Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(82,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 297.f (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 190.3 | ||
Root | of defining polynomial | ||
Character | 297.190 | ||
Dual form | 297.2.f.c.136.3 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.863017 | − | 0.627019i | 0.610245 | − | 0.443369i | −0.239255 | − | 0.970957i | ||
0.849501 | + | 0.527587i | ||||||||
0 | 0 | |||||||||
−0.266388 | + | 0.819857i | −0.133194 | + | 0.409928i | |||||
0.993168 | + | 0.721579i | 0.444158 | + | 0.322700i | 0.787285 | − | 0.616589i | ||
−0.343127 | + | 0.939289i | ||||||||
0 | 0 | |||||||||
−0.473654 | + | 1.45776i | −0.179024 | + | 0.550980i | −0.999794 | − | 0.0202787i | ||
0.820770 | + | 0.571259i | ||||||||
0.943455 | + | 2.90366i | 0.333562 | + | 1.02660i | |||||
0 | 0 | |||||||||
1.30957 | 0.414121 | |||||||||
3.00337 | − | 1.40704i | 0.905551 | − | 0.424238i | |||||
0 | 0 | |||||||||
−1.89482 | + | 1.37667i | −0.525530 | + | 0.381820i | −0.818683 | − | 0.574246i | ||
0.293153 | + | 0.956065i | ||||||||
0.505269 | + | 1.55506i | 0.135039 | + | 0.415607i | |||||
0 | 0 | |||||||||
1.24004 | + | 0.900943i | 0.310010 | + | 0.225236i | |||||
2.87322 | + | 2.08752i | 0.696858 | + | 0.506297i | 0.878908 | − | 0.476992i | ||
−0.182049 | + | 0.983289i | ||||||||
0 | 0 | |||||||||
−0.884422 | − | 2.72197i | −0.202900 | − | 0.624463i | −0.999793 | − | 0.0203420i | ||
0.796893 | − | 0.604121i | ||||||||
−0.856159 | + | 0.622036i | −0.191443 | + | 0.139092i | |||||
0 | 0 | |||||||||
1.70972 | − | 3.09747i | 0.364514 | − | 0.660383i | |||||
2.29437 | 0.478410 | 0.239205 | − | 0.970969i | ||||||
0.239205 | + | 0.970969i | ||||||||
0 | 0 | |||||||||
−1.07938 | − | 3.32198i | −0.215876 | − | 0.664397i | |||||
−0.772068 | + | 2.37618i | −0.151415 | + | 0.466007i | |||||
0 | 0 | |||||||||
−1.06898 | − | 0.776656i | −0.202017 | − | 0.146774i | |||||
2.56257 | − | 7.88677i | 0.475857 | − | 1.46454i | −0.368943 | − | 0.929452i | ||
0.844799 | − | 0.535084i | ||||||||
0 | 0 | |||||||||
−3.91111 | + | 2.84159i | −0.702456 | + | 0.510364i | −0.880731 | − | 0.473617i | ||
0.178276 | + | 0.983981i | ||||||||
−4.47108 | −0.790384 | |||||||||
0 | 0 | |||||||||
3.78855 | 0.649731 | |||||||||
−1.52230 | + | 1.10602i | −0.257316 | + | 0.186951i | |||||
0 | 0 | |||||||||
1.24401 | − | 3.82868i | 0.204515 | − | 0.629432i | −0.795218 | − | 0.606323i | ||
0.999733 | − | 0.0231083i | ||||||||
−2.47000 | − | 1.79456i | −0.400687 | − | 0.291116i | |||||
0 | 0 | |||||||||
−1.15821 | + | 3.56460i | −0.183129 | + | 0.563612i | |||||
1.49582 | + | 4.60365i | 0.233608 | + | 0.718970i | 0.997303 | + | 0.0733934i | ||
−0.763696 | + | 0.645577i | ||||||||
0 | 0 | |||||||||
−7.52483 | −1.14753 | −0.573763 | − | 0.819022i | ||||||
−0.573763 | + | 0.819022i | ||||||||
0.353510 | + | 2.83715i | 0.0532936 | + | 0.427717i | |||||
0 | 0 | |||||||||
1.98008 | − | 1.43861i | 0.291947 | − | 0.212112i | |||||
−2.82775 | − | 8.70291i | −0.412469 | − | 1.26945i | −0.914495 | − | 0.404597i | ||
0.502026 | − | 0.864853i | ||||||||
0 | 0 | |||||||||
3.76241 | + | 2.73355i | 0.537488 | + | 0.390508i | |||||
−3.01447 | − | 2.19014i | −0.426310 | − | 0.309732i | |||||
0 | 0 | |||||||||
−0.623915 | − | 1.92021i | −0.0865214 | − | 0.266286i | |||||
−5.00934 | + | 3.63950i | −0.688085 | + | 0.499923i | −0.876030 | − | 0.482256i | ||
0.187945 | + | 0.982180i | ||||||||
0 | 0 | |||||||||
3.99814 | + | 0.769743i | 0.539110 | + | 0.103792i | |||||
−4.67969 | −0.625350 | |||||||||
0 | 0 | |||||||||
−2.73361 | − | 8.41319i | −0.358941 | − | 1.10471i | |||||
3.36374 | − | 10.3525i | 0.437922 | − | 1.34778i | −0.452141 | − | 0.891946i | ||
0.890063 | − | 0.455838i | ||||||||
0 | 0 | |||||||||
0.496027 | + | 0.360385i | 0.0635097 | + | 0.0461425i | 0.619087 | − | 0.785322i | ||
−0.555577 | + | 0.831465i | ||||||||
−1.59363 | + | 4.90467i | −0.202391 | + | 0.622894i | |||||
0 | 0 | |||||||||
−6.33871 | + | 4.60534i | −0.792338 | + | 0.575667i | |||||
−2.87526 | −0.356632 | |||||||||
0 | 0 | |||||||||
8.65964 | 1.05794 | 0.528972 | − | 0.848639i | ||||||
0.528972 | + | 0.848639i | ||||||||
−2.47686 | + | 1.79954i | −0.300363 | + | 0.218226i | |||||
0 | 0 | |||||||||
−0.620280 | + | 1.90903i | −0.0741377 | + | 0.228172i | |||||
−12.6352 | − | 9.18000i | −1.49952 | − | 1.08947i | −0.970572 | − | 0.240813i | ||
−0.528950 | − | 0.848653i | ||||||||
0 | 0 | |||||||||
−4.68358 | + | 14.4146i | −0.548172 | + | 1.68710i | 0.165154 | + | 0.986268i | ||
−0.713326 | + | 0.700832i | ||||||||
−1.32705 | − | 4.08424i | −0.154266 | − | 0.474783i | |||||
0 | 0 | |||||||||
2.46722 | 0.283010 | |||||||||
0.628562 | + | 5.04463i | 0.0716313 | + | 0.574889i | |||||
0 | 0 | |||||||||
1.57143 | − | 1.14171i | 0.176800 | − | 0.128453i | −0.495866 | − | 0.868399i | ||
0.672666 | + | 0.739947i | ||||||||
0.581468 | + | 1.78958i | 0.0650101 | + | 0.200081i | |||||
0 | 0 | |||||||||
4.17749 | + | 3.03513i | 0.461327 | + | 0.335174i | |||||
4.31509 | + | 3.13509i | 0.473642 | + | 0.344121i | 0.798859 | − | 0.601518i | ||
−0.325217 | + | 0.945639i | ||||||||
0 | 0 | |||||||||
1.34728 | + | 4.14651i | 0.146133 | + | 0.449752i | |||||
−6.49406 | + | 4.71821i | −0.700272 | + | 0.508778i | |||||
0 | 0 | |||||||||
6.91910 | + | 7.39328i | 0.737579 | + | 0.788126i | |||||
5.84063 | 0.619105 | 0.309553 | − | 0.950882i | ||||||
0.309553 | + | 0.950882i | ||||||||
0 | 0 | |||||||||
−1.10936 | − | 3.41426i | −0.116292 | − | 0.357911i | |||||
−0.611192 | + | 1.88106i | −0.0637212 | + | 0.196114i | |||||
0 | 0 | |||||||||
−7.89728 | − | 5.73771i | −0.814542 | − | 0.591800i | |||||
1.08574 | − | 3.34155i | 0.111394 | − | 0.342836i | |||||
0 | 0 | |||||||||
6.88134 | − | 4.99958i | 0.698694 | − | 0.507631i | −0.180813 | − | 0.983518i | ||
0.879507 | + | 0.475887i | ||||||||
4.96102 | 0.501139 | |||||||||
0 | 0 | |||||||||
3.01108 | 0.301108 | |||||||||
0.606954 | − | 0.440978i | 0.0603942 | − | 0.0438789i | −0.557179 | − | 0.830393i | ||
0.617573 | + | 0.786514i | ||||||||
0 | 0 | |||||||||
3.33934 | − | 10.2774i | 0.329035 | − | 1.01266i | −0.640552 | − | 0.767915i | ||
0.969586 | − | 0.244749i | ||||||||
−5.78506 | − | 4.20309i | −0.567272 | − | 0.412147i | |||||
0 | 0 | |||||||||
−2.04111 | + | 6.28190i | −0.198250 | + | 0.610152i | |||||
−1.23326 | − | 3.79558i | −0.119224 | − | 0.366932i | 0.873581 | − | 0.486679i | ||
−0.992804 | + | 0.119747i | ||||||||
0 | 0 | |||||||||
−13.1110 | −1.25580 | −0.627902 | − | 0.778293i | ||||||
−0.627902 | + | 0.778293i | ||||||||
3.93311 | − | 1.84261i | 0.375007 | − | 0.175686i | |||||
0 | 0 | |||||||||
−1.90070 | + | 1.38094i | −0.179600 | + | 0.130487i | |||||
0.705985 | + | 2.17280i | 0.0664135 | + | 0.204400i | 0.978756 | − | 0.205028i | ||
−0.912343 | + | 0.409428i | ||||||||
0 | 0 | |||||||||
2.27870 | + | 1.65557i | 0.212490 | + | 0.154383i | |||||
5.78338 | + | 4.20187i | 0.536974 | + | 0.390134i | |||||
0 | 0 | |||||||||
−3.58826 | − | 11.0435i | −0.330326 | − | 1.01664i | |||||
−4.40400 | + | 3.19969i | −0.403714 | + | 0.293315i | |||||
0 | 0 | |||||||||
7.04048 | − | 8.45172i | 0.640044 | − | 0.768338i | |||||
0.654048 | 0.0592147 | |||||||||
0 | 0 | |||||||||
−1.28782 | − | 3.96351i | −0.115650 | − | 0.355934i | |||||
3.22185 | − | 9.91584i | 0.288171 | − | 0.886900i | |||||
0 | 0 | |||||||||
−1.28021 | − | 0.930131i | −0.113601 | − | 0.0825357i | 0.529534 | − | 0.848288i | ||
−0.643135 | + | 0.765753i | ||||||||
0.180503 | − | 0.555533i | 0.0159544 | − | 0.0491026i | |||||
0 | 0 | |||||||||
−2.48140 | + | 1.80284i | −0.217633 | + | 0.158119i | |||||
5.64250 | 0.492987 | 0.246494 | − | 0.969144i | ||||||
0.246494 | + | 0.969144i | ||||||||
0 | 0 | |||||||||
4.38688 | 0.380391 | |||||||||
7.47342 | − | 5.42976i | 0.645605 | − | 0.469060i | |||||
0 | 0 | |||||||||
−3.35068 | + | 10.3123i | −0.287318 | + | 0.884274i | |||||
17.5144 | + | 12.7249i | 1.49635 | + | 1.08716i | 0.971805 | + | 0.235784i | ||
0.524549 | + | 0.851380i | ||||||||
0 | 0 | |||||||||
−6.50795 | + | 20.0294i | −0.551997 | + | 1.69887i | 0.151748 | + | 0.988419i | ||
−0.703745 | + | 0.710452i | ||||||||
−0.501254 | − | 1.54270i | −0.0423637 | − | 0.130382i | |||||
0 | 0 | |||||||||
−16.6604 | −1.39811 | |||||||||
−3.75383 | + | 6.80074i | −0.313911 | + | 0.568707i | |||||
0 | 0 | |||||||||
8.23599 | − | 5.98379i | 0.683961 | − | 0.496927i | |||||
4.99620 | + | 15.3767i | 0.413489 | + | 1.27259i | |||||
0 | 0 | |||||||||
2.80758 | + | 2.03983i | 0.230782 | + | 0.167673i | |||||
11.3235 | + | 8.22699i | 0.927655 | + | 0.673981i | 0.945418 | − | 0.325861i | ||
−0.0177624 | + | 0.999842i | ||||||||
0 | 0 | |||||||||
−6.47911 | − | 19.9407i | −0.527263 | − | 1.62275i | −0.759798 | − | 0.650160i | ||
0.232535 | − | 0.972588i | ||||||||
7.06925 | − | 5.13611i | 0.573392 | − | 0.416594i | |||||
0 | 0 | |||||||||
3.70554 | + | 3.95948i | 0.298601 | + | 0.319064i | |||||
−5.93482 | −0.476696 | |||||||||
0 | 0 | |||||||||
−5.41090 | − | 16.6530i | −0.431837 | − | 1.32906i | −0.896294 | − | 0.443461i | ||
0.464457 | − | 0.885596i | ||||||||
0.640298 | − | 1.97063i | 0.0509394 | − | 0.156775i | |||||
0 | 0 | |||||||||
−4.44054 | − | 3.22624i | −0.351055 | − | 0.255057i | |||||
−1.08674 | + | 3.34463i | −0.0856469 | + | 0.263594i | |||||
0 | 0 | |||||||||
−0.154783 | + | 0.112456i | −0.0121235 | + | 0.00880824i | −0.593831 | − | 0.804590i | ||
0.581707 | + | 0.813398i | ||||||||
−4.17280 | −0.325841 | |||||||||
0 | 0 | |||||||||
5.68976 | 0.441611 | |||||||||
−0.775722 | + | 0.563595i | −0.0600271 | + | 0.0436123i | −0.617394 | − | 0.786654i | ||
0.557367 | + | 0.830266i | ||||||||
0 | 0 | |||||||||
−2.32208 | + | 7.14664i | −0.178622 | + | 0.549742i | |||||
3.76267 | + | 2.73374i | 0.288584 | + | 0.209668i | |||||
0 | 0 | |||||||||
2.00452 | − | 6.16928i | 0.152843 | − | 0.470403i | |||||
6.68664 | + | 20.5794i | 0.508376 | + | 1.56462i | 0.795021 | + | 0.606582i | ||
−0.286645 | + | 0.958037i | ||||||||
0 | 0 | |||||||||
5.35389 | 0.404716 | |||||||||
4.99197 | + | 0.961079i | 0.376284 | + | 0.0724440i | |||||
0 | 0 | |||||||||
5.04056 | − | 3.66218i | 0.377806 | − | 0.274492i | |||||
−6.33539 | − | 19.4983i | −0.473529 | − | 1.45737i | −0.847931 | − | 0.530106i | ||
0.374402 | − | 0.927266i | ||||||||
0 | 0 | |||||||||
8.43682 | + | 6.12971i | 0.627104 | + | 0.455618i | 0.855396 | − | 0.517975i | ||
−0.228292 | + | 0.973593i | ||||||||
−3.09820 | − | 2.25097i | −0.229654 | − | 0.166853i | |||||
0 | 0 | |||||||||
2.16464 | + | 6.66207i | 0.159579 | + | 0.491134i | |||||
3.99821 | − | 2.90487i | 0.293954 | − | 0.213570i | |||||
0 | 0 | |||||||||
11.5666 | + | 2.22685i | 0.845831 | + | 0.162844i | |||||
7.88841 | 0.575322 | |||||||||
0 | 0 | |||||||||
−1.15821 | − | 3.56460i | −0.0840252 | − | 0.258603i | |||||
−6.37924 | + | 19.6333i | −0.461586 | + | 1.42061i | 0.401640 | + | 0.915797i | ||
−0.863226 | + | 0.504817i | ||||||||
0 | 0 | |||||||||
4.84767 | + | 3.52204i | 0.348943 | + | 0.253522i | 0.748426 | − | 0.663219i | ||
−0.399482 | + | 0.916741i | ||||||||
2.80388 | − | 8.62945i | 0.201307 | − | 0.619559i | |||||
0 | 0 | |||||||||
−3.24338 | + | 2.35646i | −0.231670 | + | 0.168318i | |||||
1.41800 | 0.101028 | 0.0505141 | − | 0.998723i | ||||||
0.0505141 | + | 0.998723i | ||||||||
0 | 0 | |||||||||
6.07350 | 0.430539 | 0.215269 | − | 0.976555i | ||||||
0.215269 | + | 0.976555i | ||||||||
8.62755 | − | 6.26828i | 0.610060 | − | 0.443235i | |||||
0 | 0 | |||||||||
0.247310 | − | 0.761143i | 0.0174007 | − | 0.0535538i | |||||
10.2832 | + | 7.47119i | 0.721740 | + | 0.524375i | |||||
0 | 0 | |||||||||
−1.83630 | + | 5.65155i | −0.128253 | + | 0.394722i | |||||
−3.56223 | − | 10.9634i | −0.248192 | − | 0.763858i | |||||
0 | 0 | |||||||||
−3.58996 | −0.248919 | |||||||||
−6.48617 | − | 6.93067i | −0.448657 | − | 0.479405i | |||||
0 | 0 | |||||||||
−12.8992 | + | 9.37181i | −0.888017 | + | 0.645182i | −0.935360 | − | 0.353697i | ||
0.0473435 | + | 0.998879i | ||||||||
−1.64944 | − | 5.07646i | −0.113284 | − | 0.348652i | |||||
0 | 0 | |||||||||
−3.44422 | − | 2.50237i | −0.235442 | − | 0.171059i | |||||
−7.47342 | − | 5.42976i | −0.509683 | − | 0.370306i | |||||
0 | 0 | |||||||||
−2.28983 | − | 7.04737i | −0.155444 | − | 0.478406i | |||||
−11.3150 | + | 8.22083i | −0.766348 | + | 0.556785i | |||||
0 | 0 | |||||||||
−1.69614 | + | 3.07286i | −0.114353 | + | 0.207172i | |||||
−8.31807 | −0.559534 | |||||||||
0 | 0 | |||||||||
8.12958 | + | 25.0203i | 0.544397 | + | 1.67548i | 0.722419 | + | 0.691456i | ||
−0.178022 | + | 0.984027i | ||||||||
2.11775 | − | 6.51775i | 0.141498 | − | 0.435485i | |||||
0 | 0 | |||||||||
1.97166 | + | 1.43250i | 0.131153 | + | 0.0952883i | |||||
0.859779 | − | 2.64613i | 0.0570656 | − | 0.175630i | −0.918461 | − | 0.395512i | ||
0.975526 | + | 0.219882i | ||||||||
0 | 0 | |||||||||
−17.0058 | + | 12.3554i | −1.12377 | + | 0.816470i | −0.984777 | − | 0.173823i | ||
−0.138998 | + | 0.990293i | ||||||||
3.00463 | 0.198119 | |||||||||
0 | 0 | |||||||||
25.3181 | 1.66222 | |||||||||
−11.0308 | + | 8.01437i | −0.722654 | + | 0.525039i | −0.887231 | − | 0.461326i | ||
0.164577 | + | 0.986364i | ||||||||
0 | 0 | |||||||||
3.47141 | − | 10.6839i | 0.226450 | − | 0.696940i | |||||
7.59153 | + | 5.51557i | 0.494167 | + | 0.359033i | |||||
0 | 0 | |||||||||
−1.79446 | + | 5.52278i | −0.116318 | + | 0.357989i | |||||
−6.26582 | − | 19.2842i | −0.405302 | − | 1.24739i | −0.920643 | − | 0.390407i | ||
0.515340 | − | 0.856986i | ||||||||
0 | 0 | |||||||||
−26.3931 | −1.70013 | −0.850066 | − | 0.526676i | ||||||
−0.850066 | + | 0.526676i | ||||||||
0.776668 | − | 11.7085i | 0.0499261 | − | 0.752651i | |||||
0 | 0 | |||||||||
−0.427599 | + | 0.310669i | −0.0273742 | + | 0.0198885i | |||||
1.76424 | + | 5.42976i | 0.112713 | + | 0.346895i | |||||
0 | 0 | |||||||||
5.42308 | + | 3.94010i | 0.345062 | + | 0.250702i | |||||
−11.9409 | − | 8.67560i | −0.758250 | − | 0.550901i | |||||
0 | 0 | |||||||||
−3.43691 | − | 10.5777i | −0.217369 | − | 0.668993i | |||||
4.51620 | − | 3.28121i | 0.285060 | − | 0.207108i | −0.436062 | − | 0.899917i | ||
0.721121 | + | 0.692809i | ||||||||
0 | 0 | |||||||||
6.89085 | − | 3.22827i | 0.433224 | − | 0.202960i | |||||
−1.68806 | −0.105918 | |||||||||
0 | 0 | |||||||||
−5.03489 | − | 15.4958i | −0.314681 | − | 0.968488i | |||||
−8.53233 | + | 26.2598i | −0.532232 | + | 1.63804i | 0.217322 | + | 0.976100i | ||
−0.749555 | + | 0.661943i | ||||||||
0 | 0 | |||||||||
4.99205 | + | 3.62694i | 0.310191 | + | 0.225367i | |||||
0.765932 | − | 2.35730i | 0.0475011 | − | 0.146193i | |||||
0 | 0 | |||||||||
4.86957 | − | 3.53795i | 0.300843 | − | 0.218575i | |||||
−29.4556 | −1.81631 | −0.908156 | − | 0.418632i | ||||||
−0.908156 | + | 0.418632i | ||||||||
0 | 0 | |||||||||
−7.60130 | −0.466944 | |||||||||
3.78595 | − | 2.75065i | 0.232132 | − | 0.168653i | |||||
0 | 0 | |||||||||
−2.30682 | + | 7.09967i | −0.140912 | + | 0.433681i | |||||
−14.7566 | − | 10.7213i | −0.899723 | − | 0.653687i | 0.0386718 | − | 0.999252i | ||
−0.938395 | + | 0.345565i | ||||||||
0 | 0 | |||||||||
−2.16675 | + | 6.66858i | −0.131621 | + | 0.405087i | −0.995049 | − | 0.0993842i | ||
0.863428 | + | 0.504472i | ||||||||
1.68218 | + | 5.17721i | 0.101997 | + | 0.313915i | |||||
0 | 0 | |||||||||
23.0940 | 1.39516 | |||||||||
−7.91593 | − | 8.45842i | −0.477349 | − | 0.510062i | |||||
0 | 0 | |||||||||
9.31029 | − | 6.76432i | 0.559401 | − | 0.406429i | −0.271838 | − | 0.962343i | ||
0.831240 | + | 0.555914i | ||||||||
6.94234 | + | 21.3663i | 0.416374 | + | 1.28147i | |||||
0 | 0 | |||||||||
−4.64772 | − | 3.37677i | −0.277755 | − | 0.201801i | |||||
−9.16977 | − | 6.66223i | −0.547022 | − | 0.397435i | 0.279664 | − | 0.960098i | ||
−0.826686 | + | 0.562663i | ||||||||
0 | 0 | |||||||||
1.41474 | + | 4.35413i | 0.0840976 | + | 0.258826i | 0.984259 | − | 0.176730i | ||
−0.900162 | + | 0.435556i | ||||||||
10.8921 | − | 7.91361i | 0.646330 | − | 0.469586i | |||||
0 | 0 | |||||||||
1.02457 | + | 8.22288i | 0.0605842 | + | 0.486229i | |||||
−7.41950 | −0.437959 | |||||||||
0 | 0 | |||||||||
−1.35562 | − | 4.17217i | −0.0797423 | − | 0.245422i | |||||
3.35585 | − | 10.3282i | 0.197062 | − | 0.606495i | |||||
0 | 0 | |||||||||
−10.5703 | − | 7.67974i | −0.618577 | − | 0.449423i | |||||
−8.12850 | + | 25.0170i | −0.474872 | + | 1.46151i | 0.371258 | + | 0.928530i | ||
−0.846130 | + | 0.532977i | ||||||||
0 | 0 | |||||||||
10.8109 | − | 7.85460i | 0.629436 | − | 0.457312i | |||||
12.2909 | 0.714391 | |||||||||
0 | 0 | |||||||||
14.9308 | 0.864920 | |||||||||
−4.34743 | + | 3.15859i | −0.251418 | + | 0.182666i | |||||
0 | 0 | |||||||||
3.56416 | − | 10.9694i | 0.205435 | − | 0.632264i | |||||
−18.0948 | − | 13.1466i | −1.04124 | − | 0.756502i | |||||
0 | 0 | |||||||||
1.35562 | − | 4.17217i | 0.0777501 | − | 0.239290i | |||||
0.232592 | + | 0.715845i | 0.0133182 | + | 0.0409892i | |||||
0 | 0 | |||||||||
−14.7093 | −0.839504 | −0.419752 | − | 0.907639i | ||||||
−0.419752 | + | 0.907639i | ||||||||
−4.30332 | − | 0.828497i | −0.245204 | − | 0.0472080i | |||||
0 | 0 | |||||||||
−5.12185 | + | 3.72124i | −0.290901 | + | 0.211352i | |||||
−2.40653 | − | 7.40655i | −0.136462 | − | 0.419987i | 0.859353 | − | 0.511384i | ||
−0.995815 | + | 0.0913967i | ||||||||
0 | 0 | |||||||||
−14.6754 | − | 10.6623i | −0.829504 | − | 0.602670i | 0.0899148 | − | 0.995949i | ||
−0.919419 | + | 0.393279i | ||||||||
−15.1115 | − | 10.9791i | −0.852789 | − | 0.619588i | |||||
0 | 0 | |||||||||
0.517430 | + | 1.59249i | 0.0291077 | + | 0.0895844i | |||||
15.7364 | − | 11.4331i | 0.883843 | − | 0.642149i | −0.0504227 | − | 0.998728i | ||
0.934265 | + | 0.356579i | ||||||||
0 | 0 | |||||||||
−3.40065 | − | 27.2925i | −0.190400 | − | 1.52809i | |||||
−9.61852 | −0.537692 | |||||||||
0 | 0 | |||||||||
1.15928 | + | 3.56788i | 0.0646039 | + | 0.198830i | |||||
3.14102 | − | 9.66706i | 0.174771 | − | 0.537890i | |||||
0 | 0 | |||||||||
6.61851 | + | 4.80863i | 0.367129 | + | 0.266735i | |||||
−0.0630679 | + | 0.194103i | −0.00349301 | + | 0.0107504i | |||||
0 | 0 | |||||||||
−11.9562 | + | 8.68668i | −0.660170 | + | 0.479642i | |||||
14.0261 | 0.773283 | |||||||||
0 | 0 | |||||||||
−20.6236 | −1.13358 | −0.566788 | − | 0.823863i | ||||||
−0.566788 | + | 0.823863i | ||||||||
−3.71981 | + | 2.70260i | −0.204151 | + | 0.148325i | |||||
0 | 0 | |||||||||
−0.316077 | + | 0.972784i | −0.0172949 | + | 0.0532284i | |||||
8.60048 | + | 6.24862i | 0.469895 | + | 0.341398i | |||||
0 | 0 | |||||||||
−1.01877 | + | 3.13545i | −0.0554959 | + | 0.170799i | −0.974963 | − | 0.222369i | ||
0.919467 | + | 0.393168i | ||||||||
2.47708 | + | 7.62366i | 0.134735 | + | 0.414673i | |||||
0 | 0 | |||||||||
−3.75845 | −0.203830 | |||||||||
−7.74828 | + | 14.0374i | −0.419593 | + | 0.760169i | |||||
0 | 0 | |||||||||
−14.4472 | + | 10.4965i | −0.780077 | + | 0.566759i | |||||
−7.09934 | − | 21.8495i | −0.382771 | − | 1.17805i | |||||
0 | 0 | |||||||||
18.6743 | + | 13.5677i | 1.00394 | + | 0.729404i | |||||
−6.50317 | − | 4.72483i | −0.349109 | − | 0.253642i | 0.399386 | − | 0.916783i | ||
−0.748495 | + | 0.663140i | ||||||||
0 | 0 | |||||||||
0.924934 | + | 2.84665i | 0.0495106 | + | 0.152378i | 0.972755 | − | 0.231835i | ||
−0.923245 | + | 0.384213i | ||||||||
4.62050 | − | 3.35699i | 0.246976 | − | 0.179439i | |||||
0 | 0 | |||||||||
−13.4283 | + | 6.29099i | −0.715732 | + | 0.335311i | |||||
9.91473 | 0.527708 | 0.263854 | − | 0.964563i | ||||||
0.263854 | + | 0.964563i | ||||||||
0 | 0 | |||||||||
−5.92477 | − | 18.2346i | −0.314454 | − | 0.967791i | |||||
−1.55587 | + | 4.78848i | −0.0824610 | + | 0.253789i | |||||
0 | 0 | |||||||||
−17.6934 | − | 12.8550i | −0.935123 | − | 0.679407i | |||||
−4.69829 | + | 14.4598i | −0.247966 | + | 0.763161i | 0.747168 | + | 0.664635i | ||
−0.995134 | + | 0.0985263i | ||||||||
0 | 0 | |||||||||
8.74440 | − | 6.35318i | 0.460232 | − | 0.334378i | |||||
11.1246 | 0.584694 | |||||||||
0 | 0 | |||||||||
3.09472 | 0.162207 | |||||||||
−15.0529 | + | 10.9365i | −0.787902 | + | 0.572445i | |||||
0 | 0 | |||||||||
−0.428907 | + | 1.32004i | −0.0223888 | + | 0.0689056i | −0.961627 | − | 0.274361i | ||
0.939238 | + | 0.343267i | ||||||||
2.84512 | + | 2.06710i | 0.148312 | + | 0.107755i | |||||
0 | 0 | |||||||||
1.62912 | − | 5.01391i | 0.0846938 | − | 0.260661i | |||||
−2.93281 | − | 9.02625i | −0.152264 | − | 0.468620i | |||||
0 | 0 | |||||||||
19.1341 | 0.990725 | 0.495362 | − | 0.868686i | ||||||
0.495362 | + | 0.868686i | ||||||||
11.3784 | − | 5.33064i | 0.588364 | − | 0.275641i | |||||
0 | 0 | |||||||||
22.6024 | − | 16.4216i | 1.16563 | − | 0.846879i | |||||
6.00187 | + | 18.4718i | 0.309112 | + | 0.951348i | |||||
0 | 0 | |||||||||
0.383874 | + | 0.278900i | 0.0197183 | + | 0.0143262i | 0.597601 | − | 0.801794i | ||
−0.577882 | + | 0.816120i | ||||||||
2.45037 | + | 1.78030i | 0.125701 | + | 0.0913273i | |||||
0 | 0 | |||||||||
6.80504 | + | 20.9438i | 0.348176 | + | 1.07158i | |||||
16.8630 | − | 12.2517i | 0.861658 | − | 0.626031i | −0.0666775 | − | 0.997775i | ||
0.928336 | + | 0.371743i | ||||||||
0 | 0 | |||||||||
−3.01583 | + | 5.46373i | −0.153701 | + | 0.278457i | |||||
6.39201 | 0.325345 | |||||||||
0 | 0 | |||||||||
2.26584 | + | 6.97354i | 0.115031 | + | 0.354028i | |||||
0.823795 | − | 2.53538i | 0.0417681 | − | 0.128549i | −0.927998 | − | 0.372585i | ||
0.969766 | + | 0.244036i | ||||||||
0 | 0 | |||||||||
6.59224 | + | 4.78954i | 0.333384 | + | 0.242217i | |||||
−4.38763 | + | 13.5037i | −0.221609 | + | 0.682042i | |||||
0 | 0 | |||||||||
1.22376 | − | 0.889112i | 0.0616521 | − | 0.0447928i | |||||
2.38453 | 0.119979 | |||||||||
0 | 0 | |||||||||
−15.5756 | −0.781716 | −0.390858 | − | 0.920451i | ||||||
−0.390858 | + | 0.920451i | ||||||||
5.24153 | − | 3.80820i | 0.262734 | − | 0.190888i | |||||
0 | 0 | |||||||||
1.65444 | − | 5.09185i | 0.0827222 | − | 0.254593i | |||||
6.67194 | + | 4.84745i | 0.333181 | + | 0.242070i | 0.741779 | − | 0.670644i | ||
−0.408598 | + | 0.912714i | ||||||||
0 | 0 | |||||||||
3.49893 | − | 10.7686i | 0.174294 | − | 0.536423i | |||||
0.199854 | + | 0.615086i | 0.00994309 | + | 0.0306017i | |||||
0 | 0 | |||||||||
13.5592 | 0.672930 | |||||||||
−1.65087 | − | 13.2493i | −0.0818306 | − | 0.656745i | |||||
0 | 0 | |||||||||
−3.25502 | + | 2.36491i | −0.160950 | + | 0.116937i | −0.665345 | − | 0.746536i | ||
0.504395 | + | 0.863473i | ||||||||
1.95887 | + | 6.02878i | 0.0967417 | + | 0.297740i | |||||
0 | 0 | |||||||||
7.53646 | + | 5.47556i | 0.371295 | + | 0.269761i | |||||
13.4982 | + | 9.80702i | 0.664203 | + | 0.482572i | |||||
0 | 0 | |||||||||
2.02339 | + | 6.22735i | 0.0993243 | + | 0.305689i | |||||
8.47192 | − | 6.15521i | 0.415370 | − | 0.301784i | |||||
0 | 0 | |||||||||
−9.94333 | − | 1.91434i | −0.486344 | − | 0.0936335i | |||||
32.0411 | 1.56531 | 0.782654 | − | 0.622456i | ||||||
0.782654 | + | 0.622456i | ||||||||
0 | 0 | |||||||||
7.87554 | + | 24.2384i | 0.383830 | + | 1.18131i | 0.937325 | + | 0.348455i | ||
−0.553495 | + | 0.832852i | ||||||||
−5.25592 | + | 16.1761i | −0.255854 | + | 0.787439i | |||||
0 | 0 | |||||||||
−15.2939 | − | 11.1117i | −0.742739 | − | 0.539631i | |||||
3.83341 | − | 11.7980i | 0.185948 | − | 0.572288i | |||||
0 | 0 | |||||||||
−0.760297 | + | 0.552388i | −0.0367934 | + | 0.0267320i | |||||
3.44035 | 0.166296 | |||||||||
0 | 0 | |||||||||
−9.85425 | −0.475214 | |||||||||
−16.7429 | + | 12.1644i | −0.806477 | + | 0.585940i | −0.912807 | − | 0.408391i | ||
0.106330 | + | 0.994331i | ||||||||
0 | 0 | |||||||||
−4.45957 | + | 13.7251i | −0.214313 | + | 0.659588i | 0.784889 | + | 0.619637i | ||
−0.999202 | + | 0.0399509i | ||||||||
−6.39499 | − | 4.64623i | −0.306969 | − | 0.223026i | |||||
0 | 0 | |||||||||
3.49260 | − | 10.7491i | 0.167265 | − | 0.514790i | |||||
−2.02919 | − | 6.24521i | −0.0970694 | − | 0.298749i | |||||
0 | 0 | |||||||||
8.95399 | 0.427351 | 0.213675 | − | 0.976905i | ||||||
0.213675 | + | 0.976905i | ||||||||
1.53700 | + | 12.3355i | 0.0732736 | + | 0.588070i | |||||
0 | 0 | |||||||||
−7.17864 | + | 5.21559i | −0.341453 | + | 0.248080i | |||||
3.16988 | + | 9.75589i | 0.150606 | + | 0.463516i | 0.997689 | − | 0.0679433i | ||
−0.847084 | + | 0.531460i | ||||||||
0 | 0 | |||||||||
5.80073 | + | 4.21448i | 0.274981 | + | 0.199785i | |||||
22.7042 | + | 16.4955i | 1.07507 | + | 0.781086i | |||||
0 | 0 | |||||||||
−3.71111 | − | 11.4216i | −0.175333 | − | 0.539621i | |||||
16.5355 | − | 12.0137i | 0.780359 | − | 0.566964i | −0.124728 | − | 0.992191i | ||
0.905087 | + | 0.425227i | ||||||||
0 | 0 | |||||||||
10.9700 | + | 11.7218i | 0.516558 | + | 0.551958i | |||||
−1.96945 | −0.0926351 | |||||||||
0 | 0 | |||||||||
−0.917168 | − | 2.82275i | −0.0430448 | − | 0.132478i | |||||
1.36188 | − | 4.19142i | 0.0638457 | − | 0.196497i | |||||
0 | 0 | |||||||||
31.1364 | + | 22.6219i | 1.45650 | + | 1.05821i | 0.984258 | + | 0.176739i | ||
0.472242 | + | 0.881469i | ||||||||
−6.92921 | + | 21.3259i | −0.323781 | + | 0.996494i | |||||
0 | 0 | |||||||||
−1.96435 | + | 1.42718i | −0.0915882 | + | 0.0665427i | |||||
19.5409 | 0.910110 | 0.455055 | − | 0.890463i | ||||||
0.455055 | + | 0.890463i | ||||||||
0 | 0 | |||||||||
−16.5263 | −0.768042 | −0.384021 | − | 0.923324i | ||||||
−0.384021 | + | 0.923324i | ||||||||
10.2832 | − | 7.47119i | 0.477386 | − | 0.346841i | |||||
0 | 0 | |||||||||
−4.49464 | + | 13.8331i | −0.208210 | + | 0.640805i | |||||
23.7147 | + | 17.2297i | 1.09739 | + | 0.797297i | 0.980631 | − | 0.195864i | ||
0.116754 | + | 0.993161i | ||||||||
0 | 0 | |||||||||
−4.10167 | + | 12.6236i | −0.189398 | + | 0.582906i | |||||
−3.70312 | − | 11.3970i | −0.170812 | − | 0.525705i | |||||
0 | 0 | |||||||||
33.2337 | 1.52971 | |||||||||
−22.5999 | + | 10.5877i | −1.03914 | + | 0.486824i | |||||
0 | 0 | |||||||||
−8.08771 | + | 5.87607i | −0.371090 | + | 0.269613i | |||||
−1.45012 | − | 4.46301i | −0.0664661 | − | 0.204562i | |||||
0 | 0 | |||||||||
−17.4991 | − | 12.7138i | −0.800389 | − | 0.581517i | |||||
−12.5305 | − | 9.10393i | −0.572533 | − | 0.415969i | 0.263492 | − | 0.964662i | ||
−0.836024 | + | 0.548692i | ||||||||
0 | 0 | |||||||||
2.91365 | + | 8.96728i | 0.132851 | + | 0.408873i | |||||
−22.7777 | + | 16.5490i | −1.03750 | + | 0.753786i | |||||
0 | 0 | |||||||||
5.05371 | + | 8.02362i | 0.229714 | + | 0.364710i | |||||
10.4419 | 0.474143 | |||||||||
0 | 0 | |||||||||
−1.19788 | − | 3.68670i | −0.0542811 | − | 0.167060i | 0.920241 | − | 0.391353i | ||
−0.974522 | + | 0.224293i | ||||||||
−0.578454 | + | 1.78030i | −0.0261854 | + | 0.0805903i | |||||
0 | 0 | |||||||||
4.92713 | + | 3.57977i | 0.222585 | + | 0.161717i | |||||
2.24264 | − | 6.90215i | 0.101209 | − | 0.311490i | −0.887613 | − | 0.460590i | ||
0.988822 | + | 0.149101i | ||||||||
0 | 0 | |||||||||
23.8266 | − | 17.3110i | 1.07310 | − | 0.779649i | |||||
7.15072 | 0.321726 | |||||||||
0 | 0 | |||||||||
−7.41004 | −0.332721 | |||||||||
19.3669 | − | 14.0709i | 0.868725 | − | 0.631165i | |||||
0 | 0 | |||||||||
11.0928 | − | 34.1400i | 0.496580 | − | 1.52832i | −0.317900 | − | 0.948124i | ||
0.814480 | − | 0.580192i | ||||||||
7.27131 | + | 5.28292i | 0.325183 | + | 0.236259i | |||||
0 | 0 | |||||||||
1.84018 | − | 5.66348i | 0.0821311 | − | 0.252774i | |||||
4.52869 | + | 13.9379i | 0.201924 | + | 0.621459i | 0.999826 | + | 0.0186711i | ||
−0.797901 | + | 0.602788i | ||||||||
0 | 0 | |||||||||
0.921008 | 0.0409843 | |||||||||
3.92274 | − | 7.10675i | 0.174387 | − | 0.315933i | |||||
0 | 0 | |||||||||
1.10361 | − | 0.801818i | 0.0489647 | − | 0.0355749i | |||||
−0.124689 | − | 0.383752i | −0.00552673 | − | 0.0170095i | 0.948255 | − | 0.317509i | ||
−0.953782 | + | 0.300500i | ||||||||
0 | 0 | |||||||||
−18.7946 | − | 13.6550i | −0.831422 | − | 0.604064i | |||||
−13.1162 | − | 9.52950i | −0.579661 | − | 0.421148i | |||||
0 | 0 | |||||||||
9.10185 | + | 28.0126i | 0.401465 | + | 1.23558i | |||||
10.7325 | − | 7.79761i | 0.472930 | − | 0.343604i | |||||
0 | 0 | |||||||||
−20.7381 | − | 22.1593i | −0.912061 | − | 0.974565i | |||||
6.58239 | 0.289214 | |||||||||
0 | 0 | |||||||||
−2.71267 | − | 8.34875i | −0.118959 | − | 0.366117i | |||||
−3.50114 | + | 10.7754i | −0.153388 | + | 0.472079i | −0.997994 | − | 0.0633089i | ||
0.844606 | + | 0.535388i | ||||||||
0 | 0 | |||||||||
11.6876 | + | 8.49154i | 0.511063 | + | 0.371309i | 0.813227 | − | 0.581947i | ||
−0.302164 | + | 0.953256i | ||||||||
−1.50309 | + | 4.62604i | −0.0656629 | + | 0.202090i | |||||
0 | 0 | |||||||||
−25.4207 | + | 18.4692i | −1.10840 | + | 0.805297i | |||||
−17.1693 | −0.747908 | |||||||||
0 | 0 | |||||||||
−17.7359 | −0.771124 | |||||||||
−6.56005 | + | 4.76616i | −0.284950 | + | 0.207029i | |||||
0 | 0 | |||||||||
−1.16861 | + | 3.59661i | −0.0506657 | + | 0.155933i | |||||
−9.17202 | − | 6.66387i | −0.397284 | − | 0.288644i | |||||
0 | 0 | |||||||||
1.51398 | − | 4.65954i | 0.0654549 | − | 0.201449i | |||||
8.16998 | + | 25.1446i | 0.352890 | + | 1.08608i | |||||
0 | 0 | |||||||||
−19.4576 | −0.838877 | |||||||||
15.1461 | + | 2.91601i | 0.652391 | + | 0.125602i | |||||
0 | 0 | |||||||||
18.9044 | − | 13.7349i | 0.812765 | − | 0.590509i | −0.101866 | − | 0.994798i | ||
0.914631 | + | 0.404290i | ||||||||
2.31138 | + | 7.11370i | 0.0992823 | + | 0.305559i | |||||
0 | 0 | |||||||||
−12.8464 | − | 9.33346i | −0.550785 | − | 0.400169i | |||||
−13.0214 | − | 9.46060i | −0.557776 | − | 0.405248i | |||||
0 | 0 | |||||||||
1.13277 | + | 3.48630i | 0.0484337 | + | 0.149063i | 0.972348 | − | 0.233535i | ||
−0.923915 | + | 0.382598i | ||||||||
−15.0982 | + | 10.9695i | −0.644965 | + | 0.468594i | |||||
0 | 0 | |||||||||
−12.1352 | − | 2.33633i | −0.517446 | − | 0.0996213i | |||||
−23.7339 | −1.01110 | |||||||||
0 | 0 | |||||||||
0.920023 | + | 2.83154i | 0.0391234 | + | 0.120409i | |||||
3.79359 | − | 11.6755i | 0.161174 | − | 0.496043i | |||||
0 | 0 | |||||||||
−14.6876 | − | 10.6712i | −0.622893 | − | 0.452558i | |||||
10.6998 | − | 32.9306i | 0.453365 | − | 1.39531i | −0.419680 | − | 0.907672i | ||
0.873044 | − | 0.487641i | ||||||||
0 | 0 | |||||||||
14.2582 | − | 10.3592i | 0.603059 | − | 0.438148i | |||||
−2.88418 | −0.121879 | |||||||||
0 | 0 | |||||||||
−12.0910 | −0.510028 | |||||||||
31.1564 | − | 22.6364i | 1.31309 | − | 0.954012i | 0.313095 | − | 0.949722i | ||
0.999991 | − | 0.00429056i | ||||||||
0 | 0 | |||||||||
−0.866684 | + | 2.66738i | −0.0364617 | + | 0.112218i | |||||
3.95107 | + | 2.87062i | 0.166076 | + | 0.120661i | |||||
0 | 0 | |||||||||
14.7348 | − | 45.3492i | 0.618260 | − | 1.90281i | |||||
−7.93065 | − | 24.4080i | −0.332470 | − | 1.02324i | −0.967955 | − | 0.251124i | ||
0.635485 | − | 0.772114i | ||||||||
0 | 0 | |||||||||
22.4284 | 0.938600 | 0.469300 | − | 0.883039i | ||||||
0.469300 | + | 0.883039i | ||||||||
−4.57566 | − | 4.88924i | −0.191318 | − | 0.204429i | |||||
0 | 0 | |||||||||
−6.40316 | + | 4.65217i | −0.267263 | + | 0.194178i | |||||
−2.47649 | − | 7.62187i | −0.103277 | − | 0.317854i | |||||
0 | 0 | |||||||||
−16.4972 | − | 11.9859i | −0.686786 | − | 0.498979i | 0.188816 | − | 0.982013i | ||
−0.875602 | + | 0.483033i | ||||||||
−3.78595 | − | 2.75065i | −0.157475 | − | 0.114412i | |||||
0 | 0 | |||||||||
2.71189 | + | 8.34634i | 0.112605 | + | 0.346563i | |||||
−6.61406 | + | 4.80539i | −0.274397 | + | 0.199361i | |||||
0 | 0 | |||||||||
−9.92398 | + | 17.9791i | −0.411009 | + | 0.744618i | |||||
−46.2738 | −1.91482 | |||||||||
0 | 0 | |||||||||
8.67107 | + | 26.6868i | 0.358198 | + | 1.10242i | |||||
−2.07403 | + | 6.38320i | −0.0856043 | + | 0.263463i | −0.984691 | − | 0.174307i | ||
0.899087 | + | 0.437770i | ||||||||
0 | 0 | |||||||||
11.1938 | + | 8.13276i | 0.461232 | + | 0.335104i | |||||
4.40504 | − | 13.5573i | 0.181352 | − | 0.558145i | |||||
0 | 0 | |||||||||
4.99205 | − | 3.62694i | 0.205172 | − | 0.149066i | |||||
−12.4707 | −0.512110 | −0.256055 | − | 0.966662i | ||||||
−0.256055 | + | 0.966662i | ||||||||
0 | 0 | |||||||||
−6.68275 | −0.273966 | |||||||||
−9.76138 | + | 7.09206i | −0.399842 | + | 0.290502i | |||||
0 | 0 | |||||||||
−1.77141 | + | 5.45184i | −0.0724384 | + | 0.222942i | |||||
−4.35794 | − | 3.16623i | −0.178061 | − | 0.129369i | 0.495185 | − | 0.868788i | ||
−0.673246 | + | 0.739419i | ||||||||
0 | 0 | |||||||||
12.5533 | − | 38.6351i | 0.512059 | − | 1.57596i | −0.276510 | − | 0.961011i | ||
0.788569 | − | 0.614946i | ||||||||
−3.80206 | − | 11.7015i | −0.154961 | − | 0.476919i | |||||
0 | 0 | |||||||||
18.0744 | 0.735439 | |||||||||
13.0910 | − | 3.31372i | 0.532224 | − | 0.134722i | |||||
0 | 0 | |||||||||
−30.1803 | + | 21.9272i | −1.22498 | + | 0.889999i | −0.996504 | − | 0.0835505i | ||
−0.228475 | + | 0.973550i | ||||||||
3.95432 | + | 12.1702i | 0.160369 | + | 0.493565i | |||||
0 | 0 | |||||||||
0.649579 | + | 0.471947i | 0.0263007 | + | 0.0191086i | |||||
17.3391 | + | 12.5976i | 0.701465 | + | 0.509644i | |||||
0 | 0 | |||||||||
−2.35013 | − | 7.23295i | −0.0949208 | − | 0.292136i | 0.892312 | − | 0.451419i | ||
−0.987233 | + | 0.159283i | ||||||||
−12.6944 | + | 9.22301i | −0.512304 | + | 0.372210i | |||||
0 | 0 | |||||||||
−14.0549 | + | 6.58451i | −0.566286 | + | 0.265298i | |||||
−38.2642 | −1.54046 | −0.770229 | − | 0.637767i | ||||||
−0.770229 | + | 0.637767i | ||||||||
0 | 0 | |||||||||
9.54846 | + | 29.3871i | 0.383785 | + | 1.18117i | 0.937358 | + | 0.348368i | ||
−0.553573 | + | 0.832801i | ||||||||
1.58096 | − | 4.86570i | 0.0634929 | − | 0.195411i | |||||
0 | 0 | |||||||||
−6.72093 | − | 4.88304i | −0.269485 | − | 0.195792i | |||||
−2.76643 | + | 8.51421i | −0.110835 | + | 0.341115i | |||||
0 | 0 | |||||||||
−3.77433 | + | 2.74221i | −0.150973 | + | 0.109689i | |||||
−19.3506 | −0.773407 | |||||||||
0 | 0 | |||||||||
15.0945 | 0.602336 | |||||||||
11.5668 | − | 8.40375i | 0.461197 | − | 0.335079i | |||||
0 | 0 | |||||||||
1.73983 | − | 5.35465i | 0.0692616 | − | 0.213165i | −0.910435 | − | 0.413653i | ||
0.979696 | + | 0.200488i | ||||||||
4.79771 | + | 3.48574i | 0.190843 | + | 0.138655i | |||||
0 | 0 | |||||||||
6.41196 | − | 19.7340i | 0.254652 | − | 0.783737i | |||||
−0.600306 | − | 1.84755i | −0.0238224 | − | 0.0733179i | |||||
0 | 0 | |||||||||
−10.8923 | −0.431569 | |||||||||
−20.0477 | − | 21.4216i | −0.793698 | − | 0.848091i | |||||
0 | 0 | |||||||||
0.580131 | − | 0.421490i | 0.0229317 | − | 0.0166609i | |||||
−13.0681 | − | 40.2195i | −0.516159 | − | 1.58857i | −0.781163 | − | 0.624327i | ||
0.265004 | − | 0.964247i | ||||||||
0 | 0 | |||||||||
9.80010 | + | 7.12019i | 0.386478 | + | 0.280793i | 0.764011 | − | 0.645203i | ||
−0.377533 | + | 0.925996i | ||||||||
−2.45263 | − | 1.78194i | −0.0966471 | − | 0.0702182i | |||||
0 | 0 | |||||||||
−3.35068 | − | 10.3123i | −0.131831 | − | 0.405733i | |||||
−33.3540 | + | 24.2331i | −1.31128 | + | 0.952703i | −0.311286 | + | 0.950316i | ||
−0.999997 | + | 0.00238648i | ||||||||
0 | 0 | |||||||||
−4.46385 | − | 35.8254i | −0.175221 | − | 1.40627i | |||||
8.72698 | 0.342301 | |||||||||
0 | 0 | |||||||||
−0.0509658 | − | 0.156856i | −0.00199597 | − | 0.00614297i | |||||
4.25924 | − | 13.1086i | 0.166677 | − | 0.512979i | −0.832479 | − | 0.554056i | ||
0.999156 | + | 0.0410778i | ||||||||
0 | 0 | |||||||||
5.60395 | + | 4.07151i | 0.218964 | + | 0.159087i | |||||
−2.29275 | + | 7.05637i | −0.0895170 | + | 0.275505i | |||||
0 | 0 | |||||||||
12.1048 | − | 8.79462i | 0.471892 | − | 0.342850i | |||||
7.42881 | 0.289385 | 0.144693 | − | 0.989477i | ||||||
0.144693 | + | 0.989477i | ||||||||
0 | 0 | |||||||||
−10.6949 | −0.415984 | −0.207992 | − | 0.978130i | ||||||
−0.207992 | + | 0.978130i | ||||||||
−17.7985 | + | 12.9314i | −0.691760 | + | 0.502593i | |||||
0 | 0 | |||||||||
−5.03214 | + | 15.4873i | −0.195285 | + | 0.601026i | |||||
4.35691 | + | 3.16548i | 0.168954 | + | 0.122752i | |||||
0 | 0 | |||||||||
5.87948 | − | 18.0952i | 0.227654 | − | 0.700648i | |||||
−0.255424 | − | 0.786115i | −0.00988266 | − | 0.0304157i | |||||
0 | 0 | |||||||||
11.3404 | 0.438117 | |||||||||
1.99683 | + | 0.384439i | 0.0770867 | + | 0.0148411i | |||||
0 | 0 | |||||||||
15.7103 | − | 11.4142i | 0.605588 | − | 0.439986i | −0.242270 | − | 0.970209i | ||
0.847858 | + | 0.530223i | ||||||||
1.08677 | + | 3.34474i | 0.0418609 | + | 0.128834i | |||||
0 | 0 | |||||||||
−5.24065 | − | 3.80755i | −0.201563 | − | 0.146444i | |||||
26.2504 | + | 19.0720i | 1.00888 | + | 0.732997i | 0.963975 | − | 0.265994i | ||
0.0449095 | + | 0.998991i | ||||||||
0 | 0 | |||||||||
4.02880 | + | 12.3994i | 0.154611 | + | 0.475844i | |||||
−10.7689 | + | 7.82409i | −0.412970 | + | 0.300040i | |||||
0 | 0 | |||||||||
2.11482 | + | 16.9729i | 0.0809807 | + | 0.649924i | |||||
20.5244 | 0.785344 | 0.392672 | − | 0.919679i | ||||||
0.392672 | + | 0.919679i | ||||||||
0 | 0 | |||||||||
8.21267 | + | 25.2760i | 0.313790 | + | 0.965747i | |||||
−5.88669 | + | 18.1174i | −0.224755 | + | 0.691724i | |||||
0 | 0 | |||||||||
−9.33110 | − | 6.77944i | −0.355745 | − | 0.258464i | |||||
4.48142 | − | 13.7924i | 0.170729 | − | 0.525449i | |||||
0 | 0 | |||||||||
23.9062 | − | 17.3688i | 0.909433 | − | 0.660742i | −0.0314381 | − | 0.999506i | ||
0.940871 | + | 0.338764i | ||||||||
−18.6534 | −0.709094 | |||||||||
0 | 0 | |||||||||
−8.57491 | −0.325499 | |||||||||
−20.9163 | + | 15.1966i | −0.793400 | + | 0.576439i | |||||
0 | 0 | |||||||||
−5.31239 | + | 16.3499i | −0.201221 | + | 0.619295i | |||||
2.58314 | + | 1.87676i | 0.0977733 | + | 0.0710365i | |||||
0 | 0 | |||||||||
−1.42621 | + | 4.38943i | −0.0539057 | + | 0.165905i | |||||
−6.24195 | − | 19.2108i | −0.235755 | − | 0.725580i | −0.997020 | − | 0.0771395i | ||
0.761265 | − | 0.648441i | ||||||||
0 | 0 | |||||||||
−11.5218 | −0.434553 | |||||||||
−12.5576 | + | 22.7504i | −0.473282 | + | 0.857436i | |||||
0 | 0 | |||||||||
8.55658 | − | 6.21672i | 0.322031 | − | 0.233969i | |||||
0.355352 | + | 1.09366i | 0.0133644 | + | 0.0411314i | |||||
0 | 0 | |||||||||
−8.44613 | − | 6.13647i | −0.317201 | − | 0.230460i | 0.417779 | − | 0.908549i | ||
−0.734980 | + | 0.678089i | ||||||||
−16.5466 | − | 12.0218i | −0.620983 | − | 0.451171i | |||||
0 | 0 | |||||||||
5.51037 | + | 16.9592i | 0.206510 | + | 0.635572i | |||||
−8.97353 | + | 6.51965i | −0.336061 | + | 0.244163i | |||||
0 | 0 | |||||||||
−8.63546 | + | 4.04560i | −0.322948 | + | 0.151297i | |||||
17.6735 | 0.660489 | |||||||||
0 | 0 | |||||||||
5.01189 | + | 15.4250i | 0.187042 | + | 0.575656i | |||||
5.23808 | − | 16.1212i | 0.195348 | − | 0.601218i | −0.804625 | − | 0.593784i | ||
0.999972 | − | 0.00743448i | ||||||||
0 | 0 | |||||||||
13.4003 | + | 9.73588i | 0.499053 | + | 0.362583i | |||||
3.56301 | − | 10.9658i | 0.132601 | − | 0.408105i | |||||
0 | 0 | |||||||||
−7.27295 | + | 5.28411i | −0.270297 | + | 0.196382i | |||||
−28.9657 | −1.07576 | |||||||||
0 | 0 | |||||||||
−26.2077 | −0.971991 | −0.485996 | − | 0.873961i | ||||||
−0.485996 | + | 0.873961i | ||||||||
8.86719 | − | 6.44239i | 0.328640 | − | 0.238771i | |||||
0 | 0 | |||||||||
−6.13346 | + | 18.8768i | −0.227010 | + | 0.698663i | |||||
−21.6205 | − | 15.7082i | −0.799663 | − | 0.580989i | |||||
0 | 0 | |||||||||
−5.18559 | + | 15.9596i | −0.191534 | + | 0.589481i | 0.808465 | + | 0.588544i | ||
−1.00000 | 0.000937776i | |||||||||
0.457536 | + | 1.40815i | 0.0168880 | + | 0.0519758i | |||||
0 | 0 | |||||||||
−10.2583 | −0.378127 | |||||||||
26.0081 | − | 12.1845i | 0.958022 | − | 0.448820i | |||||
0 | 0 | |||||||||
−7.71218 | + | 5.60322i | −0.283697 | + | 0.206118i | −0.720528 | − | 0.693425i | ||
0.436831 | + | 0.899543i | ||||||||
1.31650 | + | 4.05178i | 0.0483957 | + | 0.148947i | |||||
0 | 0 | |||||||||
−8.19069 | − | 5.95089i | −0.300690 | − | 0.218464i | |||||
−2.22765 | − | 1.61848i | −0.0817246 | − | 0.0593764i | 0.546173 | − | 0.837673i | ||
−0.627897 | + | 0.778296i | ||||||||
0 | 0 | |||||||||
5.30970 | + | 16.3416i | 0.194532 | + | 0.598709i | |||||
16.5130 | − | 11.9974i | 0.604585 | − | 0.439257i | |||||
0 | 0 | |||||||||
−4.90689 | + | 8.88972i | −0.179414 | + | 0.325040i | |||||
6.11716 | 0.223516 | |||||||||
0 | 0 | |||||||||
10.7058 | + | 32.9491i | 0.390661 | + | 1.20233i | 0.932289 | + | 0.361713i | ||
−0.541628 | + | 0.840618i | ||||||||
4.33430 | − | 13.3396i | 0.158056 | − | 0.486445i | |||||
0 | 0 | |||||||||
16.7619 | + | 12.1782i | 0.610433 | + | 0.443505i | |||||
7.95391 | − | 24.4796i | 0.289472 | − | 0.890905i | |||||
0 | 0 | |||||||||
−3.15478 | + | 2.29208i | −0.114663 | + | 0.0833072i | −0.643639 | − | 0.765329i | ||
0.528976 | + | 0.848637i | ||||||||
0.506165 | 0.0183848 | |||||||||
0 | 0 | |||||||||
10.7271 | 0.389112 | |||||||||
1.77801 | − | 1.29180i | 0.0644527 | − | 0.0468276i | −0.555092 | − | 0.831789i | ||
0.619545 | + | 0.784961i | ||||||||
0 | 0 | |||||||||
6.21006 | − | 19.1126i | 0.224819 | − | 0.691923i | |||||
−14.3971 | − | 10.4601i | −0.520870 | − | 0.378434i | |||||
0 | 0 | |||||||||
6.87102 | − | 21.1468i | 0.248260 | − | 0.764065i | |||||
7.87832 | + | 24.2470i | 0.284470 | + | 0.875507i | |||||
0 | 0 | |||||||||
39.6598 | 1.43017 | 0.715085 | − | 0.699037i | ||||||
0.715085 | + | 0.699037i | ||||||||
0.823143 | + | 6.60627i | 0.0296640 | + | 0.238074i | |||||
0 | 0 | |||||||||
−4.17893 | + | 3.03617i | −0.150403 | + | 0.109274i | |||||
−4.55217 | − | 14.0102i | −0.163730 | − | 0.503910i | 0.835210 | − | 0.549931i | ||
−0.998940 | + | 0.0460208i | ||||||||
0 | 0 | |||||||||
13.6613 | + | 9.92549i | 0.490727 | + | 0.356534i | |||||
21.0093 | + | 15.2641i | 0.754190 | + | 0.547951i | |||||
0 | 0 | |||||||||
−0.878782 | − | 2.70461i | −0.0315059 | − | 0.0969650i | |||||
11.2081 | − | 8.14314i | 0.401571 | − | 0.291758i | |||||
0 | 0 | |||||||||
−50.8648 | − | 9.79275i | −1.82009 | − | 0.350412i | |||||
8.69234 | 0.310838 | |||||||||
0 | 0 | |||||||||
2.20277 | + | 6.77944i | 0.0786705 | + | 0.242123i | |||||
6.64255 | − | 20.4437i | 0.237083 | − | 0.729665i | |||||
0 | 0 | |||||||||
0.426247 | + | 0.309686i | 0.0151941 | + | 0.0110391i | 0.595356 | − | 0.803462i | ||
−0.580162 | + | 0.814501i | ||||||||
−0.377738 | + | 1.16256i | −0.0134563 | + | 0.0414144i | |||||
0 | 0 | |||||||||
2.05789 | − | 1.49515i | 0.0732165 | − | 0.0531949i | |||||
−3.50180 | −0.124510 | |||||||||
0 | 0 | |||||||||
−1.43601 | −0.0509943 | |||||||||
−13.4420 | + | 9.76618i | −0.477039 | + | 0.346589i | |||||
0 | 0 | |||||||||
−1.61790 | + | 4.97940i | −0.0573451 | + | 0.176490i | |||||
−4.55735 | − | 3.31111i | −0.161429 | − | 0.117285i | 0.504138 | − | 0.863623i | ||
−0.665567 | + | 0.746338i | ||||||||
0 | 0 | |||||||||
10.0427 | − | 30.9083i | 0.355286 | − | 1.09346i | |||||
4.82599 | + | 14.8529i | 0.170625 | + | 0.525128i | |||||
0 | 0 | |||||||||
8.79744 | 0.310649 | |||||||||
6.21535 | + | 49.8824i | 0.219335 | + | 1.76031i | |||||
0 | 0 | |||||||||
−3.49273 | + | 2.53762i | −0.123103 | + | 0.0894393i | |||||
−3.73248 | − | 11.4874i | −0.131471 | − | 0.404626i | |||||
0 | 0 | |||||||||
1.85308 | + | 1.34634i | 0.0651912 | + | 0.0473642i | |||||
19.1292 | + | 13.8982i | 0.672549 | + | 0.488635i | 0.870877 | − | 0.491500i | ||
−0.198329 | + | 0.980136i | ||||||||
0 | 0 | |||||||||
−4.98249 | − | 15.3345i | −0.174959 | − | 0.538468i | 0.824673 | − | 0.565610i | ||
−0.999632 | + | 0.0271423i | ||||||||
−8.86463 | + | 6.44053i | −0.311087 | + | 0.226018i | |||||
0 | 0 | |||||||||
−9.73231 | − | 10.3993i | −0.341117 | − | 0.364495i | |||||
−0.234871 | −0.00822718 | |||||||||
0 | 0 | |||||||||
6.65512 | + | 20.4824i | 0.232833 | + | 0.716587i | |||||
−1.32629 | + | 4.08191i | −0.0463728 | + | 0.142721i | |||||
0 | 0 | |||||||||
−4.14430 | − | 3.01101i | −0.144725 | − | 0.105149i | |||||
−6.40533 | + | 19.7136i | −0.223548 | + | 0.688009i | 0.774888 | + | 0.632098i | ||
−0.998436 | + | 0.0559105i | ||||||||
0 | 0 | |||||||||
21.3970 | − | 15.5458i | 0.745852 | − | 0.541893i | −0.148686 | − | 0.988884i | ||
0.894538 | + | 0.446991i | ||||||||
32.9926 | 1.14935 | |||||||||
0 | 0 | |||||||||
17.7984 | 0.619285 | |||||||||
42.3796 | − | 30.7905i | 1.47368 | − | 1.07069i | 0.494156 | − | 0.869373i | ||
0.979526 | − | 0.201319i | ||||||||
0 | 0 | |||||||||
8.69589 | − | 26.7632i | 0.302021 | − | 0.929525i | −0.678751 | − | 0.734368i | ||
0.980772 | − | 0.195156i | ||||||||
5.65089 | + | 4.10561i | 0.196145 | + | 0.142508i | |||||
0 | 0 | |||||||||
5.67070 | − | 17.4526i | 0.196596 | − | 0.605061i | |||||
5.10391 | + | 15.7082i | 0.176840 | + | 0.544257i | |||||
0 | 0 | |||||||||
−1.17710 | −0.0407352 | |||||||||
7.40999 | − | 3.47148i | 0.256280 | − | 0.120064i | |||||
0 | 0 | |||||||||
27.6520 | − | 20.0904i | 0.955223 | − | 0.694010i | |||||
13.5192 | + | 41.6078i | 0.466735 | + | 1.43646i | 0.856788 | + | 0.515669i | ||
−0.390053 | + | 0.920792i | ||||||||
0 | 0 | |||||||||
−32.1729 | − | 23.3750i | −1.10941 | − | 0.806033i | |||||
21.9947 | + | 15.9801i | 0.757986 | + | 0.550709i | |||||
0 | 0 | |||||||||
−4.24736 | − | 13.0720i | −0.146200 | − | 0.449958i | |||||
−7.46309 | + | 5.42225i | −0.256738 | + | 0.186531i | |||||
0 | 0 | |||||||||
8.98580 | + | 14.2665i | 0.308756 | + | 0.490202i | |||||
−9.49076 | −0.325914 | |||||||||
0 | 0 | |||||||||
−4.08928 | − | 12.5855i | −0.140261 | − | 0.431679i | |||||
2.85423 | − | 8.78442i | 0.0978418 | − | 0.301126i | |||||
0 | 0 | |||||||||
17.0427 | + | 12.3822i | 0.583530 | + | 0.423960i | 0.839995 | − | 0.542594i | ||
−0.256465 | + | 0.966554i | ||||||||
−0.309792 | + | 0.953442i | −0.0106009 | + | 0.0326261i | |||||
0 | 0 | |||||||||
9.85753 | − | 7.16191i | 0.336923 | − | 0.244789i | |||||
18.8828 | 0.645025 | 0.322512 | − | 0.946565i | ||||||
0.322512 | + | 0.946565i | ||||||||
0 | 0 | |||||||||
−43.0833 | −1.46998 | −0.734992 | − | 0.678075i | ||||||
−0.734992 | + | 0.678075i | ||||||||
6.44245 | − | 4.68072i | 0.219686 | − | 0.159611i | |||||
0 | 0 | |||||||||
−6.82208 | + | 20.9962i | −0.232361 | + | 0.715134i | |||||
−12.9855 | − | 9.43449i | −0.442030 | − | 0.321154i | 0.344411 | − | 0.938819i | ||
−0.786441 | + | 0.617665i | ||||||||
0 | 0 | |||||||||
−8.20867 | + | 25.2637i | −0.279103 | + | 0.858992i | |||||
4.75723 | + | 14.6413i | 0.161657 | + | 0.497530i | |||||
0 | 0 | |||||||||
6.38781 | 0.216817 | |||||||||
3.11316 | − | 5.64005i | 0.105607 | − | 0.191326i | |||||
0 | 0 | |||||||||
−16.4085 | + | 11.9215i | −0.555981 | + | 0.403944i | |||||
−12.3696 | − | 38.0698i | −0.418888 | − | 1.28920i | |||||
0 | 0 | |||||||||
−5.66709 | − | 4.11738i | −0.191692 | − | 0.139273i | |||||
12.9288 | + | 9.39335i | 0.437074 | + | 0.317553i | |||||
0 | 0 | |||||||||
4.75721 | + | 14.6412i | 0.160640 | + | 0.494398i | 0.998689 | − | 0.0511972i | ||
−0.838049 | + | 0.545595i | ||||||||
7.72745 | − | 5.61432i | 0.260789 | − | 0.189474i | |||||
0 | 0 | |||||||||
4.26437 | + | 4.55661i | 0.143752 | + | 0.153603i | |||||
−3.84430 | −0.129518 | −0.0647589 | − | 0.997901i | ||||||
−0.0647589 | + | 0.997901i | ||||||||
0 | 0 | |||||||||
6.15742 | + | 18.9506i | 0.207214 | + | 0.637738i | 0.999615 | + | 0.0277382i | ||
−0.792402 | + | 0.610000i | ||||||||
2.21583 | − | 6.81963i | 0.0745265 | − | 0.229369i | |||||
0 | 0 | |||||||||
8.85279 | + | 6.43193i | 0.297415 | + | 0.216085i | |||||
−3.59194 | + | 11.0549i | −0.120606 | + | 0.371186i | −0.993075 | − | 0.117483i | ||
0.872469 | + | 0.488669i | ||||||||
0 | 0 | |||||||||
1.96228 | − | 1.42568i | 0.0658128 | − | 0.0478158i | |||||
7.64868 | 0.256384 | |||||||||
0 | 0 | |||||||||
−22.6787 | −0.759338 | |||||||||
−21.1881 | + | 15.3941i | −0.709034 | + | 0.515143i | |||||
0 | 0 | |||||||||
7.77747 | − | 23.9366i | 0.259972 | − | 0.800112i | |||||
0.724335 | + | 0.526260i | 0.0241983 | + | 0.0175811i | |||||
0 | 0 | |||||||||
6.73758 | − | 20.7361i | 0.224836 | − | 0.691974i | |||||
12.3885 | + | 38.1277i | 0.413178 | + | 1.27163i | |||||
0 | 0 | |||||||||
−21.9904 | −0.732608 | |||||||||
16.8171 | + | 3.23772i | 0.559949 | + | 0.107804i | |||||
0 | 0 | |||||||||
−5.64300 | + | 4.09988i | −0.187683 | + | 0.136360i | |||||
3.95611 | + | 12.1757i | 0.131506 | + | 0.404733i | |||||
0 | 0 | |||||||||
−24.3910 | − | 17.7211i | −0.809891 | − | 0.588420i | 0.103908 | − | 0.994587i | ||
−0.913799 | + | 0.406167i | ||||||||
1.94041 | + | 1.40979i | 0.0643948 | + | 0.0467856i | |||||
0 | 0 | |||||||||
−1.45278 | − | 4.47119i | −0.0481591 | − | 0.148218i | |||||
−18.8165 | + | 13.6710i | −0.623419 | + | 0.452941i | −0.854114 | − | 0.520086i | ||
0.230695 | + | 0.973026i | ||||||||
0 | 0 | |||||||||
17.3710 | + | 3.34436i | 0.574896 | + | 0.110682i | |||||
41.0556 | 1.35800 | |||||||||
0 | 0 | |||||||||
−5.59955 | − | 17.2337i | −0.185014 | − | 0.569416i | |||||
−2.67259 | + | 8.22539i | −0.0882567 | + | 0.271626i | |||||
0 | 0 | |||||||||
−19.1223 | − | 13.8932i | −0.630787 | − | 0.458294i | 0.225886 | − | 0.974154i | ||
−0.856673 | + | 0.515860i | ||||||||
−2.65736 | + | 8.17851i | −0.0876105 | + | 0.269637i | |||||
0 | 0 | |||||||||
16.8641 | − | 12.2525i | 0.555391 | − | 0.403515i | |||||
36.5793 | 1.20402 | |||||||||
0 | 0 | |||||||||
−14.0616 | −0.462342 | |||||||||
−14.2625 | + | 10.3623i | −0.468694 | + | 0.340526i | |||||
0 | 0 | |||||||||
−11.4574 | + | 35.2624i | −0.376109 | + | 1.15755i | |||||
−44.0297 | − | 31.9895i | −1.44457 | − | 1.04954i | −0.987063 | − | 0.160335i | ||
−0.457506 | − | 0.889206i | ||||||||
0 | 0 | |||||||||
4.11309 | − | 12.6588i | 0.134801 | − | 0.414875i | |||||
−3.63216 | − | 11.1786i | −0.118975 | − | 0.366168i | |||||
0 | 0 | |||||||||
31.2696 | 1.02317 | |||||||||
9.88070 | + | 10.5578i | 0.323133 | + | 0.345278i | |||||
0 | 0 | |||||||||
−21.9192 | + | 15.9253i | −0.716070 | + | 0.520255i | −0.885126 | − | 0.465351i | ||
0.169056 | + | 0.985606i | ||||||||
4.37545 | + | 13.4662i | 0.142863 | + | 0.439689i | |||||
0 | 0 | |||||||||
7.83452 | + | 5.69211i | 0.255534 | + | 0.185656i | |||||
−29.7676 | − | 21.6274i | −0.970396 | − | 0.705034i | −0.0148540 | − | 0.999890i | ||
−0.955542 | + | 0.294856i | ||||||||
0 | 0 | |||||||||
3.43196 | + | 10.5625i | 0.111760 | + | 0.343962i | |||||
13.4982 | − | 9.80702i | 0.439329 | − | 0.319191i | |||||
0 | 0 | |||||||||
−12.8654 | + | 23.3079i | −0.418289 | + | 0.757806i | |||||
59.0290 | 1.91819 | 0.959093 | − | 0.283093i | ||||||
0.959093 | + | 0.283093i | ||||||||
0 | 0 | |||||||||
−10.9696 | − | 33.7609i | −0.356087 | − | 1.09592i | |||||
−3.29543 | + | 10.1423i | −0.106918 | + | 0.329060i | |||||
0 | 0 | |||||||||
−13.4458 | − | 9.76894i | −0.435781 | − | 0.316613i | |||||
12.3238 | − | 37.9287i | 0.399206 | − | 1.22863i | −0.526431 | − | 0.850218i | ||
0.925637 | − | 0.378413i | ||||||||
0 | 0 | |||||||||
−20.5026 | + | 14.8960i | −0.663449 | + | 0.482024i | |||||
17.4794 | 0.565325 | |||||||||
0 | 0 | |||||||||
−16.5224 | −0.533814 | |||||||||
−26.8456 | + | 19.5045i | −0.866890 | + | 0.629832i | |||||
0 | 0 | |||||||||
−2.35738 | + | 7.25526i | −0.0760445 | + | 0.234041i | |||||
8.13718 | + | 5.91201i | 0.262353 | + | 0.190611i | |||||
0 | 0 | |||||||||
7.03081 | − | 21.6386i | 0.226447 | − | 0.696932i | |||||
2.27312 | + | 6.99596i | 0.0731745 | + | 0.225208i | |||||
0 | 0 | |||||||||
−22.3285 | −0.718037 | −0.359019 | − | 0.933330i | ||||||
−0.359019 | + | 0.933330i | ||||||||
31.1833 | + | 12.4693i | 1.00227 | + | 0.400779i | |||||
0 | 0 | |||||||||
9.01156 | − | 6.54728i | 0.289344 | − | 0.210220i | |||||
5.35373 | + | 16.4771i | 0.171809 | + | 0.528775i | 0.999473 | − | 0.0324490i | ||
−0.827664 | + | 0.561224i | ||||||||
0 | 0 | |||||||||
−26.1155 | − | 18.9740i | −0.837223 | − | 0.608278i | |||||
−3.34542 | − | 2.43059i | −0.107194 | − | 0.0778811i | |||||
0 | 0 | |||||||||
0.290408 | + | 0.893783i | 0.00929573 | + | 0.0286093i | |||||
−16.2968 | + | 11.8404i | −0.521382 | + | 0.378806i | −0.817124 | − | 0.576461i | ||
0.295742 | + | 0.955268i | ||||||||
0 | 0 | |||||||||
17.5416 | − | 8.21799i | 0.560631 | − | 0.262648i | |||||
−4.92160 | −0.157215 | |||||||||
0 | 0 | |||||||||
−2.39234 | − | 7.36286i | −0.0763425 | − | 0.234958i | |||||
7.71806 | − | 23.7537i | 0.246168 | − | 0.757627i | −0.749274 | − | 0.662260i | ||
0.995442 | − | 0.0953671i | ||||||||
0 | 0 | |||||||||
1.40831 | + | 1.02320i | 0.0448726 | + | 0.0326018i | |||||
9.70841 | − | 29.8794i | 0.309179 | − | 0.951555i | |||||
0 | 0 | |||||||||
−4.67496 | + | 3.39655i | −0.148730 | + | 0.108059i | |||||
−17.2648 | −0.548987 | |||||||||
0 | 0 | |||||||||
−3.49555 | −0.111040 | −0.0555199 | − | 0.998458i | ||||||
−0.0555199 | + | 0.998458i | ||||||||
17.4869 | − | 12.7050i | 0.555209 | − | 0.403383i | |||||
0 | 0 | |||||||||
7.89127 | − | 24.2868i | 0.250296 | − | 0.770331i | |||||
6.03201 | + | 4.38251i | 0.191227 | + | 0.138935i | |||||
0 | 0 | |||||||||
2.27585 | − | 7.00435i | 0.0720770 | − | 0.221830i | −0.908528 | − | 0.417823i | ||
0.980605 | + | 0.195993i | ||||||||
−11.8332 | − | 36.4188i | −0.374573 | − | 1.15282i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 297.2.f.c.190.3 | yes | 16 | |
3.2 | odd | 2 | inner | 297.2.f.c.190.2 | yes | 16 | |
9.2 | odd | 6 | 891.2.n.g.190.3 | 32 | |||
9.4 | even | 3 | 891.2.n.g.784.3 | 32 | |||
9.5 | odd | 6 | 891.2.n.g.784.2 | 32 | |||
9.7 | even | 3 | 891.2.n.g.190.2 | 32 | |||
11.2 | odd | 10 | 3267.2.a.bh.1.6 | 8 | |||
11.4 | even | 5 | inner | 297.2.f.c.136.3 | yes | 16 | |
11.9 | even | 5 | 3267.2.a.bg.1.3 | 8 | |||
33.2 | even | 10 | 3267.2.a.bh.1.3 | 8 | |||
33.20 | odd | 10 | 3267.2.a.bg.1.6 | 8 | |||
33.26 | odd | 10 | inner | 297.2.f.c.136.2 | ✓ | 16 | |
99.4 | even | 15 | 891.2.n.g.136.2 | 32 | |||
99.59 | odd | 30 | 891.2.n.g.136.3 | 32 | |||
99.70 | even | 15 | 891.2.n.g.433.3 | 32 | |||
99.92 | odd | 30 | 891.2.n.g.433.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.f.c.136.2 | ✓ | 16 | 33.26 | odd | 10 | inner | |
297.2.f.c.136.3 | yes | 16 | 11.4 | even | 5 | inner | |
297.2.f.c.190.2 | yes | 16 | 3.2 | odd | 2 | inner | |
297.2.f.c.190.3 | yes | 16 | 1.1 | even | 1 | trivial | |
891.2.n.g.136.2 | 32 | 99.4 | even | 15 | |||
891.2.n.g.136.3 | 32 | 99.59 | odd | 30 | |||
891.2.n.g.190.2 | 32 | 9.7 | even | 3 | |||
891.2.n.g.190.3 | 32 | 9.2 | odd | 6 | |||
891.2.n.g.433.2 | 32 | 99.92 | odd | 30 | |||
891.2.n.g.433.3 | 32 | 99.70 | even | 15 | |||
891.2.n.g.784.2 | 32 | 9.5 | odd | 6 | |||
891.2.n.g.784.3 | 32 | 9.4 | even | 3 | |||
3267.2.a.bg.1.3 | 8 | 11.9 | even | 5 | |||
3267.2.a.bg.1.6 | 8 | 33.20 | odd | 10 | |||
3267.2.a.bh.1.3 | 8 | 33.2 | even | 10 | |||
3267.2.a.bh.1.6 | 8 | 11.2 | odd | 10 |