Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1176,2,Mod(589,1176)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1176, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1176.589");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 1176.c (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: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 168) |
Sato-Tate group: |
Embedding invariants
Embedding label | 589.6 | ||
Root | of defining polynomial | ||
Character | 1176.589 | ||
Dual form | 1176.2.c.e.589.5 |
-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 .
−1.11882 | + | 0.865014i | −0.791123 | + | 0.611657i | |||||
− | 1.00000i | − | 0.577350i | |||||||
0.503501 | − | 1.93558i | 0.251750 | − | 0.967792i | |||||
− | 3.57776i | − | 1.60002i | −0.599985 | − | 0.800012i | ||||
0.599985 | − | 0.800012i | ||||||||
0.865014 | + | 1.11882i | 0.353141 | + | 0.456755i | |||||
0 | 0 | |||||||||
1.11098 | + | 2.60110i | 0.392792 | + | 0.919627i | |||||
−1.00000 | −0.333333 | |||||||||
3.09481 | + | 4.00286i | 0.978666 | + | 1.26581i | |||||
− | 0.941967i | − | 0.284014i | −0.989866 | − | 0.142007i | ||||
0.989866 | − | 0.142007i | ||||||||
−1.93558 | − | 0.503501i | −0.558755 | − | 0.145348i | |||||
− | 6.15117i | − | 1.70603i | −0.521889 | − | 0.853013i | ||||
0.521889 | − | 0.853013i | ||||||||
0 | 0 | |||||||||
−3.57776 | −0.923774 | |||||||||
−3.49297 | − | 1.94914i | −0.873243 | − | 0.487284i | |||||
−3.78375 | −0.917694 | −0.458847 | − | 0.888515i | ||||||
−0.458847 | + | 0.888515i | ||||||||
1.11882 | − | 0.865014i | 0.263708 | − | 0.203886i | |||||
− | 2.41460i | − | 0.553946i | −0.960878 | − | 0.276973i | ||||
0.960878 | − | 0.276973i | ||||||||
−6.92506 | − | 1.80141i | −1.54849 | − | 0.402806i | |||||
0 | 0 | |||||||||
0.814815 | + | 1.05389i | 0.173719 | + | 0.224690i | |||||
2.98743 | 0.622922 | 0.311461 | − | 0.950259i | ||||||
0.311461 | + | 0.950259i | ||||||||
2.60110 | − | 1.11098i | 0.530947 | − | 0.226778i | |||||
−7.80037 | −1.56007 | |||||||||
5.32085 | + | 6.88203i | 1.04350 | + | 1.34968i | |||||
1.00000i | 0.192450i | |||||||||
0 | 0 | |||||||||
2.68125i | 0.497897i | 0.968517 | + | 0.248948i | ||||||
−0.968517 | + | 0.248948i | ||||||||
4.00286 | − | 3.09481i | 0.730818 | − | 0.565033i | |||||
10.7137 | 1.92424 | 0.962120 | − | 0.272625i | ||||||
0.962120 | + | 0.272625i | ||||||||
5.59403 | − | 0.840746i | 0.988894 | − | 0.148624i | |||||
−0.941967 | −0.163975 | |||||||||
4.23332 | − | 3.27300i | 0.726009 | − | 0.561314i | |||||
0 | 0 | |||||||||
−0.503501 | + | 1.93558i | −0.0839168 | + | 0.322597i | |||||
1.70724i | 0.280668i | 0.990104 | + | 0.140334i | ||||||
−0.990104 | + | 0.140334i | ||||||||
2.08866 | + | 2.70149i | 0.338825 | + | 0.438239i | |||||
−6.15117 | −0.984975 | |||||||||
9.30611 | − | 3.97483i | 1.47143 | − | 0.628476i | |||||
−4.56000 | −0.712152 | −0.356076 | − | 0.934457i | ||||||
−0.356076 | + | 0.934457i | ||||||||
0 | 0 | |||||||||
− | 3.50672i | − | 0.534770i | −0.963590 | − | 0.267385i | ||||
0.963590 | − | 0.267385i | ||||||||
−1.82326 | − | 0.474281i | −0.274866 | − | 0.0715006i | |||||
3.57776i | 0.533341i | |||||||||
−3.34238 | + | 2.58417i | −0.492808 | + | 0.381015i | |||||
−6.84583 | −0.998567 | −0.499284 | − | 0.866439i | ||||||
−0.499284 | + | 0.866439i | ||||||||
−1.94914 | + | 3.49297i | −0.281334 | + | 0.504167i | |||||
0 | 0 | |||||||||
8.72718 | − | 6.74743i | 1.23421 | − | 0.954231i | |||||
3.78375i | 0.529831i | |||||||||
−11.9061 | − | 3.09712i | −1.65108 | − | 0.429493i | |||||
7.59176i | 1.04281i | 0.853310 | + | 0.521404i | ||||||
−0.853310 | + | 0.521404i | ||||||||
−0.865014 | − | 1.11882i | −0.117714 | − | 0.152252i | |||||
−3.37013 | −0.454429 | |||||||||
0 | 0 | |||||||||
−2.41460 | −0.319821 | |||||||||
−2.31932 | − | 2.99983i | −0.304542 | − | 0.393897i | |||||
0.116189i | 0.0151266i | 0.999971 | + | 0.00756328i | ||||||
−0.999971 | + | 0.00756328i | ||||||||
−1.80141 | + | 6.92506i | −0.232560 | + | 0.894021i | |||||
8.15432i | 1.04405i | 0.852929 | + | 0.522027i | ||||||
−0.852929 | + | 0.522027i | ||||||||
−11.9867 | + | 9.26752i | −1.52231 | + | 1.17698i | |||||
0 | 0 | |||||||||
−5.53143 | + | 5.77955i | −0.691429 | + | 0.722444i | |||||
−22.0074 | −2.72968 | |||||||||
1.05389 | − | 0.814815i | 0.129725 | − | 0.100297i | |||||
− | 3.97580i | − | 0.485721i | −0.970061 | − | 0.242861i | ||||
0.970061 | − | 0.242861i | ||||||||
−1.90512 | + | 7.32377i | −0.231030 | + | 0.888137i | |||||
− | 2.98743i | − | 0.359644i | |||||||
0 | 0 | |||||||||
−3.92572 | −0.465897 | −0.232949 | − | 0.972489i | ||||||
−0.232949 | + | 0.972489i | ||||||||
−1.11098 | − | 2.60110i | −0.130931 | − | 0.306542i | |||||
6.22876 | 0.729022 | 0.364511 | − | 0.931199i | ||||||
0.364511 | + | 0.931199i | ||||||||
−1.47678 | − | 1.91008i | −0.171673 | − | 0.222043i | |||||
7.80037i | 0.900709i | |||||||||
−4.67365 | − | 1.21575i | −0.536105 | − | 0.139456i | |||||
0 | 0 | |||||||||
6.88203 | − | 5.32085i | 0.779236 | − | 0.602467i | |||||
−5.47255 | −0.615710 | −0.307855 | − | 0.951433i | ||||||
−0.307855 | + | 0.951433i | ||||||||
−6.97354 | + | 12.4970i | −0.779666 | + | 1.39721i | |||||
1.00000 | 0.111111 | |||||||||
5.10180 | − | 3.94446i | 0.563400 | − | 0.435593i | |||||
1.19560i | 0.131234i | 0.997845 | + | 0.0656172i | ||||||
−0.997845 | + | 0.0656172i | ||||||||
0 | 0 | |||||||||
13.5373i | 1.46833i | |||||||||
3.03337 | + | 3.92338i | 0.327096 | + | 0.423069i | |||||
2.68125 | 0.287461 | |||||||||
2.45015 | − | 1.04651i | 0.261187 | − | 0.111558i | |||||
−1.82102 | −0.193028 | −0.0965138 | − | 0.995332i | ||||||
−0.0965138 | + | 0.995332i | ||||||||
−3.09481 | − | 4.00286i | −0.326222 | − | 0.421938i | |||||
0 | 0 | |||||||||
1.50417 | − | 5.78242i | 0.156821 | − | 0.602859i | |||||
− | 10.7137i | − | 1.11096i | |||||||
7.65923 | − | 5.92174i | 0.789989 | − | 0.610781i | |||||
−8.63884 | −0.886327 | |||||||||
−0.840746 | − | 5.59403i | −0.0858082 | − | 0.570938i | |||||
12.0241 | 1.22086 | 0.610431 | − | 0.792069i | ||||||
0.610431 | + | 0.792069i | ||||||||
0 | 0 | |||||||||
0.941967i | 0.0946713i | |||||||||
−3.92749 | + | 15.0983i | −0.392749 | + | 1.50983i | |||||
1.78101i | 0.177217i | 0.996067 | + | 0.0886085i | ||||||
−0.996067 | + | 0.0886085i | ||||||||
−3.27300 | − | 4.23332i | −0.324075 | − | 0.419161i | |||||
−12.4230 | −1.22407 | −0.612037 | − | 0.790829i | ||||||
−0.612037 | + | 0.790829i | ||||||||
15.9998 | − | 6.83384i | 1.56891 | − | 0.670113i | |||||
0 | 0 | |||||||||
−6.56698 | − | 8.49379i | −0.637842 | − | 0.824990i | |||||
− | 9.71411i | − | 0.939098i | −0.882906 | − | 0.469549i | ||||
0.882906 | − | 0.469549i | ||||||||
1.93558 | + | 0.503501i | 0.186252 | + | 0.0484494i | |||||
− | 14.2775i | − | 1.36753i | −0.729700 | − | 0.683767i | ||||
0.729700 | − | 0.683767i | ||||||||
3.77056 | − | 2.91521i | 0.359509 | − | 0.277955i | |||||
1.70724 | 0.162044 | |||||||||
0 | 0 | |||||||||
−13.8775 | −1.30549 | −0.652743 | − | 0.757580i | ||||||
−0.652743 | + | 0.757580i | ||||||||
2.70149 | − | 2.08866i | 0.253018 | − | 0.195621i | |||||
− | 10.6883i | − | 0.996690i | |||||||
5.18980 | + | 1.35001i | 0.481860 | + | 0.125346i | |||||
6.15117i | 0.568676i | |||||||||
−0.100505 | − | 0.129995i | −0.00925228 | − | 0.0119670i | |||||
0 | 0 | |||||||||
−3.97483 | − | 9.30611i | −0.362851 | − | 0.849528i | |||||
10.1127 | 0.919336 | |||||||||
−7.05360 | − | 9.12318i | −0.638603 | − | 0.825974i | |||||
4.56000i | 0.411161i | |||||||||
5.39437 | − | 20.7373i | 0.484428 | − | 1.86227i | |||||
10.0191i | 0.896131i | |||||||||
0 | 0 | |||||||||
7.77389 | 0.689822 | 0.344911 | − | 0.938635i | ||||||
0.344911 | + | 0.938635i | ||||||||
1.18926 | − | 11.2510i | 0.105117 | − | 0.994460i | |||||
−3.50672 | −0.308750 | |||||||||
24.6222 | − | 19.0367i | 2.15951 | − | 1.66963i | |||||
7.04522i | 0.615543i | 0.951460 | + | 0.307772i | ||||||
−0.951460 | + | 0.307772i | ||||||||
−0.474281 | + | 1.82326i | −0.0412809 | + | 0.158694i | |||||
0 | 0 | |||||||||
3.43912 | + | 4.44819i | 0.297095 | + | 0.384265i | |||||
3.57776 | 0.307925 | |||||||||
−4.20368 | − | 9.84191i | −0.360463 | − | 0.843937i | |||||
−18.1076 | −1.54704 | −0.773518 | − | 0.633775i | ||||||
−0.773518 | + | 0.633775i | ||||||||
2.58417 | + | 3.34238i | 0.219979 | + | 0.284523i | |||||
− | 8.32721i | − | 0.706305i | −0.935566 | − | 0.353152i | ||||
0.935566 | − | 0.353152i | ||||||||
0 | 0 | |||||||||
6.84583i | 0.576523i | |||||||||
4.39216 | − | 3.39580i | 0.368582 | − | 0.284969i | |||||
−5.79420 | −0.484535 | |||||||||
3.49297 | + | 1.94914i | 0.291081 | + | 0.162428i | |||||
9.59289 | 0.796646 | |||||||||
−6.96884 | + | 5.38797i | −0.576746 | + | 0.445911i | |||||
0 | 0 | |||||||||
3.30450 | + | 0.859595i | 0.271628 | + | 0.0706582i | |||||
20.7056i | 1.69627i | 0.529782 | + | 0.848134i | ||||||
−0.529782 | + | 0.848134i | ||||||||
−6.74743 | − | 8.72718i | −0.550925 | − | 0.712572i | |||||
3.95566 | 0.321907 | 0.160954 | − | 0.986962i | ||||||
0.160954 | + | 0.986962i | ||||||||
6.28060 | − | 2.68257i | 0.509424 | − | 0.217585i | |||||
3.78375 | 0.305898 | |||||||||
0 | 0 | |||||||||
− | 38.3311i | − | 3.07883i | |||||||
−3.09712 | + | 11.9061i | −0.247968 | + | 0.953251i | |||||
11.8706i | 0.947381i | 0.880691 | + | 0.473690i | ||||||
−0.880691 | + | 0.473690i | ||||||||
6.12278 | − | 4.73383i | 0.487102 | − | 0.376604i | |||||
7.59176 | 0.602066 | |||||||||
−3.00799 | − | 20.0141i | −0.237802 | − | 1.58225i | |||||
0 | 0 | |||||||||
−1.11882 | + | 0.865014i | −0.0879025 | + | 0.0679619i | |||||
− | 17.0530i | − | 1.33569i | −0.744299 | − | 0.667846i | ||||
0.744299 | − | 0.667846i | ||||||||
−2.29596 | + | 8.82626i | −0.179285 | + | 0.689215i | |||||
3.37013i | 0.262365i | |||||||||
−1.03421 | − | 1.33766i | −0.0802705 | − | 0.103823i | |||||
10.4339 | 0.807396 | 0.403698 | − | 0.914892i | ||||||
0.403698 | + | 0.914892i | ||||||||
0 | 0 | |||||||||
−24.8369 | −1.91053 | |||||||||
−11.7100 | − | 15.1458i | −0.898116 | − | 1.16163i | |||||
2.41460i | 0.184649i | |||||||||
−6.78756 | − | 1.76564i | −0.517547 | − | 0.134629i | |||||
− | 14.5742i | − | 1.10805i | −0.832499 | − | 0.554027i | ||||
0.832499 | − | 0.554027i | ||||||||
−2.99983 | + | 2.31932i | −0.227417 | + | 0.175827i | |||||
0 | 0 | |||||||||
−1.83602 | + | 3.29027i | −0.138395 | + | 0.248013i | |||||
0.116189 | 0.00873333 | |||||||||
2.03738 | − | 1.57521i | 0.152708 | − | 0.118067i | |||||
3.77961i | 0.282501i | 0.989974 | + | 0.141251i | ||||||
−0.989974 | + | 0.141251i | ||||||||
6.92506 | + | 1.80141i | 0.516163 | + | 0.134269i | |||||
1.12363i | 0.0835189i | 0.999128 | + | 0.0417595i | ||||||
−0.999128 | + | 0.0417595i | ||||||||
0 | 0 | |||||||||
8.15432 | 0.602784 | |||||||||
3.31898 | + | 7.77060i | 0.244679 | + | 0.572856i | |||||
6.10808 | 0.449075 | |||||||||
9.26752 | + | 11.9867i | 0.679527 | + | 0.878906i | |||||
3.56417i | 0.260638i | |||||||||
−3.44688 | + | 13.2507i | −0.251390 | + | 0.966406i | |||||
0 | 0 | |||||||||
9.66528 | − | 7.47272i | 0.701193 | − | 0.542128i | |||||
14.0300 | 1.01518 | 0.507589 | − | 0.861600i | ||||||
0.507589 | + | 0.861600i | ||||||||
5.77955 | + | 5.53143i | 0.417103 | + | 0.399197i | |||||
0.780195 | 0.0561597 | 0.0280798 | − | 0.999606i | ||||||
0.0280798 | + | 0.999606i | ||||||||
−13.4528 | + | 10.4010i | −0.965852 | + | 0.746750i | |||||
22.0074i | 1.57598i | |||||||||
0 | 0 | |||||||||
2.37637i | 0.169309i | 0.996410 | + | 0.0846545i | ||||||
−0.996410 | + | 0.0846545i | ||||||||
−0.814815 | − | 1.05389i | −0.0579064 | − | 0.0748966i | |||||
−13.5839 | −0.962938 | −0.481469 | − | 0.876463i | ||||||
−0.481469 | + | 0.876463i | ||||||||
−8.66608 | − | 20.2895i | −0.612784 | − | 1.43469i | |||||
−3.97580 | −0.280431 | |||||||||
−1.54060 | − | 1.99262i | −0.108396 | − | 0.140200i | |||||
0 | 0 | |||||||||
7.32377 | + | 1.90512i | 0.512766 | + | 0.133385i | |||||
16.3146i | 1.13946i | |||||||||
13.8991 | − | 10.7461i | 0.968393 | − | 0.748714i | |||||
−2.98743 | −0.207641 | |||||||||
−11.9895 | + | 21.4859i | −0.831320 | + | 1.48978i | |||||
−2.27447 | −0.157328 | |||||||||
0 | 0 | |||||||||
14.1932i | 0.977103i | 0.872535 | + | 0.488551i | ||||||
−0.872535 | + | 0.488551i | ||||||||
14.6945 | + | 3.82246i | 1.00922 | + | 0.262528i | |||||
3.92572i | 0.268986i | |||||||||
8.40284 | + | 10.8683i | 0.574406 | + | 0.742942i | |||||
−12.5462 | −0.855645 | |||||||||
−2.60110 | + | 1.11098i | −0.176982 | + | 0.0755928i | |||||
0 | 0 | |||||||||
12.3502 | + | 15.9739i | 0.836462 | + | 1.08189i | |||||
− | 6.22876i | − | 0.420901i | |||||||
−1.69687 | + | 6.52318i | −0.114403 | + | 0.439793i | |||||
23.2745i | 1.56561i | |||||||||
−1.91008 | + | 1.47678i | −0.128196 | + | 0.0991152i | |||||
−0.198178 | −0.0132710 | −0.00663548 | − | 0.999978i | ||||||
−0.00663548 | + | 0.999978i | ||||||||
0 | 0 | |||||||||
7.80037 | 0.520025 | |||||||||
15.5264 | − | 12.0042i | 1.03280 | − | 0.798510i | |||||
− | 25.7560i | − | 1.70949i | −0.519050 | − | 0.854744i | ||||
0.519050 | − | 0.854744i | ||||||||
−1.21575 | + | 4.67365i | −0.0805151 | + | 0.309520i | |||||
− | 16.1617i | − | 1.06800i | −0.845485 | − | 0.533999i | ||||
0.845485 | − | 0.533999i | ||||||||
9.24554 | + | 11.9583i | 0.609633 | + | 0.788504i | |||||
0 | 0 | |||||||||
−6.97421 | + | 2.97883i | −0.457879 | + | 0.195570i | |||||
25.1239 | 1.64592 | 0.822959 | − | 0.568100i | ||||||
0.822959 | + | 0.568100i | ||||||||
−5.32085 | − | 6.88203i | −0.347835 | − | 0.449892i | |||||
24.4927i | 1.59773i | |||||||||
0.224894 | + | 0.0585014i | 0.0146394 | + | 0.00380812i | |||||
5.47255i | 0.355480i | |||||||||
0 | 0 | |||||||||
16.0389 | 1.03747 | 0.518736 | − | 0.854935i | ||||||
0.518736 | + | 0.854935i | ||||||||
12.4970 | + | 6.97354i | 0.806679 | + | 0.450140i | |||||
−13.1691 | −0.848293 | −0.424147 | − | 0.905594i | ||||||
−0.424147 | + | 0.905594i | ||||||||
−11.3143 | + | 8.74763i | −0.727308 | + | 0.562319i | |||||
− | 1.00000i | − | 0.0641500i | |||||||
15.7834 | + | 4.10570i | 1.01043 | + | 0.262841i | |||||
0 | 0 | |||||||||
−3.94446 | − | 5.10180i | −0.251490 | − | 0.325279i | |||||
−14.8526 | −0.945047 | |||||||||
11.9028 | + | 27.8674i | 0.755826 | + | 1.76958i | |||||
1.19560 | 0.0757683 | |||||||||
−8.66662 | − | 11.2095i | −0.548125 | − | 0.708950i | |||||
− | 8.64704i | − | 0.545796i | −0.962043 | − | 0.272898i | ||||
0.962043 | − | 0.272898i | ||||||||
0 | 0 | |||||||||
− | 2.81406i | − | 0.176918i | |||||||
−8.69756 | + | 6.72453i | −0.545733 | + | 0.421934i | |||||
13.5373 | 0.847742 | |||||||||
8.40173 | + | 13.6166i | 0.525108 | + | 0.851035i | |||||
−14.4651 | −0.902307 | −0.451154 | − | 0.892446i | ||||||
−0.451154 | + | 0.892446i | ||||||||
3.92338 | − | 3.03337i | 0.244259 | − | 0.188849i | |||||
0 | 0 | |||||||||
−11.0807 | + | 42.5972i | −0.687199 | + | 2.64177i | |||||
− | 2.68125i | − | 0.165966i | |||||||
−6.09421 | − | 7.88230i | −0.376502 | − | 0.486970i | |||||
19.8967 | 1.22688 | 0.613440 | − | 0.789741i | ||||||
0.613440 | + | 0.789741i | ||||||||
−1.04651 | − | 2.45015i | −0.0644082 | − | 0.150796i | |||||
27.1615 | 1.66852 | |||||||||
0 | 0 | |||||||||
1.82102i | 0.111444i | |||||||||
−7.69549 | − | 2.00182i | −0.470077 | − | 0.122280i | |||||
− | 16.9660i | − | 1.03443i | −0.855854 | − | 0.517217i | ||||
0.855854 | − | 0.517217i | ||||||||
−4.00286 | + | 3.09481i | −0.243606 | + | 0.188344i | |||||
1.07637 | 0.0653849 | 0.0326925 | − | 0.999465i | ||||||
0.0326925 | + | 0.999465i | ||||||||
13.2165 | + | 7.37504i | 0.801370 | + | 0.447178i | |||||
0 | 0 | |||||||||
20.2591 | − | 15.6633i | 1.22390 | − | 0.946256i | |||||
7.34769i | 0.443083i | |||||||||
−5.78242 | − | 1.50417i | −0.348061 | − | 0.0905406i | |||||
− | 4.89143i | − | 0.293898i | −0.989144 | − | 0.146949i | ||||
0.989144 | − | 0.146949i | ||||||||
7.20315 | + | 9.31662i | 0.432016 | + | 0.558774i | |||||
−10.7137 | −0.641414 | |||||||||
0 | 0 | |||||||||
−0.754188 | −0.0449911 | −0.0224956 | − | 0.999747i | ||||||
−0.0224956 | + | 0.999747i | ||||||||
−5.92174 | − | 7.65923i | −0.352635 | − | 0.456101i | |||||
− | 19.4302i | − | 1.15501i | −0.816389 | − | 0.577503i | ||||
0.816389 | − | 0.577503i | ||||||||
−1.97660 | + | 7.59856i | −0.117290 | + | 0.450892i | |||||
8.63884i | 0.511721i | |||||||||
6.48265 | − | 5.01206i | 0.383327 | − | 0.296370i | |||||
0 | 0 | |||||||||
−5.59403 | + | 0.840746i | −0.329631 | + | 0.0495414i | |||||
−2.68324 | −0.157838 | |||||||||
−10.7327 | + | 8.29798i | −0.630245 | + | 0.487274i | |||||
− | 12.0241i | − | 0.704865i | |||||||
3.13619 | − | 12.0563i | 0.183531 | − | 0.705541i | |||||
− | 21.9433i | − | 1.28194i | −0.767564 | − | 0.640972i | ||||
0.767564 | − | 0.640972i | ||||||||
0 | 0 | |||||||||
0.415698 | 0.0242029 | |||||||||
−4.44069 | + | 1.89671i | −0.258110 | + | 0.110244i | |||||
0.941967 | 0.0546585 | |||||||||
−17.9106 | − | 23.1658i | −1.03753 | − | 1.34196i | |||||
− | 18.3762i | − | 1.06272i | |||||||
15.0983 | + | 3.92749i | 0.871699 | + | 0.226754i | |||||
0 | 0 | |||||||||
−4.42566 | + | 3.42170i | −0.254668 | + | 0.196897i | |||||
1.78101 | 0.102316 | |||||||||
−4.70638 | + | 8.43412i | −0.269929 | + | 0.483730i | |||||
29.1742 | 1.67051 | |||||||||
−4.23332 | + | 3.27300i | −0.242003 | + | 0.187105i | |||||
− | 2.18555i | − | 0.124736i | −0.998053 | − | 0.0623679i | ||||
0.998053 | − | 0.0623679i | ||||||||
0 | 0 | |||||||||
12.4230i | 0.706720i | |||||||||
33.1570 | + | 42.8855i | 1.88319 | + | 2.43573i | |||||
27.2685 | 1.54626 | 0.773129 | − | 0.634249i | ||||||
0.773129 | + | 0.634249i | ||||||||
−6.83384 | − | 15.9998i | −0.386890 | − | 0.905810i | |||||
−1.36654 | −0.0772412 | −0.0386206 | − | 0.999254i | ||||||
−0.0386206 | + | 0.999254i | ||||||||
−10.2683 | − | 13.2811i | −0.579472 | − | 0.749494i | |||||
0 | 0 | |||||||||
−2.75543 | + | 10.5926i | −0.155005 | + | 0.595879i | |||||
8.19107i | 0.460056i | 0.973184 | + | 0.230028i | ||||||
−0.973184 | + | 0.230028i | ||||||||
−8.49379 | + | 6.56698i | −0.476308 | + | 0.368258i | |||||
2.52565 | 0.141410 | |||||||||
20.6779 | + | 19.7901i | 1.15593 | + | 1.10630i | |||||
−9.71411 | −0.542189 | |||||||||
0 | 0 | |||||||||
9.13622i | 0.508353i | |||||||||
0.503501 | − | 1.93558i | 0.0279723 | − | 0.107532i | |||||
47.9814i | 2.66153i | |||||||||
14.7511 | + | 19.0792i | 0.816987 | + | 1.05670i | |||||
−14.2775 | −0.789546 | |||||||||
−5.06608 | − | 11.8610i | −0.279727 | − | 0.654914i | |||||
0 | 0 | |||||||||
−2.91521 | − | 3.77056i | −0.160477 | − | 0.207563i | |||||
15.4318i | 0.848208i | 0.905613 | + | 0.424104i | ||||||
−0.905613 | + | 0.424104i | ||||||||
2.31419 | + | 0.601987i | 0.127008 | + | 0.0330383i | |||||
− | 1.70724i | − | 0.0935559i | |||||||
−11.6736 | + | 9.02543i | −0.638749 | + | 0.493850i | |||||
−14.2245 | −0.777165 | |||||||||
0 | 0 | |||||||||
−0.543923 | −0.0296294 | −0.0148147 | − | 0.999890i | ||||||
−0.0148147 | + | 0.999890i | ||||||||
27.7879 | − | 21.4842i | 1.51146 | − | 1.16859i | |||||
13.8775i | 0.753722i | |||||||||
26.2027 | + | 6.81607i | 1.42104 | + | 0.369653i | |||||
− | 10.0920i | − | 0.546511i | |||||||
−2.08866 | − | 2.70149i | −0.112942 | − | 0.146080i | |||||
0 | 0 | |||||||||
9.12134 | − | 3.89591i | 0.491790 | − | 0.210053i | |||||
−10.6883 | −0.575439 | |||||||||
12.6069 | + | 16.3058i | 0.677749 | + | 0.876606i | |||||
− | 11.4632i | − | 0.615375i | −0.951487 | − | 0.307688i | ||||
0.951487 | − | 0.307688i | ||||||||
1.35001 | − | 5.18980i | 0.0723684 | − | 0.278202i | |||||
1.23092i | 0.0658899i | 0.999457 | + | 0.0329449i | ||||||
−0.999457 | + | 0.0329449i | ||||||||
0 | 0 | |||||||||
6.15117 | 0.328325 | |||||||||
−0.791955 | − | 5.26939i | −0.0422113 | − | 0.280860i | |||||
−34.2183 | −1.82126 | −0.910628 | − | 0.413228i | ||||||
−0.910628 | + | 0.413228i | ||||||||
−0.129995 | + | 0.100505i | −0.00690913 | + | 0.00534180i | |||||
14.0453i | 0.745446i | |||||||||
−0.916884 | + | 3.52473i | −0.0485948 | + | 0.186811i | |||||
0 | 0 | |||||||||
−3.26941 | − | 4.22869i | −0.172794 | − | 0.223493i | |||||
33.9072 | 1.78955 | 0.894777 | − | 0.446513i | ||||||
0.894777 | + | 0.446513i | ||||||||
−9.30611 | + | 3.97483i | −0.490475 | + | 0.209492i | |||||
13.1697 | 0.693144 | |||||||||
−0.971958 | − | 1.25714i | −0.0510850 | − | 0.0660737i | |||||
− | 10.1127i | − | 0.530779i | |||||||
0 | 0 | |||||||||
− | 22.2850i | − | 1.16645i | |||||||
−9.12318 | + | 7.05360i | −0.476876 | + | 0.368697i | |||||
−19.2447 | −1.00456 | −0.502282 | − | 0.864704i | ||||||
−0.502282 | + | 0.864704i | ||||||||
−10.4350 | − | 5.82291i | −0.543963 | − | 0.303540i | |||||
4.56000 | 0.237384 | |||||||||
−6.83382 | + | 5.28358i | −0.355273 | + | 0.274680i | |||||
0 | 0 | |||||||||
−20.7373 | − | 5.39437i | −1.07518 | − | 0.279685i | |||||
14.8337i | 0.768061i | 0.923320 | + | 0.384030i | ||||||
−0.923320 | + | 0.384030i | ||||||||
−3.08306 | − | 3.98765i | −0.159421 | − | 0.206196i | |||||
10.0191 | 0.517382 | |||||||||
−7.60560 | − | 17.8067i | −0.392229 | − | 0.918310i | |||||
16.4928 | 0.849425 | |||||||||
0 | 0 | |||||||||
11.7500i | 0.603555i | 0.953378 | + | 0.301778i | ||||||
−0.953378 | + | 0.301778i | ||||||||
−4.34966 | + | 16.7212i | −0.223133 | + | 0.857780i | |||||
− | 7.77389i | − | 0.398269i | |||||||
−15.6970 | + | 12.1362i | −0.803130 | + | 0.620941i | |||||
19.0655 | 0.974200 | 0.487100 | − | 0.873346i | ||||||
0.487100 | + | 0.873346i | ||||||||
−11.2510 | − | 1.18926i | −0.574152 | − | 0.0606894i | |||||
0 | 0 | |||||||||
−0.872895 | + | 0.674880i | −0.0444292 | + | 0.0343505i | |||||
3.50672i | 0.178257i | |||||||||
6.05415 | − | 23.2737i | 0.307353 | − | 1.18154i | |||||
2.00331i | 0.101572i | 0.998710 | + | 0.0507859i | ||||||
−0.998710 | + | 0.0507859i | ||||||||
−19.0367 | − | 24.6222i | −0.963962 | − | 1.24680i | |||||
−11.3037 | −0.571652 | |||||||||
0 | 0 | |||||||||
7.04522 | 0.355384 | |||||||||
−2.05559 | − | 2.65872i | −0.103559 | − | 0.133944i | |||||
19.5795i | 0.985150i | |||||||||
1.82326 | + | 0.474281i | 0.0916221 | + | 0.0238335i | |||||
− | 8.48379i | − | 0.425789i | −0.977075 | − | 0.212895i | ||||
0.977075 | − | 0.212895i | ||||||||
15.1979 | − | 11.7503i | 0.761802 | − | 0.588988i | |||||
0 | 0 | |||||||||
27.2465 | + | 15.2040i | 1.36232 | + | 0.760199i | |||||
−14.0926 | −0.703753 | −0.351876 | − | 0.936046i | ||||||
−0.351876 | + | 0.936046i | ||||||||
4.44819 | − | 3.43912i | 0.221855 | − | 0.171528i | |||||
− | 65.9019i | − | 3.28281i | |||||||
3.44729 | + | 0.896739i | 0.171509 | + | 0.0446144i | |||||
− | 3.57776i | − | 0.177780i | |||||||
0 | 0 | |||||||||
1.60816 | 0.0797135 | |||||||||
−9.84191 | + | 4.20368i | −0.487247 | + | 0.208113i | |||||
30.3577 | 1.50109 | 0.750547 | − | 0.660817i | ||||||
0.750547 | + | 0.660817i | ||||||||
−14.1123 | − | 18.2530i | −0.696959 | − | 0.901452i | |||||
18.1076i | 0.893181i | |||||||||
−6.25499 | + | 24.0458i | −0.308161 | + | 1.18465i | |||||
0 | 0 | |||||||||
3.34238 | − | 2.58417i | 0.164269 | − | 0.127005i | |||||
4.27758 | 0.209978 | |||||||||
−5.17157 | − | 34.4098i | −0.253557 | − | 1.68708i | |||||
−8.32721 | −0.407785 | |||||||||
2.54471 | − | 1.96745i | 0.124466 | − | 0.0962311i | |||||
30.8896i | 1.50905i | 0.656269 | + | 0.754527i | ||||||
−0.656269 | + | 0.754527i | ||||||||
0 | 0 | |||||||||
20.0940i | 0.979321i | 0.871913 | + | 0.489661i | ||||||
−0.871913 | + | 0.489661i | ||||||||
−12.2774 | − | 15.8796i | −0.597652 | − | 0.773008i | |||||
6.84583 | 0.332856 | |||||||||
−19.7469 | + | 8.43432i | −0.958996 | + | 0.409607i | |||||
29.5146 | 1.43167 | |||||||||
−3.39580 | − | 4.39216i | −0.164527 | − | 0.212801i | |||||
0 | 0 | |||||||||
−18.8025 | − | 4.89106i | −0.908852 | − | 0.236418i | |||||
5.79420i | 0.279747i | |||||||||
14.0369 | − | 10.8527i | 0.676920 | − | 0.523362i | |||||
8.01747 | 0.386188 | 0.193094 | − | 0.981180i | ||||||
0.193094 | + | 0.981180i | ||||||||
1.94914 | − | 3.49297i | 0.0937779 | − | 0.168056i | |||||
−26.9812 | −1.29663 | −0.648316 | − | 0.761371i | ||||||
−0.648316 | + | 0.761371i | ||||||||
0 | 0 | |||||||||
− | 9.59289i | − | 0.459944i | |||||||
−27.6353 | − | 7.18872i | −1.32349 | − | 0.344277i | |||||
− | 7.21343i | − | 0.345065i | |||||||
5.38797 | + | 6.96884i | 0.257447 | + | 0.332984i | |||||
36.5152 | 1.74278 | 0.871388 | − | 0.490594i | ||||||
0.871388 | + | 0.490594i | ||||||||
−3.74416 | − | 8.76605i | −0.178496 | − | 0.417905i | |||||
0 | 0 | |||||||||
−20.1328 | − | 26.0399i | −0.957617 | − | 1.23859i | |||||
0.219929i | 0.0104491i | 0.999986 | + | 0.00522457i | ||||||
−0.999986 | + | 0.00522457i | ||||||||
0.859595 | − | 3.30450i | 0.0407946 | − | 0.156825i | |||||
6.51517i | 0.308848i | |||||||||
0.221725 | − | 0.171427i | 0.0104990 | − | 0.00811728i | |||||
20.7056 | 0.979341 | |||||||||
0 | 0 | |||||||||
20.6799 | 0.975946 | 0.487973 | − | 0.872859i | ||||||
0.487973 | + | 0.872859i | ||||||||
−8.72718 | + | 6.74743i | −0.411403 | + | 0.318077i | |||||
4.29537i | 0.202261i | |||||||||
−6.98733 | + | 26.8611i | −0.328656 | + | 1.26344i | |||||
− | 3.95566i | − | 0.185853i | |||||||
22.2793 | + | 28.8163i | 1.04562 | + | 1.35242i | |||||
0 | 0 | |||||||||
−2.68257 | − | 6.28060i | −0.125623 | − | 0.294116i | |||||
−8.58418 | −0.401551 | −0.200776 | − | 0.979637i | ||||||
−0.200776 | + | 0.979637i | ||||||||
13.9801 | + | 18.0820i | 0.653249 | + | 0.844917i | |||||
− | 3.78375i | − | 0.176610i | |||||||
−20.6881 | − | 5.38157i | −0.964588 | − | 0.250917i | |||||
− | 13.8203i | − | 0.643676i | −0.946795 | − | 0.321838i | ||||
0.946795 | − | 0.321838i | ||||||||
0 | 0 | |||||||||
28.8694 | 1.34168 | 0.670838 | − | 0.741604i | ||||||
0.670838 | + | 0.741604i | ||||||||
5.22613 | − | 9.36555i | 0.242617 | − | 0.434785i | |||||
−38.3311 | −1.77756 | |||||||||
−28.1090 | + | 21.7325i | −1.30212 | + | 1.00674i | |||||
− | 12.4341i | − | 0.575381i | −0.957723 | − | 0.287691i | ||||
0.957723 | − | 0.287691i | ||||||||
11.9061 | + | 3.09712i | 0.550360 | + | 0.143164i | |||||
0 | 0 | |||||||||
−21.1866 | − | 27.4029i | −0.977264 | − | 1.26400i | |||||
11.8706 | 0.546970 | |||||||||
−0.302220 | + | 0.129084i | −0.0139108 | + | 0.00594159i | |||||
−3.30322 | −0.151882 | |||||||||
−4.73383 | − | 6.12278i | −0.217432 | − | 0.281229i | |||||
18.8347i | 0.864197i | |||||||||
0 | 0 | |||||||||
− | 7.59176i | − | 0.347603i | |||||||
−17.9446 | + | 13.8739i | −0.820767 | + | 0.634577i | |||||
38.2820 | 1.74915 | 0.874575 | − | 0.484891i | ||||||
0.874575 | + | 0.484891i | ||||||||
−20.0141 | + | 3.00799i | −0.913514 | + | 0.137295i | |||||
10.5015 | 0.478827 | |||||||||
14.7338 | − | 11.3914i | 0.671104 | − | 0.518865i | |||||
0 | 0 | |||||||||
5.09175 | − | 19.5740i | 0.231443 | − | 0.889726i | |||||
− | 43.0194i | − | 1.95341i | |||||||
0.865014 | + | 1.11882i | 0.0392378 | + | 0.0507505i | |||||
−1.80458 | −0.0817733 | −0.0408867 | − | 0.999164i | ||||||
−0.0408867 | + | 0.999164i | ||||||||
−21.2102 | + | 9.05930i | −0.960140 | + | 0.410095i | |||||
−17.0530 | −0.771163 | |||||||||
0 | 0 | |||||||||
− | 4.10278i | − | 0.185156i | −0.995705 | − | 0.0925780i | ||||
0.995705 | − | 0.0925780i | ||||||||
8.82626 | + | 2.29596i | 0.397918 | + | 0.103510i | |||||
− | 10.1452i | − | 0.456917i | |||||||
16.6173 | − | 12.8477i | 0.747648 | − | 0.578045i | |||||
3.37013 | 0.151476 | |||||||||
−37.4227 | − | 20.8825i | −1.68033 | − | 0.937652i | |||||
0 | 0 | |||||||||
−1.33766 | + | 1.03421i | −0.0599420 | + | 0.0463442i | |||||
− | 44.4007i | − | 1.98765i | −0.110961 | − | 0.993825i | ||||
0.110961 | − | 0.993825i | ||||||||
19.3927 | + | 5.04460i | 0.867269 | + | 0.225601i | |||||
− | 10.4339i | − | 0.466150i | |||||||
7.47981 | + | 9.67445i | 0.333840 | + | 0.431792i | |||||
8.88976 | 0.396375 | 0.198187 | − | 0.980164i | ||||||
0.198187 | + | 0.980164i | ||||||||
0 | 0 | |||||||||
6.37202 | 0.283551 | |||||||||
2.43420 | + | 3.14842i | 0.108213 | + | 0.139964i | |||||
24.8369i | 1.10304i | |||||||||
3.91416 | − | 15.0470i | 0.173663 | − | 0.667604i | |||||
− | 11.0463i | − | 0.489621i | −0.969571 | − | 0.244810i | ||||
0.969571 | − | 0.244810i | ||||||||
−15.1458 | + | 11.7100i | −0.670668 | + | 0.518527i | |||||
0 | 0 | |||||||||
−21.1785 | − | 7.96682i | −0.935967 | − | 0.352087i | |||||
2.41460 | 0.106607 | |||||||||
16.1838 | − | 12.5125i | 0.713836 | − | 0.551903i | |||||
44.4465i | 1.95855i | |||||||||
−1.76564 | + | 6.78756i | −0.0777279 | + | 0.298806i | |||||
6.44855i | 0.283607i | |||||||||
0 | 0 | |||||||||
−14.5742 | −0.639735 | |||||||||
−24.4498 | − | 57.2434i | −1.07220 | − | 2.51029i | |||||
−33.9951 | −1.48935 | −0.744675 | − | 0.667427i | ||||||
−0.744675 | + | 0.667427i | ||||||||
2.31932 | + | 2.99983i | 0.101514 | + | 0.131299i | |||||
18.2103i | 0.796282i | 0.917324 | + | 0.398141i | ||||||
−0.917324 | + | 0.398141i | ||||||||
13.6366 | + | 3.54727i | 0.595718 | + | 0.154963i | |||||
0 | 0 | |||||||||
−22.2607 | + | 17.2109i | −0.970613 | + | 0.750430i | |||||
−40.5380 | −1.76586 | |||||||||
3.29027 | + | 1.83602i | 0.143190 | + | 0.0799026i | |||||
−14.0753 | −0.611968 | |||||||||
−30.3887 | + | 23.4951i | −1.32000 | + | 1.02056i | |||||
− | 0.116189i | − | 0.00504219i | |||||||
0 | 0 | |||||||||
28.0493i | 1.21495i | |||||||||
−1.57521 | − | 2.03738i | −0.0681658 | − | 0.0881663i | |||||
−34.7547 | −1.50258 | |||||||||
10.3414 | − | 4.41704i | 0.446682 | − | 0.190787i | |||||
3.77961 | 0.163102 | |||||||||
14.6758 | + | 18.9818i | 0.632720 | + | 0.818365i | |||||
0 | 0 | |||||||||
1.80141 | − | 6.92506i | 0.0775201 | − | 0.298007i | |||||
− | 30.1308i | − | 1.29542i | −0.761886 | − | 0.647712i | ||||
0.761886 | − | 0.647712i | ||||||||
−1.20426 | + | 0.931077i | −0.0517275 | + | 0.0399932i | |||||
1.12363 | 0.0482197 | |||||||||
−21.1664 | + | 3.18117i | −0.907502 | + | 0.136392i | |||||
−51.0814 | −2.18809 | |||||||||
0 | 0 | |||||||||
− | 36.0927i | − | 1.54321i | −0.636101 | − | 0.771606i | ||||
0.636101 | − | 0.771606i | ||||||||
−9.11719 | + | 35.0488i | −0.389467 | + | 1.49721i | |||||
− | 8.15432i | − | 0.348018i | |||||||
−6.35586 | − | 8.22072i | −0.271015 | − | 0.350533i | |||||
6.47415 | 0.275808 | |||||||||
7.77060 | − | 3.31898i | 0.330739 | − | 0.141265i | |||||
0 | 0 | |||||||||
4.23116 | + | 5.47262i | 0.179765 | + | 0.232509i | |||||
− | 6.10808i | − | 0.259274i | |||||||
−16.1180 | − | 4.19276i | −0.683556 | − | 0.177812i | |||||
− | 42.4146i | − | 1.79717i | −0.438804 | − | 0.898583i | ||||
0.438804 | − | 0.898583i | ||||||||
11.9867 | − | 9.26752i | 0.507437 | − | 0.392325i | |||||
−21.5704 | −0.912333 | |||||||||
0 | 0 | |||||||||
3.56417 | 0.150479 | |||||||||
0.843798 | − | 0.652384i | 0.0355935 | − | 0.0275191i | |||||
− | 11.8537i | − | 0.499574i | −0.968301 | − | 0.249787i | ||||
0.968301 | − | 0.249787i | ||||||||
13.2507 | + | 3.44688i | 0.557955 | + | 0.145140i | |||||
49.6504i | 2.08881i | |||||||||
16.8074 | + | 21.7388i | 0.706468 | + | 0.913751i | |||||
0 | 0 | |||||||||
−4.36141 | − | 10.2112i | −0.183001 | − | 0.428452i | |||||
5.42414 | 0.227392 | 0.113696 | − | 0.993516i | ||||||
0.113696 | + | 0.993516i | ||||||||
−7.47272 | − | 9.66528i | −0.312998 | − | 0.404834i | |||||
19.5852i | 0.819617i | 0.912172 | + | 0.409809i | ||||||
−0.912172 | + | 0.409809i | ||||||||
−2.91738 | + | 11.2152i | −0.121982 | + | 0.468929i | |||||
− | 14.0300i | − | 0.586113i | |||||||
0 | 0 | |||||||||
−23.3031 | −0.971804 | |||||||||
5.53143 | − | 5.77955i | 0.230476 | − | 0.240815i | |||||
6.22349 | 0.259087 | 0.129544 | − | 0.991574i | ||||||
0.129544 | + | 0.991574i | ||||||||
3.00205 | − | 2.32104i | 0.124869 | − | 0.0965426i | |||||
− | 0.780195i | − | 0.0324238i | |||||||
4.83003 | − | 18.5678i | 0.200556 | − | 0.770988i | |||||
0 | 0 | |||||||||
10.4010 | + | 13.4528i | 0.431136 | + | 0.557635i | |||||
7.15119 | 0.296172 | |||||||||
6.92005 | + | 16.2016i | 0.286354 | + | 0.670428i | |||||
22.0074 | 0.909894 | |||||||||
18.9813 | + | 24.5506i | 0.784110 | + | 1.01417i | |||||
− | 0.894279i | − | 0.0369108i | −0.999830 | − | 0.0184554i | ||||
0.999830 | − | 0.0184554i | ||||||||
0 | 0 | |||||||||
− | 25.8693i | − | 1.06593i | |||||||
−0.465089 | + | 0.359584i | −0.0191474 | + | 0.0148039i | |||||
2.37637 | 0.0977506 | |||||||||
3.32764 | − | 5.96333i | 0.136765 | − | 0.245091i | |||||
−22.6996 | −0.932161 | −0.466080 | − | 0.884742i | ||||||
−0.466080 | + | 0.884742i | ||||||||
−1.05389 | + | 0.814815i | −0.0432416 | + | 0.0334323i | |||||
0 | 0 | |||||||||
40.0774 | + | 10.4253i | 1.64163 | + | 0.427036i | |||||
13.5839i | 0.555953i | |||||||||
15.8957 | + | 20.5596i | 0.650022 | + | 0.840743i | |||||
−39.0356 | −1.59495 | −0.797476 | − | 0.603351i | ||||||
−0.797476 | + | 0.603351i | ||||||||
−20.2895 | + | 8.66608i | −0.828317 | + | 0.353791i | |||||
−0.397117 | −0.0161987 | −0.00809936 | − | 0.999967i | ||||||
−0.00809936 | + | 0.999967i | ||||||||
0 | 0 | |||||||||
3.97580i | 0.161907i | |||||||||
1.99168 | − | 7.65652i | 0.0810403 | − | 0.311539i | |||||
− | 36.1808i | − | 1.47096i | |||||||
−1.99262 | + | 1.54060i | −0.0809447 | + | 0.0625825i | |||||
21.8315 | 0.886112 | 0.443056 | − | 0.896494i | ||||||
0.443056 | + | 0.896494i | ||||||||
−2.03006 | − | 13.5073i | −0.0823298 | − | 0.547794i | |||||
0 | 0 | |||||||||
−32.6406 | + | 25.2361i | −1.32158 | + | 1.02178i | |||||
42.1099i | 1.70358i | |||||||||
1.90512 | − | 7.32377i | 0.0770099 | − | 0.296046i | |||||
24.9947i | 1.00953i | 0.863258 | + | 0.504763i | ||||||
−0.863258 | + | 0.504763i | ||||||||
1.89053 | + | 2.44523i | 0.0762955 | + | 0.0986813i | |||||
16.3146 | 0.657867 | |||||||||
0 | 0 | |||||||||
−17.0538 | −0.686560 | −0.343280 | − | 0.939233i | ||||||
−0.343280 | + | 0.939233i | ||||||||
−10.7461 | − | 13.8991i | −0.432270 | − | 0.559102i | |||||
4.98901i | 0.200525i | 0.994961 | + | 0.100263i | ||||||
−0.994961 | + | 0.100263i | ||||||||
−74.1931 | − | 19.2998i | −2.97967 | − | 0.775097i | |||||
2.98743i | 0.119881i | |||||||||
−30.5085 | + | 23.5877i | −1.22328 | + | 0.945780i | |||||
0 | 0 | |||||||||
21.4859 | + | 11.9895i | 0.860123 | + | 0.479963i | |||||
−3.15608 | −0.126243 | |||||||||
1.52890 | − | 1.18207i | 0.0611073 | − | 0.0472452i | |||||
2.27447i | 0.0908336i | |||||||||
22.9766 | + | 5.97688i | 0.916868 | + | 0.238503i | |||||
− | 6.45975i | − | 0.257567i | |||||||
0 | 0 | |||||||||
15.7236 | 0.625947 | 0.312973 | − | 0.949762i | ||||||
0.312973 | + | 0.949762i | ||||||||
−6.07991 | − | 14.2346i | −0.241846 | − | 0.566224i | |||||
14.1932 | 0.564130 | |||||||||
−7.08539 | − | 9.16431i | −0.281397 | − | 0.363961i | |||||
− | 27.8131i | − | 1.10373i | |||||||
3.82246 | − | 14.6945i | 0.151570 | − | 0.582675i | |||||
0 | 0 | |||||||||
−2.82574 | + | 2.18473i | −0.111872 | + | 0.0864942i | |||||
3.92572 | 0.155299 | |||||||||
−40.2535 | − | 4.25490i | −1.59116 | − | 0.168190i | |||||
24.6707 | 0.974433 | 0.487216 | − | 0.873281i | ||||||
0.487216 | + | 0.873281i | ||||||||
10.8683 | − | 8.40284i | 0.428938 | − | 0.331634i | |||||
− | 47.6908i | − | 1.88074i | −0.340150 | − | 0.940371i | ||||
0.340150 | − | 0.940371i | ||||||||
0 | 0 | |||||||||
12.5462i | 0.494007i | |||||||||
−7.90296 | − | 10.2218i | −0.310938 | − | 0.402170i | |||||
−19.2945 | −0.758547 | −0.379273 | − | 0.925285i | ||||||
−0.379273 | + | 0.925285i | ||||||||
1.11098 | + | 2.60110i | 0.0436435 | + | 0.102181i | |||||
0.109447 | 0.00429615 | |||||||||
−41.5046 | − | 53.6824i | −1.62794 | − | 2.10560i | |||||
0 | 0 | |||||||||
−33.0075 | − | 8.58619i | −1.29267 | − | 0.336261i | |||||
− | 41.5457i | − | 1.62581i | −0.582396 | − | 0.812905i | ||||
0.582396 | − | 0.812905i | ||||||||
15.9739 | − | 12.3502i | 0.624628 | − | 0.482932i | |||||
25.2061 | 0.984884 | |||||||||
15.9280 | + | 8.88806i | 0.621882 | + | 0.347020i | |||||
−6.22876 | −0.243007 | |||||||||
0 | 0 | |||||||||
− | 21.7026i | − | 0.845414i | −0.906266 | − | 0.422707i | ||||
0.906266 | − | 0.422707i | ||||||||
6.52318 | + | 1.69687i | 0.253914 | + | 0.0660504i | |||||
− | 14.7670i | − | 0.574368i | −0.957875 | − | 0.287184i | ||||
0.957875 | − | 0.287184i | ||||||||
−13.3487 | − | 17.2653i | −0.518813 | − | 0.671037i | |||||
23.2745 | 0.903906 | |||||||||
−3.10988 | + | 1.32829i | −0.120687 | + | 0.0515478i | |||||
0 | 0 | |||||||||
1.47678 | + | 1.91008i | 0.0572242 | + | 0.0740142i | |||||
8.01006i | 0.310151i | |||||||||
5.25345 | − | 20.1956i | 0.203262 | − | 0.781391i | |||||
0.198178i | 0.00766200i | |||||||||
15.9146 | − | 12.3044i | 0.614833 | − | 0.475359i | |||||
7.68110 | 0.296526 | |||||||||
0 | 0 | |||||||||
3.09088 | 0.119145 | 0.0595724 | − | 0.998224i | ||||||
0.0595724 | + | 0.998224i | ||||||||
0.608550 | − | 0.470501i | 0.0234405 | − | 0.0181230i | |||||
− | 7.80037i | − | 0.300236i | |||||||
−12.5054 | + | 48.0738i | −0.480976 | + | 1.84899i | |||||
− | 38.8018i | − | 1.49128i | −0.666351 | − | 0.745638i | ||||
0.666351 | − | 0.745638i | ||||||||
−12.0042 | − | 15.5264i | −0.461020 | − | 0.596287i | |||||
0 | 0 | |||||||||
−35.2120 | + | 15.0398i | −1.35032 | + | 0.576749i | |||||
−25.7560 | −0.986973 | |||||||||
8.72970 | + | 11.2911i | 0.334277 | + | 0.432357i | |||||
− | 26.0073i | − | 0.995140i | −0.867424 | − | 0.497570i | ||||
0.867424 | − | 0.497570i | ||||||||
4.67365 | + | 1.21575i | 0.178702 | + | 0.0464854i | |||||
64.7846i | 2.47529i | |||||||||
0 | 0 | |||||||||
−16.1617 | −0.616609 | |||||||||
−6.83509 | + | 12.2489i | −0.260585 | + | 0.466985i | |||||
46.6982 | 1.77906 | |||||||||
11.9583 | − | 9.24554i | 0.455243 | − | 0.351972i | |||||
− | 9.94014i | − | 0.378141i | −0.981964 | − | 0.189070i | ||||
0.981964 | − | 0.189070i | ||||||||
−28.2095 | − | 7.33810i | −1.07237 | − | 0.278953i | |||||
0 | 0 | |||||||||
9.91581 | + | 12.8252i | 0.376399 | + | 0.486837i | |||||
−29.7928 | −1.13010 | |||||||||
2.97883 | + | 6.97421i | 0.112912 | + | 0.264357i | |||||
17.2539 | 0.653538 | |||||||||
−1.06477 | − | 1.37718i | −0.0403020 | − | 0.0521270i | |||||
− | 25.1239i | − | 0.950272i | |||||||
0 | 0 | |||||||||
− | 32.3250i | − | 1.22090i | −0.792056 | − | 0.610449i | ||||
0.792056 | − | 0.610449i | ||||||||
−6.88203 | + | 5.32085i | −0.259745 | + | 0.200822i | |||||
4.12228 | 0.155475 | |||||||||
5.44415 | + | 5.21043i | 0.205184 | + | 0.196375i | |||||
24.4927 | 0.922450 | |||||||||
38.2840 | − | 29.5993i | 1.44084 | − | 1.11398i | |||||
0 | 0 | |||||||||
0.0585014 | − | 0.224894i | 0.00219862 | − | 0.00845205i | |||||
44.1160i | 1.65681i | 0.560128 | + | 0.828406i | ||||||
−0.560128 | + | 0.828406i | ||||||||
−12.1494 | − | 15.7141i | −0.455958 | − | 0.589739i | |||||
5.47255 | 0.205237 | |||||||||
−2.02312 | − | 4.73665i | −0.0758196 | − | 0.177513i | |||||
32.0065 | 1.19865 | |||||||||
0 | 0 | |||||||||
20.7303i | 0.775268i | |||||||||
7.31575 | + | 1.90303i | 0.273402 | + | 0.0711198i | |||||
− | 16.0389i | − | 0.598984i | |||||||
−37.9360 | + | 29.3302i | −1.41576 | + | 1.09459i | |||||
−6.45859 | −0.240865 | −0.120432 | − | 0.992722i | ||||||
−0.120432 | + | 0.992722i | ||||||||
6.97354 | − | 12.4970i | 0.259889 | − | 0.465737i | |||||
0 | 0 | |||||||||
−14.7345 | + | 11.3920i | −0.548362 | + | 0.423966i | |||||
13.1691i | 0.489762i | |||||||||
2.17488 | + | 0.565750i | 0.0808290 | + | 0.0210259i | |||||
− | 20.9148i | − | 0.776755i | |||||||
8.74763 | + | 11.3143i | 0.324655 | + | 0.419911i | |||||
−25.6040 | −0.949600 | −0.474800 | − | 0.880094i | ||||||
−0.474800 | + | 0.880094i | ||||||||
0 | 0 | |||||||||
−1.00000 | −0.0370370 | |||||||||
19.2769 | + | 24.9329i | 0.713469 | + | 0.922806i | |||||
13.2686i | 0.490756i | |||||||||
4.10570 | − | 15.7834i | 0.151751 | − | 0.583370i | |||||
10.3299i | 0.381544i | 0.981634 | + | 0.190772i | ||||||
−0.981634 | + | 0.190772i | ||||||||
21.5313 | − | 16.6469i | 0.794734 | − | 0.614449i | |||||
0 | 0 | |||||||||
16.7118 | − | 2.51167i | 0.616004 | − | 0.0925813i | |||||
−3.74507 | −0.137951 | |||||||||
−5.10180 | + | 3.94446i | −0.187800 | + | 0.145198i | |||||
46.3422i | 1.70472i | 0.522952 | + | 0.852362i | ||||||
−0.522952 | + | 0.852362i | ||||||||
3.07542 | − | 11.8227i | 0.113055 | − | 0.434611i | |||||
14.8526i | 0.545623i | |||||||||
0 | 0 | |||||||||
−38.1002 | −1.39776 | −0.698880 | − | 0.715239i | ||||||
−0.698880 | + | 0.715239i | ||||||||
27.8674 | − | 11.9028i | 1.02167 | − | 0.436376i | |||||
74.0796 | 2.71407 | |||||||||
−12.8314 | − | 16.5962i | −0.469790 | − | 0.607631i | |||||
− | 1.19560i | − | 0.0437448i | |||||||
6.89875 | + | 1.79456i | 0.252243 | + | 0.0656157i | |||||
0 | 0 | |||||||||
−11.2095 | + | 8.66662i | −0.409312 | + | 0.316460i | |||||
−7.51999 | −0.274408 | −0.137204 | − | 0.990543i | ||||||
−0.137204 | + | 0.990543i | ||||||||
23.9123 | + | 13.3435i | 0.871992 | + | 0.486586i | |||||
−8.64704 | −0.315116 | |||||||||
−18.4525 | + | 14.2665i | −0.671999 | + | 0.519557i | |||||
− | 14.1524i | − | 0.515059i | |||||||
0 | 0 | |||||||||
− | 41.2006i | − | 1.49746i | −0.662873 | − | 0.748731i | ||||
0.662873 | − | 0.748731i | ||||||||
−10.1639 | − | 13.1461i | −0.369169 | − | 0.477486i | |||||
−2.81406 | −0.102144 | |||||||||
−9.59761 | − | 22.4705i | −0.348142 | − | 0.815090i | |||||
28.6212 | 1.03752 | 0.518759 | − | 0.854920i | ||||||
0.518759 | + | 0.854920i | ||||||||
6.72453 | + | 8.69756i | 0.243604 | + | 0.315079i | |||||
0 | 0 | |||||||||
7.06413 | − | 27.1563i | 0.255571 | − | 0.982481i | |||||
− | 13.5373i | − | 0.489444i | |||||||
−21.3308 | + | 16.4919i | −0.770712 | + | 0.595877i | |||||
0.714700 | 0.0258063 | |||||||||
13.6166 | − | 8.40173i | 0.491346 | − | 0.303171i | |||||
−14.6303 | −0.527581 | −0.263791 | − | 0.964580i | ||||||
−0.263791 | + | 0.964580i | ||||||||
0 | 0 | |||||||||
14.4651i | 0.520947i | |||||||||
0.392829 | − | 1.51013i | 0.0141382 | − | 0.0543509i | |||||
42.4716i | 1.52760i | 0.645455 | + | 0.763798i | ||||||
−0.645455 | + | 0.763798i | ||||||||
−3.03337 | − | 3.92338i | −0.109032 | − | 0.141023i | |||||
−83.5710 | −3.00196 | |||||||||
13.3586 | + | 31.2759i | 0.479545 | + | 1.12274i | |||||
0 | 0 | |||||||||
−1.73289 | − | 2.24134i | −0.0621271 | − | 0.0803558i | |||||
11.0105i | 0.394494i | |||||||||
42.5972 | + | 11.0807i | 1.52522 | + | 0.396754i | |||||
3.69790i | 0.132321i | |||||||||
12.6467 | − | 9.77785i | 0.452247 | − | 0.349655i | |||||
−2.68125 | −0.0958202 | |||||||||
0 | 0 | |||||||||
42.4703 | 1.51583 | |||||||||
−7.88230 | + | 6.09421i | −0.281153 | + | 0.217373i | |||||
7.56670i | 0.269724i | 0.990864 | + | 0.134862i | ||||||
−0.990864 | + | 0.134862i | ||||||||
4.59966 | + | 1.19650i | 0.163856 | + | 0.0426236i | |||||
− | 19.8967i | − | 0.708340i | |||||||
−16.9365 | − | 21.9058i | −0.602575 | − | 0.779375i | |||||
0 | 0 | |||||||||
−2.45015 | + | 1.04651i | −0.0870623 | + | 0.0371861i | |||||
50.1586 | 1.78118 | |||||||||
7.33860 | + | 9.49181i | 0.260437 | + | 0.336852i | |||||
− | 27.1615i | − | 0.963320i | |||||||
−6.83951 | + | 26.2928i | −0.242420 | + | 0.931924i | |||||
− | 11.4622i | − | 0.406013i | −0.979177 | − | 0.203007i | ||||
0.979177 | − | 0.203007i | ||||||||
0 | 0 | |||||||||
25.9029 | 0.916379 | |||||||||
−43.6355 | + | 6.55813i | −1.54275 | + | 0.231865i | |||||
1.82102 | 0.0643425 | |||||||||
15.7671 | − | 12.1903i | 0.556755 | − | 0.430456i | |||||
− | 5.86729i | − | 0.207052i | |||||||
−2.00182 | + | 7.69549i | −0.0705987 | + | 0.271399i | |||||
0 | 0 | |||||||||
57.0061 | + | 73.7321i | 2.00795 | + | 2.59710i | |||||
−16.9660 | −0.597231 | |||||||||
−4.63258 | + | 1.97867i | −0.162974 | + | 0.0696093i | |||||
17.0821 | 0.600573 | 0.300287 | − | 0.953849i | ||||||
0.300287 | + | 0.953849i | ||||||||
3.09481 | + | 4.00286i | 0.108741 | + | 0.140646i | |||||
16.6693i | 0.585338i | 0.956214 | + | 0.292669i | ||||||
−0.956214 | + | 0.292669i | ||||||||
0 | 0 | |||||||||
− | 1.07637i | − | 0.0377500i | |||||||
−1.79924 | + | 1.39108i | −0.0630632 | + | 0.0487574i | |||||
−61.0115 | −2.13714 | |||||||||
7.37504 | − | 13.2165i | 0.258178 | − | 0.462671i | |||||
−8.46732 | −0.296234 | |||||||||
−33.9647 | + | 26.2599i | −1.18755 | + | 0.918155i | |||||
0 | 0 | |||||||||
31.5782 | + | 8.21440i | 1.10276 | + | 0.286859i | |||||
43.0233i | 1.50152i | 0.660572 | + | 0.750762i | ||||||
−0.660572 | + | 0.750762i | ||||||||
−15.6633 | − | 20.2591i | −0.546321 | − | 0.706616i | |||||
34.6509 | 1.20786 | 0.603928 | − | 0.797039i | ||||||
0.603928 | + | 0.797039i | ||||||||
−13.8017 | − | 32.3135i | −0.480806 | − | 1.12569i | |||||
7.34769 | 0.255814 | |||||||||
0 | 0 | |||||||||
36.5937i | 1.27249i | 0.771489 | + | 0.636243i | ||||||
−0.771489 | + | 0.636243i | ||||||||
−1.50417 | + | 5.78242i | −0.0522736 | + | 0.200953i | |||||
7.55875i | 0.262526i | 0.991348 | + | 0.131263i | ||||||
−0.991348 | + | 0.131263i | ||||||||
−4.78583 | + | 3.70017i | −0.166119 | + | 0.128435i | |||||
−4.89143 | −0.169682 | |||||||||
35.5510 | + | 34.0248i | 1.23251 | + | 1.17960i | |||||
0 | 0 | |||||||||
9.31662 | − | 7.20315i | 0.322608 | − | 0.249425i | |||||
− | 37.3298i | − | 1.29185i | |||||||
−1.14520 | + | 4.40243i | −0.0396075 | + | 0.152261i | |||||
10.7137i | 0.370320i | |||||||||
−26.7199 | − | 34.5598i | −0.923024 | − | 1.19385i | |||||
−33.3899 | −1.15275 | −0.576374 | − | 0.817186i | ||||||
−0.576374 | + | 0.817186i | ||||||||
0 | 0 | |||||||||
21.8109 | 0.752099 | |||||||||
−17.3816 | − | 22.4815i | −0.599009 | − | 0.774763i | |||||
0.754188i | 0.0259756i | |||||||||
27.4722 | + | 7.14631i | 0.945632 | + | 0.245986i | |||||
88.8603i | 3.05689i | |||||||||
−7.65923 | + | 5.92174i | −0.263330 | + | 0.203594i | |||||
0 | 0 | |||||||||
14.7974 | − | 26.5178i | 0.508144 | − | 0.910626i | |||||
−19.4302 | −0.666843 | |||||||||
−33.0215 | + | 25.5306i | −1.13263 | + | 0.875692i | |||||
5.10025i | 0.174834i | |||||||||
7.59856 | + | 1.97660i | 0.260322 | + | 0.0677173i | |||||
18.6855i | 0.639779i | 0.947455 | + | 0.319889i | ||||||
−0.947455 | + | 0.319889i | ||||||||
0 | 0 | |||||||||
8.63884 | 0.295442 | |||||||||
25.2674 | − | 10.7922i | 0.863620 | − | 0.368870i | |||||
−30.8881 | −1.05512 | −0.527559 | − | 0.849518i | ||||||
−0.527559 | + | 0.849518i | ||||||||
−5.01206 | − | 6.48265i | −0.171109 | − | 0.221314i | |||||
− | 40.8604i | − | 1.39414i | −0.717004 | − | 0.697069i | ||||
0.717004 | − | 0.697069i | ||||||||
−6.31703 | + | 24.2843i | −0.215409 | + | 0.828087i | |||||
0 | 0 | |||||||||
−8.97007 | + | 6.93522i | −0.305522 | + | 0.236215i | |||||
3.75352 | 0.127771 | 0.0638857 | − | 0.997957i | ||||||
0.0638857 | + | 0.997957i | ||||||||
0.840746 | + | 5.59403i | 0.0286027 | + | 0.190313i | |||||
−52.1429 | −1.77291 | |||||||||
30.1870 | − | 23.3391i | 1.02580 | − | 0.793095i | |||||
2.68324i | 0.0911277i | |||||||||
0 | 0 | |||||||||
5.15496i | 0.174870i | |||||||||
8.29798 | + | 10.7327i | 0.281328 | + | 0.363872i | |||||
−24.4558 | −0.828653 | |||||||||
37.1371 | − | 15.8620i | 1.25762 | − | 0.537156i | |||||
−12.0241 | −0.406954 | |||||||||
6.23972 | + | 8.07051i | 0.211062 | + | 0.272989i | |||||
0 | 0 | |||||||||
−12.0563 | − | 3.13619i | −0.407345 | − | 0.105962i | |||||
− | 30.0472i | − | 1.01462i | −0.861763 | − | 0.507311i | ||||
0.861763 | − | 0.507311i | ||||||||
−40.8538 | + | 31.5862i | −1.37875 | + | 1.06598i | |||||
−21.9433 | −0.740130 | |||||||||
11.7718 | + | 6.56885i | 0.396827 | + | 0.221436i | |||||
42.4160 | 1.42903 | 0.714516 | − | 0.699619i | ||||||
0.714516 | + | 0.699619i | ||||||||
0 | 0 | |||||||||
20.3124i | 0.683568i | 0.939779 | + | 0.341784i | ||||||
−0.939779 | + | 0.341784i | ||||||||
45.0497 | + | 11.7187i | 1.51519 | + | 0.394143i | |||||
− | 0.415698i | − | 0.0139735i | |||||||
−0.190242 | − | 0.246060i | −0.00639129 | − | 0.00826655i | |||||
17.3844 | 0.583711 | 0.291855 | − | 0.956462i | ||||||
0.291855 | + | 0.956462i | ||||||||
1.89671 | + | 4.44069i | 0.0636494 | + | 0.149020i | |||||
0 | 0 | |||||||||
−5.63571 | − | 7.28928i | −0.188909 | − | 0.244337i | |||||
− | 0.941967i | − | 0.0315571i | |||||||
−0.0997827 | + | 0.383590i | −0.00334097 | + | 0.0128435i | |||||
16.5299i | 0.553152i | |||||||||
−23.1658 | + | 17.9106i | −0.774779 | + | 0.599021i | |||||
13.5225 | 0.452008 | |||||||||
0 | 0 | |||||||||
−18.3762 | −0.613563 | |||||||||
−23.1370 | + | 17.8884i | −0.772093 | + | 0.596945i | |||||
28.7262i | 0.958073i | |||||||||
3.92749 | − | 15.0983i | 0.130916 | − | 0.503276i | |||||
− | 28.7253i | − | 0.956980i | |||||||
−3.71555 | − | 4.80573i | −0.123714 | − | 0.160013i | |||||
0 | 0 | |||||||||
−15.4177 | − | 36.0967i | −0.512784 | − | 1.20056i | |||||
4.02009 | 0.133632 | |||||||||
3.42170 | + | 4.42566i | 0.113679 | + | 0.147033i | |||||
21.8203i | 0.724533i | 0.932075 | + | 0.362266i | ||||||
−0.932075 | + | 0.362266i | ||||||||
−49.8530 | − | 12.9682i | −1.65443 | − | 0.430364i | |||||
− | 1.78101i | − | 0.0590723i | |||||||
0 | 0 | |||||||||
11.9139 | 0.394727 | 0.197363 | − | 0.980330i | ||||||
0.197363 | + | 0.980330i | ||||||||
8.43412 | + | 4.70638i | 0.279282 | + | 0.155844i | |||||
1.12622 | 0.0372724 | |||||||||
9.60412 | − | 7.42544i | 0.317676 | − | 0.245612i | |||||
− | 29.1742i | − | 0.964469i | |||||||
−31.2824 | − | 8.13745i | −1.03360 | − | 0.268869i | |||||
0 | 0 | |||||||||
3.27300 | + | 4.23332i | 0.108025 | + | 0.139720i | |||||
−37.7665 | −1.24580 | −0.622900 | − | 0.782301i | ||||||
−0.622900 | + | 0.782301i | ||||||||
27.8013 | − | 11.8745i | 0.916583 | − | 0.391491i | |||||
−2.18555 | −0.0720162 | |||||||||
11.9548 | + | 15.4624i | 0.393709 | + | 0.509226i | |||||
24.1477i | 0.794833i | |||||||||
0 | 0 | |||||||||
− | 13.3171i | − | 0.437863i | |||||||
−32.2996 | + | 24.9724i | −1.06143 | + | 0.820645i | |||||
12.4230 | 0.408025 | |||||||||
2.25425 | + | 14.9990i | 0.0739995 | + | 0.492367i | |||||
−34.5094 | −1.13222 | −0.566108 | − | 0.824331i | ||||||
−0.566108 | + | 0.824331i | ||||||||
42.8855 | − | 33.1570i | 1.40627 | − | 1.08726i | |||||
0 | 0 | |||||||||
12.6499 | − | 48.6294i | 0.414361 | − | 1.59291i | |||||
− | 27.2685i | − | 0.892732i | |||||||
10.7557 | + | 13.9115i | 0.351936 | + | 0.455197i | |||||
12.7517 | 0.417026 | |||||||||
−15.9998 | + | 6.83384i | −0.522970 | + | 0.223371i | |||||
2.63475 | 0.0860735 | 0.0430367 | − | 0.999073i | ||||||
0.0430367 | + | 0.999073i | ||||||||
0 | 0 | |||||||||
1.36654i | 0.0445952i | |||||||||
47.4078 | + | 12.3321i | 1.54627 | + | 0.402229i | |||||
20.5159i | 0.668799i | 0.942431 | + | 0.334399i | ||||||
−0.942431 | + | 0.334399i | ||||||||
−13.2811 | + | 10.2683i | −0.432721 | + | 0.334559i | |||||
−13.6227 | −0.443615 | |||||||||
0.226469 | − | 0.405846i | 0.00737094 | − | 0.0132092i | |||||
0 | 0 | |||||||||
3.69570 | − | 2.85733i | 0.120157 | − | 0.0928999i | |||||
31.4487i | 1.02194i | 0.859597 | + | 0.510972i | ||||||
−0.859597 | + | 0.510972i | ||||||||
10.5926 | + | 2.75543i | 0.344031 | + | 0.0894923i | |||||
− | 38.3142i | − | 1.24373i | |||||||
−16.2923 | − | 21.0726i | −0.528592 | − | 0.683686i | |||||
8.19107 | 0.265614 | |||||||||
0 | 0 | |||||||||
7.69660 | 0.249317 | 0.124659 | − | 0.992200i | ||||||
0.124659 | + | 0.992200i | ||||||||
6.56698 | + | 8.49379i | 0.212614 | + | 0.274997i | |||||
− | 50.1961i | − | 1.62431i | |||||||
8.07561 | − | 31.0447i | 0.261184 | − | 1.00406i | |||||
− | 2.52565i | − | 0.0816428i | |||||||
−42.8305 | + | 33.1145i | −1.38379 | + | 1.06988i | |||||
0 | 0 | |||||||||
19.7901 | − | 20.6779i | 0.638724 | − | 0.667375i | |||||
83.7838 | 2.70270 | |||||||||
−11.7492 | + | 9.08394i | −0.378811 | + | 0.292878i | |||||
9.71411i | 0.313033i | |||||||||
−6.63063 | + | 25.4898i | −0.213558 | + | 0.820972i | |||||
− | 2.79135i | − | 0.0898568i | |||||||
0 | 0 | |||||||||
−58.4850 | −1.88075 | −0.940375 | − | 0.340140i | ||||||
−0.940375 | + | 0.340140i | ||||||||
11.2350 | + | 26.3041i | 0.361108 | + | 0.845447i | |||||
9.13622 | 0.293498 | |||||||||
37.2124 | + | 48.1308i | 1.19482 | + | 1.54539i | |||||
46.6300i | 1.49643i | 0.663457 | + | 0.748215i | ||||||
−0.663457 | + | 0.748215i | ||||||||
−1.93558 | − | 0.503501i | −0.0620839 | − | 0.0161498i | |||||
0 | 0 | |||||||||
2.01899 | − | 1.56099i | 0.0646927 | − | 0.0500173i | |||||
47.9814 | 1.53663 | |||||||||
15.8939 | − | 28.4828i | 0.508751 | − | 0.911713i | |||||
−1.50961 | −0.0482967 | −0.0241484 | − | 0.999708i | ||||||
−0.0241484 | + | 0.999708i | ||||||||
19.0792 | − | 14.7511i | 0.610084 | − | 0.471687i | |||||
1.71534i | 0.0548225i | |||||||||
0 | 0 | |||||||||
14.2775i | 0.455845i | |||||||||
3.54897 | + | 4.59026i | 0.113252 | + | 0.146481i | |||||
22.1661 | 0.706988 | 0.353494 | − | 0.935437i | ||||||
0.353494 | + | 0.935437i | ||||||||
−11.8610 | + | 5.06608i | −0.378115 | + | 0.161501i | |||||
8.50207 | 0.270898 | |||||||||
8.77574 | + | 11.3506i | 0.279476 | + | 0.361477i | |||||
0 | 0 | |||||||||
−7.47829 | + | 28.7484i | −0.237916 | + | 0.914609i | |||||
− | 10.4761i | − | 0.333120i | |||||||
−3.77056 | + | 2.91521i | −0.119836 | + | 0.0926516i | |||||
−57.8841 | −1.83875 | −0.919374 | − | 0.393384i | ||||||
−0.919374 | + | 0.393384i | ||||||||
59.9328 | − | 9.00751i | 1.90287 | − | 0.285989i | |||||
15.4318 | 0.489713 | |||||||||
0 | 0 | |||||||||
48.6000i | 1.54072i | |||||||||
0.601987 | − | 2.31419i | 0.0190747 | − | 0.0733279i | |||||
50.9825i | 1.61463i | 0.590118 | + | 0.807317i | ||||||
−0.590118 | + | 0.807317i | ||||||||
38.4073 | + | 49.6763i | 1.21576 | + | 1.57247i | |||||
−1.70724 | −0.0540145 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1176.2.c.e.589.6 | 16 | ||
4.3 | odd | 2 | 4704.2.c.e.2353.9 | 16 | |||
7.2 | even | 3 | 168.2.bc.a.109.15 | yes | 32 | ||
7.4 | even | 3 | 168.2.bc.a.37.7 | ✓ | 32 | ||
7.6 | odd | 2 | 1176.2.c.f.589.6 | 16 | |||
8.3 | odd | 2 | 4704.2.c.e.2353.8 | 16 | |||
8.5 | even | 2 | inner | 1176.2.c.e.589.5 | 16 | ||
21.2 | odd | 6 | 504.2.cj.e.109.2 | 32 | |||
21.11 | odd | 6 | 504.2.cj.e.37.10 | 32 | |||
28.11 | odd | 6 | 672.2.bk.a.625.16 | 32 | |||
28.23 | odd | 6 | 672.2.bk.a.529.1 | 32 | |||
28.27 | even | 2 | 4704.2.c.f.2353.8 | 16 | |||
56.11 | odd | 6 | 672.2.bk.a.625.1 | 32 | |||
56.13 | odd | 2 | 1176.2.c.f.589.5 | 16 | |||
56.27 | even | 2 | 4704.2.c.f.2353.9 | 16 | |||
56.37 | even | 6 | 168.2.bc.a.109.7 | yes | 32 | ||
56.51 | odd | 6 | 672.2.bk.a.529.16 | 32 | |||
56.53 | even | 6 | 168.2.bc.a.37.15 | yes | 32 | ||
84.11 | even | 6 | 2016.2.cr.e.1297.1 | 32 | |||
84.23 | even | 6 | 2016.2.cr.e.1873.16 | 32 | |||
168.11 | even | 6 | 2016.2.cr.e.1297.16 | 32 | |||
168.53 | odd | 6 | 504.2.cj.e.37.2 | 32 | |||
168.107 | even | 6 | 2016.2.cr.e.1873.1 | 32 | |||
168.149 | odd | 6 | 504.2.cj.e.109.10 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.bc.a.37.7 | ✓ | 32 | 7.4 | even | 3 | ||
168.2.bc.a.37.15 | yes | 32 | 56.53 | even | 6 | ||
168.2.bc.a.109.7 | yes | 32 | 56.37 | even | 6 | ||
168.2.bc.a.109.15 | yes | 32 | 7.2 | even | 3 | ||
504.2.cj.e.37.2 | 32 | 168.53 | odd | 6 | |||
504.2.cj.e.37.10 | 32 | 21.11 | odd | 6 | |||
504.2.cj.e.109.2 | 32 | 21.2 | odd | 6 | |||
504.2.cj.e.109.10 | 32 | 168.149 | odd | 6 | |||
672.2.bk.a.529.1 | 32 | 28.23 | odd | 6 | |||
672.2.bk.a.529.16 | 32 | 56.51 | odd | 6 | |||
672.2.bk.a.625.1 | 32 | 56.11 | odd | 6 | |||
672.2.bk.a.625.16 | 32 | 28.11 | odd | 6 | |||
1176.2.c.e.589.5 | 16 | 8.5 | even | 2 | inner | ||
1176.2.c.e.589.6 | 16 | 1.1 | even | 1 | trivial | ||
1176.2.c.f.589.5 | 16 | 56.13 | odd | 2 | |||
1176.2.c.f.589.6 | 16 | 7.6 | odd | 2 | |||
2016.2.cr.e.1297.1 | 32 | 84.11 | even | 6 | |||
2016.2.cr.e.1297.16 | 32 | 168.11 | even | 6 | |||
2016.2.cr.e.1873.1 | 32 | 168.107 | even | 6 | |||
2016.2.cr.e.1873.16 | 32 | 84.23 | even | 6 | |||
4704.2.c.e.2353.8 | 16 | 8.3 | odd | 2 | |||
4704.2.c.e.2353.9 | 16 | 4.3 | odd | 2 | |||
4704.2.c.f.2353.8 | 16 | 28.27 | even | 2 | |||
4704.2.c.f.2353.9 | 16 | 56.27 | even | 2 |