Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [484,2,Mod(483,484)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(484, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("484.483");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 484.c (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: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 44) |
Sato-Tate group: |
Embedding invariants
Embedding label | 483.14 | ||
Root | of defining polynomial | ||
Character | 484.483 | ||
Dual form | 484.2.c.d.483.13 |
-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 .
1.20762 | + | 0.735975i | 0.853915 | + | 0.520413i | |||||
− | 0.740676i | − | 0.427629i | −0.976874 | − | 0.213815i | ||||
0.976874 | − | 0.213815i | ||||||||
0.916683 | + | 1.77755i | 0.458341 | + | 0.888776i | |||||
−1.34841 | −0.603029 | −0.301515 | − | 0.953462i | ||||||
−0.301515 | + | 0.953462i | ||||||||
0.545118 | − | 0.894453i | 0.222544 | − | 0.365159i | |||||
1.62837 | 0.615466 | 0.307733 | − | 0.951473i | ||||||
0.307733 | + | 0.951473i | ||||||||
−0.201231 | + | 2.82126i | −0.0711458 | + | 0.997466i | |||||
2.45140 | 0.817133 | |||||||||
−1.62837 | − | 0.992398i | −0.514936 | − | 0.313824i | |||||
0 | 0 | |||||||||
1.31659 | − | 0.678965i | 0.380067 | − | 0.196000i | |||||
3.55723i | 0.986599i | 0.869859 | + | 0.493300i | ||||||
−0.869859 | + | 0.493300i | ||||||||
1.96645 | + | 1.19844i | 0.525555 | + | 0.320296i | |||||
0.998737i | 0.257873i | |||||||||
−2.31939 | + | 3.25890i | −0.579846 | + | 0.814726i | |||||
− | 0.0699655i | − | 0.0169691i | −0.999964 | − | 0.00848456i | ||||
0.999964 | − | 0.00848456i | ||||||||
2.96035 | + | 1.80417i | 0.697762 | + | 0.425246i | |||||
7.95154 | 1.82421 | 0.912104 | − | 0.409959i | ||||||
0.912104 | + | 0.409959i | ||||||||
−1.23607 | − | 2.39688i | −0.276393 | − | 0.535958i | |||||
− | 1.20609i | − | 0.263191i | |||||||
0 | 0 | |||||||||
− | 5.30988i | − | 1.10719i | −0.832787 | − | 0.553593i | ||||
0.832787 | − | 0.553593i | ||||||||
2.08964 | + | 0.149047i | 0.426546 | + | 0.0304240i | |||||
−3.18178 | −0.636356 | |||||||||
−2.61803 | + | 4.29578i | −0.513439 | + | 0.842472i | |||||
− | 4.03772i | − | 0.777059i | |||||||
1.49270 | + | 2.89451i | 0.282093 | + | 0.547011i | |||||
3.93630i | 0.730952i | 0.930821 | + | 0.365476i | ||||||
−0.930821 | + | 0.365476i | ||||||||
−0.735045 | + | 1.20609i | −0.134200 | + | 0.220201i | |||||
3.69389i | 0.663441i | 0.943378 | + | 0.331721i | ||||||
−0.943378 | + | 0.331721i | ||||||||
−5.19940 | + | 2.22850i | −0.919133 | + | 0.393947i | |||||
0 | 0 | |||||||||
0.0514928 | − | 0.0844916i | 0.00883095 | − | 0.0144902i | |||||
−2.19572 | −0.371144 | |||||||||
2.24716 | + | 4.35749i | 0.374526 | + | 0.726249i | |||||
−6.87861 | −1.13084 | −0.565418 | − | 0.824804i | ||||||
−0.565418 | + | 0.824804i | ||||||||
9.60242 | + | 5.85213i | 1.55772 | + | 0.949341i | |||||
2.63476 | 0.421899 | |||||||||
0.271342 | − | 3.80423i | 0.0429030 | − | 0.601501i | |||||
− | 5.78625i | − | 0.903660i | −0.892104 | − | 0.451830i | ||||
0.892104 | − | 0.451830i | ||||||||
0.887654 | − | 1.45650i | 0.136968 | − | 0.224743i | |||||
1.89516 | 0.289009 | 0.144505 | − | 0.989504i | ||||||
0.144505 | + | 0.989504i | ||||||||
0 | 0 | |||||||||
−3.30550 | −0.492755 | |||||||||
3.90793 | − | 6.41230i | 0.576193 | − | 0.945442i | |||||
− | 9.80536i | − | 1.43026i | −0.698992 | − | 0.715129i | ||||
0.698992 | − | 0.715129i | ||||||||
2.41379 | + | 1.71791i | 0.348401 | + | 0.247959i | |||||
−4.34841 | −0.621202 | |||||||||
−3.84237 | − | 2.34171i | −0.543394 | − | 0.331168i | |||||
−0.0518217 | −0.00725650 | |||||||||
−6.32317 | + | 3.26086i | −0.876866 | + | 0.452199i | |||||
−3.88765 | −0.534010 | −0.267005 | − | 0.963695i | ||||||
−0.267005 | + | 0.963695i | ||||||||
2.97166 | − | 4.87602i | 0.404391 | − | 0.663543i | |||||
0 | 0 | |||||||||
−0.327678 | + | 4.59405i | −0.0437878 | + | 0.613906i | |||||
− | 5.88951i | − | 0.780085i | |||||||
−2.89701 | + | 4.75354i | −0.380397 | + | 0.624171i | |||||
− | 4.86161i | − | 0.632927i | −0.948605 | − | 0.316464i | ||||
0.948605 | − | 0.316464i | ||||||||
−1.77531 | + | 0.915525i | −0.229191 | + | 0.118194i | |||||
1.34602i | 0.172341i | 0.996280 | + | 0.0861704i | ||||||
−0.996280 | + | 0.0861704i | ||||||||
−2.71861 | + | 4.46080i | −0.345263 | + | 0.566523i | |||||
3.99178 | 0.502917 | |||||||||
−7.91901 | − | 1.13545i | −0.989877 | − | 0.141931i | |||||
− | 4.79662i | − | 0.594948i | |||||||
0 | 0 | |||||||||
4.91303i | 0.600223i | 0.953904 | + | 0.300111i | ||||||
−0.953904 | + | 0.300111i | ||||||||
0.124367 | − | 0.0641362i | 0.0150818 | − | 0.00777765i | |||||
−3.93290 | −0.473465 | |||||||||
−2.65159 | − | 1.61599i | −0.316925 | − | 0.193148i | |||||
− | 6.97557i | − | 0.827848i | −0.910311 | − | 0.413924i | ||||
0.910311 | − | 0.413924i | ||||||||
−0.493297 | + | 6.91604i | −0.0581356 | + | 0.815063i | |||||
− | 10.1222i | − | 1.18471i | −0.805676 | − | 0.592356i | ||||
0.805676 | − | 0.592356i | ||||||||
−8.30673 | − | 5.06248i | −0.965638 | − | 0.588501i | |||||
2.35667i | 0.272124i | |||||||||
7.28904 | + | 14.1343i | 0.836110 | + | 1.62131i | |||||
0 | 0 | |||||||||
3.18178 | + | 1.93911i | 0.360266 | + | 0.219561i | |||||
−6.00456 | −0.675566 | −0.337783 | − | 0.941224i | ||||||
−0.337783 | + | 0.941224i | ||||||||
3.12749 | − | 4.39435i | 0.349664 | − | 0.491303i | |||||
4.36356 | 0.484840 | |||||||||
4.25853 | − | 6.98758i | 0.470276 | − | 0.771649i | |||||
−3.61193 | −0.396461 | −0.198230 | − | 0.980155i | ||||||
−0.198230 | + | 0.980155i | ||||||||
2.14389 | − | 1.10560i | 0.233918 | − | 0.120631i | |||||
0.0943425i | 0.0102329i | |||||||||
2.28863 | + | 1.39479i | 0.246789 | + | 0.150404i | |||||
2.91552 | 0.312576 | |||||||||
0 | 0 | |||||||||
−5.39711 | −0.572093 | −0.286046 | − | 0.958216i | ||||||
−0.286046 | + | 0.958216i | ||||||||
−3.99178 | − | 2.43277i | −0.420771 | − | 0.256436i | |||||
5.79249i | 0.607218i | |||||||||
9.43858 | − | 4.86747i | 0.984040 | − | 0.507469i | |||||
2.73597 | 0.283707 | |||||||||
7.21649 | − | 11.8411i | 0.744325 | − | 1.22132i | |||||
−10.7220 | −1.10005 | |||||||||
1.65060 | + | 3.85107i | 0.168463 | + | 0.393048i | |||||
7.32624 | 0.743867 | 0.371933 | − | 0.928259i | ||||||
0.371933 | + | 0.928259i | ||||||||
−5.25122 | − | 3.20032i | −0.530454 | − | 0.323281i | |||||
0 | 0 | |||||||||
−2.91668 | − | 5.65578i | −0.291668 | − | 0.565578i | |||||
9.57267i | 0.952516i | 0.879306 | + | 0.476258i | ||||||
−0.879306 | + | 0.476258i | ||||||||
−0.0625809 | − | 0.0381395i | −0.00619643 | − | 0.00377637i | |||||
− | 10.3215i | − | 1.01701i | −0.861060 | − | 0.508503i | ||||
0.861060 | − | 0.508503i | ||||||||
−10.0359 | − | 0.715824i | −0.984099 | − | 0.0701924i | |||||
1.62631i | 0.158712i | |||||||||
−4.69480 | − | 2.86121i | −0.455999 | − | 0.277906i | |||||
−11.0772 | −1.07087 | −0.535435 | − | 0.844577i | ||||||
−0.535435 | + | 0.844577i | ||||||||
7.17726 | − | 3.70131i | 0.690632 | − | 0.356158i | |||||
8.95933i | 0.858149i | 0.903269 | + | 0.429074i | ||||||
−0.903269 | + | 0.429074i | ||||||||
0 | 0 | |||||||||
5.09482i | 0.483579i | |||||||||
−3.77682 | + | 5.30670i | −0.356875 | + | 0.501436i | |||||
11.0231 | 1.03696 | 0.518481 | − | 0.855089i | ||||||
0.518481 | + | 0.855089i | ||||||||
4.33453 | − | 7.11228i | 0.405966 | − | 0.666126i | |||||
7.15991i | 0.667665i | |||||||||
−6.99697 | + | 3.60834i | −0.649653 | + | 0.335026i | |||||
8.72020i | 0.806183i | |||||||||
3.57802 | − | 5.87096i | 0.329383 | − | 0.540466i | |||||
− | 0.113930i | − | 0.0104439i | |||||||
−2.81770 | − | 0.200977i | −0.257219 | − | 0.0183466i | |||||
0 | 0 | |||||||||
−0.990640 | + | 1.62548i | −0.0896883 | + | 0.147164i | |||||
−4.28573 | −0.386432 | |||||||||
−6.56608 | + | 3.38612i | −0.589651 | + | 0.304083i | |||||
11.0324 | 0.986770 | |||||||||
4.82055 | + | 2.93785i | 0.429449 | + | 0.261725i | |||||
−10.2923 | −0.913298 | −0.456649 | − | 0.889647i | ||||||
−0.456649 | + | 0.889647i | ||||||||
−8.72748 | − | 7.19938i | −0.771408 | − | 0.636341i | |||||
− | 1.40370i | − | 0.123589i | |||||||
3.53019 | − | 5.79249i | 0.309618 | − | 0.508035i | |||||
1.86768 | 0.163180 | 0.0815901 | − | 0.996666i | ||||||
0.0815901 | + | 0.996666i | ||||||||
0 | 0 | |||||||||
12.9480 | 1.12274 | |||||||||
−3.61587 | + | 5.93307i | −0.312363 | + | 0.512539i | |||||
5.44452i | 0.468589i | |||||||||
0.197391 | + | 0.0140792i | 0.0169261 | + | 0.00120728i | |||||
−1.25447 | −0.107177 | −0.0535885 | − | 0.998563i | ||||||
−0.0535885 | + | 0.998563i | ||||||||
−4.74944 | − | 2.89451i | −0.404299 | − | 0.246397i | |||||
6.29114 | 0.533608 | 0.266804 | − | 0.963751i | ||||||
0.266804 | + | 0.963751i | ||||||||
−2.01277 | − | 3.90300i | −0.170111 | − | 0.329864i | |||||
−7.26259 | −0.611620 | |||||||||
5.13384 | − | 8.42382i | 0.430822 | − | 0.706912i | |||||
0 | 0 | |||||||||
−5.68574 | + | 7.98888i | −0.473812 | + | 0.665740i | |||||
− | 5.30776i | − | 0.440785i | |||||||
7.44967 | − | 12.2237i | 0.616539 | − | 1.01164i | |||||
3.22076i | 0.265644i | |||||||||
−6.30550 | − | 12.2271i | −0.518309 | − | 1.00506i | |||||
− | 17.1557i | − | 1.40545i | −0.711462 | − | 0.702724i | ||||
0.711462 | − | 0.702724i | ||||||||
−1.73445 | + | 2.84595i | −0.141617 | + | 0.232371i | |||||
−12.1583 | −0.989428 | −0.494714 | − | 0.869056i | ||||||
−0.494714 | + | 0.869056i | ||||||||
−1.60009 | + | 22.4334i | −0.129785 | + | 1.81959i | |||||
− | 0.171513i | − | 0.0138660i | |||||||
0 | 0 | |||||||||
− | 4.98089i | − | 0.400074i | |||||||
2.41524 | + | 4.68342i | 0.193374 | + | 0.374974i | |||||
−5.30173 | −0.423124 | −0.211562 | − | 0.977365i | ||||||
−0.211562 | + | 0.977365i | ||||||||
−7.25121 | − | 4.41920i | −0.576876 | − | 0.351573i | |||||
2.87949i | 0.228358i | |||||||||
7.01095 | − | 3.00494i | 0.554264 | − | 0.237562i | |||||
− | 8.64644i | − | 0.681435i | |||||||
5.26951 | + | 3.21147i | 0.414012 | + | 0.252317i | |||||
− | 10.0576i | − | 0.787768i | −0.919160 | − | 0.393884i | ||||
0.919160 | − | 0.393884i | ||||||||
10.2854 | − | 5.30415i | 0.803152 | − | 0.414185i | |||||
0 | 0 | |||||||||
−4.36183 | − | 2.65829i | −0.338544 | − | 0.206323i | |||||
21.9076 | 1.69526 | 0.847632 | − | 0.530585i | ||||||
0.847632 | + | 0.530585i | ||||||||
3.40270 | + | 0.242703i | 0.262524 | + | 0.0187249i | |||||
0.346084 | 0.0266219 | |||||||||
−0.0694337 | + | 0.113930i | −0.00532532 | + | 0.00873801i | |||||
19.4924 | 1.49062 | |||||||||
1.73726 | + | 3.36874i | 0.132465 | + | 0.256864i | |||||
11.8322i | 0.899586i | 0.893133 | + | 0.449793i | ||||||
−0.893133 | + | 0.449793i | ||||||||
3.52083 | + | 2.14575i | 0.266914 | + | 0.162669i | |||||
−5.18111 | −0.391655 | |||||||||
0 | 0 | |||||||||
−3.60087 | −0.270658 | |||||||||
−6.51765 | − | 3.97214i | −0.488518 | − | 0.297724i | |||||
− | 0.933676i | − | 0.0697862i | −0.999391 | − | 0.0348931i | ||||
0.999391 | − | 0.0348931i | ||||||||
−3.03010 | − | 5.87570i | −0.225850 | − | 0.437949i | |||||
18.8395 | 1.40033 | 0.700163 | − | 0.713983i | ||||||
0.700163 | + | 0.713983i | ||||||||
−4.26313 | + | 6.99512i | −0.316004 | + | 0.518513i | |||||
0.996967 | 0.0736979 | |||||||||
14.9805 | + | 1.06851i | 1.10438 | + | 0.0787716i | |||||
9.27521 | 0.681927 | |||||||||
3.30401 | + | 2.01361i | 0.242262 | + | 0.147645i | |||||
0 | 0 | |||||||||
17.4295 | − | 8.98840i | 1.27118 | − | 0.655547i | |||||
− | 6.57490i | − | 0.478253i | |||||||
−12.9480 | − | 7.89110i | −0.939350 | − | 0.572480i | |||||
20.4441i | 1.47928i | 0.673001 | + | 0.739641i | ||||||
−0.673001 | + | 0.739641i | ||||||||
−0.840998 | + | 5.86542i | −0.0606938 | + | 0.423300i | |||||
17.3409i | 1.24823i | 0.781333 | + | 0.624114i | ||||||
−0.781333 | + | 0.624114i | ||||||||
8.84730 | + | 5.39192i | 0.635199 | + | 0.387118i | |||||
−3.55274 | −0.254417 | |||||||||
−3.98612 | − | 7.72953i | −0.284723 | − | 0.552110i | |||||
3.49133i | 0.248747i | 0.992235 | + | 0.124374i | ||||||
−0.992235 | + | 0.124374i | ||||||||
0 | 0 | |||||||||
11.2660i | 0.798625i | 0.916815 | + | 0.399313i | ||||||
−0.916815 | + | 0.399313i | ||||||||
0.640271 | − | 8.97663i | 0.0452740 | − | 0.634743i | |||||
3.63896 | 0.256673 | |||||||||
−7.04524 | + | 11.5601i | −0.495701 | + | 0.813368i | |||||
6.40974i | 0.449876i | |||||||||
−0.0475041 | − | 0.0921159i | −0.00332595 | − | 0.00644940i | |||||
7.80226i | 0.544933i | |||||||||
7.59635 | − | 12.4644i | 0.529263 | − | 0.868436i | |||||
− | 13.0166i | − | 0.904718i | |||||||
−11.5927 | − | 8.25060i | −0.803808 | − | 0.572076i | |||||
0 | 0 | |||||||||
−1.19693 | + | 1.96397i | −0.0825957 | + | 0.135526i | |||||
2.74295 | 0.188833 | 0.0944163 | − | 0.995533i | ||||||
0.0944163 | + | 0.995533i | ||||||||
−3.56375 | − | 6.91051i | −0.244759 | − | 0.474616i | |||||
−5.16663 | −0.354012 | |||||||||
−13.3770 | − | 8.15251i | −0.914431 | − | 0.557294i | |||||
−2.55546 | −0.174281 | |||||||||
11.3915 | + | 0.812513i | 0.775090 | + | 0.0552845i | |||||
6.01501i | 0.408325i | |||||||||
−6.59384 | + | 10.8195i | −0.446591 | + | 0.732786i | |||||
−7.49726 | −0.506618 | |||||||||
0 | 0 | |||||||||
0.248884 | 0.0167417 | |||||||||
−3.74966 | + | 6.15259i | −0.251660 | + | 0.412935i | |||||
23.7258i | 1.58880i | 0.607398 | + | 0.794398i | ||||||
−0.607398 | + | 0.794398i | ||||||||
−8.46655 | + | 3.62882i | −0.565695 | + | 0.242461i | |||||
−7.79981 | −0.519988 | |||||||||
13.3117 | + | 8.11270i | 0.885478 | + | 0.539649i | |||||
0.800839 | 0.0531536 | 0.0265768 | − | 0.999647i | ||||||
0.0265768 | + | 0.999647i | ||||||||
10.4689 | − | 5.39881i | 0.693321 | − | 0.357545i | |||||
−23.5889 | −1.55880 | −0.779401 | − | 0.626526i | ||||||
−0.779401 | + | 0.626526i | ||||||||
−5.26951 | + | 8.64644i | −0.347461 | + | 0.570129i | |||||
0 | 0 | |||||||||
−11.1053 | − | 0.792103i | −0.729100 | − | 0.0520041i | |||||
− | 17.4915i | − | 1.14591i | −0.819588 | − | 0.572953i | ||||
0.819588 | − | 0.572953i | ||||||||
−6.41785 | + | 10.5307i | −0.419548 | + | 0.688412i | |||||
13.2217i | 0.862487i | |||||||||
8.64176 | − | 4.45655i | 0.562531 | − | 0.290097i | |||||
4.44743i | 0.288892i | |||||||||
0.0838493 | − | 0.137584i | 0.00543515 | − | 0.00891822i | |||||
−6.68497 | −0.432415 | −0.216207 | − | 0.976347i | ||||||
−0.216207 | + | 0.976347i | ||||||||
−3.25479 | − | 2.31646i | −0.210096 | − | 0.149527i | |||||
− | 4.28655i | − | 0.276121i | −0.990424 | − | 0.138061i | ||||
0.990424 | − | 0.138061i | ||||||||
0 | 0 | |||||||||
− | 15.3451i | − | 0.984391i | |||||||
−2.39263 | + | 1.23388i | −0.153172 | + | 0.0789909i | |||||
5.86346 | 0.374603 | |||||||||
−5.17553 | − | 3.15419i | −0.329980 | − | 0.201104i | |||||
28.2855i | 1.79976i | |||||||||
−10.4214 | − | 0.743323i | −0.661760 | − | 0.0472010i | |||||
2.67527i | 0.169538i | |||||||||
13.3230 | + | 8.11959i | 0.842618 | + | 0.513528i | |||||
4.89768i | 0.309139i | 0.987982 | + | 0.154569i | ||||||
−0.987982 | + | 0.154569i | ||||||||
3.65920 | + | 7.09560i | 0.230508 | + | 0.446981i | |||||
0 | 0 | |||||||||
−12.4292 | − | 7.57491i | −0.779879 | − | 0.475292i | |||||
0.0698772 | 0.00437588 | |||||||||
−5.24091 | − | 15.1173i | −0.327557 | − | 0.944832i | |||||
−12.3843 | −0.772511 | −0.386256 | − | 0.922392i | ||||||
−0.386256 | + | 0.922392i | ||||||||
1.03309 | − | 1.69513i | 0.0643171 | − | 0.105534i | |||||
−11.2009 | −0.695991 | |||||||||
8.52625 | − | 4.39698i | 0.528776 | − | 0.272689i | |||||
9.64944i | 0.597285i | |||||||||
2.25545 | + | 1.37457i | 0.139342 | + | 0.0849211i | |||||
−16.9489 | −1.04511 | −0.522556 | − | 0.852605i | ||||||
−0.522556 | + | 0.852605i | ||||||||
0 | 0 | |||||||||
5.24217 | 0.322024 | |||||||||
15.6363 | + | 9.52943i | 0.958722 | + | 0.584287i | |||||
3.99751i | 0.244644i | |||||||||
−8.73318 | + | 4.50369i | −0.533464 | + | 0.275107i | |||||
3.95476 | 0.241126 | 0.120563 | − | 0.992706i | ||||||
0.120563 | + | 0.992706i | ||||||||
−4.00703 | + | 6.57490i | −0.243860 | + | 0.400135i | |||||
23.7375 | 1.44195 | 0.720974 | − | 0.692962i | ||||||
0.720974 | + | 0.692962i | ||||||||
0.228011 | + | 0.162277i | 0.0138252 | + | 0.00983949i | |||||
4.29036 | 0.259664 | |||||||||
−1.51493 | − | 0.923261i | −0.0915200 | − | 0.0557763i | |||||
0 | 0 | |||||||||
−3.60522 | − | 6.99093i | −0.217009 | − | 0.420804i | |||||
15.0111i | 0.901928i | 0.892542 | + | 0.450964i | ||||||
−0.892542 | + | 0.450964i | ||||||||
7.59730 | + | 4.63012i | 0.455656 | + | 0.277696i | |||||
9.05519i | 0.542120i | |||||||||
0.441845 | − | 6.19468i | 0.0264053 | − | 0.370203i | |||||
5.74135i | 0.342500i | 0.985228 | + | 0.171250i | ||||||
−0.985228 | + | 0.171250i | ||||||||
−8.77043 | − | 5.34508i | −0.522272 | − | 0.318295i | |||||
11.1948 | 0.665460 | 0.332730 | − | 0.943022i | ||||||
0.332730 | + | 0.943022i | ||||||||
12.3994 | − | 6.39439i | 0.735771 | − | 0.379437i | |||||
7.94150i | 0.470414i | |||||||||
0 | 0 | |||||||||
− | 9.42215i | − | 0.556172i | |||||||
−12.7458 | + | 5.46295i | −0.751054 | + | 0.321907i | |||||
16.9951 | 0.999712 | |||||||||
3.90637 | − | 6.40974i | 0.229390 | − | 0.376393i | |||||
− | 5.42637i | − | 0.318099i | |||||||
17.9927 | − | 9.27883i | 1.05294 | − | 0.543003i | |||||
5.30290i | 0.309799i | 0.987930 | + | 0.154899i | ||||||
−0.987930 | + | 0.154899i | ||||||||
−2.37040 | + | 3.88945i | −0.138245 | + | 0.226838i | |||||
6.55546i | 0.381674i | |||||||||
1.38419 | − | 19.4063i | 0.0804542 | − | 1.12797i | |||||
0 | 0 | |||||||||
12.6261 | − | 20.7175i | 0.731413 | − | 1.20013i | |||||
18.8885 | 1.09235 | |||||||||
−4.18910 | + | 2.16032i | −0.241858 | + | 0.124726i | |||||
3.08602 | 0.177875 | |||||||||
−14.6826 | − | 8.94819i | −0.844887 | − | 0.514911i | |||||
7.09024 | 0.407324 | |||||||||
−18.4427 | + | 25.9133i | −1.05776 | + | 1.48623i | |||||
− | 1.81500i | − | 0.103926i | |||||||
0.126230 | − | 0.207123i | 0.00721606 | − | 0.0118404i | |||||
−2.27014 | −0.129564 | −0.0647820 | − | 0.997899i | ||||||
−0.0647820 | + | 0.997899i | ||||||||
0 | 0 | |||||||||
−7.64487 | −0.434901 | |||||||||
3.66581 | − | 6.01501i | 0.208204 | − | 0.341630i | |||||
− | 20.1665i | − | 1.14354i | −0.820414 | − | 0.571770i | ||||
0.820414 | − | 0.571770i | ||||||||
−0.530194 | + | 7.43333i | −0.0300163 | + | 0.420830i | |||||
1.54188 | 0.0871524 | 0.0435762 | − | 0.999050i | ||||||
0.0435762 | + | 0.999050i | ||||||||
−6.40247 | − | 3.90194i | −0.361312 | − | 0.220199i | |||||
−5.38258 | −0.303274 | |||||||||
−5.50428 | − | 10.6734i | −0.309640 | − | 0.600427i | |||||
−16.8622 | −0.947076 | −0.473538 | − | 0.880773i | ||||||
−0.473538 | + | 0.880773i | ||||||||
−2.11923 | + | 3.47732i | −0.118841 | + | 0.194999i | |||||
0 | 0 | |||||||||
10.6781 | + | 1.53105i | 0.596924 | + | 0.0855885i | |||||
8.20458i | 0.457935i | |||||||||
6.36356 | − | 10.4416i | 0.354627 | − | 0.581887i | |||||
− | 0.556334i | − | 0.0309552i | |||||||
4.00000 | + | 7.75646i | 0.222222 | + | 0.430914i | |||||
− | 11.3183i | − | 0.627828i | |||||||
7.40210 | − | 12.1457i | 0.409965 | − | 0.672687i | |||||
6.63596 | 0.366969 | |||||||||
16.3245 | + | 1.16437i | 0.901370 | + | 0.0642916i | |||||
− | 15.9667i | − | 0.880275i | |||||||
0 | 0 | |||||||||
33.9735i | 1.86735i | 0.358115 | + | 0.933677i | ||||||
−0.358115 | + | 0.933677i | ||||||||
−3.31099 | − | 6.42039i | −0.181714 | − | 0.352365i | |||||
−16.8622 | −0.924044 | |||||||||
26.4561 | + | 16.1235i | 1.44761 | + | 0.882237i | |||||
− | 6.62480i | − | 0.361952i | |||||||
3.93054 | + | 2.79739i | 0.214429 | + | 0.152610i | |||||
− | 17.0957i | − | 0.931262i | −0.884979 | − | 0.465631i | ||||
0.884979 | − | 0.465631i | ||||||||
0.417938 | + | 0.254709i | 0.0227328 | + | 0.0138544i | |||||
− | 8.16452i | − | 0.443436i | |||||||
−0.167699 | + | 0.0864821i | −0.00909474 | + | 0.00469015i | |||||
0 | 0 | |||||||||
23.5394 | + | 14.3459i | 1.27286 | + | 0.775738i | |||||
−18.4794 | −0.997794 | |||||||||
−0.381364 | + | 5.34674i | −0.0205618 | + | 0.288277i | |||||
5.30317 | 0.285513 | |||||||||
−8.70820 | + | 14.2888i | −0.468156 | + | 0.768170i | |||||
2.49909 | 0.134158 | 0.0670790 | − | 0.997748i | ||||||
0.0670790 | + | 0.997748i | ||||||||
2.67261 | + | 5.18249i | 0.143267 | + | 0.277810i | |||||
7.01126i | 0.375304i | 0.982236 | + | 0.187652i | ||||||
−0.982236 | + | 0.187652i | ||||||||
−6.25680 | − | 3.81317i | −0.334440 | − | 0.203822i | |||||
14.3631 | 0.766646 | |||||||||
0 | 0 | |||||||||
17.9431 | 0.955017 | 0.477509 | − | 0.878627i | ||||||
0.477509 | + | 0.878627i | ||||||||
−4.34848 | − | 2.65015i | −0.231119 | − | 0.140854i | |||||
9.40596i | 0.499216i | |||||||||
−4.94744 | − | 9.59365i | −0.262214 | − | 0.508462i | |||||
−0.0843849 | −0.00446612 | |||||||||
0.687162 | − | 1.12752i | 0.0363176 | − | 0.0595915i | |||||
−9.67947 | −0.510863 | −0.255431 | − | 0.966827i | ||||||
−0.255431 | + | 0.966827i | ||||||||
0.665168 | − | 9.32568i | 0.0350574 | − | 0.491506i | |||||
44.2270 | 2.32774 | |||||||||
22.7509 | + | 13.8654i | 1.19576 | + | 0.728748i | |||||
0 | 0 | |||||||||
−10.2965 | + | 5.30988i | −0.539681 | + | 0.278313i | |||||
13.6489i | 0.714416i | |||||||||
1.20396 | + | 0.733743i | 0.0629318 | + | 0.0383533i | |||||
− | 30.9471i | − | 1.61543i | −0.589575 | − | 0.807713i | ||||
0.589575 | − | 0.807713i | ||||||||
17.3044 | + | 12.3156i | 0.902053 | + | 0.641998i | |||||
− | 14.1844i | − | 0.738411i | |||||||
11.2009 | + | 6.82632i | 0.582308 | + | 0.354883i | |||||
−6.33054 | −0.328665 | |||||||||
2.50802 | + | 4.86333i | 0.130035 | + | 0.252152i | |||||
− | 4.92658i | − | 0.255088i | −0.991833 | − | 0.127544i | ||||
0.991833 | − | 0.127544i | ||||||||
0 | 0 | |||||||||
− | 8.17145i | − | 0.421972i | |||||||
27.6635 | + | 1.97314i | 1.42663 | + | 0.101757i | |||||
−14.0023 | −0.721157 | |||||||||
4.83896 | − | 7.93996i | 0.248889 | − | 0.408388i | |||||
− | 4.02515i | − | 0.206758i | −0.994642 | − | 0.103379i | ||||
0.994642 | − | 0.103379i | ||||||||
−9.82864 | − | 19.0589i | −0.504199 | − | 0.977699i | |||||
7.62329i | 0.390553i | |||||||||
−15.0463 | + | 24.6887i | −0.769837 | + | 1.26318i | |||||
11.9889i | 0.612604i | 0.951934 | + | 0.306302i | ||||||
−0.951934 | + | 0.306302i | ||||||||
−5.33240 | + | 6.46423i | −0.272118 | + | 0.329877i | |||||
0 | 0 | |||||||||
−12.7625 | + | 20.9412i | −0.649594 | + | 1.06588i | |||||
4.64579 | 0.236159 | |||||||||
6.71584 | + | 13.0228i | 0.340945 | + | 0.661131i | |||||
13.7371 | 0.696496 | 0.348248 | − | 0.937402i | ||||||
0.348248 | + | 0.937402i | ||||||||
−4.29036 | − | 2.61473i | −0.217251 | − | 0.132402i | |||||
−0.371508 | −0.0187880 | |||||||||
0.875034 | − | 12.2680i | 0.0441959 | − | 0.619628i | |||||
− | 1.38335i | − | 0.0697807i | |||||||
−2.56953 | + | 4.21619i | −0.129451 | + | 0.212409i | |||||
8.09663 | 0.407386 | |||||||||
0 | 0 | |||||||||
−12.1547 | −0.610027 | −0.305014 | − | 0.952348i | ||||||
−0.305014 | + | 0.952348i | ||||||||
−8.29149 | + | 13.6050i | −0.415615 | + | 0.681958i | |||||
− | 9.59030i | − | 0.480115i | |||||||
7.37977 | − | 10.3691i | 0.368989 | − | 0.518456i | |||||
−28.7805 | −1.43723 | −0.718614 | − | 0.695409i | ||||||
−0.718614 | + | 0.695409i | ||||||||
4.39448 | + | 2.67819i | 0.219177 | + | 0.133576i | |||||
−13.1400 | −0.654551 | |||||||||
−17.0159 | + | 8.77510i | −0.846574 | + | 0.436578i | |||||
−5.88388 | −0.292373 | |||||||||
−4.71741 | + | 7.74052i | −0.234121 | + | 0.384156i | |||||
0 | 0 | |||||||||
0.0104281 | − | 0.146203i | 0.000516269 | − | 0.00723811i | |||||
− | 18.9552i | − | 0.937276i | −0.883390 | − | 0.468638i | ||||
0.883390 | − | 0.468638i | ||||||||
−5.74226 | + | 9.42215i | −0.283590 | + | 0.465327i | |||||
0.929159i | 0.0458320i | |||||||||
18.3470 | − | 9.46152i | 0.903891 | − | 0.466136i | |||||
− | 7.91649i | − | 0.389545i | |||||||
9.57991 | − | 15.7191i | 0.470827 | − | 0.772552i | |||||
4.87038 | 0.239077 | |||||||||
−7.92731 | − | 18.4955i | −0.388668 | − | 0.906816i | |||||
− | 4.65970i | − | 0.228186i | |||||||
0 | 0 | |||||||||
− | 15.3705i | − | 0.750898i | −0.926843 | − | 0.375449i | ||||
0.926843 | − | 0.375449i | ||||||||
−2.89086 | + | 1.49081i | −0.141059 | + | 0.0727442i | |||||
19.3208 | 0.941640 | 0.470820 | − | 0.882229i | ||||||
0.470820 | + | 0.882229i | ||||||||
3.31244 | + | 2.01874i | 0.161247 | + | 0.0982709i | |||||
− | 24.0369i | − | 1.16871i | |||||||
0.782315 | − | 10.9681i | 0.0379926 | − | 0.532657i | |||||
0.222615i | 0.0107984i | |||||||||
−6.23932 | − | 3.80251i | −0.302296 | − | 0.184232i | |||||
2.19182i | 0.106070i | |||||||||
−10.1542 | − | 19.6902i | −0.490824 | − | 0.951763i | |||||
0 | 0 | |||||||||
−3.08602 | − | 1.88075i | −0.148821 | − | 0.0906980i | |||||
−27.1040 | −1.30555 | −0.652777 | − | 0.757550i | ||||||
−0.652777 | + | 0.757550i | ||||||||
13.1585 | + | 9.36502i | 0.633090 | + | 0.450575i | |||||
4.35614 | 0.209343 | 0.104671 | − | 0.994507i | ||||||
0.104671 | + | 0.994507i | ||||||||
−4.42689 | + | 7.26383i | −0.212498 | + | 0.348675i | |||||
−3.93133 | −0.188493 | |||||||||
−15.9257 | + | 8.21287i | −0.762702 | + | 0.393325i | |||||
− | 42.2217i | − | 2.01974i | |||||||
−9.05382 | − | 5.51779i | −0.432608 | − | 0.263650i | |||||
24.0996 | 1.15021 | 0.575105 | − | 0.818080i | ||||||
0.575105 | + | 0.818080i | ||||||||
0 | 0 | |||||||||
−10.6597 | −0.507605 | |||||||||
0.300556 | + | 0.183172i | 0.0142960 | + | 0.00871261i | |||||
− | 23.0448i | − | 1.09489i | −0.836841 | − | 0.547446i | ||||
0.836841 | − | 0.547446i | ||||||||
−9.05630 | + | 4.67033i | −0.429793 | + | 0.221644i | |||||
7.27754 | 0.344989 | |||||||||
−17.4616 | + | 28.6517i | −0.826829 | + | 1.35670i | |||||
−12.7068 | −0.601011 | |||||||||
−12.8951 | − | 1.84893i | −0.609235 | − | 0.0873536i | |||||
−3.77349 | −0.178082 | −0.0890409 | − | 0.996028i | ||||||
−0.0890409 | + | 0.996028i | ||||||||
−9.41920 | − | 5.74046i | −0.444025 | − | 0.270608i | |||||
0 | 0 | |||||||||
10.1047 | + | 19.5941i | 0.475283 | + | 0.921628i | |||||
9.00535i | 0.423108i | |||||||||
0.967108 | + | 0.589397i | 0.0453886 | + | 0.0276618i | |||||
− | 7.81068i | − | 0.366170i | |||||||
16.6158 | + | 1.18515i | 0.778108 | + | 0.0554997i | |||||
35.2571i | 1.64926i | 0.565674 | + | 0.824629i | ||||||
−0.565674 | + | 0.824629i | ||||||||
−28.4864 | − | 17.3609i | −1.33108 | − | 0.811220i | |||||
−0.282501 | −0.0131860 | |||||||||
−12.7271 | + | 6.56337i | −0.593405 | + | 0.306019i | |||||
38.5074i | 1.79347i | 0.442571 | + | 0.896734i | ||||||
−0.442571 | + | 0.896734i | ||||||||
0 | 0 | |||||||||
− | 10.7672i | − | 0.500394i | −0.968195 | − | 0.250197i | ||||
0.968195 | − | 0.250197i | ||||||||
−12.8280 | − | 9.12979i | −0.595525 | − | 0.423840i | |||||
−3.68922 | −0.171084 | |||||||||
12.8733 | − | 21.1231i | 0.596344 | − | 0.978507i | |||||
− | 20.6799i | − | 0.956950i | −0.878101 | − | 0.478475i | ||||
0.878101 | − | 0.478475i | ||||||||
−15.5006 | + | 7.99366i | −0.716516 | + | 0.369507i | |||||
8.00023i | 0.369416i | |||||||||
−9.73082 | + | 15.9667i | −0.448849 | + | 0.736491i | |||||
3.92686i | 0.180940i | |||||||||
13.7159 | + | 0.978304i | 0.631323 | + | 0.0450301i | |||||
0 | 0 | |||||||||
−3.27320 | + | 5.37080i | −0.150343 | + | 0.246689i | |||||
−25.3000 | −1.16085 | |||||||||
0.202516 | − | 0.104437i | 0.00928230 | − | 0.00478688i | |||||
−9.53019 | −0.436358 | |||||||||
−8.07289 | − | 4.91997i | −0.369245 | − | 0.225034i | |||||
11.4138 | 0.521511 | 0.260756 | − | 0.965405i | ||||||
0.260756 | + | 0.965405i | ||||||||
−2.22569 | − | 5.19284i | −0.101588 | − | 0.237019i | |||||
− | 24.4688i | − | 1.11568i | |||||||
3.15479 | − | 5.17652i | 0.143697 | − | 0.235784i | |||||
−6.40421 | −0.291401 | |||||||||
0 | 0 | |||||||||
−9.87880 | −0.448573 | |||||||||
11.2936 | − | 18.5311i | 0.512290 | − | 0.840586i | |||||
− | 4.00496i | − | 0.181482i | −0.995875 | − | 0.0907410i | ||||
0.995875 | − | 0.0907410i | ||||||||
−3.79748 | − | 0.270861i | −0.171904 | − | 0.0122613i | |||||
−7.44938 | −0.336873 | |||||||||
7.08082 | + | 4.31536i | 0.319879 | + | 0.194948i | |||||
−11.1940 | −0.505179 | −0.252589 | − | 0.967574i | ||||||
−0.252589 | + | 0.967574i | ||||||||
−3.92866 | − | 7.61812i | −0.177118 | − | 0.343451i | |||||
0.275405 | 0.0124036 | |||||||||
−20.8174 | + | 34.1581i | −0.936619 | + | 1.53684i | |||||
0 | 0 | |||||||||
−12.0380 | − | 8.56754i | −0.540523 | − | 0.384694i | |||||
− | 11.3588i | − | 0.509512i | |||||||
−1.96893 | + | 3.23070i | −0.0882298 | + | 0.144771i | |||||
− | 39.3656i | − | 1.76224i | −0.472888 | − | 0.881122i | ||||
0.472888 | − | 0.881122i | ||||||||
10.1132 | + | 19.6107i | 0.452278 | + | 0.877018i | |||||
− | 16.2265i | − | 0.724944i | |||||||
−3.60456 | + | 5.91452i | −0.160880 | + | 0.263978i | |||||
19.3369 | 0.862191 | 0.431096 | − | 0.902306i | ||||||
0.431096 | + | 0.902306i | ||||||||
−0.803269 | + | 11.2619i | −0.0357804 | + | 0.501643i | |||||
− | 12.9079i | − | 0.574395i | |||||||
0 | 0 | |||||||||
− | 0.256336i | − | 0.0113843i | |||||||
−9.43482 | − | 18.2952i | −0.418602 | − | 0.811718i | |||||
−42.9965 | −1.90579 | −0.952893 | − | 0.303306i | ||||||
−0.952893 | + | 0.303306i | ||||||||
0.0843849 | + | 0.0514278i | 0.00373663 | + | 0.00227726i | |||||
− | 16.4827i | − | 0.729150i | |||||||
4.79694 | − | 22.1131i | 0.211997 | − | 0.977270i | |||||
− | 32.1061i | − | 1.41752i | |||||||
−14.9555 | − | 9.11453i | −0.659659 | − | 0.402025i | |||||
13.9176i | 0.613284i | |||||||||
2.49515 | − | 1.28675i | 0.109843 | − | 0.0566458i | |||||
0 | 0 | |||||||||
−13.5264 | − | 8.24359i | −0.594317 | − | 0.362202i | |||||
8.76383 | 0.384689 | |||||||||
13.5325 | + | 0.965228i | 0.593440 | + | 0.0423280i | |||||
−14.7313 | −0.645389 | −0.322694 | − | 0.946503i | ||||||
−0.322694 | + | 0.946503i | ||||||||
−7.10174 | + | 11.6528i | −0.310835 | + | 0.510031i | |||||
−40.4528 | −1.76888 | −0.884440 | − | 0.466655i | ||||||
−0.884440 | + | 0.466655i | ||||||||
1.71207 | + | 3.31991i | 0.0747923 | + | 0.145031i | |||||
3.83752i | 0.167483i | |||||||||
−20.4677 | − | 12.4739i | −0.892436 | − | 0.543889i | |||||
0.258445 | 0.0112580 | |||||||||
0 | 0 | |||||||||
−5.19479 | −0.225860 | |||||||||
6.33054 | + | 3.85810i | 0.274981 | + | 0.167585i | |||||
− | 11.9177i | − | 0.517186i | |||||||
11.8692 | + | 23.0158i | 0.514597 | + | 0.997862i | |||||
20.5830 | 0.891551 | |||||||||
−2.94206 | + | 4.82746i | −0.127316 | + | 0.208905i | |||||
14.9366 | 0.645765 | |||||||||
−13.8609 | − | 0.988653i | −0.598702 | − | 0.0427033i | |||||
−0.691551 | −0.0298426 | |||||||||
4.77584 | + | 2.91060i | 0.205901 | + | 0.125485i | |||||
0 | 0 | |||||||||
−9.67791 | + | 4.99089i | −0.416471 | + | 0.214774i | |||||
16.7350i | 0.719496i | 0.933050 | + | 0.359748i | ||||||
−0.933050 | + | 0.359748i | ||||||||
28.6658 | + | 17.4702i | 1.23130 | + | 0.750408i | |||||
− | 13.9539i | − | 0.598821i | |||||||
0.155918 | + | 0.363779i | 0.00668494 | + | 0.0155969i | |||||
− | 12.0809i | − | 0.517489i | |||||||
5.18111 | + | 3.15759i | 0.221731 | + | 0.135133i | |||||
9.29004 | 0.397214 | 0.198607 | − | 0.980079i | ||||||
0.198607 | + | 0.980079i | ||||||||
−1.14996 | − | 2.22989i | −0.0491237 | − | 0.0952564i | |||||
3.29964i | 0.140825i | |||||||||
0 | 0 | |||||||||
31.2996i | 1.33341i | |||||||||
0.791419 | − | 11.0957i | 0.0336850 | − | 0.472265i | |||||
−9.77764 | −0.415787 | |||||||||
−11.0478 | + | 18.1276i | −0.469375 | + | 0.770170i | |||||
− | 6.86992i | − | 0.291612i | |||||||
5.76698 | + | 11.1828i | 0.244575 | + | 0.474258i | |||||
13.2620i | 0.561928i | 0.959718 | + | 0.280964i | ||||||
−0.959718 | + | 0.280964i | ||||||||
−6.66439 | + | 10.9352i | −0.282126 | + | 0.462924i | |||||
6.74153i | 0.285136i | |||||||||
5.09271 | − | 7.15563i | 0.215206 | − | 0.302380i | |||||
0 | 0 | |||||||||
−4.22549 | + | 6.93336i | −0.178241 | + | 0.292466i | |||||
−23.5044 | −0.990594 | −0.495297 | − | 0.868724i | ||||||
−0.495297 | + | 0.868724i | ||||||||
−6.65749 | − | 12.9096i | −0.280331 | − | 0.543594i | |||||
−14.8637 | −0.625319 | |||||||||
13.5190 | + | 8.23907i | 0.568246 | + | 0.346314i | |||||
7.10549 | 0.298402 | |||||||||
19.6799 | + | 1.40370i | 0.825750 | + | 0.0588979i | |||||
12.8798i | 0.539950i | 0.962867 | + | 0.269975i | ||||||
−0.962867 | + | 0.269975i | ||||||||
−5.84474 | + | 9.59030i | −0.244809 | + | 0.401693i | |||||
20.4261 | 0.854806 | 0.427403 | − | 0.904061i | ||||||
0.427403 | + | 0.904061i | ||||||||
0 | 0 | |||||||||
15.1424 | 0.632585 | |||||||||
6.93446 | − | 11.3784i | 0.289439 | − | 0.474923i | |||||
16.8949i | 0.704564i | |||||||||
−19.4127 | − | 2.78344i | −0.808861 | − | 0.115976i | |||||
6.84506 | 0.284963 | 0.142482 | − | 0.989797i | ||||||
0.142482 | + | 0.989797i | ||||||||
20.5236 | + | 12.5080i | 0.853669 | + | 0.520263i | |||||
12.8440 | 0.533779 | |||||||||
9.43482 | − | 4.86553i | 0.391759 | − | 0.202030i | |||||
−5.88155 | −0.244008 | |||||||||
3.99367 | − | 6.55298i | 0.165543 | − | 0.271630i | |||||
0 | 0 | |||||||||
28.5573 | + | 2.03689i | 1.18171 | + | 0.0842873i | |||||
− | 11.7584i | − | 0.486152i | |||||||
−3.90280 | + | 6.40388i | −0.161223 | + | 0.264542i | |||||
− | 0.638798i | − | 0.0263660i | −0.999913 | − | 0.0131830i | ||||
0.999913 | − | 0.0131830i | ||||||||
−5.72508 | + | 2.95242i | −0.236098 | + | 0.121756i | |||||
29.3721i | 1.21026i | |||||||||
−4.82465 | + | 7.91649i | −0.198628 | + | 0.325917i | |||||
2.58594 | 0.106372 | |||||||||
15.9541 | − | 22.4167i | 0.655711 | − | 0.921321i | |||||
− | 17.0480i | − | 0.700077i | −0.936735 | − | 0.350039i | ||||
0.936735 | − | 0.350039i | ||||||||
0 | 0 | |||||||||
0.153624i | 0.00629799i | |||||||||
30.4951 | − | 15.7263i | 1.24913 | − | 0.644175i | |||||
8.34445 | 0.341516 | |||||||||
22.8101 | + | 13.9014i | 0.932773 | + | 0.568472i | |||||
− | 1.98468i | − | 0.0810916i | −0.999178 | − | 0.0405458i | ||||
0.999178 | − | 0.0405458i | ||||||||
−6.64877 | − | 0.474233i | −0.271435 | − | 0.0193605i | |||||
16.4628i | 0.671532i | 0.941945 | + | 0.335766i | ||||||
−0.941945 | + | 0.335766i | ||||||||
3.72673 | + | 2.27123i | 0.151890 | + | 0.0925685i | |||||
12.0438i | 0.490462i | |||||||||
−11.1453 | − | 21.6120i | −0.453496 | − | 0.879380i | |||||
0 | 0 | |||||||||
8.56231 | + | 5.21824i | 0.347820 | + | 0.211976i | |||||
28.7204 | 1.16573 | 0.582863 | − | 0.812571i | ||||||
0.582863 | + | 0.812571i | ||||||||
−41.3432 | + | 17.7200i | −1.67669 | + | 0.718642i | |||||
4.74754 | 0.192380 | |||||||||
1.33579 | − | 2.19182i | 0.0540847 | − | 0.0887444i | |||||
34.8800 | 1.41109 | |||||||||
0.304874 | − | 0.157223i | 0.0123238 | − | 0.00635538i | |||||
− | 6.65378i | − | 0.268744i | −0.990931 | − | 0.134372i | ||||
0.990931 | − | 0.134372i | ||||||||
−2.74147 | − | 1.67077i | −0.110637 | − | 0.0674267i | |||||
5.77894 | 0.233029 | |||||||||
0 | 0 | |||||||||
−17.8948 | −0.720416 | −0.360208 | − | 0.932872i | ||||||
−0.360208 | + | 0.932872i | ||||||||
−9.23208 | − | 5.62643i | −0.371369 | − | 0.226328i | |||||
− | 23.2378i | − | 0.934007i | −0.884256 | − | 0.467003i | ||||
0.884256 | − | 0.467003i | ||||||||
8.85379 | − | 4.56589i | 0.355577 | − | 0.183371i | |||||
−21.4398 | −0.860349 | |||||||||
14.8421 | − | 24.3535i | 0.595112 | − | 0.976485i | |||||
−8.78849 | −0.352103 | |||||||||
−6.11102 | + | 8.58642i | −0.244636 | + | 0.343732i | |||||
1.03262 | 0.0413048 | |||||||||
1.86201 | + | 1.13479i | 0.0744208 | + | 0.0453552i | |||||
0 | 0 | |||||||||
−4.86001 | − | 9.42411i | −0.193935 | − | 0.376063i | |||||
0.481265i | 0.0191893i | |||||||||
−6.50010 | − | 3.96144i | −0.258970 | − | 0.157828i | |||||
46.3216i | 1.84404i | 0.387148 | + | 0.922018i | ||||||
−0.387148 | + | 0.922018i | ||||||||
1.20830 | − | 16.9404i | 0.0480636 | − | 0.673854i | |||||
− | 2.03164i | − | 0.0807503i | |||||||
−20.3631 | − | 12.4102i | −0.808723 | − | 0.492871i | |||||
13.8783 | 0.550745 | |||||||||
−5.11845 | + | 2.63958i | −0.202960 | + | 0.104666i | |||||
− | 15.4683i | − | 0.612877i | |||||||
0 | 0 | |||||||||
− | 17.0999i | − | 0.676462i | |||||||
11.7683 | + | 9.70774i | 0.465181 | + | 0.383732i | |||||
27.1756 | 1.07337 | 0.536687 | − | 0.843782i | ||||||
0.536687 | + | 0.843782i | ||||||||
−6.03836 | + | 9.90800i | −0.238315 | + | 0.391038i | |||||
31.0236i | 1.22345i | 0.791069 | + | 0.611726i | ||||||
−0.791069 | + | 0.611726i | ||||||||
15.3695 | − | 7.92604i | 0.605643 | − | 0.312330i | |||||
1.89277i | 0.0745276i | |||||||||
0.409447 | − | 0.671838i | 0.0161095 | − | 0.0264331i | |||||
− | 42.1713i | − | 1.65793i | −0.559303 | − | 0.828963i | ||||
0.559303 | − | 0.828963i | ||||||||
−0.878082 | + | 12.3107i | −0.0344943 | + | 0.483611i | |||||
0 | 0 | |||||||||
8.33001 | − | 13.6682i | 0.326730 | − | 0.536112i | |||||
4.45517 | 0.174612 | |||||||||
17.8778 | − | 9.21959i | 0.700150 | − | 0.361067i | |||||
−4.04757 | −0.158394 | −0.0791969 | − | 0.996859i | ||||||
−0.0791969 | + | 0.996859i | ||||||||
8.01371 | + | 4.88390i | 0.313361 | + | 0.190976i | |||||
−2.51841 | −0.0984025 | |||||||||
18.8568 | + | 13.4205i | 0.736235 | + | 0.523984i | |||||
− | 24.8135i | − | 0.968068i | |||||||
11.7511 | − | 19.2817i | 0.458106 | − | 0.751680i | |||||
−6.46292 | −0.251760 | −0.125880 | − | 0.992045i | ||||||
−0.125880 | + | 0.992045i | ||||||||
0 | 0 | |||||||||
26.6232 | 1.03552 | 0.517761 | − | 0.855525i | ||||||
0.517761 | + | 0.855525i | ||||||||
−25.0037 | + | 41.0271i | −0.971795 | + | 1.59456i | |||||
− | 0.184342i | − | 0.00715925i | |||||||
0.726831 | − | 10.1902i | 0.0282065 | − | 0.395456i | |||||
−17.4593 | −0.677043 | |||||||||
−20.3631 | − | 12.4102i | −0.789055 | − | 0.480884i | |||||
20.9012 | 0.809300 | |||||||||
20.0824 | + | 38.9420i | 0.777010 | + | 1.50671i | |||||
17.5731 | 0.679416 | |||||||||
4.87569 | − | 8.00023i | 0.188364 | − | 0.309076i | |||||
0 | 0 | |||||||||
2.68778 | + | 6.27096i | 0.103683 | + | 0.241908i | |||||
8.31993i | 0.320710i | 0.987059 | + | 0.160355i | ||||||
−0.987059 | + | 0.160355i | ||||||||
12.5820 | − | 20.6451i | 0.484641 | − | 0.795219i | |||||
12.8471i | 0.494486i | |||||||||
0.317250 | + | 0.615183i | 0.0122019 | + | 0.0236609i | |||||
− | 15.2629i | − | 0.586602i | −0.956020 | − | 0.293301i | ||||
0.956020 | − | 0.293301i | ||||||||
6.00888 | − | 9.85962i | 0.230769 | − | 0.378656i | |||||
11.9298 | 0.457824 | |||||||||
−0.266165 | − | 0.0189846i | −0.0102069 | − | 0.000728026i | |||||
− | 0.593162i | − | 0.0227300i | |||||||
0 | 0 | |||||||||
− | 32.9156i | − | 1.25948i | −0.776806 | − | 0.629740i | ||||
0.776806 | − | 0.629740i | ||||||||
17.8683 | + | 34.6488i | 0.683213 | + | 1.32483i | |||||
1.69155 | 0.0646308 | |||||||||
−22.3161 | − | 13.6004i | −0.852031 | − | 0.519265i | |||||
17.4718i | 0.666589i | |||||||||
−4.39560 | + | 6.17614i | −0.167581 | + | 0.235463i | |||||
− | 13.8293i | − | 0.526854i | |||||||
6.40421 | + | 3.90300i | 0.243804 | + | 0.148585i | |||||
45.5175i | 1.73157i | 0.500419 | + | 0.865783i | ||||||
−0.500419 | + | 0.865783i | ||||||||
−21.0324 | + | 10.8464i | −0.799531 | + | 0.412318i | |||||
0 | 0 | |||||||||
3.01794 | + | 1.83926i | 0.114559 | + | 0.0698175i | |||||
−8.48306 | −0.321781 | |||||||||
−0.586692 | + | 8.22544i | −0.0222385 | + | 0.311784i | |||||
−0.404838 | −0.0153343 | |||||||||
−5.16011 | + | 8.46693i | −0.195313 | + | 0.320478i | |||||
−12.9555 | −0.490023 | |||||||||
−4.74944 | − | 9.20970i | −0.179512 | − | 0.348094i | |||||
50.0843i | 1.89166i | 0.324665 | + | 0.945829i | ||||||
−0.324665 | + | 0.945829i | ||||||||
17.3452 | + | 10.5709i | 0.654651 | + | 0.398972i | |||||
−54.6955 | −2.06288 | |||||||||
0 | 0 | |||||||||
9.79298 | 0.368825 | |||||||||
21.6685 | + | 13.2057i | 0.815504 | + | 0.497003i | |||||
15.5878i | 0.586241i | |||||||||
−3.30086 | − | 6.40074i | −0.124054 | − | 0.240555i | |||||
−8.49866 | −0.319174 | −0.159587 | − | 0.987184i | ||||||
−0.159587 | + | 0.987184i | ||||||||
−6.92254 | + | 11.3588i | −0.259798 | + | 0.426288i | |||||
−14.7196 | −0.552027 | |||||||||
1.08606 | − | 15.2267i | 0.0407020 | − | 0.570643i | |||||
19.6141 | 0.734553 | |||||||||
−0.101905 | − | 0.0621052i | −0.00381369 | − | 0.00232423i | |||||
0 | 0 | |||||||||
1.65966 | − | 0.855885i | 0.0620243 | − | 0.0319859i | |||||
4.95139i | 0.184913i | |||||||||
−11.6891 | − | 7.12384i | −0.436233 | − | 0.265859i | |||||
7.29734i | 0.272145i | 0.990699 | + | 0.136072i | ||||||
−0.990699 | + | 0.136072i | ||||||||
7.66673 | − | 10.7723i | 0.285722 | − | 0.401460i | |||||
− | 16.8072i | − | 0.625932i | |||||||
53.4093 | + | 32.5499i | 1.98769 | + | 1.21138i | |||||
−3.17494 | −0.118077 | |||||||||
17.2698 | + | 33.4881i | 0.641828 | + | 1.24458i | |||||
− | 12.5244i | − | 0.465146i | |||||||
0 | 0 | |||||||||
− | 1.85004i | − | 0.0686140i | −0.999411 | − | 0.0343070i | ||||
0.999411 | − | 0.0343070i | ||||||||
−16.3421 | − | 1.16563i | −0.605679 | − | 0.0432010i | |||||
1.72491 | 0.0638855 | |||||||||
−10.0452 | + | 16.4827i | −0.371791 | + | 0.610050i | |||||
− | 0.132596i | − | 0.00490423i | |||||||
0.913903 | + | 1.77216i | 0.0337788 | + | 0.0655010i | |||||
18.8938i | 0.697857i | 0.937149 | + | 0.348928i | ||||||
−0.937149 | + | 0.348928i | ||||||||
22.7763 | − | 37.3723i | 0.840689 | − | 1.37944i | |||||
− | 4.34292i | − | 0.160191i | |||||||
11.8331 | + | 27.6082i | 0.436173 | + | 1.01765i | |||||
0 | 0 | |||||||||
10.4394 | − | 17.1293i | 0.384278 | − | 0.630540i | |||||
15.7186 | 0.578218 | 0.289109 | − | 0.957296i | ||||||
0.289109 | + | 0.957296i | ||||||||
8.50243 | + | 16.4872i | 0.312555 | + | 0.606081i | |||||
20.9504 | 0.769631 | |||||||||
−7.64487 | − | 4.65911i | −0.280652 | − | 0.171041i | |||||
5.80638 | 0.213015 | 0.106508 | − | 0.994312i | ||||||
0.106508 | + | 0.994312i | ||||||||
−0.550561 | + | 7.71888i | −0.0201845 | + | 0.282988i | |||||
23.1330i | 0.847526i | |||||||||
3.62583 | − | 5.94942i | 0.132751 | − | 0.217824i | |||||
−8.85428 | −0.323961 | |||||||||
0 | 0 | |||||||||
−18.0377 | −0.659083 | |||||||||
6.01398 | − | 9.86799i | 0.219599 | − | 0.360328i | |||||
3.00343i | 0.109597i | 0.998497 | + | 0.0547983i | ||||||
−0.998497 | + | 0.0547983i | ||||||||
31.9547 | + | 22.7424i | 1.16527 | + | 0.829330i | |||||
3.62759 | 0.132197 | |||||||||
−16.9095 | − | 10.3054i | −0.615806 | − | 0.375299i | |||||
16.3944 | 0.596654 | |||||||||
11.6872 | − | 6.02709i | 0.425060 | − | 0.219203i | |||||
−26.0871 | −0.948152 | −0.474076 | − | 0.880484i | ||||||
−0.474076 | + | 0.880484i | ||||||||
2.96241 | − | 4.86085i | 0.107600 | − | 0.176554i | |||||
0 | 0 | |||||||||
2.15759 | − | 30.2495i | 0.0782639 | − | 1.09726i | |||||
31.9526i | 1.15828i | 0.815228 | + | 0.579140i | ||||||
−0.815228 | + | 0.579140i | ||||||||
−5.61055 | + | 9.20602i | −0.203249 | + | 0.333499i | |||||
14.5891i | 0.528161i | |||||||||
−36.3405 | + | 18.7408i | −1.31475 | + | 0.678017i | |||||
0.231271i | 0.00836162i | |||||||||
−8.82353 | + | 14.4780i | −0.318807 | + | 0.523112i | |||||
17.2939 | 0.624446 | |||||||||
−11.1970 | + | 3.88181i | −0.404038 | + | 0.140073i | |||||
22.3560i | 0.806176i | 0.915161 | + | 0.403088i | ||||||
−0.915161 | + | 0.403088i | ||||||||
0 | 0 | |||||||||
9.17275i | 0.330348i | |||||||||
−30.8244 | + | 15.8961i | −1.10940 | + | 0.572115i | |||||
5.07704 | 0.182608 | 0.0913042 | − | 0.995823i | ||||||
0.0913042 | + | 0.995823i | ||||||||
5.61034 | + | 3.41919i | 0.201660 | + | 0.122900i | |||||
− | 11.7531i | − | 0.422185i | |||||||
−1.47426 | + | 20.6692i | −0.0529230 | + | 0.741982i | |||||
8.29624i | 0.297626i | |||||||||
16.5891 | + | 10.1101i | 0.594749 | + | 0.362465i | |||||
− | 46.0096i | − | 1.64846i | |||||||
−3.25674 | − | 6.31519i | −0.116610 | − | 0.226120i | |||||
0 | 0 | |||||||||
−0.448640 | − | 0.273421i | −0.0160433 | − | 0.00977750i | |||||
15.8937 | 0.567993 | |||||||||
10.0856 | − | 14.1711i | 0.360202 | − | 0.506109i | |||||
7.14893 | 0.255156 | |||||||||
1.01811 | − | 1.67056i | 0.0363147 | − | 0.0595867i | |||||
2.94375 | 0.104933 | 0.0524667 | − | 0.998623i | ||||||
0.0524667 | + | 0.998623i | ||||||||
−6.20602 | + | 3.20044i | −0.221080 | + | 0.114011i | |||||
12.5536i | 0.446920i | |||||||||
9.77764 | + | 5.95891i | 0.347873 | + | 0.212009i | |||||
17.9496 | 0.638215 | |||||||||
0 | 0 | |||||||||
−4.78812 | −0.170031 | |||||||||
−14.6782 | − | 8.94556i | −0.520911 | − | 0.317466i | |||||
− | 3.88275i | − | 0.137707i | |||||||
−20.0259 | + | 10.3273i | −0.709799 | + | 0.366043i | |||||
7.49194 | 0.265378 | 0.132689 | − | 0.991158i | ||||||
0.132689 | + | 0.991158i | ||||||||
7.05822 | − | 11.5814i | 0.249858 | − | 0.409978i | |||||
−0.686037 | −0.0242702 | |||||||||
16.5434 | − | 7.09060i | 0.584896 | − | 0.250691i | |||||
−13.2305 | −0.467476 | |||||||||
−34.7558 | − | 21.1817i | −1.22727 | − | 0.747952i | |||||
0 | 0 | |||||||||
3.33578 | + | 6.46845i | 0.117644 | + | 0.228125i | |||||
11.6590i | 0.410925i | |||||||||
−15.8681 | − | 9.67072i | −0.558931 | − | 0.340637i | |||||
− | 2.92919i | − | 0.103112i | |||||||
−27.0070 | − | 1.92631i | −0.950103 | − | 0.0677675i | |||||
39.8260i | 1.40021i | 0.714041 | + | 0.700104i | ||||||
−0.714041 | + | 0.700104i | ||||||||
−7.10549 | − | 4.33039i | −0.249661 | − | 0.152154i | |||||
−42.6481 | −1.49758 | −0.748788 | − | 0.662809i | ||||||
−0.748788 | + | 0.662809i | ||||||||
−11.3937 | + | 5.87570i | −0.399839 | + | 0.206197i | |||||
− | 17.5818i | − | 0.616619i | |||||||
0 | 0 | |||||||||
13.5617i | 0.475047i | |||||||||
0.120195 | − | 0.168882i | 0.00420765 | − | 0.00591205i | |||||
15.0694 | 0.527213 | |||||||||
13.9506 | − | 22.8907i | 0.487770 | − | 0.800354i | |||||
14.1997i | 0.496178i | |||||||||
−13.8689 | + | 7.15220i | −0.484324 | + | 0.249766i | |||||
− | 19.3110i | − | 0.673958i | −0.941512 | − | 0.336979i | ||||
0.941512 | − | 0.336979i | ||||||||
−0.683837 | + | 1.12207i | −0.0238516 | + | 0.0391366i | |||||
− | 9.91929i | − | 0.345765i | −0.984942 | − | 0.172882i | ||||
0.984942 | − | 0.172882i | ||||||||
29.1196 | + | 2.07700i | 1.01443 | + | 0.0723557i | |||||
0 | 0 | |||||||||
5.82633 | − | 9.56010i | 0.202724 | − | 0.332638i | |||||
43.6308 | 1.51719 | 0.758596 | − | 0.651562i | ||||||
0.758596 | + | 0.651562i | ||||||||
23.1377 | − | 11.9321i | 0.804092 | − | 0.414670i | |||||
−28.1496 | −0.977677 | −0.488838 | − | 0.872374i | ||||||
−0.488838 | + | 0.872374i | ||||||||
5.88155 | + | 3.58447i | 0.204152 | + | 0.124419i | |||||
11.1183 | 0.385691 | |||||||||
4.03905 | − | 28.1698i | 0.140029 | − | 0.976611i | |||||
0.304239i | 0.0105413i | |||||||||
3.42942 | − | 5.62713i | 0.118751 | − | 0.194852i | |||||
−29.5406 | −1.02229 | |||||||||
0 | 0 | |||||||||
14.9149 | 0.515533 | |||||||||
11.3123 | − | 18.5617i | 0.390777 | − | 0.641203i | |||||
34.9528i | 1.20670i | 0.797475 | + | 0.603352i | ||||||
−0.797475 | + | 0.603352i | ||||||||
−4.58825 | − | 0.327264i | −0.158310 | − | 0.0112917i | |||||
13.5056 | 0.465709 | |||||||||
23.3322 | + | 14.2196i | 0.804081 | + | 0.490041i | |||||
4.25248 | 0.146463 | |||||||||
2.51442 | + | 4.87574i | 0.0865498 | + | 0.167830i | |||||
−0.466665 | −0.0160538 | |||||||||
17.6905 | − | 29.0273i | 0.608212 | − | 0.997980i | |||||
0 | 0 | |||||||||
9.01697 | − | 12.6695i | 0.309644 | − | 0.435072i | |||||
− | 8.29170i | − | 0.284570i | |||||||
−0.163839 | + | 0.268834i | −0.00561963 | + | 0.00922092i | |||||
36.5246i | 1.25205i | |||||||||
−4.73617 | − | 9.18396i | −0.162258 | − | 0.314637i | |||||
− | 27.2162i | − | 0.931864i | −0.884821 | − | 0.465932i | ||||
0.884821 | − | 0.465932i | ||||||||
−1.61313 | + | 2.64689i | −0.0552001 | + | 0.0905746i | |||||
−26.2838 | −0.898888 | |||||||||
2.22906 | − | 31.2515i | 0.0761878 | − | 1.06816i | |||||
37.5541i | 1.28282i | 0.767197 | + | 0.641412i | ||||||
−0.767197 | + | 0.641412i | ||||||||
0 | 0 | |||||||||
4.50293i | 0.153638i | 0.997045 | + | 0.0768190i | ||||||
−0.997045 | + | 0.0768190i | ||||||||
−2.34255 | − | 4.54246i | −0.0798801 | − | 0.154897i | |||||
−6.97876 | −0.237835 | |||||||||
−32.7313 | − | 19.9478i | −1.11483 | − | 0.679426i | |||||
18.0361i | 0.613958i | 0.951716 | + | 0.306979i | ||||||
−0.951716 | + | 0.306979i | ||||||||
8.99807 | + | 20.9937i | 0.306120 | + | 0.714221i | |||||
− | 15.9547i | − | 0.542477i | |||||||
5.26055 | + | 3.20601i | 0.178761 | + | 0.108945i | |||||
− | 12.5879i | − | 0.427506i | |||||||
−10.6920 | + | 5.51386i | −0.362910 | + | 0.187152i | |||||
0 | 0 | |||||||||
−4.74754 | − | 2.89336i | −0.160957 | − | 0.0980940i | |||||
−17.4768 | −0.592179 | |||||||||
−25.2766 | − | 1.80289i | −0.855974 | − | 0.0610536i | |||||
17.9595 | 0.607838 | |||||||||
31.0741 | − | 50.9877i | 1.05110 | − | 1.72468i | |||||
17.9649 | 0.607323 | |||||||||
−6.87261 | − | 13.3268i | −0.232204 | − | 0.450270i | |||||
13.6207i | 0.459939i | 0.973198 | + | 0.229970i | ||||||
−0.973198 | + | 0.229970i | ||||||||
29.1031 | + | 17.7367i | 0.982181 | + | 0.598583i | |||||
3.92773 | 0.132479 | |||||||||
0 | 0 | |||||||||
5.44549 | 0.183463 | 0.0917317 | − | 0.995784i | ||||||
0.0917317 | + | 0.995784i | ||||||||
−12.8728 | − | 7.84527i | −0.433451 | − | 0.264164i | |||||
28.2297i | 0.950005i | 0.879985 | + | 0.475002i | ||||||
−0.879985 | + | 0.475002i | ||||||||
0.228147 | + | 0.442404i | 0.00767343 | + | 0.0148797i | |||||
4.85547 | 0.163215 | |||||||||
16.9604 | − | 27.8293i | 0.569796 | − | 0.934945i | |||||
42.4394 | 1.42498 | 0.712488 | − | 0.701684i | ||||||
0.712488 | + | 0.701684i | ||||||||
−14.3738 | − | 1.02523i | −0.482353 | − | 0.0344046i | |||||
−16.7597 | −0.562104 | |||||||||
8.78849 | + | 5.35608i | 0.294591 | + | 0.179536i | |||||
0 | 0 | |||||||||
−42.1738 | + | 21.7490i | −1.41208 | + | 0.728211i | |||||
− | 77.9677i | − | 2.60909i | |||||||
−15.3450 | − | 9.35188i | −0.513212 | − | 0.312774i | |||||
1.25898i | 0.0420831i | |||||||||
−14.2116 | − | 11.7232i | −0.474775 | − | 0.391646i | |||||
− | 13.9902i | − | 0.467120i | |||||||
−4.55693 | − | 2.77719i | −0.152067 | − | 0.0926760i | |||||
−14.5402 | −0.484944 | |||||||||
−7.14996 | − | 13.8646i | −0.238332 | − | 0.462153i | |||||
0.272002i | 0.00906169i | |||||||||
0 | 0 | |||||||||
− | 2.28574i | − | 0.0760646i | |||||||
−2.21818 | + | 31.0989i | −0.0737755 | + | 1.03434i | |||||
−25.4034 | −0.844438 | |||||||||
−6.62771 | + | 10.8750i | −0.220191 | + | 0.361298i | |||||
34.6899i | 1.15186i | 0.817500 | + | 0.575929i | ||||||
−0.817500 | + | 0.575929i | ||||||||
0.734116 | + | 1.42353i | 0.0243625 | + | 0.0472416i | |||||
23.4664i | 0.778333i | |||||||||
5.74846 | − | 9.43231i | 0.190560 | − | 0.312678i | |||||
29.6674i | 0.982924i | 0.870899 | + | 0.491462i | ||||||
−0.870899 | + | 0.491462i | ||||||||
19.1933 | + | 13.6600i | 0.635555 | + | 0.452329i | |||||
0 | 0 | |||||||||
−25.9483 | + | 42.5771i | −0.858294 | + | 1.40833i | |||||
−1.34432 | −0.0444420 | |||||||||
−21.6236 | − | 41.9306i | −0.714463 | − | 1.38543i | |||||
3.04128 | 0.100432 | |||||||||
−0.341153 | − | 0.207914i | −0.0112597 | − | 0.00686217i | |||||
−21.6093 | −0.712825 | −0.356412 | − | 0.934329i | ||||||
−0.356412 | + | 0.934329i | ||||||||
−20.2000 | − | 1.44079i | −0.665973 | − | 0.0475016i | |||||
1.68144i | 0.0554054i | |||||||||
−28.3405 | + | 46.5022i | −0.933343 | + | 1.53147i | |||||
24.8137 | 0.816754 | |||||||||
0 | 0 | |||||||||
21.8862 | 0.719614 | |||||||||
7.92438 | − | 13.0027i | 0.260411 | − | 0.427294i | |||||
− | 25.3021i | − | 0.831029i | |||||||
−8.77205 | − | 20.4664i | −0.287957 | − | 0.671842i | |||||
47.2208 | 1.54926 | 0.774632 | − | 0.632412i | ||||||
0.774632 | + | 0.632412i | ||||||||
−4.45517 | − | 2.71517i | −0.146091 | − | 0.0890340i | |||||
−34.5766 | −1.13320 | |||||||||
31.0921 | − | 16.0342i | 1.01845 | − | 0.525217i | |||||
−14.9369 | −0.489011 | |||||||||
15.2199 | − | 24.9734i | 0.498009 | − | 0.817154i | |||||
0 | 0 | |||||||||
−24.6020 | − | 1.75477i | −0.804140 | − | 0.0573565i | |||||
− | 46.3875i | − | 1.51541i | −0.652595 | − | 0.757707i | ||||
0.652595 | − | 0.757707i | ||||||||
−5.88797 | + | 9.66123i | −0.192249 | + | 0.315450i | |||||
− | 1.14204i | − | 0.0372689i | |||||||
−23.5022 | + | 12.1201i | −0.766558 | + | 0.395314i | |||||
39.4205i | 1.28507i | 0.766255 | + | 0.642536i | ||||||
−0.766255 | + | 0.642536i | ||||||||
−2.89007 | + | 4.74215i | −0.0941636 | + | 0.154508i | |||||
−30.7243 | −1.00052 | |||||||||
15.8435 | + | 11.2759i | 0.515662 | + | 0.367000i | |||||
8.86568i | 0.288401i | |||||||||
0 | 0 | |||||||||
24.9488i | 0.810725i | 0.914156 | + | 0.405363i | ||||||
−0.914156 | + | 0.405363i | ||||||||
−7.90554 | + | 4.07688i | −0.256760 | + | 0.132411i | |||||
36.0070 | 1.16884 | |||||||||
−30.5528 | − | 18.6202i | −0.991264 | − | 0.604119i | |||||
12.4894i | 0.404998i | |||||||||
0.321425 | + | 0.0229261i | 0.0104175 | + | 0.000743040i | |||||
40.9113i | 1.32525i | 0.748952 | + | 0.662624i | ||||||
−0.748952 | + | 0.662624i | ||||||||
−11.5088 | − | 7.01398i | −0.372612 | − | 0.227086i | |||||
− | 27.5671i | − | 0.892051i | |||||||
−6.12800 | − | 11.8829i | −0.198194 | − | 0.384320i | |||||
0 | 0 | |||||||||
13.7835 | + | 8.40029i | 0.445326 | + | 0.271401i | |||||
−2.04275 | −0.0659638 | |||||||||
1.13401 | − | 7.90901i | 0.0366001 | − | 0.255262i | |||||
17.3552 | 0.559845 | |||||||||
18.0084 | − | 29.5490i | 0.580615 | − | 0.952698i | |||||
−27.1545 | −0.875043 | |||||||||
7.61957 | − | 3.92941i | 0.245410 | − | 0.126558i | |||||
− | 23.3828i | − | 0.752718i | |||||||
−7.73384 | − | 4.71333i | −0.248832 | − | 0.151649i | |||||
23.6696 | 0.761164 | 0.380582 | − | 0.924747i | ||||||
0.380582 | + | 0.924747i | ||||||||
0 | 0 | |||||||||
−0.412063 | −0.0132374 | |||||||||
−11.9298 | − | 7.27055i | −0.383043 | − | 0.233443i | |||||
53.9321i | 1.73076i | 0.501112 | + | 0.865382i | ||||||
−0.501112 | + | 0.865382i | ||||||||
27.2768 | − | 14.0666i | 0.874903 | − | 0.451187i | |||||
10.2443 | 0.328417 | |||||||||
2.94755 | − | 4.83646i | 0.0944455 | − | 0.154970i | |||||
−8.38321 | −0.268478 | |||||||||
−4.38656 | − | 3.12195i | −0.140410 | − | 0.0999311i | |||||
−9.59586 | −0.306999 | −0.153499 | − | 0.988149i | ||||||
−0.153499 | + | 0.988149i | ||||||||
−8.99601 | − | 5.48256i | −0.287661 | − | 0.175313i | |||||
0 | 0 | |||||||||
5.37494 | + | 10.4226i | 0.171696 | + | 0.332938i | |||||
21.9629i | 0.701222i | |||||||||
−13.5181 | − | 8.23851i | −0.431380 | − | 0.262901i | |||||
− | 35.3025i | − | 1.12597i | −0.826466 | − | 0.562987i | ||||
0.826466 | − | 0.562987i | ||||||||
0.862421 | − | 12.0912i | 0.0274930 | − | 0.385452i | |||||
− | 4.70776i | − | 0.150002i | |||||||
0.332584 | + | 0.202691i | 0.0105916 | + | 0.00645500i | |||||
−11.8262 | −0.376431 | |||||||||
−50.2789 | + | 25.9288i | −1.59959 | + | 0.824906i | |||||
− | 10.0631i | − | 0.319987i | |||||||
0 | 0 | |||||||||
17.8021i | 0.565502i | 0.959193 | + | 0.282751i | ||||||
−0.959193 | + | 0.282751i | ||||||||
−8.23183 | − | 19.2060i | −0.261361 | − | 0.609791i | |||||
25.1634 | 0.798536 | |||||||||
8.35979 | − | 13.7171i | 0.265156 | − | 0.435080i | |||||
− | 15.1912i | − | 0.481594i | |||||||
−4.75543 | + | 2.45237i | −0.150682 | + | 0.0777064i | |||||
− | 62.9390i | − | 1.99330i | −0.0817877 | − | 0.996650i | ||||
0.0817877 | − | 0.996650i | ||||||||
28.9721 | − | 47.5386i | 0.917094 | − | 1.50481i | |||||
27.7739i | 0.878727i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 484.2.c.d.483.14 | 16 | ||
4.3 | odd | 2 | inner | 484.2.c.d.483.4 | 16 | ||
11.2 | odd | 10 | 44.2.g.a.7.3 | yes | 16 | ||
11.3 | even | 5 | 484.2.g.f.475.4 | 16 | |||
11.4 | even | 5 | 484.2.g.j.215.2 | 16 | |||
11.5 | even | 5 | 44.2.g.a.19.1 | yes | 16 | ||
11.6 | odd | 10 | 484.2.g.i.239.4 | 16 | |||
11.7 | odd | 10 | 484.2.g.f.215.3 | 16 | |||
11.8 | odd | 10 | 484.2.g.j.475.1 | 16 | |||
11.9 | even | 5 | 484.2.g.i.403.2 | 16 | |||
11.10 | odd | 2 | inner | 484.2.c.d.483.3 | 16 | ||
33.2 | even | 10 | 396.2.r.a.271.2 | 16 | |||
33.5 | odd | 10 | 396.2.r.a.19.4 | 16 | |||
44.3 | odd | 10 | 484.2.g.f.475.3 | 16 | |||
44.7 | even | 10 | 484.2.g.f.215.4 | 16 | |||
44.15 | odd | 10 | 484.2.g.j.215.1 | 16 | |||
44.19 | even | 10 | 484.2.g.j.475.2 | 16 | |||
44.27 | odd | 10 | 44.2.g.a.19.3 | yes | 16 | ||
44.31 | odd | 10 | 484.2.g.i.403.4 | 16 | |||
44.35 | even | 10 | 44.2.g.a.7.1 | ✓ | 16 | ||
44.39 | even | 10 | 484.2.g.i.239.2 | 16 | |||
44.43 | even | 2 | inner | 484.2.c.d.483.13 | 16 | ||
88.5 | even | 10 | 704.2.u.c.63.2 | 16 | |||
88.13 | odd | 10 | 704.2.u.c.447.3 | 16 | |||
88.27 | odd | 10 | 704.2.u.c.63.3 | 16 | |||
88.35 | even | 10 | 704.2.u.c.447.2 | 16 | |||
132.35 | odd | 10 | 396.2.r.a.271.4 | 16 | |||
132.71 | even | 10 | 396.2.r.a.19.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
44.2.g.a.7.1 | ✓ | 16 | 44.35 | even | 10 | ||
44.2.g.a.7.3 | yes | 16 | 11.2 | odd | 10 | ||
44.2.g.a.19.1 | yes | 16 | 11.5 | even | 5 | ||
44.2.g.a.19.3 | yes | 16 | 44.27 | odd | 10 | ||
396.2.r.a.19.2 | 16 | 132.71 | even | 10 | |||
396.2.r.a.19.4 | 16 | 33.5 | odd | 10 | |||
396.2.r.a.271.2 | 16 | 33.2 | even | 10 | |||
396.2.r.a.271.4 | 16 | 132.35 | odd | 10 | |||
484.2.c.d.483.3 | 16 | 11.10 | odd | 2 | inner | ||
484.2.c.d.483.4 | 16 | 4.3 | odd | 2 | inner | ||
484.2.c.d.483.13 | 16 | 44.43 | even | 2 | inner | ||
484.2.c.d.483.14 | 16 | 1.1 | even | 1 | trivial | ||
484.2.g.f.215.3 | 16 | 11.7 | odd | 10 | |||
484.2.g.f.215.4 | 16 | 44.7 | even | 10 | |||
484.2.g.f.475.3 | 16 | 44.3 | odd | 10 | |||
484.2.g.f.475.4 | 16 | 11.3 | even | 5 | |||
484.2.g.i.239.2 | 16 | 44.39 | even | 10 | |||
484.2.g.i.239.4 | 16 | 11.6 | odd | 10 | |||
484.2.g.i.403.2 | 16 | 11.9 | even | 5 | |||
484.2.g.i.403.4 | 16 | 44.31 | odd | 10 | |||
484.2.g.j.215.1 | 16 | 44.15 | odd | 10 | |||
484.2.g.j.215.2 | 16 | 11.4 | even | 5 | |||
484.2.g.j.475.1 | 16 | 11.8 | odd | 10 | |||
484.2.g.j.475.2 | 16 | 44.19 | even | 10 | |||
704.2.u.c.63.2 | 16 | 88.5 | even | 10 | |||
704.2.u.c.63.3 | 16 | 88.27 | odd | 10 | |||
704.2.u.c.447.2 | 16 | 88.35 | even | 10 | |||
704.2.u.c.447.3 | 16 | 88.13 | odd | 10 |