628i | 0.190207 | − | 0.0509658i | |||||
14.2764 | + | 28.9498i | 0.931293 | + | 1.88848i | |||||
19.4762 | − | 2.56409i | 1.26779 | − | 0.166908i | |||||
−14.5410 | −0.944538 | |||||||||
2.53131 | − | 5.60852i | 0.164081 | − | 0.363547i | |||||
−17.9141 | −1.15877 | −0.579384 | − | 0.815055i | ||||||
−0.579384 | + | 0.815055i | ||||||||
−5.62697 | + | 0.740805i | −0.363219 | + | 0.0478187i | |||||
−8.25636 | − | 16.7423i | −0.531839 | − | 1.07846i | −0.982585 | − | 0.185811i | ||
0.450746 | − | 0.892652i | ||||||||
−5.49110 | + | 1.47133i | −0.352981 | + | 0.0945810i | |||||
−0.751840 | + | 0.659346i | −0.0482305 | + | 0.0422971i | |||||
−9.75508 | − | 14.5995i | −0.624505 | − | 0.934638i | |||||
4.98191 | − | 17.4248i | 0.318283 | − | 1.11323i | |||||
2.89426 | − | 1.19884i | 0.184531 | − | 0.0764352i | |||||
−10.3860 | + | 13.5354i | −0.660848 | + | 0.861234i | |||||
−14.0933 | + | 16.0703i | −0.894926 | + | 1.02047i | |||||
15.8469 | − | 1.03866i | 1.00426 | − | 0.0658225i | |||||
3.17477 | + | 3.62013i | 0.200790 | + | 0.228957i | |||||
2.44973 | + | 2.44973i | 0.154625 | + | 0.154625i | 0.780180 | − | 0.625555i | ||
−0.625555 | + | 0.780180i | ||||||||
0.473064 | − | 4.42447i | 0.0298002 | − | 0.278715i | |||||
−3.54758 | − | 1.46945i | −0.223034 | − | 0.0923838i | |||||
−5.79423 | + | 3.34530i | −0.363562 | + | 0.209903i | |||||
−10.0741 | + | 3.53019i | −0.630863 | + | 0.221069i | |||||
−1.91034 | + | 3.30880i | −0.119396 | + | 0.206800i | |||||
−2.91195 | − | 22.1184i | −0.181642 | − | 1.37971i | −0.802905 | − | 0.596107i | ||
0.621263 | − | 0.783602i | ||||||||
−0.301766 | + | 0.451624i | −0.0187871 | + | 0.0281169i | |||||
5.37601 | + | 23.9583i | 0.334049 | + | 1.48870i | |||||
22.8056 | − | 4.53632i | 1.41434 | − | 0.281330i | |||||
−1.62347 | − | 0.800607i | −0.100490 | − | 0.0495563i | |||||
−4.26775 | − | 3.74272i | −0.263663 | − | 0.231226i | |||||
−0.344039 | + | 2.61323i | −0.0212143 | + | 0.161139i | −0.998773 | − | 0.0495250i | ||
0.977559 | + | 0.210664i | ||||||||
1.58196 | + | 1.21388i | 0.0973628 | + | 0.0747091i | |||||
0.466822 | + | 0.0928567i | 0.0286766 | + | 0.00570414i | |||||
−2.48393 | − | 4.06980i | −0.152300 | − | 0.249535i | |||||
−2.00604 | − | 10.0851i | −0.122768 | − | 0.617196i | |||||
−9.46680 | − | 2.53662i | −0.578277 | − | 0.154949i | |||||
5.22766 | − | 2.57800i | 0.318736 | − | 0.157183i | −0.275882 | − | 0.961191i | ||
0.594618 | + | 0.804008i | ||||||||
1.15860 | − | 0.889022i | 0.0705099 | − | 0.0541042i | |||||
−0.375161 | − | 0.649798i | −0.0227894 | − | 0.0394724i | 0.854406 | − | 0.519606i | ||
−0.877195 | + | 0.480134i | ||||||||
2.82132 | − | 8.58696i | 0.171067 | − | 0.520661i | |||||
−0.580043 | + | 14.1169i | −0.0351058 | + | 0.854393i | |||||
−0.975690 | + | 2.35552i | −0.0589436 | + | 0.142302i | |||||
0.106934 | − | 1.63150i | 0.00644836 | − | 0.0983830i | |||||
−1.74085 | − | 6.49695i | −0.104787 | − | 0.391071i | |||||
−2.80472 | + | 8.26244i | −0.168519 | + | 0.496442i | −0.998077 | − | 0.0619785i | ||
0.829558 | + | 0.558420i | ||||||||
−0.536292 | + | 1.08749i | −0.0321647 | + | 0.0652235i | |||||
−2.00788 | + | 10.0943i | −0.120209 | + | 0.604330i | |||||
−2.43431 | + | 14.0160i | −0.145478 | + | 0.837616i | |||||
9.95495 | + | 24.0334i | 0.593863 | + | 1.43371i | 0.879745 | + | 0.475447i | ||
−0.285882 | + | 0.958265i | ||||||||
6.65941 | − | 2.26057i | 0.396562 | − | 0.134615i | |||||
0.827228 | + | 12.6211i | 0.0491736 | + | 0.750244i | 0.949252 | + | 0.314516i | ||
−0.900079 | + | 0.435728i | ||||||||
7.00040 | + | 2.37632i | 0.415397 | + | 0.141008i | |||||
−2.14079 | + | 7.98953i | −0.126809 | + | 0.473259i | |||||
−2.40474 | − | 1.60680i | −0.142195 | − | 0.0950118i | |||||
1.31824 | + | 14.6346i | 0.0778131 | + | 0.863854i | |||||
5.39017i | 0.317619i | |||||||||
1.88811 | − | 16.8948i | 0.111065 | − | 0.993813i | |||||
2.28934 | + | 1.32175i | 0.134434 | + | 0.0776157i | |||||
−3.25876 | − | 4.24690i | −0.191032 | − | 0.248958i | |||||
−16.3951 | − | 1.07459i | −0.959449 | − | 0.0628856i | |||||
−15.4640 | + | 15.4640i | −0.903417 | + | 0.903417i | −0.995730 | − | 0.0923128i | ||
0.0923128 | + | 0.995730i | ||||||||
−3.62223 | − | 1.57167i | −0.211253 | − | 0.0916614i | |||||
−25.1439 | + | 16.8006i | −1.46394 | + | 0.978170i | |||||
−6.19543 | − | 18.2511i | −0.360102 | − | 1.06083i | |||||
0.951918 | + | 0.125322i | 0.0552359 | + | 0.00727194i | |||||
5.77448 | + | 0.760224i | 0.334506 | + | 0.0440386i | |||||
6.86501 | + | 20.2237i | 0.397014 | + | 1.16957i | |||||
2.38129 | − | 1.59113i | 0.137484 | − | 0.0918639i | |||||
−1.59975 | − | 1.98280i | −0.0922081 | − | 0.114287i | |||||
3.21888 | − | 3.21888i | 0.185226 | − | 0.185226i | |||||
−7.23112 | − | 0.473952i | −0.415417 | − | 0.0272279i | |||||
−4.26352 | − | 5.55633i | −0.244530 | − | 0.318678i | |||||
23.4085 | + | 13.5149i | 1.34037 | + | 0.773861i | |||||
0.476065 | + | 2.27648i | 0.0272148 | + | 0.130138i | |||||
− | 23.4740i | − | 1.33973i | −0.742483 | − | 0.669865i | ||||
0.742483 | − | 0.669865i | ||||||||
−3.49335 | + | 2.45946i | −0.199052 | + | 0.140141i | |||||
−9.08477 | − | 6.07025i | −0.516814 | − | 0.345324i | |||||
3.89013 | − | 14.5182i | 0.220945 | − | 0.824576i | |||||
32.5369 | + | 11.0448i | 1.84500 | + | 0.626293i | 0.995044 | + | 0.0994387i | ||
0.849956 | + | 0.526854i | ||||||||
−0.725358 | − | 11.0668i | −0.0410653 | − | 0.626535i | |||||
−11.6407 | + | 3.95148i | −0.657970 | + | 0.223351i | −0.630402 | − | 0.776269i | ||
−0.0275685 | + | 0.999620i | ||||||||
0.394929 | + | 0.953442i | 0.0222871 | + | 0.0538058i | |||||
2.35930 | + | 6.43070i | 0.132932 | + | 0.362329i | |||||
−4.77100 | + | 23.9855i | −0.268390 | + | 1.34929i | |||||
−5.70016 | + | 11.5588i | −0.320153 | + | 0.649205i | −0.996147 | − | 0.0877016i | ||
0.675994 | + | 0.736907i | ||||||||
0.0333334 | − | 0.0981971i | 0.00186925 | − | 0.00550662i | |||||
0.449822 | + | 1.67876i | 0.0251852 | + | 0.0939924i | |||||
−0.227561 | + | 3.47191i | −0.0127210 | + | 0.194086i | |||||
−4.05599 | + | 9.79203i | −0.226383 | + | 0.546538i | |||||
−5.96352 | − | 0.245033i | −0.332334 | − | 0.0136551i | |||||
−9.98833 | − | 8.58779i | −0.555766 | − | 0.477838i | |||||
0.840911 | + | 1.45650i | 0.0467173 | + | 0.0809167i | |||||
−7.21455 | + | 5.53592i | −0.400191 | + | 0.307078i | |||||
−2.44220 | + | 1.20436i | −0.135261 | + | 0.0667033i | |||||
2.81319 | + | 0.753792i | 0.155570 | + | 0.0416848i | |||||
−2.25019 | − | 11.3125i | −0.124246 | − | 0.624628i | |||||
0.804267 | + | 32.9764i | 0.0443407 | + | 1.81805i | |||||
−1.37521 | − | 0.273547i | −0.0757030 | − | 0.0150583i | |||||
11.5706 | + | 8.87842i | 0.635976 | + | 0.488002i | 0.875710 | − | 0.482837i | ||
−0.239734 | + | 0.970839i | ||||||||
3.48621 | − | 26.4804i | 0.191331 | − | 1.45330i | |||||
−6.97750 | − | 6.11911i | −0.382365 | − | 0.335325i | |||||
−1.23199 | − | 0.607551i | −0.0674116 | − | 0.0332437i | |||||
14.7974 | − | 2.94338i | 0.808466 | − | 0.160814i | |||||
−5.53597 | − | 1.72987i | −0.302012 | − | 0.0943721i | |||||
−7.62186 | + | 11.4069i | −0.415189 | + | 0.621374i | −0.978837 | − | 0.204641i | ||
0.563648 | + | 0.826015i | ||||||||
1.14250 | + | 8.67816i | 0.0621439 | + | 0.472029i | |||||
6.55071 | − | 11.3462i | 0.355786 | − | 0.616239i | |||||
2.51769 | + | 17.7755i | 0.136541 | + | 0.964014i | |||||
8.55783 | − | 4.94087i | 0.463433 | − | 0.267563i | |||||
1.66493 | + | 0.689637i | 0.0900292 | + | 0.0372913i | |||||
12.1036 | − | 14.0179i | 0.653535 | − | 0.756897i | |||||
1.41410 | + | 1.41410i | 0.0762429 | + | 0.0762429i | |||||
6.82700 | + | 7.78470i | 0.367553 | + | 0.419114i | |||||
−8.77646 | + | 0.575239i | −0.471825 | + | 0.0309251i | |||||
−6.94736 | + | 7.92194i | −0.372954 | + | 0.425272i | −0.907621 | − | 0.419790i | ||
0.534667 | + | 0.845063i | ||||||||
−1.85328 | + | 2.41524i | −0.0993462 | + | 0.129470i | |||||
17.9575 | − | 7.43826i | 0.961245 | − | 0.398161i | 0.153799 | − | 0.988102i | ||
0.807446 | + | 0.589941i | ||||||||
−0.717415 | − | 2.43802i | −0.0383474 | − | 0.130318i | |||||
−2.96685 | − | 4.44020i | −0.158359 | − | 0.237000i | |||||
3.89098 | − | 3.41229i | 0.207390 | − | 0.181876i | |||||
−10.8165 | + | 2.89827i | −0.575704 | + | 0.154259i | −0.534911 | − | 0.844908i | ||
−0.0407925 | + | 0.999168i | ||||||||
2.91404 | + | 5.90909i | 0.154880 | + | 0.314065i | |||||
−11.2830 | + | 1.48543i | −0.598839 | + | 0.0788386i | |||||
−17.2936 | −0.916558 | |||||||||
−10.8577 | − | 1.05337i | −0.574652 | − | 0.0557502i | |||||
2.80787 | 0.148400 | |||||||||
12.4910 | − | 1.64447i | 0.659249 | − | 0.0867918i | 0.206524 | − | 0.978442i | ||
0.452726 | + | 0.891650i | ||||||||
−2.37812 | − | 4.82236i | −0.125338 | − | 0.254160i | |||||
8.49350 | − | 2.27583i | 0.447026 | − | 0.119780i | |||||
0.863962 | − | 0.757674i | 0.0454088 | − | 0.0398225i | |||||
5.59912 | + | 8.37967i | 0.293878 | + | 0.439819i | |||||
23.0956 | + | 5.58864i | 1.21054 | + | 0.292924i | |||||
23.3674 | − | 9.67909i | 1.22310 | − | 0.506627i | |||||
3.58503 | − | 4.67211i | 0.187393 | − | 0.244215i | |||||
−5.60280 | + | 6.38877i | −0.292464 | + | 0.333491i | −0.879348 | − | 0.476180i | ||
0.586884 | + | 0.809671i | ||||||||
−8.74842 | + | 0.573402i | −0.456043 | + | 0.0298906i | |||||
−3.66185 | − | 4.17554i | −0.190628 | − | 0.217370i | |||||
9.58352 | + | 9.58352i | 0.498224 | + | 0.498224i | |||||
0.392994 | + | 0.286606i | 0.0204032 | + | 0.0148798i | |||||
15.9918 | + | 6.62403i | 0.829137 | + | 0.343440i | |||||
1.25769 | − | 0.726125i | 0.0651205 | − | 0.0375973i | −0.467086 | − | 0.884212i | ||
0.532207 | + | 0.846614i | ||||||||
1.34194 | − | 1.78480i | 0.0693899 | − | 0.0922899i | |||||
4.26810 | − | 7.39257i | 0.220404 | − | 0.381750i | |||||
−3.37970 | − | 25.6714i | −0.174295 | − | 1.32390i | |||||
5.37043 | − | 8.03741i | 0.276591 | − | 0.413948i | |||||
1.45618 | − | 0.326753i | 0.0748980 | − | 0.0168064i | |||||
14.6723 | − | 2.91851i | 0.753668 | − | 0.149914i | 0.196718 | − | 0.980460i | ||
0.556950 | + | 0.830546i | ||||||||
12.4764 | + | 6.15267i | 0.640025 | + | 0.315625i | |||||
8.91777 | + | 7.82067i | 0.456871 | + | 0.400665i | |||||
0.0495181 | − | 0.376127i | 0.00253357 | − | 0.0192444i | |||||
11.0945 | + | 8.51313i | 0.566904 | + | 0.435000i | 0.852033 | − | 0.523489i | ||
−0.285129 | + | 0.958489i | ||||||||
11.3167 | + | 2.25103i | 0.577502 | + | 0.114872i | |||||
3.14852 | − | 5.77411i | 0.160464 | − | 0.294276i | |||||
−0.198588 | − | 0.998371i | −0.0101079 | − | 0.0508157i | |||||
0.930122 | + | 0.249226i | 0.0472808 | + | 0.0126688i | |||||
−8.07452 | + | 3.98191i | −0.409922 | + | 0.202151i | |||||
4.74045 | − | 3.63747i | 0.240350 | − | 0.184427i | −0.481562 | − | 0.876412i | ||
0.721912 | + | 0.691985i | ||||||||
3.89935 | + | 6.75387i | 0.197451 | + | 0.341995i | |||||
−15.8851 | + | 4.42375i | −0.803346 | + | 0.223718i | |||||
−8.27721 | + | 11.9512i | −0.418062 | + | 0.603629i | |||||
−3.85105 | + | 9.29726i | −0.194260 | + | 0.468985i | |||||
−0.227610 | + | 3.47266i | −0.0114668 | + | 0.174950i | |||||
−9.74364 | − | 36.3637i | −0.490256 | − | 1.82966i | |||||
0.519051 | − | 1.52908i | 0.0260833 | − | 0.0768390i | |||||
−3.81627 | + | 7.73863i | −0.191533 | + | 0.388391i | −0.971363 | − | 0.237601i | ||
0.779830 | + | 0.625992i | ||||||||
2.75313 | − | 13.8409i | 0.138002 | − | 0.693783i | |||||
−5.41665 | + | 6.48908i | −0.271172 | + | 0.324860i | |||||
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−0.261306 | + | 0.965256i | ||||||||
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−52.0447 | − | 17.6668i | −2.59253 | − | 0.880046i | |||||
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1.55516 | + | 2.20891i | 0.0771815 | + | 0.109626i | |||||
8.91057i | 0.441681i | |||||||||
8.56251 | − | 0.0839357i | 0.423907 | − | 0.00415544i | |||||
21.2862 | + | 12.2896i | 1.05253 | + | 0.607681i | 0.923358 | − | 0.383941i | ||
0.129177 | + | 0.991622i | ||||||||
4.93742 | + | 6.43457i | 0.243842 | + | 0.317781i | |||||
4.51031 | + | 0.295622i | 0.222477 | + | 0.0145819i | |||||
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1.87571 | − | 1.25331i | 0.0921863 | − | 0.0615969i | |||||
13.2162 | + | 38.9336i | 0.648756 | + | 1.91117i | |||||
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2.13123 | + | 0.280581i | 0.104367 | + | 0.0137401i | |||||
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0.0642067 | + | 0.997937i | ||||||||
11.3816 | − | 1.78172i | 0.555365 | − | 0.0869392i | |||||
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0.408581 | + | 0.912722i | ||||||||
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2.47947i | 0.120131i | |||||||||
15.9016 | + | 22.5862i | 0.769531 | + | 1.09302i | |||||
14.8212 | + | 9.90322i | 0.716411 | + | 0.478690i | |||||
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0.900812 | − | 0.434208i | ||||||||
2.07584 | − | 0.704651i | 0.0998737 | − | 0.0339025i | |||||
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0.706846 | − | 0.707367i | ||||||||
9.84285 | − | 11.7916i | 0.472472 | − | 0.566015i | |||||
0.914282 | − | 4.59640i | 0.0438365 | − | 0.220381i | |||||
2.16641 | − | 4.39305i | 0.103752 | − | 0.210389i | |||||
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0.883317 | − | 13.4768i | 0.0421584 | − | 0.643213i | −0.923533 | − | 0.383520i | ||
0.965691 | − | 0.259693i | ||||||||
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3.22627 | + | 5.58807i | 0.153285 | + | 0.265497i | 0.932433 | − | 0.361342i | ||
−0.779148 | + | 0.626840i | ||||||||
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23.8763 | − | 11.7745i | 1.13184 | − | 0.558164i | |||||
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−0.751525 | + | 0.659705i | ||||||||
0.762057 | + | 0.584747i | 0.0359237 | + | 0.0275652i | |||||
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0.00884610 | − | 0.00175960i | 0.000415168 | − | 8.25821e-5i | |||||
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3.68623 | − | 5.51684i | 0.172624 | − | 0.258350i | |||||
2.28445 | + | 17.3521i | 0.106862 | + | 0.811696i | 0.958003 | + | 0.286759i | ||
−0.851141 | + | 0.524937i | ||||||||
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3.55033 | − | 2.09645i | 0.165715 | − | 0.0978541i | |||||
15.0809 | − | 8.70697i | 0.703151 | − | 0.405965i | |||||
29.5926 | + | 12.2577i | 1.37827 | + | 0.570896i | 0.944017 | − | 0.329897i | ||
0.434248 | + | 0.900793i | ||||||||
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−0.906418 | + | 0.422383i | ||||||||
2.61638 | + | 2.98341i | 0.121463 | + | 0.138502i | |||||
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5.78358 | − | 6.59491i | 0.267919 | − | 0.305503i | |||||
11.2185 | − | 14.6202i | 0.519128 | − | 0.676541i | −0.458059 | − | 0.888922i | ||
0.977187 | + | 0.212381i | ||||||||
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14.9855 | + | 3.62618i | 0.691967 | + | 0.167441i | |||||
10.1155 | + | 15.1389i | 0.466594 | + | 0.698307i | |||||
1.37553 | − | 1.20631i | 0.0633810 | − | 0.0555837i | |||||
23.4313 | − | 6.27840i | 1.07851 | − | 0.288987i | |||||
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−5.44043 | −0.249624 | |||||||||
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−0.183843 | −0.00841758 | |||||||||
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5.35277 | + | 10.8543i | 0.244574 | + | 0.495947i | 0.984198 | − | 0.177074i | ||
−0.739623 | + | 0.673021i | ||||||||
−13.4796 | + | 3.61185i | −0.615257 | + | 0.164858i | |||||
37.2612 | − | 32.6772i | 1.69896 | − | 1.48995i | |||||
−5.85001 | − | 8.75516i | −0.266461 | − | 0.398786i | |||||
2.98700 | + | 10.1508i | 0.135913 | + | 0.461879i | |||||
15.6594 | − | 6.48635i | 0.711793 | − | 0.294834i | |||||
8.43692 | − | 10.9952i | 0.383101 | − | 0.499267i | |||||
−0.371918 | + | 0.424092i | −0.0168706 | + | 0.0192372i | |||||
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0.00750215 | + | 0.999972i | ||||||||
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3.41351 | + | 3.41351i | 0.154364 | + | 0.154364i | |||||
1.50320 | − | 10.1115i | 0.0679075 | − | 0.456792i | |||||
−13.3348 | − | 5.52347i | −0.601793 | − | 0.249271i | 0.0609223 | − | 0.998143i | ||
−0.662715 | + | 0.748872i | ||||||||
−8.08906 | + | 4.67022i | −0.364683 | + | 0.210550i | |||||
5.96538 | + | 4.48518i | 0.268667 | + | 0.202002i | |||||
−4.81180 | + | 8.33428i | −0.216493 | + | 0.374977i | |||||
0.324459 | + | 2.46451i | 0.0145833 | + | 0.110771i | |||||
12.5348 | − | 18.7596i | 0.562828 | − | 0.842331i | |||||
−11.1005 | − | 3.46867i | −0.497926 | − | 0.155591i | |||||
8.78585 | − | 1.74761i | 0.393703 | − | 0.0783125i | |||||
9.38784 | + | 4.62957i | 0.420257 | + | 0.207248i | 0.640107 | − | 0.768286i | ||
−0.219850 | + | 0.975534i | ||||||||
−10.7937 | − | 9.46582i | −0.482709 | − | 0.423324i | |||||
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1.55036 | + | 1.18964i | 0.0691961 | + | 0.0530961i | |||||
−17.5791 | − | 3.49670i | −0.783813 | − | 0.155910i | −0.213068 | − | 0.977037i | ||
−0.570745 | + | 0.821127i | ||||||||
−0.133972 | − | 5.49310i | −0.00596759 | − | 0.244682i | |||||
−3.66018 | − | 18.4010i | −0.162876 | − | 0.818833i | |||||
−2.09216 | − | 0.560593i | −0.0930079 | − | 0.0249214i | |||||
13.9173 | − | 6.86326i | 0.618089 | − | 0.304808i | |||||
15.8262 | − | 12.1439i | 0.702176 | − | 0.538798i | |||||
−17.2110 | − | 29.8103i | −0.762864 | − | 1.32132i | −0.941368 | − | 0.337381i | ||
0.178504 | − | 0.983939i | ||||||||
−5.37397 | + | 2.71596i | −0.237963 | + | 0.120265i | |||||
25.8254 | + | 1.06113i | 1.14245 | + | 0.0469415i | |||||
8.00637 | − | 19.3291i | 0.353835 | − | 0.854233i | |||||
0.208951 | − | 3.18798i | 0.00922543 | − | 0.140753i | |||||
−3.25699 | − | 12.1553i | −0.143660 | − | 0.536145i | |||||
9.09280 | − | 26.7865i | 0.400677 | − | 1.18036i | |||||
0.716279 | − | 1.45247i | 0.0315324 | − | 0.0639415i | |||||
−2.33534 | + | 11.7405i | −0.102708 | + | 0.516348i | |||||
4.77048 | + | 13.0028i | 0.209603 | + | 0.571310i | |||||
5.96699 | + | 14.4056i | 0.261922 | + | 0.632335i | |||||
27.1896 | − | 9.22962i | 1.19234 | − | 0.404746i | |||||
2.62269 | + | 40.0145i | 0.114902 | + | 1.75307i | 0.534329 | + | 0.845277i | ||
−0.419427 | + | 0.907789i | ||||||||
−0.966865 | − | 0.328206i | −0.0423185 | − | 0.0143652i | |||||
11.5346 | − | 43.0478i | 0.504374 | − | 1.88235i | 0.0349270 | − | 0.999390i | ||
0.469447 | − | 0.882960i | ||||||||
14.0723 | + | 9.40283i | 0.614753 | + | 0.410765i | |||||
−3.68398 | + | 2.59367i | −0.160782 | + | 0.113197i | |||||
1.48677i | 0.0648263i | |||||||||
15.8542 | − | 39.3624i | 0.690619 | − | 1.71465i | |||||
−1.82279 | − | 1.05239i | −0.0793267 | − | 0.0457993i | |||||
−4.26466 | − | 5.55781i | −0.185420 | − | 0.241644i | |||||
0.267905 | + | 0.0175594i | 0.0116371 | + | 0.000762733i | |||||
8.25925 | − | 8.25925i | 0.358421 | − | 0.358421i | |||||
8.92654 | + | 11.0639i | 0.387014 | + | 0.479682i | |||||
24.6598 | − | 16.4772i | 1.06814 | − | 0.713705i | |||||
−1.86440 | − | 5.49234i | −0.0806803 | − | 0.237677i | |||||
−27.2055 | − | 3.58167i | −1.17620 | − | 0.154849i | |||||
−11.9990 | − | 1.57970i | −0.518278 | − | 0.0682326i | |||||
−1.60008 | − | 4.71368i | −0.0690485 | − | 0.203410i | |||||
2.73374 | − | 1.82663i | 0.117860 | − | 0.0787515i | |||||
5.39957 | − | 4.00193i | 0.232576 | − | 0.172375i | |||||
−3.07890 | + | 3.07890i | −0.132495 | + | 0.132495i | |||||
−1.19994 | − | 0.0786481i | −0.0515894 | − | 0.00338135i | 0.0395866 | − | 0.999216i | ||
−0.0911760 | + | 0.995835i | ||||||||
−0.257649 | − | 0.335775i | −0.0110670 | − | 0.0144228i | |||||
−1.76427 | − | 1.01860i | −0.0757121 | − | 0.0437124i | |||||
4.12186 | − | 21.8387i | 0.176723 | − | 0.936325i | |||||
7.54026i | 0.322989i | |||||||||
0.714986 | + | 7.93753i | 0.0305986 | + | 0.339695i | |||||
−7.65371 | − | 5.11404i | −0.327249 | − | 0.218661i | 0.381082 | − | 0.924541i | ||
−0.708331 | + | 0.705880i | ||||||||
1.96750 | − | 7.34280i | 0.0840473 | − | 0.313669i | |||||
−9.88621 | − | 3.35591i | −0.421933 | − | 0.143227i | |||||
−0.0603185 | − | 0.920282i | −0.00257199 | − | 0.0392410i | |||||
5.47618 | − | 1.85891i | 0.233293 | − | 0.0791924i | |||||
−3.17850 | − | 7.67359i | −0.135286 | − | 0.326610i | |||||
6.58326 | − | 37.9044i | 0.279949 | − | 1.61186i | |||||
−0.960197 | + | 4.82724i | −0.0407949 | + | 0.205090i | |||||
10.6270 | − | 21.5495i | 0.451092 | − | 0.914724i | |||||
1.16209 | − | 3.42341i | 0.0492837 | − | 0.145185i | |||||
−10.9699 | − | 40.9403i | −0.464811 | − | 1.73470i | −0.657516 | − | 0.753441i | ||
0.192705 | − | 0.981257i | ||||||||
−0.379695 | + | 5.79303i | −0.0160738 | + | 0.245239i | |||||
−1.96785 | + | 4.75081i | −0.0832313 | + | 0.200938i | |||||
0.616467 | − | 15.0034i | 0.0260505 | − | 0.634008i | |||||
−3.76093 | − | 1.23568i | −0.158787 | − | 0.0521706i | |||||
7.33676 | + | 12.7076i | 0.309482 | + | 0.536039i | |||||
11.3329 | − | 8.69605i | 0.477625 | − | 0.366495i | −0.341714 | − | 0.939804i | ||
0.819339 | + | 0.573309i | ||||||||
−18.8059 | + | 9.27405i | −0.791872 | + | 0.390508i | |||||
32.7637 | + | 8.77901i | 1.37838 | + | 0.369336i | |||||
1.39186 | + | 6.99737i | 0.0585044 | + | 0.294121i | |||||
−1.37835 | − | 2.25835i | −0.0578852 | − | 0.0948419i | |||||
8.95356 | + | 1.78097i | 0.375683 | + | 0.0747280i | |||||
−8.14411 | − | 6.24920i | −0.341419 | − | 0.261980i | 0.423792 | − | 0.905759i | ||
−0.765211 | + | 0.643780i | ||||||||
−0.608990 | + | 4.62573i | −0.0255078 | + | 0.193751i | |||||
−0.951907 | − | 0.834800i | −0.0398361 | − | 0.0349353i | 0.639196 | − | 0.769044i | ||
−0.679032 | + | 0.734108i | ||||||||
7.73390 | + | 3.81394i | 0.323370 | + | 0.159469i | |||||
−0.659638 | + | 0.131210i | −0.0275568 | + | 0.00548139i | |||||
1.81471 | + | 8.08730i | 0.0757445 | + | 0.337557i | |||||
−3.78365 | + | 5.66263i | −0.157789 | + | 0.236148i | |||||
−0.175415 | − | 1.33241i | −0.00730894 | − | 0.0555169i | |||||
−1.52690 | + | 2.64466i | −0.0635655 | + | 0.110099i | −0.896057 | − | 0.443939i | ||
0.832491 | + | 0.554038i | ||||||||
−0.187983 | − | 9.58738i | −0.00781904 | − | 0.398782i | |||||
−1.56284 | + | 0.902305i | −0.0649493 | + | 0.0374985i | |||||
−7.28182 | − | 3.01623i | −0.302361 | − | 0.125242i | |||||
−4.46699 | + | 41.7788i | −0.185322 | + | 1.73328i | |||||
−2.13513 | − | 2.13513i | −0.0885042 | − | 0.0885042i | |||||
0.116383 | + | 0.132710i | 0.00482010 | + | 0.00549627i | |||||
−20.2456 | + | 1.32697i | −0.837768 | + | 0.0549102i | |||||
9.11592 | − | 10.3947i | 0.376897 | − | 0.429769i | |||||
−7.50964 | + | 9.78675i | −0.310220 | + | 0.404287i | |||||
−16.2163 | + | 6.71703i | −0.669320 | + | 0.277242i | −0.691355 | − | 0.722516i | ||
0.0220343 | + | 0.999757i | ||||||||
11.3192 | + | 3.23627i | 0.466796 | + | 0.133462i | |||||
−18.2679 | − | 27.3398i | −0.752714 | − | 1.12652i | |||||
−12.8247 | + | 11.2469i | −0.527983 | + | 0.463029i | |||||
5.95940 | − | 1.59682i | 0.245137 | − | 0.0656843i | |||||
8.99820 | + | 18.2465i | 0.369824 | + | 0.749928i | |||||
16.3231 | − | 2.14898i | 0.670311 | − | 0.0882481i | 0.212314 | − | 0.977202i | ||
0.457998 | + | 0.888953i | ||||||||
0.541583 | 0.0222214 | |||||||||
−4.64132 | − | 27.8586i | −0.190276 | − | 1.14209i | |||||
−17.3656 | −0.711323 | |||||||||
−24.8042 | + | 3.26554i | −1.01517 | + | 0.133650i | |||||
5.32822 | + | 10.8046i | 0.217887 | + | 0.441832i | |||||
42.9228 | − | 11.5011i | 1.75378 | − | 0.469923i | 0.768351 | − | 0.640029i | ||
0.985426 | + | 0.170105i | ||||||||
2.65894 | − | 2.33183i | 0.108551 | − | 0.0951966i | |||||
3.24051 | + | 4.84976i | 0.132183 | + | 0.197826i | 0.891657 | − | 0.452712i | ||
−0.759474 | + | 0.650538i | ||||||||
−1.04064 | − | 0.991088i | −0.0424133 | − | 0.0403937i | |||||
−5.38387 | + | 2.23007i | −0.219248 | + | 0.0908156i | |||||
−8.26252 | + | 10.7679i | −0.336197 | + | 0.438140i | |||||
−17.2038 | + | 19.6172i | −0.699435 | + | 0.797553i | |||||
−4.07887 | + | 0.267343i | −0.165693 | + | 0.0108601i | |||||
29.4639 | + | 33.5971i | 1.19590 | + | 1.36366i | 0.914759 | + | 0.403999i | ||
0.281143 | + | 0.959666i | ||||||||
−12.1768 | − | 12.1768i | −0.493835 | − | 0.493835i | |||||
2.82197 | − | 3.86948i | 0.114352 | − | 0.156799i | |||||
14.0862 | + | 5.83468i | 0.570332 | + | 0.236239i | |||||
57.6594 | − | 33.2897i | 2.33265 | − | 1.34676i | |||||
−2.29323 | − | 6.54416i | −0.0926982 | − | 0.264532i | |||||
−15.8887 | + | 27.5200i | −0.641738 | + | 1.11152i | 0.343306 | + | 0.939224i | ||
−0.985045 | + | 0.172300i | ||||||||
−1.72830 | − | 13.1277i | −0.0697485 | − | 0.529792i | |||||
7.98835 | − | 11.9554i | 0.322121 | − | 0.482089i | |||||
−3.88046 | + | 3.57416i | −0.156348 | + | 0.144007i | |||||
−28.4985 | + | 5.66871i | −1.14731 | + | 0.228214i | −0.731894 | − | 0.681419i | ||
−0.415414 | + | 0.909632i | ||||||||
−5.52755 | − | 2.72589i | −0.222351 | − | 0.109651i | |||||
12.6375 | + | 11.0828i | 0.507944 | + | 0.445455i | 0.874560 | − | 0.484918i | ||
−0.366616 | + | 0.930372i | ||||||||
−5.84940 | + | 44.4306i | −0.234918 | + | 1.78438i | |||||
−3.17287 | − | 2.43463i | −0.127323 | − | 0.0976983i | |||||
19.0093 | + | 3.78119i | 0.762205 | + | 0.151612i | |||||
27.1972 | − | 0.663318i | 1.08963 | − | 0.0265753i | |||||
2.28385 | + | 11.4817i | 0.0914271 | + | 0.459635i | |||||
29.5714 | + | 7.92365i | 1.18286 | + | 0.316946i | |||||
−6.21907 | + | 3.06691i | −0.248564 | + | 0.122578i | |||||
−2.43357 | + | 1.86735i | −0.0971875 | + | 0.0745746i | |||||
−1.53849 | − | 2.66474i | −0.0613924 | − | 0.106335i | |||||
23.5906 | + | 30.1277i | 0.940618 | + | 1.20127i | |||||
1.79290 | + | 3.42264i | 0.0714308 | + | 0.136361i | |||||
−10.8204 | + | 26.1228i | −0.430755 | + | 1.03993i | 0.548290 | + | 0.836288i | ||
−0.979045 | + | 0.203646i | ||||||||
−1.97510 | + | 30.1342i | −0.0785654 | + | 1.19868i | |||||
3.71105 | + | 13.8498i | 0.147501 | + | 0.550482i | |||||
−2.33676 | + | 6.88388i | −0.0928047 | + | 0.273394i | |||||
−13.5821 | + | 27.5418i | −0.538990 | + | 1.09296i | |||||
−0.0603201 | + | 0.303250i | −0.00239185 | + | 0.0120246i | |||||
−36.5363 | − | 7.90327i | −1.44762 | − | 0.313139i | |||||
0.375162 | + | 0.905720i | 0.0148528 | + | 0.0358578i | |||||
4.16239 | − | 1.41294i | 0.164662 | − | 0.0558951i | |||||
1.95378 | + | 29.8089i | 0.0772298 | + | 1.17830i | |||||
−31.5986 | − | 10.7263i | −1.24807 | − | 0.423662i | −0.382268 | − | 0.924052i | ||
−0.865800 | + | 0.500390i | ||||||||
−1.54735 | + | 5.77478i | −0.0610690 | + | 0.227912i | |||||
−39.8908 | − | 26.6542i | −1.57314 | − | 1.05114i | −0.966668 | − | 0.256032i | ||
−0.606470 | − | 0.795106i | ||||||||
17.7239 | − | 1.59651i | 0.698421 | − | 0.0629114i | |||||
2.49303i | 0.0981629i | |||||||||
−6.21823 | − | 4.06729i | −0.244653 | − | 0.160025i | |||||
−22.2303 | − | 12.8347i | −0.873963 | − | 0.504583i | −0.00529975 | − | 0.999986i | ||
−0.868663 | + | 0.495403i | ||||||||
1.26428 | + | 1.64765i | 0.0496658 | + | 0.0647257i | |||||
−11.1907 | − | 0.733474i | −0.439272 | − | 0.0287914i | |||||
−3.62712 | + | 3.62712i | −0.142267 | + | 0.142267i | |||||
−25.4040 | − | 9.80407i | −0.995663 | − | 0.384252i | |||||
6.75060 | − | 4.51061i | 0.264374 | − | 0.176649i | |||||
5.79848 | + | 17.0818i | 0.226912 | + | 0.668462i | 0.999439 | + | 0.0334801i | ||
−0.772527 | + | 0.634982i | ||||||||
1.62877 | + | 0.214431i | 0.0636898 | + | 0.00838492i | |||||
−25.8309 | − | 3.40070i | −1.00930 | − | 0.132876i | |||||
3.91346 | + | 11.5287i | 0.152795 | + | 0.450120i | |||||
−8.12288 | + | 5.42754i | −0.316904 | + | 0.211748i | |||||
2.87771 | + | 18.3827i | 0.112185 | + | 0.716633i | |||||
−12.5511 | + | 12.5511i | −0.488923 | + | 0.488923i | −0.907966 | − | 0.419043i | ||
0.419043 | + | 0.907966i | ||||||||
4.17168 | + | 0.273427i | 0.162383 | + | 0.0106431i | |||||
−11.7357 | − | 15.2943i | −0.456467 | − | 0.594879i | 0.507252 | − | 0.861798i | ||
−0.963719 | + | 0.266918i | ||||||||
7.12449 | + | 4.11332i | 0.276901 | + | 0.159869i | |||||
8.62498 | + | 20.2586i | 0.334966 | + | 0.786777i | |||||
− | 32.9817i | − | 1.27994i | |||||||
−19.8573 | − | 9.19762i | −0.770034 | − | 0.356668i | |||||
−4.35267 | − | 2.90836i | −0.168662 | − | 0.112697i | |||||
1.87368 | − | 6.99267i | 0.0725491 | − | 0.270757i | |||||
3.87829 | + | 1.31650i | 0.150056 | + | 0.0509370i | |||||
0.0845386 | + | 1.28981i | 0.00326845 | + | 0.0498669i | |||||
8.05866 | − | 2.73555i | 0.311333 | − | 0.105683i | |||||
3.83603 | + | 9.26100i | 0.148088 | + | 0.357517i | |||||
−14.0507 | − | 2.44033i | −0.542018 | − | 0.0941380i | |||||
3.82921 | − | 19.2507i | 0.147605 | − | 0.742061i | −0.834094 | − | 0.551622i | ||
0.981699 | − | 0.190439i | ||||||||
−3.42265 | + | 6.94044i | −0.131835 | + | 0.267336i | |||||
0.547376 | − | 1.61252i | 0.0210685 | − | 0.0620658i | |||||
−6.75462 | − | 25.2086i | −0.259793 | − | 0.969561i | |||||
0.793971 | − | 12.1137i | 0.0305148 | − | 0.465566i | −0.955070 | − | 0.296381i | ||
0.985584 | − | 0.169184i | ||||||||
2.82808 | − | 6.82760i | 0.108612 | − | 0.262212i | |||||
12.5459 | − | 6.57198i | 0.481467 | − | 0.252209i | |||||
5.94748 | + | 21.3567i | 0.228075 | + | 0.818991i | |||||
−0.00799491 | − | 0.0138476i | −0.000306366 | − | 0.000530641i | |||||
4.42216 | − | 3.39324i | 0.169333 | − | 0.129934i | |||||
5.41443 | − | 2.67010i | 0.207178 | − | 0.102169i | −0.335740 | − | 0.941955i | ||
0.542917 | + | 0.839786i | ||||||||
−5.19004 | − | 1.39067i | −0.198446 | − | 0.0531735i | |||||
2.28299 | + | 11.4774i | 0.0872286 | + | 0.438528i | |||||
5.73683 | − | 8.73061i | 0.219033 | − | 0.333336i | |||||
4.82014 | + | 0.958786i | 0.183900 | + | 0.0365800i | |||||
−1.67470 | − | 1.28505i | −0.0638475 | − | 0.0489919i | |||||
0.128145 | − | 0.973355i | 0.00488192 | − | 0.0370819i | |||||
4.39113 | + | 3.85092i | 0.167168 | + | 0.146602i | |||||
−24.9597 | − | 12.3088i | −0.949511 | − | 0.468247i | −0.0995149 | − | 0.995036i | ||
−0.849996 | + | 0.526789i | ||||||||
25.7199 | − | 5.11601i | 0.977725 | − | 0.194482i | |||||
−0.757651 | + | 2.42465i | −0.0287808 | + | 0.0921049i | |||||
−3.30202 | + | 4.94182i | −0.125343 | + | 0.187589i | |||||
0.726424 | + | 5.51773i | 0.0275548 | + | 0.209300i | |||||
−1.87967 | + | 3.25568i | −0.0712486 | + | 0.123406i | |||||
11.6432 | + | 19.7177i | 0.441018 | + | 0.746861i | |||||
9.49504 | − | 5.48196i | 0.359392 | − | 0.207495i | |||||
−14.3669 | − | 5.95098i | −0.543408 | − | 0.225087i | |||||
3.06954 | + | 6.92775i | 0.116018 | + | 0.261844i | |||||
1.41724 | + | 1.41724i | 0.0535283 | + | 0.0535283i | 0.733364 | − | 0.679836i | ||
−0.679836 | + | 0.733364i | ||||||||
−1.98611 | − | 2.26473i | −0.0749610 | − | 0.0854767i | |||||
29.5863 | − | 1.93919i | 1.11587 | − | 0.0731379i | |||||
−0.850770 | + | 0.970118i | −0.0320646 | + | 0.0365627i | |||||
19.6500 | − | 25.6083i | 0.740060 | − | 0.964465i | |||||
−5.83569 | + | 2.41722i | −0.219629 | + | 0.0909734i | |||||
4.50927 | − | 18.6350i | 0.169588 | − | 0.700840i | |||||
−10.9138 | − | 16.3336i | −0.410164 | − | 0.613855i | |||||
−7.69108 | + | 6.74490i | −0.288845 | + | 0.253310i | −0.791489 | − | 0.611183i | ||
0.502644 | + | 0.864493i | ||||||||
−6.20060 | + | 1.66145i | −0.232704 | + | 0.0623530i | |||||
6.43131 | + | 13.0414i | 0.241193 | + | 0.489091i | |||||
−21.1724 | + | 2.78740i | −0.793470 | + | 0.104462i | |||||
−41.1612 | −1.54150 | |||||||||
−6.14970 | + | 0.210320i | −0.230147 | + | 0.00787104i | |||||
−13.2745 | −0.496438 | |||||||||
−8.30024 | + | 1.09275i | −0.310195 | + | 0.0408379i | |||||
7.92321 | + | 16.0667i | 0.295898 | + | 0.600021i | |||||
6.86446 | − | 1.83933i | 0.256179 | − | 0.0686431i | |||||
−1.41456 | + | 1.24054i | −0.0527542 | + | 0.0462642i | −0.685317 | − | 0.728245i | ||
0.632563 | + | 0.774509i | ||||||||
3.15315 | + | 4.71903i | 0.117511 | + | 0.175868i | |||||
19.9365 | − | 20.9333i | 0.742474 | − | 0.779596i | |||||
4.58240 | − | 1.89809i | 0.170539 | − | 0.0706396i | |||||
−11.3640 | + | 14.8098i | −0.422631 | + | 0.550783i | |||||
−2.25906 | + | 2.57597i | −0.0839574 | + | 0.0957350i | |||||
3.07588 | − | 0.201604i | 0.114235 | − | 0.00748737i | |||||
3.74825 | + | 4.27406i | 0.139111 | + | 0.158625i | |||||
27.5414 | + | 27.5414i | 1.02145 | + | 1.02145i | 0.999765 | + | 0.0216897i | ||
0.0216897 | + | 0.999765i | ||||||||
29.1766 | + | 3.11956i | 1.08136 | + | 0.115619i | |||||
0.923880 | + | 0.382683i | 0.0342178 | + | 0.0141735i | |||||
12.3555 | − | 7.13344i | 0.457297 | − | 0.264021i | |||||
−3.57787 | − | 1.72102i | −0.132332 | − | 0.0636542i | |||||
−8.77934 | + | 15.2063i | −0.324494 | + | 0.562040i | |||||
3.14145 | + | 23.8617i | 0.116032 | + | 0.881351i | 0.946142 | + | 0.323751i | ||
−0.830110 | + | 0.557599i | ||||||||
−2.66297 | + | 3.98541i | −0.0982919 | + | 0.147104i | |||||
−17.8312 | + | 3.23863i | −0.657715 | + | 0.119459i | |||||
−21.1428 | + | 4.20556i | −0.779333 | + | 0.155019i | |||||
5.01812 | + | 2.47466i | 0.184845 | + | 0.0911554i | |||||
−2.35530 | − | 2.06555i | −0.0866999 | − | 0.0760338i | |||||
4.74342 | − | 36.0299i | 0.174490 | − | 1.32538i | −0.650186 | − | 0.759775i | ||
0.824676 | − | 0.565605i | ||||||||
−32.0592 | − | 24.5999i | −1.17852 | − | 0.904310i | |||||
16.7331 | + | 3.32842i | 0.614707 | + | 0.122273i | |||||
0.240882 | + | 0.131349i | 0.00884305 | + | 0.00482196i | |||||
−5.31459 | − | 26.7183i | −0.194973 | − | 0.980198i | −0.947041 | − | 0.321112i | ||
0.752068 | − | 0.659086i | ||||||||
20.6464 | + | 5.53218i | 0.756932 | + | 0.202819i | |||||
23.9757 | − | 11.8235i | 0.878402 | − | 0.433180i | |||||
0.649894 | − | 0.498681i | 0.0237943 | − | 0.0182580i | |||||
−7.94046 | − | 13.7533i | −0.290526 | − | 0.503206i | |||||
−3.27226 | + | 5.79824i | −0.119646 | + | 0.212005i | |||||
−23.6888 | − | 15.0061i | −0.865572 | − | 0.548310i | |||||
1.84263 | − | 4.44851i | 0.0672834 | − | 0.162437i | |||||
−2.90976 | + | 44.3944i | −0.106179 | + | 1.61997i | 0.529701 | + | 0.848185i | ||
−0.635879 | + | 0.771788i | ||||||||
7.07383 | + | 26.3999i | 0.257956 | + | 0.962705i | |||||
1.11361 | − | 3.28058i | 0.0405821 | − | 0.119551i | |||||
2.41163 | − | 4.89030i | 0.0878263 | − | 0.178094i | |||||
4.07616 | − | 20.4923i | 0.148347 | − | 0.745790i | |||||
−4.17741 | + | 1.53261i | −0.151931 | + | 0.0557406i | |||||
13.7761 | + | 33.2584i | 0.500700 | + | 1.20880i | 0.949103 | + | 0.314965i | ||
−0.448403 | + | 0.893831i | ||||||||
7.99058 | − | 2.71243i | 0.290231 | − | 0.0985201i | |||||
0.251140 | + | 3.83165i | 0.00911579 | + | 0.139080i | |||||
16.2665 | + | 5.52172i | 0.590046 | + | 0.200294i | |||||
−3.56257 | + | 13.2957i | −0.129143 | + | 0.481968i | −0.999953 | − | 0.00965066i | ||
0.870810 | + | 0.491619i | ||||||||
5.56303 | + | 3.71710i | 0.201527 | + | 0.134656i | |||||
−3.23857 | + | 6.99195i | −0.117244 | + | 0.253126i | |||||
1.13113i | 0.0409228i | |||||||||
7.62178 | + | 7.47380i | 0.275566 | + | 0.270216i | |||||
6.83136 | + | 3.94409i | 0.246827 | + | 0.142506i | |||||
37.9716 | + | 49.4856i | 1.37108 | + | 1.78682i | |||||
3.81250 | + | 0.249884i | 0.137572 | + | 0.00901692i | |||||
−10.9451 | + | 10.9451i | −0.394691 | + | 0.394691i | −0.876356 | − | 0.481665i | ||
0.481665 | + | 0.876356i | ||||||||
1.33567 | − | 3.46096i | 0.0481344 | − | 0.124724i | |||||
−18.5495 | + | 12.3944i | −0.668044 | + | 0.446372i | |||||
0.975580 | + | 2.87397i | 0.0351119 | + | 0.103436i | |||||
−31.2636 | − | 4.11593i | −1.12447 | − | 0.148040i | −0.454727 | − | 0.890631i | ||
−0.669745 | + | 0.742591i | ||||||||
0.538517 | + | 0.0708971i | 0.0193566 | + | 0.00254834i | |||||
−5.63362 | − | 16.5961i | −0.202366 | − | 0.596150i | |||||
−9.24378 | + | 6.17650i | −0.331832 | + | 0.221723i | |||||
19.1098 | − | 15.4181i | 0.685561 | − | 0.553121i | |||||
2.38327 | − | 2.38327i | 0.0854442 | − | 0.0854442i | |||||
17.7053 | + | 1.16047i | 0.634357 | + | 0.0415780i | |||||
−14.1552 | − | 18.4474i | −0.506836 | − | 0.660522i | |||||
−3.65499 | − | 2.11021i | −0.130786 | − | 0.0755092i | |||||
−8.55800 | + | 3.64352i | −0.306033 | + | 0.130292i | |||||
1.81014i | 0.0646893i | |||||||||
7.01564 | − | 13.6476i | 0.250559 | − | 0.487414i | |||||
3.93842 | + | 2.63157i | 0.140568 | + | 0.0939246i | |||||
−1.46916 | + | 5.48299i | −0.0524033 | + | 0.195572i | |||||
−41.8475 | − | 14.2053i | −1.49170 | − | 0.506365i | −0.547806 | − | 0.836606i | ||
−0.943897 | + | 0.330241i | ||||||||
−0.678637 | − | 10.3540i | −0.0241755 | − | 0.368846i | |||||
2.49590 | − | 0.847245i | 0.0888565 | − | 0.0301627i | |||||
−8.12641 | − | 19.6189i | −0.289125 | − | 0.698009i | |||||
26.6106 | + | 22.2127i | 0.946164 | + | 0.789794i | |||||
0.389013 | − | 1.95570i | 0.0138230 | − | 0.0694928i | |||||
24.6589 | − | 50.0033i | 0.875664 | − | 1.77567i | |||||
−1.56447 | + | 4.60878i | −0.0555209 | + | 0.163559i | |||||
−0.123189 | − | 0.459749i | −0.00436908 | − | 0.0163056i | |||||
−2.75192 | + | 41.9862i | −0.0975392 | + | 1.48816i | |||||
15.5493 | − | 37.5393i | 0.550784 | − | 1.32971i | −0.366107 | − | 0.930573i | ||
0.916891 | − | 0.399138i | ||||||||
−2.55147 | + | 4.02780i | −0.0903212 | + | 0.142583i | |||||
23.1868 | + | 45.8789i | 0.820290 | + | 1.62308i | |||||
−4.58943 | − | 7.94913i | −0.162261 | − | 0.281044i | |||||
−8.15777 | + | 6.25968i | −0.288241 | + | 0.221175i | |||||
−11.2999 | + | 5.57251i | −0.399014 | + | 0.196772i | |||||
9.06021 | + | 2.42768i | 0.319728 | + | 0.0856708i | |||||
1.91203 | + | 9.61244i | 0.0674322 | + | 0.339005i | |||||
−23.3834 | + | 14.2717i | −0.824158 | + | 0.503011i | |||||
−30.4066 | − | 6.04824i | −1.07103 | − | 0.213040i | |||||
−4.62427 | − | 3.54832i | −0.162782 | − | 0.124907i | |||||
−1.96441 | + | 14.9211i | −0.0691076 | + | 0.524924i | |||||
12.8591 | + | 11.2771i | 0.452102 | + | 0.396483i | 0.854889 | − | 0.518811i | ||
−0.402787 | + | 0.915294i | ||||||||
−1.30977 | − | 0.645909i | −0.0460208 | − | 0.0226949i | |||||
−33.4977 | + | 6.66311i | −1.17626 | + | 0.233973i | −0.744255 | − | 0.667896i | ||
−0.432009 | + | 0.901869i | ||||||||
−5.45682 | − | 5.92446i | −0.191497 | − | 0.207908i | |||||
−0.416856 | + | 0.623870i | −0.0146198 | + | 0.0218801i | |||||
0.656051 | + | 4.98320i | 0.0229946 | + | 0.174661i | |||||
−6.24909 | + | 10.8237i | −0.218896 | + | 0.379139i | |||||
−8.94924 | + | 1.26755i | −0.313286 | + | 0.0443732i | |||||
−2.66424 | + | 1.53820i | −0.0932100 | + | 0.0538148i | |||||
12.8091 | + | 5.30568i | 0.447858 | + | 0.185509i | |||||
12.9176 | − | 5.72352i | 0.451378 | − | 0.199996i | |||||
−17.0995 | − | 17.0995i | −0.597140 | − | 0.597140i | |||||
16.8874 | + | 19.2564i | 0.589373 | + | 0.672052i | 0.967256 | − | 0.253802i | ||
−0.377883 | + | 0.925853i | ||||||||
2.54414 | − | 0.166752i | 0.0887371 | − | 0.00581614i | |||||
−24.5693 | + | 28.0159i | −0.856432 | + | 0.976573i | −0.999914 | − | 0.0130795i | ||
0.143483 | + | 0.989653i | ||||||||
−13.8138 | + | 18.0024i | −0.481225 | + | 0.627145i | |||||
−1.51054 | + | 0.625687i | −0.0525903 | + | 0.0217836i | |||||
−16.7227 | + | 4.92084i | −0.581857 | + | 0.171218i | |||||
−11.0441 | − | 16.5287i | −0.384042 | − | 0.574760i | 0.588206 | − | 0.808711i | ||
−0.972248 | + | 0.233951i | ||||||||
−5.05698 | + | 4.43485i | −0.175742 | + | 0.154122i | |||||
−28.0681 | + | 7.52082i | −0.974845 | + | 0.261209i | −0.710872 | − | 0.703321i | ||
−0.263973 | + | 0.964530i | ||||||||
10.2576 | + | 20.8004i | 0.356047 | + | 0.721993i | |||||
8.65085 | − | 1.13891i | 0.300095 | − | 0.0395082i | |||||
7.17670 | 0.248807 | |||||||||
7.66156 | − | 27.8263i | 0.265457 | − | 0.964123i | |||||
1.21254 | 0.0419868 | |||||||||
−6.25089 | + | 0.822945i | −0.216321 | + | 0.0284792i | |||||
2.28173 | + | 4.62688i | 0.0789152 | + | 0.160024i | |||||
9.94137 | − | 2.66378i | 0.343624 | − | 0.0920737i | |||||
−8.69896 | + | 7.62879i | −0.300501 | + | 0.263532i | |||||
−1.71714 | − | 2.56988i | −0.0592822 | − | 0.0887220i | 0.800644 | − | 0.599140i | ||
−0.859926 | + | 0.510418i | ||||||||
13.6472 | − | 4.01585i | 0.470874 | − | 0.138560i | |||||
23.7653 | − | 9.84391i | 0.819493 | − | 0.339445i | |||||
−5.02330 | + | 6.54650i | −0.173114 | + | 0.225607i | |||||
17.1519 | − | 19.5580i | 0.590744 | − | 0.673614i | |||||
24.0630 | − | 1.57717i | 0.828283 | − | 0.0542886i | |||||
26.4892 | + | 30.2051i | 0.911256 | + | 1.03909i | |||||
−4.97282 | − | 4.97282i | −0.170969 | − | 0.170969i | |||||
−24.3785 | + | 10.8016i | −0.837654 | + | 0.371147i | |||||
0.372337 | + | 0.154227i | 0.0127861 | + | 0.00529618i | |||||
10.9536 | − | 6.32407i | 0.375927 | − | 0.217041i | |||||
−2.64037 | − | 2.95189i | −0.0905641 | − | 0.101249i | |||||
18.5580 | − | 32.1433i | 0.636159 | − | 1.10186i | |||||
−0.964945 | − | 7.32948i | −0.0330585 | − | 0.251104i | |||||
32.0534 | − | 47.9713i | 1.09749 | − | 1.64250i | 0.418796 | − | 0.908080i | ||
0.678690 | − | 0.734424i | ||||||||
10.5558 | + | 11.4604i | 0.361213 | + | 0.392168i | |||||
8.11244 | − | 1.61366i | 0.277440 | − | 0.0551862i | |||||
19.7417 | + | 9.73555i | 0.674759 | + | 0.332754i | |||||
−23.1965 | − | 20.3428i | −0.792376 | − | 0.694895i | 0.164184 | − | 0.986430i | ||
−0.956560 | + | 0.291534i | ||||||||
−0.377502 | + | 2.86741i | −0.0128877 | + | 0.0978919i | |||||
−11.4383 | − | 8.77692i | −0.390270 | − | 0.299465i | 0.394925 | − | 0.918713i | ||
−0.785195 | + | 0.619249i | ||||||||
4.11227 | + | 0.817981i | 0.140227 | + | 0.0278929i | |||||
12.5423 | − | 7.65501i | 0.427442 | − | 0.260882i | |||||
−1.71053 | − | 8.59943i | −0.0582610 | − | 0.292898i | |||||
−35.6889 | − | 9.56282i | −1.21486 | − | 0.325522i | −0.406196 | − | 0.913786i | ||
−0.808669 | + | 0.588264i | ||||||||
4.83430 | − | 2.38401i | 0.164466 | − | 0.0811057i | |||||
−32.0268 | + | 24.5750i | −1.08894 | + | 0.835576i | |||||
−4.49577 | − | 7.78691i | −0.152773 | − | 0.264610i | |||||
−15.9876 | + | 5.77899i | −0.542967 | + | 0.196265i | |||||
−24.5071 | + | 38.6874i | −0.831827 | + | 1.31313i | |||||
5.34274 | − | 12.8985i | 0.181240 | − | 0.437552i | |||||
0.172893 | − | 2.63784i | 0.00586162 | − | 0.0894311i | |||||
−8.05438 | − | 30.0593i | −0.272912 | − | 1.01852i | |||||
1.94425 | − | 5.72757i | 0.0658406 | − | 0.193960i | |||||
−2.36762 | + | 4.80105i | −0.0801317 | + | 0.162491i | |||||
−1.40606 | + | 7.06872i | −0.0475605 | + | 0.239103i | |||||
17.3381 | + | 14.4727i | 0.586134 | + | 0.489265i | |||||
6.28758 | + | 15.1796i | 0.212438 | + | 0.512870i | |||||
−25.2384 | + | 8.56730i | −0.852242 | + | 0.289297i | −0.713175 | − | 0.700986i | ||
−0.139067 | + | 0.990283i | ||||||||
−0.498254 | − | 7.60189i | −0.0168153 | − | 0.256551i | |||||
20.7088 | + | 7.02969i | 0.698491 | + | 0.237106i | |||||
1.41037 | − | 5.26357i | 0.0475436 | − | 0.177435i | |||||
−28.5048 | − | 19.0463i | −0.960350 | − | 0.641685i | −0.0266129 | − | 0.999646i | ||
−0.933737 | + | 0.357961i | ||||||||
0.192487 | + | 3.94381i | 0.00648138 | + | 0.132795i | |||||
30.3589i | 1.02166i | 0.859682 | + | 0.510829i | ||||||
−0.859682 | + | 0.510829i | ||||||||
36.2465 | − | 7.57998i | 1.21910 | − | 0.254942i | |||||
26.1889 | + | 15.1202i | 0.880330 | + | 0.508259i | |||||
2.21571 | + | 2.88757i | 0.0744382 | + | 0.0970097i | |||||
29.5141 | + | 1.93445i | 0.990985 | + | 0.0649526i | 0.552263 | − | 0.833670i | ||
0.438722 | + | 0.898623i | ||||||||
−13.6288 | + | 13.6288i | −0.457352 | + | 0.457352i | |||||
−24.4238 | + | 19.7055i | −0.819147 | + | 0.660900i | |||||
12.4858 | − | 8.34275i | 0.418525 | − | 0.279650i | |||||
−0.308624 | − | 0.909178i | −0.0103393 | − | 0.0304586i | |||||
2.15529 | + | 0.283749i | 0.0721644 | + | 0.00950062i | |||||
39.4910 | + | 5.19909i | 1.32152 | + | 0.173981i | |||||
−1.87216 | − | 5.51521i | −0.0626144 | − | 0.184456i | |||||
10.7157 | − | 7.15998i | 0.358185 | − | 0.239332i | |||||
−10.9913 | + | 28.4804i | −0.367194 | + | 0.951463i | |||||
15.1017 | − | 15.1017i | 0.504233 | − | 0.504233i | |||||
−14.5122 | − | 0.951180i | −0.484279 | − | 0.0317413i | |||||
11.3413 | + | 14.7803i | 0.378253 | + | 0.492949i | |||||
−2.48026 | − | 1.43198i | −0.0826753 | − | 0.0477326i | |||||
0.744852 | + | 0.140585i | 0.0248146 | + | 0.00468355i | |||||
3.00782i | 0.100150i | |||||||||
−1.07076 | + | 2.31174i | −0.0356328 | + | 0.0769299i | |||||
−22.6236 | − | 15.1166i | −0.752450 | − | 0.502771i | |||||
1.36509 | − | 5.09459i | 0.0453772 | − | 0.169350i | |||||
−4.31060 | − | 1.46325i | −0.143210 | − | 0.0486132i | |||||
0.581382 | + | 8.87017i | 0.0193045 | + | 0.294529i | 0.996585 | + | 0.0825776i | ||
−0.977280 | + | 0.211952i | ||||||||
−0.0254649 | + | 0.00864416i | −0.000845082 | + | 0.000286867i | |||||
2.77317 | + | 6.69502i | 0.0919801 | + | 0.222060i | |||||
−19.3709 | + | 7.10680i | −0.642138 | + | 0.235588i | |||||
−2.15595 | + | 10.8387i | −0.0714297 | + | 0.359101i | −0.999925 | − | 0.0122427i | ||
0.928495 | + | 0.371344i | ||||||||
−3.09761 | + | 6.28134i | −0.102572 | + | 0.207996i | |||||
−4.90124 | + | 14.4386i | −0.162207 | + | 0.477847i | |||||
2.55514 | + | 9.53589i | 0.0845164 | + | 0.315419i | |||||
1.76783 | − | 26.9719i | 0.0584428 | − | 0.891664i | |||||
3.16305 | − | 7.63628i | 0.104510 | − | 0.252310i | |||||
−22.4919 | − | 14.2479i | −0.742748 | − | 0.470506i | |||||
1.83116 | − | 1.43383i | 0.0604372 | − | 0.0473235i | |||||
5.39679 | + | 9.34751i | 0.178024 | + | 0.308346i | 0.941203 | − | 0.337840i | ||
−0.763180 | + | 0.646186i | ||||||||
17.0601 | − | 13.0907i | 0.562454 | − | 0.431586i | |||||
−21.0532 | + | 10.3823i | −0.693725 | + | 0.342108i | |||||
17.4520 | + | 4.67626i | 0.574752 | + | 0.154004i | |||||
4.57949 | + | 23.0226i | 0.150736 | + | 0.757799i | |||||
3.75089 | + | 2.04530i | 0.123395 | + | 0.0672853i | |||||
15.5001 | + | 3.08317i | 0.509641 | + | 0.101374i | |||||
−6.59149 | − | 5.05783i | −0.216610 | − | 0.166210i | |||||
−1.42615 | + | 10.8327i | −0.0468409 | + | 0.355792i | |||||
7.33569 | + | 6.43323i | 0.240806 | + | 0.211181i | |||||
−30.5653 | − | 15.0731i | −1.00282 | − | 0.494534i | −0.134695 | − | 0.990887i | ||
−0.868120 | + | 0.496354i | ||||||||
−14.7415 | + | 2.93227i | −0.483393 | + | 0.0961528i | |||||
−14.4629 | − | 17.0576i | −0.474003 | − | 0.559040i | |||||
−14.5301 | + | 21.7458i | −0.475949 | + | 0.712308i | |||||
−4.48494 | − | 34.0665i | −0.146830 | − | 1.11529i | |||||
5.19745 | − | 9.00225i | 0.170066 | − | 0.294563i | |||||
0.570043 | − | 10.2332i | 0.0186424 | − | 0.334663i | |||||
−9.60471 | + | 5.54528i | −0.313940 | + | 0.181253i | |||||
18.5699 | + | 7.69191i | 0.606652 | + | 0.251284i | 0.664796 | − | 0.747025i | ||
−0.0581441 | + | 0.998308i | ||||||||
8.64758 | + | 0.924599i | 0.282353 | + | 0.0301892i | |||||
8.69251 | + | 8.69251i | 0.283669 | + | 0.283669i | |||||
−35.7938 | − | 40.8150i | −1.16747 | − | 1.33124i | |||||
60.6618 | − | 3.97599i | 1.97752 | − | 0.129613i | 0.979947 | − | 0.199259i | ||
0.997572 | + | 0.0696453i | ||||||||
0.680444 | − | 0.775897i | 0.0221700 | − | 0.0252801i | |||||
13.5213 | − | 17.6214i | 0.440316 | − | 0.573830i | |||||
−23.6562 | + | 9.79874i | −0.769945 | + | 0.318922i | |||||
4.72403 | − | 4.96022i | 0.153673 | − | 0.161356i | |||||
−0.289735 | − | 0.433619i | −0.00942009 | − | 0.0140982i | |||||
−45.7130 | + | 40.0892i | −1.48547 | + | 1.30273i | −0.640445 | + | 0.768004i | ||
−0.845029 | + | 0.534721i | ||||||||
23.6221 | − | 6.32951i | 0.767209 | − | 0.205573i | |||||
−23.0742 | − | 46.7898i | −0.749019 | − | 1.51886i | |||||
−3.04254 | + | 0.400558i | −0.0987130 | + | 0.0129958i | |||||
12.8879 | 0.417918 | |||||||||
−3.65778 | + | 22.3581i | −0.118549 | + | 0.724631i | |||||
−47.5702 | −1.54095 | −0.770476 | − | 0.637470i | ||||||
−0.770476 | + | 0.637470i | ||||||||
−0.102813 | + | 0.0135356i | −0.00332870 | + | 0.000438232i | |||||
−0.770139 | − | 1.56169i | −0.0249211 | − | 0.0505350i | |||||
29.1018 | − | 7.79779i | 0.941218 | − | 0.252199i | |||||
1.30668 | − | 1.14593i | 0.0422390 | − | 0.0370426i | |||||
3.79268 | + | 5.67614i | 0.122536 | + | 0.183388i | |||||
−2.81259 | + | 11.6233i | −0.0908234 | + | 0.375336i | |||||
3.21451 | − | 1.33149i | 0.103748 | − | 0.0429738i | |||||
45.6124 | − | 59.4432i | 1.47137 | − | 1.91752i | |||||
18.4323 | − | 21.0180i | 0.594280 | − | 0.677647i | |||||
10.5761 | − | 0.693196i | 0.340811 | − | 0.0223379i | |||||
20.7003 | + | 23.6042i | 0.666712 | + | 0.760239i | |||||
−3.30369 | − | 3.30369i | −0.106350 | − | 0.106350i | |||||
2.41784 | + | 5.45690i | 0.0777926 | + | 0.175573i | |||||
7.30054 | + | 3.02398i | 0.234769 | + | 0.0972447i | 0.496967 | − | 0.867770i | ||
−0.262197 | + | 0.965014i | ||||||||
18.1263 | − | 10.4652i | 0.582601 | − | 0.336365i | |||||
−3.28443 | + | 12.7565i | −0.105511 | + | 0.409799i | |||||
3.90878 | − | 6.77021i | 0.125503 | − | 0.217378i | |||||
−5.68905 | − | 43.2127i | −0.182570 | − | 1.38676i | −0.799937 | − | 0.600084i | ||
0.617366 | − | 0.786676i | ||||||||
0.934371 | − | 1.39838i | 0.0299700 | − | 0.0448532i | |||||
−1.69629 | + | 5.42850i | −0.0543805 | + | 0.174030i | |||||
−1.41415 | + | 0.281292i | −0.0453123 | + | 0.00901317i | |||||
8.15593 | + | 4.02206i | 0.261199 | + | 0.128809i | |||||
17.2073 | + | 15.0904i | 0.550791 | + | 0.483031i | |||||
7.75319 | − | 58.8913i | 0.248047 | − | 1.88410i | −0.185013 | − | 0.982736i | ||
0.433060 | − | 0.901365i | ||||||||
2.16032 | + | 1.65767i | 0.0690793 | + | 0.0530064i | |||||
9.68299 | + | 1.92607i | 0.309470 | + | 0.0615573i | |||||
−0.508411 | + | 30.4754i | −0.0162406 | + | 0.973500i | |||||
−0.568187 | − | 2.85647i | −0.0181408 | − | 0.0912000i | |||||
−7.86413 | − | 2.10719i | −0.250954 | − | 0.0672430i | |||||
−8.22481 | + | 4.05603i | −0.262331 | + | 0.129367i | −0.568699 | − | 0.822546i | ||
0.306368 | + | 0.951913i | ||||||||
−9.15063 | + | 7.02153i | −0.291711 | + | 0.223838i | |||||
7.98656 | + | 13.8331i | 0.254473 | + | 0.440760i | |||||
3.66634 | + | 2.06911i | 0.116760 | + | 0.0658940i | |||||
29.2199 | − | 15.3064i | 0.930080 | − | 0.487209i | |||||
10.9805 | − | 26.5093i | 0.349337 | − | 0.843374i | |||||
−0.251872 | + | 3.84283i | −0.00800908 | + | 0.122195i | |||||
0.362905 | + | 1.35438i | 0.0115339 | + | 0.0430450i | |||||
1.53268 | − | 4.51513i | 0.0486872 | − | 0.143428i | −0.919867 | − | 0.392230i | ||
0.968554 | + | 0.248802i | ||||||||
24.5364 | − | 49.7549i | 0.779031 | − | 1.57972i | |||||
2.84527 | − | 14.3042i | 0.0902920 | − | 0.453929i | |||||
−6.46331 | − | 1.12255i | −0.205004 | − | 0.0356052i | |||||
−24.7872 | − | 59.8416i | −0.785807 | − | 1.89711i | |||||
−25.2914 | + | 8.58529i | −0.801390 | + | 0.272035i | |||||
−1.85524 | − | 28.3054i | −0.0587559 | − | 0.896442i | −0.920905 | − | 0.389787i | ||
0.862149 | − | 0.506655i | ||||||||
5.59097 | + | 1.89788i | 0.176979 | + | 0.0600763i | |||||
−2.40199 | + | 8.96434i | −0.0759956 | + | 0.283619i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 357.2.bl.a.10.15 | ✓ | 384 | |
7.5 | odd | 6 | inner | 357.2.bl.a.61.10 | yes | 384 | |
17.12 | odd | 16 | inner | 357.2.bl.a.199.10 | yes | 384 | |
119.12 | even | 48 | inner | 357.2.bl.a.250.15 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
357.2.bl.a.10.15 | ✓ | 384 | 1.1 | even | 1 | trivial | |
357.2.bl.a.61.10 | yes | 384 | 7.5 | odd | 6 | inner | |
357.2.bl.a.199.10 | yes | 384 | 17.12 | odd | 16 | inner | |
357.2.bl.a.250.15 | yes | 384 | 119.12 | even | 48 | inner |