Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [102,2,Mod(19,102)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(102, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("102.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 102.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: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 49.2 | ||
Root | of defining polynomial | ||
Character | 102.49 | ||
Dual form | 102.2.h.a.25.2 |
-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 .
−0.707107 | − | 0.707107i | −0.500000 | − | 0.500000i | |||||
0.382683 | + | 0.923880i | 0.220942 | + | 0.533402i | |||||
1.00000i | 0.500000i | |||||||||
0.400544 | − | 0.165911i | 0.179129 | − | 0.0741975i | −0.291317 | − | 0.956627i | ||
0.470445 | + | 0.882429i | ||||||||
0.382683 | − | 0.923880i | 0.156230 | − | 0.377172i | |||||
3.15432 | + | 1.30656i | 1.19222 | + | 0.493834i | 0.888478 | − | 0.458919i | ||
0.303744 | + | 0.952754i | ||||||||
0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | |||||
−0.707107 | + | 0.707107i | −0.235702 | + | 0.235702i | |||||
−0.400544 | − | 0.165911i | −0.126663 | − | 0.0524656i | |||||
0.648847 | − | 1.56645i | 0.195635 | − | 0.472304i | −0.795371 | − | 0.606123i | ||
0.991006 | + | 0.133819i | ||||||||
−0.923880 | + | 0.382683i | −0.266701 | + | 0.110471i | |||||
0.331821i | 0.0920307i | 0.998941 | + | 0.0460153i | ||||||
−0.998941 | + | 0.0460153i | ||||||||
−1.30656 | − | 3.15432i | −0.349194 | − | 0.843028i | |||||
0.306563 | + | 0.306563i | 0.0791542 | + | 0.0791542i | |||||
−1.00000 | −0.250000 | |||||||||
−3.94495 | − | 1.19891i | −0.956790 | − | 0.290779i | |||||
1.00000 | 0.235702 | |||||||||
−1.51594 | − | 1.51594i | −0.347780 | − | 0.347780i | 0.511502 | − | 0.859282i | ||
−0.859282 | + | 0.511502i | ||||||||
0.165911 | + | 0.400544i | 0.0370988 | + | 0.0895643i | |||||
3.41421i | 0.745042i | |||||||||
−1.56645 | + | 0.648847i | −0.333969 | + | 0.138335i | |||||
0.720777 | − | 1.74011i | 0.150292 | − | 0.362838i | −0.830746 | − | 0.556652i | ||
0.981038 | + | 0.193814i | ||||||||
0.923880 | + | 0.382683i | 0.188586 | + | 0.0781149i | |||||
−3.40262 | + | 3.40262i | −0.680525 | + | 0.680525i | |||||
0.234633 | − | 0.234633i | 0.0460153 | − | 0.0460153i | |||||
−0.923880 | − | 0.382683i | −0.177801 | − | 0.0736475i | |||||
−1.30656 | + | 3.15432i | −0.246917 | + | 0.596111i | |||||
−7.88877 | + | 3.26763i | −1.46491 | + | 0.606785i | −0.965691 | − | 0.259693i | ||
−0.499216 | + | 0.866477i | ||||||||
− | 0.433546i | − | 0.0791542i | |||||||
−0.989538 | − | 2.38896i | −0.177726 | − | 0.429069i | 0.809763 | − | 0.586758i | ||
−0.987489 | + | 0.157688i | ||||||||
0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | |||||
1.69552 | 0.295152 | |||||||||
1.94174 | + | 3.63726i | 0.333006 | + | 0.623785i | |||||
1.48022 | 0.250202 | |||||||||
−0.707107 | − | 0.707107i | −0.117851 | − | 0.117851i | |||||
−4.06193 | − | 9.80638i | −0.667778 | − | 1.61216i | −0.785320 | − | 0.619090i | ||
0.117542 | − | 0.993068i | ||||||||
2.14386i | 0.347780i | |||||||||
−0.306563 | + | 0.126983i | −0.0490894 | + | 0.0203335i | |||||
0.165911 | − | 0.400544i | 0.0262328 | − | 0.0633315i | |||||
11.1953 | + | 4.63726i | 1.74842 | + | 0.724218i | 0.997997 | + | 0.0632564i | ||
0.750420 | + | 0.660962i | ||||||||
2.41421 | − | 2.41421i | 0.372521 | − | 0.372521i | |||||
7.13707 | − | 7.13707i | 1.08839 | − | 1.08839i | 0.0926990 | − | 0.995694i | ||
0.995694 | − | 0.0926990i | ||||||||
1.56645 | + | 0.648847i | 0.236152 | + | 0.0978173i | |||||
−0.165911 | + | 0.400544i | −0.0247325 | + | 0.0597095i | |||||
−1.74011 | + | 0.720777i | −0.256565 | + | 0.106273i | |||||
− | 2.38009i | − | 0.347171i | −0.984819 | − | 0.173586i | ||||
0.984819 | − | 0.173586i | ||||||||
−0.382683 | − | 0.923880i | −0.0552356 | − | 0.133351i | |||||
3.29289 | + | 3.29289i | 0.470413 | + | 0.470413i | |||||
4.81204 | 0.680525 | |||||||||
−0.402015 | − | 4.10346i | −0.0562934 | − | 0.574599i | |||||
−0.331821 | −0.0460153 | |||||||||
2.21371 | + | 2.21371i | 0.304076 | + | 0.304076i | 0.842606 | − | 0.538530i | ||
−0.538530 | + | 0.842606i | ||||||||
0.382683 | + | 0.923880i | 0.0520766 | + | 0.125724i | |||||
− | 0.735084i | − | 0.0991187i | |||||||
3.15432 | − | 1.30656i | 0.421514 | − | 0.174597i | |||||
0.820420 | − | 1.98067i | 0.108667 | − | 0.262346i | |||||
7.88877 | + | 3.26763i | 1.03585 | + | 0.429061i | |||||
−5.42676 | + | 5.42676i | −0.706504 | + | 0.706504i | −0.965798 | − | 0.259295i | ||
0.259295 | + | 0.965798i | ||||||||
−0.306563 | + | 0.306563i | −0.0395771 | + | 0.0395771i | |||||
−7.42788 | − | 3.07673i | −0.951043 | − | 0.393935i | −0.147420 | − | 0.989074i | ||
−0.803623 | + | 0.595139i | ||||||||
−0.989538 | + | 2.38896i | −0.125671 | + | 0.303398i | |||||
−3.15432 | + | 1.30656i | −0.397407 | + | 0.164611i | |||||
− | 1.00000i | − | 0.125000i | |||||||
0.0550527 | + | 0.132909i | 0.00682845 | + | 0.0164853i | |||||
−1.19891 | − | 1.19891i | −0.147576 | − | 0.147576i | |||||
15.7711 | 1.92675 | 0.963375 | − | 0.268159i | ||||||
0.963375 | + | 0.268159i | ||||||||
1.19891 | − | 3.94495i | 0.145389 | − | 0.478395i | |||||
1.88348 | 0.226744 | |||||||||
−1.04667 | − | 1.04667i | −0.125101 | − | 0.125101i | |||||
0.0867259 | + | 0.209375i | 0.0102925 | + | 0.0248482i | 0.928942 | − | 0.370225i | ||
−0.918650 | + | 0.395073i | ||||||||
1.00000i | 0.117851i | |||||||||
−11.2147 | + | 4.64527i | −1.31258 | + | 0.543687i | −0.925635 | − | 0.378417i | ||
−0.386942 | + | 0.922104i | ||||||||
−4.06193 | + | 9.80638i | −0.472190 | + | 1.13997i | |||||
−4.44574 | − | 1.84149i | −0.513350 | − | 0.212637i | |||||
1.51594 | − | 1.51594i | 0.173890 | − | 0.173890i | |||||
4.09334 | − | 4.09334i | 0.466480 | − | 0.466480i | |||||
0.306563 | + | 0.126983i | 0.0347114 | + | 0.0143779i | |||||
−4.79863 | + | 11.5849i | −0.539888 | + | 1.30341i | 0.384912 | + | 0.922953i | ||
−0.924800 | + | 0.380453i | ||||||||
−0.400544 | + | 0.165911i | −0.0447822 | + | 0.0185494i | |||||
− | 1.00000i | − | 0.111111i | |||||||
−4.63726 | − | 11.1953i | −0.512099 | − | 1.23632i | |||||
−0.738027 | − | 0.738027i | −0.0810090 | − | 0.0810090i | 0.665441 | − | 0.746450i | ||
−0.746450 | + | 0.665441i | ||||||||
−3.41421 | −0.372521 | |||||||||
−1.77904 | + | 0.174292i | −0.192964 | + | 0.0189046i | |||||
−10.0933 | −1.08839 | |||||||||
−6.03780 | − | 6.03780i | −0.647320 | − | 0.647320i | |||||
−0.648847 | − | 1.56645i | −0.0691673 | − | 0.166985i | |||||
13.8281i | 1.46577i | 0.680352 | + | 0.732885i | ||||||
−0.680352 | + | 0.732885i | ||||||||
0.400544 | − | 0.165911i | 0.0422210 | − | 0.0174885i | |||||
−0.433546 | + | 1.04667i | −0.0454479 | + | 0.109721i | |||||
1.74011 | + | 0.720777i | 0.181419 | + | 0.0751461i | |||||
1.82843 | − | 1.82843i | 0.189599 | − | 0.189599i | |||||
−1.68297 | + | 1.68297i | −0.173586 | + | 0.173586i | |||||
−0.858710 | − | 0.355689i | −0.0881018 | − | 0.0364929i | |||||
−0.382683 | + | 0.923880i | −0.0390575 | + | 0.0942931i | |||||
3.46953 | − | 1.43713i | 0.352277 | − | 0.145918i | −0.199525 | − | 0.979893i | ||
0.551803 | + | 0.833975i | ||||||||
− | 4.65685i | − | 0.470413i | |||||||
0.648847 | + | 1.56645i | 0.0652115 | + | 0.157435i | |||||
−3.40262 | − | 3.40262i | −0.340262 | − | 0.340262i | |||||
−0.636303 | −0.0633145 | −0.0316573 | − | 0.999499i | ||||||
−0.0316573 | + | 0.999499i | ||||||||
−2.61732 | + | 3.18585i | −0.259153 | + | 0.315446i | |||||
8.59955 | 0.847339 | 0.423669 | − | 0.905817i | ||||||
0.423669 | + | 0.905817i | ||||||||
0.234633 | + | 0.234633i | 0.0230077 | + | 0.0230077i | |||||
0.566454 | + | 1.36754i | 0.0552803 | + | 0.133458i | |||||
− | 3.13066i | − | 0.304076i | |||||||
2.00000 | − | 0.828427i | 0.193347 | − | 0.0800871i | −0.283909 | − | 0.958851i | ||
0.477256 | + | 0.878764i | ||||||||
0.382683 | − | 0.923880i | 0.0368237 | − | 0.0889003i | |||||
−7.31136 | − | 3.02847i | −0.700302 | − | 0.290074i | 0.00398311 | − | 0.999992i | ||
−0.704285 | + | 0.709918i | ||||||||
−0.519783 | + | 0.519783i | −0.0495594 | + | 0.0495594i | |||||
7.50548 | − | 7.50548i | 0.712388 | − | 0.712388i | |||||
−3.15432 | − | 1.30656i | −0.298055 | − | 0.123459i | |||||
3.51620 | − | 8.48886i | 0.330776 | − | 0.798565i | −0.667755 | − | 0.744382i | ||
0.998531 | − | 0.0541835i | ||||||||
−1.98067 | + | 0.820420i | −0.185507 | + | 0.0768393i | |||||
− | 0.816574i | − | 0.0761459i | |||||||
−3.26763 | − | 7.88877i | −0.303392 | − | 0.732454i | |||||
−0.234633 | − | 0.234633i | −0.0216918 | − | 0.0216918i | |||||
7.67459 | 0.706504 | |||||||||
−10.8772 | − | 8.93608i | −0.997109 | − | 0.819169i | |||||
0.433546 | 0.0395771 | |||||||||
5.74540 | + | 5.74540i | 0.522309 | + | 0.522309i | |||||
3.07673 | + | 7.42788i | 0.278554 | + | 0.672489i | |||||
12.1177i | 1.09262i | |||||||||
2.38896 | − | 0.989538i | 0.214535 | − | 0.0888631i | |||||
−1.62792 | + | 3.93015i | −0.145606 | + | 0.351523i | |||||
3.15432 | + | 1.30656i | 0.281009 | + | 0.116398i | |||||
−8.54487 | + | 8.54487i | −0.758235 | + | 0.758235i | −0.976001 | − | 0.217766i | ||
0.217766 | + | 0.976001i | ||||||||
−0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | |||||
9.32503 | + | 3.86256i | 0.821023 | + | 0.340079i | |||||
0.0550527 | − | 0.132909i | 0.00482844 | − | 0.0116569i | |||||
−0.828427 | + | 0.343146i | −0.0723800 | + | 0.0299808i | −0.418580 | − | 0.908180i | ||
0.346200 | + | 0.938161i | ||||||||
1.69552i | 0.147576i | |||||||||
−2.80109 | − | 6.76242i | −0.242885 | − | 0.586377i | |||||
−11.1519 | − | 11.1519i | −0.963375 | − | 0.963375i | |||||
−0.433546 | −0.0373137 | |||||||||
−3.63726 | + | 1.94174i | −0.311892 | + | 0.166503i | |||||
12.6109 | 1.07742 | 0.538710 | − | 0.842491i | ||||||
0.538710 | + | 0.842491i | ||||||||
−1.33182 | − | 1.33182i | −0.113372 | − | 0.113372i | |||||
6.52273 | + | 15.7473i | 0.553250 | + | 1.33566i | 0.915024 | + | 0.403399i | ||
−0.361774 | + | 0.932266i | ||||||||
1.48022i | 0.125101i | |||||||||
2.19891 | − | 0.910819i | 0.185182 | − | 0.0767048i | |||||
0.0867259 | − | 0.209375i | 0.00727787 | − | 0.0175703i | |||||
0.519783 | + | 0.215301i | 0.0434664 | + | 0.0180044i | |||||
0.707107 | − | 0.707107i | 0.0589256 | − | 0.0589256i | |||||
−2.61766 | + | 2.61766i | −0.217385 | + | 0.217385i | |||||
11.2147 | + | 4.64527i | 0.928132 | + | 0.384445i | |||||
−1.78210 | + | 4.30237i | −0.146985 | + | 0.354854i | |||||
9.80638 | − | 4.06193i | 0.806079 | − | 0.333889i | |||||
− | 17.5004i | − | 1.43369i | −0.697234 | − | 0.716844i | ||||
0.697234 | − | 0.716844i | ||||||||
1.84149 | + | 4.44574i | 0.150357 | + | 0.362993i | |||||
6.81657 | + | 6.81657i | 0.554725 | + | 0.554725i | 0.927801 | − | 0.373076i | ||
−0.373076 | + | 0.927801i | ||||||||
−2.14386 | −0.173890 | |||||||||
3.63726 | − | 1.94174i | 0.294055 | − | 0.156980i | |||||
−5.78886 | −0.466480 | |||||||||
−0.792706 | − | 0.792706i | −0.0636717 | − | 0.0636717i | |||||
−0.126983 | − | 0.306563i | −0.0101667 | − | 0.0245447i | |||||
− | 4.78976i | − | 0.382265i | −0.981564 | − | 0.191132i | ||||
0.981564 | − | 0.191132i | ||||||||
11.5849 | − | 4.79863i | 0.921647 | − | 0.381759i | |||||
−1.19805 | + | 2.89235i | −0.0950116 | + | 0.229378i | |||||
0.400544 | + | 0.165911i | 0.0316658 | + | 0.0131164i | |||||
4.54712 | − | 4.54712i | 0.358363 | − | 0.358363i | |||||
−0.707107 | + | 0.707107i | −0.0555556 | + | 0.0555556i | |||||
−16.4496 | − | 6.81363i | −1.28843 | − | 0.533685i | −0.369912 | − | 0.929067i | ||
−0.918517 | + | 0.395382i | ||||||||
−4.63726 | + | 11.1953i | −0.362109 | + | 0.874208i | |||||
0.679129 | − | 0.281305i | 0.0528701 | − | 0.0218995i | |||||
1.04373i | 0.0810090i | |||||||||
6.73332 | + | 16.2557i | 0.521040 | + | 1.25790i | 0.937258 | + | 0.348637i | ||
−0.416218 | + | 0.909265i | ||||||||
2.41421 | + | 2.41421i | 0.186261 | + | 0.186261i | |||||
12.8899 | 0.991530 | |||||||||
1.38121 | + | 1.13473i | 0.105934 | + | 0.0870295i | |||||
2.14386 | 0.163945 | |||||||||
7.13707 | + | 7.13707i | 0.544197 | + | 0.544197i | |||||
−7.40349 | − | 17.8736i | −0.562877 | − | 1.35890i | −0.907456 | − | 0.420147i | ||
0.344579 | − | 0.938757i | ||||||||
8.53874i | 0.647320i | |||||||||
−15.1787 | + | 6.28723i | −1.14740 | + | 0.475270i | |||||
−0.648847 | + | 1.56645i | −0.0489087 | + | 0.118076i | |||||
−7.09040 | − | 2.93694i | −0.532947 | − | 0.220754i | |||||
9.77791 | − | 9.77791i | 0.732885 | − | 0.732885i | |||||
6.44834 | − | 6.44834i | 0.481972 | − | 0.481972i | −0.423789 | − | 0.905761i | ||
0.905761 | + | 0.423789i | ||||||||
−0.400544 | − | 0.165911i | −0.0298548 | − | 0.0123663i | |||||
0.297227 | − | 0.717569i | 0.0220927 | − | 0.0533365i | −0.912448 | − | 0.409192i | ||
0.934541 | + | 0.355856i | ||||||||
1.04667 | − | 0.433546i | 0.0775844 | − | 0.0321365i | |||||
− | 8.03988i | − | 0.594325i | |||||||
−0.720777 | − | 1.74011i | −0.0531364 | − | 0.128282i | |||||
−3.25397 | − | 3.25397i | −0.239236 | − | 0.239236i | |||||
−2.58579 | −0.189599 | |||||||||
−4.43771 | + | 5.40167i | −0.324517 | + | 0.395009i | |||||
2.38009 | 0.173586 | |||||||||
−2.41421 | − | 2.41421i | −0.175608 | − | 0.175608i | |||||
0.355689 | + | 0.858710i | 0.0258044 | + | 0.0622974i | |||||
− | 13.4248i | − | 0.971384i | −0.874130 | − | 0.485692i | ||||
0.874130 | − | 0.485692i | ||||||||
0.923880 | − | 0.382683i | 0.0666753 | − | 0.0276178i | |||||
1.94749 | − | 4.70167i | 0.140184 | − | 0.338434i | −0.838159 | − | 0.545426i | ||
0.978342 | + | 0.206993i | ||||||||
−3.46953 | − | 1.43713i | −0.249098 | − | 0.103180i | |||||
−0.101724 | + | 0.101724i | −0.00728462 | + | 0.00728462i | |||||
−3.29289 | + | 3.29289i | −0.235207 | + | 0.235207i | |||||
3.83825 | + | 1.58986i | 0.273464 | + | 0.113273i | 0.515201 | − | 0.857069i | ||
−0.241737 | + | 0.970342i | ||||||||
0.648847 | − | 1.56645i | 0.0461115 | − | 0.111323i | |||||
9.89357 | − | 4.09805i | 0.701336 | − | 0.290503i | −0.00337780 | − | 0.999994i | ||
0.704714 | + | 0.709491i | ||||||||
4.81204i | 0.340262i | |||||||||
6.03535 | + | 14.5706i | 0.425701 | + | 1.02773i | |||||
0.449934 | + | 0.449934i | 0.0316573 | + | 0.0316573i | |||||
−29.1531 | −2.04615 | |||||||||
4.10346 | − | 0.402015i | 0.287300 | − | 0.0281467i | |||||
5.25359 | 0.366927 | |||||||||
−6.08080 | − | 6.08080i | −0.423669 | − | 0.423669i | |||||
0.720777 | + | 1.74011i | 0.0500974 | + | 0.120946i | |||||
− | 0.331821i | − | 0.0230077i | |||||||
−3.35826 | + | 1.39104i | −0.232296 | + | 0.0962200i | |||||
0.566454 | − | 1.36754i | 0.0390891 | − | 0.0943694i | |||||
−4.36210 | − | 1.80684i | −0.300300 | − | 0.124388i | 0.227446 | − | 0.973791i | ||
−0.527746 | + | 0.849403i | ||||||||
−2.21371 | + | 2.21371i | −0.152038 | + | 0.152038i | |||||
−0.160248 | + | 0.160248i | −0.0109800 | + | 0.0109800i | |||||
−2.00000 | − | 0.828427i | −0.136717 | − | 0.0566301i | |||||
1.67459 | − | 4.04283i | 0.114206 | − | 0.275718i | |||||
−0.923880 | + | 0.382683i | −0.0628620 | + | 0.0260383i | |||||
− | 8.82843i | − | 0.599313i | |||||||
3.02847 | + | 7.31136i | 0.205114 | + | 0.495188i | |||||
−8.58333 | − | 8.58333i | −0.580008 | − | 0.580008i | |||||
0.735084 | 0.0495594 | |||||||||
0.397825 | − | 1.30902i | 0.0267606 | − | 0.0880541i | |||||
−10.6143 | −0.712388 | |||||||||
11.0563 | + | 11.0563i | 0.740383 | + | 0.740383i | 0.972652 | − | 0.232269i | ||
−0.232269 | + | 0.972652i | ||||||||
1.30656 | + | 3.15432i | 0.0872984 | + | 0.210757i | |||||
− | 4.81204i | − | 0.320803i | |||||||
−8.48886 | + | 3.51620i | −0.564671 | + | 0.233894i | |||||
−4.23304 | + | 10.2195i | −0.280957 | + | 0.678290i | −0.999858 | − | 0.0168221i | ||
0.718902 | + | 0.695112i | ||||||||
1.98067 | + | 0.820420i | 0.131173 | + | 0.0543336i | |||||
−10.8789 | + | 10.8789i | −0.718901 | + | 0.718901i | −0.968380 | − | 0.249479i | ||
0.249479 | + | 0.968380i | ||||||||
−0.577405 | + | 0.577405i | −0.0380730 | + | 0.0380730i | |||||
5.34821 | + | 2.21530i | 0.351886 | + | 0.145756i | |||||
−3.26763 | + | 7.88877i | −0.214531 | + | 0.517923i | |||||
−9.58764 | + | 3.97133i | −0.628107 | + | 0.260171i | −0.673949 | − | 0.738778i | ||
0.0458413 | + | 0.998949i | ||||||||
0.331821i | 0.0216918i | |||||||||
−0.394882 | − | 0.953329i | −0.0257592 | − | 0.0621883i | |||||
−5.42676 | − | 5.42676i | −0.353252 | − | 0.353252i | |||||
−12.5394 | −0.814524 | |||||||||
1.37257 | + | 14.0101i | 0.0889703 | + | 0.908139i | |||||
−24.7803 | −1.60291 | −0.801454 | − | 0.598057i | ||||||
−0.801454 | + | 0.598057i | ||||||||
−0.306563 | − | 0.306563i | −0.0197886 | − | 0.0197886i | |||||
−1.64752 | − | 3.97746i | −0.106126 | − | 0.256211i | 0.861892 | − | 0.507092i | ||
−0.968018 | + | 0.250881i | ||||||||
− | 8.12522i | − | 0.522309i | |||||||
0.923880 | − | 0.382683i | 0.0592669 | − | 0.0245492i | |||||
3.07673 | − | 7.42788i | 0.196967 | − | 0.475522i | |||||
1.86527 | + | 0.772622i | 0.119168 | + | 0.0493610i | |||||
8.56854 | − | 8.56854i | 0.546310 | − | 0.546310i | |||||
0.503021 | − | 0.503021i | 0.0320064 | − | 0.0320064i | |||||
−2.38896 | − | 0.989538i | −0.151699 | − | 0.0628357i | |||||
0.399418 | − | 0.964279i | 0.0253121 | − | 0.0611087i | |||||
3.93015 | − | 1.62792i | 0.248565 | − | 0.102959i | |||||
19.0639i | 1.20330i | 0.798759 | + | 0.601652i | ||||||
−0.798759 | + | 0.601652i | ||||||||
−1.30656 | − | 3.15432i | −0.0823057 | − | 0.198704i | |||||
−2.25813 | − | 2.25813i | −0.141967 | − | 0.141967i | |||||
12.0843 | 0.758235 | |||||||||
−0.841833 | − | 1.57692i | −0.0527176 | − | 0.0987504i | |||||
1.00000 | 0.0625000 | |||||||||
18.9218 | + | 18.9218i | 1.18031 | + | 1.18031i | 0.979664 | + | 0.200643i | ||
0.200643 | + | 0.979664i | ||||||||
−3.86256 | − | 9.32503i | −0.240472 | − | 0.580551i | |||||
− | 36.2396i | − | 2.25182i | |||||||
−0.132909 | + | 0.0550527i | −0.00824267 | + | 0.00341422i | |||||
3.26763 | − | 7.88877i | 0.202262 | − | 0.488302i | |||||
0.828427 | + | 0.343146i | 0.0511804 | + | 0.0211996i | |||||
19.4541 | − | 19.4541i | 1.19959 | − | 1.19959i | 0.225302 | − | 0.974289i | ||
0.974289 | − | 0.225302i | ||||||||
1.19891 | − | 1.19891i | 0.0737880 | − | 0.0737880i | |||||
1.25397 | + | 0.519409i | 0.0770305 | + | 0.0319071i | |||||
−2.80109 | + | 6.76242i | −0.171746 | + | 0.414631i | |||||
−12.7755 | + | 5.29177i | −0.781845 | + | 0.323851i | |||||
15.7711i | 0.963375i | |||||||||
3.83250 | + | 9.25247i | 0.233671 | + | 0.564133i | 0.996604 | − | 0.0823455i | ||
−0.762932 | + | 0.646478i | ||||||||
0.306563 | + | 0.306563i | 0.0186568 | + | 0.0186568i | |||||
−9.20949 | −0.559437 | −0.279718 | − | 0.960082i | ||||||
−0.279718 | + | 0.960082i | ||||||||
3.94495 | + | 1.19891i | 0.239198 | + | 0.0726947i | |||||
−1.13291 | −0.0685668 | |||||||||
−8.91723 | − | 8.91723i | −0.538710 | − | 0.538710i | |||||
3.12228 | + | 7.53784i | 0.188280 | + | 0.454549i | |||||
1.88348i | 0.113372i | |||||||||
−7.72852 | + | 3.20126i | −0.464362 | + | 0.192345i | −0.602583 | − | 0.798056i | ||
0.138221 | + | 0.990401i | ||||||||
6.52273 | − | 15.7473i | 0.391207 | − | 0.944458i | |||||
2.38896 | + | 0.989538i | 0.143023 | + | 0.0592421i | |||||
1.04667 | − | 1.04667i | 0.0625506 | − | 0.0625506i | |||||
−7.77791 | + | 7.77791i | −0.463991 | + | 0.463991i | −0.899961 | − | 0.435970i | ||
0.435970 | + | 0.899961i | ||||||||
−2.19891 | − | 0.910819i | −0.130943 | − | 0.0542385i | |||||
8.08918 | − | 19.5290i | 0.480852 | − | 1.16088i | −0.478353 | − | 0.878168i | ||
0.959205 | − | 0.282712i | ||||||||
−0.209375 | + | 0.0867259i | −0.0124241 | + | 0.00514623i | |||||
− | 0.929461i | − | 0.0550565i | |||||||
−0.215301 | − | 0.519783i | −0.0127310 | − | 0.0307354i | |||||
29.2548 | + | 29.2548i | 1.72686 | + | 1.72686i | |||||
−1.00000 | −0.0589256 | |||||||||
14.1252 | + | 9.45929i | 0.830895 | + | 0.556429i | |||||
3.70193 | 0.217385 | |||||||||
2.65546 | + | 2.65546i | 0.155666 | + | 0.155666i | |||||
−4.64527 | − | 11.2147i | −0.271844 | − | 0.656289i | |||||
25.1277i | 1.46797i | 0.679164 | + | 0.733987i | ||||||
−0.679164 | + | 0.733987i | ||||||||
4.30237 | − | 1.78210i | 0.250919 | − | 0.103934i | |||||
−1.27330 | + | 3.07401i | −0.0741342 | + | 0.178976i | |||||
−9.80638 | − | 4.06193i | −0.569984 | − | 0.236095i | |||||
−1.19891 | + | 1.19891i | −0.0695680 | + | 0.0695680i | |||||
−12.3746 | + | 12.3746i | −0.716844 | + | 0.716844i | |||||
0.577405 | + | 0.239169i | 0.0333922 | + | 0.0138315i | |||||
1.84149 | − | 4.44574i | 0.106318 | − | 0.256675i | |||||
31.8377 | − | 13.1876i | 1.83509 | − | 0.760120i | |||||
− | 9.64009i | − | 0.554725i | |||||||
−0.243503 | − | 0.587868i | −0.0139889 | − | 0.0337721i | |||||
1.51594 | + | 1.51594i | 0.0869450 | + | 0.0869450i | |||||
−3.48566 | −0.199588 | |||||||||
−3.94495 | − | 1.19891i | −0.225518 | − | 0.0685373i | |||||
15.3433 | 0.875688 | 0.437844 | − | 0.899051i | ||||||
0.437844 | + | 0.899051i | ||||||||
4.09334 | + | 4.09334i | 0.233240 | + | 0.233240i | |||||
3.29090 | + | 7.94495i | 0.187213 | + | 0.451972i | |||||
1.12106i | 0.0636717i | |||||||||
20.0320 | − | 8.29752i | 1.13591 | − | 0.470509i | 0.266124 | − | 0.963939i | ||
0.869786 | + | 0.493429i | ||||||||
−0.126983 | + | 0.306563i | −0.00718897 | + | 0.0173557i | |||||
−7.74993 | − | 3.21013i | −0.438052 | − | 0.181447i | 0.152748 | − | 0.988265i | ||
−0.590800 | + | 0.806818i | ||||||||
−3.38687 | + | 3.38687i | −0.191132 | + | 0.191132i | |||||
−1.04667 | + | 1.04667i | −0.0589733 | + | 0.0589733i | |||||
−11.5849 | − | 4.79863i | −0.651703 | − | 0.269944i | |||||
9.17686 | − | 22.1549i | 0.515424 | − | 1.24434i | −0.425264 | − | 0.905069i | ||
0.940688 | − | 0.339274i | ||||||||
2.89235 | − | 1.19805i | 0.162195 | − | 0.0671833i | |||||
14.4776i | 0.810589i | |||||||||
−0.165911 | − | 0.400544i | −0.00927469 | − | 0.0223911i | |||||
1.53073 | + | 1.53073i | 0.0854372 | + | 0.0854372i | |||||
−6.43060 | −0.358363 | |||||||||
4.16282 | + | 7.79777i | 0.231625 | + | 0.433880i | |||||
1.00000 | 0.0555556 | |||||||||
−1.12906 | − | 1.12906i | −0.0626292 | − | 0.0626292i | |||||
6.81363 | + | 16.4496i | 0.377372 | + | 0.911057i | |||||
− | 7.91376i | − | 0.437632i | |||||||
11.1953 | − | 4.63726i | 0.618159 | − | 0.256050i | |||||
3.10973 | − | 7.50756i | 0.171445 | − | 0.413905i | |||||
−0.679129 | − | 0.281305i | −0.0373848 | − | 0.0154853i | |||||
−2.88311 | + | 2.88311i | −0.158470 | + | 0.158470i | −0.781888 | − | 0.623418i | ||
0.623418 | + | 0.781888i | ||||||||
0.738027 | − | 0.738027i | 0.0405045 | − | 0.0405045i | |||||
9.80638 | + | 4.06193i | 0.537386 | + | 0.222593i | |||||
6.73332 | − | 16.2557i | 0.368431 | − | 0.889471i | |||||
6.31703 | − | 2.61660i | 0.345136 | − | 0.142960i | |||||
− | 3.41421i | − | 0.186261i | |||||||
−3.83323 | − | 9.25423i | −0.208809 | − | 0.504110i | 0.784427 | − | 0.620221i | ||
−0.993236 | + | 0.116111i | ||||||||
−9.11453 | − | 9.11453i | −0.495765 | − | 0.495765i | |||||
9.18828 | 0.499039 | |||||||||
−0.174292 | − | 1.77904i | −0.00945231 | − | 0.0964818i | |||||
−4.38425 | −0.237420 | |||||||||
−1.51594 | − | 1.51594i | −0.0819725 | − | 0.0819725i | |||||
−3.06147 | − | 7.39104i | −0.165304 | − | 0.399078i | |||||
− | 10.0933i | − | 0.544197i | |||||||
0.754416 | − | 0.312489i | 0.0406164 | − | 0.0168239i | |||||
−7.40349 | + | 17.8736i | −0.398014 | + | 0.960891i | |||||
−7.98618 | − | 3.30798i | −0.428721 | − | 0.177582i | 0.157880 | − | 0.987458i | ||
−0.586601 | + | 0.809876i | ||||||||
6.03780 | − | 6.03780i | 0.323660 | − | 0.323660i | |||||
−14.7167 | + | 14.7167i | −0.787768 | + | 0.787768i | −0.981128 | − | 0.193360i | ||
0.193360 | + | 0.981128i | ||||||||
15.1787 | + | 6.28723i | 0.811337 | + | 0.336067i | |||||
0.126983 | − | 0.306563i | 0.00677783 | − | 0.0163631i | |||||
1.56645 | − | 0.648847i | 0.0834923 | − | 0.0345836i | |||||
20.1049i | 1.07007i | 0.844829 | + | 0.535037i | ||||||
−0.844829 | + | 0.535037i | ||||||||
2.93694 | + | 7.09040i | 0.156097 | + | 0.376850i | |||||
0.0694750 | + | 0.0694750i | 0.00368735 | + | 0.00368735i | |||||
−13.8281 | −0.732885 | |||||||||
4.09334 | − | 13.4689i | 0.216643 | − | 0.712849i | |||||
−9.11933 | −0.481972 | |||||||||
−17.8899 | − | 17.8899i | −0.944193 | − | 0.944193i | 0.0543305 | − | 0.998523i | ||
−0.998523 | + | 0.0543305i | ||||||||
0.165911 | + | 0.400544i | 0.00874426 | + | 0.0211105i | |||||
− | 14.4039i | − | 0.758098i | |||||||
−0.717569 | + | 0.297227i | −0.0377146 | + | 0.0156219i | |||||
−3.10939 | + | 7.50672i | −0.163200 | + | 0.394001i | |||||
−1.04667 | − | 0.433546i | −0.0548605 | − | 0.0227240i | |||||
−3.72126 | + | 3.72126i | −0.194780 | + | 0.194780i | |||||
−5.68506 | + | 5.68506i | −0.297163 | + | 0.297163i | |||||
−9.53441 | − | 3.94928i | −0.497692 | − | 0.206151i | 0.119694 | − | 0.992811i | ||
−0.617386 | + | 0.786660i | ||||||||
−0.720777 | + | 1.74011i | −0.0375731 | + | 0.0907094i | |||||
−11.1953 | + | 4.63726i | −0.582806 | + | 0.241406i | |||||
4.60180i | 0.239236i | |||||||||
4.09040 | + | 9.87510i | 0.212363 | + | 0.512690i | |||||
1.82843 | + | 1.82843i | 0.0947995 | + | 0.0947995i | |||||
−18.2719 | −0.946083 | −0.473041 | − | 0.881040i | ||||||
−0.473041 | + | 0.881040i | ||||||||
6.95749 | − | 0.681624i | 0.359763 | − | 0.0352460i | |||||
−4.25397 | −0.219674 | |||||||||
−1.68297 | − | 1.68297i | −0.0867928 | − | 0.0867928i | |||||
−1.08427 | − | 2.61766i | −0.0558428 | − | 0.134816i | |||||
3.41421i | 0.175608i | |||||||||
19.3386 | − | 8.01029i | 0.993355 | − | 0.411461i | 0.173999 | − | 0.984746i | ||
0.819356 | + | 0.573285i | ||||||||
0.355689 | − | 0.858710i | 0.0182465 | − | 0.0440509i | |||||
−11.1644 | − | 4.62445i | −0.571970 | − | 0.236918i | |||||
−9.49276 | + | 9.49276i | −0.485692 | + | 0.485692i | |||||
−16.2616 | + | 16.2616i | −0.830929 | + | 0.830929i | −0.987644 | − | 0.156715i | ||
0.156715 | + | 0.987644i | ||||||||
−0.923880 | − | 0.382683i | −0.0471465 | − | 0.0195287i | |||||
0.960434 | − | 2.31869i | 0.0489482 | − | 0.118172i | |||||
−4.70167 | + | 1.94749i | −0.239309 | + | 0.0991249i | |||||
10.0933i | 0.513073i | |||||||||
1.43713 | + | 3.46953i | 0.0729590 | + | 0.176139i | |||||
−6.41875 | − | 6.41875i | −0.325444 | − | 0.325444i | 0.525407 | − | 0.850851i | ||
−0.850851 | + | 0.525407i | ||||||||
0.143860 | 0.00728462 | |||||||||
−4.92966 | + | 6.00049i | −0.249304 | + | 0.303458i | |||||
4.65685 | 0.235207 | |||||||||
−0.634051 | − | 0.634051i | −0.0319836 | − | 0.0319836i | |||||
−1.58986 | − | 3.83825i | −0.0800958 | − | 0.193368i | |||||
5.43641i | 0.273536i | |||||||||
−1.56645 | + | 0.648847i | −0.0787173 | + | 0.0326058i | |||||
−2.98821 | + | 7.21417i | −0.149974 | + | 0.362069i | −0.980956 | − | 0.194230i | ||
0.830982 | + | 0.556299i | ||||||||
−9.89357 | − | 4.09805i | −0.495920 | − | 0.205417i | |||||
5.17574 | − | 5.17574i | 0.259111 | − | 0.259111i | |||||
3.40262 | − | 3.40262i | 0.170131 | − | 0.170131i | |||||
−16.0392 | − | 6.64367i | −0.800962 | − | 0.331769i | −0.0556201 | − | 0.998452i | ||
−0.745342 | + | 0.666683i | ||||||||
6.03535 | − | 14.5706i | 0.301016 | − | 0.726716i | |||||
0.792706 | − | 0.328350i | 0.0394875 | − | 0.0163563i | |||||
− | 0.636303i | − | 0.0316573i | |||||||
−0.165911 | − | 0.400544i | −0.00824417 | − | 0.0199032i | |||||
20.6143 | + | 20.6143i | 1.02307 | + | 1.02307i | |||||
−17.9968 | −0.892069 | |||||||||
−3.18585 | − | 2.61732i | −0.157723 | − | 0.129576i | |||||
4.42153 | 0.218631 | 0.109315 | − | 0.994007i | ||||||
0.109315 | + | 0.994007i | ||||||||
−3.71485 | − | 3.71485i | −0.183463 | − | 0.183463i | |||||
4.82597 | + | 11.6509i | 0.238048 | + | 0.574698i | |||||
8.59955i | 0.423669i | |||||||||
−24.2081 | + | 10.0273i | −1.19120 | + | 0.493413i | |||||
0.720777 | − | 1.74011i | 0.0354242 | − | 0.0855217i | |||||
−0.418059 | − | 0.173166i | −0.0205217 | − | 0.00850037i | |||||
−0.234633 | + | 0.234633i | −0.0115038 | + | 0.0115038i | |||||
−12.0524 | + | 12.0524i | −0.590210 | + | 0.590210i | |||||
3.35826 | + | 1.39104i | 0.164258 | + | 0.0680378i | |||||
8.86537 | − | 21.4029i | 0.433102 | − | 1.04560i | −0.545180 | − | 0.838319i | ||
0.978282 | − | 0.207281i | ||||||||
−1.36754 | + | 0.566454i | −0.0667292 | + | 0.0276401i | |||||
20.0524i | 0.977295i | 0.872481 | + | 0.488648i | ||||||
−0.872481 | + | 0.488648i | ||||||||
1.80684 | + | 4.36210i | 0.0879557 | + | 0.212344i | |||||
1.68297 | + | 1.68297i | 0.0818290 | + | 0.0818290i | |||||
3.13066 | 0.152038 | |||||||||
17.5026 | − | 9.34373i | 0.849002 | − | 0.453237i | |||||
0.226626 | 0.0109800 | |||||||||
−19.4100 | − | 19.4100i | −0.939315 | − | 0.939315i | |||||
0.828427 | + | 2.00000i | 0.0400435 | + | 0.0966736i | |||||
0.562609i | 0.0271630i | |||||||||
−4.04283 | + | 1.67459i | −0.194962 | + | 0.0807561i | |||||
15.3635 | − | 37.0908i | 0.740033 | − | 1.78660i | 0.134285 | − | 0.990943i | ||
0.605749 | − | 0.795656i | ||||||||
0.923880 | + | 0.382683i | 0.0444502 | + | 0.0184119i | |||||
−15.4502 | + | 15.4502i | −0.742490 | + | 0.742490i | −0.973057 | − | 0.230566i | ||
0.230566 | + | 0.973057i | ||||||||
−6.24264 | + | 6.24264i | −0.299656 | + | 0.299656i | |||||
−3.42014 | − | 1.41667i | −0.163983 | − | 0.0679240i | |||||
3.02847 | − | 7.31136i | 0.145037 | − | 0.350151i | |||||
−3.73055 | + | 1.54524i | −0.178456 | + | 0.0739190i | |||||
12.1387i | 0.580008i | |||||||||
0.320985 | + | 0.774927i | 0.0153198 | + | 0.0369852i | 0.931354 | − | 0.364114i | ||
−0.916035 | + | 0.401099i | ||||||||
−0.519783 | − | 0.519783i | −0.0247797 | − | 0.0247797i | |||||
−4.65685 | −0.221755 | |||||||||
−1.20692 | + | 0.644311i | −0.0574073 | + | 0.0306467i | |||||
−3.21267 | −0.152639 | −0.0763194 | − | 0.997083i | ||||||
−0.0763194 | + | 0.997083i | ||||||||
7.50548 | + | 7.50548i | 0.356194 | + | 0.356194i | |||||
2.29422 | + | 5.53874i | 0.108757 | + | 0.262562i | |||||
− | 15.6359i | − | 0.740383i | |||||||
16.1683 | − | 6.69711i | 0.764732 | − | 0.316762i | |||||
1.30656 | − | 3.15432i | 0.0617293 | − | 0.149028i | |||||
−26.5599 | − | 11.0015i | −1.25344 | − | 0.519192i | −0.345550 | − | 0.938400i | ||
−0.907890 | + | 0.419208i | ||||||||
−3.40262 | + | 3.40262i | −0.160401 | + | 0.160401i | |||||
14.5281 | − | 14.5281i | 0.684102 | − | 0.684102i | |||||
8.48886 | + | 3.51620i | 0.399283 | + | 0.165388i | |||||
−3.68910 | + | 8.90628i | −0.173329 | + | 0.418454i | |||||
10.2195 | − | 4.23304i | 0.479623 | − | 0.198666i | |||||
0.491168i | 0.0230263i | |||||||||
−0.820420 | − | 1.98067i | −0.0384197 | − | 0.0927533i | |||||
−5.26863 | − | 5.26863i | −0.246456 | − | 0.246456i | 0.573058 | − | 0.819515i | ||
−0.819515 | + | 0.573058i | ||||||||
15.3852 | 0.718901 | |||||||||
3.18585 | + | 2.61732i | 0.148703 | + | 0.122166i | |||||
0.816574 | 0.0380730 | |||||||||
−18.1287 | − | 18.1287i | −0.844337 | − | 0.844337i | 0.145082 | − | 0.989420i | ||
−0.989420 | + | 0.145082i | ||||||||
−2.21530 | − | 5.34821i | −0.103065 | − | 0.248821i | |||||
− | 10.7747i | − | 0.500744i | −0.968150 | − | 0.250372i | ||||
0.968150 | − | 0.250372i | ||||||||
7.88877 | − | 3.26763i | 0.366227 | − | 0.151696i | |||||
0.429010 | − | 1.03572i | 0.0198948 | − | 0.0480304i | |||||
9.58764 | + | 3.97133i | 0.444139 | + | 0.183968i | |||||
25.2078 | − | 25.2078i | 1.16648 | − | 1.16648i | 0.183447 | − | 0.983030i | ||
0.983030 | − | 0.183447i | ||||||||
0.234633 | − | 0.234633i | 0.0108459 | − | 0.0108459i | |||||
49.7472 | + | 20.6060i | 2.29711 | + | 0.951495i | |||||
−0.394882 | + | 0.953329i | −0.0182145 | + | 0.0439738i | |||||
4.42516 | − | 1.83296i | 0.203901 | − | 0.0844585i | |||||
7.67459i | 0.353252i | |||||||||
−6.54903 | − | 15.8108i | −0.301125 | − | 0.726980i | |||||
8.86672 | + | 8.86672i | 0.407262 | + | 0.407262i | |||||
10.3163 | 0.473346 | |||||||||
8.93608 | − | 10.8772i | 0.409584 | − | 0.498555i | |||||
−3.13066 | −0.143343 | |||||||||
17.5224 | + | 17.5224i | 0.801454 | + | 0.801454i | |||||
−5.38442 | − | 12.9991i | −0.246020 | − | 0.593946i | 0.751839 | − | 0.659347i | ||
−0.997859 | + | 0.0654014i | ||||||||
0.433546i | 0.0197886i | |||||||||
3.25397 | − | 1.34784i | 0.148368 | − | 0.0614561i | |||||
−1.64752 | + | 3.97746i | −0.0750424 | + | 0.181168i | |||||
5.94110 | + | 2.46088i | 0.270329 | + | 0.111974i | |||||
−5.74540 | + | 5.74540i | −0.261154 | + | 0.261154i | |||||
1.15126 | − | 1.15126i | 0.0522762 | − | 0.0522762i | |||||
−0.923880 | − | 0.382683i | −0.0419080 | − | 0.0173589i | |||||
−9.23512 | + | 22.2956i | −0.418483 | + | 1.01031i | 0.564304 | + | 0.825567i | ||
−0.982787 | + | 0.184741i | ||||||||
−7.42788 | + | 3.07673i | −0.336244 | + | 0.139277i | |||||
− | 17.8049i | − | 0.805164i | |||||||
−0.772622 | − | 1.86527i | −0.0349035 | − | 0.0842645i | |||||
18.7525 | + | 18.7525i | 0.846288 | + | 0.846288i | 0.989668 | − | 0.143380i | ||
−0.143380 | + | 0.989668i | ||||||||
−12.1177 | −0.546310 | |||||||||
35.0384 | − | 3.43271i | 1.57805 | − | 0.154601i | |||||
−0.711378 | −0.0320064 | |||||||||
0.519783 | + | 0.519783i | 0.0233625 | + | 0.0233625i | |||||
0.989538 | + | 2.38896i | 0.0444316 | + | 0.107267i | |||||
0.773748i | 0.0347073i | |||||||||
−0.964279 | + | 0.399418i | −0.0432104 | + | 0.0178983i | |||||
−1.73737 | + | 4.19438i | −0.0777753 | + | 0.187766i | −0.957985 | − | 0.286819i | ||
0.880209 | + | 0.474585i | ||||||||
−3.93015 | − | 1.62792i | −0.175762 | − | 0.0728029i | |||||
−12.4416 | + | 12.4416i | −0.555848 | + | 0.555848i | |||||
13.4802 | − | 13.4802i | 0.601652 | − | 0.601652i | |||||
3.69306 | + | 1.52972i | 0.164666 | + | 0.0682067i | 0.463494 | − | 0.886100i | ||
−0.298828 | + | 0.954307i | ||||||||
−1.30656 | + | 3.15432i | −0.0581989 | + | 0.140505i | |||||
−0.254867 | + | 0.105570i | −0.0113414 | + | 0.00469778i | |||||
3.19347i | 0.141967i | |||||||||
4.93275 | + | 11.9087i | 0.219071 | + | 0.528884i | |||||
−8.54487 | − | 8.54487i | −0.379117 | − | 0.379117i | |||||
22.9751 | 1.01835 | 0.509176 | − | 0.860662i | ||||||
0.509176 | + | 0.860662i | ||||||||
−0.519783 | + | 1.71031i | −0.0230164 | + | 0.0757340i | |||||
−41.4440 | −1.83337 | |||||||||
−0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | |||||
0.820420 | + | 1.98067i | 0.0362224 | + | 0.0874486i | |||||
− | 26.7594i | − | 1.18031i | |||||||
3.44450 | − | 1.42676i | 0.151783 | − | 0.0628704i | |||||
−3.86256 | + | 9.32503i | −0.170040 | + | 0.410512i | |||||
−3.72830 | − | 1.54431i | −0.163970 | − | 0.0679187i | |||||
−25.6253 | + | 25.6253i | −1.12591 | + | 1.12591i | |||||
13.6799 | − | 13.6799i | 0.600479 | − | 0.600479i | |||||
0.132909 | + | 0.0550527i | 0.00582844 | + | 0.00241422i | |||||
−6.46078 | + | 15.5977i | −0.283052 | + | 0.683347i | −0.999904 | − | 0.0138781i | ||
0.716852 | + | 0.697225i | ||||||||
−7.88877 | + | 3.26763i | −0.345282 | + | 0.143020i | |||||
15.5903i | 0.681717i | 0.940115 | + | 0.340859i | ||||||
−0.940115 | + | 0.340859i | ||||||||
−0.343146 | − | 0.828427i | −0.0149904 | − | 0.0361900i | |||||
−11.6173 | − | 11.6173i | −0.507020 | − | 0.507020i | |||||
−27.5122 | −1.19959 | |||||||||
1.03953 | + | 10.6107i | 0.0452825 | + | 0.462208i | |||||
−1.69552 | −0.0737880 | |||||||||
13.7550 | + | 13.7550i | 0.598043 | + | 0.598043i | |||||
−0.519409 | − | 1.25397i | −0.0225617 | − | 0.0544688i | |||||
− | 7.67459i | − | 0.333049i | |||||||
6.76242 | − | 2.80109i | 0.293188 | − | 0.121443i | |||||
−1.53874 | + | 3.71485i | −0.0666503 | + | 0.160908i | |||||
12.7755 | + | 5.29177i | 0.552848 | + | 0.228997i | |||||
0.663643 | − | 0.663643i | 0.0286918 | − | 0.0286918i | |||||
11.1519 | − | 11.1519i | 0.481687 | − | 0.481687i | |||||
8.42516 | + | 3.48982i | 0.363573 | + | 0.150597i | |||||
3.83250 | − | 9.25247i | 0.165231 | − | 0.398902i | |||||
7.29475 | − | 3.02158i | 0.314207 | − | 0.130149i | |||||
− | 0.433546i | − | 0.0186568i | |||||||
5.79023 | + | 13.9789i | 0.248941 | + | 0.600998i | 0.998115 | − | 0.0613763i | ||
−0.749173 | + | 0.662374i | ||||||||
6.51209 | + | 6.51209i | 0.279718 | + | 0.279718i | |||||
0.776691 | 0.0333310 | |||||||||
−1.94174 | − | 3.63726i | −0.0832514 | − | 0.155946i | |||||
−3.43098 | −0.146967 | |||||||||
0.801088 | + | 0.801088i | 0.0342834 | + | 0.0342834i | |||||
−1.01292 | − | 2.44540i | −0.0433092 | − | 0.104558i | 0.900745 | − | 0.434349i | ||
−0.944054 | + | 0.329791i | ||||||||
12.6109i | 0.538710i | |||||||||
7.42788 | − | 3.07673i | 0.317014 | − | 0.131312i | |||||
3.12228 | − | 7.53784i | 0.133134 | − | 0.321415i | |||||
16.9124 | + | 7.00535i | 0.720493 | + | 0.298438i | |||||
1.33182 | − | 1.33182i | 0.0566861 | − | 0.0566861i | |||||
−30.2729 | + | 30.2729i | −1.28733 | + | 1.28733i | |||||
7.72852 | + | 3.20126i | 0.328353 | + | 0.136008i | |||||
1.76103 | − | 4.25151i | 0.0747517 | − | 0.180467i | |||||
−15.7473 | + | 6.52273i | −0.667832 | + | 0.276625i | |||||
12.4900i | 0.529217i | 0.964356 | + | 0.264609i | ||||||
−0.964356 | + | 0.264609i | ||||||||
−0.989538 | − | 2.38896i | −0.0418905 | − | 0.101133i | |||||
2.36823 | + | 2.36823i | 0.100166 | + | 0.100166i | |||||
−1.48022 | −0.0625506 | |||||||||
−6.68873 | − | 2.03278i | −0.282398 | − | 0.0858239i | |||||
10.9996 | 0.463991 | |||||||||
−1.40167 | − | 1.40167i | −0.0590734 | − | 0.0590734i | 0.676953 | − | 0.736026i | ||
−0.736026 | + | 0.676953i | ||||||||
0.910819 | + | 2.19891i | 0.0383524 | + | 0.0925909i | |||||
− | 3.98354i | − | 0.167589i | |||||||
−19.5290 | + | 8.08918i | −0.820866 | + | 0.340014i | |||||
1.30656 | − | 3.15432i | 0.0548705 | − | 0.132469i | |||||
0.209375 | + | 0.0867259i | 0.00878517 | + | 0.00363894i | |||||
11.8558 | − | 11.8558i | 0.497020 | − | 0.497020i | −0.413489 | − | 0.910509i | ||
0.910509 | + | 0.413489i | ||||||||
−0.657228 | + | 0.657228i | −0.0275283 | + | 0.0275283i | |||||
−27.8300 | − | 11.5275i | −1.16465 | − | 0.482413i | −0.285228 | − | 0.958460i | ||
−0.879420 | + | 0.476047i | ||||||||
−0.215301 | + | 0.519783i | −0.00900220 | + | 0.0217332i | |||||
12.4029 | − | 5.13744i | 0.518138 | − | 0.214620i | |||||
− | 41.3725i | − | 1.72686i | |||||||
3.46840 | + | 8.37347i | 0.144642 | + | 0.349198i | |||||
0.707107 | + | 0.707107i | 0.0294628 | + | 0.0294628i | |||||
19.8204 | 0.825132 | 0.412566 | − | 0.910928i | ||||||
0.412566 | + | 0.910928i | ||||||||
−3.29931 | − | 16.6768i | −0.137233 | − | 0.693662i | |||||
5.08905 | 0.211494 | |||||||||
−2.61766 | − | 2.61766i | −0.108692 | − | 0.108692i | |||||
−1.36370 | − | 3.29226i | −0.0565757 | − | 0.136586i | |||||
− | 3.75539i | − | 0.155666i | |||||||
4.90403 | − | 2.03132i | 0.203104 | − | 0.0841285i | |||||
−4.64527 | + | 11.2147i | −0.192222 | + | 0.464066i | |||||
−0.132909 | − | 0.0550527i | −0.00549511 | − | 0.00227615i | |||||
17.7679 | − | 17.7679i | 0.733987 | − | 0.733987i | |||||
−9.09425 | + | 9.09425i | −0.375360 | + | 0.375360i | −0.869425 | − | 0.494065i | ||
0.494065 | + | 0.869425i | ||||||||
−4.30237 | − | 1.78210i | −0.177427 | − | 0.0734926i | |||||
−2.12143 | + | 5.12158i | −0.0874120 | + | 0.211031i | |||||
3.07401 | − | 1.27330i | 0.126555 | − | 0.0524208i | |||||
4.15449i | 0.170893i | |||||||||
4.06193 | + | 9.80638i | 0.166944 | + | 0.403040i | |||||
−25.3356 | − | 25.3356i | −1.04041 | − | 1.04041i | −0.999148 | − | 0.0412617i | ||
−0.0412617 | − | 0.999148i | ||||||||
1.69552 | 0.0695680 | |||||||||
−5.83938 | − | 1.77465i | −0.239391 | − | 0.0727536i | |||||
17.5004 | 0.716844 | |||||||||
7.57221 | + | 7.57221i | 0.309910 | + | 0.309910i | |||||
−0.239169 | − | 0.577405i | −0.00978035 | − | 0.0236119i | |||||
− | 21.1148i | − | 0.862728i | −0.902178 | − | 0.431364i | ||||
0.902178 | − | 0.431364i | ||||||||
−4.44574 | + | 1.84149i | −0.181497 | + | 0.0751784i | |||||
5.83004 | − | 14.0750i | 0.237812 | − | 0.574130i | −0.759244 | − | 0.650806i | ||
0.997056 | + | 0.0766767i | ||||||||
−31.8377 | − | 13.1876i | −1.29761 | − | 0.537486i | |||||
−11.1519 | + | 11.1519i | −0.454139 | + | 0.454139i | |||||
−6.81657 | + | 6.81657i | −0.277362 | + | 0.277362i | |||||
3.25451 | + | 1.34806i | 0.132314 | + | 0.0548065i | |||||
−0.243503 | + | 0.587868i | −0.00989162 | + | 0.0238805i | |||||
−35.4629 | + | 14.6892i | −1.43940 | + | 0.596217i | −0.959652 | − | 0.281192i | ||
−0.479743 | + | 0.877409i | ||||||||
− | 2.14386i | − | 0.0869450i | |||||||
−11.1564 | − | 26.9339i | −0.452080 | − | 1.09142i | |||||
2.46473 | + | 2.46473i | 0.0997940 | + | 0.0997940i | |||||
0.789763 | 0.0319504 | |||||||||
1.94174 | + | 3.63726i | 0.0784902 | + | 0.147027i | |||||
−1.39554 | −0.0563654 | −0.0281827 | − | 0.999603i | ||||||
−0.0281827 | + | 0.999603i | ||||||||
−10.8494 | − | 10.8494i | −0.437844 | − | 0.437844i | |||||
2.01046 | + | 4.85369i | 0.0810697 | + | 0.195719i | |||||
− | 5.78886i | − | 0.233240i | |||||||
7.77433 | − | 3.22023i | 0.312983 | − | 0.129642i | −0.220662 | − | 0.975350i | ||
0.533645 | + | 0.845709i | ||||||||
3.29090 | − | 7.94495i | 0.132380 | − | 0.319593i | |||||
−4.93657 | − | 2.04479i | −0.198417 | − | 0.0821872i | 0.281262 | − | 0.959631i | ||
−0.479679 | + | 0.877444i | ||||||||
0.792706 | − | 0.792706i | 0.0318359 | − | 0.0318359i | |||||
−1.33182 | + | 1.33182i | −0.0534442 | + | 0.0534442i | |||||
−20.0320 | − | 8.29752i | −0.803210 | − | 0.332700i | |||||
−18.0672 | + | 43.6181i | −0.723848 | + | 1.74752i | |||||
0.306563 | − | 0.126983i | 0.0122723 | − | 0.00508337i | |||||
− | 22.2159i | − | 0.888636i | |||||||
3.21013 | + | 7.74993i | 0.128302 | + | 0.309750i | |||||
−2.57030 | − | 2.57030i | −0.102648 | − | 0.102648i | |||||
4.78976 | 0.191132 | |||||||||
4.26713 | + | 43.5555i | 0.170142 | + | 1.73667i | |||||
1.48022 | 0.0589733 | |||||||||
1.03437 | + | 1.03437i | 0.0411776 | + | 0.0411776i | 0.727396 | − | 0.686218i | ||
−0.686218 | + | 0.727396i | ||||||||
4.79863 | + | 11.5849i | 0.190879 | + | 0.460824i | |||||
− | 4.72151i | − | 0.187663i | |||||||
−22.1549 | + | 9.17686i | −0.879884 | + | 0.364460i | |||||
−2.00491 | + | 4.84028i | −0.0795624 | + | 0.192081i | |||||
−2.89235 | − | 1.19805i | −0.114689 | − | 0.0475058i | |||||
−1.09265 | + | 1.09265i | −0.0432925 | + | 0.0432925i | |||||
10.2372 | − | 10.2372i | 0.405295 | − | 0.405295i | |||||
−0.209375 | − | 0.0867259i | −0.00828274 | − | 0.00343082i | |||||
−0.165911 | + | 0.400544i | −0.00655820 | + | 0.0158329i | |||||
−0.442882 | + | 0.183448i | −0.0174928 | + | 0.00724574i | −0.391413 | − | 0.920215i | ||
0.373920 | + | 0.927461i | ||||||||
− | 2.16478i | − | 0.0854372i | |||||||
−12.2860 | − | 29.6610i | −0.484512 | − | 1.16972i | −0.957444 | − | 0.288617i | ||
0.472932 | − | 0.881099i | ||||||||
4.54712 | + | 4.54712i | 0.179182 | + | 0.179182i | |||||
4.37592 | 0.172302 | |||||||||
2.57030 | − | 8.45741i | 0.101127 | − | 0.332752i | |||||
23.4802 | 0.923103 | 0.461551 | − | 0.887114i | ||||||
0.461551 | + | 0.887114i | ||||||||
−0.707107 | − | 0.707107i | −0.0277778 | − | 0.0277778i | |||||
4.97963 | + | 12.0219i | 0.195468 | + | 0.471901i | |||||
1.59674i | 0.0626292i | |||||||||
8.15640 | − | 3.37849i | 0.319675 | − | 0.132414i | |||||
6.81363 | − | 16.4496i | 0.266842 | − | 0.644215i | |||||
41.9154 | + | 17.3619i | 1.64027 | + | 0.679424i | 0.996326 | − | 0.0856443i | ||
0.643949 | + | 0.765068i | ||||||||
−5.59588 | + | 5.59588i | −0.218816 | + | 0.218816i | |||||
−0.274890 | + | 0.274890i | −0.0107408 | + | 0.0107408i | |||||
−11.1953 | − | 4.63726i | −0.437104 | − | 0.181055i | |||||
4.64527 | − | 11.2147i | 0.181229 | − | 0.437526i | |||||
−7.50756 | + | 3.10973i | −0.292675 | + | 0.121230i | |||||
− | 12.8417i | − | 0.500240i | −0.968215 | − | 0.250120i | ||||
0.968215 | − | 0.250120i | ||||||||
0.281305 | + | 0.679129i | 0.0109498 | + | 0.0264351i | |||||
−19.2247 | − | 19.2247i | −0.747753 | − | 0.747753i | 0.226304 | − | 0.974057i | ||
−0.974057 | + | 0.226304i | ||||||||
4.07733 | 0.158470 | |||||||||
1.36162 | − | 0.133397i | 0.0528808 | − | 0.00518072i | |||||
−1.04373 | −0.0405045 | |||||||||
−2.24392 | − | 2.24392i | −0.0870154 | − | 0.0870154i | |||||
−4.06193 | − | 9.80638i | −0.157397 | − | 0.379989i | |||||
16.0825i | 0.622719i | |||||||||
−16.2557 | + | 6.73332i | −0.628951 | + | 0.260520i | |||||
−5.98361 | + | 14.4457i | −0.231340 | + | 0.558504i | |||||
−6.31703 | − | 2.61660i | −0.244048 | − | 0.101088i | |||||
−9.63912 | + | 9.63912i | −0.372114 | + | 0.372114i | |||||
−2.41421 | + | 2.41421i | −0.0931303 | + | 0.0931303i | |||||
15.4077 | + | 6.38207i | 0.593923 | + | 0.246011i | 0.659337 | − | 0.751847i | ||
−0.0654145 | + | 0.997858i | ||||||||
−3.83323 | + | 9.25423i | −0.147650 | + | 0.356460i | |||||
4.44574 | − | 1.84149i | 0.171117 | − | 0.0708789i | |||||
12.8899i | 0.495765i | |||||||||
0.996062 | + | 2.40471i | 0.0382818 | + | 0.0924204i | 0.941864 | − | 0.335994i | ||
−0.903582 | + | 0.428415i | ||||||||
−6.49709 | − | 6.49709i | −0.249519 | − | 0.249519i | |||||
12.8217 | 0.492052 | |||||||||
−1.13473 | + | 1.38121i | −0.0435147 | + | 0.0529671i | |||||
−11.0615 | −0.423876 | |||||||||
3.10013 | + | 3.10013i | 0.118710 | + | 0.118710i | |||||
4.68507 | + | 11.3108i | 0.179269 | + | 0.432794i | 0.987814 | − | 0.155641i | ||
−0.808544 | + | 0.588435i | ||||||||
2.14386i | 0.0819725i | |||||||||
5.05121 | − | 2.09228i | 0.192997 | − | 0.0799419i | |||||
−3.06147 | + | 7.39104i | −0.116887 | + | 0.282191i | |||||
−14.2140 | − | 5.88764i | −0.542299 | − | 0.224628i | |||||
−7.13707 | + | 7.13707i | −0.272098 | + | 0.272098i | |||||
−0.734556 | + | 0.734556i | −0.0279843 | + | 0.0279843i | |||||
−0.754416 | − | 0.312489i | −0.0287201 | − | 0.0118963i | |||||
−5.99803 | + | 14.4805i | −0.228176 | + | 0.550865i | −0.995955 | − | 0.0898487i | ||
0.767779 | + | 0.640714i | ||||||||
17.8736 | − | 7.40349i | 0.679452 | − | 0.281438i | |||||
5.78886i | 0.219901i | |||||||||
3.30798 | + | 7.98618i | 0.125569 | + | 0.303151i | |||||
5.22528 | + | 5.22528i | 0.198206 | + | 0.198206i | |||||
−8.53874 | −0.323660 | |||||||||
−38.6053 | − | 31.7160i | −1.46228 | − | 1.20133i | |||||
20.8126 | 0.787768 | |||||||||
−7.33806 | − | 7.33806i | −0.277551 | − | 0.277551i | |||||
−6.28723 | − | 15.1787i | −0.237635 | − | 0.573702i | |||||
30.8222i | 1.16414i | 0.813139 | + | 0.582070i | ||||||
−0.813139 | + | 0.582070i | ||||||||
−0.306563 | + | 0.126983i | −0.0115705 | + | 0.00479265i | |||||
−8.70822 | + | 21.0235i | −0.328437 | + | 0.792916i | |||||
−1.56645 | − | 0.648847i | −0.0590380 | − | 0.0244543i | |||||
0.729646 | − | 0.729646i | 0.0274801 | − | 0.0274801i | |||||
14.2163 | − | 14.2163i | 0.535037 | − | 0.535037i | |||||
−2.00711 | − | 0.831370i | −0.0754850 | − | 0.0312669i | |||||
2.93694 | − | 7.09040i | 0.110377 | − | 0.266474i | |||||
0.364823 | − | 0.151115i | 0.0137012 | − | 0.00567523i | −0.375822 | − | 0.926692i | ||
0.389524 | + | 0.921017i | ||||||||
− | 0.0982525i | − | 0.00368735i | |||||||
−4.79863 | − | 11.5849i | −0.179963 | − | 0.434469i | |||||
9.77791 | + | 9.77791i | 0.366443 | + | 0.366443i | |||||
−4.87028 | −0.182393 | |||||||||
−12.4184 | + | 6.62951i | −0.464746 | + | 0.248103i | |||||
0.243917 | 0.00912197 | |||||||||
6.44834 | + | 6.44834i | 0.240986 | + | 0.240986i | |||||
−9.48303 | − | 22.8941i | −0.354150 | − | 0.854994i | |||||
25.3001i | 0.944193i | |||||||||
−10.2515 | + | 4.24631i | −0.382317 | + | 0.158361i | −0.565561 | − | 0.824707i | ||
0.183244 | + | 0.983067i | ||||||||
0.165911 | − | 0.400544i | 0.00618313 | − | 0.0149274i | |||||
27.1257 | + | 11.2359i | 1.01022 | + | 0.418445i | |||||
−10.1851 | + | 10.1851i | −0.379049 | + | 0.379049i | |||||
3.04422 | − | 3.04422i | 0.113216 | − | 0.113216i | |||||
0.717569 | + | 0.297227i | 0.0266682 | + | 0.0110463i | |||||
15.7240 | − | 37.9611i | 0.583974 | − | 1.40984i | |||||
7.50672 | − | 3.10939i | 0.278601 | − | 0.115400i | |||||
− | 27.2866i | − | 1.01200i | −0.862533 | − | 0.506001i | ||||
0.862533 | − | 0.506001i | ||||||||
0.433546 | + | 1.04667i | 0.0160683 | + | 0.0387922i | |||||
0.707107 | + | 0.707107i | 0.0261891 | + | 0.0261891i | |||||
5.26266 | 0.194780 | |||||||||
−36.7121 | + | 19.5986i | −1.35785 | + | 0.724882i | |||||
8.03988 | 0.297163 | |||||||||
20.7090 | + | 20.7090i | 0.764906 | + | 0.764906i | 0.977205 | − | 0.212299i | ||
−0.212299 | + | 0.977205i | ||||||||
3.94928 | + | 9.53441i | 0.145771 | + | 0.351921i | |||||
2.01896i | 0.0744704i | |||||||||
1.74011 | − | 0.720777i | 0.0641412 | − | 0.0265682i | |||||
10.2330 | − | 24.7047i | 0.376939 | − | 0.910011i | |||||
11.1953 | + | 4.63726i | 0.412106 | + | 0.170700i | |||||
26.2007 | − | 26.2007i | 0.963810 | − | 0.963810i | −0.0355580 | − | 0.999368i | ||
0.999368 | + | 0.0355580i | ||||||||
3.25397 | − | 3.25397i | 0.119618 | − | 0.119618i | |||||
0.657228 | + | 0.272233i | 0.0241439 | + | 0.0100007i | |||||
4.09040 | − | 9.87510i | 0.150163 | − | 0.362526i | |||||
13.3844 | − | 5.54401i | 0.491027 | − | 0.203390i | −0.123410 | − | 0.992356i | ||
0.614437 | + | 0.788966i | ||||||||
− | 2.58579i | − | 0.0947995i | |||||||
−2.90350 | − | 7.00967i | −0.106376 | − | 0.256815i | |||||
12.9202 | + | 12.9202i | 0.473041 | + | 0.473041i | |||||
1.04373 | 0.0381880 | |||||||||
−5.40167 | − | 4.43771i | −0.197505 | − | 0.162259i | |||||
7.39104 | 0.270063 | |||||||||
3.00801 | + | 3.00801i | 0.109837 | + | 0.109837i | |||||
16.8240 | + | 40.6167i | 0.613917 | + | 1.48213i | 0.858664 | + | 0.512539i | ||
−0.244747 | + | 0.969587i | ||||||||
2.38009i | 0.0867928i | |||||||||
−17.6128 | + | 7.29544i | −0.641844 | + | 0.265861i | |||||
−1.08427 | + | 2.61766i | −0.0394868 | + | 0.0953296i | |||||
3.86128 | + | 1.59939i | 0.140526 | + | 0.0582079i | |||||
2.41421 | − | 2.41421i | 0.0878041 | − | 0.0878041i | |||||
26.7702 | − | 26.7702i | 0.972980 | − | 0.972980i | −0.0266643 | − | 0.999644i | ||
0.999644 | + | 0.0266643i | ||||||||
−19.3386 | − | 8.01029i | −0.702408 | − | 0.290947i | |||||
1.22209 | − | 2.95039i | 0.0443590 | − | 0.107092i | |||||
−0.858710 | + | 0.355689i | −0.0311487 | + | 0.0129022i | |||||
9.82880i | 0.356294i | 0.984004 | + | 0.178147i | ||||||
−0.984004 | + | 0.178147i | ||||||||
4.62445 | + | 11.1644i | 0.167526 | + | 0.404444i | |||||
−19.1055 | − | 19.1055i | −0.691666 | − | 0.691666i | |||||
13.4248 | 0.485692 | |||||||||
1.13473 | − | 1.38121i | 0.0410261 | − | 0.0499378i | |||||
22.9974 | 0.830929 | |||||||||
−1.80071 | − | 1.80071i | −0.0650200 | − | 0.0650200i | |||||
0.382683 | + | 0.923880i | 0.0138089 | + | 0.0333376i | |||||
41.1522i | 1.48398i | 0.670408 | + | 0.741992i | ||||||
−0.670408 | + | 0.741992i | ||||||||
−2.31869 | + | 0.960434i | −0.0835599 | + | 0.0346116i | |||||
−10.2404 | + | 24.7225i | −0.368799 | + | 0.890359i | |||||
4.70167 | + | 1.94749i | 0.169217 | + | 0.0700919i | |||||
15.3765 | − | 15.3765i | 0.553054 | − | 0.553054i | −0.374267 | − | 0.927321i | ||
0.927321 | + | 0.374267i | ||||||||
7.13707 | − | 7.13707i | 0.256537 | − | 0.256537i | |||||
11.4957 | + | 4.76169i | 0.412939 | + | 0.171045i | |||||
1.43713 | − | 3.46953i | 0.0515898 | − | 0.124549i | |||||
33.4811 | − | 13.8683i | 1.20113 | − | 0.497523i | |||||
9.07748i | 0.325444i | |||||||||
−9.94163 | − | 24.0012i | −0.356196 | − | 0.859933i | |||||
−0.101724 | − | 0.101724i | −0.00364231 | − | 0.00364231i | |||||
0.384248 | 0.0137495 | |||||||||
7.72878 | − | 0.757188i | 0.276381 | − | 0.0270770i | |||||
8.53874 | 0.305150 | |||||||||
−3.29289 | − | 3.29289i | −0.117603 | − | 0.117603i | |||||
−0.794673 | − | 1.91851i | −0.0283631 | − | 0.0684746i | |||||
0.896683i | 0.0319836i | |||||||||
43.9786 | − | 18.2165i | 1.56767 | − | 0.649349i | 0.581267 | − | 0.813713i | ||
0.986400 | + | 0.164364i | ||||||||
−1.58986 | + | 3.83825i | −0.0566363 | + | 0.136732i | |||||
25.4180 | + | 10.5285i | 0.904905 | + | 0.374824i | |||||
3.84413 | − | 3.84413i | 0.136768 | − | 0.136768i | |||||
22.1825 | − | 22.1825i | 0.788718 | − | 0.788718i | |||||
1.56645 | + | 0.648847i | 0.0556615 | + | 0.0230558i | |||||
1.02092 | − | 2.46473i | 0.0362541 | − | 0.0875251i | |||||
7.21417 | − | 2.98821i | 0.256021 | − | 0.106048i | |||||
1.35728i | 0.0481378i | |||||||||
4.09805 | + | 9.89357i | 0.145252 | + | 0.350668i | |||||
−26.7982 | − | 26.7982i | −0.949242 | − | 0.949242i | 0.0495310 | − | 0.998773i | ||
−0.998773 | + | 0.0495310i | ||||||||
−7.31959 | −0.259111 | |||||||||
−2.85351 | + | 9.38931i | −0.100950 | + | 0.332170i | |||||
−4.81204 | −0.170131 | |||||||||
−9.77791 | − | 9.77791i | −0.345485 | − | 0.345485i | |||||
6.64367 | + | 16.0392i | 0.234596 | + | 0.566365i | |||||
20.5813i | 0.726299i | |||||||||
−14.5706 | + | 6.03535i | −0.513866 | + | 0.212850i | |||||
1.06691 | − | 2.57574i | 0.0376035 | − | 0.0907828i | |||||
−0.792706 | − | 0.328350i | −0.0279219 | − | 0.0115656i | |||||
−7.08153 | + | 7.08153i | −0.249282 | + | 0.249282i | |||||
−0.449934 | + | 0.449934i | −0.0158286 | + | 0.0158286i | |||||
−35.6369 | − | 14.7613i | −1.25293 | − | 0.518979i | −0.345195 | − | 0.938531i | ||
−0.907731 | + | 0.419552i | ||||||||
−0.165911 | + | 0.400544i | −0.00582951 | + | 0.0140737i | |||||
−17.9596 | + | 7.43911i | −0.630647 | + | 0.261223i | −0.675028 | − | 0.737792i | ||
0.0443808 | + | 0.999015i | ||||||||
− | 29.1531i | − | 1.02307i | |||||||
−3.52432 | − | 8.50846i | −0.123603 | − | 0.298405i | |||||
12.7257 | + | 12.7257i | 0.446034 | + | 0.446034i | |||||
−7.71922 | −0.270393 | |||||||||
0.402015 | + | 4.10346i | 0.0140734 | + | 0.143650i | |||||
−21.6387 | −0.757043 | |||||||||
−3.12649 | − | 3.12649i | −0.109315 | − | 0.109315i | |||||
−0.433546 | − | 1.04667i | −0.0151493 | − | 0.0365737i | |||||
5.25359i | 0.183463i | |||||||||
0.214175 | − | 0.0887142i | 0.00747476 | − | 0.00309615i | −0.378943 | − | 0.925420i | ||
0.386418 | + | 0.922324i | ||||||||
4.82597 | − | 11.6509i | 0.168325 | − | 0.406373i | |||||
−20.7809 | − | 8.60773i | −0.724376 | − | 0.300047i | −0.0101376 | − | 0.999949i | ||
−0.714239 | + | 0.699902i | ||||||||
6.08080 | − | 6.08080i | 0.211835 | − | 0.211835i | |||||
−5.76921 | + | 5.76921i | −0.200858 | + | 0.200858i | |||||
24.2081 | + | 10.0273i | 0.842309 | + | 0.348896i | |||||
−20.0190 | + | 48.3300i | −0.696127 | + | 1.68060i | 0.0359274 | + | 0.999354i | ||
−0.732055 | + | 0.681246i | ||||||||
−1.74011 | + | 0.720777i | −0.0604729 | + | 0.0250487i | |||||
− | 23.3260i | − | 0.810144i | −0.914285 | − | 0.405072i | ||||
0.914285 | − | 0.405072i | ||||||||
0.173166 | + | 0.418059i | 0.00601067 | + | 0.0145110i | |||||
−5.91515 | − | 5.91515i | −0.205194 | − | 0.205194i | |||||
0.331821 | 0.0115038 | |||||||||
−9.04240 | − | 16.9382i | −0.313301 | − | 0.586873i | |||||
17.0447 | 0.590210 | |||||||||
5.39398 | + | 5.39398i | 0.186666 | + | 0.186666i | |||||
−1.39104 | − | 3.35826i | −0.0481100 | − | 0.116148i | |||||
2.58579i | 0.0893779i | |||||||||
−21.4029 | + | 8.86537i | −0.739351 | + | 0.306249i | |||||
−5.13605 | + | 12.3995i | −0.177316 | + | 0.428079i | −0.987402 | − | 0.158232i | ||
0.810086 | + | 0.586312i | ||||||||
1.36754 | + | 0.566454i | 0.0471847 | + | 0.0195445i | |||||
31.0491 | − | 31.0491i | 1.07066 | − | 1.07066i | |||||
14.1792 | − | 14.1792i | 0.488648 | − | 0.488648i | |||||
−10.1623 | − | 4.20937i | −0.350009 | − | 0.144979i | |||||
1.80684 | − | 4.36210i | 0.0621941 | − | 0.150150i | |||||
5.16297 | − | 2.13857i | 0.177611 | − | 0.0735691i | |||||
− | 2.38009i | − | 0.0818290i | |||||||
10.6161 | + | 25.6296i | 0.364774 | + | 0.880642i | |||||
−2.21371 | − | 2.21371i | −0.0760191 | − | 0.0760191i | |||||
21.1380 | 0.725456 | |||||||||
−18.9832 | − | 5.76921i | −0.651120 | − | 0.197882i | |||||
−19.9919 | −0.685314 | |||||||||
−0.160248 | − | 0.160248i | −0.00549002 | − | 0.00549002i | |||||
−19.1093 | − | 46.1339i | −0.654290 | − | 1.57960i | −0.806491 | − | 0.591246i | ||
0.152202 | − | 0.988349i | ||||||||
27.4499i | 0.939315i | |||||||||
0.858710 | − | 0.355689i | 0.0293673 | − | 0.0121643i | |||||
0.828427 | − | 2.00000i | 0.0283151 | − | 0.0683586i | |||||
15.8686 | + | 6.57298i | 0.542060 | + | 0.224529i | 0.636876 | − | 0.770966i | ||
−0.0948160 | + | 0.995495i | ||||||||
0.397825 | − | 0.397825i | 0.0135815 | − | 0.0135815i | |||||
−6.19681 | + | 6.19681i | −0.211433 | + | 0.211433i | −0.804876 | − | 0.593443i | ||
0.593443 | + | 0.804876i | ||||||||
4.04283 | + | 1.67459i | 0.137859 | + | 0.0571032i | |||||
−15.8326 | + | 38.2233i | −0.539573 | + | 1.30264i | |||||
−37.0908 | + | 15.3635i | −1.26332 | + | 0.523283i | |||||
− | 35.9177i | − | 1.22265i | −0.791379 | − | 0.611326i | ||||
0.791379 | − | 0.611326i | ||||||||
−0.382683 | − | 0.923880i | −0.0130192 | − | 0.0314310i | |||||
−5.93084 | − | 5.93084i | −0.201655 | − | 0.201655i | |||||
21.8499 | 0.742490 | |||||||||
−3.33376 | + | 16.6699i | −0.113220 | + | 0.566140i | |||||
8.82843 | 0.299656 | |||||||||
15.0337 | + | 15.0337i | 0.509983 | + | 0.509983i | |||||
1.41667 | + | 3.42014i | 0.0480296 | + | 0.115954i | |||||
5.23320i | 0.177320i | |||||||||
−7.31136 | + | 3.02847i | −0.247594 | + | 0.102557i | |||||
−1.43713 | + | 3.46953i | −0.0486394 | + | 0.117426i | |||||
3.73055 | + | 1.54524i | 0.126188 | + | 0.0522686i | |||||
−10.2700 | + | 10.2700i | −0.347189 | + | 0.347189i | |||||
8.58333 | − | 8.58333i | 0.290004 | − | 0.290004i | |||||
−3.90356 | − | 1.61691i | −0.131814 | − | 0.0545991i | 0.315801 | − | 0.948825i | ||
−0.447615 | + | 0.894226i | ||||||||
0.320985 | − | 0.774927i | 0.0108327 | − | 0.0261525i | |||||
−23.2149 | + | 9.61594i | −0.783020 | + | 0.324338i | |||||
0.735084i | 0.0247797i | |||||||||
−11.4789 | − | 27.7125i | −0.386734 | − | 0.933657i | −0.990627 | − | 0.136593i | ||
0.603894 | − | 0.797065i | ||||||||
3.29289 | + | 3.29289i | 0.110877 | + | 0.110877i | |||||
−13.9714 | −0.470175 | −0.235087 | − | 0.971974i | ||||||
−0.235087 | + | 0.971974i | ||||||||
1.30902 | + | 0.397825i | 0.0440270 | + | 0.0133803i | |||||
−3.32729 | −0.111845 | |||||||||
2.27170 | + | 2.27170i | 0.0763194 | + | 0.0763194i | |||||
−8.42959 | − | 20.3508i | −0.283038 | − | 0.683314i | 0.716866 | − | 0.697211i | ||
−0.999903 | + | 0.0138977i | ||||||||
− | 10.6143i | − | 0.356194i | |||||||
−38.1177 | + | 15.7889i | −1.27843 | + | 0.529541i | |||||
2.29422 | − | 5.53874i | 0.0769025 | − | 0.185659i | |||||
−1.56645 | − | 0.648847i | −0.0524782 | − | 0.0217372i | |||||
−11.0563 | + | 11.0563i | −0.370191 | + | 0.370191i | |||||
−3.60806 | + | 3.60806i | −0.120739 | + | 0.120739i | |||||
−16.1683 | − | 6.69711i | −0.540747 | − | 0.223985i | |||||
1.51299 | − | 3.65269i | 0.0505738 | − | 0.122096i | |||||
−3.15432 | + | 1.30656i | −0.105379 | + | 0.0436492i | |||||
0.624979i | 0.0208674i | |||||||||
11.0015 | + | 26.5599i | 0.367124 | + | 0.886316i | |||||
15.6125 | + | 15.6125i | 0.520705 | + | 0.520705i | |||||
4.81204 | 0.160401 | |||||||||
−6.07892 | − | 11.3870i | −0.202518 | − | 0.379356i | |||||
−20.5458 | −0.684102 | |||||||||
24.3675 | + | 24.3675i | 0.810899 | + | 0.810899i | |||||
−3.51620 | − | 8.48886i | −0.116947 | − | 0.282335i | |||||
− | 0.336731i | − | 0.0111933i | |||||||
8.90628 | − | 3.68910i | 0.295891 | − | 0.122562i | |||||
−10.2983 | + | 24.8622i | −0.341948 | + | 0.825535i | 0.655571 | + | 0.755134i | ||
−0.997519 | + | 0.0704015i | ||||||||
−10.2195 | − | 4.23304i | −0.339145 | − | 0.140478i | |||||
0.449934 | − | 0.449934i | 0.0149234 | − | 0.0149234i | |||||
0.347308 | − | 0.347308i | 0.0115131 | − | 0.0115131i | |||||
−32.7838 | − | 13.5795i | −1.08618 | − | 0.449908i | −0.233504 | − | 0.972356i | ||
−0.852671 | + | 0.522447i | ||||||||
−0.820420 | + | 1.98067i | −0.0271668 | + | 0.0655865i | |||||
−1.63495 | + | 0.677220i | −0.0541090 | + | 0.0224127i | |||||
7.45097i | 0.246456i | |||||||||
−1.33390 | − | 3.22033i | −0.0440975 | − | 0.106461i | |||||
−10.8789 | − | 10.8789i | −0.359450 | − | 0.359450i | |||||
−3.06147 | −0.101099 | |||||||||
−0.402015 | − | 4.10346i | −0.0132685 | − | 0.135434i | |||||
−38.6107 | −1.27365 | −0.636824 | − | 0.771009i | ||||||
−0.636824 | + | 0.771009i | ||||||||
−0.577405 | − | 0.577405i | −0.0190365 | − | 0.0190365i | |||||
5.87163 | + | 14.1754i | 0.193477 | + | 0.467094i | |||||
25.6378i | 0.844337i | |||||||||
−0.0694750 | + | 0.0287775i | −0.00228680 | + | 0.000947223i | |||||
−2.21530 | + | 5.34821i | −0.0728781 | + | 0.175943i | |||||
47.1887 | + | 19.5462i | 1.55155 | + | 0.642675i | |||||
−7.61888 | + | 7.61888i | −0.250372 | + | 0.250372i | |||||
−6.08080 | + | 6.08080i | −0.199720 | + | 0.199720i | |||||
−7.88877 | − | 3.26763i | −0.258962 | − | 0.107265i | |||||
8.76150 | − | 21.1521i | 0.287455 | − | 0.693979i | −0.712515 | − | 0.701657i | ||
0.999971 | + | 0.00767791i | ||||||||
−1.03572 | + | 0.429010i | −0.0339626 | + | 0.0140678i | |||||
− | 9.98364i | − | 0.327201i | |||||||
−3.97133 | − | 9.58764i | −0.130085 | − | 0.314054i | |||||
15.3318 | + | 15.3318i | 0.501941 | + | 0.501941i | |||||
−35.6492 | −1.16648 | |||||||||
−0.881302 | + | 2.89987i | −0.0288216 | + | 0.0948358i | |||||
−0.331821 | −0.0108459 | |||||||||
−28.0575 | − | 28.0575i | −0.916598 | − | 0.916598i | 0.0801820 | − | 0.996780i | ||
−0.996780 | + | 0.0801820i | ||||||||
−20.6060 | − | 49.7472i | −0.672809 | − | 1.62430i | |||||
− | 8.38847i | − | 0.273747i | |||||||
0.953329 | − | 0.394882i | 0.0310941 | − | 0.0128796i | |||||
−20.1541 | + | 48.6562i | −0.657004 | + | 1.58615i | 0.145405 | + | 0.989372i | ||
−0.802409 | + | 0.596775i | ||||||||
−4.42516 | − | 1.83296i | −0.144180 | − | 0.0597212i | |||||
16.1387 | − | 16.1387i | 0.525547 | − | 0.525547i | |||||
5.42676 | − | 5.42676i | 0.176626 | − | 0.176626i | |||||
−1.36754 | − | 0.566454i | −0.0444861 | − | 0.0184268i | |||||
−6.54903 | + | 15.8108i | −0.212927 | + | 0.514052i | |||||
−1.41074 | + | 0.584348i | −0.0458430 | + | 0.0189888i | −0.405487 | − | 0.914101i | ||
0.359644 | + | 0.933090i | ||||||||
− | 12.5394i | − | 0.407262i | |||||||
−1.54140 | − | 3.72126i | −0.0500359 | − | 0.120797i | |||||
−7.29475 | − | 7.29475i | −0.236673 | − | 0.236673i | |||||
23.9803 | 0.777614 | |||||||||
−14.0101 | + | 1.37257i | −0.454070 | + | 0.0444851i | |||||
9.95360 | 0.322429 | 0.161214 | − | 0.986919i | ||||||
0.161214 | + | 0.986919i | ||||||||
2.21371 | + | 2.21371i | 0.0716715 | + | 0.0716715i | |||||
−2.22732 | − | 5.37722i | −0.0720743 | − | 0.174003i | |||||
− | 24.7803i | − | 0.801454i | |||||||
−13.3755 | + | 5.54033i | −0.432370 | + | 0.179094i | |||||
−5.38442 | + | 12.9991i | −0.173963 | + | 0.419983i | |||||
39.7788 | + | 16.4769i | 1.28452 | + | 0.532067i | |||||
0.306563 | − | 0.306563i | 0.00989428 | − | 0.00989428i | |||||
17.1924 | − | 17.1924i | 0.554593 | − | 0.554593i | |||||
−3.25397 | − | 1.34784i | −0.104912 | − | 0.0434560i | |||||
−0.828427 | + | 2.00000i | −0.0266957 | + | 0.0644491i | |||||
3.97746 | − | 1.64752i | 0.128105 | − | 0.0530630i | |||||
− | 2.20633i | − | 0.0710244i | |||||||
−2.46088 | − | 5.94110i | −0.0791777 | − | 0.191152i | |||||
4.16375 | + | 4.16375i | 0.133897 | + | 0.133897i | 0.770879 | − | 0.636982i | ||
−0.636982 | + | 0.770879i | ||||||||
8.12522 | 0.261154 | |||||||||
−5.61116 | + | 6.83002i | −0.180256 | + | 0.219412i | |||||
−1.62813 | −0.0522762 | |||||||||
−13.4117 | − | 13.4117i | −0.430403 | − | 0.430403i | 0.458363 | − | 0.888765i | ||
−0.888765 | + | 0.458363i | ||||||||
0.382683 | + | 0.923880i | 0.0122746 | + | 0.0296334i | |||||
58.1943i | 1.86562i | |||||||||
22.2956 | − | 9.23512i | 0.714396 | − | 0.295912i | |||||
0.611045 | − | 1.47519i | 0.0195691 | − | 0.0472440i | |||||
7.42788 | + | 3.07673i | 0.237761 | + | 0.0984837i | |||||
22.8517 | − | 22.8517i | 0.731090 | − | 0.731090i | −0.239746 | − | 0.970836i | ||
0.970836 | + | 0.239746i | ||||||||
−12.5899 | + | 12.5899i | −0.402582 | + | 0.402582i | |||||
21.6610 | + | 8.97229i | 0.692289 | + | 0.286756i | |||||
−0.772622 | + | 1.86527i | −0.0246805 | + | 0.0595840i | |||||
7.31136 | − | 3.02847i | 0.233434 | − | 0.0966915i | |||||
− | 26.5200i | − | 0.846288i | |||||||
−12.4128 | − | 29.9672i | −0.395908 | − | 0.955805i | −0.988626 | − | 0.150396i | ||
0.592718 | − | 0.805410i | ||||||||
8.56854 | + | 8.56854i | 0.273155 | + | 0.273155i | |||||
1.80116 | 0.0573898 | |||||||||
−27.2032 | − | 22.3486i | −0.866325 | − | 0.711724i | |||||
8.12612 | 0.258657 | |||||||||
0.503021 | + | 0.503021i | 0.0160032 | + | 0.0160032i | |||||
−7.27504 | − | 17.5635i | −0.231333 | − | 0.558487i | |||||
− | 0.735084i | − | 0.0233625i | |||||||
43.3309 | − | 17.9482i | 1.37645 | − | 0.570145i | 0.432921 | − | 0.901432i | ||
0.943530 | + | 0.331287i | ||||||||
0.989538 | − | 2.38896i | 0.0314179 | − | 0.0758494i | |||||
−3.76696 | − | 1.56033i | −0.119541 | − | 0.0495154i | |||||
0.547123 | − | 0.547123i | 0.0173537 | − | 0.0173537i | |||||
3.28290 | − | 3.28290i | 0.104075 | − | 0.104075i | |||||
0.964279 | + | 0.399418i | 0.0305544 | + | 0.0126560i | |||||
−18.1610 | + | 43.8446i | −0.575166 | + | 1.38857i | 0.321941 | + | 0.946760i | ||
−0.897107 | + | 0.441813i | ||||||||
4.19438 | − | 1.73737i | 0.132771 | − | 0.0549954i | |||||
10.6143i | 0.335823i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 102.2.h.a.49.2 | yes | 8 | |
3.2 | odd | 2 | 306.2.l.d.253.2 | 8 | |||
4.3 | odd | 2 | 816.2.bq.b.49.1 | 8 | |||
17.3 | odd | 16 | 1734.2.b.k.577.6 | 8 | |||
17.5 | odd | 16 | 1734.2.a.v.1.3 | 4 | |||
17.6 | odd | 16 | 1734.2.f.m.829.3 | 8 | |||
17.7 | odd | 16 | 1734.2.f.m.1483.3 | 8 | |||
17.8 | even | 8 | inner | 102.2.h.a.25.2 | ✓ | 8 | |
17.10 | odd | 16 | 1734.2.f.j.1483.2 | 8 | |||
17.11 | odd | 16 | 1734.2.f.j.829.2 | 8 | |||
17.12 | odd | 16 | 1734.2.a.w.1.2 | 4 | |||
17.14 | odd | 16 | 1734.2.b.k.577.3 | 8 | |||
51.5 | even | 16 | 5202.2.a.br.1.2 | 4 | |||
51.8 | odd | 8 | 306.2.l.d.127.2 | 8 | |||
51.29 | even | 16 | 5202.2.a.bt.1.3 | 4 | |||
68.59 | odd | 8 | 816.2.bq.b.433.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
102.2.h.a.25.2 | ✓ | 8 | 17.8 | even | 8 | inner | |
102.2.h.a.49.2 | yes | 8 | 1.1 | even | 1 | trivial | |
306.2.l.d.127.2 | 8 | 51.8 | odd | 8 | |||
306.2.l.d.253.2 | 8 | 3.2 | odd | 2 | |||
816.2.bq.b.49.1 | 8 | 4.3 | odd | 2 | |||
816.2.bq.b.433.1 | 8 | 68.59 | odd | 8 | |||
1734.2.a.v.1.3 | 4 | 17.5 | odd | 16 | |||
1734.2.a.w.1.2 | 4 | 17.12 | odd | 16 | |||
1734.2.b.k.577.3 | 8 | 17.14 | odd | 16 | |||
1734.2.b.k.577.6 | 8 | 17.3 | odd | 16 | |||
1734.2.f.j.829.2 | 8 | 17.11 | odd | 16 | |||
1734.2.f.j.1483.2 | 8 | 17.10 | odd | 16 | |||
1734.2.f.m.829.3 | 8 | 17.6 | odd | 16 | |||
1734.2.f.m.1483.3 | 8 | 17.7 | odd | 16 | |||
5202.2.a.br.1.2 | 4 | 51.5 | even | 16 | |||
5202.2.a.bt.1.3 | 4 | 51.29 | even | 16 |