Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(374,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 735.p (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 509.10 | ||
Character | 735.509 | ||
Dual form | 735.2.p.g.374.10 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.451669 | + | 0.782314i | −0.319378 | + | 0.553180i | −0.980358 | − | 0.197224i | ||
0.660980 | + | 0.750403i | ||||||||
−0.697946 | − | 1.58520i | −0.402959 | − | 0.915218i | |||||
0.591990 | + | 1.02536i | 0.295995 | + | 0.512678i | |||||
0.0199888 | − | 2.23598i | 0.00893927 | − | 0.999960i | |||||
1.55537 | + | 0.169975i | 0.634976 | + | 0.0693919i | |||||
0 | 0 | |||||||||
−2.87621 | −1.01689 | |||||||||
−2.02574 | + | 2.21277i | −0.675247 | + | 0.737591i | |||||
1.74021 | + | 1.02556i | 0.550303 | + | 0.324311i | |||||
3.51985 | − | 2.03219i | 1.06127 | − | 0.612727i | 0.135490 | − | 0.990779i | ||
0.925785 | + | 0.378051i | ||||||||
1.21222 | − | 1.65407i | 0.349938 | − | 0.477488i | |||||
−2.88298 | −0.799595 | −0.399798 | − | 0.916603i | ||||||
−0.399798 | + | 0.916603i | ||||||||
0 | 0 | |||||||||
−3.55843 | + | 1.52891i | −0.918783 | + | 0.394762i | |||||
0.115117 | − | 0.199389i | 0.0287793 | − | 0.0498472i | |||||
5.77521 | − | 3.33432i | 1.40069 | − | 0.808691i | 0.406230 | − | 0.913771i | ||
0.994464 | + | 0.105080i | ||||||||
−0.816119 | − | 2.58421i | −0.192361 | − | 0.609104i | |||||
−4.94242 | − | 2.85351i | −1.13387 | − | 0.654639i | −0.188964 | − | 0.981984i | ||
−0.944905 | + | 0.327345i | ||||||||
2.30451 | − | 1.30318i | 0.515304 | − | 0.291400i | |||||
0 | 0 | |||||||||
3.67151i | 0.782768i | |||||||||
−0.815927 | + | 1.41323i | −0.170133 | + | 0.294678i | −0.938466 | − | 0.345371i | ||
0.768333 | + | 0.640050i | ||||||||
2.00744 | + | 4.55938i | 0.409767 | + | 0.930680i | |||||
−4.99920 | − | 0.0893892i | −0.999840 | − | 0.0178778i | |||||
1.30215 | − | 2.25540i | 0.255373 | − | 0.442320i | |||||
4.92156 | + | 1.66682i | 0.947154 | + | 0.320779i | |||||
0 | 0 | |||||||||
− | 5.89707i | − | 1.09506i | −0.836786 | − | 0.547530i | ||||
0.836786 | − | 0.547530i | ||||||||
0.411150 | − | 3.47437i | 0.0750654 | − | 0.634331i | |||||
−1.62006 | + | 0.935342i | −0.290971 | + | 0.167992i | −0.638380 | − | 0.769722i | ||
0.347409 | + | 0.937714i | ||||||||
−2.77222 | − | 4.80163i | −0.490064 | − | 0.848816i | |||||
−5.67810 | − | 4.16132i | −0.988430 | − | 0.724393i | |||||
6.02404i | 1.03311i | |||||||||
0 | 0 | |||||||||
−3.46810 | − | 0.767168i | −0.578017 | − | 0.127861i | |||||
−1.38541 | − | 0.799864i | −0.227759 | − | 0.131497i | 0.381779 | − | 0.924254i | ||
−0.609538 | + | 0.792757i | ||||||||
4.46468 | − | 2.57768i | 0.724266 | − | 0.418155i | |||||
2.01217 | + | 4.57011i | 0.322204 | + | 0.731804i | |||||
−0.0574921 | + | 6.43115i | −0.00909030 | + | 1.01685i | |||||
−9.12244 | −1.42469 | −0.712343 | − | 0.701832i | ||||||
−0.712343 | + | 0.701832i | ||||||||
0 | 0 | |||||||||
− | 7.53359i | − | 1.14886i | −0.818553 | − | 0.574431i | ||||
0.818553 | − | 0.574431i | ||||||||
4.16743 | + | 2.40607i | 0.628264 | + | 0.362728i | |||||
4.90722 | + | 4.57375i | 0.731526 | + | 0.681814i | |||||
−0.737059 | − | 1.27662i | −0.108673 | − | 0.188228i | |||||
−5.98810 | − | 3.45723i | −0.873454 | − | 0.504289i | −0.00495956 | − | 0.999988i | ||
−0.868495 | + | 0.495699i | ||||||||
−0.396417 | − | 0.0433215i | −0.0572179 | − | 0.00625292i | |||||
0 | 0 | |||||||||
2.32792 | − | 3.87057i | 0.329217 | − | 0.547381i | |||||
−9.31636 | − | 6.82771i | −1.30455 | − | 0.956071i | |||||
−1.70670 | − | 2.95608i | −0.236676 | − | 0.409935i | |||||
−0.759325 | − | 1.31519i | −0.104301 | − | 0.180655i | 0.809151 | − | 0.587600i | ||
−0.913453 | + | 0.406945i | ||||||||
−3.52689 | + | 3.09735i | −0.479949 | + | 0.421496i | |||||
−4.47357 | − | 7.91093i | −0.603216 | − | 1.06671i | |||||
0 | 0 | |||||||||
−1.07385 | + | 9.82633i | −0.142235 | + | 1.30153i | |||||
4.61336 | + | 2.66353i | 0.605764 | + | 0.349738i | |||||
−0.495925 | − | 0.858968i | −0.0645640 | − | 0.111828i | 0.831937 | − | 0.554871i | ||
−0.896500 | + | 0.443043i | ||||||||
−3.67423 | − | 2.74356i | −0.474341 | − | 0.354193i | |||||
5.33892 | + | 3.08243i | 0.683578 | + | 0.394664i | 0.801202 | − | 0.598394i | ||
−0.117624 | + | 0.993058i | ||||||||
− | 1.68986i | − | 0.214612i | |||||||
0 | 0 | |||||||||
5.46898 | 0.683622 | |||||||||
−0.0576274 | + | 6.44628i | −0.00714780 | + | 0.799563i | |||||
5.82008 | − | 2.56251i | 0.716403 | − | 0.315424i | |||||
8.73843 | − | 5.04513i | 1.06757 | − | 0.616361i | 0.140053 | − | 0.990144i | ||
0.927516 | + | 0.373783i | ||||||||
6.83773 | + | 3.94776i | 0.829196 | + | 0.478737i | |||||
2.80973 | + | 0.307054i | 0.338251 | + | 0.0369650i | |||||
0 | 0 | |||||||||
− | 4.81213i | − | 0.571095i | −0.958365 | − | 0.285548i | ||||
0.958365 | − | 0.285548i | ||||||||
5.82646 | − | 6.36441i | 0.686655 | − | 0.750052i | |||||
−0.280309 | − | 0.485510i | −0.0328077 | − | 0.0568246i | 0.849155 | − | 0.528143i | ||
−0.881963 | + | 0.471319i | ||||||||
1.25149 | − | 0.722548i | 0.145483 | − | 0.0839946i | |||||
3.34747 | + | 7.98714i | 0.386533 | + | 0.922276i | |||||
− | 6.75699i | − | 0.775079i | |||||||
0 | 0 | |||||||||
−4.48410 | − | 0.490034i | −0.507724 | − | 0.0554854i | |||||
−1.89924 | + | 3.28958i | −0.213681 | + | 0.370106i | −0.952864 | − | 0.303399i | ||
0.739183 | + | 0.673505i | ||||||||
−0.443528 | − | 0.261385i | −0.0495879 | − | 0.0292237i | |||||
−0.792736 | − | 8.96502i | −0.0880817 | − | 0.996113i | |||||
4.12033 | − | 7.13661i | 0.455014 | − | 0.788107i | |||||
− | 4.00431i | − | 0.439530i | −0.975553 | − | 0.219765i | ||||
0.975553 | − | 0.219765i | ||||||||
0 | 0 | |||||||||
−7.34003 | − | 12.9799i | −0.796138 | − | 1.40787i | |||||
5.89364 | + | 3.40269i | 0.635527 | + | 0.366922i | |||||
−9.34806 | + | 4.11584i | −1.00222 | + | 0.441264i | |||||
−10.1238 | + | 5.84500i | −1.07920 | + | 0.623079i | |||||
5.20547 | − | 9.01615i | 0.551779 | − | 0.955710i | −0.446367 | − | 0.894850i | ||
0.998146 | − | 0.0608597i | ||||||||
−5.79455 | + | 1.77317i | −0.610799 | + | 0.186908i | |||||
0 | 0 | |||||||||
−1.93208 | −0.201433 | |||||||||
2.61342 | + | 1.91531i | 0.270999 | + | 0.198608i | |||||
5.40928 | − | 3.12305i | 0.557925 | − | 0.322118i | |||||
−6.47917 | + | 10.9941i | −0.664749 | + | 1.12797i | |||||
−5.67670 | + | 7.74581i | −0.579376 | + | 0.790554i | |||||
14.5370 | 1.47601 | 0.738006 | − | 0.674795i | ||||||
0.738006 | + | 0.674795i | ||||||||
0 | 0 | |||||||||
−2.63354 | + | 11.9053i | −0.264681 | + | 1.19653i | |||||
−2.86782 | − | 5.17888i | −0.286782 | − | 0.517888i | |||||
−6.89867 | − | 11.9488i | −0.686443 | − | 1.18895i | −0.972981 | − | 0.230886i | ||
0.286538 | − | 0.958069i | ||||||||
9.54933 | − | 4.20445i | 0.945524 | − | 0.416303i | |||||
−4.15679 | + | 7.19978i | −0.409581 | + | 0.709415i | −0.994843 | − | 0.101429i | ||
0.585262 | + | 0.810844i | ||||||||
8.29206 | 0.813104 | |||||||||
0 | 0 | |||||||||
1.37186 | 0.133246 | |||||||||
−5.36854 | + | 9.29858i | −0.518996 | + | 0.898927i | 0.480760 | + | 0.876852i | ||
−0.999756 | + | 0.0220754i | ||||||||
1.20443 | + | 6.03309i | 0.115896 | + | 0.580534i | |||||
−0.268338 | − | 0.464774i | −0.0257021 | − | 0.0445173i | 0.852888 | − | 0.522093i | ||
−0.878590 | + | 0.477576i | ||||||||
8.20941 | + | 0.0733891i | 0.782736 | + | 0.00699737i | |||||
−0.301010 | + | 2.75441i | −0.0285706 | + | 0.261437i | |||||
0 | 0 | |||||||||
12.1028 | 1.13854 | 0.569270 | − | 0.822151i | ||||||
0.569270 | + | 0.822151i | ||||||||
−7.20226 | − | 5.27834i | −0.674553 | − | 0.494362i | |||||
3.14364 | + | 1.85264i | 0.293146 | + | 0.172760i | |||||
6.04660 | − | 3.49101i | 0.561413 | − | 0.324132i | |||||
5.84018 | − | 6.37938i | 0.539925 | − | 0.589774i | |||||
0.895977 | 0.0824813 | |||||||||
0 | 0 | |||||||||
10.2348 | − | 4.39746i | 0.934306 | − | 0.401431i | |||||
2.75956 | − | 4.77971i | 0.250870 | − | 0.434519i | |||||
−4.82285 | + | 2.78447i | −0.436640 | + | 0.252094i | |||||
6.36697 | + | 14.4609i | 0.574091 | + | 1.30390i | |||||
−1.91812 | − | 1.10743i | −0.172252 | − | 0.0994497i | |||||
−0.299800 | + | 11.1763i | −0.0268150 | + | 0.999640i | |||||
0 | 0 | |||||||||
22.2883i | 1.97777i | 0.148697 | + | 0.988883i | ||||||
−0.148697 | + | 0.988883i | ||||||||
3.07427 | − | 5.32480i | 0.271730 | − | 0.470650i | |||||
−11.9423 | + | 5.25804i | −1.05146 | + | 0.462945i | |||||
−5.01699 | − | 2.95667i | −0.440019 | − | 0.259317i | |||||
0.0570895 | − | 0.0988819i | 0.00498793 | − | 0.00863935i | −0.863521 | − | 0.504313i | ||
0.868509 | + | 0.495674i | ||||||||
0.905465 | − | 8.28553i | 0.0788106 | − | 0.721163i | |||||
0 | 0 | |||||||||
9.11493i | 0.787410i | |||||||||
3.82534 | − | 10.9712i | 0.329233 | − | 0.944249i | |||||
−16.6107 | + | 9.59021i | −1.42436 | + | 0.822353i | |||||
6.27188 | + | 10.8632i | 0.535842 | + | 0.928106i | 0.999122 | + | 0.0418942i | ||
−0.463280 | + | 0.886212i | ||||||||
−1.50928 | + | 2.05940i | −0.128478 | + | 0.175308i | |||||
− | 2.37640i | − | 0.201564i | −0.994909 | − | 0.100782i | ||||
0.994909 | − | 0.100782i | ||||||||
0 | 0 | |||||||||
−1.30104 | + | 11.9053i | −0.109568 | + | 1.00261i | |||||
3.76460 | + | 2.17349i | 0.315918 | + | 0.182395i | |||||
−10.1477 | + | 5.85876i | −0.848590 | + | 0.489934i | |||||
0.208004 | + | 0.658638i | 0.0173337 | + | 0.0548865i | |||||
−13.1857 | − | 0.117876i | −1.09502 | − | 0.00978903i | |||||
0.506428 | 0.0419123 | |||||||||
0 | 0 | |||||||||
− | 1.89405i | − | 0.155690i | |||||||
14.2621 | + | 8.23423i | 1.16840 | + | 0.674575i | 0.953302 | − | 0.302018i | ||
0.215096 | + | 0.976593i | ||||||||
−7.76040 | − | 0.988771i | −0.633634 | − | 0.0807328i | |||||
6.57364 | + | 11.3859i | 0.534955 | + | 0.926569i | 0.999166 | + | 0.0408444i | ||
−0.464211 | + | 0.885725i | ||||||||
14.2154 | + | 8.20729i | 1.15302 | + | 0.665699i | |||||
−4.32099 | + | 19.5337i | −0.349332 | + | 1.57921i | |||||
0 | 0 | |||||||||
2.05902 | + | 3.64111i | 0.165385 | + | 0.292461i | |||||
−3.49481 | + | 4.76865i | −0.279809 | + | 0.381797i | |||||
−1.59406 | − | 2.76100i | −0.127220 | − | 0.220352i | 0.795378 | − | 0.606113i | ||
−0.922599 | + | 0.385761i | ||||||||
−1.71565 | − | 2.97160i | −0.136490 | − | 0.236408i | |||||
−1.55488 | + | 2.12162i | −0.123310 | + | 0.168255i | |||||
−10.7918 | + | 6.10265i | −0.853163 | + | 0.482457i | |||||
0 | 0 | |||||||||
7.37152 | + | 3.42906i | 0.579161 | + | 0.269412i | |||||
−16.6965 | − | 9.63970i | −1.30777 | − | 0.755040i | −0.326044 | − | 0.945354i | ||
−0.981723 | + | 0.190314i | ||||||||
−5.40039 | − | 9.35375i | −0.421700 | − | 0.730405i | |||||
−9.41813 | + | 12.6129i | −0.733200 | + | 0.981915i | |||||
3.13263 | + | 1.80863i | 0.243139 | + | 0.140377i | |||||
0.883913i | 0.0683993i | 0.999415 | + | 0.0341996i | ||||||
−0.999415 | + | 0.0341996i | ||||||||
0 | 0 | |||||||||
−4.68842 | −0.360648 | |||||||||
13.4696 | + | 0.120413i | 1.03307 | + | 0.00923529i | |||||
16.3262 | − | 5.15598i | 1.24850 | − | 0.394288i | |||||
7.72462 | − | 4.45981i | 0.588996 | − | 0.340057i | |||||
10.8393 | + | 6.25807i | 0.824097 | + | 0.475793i | 0.851827 | − | 0.523823i | ||
−0.0277303 | + | 0.999615i | ||||||||
1.00235 | − | 9.17212i | 0.0759882 | − | 0.695337i | |||||
0 | 0 | |||||||||
− | 0.935758i | − | 0.0705354i | |||||||
−1.01551 | + | 1.38566i | −0.0763304 | + | 0.104152i | |||||
4.70231 | + | 8.14463i | 0.352453 | + | 0.610466i | |||||
−10.5358 | + | 6.08284i | −0.787481 | + | 0.454653i | −0.839075 | − | 0.544016i | ||
0.0515938 | + | 0.998668i | ||||||||
−1.78470 | + | 7.73926i | −0.133023 | + | 0.576851i | |||||
16.1773i | 1.20245i | 0.799081 | + | 0.601224i | ||||||
−0.799081 | + | 0.601224i | ||||||||
0 | 0 | |||||||||
1.16000 | − | 10.6146i | 0.0857493 | − | 0.784657i | |||||
2.34678 | − | 4.06474i | 0.173007 | − | 0.299657i | |||||
−1.81617 | + | 3.08175i | −0.133528 | + | 0.226575i | |||||
−2.67877 | + | 1.17943i | −0.196417 | + | 0.0864801i | |||||
13.5519 | − | 23.4726i | 0.991014 | − | 1.71649i | |||||
− | 8.18658i | − | 0.597068i | |||||||
0 | 0 | |||||||||
−5.67440 | − | 10.0344i | −0.411664 | − | 0.727975i | |||||
−7.16890 | − | 4.13896i | −0.518723 | − | 0.299485i | 0.217689 | − | 0.976018i | ||
−0.736412 | + | 0.676533i | ||||||||
−3.81705 | − | 8.66945i | −0.275472 | − | 0.625663i | |||||
13.7918 | − | 7.96267i | 0.992752 | − | 0.573166i | 0.0866562 | − | 0.996238i | ||
0.906096 | + | 0.423073i | ||||||||
−6.56593 | + | 11.3725i | −0.471406 | + | 0.816499i | |||||
10.2589 | − | 4.40781i | 0.734655 | − | 0.315650i | |||||
0 | 0 | |||||||||
23.8738 | 1.70094 | 0.850468 | − | 0.526027i | ||||||
0.850468 | + | 0.526027i | ||||||||
−8.12421 | − | 7.43752i | −0.577363 | − | 0.528562i | |||||
10.5891 | − | 6.11364i | 0.750643 | − | 0.433384i | −0.0752829 | − | 0.997162i | ||
0.825926 | + | 0.563778i | ||||||||
14.3788 | + | 0.257102i | 1.01673 | + | 0.0181799i | |||||
−14.0965 | − | 10.3310i | −0.994292 | − | 0.728690i | |||||
12.4637 | 0.876941 | |||||||||
0 | 0 | |||||||||
1.48565 | − | 13.5945i | 0.104016 | − | 0.951807i | |||||
−0.182347 | + | 20.3976i | −0.0127357 | + | 1.42463i | |||||
−3.75499 | − | 6.50384i | −0.261623 | − | 0.453144i | |||||
−1.47429 | − | 4.66830i | −0.102471 | − | 0.324469i | |||||
−0.331880 | + | 0.574834i | −0.0230118 | + | 0.0398576i | |||||
−23.1954 | −1.60446 | |||||||||
0 | 0 | |||||||||
18.8640 | 1.29865 | 0.649327 | − | 0.760510i | ||||||
0.649327 | + | 0.760510i | ||||||||
0.899025 | − | 1.55716i | 0.0617453 | − | 0.106946i | |||||
−7.62821 | + | 3.35861i | −0.522677 | + | 0.230128i | |||||
−4.84961 | − | 8.39976i | −0.331512 | − | 0.574196i | |||||
−16.8450 | − | 0.150588i | −1.14882 | − | 0.0102700i | |||||
−14.1554 | − | 4.79412i | −0.963156 | − | 0.326199i | |||||
0 | 0 | |||||||||
0.484799 | 0.0328348 | |||||||||
−0.573991 | + | 0.783207i | −0.0387867 | + | 0.0529242i | |||||
5.46322 | − | 9.27019i | 0.368330 | − | 0.624996i | |||||
−16.6498 | + | 9.61278i | −1.11999 | + | 0.646625i | |||||
−2.01886 | − | 1.47957i | −0.135497 | − | 0.0993021i | |||||
−19.2779 | −1.29095 | −0.645473 | − | 0.763783i | ||||||
−0.645473 | + | 0.763783i | ||||||||
0 | 0 | |||||||||
10.3249 | − | 10.8810i | 0.688326 | − | 0.725401i | |||||
−5.46649 | + | 9.46823i | −0.363625 | + | 0.629817i | |||||
−9.96079 | + | 5.75087i | −0.661121 | + | 0.381698i | −0.792704 | − | 0.609607i | ||
0.131583 | + | 0.991305i | ||||||||
−10.7112 | + | 4.71601i | −0.709367 | + | 0.312326i | |||||
15.0457 | + | 8.68661i | 0.994245 | + | 0.574028i | 0.906540 | − | 0.422119i | ||
0.0877044 | + | 0.996147i | ||||||||
−2.86923 | + | 1.62253i | −0.189192 | + | 0.106986i | |||||
0 | 0 | |||||||||
16.9612i | 1.11356i | |||||||||
0.231425 | − | 0.400840i | 0.0151611 | − | 0.0262599i | −0.858345 | − | 0.513072i | ||
0.873506 | + | 0.486813i | ||||||||
2.35285 | + | 7.45023i | 0.153811 | + | 0.487036i | |||||
−7.84999 | + | 13.3202i | −0.512077 | + | 0.868911i | |||||
0.587165 | − | 1.01700i | 0.0382212 | − | 0.0662011i | |||||
6.54021 | + | 0.714732i | 0.424833 | + | 0.0464268i | |||||
0 | 0 | |||||||||
− | 17.3055i | − | 1.11940i | −0.828696 | − | 0.559699i | ||||
0.828696 | − | 0.559699i | ||||||||
−0.104790 | + | 0.885515i | −0.00676416 | + | 0.0571597i | |||||
−3.70606 | + | 2.13970i | −0.238729 | + | 0.137830i | −0.614592 | − | 0.788845i | ||
0.375864 | + | 0.926675i | ||||||||
2.49282 | + | 4.31769i | 0.160245 | + | 0.277552i | |||||
−13.6581 | + | 7.51375i | −0.876167 | + | 0.482007i | |||||
7.29906i | 0.467274i | |||||||||
0 | 0 | |||||||||
−14.1888 | − | 1.55058i | −0.904642 | − | 0.0988617i | |||||
14.2489 | + | 8.22661i | 0.906636 | + | 0.523446i | |||||
4.65963 | − | 2.69024i | 0.295887 | − | 0.170830i | |||||
−6.34765 | + | 2.79479i | −0.402266 | + | 0.177113i | |||||
−8.60798 | − | 5.28254i | −0.544417 | − | 0.334097i | |||||
17.4145 | 1.09919 | 0.549597 | − | 0.835430i | ||||||
0.549597 | + | 0.835430i | ||||||||
0 | 0 | |||||||||
6.63247i | 0.416980i | |||||||||
−17.4364 | − | 10.0669i | −1.09406 | − | 0.631656i | |||||
−15.4528 | + | 20.6947i | −0.967694 | + | 1.29595i | |||||
8.24609 | + | 14.2826i | 0.515381 | + | 0.892665i | |||||
−13.3507 | − | 7.70805i | −0.832796 | − | 0.480815i | 0.0220130 | − | 0.999758i | ||
−0.854809 | + | 0.518943i | ||||||||
1.28052 | − | 11.7175i | 0.0797217 | − | 0.729500i | |||||
0 | 0 | |||||||||
−6.64385 | + | 3.75704i | −0.412034 | + | 0.233002i | |||||
13.0489 | + | 11.9460i | 0.807706 | + | 0.739436i | |||||
0.0515711 | + | 0.0893238i | 0.00318607 | + | 0.00551844i | |||||
−3.10585 | − | 5.37949i | −0.191515 | − | 0.331714i | 0.754238 | − | 0.656602i | ||
−0.945752 | + | 0.324888i | ||||||||
16.3314 | + | 11.9688i | 1.00513 | + | 0.736632i | |||||
−2.95591 | + | 1.67155i | −0.181580 | + | 0.102682i | |||||
0 | 0 | |||||||||
−17.9256 | − | 1.95895i | −1.09703 | − | 0.119886i | |||||
10.3461 | + | 5.97333i | 0.631990 | + | 0.364879i | |||||
2.99535 | + | 5.18810i | 0.182630 | + | 0.316324i | 0.942775 | − | 0.333429i | ||
−0.760146 | + | 0.649753i | ||||||||
6.85512 | + | 7.94797i | 0.417189 | + | 0.483698i | |||||
5.40846 | + | 3.12257i | 0.328540 | + | 0.189683i | 0.655193 | − | 0.755462i | ||
−0.326652 | + | 0.945145i | ||||||||
− | 1.53535i | − | 0.0930942i | |||||||
0 | 0 | |||||||||
−11.3313 | −0.684546 | |||||||||
−17.7781 | + | 9.84467i | −1.07206 | + | 0.593656i | |||||
1.34849 | + | 3.06274i | 0.0811695 | + | 0.184356i | |||||
7.53810 | − | 4.35212i | 0.452920 | − | 0.261494i | −0.256142 | − | 0.966639i | ||
0.709063 | + | 0.705145i | ||||||||
1.85909 | + | 1.07335i | 0.111501 | + | 0.0643751i | |||||
1.21212 | − | 5.47959i | 0.0725679 | − | 0.328054i | |||||
0 | 0 | |||||||||
− | 4.36274i | − | 0.260259i | −0.991497 | − | 0.130130i | ||||
0.991497 | − | 0.130130i | ||||||||
−8.72606 | − | 6.39509i | −0.519629 | − | 0.380822i | |||||
−3.76038 | − | 6.51316i | −0.223531 | − | 0.387167i | 0.732347 | − | 0.680932i | ||
−0.955878 | + | 0.293765i | ||||||||
4.93415 | − | 2.84873i | 0.292788 | − | 0.169041i | |||||
21.9500 | + | 2.59752i | 1.30021 | + | 0.153864i | |||||
− | 10.5849i | − | 0.625897i | |||||||
0 | 0 | |||||||||
16.2407 | + | 3.59256i | 0.956994 | + | 0.211694i | |||||
13.7354 | − | 23.7904i | 0.807963 | − | 1.39943i | |||||
6.04781 | − | 10.2621i | 0.355139 | − | 0.602614i | |||||
−10.1461 | − | 23.0441i | −0.594773 | − | 1.35087i | |||||
0.331880 | − | 0.574834i | 0.0194218 | − | 0.0336396i | |||||
− | 0.105885i | − | 0.00618587i | −0.999995 | − | 0.00309293i | ||||
0.999995 | − | 0.00309293i | ||||||||
0 | 0 | |||||||||
−1.93055 | + | 1.09171i | −0.112401 | + | 0.0635617i | |||||
3.98472 | + | 2.30058i | 0.231607 | + | 0.133718i | |||||
20.7104 | − | 4.13457i | 1.20174 | − | 0.239912i | |||||
−12.8835 | + | 7.43830i | −0.746322 | + | 0.430889i | |||||
2.35230 | − | 4.07431i | 0.136037 | − | 0.235623i | |||||
−6.20800 | + | 8.16066i | −0.358419 | + | 0.471156i | |||||
0 | 0 | |||||||||
−11.8764 | −0.683412 | |||||||||
−14.1265 | + | 19.2754i | −0.811544 | + | 1.10735i | |||||
−1.13791 | + | 0.656975i | −0.0652638 | + | 0.0376801i | |||||
6.99896 | − | 11.8761i | 0.400759 | − | 0.680023i | |||||
−13.3298 | − | 12.2031i | −0.762016 | − | 0.697608i | |||||
9.31270 | 0.531504 | 0.265752 | − | 0.964041i | ||||||
0.265752 | + | 0.964041i | ||||||||
0 | 0 | |||||||||
14.3143 | + | 1.56431i | 0.814314 | + | 0.0889904i | |||||
−3.77849 | − | 0.0337783i | −0.214604 | − | 0.00191848i | |||||
12.6572 | + | 21.9228i | 0.717722 | + | 1.24313i | 0.961900 | + | 0.273400i | ||
−0.244179 | + | 0.969730i | ||||||||
−5.78741 | − | 13.1446i | −0.327648 | − | 0.744167i | |||||
−3.82491 | + | 6.62494i | −0.216197 | + | 0.374464i | −0.953642 | − | 0.300943i | ||
0.737445 | + | 0.675407i | ||||||||
2.87996 | 0.162526 | |||||||||
0 | 0 | |||||||||
−4.49732 | −0.252994 | |||||||||
12.3732 | − | 21.4311i | 0.694950 | − | 1.20369i | −0.275247 | − | 0.961374i | ||
0.970197 | − | 0.242316i | ||||||||
−0.957481 | − | 2.17467i | −0.0536929 | − | 0.121949i | |||||
−11.9840 | − | 20.7568i | −0.670973 | − | 1.16216i | |||||
0.109318 | − | 12.2285i | 0.00611109 | − | 0.683595i | |||||
18.4871 | + | 2.02032i | 1.03185 | + | 0.112763i | |||||
0 | 0 | |||||||||
−38.0580 | −2.11760 | |||||||||
8.72305 | − | 6.12004i | 0.484614 | − | 0.340002i | |||||
14.4126 | + | 0.257707i | 0.799467 | + | 0.0142950i | |||||
15.0826 | − | 8.70792i | 0.835346 | − | 0.482287i | |||||
−0.549477 | + | 0.749757i | −0.0303861 | + | 0.0414617i | |||||
26.2381 | 1.44875 | |||||||||
0 | 0 | |||||||||
−5.61339 | − | 13.0648i | −0.309007 | − | 0.719194i | |||||
8.17810 | − | 14.1649i | 0.449509 | − | 0.778573i | −0.548845 | − | 0.835924i | ||
0.998354 | + | 0.0573514i | ||||||||
4.10585 | − | 2.37051i | 0.225338 | − | 0.130099i | |||||
4.57639 | − | 1.44527i | 0.250785 | − | 0.0792003i | |||||
−0.691498 | − | 0.399237i | −0.0378371 | − | 0.0218453i | |||||
−11.1061 | − | 19.6398i | −0.606793 | − | 1.07304i | |||||
0 | 0 | |||||||||
3.59256i | 0.195699i | 0.995201 | + | 0.0978497i | ||||||
−0.995201 | + | 0.0978497i | ||||||||
2.11762 | − | 3.66782i | 0.115183 | − | 0.199503i | |||||
−8.44714 | − | 19.1855i | −0.458786 | − | 1.04201i | |||||
8.96380 | − | 15.2101i | 0.486130 | − | 0.824884i | |||||
−3.80158 | + | 6.58453i | −0.205867 | + | 0.356572i | |||||
−3.34046 | + | 15.1010i | −0.180631 | + | 0.816571i | |||||
0 | 0 | |||||||||
21.6682i | 1.16827i | |||||||||
0.742730 | − | 6.27635i | 0.0399872 | − | 0.337907i | |||||
−9.79156 | + | 5.65316i | −0.526398 | + | 0.303916i | |||||
−9.46440 | − | 16.3928i | −0.508075 | − | 0.880012i | −0.999956 | − | 0.00934990i | ||
0.491881 | − | 0.870662i | ||||||||
−9.75416 | − | 7.14856i | −0.522878 | − | 0.383203i | |||||
− | 24.1751i | − | 1.29406i | −0.762463 | − | 0.647032i | ||||
0.762463 | − | 0.647032i | ||||||||
0 | 0 | |||||||||
−14.1888 | − | 4.80540i | −0.757340 | − | 0.256493i | |||||
−19.5156 | − | 11.2673i | −1.04019 | − | 0.600551i | |||||
27.8032 | − | 16.0522i | 1.47982 | − | 0.854373i | 0.480078 | − | 0.877226i | ||
0.999739 | + | 0.0228526i | ||||||||
−0.625343 | − | 1.42031i | −0.0332366 | − | 0.0754884i | |||||
−10.7598 | − | 0.0961889i | −0.571072 | − | 0.00510518i | |||||
12.3263 | 0.653295 | |||||||||
0 | 0 | |||||||||
− | 10.9897i | − | 0.580825i | |||||||
−14.7805 | − | 8.53352i | −0.780085 | − | 0.450382i | 0.0563756 | − | 0.998410i | ||
−0.836460 | + | 0.548027i | ||||||||
−14.1142 | − | 13.1551i | −0.743884 | − | 0.693333i | |||||
6.78500 | + | 11.7520i | 0.357105 | + | 0.618524i | |||||
−12.6557 | − | 7.30678i | −0.665169 | − | 0.384036i | |||||
−9.50284 | − | 1.03850i | −0.498770 | − | 0.0545069i | |||||
0 | 0 | |||||||||
−1.09119 | + | 0.617061i | −0.0571157 | + | 0.0322984i | |||||
7.78005 | + | 5.70179i | 0.406670 | + | 0.298037i | |||||
−7.83753 | − | 13.5750i | −0.409116 | − | 0.708609i | 0.585675 | − | 0.810546i | ||
−0.994791 | + | 0.101937i | ||||||||
0.187854 | + | 0.325373i | 0.00979259 | + | 0.0169613i | |||||
18.4797 | − | 20.1859i | 0.962015 | − | 1.05084i | |||||
−1.59059 | − | 2.81275i | −0.0826907 | − | 0.146228i | |||||
0 | 0 | |||||||||
−0.416753 | + | 3.81353i | −0.0216076 | + | 0.197722i | |||||
0.908235 | + | 0.524370i | 0.0470266 | + | 0.0271508i | 0.523329 | − | 0.852131i | ||
−0.476302 | + | 0.879282i | ||||||||
12.2420 | + | 21.2037i | 0.633017 | + | 1.09642i | |||||
17.9260 | − | 7.32522i | 0.925694 | − | 0.378273i | |||||
17.2230 | + | 9.94373i | 0.888211 | + | 0.512809i | |||||
17.0012i | 0.875604i | |||||||||
0 | 0 | |||||||||
−19.7185 | −1.01287 | −0.506436 | − | 0.862278i | ||||||
−0.506436 | + | 0.862278i | ||||||||
−15.1085 | − | 0.135064i | −0.775048 | − | 0.00692865i | |||||
35.3315 | − | 15.5560i | 1.81009 | − | 0.796959i | |||||
6.47594 | − | 3.73889i | 0.331338 | − | 0.191298i | |||||
−2.38931 | − | 1.37947i | −0.122088 | − | 0.0704876i | 0.437712 | − | 0.899115i | ||
−0.559800 | + | 0.828628i | ||||||||
−10.5866 | − | 1.15693i | −0.540244 | − | 0.0590392i | |||||
0 | 0 | |||||||||
14.3860i | 0.732227i | |||||||||
16.6701 | + | 15.2611i | 0.847391 | + | 0.775766i | |||||
8.60577 | + | 14.9056i | 0.436892 | + | 0.756719i | |||||
27.6283 | − | 15.9512i | 1.40081 | − | 0.808758i | 0.406335 | − | 0.913724i | ||
0.994476 | + | 0.104966i | ||||||||
−1.18534 | + | 10.0166i | −0.0600219 | + | 0.507208i | |||||
10.8822i | 0.550339i | |||||||||
0 | 0 | |||||||||
−0.196593 | − | 0.0214842i | −0.00991682 | − | 0.00108374i | |||||
−10.7831 | + | 18.6768i | −0.543242 | + | 0.940923i | |||||
7.31746 | + | 4.31241i | 0.368181 | + | 0.216981i | |||||
−13.7662 | + | 4.34751i | −0.691779 | + | 0.218471i | |||||
−9.41023 | + | 16.2990i | −0.472286 | + | 0.818023i | −0.999497 | − | 0.0317111i | ||
0.527211 | + | 0.849734i | ||||||||
11.0454i | 0.553654i | |||||||||
0 | 0 | |||||||||
−0.593317 | + | 0.986494i | −0.0296658 | + | 0.0493247i | |||||
−2.84850 | − | 1.64458i | −0.142247 | − | 0.0821266i | 0.427187 | − | 0.904163i | ||
−0.569435 | + | 0.822037i | ||||||||
14.4490 | − | 6.36173i | 0.720652 | − | 0.317294i | |||||
4.67060 | − | 2.69657i | 0.232659 | − | 0.134326i | |||||
8.16788 | − | 14.1472i | 0.406367 | − | 0.703849i | |||||
−20.0614 | + | 1.59334i | −0.996861 | + | 0.0791737i | |||||
0 | 0 | |||||||||
−6.50190 | −0.322287 | |||||||||
26.7958 | + | 19.6379i | 1.32659 | + | 0.972223i | |||||
−3.59326 | + | 2.07457i | −0.177675 | + | 0.102581i | −0.586200 | − | 0.810166i | ||
0.408525 | + | 0.912747i | ||||||||
−15.8750 | − | 9.35561i | −0.784008 | − | 0.462041i | |||||
12.8430 | − | 17.5241i | 0.633497 | − | 0.864402i | |||||
−9.84311 | −0.484935 | |||||||||
0 | 0 | |||||||||
4.31797 | + | 0.955165i | 0.212217 | + | 0.0469438i | |||||
−8.95356 | − | 0.0800415i | −0.439513 | − | 0.00392908i | |||||
7.99226 | + | 13.8430i | 0.391853 | + | 0.678709i | |||||
−3.76708 | + | 1.65860i | −0.184475 | + | 0.0812220i | |||||
10.4767 | − | 18.1461i | 0.512430 | − | 0.887555i | |||||
22.6231 | 1.10521 | 0.552606 | − | 0.833443i | ||||||
0.552606 | + | 0.833443i | ||||||||
0 | 0 | |||||||||
31.9233 | 1.55584 | 0.777922 | − | 0.628360i | ||||||
0.777922 | + | 0.628360i | ||||||||
−8.52030 | + | 14.7576i | −0.414762 | + | 0.718389i | |||||
19.7804 | − | 6.24685i | 0.961757 | − | 0.303732i | |||||
2.18398 | + | 3.78276i | 0.106063 | + | 0.183707i | |||||
−29.1695 | + | 16.1527i | −1.41493 | + | 0.783521i | |||||
0.817941 | − | 7.48464i | 0.0396294 | − | 0.362632i | |||||
0 | 0 | |||||||||
−12.7125 | −0.614481 | |||||||||
16.3698 | + | 11.9970i | 0.790343 | + | 0.579221i | |||||
7.72615 | − | 13.1100i | 0.372588 | − | 0.632222i | |||||
−21.6894 | + | 12.5224i | −1.04474 | + | 0.603182i | −0.921173 | − | 0.389154i | ||
−0.123569 | + | 0.992336i | ||||||||
0.898900 | − | 0.789423i | 0.0432483 | − | 0.0379812i | |||||
−5.10220 | −0.245196 | −0.122598 | − | 0.992456i | ||||||
−0.122598 | + | 0.992456i | ||||||||
0 | 0 | |||||||||
9.01607 | + | 20.9843i | 0.432288 | + | 1.00612i | |||||
0.317706 | − | 0.550283i | 0.0152154 | − | 0.0263538i | |||||
8.06531 | − | 4.65651i | 0.385816 | − | 0.222751i | |||||
−0.353460 | − | 0.802792i | −0.0168890 | − | 0.0383589i | |||||
−9.77568 | − | 5.64399i | −0.466568 | − | 0.269373i | 0.248234 | − | 0.968700i | ||
−0.714802 | + | 0.699327i | ||||||||
12.8669 | + | 22.7535i | 0.613407 | + | 1.08473i | |||||
0 | 0 | |||||||||
− | 17.3672i | − | 0.826073i | |||||||
10.9591 | − | 18.9817i | 0.520681 | − | 0.901847i | −0.479029 | − | 0.877799i | ||
0.999711 | − | 0.0240479i | ||||||||
−3.00245 | + | 1.32194i | −0.142490 | + | 0.0627366i | |||||
−20.0559 | − | 11.8196i | −0.950739 | − | 0.560301i | |||||
8.70725 | − | 15.0814i | 0.412300 | − | 0.714125i | |||||
3.09875 | − | 28.3554i | 0.146566 | − | 1.34116i | |||||
0 | 0 | |||||||||
− | 0.449397i | − | 0.0212083i | −0.999944 | − | 0.0106042i | ||||
0.999944 | − | 0.0106042i | ||||||||
3.84894 | + | 12.9919i | 0.181441 | + | 0.612446i | |||||
−32.1096 | + | 18.5385i | −1.51198 | + | 0.872944i | |||||
7.16476 | + | 12.4097i | 0.337002 | + | 0.583705i | |||||
13.4609 | − | 18.3673i | 0.632448 | − | 0.862970i | |||||
− | 10.3900i | − | 0.487625i | |||||||
0 | 0 | |||||||||
3.08861 | − | 28.2626i | 0.144638 | − | 1.32352i | |||||
−8.04787 | − | 4.64644i | −0.376463 | − | 0.217351i | 0.299815 | − | 0.953997i | ||
−0.676278 | + | 0.736646i | ||||||||
−13.5913 | + | 7.84695i | −0.635081 | + | 0.366664i | |||||
33.9807 | − | 6.78382i | 1.58608 | − | 0.316641i | |||||
−0.0386201 | + | 4.32009i | −0.00180067 | + | 0.201425i | |||||
−20.8668 | −0.971863 | −0.485931 | − | 0.873997i | ||||||
−0.485931 | + | 0.873997i | ||||||||
0 | 0 | |||||||||
− | 2.45294i | − | 0.113998i | −0.998374 | − | 0.0569989i | ||||
0.998374 | − | 0.0569989i | ||||||||
−1.17581 | − | 0.678854i | −0.0545856 | − | 0.0315150i | |||||
4.33482 | − | 5.80527i | 0.201023 | − | 0.269213i | |||||
0.209055 | + | 0.362094i | 0.00968429 | + | 0.0167737i | |||||
6.91084 | + | 3.98997i | 0.319795 | + | 0.184634i | 0.651301 | − | 0.758819i | ||
−0.331506 | + | 0.943453i | ||||||||
9.99847 | + | 2.21173i | 0.462179 | + | 0.102237i | |||||
0 | 0 | |||||||||
−6.87495 | − | 12.1575i | −0.317118 | − | 0.560782i | |||||
−3.26418 | + | 4.45395i | −0.150405 | + | 0.205227i | |||||
1.42639 | + | 2.47057i | 0.0656547 | + | 0.113717i | |||||
−15.3097 | − | 26.5171i | −0.703939 | − | 1.21926i | |||||
−3.51316 | + | 4.79368i | −0.161365 | + | 0.220181i | |||||
24.4531 | + | 14.7071i | 1.12198 | + | 0.674806i | |||||
0 | 0 | |||||||||
4.44841 | + | 0.984021i | 0.203679 | + | 0.0450552i | |||||
13.5383 | + | 7.81635i | 0.619228 | + | 0.357511i | |||||
−6.94646 | − | 12.0316i | −0.317392 | − | 0.549739i | 0.662551 | − | 0.749017i | ||
−0.979943 | + | 0.199278i | ||||||||
17.2060 | + | 12.8478i | 0.785343 | + | 0.586420i | |||||
3.99410 | + | 2.30599i | 0.182115 | + | 0.105144i | |||||
− | 3.86574i | − | 0.176080i | |||||||
0 | 0 | |||||||||
6.53454 | 0.297024 | |||||||||
0.290578 | − | 32.5045i | 0.0131945 | − | 1.47595i | |||||
0.290831 | − | 14.0787i | 0.0131924 | − | 0.638621i | |||||
−22.9590 | + | 13.2554i | −1.04037 | + | 0.600659i | −0.919939 | − | 0.392062i | ||
−0.120433 | + | 0.992721i | ||||||||
−15.3559 | − | 8.86571i | −0.695127 | − | 0.401332i | |||||
−3.62767 | + | 33.1953i | −0.164049 | + | 1.50114i | |||||
0 | 0 | |||||||||
2.54611i | 0.114905i | 0.998348 | + | 0.0574523i | ||||||
−0.998348 | + | 0.0574523i | ||||||||
−11.0584 | + | 15.0891i | −0.498552 | + | 0.680271i | |||||
−19.6627 | − | 34.0568i | −0.885565 | − | 1.53384i | |||||
−12.8716 | + | 7.43141i | −0.579120 | + | 0.334355i | |||||
26.5674 | + | 6.12651i | 1.19412 | + | 0.275366i | |||||
0.430695i | 0.0193388i | |||||||||
0 | 0 | |||||||||
0.680632 | − | 6.22818i | 0.0304999 | − | 0.279091i | |||||
−14.8248 | + | 25.6773i | −0.663649 | + | 1.14947i | 0.316001 | + | 0.948759i | ||
−0.979650 | + | 0.200714i | ||||||||
−11.6372 | + | 6.30886i | −0.520431 | + | 0.282141i | |||||
1.40118 | − | 0.616924i | 0.0626002 | − | 0.0275621i | |||||
−7.86560 | + | 13.6236i | −0.351059 | + | 0.608052i | |||||
− | 31.2378i | − | 1.39283i | −0.717642 | − | 0.696413i | ||||
0.717642 | − | 0.696413i | ||||||||
0 | 0 | |||||||||
−26.8553 | + | 15.1864i | −1.19504 | + | 0.675787i | |||||
−5.18867 | − | 2.99568i | −0.230665 | − | 0.133174i | |||||
3.27226 | + | 7.43210i | 0.145326 | + | 0.330071i | |||||
−22.8534 | + | 13.1944i | −1.01396 | + | 0.585408i | |||||
−19.0072 | + | 32.9214i | −0.842478 | + | 1.45921i | 0.0453160 | + | 0.998973i | ||
−0.887794 | + | 0.460242i | ||||||||
−9.21019 | − | 21.4361i | −0.407834 | − | 0.949208i | |||||
0 | 0 | |||||||||
−2.60093 | −0.114946 | |||||||||
−19.5681 | − | 22.2818i | −0.863953 | − | 0.983766i | |||||
12.0602 | − | 6.96298i | 0.531954 | − | 0.307124i | |||||
16.0155 | + | 9.43841i | 0.705725 | + | 0.415906i | |||||
−12.4611 | − | 9.13238i | −0.548568 | − | 0.402031i | |||||
−28.1030 | −1.23597 | |||||||||
0 | 0 | |||||||||
2.35507 | − | 21.5503i | 0.103376 | − | 0.945953i | |||||
0.165749 | − | 18.5409i | 0.00726856 | − | 0.813071i | |||||
19.5707 | + | 33.8974i | 0.857407 | + | 1.48507i | 0.874394 | + | 0.485217i | ||
−0.0169866 | + | 0.999856i | ||||||||
−15.2393 | + | 4.81271i | −0.667005 | + | 0.210647i | |||||
−3.98588 | + | 6.90375i | −0.174290 | + | 0.301880i | −0.939915 | − | 0.341407i | ||
0.765625 | + | 0.643287i | ||||||||
0.135186 | 0.00590561 | |||||||||
0 | 0 | |||||||||
5.61127 | 0.244663 | |||||||||
−6.23745 | + | 10.8036i | −0.271708 | + | 0.470612i | |||||
−1.48337 | + | 0.653109i | −0.0645553 | + | 0.0284229i | |||||
10.1685 | + | 17.6124i | 0.442110 | + | 0.765757i | |||||
0.0274218 | − | 3.06744i | 0.00119113 | − | 0.133241i | |||||
2.90532 | + | 0.642677i | 0.126080 | + | 0.0278898i | |||||
0 | 0 | |||||||||
26.2998 | 1.13917 | |||||||||
9.62895 | − | 13.1386i | 0.416685 | − | 0.568564i | |||||
20.6841 | + | 12.1898i | 0.894252 | + | 0.527011i | |||||
−25.1336 | + | 14.5109i | −1.08560 | + | 0.626774i | |||||
16.9959 | + | 12.4559i | 0.733429 | + | 0.537510i | |||||
−5.41163 | −0.233312 | |||||||||
0 | 0 | |||||||||
13.5139 | − | 2.57248i | 0.581547 | − | 0.110702i | |||||
4.04174 | − | 7.00049i | 0.173768 | − | 0.300975i | −0.765966 | − | 0.642881i | ||
0.939734 | + | 0.341906i | ||||||||
−4.88567 | + | 2.82074i | −0.209857 | + | 0.121161i | |||||
25.6443 | − | 11.2909i | 1.10050 | − | 0.484537i | |||||
−32.0203 | − | 18.4869i | −1.37286 | − | 0.792621i | |||||
−1.04459 | + | 0.590707i | −0.0447453 | + | 0.0253031i | |||||
0 | 0 | |||||||||
− | 37.0430i | − | 1.58384i | −0.610623 | − | 0.791922i | ||||
0.610623 | − | 0.791922i | ||||||||
−7.42577 | + | 12.8618i | −0.317213 | + | 0.549429i | |||||
−17.6360 | + | 5.56962i | −0.752685 | + | 0.237705i | |||||
0.328193 | − | 18.3546i | 0.0139942 | − | 0.782642i | |||||
−16.8273 | + | 29.1458i | −0.716869 | + | 1.24165i | |||||
−8.08137 | − | 0.883153i | −0.343966 | − | 0.0375895i | |||||
0 | 0 | |||||||||
7.86288i | 0.334062i | |||||||||
6.15279 | + | 0.728108i | 0.261171 | + | 0.0309065i | |||||
2.43666 | − | 1.40680i | 0.103337 | − | 0.0596618i | |||||
−4.44428 | − | 7.69772i | −0.188310 | − | 0.326163i | 0.756377 | − | 0.654136i | ||
−0.944687 | + | 0.327973i | ||||||||
3.73928 | + | 3.42322i | 0.158296 | + | 0.144917i | |||||
21.7192i | 0.918624i | |||||||||
0 | 0 | |||||||||
−46.6674 | − | 5.09993i | −1.97030 | − | 0.215319i | |||||
3.41303 | + | 1.97051i | 0.143970 | + | 0.0831211i | |||||
−34.1282 | + | 19.7039i | −1.43833 | + | 0.830421i | −0.997734 | − | 0.0672831i | ||
−0.440598 | + | 0.897704i | ||||||||
−12.9774 | + | 5.71379i | −0.546447 | + | 0.240594i | |||||
0.241922 | − | 27.0617i | 0.0101777 | − | 1.13849i | |||||
6.79378 | 0.285564 | |||||||||
0 | 0 | |||||||||
13.8407i | 0.580744i | |||||||||
−15.1146 | − | 8.72640i | −0.633636 | − | 0.365830i | 0.148523 | − | 0.988909i | ||
−0.782159 | + | 0.623079i | ||||||||
−11.9462 | + | 15.9986i | −0.500372 | + | 0.670107i | |||||
9.69444 | + | 16.7913i | 0.405700 | + | 0.702692i | 0.994403 | − | 0.105657i | ||
−0.588703 | + | 0.808349i | ||||||||
−12.0146 | − | 6.93665i | −0.502357 | − | 0.290036i | |||||
−1.55760 | + | 14.2529i | −0.0650696 | + | 0.595425i | |||||
0 | 0 | |||||||||
4.20531 | − | 6.99207i | 0.175374 | − | 0.291590i | |||||
−11.0787 | + | 12.1016i | −0.461614 | + | 0.504234i | |||||
20.8653 | + | 36.1397i | 0.868633 | + | 1.50452i | 0.863394 | + | 0.504531i | ||
0.00523985 | + | 0.999986i | ||||||||
12.4077 | + | 21.4907i | 0.516092 | + | 0.893897i | |||||
−22.2484 | − | 16.3052i | −0.924610 | − | 0.677622i | |||||
−7.68495 | − | 13.5899i | −0.319100 | − | 0.564288i | |||||
0 | 0 | |||||||||
22.6104 | + | 2.47093i | 0.937232 | + | 0.102423i | |||||
−5.34542 | − | 3.08618i | −0.221385 | − | 0.127817i | |||||
0.806229 | + | 1.39643i | 0.0333620 | + | 0.0577847i | |||||
−14.1474 | − | 13.1860i | −0.584924 | − | 0.545175i | |||||
0.0828353 | + | 0.0478250i | 0.00342190 | + | 0.00197563i | |||||
− | 19.5477i | − | 0.806820i | −0.915019 | − | 0.403410i | ||||
0.915019 | − | 0.403410i | ||||||||
0 | 0 | |||||||||
10.6760 | 0.439897 | |||||||||
0.0179095 | − | 2.00338i | 0.000737323 | − | 0.0824780i | |||||
−16.6626 | − | 37.8448i | −0.685408 | − | 1.55673i | |||||
−0.318968 | + | 0.184156i | −0.0131095 | + | 0.00756877i | |||||
−2.27890 | − | 1.31572i | −0.0935832 | − | 0.0540303i | 0.452478 | − | 0.891776i | ||
−0.546061 | + | 0.837745i | ||||||||
−6.11973 | + | 18.0695i | −0.251096 | + | 0.741401i | |||||
0 | 0 | |||||||||
19.4983i | 0.798683i | |||||||||
−17.0820 | − | 12.5189i | −0.699120 | − | 0.512366i | |||||
2.12493 | + | 3.68048i | 0.0868947 | + | 0.150506i | |||||
−27.0326 | + | 15.6073i | −1.10452 | + | 0.637697i | −0.937405 | − | 0.348240i | ||
−0.167118 | + | 0.985937i | ||||||||
−9.62804 | − | 22.9727i | −0.393063 | − | 0.937857i | |||||
− | 15.6798i | − | 0.639593i | −0.947486 | − | 0.319797i | ||||
0.947486 | − | 0.319797i | ||||||||
0 | 0 | |||||||||
−6.53806 | + | 29.5563i | −0.266251 | + | 1.20363i | |||||
−7.78305 | + | 13.4806i | −0.316688 | + | 0.548519i | |||||
−10.6322 | − | 6.26587i | −0.432259 | − | 0.254744i | |||||
−8.69897 | − | 19.7575i | −0.353371 | − | 0.802592i | |||||
−2.40692 | + | 4.16891i | −0.0976940 | + | 0.169211i | −0.910730 | − | 0.413003i | ||
0.813036 | + | 0.582214i | ||||||||
31.6422i | 1.28326i | |||||||||
0 | 0 | |||||||||
6.12962 | + | 10.8394i | 0.248181 | + | 0.438876i | |||||
17.2636 | + | 9.96713i | 0.698410 | + | 0.403227i | |||||
−22.5870 | + | 7.13319i | −0.913025 | + | 0.288342i | |||||
34.7031 | − | 20.0359i | 1.40165 | − | 0.809240i | 0.407084 | − | 0.913391i | ||
0.994562 | + | 0.104150i | ||||||||
−4.20626 | + | 7.28546i | −0.169751 | + | 0.294017i | |||||
32.4616 | − | 13.9474i | 1.30898 | − | 0.562412i | |||||
0 | 0 | |||||||||
−18.4205 | −0.741583 | −0.370791 | − | 0.928716i | ||||||
−0.370791 | + | 0.928716i | ||||||||
−7.68912 | + | 10.4918i | −0.309302 | + | 0.422040i | |||||
9.54440 | − | 5.51046i | 0.383622 | − | 0.221484i | −0.295771 | − | 0.955259i | ||
0.679393 | + | 0.733775i | ||||||||
−2.51452 | + | 4.26673i | −0.100986 | + | 0.171356i | |||||
−6.37123 | + | 5.59528i | −0.255668 | + | 0.224531i | |||||
−22.8674 | −0.916899 | |||||||||
0 | 0 | |||||||||
1.14286 | + | 0.124895i | 0.0457512 | + | 0.00499981i | |||||
24.9840 | + | 0.893749i | 0.999361 | + | 0.0357500i | |||||
−3.45519 | − | 5.98457i | −0.138097 | − | 0.239191i | |||||
16.1892 | + | 36.7695i | 0.646533 | + | 1.46843i | |||||
1.88734 | − | 3.26897i | 0.0753131 | − | 0.130446i | |||||
−10.6680 | −0.425362 | |||||||||
0 | 0 | |||||||||
16.0604 | 0.639355 | 0.319678 | − | 0.947526i | ||||||
0.319678 | + | 0.947526i | ||||||||
5.46261 | − | 9.46152i | 0.217291 | − | 0.376359i | |||||
−13.1661 | − | 29.9033i | −0.523305 | − | 1.18855i | |||||
11.1772 | + | 19.3595i | 0.443904 | + | 0.768865i | |||||
49.8361 | + | 0.445517i | 1.97769 | + | 0.0176798i | |||||
−3.09588 | − | 0.338326i | −0.122760 | − | 0.0134155i | |||||
0 | 0 | |||||||||
21.6511 | 0.857177 | |||||||||
10.6482 | + | 9.74814i | 0.421235 | + | 0.385631i | |||||
−11.8447 | − | 6.98045i | −0.468202 | − | 0.275926i | |||||
34.4615 | − | 19.8964i | 1.36115 | − | 0.785859i | 0.371372 | − | 0.928484i | ||
0.989777 | + | 0.142625i | ||||||||
−9.93057 | + | 13.5502i | −0.391929 | + | 0.534784i | |||||
−22.4164 | −0.884016 | −0.442008 | − | 0.897011i | ||||||
−0.442008 | + | 0.897011i | ||||||||
0 | 0 | |||||||||
11.5182 | + | 26.8078i | 0.453527 | + | 1.05556i | |||||
17.1896 | − | 29.7733i | 0.676317 | − | 1.17142i | |||||
−22.1456 | + | 12.7858i | −0.870633 | + | 0.502660i | −0.867558 | − | 0.497335i | ||
−0.00307433 | + | 0.999995i | ||||||||
2.28008 | + | 25.7853i | 0.0895698 | + | 1.01294i | |||||
−3.49116 | − | 2.01563i | −0.137040 | − | 0.0791202i | |||||
−6.71134 | + | 11.1588i | −0.263240 | + | 0.437684i | |||||
0 | 0 | |||||||||
− | 22.8264i | − | 0.893952i | |||||||
8.49921 | − | 14.7211i | 0.332600 | − | 0.576080i | −0.650421 | − | 0.759574i | ||
0.983021 | + | 0.183494i | ||||||||
−0.338364 | − | 0.768506i | −0.0132311 | − | 0.0300510i | |||||
−0.219957 | − | 0.129627i | −0.00859442 | − | 0.00506496i | |||||
−1.05015 | + | 1.81891i | −0.0410014 | + | 0.0710166i | |||||
1.64216 | + | 0.363257i | 0.0640667 | + | 0.0141720i | |||||
0 | 0 | |||||||||
− | 2.82840i | − | 0.110179i | −0.998481 | − | 0.0550894i | ||||
0.998481 | − | 0.0550894i | ||||||||
−18.5082 | − | 2.19022i | −0.720430 | − | 0.0852541i | |||||
−12.6301 | + | 7.29200i | −0.491254 | + | 0.283626i | −0.725095 | − | 0.688649i | ||
0.233840 | + | 0.972275i | ||||||||
7.38760 | + | 12.7957i | 0.287127 | + | 0.497319i | |||||
26.8589 | + | 19.6842i | 1.04311 | + | 0.764469i | |||||
11.5172i | 0.446956i | |||||||||
0 | 0 | |||||||||
−0.936361 | + | 4.23296i | −0.0362833 | + | 0.164024i | |||||
8.33391 | + | 4.81158i | 0.322690 | + | 0.186305i | |||||
−0.906326 | + | 0.523268i | −0.0350668 | + | 0.0202458i | |||||
13.4550 | + | 30.5595i | 0.520199 | + | 1.18150i | |||||
20.3808 | + | 0.182197i | 0.787378 | + | 0.00703887i | |||||
25.0563 | 0.967286 | |||||||||
0 | 0 | |||||||||
− | 13.2666i | − | 0.511390i | −0.966757 | − | 0.255695i | ||||
0.966757 | − | 0.255695i | ||||||||
−2.81051 | − | 1.62265i | −0.108257 | − | 0.0625022i | |||||
−24.4549 | − | 8.77269i | −0.941268 | − | 0.337661i | |||||
−2.77550 | − | 4.80730i | −0.106750 | − | 0.184896i | |||||
23.6762 | + | 13.6695i | 0.909950 | + | 0.525360i | 0.880415 | − | 0.474204i | ||
0.0295351 | + | 0.999564i | ||||||||
18.8244 | + | 2.05718i | 0.722946 | + | 0.0790055i | |||||
0 | 0 | |||||||||
21.1115 | + | 37.3329i | 0.809588 | + | 1.43165i | |||||
16.0684 | + | 11.7761i | 0.615742 | + | 0.451261i | |||||
−3.43411 | − | 5.94806i | −0.131499 | − | 0.227763i | |||||
−2.53669 | − | 4.39367i | −0.0970637 | − | 0.168119i | 0.813404 | − | 0.581699i | ||
−0.910468 | + | 0.413579i | ||||||||
14.9517 | + | 13.6879i | 0.571692 | + | 0.523370i | |||||
24.4153 | − | 13.8066i | 0.932859 | − | 0.527524i | |||||
0 | 0 | |||||||||
3.26900 | − | 29.9132i | 0.124720 | − | 1.14126i | |||||
−1.50211 | − | 0.867245i | −0.0572675 | − | 0.0330634i | |||||
2.18912 | + | 3.79167i | 0.0833988 | + | 0.144451i | |||||
4.57461 | + | 3.41588i | 0.174152 | + | 0.130040i | |||||
29.6673 | + | 17.1284i | 1.12860 | + | 0.651596i | 0.943582 | − | 0.331140i | ||
0.185016 | + | 0.982736i | ||||||||
14.8189i | 0.563329i | |||||||||
0 | 0 | |||||||||
17.0991 | 0.649073 | |||||||||
−5.31358 | − | 0.0475014i | −0.201556 | − | 0.00180183i | |||||
26.8870 | − | 11.8380i | 1.01915 | − | 0.448719i | |||||
−52.6840 | + | 30.4171i | −1.99555 | + | 1.15213i | |||||
18.9125 | + | 10.9192i | 0.715850 | + | 0.413296i | |||||
−0.796935 | − | 0.0870911i | −0.0301428 | − | 0.00329409i | |||||
0 | 0 | |||||||||
17.6912i | 0.668188i | 0.942540 | + | 0.334094i | ||||||
−0.942540 | + | 0.334094i | ||||||||
10.1680 | − | 8.92961i | 0.383765 | − | 0.337026i | |||||
4.56484 | + | 7.90653i | 0.172166 | + | 0.298200i | |||||
19.2500 | − | 11.1140i | 0.725511 | − | 0.418874i | |||||
26.5940 | + | 3.14708i | 1.00159 | + | 0.118526i | |||||
29.0012i | 1.09147i | |||||||||
0 | 0 | |||||||||
−2.02196 | − | 0.220965i | −0.0759900 | − | 0.00830439i | |||||
−7.80875 | + | 13.5251i | −0.293264 | + | 0.507948i | −0.974579 | − | 0.224042i | ||
0.681316 | + | 0.731990i | ||||||||
4.93513 | − | 8.37412i | 0.185212 | − | 0.314275i | |||||
−3.43172 | − | 10.8664i | −0.128700 | − | 0.407522i | |||||
−14.9720 | + | 25.9323i | −0.561101 | + | 0.971856i | |||||
− | 3.05268i | − | 0.114324i | |||||||
0 | 0 | |||||||||
12.8972 | + | 22.8071i | 0.482328 | + | 0.852936i | |||||
−12.4741 | − | 7.20195i | −0.466181 | − | 0.269150i | |||||
−27.4327 | + | 12.0783i | −1.02449 | + | 0.451072i | |||||
13.3518 | − | 7.70866i | 0.498284 | − | 0.287685i | |||||
−8.07179 | + | 13.9808i | −0.301027 | + | 0.521394i | −0.976369 | − | 0.216111i | ||
0.675342 | + | 0.737505i | ||||||||
1.47686 | − | 0.451928i | 0.0550393 | − | 0.0168424i | |||||
0 | 0 | |||||||||
−12.2583 | −0.456207 | |||||||||
5.97849 | + | 4.38147i | 0.222342 | + | 0.162949i | |||||
−16.5875 | + | 9.57678i | −0.616468 | + | 0.355918i | |||||
−0.527135 | + | 29.4807i | −0.0195773 | + | 1.09488i | |||||
5.10457 | − | 6.96515i | 0.189448 | − | 0.258501i | |||||
−16.8426 | −0.624657 | −0.312329 | − | 0.949974i | ||||||
−0.312329 | + | 0.949974i | ||||||||
0 | 0 | |||||||||
21.4434 | + | 16.4067i | 0.794201 | + | 0.607655i | |||||
0.0101229 | − | 1.13236i | 0.000374666 | − | 0.0419106i | |||||
−25.1194 | − | 43.5081i | −0.929075 | − | 1.60920i | |||||
11.5705 | − | 5.09435i | 0.427658 | − | 0.188292i | |||||
11.0872 | − | 19.2035i | 0.409514 | − | 0.709299i | −0.585321 | − | 0.810801i | ||
0.994835 | + | 0.101503i | ||||||||
14.1599 | 0.522651 | |||||||||
0 | 0 | |||||||||
9.04773 | 0.333504 | |||||||||
20.5053 | − | 35.5162i | 0.755323 | − | 1.30826i | |||||
7.44499 | + | 23.5743i | 0.274054 | + | 0.867782i | |||||
−21.2262 | − | 36.7649i | −0.780820 | − | 1.35242i | −0.931465 | − | 0.363831i | ||
0.150645 | − | 0.988588i | ||||||||
−4.23505 | − | 0.0378598i | −0.155683 | − | 0.00139175i | |||||
3.09588 | − | 28.3291i | 0.113730 | − | 1.04070i | |||||
0 | 0 | |||||||||
24.5486 | 0.900600 | 0.450300 | − | 0.892877i | ||||||
0.450300 | + | 0.892877i | ||||||||
−7.51675 | − | 5.50883i | −0.275577 | − | 0.201963i | |||||
18.6967 | − | 31.7252i | 0.684992 | − | 1.16232i | |||||
−0.820444 | + | 0.473684i | −0.0300386 | + | 0.0173428i | |||||
8.86064 | + | 8.11171i | 0.324194 | + | 0.296792i | |||||
32.0904 | 1.17334 | |||||||||
0 | 0 | |||||||||
−2.36599 | + | 17.3323i | −0.0863938 | + | 0.632887i | |||||
−12.6883 | + | 21.9768i | −0.463003 | + | 0.801944i | −0.999109 | − | 0.0422062i | ||
0.536106 | + | 0.844151i | ||||||||
−1.37867 | + | 0.795973i | −0.0502748 | + | 0.0290261i | |||||
−12.1544 | − | 27.6055i | −0.442930 | − | 1.00600i | |||||
−13.3002 | − | 7.67890i | −0.484366 | − | 0.279649i | |||||
25.5900 | − | 14.4709i | 0.931314 | − | 0.526651i | |||||
0 | 0 | |||||||||
− | 18.9214i | − | 0.687709i | −0.939023 | − | 0.343854i | ||||
0.939023 | − | 0.343854i | ||||||||
8.90625 | − | 15.4261i | 0.323489 | − | 0.560300i | |||||
10.5138 | − | 4.62910i | 0.381627 | − | 0.168026i | |||||
18.6355 | − | 31.6214i | 0.675980 | − | 1.14703i | |||||
5.12909 | − | 8.88384i | 0.185929 | − | 0.322039i | −0.757960 | − | 0.652301i | ||
0.943889 | + | 0.330262i | ||||||||
−3.78845 | + | 34.6665i | −0.137241 | + | 1.25583i | |||||
0 | 0 | |||||||||
− | 9.80090i | − | 0.354584i | |||||||
43.5906 | + | 10.0521i | 1.57602 | + | 0.363435i | |||||
2.15836 | − | 1.24613i | 0.0779846 | − | 0.0450244i | |||||
1.42974 | + | 2.47639i | 0.0516250 | + | 0.0894172i | |||||
16.8856 | − | 23.0402i | 0.609306 | − | 0.831393i | |||||
− | 17.8947i | − | 0.645298i | −0.946519 | − | 0.322649i | ||||
0.946519 | − | 0.322649i | ||||||||
0 | 0 | |||||||||
−2.90074 | + | 26.5434i | −0.104468 | + | 0.955939i | |||||
16.3291 | + | 9.42764i | 0.587699 | + | 0.339308i | |||||
−8.93898 | + | 5.16092i | −0.321513 | + | 0.185626i | −0.652067 | − | 0.758162i | ||
0.330554 | + | 0.943787i | ||||||||
−19.4684 | + | 6.14831i | −0.699776 | + | 0.220996i | |||||
8.18261 | − | 4.53114i | 0.293928 | − | 0.162764i | |||||
−41.8116 | −1.50095 | |||||||||
0 | 0 | |||||||||
28.8187i | 1.03320i | |||||||||
45.0869 | + | 26.0309i | 1.61541 | + | 0.932655i | |||||
10.5927 | + | 7.90964i | 0.379281 | + | 0.283211i | |||||
−9.77915 | − | 16.9380i | −0.349926 | − | 0.606089i | |||||
−8.51334 | − | 4.91518i | −0.304436 | − | 0.175766i | |||||
9.82935 | − | 29.0228i | 0.351272 | − | 1.03719i | |||||
0 | 0 | |||||||||
−6.20540 | + | 3.50911i | −0.221480 | + | 0.125245i | |||||
0.105603 | − | 0.144094i | 0.00376672 | − | 0.00513966i | |||||
6.26338 | + | 10.8485i | 0.223265 | + | 0.386707i | 0.955798 | − | 0.294025i | ||
−0.732532 | + | 0.680732i | ||||||||
14.1330 | + | 24.4791i | 0.503468 | + | 0.872033i | |||||
−6.35987 | + | 8.67800i | −0.226417 | + | 0.308945i | |||||
−6.67873 | + | 3.77677i | −0.237619 | + | 0.134371i | |||||
0 | 0 | |||||||||
7.57462 | − | 34.2422i | 0.269152 | − | 1.21674i | |||||
−15.3920 | − | 8.88657i | −0.546586 | − | 0.315571i | |||||
−8.50062 | − | 14.7235i | −0.301676 | − | 0.522518i | |||||
4.71281 | + | 3.51908i | 0.167146 | + | 0.124809i | |||||
12.5373 | + | 7.23842i | 0.444373 | + | 0.256559i | |||||
23.4184i | 0.829521i | 0.909931 | + | 0.414761i | ||||||
−0.909931 | + | 0.414761i | ||||||||
0 | 0 | |||||||||
−46.1100 | −1.63126 | |||||||||
13.4297 | + | 24.2521i | 0.474811 | + | 0.857442i | |||||
9.40574 | + | 29.7829i | 0.332336 | + | 1.05233i | |||||
2.57316 | − | 1.48562i | 0.0908615 | − | 0.0524589i | |||||
−1.97329 | − | 1.13928i | −0.0696360 | − | 0.0402044i | |||||
2.24792 | − | 20.5698i | 0.0792780 | − | 0.725440i | |||||
0 | 0 | |||||||||
4.87184i | 0.171603i | |||||||||
6.13360 | − | 8.36925i | 0.215913 | − | 0.294612i | |||||
19.8420 | + | 34.3674i | 0.698040 | + | 1.20904i | |||||
−9.50469 | + | 5.48754i | −0.334167 | + | 0.192932i | −0.657690 | − | 0.753289i | ||
0.323522 | + | 0.946220i | ||||||||
7.81464 | − | 16.4140i | 0.274579 | − | 0.576730i | |||||
− | 35.5390i | − | 1.24794i | −0.781448 | − | 0.623971i | ||||
0.781448 | − | 0.623971i | ||||||||
0 | 0 | |||||||||
1.17511 | − | 10.7529i | 0.0412127 | − | 0.377121i | |||||
2.93671 | − | 5.08653i | 0.102932 | − | 0.178283i | |||||
−21.8879 | + | 37.1402i | −0.766700 | + | 1.30097i | |||||
−2.43384 | + | 1.07159i | −0.0852015 | + | 0.0375132i | |||||
−21.4972 | + | 37.2342i | −0.752090 | + | 1.30266i | |||||
− | 3.74808i | − | 0.131048i | |||||||
0 | 0 | |||||||||
−21.0227 | + | 11.8882i | −0.734146 | + | 0.415154i | |||||
−39.5091 | − | 22.8106i | −1.37888 | − | 0.796094i | −0.386851 | − | 0.922142i | ||
−0.992024 | + | 0.126048i | ||||||||
7.90860 | + | 17.9623i | 0.275844 | + | 0.626509i | |||||
12.0190 | − | 6.93918i | 0.418956 | − | 0.241885i | −0.275674 | − | 0.961251i | ||
0.694631 | + | 0.719366i | ||||||||
11.9558 | − | 20.7081i | 0.416501 | − | 0.721400i | |||||
28.0140 | + | 21.3109i | 0.975321 | + | 0.741949i | |||||
0 | 0 | |||||||||
12.3739 | 0.430283 | 0.215141 | − | 0.976583i | ||||||
0.215141 | + | 0.976583i | ||||||||
3.91390 | − | 4.27526i | 0.136017 | − | 0.148576i | |||||
−9.24010 | + | 5.33478i | −0.320922 | + | 0.185284i | −0.651803 | − | 0.758388i | ||
0.330881 | + | 0.943672i | ||||||||
4.10666 | − | 6.96834i | 0.142544 | − | 0.241875i | |||||
−12.1602 | − | 8.91187i | −0.421832 | − | 0.309149i | |||||
−15.7670 | −0.546621 | |||||||||
0 | 0 | |||||||||
0.403928 | − | 3.69618i | 0.0139869 | − | 0.127988i | |||||
1.97641 | + | 0.0176684i | 0.0683965 | + | 0.000611440i | |||||
−13.7315 | − | 23.7836i | −0.474912 | − | 0.822572i | |||||
−9.53226 | + | 1.90299i | −0.329483 | + | 0.0657771i | |||||
−10.2182 | + | 17.6984i | −0.352981 | + | 0.611381i | |||||
−17.5497 | −0.605883 | −0.302941 | − | 0.953009i | ||||||
−0.302941 | + | 0.953009i | ||||||||
0 | 0 | |||||||||
−5.77548 | −0.199154 | |||||||||
−14.4188 | + | 24.9740i | −0.496903 | + | 0.860662i | |||||
−6.91583 | + | 3.04496i | −0.238194 | + | 0.104874i | |||||
11.1673 | + | 19.3424i | 0.384395 | + | 0.665791i | |||||
−0.0937160 | + | 10.4832i | −0.00322393 | + | 0.360633i | |||||
−4.04721 | + | 18.2960i | −0.139146 | + | 0.629030i | |||||
0 | 0 | |||||||||
−0.349645 | −0.0120069 | |||||||||
−7.70015 | + | 10.5068i | −0.264268 | + | 0.360592i | |||||
0.538484 | − | 30.1154i | 0.0184698 | − | 1.03295i | |||||
2.26078 | − | 1.30526i | 0.0774986 | − | 0.0447438i | |||||
−7.95960 | − | 5.83337i | −0.272691 | − | 0.199848i | |||||
29.6157 | 1.01402 | 0.507011 | − | 0.861940i | ||||||
0.507011 | + | 0.861940i | ||||||||
0 | 0 | |||||||||
−11.2023 | − | 36.6082i | −0.383112 | − | 1.25197i | |||||
15.4410 | − | 26.7447i | 0.527764 | − | 0.914114i | |||||
38.6264 | − | 22.3010i | 1.31945 | − | 0.761787i | 0.335812 | − | 0.941929i | ||
0.983641 | + | 0.180142i | ||||||||
−16.7792 | + | 7.38768i | −0.572832 | + | 0.252211i | |||||
5.57093 | + | 3.21638i | 0.190078 | + | 0.109741i | 0.592019 | − | 0.805924i | ||
−0.401941 | + | 0.915665i | ||||||||
−9.81763 | − | 17.3612i | −0.334778 | − | 0.592013i | |||||
0 | 0 | |||||||||
− | 22.6239i | − | 0.770573i | |||||||
−26.6755 | + | 46.2033i | −0.908045 | + | 1.57278i | −0.0912683 | + | 0.995826i | ||
−0.816777 | + | 0.576954i | ||||||||
−5.64021 | − | 28.2523i | −0.191884 | − | 0.961162i | |||||
14.2096 | − | 24.1114i | 0.483140 | − | 0.819811i | |||||
2.30451 | − | 3.99152i | 0.0783104 | − | 0.135638i | |||||
−47.2991 | − | 5.16897i | −1.60636 | − | 0.175547i | |||||
0 | 0 | |||||||||
15.4384i | 0.523713i | |||||||||
−20.4886 | − | 2.42458i | −0.694630 | − | 0.0822010i | |||||
−25.1927 | + | 14.5450i | −0.853623 | + | 0.492839i | |||||
0.771796 | + | 1.33679i | 0.0261363 | + | 0.0452694i | |||||
−29.4483 | + | 32.1671i | −0.996673 | + | 1.08869i | |||||
8.41281i | 0.284567i | |||||||||
0 | 0 | |||||||||
−1.14286 | − | 0.124895i | −0.0386138 | − | 0.00421982i | |||||
−30.7320 | − | 17.7431i | −1.03774 | − | 0.599142i | −0.118551 | − | 0.992948i | ||
−0.919194 | + | 0.393806i | ||||||||
8.83075 | − | 5.09844i | 0.298023 | − | 0.172064i | |||||
−0.167849 | + | 0.0739020i | −0.00566141 | + | 0.00249265i | |||||
−2.09233 | − | 0.0187047i | −0.0705326 | − | 0.000630535i | |||||
−25.0114 | −0.842655 | −0.421327 | − | 0.906909i | ||||||
−0.421327 | + | 0.906909i | ||||||||
0 | 0 | |||||||||
30.1344i | 1.01410i | 0.861916 | + | 0.507051i | ||||||
−0.861916 | + | 0.507051i | ||||||||
−19.7130 | − | 11.3813i | −0.663021 | − | 0.382796i | |||||
3.07800 | + | 2.29836i | 0.103466 | + | 0.0772584i | |||||
9.89976 | + | 17.1469i | 0.332589 | + | 0.576061i | |||||
7.84535 | + | 4.52951i | 0.263421 | + | 0.152086i | 0.625894 | − | 0.779908i | ||
−0.362473 | + | 0.931994i | ||||||||
0.865767 | − | 7.92227i | 0.0290532 | − | 0.265854i | |||||
0 | 0 | |||||||||
18.3052 | − | 10.3515i | 0.613592 | − | 0.346982i | |||||
−21.0089 | − | 29.9445i | −0.703825 | − | 1.00318i | |||||
−11.4123 | − | 19.7668i | −0.382113 | − | 0.661840i | |||||
19.7305 | + | 34.1742i | 0.660255 | + | 1.14359i | |||||
20.7832 | + | 15.2315i | 0.695095 | + | 0.509416i | |||||
13.3905 | + | 23.6794i | 0.447595 | + | 0.791514i | |||||
0 | 0 | |||||||||
−8.10039 | − | 0.885232i | −0.270464 | − | 0.0295570i | |||||
0.351569 | + | 0.202979i | 0.0117320 | + | 0.00677349i | |||||
5.51578 | + | 9.55361i | 0.183962 | + | 0.318631i | |||||
17.2692 | + | 4.14524i | 0.575638 | + | 0.138175i | |||||
−8.77052 | − | 5.06366i | −0.292188 | − | 0.168695i | |||||
− | 33.4931i | − | 1.11520i | |||||||
0 | 0 | |||||||||
−34.8104 | −1.15778 | |||||||||
36.1720 | + | 0.323365i | 1.20240 | + | 0.0107490i | |||||
8.28912 | + | 18.8266i | 0.275387 | + | 0.625471i | |||||
−8.21292 | + | 4.74173i | −0.272705 | + | 0.157447i | −0.630116 | − | 0.776501i | ||
0.357411 | + | 0.933947i | ||||||||
−11.7934 | − | 6.80891i | −0.391377 | − | 0.225962i | |||||
40.4150 | + | 8.94009i | 1.34048 | + | 0.296524i | |||||
0 | 0 | |||||||||
− | 56.8415i | − | 1.88324i | −0.336672 | − | 0.941622i | ||||
0.336672 | − | 0.941622i | ||||||||
1.83564 | + | 1.34529i | 0.0607842 | + | 0.0445471i | |||||
−8.13751 | − | 14.0946i | −0.269312 | − | 0.466463i | |||||
7.26995 | − | 4.19731i | 0.240469 | − | 0.138835i | |||||
−23.7109 | − | 2.80590i | −0.783859 | − | 0.0927602i | |||||
20.5695i | 0.679637i | |||||||||
0 | 0 | |||||||||
−10.0410 | + | 29.6476i | −0.331402 | + | 0.978518i | |||||
28.6839 | − | 49.6820i | 0.946195 | − | 1.63886i | 0.192853 | − | 0.981228i | ||
0.753341 | − | 0.657630i | ||||||||
−9.04177 | − | 5.32860i | −0.298098 | − | 0.175679i | |||||
−6.49977 | − | 14.7625i | −0.214175 | − | 0.486442i | |||||
9.42488 | − | 16.3244i | 0.310392 | − | 0.537615i | |||||
13.8733i | 0.456645i | |||||||||
0 | 0 | |||||||||
6.85442 | + | 4.12252i | 0.225372 | + | 0.135548i | |||||
1.91897 | + | 1.10792i | 0.0630613 | + | 0.0364084i | |||||
−7.51088 | − | 23.7829i | −0.246690 | − | 0.781134i | |||||
−28.3156 | + | 16.3480i | −0.929504 | + | 0.536649i | |||||
5.14668 | − | 8.91430i | 0.168857 | − | 0.292469i | −0.769161 | − | 0.639055i | ||
0.938018 | + | 0.346586i | ||||||||
2.58364 | + | 6.01326i | 0.0847208 | + | 0.197182i | |||||
0 | 0 | |||||||||
0.548005 | 0.0179505 | |||||||||
25.9182 | − | 35.3651i | 0.848522 | − | 1.15780i | |||||
−6.24283 | + | 3.60430i | −0.204271 | + | 0.117936i | |||||
−52.2134 | − | 30.7710i | −1.70756 | − | 1.00632i | |||||
−16.7976 | + | 18.3485i | −0.549046 | + | 0.599738i | |||||
29.0347 | 0.948522 | 0.474261 | − | 0.880384i | ||||||
0.474261 | + | 0.880384i | ||||||||
0 | 0 | |||||||||
13.1715 | + | 1.43941i | 0.429835 | + | 0.0469735i | |||||
−18.3050 | − | 0.163640i | −0.597044 | − | 0.00533735i | |||||
−7.48583 | − | 12.9658i | −0.244031 | − | 0.422674i | 0.717828 | − | 0.696221i | ||
−0.961859 | + | 0.273546i | ||||||||
−2.01006 | − | 4.56532i | −0.0654912 | − | 0.148746i | |||||
7.44325 | − | 12.8921i | 0.242386 | − | 0.419824i | |||||
−0.228358 | −0.00743242 | |||||||||
0 | 0 | |||||||||
27.6596 | 0.899292 | |||||||||
−7.25429 | + | 12.5648i | −0.235733 | + | 0.408301i | −0.959485 | − | 0.281758i | ||
0.723753 | + | 0.690059i | ||||||||
3.13888 | + | 7.12916i | 0.101946 | + | 0.231544i | |||||
0.808126 | + | 1.39972i | 0.0262329 | + | 0.0454367i | |||||
−22.5502 | + | 12.4873i | −0.731626 | + | 0.405140i | |||||
−42.6085 | − | 4.65637i | −1.38167 | − | 0.150993i | |||||
0 | 0 | |||||||||
−34.9591 | −1.13244 | −0.566218 | − | 0.824256i | ||||||
−0.566218 | + | 0.824256i | ||||||||
−2.77903 | + | 3.03561i | −0.0899743 | + | 0.0982813i | |||||
−9.39793 | + | 15.9468i | −0.304110 | + | 0.516025i | |||||
17.7443 | − | 10.2447i | 0.573891 | − | 0.331336i | |||||
−24.5396 | + | 33.4842i | −0.793254 | + | 1.08239i | |||||
12.5500 | 0.405473 | |||||||||
0 | 0 | |||||||||
−19.4610 | + | 8.36156i | −0.628101 | + | 0.269868i | |||||
−13.7503 | + | 23.8162i | −0.443557 | + | 0.768264i | |||||
−3.60802 | + | 2.08309i | −0.116327 | + | 0.0671616i | |||||
−9.70038 | − | 30.7159i | −0.312590 | − | 0.989805i | |||||
−4.38790 | − | 2.53336i | −0.141325 | − | 0.0815939i | |||||
−17.5287 | − | 30.9972i | −0.564268 | − | 0.997836i | |||||
0 | 0 | |||||||||
− | 46.6810i | − | 1.50116i | −0.660779 | − | 0.750581i | ||||
0.660779 | − | 0.750581i | ||||||||
−7.93709 | + | 13.7474i | −0.255108 | + | 0.441860i | |||||
26.5624 | + | 60.3297i | 0.853308 | + | 1.93807i | |||||
25.2975 | + | 14.9086i | 0.812253 | + | 0.478686i | |||||
0.656690 | − | 1.13742i | 0.0210742 | − | 0.0365016i | −0.855296 | − | 0.518140i | ||
0.876370 | + | 0.481638i | ||||||||
−15.7897 | − | 9.55635i | −0.506456 | − | 0.306520i | |||||
0 | 0 | |||||||||
− | 23.9482i | − | 0.767350i | |||||||
−9.65070 | − | 23.0268i | −0.309070 | − | 0.737447i | |||||
1.22920 | − | 0.709680i | 0.0393458 | − | 0.0227163i | |||||
−26.5376 | − | 45.9645i | −0.849013 | − | 1.47053i | −0.882090 | − | 0.471081i | ||
0.0330769 | − | 0.999453i | ||||||||
−24.3306 | − | 17.8313i | −0.778008 | − | 0.570181i | |||||
− | 42.3140i | − | 1.35236i | |||||||
0 | 0 | |||||||||
1.57202 | + | 0.347743i | 0.0501908 | + | 0.0111026i | |||||
−1.99186 | − | 1.15000i | −0.0635629 | − | 0.0366980i | |||||
18.2849 | − | 10.5568i | 0.583198 | − | 0.336709i | −0.179206 | − | 0.983812i | ||
0.762403 | + | 0.647102i | ||||||||
−18.3128 | − | 41.5927i | −0.583789 | − | 1.32593i | |||||
0.477209 | − | 53.3812i | 0.0152051 | − | 1.70087i | |||||
35.5242 | 1.13132 | |||||||||
0 | 0 | |||||||||
19.4803i | 0.619750i | |||||||||
10.6467 | + | 6.14686i | 0.338545 | + | 0.195459i | |||||
−16.7925 | + | 18.0169i | −0.533702 | + | 0.572614i | |||||
26.8174 | + | 46.4491i | 0.851883 | + | 1.47551i | 0.879507 | + | 0.475887i | ||
−0.0276234 | + | 0.999618i | ||||||||
8.98233 | + | 5.18595i | 0.285189 | + | 0.164654i | |||||
−28.1621 | − | 3.07763i | −0.893698 | − | 0.0976657i | |||||
0 | 0 | |||||||||
−13.4583 | − | 23.7993i | −0.426657 | − | 0.754488i | |||||
−6.62340 | − | 4.85411i | −0.209871 | − | 0.153808i | |||||
19.4435 | + | 33.6771i | 0.615781 | + | 1.06656i | 0.990247 | + | 0.139323i | ||
−0.374466 | + | 0.927241i | ||||||||
−13.3918 | − | 23.1953i | −0.423910 | − | 0.734234i | |||||
−5.48513 | − | 6.24580i | −0.173542 | − | 0.197608i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 735.2.p.g.509.10 | 64 | ||
3.2 | odd | 2 | inner | 735.2.p.g.509.21 | 64 | ||
5.4 | even | 2 | inner | 735.2.p.g.509.23 | 64 | ||
7.2 | even | 3 | 735.2.g.c.734.24 | yes | 32 | ||
7.3 | odd | 6 | inner | 735.2.p.g.374.12 | 64 | ||
7.4 | even | 3 | inner | 735.2.p.g.374.9 | 64 | ||
7.5 | odd | 6 | 735.2.g.c.734.21 | yes | 32 | ||
7.6 | odd | 2 | inner | 735.2.p.g.509.11 | 64 | ||
15.14 | odd | 2 | inner | 735.2.p.g.509.12 | 64 | ||
21.2 | odd | 6 | 735.2.g.c.734.11 | yes | 32 | ||
21.5 | even | 6 | 735.2.g.c.734.10 | yes | 32 | ||
21.11 | odd | 6 | inner | 735.2.p.g.374.22 | 64 | ||
21.17 | even | 6 | inner | 735.2.p.g.374.23 | 64 | ||
21.20 | even | 2 | inner | 735.2.p.g.509.24 | 64 | ||
35.4 | even | 6 | inner | 735.2.p.g.374.24 | 64 | ||
35.9 | even | 6 | 735.2.g.c.734.9 | ✓ | 32 | ||
35.19 | odd | 6 | 735.2.g.c.734.12 | yes | 32 | ||
35.24 | odd | 6 | inner | 735.2.p.g.374.21 | 64 | ||
35.34 | odd | 2 | inner | 735.2.p.g.509.22 | 64 | ||
105.44 | odd | 6 | 735.2.g.c.734.22 | yes | 32 | ||
105.59 | even | 6 | inner | 735.2.p.g.374.10 | 64 | ||
105.74 | odd | 6 | inner | 735.2.p.g.374.11 | 64 | ||
105.89 | even | 6 | 735.2.g.c.734.23 | yes | 32 | ||
105.104 | even | 2 | inner | 735.2.p.g.509.9 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
735.2.g.c.734.9 | ✓ | 32 | 35.9 | even | 6 | ||
735.2.g.c.734.10 | yes | 32 | 21.5 | even | 6 | ||
735.2.g.c.734.11 | yes | 32 | 21.2 | odd | 6 | ||
735.2.g.c.734.12 | yes | 32 | 35.19 | odd | 6 | ||
735.2.g.c.734.21 | yes | 32 | 7.5 | odd | 6 | ||
735.2.g.c.734.22 | yes | 32 | 105.44 | odd | 6 | ||
735.2.g.c.734.23 | yes | 32 | 105.89 | even | 6 | ||
735.2.g.c.734.24 | yes | 32 | 7.2 | even | 3 | ||
735.2.p.g.374.9 | 64 | 7.4 | even | 3 | inner | ||
735.2.p.g.374.10 | 64 | 105.59 | even | 6 | inner | ||
735.2.p.g.374.11 | 64 | 105.74 | odd | 6 | inner | ||
735.2.p.g.374.12 | 64 | 7.3 | odd | 6 | inner | ||
735.2.p.g.374.21 | 64 | 35.24 | odd | 6 | inner | ||
735.2.p.g.374.22 | 64 | 21.11 | odd | 6 | inner | ||
735.2.p.g.374.23 | 64 | 21.17 | even | 6 | inner | ||
735.2.p.g.374.24 | 64 | 35.4 | even | 6 | inner | ||
735.2.p.g.509.9 | 64 | 105.104 | even | 2 | inner | ||
735.2.p.g.509.10 | 64 | 1.1 | even | 1 | trivial | ||
735.2.p.g.509.11 | 64 | 7.6 | odd | 2 | inner | ||
735.2.p.g.509.12 | 64 | 15.14 | odd | 2 | inner | ||
735.2.p.g.509.21 | 64 | 3.2 | odd | 2 | inner | ||
735.2.p.g.509.22 | 64 | 35.34 | odd | 2 | inner | ||
735.2.p.g.509.23 | 64 | 5.4 | even | 2 | inner | ||
735.2.p.g.509.24 | 64 | 21.20 | even | 2 | inner |