Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(323,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.323");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 1008.v (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 | 323.2 | ||
Character | 1008.323 | ||
Dual form | 1008.2.v.e.827.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.39680 | + | 0.221233i | −0.987688 | + | 0.156435i | |||||
0 | 0 | |||||||||
1.90211 | − | 0.618037i | 0.951056 | − | 0.309018i | |||||
−2.51504 | − | 2.51504i | −1.12476 | − | 1.12476i | −0.991016 | − | 0.133742i | ||
−0.133742 | − | 0.991016i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.377964 | |||||||||
−2.52014 | + | 1.28408i | −0.891006 | + | 0.453992i | |||||
0 | 0 | |||||||||
4.06942 | + | 2.95660i | 1.28686 | + | 0.934959i | |||||
−0.984548 | + | 0.984548i | −0.296852 | + | 0.296852i | −0.839780 | − | 0.542927i | ||
0.542927 | + | 0.839780i | ||||||||
0 | 0 | |||||||||
−3.26086 | − | 3.26086i | −0.904399 | − | 0.904399i | 0.0914142 | − | 0.995813i | ||
−0.995813 | + | 0.0914142i | ||||||||
−1.39680 | + | 0.221233i | −0.373311 | + | 0.0591269i | |||||
0 | 0 | |||||||||
3.23606 | − | 2.35115i | 0.809015 | − | 0.587787i | |||||
5.50927i | 1.33619i | 0.744074 | + | 0.668097i | ||||||
−0.744074 | + | 0.668097i | ||||||||
0 | 0 | |||||||||
−1.21444 | + | 1.21444i | −0.278613 | + | 0.278613i | −0.832555 | − | 0.553942i | ||
0.553942 | + | 0.832555i | ||||||||
−6.33826 | − | 3.22950i | −1.41728 | − | 0.722137i | |||||
0 | 0 | |||||||||
1.15740 | − | 1.59303i | 0.246759 | − | 0.339636i | |||||
− | 8.62021i | − | 1.79744i | −0.438526 | − | 0.898719i | ||||
0.438526 | − | 0.898719i | ||||||||
0 | 0 | |||||||||
7.65081i | 1.53016i | |||||||||
5.27618 | + | 3.83336i | 1.03474 | + | 0.751784i | |||||
0 | 0 | |||||||||
1.90211 | − | 0.618037i | 0.359465 | − | 0.116798i | |||||
−2.04663 | + | 2.04663i | −0.380050 | + | 0.380050i | −0.871120 | − | 0.491070i | ||
0.491070 | + | 0.871120i | ||||||||
0 | 0 | |||||||||
0.164437i | 0.0295337i | 0.999891 | + | 0.0147669i | ||||||
−0.999891 | + | 0.0147669i | ||||||||
−3.99999 | + | 4.00001i | −0.707104 | + | 0.707109i | |||||
0 | 0 | |||||||||
−1.21883 | − | 7.69536i | −0.209028 | − | 1.31974i | |||||
−2.51504 | − | 2.51504i | −0.425119 | − | 0.425119i | |||||
0 | 0 | |||||||||
−8.31105 | + | 8.31105i | −1.36633 | + | 1.36633i | −0.500717 | + | 0.865611i | ||
−0.865611 | + | 0.500717i | ||||||||
1.42766 | − | 1.96501i | 0.231598 | − | 0.318767i | |||||
0 | 0 | |||||||||
9.56777 | + | 3.10874i | 1.51280 | + | 0.491534i | |||||
9.56578 | 1.49392 | 0.746962 | − | 0.664867i | ||||||
0.746962 | + | 0.664867i | ||||||||
0 | 0 | |||||||||
5.01867 | + | 5.01867i | 0.765340 | + | 0.765340i | 0.977282 | − | 0.211942i | ||
−0.211942 | + | 0.977282i | ||||||||
−1.26423 | + | 2.48121i | −0.190590 | + | 0.374056i | |||||
0 | 0 | |||||||||
1.90707 | + | 12.0407i | 0.281182 | + | 1.77531i | |||||
3.37837 | 0.492786 | 0.246393 | − | 0.969170i | ||||||
0.246393 | + | 0.969170i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.142857 | |||||||||
−1.69261 | − | 10.6867i | −0.239371 | − | 1.51132i | |||||
0 | 0 | |||||||||
−8.21784 | − | 4.18719i | −1.13961 | − | 0.580658i | |||||
3.72717 | + | 3.72717i | 0.511966 | + | 0.511966i | 0.915129 | − | 0.403162i | ||
−0.403162 | + | 0.915129i | ||||||||
0 | 0 | |||||||||
4.95235 | 0.667774 | |||||||||
−2.52014 | + | 1.28408i | −0.336768 | + | 0.171593i | |||||
0 | 0 | |||||||||
2.40596 | − | 3.31153i | 0.315918 | − | 0.434825i | |||||
−10.0781 | + | 10.0781i | −1.31206 | + | 1.31206i | −0.392162 | + | 0.919896i | ||
−0.919896 | + | 0.392162i | ||||||||
0 | 0 | |||||||||
−1.07042 | − | 1.07042i | −0.137054 | − | 0.137054i | 0.635252 | − | 0.772305i | ||
−0.772305 | + | 0.635252i | ||||||||
−0.0363788 | − | 0.229686i | −0.00462011 | − | 0.0291701i | |||||
0 | 0 | |||||||||
4.70226 | − | 6.47216i | 0.587782 | − | 0.809019i | |||||
16.4023i | 2.03446i | |||||||||
0 | 0 | |||||||||
−3.12073 | + | 3.12073i | −0.381258 | + | 0.381258i | −0.871555 | − | 0.490297i | ||
0.490297 | + | 0.871555i | ||||||||
3.40493 | + | 10.4793i | 0.412909 | + | 1.27080i | |||||
0 | 0 | |||||||||
4.06942 | + | 2.95660i | 0.486388 | + | 0.353381i | |||||
7.66257i | 0.909380i | 0.890650 | + | 0.454690i | ||||||
−0.890650 | + | 0.454690i | ||||||||
0 | 0 | |||||||||
− | 8.40588i | − | 0.983834i | −0.870642 | − | 0.491917i | ||||
0.870642 | − | 0.491917i | ||||||||
9.77021 | − | 13.4476i | 1.13576 | − | 1.56325i | |||||
0 | 0 | |||||||||
−1.55944 | + | 3.06058i | −0.178880 | + | 0.351073i | |||||
−0.984548 | + | 0.984548i | −0.112200 | + | 0.112200i | |||||
0 | 0 | |||||||||
13.8712i | 1.56063i | 0.625387 | + | 0.780315i | ||||||
−0.625387 | + | 0.780315i | ||||||||
−14.0520 | − | 2.22559i | −1.57107 | − | 0.248828i | |||||
0 | 0 | |||||||||
−13.3615 | + | 2.11626i | −1.47553 | + | 0.233702i | |||||
−7.31214 | − | 7.31214i | −0.802611 | − | 0.802611i | 0.180892 | − | 0.983503i | ||
−0.983503 | + | 0.180892i | ||||||||
0 | 0 | |||||||||
13.8560 | − | 13.8560i | 1.50290 | − | 1.50290i | |||||
−8.12038 | − | 5.89979i | −0.875643 | − | 0.636191i | |||||
0 | 0 | |||||||||
1.21696 | − | 3.74545i | 0.129728 | − | 0.399266i | |||||
7.49158 | 0.794106 | 0.397053 | − | 0.917796i | ||||||
0.397053 | + | 0.917796i | ||||||||
0 | 0 | |||||||||
−3.26086 | − | 3.26086i | −0.341831 | − | 0.341831i | |||||
−5.32760 | − | 16.3966i | −0.555441 | − | 1.70946i | |||||
0 | 0 | |||||||||
−4.71891 | + | 0.747406i | −0.486719 | + | 0.0770890i | |||||
6.10874 | 0.626744 | |||||||||
0 | 0 | |||||||||
−7.84085 | −0.796118 | −0.398059 | − | 0.917360i | ||||||
−0.398059 | + | 0.917360i | ||||||||
−1.39680 | + | 0.221233i | −0.141098 | + | 0.0223479i | |||||
0 | 0 | |||||||||
4.72848 | + | 14.5527i | 0.472848 | + | 1.45527i | |||||
0.748257 | + | 0.748257i | 0.0744543 | + | 0.0744543i | 0.743353 | − | 0.668899i | ||
−0.668899 | + | 0.743353i | ||||||||
0 | 0 | |||||||||
−11.8161 | −1.16428 | −0.582140 | − | 0.813089i | ||||||
−0.582140 | + | 0.813089i | ||||||||
12.4050 | + | 4.03061i | 1.21641 | + | 0.395234i | |||||
0 | 0 | |||||||||
−6.03069 | − | 4.38155i | −0.585753 | − | 0.425574i | |||||
−4.41189 | + | 4.41189i | −0.426514 | + | 0.426514i | −0.887439 | − | 0.460925i | ||
0.460925 | + | 0.887439i | ||||||||
0 | 0 | |||||||||
−0.128743 | − | 0.128743i | −0.0123314 | − | 0.0123314i | 0.700914 | − | 0.713246i | ||
−0.713246 | + | 0.700914i | ||||||||
−6.91745 | + | 1.09562i | −0.659553 | + | 0.104463i | |||||
0 | 0 | |||||||||
3.23606 | − | 2.35115i | 0.305779 | − | 0.222163i | |||||
14.3042i | 1.34563i | 0.739811 | + | 0.672815i | ||||||
−0.739811 | + | 0.672815i | ||||||||
0 | 0 | |||||||||
−21.6801 | + | 21.6801i | −2.02168 | + | 2.02168i | |||||
−2.62803 | + | 5.15782i | −0.244007 | + | 0.478892i | |||||
0 | 0 | |||||||||
11.8475 | − | 16.3067i | 1.09065 | − | 1.50116i | |||||
5.50927i | 0.505034i | |||||||||
0 | 0 | |||||||||
9.06133i | 0.823757i | |||||||||
1.73198 | + | 1.25836i | 0.156806 | + | 0.113926i | |||||
0 | 0 | |||||||||
0.101628 | + | 0.312777i | 0.00912646 | + | 0.0280882i | |||||
6.66689 | − | 6.66689i | 0.596304 | − | 0.596304i | |||||
0 | 0 | |||||||||
1.31914i | 0.117055i | 0.998286 | + | 0.0585274i | ||||||
−0.998286 | + | 0.0585274i | ||||||||
−5.13627 | + | 10.0806i | −0.453986 | + | 0.891009i | |||||
0 | 0 | |||||||||
−3.62873 | − | 22.9108i | −0.318261 | − | 2.00941i | |||||
−3.84141 | − | 3.84141i | −0.335626 | − | 0.335626i | 0.519093 | − | 0.854718i | ||
−0.854718 | + | 0.519093i | ||||||||
0 | 0 | |||||||||
−1.21444 | + | 1.21444i | −0.105306 | + | 0.105306i | |||||
3.66863 | − | 5.04945i | 0.316922 | − | 0.436206i | |||||
0 | 0 | |||||||||
−7.07437 | − | 13.8842i | −0.606622 | − | 1.19056i | |||||
−11.8262 | −1.01038 | −0.505191 | − | 0.863008i | ||||||
−0.505191 | + | 0.863008i | ||||||||
0 | 0 | |||||||||
−10.6322 | − | 10.6322i | −0.901814 | − | 0.901814i | 0.0937788 | − | 0.995593i | ||
−0.995593 | + | 0.0937788i | ||||||||
−6.33826 | − | 3.22950i | −0.535681 | − | 0.272942i | |||||
0 | 0 | |||||||||
−1.69521 | − | 10.7031i | −0.142259 | − | 0.898184i | |||||
6.42094 | 0.536946 | |||||||||
0 | 0 | |||||||||
10.2947 | 0.854930 | |||||||||
1.85966 | + | 11.7413i | 0.153906 | + | 0.971721i | |||||
0 | 0 | |||||||||
−10.6720 | + | 20.9451i | −0.877234 | + | 1.72167i | |||||
9.66703 | + | 9.66703i | 0.791954 | + | 0.791954i | 0.981812 | − | 0.189858i | ||
−0.189858 | + | 0.981812i | ||||||||
0 | 0 | |||||||||
−5.05132 | −0.411070 | −0.205535 | − | 0.978650i | ||||||
−0.205535 | + | 0.978650i | ||||||||
1.50113 | − | 4.62002i | 0.121757 | − | 0.374733i | |||||
0 | 0 | |||||||||
1.15740 | − | 1.59303i | 0.0932663 | − | 0.128370i | |||||
0.413565 | − | 0.413565i | 0.0332183 | − | 0.0332183i | |||||
0 | 0 | |||||||||
11.1102 | + | 11.1102i | 0.886692 | + | 0.886692i | 0.994204 | − | 0.107512i | ||
−0.107512 | + | 0.994204i | ||||||||
−3.06876 | − | 19.3753i | −0.244137 | − | 1.54142i | |||||
0 | 0 | |||||||||
20.1203 | 6.79865e-5i | 1.59065 | 5.37480e-6i | |||||||
− | 8.62021i | − | 0.679367i | |||||||
0 | 0 | |||||||||
0.936756 | − | 0.936756i | 0.0733724 | − | 0.0733724i | −0.669468 | − | 0.742841i | ||
0.742841 | + | 0.669468i | ||||||||
18.1952 | − | 5.91200i | 1.42080 | − | 0.461650i | |||||
0 | 0 | |||||||||
11.8313 | + | 8.59592i | 0.918286 | + | 0.667173i | |||||
− | 17.9147i | − | 1.38628i | −0.720804 | − | 0.693139i | ||||
0.720804 | − | 0.693139i | ||||||||
0 | 0 | |||||||||
8.26636i | 0.635874i | |||||||||
−16.2887 | + | 22.4195i | −1.24929 | + | 1.71950i | |||||
0 | 0 | |||||||||
12.6478 | + | 6.44435i | 0.964385 | + | 0.491377i | |||||
−1.95689 | + | 1.95689i | −0.148780 | + | 0.148780i | −0.777573 | − | 0.628793i | ||
0.628793 | + | 0.777573i | ||||||||
0 | 0 | |||||||||
7.65081i | 0.578347i | |||||||||
−0.871238 | + | 5.50088i | −0.0656720 | + | 0.414644i | |||||
0 | 0 | |||||||||
−10.4643 | + | 1.65738i | −0.784329 | + | 0.124226i | |||||
16.4536 | + | 16.4536i | 1.22980 | + | 1.22980i | 0.964039 | + | 0.265760i | ||
0.265760 | + | 0.964039i | ||||||||
0 | 0 | |||||||||
2.01639 | − | 2.01639i | 0.149877 | − | 0.149877i | −0.628186 | − | 0.778063i | ||
0.778063 | + | 0.628186i | ||||||||
5.27618 | + | 3.83336i | 0.391096 | + | 0.284148i | |||||
0 | 0 | |||||||||
11.0691 | + | 21.7242i | 0.816023 | + | 1.60153i | |||||
41.8052 | 3.07358 | |||||||||
0 | 0 | |||||||||
−5.42414 | − | 5.42414i | −0.396653 | − | 0.396653i | |||||
6.42604 | − | 2.08796i | 0.468667 | − | 0.152280i | |||||
0 | 0 | |||||||||
−8.53270 | + | 1.35145i | −0.619027 | + | 0.0980447i | |||||
−6.72330 | −0.486481 | −0.243240 | − | 0.969966i | ||||||
−0.243240 | + | 0.969966i | ||||||||
0 | 0 | |||||||||
1.37543 | 0.0990058 | 0.0495029 | − | 0.998774i | ||||||
0.0495029 | + | 0.998774i | ||||||||
10.9521 | − | 1.73465i | 0.786316 | − | 0.124541i | |||||
0 | 0 | |||||||||
1.90211 | − | 0.618037i | 0.135865 | − | 0.0441455i | |||||
−10.2035 | − | 10.2035i | −0.726967 | − | 0.726967i | 0.243048 | − | 0.970014i | ||
−0.970014 | + | 0.243048i | ||||||||
0 | 0 | |||||||||
−14.9391 | −1.05900 | −0.529501 | − | 0.848309i | ||||||
−0.529501 | + | 0.848309i | ||||||||
−9.82429 | − | 19.2811i | −0.694682 | − | 1.36338i | |||||
0 | 0 | |||||||||
−1.21071 | − | 0.879628i | −0.0851849 | − | 0.0618904i | |||||
−2.04663 | + | 2.04663i | −0.143646 | + | 0.143646i | |||||
0 | 0 | |||||||||
−24.0583 | − | 24.0583i | −1.68030 | − | 1.68030i | |||||
16.5048 | − | 2.61412i | 1.14994 | − | 0.182134i | |||||
0 | 0 | |||||||||
−18.2191 | − | 2.88557i | −1.26327 | − | 0.200078i | |||||
− | 2.39136i | − | 0.165414i | |||||||
0 | 0 | |||||||||
4.93531 | − | 4.93531i | 0.339761 | − | 0.339761i | −0.516516 | − | 0.856277i | ||
0.856277 | + | 0.516516i | ||||||||
9.39303 | + | 4.78597i | 0.645116 | + | 0.328702i | |||||
0 | 0 | |||||||||
5.18648 | − | 7.13859i | 0.354541 | − | 0.487984i | |||||
− | 25.2443i | − | 1.72164i | |||||||
0 | 0 | |||||||||
0.164437i | 0.0111627i | |||||||||
0.208311 | + | 0.151347i | 0.0141086 | + | 0.0102505i | |||||
0 | 0 | |||||||||
9.41992 | − | 3.06073i | 0.635091 | − | 0.206354i | |||||
17.9649 | − | 17.9649i | 1.20845 | − | 1.20845i | |||||
0 | 0 | |||||||||
− | 5.25747i | − | 0.352066i | −0.984384 | − | 0.176033i | ||||
0.984384 | − | 0.176033i | ||||||||
−3.99999 | + | 4.00001i | −0.267260 | + | 0.267262i | |||||
0 | 0 | |||||||||
−3.16456 | − | 19.9802i | −0.210504 | − | 1.32906i | |||||
−6.30931 | − | 6.30931i | −0.418763 | − | 0.418763i | 0.466014 | − | 0.884777i | ||
−0.884777 | + | 0.466014i | ||||||||
0 | 0 | |||||||||
19.1785 | − | 19.1785i | 1.26735 | − | 1.26735i | 0.319899 | − | 0.947452i | ||
0.947452 | − | 0.319899i | ||||||||
25.4865 | − | 35.0792i | 1.68053 | − | 2.31305i | |||||
0 | 0 | |||||||||
2.52976 | − | 7.78586i | 0.166087 | − | 0.511167i | |||||
−0.555029 | −0.0363611 | −0.0181806 | − | 0.999835i | ||||||
−0.0181806 | + | 0.999835i | ||||||||
0 | 0 | |||||||||
−8.49672 | − | 8.49672i | −0.554265 | − | 0.554265i | |||||
−12.9411 | + | 25.3983i | −0.842391 | + | 1.65329i | |||||
0 | 0 | |||||||||
−1.21883 | − | 7.69536i | −0.0790051 | − | 0.498816i | |||||
−23.0408 | −1.49039 | −0.745194 | − | 0.666848i | ||||||
−0.745194 | + | 0.666848i | ||||||||
0 | 0 | |||||||||
−7.47827 | −0.481718 | −0.240859 | − | 0.970560i | ||||||
−0.240859 | + | 0.970560i | ||||||||
−2.00466 | − | 12.6569i | −0.128865 | − | 0.813615i | |||||
0 | 0 | |||||||||
−2.69762 | − | 1.37450i | −0.172698 | − | 0.0879936i | |||||
−2.51504 | − | 2.51504i | −0.160680 | − | 0.160680i | |||||
0 | 0 | |||||||||
7.92026 | 0.503954 | |||||||||
−0.211151 | − | 0.414405i | −0.0134081 | − | 0.0263147i | |||||
0 | 0 | |||||||||
−7.83739 | + | 10.7873i | −0.495680 | + | 0.682246i | |||||
18.7049 | − | 18.7049i | 1.18064 | − | 1.18064i | 0.201066 | − | 0.979578i | ||
0.979578 | − | 0.201066i | ||||||||
0 | 0 | |||||||||
8.48701 | + | 8.48701i | 0.533574 | + | 0.533574i | |||||
−0.291837 | − | 1.84258i | −0.0183115 | − | 0.115614i | |||||
0 | 0 | |||||||||
4.94419 | − | 15.2169i | 0.309012 | − | 0.951058i | |||||
− | 18.3076i | − | 1.14200i | −0.820951 | − | 0.570998i | ||||
0.820951 | − | 0.570998i | ||||||||
0 | 0 | |||||||||
−8.31105 | + | 8.31105i | −0.516423 | + | 0.516423i | |||||
10.1372 | + | 31.1991i | 0.628685 | + | 1.93489i | |||||
0 | 0 | |||||||||
6.21554 | + | 4.51584i | 0.383997 | + | 0.278990i | |||||
− | 20.1306i | − | 1.24130i | −0.784086 | − | 0.620652i | ||||
0.784086 | − | 0.620652i | ||||||||
0 | 0 | |||||||||
− | 18.7479i | − | 1.15168i | |||||||
1.42766 | − | 1.96501i | 0.0875357 | − | 0.120483i | |||||
0 | 0 | |||||||||
−4.00725 | + | 7.86470i | −0.244782 | + | 0.480413i | |||||
−8.69779 | + | 8.69779i | −0.530313 | + | 0.530313i | −0.920666 | − | 0.390352i | ||
0.390352 | + | 0.920666i | ||||||||
0 | 0 | |||||||||
11.6299i | 0.706466i | 0.935535 | + | 0.353233i | ||||||
−0.935535 | + | 0.353233i | ||||||||
12.9531 | + | 17.8283i | 0.785399 | + | 1.08100i | |||||
0 | 0 | |||||||||
16.5189 | − | 2.61635i | 0.997942 | − | 0.158059i | |||||
−7.53259 | − | 7.53259i | −0.454232 | − | 0.454232i | |||||
0 | 0 | |||||||||
22.9876 | − | 22.9876i | 1.38119 | − | 1.38119i | 0.538679 | − | 0.842511i | ||
0.842511 | − | 0.538679i | ||||||||
17.2033 | + | 12.4989i | 1.03179 | + | 0.749636i | |||||
0 | 0 | |||||||||
9.56777 | + | 3.10874i | 0.571784 | + | 0.185783i | |||||
11.5187 | 0.687148 | 0.343574 | − | 0.939126i | ||||||
0.343574 | + | 0.939126i | ||||||||
0 | 0 | |||||||||
−15.6255 | − | 15.6255i | −0.928839 | − | 0.928839i | 0.0687924 | − | 0.997631i | ||
−0.997631 | + | 0.0687924i | ||||||||
4.73575 | + | 14.5751i | 0.281015 | + | 0.864872i | |||||
0 | 0 | |||||||||
−8.96878 | + | 1.42052i | −0.530335 | + | 0.0839972i | |||||
9.56578 | 0.564650 | |||||||||
0 | 0 | |||||||||
−13.3521 | −0.785417 | |||||||||
−14.3797 | + | 2.27753i | −0.844404 | + | 0.133741i | |||||
0 | 0 | |||||||||
−5.19514 | − | 15.9889i | −0.304023 | − | 0.935681i | |||||
−3.77816 | − | 3.77816i | −0.220722 | − | 0.220722i | 0.588080 | − | 0.808803i | ||
−0.808803 | + | 0.588080i | ||||||||
0 | 0 | |||||||||
50.6936 | 2.95150 | |||||||||
10.2730 | − | 31.6171i | 0.597104 | − | 1.83771i | |||||
0 | 0 | |||||||||
−15.6416 | − | 11.3643i | −0.906093 | − | 0.658314i | |||||
−28.1093 | + | 28.1093i | −1.62560 | + | 1.62560i | |||||
0 | 0 | |||||||||
5.01867 | + | 5.01867i | 0.289271 | + | 0.289271i | |||||
7.05569 | − | 1.11752i | 0.406009 | − | 0.0643058i | |||||
0 | 0 | |||||||||
−1.07468 | + | 6.78536i | −0.0616369 | + | 0.389167i | |||||
5.38430i | 0.308304i | |||||||||
0 | 0 | |||||||||
0.708546 | − | 0.708546i | 0.0404389 | − | 0.0404389i | −0.686598 | − | 0.727037i | ||
0.727037 | + | 0.686598i | ||||||||
−1.26423 | + | 2.48121i | −0.0720364 | + | 0.141380i | |||||
0 | 0 | |||||||||
−0.486174 | + | 0.669162i | −0.0276128 | + | 0.0380058i | |||||
21.6074i | 1.22525i | 0.790376 | + | 0.612623i | ||||||
−0.790376 | + | 0.612623i | ||||||||
0 | 0 | |||||||||
5.11637i | 0.289194i | 0.989491 | + | 0.144597i | ||||||
−0.989491 | + | 0.144597i | ||||||||
−17.9767 | − | 13.0608i | −1.01448 | − | 0.737065i | |||||
0 | 0 | |||||||||
8.57290 | + | 26.3845i | 0.482263 | + | 1.48425i | |||||
−7.88622 | + | 7.88622i | −0.442934 | + | 0.442934i | −0.892997 | − | 0.450063i | ||
0.450063 | + | 0.892997i | ||||||||
0 | 0 | |||||||||
− | 4.03002i | − | 0.225638i | |||||||
−28.1040 | + | 4.45136i | −1.57106 | + | 0.248839i | |||||
0 | 0 | |||||||||
1.90707 | + | 12.0407i | 0.106277 | + | 0.671003i | |||||
−6.69070 | − | 6.69070i | −0.372281 | − | 0.372281i | |||||
0 | 0 | |||||||||
24.9482 | − | 24.9482i | 1.38388 | − | 1.38388i | |||||
−1.10122 | + | 1.51570i | −0.0609911 | + | 0.0839471i | |||||
0 | 0 | |||||||||
−24.1071 | + | 12.2833i | −1.33109 | + | 0.678230i | |||||
3.37837 | 0.186256 | |||||||||
0 | 0 | |||||||||
0.144453 | + | 0.144453i | 0.00793985 | + | 0.00793985i | 0.711066 | − | 0.703126i | ||
−0.703126 | + | 0.711066i | ||||||||
−18.4277 | − | 9.38934i | −1.01135 | − | 0.515307i | |||||
0 | 0 | |||||||||
3.96331 | + | 25.0232i | 0.216862 | + | 1.36921i | |||||
15.6975 | 0.857646 | |||||||||
0 | 0 | |||||||||
−18.3255 | −0.998256 | −0.499128 | − | 0.866528i | ||||||
−0.499128 | + | 0.866528i | ||||||||
−1.82879 | − | 11.5465i | −0.0994731 | − | 0.628045i | |||||
0 | 0 | |||||||||
17.7922 | − | 34.9192i | 0.964916 | − | 1.89376i | |||||
−0.161896 | − | 0.161896i | −0.00876716 | − | 0.00876716i | |||||
0 | 0 | |||||||||
1.00000 | 0.0539949 | |||||||||
−19.0922 | − | 6.20338i | −1.02938 | − | 0.334464i | |||||
0 | 0 | |||||||||
2.30046 | − | 3.16632i | 0.123674 | − | 0.170222i | |||||
−7.70010 | + | 7.70010i | −0.413363 | + | 0.413363i | −0.882908 | − | 0.469545i | ||
0.469545 | + | 0.882908i | ||||||||
0 | 0 | |||||||||
9.23902 | + | 9.23902i | 0.494553 | + | 0.494553i | 0.909737 | − | 0.415184i | ||
−0.415184 | + | 0.909737i | ||||||||
−1.69261 | − | 10.6867i | −0.0904738 | − | 0.571226i | |||||
0 | 0 | |||||||||
−2.66143e−5 | − | 7.87638i | −1.41855e−6 | − | 0.419813i | |||||
13.9051i | 0.740092i | 0.929013 | + | 0.370046i | ||||||
−0.929013 | + | 0.370046i | ||||||||
0 | 0 | |||||||||
19.2716 | − | 19.2716i | 1.02283 | − | 1.02283i | |||||
14.2498 | − | 4.63007i | 0.755239 | − | 0.245393i | |||||
0 | 0 | |||||||||
−26.6225 | − | 19.3423i | −1.40704 | − | 1.02227i | |||||
− | 20.3979i | − | 1.07656i | −0.842766 | − | 0.538281i | ||||
0.842766 | − | 0.538281i | ||||||||
0 | 0 | |||||||||
16.0503i | 0.844750i | |||||||||
−2.37041 | + | 3.26259i | −0.124586 | + | 0.171478i | |||||
0 | 0 | |||||||||
−8.21784 | − | 4.18719i | −0.430732 | − | 0.219468i | |||||
−21.1411 | + | 21.1411i | −1.10658 | + | 1.10658i | |||||
0 | 0 | |||||||||
21.2755i | 1.11057i | 0.831660 | + | 0.555285i | ||||||
−0.831660 | + | 0.555285i | ||||||||
−20.2674 | − | 27.8955i | −1.05651 | − | 1.45415i | |||||
0 | 0 | |||||||||
−58.3936 | + | 9.24867i | −3.03574 | + | 0.480815i | |||||
3.72717 | + | 3.72717i | 0.193505 | + | 0.193505i | |||||
0 | 0 | |||||||||
14.6527 | − | 14.6527i | 0.758688 | − | 0.758688i | −0.217396 | − | 0.976084i | ||
0.976084 | + | 0.217396i | ||||||||
8.77645 | + | 6.37646i | 0.453820 | + | 0.329719i | |||||
0 | 0 | |||||||||
−8.51398 | + | 4.33811i | −0.439075 | + | 0.223721i | |||||
13.3476 | 0.687434 | |||||||||
0 | 0 | |||||||||
−8.85565 | − | 8.85565i | −0.454884 | − | 0.454884i | 0.442088 | − | 0.896972i | ||
−0.896972 | + | 0.442088i | ||||||||
11.6195 | − | 3.77543i | 0.596068 | − | 0.193675i | |||||
0 | 0 | |||||||||
9.39111 | − | 1.48741i | 0.480491 | − | 0.0761027i | |||||
−33.3573 | −1.70448 | −0.852238 | − | 0.523154i | ||||||
−0.852238 | + | 0.523154i | ||||||||
0 | 0 | |||||||||
4.95235 | 0.252395 | |||||||||
−1.92121 | + | 0.304291i | −0.0977869 | + | 0.0154880i | |||||
0 | 0 | |||||||||
−14.9142 | + | 4.84593i | −0.757153 | + | 0.246015i | |||||
2.00738 | + | 2.00738i | 0.101778 | + | 0.101778i | 0.756162 | − | 0.654384i | ||
−0.654384 | + | 0.756162i | ||||||||
0 | 0 | |||||||||
47.4911 | 2.40173 | |||||||||
−2.52014 | + | 1.28408i | −0.127287 | + | 0.0648560i | |||||
0 | 0 | |||||||||
16.5096 | + | 11.9949i | 0.831739 | + | 0.604293i | |||||
34.8865 | − | 34.8865i | 1.75533 | − | 1.75533i | |||||
0 | 0 | |||||||||
−2.43985 | − | 2.43985i | −0.122453 | − | 0.122453i | 0.643225 | − | 0.765677i | ||
−0.765677 | + | 0.643225i | ||||||||
20.8669 | − | 3.30501i | 1.04596 | − | 0.165665i | |||||
0 | 0 | |||||||||
17.9882 | + | 24.7585i | 0.899410 | + | 1.23792i | |||||
11.6798i | 0.583263i | 0.956531 | + | 0.291632i | ||||||
−0.956531 | + | 0.291632i | ||||||||
0 | 0 | |||||||||
0.536205 | − | 0.536205i | 0.0267103 | − | 0.0267103i | |||||
1.88572 | + | 0.960818i | 0.0938180 | + | 0.0478025i | |||||
0 | 0 | |||||||||
2.40596 | − | 3.31153i | 0.119406 | − | 0.164348i | |||||
− | 16.3653i | − | 0.811195i | |||||||
0 | 0 | |||||||||
15.2951i | 0.756292i | 0.925746 | + | 0.378146i | ||||||
−0.925746 | + | 0.378146i | ||||||||
38.9271 | + | 28.2822i | 1.92247 | + | 1.39676i | |||||
0 | 0 | |||||||||
−22.4756 | + | 7.30281i | −1.10729 | + | 0.359784i | |||||
−10.0781 | + | 10.0781i | −0.495911 | + | 0.495911i | |||||
0 | 0 | |||||||||
36.7806i | 1.80549i | |||||||||
26.0868 | 8.81475e-5i | 1.27901 | 4.32179e-6i | |||||||
0 | 0 | |||||||||
0.529046 | + | 3.34025i | 0.0258765 | + | 0.163377i | |||||
13.1833 | + | 13.1833i | 0.644045 | + | 0.644045i | 0.951547 | − | 0.307502i | ||
−0.307502 | + | 0.951547i | ||||||||
0 | 0 | |||||||||
−22.2574 | + | 22.2574i | −1.08476 | + | 1.08476i | −0.0887017 | + | 0.996058i | ||
−0.996058 | + | 0.0887017i | ||||||||
−5.80180 | + | 7.98550i | −0.282427 | + | 0.388728i | |||||
0 | 0 | |||||||||
−14.1790 | − | 4.60701i | −0.688594 | − | 0.223736i | |||||
−42.1504 | −2.04459 | |||||||||
0 | 0 | |||||||||
−1.07042 | − | 1.07042i | −0.0518014 | − | 0.0518014i | |||||
−5.66520 | + | 11.1186i | −0.273838 | + | 0.537439i | |||||
0 | 0 | |||||||||
5.58486 | + | 35.2612i | 0.269326 | + | 1.70045i | |||||
−19.0326 | −0.916769 | −0.458385 | − | 0.888754i | ||||||
−0.458385 | + | 0.888754i | ||||||||
0 | 0 | |||||||||
−31.7120 | −1.52398 | −0.761992 | − | 0.647587i | ||||||
−0.761992 | + | 0.647587i | ||||||||
−0.0363788 | − | 0.229686i | −0.00174624 | − | 0.0110253i | |||||
0 | 0 | |||||||||
−0.324452 | − | 0.165316i | −0.0155384 | − | 0.00791720i | |||||
10.4688 | + | 10.4688i | 0.500789 | + | 0.500789i | |||||
0 | 0 | |||||||||
32.9521 | 1.57272 | 0.786359 | − | 0.617770i | ||||||
0.786359 | + | 0.617770i | ||||||||
−12.4806 | + | 6.35923i | −0.594991 | + | 0.303164i | |||||
0 | 0 | |||||||||
−21.1190 | + | 29.0679i | −1.00453 | + | 1.38262i | |||||
−4.94776 | + | 4.94776i | −0.235075 | + | 0.235075i | −0.814807 | − | 0.579732i | ||
0.579732 | + | 0.814807i | ||||||||
0 | 0 | |||||||||
−18.8416 | − | 18.8416i | −0.893177 | − | 0.893177i | |||||
1.16312 | + | 7.34365i | 0.0550755 | + | 0.347732i | |||||
0 | 0 | |||||||||
4.70226 | − | 6.47216i | 0.222161 | − | 0.305781i | |||||
− | 31.5258i | − | 1.48779i | −0.668294 | − | 0.743897i | ||||
0.668294 | − | 0.743897i | ||||||||
0 | 0 | |||||||||
−9.41796 | + | 9.41796i | −0.443475 | + | 0.443475i | |||||
8.84054 | + | 27.2083i | 0.415824 | + | 1.27977i | |||||
0 | 0 | |||||||||
10.2087 | + | 7.41703i | 0.479117 | + | 0.348098i | |||||
16.4023i | 0.768954i | |||||||||
0 | 0 | |||||||||
35.2517i | 1.64901i | 0.565857 | + | 0.824503i | ||||||
−0.565857 | + | 0.824503i | ||||||||
−22.5456 | + | 31.0315i | −1.05349 | + | 1.45001i | |||||
0 | 0 | |||||||||
−27.8389 | + | 54.6372i | −1.29800 | + | 2.54747i | |||||
−15.8769 | + | 15.8769i | −0.739462 | + | 0.739462i | −0.972474 | − | 0.233012i | ||
0.233012 | + | 0.972474i | ||||||||
0 | 0 | |||||||||
− | 15.9217i | − | 0.739946i | −0.929043 | − | 0.369973i | ||||
0.929043 | − | 0.369973i | ||||||||
−1.81109 | + | 11.4350i | −0.0840778 | + | 0.530855i | |||||
0 | 0 | |||||||||
0.775265 | − | 0.122790i | 0.0359135 | − | 0.00568816i | |||||
−6.52420 | − | 6.52420i | −0.301904 | − | 0.301904i | 0.539854 | − | 0.841758i | ||
−0.841758 | + | 0.539854i | ||||||||
0 | 0 | |||||||||
−3.12073 | + | 3.12073i | −0.144102 | + | 0.144102i | |||||
13.7480 | + | 9.98848i | 0.634147 | + | 0.460734i | |||||
0 | 0 | |||||||||
12.4572 | − | 38.3394i | 0.573387 | − | 1.76472i | |||||
−9.88224 | −0.454386 | |||||||||
0 | 0 | |||||||||
−9.29148 | − | 9.29148i | −0.426323 | − | 0.426323i | |||||
3.40493 | + | 10.4793i | 0.156065 | + | 0.480316i | |||||
0 | 0 | |||||||||
32.1835 | − | 5.09738i | 1.47204 | − | 0.233149i | |||||
−31.5891 | −1.44334 | −0.721671 | − | 0.692237i | ||||||
−0.721671 | + | 0.692237i | ||||||||
0 | 0 | |||||||||
54.2023 | 2.47141 | |||||||||
10.4457 | − | 1.65444i | 0.475787 | − | 0.0753576i | |||||
0 | 0 | |||||||||
5.60023 | + | 17.2357i | 0.254556 | + | 0.783439i | |||||
19.7200 | + | 19.7200i | 0.895440 | + | 0.895440i | |||||
0 | 0 | |||||||||
−29.4810 | −1.33591 | −0.667955 | − | 0.744202i | ||||||
−0.667955 | + | 0.744202i | ||||||||
4.07213 | + | 1.32311i | 0.184337 | + | 0.0598942i | |||||
0 | 0 | |||||||||
4.06942 | + | 2.95660i | 0.183837 | + | 0.133566i | |||||
−6.06862 | + | 6.06862i | −0.273873 | + | 0.273873i | −0.830657 | − | 0.556784i | ||
0.556784 | + | 0.830657i | ||||||||
0 | 0 | |||||||||
−11.2755 | − | 11.2755i | −0.507821 | − | 0.507821i | |||||
−11.0630 | + | 1.75222i | −0.497749 | + | 0.0788361i | |||||
0 | 0 | |||||||||
0.386616 | + | 0.532128i | 0.0173596 | + | 0.0238932i | |||||
7.66257i | 0.343713i | |||||||||
0 | 0 | |||||||||
15.8968 | − | 15.8968i | 0.711638 | − | 0.711638i | −0.255240 | − | 0.966878i | ||
0.966878 | + | 0.255240i | ||||||||
8.56079 | − | 16.8015i | 0.382850 | − | 0.751388i | |||||
0 | 0 | |||||||||
−21.9889 | + | 30.2652i | −0.981414 | + | 1.35080i | |||||
17.1978i | 0.766813i | 0.923580 | + | 0.383406i | ||||||
−0.923580 | + | 0.383406i | ||||||||
0 | 0 | |||||||||
− | 3.76379i | − | 0.167486i | |||||||
−13.7323 | − | 9.97707i | −0.610474 | − | 0.443535i | |||||
0 | 0 | |||||||||
0.815278 | + | 2.50916i | 0.0361721 | + | 0.111326i | |||||
0.959431 | − | 0.959431i | 0.0425260 | − | 0.0425260i | −0.685524 | − | 0.728050i | ||
0.728050 | + | 0.685524i | ||||||||
0 | 0 | |||||||||
− | 8.40588i | − | 0.371854i | |||||||
−3.53957 | + | 22.3489i | −0.156428 | + | 0.987689i | |||||
0 | 0 | |||||||||
4.05024 | + | 25.5721i | 0.178648 | + | 1.12794i | |||||
29.7180 | + | 29.7180i | 1.30953 | + | 1.30953i | |||||
0 | 0 | |||||||||
−3.32617 | + | 3.32617i | −0.146285 | + | 0.146285i | |||||
9.77021 | − | 13.4476i | 0.429279 | − | 0.590852i | |||||
0 | 0 | |||||||||
−21.0620 | − | 41.3363i | −0.923629 | − | 1.81272i | |||||
−9.04026 | −0.396061 | −0.198030 | − | 0.980196i | ||||||
−0.198030 | + | 0.980196i | ||||||||
0 | 0 | |||||||||
−5.32615 | − | 5.32615i | −0.232896 | − | 0.232896i | 0.581004 | − | 0.813901i | ||
−0.813901 | + | 0.581004i | ||||||||
−9.68093 | − | 4.93266i | −0.422913 | − | 0.215484i | |||||
0 | 0 | |||||||||
4.45354 | + | 28.1184i | 0.194184 | + | 1.22602i | |||||
−0.905927 | −0.0394628 | |||||||||
0 | 0 | |||||||||
−51.3080 | −2.23078 | |||||||||
4.14766 | + | 26.1872i | 0.180163 | + | 1.13750i | |||||
0 | 0 | |||||||||
−1.55944 | + | 3.06058i | −0.0676102 | + | 0.132693i | |||||
−31.1926 | − | 31.1926i | −1.35110 | − | 1.35110i | |||||
0 | 0 | |||||||||
22.1921 | 0.959449 | |||||||||
3.85741 | − | 11.8720i | 0.166615 | − | 0.512791i | |||||
0 | 0 | |||||||||
10.2249 | − | 14.0733i | 0.440825 | − | 0.606744i | |||||
−0.984548 | + | 0.984548i | −0.0424075 | + | 0.0424075i | |||||
0 | 0 | |||||||||
12.7082 | + | 12.7082i | 0.546367 | + | 0.546367i | 0.925388 | − | 0.379021i | ||
−0.379021 | + | 0.925388i | ||||||||
−2.57291 | − | 16.2447i | −0.110516 | − | 0.697768i | |||||
0 | 0 | |||||||||
−22.0372 | − | 22.0370i | −0.944836 | − | 0.944829i | |||||
0.647588i | 0.0277396i | |||||||||
0 | 0 | |||||||||
19.7217 | − | 19.7217i | 0.843239 | − | 0.843239i | −0.146040 | − | 0.989279i | ||
0.989279 | + | 0.146040i | ||||||||
−22.4948 | + | 7.30904i | −0.960930 | + | 0.312227i | |||||
0 | 0 | |||||||||
12.1880 | + | 8.85508i | 0.519698 | + | 0.377582i | |||||
− | 4.97105i | − | 0.211774i | |||||||
0 | 0 | |||||||||
13.8712i | 0.589863i | |||||||||
−27.0235 | + | 37.1947i | −1.14812 | + | 1.58025i | |||||
0 | 0 | |||||||||
−26.7948 | − | 13.6526i | −1.13635 | − | 0.578999i | |||||
32.2571 | − | 32.2571i | 1.36678 | − | 1.36678i | 0.501789 | − | 0.864990i | ||
0.864990 | − | 0.501789i | ||||||||
0 | 0 | |||||||||
− | 32.7303i | − | 1.38434i | |||||||
−14.0520 | − | 2.22559i | −0.593807 | − | 0.0940481i | |||||
0 | 0 | |||||||||
−16.0893 | + | 2.54831i | −0.678688 | + | 0.107494i | |||||
−27.0814 | − | 27.0814i | −1.14134 | − | 1.14134i | −0.988205 | − | 0.153138i | ||
−0.153138 | − | 0.988205i | ||||||||
0 | 0 | |||||||||
35.9757 | − | 35.9757i | 1.51351 | − | 1.51351i | |||||
25.2826 | + | 18.3688i | 1.06271 | + | 0.772100i | |||||
0 | 0 | |||||||||
−9.83939 | − | 19.3108i | −0.412852 | − | 0.810263i | |||||
28.4823 | 1.19404 | 0.597020 | − | 0.802226i | ||||||
0.597020 | + | 0.802226i | ||||||||
0 | 0 | |||||||||
15.8844 | + | 15.8844i | 0.664743 | + | 0.664743i | 0.956494 | − | 0.291751i | ||
−0.291751 | + | 0.956494i | ||||||||
12.2133 | − | 3.96837i | 0.510666 | − | 0.165926i | |||||
0 | 0 | |||||||||
−13.3615 | + | 2.11626i | −0.557698 | + | 0.0883311i | |||||
65.9516 | 2.75037 | |||||||||
0 | 0 | |||||||||
4.65713 | 0.193879 | 0.0969395 | − | 0.995290i | ||||||
0.0969395 | + | 0.995290i | ||||||||
18.6502 | − | 2.95392i | 0.775747 | − | 0.122867i | |||||
0 | 0 | |||||||||
19.5817 | − | 6.36251i | 0.813086 | − | 0.264189i | |||||
−7.31214 | − | 7.31214i | −0.303359 | − | 0.303359i | |||||
0 | 0 | |||||||||
−7.33916 | −0.303957 | |||||||||
10.7939 | + | 21.1840i | 0.446653 | + | 0.876601i | |||||
0 | 0 | |||||||||
6.11319 | + | 4.44149i | 0.252534 | + | 0.183476i | |||||
−13.2034 | + | 13.2034i | −0.544963 | + | 0.544963i | −0.924980 | − | 0.380017i | ||
0.380017 | + | 0.924980i | ||||||||
0 | 0 | |||||||||
−0.199699 | − | 0.199699i | −0.00822847 | − | 0.00822847i | |||||
−70.8090 | + | 11.2151i | −2.91516 | + | 0.461718i | |||||
0 | 0 | |||||||||
−7.35455 | + | 46.4356i | −0.302270 | + | 1.90849i | |||||
8.00745i | 0.328827i | 0.986392 | + | 0.164413i | ||||||
−0.986392 | + | 0.164413i | ||||||||
0 | 0 | |||||||||
13.8560 | − | 13.8560i | 0.568041 | − | 0.568041i | |||||
24.3624 | + | 12.4132i | 0.997921 | + | 0.508464i | |||||
0 | 0 | |||||||||
33.0444 | − | 45.4817i | 1.35129 | − | 1.85989i | |||||
− | 29.8782i | − | 1.22079i | −0.792096 | − | 0.610396i | ||||
0.792096 | − | 0.610396i | ||||||||
0 | 0 | |||||||||
− | 28.4594i | − | 1.16088i | −0.814302 | − | 0.580441i | ||||
0.814302 | − | 0.580441i | ||||||||
−8.12038 | − | 5.89979i | −0.330962 | − | 0.240458i | |||||
0 | 0 | |||||||||
−9.60817 | + | 3.12190i | −0.390951 | + | 0.127028i | |||||
22.7896 | − | 22.7896i | 0.926528 | − | 0.926528i | |||||
0 | 0 | |||||||||
27.1606i | 1.10242i | 0.834368 | + | 0.551208i | ||||||
−0.834368 | + | 0.551208i | ||||||||
−3.28289e−5 | − | 9.71555i | −1.33139e−6 | − | 0.394018i | |||||
0 | 0 | |||||||||
−1.19118 | − | 7.52080i | −0.0482296 | − | 0.304508i | |||||
−11.0164 | − | 11.0164i | −0.445675 | − | 0.445675i | |||||
0 | 0 | |||||||||
−25.1239 | + | 25.1239i | −1.01474 | + | 1.01474i | −0.0148539 | + | 0.999890i | ||
−0.999890 | + | 0.0148539i | ||||||||
−0.832946 | + | 1.14645i | −0.0336149 | + | 0.0462671i | |||||
0 | 0 | |||||||||
1.21696 | − | 3.74545i | 0.0490327 | − | 0.150908i | |||||
−20.2712 | −0.816089 | −0.408044 | − | 0.912962i | ||||||
−0.408044 | + | 0.912962i | ||||||||
0 | 0 | |||||||||
−13.2344 | − | 13.2344i | −0.531937 | − | 0.531937i | 0.389211 | − | 0.921148i | ||
−0.921148 | + | 0.389211i | ||||||||
0.531048 | − | 1.04224i | 0.0213274 | − | 0.0418575i | |||||
0 | 0 | |||||||||
−4.78027 | − | 30.1813i | −0.191671 | − | 1.21016i | |||||
7.49158 | 0.300144 | |||||||||
0 | 0 | |||||||||
4.71914 | 0.188766 | |||||||||
−1.13191 | − | 7.14655i | −0.0452401 | − | 0.285634i | |||||
0 | 0 | |||||||||
27.9994 | + | 14.2664i | 1.11730 | + | 0.569290i | |||||
−45.7878 | − | 45.7878i | −1.82568 | − | 1.82568i | |||||
0 | 0 | |||||||||
−47.8911 | −1.90651 | −0.953257 | − | 0.302161i | ||||||
−0.953257 | + | 0.302161i | ||||||||
−17.8118 | − | 34.9574i | −0.708514 | − | 1.39053i | |||||
0 | 0 | |||||||||
9.27080 | − | 12.7602i | 0.368191 | − | 0.506771i | |||||
3.31769 | − | 3.31769i | 0.131658 | − | 0.131658i | |||||
0 | 0 | |||||||||
−3.26086 | − | 3.26086i | −0.129200 | − | 0.129200i | |||||
0.891572 | + | 5.62914i | 0.0352977 | + | 0.222860i | |||||
0 | 0 | |||||||||
38.2710 | − | 12.4352i | 1.51279 | − | 0.491545i | |||||
23.5861i | 0.931595i | 0.884891 | + | 0.465797i | ||||||
−0.884891 | + | 0.465797i | ||||||||
0 | 0 | |||||||||
−29.9073 | + | 29.9073i | −1.17943 | + | 1.17943i | −0.199537 | + | 0.979890i | ||
−0.979890 | + | 0.199537i | ||||||||
−5.32760 | − | 16.3966i | −0.209937 | − | 0.646117i | |||||
0 | 0 | |||||||||
10.8258 | + | 7.86539i | 0.425935 | + | 0.309460i | |||||
− | 35.8559i | − | 1.40964i | −0.709385 | − | 0.704821i | ||||
0.709385 | − | 0.704821i | ||||||||
0 | 0 | |||||||||
− | 19.8448i | − | 0.778975i | |||||||
−29.3283 | + | 40.3670i | −1.15035 | + | 1.58333i | |||||
0 | 0 | |||||||||
1.20287 | − | 2.36077i | 0.0471079 | − | 0.0924547i | |||||
−26.7966 | + | 26.7966i | −1.04863 | + | 1.04863i | −0.0498765 | + | 0.998755i | ||
−0.998755 | + | 0.0498765i | ||||||||
0 | 0 | |||||||||
19.3226i | 0.754995i | |||||||||
30.9554 | − | 22.4906i | 1.20861 | − | 0.878109i | |||||
0 | 0 | |||||||||
−4.71891 | + | 0.747406i | −0.183962 | + | 0.0291369i | |||||
−19.9220 | − | 19.9220i | −0.776050 | − | 0.776050i | 0.203107 | − | 0.979157i | ||
−0.979157 | + | 0.203107i | ||||||||
0 | 0 | |||||||||
3.02969 | − | 3.02969i | 0.117841 | − | 0.117841i | −0.645727 | − | 0.763568i | ||
0.763568 | + | 0.645727i | ||||||||
−0.233730 | − | 0.169814i | −0.00908417 | − | 0.00660003i | |||||
0 | 0 | |||||||||
27.8170 | + | 9.03824i | 1.07951 | + | 0.350752i | |||||
6.10874 | 0.236887 | |||||||||
0 | 0 | |||||||||
17.6424 | + | 17.6424i | 0.683117 | + | 0.683117i | |||||
−11.0719 | − | 34.0757i | −0.428385 | − | 1.31843i | |||||
0 | 0 | |||||||||
−21.9263 | + | 3.47280i | −0.847087 | + | 0.134166i | |||||
2.10776 | 0.0813693 | |||||||||
0 | 0 | |||||||||
41.8102 | 1.61166 | 0.805832 | − | 0.592144i | ||||||
0.805832 | + | 0.592144i | ||||||||
25.5972 | − | 4.05421i | 0.985965 | − | 0.156162i | |||||
0 | 0 | |||||||||
5.10892 | + | 15.7236i | 0.196497 | + | 0.604752i | |||||
−11.0622 | − | 11.0622i | −0.425154 | − | 0.425154i | 0.461820 | − | 0.886974i | ||
−0.886974 | + | 0.461820i | ||||||||
0 | 0 | |||||||||
−7.84085 | −0.300904 | |||||||||
−17.1269 | + | 52.7115i | −0.656786 | + | 2.02139i | |||||
0 | 0 | |||||||||
0.261953 | + | 0.190320i | 0.0100307 | + | 0.00728773i | |||||
−25.6844 | + | 25.6844i | −0.982786 | + | 0.982786i | −0.999854 | − | 0.0170687i | ||
0.0170687 | + | 0.999854i | ||||||||
0 | 0 | |||||||||
29.7434 | + | 29.7434i | 1.13644 | + | 1.13644i | |||||
−1.39680 | + | 0.221233i | −0.0533302 | + | 0.00844670i | |||||
0 | 0 | |||||||||
28.0404 | + | 4.44108i | 1.06903 | + | 0.169315i | |||||
− | 24.3075i | − | 0.926044i | |||||||
0 | 0 | |||||||||
15.7276 | − | 15.7276i | 0.598306 | − | 0.598306i | −0.341556 | − | 0.939862i | ||
0.939862 | + | 0.341556i | ||||||||
−2.51280 | + | 4.93166i | −0.0955222 | + | 0.187474i | |||||
0 | 0 | |||||||||
9.05200 | − | 12.4590i | 0.343609 | − | 0.472938i | |||||
53.4809i | 2.02865i | |||||||||
0 | 0 | |||||||||
52.7005i | 1.99617i | |||||||||
−14.9490 | − | 10.8611i | −0.565830 | − | 0.411099i | |||||
0 | 0 | |||||||||
4.72848 | + | 14.5527i | 0.178720 | + | 0.550040i | |||||
−4.35804 | + | 4.35804i | −0.164601 | + | 0.164601i | −0.784601 | − | 0.620000i | ||
0.620000 | + | 0.784601i | ||||||||
0 | 0 | |||||||||
− | 20.1866i | − | 0.761352i | |||||||
1.74255 | + | 11.0017i | 0.0656748 | + | 0.414644i | |||||
0 | 0 | |||||||||
−3.07626 | − | 19.4226i | −0.115776 | − | 0.730981i | |||||
0.748257 | + | 0.748257i | 0.0281411 | + | 0.0281411i | |||||
0 | 0 | |||||||||
−2.68056 | + | 2.68056i | −0.100670 | + | 0.100670i | −0.755648 | − | 0.654978i | ||
0.654978 | + | 0.755648i | ||||||||
−22.6552 | + | 31.1822i | −0.850233 | + | 1.17025i | |||||
0 | 0 | |||||||||
−18.8799 | + | 9.61982i | −0.707553 | + | 0.360518i | |||||
1.41748 | 0.0530850 | |||||||||
0 | 0 | |||||||||
−16.1489 | − | 16.1489i | −0.603934 | − | 0.603934i | |||||
41.4655 | + | 21.1277i | 1.54964 | + | 0.789578i | |||||
0 | 0 | |||||||||
4.51269 | + | 28.4919i | 0.168412 | + | 1.06331i | |||||
19.9117 | 0.742581 | 0.371290 | − | 0.928517i | ||||||
0.371290 | + | 0.928517i | ||||||||
0 | 0 | |||||||||
−11.8161 | −0.440056 | |||||||||
−3.55084 | − | 22.4190i | −0.132149 | − | 0.834350i | |||||
0 | 0 | |||||||||
2.58920 | − | 5.08160i | 0.0962268 | − | 0.188856i | |||||
−15.6584 | − | 15.6584i | −0.581539 | − | 0.581539i | |||||
0 | 0 | |||||||||
24.0642 | 0.892491 | 0.446246 | − | 0.894911i | ||||||
0.446246 | + | 0.894911i | ||||||||
12.4050 | + | 4.03061i | 0.459761 | + | 0.149385i | |||||
0 | 0 | |||||||||
24.8528 | − | 34.2070i | 0.919844 | − | 1.26606i | |||||
−27.6492 | + | 27.6492i | −1.02264 | + | 1.02264i | |||||
0 | 0 | |||||||||
−3.18890 | − | 3.18890i | −0.117785 | − | 0.117785i | 0.645758 | − | 0.763542i | ||
−0.763542 | + | 0.645758i | ||||||||
−4.70683 | − | 29.7176i | −0.173732 | − | 1.09690i | |||||
0 | 0 | |||||||||
34.4809 | + | 34.4807i | 1.27098 | + | 1.27098i | |||||
− | 6.14502i | − | 0.226355i | |||||||
0 | 0 | |||||||||
20.8311 | − | 20.8311i | 0.766285 | − | 0.766285i | −0.211165 | − | 0.977450i | ||
0.977450 | + | 0.211165i | ||||||||
79.5181 | − | 25.8371i | 2.92314 | − | 0.949792i | |||||
0 | 0 | |||||||||
−6.03069 | − | 4.38155i | −0.221394 | − | 0.160852i | |||||
28.6291i | 1.05030i | 0.851010 | + | 0.525150i | ||||||
−0.851010 | + | 0.525150i | ||||||||
0 | 0 | |||||||||
− | 48.6258i | − | 1.78151i | |||||||
−17.2253 | + | 23.7086i | −0.630662 | + | 0.868032i | |||||
0 | 0 | |||||||||
−13.6696 | − | 6.96501i | −0.499812 | − | 0.254666i | |||||
−4.41189 | + | 4.41189i | −0.161207 | + | 0.161207i | |||||
0 | 0 | |||||||||
− | 28.1706i | − | 1.02796i | −0.857802 | − | 0.513980i | ||||
0.857802 | − | 0.513980i | ||||||||
10.9326 | − | 7.94305i | 0.398671 | − | 0.289653i | |||||
0 | 0 | |||||||||
−18.6439 | + | 2.95292i | −0.678971 | + | 0.107539i | |||||
12.7042 | + | 12.7042i | 0.462355 | + | 0.462355i | |||||
0 | 0 | |||||||||
−4.64056 | + | 4.64056i | −0.168664 | + | 0.168664i | −0.786392 | − | 0.617728i | ||
0.617728 | + | 0.786392i | ||||||||
14.3287 | + | 10.4104i | 0.520444 | + | 0.378124i | |||||
0 | 0 | |||||||||
−15.3949 | + | 7.84414i | −0.558432 | + | 0.284537i | |||||
6.29768 | 0.228291 | 0.114145 | − | 0.993464i | ||||||
0.114145 | + | 0.993464i | ||||||||
0 | 0 | |||||||||
−0.128743 | − | 0.128743i | −0.00466082 | − | 0.00466082i | |||||
−12.7885 | + | 4.15524i | −0.462670 | + | 0.150331i | |||||
0 | 0 | |||||||||
46.5935 | − | 7.37972i | 1.68349 | − | 0.266640i | |||||
65.7265 | 2.37325 | |||||||||
0 | 0 | |||||||||
4.73382 | 0.170706 | 0.0853529 | − | 0.996351i | ||||||
0.0853529 | + | 0.996351i | ||||||||
−6.91745 | + | 1.09562i | −0.249288 | + | 0.0394834i | |||||
0 | 0 | |||||||||
2.61623 | − | 0.850068i | 0.0941601 | − | 0.0305946i | |||||
−5.44275 | − | 5.44275i | −0.195762 | − | 0.195762i | 0.602418 | − | 0.798180i | ||
−0.798180 | + | 0.602418i | ||||||||
0 | 0 | |||||||||
−1.25808 | −0.0451914 | |||||||||
19.7601 | − | 10.0683i | 0.709346 | − | 0.361431i | |||||
0 | 0 | |||||||||
−3.24801 | − | 2.35982i | −0.116447 | − | 0.0846035i | |||||
−11.6171 | + | 11.6171i | −0.416226 | + | 0.416226i | |||||
0 | 0 | |||||||||
−7.54417 | − | 7.54417i | −0.269952 | − | 0.269952i | |||||
−66.3356 | + | 10.5066i | −2.37216 | + | 0.375714i | |||||
0 | 0 | |||||||||
3.23606 | − | 2.35115i | 0.115574 | − | 0.0839696i | |||||
− | 55.8852i | − | 1.99463i | |||||||
0 | 0 | |||||||||
−27.1082 | + | 27.1082i | −0.966302 | + | 0.966302i | −0.999450 | − | 0.0331485i | ||
0.0331485 | + | 0.999450i | ||||||||
−25.7142 | − | 13.1020i | −0.916032 | − | 0.466740i | |||||
0 | 0 | |||||||||
−41.0115 | + | 56.4476i | −1.45912 | + | 2.00832i | |||||
14.3042i | 0.508600i | |||||||||
0 | 0 | |||||||||
6.98099i | 0.247902i | |||||||||
3.94777 | + | 2.86822i | 0.140101 | + | 0.101789i | |||||
0 | 0 | |||||||||
−28.4158 | + | 9.23289i | −1.00717 | + | 0.327251i | |||||
11.7301 | − | 11.7301i | 0.415501 | − | 0.415501i | −0.468149 | − | 0.883650i | ||
0.883650 | + | 0.468149i | ||||||||
0 | 0 | |||||||||
18.6124i | 0.658458i | |||||||||
−30.6033 | − | 30.6031i | −1.08199 | − | 1.08198i | |||||
0 | 0 | |||||||||
−2.58396 | − | 16.3144i | −0.0912429 | − | 0.576082i | |||||
8.27599 | + | 8.27599i | 0.292053 | + | 0.292053i | |||||
0 | 0 | |||||||||
−21.6801 | + | 21.6801i | −0.764124 | + | 0.764124i | |||||
−0.630346 | + | 0.867598i | −0.0222030 | + | 0.0305598i | |||||
0 | 0 | |||||||||
−2.84654 | − | 0.924890i | −0.100141 | − | 0.0325375i | |||||
−13.7126 | −0.482111 | −0.241055 | − | 0.970511i | ||||||
−0.241055 | + | 0.970511i | ||||||||
0 | 0 | |||||||||
22.2730 | + | 22.2730i | 0.782111 | + | 0.782111i | 0.980187 | − | 0.198076i | ||
−0.198076 | + | 0.980187i | ||||||||
−2.62803 | + | 5.15782i | −0.0922259 | + | 0.181004i | |||||
0 | 0 | |||||||||
3.62053 | + | 22.8590i | 0.126899 | + | 0.801208i | |||||
−4.71195 | −0.165052 | |||||||||
0 | 0 | |||||||||
−12.1898 | −0.426467 | |||||||||
−3.38377 | − | 21.3642i | −0.118311 | − | 0.746981i | |||||
0 | 0 | |||||||||
−60.6304 | − | 30.8926i | −2.11731 | − | 1.07882i | |||||
−0.690329 | − | 0.690329i | −0.0240926 | − | 0.0240926i | 0.694958 | − | 0.719050i | ||
−0.719050 | + | 0.694958i | ||||||||
0 | 0 | |||||||||
−1.43063 | −0.0498688 | −0.0249344 | − | 0.999689i | ||||||
−0.0249344 | + | 0.999689i | ||||||||
29.7784 | − | 15.1729i | 1.03738 | − | 0.528574i | |||||
0 | 0 | |||||||||
11.8475 | − | 16.3067i | 0.412228 | − | 0.567384i | |||||
−9.59770 | + | 9.59770i | −0.333745 | + | 0.333745i | −0.854007 | − | 0.520262i | ||
0.520262 | + | 0.854007i | ||||||||
0 | 0 | |||||||||
17.0260 | + | 17.0260i | 0.591337 | + | 0.591337i | 0.937992 | − | 0.346656i | ||
−0.346656 | + | 0.937992i | ||||||||
−8.13706 | − | 51.3752i | −0.282442 | − | 1.78326i | |||||
0 | 0 | |||||||||
−36.4381 | + | 5.77139i | −1.26327 | + | 0.200087i | |||||
5.50927i | 0.190885i | |||||||||
0 | 0 | |||||||||
−45.0560 | + | 45.0560i | −1.55923 | + | 1.55923i | |||||
−1.47795 | − | 4.54863i | −0.0511158 | − | 0.157318i | |||||
0 | 0 | |||||||||
−21.3310 | − | 15.4979i | −0.736867 | − | 0.535364i | |||||
29.0214i | 1.00193i | 0.865467 | + | 0.500965i | ||||||
−0.865467 | + | 0.500965i | ||||||||
0 | 0 | |||||||||
20.6226i | 0.711123i | |||||||||
26.1651 | − | 36.0133i | 0.901710 | − | 1.24110i | |||||
0 | 0 | |||||||||
6.33731 | − | 12.4377i | 0.218139 | − | 0.428124i | |||||
20.7902 | − | 20.7902i | 0.715205 | − | 0.715205i | |||||
0 | 0 | |||||||||
9.06133i | 0.311351i | |||||||||
20.8245 | + | 3.29822i | 0.715116 | + | 0.113261i | |||||
0 | 0 | |||||||||
58.8758 | − | 9.32505i | 2.01942 | − | 0.319846i | |||||
71.6430 | + | 71.6430i | 2.45589 | + | 2.45589i | |||||
0 | 0 | |||||||||
17.4096 | − | 17.4096i | 0.596092 | − | 0.596092i | −0.343178 | − | 0.939270i | ||
0.939270 | + | 0.343178i | ||||||||
1.73198 | + | 1.25836i | 0.0592672 | + | 0.0430600i | |||||
0 | 0 | |||||||||
5.45336 | − | 16.7838i | 0.186392 | − | 0.573660i | |||||
17.6637 | 0.603379 | 0.301690 | − | 0.953406i | ||||||
0.301690 | + | 0.953406i | ||||||||
0 | 0 | |||||||||
5.79823 | + | 5.79823i | 0.197833 | + | 0.197833i | 0.799070 | − | 0.601237i | ||
−0.601237 | + | 0.799070i | ||||||||
−15.6019 | − | 48.0174i | −0.532020 | − | 1.63738i | |||||
0 | 0 | |||||||||
26.5848 | − | 4.21064i | 0.905482 | − | 0.143415i | |||||
39.0789 | 1.33026 | 0.665131 | − | 0.746727i | ||||||
0.665131 | + | 0.746727i | ||||||||
0 | 0 | |||||||||
9.84331 | 0.334683 | |||||||||
44.2954 | − | 7.01574i | 1.50522 | − | 0.238405i | |||||
0 | 0 | |||||||||
0.101628 | + | 0.312777i | 0.00344948 | + | 0.0106164i | |||||
−13.6568 | − | 13.6568i | −0.463277 | − | 0.463277i | |||||
0 | 0 | |||||||||
20.3525 | 0.689618 | |||||||||
0.489769 | + | 0.159134i | 0.0165857 | + | 0.00538897i | |||||
0 | 0 | |||||||||
−16.9388 | − | 12.3068i | −0.572964 | − | 0.416282i | |||||
6.66689 | − | 6.66689i | 0.225382 | − | 0.225382i | |||||
0 | 0 | |||||||||
6.28950 | + | 6.28950i | 0.212381 | + | 0.212381i | 0.805278 | − | 0.592897i | ||
−0.592897 | + | 0.805278i | ||||||||
−46.0276 | + | 7.29008i | −1.55336 | + | 0.246028i | |||||
0 | 0 | |||||||||
16.0261 | − | 11.6437i | 0.540240 | − | 0.392509i | |||||
21.5545i | 0.726190i | 0.931752 | + | 0.363095i | ||||||
−0.931752 | + | 0.363095i | ||||||||
0 | 0 | |||||||||
5.85864 | − | 5.85864i | 0.197159 | − | 0.197159i | −0.601622 | − | 0.798781i | ||
0.798781 | + | 0.601622i | ||||||||
23.0683 | − | 45.2743i | 0.775872 | − | 1.52274i | |||||
0 | 0 | |||||||||
5.81643 | − | 8.00565i | 0.195407 | − | 0.268955i | |||||
− | 28.0138i | − | 0.940613i | −0.882503 | − | 0.470306i | ||||
0.882503 | − | 0.470306i | ||||||||
0 | 0 | |||||||||
1.31914i | 0.0442426i | |||||||||
30.4863 | + | 22.1496i | 1.02190 | + | 0.742456i | |||||
0 | 0 | |||||||||
−3.24931 | − | 10.0003i | −0.108795 | − | 0.334835i | |||||
−4.10284 | + | 4.10284i | −0.137296 | + | 0.137296i | |||||
0 | 0 | |||||||||
− | 82.7628i | − | 2.76645i | |||||||
−5.13627 | + | 10.0806i | −0.171591 | + | 0.336770i | |||||
0 | 0 | |||||||||
6.97454 | + | 44.0353i | 0.232743 | + | 1.46948i | |||||
−0.336542 | − | 0.336542i | −0.0112243 | − | 0.0112243i | |||||
0 | 0 | |||||||||
−20.5340 | + | 20.5340i | −0.684087 | + | 0.684087i | |||||
11.0715 | − | 15.2386i | 0.368640 | − | 0.507390i | |||||
0 | 0 | |||||||||
−18.3678 | − | 36.0487i | −0.610905 | − | 1.19896i | |||||
−10.1426 | −0.337151 | |||||||||
0 | 0 | |||||||||
3.74119 | + | 3.74119i | 0.124224 | + | 0.124224i | 0.766486 | − | 0.642262i | ||
−0.642262 | + | 0.766486i | ||||||||
−15.9004 | − | 8.10163i | −0.527673 | − | 0.268862i | |||||
0 | 0 | |||||||||
−3.62873 | − | 22.9108i | −0.120291 | − | 0.759486i | |||||
46.9910 | 1.55688 | 0.778441 | − | 0.627718i | ||||||
0.778441 | + | 0.627718i | ||||||||
0 | 0 | |||||||||
14.3983 | 0.476514 | |||||||||
−7.79883 | − | 49.2397i | −0.257963 | − | 1.62870i | |||||
0 | 0 | |||||||||
24.6266 | − | 48.3327i | 0.813687 | − | 1.59696i | |||||
−3.84141 | − | 3.84141i | −0.126855 | − | 0.126855i | |||||
0 | 0 | |||||||||
−28.7166 | −0.947272 | −0.473636 | − | 0.880721i | ||||||
−0.473636 | + | 0.880721i | ||||||||
26.7979 | − | 82.4762i | 0.883502 | − | 2.71916i | |||||
0 | 0 | |||||||||
18.6644 | − | 25.6894i | 0.614680 | − | 0.846035i | |||||
24.9866 | − | 24.9866i | 0.822442 | − | 0.822442i | |||||
0 | 0 | |||||||||
−63.5863 | − | 63.5863i | −2.09070 | − | 2.09070i | |||||
3.52241 | + | 22.2395i | 0.115754 | + | 0.730836i | |||||
0 | 0 | |||||||||
−5.53246e−5 | − | 16.3731i | −1.81612e−6 | − | 0.537472i | |||||
39.0905i | 1.28252i | 0.767325 | + | 0.641259i | ||||||
−0.767325 | + | 0.641259i | ||||||||
0 | 0 | |||||||||
−1.21444 | + | 1.21444i | −0.0398018 | + | 0.0398018i | |||||
−1.05573 | + | 0.343028i | −0.0345815 | + | 0.0112363i | |||||
0 | 0 | |||||||||
10.5564 | + | 7.66965i | 0.345416 | + | 0.250959i | |||||
27.2838i | 0.892277i | |||||||||
0 | 0 | |||||||||
22.0325i | 0.719770i | 0.932997 | + | 0.359885i | ||||||
−0.932997 | + | 0.359885i | ||||||||
3.66863 | − | 5.04945i | 0.119785 | − | 0.164870i | |||||
0 | 0 | |||||||||
−21.4130 | − | 10.9104i | −0.698415 | − | 0.355859i | |||||
−28.7845 | + | 28.7845i | −0.938349 | + | 0.938349i | −0.998207 | − | 0.0598579i | ||
0.0598579 | + | 0.998207i | ||||||||
0 | 0 | |||||||||
− | 82.4590i | − | 2.68523i | |||||||
−8.91824 | + | 56.3085i | −0.290264 | + | 1.83269i | |||||
0 | 0 | |||||||||
13.8035 | − | 2.18627i | 0.448792 | − | 0.0710819i | |||||
−8.81984 | − | 8.81984i | −0.286606 | − | 0.286606i | 0.549130 | − | 0.835737i | ||
−0.835737 | + | 0.549130i | ||||||||
0 | 0 | |||||||||
−27.4104 | + | 27.4104i | −0.889778 | + | 0.889778i | |||||
15.0339 | + | 10.9228i | 0.487766 | + | 0.354382i | |||||
0 | 0 | |||||||||
−7.07437 | − | 13.8842i | −0.229282 | − | 0.449988i | |||||
1.32312 | 0.0428599 | 0.0214300 | − | 0.999770i | ||||||
0.0214300 | + | 0.999770i | ||||||||
0 | 0 | |||||||||
16.9093 | + | 16.9093i | 0.547173 | + | 0.547173i | |||||
−43.8262 | + | 14.2401i | −1.41744 | + | 0.460557i | |||||
0 | 0 | |||||||||
44.1237 | − | 6.98853i | 1.42557 | − | 0.225789i | |||||
−11.8262 | −0.381889 | |||||||||
0 | 0 | |||||||||
30.9730 | 0.999128 | |||||||||
−75.7098 | + | 11.9913i | −2.44098 | + | 0.386615i | |||||
0 | 0 | |||||||||
−14.2245 | + | 4.62184i | −0.458141 | + | 0.148860i | |||||
−3.45926 | − | 3.45926i | −0.111358 | − | 0.111358i | |||||
0 | 0 | |||||||||
16.3028 | 0.524263 | 0.262132 | − | 0.965032i | ||||||
0.262132 | + | 0.965032i | ||||||||
−11.6355 | − | 22.8359i | −0.373979 | − | 0.733972i | |||||
0 | 0 | |||||||||
−31.9077 | − | 23.1823i | −1.02449 | − | 0.744338i | |||||
16.8788 | − | 16.8788i | 0.541666 | − | 0.541666i | −0.382351 | − | 0.924017i | ||
0.924017 | + | 0.382351i | ||||||||
0 | 0 | |||||||||
−10.6322 | − | 10.6322i | −0.340854 | − | 0.340854i | |||||
41.1791 | − | 6.52215i | 1.31946 | − | 0.208983i | |||||
0 | 0 | |||||||||
−5.98068 | − | 0.947229i | −0.191437 | − | 0.0303201i | |||||
1.46807i | 0.0469676i | 0.999724 | + | 0.0234838i | ||||||
−0.999724 | + | 0.0234838i | ||||||||
0 | 0 | |||||||||
−7.37582 | + | 7.37582i | −0.235732 | + | 0.235732i | |||||
−6.33826 | − | 3.22950i | −0.202468 | − | 0.103162i | |||||
0 | 0 | |||||||||
7.13408 | − | 9.81923i | 0.227658 | − | 0.313344i | |||||
− | 34.4565i | − | 1.09899i | −0.835496 | − | 0.549496i | ||||
0.835496 | − | 0.549496i | ||||||||
0 | 0 | |||||||||
51.3241i | 1.63532i | |||||||||
18.2441 | + | 13.2551i | 0.581010 | + | 0.422128i | |||||
0 | 0 | |||||||||
15.0652 | − | 4.89501i | 0.479288 | − | 0.155731i | |||||
43.2620 | − | 43.2620i | 1.37565 | − | 1.37565i | |||||
0 | 0 | |||||||||
− | 14.4789i | − | 0.459937i | −0.973198 | − | 0.229969i | ||||
0.973198 | − | 0.229969i | ||||||||
−0.657749 | − | 0.657745i | −0.0208836 | − | 0.0208834i | |||||
0 | 0 | |||||||||
−1.69521 | − | 10.7031i | −0.0537689 | − | 0.339482i | |||||
37.5723 | + | 37.5723i | 1.19112 | + | 1.19112i | |||||
0 | 0 | |||||||||
−32.5498 | + | 32.5498i | −1.03086 | + | 1.03086i | −0.0313557 | + | 0.999508i | ||
−0.999508 | + | 0.0313557i | ||||||||
−18.6878 | + | 25.7216i | −0.591551 | + | 0.814202i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1008.2.v.e.323.2 | ✓ | 40 | |
3.2 | odd | 2 | inner | 1008.2.v.e.323.19 | yes | 40 | |
4.3 | odd | 2 | 4032.2.v.e.1583.3 | 40 | |||
12.11 | even | 2 | 4032.2.v.e.1583.18 | 40 | |||
16.5 | even | 4 | 4032.2.v.e.3599.18 | 40 | |||
16.11 | odd | 4 | inner | 1008.2.v.e.827.19 | yes | 40 | |
48.5 | odd | 4 | 4032.2.v.e.3599.3 | 40 | |||
48.11 | even | 4 | inner | 1008.2.v.e.827.2 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1008.2.v.e.323.2 | ✓ | 40 | 1.1 | even | 1 | trivial | |
1008.2.v.e.323.19 | yes | 40 | 3.2 | odd | 2 | inner | |
1008.2.v.e.827.2 | yes | 40 | 48.11 | even | 4 | inner | |
1008.2.v.e.827.19 | yes | 40 | 16.11 | odd | 4 | inner | |
4032.2.v.e.1583.3 | 40 | 4.3 | odd | 2 | |||
4032.2.v.e.1583.18 | 40 | 12.11 | even | 2 | |||
4032.2.v.e.3599.3 | 40 | 48.5 | odd | 4 | |||
4032.2.v.e.3599.18 | 40 | 16.5 | even | 4 |