Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [825,2,Mod(169,825)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(825, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("825.169");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 825.cb (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 169.16 | ||
Character | 825.169 | ||
Dual form | 825.2.cb.a.454.16 |
-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 .
−1.41304 | − | 0.459125i | −0.999170 | − | 0.324650i | −0.236636 | − | 0.971598i | ||
−0.762534 | + | 0.646948i | ||||||||
0.951057 | − | 0.309017i | 0.549093 | − | 0.178411i | |||||
0.167853 | + | 0.121952i | 0.0839265 | + | 0.0609762i | |||||
1.85059 | + | 1.25512i | 0.827609 | + | 0.561305i | |||||
−1.48576 | −0.606558 | |||||||||
1.08303 | − | 0.351897i | 0.409346 | − | 0.133005i | −0.0971033 | − | 0.995274i | ||
0.506449 | + | 0.862270i | ||||||||
1.56542 | + | 2.15462i | 0.553460 | + | 0.761773i | |||||
0.809017 | − | 0.587785i | 0.269672 | − | 0.195928i | |||||
−2.03870 | − | 2.62318i | −0.644695 | − | 0.829523i | |||||
2.38514 | − | 2.30458i | 0.719148 | − | 0.694857i | |||||
0.197323 | + | 0.0641141i | 0.0569622 | + | 0.0185082i | |||||
0.944395 | + | 1.29985i | 0.261928 | + | 0.360513i | 0.919644 | − | 0.392753i | ||
−0.657716 | + | 0.753266i | ||||||||
−1.69193 | −0.452186 | |||||||||
2.14787 | + | 0.621823i | 0.554577 | + | 0.160554i | |||||
−1.35099 | − | 4.15793i | −0.337748 | − | 1.03948i | |||||
0.334780i | 0.0811960i | 0.999176 | + | 0.0405980i | ||||||
−0.999176 | + | 0.0405980i | ||||||||
−1.41304 | + | 0.459125i | −0.333057 | + | 0.108217i | |||||
−1.89006 | + | 1.37321i | −0.433609 | + | 0.315035i | −0.783090 | − | 0.621908i | ||
0.349481 | + | 0.936943i | ||||||||
0.157563 | + | 0.436359i | 0.0352321 | + | 0.0975728i | |||||
0.921279 | − | 0.669348i | 0.201039 | − | 0.146064i | |||||
−4.42839 | + | 2.16139i | −0.944136 | + | 0.460809i | |||||
−0.809321 | + | 0.262964i | −0.168755 | + | 0.0548318i | −0.392176 | − | 0.919890i | ||
0.223421 | + | 0.974722i | ||||||||
2.15462 | + | 1.56542i | 0.439810 | + | 0.319540i | |||||
1.84937 | + | 4.64541i | 0.369873 | + | 0.929082i | |||||
−0.737676 | − | 2.27033i | −0.144670 | − | 0.445249i | |||||
0.587785 | − | 0.809017i | 0.113119 | − | 0.155695i | |||||
0.224704 | + | 0.0730108i | 0.0424651 | + | 0.0137977i | |||||
4.38760 | + | 3.18778i | 0.814758 | + | 0.591956i | 0.915206 | − | 0.402986i | ||
−0.100448 | + | 0.994942i | ||||||||
−2.74953 | − | 1.86480i | −0.501993 | − | 0.340464i | |||||
1.10692 | + | 3.40675i | 0.198808 | + | 0.611870i | 0.999911 | + | 0.0133424i | ||
−0.801103 | + | 0.598527i | ||||||||
1.16909i | 0.206668i | |||||||||
1.55625 | − | 2.92884i | 0.270909 | − | 0.509845i | |||||
0.153706 | − | 0.473057i | 0.0263603 | − | 0.0811287i | |||||
2.44591 | + | 0.708109i | 0.413435 | + | 0.119692i | |||||
0.207478 | 0.0345796 | |||||||||
− | 3.52650i | − | 0.579754i | −0.957064 | − | 0.289877i | ||||
0.957064 | − | 0.289877i | ||||||||
3.30120 | − | 1.07263i | 0.535526 | − | 0.174003i | |||||
1.29985 | + | 0.944395i | 0.208142 | + | 0.151224i | |||||
0.192658 | + | 5.95210i | 0.0304619 | + | 0.941110i | |||||
−3.12877 | − | 2.27318i | −0.488632 | − | 0.355012i | 0.316026 | − | 0.948750i | ||
−0.804658 | + | 0.593739i | ||||||||
−1.60912 | + | 0.522834i | −0.248292 | + | 0.0806750i | |||||
10.1739i | 1.55150i | 0.631039 | + | 0.775751i | ||||||
−0.631039 | + | 0.775751i | ||||||||
0.681402 | − | 0.0959571i | 0.102725 | − | 0.0144661i | |||||
2.23490 | − | 0.0723392i | 0.333159 | − | 0.0107837i | |||||
1.26434 | 0.186416 | |||||||||
12.8598 | − | 4.17842i | 1.87580 | − | 0.609485i | 0.886680 | − | 0.462384i | ||
0.989122 | − | 0.147101i | ||||||||
−2.56974 | − | 3.53695i | −0.370910 | − | 0.510514i | |||||
−4.61400 | + | 3.35227i | −0.659143 | + | 0.478895i | |||||
−0.480407 | − | 7.41324i | −0.0679399 | − | 1.04839i | |||||
0.103453 | + | 0.318395i | 0.0144863 | + | 0.0445842i | |||||
0.333354i | 0.0462279i | |||||||||
− | 7.48023i | − | 1.02749i | −0.857943 | − | 0.513744i | ||||
0.857943 | − | 0.513744i | ||||||||
−1.20200 | + | 0.873307i | −0.163572 | + | 0.118842i | |||||
7.30644 | − | 1.27120i | 0.985200 | − | 0.171409i | |||||
2.45360 | + | 1.78264i | 0.327876 | + | 0.238216i | |||||
−1.37321 | + | 1.89006i | −0.181886 | + | 0.250344i | |||||
−4.73627 | − | 6.51892i | −0.621903 | − | 0.855976i | |||||
1.60356 | 0.208766 | 0.104383 | − | 0.994537i | ||||||
0.104383 | + | 0.994537i | ||||||||
0.284693 | + | 0.366312i | 0.0367537 | + | 0.0472907i | |||||
−10.8237 | − | 7.86389i | −1.38583 | − | 1.00687i | −0.996308 | − | 0.0858520i | ||
−0.389526 | − | 0.921015i | ||||||||
− | 5.32208i | − | 0.675905i | |||||||
0.669348 | − | 0.921279i | 0.0843299 | − | 0.116070i | |||||
−2.16523 | + | 6.66389i | −0.270654 | + | 0.832987i | |||||
0.116227 | + | 3.59081i | 0.0144162 | + | 0.445385i | |||||
−3.54375 | + | 3.42405i | −0.436205 | + | 0.421471i | |||||
4.82355 | − | 6.63904i | 0.589290 | − | 0.811088i | −0.405385 | − | 0.914146i | ||
0.994675 | + | 0.103058i | ||||||||
−0.0408272 | + | 0.0561938i | −0.00495102 | + | 0.00681450i | |||||
−0.688449 | + | 0.500188i | −0.0828796 | + | 0.0602155i | |||||
−3.13106 | − | 2.12356i | −0.374234 | − | 0.253814i | |||||
3.00001 | − | 9.23308i | 0.356036 | − | 1.09576i | −0.599371 | − | 0.800471i | ||
0.955407 | − | 0.295293i | ||||||||
2.53291 | + | 0.822991i | 0.298506 | + | 0.0969904i | |||||
9.41599 | + | 12.9600i | 1.10206 | + | 1.51685i | 0.832627 | + | 0.553834i | ||
0.269432 | + | 0.963019i | ||||||||
−1.61910 | + | 4.98309i | −0.188217 | + | 0.579273i | |||||
3.19436 | + | 3.84656i | 0.368853 | + | 0.444163i | |||||
−0.484718 | −0.0556009 | |||||||||
1.77220 | − | 3.33525i | 0.201961 | − | 0.380087i | |||||
−1.40314 | − | 1.93126i | −0.158875 | − | 0.218672i | |||||
−3.20383 | −0.360459 | −0.180229 | − | 0.983625i | ||||||
−0.180229 | + | 0.983625i | ||||||||
2.71855 | − | 9.39028i | 0.303943 | − | 1.04987i | |||||
0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | |||||
3.37740 | + | 4.64859i | 0.372972 | + | 0.513351i | |||||
− | 7.65826i | − | 0.840604i | −0.907384 | − | 0.420302i | ||||
0.907384 | − | 0.420302i | ||||||||
0.236268 | 0.0257789 | |||||||||
−0.420188 | + | 0.619540i | −0.0455757 | + | 0.0671986i | |||||
4.67108 | − | 14.3761i | 0.503695 | − | 1.55022i | |||||
5.15794 | + | 1.67592i | 0.552989 | + | 0.179677i | |||||
8.69925 | + | 1.53143i | 0.927343 | + | 0.163251i | |||||
−0.641628 | − | 1.97473i | −0.0680124 | − | 0.209321i | 0.911274 | − | 0.411801i | ||
−0.979286 | + | 0.202480i | ||||||||
−3.19121 | − | 0.923878i | −0.336383 | − | 0.0973853i | |||||
1.48022 | + | 1.07544i | 0.155169 | + | 0.112737i | |||||
−0.167916 | − | 0.0545592i | −0.0175065 | − | 0.00568819i | |||||
2.10548 | + | 2.89795i | 0.218329 | + | 0.300503i | |||||
−20.0899 | −2.07211 | |||||||||
−5.22126 | + | 0.169002i | −0.535690 | + | 0.0173392i | |||||
0.361268 | + | 1.11187i | 0.0368718 | + | 0.113480i | |||||
− | 8.64882i | − | 0.878155i | −0.898449 | − | 0.439077i | ||||
0.898449 | − | 0.439077i | ||||||||
8.05888 | − | 2.61849i | 0.814070 | − | 0.264507i | |||||
0.575022 | − | 3.26640i | 0.0577919 | − | 0.328285i | |||||
−0.256097 | + | 1.00528i | −0.0256097 | + | 0.100528i | |||||
5.16305 | + | 3.75118i | 0.513743 | + | 0.373256i | 0.814242 | − | 0.580526i | ||
−0.300499 | + | 0.953782i | ||||||||
− | 0.497402i | − | 0.0492501i | |||||||
3.47870 | − | 4.78801i | 0.342766 | − | 0.471777i | −0.602481 | − | 0.798133i | ||
0.945247 | + | 0.326356i | ||||||||
−1.32230 | + | 4.06962i | −0.129662 | + | 0.399059i | |||||
2.54502 | − | 0.0823772i | 0.248368 | − | 0.00803920i | |||||
−3.43436 | + | 10.5699i | −0.333574 | + | 1.02664i | |||||
11.7035 | + | 3.80271i | 1.13142 | + | 0.367622i | 0.814117 | − | 0.580701i | ||
0.317307 | + | 0.948323i | ||||||||
0.197323 | − | 0.0641141i | 0.0189874 | − | 0.00616939i | |||||
−2.05837 | + | 6.33502i | −0.197156 | + | 0.606785i | 0.802788 | + | 0.596264i | ||
−0.999945 | + | 0.0105207i | ||||||||
−10.9079 | − | 1.55830i | −1.04003 | − | 0.148578i | |||||
−1.08975 | − | 3.35390i | −0.103434 | − | 0.318338i | |||||
−2.92633 | − | 4.02775i | −0.276512 | − | 0.380586i | |||||
3.60880 | − | 4.96709i | 0.339487 | − | 0.467264i | −0.604804 | − | 0.796374i | ||
0.944292 | + | 0.329110i | ||||||||
2.80817 | − | 2.04025i | 0.263009 | − | 0.191087i | |||||
−1.82777 | − | 0.529152i | −0.170441 | − | 0.0493437i | |||||
0.347715 | + | 1.07016i | 0.0322845 | + | 0.0993616i | |||||
1.52806 | + | 0.496498i | 0.141269 | + | 0.0459012i | |||||
−2.26590 | − | 0.736236i | −0.208593 | − | 0.0677760i | |||||
0.117808 | + | 0.362576i | 0.0107994 | + | 0.0332373i | |||||
2.02253 | + | 5.60125i | 0.184631 | + | 0.511322i | |||||
0.377813 | − | 10.9935i | 0.0343466 | − | 0.999410i | |||||
11.6838 | + | 16.0814i | 1.05780 | + | 1.45594i | |||||
−3.67809 | − | 1.19508i | −0.331642 | − | 0.107757i | |||||
−0.229661 | + | 0.706824i | −0.0206242 | + | 0.0634746i | |||||
−2.40811 | + | 10.9179i | −0.215388 | + | 0.976529i | |||||
−1.36880 | + | 0.994489i | −0.121942 | + | 0.0885962i | |||||
−8.37340 | + | 11.5250i | −0.743019 | + | 1.02268i | 0.255420 | + | 0.966830i | ||
−0.998439 | + | 0.0558481i | ||||||||
7.49346 | − | 10.3139i | 0.662335 | − | 0.911625i | |||||
3.14390 | + | 9.67594i | 0.276805 | + | 0.851919i | |||||
1.48440 | − | 5.12732i | 0.130190 | − | 0.449696i | |||||
−7.08937 | − | 5.15073i | −0.619402 | − | 0.450022i | 0.233311 | − | 0.972402i | ||
−0.852712 | + | 0.522381i | ||||||||
0.618400 | − | 0.301825i | 0.0538248 | − | 0.0262705i | |||||
−1.56376 | + | 2.15233i | −0.135595 | + | 0.186631i | |||||
−9.86401 | + | 7.16662i | −0.852121 | + | 0.619102i | |||||
2.10316 | − | 0.759420i | 0.181011 | − | 0.0653605i | |||||
−0.721323 | + | 0.524072i | −0.0618529 | + | 0.0449388i | |||||
−6.84710 | + | 2.22476i | −0.584987 | + | 0.190074i | −0.586534 | − | 0.809925i | ||
0.00154619 | + | 0.999999i | ||||||||
1.20245 | − | 0.390701i | 0.102360 | − | 0.0332587i | |||||
5.03733 | − | 3.65983i | 0.427260 | − | 0.310423i | −0.353292 | − | 0.935513i | ||
0.780552 | + | 0.625090i | ||||||||
0.324198 | + | 0.417143i | 0.0273997 | + | 0.0352550i | |||||
10.9392 | − | 7.94782i | 0.921250 | − | 0.669327i | |||||
−8.47827 | + | 11.6693i | −0.711480 | + | 0.979269i | |||||
5.24812 | + | 0.923889i | 0.438870 | + | 0.0772594i | |||||
−3.53695 | − | 2.56974i | −0.294746 | − | 0.214145i | |||||
4.11862 | + | 11.4062i | 0.342033 | + | 0.947236i | |||||
−7.35492 | − | 22.6361i | −0.608698 | − | 1.87338i | |||||
−3.35227 | + | 4.61400i | −0.276490 | + | 0.380556i | |||||
0.430065 | − | 0.591934i | 0.0353512 | − | 0.0486567i | |||||
−9.56831 | + | 6.95178i | −0.783867 | + | 0.569512i | −0.906137 | − | 0.422984i | ||
0.122270 | + | 0.992497i | ||||||||
−2.74771 | − | 6.90196i | −0.224350 | − | 0.563542i | |||||
0.561166 | − | 1.72709i | 0.0456670 | − | 0.140549i | −0.925623 | − | 0.378447i | ||
0.971290 | + | 0.237898i | ||||||||
−5.91748 | − | 1.92270i | −0.479971 | − | 0.155952i | |||||
0.196779 | + | 0.270843i | 0.0159086 | + | 0.0218963i | |||||
−4.03549 | + | 3.89918i | −0.325189 | + | 0.314205i | |||||
−2.22741 | + | 7.69380i | −0.178910 | + | 0.617981i | |||||
0.103012 | + | 0.317039i | 0.00824758 | + | 0.0253834i | |||||
3.13986 | + | 1.02020i | 0.250588 | + | 0.0814210i | 0.431618 | − | 0.902057i | ||
−0.181030 | + | 0.983478i | ||||||||
4.52714 | + | 1.47096i | 0.360160 | + | 0.117023i | |||||
−2.31152 | − | 7.11412i | −0.183315 | − | 0.564186i | |||||
−1.46734 | + | 2.16351i | −0.116004 | + | 0.171040i | |||||
−0.783981 | + | 0.569595i | −0.0617863 | + | 0.0448904i | |||||
−0.873307 | + | 1.20200i | −0.0686135 | + | 0.0944383i | |||||
−0.343477 | − | 0.472756i | −0.0269032 | − | 0.0370291i | 0.795353 | − | 0.606146i | ||
−0.822257 | + | 0.569117i | ||||||||
−0.247953 | − | 0.763121i | −0.0193619 | − | 0.0595898i | |||||
6.55601 | − | 3.46680i | 0.510385 | − | 0.269890i | |||||
−3.51610 | + | 10.8214i | −0.272902 | + | 0.839906i | |||||
−6.15976 | + | 2.00143i | −0.476656 | + | 0.154875i | −0.537485 | − | 0.843273i | ||
0.0608289 | + | 0.998148i | ||||||||
2.88438 | + | 0.937192i | 0.222535 | + | 0.0723059i | |||||
3.21950 | − | 9.90860i | 0.247654 | − | 0.762200i | |||||
0.878188 | − | 0.682517i | 0.0673539 | − | 0.0523466i | |||||
−0.721938 | + | 2.22190i | −0.0552080 | + | 0.169913i | |||||
−1.24073 | + | 1.70772i | −0.0946047 | + | 0.130212i | |||||
9.90987i | 0.753434i | 0.926328 | + | 0.376717i | ||||||
−0.926328 | + | 0.376717i | ||||||||
−6.51892 | − | 4.73627i | −0.494198 | − | 0.359056i | |||||
3.63762 | + | 4.38032i | 0.274978 | + | 0.331121i | |||||
−12.8046 | − | 6.80379i | −0.965183 | − | 0.512855i | |||||
1.52508 | − | 0.495529i | 0.114632 | − | 0.0372462i | |||||
3.08496i | 0.231227i | |||||||||
6.74480 | + | 20.7583i | 0.504130 | + | 1.55155i | 0.802229 | + | 0.597017i | ||
−0.298099 | + | 0.954535i | ||||||||
0.383956 | + | 0.260409i | 0.0286184 | + | 0.0194097i | |||||
−18.0079 | −1.33851 | −0.669257 | − | 0.743031i | ||||||
−0.669257 | + | 0.743031i | ||||||||
−1.59785 | − | 2.19925i | −0.118440 | − | 0.163019i | |||||
−12.7240 | − | 4.13429i | −0.940588 | − | 0.305615i | |||||
−1.83352 | − | 1.33213i | −0.135169 | − | 0.0982057i | |||||
4.42617 | − | 6.52611i | 0.325419 | − | 0.479809i | |||||
−1.64461 | − | 5.06160i | −0.120589 | − | 0.371135i | |||||
0.771527 | + | 0.798498i | 0.0564197 | + | 0.0583919i | |||||
2.66813 | + | 0.866928i | 0.194593 | + | 0.0632272i | |||||
0.351897 | − | 1.08303i | 0.0255967 | − | 0.0787787i | |||||
7.45544 | + | 2.15840i | 0.540874 | + | 0.156587i | |||||
−9.65493 | −0.698607 | −0.349303 | − | 0.937010i | ||||||
−0.349303 | + | 0.937010i | ||||||||
7.00683i | 0.505675i | |||||||||
−13.5014 | − | 18.5831i | −0.971855 | − | 1.33764i | −0.941104 | − | 0.338117i | ||
−0.0307508 | − | 0.999527i | ||||||||
−3.97089 | + | 12.2211i | −0.285093 | + | 0.877426i | |||||
1.22016 | + | 3.37915i | 0.0873775 | + | 0.241986i | |||||
−1.18329 | −0.0845208 | |||||||||
−0.215950 | − | 0.297229i | −0.0153858 | − | 0.0211767i | 0.801255 | − | 0.598323i | ||
−0.816641 | + | 0.577147i | ||||||||
−2.31221 | + | 4.35154i | −0.164322 | + | 0.309251i | |||||
−22.7175 | −1.61040 | −0.805199 | − | 0.593004i | ||||||
−0.805199 | + | 0.593004i | ||||||||
−7.11405 | + | 11.2567i | −0.503039 | + | 0.795969i | |||||
2.53589 | − | 7.80466i | 0.178868 | − | 0.550498i | |||||
−5.57334 | − | 7.67105i | −0.392139 | − | 0.539733i | |||||
5.87367 | + | 1.90847i | 0.412251 | + | 0.133948i | |||||
−0.0214641 | + | 0.0660598i | −0.00150279 | + | 0.00462511i | |||||
−2.93696 | − | 8.13370i | −0.205126 | − | 0.568082i | |||||
−7.11383 | + | 5.16850i | −0.495644 | + | 0.360107i | |||||
−0.500188 | + | 0.688449i | −0.0347654 | + | 0.0478505i | |||||
4.12881 | − | 5.68282i | 0.286281 | − | 0.394032i | |||||
−1.34339 | + | 7.63109i | −0.0929243 | + | 0.527853i | |||||
−3.63403 | − | 1.05208i | −0.250772 | − | 0.0726003i | |||||
0.731974 | − | 2.25278i | 0.0503911 | − | 0.155088i | −0.922694 | − | 0.385532i | ||
0.973086 | + | 0.230444i | ||||||||
0.912231 | − | 1.25558i | 0.0626523 | − | 0.0862335i | |||||
− | 9.70823i | − | 0.665197i | |||||||
−14.7916 | − | 10.7468i | −1.01114 | − | 0.734633i | |||||
−12.7694 | + | 18.8277i | −0.870866 | + | 1.28404i | |||||
2.66325 | 0.181212 | |||||||||
2.39765 | + | 3.30008i | 0.162763 | + | 0.224024i | |||||
5.81713 | − | 8.00659i | 0.393985 | − | 0.542274i | |||||
12.9600 | + | 9.41599i | 0.875756 | + | 0.636274i | |||||
1.38143 | + | 0.677662i | 0.0931362 | + | 0.0456880i | |||||
−0.435163 | + | 0.316164i | −0.0292722 | + | 0.0212675i | |||||
5.23953i | 0.351654i | |||||||||
17.1956i | 1.15150i | 0.817625 | + | 0.575751i | ||||||
−0.817625 | + | 0.575751i | ||||||||
0.411399 | + | 1.26616i | 0.0274878 | + | 0.0845986i | |||||
4.22667 | + | 2.67119i | 0.281778 | + | 0.178079i | |||||
−7.37989 | + | 5.36181i | −0.490903 | + | 0.356662i | |||||
7.93701 | + | 10.9244i | 0.526798 | + | 0.725075i | 0.986638 | − | 0.162927i | ||
−0.459840 | + | 0.888002i | ||||||||
−0.460994 | + | 0.149786i | −0.0305301 | + | 0.00991982i | |||||
−26.5252 | −1.75283 | −0.876416 | − | 0.481554i | ||||||
−0.876416 | + | 0.481554i | ||||||||
2.33977 | + | 1.58689i | 0.154280 | + | 0.104636i | |||||
0.654814 | − | 3.71965i | 0.0430836 | − | 0.244735i | |||||
14.4438i | 0.948284i | |||||||||
−11.2407 | + | 3.65234i | −0.736405 | + | 0.239273i | −0.653121 | − | 0.757253i | ||
−0.0832840 | + | 0.996526i | ||||||||
−1.93126 | − | 1.40314i | −0.126250 | − | 0.0917263i | |||||
29.0427 | + | 8.40806i | 1.89454 | + | 0.548482i | |||||
0.269163 | + | 0.195558i | 0.0175210 | + | 0.0127298i | |||||
−3.04702 | + | 0.990037i | −0.197925 | + | 0.0643098i | |||||
− | 0.566423i | − | 0.0367157i | |||||||
−3.25985 | −0.210862 | −0.105431 | − | 0.994427i | ||||||
−0.105431 | + | 0.994427i | ||||||||
−0.316261 | − | 9.77077i | −0.0204145 | − | 0.630700i | |||||
−7.45439 | + | 22.9423i | −0.480180 | + | 1.47784i | 0.358663 | + | 0.933467i | ||
−0.838843 | + | 0.544374i | ||||||||
−5.58126 | + | 15.3608i | −0.358777 | + | 0.987430i | |||||
− | 1.00000i | − | 0.0641500i | |||||||
−0.857773 | − | 2.63995i | −0.0549133 | − | 0.169006i | |||||
−12.7461 | + | 0.412567i | −0.814319 | + | 0.0263579i | |||||
4.64859 | + | 3.37740i | 0.296384 | + | 0.215335i | |||||
−3.56992 | − | 1.15994i | −0.227149 | − | 0.0738051i | |||||
−5.60744 | + | 7.71798i | −0.356073 | + | 0.490092i | |||||
−2.36653 | − | 7.28344i | −0.149973 | − | 0.461569i | |||||
8.41544 | − | 14.3218i | 0.532239 | − | 0.905793i | |||||
−11.8220 | − | 8.58921i | −0.746200 | − | 0.542146i | 0.148447 | − | 0.988920i | ||
−0.894647 | + | 0.446774i | ||||||||
0.224704 | − | 0.0730108i | 0.0141550 | − | 0.00459925i | |||||
−1.32432 | + | 2.49235i | −0.0832595 | + | 0.156693i | |||||
17.1234 | − | 12.4409i | 1.07442 | − | 0.780608i | |||||
−0.208174 | + | 0.719063i | −0.0130363 | + | 0.0450295i | |||||
−3.98662 | + | 2.89645i | −0.249164 | + | 0.181028i | |||||
1.12199 | − | 0.364556i | 0.0699877 | − | 0.0227404i | −0.273814 | − | 0.961783i | ||
0.343802 | + | 0.939042i | ||||||||
− | 15.1159i | − | 0.941077i | |||||||
−1.24097 | − | 3.81930i | −0.0771099 | − | 0.237320i | |||||
−0.418399 | + | 0.616902i | −0.0259480 | + | 0.0382587i | |||||
5.42338 | 0.335699 | |||||||||
7.65274 | + | 10.5331i | 0.472788 | + | 0.650737i | |||||
16.4735 | + | 5.35256i | 1.01580 | + | 0.330053i | 0.769161 | − | 0.639055i | ||
0.246637 | + | 0.969108i | ||||||||
8.74671 | − | 1.23174i | 0.538323 | − | 0.0758082i | |||||
9.38855 | − | 13.8428i | 0.576734 | − | 0.850358i | |||||
3.19784 | − | 2.32337i | 0.196072 | − | 0.142455i | |||||
−1.22045 | − | 1.67980i | −0.0746903 | − | 0.102802i | |||||
1.61929 | − | 0.526140i | 0.0989141 | − | 0.0321391i | |||||
−20.4757 | −1.24842 | −0.624212 | − | 0.781255i | ||||||
−0.624212 | + | 0.781255i | ||||||||
−3.32052 | + | 0.107479i | −0.202080 | + | 0.00654094i | |||||
−7.33051 | − | 5.32593i | −0.445297 | − | 0.323527i | 0.342439 | − | 0.939540i | ||
−0.787736 | + | 0.616013i | ||||||||
1.39199 | − | 0.452286i | 0.0844019 | − | 0.0274238i | |||||
1.74010 | + | 0.565393i | 0.105316 | + | 0.0342192i | |||||
10.6967 | 0.646210 | |||||||||
15.1167 | + | 6.81795i | 0.911573 | + | 0.411138i | |||||
−0.176557 | −0.0106275 | |||||||||
−17.6687 | − | 5.74092i | −1.06161 | − | 0.344939i | −0.274397 | − | 0.961617i | ||
−0.787216 | + | 0.616678i | ||||||||
−8.79826 | + | 2.85873i | −0.527685 | + | 0.171455i | |||||
2.89795 | + | 2.10548i | 0.173496 | + | 0.126052i | |||||
2.30318 | + | 6.37850i | 0.137641 | + | 0.381188i | |||||
−25.5737 | −1.52560 | −0.762800 | − | 0.646635i | ||||||
−0.762800 | + | 0.646635i | ||||||||
−19.1066 | + | 6.20812i | −1.13778 | + | 0.369688i | |||||
−7.08969 | − | 9.75812i | −0.421438 | − | 0.580060i | 0.544523 | − | 0.838746i | ||
−0.965962 | + | 0.258686i | ||||||||
1.62956 | − | 1.18394i | 0.0966964 | − | 0.0702540i | |||||
−4.91349 | + | 1.77419i | −0.291050 | + | 0.105094i | |||||
−6.99163 | − | 3.71503i | −0.413423 | − | 0.219674i | |||||
−4.18847 | − | 1.36092i | −0.247238 | − | 0.0803324i | |||||
0.687173 | + | 0.945813i | 0.0404921 | + | 0.0557326i | |||||
16.8879 | 0.993407 | |||||||||
−0.582897 | − | 18.0084i | −0.0342289 | − | 1.05749i | |||||
−2.67263 | − | 8.22552i | −0.156672 | − | 0.482188i | |||||
3.32368i | 0.194504i | |||||||||
−11.8281 | + | 3.84318i | −0.691005 | + | 0.224521i | −0.633407 | − | 0.773819i | ||
−0.0575979 | + | 0.998340i | ||||||||
6.85529 | − | 4.98066i | 0.399809 | − | 0.290478i | |||||
2.96754 | + | 2.01266i | 0.172777 | + | 0.117182i | |||||
7.59827 | − | 5.52047i | 0.441640 | − | 0.320871i | |||||
−0.462493 | − | 3.28422i | −0.0268366 | − | 0.190570i | |||||
16.7121 | − | 5.43010i | 0.968108 | − | 0.314557i | |||||
−1.10613 | − | 0.803652i | −0.0639692 | − | 0.0464764i | |||||
0.0670862 | + | 1.03522i | 0.00387322 | + | 0.0597683i | |||||
3.58016 | + | 11.0186i | 0.206357 | + | 0.635101i | |||||
−1.58590 | + | 2.18280i | −0.0912582 | + | 0.125606i | |||||
6.06953 | + | 1.97211i | 0.348685 | + | 0.113295i | |||||
8.26316 | + | 6.00354i | 0.473925 | + | 0.344326i | |||||
−10.1602 | − | 28.1378i | −0.581769 | − | 1.61117i | |||||
−0.153706 | − | 0.473057i | −0.00878677 | − | 0.0270429i | |||||
− | 14.7273i | − | 0.840533i | −0.907401 | − | 0.420266i | ||||
0.907401 | − | 0.420266i | ||||||||
0.704211 | − | 0.343708i | 0.0401261 | − | 0.0195846i | |||||
1.82886 | − | 5.62865i | 0.104040 | − | 0.320203i | |||||
6.67983 | − | 9.84899i | 0.379389 | − | 0.559385i | |||||
14.6914 | 0.833075 | 0.416538 | − | 0.909119i | ||||||
0.416538 | + | 0.909119i | ||||||||
4.27905i | 0.242254i | |||||||||
18.3410 | − | 5.95934i | 1.03669 | − | 0.336842i | 0.259259 | − | 0.965808i | ||
0.777433 | + | 0.628966i | ||||||||
−3.96835 | − | 2.88317i | −0.223947 | − | 0.162707i | |||||
2.39500 | − | 0.864799i | 0.134943 | − | 0.0487259i | |||||
−0.537772 | − | 0.390714i | −0.0302520 | − | 0.0219794i | |||||
26.6977 | − | 8.67462i | 1.49949 | − | 0.487215i | 0.559624 | − | 0.828747i | ||
0.939870 | + | 0.341532i | ||||||||
11.1138i | 0.623231i | |||||||||
17.8116 | − | 2.50828i | 0.997256 | − | 0.140436i | |||||
−12.3709 | + | 9.61452i | −0.691555 | + | 0.537468i | |||||
12.3058 | 0.686844 | |||||||||
1.36931 | − | 0.444916i | 0.0763087 | − | 0.0247942i | |||||
−0.459722 | − | 0.632753i | −0.0255796 | − | 0.0352073i | |||||
0.167853 | − | 0.121952i | 0.00932517 | − | 0.00677513i | |||||
−4.29179 | + | 6.79100i | −0.238066 | + | 0.376697i | |||||
0.268293 | + | 0.825722i | 0.0148594 | + | 0.0457325i | |||||
6.66103i | 0.368356i | |||||||||
− | 10.2998i | − | 0.568711i | |||||||
12.4572 | − | 9.05068i | 0.686788 | − | 0.498980i | |||||
−10.8556 | + | 1.88870i | −0.597581 | + | 0.103970i | |||||
8.11726 | + | 5.89754i | 0.446165 | + | 0.324158i | 0.788080 | − | 0.615573i | ||
−0.341915 | + | 0.939731i | ||||||||
0.933943 | − | 1.28546i | 0.0512568 | − | 0.0705489i | |||||
−2.07283 | − | 2.85300i | −0.113590 | − | 0.156344i | |||||
9.62289 | 0.526541 | |||||||||
17.2592 | − | 6.23203i | 0.942969 | − | 0.340492i | |||||
−4.02775 | − | 2.92633i | −0.219732 | − | 0.159644i | |||||
− | 8.50999i | − | 0.463569i | −0.972767 | − | 0.231784i | ||||
0.972767 | − | 0.231784i | ||||||||
−9.09856 | + | 12.5231i | −0.494896 | + | 0.681166i | |||||
1.89726 | − | 5.83916i | 0.103045 | − | 0.317140i | |||||
−0.146084 | + | 0.0527488i | −0.00792252 | + | 0.00286071i | |||||
10.4913 | + | 5.57459i | 0.568135 | + | 0.301881i | |||||
2.04025 | − | 2.80817i | 0.110324 | − | 0.151848i | |||||
−8.50287 | + | 11.7032i | −0.459112 | + | 0.631914i | |||||
−21.9208 | + | 15.9264i | −1.18189 | + | 0.858695i | |||||
−1.90183 | + | 0.0615585i | −0.102391 | + | 0.00331420i | |||||
4.54987 | − | 14.0030i | 0.244602 | − | 0.752808i | |||||
−10.5614 | − | 3.43162i | −0.566968 | − | 0.184219i | 0.0114862 | − | 0.999934i | ||
−0.578454 | + | 0.815715i | ||||||||
0.661393 | + | 0.910330i | 0.0354544 | + | 0.0487988i | |||||
10.2585 | − | 31.5725i | 0.549126 | − | 1.69004i | −0.161845 | − | 0.986816i | ||
0.710971 | − | 0.703221i | ||||||||
−3.12899 | − | 7.85969i | −0.167252 | − | 0.420118i | |||||
1.60670 | 0.0857593 | |||||||||
2.69426 | + | 2.78845i | 0.143605 | + | 0.148625i | |||||
−10.4098 | − | 14.3278i | −0.554056 | − | 0.762592i | 0.436500 | − | 0.899704i | ||
−0.990556 | + | 0.137112i | ||||||||
−2.38251 | −0.126629 | |||||||||
17.1404 | − | 13.3213i | 0.909717 | − | 0.707020i | |||||
0.133123 | − | 0.409712i | 0.00705553 | − | 0.0217147i | |||||
0.224084 | + | 0.308425i | 0.0118598 | + | 0.0163236i | |||||
− | 32.4291i | − | 1.71393i | |||||||
−5.63206 | −0.297249 | −0.148624 | − | 0.988894i | ||||||
−0.148624 | + | 0.988894i | ||||||||
3.65442 | + | 4.70211i | 0.192605 | + | 0.247823i | |||||
−4.18470 | + | 12.8792i | −0.220248 | + | 0.677852i | |||||
25.4458 | + | 8.26786i | 1.33740 | + | 0.434549i | |||||
−3.03786 | − | 10.5722i | −0.159446 | − | 0.554897i | |||||
0.117306 | + | 0.361032i | 0.00614853 | + | 0.0189232i | |||||
1.15883 | + | 35.8018i | 0.0606562 | + | 1.87395i | |||||
16.0814 | + | 11.6838i | 0.840589 | + | 0.610724i | |||||
1.76001 | + | 0.571863i | 0.0918719 | + | 0.0298510i | 0.354592 | − | 0.935021i | ||
−0.262720 | + | 0.964872i | ||||||||
2.18677 | + | 3.00984i | 0.113994 | + | 0.156899i | |||||
−3.86737 | −0.201327 | |||||||||
−9.25066 | + | 7.18949i | −0.480919 | + | 0.373764i | |||||
−2.63227 | − | 8.10129i | −0.136661 | − | 0.420598i | |||||
0.743198i | 0.0385330i | |||||||||
13.4960 | − | 4.38512i | 0.698798 | − | 0.227053i | 0.0619910 | − | 0.998077i | ||
0.636807 | + | 0.771024i | ||||||||
−0.723589 | − | 1.48254i | −0.0374159 | − | 0.0766601i | |||||
1.08357 | + | 11.1277i | 0.0559555 | + | 0.574632i | |||||
29.1340 | + | 21.1671i | 1.50247 | + | 1.09161i | |||||
8.71374i | 0.448780i | |||||||||
−0.994489 | + | 1.36880i | −0.0511510 | + | 0.0704033i | |||||
−3.51892 | + | 10.8301i | −0.180755 | + | 0.556306i | −0.999849 | − | 0.0173523i | ||
0.819095 | + | 0.573658i | ||||||||
−0.897014 | − | 0.608377i | −0.0460158 | − | 0.0312091i | |||||
−4.40216 | + | 13.5484i | −0.225529 | + | 0.694108i | |||||
13.6428 | + | 4.43282i | 0.698027 | + | 0.226803i | |||||
−13.4176 | + | 4.35964i | −0.685608 | + | 0.222767i | −0.631049 | − | 0.775743i | ||
−0.0545588 | + | 0.998511i | ||||||||
3.93955 | − | 12.1247i | 0.201039 | − | 0.618735i | |||||
7.46574 | − | 3.94786i | 0.380490 | − | 0.201202i | |||||
10.5461 | + | 32.4576i | 0.536782 | + | 1.65205i | |||||
5.98006 | + | 8.23084i | 0.303983 | + | 0.418397i | |||||
1.05474 | − | 1.45173i | 0.0535465 | − | 0.0737004i | |||||
12.0646 | − | 8.76541i | 0.611697 | − | 0.444424i | −0.238314 | − | 0.971188i | ||
0.850012 | + | 0.526764i | ||||||||
−0.172686 | − | 5.33508i | −0.00874429 | − | 0.270152i | |||||
−0.0880351 | − | 0.270944i | −0.00445213 | − | 0.0137022i | |||||
−14.4457 | − | 4.69370i | −0.729619 | − | 0.237068i | |||||
−8.33406 | − | 2.70790i | −0.420398 | − | 0.136595i | |||||
0.168680 | + | 0.519144i | 0.00849799 | + | 0.0261541i | |||||
−5.92897 | − | 4.02117i | −0.298319 | − | 0.202327i | |||||
0.494864 | − | 0.478149i | 0.0248678 | − | 0.0240279i | |||||
5.16665 | + | 7.11129i | 0.259307 | + | 0.356905i | 0.918744 | − | 0.394855i | ||
−0.659437 | + | 0.751760i | ||||||||
32.1007 | + | 10.4301i | 1.60906 | + | 0.522816i | |||||
−0.822116 | + | 2.53021i | −0.0411573 | + | 0.126669i | |||||
16.8168 | − | 13.9655i | 0.840841 | − | 0.698273i | |||||
14.3838 | − | 10.4504i | 0.718291 | − | 0.521869i | −0.167547 | − | 0.985864i | ||
0.885838 | + | 0.463995i | ||||||||
−7.16662 | + | 9.86401i | −0.357439 | + | 0.491972i | |||||
−3.38288 | + | 4.65614i | −0.168513 | + | 0.231939i | |||||
0.409169 | + | 1.25929i | 0.0203569 | + | 0.0626521i | |||||
1.76555 | − | 1.37216i | 0.0877309 | − | 0.0681834i | |||||
−7.42350 | − | 5.39349i | −0.368422 | − | 0.267674i | |||||
−8.12711 | − | 8.41121i | −0.402846 | − | 0.416928i | |||||
−0.524072 | + | 0.721323i | −0.0259454 | + | 0.0357108i | |||||
8.65156 | − | 6.28573i | 0.427792 | − | 0.310809i | −0.352973 | − | 0.935633i | ||
0.780766 | + | 0.624824i | ||||||||
0.415660 | + | 12.8417i | 0.0205280 | + | 0.634205i | |||||
−5.82449 | + | 4.23174i | −0.287301 | + | 0.208736i | |||||
1.16782 | − | 0.379447i | 0.0575343 | − | 0.0186940i | |||||
1.73670 | − | 0.564290i | 0.0854576 | − | 0.0277669i | |||||
1.02287 | − | 0.743158i | 0.0502713 | − | 0.0365242i | |||||
9.61201 | − | 14.1723i | 0.471835 | − | 0.695691i | |||||
−1.51964 | + | 1.10408i | −0.0745064 | + | 0.0541321i | |||||
3.65983 | − | 5.03733i | 0.179223 | − | 0.246679i | |||||
5.40188 | − | 10.1662i | 0.264215 | − | 0.497248i | |||||
7.73548 | + | 5.62016i | 0.377903 | + | 0.274563i | 0.760480 | − | 0.649361i | ||
−0.382577 | + | 0.923923i | ||||||||
0.437235 | + | 0.296544i | 0.0213349 | + | 0.0144698i | |||||
7.69125 | + | 23.6712i | 0.374849 | + | 1.15367i | 0.943581 | + | 0.331143i | ||
−0.568732 | + | 0.822523i | ||||||||
−2.06862 | + | 2.84721i | −0.100699 | + | 0.138600i | |||||
7.94782 | − | 10.9392i | 0.386436 | − | 0.531884i | |||||
16.1170 | − | 11.7097i | 0.782712 | − | 0.568674i | |||||
−1.55519 | + | 0.619131i | −0.0754378 | + | 0.0300323i | |||||
−4.45729 | + | 13.7181i | −0.215956 | + | 0.664645i | |||||
−14.4897 | − | 4.70798i | −0.701204 | − | 0.227835i | |||||
1.50072 | + | 2.06557i | 0.0725402 | + | 0.0998431i | |||||
5.27676 | − | 0.743088i | 0.254764 | − | 0.0358766i | |||||
26.6879 | − | 20.7415i | 1.28701 | − | 1.00025i | |||||
−1.26233 | − | 3.88505i | −0.0608043 | − | 0.187136i | 0.916040 | − | 0.401086i | ||
−0.976845 | + | 0.213950i | ||||||||
−4.15793 | − | 1.35099i | −0.200049 | − | 0.0649997i | |||||
−26.9318 | − | 8.75066i | −1.29426 | − | 0.420530i | −0.420678 | − | 0.907210i | ||
−0.873580 | + | 0.486680i | ||||||||
−1.87282 | − | 5.76396i | −0.0898985 | − | 0.276679i | |||||
7.44176 | + | 9.57524i | 0.356805 | + | 0.459098i | |||||
−1.11807 | + | 0.812329i | −0.0535460 | + | 0.0389035i | |||||
1.16856 | − | 1.60838i | 0.0558997 | − | 0.0769394i | |||||
−13.9899 | − | 19.2554i | −0.668463 | − | 0.920060i | |||||
7.67554 | + | 23.6229i | 0.366334 | + | 1.12746i | 0.949142 | + | 0.314849i | ||
−0.582808 | + | 0.812610i | ||||||||
14.1766 | + | 13.7526i | 0.675844 | + | 0.655630i | |||||
−1.76239 | + | 5.42408i | −0.0839234 | + | 0.258290i | |||||
0.760061 | − | 0.246959i | 0.0361524 | − | 0.0117466i | |||||
−18.8108 | − | 6.11200i | −0.893727 | − | 0.290390i | −0.174082 | − | 0.984731i | ||
−0.719646 | + | 0.694342i | ||||||||
0.226099 | − | 0.695860i | 0.0107302 | − | 0.0330241i | |||||
1.29112 | − | 4.45973i | 0.0612051 | − | 0.211411i | |||||
7.89492 | − | 24.2981i | 0.373835 | − | 1.15055i | |||||
−6.95178 | + | 9.56831i | −0.328808 | + | 0.452566i | |||||
7.97912i | 0.376978i | |||||||||
10.4666 | + | 7.60441i | 0.493948 | + | 0.358874i | 0.806701 | − | 0.590960i | ||
−0.312752 | + | 0.949835i | ||||||||
−4.74605 | − | 5.71506i | −0.223731 | − | 0.269411i | |||||
−12.7013 | + | 1.78863i | −0.598081 | + | 0.0842235i | |||||
1.21150 | − | 0.393639i | 0.0569840 | − | 0.0185152i | |||||
− | 1.81597i | − | 0.0853217i | |||||||
−6.19967 | − | 19.0806i | −0.290965 | − | 0.895498i | |||||
1.38947 | + | 3.84805i | 0.0651395 | + | 0.180399i | |||||
−6.22200 | −0.291372 | |||||||||
−22.3917 | − | 30.8195i | −1.04744 | − | 1.44167i | −0.891009 | − | 0.453986i | ||
−0.156429 | − | 0.987689i | ||||||||
37.4811 | + | 12.1784i | 1.75138 | + | 0.569057i | |||||
0.270843 | + | 0.196779i | 0.0126418 | + | 0.00918484i | |||||
−0.242265 | − | 0.311721i | −0.0112957 | − | 0.0145341i | |||||
−3.22683 | − | 9.93117i | −0.150289 | − | 0.462541i | 0.847365 | − | 0.531012i | ||
−0.997653 | + | 0.0684710i | ||||||||
−2.63306 | + | 4.95538i | −0.122501 | + | 0.230545i | |||||
−13.0716 | − | 4.24723i | −0.607490 | − | 0.197386i | −0.0109121 | − | 0.999940i | ||
−0.596578 | + | 0.802555i | ||||||||
7.32695 | − | 22.5500i | 0.340145 | − | 1.04686i | |||||
0.259124 | + | 8.00555i | 0.0120166 | + | 0.371248i | |||||
17.5605 | 0.813474 | |||||||||
19.6140i | 0.907626i | 0.891097 | + | 0.453813i | ||||||
−0.891097 | + | 0.453813i | ||||||||
0.195941 | + | 0.269689i | 0.00905737 | + | 0.0124664i | |||||
2.88778 | − | 8.88766i | 0.133345 | − | 0.410394i | |||||
−37.1782 | − | 25.2151i | −1.71490 | − | 1.16309i | |||||
3.30144 | 0.152123 | |||||||||
2.51025 | + | 3.45507i | 0.115544 | + | 0.159032i | |||||
23.4465 | + | 24.2662i | 1.07807 | + | 1.11576i | |||||
4.76011 | 0.218639 | |||||||||
−9.87452 | − | 6.24053i | −0.453074 | − | 0.286335i | |||||
−0.0244425 | + | 0.0752264i | −0.00112032 | + | 0.00344800i | |||||
−4.39677 | − | 6.05163i | −0.201314 | − | 0.277085i | |||||
4.60630 | + | 1.49668i | 0.210687 | + | 0.0684564i | |||||
8.31169 | − | 25.5807i | 0.379771 | − | 1.16881i | −0.560433 | − | 0.828200i | ||
0.940203 | − | 0.340614i | ||||||||
−0.726966 | + | 2.51105i | −0.0331813 | + | 0.114613i | |||||
4.58392 | − | 3.33041i | 0.209009 | − | 0.151854i | |||||
21.0667 | − | 28.9958i | 0.959562 | − | 1.32072i | |||||
−0.569595 | + | 0.783981i | −0.0259175 | + | 0.0356723i | |||||
1.40410 | − | 1.79922i | 0.0638228 | − | 0.0817826i | |||||
10.8553 | − | 16.0054i | 0.492913 | − | 0.726769i | |||||
−0.459125 | + | 1.41304i | −0.0208263 | + | 0.0640968i | |||||
−10.6228 | + | 14.6210i | −0.481364 | + | 0.662541i | −0.978766 | − | 0.204979i | ||
0.497402 | + | 0.867520i | ||||||||
− | 35.6313i | − | 1.61295i | |||||||
−0.472756 | − | 0.343477i | −0.0213788 | − | 0.0155326i | |||||
18.2002 | + | 5.26908i | 0.822201 | + | 0.238033i | |||||
24.4711 | 1.10437 | 0.552184 | − | 0.833722i | ||||||
0.552184 | + | 0.833722i | ||||||||
−0.471635 | − | 0.649150i | −0.0212629 | − | 0.0292659i | |||||
−1.06720 | + | 1.46888i | −0.0480645 | + | 0.0661551i | |||||
4.51189 | + | 3.27808i | 0.202999 | + | 0.147488i | |||||
5.16384 | − | 5.32304i | 0.232097 | − | 0.239253i | |||||
12.6696 | − | 9.20498i | 0.568881 | − | 0.413316i | |||||
− | 11.0554i | − | 0.495901i | |||||||
11.3783i | 0.509875i | |||||||||
−9.77256 | − | 30.0768i | −0.437480 | − | 1.34642i | −0.890524 | − | 0.454936i | ||
0.453044 | − | 0.891488i | ||||||||
−1.73567 | + | 1.53893i | −0.0776217 | + | 0.0688231i | |||||
−5.23980 | + | 3.80694i | −0.234097 | + | 0.170082i | |||||
12.7615 | + | 17.5647i | 0.569573 | + | 0.783950i | |||||
21.1073 | − | 6.85817i | 0.941128 | − | 0.305791i | 0.202022 | − | 0.979381i | ||
0.739105 | + | 0.673590i | ||||||||
3.03282 | 0.135092 | |||||||||
4.84653 | + | 13.4221i | 0.215668 | + | 0.597276i | |||||
3.01562 | − | 2.91376i | 0.134061 | − | 0.129533i | |||||
− | 10.4185i | − | 0.462702i | |||||||
−2.81100 | + | 0.913350i | −0.124718 | + | 0.0405233i | |||||
−26.6172 | − | 19.3385i | −1.17979 | − | 0.857165i | −0.187639 | − | 0.982238i | ||
−0.992148 | + | 0.125072i | ||||||||
0.624297 | − | 0.920487i | 0.0276443 | − | 0.0407598i | |||||
14.7584 | + | 10.7226i | 0.652872 | + | 0.474339i | |||||
−17.2863 | + | 5.61665i | −0.763952 | + | 0.248223i | |||||
2.33624i | 0.103148i | |||||||||
−1.75279 | −0.0773123 | |||||||||
12.4472 | − | 4.49448i | 0.548487 | − | 0.198051i | |||||
−0.652290 | + | 2.00754i | −0.0287154 | + | 0.0883771i | |||||
21.0431 | − | 39.6027i | 0.925473 | − | 1.74172i | |||||
5.96658i | 0.262157i | |||||||||
3.06232 | + | 9.42485i | 0.134421 | + | 0.413705i | |||||
−7.55488 | + | 5.87156i | −0.331303 | + | 0.257485i | |||||
−8.78134 | − | 6.38002i | −0.384718 | − | 0.279514i | 0.378570 | − | 0.925573i | ||
−0.763287 | + | 0.646059i | ||||||||
−7.66345 | − | 2.49001i | −0.335420 | − | 0.108985i | |||||
−23.2819 | + | 32.0448i | −1.01805 | + | 1.40122i | −0.104485 | + | 0.994527i | ||
−0.913563 | + | 0.406696i | ||||||||
−0.561829 | − | 1.72913i | −0.0245436 | − | 0.0755375i | |||||
4.81318 | + | 3.04185i | 0.210064 | + | 0.132757i | |||||
−20.8202 | − | 15.1268i | −0.907803 | − | 0.659558i | |||||
−1.14051 | + | 0.370574i | −0.0496814 | + | 0.0161425i | |||||
−14.2804 | − | 2.51395i | −0.621474 | − | 0.109405i | |||||
−18.0215 | + | 13.0934i | −0.783545 | + | 0.569279i | |||||
−19.6220 | + | 15.2500i | −0.852325 | + | 0.662416i | |||||
1.29731 | − | 0.942551i | 0.0562985 | − | 0.0409032i | |||||
−0.524963 | + | 0.170571i | −0.0227600 | + | 0.00739518i | |||||
− | 6.21371i | − | 0.269146i | |||||||
0.953304 | + | 2.93397i | 0.0412535 | + | 0.126965i | |||||
16.8856 | + | 21.7266i | 0.730028 | + | 0.939321i | |||||
21.8555 | 0.944013 | |||||||||
12.8294 | + | 17.6581i | 0.553628 | + | 0.762004i | |||||
28.9330 | + | 9.40089i | 1.24739 | + | 0.405301i | |||||
−3.27948 | + | 18.6290i | −0.141257 | + | 0.802407i | |||||
0.445635 | + | 0.129014i | 0.0191771 | + | 0.00555189i | |||||
−2.58758 | + | 1.87999i | −0.111249 | + | 0.0808269i | −0.642019 | − | 0.766689i | ||
0.530770 | + | 0.847516i | ||||||||
7.91304 | + | 10.8914i | 0.339894 | + | 0.467824i | |||||
−17.1265 | + | 5.56474i | −0.734969 | + | 0.238806i | |||||
−0.391388 | −0.0167806 | |||||||||
−11.7604 | + | 9.14003i | −0.503760 | + | 0.391516i | |||||
−2.19925 | − | 1.59785i | −0.0941191 | − | 0.0683815i | |||||
14.1673 | − | 4.60325i | 0.605752 | − | 0.196821i | 0.00994761 | − | 0.999951i | ||
0.595804 | + | 0.803130i | ||||||||
−1.42062 | − | 0.461588i | −0.0606859 | − | 0.0197181i | |||||
−13.3788 | −0.570995 | |||||||||
−18.2303 | − | 16.5745i | −0.777341 | − | 0.706739i | |||||
−12.6703 | −0.539773 | |||||||||
−2.15543 | − | 0.700341i | −0.0917411 | − | 0.0298085i | |||||
−3.46983 | + | 1.12742i | −0.147552 | + | 0.0479427i | |||||
22.3308 | + | 16.2243i | 0.948747 | + | 0.689305i | |||||
2.19286 | − | 7.57446i | 0.0930817 | − | 0.321518i | |||||
1.29185 | 0.0547869 | |||||||||
15.3542 | − | 4.98887i | 0.650577 | − | 0.211385i | 0.0349082 | − | 0.999391i | ||
0.615668 | + | 0.788005i | ||||||||
−3.12824 | − | 4.30565i | −0.132429 | − | 0.182273i | |||||
−13.2245 | + | 9.60816i | −0.559337 | + | 0.406382i | |||||
−0.360146 | − | 11.1266i | −0.0152189 | − | 0.470184i | |||||
0.980515 | + | 0.521001i | 0.0413974 | + | 0.0219967i | |||||
36.1367 | + | 11.7415i | 1.52433 | + | 0.495286i | |||||
−5.59789 | − | 7.70483i | −0.235923 | − | 0.324720i | 0.674596 | − | 0.738187i | ||
−0.910519 | + | 0.413467i | ||||||||
2.80544 | 0.118130 | |||||||||
12.9127 | − | 4.66258i | 0.543241 | − | 0.196156i | |||||
5.53782 | + | 17.0437i | 0.232772 | + | 0.716399i | |||||
− | 1.13876i | − | 0.0478235i | |||||||
24.5900 | − | 7.98979i | 1.03178 | − | 0.335244i | |||||
−14.6199 | + | 10.6220i | −0.612899 | + | 0.445297i | −0.850434 | − | 0.526082i | ||
0.237535 | + | 0.971379i | ||||||||
7.75753 | − | 0.251096i | 0.324927 | − | 0.0105172i | |||||
−4.25376 | + | 3.09053i | −0.178014 | + | 0.129335i | −0.673224 | − | 0.739438i | ||
0.495210 | + | 0.868773i | ||||||||
0.768242 | + | 0.795098i | 0.0321218 | + | 0.0332447i | |||||
−9.18239 | + | 2.98354i | −0.383600 | + | 0.124639i | |||||
5.29365 | + | 3.84606i | 0.220953 | + | 0.160531i | |||||
−2.71831 | − | 3.27331i | −0.113361 | − | 0.136506i | |||||
2.16523 | + | 6.66389i | 0.0902179 | + | 0.277662i | |||||
−4.56807 | + | 6.28741i | −0.190171 | + | 0.261748i | −0.893447 | − | 0.449169i | ||
0.703275 | + | 0.710918i | ||||||||
−23.8633 | − | 7.75366i | −0.992583 | − | 0.322510i | |||||
−18.5831 | − | 13.5014i | −0.772289 | − | 0.561101i | |||||
−0.699693 | + | 2.41684i | −0.0290532 | + | 0.100354i | |||||
−2.69492 | − | 8.29411i | −0.111804 | − | 0.344098i | |||||
12.8501i | 0.532652i | |||||||||
−17.2388 | − | 17.8414i | −0.713958 | − | 0.738916i | |||||
−13.1839 | + | 40.5757i | −0.545552 | + | 1.67904i | |||||
2.20466 | + | 2.83671i | 0.0911513 | + | 0.117284i | |||||
18.4781 | 0.763323 | |||||||||
− | 7.22521i | − | 0.298216i | −0.988821 | − | 0.149108i | ||||
0.988821 | − | 0.149108i | ||||||||
−1.12538 | + | 0.365657i | −0.0464097 | + | 0.0150794i | |||||
−6.77031 | − | 4.91892i | −0.278966 | − | 0.202680i | |||||
−3.26919 | − | 4.20644i | −0.134590 | − | 0.173176i | |||||
−0.297229 | − | 0.215950i | −0.0122264 | − | 0.00888298i | |||||
−14.6630 | + | 4.76428i | −0.602644 | + | 0.195811i | |||||
− | 15.1769i | − | 0.623239i | −0.950207 | − | 0.311619i | ||||
0.950207 | − | 0.311619i | ||||||||
−0.854344 | + | 4.85308i | −0.0350542 | + | 0.199124i | |||||
−0.237060 | + | 0.818842i | −0.00971853 | + | 0.0335693i | |||||
−2.45386 | −0.100514 | |||||||||
−21.6056 | + | 7.02008i | −0.884258 | + | 0.287313i | |||||
1.19403 | + | 1.64344i | 0.0488276 | + | 0.0672054i | |||||
16.6965 | − | 12.1307i | 0.682199 | − | 0.495647i | −0.191887 | − | 0.981417i | ||
0.874087 | + | 0.485770i | ||||||||
−3.28735 | + | 12.9041i | −0.134205 | + | 0.526809i | |||||
−3.85300 | − | 11.8583i | −0.157167 | − | 0.483711i | 0.841207 | − | 0.540714i | ||
−0.998374 | + | 0.0570024i | ||||||||
− | 17.2135i | − | 0.701568i | |||||||
− | 8.20631i | − | 0.334187i | |||||||
0.304816 | − | 0.221462i | 0.0124028 | − | 0.00901115i | |||||
14.4973 | − | 19.8703i | 0.589399 | − | 0.807842i | |||||
−7.67105 | − | 5.57334i | −0.311615 | − | 0.226401i | |||||
−12.1196 | + | 16.6813i | −0.491921 | + | 0.677072i | −0.980741 | − | 0.195313i | ||
0.488820 | + | 0.872385i | ||||||||
−1.60540 | − | 2.20965i | −0.0651077 | − | 0.0896130i | |||||
6.17594 | 0.250262 | |||||||||
1.43794 | + | 44.4247i | 0.0582205 | + | 1.79870i | |||||
17.5761 | + | 12.7698i | 0.711052 | + | 0.516609i | |||||
0.0694593i | 0.00280773i | |||||||||
−21.4925 | + | 29.5818i | −0.868073 | + | 1.19480i | 0.111511 | + | 0.993763i | ||
−0.979584 | + | 0.201036i | ||||||||
−6.76168 | + | 20.8103i | −0.272879 | + | 0.839835i | |||||
−5.30667 | − | 6.82804i | −0.213985 | − | 0.275333i | |||||
9.96043 | − | 1.40266i | 0.401317 | − | 0.0565147i | |||||
−21.5935 | + | 29.7209i | −0.869323 | + | 1.19652i | 0.109942 | + | 0.993938i | ||
−0.979265 | + | 0.202582i | ||||||||
−5.16850 | + | 7.11383i | −0.207908 | + | 0.286160i | |||||
−5.48353 | + | 3.98402i | −0.220402 | + | 0.160131i | −0.692507 | − | 0.721411i | ||
0.472106 | + | 0.881542i | ||||||||
−1.31215 | + | 1.01979i | −0.0526974 | + | 0.0409557i | |||||
−0.262964 | + | 0.809321i | −0.0105524 | + | 0.0324769i | |||||
−20.7596 | − | 6.74520i | −0.832384 | − | 0.270458i | |||||
−1.38980 | − | 1.91290i | −0.0556812 | − | 0.0766387i | |||||
2.17064 | − | 6.68055i | 0.0868952 | − | 0.267436i | |||||
−18.1597 | + | 17.1821i | −0.726387 | + | 0.687286i | |||||
−28.6526 | −1.14519 | |||||||||
1.08050 | + | 7.67273i | 0.0431508 | + | 0.306419i | |||||
0.402619 | + | 0.554157i | 0.0160662 | + | 0.0221133i | |||||
1.18060 | 0.0470737 | |||||||||
−3.78128 | + | 0.122393i | −0.150650 | + | 0.00487624i | |||||
−11.1154 | + | 34.2096i | −0.442496 | + | 1.36186i | 0.442710 | + | 0.896665i | ||
−0.885206 | + | 0.465199i | ||||||||
−5.01534 | − | 6.90302i | −0.199500 | − | 0.274588i | |||||
− | 2.36872i | − | 0.0941480i | |||||||
−41.7077 | −1.65642 | |||||||||
−29.9609 | + | 10.8185i | −1.18896 | + | 0.429317i | |||||
0.479588 | − | 1.47602i | 0.0190169 | − | 0.0585280i | |||||
−8.71488 | − | 2.83163i | −0.345296 | − | 0.112193i | |||||
−26.3201 | − | 4.63343i | −1.04202 | − | 0.183439i | |||||
−3.00001 | − | 9.23308i | −0.118679 | − | 0.365255i | |||||
26.8124 | − | 9.68157i | 1.05985 | − | 0.382698i | |||||
−36.6321 | − | 26.6148i | −1.44688 | − | 1.05122i | −0.986547 | − | 0.163476i | ||
−0.460335 | − | 0.887745i | ||||||||
−17.3886 | − | 5.64991i | −0.686274 | − | 0.222984i | |||||
17.8552 | + | 24.5756i | 0.704140 | + | 0.969166i | 0.999903 | + | 0.0139045i | ||
−0.295763 | + | 0.955261i | ||||||||
−0.201057 | −0.00792275 | |||||||||
−6.32635 | + | 21.8522i | −0.249100 | + | 0.860428i | |||||
0.359093 | + | 1.10518i | 0.0141283 | + | 0.0434825i | |||||
0.461196i | 0.0181315i | 0.999959 | + | 0.00906574i | ||||||
−0.999959 | + | 0.00906574i | ||||||||
2.53291 | − | 0.822991i | 0.0995019 | − | 0.0323301i | |||||
3.82473 | − | 3.69554i | 0.150134 | − | 0.145063i | |||||
9.18239 | − | 7.62548i | 0.360163 | − | 0.299096i | |||||
3.30008 | + | 2.39765i | 0.129340 | + | 0.0939712i | |||||
− | 0.121241i | − | 0.00474818i | |||||||
−4.74471 | + | 6.53053i | −0.185675 | + | 0.255560i | −0.891700 | − | 0.452628i | ||
0.706025 | + | 0.708187i | ||||||||
3.05824 | − | 9.41231i | 0.119587 | − | 0.368050i | |||||
−6.65476 | − | 18.4299i | −0.260023 | − | 0.720115i | |||||
−5.22480 | + | 16.0803i | −0.203994 | + | 0.627829i | |||||
15.2354 | + | 4.95028i | 0.594389 | + | 0.193129i | |||||
−21.7579 | + | 7.06957i | −0.848212 | + | 0.275601i | |||||
−1.70781 | + | 5.25610i | −0.0665269 | + | 0.204749i | −0.978794 | − | 0.204847i | ||
0.912267 | + | 0.409596i | ||||||||
1.52323 | + | 0.217608i | 0.0592917 | + | 0.00847039i | |||||
4.67077 | + | 14.3752i | 0.181672 | + | 0.559129i | 0.999875 | − | 0.0158003i | ||
−0.818203 | + | 0.574929i | ||||||||
−8.76231 | − | 12.0603i | −0.340557 | − | 0.468736i | |||||
−0.316164 | + | 0.435163i | −0.0122788 | + | 0.0169003i | |||||
16.5006 | − | 11.9884i | 0.640349 | − | 0.465241i | |||||
−5.59530 | + | 2.02038i | −0.216976 | + | 0.0783469i | |||||
1.61910 | + | 4.98309i | 0.0627390 | + | 0.193091i | |||||
−4.38925 | − | 1.42615i | −0.169952 | − | 0.0552209i | |||||
−1.27801 | − | 0.415251i | −0.0494478 | − | 0.0160666i | |||||
5.31373 | + | 16.3540i | 0.205441 | + | 0.632281i | |||||
−27.2492 | + | 0.882003i | −1.05273 | + | 0.0340747i | |||||
−43.9391 | + | 6.18763i | −1.69625 | + | 0.238871i | |||||
0.782528 | + | 1.07706i | 0.0301867 | + | 0.0415484i | |||||
−36.5783 | − | 11.8850i | −1.40999 | − | 0.458133i | −0.497582 | − | 0.867417i | ||
−0.912407 | + | 0.409284i | ||||||||
−3.90715 | + | 12.0250i | −0.150498 | + | 0.463184i | |||||
4.84525 | + | 1.23433i | 0.186494 | + | 0.0475096i | |||||
1.74878 | − | 1.27056i | 0.0672607 | − | 0.0488678i | |||||
7.19047 | − | 9.89683i | 0.276352 | − | 0.380366i | −0.648169 | − | 0.761496i | ||
0.924521 | + | 0.381130i | ||||||||
−5.36181 | + | 7.37989i | −0.205919 | + | 0.283423i | |||||
−3.04349 | − | 9.36691i | −0.116799 | − | 0.359469i | |||||
−1.99264 | + | 0.0644980i | −0.0764144 | + | 0.00247338i | |||||
10.9244 | + | 7.93701i | 0.418622 | + | 0.304147i | |||||
−12.2652 | − | 12.6939i | −0.469658 | − | 0.486075i | |||||
−5.82242 | + | 8.01388i | −0.222789 | + | 0.306642i | −0.905750 | − | 0.423812i | ||
0.682961 | + | 0.730454i | ||||||||
−0.392145 | + | 0.284910i | −0.0149940 | + | 0.0108938i | |||||
−15.4635 | − | 4.47679i | −0.590830 | − | 0.171049i | |||||
17.3881 | − | 12.6332i | 0.663882 | − | 0.482338i | |||||
−25.2269 | + | 8.19673i | −0.962468 | + | 0.312725i | |||||
42.3023 | − | 13.7449i | 1.61276 | − | 0.524018i | |||||
9.72316 | − | 7.06429i | 0.370423 | − | 0.269128i | |||||
2.71563 | + | 0.786193i | 0.103382 | + | 0.0299298i | |||||
15.3657 | − | 11.1638i | 0.584537 | − | 0.424691i | −0.255820 | − | 0.966724i | ||
0.840357 | + | 0.542033i | ||||||||
−1.20853 | + | 1.66340i | −0.0459415 | + | 0.0632330i | |||||
−0.526670 | − | 3.73995i | −0.0200066 | − | 0.142069i | |||||
13.3482 | + | 9.69803i | 0.506691 | + | 0.368132i | |||||
13.9155 | − | 0.450419i | 0.527846 | − | 0.0170854i | |||||
4.46339 | + | 13.7369i | 0.169184 | + | 0.520696i | |||||
0.761016 | − | 1.04745i | 0.0288255 | − | 0.0396750i | |||||
−28.9914 | + | 39.9033i | −1.09734 | + | 1.51036i | |||||
−9.56194 | + | 6.94716i | −0.361666 | + | 0.262766i | |||||
0.0763952 | + | 1.17887i | 0.00288747 | + | 0.0445570i | |||||
−8.29230 | + | 25.5211i | −0.313196 | + | 0.963918i | 0.663295 | + | 0.748358i | ||
−0.976491 | + | 0.215560i | ||||||||
−2.27033 | − | 0.737676i | −0.0856882 | − | 0.0278418i | |||||
4.84262 | + | 6.66530i | 0.182643 | + | 0.251386i | |||||
10.1931 | + | 20.8843i | 0.384167 | + | 0.787106i | |||||
30.2195 | − | 0.978145i | 1.13813 | − | 0.0368391i | |||||
8.13116 | + | 25.0252i | 0.306020 | + | 0.941834i | |||||
6.91176 | + | 2.24577i | 0.259943 | + | 0.0844607i | |||||
0.316420 | + | 0.102811i | 0.0118918 | + | 0.00386388i | |||||
−5.26535 | − | 16.2051i | −0.197744 | − | 0.608594i | −0.999934 | − | 0.0115245i | ||
0.802189 | − | 0.597070i | ||||||||
−30.3362 | + | 10.9539i | −1.13850 | + | 0.411094i | |||||
−2.59195 | + | 1.88316i | −0.0972057 | + | 0.0706241i | |||||
3.25037 | − | 4.47375i | 0.121813 | − | 0.167661i | |||||
−1.79170 | − | 2.46607i | −0.0670998 | − | 0.0923550i | |||||
−0.175034 | − | 0.538700i | −0.00655049 | − | 0.0201603i | |||||
8.55253 | + | 8.29674i | 0.319847 | + | 0.310280i | |||||
−1.39939 | + | 4.30689i | −0.0522978 | + | 0.160956i | |||||
−3.10030 | + | 1.00735i | −0.115783 | + | 0.0376201i | |||||
7.95832 | + | 2.58582i | 0.297002 | + | 0.0965018i | |||||
7.13894 | − | 21.9714i | 0.266238 | − | 0.819395i | −0.725168 | − | 0.688572i | ||
0.991406 | − | 0.130823i | ||||||||
−3.32011 | − | 9.19482i | −0.123733 | − | 0.342671i | |||||
2.08264 | − | 6.40970i | 0.0775614 | − | 0.238710i | |||||
11.8263 | − | 16.2775i | 0.440129 | − | 0.605786i | |||||
24.1229i | 0.897141i | |||||||||
−3.02268 | − | 2.19610i | −0.112337 | − | 0.0816175i | |||||
−6.69426 | + | 26.2776i | −0.248619 | + | 0.975926i | |||||
−0.561339 | + | 16.3337i | −0.0208332 | + | 0.606200i | |||||
11.2608 | − | 3.65885i | 0.417639 | − | 0.135699i | −0.0926568 | − | 0.995698i | ||
0.510296 | + | 0.859999i | ||||||||
4.87283i | 0.180599i | |||||||||
−0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | |||||
14.8000 | − | 51.1215i | 0.547773 | − | 1.89209i | |||||
−3.40601 | −0.125976 | |||||||||
−1.63158 | − | 2.24568i | −0.0603050 | − | 0.0830027i | |||||
−35.9672 | − | 11.6864i | −1.32848 | − | 0.431649i | −0.443080 | − | 0.896482i | ||
−0.885398 | + | 0.464833i | ||||||||
−2.22441 | − | 1.61613i | −0.0821046 | − | 0.0596525i | |||||
−11.9948 | + | 4.33114i | −0.442434 | + | 0.159756i | |||||
−0.307429 | − | 0.946168i | −0.0113320 | − | 0.0348762i | |||||
−3.79536 | − | 26.9513i | −0.139804 | − | 0.992764i | |||||
5.46475 | + | 1.77561i | 0.201160 | + | 0.0653609i | |||||
9.71365 | − | 29.8955i | 0.357322 | − | 1.09973i | −0.597328 | − | 0.801997i | ||
0.954651 | − | 0.297729i | ||||||||
1.53882 | − | 0.555645i | 0.0565682 | − | 0.0204259i | |||||
−3.75364 | −0.137893 | |||||||||
12.6560i | 0.464616i | |||||||||
29.6786 | + | 40.8491i | 1.08880 | + | 1.49861i | 0.849447 | + | 0.527675i | ||
0.239355 | + | 0.970932i | ||||||||
−2.94801 | + | 9.07303i | −0.108079 | + | 0.332633i | |||||
−26.4323 | + | 0.855562i | −0.968405 | + | 0.0313454i | |||||
−21.0837 | −0.771931 | |||||||||
−4.50141 | − | 6.19567i | −0.164698 | − | 0.226688i | |||||
0.0321245 | + | 0.228120i | 0.00117459 | + | 0.00834088i | |||||
14.0134 | 0.512039 | |||||||||
3.57787 | − | 16.2214i | 0.130645 | − | 0.592321i | |||||
8.65908 | − | 26.6499i | 0.315974 | − | 0.972469i | −0.659377 | − | 0.751812i | ||
0.975352 | − | 0.220657i | ||||||||
−34.7471 | − | 47.8253i | −1.26710 | − | 1.74401i | |||||
−13.8976 | − | 4.51562i | −0.506458 | − | 0.164558i | |||||
4.00069 | − | 12.3129i | 0.145697 | − | 0.448408i | |||||
3.20619 | − | 2.49181i | 0.116685 | − | 0.0906862i | |||||
0.191145 | − | 0.138875i | 0.00695187 | − | 0.00505083i | |||||
5.16566 | − | 7.10993i | 0.187749 | − | 0.258415i | −0.704758 | − | 0.709448i | ||
0.892507 | + | 0.451033i | ||||||||
9.94475 | − | 13.6878i | 0.361210 | − | 0.497162i | |||||
−0.489327 | + | 2.77961i | −0.0177614 | + | 0.100893i | |||||
−8.53761 | − | 10.9853i | −0.309691 | − | 0.398477i | |||||
13.2757 | − | 40.8585i | 0.481245 | − | 1.48112i | −0.356101 | − | 0.934448i | ||
0.837346 | − | 0.546673i | ||||||||
12.4409 | − | 17.1234i | 0.450684 | − | 0.620314i | |||||
7.58534i | 0.274608i | |||||||||
−1.62061 | − | 1.17744i | −0.0586316 | − | 0.0425983i | |||||
0.0242177 | + | 0.748199i | 0.000875593 | + | 0.0270512i | |||||
20.9612 | 0.757360 | |||||||||
1.51440 | + | 2.08439i | 0.0546817 | + | 0.0752629i | |||||
−2.89645 | + | 3.98662i | −0.104517 | + | 0.143855i | |||||
22.8608 | + | 16.6093i | 0.824381 | + | 0.598948i | 0.917964 | − | 0.396664i | ||
−0.0935829 | + | 0.995611i | ||||||||
−12.3620 | + | 2.15078i | −0.445494 | + | 0.0775088i | |||||
0.954421 | − | 0.693427i | 0.0343726 | − | 0.0249732i | |||||
− | 4.76577i | − | 0.171524i | |||||||
40.9479i | 1.47279i | 0.676551 | + | 0.736396i | ||||||
−0.676551 | + | 0.736396i | ||||||||
−4.67108 | − | 14.3761i | −0.167898 | − | 0.516738i | |||||
−13.7786 | + | 11.4424i | −0.494943 | + | 0.411024i | |||||
18.6349 | − | 13.5391i | 0.668954 | − | 0.486024i | |||||
−2.36046 | − | 3.24889i | −0.0846810 | − | 0.116553i | |||||
−21.0721 | + | 6.84675i | −0.755472 | + | 0.245468i | |||||
9.03511 | 0.323716 | |||||||||
−0.207287 | + | 0.716001i | −0.00742208 | + | 0.0256370i | |||||
−14.1229 | − | 28.9360i | −0.505358 | − | 1.03541i | |||||
0.423274i | 0.0151363i | |||||||||
5.15794 | − | 1.67592i | 0.184330 | − | 0.0598923i | |||||
20.1720 | + | 14.6558i | 0.720428 | + | 0.523422i | |||||
4.53012 | + | 5.82886i | 0.161687 | + | 0.208041i | |||||
10.5331 | + | 7.65274i | 0.375703 | + | 0.272964i | |||||
−6.49565 | + | 2.11056i | −0.231545 | + | 0.0752335i | −0.422491 | − | 0.906367i | ||
0.190946 | + | 0.981600i | ||||||||
− | 0.0762263i | − | 0.00271545i | |||||||
17.3212 | 0.616652 | |||||||||
6.53165 | + | 8.40422i | 0.232386 | + | 0.299009i | |||||
2.16053 | − | 6.64942i | 0.0768195 | − | 0.236426i | |||||
7.93799 | − | 3.87434i | 0.282064 | − | 0.137669i | |||||
− | 21.4958i | − | 0.763338i | |||||||
−4.03572 | − | 12.4207i | −0.143222 | − | 0.440793i | |||||
4.65137 | − | 16.0665i | 0.164967 | − | 0.569821i | |||||
−3.81319 | − | 2.77045i | −0.135155 | − | 0.0981959i | |||||
27.2448 | + | 8.85238i | 0.965061 | + | 0.313567i | 0.748821 | − | 0.662773i | ||
0.216241 | + | 0.976340i | ||||||||
2.32337 | − | 3.19784i | 0.0822463 | − | 0.113202i | |||||
1.39885 | + | 4.30522i | 0.0494877 | + | 0.152308i | |||||
−5.43090 | + | 2.16208i | −0.192011 | + | 0.0764409i | |||||
−1.67980 | − | 1.22045i | −0.0593529 | − | 0.0431224i | |||||
−25.1229 | + | 8.16292i | −0.887120 | + | 0.288243i | |||||
52.3259 | + | 9.21154i | 1.84654 | + | 0.325068i | |||||
1.37745 | − | 1.00078i | 0.0485790 | − | 0.0352947i | |||||
−2.16573 | + | 0.0701006i | −0.0763321 | + | 0.00247072i | |||||
6.91790 | − | 5.02615i | 0.243672 | − | 0.177038i | |||||
−19.4735 | + | 6.32733i | −0.685501 | + | 0.222733i | |||||
16.9966i | 0.597937i | |||||||||
8.37642 | + | 25.7800i | 0.294499 | + | 0.906375i | 0.983389 | + | 0.181509i | ||
−0.688890 | + | 0.724866i | ||||||||
−3.12479 | + | 1.12831i | −0.109794 | + | 0.0396449i | |||||
40.6518 | 1.42748 | 0.713739 | − | 0.700411i | ||||||
0.713739 | + | 0.700411i | ||||||||
0.753170 | + | 1.03665i | 0.0264311 | + | 0.0363793i | |||||
−8.61753 | − | 2.80001i | −0.302230 | − | 0.0982005i | |||||
7.62214 | + | 15.6167i | 0.267156 | + | 0.547366i | |||||
−0.0422721 | − | 1.30598i | −0.00148073 | − | 0.0457465i | |||||
1.18410 | − | 0.860298i | 0.0414518 | − | 0.0301165i | |||||
−13.9709 | − | 19.2292i | −0.488778 | − | 0.672745i | |||||
−15.1109 | + | 4.90984i | −0.528342 | + | 0.171669i | |||||
1.82965 | 0.0639332 | |||||||||
0.498946 | − | 1.72343i | 0.0174240 | − | 0.0601850i | |||||
−15.0989 | − | 10.9700i | −0.526955 | − | 0.382855i | 0.292263 | − | 0.956338i | ||
−0.819218 | + | 0.573483i | ||||||||
10.1731 | − | 3.30545i | 0.354829 | − | 0.115291i | |||||
−8.86937 | − | 2.88183i | −0.309167 | − | 0.100454i | 0.150324 | − | 0.988637i | ||
−0.459491 | + | 0.888182i | ||||||||
15.7620 | 0.549094 | |||||||||
16.4837 | + | 1.81293i | 0.573890 | + | 0.0631182i | |||||
−2.71311 | −0.0944013 | |||||||||
27.1453 | + | 8.82004i | 0.943934 | + | 0.306703i | 0.740249 | − | 0.672333i | ||
0.203686 | + | 0.979036i | ||||||||
−0.167916 | + | 0.0545592i | −0.00583548 | + | 0.00189606i | |||||
19.3361 | + | 14.0485i | 0.671570 | + | 0.487924i | 0.870551 | − | 0.492079i | ||
−0.198980 | + | 0.980004i | ||||||||
−20.0890 | + | 15.6129i | −0.697300 | + | 0.541933i | |||||
−18.5780 | −0.644464 | |||||||||
−10.7069 | + | 3.47888i | −0.371194 | + | 0.120608i | |||||
−1.12227 | − | 1.54467i | −0.0388844 | − | 0.0535198i | |||||
−7.48425 | + | 5.43762i | −0.259158 | + | 0.188290i | |||||
−13.9112 | − | 4.02739i | −0.481417 | − | 0.139374i | |||||
−1.15612 | + | 1.11707i | −0.0399853 | + | 0.0386347i | |||||
3.40675 | + | 1.10692i | 0.117754 | + | 0.0382607i | |||||
−8.35019 | − | 11.4931i | −0.288453 | − | 0.397021i | |||||
−24.9313 | −0.860722 | −0.430361 | − | 0.902657i | ||||||
−0.430361 | + | 0.902657i | ||||||||
4.16152 | + | 5.35459i | 0.143586 | + | 0.184751i | |||||
0.127628 | + | 0.392800i | 0.00440098 | + | 0.0135448i | |||||
− | 36.9797i | − | 1.27440i | |||||||
−24.3220 | + | 7.90271i | −0.837696 | + | 0.272184i | |||||
0.397596 | − | 0.288870i | 0.0136858 | − | 0.00994333i | |||||
18.3944 | − | 14.2959i | 0.632787 | − | 0.491794i | |||||
−16.2531 | + | 11.8085i | −0.558792 | + | 0.405986i | |||||
−3.45940 | − | 12.0392i | −0.118866 | − | 0.413673i | |||||
−31.1023 | + | 10.1057i | −1.06806 | + | 0.347033i | |||||
−9.75812 | − | 7.08969i | −0.334898 | − | 0.243318i | |||||
2.48180 | − | 0.160831i | 0.0851252 | − | 0.00551645i | |||||
0.927344 | + | 2.85407i | 0.0317890 | + | 0.0978363i | |||||
1.18394 | − | 1.62956i | 0.0405612 | − | 0.0558277i | |||||
−3.66268 | − | 1.19008i | −0.125408 | − | 0.0407475i | 0.245641 | − | 0.969361i | ||
−0.371049 | + | 0.928613i | ||||||||
18.3129 | + | 13.3051i | 0.626655 | + | 0.455292i | |||||
−4.12475 | + | 3.20570i | −0.141063 | + | 0.109633i | |||||
10.1276 | + | 31.1695i | 0.346154 | + | 1.06535i | |||||
− | 46.7797i | − | 1.59797i | −0.601354 | − | 0.798983i | ||||
0.601354 | − | 0.798983i | ||||||||
−7.79744 | − | 1.37268i | −0.266200 | − | 0.0468624i | |||||
17.2747 | − | 53.1662i | 0.589407 | − | 1.81401i | 0.00860323 | − | 0.999963i | ||
0.580803 | − | 0.814044i | ||||||||
−4.43946 | + | 1.60302i | −0.151384 | + | 0.0546627i | |||||
−4.40402 | −0.150089 | |||||||||
6.06930i | 0.206721i | |||||||||
30.5781 | − | 9.93542i | 1.04089 | − | 0.338206i | 0.261803 | − | 0.965121i | ||
0.779087 | + | 0.626916i | ||||||||
0.945813 | + | 0.687173i | 0.0321772 | + | 0.0233781i | |||||
−12.4380 | + | 18.3391i | −0.422906 | + | 0.623548i | |||||
34.0380 | + | 24.7301i | 1.15666 | + | 0.840362i | |||||
16.0614 | − | 5.21866i | 0.545473 | − | 0.177235i | |||||
0.846327i | 0.0287262i | |||||||||
−7.64158 | + | 7.38348i | −0.259223 | + | 0.250467i | |||||
−6.11928 | − | 16.9469i | −0.207463 | − | 0.574554i | |||||
13.1851 | 0.446759 | |||||||||
−16.8718 | + | 5.48197i | −0.571350 | + | 0.185643i | |||||
−5.08365 | − | 6.99704i | −0.172055 | − | 0.236814i | |||||
−2.38967 | + | 1.73620i | −0.0808317 | + | 0.0587277i | |||||
1.23393 | + | 12.6718i | 0.0417146 | + | 0.428386i | |||||
1.02707 | + | 3.16101i | 0.0347016 | + | 0.106800i | |||||
− | 25.3900i | − | 0.857359i | −0.903457 | − | 0.428680i | ||||
0.903457 | − | 0.428680i | ||||||||
− | 36.9041i | − | 1.24545i | |||||||
−10.0616 | + | 7.31017i | −0.339369 | + | 0.246566i | |||||
−15.1565 | − | 28.6623i | −0.510927 | − | 0.966205i | |||||
9.78071 | + | 7.10610i | 0.329521 | + | 0.239411i | 0.740227 | − | 0.672357i | ||
−0.410707 | + | 0.911768i | ||||||||
4.98066 | − | 6.85529i | 0.167708 | − | 0.230830i | |||||
30.6203 | + | 42.1452i | 1.03046 | + | 1.41830i | 0.904605 | + | 0.426251i | ||
0.125851 | + | 0.992049i | ||||||||
−0.111600 | −0.00375353 | |||||||||
3.44424 | + | 0.997132i | 0.115777 | + | 0.0335182i | |||||
23.7742 | + | 17.2730i | 0.798711 | + | 0.580297i | |||||
− | 22.1114i | − | 0.742428i | −0.928547 | − | 0.371214i | ||||
0.928547 | − | 0.371214i | ||||||||
5.52047 | − | 7.59827i | 0.185255 | − | 0.254981i | |||||
−5.01301 | + | 15.4285i | −0.168131 | + | 0.517454i | |||||
−3.87198 | + | 5.70899i | −0.129789 | + | 0.191366i | |||||
−1.45474 | − | 2.98056i | −0.0487355 | − | 0.0998525i | |||||
−2.09704 | + | 2.88633i | −0.0702142 | + | 0.0966415i | |||||
−18.5680 | + | 25.5567i | −0.621355 | + | 0.855222i | |||||
14.2162 | − | 10.3287i | 0.475461 | − | 0.345442i | |||||
−13.5723 | + | 46.8807i | −0.453671 | + | 1.56705i | |||||
4.48621 | − | 13.8071i | 0.149874 | − | 0.461264i | |||||
−1.30034 | − | 0.422505i | −0.0434169 | − | 0.0141070i | |||||
−11.2983 | − | 15.5508i | −0.377030 | − | 0.518937i | |||||
−6.00324 | + | 18.4761i | −0.200219 | + | 0.616211i | |||||
0.383702 | + | 0.963819i | 0.0127901 | + | 0.0321273i | |||||
2.50423 | 0.0834280 | |||||||||
18.7686 | + | 3.30407i | 0.624928 | + | 0.110013i | |||||
6.80987 | + | 9.37298i | 0.226618 | + | 0.311913i | |||||
16.3515 | 0.543842 | |||||||||
−33.3252 | − | 22.6020i | −1.10777 | − | 0.751315i | |||||
−0.833757 | + | 2.56604i | −0.0276997 | + | 0.0852509i | |||||
17.6290 | + | 24.2643i | 0.585362 | + | 0.805681i | 0.994270 | − | 0.106894i | ||
−0.408909 | + | 0.912575i | ||||||||
2.80162i | 0.0929751i | |||||||||
6.38188 | 0.211674 | |||||||||
−0.196648 | − | 6.07539i | −0.00651883 | − | 0.201397i | |||||
−13.9466 | + | 42.9234i | −0.462073 | + | 1.42211i | 0.400554 | + | 0.916273i | ||
−0.862627 | + | 0.505841i | ||||||||
9.71393 | + | 3.15625i | 0.321660 | + | 0.104514i | |||||
−17.6491 | − | 18.2661i | −0.584100 | − | 0.604518i | |||||
17.4903 | + | 53.8297i | 0.578529 | + | 1.78053i | |||||
−18.3580 | − | 23.6210i | −0.606895 | − | 0.780887i | |||||
−4.45233 | − | 3.23481i | −0.147109 | − | 0.106881i | |||||
−9.49052 | − | 3.08366i | −0.313405 | − | 0.101831i | |||||
−0.292365 | − | 0.402407i | −0.00964950 | − | 0.0132814i | |||||
19.0384 | 0.628019 | 0.314009 | − | 0.949420i | ||||||
0.314009 | + | 0.949420i | ||||||||
−1.72111 | − | 4.76650i | −0.0567434 | − | 0.157147i | |||||
−4.55099 | − | 14.0065i | −0.149960 | − | 0.461530i | |||||
15.5147i | 0.510948i | |||||||||
14.8348 | − | 4.82012i | 0.488293 | − | 0.158656i | |||||
0.563533 | − | 0.544499i | 0.0185389 | − | 0.0179127i | |||||
16.3821 | − | 6.52180i | 0.538639 | − | 0.214435i | |||||
16.5207 | + | 12.0030i | 0.542905 | + | 0.394444i | |||||
− | 5.91831i | − | 0.194383i | |||||||
−3.72680 | + | 5.12950i | −0.122338 | + | 0.168384i | |||||
4.79898 | − | 14.7697i | 0.157449 | − | 0.484579i | −0.840951 | − | 0.541111i | ||
0.998401 | + | 0.0565312i | ||||||||
3.30939 | − | 11.4311i | 0.108519 | − | 0.374841i | |||||
4.11737 | − | 12.6720i | 0.134941 | − | 0.415307i | |||||
−2.33220 | − | 0.757779i | −0.0763938 | − | 0.0248219i | |||||
13.9724 | − | 4.53990i | 0.457436 | − | 0.148630i | |||||
9.00526 | − | 27.7153i | 0.294661 | − | 0.906873i | |||||
0.425573 | + | 2.44605i | 0.0139177 | + | 0.0799943i | |||||
1.32230 | + | 4.06962i | 0.0432207 | + | 0.133020i | |||||
−5.34348 | − | 7.35467i | −0.174564 | − | 0.240267i | 0.712766 | − | 0.701402i | ||
−0.887330 | + | 0.461135i | ||||||||
−8.16109 | + | 11.2328i | −0.266469 | + | 0.366763i | |||||
15.6018 | − | 11.3353i | 0.509144 | − | 0.369915i | |||||
3.84952 | + | 4.95314i | 0.125558 | + | 0.161554i | |||||
−0.860081 | − | 2.64706i | −0.0280378 | − | 0.0862916i | 0.936058 | − | 0.351845i | ||
−0.964096 | + | 0.265553i | ||||||||
−4.66507 | − | 1.51577i | −0.151996 | − | 0.0493866i | |||||
3.12994 | + | 1.01698i | 0.101925 | + | 0.0331174i | |||||
−2.16641 | − | 6.66751i | −0.0705105 | − | 0.217009i | |||||
2.01054 | − | 1.56257i | 0.0654030 | − | 0.0508304i | |||||
−21.9897 | − | 45.0539i | −0.714947 | − | 1.46483i | |||||
16.7615 | + | 23.0702i | 0.544674 | + | 0.749679i | 0.989278 | − | 0.146048i | ||
−0.444603 | + | 0.895727i | ||||||||
−0.632189 | − | 0.205411i | −0.0205325 | − | 0.00667142i | |||||
−7.95362 | + | 24.4787i | −0.258185 | + | 0.794613i | |||||
11.0879 | + | 13.3518i | 0.359740 | + | 0.433188i | |||||
22.7104 | − | 16.5001i | 0.736437 | − | 0.535053i | |||||
−0.596793 | + | 0.821416i | −0.0193422 | + | 0.0266222i | |||||
−8.53054 | + | 11.7413i | −0.276331 | + | 0.380338i | −0.924514 | − | 0.381147i | ||
0.648183 | + | 0.761485i | ||||||||
3.43436 | + | 10.5699i | 0.111191 | + | 0.342212i | |||||
−17.8673 | − | 12.1181i | −0.578173 | − | 0.392131i | |||||
−0.547176 | − | 0.397546i | −0.0176969 | − | 0.0128576i | |||||
16.1647 | − | 7.88959i | 0.522531 | − | 0.255034i | |||||
−23.4895 | + | 32.3305i | −0.758911 | + | 1.04455i | |||||
−6.63272 | + | 4.81895i | −0.214182 | + | 0.155612i | |||||
−8.79439 | + | 12.9668i | −0.283838 | + | 0.418501i | |||||
14.6989 | − | 10.6794i | 0.474157 | − | 0.344496i | |||||
−8.00633 | + | 2.60142i | −0.258135 | + | 0.0838730i | |||||
11.7035 | − | 3.80271i | 0.377141 | − | 0.122541i | |||||
−4.04910 | + | 2.94185i | −0.130413 | + | 0.0947505i | |||||
−1.66163 | − | 51.3357i | −0.0534899 | − | 1.65255i | |||||
1.16481 | − | 0.846281i | 0.0374770 | − | 0.0272286i | |||||
18.8965 | − | 26.0088i | 0.607670 | − | 0.836386i | −0.388714 | − | 0.921359i | ||
0.996383 | + | 0.0849731i | ||||||||
24.2783 | − | 16.3954i | 0.780333 | − | 0.526969i | |||||
−0.632753 | − | 0.459722i | −0.0203270 | − | 0.0147684i | |||||
−22.6874 | + | 17.6324i | −0.728449 | + | 0.566142i | |||||
−16.7009 | − | 51.4001i | −0.535958 | − | 1.64951i | −0.741570 | − | 0.670876i | ||
0.205612 | − | 0.978634i | ||||||||
0.121952 | − | 0.167853i | 0.00391162 | − | 0.00538389i | |||||
4.16768 | − | 5.73632i | 0.133610 | − | 0.183898i | |||||
21.7233 | − | 15.7829i | 0.696059 | − | 0.505716i | |||||
−1.98321 | + | 7.78486i | −0.0635134 | + | 0.249315i | |||||
−18.0747 | + | 55.6283i | −0.578558 | + | 1.78062i | |||||
54.9031 | + | 17.8391i | 1.75651 | + | 0.570723i | 0.996829 | − | 0.0795765i | ||
0.759677 | + | 0.650300i | ||||||||
0.510324 | + | 0.702401i | 0.0163184 | + | 0.0224603i | |||||
−6.08129 | − | 3.23132i | −0.194359 | − | 0.103274i | |||||
−2.18979 | − | 1.48517i | −0.0699501 | − | 0.0474419i | |||||
2.05837 | + | 6.33502i | 0.0657188 | + | 0.202262i | |||||
−34.5787 | − | 11.2353i | −1.10345 | − | 0.358533i | |||||
−6.65373 | − | 2.16193i | −0.212221 | − | 0.0689548i | 0.200977 | − | 0.979596i | ||
−0.413198 | + | 0.910641i | ||||||||
−3.18281 | − | 9.79569i | −0.101464 | − | 0.312275i | |||||
−0.0265771 | − | 0.821091i | −0.000846817 | − | 0.0261621i | |||||
2.18240 | − | 1.58561i | 0.0695019 | − | 0.0504961i | |||||
9.05068 | − | 12.4572i | 0.288086 | − | 0.396517i | |||||
−0.457765 | − | 0.630059i | −0.0145634 | − | 0.0200449i | |||||
−2.67537 | − | 8.23393i | −0.0850717 | − | 0.261824i | |||||
−9.74065 | + | 5.15083i | −0.309578 | + | 0.163704i | |||||
−7.38517 | + | 22.7292i | −0.234598 | + | 0.722018i | 0.762577 | + | 0.646898i | ||
−0.997175 | + | 0.0751198i | ||||||||
−3.98279 | + | 1.29409i | −0.126454 | + | 0.0410873i | |||||
9.54241 | + | 3.10052i | 0.302819 | + | 0.0983920i | |||||
−5.07579 | + | 15.6217i | −0.160994 | + | 0.495490i | |||||
−42.0407 | − | 28.5131i | −1.33278 | − | 0.903925i | |||||
0.491003 | − | 1.51115i | 0.0155580 | − | 0.0478827i | |||||
−5.40154 | + | 7.43458i | −0.171068 | + | 0.235455i | −0.885940 | − | 0.463801i | ||
0.714871 | + | 0.699256i | ||||||||
46.9866i | 1.48733i | |||||||||
−2.85300 | − | 2.07283i | −0.0902650 | − | 0.0655813i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 825.2.cb.a.169.16 | yes | 240 | |
11.3 | even | 5 | 825.2.by.a.619.16 | yes | 240 | ||
25.4 | even | 10 | 825.2.by.a.4.16 | ✓ | 240 | ||
275.179 | even | 10 | inner | 825.2.cb.a.454.16 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
825.2.by.a.4.16 | ✓ | 240 | 25.4 | even | 10 | ||
825.2.by.a.619.16 | yes | 240 | 11.3 | even | 5 | ||
825.2.cb.a.169.16 | yes | 240 | 1.1 | even | 1 | trivial | |
825.2.cb.a.454.16 | yes | 240 | 275.179 | even | 10 | inner |