Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(100,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.100");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 273.j (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 172.3 | ||
Root | of defining polynomial | ||
Character | 273.172 | ||
Dual form | 273.2.j.c.100.3 |
-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 .
−0.904928 | + | 1.56738i | −0.639881 | + | 1.10831i | 0.345578 | + | 0.938390i | ||
−0.985459 | + | 0.169916i | ||||||||
1.00000 | 0.577350 | |||||||||
−0.637789 | − | 1.10468i | −0.318895 | − | 0.552342i | |||||
1.98776 | + | 3.44291i | 0.888954 | + | 1.53971i | 0.841113 | + | 0.540859i | ||
0.0478412 | + | 0.998855i | ||||||||
−0.904928 | + | 1.56738i | −0.369435 | + | 0.639881i | |||||
−2.60384 | − | 0.469078i | −0.984158 | − | 0.177295i | |||||
−1.31110 | −0.463543 | |||||||||
1.00000 | 0.333333 | |||||||||
−7.19513 | −2.27530 | |||||||||
−0.286654 | −0.0864295 | −0.0432148 | − | 0.999066i | ||||||
−0.0432148 | + | 0.999066i | ||||||||
−0.637789 | − | 1.10468i | −0.184114 | − | 0.318895i | |||||
3.60075 | + | 0.185985i | 0.998669 | + | 0.0515830i | |||||
3.09151 | − | 3.65672i | 0.826240 | − | 0.977300i | |||||
1.98776 | + | 3.44291i | 0.513238 | + | 0.888954i | |||||
2.46203 | − | 4.26436i | 0.615507 | − | 1.06609i | |||||
2.30091 | + | 3.98530i | 0.558053 | + | 0.966577i | 0.997659 | + | 0.0683857i | ||
−0.439606 | + | 0.898191i | ||||||||
−0.904928 | + | 1.56738i | −0.213294 | + | 0.369435i | |||||
−6.96749 | −1.59845 | −0.799225 | − | 0.601031i | ||||||
−0.799225 | + | 0.601031i | ||||||||
2.53555 | − | 4.39170i | 0.566965 | − | 0.982013i | |||||
−2.60384 | − | 0.469078i | −0.568204 | − | 0.102361i | |||||
0.259402 | − | 0.449297i | 0.0553046 | − | 0.0957904i | |||||
3.61929 | − | 6.26879i | 0.754673 | − | 1.30713i | −0.190863 | − | 0.981617i | ||
0.945537 | − | 0.325516i | ||||||||
−1.31110 | −0.267627 | |||||||||
−5.40240 | + | 9.35723i | −1.08048 | + | 1.87145i | |||||
−3.54993 | + | 5.47545i | −0.696199 | + | 1.07382i | |||||
1.00000 | 0.192450 | |||||||||
1.14252 | + | 3.17559i | 0.215915 | + | 0.600130i | |||||
0.421754 | + | 0.730500i | 0.0783178 | + | 0.135650i | 0.902524 | − | 0.430639i | ||
−0.824206 | + | 0.566289i | ||||||||
−7.19513 | −1.31364 | |||||||||
−0.212854 | + | 0.368675i | −0.0382298 | + | 0.0662159i | −0.884507 | − | 0.466527i | ||
0.846277 | + | 0.532742i | ||||||||
3.14482 | + | 5.44698i | 0.555930 | + | 0.962900i | |||||
−0.286654 | −0.0499001 | |||||||||
−8.32864 | −1.42835 | |||||||||
−3.56082 | − | 9.89718i | −0.601888 | − | 1.67293i | |||||
−0.637789 | − | 1.10468i | −0.106298 | − | 0.184114i | |||||
2.18208 | − | 3.77948i | 0.358732 | − | 0.621342i | −0.629017 | − | 0.777391i | ||
0.987749 | + | 0.156049i | ||||||||
6.30507 | − | 10.9207i | 1.02282 | − | 1.77157i | |||||
3.60075 | + | 0.185985i | 0.576582 | + | 0.0297814i | |||||
−2.60615 | − | 4.51399i | −0.412069 | − | 0.713724i | |||||
−0.509885 | − | 0.883147i | −0.0796307 | − | 0.137924i | 0.823460 | − | 0.567374i | ||
−0.903091 | + | 0.429450i | ||||||||
3.09151 | − | 3.65672i | 0.477030 | − | 0.564245i | |||||
0.585291 | − | 1.01375i | 0.0892560 | − | 0.154596i | −0.817941 | − | 0.575302i | ||
0.907197 | + | 0.420706i | ||||||||
0.182825 | + | 0.316662i | 0.0275619 | + | 0.0477386i | |||||
1.98776 | + | 3.44291i | 0.296318 | + | 0.513238i | |||||
6.55039 | + | 11.3456i | 0.965802 | + | 1.67282i | |||||
2.71264 | + | 4.69843i | 0.395680 | + | 0.685337i | 0.993188 | − | 0.116526i | ||
−0.597508 | + | 0.801863i | ||||||||
2.46203 | − | 4.26436i | 0.355363 | − | 0.615507i | |||||
6.55993 | + | 2.44280i | 0.937133 | + | 0.348972i | |||||
−9.77756 | − | 16.9352i | −1.38276 | − | 2.39500i | |||||
2.30091 | + | 3.98530i | 0.322192 | + | 0.558053i | |||||
−2.09107 | − | 4.09631i | −0.289979 | − | 0.568056i | |||||
−0.574226 | + | 0.994589i | −0.0788760 | + | 0.136617i | −0.902765 | − | 0.430134i | ||
0.823889 | + | 0.566751i | ||||||||
−0.904928 | + | 1.56738i | −0.123145 | + | 0.213294i | |||||
−0.569801 | − | 0.986924i | −0.0768319 | − | 0.133077i | |||||
3.41389 | + | 0.615007i | 0.456200 | + | 0.0821838i | |||||
−6.96749 | −0.922866 | |||||||||
−1.52663 | −0.200456 | |||||||||
2.42927 | + | 4.20762i | 0.316264 | + | 0.547785i | 0.979705 | − | 0.200443i | ||
−0.663441 | + | 0.748228i | ||||||||
2.53555 | − | 4.39170i | 0.327338 | − | 0.566965i | |||||
8.16848 | 1.04587 | 0.522933 | − | 0.852374i | ||||||
0.522933 | + | 0.852374i | ||||||||
−0.385236 | − | 0.667248i | −0.0489250 | − | 0.0847406i | |||||
−2.60384 | − | 0.469078i | −0.328053 | − | 0.0590983i | |||||
−1.53522 | −0.191902 | |||||||||
6.51711 | + | 12.7667i | 0.808348 | + | 1.58352i | |||||
0.259402 | − | 0.449297i | 0.0319301 | − | 0.0553046i | |||||
1.57387 | 0.192279 | 0.0961397 | − | 0.995368i | ||||||
0.0961397 | + | 0.995368i | ||||||||
2.93499 | − | 5.08356i | 0.355920 | − | 0.616472i | |||||
3.61929 | − | 6.26879i | 0.435711 | − | 0.754673i | |||||
18.7349 | + | 3.37507i | 2.23925 | + | 0.403399i | |||||
−3.22369 | + | 5.58359i | −0.382581 | + | 0.662650i | −0.991430 | − | 0.130636i | ||
0.608849 | + | 0.793286i | ||||||||
−1.31110 | −0.154514 | |||||||||
8.24845 | − | 14.2867i | 0.965408 | − | 1.67214i | 0.256893 | − | 0.966440i | ||
0.708515 | − | 0.705696i | ||||||||
3.94925 | + | 6.84031i | 0.459092 | + | 0.795170i | |||||
−5.40240 | + | 9.35723i | −0.623815 | + | 1.08048i | |||||
4.44379 | + | 7.69686i | 0.509737 | + | 0.882891i | |||||
0.746401 | + | 0.134463i | 0.0850603 | + | 0.0153235i | |||||
−3.54993 | + | 5.47545i | −0.401950 | + | 0.619972i | |||||
−3.84412 | − | 6.65821i | −0.432497 | − | 0.749107i | 0.564590 | − | 0.825371i | ||
−0.997088 | + | 0.0762639i | ||||||||
19.5757 | 2.18863 | |||||||||
1.00000 | 0.111111 | |||||||||
1.84564 | 0.203817 | |||||||||
13.3888 | 1.46961 | 0.734805 | − | 0.678279i | ||||||
0.734805 | + | 0.678279i | ||||||||
1.14252 | + | 3.17559i | 0.124659 | + | 0.346485i | |||||
−9.14733 | + | 15.8436i | −0.992168 | + | 1.71848i | |||||
1.05929 | + | 1.83475i | 0.114226 | + | 0.197846i | |||||
0.421754 | + | 0.730500i | 0.0452168 | + | 0.0783178i | |||||
0.375832 | 0.0400639 | |||||||||
1.10786 | − | 1.91886i | 0.117433 | − | 0.203399i | −0.801317 | − | 0.598240i | ||
0.918750 | + | 0.394841i | ||||||||
−7.19513 | −0.758433 | |||||||||
−9.28853 | − | 2.17331i | −0.973702 | − | 0.227825i | |||||
−9.23336 | −0.962645 | |||||||||
−0.212854 | + | 0.368675i | −0.0220720 | + | 0.0382298i | |||||
−9.81898 | −1.01275 | |||||||||
−13.8497 | − | 23.9884i | −1.42095 | − | 2.46116i | |||||
3.14482 | + | 5.44698i | 0.320967 | + | 0.555930i | |||||
9.52241 | − | 16.4933i | 0.966854 | − | 1.67464i | 0.262306 | − | 0.964985i | ||
0.704549 | − | 0.709656i | ||||||||
−9.76507 | + | 8.07135i | −0.986421 | + | 0.815330i | |||||
−0.286654 | −0.0288098 | |||||||||
13.7824 | 1.37824 | |||||||||
−9.08855 | −0.904344 | −0.452172 | − | 0.891931i | ||||||
−0.452172 | + | 0.891931i | ||||||||
−8.32864 | −0.824658 | |||||||||
2.34421 | + | 4.06029i | 0.230982 | + | 0.400072i | 0.958097 | − | 0.286443i | ||
−0.727116 | + | 0.686515i | ||||||||
−4.72094 | − | 0.243845i | −0.462926 | − | 0.0239109i | |||||
−3.56082 | − | 9.89718i | −0.347500 | − | 0.965866i | |||||
−1.03927 | − | 1.80006i | −0.100943 | − | 0.174838i | |||||
−7.25279 | + | 12.5622i | −0.701154 | + | 1.21443i | 0.266908 | + | 0.963722i | ||
−0.968062 | + | 0.250712i | ||||||||
−0.637789 | − | 1.10468i | −0.0613713 | − | 0.106298i | |||||
2.09694 | − | 3.63200i | 0.200850 | − | 0.347883i | −0.747952 | − | 0.663752i | ||
0.948803 | + | 0.315870i | ||||||||
2.06251 | 0.196653 | |||||||||
2.18208 | − | 3.77948i | 0.207114 | − | 0.358732i | |||||
−8.41104 | + | 9.94881i | −0.794768 | + | 0.940074i | |||||
4.12305 | − | 7.14133i | 0.387864 | − | 0.671800i | −0.604298 | − | 0.796758i | ||
0.992162 | + | 0.124958i | ||||||||
6.30507 | − | 10.9207i | 0.590524 | − | 1.02282i | |||||
28.7771 | 2.68348 | |||||||||
0.537981 | − | 0.931810i | 0.0499503 | − | 0.0865164i | |||||
3.60075 | + | 0.185985i | 0.332890 | + | 0.0171943i | |||||
−8.79326 | −0.809485 | |||||||||
−4.12179 | − | 11.4564i | −0.377843 | − | 1.05020i | |||||
−2.60615 | − | 4.51399i | −0.237908 | − | 0.412069i | |||||
−10.9178 | −0.992530 | |||||||||
−7.39189 | + | 12.8031i | −0.669230 | + | 1.15914i | |||||
−0.509885 | − | 0.883147i | −0.0459748 | − | 0.0796307i | |||||
0.543025 | 0.0487651 | |||||||||
−23.0771 | −2.06408 | |||||||||
3.09151 | − | 3.65672i | 0.275413 | − | 0.325767i | |||||
−3.92173 | − | 6.79263i | −0.347997 | − | 0.602748i | 0.637897 | − | 0.770122i | ||
−0.985894 | + | 0.167374i | ||||||||
−4.90037 | + | 8.48769i | −0.433136 | + | 0.750213i | |||||
0.585291 | − | 1.01375i | 0.0515320 | − | 0.0892560i | |||||
−25.9079 | − | 1.33819i | −2.27227 | − | 0.117367i | |||||
−4.04277 | − | 7.00228i | −0.353218 | − | 0.611792i | 0.633593 | − | 0.773666i | ||
−0.986811 | + | 0.161874i | ||||||||
0.182825 | + | 0.316662i | 0.0159129 | + | 0.0275619i | |||||
18.1422 | + | 3.26829i | 1.57313 | + | 0.283397i | |||||
−1.42424 | + | 2.46686i | −0.123036 | + | 0.213104i | |||||
1.98776 | + | 3.44291i | 0.171079 | + | 0.296318i | |||||
−3.01672 | − | 5.22512i | −0.258682 | − | 0.448050i | |||||
−0.754841 | − | 1.30742i | −0.0644904 | − | 0.111701i | 0.831977 | − | 0.554809i | ||
−0.896468 | + | 0.443109i | ||||||||
6.55039 | + | 11.3456i | 0.557606 | + | 0.965802i | |||||
2.02132 | − | 3.50104i | 0.171446 | − | 0.296954i | −0.767479 | − | 0.641074i | ||
0.938926 | + | 0.344120i | ||||||||
−8.66220 | + | 10.2459i | −0.732089 | + | 0.865936i | |||||
2.71264 | + | 4.69843i | 0.228446 | + | 0.395680i | |||||
−5.83441 | − | 10.1055i | −0.489613 | − | 0.848034i | |||||
−1.03217 | − | 0.0533134i | −0.0863145 | − | 0.00445829i | |||||
2.46203 | − | 4.26436i | 0.205169 | − | 0.355363i | |||||
−1.67670 | + | 2.90412i | −0.139242 | + | 0.241174i | |||||
14.9285 | + | 25.8569i | 1.23549 | + | 2.13993i | |||||
6.55993 | + | 2.44280i | 0.541054 | + | 0.201479i | |||||
−5.56683 | −0.457591 | |||||||||
−19.1947 | −1.57249 | −0.786247 | − | 0.617912i | ||||||
−0.786247 | + | 0.617912i | ||||||||
−9.77756 | − | 16.9352i | −0.798335 | − | 1.38276i | |||||
−9.47334 | + | 16.4083i | −0.770929 | + | 1.33529i | 0.166125 | + | 0.986105i | ||
−0.937054 | + | 0.349184i | ||||||||
9.13506 | 0.740951 | |||||||||
2.30091 | + | 3.98530i | 0.186018 | + | 0.322192i | |||||
−0.886194 | + | 1.04822i | −0.0714116 | + | 0.0844676i | |||||
−1.69242 | −0.135938 | |||||||||
−2.09107 | − | 4.09631i | −0.167419 | − | 0.327967i | |||||
−9.31770 | + | 16.1387i | −0.743633 | + | 1.28801i | 0.207197 | + | 0.978299i | ||
−0.950831 | + | 0.309711i | ||||||||
13.9146 | 1.10699 | |||||||||
−0.574226 | + | 0.994589i | −0.0455391 | + | 0.0788760i | |||||
−12.5023 | + | 21.6546i | −0.988394 | + | 1.71195i | |||||
−12.3646 | + | 14.6252i | −0.974465 | + | 1.15262i | |||||
−0.904928 | + | 1.56738i | −0.0710979 | + | 0.123145i | |||||
10.7052 | 0.838500 | 0.419250 | − | 0.907871i | ||||||
0.419250 | + | 0.907871i | ||||||||
−0.650398 | + | 1.12652i | −0.0507876 | + | 0.0879667i | |||||
−0.569801 | − | 0.986924i | −0.0443589 | − | 0.0768319i | |||||
−12.1159 | + | 20.9853i | −0.940375 | + | 1.62878i | |||||
0.0240620 | + | 0.0416766i | 0.00186197 | + | 0.00322503i | 0.866955 | − | 0.498387i | ||
−0.865093 | + | 0.501612i | ||||||||
3.41389 | + | 0.615007i | 0.263387 | + | 0.0474489i | |||||
12.9308 | + | 1.33937i | 0.994678 | + | 0.103029i | |||||
−16.5554 | − | 28.6747i | −1.26974 | − | 2.19925i | |||||
−6.96749 | −0.532817 | |||||||||
−1.49317 | −0.113853 | |||||||||
−14.0297 | −1.06666 | −0.533330 | − | 0.845907i | ||||||
−0.533330 | + | 0.845907i | ||||||||
−1.52663 | −0.115733 | |||||||||
18.4562 | − | 21.8306i | 1.39516 | − | 1.65023i | |||||
−0.705751 | + | 1.22240i | −0.0531980 | + | 0.0921416i | |||||
2.42927 | + | 4.20762i | 0.182595 | + | 0.316264i | |||||
2.00506 | + | 3.47287i | 0.150286 | + | 0.260302i | |||||
4.69863 | 0.351192 | 0.175596 | − | 0.984462i | ||||||
0.175596 | + | 0.984462i | ||||||||
2.53555 | − | 4.39170i | 0.188988 | − | 0.327338i | |||||
−22.0382 | −1.63809 | −0.819044 | − | 0.573730i | ||||||
−0.819044 | + | 0.573730i | ||||||||
11.8118 | − | 12.5920i | 0.875552 | − | 0.933379i | |||||
8.16848 | 0.603832 | |||||||||
−4.74524 | + | 8.21900i | −0.349824 | + | 0.605913i | |||||
17.3498 | 1.27559 | |||||||||
−0.385236 | − | 0.667248i | −0.0282469 | − | 0.0489250i | |||||
−0.659567 | − | 1.14240i | −0.0482323 | − | 0.0835408i | |||||
3.46019 | − | 5.99322i | 0.252360 | − | 0.437101i | |||||
−2.60384 | − | 0.469078i | −0.189401 | − | 0.0341204i | |||||
50.1319 | 3.63695 | |||||||||
11.0974 | 0.802982 | 0.401491 | − | 0.915863i | ||||||
0.401491 | + | 0.915863i | ||||||||
−1.53522 | −0.110795 | |||||||||
−0.486230 | −0.0349996 | −0.0174998 | − | 0.999847i | ||||||
−0.0174998 | + | 0.999847i | ||||||||
17.2342 | + | 29.8505i | 1.23734 | + | 2.14314i | |||||
6.51711 | + | 12.7667i | 0.466700 | + | 0.914245i | |||||
−1.48533 | − | 8.80464i | −0.106095 | − | 0.628903i | |||||
−8.53814 | − | 14.7885i | −0.608317 | − | 1.05364i | −0.991518 | − | 0.129971i | ||
0.383200 | − | 0.923665i | ||||||||
0.259402 | − | 0.449297i | 0.0184349 | − | 0.0319301i | |||||
−11.5849 | − | 20.0656i | −0.821230 | − | 1.42241i | −0.904766 | − | 0.425908i | ||
0.0835360 | − | 0.996505i | ||||||||
7.08308 | − | 12.2683i | 0.500849 | − | 0.867497i | |||||
1.57387 | 0.111013 | |||||||||
8.22448 | − | 14.2452i | 0.578673 | − | 1.00229i | |||||
−0.755518 | − | 2.09994i | −0.0530270 | − | 0.147387i | |||||
2.93499 | − | 5.08356i | 0.205491 | − | 0.355920i | |||||
2.02706 | − | 3.51097i | 0.141576 | − | 0.245217i | |||||
−8.48536 | −0.591203 | |||||||||
3.61929 | − | 6.26879i | 0.251558 | − | 0.435711i | |||||
9.65826 | − | 14.8970i | 0.669680 | − | 1.03292i | |||||
1.99726 | 0.138153 | |||||||||
18.7349 | + | 3.37507i | 1.29283 | + | 0.232902i | |||||
1.40788 | + | 2.43852i | 0.0969224 | + | 0.167874i | 0.910409 | − | 0.413709i | ||
−0.813487 | + | 0.581583i | ||||||||
1.46494 | 0.100613 | |||||||||
−3.22369 | + | 5.58359i | −0.220883 | + | 0.382581i | |||||
−13.1265 | − | 22.7358i | −0.897310 | − | 1.55419i | |||||
4.65368 | 0.317378 | |||||||||
−1.31110 | −0.0892090 | |||||||||
0.727175 | − | 0.860123i | 0.0493639 | − | 0.0583890i | |||||
3.79515 | + | 6.57340i | 0.257040 | + | 0.445207i | |||||
8.24845 | − | 14.2867i | 0.557379 | − | 0.965408i | |||||
−0.726825 | + | 1.25890i | −0.0490026 | + | 0.0848749i | |||||
7.54381 | + | 14.7780i | 0.507451 | + | 0.994076i | |||||
3.94925 | + | 6.84031i | 0.265057 | + | 0.459092i | |||||
−8.16232 | − | 14.1375i | −0.546589 | − | 0.946720i | −0.998505 | − | 0.0546597i | ||
0.451916 | − | 0.892061i | ||||||||
−5.63353 | − | 15.6582i | −0.376406 | − | 1.04621i | |||||
−5.40240 | + | 9.35723i | −0.360160 | + | 0.623815i | |||||
7.46213 | + | 12.9248i | 0.496373 | + | 0.859744i | |||||
3.10289 | + | 5.37436i | 0.205946 | + | 0.356709i | 0.950434 | − | 0.310927i | ||
−0.744488 | + | 0.667636i | ||||||||
4.44379 | + | 7.69686i | 0.294297 | + | 0.509737i | |||||
0.261463 | + | 0.452867i | 0.0172779 | + | 0.0299263i | 0.874535 | − | 0.484962i | ||
−0.857257 | + | 0.514889i | ||||||||
−26.0412 | + | 45.1047i | −1.71711 | + | 2.97412i | |||||
0.746401 | + | 0.134463i | 0.0491096 | + | 0.00884703i | |||||
−0.552962 | − | 0.957758i | −0.0363037 | − | 0.0628799i | |||||
−6.48273 | − | 11.2284i | −0.424697 | − | 0.735598i | 0.571695 | − | 0.820466i | ||
−0.996392 | + | 0.0848689i | ||||||||
−3.54993 | + | 5.47545i | −0.232066 | + | 0.357941i | |||||
−10.7842 | + | 18.6787i | −0.703482 | + | 1.21847i | |||||
3.09872 | − | 5.36715i | 0.201710 | − | 0.349371i | |||||
−3.84412 | − | 6.65821i | −0.249702 | − | 0.432497i | |||||
21.6864 | + | 3.90678i | 1.40572 | + | 0.253239i | |||||
−4.79605 | −0.310231 | −0.155116 | − | 0.987896i | ||||||
−0.155116 | + | 0.987896i | ||||||||
19.5757 | 1.26361 | |||||||||
−5.20975 | − | 9.02355i | −0.335589 | − | 0.581258i | 0.648008 | − | 0.761633i | ||
−0.983598 | + | 0.180375i | ||||||||
9.87985 | − | 17.1124i | 0.635101 | − | 1.10003i | |||||
1.00000 | 0.0641500 | |||||||||
−5.20977 | − | 9.02358i | −0.333521 | − | 0.577676i | |||||
4.62924 | + | 27.4409i | 0.295751 | + | 1.75314i | |||||
1.84564 | 0.117674 | |||||||||
−25.0882 | − | 1.29585i | −1.59632 | − | 0.0824529i | |||||
0.279073 | − | 0.483369i | 0.0177212 | − | 0.0306940i | |||||
13.3888 | 0.848479 | |||||||||
20.8831 | − | 36.1706i | 1.32077 | − | 2.28763i | |||||
−5.10645 | + | 8.84463i | −0.322316 | + | 0.558268i | −0.980966 | − | 0.194182i | ||
0.658649 | + | 0.752450i | ||||||||
1.14252 | + | 3.17559i | 0.0719718 | + | 0.200043i | |||||
−1.03748 | + | 1.79698i | −0.0652261 | + | 0.112975i | |||||
14.1955 | 0.890706 | |||||||||
−9.14733 | + | 15.8436i | −0.572828 | + | 0.992168i | |||||
−10.4042 | − | 18.0206i | −0.650262 | − | 1.12629i | |||||
3.18140 | − | 5.51035i | 0.198450 | − | 0.343726i | −0.749576 | − | 0.661919i | ||
0.948026 | + | 0.318192i | ||||||||
1.05929 | + | 1.83475i | 0.0659486 | + | 0.114226i | |||||
−7.45466 | + | 8.81758i | −0.463210 | + | 0.547898i | |||||
9.94666 | − | 15.3418i | 0.616866 | − | 0.951460i | |||||
0.421754 | + | 0.730500i | 0.0261059 | + | 0.0452168i | |||||
14.6337 | 0.904070 | |||||||||
−17.0135 | −1.04910 | −0.524550 | − | 0.851380i | ||||||
−0.524550 | + | 0.851380i | ||||||||
0.375832 | 0.0231309 | |||||||||
−4.56570 | −0.280469 | |||||||||
−21.5400 | + | 25.4782i | −1.32070 | + | 1.56217i | |||||
1.10786 | − | 1.91886i | 0.0677997 | − | 0.117433i | |||||
−1.00380 | − | 1.73863i | −0.0613168 | − | 0.106204i | |||||
4.53019 | + | 7.84653i | 0.276211 | + | 0.478411i | 0.970440 | − | 0.241343i | ||
−0.694229 | + | 0.719754i | ||||||||
−7.19513 | −0.437881 | |||||||||
−1.11398 | + | 1.92947i | −0.0676696 | + | 0.117207i | −0.897875 | − | 0.440250i | ||
0.830206 | + | 0.557457i | ||||||||
22.6596 | 1.37394 | |||||||||
−9.28853 | − | 2.17331i | −0.562167 | − | 0.131535i | |||||
2.73231 | 0.165065 | |||||||||
1.54862 | − | 2.68229i | 0.0933854 | − | 0.161748i | |||||
−9.23336 | −0.555783 | |||||||||
3.90377 | + | 6.76153i | 0.234555 | + | 0.406261i | 0.959143 | − | 0.282921i | ||
−0.724588 | + | 0.689182i | ||||||||
3.65830 | + | 6.33637i | 0.219411 | + | 0.380030i | |||||
−0.212854 | + | 0.368675i | −0.0127433 | + | 0.0220720i | |||||
4.66858 | + | 12.9762i | 0.279001 | + | 0.775475i | |||||
−12.7531 | −0.760789 | −0.380394 | − | 0.924824i | ||||||
−0.380394 | + | 0.924824i | ||||||||
−9.81898 | −0.584712 | |||||||||
16.3439 | 0.971542 | 0.485771 | − | 0.874086i | ||||||
0.485771 | + | 0.874086i | ||||||||
8.22413 | 0.488012 | |||||||||
−13.8497 | − | 23.9884i | −0.820386 | − | 1.42095i | |||||
1.01760 | − | 1.56956i | 0.0601721 | − | 0.0928101i | |||||
0.913393 | + | 2.53875i | 0.0539159 | + | 0.149857i | |||||
3.14482 | + | 5.44698i | 0.185310 | + | 0.320967i | |||||
−2.08840 | + | 3.61721i | −0.122847 | + | 0.212777i | |||||
−3.03458 | − | 5.25604i | −0.178196 | − | 0.308645i | |||||
9.52241 | − | 16.4933i | 0.558214 | − | 0.966854i | |||||
−21.0431 | −1.23145 | |||||||||
11.8319 | − | 20.4935i | 0.691227 | − | 1.19724i | −0.280209 | − | 0.959939i | ||
0.971436 | − | 0.237302i | ||||||||
−9.76507 | + | 8.07135i | −0.569511 | + | 0.470731i | |||||
−9.65762 | + | 16.7275i | −0.562288 | + | 0.973912i | |||||
−2.86093 | + | 4.95527i | −0.166288 | + | 0.288019i | |||||
−0.286654 | −0.0166334 | |||||||||
17.3699 | − | 30.0855i | 1.00621 | − | 1.74280i | |||||
14.1980 | − | 21.8992i | 0.821094 | − | 1.26646i | |||||
13.7824 | 0.795725 | |||||||||
−1.99953 | + | 2.36510i | −0.115251 | + | 0.136322i | |||||
−17.1454 | − | 29.6967i | −0.986605 | − | 1.70885i | |||||
−9.08855 | −0.522124 | |||||||||
−17.1541 | + | 29.7119i | −0.983858 | + | 1.70409i | |||||
16.2370 | + | 28.1233i | 0.929728 | + | 1.61034i | |||||
−8.32864 | −0.476117 | |||||||||
8.99691 | 0.513481 | 0.256740 | − | 0.966480i | ||||||
0.256740 | + | 0.966480i | ||||||||
−0.327507 | − | 0.910296i | −0.0186615 | − | 0.0518689i | |||||
2.34421 | + | 4.06029i | 0.133357 | + | 0.230982i | |||||
1.53151 | − | 2.65266i | 0.0869842 | − | 0.150661i | |||||
15.4498 | − | 26.7598i | 0.876077 | − | 1.51741i | 0.0204655 | − | 0.999791i | ||
0.855611 | − | 0.517619i | ||||||||
−4.72094 | − | 0.243845i | −0.267271 | − | 0.0138050i | |||||
3.74574 | + | 6.48782i | 0.211722 | + | 0.366713i | 0.952254 | − | 0.305308i | ||
−0.740532 | + | 0.672022i | ||||||||
−16.8637 | − | 29.2088i | −0.951673 | − | 1.64835i | |||||
−3.56082 | − | 9.89718i | −0.200629 | − | 0.557643i | |||||
−4.90348 | + | 8.49307i | −0.275842 | + | 0.477773i | |||||
8.11402 | + | 14.0539i | 0.455729 | + | 0.789346i | 0.998730 | − | 0.0503864i | ||
−0.543001 | + | 0.839732i | ||||||||
−1.03927 | − | 1.80006i | −0.0582792 | − | 0.100943i | |||||
−0.120898 | − | 0.209401i | −0.00676897 | − | 0.0117242i | |||||
−3.05165 | − | 5.28562i | −0.170593 | − | 0.295475i | |||||
−7.25279 | + | 12.5622i | −0.404811 | + | 0.701154i | |||||
−11.7342 | − | 32.6147i | −0.653919 | − | 1.81755i | |||||
−16.0316 | − | 27.7675i | −0.892021 | − | 1.54503i | |||||
−0.637789 | − | 1.10468i | −0.0354327 | − | 0.0613713i | |||||
−21.1930 | + | 32.6883i | −1.17558 | + | 1.81322i | |||||
−9.68748 | + | 16.7792i | −0.536540 | + | 0.929314i | |||||
2.09694 | − | 3.63200i | 0.115961 | − | 0.200850i | |||||
0.668510 | + | 1.15789i | 0.0369123 | + | 0.0639340i | |||||
−4.85935 | − | 13.5064i | −0.267904 | − | 0.744632i | |||||
2.06251 | 0.113538 | |||||||||
5.58434 | 0.306943 | 0.153472 | − | 0.988153i | ||||||
0.153472 | + | 0.988153i | ||||||||
−8.53922 | − | 14.7904i | −0.468650 | − | 0.811726i | |||||
2.18208 | − | 3.77948i | 0.119577 | − | 0.207114i | |||||
−0.0870976 | −0.00476577 | |||||||||
3.12849 | + | 5.41870i | 0.170928 | + | 0.296055i | |||||
−8.41104 | + | 9.94881i | −0.458860 | + | 0.542752i | |||||
−0.504097 | −0.0274599 | −0.0137299 | − | 0.999906i | ||||||
−0.0137299 | + | 0.999906i | ||||||||
−13.8008 | + | 19.0555i | −0.750663 | + | 1.03648i | |||||
4.12305 | − | 7.14133i | 0.223933 | − | 0.387864i | |||||
23.3363 | 1.26559 | |||||||||
0.0610156 | − | 0.105682i | 0.00330418 | − | 0.00572301i | |||||
6.30507 | − | 10.9207i | 0.340939 | − | 0.590524i | |||||
−15.9351 | − | 9.43778i | −0.860416 | − | 0.509592i | |||||
−0.767374 | + | 1.32913i | −0.0413740 | + | 0.0716619i | |||||
28.7771 | 1.54931 | |||||||||
12.6959 | − | 21.9899i | 0.682535 | − | 1.18219i | |||||
6.06672 | + | 10.5079i | 0.325678 | + | 0.564092i | 0.981649 | − | 0.190694i | ||
−0.655971 | + | 0.754786i | ||||||||
0.537981 | − | 0.931810i | 0.0288388 | − | 0.0499503i | |||||
10.9086 | + | 18.8943i | 0.583924 | + | 1.01139i | 0.995009 | + | 0.0997893i | ||
−0.411084 | + | 0.911597i | ||||||||
17.5152 | + | 48.6830i | 0.936229 | + | 2.60222i | |||||
3.60075 | + | 0.185985i | 0.192194 | + | 0.00992715i | |||||
−0.901476 | − | 1.56140i | −0.0480488 | − | 0.0832230i | |||||
−12.0879 | −0.643375 | −0.321688 | − | 0.946846i | ||||||
−0.321688 | + | 0.946846i | ||||||||
−8.79326 | −0.467356 | |||||||||
−25.6317 | −1.36039 | |||||||||
−2.82631 | −0.149794 | |||||||||
−4.12179 | − | 11.4564i | −0.218148 | − | 0.606335i | |||||
−4.25192 | + | 7.36454i | −0.224721 | + | 0.389228i | |||||
−7.22027 | − | 12.5059i | −0.381071 | − | 0.660035i | 0.610144 | − | 0.792290i | ||
−0.991216 | + | 0.132255i | ||||||||
−2.60615 | − | 4.51399i | −0.137356 | − | 0.237908i | |||||
29.5459 | 1.55505 | |||||||||
19.9430 | − | 34.5423i | 1.04818 | − | 1.81550i | |||||
−10.9178 | −0.573037 | |||||||||
3.52331 | + | 11.6470i | 0.184671 | + | 0.610468i | |||||
65.5838 | 3.43281 | |||||||||
−7.39189 | + | 12.8031i | −0.386380 | + | 0.669230i | |||||
24.3787 | 1.27256 | 0.636280 | − | 0.771459i | ||||||
0.636280 | + | 0.771459i | ||||||||
−17.8216 | − | 30.8679i | −0.929013 | − | 1.60910i | |||||
−0.509885 | − | 0.883147i | −0.0265436 | − | 0.0459748i | |||||
−15.7004 | + | 27.1938i | −0.816223 | + | 1.41374i | |||||
1.96173 | − | 2.32039i | 0.101848 | − | 0.120469i | |||||
0.543025 | 0.0281545 | |||||||||
−8.40033 | −0.434953 | −0.217476 | − | 0.976066i | ||||||
−0.217476 | + | 0.976066i | ||||||||
2.38744 | 0.123452 | |||||||||
−23.0771 | −1.19170 | |||||||||
−3.55654 | − | 6.16011i | −0.183415 | − | 0.317684i | |||||
1.38277 | + | 2.70879i | 0.0712163 | + | 0.139510i | |||||
3.09151 | − | 3.65672i | 0.159010 | − | 0.188082i | |||||
−1.82895 | − | 3.16783i | −0.0939467 | − | 0.162720i | 0.815222 | − | 0.579149i | ||
−0.909169 | + | 0.416428i | ||||||||
−17.6664 | + | 30.5991i | −0.906266 | + | 1.56970i | |||||
−3.92173 | − | 6.79263i | −0.200916 | − | 0.347997i | |||||
−10.0424 | + | 17.3939i | −0.513812 | + | 0.889949i | |||||
−30.7052 | −1.56896 | −0.784481 | − | 0.620152i | ||||||
−0.784481 | + | 0.620152i | ||||||||
−4.90037 | + | 8.48769i | −0.250071 | + | 0.433136i | |||||
1.02072 | + | 2.83707i | 0.0520209 | + | 0.144590i | |||||
0.440003 | − | 0.762108i | 0.0223956 | − | 0.0387903i | |||||
0.585291 | − | 1.01375i | 0.0297520 | − | 0.0515320i | |||||
−24.2932 | −1.23330 | |||||||||
−9.21889 | + | 15.9676i | −0.467416 | + | 0.809589i | −0.999307 | − | 0.0372241i | ||
0.531890 | + | 0.846813i | ||||||||
−25.9079 | − | 1.33819i | −1.31190 | − | 0.0677617i | |||||
33.3106 | 1.68459 | |||||||||
−8.60072 | − | 3.20276i | −0.434402 | − | 0.161764i | |||||
−4.04277 | − | 7.00228i | −0.203931 | − | 0.353218i | |||||
30.9056 | 1.55700 | |||||||||
15.2824 | − | 26.4699i | 0.768941 | − | 1.33184i | |||||
0.182825 | + | 0.316662i | 0.00918730 | + | 0.0159129i | |||||
−2.26064 | −0.113458 | −0.0567290 | − | 0.998390i | ||||||
−0.0567290 | + | 0.998390i | ||||||||
41.9339 | 2.10196 | |||||||||
18.1422 | + | 3.26829i | 0.908246 | + | 0.163619i | |||||
26.6017 | + | 46.0755i | 1.33009 | + | 2.30378i | |||||
−14.2609 | + | 24.7005i | −0.712153 | + | 1.23349i | 0.251894 | + | 0.967755i | ||
−0.964047 | + | 0.265731i | ||||||||
−1.42424 | + | 2.46686i | −0.0710348 | + | 0.123036i | |||||
−0.835004 | + | 1.28792i | −0.0415945 | + | 0.0641558i | |||||
5.79658 | + | 10.0400i | 0.288391 | + | 0.499507i | |||||
1.98776 | + | 3.44291i | 0.0987727 | + | 0.171079i | |||||
3.97509 | + | 0.716108i | 0.197281 | + | 0.0355398i | |||||
−0.625503 | + | 1.08340i | −0.0310051 | + | 0.0537023i | |||||
−3.01672 | − | 5.22512i | −0.149350 | − | 0.258682i | |||||
−5.42700 | − | 9.39983i | −0.268348 | − | 0.464792i | 0.700088 | − | 0.714057i | ||
−0.968435 | + | 0.249265i | ||||||||
3.66869 | + | 6.35436i | 0.181184 | + | 0.313819i | |||||
−0.754841 | − | 1.30742i | −0.0372335 | − | 0.0644904i | |||||
2.99022 | − | 5.17921i | 0.147318 | − | 0.255162i | |||||
−4.35172 | − | 12.0955i | −0.214134 | − | 0.595179i | |||||
6.55039 | + | 11.3456i | 0.321934 | + | 0.557606i | |||||
26.6137 | + | 46.0963i | 1.30642 | + | 2.26278i | |||||
10.3106 | + | 20.1981i | 0.505521 | + | 0.990294i | |||||
2.02132 | − | 3.50104i | 0.0989846 | − | 0.171446i | |||||
−1.80738 | + | 3.13047i | −0.0884017 | + | 0.153116i | |||||
−7.68279 | − | 13.3070i | −0.375329 | − | 0.650089i | 0.615047 | − | 0.788490i | ||
−0.990376 | + | 0.138401i | ||||||||
−8.66220 | + | 10.2459i | −0.422672 | + | 0.499948i | |||||
−3.33695 | −0.162633 | −0.0813166 | − | 0.996688i | ||||||
−0.0813166 | + | 0.996688i | ||||||||
−5.09612 | −0.248075 | |||||||||
2.71264 | + | 4.69843i | 0.131893 | + | 0.228446i | |||||
0.752867 | − | 1.30400i | 0.0365625 | − | 0.0633281i | |||||
−49.7218 | −2.41186 | |||||||||
−5.83441 | − | 10.1055i | −0.282678 | − | 0.489613i | |||||
−21.2694 | − | 3.83165i | −1.02930 | − | 0.185427i | |||||
18.5030 | 0.894377 | |||||||||
−1.03217 | − | 0.0533134i | −0.0498337 | − | 0.00257400i | |||||
−4.21124 | + | 7.29408i | −0.203084 | + | 0.351752i | |||||
−4.26093 | −0.205242 | −0.102621 | − | 0.994721i | ||||||
−0.102621 | + | 0.994721i | ||||||||
2.46203 | − | 4.26436i | 0.118454 | − | 0.205169i | |||||
−5.56416 | + | 9.63741i | −0.267396 | + | 0.463144i | −0.968189 | − | 0.250221i | ||
0.700792 | + | 0.713365i | ||||||||
0.690100 | + | 1.91811i | 0.0331259 | + | 0.0920722i | |||||
−1.67670 | + | 2.90412i | −0.0803914 | + | 0.139242i | |||||
−5.34961 | −0.256200 | |||||||||
−25.2173 | + | 43.6777i | −1.20631 | + | 2.08939i | |||||
14.9285 | + | 25.8569i | 0.713312 | + | 1.23549i | |||||
−20.5012 | + | 35.5092i | −0.978470 | + | 1.69476i | −0.310497 | + | 0.950574i | ||
−0.667973 | + | 0.744186i | ||||||||
0.747065 | + | 1.29395i | 0.0356149 | + | 0.0616869i | |||||
6.55993 | + | 2.44280i | 0.312378 | + | 0.116324i | |||||
−29.9894 | − | 1.54900i | −1.42645 | − | 0.0736785i | |||||
−7.92693 | − | 13.7298i | −0.376620 | − | 0.652325i | 0.613948 | − | 0.789346i | ||
−0.990568 | + | 0.137022i | ||||||||
−5.56683 | −0.264190 | |||||||||
8.80862 | 0.417569 | |||||||||
29.5452 | 1.39901 | |||||||||
−19.1947 | −0.907880 | |||||||||
3.99746 | + | 0.720137i | 0.188862 | + | 0.0340233i | |||||
−7.54997 | + | 13.0769i | −0.356305 | + | 0.617139i | −0.987340 | − | 0.158616i | ||
0.631035 | + | 0.775754i | ||||||||
−9.77756 | − | 16.9352i | −0.460919 | − | 0.798335i | |||||
0.146161 | + | 0.253158i | 0.00688244 | + | 0.0119207i | |||||
−10.5185 | −0.494751 | |||||||||
−9.47334 | + | 16.4083i | −0.445096 | + | 0.770929i | |||||
−11.2316 | −0.527123 | |||||||||
−10.9809 | − | 36.2995i | −0.514792 | − | 1.70175i | |||||
9.13506 | 0.427789 | |||||||||
0.0139240 | − | 0.0241170i | 0.000651335 | − | 0.00112815i | −0.865700 | − | 0.500564i | ||
0.866351 | + | 0.499436i | ||||||||
−0.946420 | −0.0442233 | |||||||||
2.30091 | + | 3.98530i | 0.107397 | + | 0.186018i | |||||
−18.3537 | − | 31.7896i | −0.855747 | − | 1.48220i | |||||
14.0543 | − | 24.3428i | 0.654575 | − | 1.13376i | −0.327425 | − | 0.944877i | ||
0.982000 | − | 0.188880i | ||||||||
−0.886194 | + | 1.04822i | −0.0412295 | + | 0.0487674i | |||||
−0.266538 | −0.0123871 | −0.00619354 | − | 0.999981i | ||||||
−0.00619354 | + | 0.999981i | ||||||||
4.15349 | 0.192821 | |||||||||
−1.69242 | −0.0784839 | |||||||||
23.4656 | 1.08702 | |||||||||
−18.5400 | − | 32.1123i | −0.857931 | − | 1.48598i | −0.873899 | − | 0.486107i | ||
0.0159687 | − | 0.999872i | ||||||||
−2.09107 | − | 4.09631i | −0.0966595 | − | 0.189352i | |||||
−4.09811 | − | 0.738270i | −0.189233 | − | 0.0340901i | |||||
−19.5178 | − | 33.8058i | −0.900289 | − | 1.55935i | |||||
−9.31770 | + | 16.1387i | −0.429337 | + | 0.743633i | |||||
−3.18501 | − | 5.51660i | −0.146602 | − | 0.253922i | |||||
−0.167776 | + | 0.290597i | −0.00771436 | + | 0.0133617i | |||||
13.9146 | 0.639119 | |||||||||
37.6411 | − | 65.1964i | 1.72709 | − | 2.99141i | |||||
−10.0268 | + | 11.8600i | −0.459579 | + | 0.543603i | |||||
−0.574226 | + | 0.994589i | −0.0262920 | + | 0.0455391i | |||||
4.34008 | − | 7.51725i | 0.198511 | − | 0.343831i | |||||
28.7986 | 1.31584 | 0.657922 | − | 0.753086i | ||||||
0.657922 | + | 0.753086i | ||||||||
−12.5023 | + | 21.6546i | −0.570649 | + | 0.988394i | |||||
8.56006 | − | 13.2031i | 0.390305 | − | 0.602011i | |||||
18.8578 | 0.858949 | |||||||||
−12.3646 | + | 14.6252i | −0.562608 | + | 0.665468i | |||||
6.96327 | + | 12.0607i | 0.316512 | + | 0.548216i | |||||
75.7132 | 3.43796 | |||||||||
−0.904928 | + | 1.56738i | −0.0410484 | + | 0.0710979i | |||||
6.86516 | + | 11.8908i | 0.311090 | + | 0.538824i | 0.978599 | − | 0.205778i | ||
−0.667508 | + | 0.744602i | ||||||||
−10.7097 | −0.484805 | |||||||||
10.7052 | 0.484108 | |||||||||
−47.1995 | − | 17.5763i | −2.13226 | − | 0.794016i | |||||
13.7632 | + | 23.8386i | 0.621126 | + | 1.07582i | 0.989276 | + | 0.146056i | ||
−0.368150 | + | 0.929766i | ||||||||
−0.650398 | + | 1.12652i | −0.0293222 | + | 0.0507876i | |||||
−1.94084 | + | 3.36163i | −0.0874110 | + | 0.151400i | |||||
24.7341 | − | 38.1501i | 1.11284 | − | 1.71645i | |||||
−0.569801 | − | 0.986924i | −0.0256106 | − | 0.0443589i | |||||
1.04811 | + | 1.81537i | 0.0470614 | + | 0.0815127i | |||||
11.0131 | − | 13.0266i | 0.494005 | − | 0.584323i | |||||
−12.1159 | + | 20.9853i | −0.542925 | + | 0.940375i | |||||
1.94567 | + | 3.37000i | 0.0871001 | + | 0.150862i | 0.906284 | − | 0.422669i | ||
−0.819184 | + | 0.573531i | ||||||||
14.7183 | + | 25.4929i | 0.658224 | + | 1.14008i | |||||
0.0240620 | + | 0.0416766i | 0.00107501 | + | 0.00186197i | |||||
−9.24194 | − | 16.0075i | −0.412488 | − | 0.714450i | |||||
−1.87991 | + | 3.25610i | −0.0838212 | + | 0.145183i | −0.904888 | − | 0.425649i | ||
0.821067 | + | 0.570832i | ||||||||
3.41389 | + | 0.615007i | 0.152067 | + | 0.0273946i | |||||
−18.0659 | − | 31.2910i | −0.803921 | − | 1.39243i | |||||
−1.87770 | − | 3.25227i | −0.0834738 | − | 0.144581i | |||||
12.9308 | + | 1.33937i | 0.574278 | + | 0.0594836i | |||||
−5.00247 | + | 8.66453i | −0.221949 | + | 0.384426i | |||||
19.2740 | − | 33.3836i | 0.854307 | − | 1.47970i | −0.0229793 | − | 0.999736i | ||
0.877286 | − | 0.479967i | ||||||||
−16.5554 | − | 28.6747i | −0.733084 | − | 1.26974i | |||||
−28.1792 | + | 33.3312i | −1.24657 | + | 1.47448i | |||||
18.0587 | 0.798088 | |||||||||
−6.96749 | −0.307622 | |||||||||
5.75788 | + | 9.97294i | 0.253969 | + | 0.439888i | |||||
−9.31946 | + | 16.1418i | −0.410664 | + | 0.711291i | |||||
−1.49317 | −0.0657331 | |||||||||
−0.777591 | − | 1.34683i | −0.0341984 | − | 0.0592334i | |||||
−7.07458 | − | 19.6636i | −0.310839 | − | 0.863967i | |||||
−14.0297 | −0.615837 | |||||||||
−8.54457 | − | 16.7385i | −0.374704 | − | 0.734030i | |||||
−6.92277 | + | 11.9906i | −0.303292 | + | 0.525318i | −0.976880 | − | 0.213790i | ||
0.673587 | + | 0.739108i | ||||||||
−1.52663 | −0.0668188 | |||||||||
−10.0335 | + | 17.3786i | −0.438736 | + | 0.759913i | −0.997592 | − | 0.0693515i | ||
0.558856 | + | 0.829265i | ||||||||
−5.15687 | + | 8.93196i | −0.225279 | + | 0.390194i | |||||
18.4562 | − | 21.8306i | 0.805496 | − | 0.952763i | |||||
15.3960 | − | 26.6667i | 0.671299 | − | 1.16272i | |||||
−1.95904 | −0.0853370 | |||||||||
−0.705751 | + | 1.22240i | −0.0307139 | + | 0.0531980i | |||||
−14.6985 | − | 25.4585i | −0.639063 | − | 1.10689i | |||||
4.13163 | − | 7.15619i | 0.179467 | − | 0.310845i | |||||
2.42927 | + | 4.20762i | 0.105421 | + | 0.182595i | |||||
−7.96047 | − | 22.1259i | −0.345130 | − | 0.959278i | |||||
−1.67172 | − | 3.27482i | −0.0724101 | − | 0.141848i | |||||
2.00506 | + | 3.47287i | 0.0867674 | + | 0.150286i | |||||
−57.6673 | −2.49318 | |||||||||
−2.06351 | −0.0891298 | |||||||||
4.69863 | 0.202761 | |||||||||
−16.3980 | −0.706968 | |||||||||
−1.88043 | − | 0.700240i | −0.0809960 | − | 0.0301615i | |||||
2.53555 | − | 4.39170i | 0.109113 | − | 0.188988i | |||||
−18.9415 | − | 32.8076i | −0.814357 | − | 1.41051i | −0.909788 | − | 0.415072i | ||
0.0954310 | − | 0.995436i | ||||||||
−2.01615 | − | 3.49207i | −0.0866009 | − | 0.149997i | |||||
−22.0382 | −0.945751 | |||||||||
−14.4719 | + | 25.0661i | −0.620478 | + | 1.07470i | |||||
16.6728 | 0.714186 | |||||||||
11.8118 | − | 12.5920i | 0.505500 | − | 0.538887i | |||||
29.3783 | 1.25613 | 0.628063 | − | 0.778162i | ||||||
0.628063 | + | 0.778162i | ||||||||
−0.962858 | + | 1.66772i | −0.0411313 | + | 0.0712415i | |||||
8.16848 | 0.348622 | |||||||||
2.80278 | + | 4.85456i | 0.119511 | + | 0.206999i | |||||
−2.93857 | − | 5.08975i | −0.125187 | − | 0.216831i | |||||
−4.74524 | + | 8.21900i | −0.201971 | + | 0.349824i | |||||
6.88624 | + | 19.1401i | 0.292833 | + | 0.813919i | |||||
−14.1305 | −0.600349 | |||||||||
17.3498 | 0.736460 | |||||||||
−5.15671 | −0.218693 | |||||||||
1.02608 | 0.0434763 | 0.0217381 | − | 0.999764i | ||||||
0.0217381 | + | 0.999764i | ||||||||
−0.385236 | − | 0.667248i | −0.0163083 | − | 0.0282469i | |||||
2.29603 | − | 3.54142i | 0.0971117 | − | 0.149786i | |||||
−50.9720 | − | 9.18253i | −2.15396 | − | 0.388033i | |||||
−0.659567 | − | 1.14240i | −0.0278469 | − | 0.0482323i | |||||
11.5407 | − | 19.9890i | 0.486814 | − | 0.843187i | |||||
18.1124 | + | 31.3716i | 0.763348 | + | 1.32216i | 0.941116 | + | 0.338085i | ||
−0.177768 | + | 0.984072i | ||||||||
3.46019 | − | 5.99322i | 0.145700 | − | 0.252360i | |||||
32.7826 | 1.37917 | |||||||||
−14.7900 | + | 25.6171i | −0.621671 | + | 1.07677i | |||||
−2.60384 | − | 0.469078i | −0.109351 | − | 0.0196994i | |||||
4.22657 | − | 7.32064i | 0.177343 | − | 0.307167i | |||||
−1.41835 | + | 2.45666i | −0.0594605 | + | 0.102989i | −0.894223 | − | 0.447621i | ||
0.834763 | + | 0.550610i | ||||||||
50.1319 | 2.09980 | |||||||||
2.29825 | − | 3.98069i | 0.0961789 | − | 0.166587i | −0.813921 | − | 0.580975i | ||
0.910100 | + | 0.414389i | ||||||||
0.599413 | + | 1.17422i | 0.0250627 | + | 0.0490968i | |||||
11.0974 | 0.463602 | |||||||||
−4.80574 | − | 0.865748i | −0.200588 | − | 0.0361356i | |||||
39.1057 | + | 67.7330i | 1.63082 | + | 2.82466i | |||||
−1.53522 | −0.0639675 | |||||||||
8.75176 | − | 15.1585i | 0.364341 | − | 0.631056i | −0.624329 | − | 0.781161i | ||
0.988670 | + | 0.150105i | ||||||||
−3.77970 | − | 6.54662i | −0.157215 | − | 0.272304i | |||||
−0.486230 | −0.0202070 | |||||||||
4.27751 | 0.177614 | |||||||||
−34.8622 | − | 6.28038i | −1.44633 | − | 0.260554i | |||||
17.2342 | + | 29.8505i | 0.714380 | + | 1.23734i | |||||
0.164604 | − | 0.285103i | 0.00681722 | − | 0.0118078i | |||||
−10.8145 | + | 18.7313i | −0.447509 | + | 0.775108i | |||||
6.51711 | + | 12.7667i | 0.269449 | + | 0.527840i | |||||
21.4140 | + | 37.0902i | 0.884606 | + | 1.53218i | |||||
−0.671155 | − | 1.16247i | −0.0277015 | − | 0.0479805i | 0.851842 | − | 0.523798i | ||
−0.879544 | + | 0.475818i | ||||||||
−1.48533 | − | 8.80464i | −0.0612539 | − | 0.363097i | |||||
1.48306 | − | 2.56874i | 0.0611084 | − | 0.105843i | |||||
−17.4789 | − | 30.2743i | −0.719595 | − | 1.24638i | |||||
−8.53814 | − | 14.7885i | −0.351212 | − | 0.608317i | |||||
−10.7447 | − | 18.6104i | −0.441604 | − | 0.764881i | |||||
22.0843 | + | 38.2512i | 0.906895 | + | 1.57079i | 0.818353 | + | 0.574716i | ||
0.0885427 | + | 0.996072i | ||||||||
0.259402 | − | 0.449297i | 0.0106434 | − | 0.0184349i | |||||
31.2501 | − | 36.9635i | 1.28113 | − | 1.51535i | |||||
12.2422 | + | 21.2041i | 0.501460 | + | 0.868554i | |||||
−11.5849 | − | 20.0656i | −0.474138 | − | 0.821230i | |||||
21.4762 | + | 42.0710i | 0.878227 | + | 1.72041i | |||||
8.46583 | − | 14.6632i | 0.345904 | − | 0.599124i | −0.639613 | − | 0.768697i | ||
0.985518 | + | 0.169573i | ||||||||
7.08308 | − | 12.2683i | 0.289166 | − | 0.500849i | |||||
7.56311 | + | 13.0997i | 0.308506 | + | 0.534348i | 0.978036 | − | 0.208437i | ||
−0.669530 | + | 0.742785i | ||||||||
−1.89758 | − | 5.27427i | −0.0773398 | − | 0.214963i | |||||
1.57387 | 0.0640931 | |||||||||
24.1680 | 0.983381 | |||||||||
−21.7021 | − | 37.5891i | −0.882314 | − | 1.52821i | |||||
8.22448 | − | 14.2452i | 0.334097 | − | 0.578673i | |||||
47.7239 | 1.93705 | 0.968527 | − | 0.248910i | ||||||
0.968527 | + | 0.248910i | ||||||||
−21.9115 | − | 37.9518i | −0.888628 | − | 1.53915i | |||||
−0.755518 | − | 2.09994i | −0.0306151 | − | 0.0850938i | |||||
−58.7733 | −2.37966 | |||||||||
8.89371 | + | 17.4224i | 0.359801 | + | 0.704835i | |||||
2.93499 | − | 5.08356i | 0.118640 | − | 0.205491i | |||||
23.9708 | 0.968173 | 0.484086 | − | 0.875020i | ||||||
0.484086 | + | 0.875020i | ||||||||
−8.14155 | + | 14.1016i | −0.328566 | + | 0.569094i | |||||
2.02706 | − | 3.51097i | 0.0817390 | − | 0.141576i | |||||
−0.978606 | − | 0.176295i | −0.0394292 | − | 0.00710311i | |||||
−1.41810 | + | 2.45623i | −0.0570907 | + | 0.0988839i | −0.893158 | − | 0.449743i | ||
0.836068 | + | 0.548626i | ||||||||
−8.48536 | −0.341331 | |||||||||
0.658494 | − | 1.14055i | 0.0264671 | − | 0.0458424i | −0.852488 | − | 0.522746i | ||
0.878956 | + | 0.476904i | ||||||||
1.07940 | + | 1.86958i | 0.0433499 | + | 0.0750843i | |||||
3.61929 | − | 6.26879i | 0.145237 | − | 0.251558i | |||||
27.9619 | + | 48.4314i | 1.12117 | + | 1.94192i | |||||
−3.78477 | + | 4.47674i | −0.151634 | + | 0.179357i | |||||
9.65826 | − | 14.8970i | 0.386640 | − | 0.596357i | |||||
−18.8598 | − | 32.6662i | −0.754393 | − | 1.30665i | |||||
−13.5585 | −0.541907 | |||||||||
1.99726 | 0.0797629 | |||||||||
23.7709 | 0.948562 | |||||||||
20.0831 | 0.800766 | |||||||||
18.7349 | + | 3.37507i | 0.746418 | + | 0.134466i | |||||
−11.5676 | + | 20.0356i | −0.460497 | + | 0.797604i | −0.998986 | − | 0.0450286i | ||
0.538489 | + | 0.842633i | ||||||||
5.04002 | + | 8.72957i | 0.200481 | + | 0.347244i | |||||
1.40788 | + | 2.43852i | 0.0559582 | + | 0.0969224i | |||||
−29.3704 | −1.16645 | |||||||||
15.5909 | − | 27.0043i | 0.618707 | − | 1.07163i | |||||
1.46494 | 0.0580887 | |||||||||
23.1664 | + | 10.0160i | 0.917885 | + | 0.396848i | |||||
0.437615 | 0.0173253 | |||||||||
−3.22369 | + | 5.58359i | −0.127527 | + | 0.220883i | |||||
−38.9631 | −1.54015 | |||||||||
18.3262 | + | 31.7420i | 0.723843 | + | 1.25373i | 0.959448 | + | 0.281884i | ||
−0.235605 | + | 0.971849i | ||||||||
−13.1265 | − | 22.7358i | −0.518062 | − | 0.897310i | |||||
−1.86917 | + | 3.23749i | −0.0737127 | + | 0.127674i | −0.900526 | − | 0.434803i | ||
0.826813 | + | 0.562477i | ||||||||
24.0422 | + | 4.33117i | 0.947394 | + | 0.170672i | |||||
4.65368 | 0.183238 | |||||||||
58.0297 | 2.28315 | |||||||||
−1.52619 | −0.0600006 | −0.0300003 | − | 0.999550i | ||||||
−0.0300003 | + | 0.999550i | ||||||||
−1.31110 | −0.0515048 | |||||||||
−0.696361 | − | 1.20613i | −0.0273345 | − | 0.0473448i | |||||
−32.0569 | − | 62.7981i | −1.25737 | − | 2.46314i | |||||
0.727175 | − | 0.860123i | 0.0285002 | − | 0.0337109i | |||||
−6.82769 | − | 11.8259i | −0.267393 | − | 0.463138i | |||||
−4.47546 | + | 7.75172i | −0.175138 | + | 0.303348i | −0.940209 | − | 0.340598i | ||
0.765071 | + | 0.643946i | ||||||||
3.79515 | + | 6.57340i | 0.148402 | + | 0.257040i | |||||
16.0721 | − | 27.8377i | 0.627990 | − | 1.08771i | |||||
−5.02141 | −0.196053 | |||||||||
8.24845 | − | 14.2867i | 0.321803 | − | 0.557379i | |||||
25.5670 | + | 4.60587i | 0.996707 | + | 0.179555i | |||||
4.30599 | − | 7.45819i | 0.167737 | − | 0.290530i | −0.769887 | − | 0.638181i | ||
0.937624 | + | 0.347651i | ||||||||
−0.726825 | + | 1.25890i | −0.0282916 | + | 0.0490026i | |||||
−40.0783 | −1.55887 | −0.779433 | − | 0.626486i | ||||||
−0.779433 | + | 0.626486i | ||||||||
−5.05343 | + | 8.75279i | −0.196407 | + | 0.340187i | |||||
7.54381 | + | 14.7780i | 0.292977 | + | 0.573930i | |||||
−17.5540 | −0.681228 | |||||||||
24.8100 | + | 68.9585i | 0.962089 | + | 2.67409i | |||||
3.94925 | + | 6.84031i | 0.153031 | + | 0.265057i | |||||
6.10580 | 0.236417 | |||||||||
0.0306930 | − | 0.0531618i | 0.00118755 | − | 0.00205689i | |||||
−8.16232 | − | 14.1375i | −0.315573 | − | 0.546589i | |||||
−11.3242 | −0.437493 | |||||||||
−2.34153 | −0.0903938 | |||||||||
−5.63353 | − | 15.6582i | −0.217318 | − | 0.604029i | |||||
−22.0131 | − | 38.1277i | −0.848541 | − | 1.46972i | −0.882510 | − | 0.470294i | ||
0.0339689 | − | 0.999423i | ||||||||
0.456171 | − | 0.790112i | 0.0175711 | − | 0.0304340i | |||||
−5.40240 | + | 9.35723i | −0.207938 | + | 0.360160i | |||||
−6.76755 | − | 15.1387i | −0.260291 | − | 0.582258i | |||||
−12.0556 | − | 20.8809i | −0.463334 | − | 0.802518i | 0.535791 | − | 0.844351i | ||
−0.999125 | + | 0.0418328i | ||||||||
7.46213 | + | 12.9248i | 0.286581 | + | 0.496373i | |||||
−32.5314 | + | 38.4791i | −1.24844 | + | 1.47669i | |||||
11.9931 | − | 20.7726i | 0.459913 | − | 0.796592i | |||||
3.10289 | + | 5.37436i | 0.118903 | + | 0.205946i | |||||
0.110430 | + | 0.191270i | 0.00422856 | + | 0.00732409i | |||||
9.29276 | + | 16.0955i | 0.355578 | + | 0.615878i | 0.987217 | − | 0.159384i | ||
−0.631639 | + | 0.775263i | ||||||||
4.44379 | + | 7.69686i | 0.169912 | + | 0.294297i | |||||
3.00089 | − | 5.19769i | 0.114658 | − | 0.198594i | |||||
29.2127 | − | 16.4359i | 1.11535 | − | 0.627526i | |||||
0.261463 | + | 0.452867i | 0.00997543 | + | 0.0172779i | |||||
−2.88201 | − | 4.99178i | −0.109875 | − | 0.190310i | |||||
−2.25262 | + | 3.47447i | −0.0858182 | + | 0.132367i | |||||
−26.0412 | + | 45.1047i | −0.991372 | + | 1.71711i | |||||
11.3187 | − | 19.6045i | 0.430583 | − | 0.745792i | −0.566340 | − | 0.824171i | ||
0.996924 | + | 0.0783796i | ||||||||
8.94801 | + | 15.4984i | 0.340152 | + | 0.589161i | |||||
0.746401 | + | 0.134463i | 0.0283534 | + | 0.00510783i | |||||
−21.9598 | −0.833581 | |||||||||
16.0716 | 0.609632 | |||||||||
−0.552962 | − | 0.957758i | −0.0209600 | − | 0.0363037i | |||||
2.34640 | − | 4.06409i | 0.0888763 | − | 0.153938i | |||||
−39.4860 | −1.49457 | |||||||||
−6.48273 | − | 11.2284i | −0.245199 | − | 0.424697i | |||||
−35.8870 | − | 6.46500i | −1.35640 | − | 0.244354i | |||||
50.1432 | 1.89388 | 0.946941 | − | 0.321407i | ||||||
0.946941 | + | 0.321407i | ||||||||
−3.54993 | + | 5.47545i | −0.133983 | + | 0.206657i | |||||
−15.2036 | + | 26.3335i | −0.573416 | + | 0.993185i | |||||
0.440077 | 0.0165860 | |||||||||
−10.7842 | + | 18.6787i | −0.406156 | + | 0.703482i | |||||
10.9387 | − | 18.9464i | 0.411683 | − | 0.713056i | |||||
23.6651 | + | 4.26324i | 0.890018 | + | 0.160336i | |||||
3.09872 | − | 5.36715i | 0.116457 | − | 0.201710i | |||||
−29.7112 | −1.11583 | −0.557913 | − | 0.829899i | ||||||
−0.557913 | + | 0.829899i | ||||||||
23.1948 | − | 40.1746i | 0.870487 | − | 1.50773i | |||||
−3.84412 | − | 6.65821i | −0.144166 | − | 0.249702i | |||||
−1.45251 | + | 2.51582i | −0.0544351 | + | 0.0942843i | |||||
1.54076 | + | 2.66868i | 0.0577020 | + | 0.0999428i | |||||
21.6864 | + | 3.90678i | 0.811594 | + | 0.146208i | |||||
−1.86816 | − | 3.65964i | −0.0698651 | − | 0.136863i | |||||
−2.99673 | − | 5.19049i | −0.111993 | − | 0.193978i | |||||
−4.79605 | −0.179112 | |||||||||
26.1353 | 0.975361 | |||||||||
−29.8693 | −1.11394 | −0.556968 | − | 0.830534i | ||||||
−0.556968 | + | 0.830534i | ||||||||
19.5757 | 0.729544 | |||||||||
−4.19934 | − | 11.6719i | −0.156392 | − | 0.434686i | |||||
−26.7369 | + | 46.3096i | −0.995044 | + | 1.72347i | |||||
−5.20975 | − | 9.02355i | −0.193753 | − | 0.335589i | |||||
14.0557 | + | 24.3453i | 0.522378 | + | 0.904785i | |||||
−9.11394 | −0.338483 | |||||||||
9.87985 | − | 17.1124i | 0.366676 | − | 0.635101i | |||||
36.0210 | 1.33594 | 0.667972 | − | 0.744186i | ||||||
0.667972 | + | 0.744186i | ||||||||
12.1782 | + | 2.84942i | 0.451353 | + | 0.105607i | |||||
1.00000 | 0.0370370 | |||||||||
−59.3486 | + | 102.795i | −2.19659 | + | 3.80461i | |||||
5.38681 | 0.199238 | |||||||||
−5.20977 | − | 9.02358i | −0.192559 | − | 0.333521i | |||||
8.97642 | + | 15.5476i | 0.331552 | + | 0.574265i | 0.982816 | − | 0.184586i | ||
−0.651265 | + | 0.758851i | ||||||||
−22.0610 | + | 38.2108i | −0.814286 | + | 1.41038i | |||||
4.62924 | + | 27.4409i | 0.170752 | + | 1.01217i | |||||
45.5280 | 1.67818 | |||||||||
−0.451158 | −0.0166186 | |||||||||
1.84564 | 0.0679388 | |||||||||
44.4938 | 1.63673 | 0.818366 | − | 0.574698i | ||||||
0.818366 | + | 0.574698i | ||||||||
−11.0655 | − | 19.1661i | −0.406777 | − | 0.704559i | |||||
−25.0882 | − | 1.29585i | −0.921637 | − | 0.0476042i | |||||
1.86171 | + | 5.17457i | 0.0683456 | + | 0.189964i | |||||
−10.7390 | − | 18.6004i | −0.393975 | − | 0.682384i | 0.598995 | − | 0.800753i | ||
−0.992970 | + | 0.118368i | ||||||||
0.279073 | − | 0.483369i | 0.0102313 | − | 0.0177212i | |||||
−38.1546 | − | 66.0857i | −1.39788 | − | 2.42119i | |||||
7.60169 | − | 13.1665i | 0.278318 | − | 0.482061i | |||||
13.3888 | 0.489870 | |||||||||
−0.841329 | + | 1.45722i | −0.0307620 | + | 0.0532814i | |||||
24.7777 | − | 29.3078i | 0.905359 | − | 1.07088i | |||||
20.8831 | − | 36.1706i | 0.762544 | − | 1.32077i | |||||
−1.60018 | + | 2.77159i | −0.0583913 | + | 0.101137i | −0.893743 | − | 0.448579i | ||
0.835352 | + | 0.549715i | ||||||||
26.7144 | 0.974174 | |||||||||
−5.10645 | + | 8.84463i | −0.186089 | + | 0.322316i | |||||
−5.49701 | − | 0.283930i | −0.200189 | − | 0.0103401i | |||||
−75.3230 | −2.74128 | |||||||||
1.14252 | + | 3.17559i | 0.0415529 | + | 0.115495i | |||||
−12.8640 | − | 22.2811i | −0.467550 | − | 0.809821i | 0.531762 | − | 0.846894i | ||
−0.999313 | + | 0.0370727i | ||||||||
6.62026 | 0.240459 | |||||||||
−1.03748 | + | 1.79698i | −0.0376583 | + | 0.0652261i | |||||
18.1583 | + | 31.4512i | 0.658672 | + | 1.14085i | |||||
28.7496 | 1.04217 | 0.521087 | − | 0.853504i | ||||||
0.521087 | + | 0.853504i | ||||||||
14.1955 | 0.514249 | |||||||||
−7.16377 | + | 8.47351i | −0.259346 | + | 0.306762i | |||||
−7.07782 | − | 12.2591i | −0.256066 | − | 0.443520i | |||||
−9.14733 | + | 15.8436i | −0.330723 | + | 0.572828i | |||||
27.7860 | − | 48.1268i | 1.00395 | − | 1.73889i | |||||
7.96464 | + | 15.6024i | 0.287587 | + | 0.563370i | |||||
−10.4042 | − | 18.0206i | −0.375429 | − | 0.650262i | |||||
8.98213 | + | 15.5575i | 0.323904 | + | 0.561018i | 0.981290 | − | 0.192536i | ||
−0.657386 | + | 0.753554i | ||||||||
−5.37045 | − | 0.967480i | −0.193538 | − | 0.0348656i | |||||
3.18140 | − | 5.51035i | 0.114575 | − | 0.198450i | |||||
0.310112 | + | 0.537131i | 0.0111612 | + | 0.0193318i | |||||
−19.8326 | − | 34.3511i | −0.713329 | − | 1.23552i | −0.963601 | − | 0.267346i | ||
0.250272 | − | 0.968176i | ||||||||
1.05929 | + | 1.83475i | 0.0380755 | + | 0.0659486i | |||||
−2.29985 | − | 3.98345i | −0.0826130 | − | 0.143090i | |||||
−12.4848 | + | 21.6243i | −0.448179 | + | 0.776269i | |||||
−7.45466 | + | 8.81758i | −0.267434 | + | 0.316329i | |||||
−16.6849 | − | 28.8990i | −0.598182 | − | 1.03608i | |||||
3.55262 | + | 6.15331i | 0.127286 | + | 0.220465i | |||||
9.94666 | − | 15.3418i | 0.356148 | − | 0.549326i | |||||
0.924084 | − | 1.60056i | 0.0330663 | − | 0.0572725i | |||||
−30.1437 | + | 52.2105i | −1.07794 | + | 1.86704i | |||||
0.421754 | + | 0.730500i | 0.0150723 | + | 0.0261059i | |||||
26.5677 | − | 21.9596i | 0.948848 | − | 0.784273i | |||||
−74.0855 | −2.64422 | |||||||||
14.6337 | 0.521965 | |||||||||
19.7833 | + | 34.2657i | 0.705199 | + | 1.22144i | 0.966620 | + | 0.256215i | ||
−0.261421 | + | 0.965225i | ||||||||
−10.8911 | + | 18.8639i | −0.387978 | + | 0.671998i | |||||
−17.0135 | −0.605698 | |||||||||
27.6589 | + | 47.9067i | 0.984061 | + | 1.70444i | |||||
−14.0856 | + | 16.6608i | −0.500826 | + | 0.592391i | |||||
0.375832 | 0.0133546 | |||||||||
29.4127 | + | 1.51922i | 1.04447 | + | 0.0539489i | |||||
2.04571 | − | 3.54328i | 0.0725996 | − | 0.125746i | |||||
−4.56570 | −0.161929 | |||||||||
−14.7774 | + | 25.5952i | −0.523772 | + | 0.907199i | |||||
−9.72309 | + | 16.8409i | −0.344409 | + | 0.596535i | −0.985246 | − | 0.171142i | ||
0.640837 | + | 0.767677i | ||||||||
−21.5400 | + | 25.4782i | −0.762509 | + | 0.901917i | |||||
−12.4831 | + | 21.6214i | −0.441621 | + | 0.764909i | |||||
−67.9582 | −2.40269 | |||||||||
1.10786 | − | 1.91886i | 0.0391442 | − | 0.0677997i | |||||
−25.8101 | − | 44.7044i | −0.911386 | − | 1.57857i | |||||
−2.36445 | + | 4.09535i | −0.0834398 | + | 0.144522i | |||||
−1.00380 | − | 1.73863i | −0.0354013 | − | 0.0613168i | |||||
−74.9309 | − | 13.4987i | −2.64097 | − | 0.475767i | |||||
−1.26304 | − | 2.47424i | −0.0444887 | − | 0.0871515i | |||||
4.53019 | + | 7.84653i | 0.159470 | + | 0.276211i | |||||
11.9160 | 0.419203 | |||||||||
−17.3084 | −0.608531 | −0.304265 | − | 0.952587i | ||||||
−0.304265 | + | 0.952587i | ||||||||
−7.19513 | −0.252811 | |||||||||
−2.62646 | −0.0922275 | −0.0461138 | − | 0.998936i | ||||||
−0.0461138 | + | 0.998936i | ||||||||
−1.83791 | + | 2.17393i | −0.0644978 | + | 0.0762899i | |||||
−1.11398 | + | 1.92947i | −0.0390690 | + | 0.0676696i | |||||
−1.13207 | − | 1.96080i | −0.0396791 | − | 0.0687262i | |||||
21.2795 | + | 36.8572i | 0.745388 | + | 1.29105i | |||||
22.6596 | 0.793246 | |||||||||
−4.07801 | + | 7.06331i | −0.142671 | + | 0.247114i | |||||
19.6442 | 0.686842 | |||||||||
−9.28853 | − | 2.17331i | −0.324567 | − | 0.0759415i | |||||
−5.17135 | −0.180591 | |||||||||
16.1977 | − | 28.0553i | 0.565305 | − | 0.979137i | −0.431716 | − | 0.902009i | ||
0.997021 | − | 0.0771274i | ||||||||
2.73231 | 0.0953001 | |||||||||
20.5081 | + | 35.5210i | 0.714866 | + | 1.23818i | 0.963011 | + | 0.269461i | ||
−0.248145 | + | 0.968723i | ||||||||
−3.07349 | − | 5.32344i | −0.107070 | − | 0.185451i | |||||
1.54862 | − | 2.68229i | 0.0539161 | − | 0.0933854i | |||||
22.8962 | + | 4.12472i | 0.796661 | + | 0.143517i | |||||
−44.2260 | −1.53789 | −0.768944 | − | 0.639316i | ||||||
−0.768944 | + | 0.639316i | ||||||||
−9.23336 | −0.320882 | |||||||||
−5.49562 | −0.190871 | −0.0954354 | − | 0.995436i | ||||||
−0.0954354 | + | 0.995436i | ||||||||
−96.3339 | −3.34380 | |||||||||
3.90377 | + | 6.76153i | 0.135420 | + | 0.234555i | |||||
−5.52794 | − | 0.285528i | −0.191647 | − | 0.00989890i | |||||
5.35853 | + | 31.7640i | 0.185662 | + | 1.10056i | |||||
3.65830 | + | 6.33637i | 0.126677 | + | 0.219411i | |||||
−0.0956591 | + | 0.165686i | −0.00331042 | + | 0.00573382i | |||||
−1.27383 | − | 2.20634i | −0.0440564 | − | 0.0763079i | |||||
−0.212854 | + | 0.368675i | −0.00735732 | + | 0.0127433i | |||||
27.8095 | 0.960663 | |||||||||
−21.4269 | + | 37.1125i | −0.739739 | + | 1.28127i | 0.212873 | + | 0.977080i | ||
−0.952612 | + | 0.304186i | ||||||||
4.66858 | + | 12.9762i | 0.161081 | + | 0.447721i | |||||
14.1442 | − | 24.4986i | 0.487733 | − | 0.844778i | |||||
3.01970 | − | 5.23028i | 0.104066 | − | 0.180247i | |||||
−12.7531 | −0.439242 | |||||||||
1.79586 | − | 3.11052i | 0.0618160 | − | 0.107069i | |||||
21.0921 | + | 47.1819i | 0.725589 | + | 1.62311i | |||||
−9.81898 | −0.337584 | |||||||||
28.4282 | + | 5.12131i | 0.976806 | + | 0.175970i | |||||
2.82752 | + | 4.89741i | 0.0970975 | + | 0.168178i | |||||
16.3439 | 0.560920 | |||||||||
44.9946 | − | 77.9330i | 1.54330 | − | 2.67308i | |||||
−15.7952 | − | 27.3580i | −0.541451 | − | 0.937821i | |||||
8.22413 | 0.281754 | |||||||||
−46.0876 | −1.57801 | −0.789004 | − | 0.614388i | ||||||
−0.789004 | + | 0.614388i | ||||||||
25.2529 | − | 29.8699i | 0.864137 | − | 1.02213i | |||||
−13.8497 | − | 23.9884i | −0.473650 | − | 0.820386i | |||||
9.50913 | − | 16.4703i | 0.325015 | − | 0.562943i | |||||
3.33662 | − | 5.77919i | 0.113977 | − | 0.197413i | −0.803394 | − | 0.595448i | ||
0.917370 | + | 0.398035i | ||||||||
1.01760 | − | 1.56956i | 0.0347404 | − | 0.0535839i | |||||
8.20940 | + | 14.2191i | 0.280101 | + | 0.485149i | 0.971409 | − | 0.237411i | ||
−0.691308 | + | 0.722560i | ||||||||
−2.96806 | − | 5.14084i | −0.101210 | − | 0.175301i | |||||
0.913393 | + | 2.53875i | 0.0311284 | + | 0.0865203i | |||||
3.85584 | − | 6.67851i | 0.131330 | − | 0.227471i | |||||
4.92500 | + | 8.53035i | 0.167649 | + | 0.290377i | 0.937593 | − | 0.347735i | ||
−0.769944 | + | 0.638112i | ||||||||
3.14482 | + | 5.44698i | 0.106989 | + | 0.185310i | |||||
−27.8878 | − | 48.3030i | −0.948213 | − | 1.64235i | |||||
−10.0703 | − | 17.4423i | −0.342204 | − | 0.592714i | |||||
−2.08840 | + | 3.61721i | −0.0709256 | + | 0.122847i | |||||
−1.41395 | − | 0.254721i | −0.0479925 | − | 0.00864579i | |||||
1.10193 | + | 1.90861i | 0.0373805 | + | 0.0647450i | |||||
−3.03458 | − | 5.25604i | −0.102882 | − | 0.178196i | |||||
5.66713 | + | 0.292717i | 0.192023 | + | 0.00991834i | |||||
−2.74929 | + | 4.76191i | −0.0931027 | + | 0.161259i | |||||
9.52241 | − | 16.4933i | 0.322285 | − | 0.558214i | |||||
−45.6397 | − | 79.0503i | −1.54379 | − | 2.67392i | |||||
60.0890 | + | 10.8250i | 2.03138 | + | 0.365951i | |||||
−21.0431 | −0.710980 | |||||||||
6.04112 | 0.203994 | 0.101997 | − | 0.994785i | ||||||
0.101997 | + | 0.994785i | ||||||||
−37.1043 | − | 64.2665i | −1.25221 | − | 2.16889i | |||||
11.8319 | − | 20.4935i | 0.399080 | − | 0.691227i | |||||
−5.61146 | −0.189162 | |||||||||
15.5861 | + | 26.9959i | 0.525109 | + | 0.909516i | 0.999572 | + | 0.0292404i | ||
−0.474463 | + | 0.880275i | ||||||||
−9.76507 | + | 8.07135i | −0.328807 | + | 0.271777i | |||||
−18.2205 | −0.613169 | −0.306584 | − | 0.951844i | ||||||
−0.306584 | + | 0.951844i | ||||||||
11.5136 | − | 17.7588i | 0.387246 | − | 0.597292i | |||||
−9.65762 | + | 16.7275i | −0.324637 | + | 0.562288i | |||||
28.6932 | 0.963967 | |||||||||
−3.70842 | + | 6.42317i | −0.124517 | + | 0.215669i | −0.921544 | − | 0.388274i | ||
0.797027 | + | 0.603943i | ||||||||
−2.86093 | + | 4.95527i | −0.0960064 | + | 0.166288i | |||||
7.02526 | + | 19.5265i | 0.235620 | + | 0.654898i | |||||
−7.97117 | + | 13.8065i | −0.267194 | + | 0.462794i | |||||
−0.286654 | −0.00960328 | |||||||||
−10.4117 | + | 18.0336i | −0.348609 | + | 0.603808i | |||||
−18.9003 | − | 32.7363i | −0.632474 | − | 1.09548i | |||||
17.3699 | − | 30.0855i | 0.580935 | − | 1.00621i | |||||
9.33975 | + | 16.1769i | 0.312194 | + | 0.540735i | |||||
16.7412 | − | 19.8019i | 0.559283 | − | 0.661535i | |||||
14.1980 | − | 21.8992i | 0.474059 | − | 0.731193i | |||||
−13.6644 | − | 23.6674i | −0.455986 | − | 0.789790i | |||||
−0.359089 | −0.0119763 | |||||||||
13.7824 | 0.459412 | |||||||||
−5.28498 | −0.176068 | |||||||||
−0.529060 | −0.0176158 | |||||||||
−1.99953 | + | 2.36510i | −0.0665402 | + | 0.0787056i | |||||
−5.40573 | + | 9.36299i | −0.179792 | + | 0.311409i | |||||
−43.8068 | − | 75.8756i | −1.45619 | − | 2.52219i | |||||
−17.1454 | − | 29.6967i | −0.569617 | − | 0.986605i | |||||
−17.4144 | −0.578234 | −0.289117 | − | 0.957294i | ||||||
−0.289117 | + | 0.957294i | ||||||||
3.95797 | − | 6.85541i | 0.131350 | − | 0.227505i | |||||
−9.08855 | −0.301448 | |||||||||
66.8321 | + | 15.6372i | 2.21546 | + | 0.518369i | |||||
−40.5753 | −1.34432 | −0.672159 | − | 0.740407i | ||||||
−0.672159 | + | 0.740407i | ||||||||
−17.1541 | + | 29.7119i | −0.568031 | + | 0.983858i | |||||
−3.83795 | −0.127018 | |||||||||
0.0252004 | + | 0.0436483i | 0.000833554 | + | 0.00144376i | |||||
16.2370 | + | 28.1233i | 0.536779 | + | 0.929728i | |||||
0.333516 | − | 0.577667i | 0.0110197 | − | 0.0190867i | |||||
7.24209 | + | 20.1292i | 0.239155 | + | 0.664724i | |||||
−8.32864 | −0.274886 | |||||||||
−48.5466 | −1.60140 | −0.800702 | − | 0.599062i | ||||||
−0.800702 | + | 0.599062i | ||||||||
−37.7297 | −1.24391 | |||||||||
8.99691 | 0.296458 | |||||||||
25.4363 | + | 44.0570i | 0.837700 | + | 1.45094i | |||||
−12.6462 | + | 19.5056i | −0.416253 | + | 0.642033i | |||||
−0.327507 | − | 0.910296i | −0.0107742 | − | 0.0299465i | |||||
23.5770 | + | 40.8365i | 0.775206 | + | 1.34270i | |||||
0.241198 | − | 0.417767i | 0.00792625 | − | 0.0137287i | |||||
2.34421 | + | 4.06029i | 0.0769939 | + | 0.133357i | |||||
−2.65268 | + | 4.59458i | −0.0870785 | + | 0.150824i | |||||
−8.13928 | −0.267041 | −0.133521 | − | 0.991046i | ||||||
−0.133521 | + | 0.991046i | ||||||||
1.53151 | − | 2.65266i | 0.0502203 | − | 0.0869842i | |||||
−45.7062 | − | 17.0202i | −1.49796 | − | 0.557815i | |||||
−8.26922 | + | 14.3227i | −0.270867 | + | 0.469156i | |||||
15.4498 | − | 26.7598i | 0.505803 | − | 0.876077i | |||||
67.1096 | 2.19589 | |||||||||
2.62212 | − | 4.54165i | 0.0857526 | − | 0.148528i | |||||
−4.72094 | − | 0.243845i | −0.154309 | − | 0.00797032i | |||||
30.6536 | 1.00141 | 0.500705 | − | 0.865618i | ||||||
0.500705 | + | 0.865618i | ||||||||
4.86565 | − | 5.75522i | 0.158869 | − | 0.187915i | |||||
3.74574 | + | 6.48782i | 0.122238 | + | 0.211722i | |||||
27.5121 | 0.897347 | |||||||||
4.34815 | − | 7.53122i | 0.141746 | − | 0.245511i | −0.786408 | − | 0.617707i | ||
0.928154 | + | 0.372196i | ||||||||
−16.8637 | − | 29.2088i | −0.549449 | − | 0.951673i | |||||
−7.38168 | −0.240381 | |||||||||
23.9237 | 0.778651 | |||||||||
−3.56082 | − | 9.89718i | −0.115833 | − | 0.321955i | |||||
−0.303651 | − | 0.525938i | −0.00987254 | − | 0.0170997i | |||||
5.73610 | − | 9.93522i | 0.186398 | − | 0.322851i | −0.757649 | − | 0.652663i | ||
0.944047 | + | 0.329812i | ||||||||
−4.90348 | + | 8.49307i | −0.159258 | + | 0.275842i | |||||
32.3577 | − | 49.9089i | 1.05038 | − | 1.62011i | |||||
68.1250 | + | 117.996i | 2.21027 | + | 3.82830i | |||||
8.11402 | + | 14.0539i | 0.263115 | + | 0.455729i | |||||
5.40407 | + | 15.0204i | 0.175147 | + | 0.486815i | |||||
−23.1731 | + | 40.1370i | −0.750650 | + | 1.30016i | 0.196859 | + | 0.980432i | ||
−0.947508 | + | 0.319731i | ||||||||
−1.03927 | − | 1.80006i | −0.0336475 | − | 0.0582792i | |||||
22.0590 | + | 38.2074i | 0.713814 | + | 1.23636i | |||||
3.05887 | + | 5.29812i | 0.0989310 | + | 0.171353i | |||||
−0.120898 | − | 0.209401i | −0.00390807 | − | 0.00676897i | |||||
−26.0607 | + | 45.1384i | −0.841983 | + | 1.45836i | |||||
1.35220 | + | 3.75839i | 0.0436648 | + | 0.121365i | |||||
−3.05165 | − | 5.28562i | −0.0984916 | − | 0.170593i | |||||
15.4094 | + | 26.6898i | 0.497077 | + | 0.860963i | |||||
12.9481 | + | 25.3648i | 0.417463 | + | 0.817793i | |||||
−7.25279 | + | 12.5622i | −0.233718 | + | 0.404811i | |||||
−6.64544 | + | 11.5102i | −0.214035 | + | 0.370720i | |||||
−0.966511 | − | 1.67405i | −0.0311131 | − | 0.0538894i | |||||
−11.7342 | − | 32.6147i | −0.377541 | − | 1.04936i | |||||
8.71419 | 0.280229 | 0.140115 | − | 0.990135i | ||||||
0.140115 | + | 0.990135i | ||||||||
14.3144 | 0.460081 | |||||||||
−16.0316 | − | 27.7675i | −0.515008 | − | 0.892021i | |||||
−68.5149 | + | 118.671i | −2.19988 | + | 3.81031i | |||||
40.0563 | 1.28547 | 0.642733 | − | 0.766090i | ||||||
0.642733 | + | 0.766090i | ||||||||
−0.637789 | − | 1.10468i | −0.0204571 | − | 0.0354327i | |||||
−6.90545 | + | 8.16797i | −0.221379 | + | 0.261853i | |||||
−24.8499 | −0.796243 | |||||||||
−21.1930 | + | 32.6883i | −0.678719 | + | 1.04686i | |||||
20.1110 | − | 34.8333i | 0.643738 | − | 1.11499i | |||||
−42.3067 | −1.35351 | −0.676755 | − | 0.736208i | ||||||
−0.676755 | + | 0.736208i | ||||||||
−9.68748 | + | 16.7792i | −0.309771 | + | 0.536540i | |||||
−0.317572 | + | 0.550050i | −0.0101496 | + | 0.0175797i | |||||
27.3611 | − | 22.6154i | 0.874017 | − | 0.722422i | |||||
2.09694 | − | 3.63200i | 0.0669500 | − | 0.115961i | |||||
−49.8189 | −1.58979 | |||||||||
2.44395 | − | 4.23305i | 0.0779501 | − | 0.135013i | −0.824415 | − | 0.565985i | ||
0.902365 | + | 0.430972i | ||||||||
0.668510 | + | 1.15789i | 0.0213113 | + | 0.0369123i | |||||
33.9436 | − | 58.7920i | 1.08153 | − | 1.87327i | |||||
−3.51264 | − | 6.08407i | −0.111865 | − | 0.193756i | |||||
−4.85935 | − | 13.5064i | −0.154675 | − | 0.429913i | |||||
14.5695 | + | 28.5410i | 0.463517 | + | 0.908009i | |||||
−4.23667 | − | 7.33813i | −0.134718 | − | 0.233339i | |||||
2.06251 | 0.0655510 | |||||||||
−18.5959 | −0.590718 | −0.295359 | − | 0.955386i | ||||||
−0.295359 | + | 0.955386i | ||||||||
−2.67755 | −0.0850124 | |||||||||
5.58434 | 0.177214 | |||||||||
10.4516 | + | 29.0498i | 0.331504 | + | 0.921405i | |||||
46.0560 | − | 79.7713i | 1.46007 | − | 2.52892i | |||||
−8.53922 | − | 14.7904i | −0.270575 | − | 0.468650i | |||||
12.8181 | + | 22.2017i | 0.405954 | + | 0.703133i | 0.994432 | − | 0.105380i | ||
−0.588478 | + | 0.808513i | ||||||||
−7.04276 | −0.222935 | |||||||||
2.18208 | − | 3.77948i | 0.0690380 | − | 0.119577i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 273.2.j.c.172.3 | yes | 20 | |
3.2 | odd | 2 | 819.2.n.f.172.8 | 20 | |||
7.2 | even | 3 | 273.2.l.c.16.8 | yes | 20 | ||
13.9 | even | 3 | 273.2.l.c.256.8 | yes | 20 | ||
21.2 | odd | 6 | 819.2.s.f.289.3 | 20 | |||
39.35 | odd | 6 | 819.2.s.f.802.3 | 20 | |||
91.9 | even | 3 | inner | 273.2.j.c.100.3 | ✓ | 20 | |
273.191 | odd | 6 | 819.2.n.f.100.8 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.j.c.100.3 | ✓ | 20 | 91.9 | even | 3 | inner | |
273.2.j.c.172.3 | yes | 20 | 1.1 | even | 1 | trivial | |
273.2.l.c.16.8 | yes | 20 | 7.2 | even | 3 | ||
273.2.l.c.256.8 | yes | 20 | 13.9 | even | 3 | ||
819.2.n.f.100.8 | 20 | 273.191 | odd | 6 | |||
819.2.n.f.172.8 | 20 | 3.2 | odd | 2 | |||
819.2.s.f.289.3 | 20 | 21.2 | odd | 6 | |||
819.2.s.f.802.3 | 20 | 39.35 | odd | 6 |