Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [702,2,Mod(305,702)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(702, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("702.305");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 702.bc (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | no (minimal twist has level 234) |
Sato-Tate group: |
Embedding invariants
Embedding label | 305.10 | ||
Character | 702.305 | ||
Dual form | 702.2.bc.a.557.10 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.258819 | − | 0.965926i | 0.183013 | − | 0.683013i | |||||
0 | 0 | |||||||||
−0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | |||||
−0.361873 | + | 1.35053i | −0.161835 | + | 0.603975i | 0.836588 | + | 0.547833i | ||
−0.998423 | + | 0.0561429i | ||||||||
0 | 0 | |||||||||
−0.715284 | − | 0.715284i | −0.270352 | − | 0.270352i | 0.558890 | − | 0.829242i | ||
−0.829242 | + | 0.558890i | ||||||||
−0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | |||||
0 | 0 | |||||||||
1.21085 | + | 0.699086i | 0.382905 | + | 0.221070i | |||||
−5.61718 | − | 1.50512i | −1.69364 | − | 0.453810i | −0.722317 | − | 0.691562i | ||
−0.971326 | + | 0.237752i | ||||||||
0 | 0 | |||||||||
−0.218517 | + | 3.59892i | −0.0606058 | + | 0.998162i | |||||
−0.876041 | + | 0.505782i | −0.234132 | + | 0.135176i | |||||
0 | 0 | |||||||||
0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | |||||
1.67305 | + | 2.89781i | 0.405775 | + | 0.702823i | 0.994411 | − | 0.105575i | ||
−0.588636 | + | 0.808398i | ||||||||
0 | 0 | |||||||||
−7.07605 | − | 1.89602i | −1.62336 | − | 0.434977i | −0.671372 | − | 0.741120i | ||
−0.951986 | + | 0.306143i | ||||||||
0.988657 | − | 0.988657i | 0.221070 | − | 0.221070i | |||||
0 | 0 | |||||||||
−2.90767 | + | 5.03622i | −0.619916 | + | 1.07373i | |||||
−0.580436 | −0.121029 | −0.0605146 | − | 0.998167i | ||||||
−0.0605146 | + | 0.998167i | ||||||||
0 | 0 | |||||||||
2.63715 | + | 1.52256i | 0.527430 | + | 0.304512i | |||||
3.41974 | + | 1.14254i | 0.670666 | + | 0.224071i | |||||
0 | 0 | |||||||||
0.261812 | + | 0.977097i | 0.0494779 | + | 0.184654i | |||||
0.892249 | − | 0.515140i | 0.165687 | − | 0.0956592i | −0.414864 | − | 0.909884i | ||
0.580550 | + | 0.814224i | ||||||||
0 | 0 | |||||||||
−8.52714 | − | 2.28484i | −1.53152 | − | 0.410369i | −0.608005 | − | 0.793933i | ||
−0.923514 | + | 0.383564i | ||||||||
0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | |||||
0 | 0 | |||||||||
3.23209 | − | 0.866036i | 0.554299 | − | 0.148524i | |||||
1.22486 | − | 0.707171i | 0.207038 | − | 0.119534i | |||||
0 | 0 | |||||||||
−7.82443 | + | 2.09655i | −1.28633 | + | 0.344671i | −0.836265 | − | 0.548326i | ||
−0.450064 | + | 0.892996i | ||||||||
−3.66283 | + | 6.34422i | −0.594190 | + | 1.02917i | |||||
0 | 0 | |||||||||
−0.699086 | − | 1.21085i | −0.110535 | − | 0.191453i | |||||
−1.15731 | − | 1.15731i | −0.180742 | − | 0.180742i | 0.610937 | − | 0.791679i | ||
−0.791679 | + | 0.610937i | ||||||||
0 | 0 | |||||||||
8.38054i | 1.27802i | 0.769198 | + | 0.639010i | ||||||
−0.769198 | + | 0.639010i | ||||||||
4.11206 | + | 4.11206i | 0.619916 | + | 0.619916i | |||||
0 | 0 | |||||||||
−0.150228 | + | 0.560658i | −0.0221499 | + | 0.0826645i | |||||
0.388741 | + | 1.45080i | 0.0567037 | + | 0.211621i | 0.988465 | − | 0.151451i | ||
−0.931761 | + | 0.363072i | ||||||||
0 | 0 | |||||||||
− | 5.97674i | − | 0.853820i | |||||||
2.15322 | − | 2.15322i | 0.304512 | − | 0.304512i | |||||
0 | 0 | |||||||||
1.98870 | − | 3.00750i | 0.275784 | − | 0.417065i | |||||
2.77082i | 0.380601i | 0.981726 | + | 0.190300i | ||||||
−0.981726 | + | 0.190300i | ||||||||
0 | 0 | |||||||||
4.06542 | − | 7.04151i | 0.548180 | − | 0.949476i | |||||
1.01156 | 0.135176 | |||||||||
0 | 0 | |||||||||
−0.266656 | − | 0.995175i | −0.0350137 | − | 0.130673i | |||||
3.10182 | + | 11.5761i | 0.403822 | + | 1.50708i | 0.806218 | + | 0.591619i | ||
−0.402395 | + | 0.915466i | ||||||||
0 | 0 | |||||||||
2.82816 | 0.362108 | 0.181054 | − | 0.983473i | ||||||
0.181054 | + | 0.983473i | ||||||||
−4.41397 | + | 7.64523i | −0.560575 | + | 0.970945i | |||||
0 | 0 | |||||||||
− | 1.00000i | − | 0.125000i | |||||||
−4.78138 | − | 1.59747i | −0.593057 | − | 0.198142i | |||||
0 | 0 | |||||||||
−0.802042 | + | 0.802042i | −0.0979851 | + | 0.0979851i | −0.754400 | − | 0.656415i | ||
0.656415 | + | 0.754400i | ||||||||
− | 3.34611i | − | 0.405775i | |||||||
0 | 0 | |||||||||
−0.366058 | − | 1.36615i | −0.0437524 | − | 0.163286i | |||||
2.71495 | − | 10.1323i | 0.322205 | − | 1.20249i | −0.594886 | − | 0.803810i | ||
0.917091 | − | 0.398677i | ||||||||
0 | 0 | |||||||||
0.788181 | + | 0.788181i | 0.0922496 | + | 0.0922496i | 0.751726 | − | 0.659476i | ||
−0.659476 | + | 0.751726i | ||||||||
8.10045i | 0.941658i | |||||||||
0 | 0 | |||||||||
5.18003 | + | 5.18003i | 0.594190 | + | 0.594190i | |||||
2.94129 | + | 5.09447i | 0.335191 | + | 0.580568i | |||||
0 | 0 | |||||||||
−0.827245 | + | 1.43283i | −0.0930723 | + | 0.161206i | −0.908802 | − | 0.417227i | ||
0.815730 | + | 0.578433i | ||||||||
−1.35053 | + | 0.361873i | −0.150994 | + | 0.0404587i | |||||
0 | 0 | |||||||||
−1.41741 | + | 0.818343i | −0.156527 | + | 0.0903709i | |||||
15.7224 | − | 4.21280i | 1.72576 | − | 0.462415i | 0.746557 | − | 0.665321i | ||
0.979198 | + | 0.202906i | ||||||||
0 | 0 | |||||||||
−4.51902 | + | 1.21087i | −0.490156 | + | 0.131337i | |||||
8.09498 | + | 2.16904i | 0.872904 | + | 0.233894i | |||||
0 | 0 | |||||||||
5.03622 | − | 2.90767i | 0.536863 | − | 0.309958i | |||||
−0.783797 | − | 2.92517i | −0.0830824 | − | 0.310068i | 0.911862 | − | 0.410497i | ||
−0.994944 | + | 0.100430i | ||||||||
0 | 0 | |||||||||
2.73056 | − | 2.41795i | 0.286240 | − | 0.253470i | |||||
0.502672 | + | 0.290218i | 0.0524072 | + | 0.0302573i | |||||
0 | 0 | |||||||||
1.50198 | 0.154917 | |||||||||
5.12127 | − | 8.87030i | 0.525431 | − | 0.910074i | |||||
0 | 0 | |||||||||
8.70487 | − | 8.70487i | 0.883846 | − | 0.883846i | −0.110077 | − | 0.993923i | ||
0.993923 | + | 0.110077i | ||||||||
−5.77308 | − | 1.54689i | −0.583170 | − | 0.156260i | |||||
0 | 0 | |||||||||
−1.52256 | − | 2.63715i | −0.152256 | − | 0.263715i | |||||
−5.09573 | − | 8.82607i | −0.507044 | − | 0.878227i | −0.999967 | − | 0.00815327i | ||
0.492922 | − | 0.870073i | ||||||||
0 | 0 | |||||||||
−8.54265 | + | 4.93210i | −0.841732 | + | 0.485974i | −0.857853 | − | 0.513896i | ||
0.0161205 | + | 0.999870i | ||||||||
−2.39031 | − | 2.69934i | −0.234389 | − | 0.264692i | |||||
0 | 0 | |||||||||
2.67640 | + | 0.717140i | 0.259955 | + | 0.0696548i | |||||
−8.58323 | − | 4.95553i | −0.829773 | − | 0.479069i | 0.0240022 | − | 0.999712i | ||
−0.853775 | + | 0.520642i | ||||||||
0 | 0 | |||||||||
6.99609 | − | 6.99609i | 0.670103 | − | 0.670103i | −0.287636 | − | 0.957740i | ||
0.957740 | + | 0.287636i | ||||||||
−5.74937 | − | 5.74937i | −0.548180 | − | 0.548180i | |||||
0 | 0 | |||||||||
0.261812 | − | 0.977097i | 0.0247389 | − | 0.0923269i | |||||
−8.78784 | − | 5.07366i | −0.826691 | − | 0.477290i | 0.0260276 | − | 0.999661i | ||
−0.852718 | + | 0.522371i | ||||||||
0 | 0 | |||||||||
0.210044 | − | 0.783896i | 0.0195867 | − | 0.0730987i | |||||
−1.03028 | −0.0956592 | |||||||||
0 | 0 | |||||||||
11.9845 | 1.10326 | |||||||||
0.876052 | − | 3.26947i | 0.0803075 | − | 0.299712i | |||||
0 | 0 | |||||||||
19.7610 | + | 11.4090i | 1.79646 | + | 1.03718i | |||||
0.731981 | − | 2.73179i | 0.0662704 | − | 0.247325i | |||||
0 | 0 | |||||||||
6.24230 | + | 6.24230i | 0.560575 | + | 0.560575i | |||||
−7.95386 | + | 7.95386i | −0.711415 | + | 0.711415i | |||||
0 | 0 | |||||||||
−13.1106 | − | 7.56941i | −1.16338 | − | 0.671677i | −0.211267 | − | 0.977428i | ||
−0.952111 | + | 0.305752i | ||||||||
−0.965926 | − | 0.258819i | −0.0853766 | − | 0.0228766i | |||||
0 | 0 | |||||||||
−2.78055 | + | 4.20500i | −0.243870 | + | 0.368803i | |||||
−3.29059 | + | 1.89982i | −0.287500 | + | 0.165988i | −0.636814 | − | 0.771018i | ||
0.349314 | + | 0.937006i | ||||||||
0 | 0 | |||||||||
3.70519 | + | 6.41758i | 0.321281 | + | 0.556475i | |||||
0.567130 | + | 0.982297i | 0.0489925 | + | 0.0848576i | |||||
0 | 0 | |||||||||
−3.23209 | − | 0.866036i | −0.277149 | − | 0.0742620i | |||||
−4.11536 | + | 4.11536i | −0.351599 | + | 0.351599i | −0.860704 | − | 0.509105i | ||
0.509105 | + | 0.860704i | ||||||||
0 | 0 | |||||||||
−1.13838 | + | 1.97173i | −0.0965559 | + | 0.167240i | −0.910257 | − | 0.414044i | ||
0.813701 | + | 0.581284i | ||||||||
−1.41434 | −0.119534 | |||||||||
0 | 0 | |||||||||
−9.08440 | − | 5.24488i | −0.762346 | − | 0.440141i | |||||
6.64426 | − | 19.8869i | 0.555621 | − | 1.66303i | |||||
0 | 0 | |||||||||
0.372831 | + | 1.39143i | 0.0309620 | + | 0.115552i | |||||
0.965320 | − | 0.557328i | 0.0798905 | − | 0.0461248i | |||||
0 | 0 | |||||||||
7.82443 | + | 2.09655i | 0.643164 | + | 0.172335i | |||||
−13.8851 | + | 3.72050i | −1.13751 | + | 0.304795i | −0.777949 | − | 0.628327i | ||
−0.359561 | + | 0.933122i | ||||||||
0 | 0 | |||||||||
−2.72013 | + | 0.728858i | −0.221361 | + | 0.0593136i | −0.367795 | − | 0.929907i | ||
0.146434 | + | 0.989220i | ||||||||
6.34422 | − | 3.66283i | 0.514584 | − | 0.297095i | |||||
0 | 0 | |||||||||
5.68214 | − | 1.52252i | 0.457880 | − | 0.122689i | |||||
6.17149 | − | 10.6893i | 0.495706 | − | 0.858588i | |||||
0 | 0 | |||||||||
3.93908 | + | 6.82268i | 0.314372 | + | 0.544509i | 0.979304 | − | 0.202395i | ||
−0.664931 | + | 0.746904i | ||||||||
1.16990 | + | 1.16990i | 0.0930723 | + | 0.0930723i | |||||
0 | 0 | |||||||||
1.39817i | 0.110535i | |||||||||
0.415177 | + | 0.415177i | 0.0327205 | + | 0.0327205i | |||||
0 | 0 | |||||||||
−1.79021 | + | 6.68116i | −0.140220 | + | 0.523309i | 0.859701 | + | 0.510797i | ||
−0.999922 | + | 0.0125123i | ||||||||
0.423606 | + | 1.58092i | 0.0330780 | + | 0.123449i | |||||
0 | 0 | |||||||||
− | 16.2770i | − | 1.26334i | |||||||
11.2080 | − | 11.2080i | 0.867298 | − | 0.867298i | −0.124874 | − | 0.992173i | ||
0.992173 | + | 0.124874i | ||||||||
0 | 0 | |||||||||
−12.9045 | − | 1.57285i | −0.992654 | − | 0.120989i | |||||
4.67843i | 0.358819i | |||||||||
0 | 0 | |||||||||
4.19027 | − | 7.25776i | 0.319505 | − | 0.553399i | |||||
2.60453 | 0.198018 | 0.0990092 | − | 0.995087i | ||||||
0.0990092 | + | 0.995087i | ||||||||
0 | 0 | |||||||||
−0.797249 | − | 2.97537i | −0.0602663 | − | 0.224917i | |||||
−1.50512 | − | 5.61718i | −0.113453 | − | 0.423411i | |||||
0 | 0 | |||||||||
−3.02836 | −0.226985 | |||||||||
−1.79612 | + | 3.11097i | −0.134248 | + | 0.232525i | −0.925310 | − | 0.379211i | ||
0.791062 | + | 0.611736i | ||||||||
0 | 0 | |||||||||
− | 16.3443i | − | 1.21486i | −0.794373 | − | 0.607430i | ||||
0.794373 | − | 0.607430i | ||||||||
−1.62884 | − | 3.26333i | −0.120738 | − | 0.241894i | |||||
0 | 0 | |||||||||
0.410430 | − | 0.410430i | 0.0302573 | − | 0.0302573i | |||||
− | 11.3258i | − | 0.832691i | |||||||
0 | 0 | |||||||||
−5.03629 | − | 18.7957i | −0.368290 | − | 1.37448i | |||||
0.388741 | − | 1.45080i | 0.0283519 | − | 0.105811i | |||||
0 | 0 | |||||||||
−7.24257 | − | 7.24257i | −0.525431 | − | 0.525431i | |||||
25.4377i | 1.84061i | 0.391202 | + | 0.920305i | ||||||
−0.391202 | + | 0.920305i | ||||||||
0 | 0 | |||||||||
8.92082 | + | 8.92082i | 0.642134 | + | 0.642134i | 0.951080 | − | 0.308945i | ||
−0.308945 | + | 0.951080i | ||||||||
−6.15527 | − | 10.6612i | −0.441923 | − | 0.765433i | |||||
0 | 0 | |||||||||
−2.98837 | + | 5.17601i | −0.213455 | + | 0.369715i | |||||
−0.680083 | + | 0.182228i | −0.0484539 | + | 0.0129832i | −0.282965 | − | 0.959130i | ||
0.234511 | + | 0.972114i | ||||||||
0 | 0 | |||||||||
8.58639 | − | 4.95735i | 0.608673 | − | 0.351418i | −0.163773 | − | 0.986498i | ||
0.772446 | + | 0.635081i | ||||||||
−2.94136 | + | 0.788134i | −0.207985 | + | 0.0557295i | |||||
0 | 0 | |||||||||
−9.84420 | + | 2.63775i | −0.692635 | + | 0.185591i | |||||
−1.00668 | − | 0.269740i | −0.0706553 | − | 0.0189320i | |||||
0 | 0 | |||||||||
1.98179 | − | 1.14418i | 0.138414 | − | 0.0799133i | |||||
2.55304 | + | 9.52809i | 0.177879 | + | 0.663853i | |||||
0 | 0 | |||||||||
−3.22602 | + | 1.61022i | −0.223684 | + | 0.111649i | |||||
36.8937 | + | 21.3006i | 2.55199 | + | 1.47339i | |||||
0 | 0 | |||||||||
−6.02887 | −0.415045 | −0.207522 | − | 0.978230i | ||||||
−0.207522 | + | 0.978230i | ||||||||
1.38541 | − | 2.39960i | 0.0951502 | − | 0.164805i | |||||
0 | 0 | |||||||||
−7.00818 | + | 7.00818i | −0.479069 | + | 0.479069i | |||||
−11.3182 | − | 3.03269i | −0.771893 | − | 0.206828i | |||||
0 | 0 | |||||||||
4.46502 | + | 7.73364i | 0.303105 | + | 0.524994i | |||||
−4.94698 | − | 8.56842i | −0.335052 | − | 0.580327i | |||||
0 | 0 | |||||||||
−7.04151 | + | 4.06542i | −0.474738 | + | 0.274090i | |||||
−10.7946 | + | 5.38797i | −0.726123 | + | 0.362434i | |||||
0 | 0 | |||||||||
28.1618 | + | 7.54594i | 1.88586 | + | 0.505313i | 0.999069 | + | 0.0431328i | ||
0.886786 | + | 0.462181i | ||||||||
−0.876041 | − | 0.505782i | −0.0585329 | − | 0.0337940i | |||||
0 | 0 | |||||||||
−7.17524 | + | 7.17524i | −0.477290 | + | 0.477290i | |||||
−10.2562 | − | 10.2562i | −0.680729 | − | 0.680729i | 0.279435 | − | 0.960165i | ||
−0.960165 | + | 0.279435i | ||||||||
0 | 0 | |||||||||
−2.55392 | + | 9.53135i | −0.168768 | + | 0.629849i | 0.828762 | + | 0.559601i | ||
−0.997530 | + | 0.0702479i | ||||||||
−0.702822 | − | 0.405774i | −0.0463427 | − | 0.0267560i | |||||
0 | 0 | |||||||||
−0.266656 | + | 0.995175i | −0.0175068 | + | 0.0653364i | |||||
2.06808 | 0.135484 | 0.0677421 | − | 0.997703i | ||||||
0.0677421 | + | 0.997703i | ||||||||
0 | 0 | |||||||||
−2.10003 | −0.136991 | |||||||||
3.10182 | − | 11.5761i | 0.201911 | − | 0.753542i | |||||
0 | 0 | |||||||||
−2.93133 | − | 1.69240i | −0.190010 | − | 0.109702i | |||||
−5.10931 | + | 19.0682i | −0.330494 | + | 1.23342i | 0.578179 | + | 0.815910i | ||
−0.908672 | + | 0.417510i | ||||||||
0 | 0 | |||||||||
−7.17107 | − | 7.17107i | −0.461929 | − | 0.461929i | 0.437358 | − | 0.899287i | ||
−0.899287 | + | 0.437358i | ||||||||
16.1348 | − | 16.1348i | 1.03718 | − | 1.03718i | |||||
0 | 0 | |||||||||
−2.44926 | − | 1.41408i | −0.156797 | − | 0.0905271i | |||||
8.07176 | + | 2.16282i | 0.515686 | + | 0.138178i | |||||
0 | 0 | |||||||||
8.36988 | − | 25.0519i | 0.532563 | − | 1.59401i | |||||
7.64523 | − | 4.41397i | 0.485472 | − | 0.280288i | |||||
0 | 0 | |||||||||
5.62423 | + | 9.74145i | 0.355707 | + | 0.616103i | |||||
−4.78920 | − | 8.29514i | −0.302292 | − | 0.523585i | 0.674363 | − | 0.738400i | ||
−0.976655 | + | 0.214815i | ||||||||
0 | 0 | |||||||||
3.26041 | + | 0.873624i | 0.204980 | + | 0.0549243i | |||||
−10.7048 | + | 10.7048i | −0.671677 | + | 0.671677i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | |||||
5.77509 | 0.360240 | 0.180120 | − | 0.983645i | ||||||
0.180120 | + | 0.983645i | ||||||||
0 | 0 | |||||||||
7.09632 | + | 4.09706i | 0.440944 | + | 0.254579i | |||||
3.34206 | + | 3.77414i | 0.207266 | + | 0.234062i | |||||
0 | 0 | |||||||||
0.983420 | + | 3.67017i | 0.0607559 | + | 0.226744i | |||||
3.86009 | − | 2.22862i | 0.238023 | − | 0.137423i | −0.376245 | − | 0.926520i | ||
0.614268 | + | 0.789098i | ||||||||
0 | 0 | |||||||||
−3.74207 | − | 1.00269i | −0.229874 | − | 0.0615945i | |||||
7.15789 | − | 1.91795i | 0.438878 | − | 0.117597i | |||||
0 | 0 | |||||||||
1.09561 | − | 0.293568i | 0.0669250 | − | 0.0179325i | |||||
−11.4786 | + | 6.62715i | −0.699860 | + | 0.404064i | −0.807295 | − | 0.590148i | ||
0.107435 | + | 0.994212i | ||||||||
0 | 0 | |||||||||
−5.62562 | + | 1.50738i | −0.341732 | + | 0.0915668i | −0.425604 | − | 0.904910i | ||
0.0838714 | + | 0.996477i | ||||||||
−1.67305 | + | 2.89781i | −0.101444 | + | 0.175706i | |||||
0 | 0 | |||||||||
2.91000 | + | 5.04027i | 0.175799 | + | 0.304494i | |||||
−12.5217 | − | 12.5217i | −0.755087 | − | 0.755087i | |||||
0 | 0 | |||||||||
19.4395i | 1.16800i | 0.811752 | + | 0.584002i | ||||||
−0.811752 | + | 0.584002i | ||||||||
1.60991 | + | 1.60991i | 0.0965559 | + | 0.0965559i | |||||
0 | 0 | |||||||||
−0.366058 | + | 1.36615i | −0.0218762 | + | 0.0816430i | |||||
0.376063 | + | 1.40349i | 0.0224340 | + | 0.0837250i | 0.976235 | − | 0.216713i | ||
−0.953801 | + | 0.300438i | ||||||||
0 | 0 | |||||||||
− | 20.7333i | − | 1.23247i | −0.787564 | − | 0.616233i | ||||
0.787564 | − | 0.616233i | ||||||||
−7.41738 | + | 7.41738i | −0.440141 | + | 0.440141i | |||||
0 | 0 | |||||||||
−17.4896 | − | 11.5650i | −1.03418 | − | 0.683851i | |||||
1.65561i | 0.0977278i | |||||||||
0 | 0 | |||||||||
2.90179 | − | 5.02604i | 0.170693 | − | 0.295649i | |||||
1.44051 | 0.0845896 | |||||||||
0 | 0 | |||||||||
−0.288494 | − | 1.07667i | −0.0168828 | − | 0.0630076i | |||||
6.14475 | + | 22.9325i | 0.358980 | + | 1.33973i | 0.875401 | + | 0.483398i | ||
−0.516420 | + | 0.856335i | ||||||||
0 | 0 | |||||||||
−16.7564 | −0.975595 | |||||||||
4.05022 | − | 7.01519i | 0.235414 | − | 0.407750i | |||||
0 | 0 | |||||||||
14.3749i | 0.832715i | |||||||||
0.126835 | − | 2.08894i | 0.00733508 | − | 0.120807i | |||||
0 | 0 | |||||||||
5.99447 | − | 5.99447i | 0.345515 | − | 0.345515i | |||||
2.81609i | 0.162048i | |||||||||
0 | 0 | |||||||||
−1.89602 | − | 7.07605i | −0.108744 | − | 0.405839i | |||||
−1.02343 | + | 3.81951i | −0.0586017 | + | 0.218705i | |||||
0 | 0 | |||||||||
14.7696 | + | 14.7696i | 0.842947 | + | 0.842947i | 0.989241 | − | 0.146294i | ||
−0.146294 | + | 0.989241i | ||||||||
− | 5.88258i | − | 0.335191i | |||||||
0 | 0 | |||||||||
−8.72781 | − | 8.72781i | −0.495706 | − | 0.495706i | |||||
14.0548 | + | 24.3437i | 0.796976 | + | 1.38040i | 0.921577 | + | 0.388195i | ||
−0.124602 | + | 0.992207i | ||||||||
0 | 0 | |||||||||
8.76521 | − | 15.1818i | 0.495439 | − | 0.858125i | −0.504547 | − | 0.863384i | ||
0.999986 | + | 0.00525876i | ||||||||
7.60971 | − | 2.03902i | 0.429441 | − | 0.115068i | |||||
0 | 0 | |||||||||
1.43283 | − | 0.827245i | 0.0806030 | − | 0.0465362i | |||||
−21.3692 | + | 5.72585i | −1.20021 | + | 0.321596i | −0.802915 | − | 0.596094i | ||
−0.397298 | + | 0.917690i | ||||||||
0 | 0 | |||||||||
−5.78727 | + | 1.55069i | −0.324025 | + | 0.0868222i | |||||
1.35053 | + | 0.361873i | 0.0754969 | + | 0.0202293i | |||||
0 | 0 | |||||||||
0.508485 | − | 0.293574i | 0.0283368 | − | 0.0163603i | |||||
−6.34429 | − | 23.6772i | −0.353006 | − | 1.31744i | |||||
0 | 0 | |||||||||
−6.05583 | + | 9.15819i | −0.335917 | + | 0.508005i | |||||
5.99017 | + | 3.45843i | 0.331765 | + | 0.191544i | |||||
0 | 0 | |||||||||
1.63669 | 0.0903709 | |||||||||
0.759675 | − | 1.31580i | 0.0418822 | − | 0.0725422i | |||||
0 | 0 | |||||||||
16.0059 | − | 16.0059i | 0.879762 | − | 0.879762i | −0.113748 | − | 0.993510i | ||
0.993510 | + | 0.113748i | ||||||||
−15.7224 | − | 4.21280i | −0.862878 | − | 0.231207i | |||||
0 | 0 | |||||||||
−7.92523 | − | 13.7269i | −0.433649 | − | 0.751102i | |||||
−0.792945 | − | 1.37342i | −0.0433232 | − | 0.0750380i | |||||
0 | 0 | |||||||||
−26.9968 | + | 15.5866i | −1.47061 | + | 0.849058i | −0.999456 | − | 0.0329922i | ||
−0.471156 | + | 0.882050i | ||||||||
−4.85919 | + | 12.0577i | −0.264305 | + | 0.655853i | |||||
0 | 0 | |||||||||
4.51902 | + | 1.21087i | 0.245078 | + | 0.0656685i | |||||
44.4595 | + | 25.6687i | 2.40762 | + | 1.39004i | |||||
0 | 0 | |||||||||
−9.28206 | + | 9.28206i | −0.501184 | + | 0.501184i | |||||
−5.92594 | − | 5.92594i | −0.319505 | − | 0.319505i | |||||
0 | 0 | |||||||||
0.674101 | − | 2.51578i | 0.0362399 | − | 0.135249i | |||||
17.6308 | + | 10.1791i | 0.946468 | + | 0.546444i | 0.891982 | − | 0.452071i | ||
0.0544863 | + | 0.998515i | ||||||||
0 | 0 | |||||||||
−7.61062 | + | 28.4032i | −0.407387 | + | 1.52039i | 0.392224 | + | 0.919870i | ||
−0.799611 | + | 0.600519i | ||||||||
−3.08033 | −0.164651 | |||||||||
0 | 0 | |||||||||
−5.81533 | −0.309958 | |||||||||
2.96995 | − | 11.0840i | 0.158075 | − | 0.589943i | −0.840748 | − | 0.541427i | ||
0.998822 | − | 0.0485157i | ||||||||
0 | 0 | |||||||||
12.7016 | + | 7.33325i | 0.674129 | + | 0.389208i | |||||
−0.783797 | + | 2.92517i | −0.0415412 | + | 0.155034i | |||||
0 | 0 | |||||||||
2.54010 | + | 2.54010i | 0.134248 | + | 0.134248i | |||||
−25.9734 | + | 25.9734i | −1.37083 | + | 1.37083i | −0.511605 | + | 0.859221i | ||
−0.859221 | + | 0.511605i | ||||||||
0 | 0 | |||||||||
30.0211 | + | 17.3327i | 1.58006 | + | 0.912248i | |||||
−15.7873 | − | 4.23021i | −0.829765 | − | 0.222335i | |||||
0 | 0 | |||||||||
−3.57371 | + | 0.728730i | −0.187313 | + | 0.0381958i | |||||
−1.34968 | + | 0.779240i | −0.0706457 | + | 0.0407873i | |||||
0 | 0 | |||||||||
2.78625 | + | 4.82592i | 0.145441 | + | 0.251911i | 0.929537 | − | 0.368728i | ||
−0.784096 | + | 0.620639i | ||||||||
−0.290218 | − | 0.502672i | −0.0151287 | − | 0.0262036i | |||||
0 | 0 | |||||||||
−10.9399 | − | 2.93134i | −0.568738 | − | 0.152393i | |||||
1.98192 | − | 1.98192i | 0.102896 | − | 0.102896i | |||||
0 | 0 | |||||||||
−1.43922 | + | 2.49280i | −0.0745200 | + | 0.129072i | −0.900877 | − | 0.434074i | ||
0.826357 | + | 0.563146i | ||||||||
−19.4587 | −1.00619 | |||||||||
0 | 0 | |||||||||
−1.30075 | − | 0.750990i | −0.0670812 | − | 0.0387294i | |||||
1.65898 | + | 3.32370i | 0.0854418 | + | 0.171179i | |||||
0 | 0 | |||||||||
5.51954 | + | 20.5992i | 0.283520 | + | 1.05811i | 0.949914 | + | 0.312511i | ||
−0.666394 | + | 0.745600i | ||||||||
−8.87030 | + | 5.12127i | −0.455037 | + | 0.262716i | |||||
0 | 0 | |||||||||
24.5710 | + | 6.58377i | 1.25716 | + | 0.336855i | |||||
−12.5372 | + | 3.35934i | −0.640623 | + | 0.171654i | −0.564486 | − | 0.825443i | ||
−0.0761376 | + | 0.997097i | ||||||||
0 | 0 | |||||||||
−7.94461 | + | 2.12875i | −0.404895 | + | 0.108491i | |||||
10.9257 | − | 6.30797i | 0.556105 | − | 0.321067i | |||||
0 | 0 | |||||||||
−11.8911 | + | 3.18620i | −0.603678 | + | 0.161755i | |||||
−15.6511 | + | 27.1085i | −0.793543 | + | 1.37446i | 0.130216 | + | 0.991486i | ||
−0.923760 | + | 0.382972i | ||||||||
0 | 0 | |||||||||
−0.971100 | − | 1.68199i | −0.0491106 | − | 0.0850621i | |||||
4.22619 | + | 4.22619i | 0.213455 | + | 0.213455i | |||||
0 | 0 | |||||||||
0.704074i | 0.0354707i | |||||||||
−1.63572 | − | 1.63572i | −0.0823021 | − | 0.0823021i | |||||
0 | 0 | |||||||||
0.644906 | − | 2.40682i | 0.0323669 | − | 0.120795i | −0.947852 | − | 0.318710i | ||
0.980219 | + | 0.197915i | ||||||||
−2.56612 | − | 9.57687i | −0.128628 | − | 0.480045i | |||||
0 | 0 | |||||||||
3.04512i | 0.152256i | |||||||||
−14.5050 | + | 14.5050i | −0.724345 | + | 0.724345i | −0.969487 | − | 0.245142i | ||
0.245142 | + | 0.969487i | ||||||||
0 | 0 | |||||||||
10.0863 | − | 30.1893i | 0.502434 | − | 1.50383i | |||||
10.1915i | 0.507044i | |||||||||
0 | 0 | |||||||||
−0.521098 | + | 0.902568i | −0.0258617 | + | 0.0447937i | |||||
47.1068 | 2.33500 | |||||||||
0 | 0 | |||||||||
−2.53544 | − | 9.46239i | −0.125369 | − | 0.467885i | 0.874483 | − | 0.485056i | ||
−0.999853 | + | 0.0171708i | ||||||||
−0.592273 | − | 2.21039i | −0.0292503 | − | 0.109164i | |||||
0 | 0 | |||||||||
9.86420 | 0.485974 | |||||||||
6.06155 | − | 10.4989i | 0.298269 | − | 0.516618i | |||||
0 | 0 | |||||||||
22.7581i | 1.11715i | |||||||||
0.720398 | + | 3.53285i | 0.0353204 | + | 0.173212i | |||||
0 | 0 | |||||||||
30.1236 | − | 30.1236i | 1.47339 | − | 1.47339i | |||||
1.73191i | 0.0846094i | 0.999105 | + | 0.0423047i | ||||||
−0.999105 | + | 0.0423047i | ||||||||
0 | 0 | |||||||||
0.920185 | + | 3.43418i | 0.0448471 | + | 0.167372i | 0.984717 | − | 0.174160i | ||
−0.939870 | + | 0.341532i | ||||||||
−1.56039 | + | 5.82344i | −0.0759584 | + | 0.283481i | |||||
0 | 0 | |||||||||
−1.95926 | − | 1.95926i | −0.0951502 | − | 0.0951502i | |||||
10.1893i | 0.494253i | |||||||||
0 | 0 | |||||||||
−2.02294 | − | 2.02294i | −0.0978967 | − | 0.0978967i | |||||
4.95553 | + | 8.58323i | 0.239535 | + | 0.414886i | |||||
0 | 0 | |||||||||
−5.85872 | + | 10.1476i | −0.282532 | + | 0.489360i | |||||
14.3219 | − | 3.83753i | 0.689860 | − | 0.184847i | 0.103176 | − | 0.994663i | ||
0.586684 | + | 0.809816i | ||||||||
0 | 0 | |||||||||
−9.94854 | + | 5.74379i | −0.478096 | + | 0.276029i | −0.719623 | − | 0.694365i | ||
0.241527 | + | 0.970394i | ||||||||
8.62576 | − | 2.31126i | 0.414050 | − | 0.110944i | |||||
0 | 0 | |||||||||
−9.55683 | + | 2.56075i | −0.457689 | + | 0.122637i | |||||
4.10719 | + | 1.10052i | 0.196474 | + | 0.0526450i | |||||
0 | 0 | |||||||||
−35.2492 | + | 20.3511i | −1.68235 | + | 0.971306i | −0.722259 | + | 0.691623i | ||
−0.960092 | + | 0.279683i | ||||||||
2.10441 | + | 7.85378i | 0.100324 | + | 0.374414i | |||||
0 | 0 | |||||||||
2.41053 | + | 11.8213i | 0.114657 | + | 0.562281i | |||||
−10.6734 | − | 6.16232i | −0.507111 | − | 0.292780i | 0.224535 | − | 0.974466i | ||
−0.731645 | + | 0.681686i | ||||||||
0 | 0 | |||||||||
4.23417 | 0.200719 | |||||||||
14.5776 | − | 25.2492i | 0.690271 | − | 1.19558i | |||||
0 | 0 | |||||||||
−0.715284 | + | 0.715284i | −0.0337940 | + | 0.0337940i | |||||
27.3580 | + | 7.33055i | 1.29110 | + | 0.345950i | 0.838080 | − | 0.545548i | ||
0.453024 | + | 0.891498i | ||||||||
0 | 0 | |||||||||
4.75894 | + | 8.24272i | 0.224090 | + | 0.388134i | |||||
5.07366 | + | 8.78784i | 0.238645 | + | 0.413345i | |||||
0 | 0 | |||||||||
−12.5613 | + | 7.25224i | −0.589529 | + | 0.340365i | |||||
2.27740 | + | 4.56269i | 0.106766 | + | 0.213902i | |||||
0 | 0 | |||||||||
−29.0998 | − | 7.79727i | −1.36123 | − | 0.364741i | −0.496963 | − | 0.867772i | ||
−0.864268 | + | 0.503031i | ||||||||
8.54557 | + | 4.93379i | 0.399308 | + | 0.230541i | |||||
0 | 0 | |||||||||
−0.573852 | + | 0.573852i | −0.0267560 | + | 0.0267560i | |||||
−20.1337 | − | 20.1337i | −0.937718 | − | 0.937718i | 0.0604534 | − | 0.998171i | ||
−0.998171 | + | 0.0604534i | ||||||||
0 | 0 | |||||||||
0.936943 | − | 3.49672i | 0.0435434 | − | 0.162506i | −0.940731 | − | 0.339155i | ||
0.984274 | + | 0.176649i | ||||||||
0.892249 | + | 0.515140i | 0.0414216 | + | 0.0239148i | |||||
0 | 0 | |||||||||
0.535258 | − | 1.99761i | 0.0247953 | − | 0.0925375i | |||||
−36.6235 | −1.69473 | −0.847366 | − | 0.531010i | ||||||
−0.847366 | + | 0.531010i | ||||||||
0 | 0 | |||||||||
1.14738 | 0.0529809 | |||||||||
−0.543527 | + | 2.02847i | −0.0250710 | + | 0.0935663i | |||||
0 | 0 | |||||||||
−10.3789 | − | 5.99225i | −0.477727 | − | 0.275816i | |||||
12.6137 | − | 47.0750i | 0.579979 | − | 2.16451i | |||||
0 | 0 | |||||||||
−15.7738 | − | 15.7738i | −0.723751 | − | 0.723751i | |||||
−2.39342 | + | 2.39342i | −0.109702 | + | 0.109702i | |||||
0 | 0 | |||||||||
17.0961 | + | 9.87043i | 0.781957 | + | 0.451463i | |||||
4.87703 | + | 1.30680i | 0.222837 | + | 0.0597091i | 0.368510 | − | 0.929624i | ||
−0.145673 | + | 0.989333i | ||||||||
0 | 0 | |||||||||
−5.83555 | − | 28.6177i | −0.266078 | − | 1.30485i | |||||
−8.78273 | + | 5.07071i | −0.400043 | + | 0.230965i | |||||
0 | 0 | |||||||||
−11.4090 | − | 19.7610i | −0.518592 | − | 0.898228i | |||||
8.60613 | + | 14.9063i | 0.390784 | + | 0.676858i | |||||
0 | 0 | |||||||||
−28.6137 | − | 7.66702i | −1.29661 | − | 0.347426i | −0.456443 | − | 0.889753i | ||
−0.840167 | + | 0.542327i | ||||||||
−1.99981 | + | 1.99981i | −0.0905271 | + | 0.0905271i | |||||
0 | 0 | |||||||||
4.17825 | − | 7.23695i | 0.188754 | − | 0.326932i | |||||
1.97522 | 0.0891403 | 0.0445701 | − | 0.999006i | ||||||
0.0445701 | + | 0.999006i | ||||||||
0 | 0 | |||||||||
2.98556 | + | 1.72371i | 0.134463 | + | 0.0776322i | |||||
−22.0320 | − | 14.5686i | −0.991264 | − | 0.655471i | |||||
0 | 0 | |||||||||
−2.28484 | − | 8.52714i | −0.102592 | − | 0.382880i | |||||
−9.18946 | + | 5.30554i | −0.412204 | + | 0.237986i | |||||
0 | 0 | |||||||||
−3.87214 | − | 1.03754i | −0.173341 | − | 0.0464465i | 0.171105 | − | 0.985253i | ||
−0.344445 | + | 0.938806i | ||||||||
10.8652 | − | 2.91131i | 0.485905 | − | 0.130198i | |||||
0 | 0 | |||||||||
−9.25203 | + | 2.47907i | −0.412938 | + | 0.110646i | |||||
6.37037 | − | 3.67794i | 0.284041 | − | 0.163991i | −0.351211 | − | 0.936297i | ||
0.635251 | + | 0.772305i | ||||||||
0 | 0 | |||||||||
13.7639 | − | 3.68802i | 0.612485 | − | 0.164115i | |||||
1.68771 | − | 2.92320i | 0.0750280 | − | 0.129952i | |||||
0 | 0 | |||||||||
7.56941 | + | 13.1106i | 0.335838 | + | 0.581689i | |||||
−10.0747 | − | 10.0747i | −0.446552 | − | 0.446552i | 0.447654 | − | 0.894207i | ||
−0.894207 | + | 0.447654i | ||||||||
0 | 0 | |||||||||
− | 1.12755i | − | 0.0498797i | |||||||
0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | |||||
0 | 0 | |||||||||
1.49470 | − | 5.57831i | 0.0659286 | − | 0.246049i | |||||
−3.56959 | − | 13.3219i | −0.157295 | − | 0.587033i | |||||
0 | 0 | |||||||||
− | 8.73451i | − | 0.384143i | |||||||
5.79412 | − | 5.79412i | 0.254579 | − | 0.254579i | |||||
0 | 0 | |||||||||
4.51053 | − | 2.25136i | 0.197800 | − | 0.0987289i | |||||
− | 28.5428i | − | 1.25048i | −0.780431 | − | 0.625242i | ||||
0.780431 | − | 0.625242i | ||||||||
0 | 0 | |||||||||
7.95336 | − | 13.7756i | 0.347776 | − | 0.602366i | −0.638078 | − | 0.769972i | ||
0.985854 | + | 0.167606i | ||||||||
3.79964 | 0.165988 | |||||||||
0 | 0 | |||||||||
−1.15362 | − | 4.30537i | −0.0503002 | − | 0.187723i | |||||
−7.64532 | − | 28.5327i | −0.333035 | − | 1.24290i | |||||
0 | 0 | |||||||||
−22.6631 | −0.985352 | |||||||||
−1.93704 | + | 3.35505i | −0.0841396 | + | 0.145734i | |||||
0 | 0 | |||||||||
− | 7.41039i | − | 0.321281i | |||||||
4.41797 | − | 3.91218i | 0.191364 | − | 0.169456i | |||||
0 | 0 | |||||||||
9.79864 | − | 9.79864i | 0.423632 | − | 0.423632i | |||||
− | 1.13426i | − | 0.0489925i | |||||||
0 | 0 | |||||||||
3.43046 | + | 12.8027i | 0.147898 | + | 0.551962i | |||||
−8.99570 | + | 33.5724i | −0.387472 | + | 1.44607i | |||||
0 | 0 | |||||||||
20.5826 | + | 20.5826i | 0.884913 | + | 0.884913i | 0.994029 | − | 0.109116i | ||
−0.109116 | + | 0.994029i | ||||||||
5.82407i | 0.250165i | |||||||||
0 | 0 | |||||||||
2.36605 | + | 2.36605i | 0.101444 | + | 0.101444i | |||||
6.91673 | + | 11.9801i | 0.296280 | + | 0.513172i | |||||
0 | 0 | |||||||||
−11.8581 | + | 20.5389i | −0.507017 | + | 0.878180i | 0.492950 | + | 0.870058i | ||
−0.999967 | + | 0.00812189i | ||||||||
5.62169 | − | 1.50633i | 0.240147 | − | 0.0643471i | |||||
0 | 0 | |||||||||
−15.3359 | + | 8.85418i | −0.653924 | + | 0.377543i | |||||
−7.29032 | + | 1.95344i | −0.310578 | + | 0.0832191i | |||||
0 | 0 | |||||||||
1.61660 | − | 0.433166i | 0.0687447 | − | 0.0184201i | |||||
18.7771 | + | 5.03130i | 0.797762 | + | 0.213760i | |||||
0 | 0 | |||||||||
1.97173 | − | 1.13838i | 0.0836199 | − | 0.0482779i | |||||
1.55296 | + | 5.79572i | 0.0658010 | + | 0.245573i | 0.990990 | − | 0.133933i | ||
−0.925189 | + | 0.379506i | ||||||||
0 | 0 | |||||||||
−30.1609 | − | 1.83129i | −1.27567 | − | 0.0774555i | |||||
1.22486 | + | 0.707171i | 0.0517596 | + | 0.0298834i | |||||
0 | 0 | |||||||||
1.45300 | 0.0612909 | |||||||||
−17.1469 | + | 29.6993i | −0.722656 | + | 1.25168i | 0.237275 | + | 0.971442i | ||
−0.959932 | + | 0.280235i | ||||||||
0 | 0 | |||||||||
10.0322 | − | 10.0322i | 0.422059 | − | 0.422059i | |||||
−20.0268 | − | 5.36617i | −0.841790 | − | 0.225557i | |||||
0 | 0 | |||||||||
5.24488 | + | 9.08440i | 0.220070 | + | 0.381173i | |||||
−17.8407 | − | 30.9009i | −0.747919 | − | 1.29543i | −0.948818 | − | 0.315822i | ||
0.200899 | − | 0.979612i | ||||||||
0 | 0 | |||||||||
25.3581 | − | 14.6405i | 1.06121 | − | 0.612687i | 0.135440 | − | 0.990786i | ||
0.925765 | + | 0.378099i | ||||||||
−15.6975 | + | 13.9004i | −0.656347 | + | 0.581206i | |||||
0 | 0 | |||||||||
1.59920 | + | 0.428504i | 0.0667493 | + | 0.0178854i | |||||
−1.53069 | − | 0.883747i | −0.0638344 | − | 0.0368548i | |||||
0 | 0 | |||||||||
−19.2968 | + | 19.2968i | −0.803337 | + | 0.803337i | −0.983616 | − | 0.180278i | ||
0.180278 | + | 0.983616i | ||||||||
−4.10375 | − | 4.10375i | −0.170693 | − | 0.170693i | |||||
0 | 0 | |||||||||
0.372831 | − | 1.39143i | 0.0154810 | − | 0.0577758i | |||||
−14.2593 | − | 8.23262i | −0.591576 | − | 0.341547i | |||||
0 | 0 | |||||||||
4.17041 | − | 15.5642i | 0.172721 | − | 0.644602i | |||||
−1.11466 | −0.0461248 | |||||||||
0 | 0 | |||||||||
23.7415 | 0.980753 | |||||||||
5.15867 | − | 19.2524i | 0.212921 | − | 0.794633i | −0.773967 | − | 0.633226i | ||
0.986888 | − | 0.161407i | ||||||||
0 | 0 | |||||||||
56.0064 | + | 32.3353i | 2.30770 | + | 1.33235i | |||||
−4.33687 | + | 16.1854i | −0.178546 | + | 0.666344i | |||||
0 | 0 | |||||||||
−5.72788 | − | 5.72788i | −0.235414 | − | 0.235414i | |||||
−3.24522 | + | 3.24522i | −0.133265 | + | 0.133265i | −0.770593 | − | 0.637328i | ||
0.637328 | + | 0.770593i | ||||||||
0 | 0 | |||||||||
4.09850 | + | 2.36627i | 0.168022 | + | 0.0970075i | |||||
13.8851 | + | 3.72050i | 0.568755 | + | 0.152397i | |||||
0 | 0 | |||||||||
−1.98494 | − | 0.663172i | −0.0811701 | − | 0.0271191i | |||||
36.4947 | − | 21.0702i | 1.49113 | − | 0.860906i | 0.491185 | − | 0.871055i | ||
0.999949 | + | 0.0101486i | ||||||||
0 | 0 | |||||||||
−2.31955 | − | 4.01758i | −0.0946164 | − | 0.163880i | 0.814832 | − | 0.579697i | ||
−0.909448 | + | 0.415817i | ||||||||
−4.23873 | − | 7.34169i | −0.172758 | − | 0.299225i | |||||
0 | 0 | |||||||||
2.72013 | + | 0.728858i | 0.110681 | + | 0.0296568i | |||||
−22.5592 | + | 22.5592i | −0.917163 | + | 0.917163i | |||||
0 | 0 | |||||||||
−5.75071 | + | 9.96053i | −0.233414 | + | 0.404285i | −0.958811 | − | 0.284046i | ||
0.725396 | + | 0.688331i | ||||||||
−7.32567 | −0.297095 | |||||||||
0 | 0 | |||||||||
3.42448 | + | 1.97712i | 0.138653 | + | 0.0800514i | |||||
−5.30627 | + | 1.08202i | −0.214669 | + | 0.0437740i | |||||
0 | 0 | |||||||||
−3.05394 | − | 11.3975i | −0.123347 | − | 0.460339i | 0.876428 | − | 0.481533i | ||
−0.999775 | + | 0.0211942i | ||||||||
18.0890 | − | 10.4437i | 0.730014 | − | 0.421474i | |||||
0 | 0 | |||||||||
−5.68214 | − | 1.52252i | −0.228940 | − | 0.0613443i | |||||
30.8124 | − | 8.25615i | 1.24046 | − | 0.332380i | 0.421815 | − | 0.906682i | ||
0.818644 | + | 0.574302i | ||||||||
0 | 0 | |||||||||
−22.3895 | + | 5.99924i | −0.899909 | + | 0.241130i | −0.678977 | − | 0.734160i | ||
−0.220932 | + | 0.975289i | ||||||||
−10.6893 | + | 6.17149i | −0.429294 | + | 0.247853i | |||||
0 | 0 | |||||||||
27.1518 | − | 7.27531i | 1.08869 | − | 0.291713i | |||||
−1.53169 | + | 2.65297i | −0.0613659 | + | 0.106289i | |||||
0 | 0 | |||||||||
−0.250846 | − | 0.434477i | −0.0100338 | − | 0.0173791i | |||||
−12.3959 | − | 12.3959i | −0.495439 | − | 0.495439i | |||||
0 | 0 | |||||||||
− | 7.87815i | − | 0.314372i | |||||||
−19.1661 | − | 19.1661i | −0.764202 | − | 0.764202i | |||||
0 | 0 | |||||||||
6.12810 | − | 22.8704i | 0.243956 | − | 0.910456i | −0.729949 | − | 0.683501i | ||
0.973905 | − | 0.226955i | ||||||||
−0.428214 | − | 1.59811i | −0.0170334 | − | 0.0635696i | |||||
0 | 0 | |||||||||
22.1230i | 0.878617i | |||||||||
14.9671 | − | 14.9671i | 0.593951 | − | 0.593951i | |||||
0 | 0 | |||||||||
21.5098 | + | 1.30602i | 0.852250 | + | 0.0517464i | |||||
5.99142i | 0.237203i | |||||||||
0 | 0 | |||||||||
0.699086 | − | 1.21085i | 0.0276338 | − | 0.0478631i | |||||
28.7047 | 1.13377 | 0.566884 | − | 0.823798i | ||||||
0.566884 | + | 0.823798i | ||||||||
0 | 0 | |||||||||
5.90865 | + | 22.0514i | 0.233014 | + | 0.869621i | 0.979034 | + | 0.203697i | ||
−0.746020 | + | 0.665924i | ||||||||
−0.151965 | − | 0.567142i | −0.00598827 | − | 0.0223485i | |||||
0 | 0 | |||||||||
−24.5125 | −0.964430 | |||||||||
18.5692 | − | 32.1627i | 0.730029 | − | 1.26445i | −0.226841 | − | 0.973932i | ||
0.956870 | − | 0.290516i | ||||||||
0 | 0 | |||||||||
− | 69.6938i | − | 2.73572i | |||||||
7.27876 | + | 8.21980i | 0.285497 | + | 0.322407i | |||||
0 | 0 | |||||||||
4.89095 | − | 4.89095i | 0.191544 | − | 0.191544i | |||||
− | 44.4676i | − | 1.74015i | −0.492917 | − | 0.870076i | ||||
0.492917 | − | 0.870076i | ||||||||
0 | 0 | |||||||||
−1.37499 | − | 5.13153i | −0.0537253 | − | 0.200506i | |||||
0.423606 | − | 1.58092i | 0.0165390 | − | 0.0617245i | |||||
0 | 0 | |||||||||
−1.07434 | − | 1.07434i | −0.0418822 | − | 0.0418822i | |||||
− | 0.414343i | − | 0.0161405i | −0.999967 | − | 0.00807026i | ||||
0.999967 | − | 0.00807026i | ||||||||
0 | 0 | |||||||||
−20.1566 | − | 20.1566i | −0.784000 | − | 0.784000i | 0.196503 | − | 0.980503i | ||
−0.980503 | + | 0.196503i | ||||||||
−11.3179 | − | 19.6031i | −0.439881 | − | 0.761896i | |||||
0 | 0 | |||||||||
−8.13850 | + | 14.0963i | −0.315835 | + | 0.547043i | |||||
−10.0080 | + | 2.68162i | −0.388092 | + | 0.103989i | |||||
0 | 0 | |||||||||
−0.517893 | + | 0.299006i | −0.0200529 | + | 0.0115776i | |||||
−15.3104 | + | 4.10240i | −0.592376 | + | 0.158727i | |||||
0 | 0 | |||||||||
−1.53185 | + | 0.410458i | −0.0591806 | + | 0.0158574i | |||||
−15.8863 | − | 4.25671i | −0.613282 | − | 0.164328i | |||||
0 | 0 | |||||||||
3.60027 | − | 2.07862i | 0.138780 | − | 0.0801248i | −0.429002 | − | 0.903303i | ||
0.567783 | + | 0.823179i | ||||||||
8.06823 | + | 30.1111i | 0.310777 | + | 1.15983i | |||||
0 | 0 | |||||||||
10.3892 | + | 7.81438i | 0.399585 | + | 0.300553i | |||||
−17.6062 | − | 10.1649i | −0.676659 | − | 0.390669i | 0.121936 | − | 0.992538i | ||
−0.798595 | + | 0.601869i | ||||||||
0 | 0 | |||||||||
−12.4529 | −0.477899 | |||||||||
2.33922 | − | 4.05164i | 0.0897048 | − | 0.155373i | |||||
0 | 0 | |||||||||
36.3010 | − | 36.3010i | 1.39004 | − | 1.39004i | |||||
9.85750 | + | 2.64131i | 0.377187 | + | 0.101067i | 0.442431 | − | 0.896802i | ||
−0.0652445 | + | 0.997869i | ||||||||
0 | 0 | |||||||||
−4.06868 | − | 7.04716i | −0.155456 | − | 0.269258i | |||||
6.56341 | + | 11.3682i | 0.250592 | + | 0.434038i | |||||
0 | 0 | |||||||||
−7.25776 | + | 4.19027i | −0.276699 | + | 0.159753i | |||||
−9.97196 | − | 0.605472i | −0.379901 | − | 0.0230666i | |||||
0 | 0 | |||||||||
40.8703 | + | 10.9512i | 1.55478 | + | 0.416602i | 0.931006 | − | 0.365004i | ||
0.623773 | + | 0.781606i | ||||||||
−2.25559 | − | 1.30226i | −0.0857445 | − | 0.0495046i | |||||
0 | 0 | |||||||||
14.3954 | − | 14.3954i | 0.546444 | − | 0.546444i | |||||
−2.25093 | − | 2.25093i | −0.0853826 | − | 0.0853826i | |||||
0 | 0 | |||||||||
1.41743 | − | 5.28992i | 0.0536890 | − | 0.200370i | |||||
25.4656 | + | 14.7026i | 0.963888 | + | 0.556501i | |||||
0 | 0 | |||||||||
−0.797249 | + | 2.97537i | −0.0301332 | + | 0.112458i | |||||
16.7670 | 0.633280 | 0.316640 | − | 0.948546i | ||||||
0.316640 | + | 0.948546i | ||||||||
0 | 0 | |||||||||
59.3412 | 2.23810 | |||||||||
−1.50512 | + | 5.61718i | −0.0567263 | + | 0.211705i | |||||
0 | 0 | |||||||||
−9.93766 | − | 5.73751i | −0.374009 | − | 0.215934i | |||||
−2.66825 | + | 9.95805i | −0.100350 | + | 0.374511i | |||||
0 | 0 | |||||||||
9.05848 | + | 9.05848i | 0.340198 | + | 0.340198i | 0.856442 | − | 0.516244i | ||
−0.516244 | + | 0.856442i | ||||||||
10.3708 | − | 10.3708i | 0.389208 | − | 0.389208i | |||||
0 | 0 | |||||||||
2.62264 | + | 1.51418i | 0.0982875 | + | 0.0567463i | |||||
4.94946 | + | 1.32620i | 0.185359 | + | 0.0496667i | |||||
0 | 0 | |||||||||
24.4535 | + | 16.1698i | 0.914508 | + | 0.604717i | |||||
3.11097 | − | 1.79612i | 0.116262 | − | 0.0671242i | |||||
0 | 0 | |||||||||
18.3660 | + | 31.8108i | 0.685413 | + | 1.18717i | |||||
8.63433 | + | 14.9551i | 0.322006 | + | 0.557731i | 0.980902 | − | 0.194503i | ||
−0.658896 | + | 0.752234i | ||||||||
0 | 0 | |||||||||
9.63828 | + | 2.58257i | 0.358948 | + | 0.0961799i | |||||
24.5122 | − | 24.5122i | 0.912248 | − | 0.912248i | |||||
0 | 0 | |||||||||
−8.17213 | + | 14.1545i | −0.303715 | + | 0.526050i | |||||
3.13732 | 0.116517 | |||||||||
0 | 0 | |||||||||
12.1283 | + | 7.00226i | 0.449813 | + | 0.259700i | 0.707751 | − | 0.706462i | ||
−0.257938 | + | 0.966161i | ||||||||
−0.221045 | + | 3.64054i | −0.00819245 | + | 0.134928i | |||||
0 | 0 | |||||||||
0.403364 | + | 1.50538i | 0.0149292 | + | 0.0557165i | |||||
−24.2852 | + | 14.0211i | −0.898222 | + | 0.518589i | |||||
0 | 0 | |||||||||
6.57489 | + | 1.76174i | 0.242849 | + | 0.0650712i | 0.378190 | − | 0.925728i | ||
−0.135341 | + | 0.990799i | ||||||||
5.38262 | − | 1.44227i | 0.198676 | − | 0.0532351i | |||||
0 | 0 | |||||||||
−0.560658 | + | 0.150228i | −0.0206661 | + | 0.00553747i | |||||
5.71238 | − | 3.29805i | 0.210418 | − | 0.121485i | |||||
0 | 0 | |||||||||
−17.1161 | + | 4.58625i | −0.629626 | + | 0.168708i | −0.559500 | − | 0.828830i | ||
−0.0701262 | + | 0.997538i | ||||||||
−5.66291 | + | 9.80845i | −0.208173 | + | 0.360566i | |||||
0 | 0 | |||||||||
−1.40143 | − | 2.42735i | −0.0514481 | − | 0.0891108i | |||||
−21.9872 | − | 21.9872i | −0.806631 | − | 0.806631i | 0.177491 | − | 0.984122i | ||
−0.984122 | + | 0.177491i | ||||||||
0 | 0 | |||||||||
− | 20.0986i | − | 0.736354i | |||||||
2.03537 | + | 2.03537i | 0.0745200 | + | 0.0745200i | |||||
0 | 0 | |||||||||
−5.03629 | + | 18.7957i | −0.184145 | + | 0.687238i | |||||
2.59484 | + | 9.68407i | 0.0948133 | + | 0.353848i | |||||
0 | 0 | |||||||||
− | 5.74389i | − | 0.209598i | −0.994493 | − | 0.104799i | ||||
0.994493 | − | 0.104799i | ||||||||
−1.06206 | + | 1.06206i | −0.0387294 | + | 0.0387294i | |||||
0 | 0 | |||||||||
3.63983 | − | 0.742213i | 0.132555 | − | 0.0270298i | |||||
− | 3.93738i | − | 0.143296i | |||||||
0 | 0 | |||||||||
−13.1210 | + | 22.7262i | −0.476891 | + | 0.825999i | −0.999649 | − | 0.0264817i | ||
0.522759 | + | 0.852481i | ||||||||
21.3259 | 0.774591 | |||||||||
0 | 0 | |||||||||
2.65097 | + | 9.89354i | 0.0961606 | + | 0.358876i | |||||
0.967626 | + | 3.61123i | 0.0350764 | + | 0.130907i | 0.981244 | − | 0.192771i | ||
−0.946167 | + | 0.323678i | ||||||||
0 | 0 | |||||||||
−10.0084 | −0.362328 | |||||||||
12.7189 | − | 22.0297i | 0.460152 | − | 0.797007i | |||||
0 | 0 | |||||||||
12.9795i | 0.468969i | |||||||||
−42.3394 | + | 8.63362i | −1.52879 | + | 0.311742i | |||||
0 | 0 | |||||||||
34.6441 | − | 34.6441i | 1.24930 | − | 1.24930i | 0.293266 | − | 0.956031i | ||
0.956031 | − | 0.293266i | ||||||||
8.22486i | 0.296403i | |||||||||
0 | 0 | |||||||||
−3.26525 | − | 12.1861i | −0.117519 | − | 0.438586i | |||||
−1.60335 | + | 5.98377i | −0.0576683 | + | 0.215221i | −0.988747 | − | 0.149597i | ||
0.931079 | + | 0.364818i | ||||||||
0 | 0 | |||||||||
−19.0085 | − | 19.0085i | −0.682806 | − | 0.682806i | |||||
12.3105i | 0.441923i | |||||||||
0 | 0 | |||||||||
22.1340 | + | 22.1340i | 0.793543 | + | 0.793543i | |||||
5.99491 | + | 10.3835i | 0.214790 | + | 0.372027i | |||||
0 | 0 | |||||||||
−30.5007 | + | 52.8288i | −1.09140 | + | 1.89036i | |||||
−1.87602 | + | 0.502678i | −0.0670864 | + | 0.0179757i | |||||
0 | 0 | |||||||||
5.17601 | − | 2.98837i | 0.184857 | − | 0.106727i | |||||
−10.6397 | + | 2.85089i | −0.379746 | + | 0.101753i | |||||
0 | 0 | |||||||||
−19.0056 | + | 5.09254i | −0.677477 | + | 0.181529i | −0.581121 | − | 0.813817i | ||
−0.0963566 | + | 0.995347i | ||||||||
0.680083 | + | 0.182228i | 0.0242270 | + | 0.00649159i | |||||
0 | 0 | |||||||||
−2.00334 | + | 1.15663i | −0.0712757 | + | 0.0411511i | |||||
2.65669 | + | 9.91492i | 0.0944612 | + | 0.352534i | |||||
0 | 0 | |||||||||
−0.618001 | + | 10.1783i | −0.0219459 | + | 0.361443i | |||||
−2.15790 | − | 1.24586i | −0.0765809 | − | 0.0442140i | |||||
0 | 0 | |||||||||
−9.91471 | −0.351418 | |||||||||
−2.20478 | + | 3.81880i | −0.0780974 | + | 0.135269i | −0.902429 | − | 0.430839i | ||
0.824332 | + | 0.566107i | ||||||||
0 | 0 | |||||||||
−3.55377 | + | 3.55377i | −0.125723 | + | 0.125723i | |||||
2.94136 | + | 0.788134i | 0.103993 | + | 0.0278647i | |||||
0 | 0 | |||||||||
10.2566 | + | 17.7649i | 0.362172 | + | 0.627301i | |||||
−3.24105 | − | 5.61366i | −0.114374 | − | 0.198102i | |||||
0 | 0 | |||||||||
−0.710950 | + | 0.410467i | −0.0250577 | + | 0.0144671i | |||||
−26.5501 | − | 17.5562i | −0.935186 | − | 0.618390i | |||||
0 | 0 | |||||||||
9.84420 | + | 2.63775i | 0.346318 | + | 0.0927956i | |||||
−17.1929 | − | 9.92632i | −0.604470 | − | 0.348991i | 0.166328 | − | 0.986070i | ||
−0.770798 | + | 0.637080i | ||||||||
0 | 0 | |||||||||
6.11440 | − | 6.11440i | 0.214706 | − | 0.214706i | −0.591557 | − | 0.806263i | ||
0.806263 | + | 0.591557i | ||||||||
0.736944 | + | 0.736944i | 0.0258617 | + | 0.0258617i | |||||
0 | 0 | |||||||||
12.1921 | − | 45.5017i | 0.427334 | − | 1.59483i | |||||
−8.37528 | − | 4.83547i | −0.293373 | − | 0.169379i | |||||
0 | 0 | |||||||||
15.8897 | − | 59.3011i | 0.555910 | − | 2.07468i | |||||
−9.79619 | −0.342516 | |||||||||
0 | 0 | |||||||||
−2.28837 | −0.0799133 | |||||||||
−8.40409 | + | 31.3645i | −0.293305 | + | 1.09463i | 0.649250 | + | 0.760575i | ||
−0.942554 | + | 0.334053i | ||||||||
0 | 0 | |||||||||
2.45985 | + | 1.42019i | 0.0857448 | + | 0.0495048i | 0.542259 | − | 0.840211i | ||
−0.456515 | + | 0.889716i | ||||||||
2.55304 | − | 9.52809i | 0.0889395 | − | 0.331927i | |||||
0 | 0 | |||||||||
−8.57233 | − | 8.57233i | −0.298269 | − | 0.298269i | |||||
0.354454 | − | 0.354454i | 0.0123256 | − | 0.0123256i | −0.700917 | − | 0.713243i | ||
0.713243 | + | 0.700917i | ||||||||
0 | 0 | |||||||||
−12.9034 | − | 7.44977i | −0.448153 | − | 0.258741i | 0.258897 | − | 0.965905i | ||
−0.707050 | + | 0.707164i | ||||||||
21.9826 | + | 5.89022i | 0.763027 | + | 0.204452i | |||||
0 | 0 | |||||||||
3.59892 | + | 0.218517i | 0.124770 | + | 0.00757573i | |||||
17.3195 | − | 9.99940i | 0.600084 | − | 0.346459i | |||||
0 | 0 | |||||||||
11.0808 | + | 19.1926i | 0.383468 | + | 0.664186i | |||||
−21.3006 | − | 36.8937i | −0.736696 | − | 1.27600i | |||||
0 | 0 | |||||||||
1.67290 | + | 0.448252i | 0.0577893 | + | 0.0154846i | |||||
8.50311 | − | 8.50311i | 0.293560 | − | 0.293560i | −0.544925 | − | 0.838485i | ||
0.838485 | + | 0.544925i | ||||||||
0 | 0 | |||||||||
−13.9693 | + | 24.1955i | −0.481699 | + | 0.834327i | |||||
3.55532 | 0.122524 | |||||||||
0 | 0 | |||||||||
5.22116 | + | 3.01444i | 0.179720 | + | 0.103761i | |||||
6.79398 | − | 16.8587i | 0.233720 | − | 0.579958i | |||||
0 | 0 | |||||||||
−5.97405 | − | 22.2955i | −0.205271 | − | 0.766081i | |||||
−2.39960 | + | 1.38541i | −0.0824025 | + | 0.0475751i | |||||
0 | 0 | |||||||||
9.84209 | + | 2.63718i | 0.337581 | + | 0.0904545i | |||||
4.54158 | − | 1.21691i | 0.155683 | − | 0.0417152i | |||||
0 | 0 | |||||||||
−11.7087 | + | 3.13735i | −0.400900 | + | 0.107421i | −0.453635 | − | 0.891188i | ||
0.0527349 | + | 0.998609i | ||||||||
−2.47758 | + | 1.43043i | −0.0847811 | + | 0.0489484i | |||||
0 | 0 | |||||||||
9.57335 | − | 2.56517i | 0.327211 | − | 0.0876758i | |||||
23.9473 | − | 41.4780i | 0.818025 | − | 1.41686i | −0.0891105 | − | 0.996022i | ||
0.907135 | − | 0.420839i | ||||||||
0 | 0 | |||||||||
−26.9704 | − | 46.7142i | −0.920220 | − | 1.59387i | −0.799074 | − | 0.601232i | ||
−0.121145 | − | 0.992635i | ||||||||
8.28548 | + | 8.28548i | 0.282532 | + | 0.282532i | |||||
0 | 0 | |||||||||
− | 14.8271i | − | 0.505012i | |||||||
−23.3989 | − | 23.3989i | −0.796508 | − | 0.796508i | 0.186035 | − | 0.982543i | ||
−0.982543 | + | 0.186035i | ||||||||
0 | 0 | |||||||||
−0.942509 | + | 3.51749i | −0.0320463 | + | 0.119598i | |||||
2.97320 | + | 11.0962i | 0.101034 | + | 0.377063i | |||||
0 | 0 | |||||||||
− | 8.93004i | − | 0.303105i | |||||||
6.80336 | − | 6.80336i | 0.230788 | − | 0.230788i | |||||
0 | 0 | |||||||||
−2.71123 | − | 3.06175i | −0.0918665 | − | 0.103743i | |||||
9.89396i | 0.335052i | |||||||||
0 | 0 | |||||||||
2.12604 | − | 3.68241i | 0.0719144 | − | 0.124559i | |||||
11.3785 | 0.384665 | |||||||||
0 | 0 | |||||||||
2.46001 | + | 9.18088i | 0.0830686 | + | 0.310016i | 0.994941 | − | 0.100456i | ||
−0.911873 | + | 0.410473i | ||||||||
10.5345 | + | 39.3153i | 0.355523 | + | 1.32683i | |||||
0 | 0 | |||||||||
8.13083 | 0.274090 | |||||||||
−12.5122 | + | 21.6718i | −0.421548 | + | 0.730143i | −0.996091 | − | 0.0883317i | ||
0.574543 | + | 0.818474i | ||||||||
0 | 0 | |||||||||
− | 36.5915i | − | 1.23140i | −0.787980 | − | 0.615701i | ||||
0.787980 | − | 0.615701i | ||||||||
12.0424 | + | 0.731182i | 0.405029 | + | 0.0245923i | |||||
0 | 0 | |||||||||
−8.71483 | + | 8.71483i | −0.292780 | + | 0.292780i | |||||
48.8136i | 1.63900i | 0.573079 | + | 0.819500i | ||||||
−0.573079 | + | 0.819500i | ||||||||
0 | 0 | |||||||||
3.96353 | + | 14.7921i | 0.132933 | + | 0.496111i | |||||
1.09588 | − | 4.08989i | 0.0367341 | − | 0.137094i | |||||
0 | 0 | |||||||||
−20.6159 | − | 20.6159i | −0.690271 | − | 0.690271i | |||||
− | 11.0030i | − | 0.368202i | |||||||
0 | 0 | |||||||||
−3.55149 | − | 3.55149i | −0.118713 | − | 0.118713i | |||||
0.505782 | + | 0.876041i | 0.0168970 | + | 0.0292665i | |||||
0 | 0 | |||||||||
14.1615 | − | 24.5285i | 0.472577 | − | 0.818527i | |||||
−8.78535 | + | 2.35403i | −0.293008 | + | 0.0785112i | |||||
0 | 0 | |||||||||
−8.02931 | + | 4.63572i | −0.267495 | + | 0.154438i | |||||
9.19356 | − | 2.46341i | 0.306112 | − | 0.0820225i | |||||
0 | 0 | |||||||||
9.80156 | − | 2.62632i | 0.325995 | − | 0.0873501i | |||||
22.0734 | + | 5.91456i | 0.733745 | + | 0.196606i | |||||
0 | 0 | |||||||||
7.29873 | − | 4.21392i | 0.242350 | − | 0.139921i | −0.373906 | − | 0.927467i | ||
0.616256 | + | 0.787546i | ||||||||
3.75404 | + | 14.0103i | 0.124582 | + | 0.464947i | |||||
0 | 0 | |||||||||
4.99666 | − | 1.01889i | 0.165638 | − | 0.0337758i | |||||
−7.11409 | − | 4.10732i | −0.235700 | − | 0.136082i | 0.377499 | − | 0.926010i | ||
−0.613199 | + | 0.789929i | ||||||||
0 | 0 | |||||||||
−94.6562 | −3.13266 | |||||||||
−15.0632 | + | 26.0902i | −0.498245 | + | 0.862986i | |||||
0 | 0 | |||||||||
6.97743 | − | 6.97743i | 0.230541 | − | 0.230541i | |||||
3.71262 | + | 0.994793i | 0.122601 | + | 0.0328510i | |||||
0 | 0 | |||||||||
11.5951 | + | 20.0833i | 0.382488 | + | 0.662488i | 0.991417 | − | 0.130736i | ||
−0.608929 | + | 0.793224i | ||||||||
0.405774 | + | 0.702822i | 0.0133780 | + | 0.0231714i | |||||
0 | 0 | |||||||||
−24.6586 | + | 14.2366i | −0.812087 | + | 0.468859i | |||||
35.8722 | + | 11.9850i | 1.18075 | + | 0.394491i | |||||
0 | 0 | |||||||||
−23.8263 | − | 6.38424i | −0.783404 | − | 0.209912i | |||||
−3.13507 | − | 1.81003i | −0.103025 | − | 0.0594814i | |||||
0 | 0 | |||||||||
0.728518 | − | 0.728518i | 0.0239148 | − | 0.0239148i | |||||
4.98880 | + | 4.98880i | 0.163677 | + | 0.163677i | 0.784194 | − | 0.620516i | ||
−0.620516 | + | 0.784194i | ||||||||
0 | 0 | |||||||||
−11.3320 | + | 42.2917i | −0.371392 | + | 1.38605i | |||||
−1.79101 | − | 1.03404i | −0.0586664 | − | 0.0338711i | |||||
0 | 0 | |||||||||
−9.47885 | + | 35.3755i | −0.310157 | + | 1.15752i | |||||
27.2066 | 0.889752 | |||||||||
0 | 0 | |||||||||
−46.7071 | −1.52585 | −0.762927 | − | 0.646484i | ||||||
−0.762927 | + | 0.646484i | ||||||||
0.296963 | − | 1.10828i | 0.00969618 | − | 0.0361867i | |||||
0 | 0 | |||||||||
1.81868 | + | 1.05001i | 0.0593187 | + | 0.0342476i | |||||
−10.1255 | + | 37.7889i | −0.330082 | + | 1.23188i | 0.579022 | + | 0.815312i | ||
−0.909104 | + | 0.416570i | ||||||||
0 | 0 | |||||||||
0.671745 | + | 0.671745i | 0.0218750 | + | 0.0218750i | |||||
−8.47432 | + | 8.47432i | −0.275816 | + | 0.275816i | |||||
0 | 0 | |||||||||
−42.2063 | − | 24.3678i | −1.37224 | − | 0.792266i | |||||
49.7829 | + | 13.3393i | 1.61773 | + | 0.433469i | 0.950333 | − | 0.311236i | ||
0.667394 | + | 0.744705i | ||||||||
0 | 0 | |||||||||
−3.00883 | + | 2.66437i | −0.0976708 | + | 0.0864891i | |||||
−19.3189 | + | 11.1538i | −0.626787 | + | 0.361876i | |||||
0 | 0 | |||||||||
1.69240 | + | 2.93133i | 0.0548511 | + | 0.0950048i | |||||
16.8331 | + | 29.1557i | 0.545276 | + | 0.944446i | 0.998589 | + | 0.0530947i | ||
−0.453313 | + | 0.891351i | ||||||||
0 | 0 | |||||||||
−34.3544 | − | 9.20524i | −1.11168 | − | 0.297875i | |||||
13.9589 | − | 13.9589i | 0.451463 | − | 0.451463i | |||||
0 | 0 | |||||||||
2.52454 | − | 4.37263i | 0.0815641 | − | 0.141273i | |||||
5.88730 | 0.190111 | |||||||||
0 | 0 | |||||||||
40.6449 | + | 23.4663i | 1.31112 | + | 0.756978i | |||||
−29.1529 | − | 1.77009i | −0.939927 | − | 0.0570699i | |||||
0 | 0 | |||||||||
2.62479 | + | 9.79587i | 0.0845389 | + | 0.315504i | |||||
−15.2760 | + | 8.81963i | −0.491753 | + | 0.283914i | |||||
0 | 0 | |||||||||
41.2138 | + | 11.0432i | 1.32535 | + | 0.355126i | 0.850979 | − | 0.525200i | ||
0.474369 | + | 0.880326i | ||||||||
−22.0406 | + | 5.90575i | −0.708410 | + | 0.189818i | |||||
0 | 0 | |||||||||
16.6258 | − | 4.45486i | 0.533821 | − | 0.143037i | |||||
19.5275 | − | 11.2742i | 0.626666 | − | 0.361806i | −0.152794 | − | 0.988258i | ||
0.779460 | + | 0.626452i | ||||||||
0 | 0 | |||||||||
2.22461 | − | 0.596082i | 0.0713177 | − | 0.0191095i | |||||
−14.8115 | + | 25.6543i | −0.474592 | + | 0.822018i | |||||
0 | 0 | |||||||||
1.41408 | + | 2.44926i | 0.0452635 | + | 0.0783987i | |||||
−16.8832 | − | 16.8832i | −0.540141 | − | 0.540141i | 0.383429 | − | 0.923570i | ||
−0.923570 | + | 0.383429i | ||||||||
0 | 0 | |||||||||
17.6109i | 0.562847i | |||||||||
−5.90894 | − | 5.90894i | −0.188754 | − | 0.188754i | |||||
0 | 0 | |||||||||
0.511224 | − | 1.90791i | 0.0163138 | − | 0.0608839i | |||||
−6.76555 | − | 25.2494i | −0.215788 | − | 0.805330i | −0.985888 | − | 0.167407i | ||
0.770100 | − | 0.637923i | ||||||||
0 | 0 | |||||||||
− | 0.984416i | − | 0.0313661i | |||||||
2.43770 | − | 2.43770i | 0.0776322 | − | 0.0776322i | |||||
0 | 0 | |||||||||
−19.7745 | + | 17.5106i | −0.629109 | + | 0.557087i | |||||
− | 4.86436i | − | 0.154678i | |||||||
0 | 0 | |||||||||
−5.16138 | + | 8.93977i | −0.163957 | + | 0.283981i | −0.936284 | − | 0.351243i | ||
0.772328 | + | 0.635224i | ||||||||
−8.82795 | −0.280288 | |||||||||
0 | 0 | |||||||||
2.74635 | + | 10.2495i | 0.0871089 | + | 0.325095i | |||||
3.58787 | + | 13.3901i | 0.113743 | + | 0.424495i | |||||
0 | 0 | |||||||||
34.0368 | 1.07796 | 0.538978 | − | 0.842320i | ||||||
0.538978 | + | 0.842320i | ||||||||
−2.00437 | + | 3.47166i | −0.0634471 | + | 0.109894i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 702.2.bc.a.305.10 | 56 | ||
3.2 | odd | 2 | 234.2.z.a.227.7 | yes | 56 | ||
9.4 | even | 3 | 234.2.y.a.149.10 | yes | 56 | ||
9.5 | odd | 6 | 702.2.bb.a.71.3 | 56 | |||
13.11 | odd | 12 | 702.2.bb.a.89.3 | 56 | |||
39.11 | even | 12 | 234.2.y.a.11.10 | ✓ | 56 | ||
117.50 | even | 12 | inner | 702.2.bc.a.557.10 | 56 | ||
117.76 | odd | 12 | 234.2.z.a.167.7 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
234.2.y.a.11.10 | ✓ | 56 | 39.11 | even | 12 | ||
234.2.y.a.149.10 | yes | 56 | 9.4 | even | 3 | ||
234.2.z.a.167.7 | yes | 56 | 117.76 | odd | 12 | ||
234.2.z.a.227.7 | yes | 56 | 3.2 | odd | 2 | ||
702.2.bb.a.71.3 | 56 | 9.5 | odd | 6 | |||
702.2.bb.a.89.3 | 56 | 13.11 | odd | 12 | |||
702.2.bc.a.305.10 | 56 | 1.1 | even | 1 | trivial | ||
702.2.bc.a.557.10 | 56 | 117.50 | even | 12 | inner |