Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(91,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 450.h (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 150) |
Sato-Tate group: |
Embedding invariants
Embedding label | 361.1 | ||
Root | of defining polynomial | ||
Character | 450.361 | ||
Dual form | 450.2.h.c.91.1 |
-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 .
0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | |||||
0 | 0 | |||||||||
0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | |||||
−1.80902 | + | 1.31433i | −0.809017 | + | 0.587785i | |||||
0 | 0 | |||||||||
2.61803 | 0.989524 | 0.494762 | − | 0.869029i | ||||||
0.494762 | + | 0.869029i | ||||||||
−0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | |||||
0 | 0 | |||||||||
−0.690983 | + | 2.12663i | −0.218508 | + | 0.672499i | |||||
2.92705 | − | 2.12663i | 0.882539 | − | 0.641202i | −0.0513829 | − | 0.998679i | ||
0.933922 | + | 0.357477i | ||||||||
0 | 0 | |||||||||
5.23607 | + | 3.80423i | 1.45222 | + | 1.05510i | 0.985305 | + | 0.170802i | ||
0.466919 | + | 0.884300i | ||||||||
2.11803 | − | 1.53884i | 0.566068 | − | 0.411273i | |||||
0 | 0 | |||||||||
−0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | |||||
−0.381966 | − | 1.17557i | −0.0926404 | − | 0.285118i | 0.893991 | − | 0.448085i | ||
−0.986632 | + | 0.162967i | ||||||||
0 | 0 | |||||||||
−1.76393 | − | 5.42882i | −0.404674 | − | 1.24546i | −0.921167 | − | 0.389167i | ||
0.516494 | − | 0.856291i | ||||||||
0.690983 | + | 2.12663i | 0.154508 | + | 0.475528i | |||||
0 | 0 | |||||||||
1.11803 | − | 3.44095i | 0.238366 | − | 0.733614i | |||||
3.61803 | − | 2.62866i | 0.754412 | − | 0.548113i | −0.142779 | − | 0.989755i | ||
0.897191 | + | 0.441642i | ||||||||
0 | 0 | |||||||||
1.54508 | − | 4.75528i | 0.309017 | − | 0.951057i | |||||
6.47214 | 1.26929 | |||||||||
0 | 0 | |||||||||
0.809017 | − | 2.48990i | 0.152890 | − | 0.470547i | |||||
−2.61803 | + | 8.05748i | −0.486157 | + | 1.49624i | 0.344142 | + | 0.938918i | ||
−0.830299 | + | 0.557319i | ||||||||
0 | 0 | |||||||||
2.04508 | + | 6.29412i | 0.367308 | + | 1.13046i | 0.948523 | + | 0.316708i | ||
−0.581215 | + | 0.813750i | ||||||||
−1.00000 | −0.176777 | |||||||||
0 | 0 | |||||||||
−1.00000 | − | 0.726543i | −0.171499 | − | 0.124601i | |||||
−4.73607 | + | 3.44095i | −0.800542 | + | 0.581628i | |||||
0 | 0 | |||||||||
−6.47214 | − | 4.70228i | −1.06401 | − | 0.773050i | −0.0891861 | − | 0.996015i | ||
−0.974827 | + | 0.222965i | ||||||||
−4.61803 | − | 3.35520i | −0.749144 | − | 0.544285i | |||||
0 | 0 | |||||||||
1.80902 | + | 1.31433i | 0.286031 | + | 0.207813i | |||||
4.61803 | + | 3.35520i | 0.721216 | + | 0.523994i | 0.886772 | − | 0.462206i | ||
−0.165557 | + | 0.986200i | ||||||||
0 | 0 | |||||||||
−7.70820 | −1.17549 | −0.587745 | − | 0.809046i | ||||||
−0.587745 | + | 0.809046i | ||||||||
−1.11803 | − | 3.44095i | −0.168550 | − | 0.518743i | |||||
0 | 0 | |||||||||
1.38197 | − | 4.25325i | 0.203760 | − | 0.627108i | |||||
−0.527864 | + | 1.62460i | −0.0769969 | + | 0.236972i | −0.982145 | − | 0.188123i | ||
0.905149 | + | 0.425096i | ||||||||
0 | 0 | |||||||||
−0.145898 | −0.0208426 | |||||||||
−1.54508 | − | 4.75528i | −0.218508 | − | 0.672499i | |||||
0 | 0 | |||||||||
5.23607 | − | 3.80423i | 0.726112 | − | 0.527551i | |||||
0.645898 | − | 1.98787i | 0.0887209 | − | 0.273055i | −0.896846 | − | 0.442344i | ||
0.985566 | + | 0.169289i | ||||||||
0 | 0 | |||||||||
−2.50000 | + | 7.69421i | −0.337100 | + | 1.03749i | |||||
−0.809017 | − | 2.48990i | −0.108109 | − | 0.332727i | |||||
0 | 0 | |||||||||
2.61803 | + | 8.05748i | 0.343765 | + | 1.05800i | |||||
−2.92705 | − | 2.12663i | −0.381070 | − | 0.276863i | 0.380717 | − | 0.924692i | ||
−0.761786 | + | 0.647829i | ||||||||
0 | 0 | |||||||||
−2.23607 | + | 1.62460i | −0.286299 | + | 0.208009i | −0.721660 | − | 0.692247i | ||
0.435361 | + | 0.900256i | ||||||||
5.35410 | + | 3.88998i | 0.679972 | + | 0.494028i | |||||
0 | 0 | |||||||||
−0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | |||||
−14.4721 | −1.79505 | |||||||||
0 | 0 | |||||||||
−0.472136 | − | 1.45309i | −0.0576806 | − | 0.177523i | 0.918065 | − | 0.396430i | ||
−0.975746 | + | 0.218907i | ||||||||
−1.23607 | −0.149895 | |||||||||
0 | 0 | |||||||||
−1.80902 | + | 5.56758i | −0.216219 | + | 0.665453i | |||||
−1.70820 | + | 5.25731i | −0.202727 | + | 0.623928i | 0.797073 | + | 0.603884i | ||
−0.999799 | + | 0.0200445i | ||||||||
0 | 0 | |||||||||
−2.85410 | + | 2.07363i | −0.334047 | + | 0.242700i | −0.742146 | − | 0.670238i | ||
0.408099 | + | 0.912938i | ||||||||
−8.00000 | −0.929981 | |||||||||
0 | 0 | |||||||||
−5.70820 | −0.654776 | |||||||||
7.66312 | − | 5.56758i | 0.873293 | − | 0.634485i | |||||
0 | 0 | |||||||||
−1.73607 | + | 5.34307i | −0.195323 | + | 0.601142i | 0.804650 | + | 0.593750i | ||
−0.999973 | + | 0.00739236i | ||||||||
2.23607 | 0.250000 | |||||||||
0 | 0 | |||||||||
5.70820 | 0.630366 | |||||||||
−0.663119 | − | 2.04087i | −0.0727868 | − | 0.224015i | 0.908044 | − | 0.418874i | ||
−0.980831 | + | 0.194859i | ||||||||
0 | 0 | |||||||||
2.23607 | + | 1.62460i | 0.242536 | + | 0.176212i | |||||
−6.23607 | + | 4.53077i | −0.672453 | + | 0.488565i | |||||
0 | 0 | |||||||||
−2.92705 | − | 2.12663i | −0.312025 | − | 0.226699i | |||||
2.85410 | − | 2.07363i | 0.302534 | − | 0.219804i | −0.426152 | − | 0.904651i | ||
0.728686 | + | 0.684848i | ||||||||
0 | 0 | |||||||||
13.7082 | + | 9.95959i | 1.43701 | + | 1.04405i | |||||
−1.38197 | − | 4.25325i | −0.144080 | − | 0.443432i | |||||
0 | 0 | |||||||||
0.527864 | + | 1.62460i | 0.0544450 | + | 0.167565i | |||||
10.3262 | + | 7.50245i | 1.05945 | + | 0.769735i | |||||
0 | 0 | |||||||||
−1.04508 | + | 3.21644i | −0.106112 | + | 0.326580i | −0.989990 | − | 0.141138i | ||
0.883878 | + | 0.467718i | ||||||||
−0.118034 | + | 0.0857567i | −0.0119232 | + | 0.00866274i | |||||
0 | 0 | |||||||||
−4.04508 | − | 2.93893i | −0.404508 | − | 0.293893i | |||||
−4.38197 | −0.436022 | −0.218011 | − | 0.975946i | ||||||
−0.218011 | + | 0.975946i | ||||||||
0 | 0 | |||||||||
4.42705 | − | 13.6251i | 0.436210 | − | 1.34252i | −0.455631 | − | 0.890169i | ||
0.891841 | − | 0.452348i | ||||||||
2.00000 | − | 6.15537i | 0.196116 | − | 0.603583i | |||||
0 | 0 | |||||||||
−0.645898 | − | 1.98787i | −0.0627352 | − | 0.193079i | |||||
11.6180 | 1.12316 | 0.561579 | − | 0.827423i | ||||||
0.561579 | + | 0.827423i | ||||||||
0 | 0 | |||||||||
−13.9443 | − | 10.1311i | −1.33562 | − | 0.970384i | −0.999593 | − | 0.0285313i | ||
−0.336026 | − | 0.941853i | ||||||||
2.50000 | + | 7.69421i | 0.238366 | + | 0.733614i | |||||
0 | 0 | |||||||||
−2.11803 | − | 1.53884i | −0.200135 | − | 0.145407i | |||||
−15.5623 | − | 11.3067i | −1.46398 | − | 1.06364i | −0.982304 | − | 0.187292i | ||
−0.481674 | − | 0.876350i | ||||||||
0 | 0 | |||||||||
−3.09017 | + | 9.51057i | −0.288160 | + | 0.886865i | |||||
6.85410 | + | 4.97980i | 0.636387 | + | 0.462363i | |||||
0 | 0 | |||||||||
−3.61803 | −0.333067 | |||||||||
−1.00000 | − | 3.07768i | −0.0916698 | − | 0.282131i | |||||
0 | 0 | |||||||||
0.645898 | − | 1.98787i | 0.0587180 | − | 0.180715i | |||||
−0.854102 | + | 2.62866i | −0.0773268 | + | 0.237987i | |||||
0 | 0 | |||||||||
6.61803 | 0.594317 | |||||||||
3.45492 | + | 10.6331i | 0.309017 | + | 0.951057i | |||||
0 | 0 | |||||||||
−11.0172 | + | 8.00448i | −0.977620 | + | 0.710283i | −0.957176 | − | 0.289508i | ||
−0.0204448 | + | 0.999791i | ||||||||
−0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | |||||
0 | 0 | |||||||||
−11.7082 | + | 8.50651i | −1.02688 | + | 0.746070i | |||||
5.52786 | + | 17.0130i | 0.482972 | + | 1.48643i | 0.834897 | + | 0.550406i | ||
−0.351925 | + | 0.936028i | ||||||||
0 | 0 | |||||||||
−4.61803 | − | 14.2128i | −0.400434 | − | 1.23241i | |||||
−1.23607 | − | 0.898056i | −0.106780 | − | 0.0775802i | |||||
0 | 0 | |||||||||
−1.00000 | + | 0.726543i | −0.0857493 | + | 0.0623005i | |||||
−9.85410 | − | 7.15942i | −0.841893 | − | 0.611671i | 0.0810060 | − | 0.996714i | ||
−0.922899 | + | 0.385043i | ||||||||
0 | 0 | |||||||||
−8.47214 | + | 6.15537i | −0.718597 | + | 0.522091i | −0.885936 | − | 0.463808i | ||
0.167339 | + | 0.985899i | ||||||||
1.80902 | + | 5.56758i | 0.152890 | + | 0.470547i | |||||
0 | 0 | |||||||||
1.70820 | + | 5.25731i | 0.143349 | + | 0.441184i | |||||
23.4164 | 1.95818 | |||||||||
0 | 0 | |||||||||
−5.85410 | − | 18.0171i | −0.486157 | − | 1.49624i | |||||
−1.09017 | + | 3.35520i | −0.0902231 | + | 0.277678i | |||||
0 | 0 | |||||||||
−6.47214 | + | 4.70228i | −0.532006 | + | 0.386525i | |||||
−22.0902 | −1.80970 | −0.904849 | − | 0.425733i | ||||||
−0.904849 | + | 0.425733i | ||||||||
0 | 0 | |||||||||
18.3262 | 1.49137 | 0.745684 | − | 0.666300i | ||||||
0.745684 | + | 0.666300i | ||||||||
−4.61803 | + | 3.35520i | −0.374572 | + | 0.272143i | |||||
0 | 0 | |||||||||
2.92705 | − | 9.00854i | 0.235868 | − | 0.725929i | |||||
−11.9721 | − | 8.69827i | −0.961625 | − | 0.698662i | |||||
0 | 0 | |||||||||
8.65248 | 0.690543 | 0.345271 | − | 0.938503i | ||||||
0.345271 | + | 0.938503i | ||||||||
1.73607 | + | 5.34307i | 0.138114 | + | 0.425072i | |||||
0 | 0 | |||||||||
1.80902 | − | 1.31433i | 0.143015 | − | 0.103907i | |||||
9.47214 | − | 6.88191i | 0.746509 | − | 0.542370i | |||||
0 | 0 | |||||||||
0.381966 | + | 0.277515i | 0.0299179 | + | 0.0217366i | 0.602644 | − | 0.798010i | ||
−0.572726 | + | 0.819747i | ||||||||
4.61803 | − | 3.35520i | 0.360608 | − | 0.261997i | |||||
0 | 0 | |||||||||
−1.73607 | − | 1.26133i | −0.134745 | − | 0.0978980i | |||||
−3.61803 | − | 11.1352i | −0.279972 | − | 0.861665i | −0.987861 | − | 0.155341i | ||
0.707889 | − | 0.706324i | ||||||||
0 | 0 | |||||||||
8.92705 | + | 27.4746i | 0.686696 | + | 2.11343i | |||||
2.76393 | 0.211984 | |||||||||
0 | 0 | |||||||||
−2.38197 | + | 7.33094i | −0.181623 | + | 0.558979i | |||||
4.11803 | − | 2.99193i | 0.313088 | − | 0.227472i | −0.420132 | − | 0.907463i | ||
0.733221 | + | 0.679991i | ||||||||
0 | 0 | |||||||||
4.04508 | − | 12.4495i | 0.305780 | − | 0.941093i | |||||
−3.61803 | −0.272720 | |||||||||
0 | 0 | |||||||||
1.09017 | − | 3.35520i | 0.0817117 | − | 0.251483i | |||||
−3.04508 | + | 9.37181i | −0.227600 | + | 0.700482i | 0.770417 | + | 0.637540i | ||
−0.998017 | + | 0.0629414i | ||||||||
0 | 0 | |||||||||
−2.05573 | − | 6.32688i | −0.152801 | − | 0.470273i | 0.845130 | − | 0.534560i | ||
−0.997931 | + | 0.0642869i | ||||||||
16.9443 | 1.25599 | |||||||||
0 | 0 | |||||||||
−3.61803 | − | 2.62866i | −0.266725 | − | 0.193787i | |||||
17.8885 | 1.31519 | |||||||||
0 | 0 | |||||||||
−3.61803 | − | 2.62866i | −0.264577 | − | 0.192226i | |||||
1.38197 | + | 1.00406i | 0.100790 | + | 0.0732284i | |||||
0 | 0 | |||||||||
12.7639 | 0.925993 | |||||||||
3.47214 | + | 2.52265i | 0.251235 | + | 0.182533i | 0.706274 | − | 0.707939i | ||
−0.455039 | + | 0.890472i | ||||||||
0 | 0 | |||||||||
17.8541 | 1.28517 | 0.642583 | − | 0.766216i | ||||||
0.642583 | + | 0.766216i | ||||||||
1.04508 | + | 3.21644i | 0.0750327 | + | 0.230927i | |||||
0 | 0 | |||||||||
−0.0450850 | + | 0.138757i | −0.00322036 | + | 0.00991123i | |||||
5.28115 | − | 16.2537i | 0.376267 | − | 1.15803i | −0.566354 | − | 0.824162i | ||
0.942620 | − | 0.333867i | ||||||||
0 | 0 | |||||||||
19.5066 | 1.38278 | 0.691392 | − | 0.722480i | ||||||
0.691392 | + | 0.722480i | ||||||||
−5.00000 | −0.353553 | |||||||||
0 | 0 | |||||||||
−3.54508 | + | 2.57565i | −0.249431 | + | 0.181222i | |||||
−6.85410 | + | 21.0948i | −0.481064 | + | 1.48056i | |||||
0 | 0 | |||||||||
−12.7639 | −0.891472 | |||||||||
−4.42705 | − | 13.6251i | −0.308447 | − | 0.949303i | |||||
0 | 0 | |||||||||
−2.00000 | − | 6.15537i | −0.138675 | − | 0.426798i | |||||
−16.7082 | − | 12.1392i | −1.15573 | − | 0.839687i | |||||
0 | 0 | |||||||||
2.76393 | − | 2.00811i | 0.190277 | − | 0.138244i | −0.488568 | − | 0.872526i | ||
0.678845 | + | 0.734281i | ||||||||
−1.69098 | − | 1.22857i | −0.116137 | − | 0.0843786i | |||||
0 | 0 | |||||||||
9.39919 | − | 6.82891i | 0.642515 | − | 0.466815i | |||||
13.9443 | − | 10.1311i | 0.950991 | − | 0.690936i | |||||
0 | 0 | |||||||||
5.35410 | + | 16.4782i | 0.363460 | + | 1.11862i | |||||
−17.2361 | −1.16737 | |||||||||
0 | 0 | |||||||||
6.54508 | + | 4.75528i | 0.441270 | + | 0.320601i | |||||
2.47214 | − | 7.60845i | 0.166294 | − | 0.511800i | |||||
0 | 0 | |||||||||
6.54508 | − | 4.75528i | 0.438291 | − | 0.318437i | −0.346664 | − | 0.937989i | ||
0.784956 | + | 0.619552i | ||||||||
−2.61803 | −0.174925 | |||||||||
0 | 0 | |||||||||
−19.2361 | −1.27956 | |||||||||
−18.0172 | + | 13.0903i | −1.19584 | + | 0.868832i | −0.993870 | − | 0.110558i | ||
−0.201975 | + | 0.979391i | ||||||||
0 | 0 | |||||||||
−1.70820 | + | 5.25731i | −0.112881 | + | 0.347413i | −0.991499 | − | 0.130113i | ||
0.878618 | + | 0.477525i | ||||||||
3.09017 | + | 9.51057i | 0.203760 | + | 0.627108i | |||||
0 | 0 | |||||||||
8.47214 | 0.556223 | |||||||||
−5.76393 | − | 17.7396i | −0.377608 | − | 1.16216i | −0.941702 | − | 0.336447i | ||
0.564095 | − | 0.825710i | ||||||||
0 | 0 | |||||||||
−1.18034 | − | 3.63271i | −0.0769969 | − | 0.236972i | |||||
−2.92705 | + | 2.12663i | −0.190535 | + | 0.138432i | |||||
0 | 0 | |||||||||
−2.61803 | − | 1.90211i | −0.169702 | − | 0.123296i | |||||
9.94427 | − | 7.22494i | 0.643241 | − | 0.467342i | −0.217721 | − | 0.976011i | ||
0.860962 | + | 0.508669i | ||||||||
0 | 0 | |||||||||
−7.73607 | − | 5.62058i | −0.498324 | − | 0.362054i | 0.310052 | − | 0.950719i | ||
−0.808376 | + | 0.588666i | ||||||||
−0.645898 | − | 1.98787i | −0.0415199 | − | 0.127785i | |||||
0 | 0 | |||||||||
0.854102 | + | 2.62866i | 0.0546783 | + | 0.168282i | |||||
0.263932 | − | 0.191758i | 0.0168620 | − | 0.0122510i | |||||
0 | 0 | |||||||||
11.4164 | − | 35.1361i | 0.726409 | − | 2.23566i | |||||
5.35410 | − | 3.88998i | 0.339986 | − | 0.247014i | |||||
0 | 0 | |||||||||
9.04508 | + | 6.57164i | 0.572061 | + | 0.415627i | |||||
−13.5623 | −0.856045 | −0.428023 | − | 0.903768i | ||||||
−0.428023 | + | 0.903768i | ||||||||
0 | 0 | |||||||||
5.00000 | − | 15.3884i | 0.314347 | − | 0.967462i | |||||
−4.20820 | + | 12.9515i | −0.264046 | + | 0.812651i | |||||
0 | 0 | |||||||||
0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | |||||
22.0000 | 1.37232 | 0.686161 | − | 0.727450i | ||||||
0.686161 | + | 0.727450i | ||||||||
0 | 0 | |||||||||
−16.9443 | − | 12.3107i | −1.05287 | − | 0.764952i | |||||
−4.47214 | + | 13.7638i | −0.277350 | + | 0.853596i | |||||
0 | 0 | |||||||||
14.4721 | + | 10.5146i | 0.894092 | + | 0.649596i | |||||
−9.47214 | − | 6.88191i | −0.584077 | − | 0.424357i | 0.256115 | − | 0.966646i | ||
−0.840192 | + | 0.542290i | ||||||||
0 | 0 | |||||||||
1.44427 | + | 4.44501i | 0.0887209 | + | 0.273055i | |||||
−12.0902 | − | 8.78402i | −0.741296 | − | 0.538583i | |||||
0 | 0 | |||||||||
−1.52786 | −0.0933292 | |||||||||
2.80902 | + | 8.64527i | 0.171269 | + | 0.527111i | 0.999443 | − | 0.0333590i | ||
−0.828175 | + | 0.560470i | ||||||||
0 | 0 | |||||||||
−5.57295 | + | 17.1518i | −0.338533 | + | 1.04190i | 0.626423 | + | 0.779483i | ||
−0.964956 | + | 0.262413i | ||||||||
−0.381966 | + | 1.17557i | −0.0231601 | + | 0.0712794i | |||||
0 | 0 | |||||||||
−12.1803 | −0.735841 | |||||||||
−5.59017 | − | 17.2048i | −0.337100 | − | 1.03749i | |||||
0 | 0 | |||||||||
−13.7082 | + | 9.95959i | −0.823646 | + | 0.598414i | −0.917755 | − | 0.397148i | ||
0.0941084 | + | 0.995562i | ||||||||
−3.23607 | + | 9.95959i | −0.194086 | + | 0.597337i | |||||
0 | 0 | |||||||||
4.73607 | + | 3.44095i | 0.283034 | + | 0.205636i | |||||
−1.81966 | − | 5.60034i | −0.108552 | − | 0.334088i | 0.881996 | − | 0.471257i | ||
−0.990548 | + | 0.137169i | ||||||||
0 | 0 | |||||||||
1.41641 | + | 4.35926i | 0.0841967 | + | 0.259131i | 0.984288 | − | 0.176571i | ||
−0.900091 | + | 0.435701i | ||||||||
4.47214 | + | 3.24920i | 0.265372 | + | 0.192804i | |||||
0 | 0 | |||||||||
18.9443 | − | 13.7638i | 1.12020 | − | 0.813872i | |||||
12.0902 | + | 8.78402i | 0.713660 | + | 0.518504i | |||||
0 | 0 | |||||||||
12.5172 | − | 9.09429i | 0.736307 | − | 0.534958i | |||||
−15.3262 | − | 11.1352i | −0.899988 | − | 0.653879i | |||||
0 | 0 | |||||||||
1.09017 | + | 3.35520i | 0.0637974 | + | 0.196348i | |||||
22.0902 | 1.29052 | 0.645261 | − | 0.763962i | ||||||
0.645261 | + | 0.763962i | ||||||||
0 | 0 | |||||||||
8.09017 | 0.471028 | |||||||||
−2.47214 | + | 7.60845i | −0.143690 | + | 0.442232i | |||||
0 | 0 | |||||||||
−17.8713 | + | 12.9843i | −1.03526 | + | 0.752159i | |||||
28.9443 | 1.67389 | |||||||||
0 | 0 | |||||||||
−20.1803 | −1.16318 | |||||||||
14.8262 | − | 10.7719i | 0.853154 | − | 0.619853i | |||||
0 | 0 | |||||||||
−1.76393 | + | 5.42882i | −0.101168 | + | 0.311364i | |||||
1.90983 | − | 5.87785i | 0.109357 | − | 0.336565i | |||||
0 | 0 | |||||||||
10.0000 | 0.570730 | 0.285365 | − | 0.958419i | ||||||
0.285365 | + | 0.958419i | ||||||||
−2.92705 | − | 9.00854i | −0.166784 | − | 0.513309i | |||||
0 | 0 | |||||||||
−14.7984 | −0.840491 | |||||||||
−0.854102 | + | 0.620541i | −0.0484317 | + | 0.0351877i | −0.611738 | − | 0.791061i | ||
0.563306 | + | 0.826248i | ||||||||
0 | 0 | |||||||||
13.1631 | + | 9.56357i | 0.744023 | + | 0.540565i | 0.893969 | − | 0.448130i | ||
−0.149945 | + | 0.988694i | ||||||||
7.00000 | − | 5.08580i | 0.395033 | − | 0.287008i | |||||
0 | 0 | |||||||||
4.54508 | + | 3.30220i | 0.255681 | + | 0.185763i | |||||
6.35410 | + | 19.5559i | 0.356882 | + | 1.09837i | 0.954910 | + | 0.296895i | ||
−0.598028 | + | 0.801475i | ||||||||
0 | 0 | |||||||||
9.47214 | + | 29.1522i | 0.530338 | + | 1.63221i | |||||
0.690983 | − | 2.12663i | 0.0386271 | − | 0.118882i | |||||
0 | 0 | |||||||||
3.61803 | − | 11.1352i | 0.201625 | − | 0.620538i | |||||
−5.70820 | + | 4.14725i | −0.317613 | + | 0.230759i | |||||
0 | 0 | |||||||||
26.1803 | − | 19.0211i | 1.45222 | − | 1.05510i | |||||
0.472136 | 0.0261492 | |||||||||
0 | 0 | |||||||||
1.76393 | − | 5.42882i | 0.0973969 | − | 0.299757i | |||||
−1.38197 | + | 4.25325i | −0.0761903 | + | 0.234489i | |||||
0 | 0 | |||||||||
−5.56231 | − | 17.1190i | −0.305732 | − | 0.940946i | −0.979403 | − | 0.201915i | ||
0.673671 | − | 0.739031i | ||||||||
−2.14590 | −0.117771 | |||||||||
0 | 0 | |||||||||
−9.47214 | − | 6.88191i | −0.518292 | − | 0.376561i | |||||
2.76393 | + | 2.00811i | 0.151010 | + | 0.109715i | |||||
0 | 0 | |||||||||
−0.736068 | − | 0.534785i | −0.0400962 | − | 0.0291316i | 0.567557 | − | 0.823334i | ||
−0.607653 | + | 0.794203i | ||||||||
23.3713 | + | 16.9803i | 1.27123 | + | 0.923604i | |||||
0 | 0 | |||||||||
2.23607 | − | 1.62460i | 0.121268 | − | 0.0881062i | |||||
19.3713 | + | 14.0741i | 1.04902 | + | 0.762155i | |||||
0 | 0 | |||||||||
−18.7082 | −1.01015 | |||||||||
2.38197 | + | 7.33094i | 0.128427 | + | 0.395258i | |||||
0 | 0 | |||||||||
1.57295 | − | 4.84104i | 0.0845623 | − | 0.260256i | |||||
−6.35410 | + | 19.5559i | −0.341106 | + | 1.04982i | 0.622529 | + | 0.782596i | ||
−0.963636 | + | 0.267220i | ||||||||
0 | 0 | |||||||||
−27.8885 | −1.49284 | −0.746420 | − | 0.665475i | ||||||
−0.746420 | + | 0.665475i | ||||||||
−4.04508 | − | 12.4495i | −0.216219 | − | 0.665453i | |||||
0 | 0 | |||||||||
−2.92705 | + | 2.12663i | −0.156012 | + | 0.113350i | |||||
4.09017 | − | 12.5882i | 0.217698 | − | 0.670005i | −0.781253 | − | 0.624214i | ||
0.998951 | − | 0.0457907i | ||||||||
0 | 0 | |||||||||
−3.81966 | − | 11.7557i | −0.202727 | − | 0.623928i | |||||
−1.09017 | − | 3.35520i | −0.0577789 | − | 0.177825i | |||||
0 | 0 | |||||||||
3.04508 | + | 9.37181i | 0.160938 | + | 0.495315i | |||||
17.9443 | + | 13.0373i | 0.947062 | + | 0.688081i | 0.950110 | − | 0.311914i | ||
−0.00304782 | + | 0.999995i | ||||||||
0 | 0 | |||||||||
−10.9894 | + | 7.98424i | −0.578387 | + | 0.420223i | |||||
−5.38197 | − | 3.91023i | −0.282870 | − | 0.205517i | |||||
0 | 0 | |||||||||
13.7082 | − | 9.95959i | 0.718505 | − | 0.522025i | |||||
2.43769 | − | 7.50245i | 0.127595 | − | 0.392696i | |||||
0 | 0 | |||||||||
−9.46149 | − | 29.1195i | −0.493886 | − | 1.52002i | −0.818686 | − | 0.574242i | ||
0.324800 | − | 0.945783i | ||||||||
−4.47214 | −0.233126 | |||||||||
0 | 0 | |||||||||
14.4721 | − | 10.5146i | 0.752371 | − | 0.546629i | |||||
1.69098 | − | 5.20431i | 0.0877915 | − | 0.270194i | |||||
0 | 0 | |||||||||
9.32624 | − | 6.77591i | 0.482894 | − | 0.350843i | −0.319551 | − | 0.947569i | ||
0.802445 | + | 0.596726i | ||||||||
−4.47214 | −0.231249 | |||||||||
0 | 0 | |||||||||
1.70820 | 0.0880939 | |||||||||
−44.3607 | + | 32.2299i | −2.28469 | + | 1.65993i | |||||
0 | 0 | |||||||||
−6.23607 | + | 19.1926i | −0.320325 | + | 0.985860i | 0.653181 | + | 0.757201i | ||
−0.973507 | + | 0.228658i | ||||||||
10.3262 | − | 7.50245i | 0.529725 | − | 0.384868i | |||||
0 | 0 | |||||||||
4.29180 | 0.219587 | |||||||||
6.18034 | + | 19.0211i | 0.315801 | + | 0.971934i | 0.975424 | + | 0.220338i | ||
−0.659623 | + | 0.751597i | ||||||||
0 | 0 | |||||||||
−6.54508 | + | 20.1437i | −0.333568 | + | 1.02662i | |||||
14.4443 | − | 10.4944i | 0.735194 | − | 0.534150i | |||||
0 | 0 | |||||||||
2.73607 | + | 1.98787i | 0.138903 | + | 0.100919i | |||||
−10.0172 | + | 7.27794i | −0.507893 | + | 0.369006i | −0.812024 | − | 0.583624i | ||
0.304131 | + | 0.952630i | ||||||||
0 | 0 | |||||||||
−4.47214 | − | 3.24920i | −0.226166 | − | 0.164319i | |||||
0.0450850 | + | 0.138757i | 0.00227713 | + | 0.00700830i | |||||
0 | 0 | |||||||||
−5.28115 | − | 16.2537i | −0.266061 | − | 0.818850i | |||||
−3.88197 | − | 11.9475i | −0.195323 | − | 0.601142i | |||||
0 | 0 | |||||||||
−9.50658 | + | 29.2582i | −0.477121 | + | 1.46843i | 0.365954 | + | 0.930633i | ||
−0.843075 | + | 0.537796i | ||||||||
15.7812 | − | 11.4657i | 0.791038 | − | 0.574723i | |||||
0 | 0 | |||||||||
−4.04508 | + | 2.93893i | −0.202254 | + | 0.146946i | |||||
−25.7082 | −1.28381 | −0.641903 | − | 0.766786i | ||||||
−0.641903 | + | 0.766786i | ||||||||
0 | 0 | |||||||||
−13.2361 | + | 40.7364i | −0.659336 | + | 2.02923i | |||||
−1.35410 | + | 4.16750i | −0.0673691 | + | 0.207341i | |||||
0 | 0 | |||||||||
6.85410 | + | 21.0948i | 0.340163 | + | 1.04692i | |||||
−28.9443 | −1.43471 | |||||||||
0 | 0 | |||||||||
−4.69098 | − | 3.40820i | −0.231954 | − | 0.168525i | 0.465737 | − | 0.884923i | ||
−0.697691 | + | 0.716399i | ||||||||
−10.3262 | + | 7.50245i | −0.509977 | + | 0.370520i | |||||
0 | 0 | |||||||||
−11.5902 | − | 8.42075i | −0.571007 | − | 0.414861i | |||||
−7.66312 | − | 5.56758i | −0.377077 | − | 0.273963i | |||||
0 | 0 | |||||||||
3.88197 | + | 2.82041i | 0.190558 | + | 0.138449i | |||||
−5.23607 | − | 3.80423i | −0.256719 | − | 0.186518i | |||||
0 | 0 | |||||||||
−20.6525 | −1.01015 | |||||||||
0.954915 | + | 2.93893i | 0.0466507 | + | 0.143576i | 0.971669 | − | 0.236347i | ||
−0.925018 | + | 0.379923i | ||||||||
0 | 0 | |||||||||
−7.03444 | + | 21.6498i | −0.342838 | + | 1.05515i | 0.619893 | + | 0.784686i | ||
−0.962731 | + | 0.270460i | ||||||||
1.05573 | − | 3.24920i | 0.0513920 | − | 0.158168i | |||||
0 | 0 | |||||||||
−2.09017 | −0.101508 | |||||||||
−6.18034 | −0.299791 | |||||||||
0 | 0 | |||||||||
−5.85410 | + | 4.25325i | −0.283300 | + | 0.205829i | |||||
3.59017 | − | 11.0494i | 0.173537 | − | 0.534093i | |||||
0 | 0 | |||||||||
5.32624 | − | 16.3925i | 0.256854 | − | 0.790515i | |||||
−5.20163 | − | 16.0090i | −0.250554 | − | 0.771124i | −0.994673 | − | 0.103078i | ||
0.744120 | − | 0.668046i | ||||||||
0 | 0 | |||||||||
4.79180 | + | 14.7476i | 0.230279 | + | 0.708726i | 0.997713 | + | 0.0675976i | ||
−0.767434 | + | 0.641128i | ||||||||
14.0172 | + | 10.1841i | 0.672848 | + | 0.488853i | |||||
0 | 0 | |||||||||
−13.9443 | + | 10.1311i | −0.667810 | + | 0.485192i | |||||
−20.6525 | − | 15.0049i | −0.987942 | − | 0.717782i | |||||
0 | 0 | |||||||||
19.0172 | − | 13.8168i | 0.907642 | − | 0.659441i | −0.0327751 | − | 0.999463i | ||
0.940418 | + | 0.340022i | ||||||||
8.09017 | 0.385684 | |||||||||
0 | 0 | |||||||||
−2.47214 | − | 7.60845i | −0.117588 | − | 0.361897i | |||||
−16.6180 | −0.789547 | −0.394773 | − | 0.918779i | ||||||
−0.394773 | + | 0.918779i | ||||||||
0 | 0 | |||||||||
−2.43769 | + | 7.50245i | −0.115558 | + | 0.355650i | |||||
2.50000 | − | 7.69421i | 0.118378 | − | 0.364331i | |||||
0 | 0 | |||||||||
−2.11803 | + | 1.53884i | −0.100068 | + | 0.0727034i | |||||
27.7082 | 1.30763 | 0.653815 | − | 0.756654i | ||||||
0.653815 | + | 0.756654i | ||||||||
0 | 0 | |||||||||
20.6525 | 0.972487 | |||||||||
−15.5623 | + | 11.3067i | −0.731989 | + | 0.531821i | |||||
0 | 0 | |||||||||
−6.88197 | + | 21.1805i | −0.322987 | + | 0.994051i | |||||
−37.8885 | −1.77624 | |||||||||
0 | 0 | |||||||||
−4.09017 | −0.191330 | −0.0956650 | − | 0.995414i | ||||||
−0.0956650 | + | 0.995414i | ||||||||
1.70820 | + | 5.25731i | 0.0798191 | + | 0.245658i | |||||
0 | 0 | |||||||||
8.09017 | + | 5.87785i | 0.377206 | + | 0.274056i | |||||
6.11803 | − | 4.44501i | 0.284945 | − | 0.207025i | −0.436126 | − | 0.899885i | ||
0.721072 | + | 0.692861i | ||||||||
0 | 0 | |||||||||
18.4721 | + | 13.4208i | 0.858473 | + | 0.623717i | 0.927469 | − | 0.373900i | ||
−0.0689961 | + | 0.997617i | ||||||||
6.85410 | − | 4.97980i | 0.318194 | − | 0.231181i | |||||
0 | 0 | |||||||||
−15.0902 | − | 10.9637i | −0.699039 | − | 0.507881i | |||||
−3.29837 | − | 10.1514i | −0.152631 | − | 0.469749i | 0.845283 | − | 0.534320i | ||
−0.997913 | + | 0.0645710i | ||||||||
0 | 0 | |||||||||
−1.23607 | − | 3.80423i | −0.0570763 | − | 0.175663i | |||||
−3.09017 | − | 2.24514i | −0.142539 | − | 0.103561i | |||||
0 | 0 | |||||||||
−1.11803 | + | 3.44095i | −0.0514617 | + | 0.158383i | |||||
−22.5623 | + | 16.3925i | −1.03742 | + | 0.753727i | |||||
0 | 0 | |||||||||
−28.5410 | −1.30955 | |||||||||
−3.23607 | −0.148325 | |||||||||
0 | 0 | |||||||||
3.79837 | − | 11.6902i | 0.173734 | − | 0.534697i | |||||
9.00000 | − | 27.6992i | 0.411220 | − | 1.26561i | −0.504368 | − | 0.863489i | ||
0.915588 | − | 0.402117i | ||||||||
0 | 0 | |||||||||
−16.0000 | − | 49.2429i | −0.729537 | − | 2.24528i | |||||
−9.56231 | −0.435551 | |||||||||
0 | 0 | |||||||||
−1.69098 | − | 1.22857i | −0.0768629 | − | 0.0558441i | |||||
−2.33688 | − | 7.19218i | −0.106112 | − | 0.326580i | |||||
0 | 0 | |||||||||
−14.3992 | − | 10.4616i | −0.652489 | − | 0.474061i | 0.211629 | − | 0.977350i | ||
−0.864118 | + | 0.503289i | ||||||||
2.23607 | + | 1.62460i | 0.101222 | + | 0.0735421i | |||||
0 | 0 | |||||||||
0.100813 | − | 0.310271i | 0.00455427 | − | 0.0140166i | |||||
−20.4443 | − | 14.8536i | −0.922637 | − | 0.670335i | 0.0215419 | − | 0.999768i | ||
−0.944179 | + | 0.329433i | ||||||||
0 | 0 | |||||||||
10.4721 | 0.471641 | |||||||||
−11.4164 | − | 35.1361i | −0.513648 | − | 1.58085i | |||||
0 | 0 | |||||||||
2.04508 | − | 6.29412i | 0.0918270 | − | 0.282615i | |||||
−4.47214 | + | 13.7638i | −0.200603 | + | 0.617392i | |||||
0 | 0 | |||||||||
35.5967 | 1.59353 | 0.796765 | − | 0.604290i | ||||||
0.796765 | + | 0.604290i | ||||||||
11.1803 | 0.500000 | |||||||||
0 | 0 | |||||||||
−10.9721 | + | 7.97172i | −0.489710 | + | 0.355795i | |||||
−7.38197 | + | 22.7194i | −0.329146 | + | 1.01301i | 0.640389 | + | 0.768051i | ||
−0.969534 | + | 0.244955i | ||||||||
0 | 0 | |||||||||
7.92705 | − | 5.75934i | 0.352749 | − | 0.256287i | |||||
−5.00000 | − | 15.3884i | −0.222277 | − | 0.684099i | |||||
0 | 0 | |||||||||
4.20820 | + | 12.9515i | 0.186709 | + | 0.574631i | |||||
−14.1631 | − | 10.2901i | −0.627769 | − | 0.456101i | 0.227857 | − | 0.973694i | ||
−0.855627 | + | 0.517593i | ||||||||
0 | 0 | |||||||||
−7.47214 | + | 5.42882i | −0.330548 | + | 0.240157i | |||||
0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | |||||
0 | 0 | |||||||||
17.7984 | − | 12.9313i | 0.785053 | − | 0.570374i | |||||
9.89919 | + | 30.4666i | 0.436210 | + | 1.34252i | |||||
0 | 0 | |||||||||
1.90983 | + | 5.87785i | 0.0839942 | + | 0.258508i | |||||
−20.9443 | −0.920238 | |||||||||
0 | 0 | |||||||||
4.47214 | + | 13.7638i | 0.196116 | + | 0.603583i | |||||
−4.38197 | + | 13.4863i | −0.191977 | + | 0.590846i | 0.808021 | + | 0.589153i | ||
−0.999999 | + | 0.00169226i | ||||||||
0 | 0 | |||||||||
−8.94427 | + | 6.49839i | −0.391106 | + | 0.284155i | −0.765908 | − | 0.642950i | ||
0.374803 | + | 0.927105i | ||||||||
17.8885 | 0.781465 | |||||||||
0 | 0 | |||||||||
−11.7082 | −0.510502 | |||||||||
6.61803 | − | 4.80828i | 0.288286 | − | 0.209452i | |||||
0 | 0 | |||||||||
−0.927051 | + | 2.85317i | −0.0403066 | + | 0.124051i | |||||
3.78115 | + | 2.74717i | 0.164243 | + | 0.119329i | |||||
0 | 0 | |||||||||
−14.9443 | −0.647916 | |||||||||
11.4164 | + | 35.1361i | 0.494500 | + | 1.52191i | |||||
0 | 0 | |||||||||
−21.0172 | + | 15.2699i | −0.908654 | + | 0.660176i | |||||
−1.23607 | + | 0.898056i | −0.0533900 | + | 0.0387901i | |||||
0 | 0 | |||||||||
7.35410 | + | 5.34307i | 0.317058 | + | 0.230356i | |||||
−0.427051 | + | 0.310271i | −0.0183944 | + | 0.0133643i | |||||
0 | 0 | |||||||||
21.1803 | + | 15.3884i | 0.910614 | + | 0.661600i | 0.941170 | − | 0.337933i | ||
−0.0305561 | + | 0.999533i | ||||||||
5.57295 | + | 17.1518i | 0.239379 | + | 0.736732i | |||||
0 | 0 | |||||||||
0.381966 | + | 1.17557i | 0.0163767 | + | 0.0504022i | |||||
38.5410 | 1.65092 | |||||||||
0 | 0 | |||||||||
3.00000 | − | 9.23305i | 0.128271 | − | 0.394777i | −0.866212 | − | 0.499677i | ||
0.994483 | + | 0.104900i | ||||||||
−9.85410 | + | 7.15942i | −0.420946 | + | 0.305835i | |||||
0 | 0 | |||||||||
−14.6353 | − | 10.6331i | −0.624049 | − | 0.453398i | |||||
48.3607 | 2.06023 | |||||||||
0 | 0 | |||||||||
−4.54508 | + | 13.9883i | −0.193277 | + | 0.594844i | |||||
−5.23607 | + | 16.1150i | −0.222459 | + | 0.684659i | |||||
0 | 0 | |||||||||
3.23607 | + | 9.95959i | 0.137240 | + | 0.422381i | |||||
18.3262 | 0.776508 | 0.388254 | − | 0.921552i | ||||||
0.388254 | + | 0.921552i | ||||||||
0 | 0 | |||||||||
−40.3607 | − | 29.3238i | −1.70707 | − | 1.24026i | |||||
5.85410 | 0.247381 | |||||||||
0 | 0 | |||||||||
−4.76393 | − | 3.46120i | −0.200954 | − | 0.146002i | |||||
17.2082 | + | 12.5025i | 0.725239 | + | 0.526917i | 0.888054 | − | 0.459739i | ||
−0.162815 | + | 0.986657i | ||||||||
0 | 0 | |||||||||
43.0132 | 1.80958 | |||||||||
3.70820 | + | 2.69417i | 0.155867 | + | 0.113244i | |||||
0 | 0 | |||||||||
5.52786 | 0.231944 | |||||||||
8.58359 | + | 26.4176i | 0.359843 | + | 1.10748i | 0.953148 | + | 0.302505i | ||
−0.593305 | + | 0.804978i | ||||||||
0 | 0 | |||||||||
2.43769 | − | 7.50245i | 0.102014 | − | 0.313968i | −0.887004 | − | 0.461762i | ||
0.989018 | + | 0.147794i | ||||||||
7.23607 | − | 22.2703i | 0.302555 | − | 0.931169i | |||||
0 | 0 | |||||||||
14.9443 | 0.623762 | |||||||||
−6.90983 | − | 21.2663i | −0.288160 | − | 0.886865i | |||||
0 | 0 | |||||||||
−7.26393 | + | 5.27756i | −0.302401 | + | 0.219708i | −0.728629 | − | 0.684908i | ||
0.426228 | + | 0.904616i | ||||||||
4.78115 | − | 14.7149i | 0.198870 | − | 0.612058i | |||||
0 | 0 | |||||||||
−18.9443 | −0.786618 | |||||||||
−1.73607 | − | 5.34307i | −0.0720242 | − | 0.221668i | |||||
0 | 0 | |||||||||
−2.33688 | − | 7.19218i | −0.0967837 | − | 0.297870i | |||||
2.85410 | + | 2.07363i | 0.118104 | + | 0.0858073i | |||||
0 | 0 | |||||||||
17.8713 | − | 12.9843i | 0.738258 | − | 0.536376i | |||||
−0.781153 | − | 0.567541i | −0.0322416 | − | 0.0234249i | 0.571548 | − | 0.820569i | ||
−0.603789 | + | 0.797144i | ||||||||
0 | 0 | |||||||||
30.5623 | − | 22.2048i | 1.25930 | − | 0.914933i | |||||
6.54508 | − | 4.75528i | 0.269457 | − | 0.195772i | |||||
0 | 0 | |||||||||
2.47214 | + | 7.60845i | 0.101604 | + | 0.312705i | |||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
0 | 0 | |||||||||
5.85410 | + | 4.25325i | 0.239995 | + | 0.174366i | |||||
−6.82624 | + | 21.0090i | −0.279614 | + | 0.860562i | |||||
0 | 0 | |||||||||
23.4164 | − | 17.0130i | 0.957568 | − | 0.695714i | |||||
−0.472136 | −0.0192910 | −0.00964548 | − | 0.999953i | ||||||
−0.00964548 | + | 0.999953i | ||||||||
0 | 0 | |||||||||
−7.72949 | −0.315292 | −0.157646 | − | 0.987496i | ||||||
−0.157646 | + | 0.987496i | ||||||||
−16.3262 | + | 11.8617i | −0.665408 | + | 0.483447i | |||||
0 | 0 | |||||||||
5.66312 | − | 17.4293i | 0.230429 | − | 0.709188i | |||||
1.44427 | + | 4.44501i | 0.0587180 | + | 0.180715i | |||||
0 | 0 | |||||||||
6.56231 | 0.266356 | 0.133178 | − | 0.991092i | ||||||
0.133178 | + | 0.991092i | ||||||||
1.76393 | + | 5.42882i | 0.0715369 | + | 0.220168i | |||||
0 | 0 | |||||||||
−1.90983 | − | 5.87785i | −0.0773268 | − | 0.237987i | |||||
−8.94427 | + | 6.49839i | −0.361847 | + | 0.262897i | |||||
0 | 0 | |||||||||
−39.0344 | − | 28.3602i | −1.57659 | − | 1.14546i | −0.920481 | − | 0.390788i | ||
−0.656105 | − | 0.754669i | ||||||||
8.09017 | − | 5.87785i | 0.326493 | − | 0.237211i | |||||
0 | 0 | |||||||||
−7.66312 | − | 5.56758i | −0.308756 | − | 0.224324i | |||||
−0.652476 | − | 2.00811i | −0.0262677 | − | 0.0808436i | 0.937063 | − | 0.349160i | ||
−0.963331 | + | 0.268316i | ||||||||
0 | 0 | |||||||||
−2.90983 | − | 8.95554i | −0.116956 | − | 0.359953i | 0.875394 | − | 0.483410i | ||
−0.992350 | + | 0.123457i | ||||||||
−11.9721 | + | 8.69827i | −0.480813 | + | 0.349331i | |||||
0 | 0 | |||||||||
−0.326238 | + | 1.00406i | −0.0130809 | + | 0.0402590i | |||||
7.47214 | − | 5.42882i | 0.299365 | − | 0.217501i | |||||
0 | 0 | |||||||||
−20.2254 | − | 14.6946i | −0.809017 | − | 0.587785i | |||||
16.2705 | 0.650300 | |||||||||
0 | 0 | |||||||||
2.67376 | − | 8.22899i | 0.106695 | − | 0.328373i | |||||
−3.05573 | + | 9.40456i | −0.121840 | + | 0.374985i | |||||
0 | 0 | |||||||||
14.3607 | + | 44.1976i | 0.571690 | + | 1.75948i | 0.647184 | + | 0.762334i | ||
−0.0754947 | + | 0.997146i | ||||||||
5.61803 | 0.223473 | |||||||||
0 | 0 | |||||||||
16.6353 | + | 12.0862i | 0.660670 | + | 0.480005i | |||||
9.40983 | − | 28.9605i | 0.373418 | − | 1.14926i | |||||
0 | 0 | |||||||||
−0.763932 | − | 0.555029i | −0.0302681 | − | 0.0219911i | |||||
24.7984 | + | 18.0171i | 0.981777 | + | 0.713303i | |||||
0 | 0 | |||||||||
−0.690983 | − | 2.12663i | −0.0273135 | − | 0.0840623i | |||||
−11.1803 | − | 8.12299i | −0.441597 | − | 0.320839i | 0.344672 | − | 0.938723i | ||
−0.786269 | + | 0.617884i | ||||||||
0 | 0 | |||||||||
21.8885 | 0.863200 | 0.431600 | − | 0.902065i | ||||||
0.431600 | + | 0.902065i | ||||||||
−3.61803 | − | 11.1352i | −0.142571 | − | 0.438787i | |||||
0 | 0 | |||||||||
−2.18034 | + | 6.71040i | −0.0857843 | + | 0.264017i | |||||
7.09017 | − | 21.8213i | 0.278743 | − | 0.857884i | −0.709461 | − | 0.704744i | ||
0.988205 | − | 0.153139i | ||||||||
0 | 0 | |||||||||
−13.0902 | −0.513834 | |||||||||
10.0000 | − | 30.7768i | 0.392232 | − | 1.20717i | |||||
0 | 0 | |||||||||
0.381966 | − | 0.277515i | 0.0149589 | − | 0.0108683i | |||||
1.19098 | − | 3.66547i | 0.0466068 | − | 0.143441i | −0.925045 | − | 0.379858i | ||
0.971652 | + | 0.236417i | ||||||||
0 | 0 | |||||||||
−32.3607 | − | 23.5114i | −1.26444 | − | 0.918667i | |||||
−1.76393 | − | 5.42882i | −0.0688700 | − | 0.211960i | |||||
0 | 0 | |||||||||
1.38197 | + | 4.25325i | 0.0538746 | + | 0.165809i | |||||
−16.6803 | − | 12.1190i | −0.649774 | − | 0.472088i | 0.213420 | − | 0.976960i | ||
−0.863194 | + | 0.504872i | ||||||||
0 | 0 | |||||||||
24.6525 | − | 17.9111i | 0.958870 | − | 0.696660i | 0.00598211 | − | 0.999982i | ||
0.952888 | + | 0.303322i | ||||||||
−14.5623 | − | 10.5801i | −0.565980 | − | 0.411209i | |||||
0 | 0 | |||||||||
−1.73607 | + | 1.26133i | −0.0673725 | + | 0.0489490i | |||||
27.0344 | + | 19.6417i | 1.04835 | + | 0.761671i | |||||
0 | 0 | |||||||||
11.7082 | + | 36.0341i | 0.453343 | + | 1.39525i | |||||
−11.7082 | −0.453004 | |||||||||
0 | 0 | |||||||||
3.41641 | 0.131987 | |||||||||
−3.09017 | + | 9.51057i | −0.119295 | + | 0.367151i | |||||
0 | 0 | |||||||||
25.4443 | − | 18.4863i | 0.980805 | − | 0.712596i | 0.0229163 | − | 0.999737i | ||
0.957888 | + | 0.287141i | ||||||||
−0.909830 | −0.0350453 | |||||||||
0 | 0 | |||||||||
28.8885 | 1.11110 | |||||||||
23.5344 | − | 17.0988i | 0.904502 | − | 0.657159i | −0.0351163 | − | 0.999383i | ||
0.939618 | + | 0.342224i | ||||||||
0 | 0 | |||||||||
−2.73607 | + | 8.42075i | −0.105001 | + | 0.323159i | |||||
0.854102 | − | 2.62866i | 0.0327533 | − | 0.100804i | |||||
0 | 0 | |||||||||
23.9443 | 0.916874 | |||||||||
−10.3541 | − | 31.8666i | −0.396189 | − | 1.21934i | −0.928032 | − | 0.372501i | ||
0.531843 | − | 0.846843i | ||||||||
0 | 0 | |||||||||
27.2361 | 1.04064 | |||||||||
−15.1353 | + | 10.9964i | −0.577867 | + | 0.419845i | |||||
0 | 0 | |||||||||
6.23607 | + | 4.53077i | 0.237748 | + | 0.172734i | |||||
10.9443 | − | 7.95148i | 0.416944 | − | 0.302927i | |||||
0 | 0 | |||||||||
−9.09017 | − | 6.60440i | −0.345806 | − | 0.251243i | 0.401301 | − | 0.915946i | ||
−0.747108 | + | 0.664703i | ||||||||
−1.57295 | − | 4.84104i | −0.0597945 | − | 0.184029i | |||||
0 | 0 | |||||||||
6.35410 | + | 19.5559i | 0.241198 | + | 0.742332i | |||||
7.23607 | − | 22.2703i | 0.274480 | − | 0.844762i | |||||
0 | 0 | |||||||||
2.18034 | − | 6.71040i | 0.0825863 | − | 0.254174i | |||||
−22.5623 | + | 16.3925i | −0.853996 | + | 0.620464i | |||||
0 | 0 | |||||||||
−10.5902 | − | 7.69421i | −0.400271 | − | 0.290814i | |||||
−40.8328 | −1.54223 | −0.771117 | − | 0.636693i | ||||||
−0.771117 | + | 0.636693i | ||||||||
0 | 0 | |||||||||
−14.1115 | + | 43.4306i | −0.532224 | + | 1.63802i | |||||
−1.11803 | + | 3.44095i | −0.0421375 | + | 0.129686i | |||||
0 | 0 | |||||||||
−4.09017 | − | 12.5882i | −0.153936 | − | 0.473765i | |||||
−11.4721 | −0.431454 | |||||||||
0 | 0 | |||||||||
35.3607 | + | 25.6910i | 1.32800 | + | 0.964847i | 0.999795 | + | 0.0202400i | ||
0.328203 | + | 0.944607i | ||||||||
−10.0000 | − | 7.26543i | −0.375293 | − | 0.272667i | |||||
0 | 0 | |||||||||
−2.85410 | − | 2.07363i | −0.106962 | − | 0.0777124i | |||||
23.9443 | + | 17.3965i | 0.896720 | + | 0.651505i | |||||
0 | 0 | |||||||||
−42.3607 | + | 30.7768i | −1.58420 | + | 1.15099i | |||||
7.97214 | + | 5.79210i | 0.297933 | + | 0.216461i | |||||
0 | 0 | |||||||||
22.1803 | 0.827763 | |||||||||
5.12461 | + | 15.7719i | 0.191116 | + | 0.588194i | 1.00000 | 0.000225882i | |||
−0.808884 | + | 0.587968i | ||||||||
0 | 0 | |||||||||
11.5902 | − | 35.6709i | 0.431640 | − | 1.32845i | |||||
−4.19756 | + | 12.9188i | −0.156217 | + | 0.480787i | |||||
0 | 0 | |||||||||
−6.65248 | −0.247237 | |||||||||
34.2705 | + | 24.8990i | 1.27277 | + | 0.924725i | |||||
0 | 0 | |||||||||
6.94427 | − | 5.04531i | 0.257549 | − | 0.187120i | −0.451517 | − | 0.892263i | ||
0.709066 | + | 0.705142i | ||||||||
5.23607 | − | 16.1150i | 0.194062 | − | 0.597260i | |||||
0 | 0 | |||||||||
−2.43769 | − | 7.50245i | −0.0902231 | − | 0.277678i | |||||
2.94427 | + | 9.06154i | 0.108898 | + | 0.335153i | |||||
0 | 0 | |||||||||
−11.0902 | − | 34.1320i | −0.409625 | − | 1.26070i | −0.916971 | − | 0.398953i | ||
0.507346 | − | 0.861742i | ||||||||
−24.7705 | − | 17.9968i | −0.914296 | − | 0.664275i | |||||
0 | 0 | |||||||||
−3.61803 | + | 2.62866i | −0.133363 | + | 0.0968935i | |||||
−4.47214 | − | 3.24920i | −0.164733 | − | 0.119686i | |||||
0 | 0 | |||||||||
38.9787 | − | 28.3197i | 1.43386 | − | 1.04176i | 0.444573 | − | 0.895743i | ||
0.989283 | − | 0.146014i | ||||||||
5.52786 | − | 17.0130i | 0.203208 | − | 0.625411i | |||||
0 | 0 | |||||||||
−1.69098 | − | 5.20431i | −0.0620779 | − | 0.191056i | |||||
39.0132 | 1.43125 | 0.715627 | − | 0.698483i | ||||||
0.715627 | + | 0.698483i | ||||||||
0 | 0 | |||||||||
39.9615 | − | 29.0337i | 1.46408 | − | 1.06371i | |||||
3.56231 | − | 10.9637i | 0.130425 | − | 0.401408i | |||||
0 | 0 | |||||||||
−3.61803 | + | 2.62866i | −0.132288 | + | 0.0961132i | |||||
30.4164 | 1.11139 | |||||||||
0 | 0 | |||||||||
24.7984 | 0.904906 | 0.452453 | − | 0.891788i | ||||||
0.452453 | + | 0.891788i | ||||||||
1.38197 | − | 1.00406i | 0.0503951 | − | 0.0366142i | |||||
0 | 0 | |||||||||
−16.9443 | + | 52.1491i | −0.617074 | + | 1.89916i | |||||
−33.1525 | + | 24.0867i | −1.20654 | + | 0.876604i | |||||
0 | 0 | |||||||||
−17.1246 | −0.622405 | −0.311202 | − | 0.950344i | ||||||
−0.311202 | + | 0.950344i | ||||||||
6.23607 | + | 19.1926i | 0.226504 | + | 0.697108i | |||||
0 | 0 | |||||||||
3.94427 | − | 12.1392i | 0.143074 | − | 0.440336i | |||||
1.14590 | − | 0.832544i | 0.0415388 | − | 0.0301797i | −0.566822 | − | 0.823840i | ||
0.608361 | + | 0.793661i | ||||||||
0 | 0 | |||||||||
−36.5066 | − | 26.5236i | −1.32163 | − | 0.960218i | |||||
3.47214 | − | 2.52265i | 0.125617 | − | 0.0912664i | |||||
0 | 0 | |||||||||
16.1803 | + | 11.7557i | 0.584619 | + | 0.424751i | |||||
−7.23607 | − | 22.2703i | −0.261279 | − | 0.804135i | |||||
0 | 0 | |||||||||
7.62868 | + | 23.4787i | 0.275097 | + | 0.846662i | 0.989194 | + | 0.146615i | ||
−0.714097 | + | 0.700047i | ||||||||
6.54508 | + | 20.1437i | 0.235868 | + | 0.725929i | |||||
0 | 0 | |||||||||
5.51722 | − | 16.9803i | 0.198569 | − | 0.611133i | |||||
−0.927051 | + | 0.673542i | −0.0333437 | + | 0.0242256i | −0.604332 | − | 0.796732i | ||
0.570989 | + | 0.820958i | ||||||||
0 | 0 | |||||||||
33.0902 | 1.18863 | |||||||||
3.38197 | 0.121406 | |||||||||
0 | 0 | |||||||||
−3.82624 | + | 11.7759i | −0.137177 | + | 0.422188i | |||||
10.0689 | − | 30.9888i | 0.360755 | − | 1.11029i | |||||
0 | 0 | |||||||||
6.18034 | + | 19.0211i | 0.221150 | + | 0.680630i | |||||
−5.52786 | −0.197676 | |||||||||
0 | 0 | |||||||||
0.118034 | + | 0.0857567i | 0.00421550 | + | 0.00306274i | |||||
−15.6525 | + | 11.3722i | −0.558661 | + | 0.405891i | |||||
0 | 0 | |||||||||
−22.7082 | − | 16.4985i | −0.809460 | − | 0.588107i | 0.104214 | − | 0.994555i | ||
−0.913674 | + | 0.406448i | ||||||||
−13.8262 | − | 10.0453i | −0.492539 | − | 0.357851i | |||||
0 | 0 | |||||||||
−10.1631 | − | 7.38394i | −0.361588 | − | 0.262709i | |||||
−40.7426 | − | 29.6013i | −1.44864 | − | 1.05250i | |||||
0 | 0 | |||||||||
−17.8885 | −0.635241 | |||||||||
9.50658 | + | 29.2582i | 0.337376 | + | 1.03834i | |||||
0 | 0 | |||||||||
6.02786 | − | 18.5519i | 0.213652 | − | 0.657553i | |||||
−0.465558 | + | 1.43284i | −0.0164909 | + | 0.0507538i | −0.958963 | − | 0.283530i | ||
0.942472 | + | 0.334284i | ||||||||
0 | 0 | |||||||||
2.11146 | 0.0746979 | |||||||||
−1.54508 | + | 4.75528i | −0.0546270 | + | 0.168125i | |||||
0 | 0 | |||||||||
−20.7984 | + | 15.1109i | −0.734416 | + | 0.533585i | |||||
−3.94427 | + | 12.1392i | −0.139190 | + | 0.428384i | |||||
0 | 0 | |||||||||
−8.09017 | + | 24.8990i | −0.285141 | + | 0.877574i | |||||
13.2361 | + | 40.7364i | 0.466221 | + | 1.43488i | |||||
0 | 0 | |||||||||
1.35410 | + | 4.16750i | 0.0476371 | + | 0.146612i | |||||
−24.9443 | − | 18.1231i | −0.876994 | − | 0.637173i | 0.0554606 | − | 0.998461i | ||
−0.932454 | + | 0.361288i | ||||||||
0 | 0 | |||||||||
4.61803 | − | 3.35520i | 0.162161 | − | 0.117817i | −0.503745 | − | 0.863852i | ||
0.665906 | + | 0.746035i | ||||||||
17.9443 | + | 13.0373i | 0.629720 | + | 0.457519i | |||||
0 | 0 | |||||||||
−23.4164 | + | 17.0130i | −0.820745 | + | 0.596306i | |||||
−1.05573 | −0.0369805 | |||||||||
0 | 0 | |||||||||
13.5967 | + | 41.8465i | 0.475690 | + | 1.46402i | |||||
−5.79837 | −0.202735 | |||||||||
0 | 0 | |||||||||
−3.94427 | + | 12.1392i | −0.137740 | + | 0.423920i | |||||
13.9336 | − | 42.8833i | 0.486287 | − | 1.49664i | −0.343821 | − | 0.939035i | ||
0.830108 | − | 0.557602i | ||||||||
0 | 0 | |||||||||
−2.39919 | + | 1.74311i | −0.0836304 | + | 0.0607610i | −0.628815 | − | 0.777555i | ||
0.545184 | + | 0.838316i | ||||||||
−14.3262 | −0.499078 | |||||||||
0 | 0 | |||||||||
−9.47214 | −0.329578 | |||||||||
35.6803 | − | 25.9233i | 1.24073 | − | 0.901441i | 0.243080 | − | 0.970006i | ||
0.997647 | + | 0.0685652i | ||||||||
0 | 0 | |||||||||
8.00000 | − | 24.6215i | 0.277851 | − | 0.855139i | −0.710599 | − | 0.703597i | ||
0.988451 | − | 0.151542i | ||||||||
4.79837 | 0.166554 | |||||||||
0 | 0 | |||||||||
−6.47214 | −0.224381 | |||||||||
0.0557281 | + | 0.171513i | 0.00193086 | + | 0.00594259i | |||||
0 | 0 | |||||||||
21.1803 | + | 15.3884i | 0.732976 | + | 0.532538i | |||||
−16.7082 | + | 12.1392i | −0.577865 | + | 0.419844i | |||||
0 | 0 | |||||||||
2.50000 | + | 1.81636i | 0.0863611 | + | 0.0627450i | |||||
5.14590 | − | 3.73871i | 0.177656 | − | 0.129075i | −0.495403 | − | 0.868663i | ||
0.673060 | + | 0.739588i | ||||||||
0 | 0 | |||||||||
−34.6074 | − | 25.1437i | −1.19336 | − | 0.867026i | |||||
7.03444 | + | 21.6498i | 0.242423 | + | 0.746101i | |||||
0 | 0 | |||||||||
−1.05573 | − | 3.24920i | −0.0363397 | − | 0.111842i | |||||
−52.2599 | − | 37.9690i | −1.79779 | − | 1.30617i | |||||
0 | 0 | |||||||||
1.69098 | − | 5.20431i | 0.0581029 | − | 0.178822i | |||||
−1.69098 | + | 1.22857i | −0.0580686 | + | 0.0421893i | |||||
0 | 0 | |||||||||
−5.00000 | + | 3.63271i | −0.171499 | + | 0.124601i | |||||
−35.7771 | −1.22642 | |||||||||
0 | 0 | |||||||||
−13.4721 | + | 41.4630i | −0.461277 | + | 1.41967i | 0.402328 | + | 0.915496i | ||
−0.863605 | + | 0.504169i | ||||||||
−2.23607 | + | 6.88191i | −0.0765167 | + | 0.235494i | |||||
0 | 0 | |||||||||
−3.59017 | − | 11.0494i | −0.122709 | − | 0.377661i | |||||
16.0689 | 0.548903 | 0.274451 | − | 0.961601i | ||||||
0.274451 | + | 0.961601i | ||||||||
0 | 0 | |||||||||
1.85410 | + | 1.34708i | 0.0632611 | + | 0.0459619i | 0.618966 | − | 0.785417i | ||
−0.555705 | + | 0.831379i | ||||||||
−5.32624 | − | 16.3925i | −0.181623 | − | 0.558979i | |||||
0 | 0 | |||||||||
−13.6180 | − | 9.89408i | −0.463832 | − | 0.336994i | |||||
−8.23607 | − | 5.98385i | −0.280359 | − | 0.203693i | 0.438715 | − | 0.898626i | ||
−0.719074 | + | 0.694934i | ||||||||
0 | 0 | |||||||||
−3.51722 | + | 10.8249i | −0.119589 | + | 0.368057i | |||||
12.5451 | + | 9.11454i | 0.426299 | + | 0.309725i | |||||
0 | 0 | |||||||||
17.3262 | 0.588091 | |||||||||
6.28115 | + | 19.3314i | 0.213074 | + | 0.655773i | |||||
0 | 0 | |||||||||
3.05573 | − | 9.40456i | 0.103539 | − | 0.318661i | |||||
−5.32624 | + | 16.3925i | −0.180369 | + | 0.555119i | |||||
0 | 0 | |||||||||
−25.5279 | −0.863493 | |||||||||
9.04508 | + | 27.8379i | 0.305780 | + | 0.941093i | |||||
0 | 0 | |||||||||
30.0344 | − | 21.8213i | 1.01419 | − | 0.736853i | 0.0491070 | − | 0.998794i | ||
0.965084 | + | 0.261941i | ||||||||
7.26393 | − | 22.3561i | 0.245146 | − | 0.754481i | |||||
0 | 0 | |||||||||
6.54508 | − | 4.75528i | 0.220635 | − | 0.160301i | |||||
7.29180 | + | 22.4418i | 0.245667 | + | 0.756085i | 0.995526 | + | 0.0944874i | ||
−0.749859 | + | 0.661597i | ||||||||
0 | 0 | |||||||||
−9.29180 | − | 28.5972i | −0.312694 | − | 0.962373i | −0.976693 | − | 0.214640i | ||
0.663999 | − | 0.747733i | ||||||||
−6.47214 | − | 4.70228i | −0.217681 | − | 0.158155i | |||||
0 | 0 | |||||||||
−13.4443 | + | 9.76784i | −0.451669 | + | 0.328157i | |||||
18.9443 | + | 13.7638i | 0.636086 | + | 0.462144i | 0.858503 | − | 0.512808i | ||
−0.222417 | + | 0.974952i | ||||||||
0 | 0 | |||||||||
−28.8435 | + | 20.9560i | −0.967379 | + | 0.702842i | |||||
2.43769 | + | 7.50245i | 0.0817117 | + | 0.251483i | |||||
0 | 0 | |||||||||
−2.50000 | − | 7.69421i | −0.0837062 | − | 0.257621i | |||||
9.75078 | 0.326297 | |||||||||
0 | 0 | |||||||||
−6.80902 | − | 20.9560i | −0.227600 | − | 0.700482i | |||||
−0.809017 | + | 2.48990i | −0.0270274 | + | 0.0831817i | |||||
0 | 0 | |||||||||
22.4164 | − | 16.2865i | 0.748045 | − | 0.543487i | |||||
−56.0689 | −1.87000 | |||||||||
0 | 0 | |||||||||
−2.58359 | −0.0860719 | |||||||||
16.7082 | − | 12.1392i | 0.556322 | − | 0.404192i | |||||
0 | 0 | |||||||||
−5.94427 | + | 18.2946i | −0.197704 | + | 0.608469i | |||||
12.0344 | + | 8.74353i | 0.400038 | + | 0.290645i | |||||
0 | 0 | |||||||||
30.4721 | 1.01181 | 0.505905 | − | 0.862589i | ||||||
0.505905 | + | 0.862589i | ||||||||
6.88197 | + | 21.1805i | 0.228386 | + | 0.702900i | |||||
0 | 0 | |||||||||
−30.6525 | + | 22.2703i | −1.01612 | + | 0.738254i | |||||
14.7082 | − | 10.6861i | 0.487305 | − | 0.354047i | −0.316842 | − | 0.948478i | ||
0.804147 | + | 0.594431i | ||||||||
0 | 0 | |||||||||
−6.28115 | − | 4.56352i | −0.207876 | − | 0.151031i | |||||
−3.30902 | + | 2.40414i | −0.109453 | + | 0.0795219i | |||||
0 | 0 | |||||||||
4.47214 | + | 3.24920i | 0.147764 | + | 0.107356i | |||||
14.4721 | + | 44.5407i | 0.477912 | + | 1.47086i | |||||
0 | 0 | |||||||||
−12.5836 | − | 38.7283i | −0.415094 | − | 1.27753i | −0.912166 | − | 0.409820i | ||
0.497072 | − | 0.867709i | ||||||||
10.0000 | 0.329690 | |||||||||
0 | 0 | |||||||||
2.33688 | − | 7.19218i | 0.0769611 | − | 0.236862i | |||||
−28.9443 | + | 21.0292i | −0.952712 | + | 0.692186i | |||||
0 | 0 | |||||||||
−32.3607 | + | 23.5114i | −1.06401 | + | 0.773050i | |||||
22.8328 | 0.750333 | |||||||||
0 | 0 | |||||||||
2.61803 | − | 8.05748i | 0.0859412 | − | 0.264500i | |||||
5.87539 | − | 18.0826i | 0.192765 | − | 0.593270i | −0.807230 | − | 0.590237i | ||
0.999995 | − | 0.00303360i | ||||||||
0 | 0 | |||||||||
0.257354 | + | 0.792055i | 0.00843444 | + | 0.0259585i | |||||
−18.6525 | −0.610982 | |||||||||
0 | 0 | |||||||||
−8.63525 | − | 6.27388i | −0.282554 | − | 0.205288i | |||||
10.0000 | 0.327035 | |||||||||
0 | 0 | |||||||||
7.02786 | + | 5.10604i | 0.229590 | + | 0.166807i | 0.696633 | − | 0.717428i | ||
−0.467043 | + | 0.884235i | ||||||||
−3.23607 | − | 2.35114i | −0.105661 | − | 0.0767675i | |||||
0 | 0 | |||||||||
−3.81966 | −0.124584 | |||||||||
−3.59017 | − | 2.60841i | −0.117036 | − | 0.0850318i | 0.527728 | − | 0.849414i | ||
−0.644764 | + | 0.764382i | ||||||||
0 | 0 | |||||||||
25.5279 | 0.831302 | |||||||||
1.11803 | + | 3.44095i | 0.0363889 | + | 0.111994i | |||||
0 | 0 | |||||||||
−8.61803 | + | 26.5236i | −0.280196 | + | 0.862356i | |||||
10.3713 | − | 31.9196i | 0.337023 | − | 1.03725i | −0.628694 | − | 0.777652i | ||
0.965717 | − | 0.259597i | ||||||||
0 | 0 | |||||||||
−22.8328 | −0.741185 | |||||||||
−23.0902 | + | 16.7760i | −0.749144 | + | 0.544285i | |||||
0 | 0 | |||||||||
−2.61803 | + | 1.90211i | −0.0848510 | + | 0.0616478i | |||||
−1.63932 | + | 5.04531i | −0.0531028 | + | 0.163434i | −0.974091 | − | 0.226157i | ||
0.920988 | + | 0.389591i | ||||||||
0 | 0 | |||||||||
−9.59675 | −0.310543 | |||||||||
−3.79837 | − | 11.6902i | −0.122848 | − | 0.378088i | |||||
0 | 0 | |||||||||
−9.00000 | − | 27.6992i | −0.290777 | − | 0.894919i | |||||
−25.7984 | − | 18.7436i | −0.833073 | − | 0.605263i | |||||
0 | 0 | |||||||||
−10.3541 | + | 7.52270i | −0.334003 | + | 0.242668i | |||||
−41.8885 | − | 30.4338i | −1.35054 | − | 0.981225i | |||||
0 | 0 | |||||||||
−7.73607 | + | 5.62058i | −0.249162 | + | 0.181027i | |||||
−32.2984 | + | 23.4661i | −1.03972 | + | 0.755402i | |||||
0 | 0 | |||||||||
3.37132 | + | 10.3759i | 0.108414 | + | 0.333665i | 0.990517 | − | 0.137393i | ||
−0.882102 | + | 0.471058i | ||||||||
−2.09017 | −0.0671806 | |||||||||
0 | 0 | |||||||||
−6.11803 | − | 4.44501i | −0.196438 | − | 0.142721i | |||||
4.39261 | − | 13.5191i | 0.140966 | − | 0.433847i | −0.855505 | − | 0.517795i | ||
0.996470 | + | 0.0839479i | ||||||||
0 | 0 | |||||||||
−22.1803 | + | 16.1150i | −0.711069 | + | 0.516622i | |||||
−17.7984 | −0.570297 | |||||||||
0 | 0 | |||||||||
2.76393 | 0.0884713 | |||||||||
−0.618034 | + | 0.449028i | −0.0197727 | + | 0.0143657i | −0.597628 | − | 0.801774i | ||
0.577855 | + | 0.816139i | ||||||||
0 | 0 | |||||||||
3.94427 | − | 12.1392i | 0.126059 | − | 0.387971i | |||||
−0.100813 | − | 0.310271i | −0.00322036 | − | 0.00991123i | |||||
0 | 0 | |||||||||
−25.2705 | −0.806414 | |||||||||
−12.4164 | − | 38.2138i | −0.396022 | − | 1.21883i | −0.928163 | − | 0.372174i | ||
0.532141 | − | 0.846656i | ||||||||
0 | 0 | |||||||||
11.8090 | + | 36.3444i | 0.376267 | + | 1.15803i | |||||
8.47214 | − | 6.15537i | 0.269808 | − | 0.196027i | |||||
0 | 0 | |||||||||
−29.8885 | − | 21.7153i | −0.950881 | − | 0.690856i | |||||
−27.8885 | + | 20.2622i | −0.886804 | + | 0.644301i | |||||
0 | 0 | |||||||||
−23.8262 | − | 17.3108i | −0.756865 | − | 0.549895i | 0.141082 | − | 0.989998i | ||
−0.897947 | + | 0.440103i | ||||||||
−2.04508 | − | 6.29412i | −0.0649315 | − | 0.199839i | |||||
0 | 0 | |||||||||
4.47214 | + | 13.7638i | 0.141848 | + | 0.436562i | |||||
−35.2877 | + | 25.6380i | −1.11870 | + | 0.812780i | |||||
0 | 0 | |||||||||
−1.72949 | + | 5.32282i | −0.0547735 | + | 0.168576i | −0.974701 | − | 0.223513i | ||
0.919927 | + | 0.392089i | ||||||||
28.7984 | − | 20.9232i | 0.911597 | − | 0.662314i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 450.2.h.c.361.1 | 4 | ||
3.2 | odd | 2 | 150.2.g.a.61.1 | ✓ | 4 | ||
15.2 | even | 4 | 750.2.h.b.199.1 | 8 | |||
15.8 | even | 4 | 750.2.h.b.199.2 | 8 | |||
15.14 | odd | 2 | 750.2.g.b.301.1 | 4 | |||
25.16 | even | 5 | inner | 450.2.h.c.91.1 | 4 | ||
75.29 | odd | 10 | 3750.2.a.d.1.1 | 2 | |||
75.38 | even | 20 | 750.2.h.b.49.1 | 8 | |||
75.41 | odd | 10 | 150.2.g.a.91.1 | yes | 4 | ||
75.47 | even | 20 | 3750.2.c.b.1249.4 | 4 | |||
75.53 | even | 20 | 3750.2.c.b.1249.1 | 4 | |||
75.59 | odd | 10 | 750.2.g.b.451.1 | 4 | |||
75.62 | even | 20 | 750.2.h.b.49.2 | 8 | |||
75.71 | odd | 10 | 3750.2.a.f.1.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.g.a.61.1 | ✓ | 4 | 3.2 | odd | 2 | ||
150.2.g.a.91.1 | yes | 4 | 75.41 | odd | 10 | ||
450.2.h.c.91.1 | 4 | 25.16 | even | 5 | inner | ||
450.2.h.c.361.1 | 4 | 1.1 | even | 1 | trivial | ||
750.2.g.b.301.1 | 4 | 15.14 | odd | 2 | |||
750.2.g.b.451.1 | 4 | 75.59 | odd | 10 | |||
750.2.h.b.49.1 | 8 | 75.38 | even | 20 | |||
750.2.h.b.49.2 | 8 | 75.62 | even | 20 | |||
750.2.h.b.199.1 | 8 | 15.2 | even | 4 | |||
750.2.h.b.199.2 | 8 | 15.8 | even | 4 | |||
3750.2.a.d.1.1 | 2 | 75.29 | odd | 10 | |||
3750.2.a.f.1.2 | 2 | 75.71 | odd | 10 | |||
3750.2.c.b.1249.1 | 4 | 75.53 | even | 20 | |||
3750.2.c.b.1249.4 | 4 | 75.47 | even | 20 |