Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(127,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 700.bj (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 323.43 | ||
Character | 700.323 | ||
Dual form | 700.2.bj.a.687.43 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.126438 | + | 1.40855i | −0.0894051 | + | 0.995995i | |||||
−1.45856 | − | 2.86259i | −0.842100 | − | 1.65271i | −0.754256 | − | 0.656580i | ||
−0.0878436 | − | 0.996134i | ||||||||
−1.96803 | − | 0.356188i | −0.984013 | − | 0.178094i | |||||
1.35907 | + | 1.77565i | 0.607794 | + | 0.794095i | |||||
4.21651 | − | 1.69252i | 1.72138 | − | 0.690967i | |||||
−0.707107 | − | 0.707107i | −0.267261 | − | 0.267261i | |||||
0.750542 | − | 2.72703i | 0.265357 | − | 0.964150i | |||||
−4.30364 | + | 5.92345i | −1.43455 | + | 1.97448i | |||||
−2.67293 | + | 1.68981i | −0.845255 | + | 0.534364i | |||||
2.04399 | + | 2.81331i | 0.616285 | + | 0.848244i | 0.997076 | − | 0.0764173i | ||
−0.380791 | + | 0.924661i | ||||||||
1.85087 | + | 6.15317i | 0.534299 | + | 1.77627i | |||||
0.0115670 | + | 0.0730309i | 0.00320810 | + | 0.0202551i | 0.989240 | − | 0.146299i | ||
−0.986032 | + | 0.166554i | ||||||||
1.08540 | − | 0.906590i | 0.290085 | − | 0.242296i | |||||
3.10067 | − | 6.48034i | 0.800589 | − | 1.67322i | |||||
3.74626 | + | 1.40198i | 0.936565 | + | 0.350494i | |||||
−2.40861 | − | 1.22725i | −0.584173 | − | 0.297651i | 0.136817 | − | 0.990596i | ||
−0.720990 | + | 0.692945i | ||||||||
−7.79934 | − | 6.81084i | −1.83832 | − | 1.60533i | |||||
−0.280546 | − | 0.863431i | −0.0643616 | − | 0.198085i | 0.913705 | − | 0.406379i | ||
−0.978066 | + | 0.208295i | ||||||||
−2.04222 | − | 3.97861i | −0.456654 | − | 0.889645i | |||||
−0.992796 | + | 3.05551i | −0.216646 | + | 0.666767i | |||||
−4.22112 | + | 2.52335i | −0.899946 | + | 0.537980i | |||||
−0.183083 | + | 1.15594i | −0.0381754 | + | 0.241030i | −0.999396 | − | 0.0347507i | ||
0.961221 | + | 0.275781i | ||||||||
−8.90106 | + | 1.82904i | −1.81692 | + | 0.373352i | |||||
−1.30587 | + | 4.82646i | −0.261173 | + | 0.965292i | |||||
−0.104330 | + | 0.00705877i | −0.0204608 | + | 0.00138434i | |||||
13.7139 | + | 2.17207i | 2.63924 | + | 0.418015i | |||||
1.13974 | + | 1.64347i | 0.215391 | + | 0.310586i | |||||
7.67871 | + | 2.49497i | 1.42590 | + | 0.463303i | 0.917472 | − | 0.397800i | ||
0.508429 | + | 0.861104i | ||||||||
8.73584 | + | 5.18680i | 1.59494 | + | 0.946977i | |||||
5.36384 | − | 1.74282i | 0.963375 | − | 0.313019i | 0.215236 | − | 0.976562i | ||
0.748138 | + | 0.663543i | ||||||||
−2.44842 | + | 5.09953i | −0.432824 | + | 0.901478i | |||||
5.07205 | − | 9.95446i | 0.882931 | − | 1.73285i | |||||
2.03318 | − | 3.23747i | 0.348687 | − | 0.555222i | |||||
0.294568 | − | 2.21658i | 0.0497910 | − | 0.374671i | |||||
10.5795 | − | 10.1246i | 1.76326 | − | 1.68743i | |||||
3.47004 | − | 0.549601i | 0.570472 | − | 0.0903538i | 0.135467 | − | 0.990782i | ||
0.435005 | + | 0.900428i | ||||||||
1.25166 | − | 0.285992i | 0.203046 | − | 0.0463941i | |||||
0.192186 | − | 0.139631i | 0.0307744 | − | 0.0223589i | |||||
5.86229 | − | 2.37352i | 0.926909 | − | 0.375286i | |||||
8.36936 | + | 6.08070i | 1.30708 | + | 0.949646i | 0.999998 | − | 0.00203903i | ||
0.307077 | + | 0.951685i | ||||||||
−4.17831 | − | 1.78473i | −0.644728 | − | 0.275391i | |||||
−4.55361 | + | 4.55361i | −0.694419 | + | 0.694419i | −0.963201 | − | 0.268782i | ||
0.268782 | + | 0.963201i | ||||||||
−3.02055 | − | 6.26471i | −0.455366 | − | 0.944440i | |||||
−16.3669 | + | 0.408618i | −2.43984 | + | 0.0609132i | |||||
−1.60505 | − | 0.404036i | −0.236652 | − | 0.0595718i | |||||
11.8098 | − | 6.01737i | 1.72263 | − | 0.877724i | 0.745093 | − | 0.666961i | ||
0.977537 | − | 0.210763i | ||||||||
−1.45087 | − | 12.7689i | −0.209415 | − | 1.84303i | |||||
1.00000i | 0.142857i | |||||||||
−6.63320 | − | 2.44963i | −0.938076 | − | 0.346429i | |||||
8.68486i | 1.21612i | |||||||||
0.00324867 | − | 0.147847i | 0.000450509 | − | 0.0205027i | |||||
9.84755 | − | 5.01758i | 1.35267 | − | 0.689217i | 0.380779 | − | 0.924666i | ||
0.971887 | + | 0.235449i | ||||||||
−4.79343 | + | 19.0421i | −0.652303 | + | 2.59130i | |||||
−2.21753 | + | 7.45288i | −0.299012 | + | 1.00495i | |||||
−2.45901 | + | 1.39759i | −0.328600 | + | 0.186760i | |||||
−2.06245 | + | 2.06245i | −0.273178 | + | 0.273178i | |||||
−4.48516 | + | 10.5004i | −0.588931 | + | 1.37877i | |||||
1.40535 | + | 1.02104i | 0.182960 | + | 0.132929i | 0.675496 | − | 0.737364i | ||
−0.492535 | + | 0.870293i | ||||||||
−8.41042 | + | 11.6491i | −1.08578 | + | 1.50389i | |||||
−3.22028 | + | 2.33967i | −0.412315 | + | 0.299564i | −0.774538 | − | 0.632527i | ||
0.362223 | + | 0.932091i | ||||||||
1.77665 | + | 7.77560i | 0.225635 | + | 0.987502i | |||||
7.23165 | − | 1.14538i | 0.911102 | − | 0.144304i | |||||
−6.87337 | − | 4.09350i | −0.859172 | − | 0.511688i | |||||
−0.113957 | + | 0.119793i | −0.0141346 | + | 0.0148585i | |||||
13.3801 | + | 8.40286i | 1.64697 | + | 1.03432i | |||||
−3.00737 | + | 5.90229i | −0.367408 | + | 0.721079i | −0.998507 | − | 0.0546231i | ||
0.631099 | + | 0.775703i | ||||||||
4.30307 | + | 3.27317i | 0.521824 | + | 0.396930i | |||||
3.57601 | − | 1.16192i | 0.430501 | − | 0.139878i | |||||
3.08492 | + | 0.695173i | 0.368719 | + | 0.0830891i | |||||
−12.5751 | − | 4.08589i | −1.49239 | − | 0.484906i | −0.554599 | − | 0.832118i | ||
−0.937787 | + | 0.347212i | ||||||||
12.9234 | + | 16.1820i | 1.52303 | + | 1.90706i | |||||
10.3532 | + | 1.63978i | 1.21175 | + | 0.191922i | 0.729418 | − | 0.684069i | ||
0.482329 | + | 0.875990i | ||||||||
0.335395 | + | 4.95722i | 0.0389889 | + | 0.576265i | |||||
15.7208 | − | 3.30153i | 1.81529 | − | 0.381228i | |||||
0.244577 | + | 1.79918i | 0.0280550 | + | 0.206380i | |||||
0.543991 | − | 3.43463i | 0.0619936 | − | 0.391412i | |||||
0.172378 | + | 0.288359i | 0.0195180 | + | 0.0326502i | |||||
−3.55666 | + | 10.9463i | −0.400155 | + | 1.23155i | 0.524718 | + | 0.851276i | ||
−0.924873 | + | 0.380275i | ||||||||
2.60200 | + | 8.55743i | 0.290913 | + | 0.956750i | |||||
−6.99715 | − | 21.5350i | −0.777461 | − | 2.39278i | |||||
−9.62317 | + | 11.0198i | −1.06270 | + | 1.21694i | |||||
−3.82180 | − | 1.94731i | −0.419497 | − | 0.213745i | 0.231483 | − | 0.972839i | ||
−0.650981 | + | 0.759094i | ||||||||
3.04219 | − | 5.65971i | 0.331930 | − | 0.617525i | |||||
−1.09430 | − | 5.94476i | −0.118694 | − | 0.644799i | |||||
−5.83824 | − | 6.98974i | −0.629553 | − | 0.753723i | |||||
−4.05781 | − | 25.6200i | −0.435043 | − | 2.74676i | |||||
9.20607 | − | 3.46251i | 0.981370 | − | 0.369104i | |||||
0.877888 | + | 1.20831i | 0.0930559 | + | 0.128080i | 0.853006 | − | 0.521901i | ||
−0.759950 | + | 0.649981i | ||||||||
1.49384 | − | 23.1053i | 0.157465 | − | 2.43551i | |||||
0.0434616 | − | 0.0598197i | 0.00455601 | − | 0.00627081i | |||||
0.772043 | − | 2.20971i | 0.0804911 | − | 0.230378i | |||||
−12.8125 | − | 12.8125i | −1.32859 | − | 1.32859i | |||||
6.98257 | + | 17.3955i | 0.720197 | + | 1.79420i | |||||
1.15187 | − | 1.67161i | 0.118179 | − | 0.171504i | |||||
18.1690 | − | 0.429154i | 1.85437 | − | 0.0438003i | |||||
−6.30893 | − | 12.3820i | −0.640575 | − | 1.25720i | −0.951758 | − | 0.306850i | ||
0.311183 | − | 0.950350i | ||||||||
−1.40855 | − | 0.126438i | −0.142285 | − | 0.0127722i | |||||
−25.4611 | −2.55893 | |||||||||
4.28911 | − | 9.03347i | 0.428911 | − | 0.903347i | |||||
−7.70466 | −0.766642 | −0.383321 | − | 0.923615i | ||||||
−0.383321 | + | 0.923615i | ||||||||
−12.2331 | − | 1.09810i | −1.21125 | − | 0.108728i | |||||
5.33809 | + | 10.4766i | 0.525978 | + | 1.03229i | 0.989272 | + | 0.146085i | ||
−0.463294 | + | 0.886204i | ||||||||
0.207839 | + | 0.0232694i | 0.0203803 | + | 0.00228175i | |||||
−6.77480 | + | 2.38979i | −0.661152 | + | 0.233220i | |||||
5.82241 | + | 14.5052i | 0.565522 | + | 1.40887i | |||||
−9.53214 | − | 9.53214i | −0.921507 | − | 0.921507i | 0.0756292 | − | 0.997136i | ||
−0.997136 | + | 0.0756292i | ||||||||
−26.2157 | − | 9.15942i | −2.52260 | − | 0.881366i | |||||
−2.58581 | + | 3.55906i | −0.247676 | + | 0.340896i | −0.914696 | − | 0.404144i | ||
0.667020 | + | 0.745040i | ||||||||
−10.2174 | − | 4.06583i | −0.974189 | − | 0.387662i | |||||
−6.63454 | − | 9.13167i | −0.629723 | − | 0.866739i | |||||
−1.65766 | − | 3.64035i | −0.156634 | − | 0.343981i | |||||
2.75325 | + | 17.3833i | 0.259004 | + | 1.63529i | 0.683567 | + | 0.729888i | ||
−0.424563 | + | 0.905398i | ||||||||
−2.64429 | − | 3.16584i | −0.247661 | − | 0.296508i | |||||
−2.30136 | + | 1.24591i | −0.214603 | + | 0.116182i | |||||
−14.2232 | − | 7.64523i | −1.32059 | − | 0.709841i | |||||
−0.482375 | − | 0.245782i | −0.0445956 | − | 0.0227226i | |||||
−1.61588 | + | 1.85040i | −0.148754 | + | 0.170343i | |||||
0.835348 | + | 2.57094i | 0.0765762 | + | 0.235677i | |||||
−15.3449 | − | 13.3194i | −1.40079 | − | 1.21589i | |||||
−0.337626 | + | 1.03911i | −0.0306933 | + | 0.0944642i | |||||
−2.88838 | − | 4.83175i | −0.261502 | − | 0.437447i | |||||
5.19930 | − | 32.8271i | 0.468805 | − | 2.95992i | |||||
−11.1770 | + | 1.51938i | −1.00372 | + | 0.136444i | |||||
−10.3449 | + | 4.24073i | −0.925273 | + | 0.379302i | |||||
0.698971 | + | 10.3310i | 0.0622693 | + | 0.920355i | |||||
16.1188 | + | 2.55297i | 1.43031 | + | 0.226539i | 0.823053 | − | 0.567965i | ||
0.607259 | + | 0.794504i | ||||||||
6.63496 | − | 9.16392i | 0.586453 | − | 0.809983i | |||||
19.6768 | + | 6.39338i | 1.73245 | + | 0.562906i | |||||
−0.154326 | − | 0.175661i | −0.0135353 | − | 0.0154065i | |||||
7.97167 | − | 2.59015i | 0.696488 | − | 0.226303i | 0.0606885 | − | 0.998157i | ||
0.635800 | + | 0.771854i | ||||||||
−13.5276 | + | 17.7840i | −1.17743 | + | 1.54790i | |||||
−0.412162 | + | 0.808913i | −0.0357390 | + | 0.0701417i | |||||
−7.93342 | − | 4.98230i | −0.685344 | − | 0.430405i | |||||
14.7813 | + | 27.3031i | 1.27217 | + | 2.34988i | |||||
−5.15450 | + | 5.64724i | −0.441995 | + | 0.484247i | |||||
−0.924680 | + | 0.146455i | −0.0790007 | + | 0.0125125i | −0.195810 | − | 0.980642i | ||
0.116809 | + | 0.993154i | ||||||||
1.18447 | + | 5.18390i | 0.100829 | + | 0.441283i | |||||
0.360612 | − | 0.262000i | 0.0305867 | − | 0.0222225i | −0.572387 | − | 0.819984i | ||
0.602974 | + | 0.797761i | ||||||||
−1.36924 | + | 4.25737i | −0.115722 | + | 0.359813i | |||||
−34.4505 | − | 25.0297i | −2.90125 | − | 2.10788i | |||||
7.34514 | − | 17.1960i | 0.616391 | − | 1.44306i | |||||
−0.181816 | + | 0.181816i | −0.0152042 | + | 0.0152042i | |||||
−24.4271 | + | 16.1572i | −2.03559 | + | 1.34643i | |||||
6.00571 | + | 17.0255i | 0.498747 | + | 1.41389i | |||||
−3.61875 | + | 14.3756i | −0.299490 | + | 1.18973i | |||||
2.86259 | − | 1.45856i | 0.236102 | − | 0.120300i | |||||
−7.02490 | − | 0.154359i | −0.577443 | − | 0.0126883i | |||||
10.4736i | 0.858031i | 0.903297 | + | 0.429015i | ||||||
−0.903297 | + | 0.429015i | ||||||||
2.66266 | + | 22.5610i | 0.217405 | + | 1.84210i | |||||
− | 12.9663i | − | 1.05518i | −0.849498 | − | 0.527591i | ||||
0.849498 | − | 0.527591i | ||||||||
−2.56516 | + | 0.117015i | −0.208062 | + | 0.00949116i | |||||
17.6353 | − | 8.98564i | 1.42573 | − | 0.726446i | |||||
4.76906 | + | 1.20051i | 0.384302 | + | 0.0967395i | |||||
10.3845 | + | 7.15570i | 0.834100 | + | 0.574760i | |||||
−0.427963 | + | 0.206344i | −0.0342644 | + | 0.0165207i | |||||
−5.75202 | + | 5.75202i | −0.459061 | + | 0.459061i | −0.898347 | − | 0.439286i | ||
0.439286 | + | 0.898347i | ||||||||
−14.9687 | − | 6.39375i | −1.19084 | − | 0.508660i | |||||
−28.7265 | − | 20.8710i | −2.27816 | − | 1.65518i | |||||
−12.3826 | + | 2.58307i | −0.978927 | + | 0.204210i | |||||
0.946831 | − | 0.687913i | 0.0746207 | − | 0.0542151i | |||||
31.2178 | − | 7.13299i | 2.45270 | − | 0.560421i | |||||
−4.11379 | + | 0.651560i | −0.322217 | + | 0.0510341i | −0.315448 | − | 0.948943i | ||
−0.00676903 | + | 0.999977i | ||||||||
−14.3053 | − | 14.9480i | −1.11705 | − | 1.16725i | |||||
24.5689 | − | 4.52261i | 1.91269 | − | 0.352084i | |||||
3.22610 | − | 5.13699i | 0.250394 | − | 0.398708i | |||||
−9.32486 | + | 18.3011i | −0.721579 | + | 1.41618i | 0.180045 | + | 0.983658i | ||
−0.901624 | + | 0.432521i | ||||||||
7.58733 | + | 5.00067i | 0.585375 | + | 0.385810i | |||||
12.3585 | − | 4.01553i | 0.950657 | − | 0.308887i | |||||
8.51185 | − | 0.789736i | 0.652829 | − | 0.0605700i | |||||
6.32186 | + | 2.05410i | 0.483445 | + | 0.157081i | |||||
10.5836 | − | 7.33968i | 0.806989 | − | 0.559646i | |||||
−4.92119 | − | 0.779440i | −0.374151 | − | 0.0592597i | −0.0334727 | − | 0.999440i | ||
−0.340678 | + | 0.940180i | ||||||||
36.6002 | − | 2.47629i | 2.77465 | − | 0.187727i | |||||
4.33621 | − | 2.48944i | 0.327787 | − | 0.188184i | |||||
3.71312 | + | 13.4050i | 0.279887 | + | 1.01044i | |||||
0.873043 | − | 5.51217i | 0.0656219 | − | 0.414320i | |||||
−1.81296 | + | 1.08377i | −0.135887 | + | 0.0812322i | |||||
5.29692 | − | 16.3023i | 0.395911 | − | 1.21849i | −0.532339 | − | 0.846531i | ||
0.928250 | − | 0.371957i | ||||||||
32.3561 | + | 5.02553i | 2.41168 | + | 0.374581i | |||||
0.931407 | + | 2.86658i | 0.0692309 | + | 0.213071i | 0.979686 | − | 0.200537i | ||
−0.910455 | + | 0.413608i | ||||||||
0.0787639 | + | 0.0687813i | 0.00583837 | + | 0.00509841i | |||||
11.3945 | + | 5.80578i | 0.842305 | + | 0.429176i | |||||
3.01487 | + | 1.36685i | 0.222259 | + | 0.100766i | |||||
5.69192 | + | 5.41464i | 0.418479 | + | 0.398092i | |||||
19.6670 | − | 16.4270i | 1.44205 | − | 1.20449i | |||||
−1.47054 | − | 9.28463i | −0.107537 | − | 0.678959i | |||||
−25.3852 | + | 7.63585i | −1.85141 | + | 0.556902i | |||||
−8.16131 | − | 11.2331i | −0.593648 | − | 0.817086i | |||||
2.20891 | + | 1.83382i | 0.160251 | + | 0.133039i | |||||
−10.8384 | + | 14.9178i | −0.784238 | + | 1.07941i | 0.210563 | + | 0.977580i | ||
−0.994802 | + | 0.101831i | ||||||||
−1.69277 | + | 25.6462i | −0.122165 | + | 1.85086i | |||||
−3.65543 | − | 3.65543i | −0.263123 | − | 0.263123i | 0.563198 | − | 0.826322i | ||
−0.826322 | + | 0.563198i | ||||||||
18.2383 | − | 7.32090i | 1.30944 | − | 0.525610i | |||||
0.509131 | + | 0.151487i | 0.0364596 | + | 0.0108482i | |||||
0.356188 | − | 1.96803i | 0.0254420 | − | 0.140573i | |||||
−0.372579 | − | 0.731228i | −0.0265452 | − | 0.0520978i | 0.877353 | − | 0.479845i | ||
−0.903898 | + | 0.427748i | ||||||||
3.21925 | − | 35.8632i | 0.228782 | − | 2.54869i | |||||
−1.64864 | −0.116869 | −0.0584344 | − | 0.998291i | ||||||
−0.0584344 | + | 0.998291i | ||||||||
12.1818 | + | 7.18360i | 0.861382 | + | 0.507957i | |||||
21.2822 | 1.50113 | |||||||||
0.974161 | − | 10.8524i | 0.0685417 | − | 0.763572i | |||||
−3.66546 | − | 7.19388i | −0.257265 | − | 0.504911i | |||||
3.09344 | − | 17.0920i | 0.216584 | − | 1.19668i | |||||
0.577345 | + | 23.1251i | 0.0403235 | + | 1.61513i | |||||
−15.4317 | + | 6.19433i | −1.07518 | + | 0.431579i | |||||
−6.05923 | − | 6.05923i | −0.421145 | − | 0.421145i | |||||
−0.0590548 | + | 0.289809i | −0.00409471 | + | 0.0200947i | |||||
1.85566 | − | 2.55410i | 0.128359 | − | 0.176671i | |||||
−2.50955 | − | 9.84480i | −0.173175 | − | 0.679356i | |||||
4.58436 | + | 6.30983i | 0.315600 | + | 0.434387i | 0.937118 | − | 0.349014i | ||
−0.621517 | + | 0.783400i | ||||||||
−21.1675 | + | 6.36715i | −1.45379 | + | 0.437297i | |||||
6.64529 | + | 41.9567i | 0.455328 | + | 2.87483i | |||||
14.6317 | − | 12.2213i | 1.00020 | − | 0.835429i | |||||
−14.2743 | − | 1.89695i | −0.973498 | − | 0.129371i | |||||
16.2162 | − | 35.7680i | 1.10337 | − | 2.43370i | |||||
−5.02517 | − | 2.56045i | −0.341131 | − | 0.173815i | |||||
−4.68617 | − | 4.09224i | −0.317388 | − | 0.277162i | |||||
−10.4067 | − | 32.0285i | −0.703220 | − | 2.16429i | |||||
7.01879 | − | 13.8776i | 0.473207 | − | 0.935629i | |||||
0.0617667 | − | 0.190098i | 0.00415488 | − | 0.0127874i | |||||
13.7013 | − | 8.19050i | 0.919569 | − | 0.549710i | |||||
−1.61889 | + | 10.2213i | −0.108409 | + | 0.684466i | 0.872297 | + | 0.488976i | ||
−0.980706 | + | 0.195490i | ||||||||
5.33721 | − | 1.87462i | 0.356607 | − | 0.125253i | |||||
−22.9693 | − | 28.5066i | −1.53129 | − | 1.90044i | |||||
−24.8334 | + | 1.68018i | −1.65189 | + | 0.111764i | |||||
−2.27030 | − | 0.359580i | −0.150685 | − | 0.0238661i | 0.0806362 | − | 0.996744i | ||
−0.231321 | + | 0.972877i | ||||||||
4.79358 | − | 3.32434i | 0.317463 | − | 0.220160i | |||||
−18.5308 | − | 6.02103i | −1.22455 | − | 0.397881i | −0.375813 | − | 0.926695i | ||
−0.848737 | + | 0.528815i | ||||||||
−1.46395 | − | 3.39912i | −0.0965297 | − | 0.224131i | |||||
−10.6254 | + | 3.45239i | −0.699097 | + | 0.227150i | |||||
12.5670 | − | 19.0675i | 0.825067 | − | 1.25184i | |||||
4.85860 | − | 9.53553i | 0.318297 | − | 0.624693i | −0.675317 | − | 0.737528i | ||
0.993614 | + | 0.112835i | ||||||||
0.407187 | − | 0.648374i | 0.0266187 | − | 0.0423855i | |||||
26.7350 | + | 12.7920i | 1.74400 | + | 0.834456i | |||||
−2.40207 | − | 2.51001i | −0.156362 | − | 0.163388i | |||||
36.5222 | − | 5.78455i | 2.37237 | − | 0.375747i | |||||
−3.72691 | + | 0.851566i | −0.241580 | + | 0.0551988i | |||||
−6.60885 | + | 4.80161i | −0.427491 | + | 0.310590i | −0.780645 | − | 0.624975i | ||
0.353154 | + | 0.935565i | ||||||||
20.7012 | − | 19.9300i | 1.33626 | − | 1.28647i | |||||
24.5254 | + | 17.8188i | 1.57982 | + | 1.14781i | 0.916897 | + | 0.399123i | ||
0.662926 | + | 0.748685i | ||||||||
−1.42094 | − | 0.606945i | −0.0913417 | − | 0.0390159i | |||||
−21.9858 | + | 21.9858i | −1.41039 | + | 1.41039i | |||||
7.17097 | − | 3.45751i | 0.459074 | − | 0.221345i | |||||
−1.77565 | + | 1.35907i | −0.113442 | + | 0.0868277i | |||||
45.5812 | + | 11.4741i | 2.90615 | + | 0.731559i | |||||
0.0598121 | − | 0.0304758i | 0.00380575 | − | 0.00193913i | |||||
−0.726925 | − | 15.9354i | −0.0461598 | − | 1.01190i | |||||
13.7805i | 0.873304i | |||||||||
−4.66529 | − | 15.1074i | −0.295059 | − | 0.955479i | |||||
− | 8.24256i | − | 0.520266i | −0.965573 | − | 0.260133i | ||||
0.965573 | − | 0.260133i | ||||||||
−14.6400 | − | 0.321688i | −0.922236 | − | 0.0202645i | |||||
−3.62623 | + | 1.84766i | −0.227979 | + | 0.116161i | |||||
−5.63401 | + | 22.3813i | −0.353509 | + | 1.40433i | |||||
−15.4213 | + | 11.8033i | −0.965717 | + | 0.739152i | |||||
12.0689 | + | 10.5043i | 0.754308 | + | 0.656521i | |||||
19.7861 | − | 19.7861i | 1.23422 | − | 1.23422i | 0.271899 | − | 0.962326i | ||
0.962326 | − | 0.271899i | ||||||||
−11.4933 | + | 26.9074i | −0.715541 | + | 1.67518i | |||||
−2.84232 | − | 2.06506i | −0.176613 | − | 0.128317i | |||||
0.266939 | − | 0.195165i | 0.0165549 | − | 0.0121036i | |||||
−47.8252 | + | 34.7471i | −2.96031 | + | 2.15079i | |||||
2.64044 | + | 11.5560i | 0.163127 | + | 0.713932i | |||||
−16.9344 | + | 2.68214i | −1.04422 | + | 0.165388i | −0.654900 | − | 0.755715i | ||
−0.389318 | + | 0.921103i | ||||||||
−23.3393 | − | 21.3029i | −1.43644 | − | 1.31110i | |||||
22.2930 | + | 10.6666i | 1.36945 | + | 0.655242i | |||||
−1.08728 | − | 0.682828i | −0.0666655 | − | 0.0418669i | |||||
2.17843 | − | 4.27542i | 0.133318 | − | 0.261651i | |||||
8.02090 | − | 10.5447i | 0.489955 | − | 0.644119i | |||||
−0.336795 | + | 0.109431i | −0.0205347 | + | 0.00667214i | −0.319266 | − | 0.947665i | ||
0.298732 | + | 0.954337i | ||||||||
−40.3267 | + | 17.3681i | −2.45420 | + | 1.05699i | |||||
22.7533 | + | 7.39300i | 1.38217 | + | 0.449093i | 0.903381 | − | 0.428839i | ||
0.478785 | + | 0.877932i | ||||||||
−7.30270 | − | 7.97440i | −0.442791 | − | 0.483519i | |||||
−0.234630 | − | 0.0371618i | −0.0142005 | − | 0.00224914i | |||||
−0.0893745 | − | 1.32098i | −0.00539931 | − | 0.0798030i | |||||
−16.2475 | + | 6.19142i | −0.979760 | + | 0.373357i | |||||
−7.45154 | + | 1.01295i | −0.448530 | + | 0.0609724i | |||||
2.13994 | − | 13.5111i | 0.128577 | − | 0.811801i | −0.836141 | − | 0.548515i | ||
0.964718 | − | 0.263287i | ||||||||
0.323445 | + | 0.541066i | 0.0193989 | + | 0.0324510i | |||||
−12.7605 | + | 39.2729i | −0.763954 | + | 2.35121i | |||||
−5.82359 | − | 2.46693i | −0.348026 | − | 0.147427i | |||||
−1.93437 | − | 5.95338i | −0.115395 | − | 0.355149i | 0.876634 | − | 0.481157i | ||
−0.992029 | + | 0.126008i | ||||||||
39.6115 | − | 45.3605i | 2.35883 | − | 2.70118i | |||||
1.86390 | + | 0.949703i | 0.110797 | + | 0.0564540i | 0.508511 | − | 0.861056i | ||
−0.397714 | + | 0.917510i | ||||||||
23.2927 | + | 12.5202i | 1.38217 | + | 0.742939i | |||||
−6.46520 | − | 0.859179i | −0.382966 | − | 0.0508934i | |||||
−0.233108 | − | 0.279085i | −0.0137840 | − | 0.0165026i | |||||
−1.61833 | − | 10.2177i | −0.0955270 | − | 0.603134i | |||||
−19.6697 | − | 36.4497i | −1.15905 | − | 2.14782i | |||||
−5.69709 | − | 7.84138i | −0.335123 | − | 0.461257i | |||||
−24.7407 | + | 6.30667i | −1.45282 | + | 0.370341i | |||||
−26.2425 | + | 36.1197i | −1.53836 | + | 2.11738i | |||||
−19.7912 | − | 6.91481i | −1.15819 | − | 0.404659i | |||||
−12.9723 | − | 12.9723i | −0.757849 | − | 0.757849i | 0.218081 | − | 0.975931i | ||
−0.975931 | + | 0.218081i | ||||||||
1.69252 | + | 4.21651i | 0.0987095 | + | 0.245912i | |||||
0.0969451 | + | 3.88307i | 0.00564436 | + | 0.226081i | |||||
1.10564 | − | 9.87541i | 0.0642638 | − | 0.573996i | |||||
21.9203 | + | 43.0211i | 1.27195 | + | 2.49634i | |||||
−14.7526 | − | 1.32426i | −0.854595 | − | 0.0767123i | |||||
−0.0865370 | −0.00500456 | |||||||||
−32.1150 | + | 0.897919i | −1.85416 | + | 0.0518414i | |||||
6.43978 | 0.371182 | |||||||||
18.2637 | + | 1.63943i | 1.05096 | + | 0.0943387i | |||||
11.2377 | + | 22.0552i | 0.645589 | + | 1.26704i | |||||
0.159512 | − | 3.62795i | 0.00914866 | − | 0.208077i | |||||
−8.53103 | − | 2.53832i | −0.488485 | − | 0.145344i | |||||
10.4270 | + | 25.9764i | 0.596069 | + | 1.48497i | |||||
1.19164 | + | 1.19164i | 0.0680107 | + | 0.0680107i | 0.740294 | − | 0.672283i | ||
−0.672283 | + | 0.740294i | ||||||||
−2.29396 | + | 6.56567i | −0.130711 | + | 0.374114i | |||||
22.2042 | − | 30.5615i | 1.26315 | − | 1.73858i | |||||
−11.3922 | + | 13.7223i | −0.647031 | + | 0.779374i | |||||
6.14312 | + | 8.45528i | 0.348344 | + | 0.479455i | 0.946855 | − | 0.321660i | ||
−0.598511 | + | 0.801115i | ||||||||
−0.236535 | − | 0.628896i | −0.0133912 | − | 0.0356042i | |||||
2.38138 | + | 15.0354i | 0.134603 | + | 0.849853i | 0.958910 | + | 0.283710i | ||
−0.824307 | + | 0.566143i | ||||||||
−7.37474 | − | 8.82928i | −0.416180 | − | 0.498265i | |||||
11.8621 | + | 11.2842i | 0.668353 | + | 0.635794i | |||||
10.8985 | − | 20.2757i | 0.613090 | − | 1.14060i | |||||
−21.3863 | − | 10.8968i | −1.20117 | − | 0.612028i | −0.265231 | − | 0.964185i | ||
−0.935941 | + | 0.352157i | ||||||||
33.0300 | − | 37.8238i | 1.85223 | − | 2.12105i | |||||
8.67609 | + | 26.7023i | 0.485768 | + | 1.49504i | |||||
−2.07276 | − | 17.7681i | −0.115871 | − | 0.993264i | |||||
−13.3834 | + | 41.1898i | −0.746987 | + | 2.29899i | |||||
0.849245 | + | 1.42064i | 0.0473266 | + | 0.0791690i | |||||
−0.383918 | + | 2.42396i | −0.0213618 | + | 0.134873i | |||||
6.10006 | + | 44.8738i | 0.338892 | + | 2.49299i | |||||
−0.367586 | − | 0.0395411i | −0.0203900 | − | 0.00219335i | |||||
−0.397616 | − | 5.87686i | −0.0220219 | − | 0.325489i | |||||
13.9597 | + | 2.21100i | 0.771972 | + | 0.122268i | |||||
22.8638 | − | 18.2597i | 1.26244 | − | 1.00822i | |||||
−12.6057 | − | 4.09583i | −0.694974 | − | 0.225811i | |||||
3.26388 | + | 35.1784i | 0.179671 | + | 1.93651i | |||||
−23.4978 | + | 7.63489i | −1.29156 | + | 0.419652i | −0.872636 | − | 0.488372i | ||
−0.418920 | + | 0.908023i | ||||||||
6.82780 | + | 5.19363i | 0.374724 | + | 0.285038i | |||||
−11.6783 | + | 22.9199i | −0.639966 | + | 1.25600i | |||||
−24.5990 | − | 15.4485i | −1.34599 | − | 0.845303i | |||||
−14.5676 | + | 2.68158i | −0.795914 | + | 0.146511i | |||||
−8.00302 | + | 10.0549i | −0.436601 | + | 0.548538i | |||||
−27.8023 | + | 4.40345i | −1.51449 | + | 0.239871i | −0.857679 | − | 0.514185i | ||
−0.656810 | + | 0.754056i | ||||||||
4.09349 | + | 17.9153i | 0.222657 | + | 0.974466i | |||||
45.7455 | − | 33.2360i | 2.48455 | − | 1.80513i | |||||
0.0361624 | + | 12.0892i | 0.00196118 | + | 0.655630i | |||||
15.8667 | + | 11.5278i | 0.859230 | + | 0.624267i | |||||
−3.69262 | + | 8.64494i | −0.199674 | + | 0.467465i | |||||
0.707107 | − | 0.707107i | 0.0381802 | − | 0.0381802i | |||||
9.00015 | + | 15.8355i | 0.485255 | + | 0.853793i | |||||
6.92320 | + | 4.77062i | 0.372732 | + | 0.256841i | |||||
1.72010 | − | 6.83319i | 0.0924734 | − | 0.367354i | |||||
17.4031 | − | 8.86734i | 0.934250 | − | 0.476024i | 0.0805273 | − | 0.996752i | ||
0.853722 | + | 0.520728i | ||||||||
−1.13967 | + | 51.8662i | −0.0610925 | + | 2.78032i | |||||
− | 16.2156i | − | 0.868000i | −0.900913 | − | 0.434000i | ||||
0.900913 | − | 0.434000i | ||||||||
2.95823 | + | 6.42253i | 0.158124 | + | 0.343299i | |||||
1.02666i | 0.0547992i | |||||||||
−19.3511 | + | 3.53521i | −1.03142 | + | 0.188427i | |||||
−4.70626 | + | 2.39796i | −0.250489 | + | 0.127631i | −0.574728 | − | 0.818345i | ||
0.324239 | + | 0.945975i | ||||||||
7.65379 | + | 1.92667i | 0.406794 | + | 0.102401i | |||||
−9.83527 | − | 27.8819i | −0.522002 | − | 1.47982i | |||||
−1.29732 | − | 2.69068i | −0.0687579 | − | 0.142606i | |||||
6.14112 | − | 6.14112i | 0.325023 | − | 0.325023i | |||||
22.2928 | + | 9.52221i | 1.17821 | + | 0.503264i | |||||
12.1034 | + | 8.79360i | 0.638791 | + | 0.464109i | 0.859434 | − | 0.511246i | ||
−0.220644 | + | 0.975354i | ||||||||
−11.1698 | + | 44.9398i | −0.588698 | + | 2.36853i | |||||
14.7045 | − | 10.6835i | 0.773922 | − | 0.562287i | |||||
−4.15548 | + | 0.949490i | −0.218407 | + | 0.0499041i | |||||
3.46698 | − | 0.549115i | 0.181969 | − | 0.0288211i | |||||
−0.106841 | + | 0.102246i | −0.00559997 | + | 0.00535917i | |||||
11.1590 | + | 20.6122i | 0.584088 | + | 1.07889i | |||||
−9.61843 | + | 15.3156i | −0.502764 | + | 0.800561i | |||||
9.55671 | − | 18.7561i | 0.498856 | − | 0.979060i | −0.495054 | − | 0.868862i | ||
0.993910 | − | 0.110198i | ||||||||
−2.30647 | + | 4.07377i | −0.120233 | + | 0.212360i | |||||
−72.0375 | + | 23.4064i | −3.75012 | + | 1.21849i | |||||
−8.34646 | + | 7.33275i | −0.433912 | + | 0.381211i | |||||
−10.5112 | − | 3.41531i | −0.545716 | − | 0.177314i | |||||
20.6516 | + | 29.7789i | 1.07074 | + | 1.54396i | |||||
−5.67504 | − | 0.898838i | −0.293842 | − | 0.0465401i | 0.00777285 | − | 0.999970i | ||
−0.301615 | + | 0.953430i | ||||||||
13.2638 | − | 0.897401i | 0.685855 | − | 0.0464035i | |||||
27.2280 | + | 23.4277i | 1.40605 | + | 1.20980i | |||||
−7.54582 | − | 36.7218i | −0.389146 | − | 1.89378i | |||||
−0.0933902 | + | 0.589643i | −0.00480984 | + | 0.0303681i | |||||
16.8543 | − | 10.0753i | 0.866889 | − | 0.518219i | |||||
−7.79517 | + | 23.9911i | −0.400411 | + | 1.23234i | 0.524256 | + | 0.851561i | ||
−0.924667 | + | 0.380777i | ||||||||
−2.86232 | + | 2.87949i | −0.146834 | + | 0.147715i | |||||
−16.2021 | − | 49.8651i | −0.830061 | − | 2.55467i | |||||
−19.6420 | − | 17.1526i | −1.00497 | − | 0.877603i | |||||
3.66081 | + | 1.86527i | 0.187058 | + | 0.0953110i | 0.545012 | − | 0.838429i | ||
−0.357953 | + | 0.933740i | ||||||||
−35.9100 | − | 5.62700i | −1.83252 | − | 0.287152i | |||||
6.83801 | − | 3.70195i | 0.348497 | − | 0.188669i | |||||
5.61103 | − | 4.68667i | 0.285594 | − | 0.238545i | |||||
−7.37599 | − | 46.5702i | −0.374943 | − | 2.36730i | |||||
8.00584 | + | 26.6152i | 0.406435 | + | 1.35118i | |||||
−4.93507 | − | 6.79254i | −0.250218 | − | 0.344395i | 0.665370 | − | 0.746514i | ||
−0.915588 | + | 0.402119i | ||||||||
−0.277750 | + | 0.697982i | −0.0140644 | + | 0.0353437i | |||||
1.85960 | − | 2.55951i | 0.0940438 | − | 0.129440i | |||||
2.72703 | + | 0.750542i | 0.137736 | + | 0.0379081i | |||||
−19.0417 | − | 19.0417i | −0.960527 | − | 0.960527i | |||||
1.07708 | − | 0.432342i | 0.0542625 | − | 0.0217811i | |||||
−24.2705 | + | 8.56134i | −1.22118 | + | 0.430768i | |||||
50.1081 | + | 9.06894i | 2.51803 | + | 0.455731i | |||||
−6.28936 | − | 12.3436i | −0.315654 | − | 0.619506i | 0.677604 | − | 0.735427i | ||
−0.993258 | + | 0.115921i | ||||||||
0.208450 | − | 2.32219i | 0.0104487 | − | 0.116401i | |||||
2.91675 | 0.146020 | |||||||||
−11.6587 | + | 16.2504i | −0.582935 | + | 0.812519i | |||||
22.2413 | 1.11068 | 0.555340 | − | 0.831624i | ||||||
0.555340 | + | 0.831624i | ||||||||
−2.69088 | + | 29.9771i | −0.134209 | + | 1.49512i | |||||
0.189323 | + | 0.371567i | 0.00943085 | + | 0.0185091i | |||||
15.1630 | + | 2.74431i | 0.754386 | + | 0.136534i | |||||
28.7290 | − | 41.6920i | 1.42756 | − | 2.07169i | |||||
10.5964 | − | 4.25341i | 0.525890 | − | 0.211093i | |||||
8.63892 | + | 8.63892i | 0.428215 | + | 0.428215i | |||||
23.6839 | + | 6.51835i | 1.17253 | + | 0.322706i | |||||
2.36032 | − | 3.24871i | 0.116711 | − | 0.160638i | −0.746665 | − | 0.665200i | ||
0.863375 | + | 0.504562i | ||||||||
−32.6459 | − | 2.11068i | −1.61227 | − | 0.104239i | |||||
1.76794 | + | 2.43336i | 0.0872061 | + | 0.120029i | |||||
−6.77387 | − | 22.5196i | −0.333724 | − | 1.10946i | |||||
−0.271743 | − | 1.71572i | −0.0133716 | − | 0.0844249i | |||||
9.30084 | − | 7.76861i | 0.457111 | − | 0.381806i | |||||
−1.73636 | − | 9.43271i | −0.0852345 | − | 0.463033i | |||||
−0.400744 | − | 0.119825i | −0.0196481 | − | 0.00587488i | |||||
−1.27597 | − | 0.650139i | −0.0624845 | − | 0.0318374i | |||||
3.36295 | + | 2.93673i | 0.164487 | + | 0.143640i | |||||
−10.7343 | − | 33.0366i | −0.524403 | − | 1.61394i | −0.765494 | − | 0.643443i | ||
0.241092 | − | 0.970502i | ||||||||
14.1842 | − | 2.29007i | 0.692118 | − | 0.111744i | |||||
4.16899 | − | 12.8308i | 0.203184 | − | 0.625336i | −0.796599 | − | 0.604508i | ||
0.999783 | − | 0.0208281i | ||||||||
−9.46735 | + | 5.65950i | −0.460863 | + | 0.275500i | |||||
−15.1813 | + | 95.8511i | −0.738141 | + | 4.66044i | |||||
−6.29208 | − | 30.6205i | −0.305570 | − | 1.48706i | |||||
9.06858 | − | 10.0224i | 0.439891 | − | 0.486159i | |||||
−59.9383 | + | 4.05531i | −2.90402 | + | 0.196480i | |||||
3.93148 | + | 0.622686i | 0.190258 | + | 0.0301339i | |||||
15.3643 | + | 22.1547i | 0.742660 | + | 1.07089i | |||||
0.785652 | + | 0.255274i | 0.0379316 | + | 0.0123247i | |||||
4.47676 | − | 19.8662i | 0.215888 | − | 0.958033i | |||||
−23.8875 | + | 7.76153i | −1.15062 | + | 0.373860i | −0.821378 | − | 0.570385i | ||
−0.329245 | + | 0.944245i | ||||||||
48.3307 | + | 27.3637i | 2.32531 | + | 1.31654i | |||||
12.9235 | − | 25.3638i | 0.621064 | − | 1.21891i | −0.339436 | − | 0.940629i | ||
0.960501 | − | 0.278278i | ||||||||
4.24190 | − | 6.75446i | 0.203618 | − | 0.324225i | |||||
39.9774 | − | 42.0246i | 1.91677 | − | 2.01493i | |||||
6.35664 | − | 6.08330i | 0.304428 | − | 0.291337i | |||||
1.04944 | − | 0.166214i | 0.0502013 | − | 0.00795111i | |||||
46.4296 | − | 10.6087i | 2.21849 | − | 0.506905i | |||||
−6.80972 | + | 4.94755i | −0.325010 | + | 0.236134i | −0.738310 | − | 0.674461i | ||
0.413300 | + | 0.910595i | ||||||||
18.6599 | + | 11.6410i | 0.889575 | + | 0.554962i | |||||
−5.92345 | − | 4.30364i | −0.282069 | − | 0.204935i | |||||
0.259953 | + | 0.111037i | 0.0123647 | + | 0.00528150i | |||||
−12.1953 | + | 12.1953i | −0.579416 | + | 0.579416i | −0.934742 | − | 0.355327i | ||
0.355327 | + | 0.934742i | ||||||||
9.80437 | + | 20.3345i | 0.465295 | + | 0.965033i | |||||
−0.952424 | + | 3.20100i | −0.0451492 | + | 0.151742i | |||||
−14.1925 | − | 3.57264i | −0.672033 | − | 0.169169i | |||||
29.9816 | − | 15.2764i | 1.41808 | − | 0.722548i | |||||
1.96567 | + | 7.75475i | 0.0928690 | + | 0.366378i | |||||
4.10992i | 0.193959i | 0.995286 | + | 0.0969795i | ||||||
−0.995286 | + | 0.0969795i | ||||||||
43.0571 | − | 28.7491i | 2.02973 | − | 1.35525i | |||||
35.9745i | 1.69397i | |||||||||
0.773270 | − | 35.1915i | 0.0363716 | − | 1.65527i | |||||
−37.1171 | + | 18.9121i | −1.74392 | + | 0.888569i | |||||
0.793537 | − | 3.15236i | 0.0372426 | − | 0.147948i | |||||
0.165286 | − | 0.00412655i | 0.00774874 | − | 0.000193456i | |||||
4.07641 | + | 7.17232i | 0.190895 | + | 0.335875i | |||||
5.36234 | − | 5.36234i | 0.250840 | − | 0.250840i | −0.570475 | − | 0.821315i | ||
0.821315 | + | 0.570475i | ||||||||
10.8239 | − | 25.3403i | 0.505768 | − | 1.18407i | |||||
−30.3657 | − | 22.0620i | −1.41735 | − | 1.02977i | |||||
4.97292 | − | 1.63226i | 0.231864 | − | 0.0761047i | |||||
12.7411 | − | 9.25695i | 0.593412 | − | 0.431139i | −0.250122 | − | 0.968214i | ||
0.843535 | + | 0.537075i | ||||||||
−3.51941 | − | 15.4029i | −0.163738 | − | 0.716606i | |||||
14.5845 | − | 2.30995i | 0.677798 | − | 0.107353i | 0.191961 | − | 0.981402i | ||
0.485836 | + | 0.874050i | ||||||||
25.2686 | + | 20.1122i | 1.17306 | + | 0.933684i | |||||
5.33743 | − | 40.1634i | 0.247517 | − | 1.86253i | |||||
12.8170 | + | 8.04923i | 0.593734 | + | 0.372873i | |||||
−11.3942 | + | 22.3624i | −0.527262 | + | 1.03481i | 0.461755 | + | 0.887008i | ||
−0.989017 | + | 0.147803i | ||||||||
0.861783 | + | 0.655523i | 0.0398359 | + | 0.0303016i | |||||
6.30008 | − | 2.04702i | 0.290911 | − | 0.0945226i | |||||
−21.3985 | + | 36.0402i | −0.987037 | + | 1.66241i | |||||
24.8553 | + | 8.07598i | 1.14527 | + | 0.372122i | |||||
3.83919 | − | 3.06608i | 0.176713 | − | 0.141128i | |||||
−22.1182 | − | 3.50318i | −1.01700 | − | 0.161076i | |||||
3.53004 | + | 52.1748i | 0.162140 | + | 2.39647i | |||||
4.53367 | − | 0.226517i | 0.208019 | − | 0.0103933i | |||||
−0.728250 | − | 5.35721i | −0.0333793 | − | 0.245548i | |||||
−12.6589 | + | 79.9254i | −0.579613 | + | 3.65953i | |||||
−5.92770 | − | 9.91599i | −0.271126 | − | 0.453547i | |||||
11.5392 | − | 35.5139i | 0.527238 | − | 1.62267i | −0.232609 | − | 0.972570i | ||
0.759847 | − | 0.650102i | ||||||||
25.4550 | + | 31.6786i | 1.16185 | + | 1.44592i | |||||
0.0802757 | + | 0.247063i | 0.00366026 | + | 0.0112651i | |||||
−28.1996 | + | 32.2924i | −1.28446 | + | 1.47088i | |||||
−3.35022 | − | 1.70702i | −0.152440 | − | 0.0776722i | |||||
1.03457 | − | 1.92473i | 0.0470261 | − | 0.0874877i | |||||
13.4118 | − | 28.0304i | 0.608998 | − | 1.27280i | |||||
−28.1883 | − | 33.7479i | −1.27865 | − | 1.53084i | |||||
1.19605 | + | 7.55156i | 0.0541981 | + | 0.342194i | 0.999855 | + | 0.0170274i | ||
−0.945657 | + | 0.325166i | ||||||||
3.96340 | + | 10.5378i | 0.179415 | + | 0.477025i | |||||
7.86535 | + | 10.8257i | 0.355683 | + | 0.489556i | |||||
−1.68981 | − | 2.67293i | −0.0763377 | − | 0.120751i | |||||
23.1233 | − | 31.8264i | 1.04354 | − | 1.43631i | 0.149259 | − | 0.988798i | ||
0.894279 | − | 0.447509i | ||||||||
−21.9250 | + | 62.7526i | −0.988454 | + | 2.82911i | |||||
−15.4331 | − | 15.4331i | −0.695070 | − | 0.695070i | |||||
0.0353641 | + | 0.0881016i | 0.00159111 | + | 0.00396388i | |||||
−34.6033 | − | 45.2100i | −1.55530 | − | 2.03204i | |||||
22.5377 | + | 0.990930i | 1.01197 | + | 0.0444941i | |||||
6.00276 | + | 11.7811i | 0.269260 | + | 0.528453i | |||||
−19.4105 | − | 1.74238i | −0.869806 | − | 0.0780778i | |||||
−4.55336 | −0.203837 | −0.101918 | − | 0.994793i | ||||||
−0.101918 | + | 0.994793i | ||||||||
21.8695 | − | 4.66115i | 0.978032 | − | 0.208453i | |||||
65.9892 | 2.94818 | |||||||||
11.6101 | + | 1.04217i | 0.518182 | + | 0.0465144i | |||||
−16.6882 | − | 32.7524i | −0.744088 | − | 1.46036i | −0.882665 | − | 0.470003i | ||
0.138576 | − | 0.990352i | ||||||||
2.30417 | − | 20.5806i | 0.102636 | − | 0.916731i | |||||
−10.4712 | − | 13.6808i | −0.465960 | − | 0.608787i | |||||
−2.14402 | − | 5.34134i | −0.0953135 | − | 0.237451i | |||||
−29.5205 | − | 29.5205i | −1.31105 | − | 1.31105i | |||||
−30.8129 | − | 10.7656i | −1.36710 | − | 0.477648i | |||||
21.9125 | − | 30.1599i | 0.971253 | − | 1.33682i | 0.0298416 | − | 0.999555i | ||
0.941411 | − | 0.337260i | ||||||||
−14.6757 | − | 23.2140i | −0.649852 | − | 1.02793i | |||||
−6.16129 | − | 8.48029i | −0.272560 | − | 0.375146i | |||||
−16.3219 | + | 15.6715i | −0.721331 | + | 0.692591i | |||||
−1.97194 | − | 12.4504i | −0.0870635 | − | 0.549697i | |||||
25.3680 | + | 30.3715i | 1.11894 | + | 1.33963i | |||||
−11.3479 | + | 23.7170i | −0.500050 | + | 1.04510i | |||||
−36.4472 | − | 19.5910i | −1.60450 | − | 0.862445i | |||||
41.0677 | + | 20.9250i | 1.80616 | + | 0.920282i | |||||
3.26812 | − | 3.74244i | 0.143593 | − | 0.164434i | |||||
4.94664 | + | 15.2242i | 0.217133 | + | 0.668267i | |||||
0.241149 | + | 0.400674i | 0.0105751 | + | 0.0175707i | |||||
1.78358 | − | 5.48931i | 0.0781402 | − | 0.240491i | −0.904354 | − | 0.426783i | ||
0.982494 | + | 0.186292i | ||||||||
−42.8961 | − | 71.7576i | −1.87751 | − | 3.14074i | |||||
−4.36444 | + | 27.5560i | −0.190844 | + | 1.20494i | 0.687239 | + | 0.726431i | ||
−0.878083 | + | 0.478509i | ||||||||
−16.6111 | + | 2.25808i | −0.725657 | + | 0.0986445i | |||||
−13.4508 | − | 8.78178i | −0.587043 | − | 0.383268i | |||||
−1.63678 | − | 24.1920i | −0.0713672 | − | 1.05482i | |||||
−15.0583 | − | 2.38499i | −0.655948 | − | 0.103892i | |||||
32.9571 | − | 30.1811i | 1.43428 | − | 1.31346i | |||||
20.5716 | + | 6.68413i | 0.894418 | + | 0.290614i | |||||
−17.8431 | + | 30.0521i | −0.775054 | + | 1.30538i | |||||
−12.0962 | + | 3.93029i | −0.524931 | + | 0.170560i | |||||
1.09927 | − | 1.44516i | 0.0476594 | − | 0.0626555i | |||||
−0.347271 | + | 0.681558i | −0.0150420 | + | 0.0295215i | |||||
5.74671 | + | 3.60901i | 0.248684 | + | 0.156177i | |||||
3.97091 | − | 29.8806i | 0.171678 | − | 1.29185i | |||||
13.8386 | + | 12.6311i | 0.597735 | + | 0.545580i | |||||
−54.3925 | + | 8.61492i | −2.34721 | + | 0.371761i | |||||
−0.111556 | − | 0.488229i | −0.00480951 | − | 0.0210490i | |||||
−2.81331 | + | 2.04399i | −0.121178 | + | 0.0880408i | |||||
−19.3650 | − | 58.9981i | −0.833335 | − | 2.53888i | |||||
8.86180 | + | 6.43847i | 0.380998 | + | 0.276812i | 0.761757 | − | 0.647863i | ||
−0.380758 | + | 0.924675i | ||||||||
−13.2903 | + | 31.1144i | −0.570867 | + | 1.33648i | |||||
6.84730 | − | 6.84730i | 0.293846 | − | 0.293846i | |||||
12.1557 | − | 9.27795i | 0.521170 | − | 0.397789i | |||||
−9.83394 | + | 0.245515i | −0.421240 | + | 0.0105167i | |||||
0.0820105 | − | 0.325790i | 0.00350972 | − | 0.0139425i | |||||
−0.739673 | + | 0.376882i | −0.0316261 | + | 0.0161143i | −0.469732 | − | 0.882809i | ||
0.438106 | + | 0.898923i | ||||||||
1.87196 | + | 0.0411329i | 0.0799662 | + | 0.00175711i | |||||
− | 29.1443i | − | 1.24385i | |||||||
−6.66663 | − | 23.6682i | −0.284266 | − | 1.00922i | |||||
− | 7.32999i | − | 0.312268i | |||||||
−0.484632 | − | 10.6239i | −0.0206273 | − | 0.452185i | |||||
10.2551 | − | 5.22524i | 0.436092 | − | 0.222200i | |||||
18.7604 | + | 4.72253i | 0.797055 | + | 0.200641i | |||||
7.19784 | − | 24.1912i | 0.305532 | − | 1.02686i | |||||
−0.803014 | + | 0.387177i | −0.0340554 | + | 0.0164199i | |||||
−9.05930 | + | 9.05930i | −0.383855 | + | 0.383855i | −0.872489 | − | 0.488634i | ||
0.488634 | + | 0.872489i | ||||||||
−53.7045 | − | 22.9395i | −2.27349 | − | 0.971105i | |||||
−0.385226 | − | 0.279883i | −0.0162933 | − | 0.0118378i | |||||
4.21112 | − | 7.89091i | 0.177952 | − | 0.333452i | |||||
−24.4332 | + | 17.7517i | −1.03157 | + | 0.749479i | |||||
8.63021 | − | 1.97193i | 0.364044 | − | 0.0831806i | |||||
25.8539 | − | 4.09486i | 1.08961 | − | 0.172578i | 0.414323 | − | 0.910130i | ||
0.675291 | + | 0.737552i | ||||||||
58.8842 | + | 61.5300i | 2.47947 | + | 2.59088i | |||||
−27.1249 | + | 28.5139i | −1.14115 | + | 1.19959i | |||||
−1.57337 | + | 2.50531i | −0.0661338 | + | 0.105306i | |||||
−10.2798 | + | 20.1753i | −0.431712 | + | 0.847282i | |||||
−20.5805 | + | 31.2259i | −0.863537 | + | 1.31021i | |||||
17.5782 | − | 5.71150i | 0.736917 | − | 0.239439i | 0.0835745 | − | 0.996502i | ||
0.653342 | + | 0.757063i | ||||||||
2.02764 | − | 8.99793i | 0.0849286 | − | 0.376882i | |||||
15.1743 | + | 4.93042i | 0.635024 | + | 0.206332i | 0.608799 | − | 0.793324i | ||
0.0262248 | + | 0.999656i | ||||||||
0.422579 | − | 0.293058i | 0.0176689 | − | 0.0122534i | |||||
58.5118 | + | 9.26736i | 2.44437 | + | 0.387150i | |||||
14.5968 | − | 0.987590i | 0.609259 | − | 0.0412212i | |||||
−5.34001 | − | 2.39314i | −0.222694 | − | 0.0998009i | |||||
53.8282 | − | 23.0971i | 2.24284 | − | 0.962381i | |||||
1.74314 | − | 11.0058i | 0.0725679 | − | 0.458176i | −0.924469 | − | 0.381256i | ||
0.997037 | − | 0.0769195i | ||||||||
11.7653 | − | 7.03320i | 0.489372 | − | 0.292542i | |||||
−5.13231 | + | 15.7956i | −0.213291 | + | 0.656444i | |||||
−5.75511 | − | 35.6459i | −0.238968 | − | 1.48011i | |||||
1.32547 | + | 4.07938i | 0.0549897 | + | 0.169241i | |||||
−47.5584 | − | 41.5308i | −1.97136 | − | 1.72151i | |||||
34.2443 | + | 17.4483i | 1.41825 | + | 0.722636i | |||||
12.2422 | − | 27.0027i | 0.506587 | − | 1.11738i | |||||
−0.219157 | − | 1.19056i | −0.00906104 | − | 0.0492238i | |||||
19.9123 | − | 16.6319i | 0.822570 | − | 0.687059i | |||||
−0.0310454 | − | 0.196013i | −0.00128138 | − | 0.00809031i | 0.987039 | − | 0.160478i | ||
−0.988321 | + | 0.152388i | ||||||||
−6.15317 | + | 1.85087i | −0.253752 | + | 0.0763284i | |||||
−3.00961 | − | 4.14237i | −0.124009 | − | 0.170683i | |||||
−5.48176 | − | 0.354415i | −0.225680 | − | 0.0145910i | |||||
−1.54977 | + | 2.13308i | −0.0637492 | + | 0.0877432i | |||||
13.7702 | + | 2.80597i | 0.565952 | + | 0.115325i | |||||
−14.3735 | − | 14.3735i | −0.590249 | − | 0.590249i | 0.347449 | − | 0.937699i | ||
−0.937699 | + | 0.347449i | ||||||||
−63.3689 | + | 25.4364i | −2.60006 | + | 1.04367i | |||||
−3.42979 | + | 4.97737i | −0.140608 | + | 0.204052i | |||||
3.73057 | − | 20.6123i | 0.152810 | − | 0.844314i | |||||
2.40464 | + | 4.71937i | 0.0984152 | + | 0.193151i | |||||
0.0109416 | − | 0.121892i | 0.000447433 | − | 0.00498452i | |||||
27.4145 | 1.12013 | 0.560064 | − | 0.828449i | ||||||
0.560064 | + | 0.828449i | ||||||||
2.79579 | − | 45.3491i | 0.114138 | − | 1.85137i | |||||
11.9310 | 0.486674 | 0.243337 | − | 0.969942i | ||||||
0.243337 | + | 0.969942i | ||||||||
−0.814232 | + | 9.07075i | −0.0331856 | + | 0.369696i | |||||
−22.0193 | − | 43.2153i | −0.896695 | − | 1.75986i | |||||
−4.61844 | + | 25.5180i | −0.187922 | + | 1.03831i | |||||
−2.30394 | + | 0.812710i | −0.0936687 | + | 0.0330414i | |||||
−32.4868 | + | 13.0403i | −1.31969 | + | 0.529724i | |||||
11.2316 | + | 11.2316i | 0.455878 | + | 0.455878i | 0.897300 | − | 0.441422i | ||
−0.441422 | + | 0.897300i | ||||||||
5.08999 | + | 0.683392i | 0.206426 | + | 0.0277152i | |||||
−15.2468 | + | 20.9854i | −0.617831 | + | 0.850371i | |||||
4.65400 | − | 11.6954i | 0.188435 | − | 0.473535i | |||||
0.576057 | + | 0.792875i | 0.0233048 | + | 0.0320763i | |||||
−37.9074 | + | 11.4025i | −1.53231 | + | 0.460919i | |||||
4.39303 | + | 27.7365i | 0.177433 | + | 1.12027i | 0.902214 | + | 0.431288i | ||
−0.724781 | + | 0.688979i | ||||||||
−1.82916 | + | 1.52782i | −0.0738189 | + | 0.0616579i | |||||
65.3556 | − | 35.3821i | 2.63539 | − | 1.42674i | |||||
−8.95804 | − | 4.06131i | −0.360930 | − | 0.163635i | |||||
22.4401 | + | 11.4338i | 0.903403 | + | 0.460307i | 0.843028 | − | 0.537869i | ||
0.0603744 | + | 0.998176i | ||||||||
40.2399 | + | 35.1399i | 1.61869 | + | 1.41353i | |||||
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0.233643 | − | 1.47516i | 0.00936071 | − | 0.0591012i | |||||
0.915739 | − | 0.253655i | 0.0366589 | − | 0.0101543i | |||||
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13.3689 | − | 9.27133i | 0.533479 | − | 0.369966i | |||||
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0.243549 | + | 0.969889i | ||||||||
27.1814 | + | 17.9147i | 1.08122 | + | 0.712610i | |||||
11.3759 | − | 22.3264i | 0.452150 | − | 0.887394i | |||||
18.0528 | − | 28.7458i | 0.716968 | − | 1.14164i | |||||
17.3734 | + | 32.0910i | 0.689441 | + | 1.27349i | |||||
49.1005 | + | 51.3068i | 1.94696 | + | 2.03445i | |||||
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78.3211 | − | 56.9036i | 3.09834 | − | 2.25107i | |||||
25.2893 | − | 0.673030i | 0.999646 | − | 0.0266038i | |||||
26.0128 | + | 18.8994i | 1.02745 | + | 0.746483i | 0.967796 | − | 0.251736i | ||
0.0596497 | + | 0.998219i | ||||||||
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0.570763 | + | 0.821115i | ||||||||
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6.04067i | 0.237117i | |||||||||
0.102172 | − | 0.512763i | 0.00400753 | − | 0.0201122i | |||||
18.1195i | 0.710161i | |||||||||
8.32812 | + | 0.182995i | 0.326154 | + | 0.00716665i | |||||
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15.4333 | + | 10.6347i | 0.603027 | + | 0.415532i | |||||
22.8288 | + | 34.5135i | 0.891316 | + | 1.34753i | |||||
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7.36302 | − | 17.2379i | 0.287041 | − | 0.672002i | |||||
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0.612054 | + | 0.790816i | ||||||||
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24.8702 | − | 32.6956i | 0.962257 | − | 1.26503i | |||||
31.6205 | − | 10.2741i | 1.22252 | − | 0.397220i | |||||
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41.0307 | + | 68.6371i | 1.57577 | + | 2.63599i | |||||
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2.28204 | + | 7.02338i | 0.0874478 | + | 0.269137i | |||||
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1.07479 | + | 0.547633i | 0.0411257 | + | 0.0209546i | 0.474432 | − | 0.880292i | ||
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0.906590 | + | 1.08540i | 0.0346138 | + | 0.0414408i | |||||
9.79260 | + | 61.8281i | 0.373611 | + | 2.35889i | |||||
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0.480345 | + | 0.661138i | 0.0182997 | + | 0.0251873i | |||||
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15.8698 | − | 21.8430i | 0.603717 | − | 0.830945i | −0.392325 | − | 0.919827i | ||
0.996042 | + | 0.0888812i | ||||||||
9.40740 | + | 3.28683i | 0.357616 | + | 0.124946i | |||||
18.0037 | + | 18.0037i | 0.683904 | + | 0.683904i | |||||
10.2897 | + | 25.6344i | 0.390591 | + | 0.973067i | |||||
0.955315 | + | 0.284244i | 0.0362372 | + | 0.0107820i | |||||
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22.8404 | + | 2.05026i | 0.864524 | + | 0.0776036i | |||||
−34.3828 | −1.30048 | |||||||||
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24.4885 | 0.924917 | 0.462458 | − | 0.886641i | ||||||
0.462458 | + | 0.886641i | ||||||||
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5.44802 | + | 5.44802i | 0.204894 | + | 0.204894i | |||||
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0.469460 | + | 0.882954i | ||||||||
40.5166 | − | 10.3281i | 1.52056 | − | 0.387608i | |||||
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3.95399 | − | 1.48714i | 0.148182 | − | 0.0557329i | |||||
1.03256 | + | 6.51935i | 0.0386698 | + | 0.244152i | |||||
7.87361 | + | 9.42655i | 0.294662 | + | 0.352780i | |||||
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23.3844 | + | 11.9149i | 0.873307 | + | 0.444972i | |||||
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0.324451 | − | 0.945902i | ||||||||
−61.8876 | − | 21.4152i | −2.30642 | − | 0.798099i | |||||
3.63347 | − | 11.1827i | 0.135317 | − | 0.416464i | |||||
13.1890 | + | 22.0628i | 0.490843 | + | 0.821094i | |||||
15.2359 | − | 96.1959i | 0.566631 | − | 3.57757i | |||||
−0.811993 | − | 5.97326i | −0.0301775 | − | 0.221994i | |||||
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0.335099 | + | 4.95284i | 0.0124367 | + | 0.183817i | |||||
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−0.447201 | + | 0.894434i | ||||||||
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30.3988 | + | 9.87718i | 1.12588 | + | 0.365822i | |||||
−30.4442 | + | 13.1118i | −1.12679 | + | 0.485291i | |||||
16.5563 | − | 5.37945i | 0.612355 | − | 0.198966i | |||||
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−0.959155 | + | 0.282882i | ||||||||
25.2106 | + | 15.8326i | 0.930539 | + | 0.584391i | |||||
6.48034 | + | 3.10067i | 0.239031 | + | 0.114370i | |||||
−5.44648 | − | 3.76386i | −0.200760 | − | 0.138738i | |||||
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−0.995443 | + | 0.0953592i | ||||||||
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−0.174479 | − | 0.126766i | −0.00640965 | − | 0.00465688i | |||||
6.13965 | − | 14.3738i | 0.225394 | − | 0.527678i | |||||
1.74948 | − | 1.74948i | 0.0641820 | − | 0.0641820i | −0.674287 | − | 0.738469i | ||
0.738469 | + | 0.674287i | ||||||||
−44.5562 | + | 25.3236i | −1.63351 | + | 0.928410i | |||||
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1.98360 | − | 7.87993i | 0.0726247 | − | 0.288505i | |||||
27.9824 | − | 14.2578i | 1.02382 | − | 0.521664i | |||||
−0.413012 | + | 18.7962i | −0.0151012 | + | 0.687257i | |||||
13.4805i | 0.492566i | |||||||||
−36.4417 | + | 35.3899i | −1.33066 | + | 1.29226i | |||||
− | 1.87197i | − | 0.0683093i | −0.999417 | − | 0.0341547i | ||||
0.999417 | − | 0.0341547i | ||||||||
52.6786 | − | 5.98564i | 1.92099 | − | 0.218274i | |||||
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−0.818733 | − | 0.206098i | −0.0298165 | − | 0.00750565i | |||||
23.0236 | − | 17.6221i | 0.837915 | − | 0.641334i | |||||
12.0606 | + | 25.0140i | 0.438639 | + | 0.909749i | |||||
10.6552 | − | 10.6552i | 0.387271 | − | 0.387271i | −0.486442 | − | 0.873713i | ||
0.873713 | + | 0.486442i | ||||||||
−32.8070 | − | 14.0133i | −1.19160 | − | 0.508985i | |||||
10.5781 | + | 7.68547i | 0.383962 | + | 0.278965i | |||||
−3.69401 | − | 4.39580i | −0.133996 | − | 0.159452i | |||||
19.8929 | − | 14.4530i | 0.721115 | − | 0.523921i | −0.165625 | − | 0.986189i | ||
0.886740 | + | 0.462268i | ||||||||
72.2860 | − | 16.5167i | 2.61865 | − | 0.598337i | |||||
4.34508 | − | 0.688193i | 0.157303 | − | 0.0249143i | |||||
26.6438 | − | 25.4981i | 0.963938 | − | 0.922487i | |||||
39.9230 | + | 19.1020i | 1.44342 | + | 0.690636i | |||||
−3.09020 | + | 4.92059i | −0.111653 | + | 0.177788i | |||||
−0.0583122 | + | 0.114444i | −0.00210553 | + | 0.00413234i | |||||
12.4663 | − | 49.8695i | 0.449839 | − | 1.79951i | |||||
−26.2801 | + | 8.53892i | −0.947685 | + | 0.307921i | −0.741774 | − | 0.670650i | ||
−0.205910 | + | 0.978571i | ||||||||
4.34980 | + | 10.0998i | 0.156756 | + | 0.363970i | |||||
−85.4987 | − | 27.7802i | −3.07916 | − | 1.00048i | |||||
5.89196 | + | 8.49599i | 0.212056 | + | 0.305778i | |||||
0.686778 | + | 0.108775i | 0.0247017 | + | 0.00391236i | 0.168773 | − | 0.985655i | ||
−0.144071 | + | 0.989567i | ||||||||
66.5290 | − | 4.50122i | 2.39134 | − | 0.161793i | |||||
1.40718 | + | 28.1643i | 0.0505474 | + | 1.01169i | |||||
−38.5011 | + | 7.91145i | −1.38211 | + | 0.284004i | |||||
−1.76573 | + | 11.1484i | −0.0633453 | + | 0.399946i | |||||
10.1916 | − | 6.09245i | 0.365387 | − | 0.218425i | |||||
2.90227 | − | 8.93228i | 0.103985 | − | 0.320032i | |||||
−0.948025 | − | 0.479476i | −0.0339447 | − | 0.0171680i | |||||
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3.37008 | + | 2.94295i | 0.120514 | + | 0.105240i | |||||
99.8859 | + | 50.8944i | 3.56963 | + | 1.81882i | |||||
−1.40198 | + | 3.74626i | −0.0500706 | + | 0.133795i | |||||
−18.0310 | − | 2.39619i | −0.643553 | − | 0.0855236i | |||||
29.2288 | − | 24.4136i | 1.04256 | − | 0.870804i | |||||
−0.937263 | − | 5.91764i | −0.0334098 | − | 0.210941i | 0.965336 | − | 0.261011i | ||
−0.998746 | + | 0.0500694i | ||||||||
0.472791 | + | 1.57179i | 0.0168425 | + | 0.0559925i | |||||
32.3777 | + | 44.5640i | 1.15268 | + | 1.58652i | |||||
−8.99038 | − | 35.2687i | −0.319863 | − | 1.25480i | |||||
10.3450 | − | 14.2387i | 0.367827 | − | 0.506270i | |||||
−19.1096 | + | 69.4331i | −0.679031 | + | 2.46720i | |||||
−0.208117 | − | 0.208117i | −0.00739047 | − | 0.00739047i | |||||
18.1818 | − | 7.29819i | 0.645246 | − | 0.259003i | |||||
−1.98164 | − | 79.3733i | −0.0702817 | − | 2.81508i | |||||
3.24456 | + | 0.587225i | 0.115000 | + | 0.0208136i | |||||
−24.2883 | − | 47.6685i | −0.860336 | − | 1.68851i | −0.715002 | − | 0.699123i | ||
−0.145335 | − | 0.989383i | ||||||||
−0.368787 | + | 4.10838i | −0.0130549 | + | 0.145435i | |||||
−35.8299 | −1.26757 | |||||||||
−21.4154 | − | 18.4765i | −0.757148 | − | 0.653244i | |||||
−10.9355 | −0.386386 | |||||||||
−2.81215 | + | 31.3280i | −0.0993004 | + | 1.10623i | |||||
16.5485 | + | 32.4783i | 0.583985 | + | 1.14614i | |||||
−41.8840 | − | 7.58048i | −1.47713 | − | 0.267343i | |||||
2.50830 | + | 0.746320i | 0.0884060 | + | 0.0263043i | |||||
−0.547309 | + | 0.219691i | −0.0192781 | + | 0.00773828i | |||||
0.804492 | + | 0.804492i | 0.0283195 | + | 0.0283195i | |||||
−5.78267 | + | 21.0108i | −0.203434 | + | 0.739158i | |||||
−23.5924 | + | 32.4721i | −0.829464 | + | 1.14166i | 0.158559 | + | 0.987350i | ||
−0.988023 | + | 0.154309i | ||||||||
55.0929 | + | 45.7377i | 1.93577 | + | 1.60706i | |||||
−24.4958 | − | 33.7156i | −0.860165 | − | 1.18392i | −0.981530 | − | 0.191308i | ||
0.121365 | − | 0.992608i | ||||||||
4.65136 | + | 15.4633i | 0.163231 | + | 0.542657i | |||||
−12.0240 | − | 75.9165i | −0.421700 | − | 2.66251i | |||||
−13.2606 | + | 11.0761i | −0.464785 | + | 0.388216i | |||||
−6.74786 | − | 6.41913i | −0.236367 | − | 0.224852i | |||||
−12.1760 | + | 32.5357i | −0.426244 | + | 1.13898i | |||||
5.20922 | + | 2.65423i | 0.182248 | + | 0.0928598i | |||||
4.27753 | + | 3.73539i | 0.149560 | + | 0.130605i | |||||
0.167296 | + | 0.514885i | 0.00584581 | + | 0.0179915i | |||||
7.10068 | − | 45.7166i | 0.247966 | − | 1.59649i | |||||
−4.05554 | + | 12.4817i | −0.141539 | + | 0.435614i | −0.996550 | − | 0.0829973i | ||
0.855010 | + | 0.518611i | ||||||||
−3.65105 | + | 2.18256i | −0.127345 | + | 0.0761256i | |||||
4.54237 | − | 28.6794i | 0.158337 | − | 0.999702i | −0.772698 | − | 0.634773i | ||
0.931036 | − | 0.364928i | ||||||||
32.5764 | − | 6.69400i | 1.13485 | − | 0.233197i | |||||
41.4214 | + | 37.4793i | 1.44211 | + | 1.30486i | |||||
2.45103 | − | 0.165832i | 0.0852823 | − | 0.00577002i | |||||
−50.3119 | − | 7.96862i | −1.74952 | − | 0.277096i | −0.802121 | − | 0.597162i | ||
−0.947395 | + | 0.320066i | ||||||||
9.76649 | + | 14.0829i | 0.339409 | + | 0.489416i | |||||
−31.6985 | − | 10.2995i | −1.10093 | − | 0.357715i | −0.298472 | − | 0.954418i | ||
−0.802462 | + | 0.596703i | ||||||||
13.5060 | − | 1.25310i | 0.468799 | − | 0.0434956i | |||||
−41.7978 | + | 13.5809i | −1.44995 | + | 0.471117i | |||||
0.219448 | − | 0.549318i | 0.00760799 | − | 0.0190442i | |||||
1.22725 | − | 2.40861i | 0.0425216 | − | 0.0834533i | |||||
1.07708 | − | 1.71507i | 0.0372964 | − | 0.0593878i | |||||
−45.1694 | + | 8.31472i | −1.56315 | + | 0.287743i | |||||
−4.56174 | + | 4.36558i | −0.157771 | + | 0.150987i | |||||
77.3448 | − | 12.2502i | 2.67343 | − | 0.423429i | |||||
47.8910 | − | 10.9426i | 1.65437 | − | 0.378008i | |||||
23.3666 | − | 16.9768i | 0.806705 | − | 0.586105i | −0.106169 | − | 0.994348i | ||
0.912873 | + | 0.408243i | ||||||||
1.43226 | + | 20.2687i | 0.0494176 | + | 0.699337i | |||||
29.2763 | + | 21.2705i | 1.00953 | + | 0.733464i | |||||
17.5457 | + | 7.49453i | 0.604666 | + | 0.258279i | |||||
−14.2207 | + | 14.2207i | −0.489786 | + | 0.489786i | |||||
−6.77465 | − | 14.0508i | −0.233193 | − | 0.483649i | |||||
23.9263 | + | 16.4871i | 0.823089 | + | 0.567172i | |||||
−133.092 | − | 33.5029i | −4.57578 | − | 1.15185i | |||||
0.973496 | − | 0.496021i | 0.0334497 | − | 0.0170435i | |||||
43.9260 | − | 4.99112i | 1.50843 | − | 0.171396i | |||||
− | 6.72076i | − | 0.230656i | |||||||
12.9705 | + | 14.0408i | 0.444884 | + | 0.481594i | |||||
4.11178i | 0.140950i | |||||||||
1.86638 | − | 84.9389i | 0.0639411 | − | 2.90996i | |||||
−12.7662 | + | 6.50472i | −0.437108 | + | 0.222717i | −0.658675 | − | 0.752428i | ||
0.221567 | + | 0.975145i | ||||||||
−1.37417 | + | 5.45896i | −0.0470232 | + | 0.186802i | |||||
4.94448 | + | 14.0171i | 0.169098 | + | 0.479373i | |||||
−33.1487 | + | 18.8401i | −1.13300 | + | 0.643943i | |||||
5.50998 | − | 5.50998i | 0.188217 | − | 0.188217i | −0.606708 | − | 0.794925i | ||
0.794925 | + | 0.606708i | ||||||||
−0.458902 | + | 1.07435i | −0.0156667 | + | 0.0366778i | |||||
16.4136 | + | 11.9252i | 0.560026 | + | 0.406883i | 0.831469 | − | 0.555572i | ||
−0.271442 | + | 0.962455i | ||||||||
27.4165 | + | 8.81758i | 0.934895 | + | 0.300677i | |||||
−26.8887 | + | 19.5358i | −0.916365 | + | 0.665778i | |||||
−7.91222 | − | 34.6281i | −0.269491 | − | 1.17944i | |||||
−16.2307 | + | 2.57070i | −0.552501 | + | 0.0875076i | −0.426442 | − | 0.904515i | ||
−0.126059 | + | 0.992023i | ||||||||
−44.6540 | + | 64.6164i | −1.51916 | + | 2.19829i | |||||
−5.30422 | − | 9.79762i | −0.180349 | − | 0.333129i | |||||
34.0922 | + | 21.4104i | 1.15850 | + | 0.727553i | |||||
−14.1371 | + | 27.7455i | −0.480120 | + | 0.942288i | |||||
8.97766 | + | 6.82894i | 0.304722 | + | 0.231789i | |||||
−38.0650 | + | 12.3681i | −1.29127 | + | 0.419558i | |||||
54.1391 | + | 61.6236i | 1.83549 | + | 2.08924i | |||||
−0.465836 | − | 0.151359i | −0.0157842 | − | 0.00512861i | |||||
7.76491 | + | 9.72281i | 0.262953 | + | 0.329256i | |||||
100.495 | + | 15.9169i | 3.40126 | + | 0.538706i | |||||
0.101433 | + | 1.49920i | 0.00343101 | + | 0.0507112i | |||||
10.3136 | + | 4.31628i | 0.348662 | + | 0.145917i | |||||
9.07248 | + | 66.7398i | 0.306531 | + | 2.25493i | |||||
4.82044 | − | 30.4351i | 0.162775 | − | 1.02772i | −0.762104 | − | 0.647455i | ||
0.924878 | − | 0.380264i | ||||||||
−6.10786 | − | 10.2174i | −0.206130 | − | 0.344820i | |||||
−18.2134 | + | 56.0551i | −0.614323 | + | 1.89069i | |||||
−18.7562 | + | 24.8115i | −0.632272 | + | 0.836396i | |||||
−8.65880 | − | 26.6490i | −0.291722 | − | 0.897829i | −0.984303 | − | 0.176488i | ||
0.692580 | − | 0.721341i | ||||||||
6.81084 | − | 7.79934i | 0.229333 | − | 0.262617i | |||||
13.2849 | + | 6.76898i | 0.447072 | + | 0.227794i | 0.663007 | − | 0.748613i | ||
−0.215935 | + | 0.976408i | ||||||||
−0.189269 | + | 0.352118i | −0.00636582 | + | 0.0118430i | |||||
10.9742 | − | 5.94120i | 0.368894 | − | 0.199711i | |||||
−15.6357 | − | 18.7196i | −0.525293 | − | 0.628898i | |||||
−0.354375 | − | 2.23744i | −0.0118988 | − | 0.0751258i | 0.981024 | − | 0.193884i | ||
−0.992923 | + | 0.118758i | ||||||||
−29.8818 | + | 11.2389i | −1.00277 | + | 0.377153i | |||||
−9.59249 | − | 13.2029i | −0.321722 | − | 0.442812i | |||||
−4.38834 | − | 1.74626i | −0.147098 | − | 0.0585349i | |||||
46.2825 | − | 63.7024i | 1.55052 | − | 2.13411i | |||||
6.82671 | − | 19.5391i | 0.228575 | − | 0.654217i | |||||
−8.50876 | − | 8.50876i | −0.284735 | − | 0.284735i | |||||
17.7267 | + | 44.1621i | 0.592870 | + | 1.47700i | |||||
36.1460 | − | 12.7504i | 1.20823 | − | 0.426199i | |||||
−11.1715 | + | 1.78825i | −0.373213 | + | 0.0597411i | |||||
0.126219 | + | 0.247719i | 0.00421434 | + | 0.00827111i | |||||
−5.78903 | − | 0.519650i | −0.193182 | − | 0.0173409i | |||||
45.5357 | 1.51870 | |||||||||
35.0505 | + | 64.2831i | 1.16835 | + | 2.14277i | |||||
−29.8767 | −0.995337 | |||||||||
−50.6718 | − | 4.54854i | −1.68719 | − | 0.151450i | |||||
−9.39280 | − | 18.4344i | −0.312573 | − | 0.613459i | |||||
49.4713 | + | 5.53873i | 1.64539 | + | 0.184216i | |||||
−3.82419 | + | 5.54973i | −0.127120 | + | 0.184479i | |||||
−21.9457 | − | 54.6726i | −0.729096 | − | 1.81637i | |||||
39.9891 | + | 39.9891i | 1.32782 | + | 1.32782i | 0.907271 | + | 0.420547i | ||
0.420547 | + | 0.907271i | ||||||||
4.33993 | + | 1.51632i | 0.144026 | + | 0.0503207i | |||||
33.1581 | − | 45.6382i | 1.09978 | − | 1.51372i | |||||
−0.0150860 | + | 0.233336i | −0.000500095 | + | 0.00773500i | |||||
−4.96295 | − | 6.83092i | −0.164430 | − | 0.226318i | 0.718849 | − | 0.695166i | ||
−0.883279 | + | 0.468848i | ||||||||
−10.6180 | + | 4.83497i | −0.351597 | + | 0.160102i | |||||
−2.33335 | − | 14.7322i | −0.0772225 | − | 0.487564i | |||||
6.87512 | + | 8.23113i | 0.227409 | + | 0.272261i | |||||
5.17685 | + | 28.1231i | 0.171142 | + | 0.929721i | |||||
34.3245 | + | 18.4500i | 1.13411 | + | 0.609605i | |||||
−7.46834 | − | 3.80531i | −0.246626 | − | 0.125662i | |||||
34.9148 | − | 39.9822i | 1.15236 | − | 1.31961i | |||||
10.6086 | + | 32.6500i | 0.349946 | + | 1.07702i | 0.958882 | + | 0.283804i | ||
−0.608937 | + | 0.793219i | ||||||||
1.67036 | + | 7.21099i | 0.0550701 | + | 0.237739i | |||||
1.67310 | − | 5.14927i | 0.0551305 | − | 0.169674i | |||||
11.4279 | + | 19.1169i | 0.376359 | + | 0.629582i | |||||
0.152941 | − | 0.965630i | 0.00503411 | − | 0.0317841i | |||||
22.1407 | − | 3.00976i | 0.728375 | − | 0.0990139i | |||||
−1.87879 | + | 17.4657i | −0.0617741 | + | 0.574270i | |||||
1.40965 | + | 20.8350i | 0.0463241 | + | 0.684681i | |||||
−85.0308 | − | 13.4676i | −2.79278 | − | 0.442333i | |||||
−31.5239 | + | 33.0491i | −1.03482 | + | 1.08489i | |||||
−23.7048 | − | 7.70215i | −0.777729 | − | 0.252699i | −0.106859 | − | 0.994274i | ||
−0.670870 | + | 0.741575i | ||||||||
55.8974 | + | 12.5962i | 1.83295 | + | 0.413046i | |||||
0.863431 | − | 0.280546i | 0.0282978 | − | 0.00919451i | |||||
−12.9583 | + | 17.0356i | −0.424463 | + | 0.558020i | |||||
15.2438 | − | 29.9177i | 0.499061 | − | 0.979462i | |||||
−30.0580 | − | 18.8768i | −0.983527 | − | 0.617668i | |||||
14.4877 | − | 15.2296i | 0.473798 | − | 0.498062i | |||||
−1.03230 | + | 1.13098i | −0.0337417 | + | 0.0369673i | |||||
−32.2481 | + | 5.10759i | −1.05350 | + | 0.166858i | −0.659079 | − | 0.752073i | ||
−0.394418 | + | 0.918931i | ||||||||
2.08676 | + | 9.13280i | 0.0681352 | + | 0.298196i | |||||
39.5668 | − | 28.7470i | 1.29121 | − | 0.938122i | |||||
−48.0589 | − | 34.6976i | −1.56751 | − | 1.13171i | |||||
1.36533 | + | 0.991974i | 0.0445086 | + | 0.0323374i | 0.609817 | − | 0.792542i | ||
−0.565309 | + | 0.824880i | ||||||||
−14.5181 | + | 33.9889i | −0.473025 | + | 1.10742i | |||||
−8.56120 | + | 8.56120i | −0.278791 | + | 0.278791i | |||||
3.83331 | + | 5.79535i | 0.124764 | + | 0.188623i | |||||
8.85424 | − | 29.7582i | 0.288028 | − | 0.968033i | |||||
7.73099 | − | 30.7117i | 0.251356 | − | 0.998523i | |||||
49.1101 | − | 25.0228i | 1.59586 | − | 0.813133i | 0.595915 | − | 0.803048i | ||
0.999949 | − | 0.0100855i | ||||||||
−73.9371 | − | 1.62463i | −2.40136 | − | 0.0527656i | |||||
0.775069i | 0.0251598i | |||||||||
−0.254166 | + | 6.41454i | −0.00824625 | + | 0.208115i | |||||
77.1137i | 2.50058i | |||||||||
7.63798 | − | 0.348422i | 0.247548 | − | 0.0112924i | |||||
−6.62266 | + | 3.37442i | −0.214529 | + | 0.109308i | −0.557953 | − | 0.829872i | ||
0.343424 | + | 0.939180i | ||||||||
−110.978 | − | 27.9363i | −3.59306 | − | 0.904472i | |||||
−41.2188 | + | 1.02907i | −1.33381 | + | 0.0333001i | |||||
14.7167 | − | 7.09570i | 0.475971 | − | 0.229491i | |||||
63.7829 | − | 63.7829i | 2.06181 | − | 2.06181i | |||||
48.5641 | + | 20.7438i | 1.56904 | + | 0.670202i | |||||
0.757407 | + | 0.550288i | 0.0244579 | + | 0.0177697i | |||||
−47.8393 | + | 31.8492i | −1.54401 | + | 1.02793i | |||||
0.653870 | − | 0.475064i | 0.0210926 | − | 0.0153247i | |||||
−0.358151 | + | 0.0818342i | −0.0115472 | + | 0.00263844i | |||||
97.4861 | − | 15.4403i | 3.14145 | − | 0.497556i | |||||
−41.9199 | − | 43.8035i | −1.35015 | − | 1.41082i | |||||
1.52278 | − | 11.4587i | 0.0490201 | − | 0.368870i | |||||
2.82802 | − | 4.50312i | 0.0909901 | − | 0.144885i | |||||
17.6622 | − | 34.6640i | 0.567977 | − | 1.11472i | −0.411169 | − | 0.911559i | ||
0.979146 | − | 0.203159i | ||||||||
2.58027 | + | 1.70061i | 0.0829330 | + | 0.0546596i | |||||
7.49877 | − | 2.43650i | 0.240895 | − | 0.0782716i | |||||
37.7865 | + | 22.4353i | 1.21325 | + | 0.720354i | |||||
32.7371 | + | 10.6369i | 1.05058 | + | 0.341356i | 0.782898 | − | 0.622150i | ||
0.267687 | + | 0.963506i | ||||||||
51.0997 | − | 35.4376i | 1.63902 | − | 1.13666i | |||||
−0.440253 | − | 0.0697292i | −0.0141138 | − | 0.00223541i | |||||
−10.7880 | + | 0.729892i | −0.345669 | + | 0.0233872i | |||||
0.422956 | + | 1.10992i | 0.0135454 | + | 0.0355458i | |||||
−15.3442 | + | 4.25026i | −0.491155 | + | 0.136048i | |||||
4.19255 | − | 26.4707i | 0.134131 | − | 0.846873i | −0.825251 | − | 0.564765i | ||
0.959383 | − | 0.282107i | ||||||||
−16.2431 | + | 9.70996i | −0.519396 | + | 0.310490i | |||||
−1.60495 | + | 4.93954i | −0.0512945 | + | 0.157868i | |||||
3.97861 | − | 2.04222i | 0.127092 | − | 0.0652362i | |||||
−9.95354 | − | 30.6339i | −0.317792 | − | 0.978064i | |||||
41.9055 | + | 36.5944i | 1.33726 | + | 1.16777i | |||||
−9.48402 | − | 4.83235i | −0.302493 | − | 0.154128i | 0.296155 | − | 0.955140i | ||
−0.598649 | + | 0.801012i | ||||||||
−85.6181 | − | 38.8167i | −2.72941 | − | 1.23743i | |||||
0.792044 | − | 1.65536i | 0.0252366 | − | 0.0527441i | |||||
23.6896 | − | 19.7869i | 0.754430 | − | 0.630144i | |||||
6.66147 | + | 42.0589i | 0.212037 | + | 1.33875i | |||||
−0.128567 | + | 0.0386728i | −0.00409026 | + | 0.00123035i | |||||
−4.43001 | − | 6.09738i | −0.140866 | − | 0.193885i | |||||
68.0557 | − | 43.0243i | 2.16295 | − | 1.36740i | |||||
−22.9259 | + | 31.5548i | −0.728266 | + | 1.00237i | 0.270942 | + | 0.962596i | ||
−0.999209 | + | 0.0397771i | ||||||||
−4.24540 | + | 31.6202i | −0.134792 | + | 1.00394i | |||||
56.1285 | + | 56.1285i | 1.78118 | + | 1.78118i | |||||
−17.3532 | + | 6.96561i | −0.550410 | + | 0.220936i | |||||
−2.24061 | − | 2.92740i | −0.0710321 | − | 0.0928049i | |||||
4.90845 | − | 27.1204i | 0.155530 | − | 0.859342i | |||||
17.8211 | + | 34.9759i | 0.564400 | + | 1.10770i | 0.980157 | + | 0.198222i | ||
−0.415757 | + | 0.909476i | ||||||||
0.575718 | − | 6.41364i | 0.0182240 | − | 0.203020i | |||||
48.7816 | 1.54338 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 700.2.bj.a.323.43 | yes | 720 | |
4.3 | odd | 2 | inner | 700.2.bj.a.323.39 | ✓ | 720 | |
25.12 | odd | 20 | inner | 700.2.bj.a.687.39 | yes | 720 | |
100.87 | even | 20 | inner | 700.2.bj.a.687.43 | yes | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
700.2.bj.a.323.39 | ✓ | 720 | 4.3 | odd | 2 | inner | |
700.2.bj.a.323.43 | yes | 720 | 1.1 | even | 1 | trivial | |
700.2.bj.a.687.39 | yes | 720 | 25.12 | odd | 20 | inner | |
700.2.bj.a.687.43 | yes | 720 | 100.87 | even | 20 | inner |