Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(408,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.408");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 845.f (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 | 408.5 | ||
Character | 845.408 | ||
Dual form | 845.2.f.f.437.32 |
-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 .
− | 2.37242i | − | 1.67755i | −0.544475 | − | 0.838777i | ||||
0.544475 | − | 0.838777i | ||||||||
1.65235 | + | 1.65235i | 0.953987 | + | 0.953987i | 0.998987 | − | 0.0449999i | ||
−0.0449999 | + | 0.998987i | ||||||||
−3.62837 | −1.81419 | |||||||||
−0.598181 | + | 2.15457i | −0.267515 | + | 0.963554i | |||||
3.92008 | − | 3.92008i | 1.60036 | − | 1.60036i | |||||
−3.73834 | −1.41296 | −0.706479 | − | 0.707734i | ||||||
−0.706479 | + | 0.707734i | ||||||||
3.86318i | 1.36584i | |||||||||
2.46055i | 0.820183i | |||||||||
5.11155 | + | 1.41914i | 1.61641 | + | 0.448770i | |||||
−1.27726 | − | 1.27726i | −0.385109 | − | 0.385109i | 0.487830 | − | 0.872939i | ||
−0.872939 | + | 0.487830i | ||||||||
−5.99536 | − | 5.99536i | −1.73071 | − | 1.73071i | |||||
0 | 0 | |||||||||
8.86890i | 2.37031i | |||||||||
−4.54852 | + | 2.57171i | −1.17442 | + | 0.664012i | |||||
1.90834 | 0.477085 | |||||||||
−0.272435 | − | 0.272435i | −0.0660752 | − | 0.0660752i | 0.673297 | − | 0.739372i | ||
−0.739372 | + | 0.673297i | ||||||||
5.83745 | 1.37590 | |||||||||
−3.87278 | − | 3.87278i | −0.888477 | − | 0.888477i | 0.105900 | − | 0.994377i | ||
−0.994377 | + | 0.105900i | ||||||||
2.17042 | − | 7.81759i | 0.485321 | − | 1.74807i | |||||
−6.17706 | − | 6.17706i | −1.34794 | − | 1.34794i | |||||
−3.03020 | + | 3.03020i | −0.646041 | + | 0.646041i | |||||
−6.53419 | + | 6.53419i | −1.36247 | + | 1.36247i | −0.491718 | + | 0.870755i | ||
−0.870755 | + | 0.491718i | ||||||||
−6.38334 | + | 6.38334i | −1.30299 | + | 1.30299i | |||||
−4.28436 | − | 2.57765i | −0.856872 | − | 0.515529i | |||||
0 | 0 | |||||||||
0.891365 | − | 0.891365i | 0.171543 | − | 0.171543i | |||||
13.5641 | 2.56337 | |||||||||
− | 0.764574i | − | 0.141978i | −0.997477 | − | 0.0709889i | ||||
0.997477 | − | 0.0709889i | ||||||||
6.10117 | + | 10.7910i | 1.11392 | + | 1.97016i | |||||
−3.27268 | + | 3.27268i | −0.587792 | + | 0.587792i | −0.937033 | − | 0.349241i | ||
0.349241 | + | 0.937033i | ||||||||
3.19898i | 0.565506i | |||||||||
− | 4.22098i | − | 0.734779i | |||||||
−0.646330 | + | 0.646330i | −0.110845 | + | 0.110845i | |||||
2.23620 | − | 8.05452i | 0.377987 | − | 1.36146i | |||||
− | 8.92778i | − | 1.48796i | |||||||
1.15622 | 0.190081 | 0.0950403 | − | 0.995473i | ||||||
0.0950403 | + | 0.995473i | ||||||||
−9.18786 | + | 9.18786i | −1.49047 | + | 1.49047i | |||||
0 | 0 | |||||||||
−8.32350 | − | 2.31088i | −1.31606 | − | 0.365382i | |||||
2.15688 | − | 2.15688i | 0.336848 | − | 0.336848i | −0.518332 | − | 0.855180i | ||
0.855180 | + | 0.518332i | ||||||||
−14.6546 | + | 14.6546i | −2.26125 | + | 2.26125i | |||||
−1.33870 | + | 1.33870i | −0.204150 | + | 0.204150i | −0.801775 | − | 0.597626i | ||
0.597626 | + | 0.801775i | ||||||||
4.63438 | + | 4.63438i | 0.698660 | + | 0.698660i | |||||
−5.30143 | − | 1.47185i | −0.790290 | − | 0.219411i | |||||
15.5018 | + | 15.5018i | 2.28562 | + | 2.28562i | |||||
1.94248 | 0.283340 | 0.141670 | − | 0.989914i | ||||||
0.141670 | + | 0.989914i | ||||||||
3.15325 | + | 3.15325i | 0.455133 | + | 0.455133i | |||||
6.97517 | 0.996453 | |||||||||
−6.11526 | + | 10.1643i | −0.864828 | + | 1.43745i | |||||
− | 0.900318i | − | 0.126070i | |||||||
0 | 0 | |||||||||
−1.18715 | − | 1.18715i | −0.163068 | − | 0.163068i | 0.620856 | − | 0.783924i | ||
−0.783924 | + | 0.620856i | ||||||||
−2.11469 | − | 2.11469i | −0.287773 | − | 0.287773i | |||||
3.51599 | − | 1.98792i | 0.474096 | − | 0.268051i | |||||
− | 14.4419i | − | 1.92988i | |||||||
− | 12.7984i | − | 1.69519i | |||||||
−1.81389 | −0.238175 | |||||||||
−4.50612 | + | 4.50612i | −0.586647 | + | 0.586647i | −0.936722 | − | 0.350075i | ||
0.350075 | + | 0.936722i | ||||||||
16.5037 | − | 9.33112i | 2.13062 | − | 1.20464i | |||||
−3.71664 | −0.475867 | −0.237933 | − | 0.971281i | ||||||
−0.237933 | + | 0.971281i | ||||||||
7.76418 | + | 7.76418i | 0.986052 | + | 0.986052i | |||||
− | 9.19836i | − | 1.15888i | |||||||
11.4060 | 1.42575 | |||||||||
0 | 0 | |||||||||
−10.0139 | −1.23263 | |||||||||
11.0561i | 1.35072i | 0.737487 | + | 0.675361i | ||||||
−0.737487 | + | 0.675361i | ||||||||
0.988496 | + | 0.988496i | 0.119873 | + | 0.119873i | |||||
−21.5936 | −2.59956 | |||||||||
−19.1087 | − | 5.30521i | −2.28393 | − | 0.634094i | |||||
−7.84488 | + | 7.84488i | −0.931016 | + | 0.931016i | −0.997770 | − | 0.0667534i | ||
0.0667534 | + | 0.997770i | ||||||||
−9.50554 | −1.12024 | |||||||||
− | 4.49691i | − | 0.526323i | −0.964752 | − | 0.263161i | ||||
0.964752 | − | 0.263161i | ||||||||
− | 2.74303i | − | 0.318870i | |||||||
−2.82009 | − | 11.3385i | −0.325636 | − | 1.30925i | |||||
14.0519 | + | 14.0519i | 1.61186 | + | 1.61186i | |||||
4.77484 | + | 4.77484i | 0.544144 | + | 0.544144i | |||||
0 | 0 | |||||||||
7.15052i | 0.804496i | 0.915531 | + | 0.402248i | ||||||
−0.915531 | + | 0.402248i | ||||||||
−1.14153 | + | 4.11165i | −0.127627 | + | 0.459697i | |||||
10.3273 | 1.14748 | |||||||||
−5.11702 | − | 5.11702i | −0.565080 | − | 0.565080i | |||||
11.4388 | 1.25557 | 0.627783 | − | 0.778388i | ||||||
0.627783 | + | 0.778388i | ||||||||
22.4127 | + | 22.4127i | 2.44542 | + | 2.44542i | |||||
0.749946 | − | 0.424015i | 0.0813431 | − | 0.0459909i | |||||
3.17596 | + | 3.17596i | 0.342472 | + | 0.342472i | |||||
1.26335 | − | 1.26335i | 0.135445 | − | 0.135445i | |||||
4.93430 | − | 4.93430i | 0.525998 | − | 0.525998i | |||||
−1.63827 | + | 1.63827i | −0.173656 | + | 0.173656i | −0.788584 | − | 0.614927i | ||
0.614927 | + | 0.788584i | ||||||||
−3.49185 | + | 12.5772i | −0.368074 | + | 1.32575i | |||||
0 | 0 | |||||||||
23.7085 | − | 23.7085i | 2.47178 | − | 2.47178i | |||||
−10.8153 | −1.12149 | |||||||||
− | 4.60838i | − | 0.475318i | |||||||
10.6608 | − | 6.02756i | 1.09378 | − | 0.618415i | |||||
−5.28585 | + | 5.28585i | −0.539485 | + | 0.539485i | |||||
− | 0.882970i | − | 0.0896520i | −0.998995 | − | 0.0448260i | ||||
0.998995 | − | 0.0448260i | ||||||||
− | 16.5480i | − | 1.67160i | |||||||
3.14277 | − | 3.14277i | 0.315860 | − | 0.315860i | |||||
15.5452 | + | 9.35266i | 1.55452 | + | 0.935266i | |||||
− | 7.94189i | − | 0.790248i | −0.918628 | − | 0.395124i | ||||
0.918628 | − | 0.395124i | ||||||||
−2.13593 | −0.211489 | |||||||||
10.7428 | − | 10.7428i | 1.05852 | − | 1.05852i | 0.0603388 | − | 0.998178i | ||
0.998178 | − | 0.0603388i | ||||||||
0 | 0 | |||||||||
17.0039 | − | 9.61392i | 1.65941 | − | 0.938222i | |||||
−2.81643 | + | 2.81643i | −0.273556 | + | 0.273556i | |||||
7.38827 | − | 7.38827i | 0.714251 | − | 0.714251i | −0.253170 | − | 0.967422i | ||
0.967422 | + | 0.253170i | ||||||||
−3.23420 | + | 3.23420i | −0.311211 | + | 0.311211i | |||||
4.13475 | + | 4.13475i | 0.396037 | + | 0.396037i | 0.876833 | − | 0.480796i | ||
−0.480796 | + | 0.876833i | ||||||||
−4.71618 | − | 8.34140i | −0.449670 | − | 0.795321i | |||||
1.91048 | + | 1.91048i | 0.181334 | + | 0.181334i | |||||
−7.13401 | −0.674101 | |||||||||
−10.3692 | − | 10.3692i | −0.975452 | − | 0.975452i | 0.0242536 | − | 0.999706i | ||
−0.999706 | + | 0.0242536i | ||||||||
−30.3632 | −2.84377 | |||||||||
−10.1698 | − | 17.9870i | −0.948334 | − | 1.67730i | |||||
2.77416i | 0.257574i | |||||||||
0 | 0 | |||||||||
10.6904 | + | 10.6904i | 0.984132 | + | 0.984132i | |||||
1.01845 | + | 1.01845i | 0.0933616 | + | 0.0933616i | |||||
−9.93497 | − | 17.5718i | −0.906935 | − | 1.60407i | |||||
− | 7.73720i | − | 0.703382i | |||||||
8.81743i | 0.798292i | |||||||||
7.12785 | 0.642697 | |||||||||
11.8745 | − | 11.8745i | 1.06636 | − | 1.06636i | |||||
8.11655 | − | 7.68906i | 0.725966 | − | 0.687730i | |||||
−21.8224 | −1.94409 | |||||||||
4.97319 | + | 4.97319i | 0.441300 | + | 0.441300i | 0.892449 | − | 0.451149i | ||
−0.451149 | + | 0.892449i | ||||||||
− | 20.6619i | − | 1.82627i | |||||||
−4.42401 | −0.389513 | |||||||||
0 | 0 | |||||||||
−9.34748 | −0.816693 | −0.408347 | − | 0.912827i | ||||||
−0.408347 | + | 0.912827i | ||||||||
15.3153i | 1.33302i | |||||||||
14.4778 | + | 14.4778i | 1.25538 | + | 1.25538i | |||||
26.2298 | 2.26591 | |||||||||
1.38731 | + | 2.45371i | 0.119401 | + | 0.211181i | |||||
1.05247 | − | 1.05247i | 0.0902482 | − | 0.0902482i | |||||
13.6982 | 1.17032 | 0.585158 | − | 0.810919i | ||||||
0.585158 | + | 0.810919i | ||||||||
51.2290i | 4.36090i | |||||||||
8.98600i | 0.762182i | 0.924537 | + | 0.381091i | ||||||
−0.924537 | + | 0.381091i | ||||||||
−8.11377 | + | 29.2248i | −0.685739 | + | 2.46994i | |||||
3.20967 | + | 3.20967i | 0.270303 | + | 0.270303i | |||||
18.6113 | + | 18.6113i | 1.56183 | + | 1.56183i | |||||
0 | 0 | |||||||||
4.69556i | 0.391297i | |||||||||
1.64733 | + | 0.457353i | 0.136803 | + | 0.0379811i | |||||
−10.6685 | −0.882935 | |||||||||
11.5255 | + | 11.5255i | 0.950603 | + | 0.950603i | |||||
−4.19518 | −0.344842 | |||||||||
−8.98770 | − | 8.98770i | −0.736301 | − | 0.736301i | 0.235559 | − | 0.971860i | ||
−0.971860 | + | 0.235559i | ||||||||
−26.8996 | + | 6.69044i | −2.19634 | + | 0.546272i | |||||
−2.96123 | − | 2.96123i | −0.240981 | − | 0.240981i | 0.576275 | − | 0.817256i | ||
−0.817256 | + | 0.576275i | ||||||||
14.9612 | − | 14.9612i | 1.21352 | − | 1.21352i | |||||
0.670340 | − | 0.670340i | 0.0541938 | − | 0.0541938i | |||||
11.3279 | − | 11.3279i | 0.912830 | − | 0.912830i | |||||
−5.09358 | − | 9.00889i | −0.409126 | − | 0.723612i | |||||
0 | 0 | |||||||||
−13.0366 | + | 13.0366i | −1.04044 | + | 1.04044i | −0.0412907 | + | 0.999147i | ||
−0.999147 | + | 0.0412907i | ||||||||
16.9640 | 1.34959 | |||||||||
− | 3.92320i | − | 0.311130i | |||||||
−6.89244 | − | 1.91357i | −0.544895 | − | 0.151281i | |||||
24.4270 | − | 24.4270i | 1.92512 | − | 1.92512i | |||||
− | 24.5008i | − | 1.92496i | |||||||
15.8438i | 1.24098i | 0.784213 | + | 0.620492i | ||||||
−0.784213 | + | 0.620492i | ||||||||
−7.82595 | + | 7.82595i | −0.611104 | + | 0.611104i | |||||
9.09441 | + | 2.52491i | 0.707999 | + | 0.196564i | |||||
− | 27.1375i | − | 2.10628i | |||||||
12.4834 | 0.965991 | 0.482996 | − | 0.875623i | ||||||
0.482996 | + | 0.875623i | ||||||||
23.8631 | − | 23.8631i | 1.84108 | − | 1.84108i | |||||
0 | 0 | |||||||||
−1.00594 | − | 1.77919i | −0.0771523 | − | 0.136457i | |||||
9.52916 | − | 9.52916i | 0.728713 | − | 0.728713i | |||||
4.85730 | − | 4.85730i | 0.370366 | − | 0.370366i | |||||
−11.4282 | + | 11.4282i | −0.868870 | + | 0.868870i | −0.992347 | − | 0.123477i | ||
0.123477 | + | 0.992347i | ||||||||
−2.99719 | − | 2.99719i | −0.227216 | − | 0.227216i | |||||
16.0164 | + | 9.63612i | 1.21072 | + | 0.728422i | |||||
−2.43745 | − | 2.43745i | −0.183730 | − | 0.183730i | |||||
−14.8914 | −1.11931 | |||||||||
3.88666 | + | 3.88666i | 0.291318 | + | 0.291318i | |||||
−18.4481 | −1.37888 | −0.689438 | − | 0.724345i | ||||||
−0.689438 | + | 0.724345i | ||||||||
19.2356 | + | 5.34043i | 1.43373 | + | 0.398052i | |||||
− | 2.18983i | − | 0.162769i | −0.996683 | − | 0.0813844i | ||||
0.996683 | − | 0.0813844i | ||||||||
0 | 0 | |||||||||
−6.14120 | − | 6.14120i | −0.453971 | − | 0.453971i | |||||
−25.2427 | − | 25.2427i | −1.86092 | − | 1.86092i | |||||
−0.691626 | + | 2.49115i | −0.0508493 | + | 0.183153i | |||||
25.6583i | 1.88136i | |||||||||
0.695942i | 0.0508923i | |||||||||
−7.04805 | −0.514032 | |||||||||
−3.33222 | + | 3.33222i | −0.242384 | + | 0.242384i | |||||
−14.2999 | − | 25.2919i | −1.03742 | − | 1.83487i | |||||
8.14632 | 0.589447 | 0.294724 | − | 0.955583i | ||||||
0.294724 | + | 0.955583i | ||||||||
18.8468 | + | 18.8468i | 1.36015 | + | 1.36015i | |||||
23.2471i | 1.67336i | 0.547691 | + | 0.836681i | ||||||
−0.547691 | + | 0.836681i | ||||||||
−2.09477 | −0.150396 | |||||||||
0 | 0 | |||||||||
−25.3085 | −1.80775 | |||||||||
− | 22.0689i | − | 1.57234i | −0.618008 | − | 0.786172i | ||||
0.618008 | − | 0.786172i | ||||||||
−7.45596 | − | 7.45596i | −0.529872 | − | 0.529872i | |||||
8.13701 | 0.576817 | 0.288409 | − | 0.957507i | ||||||
0.288409 | + | 0.957507i | ||||||||
9.95792 | − | 16.5513i | 0.704131 | − | 1.17035i | |||||
−18.2687 | + | 18.2687i | −1.28857 | + | 1.28857i | |||||
−18.8415 | −1.32568 | |||||||||
2.85823i | 0.200609i | |||||||||
3.26669i | 0.228714i | |||||||||
3.35694 | + | 5.93735i | 0.234459 | + | 0.414683i | |||||
−25.4864 | − | 25.4864i | −1.77572 | − | 1.77572i | |||||
−16.0777 | − | 16.0777i | −1.11748 | − | 1.11748i | |||||
0 | 0 | |||||||||
9.89312i | 0.684321i | |||||||||
−22.8082 | − | 40.3404i | −1.57392 | − | 2.78375i | |||||
−24.7734 | −1.70547 | −0.852737 | − | 0.522340i | ||||||
−0.852737 | + | 0.522340i | ||||||||
4.30744 | + | 4.30744i | 0.295836 | + | 0.295836i | |||||
−25.9250 | −1.77635 | |||||||||
−17.5281 | − | 17.5281i | −1.19819 | − | 1.19819i | |||||
−2.08354 | − | 3.68511i | −0.142096 | − | 0.251322i | |||||
3.44350 | + | 3.44350i | 0.234301 | + | 0.234301i | |||||
12.2344 | − | 12.2344i | 0.830525 | − | 0.830525i | |||||
9.80935 | − | 9.80935i | 0.664373 | − | 0.664373i | |||||
7.43048 | − | 7.43048i | 0.502105 | − | 0.502105i | |||||
−12.7573 | + | 7.21291i | −0.860098 | + | 0.486295i | |||||
0 | 0 | |||||||||
4.53245 | − | 4.53245i | 0.304198 | − | 0.304198i | |||||
−29.5220 | −1.97694 | −0.988469 | − | 0.151425i | ||||||
−0.988469 | + | 0.151425i | ||||||||
− | 11.9589i | − | 0.799036i | |||||||
6.34243 | − | 10.5419i | 0.422828 | − | 0.702792i | |||||
−24.6001 | + | 24.6001i | −1.63637 | + | 1.63637i | |||||
7.86679i | 0.522137i | 0.965320 | + | 0.261068i | ||||||
−0.965320 | + | 0.261068i | ||||||||
46.4374i | 3.07539i | |||||||||
−12.4410 | + | 12.4410i | −0.822125 | + | 0.822125i | −0.986412 | − | 0.164288i | ||
0.164288 | + | 0.986412i | ||||||||
−42.6727 | + | 24.1269i | −2.81376 | + | 1.59088i | |||||
15.7795i | 1.03821i | |||||||||
2.95369 | 0.193919 | |||||||||
−1.52992 | + | 1.52992i | −0.100228 | + | 0.100228i | −0.755443 | − | 0.655214i | ||
0.655214 | + | 0.755443i | ||||||||
0 | 0 | |||||||||
−1.16196 | + | 4.18522i | −0.0757976 | + | 0.273013i | |||||
16.3499 | − | 16.3499i | 1.06429 | − | 1.06429i | |||||
−11.8152 | + | 11.8152i | −0.767479 | + | 0.767479i | |||||
2.41620 | − | 2.41620i | 0.156619 | − | 0.156619i | |||||
−7.05936 | − | 7.05936i | −0.456632 | − | 0.456632i | 0.440916 | − | 0.897548i | ||
−0.897548 | + | 0.440916i | ||||||||
−8.68012 | + | 4.90769i | −0.560299 | + | 0.316790i | |||||
−10.2476 | − | 10.2476i | −0.660104 | − | 0.660104i | 0.295300 | − | 0.955405i | ||
−0.955405 | + | 0.295300i | ||||||||
−18.3559 | −1.17996 | |||||||||
14.3903 | + | 14.3903i | 0.923141 | + | 0.923141i | |||||
13.4854 | 0.863311 | |||||||||
−4.17241 | + | 15.0285i | −0.266566 | + | 0.960136i | |||||
− | 16.9102i | − | 1.07816i | |||||||
0 | 0 | |||||||||
−12.6430 | − | 12.6430i | −0.802829 | − | 0.802829i | |||||
18.9009 | + | 18.9009i | 1.19779 | + | 1.19779i | |||||
−18.2417 | − | 19.2559i | −1.15370 | − | 1.21785i | |||||
− | 17.7643i | − | 1.12127i | −0.828062 | − | 0.560636i | ||||
0.828062 | − | 0.560636i | ||||||||
33.3751i | 2.10243i | |||||||||
16.6918 | 1.04940 | |||||||||
11.7985 | − | 11.7985i | 0.740304 | − | 0.740304i | |||||
1.93980 | + | 0.538553i | 0.121475 | + | 0.0337255i | |||||
−26.2066 | −1.63791 | |||||||||
6.37449 | + | 6.37449i | 0.397630 | + | 0.397630i | 0.877396 | − | 0.479767i | ||
−0.479767 | + | 0.877396i | ||||||||
10.4956i | 0.653428i | |||||||||
−4.32232 | −0.268576 | |||||||||
0 | 0 | |||||||||
1.88127 | 0.116448 | |||||||||
22.1761i | 1.37005i | |||||||||
−3.01414 | − | 3.01414i | −0.185860 | − | 0.185860i | 0.608044 | − | 0.793904i | ||
−0.793904 | + | 0.608044i | ||||||||
16.3064 | 1.00359 | |||||||||
3.26794 | − | 1.84768i | 0.200748 | − | 0.113502i | |||||
34.3473 | − | 34.3473i | 2.10597 | − | 2.10597i | |||||
−5.41401 | −0.331332 | |||||||||
− | 40.1158i | − | 2.45046i | |||||||
1.79761i | 0.109602i | 0.998497 | + | 0.0548011i | ||||||
−0.998497 | + | 0.0548011i | ||||||||
5.82122 | − | 3.29129i | 0.354268 | − | 0.200301i | |||||
2.08531 | + | 2.08531i | 0.126674 | + | 0.126674i | 0.767601 | − | 0.640928i | ||
−0.640928 | + | 0.767601i | ||||||||
−0.519898 | − | 0.519898i | −0.0315235 | − | 0.0315235i | |||||
0 | 0 | |||||||||
− | 32.4979i | − | 1.96327i | |||||||
2.17992 | + | 8.76459i | 0.131454 | + | 0.528524i | |||||
78.3496 | 4.71609 | |||||||||
20.1491 | + | 20.1491i | 1.21064 | + | 1.21064i | 0.970815 | + | 0.239829i | ||
0.239829 | + | 0.970815i | ||||||||
21.3186 | 1.27860 | |||||||||
−8.05260 | − | 8.05260i | −0.482097 | − | 0.482097i | |||||
31.1161 | + | 8.63885i | 1.85954 | + | 0.516270i | |||||
2.57874 | + | 2.57874i | 0.153835 | + | 0.153835i | 0.779828 | − | 0.625993i | ||
−0.625993 | + | 0.779828i | ||||||||
7.61468 | − | 7.61468i | 0.453447 | − | 0.453447i | |||||
5.52077 | − | 5.52077i | 0.328176 | − | 0.328176i | −0.523717 | − | 0.851892i | ||
0.851892 | + | 0.523717i | ||||||||
28.4641 | − | 28.4641i | 1.68904 | − | 1.68904i | |||||
27.5751 | + | 7.65576i | 1.63341 | + | 0.453488i | |||||
0 | 0 | |||||||||
−8.06314 | + | 8.06314i | −0.475952 | + | 0.475952i | |||||
−7.87125 | −0.463818 | |||||||||
− | 16.8516i | − | 0.991268i | |||||||
1.08503 | − | 3.90815i | 0.0637154 | − | 0.229495i | |||||
1.45898 | − | 1.45898i | 0.0855269 | − | 0.0855269i | |||||
16.3164i | 0.954848i | |||||||||
− | 22.5598i | − | 1.31796i | −0.752161 | − | 0.658979i | ||||
0.752161 | − | 0.658979i | ||||||||
27.3432 | − | 27.3432i | 1.59469 | − | 1.59469i | |||||
−7.01329 | − | 12.4042i | −0.408329 | − | 0.722203i | |||||
4.46667i | 0.259620i | |||||||||
−2.27701 | −0.132126 | |||||||||
−21.3226 | + | 21.3226i | −1.23518 | + | 1.23518i | |||||
0 | 0 | |||||||||
10.2323 | + | 41.1402i | 0.590765 | + | 2.37523i | |||||
5.00451 | − | 5.00451i | 0.288455 | − | 0.288455i | |||||
−7.02528 | + | 7.02528i | −0.404259 | + | 0.404259i | |||||
13.1228 | − | 13.1228i | 0.753886 | − | 0.753886i | |||||
−7.39057 | − | 7.39057i | −0.423878 | − | 0.423878i | |||||
2.22322 | − | 8.00777i | 0.127301 | − | 0.458523i | |||||
−1.59033 | − | 1.59033i | −0.0909129 | − | 0.0909129i | |||||
−20.4085 | −1.16477 | −0.582387 | − | 0.812912i | ||||||
−0.582387 | + | 0.812912i | ||||||||
−17.3249 | − | 17.3249i | −0.987177 | − | 0.987177i | |||||
35.5017 | 2.01962 | |||||||||
−21.3729 | + | 12.0841i | −1.21390 | + | 0.686331i | |||||
21.3762i | 1.21213i | 0.795413 | + | 0.606067i | ||||||
−0.795413 | + | 0.606067i | ||||||||
0 | 0 | |||||||||
−5.22723 | − | 5.22723i | −0.295461 | − | 0.295461i | 0.543772 | − | 0.839233i | ||
−0.839233 | + | 0.543772i | ||||||||
30.9284 | + | 30.9284i | 1.74539 | + | 1.74539i | |||||
19.8185 | + | 5.50228i | 1.11665 | + | 0.310019i | |||||
− | 25.9447i | − | 1.45951i | |||||||
25.8830i | 1.45373i | 0.686779 | + | 0.726867i | ||||||
−0.686779 | + | 0.726867i | ||||||||
−9.30747 | −0.521937 | |||||||||
−0.976562 | + | 0.976562i | −0.0546770 | + | 0.0546770i | |||||
−6.82285 | + | 24.5751i | −0.381409 | + | 1.37379i | |||||
24.4161 | 1.36277 | |||||||||
−57.9511 | − | 57.9511i | −3.22949 | − | 3.22949i | |||||
2.11016i | 0.117413i | |||||||||
−37.4715 | −2.08175 | |||||||||
0 | 0 | |||||||||
37.5882 | 2.08182 | |||||||||
13.6641i | 0.755628i | |||||||||
8.33241 | + | 8.33241i | 0.460080 | + | 0.460080i | |||||
−7.26165 | −0.400348 | |||||||||
5.99015 | − | 21.5757i | 0.329747 | − | 1.18771i | |||||
−7.44156 | + | 7.44156i | −0.409025 | + | 0.409025i | −0.881398 | − | 0.472374i | ||
0.472374 | + | 0.881398i | ||||||||
−41.5041 | −2.27783 | |||||||||
2.84492i | 0.155901i | |||||||||
− | 29.6158i | − | 1.62050i | |||||||
−23.8212 | − | 6.61357i | −1.30149 | − | 0.361338i | |||||
−11.7879 | − | 11.7879i | −0.643084 | − | 0.643084i | |||||
−6.67935 | − | 6.67935i | −0.363847 | − | 0.363847i | 0.501380 | − | 0.865227i | ||
−0.865227 | + | 0.501380i | ||||||||
0 | 0 | |||||||||
− | 34.2672i | − | 1.86114i | |||||||
−2.72108 | + | 1.53849i | −0.147572 | + | 0.0834361i | |||||
8.36016 | 0.452728 | |||||||||
−22.6072 | − | 22.6072i | −1.22246 | − | 1.22246i | |||||
0.0928245 | 0.00501205 | |||||||||
−5.17164 | − | 5.17164i | −0.278836 | − | 0.278836i | |||||
12.9169 | − | 46.5249i | 0.695421 | − | 2.50482i | |||||
27.1125 | + | 27.1125i | 1.45758 | + | 1.45758i | |||||
−5.03872 | + | 5.03872i | −0.270492 | + | 0.270492i | −0.829298 | − | 0.558806i | ||
0.558806 | + | 0.829298i | ||||||||
−4.58389 | + | 4.58389i | −0.245722 | + | 0.245722i | |||||
−23.0603 | + | 23.0603i | −1.23439 | + | 1.23439i | −0.272125 | + | 0.962262i | ||
−0.962262 | + | 0.272125i | ||||||||
22.8609 | − | 37.9976i | 1.22197 | − | 2.03106i | |||||
0 | 0 | |||||||||
4.08594 | − | 4.08594i | 0.217781 | − | 0.217781i | |||||
12.9205 | 0.687688 | 0.343844 | − | 0.939027i | ||||||
0.343844 | + | 0.939027i | ||||||||
35.3287i | 1.87770i | |||||||||
−12.2097 | − | 21.5950i | −0.648024 | − | 1.14614i | |||||
5.94425 | − | 5.94425i | 0.315045 | − | 0.315045i | |||||
3.36569i | 0.178131i | |||||||||
43.7666i | 2.31314i | |||||||||
12.5304 | − | 12.5304i | 0.661330 | − | 0.661330i | −0.294364 | − | 0.955693i | ||
0.955693 | + | 0.294364i | ||||||||
5.68603 | − | 20.4804i | 0.299680 | − | 1.07941i | |||||
10.9968i | 0.578781i | |||||||||
−5.19520 | −0.273053 | |||||||||
12.7846 | − | 12.7846i | 0.671017 | − | 0.671017i | |||||
0 | 0 | |||||||||
9.68891 | + | 2.68996i | 0.507140 | + | 0.140799i | |||||
−14.5695 | + | 14.5695i | −0.761561 | + | 0.761561i | |||||
−24.6452 | + | 24.6452i | −1.28647 | + | 1.28647i | −0.349552 | + | 0.936917i | ||
−0.936917 | + | 0.349552i | ||||||||
−12.4694 | + | 12.4694i | −0.650015 | + | 0.650015i | |||||
5.30710 | + | 5.30710i | 0.276277 | + | 0.276277i | |||||
5.91005 | + | 1.64083i | 0.307249 | + | 0.0853025i | |||||
4.43799 | + | 4.43799i | 0.230409 | + | 0.230409i | |||||
39.2418 | 2.03459 | |||||||||
10.5600 | + | 10.5600i | 0.546778 | + | 0.546778i | 0.925507 | − | 0.378730i | ||
−0.378730 | + | 0.925507i | ||||||||
1.65107 | 0.0853746 | |||||||||
26.1165 | + | 0.706362i | 1.34865 | + | 0.0364764i | |||||
7.50416i | 0.386997i | |||||||||
0 | 0 | |||||||||
7.90543 | + | 7.90543i | 0.406611 | + | 0.406611i | |||||
−22.9029 | − | 22.9029i | −1.17644 | − | 1.17644i | −0.980645 | − | 0.195796i | ||
−0.195796 | − | 0.980645i | ||||||||
−38.6814 | + | 21.8702i | −1.98431 | + | 1.12192i | |||||
16.4350i | 0.841988i | |||||||||
− | 19.3265i | − | 0.988829i | |||||||
32.2292 | 1.64684 | 0.823418 | − | 0.567435i | ||||||
0.823418 | + | 0.567435i | ||||||||
34.1407 | − | 34.1407i | 1.74224 | − | 1.74224i | |||||
−13.1440 | + | 7.43152i | −0.669878 | + | 0.378745i | |||||
55.1518 | 2.80715 | |||||||||
−3.29394 | − | 3.29394i | −0.167440 | − | 0.167440i | |||||
3.20374i | 0.162645i | |||||||||
11.7818 | 0.597359 | 0.298679 | − | 0.954354i | ||||||
0.298679 | + | 0.954354i | ||||||||
0 | 0 | |||||||||
3.56028 | 0.180051 | |||||||||
26.9463i | 1.36100i | |||||||||
−15.4454 | − | 15.4454i | −0.779115 | − | 0.779115i | |||||
−52.3567 | −2.63769 | |||||||||
−15.4063 | − | 4.27730i | −0.775175 | − | 0.215214i | |||||
−11.4031 | + | 11.4031i | −0.573029 | + | 0.573029i | |||||
8.14777 | 0.408925 | 0.204462 | − | 0.978874i | ||||||
0.204462 | + | 0.978874i | ||||||||
− | 19.3044i | − | 0.967642i | |||||||
47.8448i | 2.39523i | |||||||||
−8.17601 | − | 4.91902i | −0.408800 | − | 0.245951i | |||||
−11.6766 | − | 11.6766i | −0.583101 | − | 0.583101i | 0.352653 | − | 0.935754i | ||
−0.935754 | + | 0.352653i | ||||||||
43.3409 | + | 43.3409i | 2.16165 | + | 2.16165i | |||||
0 | 0 | |||||||||
28.8161i | 1.43366i | |||||||||
−6.17762 | + | 22.2510i | −0.306968 | + | 1.10566i | |||||
6.78093 | 0.336532 | |||||||||
−1.47679 | − | 1.47679i | −0.0732018 | − | 0.0732018i | |||||
3.47809 | 0.172191 | |||||||||
2.98672 | + | 2.98672i | 0.147684 | + | 0.147684i | 0.777082 | − | 0.629399i | ||
−0.629399 | + | 0.777082i | ||||||||
14.0859 | − | 7.96408i | 0.695652 | − | 0.393318i | |||||
22.6343 | + | 22.6343i | 1.11647 | + | 1.11647i | |||||
−38.9788 | + | 38.9788i | −1.92035 | + | 1.92035i | |||||
16.8454 | − | 16.8454i | 0.828908 | − | 0.828908i | |||||
−38.1430 | + | 38.1430i | −1.87463 | + | 1.87463i | |||||
−6.84245 | + | 24.6456i | −0.335882 | + | 1.20981i | |||||
0 | 0 | |||||||||
−14.8481 | + | 14.8481i | −0.727112 | + | 0.727112i | |||||
23.4706 | 1.14799 | |||||||||
− | 17.0792i | − | 0.834371i | −0.908821 | − | 0.417186i | ||||
0.908821 | − | 0.417186i | ||||||||
−61.6965 | + | 34.8829i | −3.01048 | + | 1.70211i | |||||
9.26544 | − | 9.26544i | 0.451570 | − | 0.451570i | −0.444305 | − | 0.895875i | ||
0.895875 | + | 0.444305i | ||||||||
58.7730i | 2.86102i | |||||||||
4.77957i | 0.232391i | |||||||||
4.58619 | − | 4.58619i | 0.222725 | − | 0.222725i | |||||
0.464968 | + | 1.86945i | 0.0225543 | + | 0.0906817i | |||||
61.5051i | 2.97993i | |||||||||
13.8941 | 0.672380 | |||||||||
−26.8074 | + | 26.8074i | −1.29578 | + | 1.29578i | |||||
0 | 0 | |||||||||
−8.74262 | + | 4.94303i | −0.421607 | + | 0.238374i | |||||
−7.57641 | + | 7.57641i | −0.364943 | + | 0.364943i | −0.865629 | − | 0.500686i | ||
0.500686 | + | 0.865629i | ||||||||
1.70103 | − | 1.70103i | 0.0818406 | − | 0.0818406i | |||||
−3.61077 | + | 3.61077i | −0.173522 | + | 0.173522i | −0.788525 | − | 0.615003i | ||
0.615003 | + | 0.788525i | ||||||||
−29.0251 | − | 29.0251i | −1.39325 | − | 1.39325i | |||||
1.96626 | + | 3.47768i | 0.0942750 | + | 0.166742i | |||||
−15.0024 | − | 15.0024i | −0.718485 | − | 0.718485i | |||||
50.6109 | 2.42105 | |||||||||
−17.6282 | − | 17.6282i | −0.842309 | − | 0.842309i | |||||
−20.2393 | −0.965969 | −0.482985 | − | 0.875629i | ||||||
−0.482985 | + | 0.875629i | ||||||||
7.67969 | + | 13.5829i | 0.366115 | + | 0.647539i | |||||
17.1627i | 0.817273i | |||||||||
0 | 0 | |||||||||
2.66083 | + | 2.66083i | 0.126420 | + | 0.126420i | 0.767486 | − | 0.641066i | ||
−0.641066 | + | 0.767486i | ||||||||
−6.93192 | − | 6.93192i | −0.328974 | − | 0.328974i | |||||
−2.54979 | − | 4.50975i | −0.120872 | − | 0.213783i | |||||
70.0385i | 3.31642i | |||||||||
− | 29.7017i | − | 1.40484i | |||||||
−42.6395 | −2.01453 | |||||||||
−21.7913 | + | 21.7913i | −1.02839 | + | 1.02839i | −0.0288081 | + | 0.999585i | ||
−0.999585 | + | 0.0288081i | ||||||||
−25.0097 | − | 15.0469i | −1.17897 | − | 0.709317i | |||||
−5.50980 | −0.259446 | |||||||||
37.6233 | + | 37.6233i | 1.76965 | + | 1.76965i | |||||
− | 9.78600i | − | 0.459786i | |||||||
18.6633 | 0.875913 | |||||||||
0 | 0 | |||||||||
49.4426 | 2.31536 | |||||||||
− | 10.1798i | − | 0.476191i | −0.971242 | − | 0.238096i | ||||
0.971242 | − | 0.238096i | ||||||||
29.5153 | + | 29.5153i | 1.37916 | + | 1.37916i | |||||
−0.485678 | −0.0226695 | |||||||||
36.8996 | + | 65.2635i | 1.72045 | + | 3.04293i | |||||
13.6308 | − | 13.6308i | 0.634848 | − | 0.634848i | −0.314432 | − | 0.949280i | ||
0.949280 | + | 0.314432i | ||||||||
37.4355 | 1.74166 | |||||||||
− | 16.7929i | − | 0.780432i | −0.920723 | − | 0.390216i | ||||
0.920723 | − | 0.390216i | ||||||||
− | 1.45907i | − | 0.0677354i | |||||||
6.46949 | − | 23.3023i | 0.300015 | − | 1.08062i | |||||
3.62961 | + | 3.62961i | 0.168139 | + | 0.168139i | |||||
−9.75781 | − | 9.75781i | −0.451538 | − | 0.451538i | 0.444327 | − | 0.895865i | ||
−0.895865 | + | 0.444327i | ||||||||
0 | 0 | |||||||||
− | 41.3316i | − | 1.90851i | |||||||
9.92909 | + | 2.75665i | 0.457995 | + | 0.127155i | |||||
−43.0823 | −1.98513 | |||||||||
−17.4080 | − | 17.4080i | −0.801266 | − | 0.801266i | |||||
3.41974 | 0.157240 | |||||||||
28.0306 | + | 28.0306i | 1.28749 | + | 1.28749i | |||||
6.60972 | + | 26.5750i | 0.303275 | + | 1.21935i | |||||
−3.69533 | − | 3.69533i | −0.169375 | − | 0.169375i | |||||
2.92105 | − | 2.92105i | 0.133746 | − | 0.133746i | |||||
−16.7478 | + | 16.7478i | −0.766025 | + | 0.766025i | |||||
−9.77217 | + | 9.77217i | −0.446502 | + | 0.446502i | −0.894190 | − | 0.447688i | ||
0.447688 | + | 0.894190i | ||||||||
−8.22685 | − | 14.5506i | −0.375503 | − | 0.664143i | |||||
0 | 0 | |||||||||
−24.3115 | + | 24.3115i | −1.10736 | + | 1.10736i | |||||
80.7241 | 3.67307 | |||||||||
28.0734i | 1.27607i | |||||||||
1.90242 | + | 0.528176i | 0.0863846 | + | 0.0239832i | |||||
34.1399 | − | 34.1399i | 1.54862 | − | 1.54862i | |||||
20.4592i | 0.927095i | 0.886072 | + | 0.463547i | ||||||
−0.886072 | + | 0.463547i | ||||||||
− | 14.3580i | − | 0.649958i | |||||||
−26.1796 | + | 26.1796i | −1.18388 | + | 1.18388i | |||||
35.6539 | + | 9.89871i | 1.61068 | + | 0.447178i | |||||
− | 10.1889i | − | 0.459817i | −0.973212 | − | 0.229908i | ||||
0.973212 | − | 0.229908i | ||||||||
−25.8625 | −1.16597 | |||||||||
−0.208297 | + | 0.208297i | −0.00938121 | + | 0.00938121i | |||||
0 | 0 | |||||||||
4.89137 | + | 8.65126i | 0.219851 | + | 0.388845i | |||||
−6.24539 | + | 6.24539i | −0.280426 | + | 0.280426i | |||||
29.3268 | − | 29.3268i | 1.31549 | − | 1.31549i | |||||
44.8408 | − | 44.8408i | 2.00936 | − | 2.00936i | |||||
7.90149 | + | 7.90149i | 0.353719 | + | 0.353719i | 0.861491 | − | 0.507772i | ||
−0.507772 | + | 0.861491i | ||||||||
−29.4499 | + | 27.8988i | −1.31704 | + | 1.24767i | |||||
20.6269 | + | 20.6269i | 0.921543 | + | 0.921543i | |||||
−42.1443 | −1.88099 | |||||||||
10.0106 | + | 10.0106i | 0.446349 | + | 0.446349i | 0.894139 | − | 0.447790i | ||
−0.447790 | + | 0.894139i | ||||||||
35.5349 | 1.58285 | |||||||||
17.1114 | + | 4.75069i | 0.761446 | + | 0.211403i | |||||
− | 39.5998i | − | 1.76043i | |||||||
0 | 0 | |||||||||
−18.0446 | − | 18.0446i | −0.800600 | − | 0.800600i | |||||
−16.3943 | − | 16.3943i | −0.726665 | − | 0.726665i | 0.243289 | − | 0.969954i | ||
−0.969954 | + | 0.243289i | ||||||||
1.27767 | − | 4.60202i | 0.0565764 | − | 0.203781i | |||||
16.8110i | 0.743673i | |||||||||
20.8492i | 0.921415i | |||||||||
−6.90412 | −0.304824 | |||||||||
15.1230 | − | 15.1230i | 0.667045 | − | 0.667045i | |||||
16.7200 | + | 29.5722i | 0.736769 | + | 1.30311i | |||||
16.0520 | 0.706648 | |||||||||
−2.48106 | − | 2.48106i | −0.109117 | − | 0.109117i | |||||
10.2544i | 0.450551i | |||||||||
−37.7669 | −1.65778 | |||||||||
0 | 0 | |||||||||
−35.0306 | −1.53472 | −0.767359 | − | 0.641218i | ||||||
−0.767359 | + | 0.641218i | ||||||||
− | 4.46316i | − | 0.195347i | |||||||
28.5551 | + | 28.5551i | 1.24863 | + | 1.24863i | 0.956327 | + | 0.292298i | ||
0.292298 | + | 0.956327i | ||||||||
33.9161 | 1.48163 | |||||||||
10.5425 | + | 42.3870i | 0.460111 | + | 1.84992i | |||||
−7.15081 | + | 7.15081i | −0.311790 | + | 0.311790i | |||||
1.78319 | 0.0776769 | |||||||||
− | 8.05506i | − | 0.350551i | |||||||
− | 62.3912i | − | 2.71266i | |||||||
−4.38346 | − | 7.75293i | −0.190405 | − | 0.336766i | |||||
−11.0875 | − | 11.0875i | −0.481158 | − | 0.481158i | |||||
−52.5307 | − | 52.5307i | −2.27749 | − | 2.27749i | |||||
0 | 0 | |||||||||
12.8443i | 0.555827i | |||||||||
11.4990 | + | 20.3381i | 0.497147 | + | 0.879292i | |||||
−42.7118 | −1.84487 | |||||||||
−30.4828 | − | 30.4828i | −1.31543 | − | 1.31543i | |||||
4.26468 | 0.183864 | |||||||||
−8.90912 | − | 8.90912i | −0.383743 | − | 0.383743i | |||||
−5.03368 | − | 8.90296i | −0.216615 | − | 0.383122i | |||||
16.7846 | + | 16.7846i | 0.721626 | + | 0.721626i | 0.968936 | − | 0.247310i | ||
−0.247310 | + | 0.968936i | ||||||||
4.94723 | − | 4.94723i | 0.212502 | − | 0.212502i | |||||
3.61838 | − | 3.61838i | 0.155279 | − | 0.155279i | |||||
0.871515 | − | 0.871515i | 0.0373659 | − | 0.0373659i | |||||
−11.3819 | + | 6.43528i | −0.487549 | + | 0.275657i | |||||
0 | 0 | |||||||||
10.0151 | − | 10.0151i | 0.428216 | − | 0.428216i | −0.459804 | − | 0.888020i | ||
0.888020 | + | 0.459804i | ||||||||
−49.7022 | −2.12317 | |||||||||
− | 9.14497i | − | 0.390298i | |||||||
20.7933 | − | 5.17168i | 0.886628 | − | 0.220521i | |||||
−2.96103 | + | 2.96103i | −0.126144 | + | 0.126144i | |||||
− | 83.4199i | − | 3.55059i | |||||||
− | 26.7310i | − | 1.13672i | |||||||
47.8022 | − | 47.8022i | 2.03092 | − | 2.03092i | |||||
−5.25907 | + | 2.97345i | −0.223235 | + | 0.126216i | |||||
− | 32.6045i | − | 1.38274i | |||||||
−17.9619 | −0.761072 | −0.380536 | − | 0.924766i | ||||||
−0.380536 | + | 0.924766i | ||||||||
−19.1041 | + | 19.1041i | −0.808743 | + | 0.808743i | |||||
0 | 0 | |||||||||
4.26743 | − | 15.3707i | 0.180332 | − | 0.649532i | |||||
−1.14994 | + | 1.14994i | −0.0485506 | + | 0.0485506i | |||||
6.11785 | − | 6.11785i | 0.258066 | − | 0.258066i | |||||
10.6362 | − | 10.6362i | 0.448262 | − | 0.448262i | −0.446514 | − | 0.894777i | ||
0.894777 | + | 0.446514i | ||||||||
−11.6459 | − | 11.6459i | −0.490380 | − | 0.490380i | |||||
28.5438 | − | 16.1385i | 1.20085 | − | 0.678953i | |||||
−13.0976 | − | 13.0976i | −0.550532 | − | 0.550532i | |||||
−38.6071 | −1.62135 | |||||||||
−30.3062 | − | 30.3062i | −1.27162 | − | 1.27162i | |||||
−21.9520 | −0.920277 | −0.460138 | − | 0.887847i | ||||||
−0.460138 | + | 0.887847i | ||||||||
18.1627 | − | 65.4197i | 0.760751 | − | 2.74013i | |||||
− | 12.0101i | − | 0.502606i | −0.967908 | − | 0.251303i | ||||
0.967908 | − | 0.251303i | ||||||||
0 | 0 | |||||||||
13.4606 | + | 13.4606i | 0.562325 | + | 0.562325i | |||||
19.1291 | + | 19.1291i | 0.798435 | + | 0.798435i | |||||
44.8376 | − | 11.1520i | 1.86986 | − | 0.465070i | |||||
28.0650i | 1.16938i | |||||||||
21.1801i | 0.881741i | 0.897571 | + | 0.440870i | ||||||
−0.897571 | + | 0.440870i | ||||||||
−39.9790 | −1.66291 | |||||||||
−38.4124 | + | 38.4124i | −1.59637 | + | 1.59637i | |||||
−5.97712 | − | 1.65945i | −0.248186 | − | 0.0689048i | |||||
−42.7619 | −1.77406 | |||||||||
−3.46131 | − | 3.46131i | −0.143476 | − | 0.143476i | |||||
3.03262i | 0.125598i | |||||||||
17.3724 | 0.718873 | |||||||||
0 | 0 | |||||||||
−53.5214 | −2.21095 | |||||||||
− | 34.5014i | − | 1.42403i | −0.702166 | − | 0.712013i | ||||
0.702166 | − | 0.712013i | ||||||||
−41.8186 | − | 41.8186i | −1.72457 | − | 1.72457i | |||||
25.3488 | 1.04448 | |||||||||
−29.4280 | + | 16.6385i | −1.21153 | + | 0.684994i | |||||
36.4656 | − | 36.4656i | 1.50000 | − | 1.50000i | |||||
2.20645 | 0.0906845 | |||||||||
− | 28.3656i | − | 1.16483i | −0.812890 | − | 0.582417i | ||||
0.812890 | − | 0.582417i | ||||||||
5.40203i | 0.221648i | |||||||||
−2.80355 | + | 1.58511i | −0.114934 | + | 0.0649833i | |||||
32.6107 | + | 32.6107i | 1.33579 | + | 1.33579i | |||||
13.4452 | + | 13.4452i | 0.550276 | + | 0.550276i | |||||
0 | 0 | |||||||||
3.01612i | 0.123235i | 0.998100 | + | 0.0616176i | ||||||
−0.998100 | + | 0.0616176i | ||||||||
43.8025 | − | 10.8945i | 1.78823 | − | 0.444767i | |||||
13.5808 | 0.553973 | 0.276986 | − | 0.960874i | ||||||
0.276986 | + | 0.960874i | ||||||||
−11.8728 | − | 11.8728i | −0.483899 | − | 0.483899i | |||||
−27.2042 | −1.10784 | |||||||||
10.7444 | + | 10.7444i | 0.437185 | + | 0.437185i | |||||
16.6704 | + | 4.62824i | 0.677746 | + | 0.188165i | |||||
−31.1328 | − | 31.1328i | −1.26468 | − | 1.26468i | |||||
−25.3551 | + | 25.3551i | −1.02913 | + | 1.02913i | −0.0295695 | + | 0.999563i | ||
−0.999563 | + | 0.0295695i | ||||||||
12.3890 | − | 12.3890i | 0.502438 | − | 0.502438i | |||||
−4.72282 | + | 4.72282i | −0.191378 | + | 0.191378i | |||||
−18.9978 | − | 5.27442i | −0.769198 | − | 0.213555i | |||||
0 | 0 | |||||||||
−2.43224 | + | 2.43224i | −0.0983175 | + | 0.0983175i | |||||
4.50152 | 0.181815 | 0.0909074 | − | 0.995859i | ||||||
0.0909074 | + | 0.995859i | ||||||||
48.4175i | 1.95397i | |||||||||
−4.26374 | + | 15.3575i | −0.171931 | + | 0.619273i | |||||
−18.4461 | + | 18.4461i | −0.743213 | + | 0.743213i | |||||
− | 38.4700i | − | 1.54874i | −0.632731 | − | 0.774372i | ||||
0.632731 | − | 0.774372i | ||||||||
− | 84.2250i | − | 3.38803i | |||||||
5.85514 | − | 5.85514i | 0.235338 | − | 0.235338i | −0.579578 | − | 0.814916i | ||
0.814916 | + | 0.579578i | ||||||||
18.4814 | + | 32.6876i | 0.742230 | + | 1.31277i | |||||
11.6487i | 0.467446i | |||||||||
50.7134 | 2.03342 | |||||||||
6.12441 | − | 6.12441i | 0.245369 | − | 0.245369i | |||||
0 | 0 | |||||||||
11.7115 | + | 22.0871i | 0.468459 | + | 0.883485i | |||||
−12.4012 | + | 12.4012i | −0.495651 | + | 0.495651i | |||||
−16.3469 | + | 16.3469i | −0.652834 | + | 0.652834i | |||||
47.3018 | − | 47.3018i | 1.88755 | − | 1.88755i | |||||
−0.314994 | − | 0.314994i | −0.0125596 | − | 0.0125596i | |||||
13.0537 | − | 47.0179i | 0.520073 | − | 1.87324i | |||||
−26.4142 | − | 26.4142i | −1.05153 | − | 1.05153i | −0.998598 | − | 0.0529351i | ||
−0.0529351 | − | 0.998598i | ||||||||
−27.6237 | −1.09881 | |||||||||
−40.9345 | − | 40.9345i | −1.62700 | − | 1.62700i | |||||
61.4053 | 2.43872 | |||||||||
−13.6900 | + | 7.74023i | −0.543270 | + | 0.307162i | |||||
14.2348i | 0.564448i | |||||||||
0 | 0 | |||||||||
2.31681 | + | 2.31681i | 0.0917235 | + | 0.0917235i | |||||
−19.3027 | − | 19.3027i | −0.763603 | − | 0.763603i | |||||
44.5174 | + | 12.3595i | 1.75971 | + | 0.488553i | |||||
− | 3.43214i | − | 0.135561i | −0.997700 | − | 0.0677806i | ||||
0.997700 | − | 0.0677806i | ||||||||
− | 57.9252i | − | 2.28613i | |||||||
16.4627 | 0.649227 | 0.324614 | − | 0.945847i | ||||||
0.324614 | + | 0.945847i | ||||||||
−88.6302 | + | 88.6302i | −3.49252 | + | 3.49252i | |||||
2.64636 | − | 9.53185i | 0.104200 | − | 0.375316i | |||||
5.00619 | 0.196966 | |||||||||
13.4904 | + | 13.4904i | 0.530364 | + | 0.530364i | 0.920681 | − | 0.390317i | ||
−0.390317 | + | 0.920681i | ||||||||
39.8964i | 1.56728i | |||||||||
11.5110 | 0.451846 | |||||||||
0 | 0 | |||||||||
40.4311 | 1.58462 | |||||||||
− | 57.4872i | − | 2.25137i | |||||||
−27.0722 | − | 27.0722i | −1.05942 | − | 1.05942i | −0.998120 | − | 0.0612973i | ||
−0.0612973 | − | 0.998120i | ||||||||
32.4171 | 1.26761 | |||||||||
5.59149 | − | 20.1398i | 0.218477 | − | 0.786928i | |||||
4.11605 | − | 4.11605i | 0.160705 | − | 0.160705i | |||||
11.0649 | 0.431681 | |||||||||
17.2277i | 0.671605i | |||||||||
39.2882i | 1.53045i | 0.643763 | + | 0.765225i | ||||||
−0.643763 | + | 0.765225i | ||||||||
−32.9979 | − | 9.16131i | −1.28444 | − | 0.356604i | |||||
19.1671 | + | 19.1671i | 0.745515 | + | 0.745515i | 0.973633 | − | 0.228119i | ||
−0.228119 | + | 0.973633i | ||||||||
17.6545 | + | 17.6545i | 0.686161 | + | 0.686161i | |||||
0 | 0 | |||||||||
44.1900i | 1.71490i | |||||||||
−39.8537 | + | 22.5331i | −1.54546 | + | 0.873794i | |||||
6.74935 | 0.261532 | |||||||||
4.99587 | + | 4.99587i | 0.193441 | + | 0.193441i | |||||
−45.2943 | −1.75249 | |||||||||
−48.7808 | − | 48.7808i | −1.88597 | − | 1.88597i | |||||
−15.6902 | + | 56.5140i | −0.606164 | + | 2.18332i | |||||
4.74713 | + | 4.74713i | 0.183261 | + | 0.183261i | |||||
19.7603 | − | 19.7603i | 0.762270 | − | 0.762270i | |||||
−5.02239 | + | 5.02239i | −0.193599 | + | 0.193599i | −0.797249 | − | 0.603650i | ||
0.603650 | + | 0.797249i | ||||||||
−15.8462 | + | 15.8462i | −0.610373 | + | 0.610373i | |||||
−6.11655 | + | 1.52130i | −0.235426 | + | 0.0585550i | |||||
0 | 0 | |||||||||
19.2265 | − | 19.2265i | 0.738933 | − | 0.738933i | −0.233439 | − | 0.972372i | ||
0.972372 | + | 0.233439i | ||||||||
−81.2961 | −3.12216 | |||||||||
3.30084i | 0.126675i | |||||||||
1.63805 | + | 2.89718i | 0.0628163 | + | 0.111102i | |||||
−12.9987 | + | 12.9987i | −0.498112 | + | 0.498112i | |||||
− | 19.8338i | − | 0.759475i | |||||||
− | 4.61676i | − | 0.176655i | −0.996091 | − | 0.0883277i | ||||
0.996091 | − | 0.0883277i | ||||||||
−34.5753 | + | 34.5753i | −1.32202 | + | 1.32202i | |||||
−8.19401 | + | 29.5138i | −0.313077 | + | 1.12766i | |||||
− | 0.220219i | − | 0.00840798i | |||||||
−41.1139 | −1.56859 | |||||||||
−2.55469 | + | 2.55469i | −0.0973967 | + | 0.0973967i | |||||
0 | 0 | |||||||||
−110.377 | − | 30.6442i | −4.20197 | − | 1.16661i | |||||
7.48635 | − | 7.48635i | 0.284794 | − | 0.284794i | −0.550223 | − | 0.835018i | ||
0.835018 | + | 0.550223i | ||||||||
41.4658 | − | 41.4658i | 1.57629 | − | 1.57629i | |||||
−11.7487 | + | 11.7487i | −0.446297 | + | 0.446297i | |||||
11.9539 | + | 11.9539i | 0.453766 | + | 0.453766i | |||||
−19.3610 | − | 5.37525i | −0.734404 | − | 0.203895i | |||||
4.88054 | + | 4.88054i | 0.184996 | + | 0.184996i | |||||
−1.17522 | −0.0445146 | |||||||||
54.7086 | + | 54.7086i | 2.07075 | + | 2.07075i | |||||
−5.05594 | −0.191233 | |||||||||
−58.1134 | − | 34.9634i | −2.19648 | − | 1.32149i | |||||
− | 48.9646i | − | 1.84937i | −0.380735 | − | 0.924684i | ||||
0.380735 | − | 0.924684i | ||||||||
0 | 0 | |||||||||
−4.47777 | − | 4.47777i | −0.168882 | − | 0.168882i | |||||
−14.5685 | − | 14.5685i | −0.549070 | − | 0.549070i | |||||
−8.83542 | + | 4.99550i | −0.332761 | + | 0.188141i | |||||
− | 30.6528i | − | 1.15363i | |||||||
29.6895i | 1.11659i | |||||||||
54.0316 | 2.03063 | |||||||||
17.4186 | − | 17.4186i | 0.654169 | − | 0.654169i | −0.299825 | − | 0.953994i | ||
0.953994 | + | 0.299825i | ||||||||
−51.2324 | + | 28.9665i | −1.92272 | + | 1.08709i | |||||
−17.5942 | −0.659834 | |||||||||
−6.32893 | − | 6.32893i | −0.237187 | − | 0.237187i | |||||
− | 42.7687i | − | 1.60170i | |||||||
7.98484 | 0.298825 | |||||||||
0 | 0 | |||||||||
66.9366 | 2.50154 | |||||||||
− | 23.3291i | − | 0.871242i | |||||||
−29.7274 | − | 29.7274i | −1.10942 | − | 1.10942i | |||||
−46.6034 | −1.73801 | −0.869007 | − | 0.494799i | ||||||
−0.869007 | + | 0.494799i | ||||||||
−10.1169 | − | 2.80879i | −0.377035 | − | 0.104678i | |||||
−40.1601 | + | 40.1601i | −1.49564 | + | 1.49564i | |||||
26.0891 | 0.970937 | |||||||||
− | 33.8652i | − | 1.25946i | |||||||
7.94552i | 0.295293i | |||||||||
−1.97080 | + | 3.27571i | −0.0731937 | + | 0.121657i | |||||
−30.3304 | − | 30.3304i | −1.12567 | − | 1.12567i | |||||
16.4412 | + | 16.4412i | 0.609770 | + | 0.609770i | 0.942886 | − | 0.333116i | ||
−0.333116 | + | 0.942886i | ||||||||
0 | 0 | |||||||||
16.5738i | 0.613846i | |||||||||
6.38172 | − | 22.9861i | 0.236198 | − | 0.850755i | |||||
0.729418 | 0.0269785 | |||||||||
22.2826 | + | 22.2826i | 0.823588 | + | 0.823588i | |||||
−30.6968 | −1.13381 | −0.566907 | − | 0.823782i | ||||||
−0.566907 | + | 0.823782i | ||||||||
58.4687 | + | 58.4687i | 2.15812 | + | 2.15812i | |||||
−31.7267 | + | 17.9381i | −1.17026 | + | 0.661657i | |||||
−20.9028 | − | 20.9028i | −0.770486 | − | 0.770486i | |||||
14.1216 | − | 14.1216i | 0.520176 | − | 0.520176i | |||||
12.5907 | − | 12.5907i | 0.463469 | − | 0.463469i | |||||
24.4091 | − | 24.4091i | 0.897902 | − | 0.897902i | −0.0973480 | − | 0.995250i | ||
0.995250 | + | 0.0973480i | ||||||||
2.50948 | − | 9.03881i | 0.0922502 | − | 0.332273i | |||||
0 | 0 | |||||||||
10.5288 | − | 10.5288i | 0.386523 | − | 0.386523i | |||||
−0.307988 | −0.0112990 | −0.00564949 | − | 0.999984i | ||||||
−0.00564949 | + | 0.999984i | ||||||||
− | 41.7813i | − | 1.53178i | |||||||
24.7409 | − | 13.9884i | 0.906437 | − | 0.512494i | |||||
25.0528 | − | 25.0528i | 0.917249 | − | 0.917249i | |||||
28.1456i | 1.02979i | |||||||||
− | 2.52514i | − | 0.0923282i | |||||||
−27.6199 | + | 27.6199i | −1.00921 | + | 1.00921i | |||||
1.67579 | − | 61.9592i | 0.0611911 | − | 2.26243i | |||||
20.9010i | 0.762690i | 0.924433 | + | 0.381345i | ||||||
−0.924433 | + | 0.381345i | ||||||||
3.70691 | 0.135177 | |||||||||
29.3529 | − | 29.3529i | 1.06968 | − | 1.06968i | |||||
0 | 0 | |||||||||
8.15153 | − | 4.60883i | 0.296665 | − | 0.167733i | |||||
12.0905 | − | 12.0905i | 0.439729 | − | 0.439729i | |||||
−23.7489 | + | 23.7489i | −0.863168 | + | 0.863168i | −0.991705 | − | 0.128536i | ||
0.128536 | + | 0.991705i | ||||||||
−54.3352 | + | 54.3352i | −1.97354 | + | 1.97354i | |||||
27.5807 | + | 27.5807i | 1.00112 | + | 1.00112i | |||||
23.2855 | + | 41.1846i | 0.844656 | + | 1.49392i | |||||
33.9474 | + | 33.9474i | 1.23059 | + | 1.23059i | 0.963736 | + | 0.266856i | ||
0.266856 | + | 0.963736i | ||||||||
38.9906 | 1.41248 | |||||||||
−15.4571 | − | 15.4571i | −0.559584 | − | 0.559584i | |||||
−29.5579 | −1.06937 | |||||||||
1.04331 | + | 1.84528i | 0.0377210 | + | 0.0667162i | |||||
− | 76.4612i | − | 2.76266i | |||||||
0 | 0 | |||||||||
−43.3025 | − | 43.3025i | −1.56255 | − | 1.56255i | |||||
16.5558 | + | 16.5558i | 0.597016 | + | 0.597016i | 0.939517 | − | 0.342502i | ||
−0.342502 | + | 0.939517i | ||||||||
17.6307 | + | 31.1830i | 0.635365 | + | 1.12376i | |||||
21.0658i | 0.758667i | |||||||||
− | 84.3490i | − | 3.03579i | |||||||
−26.8939 | −0.967307 | −0.483653 | − | 0.875260i | ||||||
−0.483653 | + | 0.875260i | ||||||||
−7.81460 | + | 7.81460i | −0.280890 | + | 0.280890i | |||||
22.4572 | − | 5.58553i | 0.806686 | − | 0.200638i | |||||
3.41107 | 0.122450 | |||||||||
−7.14201 | − | 7.14201i | −0.256218 | − | 0.256218i | |||||
− | 27.9513i | − | 1.00210i | |||||||
−16.7062 | −0.598563 | |||||||||
0 | 0 | |||||||||
20.0399 | 0.717086 | |||||||||
− | 8.44649i | − | 0.302046i | |||||||
−0.681514 | − | 0.681514i | −0.0243553 | − | 0.0243553i | |||||
13.3110 | 0.475392 | |||||||||
−20.2901 | − | 35.8867i | −0.724186 | − | 1.28085i | |||||
−36.6428 | + | 36.6428i | −1.30701 | + | 1.30701i | |||||
1.45463 | 0.0518521 | 0.0259261 | − | 0.999664i | ||||||
0.0259261 | + | 0.999664i | ||||||||
80.0741i | 2.85252i | |||||||||
− | 9.96087i | − | 0.354616i | |||||||
−10.1476 | + | 36.5502i | −0.361034 | + | 1.30040i | |||||
38.7636 | + | 38.7636i | 1.37827 | + | 1.37827i | |||||
12.1411 | + | 12.1411i | 0.431414 | + | 0.431414i | |||||
0 | 0 | |||||||||
− | 19.3299i | − | 0.685994i | |||||||
8.45282 | + | 2.34678i | 0.299790 | + | 0.0832318i | |||||
−29.5241 | −1.04645 | |||||||||
8.79879 | + | 8.79879i | 0.311669 | + | 0.311669i | 0.845556 | − | 0.533887i | ||
−0.533887 | + | 0.845556i | ||||||||
113.508 | 4.01813 | |||||||||
−0.529200 | − | 0.529200i | −0.0187218 | − | 0.0187218i | |||||
8.24585 | − | 13.7056i | 0.291535 | − | 0.484566i | |||||
−4.03104 | − | 4.03104i | −0.142430 | − | 0.142430i | |||||
−27.7018 | + | 27.7018i | −0.978183 | + | 0.978183i | |||||
−5.74373 | + | 5.74373i | −0.202692 | + | 0.202692i | |||||
66.2855 | − | 66.2855i | 2.33771 | − | 2.33771i | |||||
38.0180 | + | 67.2415i | 1.33996 | + | 2.36995i | |||||
0 | 0 | |||||||||
−2.97029 | + | 2.97029i | −0.104559 | + | 0.104559i | |||||
30.6810 | 1.07935 | |||||||||
7.21727i | 0.253746i | 0.991919 | + | 0.126873i | ||||||
−0.991919 | + | 0.126873i | ||||||||
52.7887 | + | 14.6559i | 1.85481 | + | 0.514956i | |||||
−15.0515 | + | 15.0515i | −0.528530 | + | 0.528530i | −0.920134 | − | 0.391604i | ||
0.391604 | + | 0.920134i | ||||||||
− | 10.3707i | − | 0.363942i | |||||||
6.89134i | 0.241690i | |||||||||
−3.50357 | + | 3.50357i | −0.122800 | + | 0.122800i | |||||
−34.1366 | − | 9.47747i | −1.19575 | − | 0.331981i | |||||
− | 1.71811i | − | 0.0601460i | |||||||
10.3690 | 0.362765 | |||||||||
7.08575 | − | 7.08575i | 0.247747 | − | 0.247747i | |||||
0 | 0 | |||||||||
−12.1802 | − | 21.5429i | −0.425352 | − | 0.752311i | |||||
−12.4012 | + | 12.4012i | −0.432805 | + | 0.432805i | −0.889581 | − | 0.456777i | ||
0.456777 | + | 0.889581i | ||||||||
53.6980 | − | 53.6980i | 1.87293 | − | 1.87293i | |||||
−7.74299 | + | 7.74299i | −0.269904 | + | 0.269904i | −0.829061 | − | 0.559158i | ||
0.559158 | + | 0.829061i | ||||||||
41.5013 | + | 41.5013i | 1.44576 | + | 1.44576i | |||||
−10.8802 | + | 18.0842i | −0.378800 | + | 0.629611i | |||||
−39.9644 | − | 39.9644i | −1.39054 | − | 1.39054i | |||||
1.86613 | 0.0648917 | 0.0324458 | − | 0.999473i | ||||||
0.0324458 | + | 0.999473i | ||||||||
58.3358 | + | 58.3358i | 2.02731 | + | 2.02731i | |||||
34.7843 | 1.20811 | 0.604055 | − | 0.796943i | ||||||
0.604055 | + | 0.796943i | ||||||||
58.4697 | + | 16.2331i | 2.02951 | + | 0.563461i | |||||
66.5870i | 2.30988i | |||||||||
0 | 0 | |||||||||
−1.90028 | − | 1.90028i | −0.0658408 | − | 0.0658408i | |||||
35.2258 | + | 35.2258i | 1.21977 | + | 1.21977i | |||||
−7.46731 | + | 26.8963i | −0.258417 | + | 0.930784i | |||||
− | 35.8959i | − | 1.24149i | |||||||
5.83431i | 0.201663i | |||||||||
−40.5189 | −1.39970 | |||||||||
13.7215 | − | 13.7215i | 0.473718 | − | 0.473718i | −0.429397 | − | 0.903116i | ||
0.903116 | + | 0.429397i | ||||||||
37.1403 | + | 65.6892i | 1.28146 | + | 2.26649i | |||||
28.4154 | 0.979842 | |||||||||
−21.9815 | − | 21.9815i | −0.757533 | − | 0.757533i | |||||
8.52199i | 0.293513i | |||||||||
89.8873 | 3.09405 | |||||||||
0 | 0 | |||||||||
11.3391 | 0.389848 | |||||||||
28.9243i | 0.993849i | |||||||||
−2.26549 | − | 2.26549i | −0.0777973 | − | 0.0777973i | |||||
18.2445 | 0.626151 | |||||||||
4.43512 | − | 1.10310i | 0.152123 | − | 0.0378360i | |||||
−7.55493 | + | 7.55493i | −0.258980 | + | 0.258980i | |||||
94.0657 | 3.22264 | |||||||||
2.67051i | 0.0914364i | 0.998954 | + | 0.0457182i | ||||||
−0.998954 | + | 0.0457182i | ||||||||
− | 32.9625i | − | 1.12795i | |||||||
14.8311 | + | 26.2314i | 0.507213 | + | 0.897096i | |||||
28.5422 | + | 28.5422i | 0.975553 | + | 0.975553i | |||||
−17.5773 | − | 17.5773i | −0.600430 | − | 0.600430i | 0.339996 | − | 0.940427i | ||
−0.940427 | + | 0.339996i | ||||||||
0 | 0 | |||||||||
52.8699i | 1.80390i | 0.431844 | + | 0.901949i | ||||||
−0.431844 | + | 0.901949i | ||||||||
7.55986 | + | 13.3709i | 0.257789 | + | 0.455946i | |||||
−26.6463 | −0.908104 | |||||||||
17.9744 | + | 17.9744i | 0.612211 | + | 0.612211i | |||||
−3.40127 | −0.115780 | −0.0578902 | − | 0.998323i | ||||||
−0.0578902 | + | 0.998323i | ||||||||
2.85146 | + | 2.85146i | 0.0970087 | + | 0.0970087i | |||||
−17.7868 | − | 31.4590i | −0.604768 | − | 1.06964i | |||||
8.56625 | + | 8.56625i | 0.291093 | + | 0.291093i | |||||
27.8447 | − | 27.8447i | 0.945657 | − | 0.945657i | |||||
−44.3910 | + | 44.3910i | −1.50673 | + | 1.50673i | |||||
9.13309 | − | 9.13309i | 0.309819 | − | 0.309819i | |||||
8.25052 | − | 4.66479i | 0.279719 | − | 0.158151i | |||||
0 | 0 | |||||||||
−15.9733 | + | 15.9733i | −0.540923 | + | 0.540923i | |||||
2.17259 | 0.0735311 | |||||||||
− | 120.070i | − | 4.06144i | |||||||
−30.3424 | + | 28.7443i | −1.02576 | + | 0.971735i | |||||
−26.9605 | + | 26.9605i | −0.910912 | + | 0.910912i | |||||
− | 19.6750i | − | 0.664379i | −0.943213 | − | 0.332189i | ||||
0.943213 | − | 0.332189i | ||||||||
48.0161i | 1.62046i | |||||||||
37.2768 | − | 37.2768i | 1.25732 | − | 1.25732i | |||||
6.70970 | − | 3.79362i | 0.226184 | − | 0.127883i | |||||
− | 2.38273i | − | 0.0802762i | −0.999194 | − | 0.0401381i | ||||
0.999194 | − | 0.0401381i | ||||||||
40.7172 | 1.37102 | |||||||||
−30.4180 | + | 30.4180i | −1.02365 | + | 1.02365i | −0.0239343 | + | 0.999714i | ||
−0.999714 | + | 0.0239343i | ||||||||
0 | 0 | |||||||||
8.90776 | − | 32.0846i | 0.299431 | − | 1.07851i | |||||
6.31260 | − | 6.31260i | 0.212076 | − | 0.212076i | |||||
−16.0566 | + | 16.0566i | −0.539127 | + | 0.539127i | −0.923272 | − | 0.384146i | ||
0.384146 | + | 0.923272i | ||||||||
−7.38052 | + | 7.38052i | −0.247674 | + | 0.247674i | |||||
−18.5915 | − | 18.5915i | −0.623538 | − | 0.623538i | |||||
−10.6990 | + | 6.04917i | −0.358632 | + | 0.202769i | |||||
−13.1907 | − | 13.1907i | −0.441906 | − | 0.441906i | |||||
107.117 | 3.58653 | |||||||||
−7.52280 | − | 7.52280i | −0.251741 | − | 0.251741i | |||||
−70.4649 | −2.35670 | |||||||||
11.0353 | − | 39.7477i | 0.368869 | − | 1.32862i | |||||
77.2410i | 2.58044i | |||||||||
0 | 0 | |||||||||
51.6980 | + | 51.6980i | 1.72518 | + | 1.72518i | |||||
2.50221 | + | 2.50221i | 0.0834533 | + | 0.0834533i | |||||
−23.0127 | + | 38.2498i | −0.767089 | + | 1.27499i | |||||
0.646845i | 0.0215495i | |||||||||
13.0716i | 0.435235i | |||||||||
16.5385 | 0.550365 | |||||||||
40.0581 | − | 40.0581i | 1.33231 | − | 1.33231i | |||||
4.71815 | + | 1.30992i | 0.156837 | + | 0.0435431i | |||||
−23.2165 | −0.771316 | |||||||||
−16.3686 | − | 16.3686i | −0.543510 | − | 0.543510i | 0.381046 | − | 0.924556i | ||
−0.924556 | + | 0.381046i | ||||||||
− | 28.5436i | − | 0.947253i | |||||||
19.5414 | 0.648147 | |||||||||
0 | 0 | |||||||||
−23.7450 | −0.786707 | −0.393354 | − | 0.919387i | ||||||
−0.393354 | + | 0.919387i | ||||||||
− | 24.4237i | − | 0.808749i | |||||||
−14.6103 | − | 14.6103i | −0.483530 | − | 0.483530i | |||||
−24.1508 | −0.798837 | |||||||||
16.9052 | − | 9.55812i | 0.558869 | − | 0.315982i | |||||
45.1406 | − | 45.1406i | 1.49149 | − | 1.49149i | |||||
34.9440 | 1.15395 | |||||||||
1.15223i | 0.0380293i | |||||||||
− | 56.9671i | − | 1.87917i | −0.342313 | − | 0.939586i | ||||
0.342313 | − | 0.939586i | ||||||||
69.4870 | − | 39.2876i | 2.29092 | − | 1.29527i | |||||
−33.7221 | − | 33.7221i | −1.11118 | − | 1.11118i | |||||
−32.3379 | − | 32.3379i | −1.06499 | − | 1.06499i | |||||
0 | 0 | |||||||||
− | 57.2537i | − | 1.88351i | |||||||
−4.95364 | − | 2.98032i | −0.162875 | − | 0.0979922i | |||||
−39.8398 | −1.30922 | |||||||||
26.4331 | + | 26.4331i | 0.868177 | + | 0.868177i | |||||
2.44586 | 0.0802892 | |||||||||
20.6626 | + | 20.6626i | 0.677918 | + | 0.677918i | 0.959529 | − | 0.281611i | ||
−0.281611 | + | 0.959529i | ||||||||
−55.2828 | − | 15.3483i | −1.81279 | − | 0.503292i | |||||
−27.0133 | − | 27.0133i | −0.885325 | − | 0.885325i | |||||
5.55112 | − | 5.55112i | 0.181833 | − | 0.181833i | |||||
−35.3211 | + | 35.3211i | −1.15636 | + | 1.15636i | |||||
−23.1496 | + | 23.1496i | −0.757478 | + | 0.757478i | |||||
−1.49946 | − | 0.416299i | −0.0490375 | − | 0.0136144i | |||||
0 | 0 | |||||||||
−1.77191 | + | 1.77191i | −0.0578859 | + | 0.0578859i | −0.735457 | − | 0.677571i | ||
0.677571 | + | 0.735457i | ||||||||
−98.0558 | −3.20164 | |||||||||
− | 17.2745i | − | 0.563731i | |||||||
4.21601 | − | 15.1855i | 0.137511 | − | 0.495297i | |||||
−15.5682 | + | 15.5682i | −0.507507 | + | 0.507507i | −0.913761 | − | 0.406253i | ||
0.406253 | + | 0.913761i | ||||||||
102.209i | 3.33016i | |||||||||
28.1869i | 0.917891i | |||||||||
−8.59920 | + | 8.59920i | −0.279880 | + | 0.279880i | |||||
−5.18624 | − | 9.17279i | −0.168708 | − | 0.298391i | |||||
− | 8.11306i | − | 0.263778i | |||||||
0.361869 | 0.0117591 | 0.00587957 | − | 0.999983i | ||||||
0.00587957 | + | 0.999983i | ||||||||
42.8699 | − | 42.8699i | 1.39235 | − | 1.39235i | |||||
0 | 0 | |||||||||
63.0471 | − | 15.6810i | 2.04552 | − | 0.508760i | |||||
−42.7679 | + | 42.7679i | −1.38684 | + | 1.38684i | |||||
−3.93447 | + | 3.93447i | −0.127517 | + | 0.127517i | |||||
−28.6611 | + | 28.6611i | −0.928423 | + | 0.928423i | −0.997604 | − | 0.0691813i | ||
0.0691813 | + | 0.997604i | ||||||||
−6.92996 | − | 6.92996i | −0.224366 | − | 0.224366i | |||||
−4.87298 | + | 17.5518i | −0.157686 | + | 0.567964i | |||||
25.6140 | + | 25.6140i | 0.828415 | + | 0.828415i | |||||
−3.22725 | −0.104322 | |||||||||
23.1837 | + | 23.1837i | 0.749031 | + | 0.749031i | |||||
−51.2085 | −1.65361 | |||||||||
−51.8805 | + | 29.3329i | −1.67443 | + | 0.946716i | |||||
9.57907i | 0.309002i | |||||||||
0 | 0 | |||||||||
18.1792 | + | 18.1792i | 0.585817 | + | 0.585817i | |||||
37.1820 | + | 37.1820i | 1.19755 | + | 1.19755i | |||||
−50.0875 | − | 13.9060i | −1.61237 | − | 0.447649i | |||||
− | 191.511i | − | 6.16178i | |||||||
12.2654i | 0.394430i | 0.980360 | + | 0.197215i | ||||||
−0.980360 | + | 0.197215i | ||||||||
29.8902 | 0.960707 | |||||||||
−3.48674 | + | 3.48674i | −0.112010 | + | 0.112010i | |||||
1.25305 | − | 4.51334i | 0.0402332 | − | 0.144915i | |||||
22.6199 | 0.725907 | 0.362953 | − | 0.931807i | ||||||
0.362953 | + | 0.931807i | ||||||||
−52.2135 | − | 52.2135i | −1.67475 | − | 1.67475i | |||||
− | 33.5927i | − | 1.07693i | |||||||
48.5378 | 1.55525 | |||||||||
0 | 0 | |||||||||
−7.09261 | −0.227029 | |||||||||
− | 35.1692i | − | 1.12516i | −0.826742 | − | 0.562581i | ||||
0.826742 | − | 0.562581i | ||||||||
62.1090 | + | 62.1090i | 1.98603 | + | 1.98603i | |||||
4.18500 | 0.133753 | |||||||||
15.1391 | − | 54.5290i | 0.483600 | − | 1.74186i | |||||
−10.1737 | + | 10.1737i | −0.324823 | + | 0.324823i | |||||
−24.1722 | −0.771367 | |||||||||
12.2764i | 0.391555i | 0.980648 | + | 0.195778i | ||||||
−0.980648 | + | 0.195778i | ||||||||
27.5362i | 0.877821i | |||||||||
47.5490 | + | 13.2012i | 1.51504 | + | 0.420625i | |||||
0.494167 | + | 0.494167i | 0.0157375 | + | 0.0157375i | |||||
−11.9988 | − | 11.9988i | −0.381927 | − | 0.381927i | |||||
0 | 0 | |||||||||
− | 17.4946i | − | 0.556297i | |||||||
20.5244 | − | 11.6044i | 0.652309 | − | 0.368812i | |||||
33.1990 | 1.05460 | 0.527301 | − | 0.849679i | ||||||
0.527301 | + | 0.849679i | ||||||||
−10.4693 | − | 10.4693i | −0.332399 | − | 0.332399i | |||||
−24.5922 | −0.780409 | |||||||||
−69.5755 | − | 69.5755i | −2.20680 | − | 2.20680i | |||||
−4.86740 | + | 17.5318i | −0.154307 | + | 0.555795i | |||||
−68.5794 | − | 68.5794i | −2.17302 | − | 2.17302i | |||||
−26.5760 | + | 26.5760i | −0.841671 | + | 0.841671i | −0.989076 | − | 0.147405i | ||
0.147405 | + | 0.989076i | ||||||||
18.7456 | − | 18.7456i | 0.593383 | − | 0.593383i | |||||
1.03061 | − | 1.03061i | 0.0326070 | − | 0.0326070i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 845.2.f.f.408.5 | ✓ | 72 | |
5.2 | odd | 4 | 845.2.k.f.577.32 | yes | 72 | ||
13.2 | odd | 12 | 845.2.o.i.488.32 | 144 | |||
13.3 | even | 3 | 845.2.t.i.188.32 | 144 | |||
13.4 | even | 6 | 845.2.t.i.418.32 | 144 | |||
13.5 | odd | 4 | 845.2.k.f.268.5 | yes | 72 | ||
13.6 | odd | 12 | 845.2.o.i.258.32 | 144 | |||
13.7 | odd | 12 | 845.2.o.i.258.5 | 144 | |||
13.8 | odd | 4 | 845.2.k.f.268.32 | yes | 72 | ||
13.9 | even | 3 | 845.2.t.i.418.5 | 144 | |||
13.10 | even | 6 | 845.2.t.i.188.5 | 144 | |||
13.11 | odd | 12 | 845.2.o.i.488.5 | 144 | |||
13.12 | even | 2 | inner | 845.2.f.f.408.32 | yes | 72 | |
65.2 | even | 12 | 845.2.t.i.657.32 | 144 | |||
65.7 | even | 12 | 845.2.t.i.427.32 | 144 | |||
65.12 | odd | 4 | 845.2.k.f.577.5 | yes | 72 | ||
65.17 | odd | 12 | 845.2.o.i.587.32 | 144 | |||
65.22 | odd | 12 | 845.2.o.i.587.5 | 144 | |||
65.32 | even | 12 | 845.2.t.i.427.5 | 144 | |||
65.37 | even | 12 | 845.2.t.i.657.5 | 144 | |||
65.42 | odd | 12 | 845.2.o.i.357.5 | 144 | |||
65.47 | even | 4 | inner | 845.2.f.f.437.32 | yes | 72 | |
65.57 | even | 4 | inner | 845.2.f.f.437.5 | yes | 72 | |
65.62 | odd | 12 | 845.2.o.i.357.32 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.f.f.408.5 | ✓ | 72 | 1.1 | even | 1 | trivial | |
845.2.f.f.408.32 | yes | 72 | 13.12 | even | 2 | inner | |
845.2.f.f.437.5 | yes | 72 | 65.57 | even | 4 | inner | |
845.2.f.f.437.32 | yes | 72 | 65.47 | even | 4 | inner | |
845.2.k.f.268.5 | yes | 72 | 13.5 | odd | 4 | ||
845.2.k.f.268.32 | yes | 72 | 13.8 | odd | 4 | ||
845.2.k.f.577.5 | yes | 72 | 65.12 | odd | 4 | ||
845.2.k.f.577.32 | yes | 72 | 5.2 | odd | 4 | ||
845.2.o.i.258.5 | 144 | 13.7 | odd | 12 | |||
845.2.o.i.258.32 | 144 | 13.6 | odd | 12 | |||
845.2.o.i.357.5 | 144 | 65.42 | odd | 12 | |||
845.2.o.i.357.32 | 144 | 65.62 | odd | 12 | |||
845.2.o.i.488.5 | 144 | 13.11 | odd | 12 | |||
845.2.o.i.488.32 | 144 | 13.2 | odd | 12 | |||
845.2.o.i.587.5 | 144 | 65.22 | odd | 12 | |||
845.2.o.i.587.32 | 144 | 65.17 | odd | 12 | |||
845.2.t.i.188.5 | 144 | 13.10 | even | 6 | |||
845.2.t.i.188.32 | 144 | 13.3 | even | 3 | |||
845.2.t.i.418.5 | 144 | 13.9 | even | 3 | |||
845.2.t.i.418.32 | 144 | 13.4 | even | 6 | |||
845.2.t.i.427.5 | 144 | 65.32 | even | 12 | |||
845.2.t.i.427.32 | 144 | 65.7 | even | 12 | |||
845.2.t.i.657.5 | 144 | 65.37 | even | 12 | |||
845.2.t.i.657.32 | 144 | 65.2 | even | 12 |