Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [161,2,Mod(45,161)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(161, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("161.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 161.g (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 | 68.2 | ||
Character | 161.68 | ||
Dual form | 161.2.g.a.45.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.23299 | + | 2.13559i | −0.871852 | + | 1.51009i | −0.0117739 | + | 0.999931i | ||
−0.860078 | + | 0.510162i | ||||||||
0.854402 | − | 0.493289i | 0.493289 | − | 0.284801i | −0.232649 | − | 0.972561i | ||
0.725938 | + | 0.687760i | ||||||||
−2.04051 | − | 3.53426i | −1.02025 | − | 1.76713i | |||||
1.24346 | − | 2.15373i | 0.556090 | − | 0.963176i | −0.441728 | − | 0.897149i | ||
0.997818 | − | 0.0660272i | ||||||||
2.43287i | 0.993217i | |||||||||
2.57635 | + | 0.602017i | 0.973768 | + | 0.227541i | |||||
5.13171 | 1.81433 | |||||||||
−1.01333 | + | 1.75514i | −0.337777 | + | 0.585047i | |||||
3.06632 | + | 5.31103i | 0.969657 | + | 1.67950i | |||||
3.89415 | − | 2.24829i | 1.17413 | − | 0.677884i | 0.219480 | − | 0.975617i | ||
0.954649 | + | 0.297733i | ||||||||
−3.48683 | − | 2.01312i | −1.00656 | − | 0.581138i | |||||
2.10932i | 0.585021i | 0.956262 | + | 0.292510i | ||||||
−0.956262 | + | 0.292510i | ||||||||
−4.46226 | + | 4.75976i | −1.19259 | + | 1.27210i | |||||
− | 2.45353i | − | 0.633500i | |||||||
−2.24632 | + | 3.89073i | −0.561579 | + | 0.972684i | |||||
−2.00823 | − | 3.47836i | −0.487068 | − | 0.843626i | 0.512822 | − | 0.858495i | ||
−0.999889 | + | 0.0148691i | ||||||||
−2.49885 | − | 4.32813i | −0.588983 | − | 1.02015i | |||||
−2.91949 | + | 5.05671i | −0.669777 | + | 1.16009i | 0.308189 | + | 0.951325i | ||
−0.977966 | + | 0.208763i | ||||||||
−10.1491 | −2.26941 | |||||||||
2.49821 | − | 0.756521i | 0.545153 | − | 0.165086i | |||||
11.0884i | 2.36406i | |||||||||
0.792981 | − | 4.72982i | 0.165348 | − | 0.986235i | |||||
4.38455 | − | 2.53142i | 0.894992 | − | 0.516724i | |||||
−0.592363 | − | 1.02600i | −0.118473 | − | 0.205201i | |||||
−4.50465 | − | 2.60076i | −0.883435 | − | 0.510052i | |||||
4.95920i | 0.954398i | |||||||||
−3.12937 | − | 10.3339i | −0.591396 | − | 1.95292i | |||||
2.64981 | 0.492057 | 0.246028 | − | 0.969263i | ||||||
0.246028 | + | 0.969263i | ||||||||
5.23975 | + | 3.02517i | 0.956643 | + | 0.552318i | |||||
−4.85302 | + | 2.80189i | −0.871628 | + | 0.503234i | −0.867889 | − | 0.496759i | ||
−0.00373884 | + | 0.999993i | ||||||||
−0.407637 | − | 0.706048i | −0.0720607 | − | 0.124813i | |||||
2.21811 | − | 3.84188i | 0.386124 | − | 0.668786i | |||||
9.90448 | 1.69860 | |||||||||
4.50016 | − | 4.80017i | 0.760665 | − | 0.811378i | |||||
8.27083 | 1.37847 | |||||||||
−0.674116 | − | 0.389201i | −0.110824 | − | 0.0639842i | 0.443563 | − | 0.896243i | ||
−0.554387 | + | 0.832259i | ||||||||
−7.19938 | − | 12.4697i | −1.16789 | − | 2.02285i | |||||
1.04051 | + | 1.80221i | 0.166614 | + | 0.288584i | |||||
6.38106 | − | 11.0523i | 1.00893 | − | 1.74752i | |||||
1.68118i | 0.262557i | 0.991346 | + | 0.131278i | ||||||
−0.991346 | + | 0.131278i | ||||||||
−1.46463 | + | 6.26793i | −0.225998 | + | 0.967163i | |||||
− | 8.94389i | − | 1.36393i | −0.731384 | − | 0.681965i | ||||
0.731384 | − | 0.681965i | ||||||||
−15.8921 | − | 9.17528i | −2.39582 | − | 1.38323i | |||||
2.52006 | + | 4.36488i | 0.375669 | + | 0.650678i | |||||
9.12323 | + | 7.52528i | 1.34515 | + | 1.10954i | |||||
−6.98642 | − | 4.03361i | −1.01907 | − | 0.588363i | −0.105239 | − | 0.994447i | ||
−0.913836 | + | 0.406084i | ||||||||
4.43234i | 0.639753i | |||||||||
6.27515 | + | 3.10201i | 0.896450 | + | 0.443145i | |||||
2.92150 | 0.413162 | |||||||||
−3.43167 | − | 1.98128i | −0.480531 | − | 0.277434i | |||||
7.45489 | − | 4.30408i | 1.03381 | − | 0.596869i | |||||
−5.49706 | + | 3.17373i | −0.755079 | + | 0.435945i | −0.827526 | − | 0.561427i | ||
0.0724468 | + | 0.997372i | ||||||||
−10.5908 | − | 6.11462i | −1.44123 | − | 0.832094i | |||||
− | 11.1826i | − | 1.50786i | |||||||
13.2211 | + | 3.08938i | 1.76674 | + | 0.412836i | |||||
5.76061i | 0.763012i | |||||||||
−3.26717 | + | 5.65891i | −0.429001 | + | 0.743051i | |||||
−10.5475 | + | 6.08961i | −1.37317 | + | 0.792799i | −0.991326 | − | 0.131428i | ||
−0.381843 | + | 0.924227i | ||||||||
−8.67142 | + | 5.00645i | −1.11948 | + | 0.646330i | |||||
2.93570 | − | 5.08478i | 0.375878 | − | 0.651039i | −0.614580 | − | 0.788854i | ||
0.990458 | + | 0.137815i | ||||||||
− | 13.8188i | − | 1.75498i | |||||||
−3.66732 | + | 3.91181i | −0.462039 | + | 0.492842i | |||||
−6.97482 | −0.871853 | |||||||||
4.54291 | + | 2.62285i | 0.563478 | + | 0.325324i | |||||
5.46980 | + | 9.47397i | 0.673286 | + | 1.16617i | |||||
−13.6208 | + | 7.86395i | −1.66404 | + | 0.960734i | −0.693284 | + | 0.720664i | ||
−0.970756 | + | 0.240070i | ||||||||
−8.19562 | + | 14.1952i | −0.993864 | + | 1.72142i | |||||
−1.65564 | − | 4.43234i | −0.199316 | − | 0.533591i | |||||
4.70259 | + | 15.5290i | 0.562067 | + | 1.85608i | |||||
5.33546 | 0.633203 | 0.316601 | − | 0.948559i | ||||||
0.316601 | + | 0.948559i | ||||||||
−5.20013 | + | 9.00688i | −0.612841 | + | 1.06147i | |||||
3.15749 | − | 1.82298i | 0.369556 | − | 0.213364i | −0.303708 | − | 0.952765i | ||
0.673265 | + | 0.739402i | ||||||||
1.66235 | − | 0.959758i | 0.193244 | − | 0.111570i | |||||
−1.01223 | − | 0.584413i | −0.116883 | − | 0.0674822i | |||||
23.8290 | 2.73337 | |||||||||
11.3862 | − | 3.44803i | 1.29758 | − | 0.392939i | |||||
−5.13171 | −0.581052 | |||||||||
4.37340 | + | 2.52498i | 0.492046 | + | 0.284083i | 0.725423 | − | 0.688304i | ||
−0.233377 | + | 0.972386i | ||||||||
5.58639 | + | 9.67591i | 0.624577 | + | 1.08180i | |||||
−0.593674 | − | 1.02827i | −0.0659638 | − | 0.114253i | |||||
−3.59033 | − | 2.07288i | −0.396485 | − | 0.228911i | |||||
−0.851415 | −0.0934550 | −0.0467275 | − | 0.998908i | ||||||
−0.0467275 | + | 0.998908i | ||||||||
−7.77135 | − | 7.28563i | −0.847924 | − | 0.794927i | |||||
−9.98859 | −1.08341 | |||||||||
19.1005 | + | 11.0277i | 2.05966 | + | 1.18915i | |||||
2.26400 | − | 1.30712i | 0.242726 | − | 0.140138i | |||||
19.9836 | − | 11.5376i | 2.13026 | − | 1.22991i | |||||
3.97758 | − | 6.88938i | 0.421623 | − | 0.730273i | −0.574475 | − | 0.818522i | ||
0.996098 | + | 0.0882493i | ||||||||
−12.4288 | −1.31011 | |||||||||
−1.26985 | + | 5.43435i | −0.133116 | + | 0.569675i | |||||
−18.3345 | + | 6.84862i | −1.91150 | + | 0.714018i | |||||
−2.76429 | + | 4.78788i | −0.286643 | + | 0.496480i | |||||
17.2283 | − | 9.94677i | 1.77696 | − | 1.02593i | |||||
7.26051 | + | 12.5756i | 0.744913 | + | 1.29023i | |||||
−0.696572 | − | 0.402166i | −0.0710936 | − | 0.0410459i | |||||
−2.72009 | −0.276184 | −0.138092 | − | 0.990419i | ||||||
−0.138092 | + | 0.990419i | ||||||||
−14.3618 | + | 9.57643i | −1.45076 | + | 0.967366i | |||||
9.11304i | 0.915895i | |||||||||
−2.41744 | + | 4.18713i | −0.241744 | + | 0.418713i | |||||
−12.3302 | + | 7.11884i | −1.22690 | + | 0.708351i | −0.966380 | − | 0.257118i | ||
−0.260519 | + | 0.965469i | ||||||||
8.46241 | − | 4.88577i | 0.837903 | − | 0.483764i | |||||
−4.71247 | + | 8.16223i | −0.464333 | + | 0.804249i | −0.999171 | − | 0.0407059i | ||
0.534838 | + | 0.844955i | ||||||||
10.8244i | 1.06142i | |||||||||
1.47707 | − | 6.32116i | 0.144147 | − | 0.616882i | |||||
− | 15.6527i | − | 1.52032i | |||||||
−15.3817 | − | 8.88064i | −1.48701 | − | 0.858524i | −0.487117 | − | 0.873337i | ||
−0.999890 | + | 0.0148126i | ||||||||
17.5271 | − | 10.1193i | 1.68655 | − | 0.973727i | |||||
5.63239 | − | 3.25186i | 0.539485 | − | 0.311472i | −0.205385 | − | 0.978681i | ||
0.744870 | + | 0.667209i | ||||||||
23.8814 | + | 13.7880i | 2.27701 | + | 1.31463i | |||||
−0.767955 | −0.0728910 | |||||||||
−8.12958 | + | 8.67157i | −0.768174 | + | 0.819386i | |||||
3.54545i | 0.333528i | 0.985997 | + | 0.166764i | ||||||
−0.985997 | + | 0.166764i | ||||||||
−12.3023 | − | 7.10275i | −1.15222 | − | 0.665234i | |||||
−9.20071 | − | 7.58918i | −0.857970 | − | 0.707695i | |||||
−5.40694 | − | 9.36510i | −0.502022 | − | 0.869528i | |||||
−3.70216 | − | 2.13744i | −0.342265 | − | 0.197607i | |||||
− | 30.0336i | − | 2.76482i | |||||||
−3.07987 | − | 10.1705i | −0.282332 | − | 0.932324i | |||||
− | 12.5908i | − | 1.14938i | |||||||
4.60959 | − | 7.98404i | 0.419053 | − | 0.725822i | |||||
7.23935 | + | 12.5389i | 0.655420 | + | 1.13522i | |||||
0.829310 | + | 1.43641i | 0.0747764 | + | 0.129516i | |||||
19.8052 | + | 11.4345i | 1.77856 | + | 1.02685i | |||||
9.48825 | 0.848655 | |||||||||
−3.83229 | − | 12.6551i | −0.341408 | − | 1.12741i | |||||
0.227609 | 0.0201970 | 0.0100985 | − | 0.999949i | ||||||
0.0100985 | + | 0.999949i | ||||||||
9.41513 | − | 16.3075i | 0.832188 | − | 1.44139i | |||||
−4.41193 | − | 7.64168i | −0.388449 | − | 0.672813i | |||||
−11.2027 | + | 6.46787i | −0.982539 | + | 0.567269i | |||||
8.89889 | + | 5.13777i | 0.777499 | + | 0.448889i | 0.835543 | − | 0.549425i | ||
−0.0580441 | + | 0.998314i | ||||||||
−18.1043 | −1.57578 | |||||||||
−10.5659 | + | 11.2703i | −0.916175 | + | 0.977255i | |||||
− | 38.7845i | − | 3.35047i | |||||||
10.6808 | + | 6.16654i | 0.919254 | + | 0.530731i | |||||
−10.3057 | − | 17.8499i | −0.883704 | − | 1.53062i | |||||
9.01269 | − | 5.20348i | 0.770006 | − | 0.444563i | −0.0628708 | − | 0.998022i | ||
0.832877 | + | 0.553459i | ||||||||
11.5071 | + | 1.92922i | 0.979545 | + | 0.164226i | |||||
− | 6.21923i | − | 0.527508i | −0.964590 | − | 0.263754i | ||||
0.964590 | − | 0.263754i | ||||||||
−26.1477 | − | 6.10994i | −2.20988 | − | 0.516384i | |||||
−7.95895 | −0.670265 | |||||||||
−6.57855 | + | 11.3944i | −0.552059 | + | 0.956195i | |||||
4.74236 | + | 8.21401i | 0.396576 | + | 0.686890i | |||||
−4.55253 | − | 7.88521i | −0.379377 | − | 0.657100i | |||||
3.29491 | − | 5.70696i | 0.273628 | − | 0.473937i | |||||
8.99082i | 0.744086i | |||||||||
6.89169 | − | 0.445099i | 0.568417 | − | 0.0367111i | |||||
3.17667i | 0.261120i | |||||||||
15.3369 | + | 8.85477i | 1.25645 | + | 0.725411i | 0.972382 | − | 0.233393i | ||
0.284067 | + | 0.958805i | ||||||||
2.49614 | − | 1.44114i | 0.203809 | − | 0.117669i | |||||
1.79196 | + | 3.10377i | 0.145828 | + | 0.252581i | 0.929681 | − | 0.368364i | ||
−0.783854 | + | 0.620946i | ||||||||
−14.9820 | + | 25.9496i | −1.21520 | + | 2.10479i | |||||
8.14002 | 0.658081 | |||||||||
−6.67542 | + | 28.5676i | −0.537920 | + | 2.30205i | |||||
13.9361i | 1.11937i | |||||||||
4.24632 | − | 7.35484i | 0.339977 | − | 0.588858i | |||||
4.35719 | + | 7.54688i | 0.347742 | + | 0.602306i | 0.985848 | − | 0.167642i | ||
−0.638106 | + | 0.769948i | ||||||||
−10.7847 | + | 6.22653i | −0.857983 | + | 0.495356i | |||||
−3.13113 | + | 5.42328i | −0.248315 | + | 0.430094i | |||||
−2.02751 | −0.160289 | |||||||||
4.89043 | − | 11.7083i | 0.385420 | − | 0.922741i | |||||
2.92797 | 0.230043 | |||||||||
−3.03003 | + | 5.24816i | −0.237330 | + | 0.411068i | −0.959947 | − | 0.280181i | ||
0.722617 | + | 0.691248i | ||||||||
5.94174 | − | 3.43047i | 0.463972 | − | 0.267874i | |||||
−5.51625 | − | 9.55442i | −0.429439 | − | 0.743811i | |||||
1.04978 | − | 1.81828i | 0.0814789 | − | 0.141126i | |||||
4.39200i | 0.339863i | 0.985456 | + | 0.169931i | ||||||
−0.985456 | + | 0.169931i | ||||||||
12.8201 | − | 3.88225i | 0.989091 | − | 0.299522i | |||||
8.55076 | 0.657751 | |||||||||
12.3158 | − | 21.3316i | 0.944577 | − | 1.63606i | |||||
−5.91682 | − | 10.2482i | −0.452471 | − | 0.783702i | |||||
−31.6100 | + | 18.2501i | −2.41024 | + | 1.39155i | |||||
7.29534 | + | 4.21197i | 0.554655 | + | 0.320230i | 0.750997 | − | 0.660305i | ||
−0.196343 | + | 0.980535i | ||||||||
6.44664i | 0.488719i | |||||||||
−0.908463 | − | 2.99995i | −0.0686733 | − | 0.226775i | |||||
20.2015i | 1.52274i | |||||||||
−6.00788 | + | 10.4059i | −0.451580 | + | 0.782159i | |||||
9.80861 | + | 16.9890i | 0.735186 | + | 1.27338i | |||||
−3.81304 | − | 6.60438i | −0.285000 | − | 0.493634i | 0.687609 | − | 0.726081i | ||
−0.972609 | + | 0.232447i | ||||||||
10.2844 | − | 17.8131i | 0.766555 | − | 1.32771i | |||||
−13.6135 | −1.01189 | −0.505943 | − | 0.862567i | ||||||
−0.505943 | + | 0.862567i | ||||||||
−10.0399 | − | 9.41235i | −0.744204 | − | 0.697690i | |||||
− | 5.79259i | − | 0.428201i | |||||||
4.06935 | − | 24.2721i | 0.299997 | − | 1.78936i | |||||
−1.67647 | + | 0.967908i | −0.123256 | + | 0.0711620i | |||||
−6.81665 | − | 11.8068i | −0.499821 | − | 0.865715i | |||||
−15.6407 | − | 9.03016i | −1.14376 | − | 0.660351i | |||||
32.9224i | 2.40112i | |||||||||
−2.98552 | + | 12.7766i | −0.217165 | + | 0.929363i | |||||
−35.8084 | −2.59782 | |||||||||
−8.68258 | − | 5.01289i | −0.628249 | − | 0.362720i | 0.151824 | − | 0.988407i | ||
−0.780074 | + | 0.625687i | ||||||||
−5.95931 | + | 3.44061i | −0.430076 | + | 0.248304i | |||||
6.77881 | + | 11.7412i | 0.487950 | + | 0.845154i | 0.999904 | − | 0.0138591i | ||
−0.511954 | + | 0.859013i | ||||||||
3.35383 | − | 5.80901i | 0.240791 | − | 0.417063i | |||||
5.17529 | 0.370610 | |||||||||
−1.84116 | − | 28.5077i | −0.131512 | − | 2.03626i | |||||
24.0652 | 1.71458 | 0.857288 | − | 0.514837i | ||||||
0.857288 | + | 0.514837i | ||||||||
−19.4617 | − | 11.2362i | −1.38309 | − | 0.798525i | |||||
12.0641 | + | 20.8956i | 0.855198 | + | 1.48125i | 0.876461 | + | 0.481473i | ||
−0.0212629 | + | 0.999774i | ||||||||
−3.03984 | − | 5.26515i | −0.214949 | − | 0.372302i | |||||
−7.75840 | + | 13.4379i | −0.547235 | + | 0.947840i | |||||
− | 35.1097i | − | 2.47031i | |||||||
6.82682 | + | 1.59523i | 0.479149 | + | 0.111963i | |||||
16.1712i | 1.13221i | |||||||||
3.62081 | + | 2.09048i | 0.252889 | + | 0.146005i | |||||
−11.6208 | − | 20.1278i | −0.809660 | − | 1.40237i | |||||
7.49795 | + | 6.18467i | 0.521143 | + | 0.429864i | |||||
−8.20681 | − | 4.73820i | −0.569040 | − | 0.328535i | |||||
26.2554i | 1.81612i | |||||||||
11.6782 | + | 10.9483i | 0.805874 | + | 0.755505i | |||||
22.0361 | 1.51703 | 0.758515 | − | 0.651656i | ||||||
0.758515 | + | 0.651656i | ||||||||
22.4336 | + | 12.9520i | 1.54074 | + | 0.889549i | |||||
4.55863 | − | 2.63193i | 0.312352 | − | 0.180337i | |||||
37.9309 | − | 21.8994i | 2.59290 | − | 1.49701i | |||||
−19.2627 | − | 11.1213i | −1.31371 | − | 0.758469i | |||||
25.4492i | 1.73160i | |||||||||
−14.1899 | + | 4.29705i | −0.963270 | + | 0.291703i | |||||
16.0380i | 1.08623i | |||||||||
1.79851 | − | 3.11511i | 0.121532 | − | 0.210500i | |||||
−39.5221 | + | 22.8181i | −2.66458 | + | 1.53840i | |||||
7.33698 | − | 4.23601i | 0.493539 | − | 0.284945i | |||||
0.946877 | − | 1.64004i | 0.0635502 | − | 0.110072i | |||||
− | 16.7338i | − | 1.12058i | −0.828297 | − | 0.560290i | ||||
0.828297 | − | 0.560290i | ||||||||
−0.625162 | − | 2.06443i | −0.0417704 | − | 0.137936i | |||||
2.40104 | 0.160069 | |||||||||
−7.57164 | − | 4.37149i | −0.503658 | − | 0.290787i | |||||
−14.6339 | − | 25.3467i | −0.971289 | − | 1.68232i | −0.691675 | − | 0.722208i | ||
−0.279613 | − | 0.960113i | ||||||||
20.3595 | − | 11.7546i | 1.34834 | − | 0.778465i | |||||
2.53147 | − | 4.38464i | 0.167284 | − | 0.289745i | −0.770180 | − | 0.637827i | ||
0.937464 | + | 0.348082i | ||||||||
27.5517 | − | 10.2916i | 1.81671 | − | 0.678609i | |||||
8.02751 | − | 8.56269i | 0.528171 | − | 0.563384i | |||||
13.5980 | 0.892755 | |||||||||
1.05963 | − | 1.83533i | 0.0694186 | − | 0.120237i | −0.829227 | − | 0.558912i | ||
0.898646 | + | 0.438676i | ||||||||
9.12941 | − | 5.27087i | 0.596808 | − | 0.344567i | |||||
−17.3746 | + | 10.0312i | −1.13339 | + | 0.654366i | |||||
43.0445 | + | 24.8518i | 2.80196 | + | 1.61771i | |||||
4.98219 | 0.323628 | |||||||||
25.5174 | + | 5.96267i | 1.65405 | + | 0.386502i | |||||
−11.1996 | −0.724444 | −0.362222 | − | 0.932092i | ||||||
−0.362222 | + | 0.932092i | ||||||||
9.54605 | + | 5.51141i | 0.616195 | + | 0.355760i | |||||
−3.32975 | − | 5.76730i | −0.214488 | − | 0.371504i | 0.738626 | − | 0.674115i | ||
−0.953114 | + | 0.302611i | ||||||||
11.3671 | + | 19.6884i | 0.730705 | + | 1.26562i | |||||
−13.8988 | − | 8.02450i | −0.891611 | − | 0.514772i | |||||
−23.9612 | −1.53396 | |||||||||
14.4838 | − | 9.65775i | 0.925334 | − | 0.617011i | |||||
−4.09011 | −0.260776 | |||||||||
−10.6662 | − | 6.15814i | −0.678675 | − | 0.391833i | |||||
−24.9043 | + | 14.3785i | −1.58142 | + | 0.913036i | |||||
−0.727451 | + | 0.419994i | −0.0461003 | + | 0.0266160i | |||||
−11.6989 | + | 20.2630i | −0.739901 | + | 1.28155i | |||||
2.15008 | 0.135712 | 0.0678559 | − | 0.997695i | ||||||
0.0678559 | + | 0.997695i | ||||||||
21.3086 | + | 4.97918i | 1.34231 | + | 0.313659i | |||||
−7.54600 | − | 20.2015i | −0.474413 | − | 1.27005i | |||||
−0.280638 | + | 0.486080i | −0.0176088 | + | 0.0304994i | |||||
−8.53427 | + | 4.92726i | −0.534437 | + | 0.308557i | |||||
16.2426 | + | 28.1330i | 1.01516 | + | 1.75831i | |||||
−24.6604 | − | 14.2377i | −1.53827 | − | 0.888122i | −0.998940 | − | 0.0460288i | ||
−0.539332 | − | 0.842093i | ||||||||
21.7594 | 1.35468 | |||||||||
−1.50245 | − | 1.40855i | −0.0933578 | − | 0.0875228i | |||||
− | 21.4077i | − | 1.32765i | |||||||
−2.68513 | + | 4.65078i | −0.166205 | + | 0.287876i | |||||
−21.9444 | + | 12.6696i | −1.35573 | + | 0.782731i | |||||
10.8838 | − | 6.28378i | 0.671126 | − | 0.387475i | −0.125377 | − | 0.992109i | ||
0.796503 | + | 0.604635i | ||||||||
11.3827 | − | 19.7154i | 0.700558 | − | 1.21340i | |||||
15.7856i | 0.969700i | |||||||||
−11.0411 | − | 36.4604i | −0.676976 | − | 2.23553i | |||||
− | 7.84840i | − | 0.480314i | |||||||
55.5865 | + | 32.0929i | 3.39548 | + | 1.96038i | |||||
13.5285 | − | 7.81069i | 0.824848 | − | 0.476226i | −0.0272372 | − | 0.999629i | ||
0.852086 | + | 0.523403i | ||||||||
−26.3385 | + | 15.2065i | −1.60291 | + | 0.925439i | |||||
13.4285 | + | 7.75294i | 0.815722 | + | 0.470957i | 0.848939 | − | 0.528491i | ||
−0.0332170 | + | 0.999448i | ||||||||
18.0445 | 1.09411 | |||||||||
1.59575 | + | 5.26952i | 0.0965789 | + | 0.318926i | |||||
25.6632i | 1.55037i | |||||||||
−4.61350 | − | 2.66360i | −0.278204 | − | 0.160621i | |||||
−12.2867 | + | 14.8957i | −0.739571 | + | 0.896615i | |||||
−0.909988 | − | 1.57615i | −0.0546759 | − | 0.0947014i | 0.837392 | − | 0.546603i | ||
−0.892068 | + | 0.451901i | ||||||||
13.2817 | + | 7.66822i | 0.796586 | + | 0.459909i | |||||
− | 11.3570i | − | 0.679924i | |||||||
23.0935 | − | 24.6331i | 1.38010 | − | 1.47211i | |||||
16.5334i | 0.986301i | 0.869944 | + | 0.493150i | ||||||
−0.869944 | + | 0.493150i | ||||||||
9.81327 | − | 16.9971i | 0.584372 | − | 1.01216i | |||||
−14.6412 | − | 25.3592i | −0.870327 | − | 1.50745i | −0.861659 | − | 0.507487i | ||
−0.00866737 | − | 0.999962i | ||||||||
−10.8870 | − | 18.8569i | −0.646027 | − | 1.11895i | |||||
12.4068 | + | 7.16307i | 0.734915 | + | 0.424303i | |||||
−23.3890 | −1.38302 | |||||||||
−1.01210 | + | 4.33132i | −0.0597425 | + | 0.255670i | |||||
1.65229 | 0.0973619 | |||||||||
0.434012 | − | 0.751731i | 0.0255301 | − | 0.0442195i | |||||
8.12516 | + | 14.0732i | 0.477126 | + | 0.826407i | |||||
−2.32405 | + | 1.34179i | −0.136238 | + | 0.0786573i | |||||
−12.8858 | − | 7.43960i | −0.754082 | − | 0.435370i | |||||
−19.5508 | −1.14217 | −0.571085 | − | 0.820891i | ||||||
−0.571085 | + | 0.820891i | ||||||||
−7.54681 | + | 15.2667i | −0.440139 | + | 0.890369i | |||||
30.2886i | 1.76347i | |||||||||
−3.45937 | − | 1.99727i | −0.201072 | − | 0.116089i | |||||
11.1497 | + | 19.3118i | 0.646971 | + | 1.12059i | |||||
−37.8204 | + | 21.8356i | −2.19088 | + | 1.26490i | |||||
9.97671 | + | 1.67265i | 0.576968 | + | 0.0967320i | |||||
4.76999i | 0.275395i | |||||||||
5.38438 | − | 23.0426i | 0.310350 | − | 1.32815i | |||||
−8.83785 | −0.508561 | |||||||||
−7.02329 | + | 12.1647i | −0.403478 | + | 0.698844i | |||||
−13.1162 | − | 22.7179i | −0.752266 | − | 1.30296i | |||||
−7.30082 | − | 12.6454i | −0.418044 | − | 0.724073i | |||||
−10.0365 | + | 17.3838i | −0.573750 | + | 0.993764i | |||||
− | 0.893505i | − | 0.0509950i | −0.999675 | − | 0.0254975i | ||||
0.999675 | − | 0.0254975i | ||||||||
−35.4198 | − | 33.2060i | −2.01823 | − | 1.89209i | |||||
9.29844i | 0.528970i | |||||||||
−29.7619 | − | 17.1830i | −1.69036 | − | 0.975930i | |||||
−23.5660 | + | 13.6058i | −1.33630 | + | 0.771516i | −0.986257 | − | 0.165216i | ||
−0.350047 | + | 0.936732i | ||||||||
5.33958 | + | 9.24842i | 0.302294 | + | 0.523589i | |||||
8.97878 | − | 15.5517i | 0.507511 | − | 0.879034i | −0.492452 | − | 0.870340i | ||
0.999962 | − | 0.00869421i | ||||||||
−21.4894 | −1.21272 | |||||||||
3.86483 | + | 12.7626i | 0.217759 | + | 0.719090i | |||||
− | 20.6090i | − | 1.15935i | |||||||
5.65331 | − | 9.79182i | 0.317522 | − | 0.549964i | −0.662449 | − | 0.749107i | ||
0.979970 | + | 0.199144i | ||||||||
−7.72129 | − | 13.3737i | −0.432988 | − | 0.749958i | |||||
10.3187 | − | 5.95752i | 0.577738 | − | 0.333557i | |||||
−8.67288 | + | 15.0219i | −0.484829 | + | 0.839748i | |||||
−17.5229 | −0.978033 | |||||||||
18.9743 | + | 24.8801i | 1.05740 | + | 1.38651i | |||||
23.4521 | 1.30491 | |||||||||
−2.42279 | + | 4.19640i | −0.134600 | + | 0.233133i | |||||
2.16417 | − | 1.24948i | 0.120047 | − | 0.0693089i | |||||
−7.47196 | − | 12.9418i | −0.413833 | − | 0.716781i | |||||
3.20822 | − | 5.55679i | 0.177415 | − | 0.307291i | |||||
8.62736i | 0.476366i | |||||||||
−15.5712 | − | 14.5979i | −0.858466 | − | 0.804810i | |||||
27.2058 | 1.49763 | |||||||||
17.8442 | − | 30.9071i | 0.980808 | − | 1.69881i | 0.321551 | − | 0.946892i | ||
0.659258 | − | 0.751917i | ||||||||
1.73732 | + | 3.00912i | 0.0953477 | + | 0.165147i | |||||
1.36621 | − | 0.788779i | 0.0748676 | − | 0.0432248i | |||||
−9.37952 | − | 5.41527i | −0.513225 | − | 0.296310i | |||||
39.1139i | 2.13702i | |||||||||
−2.66834 | + | 11.4192i | −0.145570 | + | 0.622971i | |||||
− | 17.0125i | − | 0.926730i | −0.886167 | − | 0.463365i | ||||
0.886167 | − | 0.463365i | ||||||||
−10.5430 | + | 18.2610i | −0.573462 | + | 0.993265i | |||||
1.74893 | + | 3.02924i | 0.0949891 | + | 0.164526i | |||||
20.3818 | + | 35.3023i | 1.10536 | + | 1.91453i | |||||
−12.5989 | + | 21.8219i | −0.682269 | + | 1.18172i | |||||
29.1814 | 1.57795 | |||||||||
14.2995 | + | 11.7696i | 0.772101 | + | 0.635500i | |||||
− | 45.8975i | − | 2.47463i | |||||||
−11.6048 | − | 1.94561i | −0.624780 | − | 0.104748i | |||||
−17.9901 | + | 10.3866i | −0.967154 | + | 0.558387i | |||||
−0.944481 | − | 1.63589i | −0.0507024 | − | 0.0878191i | 0.839560 | − | 0.543266i | ||
−0.890263 | + | 0.455447i | ||||||||
−9.23941 | − | 5.33437i | −0.495284 | − | 0.285953i | |||||
29.0312i | 1.55401i | 0.629497 | + | 0.777003i | ||||||
−0.629497 | + | 0.777003i | ||||||||
7.52680 | + | 1.75879i | 0.402325 | + | 0.0940114i | |||||
−10.4605 | −0.558343 | |||||||||
−3.17480 | − | 1.83297i | −0.169217 | − | 0.0976976i | |||||
15.8172 | − | 9.13208i | 0.841866 | − | 0.486052i | −0.0160319 | − | 0.999871i | ||
0.857898 | + | 0.513820i | ||||||||
−14.8152 | − | 25.6608i | −0.787422 | − | 1.36385i | |||||
6.63441 | − | 11.4911i | 0.352118 | − | 0.609886i | |||||
−32.4651 | −1.72065 | |||||||||
−7.64843 | − | 7.17039i | −0.404798 | − | 0.379497i | |||||
18.8057 | 0.993911 | |||||||||
4.45099 | + | 2.56978i | 0.234914 | + | 0.135628i | 0.612837 | − | 0.790209i | ||
−0.377923 | + | 0.925837i | ||||||||
12.9323 | + | 22.3993i | 0.681589 | + | 1.18055i | |||||
−7.54685 | − | 13.0715i | −0.397203 | − | 0.687975i | |||||
16.7853 | − | 29.0730i | 0.882215 | − | 1.52804i | |||||
− | 9.09544i | − | 0.477387i | |||||||
21.7975 | − | 6.60085i | 1.14250 | − | 0.345979i | |||||
− | 9.06717i | − | 0.474597i | |||||||
12.3706 | + | 7.14218i | 0.646623 | + | 0.373328i | |||||
4.82808 | + | 8.36248i | 0.252024 | + | 0.436518i | 0.964083 | − | 0.265602i | ||
−0.712059 | + | 0.702119i | ||||||||
16.6212 | + | 13.7099i | 0.866439 | + | 0.714680i | |||||
−2.95072 | − | 1.70360i | −0.153608 | − | 0.0886857i | |||||
− | 4.77367i | − | 0.248171i | |||||||
−16.0730 | + | 4.86731i | −0.834468 | + | 0.252698i | |||||
22.5622 | 1.16979 | |||||||||
−5.35579 | − | 3.09216i | −0.277312 | − | 0.160106i | 0.354894 | − | 0.934907i | ||
−0.632206 | + | 0.774800i | ||||||||
38.5695 | − | 22.2681i | 1.99438 | − | 1.15146i | |||||
8.10678 | − | 4.68045i | 0.418632 | − | 0.241697i | |||||
−35.8523 | − | 20.6993i | −1.84894 | − | 1.06749i | |||||
5.58929i | 0.287863i | |||||||||
−23.6046 | − | 22.1293i | −1.21409 | − | 1.13821i | |||||
− | 13.0402i | − | 0.669830i | −0.942248 | − | 0.334915i | ||||
0.942248 | − | 0.334915i | ||||||||
29.6302 | − | 51.3211i | 1.52000 | − | 2.63272i | |||||
0.194469 | − | 0.112277i | 0.00996297 | − | 0.00575212i | |||||
21.4110 | − | 12.3616i | 1.09548 | − | 0.632477i | |||||
12.2159 | − | 21.1585i | 0.624201 | − | 1.08115i | −0.364494 | − | 0.931206i | ||
0.988695 | − | 0.149942i | ||||||||
− | 18.5775i | − | 0.948031i | |||||||
6.73210 | − | 28.8102i | 0.343100 | − | 1.46831i | |||||
−33.4327 | −1.70168 | |||||||||
15.6978 | + | 9.06313i | 0.797964 | + | 0.460705i | |||||
5.55036 | + | 9.61351i | 0.281777 | + | 0.488052i | |||||
−13.7847 | + | 7.95860i | −0.698912 | + | 0.403517i | −0.806942 | − | 0.590630i | ||
0.108030 | + | 0.994148i | ||||||||
−6.38106 | + | 11.0523i | −0.323117 | + | 0.559656i | |||||
−18.0445 | + | 6.74030i | −0.912549 | + | 0.340872i | |||||
32.2023 | + | 15.9186i | 1.62646 | + | 0.804013i | |||||
10.1376 | 0.511376 | |||||||||
−29.6721 | + | 51.3935i | −1.49486 | + | 2.58917i | |||||
10.8763 | − | 6.27941i | 0.547244 | − | 0.315951i | |||||
32.2078 | − | 18.5952i | 1.61850 | − | 0.934444i | |||||
13.7111 | + | 7.91614i | 0.688143 | + | 0.397299i | 0.802916 | − | 0.596092i | ||
−0.114773 | + | 0.993392i | ||||||||
−59.4992 | −2.98243 | |||||||||
−3.46799 | + | 14.8414i | −0.173617 | + | 0.742997i | |||||
5.32254 | 0.266127 | |||||||||
0.612134 | + | 0.353416i | 0.0305685 | + | 0.0176487i | 0.515206 | − | 0.857066i | ||
−0.484638 | + | 0.874715i | ||||||||
−19.1320 | − | 33.1376i | −0.954217 | − | 1.65275i | |||||
−5.91009 | − | 10.2366i | −0.294402 | − | 0.509920i | |||||
50.3196 | + | 29.0520i | 2.50349 | + | 1.44539i | |||||
−2.95283 | −0.146727 | |||||||||
−11.8241 | + | 12.6124i | −0.586822 | + | 0.625944i | |||||
−3.50014 | −0.173496 | |||||||||
−17.6104 | − | 10.1674i | −0.871843 | − | 0.503359i | |||||
19.8589 | − | 11.4655i | 0.981960 | − | 0.566935i | 0.0790984 | − | 0.996867i | ||
0.902861 | + | 0.429932i | ||||||||
−8.92882 | + | 5.15506i | −0.440963 | + | 0.254590i | |||||
5.13364 | − | 8.89173i | 0.253224 | − | 0.438596i | |||||
38.4633 | 1.89495 | |||||||||
−30.8401 | + | 9.33917i | −1.51754 | + | 0.459551i | |||||
−22.4528 | + | 8.38696i | −1.10349 | + | 0.412197i | |||||
−1.05870 | + | 1.83372i | −0.0519694 | + | 0.0900136i | |||||
1.48928 | − | 0.859838i | 0.0730181 | − | 0.0421570i | |||||
−3.06788 | − | 5.31372i | −0.150235 | − | 0.260214i | |||||
−56.0709 | − | 32.3725i | −2.74252 | − | 1.58339i | |||||
−8.27756 | −0.404385 | −0.202193 | − | 0.979346i | ||||||
−0.202193 | + | 0.979346i | ||||||||
−25.3546 | + | 7.67802i | −1.23718 | + | 0.374649i | |||||
− | 2.27003i | − | 0.110635i | −0.998469 | − | 0.0553173i | ||||
0.998469 | − | 0.0553173i | ||||||||
−27.1702 | + | 47.0602i | −1.32263 | + | 2.29085i | |||||
14.1591 | − | 8.17477i | 0.688440 | − | 0.397471i | |||||
−28.2093 | + | 16.2867i | −1.36997 | + | 0.790951i | |||||
−2.37920 | + | 4.12090i | −0.115408 | + | 0.199893i | |||||
12.9805i | 0.628908i | |||||||||
10.6245 | − | 11.3328i | 0.514156 | − | 0.548434i | |||||
72.4840i | 3.50365i | |||||||||
8.10377 | + | 4.67871i | 0.391253 | + | 0.225890i | |||||
47.5013 | − | 27.4249i | 2.29072 | − | 1.32255i | |||||
−0.522666 | + | 0.301761i | −0.0251759 | + | 0.0145353i | −0.512535 | − | 0.858666i | ||
0.487359 | + | 0.873202i | ||||||||
−19.2949 | − | 11.1399i | −0.928327 | − | 0.535970i | |||||
27.0009 | 1.29758 | 0.648790 | − | 0.760968i | ||||||
0.648790 | + | 0.760968i | ||||||||
8.31913 | − | 35.6020i | 0.399331 | − | 1.70895i | |||||
− | 6.50139i | − | 0.311718i | |||||||
−22.9858 | − | 13.2709i | −1.10082 | − | 0.635560i | |||||
21.6022 | + | 17.8185i | 1.03337 | + | 0.852376i | |||||
4.43508 | + | 7.68178i | 0.211916 | + | 0.367050i | |||||
−6.76947 | − | 3.90836i | −0.323089 | − | 0.186536i | 0.329679 | − | 0.944093i | ||
−0.652769 | + | 0.757557i | ||||||||
− | 57.3858i | − | 2.73576i | |||||||
−11.8033 | + | 7.87041i | −0.562061 | + | 0.374781i | |||||
20.8917i | 0.993718i | |||||||||
−3.09922 | + | 5.36801i | −0.147248 | + | 0.255042i | −0.930210 | − | 0.367029i | ||
0.782961 | + | 0.622071i | ||||||||
1.56702 | + | 2.71415i | 0.0743673 | + | 0.128808i | |||||
−9.89190 | − | 17.1333i | −0.468921 | − | 0.812195i | |||||
35.7366 | + | 20.6325i | 1.69218 | + | 0.976979i | |||||
17.4719 | 0.826391 | |||||||||
−17.9696 | − | 4.19896i | −0.848983 | − | 0.198382i | |||||
−12.0380 | −0.568109 | −0.284055 | − | 0.958808i | ||||||
−0.284055 | + | 0.958808i | ||||||||
−2.96045 | + | 5.12764i | −0.139557 | + | 0.241719i | |||||
3.77978 | + | 6.54678i | 0.177983 | + | 0.308276i | |||||
12.5306 | − | 7.23452i | 0.589388 | − | 0.340283i | |||||
3.06211 | + | 1.76791i | 0.143871 | + | 0.0830637i | |||||
72.1737 | 3.38728 | |||||||||
10.1251 | + | 9.49228i | 0.474673 | + | 0.445005i | |||||
29.5618i | 1.38436i | |||||||||
−15.5450 | − | 8.97490i | −0.727164 | − | 0.419828i | 0.0902199 | − | 0.995922i | ||
−0.817384 | + | 0.576094i | ||||||||
6.24253 | + | 10.8124i | 0.291694 | + | 0.505230i | |||||
17.2499 | − | 9.95922i | 0.805155 | − | 0.464856i | |||||
−8.04805 | + | 48.0035i | −0.375242 | + | 2.23817i | |||||
12.3887i | 0.577001i | 0.957480 | + | 0.288501i | ||||||
−0.957480 | + | 0.288501i | ||||||||
8.38862 | + | 27.7012i | 0.390274 | + | 1.28877i | |||||
12.7244 | 0.591354 | 0.295677 | − | 0.955288i | ||||||
0.295677 | + | 0.955288i | ||||||||
−5.95230 | + | 10.3097i | −0.276329 | + | 0.478615i | |||||
6.87453 | + | 11.9070i | 0.318799 | + | 0.552176i | |||||
2.61301 | + | 4.52587i | 0.121046 | + | 0.209657i | |||||
−2.05265 | + | 3.55529i | −0.0949853 | + | 0.164519i | −0.909602 | − | 0.415480i | ||
0.814617 | + | 0.579999i | ||||||||
17.4458i | 0.806435i | |||||||||
−39.8260 | + | 12.0603i | −1.83900 | + | 0.556895i | |||||
− | 49.4735i | − | 2.28204i | |||||||
7.44559 | + | 4.29871i | 0.343075 | + | 0.198074i | |||||
−54.1268 | + | 31.2501i | −2.49139 | + | 1.43840i | |||||
−20.1084 | − | 34.8288i | −0.924587 | − | 1.60143i | |||||
−6.14297 | + | 10.6399i | −0.282156 | + | 0.488708i | |||||
6.91759 | 0.317401 | |||||||||
−29.6605 | + | 31.6380i | −1.35949 | + | 1.45012i | |||||
− | 12.8642i | − | 0.589009i | |||||||
13.8090 | − | 23.9178i | 0.631608 | − | 1.09398i | |||||
10.0244 | + | 17.3627i | 0.458025 | + | 0.793323i | 0.998857 | − | 0.0478079i | ||
−0.540831 | + | 0.841131i | ||||||||
−1.73231 | + | 1.00015i | −0.0790689 | + | 0.0456504i | |||||
0.820950 | − | 1.42193i | 0.0374321 | − | 0.0648343i | |||||
16.4221 | 0.748008 | |||||||||
−1.59718 | − | 12.4160i | −0.0726740 | − | 0.564946i | |||||
−37.6236 | −1.71016 | |||||||||
−3.38231 | + | 5.85834i | −0.153583 | + | 0.266013i | |||||
34.2742 | − | 19.7882i | 1.55471 | − | 0.897611i | |||||
13.5230 | + | 23.4226i | 0.612787 | + | 1.06138i | 0.990768 | + | 0.135565i | ||
−0.377981 | + | 0.925813i | ||||||||
15.0652 | − | 26.0936i | 0.681968 | − | 1.18120i | |||||
5.97872i | 0.270367i | |||||||||
2.76677 | + | 42.8393i | 0.124990 | + | 1.93528i | |||||
10.5974 | 0.478256 | 0.239128 | − | 0.970988i | ||||||
0.239128 | + | 0.970988i | ||||||||
3.38442 | − | 5.86199i | 0.152582 | − | 0.264279i | |||||
−5.32142 | − | 9.21697i | −0.239665 | − | 0.415112i | |||||
26.3026 | − | 15.1858i | 1.18341 | − | 0.683242i | |||||
19.6270 | + | 11.3317i | 0.882168 | + | 0.509320i | |||||
− | 25.1757i | − | 1.13042i | |||||||
13.7460 | + | 3.21204i | 0.616593 | + | 0.144080i | |||||
− | 2.07139i | − | 0.0928210i | |||||||
−13.8512 | + | 23.9911i | −0.620067 | + | 1.07399i | 0.369406 | + | 0.929268i | ||
−0.989473 | + | 0.144719i | ||||||||
−19.3608 | − | 33.5339i | −0.865842 | − | 1.49968i | |||||
2.16653 | + | 3.75253i | 0.0967932 | + | 0.167651i | |||||
−2.65102 | + | 4.59169i | −0.118321 | + | 0.204937i | |||||
14.7700 | 0.658561 | 0.329280 | − | 0.944232i | ||||||
0.329280 | + | 0.944232i | ||||||||
−18.8196 | + | 20.0743i | −0.838293 | + | 0.894181i | |||||
35.4078i | 1.57563i | |||||||||
52.4462 | + | 8.79290i | 2.33152 | + | 0.390892i | |||||
7.30579 | − | 4.21800i | 0.324462 | − | 0.187328i | |||||
−0.464437 | − | 0.804428i | −0.0206061 | − | 0.0356907i | |||||
10.9718 | + | 6.33457i | 0.486316 | + | 0.280775i | 0.723045 | − | 0.690801i | ||
−0.236729 | + | 0.971576i | ||||||||
− | 24.3010i | − | 1.07607i | |||||||
9.23227 | − | 2.79577i | 0.408411 | − | 0.123677i | |||||
−42.4471 | −1.87591 | |||||||||
−25.0772 | − | 14.4783i | −1.10719 | − | 0.639234i | |||||
60.8118 | − | 35.1097i | 2.68229 | − | 1.54862i | |||||
11.7195 | + | 20.2987i | 0.516422 | + | 0.894470i | |||||
−18.0051 | + | 31.1858i | −0.792631 | + | 1.37288i | |||||
−36.2749 | −1.59537 | |||||||||
4.86059 | − | 1.47191i | 0.213562 | − | 0.0646720i | |||||
8.31088 | 0.364807 | |||||||||
23.3129 | + | 13.4597i | 1.02234 | + | 0.590247i | |||||
−3.89689 | − | 6.74961i | −0.170726 | − | 0.295706i | 0.767948 | − | 0.640512i | ||
−0.938674 | + | 0.344806i | ||||||||
−6.62145 | − | 11.4687i | −0.289813 | − | 0.501971i | |||||
−1.88214 | + | 3.25996i | −0.0823002 | + | 0.142548i | −0.904238 | − | 0.427030i | ||
0.821937 | + | 0.569578i | ||||||||
− | 41.9346i | − | 1.83192i | |||||||
−2.25604 | − | 2.11503i | −0.0984616 | − | 0.0923076i | |||||
30.9912i | 1.35128i | |||||||||
19.4920 | + | 11.2537i | 0.849083 | + | 0.490218i | |||||
9.96516 | + | 17.2602i | 0.433678 | + | 0.751152i | |||||
−21.7424 | − | 7.50131i | −0.945320 | − | 0.326144i | |||||
−33.7116 | − | 19.4634i | −1.46434 | − | 0.845435i | |||||
− | 24.6832i | − | 1.07116i | |||||||
61.3917 | + | 14.3454i | 2.66167 | + | 0.621954i | |||||
−3.54616 | −0.153601 | |||||||||
16.7610 | + | 9.67696i | 0.725319 | + | 0.418763i | |||||
−38.2530 | + | 22.0854i | −1.65382 | + | 0.954834i | |||||
−69.8978 | + | 40.3555i | −3.01913 | + | 1.74309i | |||||
−6.51574 | − | 3.76186i | −0.281175 | − | 0.162336i | |||||
38.5219i | 1.66080i | |||||||||
31.4106 | − | 2.02865i | 1.35295 | − | 0.0873800i | |||||
− | 50.3315i | − | 2.16592i | |||||||
6.61885 | − | 11.4642i | 0.284567 | − | 0.492884i | −0.687937 | − | 0.725770i | ||
0.972504 | + | 0.232886i | ||||||||
−33.1142 | + | 19.1185i | −1.42238 | + | 0.821210i | |||||
−11.6314 | + | 6.71541i | −0.499152 | + | 0.288186i | |||||
−1.63726 | + | 2.83582i | −0.0701969 | + | 0.121585i | |||||
− | 16.1742i | − | 0.692826i | |||||||
−13.2211 | − | 3.08938i | −0.565810 | − | 0.132213i | |||||
−40.0668 | −1.71313 | −0.856567 | − | 0.516036i | ||||||
−0.856567 | + | 0.516036i | ||||||||
−36.7809 | − | 21.2355i | −1.57120 | − | 0.907134i | |||||
5.94967 | + | 10.3051i | 0.253926 | + | 0.439812i | |||||
11.3767 | − | 6.56837i | 0.485106 | − | 0.280076i | |||||
−7.73608 | + | 13.3993i | −0.329568 | + | 0.570829i | |||||
−8.49629 | − | 22.7455i | −0.361626 | − | 0.968112i | |||||
9.74732 | + | 9.13810i | 0.414498 | + | 0.388592i | |||||
4.48801 | 0.190677 | |||||||||
−0.954918 | + | 1.65397i | −0.0405340 | + | 0.0702069i | |||||
−21.9804 | + | 12.6904i | −0.932175 | + | 0.538192i | |||||
−9.00856 | + | 5.20109i | −0.381705 | + | 0.220377i | −0.678560 | − | 0.734545i | ||
0.296855 | + | 0.954923i | ||||||||
24.2539 | + | 14.0030i | 1.02675 | + | 0.592794i | |||||
18.8655 | 0.797928 | |||||||||
8.56743 | + | 28.2916i | 0.362040 | + | 1.19554i | |||||
−17.8179 | −0.752274 | |||||||||
−35.3086 | − | 20.3855i | −1.48941 | − | 0.859909i | |||||
0.976420 | + | 1.69121i | 0.0411512 | + | 0.0712760i | 0.885867 | − | 0.463938i | ||
−0.844716 | + | 0.535214i | ||||||||
16.2403 | + | 28.1290i | 0.683839 | + | 1.18444i | |||||
7.63594 | + | 4.40861i | 0.321246 | + | 0.185472i | |||||
72.2093 | 3.03518 | |||||||||
−0.910474 | − | 3.00660i | −0.0382363 | − | 0.126265i | |||||
27.3801 | 1.14884 | |||||||||
11.3311 | + | 6.54204i | 0.475026 | + | 0.274256i | 0.718341 | − | 0.695691i | ||
−0.243315 | + | 0.969947i | ||||||||
−30.5948 | + | 17.6639i | −1.28148 | + | 0.739860i | |||||
−15.3278 | + | 8.84950i | −0.641448 | + | 0.370340i | −0.785172 | − | 0.619278i | ||
0.143724 | + | 0.989618i | ||||||||
19.3536 | − | 33.5215i | 0.809216 | − | 1.40160i | |||||
−9.89122 | −0.413212 | |||||||||
−8.00203 | − | 7.50189i | −0.333998 | − | 0.313123i | |||||
−5.32254 | + | 1.98817i | −0.221965 | + | 0.0829124i | |||||
7.06781 | − | 12.2418i | 0.294492 | − | 0.510075i | |||||
−5.88411 | + | 3.39719i | −0.244959 | + | 0.141427i | −0.617454 | − | 0.786607i | ||
0.372495 | + | 0.928034i | ||||||||
1.07026 | + | 1.85375i | 0.0445170 | + | 0.0771057i | |||||
11.5837 | + | 6.68783i | 0.481401 | + | 0.277937i | |||||
−26.8932 | −1.11668 | |||||||||
−2.19354 | − | 0.512567i | −0.0910035 | − | 0.0212648i | |||||
− | 6.61764i | − | 0.274310i | |||||||
−14.2709 | + | 24.7179i | −0.591041 | + | 1.02371i | |||||
16.2033 | − | 9.35501i | 0.670499 | − | 0.387113i | |||||
−9.20694 | + | 5.31563i | −0.380660 | + | 0.219774i | |||||
24.1058 | − | 41.7525i | 0.995803 | − | 1.72478i | |||||
− | 28.6736i | − | 1.18349i | −0.806126 | − | 0.591744i | ||||
0.806126 | − | 0.591744i | ||||||||
−15.6356 | − | 23.4488i | −0.644803 | − | 0.967012i | |||||
− | 32.7204i | − | 1.34822i | |||||||
−64.6842 | − | 37.3454i | −2.66301 | − | 1.53749i | |||||
20.5614 | − | 11.8711i | 0.845782 | − | 0.488312i | |||||
3.02856 | − | 1.74854i | 0.124473 | − | 0.0718644i | |||||
−13.4997 | − | 7.79404i | −0.554365 | − | 0.320063i | 0.196515 | − | 0.980501i | ||
−0.750881 | + | 0.660438i | ||||||||
−54.9897 | −2.25625 | |||||||||
−25.7341 | − | 6.01330i | −1.05499 | − | 0.246521i | |||||
− | 72.2729i | − | 2.96041i | |||||||
20.6151 | + | 11.9021i | 0.843720 | + | 0.487122i | |||||
−15.8732 | + | 19.2438i | −0.649105 | + | 0.786939i | |||||
−0.559872 | − | 0.969726i | −0.0228757 | − | 0.0396219i | 0.854361 | − | 0.519680i | ||
−0.877237 | + | 0.480058i | ||||||||
−5.19449 | − | 2.99904i | −0.212064 | − | 0.122435i | |||||
3.71483i | 0.151531i | 0.997126 | + | 0.0757656i | ||||||
−0.997126 | + | 0.0757656i | ||||||||
42.5707 | + | 39.9100i | 1.73505 | + | 1.62661i | |||||
− | 31.8751i | − | 1.29806i | |||||||
7.31302 | − | 12.6665i | 0.297562 | − | 0.515393i | |||||
−11.4636 | − | 19.8556i | −0.466063 | − | 0.807245i | |||||
−17.3192 | − | 29.9978i | −0.703546 | − | 1.21858i | |||||
8.88138 | + | 5.12767i | 0.360484 | + | 0.208126i | 0.669293 | − | 0.742999i | ||
−0.308809 | + | 0.951124i | ||||||||
4.76037 | 0.193059 | |||||||||
6.61976 | − | 2.00463i | 0.268246 | − | 0.0812318i | |||||
36.0072 | 1.45789 | |||||||||
8.50819 | − | 14.7366i | 0.344204 | − | 0.596179i | |||||
−16.6097 | − | 28.7689i | −0.671409 | − | 1.16292i | |||||
34.1659 | − | 19.7257i | 1.37995 | − | 0.796714i | 0.387796 | − | 0.921745i | ||
0.992153 | + | 0.125032i | ||||||||
1.90816 | + | 1.10168i | 0.0770072 | + | 0.0444601i | |||||
4.12484 | 0.166330 | |||||||||
58.4307 | − | 17.6943i | 2.35424 | − | 0.712924i | |||||
32.7292i | 1.31763i | 0.752305 | + | 0.658815i | ||||||
−0.752305 | + | 0.658815i | ||||||||
−19.8577 | − | 11.4648i | −0.798793 | − | 0.461184i | |||||
13.3844 | + | 23.1825i | 0.537965 | + | 0.931784i | 0.999013 | + | 0.0444084i | ||
−0.461048 | + | 0.887375i | ||||||||
49.2538 | − | 28.4367i | 1.97808 | − | 1.14205i | |||||
23.4561 | + | 3.93255i | 0.941261 | + | 0.157808i | |||||
− | 67.1032i | − | 2.69059i | |||||||
14.3952 | − | 15.3549i | 0.576730 | − | 0.615180i | |||||
−9.34922 | −0.374268 | |||||||||
14.7600 | − | 25.5651i | 0.590401 | − | 1.02260i | |||||
22.1414 | + | 38.3500i | 0.884948 | + | 1.53278i | |||||
12.9515 | + | 22.4327i | 0.517234 | + | 0.895875i | |||||
17.7818 | − | 30.7989i | 0.709569 | − | 1.22901i | |||||
3.12642i | 0.124659i | |||||||||
−32.0210 | − | 7.48236i | −1.27575 | − | 0.298104i | |||||
3.62895i | 0.144466i | 0.997388 | + | 0.0722331i | ||||||
−0.997388 | + | 0.0722331i | ||||||||
22.4430 | + | 12.9575i | 0.892736 | + | 0.515421i | |||||
18.8277 | − | 10.8702i | 0.748334 | − | 0.432051i | |||||
13.9409 | + | 24.1463i | 0.553664 | + | 0.958974i | |||||
0.283021 | − | 0.490207i | 0.0112314 | − | 0.0194533i | |||||
25.5564 | 1.01338 | |||||||||
−6.54314 | + | 13.2363i | −0.259249 | + | 0.524442i | |||||
29.3822i | 1.16325i | |||||||||
−5.40659 | + | 9.36449i | −0.213881 | + | 0.370453i | |||||
−23.4146 | − | 40.5553i | −0.925543 | − | 1.60309i | |||||
−16.2330 | + | 9.37215i | −0.641166 | + | 0.370177i | −0.785064 | − | 0.619415i | ||
0.143897 | + | 0.989593i | ||||||||
21.6055 | − | 37.4218i | 0.852700 | − | 1.47692i | |||||
−21.3880 | −0.843460 | −0.421730 | − | 0.906722i | ||||||
−0.421730 | + | 0.906722i | ||||||||
−51.3590 | + | 6.60676i | −2.02383 | + | 0.260343i | |||||
−21.9441 | −0.864050 | |||||||||
−28.9160 | + | 50.0840i | −1.13769 | + | 1.97053i | |||||
9.62615 | − | 5.55766i | 0.378443 | − | 0.218494i | −0.298698 | − | 0.954348i | ||
0.677141 | + | 0.735854i | ||||||||
−3.04657 | − | 5.27681i | −0.119680 | − | 0.207293i | |||||
−27.3824 | + | 47.4277i | −1.07485 | + | 1.86170i | |||||
6.16238i | 0.241708i | |||||||||
−10.0042 | + | 10.6711i | −0.392094 | + | 0.418234i | |||||
24.7312 | 0.968547 | |||||||||
−1.47495 | + | 2.55469i | −0.0577194 | + | 0.0999729i | −0.893441 | − | 0.449180i | ||
0.835722 | + | 0.549153i | ||||||||
7.91137 | + | 13.7029i | 0.309359 | + | 0.535825i | |||||
22.1307 | − | 12.7772i | 0.864719 | − | 0.499246i | |||||
−6.54104 | − | 3.77647i | −0.255385 | − | 0.147446i | |||||
7.38913i | 0.288277i | |||||||||
50.3743 | − | 15.2546i | 1.96379 | − | 0.594687i | |||||
13.6891i | 0.533252i | 0.963800 | + | 0.266626i | ||||||
−0.963800 | + | 0.266626i | ||||||||
−22.5119 | + | 38.9917i | −0.876273 | + | 1.51775i | |||||
−10.1060 | − | 17.5041i | −0.393078 | − | 0.680830i | 0.599776 | − | 0.800168i | ||
−0.992854 | + | 0.119337i | ||||||||
44.0034 | + | 76.2161i | 1.71024 | + | 2.96222i | |||||
4.17915 | − | 7.23851i | 0.162305 | − | 0.281120i | |||||
−4.36922 | −0.169559 | |||||||||
11.1349 | + | 36.7700i | 0.431793 | + | 1.42588i | |||||
3.89021i | 0.150743i | |||||||||
2.10125 | − | 12.5331i | 0.0813605 | − | 0.485283i | |||||
15.5225 | − | 8.96190i | 0.600582 | − | 0.346746i | |||||
−8.25461 | − | 14.2974i | −0.319142 | − | 0.552770i | |||||
−83.5313 | − | 48.2268i | −3.22710 | − | 1.86316i | |||||
− | 26.4012i | − | 1.01921i | |||||||
−1.55250 | − | 1.45547i | −0.0598891 | − | 0.0561459i | |||||
35.7251 | 1.37710 | 0.688551 | − | 0.725188i | ||||||
0.688551 | + | 0.725188i | ||||||||
36.3318 | + | 20.9762i | 1.39945 | + | 0.807972i | |||||
5.08815 | − | 2.93765i | 0.195843 | − | 0.113070i | |||||
−17.4479 | − | 30.2206i | −0.671072 | − | 1.16233i | |||||
−16.1105 | + | 27.9042i | −0.619177 | + | 1.07245i | 0.370460 | + | 0.928849i | ||
−0.989636 | + | 0.143597i | ||||||||
−8.62564 | −0.331266 | |||||||||
−7.00791 | − | 1.63754i | −0.268939 | − | 0.0628431i | |||||
−51.2586 | −1.96568 | |||||||||
−25.0065 | − | 14.4375i | −0.958253 | − | 0.553247i | |||||
−31.0685 | − | 53.8123i | −1.18968 | − | 2.06058i | |||||
−2.81568 | − | 4.87691i | −0.107739 | − | 0.186610i | 0.807115 | − | 0.590394i | ||
−0.914854 | + | 0.403785i | ||||||||
−24.1466 | + | 41.8232i | −0.923269 | + | 1.59915i | |||||
− | 25.8812i | − | 0.988869i | |||||||
−42.7662 | + | 16.0262i | −1.63282 | + | 0.611883i | |||||
− | 4.99499i | − | 0.190571i | |||||||
34.7983 | + | 20.0908i | 1.32667 | + | 0.765955i | |||||
−6.69442 | − | 11.5951i | −0.255037 | − | 0.441737i | |||||
18.4635 | − | 22.3842i | 0.702895 | − | 0.852150i | |||||
−8.76063 | − | 5.05795i | −0.333270 | − | 0.192414i | 0.324022 | − | 0.946050i | ||
−0.657292 | + | 0.753636i | ||||||||
− | 34.3782i | − | 1.30686i | |||||||
−5.48620 | + | 23.4784i | −0.208404 | + | 0.891869i | |||||
4.65812 | 0.176820 | |||||||||
−13.3945 | − | 7.73333i | −0.508083 | − | 0.293342i | |||||
11.6182 | − | 6.70777i | 0.440387 | − | 0.254257i | |||||
5.84776 | − | 3.37621i | 0.221500 | − | 0.127883i | |||||
−61.9989 | − | 35.7951i | −2.34669 | − | 1.35486i | |||||
− | 2.09081i | − | 0.0790819i | |||||||
−8.74889 | + | 9.33217i | −0.330677 | + | 0.352723i | |||||
33.1633i | 1.25256i | 0.779598 | + | 0.626280i | ||||||
−0.779598 | + | 0.626280i | ||||||||
12.8977 | − | 22.3395i | 0.486792 | − | 0.843149i | |||||
3.93615 | − | 2.27254i | 0.148455 | − | 0.0857104i | |||||
−27.1610 | + | 15.6814i | −1.02367 | + | 0.591015i | |||||
−9.89660 | + | 17.1414i | −0.372728 | + | 0.645583i | |||||
45.0389i | 1.69506i | |||||||||
−36.0525 | + | 10.9176i | −1.35589 | + | 0.410599i | |||||
49.0364 | 1.84290 | |||||||||
−25.8075 | − | 14.9000i | −0.969221 | − | 0.559580i | −0.0702227 | − | 0.997531i | ||
−0.898999 | + | 0.437951i | ||||||||
16.3603 | + | 28.3368i | 0.613989 | + | 1.06346i | |||||
−8.86340 | + | 5.11729i | −0.332404 | + | 0.191913i | |||||
20.4118 | − | 35.3543i | 0.764965 | − | 1.32496i | |||||
9.40408 | + | 25.1757i | 0.352186 | + | 0.942839i | |||||
24.7434 | − | 7.49295i | 0.926000 | − | 0.280416i | |||||
23.5877 | 0.882128 | |||||||||
−15.5611 | + | 26.9525i | −0.581544 | + | 1.00726i | |||||
−9.56899 | + | 5.52466i | −0.357360 | + | 0.206322i | |||||
−10.9760 | + | 6.33701i | −0.409621 | + | 0.236495i | |||||
−40.1866 | − | 23.2017i | −1.49871 | − | 0.865279i | −0.498708 | − | 0.866770i | ||
−0.999999 | + | 0.00149132i | ||||||||
−22.6435 | −0.843872 | |||||||||
−17.0548 | + | 18.1918i | −0.635153 | + | 0.677497i | |||||
37.2206 | 1.38521 | |||||||||
−5.68989 | − | 3.28506i | −0.211609 | − | 0.122173i | |||||
27.7785 | + | 48.1138i | 1.03238 | + | 1.78813i | |||||
−1.56965 | − | 2.71871i | −0.0582952 | − | 0.100970i | |||||
19.4242 | + | 11.2145i | 0.720898 | + | 0.416211i | |||||
−2.32964 | −0.0864016 | −0.0432008 | − | 0.999066i | ||||||
−0.0432008 | + | 0.999066i | ||||||||
−6.51650 | + | 27.8875i | −0.241517 | + | 1.03358i | |||||
−12.2716 | −0.454502 | |||||||||
19.3638 | + | 11.1797i | 0.716686 | + | 0.413779i | |||||
−31.1101 | + | 17.9614i | −1.15065 | + | 0.664327i | |||||
−20.4725 | + | 11.8198i | −0.756687 | + | 0.436873i | |||||
−16.1650 | + | 27.9986i | −0.597067 | + | 1.03415i | 0.396184 | + | 0.918171i | ||
−0.993252 | + | 0.115980i | ||||||||
−23.8118 | −0.878909 | |||||||||
7.61089 | − | 15.3963i | 0.280732 | − | 0.567901i | |||||
−3.66273 | + | 1.36817i | −0.135010 | + | 0.0504313i | |||||
−35.3608 | + | 61.2467i | −1.30253 | + | 2.25605i | |||||
7.27638 | − | 4.20102i | 0.267847 | − | 0.154642i | |||||
−10.2719 | − | 17.7914i | −0.377858 | − | 0.654469i | 0.612893 | − | 0.790166i | ||
−0.990750 | + | 0.135697i | ||||||||
6.84168 | + | 3.95004i | 0.251505 | + | 0.145207i | |||||
−12.1510 | −0.446378 | |||||||||
9.42316 | − | 40.3267i | 0.345935 | − | 1.48044i | |||||
7.41754i | 0.272123i | 0.990700 | + | 0.136062i | ||||||
−0.990700 | + | 0.136062i | ||||||||
−14.1855 | + | 24.5700i | −0.520067 | + | 0.900782i | |||||
38.1415 | − | 22.0210i | 1.39740 | − | 0.806788i | |||||
13.2072 | − | 7.62519i | 0.483550 | − | 0.279178i | |||||
0.862766 | − | 1.49435i | 0.0315669 | − | 0.0546756i | |||||
73.7044i | 2.69490i | |||||||||
−34.2824 | − | 32.1397i | −1.25265 | − | 1.17436i | |||||
23.0837i | 0.842898i | |||||||||
27.3532 | + | 15.7924i | 0.998132 | + | 0.576272i | 0.907695 | − | 0.419631i | ||
0.0904367 | + | 0.995902i | ||||||||
31.3874 | − | 18.1215i | 1.14458 | − | 0.660825i | |||||
1.83703 | − | 1.06061i | 0.0669452 | − | 0.0386508i | |||||
−11.9365 | − | 6.89151i | −0.434700 | − | 0.250974i | |||||
8.91290 | 0.324374 | |||||||||
51.2479 | − | 15.5192i | 1.86387 | − | 0.564427i | |||||
− | 31.9227i | − | 1.16025i | −0.814528 | − | 0.580125i | ||||
0.814528 | − | 0.580125i | ||||||||
27.8485 | + | 16.0784i | 1.01150 | + | 0.583993i | |||||
−16.4125 | − | 13.5378i | −0.595735 | − | 0.491391i | |||||
37.2589 | + | 64.5343i | 1.35152 | + | 2.34090i | |||||
−3.76130 | − | 2.17159i | −0.136347 | − | 0.0787199i | 0.430275 | − | 0.902698i | ||
−0.566622 | + | 0.823978i | ||||||||
0.553743i | 0.0200600i | |||||||||
16.4687 | − | 4.98714i | 0.596206 | − | 0.180546i | |||||
40.9153i | 1.48026i | |||||||||
10.1217 | − | 17.5314i | 0.365953 | − | 0.633848i | |||||
30.1239 | + | 52.1762i | 1.08842 | + | 1.88520i | |||||
−12.8449 | − | 22.2481i | −0.463804 | − | 0.803332i | |||||
27.7554 | + | 16.0246i | 1.00154 | + | 0.578238i | |||||
30.9232 | 1.11512 | 0.557559 | − | 0.830137i | ||||||
0.557559 | + | 0.830137i | ||||||||
53.2263 | + | 49.8996i | 1.91814 | + | 1.79826i | |||||
−28.0932 | −1.01175 | |||||||||
27.6644 | − | 47.9162i | 0.995664 | − | 1.72454i | |||||
4.83709 | + | 8.37808i | 0.173978 | + | 0.301339i | 0.939807 | − | 0.341705i | ||
−0.765829 | + | 0.643044i | ||||||||
−38.7103 | + | 22.3494i | −1.39141 | + | 0.803333i | |||||
5.74949 | + | 3.31947i | 0.206528 | + | 0.119239i | |||||
−13.9587 | −0.501089 | |||||||||
−1.97852 | − | 0.462322i | −0.0709790 | − | 0.0165857i | |||||
− | 39.2514i | − | 1.40723i | |||||||
−8.50125 | − | 4.90820i | −0.304589 | − | 0.175855i | |||||
−10.5602 | − | 18.2908i | −0.378116 | − | 0.654916i | |||||
20.7771 | − | 11.9956i | 0.743462 | − | 0.429238i | |||||
7.85406 | − | 46.8464i | 0.280861 | − | 1.67522i | |||||
13.1409i | 0.469618i | |||||||||
−26.1651 | + | 17.4468i | −0.934467 | + | 0.623102i | |||||
21.6719 | 0.773503 | |||||||||
−12.4996 | + | 21.6499i | −0.445844 | + | 0.772225i | |||||
−10.9244 | − | 18.9216i | −0.389413 | − | 0.674484i | 0.602957 | − | 0.797773i | ||
−0.992371 | + | 0.123290i | ||||||||
−49.1052 | − | 85.0527i | −1.74930 | − | 3.02988i | |||||
6.19945 | − | 10.7378i | 0.220706 | − | 0.382274i | |||||
30.9697i | 1.10185i | |||||||||
−2.13442 | + | 9.13432i | −0.0758913 | + | 0.324779i | |||||
46.7655i | 1.66174i | |||||||||
10.7254 | + | 6.19233i | 0.380871 | + | 0.219896i | |||||
−33.8113 | + | 19.5210i | −1.19992 | + | 0.692773i | |||||
7.78685 | + | 13.4872i | 0.276171 | + | 0.478343i | |||||
49.2335 | − | 85.2750i | 1.74504 | − | 3.02249i | |||||
−21.0566 | −0.745864 | −0.372932 | − | 0.927859i | ||||||
−0.372932 | + | 0.927859i | ||||||||
−27.4191 | − | 25.7054i | −0.970626 | − | 0.909961i | |||||
32.4017i | 1.14629i | |||||||||
−0.482938 | + | 0.836473i | −0.0170744 | + | 0.0295738i | |||||
8.06122 | + | 13.9624i | 0.284829 | + | 0.493339i | |||||
−1.50950 | + | 0.871512i | −0.0533024 | + | 0.0307742i | |||||
8.19716 | − | 14.1979i | 0.289271 | − | 0.501033i | |||||
63.3243 | 2.23327 | |||||||||
−19.1354 | − | 25.0914i | −0.674435 | − | 0.884355i | |||||
29.1482 | 1.02670 | |||||||||
7.70586 | − | 13.3469i | 0.271259 | − | 0.469835i | |||||
−63.2750 | + | 36.5318i | −2.22601 | + | 1.28519i | |||||
10.7424 | + | 18.6065i | 0.377684 | + | 0.654168i | 0.990725 | − | 0.135883i | ||
−0.613041 | + | 0.790051i | ||||||||
3.64080 | − | 6.30604i | 0.127925 | − | 0.221572i | |||||
20.3429i | 0.714337i | 0.934040 | + | 0.357169i | ||||||
−0.934040 | + | 0.357169i | ||||||||
−8.29222 | − | 27.3828i | −0.291000 | − | 0.960949i | |||||
15.2978 | 0.536516 | |||||||||
4.31562 | − | 7.47488i | 0.151263 | − | 0.261994i | |||||
7.53541 | + | 13.0517i | 0.263954 | + | 0.457181i | |||||
15.4173 | − | 8.90116i | 0.539712 | − | 0.311603i | |||||
45.2266 | + | 26.1116i | 1.58228 | + | 0.913530i | |||||
56.5474i | 1.97713i | |||||||||
−8.25127 | − | 7.73556i | −0.288323 | − | 0.270302i | |||||
− | 17.0625i | − | 0.595849i | |||||||
14.0687 | − | 24.3678i | 0.491003 | − | 0.850441i | −0.508944 | − | 0.860800i | ||
0.999946 | + | 0.0103584i | ||||||||
12.6594 | + | 21.9267i | 0.441548 | + | 0.764783i | |||||
16.7763 | + | 29.0574i | 0.584786 | + | 1.01288i | 0.994902 | + | 0.100846i | ||
−0.410116 | + | 0.912033i | ||||||||
−24.1830 | + | 41.8862i | −0.842456 | + | 1.45918i | |||||
−5.25571 | −0.182980 | |||||||||
18.0807 | − | 77.3770i | 0.629109 | − | 2.69229i | |||||
− | 27.0254i | − | 0.939764i | −0.882729 | − | 0.469882i | ||||
0.882729 | − | 0.469882i | ||||||||
6.55861 | − | 39.1195i | 0.227928 | − | 1.35950i | |||||
14.0246 | − | 8.09710i | 0.487094 | − | 0.281224i | −0.236274 | − | 0.971686i | ||
0.723368 | + | 0.690463i | ||||||||
−2.61072 | − | 4.52189i | −0.0906193 | − | 0.156957i | |||||
−1.55499 | − | 0.897775i | −0.0539421 | − | 0.0311435i | |||||
− | 14.7121i | − | 0.510052i | |||||||
−1.81204 | − | 28.0568i | −0.0627835 | − | 0.972110i | |||||
15.1306 | 0.523930 | |||||||||
9.45917 | + | 5.46125i | 0.327348 | + | 0.188994i | |||||
92.7934 | − | 53.5743i | 3.20933 | − | 1.85291i | |||||
−13.8951 | − | 24.0671i | −0.480286 | − | 0.831880i | |||||
10.2061 | − | 17.6775i | 0.352564 | − | 0.610659i | |||||
43.1817 | 1.49080 | 0.745399 | − | 0.666618i | ||||||
0.745399 | + | 0.666618i | ||||||||
7.57990 | − | 32.4384i | 0.261531 | − | 1.11923i | |||||
−21.9785 | −0.757880 | |||||||||
4.84787 | + | 2.79892i | 0.167069 | + | 0.0964571i | |||||
8.15576 | + | 14.1262i | 0.280899 | + | 0.486532i | |||||
−44.9648 | − | 77.8814i | −1.54775 | − | 2.68079i | |||||
10.6325 | − | 18.4160i | 0.365769 | − | 0.633530i | |||||
40.3175i | 1.38614i | |||||||||
16.6824 | − | 17.7946i | 0.573215 | − | 0.611430i | |||||
− | 28.5168i | − | 0.979271i | |||||||
−25.0189 | − | 14.4447i | −0.858646 | − | 0.495739i | |||||
−5.86705 | − | 10.1620i | −0.201238 | − | 0.348555i | |||||
−2.37541 | + | 2.87982i | −0.0814280 | + | 0.0987188i | |||||
−18.6038 | − | 10.7409i | −0.637356 | − | 0.367978i | |||||
18.9128i | 0.647562i | 0.946132 | + | 0.323781i | ||||||
−0.946132 | + | 0.323781i | ||||||||
11.1024 | + | 36.6628i | 0.379918 | + | 1.25458i | |||||
−29.4292 | −1.00646 | |||||||||
−78.9346 | − | 45.5729i | −2.69793 | − | 1.55765i | |||||
−0.228365 | + | 0.131846i | −0.00780079 | + | 0.00450379i | −0.503895 | − | 0.863765i | ||
0.496095 | + | 0.868269i | ||||||||
−19.9836 | + | 11.5376i | −0.682231 | + | 0.393886i | |||||
35.3191 | + | 20.3915i | 1.20507 | + | 0.695748i | 0.961678 | − | 0.274180i | ||
0.243393 | + | 0.969928i | ||||||||
90.7726i | 3.09532i | |||||||||
1.27185 | + | 4.19995i | 0.0433446 | + | 0.143134i | |||||
− | 1.48827i | − | 0.0506907i | |||||||
−6.30497 | + | 10.9205i | −0.214624 | + | 0.371739i | −0.953156 | − | 0.302479i | ||
0.738532 | + | 0.674218i | ||||||||
3.50143 | − | 2.02155i | 0.119121 | − | 0.0687746i | |||||
18.1429 | − | 10.4748i | 0.616876 | − | 0.356154i | |||||
−33.2917 | + | 57.6629i | −1.13130 | + | 1.95947i | |||||
− | 0.856375i | − | 0.0290840i | |||||||
44.1414 | + | 41.3825i | 1.49826 | + | 1.40461i | |||||
22.7075 | 0.770301 | |||||||||
13.8843 | + | 8.01611i | 0.470722 | + | 0.271772i | |||||
−16.5876 | − | 28.7306i | −0.562049 | − | 0.973498i | |||||
28.9038 | − | 16.6876i | 0.978806 | − | 0.565114i | |||||
2.75635 | − | 4.77415i | 0.0932885 | − | 0.161580i | |||||
−64.6883 | + | 24.1635i | −2.18812 | + | 0.817343i | |||||
24.4450 | + | 5.71209i | 0.826393 | + | 0.193104i | |||||
−14.6795 | −0.495974 | |||||||||
8.44781 | − | 14.6320i | 0.285262 | − | 0.494089i | −0.687411 | − | 0.726269i | ||
0.972673 | + | 0.232180i | ||||||||
16.6933 | − | 9.63789i | 0.563372 | − | 0.325263i | |||||
−16.7042 | + | 9.64420i | −0.563420 | + | 0.325291i | |||||
43.5084 | + | 25.1196i | 1.46667 | + | 0.846782i | |||||
−12.0628 | −0.406406 | −0.203203 | − | 0.979137i | ||||||
−0.203203 | + | 0.979137i | ||||||||
−2.25473 | − | 34.9111i | −0.0759206 | − | 1.17552i | |||||
−49.2906 | −1.65876 | −0.829381 | − | 0.558684i | ||||||
−0.829381 | + | 0.558684i | ||||||||
−29.9423 | − | 17.2872i | −1.00707 | − | 0.581431i | |||||
14.9411 | + | 25.8787i | 0.502238 | + | 0.869902i | |||||
−7.64259 | − | 13.2374i | −0.256758 | − | 0.444718i | |||||
−5.19931 | − | 3.00182i | −0.174576 | − | 0.100791i | 0.410166 | − | 0.912011i | ||
−0.584742 | + | 0.811220i | ||||||||
−3.94092 | −0.132249 | |||||||||
0.586400 | + | 0.137024i | 0.0196672 | + | 0.00459565i | |||||
48.7863 | 1.63532 | |||||||||
−4.62371 | − | 2.66950i | −0.154900 | − | 0.0894316i | |||||
−59.1416 | + | 34.1454i | −1.98021 | + | 1.14327i | |||||
40.7936 | − | 23.5522i | 1.36511 | − | 0.788144i | |||||
−21.5425 | + | 37.3128i | −0.720491 | + | 1.24793i | |||||
−18.9654 | −0.633943 | |||||||||
34.0740 | − | 36.3457i | 1.13833 | − | 1.21422i | |||||
9.34922 | − | 3.49229i | 0.312161 | − | 0.116604i | |||||
14.8427 | − | 25.7083i | 0.495307 | − | 0.857897i | |||||
−12.8596 | + | 7.42447i | −0.428890 | + | 0.247620i | |||||
−4.89934 | − | 8.48590i | −0.163311 | − | 0.282863i | |||||
22.0787 | + | 12.7472i | 0.735550 | + | 0.424670i | |||||
−18.6417 | −0.620700 | |||||||||
−6.76624 | − | 22.3437i | −0.225166 | − | 0.743552i | |||||
18.1942i | 0.605132i | |||||||||
−16.9278 | + | 29.3198i | −0.562700 | + | 0.974625i | |||||
−7.55108 | + | 4.35962i | −0.250868 | + | 0.144839i | |||||
−16.8846 | + | 9.74834i | −0.560645 | + | 0.323688i | −0.753404 | − | 0.657558i | ||
0.192760 | + | 0.981246i | ||||||||
−59.7213 | + | 103.440i | −1.98192 | + | 3.43279i | |||||
− | 28.8550i | − | 0.957058i | |||||||
−32.7558 | + | 9.91928i | −1.08584 | + | 0.328821i | |||||
− | 39.2121i | − | 1.29916i | −0.760295 | − | 0.649578i | ||||
0.760295 | − | 0.649578i | ||||||||
−22.4130 | − | 12.9402i | −0.742169 | − | 0.428492i | |||||
−3.31554 | + | 1.91423i | −0.109728 | + | 0.0633516i | |||||
38.3335 | − | 22.1318i | 1.26796 | − | 0.732056i | |||||
−12.4757 | − | 7.20283i | −0.412433 | − | 0.238118i | |||||
−20.6619 | −0.682689 | |||||||||
19.8336 | + | 18.5940i | 0.654963 | + | 0.614027i | |||||
49.1183i | 1.62114i | |||||||||
35.0711 | + | 20.2483i | 1.15689 | + | 0.667929i | 0.950556 | − | 0.310553i | ||
0.206331 | + | 0.978482i | ||||||||
−47.2154 | − | 38.9455i | −1.55665 | − | 1.28400i | |||||
−0.440756 | − | 0.763412i | −0.0145234 | − | 0.0251553i | |||||
−26.4573 | − | 15.2751i | −0.871325 | − | 0.503060i | |||||
11.2542i | 0.370437i | |||||||||
−46.6429 | − | 10.8991i | −1.53444 | − | 0.358554i | |||||
0.922193i | 0.0303215i | |||||||||
−15.6890 | + | 27.1742i | −0.515573 | + | 0.892999i | |||||
−9.55058 | − | 16.5421i | −0.313682 | − | 0.543314i | |||||
−1.08016 | − | 1.87089i | −0.0354580 | − | 0.0614150i | |||||
19.1452 | + | 11.0535i | 0.628134 | + | 0.362653i | 0.780029 | − | 0.625743i | ||
−0.151895 | + | 0.988397i | ||||||||
−33.9048 | −1.11178 | |||||||||
−34.0062 | + | 22.6753i | −1.11451 | + | 0.743153i | |||||
−8.64872 | −0.283298 | |||||||||
−13.4232 | + | 23.2497i | −0.439457 | + | 0.761161i | |||||
−5.06178 | − | 8.76725i | −0.165626 | − | 0.286873i | |||||
−38.8970 | + | 22.4572i | −1.27207 | + | 0.734429i | |||||
−18.9984 | − | 10.9687i | −0.620983 | − | 0.358524i | |||||
18.7417 | 0.612266 | 0.306133 | − | 0.951989i | ||||||
0.306133 | + | 0.951989i | ||||||||
23.3489 | − | 99.9225i | 0.762370 | − | 3.26258i | |||||
− | 17.7165i | − | 0.578157i | |||||||
70.9060 | + | 40.9376i | 2.31270 | + | 1.33524i | |||||
−11.2642 | − | 19.5102i | −0.367203 | − | 0.636014i | 0.621924 | − | 0.783078i | ||
−0.989127 | + | 0.147063i | ||||||||
−18.3606 | + | 10.6005i | −0.598221 | + | 0.345383i | |||||
7.95169 | + | 1.33315i | 0.258943 | + | 0.0434132i | |||||
− | 54.7167i | − | 1.78088i | |||||||
23.8050 | + | 22.3172i | 0.774377 | + | 0.725978i | |||||
99.1736 | 3.22441 | |||||||||
10.6083 | − | 18.3742i | 0.344724 | − | 0.597080i | −0.640579 | − | 0.767892i | ||
0.985304 | + | 0.170812i | ||||||||
−10.1662 | − | 17.6084i | −0.330182 | − | 0.571893i | |||||
3.84525 | + | 6.66017i | 0.124822 | + | 0.216198i | |||||
−8.52929 | + | 14.7732i | −0.276727 | + | 0.479305i | |||||
− | 11.1549i | − | 0.361722i | |||||||
−15.8050 | − | 52.1919i | −0.512244 | − | 1.69155i | |||||
37.6405i | 1.21930i | 0.792673 | + | 0.609648i | ||||||
−0.792673 | + | 0.609648i | ||||||||
27.4726 | + | 15.8613i | 0.889459 | + | 0.513529i | |||||
−21.5928 | + | 12.4666i | −0.698727 | + | 0.403410i | |||||
22.8529 | + | 39.5824i | 0.739116 | + | 1.28019i | |||||
5.87756 | − | 10.1802i | 0.189995 | − | 0.329080i | |||||
−49.4396 | −1.59732 | |||||||||
26.3524 | − | 7.98018i | 0.850964 | − | 0.257694i | |||||
17.1130i | 0.552319i | |||||||||
0.201184 | − | 0.348460i | 0.00648979 | − | 0.0112407i | |||||
2.02444 | + | 3.50643i | 0.0652705 | + | 0.113052i | |||||
31.1736 | − | 17.9981i | 1.00455 | − | 0.579980i | |||||
−13.5887 | + | 23.5364i | −0.437664 | + | 0.758056i | |||||
33.7166 | 1.08538 | |||||||||
28.4848 | + | 11.8978i | 0.916482 | + | 0.382805i | |||||
−22.5027 | −0.723636 | −0.361818 | − | 0.932249i | ||||||
−0.361818 | + | 0.932249i | ||||||||
23.6551 | − | 40.9718i | 0.760303 | − | 1.31688i | |||||
20.0375 | − | 11.5686i | 0.643697 | − | 0.371638i | |||||
−8.34069 | − | 14.4465i | −0.267803 | − | 0.463849i | |||||
23.5861 | − | 40.8523i | 0.756913 | − | 1.31101i | −0.187505 | − | 0.982264i | ||
0.944418 | − | 0.328748i | ||||||||
65.4962i | 2.10079i | |||||||||
3.74408 | − | 16.0229i | 0.120030 | − | 0.513671i | |||||
−66.6948 | −2.13704 | |||||||||
1.23271 | − | 2.13512i | 0.0394784 | − | 0.0683787i | |||||
13.1890 | + | 22.8440i | 0.422170 | + | 0.731220i | |||||
−2.11262 | + | 1.21972i | −0.0675885 | + | 0.0390223i | −0.533413 | − | 0.845855i | ||
0.465825 | + | 0.884877i | ||||||||
−12.7681 | − | 7.37167i | −0.408279 | − | 0.235720i | |||||
− | 35.7710i | − | 1.14325i | |||||||
−63.6872 | − | 31.4827i | −2.03441 | − | 1.00568i | |||||
13.1808i | 0.420832i | |||||||||
−13.0665 | + | 22.6318i | −0.416968 | + | 0.722210i | |||||
12.4449 | + | 21.5553i | 0.396932 | + | 0.687506i | 0.993346 | − | 0.115171i | ||
−0.596414 | + | 0.802677i | ||||||||
4.25578 | + | 7.37123i | 0.135669 | + | 0.234986i | |||||
29.9240 | − | 51.8299i | 0.953459 | − | 1.65144i | |||||
26.2449 | 0.835809 | |||||||||
−20.5050 | − | 4.79142i | −0.652683 | − | 0.152513i | |||||
50.2629i | 1.59908i | |||||||||
−42.3030 | − | 7.09234i | −1.34516 | − | 0.225523i | |||||
−48.3996 | + | 27.9435i | −1.53824 | + | 0.888104i | |||||
12.1383 | + | 21.0241i | 0.385585 | + | 0.667853i | 0.991850 | − | 0.127410i | ||
−0.606265 | + | 0.795263i | ||||||||
3.95654 | + | 2.28431i | 0.125620 | + | 0.0725269i | |||||
− | 35.2095i | − | 1.11734i | |||||||
−23.8082 | + | 25.3955i | −0.755152 | + | 0.805496i | |||||
60.0045 | 1.90227 | |||||||||
2.96874 | + | 1.71400i | 0.0940680 | + | 0.0543102i | |||||
2.87855 | − | 1.66193i | 0.0911647 | − | 0.0526340i | −0.453725 | − | 0.891142i | ||
0.544889 | + | 0.838508i | ||||||||
−34.1568 | − | 59.1612i | −1.08121 | − | 1.87272i | |||||
1.93012 | − | 3.34307i | 0.0610664 | − | 0.105770i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 161.2.g.a.68.2 | yes | 28 | |
7.2 | even | 3 | 1127.2.c.c.1126.27 | 28 | |||
7.3 | odd | 6 | inner | 161.2.g.a.45.1 | ✓ | 28 | |
7.5 | odd | 6 | 1127.2.c.c.1126.28 | 28 | |||
23.22 | odd | 2 | inner | 161.2.g.a.68.1 | yes | 28 | |
161.45 | even | 6 | inner | 161.2.g.a.45.2 | yes | 28 | |
161.68 | even | 6 | 1127.2.c.c.1126.26 | 28 | |||
161.114 | odd | 6 | 1127.2.c.c.1126.25 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
161.2.g.a.45.1 | ✓ | 28 | 7.3 | odd | 6 | inner | |
161.2.g.a.45.2 | yes | 28 | 161.45 | even | 6 | inner | |
161.2.g.a.68.1 | yes | 28 | 23.22 | odd | 2 | inner | |
161.2.g.a.68.2 | yes | 28 | 1.1 | even | 1 | trivial | |
1127.2.c.c.1126.25 | 28 | 161.114 | odd | 6 | |||
1127.2.c.c.1126.26 | 28 | 161.68 | even | 6 | |||
1127.2.c.c.1126.27 | 28 | 7.2 | even | 3 | |||
1127.2.c.c.1126.28 | 28 | 7.5 | odd | 6 |