Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(83,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 7, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 416.bd (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 | 411.5 | ||
Character | 416.411 | ||
Dual form | 416.2.bd.a.83.5 |
-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 .
−1.35152 | − | 0.416401i | −0.955670 | − | 0.294440i | |||||
−2.25523 | + | 0.934148i | −1.30206 | + | 0.539331i | −0.922557 | − | 0.385860i | ||
−0.379502 | + | 0.925191i | ||||||||
1.65322 | + | 1.12555i | 0.826610 | + | 0.562775i | |||||
0.261748 | + | 0.631915i | 0.117057 | + | 0.282601i | 0.971539 | − | 0.236881i | ||
−0.854482 | + | 0.519482i | ||||||||
3.43698 | − | 0.323439i | 1.40314 | − | 0.132043i | |||||
4.76655i | 1.80159i | 0.434249 | + | 0.900793i | ||||||
−0.434249 | + | 0.900793i | ||||||||
−1.76568 | − | 2.20961i | −0.624263 | − | 0.781215i | |||||
2.09213 | − | 2.09213i | 0.697375 | − | 0.697375i | |||||
−0.0906275 | − | 0.963039i | −0.0286589 | − | 0.304540i | |||||
1.63978 | − | 0.679219i | 0.494412 | − | 0.204792i | −0.121524 | − | 0.992589i | ||
0.615936 | + | 0.787796i | ||||||||
−4.77983 | − | 0.994027i | −1.37982 | − | 0.286951i | |||||
3.28393 | + | 1.48856i | 0.910798 | + | 0.412852i | |||||
1.98480 | − | 6.44209i | 0.530459 | − | 1.72172i | |||||
−1.18061 | − | 1.18061i | −0.304831 | − | 0.304831i | |||||
1.46627 | + | 3.72157i | 0.366568 | + | 0.930391i | |||||
−2.74788 | −0.666460 | −0.333230 | − | 0.942846i | ||||||
−0.333230 | + | 0.942846i | ||||||||
−3.69872 | + | 1.95639i | −0.871796 | + | 0.461125i | |||||
0.414355 | − | 1.00034i | 0.0950595 | − | 0.229494i | −0.869196 | − | 0.494467i | ||
0.964256 | + | 0.264973i | ||||||||
−0.278526 | + | 1.33931i | −0.0622803 | + | 0.299478i | |||||
−4.45266 | − | 10.7497i | −0.971651 | − | 2.34577i | |||||
−2.49902 | + | 0.235173i | −0.532794 | + | 0.0501390i | |||||
−5.08603 | + | 5.08603i | −1.06051 | + | 1.06051i | −0.0624623 | + | 0.998047i | ||
−0.998047 | + | 0.0624623i | ||||||||
6.04613 | + | 3.33378i | 1.23416 | + | 0.680504i | |||||
3.20473 | − | 3.20473i | 0.640946 | − | 0.640946i | |||||
−3.81846 | − | 3.37925i | −0.748862 | − | 0.662726i | |||||
0.0385689 | − | 0.0931135i | 0.00742259 | − | 0.0179197i | |||||
−5.36499 | + | 7.88015i | −1.01389 | + | 1.48921i | |||||
0.203632 | + | 0.491611i | 0.0378135 | + | 0.0912899i | 0.941658 | − | 0.336571i | ||
−0.903845 | + | 0.427861i | ||||||||
1.10401 | + | 2.08722i | 0.201563 | + | 0.381072i | |||||
−5.24354 | + | 5.24354i | −0.941767 | + | 0.941767i | −0.998395 | − | 0.0566280i | ||
0.0566280 | + | 0.998395i | ||||||||
−0.432033 | − | 5.64033i | −0.0763734 | − | 0.997079i | |||||
−3.06360 | + | 3.06360i | −0.533303 | + | 0.533303i | |||||
3.71382 | + | 1.14422i | 0.636915 | + | 0.196233i | |||||
−3.01206 | + | 1.24763i | −0.509130 | + | 0.210889i | |||||
5.81354 | − | 1.10395i | 0.968923 | − | 0.183992i | |||||
−4.94751 | + | 2.04933i | −0.813366 | + | 0.336907i | −0.750296 | − | 0.661102i | ||
−0.0630697 | + | 0.998009i | ||||||||
−0.976552 | + | 1.17944i | −0.158418 | + | 0.191331i | |||||
−8.79656 | − | 0.289375i | −1.40858 | − | 0.0463371i | |||||
0.934122 | − | 1.69412i | 0.147698 | − | 0.267864i | |||||
−2.97903 | −0.465247 | −0.232623 | − | 0.972567i | ||||||
−0.232623 | + | 0.972567i | ||||||||
1.54169 | + | 16.3825i | 0.237888 | + | 2.52788i | |||||
−2.44549 | + | 5.90392i | −0.372933 | + | 0.900340i | 0.620317 | + | 0.784351i | ||
−0.993250 | + | 0.115989i | ||||||||
3.47541 | + | 0.722757i | 0.523938 | + | 0.108960i | |||||
1.86966 | + | 0.774437i | 0.278712 | + | 0.115446i | |||||
8.99170 | − | 4.75604i | 1.32575 | − | 0.701240i | |||||
−2.46927 | + | 2.46927i | −0.360180 | + | 0.360180i | −0.863879 | − | 0.503699i | ||
0.503699 | + | 0.863879i | ||||||||
−6.78328 | − | 7.02328i | −0.979082 | − | 1.01372i | |||||
−15.7200 | −2.24571 | |||||||||
−5.66571 | + | 2.99681i | −0.801253 | + | 0.423812i | |||||
6.19712 | − | 2.56693i | 0.867770 | − | 0.359442i | |||||
3.75361 | + | 6.15715i | 0.520531 | + | 0.853842i | |||||
1.10766 | − | 2.67412i | 0.152148 | − | 0.367318i | −0.829367 | − | 0.558705i | ||
0.981515 | + | 0.191387i | ||||||||
−0.0908993 | + | 0.109785i | −0.0123698 | + | 0.0149398i | |||||
0.858418 | + | 0.858418i | 0.115749 | + | 0.115749i | |||||
10.5322 | − | 8.41621i | 1.40743 | − | 1.12466i | |||||
2.64307i | 0.350083i | |||||||||
−0.0705055 | − | 0.749215i | −0.00925782 | − | 0.0983768i | |||||
−3.75224 | − | 9.05870i | −0.488499 | − | 1.17934i | −0.955475 | − | 0.295072i | ||
0.466976 | − | 0.884270i | ||||||||
−0.622969 | − | 3.28063i | −0.0804250 | − | 0.423528i | |||||
−4.09073 | − | 9.87589i | −0.523764 | − | 1.26448i | −0.935549 | − | 0.353197i | ||
0.411785 | − | 0.911281i | ||||||||
9.27017 | − | 4.90334i | 1.17731 | − | 0.622725i | |||||
9.97222 | + | 9.97222i | 1.25638 | + | 1.25638i | |||||
−1.76474 | + | 7.80293i | −0.220592 | + | 0.975366i | |||||
−0.0810828 | + | 2.46479i | −0.0100571 | + | 0.305720i | |||||
5.41620 | − | 2.86483i | 0.666688 | − | 0.352636i | |||||
7.51832 | + | 3.11419i | 0.918509 | + | 0.380459i | 0.791308 | − | 0.611418i | ||
0.127201 | + | 0.991877i | ||||||||
−4.54286 | − | 3.09288i | −0.550902 | − | 0.375067i | |||||
6.71907 | − | 16.2213i | 0.808881 | − | 1.95281i | |||||
4.59037 | − | 0.431980i | 0.548655 | − | 0.0516315i | |||||
12.2690 | 1.45606 | 0.728028 | − | 0.685547i | ||||||
0.728028 | + | 0.685547i | ||||||||
−8.31681 | − | 0.928752i | −0.980145 | − | 0.109454i | |||||
1.56983i | 0.183734i | 0.995771 | + | 0.0918672i | ||||||
−0.995771 | + | 0.0918672i | ||||||||
7.54001 | − | 0.709558i | 0.876508 | − | 0.0824844i | |||||
−4.23372 | + | 10.2211i | −0.488868 | + | 1.18023i | |||||
1.81095 | − | 1.18741i | 0.207731 | − | 0.136205i | |||||
3.23753 | + | 7.81609i | 0.368951 | + | 0.890726i | |||||
11.7682 | + | 4.05400i | 1.33249 | + | 0.459025i | |||||
−4.45846 | −0.501616 | −0.250808 | − | 0.968037i | ||||||
−0.250808 | + | 0.968037i | ||||||||
−1.96792 | + | 1.90067i | −0.220020 | + | 0.212502i | |||||
9.12216i | 1.01357i | |||||||||
4.02623 | + | 1.24047i | 0.444622 | + | 0.136987i | |||||
5.77758 | − | 13.9483i | 0.634172 | − | 1.53103i | −0.200159 | − | 0.979763i | ||
0.834331 | − | 0.551263i | ||||||||
4.73808 | − | 22.7833i | 0.516967 | − | 2.48586i | |||||
−0.719253 | − | 1.73643i | −0.0780139 | − | 0.188342i | |||||
5.76353 | − | 6.96098i | 0.621497 | − | 0.750621i | |||||
−0.918475 | − | 0.918475i | −0.0984709 | − | 0.0984709i | |||||
−4.39614 | − | 2.42399i | −0.468630 | − | 0.258398i | |||||
4.19672 | 0.444851 | 0.222426 | − | 0.974950i | ||||||
0.222426 | + | 0.974950i | ||||||||
−2.20440 | − | 1.82520i | −0.232365 | − | 0.192392i | |||||
−7.09530 | + | 15.6530i | −0.743789 | + | 1.64088i | |||||
−14.1329 | + | 2.68374i | −1.47346 | + | 0.279799i | |||||
6.92716 | − | 16.7236i | 0.718313 | − | 1.73416i | |||||
4.36548 | − | 2.30906i | 0.450264 | − | 0.238162i | |||||
0.740587 | 0.0759826 | |||||||||
6.24324 | + | 12.3167i | 0.637198 | + | 1.25707i | |||||
−0.245304 | − | 0.245304i | −0.0249069 | − | 0.0249069i | 0.694544 | − | 0.719451i | ||
−0.719451 | + | 0.694544i | ||||||||
21.2459 | + | 6.54582i | 2.14616 | + | 0.661228i | |||||
2.00961 | − | 4.85164i | 0.201974 | − | 0.487608i | |||||
8.90521 | − | 1.69104i | 0.890521 | − | 0.169104i | |||||
−2.01267 | + | 4.85902i | −0.200268 | + | 0.483490i | −0.991825 | − | 0.127605i | ||
0.791557 | + | 0.611096i | ||||||||
−9.44441 | + | 0.888773i | −0.935136 | + | 0.0880017i | |||||
−8.16643 | − | 8.16643i | −0.804663 | − | 0.804663i | 0.179158 | − | 0.983820i | ||
−0.983820 | + | 0.179158i | ||||||||
−2.50924 | − | 9.88452i | −0.246051 | − | 0.969257i | |||||
5.62741 | − | 5.62741i | 0.549179 | − | 0.549179i | |||||
−2.61053 | + | 3.15290i | −0.253557 | + | 0.306236i | |||||
−0.342942 | − | 0.142051i | −0.0331534 | − | 0.0137326i | 0.366045 | − | 0.930597i | ||
−0.399199 | + | 0.916865i | ||||||||
0.168567 | − | 0.110526i | 0.0162204 | − | 0.0106354i | |||||
19.0153 | + | 7.87639i | 1.82133 | + | 0.754421i | 0.975156 | + | 0.221520i | ||
0.846178 | + | 0.532901i | ||||||||
−0.802724 | − | 1.51762i | −0.0765367 | − | 0.144699i | |||||
9.24342 | − | 9.24342i | 0.877346 | − | 0.877346i | |||||
−17.7390 | + | 6.98906i | −1.67618 | + | 0.660404i | |||||
− | 0.911688i | − | 0.0857644i | −0.999080 | − | 0.0428822i | ||||
0.999080 | − | 0.0428822i | ||||||||
1.10058 | − | 3.57217i | 0.103079 | − | 0.334564i | |||||
−4.54519 | − | 1.88268i | −0.423842 | − | 0.175561i | |||||
−0.216685 | + | 1.04194i | −0.0201187 | + | 0.0967416i | |||||
9.98465 | − | 3.75614i | 0.923081 | − | 0.347255i | |||||
1.29917 | + | 13.8055i | 0.119599 | + | 1.27090i | |||||
− | 13.0979i | − | 1.20068i | |||||||
−0.524103 | + | 4.69325i | −0.0478438 | + | 0.428433i | |||||
−5.55064 | + | 5.55064i | −0.504603 | + | 0.504603i | |||||
1.41637 | + | 15.0509i | 0.128232 | + | 1.36264i | |||||
6.71842 | − | 2.78286i | 0.605779 | − | 0.250922i | |||||
−14.5706 | + | 2.76685i | −1.30848 | + | 0.248471i | |||||
6.02353 | + | 2.49503i | 0.538761 | + | 0.223162i | |||||
−9.32522 | − | 17.6301i | −0.830757 | − | 1.57062i | |||||
−19.1141 | −1.69611 | −0.848053 | − | 0.529911i | ||||||
−0.848053 | + | 0.529911i | ||||||||
5.63423 | − | 9.81098i | 0.498001 | − | 0.867177i | |||||
− | 15.5992i | − | 1.37343i | |||||||
1.13593 | − | 3.29746i | 0.0996275 | − | 0.289206i | |||||
−12.2119 | + | 5.05835i | −1.06696 | + | 0.441950i | −0.845917 | − | 0.533314i | ||
−0.221044 | + | 0.975264i | ||||||||
−8.51303 | + | 1.61657i | −0.740964 | + | 0.140704i | |||||
4.76817 | + | 1.97504i | 0.413453 | + | 0.171258i | |||||
−8.86442 | − | 7.33953i | −0.765769 | − | 0.634039i | |||||
0.0689352 | 0.00593300 | |||||||||
4.85189 | + | 6.07175i | 0.416046 | + | 0.520648i | |||||
13.5356i | 1.15642i | 0.815887 | + | 0.578212i | ||||||
−0.815887 | + | 0.578212i | ||||||||
−15.8355 | + | 19.1256i | −1.34801 | + | 1.62808i | |||||
−1.05909 | − | 0.438691i | −0.0898311 | − | 0.0372093i | 0.337315 | − | 0.941392i | ||
−0.427146 | + | 0.904182i | ||||||||
−6.38387 | − | 1.32761i | −0.539535 | − | 0.112203i | |||||
3.26211 | − | 7.87544i | 0.274720 | − | 0.663232i | |||||
−16.5818 | − | 5.10881i | −1.39151 | − | 0.428722i | |||||
6.39598 | + | 0.210405i | 0.534859 | + | 0.0175949i | |||||
10.8536 | + | 4.71836i | 0.904467 | + | 0.393196i | |||||
−0.257356 | + | 0.257356i | −0.0213723 | + | 0.0213723i | |||||
0.653678 | − | 2.12165i | 0.0540988 | − | 0.175589i | |||||
35.4523 | − | 14.6848i | 2.92405 | − | 1.21118i | |||||
−10.4859 | − | 2.18069i | −0.861939 | − | 0.179251i | |||||
−16.1546 | + | 6.69145i | −1.32344 | + | 0.548185i | −0.928776 | − | 0.370643i | ||
−0.394660 | + | 0.918827i | ||||||||
9.97804 | − | 12.0511i | 0.814704 | − | 0.983969i | |||||
21.8089 | 1.77478 | 0.887392 | − | 0.461016i | ||||||
0.887392 | + | 0.461016i | ||||||||
−2.94198 | + | 0.850721i | −0.238626 | + | 0.0690026i | |||||
−5.74892 | + | 5.74892i | −0.464772 | + | 0.464772i | |||||
−1.12096 | − | 11.9117i | −0.0903296 | − | 0.959874i | |||||
−4.68596 | − | 1.94099i | −0.376385 | − | 0.155904i | |||||
−14.2169 | − | 10.3794i | −1.13827 | − | 0.831015i | |||||
4.63951 | + | 11.2008i | 0.370273 | + | 0.893918i | 0.993704 | + | 0.112040i | ||
−0.623431 | + | 0.781879i | ||||||||
6.02571 | + | 1.85651i | 0.479380 | + | 0.147696i | |||||
7.06547i | 0.560329i | |||||||||
3.45113 | − | 1.74935i | 0.272836 | − | 0.138299i | |||||
−24.2428 | − | 24.2428i | −1.91060 | − | 1.91060i | |||||
3.79848 | − | 12.3288i | 0.298437 | − | 0.968641i | |||||
1.91518 | − | 4.62366i | 0.150009 | − | 0.362153i | −0.830956 | − | 0.556338i | ||
0.980965 | + | 0.194185i | ||||||||
−4.92500 | − | 3.35305i | −0.384578 | − | 0.261829i | |||||
−2.73782 | − | 1.13404i | −0.213139 | − | 0.0882851i | |||||
−13.6166 | + | 16.4457i | −1.05685 | + | 1.27643i | |||||
20.0885i | 1.55450i | 0.629195 | + | 0.777248i | ||||||
−0.629195 | + | 0.777248i | ||||||||
−15.8906 | + | 28.8192i | −1.22599 | + | 2.22345i | |||||
8.56837 | + | 9.77665i | 0.659106 | + | 0.752050i | |||||
0.249034 | + | 2.64632i | 0.0191000 | + | 0.202963i | |||||
−1.22596 | − | 2.95972i | −0.0937512 | − | 0.226335i | |||||
−10.6881 | + | 7.00797i | −0.814959 | + | 0.534353i | |||||
6.32717 | + | 15.2752i | 0.481046 | + | 1.16135i | 0.959113 | + | 0.283025i | ||
−0.478066 | + | 0.878324i | ||||||||
0.858885 | + | 1.62379i | 0.0651119 | + | 0.123099i | |||||
15.2755 | + | 15.2755i | 1.15472 | + | 1.15472i | |||||
4.93212 | + | 5.10663i | 0.371773 | + | 0.384926i | |||||
16.9243 | + | 16.9243i | 1.27211 | + | 1.27211i | |||||
−5.67195 | − | 1.74752i | −0.425131 | − | 0.130982i | |||||
−8.30332 | + | 3.43935i | −0.620619 | + | 0.257069i | −0.670761 | − | 0.741673i | ||
0.0501422 | + | 0.998742i | ||||||||
2.21928 | + | 3.38471i | 0.165416 | + | 0.252281i | |||||
7.67585 | + | 3.17944i | 0.570542 | + | 0.236326i | 0.649254 | − | 0.760571i | ||
−0.0787128 | + | 0.996897i | ||||||||
16.1074 | − | 18.2009i | 1.19396 | − | 1.34914i | |||||
18.4511 | + | 18.4511i | 1.36394 | + | 1.36394i | |||||
20.2184 | + | 2.25783i | 1.49052 | + | 0.166449i | |||||
−2.59000 | − | 2.59000i | −0.190421 | − | 0.190421i | |||||
−16.3260 | + | 19.7179i | −1.19708 | + | 1.44579i | |||||
−4.50592 | + | 1.86641i | −0.329506 | + | 0.136486i | |||||
−6.86153 | + | 1.30296i | −0.500429 | + | 0.0950279i | |||||
0.443830 | + | 0.183840i | 0.0322839 | + | 0.0133724i | |||||
−1.00092 | − | 0.308381i | −0.0726143 | − | 0.0223723i | |||||
− | 7.74904i | − | 0.560701i | −0.959898 | − | 0.280350i | ||||
0.959898 | − | 0.280350i | ||||||||
−3.30919 | − | 19.2460i | −0.238820 | − | 1.38896i | |||||
12.4434 | − | 12.4434i | 0.895696 | − | 0.895696i | −0.0993562 | − | 0.995052i | ||
0.995052 | + | 0.0993562i | ||||||||
0.229389 | + | 0.433679i | 0.0164692 | + | 0.0311363i | |||||
−2.11962 | − | 5.63443i | −0.151789 | − | 0.403490i | |||||
−25.9886 | − | 17.6936i | −1.85633 | − | 1.26383i | |||||
2.23719 | + | 5.40104i | 0.159393 | + | 0.384809i | 0.983319 | − | 0.181889i | ||
−0.823926 | + | 0.566697i | ||||||||
−4.73626 | + | 5.72028i | −0.336592 | + | 0.406523i | |||||
3.20031 | + | 3.20031i | 0.226864 | + | 0.226864i | 0.811381 | − | 0.584517i | ||
−0.584517 | + | 0.811381i | ||||||||
−12.7397 | − | 1.42267i | −0.900835 | − | 0.100598i | |||||
−19.8647 | −1.40115 | |||||||||
4.74347 | − | 5.72899i | 0.333749 | − | 0.403090i | |||||
−2.34329 | + | 0.970622i | −0.164467 | + | 0.0681243i | |||||
13.1344 | + | 2.73147i | 0.919593 | + | 0.191241i | |||||
−0.779756 | − | 1.88250i | −0.0544605 | − | 0.131479i | |||||
7.63660 | + | 14.4376i | 0.532067 | + | 1.00592i | |||||
21.2812i | 1.47915i | |||||||||
−0.724642 | + | 14.4040i | −0.0502449 | + | 0.998737i | |||||
− | 1.92178i | − | 0.132932i | |||||||
−9.94883 | + | 5.26231i | −0.686535 | + | 0.363134i | |||||
−0.961172 | − | 2.32047i | −0.0661698 | − | 0.159748i | 0.887335 | − | 0.461125i | ||
−0.953505 | + | 0.301377i | ||||||||
4.84105 | − | 3.17418i | 0.332485 | − | 0.218004i | |||||
−27.6694 | + | 11.4610i | −1.89587 | + | 0.785296i | |||||
0.404343 | + | 0.334787i | 0.0276403 | + | 0.0228855i | |||||
−4.37088 | −0.298092 | |||||||||
−0.273845 | + | 0.0791867i | −0.0186328 | + | 0.00538797i | |||||
−24.9936 | − | 24.9936i | −1.69668 | − | 1.69668i | |||||
−22.4198 | − | 18.5631i | −1.51846 | − | 1.25725i | |||||
−1.46645 | − | 3.54033i | −0.0990936 | − | 0.239233i | |||||
0.452961 | + | 2.38535i | 0.0305386 | + | 0.160820i | |||||
−9.02385 | − | 4.09039i | −0.607010 | − | 0.275149i | |||||
−16.3416 | + | 8.64371i | −1.09678 | + | 0.580128i | |||||
6.19432 | − | 6.19432i | 0.414802 | − | 0.414802i | −0.468605 | − | 0.883408i | ||
0.883408 | + | 0.468605i | ||||||||
26.8849 | − | 2.05931i | 1.79632 | − | 0.137593i | |||||
− | 13.4094i | − | 0.893959i | |||||||
−0.379628 | + | 1.23217i | −0.0252525 | + | 0.0819624i | |||||
−19.9580 | − | 8.26686i | −1.32466 | − | 0.548690i | −0.395530 | − | 0.918453i | ||
−0.929126 | + | 0.369763i | ||||||||
−2.97491 | + | 4.36958i | −0.197018 | + | 0.289382i | |||||
19.3325 | − | 8.00780i | 1.27753 | − | 0.529170i | 0.362285 | − | 0.932068i | ||
0.915245 | + | 0.402897i | ||||||||
5.35898 | + | 4.43711i | 0.353360 | + | 0.292574i | |||||
−14.6028 | − | 14.6028i | −0.960792 | − | 0.960792i | |||||
0.726719 | − | 1.31798i | 0.0477114 | − | 0.0865293i | |||||
8.75627 | + | 8.75627i | 0.573642 | + | 0.573642i | 0.933144 | − | 0.359502i | ||
−0.359502 | + | 0.933144i | ||||||||
−15.0585 | + | 0.918877i | −0.984406 | + | 0.0600689i | |||||
−2.20669 | − | 0.914043i | −0.143949 | − | 0.0596256i | |||||
3.99275 | − | 19.1993i | 0.259906 | − | 1.24977i | |||||
10.0549 | − | 4.16487i | 0.653134 | − | 0.270537i | |||||
−5.45399 | + | 17.7021i | −0.353530 | + | 1.14746i | |||||
15.7148 | + | 15.7148i | 1.01651 | + | 1.01651i | 0.999861 | + | 0.0166470i | ||
0.0166470 | + | 0.999861i | ||||||||
2.66261 | − | 6.12479i | 0.171871 | − | 0.395353i | |||||
3.57821 | + | 3.57821i | 0.230493 | + | 0.230493i | 0.812898 | − | 0.582405i | ||
−0.582405 | + | 0.812898i | ||||||||
9.81309 | − | 5.19051i | 0.630810 | − | 0.333659i | |||||
−8.40574 | − | 20.2933i | −0.539229 | − | 1.30181i | |||||
4.35294 | − | 20.9313i | 0.278668 | − | 1.33999i | |||||
−4.11467 | − | 9.93370i | −0.262877 | − | 0.634641i | |||||
−10.2389 | + | 0.963536i | −0.652806 | + | 0.0614328i | |||||
2.84978 | − | 2.66826i | 0.181327 | − | 0.169777i | |||||
20.8446 | + | 2.32775i | 1.32363 | + | 0.147812i | |||||
36.8538i | 2.33552i | |||||||||
−7.10199 | − | 5.88028i | −0.449169 | − | 0.371902i | |||||
−9.20091 | − | 3.81114i | −0.580756 | − | 0.240557i | 0.0729119 | − | 0.997338i | ||
−0.653668 | + | 0.756781i | ||||||||
5.26203 | + | 27.7105i | 0.331477 | + | 1.74560i | |||||
−4.88544 | + | 11.7945i | −0.307145 | + | 0.741513i | |||||
25.8332 | + | 7.95916i | 1.62092 | + | 0.499402i | |||||
3.24417 | + | 3.24417i | 0.203158 | + | 0.203158i | |||||
−11.7001 | + | 10.9137i | −0.731256 | + | 0.682103i | |||||
15.4585i | 0.964276i | 0.876095 | + | 0.482138i | ||||||
−0.876095 | + | 0.482138i | ||||||||
−6.49552 | + | 21.0826i | −0.404393 | + | 1.31255i | |||||
−9.76821 | − | 23.5826i | −0.606967 | − | 1.46535i | |||||
−2.90830 | + | 3.98358i | −0.180365 | + | 0.247051i | |||||
1.45454 | + | 0.602488i | 0.0900335 | + | 0.0372931i | |||||
18.6110 | − | 1.75140i | 1.14979 | − | 0.108202i | |||||
22.1324 | − | 22.1324i | 1.36474 | − | 1.36474i | 0.496981 | − | 0.867761i | ||
0.867761 | − | 0.496981i | ||||||||
12.1787 | + | 1.36001i | 0.749546 | + | 0.0837030i | |||||
1.97974 | 0.121615 | |||||||||
−5.62188 | − | 4.65478i | −0.344699 | − | 0.285403i | |||||
−9.46458 | + | 3.92036i | −0.579223 | + | 0.239922i | |||||
8.92426 | + | 13.6107i | 0.545136 | + | 0.831405i | |||||
21.4569 | − | 8.88775i | 1.30825 | − | 0.541896i | 0.383878 | − | 0.923384i | ||
0.924374 | + | 0.381488i | ||||||||
−0.0931674 | − | 0.0287047i | −0.00566999 | − | 0.00174691i | |||||
−15.0473 | + | 15.0473i | −0.914058 | + | 0.914058i | −0.996589 | − | 0.0825308i | ||
0.0825308 | + | 0.996589i | ||||||||
−4.02914 | − | 10.2264i | −0.244303 | − | 0.620068i | |||||
1.37932 | − | 41.9292i | 0.0834804 | − | 2.53767i | |||||
5.63624 | − | 18.2936i | 0.340498 | − | 1.10516i | |||||
3.07834 | − | 7.43176i | 0.185631 | − | 0.448152i | |||||
29.3660 | − | 19.2547i | 1.76762 | − | 1.15900i | |||||
−12.0846 | − | 5.00560i | −0.726092 | − | 0.300757i | −0.0111473 | − | 0.999938i | ||
−0.714945 | + | 0.699181i | ||||||||
1.24872 | + | 1.03391i | 0.0748930 | + | 0.0620097i | |||||
21.9403i | 1.31353i | |||||||||
8.07511 | + | 4.45254i | 0.482580 | + | 0.266090i | |||||
18.2366 | 1.08791 | 0.543953 | − | 0.839116i | ||||||
0.543953 | + | 0.839116i | ||||||||
−7.68816 | + | 9.28548i | −0.457823 | + | 0.552942i | |||||
5.24389 | + | 2.17209i | 0.311717 | + | 0.129117i | 0.533057 | − | 0.846079i | ||
−0.221340 | + | 0.975197i | ||||||||
20.2833 | + | 13.8093i | 1.20359 | + | 0.819433i | |||||
−1.67020 | + | 0.691818i | −0.0989339 | + | 0.0409798i | |||||
−8.55669 | − | 2.94766i | −0.505968 | − | 0.174299i | |||||
− | 14.1997i | − | 0.838182i | |||||||
−12.7042 | − | 10.8964i | −0.748599 | − | 0.642077i | |||||
−9.44914 | −0.555832 | |||||||||
0.454986 | − | 0.240659i | 0.0267177 | − | 0.0141320i | |||||
0.782369 | + | 0.324068i | 0.0458633 | + | 0.0189972i | |||||
−1.76692 | + | 2.59527i | −0.103401 | + | 0.151877i | |||||
−27.8685 | + | 11.5435i | −1.62809 | + | 0.674379i | −0.995017 | − | 0.0997101i | ||
−0.633077 | + | 0.774089i | ||||||||
−54.0292 | + | 5.08446i | −3.15105 | + | 0.296532i | |||||
4.74219 | − | 4.74219i | 0.276101 | − | 0.276101i | |||||
13.2639 | + | 7.31361i | 0.770951 | + | 0.425095i | |||||
− | 0.178882i | − | 0.0103798i | |||||||
24.6196 | − | 2.31684i | 1.42617 | − | 0.134211i | |||||
−24.2730 | + | 9.13129i | −1.40374 | + | 0.528076i | |||||
−18.5036 | + | 12.1325i | −1.06831 | + | 0.700468i | |||||
−28.1413 | − | 11.6565i | −1.62204 | − | 0.671871i | |||||
−29.4752 | − | 9.08126i | −1.69611 | − | 0.522568i | |||||
− | 12.8384i | − | 0.737544i | |||||||
4.33039 | + | 0.0752764i | 0.248365 | + | 0.00431740i | |||||
5.16999 | − | 5.16999i | 0.296033 | − | 0.296033i | |||||
10.1636 | − | 5.37593i | 0.581017 | − | 0.307321i | |||||
13.0113 | + | 5.38945i | 0.742593 | + | 0.307592i | 0.721716 | − | 0.692190i | ||
0.0208779 | + | 0.999782i | ||||||||
−3.44505 | + | 16.5657i | −0.196300 | + | 0.943920i | |||||
26.0459 | + | 10.7886i | 1.48170 | + | 0.613739i | |||||
5.52494 | + | 4.57453i | 0.313796 | + | 0.259816i | |||||
−14.0691 | + | 14.0691i | −0.797786 | + | 0.797786i | −0.982746 | − | 0.184960i | ||
0.184960 | + | 0.982746i | ||||||||
14.8925 | + | 19.9479i | 0.843123 | + | 1.12933i | |||||
0.452439 | + | 0.452439i | 0.0255734 | + | 0.0255734i | 0.719778 | − | 0.694204i | ||
−0.694204 | + | 0.719778i | ||||||||
−1.60638 | − | 17.0700i | −0.0906534 | − | 0.963314i | |||||
−3.69139 | + | 8.91181i | −0.207986 | + | 0.502123i | |||||
−7.37082 | − | 5.01823i | −0.414641 | − | 0.282297i | |||||
−5.13543 | + | 12.3980i | −0.288435 | + | 0.696343i | −0.999980 | − | 0.00629718i | ||
0.711546 | + | 0.702640i | ||||||||
2.94207 | − | 9.54914i | 0.164983 | − | 0.535489i | |||||
0.667823 | + | 0.667823i | 0.0373909 | + | 0.0373909i | |||||
−5.39271 | + | 0.927234i | −0.301462 | + | 0.0518340i | |||||
0.906111 | 0.0505742 | |||||||||
22.6699 | + | 42.8594i | 1.26335 | + | 2.38846i | |||||
−1.13860 | + | 2.74882i | −0.0633533 | + | 0.152948i | |||||
−10.2675 | + | 15.0809i | −0.570414 | + | 0.837830i | |||||
15.2945 | − | 5.75367i | 0.848388 | − | 0.319156i | |||||
−4.51371 | + | 5.45149i | −0.249991 | + | 0.301930i | |||||
−50.2416 | −2.77837 | |||||||||
5.26002 | + | 6.58250i | 0.290436 | + | 0.363458i | |||||
−11.7699 | − | 11.7699i | −0.648895 | − | 0.648895i | |||||
3.22801 | + | 2.67272i | 0.177696 | + | 0.147128i | |||||
6.46992 | + | 15.6198i | 0.355619 | + | 0.858540i | 0.995905 | + | 0.0904037i | ||
−0.640286 | + | 0.768136i | ||||||||
25.2511 | − | 16.5567i | 1.38584 | − | 0.908665i | |||||
−6.06337 | + | 14.6383i | −0.332270 | + | 0.802172i | |||||
8.36488 | − | 27.1500i | 0.457706 | − | 1.48558i | |||||
5.56608i | 0.304107i | |||||||||
33.4768 | − | 32.3328i | 1.82631 | − | 1.76390i | |||||
19.8195 | 1.07964 | 0.539819 | − | 0.841781i | ||||||
0.539819 | + | 0.841781i | ||||||||
−7.50933 | − | 16.7812i | −0.408454 | − | 0.912779i | |||||
0.851652 | + | 2.05607i | 0.0462554 | + | 0.111670i | |||||
0.765357 | − | 3.68026i | 0.0415073 | − | 0.199590i | |||||
−5.03674 | + | 12.1598i | −0.272755 | + | 0.658488i | |||||
0.424475 | + | 4.51061i | 0.0229530 | + | 0.243906i | |||||
− | 41.5643i | − | 2.24426i | |||||||
17.3633 | − | 5.02088i | 0.936167 | − | 0.270708i | |||||
12.0092 | 0.646552 | |||||||||
−2.19072 | − | 23.2793i | −0.117774 | − | 1.25150i | |||||
−7.82618 | + | 18.8941i | −0.420131 | + | 1.01429i | 0.562177 | + | 0.827017i | ||
−0.982308 | + | 0.187270i | ||||||||
−0.484651 | − | 2.55223i | −0.0259800 | − | 0.136814i | |||||
−9.16581 | − | 3.79660i | −0.490634 | − | 0.203227i | 0.123629 | − | 0.992329i | ||
−0.614263 | + | 0.789101i | ||||||||
−14.2844 | − | 27.0059i | −0.763535 | − | 1.44353i | |||||
0.265263 | − | 0.248366i | 0.0141587 | − | 0.0132568i | |||||
−4.53946 | − | 8.95546i | −0.241954 | − | 0.477327i | |||||
−2.03374 | − | 2.03374i | −0.108245 | − | 0.108245i | 0.650910 | − | 0.759155i | ||
−0.759155 | + | 0.650910i | ||||||||
−15.8263 | − | 29.9209i | −0.841158 | − | 1.59028i | |||||
3.21137 | + | 7.75294i | 0.170442 | + | 0.411483i | |||||
6.93810 | + | 4.72362i | 0.367718 | + | 0.250351i | |||||
12.2354 | + | 29.5389i | 0.647566 | + | 1.56336i | |||||
12.6543 | − | 1.19084i | 0.668799 | − | 0.0629378i | |||||
− | 5.77186i | − | 0.304627i | −0.988332 | − | 0.152314i | ||||
0.988332 | − | 0.152314i | ||||||||
−1.59001 | − | 5.49862i | −0.0838011 | − | 0.289803i | |||||
12.6060 | + | 12.6060i | 0.663476 | + | 0.663476i | |||||
−9.05016 | − | 7.49332i | −0.475666 | − | 0.393840i | |||||
7.33286 | − | 17.7031i | 0.384876 | − | 0.929172i | |||||
−29.3483 | + | 17.8917i | −1.53827 | + | 0.937782i | |||||
−0.991998 | + | 0.410899i | −0.0519235 | + | 0.0215074i | |||||
−17.2540 | − | 32.6201i | −0.901880 | − | 1.70508i | |||||
5.52161 | 0.288226 | 0.144113 | − | 0.989561i | ||||||
0.144113 | + | 0.989561i | ||||||||
−26.3855 | − | 11.4705i | −1.37544 | − | 0.597940i | |||||
−6.23251 | + | 6.23251i | −0.324452 | + | 0.324452i | |||||
2.42196 | + | 4.57892i | 0.125912 | + | 0.238047i | |||||
12.7463 | + | 5.27969i | 0.661755 | + | 0.274108i | |||||
30.2754 | − | 19.8510i | 1.56971 | − | 1.02923i | |||||
5.04449 | − | 12.1785i | 0.261194 | − | 0.630577i | −0.737819 | − | 0.674998i | ||
0.999013 | + | 0.0444210i | ||||||||
6.86703 | − | 0.646227i | 0.355086 | − | 0.0334156i | |||||
−15.9152 | −0.821856 | |||||||||
9.81606 | + | 1.09618i | 0.506225 | + | 0.0565309i | |||||
−0.0630800 | + | 1.91753i | −0.00324878 | + | 0.0987580i | |||||
−0.523295 | − | 0.433276i | −0.0269154 | − | 0.0222853i | |||||
25.0950 | − | 10.3947i | 1.28904 | − | 0.533939i | 0.370342 | − | 0.928895i | ||
0.918700 | + | 0.394957i | ||||||||
1.22435 | + | 0.833568i | 0.0628080 | + | 0.0427612i | |||||
43.1069 | − | 17.8555i | 2.20843 | − | 0.914762i | |||||
−3.22671 | + | 10.4730i | −0.165093 | + | 0.535845i | |||||
18.8204 | − | 18.8204i | 0.961679 | − | 0.961679i | −0.0376130 | − | 0.999292i | ||
0.999292 | + | 0.0376130i | ||||||||
−3.54160 | + | 27.3893i | −0.180731 | + | 1.39770i | |||||
−4.09169 | + | 4.09169i | −0.208532 | + | 0.208532i | |||||
−21.9990 | + | 11.6361i | −1.11972 | + | 0.592261i | |||||
7.23549 | + | 17.4680i | 0.367801 | + | 0.887949i | |||||
−0.129439 | − | 0.681644i | −0.00657129 | − | 0.0346052i | |||||
−1.64741 | + | 3.97720i | −0.0835269 | + | 0.201652i | −0.960125 | − | 0.279572i | ||
0.876598 | + | 0.481224i | ||||||||
0.518531 | + | 8.49766i | 0.0262568 | + | 0.430296i | |||||
13.9758 | − | 13.9758i | 0.706787 | − | 0.706787i | |||||
27.7565 | + | 34.7350i | 1.40191 | + | 1.75438i | |||||
22.8155 | − | 22.8155i | 1.15089 | − | 1.15089i | |||||
−0.774602 | − | 8.23119i | −0.0390239 | − | 0.414682i | |||||
−1.16699 | − | 2.81737i | −0.0587178 | − | 0.141757i | |||||
8.78309 | − | 5.75890i | 0.441367 | − | 0.289396i | |||||
−6.18853 | + | 14.9404i | −0.310593 | + | 0.749838i | 0.689090 | + | 0.724676i | ||
−0.999683 | + | 0.0251627i | ||||||||
−2.99267 | − | 5.65790i | −0.150009 | − | 0.283605i | |||||
−12.5983 | −0.630705 | |||||||||
16.6256 | + | 7.22760i | 0.831281 | + | 0.361380i | |||||
10.4619 | + | 10.4619i | 0.522441 | + | 0.522441i | 0.918308 | − | 0.395867i | ||
−0.395867 | + | 0.918308i | ||||||||
26.8475 | + | 8.27168i | 1.33903 | + | 0.412554i | |||||
−25.0247 | + | 9.41408i | −1.24657 | + | 0.468949i | |||||
−8.79646 | + | 5.76766i | −0.437640 | + | 0.286952i | |||||
−5.76443 | + | 2.38771i | −0.286437 | + | 0.118646i | |||||
3.57117 | − | 0.336068i | 0.177234 | − | 0.0166788i | |||||
−6.72089 | + | 6.72089i | −0.333142 | + | 0.333142i | |||||
−16.6140 | − | 9.16083i | −0.822518 | − | 0.453528i | |||||
6.51944i | 0.322366i | 0.986925 | + | 0.161183i | ||||||
−0.986925 | + | 0.161183i | ||||||||
0.269982 | + | 2.86893i | 0.0133335 | + | 0.141686i | |||||
−12.6443 | − | 30.5259i | −0.623695 | − | 1.50573i | |||||
−4.30918 | − | 22.6926i | −0.212298 | − | 1.11799i | |||||
43.1787 | − | 17.8852i | 2.12469 | − | 0.880074i | |||||
8.86152 | − | 28.7620i | 0.435520 | − | 1.41358i | |||||
10.3264 | 0.506904 | |||||||||
6.97721 | − | 19.1656i | 0.342086 | − | 0.939669i | |||||
2.79831 | 0.137034 | |||||||||
−0.800230 | + | 2.59732i | −0.0391405 | + | 0.127039i | |||||
0.805740 | − | 0.333748i | 0.0393630 | − | 0.0163047i | −0.362915 | − | 0.931822i | ||
0.402278 | + | 0.915518i | ||||||||
15.6373 | − | 2.96941i | 0.763022 | − | 0.144893i | |||||
−6.16886 | − | 14.8930i | −0.300652 | − | 0.725838i | −0.999940 | − | 0.0109977i | ||
0.699287 | − | 0.714841i | ||||||||
0.332796 | + | 3.53640i | 0.0162002 | + | 0.172149i | |||||
10.3320i | 0.502361i | |||||||||
−7.86452 | + | 2.27415i | −0.381935 | + | 0.110443i | |||||
−8.80622 | + | 8.80622i | −0.427164 | + | 0.427164i | |||||
42.1681 | − | 3.96826i | 2.04305 | − | 0.192263i | |||||
47.0739 | − | 19.4986i | 2.27807 | − | 0.943606i | |||||
−0.407073 | − | 0.620840i | −0.0196766 | − | 0.0300094i | |||||
−14.6210 | + | 5.50028i | −0.705907 | + | 0.265556i | |||||
5.90734 | + | 1.82004i | 0.284877 | + | 0.0877702i | |||||
1.57232 | + | 1.57232i | 0.0757361 | + | 0.0757361i | 0.743960 | − | 0.668224i | ||
−0.668224 | + | 0.743960i | ||||||||
0.403081 | + | 0.00700686i | 0.0193932 | + | 0.000337118i | |||||
−27.0551 | −1.30019 | −0.650094 | − | 0.759854i | ||||||
−0.650094 | + | 0.759854i | ||||||||
23.3720 | + | 44.1867i | 1.12189 | + | 2.12103i | |||||
0.339990 | − | 0.820808i | 0.0163013 | − | 0.0393547i | |||||
22.5712 | + | 34.4241i | 1.08096 | + | 1.64861i | |||||
2.98034 | + | 7.19518i | 0.142569 | + | 0.344192i | |||||
0.507743 | + | 5.39546i | 0.0242609 | + | 0.257805i | |||||
7.17594 | − | 7.17594i | 0.342489 | − | 0.342489i | −0.514813 | − | 0.857302i | ||
0.857302 | + | 0.514813i | ||||||||
0.381075 | − | 3.41246i | 0.0181670 | − | 0.162683i | |||||
−32.8882 | + | 32.8882i | −1.56610 | + | 1.56610i | |||||
10.4927 | + | 9.28580i | 0.499086 | + | 0.441680i | |||||
9.17145 | − | 22.1418i | 0.435749 | − | 1.05199i | −0.541653 | − | 0.840602i | ||
0.977402 | − | 0.211388i | ||||||||
25.6853 | − | 4.87747i | 1.21897 | − | 0.231474i | |||||
1.09848 | + | 2.65197i | 0.0520730 | + | 0.125715i | |||||
−10.9511 | + | 5.79243i | −0.518549 | + | 0.274280i | |||||
30.1816 | − | 30.1816i | 1.42754 | − | 1.42754i | |||||
−37.1930 | − | 8.41172i | −1.75721 | − | 0.397416i | |||||
1.55890 | − | 1.55890i | 0.0735689 | − | 0.0735689i | −0.669365 | − | 0.742934i | ||
0.742934 | + | 0.669365i | ||||||||
−5.58369 | + | 18.1231i | −0.263218 | + | 0.854330i | |||||
−4.88496 | + | 2.02342i | −0.230024 | + | 0.0952789i | |||||
1.02615 | − | 1.50722i | 0.0482661 | − | 0.0708937i | |||||
−49.1842 | + | 20.3728i | −2.31087 | + | 0.957196i | |||||
23.5313 | + | 19.4834i | 1.10438 | + | 0.914399i | |||||
−11.7486 | − | 0.386485i | −0.550781 | − | 0.0181187i | |||||
5.84015 | − | 4.66682i | 0.273490 | − | 0.218544i | |||||
−29.0570 | −1.35923 | −0.679614 | − | 0.733570i | ||||||
−0.679614 | + | 0.733570i | ||||||||
−29.4628 | + | 2.77262i | −1.37671 | + | 0.129556i | |||||
−0.105983 | + | 0.255865i | −0.00494685 | + | 0.0119428i | |||||
−5.39515 | − | 8.22833i | −0.251550 | − | 0.383648i | |||||
8.58483 | + | 3.55595i | 0.399835 | + | 0.165617i | 0.573534 | − | 0.819182i | ||
−0.173699 | + | 0.984799i | ||||||||
13.6553 | + | 25.8166i | 0.635304 | + | 1.20110i | |||||
16.3647 | − | 16.3647i | 0.760534 | − | 0.760534i | −0.215885 | − | 0.976419i | ||
0.976419 | + | 0.215885i | ||||||||
−1.53098 | + | 1.47867i | −0.0710741 | + | 0.0686453i | |||||
12.3811 | 0.574160 | |||||||||
−8.18816 | − | 15.4804i | −0.379309 | − | 0.717116i | |||||
−31.2231 | + | 12.9330i | −1.44483 | + | 0.598469i | −0.960965 | − | 0.276671i | ||
−0.483869 | + | 0.875141i | ||||||||
20.7345 | + | 5.02851i | 0.958454 | + | 0.232443i | |||||
−14.8439 | + | 35.8364i | −0.685430 | + | 1.65477i | |||||
2.60179 | + | 2.15422i | 0.120011 | + | 0.0993667i | |||||
−20.9264 | − | 20.9264i | −0.964235 | − | 0.964235i | |||||
−13.3909 | + | 24.2857i | −0.616367 | + | 1.11784i | |||||
11.3422i | 0.521513i | |||||||||
−15.3236 | + | 1.44204i | −0.703838 | + | 0.0662352i | |||||
−1.87793 | − | 4.53372i | −0.0861652 | − | 0.208021i | |||||
14.7424 | − | 21.6537i | 0.675716 | − | 0.992498i | |||||
−3.27723 | − | 7.91194i | −0.150054 | − | 0.362263i | |||||
−14.6953 | − | 27.7826i | −0.672146 | − | 1.27075i | |||||
10.5792 | + | 10.5792i | 0.483375 | + | 0.483375i | 0.906208 | − | 0.422832i | ||
−0.422832 | + | 0.906208i | ||||||||
−6.14895 | + | 7.16907i | −0.280660 | + | 0.327222i | |||||
−19.2978 | − | 0.634829i | −0.879905 | − | 0.0289457i | |||||
−3.34606 | − | 6.32601i | −0.152409 | − | 0.288142i | |||||
77.3195 | + | 32.0268i | 3.51816 | + | 1.45727i | |||||
−15.4239 | + | 2.92890i | −0.701088 | + | 0.133132i | |||||
0.0908036 | − | 0.219219i | 0.00412318 | − | 0.00995423i | |||||
2.91040 | + | 30.9269i | 0.132018 | + | 1.40287i | |||||
−22.1275 | −1.00269 | −0.501346 | − | 0.865247i | ||||||
−0.501346 | + | 0.865247i | ||||||||
−14.5989 | + | 26.4766i | −0.660862 | + | 1.19854i | |||||
12.2165i | 0.552449i | |||||||||
1.42466 | + | 15.1390i | 0.0643597 | + | 0.683909i | |||||
−10.8369 | + | 26.1627i | −0.489064 | + | 1.18071i | 0.466127 | + | 0.884718i | ||
−0.955192 | + | 0.295988i | ||||||||
14.2393 | + | 2.96124i | 0.641956 | + | 0.133503i | |||||
−0.559557 | − | 1.35089i | −0.0252012 | − | 0.0608410i | |||||
−4.96260 | + | 2.41955i | −0.223278 | + | 0.108861i | |||||
3.59184 | 0.161441 | |||||||||
−27.2026 | − | 11.8257i | −1.22143 | − | 0.530990i | |||||
58.4806i | 2.62321i | |||||||||
15.3460 | − | 49.8087i | 0.687670 | − | 2.23198i | |||||
−6.86454 | + | 16.5725i | −0.307299 | + | 0.741886i | 0.692492 | + | 0.721426i | ||
−0.999791 | + | 0.0204597i | ||||||||
7.14993 | + | 10.9046i | 0.319755 | + | 0.487669i | |||||
−18.7656 | − | 45.3043i | −0.838387 | − | 2.02405i | |||||
10.8483 | + | 8.98211i | 0.484182 | + | 0.400891i | |||||
14.1124 | + | 14.1124i | 0.629242 | + | 0.629242i | 0.947877 | − | 0.318636i | ||
−0.318636 | + | 0.947877i | ||||||||
4.42694 | − | 39.6425i | 0.197192 | − | 1.76582i | |||||
−3.59730 | −0.160078 | |||||||||
11.5140 | − | 13.9062i | 0.511860 | − | 0.618206i | |||||
−28.4565 | − | 14.0445i | −1.26380 | − | 0.623738i | |||||
−31.5999 | − | 21.5139i | −1.40202 | − | 0.954527i | |||||
8.34879 | − | 20.1558i | 0.370054 | − | 0.893388i | −0.623687 | − | 0.781674i | ||
0.993740 | − | 0.111714i | ||||||||
−3.03368 | − | 5.73544i | −0.134334 | − | 0.253969i | |||||
−7.48266 | −0.331013 | |||||||||
20.3574 | − | 9.87810i | 0.899678 | − | 0.436555i | |||||
−0.0771641 | − | 0.0771641i | −0.00340688 | − | 0.00340688i | |||||
6.43695 | − | 20.8925i | 0.283922 | − | 0.921530i | |||||
3.02295 | − | 7.29804i | 0.133207 | − | 0.321590i | |||||
17.5577 | − | 25.7889i | 0.772933 | − | 1.13529i | |||||
−2.37188 | + | 5.72623i | −0.104315 | + | 0.251839i | |||||
3.38214 | + | 35.9398i | 0.148603 | + | 1.57911i | |||||
−28.5385 | − | 28.5385i | −1.25270 | − | 1.25270i | |||||
5.58939 | − | 4.17288i | 0.245111 | − | 0.182993i | |||||
−12.6505 | + | 12.6505i | −0.554227 | + | 0.554227i | −0.927658 | − | 0.373431i | ||
0.373431 | + | 0.927658i | ||||||||
−1.71496 | − | 1.41995i | −0.0750617 | − | 0.0621494i | |||||
−4.54778 | − | 1.88375i | −0.198860 | − | 0.0823707i | 0.281031 | − | 0.959699i | ||
−0.479891 | + | 0.877328i | ||||||||
−25.8824 | − | 5.38259i | −1.13068 | − | 0.235139i | |||||
−48.7194 | − | 20.1802i | −2.12629 | − | 0.880738i | |||||
−39.1284 | + | 20.6965i | −1.70608 | + | 0.902408i | |||||
14.4086 | − | 14.4086i | 0.627650 | − | 0.627650i | |||||
−15.8934 | − | 6.90930i | −0.691673 | − | 0.300689i | |||||
− | 28.7353i | − | 1.24936i | |||||||
−2.67566 | − | 0.824367i | −0.116223 | − | 0.0358082i | |||||
−26.8021 | − | 11.1018i | −1.16311 | − | 0.481776i | |||||
5.65983 | + | 8.63200i | 0.245385 | + | 0.374245i | |||||
−9.78293 | − | 4.43447i | −0.423746 | − | 0.192078i | |||||
14.4240 | − | 1.35738i | 0.624188 | − | 0.0587397i | |||||
− | 0.253892i | − | 0.0109767i | |||||||
−6.39382 | − | 22.1112i | −0.276171 | − | 0.955059i | |||||
15.5131 | − | 15.5131i | 0.669438 | − | 0.669438i | |||||
−32.7004 | + | 3.07729i | −1.40981 | + | 0.132671i | |||||
−25.7773 | + | 10.6773i | −1.11031 | + | 0.459905i | |||||
0.113965 | + | 0.0775901i | 0.00490427 | + | 0.00333894i | |||||
1.16123 | + | 0.480999i | 0.0499253 | + | 0.0206797i | 0.407506 | − | 0.913202i | ||
−0.357581 | + | 0.933882i | ||||||||
26.6024 | − | 14.0710i | 1.14267 | − | 0.604402i | |||||
−20.2809 | −0.870337 | |||||||||
1.18718 | + | 15.4990i | 0.0508998 | + | 0.664513i | |||||
14.0777i | 0.603021i | |||||||||
−19.3236 | + | 56.0939i | −0.826973 | + | 2.40060i | |||||
35.9252 | − | 14.8807i | 1.53605 | − | 0.636253i | 0.555324 | − | 0.831634i | ||
0.980727 | + | 0.195381i | ||||||||
−15.2350 | + | 22.3773i | −0.650807 | + | 0.955911i | |||||
−29.2199 | − | 12.1033i | −1.24708 | − | 0.516555i | |||||
−7.25503 | + | 8.76236i | −0.309356 | + | 0.373628i | |||||
0.576154 | 0.0245450 | |||||||||
−47.7064 | + | 13.7951i | −2.03052 | + | 0.587158i | |||||
− | 21.2515i | − | 0.903705i | |||||||
14.2482 | + | 11.7972i | 0.605350 | + | 0.501216i | |||||
8.26050 | + | 3.42161i | 0.350639 | + | 0.145239i | |||||
−1.25715 | − | 1.91732i | −0.0533149 | − | 0.0813123i | |||||
−4.64040 | + | 11.2029i | −0.196620 | + | 0.474683i | −0.991183 | − | 0.132498i | ||
0.794563 | + | 0.607182i | ||||||||
9.13596 | − | 29.6528i | 0.386756 | − | 1.25530i | |||||
−16.8192 | + | 15.7478i | −0.711374 | + | 0.666062i | |||||
−9.05965 | − | 9.38019i | −0.382840 | − | 0.396385i | |||||
8.41840 | − | 8.41840i | 0.355425 | − | 0.355425i | |||||
−24.6472 | − | 7.59375i | −1.03968 | − | 0.320323i | |||||
25.1805 | − | 10.4301i | 1.06123 | − | 0.439577i | 0.217344 | − | 0.976095i | ||
0.843889 | + | 0.536518i | ||||||||
14.2572 | − | 9.34816i | 0.600336 | − | 0.393629i | |||||
0.576110 | − | 0.238632i | 0.0242371 | − | 0.0100393i | |||||
−6.18277 | − | 5.11919i | −0.259881 | − | 0.215176i | |||||
−43.4812 | −1.82604 | |||||||||
−21.6631 | − | 27.1096i | −0.908962 | − | 1.13749i | |||||
−19.1179 | + | 19.1179i | −0.801463 | + | 0.801463i | −0.983324 | − | 0.181861i | ||
0.181861 | + | 0.983324i | ||||||||
2.54538 | − | 0.239535i | 0.106614 | − | 0.0100330i | |||||
34.0120 | + | 14.0882i | 1.42336 | + | 0.589574i | 0.955702 | − | 0.294337i | ||
0.467656 | + | 0.883911i | ||||||||
10.3371 | + | 7.54684i | 0.432217 | + | 0.315549i | |||||
7.23875 | + | 17.4759i | 0.302403 | + | 0.730066i | |||||
−5.91278 | + | 19.1912i | −0.246795 | + | 0.801026i | |||||
32.5987i | 1.35946i | |||||||||
12.6326 | + | 20.0168i | 0.526360 | + | 0.834032i | |||||
1.11287 | + | 1.11287i | 0.0463293 | + | 0.0463293i | 0.729892 | − | 0.683563i | ||
−0.683563 | + | 0.729892i | ||||||||
12.7707 | + | 3.93463i | 0.531191 | + | 0.163659i | |||||
−16.4388 | + | 39.6868i | −0.683173 | + | 1.64933i | |||||
−0.715134 | + | 0.135799i | −0.0296943 | + | 0.00563875i | |||||
66.4853 | + | 27.5391i | 2.75828 | + | 1.14252i | |||||
−0.922446 | − | 0.763764i | −0.0382366 | − | 0.0316590i | |||||
− | 5.13730i | − | 0.212765i | |||||||
3.46870 | − | 2.77181i | 0.143536 | − | 0.114698i | |||||
4.98702 | + | 5.32629i | 0.206188 | + | 0.220215i | |||||
42.4716 | − | 3.99682i | 1.75448 | − | 0.165107i | |||||
−10.0510 | − | 24.2652i | −0.414848 | − | 1.00153i | −0.983818 | − | 0.179173i | ||
0.568969 | − | 0.822359i | ||||||||
75.1389 | + | 15.6261i | 3.09867 | + | 0.644409i | |||||
3.07264 | + | 7.41801i | 0.126606 | + | 0.305654i | |||||
−8.38383 | + | 4.43452i | −0.345157 | + | 0.182566i | |||||
−10.0908 | − | 10.0908i | −0.415078 | − | 0.415078i | |||||
−14.8811 | − | 15.4076i | −0.611609 | − | 0.633249i | |||||
0.990617 | + | 0.990617i | 0.0406798 | + | 0.0406798i | 0.727154 | − | 0.686474i | ||
−0.686474 | + | 0.727154i | ||||||||
−0.0744869 | + | 0.241763i | −0.00305623 | + | 0.00991967i | |||||
8.27678 | − | 3.42835i | 0.339315 | − | 0.140549i | |||||
−34.2386 | − | 7.12037i | −1.40247 | − | 0.291662i | |||||
−10.2070 | − | 4.22788i | −0.417745 | − | 0.173036i | |||||
36.6078 | − | 2.23382i | 1.49700 | − | 0.0913477i | |||||
−12.7082 | − | 12.7082i | −0.519242 | − | 0.519242i | 0.398100 | − | 0.917342i | ||
−0.917342 | + | 0.398100i | ||||||||
30.0600 | − | 8.69235i | 1.22720 | − | 0.354864i | |||||
10.1980 | + | 10.1980i | 0.415983 | + | 0.415983i | 0.883817 | − | 0.467833i | ||
−0.467833 | + | 0.883817i | ||||||||
33.1798 | + | 27.4721i | 1.35231 | + | 1.11968i | |||||
22.2445 | − | 9.21399i | 0.905868 | − | 0.375223i | |||||
36.0549 | + | 24.5470i | 1.46705 | + | 0.998805i | |||||
−4.96040 | − | 2.05466i | −0.201669 | − | 0.0835340i | |||||
−5.34591 | + | 17.3513i | −0.217163 | + | 0.704849i | |||||
27.2432i | 1.10577i | 0.833259 | + | 0.552883i | ||||||
−0.833259 | + | 0.552883i | ||||||||
−5.82127 | − | 1.90492i | −0.236084 | − | 0.0772546i | |||||
4.37796 | − | 4.37796i | 0.177404 | − | 0.177404i | |||||
−9.14013 | + | 4.83456i | −0.370073 | + | 0.195745i | |||||
−11.7846 | + | 4.43325i | −0.476752 | + | 0.179350i | |||||
−15.9749 | + | 3.03353i | −0.645748 | + | 0.122623i | |||||
−1.02866 | − | 2.48341i | −0.0415473 | − | 0.100304i | 0.901744 | − | 0.432271i | ||
−0.943291 | + | 0.331967i | ||||||||
−15.3409 | − | 12.7019i | −0.619107 | − | 0.512606i | |||||
3.51706 | + | 3.51706i | 0.141822 | + | 0.141822i | |||||
11.5541 | − | 20.9544i | 0.465526 | − | 0.844277i | |||||
0.0166708 | 0.000671140 | 0.000335570 | − | 1.00000i | ||||||
0.000335570 | 1.00000i | |||||||||
−30.7092 | − | 25.4265i | −1.23530 | − | 1.02280i | |||||
−0.177010 | + | 0.0733199i | −0.00711463 | + | 0.00294698i | −0.386238 | − | 0.922399i | ||
0.379123 | + | 0.925346i | ||||||||
−5.56224 | − | 8.48316i | −0.223385 | − | 0.340692i | |||||
0.277415 | + | 0.669740i | 0.0111323 | + | 0.0268757i | |||||
24.8731 | − | 13.1563i | 0.997320 | − | 0.527520i | |||||
20.0039i | 0.801438i | |||||||||
−11.8212 | − | 33.1613i | −0.473228 | − | 1.32751i | |||||
− | 18.2014i | − | 0.728057i | |||||||
−0.423085 | − | 0.799877i | −0.0169099 | − | 0.0319695i | |||||
1.79522 | + | 4.33405i | 0.0716943 | + | 0.173085i | |||||
−4.93690 | + | 23.7393i | −0.197004 | + | 0.947302i | |||||
13.5952 | − | 5.63131i | 0.542075 | − | 0.224535i | |||||
8.69988 | − | 10.5074i | 0.346612 | − | 0.418625i | |||||
3.70486 | 0.147488 | 0.0737440 | − | 0.997277i | ||||||
0.0737440 | + | 0.997277i | ||||||||
7.87222 | + | 9.85146i | 0.313140 | + | 0.391870i | |||||
4.33534 | + | 4.33534i | 0.172314 | + | 0.172314i | |||||
12.1032 | − | 14.6178i | 0.480680 | − | 0.580547i | |||||
−5.00309 | − | 12.0785i | −0.198542 | − | 0.479322i | |||||
−7.95255 | + | 11.6808i | −0.315339 | + | 0.463173i | |||||
−51.6233 | − | 23.4002i | −2.04539 | − | 0.927148i | |||||
−0.624495 | − | 1.18066i | −0.0247240 | − | 0.0467428i | |||||
25.6682 | − | 25.6682i | 1.01542 | − | 1.01542i | |||||
7.67446 | + | 0.992354i | 0.303360 | + | 0.0392262i | |||||
22.9808i | 0.907685i | 0.891082 | + | 0.453843i | ||||||
−0.891082 | + | 0.453843i | ||||||||
−1.22463 | − | 0.377306i | −0.0483322 | − | 0.0148911i | |||||
−10.5208 | − | 4.35785i | −0.414899 | − | 0.171857i | 0.165462 | − | 0.986216i | ||
−0.580361 | + | 0.814359i | ||||||||
−12.7922 | − | 67.3651i | −0.504082 | − | 2.65456i | |||||
9.85736 | − | 4.08305i | 0.388133 | − | 0.160770i | |||||
2.68345 | − | 3.24097i | 0.105579 | − | 0.127514i | |||||
−33.8281 | − | 33.8281i | −1.32992 | − | 1.32992i | −0.905436 | − | 0.424483i | ||
−0.424483 | − | 0.905436i | ||||||||
20.1564 | − | 16.1068i | 0.791818 | − | 0.632736i | |||||
−12.3057 | − | 12.3057i | −0.483040 | − | 0.483040i | |||||
−23.0667 | + | 1.40754i | −0.904751 | + | 0.0552083i | |||||
79.7141 | + | 33.0187i | 3.12424 | + | 1.29410i | |||||
8.37038 | − | 5.48829i | 0.327810 | − | 0.214938i | |||||
26.2471 | − | 10.8719i | 1.02713 | − | 0.425451i | 0.195453 | − | 0.980713i | ||
0.831675 | + | 0.555263i | ||||||||
67.9026 | + | 20.9207i | 2.65520 | + | 0.818063i | |||||
−6.39290 | − | 6.39290i | −0.249791 | − | 0.249791i | |||||
−4.36807 | − | 11.0867i | −0.170545 | − | 0.432862i | |||||
3.28427 | + | 3.28427i | 0.128132 | + | 0.128132i | |||||
11.0063 | + | 20.8083i | 0.429069 | + | 0.811190i | |||||
10.8417 | + | 26.1741i | 0.422332 | + | 1.01960i | 0.981658 | + | 0.190651i | ||
−0.559326 | + | 0.828948i | ||||||||
−3.24980 | − | 4.95638i | −0.126498 | − | 0.192927i | |||||
−3.39761 | − | 8.20256i | −0.132152 | − | 0.319043i | 0.843928 | − | 0.536457i | ||
−0.976079 | + | 0.217414i | ||||||||
−2.24014 | − | 23.8045i | −0.0870656 | − | 0.925189i | |||||
24.1719 | + | 0.795170i | 0.938760 | + | 0.0308818i | |||||
−41.0217 | + | 11.8621i | −1.59195 | + | 0.460338i | |||||
3.53005i | 0.136889i | |||||||||
14.2902 | − | 17.2591i | 0.553732 | − | 0.668778i | |||||
−3.53602 | − | 1.46467i | −0.136915 | − | 0.0567122i | |||||
−22.6106 | + | 33.2107i | −0.874832 | + | 1.28496i | |||||
−8.18323 | + | 19.7561i | −0.316382 | + | 0.763813i | |||||
2.31772 | − | 7.52267i | 0.0895414 | − | 0.290626i | |||||
−13.4158 | − | 13.4158i | −0.517910 | − | 0.517910i | |||||
−58.7081 | + | 29.7587i | −2.26471 | + | 1.14797i | |||||
− | 32.8253i | − | 1.26532i | −0.774429 | − | 0.632661i | ||||
0.774429 | − | 0.632661i | ||||||||
−26.7865 | − | 8.25288i | −1.03178 | − | 0.317889i | |||||
−0.174801 | − | 0.422006i | −0.00672809 | − | 0.0162430i | |||||
3.16129 | + | 25.8071i | 0.121588 | + | 0.992581i | |||||
−29.4862 | − | 12.2136i | −1.13325 | − | 0.469406i | −0.264363 | − | 0.964423i | ||
−0.868883 | + | 0.495017i | ||||||||
−0.294876 | − | 3.13345i | −0.0113246 | − | 0.120339i | |||||
1.16925 | − | 1.16925i | 0.0448719 | − | 0.0448719i | |||||
−2.56686 | + | 4.65525i | −0.0984346 | + | 0.178521i | |||||
52.7323 | 2.02071 | |||||||||
11.8706 | − | 14.3369i | 0.454549 | − | 0.548987i | |||||
−22.7829 | + | 9.43698i | −0.871763 | + | 0.361096i | −0.773297 | − | 0.634044i | ||
−0.0984662 | + | 0.995140i | ||||||||
1.30454 | − | 6.27294i | 0.0498803 | − | 0.239852i | |||||
−8.55335 | + | 3.54291i | −0.326807 | + | 0.135368i | |||||
−17.3074 | + | 56.1750i | −0.660800 | + | 2.14477i | |||||
−36.1189 | + | 36.1189i | −1.37802 | + | 1.37802i | |||||
−25.5576 | − | 0.444275i | −0.974374 | − | 0.0169378i | |||||
7.61805 | − | 7.13280i | 0.290224 | − | 0.271738i | |||||
−16.2307 | − | 5.00064i | −0.617891 | − | 0.190371i | |||||
3.99662 | − | 9.64869i | 0.152039 | − | 0.367054i | −0.829448 | − | 0.558584i | ||
0.981487 | + | 0.191530i | ||||||||
−6.73274 | + | 32.3747i | −0.255941 | + | 1.23070i | |||||
23.1256 | + | 9.57892i | 0.878467 | + | 0.363873i | |||||
18.4448 | − | 22.2769i | 0.700154 | − | 0.845620i | |||||
− | 0.784084i | − | 0.0297420i | |||||||
−0.407736 | + | 3.65121i | −0.0154552 | + | 0.138399i | |||||
8.18604 | 0.310068 | |||||||||
10.8069 | + | 8.94784i | 0.409046 | + | 0.338681i | |||||
−27.9271 | − | 11.5678i | −1.05630 | − | 0.437534i | |||||
8.06041 | + | 42.4471i | 0.304655 | + | 1.60435i | |||||
2.60641 | − | 1.07961i | 0.0984428 | − | 0.0407763i | −0.332919 | − | 0.942956i | ||
0.431361 | + | 0.902179i | ||||||||
−0.461928 | + | 0.225216i | −0.0174343 | + | 0.00850024i | |||||
5.79834i | 0.218689i | |||||||||
2.40611 | + | 13.9937i | 0.0906838 | + | 0.527408i | |||||
5.83046 | 0.219588 | |||||||||
1.90179 | + | 3.59550i | 0.0715750 | + | 0.135318i | |||||
−23.1608 | − | 9.59350i | −0.871050 | − | 0.360801i | |||||
8.93045 | + | 47.0288i | 0.335627 | + | 1.76745i | |||||
15.7303 | − | 6.51571i | 0.590764 | − | 0.244703i | −0.0672152 | − | 0.997739i | ||
0.657979 | + | 0.753036i | ||||||||
−1.11190 | − | 11.8155i | −0.0417290 | − | 0.443427i | |||||
−9.32766 | + | 9.32766i | −0.349815 | + | 0.349815i | |||||
−7.41006 | − | 9.27310i | −0.277704 | − | 0.347524i | |||||
− | 53.3375i | − | 1.99751i | |||||||
−4.23638 | − | 45.0173i | −0.158543 | − | 1.68473i | |||||
1.54118 | + | 4.09679i | 0.0576367 | + | 0.153211i | |||||
−17.5984 | − | 3.65981i | −0.657682 | − | 0.136773i | |||||
−50.1206 | − | 20.7606i | −1.87179 | − | 0.775320i | |||||
−2.40341 | + | 7.80080i | −0.0896945 | + | 0.291123i | |||||
− | 7.89011i | − | 0.294252i | −0.989118 | − | 0.147126i | ||||
0.989118 | − | 0.147126i | ||||||||
−0.140693 | + | 8.09358i | −0.00524332 | + | 0.301630i | |||||
38.9257 | − | 38.9257i | 1.44967 | − | 1.44967i | |||||
−11.7882 | − | 22.2865i | −0.438710 | − | 0.829418i | |||||
−11.4123 | − | 4.72713i | −0.424428 | − | 0.175804i | |||||
9.11125 | + | 13.8959i | 0.338617 | + | 0.516436i | |||||
2.22807 | + | 0.922895i | 0.0827483 | + | 0.0342755i | |||||
−17.2821 | + | 20.8727i | −0.641399 | + | 0.774659i | |||||
25.8773 | − | 25.8773i | 0.959735 | − | 0.959735i | −0.0394856 | − | 0.999220i | ||
0.999220 | + | 0.0394856i | ||||||||
47.1151 | − | 11.9604i | 1.74620 | − | 0.443282i | |||||
18.5628 | + | 18.5628i | 0.687511 | + | 0.687511i | |||||
1.51180 | − | 0.142269i | 0.0559544 | − | 0.00526563i | |||||
6.71991 | − | 16.2233i | 0.248545 | − | 0.600040i | |||||
9.73607 | + | 51.2713i | 0.359856 | + | 1.89504i | |||||
−5.72801 | + | 13.8286i | −0.211569 | + | 0.510773i | −0.993665 | − | 0.112386i | ||
0.782096 | + | 0.623158i | ||||||||
−7.46257 | − | 2.29921i | −0.275449 | − | 0.0848652i | |||||
18.5591 | + | 18.5591i | 0.684563 | + | 0.684563i | |||||
30.8842 | + | 26.4895i | 1.13841 | + | 0.976417i | |||||
14.4436 | 0.532037 | |||||||||
11.0186 | − | 5.82815i | 0.405600 | − | 0.214537i | |||||
4.11332 | − | 9.93043i | 0.151311 | − | 0.365297i | −0.829990 | − | 0.557779i | ||
0.981300 | + | 0.192482i | ||||||||
−1.36666 | − | 7.19702i | −0.0502396 | − | 0.264568i | |||||
−3.93437 | + | 8.67966i | −0.144533 | + | 0.318855i | |||||
−15.0284 | − | 12.4432i | −0.551711 | − | 0.456804i | |||||
34.0245 | 1.24824 | 0.624118 | − | 0.781330i | ||||||
0.624118 | + | 0.781330i | ||||||||
−49.1839 | + | 14.2223i | −1.80317 | + | 0.521415i | |||||
−8.45686 | − | 8.45686i | −0.309835 | − | 0.309835i | |||||
−11.8889 | + | 14.3589i | −0.435282 | + | 0.525718i | |||||
−17.0942 | − | 41.2691i | −0.625444 | − | 1.50996i | |||||
−9.55003 | − | 1.98605i | −0.349184 | − | 0.0726172i | |||||
0.677094 | − | 1.63465i | 0.0247405 | − | 0.0597288i | |||||
21.5097 | + | 6.62710i | 0.785424 | + | 0.241988i | |||||
28.2172i | 1.02966i | 0.857292 | + | 0.514830i | ||||||
−0.857292 | + | 0.514830i | ||||||||
−12.8102 | − | 5.56892i | −0.467139 | − | 0.203078i | |||||
24.3104 | 0.885919 | |||||||||
0.883718 | − | 2.56532i | 0.0321831 | − | 0.0934235i | |||||
5.70844 | + | 13.7814i | 0.207751 | + | 0.501556i | |||||
0.526827 | + | 0.803482i | 0.0191605 | + | 0.0292224i | |||||
8.60430 | − | 20.7726i | 0.312729 | − | 0.754994i | −0.686873 | − | 0.726777i | ||
0.999602 | − | 0.0282165i | ||||||||
−38.2447 | + | 3.59905i | −1.38911 | + | 0.130723i | |||||
− | 31.1630i | − | 1.13115i | |||||||
−1.30764 | − | 1.63641i | −0.0474331 | − | 0.0593587i | |||||
−6.99161 | −0.253446 | −0.126723 | − | 0.991938i | ||||||
−0.126723 | + | 0.991938i | ||||||||
−65.6949 | + | 6.18226i | −2.37987 | + | 0.223960i | |||||
−37.5432 | + | 90.6373i | −1.35915 | + | 3.28129i | |||||
8.72194 | − | 12.8109i | 0.315549 | − | 0.463481i | |||||
−5.13760 | − | 2.12806i | −0.185750 | − | 0.0769402i | |||||
−33.2731 | + | 17.5994i | −1.20221 | + | 0.635891i | |||||
1.16235 | − | 35.3335i | 0.0419699 | − | 1.27582i | |||||
16.1915 | − | 35.5425i | 0.584259 | − | 1.28253i | |||||
38.7943 | + | 38.7943i | 1.39896 | + | 1.39896i | 0.803064 | + | 0.595893i | ||
0.595893 | + | 0.803064i | ||||||||
7.23379 | − | 3.82622i | 0.260688 | − | 0.137887i | |||||
−14.4406 | − | 34.8626i | −0.520064 | − | 1.25555i | |||||
34.5774 | − | 6.56600i | 1.24447 | − | 0.236316i | |||||
−18.4367 | − | 44.5102i | −0.663123 | − | 1.60092i | −0.792883 | − | 0.609375i | ||
0.129760 | − | 0.991545i | ||||||||
−2.50521 | − | 26.6213i | −0.0900480 | − | 0.956881i | |||||
33.6082i | 1.20724i | |||||||||
−0.108897 | + | 0.975155i | −0.00390918 | + | 0.0350060i | |||||
44.0592 | + | 44.0592i | 1.58062 | + | 1.58062i | |||||
3.88262 | − | 4.68928i | 0.139199 | − | 0.168119i | |||||
−1.23438 | + | 2.98005i | −0.0442261 | + | 0.106771i | |||||
2.83763 | − | 11.7007i | 0.101604 | − | 0.418952i | |||||
20.1184 | − | 8.33331i | 0.719892 | − | 0.298189i | |||||
−24.7081 | + | 13.0691i | −0.883561 | + | 0.467348i | |||||
0.0536295 | 0.00191656 | |||||||||
−23.0498 | − | 58.5030i | −0.823206 | − | 2.08939i | |||||
−5.86355 | + | 5.86355i | −0.209279 | + | 0.209279i | |||||
−40.3361 | + | 21.3352i | −1.43874 | + | 0.761003i | |||||
47.2043 | + | 19.5527i | 1.68265 | + | 0.696977i | 0.999447 | − | 0.0332494i | ||
0.683205 | + | 0.730227i | ||||||||
−2.38059 | + | 11.4472i | −0.0848050 | + | 0.407789i | |||||
−29.2388 | + | 70.5887i | −1.04093 | + | 2.51302i | |||||
0.404059 | + | 4.29368i | 0.0143758 | + | 0.152762i | |||||
4.34560 | 0.154512 | |||||||||
−14.2686 | + | 4.12598i | −0.507011 | + | 0.146610i | |||||
1.26720 | − | 38.5210i | 0.0449997 | − | 1.36792i | |||||
14.5851 | − | 17.6154i | 0.517607 | − | 0.625147i | |||||
−4.46478 | + | 1.84937i | −0.158349 | + | 0.0655905i | |||||
1.68871 | + | 8.89293i | 0.0598546 | + | 0.315202i | |||||
15.2942 | − | 6.33507i | 0.541749 | − | 0.224400i | −0.0949914 | − | 0.995478i | ||
0.636740 | + | 0.771078i | ||||||||
17.0269 | + | 5.24596i | 0.602746 | + | 0.185705i | |||||
6.78526 | − | 6.78526i | 0.240045 | − | 0.240045i | |||||
−19.4603 | − | 16.6912i | −0.688025 | − | 0.590123i | |||||
8.78006 | − | 8.78006i | 0.310228 | − | 0.310228i | |||||
−9.78311 | − | 18.4958i | −0.345454 | − | 0.653109i | |||||
1.06626 | + | 2.57417i | 0.0376274 | + | 0.0908405i | |||||
−32.8407 | − | 22.3587i | −1.15820 | − | 0.788531i | |||||
8.97389 | − | 21.6649i | 0.316288 | − | 0.763587i | |||||
37.7415 | − | 2.30300i | 1.32939 | − | 0.0811198i | |||||
−40.0879 | + | 40.0879i | −1.41116 | + | 1.41116i | |||||
14.2903 | − | 4.13226i | 0.502730 | − | 0.145372i | |||||
−1.94906 | + | 1.94906i | −0.0685251 | + | 0.0685251i | −0.740539 | − | 0.672014i | ||
0.672014 | + | 0.740539i | ||||||||
8.78500 | − | 0.826718i | 0.308673 | − | 0.0290479i | |||||
8.60460 | + | 20.7733i | 0.302148 | + | 0.729450i | 0.999914 | + | 0.0131243i | ||
−0.697766 | + | 0.716326i | ||||||||
−4.96645 | − | 1.03284i | −0.174288 | − | 0.0362455i | |||||
19.8788 | − | 47.9916i | 0.697178 | − | 1.68314i | |||||
11.8820 | − | 6.28484i | 0.416464 | − | 0.220283i | |||||
3.42306 | 0.119904 | |||||||||
18.6397 | + | 19.2992i | 0.652519 | + | 0.675606i | |||||
4.89264 | + | 4.89264i | 0.171172 | + | 0.171172i | |||||
2.71470 | − | 8.81117i | 0.0949174 | − | 0.308075i | |||||
17.9038 | + | 47.5923i | 0.625610 | + | 1.66301i | |||||
0.829738 | − | 3.98984i | 0.0289757 | − | 0.139331i | |||||
−1.48193 | + | 0.613835i | −0.0517197 | + | 0.0214230i | −0.408393 | − | 0.912806i | ||
0.356674 | + | 0.934229i | ||||||||
4.37794 | + | 46.5215i | 0.152698 | + | 1.62262i | |||||
9.33507 | − | 9.33507i | 0.325400 | − | 0.325400i | −0.525434 | − | 0.850834i | ||
0.850834 | + | 0.525434i | ||||||||
−3.62530 | + | 32.4639i | −0.126293 | + | 1.13093i | |||||
19.6360i | 0.683637i | |||||||||
−65.8044 | + | 6.19257i | −2.28963 | + | 0.215467i | |||||
19.7431 | + | 47.6641i | 0.686536 | + | 1.65744i | 0.751647 | + | 0.659566i | ||
−0.0651107 | + | 0.997878i | ||||||||
−23.9531 | + | 35.1825i | −0.832427 | + | 1.22268i | |||||
−3.28374 | + | 1.36017i | −0.114049 | + | 0.0472406i | −0.438978 | − | 0.898498i | ||
0.324929 | + | 0.945738i | ||||||||
−13.9564 | − | 4.29994i | −0.484433 | − | 0.149253i | |||||
31.9295 | 1.10762 | |||||||||
−17.4104 | + | 22.9973i | −0.603597 | + | 0.797289i | |||||
43.1967 | 1.49668 | |||||||||
−3.78197 | − | 1.16522i | −0.130959 | − | 0.0403482i | |||||
−12.6942 | + | 5.25813i | −0.439302 | + | 0.181965i | |||||
2.16306 | − | 3.17712i | 0.0748109 | − | 0.109883i | |||||
0.286007 | + | 0.690482i | 0.00988585 | + | 0.0238665i | |||||
−1.22795 | + | 0.115557i | −0.0424187 | + | 0.00399185i | |||||
51.0263i | 1.76162i | 0.473466 | + | 0.880812i | ||||||
−0.473466 | + | 0.880812i | ||||||||
−22.3706 | − | 2.49816i | −0.771859 | − | 0.0861948i | |||||
20.3059 | − | 20.3059i | 0.700203 | − | 0.700203i | |||||
2.13591 | + | 22.6969i | 0.0736082 | + | 0.782186i | |||||
−41.1279 | + | 17.0357i | −1.41652 | + | 0.586741i | |||||
1.02278 | − | 4.91810i | 0.0352056 | − | 0.169288i | |||||
−3.93526 | + | 7.97351i | −0.135377 | + | 0.274297i | |||||
4.30227 | − | 13.9640i | 0.147915 | − | 0.480091i | |||||
−26.4574 | − | 26.4574i | −0.909086 | − | 0.909086i | |||||
11.5760 | + | 0.201229i | 0.397522 | + | 0.00691024i | |||||
−13.8553 | −0.475511 | |||||||||
15.5687 | − | 8.23487i | 0.534003 | − | 0.282454i | |||||
14.7402 | − | 35.5861i | 0.505289 | − | 1.21988i | |||||
−58.6435 | − | 12.1957i | −2.00909 | − | 0.417817i | |||||
3.43022 | + | 8.28129i | 0.117449 | + | 0.283546i | 0.971661 | − | 0.236378i | ||
−0.854213 | + | 0.519924i | ||||||||
−71.7406 | + | 6.75120i | −2.45491 | + | 0.231021i | |||||
1.54940 | − | 1.54940i | 0.0529884 | − | 0.0529884i | |||||
0.291649 | + | 1.00858i | 0.00996834 | + | 0.0344727i | |||||
−12.9270 | + | 12.9270i | −0.441577 | + | 0.441577i | −0.892542 | − | 0.450965i | ||
0.450965 | + | 0.892542i | ||||||||
22.0509 | − | 1.34555i | 0.752805 | − | 0.0459365i | |||||
−8.50209 | + | 20.5259i | −0.290087 | + | 0.700333i | −0.999992 | − | 0.00396469i | ||
0.709905 | + | 0.704298i | ||||||||
−7.22603 | − | 4.91965i | −0.246406 | − | 0.167759i | |||||
13.2646 | + | 32.0237i | 0.452058 | + | 1.09136i | |||||
−1.47031 | − | 2.77974i | −0.0500790 | − | 0.0946785i | |||||
−14.4774 | + | 14.4774i | −0.492818 | + | 0.492818i | −0.909193 | − | 0.416375i | ||
0.416375 | + | 0.909193i | ||||||||
−0.541854 | − | 0.177313i | −0.0184343 | − | 0.00603232i | |||||
−7.99648 | + | 7.99648i | −0.271888 | + | 0.271888i | |||||
36.5656 | + | 11.2658i | 1.24255 | + | 0.382827i | |||||
21.3100 | − | 8.82690i | 0.723726 | − | 0.299777i | |||||
−13.1883 | − | 69.4514i | −0.447642 | − | 2.35734i | |||||
−7.31090 | + | 3.02827i | −0.248005 | + | 0.102727i | |||||
−0.801289 | + | 0.967767i | −0.0271662 | + | 0.0328104i | |||||
20.0540 | + | 21.4183i | 0.679503 | + | 0.725730i | |||||
−16.1712 | − | 55.9235i | −0.547626 | − | 1.89381i | |||||
−1.02641 | −0.0347388 | |||||||||
−1.03191 | − | 10.9655i | −0.0349049 | − | 0.370912i | |||||
−11.8927 | + | 28.7114i | −0.402045 | + | 0.970624i | |||||
1.56045 | − | 7.50350i | 0.0527227 | − | 0.253520i | |||||
37.4110 | + | 15.4961i | 1.26328 | + | 0.523268i | 0.910915 | − | 0.412595i | ||
0.352365 | + | 0.935863i | ||||||||
−12.6865 | + | 6.71036i | −0.428149 | + | 0.226464i | |||||
52.0666 | − | 52.0666i | 1.75616 | − | 1.75616i | |||||
−1.93598 | + | 4.45333i | −0.0652620 | + | 0.150122i | |||||
−28.3568 | −0.955365 | −0.477682 | − | 0.878533i | ||||||
−0.477682 | + | 0.878533i | ||||||||
58.1438 | − | 30.7544i | 1.95780 | − | 1.03555i | |||||
−34.8429 | + | 14.4324i | −1.17256 | + | 0.485688i | −0.882037 | − | 0.471181i | ||
−0.290519 | + | 0.956869i | ||||||||
−10.3145 | − | 16.9191i | −0.346913 | − | 0.569052i | |||||
−6.26484 | + | 15.1247i | −0.210590 | + | 0.508410i | |||||
−21.6153 | + | 26.1062i | −0.726180 | + | 0.877054i | |||||
14.3416 | + | 14.3416i | 0.481545 | + | 0.481545i | 0.905625 | − | 0.424080i | ||
−0.424080 | + | 0.905625i | ||||||||
−36.7453 | − | 4.10341i | −1.23309 | − | 0.137701i | |||||
− | 91.1085i | − | 3.05568i | |||||||
−0.380338 | − | 4.04160i | −0.0127490 | − | 0.135475i | |||||
6.19594 | + | 14.9583i | 0.207572 | + | 0.501123i | |||||
17.2126 | − | 3.26855i | 0.576320 | − | 0.109439i | |||||
1.44696 | + | 3.49326i | 0.0484206 | + | 0.116898i | |||||
−53.3587 | + | 28.2234i | −1.78458 | + | 0.943931i | |||||
−4.34675 | − | 4.34675i | −0.145296 | − | 0.145296i | |||||
46.7645 | + | 26.8558i | 1.56229 | + | 0.897191i | |||||
46.2113 | − | 43.2678i | 1.54295 | − | 1.44467i | |||||
−2.75601 | + | 1.45776i | −0.0919693 | + | 0.0486460i | |||||
−3.64553 | − | 1.51003i | −0.121585 | − | 0.0503623i | |||||
15.0929 | − | 22.1687i | 0.503098 | − | 0.738956i | |||||
−3.04371 | + | 7.34816i | −0.101401 | + | 0.244803i | |||||
7.44468 | − | 0.700587i | 0.247881 | − | 0.0233270i | |||||
74.3542 | 2.47435 | |||||||||
−2.01447 | + | 1.60975i | −0.0670004 | + | 0.0535395i | |||||
5.68270i | 0.188899i | |||||||||
74.9567 | − | 7.05386i | 2.49027 | − | 0.234349i | |||||
22.1387 | − | 53.4474i | 0.735102 | − | 1.77469i | 0.110317 | − | 0.993897i | ||
0.624785 | − | 0.780797i | ||||||||
−23.6901 | − | 36.1306i | −0.786184 | − | 1.19904i | |||||
5.95492 | + | 14.3764i | 0.197512 | + | 0.476836i | |||||
15.7175 | + | 5.41446i | 0.521030 | + | 0.179488i | |||||
−35.7122 | −1.18320 | −0.591600 | − | 0.806232i | ||||||
−0.591600 | + | 0.806232i | ||||||||
−9.83636 | + | 3.87546i | −0.325714 | + | 0.128329i | |||||
− | 26.7964i | − | 0.886832i | |||||||
39.2711 | + | 12.0994i | 1.29897 | + | 0.400212i | |||||
−6.82999 | + | 16.4891i | −0.225793 | + | 0.545112i | |||||
40.9741 | + | 8.52109i | 1.35382 | + | 0.281545i | |||||
−24.1109 | − | 58.2088i | −0.796211 | − | 1.92222i | |||||
0.249781 | − | 0.301676i | 0.00824399 | − | 0.00995679i | |||||
33.1467 | + | 33.1467i | 1.09341 | + | 1.09341i | 0.995162 | + | 0.0982462i | ||
0.0982462 | + | 0.995162i | ||||||||
3.86538 | + | 13.3673i | 0.127438 | + | 0.440707i | |||||
−34.3780 | −1.13280 | |||||||||
−10.1219 | − | 8.38068i | −0.333346 | − | 0.276003i | |||||
40.2904 | + | 18.2631i | 1.32617 | + | 0.601137i | |||||
−7.70544 | − | 40.5778i | −0.253490 | − | 1.33491i | |||||
−9.28790 | + | 22.4230i | −0.305384 | + | 0.737263i | |||||
−28.9316 | + | 15.3030i | −0.950752 | + | 0.502888i | |||||
−34.1704 | −1.12230 | |||||||||
2.68487 | − | 1.36094i | 0.0881353 | − | 0.0446752i | |||||
−28.8546 | − | 28.8546i | −0.946690 | − | 0.946690i | 0.0519589 | − | 0.998649i | ||
−0.998649 | + | 0.0519589i | ||||||||
−16.7333 | − | 5.15551i | −0.548707 | − | 0.169056i | |||||
−6.51365 | + | 15.7253i | −0.213476 | + | 0.515377i | |||||
4.62042 | + | 24.3317i | 0.151347 | + | 0.797010i | |||||
18.5865 | − | 44.8718i | 0.608494 | − | 1.46904i | |||||
47.5840 | − | 4.47793i | 1.55700 | − | 0.146522i | |||||
−2.35883 | − | 2.35883i | −0.0771421 | − | 0.0771421i | |||||
−25.9293 | − | 15.4300i | −0.847525 | − | 0.504346i | |||||
16.1062 | − | 16.1062i | 0.526167 | − | 0.526167i | −0.393261 | − | 0.919427i | ||
0.919427 | + | 0.393261i | ||||||||
34.9842 | − | 42.2527i | 1.14228 | − | 1.37960i | |||||
−1.44300 | − | 0.597710i | −0.0470905 | − | 0.0195055i | |||||
−2.61935 | − | 3.99486i | −0.0854338 | − | 0.130298i | |||||
−28.1343 | − | 11.6536i | −0.917150 | − | 0.379896i | −0.126361 | − | 0.991984i | ||
−0.790790 | + | 0.612088i | ||||||||
19.5687 | + | 36.9962i | 0.637581 | + | 1.20540i | |||||
15.1514 | − | 15.1514i | 0.493399 | − | 0.493399i | |||||
28.2107 | − | 27.2467i | 0.918181 | − | 0.886805i | |||||
0.328583i | 0.0106888i | |||||||||
4.72289 | − | 15.3292i | 0.153554 | − | 0.498394i | |||||
20.6361 | + | 8.54775i | 0.670583 | + | 0.277764i | 0.691884 | − | 0.722009i | ||
−0.0213014 | + | 0.999773i | ||||||||
21.3107 | + | 4.43183i | 0.692139 | + | 0.143939i | |||||
−2.33678 | + | 5.15520i | −0.0758552 | + | 0.167345i | |||||
0.650213 | + | 6.90938i | 0.0210957 | + | 0.224170i | |||||
− | 32.7577i | − | 1.06224i | |||||||
−28.9413 | + | 23.1268i | −0.937992 | + | 0.749542i | |||||
34.8685 | − | 34.8685i | 1.12950 | − | 1.12950i | 0.139243 | − | 0.990258i | ||
0.990258 | − | 0.139243i | ||||||||
1.13471 | + | 12.0578i | 0.0367375 | + | 0.390386i | |||||
4.89674 | − | 2.02830i | 0.158455 | − | 0.0656341i | |||||
8.29224 | + | 43.6679i | 0.268190 | + | 1.41232i | |||||
−2.12994 | − | 0.882251i | −0.0688513 | − | 0.0285191i | |||||
−9.89281 | − | 18.7032i | −0.319622 | − | 0.604272i | |||||
−64.5181 | −2.08340 | |||||||||
11.2956 | − | 7.12872i | 0.364565 | − | 0.230078i | |||||
− | 23.9894i | − | 0.773851i | |||||||
25.8171 | + | 8.89362i | 0.832376 | + | 0.286742i | |||||
−1.01467 | + | 0.420289i | −0.0326972 | + | 0.0135436i | |||||
1.88811 | + | 9.94304i | 0.0608121 | + | 0.320244i | |||||
11.1202 | + | 4.60614i | 0.357972 | + | 0.148277i | |||||
−91.1630 | − | 75.4808i | −2.93312 | − | 2.42856i | |||||
26.6348 | 0.856518 | 0.428259 | − | 0.903656i | ||||||
0.428259 | + | 0.903656i | ||||||||
22.0654 | + | 2.46408i | 0.709208 | + | 0.0791985i | |||||
− | 7.26285i | − | 0.233316i | |||||||
−0.214006 | + | 0.258469i | −0.00687132 | + | 0.00829893i | |||||
23.4336 | + | 9.70652i | 0.752021 | + | 0.311497i | 0.725566 | − | 0.688153i | ||
0.0264550 | + | 0.999650i | ||||||||
8.94455 | − | 43.0103i | 0.286896 | − | 1.37956i | |||||
2.09104 | − | 5.04822i | 0.0670357 | − | 0.161839i | |||||
29.9057 | + | 9.21391i | 0.958242 | + | 0.295233i | |||||
−29.1180 | + | 27.2632i | −0.932521 | + | 0.873122i | |||||
30.7556 | − | 29.7046i | 0.984464 | − | 0.950822i | |||||
−19.4680 | + | 19.4680i | −0.622838 | + | 0.622838i | −0.946256 | − | 0.323418i | ||
0.323418 | + | 0.946256i | ||||||||
5.08697 | − | 16.5109i | 0.162663 | − | 0.527959i | |||||
6.88169 | − | 2.85049i | 0.219940 | − | 0.0911020i | |||||
4.37842 | − | 21.0539i | 0.139864 | − | 0.672541i | |||||
56.2607 | − | 23.3040i | 1.79627 | − | 0.744038i | |||||
25.5405 | − | 30.8469i | 0.815031 | − | 0.984365i | |||||
−37.8510 | −1.20726 | −0.603629 | − | 0.797265i | ||||||
−0.603629 | + | 0.797265i | ||||||||
−18.0116 | − | 9.93143i | −0.574189 | − | 0.316602i | |||||
−2.82742 | + | 2.82742i | −0.0900892 | + | 0.0900892i | |||||
0.193741 | + | 2.05876i | 0.00616996 | + | 0.0655642i | |||||
37.5387 | + | 15.5490i | 1.19487 | + | 0.494931i | |||||
7.71457 | − | 1.20364i | 0.245433 | − | 0.0382930i | |||||
−17.5897 | − | 42.4653i | −0.559320 | − | 1.35032i | |||||
−4.85444 | − | 1.49565i | −0.154284 | − | 0.0475347i | |||||
31.2350i | 0.992212i | 0.868262 | + | 0.496106i | ||||||
−0.868262 | + | 0.496106i | ||||||||
31.8407 | + | 27.3099i | 1.01094 | + | 0.867091i | |||||
−29.1824 | − | 29.1824i | −0.926074 | − | 0.926074i | |||||
24.3514 | − | 79.0377i | 0.772379 | − | 2.50692i | |||||
−1.18465 | + | 2.86000i | −0.0375560 | + | 0.0906681i | |||||
−41.4808 | + | 60.9275i | −1.31437 | + | 1.93056i | |||||
−23.4901 | − | 9.72991i | −0.743938 | − | 0.308149i | −0.0216727 | − | 0.999765i | ||
−0.722266 | + | 0.691616i | ||||||||
16.1784 | − | 19.5396i | 0.512117 | − | 0.618517i | |||||
0.539720i | 0.0170760i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 416.2.bd.a.411.5 | yes | 216 | |
13.5 | odd | 4 | 416.2.bi.a.187.24 | yes | 216 | ||
32.19 | odd | 8 | 416.2.bi.a.307.24 | yes | 216 | ||
416.83 | even | 8 | inner | 416.2.bd.a.83.5 | ✓ | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
416.2.bd.a.83.5 | ✓ | 216 | 416.83 | even | 8 | inner | |
416.2.bd.a.411.5 | yes | 216 | 1.1 | even | 1 | trivial | |
416.2.bi.a.187.24 | yes | 216 | 13.5 | odd | 4 | ||
416.2.bi.a.307.24 | yes | 216 | 32.19 | odd | 8 |