Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [85,2,Mod(26,85)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(85, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("85.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 85.l (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 | 26.6 | ||
Character | 85.26 | ||
Dual form | 85.2.l.a.36.6 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.66305 | − | 1.66305i | 1.17595 | − | 1.17595i | 0.195185 | − | 0.980767i | ||
0.980767 | − | 0.195185i | ||||||||
−1.44989 | − | 0.600564i | −0.837095 | − | 0.346736i | −0.0773874 | − | 0.997001i | ||
−0.759707 | + | 0.650265i | ||||||||
− | 3.53144i | − | 1.76572i | |||||||
−0.382683 | + | 0.923880i | −0.171141 | + | 0.413171i | |||||
−3.41000 | + | 1.41247i | −1.39213 | + | 0.576638i | |||||
1.37082 | + | 3.30945i | 0.518121 | + | 1.25085i | 0.939056 | + | 0.343764i | ||
−0.420935 | + | 0.907091i | ||||||||
−2.54686 | − | 2.54686i | −0.900451 | − | 0.900451i | |||||
−0.379815 | − | 0.379815i | −0.126605 | − | 0.126605i | |||||
0.900034 | + | 2.17287i | 0.284616 | + | 0.687123i | |||||
2.29362 | − | 0.950048i | 0.691552 | − | 0.286450i | −0.00909468 | − | 0.999959i | ||
0.700647 | + | 0.713508i | ||||||||
−2.12086 | + | 5.12021i | −0.612239 | + | 1.47808i | |||||
− | 1.25948i | − | 0.349317i | −0.984629 | − | 0.174659i | ||||
0.984629 | − | 0.174659i | ||||||||
7.78350 | + | 3.22403i | 2.08023 | + | 0.861659i | |||||
1.10970 | − | 1.10970i | 0.286523 | − | 0.286523i | |||||
−1.40821 | −0.352052 | |||||||||
−3.84535 | + | 1.48772i | −0.932634 | + | 0.360825i | |||||
−1.26330 | −0.297762 | |||||||||
−2.56985 | + | 2.56985i | −0.589563 | + | 0.589563i | −0.937513 | − | 0.347950i | ||
0.347950 | + | 0.937513i | ||||||||
3.26263 | + | 1.35142i | 0.729546 | + | 0.302188i | |||||
− | 5.62161i | − | 1.22674i | |||||||
2.23442 | − | 5.39437i | 0.476380 | − | 1.15008i | |||||
−8.16056 | + | 3.38021i | −1.70159 | + | 0.704823i | −0.999970 | − | 0.00772401i | ||
−0.701624 | + | 0.712547i | ||||||||
2.16312 | + | 5.22222i | 0.441544 | + | 1.06598i | |||||
−0.707107 | − | 0.707107i | −0.141421 | − | 0.141421i | |||||
−2.09458 | − | 2.09458i | −0.410780 | − | 0.410780i | |||||
2.12428 | + | 5.12847i | 0.408818 | + | 0.986974i | |||||
11.6871 | − | 4.84097i | 2.20866 | − | 0.914857i | |||||
3.35200 | − | 8.09244i | 0.622451 | − | 1.50273i | −0.226367 | − | 0.974042i | ||
0.848817 | − | 0.528686i | ||||||||
− | 3.69096i | − | 0.673874i | |||||||
2.25799 | + | 0.935290i | 0.405547 | + | 0.167983i | 0.576126 | − | 0.817361i | ||
−0.170579 | + | 0.985344i | ||||||||
2.75181 | − | 2.75181i | 0.486456 | − | 0.486456i | |||||
−3.89606 | −0.678217 | |||||||||
−3.92084 | + | 8.86913i | −0.672419 | + | 1.52104i | |||||
−3.58212 | −0.605489 | |||||||||
−1.34129 | + | 1.34129i | −0.223549 | + | 0.223549i | |||||
−4.25128 | − | 1.76094i | −0.698906 | − | 0.289496i | 0.00479925 | − | 0.999988i | ||
−0.703705 | + | 0.710492i | ||||||||
8.54755i | 1.38660i | |||||||||
−0.756400 | + | 1.82611i | −0.121121 | + | 0.292412i | |||||
3.32763 | − | 1.37835i | 0.526145 | − | 0.217936i | |||||
−1.65510 | − | 3.99575i | −0.258483 | − | 0.624032i | 0.740356 | − | 0.672215i | ||
−0.998839 | + | 0.0481830i | ||||||||
−9.34899 | − | 9.34899i | −1.44258 | − | 1.44258i | |||||
5.33668 | + | 5.33668i | 0.813836 | + | 0.813836i | 0.985207 | − | 0.171371i | ||
−0.171371 | + | 0.985207i | ||||||||
−3.35504 | − | 8.09978i | −0.505791 | − | 1.22109i | |||||
0.496252 | − | 0.205554i | 0.0739769 | − | 0.0306422i | |||||
−7.94993 | + | 19.1928i | −1.17215 | + | 2.82983i | |||||
− | 11.3322i | − | 1.65297i | −0.562961 | − | 0.826484i | ||||
0.562961 | − | 0.826484i | ||||||||
2.04175 | + | 0.845719i | 0.294701 | + | 0.122069i | |||||
−4.12357 | + | 4.12357i | −0.589081 | + | 0.589081i | |||||
−2.35190 | −0.332609 | |||||||||
6.46880 | + | 0.152348i | 0.905814 | + | 0.0213330i | |||||
−4.44779 | −0.616797 | |||||||||
4.02442 | − | 4.02442i | 0.552797 | − | 0.552797i | −0.374450 | − | 0.927247i | ||
0.927247 | + | 0.374450i | ||||||||
12.0616 | + | 4.99610i | 1.64138 | + | 0.679883i | |||||
2.48259i | 0.334753i | |||||||||
4.93742 | − | 11.9200i | 0.659791 | − | 1.59288i | |||||
5.26936 | − | 2.18264i | 0.697943 | − | 0.289098i | |||||
−7.88357 | − | 19.0326i | −1.03516 | − | 2.49911i | |||||
3.16077 | + | 3.16077i | 0.411497 | + | 0.411497i | 0.882260 | − | 0.470763i | ||
−0.470763 | + | 0.882260i | ||||||||
−3.91884 | − | 3.91884i | −0.505920 | − | 0.505920i | |||||
0.0929426 | + | 0.224383i | 0.0119001 | + | 0.0287293i | 0.929718 | − | 0.368273i | ||
−0.917818 | + | 0.397002i | ||||||||
5.31057 | − | 2.19971i | 0.674443 | − | 0.279364i | |||||
0.736321 | − | 1.77764i | 0.0927677 | − | 0.223961i | |||||
− | 11.9692i | − | 1.49615i | |||||||
1.16361 | + | 0.481983i | 0.144328 | + | 0.0597826i | |||||
−6.47933 | + | 6.47933i | −0.797550 | + | 0.797550i | |||||
7.23278 | 0.883625 | 0.441812 | − | 0.897108i | ||||||
0.441812 | + | 0.897108i | ||||||||
5.25380 | + | 13.5796i | 0.637116 | + | 1.64677i | |||||
13.8620 | 1.66878 | |||||||||
−5.95724 | + | 5.95724i | −0.712026 | + | 0.712026i | |||||
−1.69789 | − | 0.703290i | −0.201503 | − | 0.0834651i | 0.279650 | − | 0.960102i | ||
−0.481152 | + | 0.876637i | ||||||||
1.93467i | 0.228003i | |||||||||
−2.09426 | + | 5.05599i | −0.245114 | + | 0.591758i | −0.997777 | − | 0.0666485i | ||
0.752662 | + | 0.658407i | ||||||||
−9.99859 | + | 4.14155i | −1.16231 | + | 0.481446i | |||||
0.600564 | + | 1.44989i | 0.0693472 | + | 0.167419i | |||||
9.07527 | + | 9.07527i | 1.04100 | + | 1.04100i | |||||
6.28827 | + | 6.28827i | 0.716615 | + | 0.716615i | |||||
1.77898 | + | 4.29484i | 0.201430 | + | 0.486294i | |||||
−8.34789 | + | 3.45781i | −0.939211 | + | 0.389034i | −0.799166 | − | 0.601111i | ||
−0.140046 | + | 0.990145i | ||||||||
0.538897 | − | 1.30101i | 0.0602505 | − | 0.145458i | |||||
− | 7.10006i | − | 0.788896i | |||||||
−9.39762 | − | 3.89262i | −1.03779 | − | 0.429868i | |||||
−5.17302 | + | 5.17302i | −0.567812 | + | 0.567812i | −0.931515 | − | 0.363703i | ||
0.363703 | + | 0.931515i | ||||||||
−19.8524 | −2.16607 | |||||||||
0.0970771 | − | 4.12196i | 0.0105295 | − | 0.447090i | |||||
17.7503 | 1.91406 | |||||||||
−9.72006 | + | 9.72006i | −1.04210 | + | 1.04210i | |||||
−8.26117 | − | 3.42189i | −0.880643 | − | 0.364774i | |||||
2.19350i | 0.232510i | 0.993219 | + | 0.116255i | ||||||
−0.993219 | + | 0.116255i | ||||||||
0.483443 | − | 1.16714i | 0.0509594 | − | 0.123027i | |||||
4.16819 | − | 1.72652i | 0.436945 | − | 0.180989i | |||||
11.9370 | + | 28.8186i | 1.24452 | + | 3.00454i | |||||
−2.71214 | − | 2.71214i | −0.281235 | − | 0.281235i | |||||
−18.8459 | − | 18.8459i | −1.94381 | − | 1.94381i | |||||
−1.39079 | − | 3.35767i | −0.142692 | − | 0.344489i | |||||
−5.64246 | + | 2.33718i | −0.575882 | + | 0.238538i | |||||
−3.75810 | + | 9.07286i | −0.381577 | + | 0.921209i | 0.610084 | + | 0.792337i | ||
−0.991661 | + | 0.128872i | ||||||||
13.7154i | 1.38546i | |||||||||
−1.23199 | − | 0.510308i | −0.123820 | − | 0.0512879i | |||||
−2.49711 | + | 2.49711i | −0.249711 | + | 0.249711i | |||||
5.46415 | 0.543704 | 0.271852 | − | 0.962339i | ||||||
0.271852 | + | 0.962339i | ||||||||
11.0113 | − | 10.5046i | 1.09028 | − | 1.04011i | |||||
7.16074 | 0.705568 | 0.352784 | − | 0.935705i | ||||||
0.352784 | + | 0.935705i | ||||||||
−3.20773 | + | 3.20773i | −0.314543 | + | 0.314543i | |||||
5.19369 | + | 2.15130i | 0.506852 | + | 0.209945i | |||||
− | 13.3856i | − | 1.30012i | |||||||
−0.238471 | + | 0.575721i | −0.0230539 | + | 0.0556570i | −0.934987 | − | 0.354681i | ||
0.911933 | + | 0.410338i | ||||||||
18.1109 | − | 7.50177i | 1.74272 | − | 0.721859i | |||||
2.36863 | + | 5.71837i | 0.226873 | + | 0.547720i | 0.995794 | − | 0.0916242i | ||
−0.768921 | + | 0.639344i | ||||||||
4.12867 | + | 4.12867i | 0.393653 | + | 0.393653i | |||||
5.10633 | + | 5.10633i | 0.484672 | + | 0.484672i | |||||
−1.93040 | − | 4.66039i | −0.182405 | − | 0.440365i | |||||
14.8371 | − | 6.14574i | 1.39576 | − | 0.578143i | 0.447113 | − | 0.894478i | ||
0.948648 | + | 0.316335i | ||||||||
5.13335 | − | 12.3930i | 0.480782 | − | 1.16071i | |||||
− | 8.83293i | − | 0.823675i | |||||||
−28.5780 | − | 11.8374i | −2.65340 | − | 1.09907i | |||||
−0.478370 | + | 0.478370i | −0.0442253 | + | 0.0442253i | |||||
10.5130 | 0.967801 | |||||||||
−10.1948 | − | 10.6866i | −0.934557 | − | 0.979638i | |||||
−5.65249 | −0.516000 | |||||||||
−3.42008 | + | 3.42008i | −0.310916 | + | 0.310916i | |||||
0.527727 | + | 0.218592i | 0.0477782 | + | 0.0197904i | |||||
6.78740i | 0.611999i | |||||||||
3.30292 | − | 7.97396i | 0.296611 | − | 0.716083i | |||||
0.923880 | − | 0.382683i | 0.0826343 | − | 0.0342282i | |||||
−1.73175 | − | 4.18082i | −0.154277 | − | 0.372457i | |||||
4.18456 | + | 4.18456i | 0.371320 | + | 0.371320i | 0.867958 | − | 0.496638i | ||
−0.496638 | + | 0.867958i | ||||||||
−14.4017 | − | 14.4017i | −1.27294 | − | 1.27294i | |||||
−4.53258 | − | 10.9426i | −0.399072 | − | 0.963444i | |||||
2.73670 | − | 1.13358i | 0.240024 | − | 0.0994213i | |||||
6.16914 | − | 14.8936i | 0.539000 | − | 1.30126i | −0.386421 | − | 0.922322i | ||
0.925422 | − | 0.378939i | ||||||||
13.7587i | 1.19754i | |||||||||
−12.0276 | − | 4.98198i | −1.04292 | − | 0.431993i | |||||
12.0284 | − | 12.0284i | 1.03910 | − | 1.03910i | |||||
−5.55101 | −0.477755 | |||||||||
13.5826 | + | 6.00455i | 1.16470 | + | 0.514886i | |||||
−17.1320 | −1.46369 | −0.731843 | − | 0.681473i | ||||||
−0.731843 | + | 0.681473i | ||||||||
23.0531 | − | 23.0531i | 1.96241 | − | 1.96241i | |||||
1.97070 | + | 0.816292i | 0.167153 | + | 0.0692369i | 0.464691 | − | 0.885473i | ||
−0.297538 | + | 0.954710i | ||||||||
12.6501i | 1.06913i | |||||||||
−6.80570 | + | 16.4304i | −0.573143 | + | 1.38369i | |||||
−3.99327 | + | 1.65407i | −0.335108 | + | 0.138806i | |||||
−1.19657 | − | 2.88877i | −0.100062 | − | 0.241571i | |||||
0.534857 | + | 0.534857i | 0.0445715 | + | 0.0445715i | |||||
6.19369 | + | 6.19369i | 0.514358 | + | 0.514358i | |||||
4.92549 | + | 11.8912i | 0.407636 | + | 0.984121i | |||||
8.45519 | − | 3.50226i | 0.697373 | − | 0.288861i | |||||
−6.21865 | + | 15.0131i | −0.511170 | + | 1.23407i | |||||
18.5384i | 1.51872i | 0.650669 | + | 0.759362i | ||||||
−0.650669 | + | 0.759362i | ||||||||
3.41000 | + | 1.41247i | 0.278425 | + | 0.115328i | |||||
−6.30217 | + | 6.30217i | −0.512863 | + | 0.512863i | −0.915403 | − | 0.402539i | ||
0.402539 | + | 0.915403i | ||||||||
13.0901 | 1.06175 | |||||||||
2.02558 | + | 0.895462i | 0.163758 | + | 0.0723938i | |||||
20.9154 | 1.68541 | |||||||||
−1.72819 | + | 1.72819i | −0.138812 | + | 0.138812i | |||||
6.44881 | + | 2.67118i | 0.516318 | + | 0.213866i | |||||
− | 18.2426i | − | 1.45592i | −0.685620 | − | 0.727960i | ||||
0.685620 | − | 0.727960i | ||||||||
−8.13243 | + | 19.6334i | −0.646982 | + | 1.56195i | |||||
−8.25189 | + | 3.41805i | −0.654418 | + | 0.271069i | |||||
1.48927 | + | 3.59541i | 0.117737 | + | 0.284242i | |||||
−22.3733 | − | 22.3733i | −1.76326 | − | 1.76326i | |||||
−11.8077 | − | 11.8077i | −0.927703 | − | 0.927703i | |||||
−3.58387 | − | 8.65222i | −0.280710 | − | 0.677694i | 0.719142 | − | 0.694863i | ||
−0.999853 | + | 0.0171684i | ||||||||
−14.1108 | + | 5.84488i | −1.10187 | + | 0.456408i | |||||
1.49096 | − | 3.59949i | 0.116071 | − | 0.280220i | |||||
17.2059i | 1.33544i | |||||||||
−8.57484 | − | 3.55181i | −0.663541 | − | 0.274848i | 0.0253869 | − | 0.999678i | ||
−0.688928 | + | 0.724830i | ||||||||
−14.3175 | + | 14.3175i | −1.10462 | + | 1.10462i | |||||
11.4137 | 0.877977 | |||||||||
−6.69357 | − | 7.01646i | −0.513373 | − | 0.538138i | |||||
1.95213 | 0.149283 | |||||||||
18.8462 | − | 18.8462i | 1.43701 | − | 1.43701i | |||||
−3.97248 | − | 1.64545i | −0.302022 | − | 0.125102i | 0.226526 | − | 0.974005i | ||
−0.528548 | + | 0.848904i | ||||||||
32.3298i | 2.45092i | |||||||||
1.37082 | − | 3.30945i | 0.103624 | − | 0.250171i | |||||
−3.22989 | + | 1.33786i | −0.243462 | + | 0.100845i | |||||
−2.68453 | − | 6.48102i | −0.201781 | − | 0.487143i | |||||
3.64789 | + | 3.64789i | 0.273421 | + | 0.273421i | |||||
−0.0832109 | − | 0.0832109i | −0.00621948 | − | 0.00621948i | 0.703990 | − | 0.710210i | ||
−0.710210 | + | 0.703990i | ||||||||
−0.725903 | − | 1.75249i | −0.0541056 | − | 0.130623i | |||||
−2.14676 | + | 0.889218i | −0.159568 | + | 0.0660951i | −0.461038 | − | 0.887381i | ||
0.301470 | + | 0.953476i | ||||||||
4.06061 | − | 9.80318i | 0.300993 | − | 0.726660i | |||||
− | 0.381149i | − | 0.0281754i | |||||||
29.3927 | + | 12.1749i | 2.16686 | + | 0.897544i | |||||
3.25379 | − | 3.25379i | 0.239223 | − | 0.239223i | |||||
−9.02082 | −0.661438 | |||||||||
−7.40635 | + | 7.06552i | −0.541606 | + | 0.516682i | |||||
−40.0189 | −2.91868 | |||||||||
−14.0604 | + | 14.0604i | −1.02274 | + | 1.02274i | |||||
−7.89690 | − | 3.27100i | −0.572902 | − | 0.237304i | |||||
14.6622i | 1.06092i | 0.847710 | + | 0.530461i | ||||||
−0.847710 | + | 0.530461i | ||||||||
−7.18827 | + | 17.3540i | −0.518768 | + | 1.25242i | |||||
7.75695 | − | 3.21303i | 0.558357 | − | 0.231279i | −0.0856146 | − | 0.996328i | ||
0.643972 | + | 0.765049i | ||||||||
8.83869 | + | 21.3385i | 0.634581 | + | 1.53201i | |||||
−1.39765 | − | 1.39765i | −0.100087 | − | 0.100087i | |||||
14.5622 | + | 14.5622i | 1.04015 | + | 1.04015i | |||||
−2.55690 | − | 6.17290i | −0.182171 | − | 0.439801i | 0.806242 | − | 0.591586i | ||
−0.988414 | + | 0.151785i | ||||||||
−2.89752 | + | 1.20019i | −0.205918 | + | 0.0852941i | |||||
7.22192 | − | 17.4353i | 0.511949 | − | 1.23595i | −0.430800 | − | 0.902448i | ||
0.942748 | − | 0.333506i | ||||||||
3.60181i | 0.254686i | |||||||||
−10.4867 | − | 4.34375i | −0.739678 | − | 0.306384i | |||||
9.08714 | − | 9.08714i | 0.639369 | − | 0.639369i | |||||
31.3765 | 2.20220 | |||||||||
0.538009 | − | 22.8442i | 0.0376681 | − | 1.59942i | |||||
4.32497 | 0.302069 | |||||||||
11.9086 | − | 11.9086i | 0.829714 | − | 0.829714i | |||||
4.38336 | + | 1.81565i | 0.304664 | + | 0.126196i | |||||
1.77361i | 0.122978i | |||||||||
−3.45277 | + | 8.33572i | −0.238833 | + | 0.576594i | |||||
12.2150 | − | 5.05964i | 0.842918 | − | 0.349148i | |||||
2.53326 | + | 6.11583i | 0.174397 | + | 0.421031i | 0.986774 | − | 0.162101i | ||
−0.812377 | + | 0.583132i | ||||||||
−14.2120 | − | 14.2120i | −0.976085 | − | 0.976085i | |||||
2.03939 | + | 2.03939i | 0.139736 | + | 0.139736i | |||||
0.560861 | + | 1.35404i | 0.0383397 | + | 0.0925602i | |||||
−6.97271 | + | 2.88819i | −0.475535 | + | 0.196973i | |||||
7.65124 | − | 18.4717i | 0.520601 | − | 1.25684i | |||||
8.75482i | 0.594316i | |||||||||
13.4490 | + | 5.57077i | 0.910884 | + | 0.377300i | |||||
6.07289 | − | 6.07289i | 0.410368 | − | 0.410368i | |||||
8.76714 | 0.591081 | |||||||||
1.87376 | + | 4.84315i | 0.126042 | + | 0.325785i | |||||
16.9841 | 1.13990 | |||||||||
2.08077 | − | 2.08077i | 0.139339 | − | 0.139339i | −0.633997 | − | 0.773336i | ||
0.773336 | + | 0.633997i | ||||||||
12.8792 | + | 5.33474i | 0.860529 | + | 0.356443i | |||||
0.537139i | 0.0358093i | |||||||||
14.4542 | − | 34.8955i | 0.961478 | − | 2.32121i | |||||
−19.8871 | + | 8.23750i | −1.31995 | + | 0.546742i | −0.927772 | − | 0.373147i | ||
−0.392180 | + | 0.919889i | ||||||||
−7.70786 | − | 18.6084i | −0.510466 | − | 1.23237i | |||||
8.44347 | + | 8.44347i | 0.557960 | + | 0.557960i | 0.928726 | − | 0.370766i | ||
−0.370766 | + | 0.928726i | ||||||||
−14.6896 | − | 14.6896i | −0.968601 | − | 0.968601i | |||||
−5.34080 | − | 12.8938i | −0.351399 | − | 0.848351i | |||||
−29.1474 | + | 12.0732i | −1.91362 | + | 0.792647i | |||||
−3.85313 | + | 9.30228i | −0.252427 | + | 0.609412i | −0.998399 | − | 0.0565648i | ||
0.745972 | + | 0.665977i | ||||||||
1.59110i | 0.104014i | |||||||||
10.4696 | + | 4.33664i | 0.682959 | + | 0.282891i | |||||
11.1621 | − | 11.1621i | 0.726590 | − | 0.726590i | |||||
14.1802 | 0.921101 | |||||||||
−34.7267 | − | 0.817856i | −2.25100 | − | 0.0530137i | |||||
−16.6253 | −1.07540 | −0.537701 | − | 0.843135i | ||||||
−0.537701 | + | 0.843135i | ||||||||
−1.56268 | + | 1.56268i | −0.100871 | + | 0.100871i | |||||
5.47122 | + | 2.26625i | 0.352432 | + | 0.145982i | 0.551874 | − | 0.833928i | ||
−0.199442 | + | 0.979910i | ||||||||
11.3755i | 0.731245i | |||||||||
2.10879 | − | 5.09108i | 0.135279 | − | 0.326593i | |||||
0.792397 | − | 0.328221i | 0.0507280 | − | 0.0210122i | |||||
−2.23166 | − | 5.38770i | −0.142575 | − | 0.344208i | |||||
11.2878 | + | 11.2878i | 0.719681 | + | 0.719681i | |||||
3.23668 | + | 3.23668i | 0.205945 | + | 0.205945i | |||||
−3.36873 | − | 8.13284i | −0.213915 | − | 0.516436i | |||||
10.6070 | − | 4.39358i | 0.672194 | − | 0.278432i | |||||
0.900034 | − | 2.17287i | 0.0569231 | − | 0.137425i | |||||
7.77270i | 0.490608i | 0.969446 | + | 0.245304i | ||||||
−0.969446 | + | 0.245304i | ||||||||
−6.27762 | − | 2.60027i | −0.395453 | − | 0.163802i | |||||
−15.5058 | + | 15.5058i | −0.974844 | + | 0.974844i | |||||
13.9182 | 0.873307 | |||||||||
−2.61626 | + | 5.91809i | −0.163836 | + | 0.370605i | |||||
−23.9630 | −1.49768 | |||||||||
−5.70344 | + | 5.70344i | −0.355771 | + | 0.355771i | −0.862251 | − | 0.506481i | ||
0.506481 | + | 0.862251i | ||||||||
−25.7360 | − | 10.6602i | −1.60225 | − | 0.663674i | |||||
− | 16.4833i | − | 1.02422i | |||||||
1.70210 | − | 4.10922i | 0.105559 | − | 0.254843i | |||||
−4.34677 | + | 1.80049i | −0.269058 | + | 0.111448i | |||||
−14.5092 | − | 35.0283i | −0.896382 | − | 2.16406i | |||||
15.0792 | + | 15.0792i | 0.929822 | + | 0.929822i | 0.997694 | − | 0.0678724i | ||
−0.0678724 | + | 0.997694i | ||||||||
9.92273 | + | 9.92273i | 0.610702 | + | 0.610702i | |||||
2.17800 | + | 5.25816i | 0.133794 | + | 0.323006i | |||||
−28.2877 | + | 11.7171i | −1.73443 | + | 0.718424i | |||||
1.31734 | − | 3.18033i | 0.0806197 | − | 0.194633i | |||||
− | 25.5422i | − | 1.56024i | |||||||
3.88200 | + | 1.60798i | 0.236690 | + | 0.0980401i | 0.497876 | − | 0.867248i | ||
−0.261186 | + | 0.965289i | ||||||||
−9.23159 | + | 9.23159i | −0.561816 | + | 0.561816i | |||||
−24.7136 | −1.50124 | −0.750621 | − | 0.660733i | ||||||
−0.750621 | + | 0.660733i | ||||||||
5.41504 | − | 2.09502i | 0.328335 | − | 0.127029i | |||||
−7.08031 | −0.428520 | |||||||||
−28.4913 | + | 28.4913i | −1.72122 | + | 1.72122i | |||||
−2.29362 | − | 0.950048i | −0.138310 | − | 0.0572900i | |||||
− | 48.9527i | − | 2.94661i | |||||||
7.67765 | − | 18.5355i | 0.461305 | − | 1.11369i | −0.506556 | − | 0.862207i | ||
0.967862 | − | 0.251483i | ||||||||
4.63490 | − | 1.91984i | 0.277983 | − | 0.115144i | |||||
−0.502381 | − | 1.21285i | −0.0300768 | − | 0.0726117i | |||||
9.12317 | + | 9.12317i | 0.545214 | + | 0.545214i | |||||
17.8053 | + | 17.8053i | 1.06218 | + | 1.06218i | 0.997934 | + | 0.0642430i | ||
0.0642430 | + | 0.997934i | ||||||||
16.0063 | + | 38.6427i | 0.953164 | + | 2.30114i | |||||
7.84059 | − | 3.24768i | 0.466075 | − | 0.193054i | −0.137272 | − | 0.990533i | ||
0.603347 | + | 0.797479i | ||||||||
−2.48363 | + | 5.99601i | −0.147376 | + | 0.355798i | |||||
5.70351i | 0.337847i | |||||||||
−6.79411 | − | 2.81421i | −0.401744 | − | 0.166408i | |||||
10.9549 | − | 10.9549i | 0.646648 | − | 0.646648i | |||||
−2.09036 | −0.123175 | |||||||||
12.5734 | − | 11.4416i | 0.739611 | − | 0.673035i | |||||
20.6008 | 1.20972 | |||||||||
10.8977 | − | 10.8977i | 0.638833 | − | 0.638833i | |||||
17.8549 | + | 7.39575i | 1.04488 | + | 0.432804i | |||||
− | 25.9873i | − | 1.51820i | −0.650977 | − | 0.759098i | ||||
0.650977 | − | 0.759098i | ||||||||
8.23696 | − | 19.8858i | 0.480389 | − | 1.15976i | |||||
−4.12975 | + | 1.71060i | −0.240443 | + | 0.0995948i | |||||
6.34255 | + | 15.3123i | 0.368653 | + | 0.890008i | |||||
9.74457 | + | 9.74457i | 0.565438 | + | 0.565438i | |||||
30.8302 | + | 30.8302i | 1.78594 | + | 1.78594i | |||||
4.25732 | + | 10.2781i | 0.246207 | + | 0.594397i | |||||
5.12021 | − | 2.12086i | 0.295615 | − | 0.122448i | |||||
−10.3458 | + | 24.9771i | −0.596325 | + | 1.43966i | |||||
20.9616i | 1.20620i | |||||||||
−7.92243 | − | 3.28158i | −0.455132 | − | 0.188522i | |||||
3.61887 | − | 3.61887i | 0.207557 | − | 0.207557i | |||||
−0.242871 | −0.0139067 | |||||||||
4.85782 | − | 1.87943i | 0.277703 | − | 0.107440i | |||||
16.9475 | 0.967245 | 0.483622 | − | 0.875277i | ||||||
0.483622 | + | 0.875277i | ||||||||
22.2067 | − | 22.2067i | 1.26534 | − | 1.26534i | |||||
−10.3823 | − | 4.30048i | −0.590628 | − | 0.244646i | |||||
5.74812i | 0.326471i | |||||||||
−6.57851 | + | 15.8819i | −0.373033 | + | 0.900581i | 0.620200 | + | 0.784444i | ||
−0.993233 | + | 0.116138i | ||||||||
6.57730 | − | 2.72441i | 0.372366 | − | 0.154239i | |||||
−2.26352 | − | 5.46463i | −0.127942 | − | 0.308879i | 0.846909 | − | 0.531738i | ||
−0.974851 | + | 0.222859i | ||||||||
−30.3383 | − | 30.3383i | −1.71209 | − | 1.71209i | |||||
1.36054 | + | 1.36054i | 0.0766579 | + | 0.0766579i | |||||
12.2111 | + | 29.4801i | 0.686926 | + | 1.65839i | |||||
−0.591813 | + | 0.245137i | −0.0332395 | + | 0.0137683i | −0.399241 | − | 0.916846i | ||
0.366002 | + | 0.930614i | ||||||||
−8.03891 | + | 19.4076i | −0.450800 | + | 1.08833i | |||||
− | 21.7455i | − | 1.21752i | |||||||
11.0581 | + | 4.58041i | 0.618166 | + | 0.256053i | |||||
0.691515 | − | 0.691515i | 0.0385966 | − | 0.0385966i | |||||
−74.4157 | −4.14702 | |||||||||
6.05874 | − | 13.7052i | 0.337117 | − | 0.762576i | |||||
−25.0735 | −1.39297 | |||||||||
−0.890588 | + | 0.890588i | −0.0494010 | + | 0.0494010i | |||||
−20.3492 | − | 8.42891i | −1.12704 | − | 0.466834i | |||||
− | 9.71352i | − | 0.537159i | |||||||
−5.96133 | + | 14.3919i | −0.329160 | + | 0.794661i | |||||
37.5033 | − | 15.5344i | 2.06762 | − | 0.856437i | |||||
−3.50659 | − | 8.46565i | −0.193031 | − | 0.466019i | |||||
−8.24547 | − | 8.24547i | −0.453212 | − | 0.453212i | 0.443207 | − | 0.896419i | ||
−0.896419 | + | 0.443207i | ||||||||
18.2682 | + | 18.2682i | 1.00260 | + | 1.00260i | |||||
0.945868 | + | 2.28353i | 0.0518333 | + | 0.125137i | |||||
−20.1672 | + | 8.35352i | −1.10350 | + | 0.457084i | |||||
−2.76786 | + | 6.68222i | −0.151225 | + | 0.365088i | |||||
7.91638i | 0.431874i | |||||||||
28.5300 | + | 11.8175i | 1.55413 | + | 0.643740i | 0.984056 | − | 0.177856i | ||
0.570070 | + | 0.821596i | ||||||||
18.9815 | − | 18.9815i | 1.03246 | − | 1.03246i | |||||
−25.2031 | −1.36885 | |||||||||
−14.5565 | − | 0.342822i | −0.789436 | − | 0.0185922i | |||||
6.06754 | 0.328576 | |||||||||
3.24648 | − | 3.24648i | 0.175550 | − | 0.175550i | |||||
3.86674 | + | 1.60166i | 0.208784 | + | 0.0864813i | |||||
− | 27.1836i | − | 1.46564i | |||||||
−5.30474 | + | 12.8068i | −0.285598 | + | 0.689494i | |||||
−9.34288 | + | 3.86995i | −0.502276 | + | 0.208050i | |||||
−0.00573993 | − | 0.0138574i | −0.000308135 | − | 0.000743905i | 0.923725 | − | 0.383055i | ||
−0.924034 | + | 0.382311i | ||||||||
34.3259 | + | 34.3259i | 1.84006 | + | 1.84006i | |||||
−2.58441 | − | 2.58441i | −0.138340 | − | 0.138340i | 0.634545 | − | 0.772886i | ||
−0.772886 | + | 0.634545i | ||||||||
−3.22403 | − | 7.78350i | −0.172332 | − | 0.416046i | |||||
6.45921 | − | 2.67549i | 0.344767 | − | 0.142807i | |||||
3.69725 | − | 8.92595i | 0.197064 | − | 0.475755i | |||||
3.82333i | 0.203495i | 0.994810 | + | 0.101748i | ||||||
−0.994810 | + | 0.101748i | ||||||||
−15.2427 | − | 6.31374i | −0.810141 | − | 0.335572i | |||||
1.29951 | − | 1.29951i | 0.0689708 | − | 0.0689708i | |||||
7.74622 | 0.410549 | |||||||||
8.36337 | + | 21.6170i | 0.442637 | + | 1.14409i | |||||
−0.276767 | −0.0146276 | |||||||||
−4.73532 | + | 4.73532i | −0.249921 | + | 0.249921i | −0.820938 | − | 0.571017i | ||
0.571017 | + | 0.820938i | ||||||||
−1.78740 | − | 0.740366i | −0.0942044 | − | 0.0390207i | |||||
5.79178i | 0.304830i | |||||||||
−2.09135 | + | 5.04897i | −0.109919 | + | 0.265368i | |||||
7.01272 | − | 2.90476i | 0.368072 | − | 0.152461i | |||||
−6.09712 | − | 14.7197i | −0.319576 | − | 0.771524i | |||||
−3.86968 | − | 3.86968i | −0.202549 | − | 0.202549i | |||||
−0.633869 | − | 0.633869i | −0.0331328 | − | 0.0331328i | |||||
−8.81227 | − | 21.2747i | −0.459997 | − | 1.11053i | −0.968398 | − | 0.249410i | ||
0.508401 | − | 0.861120i | ||||||||
11.4917 | − | 4.76004i | 0.599049 | − | 0.248134i | |||||
−0.889017 | + | 2.14628i | −0.0462804 | + | 0.111731i | |||||
− | 10.8224i | − | 0.562630i | |||||||
18.8354 | + | 7.80187i | 0.977884 | + | 0.405053i | |||||
−9.57776 | + | 9.57776i | −0.496584 | + | 0.496584i | |||||
−23.7303 | −1.22871 | −0.614355 | − | 0.789030i | ||||||
−0.614355 | + | 0.789030i | ||||||||
−0.566816 | + | 24.0674i | −0.0293094 | + | 1.24450i | |||||
−1.56935 | −0.0810409 | |||||||||
−28.8615 | + | 28.8615i | −1.48842 | + | 1.48842i | |||||
−10.1923 | − | 4.22178i | −0.524929 | − | 0.217433i | |||||
46.7662i | 2.40539i | |||||||||
1.13970 | − | 2.75149i | 0.0585427 | − | 0.141335i | −0.891902 | − | 0.452230i | ||
0.950444 | + | 0.310895i | ||||||||
−11.8574 | + | 4.91150i | −0.608272 | + | 0.251955i | |||||
−3.55406 | − | 8.58025i | −0.182080 | − | 0.439580i | |||||
24.3839 | + | 24.3839i | 1.24759 | + | 1.24759i | |||||
−17.2691 | − | 17.2691i | −0.882408 | − | 0.882408i | 0.111371 | − | 0.993779i | ||
−0.993779 | + | 0.111371i | ||||||||
12.2317 | + | 29.5300i | 0.624198 | + | 1.50695i | |||||
−8.21602 | + | 3.40319i | −0.418727 | + | 0.173443i | |||||
7.55674 | − | 18.2436i | 0.384628 | − | 0.928574i | |||||
− | 4.05390i | − | 0.206071i | |||||||
32.0403 | + | 13.2715i | 1.62660 | + | 0.673759i | |||||
−1.19407 | + | 1.19407i | −0.0605418 | + | 0.0605418i | −0.736729 | − | 0.676188i | ||
0.676188 | + | 0.736729i | ||||||||
−4.64870 | −0.235396 | |||||||||
26.3514 | − | 25.1387i | 1.33265 | − | 1.27132i | |||||
21.0043 | 1.06088 | |||||||||
−17.8892 | + | 17.8892i | −0.902389 | + | 0.902389i | |||||
−14.5181 | − | 6.01357i | −0.731409 | − | 0.302960i | |||||
− | 9.03570i | − | 0.454635i | |||||||
−1.80212 | + | 4.35071i | −0.0905601 | + | 0.218631i | |||||
−29.1259 | + | 12.0643i | −1.46178 | + | 0.605491i | −0.964969 | − | 0.262365i | ||
−0.496816 | + | 0.867856i | ||||||||
−16.9853 | − | 41.0060i | −0.851394 | − | 2.05545i | |||||
14.4467 | + | 14.4467i | 0.723238 | + | 0.723238i | |||||
0.995752 | + | 0.995752i | 0.0497876 | + | 0.0497876i | |||||
1.93870 | + | 4.68044i | 0.0968141 | + | 0.233730i | 0.964865 | − | 0.262745i | ||
−0.868051 | + | 0.496474i | ||||||||
−24.6638 | + | 10.2161i | −1.23012 | + | 0.509531i | |||||
1.17798 | − | 2.84390i | 0.0586794 | − | 0.141665i | |||||
− | 19.2964i | − | 0.960029i | |||||||
6.55960 | + | 2.71708i | 0.325949 | + | 0.135013i | |||||
52.1806 | − | 52.1806i | 2.58968 | − | 2.58968i | |||||
−11.4238 | −0.566256 | |||||||||
−16.0871 | − | 16.8632i | −0.796432 | − | 0.834850i | |||||
−26.1178 | −1.29144 | −0.645722 | − | 0.763573i | ||||||
−0.645722 | + | 0.763573i | ||||||||
7.19263 | − | 7.19263i | 0.355219 | − | 0.355219i | |||||
24.8395 | + | 10.2889i | 1.22524 | + | 0.507513i | |||||
− | 25.2877i | − | 1.24584i | |||||||
−6.12757 | + | 14.7933i | −0.301518 | + | 0.727929i | |||||
10.3092 | − | 4.27022i | 0.506671 | − | 0.209870i | |||||
−2.79962 | − | 6.75887i | −0.137428 | − | 0.331780i | |||||
−3.46586 | − | 3.46586i | −0.169928 | − | 0.169928i | |||||
−2.36707 | − | 2.36707i | −0.115916 | − | 0.115916i | |||||
8.12058 | + | 19.6048i | 0.397190 | + | 0.958903i | |||||
6.74298 | − | 2.79303i | 0.329416 | − | 0.136449i | −0.211845 | − | 0.977303i | ||
0.541261 | + | 0.840855i | ||||||||
7.59718 | − | 18.3412i | 0.370704 | − | 0.894960i | |||||
− | 21.0644i | − | 1.02662i | −0.858204 | − | 0.513309i | ||||
0.858204 | − | 0.513309i | ||||||||
14.3838 | + | 5.95798i | 0.700194 | + | 0.290030i | |||||
−4.30413 | + | 4.30413i | −0.209274 | + | 0.209274i | |||||
−20.4993 | −0.995533 | |||||||||
3.77105 | + | 1.66709i | 0.182923 | + | 0.0808660i | |||||
6.78319 | 0.328646 | |||||||||
−0.615178 | + | 0.615178i | −0.0297705 | + | 0.0297705i | |||||
2.03313 | + | 0.842148i | 0.0982749 | + | 0.0407068i | |||||
4.90702i | 0.236913i | |||||||||
−6.79274 | + | 16.3991i | −0.327575 | + | 0.790836i | |||||
−19.4414 | + | 8.05290i | −0.936460 | + | 0.387894i | −0.798126 | − | 0.602491i | ||
−0.138334 | + | 0.990386i | ||||||||
−2.99142 | − | 7.22194i | −0.143925 | − | 0.347466i | |||||
−26.2522 | − | 26.2522i | −1.26160 | − | 1.26160i | −0.950318 | − | 0.311280i | ||
−0.311280 | − | 0.950318i | ||||||||
14.5597 | + | 14.5597i | 0.698886 | + | 0.698886i | |||||
−5.26046 | − | 12.6999i | −0.252220 | − | 0.608912i | |||||
20.1941 | − | 8.36467i | 0.967121 | − | 0.400595i | |||||
12.2848 | − | 29.6580i | 0.587659 | − | 1.41874i | |||||
− | 20.1990i | − | 0.965145i | |||||||
0.435448 | + | 0.180369i | 0.0207828 | + | 0.00860852i | 0.393051 | − | 0.919517i | ||
−0.372268 | + | 0.928125i | ||||||||
6.32282 | − | 6.32282i | 0.301429 | − | 0.301429i | |||||
3.13238 | 0.149161 | |||||||||
11.1705 | + | 4.93823i | 0.531327 | + | 0.234888i | |||||
−11.0249 | −0.523808 | −0.261904 | − | 0.965094i | ||||||
−0.261904 | + | 0.965094i | ||||||||
18.0327 | − | 18.0327i | 0.855795 | − | 0.855795i | |||||
−2.02653 | − | 0.839416i | −0.0960667 | − | 0.0397921i | |||||
− | 6.92084i | − | 0.327711i | |||||||
11.1335 | − | 26.8786i | 0.526596 | − | 1.27132i | |||||
39.6114 | − | 16.4076i | 1.87146 | − | 0.775186i | |||||
6.60636 | + | 15.9492i | 0.311773 | + | 0.752688i | 0.999639 | + | 0.0268500i | ||
−0.687866 | + | 0.725838i | ||||||||
0.893287 | + | 0.893287i | 0.0421100 | + | 0.0421100i | |||||
−7.59232 | − | 7.59232i | −0.357508 | − | 0.357508i | |||||
−21.7033 | − | 52.3965i | −1.02084 | − | 2.46452i | |||||
12.9223 | − | 5.35260i | 0.607143 | − | 0.251487i | |||||
−19.3738 | + | 46.7725i | −0.909257 | + | 2.19514i | |||||
4.51162i | 0.211508i | |||||||||
−18.9792 | − | 7.86144i | −0.888782 | − | 0.368146i | |||||
−7.96742 | + | 7.96742i | −0.372700 | + | 0.372700i | −0.868460 | − | 0.495760i | ||
0.495760 | + | 0.868460i | ||||||||
28.0837 | 1.31227 | |||||||||
−15.7983 | − | 16.5604i | −0.737402 | − | 0.772973i | |||||
−31.1930 | −1.45438 | |||||||||
21.2185 | − | 21.2185i | 0.988244 | − | 0.988244i | −0.0116873 | − | 0.999932i | ||
0.999932 | + | 0.0116873i | ||||||||
−30.3250 | − | 12.5610i | −1.41085 | − | 0.584392i | |||||
17.1592i | 0.797457i | 0.917069 | + | 0.398728i | ||||||
−0.917069 | + | 0.398728i | ||||||||
−4.72031 | + | 11.3958i | −0.219135 | + | 0.529038i | |||||
3.54358 | − | 1.46780i | 0.164329 | − | 0.0680675i | |||||
9.06218 | + | 21.8780i | 0.419798 | + | 1.01348i | |||||
18.8030 | + | 18.8030i | 0.870099 | + | 0.870099i | 0.992483 | − | 0.122384i | ||
−0.122384 | + | 0.992483i | ||||||||
1.68934 | + | 1.68934i | 0.0780896 | + | 0.0780896i | |||||
9.91483 | + | 23.9365i | 0.457824 | + | 1.10529i | |||||
24.6234 | − | 10.1993i | 1.13579 | − | 0.470461i | |||||
−10.9559 | + | 26.4498i | −0.504820 | + | 1.21874i | |||||
− | 16.1001i | − | 0.741066i | |||||||
17.3104 | + | 7.17020i | 0.795933 | + | 0.329686i | |||||
23.5823 | − | 23.5823i | 1.08317 | − | 1.08317i | |||||
3.63431 | 0.166754 | |||||||||
−37.7391 | + | 36.0024i | −1.72977 | + | 1.65017i | |||||
−3.05707 | −0.139974 | |||||||||
−27.6487 | + | 27.6487i | −1.26462 | + | 1.26462i | |||||
−21.1662 | − | 8.76732i | −0.967107 | − | 0.400589i | −0.157473 | − | 0.987523i | ||
−0.809635 | + | 0.586934i | ||||||||
− | 6.10736i | − | 0.278761i | |||||||
−2.21787 | + | 5.35441i | −0.101126 | + | 0.244140i | |||||
12.8678 | − | 5.33000i | 0.586111 | − | 0.242775i | |||||
19.0022 | + | 45.8755i | 0.864632 | + | 2.08741i | |||||
12.0778 | + | 12.0778i | 0.548992 | + | 0.548992i | |||||
−6.94407 | − | 6.94407i | −0.315314 | − | 0.315314i | |||||
−4.95968 | − | 11.9737i | −0.224975 | − | 0.543139i | |||||
14.5174 | − | 6.01330i | 0.657846 | − | 0.272489i | −0.0286857 | − | 0.999588i | ||
0.686532 | + | 0.727100i | ||||||||
0.334761 | − | 0.808185i | 0.0151539 | − | 0.0365848i | |||||
14.6971i | 0.664627i | |||||||||
−12.6713 | − | 5.24864i | −0.572433 | − | 0.237110i | |||||
0.607534 | − | 0.607534i | 0.0274176 | − | 0.0274176i | −0.693265 | − | 0.720683i | ||
0.720683 | + | 0.693265i | ||||||||
23.9693 | 1.08062 | |||||||||
−0.850318 | + | 36.1051i | −0.0382964 | + | 1.62609i | |||||
10.7655 | 0.484362 | |||||||||
0.942926 | − | 0.942926i | 0.0423814 | − | 0.0423814i | |||||
−3.17972 | − | 1.31708i | −0.142773 | − | 0.0591387i | |||||
− | 6.58317i | − | 0.295296i | |||||||
10.3333 | − | 24.9467i | 0.463045 | − | 1.11789i | |||||
−20.9163 | + | 8.66380i | −0.936340 | + | 0.387845i | −0.798080 | − | 0.602551i | ||
−0.138260 | + | 0.990396i | ||||||||
−1.35142 | − | 3.26263i | −0.0604376 | − | 0.145909i | |||||
10.2995 | + | 10.2995i | 0.460147 | + | 0.460147i | |||||
12.9264 | + | 12.9264i | 0.576931 | + | 0.576931i | |||||
6.54963 | + | 15.8122i | 0.292034 | + | 0.705032i | 0.999999 | − | 0.00121517i | ||
−0.707966 | + | 0.706247i | ||||||||
−6.40270 | + | 2.65208i | −0.285199 | + | 0.118133i | |||||
−2.09104 | + | 5.04822i | −0.0930501 | + | 0.224643i | |||||
51.5739i | 2.29274i | |||||||||
−16.5486 | − | 6.85467i | −0.734950 | − | 0.304426i | |||||
14.7775 | − | 14.7775i | 0.655647 | − | 0.655647i | |||||
29.7081 | 1.31679 | 0.658393 | − | 0.752674i | ||||||
0.658393 | + | 0.752674i | ||||||||
5.49111 | + | 14.1930i | 0.243150 | + | 0.628477i | |||||
−19.6034 | −0.867203 | |||||||||
−11.0481 | + | 11.0481i | −0.488263 | + | 0.488263i | |||||
−18.6384 | − | 7.72030i | −0.822907 | − | 0.340859i | |||||
18.9701i | 0.836737i | |||||||||
−2.74030 | + | 6.61566i | −0.120752 | + | 0.291521i | |||||
−38.6432 | + | 16.0066i | −1.70117 | + | 0.704649i | |||||
−10.7661 | − | 25.9917i | −0.473493 | − | 1.14311i | |||||
−27.4125 | − | 27.4125i | −1.20444 | − | 1.20444i | |||||
4.77146 | + | 4.77146i | 0.209444 | + | 0.209444i | |||||
−1.73601 | − | 4.19110i | −0.0761290 | − | 0.183792i | |||||
−35.7139 | + | 14.7932i | −1.56465 | + | 0.648101i | −0.985890 | − | 0.167395i | ||
−0.578764 | + | 0.815495i | ||||||||
−4.23458 | + | 10.2232i | −0.185342 | + | 0.447456i | |||||
0.599508i | 0.0262147i | 0.999914 | + | 0.0131073i | ||||||
−0.999914 | + | 0.0131073i | ||||||||
−52.5960 | − | 21.7860i | −2.29767 | − | 0.951724i | |||||
−3.97508 | + | 3.97508i | −0.173487 | + | 0.173487i | |||||
50.1547 | 2.18685 | |||||||||
−10.0742 | − | 0.237259i | −0.438839 | − | 0.0103352i | |||||
5.48646 | 0.238767 | |||||||||
38.9054 | − | 38.9054i | 1.69154 | − | 1.69154i | |||||
12.3667 | + | 5.12244i | 0.537174 | + | 0.222505i | |||||
− | 2.40101i | − | 0.104195i | |||||||
−17.5936 | + | 42.4747i | −0.762779 | + | 1.84151i | |||||
−5.03258 | + | 2.08456i | −0.217985 | + | 0.0902925i | |||||
−3.09825 | − | 7.47983i | −0.134074 | − | 0.323684i | |||||
−0.440638 | − | 0.440638i | −0.0190504 | − | 0.0190504i | |||||
−18.4209 | − | 18.4209i | −0.795661 | − | 0.795661i | |||||
0.0706732 | + | 0.170620i | 0.00304977 | + | 0.00736281i | |||||
9.13009 | − | 3.78181i | 0.393626 | − | 0.163045i | |||||
−5.54031 | + | 13.3755i | −0.238638 | + | 0.576123i | |||||
19.6031i | 0.843582i | |||||||||
36.6847 | + | 15.1953i | 1.57720 | + | 0.653297i | 0.987966 | − | 0.154668i | ||
0.589231 | + | 0.807965i | ||||||||
−41.0998 | + | 41.0998i | −1.76539 | + | 1.76539i | |||||
3.64660 | 0.156491 | |||||||||
−6.48774 | + | 14.6756i | −0.278160 | + | 0.629211i | |||||
−6.18952 | −0.265130 | |||||||||
−11.7749 | + | 11.7749i | −0.503919 | + | 0.503919i | |||||
−3.73035 | − | 1.54516i | −0.159498 | − | 0.0660663i | 0.301506 | − | 0.953464i | ||
−0.461004 | + | 0.887398i | ||||||||
60.5007i | 2.58446i | |||||||||
0.0499231 | − | 0.120525i | 0.00213067 | − | 0.00514388i | |||||
−5.39437 | + | 2.23442i | −0.230017 | + | 0.0952760i | |||||
12.1822 | + | 29.4105i | 0.518980 | + | 1.25293i | |||||
−35.3045 | − | 35.3045i | −1.50266 | − | 1.50266i | |||||
−22.8869 | − | 22.8869i | −0.973250 | − | 0.973250i | |||||
−18.0571 | − | 43.5937i | −0.767172 | − | 1.85212i | |||||
−6.67175 | + | 2.76353i | −0.283200 | + | 0.117305i | |||||
2.88269 | − | 6.95942i | 0.122253 | − | 0.295145i | |||||
5.42781i | 0.229984i | 0.993366 | + | 0.114992i | ||||||
−0.993366 | + | 0.114992i | ||||||||
−2.85252 | − | 1.18155i | −0.120757 | − | 0.0500190i | |||||
6.72145 | − | 6.72145i | 0.284287 | − | 0.284287i | |||||
5.04437 | 0.213163 | |||||||||
14.9817 | − | 5.79624i | 0.632528 | − | 0.244718i | |||||
59.2222 | 2.49814 | |||||||||
−3.66888 | + | 3.66888i | −0.154625 | + | 0.154625i | −0.780180 | − | 0.625555i | ||
0.625555 | + | 0.780180i | ||||||||
58.0231 | + | 24.0339i | 2.44321 | + | 1.01201i | |||||
16.0596i | 0.675632i | |||||||||
7.63822 | − | 18.4403i | 0.321058 | − | 0.775104i | |||||
23.4973 | − | 9.73290i | 0.986794 | − | 0.408744i | |||||
2.53311 | + | 6.11547i | 0.106287 | + | 0.256600i | |||||
8.48266 | + | 8.48266i | 0.355611 | + | 0.355611i | 0.862192 | − | 0.506581i | ||
−0.506581 | + | 0.862192i | ||||||||
9.48520 | + | 9.48520i | 0.397291 | + | 0.397291i | |||||
−16.6512 | − | 40.1996i | −0.696833 | − | 1.68230i | −0.730539 | − | 0.682871i | ||
0.0337061 | − | 0.999432i | ||||||||
−10.2015 | + | 4.22561i | −0.426548 | + | 0.176682i | |||||
8.80561 | − | 21.2586i | 0.367860 | − | 0.888092i | |||||
− | 36.4371i | − | 1.52085i | |||||||
8.16056 | + | 3.38021i | 0.340319 | + | 0.140965i | |||||
−4.54607 | + | 4.54607i | −0.189420 | + | 0.189420i | |||||
27.7097 | 1.15357 | 0.576784 | − | 0.816897i | ||||||
0.576784 | + | 0.816897i | ||||||||
1.88222 | − | 39.9380i | 0.0782900 | − | 1.66120i | |||||
−13.1764 | −0.547591 | |||||||||
21.8727 | − | 21.8727i | 0.908212 | − | 0.908212i | |||||
−24.2111 | − | 10.0286i | −1.00445 | − | 0.416055i | |||||
− | 36.2467i | − | 1.50247i | |||||||
5.40709 | − | 13.0539i | 0.223939 | − | 0.540636i | |||||
18.2107 | − | 7.54311i | 0.753563 | − | 0.312136i | |||||
−0.258892 | − | 0.625020i | −0.0107039 | − | 0.0258414i | |||||
−43.2181 | − | 43.2181i | −1.78532 | − | 1.78532i | |||||
3.09653 | + | 3.09653i | 0.127808 | + | 0.127808i | 0.768117 | − | 0.640309i | ||
−0.640309 | + | 0.768117i | ||||||||
−12.3680 | − | 29.8590i | −0.510048 | − | 1.23137i | |||||
−8.20624 | + | 3.39914i | −0.338132 | + | 0.140059i | |||||
−4.02316 | + | 9.71276i | −0.165631 | + | 0.399868i | |||||
10.4856i | 0.431320i | |||||||||
5.98668 | + | 2.47976i | 0.246051 | + | 0.101918i | |||||
25.3698 | − | 25.3698i | 1.04181 | − | 1.04181i | 0.0427255 | − | 0.999087i | ||
0.999087 | − | 0.0427255i | ||||||||
32.4114 | 1.32985 | |||||||||
13.7745 | − | 5.32919i | 0.564700 | − | 0.218476i | |||||
65.4673 | 2.68164 | |||||||||
−20.9420 | + | 20.9420i | −0.857099 | + | 0.857099i | |||||
24.1730 | + | 10.0128i | 0.988509 | + | 0.409454i | |||||
− | 11.1415i | − | 0.455230i | −0.973751 | − | 0.227615i | ||||
0.973751 | − | 0.227615i | ||||||||
2.16312 | − | 5.22222i | 0.0883088 | − | 0.213196i | |||||
18.8938 | − | 7.82606i | 0.770693 | − | 0.319232i | 0.0375402 | − | 0.999295i | ||
0.733153 | + | 0.680063i | ||||||||
24.3324 | + | 58.7437i | 0.991716 | + | 2.39421i | |||||
−2.74712 | − | 2.74712i | −0.111871 | − | 0.111871i | |||||
22.2558 | + | 22.2558i | 0.905574 | + | 0.905574i | |||||
−1.85093 | − | 4.46855i | −0.0752512 | − | 0.181672i | |||||
−18.6328 | + | 7.71795i | −0.756905 | + | 0.313520i | |||||
0.602934 | − | 1.45561i | 0.0244723 | − | 0.0590814i | −0.911171 | − | 0.412028i | ||
0.935643 | + | 0.352947i | ||||||||
14.1435i | 0.573593i | |||||||||
−45.4925 | − | 18.8436i | −1.84345 | − | 0.763582i | |||||
−0.403905 | + | 0.403905i | −0.0163536 | + | 0.0163536i | |||||
−14.2727 | −0.577410 | |||||||||
3.16227 | − | 7.15321i | 0.127827 | − | 0.289151i | |||||
−22.4800 | −0.907959 | −0.453980 | − | 0.891012i | ||||||
−0.453980 | + | 0.891012i | ||||||||
28.1845 | − | 28.1845i | 1.13743 | − | 1.13743i | |||||
−6.27074 | − | 2.59743i | −0.252861 | − | 0.104738i | |||||
− | 32.0307i | − | 1.29055i | |||||||
10.4081 | − | 25.1273i | 0.419013 | − | 1.01159i | −0.563621 | − | 0.826034i | ||
0.982634 | − | 0.185554i | ||||||||
−24.4181 | + | 10.1143i | −0.982241 | + | 0.406858i | |||||
5.49924 | + | 13.2763i | 0.221033 | + | 0.533621i | 0.995031 | − | 0.0995671i | ||
−0.773998 | + | 0.633188i | ||||||||
6.10301 | + | 6.10301i | 0.245103 | + | 0.245103i | |||||
−34.6706 | − | 34.6706i | −1.39128 | − | 1.39128i | |||||
15.4720 | + | 37.3527i | 0.620371 | + | 1.49771i | |||||
−7.25927 | + | 3.00689i | −0.290837 | + | 0.120469i | |||||
1.06517 | − | 2.57154i | 0.0426408 | − | 0.102944i | |||||
1.00000i | 0.0400000i | |||||||||
−12.8523 | − | 5.32358i | −0.513680 | − | 0.212773i | |||||
10.0123 | − | 10.0123i | 0.399852 | − | 0.399852i | |||||
−64.4228 | −2.57075 | |||||||||
18.9674 | + | 0.446705i | 0.756280 | + | 0.0178113i | |||||
4.52529 | 0.180292 | |||||||||
−16.4538 | + | 16.4538i | −0.655014 | + | 0.655014i | −0.954196 | − | 0.299182i | ||
0.299182 | + | 0.954196i | ||||||||
30.0675 | + | 12.4544i | 1.19602 | + | 0.495408i | |||||
− | 10.3887i | − | 0.412913i | |||||||
−0.576538 | + | 1.39189i | −0.0228972 | + | 0.0552788i | |||||
−5.46739 | + | 2.26467i | −0.216967 | + | 0.0898706i | |||||
12.0706 | + | 29.1411i | 0.478632 | + | 1.15552i | |||||
5.19356 | + | 5.19356i | 0.205776 | + | 0.205776i | |||||
−36.1638 | − | 36.1638i | −1.43174 | − | 1.43174i | |||||
0.377764 | + | 0.912004i | 0.0149441 | + | 0.0360783i | |||||
18.8167 | − | 7.79414i | 0.743796 | − | 0.308090i | |||||
−2.06038 | + | 4.97419i | −0.0813800 | + | 0.196469i | −0.959332 | − | 0.282280i | ||
0.877952 | + | 0.478748i | ||||||||
− | 2.30004i | − | 0.0907754i | |||||||
14.9568 | + | 6.19532i | 0.589839 | + | 0.244319i | 0.657582 | − | 0.753383i | ||
−0.0677421 | + | 0.997703i | ||||||||
−79.0101 | + | 79.0101i | −3.11343 | + | 3.11343i | |||||
11.8442 | 0.466365 | |||||||||
−12.7163 | − | 32.8683i | −0.500318 | − | 1.29319i | |||||
−25.8383 | −1.01581 | −0.507904 | − | 0.861413i | ||||||
−0.507904 | + | 0.861413i | ||||||||
−18.0829 | + | 18.0829i | −0.710362 | + | 0.710362i | |||||
10.2525 | + | 4.24672i | 0.402445 | + | 0.166698i | |||||
2.96218i | 0.116186i | |||||||||
5.25783 | − | 12.6935i | 0.206071 | − | 0.497499i | |||||
−30.5548 | + | 12.6562i | −1.19662 | + | 0.495656i | |||||
−4.77529 | − | 11.5286i | −0.186872 | − | 0.451148i | 0.802483 | − | 0.596675i | ||
−0.989354 | + | 0.145528i | ||||||||
−16.1540 | − | 16.1540i | −0.631672 | − | 0.631672i | |||||
11.3991 | + | 11.3991i | 0.445399 | + | 0.445399i | |||||
2.33072 | + | 5.62685i | 0.0909992 | + | 0.219691i | |||||
2.71577 | − | 1.12491i | 0.105952 | − | 0.0438868i | |||||
36.5353 | − | 88.2040i | 1.42429 | − | 3.43855i | |||||
41.7109i | 1.62483i | 0.583082 | + | 0.812413i | ||||||
−0.583082 | + | 0.812413i | ||||||||
−12.7114 | − | 5.26523i | −0.494791 | − | 0.204949i | |||||
−12.8495 | + | 12.8495i | −0.499789 | + | 0.499789i | −0.911372 | − | 0.411583i | ||
0.411583 | + | 0.911372i | ||||||||
−27.4252 | −1.06591 | |||||||||
0.191880 | − | 8.14734i | 0.00745199 | − | 0.316417i | |||||
26.3499 | 1.02257 | |||||||||
9.20551 | − | 9.20551i | 0.356974 | − | 0.356974i | |||||
5.37063 | + | 2.22459i | 0.208108 | + | 0.0862011i | |||||
77.3693i | 2.99575i | |||||||||
−12.5430 | + | 30.2815i | −0.485304 | + | 1.17163i | |||||
−4.26653 | + | 1.76726i | −0.164954 | + | 0.0683260i | |||||
6.50975 | + | 15.7159i | 0.251493 | + | 0.607159i | |||||
0.426350 | + | 0.426350i | 0.0164590 | + | 0.0164590i | |||||
−15.4696 | − | 15.4696i | −0.596753 | − | 0.596753i | |||||
2.44794 | + | 5.90984i | 0.0943610 | + | 0.227808i | 0.964012 | − | 0.265860i | ||
−0.869651 | + | 0.493668i | ||||||||
67.0997 | − | 27.7936i | 2.58458 | − | 1.07057i | |||||
2.12428 | − | 5.12847i | 0.0817636 | − | 0.197395i | |||||
− | 40.3069i | − | 1.55026i | |||||||
−38.7001 | − | 16.0301i | −1.48737 | − | 0.616087i | −0.516624 | − | 0.856212i | ||
−0.970742 | + | 0.240125i | ||||||||
−41.9140 | + | 41.9140i | −1.60970 | + | 1.60970i | |||||
−35.1779 | −1.35000 | |||||||||
−10.7453 | + | 10.2508i | −0.412064 | + | 0.393101i | |||||
33.7812 | 1.29450 | |||||||||
10.0906 | − | 10.0906i | 0.386389 | − | 0.386389i | |||||
27.9994 | + | 11.5977i | 1.07137 | + | 0.443775i | 0.847473 | − | 0.530838i | ||
0.223895 | + | 0.974613i | ||||||||
− | 6.89384i | − | 0.263593i | |||||||
6.55613 | − | 15.8279i | 0.250497 | − | 0.604753i | |||||
9.09419 | − | 3.76694i | 0.347218 | − | 0.143822i | |||||
−7.17126 | − | 17.3130i | −0.273601 | − | 0.660530i | |||||
−7.51514 | − | 7.51514i | −0.286512 | − | 0.286512i | |||||
−5.06869 | − | 5.06869i | −0.193102 | − | 0.193102i | |||||
12.4762 | + | 30.1203i | 0.474962 | + | 1.14666i | |||||
5.35185 | − | 2.21681i | 0.203594 | − | 0.0843314i | −0.278556 | − | 0.960420i | ||
0.482150 | + | 0.876088i | ||||||||
−5.81083 | + | 14.0286i | −0.220895 | + | 0.533287i | |||||
− | 4.77676i | − | 0.181454i | |||||||
−0.0325913 | − | 0.0134997i | −0.00123715 | − | 0.000512443i | |||||
−1.50831 | + | 1.50831i | −0.0572135 | + | 0.0572135i | |||||
49.5113 | 1.87672 | |||||||||
12.3090 | + | 12.9027i | 0.466236 | + | 0.488726i | |||||
−8.59600 | −0.325363 | |||||||||
11.1732 | − | 11.1732i | 0.422611 | − | 0.422611i | |||||
−11.6871 | − | 4.84097i | −0.441732 | − | 0.182971i | |||||
− | 5.24783i | − | 0.198208i | −0.995077 | − | 0.0991039i | ||||
0.995077 | − | 0.0991039i | ||||||||
6.29250 | − | 15.1914i | 0.237495 | − | 0.573364i | |||||
15.4505 | − | 6.39979i | 0.582726 | − | 0.241373i | |||||
−11.3713 | − | 27.4527i | −0.428572 | − | 1.03466i | |||||
−12.5753 | − | 12.5753i | −0.473613 | − | 0.473613i | |||||
6.35837 | + | 6.35837i | 0.239300 | + | 0.239300i | |||||
7.49037 | + | 18.0833i | 0.281704 | + | 0.680094i | |||||
−22.8873 | + | 9.48025i | −0.860159 | + | 0.356290i | |||||
15.9798 | − | 38.5786i | 0.600134 | − | 1.44885i | −0.273310 | − | 0.961926i | ||
0.873444 | − | 0.486925i | ||||||||
− | 4.32229i | − | 0.162213i | |||||||
4.48398 | + | 1.85733i | 0.168162 | + | 0.0696551i | |||||
5.58654 | − | 5.58654i | 0.209364 | − | 0.209364i | |||||
−21.5879 | −0.808475 | |||||||||
49.8588 | + | 22.0414i | 1.86592 | + | 0.824880i | |||||
3.12678 | 0.116935 | |||||||||
−0.293855 | + | 0.293855i | −0.0109819 | + | 0.0109819i | |||||
24.1049 | + | 9.98458i | 0.900214 | + | 0.372881i | |||||
15.7501i | 0.587789i | |||||||||
3.89643 | − | 9.40681i | 0.145312 | − | 0.350815i | −0.834419 | − | 0.551130i | ||
0.979731 | + | 0.200316i | ||||||||
−0.698825 | + | 0.289463i | −0.0260437 | + | 0.0107876i | |||||
9.81608 | + | 23.6981i | 0.365570 | + | 0.882564i | |||||
9.63199 | + | 9.63199i | 0.358465 | + | 0.358465i | |||||
−6.57164 | − | 6.57164i | −0.244402 | − | 0.244402i | |||||
3.14022 | + | 7.58117i | 0.116705 | + | 0.281752i | |||||
−8.09244 | + | 3.35200i | −0.300546 | + | 0.124490i | |||||
6.83172 | − | 16.4932i | 0.253549 | − | 0.612121i | |||||
46.0182i | 1.70672i | 0.521321 | + | 0.853361i | ||||||
−0.521321 | + | 0.853361i | ||||||||
−15.0130 | − | 6.21860i | −0.556420 | − | 0.230477i | |||||
−21.1766 | + | 21.1766i | −0.784317 | + | 0.784317i | |||||
−12.8709 | −0.476374 | |||||||||
−28.4609 | − | 12.5819i | −1.05266 | − | 0.465358i | |||||
−1.34601 | −0.0497498 | |||||||||
−1.80962 | + | 1.80962i | −0.0668398 | + | 0.0668398i | −0.739736 | − | 0.672897i | ||
0.672897 | + | 0.739736i | ||||||||
−50.0360 | − | 20.7256i | −1.84686 | − | 0.764996i | |||||
9.15184i | 0.337571i | |||||||||
−13.1546 | + | 31.7580i | −0.484885 | + | 1.17062i | |||||
16.5892 | − | 6.87149i | 0.611072 | − | 0.253114i | |||||
2.09088 | + | 5.04783i | 0.0769664 | + | 0.185813i | |||||
1.75127 | + | 1.75127i | 0.0644215 | + | 0.0644215i | 0.738583 | − | 0.674162i | ||
−0.674162 | + | 0.738583i | ||||||||
−11.4906 | − | 11.4906i | −0.422402 | − | 0.422402i | |||||
−2.74899 | − | 6.63666i | −0.100987 | − | 0.243804i | |||||
44.2989 | − | 18.3492i | 1.62627 | − | 0.673621i | |||||
0.610291 | − | 1.47337i | 0.0223894 | − | 0.0540528i | −0.912289 | − | 0.409546i | ||
0.934679 | + | 0.355493i | ||||||||
13.8149i | 0.506478i | |||||||||
−17.1272 | − | 7.09433i | −0.627493 | − | 0.259916i | |||||
−39.4646 | + | 39.4646i | −1.44490 | + | 1.44490i | |||||
3.92957 | 0.143776 | |||||||||
24.9515 | + | 26.1551i | 0.912317 | + | 0.956326i | |||||
−2.23222 | −0.0815636 | |||||||||
−2.60990 | + | 2.60990i | −0.0953001 | + | 0.0953001i | |||||
11.7741 | + | 4.87697i | 0.429641 | + | 0.177963i | 0.587015 | − | 0.809576i | ||
−0.157374 | + | 0.987539i | ||||||||
15.9580i | 0.581930i | |||||||||
4.66801 | − | 11.2696i | 0.170112 | − | 0.410686i | |||||
−23.9713 | + | 9.92922i | −0.872982 | + | 0.361601i | |||||
−3.41071 | − | 8.23418i | −0.124128 | − | 0.299672i | |||||
49.6535 | + | 49.6535i | 1.80588 | + | 1.80588i | |||||
−32.5674 | − | 32.5674i | −1.18368 | − | 1.18368i | −0.978783 | − | 0.204901i | ||
−0.204901 | − | 0.978783i | ||||||||
−2.68047 | − | 6.47123i | −0.0973592 | − | 0.235046i | |||||
31.7940 | − | 13.1695i | 1.15405 | − | 0.478023i | |||||
−5.00936 | + | 12.0937i | −0.181709 | + | 0.438683i | |||||
− | 29.7003i | − | 1.07664i | −0.842742 | − | 0.538318i | ||||
0.842742 | − | 0.538318i | ||||||||
−20.1799 | − | 8.35879i | −0.731041 | − | 0.302807i | |||||
−15.6777 | + | 15.6777i | −0.567571 | + | 0.567571i | |||||
51.7788 | 1.87329 | |||||||||
−1.60245 | + | 1.52871i | −0.0579368 | + | 0.0552706i | |||||
−57.4385 | −2.07534 | |||||||||
3.98093 | − | 3.98093i | 0.143743 | − | 0.143743i | |||||
34.7437 | + | 14.3913i | 1.25370 | + | 0.519301i | |||||
− | 43.8299i | − | 1.58055i | −0.612755 | − | 0.790273i | ||||
0.612755 | − | 0.790273i | ||||||||
−8.00397 | + | 19.3233i | −0.288443 | + | 0.696363i | |||||
11.6946 | − | 4.84408i | 0.421172 | − | 0.174455i | |||||
−11.3466 | − | 27.3932i | −0.408375 | − | 0.985904i | |||||
19.7369 | + | 19.7369i | 0.709887 | + | 0.709887i | 0.966511 | − | 0.256624i | ||
−0.256624 | + | 0.966511i | ||||||||
−6.74182 | − | 6.74182i | −0.242330 | − | 0.242330i | |||||
−0.935290 | − | 2.25799i | −0.0335966 | − | 0.0811094i | |||||
32.6787 | − | 13.5359i | 1.17310 | − | 0.485912i | |||||
−9.89930 | + | 23.8990i | −0.355135 | + | 0.857372i | |||||
3.97159i | 0.142388i | |||||||||
14.5218 | + | 6.01513i | 0.520298 | + | 0.215515i | |||||
−4.93571 | + | 4.93571i | −0.176727 | + | 0.176727i | |||||
−4.56247 | −0.163258 | |||||||||
2.01670 | − | 85.6304i | 0.0721170 | − | 3.06214i | |||||
48.6224 | 1.73762 | |||||||||
5.80684 | − | 5.80684i | 0.207387 | − | 0.207387i | |||||
16.8540 | + | 6.98115i | 0.601545 | + | 0.249168i | |||||
59.5010i | 2.12233i | |||||||||
11.4892 | − | 27.7373i | 0.409544 | − | 0.988728i | −0.575713 | − | 0.817652i | ||
0.985258 | − | 0.171076i | ||||||||
−21.7992 | + | 9.02954i | −0.776566 | + | 0.321664i | |||||
−12.8071 | − | 30.9192i | −0.455946 | − | 1.10075i | |||||
−15.0268 | − | 15.0268i | −0.534629 | − | 0.534629i | |||||
40.6781 | + | 40.6781i | 1.44635 | + | 1.44635i | |||||
1.83803 | + | 4.43740i | 0.0653115 | + | 0.157676i | |||||
0.282607 | − | 0.117060i | 0.0100357 | − | 0.00415691i | |||||
−28.3741 | + | 68.5012i | −1.00696 | + | 2.43102i | |||||
− | 8.93178i | − | 0.316778i | |||||||
−61.5717 | − | 25.5038i | −2.18235 | − | 0.903959i | |||||
3.65013 | − | 3.65013i | 0.129294 | − | 0.129294i | −0.639498 | − | 0.768793i | ||
0.768793 | + | 0.639498i | ||||||||
48.0509 | 1.70099 | |||||||||
16.8591 | + | 43.5761i | 0.596432 | + | 1.54161i | |||||
−3.89165 | −0.137591 | |||||||||
0.833123 | − | 0.833123i | 0.0294370 | − | 0.0294370i | |||||
11.0079 | + | 4.55963i | 0.388704 | + | 0.161006i | |||||
13.5861i | 0.479445i | |||||||||
−15.3397 | + | 37.0333i | −0.540990 | + | 1.30606i | |||||
29.2321 | − | 12.1083i | 1.03030 | − | 0.426763i | |||||
−2.77050 | − | 6.68857i | −0.0975866 | − | 0.235595i | |||||
−4.66278 | − | 4.66278i | −0.164138 | − | 0.164138i | |||||
−13.9164 | − | 13.9164i | −0.489579 | − | 0.489579i | |||||
8.50871 | + | 20.5418i | 0.299150 | + | 0.722213i | 0.999961 | + | 0.00886509i | ||
−0.700810 | + | 0.713348i | ||||||||
15.4275 | − | 6.39030i | 0.542069 | − | 0.224532i | |||||
−5.99450 | + | 14.4720i | −0.210495 | + | 0.508181i | −0.993500 | − | 0.113836i | ||
0.783004 | + | 0.622016i | ||||||||
− | 110.804i | − | 3.88847i | |||||||
35.8320 | + | 14.8421i | 1.25668 | + | 0.520535i | |||||
−18.9983 | + | 18.9983i | −0.665889 | + | 0.665889i | |||||
9.36510 | 0.328045 | |||||||||
−9.10941 | − | 0.214537i | −0.318893 | − | 0.00751031i | |||||
−27.4289 | −0.959615 | |||||||||
−43.4351 | + | 43.4351i | −1.51867 | + | 1.51867i | |||||
−2.23890 | − | 0.927383i | −0.0782335 | − | 0.0324054i | |||||
− | 15.2734i | − | 0.533370i | |||||||
13.3707 | − | 32.2797i | 0.466640 | − | 1.12657i | −0.498981 | − | 0.866613i | ||
0.965621 | − | 0.259955i | ||||||||
58.4201 | − | 24.1984i | 2.03764 | − | 0.844017i | |||||
0.935339 | + | 2.25811i | 0.0326039 | + | 0.0787127i | 0.939343 | − | 0.342980i | ||
−0.906739 | + | 0.421692i | ||||||||
−18.2374 | − | 18.2374i | −0.635330 | − | 0.635330i | |||||
2.75493 | + | 2.75493i | 0.0959144 | + | 0.0959144i | |||||
14.4114 | + | 34.7923i | 0.501438 | + | 1.21058i | |||||
−46.9533 | + | 19.4487i | −1.63273 | + | 0.676298i | −0.995534 | − | 0.0944054i | ||
−0.637194 | + | 0.770703i | ||||||||
6.41185 | − | 15.4796i | 0.222827 | − | 0.537952i | |||||
41.5846i | 1.44429i | 0.691740 | + | 0.722147i | ||||||
−0.691740 | + | 0.722147i | ||||||||
−15.8962 | − | 6.58442i | −0.551765 | − | 0.228549i | |||||
−22.2635 | + | 22.2635i | −0.772313 | + | 0.772313i | |||||
−15.0750 | −0.522631 | |||||||||
9.72184 | − | 21.9913i | 0.336842 | − | 0.761952i | |||||
−7.87308 | −0.272623 | |||||||||
6.56289 | − | 6.56289i | 0.227118 | − | 0.227118i | |||||
29.4371 | + | 12.1933i | 1.01810 | + | 0.421713i | |||||
13.5668i | 0.468939i | |||||||||
6.56894 | − | 15.8588i | 0.226920 | − | 0.547834i | |||||
4.10912 | − | 1.70205i | 0.141863 | − | 0.0587614i | −0.310623 | − | 0.950533i | ||
0.452485 | + | 0.891772i | ||||||||
−7.74855 | − | 18.7067i | −0.267350 | − | 0.645441i | |||||
−33.7456 | − | 33.7456i | −1.16364 | − | 1.16364i | |||||
−35.0311 | − | 35.0311i | −1.20725 | − | 1.20725i | |||||
−15.1225 | − | 36.5090i | −0.520848 | − | 1.25744i | |||||
21.5977 | − | 8.94607i | 0.743424 | − | 0.307936i | |||||
−4.36784 | + | 10.5449i | −0.150258 | + | 0.362755i | |||||
14.3159i | 0.492191i | |||||||||
−16.0069 | − | 6.63027i | −0.550004 | − | 0.227819i | |||||
−5.66721 | + | 5.66721i | −0.194613 | + | 0.194613i | |||||
−13.3184 | −0.457088 | |||||||||
9.04388 | − | 3.49897i | 0.310202 | − | 0.120014i | |||||
40.6451 | 1.39330 | |||||||||
7.20198 | − | 7.20198i | 0.246736 | − | 0.246736i | |||||
16.5251 | + | 6.84491i | 0.565808 | + | 0.234365i | 0.647204 | − | 0.762317i | ||
−0.0813967 | + | 0.996682i | ||||||||
2.04614i | 0.0700174i | |||||||||
−0.747048 | + | 1.80353i | −0.0255485 | + | 0.0616796i | |||||
2.07363 | − | 0.858928i | 0.0708754 | − | 0.0293575i | |||||
14.7557 | + | 35.6234i | 0.504045 | + | 1.21687i | 0.947263 | + | 0.320458i | ||
−0.443218 | + | 0.896414i | ||||||||
8.16060 | + | 8.16060i | 0.278598 | + | 0.278598i | |||||
2.48184 | + | 2.48184i | 0.0846792 | + | 0.0846792i | 0.748178 | − | 0.663498i | ||
−0.663498 | + | 0.748178i | ||||||||
10.1995 | + | 24.6237i | 0.347799 | + | 0.839662i | |||||
−22.4626 | + | 9.30430i | −0.765522 | + | 0.317090i | |||||
−18.9396 | + | 45.7243i | −0.645086 | + | 1.55738i | |||||
− | 21.9552i | − | 0.747365i | −0.927557 | − | 0.373683i | ||||
0.927557 | − | 0.373683i | ||||||||
19.9582 | + | 8.26695i | 0.678991 | + | 0.281247i | |||||
3.04040 | − | 3.04040i | 0.103377 | − | 0.103377i | |||||
−87.3171 | −2.96715 | |||||||||
−25.1014 | + | 9.03793i | −0.852490 | + | 0.306944i | |||||
30.9171 | 1.04940 | |||||||||
−15.8618 | + | 15.8618i | −0.538075 | + | 0.538075i | |||||
−29.8689 | − | 12.3721i | −1.01265 | − | 0.419453i | |||||
− | 9.10956i | − | 0.308666i | |||||||
8.53133 | − | 20.5964i | 0.288907 | − | 0.697484i | |||||
4.87339 | − | 2.01862i | 0.164939 | − | 0.0683200i | |||||
−28.8925 | − | 69.7528i | −0.977305 | − | 2.35942i | |||||
2.53294 | + | 2.53294i | 0.0856291 | + | 0.0856291i | |||||
−21.4461 | − | 21.4461i | −0.724596 | − | 0.724596i | |||||
2.16444 | + | 5.22542i | 0.0730879 | + | 0.176450i | 0.956201 | − | 0.292710i | ||
−0.883113 | + | 0.469159i | ||||||||
1.02413 | − | 0.424209i | 0.0345628 | − | 0.0143164i | |||||
−15.6071 | + | 37.6788i | −0.526413 | + | 1.27087i | |||||
− | 3.49601i | − | 0.117850i | |||||||
31.7736 | + | 13.1611i | 1.07048 | + | 0.443407i | 0.847160 | − | 0.531338i | ||
0.223320 | + | 0.974745i | ||||||||
5.20930 | − | 5.20930i | 0.175406 | − | 0.175406i | |||||
−58.3115 | −1.96234 | −0.981170 | − | 0.193148i | ||||||
−0.981170 | + | 0.193148i | ||||||||
17.1033 | − | 6.61706i | 0.575246 | − | 0.222556i | |||||
7.01500 | 0.235807 | |||||||||
−18.3349 | + | 18.3349i | −0.615973 | + | 0.615973i | |||||
41.1137 | + | 17.0299i | 1.38046 | + | 0.571807i | 0.944605 | − | 0.328208i | ||
0.435859 | + | 0.900015i | ||||||||
− | 26.0102i | − | 0.872846i | |||||||
−8.11232 | + | 19.5849i | −0.272078 | + | 0.656855i | |||||
−4.76620 | + | 1.97422i | −0.159763 | + | 0.0661761i | |||||
−6.74540 | − | 16.2848i | −0.225979 | − | 0.545563i | |||||
−7.34813 | − | 7.34813i | −0.246034 | − | 0.246034i | |||||
29.1220 | + | 29.1220i | 0.974529 | + | 0.974529i | |||||
−26.1849 | − | 63.2159i | −0.875754 | − | 2.11426i | |||||
0.108720 | − | 0.0450334i | 0.00363412 | − | 0.00150530i | |||||
27.9196 | − | 67.4038i | 0.932727 | − | 2.25180i | |||||
− | 17.4589i | − | 0.582935i | |||||||
37.5109 | + | 15.5375i | 1.25175 | + | 0.518494i | |||||
15.1376 | − | 15.1376i | 0.504866 | − | 0.504866i | |||||
1.89688 | 0.0632292 | |||||||||
−9.48808 | + | 21.4625i | −0.316094 | + | 0.715019i | |||||
−25.2527 | −0.840824 | |||||||||
30.0007 | − | 30.0007i | 0.998361 | − | 0.998361i | |||||
−53.4405 | − | 22.1358i | −1.77740 | − | 0.736225i | |||||
− | 2.32364i | − | 0.0772404i | |||||||
12.5888 | − | 30.3920i | 0.418234 | − | 1.00971i | |||||
−32.6800 | + | 13.5365i | −1.08512 | + | 0.449472i | −0.852303 | − | 0.523048i | ||
−0.232819 | + | 0.972520i | ||||||||
29.0903 | + | 70.2301i | 0.965394 | + | 2.33067i | |||||
−2.07537 | − | 2.07537i | −0.0688355 | − | 0.0688355i | |||||
7.50303 | + | 7.50303i | 0.248723 | + | 0.248723i | |||||
−18.8207 | − | 45.4373i | −0.623559 | − | 1.50540i | −0.847496 | − | 0.530801i | ||
0.223937 | − | 0.974604i | ||||||||
−7.42034 | + | 3.07361i | −0.245712 | + | 0.101777i | |||||
−6.95031 | + | 16.7795i | −0.230022 | + | 0.555322i | |||||
26.5004i | 0.876554i | |||||||||
0.352136 | + | 0.145859i | 0.0116413 | + | 0.00482197i | |||||
29.8176 | − | 29.8176i | 0.985202 | − | 0.985202i | |||||
57.7465 | 1.90696 | |||||||||
−53.8140 | − | 1.26738i | −1.77613 | − | 0.0418299i | |||||
49.6635 | 1.63825 | 0.819123 | − | 0.573618i | ||||||
0.819123 | + | 0.573618i | ||||||||
−22.4962 | + | 22.4962i | −0.741679 | + | 0.741679i | |||||
−24.5720 | − | 10.1781i | −0.809676 | − | 0.335379i | |||||
− | 70.5747i | − | 2.32425i | |||||||
−0.885781 | + | 2.13846i | −0.0291558 | + | 0.0703884i | |||||
−45.5338 | + | 18.8607i | −1.49795 | + | 0.620472i | |||||
1.76094 | + | 4.25128i | 0.0578993 | + | 0.139781i | |||||
28.5366 | + | 28.5366i | 0.937770 | + | 0.937770i | |||||
−2.71975 | − | 2.71975i | −0.0893284 | − | 0.0893284i | |||||
−13.0448 | − | 31.4929i | −0.428216 | − | 1.03381i | |||||
−31.5196 | + | 13.0558i | −1.03412 | + | 0.428348i | −0.834199 | − | 0.551463i | ||
−0.199924 | + | 0.979811i | ||||||||
3.45212 | − | 8.33415i | 0.113199 | − | 0.273287i | |||||
− | 21.1939i | − | 0.694601i | |||||||
32.8505 | + | 13.6071i | 1.07605 | + | 0.445716i | |||||
19.0762 | − | 19.0762i | 0.624528 | − | 0.624528i | |||||
62.5405 | 2.04639 | |||||||||
−3.69340 | − | 9.54644i | −0.120787 | − | 0.312202i | |||||
2.43668 | 0.0796455 | |||||||||
−27.2430 | + | 27.2430i | −0.889991 | + | 0.889991i | −0.994522 | − | 0.104530i | ||
0.104530 | + | 0.994522i | ||||||||
56.2964 | + | 23.3187i | 1.83814 | + | 0.761383i | |||||
9.28250i | 0.302923i | |||||||||
15.3146 | − | 36.9727i | 0.499507 | − | 1.20592i | |||||
34.3095 | − | 14.2115i | 1.11846 | − | 0.463280i | 0.254615 | − | 0.967043i | ||
0.863842 | + | 0.503762i | ||||||||
25.7671 | + | 62.2074i | 0.839539 | + | 2.02683i | |||||
27.0130 | + | 27.0130i | 0.879665 | + | 0.879665i | |||||
−4.45102 | − | 4.45102i | −0.144868 | − | 0.144868i | |||||
−7.60943 | − | 18.3708i | −0.247535 | − | 0.597602i | |||||
40.7124 | − | 16.8636i | 1.32367 | − | 0.548283i | |||||
−0.853817 | + | 2.06130i | −0.0277453 | + | 0.0669832i | −0.937145 | − | 0.348940i | ||
0.909400 | + | 0.415923i | ||||||||
− | 50.0765i | − | 1.62641i | |||||||
6.36792 | + | 2.63768i | 0.206712 | + | 0.0856227i | |||||
6.04403 | − | 6.04403i | 0.196094 | − | 0.196094i | |||||
1.00528 | 0.0325986 | |||||||||
−1.25250 | + | 53.1820i | −0.0405938 | + | 1.72364i | |||||
25.8280 | 0.836651 | 0.418326 | − | 0.908297i | ||||||
0.418326 | + | 0.908297i | ||||||||
−5.08404 | + | 5.08404i | −0.164602 | + | 0.164602i | |||||
−13.5461 | − | 5.61099i | −0.438342 | − | 0.181567i | |||||
58.7114i | 1.89886i | |||||||||
−13.0596 | + | 31.5286i | −0.422157 | + | 1.01918i | |||||
−49.7808 | + | 20.6199i | −1.60834 | + | 0.666198i | |||||
−23.4849 | − | 56.6975i | −0.758366 | − | 1.83086i | |||||
−13.2822 | − | 13.2822i | −0.428681 | − | 0.428681i | |||||
−17.6966 | − | 17.6966i | −0.570857 | − | 0.570857i | |||||
5.21621 | + | 12.5930i | 0.168177 | + | 0.406016i | |||||
0.309242 | − | 0.128092i | 0.00996519 | − | 0.00412772i | |||||
8.00314 | − | 19.3213i | 0.257764 | − | 0.622297i | |||||
8.39606i | 0.270279i | |||||||||
107.895 | + | 44.6914i | 3.47145 | + | 1.43792i | |||||
22.2041 | − | 22.2041i | 0.714035 | − | 0.714035i | −0.253341 | − | 0.967377i | ||
0.967377 | + | 0.253341i | ||||||||
17.4209 | 0.559930 | |||||||||
−17.0153 | + | 16.2323i | −0.546612 | + | 0.521457i | |||||
−23.0966 | −0.741587 | |||||||||
29.0808 | − | 29.0808i | 0.933248 | − | 0.933248i | −0.0646590 | − | 0.997907i | ||
0.997907 | + | 0.0646590i | ||||||||
−17.9789 | − | 7.44709i | −0.576672 | − | 0.238865i | |||||
7.64093i | 0.244957i | |||||||||
14.1427 | − | 34.1435i | 0.453161 | − | 1.09403i | |||||
1.82611 | − | 0.756400i | 0.0584824 | − | 0.0242242i | |||||
−0.130882 | − | 0.315978i | −0.00418944 | − | 0.0101142i | |||||
−19.7205 | − | 19.7205i | −0.630916 | − | 0.630916i | 0.317382 | − | 0.948298i | ||
−0.948298 | + | 0.317382i | ||||||||
24.4420 | + | 24.4420i | 0.781569 | + | 0.781569i | |||||
2.08393 | + | 5.03105i | 0.0666026 | + | 0.160793i | |||||
−19.0264 | + | 7.88098i | −0.607775 | + | 0.251749i | |||||
1.27228 | − | 3.07156i | 0.0406208 | − | 0.0980673i | |||||
− | 2.02071i | − | 0.0644836i | |||||||
−52.3778 | − | 21.6956i | −1.67059 | − | 0.691982i | −0.671782 | − | 0.740749i | ||
−0.998810 | + | 0.0487673i | ||||||||
17.2866 | − | 17.2866i | 0.551075 | − | 0.551075i | |||||
6.68150 | 0.212890 | |||||||||
58.6303 | + | 61.4585i | 1.86717 | + | 1.95724i | |||||
−63.7050 | −2.02775 | |||||||||
11.4301 | − | 11.4301i | 0.363641 | − | 0.363641i | |||||
−61.5894 | − | 25.5112i | −1.95843 | − | 0.811208i | |||||
− | 3.13626i | − | 0.0996768i | |||||||
−13.7333 | + | 33.1551i | −0.436252 | + | 1.05321i | 0.540980 | + | 0.841035i | ||
−0.977233 | + | 0.212171i | ||||||||
8.78730 | − | 3.63982i | 0.278997 | − | 0.115564i | |||||
7.00310 | + | 16.9070i | 0.222237 | + | 0.536526i | |||||
−10.9481 | − | 10.9481i | −0.347253 | − | 0.347253i | |||||
13.3444 | + | 13.3444i | 0.423045 | + | 0.423045i | |||||
−15.5157 | − | 37.4581i | −0.491633 | − | 1.18691i | |||||
30.4465 | − | 12.6113i | 0.964249 | − | 0.399405i | 0.155681 | − | 0.987807i | ||
0.808568 | + | 0.588402i | ||||||||
−20.3764 | + | 49.1930i | −0.645004 | + | 1.55718i | |||||
− | 25.5433i | − | 0.808153i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 85.2.l.a.26.6 | ✓ | 24 | |
3.2 | odd | 2 | 765.2.be.b.451.1 | 24 | |||
5.2 | odd | 4 | 425.2.n.f.349.6 | 24 | |||
5.3 | odd | 4 | 425.2.n.c.349.1 | 24 | |||
5.4 | even | 2 | 425.2.m.b.26.1 | 24 | |||
17.2 | even | 8 | inner | 85.2.l.a.36.6 | yes | 24 | |
17.6 | odd | 16 | 1445.2.a.p.1.12 | 12 | |||
17.7 | odd | 16 | 1445.2.d.j.866.1 | 24 | |||
17.10 | odd | 16 | 1445.2.d.j.866.2 | 24 | |||
17.11 | odd | 16 | 1445.2.a.q.1.12 | 12 | |||
51.2 | odd | 8 | 765.2.be.b.631.1 | 24 | |||
85.2 | odd | 8 | 425.2.n.c.274.1 | 24 | |||
85.19 | even | 8 | 425.2.m.b.376.1 | 24 | |||
85.53 | odd | 8 | 425.2.n.f.274.6 | 24 | |||
85.74 | odd | 16 | 7225.2.a.bs.1.1 | 12 | |||
85.79 | odd | 16 | 7225.2.a.bq.1.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
85.2.l.a.26.6 | ✓ | 24 | 1.1 | even | 1 | trivial | |
85.2.l.a.36.6 | yes | 24 | 17.2 | even | 8 | inner | |
425.2.m.b.26.1 | 24 | 5.4 | even | 2 | |||
425.2.m.b.376.1 | 24 | 85.19 | even | 8 | |||
425.2.n.c.274.1 | 24 | 85.2 | odd | 8 | |||
425.2.n.c.349.1 | 24 | 5.3 | odd | 4 | |||
425.2.n.f.274.6 | 24 | 85.53 | odd | 8 | |||
425.2.n.f.349.6 | 24 | 5.2 | odd | 4 | |||
765.2.be.b.451.1 | 24 | 3.2 | odd | 2 | |||
765.2.be.b.631.1 | 24 | 51.2 | odd | 8 | |||
1445.2.a.p.1.12 | 12 | 17.6 | odd | 16 | |||
1445.2.a.q.1.12 | 12 | 17.11 | odd | 16 | |||
1445.2.d.j.866.1 | 24 | 17.7 | odd | 16 | |||
1445.2.d.j.866.2 | 24 | 17.10 | odd | 16 | |||
7225.2.a.bq.1.1 | 12 | 85.79 | odd | 16 | |||
7225.2.a.bs.1.1 | 12 | 85.74 | odd | 16 |