Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [368,2,Mod(93,368)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(368, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("368.93");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 368.j (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 277.6 | ||
Character | 368.277 | ||
Dual form | 368.2.j.d.93.6 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.408999 | + | 1.35378i | −0.289206 | + | 0.957267i | |||||
−1.35709 | + | 1.35709i | −0.783514 | + | 0.783514i | −0.980422 | − | 0.196908i | ||
0.196908 | + | 0.980422i | ||||||||
−1.66544 | − | 1.10739i | −0.832720 | − | 0.553694i | |||||
−0.944781 | − | 0.944781i | −0.422519 | − | 0.422519i | 0.463551 | − | 0.886070i | ||
−0.886070 | + | 0.463551i | ||||||||
−1.28215 | − | 2.39224i | −0.523436 | − | 0.976629i | |||||
− | 1.03914i | − | 0.392757i | −0.980528 | − | 0.196379i | ||||
0.980528 | − | 0.196379i | ||||||||
2.18032 | − | 1.80172i | 0.770860 | − | 0.637004i | |||||
− | 0.683369i | − | 0.227790i | |||||||
1.66544 | − | 0.892612i | 0.526658 | − | 0.282269i | |||||
−2.32083 | − | 2.32083i | −0.699757 | − | 0.699757i | 0.264601 | − | 0.964358i | ||
−0.964358 | + | 0.264601i | ||||||||
3.76297 | − | 0.757325i | 1.08628 | − | 0.218621i | |||||
3.04566 | − | 3.04566i | 0.844715 | − | 0.844715i | −0.144753 | − | 0.989468i | ||
0.989468 | + | 0.144753i | ||||||||
1.40676 | + | 0.425006i | 0.375974 | + | 0.113588i | |||||
2.56430 | 0.662100 | |||||||||
1.54738 | + | 3.68858i | 0.386846 | + | 0.922144i | |||||
2.64059 | 0.640438 | 0.320219 | − | 0.947344i | ||||||
0.320219 | + | 0.947344i | ||||||||
0.925131 | + | 0.279497i | 0.218056 | + | 0.0658781i | |||||
−0.723364 | + | 0.723364i | −0.165951 | + | 0.165951i | −0.785197 | − | 0.619246i | ||
0.619246 | + | 0.785197i | ||||||||
0.527237 | + | 2.61972i | 0.117894 | + | 0.585786i | |||||
1.41020 | + | 1.41020i | 0.307731 | + | 0.307731i | |||||
4.09111 | − | 2.19268i | 0.872228 | − | 0.467480i | |||||
1.00000i | 0.208514i | |||||||||
−0.513797 | + | 5.40398i | −0.104878 | + | 1.10308i | |||||
− | 3.21478i | − | 0.642955i | |||||||
2.87749 | + | 5.36883i | 0.564322 | + | 1.05291i | |||||
−3.14387 | − | 3.14387i | −0.605038 | − | 0.605038i | |||||
−1.15073 | + | 1.73062i | −0.217467 | + | 0.327057i | |||||
2.38258 | − | 2.38258i | 0.442433 | − | 0.442433i | −0.450396 | − | 0.892829i | ||
0.892829 | + | 0.450396i | ||||||||
−1.04880 | + | 3.47150i | −0.191483 | + | 0.633806i | |||||
4.88133 | 0.876712 | 0.438356 | − | 0.898801i | ||||||
0.438356 | + | 0.898801i | ||||||||
−5.62640 | + | 0.586193i | −0.994616 | + | 0.103625i | |||||
6.29914 | 1.09654 | |||||||||
−1.08000 | + | 3.57478i | −0.185218 | + | 0.613070i | |||||
−0.981759 | + | 0.981759i | −0.165947 | + | 0.165947i | |||||
−0.756755 | + | 1.13811i | −0.126126 | + | 0.189685i | |||||
1.04169 | + | 1.04169i | 0.171253 | + | 0.171253i | 0.787530 | − | 0.616277i | ||
−0.616277 | + | 0.787530i | ||||||||
−0.683421 | − | 1.27513i | −0.110865 | − | 0.206853i | |||||
8.26646i | 1.32369i | |||||||||
−3.76216 | − | 0.357697i | −0.594850 | − | 0.0565569i | |||||
− | 2.62724i | − | 0.410306i | −0.978730 | − | 0.205153i | ||||
0.978730 | − | 0.205153i | ||||||||
−2.48587 | + | 1.33233i | −0.383578 | + | 0.205583i | |||||
−2.55653 | − | 2.55653i | −0.389867 | − | 0.389867i | 0.484773 | − | 0.874640i | ||
−0.874640 | + | 0.484773i | ||||||||
1.29514 | + | 6.43527i | 0.195250 | + | 0.970153i | |||||
−0.645634 | + | 0.645634i | −0.0962455 | + | 0.0962455i | |||||
−1.35378 | − | 0.408999i | −0.199604 | − | 0.0603036i | |||||
−0.736160 | −0.107380 | −0.0536900 | − | 0.998558i | ||||||
−0.0536900 | + | 0.998558i | ||||||||
−7.10565 | − | 2.90579i | −1.02561 | − | 0.419414i | |||||
5.92019 | 0.845742 | |||||||||
4.35210 | + | 1.31484i | 0.615480 | + | 0.185946i | |||||
−3.58351 | + | 3.58351i | −0.501792 | + | 0.501792i | |||||
−8.44511 | + | 1.69964i | −1.17113 | + | 0.235698i | |||||
−6.95536 | − | 6.95536i | −0.955392 | − | 0.955392i | 0.0436542 | − | 0.999047i | ||
−0.999047 | + | 0.0436542i | ||||||||
5.54195 | − | 2.97027i | 0.754163 | − | 0.404202i | |||||
4.38536i | 0.591321i | |||||||||
−1.87224 | − | 2.26566i | −0.250188 | − | 0.302761i | |||||
− | 1.96334i | − | 0.260050i | |||||||
2.25101 | + | 4.19995i | 0.295572 | + | 0.551481i | |||||
−7.67379 | − | 7.67379i | −0.999043 | − | 0.999043i | 0.000956675 | − | 1.00000i | ||
−1.00000 | 0.000956675i | |||||||||
−4.27069 | − | 2.83968i | −0.551344 | − | 0.366601i | |||||
6.85611 | − | 6.85611i | 0.877834 | − | 0.877834i | −0.115476 | − | 0.993310i | ||
0.993310 | + | 0.115476i | ||||||||
−1.99646 | + | 6.60824i | −0.253550 | + | 0.839248i | |||||
−0.710115 | −0.0894661 | |||||||||
1.50761 | − | 7.85666i | 0.188452 | − | 0.982082i | |||||
−5.75497 | −0.713817 | |||||||||
−2.57634 | + | 8.52765i | −0.317125 | + | 1.04968i | |||||
5.25714 | − | 5.25714i | 0.642261 | − | 0.642261i | −0.308850 | − | 0.951111i | ||
0.951111 | + | 0.308850i | ||||||||
−4.39775 | − | 2.92416i | −0.533305 | − | 0.354607i | |||||
−1.35709 | − | 1.35709i | −0.163374 | − | 0.163374i | |||||
−0.927547 | − | 1.73062i | −0.110863 | − | 0.206849i | |||||
1.12865i | 0.133946i | 0.997755 | + | 0.0669728i | ||||||
−0.997755 | + | 0.0669728i | ||||||||
−1.23124 | − | 1.48997i | −0.145103 | − | 0.175594i | |||||
− | 14.8204i | − | 1.73459i | −0.497791 | − | 0.867297i | ||||
0.497791 | − | 0.867297i | ||||||||
−1.83627 | + | 0.984169i | −0.213462 | + | 0.114407i | |||||
4.36273 | + | 4.36273i | 0.503765 | + | 0.503765i | |||||
2.00576 | − | 0.403675i | 0.230077 | − | 0.0463047i | |||||
−2.41166 | + | 2.41166i | −0.274835 | + | 0.274835i | |||||
−11.1910 | − | 3.38097i | −1.26713 | − | 0.382820i | |||||
6.88664 | 0.774807 | 0.387403 | − | 0.921910i | ||||||
0.387403 | + | 0.921910i | ||||||||
2.02296 | − | 4.94684i | 0.226174 | − | 0.553073i | |||||
10.5831 | 1.17590 | |||||||||
3.55671 | + | 1.07454i | 0.392773 | + | 0.118663i | |||||
−7.58934 | + | 7.58934i | −0.833039 | + | 0.833039i | −0.987931 | − | 0.154893i | ||
0.154893 | + | 0.987931i | ||||||||
−0.786966 | − | 3.91025i | −0.0858650 | − | 0.426643i | |||||
−2.49478 | − | 2.49478i | −0.270597 | − | 0.270597i | |||||
4.50659 | − | 2.41536i | 0.485958 | − | 0.260455i | |||||
6.46672i | 0.693306i | |||||||||
−9.24165 | − | 0.878674i | −0.985163 | − | 0.0936669i | |||||
7.82916i | 0.829889i | 0.909847 | + | 0.414944i | ||||||
−0.909847 | + | 0.414944i | ||||||||
−0.609983 | − | 1.13811i | −0.0642979 | − | 0.119967i | |||||
−3.16487 | − | 3.16487i | −0.331768 | − | 0.331768i | |||||
1.10739 | − | 1.66544i | 0.115453 | − | 0.173634i | |||||
−6.62438 | + | 6.62438i | −0.686917 | + | 0.686917i | |||||
0.301089 | − | 0.996599i | 0.0310549 | − | 0.102791i | |||||
1.36684 | 0.140235 | |||||||||
6.84000 | − | 8.43103i | 0.698104 | − | 0.860488i | |||||
−14.5175 | −1.47403 | −0.737013 | − | 0.675878i | ||||||
−0.737013 | + | 0.675878i | ||||||||
−2.42135 | + | 8.01464i | −0.244593 | + | 0.809601i | |||||
−1.58598 | + | 1.58598i | −0.159397 | + | 0.159397i | |||||
−3.56001 | + | 5.35402i | −0.356001 | + | 0.535402i | |||||
−2.65938 | − | 2.65938i | −0.264619 | − | 0.264619i | 0.562309 | − | 0.826927i | ||
−0.826927 | + | 0.562309i | ||||||||
−3.38564 | − | 6.31694i | −0.335228 | − | 0.625470i | |||||
5.78991i | 0.570497i | 0.958454 | + | 0.285248i | ||||||
−0.958454 | + | 0.285248i | ||||||||
1.15310 | − | 12.1280i | 0.113071 | − | 1.18924i | |||||
− | 2.66466i | − | 0.260044i | |||||||
12.2608 | − | 6.57130i | 1.19087 | − | 0.638261i | |||||
−2.22067 | − | 2.22067i | −0.214680 | − | 0.214680i | 0.591572 | − | 0.806252i | ||
−0.806252 | + | 0.591572i | ||||||||
1.75444 | + | 8.71741i | 0.168821 | + | 0.838833i | |||||
−9.38645 | + | 9.38645i | −0.899059 | + | 0.899059i | −0.995353 | − | 0.0962942i | ||
0.0962942 | + | 0.995353i | ||||||||
−5.93681 | − | 1.79360i | −0.566052 | − | 0.171013i | |||||
−2.82733 | −0.268358 | |||||||||
3.83294 | − | 1.60794i | 0.362179 | − | 0.151937i | |||||
1.89466 | 0.178234 | 0.0891172 | − | 0.996021i | ||||||
0.0891172 | + | 0.996021i | ||||||||
2.65792 | + | 0.803001i | 0.248937 | + | 0.0752080i | |||||
0.944781 | − | 0.944781i | 0.0881013 | − | 0.0881013i | |||||
−6.60647 | + | 1.32960i | −0.613396 | + | 0.123450i | |||||
−2.08131 | − | 2.08131i | −0.192417 | − | 0.192417i | |||||
13.5272 | − | 7.25006i | 1.24528 | − | 0.667422i | |||||
− | 2.74394i | − | 0.251537i | |||||||
5.59100 | − | 4.62015i | 0.510386 | − | 0.421760i | |||||
− | 0.227490i | − | 0.0206809i | |||||||
6.47752 | + | 12.0858i | 0.586447 | + | 1.09420i | |||||
3.56540 | + | 3.56540i | 0.321481 | + | 0.321481i | |||||
−8.12956 | − | 5.40552i | −0.730056 | − | 0.485430i | |||||
−7.76117 | + | 7.76117i | −0.694180 | + | 0.694180i | |||||
0.290436 | − | 0.961340i | 0.0258741 | − | 0.0856429i | |||||
1.62302 | 0.144019 | 0.0720096 | − | 0.997404i | ||||||
0.0720096 | + | 0.997404i | ||||||||
10.0196 | + | 5.25434i | 0.885614 | + | 0.464422i | |||||
6.93886 | 0.610933 | |||||||||
2.35378 | − | 7.79097i | 0.206440 | − | 0.683313i | |||||
0.00207687 | − | 0.00207687i | 0.000181457 | − | 0.000181457i | −0.707016 | − | 0.707198i | ||
0.707198 | + | 0.707016i | ||||||||
−10.4908 | − | 6.97559i | −0.913110 | − | 0.607147i | |||||
0.751675 | + | 0.751675i | 0.0651785 | + | 0.0651785i | |||||
4.96684 | + | 9.26717i | 0.429070 | + | 0.800561i | |||||
5.94054i | 0.511280i | |||||||||
5.75734 | − | 4.75761i | 0.493688 | − | 0.407961i | |||||
9.54941i | 0.815861i | 0.913013 | + | 0.407931i | ||||||
−0.913013 | + | 0.407931i | ||||||||
2.39224 | − | 1.28215i | 0.203641 | − | 0.109144i | |||||
9.01775 | + | 9.01775i | 0.764876 | + | 0.764876i | 0.977199 | − | 0.212324i | ||
−0.212324 | + | 0.977199i | ||||||||
2.72225 | − | 0.547872i | 0.230072 | − | 0.0463037i | |||||
0.999033 | − | 0.999033i | 0.0841338 | − | 0.0841338i | |||||
−1.52794 | − | 0.461615i | −0.128222 | − | 0.0387378i | |||||
−14.1369 | −1.18219 | |||||||||
2.52066 | − | 1.05743i | 0.210055 | − | 0.0881195i | |||||
−4.50203 | −0.373873 | |||||||||
20.0635 | + | 6.06151i | 1.66047 | + | 0.501654i | |||||
−8.03421 | + | 8.03421i | −0.662651 | + | 0.662651i | |||||
−0.581317 | − | 2.88843i | −0.0477840 | − | 0.237427i | |||||
11.5838 | + | 11.5838i | 0.948985 | + | 0.948985i | 0.998760 | − | 0.0497750i | ||
−0.0497750 | + | 0.998760i | ||||||||
−7.69053 | + | 4.12183i | −0.627929 | + | 0.336546i | |||||
− | 22.2288i | − | 1.80895i | −0.426522 | − | 0.904477i | ||||
0.426522 | − | 0.904477i | ||||||||
−0.273868 | + | 2.88047i | −0.0222136 | + | 0.233637i | |||||
− | 1.80450i | − | 0.145885i | |||||||
−2.27850 | − | 4.25123i | −0.183606 | − | 0.342574i | |||||
−4.61179 | − | 4.61179i | −0.370428 | − | 0.370428i | |||||
9.15418 | − | 13.7673i | 0.732921 | − | 1.10227i | |||||
−11.9676 | + | 11.9676i | −0.955119 | + | 0.955119i | −0.999035 | − | 0.0439160i | ||
0.0439160 | + | 0.999035i | ||||||||
−2.81662 | + | 9.32299i | −0.224079 | + | 0.741697i | |||||
18.8781 | 1.49713 | |||||||||
5.86954 | + | 4.76189i | 0.464028 | + | 0.376461i | |||||
1.03914 | 0.0818956 | |||||||||
−4.32848 | + | 14.3272i | −0.340077 | + | 1.12565i | |||||
6.67263 | − | 6.67263i | 0.522641 | − | 0.522641i | −0.395727 | − | 0.918368i | ||
0.918368 | + | 0.395727i | ||||||||
−2.90938 | + | 4.37552i | −0.227184 | + | 0.341670i | |||||
−5.95131 | − | 5.95131i | −0.463309 | − | 0.463309i | |||||
−7.17027 | − | 13.3783i | −0.556521 | − | 1.03836i | |||||
16.4261i | 1.27109i | 0.772062 | + | 0.635547i | ||||||
−0.772062 | + | 0.635547i | ||||||||
5.61548 | + | 0.533907i | 0.433244 | + | 0.0411918i | |||||
− | 5.55215i | − | 0.427088i | |||||||
4.39775 | − | 2.35702i | 0.337292 | − | 0.180775i | |||||
0.494325 | + | 0.494325i | 0.0378019 | + | 0.0378019i | |||||
1.42668 | + | 7.08881i | 0.108783 | + | 0.540517i | |||||
0.408306 | − | 0.408306i | 0.0310429 | − | 0.0310429i | −0.691415 | − | 0.722458i | ||
0.722458 | + | 0.691415i | ||||||||
−8.75452 | − | 2.64488i | −0.663679 | − | 0.200508i | |||||
−3.34060 | −0.252525 | |||||||||
4.96935 | − | 12.1518i | 0.374579 | − | 0.915975i | |||||
20.8280 | 1.56553 | |||||||||
−10.5990 | − | 3.20211i | −0.794425 | − | 0.240009i | |||||
0.793254 | − | 0.793254i | 0.0592906 | − | 0.0592906i | −0.676840 | − | 0.736130i | ||
0.736130 | + | 0.676840i | ||||||||
1.79023 | − | 0.360298i | 0.133436 | − | 0.0268550i | |||||
4.26161 | + | 4.26161i | 0.316763 | + | 0.316763i | 0.847522 | − | 0.530760i | ||
−0.530760 | + | 0.847522i | ||||||||
5.57896 | − | 2.99011i | 0.413540 | − | 0.221641i | |||||
18.6087i | 1.37559i | |||||||||
1.80172 | + | 2.18032i | 0.132825 | + | 0.160736i | |||||
− | 1.96834i | − | 0.144715i | |||||||
−6.25859 | − | 11.6773i | −0.458902 | − | 0.856223i | |||||
−6.12837 | − | 6.12837i | −0.448151 | − | 0.448151i | |||||
1.22603 | + | 0.815215i | 0.0894175 | + | 0.0594557i | |||||
−3.26691 | + | 3.26691i | −0.237633 | + | 0.237633i | |||||
−0.559036 | + | 1.85040i | −0.0405568 | + | 0.134242i | |||||
−17.9897 | −1.30169 | −0.650846 | − | 0.759210i | ||||||
−0.650846 | + | 0.759210i | ||||||||
8.61621 | + | 12.7081i | 0.621821 | + | 0.917130i | |||||
6.61497 | 0.476156 | 0.238078 | − | 0.971246i | ||||||
0.238078 | + | 0.971246i | ||||||||
5.93763 | − | 19.6535i | 0.426297 | − | 1.41104i | |||||
7.81000 | − | 7.81000i | 0.559286 | − | 0.559286i | |||||
−9.85973 | − | 6.55595i | −0.704266 | − | 0.468282i | |||||
10.7577 | + | 10.7577i | 0.766455 | + | 0.766455i | 0.977480 | − | 0.211026i | ||
−0.211026 | + | 0.977480i | ||||||||
−1.49841 | − | 2.79574i | −0.106487 | − | 0.198685i | |||||
9.31387i | 0.660242i | 0.943939 | + | 0.330121i | ||||||
−0.943939 | + | 0.330121i | ||||||||
−5.79213 | − | 7.00925i | −0.409565 | − | 0.495629i | |||||
14.2688i | 1.00644i | |||||||||
4.68791 | − | 2.51254i | 0.329840 | − | 0.176781i | |||||
−2.47583 | − | 2.47583i | −0.173769 | − | 0.173769i | |||||
9.93647 | − | 1.99979i | 0.695692 | − | 0.140013i | |||||
−2.48217 | + | 2.48217i | −0.173362 | + | 0.173362i | |||||
−7.83826 | − | 2.36806i | −0.546118 | − | 0.164991i | |||||
0.683369 | 0.0474974 | |||||||||
15.9470 | + | 6.52136i | 1.10572 | + | 0.452175i | |||||
3.35761 | 0.232251 | |||||||||
3.60737 | + | 1.08984i | 0.248932 | + | 0.0752063i | |||||
18.8579 | − | 18.8579i | 1.29823 | − | 1.29823i | 0.368669 | − | 0.929561i | ||
0.929561 | − | 0.368669i | ||||||||
3.88145 | + | 19.2860i | 0.266579 | + | 1.32457i | |||||
−1.53167 | − | 1.53167i | −0.104948 | − | 0.104948i | |||||
3.91455 | − | 2.09805i | 0.267593 | − | 0.143420i | |||||
4.83072i | 0.329452i | |||||||||
−12.5190 | − | 1.19028i | −0.851811 | − | 0.0809882i | |||||
− | 5.07237i | − | 0.344335i | |||||||
−8.86814 | − | 16.5462i | −0.600626 | − | 1.12065i | |||||
20.1125 | + | 20.1125i | 1.35908 | + | 1.35908i | |||||
4.85629 | − | 7.30355i | 0.327411 | − | 0.492405i | |||||
8.04236 | − | 8.04236i | 0.540988 | − | 0.540988i | |||||
1.15637 | − | 3.82758i | 0.0776107 | − | 0.256890i | |||||
−13.8120 | −0.924923 | −0.462461 | − | 0.886639i | ||||||
−0.462461 | + | 0.886639i | ||||||||
0.609135 | + | 5.84661i | 0.0406996 | + | 0.390643i | |||||
−2.19688 | −0.146459 | |||||||||
−0.774913 | + | 2.56495i | −0.0515464 | + | 0.170618i | |||||
1.69489 | − | 1.69489i | 0.112494 | − | 0.112494i | −0.648619 | − | 0.761113i | ||
0.761113 | + | 0.648619i | ||||||||
−2.17417 | + | 3.26982i | −0.143988 | + | 0.216549i | |||||
12.9935 | + | 12.9935i | 0.858636 | + | 0.858636i | 0.991177 | − | 0.132542i | ||
−0.132542 | + | 0.991177i | ||||||||
0.892612 | + | 1.66544i | 0.0588571 | + | 0.109816i | |||||
− | 6.54568i | − | 0.430674i | |||||||
0.902051 | − | 9.48752i | 0.0592225 | − | 0.622886i | |||||
− | 20.6606i | − | 1.35352i | −0.736202 | − | 0.676762i | ||||
0.736202 | − | 0.676762i | ||||||||
3.66889 | − | 1.96639i | 0.239843 | − | 0.128547i | |||||
0.695511 | + | 0.695511i | 0.0453701 | + | 0.0453701i | |||||
4.28238 | + | 21.2781i | 0.278759 | + | 1.38509i | |||||
−9.34576 | + | 9.34576i | −0.607072 | + | 0.607072i | |||||
3.71469 | + | 1.12227i | 0.240788 | + | 0.0727458i | |||||
23.3888 | 1.51290 | 0.756448 | − | 0.654054i | ||||||
0.756448 | + | 0.654054i | ||||||||
3.96795 | + | 9.45862i | 0.256130 | + | 0.610551i | |||||
3.48282 | 0.224348 | 0.112174 | − | 0.993689i | ||||||
0.112174 | + | 0.993689i | ||||||||
0.307972 | + | 0.0930431i | 0.0197972 | + | 0.00598104i | |||||
−4.93060 | + | 4.93060i | −0.316298 | + | 0.316298i | |||||
−19.0108 | + | 3.82606i | −1.21704 | + | 0.244939i | |||||
−5.59329 | − | 5.59329i | −0.357342 | − | 0.357342i | |||||
−6.28501 | + | 3.36852i | −0.400717 | + | 0.214769i | |||||
4.40625i | 0.280363i | |||||||||
10.6429 | − | 8.79478i | 0.675823 | − | 0.558469i | |||||
− | 20.5988i | − | 1.30540i | |||||||
−7.33261 | − | 13.6812i | −0.463755 | − | 0.865276i | |||||
−20.7487 | − | 20.7487i | −1.30964 | − | 1.30964i | −0.921670 | − | 0.387974i | ||
−0.387974 | − | 0.921670i | ||||||||
1.18265 | + | 0.786373i | 0.0745002 | + | 0.0495368i | |||||
2.32083 | − | 2.32083i | 0.145909 | − | 0.145909i | |||||
−0.663811 | + | 2.19721i | −0.0416512 | + | 0.137865i | |||||
6.77127 | 0.424034 | |||||||||
−11.2112 | + | 11.4153i | −0.700701 | + | 0.713455i | |||||
−2.99626 | −0.186901 | −0.0934507 | − | 0.995624i | ||||||
−0.0934507 | + | 0.995624i | ||||||||
−2.83798 | + | 9.39369i | −0.176685 | + | 0.584826i | |||||
1.08246 | − | 1.08246i | 0.0672608 | − | 0.0672608i | |||||
9.58457 | + | 6.37299i | 0.594410 | + | 0.395236i | |||||
−1.62818 | − | 1.62818i | −0.100782 | − | 0.100782i | |||||
0.00196218 | + | 0.00366105i | 0.000121224 | + | 0.000226181i | |||||
− | 12.6198i | − | 0.778170i | −0.921202 | − | 0.389085i | ||||
0.921202 | − | 0.389085i | ||||||||
13.7342 | − | 11.3493i | 0.845279 | − | 0.698500i | |||||
13.1426i | 0.807343i | |||||||||
−1.32504 | + | 0.710169i | −0.0812432 | + | 0.0435432i | |||||
−10.6248 | − | 10.6248i | −0.650230 | − | 0.650230i | |||||
−14.5771 | + | 2.93376i | −0.890440 | + | 0.179208i | |||||
−7.66183 | + | 7.66183i | −0.467150 | + | 0.467150i | −0.900990 | − | 0.433840i | ||
0.433840 | + | 0.900990i | ||||||||
−8.04218 | − | 2.42967i | −0.489432 | − | 0.147865i | |||||
14.6836 | 0.891965 | 0.445982 | − | 0.895042i | ||||||
0.445982 | + | 0.895042i | ||||||||
4.08601 | + | 9.74003i | 0.247751 | + | 0.590576i | |||||
8.59000 | 0.519890 | |||||||||
−12.9278 | − | 3.90570i | −0.780997 | − | 0.235952i | |||||
−7.46095 | + | 7.46095i | −0.449912 | + | 0.449912i | |||||
0.757325 | + | 3.76297i | 0.0455856 | + | 0.226504i | |||||
−1.64422 | − | 1.64422i | −0.0987914 | − | 0.0987914i | 0.655984 | − | 0.754775i | ||
−0.754775 | + | 0.655984i | ||||||||
−15.8963 | + | 8.51980i | −0.953397 | + | 0.510984i | |||||
− | 3.33575i | − | 0.199706i | |||||||
−0.371697 | + | 3.90940i | −0.0222131 | + | 0.233632i | |||||
0.247492i | 0.0147641i | 0.999973 | + | 0.00738207i | ||||||
−0.999973 | + | 0.00738207i | ||||||||
0.943868 | + | 1.76107i | 0.0562065 | + | 0.104870i | |||||
−17.4833 | − | 17.4833i | −1.03927 | − | 1.03927i | −0.999197 | − | 0.0400784i | ||
−0.0400784 | − | 0.999197i | ||||||||
1.24985 | − | 1.87969i | 0.0741649 | − | 0.111539i | |||||
−1.85492 | + | 1.85492i | −0.109876 | + | 0.109876i | |||||
5.78199 | − | 19.1383i | 0.341896 | − | 1.13167i | |||||
−2.73007 | −0.161151 | |||||||||
0.400586 | + | 3.84491i | 0.0236048 | + | 0.226563i | |||||
−10.0273 | −0.589840 | |||||||||
1.84132 | − | 6.09475i | 0.108126 | − | 0.357896i | |||||
19.7015 | − | 19.7015i | 1.15492 | − | 1.15492i | |||||
−16.4119 | + | 24.6825i | −0.960435 | + | 1.44443i | |||||
22.8784 | + | 22.8784i | 1.33657 | + | 1.33657i | 0.899358 | + | 0.437214i | ||
0.437214 | + | 0.899358i | ||||||||
−7.59058 | − | 14.1625i | −0.442691 | − | 0.825976i | |||||
14.5001i | 0.844229i | |||||||||
4.14805 | + | 0.394387i | 0.241101 | + | 0.0229233i | |||||
14.5928i | 0.846759i | |||||||||
−20.4198 | + | 10.9442i | −1.18288 | + | 0.633980i | |||||
3.04566 | + | 3.04566i | 0.176135 | + | 0.176135i | |||||
−2.43463 | − | 12.0971i | −0.140563 | − | 0.698427i | |||||
−2.65659 | + | 2.65659i | −0.153123 | + | 0.153123i | |||||
30.0929 | + | 9.09155i | 1.73165 | + | 0.523160i | |||||
7.21803 | 0.414665 | |||||||||
−3.78751 | − | 1.54886i | −0.217228 | − | 0.0888334i | |||||
−12.9550 | −0.741804 | |||||||||
2.44290 | + | 0.738038i | 0.139651 | + | 0.0421908i | |||||
−13.2707 | + | 13.2707i | −0.757399 | + | 0.757399i | −0.975848 | − | 0.218449i | ||
0.218449 | + | 0.975848i | ||||||||
6.68713 | − | 1.34583i | 0.381035 | − | 0.0766860i | |||||
−7.85741 | − | 7.85741i | −0.446992 | − | 0.446992i | |||||
8.12956 | − | 4.35713i | 0.461728 | − | 0.247468i | |||||
− | 25.7509i | − | 1.46020i | −0.683339 | − | 0.730101i | ||||
0.683339 | − | 0.730101i | ||||||||
14.8938 | + | 18.0236i | 0.843198 | + | 1.02038i | |||||
− | 23.6082i | − | 1.33441i | −0.744873 | − | 0.667206i | ||||
0.744873 | − | 0.667206i | ||||||||
−11.3068 | − | 21.0962i | −0.638078 | − | 1.19053i | |||||
0.670904 | + | 0.670904i | 0.0378011 | + | 0.0378011i | |||||
−11.4693 | − | 7.62618i | −0.645197 | − | 0.429006i | |||||
0.887639 | − | 0.887639i | 0.0498548 | − | 0.0498548i | −0.681740 | − | 0.731595i | ||
0.731595 | + | 0.681740i | ||||||||
−7.72110 | + | 25.5567i | −0.432978 | + | 1.43315i | |||||
−11.0591 | −0.619191 | |||||||||
−8.84719 | + | 5.99846i | −0.494573 | + | 0.335324i | |||||
6.02729 | 0.336410 | |||||||||
−0.425006 | + | 1.40676i | −0.0236847 | + | 0.0783959i | |||||
−1.91011 | + | 1.91011i | −0.106281 | + | 0.106281i | |||||
−17.6255 | − | 11.7196i | −0.979197 | − | 0.651090i | |||||
−9.79113 | − | 9.79113i | −0.543114 | − | 0.543114i | |||||
6.30418 | + | 11.7624i | 0.349156 | + | 0.651458i | |||||
− | 25.4765i | − | 1.40885i | |||||||
−4.73356 | − | 5.72824i | −0.261367 | − | 0.316289i | |||||
0.764972i | 0.0421743i | |||||||||
10.4908 | − | 5.62268i | 0.577502 | − | 0.309519i | |||||
22.2908 | + | 22.2908i | 1.22521 | + | 1.22521i | 0.965755 | + | 0.259456i | ||
0.259456 | + | 0.965755i | ||||||||
21.0439 | − | 4.23525i | 1.15494 | − | 0.232439i | |||||
0.711859 | − | 0.711859i | 0.0390096 | − | 0.0390096i | |||||
−22.2374 | − | 6.71827i | −1.21678 | − | 0.367607i | |||||
−9.93369 | −0.542735 | |||||||||
−3.01952 | + | 7.38376i | −0.164728 | + | 0.402817i | |||||
−15.3503 | −0.836183 | −0.418091 | − | 0.908405i | ||||||
−0.418091 | + | 0.908405i | ||||||||
7.51638 | + | 2.27082i | 0.408837 | + | 0.123516i | |||||
−2.57122 | + | 2.57122i | −0.139649 | + | 0.139649i | |||||
1.39222 | + | 6.91760i | 0.0755037 | + | 0.375160i | |||||
−11.3287 | − | 11.3287i | −0.613485 | − | 0.613485i | |||||
−0.871385 | + | 0.467029i | −0.0471191 | + | 0.0252540i | |||||
− | 13.4259i | − | 0.724929i | |||||||
−10.1802 | − | 0.967910i | −0.548880 | − | 0.0521862i | |||||
2.56430i | 0.138057i | |||||||||
0.385760 | + | 0.719753i | 0.0207386 | + | 0.0386942i | |||||
−8.55518 | − | 8.55518i | −0.459266 | − | 0.459266i | 0.439148 | − | 0.898415i | ||
−0.898415 | + | 0.439148i | ||||||||
7.16117 | − | 10.7699i | 0.383879 | − | 0.577330i | |||||
6.27907 | − | 6.27907i | 0.336111 | − | 0.336111i | −0.518791 | − | 0.854901i | ||
0.854901 | + | 0.518791i | ||||||||
1.36630 | − | 4.52243i | 0.0730318 | − | 0.241734i | |||||
−19.1503 | −1.02217 | |||||||||
14.4184 | + | 11.6975i | 0.768502 | + | 0.623477i | |||||
−30.2465 | −1.60986 | −0.804930 | − | 0.593370i | ||||||
−0.804930 | + | 0.593370i | ||||||||
−8.51863 | + | 28.1965i | −0.452760 | + | 1.49863i | |||||
1.06632 | − | 1.06632i | 0.0565946 | − | 0.0565946i | |||||
8.66991 | − | 13.0390i | 0.459505 | − | 0.691065i | |||||
3.72377 | + | 3.72377i | 0.197083 | + | 0.197083i | |||||
0.749452 | + | 1.39833i | 0.0396098 | + | 0.0739041i | |||||
− | 6.80471i | − | 0.359139i | −0.983745 | − | 0.179569i | ||||
0.983745 | − | 0.179569i | ||||||||
−0.244439 | + | 2.57094i | −0.0128831 | + | 0.135501i | |||||
17.9535i | 0.944920i | |||||||||
−7.51227 | + | 4.02629i | −0.394836 | + | 0.211617i | |||||
0.308724 | + | 0.308724i | 0.0162038 | + | 0.0162038i | |||||
1.76616 | + | 8.77563i | 0.0925720 | + | 0.459968i | |||||
−14.0020 | + | 14.0020i | −0.732899 | + | 0.732899i | |||||
−25.1920 | − | 7.61092i | −1.31681 | − | 0.397829i | |||||
17.0408 | 0.889523 | 0.444761 | − | 0.895649i | ||||||
0.444761 | + | 0.895649i | ||||||||
−3.68858 | + | 1.54738i | −0.192280 | + | 0.0806629i | |||||
−1.79538 | −0.0934636 | |||||||||
2.66470 | + | 0.805048i | 0.138531 | + | 0.0418524i | |||||
−7.22758 | + | 7.22758i | −0.375237 | + | 0.375237i | |||||
18.3683 | − | 3.69675i | 0.952351 | − | 0.191668i | |||||
−9.22733 | − | 9.22733i | −0.477773 | − | 0.477773i | 0.426646 | − | 0.904419i | ||
−0.904419 | + | 0.426646i | ||||||||
10.8030 | − | 5.78997i | 0.558607 | − | 0.299392i | |||||
− | 21.0652i | − | 1.08780i | |||||||
−1.60507 | + | 1.32635i | −0.0827750 | + | 0.0684015i | |||||
− | 14.5131i | − | 0.747460i | |||||||
−3.08652 | − | 5.75885i | −0.158753 | − | 0.296203i | |||||
22.6596 | + | 22.6596i | 1.16395 | + | 1.16395i | 0.983604 | + | 0.180342i | ||
0.180342 | + | 0.983604i | ||||||||
−2.27639 | − | 1.51362i | −0.116776 | − | 0.0776473i | |||||
−2.20257 | + | 2.20257i | −0.112841 | + | 0.112841i | |||||
7.35777 | − | 24.3541i | 0.376457 | − | 1.24607i | |||||
−12.2027 | −0.623531 | −0.311766 | − | 0.950159i | ||||||
−0.311766 | + | 0.950159i | ||||||||
−20.7280 | + | 6.46684i | −1.05777 | + | 0.330010i | |||||
4.55699 | 0.232246 | |||||||||
−2.70552 | + | 8.95522i | −0.137707 | + | 0.455809i | |||||
−1.74705 | + | 1.74705i | −0.0888077 | + | 0.0888077i | |||||
24.1780 | + | 16.0765i | 1.22745 | + | 0.816160i | |||||
13.4433 | + | 13.4433i | 0.681601 | + | 0.681601i | 0.960361 | − | 0.278760i | ||
−0.278760 | + | 0.960361i | ||||||||
7.37874 | + | 13.7673i | 0.373637 | + | 0.697134i | |||||
2.64059i | 0.133540i | |||||||||
12.9079 | − | 10.6665i | 0.651949 | − | 0.538741i | |||||
0.00563697i | 0.000284348i | |||||||||
−18.9634 | + | 10.1637i | −0.955365 | + | 0.512039i | |||||
−6.50636 | − | 6.50636i | −0.327371 | − | 0.327371i | |||||
4.39766 | − | 0.885062i | 0.220991 | − | 0.0444760i | |||||
5.80463 | − | 5.80463i | 0.291326 | − | 0.291326i | −0.546278 | − | 0.837604i | ||
0.837604 | + | 0.546278i | ||||||||
−12.6089 | − | 3.80936i | −0.632028 | − | 0.190946i | |||||
−2.04018 | −0.102137 | |||||||||
11.8580 | − | 4.97449i | 0.592898 | − | 0.248724i | |||||
29.9626 | 1.49626 | 0.748132 | − | 0.663550i | ||||||
0.748132 | + | 0.663550i | ||||||||
−19.3168 | − | 5.83591i | −0.963434 | − | 0.291069i | |||||
14.8669 | − | 14.8669i | 0.740572 | − | 0.740572i | |||||
1.48408 | + | 7.37402i | 0.0738355 | + | 0.366871i | |||||
−9.99873 | − | 9.99873i | −0.496841 | − | 0.496841i | |||||
4.36433 | − | 2.33911i | 0.216598 | − | 0.116088i | |||||
− | 4.83517i | − | 0.239671i | |||||||
−1.35673 | + | 14.2697i | −0.0671681 | + | 0.706455i | |||||
32.7649i | 1.62012i | 0.586348 | + | 0.810059i | ||||||
−0.586348 | + | 0.810059i | ||||||||
−2.34511 | − | 4.37552i | −0.115817 | − | 0.216091i | |||||
−12.9594 | − | 12.9594i | −0.639239 | − | 0.639239i | |||||
6.41168 | − | 9.64275i | 0.315881 | − | 0.475064i | |||||
−7.97413 | + | 7.97413i | −0.392381 | + | 0.392381i | |||||
−0.279497 | + | 0.925131i | −0.0137365 | + | 0.0454677i | |||||
14.3405 | 0.703949 | |||||||||
−15.3508 | + | 18.9215i | −0.752634 | + | 0.927702i | |||||
−24.4757 | −1.19858 | |||||||||
−1.37326 | + | 4.54547i | −0.0671682 | + | 0.222326i | |||||
7.29280 | − | 7.29280i | 0.356277 | − | 0.356277i | −0.506162 | − | 0.862439i | ||
0.862439 | + | 0.506162i | ||||||||
−2.95082 | + | 4.43784i | −0.143985 | + | 0.216544i | |||||
−28.3286 | − | 28.3286i | −1.38065 | − | 1.38065i | −0.843465 | − | 0.537184i | ||
−0.537184 | − | 0.843465i | ||||||||
17.8166 | + | 33.2423i | 0.867297 | + | 1.61821i | |||||
0.503069i | 0.0244601i | |||||||||
−27.6965 | − | 2.63332i | −1.34506 | − | 0.127885i | |||||
− | 8.48891i | − | 0.411773i | |||||||
2.70000 | − | 1.44709i | 0.130815 | − | 0.0701119i | |||||
−7.12444 | − | 7.12444i | −0.344776 | − | 0.344776i | |||||
1.23925 | + | 6.15754i | 0.0599014 | + | 0.297636i | |||||
19.1851 | − | 19.1851i | 0.926263 | − | 0.926263i | |||||
−6.53973 | − | 1.97576i | −0.315374 | − | 0.0952795i | |||||
28.6230 | 1.37872 | 0.689360 | − | 0.724419i | ||||||
0.689360 | + | 0.724419i | ||||||||
6.73164 | − | 16.4612i | 0.323876 | − | 0.791989i | |||||
−20.1257 | −0.967182 | −0.483591 | − | 0.875294i | ||||||
−0.483591 | + | 0.875294i | ||||||||
6.86688 | + | 2.07459i | 0.329621 | + | 0.0995837i | |||||
6.10964 | − | 6.10964i | 0.292935 | − | 0.292935i | |||||
26.0270 | − | 5.23813i | 1.24647 | − | 0.250861i | |||||
−0.723364 | − | 0.723364i | −0.0346032 | − | 0.0346032i | |||||
−35.4540 | + | 19.0020i | −1.69406 | + | 0.907948i | |||||
29.2451i | 1.39579i | 0.716198 | + | 0.697897i | ||||||
−0.716198 | + | 0.697897i | ||||||||
7.90118 | + | 9.56149i | 0.376674 | + | 0.455826i | |||||
− | 4.04568i | − | 0.192651i | |||||||
7.59827 | + | 14.1769i | 0.361413 | + | 0.674326i | |||||
22.0509 | + | 22.0509i | 1.04767 | + | 1.04767i | 0.998805 | + | 0.0488650i | ||
0.0488650 | + | 0.998805i | ||||||||
4.70875 | + | 3.13095i | 0.223467 | + | 0.148588i | |||||
7.39684 | − | 7.39684i | 0.350644 | − | 0.350644i | |||||
5.64911 | − | 18.6985i | 0.267493 | − | 0.885398i | |||||
−31.4406 | −1.48709 | |||||||||
−8.16416 | − | 1.56662i | −0.385720 | − | 0.0740158i | |||||
−14.7479 | −0.695994 | −0.347997 | − | 0.937496i | ||||||
−0.347997 | + | 0.937496i | ||||||||
0.898520 | − | 2.97409i | 0.0423567 | − | 0.140200i | |||||
−6.09739 | + | 6.09739i | −0.287115 | + | 0.287115i | |||||
−3.15544 | − | 2.09812i | −0.148419 | − | 0.0986874i | |||||
30.1664 | + | 30.1664i | 1.41734 | + | 1.41734i | |||||
1.60130 | + | 2.98771i | 0.0751526 | + | 0.140220i | |||||
5.98021i | 0.280357i | |||||||||
−3.53738 | − | 4.28070i | −0.165653 | − | 0.200462i | |||||
38.4217i | 1.79729i | 0.438675 | + | 0.898646i | ||||||
−0.438675 | + | 0.898646i | ||||||||
−22.9047 | + | 12.2760i | −1.07027 | + | 0.573621i | |||||
−8.30168 | − | 8.30168i | −0.387489 | − | 0.387489i | |||||
−2.61972 | + | 0.527237i | −0.122145 | + | 0.0245826i | |||||
−13.6064 | + | 13.6064i | −0.633711 | + | 0.633711i | −0.948997 | − | 0.315286i | ||
0.315286 | + | 0.948997i | ||||||||
8.86140 | + | 2.67717i | 0.412270 | + | 0.124553i | |||||
26.3626 | 1.22517 | 0.612586 | − | 0.790404i | ||||||
0.612586 | + | 0.790404i | ||||||||
12.4751 | + | 5.10156i | 0.579141 | + | 0.236834i | |||||
12.5172 | 0.580471 | |||||||||
27.9700 | + | 8.45017i | 1.29568 | + | 0.391447i | |||||
7.32038 | − | 7.32038i | 0.338747 | − | 0.338747i | −0.517149 | − | 0.855896i | ||
0.855896 | + | 0.517149i | ||||||||
1.16148 | + | 5.77112i | 0.0536895 | + | 0.266770i | |||||
−5.46289 | − | 5.46289i | −0.252253 | − | 0.252253i | |||||
−1.22603 | + | 0.657105i | −0.0565526 | + | 0.0303100i | |||||
− | 32.4822i | − | 1.49670i | |||||||
−30.5574 | − | 2.90532i | −1.40652 | − | 0.133728i | |||||
11.8665i | 0.545624i | |||||||||
−8.82970 | − | 16.4745i | −0.405562 | − | 0.756699i | |||||
2.32545 | + | 2.32545i | 0.106699 | + | 0.106699i | |||||
−3.03861 | + | 4.56987i | −0.139274 | + | 0.209460i | |||||
−4.75308 | + | 4.75308i | −0.217629 | + | 0.217629i | |||||
−9.56599 | + | 31.6633i | −0.437538 | + | 1.44825i | |||||
37.5883 | 1.71745 | 0.858727 | − | 0.512433i | ||||||
0.858727 | + | 0.512433i | ||||||||
−14.4278 | + | 1.50317i | −0.658535 | + | 0.0686102i | |||||
6.34528 | 0.289320 | |||||||||
−1.42447 | + | 4.71498i | −0.0648828 | + | 0.214761i | |||||
−1.41020 | + | 1.41020i | −0.0641664 | + | 0.0641664i | |||||
−0.251920 | + | 0.378871i | −0.0114509 | + | 0.0172214i | |||||
13.7158 | + | 13.7158i | 0.622804 | + | 0.622804i | |||||
−4.65834 | − | 8.69155i | −0.211306 | − | 0.394257i | |||||
− | 0.799551i | − | 0.0362311i | −0.999836 | − | 0.0181156i | ||||
0.999836 | − | 0.0181156i | ||||||||
2.59574 | − | 27.3013i | 0.117504 | − | 1.23587i | |||||
18.1107i | 0.818993i | |||||||||
9.85973 | − | 5.28443i | 0.445417 | − | 0.238726i | |||||
−6.00074 | − | 6.00074i | −0.270809 | − | 0.270809i | 0.558617 | − | 0.829426i | ||
−0.829426 | + | 0.558617i | ||||||||
−1.98968 | − | 9.88623i | −0.0897016 | − | 0.445706i | |||||
6.29141 | − | 6.29141i | 0.283351 | − | 0.283351i | |||||
−5.96509 | − | 1.80215i | −0.268382 | − | 0.0810825i | |||||
2.99682 | 0.134697 | |||||||||
7.55328 | + | 18.0052i | 0.339152 | + | 0.808455i | |||||
1.17282 | 0.0526081 | |||||||||
27.8862 | + | 8.42488i | 1.24961 | + | 0.377528i | |||||
11.7126 | − | 11.7126i | 0.524326 | − | 0.524326i | −0.394549 | − | 0.918875i | ||
0.918875 | + | 0.394549i | ||||||||
21.5204 | − | 4.33114i | 0.962421 | − | 0.193694i | |||||
−22.2917 | − | 22.2917i | −0.995920 | − | 0.995920i | |||||
36.5753 | − | 19.6030i | 1.63244 | − | 0.874923i | |||||
− | 34.7455i | − | 1.54922i | −0.632436 | − | 0.774612i | ||||
0.632436 | − | 0.774612i | ||||||||
−1.54828 | + | 1.27943i | −0.0689659 | + | 0.0569903i | |||||
5.02507i | 0.223613i | |||||||||
2.19268 | + | 4.09111i | 0.0974764 | + | 0.181872i | |||||
7.53474 | + | 7.53474i | 0.334630 | + | 0.334630i | |||||
−2.70303 | − | 1.79731i | −0.119928 | − | 0.0797426i | |||||
17.9923 | − | 17.9923i | 0.797494 | − | 0.797494i | −0.185206 | − | 0.982700i | ||
0.982700 | + | 0.185206i | ||||||||
−2.76944 | + | 9.16681i | −0.122633 | + | 0.405913i | |||||
−15.4004 | −0.681275 | |||||||||
−10.8684 | − | 19.8464i | −0.480320 | − | 0.877093i | |||||
4.54832 | 0.200813 | |||||||||
1.22547 | − | 4.05627i | 0.0540530 | − | 0.178915i | |||||
5.47020 | − | 5.47020i | 0.241046 | − | 0.241046i | |||||
−11.5563 | − | 7.68401i | −0.508736 | − | 0.338270i | |||||
1.70850 | + | 1.70850i | 0.0751399 | + | 0.0751399i | |||||
1.02269 | + | 1.90814i | 0.0449343 | + | 0.0838388i | |||||
1.10821i | 0.0486452i | |||||||||
−12.5477 | + | 10.3688i | −0.550253 | + | 0.454704i | |||||
29.4574i | 1.29055i | 0.763950 | + | 0.645275i | ||||||
−0.763950 | + | 0.645275i | ||||||||
2.87012 | − | 1.53827i | 0.125622 | − | 0.0673284i | |||||
17.8554 | + | 17.8554i | 0.780762 | + | 0.780762i | 0.979959 | − | 0.199197i | ||
−0.199197 | + | 0.979959i | ||||||||
−0.00575879 | + | 0.00115900i | −0.000251574 | + | 5.06311e-5i | |||||
4.53348 | − | 4.53348i | 0.197857 | − | 0.197857i | |||||
17.0844 | + | 5.16148i | 0.744917 | + | 0.225051i | |||||
12.8896 | 0.561479 | |||||||||
9.74718 | + | 23.2349i | 0.424191 | + | 1.01117i | |||||
−1.00000 | −0.0434783 | |||||||||
−17.7922 | − | 5.37530i | −0.772843 | − | 0.233488i | |||||
−5.24403 | + | 5.24403i | −0.227572 | + | 0.227572i | |||||
−0.419474 | − | 2.08427i | −0.0181865 | − | 0.0903644i | |||||
−8.00170 | − | 8.00170i | −0.346592 | − | 0.346592i | |||||
18.7292 | − | 10.0382i | 0.810494 | − | 0.434393i | |||||
4.19610i | 0.181413i | |||||||||
1.99037 | − | 20.9341i | 0.0859708 | − | 0.904217i | |||||
2.15303i | 0.0929101i | |||||||||
−7.23875 | − | 13.5061i | −0.312085 | − | 0.582289i | |||||
−13.7398 | − | 13.7398i | −0.591813 | − | 0.591813i | |||||
6.57848 | − | 9.89361i | 0.283093 | − | 0.425753i | |||||
27.0332 | − | 27.0332i | 1.16225 | − | 1.16225i | 0.178265 | − | 0.983982i | ||
0.983982 | − | 0.178265i | ||||||||
−6.00557 | + | 19.8784i | −0.257961 | + | 0.853848i | |||||
−11.5667 | −0.496377 | |||||||||
−14.8570 | + | 1.54790i | −0.636990 | + | 0.0663655i | |||||
17.7363 | 0.759739 | |||||||||
−3.51330 | + | 11.6290i | −0.150355 | + | 0.497674i | |||||
10.7547 | − | 10.7547i | 0.459837 | − | 0.459837i | −0.438765 | − | 0.898602i | ||
0.898602 | + | 0.438765i | ||||||||
10.5749 | − | 15.9040i | 0.451738 | − | 0.679384i | |||||
−4.68525 | − | 4.68525i | −0.199962 | − | 0.199962i | |||||
−7.04897 | − | 13.1520i | −0.300569 | − | 0.560803i | |||||
3.44694i | 0.146845i | |||||||||
−5.40398 | − | 0.513797i | −0.230009 | − | 0.0218687i | |||||
− | 7.15617i | − | 0.304311i | |||||||
2.89839 | − | 1.55342i | 0.123141 | − | 0.0659987i | |||||
2.67121 | + | 2.67121i | 0.113386 | + | 0.113386i | |||||
−5.03238 | − | 25.0047i | −0.213420 | − | 1.06043i | |||||
20.3767 | − | 20.3767i | 0.863388 | − | 0.863388i | −0.128342 | − | 0.991730i | ||
0.991730 | + | 0.128342i | ||||||||
4.51587 | + | 1.36432i | 0.191172 | + | 0.0577561i | |||||
−15.5727 | −0.658653 | |||||||||
−5.14045 | − | 2.10214i | −0.217224 | − | 0.0888315i | |||||
16.6335 | 0.702265 | |||||||||
−0.335050 | − | 0.101224i | −0.0141332 | − | 0.00426987i | |||||
0.0151291 | − | 0.0151291i | 0.000637614 | − | 0.000637614i | −0.706788 | − | 0.707426i | ||
0.707426 | + | 0.706788i | ||||||||
−2.77015 | + | 0.557513i | −0.116644 | + | 0.0234755i | |||||
−1.79004 | − | 1.79004i | −0.0753075 | − | 0.0753075i | |||||
30.8192 | − | 16.5179i | 1.29543 | − | 0.694299i | |||||
− | 10.9973i | − | 0.461844i | |||||||
2.03350 | + | 2.46081i | 0.0853239 | + | 0.103253i | |||||
− | 28.2556i | − | 1.18453i | −0.805742 | − | 0.592267i | ||||
0.805742 | − | 0.592267i | ||||||||
−1.75250 | − | 3.26982i | −0.0734040 | − | 0.136958i | |||||
20.3606 | + | 20.3606i | 0.852064 | + | 0.852064i | 0.990387 | − | 0.138323i | ||
−0.138323 | + | 0.990387i | ||||||||
23.5442 | + | 15.6551i | 0.984434 | + | 0.654572i | |||||
24.4136 | − | 24.4136i | 1.01989 | − | 1.01989i | |||||
1.11659 | − | 3.69591i | 0.0466058 | − | 0.154264i | |||||
3.21478 | 0.134065 | |||||||||
−5.36900 | − | 1.03026i | −0.223708 | − | 0.0429274i | |||||
−12.2293 | −0.509111 | −0.254555 | − | 0.967058i | ||||||
−0.254555 | + | 0.967058i | ||||||||
4.10114 | − | 13.5747i | 0.170585 | − | 0.564634i | |||||
−8.97709 | + | 8.97709i | −0.373075 | + | 0.373075i | |||||
7.49786 | + | 4.98549i | 0.311332 | + | 0.207011i | |||||
7.88638 | + | 7.88638i | 0.327182 | + | 0.327182i | |||||
18.6136 | + | 34.7293i | 0.771558 | + | 1.43958i | |||||
32.2844i | 1.33708i | |||||||||
−26.7022 | − | 32.3132i | −1.10494 | − | 1.33713i | |||||
3.93277i | 0.162600i | |||||||||
−40.3296 | + | 21.6151i | −1.66600 | + | 0.892912i | |||||
−0.477560 | − | 0.477560i | −0.0197110 | − | 0.0197110i | 0.697183 | − | 0.716894i | ||
−0.716894 | + | 0.697183i | ||||||||
22.2775 | − | 4.48351i | 0.918708 | − | 0.184897i | |||||
−3.53098 | + | 3.53098i | −0.145491 | + | 0.145491i | |||||
−19.6300 | − | 5.93053i | −0.808153 | − | 0.244156i | |||||
−29.1983 | −1.20106 | |||||||||
−2.23046 | + | 5.45425i | −0.0916714 | + | 0.224168i | |||||
−44.7662 | −1.83833 | −0.919164 | − | 0.393874i | ||||||
−0.919164 | + | 0.393874i | ||||||||
−19.7554 | − | 5.96842i | −0.810574 | − | 0.244887i | |||||
−2.59242 | + | 2.59242i | −0.106279 | + | 0.106279i | |||||
−6.46439 | − | 32.1200i | −0.264792 | − | 1.31569i | |||||
−12.6397 | − | 12.6397i | −0.517309 | − | 0.517309i | |||||
−5.36883 | + | 2.87749i | −0.219548 | + | 0.117669i | |||||
− | 0.331335i | − | 0.0135380i | −0.999977 | − | 0.00676899i | ||||
0.999977 | − | 0.00676899i | ||||||||
17.3726 | + | 1.65174i | 0.709232 | + | 0.0674322i | |||||
− | 15.2465i | − | 0.621918i | −0.950423 | − | 0.310959i | ||||
0.950423 | − | 0.310959i | ||||||||
−2.50989 | − | 4.68297i | −0.102296 | − | 0.190864i | |||||
−3.59256 | − | 3.59256i | −0.146301 | − | 0.146301i | |||||
−24.6159 | + | 37.0207i | −1.00161 | + | 1.50635i | |||||
−0.214928 | + | 0.214928i | −0.00873808 | + | 0.00873808i | |||||
−2.95216 | + | 9.77163i | −0.119924 | + | 0.396945i | |||||
3.73658 | 0.151663 | 0.0758315 | − | 0.997121i | ||||||
0.0758315 | + | 0.997121i | ||||||||
3.64590 | − | 4.49397i | 0.147861 | − | 0.182254i | |||||
6.71982 | 0.272301 | |||||||||
5.29859 | − | 17.5383i | 0.214534 | − | 0.710104i | |||||
−2.24210 | + | 2.24210i | −0.0907055 | + | 0.0907055i | |||||
−1.99828 | + | 3.00529i | −0.0807757 | + | 0.121481i | |||||
−2.71214 | − | 2.71214i | −0.109542 | − | 0.109542i | 0.650211 | − | 0.759753i | ||
−0.759753 | + | 0.650211i | ||||||||
−12.5379 | − | 23.3933i | −0.505989 | − | 0.944077i | |||||
− | 6.73704i | − | 0.271664i | |||||||
−0.913064 | + | 9.60335i | −0.0367884 | + | 0.386930i | |||||
− | 35.3903i | − | 1.42476i | −0.701795 | − | 0.712379i | ||||
0.701795 | − | 0.712379i | ||||||||
13.8509 | − | 7.42353i | 0.557164 | − | 0.298618i | |||||
−2.08383 | − | 2.08383i | −0.0837563 | − | 0.0837563i | 0.663987 | − | 0.747744i | ||
−0.747744 | + | 0.663987i | ||||||||
2.57362 | + | 12.7877i | 0.103359 | + | 0.513566i | |||||
3.14387 | − | 3.14387i | 0.126159 | − | 0.126159i | |||||
34.8611 | + | 10.5321i | 1.39780 | + | 0.422299i | |||||
8.13558 | 0.325945 | |||||||||
−30.4915 | + | 12.7914i | −1.22064 | + | 0.512065i | |||||
−1.40867 | −0.0563468 | |||||||||
31.9603 | + | 9.65571i | 1.27739 | + | 0.385920i | |||||
−4.55657 | + | 4.55657i | −0.181972 | + | 0.181972i | |||||
33.1841 | − | 6.67855i | 1.32419 | − | 0.266503i | |||||
2.75068 | + | 2.75068i | 0.109677 | + | 0.109677i | |||||
−1.18265 | + | 0.633857i | −0.0471181 | + | 0.0252535i | |||||
9.64495i | 0.383960i | 0.981399 | + | 0.191980i | ||||||
−0.981399 | + | 0.191980i | ||||||||
15.0151 | − | 12.4078i | 0.597268 | − | 0.493555i | |||||
51.1835i | 2.03436i | |||||||||
0.838624 | + | 1.56471i | 0.0333060 | + | 0.0621426i | |||||
−1.53339 | − | 1.53339i | −0.0608509 | − | 0.0608509i | |||||
−31.4403 | − | 20.9053i | −1.24669 | − | 0.828951i | |||||
18.0309 | − | 18.0309i | 0.714411 | − | 0.714411i | |||||
4.52316 | − | 14.9716i | 0.179074 | − | 0.592731i | |||||
0.771282 | 0.0305114 | |||||||||
−4.50211 | − | 14.4305i | −0.177961 | − | 0.570416i | |||||
−12.4528 | −0.491854 | −0.245927 | − | 0.969288i | ||||||
−0.245927 | + | 0.969288i | ||||||||
−2.46515 | + | 8.15962i | −0.0972918 | + | 0.322034i | |||||
−29.4591 | + | 29.4591i | −1.16175 | + | 1.16175i | −0.177660 | + | 0.984092i | ||
−0.984092 | + | 0.177660i | ||||||||
−1.73062 | − | 1.15073i | −0.0681961 | − | 0.0453451i | |||||
−6.55571 | − | 6.55571i | −0.258131 | − | 0.258131i | |||||
−1.80464 | − | 3.36710i | −0.0710024 | − | 0.132477i | |||||
20.4981i | 0.805864i | 0.915230 | + | 0.402932i | ||||||
−0.915230 | + | 0.402932i | ||||||||
23.0746 | − | 19.0678i | 0.906456 | − | 0.749054i | |||||
35.6192i | 1.39817i | |||||||||
17.2596 | − | 9.25048i | 0.676977 | − | 0.362834i | |||||
6.88365 | + | 6.88365i | 0.269792 | + | 0.269792i | |||||
−18.5021 | + | 3.72368i | −0.724597 | + | 0.145830i | |||||
20.5538 | − | 20.5538i | 0.804331 | − | 0.804331i | −0.179439 | − | 0.983769i | ||
0.983769 | + | 0.179439i | ||||||||
34.4895 | + | 10.4198i | 1.34865 | + | 0.407448i | |||||
−0.00392437 | −0.000153338 | |||||||||
9.69079 | − | 4.06535i | 0.378362 | − | 0.158725i | |||||
−10.1278 | −0.395123 | |||||||||
−1.03560 | − | 0.312873i | −0.0403721 | − | 0.0121970i | |||||
−22.8047 | + | 22.8047i | −0.888345 | + | 0.888345i | −0.994364 | − | 0.106019i | ||
0.106019 | + | 0.994364i | ||||||||
3.32114 | + | 16.5020i | 0.129275 | + | 0.642338i | |||||
26.5982 | + | 26.5982i | 1.03455 | + | 1.03455i | 0.999381 | + | 0.0351672i | ||
0.0351672 | + | 0.999381i | ||||||||
−39.2937 | + | 21.0599i | −1.52719 | + | 0.818516i | |||||
21.8284i | 0.847743i | |||||||||
−2.87335 | + | 30.2211i | −0.111508 | + | 1.17281i | |||||
− | 1.42034i | − | 0.0550783i | |||||||
0.672551 | + | 1.25485i | 0.0260608 | + | 0.0486244i | |||||
2.38258 | + | 2.38258i | 0.0922537 | + | 0.0922537i | |||||
18.1901 | − | 27.3568i | 0.703797 | − | 1.05847i | |||||
18.7441 | − | 18.7441i | 0.724690 | − | 0.724690i | |||||
4.06286 | − | 13.4480i | 0.156962 | − | 0.519543i | |||||
−31.8237 | −1.22854 | |||||||||
−8.76100 | − | 7.10771i | −0.337963 | − | 0.274186i | |||||
−3.50318 | −0.135038 | −0.0675188 | − | 0.997718i | ||||||
−0.0675188 | + | 0.997718i | ||||||||
6.27824 | − | 20.7809i | 0.241829 | − | 0.800450i | |||||
−10.1068 | + | 10.1068i | −0.389012 | + | 0.389012i | |||||
−6.14838 | + | 9.24677i | −0.236476 | + | 0.355645i | |||||
19.1608 | + | 19.1608i | 0.736411 | + | 0.736411i | 0.971881 | − | 0.235471i | ||
−0.235471 | + | 0.971881i | ||||||||
−2.42924 | − | 4.53248i | −0.0932943 | − | 0.174069i | |||||
15.0857i | 0.578935i | |||||||||
−9.93433 | − | 0.944533i | −0.380964 | − | 0.0362212i | |||||
4.60022i | 0.176281i | |||||||||
19.9700 | − | 10.7032i | 0.764693 | − | 0.409846i | |||||
25.0664 | + | 25.0664i | 0.959141 | + | 0.959141i | 0.999197 | − | 0.0400569i | ||
−0.0400569 | + | 0.999197i | ||||||||
−0.275859 | − | 1.37068i | −0.0105477 | − | 0.0524092i | |||||
9.02211 | − | 9.02211i | 0.344717 | − | 0.344717i | |||||
18.1757 | + | 5.49116i | 0.693950 | + | 0.209653i | |||||
−35.2667 | −1.34551 | |||||||||
5.47403 | − | 13.3859i | 0.208695 | − | 0.510332i | |||||
−42.3674 | −1.61407 | |||||||||
−3.47150 | − | 1.04880i | −0.132158 | − | 0.0399270i | |||||
−17.8490 | + | 17.8490i | −0.679006 | + | 0.679006i | −0.959775 | − | 0.280769i | ||
0.280769 | + | 0.959775i | ||||||||
−1.13216 | + | 0.227856i | −0.0430384 | + | 0.00866179i | |||||
1.64806 | + | 1.64806i | 0.0626045 | + | 0.0626045i | |||||
15.0809 | − | 8.08278i | 0.572463 | − | 0.306818i | |||||
− | 17.0396i | − | 0.646349i | |||||||
11.6512 | + | 14.0995i | 0.441638 | + | 0.534442i | |||||
− | 6.93748i | − | 0.262776i | |||||||
5.93235 | + | 11.0686i | 0.224543 | + | 0.418953i | |||||
28.0383 | + | 28.0383i | 1.06050 | + | 1.06050i | |||||
5.56357 | + | 3.69934i | 0.210283 | + | 0.139822i | |||||
−17.2434 | + | 17.2434i | −0.651275 | + | 0.651275i | −0.953300 | − | 0.302025i | ||
0.302025 | + | 0.953300i | ||||||||
7.83246 | − | 25.9253i | 0.295617 | − | 0.978489i | |||||
−1.50704 | −0.0568392 | |||||||||
−21.7329 | + | 14.7351i | −0.819089 | + | 0.555348i | |||||
−1.88774 | −0.0710963 | |||||||||
12.3708 | − | 40.9471i | 0.465580 | − | 1.54107i | |||||
−2.76347 | + | 2.76347i | −0.103931 | + | 0.103931i | |||||
−34.6878 | − | 23.0647i | −1.30365 | − | 0.866824i | |||||
−22.7158 | − | 22.7158i | −0.853109 | − | 0.853109i | 0.137406 | − | 0.990515i | ||
−0.990515 | + | 0.137406i | ||||||||
1.00744 | + | 1.87969i | 0.0378087 | + | 0.0705436i | |||||
− | 4.70611i | − | 0.176493i | |||||||
14.1059 | + | 17.0701i | 0.528643 | + | 0.639729i | |||||
4.88133i | 0.182807i | |||||||||
−6.56417 | + | 3.51814i | −0.245658 | + | 0.131663i | |||||
13.3563 | + | 13.3563i | 0.499498 | + | 0.499498i | |||||
−2.19956 | + | 0.442677i | −0.0822013 | + | 0.0165436i | |||||
−31.7406 | + | 31.7406i | −1.18538 | + | 1.18538i | |||||
9.21207 | + | 2.78312i | 0.343792 | + | 0.103865i | |||||
−5.56231 | −0.207439 | −0.103720 | − | 0.994607i | ||||||
−0.103720 | + | 0.994607i | ||||||||
−3.38052 | − | 1.38243i | −0.125984 | − | 0.0515201i | |||||
6.01652 | 0.224067 | |||||||||
−24.3051 | − | 7.34295i | −0.904541 | − | 0.273276i | |||||
−4.72650 | + | 4.72650i | −0.175780 | + | 0.175780i | |||||
−2.37820 | − | 11.8167i | −0.0883851 | − | 0.439165i | |||||
−7.65945 | − | 7.65945i | −0.284465 | − | 0.284465i | |||||
−0.544212 | + | 0.291676i | −0.0201976 | + | 0.0108251i | |||||
24.9482i | 0.925276i | 0.886547 | + | 0.462638i | ||||||
−0.886547 | + | 0.462638i | ||||||||
−12.6026 | − | 1.19823i | −0.467085 | − | 0.0444093i | |||||
18.3668i | 0.680254i | |||||||||
−13.2288 | − | 24.6825i | −0.489622 | − | 0.913539i | |||||
−6.75075 | − | 6.75075i | −0.249685 | − | 0.249685i | |||||
20.6070 | − | 30.9916i | 0.761657 | − | 1.14548i | |||||
−4.28174 | + | 4.28174i | −0.158150 | + | 0.158150i | −0.781746 | − | 0.623597i | ||
0.623597 | + | 0.781746i | ||||||||
−6.96967 | + | 23.0695i | −0.257255 | + | 0.851511i | |||||
15.1812 | 0.559965 | |||||||||
−0.586193 | − | 5.62640i | −0.0216073 | − | 0.207392i | |||||
−24.4018 | −0.898854 | |||||||||
0.734307 | − | 2.43055i | 0.0270302 | − | 0.0894696i | |||||
−22.1800 | + | 22.1800i | −0.815904 | + | 0.815904i | −0.985512 | − | 0.169608i | ||
0.169608 | + | 0.985512i | ||||||||
−2.17972 | + | 3.27815i | −0.0801279 | + | 0.120507i | |||||
−5.97966 | − | 5.97966i | −0.219668 | − | 0.219668i | |||||
−6.82849 | − | 12.7406i | −0.250682 | − | 0.467723i | |||||
− | 6.84629i | − | 0.251166i | −0.992083 | − | 0.125583i | ||||
0.992083 | − | 0.125583i | ||||||||
−2.50801 | + | 26.3786i | −0.0919482 | + | 0.967085i | |||||
− | 21.8884i | − | 0.801929i | |||||||
16.2657 | − | 8.71781i | 0.595531 | − | 0.319182i | |||||
5.18632 | + | 5.18632i | 0.189758 | + | 0.189758i | |||||
3.41995 | + | 16.9929i | 0.125046 | + | 0.621322i | |||||
−2.30758 | + | 2.30758i | −0.0843173 | + | 0.0843173i | |||||
28.5176 | + | 8.61562i | 1.04132 | + | 0.314598i | |||||
−23.1178 | −0.843580 | −0.421790 | − | 0.906693i | ||||||
−0.421790 | + | 0.906693i | ||||||||
−1.13912 | − | 2.71538i | −0.0415395 | − | 0.0990199i | |||||
56.3155 | 2.05225 | |||||||||
19.6475 | + | 5.93582i | 0.715519 | + | 0.216170i | |||||
−21.0014 | + | 21.0014i | −0.764318 | + | 0.764318i | |||||
9.05859 | − | 1.82311i | 0.329458 | − | 0.0663058i | |||||
21.7823 | + | 21.7823i | 0.791691 | + | 0.791691i | 0.981769 | − | 0.190078i | ||
−0.190078 | + | 0.981769i | ||||||||
−39.9439 | + | 21.4084i | −1.45083 | + | 0.777587i | |||||
6.29914i | 0.228644i | |||||||||
2.98016 | − | 2.46267i | 0.108102 | − | 0.0893302i | |||||
20.6449i | 0.748378i | 0.927353 | + | 0.374189i | ||||||
−0.927353 | + | 0.374189i | ||||||||
−2.08095 | − | 3.88265i | −0.0753848 | − | 0.140653i | |||||
9.75382 | + | 9.75382i | 0.353112 | + | 0.353112i | |||||
29.9608 | + | 19.9216i | 1.08394 | + | 0.720739i | |||||
−1.70486 | + | 1.70486i | −0.0616392 | + | 0.0616392i | |||||
4.99090 | − | 16.5198i | 0.180329 | − | 0.596886i | |||||
−46.7436 | −1.68781 | |||||||||
−0.276942 | − | 30.7061i | −0.00999329 | − | 1.10801i | |||||
−18.1582 | −0.654803 | −0.327402 | − | 0.944885i | ||||||
−0.327402 | + | 0.944885i | ||||||||
−1.86380 | + | 6.16916i | −0.0671668 | + | 0.222321i | |||||
4.06618 | − | 4.06618i | 0.146440 | − | 0.146440i | |||||
−11.0168 | − | 7.32534i | −0.396505 | − | 0.263645i | |||||
27.1002 | + | 27.1002i | 0.974727 | + | 0.974727i | 0.999688 | − | 0.0249615i | ||
−0.0249615 | + | 0.999688i | ||||||||
−1.65058 | − | 3.07967i | −0.0593290 | − | 0.110696i | |||||
− | 15.6924i | − | 0.563687i | |||||||
−31.6528 | + | 26.1564i | −1.13627 | + | 0.938961i | |||||
2.93798i | 0.105400i | |||||||||
−23.6975 | + | 12.7010i | −0.849597 | + | 0.455351i | |||||
1.90045 | + | 1.90045i | 0.0680908 | + | 0.0680908i | |||||
−21.6558 | + | 4.35839i | −0.775402 | + | 0.156055i | |||||
2.61940 | − | 2.61940i | 0.0937294 | − | 0.0937294i | |||||
−3.57478 | − | 1.08000i | −0.127834 | − | 0.0386207i | |||||
−14.9810 | −0.535378 | |||||||||
9.16080 | + | 21.8371i | 0.327172 | + | 0.779896i | |||||
22.6135 | 0.807112 | |||||||||
−0.00763122 | − | 0.00230551i | −0.000272197 | − | 8.22350e-5i | |||||
14.0686 | − | 14.0686i | 0.501490 | − | 0.501490i | −0.410411 | − | 0.911901i | ||
0.911901 | + | 0.410411i | ||||||||
−6.00336 | − | 29.8293i | −0.213861 | − | 1.06262i | |||||
17.1262 | + | 17.1262i | 0.609708 | + | 0.609708i | |||||
11.4693 | − | 6.14709i | 0.408059 | − | 0.218704i | |||||
− | 1.96881i | − | 0.0700029i | |||||||
−0.600459 | + | 6.31546i | −0.0213364 | + | 0.224410i | |||||
− | 41.7628i | − | 1.48304i | |||||||
5.48410 | + | 10.2323i | 0.194624 | + | 0.363130i | |||||
−17.8356 | − | 17.8356i | −0.632565 | − | 0.632565i | |||||
10.3141 | − | 15.5117i | 0.365572 | − | 0.549797i | |||||
34.3747 | − | 34.3747i | 1.21761 | − | 1.21761i | 0.249148 | − | 0.968465i | ||
0.968465 | − | 0.249148i | ||||||||
0.834430 | − | 2.76195i | 0.0295385 | − | 0.0977720i | |||||
−1.94390 | −0.0687702 | |||||||||
1.88448 | + | 18.0876i | 0.0666264 | + | 0.639494i | |||||
5.35020 | 0.189040 | |||||||||
−12.2547 | + | 40.5628i | −0.432728 | + | 1.43232i | |||||
−34.3956 | + | 34.3956i | −1.21379 | + | 1.21379i | |||||
15.8011 | − | 23.7638i | 0.557261 | − | 0.838085i | |||||
−0.981759 | − | 0.981759i | −0.0346024 | − | 0.0346024i | |||||
14.0460 | + | 26.2070i | 0.494748 | + | 0.923103i | |||||
− | 20.7955i | − | 0.732037i | |||||||
−10.5898 | − | 1.00685i | −0.372547 | − | 0.0354209i | |||||
− | 19.8794i | − | 0.698922i | −0.936951 | − | 0.349461i | ||||
0.936951 | − | 0.349461i | ||||||||
17.6255 | − | 9.44661i | 0.619299 | − | 0.331920i | |||||
18.6464 | + | 18.6464i | 0.654763 | + | 0.654763i | 0.954136 | − | 0.299373i | ||
−0.299373 | + | 0.954136i | ||||||||
1.38164 | + | 6.86504i | 0.0484861 | + | 0.240916i | |||||
−19.9269 | + | 19.9269i | −0.698867 | + | 0.698867i | |||||
6.54576 | + | 1.97758i | 0.229429 | + | 0.0693141i | |||||
−12.6084 | −0.441651 | |||||||||
−18.7631 | − | 7.67300i | −0.656841 | − | 0.268609i | |||||
3.69860 | 0.129398 | |||||||||
−44.3564 | − | 13.4008i | −1.55089 | − | 0.468547i | |||||
−2.16277 | + | 2.16277i | −0.0755734 | + | 0.0755734i | |||||
6.88263 | − | 1.38518i | 0.240352 | − | 0.0483726i | |||||
14.7887 | + | 14.7887i | 0.516129 | + | 0.516129i | 0.916398 | − | 0.400269i | ||
−0.400269 | + | 0.916398i | ||||||||
22.8445 | − | 12.2438i | 0.796794 | − | 0.427051i | |||||
11.6401i | 0.405749i | 0.979205 | + | 0.202875i | ||||||
−0.979205 | + | 0.202875i | ||||||||
10.4318 | + | 12.6239i | 0.363409 | + | 0.439773i | |||||
− | 20.2503i | − | 0.705026i | |||||||
−7.53381 | − | 14.0566i | −0.262135 | − | 0.489093i | |||||
−22.7061 | − | 22.7061i | −0.789569 | − | 0.789569i | 0.191855 | − | 0.981423i | ||
−0.981423 | + | 0.191855i | ||||||||
−1.13811 | − | 0.756755i | −0.0395521 | − | 0.0262991i | |||||
4.08997 | − | 4.08997i | 0.142051 | − | 0.142051i | −0.632505 | − | 0.774556i | ||
0.774556 | + | 0.632505i | ||||||||
−5.86526 | + | 19.4139i | −0.203586 | + | 0.673868i | |||||
4.46269 | 0.154809 | |||||||||
−19.3371 | − | 28.5204i | −0.670392 | − | 0.988768i | |||||
15.6328 | 0.541645 | |||||||||
10.0105 | − | 33.1348i | 0.346637 | − | 1.14736i | |||||
15.5191 | − | 15.5191i | 0.537061 | − | 0.537061i | |||||
−5.59190 | − | 3.71818i | −0.193400 | − | 0.128596i | |||||
−15.3463 | − | 15.3463i | −0.530444 | − | 0.530444i | |||||
6.89010 | + | 12.8556i | 0.238015 | + | 0.444089i | |||||
− | 1.07505i | − | 0.0371149i | −0.999828 | − | 0.0185575i | ||||
0.999828 | − | 0.0185575i | ||||||||
−4.80098 | − | 5.80983i | −0.165649 | − | 0.200458i | |||||
17.6467i | 0.608506i | |||||||||
49.9370 | − | 26.7643i | 1.72094 | − | 0.922358i | |||||
−0.335868 | − | 0.335868i | −0.0115679 | − | 0.0115679i | |||||
−52.2896 | + | 10.5237i | −1.79988 | + | 0.362240i | |||||
−5.24556 | + | 5.24556i | −0.180453 | + | 0.180453i | |||||
−0.681045 | − | 0.205755i | −0.0234148 | − | 0.00707399i | |||||
−0.236394 | −0.00812258 | |||||||||
14.8928 | − | 36.4180i | 0.511420 | − | 1.25060i | |||||
47.4527 | 1.62857 | |||||||||
11.4921 | + | 3.47195i | 0.394176 | + | 0.119087i | |||||
−1.04169 | + | 1.04169i | −0.0357087 | + | 0.0357087i | |||||
0.854752 | + | 4.24706i | 0.0292833 | + | 0.145502i | |||||
10.5166 | + | 10.5166i | 0.360081 | + | 0.360081i | 0.863843 | − | 0.503762i | ||
−0.503762 | + | 0.863843i | ||||||||
12.5588 | − | 6.73104i | 0.429754 | − | 0.230331i | |||||
− | 0.934057i | − | 0.0319441i | |||||||
−8.84280 | − | 0.840753i | −0.302241 | − | 0.0287363i | |||||
− | 9.90117i | − | 0.338218i | −0.985597 | − | 0.169109i | ||||
0.985597 | − | 0.169109i | ||||||||
18.1257 | + | 33.8190i | 0.618801 | + | 1.15456i | |||||
−15.9867 | − | 15.9867i | −0.545458 | − | 0.545458i | 0.379666 | − | 0.925124i | ||
−0.925124 | + | 0.379666i | ||||||||
5.34948 | − | 8.04528i | 0.182416 | − | 0.274342i | |||||
3.70494 | − | 3.70494i | 0.126264 | − | 0.126264i | |||||
−11.7067 | + | 38.7492i | −0.398733 | + | 1.31980i | |||||
−10.6622 | −0.362944 | −0.181472 | − | 0.983396i | ||||||
−0.181472 | + | 0.983396i | ||||||||
19.5316 | + | 15.8458i | 0.664478 | + | 0.539083i | |||||
−0.771520 | −0.0262325 | |||||||||
8.23140 | − | 27.2458i | 0.279714 | − | 0.925851i | |||||
13.6079 | − | 13.6079i | 0.462148 | − | 0.462148i | |||||
−5.61709 | + | 8.44773i | −0.190656 | + | 0.286735i | |||||
−15.9827 | − | 15.9827i | −0.542176 | − | 0.542176i | |||||
5.77227 | + | 10.7699i | 0.195698 | + | 0.365135i | |||||
− | 32.0229i | − | 1.08506i | |||||||
−3.55374 | + | 37.3772i | −0.120345 | + | 1.26575i | |||||
9.92080i | 0.335768i | |||||||||
1.27513 | − | 0.683421i | 0.0431319 | − | 0.0231171i | |||||
8.06493 | + | 8.06493i | 0.272644 | + | 0.272644i | |||||
−11.2238 | − | 55.7686i | −0.379219 | − | 1.88425i | |||||
−33.6382 | + | 33.6382i | −1.13588 | + | 1.13588i | −0.146702 | + | 0.989181i | ||
−0.989181 | + | 0.146702i | ||||||||
−39.5915 | − | 11.9612i | −1.33615 | − | 0.403672i | |||||
−62.0960 | −2.09445 | |||||||||
−16.1757 | + | 6.78582i | −0.545284 | + | 0.228750i | |||||
−26.5560 | −0.894695 | −0.447348 | − | 0.894360i | ||||||
−0.447348 | + | 0.894360i | ||||||||
5.47696 | + | 1.65468i | 0.184419 | + | 0.0557158i | |||||
13.3950 | − | 13.3950i | 0.450777 | − | 0.450777i | −0.444835 | − | 0.895612i | ||
0.895612 | + | 0.444835i | ||||||||
−22.3001 | + | 4.48806i | −0.750033 | + | 0.150950i | |||||
−19.6779 | − | 19.6779i | −0.661466 | − | 0.661466i | |||||
−38.8709 | + | 20.8333i | −1.30589 | + | 0.699908i | |||||
21.3699i | 0.717532i | 0.933428 | + | 0.358766i | ||||||
−0.933428 | + | 0.358766i | ||||||||
−6.16449 | + | 5.09405i | −0.206867 | + | 0.170945i | |||||
− | 1.68654i | − | 0.0565646i | |||||||
6.98840 | + | 13.0390i | 0.234252 | + | 0.437068i | |||||
−24.5616 | − | 24.5616i | −0.822845 | − | 0.822845i | |||||
23.0031 | + | 15.2953i | 0.770202 | + | 0.512124i | |||||
0.532512 | − | 0.532512i | 0.0178198 | − | 0.0178198i | |||||
12.8591 | − | 42.5636i | 0.430074 | − | 1.42354i | |||||
−1.49890 | −0.0501028 | |||||||||
5.45999 | − | 10.4117i | 0.182405 | − | 0.347831i | |||||
−8.26646 | −0.276009 | |||||||||
6.03185 | − | 19.9653i | 0.201285 | − | 0.666252i | |||||
11.6301 | − | 11.6301i | 0.387887 | − | 0.387887i | |||||
3.65877 | + | 2.43280i | 0.121959 | + | 0.0810933i | |||||
−18.3663 | − | 18.3663i | −0.611869 | − | 0.611869i | |||||
−5.76070 | − | 10.7483i | −0.191810 | − | 0.357881i | |||||
− | 7.21044i | − | 0.239948i | |||||||
4.13097 | − | 3.41364i | 0.137394 | − | 0.113536i | |||||
− | 8.05258i | − | 0.267677i | |||||||
−53.1767 | + | 28.5007i | −1.76668 | + | 0.946871i | |||||
−31.9140 | − | 31.9140i | −1.05969 | − | 1.05969i | −0.998102 | − | 0.0615842i | ||
−0.0615842 | − | 0.998102i | ||||||||
−4.69963 | + | 0.945835i | −0.155963 | + | 0.0313886i | |||||
−1.81734 | + | 1.81734i | −0.0602774 | + | 0.0602774i | |||||
−8.09589 | − | 2.44590i | −0.268376 | − | 0.0810808i | |||||
2.44657 | 0.0810584 | 0.0405292 | − | 0.999178i | ||||||
0.0405292 | + | 0.999178i | ||||||||
7.24192 | − | 3.03803i | 0.239804 | − | 0.100599i | |||||
35.2272 | 1.16585 | |||||||||
−52.0145 | − | 15.7144i | −1.72049 | − | 0.519787i | |||||
17.5811 | − | 17.5811i | 0.581214 | − | 0.581214i | |||||
−7.25106 | − | 36.0288i | −0.239582 | − | 1.19042i | |||||
−0.00215815 | − | 0.00215815i | −7.12684e−5 | − | 7.12684e-5i | |||||
14.6340 | − | 7.84327i | 0.482995 | − | 0.258866i | |||||
3.55117i | 0.117142i | 0.998283 | + | 0.0585712i | ||||||
−0.998283 | + | 0.0585712i | ||||||||
0.357697 | − | 3.76216i | 0.0117929 | − | 0.124035i | |||||
− | 36.0190i | − | 1.18687i | |||||||
−12.8550 | − | 23.9850i | −0.423358 | − | 0.789903i | |||||
3.43748 | + | 3.43748i | 0.113146 | + | 0.113146i | |||||
−7.24860 | + | 10.9014i | −0.238462 | + | 0.358631i | |||||
3.34880 | − | 3.34880i | 0.110108 | − | 0.110108i | |||||
−10.7823 | + | 35.6891i | −0.354327 | + | 1.17282i | |||||
3.95665 | 0.129953 | |||||||||
−12.0087 | + | 14.8020i | −0.394204 | + | 0.485899i | |||||
1.01716 | 0.0333718 | 0.0166859 | − | 0.999861i | ||||||
0.0166859 | + | 0.999861i | ||||||||
−5.11951 | + | 16.9455i | −0.167875 | + | 0.555665i | |||||
−4.28245 | + | 4.28245i | −0.140352 | + | 0.140352i | |||||
−22.8793 | + | 34.4091i | −0.749438 | + | 1.12711i | |||||
34.9463 | + | 34.9463i | 1.14409 | + | 1.14409i | |||||
6.91616 | + | 12.9042i | 0.226304 | + | 0.422239i | |||||
11.5799i | 0.378704i | |||||||||
−8.28788 | − | 0.787992i | −0.270898 | − | 0.0257563i | |||||
− | 36.5659i | − | 1.19456i | −0.802034 | − | 0.597278i | ||||
0.802034 | − | 0.597278i | ||||||||
9.62987 | − | 5.16124i | 0.314426 | − | 0.168520i | |||||
32.0383 | + | 32.0383i | 1.04553 | + | 1.04553i | |||||
−0.388131 | − | 1.92853i | −0.0126594 | − | 0.0629018i | |||||
−16.9584 | + | 16.9584i | −0.552827 | + | 0.552827i | −0.927256 | − | 0.374429i | ||
0.374429 | + | 0.927256i | ||||||||
43.9737 | + | 13.2852i | 1.43274 | + | 0.432854i | |||||
2.62724 | 0.0855548 | |||||||||
16.4311 | − | 40.1797i | 0.534786 | − | 1.30774i | |||||
6.17304 | 0.200809 | |||||||||
−16.0647 | − | 4.85340i | −0.522308 | − | 0.157798i | |||||
−11.7928 | + | 11.7928i | −0.383215 | + | 0.383215i | −0.872259 | − | 0.489044i | ||
0.489044 | + | 0.872259i | ||||||||
25.9142 | − | 5.21542i | 0.841654 | − | 0.169389i | |||||
−45.1379 | − | 45.1379i | −1.46524 | − | 1.46524i | |||||
−4.09926 | + | 2.19704i | −0.132998 | + | 0.0712816i | |||||
2.40921i | 0.0781238i | |||||||||
−4.94381 | − | 5.98268i | −0.160230 | − | 0.193900i | |||||
− | 55.4065i | − | 1.79479i | −0.441224 | − | 0.897397i | ||||
0.441224 | − | 0.897397i | ||||||||
−4.49062 | − | 8.37863i | −0.145389 | − | 0.271268i | |||||
16.9964 | + | 16.9964i | 0.549989 | + | 0.549989i | |||||
−38.9527 | − | 25.9005i | −1.25982 | − | 0.837682i | |||||
15.0082 | − | 15.0082i | 0.485145 | − | 0.485145i | |||||
−15.3736 | + | 50.8863i | −0.496698 | + | 1.64406i | |||||
9.92316 | 0.320436 | |||||||||
3.86598 | − | 20.1468i | 0.124774 | − | 0.650236i | |||||
−7.17265 | −0.231376 | |||||||||
−2.59521 | + | 8.59011i | −0.0836729 | + | 0.276956i | |||||
−1.51754 | + | 1.51754i | −0.0489020 | + | 0.0489020i | |||||
−5.80044 | − | 3.85684i | −0.186819 | − | 0.124220i | |||||
−6.24970 | − | 6.24970i | −0.201185 | − | 0.201185i | |||||
−1.33233 | − | 2.48587i | −0.0428671 | − | 0.0799816i | |||||
38.1599i | 1.22714i | 0.789640 | + | 0.613570i | ||||||
−0.789640 | + | 0.613570i | ||||||||
−0.409873 | − | 0.496002i | −0.0131738 | − | 0.0159421i | |||||
− | 5.18437i | − | 0.166546i | |||||||
−24.1780 | + | 12.9585i | −0.776309 | + | 0.416071i | |||||
22.9272 | + | 22.9272i | 0.735768 | + | 0.735768i | 0.971756 | − | 0.235988i | ||
−0.235988 | + | 0.971756i | ||||||||
13.6717 | − | 2.75153i | 0.438520 | − | 0.0882554i | |||||
9.37069 | − | 9.37069i | 0.300411 | − | 0.300411i | |||||
1.08242 | + | 0.327015i | 0.0346828 | + | 0.0104782i | |||||
26.5748 | 0.851076 | |||||||||
35.8983 | + | 14.6803i | 1.14908 | + | 0.469904i | |||||
10.6791 | 0.341656 | 0.170828 | − | 0.985301i | ||||||
0.170828 | + | 0.985301i | ||||||||
−24.5179 | − | 7.40724i | −0.783995 | − | 0.236858i | |||||
18.1701 | − | 18.1701i | 0.580720 | − | 0.580720i | |||||
3.12135 | + | 15.5092i | 0.0997077 | + | 0.495424i | |||||
6.41441 | + | 6.41441i | 0.204796 | + | 0.204796i | |||||
10.5780 | − | 5.66938i | 0.337557 | − | 0.180917i | |||||
− | 48.9907i | − | 1.56256i | −0.624180 | − | 0.781280i | ||||
0.624180 | − | 0.781280i | ||||||||
14.1976 | + | 1.34987i | 0.452602 | + | 0.0430323i | |||||
− | 20.3274i | − | 0.647683i | |||||||
5.94401 | + | 11.0904i | 0.189296 | + | 0.353189i | |||||
−1.03813 | − | 1.03813i | −0.0330442 | − | 0.0330442i | |||||
4.87943 | − | 7.33834i | 0.155235 | − | 0.233464i | |||||
2.55653 | − | 2.55653i | 0.0812929 | − | 0.0812929i | |||||
−1.22569 | + | 4.05703i | −0.0389551 | + | 0.128941i | |||||
52.6490 | 1.67245 | 0.836225 | − | 0.548386i | ||||||
0.836225 | + | 0.548386i | ||||||||
−27.4643 | + | 2.86140i | −0.871992 | + | 0.0908495i | |||||
−60.5010 | −1.91994 | |||||||||
−0.479681 | + | 1.58774i | −0.0152146 | + | 0.0503600i | |||||
8.79957 | − | 8.79957i | 0.278965 | − | 0.278965i | |||||
−22.8109 | + | 34.3061i | −0.722790 | + | 1.08703i | |||||
−26.0987 | − | 26.0987i | −0.826554 | − | 0.826554i | 0.160485 | − | 0.987038i | ||
−0.987038 | + | 0.160485i | ||||||||
11.0658 | + | 20.6467i | 0.350282 | + | 0.653558i | |||||
− | 6.54988i | − | 0.207229i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 368.2.j.d.277.6 | yes | 24 | |
4.3 | odd | 2 | 1472.2.j.d.369.9 | 24 | |||
16.3 | odd | 4 | 1472.2.j.d.1105.9 | 24 | |||
16.13 | even | 4 | inner | 368.2.j.d.93.6 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
368.2.j.d.93.6 | ✓ | 24 | 16.13 | even | 4 | inner | |
368.2.j.d.277.6 | yes | 24 | 1.1 | even | 1 | trivial | |
1472.2.j.d.369.9 | 24 | 4.3 | odd | 2 | |||
1472.2.j.d.1105.9 | 24 | 16.3 | odd | 4 |