Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(263,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.263");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 637.g (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: |
Embedding invariants
Embedding label | 263.3 | ||
Root | of defining polynomial | ||
Character | 637.263 | ||
Dual form | 637.2.g.l.373.3 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.134063 | − | 0.232203i | 0.0947966 | − | 0.164193i | −0.814727 | − | 0.579845i | ||
0.909524 | + | 0.415652i | ||||||||
1.14301 | 0.659917 | 0.329958 | − | 0.943996i | ||||||
0.329958 | + | 0.943996i | ||||||||
0.964054 | + | 1.66979i | 0.482027 | + | 0.834896i | |||||
−1.28088 | − | 2.21854i | −0.572826 | − | 0.992163i | −0.996274 | − | 0.0862431i | ||
0.423448 | − | 0.905920i | ||||||||
0.153235 | − | 0.265410i | 0.0625578 | − | 0.108353i | |||||
0 | 0 | |||||||||
1.05323 | 0.372371 | |||||||||
−1.69353 | −0.564510 | |||||||||
−0.686871 | −0.217208 | |||||||||
3.94600 | 1.18976 | 0.594882 | − | 0.803813i | ||||||
0.594882 | + | 0.803813i | ||||||||
1.10192 | + | 1.90859i | 0.318098 | + | 0.550961i | |||||
3.15374 | + | 1.74755i | 0.874690 | + | 0.484682i | |||||
0 | 0 | |||||||||
−1.46405 | − | 2.53582i | −0.378017 | − | 0.654745i | |||||
−1.78691 | + | 3.09502i | −0.446728 | + | 0.773755i | |||||
0.392550 | + | 0.679916i | 0.0952073 | + | 0.164904i | 0.909695 | − | 0.415277i | ||
−0.814488 | + | 0.580181i | ||||||||
−0.227039 | + | 0.393243i | −0.0535136 | + | 0.0926883i | |||||
7.49527 | 1.71953 | 0.859767 | − | 0.510687i | ||||||
0.859767 | + | 0.510687i | ||||||||
2.46967 | − | 4.27760i | 0.552235 | − | 0.956500i | |||||
0 | 0 | |||||||||
0.529011 | − | 0.916274i | 0.112786 | − | 0.195350i | |||||
3.97759 | − | 6.88938i | 0.829384 | − | 1.43654i | −0.0691375 | − | 0.997607i | ||
0.898522 | − | 0.438929i | ||||||||
1.20385 | 0.245734 | |||||||||
−0.781294 | + | 1.35324i | −0.156259 | + | 0.270648i | |||||
0.828585 | − | 0.498028i | 0.162499 | − | 0.0976714i | |||||
−5.36475 | −1.03245 | |||||||||
0 | 0 | |||||||||
−1.17586 | − | 2.03666i | −0.218353 | − | 0.378198i | 0.735952 | − | 0.677034i | ||
−0.954304 | + | 0.298836i | ||||||||
−0.785100 | −0.143339 | |||||||||
−1.27718 | + | 2.21215i | −0.229389 | + | 0.397313i | −0.957627 | − | 0.288011i | ||
0.728238 | + | 0.685324i | ||||||||
1.53234 | + | 2.65409i | 0.270882 | + | 0.469182i | |||||
4.51032 | 0.785145 | |||||||||
0.210505 | 0.0361013 | |||||||||
0 | 0 | |||||||||
−1.63266 | − | 2.82784i | −0.272109 | − | 0.471307i | |||||
−3.37858 | + | 5.85187i | −0.555435 | + | 0.962041i | 0.442435 | + | 0.896801i | ||
−0.997870 | + | 0.0652406i | ||||||||
1.00484 | − | 1.74043i | 0.163006 | − | 0.282334i | |||||
3.60475 | + | 1.99746i | 0.577223 | + | 0.319850i | |||||
−1.34905 | − | 2.33663i | −0.213304 | − | 0.369453i | |||||
−1.21874 | − | 2.11091i | −0.190335 | − | 0.329669i | 0.755027 | − | 0.655694i | ||
−0.945361 | + | 0.326025i | ||||||||
0 | 0 | |||||||||
1.12473 | − | 1.94809i | 0.171520 | − | 0.297081i | −0.767432 | − | 0.641131i | ||
0.938951 | + | 0.344050i | ||||||||
3.80416 | + | 6.58900i | 0.573499 | + | 0.993329i | |||||
2.16920 | + | 3.75717i | 0.323366 | + | 0.560086i | |||||
−1.06649 | − | 1.84722i | −0.157246 | − | 0.272357i | |||||
0.658276 | + | 1.14017i | 0.0960195 | + | 0.166311i | 0.910034 | − | 0.414534i | ||
−0.814014 | + | 0.580845i | ||||||||
−2.04246 | + | 3.53764i | −0.294803 | + | 0.510614i | |||||
0 | 0 | |||||||||
0.209485 | + | 0.362838i | 0.0296256 | + | 0.0513130i | |||||
0.448688 | + | 0.777151i | 0.0628289 | + | 0.108823i | |||||
0.122340 | + | 6.95082i | 0.0169655 | + | 0.963905i | |||||
−4.63977 | + | 8.03632i | −0.637321 | + | 1.10387i | 0.348697 | + | 0.937236i | ||
−0.986018 | + | 0.166637i | ||||||||
−0.719212 | + | 1.24571i | −0.0978724 | + | 0.169520i | |||||
−5.05434 | − | 8.75438i | −0.681528 | − | 1.18044i | |||||
0 | 0 | |||||||||
8.56716 | 1.13475 | |||||||||
−0.630558 | −0.0827963 | |||||||||
−4.48335 | − | 7.76540i | −0.583683 | − | 1.01097i | −0.995038 | − | 0.0994935i | ||
0.411355 | − | 0.911475i | ||||||||
2.82286 | − | 4.88933i | 0.364429 | − | 0.631210i | |||||
−9.44547 | −1.20937 | −0.604684 | − | 0.796465i | ||||||
−0.604684 | + | 0.796465i | ||||||||
0.342445 | + | 0.593132i | 0.0434906 | + | 0.0753279i | |||||
0 | 0 | |||||||||
−6.32592 | −0.790741 | |||||||||
−0.162546 | − | 9.23511i | −0.0201613 | − | 1.14547i | |||||
0.604665 | − | 1.04731i | 0.0744291 | − | 0.128915i | |||||
−1.35256 | −0.165242 | −0.0826209 | − | 0.996581i | ||||||
−0.0826209 | + | 0.996581i | ||||||||
−0.756879 | + | 1.31095i | −0.0917851 | + | 0.158976i | |||||
4.54642 | − | 7.87463i | 0.547324 | − | 0.947994i | |||||
0 | 0 | |||||||||
−6.15808 | + | 10.6661i | −0.730829 | + | 1.26583i | 0.225700 | + | 0.974197i | ||
−0.956529 | + | 0.291637i | ||||||||
−1.78367 | −0.210207 | |||||||||
0.384295 | − | 0.665619i | 0.0449783 | − | 0.0779048i | −0.842660 | − | 0.538446i | ||
0.887638 | + | 0.460542i | ||||||||
0.905882 | + | 1.56903i | 0.105307 | + | 0.182396i | |||||
−0.893026 | + | 1.54677i | −0.103118 | + | 0.178605i | |||||
7.22585 | + | 12.5155i | 0.828862 | + | 1.43563i | |||||
0 | 0 | |||||||||
0.947080 | − | 0.569251i | 0.107236 | − | 0.0644550i | |||||
−3.09642 | − | 5.36316i | −0.348375 | − | 0.603402i | 0.637586 | − | 0.770379i | ||
−0.985961 | + | 0.166976i | ||||||||
9.15525 | 1.02359 | |||||||||
−1.05136 | −0.116818 | |||||||||
−0.653548 | −0.0721723 | |||||||||
1.07292 | 0.117768 | 0.0588841 | − | 0.998265i | ||||||
0.0588841 | + | 0.998265i | ||||||||
0 | 0 | |||||||||
1.00562 | − | 1.74178i | 0.109074 | − | 0.188922i | |||||
−0.301568 | − | 0.522332i | −0.0325190 | − | 0.0563245i | |||||
−1.34402 | − | 2.32792i | −0.144094 | − | 0.249579i | |||||
4.15603 | 0.443034 | |||||||||
3.83149 | − | 6.63634i | 0.406138 | − | 0.703451i | −0.588316 | − | 0.808631i | ||
0.994453 | + | 0.105180i | ||||||||
1.16324 | 0.122616 | |||||||||
0 | 0 | |||||||||
15.3384 | 1.59914 | |||||||||
−1.45983 | + | 2.52850i | −0.151378 | + | 0.262194i | |||||
0.353001 | 0.0364093 | |||||||||
−9.60052 | − | 16.6286i | −0.984993 | − | 1.70606i | |||||
1.75148 | + | 3.03365i | 0.178760 | + | 0.309621i | |||||
−1.18601 | + | 2.05423i | −0.120421 | + | 0.208575i | −0.919934 | − | 0.392074i | ||
0.799513 | + | 0.600649i | ||||||||
0 | 0 | |||||||||
−6.68267 | −0.671634 | |||||||||
−3.01284 | −0.301284 | |||||||||
0.797330 | 0.0793373 | 0.0396686 | − | 0.999213i | ||||||
0.0396686 | + | 0.999213i | ||||||||
0.240609 | 0.0238239 | |||||||||
1.08309 | + | 1.87597i | 0.106720 | + | 0.184844i | 0.914440 | − | 0.404722i | ||
−0.807720 | + | 0.589567i | ||||||||
3.32160 | + | 1.84056i | 0.325710 | + | 0.180482i | |||||
0 | 0 | |||||||||
1.24404 | + | 2.15474i | 0.120832 | + | 0.209287i | |||||
5.76311 | − | 9.98201i | 0.557141 | − | 0.964997i | −0.440592 | − | 0.897707i | ||
0.997733 | − | 0.0672896i | ||||||||
−5.17191 | − | 8.95801i | −0.497667 | − | 0.861985i | |||||
−4.03912 | + | 6.99595i | −0.386877 | + | 0.670091i | −0.992028 | − | 0.126020i | ||
0.605151 | + | 0.796111i | ||||||||
−2.71039 | −0.258426 | |||||||||
−3.86174 | + | 6.68874i | −0.366541 | + | 0.634867i | |||||
0 | 0 | |||||||||
−4.02067 | + | 6.96401i | −0.378233 | + | 0.655119i | −0.990805 | − | 0.135296i | ||
0.612572 | + | 0.790415i | ||||||||
1.14854 | − | 1.98932i | 0.107570 | − | 0.186317i | |||||
−20.3792 | −1.90037 | |||||||||
2.26719 | − | 3.92690i | 0.210504 | − | 0.364603i | |||||
−5.34096 | − | 2.95952i | −0.493772 | − | 0.273608i | |||||
−2.40420 | −0.221325 | |||||||||
0 | 0 | |||||||||
−1.54198 | − | 2.67079i | −0.140763 | − | 0.243808i | |||||
4.57093 | 0.415539 | |||||||||
−1.26628 | + | 2.19327i | −0.114644 | + | 0.198569i | |||||
−1.39303 | − | 2.41279i | −0.125605 | − | 0.217554i | |||||
−4.92510 | −0.442287 | |||||||||
−8.80581 | −0.787615 | |||||||||
0 | 0 | |||||||||
−0.894023 | − | 1.54849i | −0.0793317 | − | 0.137406i | 0.823630 | − | 0.567127i | ||
−0.902962 | + | 0.429721i | ||||||||
−3.91275 | + | 6.77709i | −0.345842 | + | 0.599015i | |||||
1.28558 | − | 2.22668i | 0.113189 | − | 0.196049i | |||||
−2.16621 | − | 1.20034i | −0.189989 | − | 0.105277i | |||||
−3.19545 | − | 5.53469i | −0.279188 | − | 0.483568i | 0.691995 | − | 0.721902i | ||
−0.971183 | + | 0.238334i | ||||||||
4.34819 | + | 7.53129i | 0.378461 | + | 0.655514i | |||||
0 | 0 | |||||||||
−0.181328 | + | 0.314069i | −0.0156644 | + | 0.0271315i | |||||
6.87158 | + | 11.9019i | 0.591412 | + | 1.02436i | |||||
0.413443 | + | 0.716105i | 0.0354525 | + | 0.0614055i | |||||
−5.01827 | − | 8.69190i | −0.428740 | − | 0.742599i | 0.568022 | − | 0.823014i | ||
−0.996762 | + | 0.0804144i | ||||||||
−1.21901 | − | 2.11139i | −0.103769 | − | 0.179733i | |||||
−2.77278 | + | 4.80260i | −0.235184 | + | 0.407351i | −0.959326 | − | 0.282300i | ||
0.724142 | + | 0.689651i | ||||||||
0 | 0 | |||||||||
0.752416 | + | 1.30322i | 0.0633648 | + | 0.109751i | |||||
1.65114 | + | 2.85985i | 0.138560 | + | 0.239993i | |||||
12.4447 | + | 6.89582i | 1.04068 | + | 0.576658i | |||||
3.02619 | − | 5.24151i | 0.252182 | − | 0.436793i | |||||
−3.01228 | + | 5.21742i | −0.250156 | + | 0.433283i | |||||
−0.103039 | − | 0.178469i | −0.00852759 | − | 0.0147702i | |||||
0 | 0 | |||||||||
−13.0285 | −1.07094 | |||||||||
18.4651 | 1.51272 | 0.756359 | − | 0.654157i | ||||||
0.756359 | + | 0.654157i | ||||||||
0.239443 | + | 0.414727i | 0.0195504 | + | 0.0338623i | |||||
−0.803678 | + | 1.39201i | −0.0654024 | + | 0.113280i | −0.896872 | − | 0.442289i | ||
0.831470 | + | 0.555570i | ||||||||
7.89421 | 0.640305 | |||||||||
−0.664795 | − | 1.15146i | −0.0537455 | − | 0.0930900i | |||||
0 | 0 | |||||||||
6.54366 | 0.525600 | |||||||||
0.139836 | + | 7.94485i | 0.0111958 | + | 0.636097i | |||||
−0.822967 | + | 1.42542i | −0.0656799 | + | 0.113761i | −0.896995 | − | 0.442040i | ||
0.831315 | + | 0.555801i | ||||||||
−1.66046 | −0.132099 | |||||||||
−5.30330 | + | 9.18558i | −0.420579 | + | 0.728464i | |||||
3.92548 | − | 6.79913i | 0.310337 | − | 0.537519i | |||||
0 | 0 | |||||||||
−0.140949 | + | 0.244130i | −0.0110740 | + | 0.0191807i | |||||
−6.54819 | −0.512894 | −0.256447 | − | 0.966558i | ||||||
−0.256447 | + | 0.966558i | ||||||||
2.34986 | − | 4.07007i | 0.183493 | − | 0.317819i | |||||
−5.77716 | − | 10.0063i | −0.449751 | − | 0.778992i | |||||
0.143838 | − | 0.249135i | 0.0111640 | − | 0.0193367i | |||||
4.77440 | + | 8.26950i | 0.369454 | + | 0.639913i | 0.989480 | − | 0.144668i | ||
−0.620026 | + | 0.784581i | ||||||||
0 | 0 | |||||||||
6.89216 | + | 11.0226i | 0.530166 | + | 0.847894i | |||||
−0.269631 | − | 0.467015i | −0.0206798 | − | 0.0358184i | |||||
−12.6935 | −0.970694 | |||||||||
4.33720 | 0.330709 | |||||||||
−11.1316 | −0.846322 | −0.423161 | − | 0.906054i | ||||||
−0.423161 | + | 0.906054i | ||||||||
−0.720733 | −0.0546386 | |||||||||
0 | 0 | |||||||||
−7.05115 | + | 12.2130i | −0.531501 | + | 0.920586i | |||||
−5.12451 | − | 8.87592i | −0.385182 | − | 0.667155i | |||||
−1.02732 | − | 1.77937i | −0.0770009 | − | 0.133369i | |||||
−12.6435 | −0.945017 | −0.472508 | − | 0.881326i | ||||||
−0.472508 | + | 0.881326i | ||||||||
−4.18246 | + | 7.24424i | −0.311742 | + | 0.539954i | |||||
−14.9158 | −1.10868 | −0.554341 | − | 0.832289i | ||||||
−0.554341 | + | 0.832289i | ||||||||
0 | 0 | |||||||||
−10.7963 | −0.798082 | |||||||||
4.18930 | − | 7.25607i | 0.308839 | − | 0.534925i | |||||
17.3102 | 1.27267 | |||||||||
0.391418 | + | 0.677956i | 0.0287001 | + | 0.0497101i | |||||
1.54900 | + | 2.68295i | 0.113274 | + | 0.196197i | |||||
−1.26923 | + | 2.19837i | −0.0925680 | + | 0.160332i | |||||
0 | 0 | |||||||||
−5.14829 | −0.373496 | |||||||||
−14.1306 | −1.02245 | −0.511226 | − | 0.859447i | ||||||
−0.511226 | + | 0.859447i | ||||||||
−7.23059 | −0.521823 | |||||||||
3.89454 | 0.280335 | 0.140167 | − | 0.990128i | ||||||
0.140167 | + | 0.990128i | ||||||||
0.317999 | + | 0.550790i | 0.0228310 | + | 0.0395444i | |||||
−0.185791 | − | 10.5558i | −0.0133048 | − | 0.755917i | |||||
0 | 0 | |||||||||
5.85445 | + | 10.1402i | 0.417112 | + | 0.722459i | 0.995648 | − | 0.0931979i | ||
−0.578536 | + | 0.815657i | ||||||||
−0.895897 | + | 1.55174i | −0.0636686 | + | 0.110277i | |||||
1.74842 | + | 3.02835i | 0.123942 | + | 0.214674i | 0.921319 | − | 0.388808i | ||
−0.797377 | + | 0.603482i | ||||||||
−0.822878 | + | 1.42527i | −0.0581863 | + | 0.100782i | |||||
−1.54599 | −0.109046 | |||||||||
0.106892 | − | 0.185143i | 0.00752090 | − | 0.0130266i | |||||
0 | 0 | |||||||||
−0.865120 | + | 1.49843i | −0.0605705 | + | 0.104911i | |||||
−3.12210 | + | 5.40764i | −0.218057 | + | 0.377686i | |||||
0.580807 | 0.0404667 | |||||||||
−6.73617 | + | 11.6674i | −0.468196 | + | 0.810939i | |||||
−11.0441 | + | 6.63818i | −0.765774 | + | 0.460275i | |||||
29.5764 | 2.04584 | |||||||||
0 | 0 | |||||||||
−9.50258 | − | 16.4589i | −0.654184 | − | 1.13308i | −0.982098 | − | 0.188373i | ||
0.327913 | − | 0.944708i | ||||||||
−17.8920 | −1.22882 | |||||||||
−7.03874 | + | 12.1915i | −0.482286 | + | 0.835345i | |||||
−1.54524 | − | 2.67643i | −0.105630 | − | 0.182957i | |||||
−5.76256 | −0.393004 | |||||||||
−5.65029 | −0.384453 | |||||||||
0 | 0 | |||||||||
1.08299 | + | 1.87579i | 0.0733492 | + | 0.127045i | |||||
0.439253 | − | 0.760808i | 0.0296820 | − | 0.0514106i | |||||
9.74533 | − | 16.8794i | 0.657030 | − | 1.13801i | |||||
0.0498153 | + | 2.83028i | 0.00335094 | + | 0.190385i | |||||
1.03543 | + | 1.79342i | 0.0694936 | + | 0.120366i | |||||
−5.98311 | − | 10.3630i | −0.400658 | − | 0.693961i | 0.593147 | − | 0.805094i | ||
−0.993805 | + | 0.111133i | ||||||||
0 | 0 | |||||||||
1.32315 | − | 2.29175i | 0.0882097 | − | 0.152784i | |||||
1.07804 | + | 1.86723i | 0.0717104 | + | 0.124206i | |||||
7.69209 | + | 13.3231i | 0.510542 | + | 0.884284i | 0.999925 | + | 0.0122157i | ||
−0.489384 | + | 0.872069i | ||||||||
8.25921 | + | 14.3054i | 0.546980 | + | 0.947396i | |||||
4.33084 | + | 7.50123i | 0.286190 | + | 0.495695i | 0.972897 | − | 0.231239i | ||
−0.686707 | + | 0.726934i | ||||||||
−2.73209 | + | 4.73212i | −0.180149 | + | 0.312027i | |||||
0 | 0 | |||||||||
−1.23845 | − | 2.14506i | −0.0813082 | − | 0.140830i | |||||
−10.1253 | − | 17.5376i | −0.663333 | − | 1.14893i | −0.979734 | − | 0.200301i | ||
0.316402 | − | 0.948625i | ||||||||
−1.40323 | + | 0.843426i | −0.0917322 | + | 0.0551365i | |||||
1.68634 | − | 2.92083i | 0.110005 | − | 0.190534i | |||||
8.64440 | − | 14.9725i | 0.562702 | − | 0.974629i | |||||
−3.53924 | − | 6.13014i | −0.229898 | − | 0.398195i | |||||
0 | 0 | |||||||||
16.5526 | 1.07070 | 0.535350 | − | 0.844630i | ||||||
0.535350 | + | 0.844630i | ||||||||
10.4645 | 0.675483 | |||||||||
−8.20038 | − | 14.2035i | −0.528233 | − | 0.914926i | −0.999458 | − | 0.0329132i | ||
0.471225 | − | 0.882013i | ||||||||
0.612791 | − | 1.06138i | 0.0393917 | − | 0.0682284i | |||||
14.8925 | 0.955356 | |||||||||
−9.10595 | − | 15.7720i | −0.582949 | − | 1.00970i | |||||
0 | 0 | |||||||||
−0.747011 | −0.0476277 | |||||||||
23.6381 | + | 13.0983i | 1.50406 | + | 0.833427i | |||||
−1.34516 | + | 2.32989i | −0.0854178 | + | 0.147948i | |||||
1.22636 | 0.0777172 | |||||||||
−1.18053 | + | 2.04474i | −0.0746632 | + | 0.129321i | |||||
−10.2154 | + | 17.6935i | −0.644788 | + | 1.11681i | 0.339563 | + | 0.940583i | ||
−0.984350 | + | 0.176222i | ||||||||
0 | 0 | |||||||||
15.6956 | − | 27.1855i | 0.986772 | − | 1.70914i | |||||
−0.479420 | −0.0300815 | |||||||||
1.14943 | − | 1.99087i | 0.0719800 | − | 0.124673i | |||||
−5.27682 | − | 9.13972i | −0.329801 | − | 0.571232i | |||||
6.88895 | − | 11.9320i | 0.429721 | − | 0.744299i | −0.567127 | − | 0.823630i | ||
0.996848 | + | 0.0793315i | ||||||||
−0.344695 | − | 0.597030i | −0.0214598 | − | 0.0371695i | |||||
0 | 0 | |||||||||
15.2640 | − | 9.17456i | 0.946633 | − | 0.568982i | |||||
1.99136 | + | 3.44914i | 0.123262 | + | 0.213496i | |||||
−1.71356 | −0.105864 | |||||||||
25.9173 | 1.59813 | 0.799065 | − | 0.601244i | ||||||
0.799065 | + | 0.601244i | ||||||||
4.75038 | 0.292366 | |||||||||
23.7719 | 1.46030 | |||||||||
0 | 0 | |||||||||
4.37943 | − | 7.58540i | 0.268017 | − | 0.464219i | |||||
−1.30394 | − | 2.25850i | −0.0796510 | − | 0.137960i | |||||
−15.0333 | − | 26.0384i | −0.916596 | − | 1.58759i | −0.804547 | − | 0.593889i | ||
−0.112050 | − | 0.993703i | ||||||||
3.68489 | 0.224255 | |||||||||
7.22527 | − | 12.5145i | 0.438904 | − | 0.760204i | −0.558701 | − | 0.829369i | ||
0.997605 | + | 0.0691651i | ||||||||
−2.80581 | −0.170127 | |||||||||
0 | 0 | |||||||||
−2.69105 | −0.162572 | |||||||||
−3.08299 | + | 5.33989i | −0.185911 | + | 0.322008i | |||||
17.5320 | 1.05530 | |||||||||
7.66274 | + | 13.2723i | 0.460409 | + | 0.797452i | 0.998981 | − | 0.0451272i | ||
−0.538572 | + | 0.842580i | ||||||||
0.743453 | + | 1.28770i | 0.0445894 | + | 0.0772310i | |||||
2.16295 | − | 3.74634i | 0.129492 | − | 0.224287i | |||||
0 | 0 | |||||||||
5.29279 | 0.315741 | 0.157871 | − | 0.987460i | ||||||
0.157871 | + | 0.987460i | ||||||||
0.403483 | 0.0240271 | |||||||||
30.7845 | 1.82995 | 0.914975 | − | 0.403511i | ||||||
0.914975 | + | 0.403511i | ||||||||
−23.7469 | −1.40912 | |||||||||
−10.9735 | − | 19.0066i | −0.650013 | − | 1.12586i | |||||
3.26960 | − | 1.96522i | 0.193335 | − | 0.116206i | |||||
0 | 0 | |||||||||
−2.59507 | − | 4.49479i | −0.152916 | − | 0.264858i | |||||
8.19181 | − | 14.1886i | 0.481871 | − | 0.834625i | |||||
0.807667 | + | 1.39892i | 0.0474279 | + | 0.0821474i | |||||
−1.35562 | + | 2.34800i | −0.0794677 | + | 0.137642i | |||||
1.48193 | 0.0867231 | |||||||||
−8.75864 | + | 15.1704i | −0.511685 | + | 0.886265i | 0.488223 | + | 0.872719i | ||
−0.999908 | + | 0.0135461i | ||||||||
0 | 0 | |||||||||
−11.4853 | + | 19.8930i | −0.668697 | + | 1.15822i | |||||
−3.55840 | + | 6.16333i | −0.206828 | + | 0.358237i | |||||
−21.1693 | −1.22837 | |||||||||
2.47548 | − | 4.28765i | 0.143400 | − | 0.248377i | |||||
24.5838 | − | 14.7763i | 1.42172 | − | 0.854536i | |||||
−3.44370 | −0.198822 | |||||||||
0 | 0 | |||||||||
0.215486 | + | 0.373233i | 0.0123998 | + | 0.0214772i | |||||
0.911355 | 0.0523560 | |||||||||
−13.3934 | + | 23.1980i | −0.768163 | + | 1.33050i | |||||
12.0985 | + | 20.9552i | 0.692757 | + | 1.19989i | |||||
−0.356497 | −0.0203796 | |||||||||
8.63573 | 0.492867 | 0.246434 | − | 0.969160i | ||||||
0.246434 | + | 0.969160i | ||||||||
0 | 0 | |||||||||
1.23798 | + | 2.14425i | 0.0704262 | + | 0.121982i | |||||
0.877260 | − | 1.51946i | 0.0498250 | − | 0.0862995i | |||||
−8.21130 | + | 14.2224i | −0.465620 | + | 0.806478i | −0.999229 | − | 0.0392535i | ||
0.533609 | + | 0.845731i | ||||||||
3.79662 | + | 2.10378i | 0.214941 | + | 0.119103i | |||||
5.02308 | + | 8.70024i | 0.283921 | + | 0.491766i | 0.972347 | − | 0.233541i | ||
−0.688426 | + | 0.725307i | ||||||||
0.220658 | + | 0.382191i | 0.0124525 | + | 0.0215683i | |||||
0 | 0 | |||||||||
5.97024 | − | 10.3408i | 0.335852 | − | 0.581713i | |||||
−5.07249 | − | 8.78581i | −0.284899 | − | 0.493460i | 0.687685 | − | 0.726009i | ||
−0.972585 | + | 0.232549i | ||||||||
1.42195 | + | 2.46289i | 0.0797389 | + | 0.138112i | |||||
−4.63996 | − | 8.03665i | −0.259788 | − | 0.449966i | |||||
8.10273 | + | 14.0343i | 0.452957 | + | 0.784544i | |||||
6.58729 | − | 11.4095i | 0.367667 | − | 0.636817i | |||||
0 | 0 | |||||||||
2.94227 | + | 5.09616i | 0.163712 | + | 0.283558i | |||||
−1.01357 | − | 1.75556i | −0.0563095 | − | 0.0975310i | |||||
−4.82885 | + | 2.90242i | −0.267856 | + | 0.160998i | |||||
−0.877867 | + | 1.52051i | −0.0486206 | + | 0.0842133i | |||||
−4.61674 | + | 7.99644i | −0.255307 | + | 0.442204i | |||||
−1.28360 | − | 2.22327i | −0.0708751 | − | 0.122759i | |||||
0 | 0 | |||||||||
−3.09801 | −0.170540 | |||||||||
2.31916 | 0.127473 | 0.0637363 | − | 0.997967i | ||||||
0.0637363 | + | 0.997967i | ||||||||
1.03435 | + | 1.79155i | 0.0567675 | + | 0.0983242i | |||||
5.72172 | − | 9.91032i | 0.313549 | − | 0.543082i | |||||
2.56027 | 0.140092 | |||||||||
1.73247 | + | 3.00072i | 0.0946547 | + | 0.163947i | |||||
0 | 0 | |||||||||
−15.9998 | −0.871565 | −0.435783 | − | 0.900052i | ||||||
−0.435783 | + | 0.900052i | ||||||||
3.48347 | − | 0.122662i | 0.189476 | − | 0.00667193i | |||||
−4.59567 | + | 7.95993i | −0.249602 | + | 0.432324i | |||||
3.87788 | 0.210307 | |||||||||
−5.03977 | + | 8.72913i | −0.272919 | + | 0.472709i | |||||
−1.70172 | + | 2.94747i | −0.0920185 | + | 0.159381i | |||||
0 | 0 | |||||||||
1.18459 | − | 2.05178i | 0.0638690 | − | 0.110624i | |||||
−23.2936 | −1.25409 | |||||||||
−1.49234 | + | 2.58480i | −0.0802285 | + | 0.138960i | |||||
11.4104 | + | 19.7634i | 0.612543 | + | 1.06096i | 0.990810 | + | 0.135259i | ||
−0.378267 | + | 0.925696i | ||||||||
2.59142 | − | 4.48848i | 0.138915 | − | 0.240608i | |||||
−11.3511 | − | 19.6607i | −0.607612 | − | 1.05241i | −0.991633 | − | 0.129090i | ||
0.384021 | − | 0.923324i | ||||||||
0 | 0 | |||||||||
−16.9190 | − | 9.37515i | −0.903071 | − | 0.500408i | |||||
6.04662 | + | 10.4731i | 0.322286 | + | 0.558216i | |||||
27.2644 | 1.45114 | 0.725568 | − | 0.688150i | ||||||
0.725568 | + | 0.688150i | ||||||||
−2.74802 | −0.146056 | |||||||||
31.5510 | 1.67455 | |||||||||
14.7751 | 0.783077 | |||||||||
0 | 0 | |||||||||
−1.69502 | + | 2.93585i | −0.0895844 | + | 0.155165i | |||||
7.21309 | + | 12.4934i | 0.380692 | + | 0.659378i | 0.991161 | − | 0.132662i | ||
−0.610469 | + | 0.792040i | ||||||||
2.28466 | + | 3.95715i | 0.120412 | + | 0.208560i | |||||
37.1791 | 1.95679 | |||||||||
−1.99965 | + | 3.46350i | −0.105099 | + | 0.182037i | |||||
5.22461 | 0.274221 | |||||||||
0 | 0 | |||||||||
−1.96894 | −0.103059 | |||||||||
−1.44737 | + | 2.50693i | −0.0756555 | + | 0.131039i | |||||
11.3917 | 0.594643 | 0.297322 | − | 0.954777i | ||||||
0.297322 | + | 0.954777i | ||||||||
14.2152 | + | 24.6214i | 0.741018 | + | 1.28348i | |||||
2.06397 | + | 3.57489i | 0.107446 | + | 0.186102i | |||||
2.32065 | − | 4.01948i | 0.120645 | − | 0.208963i | |||||
0 | 0 | |||||||||
−5.62943 | −0.291872 | |||||||||
−30.9629 | −1.60320 | −0.801599 | − | 0.597862i | ||||||
−0.801599 | + | 0.597862i | ||||||||
0.830653 | 0.0429521 | |||||||||
−10.0651 | −0.519760 | |||||||||
0.693313 | + | 1.20085i | 0.0357549 | + | 0.0619293i | |||||
−0.149219 | − | 8.47796i | −0.00768518 | − | 0.436637i | |||||
0 | 0 | |||||||||
−5.29330 | − | 9.16826i | −0.271898 | − | 0.470942i | 0.697450 | − | 0.716634i | ||
−0.969348 | + | 0.245692i | ||||||||
18.5109 | − | 32.0617i | 0.949587 | − | 1.64473i | |||||
−1.02188 | − | 1.76994i | −0.0523523 | − | 0.0906768i | |||||
−1.89438 | + | 3.28116i | −0.0969249 | + | 0.167879i | |||||
−30.7517 | −1.57134 | −0.785668 | − | 0.618648i | ||||||
−0.785668 | + | 0.618648i | ||||||||
−4.47231 | + | 7.74627i | −0.228227 | + | 0.395300i | |||||
0 | 0 | |||||||||
0.522112 | − | 0.904324i | 0.0265748 | − | 0.0460289i | |||||
−1.90476 | + | 3.29915i | −0.0968246 | + | 0.167705i | |||||
−4.57351 | −0.232185 | |||||||||
8.18978 | − | 14.1851i | 0.415239 | − | 0.719214i | −0.580215 | − | 0.814463i | ||
0.995453 | + | 0.0952492i | ||||||||
−2.47600 | − | 1.37200i | −0.125377 | − | 0.0694738i | |||||
6.24561 | 0.315854 | |||||||||
0 | 0 | |||||||||
−3.65243 | − | 6.32620i | −0.184241 | − | 0.319114i | |||||
3.13945 | 0.158163 | |||||||||
−7.93227 | + | 13.7391i | −0.399116 | + | 0.691289i | |||||
−6.44246 | − | 11.1587i | −0.323746 | − | 0.560744i | |||||
15.8827 | 0.797127 | 0.398564 | − | 0.917141i | ||||||
0.398564 | + | 0.917141i | ||||||||
0.937591 | 0.0469972 | |||||||||
0 | 0 | |||||||||
−2.79221 | − | 4.83624i | −0.139610 | − | 0.241812i | |||||
−3.31787 | + | 5.74671i | −0.165686 | + | 0.286977i | −0.936899 | − | 0.349601i | ||
0.771212 | + | 0.636578i | ||||||||
−0.207259 | + | 0.358984i | −0.0103372 | + | 0.0179045i | |||||
−7.89373 | + | 4.74460i | −0.393215 | + | 0.236345i | |||||
0.768670 | + | 1.33137i | 0.0382427 | + | 0.0662384i | |||||
1.34667 | + | 2.33250i | 0.0669164 | + | 0.115903i | |||||
0 | 0 | |||||||||
−13.3319 | + | 23.0915i | −0.660836 | + | 1.14460i | |||||
0.472570 | + | 0.818515i | 0.0233957 | + | 0.0405225i | |||||
2.93617 | + | 5.08560i | 0.145184 | + | 0.251467i | 0.929442 | − | 0.368969i | ||
−0.784257 | + | 0.620436i | ||||||||
0.837115 | + | 1.44992i | 0.0413421 | + | 0.0716067i | |||||
−5.73593 | − | 9.93492i | −0.282933 | − | 0.490053i | |||||
−2.08831 | + | 3.61707i | −0.102884 | + | 0.178200i | |||||
0 | 0 | |||||||||
1.80614 | + | 3.12832i | 0.0887667 | + | 0.153749i | |||||
−1.37428 | − | 2.38032i | −0.0674607 | − | 0.116845i | |||||
0.194457 | + | 11.0482i | 0.00953403 | + | 0.541680i | |||||
−3.16932 | + | 5.48942i | −0.155202 | + | 0.268818i | |||||
3.96508 | − | 6.86773i | 0.193939 | − | 0.335911i | |||||
−15.0712 | − | 26.1040i | −0.736274 | − | 1.27526i | −0.954162 | − | 0.299290i | ||
0.217888 | − | 0.975974i | ||||||||
0 | 0 | |||||||||
40.0580 | 1.95231 | 0.976153 | − | 0.217083i | ||||||
0.976153 | + | 0.217083i | ||||||||
−5.09576 | −0.248058 | |||||||||
−1.11481 | − | 1.93091i | −0.0542040 | − | 0.0938840i | |||||
−4.88672 | + | 8.46405i | −0.237320 | + | 0.411051i | |||||
−1.22679 | −0.0595079 | |||||||||
1.88726 | + | 3.26884i | 0.0914382 | + | 0.158376i | |||||
0 | 0 | |||||||||
22.2238 | 1.07423 | |||||||||
14.2244 | + | 7.88199i | 0.686759 | + | 0.380546i | |||||
−0.772544 | + | 1.33809i | −0.0372554 | + | 0.0645282i | |||||
−3.91587 | −0.188621 | −0.0943104 | − | 0.995543i | ||||||
−0.0943104 | + | 0.995543i | ||||||||
9.58632 | − | 16.6040i | 0.461222 | − | 0.798860i | |||||
−20.3963 | + | 35.3274i | −0.980182 | + | 1.69772i | −0.318532 | + | 0.947912i | ||
−0.661650 | + | 0.749813i | ||||||||
0 | 0 | |||||||||
−3.44306 | + | 5.96355i | −0.165082 | + | 0.285930i | |||||
−15.5757 | −0.745941 | |||||||||
29.8131 | − | 51.6378i | 1.42615 | − | 2.47017i | |||||
−0.117775 | − | 0.203992i | −0.00562750 | − | 0.00974711i | |||||
−12.7811 | + | 22.1376i | −0.610010 | + | 1.05657i | 0.381228 | + | 0.924481i | ||
−0.991238 | + | 0.132087i | ||||||||
−5.32336 | − | 9.22033i | −0.253781 | − | 0.439562i | |||||
0 | 0 | |||||||||
0.663878 | + | 0.367867i | 0.0315775 | + | 0.0174977i | |||||
13.7282 | + | 23.7779i | 0.652247 | + | 1.12972i | 0.982576 | + | 0.185859i | ||
−0.330330 | + | 0.943866i | ||||||||
−14.8917 | −0.706730 | |||||||||
−19.6307 | −0.930584 | |||||||||
−3.20844 | −0.151924 | |||||||||
21.1057 | 0.998267 | |||||||||
0 | 0 | |||||||||
7.40181 | − | 12.8203i | 0.349313 | − | 0.605028i | −0.636815 | − | 0.771017i | ||
0.986128 | + | 0.165989i | ||||||||
−0.354769 | − | 0.614477i | −0.0167240 | − | 0.0289667i | |||||
−4.80913 | − | 8.32966i | −0.226453 | − | 0.392229i | |||||
−15.5046 | −0.729275 | |||||||||
−0.918611 | + | 1.59108i | −0.0431601 | + | 0.0747555i | |||||
4.12489 | 0.193590 | |||||||||
0 | 0 | |||||||||
9.02315 | 0.422548 | |||||||||
0.325975 | − | 0.564606i | 0.0152485 | − | 0.0264112i | −0.858300 | − | 0.513147i | ||
0.873549 | + | 0.486736i | ||||||||
2.32241 | 0.108519 | |||||||||
−2.10593 | − | 3.64758i | −0.0982965 | − | 0.170254i | |||||
−19.6467 | − | 34.0290i | −0.916031 | − | 1.58661i | |||||
6.24774 | − | 10.8214i | 0.290986 | − | 0.504003i | −0.683057 | − | 0.730365i | ||
0.974043 | + | 0.226362i | ||||||||
0 | 0 | |||||||||
−0.309503 | −0.0143838 | −0.00719190 | − | 0.999974i | ||||||
−0.00719190 | + | 0.999974i | ||||||||
8.40466 | 0.390176 | |||||||||
7.47946 | 0.346852 | |||||||||
−5.42972 | −0.251527 | |||||||||
12.2387 | + | 21.1980i | 0.566338 | + | 0.980926i | 0.996924 | + | 0.0783762i | ||
−0.430586 | + | 0.902549i | ||||||||
−0.207187 | − | 11.7714i | −0.00957722 | − | 0.544134i | |||||
0 | 0 | |||||||||
−0.452151 | − | 0.783149i | −0.0208562 | − | 0.0361240i | |||||
−0.940659 | + | 1.62927i | −0.0433433 | + | 0.0750727i | |||||
−4.72198 | − | 8.17871i | −0.217347 | − | 0.376456i | |||||
4.43818 | − | 7.68716i | 0.204068 | − | 0.353456i | |||||
−1.89792 | −0.0871742 | |||||||||
−5.85601 | + | 10.1429i | −0.268692 | + | 0.465389i | |||||
0 | 0 | |||||||||
7.85759 | − | 13.6097i | 0.359774 | − | 0.623147i | |||||
2.21909 | − | 3.84357i | 0.101499 | − | 0.175801i | |||||
−8.13850 | −0.371858 | −0.185929 | − | 0.982563i | ||||||
−0.185929 | + | 0.982563i | ||||||||
4.48686 | − | 7.77147i | 0.204796 | − | 0.354718i | |||||
−20.8816 | + | 12.5511i | −0.952118 | + | 0.572279i | |||||
−4.39746 | −0.200299 | |||||||||
0 | 0 | |||||||||
4.40662 | + | 7.63250i | 0.200301 | + | 0.346932i | |||||
6.07653 | 0.275921 | |||||||||
1.99653 | − | 3.45809i | 0.0905645 | − | 0.156862i | |||||
−2.30480 | − | 3.99203i | −0.104440 | − | 0.180896i | 0.809069 | − | 0.587714i | ||
−0.913509 | + | 0.406817i | ||||||||
−9.94821 | −0.450334 | |||||||||
−7.48464 | −0.338467 | |||||||||
0 | 0 | |||||||||
−6.50947 | − | 11.2747i | −0.293768 | − | 0.508822i | 0.680929 | − | 0.732349i | ||
−0.974698 | + | 0.223527i | ||||||||
2.68591 | − | 4.65213i | 0.121090 | − | 0.209734i | |||||
0.923171 | − | 1.59898i | 0.0415775 | − | 0.0720144i | |||||
6.21047 | − | 3.73286i | 0.279422 | − | 0.167949i | |||||
8.55969 | + | 14.8258i | 0.384729 | + | 0.666371i | |||||
−4.56443 | − | 7.90582i | −0.204949 | − | 0.354982i | |||||
0 | 0 | |||||||||
0.164409 | − | 0.284764i | 0.00736733 | − | 0.0127606i | |||||
16.1603 | + | 27.9905i | 0.723436 | + | 1.25303i | 0.959614 | + | 0.281319i | ||
−0.236178 | + | 0.971710i | ||||||||
−8.48928 | − | 14.7039i | −0.379652 | − | 0.657577i | |||||
5.45718 | + | 9.45211i | 0.243809 | + | 0.422289i | |||||
2.73900 | + | 4.74408i | 0.122247 | + | 0.211739i | |||||
−15.9126 | + | 27.5615i | −0.709509 | + | 1.22891i | 0.255531 | + | 0.966801i | ||
−0.965039 | + | 0.262105i | ||||||||
0 | 0 | |||||||||
−1.02128 | − | 1.76891i | −0.0454465 | − | 0.0787156i | |||||
−4.20838 | − | 7.28912i | −0.187085 | − | 0.324041i | |||||
7.87780 | + | 12.5990i | 0.349866 | + | 0.559539i | |||||
1.72377 | − | 2.98566i | 0.0764801 | − | 0.132467i | |||||
1.12788 | − | 1.95354i | 0.0499922 | − | 0.0865891i | −0.839946 | − | 0.542669i | ||
0.889939 | + | 0.456080i | ||||||||
−0.308191 | − | 0.533802i | −0.0136469 | − | 0.0236372i | |||||
0 | 0 | |||||||||
−18.4807 | −0.816739 | |||||||||
−40.2102 | −1.77533 | |||||||||
−1.84710 | − | 3.19927i | −0.0814722 | − | 0.141114i | |||||
2.77461 | − | 4.80576i | 0.122264 | − | 0.211767i | |||||
4.95746 | 0.218240 | |||||||||
2.59756 | + | 4.49911i | 0.114241 | + | 0.197870i | |||||
0 | 0 | |||||||||
−12.7236 | −0.558502 | |||||||||
−0.171197 | − | 9.72665i | −0.00750749 | − | 0.426542i | |||||
5.38562 | − | 9.32817i | 0.235948 | − | 0.408675i | −0.723600 | − | 0.690220i | ||
0.959548 | + | 0.281546i | ||||||||
1.06787 | 0.0467393 | |||||||||
3.70397 | − | 6.41546i | 0.161963 | − | 0.280528i | −0.773610 | − | 0.633663i | ||
0.935573 | + | 0.353134i | ||||||||
6.16118 | − | 10.6715i | 0.269152 | − | 0.466186i | |||||
0 | 0 | |||||||||
3.47454 | − | 6.01809i | 0.151497 | − | 0.262401i | |||||
−2.00543 | −0.0873580 | |||||||||
−8.05953 | + | 13.9595i | −0.350746 | + | 0.607510i | |||||
−20.1424 | − | 34.8877i | −0.875757 | − | 1.51686i | |||||
3.18692 | − | 5.51991i | 0.138431 | − | 0.239770i | |||||
7.59270 | + | 13.1509i | 0.329495 | + | 0.570702i | |||||
0 | 0 | |||||||||
−0.154660 | − | 8.78707i | −0.00669906 | − | 0.380610i | |||||
−1.17424 | − | 2.03384i | −0.0508142 | − | 0.0880127i | |||||
−29.5274 | −1.27658 | |||||||||
−1.42455 | −0.0615313 | |||||||||
−14.4516 | −0.623632 | |||||||||
−8.06161 | −0.347561 | |||||||||
0 | 0 | |||||||||
−13.2492 | + | 22.9482i | −0.570153 | + | 0.987534i | |||||
−16.2741 | − | 28.1875i | −0.699676 | − | 1.21188i | −0.968579 | − | 0.248708i | ||
0.268902 | − | 0.963168i | ||||||||
−1.93728 | − | 3.35546i | −0.0832132 | − | 0.144129i | |||||
−17.0489 | −0.731638 | |||||||||
−1.20304 | + | 2.08373i | −0.0515799 | + | 0.0893391i | |||||
20.6944 | 0.886453 | |||||||||
0 | 0 | |||||||||
−13.4997 | −0.577206 | −0.288603 | − | 0.957449i | ||||||
−0.288603 | + | 0.957449i | ||||||||
9.67577 | − | 16.7589i | 0.413329 | − | 0.715906i | |||||
15.9962 | 0.682701 | |||||||||
0.826627 | + | 1.43176i | 0.0352475 | + | 0.0610504i | |||||
−8.81342 | − | 15.2653i | −0.375464 | − | 0.650323i | |||||
4.78840 | − | 8.29376i | 0.203808 | − | 0.353006i | |||||
0 | 0 | |||||||||
4.10915 | 0.174581 | |||||||||
19.7857 | 0.839856 | |||||||||
−10.6925 | −0.453461 | |||||||||
−29.7703 | −1.26141 | −0.630703 | − | 0.776024i | ||||||
−0.630703 | + | 0.776024i | ||||||||
−0.579941 | − | 1.00449i | −0.0245509 | − | 0.0425233i | |||||
6.95148 | − | 4.17825i | 0.294016 | − | 0.176721i | |||||
0 | 0 | |||||||||
1.77052 | + | 3.06664i | 0.0747516 | + | 0.129474i | |||||
0.709566 | − | 1.22900i | 0.0299312 | − | 0.0518424i | |||||
7.06629 | + | 12.2392i | 0.297809 | + | 0.515819i | 0.975634 | − | 0.219403i | ||
−0.677826 | + | 0.735223i | ||||||||
−1.45074 | + | 2.51275i | −0.0610872 | + | 0.105806i | |||||
20.6000 | 0.866647 | |||||||||
4.12705 | − | 7.14826i | 0.173473 | − | 0.300464i | |||||
0 | 0 | |||||||||
−6.48584 | + | 11.2338i | −0.272140 | + | 0.471360i | |||||
12.1270 | − | 21.0046i | 0.508391 | − | 0.880558i | −0.491562 | − | 0.870842i | ||
0.999953 | − | 0.00971585i | ||||||||
−5.88454 | −0.246476 | |||||||||
−0.604159 | + | 1.04643i | −0.0252832 | + | 0.0437919i | −0.878390 | − | 0.477944i | ||
0.853107 | + | 0.521736i | ||||||||
0.482755 | + | 27.4279i | 0.0201850 | + | 1.14682i | |||||
−16.1514 | −0.674732 | |||||||||
0 | 0 | |||||||||
6.21533 | + | 10.7653i | 0.259197 | + | 0.448943i | |||||
10.7131 | 0.446381 | |||||||||
−7.30518 | + | 12.6529i | −0.304119 | + | 0.526749i | −0.977065 | − | 0.212943i | ||
0.672946 | + | 0.739692i | ||||||||
−2.19643 | − | 3.80433i | −0.0913595 | − | 0.158239i | |||||
4.45149 | 0.184998 | |||||||||
−11.6160 | −0.482328 | |||||||||
0 | 0 | |||||||||
0.363475 | + | 0.629558i | 0.0150665 | + | 0.0260960i | |||||
−18.3085 | + | 31.7113i | −0.758262 | + | 1.31335i | |||||
0.404749 | − | 0.701046i | 0.0167486 | − | 0.0290095i | |||||
0.275276 | + | 15.6399i | 0.0113813 | + | 0.646632i | |||||
2.34841 | + | 4.06757i | 0.0970120 | + | 0.168030i | |||||
10.7548 | + | 18.6278i | 0.443897 | + | 0.768852i | 0.997975 | − | 0.0636132i | ||
−0.554078 | + | 0.832465i | ||||||||
0 | 0 | |||||||||
−9.57284 | + | 16.5806i | −0.394442 | + | 0.683193i | |||||
3.07949 | + | 5.33383i | 0.126780 | + | 0.219590i | |||||
6.69168 | + | 11.5903i | 0.275259 | + | 0.476763i | |||||
−12.0744 | − | 20.9135i | −0.496256 | − | 0.859541i | |||||
−1.32429 | − | 2.29373i | −0.0543820 | − | 0.0941923i | 0.837553 | − | 0.546356i | ||
−0.891935 | + | 0.452164i | ||||||||
−2.83801 | + | 4.91558i | −0.116445 | + | 0.201689i | |||||
0 | 0 | |||||||||
17.8013 | + | 30.8328i | 0.729171 | + | 1.26296i | |||||
1.99846 | + | 3.46143i | 0.0817915 | + | 0.141667i | |||||
−0.135340 | − | 7.68939i | −0.00553445 | − | 0.314443i | |||||
20.1250 | − | 34.8576i | 0.822287 | − | 1.42424i | −0.0816889 | − | 0.996658i | ||
0.903975 | − | 0.427584i | ||||||||
−0.940558 | + | 1.62909i | −0.0383981 | + | 0.0665075i | |||||
19.1725 | + | 33.2077i | 0.782061 | + | 1.35457i | 0.930739 | + | 0.365683i | ||
−0.148679 | + | 0.988886i | ||||||||
0 | 0 | |||||||||
2.29060 | 0.0932806 | |||||||||
−3.09916 | −0.126103 | |||||||||
−5.85480 | − | 10.1408i | −0.238031 | − | 0.412283i | |||||
0.122179 | − | 0.211620i | 0.00496317 | − | 0.00859646i | |||||
−42.5547 | −1.72724 | −0.863620 | − | 0.504143i | ||||||
−0.863620 | + | 0.504143i | ||||||||
11.4853 | + | 19.8931i | 0.465791 | + | 0.806773i | |||||
0 | 0 | |||||||||
6.48782 | 0.262684 | |||||||||
0.0835364 | + | 4.74616i | 0.00337952 | + | 0.192009i | |||||
1.28180 | − | 2.22014i | 0.0518136 | − | 0.0897438i | |||||
15.2652 | 0.616556 | 0.308278 | − | 0.951296i | ||||||
0.308278 | + | 0.951296i | ||||||||
1.15773 | − | 2.00524i | 0.0467221 | − | 0.0809251i | |||||
−3.56859 | + | 6.18098i | −0.143899 | + | 0.249241i | |||||
0 | 0 | |||||||||
−6.99061 | + | 12.1081i | −0.281431 | + | 0.487453i | −0.971737 | − | 0.236064i | ||
0.690306 | + | 0.723517i | ||||||||
0.663868 | 0.0267047 | |||||||||
−4.25792 | + | 7.37494i | −0.171140 | + | 0.296424i | −0.938819 | − | 0.344411i | ||
0.767678 | + | 0.640835i | ||||||||
6.30845 | + | 10.9265i | 0.253353 | + | 0.438821i | |||||
−21.3388 | + | 36.9598i | −0.856295 | + | 1.48315i | |||||
2.20166 | + | 3.81338i | 0.0882784 | + | 0.152903i | |||||
0 | 0 | |||||||||
−12.6236 | + | 7.58750i | −0.505347 | + | 0.303743i | |||||
15.1856 | + | 26.3023i | 0.607425 | + | 1.05209i | |||||
2.69363 | 0.107659 | |||||||||
33.8060 | 1.35008 | |||||||||
−3.17354 | −0.126638 | |||||||||
−5.30504 | −0.211526 | |||||||||
0 | 0 | |||||||||
−18.4146 | + | 31.8950i | −0.733074 | + | 1.26972i | 0.222490 | + | 0.974935i | ||
−0.955563 | + | 0.294786i | ||||||||
−3.26123 | − | 5.64861i | −0.129725 | − | 0.224690i | |||||
−10.8615 | − | 18.8127i | −0.431707 | − | 0.747739i | |||||
−2.72013 | −0.108030 | |||||||||
−2.29027 | + | 3.96686i | −0.0908865 | + | 0.157420i | |||||
−20.4507 | −0.810922 | |||||||||
0 | 0 | |||||||||
−2.48818 | −0.0985081 | |||||||||
10.4289 | − | 18.0634i | 0.412561 | − | 0.714576i | |||||
20.0470 | 0.792428 | |||||||||
−12.9374 | − | 22.4082i | −0.510996 | − | 0.885070i | −0.999919 | − | 0.0127435i | ||
0.488923 | − | 0.872327i | ||||||||
−1.76622 | − | 3.05918i | −0.0697071 | − | 0.120736i | |||||
20.2626 | − | 35.0958i | 0.799078 | − | 1.38404i | −0.121139 | − | 0.992636i | ||
0.920217 | − | 0.391408i | ||||||||
0 | 0 | |||||||||
−6.58666 | −0.259350 | |||||||||
1.57779 | 0.0620774 | |||||||||
−1.78400 | −0.0701364 | −0.0350682 | − | 0.999385i | ||||||
−0.0350682 | + | 0.999385i | ||||||||
−1.10732 | −0.0434997 | |||||||||
−17.6913 | − | 30.6423i | −0.694445 | − | 1.20281i | |||||
0.0265840 | + | 1.51038i | 0.00104271 | + | 0.0592420i | |||||
0 | 0 | |||||||||
−6.31281 | − | 10.9341i | −0.247229 | − | 0.428213i | |||||
−6.20210 | + | 10.7424i | −0.242707 | + | 0.420381i | −0.961484 | − | 0.274860i | ||
0.718778 | + | 0.695240i | ||||||||
1.23787 | + | 2.14405i | 0.0484044 | + | 0.0838389i | |||||
−8.18597 | + | 14.1785i | −0.319852 | + | 0.554000i | |||||
8.71109 | 0.340111 | |||||||||
−0.650815 | + | 1.12725i | −0.0253907 | + | 0.0439780i | |||||
0 | 0 | |||||||||
0.564336 | − | 0.977458i | 0.0219834 | − | 0.0380764i | −0.854824 | − | 0.518917i | ||
0.876808 | + | 0.480841i | ||||||||
11.1390 | − | 19.2933i | 0.433585 | − | 0.750991i | |||||
28.9254 | 1.12507 | 0.562534 | − | 0.826774i | ||||||
0.562534 | + | 0.826774i | ||||||||
0.310913 | − | 0.538517i | 0.0120840 | − | 0.0209301i | |||||
0.0569393 | + | 3.23503i | 0.00221134 | + | 0.125638i | |||||
1.13003 | 0.0438535 | |||||||||
0 | 0 | |||||||||
−1.53414 | − | 2.65721i | −0.0594467 | − | 0.102965i | |||||
−18.7084 | −0.724393 | |||||||||
−9.20556 | + | 15.9445i | −0.356174 | + | 0.616911i | |||||
−6.83874 | − | 11.8451i | −0.264401 | − | 0.457956i | |||||
0.929036 | 0.0358918 | |||||||||
−37.2718 | −1.43886 | |||||||||
0 | 0 | |||||||||
3.54980 | + | 6.14843i | 0.136835 | + | 0.237005i | 0.926297 | − | 0.376795i | ||
−0.789462 | + | 0.613799i | ||||||||
−2.14498 | + | 3.71521i | −0.0826214 | + | 0.143104i | |||||
4.19145 | − | 7.25980i | 0.161329 | − | 0.279430i | |||||
−11.7610 | + | 22.1349i | −0.452348 | + | 0.851341i | |||||
−25.2010 | − | 43.6494i | −0.968552 | − | 1.67758i | −0.699752 | − | 0.714386i | ||
−0.268800 | − | 0.963196i | ||||||||
1.23221 | + | 2.13426i | 0.0473229 | + | 0.0819657i | |||||
0 | 0 | |||||||||
1.05914 | − | 1.83449i | 0.0406162 | − | 0.0703493i | |||||
8.79213 | + | 15.2284i | 0.336915 | + | 0.583554i | |||||
1.35129 | + | 2.34050i | 0.0517435 | + | 0.0896224i | |||||
−13.7641 | − | 23.8401i | −0.526669 | − | 0.912217i | −0.999517 | − | 0.0310735i | ||
0.472848 | − | 0.881144i | ||||||||
−12.2372 | − | 21.1954i | −0.467901 | − | 0.810428i | |||||
−12.8556 | + | 22.2665i | −0.491186 | + | 0.850760i | |||||
0 | 0 | |||||||||
4.95019 | + | 8.57398i | 0.188861 | + | 0.327118i | |||||
4.01958 | + | 6.96212i | 0.153245 | + | 0.265428i | |||||
−28.6765 | + | 17.2362i | −1.09249 | + | 0.656649i | |||||
−3.12280 | + | 5.40885i | −0.118883 | + | 0.205912i | |||||
−12.1669 | + | 21.0737i | −0.462851 | + | 0.801682i | −0.999102 | − | 0.0423772i | ||
0.536251 | + | 0.844059i | ||||||||
−10.7315 | − | 18.5875i | −0.407950 | − | 0.706591i | |||||
0 | 0 | |||||||||
6.11884 | 0.232268 | |||||||||
14.2064 | 0.538879 | |||||||||
−1.41556 | − | 2.45182i | −0.0536566 | − | 0.0929360i | |||||
0.956829 | − | 1.65728i | 0.0362425 | − | 0.0627738i | |||||
−6.08704 | −0.230398 | |||||||||
−11.5733 | − | 20.0456i | −0.437744 | − | 0.758195i | |||||
0 | 0 | |||||||||
−20.5588 | −0.776495 | −0.388248 | − | 0.921555i | ||||||
−0.388248 | + | 0.921555i | ||||||||
−4.44515 | + | 2.67180i | −0.167771 | + | 0.100840i | |||||
−25.3234 | + | 43.8613i | −0.955088 | + | 1.65426i | |||||
−24.9621 | −0.940795 | |||||||||
1.92751 | − | 3.33854i | 0.0725940 | − | 0.125737i | |||||
3.65513 | − | 6.33088i | 0.137563 | − | 0.238266i | |||||
0 | 0 | |||||||||
9.88062 | − | 17.1137i | 0.371336 | − | 0.643174i | |||||
40.9089 | 1.53637 | 0.768183 | − | 0.640230i | ||||||
0.768183 | + | 0.640230i | ||||||||
4.22981 | − | 7.32624i | 0.158742 | − | 0.274949i | |||||
5.24388 | + | 9.08267i | 0.196661 | + | 0.340627i | |||||
4.03543 | − | 6.98956i | 0.151234 | − | 0.261945i | |||||
10.1602 | + | 17.5980i | 0.380503 | + | 0.659051i | |||||
0 | 0 | |||||||||
−0.641405 | − | 36.4418i | −0.0239872 | − | 1.36284i | |||||
−12.1890 | − | 21.1119i | −0.455524 | − | 0.788990i | |||||
18.9198 | 0.706572 | |||||||||
3.86802 | 0.144353 | |||||||||
1.19947 | 0.0447326 | 0.0223663 | − | 0.999750i | ||||||
0.0223663 | + | 0.999750i | ||||||||
−15.5047 | −0.577826 | |||||||||
0 | 0 | |||||||||
4.98433 | − | 8.63311i | 0.185497 | − | 0.321291i | |||||
−9.37311 | − | 16.2347i | −0.348590 | − | 0.603775i | |||||
−14.3796 | − | 24.9063i | −0.534415 | − | 0.925634i | |||||
3.67478 | 0.136478 | |||||||||
0.700425 | − | 1.21317i | 0.0259952 | − | 0.0450250i | |||||
2.06230 | 0.0764865 | 0.0382433 | − | 0.999268i | ||||||
0.0382433 | + | 0.999268i | ||||||||
0 | 0 | |||||||||
20.1764 | 0.747273 | |||||||||
−0.263961 | + | 0.457194i | −0.00976964 | + | 0.0169215i | |||||
1.76605 | 0.0653197 | |||||||||
−10.4082 | − | 18.0275i | −0.384697 | − | 0.666315i | |||||
15.0310 | + | 26.0345i | 0.555184 | + | 0.961606i | 0.997889 | + | 0.0649392i | ||
−0.442706 | + | 0.896667i | ||||||||
1.52720 | − | 2.64520i | 0.0563702 | − | 0.0976360i | |||||
0 | 0 | |||||||||
24.3801 | 0.898662 | |||||||||
−5.33721 | −0.196599 | |||||||||
1.10680 | 0.0407420 | |||||||||
44.2548 | 1.62794 | 0.813969 | − | 0.580908i | ||||||
0.813969 | + | 0.580908i | ||||||||
16.6880 | + | 28.9044i | 0.613461 | + | 1.06255i | |||||
27.0186 | + | 14.9715i | 0.992553 | + | 0.549992i | |||||
0 | 0 | |||||||||
4.31326 | + | 7.47078i | 0.158238 | + | 0.274076i | 0.934233 | − | 0.356662i | ||
−0.775995 | + | 0.630739i | ||||||||
−1.53753 | + | 2.66308i | −0.0563686 | + | 0.0976334i | |||||
−23.6515 | − | 40.9656i | −0.866524 | − | 1.50086i | |||||
−4.15097 | + | 7.18969i | −0.151978 | + | 0.263233i | |||||
−1.81702 | −0.0664814 | |||||||||
−2.98665 | + | 5.17302i | −0.109203 | + | 0.189144i | |||||
0 | 0 | |||||||||
−1.34936 | + | 2.33715i | −0.0492715 | + | 0.0853408i | |||||
−2.86105 | + | 4.95549i | −0.104401 | + | 0.180828i | −0.913493 | − | 0.406853i | ||
0.809092 | + | 0.587682i | ||||||||
−4.70512 | −0.171578 | |||||||||
−11.6763 | + | 20.2239i | −0.425506 | + | 0.736998i | |||||
−1.98862 | − | 1.10193i | −0.0724211 | − | 0.0401299i | |||||
4.11765 | 0.149857 | |||||||||
0 | 0 | |||||||||
17.3611 | + | 30.0703i | 0.631000 | + | 1.09292i | 0.987348 | + | 0.158571i | ||
−0.356347 | + | 0.934354i | ||||||||
−2.83853 | −0.103100 | |||||||||
17.9402 | − | 31.0733i | 0.651187 | − | 1.12789i | |||||
−10.1115 | − | 17.5137i | −0.366783 | − | 0.635287i | |||||
53.1735 | 1.92754 | 0.963768 | − | 0.266741i | ||||||
0.963768 | + | 0.266741i | ||||||||
−0.547981 | −0.0198513 | |||||||||
0 | 0 | |||||||||
−13.6226 | − | 23.5951i | −0.492849 | − | 0.853640i | |||||
−1.70304 | + | 2.94976i | −0.0615736 | + | 0.106649i | |||||
−4.12265 | + | 7.14063i | −0.148957 | + | 0.258002i | |||||
−0.568946 | − | 32.3249i | −0.0205434 | − | 1.16719i | |||||
−6.03145 | − | 10.4468i | −0.217641 | − | 0.376966i | |||||
2.45578 | + | 4.25354i | 0.0885578 | + | 0.153387i | 0.906902 | − | 0.421342i | ||
−0.818344 | + | 0.574729i | ||||||||
0 | 0 | |||||||||
7.87414 | − | 13.6384i | 0.283580 | − | 0.491175i | |||||
3.75455 | + | 6.50306i | 0.135129 | + | 0.234050i | |||||
−11.4903 | − | 19.9018i | −0.413279 | − | 0.715819i | 0.581967 | − | 0.813212i | ||
−0.995246 | + | 0.0973926i | ||||||||
0.510715 | + | 0.884585i | 0.0183573 | + | 0.0317957i | |||||
−1.99571 | − | 3.45667i | −0.0716881 | − | 0.124167i | |||||
−1.24913 | + | 2.16356i | −0.0448413 | + | 0.0776674i | |||||
0 | 0 | |||||||||
−2.19589 | − | 3.80339i | −0.0787264 | − | 0.136358i | |||||
−9.13476 | − | 15.8219i | −0.327287 | − | 0.566877i | |||||
17.4469 | − | 10.4866i | 0.624699 | − | 0.375481i | |||||
−24.2998 | + | 42.0885i | −0.869515 | + | 1.50604i | |||||
0.837302 | − | 1.45025i | 0.0299419 | − | 0.0518608i | |||||
6.30821 | + | 10.9261i | 0.225437 | + | 0.390469i | |||||
0 | 0 | |||||||||
4.21648 | 0.150493 | |||||||||
−1.95862 | −0.0698616 | |||||||||
−1.59387 | − | 2.76067i | −0.0568154 | − | 0.0984071i | 0.836219 | − | 0.548396i | ||
−0.893034 | + | 0.449989i | ||||||||
−11.2880 | + | 19.5514i | −0.402119 | + | 0.696490i | |||||
29.6237 | 1.05463 | |||||||||
2.12684 | + | 3.68380i | 0.0756696 | + | 0.131064i | |||||
0 | 0 | |||||||||
−7.03836 | −0.250097 | |||||||||
−29.7886 | − | 16.5064i | −1.05782 | − | 0.586159i | |||||
2.12927 | − | 3.68800i | 0.0755650 | − | 0.130882i | |||||
27.1715 | 0.963674 | |||||||||
−3.37114 | + | 5.83899i | −0.119487 | + | 0.206958i | |||||
27.3255 | − | 47.3291i | 0.967918 | − | 1.67648i | 0.266355 | − | 0.963875i | ||
0.701562 | − | 0.712608i | ||||||||
0 | 0 | |||||||||
−0.516813 | + | 0.895146i | −0.0182835 | + | 0.0316680i | |||||
−4.78884 | −0.169311 | |||||||||
−6.48875 | + | 11.2388i | −0.229269 | + | 0.397105i | |||||
0.889604 | + | 1.54084i | 0.0314130 | + | 0.0544089i | |||||
1.51643 | − | 2.62653i | 0.0535136 | − | 0.0926883i | |||||
−1.49042 | − | 2.58148i | −0.0525630 | − | 0.0910418i | |||||
0 | 0 | |||||||||
0.0434569 | + | 2.46902i | 0.00153070 | + | 0.0869677i | |||||
−17.1832 | − | 29.7622i | −0.604877 | − | 1.04768i | |||||
0.839768 | 0.0295429 | |||||||||
−20.2995 | −0.713694 | −0.356847 | − | 0.934163i | ||||||
−0.356847 | + | 0.934163i | ||||||||
0.722151 | 0.0253738 | |||||||||
−2.43587 | −0.0855350 | −0.0427675 | − | 0.999085i | ||||||
−0.0427675 | + | 0.999085i | ||||||||
0 | 0 | |||||||||
8.25855 | − | 14.3042i | 0.289640 | − | 0.501671i | |||||
3.57461 | + | 6.19141i | 0.125290 | + | 0.217009i | |||||
8.38742 | + | 14.5274i | 0.293799 | + | 0.508874i | |||||
−3.20706 | −0.112270 | |||||||||
8.43015 | − | 14.6015i | 0.294934 | − | 0.510840i | |||||
1.57452 | 0.0550519 | |||||||||
0 | 0 | |||||||||
−12.0395 | −0.420438 | |||||||||
−22.6762 | + | 39.2763i | −0.791405 | + | 1.37075i | 0.133692 | + | 0.991023i | ||
−0.925097 | + | 0.379731i | ||||||||
−3.07589 | −0.107284 | |||||||||
1.37871 | + | 2.38800i | 0.0480588 | + | 0.0832403i | 0.889054 | − | 0.457802i | ||
−0.840995 | + | 0.541042i | ||||||||
1.14074 | + | 1.97581i | 0.0397394 | + | 0.0688307i | |||||
−3.52388 | + | 6.10354i | −0.122686 | + | 0.212498i | |||||
0 | 0 | |||||||||
−8.64504 | −0.300618 | −0.150309 | − | 0.988639i | ||||||
−0.150309 | + | 0.988639i | ||||||||
−25.9761 | −0.902733 | |||||||||
29.5741 | 1.02715 | 0.513576 | − | 0.858044i | ||||||
0.513576 | + | 0.858044i | ||||||||
−0.736958 | −0.0255802 | |||||||||
8.75858 | + | 15.1703i | 0.303832 | + | 0.526252i | |||||
−19.9503 | − | 11.0548i | −0.691653 | − | 0.383258i | |||||
0 | 0 | |||||||||
0.849774 | + | 1.47185i | 0.0294253 | + | 0.0509660i | |||||
12.2308 | − | 21.1844i | 0.423266 | − | 0.733117i | |||||
28.5132 | + | 49.3863i | 0.986150 | + | 1.70806i | |||||
6.85177 | − | 11.8676i | 0.236832 | − | 0.410204i | |||||
−8.08191 | −0.279185 | |||||||||
12.6236 | − | 21.8648i | 0.435817 | − | 0.754857i | −0.561545 | − | 0.827446i | ||
0.997362 | + | 0.0725895i | ||||||||
0 | 0 | |||||||||
11.7347 | − | 20.3251i | 0.404644 | − | 0.700865i | |||||
5.37028 | − | 9.30159i | 0.185072 | − | 0.320554i | |||||
6.04971 | 0.208363 | |||||||||
18.3220 | − | 31.7346i | 0.630669 | − | 1.09235i | |||||
15.6262 | − | 29.4092i | 0.537556 | − | 1.01171i | |||||
−0.597818 | −0.0205534 | |||||||||
0 | 0 | |||||||||
−16.5817 | − | 28.7204i | −0.569418 | − | 0.986261i | |||||
35.1870 | 1.20761 | |||||||||
−0.164466 | + | 0.284864i | −0.00564115 | + | 0.00977076i | |||||
26.8772 | + | 46.5526i | 0.921338 | + | 1.59580i | |||||
−27.1429 | −0.929901 | |||||||||
35.1368 | 1.20306 | 0.601531 | − | 0.798850i | ||||||
0.601531 | + | 0.798850i | ||||||||
0 | 0 | |||||||||
16.2588 | + | 28.1610i | 0.556039 | + | 0.963087i | |||||
6.06986 | − | 10.5133i | 0.207463 | − | 0.359337i | |||||
−0.671345 | + | 1.16280i | −0.0229327 | + | 0.0397206i | −0.877264 | − | 0.480008i | ||
0.854331 | + | 0.519729i | ||||||||
3.73718 | − | 2.24626i | 0.127585 | − | 0.0766862i | |||||
2.38386 | + | 4.12897i | 0.0813363 | + | 0.140879i | 0.903824 | − | 0.427904i | ||
−0.822488 | + | 0.568783i | ||||||||
−5.55542 | − | 9.62228i | −0.189438 | − | 0.328117i | |||||
0 | 0 | |||||||||
−0.524972 | + | 0.909278i | −0.0178806 | + | 0.0309701i | |||||
13.3052 | + | 23.0453i | 0.452915 | + | 0.784472i | 0.998566 | − | 0.0535407i | ||
−0.545650 | + | 0.838013i | ||||||||
−8.22062 | − | 14.2385i | −0.279671 | − | 0.484405i | |||||
14.2583 | + | 24.6960i | 0.484795 | + | 0.839690i | |||||
5.46875 | + | 9.47216i | 0.185836 | + | 0.321877i | |||||
9.36331 | − | 16.2177i | 0.317995 | − | 0.550783i | |||||
0 | 0 | |||||||||
−12.2185 | − | 21.1630i | −0.414484 | − | 0.717907i | |||||
0.923171 | + | 1.59898i | 0.0312984 | + | 0.0542105i | |||||
−4.26563 | − | 2.36366i | −0.144535 | − | 0.0800897i | |||||
−4.25410 | + | 7.36831i | −0.144062 | + | 0.249523i | |||||
2.00854 | − | 3.47890i | 0.0679788 | − | 0.117743i | |||||
−7.99364 | − | 13.8454i | −0.270389 | − | 0.468328i | |||||
0 | 0 | |||||||||
1.69385 | 0.0572300 | |||||||||
8.03696 | 0.271389 | 0.135695 | − | 0.990751i | ||||||
0.135695 | + | 0.990751i | ||||||||
3.42694 | + | 5.93564i | 0.115654 | + | 0.200318i | |||||
−10.0112 | + | 17.3399i | −0.337670 | + | 0.584861i | |||||
36.1266 | 1.21783 | |||||||||
−27.3349 | − | 47.3454i | −0.920935 | − | 1.59511i | −0.797971 | − | 0.602695i | ||
−0.122964 | − | 0.992411i | ||||||||
0 | 0 | |||||||||
−8.45085 | −0.284394 | −0.142197 | − | 0.989838i | ||||||
−0.142197 | + | 0.989838i | ||||||||
−4.67795 | + | 2.81172i | −0.157337 | + | 0.0945685i | |||||
−13.1277 | + | 22.7379i | −0.441284 | + | 0.764327i | |||||
7.36176 | 0.247323 | |||||||||
−5.17784 | + | 8.96829i | −0.173855 | + | 0.301126i | −0.939764 | − | 0.341823i | ||
0.765909 | + | 0.642948i | ||||||||
−4.06729 | + | 7.04475i | −0.136489 | + | 0.236406i | |||||
0 | 0 | |||||||||
−2.63174 | + | 4.55831i | −0.0882162 | + | 0.152795i | |||||
−4.14868 | −0.138986 | |||||||||
11.5361 | − | 19.9811i | 0.386256 | − | 0.669016i | |||||
4.93396 | + | 8.54587i | 0.165109 | + | 0.285977i | |||||
2.82949 | − | 4.90082i | 0.0946323 | − | 0.163908i | |||||
16.1947 | + | 28.0501i | 0.541330 | + | 0.937611i | |||||
0 | 0 | |||||||||
28.0995 | − | 16.8895i | 0.938215 | − | 0.563923i | |||||
−1.98461 | − | 3.43745i | −0.0662274 | − | 0.114709i | |||||
6.00718 | 0.200351 | |||||||||
5.10234 | 0.170078 | |||||||||
−7.28536 | −0.242711 | |||||||||
−2.57890 | −0.0858680 | |||||||||
0 | 0 | |||||||||
−4.23468 | + | 7.33467i | −0.140843 | + | 0.243948i | |||||
19.1053 | + | 33.0914i | 0.635082 | + | 1.09999i | |||||
0.246303 | + | 0.426609i | 0.00818287 | + | 0.0141731i | |||||
18.4804 | 0.613631 | 0.306815 | − | 0.951769i | ||||||
0.306815 | + | 0.951769i | ||||||||
−14.8312 | + | 25.6884i | −0.492190 | + | 0.852498i | |||||
−1.35030 | −0.0447867 | |||||||||
0 | 0 | |||||||||
−26.6282 | −0.882230 | −0.441115 | − | 0.897451i | ||||||
−0.441115 | + | 0.897451i | ||||||||
−15.3088 | + | 26.5155i | −0.506924 | + | 0.878017i | |||||
4.23374 | 0.140116 | |||||||||
−0.0874022 | − | 0.151385i | −0.00289101 | − | 0.00500737i | |||||
13.8287 | + | 23.9520i | 0.457162 | + | 0.791828i | |||||
−8.35033 | + | 14.4632i | −0.275903 | + | 0.477877i | |||||
0 | 0 | |||||||||
−1.12931 | −0.0372727 | |||||||||
−11.1493 | −0.367783 | −0.183891 | − | 0.982947i | ||||||
−0.183891 | + | 0.982947i | ||||||||
−21.4639 | −0.707644 | |||||||||
9.87072 | 0.325251 | |||||||||
−1.67518 | − | 2.90149i | −0.0551690 | − | 0.0955555i | |||||
−38.0605 | + | 22.8766i | −1.25278 | + | 0.752993i | |||||
0 | 0 | |||||||||
−5.27933 | − | 9.14406i | −0.173583 | − | 0.300655i | |||||
−0.0414927 | + | 0.0718675i | −0.00136354 | + | 0.00236171i | |||||
−1.83424 | − | 3.17700i | −0.0602445 | − | 0.104347i | |||||
3.60365 | − | 6.24170i | 0.118296 | − | 0.204894i | |||||
−7.74510 | −0.254108 | −0.127054 | − | 0.991896i | ||||||
−0.127054 | + | 0.991896i | ||||||||
1.00272 | − | 1.73676i | 0.0328804 | − | 0.0569505i | |||||
0 | 0 | |||||||||
19.5227 | − | 33.8144i | 0.639489 | − | 1.10763i | |||||
−9.38559 | + | 16.2563i | −0.307270 | + | 0.532208i | |||||
6.56299 | 0.214748 | |||||||||
3.96817 | − | 6.87306i | 0.129773 | − | 0.224773i | |||||
−5.62523 | − | 3.11704i | −0.183866 | − | 0.101884i | |||||
−36.4239 | −1.18992 | −0.594959 | − | 0.803756i | ||||||
−0.594959 | + | 0.803756i | ||||||||
0 | 0 | |||||||||
5.74143 | + | 9.94445i | 0.187364 | + | 0.324525i | |||||
6.50291 | 0.212101 | |||||||||
−9.89466 | + | 17.1381i | −0.322557 | + | 0.558685i | −0.981015 | − | 0.193933i | ||
0.658458 | + | 0.752617i | ||||||||
0.252214 | + | 0.436848i | 0.00821759 | + | 0.0142333i | |||||
−19.3905 | −0.631442 | |||||||||
32.0454 | 1.04299 | |||||||||
0 | 0 | |||||||||
−1.18999 | − | 2.06112i | −0.0386899 | − | 0.0670129i | |||||
−4.97398 | + | 8.61519i | −0.161633 | + | 0.279956i | −0.935454 | − | 0.353448i | ||
0.773822 | + | 0.633403i | ||||||||
6.82403 | − | 11.8196i | 0.221634 | − | 0.383882i | |||||
2.37517 | − | 1.42762i | 0.0771012 | − | 0.0463424i | |||||
1.57014 | + | 2.71957i | 0.0509422 | + | 0.0882345i | |||||
−5.79790 | − | 10.0423i | −0.188010 | − | 0.325643i | |||||
0 | 0 | |||||||||
−0.0105567 | + | 0.0182847i | −0.000341965 | + | 0.000592300i | −0.866196 | − | 0.499704i | ||
0.865854 | + | 0.500296i | ||||||||
−2.10682 | − | 3.64912i | −0.0682108 | − | 0.118144i | |||||
18.0995 | + | 31.3493i | 0.585686 | + | 1.01444i | |||||
15.9576 | + | 27.6394i | 0.516106 | + | 0.893922i | |||||
−5.30352 | − | 9.18596i | −0.171438 | − | 0.296940i | |||||
−1.09107 | + | 1.88979i | −0.0352508 | + | 0.0610562i | |||||
0 | 0 | |||||||||
9.26150 | + | 16.0414i | 0.298914 | + | 0.517733i | |||||
12.2376 | + | 21.1962i | 0.394761 | + | 0.683747i | |||||
0.114958 | + | 6.53140i | 0.00370640 | + | 0.210581i | |||||
−9.76001 | + | 16.9048i | −0.314512 | + | 0.544751i | |||||
15.8112 | − | 27.3858i | 0.509245 | − | 0.882039i | |||||
−4.98842 | − | 8.64020i | −0.160583 | − | 0.278138i | |||||
0 | 0 | |||||||||
−19.8102 | −0.637053 | −0.318526 | − | 0.947914i | ||||||
−0.318526 | + | 0.947914i | ||||||||
4.81422 | 0.154735 | |||||||||
3.36304 | + | 5.82495i | 0.108036 | + | 0.187124i | |||||
0.814635 | − | 1.41099i | 0.0261563 | − | 0.0453041i | |||||
3.61774 | 0.116099 | 0.0580493 | − | 0.998314i | ||||||
0.0580493 | + | 0.998314i | ||||||||
14.3572 | + | 24.8674i | 0.460508 | + | 0.797622i | |||||
0 | 0 | |||||||||
−1.23595 | −0.0396024 | |||||||||
−5.51942 | + | 3.31750i | −0.176763 | + | 0.106245i | |||||
16.8782 | − | 29.2339i | 0.540258 | − | 0.935755i | |||||
2.16169 | 0.0691586 | 0.0345793 | − | 0.999402i | ||||||
0.0345793 | + | 0.999402i | ||||||||
−1.00341 | + | 1.73796i | −0.0320855 | + | 0.0555737i | |||||
15.1191 | − | 26.1870i | 0.483208 | − | 0.836941i | |||||
0 | 0 | |||||||||
6.84036 | − | 11.8479i | 0.218396 | − | 0.378273i | |||||
−3.49071 | −0.111393 | |||||||||
−15.0545 | + | 26.0752i | −0.480165 | + | 0.831671i | −0.999741 | − | 0.0227535i | ||
0.519576 | + | 0.854424i | ||||||||
−1.46717 | − | 2.54121i | −0.0467717 | − | 0.0810109i | |||||
14.9977 | − | 25.9767i | 0.477865 | − | 0.827687i | |||||
−0.247525 | − | 0.428727i | −0.00788281 | − | 0.0136534i | |||||
0 | 0 | |||||||||
0.916973 | + | 52.0983i | 0.0291728 | + | 1.65747i | |||||
−8.94742 | − | 15.4974i | −0.284511 | − | 0.492788i | |||||
4.59014 | 0.145884 | |||||||||
−27.1460 | −0.862323 | −0.431161 | − | 0.902275i | ||||||
−0.431161 | + | 0.902275i | ||||||||
−7.82832 | −0.248549 | |||||||||
2.65082 | 0.0841213 | |||||||||
0 | 0 | |||||||||
4.47902 | − | 7.75790i | 0.141995 | − | 0.245942i | |||||
1.18227 | + | 2.04776i | 0.0374618 | + | 0.0648858i | |||||
25.4005 | + | 43.9949i | 0.804441 | + | 1.39333i | 0.916668 | + | 0.399650i | ||
−0.112227 | + | 0.993683i | ||||||||
8.66599 | 0.274317 | |||||||||
18.1252 | − | 31.3938i | 0.573456 | − | 0.993256i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 637.2.g.l.263.3 | 12 | ||
7.2 | even | 3 | 637.2.h.l.471.4 | 12 | |||
7.3 | odd | 6 | 637.2.f.k.393.3 | 12 | |||
7.4 | even | 3 | 637.2.f.j.393.3 | 12 | |||
7.5 | odd | 6 | 91.2.h.b.16.4 | yes | 12 | ||
7.6 | odd | 2 | 91.2.g.b.81.3 | yes | 12 | ||
13.9 | even | 3 | 637.2.h.l.165.4 | 12 | |||
21.5 | even | 6 | 819.2.s.d.289.3 | 12 | |||
21.20 | even | 2 | 819.2.n.d.172.4 | 12 | |||
91.3 | odd | 6 | 8281.2.a.bz.1.4 | 6 | |||
91.9 | even | 3 | inner | 637.2.g.l.373.3 | 12 | ||
91.10 | odd | 6 | 8281.2.a.ce.1.3 | 6 | |||
91.48 | odd | 6 | 91.2.h.b.74.4 | yes | 12 | ||
91.55 | odd | 6 | 1183.2.e.h.508.3 | 12 | |||
91.61 | odd | 6 | 91.2.g.b.9.3 | ✓ | 12 | ||
91.62 | odd | 6 | 1183.2.e.g.508.4 | 12 | |||
91.68 | odd | 6 | 1183.2.e.h.170.3 | 12 | |||
91.74 | even | 3 | 637.2.f.j.295.3 | 12 | |||
91.75 | odd | 6 | 1183.2.e.g.170.4 | 12 | |||
91.81 | even | 3 | 8281.2.a.ca.1.4 | 6 | |||
91.87 | odd | 6 | 637.2.f.k.295.3 | 12 | |||
91.88 | even | 6 | 8281.2.a.cf.1.3 | 6 | |||
273.152 | even | 6 | 819.2.n.d.100.4 | 12 | |||
273.230 | even | 6 | 819.2.s.d.802.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.g.b.9.3 | ✓ | 12 | 91.61 | odd | 6 | ||
91.2.g.b.81.3 | yes | 12 | 7.6 | odd | 2 | ||
91.2.h.b.16.4 | yes | 12 | 7.5 | odd | 6 | ||
91.2.h.b.74.4 | yes | 12 | 91.48 | odd | 6 | ||
637.2.f.j.295.3 | 12 | 91.74 | even | 3 | |||
637.2.f.j.393.3 | 12 | 7.4 | even | 3 | |||
637.2.f.k.295.3 | 12 | 91.87 | odd | 6 | |||
637.2.f.k.393.3 | 12 | 7.3 | odd | 6 | |||
637.2.g.l.263.3 | 12 | 1.1 | even | 1 | trivial | ||
637.2.g.l.373.3 | 12 | 91.9 | even | 3 | inner | ||
637.2.h.l.165.4 | 12 | 13.9 | even | 3 | |||
637.2.h.l.471.4 | 12 | 7.2 | even | 3 | |||
819.2.n.d.100.4 | 12 | 273.152 | even | 6 | |||
819.2.n.d.172.4 | 12 | 21.20 | even | 2 | |||
819.2.s.d.289.3 | 12 | 21.5 | even | 6 | |||
819.2.s.d.802.3 | 12 | 273.230 | even | 6 | |||
1183.2.e.g.170.4 | 12 | 91.75 | odd | 6 | |||
1183.2.e.g.508.4 | 12 | 91.62 | odd | 6 | |||
1183.2.e.h.170.3 | 12 | 91.68 | odd | 6 | |||
1183.2.e.h.508.3 | 12 | 91.55 | odd | 6 | |||
8281.2.a.bz.1.4 | 6 | 91.3 | odd | 6 | |||
8281.2.a.ca.1.4 | 6 | 91.81 | even | 3 | |||
8281.2.a.ce.1.3 | 6 | 91.10 | odd | 6 | |||
8281.2.a.cf.1.3 | 6 | 91.88 | even | 6 |