Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [207,2,Mod(55,207)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(207, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("207.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 207.i (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
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 69) |
Sato-Tate group: |
Embedding invariants
Embedding label | 190.2 | ||
Root | of defining polynomial | ||
Character | 207.190 | ||
Dual form | 207.2.i.d.73.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.10489 | − | 2.41937i | 0.781275 | − | 1.71075i | 0.0811848 | − | 0.996699i | ||
0.700090 | − | 0.714054i | ||||||||
0 | 0 | |||||||||
−3.32285 | − | 3.83478i | −1.66143 | − | 1.91739i | |||||
2.44470 | − | 1.57111i | 1.09330 | − | 0.702624i | 0.135711 | − | 0.990748i | ||
0.957593 | + | 0.288125i | ||||||||
0 | 0 | |||||||||
−0.326826 | + | 2.27313i | −0.123529 | + | 0.859161i | 0.829979 | + | 0.557794i | ||
−0.953508 | + | 0.301367i | ||||||||
−7.84516 | + | 2.30355i | −2.77368 | + | 0.814426i | |||||
0 | 0 | |||||||||
−1.09998 | − | 7.65055i | −0.347845 | − | 2.41932i | |||||
−0.0494206 | − | 0.108216i | −0.0149009 | − | 0.0326283i | 0.902035 | − | 0.431662i | ||
−0.916936 | + | 0.399034i | ||||||||
0 | 0 | |||||||||
0.614381 | + | 4.27311i | 0.170399 | + | 1.18515i | 0.878044 | + | 0.478580i | ||
−0.707645 | + | 0.706568i | ||||||||
5.13843 | + | 3.30227i | 1.37330 | + | 0.882568i | |||||
0 | 0 | |||||||||
−1.65065 | + | 11.4805i | −0.412663 | + | 2.87013i | |||||
1.68604 | − | 1.94579i | 0.408924 | − | 0.471923i | −0.513507 | − | 0.858085i | ||
0.922431 | + | 0.386162i | ||||||||
0 | 0 | |||||||||
−1.13103 | − | 1.30528i | −0.259476 | − | 0.299452i | 0.611031 | − | 0.791606i | ||
−0.870508 | + | 0.492155i | ||||||||
−14.1483 | − | 4.15430i | −3.16365 | − | 0.928931i | |||||
0 | 0 | |||||||||
−0.316419 | −0.0674607 | |||||||||
−4.00915 | + | 2.63187i | −0.835965 | + | 0.548783i | |||||
0 | 0 | |||||||||
1.43109 | − | 3.13366i | 0.286219 | − | 0.626731i | |||||
11.0171 | + | 3.23490i | 2.16063 | + | 0.634417i | |||||
0 | 0 | |||||||||
9.80293 | − | 6.29996i | 1.85258 | − | 1.19058i | |||||
0.933494 | − | 1.07731i | 0.173345 | − | 0.200051i | −0.662428 | − | 0.749125i | ||
0.835774 | + | 0.549074i | ||||||||
0 | 0 | |||||||||
5.49527 | − | 1.61356i | 0.986980 | − | 0.289803i | 0.251877 | − | 0.967759i | ||
0.735103 | + | 0.677956i | ||||||||
12.1951 | + | 7.83731i | 2.15581 | + | 1.38545i | |||||
0 | 0 | |||||||||
−2.84470 | − | 6.22903i | −0.487862 | − | 1.06827i | |||||
2.77235 | + | 6.07060i | 0.468613 | + | 1.02612i | |||||
0 | 0 | |||||||||
5.79948 | + | 3.72710i | 0.953429 | + | 0.612731i | 0.922172 | − | 0.386780i | ||
0.0312566 | + | 0.999511i | ||||||||
−4.40762 | + | 1.29419i | −0.715010 | + | 0.209946i | |||||
0 | 0 | |||||||||
−15.5599 | + | 17.9571i | −2.46024 | + | 2.83927i | |||||
5.48180 | − | 3.52294i | 0.856113 | − | 0.550190i | −0.0373628 | − | 0.999302i | ||
0.893476 | + | 0.449111i | ||||||||
0 | 0 | |||||||||
−8.28385 | − | 2.43236i | −1.26327 | − | 0.370931i | −0.419562 | − | 0.907726i | ||
−0.843712 | + | 0.536796i | ||||||||
−0.250767 | + | 0.549102i | −0.0378045 | + | 0.0827803i | |||||
0 | 0 | |||||||||
1.93781 | + | 12.6075i | 0.285714 | + | 1.85888i | |||||
−5.91880 | −0.863345 | −0.431673 | − | 0.902030i | ||||||
−0.431673 | + | 0.902030i | ||||||||
0 | 0 | |||||||||
1.65616 | + | 0.486293i | 0.236595 | + | 0.0694704i | |||||
−6.00028 | − | 6.92469i | −0.848567 | − | 0.979299i | |||||
0 | 0 | |||||||||
14.3449 | − | 16.5549i | 1.98929 | − | 2.29576i | |||||
0.514895 | − | 3.58117i | 0.0707263 | − | 0.491912i | −0.923413 | − | 0.383807i | ||
0.994140 | − | 0.108105i | ||||||||
0 | 0 | |||||||||
−0.290838 | − | 0.186910i | −0.0392166 | − | 0.0252030i | |||||
−2.67225 | − | 18.5859i | −0.357094 | − | 2.48364i | |||||
0 | 0 | |||||||||
−1.57500 | − | 3.44878i | −0.206808 | − | 0.452846i | |||||
−0.386194 | − | 2.68604i | −0.0502782 | − | 0.349692i | −0.999395 | − | 0.0347692i | ||
0.949117 | − | 0.314923i | ||||||||
0 | 0 | |||||||||
−12.0589 | + | 3.54081i | −1.54398 | + | 0.453354i | −0.939296 | − | 0.343109i | ||
−0.604687 | + | 0.796463i | ||||||||
2.16787 | − | 15.0779i | 0.275320 | − | 1.91490i | |||||
0 | 0 | |||||||||
12.9209 | − | 8.30375i | 1.61511 | − | 1.03797i | |||||
8.21553 | + | 9.48123i | 1.01901 | + | 1.17600i | |||||
0 | 0 | |||||||||
−0.0349839 | + | 0.0766041i | −0.00427397 | + | 0.00935868i | −0.911757 | − | 0.410730i | ||
0.907483 | + | 0.420089i | ||||||||
−13.0641 | −1.58426 | |||||||||
0 | 0 | |||||||||
17.7502 | 2.12155 | |||||||||
−6.43563 | + | 14.0921i | −0.763769 | + | 1.67242i | −0.0238577 | + | 0.999715i | ||
−0.739911 | + | 0.672705i | ||||||||
0 | 0 | |||||||||
0.455430 | + | 0.525595i | 0.0533041 | + | 0.0615162i | 0.781775 | − | 0.623560i | ||
−0.728471 | + | 0.685076i | ||||||||
15.4250 | − | 9.91306i | 1.79312 | − | 1.15237i | |||||
0 | 0 | |||||||||
−1.24721 | + | 8.67450i | −0.143064 | + | 0.995034i | |||||
0.262140 | − | 0.0769714i | 0.0298737 | − | 0.00877170i | |||||
0 | 0 | |||||||||
1.05210 | + | 7.31752i | 0.118371 | + | 0.823285i | 0.959350 | + | 0.282218i | ||
−0.840980 | + | 0.541067i | ||||||||
14.0019 | + | 30.6598i | 1.56546 | + | 3.42787i | |||||
0 | 0 | |||||||||
−2.46651 | − | 17.1550i | −0.272381 | − | 1.89445i | |||||
−2.33903 | − | 1.50321i | −0.256742 | − | 0.164998i | 0.405938 | − | 0.913901i | ||
−0.662680 | + | 0.748902i | ||||||||
0 | 0 | |||||||||
1.06480 | − | 7.40583i | 0.115493 | − | 0.803275i | |||||
−15.0375 | + | 17.3542i | −1.62154 | + | 1.87135i | |||||
0 | 0 | |||||||||
0.636992 | + | 0.735128i | 0.0679036 | + | 0.0783649i | |||||
−12.7468 | − | 3.74281i | −1.35116 | − | 0.396737i | −0.475522 | − | 0.879704i | ||
−0.875638 | + | 0.482967i | ||||||||
0 | 0 | |||||||||
−9.91413 | −1.03928 | |||||||||
23.4144 | + | 6.62886i | 2.44112 | + | 0.691107i | |||||
0 | 0 | |||||||||
−6.53962 | + | 14.3198i | −0.674510 | + | 1.47697i | |||||
−4.81578 | − | 1.41404i | −0.494089 | − | 0.145077i | |||||
0 | 0 | |||||||||
−7.16897 | + | 4.60722i | −0.727898 | + | 0.467792i | −0.851376 | − | 0.524555i | ||
0.123478 | + | 0.992347i | ||||||||
3.00640 | − | 3.46957i | 0.303692 | − | 0.350479i | |||||
0 | 0 | |||||||||
−16.7722 | + | 4.92476i | −1.67722 | + | 0.492476i | |||||
−5.88248 | − | 3.78044i | −0.585328 | − | 0.376168i | 0.214206 | − | 0.976789i | ||
−0.799534 | + | 0.600621i | ||||||||
0 | 0 | |||||||||
5.73944 | + | 12.5676i | 0.565523 | + | 1.23832i | 0.949147 | + | 0.314834i | ||
−0.383623 | + | 0.923490i | ||||||||
−14.6632 | − | 32.1080i | −1.43785 | − | 3.14845i | |||||
0 | 0 | |||||||||
−8.09528 | − | 5.20252i | −0.786283 | − | 0.505314i | |||||
7.88971 | − | 2.31663i | 0.762727 | − | 0.223957i | 0.122841 | − | 0.992426i | ||
0.639886 | + | 0.768469i | ||||||||
0 | 0 | |||||||||
11.3104 | − | 13.0529i | 1.08334 | − | 1.25024i | 0.116958 | − | 0.993137i | ||
0.966383 | − | 0.257106i | ||||||||
−0.773550 | + | 0.497130i | −0.0737551 | + | 0.0473995i | |||||
0 | 0 | |||||||||
−25.5572 | − | 7.50428i | −2.41493 | − | 0.709088i | |||||
−3.11467 | + | 6.82019i | −0.293004 | + | 0.641589i | −0.997690 | − | 0.0679300i | ||
0.704686 | + | 0.709519i | ||||||||
0 | 0 | |||||||||
−5.66620 | + | 12.7330i | −0.528376 | + | 1.18736i | |||||
−7.23310 | −0.671577 | |||||||||
0 | 0 | |||||||||
−6.92522 | − | 2.03343i | −0.637518 | − | 0.187192i | |||||
3.87198 | + | 4.46851i | 0.354944 | + | 0.409627i | |||||
0 | 0 | |||||||||
7.19420 | − | 8.30255i | 0.654018 | − | 0.754777i | |||||
−4.75721 | + | 33.0871i | −0.430698 | + | 2.99557i | |||||
0 | 0 | |||||||||
−24.4476 | − | 15.7115i | −2.19546 | − | 1.41094i | |||||
0.643114 | + | 4.47295i | 0.0575218 | + | 0.400073i | |||||
0 | 0 | |||||||||
−0.834395 | − | 1.82707i | −0.0740406 | − | 0.162126i | 0.868992 | − | 0.494825i | ||
−0.943033 | + | 0.332699i | ||||||||
−1.68761 | − | 11.7376i | −0.149165 | − | 1.03747i | |||||
0 | 0 | |||||||||
32.0159 | − | 9.40071i | 2.80798 | − | 0.824496i | |||||
−0.699047 | + | 4.86198i | −0.0610760 | + | 0.424793i | 0.936227 | + | 0.351396i | ||
−0.997303 | + | 0.0733967i | ||||||||
0 | 0 | |||||||||
3.33672 | − | 2.14438i | 0.289330 | − | 0.185941i | |||||
0.146680 | + | 0.169278i | 0.0126712 | + | 0.0146234i | |||||
0 | 0 | |||||||||
−8.74500 | + | 19.1489i | −0.749877 | + | 1.64200i | |||||
−7.93152 | −0.677636 | −0.338818 | − | 0.940852i | ||||||
−0.338818 | + | 0.940852i | ||||||||
0 | 0 | |||||||||
10.7987 | 0.915936 | 0.457968 | − | 0.888969i | ||||||
0.457968 | + | 0.888969i | ||||||||
14.0673 | − | 30.8030i | 1.18890 | − | 2.60333i | |||||
0 | 0 | |||||||||
26.9833 | + | 31.1403i | 2.26439 | + | 2.61324i | |||||
0.432056 | − | 0.277665i | 0.0361303 | − | 0.0232196i | |||||
0 | 0 | |||||||||
0.589538 | − | 4.10033i | 0.0489585 | − | 0.340514i | |||||
1.77481 | − | 0.521131i | 0.146884 | − | 0.0431291i | |||||
0 | 0 | |||||||||
−4.97822 | − | 34.6243i | −0.409207 | − | 2.84610i | |||||
−6.87613 | − | 15.0566i | −0.563315 | − | 1.23349i | −0.950281 | − | 0.311393i | ||
0.386967 | − | 0.922094i | ||||||||
0 | 0 | |||||||||
−2.68982 | − | 18.7081i | −0.218895 | − | 1.52245i | −0.742128 | − | 0.670258i | ||
0.523234 | − | 0.852189i | ||||||||
11.8799 | + | 7.63474i | 0.963586 | + | 0.619259i | |||||
0 | 0 | |||||||||
0.103414 | − | 0.719260i | 0.00833333 | − | 0.0579596i | |||||
10.8992 | − | 12.5784i | 0.875446 | − | 1.01032i | |||||
0 | 0 | |||||||||
−4.95301 | − | 5.71608i | −0.395293 | − | 0.456193i | 0.522860 | − | 0.852419i | ||
−0.918153 | + | 0.396226i | ||||||||
18.8662 | + | 5.53963i | 1.50092 | + | 0.440709i | |||||
0 | 0 | |||||||||
42.1267 | 3.33041 | |||||||||
−4.67228 | − | 9.97346i | −0.368227 | − | 0.786019i | |||||
0 | 0 | |||||||||
0.693430 | − | 1.51840i | 0.0543136 | − | 0.118930i | −0.880529 | − | 0.473992i | ||
0.934843 | + | 0.355061i | ||||||||
−31.7249 | − | 9.31527i | −2.47730 | − | 0.727400i | |||||
0 | 0 | |||||||||
−6.22119 | + | 3.99811i | −0.482858 | + | 0.310314i | |||||
14.0362 | − | 16.1987i | 1.08615 | − | 1.25349i | 0.120764 | − | 0.992681i | ||
0.965391 | − | 0.260808i | ||||||||
0 | 0 | |||||||||
−5.40863 | + | 1.58812i | −0.416049 | + | 0.122163i | |||||
−16.7410 | − | 10.7588i | −1.28397 | − | 0.825159i | |||||
0 | 0 | |||||||||
18.1985 | + | 39.8491i | 1.38762 | + | 3.03846i | |||||
2.62976 | + | 5.75836i | 0.199937 | + | 0.437800i | 0.982869 | − | 0.184307i | ||
−0.782932 | + | 0.622107i | ||||||||
0 | 0 | |||||||||
6.65548 | + | 4.27722i | 0.503107 | + | 0.323327i | |||||
1.32395 | − | 0.388747i | 0.0997966 | − | 0.0293029i | |||||
0 | 0 | |||||||||
−23.1391 | + | 26.7039i | −1.73435 | + | 2.00154i | |||||
−6.89203 | + | 4.42924i | −0.515134 | + | 0.331057i | −0.772245 | − | 0.635325i | ||
0.257110 | + | 0.966382i | ||||||||
0 | 0 | |||||||||
−6.05668 | − | 1.77840i | −0.450189 | − | 0.132188i | 0.0487755 | − | 0.998810i | ||
−0.498965 | + | 0.866622i | ||||||||
−10.9540 | + | 23.9859i | −0.811966 | + | 1.77796i | |||||
0 | 0 | |||||||||
25.3897 | − | 29.8827i | 1.87176 | − | 2.20298i | |||||
20.0337 | 1.47291 | |||||||||
0 | 0 | |||||||||
−0.293890 | − | 0.0862939i | −0.0214914 | − | 0.00631044i | |||||
19.6673 | + | 22.6973i | 1.43438 | + | 1.65537i | |||||
0 | 0 | |||||||||
−8.74199 | + | 10.0888i | −0.634211 | + | 0.731918i | |||||
1.84244 | − | 12.8144i | 0.133314 | − | 0.927221i | −0.807878 | − | 0.589350i | ||
0.941192 | − | 0.337871i | ||||||||
0 | 0 | |||||||||
10.6093 | + | 6.81818i | 0.763674 | + | 0.490784i | 0.863579 | − | 0.504213i | ||
−0.0999048 | + | 0.994997i | ||||||||
3.22565 | + | 22.4349i | 0.231588 | + | 1.61073i | |||||
0 | 0 | |||||||||
−3.63836 | − | 7.96689i | −0.259883 | − | 0.569064i | |||||
−2.06820 | − | 14.3847i | −0.147353 | − | 1.02486i | −0.920530 | − | 0.390673i | ||
0.773176 | − | 0.634191i | ||||||||
0 | 0 | |||||||||
−19.3561 | + | 5.68347i | −1.37212 | + | 0.402890i | −0.883019 | − | 0.469337i | ||
−0.489100 | + | 0.872228i | ||||||||
−4.00863 | + | 27.8806i | −0.283453 | + | 1.97146i | |||||
0 | 0 | |||||||||
−15.6458 | + | 10.0549i | −1.10083 | + | 0.707462i | |||||
2.14377 | + | 2.47404i | 0.150463 | + | 0.173644i | |||||
0 | 0 | |||||||||
7.86642 | − | 17.2251i | 0.549415 | − | 1.20305i | |||||
36.7472 | 2.56030 | |||||||||
0 | 0 | |||||||||
−50.0717 | −3.47185 | |||||||||
−0.0853558 | + | 0.186903i | −0.00590419 | + | 0.0129284i | |||||
0 | 0 | |||||||||
−4.88121 | − | 5.63321i | −0.336036 | − | 0.387806i | 0.562433 | − | 0.826843i | ||
−0.898469 | + | 0.439036i | ||||||||
−15.4439 | + | 9.92520i | −1.06069 | + | 0.681666i | |||||
0 | 0 | |||||||||
3.11248 | − | 21.6478i | 0.212765 | − | 1.47981i | |||||
−24.0731 | + | 7.06849i | −1.64177 | + | 0.482067i | |||||
0 | 0 | |||||||||
1.87182 | + | 13.0188i | 0.127067 | + | 0.883774i | |||||
−19.0831 | − | 41.7861i | −1.29247 | − | 2.83011i | |||||
0 | 0 | |||||||||
0.249653 | + | 1.73637i | 0.0168316 | + | 0.117066i | |||||
9.35044 | + | 6.00917i | 0.628979 | + | 0.404220i | |||||
0 | 0 | |||||||||
−0.239369 | + | 1.66485i | −0.0160293 | + | 0.111486i | −0.996265 | − | 0.0863458i | ||
0.980236 | + | 0.197832i | ||||||||
−21.8009 | + | 25.1596i | −1.45663 | + | 1.68104i | |||||
0 | 0 | |||||||||
13.0592 | + | 15.0711i | 0.868684 | + | 1.00252i | |||||
10.3447 | + | 3.03747i | 0.686601 | + | 0.201604i | 0.606383 | − | 0.795173i | ||
0.0802184 | + | 0.996777i | ||||||||
0 | 0 | |||||||||
21.9077 | 1.44770 | 0.723852 | − | 0.689955i | ||||||
0.723852 | + | 0.689955i | ||||||||
24.5453 | + | 27.7772i | 1.61847 | + | 1.83157i | |||||
0 | 0 | |||||||||
−4.84177 | + | 10.6020i | −0.317878 | + | 0.696056i | |||||
23.8637 | + | 7.00702i | 1.56336 | + | 0.459045i | 0.945061 | − | 0.326894i | ||
0.618304 | + | 0.785939i | ||||||||
0 | 0 | |||||||||
−14.4697 | + | 9.29911i | −0.943899 | + | 0.606607i | |||||
−9.01709 | + | 10.4063i | −0.586962 | + | 0.677391i | |||||
0 | 0 | |||||||||
15.0891 | − | 4.43056i | 0.978080 | − | 0.287190i | |||||
−3.53060 | − | 2.26898i | −0.228375 | − | 0.146768i | 0.421450 | − | 0.906852i | ||
−0.649825 | + | 0.760084i | ||||||||
0 | 0 | |||||||||
−11.3946 | − | 24.9507i | −0.733991 | − | 1.60722i | −0.793193 | − | 0.608971i | ||
0.0592012 | − | 0.998246i | ||||||||
−12.1381 | − | 26.5788i | −0.780270 | − | 1.70855i | |||||
0 | 0 | |||||||||
53.6481 | + | 34.4776i | 3.43447 | + | 2.20720i | |||||
4.81284 | − | 1.41318i | 0.307481 | − | 0.0902847i | |||||
0 | 0 | |||||||||
4.88272 | − | 5.63496i | 0.310680 | − | 0.358544i | |||||
−39.3944 | + | 25.3172i | −2.50154 | + | 1.60764i | |||||
0 | 0 | |||||||||
11.5323 | + | 3.38619i | 0.729367 | + | 0.214161i | |||||
5.36870 | − | 11.7558i | 0.338869 | − | 0.742020i | −0.661096 | − | 0.750301i | ||
0.999966 | + | 0.00828064i | ||||||||
0 | 0 | |||||||||
0.482945 | + | 0.303785i | 0.0303625 | + | 0.0190988i | |||||
−5.34227 | −0.335204 | |||||||||
0 | 0 | |||||||||
−0.788305 | − | 0.231467i | −0.0492691 | − | 0.0144667i | |||||
−0.940093 | − | 1.08493i | −0.0586414 | − | 0.0676758i | 0.725671 | − | 0.688042i | ||
−0.784312 | + | 0.620366i | ||||||||
0 | 0 | |||||||||
−10.3676 | + | 11.9648i | −0.644211 | + | 0.743459i | |||||
9.05939 | − | 63.0095i | 0.561840 | − | 3.90768i | |||||
0 | 0 | |||||||||
10.9906 | + | 7.06320i | 0.678999 | + | 0.436366i | |||||
2.04437 | + | 14.2189i | 0.126061 | + | 0.876774i | 0.950478 | + | 0.310791i | ||
−0.824417 | + | 0.565983i | ||||||||
0 | 0 | |||||||||
−4.36767 | − | 9.56386i | −0.268304 | − | 0.587503i | |||||
−1.50134 | − | 10.4421i | −0.0920531 | − | 0.640244i | |||||
0 | 0 | |||||||||
0.410006 | − | 0.120389i | 0.0250451 | − | 0.00735390i | |||||
−2.75934 | + | 19.1916i | −0.168240 | + | 1.17013i | 0.714281 | + | 0.699859i | ||
−0.882520 | + | 0.470274i | ||||||||
0 | 0 | |||||||||
13.7459 | − | 8.83395i | 0.835004 | − | 0.536624i | −0.0518607 | − | 0.998654i | ||
0.886864 | + | 0.462030i | ||||||||
19.5556 | + | 22.5684i | 1.18573 | + | 1.36841i | |||||
0 | 0 | |||||||||
−8.76346 | + | 19.1893i | −0.529420 | + | 1.15927i | |||||
−0.409837 | −0.0247141 | |||||||||
0 | 0 | |||||||||
20.1827 | 1.21266 | 0.606332 | − | 0.795212i | ||||||
0.606332 | + | 0.795212i | ||||||||
11.9314 | − | 26.1261i | 0.715598 | − | 1.56694i | |||||
0 | 0 | |||||||||
−35.7334 | − | 41.2386i | −2.13548 | − | 2.46448i | |||||
−7.16101 | + | 4.60210i | −0.427190 | + | 0.274538i | −0.736519 | − | 0.676417i | ||
0.309329 | + | 0.950955i | ||||||||
0 | 0 | |||||||||
0.480803 | − | 3.34406i | 0.0285808 | − | 0.198784i | −0.970528 | − | 0.240987i | ||
0.999109 | + | 0.0422038i | ||||||||
75.4246 | − | 22.1466i | 4.47562 | − | 1.31416i | |||||
0 | 0 | |||||||||
−0.194402 | − | 1.35209i | −0.0114952 | − | 0.0799509i | |||||
6.21649 | + | 13.6122i | 0.366948 | + | 0.803503i | |||||
0 | 0 | |||||||||
1.47597 | + | 10.2656i | 0.0868220 | + | 0.603861i | |||||
−9.26883 | − | 5.95672i | −0.544285 | − | 0.349791i | |||||
0 | 0 | |||||||||
0.502210 | − | 3.49295i | 0.0293896 | − | 0.204409i | |||||
−2.70239 | + | 3.11873i | −0.157876 | + | 0.182198i | −0.829177 | − | 0.558987i | ||
0.671301 | + | 0.741185i | ||||||||
0 | 0 | |||||||||
−5.16420 | − | 5.95981i | −0.300671 | − | 0.346993i | |||||
−54.0834 | − | 15.8803i | −3.14353 | − | 0.923024i | |||||
0 | 0 | |||||||||
−44.0249 | −2.55030 | |||||||||
−13.7094 | − | 15.5146i | −0.792837 | − | 0.897231i | |||||
0 | 0 | |||||||||
8.23643 | − | 18.0353i | 0.474740 | − | 1.03954i | |||||
−48.2339 | − | 14.1627i | −2.77555 | − | 0.814975i | |||||
0 | 0 | |||||||||
16.8522 | − | 10.8303i | 0.966542 | − | 0.621159i | |||||
−23.9174 | + | 27.6021i | −1.36951 | + | 1.58049i | |||||
0 | 0 | |||||||||
−9.98433 | + | 2.93166i | −0.569836 | + | 0.167319i | −0.553943 | − | 0.832555i | ||
−0.0158931 | + | 0.999874i | ||||||||
−1.16622 | − | 0.749485i | −0.0664517 | − | 0.0427059i | |||||
0 | 0 | |||||||||
−18.3893 | − | 40.2670i | −1.04444 | − | 2.28701i | |||||
−5.48023 | − | 12.0000i | −0.310756 | − | 0.680460i | 0.688230 | − | 0.725493i | ||
−0.998986 | + | 0.0450328i | ||||||||
0 | 0 | |||||||||
−11.5760 | − | 7.43943i | −0.654313 | − | 0.420501i | 0.170927 | − | 0.985284i | ||
−0.825240 | + | 0.564782i | ||||||||
−19.3018 | + | 5.66753i | −1.08927 | + | 0.319837i | |||||
0 | 0 | |||||||||
24.5651 | − | 28.3496i | 1.38189 | − | 1.59479i | |||||
12.0651 | − | 7.75378i | 0.677645 | − | 0.435496i | −0.156029 | − | 0.987752i | ||
0.833674 | + | 0.552257i | ||||||||
0 | 0 | |||||||||
−0.162716 | − | 0.0477777i | −0.00911033 | − | 0.00267504i | |||||
18.5416 | − | 40.6004i | 1.03651 | − | 2.26963i | |||||
0 | 0 | |||||||||
−29.2919 | + | 0.284406i | −1.63237 | + | 0.0158493i | |||||
−4.44676 | −0.247424 | |||||||||
0 | 0 | |||||||||
14.2697 | + | 4.18996i | 0.791541 | + | 0.232417i | |||||
−2.90741 | − | 3.35533i | −0.161026 | − | 0.185834i | |||||
0 | 0 | |||||||||
−34.8903 | + | 40.2656i | −1.92650 | + | 2.22329i | |||||
1.93442 | − | 13.4542i | 0.106648 | − | 0.741753i | |||||
0 | 0 | |||||||||
−9.95577 | − | 6.39818i | −0.547219 | − | 0.351676i | 0.237638 | − | 0.971354i | ||
−0.784856 | + | 0.619678i | ||||||||
2.00781 | + | 13.9646i | 0.110193 | + | 0.766407i | |||||
0 | 0 | |||||||||
−23.6821 | − | 51.8565i | −1.29583 | − | 2.83746i | |||||
0.0348286 | + | 0.242238i | 0.00190289 | + | 0.0132349i | |||||
0 | 0 | |||||||||
−25.6791 | + | 7.54006i | −1.39883 | + | 0.410733i | −0.892281 | − | 0.451480i | ||
−0.506547 | + | 0.862213i | ||||||||
−2.13370 | + | 14.8402i | −0.116058 | + | 0.807199i | |||||
0 | 0 | |||||||||
−31.9379 | + | 20.5252i | −1.73207 | + | 1.11314i | |||||
−0.446192 | − | 0.514933i | −0.0241626 | − | 0.0278852i | |||||
0 | 0 | |||||||||
−8.32469 | + | 18.2285i | −0.449491 | + | 0.984248i | |||||
70.5911 | 3.80602 | |||||||||
0 | 0 | |||||||||
16.8372 | 0.905174 | |||||||||
3.67463 | − | 8.04631i | 0.197264 | − | 0.431948i | −0.784989 | − | 0.619510i | ||
0.982253 | + | 0.187562i | ||||||||
0 | 0 | |||||||||
19.5011 | + | 22.5054i | 1.04387 | + | 1.20469i | 0.978376 | + | 0.206834i | ||
0.0654913 | + | 0.997853i | ||||||||
17.7017 | − | 11.3762i | 0.946198 | − | 0.608084i | |||||
0 | 0 | |||||||||
0.245433 | − | 1.70703i | 0.0130816 | − | 0.0909849i | |||||
−16.5145 | + | 4.84909i | −0.878978 | + | 0.258091i | −0.689930 | − | 0.723877i | ||
−0.189048 | + | 0.981968i | ||||||||
0 | 0 | |||||||||
6.40705 | + | 44.5620i | 0.340051 | + | 2.36511i | |||||
28.0030 | + | 61.3180i | 1.48416 | + | 3.24985i | |||||
0 | 0 | |||||||||
3.10104 | + | 21.5682i | 0.163895 | + | 1.13991i | |||||
5.99586 | + | 3.85331i | 0.316449 | + | 0.203370i | 0.689217 | − | 0.724555i | ||
−0.372767 | + | 0.927925i | ||||||||
0 | 0 | |||||||||
2.27946 | − | 15.8540i | 0.119972 | − | 0.834420i | |||||
−10.9946 | + | 12.6884i | −0.577862 | + | 0.666888i | |||||
0 | 0 | |||||||||
32.9432 | + | 38.0185i | 1.72669 | + | 1.99271i | |||||
1.93916 | + | 0.569389i | 0.101500 | + | 0.0298032i | |||||
0 | 0 | |||||||||
13.5836 | 0.709060 | 0.354530 | − | 0.935045i | ||||||
0.354530 | + | 0.935045i | ||||||||
−23.5976 | − | 50.3714i | −1.23011 | − | 2.62579i | |||||
0 | 0 | |||||||||
22.1350 | − | 48.4690i | 1.15075 | − | 2.51978i | |||||
7.97218 | + | 2.34084i | 0.413895 | + | 0.121531i | |||||
0 | 0 | |||||||||
15.7544 | − | 10.1247i | 0.815733 | − | 0.524240i | −0.0649821 | − | 0.997886i | ||
0.880715 | + | 0.473647i | ||||||||
−0.533493 | + | 0.615684i | −0.0275863 | + | 0.0318363i | |||||
0 | 0 | |||||||||
46.4339 | − | 13.6342i | 2.39465 | − | 0.703131i | |||||
5.17699 | + | 3.32705i | 0.266628 | + | 0.171352i | |||||
0 | 0 | |||||||||
−4.16129 | − | 9.11196i | −0.213751 | − | 0.468050i | 0.772137 | − | 0.635456i | ||
−0.985888 | + | 0.167406i | ||||||||
10.5796 | + | 23.1661i | 0.542722 | + | 1.18839i | |||||
0 | 0 | |||||||||
−28.9672 | − | 18.6161i | −1.48209 | − | 0.952482i | |||||
−27.9432 | + | 8.20488i | −1.42783 | + | 0.419250i | −0.902147 | − | 0.431429i | ||
−0.525686 | + | 0.850679i | ||||||||
0 | 0 | |||||||||
0.519924 | − | 0.600025i | 0.0264978 | − | 0.0305801i | |||||
28.2178 | − | 18.1345i | 1.43625 | − | 0.923022i | |||||
0 | 0 | |||||||||
41.4891 | + | 12.1823i | 2.10629 | + | 0.618462i | |||||
−1.82086 | + | 3.98712i | −0.0923211 | + | 0.202155i | −0.950159 | − | 0.311765i | ||
0.857838 | + | 0.513920i | ||||||||
0 | 0 | |||||||||
−1.63850 | + | 12.2384i | −0.0828624 | + | 0.618921i | |||||
−14.1130 | −0.712816 | |||||||||
0 | 0 | |||||||||
−37.0869 | − | 10.8897i | −1.86841 | − | 0.548616i | |||||
14.0687 | + | 16.2362i | 0.707875 | + | 0.816931i | |||||
0 | 0 | |||||||||
−0.0954283 | + | 0.110130i | −0.00478941 | + | 0.00552727i | −0.758139 | − | 0.652093i | ||
0.753350 | + | 0.657620i | ||||||||
−7.63595 | + | 53.1092i | −0.382756 | + | 2.66213i | |||||
0 | 0 | |||||||||
33.6138 | + | 21.6023i | 1.68069 | + | 1.08011i | |||||
−4.79060 | − | 33.3194i | −0.239231 | − | 1.66389i | −0.655912 | − | 0.754837i | ||
0.416681 | − | 0.909053i | ||||||||
0 | 0 | |||||||||
10.2711 | + | 22.4906i | 0.511640 | + | 1.12034i | |||||
5.04947 | + | 35.1198i | 0.251220 | + | 1.74728i | |||||
0 | 0 | |||||||||
8.35425 | − | 2.45303i | 0.414615 | − | 0.121742i | |||||
0.116718 | − | 0.811791i | 0.00578549 | − | 0.0402390i | |||||
0 | 0 | |||||||||
−25.4633 | + | 16.3642i | −1.25908 | + | 0.809160i | −0.988158 | − | 0.153442i | ||
−0.270920 | + | 0.962602i | ||||||||
−32.9823 | − | 38.0636i | −1.62888 | − | 1.87983i | |||||
0 | 0 | |||||||||
29.1227 | − | 63.7698i | 1.43477 | − | 3.14171i | |||||
6.23192 | 0.306653 | |||||||||
0 | 0 | |||||||||
−8.07995 | −0.396629 | |||||||||
−25.9973 | + | 56.9261i | −1.27462 | + | 2.79103i | |||||
0 | 0 | |||||||||
0.357879 | + | 0.413015i | 0.0175045 | + | 0.0202012i | |||||
−15.7624 | + | 10.1299i | −0.770044 | + | 0.494877i | −0.865716 | − | 0.500536i | ||
0.0956719 | + | 0.995413i | ||||||||
0 | 0 | |||||||||
−5.57819 | + | 38.7972i | −0.271864 | + | 1.89086i | 0.157173 | + | 0.987571i | ||
−0.429038 | + | 0.903287i | ||||||||
−19.0220 | + | 5.58537i | −0.925978 | + | 0.271892i | |||||
0 | 0 | |||||||||
4.20996 | + | 29.2809i | 0.204454 | + | 1.42201i | |||||
−3.68456 | − | 8.06806i | −0.178727 | − | 0.391358i | |||||
0 | 0 | |||||||||
−4.10755 | − | 28.5686i | −0.198778 | − | 1.38253i | |||||
−35.1001 | − | 22.5575i | −1.69663 | − | 1.09036i | |||||
0 | 0 | |||||||||
−9.49678 | + | 66.0515i | −0.457975 | + | 3.18529i | |||||
14.0594 | − | 16.2254i | 0.677217 | − | 0.781550i | −0.308271 | − | 0.951299i | ||
0.985487 | + | 0.169749i | ||||||||
0 | 0 | |||||||||
0.496613 | + | 0.573122i | 0.0238657 | + | 0.0275425i | 0.767557 | − | 0.640981i | ||
−0.743691 | + | 0.668523i | ||||||||
33.5655 | + | 9.85571i | 1.61119 | + | 0.473089i | |||||
0 | 0 | |||||||||
−87.6378 | −4.19709 | |||||||||
7.96980 | + | 2.25633i | 0.381247 | + | 0.107935i | |||||
0 | 0 | |||||||||
5.44584 | − | 11.9247i | 0.259916 | − | 0.569136i | −0.734016 | − | 0.679132i | ||
0.993932 | + | 0.109996i | ||||||||
2.71223 | + | 0.796382i | 0.129300 | + | 0.0379660i | |||||
0 | 0 | |||||||||
24.8696 | − | 15.9827i | 1.18293 | − | 0.760221i | |||||
−2.00368 | + | 2.31237i | −0.0951976 | + | 0.109864i | −0.801349 | − | 0.598197i | ||
0.706152 | + | 0.708061i | ||||||||
0 | 0 | |||||||||
−37.0426 | + | 10.8767i | −1.75599 | + | 0.515604i | |||||
3.76340 | + | 2.41859i | 0.178202 | + | 0.114524i | |||||
0 | 0 | |||||||||
14.6526 | + | 32.0847i | 0.692270 | + | 1.51586i | |||||
3.18597 | + | 6.97630i | 0.150355 | + | 0.329232i | 0.969790 | − | 0.243940i | ||
−0.819435 | + | 0.573172i | ||||||||
0 | 0 | |||||||||
−0.652151 | − | 0.419112i | −0.0307086 | − | 0.0197352i | |||||
36.5035 | − | 10.7184i | 1.71698 | − | 0.504151i | |||||
0 | 0 | |||||||||
18.7785 | − | 21.6716i | 0.881319 | − | 1.01710i | |||||
−24.2371 | + | 15.5762i | −1.13625 | + | 0.730225i | |||||
0 | 0 | |||||||||
−8.60068 | − | 2.52539i | −0.402323 | − | 0.118133i | 0.0743097 | − | 0.997235i | ||
−0.476633 | + | 0.879103i | ||||||||
24.2056 | − | 53.0030i | 1.13106 | − | 2.47667i | |||||
0 | 0 | |||||||||
67.6560 | − | 20.5812i | 3.15448 | − | 0.959602i | |||||
7.53704 | 0.351035 | 0.175517 | − | 0.984476i | ||||||
0.175517 | + | 0.984476i | ||||||||
0 | 0 | |||||||||
31.6291 | + | 9.28715i | 1.46993 | + | 0.431610i | 0.916076 | − | 0.401004i | ||
0.553853 | + | 0.832614i | ||||||||
10.8272 | + | 12.4953i | 0.502640 | + | 0.580078i | |||||
0 | 0 | |||||||||
43.3194 | − | 49.9932i | 2.00673 | − | 2.31589i | |||||
−1.91901 | + | 13.3470i | −0.0888010 | + | 0.617624i | 0.896015 | + | 0.444024i | ||
−0.984816 | + | 0.173601i | ||||||||
0 | 0 | |||||||||
−0.162697 | − | 0.104559i | −0.00751265 | − | 0.00482809i | |||||
6.51058 | + | 45.2821i | 0.300311 | + | 2.08871i | |||||
0 | 0 | |||||||||
9.21716 | + | 20.1828i | 0.424254 | + | 0.928987i | |||||
0.146173 | + | 1.01665i | 0.00672102 | + | 0.0467457i | |||||
0 | 0 | |||||||||
−5.70891 | + | 1.67629i | −0.261943 | + | 0.0769133i | |||||
4.26969 | − | 29.6964i | 0.195701 | − | 1.36113i | |||||
0 | 0 | |||||||||
−9.39042 | + | 6.03486i | −0.429508 | + | 0.276028i | |||||
−13.6684 | − | 15.7742i | −0.624524 | − | 0.720740i | 0.352035 | − | 0.935987i | ||
−0.976560 | + | 0.215247i | ||||||||
0 | 0 | |||||||||
−12.3632 | + | 27.0717i | −0.563715 | + | 1.23436i | |||||
−72.9548 | −3.32300 | |||||||||
0 | 0 | |||||||||
−55.7437 | −2.53380 | |||||||||
−10.2875 | + | 22.5265i | −0.467133 | + | 1.02288i | |||||
0 | 0 | |||||||||
5.41275 | + | 6.24665i | 0.245275 | + | 0.283063i | 0.865016 | − | 0.501744i | ||
−0.619741 | + | 0.784806i | ||||||||
86.4475 | − | 55.5564i | 3.91329 | − | 2.51492i | |||||
0 | 0 | |||||||||
1.89866 | − | 13.2055i | 0.0857727 | − | 0.596562i | |||||
−10.6572 | + | 3.12922i | −0.480951 | + | 0.141220i | −0.513216 | − | 0.858259i | ||
0.0322652 | + | 0.999479i | ||||||||
0 | 0 | |||||||||
−0.522312 | − | 3.63276i | −0.0235238 | − | 0.163611i | |||||
−8.23820 | − | 18.0391i | −0.370654 | − | 0.811619i | |||||
0 | 0 | |||||||||
9.45372 | + | 65.7520i | 0.424484 | + | 2.95235i | |||||
−29.9297 | − | 19.2347i | −1.34253 | − | 0.862792i | |||||
0 | 0 | |||||||||
0.865761 | − | 6.02150i | 0.0387568 | − | 0.269559i | −0.961224 | − | 0.275769i | ||
0.999981 | + | 0.00620960i | ||||||||
15.0158 | − | 17.3292i | 0.671527 | − | 0.774984i | |||||
0 | 0 | |||||||||
−22.5099 | − | 25.9778i | −1.00466 | − | 1.15944i | |||||
−7.54921 | − | 2.21665i | −0.336602 | − | 0.0988354i | 0.109063 | − | 0.994035i | ||
−0.445666 | + | 0.895199i | ||||||||
0 | 0 | |||||||||
−20.3204 | −0.904246 | |||||||||
1.26857 | − | 0.832773i | 0.0563948 | − | 0.0370213i | |||||
0 | 0 | |||||||||
−4.23383 | + | 9.27080i | −0.187846 | + | 0.411325i | |||||
28.5327 | + | 8.37797i | 1.26469 | + | 0.371347i | 0.844238 | − | 0.535968i | ||
0.420453 | + | 0.907315i | ||||||||
0 | 0 | |||||||||
−1.34359 | + | 0.863473i | −0.0594369 | + | 0.0381978i | |||||
14.1000 | − | 16.2723i | 0.623140 | − | 0.719142i | |||||
0 | 0 | |||||||||
−3.66354 | + | 1.07571i | −0.161592 | + | 0.0474476i | |||||
33.7764 | + | 21.7068i | 1.48836 | + | 0.956514i | |||||
0 | 0 | |||||||||
0.292510 | + | 0.640508i | 0.0128646 | + | 0.0281695i | |||||
17.4923 | + | 38.3029i | 0.768569 | + | 1.68293i | |||||
0 | 0 | |||||||||
−86.2926 | − | 55.4569i | −3.78418 | − | 2.43194i | |||||
−18.2067 | + | 5.34598i | −0.797651 | + | 0.234211i | −0.655066 | − | 0.755571i | ||
−0.142584 | + | 0.989783i | ||||||||
0 | 0 | |||||||||
17.3500 | − | 20.0229i | 0.758661 | − | 0.875542i | −0.236717 | − | 0.971579i | ||
0.995378 | + | 0.0960371i | ||||||||
20.9674 | − | 13.4749i | 0.915966 | − | 0.588656i | |||||
0 | 0 | |||||||||
36.6595 | + | 10.7642i | 1.59843 | + | 0.469342i | |||||
6.12558 | − | 13.4131i | 0.266834 | − | 0.584286i | |||||
0 | 0 | |||||||||
9.14651 | − | 21.1031i | 0.397674 | − | 0.917527i | |||||
−27.9643 | −1.21469 | |||||||||
0 | 0 | |||||||||
−19.3106 | − | 5.67011i | −0.837222 | − | 0.245831i | |||||
18.4218 | + | 21.2599i | 0.797938 | + | 0.920869i | |||||
0 | 0 | |||||||||
15.6483 | − | 18.0591i | 0.676535 | − | 0.780763i | |||||
0.0979933 | − | 0.681558i | 0.00423266 | − | 0.0294388i | |||||
0 | 0 | |||||||||
43.3829 | + | 27.8805i | 1.87037 | + | 1.20201i | |||||
−0.0292238 | − | 0.203256i | −0.00125876 | − | 0.00875485i | |||||
0 | 0 | |||||||||
13.5708 | + | 29.7159i | 0.583454 | + | 1.27759i | 0.939318 | + | 0.343049i | ||
−0.355863 | + | 0.934538i | ||||||||
−6.18490 | − | 43.0170i | −0.265664 | − | 1.84774i | |||||
0 | 0 | |||||||||
35.8111 | − | 10.5151i | 1.53539 | − | 0.450831i | |||||
7.14297 | − | 49.6805i | 0.305971 | − | 2.12808i | |||||
0 | 0 | |||||||||
38.2357 | − | 24.5726i | 1.63484 | − | 1.05065i | 0.689639 | − | 0.724153i | ||
0.945199 | − | 0.326494i | ||||||||
26.3553 | + | 30.4156i | 1.12584 | + | 1.29929i | |||||
0 | 0 | |||||||||
−0.452824 | + | 0.991547i | −0.0193085 | + | 0.0422797i | |||||
−2.46200 | −0.104885 | |||||||||
0 | 0 | |||||||||
−16.9775 | −0.721957 | |||||||||
22.2997 | − | 48.8295i | 0.947424 | − | 2.07457i | |||||
0 | 0 | |||||||||
−35.8826 | − | 41.4107i | −1.52176 | − | 1.75620i | |||||
−12.6601 | + | 8.13615i | −0.536425 | + | 0.344740i | −0.780639 | − | 0.624982i | ||
0.244214 | + | 0.969721i | ||||||||
0 | 0 | |||||||||
5.30430 | − | 36.8922i | 0.224348 | − | 1.56037i | |||||
−74.2699 | + | 21.8076i | −3.13848 | + | 0.921539i | |||||
0 | 0 | |||||||||
3.22206 | + | 22.4099i | 0.135915 | + | 0.945307i | |||||
14.1960 | + | 31.0849i | 0.598290 | + | 1.31007i | 0.930301 | + | 0.366796i | ||
−0.332012 | + | 0.943275i | ||||||||
0 | 0 | |||||||||
3.10084 | + | 21.5668i | 0.130453 | + | 0.907324i | |||||
−7.55928 | − | 4.85805i | −0.317740 | − | 0.204199i | |||||
0 | 0 | |||||||||
18.0268 | − | 125.379i | 0.756388 | − | 5.26079i | |||||
−12.0761 | + | 13.9366i | −0.506257 | + | 0.584252i | −0.950136 | − | 0.311835i | ||
0.443879 | + | 0.896087i | ||||||||
0 | 0 | |||||||||
−4.34404 | − | 5.01329i | −0.181792 | − | 0.209799i | 0.657538 | − | 0.753422i | ||
−0.839330 | + | 0.543622i | ||||||||
−2.50044 | − | 0.734196i | −0.104549 | − | 0.0306983i | |||||
0 | 0 | |||||||||
39.8015 | 1.66128 | |||||||||
2.50992 | + | 16.3297i | 0.104671 | + | 0.680997i | |||||
0 | 0 | |||||||||
−5.22293 | + | 11.4366i | −0.217433 | + | 0.476112i | −0.986646 | − | 0.162881i | ||
0.769213 | + | 0.638993i | ||||||||
26.4672 | + | 7.77146i | 1.10089 | + | 0.323250i | |||||
0 | 0 | |||||||||
−17.6828 | + | 11.3640i | −0.734237 | + | 0.471866i | |||||
4.18144 | − | 4.82563i | 0.173475 | − | 0.200201i | |||||
0 | 0 | |||||||||
−0.412986 | + | 0.121264i | −0.0171041 | + | 0.00502223i | |||||
−4.78365 | − | 3.07427i | −0.197949 | − | 0.127214i | |||||
0 | 0 | |||||||||
4.55952 | + | 9.98395i | 0.188352 | + | 0.412433i | |||||
−0.454966 | − | 0.996237i | −0.0187785 | − | 0.0411191i | 0.900010 | − | 0.435868i | ||
−0.918789 | + | 0.394749i | ||||||||
0 | 0 | |||||||||
−8.32147 | − | 5.34788i | −0.342880 | − | 0.220356i | |||||
−20.1249 | + | 5.90919i | −0.828527 | + | 0.243278i | |||||
0 | 0 | |||||||||
−52.3620 | + | 60.4290i | −2.15206 | + | 2.48361i | |||||
−1.95340 | + | 1.25538i | −0.0802167 | + | 0.0515521i | −0.580134 | − | 0.814521i | ||
0.499918 | + | 0.866073i | ||||||||
0 | 0 | |||||||||
16.4864 | + | 4.84084i | 0.675876 | + | 0.198455i | |||||
−34.8904 | + | 76.3994i | −1.42917 | + | 3.12944i | |||||
0 | 0 | |||||||||
−52.6829 | + | 16.0263i | −2.15436 | + | 0.655364i | |||||
43.0508 | 1.75901 | 0.879504 | − | 0.475892i | ||||||
0.879504 | + | 0.475892i | ||||||||
0 | 0 | |||||||||
−12.7347 | − | 3.73926i | −0.519461 | − | 0.152527i | 0.0114837 | − | 0.999934i | ||
−0.530944 | + | 0.847407i | ||||||||
−34.5337 | − | 39.8540i | −1.40749 | − | 1.62433i | |||||
0 | 0 | |||||||||
−62.8036 | + | 72.4793i | −2.55544 | + | 2.94914i | |||||
4.54342 | − | 31.6002i | 0.184716 | − | 1.28473i | |||||
0 | 0 | |||||||||
−27.6867 | − | 17.7932i | −1.12377 | − | 0.722203i | −0.159520 | − | 0.987195i | ||
−0.964251 | + | 0.264991i | ||||||||
−3.56315 | − | 24.7822i | −0.144505 | − | 1.00505i | |||||
0 | 0 | |||||||||
40.3537 | + | 88.3623i | 1.63387 | + | 3.57769i | |||||
−3.63640 | − | 25.2917i | −0.147113 | − | 1.02319i | |||||
0 | 0 | |||||||||
38.7731 | − | 11.3848i | 1.56603 | − | 0.459828i | 0.620188 | − | 0.784454i | ||
0.945843 | + | 0.324626i | ||||||||
−3.93880 | + | 27.3950i | −0.158957 | + | 1.10557i | |||||
0 | 0 | |||||||||
−1.87923 | + | 1.20770i | −0.0757162 | + | 0.0486598i | |||||
19.6464 | + | 22.6732i | 0.790935 | + | 0.912788i | 0.997848 | − | 0.0655717i | ||
−0.206913 | + | 0.978359i | ||||||||
0 | 0 | |||||||||
11.0046 | − | 24.0967i | 0.442313 | − | 0.968530i | −0.548855 | − | 0.835918i | ||
0.991168 | − | 0.132613i | ||||||||
−84.4517 | −3.39166 | |||||||||
0 | 0 | |||||||||
−35.0876 | −1.40688 | |||||||||
12.6739 | − | 27.7519i | 0.507768 | − | 1.11186i | |||||
0 | 0 | |||||||||
19.8796 | + | 22.9423i | 0.795185 | + | 0.917692i | |||||
−30.7889 | + | 19.7868i | −1.23057 | + | 0.790841i | |||||
0 | 0 | |||||||||
−5.46176 | + | 37.9874i | −0.217948 | + | 1.51586i | |||||
17.0303 | − | 5.00054i | 0.679041 | − | 0.199385i | |||||
0 | 0 | |||||||||
−2.28418 | − | 15.8868i | −0.0909316 | − | 0.632443i | −0.983416 | − | 0.181365i | ||
0.892484 | − | 0.451079i | ||||||||
−25.1101 | − | 54.9835i | −0.998827 | − | 2.18713i | |||||
0 | 0 | |||||||||
−5.42865 | − | 37.7571i | −0.215599 | − | 1.49953i | |||||
−4.91038 | − | 3.15571i | −0.194863 | − | 0.125231i | |||||
0 | 0 | |||||||||
−1.06047 | + | 7.37574i | −0.0420174 | + | 0.292237i | |||||
−0.295375 | + | 0.340881i | −0.0116940 | + | 0.0134956i | |||||
0 | 0 | |||||||||
−22.5668 | − | 26.0435i | −0.892031 | − | 1.02946i | |||||
−44.9585 | − | 13.2010i | −1.77575 | − | 0.521408i | −0.781074 | − | 0.624438i | ||
−0.994678 | + | 0.103030i | ||||||||
0 | 0 | |||||||||
−27.2328 | −1.07396 | −0.536979 | − | 0.843596i | ||||||
−0.536979 | + | 0.843596i | ||||||||
−22.7207 | + | 51.0575i | −0.895321 | + | 2.01195i | |||||
0 | 0 | |||||||||
−4.91317 | + | 10.7584i | −0.193306 | + | 0.423282i | |||||
23.7997 | + | 6.98823i | 0.935664 | + | 0.274736i | 0.713806 | − | 0.700343i | ||
0.221858 | + | 0.975079i | ||||||||
0 | 0 | |||||||||
−0.271586 | + | 0.174538i | −0.0106607 | + | 0.00685121i | |||||
25.9035 | − | 29.8943i | 1.01602 | − | 1.17255i | |||||
0 | 0 | |||||||||
−8.12689 | + | 2.38627i | −0.318274 | + | 0.0934535i | |||||
24.7733 | + | 15.9208i | 0.969455 | + | 0.623031i | 0.926599 | − | 0.376050i | ||
0.0428558 | + | 0.999081i | ||||||||
0 | 0 | |||||||||
5.92976 | + | 12.9844i | 0.231695 | + | 0.507341i | |||||
31.3967 | + | 68.7491i | 1.22583 | + | 2.68420i | |||||
0 | 0 | |||||||||
−30.4133 | − | 19.5455i | −1.18563 | − | 0.761961i | |||||
13.4131 | − | 3.93844i | 0.522500 | − | 0.153420i | −0.00983813 | − | 0.999952i | ||
0.532338 | + | 0.846532i | ||||||||
0 | 0 | |||||||||
16.2537 | − | 18.7578i | 0.632196 | − | 0.729593i | −0.345779 | − | 0.938316i | ||
0.977975 | + | 0.208723i | ||||||||
−26.4796 | + | 17.0174i | −1.02916 | + | 0.661400i | |||||
0 | 0 | |||||||||
21.8128 | + | 6.40481i | 0.846501 | + | 0.248555i | |||||
4.78822 | − | 10.4847i | 0.185679 | − | 0.406580i | |||||
0 | 0 | |||||||||
−0.907174 | + | 6.77593i | −0.0351259 | + | 0.262365i | |||||
−108.758 | −4.20799 | |||||||||
0 | 0 | |||||||||
0.624545 | + | 0.183383i | 0.0241283 | + | 0.00708470i | |||||
0.979129 | + | 1.12998i | 0.0377989 | + | 0.0436222i | |||||
0 | 0 | |||||||||
−5.82979 | + | 6.72793i | −0.224722 | + | 0.259343i | −0.856903 | − | 0.515478i | ||
0.632181 | + | 0.774821i | ||||||||
−10.1303 | + | 70.4581i | −0.390206 | + | 2.71395i | |||||
0 | 0 | |||||||||
24.0622 | + | 15.4638i | 0.925468 | + | 0.594762i | |||||
0.401463 | + | 2.79223i | 0.0154295 | + | 0.107314i | 0.996081 | − | 0.0884485i | ||
−0.980651 | + | 0.195763i | ||||||||
0 | 0 | |||||||||
−8.12978 | − | 17.8017i | −0.311992 | − | 0.683168i | |||||
8.70616 | + | 60.5527i | 0.333866 | + | 2.32209i | |||||
0 | 0 | |||||||||
−1.73881 | + | 0.510560i | −0.0665823 | + | 0.0195503i | |||||
2.95100 | − | 20.5247i | 0.112917 | − | 0.785355i | −0.852140 | − | 0.523314i | ||
0.965057 | − | 0.262041i | ||||||||
0 | 0 | |||||||||
−19.3902 | + | 12.4613i | −0.740862 | + | 0.476123i | |||||
34.9037 | + | 40.2810i | 1.33263 | + | 1.53794i | |||||
0 | 0 | |||||||||
41.5985 | − | 91.0880i | 1.58593 | − | 3.47270i | |||||
15.6191 | 0.595040 | |||||||||
0 | 0 | |||||||||
1.36601 | 0.0519655 | 0.0259827 | − | 0.999662i | ||||||
0.0259827 | + | 0.999662i | ||||||||
13.3437 | − | 29.2187i | 0.507253 | − | 1.11073i | |||||
0 | 0 | |||||||||
−15.4069 | − | 17.7806i | −0.584840 | − | 0.674941i | |||||
26.3997 | − | 16.9660i | 1.00140 | − | 0.643558i | |||||
0 | 0 | |||||||||
2.38761 | − | 16.6062i | 0.0904373 | − | 0.629005i | |||||
75.9955 | − | 22.3143i | 2.87647 | − | 0.844608i | |||||
0 | 0 | |||||||||
−5.71301 | − | 39.7348i | −0.215931 | − | 1.50184i | |||||
−12.5045 | − | 27.3810i | −0.472288 | − | 1.03417i | −0.984512 | − | 0.175315i | ||
0.512224 | − | 0.858852i | ||||||||
0 | 0 | |||||||||
−1.69449 | − | 11.7854i | −0.0639087 | − | 0.444495i | |||||
−1.53716 | − | 0.987870i | −0.0579337 | − | 0.0372317i | |||||
0 | 0 | |||||||||
−6.51494 | + | 45.3124i | −0.245193 | + | 1.70535i | |||||
10.5160 | − | 12.1361i | 0.395493 | − | 0.456424i | |||||
0 | 0 | |||||||||
25.9980 | + | 30.0033i | 0.976375 | + | 1.12680i | 0.991913 | + | 0.126918i | ||
−0.0155379 | + | 0.999879i | ||||||||
114.891 | + | 33.7351i | 4.31179 | + | 1.26605i | |||||
0 | 0 | |||||||||
108.623 | 4.07080 | |||||||||
−17.7847 | + | 20.9318i | −0.666041 | + | 0.783903i | |||||
0 | 0 | |||||||||
0.620004 | − | 1.35762i | 0.0231868 | − | 0.0507721i | |||||
39.8863 | + | 11.7117i | 1.49062 | + | 0.437686i | |||||
0 | 0 | |||||||||
15.9473 | − | 10.2487i | 0.595149 | − | 0.382479i | |||||
−6.00668 | + | 6.93208i | −0.224011 | + | 0.258523i | −0.856619 | − | 0.515950i | ||
0.632608 | + | 0.774473i | ||||||||
0 | 0 | |||||||||
−30.4436 | + | 8.93904i | −1.13378 | + | 0.332907i | |||||
−35.8381 | − | 23.0318i | −1.33376 | − | 0.857153i | |||||
0 | 0 | |||||||||
13.3057 | + | 29.1354i | 0.494502 | + | 1.08281i | |||||
−2.04000 | − | 4.46698i | −0.0757637 | − | 0.165899i | |||||
0 | 0 | |||||||||
−3.19987 | − | 2.05643i | −0.118676 | − | 0.0762687i | 0.479956 | − | 0.877293i | ||
−0.598632 | + | 0.801024i | ||||||||
77.7779 | − | 22.8376i | 2.88264 | − | 0.846419i | |||||
0 | 0 | |||||||||
3.52012 | − | 4.06244i | 0.130286 | − | 0.150358i | |||||
−18.6997 | + | 12.0176i | −0.691634 | + | 0.444486i | |||||
0 | 0 | |||||||||
−39.2138 | − | 11.5142i | −1.44839 | − | 0.425287i | −0.539384 | − | 0.842060i | ||
−0.909011 | + | 0.416773i | ||||||||
15.0084 | − | 32.8638i | 0.553971 | − | 1.21303i | |||||
0 | 0 | |||||||||
−69.5187 | + | 0.674985i | −2.56249 | + | 0.0248803i | |||||
0.0100187 | 0.000369044 | |||||||||
0 | 0 | |||||||||
28.0767 | + | 8.24407i | 1.03282 | + | 0.303263i | 0.753856 | − | 0.657039i | ||
0.278962 | + | 0.960302i | ||||||||
−66.5690 | − | 76.8248i | −2.44713 | − | 2.82413i | |||||
0 | 0 | |||||||||
14.4717 | − | 16.7013i | 0.531274 | − | 0.613123i | |||||
−1.23262 | + | 8.57306i | −0.0452204 | + | 0.314515i | 0.954639 | + | 0.297765i | ||
−0.999860 | + | 0.0167502i | ||||||||
0 | 0 | |||||||||
−40.4658 | − | 26.0058i | −1.48255 | − | 0.952778i | |||||
−7.08863 | − | 49.3025i | −0.259533 | − | 1.80509i | |||||
0 | 0 | |||||||||
0.645636 | + | 1.41374i | 0.0236068 | + | 0.0516916i | |||||
2.68742 | + | 18.6914i | 0.0981964 | + | 0.682971i | |||||
0 | 0 | |||||||||
−6.59622 | + | 1.93683i | −0.240700 | + | 0.0706758i | −0.399857 | − | 0.916577i | ||
0.159158 | + | 0.987253i | ||||||||
9.76987 | − | 67.9509i | 0.356270 | − | 2.47792i | |||||
0 | 0 | |||||||||
13.7694 | − | 8.84903i | 0.501450 | − | 0.322263i | |||||
−35.9685 | − | 41.5098i | −1.30903 | − | 1.51070i | |||||
0 | 0 | |||||||||
−1.31155 | + | 2.87190i | −0.0476692 | + | 0.104381i | −0.931968 | − | 0.362540i | ||
0.884299 | + | 0.466921i | ||||||||
−26.6430 | −0.967717 | |||||||||
0 | 0 | |||||||||
41.0378 | 1.48860 | |||||||||
−7.11532 | + | 15.5804i | −0.257930 | + | 0.564788i | −0.993652 | − | 0.112495i | ||
0.735722 | + | 0.677284i | ||||||||
0 | 0 | |||||||||
25.9744 | + | 29.9760i | 0.940336 | + | 1.08521i | |||||
−55.2627 | + | 35.5152i | −1.99933 | + | 1.28489i | |||||
0 | 0 | |||||||||
−11.0236 | + | 76.6706i | −0.398298 | + | 2.77022i | |||||
11.2405 | − | 3.30050i | 0.405870 | − | 0.119174i | |||||
0 | 0 | |||||||||
3.01514 | + | 20.9707i | 0.108729 | + | 0.756224i | 0.969120 | + | 0.246590i | ||
−0.860391 | + | 0.509634i | ||||||||
−0.877223 | − | 1.92085i | −0.0316129 | − | 0.0692227i | |||||
0 | 0 | |||||||||
−9.10694 | − | 63.3401i | −0.327766 | − | 2.27966i | |||||
−4.49268 | − | 2.88727i | −0.161590 | − | 0.103848i | 0.457346 | − | 0.889289i | ||
−0.618937 | + | 0.785441i | ||||||||
0 | 0 | |||||||||
2.80791 | − | 19.5294i | 0.100863 | − | 0.701518i | |||||
45.6287 | − | 52.6584i | 1.63798 | − | 1.89033i | |||||
0 | 0 | |||||||||
7.63448 | + | 8.81066i | 0.273709 | + | 0.315877i | |||||
−10.7985 | − | 3.17073i | −0.386897 | − | 0.113603i | |||||
0 | 0 | |||||||||
1.84304 | 0.0659491 | |||||||||
27.7988 | + | 17.4862i | 0.994084 | + | 0.625305i | |||||
0 | 0 | |||||||||
−8.31664 | + | 18.2109i | −0.297023 | + | 0.650390i | |||||
−21.0893 | − | 6.19236i | −0.752708 | − | 0.221015i | |||||
0 | 0 | |||||||||
36.6862 | − | 23.5768i | 1.30772 | − | 0.840423i | 0.313693 | − | 0.949525i | ||
0.994031 | + | 0.109102i | ||||||||
−48.2896 | + | 55.7292i | −1.72025 | + | 1.98527i | |||||
0 | 0 | |||||||||
54.8257 | − | 16.0983i | 1.95061 | − | 0.572751i | |||||
−14.4852 | − | 9.30907i | −0.515034 | − | 0.330992i | |||||
0 | 0 | |||||||||
−22.5390 | − | 49.3536i | −0.800385 | − | 1.75260i | |||||
0.161008 | + | 0.352558i | 0.00571396 | + | 0.0125118i | |||||
0 | 0 | |||||||||
86.1124 | + | 55.3410i | 3.05217 | + | 1.96151i | |||||
−11.1289 | + | 3.26774i | −0.394205 | + | 0.115749i | −0.472827 | − | 0.881155i | ||
0.0786214 | + | 0.996905i | ||||||||
0 | 0 | |||||||||
−9.97930 | + | 11.5167i | −0.353042 | + | 0.407432i | |||||
42.0117 | − | 26.9993i | 1.48534 | − | 0.954570i | |||||
0 | 0 | |||||||||
−85.9050 | − | 25.2240i | −3.03341 | − | 0.890690i | |||||
0.0343701 | − | 0.0752600i | 0.00121289 | − | 0.00265587i | |||||
0 | 0 | |||||||||
−27.0918 | − | 17.0415i | −0.954860 | − | 0.600632i | |||||
65.7615 | 2.31635 | |||||||||
0 | 0 | |||||||||
54.8574 | + | 16.1076i | 1.92988 | + | 0.566663i | |||||
−5.11925 | − | 5.90793i | −0.179983 | − | 0.207712i | 0.658588 | − | 0.752504i | ||
−0.838571 | + | 0.544792i | ||||||||
0 | 0 | |||||||||
−7.54232 | + | 8.70430i | −0.264847 | + | 0.305649i | −0.872560 | − | 0.488507i | ||
0.607713 | + | 0.794157i | ||||||||
2.36397 | − | 16.4418i | 0.0829590 | − | 0.576993i | |||||
0 | 0 | |||||||||
−1.83506 | − | 1.17932i | −0.0643189 | − | 0.0413353i | |||||
−0.690351 | − | 4.80149i | −0.0241819 | − | 0.168189i | |||||
0 | 0 | |||||||||
6.19438 | + | 13.5638i | 0.216714 | + | 0.474538i | |||||
11.4571 | + | 79.6858i | 0.400588 | + | 2.78615i | |||||
0 | 0 | |||||||||
−92.1932 | + | 27.0704i | −3.21953 | + | 0.945339i | |||||
−0.0743036 | + | 0.516793i | −0.00259321 | + | 0.0180362i | −0.991077 | − | 0.133291i | ||
0.988484 | + | 0.151327i | ||||||||
0 | 0 | |||||||||
−28.0088 | + | 18.0002i | −0.976327 | + | 0.627447i | −0.928470 | − | 0.371407i | ||
−0.0478569 | + | 0.998854i | ||||||||
−73.9768 | − | 85.3738i | −2.57711 | − | 2.97414i | |||||
0 | 0 | |||||||||
6.88558 | − | 15.0773i | 0.239580 | − | 0.524607i | |||||
−24.2079 | −0.841791 | −0.420895 | − | 0.907109i | ||||||
−0.420895 | + | 0.907109i | ||||||||
0 | 0 | |||||||||
26.4851 | 0.919866 | 0.459933 | − | 0.887954i | ||||||
0.459933 | + | 0.887954i | ||||||||
−8.92746 | + | 19.5484i | −0.309876 | + | 0.678535i | |||||
0 | 0 | |||||||||
43.4212 | + | 50.1108i | 1.50536 | + | 1.73728i | |||||
3.73857 | − | 2.40263i | 0.129534 | − | 0.0832463i | |||||
0 | 0 | |||||||||
8.86442 | − | 61.6534i | 0.306766 | − | 2.13360i | |||||
1.00036 | − | 0.293731i | 0.0345981 | − | 0.0101589i | |||||
0 | 0 | |||||||||
7.09223 | + | 49.3275i | 0.244997 | + | 1.70399i | |||||
16.0962 | + | 35.2458i | 0.555703 | + | 1.21682i | 0.954067 | + | 0.299593i | ||
−0.398364 | + | 0.917228i | ||||||||
0 | 0 | |||||||||
3.83795 | + | 26.6935i | 0.132343 | + | 0.920465i | |||||
87.7014 | + | 56.3623i | 3.02239 | + | 1.94237i | |||||
0 | 0 | |||||||||
−5.38258 | + | 37.4367i | −0.185276 | + | 1.28862i | |||||
−10.7274 | + | 12.3801i | −0.369033 | + | 0.425887i | |||||
0 | 0 | |||||||||
16.5215 | + | 19.0668i | 0.567685 | + | 0.655144i | |||||
40.2638 | + | 11.8225i | 1.38267 | + | 0.405987i | |||||
0 | 0 | |||||||||
−23.5907 | −0.809153 | |||||||||
−33.0602 | + | 0.320995i | −1.13329 | + | 0.0110036i | |||||
0 | 0 | |||||||||
3.66776 | − | 8.03127i | 0.125582 | − | 0.274985i | −0.836390 | − | 0.548135i | ||
0.961972 | + | 0.273149i | ||||||||
−73.6565 | − | 21.6275i | −2.52047 | − | 0.740078i | |||||
0 | 0 | |||||||||
−56.5596 | + | 36.3486i | −1.93317 | + | 1.24237i | |||||
−0.448206 | + | 0.517257i | −0.0153104 | + | 0.0176692i | −0.763353 | − | 0.645981i | ||
0.748043 | + | 0.663651i | ||||||||
0 | 0 | |||||||||
−12.1210 | + | 3.55905i | −0.413563 | + | 0.121433i | −0.481894 | − | 0.876230i | ||
0.0683306 | + | 0.997663i | ||||||||
107.097 | + | 68.8272i | 3.65199 | + | 2.34699i | |||||
0 | 0 | |||||||||
−23.7212 | − | 51.9421i | −0.807946 | − | 1.76916i | |||||
2.36065 | + | 5.16909i | 0.0803573 | + | 0.175958i | 0.945546 | − | 0.325488i | ||
−0.865189 | + | 0.501446i | ||||||||
0 | 0 | |||||||||
15.4760 | + | 9.94583i | 0.526200 | + | 0.338168i | |||||
1.93530 | − | 0.568255i | 0.0657641 | − | 0.0193101i | |||||
0 | 0 | |||||||||
43.7044 | − | 50.4376i | 1.48342 | − | 1.71196i | |||||
0.739876 | − | 0.475490i | 0.0250986 | − | 0.0161299i | |||||
0 | 0 | |||||||||
−0.348831 | − | 0.102426i | −0.0118197 | − | 0.00347058i | |||||
−58.6640 | + | 128.456i | −1.98661 | + | 4.35008i | |||||
0 | 0 | |||||||||
14.2646 | − | 16.7889i | 0.482509 | − | 0.567893i | |||||
−10.3778 | −0.350833 | |||||||||
0 | 0 | |||||||||
21.7361 | + | 6.38228i | 0.733974 | + | 0.215514i | 0.627298 | − | 0.778779i | ||
0.106677 | + | 0.994294i | ||||||||
−22.8333 | − | 26.3510i | −0.770585 | − | 0.889303i | |||||
0 | 0 | |||||||||
2.62590 | − | 3.03045i | 0.0885191 | − | 0.102157i | |||||
−3.21562 | + | 22.3652i | −0.108337 | + | 0.753501i | 0.861149 | + | 0.508353i | ||
−0.969486 | + | 0.245148i | ||||||||
0 | 0 | |||||||||
34.5835 | + | 22.2255i | 1.16383 | + | 0.747947i | 0.972345 | − | 0.233549i | ||
0.191483 | + | 0.981496i | ||||||||
−8.02634 | − | 55.8244i | −0.269955 | − | 1.87758i | |||||
0 | 0 | |||||||||
3.38063 | + | 7.40255i | 0.113575 | + | 0.248693i | |||||
−0.776455 | − | 5.40036i | −0.0260708 | − | 0.181326i | 0.972625 | − | 0.232380i | ||
−0.998696 | + | 0.0510534i | ||||||||
0 | 0 | |||||||||
4.42586 | − | 1.29955i | 0.148439 | − | 0.0435855i | |||||
−14.6132 | + | 101.637i | −0.489837 | + | 3.40689i | |||||
0 | 0 | |||||||||
7.17970 | − | 4.61411i | 0.240394 | − | 0.154492i | |||||
6.69434 | + | 7.72569i | 0.224018 | + | 0.258530i | |||||
0 | 0 | |||||||||
−9.89011 | + | 21.6563i | −0.330590 | + | 0.723891i | |||||
27.2326 | 0.909776 | |||||||||
0 | 0 | |||||||||
20.3984 | 0.680703 | |||||||||
3.39150 | − | 7.42635i | 0.113113 | − | 0.247683i | |||||
0 | 0 | |||||||||
−6.10007 | − | 7.03986i | −0.203223 | − | 0.234532i | |||||
−1.73454 | + | 1.11472i | −0.0577540 | + | 0.0371162i | |||||
0 | 0 | |||||||||
8.72450 | − | 60.6802i | 0.290173 | − | 2.01819i | |||||
−17.6008 | + | 5.16807i | −0.585072 | + | 0.171793i | |||||
0 | 0 | |||||||||
−4.00188 | − | 27.8337i | −0.132880 | − | 0.924202i | −0.941774 | − | 0.336247i | ||
0.808894 | − | 0.587955i | ||||||||
−22.7258 | − | 49.7626i | −0.754183 | − | 1.65143i | |||||
0 | 0 | |||||||||
10.9054 | + | 75.8485i | 0.361509 | + | 2.51435i | |||||
48.0980 | + | 30.9107i | 1.59356 | + | 1.02412i | 0.970239 | + | 0.242151i | ||
0.623320 | + | 0.781967i | ||||||||
0 | 0 | |||||||||
−0.0470745 | + | 0.327410i | −0.00155794 | + | 0.0108357i | |||||
−15.6127 | + | 18.0180i | −0.516421 | + | 0.595981i | |||||
0 | 0 | |||||||||
−72.7962 | − | 84.0113i | −2.40525 | − | 2.77581i | |||||
−10.8234 | − | 3.17804i | −0.357421 | − | 0.104948i | |||||
0 | 0 | |||||||||
16.3674 | 0.539909 | 0.269955 | − | 0.962873i | ||||||
0.269955 | + | 0.962873i | ||||||||
15.1212 | − | 112.944i | 0.498532 | − | 3.72367i | |||||
0 | 0 | |||||||||
8.32759 | − | 18.2349i | 0.274255 | − | 0.600534i | |||||
−64.1709 | − | 18.8423i | −2.11221 | − | 0.620201i | |||||
0 | 0 | |||||||||
19.9790 | − | 12.8397i | 0.656907 | − | 0.422168i | |||||
57.4157 | − | 66.2613i | 1.88680 | − | 2.17748i | |||||
0 | 0 | |||||||||
19.8272 | − | 5.82181i | 0.650861 | − | 0.191110i | |||||
−32.1390 | − | 20.6545i | −1.05445 | − | 0.677651i | −0.105928 | − | 0.994374i | ||
−0.948518 | + | 0.316723i | ||||||||
0 | 0 | |||||||||
−1.23842 | − | 2.71177i | −0.0405877 | − | 0.0888746i | |||||
−52.4253 | − | 114.795i | −1.71725 | − | 3.76025i | |||||
0 | 0 | |||||||||
30.1710 | + | 19.3897i | 0.987225 | + | 0.634451i | |||||
−0.854051 | + | 0.250772i | −0.0279305 | + | 0.00820112i | |||||
0 | 0 | |||||||||
−9.21800 | + | 10.6381i | −0.301139 | + | 0.347533i | −0.886071 | − | 0.463549i | ||
0.584932 | + | 0.811082i | ||||||||
−0.432730 | + | 0.278098i | −0.0141291 | + | 0.00908023i | |||||
0 | 0 | |||||||||
83.7407 | + | 24.5885i | 2.73132 | + | 0.801988i | |||||
18.0891 | − | 39.6097i | 0.589689 | − | 1.29124i | −0.345940 | − | 0.938256i | ||
0.935630 | − | 0.352983i | ||||||||
0 | 0 | |||||||||
−12.7054 | + | 28.5514i | −0.413745 | + | 0.929760i | |||||
31.4746 | 1.02441 | |||||||||
0 | 0 | |||||||||
2.62116 | + | 0.769643i | 0.0852214 | + | 0.0250233i | |||||
20.1689 | + | 23.2762i | 0.655403 | + | 0.756375i | 0.982019 | − | 0.188782i | ||
−0.326616 | + | 0.945157i | ||||||||
0 | 0 | |||||||||
−1.96612 | + | 2.26902i | −0.0638229 | + | 0.0736556i | |||||
−2.25215 | + | 15.6641i | −0.0730695 | + | 0.508210i | |||||
0 | 0 | |||||||||
−40.6697 | − | 26.1368i | −1.31811 | − | 0.847100i | |||||
7.63117 | + | 53.0760i | 0.247198 | + | 1.71930i | 0.614261 | + | 0.789103i | ||
−0.367063 | + | 0.930196i | ||||||||
0 | 0 | |||||||||
−15.6288 | − | 34.2222i | −0.505734 | − | 1.10740i | |||||
3.03063 | + | 21.0785i | 0.0980177 | + | 0.681728i | |||||
0 | 0 | |||||||||
−53.2656 | + | 15.6402i | −1.72093 | + | 0.505312i | |||||
2.59223 | − | 18.0294i | 0.0837075 | − | 0.582198i | |||||
0 | 0 | |||||||||
1.51558 | − | 0.974001i | 0.0488895 | − | 0.0314194i | |||||
51.8365 | + | 59.8225i | 1.67127 | + | 1.92875i | |||||
0 | 0 | |||||||||
−57.8178 | + | 126.603i | −1.86219 | + | 4.07762i | |||||
36.6487 | 1.17976 | |||||||||
0 | 0 | |||||||||
−35.8006 | −1.15127 | −0.575635 | − | 0.817707i | ||||||
−0.575635 | + | 0.817707i | ||||||||
−37.3143 | + | 81.7070i | −1.19933 | + | 2.62616i | |||||
0 | 0 | |||||||||
43.1335 | + | 49.7787i | 1.38493 | + | 1.59830i | |||||
17.7167 | − | 11.3859i | 0.568557 | − | 0.365390i | −0.224558 | − | 0.974461i | ||
0.793116 | + | 0.609071i | ||||||||
0 | 0 | |||||||||
−3.52931 | + | 24.5469i | −0.113144 | + | 0.786937i | |||||
21.0934 | − | 6.19359i | 0.675878 | − | 0.198456i | |||||
0 | 0 | |||||||||
−20.7454 | − | 144.287i | −0.664043 | − | 4.61852i | |||||
17.6014 | + | 38.5417i | 0.563119 | + | 1.23306i | 0.950381 | + | 0.311088i | ||
−0.387262 | + | 0.921970i | ||||||||
0 | 0 | |||||||||
0.224924 | + | 1.56438i | 0.00718860 | + | 0.0499978i | |||||
−21.4116 | − | 13.7604i | −0.683968 | − | 0.439560i | |||||
0 | 0 | |||||||||
−4.20423 | + | 29.2411i | −0.134162 | + | 0.933120i | |||||
18.1016 | − | 20.8903i | 0.577351 | − | 0.666299i | −0.389682 | − | 0.920949i | ||
0.967033 | + | 0.254651i | ||||||||
0 | 0 | |||||||||
−27.6561 | − | 31.9168i | −0.881196 | − | 1.01695i | |||||
−9.36610 | − | 2.75013i | −0.298277 | − | 0.0875821i | |||||
0 | 0 | |||||||||
−37.8334 | −1.20364 | |||||||||
39.6128 | − | 12.0503i | 1.25961 | − | 0.383179i | |||||
0 | 0 | |||||||||
−18.8737 | + | 41.3276i | −0.599543 | + | 1.31282i | 0.329958 | + | 0.943996i | ||
−0.929501 | + | 0.368820i | ||||||||
79.6613 | + | 23.3907i | 2.52925 | + | 0.742654i | |||||
0 | 0 | |||||||||
−79.6048 | + | 51.1589i | −2.52491 | + | 1.62266i | |||||
−38.3906 | + | 44.3051i | −1.21706 | + | 1.40457i | |||||
0 | 0 | |||||||||
12.5546 | − | 3.68635i | 0.397607 | − | 0.116748i | −0.0768154 | − | 0.997045i | ||
0.474422 | + | 0.880297i | ||||||||
−13.6117 | − | 8.74769i | −0.430870 | − | 0.276903i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 207.2.i.d.190.2 | 20 | ||
3.2 | odd | 2 | 69.2.e.c.52.1 | yes | 20 | ||
23.2 | even | 11 | 4761.2.a.bt.1.10 | 10 | |||
23.4 | even | 11 | inner | 207.2.i.d.73.2 | 20 | ||
23.21 | odd | 22 | 4761.2.a.bu.1.10 | 10 | |||
69.2 | odd | 22 | 1587.2.a.u.1.1 | 10 | |||
69.44 | even | 22 | 1587.2.a.t.1.1 | 10 | |||
69.50 | odd | 22 | 69.2.e.c.4.1 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.e.c.4.1 | ✓ | 20 | 69.50 | odd | 22 | ||
69.2.e.c.52.1 | yes | 20 | 3.2 | odd | 2 | ||
207.2.i.d.73.2 | 20 | 23.4 | even | 11 | inner | ||
207.2.i.d.190.2 | 20 | 1.1 | even | 1 | trivial | ||
1587.2.a.t.1.1 | 10 | 69.44 | even | 22 | |||
1587.2.a.u.1.1 | 10 | 69.2 | odd | 22 | |||
4761.2.a.bt.1.10 | 10 | 23.2 | even | 11 | |||
4761.2.a.bu.1.10 | 10 | 23.21 | odd | 22 |