Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [85,2,Mod(21,85)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(85, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("85.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 85.e (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 | 81.3 | ||
Root | of defining polynomial | ||
Character | 85.81 | ||
Dual form | 85.2.e.a.21.4 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
− | 1.12708i | − | 0.796963i | −0.917176 | − | 0.398482i | ||||
0.917176 | − | 0.398482i | ||||||||
−1.75550 | − | 1.75550i | −1.01354 | − | 1.01354i | −0.999907 | − | 0.0136316i | ||
−0.0136316 | − | 0.999907i | ||||||||
0.729699 | 0.364850 | |||||||||
−0.707107 | − | 0.707107i | −0.316228 | − | 0.316228i | |||||
−1.97858 | + | 1.97858i | −0.807753 | + | 0.807753i | |||||
−1.72715 | + | 1.72715i | −0.652802 | + | 0.652802i | −0.953667 | − | 0.300865i | ||
0.300865 | + | 0.953667i | ||||||||
− | 3.07658i | − | 1.08773i | |||||||
3.16356i | 1.05452i | |||||||||
−0.796963 | + | 0.796963i | −0.252022 | + | 0.252022i | |||||
2.57251 | − | 2.57251i | 0.775641 | − | 0.775641i | −0.203446 | − | 0.979086i | ||
0.979086 | + | 0.203446i | ||||||||
−1.28099 | − | 1.28099i | −0.369789 | − | 0.369789i | |||||
3.64168 | 1.01002 | 0.505010 | − | 0.863113i | ||||||
0.505010 | + | 0.863113i | ||||||||
1.94663 | + | 1.94663i | 0.520259 | + | 0.520259i | |||||
2.48265i | 0.641018i | |||||||||
−2.00814 | −0.502035 | |||||||||
3.03394 | + | 2.79199i | 0.735839 | + | 0.677157i | |||||
3.56558 | 0.840415 | |||||||||
2.61358i | 0.599596i | 0.954003 | + | 0.299798i | ||||||
−0.954003 | + | 0.299798i | ||||||||
−0.515975 | − | 0.515975i | −0.115376 | − | 0.115376i | |||||
6.06403 | 1.32328 | |||||||||
−2.89941 | − | 2.89941i | −0.618157 | − | 0.618157i | |||||
0.993850 | − | 0.993850i | 0.207232 | − | 0.207232i | −0.595858 | − | 0.803090i | ||
0.803090 | + | 0.595858i | ||||||||
−5.40094 | + | 5.40094i | −1.10246 | + | 1.10246i | |||||
1.00000i | 0.200000i | |||||||||
− | 4.10445i | − | 0.804949i | |||||||
0.287137 | − | 0.287137i | 0.0552596 | − | 0.0552596i | |||||
−1.26030 | + | 1.26030i | −0.238175 | + | 0.238175i | |||||
0.601589 | + | 0.601589i | 0.111712 | + | 0.111712i | 0.760753 | − | 0.649041i | ||
−0.649041 | + | 0.760753i | ||||||||
2.79814 | 0.510868 | |||||||||
−6.67744 | − | 6.67744i | −1.19930 | − | 1.19930i | −0.974376 | − | 0.224928i | ||
−0.224928 | − | 0.974376i | ||||||||
− | 3.88983i | − | 0.687632i | |||||||
−9.03208 | −1.57228 | |||||||||
3.14678 | − | 3.41948i | 0.539669 | − | 0.586436i | |||||
2.44256 | 0.412868 | |||||||||
2.30845i | 0.384742i | |||||||||
7.78199 | + | 7.78199i | 1.27935 | + | 1.27935i | 0.941031 | + | 0.338320i | ||
0.338320 | + | 0.941031i | ||||||||
2.94570 | 0.477856 | |||||||||
−6.39297 | − | 6.39297i | −1.02369 | − | 1.02369i | |||||
−2.17547 | + | 2.17547i | −0.343972 | + | 0.343972i | |||||
−6.74550 | + | 6.74550i | −1.05347 | + | 1.05347i | −0.0549831 | + | 0.998487i | ||
−0.998487 | + | 0.0549831i | ||||||||
− | 6.83463i | − | 1.05461i | |||||||
7.47280i | 1.13959i | 0.821786 | + | 0.569796i | ||||||
−0.821786 | + | 0.569796i | ||||||||
1.87716 | − | 1.87716i | 0.282992 | − | 0.282992i | |||||
2.23698 | − | 2.23698i | 0.333469 | − | 0.333469i | |||||
−1.12014 | − | 1.12014i | −0.165156 | − | 0.165156i | |||||
−5.42683 | −0.791585 | −0.395792 | − | 0.918340i | ||||||
−0.395792 | + | 0.918340i | ||||||||
3.52529 | + | 3.52529i | 0.508832 | + | 0.508832i | |||||
1.03389i | 0.147699i | |||||||||
1.12708 | 0.159393 | |||||||||
−0.424747 | − | 10.2274i | −0.0594765 | − | 1.43213i | |||||
2.65733 | 0.368506 | |||||||||
− | 12.9453i | − | 1.77817i | −0.457737 | − | 0.889087i | ||||
0.457737 | − | 0.889087i | ||||||||
−0.323626 | − | 0.323626i | −0.0440399 | − | 0.0440399i | |||||
−3.63808 | −0.490558 | |||||||||
5.31372 | + | 5.31372i | 0.710076 | + | 0.710076i | |||||
4.58814 | − | 4.58814i | 0.607714 | − | 0.607714i | |||||
0.678037 | − | 0.678037i | 0.0890306 | − | 0.0890306i | |||||
1.40270i | 0.182616i | 0.995823 | + | 0.0913081i | ||||||
−0.995823 | + | 0.0913081i | ||||||||
1.81159i | 0.233875i | |||||||||
0.804485 | − | 0.804485i | 0.103004 | − | 0.103004i | −0.653727 | − | 0.756731i | ||
0.756731 | + | 0.653727i | ||||||||
−7.52598 | + | 7.52598i | −0.955800 | + | 0.955800i | |||||
−5.46396 | − | 5.46396i | −0.688394 | − | 0.688394i | |||||
−8.40042 | −1.05005 | |||||||||
−2.57506 | − | 2.57506i | −0.319396 | − | 0.319396i | |||||
10.1798i | 1.25305i | |||||||||
−2.07908 | −0.254000 | −0.127000 | − | 0.991903i | ||||||
−0.127000 | + | 0.991903i | ||||||||
2.21387 | + | 2.03731i | 0.268471 | + | 0.247060i | |||||
−3.48941 | −0.420076 | |||||||||
− | 2.75295i | − | 0.329041i | |||||||
8.69168 | + | 8.69168i | 1.03151 | + | 1.03151i | 0.999487 | + | 0.0320251i | ||
0.0320251 | + | 0.999487i | ||||||||
9.73296 | 1.14704 | |||||||||
1.04359 | + | 1.04359i | 0.122143 | + | 0.122143i | 0.765536 | − | 0.643393i | ||
−0.643393 | + | 0.765536i | ||||||||
8.77090 | − | 8.77090i | 1.01960 | − | 1.01960i | |||||
1.75550 | − | 1.75550i | 0.202708 | − | 0.202708i | |||||
1.90713i | 0.218762i | |||||||||
8.88623i | 1.01268i | |||||||||
−7.20536 | + | 7.20536i | −0.815847 | + | 0.815847i | |||||
6.34470 | − | 6.34470i | 0.713834 | − | 0.713834i | −0.253501 | − | 0.967335i | ||
0.967335 | + | 0.253501i | ||||||||
1.41997 | + | 1.41997i | 0.158757 | + | 0.158757i | |||||
8.48255 | 0.942506 | |||||||||
7.60269 | + | 7.60269i | 0.839577 | + | 0.839577i | |||||
2.52680i | 0.277353i | 0.990338 | + | 0.138676i | ||||||
−0.990338 | + | 0.138676i | ||||||||
4.42492 | 0.482799 | |||||||||
−0.171086 | − | 4.11955i | −0.0185569 | − | 0.446828i | |||||
8.42242 | 0.908213 | |||||||||
− | 2.11218i | − | 0.226449i | |||||||
−7.91453 | − | 7.91453i | −0.843691 | − | 0.843691i | |||||
−1.66373 | −0.176355 | −0.0881775 | − | 0.996105i | ||||||
−0.0881775 | + | 0.996105i | ||||||||
−2.52124 | − | 2.52124i | −0.265762 | − | 0.265762i | |||||
−6.28973 | + | 6.28973i | −0.659343 | + | 0.659343i | |||||
0.725212 | − | 0.725212i | 0.0756086 | − | 0.0756086i | |||||
23.4445i | 2.43108i | |||||||||
6.11645i | 0.630864i | |||||||||
1.84808 | − | 1.84808i | 0.189609 | − | 0.189609i | |||||
−6.82860 | + | 6.82860i | −0.696941 | + | 0.696941i | |||||
−8.67432 | − | 8.67432i | −0.880744 | − | 0.880744i | 0.112867 | − | 0.993610i | ||
−0.993610 | + | 0.112867i | ||||||||
1.16527 | 0.117710 | |||||||||
8.13830 | + | 8.13830i | 0.817930 | + | 0.817930i | |||||
0.729699i | 0.0729699i | |||||||||
−4.18131 | −0.416056 | −0.208028 | − | 0.978123i | ||||||
−0.208028 | + | 0.978123i | ||||||||
−11.5271 | + | 0.478722i | −1.14135 | + | 0.0474006i | |||||
8.08417 | 0.796557 | 0.398279 | − | 0.917265i | ||||||
0.398279 | + | 0.917265i | ||||||||
− | 11.2039i | − | 1.09863i | |||||||
−4.28792 | − | 4.28792i | −0.418458 | − | 0.418458i | |||||
−14.5903 | −1.41714 | |||||||||
−6.22304 | − | 6.22304i | −0.601604 | − | 0.601604i | 0.339134 | − | 0.940738i | ||
−0.940738 | + | 0.339134i | ||||||||
0.209524 | − | 0.209524i | 0.0201615 | − | 0.0201615i | |||||
10.1218 | − | 10.1218i | 0.969496 | − | 0.969496i | −0.0300524 | − | 0.999548i | ||
0.999548 | + | 0.0300524i | ||||||||
4.10039i | 0.390957i | |||||||||
− | 27.3226i | − | 2.59334i | |||||||
3.46836 | − | 3.46836i | 0.327730 | − | 0.327730i | |||||
−8.10334 | + | 8.10334i | −0.762298 | + | 0.762298i | −0.976737 | − | 0.214440i | ||
0.214440 | + | 0.976737i | ||||||||
−5.17118 | − | 5.17118i | −0.484325 | − | 0.484325i | |||||
−1.40552 | −0.131065 | |||||||||
0.438979 | + | 0.438979i | 0.0407582 | + | 0.0407582i | |||||
11.5207i | 1.06509i | |||||||||
1.58095 | 0.145538 | |||||||||
−10.0623 | + | 0.417888i | −0.922407 | + | 0.0383077i | |||||
7.63808 | 0.697258 | |||||||||
− | 2.23561i | − | 0.203237i | |||||||
−0.906716 | − | 0.906716i | −0.0820902 | − | 0.0820902i | |||||
23.6835 | 2.13547 | |||||||||
−4.87252 | − | 4.87252i | −0.437565 | − | 0.437565i | |||||
0.707107 | − | 0.707107i | 0.0632456 | − | 0.0632456i | |||||
−6.15830 | + | 6.15830i | −0.548625 | + | 0.548625i | |||||
− | 2.51562i | − | 0.223225i | −0.993752 | − | 0.111613i | ||||
0.993752 | − | 0.111613i | ||||||||
1.68825i | 0.149221i | |||||||||
13.1185 | − | 13.1185i | 1.15502 | − | 1.15502i | |||||
−2.90228 | + | 2.90228i | −0.254547 | + | 0.254547i | |||||
−1.57140 | − | 1.57140i | −0.137294 | − | 0.137294i | 0.635120 | − | 0.772414i | ||
−0.772414 | + | 0.635120i | ||||||||
−6.59071 | −0.573647 | |||||||||
−4.51405 | − | 4.51405i | −0.391417 | − | 0.391417i | |||||
2.34328i | 0.202428i | |||||||||
−0.406074 | −0.0349493 | |||||||||
8.58977 | − | 9.33416i | 0.736567 | − | 0.800398i | |||||
−22.1633 | −1.89354 | −0.946771 | − | 0.321908i | ||||||
−0.946771 | + | 0.321908i | ||||||||
3.93283i | 0.334785i | |||||||||
9.81865 | + | 9.81865i | 0.832807 | + | 0.832807i | 0.987900 | − | 0.155093i | ||
−0.155093 | + | 0.987900i | ||||||||
1.78234 | 0.150635 | |||||||||
9.52680 | + | 9.52680i | 0.802302 | + | 0.802302i | |||||
9.79618 | − | 9.79618i | 0.822077 | − | 0.822077i | |||||
9.36825 | − | 9.36825i | 0.783413 | − | 0.783413i | |||||
− | 6.35288i | − | 0.529407i | |||||||
− | 0.850775i | − | 0.0706530i | |||||||
1.17621 | − | 1.17621i | 0.0973438 | − | 0.0973438i | |||||
1.81500 | − | 1.81500i | 0.149698 | − | 0.149698i | |||||
5.67851 | + | 5.67851i | 0.466771 | + | 0.466771i | |||||
−11.6461 | −0.954087 | −0.477044 | − | 0.878880i | ||||||
−0.477044 | + | 0.878880i | ||||||||
−1.97858 | − | 1.97858i | −0.161551 | − | 0.161551i | |||||
− | 2.82731i | − | 0.230083i | −0.993361 | − | 0.115042i | ||||
0.993361 | − | 0.115042i | ||||||||
8.04088 | 0.652201 | |||||||||
−8.83264 | + | 9.59807i | −0.714076 | + | 0.775958i | |||||
10.0155 | 0.807068 | |||||||||
9.44332i | 0.758506i | |||||||||
−4.66495 | − | 4.66495i | −0.373495 | − | 0.373495i | |||||
1.36913 | 0.109268 | 0.0546342 | − | 0.998506i | ||||||
0.0546342 | + | 0.998506i | ||||||||
−7.15096 | − | 7.15096i | −0.568900 | − | 0.568900i | |||||
−22.7255 | + | 22.7255i | −1.80225 | + | 1.80225i | |||||
−2.75053 | + | 2.75053i | −0.217448 | + | 0.217448i | |||||
3.43306i | 0.270563i | |||||||||
− | 9.56048i | − | 0.751143i | |||||||
−8.54984 | + | 8.54984i | −0.669675 | + | 0.669675i | −0.957641 | − | 0.287966i | ||
0.287966 | + | 0.957641i | ||||||||
−4.92219 | + | 4.92219i | −0.384358 | + | 0.384358i | |||||
6.38665 | + | 6.38665i | 0.497200 | + | 0.497200i | |||||
2.84790 | 0.221040 | |||||||||
4.16611 | + | 4.16611i | 0.322383 | + | 0.322383i | 0.849681 | − | 0.527297i | ||
−0.527297 | + | 0.849681i | ||||||||
− | 18.6565i | − | 1.43938i | |||||||
0.261831 | 0.0201408 | |||||||||
−4.64305 | + | 0.192827i | −0.356106 | + | 0.0147892i | |||||
−8.26822 | −0.632287 | |||||||||
5.45290i | 0.415780i | |||||||||
1.46761 | + | 1.46761i | 0.111580 | + | 0.111580i | 0.760693 | − | 0.649112i | ||
−0.649112 | + | 0.760693i | ||||||||
−2.38059 | −0.180472 | |||||||||
−1.72715 | − | 1.72715i | −0.130560 | − | 0.130560i | |||||
−5.16596 | + | 5.16596i | −0.389399 | + | 0.389399i | |||||
2.46244 | − | 2.46244i | 0.185089 | − | 0.185089i | |||||
1.87515i | 0.140548i | |||||||||
10.5373i | 0.787597i | 0.919197 | + | 0.393799i | ||||||
−0.919197 | + | 0.393799i | ||||||||
1.63232 | − | 1.63232i | 0.121666 | − | 0.121666i | |||||
−2.39758 | + | 2.39758i | −0.178210 | + | 0.178210i | −0.790575 | − | 0.612365i | ||
0.612365 | + | 0.790575i | ||||||||
7.08901 | + | 7.08901i | 0.525472 | + | 0.525472i | |||||
−2.82455 | −0.208797 | |||||||||
−3.05766 | − | 3.05766i | −0.225414 | − | 0.225414i | |||||
− | 11.0054i | − | 0.809133i | |||||||
26.4237 | 1.93748 | |||||||||
14.9873 | − | 0.622424i | 1.09598 | − | 0.0455162i | |||||
−3.95995 | −0.288809 | |||||||||
0.991860i | 0.0721472i | |||||||||
−2.08293 | − | 2.08293i | −0.151111 | − | 0.151111i | |||||
−12.3426 | −0.893077 | −0.446538 | − | 0.894764i | ||||||
−0.446538 | + | 0.894764i | ||||||||
14.7469 | + | 14.7469i | 1.06427 | + | 1.06427i | |||||
8.45396 | − | 8.45396i | 0.608529 | − | 0.608529i | −0.334032 | − | 0.942562i | ||
0.942562 | + | 0.334032i | ||||||||
−9.77662 | + | 9.77662i | −0.701920 | + | 0.701920i | |||||
9.04103i | 0.647441i | |||||||||
0.754430i | 0.0538878i | |||||||||
0.864156 | − | 0.864156i | 0.0615686 | − | 0.0615686i | −0.675652 | − | 0.737221i | ||
0.737221 | + | 0.675652i | ||||||||
9.17248 | − | 9.17248i | 0.651860 | − | 0.651860i | |||||
15.3689 | + | 15.3689i | 1.08947 | + | 1.08947i | 0.995583 | + | 0.0938906i | ||
0.0938906 | + | 0.995583i | ||||||||
3.07658 | 0.217547 | |||||||||
3.64982 | + | 3.64982i | 0.257438 | + | 0.257438i | |||||
4.71265i | 0.331581i | |||||||||
−2.07807 | −0.145852 | |||||||||
−0.309938 | − | 7.46294i | −0.0217000 | − | 0.522511i | |||||
9.53958 | 0.666273 | |||||||||
− | 9.11148i | − | 0.634827i | |||||||
3.14411 | + | 3.14411i | 0.218531 | + | 0.218531i | |||||
−7.31300 | −0.507065 | |||||||||
6.72345 | + | 6.72345i | 0.465071 | + | 0.465071i | |||||
−4.83281 | + | 4.83281i | −0.333496 | + | 0.333496i | |||||
−11.9397 | + | 11.9397i | −0.821965 | + | 0.821965i | −0.986390 | − | 0.164425i | ||
0.164425 | + | 0.986390i | ||||||||
− | 9.44618i | − | 0.648767i | |||||||
− | 30.5165i | − | 2.09096i | |||||||
−7.01384 | + | 7.01384i | −0.479456 | + | 0.479456i | |||||
5.28407 | − | 5.28407i | 0.360371 | − | 0.360371i | |||||
−0.883401 | − | 0.883401i | −0.0601078 | − | 0.0601078i | |||||
23.0659 | 1.56582 | |||||||||
−11.4081 | − | 11.4081i | −0.772653 | − | 0.772653i | |||||
− | 3.66406i | − | 0.247594i | |||||||
−2.65470 | −0.178980 | |||||||||
11.0486 | + | 10.1675i | 0.743212 | + | 0.683942i | |||||
−30.7946 | −2.06680 | |||||||||
− | 9.61320i | − | 0.643748i | −0.946783 | − | 0.321874i | ||||
0.946783 | − | 0.321874i | ||||||||
6.71833 | + | 6.71833i | 0.448887 | + | 0.448887i | |||||
−3.16356 | −0.210904 | |||||||||
9.13308 | + | 9.13308i | 0.607523 | + | 0.607523i | |||||
1.25815 | − | 1.25815i | 0.0835064 | − | 0.0835064i | −0.664120 | − | 0.747626i | ||
0.747626 | + | 0.664120i | ||||||||
3.34796 | − | 3.34796i | 0.221724 | − | 0.221724i | |||||
− | 16.7429i | − | 1.10640i | −0.833048 | − | 0.553201i | ||||
0.833048 | − | 0.553201i | ||||||||
1.58412i | 0.104454i | |||||||||
15.5998 | − | 15.5998i | 1.02639 | − | 1.02639i | |||||
1.85084 | − | 1.85084i | 0.121513 | − | 0.121513i | |||||
9.25323 | + | 9.25323i | 0.606199 | + | 0.606199i | 0.941951 | − | 0.335751i | ||
−0.335751 | + | 0.941951i | ||||||||
12.9847 | 0.848836 | |||||||||
3.83735 | + | 3.83735i | 0.250321 | + | 0.250321i | |||||
1.02355i | 0.0666275i | |||||||||
−22.2762 | −1.44700 | |||||||||
0.470992 | + | 11.3409i | 0.0305299 | + | 0.735124i | |||||
−23.9469 | −1.54900 | −0.774498 | − | 0.632577i | ||||||
−0.774498 | + | 0.632577i | ||||||||
− | 4.98551i | − | 0.321814i | |||||||
−12.2266 | − | 12.2266i | −0.787587 | − | 0.787587i | 0.193511 | − | 0.981098i | ||
−0.981098 | + | 0.193511i | ||||||||
−2.51970 | −0.161972 | |||||||||
−15.7525 | − | 15.7525i | −1.01053 | − | 1.01053i | |||||
0.587032 | − | 0.587032i | 0.0375809 | − | 0.0375809i | |||||
0.731071 | − | 0.731071i | 0.0467064 | − | 0.0467064i | |||||
− | 26.6931i | − | 1.70189i | |||||||
9.51781i | 0.605604i | |||||||||
−20.5437 | + | 20.5437i | −1.30452 | + | 1.30452i | |||||
4.43581 | − | 4.43581i | 0.281108 | − | 0.281108i | |||||
−0.796963 | − | 0.796963i | −0.0504044 | − | 0.0504044i | |||||
18.2106 | 1.14944 | 0.574722 | − | 0.818349i | ||||||
0.574722 | + | 0.818349i | ||||||||
−3.98705 | − | 3.98705i | −0.251160 | − | 0.251160i | |||||
− | 5.11338i | − | 0.321475i | |||||||
−2.83529 | −0.177902 | |||||||||
−6.93154 | + | 7.53222i | −0.434070 | + | 0.471686i | |||||
−14.8981 | −0.931128 | |||||||||
− | 2.58018i | − | 0.160947i | −0.996757 | − | 0.0804735i | ||||
0.996757 | − | 0.0804735i | ||||||||
−14.7856 | − | 14.7856i | −0.920509 | − | 0.920509i | |||||
−26.8814 | −1.67033 | |||||||||
−1.87902 | − | 1.87902i | −0.116532 | − | 0.116532i | |||||
−1.90317 | + | 1.90317i | −0.117803 | + | 0.117803i | |||||
−1.77109 | + | 1.77109i | −0.109418 | + | 0.109418i | |||||
9.58787i | 0.591213i | 0.955310 | + | 0.295607i | ||||||
−0.955310 | + | 0.295607i | ||||||||
27.7879i | 1.71023i | |||||||||
−9.15372 | + | 9.15372i | −0.562308 | + | 0.562308i | |||||
−5.08767 | + | 5.08767i | −0.311945 | + | 0.311945i | |||||
2.92068 | + | 2.92068i | 0.178743 | + | 0.178743i | |||||
−1.51710 | −0.0926717 | |||||||||
−5.01049 | − | 5.01049i | −0.305495 | − | 0.305495i | 0.537664 | − | 0.843159i | ||
−0.843159 | + | 0.537664i | ||||||||
0.457676i | 0.0278533i | |||||||||
−13.7773 | −0.836909 | −0.418454 | − | 0.908238i | ||||||
−0.418454 | + | 0.908238i | ||||||||
−6.09258 | − | 5.60670i | −0.369417 | − | 0.339956i | |||||
22.0833 | 1.33654 | |||||||||
24.9798i | 1.50908i | |||||||||
2.57251 | + | 2.57251i | 0.155128 | + | 0.155128i | |||||
−2.54622 | −0.153264 | |||||||||
3.19263 | + | 3.19263i | 0.191827 | + | 0.191827i | 0.796485 | − | 0.604658i | ||
−0.604658 | + | 0.796485i | ||||||||
11.0664 | − | 11.0664i | 0.663717 | − | 0.663717i | |||||
21.1245 | − | 21.1245i | 1.26469 | − | 1.26469i | |||||
− | 7.51473i | − | 0.449091i | |||||||
− | 3.44172i | − | 0.205316i | −0.994717 | − | 0.102658i | ||||
0.994717 | − | 0.102658i | ||||||||
10.7374 | − | 10.7374i | 0.639405 | − | 0.639405i | |||||
16.6458 | − | 16.6458i | 0.989493 | − | 0.989493i | −0.0104528 | − | 0.999945i | ||
0.999945 | + | 0.0104528i | ||||||||
6.34231 | + | 6.34231i | 0.376347 | + | 0.376347i | |||||
−6.48861 | −0.384352 | |||||||||
−10.5587 | − | 10.5587i | −0.624351 | − | 0.624351i | |||||
− | 23.3010i | − | 1.37542i | |||||||
12.3057 | 0.725122 | |||||||||
1.40960 | + | 16.9415i | 0.0829174 | + | 0.996556i | |||||
−0.958888 | −0.0563079 | |||||||||
30.4555i | 1.78534i | |||||||||
0.761510 | + | 0.761510i | 0.0445640 | + | 0.0445640i | |||||
15.5924 | 0.910918 | 0.455459 | − | 0.890257i | ||||||
0.455459 | + | 0.890257i | ||||||||
−2.04564 | − | 2.04564i | −0.119304 | − | 0.119304i | |||||
0.991860 | − | 0.991860i | 0.0577483 | − | 0.0577483i | |||||
23.9419 | − | 23.9419i | 1.39160 | − | 1.39160i | |||||
− | 1.47733i | − | 0.0857232i | |||||||
13.1261i | 0.760372i | |||||||||
3.61928 | − | 3.61928i | 0.209309 | − | 0.209309i | |||||
1.28099 | − | 1.28099i | 0.0739579 | − | 0.0739579i | |||||
−12.9067 | − | 12.9067i | −0.743928 | − | 0.743928i | |||||
−3.18660 | −0.183368 | |||||||||
7.34029 | + | 7.34029i | 0.421688 | + | 0.421688i | |||||
− | 5.24843i | − | 0.301018i | |||||||
−1.13771 | −0.0651453 | |||||||||
10.8178 | + | 9.95505i | 0.618410 | + | 0.569093i | |||||
21.6549 | 1.23591 | 0.617955 | − | 0.786214i | ||||||
0.617955 | + | 0.786214i | ||||||||
6.48428i | 0.369476i | |||||||||
−14.1918 | − | 14.1918i | −0.807341 | − | 0.807341i | |||||
10.6433 | 0.604501 | |||||||||
−6.26814 | − | 6.26814i | −0.355434 | − | 0.355434i | 0.506693 | − | 0.862127i | ||
−0.862127 | + | 0.506693i | ||||||||
−19.6685 | + | 19.6685i | −1.11351 | + | 1.11351i | |||||
−12.1015 | + | 12.1015i | −0.684016 | + | 0.684016i | −0.960903 | − | 0.276887i | ||
0.276887 | + | 0.960903i | ||||||||
− | 1.54311i | − | 0.0870828i | |||||||
7.72720i | 0.435379i | |||||||||
4.62972 | − | 4.62972i | 0.260442 | − | 0.260442i | |||||
7.30027 | − | 7.30027i | 0.410024 | − | 0.410024i | −0.471723 | − | 0.881747i | ||
0.881747 | + | 0.471723i | ||||||||
25.6134 | + | 25.6134i | 1.43633 | + | 1.43633i | |||||
3.09519 | 0.173297 | |||||||||
5.93999 | + | 5.93999i | 0.332056 | + | 0.332056i | |||||
21.8491i | 1.21950i | |||||||||
3.86932 | 0.215629 | |||||||||
−7.29708 | + | 7.92944i | −0.406020 | + | 0.441206i | |||||
6.18971 | 0.343873 | |||||||||
3.64168i | 0.202004i | |||||||||
9.63632 | + | 9.63632i | 0.533706 | + | 0.533706i | |||||
−35.5378 | −1.96524 | |||||||||
20.7531 | + | 20.7531i | 1.14590 | + | 1.14590i | |||||
9.37296 | − | 9.37296i | 0.516748 | − | 0.516748i | |||||
7.19824 | − | 7.19824i | 0.396250 | − | 0.396250i | |||||
− | 6.56727i | − | 0.360970i | −0.983578 | − | 0.180485i | ||||
0.983578 | − | 0.180485i | ||||||||
1.84381i | 0.101192i | |||||||||
−24.6188 | + | 24.6188i | −1.34910 | + | 1.34910i | |||||
4.69553 | − | 4.69553i | 0.256928 | − | 0.256928i | |||||
1.47013 | + | 1.47013i | 0.0803217 | + | 0.0803217i | |||||
−12.1774 | −0.664333 | |||||||||
−21.3377 | − | 21.3377i | −1.16234 | − | 1.16234i | −0.983962 | − | 0.178379i | ||
−0.178379 | − | 0.983962i | ||||||||
− | 0.295103i | − | 0.0160515i | |||||||
28.4508 | 1.54524 | |||||||||
−0.124841 | − | 3.00604i | −0.00677047 | − | 0.163025i | |||||
−34.3555 | −1.86046 | |||||||||
9.31892i | 0.503909i | |||||||||
−13.8758 | − | 13.8758i | −0.749220 | − | 0.749220i | |||||
22.9907 | 1.23957 | |||||||||
2.46739 | + | 2.46739i | 0.132840 | + | 0.132840i | |||||
1.65411 | − | 1.65411i | 0.0889254 | − | 0.0889254i | |||||
4.97815 | − | 4.97815i | 0.267241 | − | 0.267241i | −0.560746 | − | 0.827988i | ||
0.827988 | + | 0.560746i | ||||||||
− | 1.54126i | − | 0.0826200i | |||||||
− | 35.4396i | − | 1.89704i | −0.316723 | − | 0.948518i | ||||
0.316723 | − | 0.948518i | ||||||||
−1.94663 | + | 1.94663i | −0.104052 | + | 0.104052i | |||||
1.04566 | − | 1.04566i | 0.0558133 | − | 0.0558133i | |||||
−10.0066 | − | 10.0066i | −0.533355 | − | 0.533355i | |||||
−8.54669 | −0.454895 | −0.227447 | − | 0.973790i | ||||||
−0.227447 | + | 0.973790i | ||||||||
−2.77536 | − | 2.77536i | −0.147509 | − | 0.147509i | |||||
− | 12.2919i | − | 0.652386i | |||||||
−1.21402 | −0.0643430 | |||||||||
18.3979 | + | 16.9307i | 0.973721 | + | 0.896068i | |||||
11.8764 | 0.627686 | |||||||||
20.2839i | 1.07054i | 0.844681 | + | 0.535271i | ||||||
−0.844681 | + | 0.535271i | ||||||||
−6.88224 | − | 6.88224i | −0.362726 | − | 0.362726i | |||||
12.1692 | 0.640485 | |||||||||
2.70225 | + | 2.70225i | 0.142027 | + | 0.142027i | |||||
−3.92461 | + | 3.92461i | −0.205988 | + | 0.205988i | |||||
−4.58962 | + | 4.58962i | −0.240561 | + | 0.240561i | |||||
− | 1.47586i | − | 0.0772503i | |||||||
3.18348i | 0.166403i | |||||||||
−8.99600 | + | 8.99600i | −0.469587 | + | 0.469587i | −0.901781 | − | 0.432193i | ||
0.432193 | + | 0.901781i | ||||||||
−1.99579 | + | 1.99579i | −0.104038 | + | 0.104038i | |||||
−21.3398 | − | 21.3398i | −1.11091 | − | 1.11091i | |||||
−12.4039 | −0.644849 | |||||||||
22.3585 | + | 22.3585i | 1.16080 | + | 1.16080i | |||||
17.1074i | 0.886979i | |||||||||
−11.1454 | −0.577086 | −0.288543 | − | 0.957467i | ||||||
−0.288543 | + | 0.957467i | ||||||||
−0.701519 | − | 16.8918i | −0.0362747 | − | 0.873453i | |||||
−2.48265 | −0.128204 | |||||||||
16.6961i | 0.861034i | |||||||||
2.19079 | + | 2.19079i | 0.112832 | + | 0.112832i | |||||
1.11790 | 0.0574987 | |||||||||
8.96691 | + | 8.96691i | 0.460599 | + | 0.460599i | 0.898852 | − | 0.438253i | ||
−0.438253 | + | 0.898852i | ||||||||
1.34854 | − | 1.34854i | 0.0691787 | − | 0.0691787i | |||||
−4.41617 | + | 4.41617i | −0.226247 | + | 0.226247i | |||||
13.9110i | 0.711749i | |||||||||
17.3523i | 0.886661i | 0.896358 | + | 0.443331i | ||||||
−0.896358 | + | 0.443331i | ||||||||
2.96372 | − | 2.96372i | 0.151241 | − | 0.151241i | |||||
6.28351 | − | 6.28351i | 0.320237 | − | 0.320237i | |||||
−9.52825 | − | 9.52825i | −0.484975 | − | 0.484975i | |||||
−23.6407 | −1.20172 | |||||||||
−6.32965 | − | 6.32965i | −0.321339 | − | 0.321339i | |||||
− | 19.4510i | − | 0.986205i | −0.869971 | − | 0.493103i | ||||
0.869971 | − | 0.493103i | ||||||||
10.1899 | 0.515987 | |||||||||
5.79010 | − | 0.240464i | 0.292818 | − | 0.0121608i | |||||
3.18085 | 0.160657 | |||||||||
5.51720i | 0.278306i | |||||||||
−0.973970 | − | 0.973970i | −0.0490679 | − | 0.0490679i | |||||
−8.97276 | −0.451468 | |||||||||
5.93851 | + | 5.93851i | 0.298421 | + | 0.298421i | |||||
−3.36574 | + | 3.36574i | −0.168922 | + | 0.168922i | −0.786505 | − | 0.617584i | ||
0.617584 | + | 0.786505i | ||||||||
17.3219 | − | 17.3219i | 0.868270 | − | 0.868270i | |||||
15.8488i | 0.793434i | |||||||||
− | 2.00814i | − | 0.100407i | |||||||
17.1148 | − | 17.1148i | 0.854672 | − | 0.854672i | −0.136032 | − | 0.990704i | ||
0.990704 | + | 0.136032i | ||||||||
4.11362 | − | 4.11362i | 0.205169 | − | 0.205169i | |||||
−24.3171 | − | 24.3171i | −1.21132 | − | 1.21132i | |||||
−3.05110 | −0.151798 | |||||||||
−5.99807 | − | 5.99807i | −0.298047 | − | 0.298047i | |||||
2.34214i | 0.116239i | |||||||||
40.0385 | 1.98463 | |||||||||
−31.4655 | + | 1.30677i | −1.55777 | + | 0.0646947i | |||||
18.2463 | 0.902221 | 0.451111 | − | 0.892468i | ||||||
0.451111 | + | 0.892468i | ||||||||
− | 10.7518i | − | 0.530995i | |||||||
38.9078 | + | 38.9078i | 1.91918 | + | 1.91918i | |||||
5.89901 | 0.290624 | |||||||||
−2.42268 | − | 2.42268i | −0.119212 | − | 0.119212i | |||||
3.54365 | − | 3.54365i | 0.174161 | − | 0.174161i | |||||
1.78672 | − | 1.78672i | 0.0877066 | − | 0.0877066i | |||||
− | 14.1655i | − | 0.694522i | |||||||
− | 34.4733i | − | 1.68816i | |||||||
7.57784 | − | 7.57784i | 0.370644 | − | 0.370644i | |||||
1.23229 | − | 1.23229i | 0.0602015 | − | 0.0602015i | −0.676365 | − | 0.736567i | ||
0.736567 | + | 0.676365i | ||||||||
−3.12889 | − | 3.12889i | −0.152674 | − | 0.152674i | |||||
−37.0251 | −1.80449 | −0.902247 | − | 0.431220i | ||||||
−0.902247 | + | 0.431220i | ||||||||
13.4570 | + | 13.4570i | 0.655076 | + | 0.655076i | |||||
− | 17.1681i | − | 0.834743i | |||||||
−39.8273 | −1.93418 | |||||||||
−2.79199 | + | 3.03394i | −0.135431 | + | 0.147168i | |||||
−34.3944 | −1.66641 | |||||||||
2.77894i | 0.134482i | |||||||||
−4.54095 | − | 4.54095i | −0.219495 | − | 0.219495i | |||||
−32.8920 | −1.58804 | |||||||||
−5.95555 | − | 5.95555i | −0.287202 | − | 0.287202i | |||||
21.4877 | − | 21.4877i | 1.03503 | − | 1.03503i | 0.0356645 | − | 0.999364i | ||
0.999364 | − | 0.0356645i | ||||||||
−0.576612 | + | 0.576612i | −0.0277423 | + | 0.0277423i | |||||
15.8246i | 0.760483i | 0.924887 | + | 0.380242i | ||||||
−0.924887 | + | 0.380242i | ||||||||
− | 25.9970i | − | 1.24790i | |||||||
−1.49354 | + | 1.49354i | −0.0716096 | + | 0.0716096i | |||||
7.38590 | − | 7.38590i | 0.353720 | − | 0.353720i | |||||
2.59751 | + | 2.59751i | 0.124256 | + | 0.124256i | |||||
−4.12967 | −0.197323 | |||||||||
−2.94661 | − | 2.94661i | −0.140634 | − | 0.140634i | 0.633285 | − | 0.773919i | ||
−0.773919 | + | 0.633285i | ||||||||
11.1928i | 0.533597i | |||||||||
−3.27078 | −0.155751 | |||||||||
11.4596 | − | 12.4527i | 0.545077 | − | 0.592313i | |||||
15.7201 | 0.746884 | 0.373442 | − | 0.927654i | ||||||
0.373442 | + | 0.927654i | ||||||||
− | 19.9373i | − | 0.946181i | |||||||
1.17643 | + | 1.17643i | 0.0557683 | + | 0.0557683i | |||||
−10.8348 | −0.513043 | |||||||||
20.4448 | + | 20.4448i | 0.967004 | + | 0.967004i | |||||
14.5088 | − | 14.5088i | 0.685476 | − | 0.685476i | |||||
−11.7004 | + | 11.7004i | −0.552176 | + | 0.552176i | −0.927068 | − | 0.374892i | ||
0.374892 | + | 0.927068i | ||||||||
3.56558i | 0.168083i | |||||||||
34.7057i | 1.63423i | |||||||||
−5.91300 | + | 5.91300i | −0.278124 | + | 0.278124i | |||||
−4.96335 | + | 4.96335i | −0.233199 | + | 0.233199i | |||||
−1.41803 | − | 1.41803i | −0.0665515 | − | 0.0665515i | |||||
8.89503 | 0.417005 | |||||||||
−14.1158 | − | 14.1158i | −0.661031 | − | 0.661031i | |||||
1.42830i | 0.0668131i | 0.999442 | + | 0.0334066i | ||||||
−0.999442 | + | 0.0334066i | ||||||||
−18.8705 | −0.881761 | |||||||||
1.67284 | − | 0.0694735i | 0.0780816 | − | 0.00324275i | |||||
−1.02560 | −0.0478191 | |||||||||
− | 11.1662i | − | 0.520062i | −0.965600 | − | 0.260031i | ||||
0.965600 | − | 0.260031i | ||||||||
−17.5821 | − | 17.5821i | −0.817995 | − | 0.817995i | |||||
−29.2204 | −1.35799 | −0.678994 | − | 0.734144i | ||||||
−0.678994 | + | 0.734144i | ||||||||
−1.20807 | − | 1.20807i | −0.0560835 | − | 0.0560835i | |||||
16.5778 | − | 16.5778i | 0.768775 | − | 0.768775i | |||||
10.4291 | − | 10.4291i | 0.483119 | − | 0.483119i | |||||
− | 10.9388i | − | 0.506187i | −0.967442 | − | 0.253093i | ||||
0.967442 | − | 0.253093i | ||||||||
8.40664i | 0.388597i | |||||||||
3.59088 | − | 3.59088i | 0.165811 | − | 0.165811i | |||||
4.32498 | − | 4.32498i | 0.199497 | − | 0.199497i | |||||
−2.40351 | − | 2.40351i | −0.110748 | − | 0.110748i | |||||
4.31552 | 0.198638 | |||||||||
19.2239 | + | 19.2239i | 0.883914 | + | 0.883914i | |||||
25.1070i | 1.15320i | |||||||||
−2.61358 | −0.119919 | |||||||||
−7.34243 | + | 0.304933i | −0.336540 | + | 0.0139766i | |||||
40.9533 | 1.87512 | |||||||||
26.9900i | 1.23449i | |||||||||
−12.1620 | − | 12.1620i | −0.555695 | − | 0.555695i | 0.372384 | − | 0.928079i | ||
−0.928079 | + | 0.372384i | ||||||||
9.65710 | 0.440784 | |||||||||
28.3395 | + | 28.3395i | 1.29217 | + | 1.29217i | |||||
−13.7803 | + | 13.7803i | −0.627678 | + | 0.627678i | |||||
6.02674 | − | 6.02674i | 0.274226 | − | 0.274226i | |||||
− | 1.63132i | − | 0.0741509i | |||||||
12.2673i | 0.557031i | |||||||||
−17.7543 | + | 17.7543i | −0.805352 | + | 0.805352i | |||||
−18.2749 | + | 18.2749i | −0.828113 | + | 0.828113i | −0.987256 | − | 0.159143i | ||
0.159143 | + | 0.987256i | ||||||||
−2.47506 | − | 2.47506i | −0.112041 | − | 0.112041i | |||||
30.0185 | 1.35748 | |||||||||
−0.823973 | − | 0.823973i | −0.0372233 | − | 0.0372233i | |||||
− | 12.2373i | − | 0.552261i | −0.961120 | − | 0.276131i | ||||
0.961120 | − | 0.276131i | ||||||||
17.2818 | 0.779124 | |||||||||
0.145556 | + | 3.50481i | 0.00655550 | + | 0.157849i | |||||
10.7273 | 0.482644 | |||||||||
− | 11.5093i | − | 0.517304i | |||||||
13.4092 | + | 13.4092i | 0.602092 | + | 0.602092i | |||||
−30.0237 | −1.34675 | |||||||||
−4.99949 | − | 4.99949i | −0.224033 | − | 0.224033i | |||||
4.53684 | − | 4.53684i | 0.203097 | − | 0.203097i | −0.598229 | − | 0.801325i | ||
0.801325 | + | 0.598229i | ||||||||
0.515975 | − | 0.515975i | 0.0230751 | − | 0.0230751i | |||||
− | 14.6272i | − | 0.653496i | |||||||
− | 20.5248i | − | 0.916065i | |||||||
15.0825 | − | 15.0825i | 0.672497 | − | 0.672497i | −0.285794 | − | 0.958291i | ||
0.958291 | + | 0.285794i | ||||||||
−16.8103 | + | 16.8103i | −0.748790 | + | 0.748790i | |||||
2.95663 | + | 2.95663i | 0.131568 | + | 0.131568i | |||||
−5.76317 | −0.256204 | |||||||||
−0.459644 | − | 0.459644i | −0.0204135 | − | 0.0204135i | |||||
− | 1.83565i | − | 0.0814436i | |||||||
14.2265 | 0.630577 | 0.315289 | − | 0.948996i | ||||||
0.315289 | + | 0.948996i | ||||||||
8.48939 | + | 7.81237i | 0.375916 | + | 0.345938i | |||||
−3.60489 | −0.159471 | |||||||||
20.1677i | 0.891296i | |||||||||
0.750456 | + | 0.750456i | 0.0331334 | + | 0.0331334i | |||||
−2.90805 | −0.128269 | |||||||||
−5.71637 | − | 5.71637i | −0.251893 | − | 0.251893i | |||||
9.57257 | − | 9.57257i | 0.421409 | − | 0.421409i | |||||
−13.9606 | + | 13.9606i | −0.613985 | + | 0.613985i | |||||
30.2973i | 1.33119i | |||||||||
− | 5.15278i | − | 0.226182i | |||||||
−7.92236 | + | 7.92236i | −0.347419 | + | 0.347419i | |||||
−17.3636 | + | 17.3636i | −0.760714 | + | 0.760714i | −0.976451 | − | 0.215738i | ||
0.215738 | + | 0.976451i | ||||||||
2.14501 | + | 2.14501i | 0.0938846 | + | 0.0938846i | |||||
39.8642 | 1.74314 | 0.871570 | − | 0.490271i | ||||||
0.871570 | + | 0.490271i | ||||||||
−1.14665 | − | 1.14665i | −0.0500917 | − | 0.0500917i | |||||
6.06403i | 0.264656i | |||||||||
10.8063 | 0.471175 | |||||||||
−1.61562 | − | 38.9023i | −0.0703775 | − | 1.69461i | |||||
18.1377 | 0.789341 | |||||||||
21.0245i | 0.914110i | |||||||||
10.3169 | + | 10.3169i | 0.448139 | + | 0.448139i | |||||
−4.43754 | −0.192573 | |||||||||
−3.29390 | − | 3.29390i | −0.142809 | − | 0.142809i | |||||
−24.5650 | + | 24.5650i | −1.06403 | + | 1.06403i | |||||
3.29183 | − | 3.29183i | 0.142451 | − | 0.142451i | |||||
8.80071i | 0.380488i | |||||||||
6.39644i | 0.276284i | |||||||||
18.4983 | − | 18.4983i | 0.798260 | − | 0.798260i | |||||
−5.64720 | + | 5.64720i | −0.243468 | + | 0.243468i | |||||
2.65969 | + | 2.65969i | 0.114561 | + | 0.114561i | |||||
−0.296312 | −0.0127512 | |||||||||
16.1805 | + | 16.1805i | 0.695654 | + | 0.695654i | 0.963470 | − | 0.267816i | ||
−0.267816 | + | 0.963470i | ||||||||
15.5280i | 0.666985i | |||||||||
8.41789 | 0.361246 | |||||||||
10.8604 | − | 11.8015i | 0.465634 | − | 0.505986i | |||||
−14.3144 | −0.613163 | |||||||||
− | 24.8895i | − | 1.06517i | |||||||
10.9849 | + | 10.9849i | 0.469682 | + | 0.469682i | 0.901812 | − | 0.432130i | ||
−0.432130 | + | 0.901812i | ||||||||
−16.1726 | −0.690858 | |||||||||
2.54504 | + | 2.54504i | 0.108620 | + | 0.108620i | |||||
2.89941 | − | 2.89941i | 0.123631 | − | 0.123631i | |||||
−1.57230 | + | 1.57230i | −0.0669822 | + | 0.0669822i | |||||
10.7354i | 0.456931i | |||||||||
21.9165i | 0.931985i | |||||||||
3.59834 | − | 3.59834i | 0.152879 | − | 0.152879i | |||||
−19.3200 | + | 19.3200i | −0.820087 | + | 0.820087i | |||||
7.16467 | + | 7.16467i | 0.303849 | + | 0.303849i | |||||
−0.980081 | −0.0415274 | −0.0207637 | − | 0.999784i | ||||||
−0.0207637 | + | 0.999784i | ||||||||
−23.8089 | − | 23.8089i | −1.00791 | − | 1.00791i | |||||
27.2136i | 1.15101i | |||||||||
−4.90501 | −0.207274 | |||||||||
−27.4028 | − | 25.2175i | −1.15695 | − | 1.06468i | |||||
−3.87908 | −0.163629 | |||||||||
− | 28.8837i | − | 1.21730i | −0.793437 | − | 0.608652i | ||||
0.793437 | − | 0.608652i | ||||||||
6.95170 | + | 6.95170i | 0.292720 | + | 0.292720i | |||||
11.4598 | 0.482119 | |||||||||
−18.7611 | − | 18.7611i | −0.788589 | − | 0.788589i | |||||
−14.6507 | + | 14.6507i | −0.615270 | + | 0.615270i | |||||
26.7406 | − | 26.7406i | 1.12201 | − | 1.12201i | |||||
18.2893i | 0.766729i | 0.923597 | + | 0.383365i | ||||||
−0.923597 | + | 0.383365i | ||||||||
7.31315i | 0.306314i | |||||||||
−7.35702 | + | 7.35702i | −0.307882 | + | 0.307882i | −0.844087 | − | 0.536206i | ||
0.536206 | + | 0.844087i | ||||||||
6.83601 | − | 6.83601i | 0.285828 | − | 0.285828i | |||||
21.6674 | + | 21.6674i | 0.905168 | + | 0.905168i | |||||
−26.2620 | −1.09616 | |||||||||
0.993850 | + | 0.993850i | 0.0414464 | + | 0.0414464i | |||||
− | 26.5753i | − | 1.10730i | |||||||
−28.3066 | −1.17842 | −0.589209 | − | 0.807980i | ||||||
−0.589209 | + | 0.807980i | ||||||||
19.0943 | − | 1.58872i | 0.794219 | − | 0.0660821i | |||||
−29.6819 | −1.23354 | |||||||||
− | 0.620810i | − | 0.0257777i | |||||||
−4.36417 | − | 4.36417i | −0.181056 | − | 0.181056i | |||||
34.3257 | 1.42285 | |||||||||
−33.3019 | − | 33.3019i | −1.37922 | − | 1.37922i | |||||
3.21070 | − | 3.21070i | 0.132860 | − | 0.132860i | |||||
8.14636 | − | 8.14636i | 0.336810 | − | 0.336810i | |||||
− | 17.5738i | − | 0.725968i | |||||||
2.68137i | 0.110672i | 0.998468 | + | 0.0553360i | ||||||
−0.998468 | + | 0.0553360i | ||||||||
1.32440 | − | 1.32440i | 0.0546174 | − | 0.0546174i | |||||
17.4520 | − | 17.4520i | 0.719097 | − | 0.719097i | |||||
−1.11790 | − | 1.11790i | −0.0460233 | − | 0.0460233i | |||||
−3.03405 | −0.124804 | |||||||||
−15.6273 | − | 15.6273i | −0.642279 | − | 0.642279i | |||||
15.3155i | 0.628934i | 0.949268 | + | 0.314467i | ||||||
−0.949268 | + | 0.314467i | ||||||||
−1.66506 | −0.0683183 | |||||||||
7.41059 | + | 6.81961i | 0.303805 | + | 0.279577i | |||||
−8.49817 | −0.348098 | |||||||||
− | 53.9603i | − | 2.20845i | |||||||
−4.07921 | − | 4.07921i | −0.166811 | − | 0.166811i | |||||
43.5243 | 1.77836 | 0.889178 | − | 0.457561i | ||||||
0.889178 | + | 0.457561i | ||||||||
−5.40094 | − | 5.40094i | −0.220492 | − | 0.220492i | |||||
21.7299 | − | 21.7299i | 0.886381 | − | 0.886381i | −0.107792 | − | 0.994173i | ||
0.994173 | + | 0.107792i | ||||||||
−14.5468 | + | 14.5468i | −0.592883 | + | 0.592883i | |||||
− | 6.57729i | − | 0.267848i | |||||||
− | 2.06309i | − | 0.0839459i | |||||||
−1.58081 | + | 1.58081i | −0.0642692 | + | 0.0642692i | |||||
8.27306 | − | 8.27306i | 0.336070 | − | 0.336070i | |||||
−10.3997 | − | 10.3997i | −0.422112 | − | 0.422112i | 0.463818 | − | 0.885930i | ||
−0.885930 | + | 0.463818i | ||||||||
10.1664 | 0.412301 | |||||||||
3.64806 | + | 3.64806i | 0.147827 | + | 0.147827i | |||||
1.28229i | 0.0519184i | |||||||||
−19.7628 | −0.799516 | |||||||||
−6.44517 | + | 7.00370i | −0.260531 | + | 0.283108i | |||||
23.6535 | 0.955354 | 0.477677 | − | 0.878535i | ||||||
0.477677 | + | 0.878535i | ||||||||
− | 24.4067i | − | 0.984974i | |||||||
−16.7467 | − | 16.7467i | −0.675294 | − | 0.675294i | |||||
27.3392 | 1.10153 | |||||||||
7.10492 | + | 7.10492i | 0.286033 | + | 0.286033i | 0.835509 | − | 0.549476i | ||
−0.549476 | + | 0.835509i | ||||||||
−15.9952 | + | 15.9952i | −0.643421 | + | 0.643421i | |||||
−24.3145 | + | 24.3145i | −0.977281 | + | 0.977281i | −0.999748 | − | 0.0224668i | ||
0.0224668 | + | 0.999748i | ||||||||
6.89079i | 0.276741i | |||||||||
− | 0.570743i | − | 0.0229031i | |||||||
−7.06467 | + | 7.06467i | −0.283268 | + | 0.283268i | |||||
2.87351 | − | 2.87351i | 0.115125 | − | 0.115125i | |||||
12.8380 | + | 12.8380i | 0.513930 | + | 0.513930i | |||||
−1.00000 | −0.0400000 | |||||||||
13.6393 | + | 13.6393i | 0.545136 | + | 0.545136i | |||||
− | 23.6060i | − | 0.942735i | |||||||
0.999052 | 0.0398665 | |||||||||
1.88287 | + | 45.3373i | 0.0750749 | + | 1.80772i | |||||
8.70915 | 0.346981 | |||||||||
− | 8.25061i | − | 0.328451i | −0.986423 | − | 0.164226i | ||||
0.986423 | − | 0.164226i | ||||||||
−19.5200 | − | 19.5200i | −0.776462 | − | 0.776462i | |||||
41.9204 | 1.66619 | |||||||||
−8.22796 | − | 8.22796i | −0.326774 | − | 0.326774i | |||||
−1.77881 | + | 1.77881i | −0.0705900 | + | 0.0705900i | |||||
−16.5828 | + | 16.5828i | −0.657550 | + | 0.657550i | |||||
3.76510i | 0.149179i | |||||||||
− | 3.48851i | − | 0.138111i | |||||||
−27.4967 | + | 27.4967i | −1.08775 | + | 1.08775i | |||||
1.19377 | − | 1.19377i | 0.0471879 | − | 0.0471879i | |||||
12.1786 | + | 12.1786i | 0.481024 | + | 0.481024i | 0.905459 | − | 0.424434i | ||
−0.424434 | + | 0.905459i | ||||||||
24.6256 | 0.971895 | |||||||||
−8.88071 | − | 8.88071i | −0.350221 | − | 0.350221i | 0.509971 | − | 0.860192i | ||
−0.860192 | + | 0.509971i | ||||||||
2.50510i | 0.0987149i | |||||||||
−18.5524 | −0.730499 | |||||||||
8.93708 | + | 8.22436i | 0.351625 | + | 0.323583i | |||||
−3.62337 | −0.142449 | −0.0712247 | − | 0.997460i | ||||||
−0.0712247 | + | 0.997460i | ||||||||
− | 26.0972i | − | 1.02520i | |||||||
3.60846 | + | 3.60846i | 0.141645 | + | 0.141645i | |||||
4.10445 | 0.160990 | |||||||||
−40.4922 | − | 40.4922i | −1.58701 | − | 1.58701i | |||||
−6.23881 | + | 6.23881i | −0.244331 | + | 0.244331i | |||||
6.89142 | − | 6.89142i | 0.269682 | − | 0.269682i | −0.559290 | − | 0.828972i | ||
0.828972 | + | 0.559290i | ||||||||
40.0538i | 1.56623i | |||||||||
2.22230i | 0.0868325i | |||||||||
13.5459 | − | 13.5459i | 0.528879 | − | 0.528879i | |||||
−3.30148 | + | 3.30148i | −0.128803 | + | 0.128803i | |||||
−10.5640 | − | 10.5640i | −0.411829 | − | 0.411829i | |||||
−7.19930 | −0.280445 | −0.140222 | − | 0.990120i | ||||||
−0.140222 | + | 0.990120i | ||||||||
4.66033 | + | 4.66033i | 0.181403 | + | 0.181403i | |||||
11.0362i | 0.429258i | 0.976696 | + | 0.214629i | ||||||
−0.976696 | + | 0.214629i | ||||||||
−7.40181 | −0.287680 | |||||||||
−1.54679 | − | 37.2450i | −0.0600725 | − | 1.44648i | |||||
7.77391 | 0.301686 | |||||||||
6.38383i | 0.247554i | |||||||||
27.7473 | + | 27.7473i | 1.07519 | + | 1.07519i | |||||
1.19578 | 0.0463007 | |||||||||
3.04001 | + | 3.04001i | 0.117621 | + | 0.117621i | |||||
−16.8760 | + | 16.8760i | −0.652463 | + | 0.652463i | |||||
1.65695 | − | 1.65695i | 0.0640135 | − | 0.0640135i | |||||
− | 4.13909i | − | 0.159788i | |||||||
− | 23.5881i | − | 0.909929i | |||||||
20.8675 | − | 20.8675i | 0.804382 | − | 0.804382i | −0.179395 | − | 0.983777i | ||
0.983777 | + | 0.179395i | ||||||||
−24.0493 | + | 24.0493i | −0.926343 | + | 0.926343i | |||||
0.287137 | + | 0.287137i | 0.0110519 | + | 0.0110519i | |||||
0.191058 | 0.00734837 | |||||||||
0.394531 | + | 0.394531i | 0.0151631 | + | 0.0151631i | 0.714648 | − | 0.699485i | ||
−0.699485 | + | 0.714648i | ||||||||
− | 32.0662i | − | 1.23150i | |||||||
29.9637 | 1.14990 | |||||||||
−12.6741 | + | 0.526360i | −0.486031 | + | 0.0201850i | |||||
−4.41737 | −0.169274 | |||||||||
38.7213i | 1.48272i | |||||||||
−25.5664 | − | 25.5664i | −0.978272 | − | 0.978272i | 0.0214974 | − | 0.999769i | ||
−0.999769 | + | 0.0214974i | ||||||||
−6.03332 | −0.230690 | |||||||||
15.6718 | + | 15.6718i | 0.598790 | + | 0.598790i | |||||
−15.6390 | + | 15.6390i | −0.597101 | + | 0.597101i | |||||
−29.3922 | + | 29.3922i | −1.12138 | + | 1.12138i | |||||
− | 15.0064i | − | 0.572115i | |||||||
− | 47.1427i | − | 1.79599i | |||||||
2.78093 | − | 2.78093i | 0.105868 | − | 0.105868i | |||||
28.1588 | − | 28.1588i | 1.07121 | − | 1.07121i | 0.0739501 | − | 0.997262i | ||
0.997262 | − | 0.0739501i | ||||||||
1.07091 | + | 1.07091i | 0.0407100 | + | 0.0407100i | |||||
−28.1122 | −1.06789 | |||||||||
−5.61075 | − | 5.61075i | −0.212981 | − | 0.212981i | |||||
− | 13.8857i | − | 0.526714i | |||||||
−6.49829 | −0.246317 | |||||||||
−39.2988 | + | 1.63209i | −1.48855 | + | 0.0618198i | |||||
−39.9431 | −1.51187 | |||||||||
− | 32.4881i | − | 1.22881i | |||||||
−1.26030 | − | 1.26030i | −0.0476349 | − | 0.0476349i | |||||
20.0299 | 0.756520 | 0.378260 | − | 0.925699i | ||||||
0.378260 | + | 0.925699i | ||||||||
−1.17854 | − | 1.17854i | −0.0444812 | − | 0.0444812i | |||||
−20.3388 | + | 20.3388i | −0.767094 | + | 0.767094i | |||||
−21.6101 | + | 21.6101i | −0.814463 | + | 0.814463i | |||||
− | 13.4729i | − | 0.507420i | |||||||
9.63277i | 0.362534i | |||||||||
7.22175 | − | 7.22175i | 0.271602 | − | 0.271602i | |||||
1.79684 | − | 1.79684i | 0.0675295 | − | 0.0675295i | |||||
−6.86493 | − | 6.86493i | −0.257818 | − | 0.257818i | 0.566348 | − | 0.824166i | ||
−0.824166 | + | 0.566348i | ||||||||
−13.8539 | −0.519927 | |||||||||
20.0719 | + | 20.0719i | 0.752753 | + | 0.752753i | |||||
5.11859i | 0.191827i | |||||||||
−13.2727 | −0.497068 | |||||||||
19.0822 | − | 20.7359i | 0.714133 | − | 0.776020i | |||||
−13.2487 | −0.495474 | |||||||||
7.68909i | 0.287355i | |||||||||
42.0388 | + | 42.0388i | 1.56997 | + | 1.56997i | |||||
22.8615 | 0.853182 | |||||||||
14.7143 | + | 14.7143i | 0.548750 | + | 0.548750i | 0.926079 | − | 0.377329i | ||
−0.377329 | + | 0.926079i | ||||||||
−4.49216 | + | 4.49216i | −0.167413 | + | 0.167413i | |||||
−13.9626 | + | 13.9626i | −0.519994 | + | 0.519994i | |||||
− | 13.7156i | − | 0.510443i | |||||||
42.9277i | 1.59650i | |||||||||
−1.74951 | + | 1.74951i | −0.0650200 | + | 0.0650200i | |||||
−0.601589 | + | 0.601589i | −0.0223425 | + | 0.0223425i | |||||
4.42333 | + | 4.42333i | 0.164165 | + | 0.164165i | |||||
39.1557 | 1.45220 | 0.726102 | − | 0.687587i | ||||||
0.726102 | + | 0.687587i | ||||||||
19.3509 | + | 19.3509i | 0.717191 | + | 0.717191i | |||||
29.8595i | 1.10591i | |||||||||
−1.66341 | −0.0615656 | |||||||||
−20.8640 | + | 22.6720i | −0.771682 | + | 0.838556i | |||||
−2.06107 | −0.0761793 | |||||||||
− | 12.9215i | − | 0.477265i | −0.971110 | − | 0.238633i | ||||
0.971110 | − | 0.238633i | ||||||||
10.1392 | + | 10.1392i | 0.374244 | + | 0.374244i | |||||
−2.56679 | −0.0946776 | |||||||||
−3.86591 | − | 3.86591i | −0.142499 | − | 0.142499i | |||||
−5.34844 | + | 5.34844i | −0.197012 | + | 0.197012i | |||||
−24.0516 | + | 24.0516i | −0.885352 | + | 0.885352i | |||||
− | 37.9866i | − | 1.39736i | −0.715434 | − | 0.698680i | ||||
0.715434 | − | 0.698680i | ||||||||
− | 8.03063i | − | 0.295212i | |||||||
16.7085 | − | 16.7085i | 0.613803 | − | 0.613803i | |||||
25.1998 | − | 25.1998i | 0.925112 | − | 0.925112i | |||||
8.65513 | + | 8.65513i | 0.317526 | + | 0.317526i | 0.847816 | − | 0.530290i | ||
−0.530290 | + | 0.847816i | ||||||||
72.1288 | 2.64437 | |||||||||
8.23505 | + | 8.23505i | 0.301709 | + | 0.301709i | |||||
12.5617i | 0.459916i | |||||||||
−7.99371 | −0.292474 | |||||||||
10.9362 | − | 0.454183i | 0.399867 | − | 0.0166066i | |||||
21.4963 | 0.785457 | |||||||||
2.79814i | 0.102174i | |||||||||
−9.97504 | − | 9.97504i | −0.363995 | − | 0.363995i | 0.501287 | − | 0.865281i | ||
−0.865281 | + | 0.501287i | ||||||||
10.8978 | 0.397403 | |||||||||
−31.9688 | − | 31.9688i | −1.16501 | − | 1.16501i | |||||
2.46919 | − | 2.46919i | 0.0899227 | − | 0.0899227i | |||||
−1.99921 | + | 1.99921i | −0.0727588 | + | 0.0727588i | |||||
0.723760i | 0.0263229i | |||||||||
− | 0.782070i | − | 0.0284248i | −0.999899 | − | 0.0142124i | ||||
0.999899 | − | 0.0142124i | ||||||||
10.1064 | − | 10.1064i | 0.367081 | − | 0.367081i | |||||
−8.97654 | + | 8.97654i | −0.325828 | + | 0.325828i | |||||
−5.68576 | − | 5.68576i | −0.206244 | − | 0.206244i | |||||
2.86350 | 0.103802 | 0.0519009 | − | 0.998652i | ||||||
0.0519009 | + | 0.998652i | ||||||||
4.97736 | + | 4.97736i | 0.180311 | + | 0.180311i | |||||
34.9639i | 1.26578i | |||||||||
−9.00636 | −0.325839 | |||||||||
13.0325 | − | 0.541242i | 0.471190 | − | 0.0195686i | |||||
19.5574 | 0.706636 | |||||||||
5.10819i | 0.184446i | |||||||||
26.1535 | + | 26.1535i | 0.943734 | + | 0.943734i | |||||
38.6633 | 1.39423 | 0.697117 | − | 0.716957i | ||||||
0.697117 | + | 0.716957i | ||||||||
−7.08200 | − | 7.08200i | −0.255217 | − | 0.255217i | |||||
−4.52950 | + | 4.52950i | −0.163126 | + | 0.163126i | |||||
6.16885 | − | 6.16885i | 0.222022 | − | 0.222022i | |||||
− | 37.9989i | − | 1.36672i | −0.730080 | − | 0.683362i | ||||
0.730080 | − | 0.683362i | ||||||||
26.6449i | 0.957730i | |||||||||
6.67744 | − | 6.67744i | 0.239861 | − | 0.239861i | |||||
−26.6872 | + | 26.6872i | −0.958016 | + | 0.958016i | |||||
47.1902 | + | 47.1902i | 1.69294 | + | 1.69294i | |||||
−21.9228 | −0.785969 | |||||||||
−17.6299 | − | 17.6299i | −0.631656 | − | 0.631656i | |||||
6.59723i | 0.236219i | |||||||||
44.7188 | 1.60017 | |||||||||
−0.271021 | − | 6.52589i | −0.00969171 | − | 0.233365i | |||||
0.345477 | 0.0123464 | |||||||||
− | 2.07620i | − | 0.0741499i | |||||||
−0.968120 | − | 0.968120i | −0.0345537 | − | 0.0345537i | |||||
6.21831 | 0.221800 | |||||||||
−25.0127 | − | 25.0127i | −0.891606 | − | 0.891606i | 0.103068 | − | 0.994674i | ||
−0.994674 | + | 0.103068i | ||||||||
0.630574 | − | 0.630574i | 0.0224633 | − | 0.0224633i | |||||
16.8315 | − | 16.8315i | 0.599217 | − | 0.599217i | |||||
10.1130i | 0.359804i | |||||||||
− | 27.9914i | − | 0.995259i | |||||||
25.0381 | − | 25.0381i | 0.889691 | − | 0.889691i | |||||
2.92968 | − | 2.92968i | 0.104036 | − | 0.104036i | |||||
3.79344 | + | 3.79344i | 0.134624 | + | 0.134624i | |||||
32.1387 | 1.13984 | |||||||||
11.2147 | + | 11.2147i | 0.397494 | + | 0.397494i | |||||
26.7826i | 0.948688i | 0.880340 | + | 0.474344i | ||||||
−0.880340 | + | 0.474344i | ||||||||
17.8628 | 0.632337 | |||||||||
−16.4647 | − | 15.1516i | −0.582479 | − | 0.536027i | |||||
3.88983 | 0.137526 | |||||||||
− | 5.26331i | − | 0.185970i | |||||||
−19.2897 | − | 19.2897i | −0.681142 | − | 0.681142i | |||||
5.36931 | 0.189479 | |||||||||
2.66327 | + | 2.66327i | 0.0939263 | + | 0.0939263i | |||||
2.42754 | − | 2.42754i | 0.0855596 | − | 0.0855596i | |||||
−27.4072 | + | 27.4072i | −0.965378 | + | 0.965378i | |||||
17.5918i | 0.619262i | |||||||||
12.8641i | 0.452558i | |||||||||
−38.1898 | + | 38.1898i | −1.34268 | + | 1.34268i | −0.449303 | + | 0.893379i | ||
−0.893379 | + | 0.449303i | ||||||||
−6.76028 | + | 6.76028i | −0.237532 | + | 0.237532i | |||||
−37.3327 | − | 37.3327i | −1.31093 | − | 1.31093i | −0.920730 | − | 0.390200i | ||
−0.390200 | − | 0.920730i | ||||||||
−1.51637 | −0.0532141 | |||||||||
24.1860 | + | 24.1860i | 0.848239 | + | 0.848239i | |||||
− | 45.1264i | − | 1.58168i | |||||||
12.0913 | 0.423540 | |||||||||
0.852952 | + | 20.5381i | 0.0298593 | + | 0.718977i | |||||
−19.5308 | −0.683295 | |||||||||
− | 20.5650i | − | 0.719037i | |||||||
−19.8980 | − | 19.8980i | −0.695292 | − | 0.695292i | |||||
6.96103 | 0.243090 | |||||||||
−8.42042 | − | 8.42042i | −0.293875 | − | 0.293875i | 0.544734 | − | 0.838609i | ||
−0.838609 | + | 0.544734i | ||||||||
43.8520 | − | 43.8520i | 1.52951 | − | 1.52951i | |||||
−27.9601 | + | 27.9601i | −0.974627 | + | 0.974627i | −0.999686 | − | 0.0250590i | ||
0.0250590 | + | 0.999686i | ||||||||
− | 24.8716i | − | 0.866443i | |||||||
− | 9.03208i | − | 0.314457i | |||||||
−2.73054 | + | 2.73054i | −0.0950078 | + | 0.0950078i | |||||
−12.9612 | + | 12.9612i | −0.450704 | + | 0.450704i | −0.895588 | − | 0.444884i | ||
0.444884 | + | 0.895588i | ||||||||
2.29425 | + | 2.29425i | 0.0797309 | + | 0.0797309i | |||||
−39.4065 | −1.36864 | −0.684322 | − | 0.729180i | ||||||
−0.684322 | + | 0.729180i | ||||||||
−2.01377 | − | 2.01377i | −0.0698990 | − | 0.0698990i | |||||
− | 11.2093i | − | 0.388847i | |||||||
−30.5916 | −1.06057 | |||||||||
−2.88661 | + | 3.13676i | −0.100015 | + | 0.108682i | |||||
−38.8540 | −1.34541 | |||||||||
− | 5.89177i | − | 0.203893i | |||||||
4.90610 | + | 4.90610i | 0.169681 | + | 0.169681i | |||||
−3.83468 | −0.132546 | |||||||||
−1.38889 | − | 1.38889i | −0.0479783 | − | 0.0479783i | |||||
−14.5709 | + | 14.5709i | −0.503043 | + | 0.503043i | −0.912382 | − | 0.409339i | ||
0.409339 | + | 0.912382i | ||||||||
−13.1921 | + | 13.1921i | −0.455171 | + | 0.455171i | |||||
− | 28.2762i | − | 0.975041i | |||||||
41.7301i | 1.43812i | |||||||||
−6.04194 | + | 6.04194i | −0.208095 | + | 0.208095i | |||||
−8.71241 | + | 8.71241i | −0.299894 | + | 0.299894i | |||||
−0.185142 | − | 0.185142i | −0.00636909 | − | 0.00636909i | |||||
−19.3498 | −0.665259 | |||||||||
3.86123 | + | 3.86123i | 0.132673 | + | 0.132673i | |||||
25.9960i | 0.892706i | |||||||||
−58.4436 | −2.00578 | |||||||||
3.41948 | + | 3.14678i | 0.117287 | + | 0.107934i | |||||
15.4683 | 0.530245 | |||||||||
− | 22.2679i | − | 0.762884i | |||||||
5.82880 | + | 5.82880i | 0.199574 | + | 0.199574i | 0.799817 | − | 0.600243i | ||
−0.600243 | + | 0.799817i | ||||||||
3.13207 | 0.107177 | |||||||||
5.84652 | + | 5.84652i | 0.199947 | + | 0.199947i | |||||
−19.1457 | + | 19.1457i | −0.654386 | + | 0.654386i | |||||
19.6053 | − | 19.6053i | 0.669703 | − | 0.669703i | −0.287944 | − | 0.957647i | ||
0.957647 | + | 0.287944i | ||||||||
37.0717i | 1.26561i | |||||||||
− | 7.00671i | − | 0.239066i | −0.992830 | − | 0.119533i | ||||
0.992830 | − | 0.119533i | ||||||||
3.85578 | − | 3.85578i | 0.131481 | − | 0.131481i | |||||
−40.9049 | + | 40.9049i | −1.39404 | + | 1.39404i | |||||
−24.2183 | − | 24.2183i | −0.824879 | − | 0.824879i | |||||
29.4176 | 1.00139 | 0.500693 | − | 0.865625i | ||||||
0.500693 | + | 0.865625i | ||||||||
−1.11692 | − | 1.11692i | −0.0379983 | − | 0.0379983i | |||||
− | 2.07551i | − | 0.0705696i | |||||||
17.8356 | 0.606077 | |||||||||
27.2662 | − | 32.2153i | 0.926008 | − | 1.09409i | |||||
16.8312 | 0.571287 | |||||||||
− | 32.6436i | − | 1.10736i | |||||||
1.68333 | + | 1.68333i | 0.0570702 | + | 0.0570702i | |||||
−7.57133 | −0.256545 | |||||||||
−31.1406 | − | 31.1406i | −1.05455 | − | 1.05455i | |||||
27.4418 | − | 27.4418i | 0.928763 | − | 0.928763i | |||||
2.92759 | − | 2.92759i | 0.0990271 | − | 0.0990271i | |||||
2.44256i | 0.0825737i | |||||||||
− | 2.67366i | − | 0.0903347i | |||||||
−36.4433 | + | 36.4433i | −1.23060 | + | 1.23060i | −0.266872 | + | 0.963732i | ||
−0.963732 | + | 0.266872i | ||||||||
−3.32106 | + | 3.32106i | −0.112080 | + | 0.112080i | |||||
−27.3725 | − | 27.3725i | −0.923250 | − | 0.923250i | |||||
7.30577 | 0.246277 | |||||||||
−33.0055 | − | 33.0055i | −1.11198 | − | 1.11198i | −0.992882 | − | 0.119102i | ||
−0.119102 | − | 0.992882i | ||||||||
3.68642i | 0.124128i | |||||||||
9.95880 | 0.335140 | 0.167570 | − | 0.985860i | ||||||
0.167570 | + | 0.985860i | ||||||||
8.06219 | + | 7.41924i | 0.271161 | + | 0.249536i | |||||
−3.48242 | −0.117060 | |||||||||
− | 17.7177i | − | 0.595239i | |||||||
13.3201 | + | 13.3201i | 0.447246 | + | 0.447246i | 0.894438 | − | 0.447192i | ||
−0.447192 | + | 0.894438i | ||||||||
−84.0601 | −2.82087 | |||||||||
4.34486 | + | 4.34486i | 0.145722 | + | 0.145722i | |||||
1.32593 | − | 1.32593i | 0.0444453 | − | 0.0444453i | |||||
21.8214 | − | 21.8214i | 0.731046 | − | 0.731046i | |||||
− | 7.01475i | − | 0.234871i | |||||||
− | 14.1834i | − | 0.474631i | |||||||
23.0428 | − | 23.0428i | 0.770667 | − | 0.770667i | |||||
7.45102 | − | 7.45102i | 0.249060 | − | 0.249060i | |||||
−2.91586 | − | 2.91586i | −0.0974119 | − | 0.0974119i | |||||
−12.7073 | −0.424285 | |||||||||
13.1872 | + | 13.1872i | 0.440064 | + | 0.440064i | |||||
− | 8.03414i | − | 0.267954i | |||||||
−2.30845 | −0.0769484 | |||||||||
36.1432 | − | 39.2753i | 1.20410 | − | 1.30845i | |||||
39.1160 | 1.30242 | |||||||||
45.3153i | 1.50800i | |||||||||
24.9306 | + | 24.9306i | 0.829178 | + | 0.829178i | |||||
3.39068 | 0.112710 | |||||||||
5.59407 | + | 5.59407i | 0.185851 | + | 0.185851i | |||||
18.9094 | − | 18.9094i | 0.627876 | − | 0.627876i | −0.319658 | − | 0.947533i | ||
0.947533 | + | 0.319658i | ||||||||
0.918072 | − | 0.918072i | 0.0304673 | − | 0.0304673i | |||||
− | 13.2278i | − | 0.438740i | |||||||
− | 10.0254i | − | 0.332338i | |||||||
7.34196 | − | 7.34196i | 0.243250 | − | 0.243250i | −0.574943 | − | 0.818193i | ||
0.818193 | + | 0.574943i | ||||||||
−9.21362 | + | 9.21362i | −0.305093 | + | 0.305093i | |||||
6.50023 | + | 6.50023i | 0.215126 | + | 0.215126i | |||||
1.60980 | 0.0532476 | |||||||||
1.99726 | + | 1.99726i | 0.0660273 | + | 0.0660273i | |||||
− | 12.2173i | − | 0.403670i | |||||||
5.42811 | 0.179252 | |||||||||
−0.0783019 | − | 1.88542i | −0.00258435 | − | 0.0622282i | |||||
20.4602 | 0.674919 | 0.337460 | − | 0.941340i | ||||||
0.337460 | + | 0.941340i | ||||||||
4.32418i | 0.142564i | |||||||||
−38.0151 | − | 38.0151i | −1.25264 | − | 1.25264i | |||||
−12.5852 | −0.414470 | |||||||||
31.6523 | + | 31.6523i | 1.04185 | + | 1.04185i | |||||
11.3832 | − | 11.3832i | 0.374478 | − | 0.374478i | |||||
−7.78199 | + | 7.78199i | −0.255870 | + | 0.255870i | |||||
32.9337i | 1.08227i | |||||||||
25.5748i | 0.839986i | |||||||||
2.34008 | − | 2.34008i | 0.0768169 | − | 0.0768169i | |||||
3.22981 | − | 3.22981i | 0.105966 | − | 0.105966i | −0.652136 | − | 0.758102i | ||
0.758102 | + | 0.652136i | ||||||||
−18.6844 | − | 18.6844i | −0.612685 | − | 0.612685i | |||||
−2.70215 | −0.0885595 | |||||||||
6.75208 | + | 6.75208i | 0.221172 | + | 0.221172i | |||||
22.0075i | 0.720492i | |||||||||
−12.3288 | −0.403412 | |||||||||
−11.0377 | − | 10.1575i | −0.360972 | − | 0.332185i | |||||
35.4443 | 1.15853 | |||||||||
− | 2.90874i | − | 0.0950243i | −0.998871 | − | 0.0475122i | ||||
0.998871 | − | 0.0475122i | ||||||||
−4.04720 | − | 4.04720i | −0.132146 | − | 0.132146i | |||||
42.4883 | 1.38655 | |||||||||
2.80011 | + | 2.80011i | 0.0913296 | + | 0.0913296i | |||||
−10.8860 | + | 10.8860i | −0.354872 | + | 0.354872i | −0.861919 | − | 0.507046i | ||
0.507046 | + | 0.861919i | ||||||||
−2.70893 | + | 2.70893i | −0.0882618 | + | 0.0882618i | |||||
13.4080i | 0.436626i | |||||||||
− | 2.81682i | − | 0.0916797i | |||||||
0.701351 | − | 0.701351i | 0.0228149 | − | 0.0228149i | |||||
21.6667 | − | 21.6667i | 0.704447 | − | 0.704447i | |||||
16.9623 | + | 16.9623i | 0.551200 | + | 0.551200i | 0.926787 | − | 0.375587i | ||
−0.375587 | + | 0.926787i | ||||||||
−16.2550 | −0.527937 | |||||||||
3.80043 | + | 3.80043i | 0.123367 | + | 0.123367i | |||||
2.94570i | 0.0955712i | |||||||||
−25.6313 | −0.831151 | |||||||||
1.28567 | + | 30.9574i | 0.0416687 | + | 1.00333i | |||||
−9.31030 | −0.301590 | −0.150795 | − | 0.988565i | ||||||
−0.150795 | + | 0.988565i | ||||||||
− | 46.1575i | − | 1.49440i | |||||||
8.72751 | + | 8.72751i | 0.282416 | + | 0.282416i | |||||
−17.4740 | −0.565151 | |||||||||
−5.43360 | − | 5.43360i | −0.175643 | − | 0.175643i | |||||
−13.7075 | + | 13.7075i | −0.442868 | + | 0.442868i | |||||
38.2795 | − | 38.2795i | 1.23611 | − | 1.23611i | |||||
− | 20.8553i | − | 0.673102i | |||||||
58.1763i | 1.87666i | |||||||||
31.9408 | − | 31.9408i | 1.02981 | − | 1.02981i | |||||
19.6870 | − | 19.6870i | 0.634404 | − | 0.634404i | |||||
−8.92177 | − | 8.92177i | −0.287351 | − | 0.287351i | |||||
−11.9557 | −0.384868 | |||||||||
−6.79260 | − | 6.79260i | −0.218548 | − | 0.218548i | |||||
1.29315i | 0.0415848i | 0.999784 | + | 0.0207924i | ||||||
−0.999784 | + | 0.0207924i | ||||||||
−6.87802 | −0.221068 | |||||||||
26.7302 | − | 1.11011i | 0.858697 | − | 0.0356619i | |||||
13.8262 | 0.443933 | |||||||||
39.3251i | 1.26200i | 0.775781 | + | 0.631002i | ||||||
−0.775781 | + | 0.631002i | ||||||||
−11.4946 | − | 11.4946i | −0.368690 | − | 0.368690i | |||||
−33.9166 | −1.08732 | |||||||||
20.5972 | + | 20.5972i | 0.659976 | + | 0.659976i | |||||
6.39297 | − | 6.39297i | 0.204739 | − | 0.204739i | |||||
−1.61552 | + | 1.61552i | −0.0517115 | + | 0.0517115i | |||||
53.3750i | 1.70762i | 0.520586 | + | 0.853809i | ||||||
−0.520586 | + | 0.853809i | ||||||||
− | 33.8331i | − | 1.08186i | |||||||
−4.27996 | + | 4.27996i | −0.136788 | + | 0.136788i | |||||
0.533462 | − | 0.533462i | 0.0170408 | − | 0.0170408i | |||||
32.0211 | + | 32.0211i | 1.02235 | + | 1.02235i | |||||
−13.7924 | −0.440132 | |||||||||
−36.1157 | − | 36.1157i | −1.15191 | − | 1.15191i | −0.986169 | − | 0.165742i | ||
−0.165742 | − | 0.986169i | ||||||||
− | 72.8641i | − | 2.32282i | |||||||
−1.22210 | −0.0389394 | |||||||||
3.95019 | − | 0.164052i | 0.125800 | − | 0.00522449i | |||||
−32.9085 | −1.04749 | |||||||||
6.94514i | 0.220954i | |||||||||
7.42685 | + | 7.42685i | 0.236160 | + | 0.236160i | |||||
−12.9718 | −0.412272 | |||||||||
7.48752 | + | 7.48752i | 0.237849 | + | 0.237849i | 0.815959 | − | 0.578110i | ||
−0.578110 | + | 0.815959i | ||||||||
−25.9741 | + | 25.9741i | −0.824679 | + | 0.824679i | |||||
−11.5288 | + | 11.5288i | −0.365857 | + | 0.365857i | |||||
33.8390i | 1.07331i | |||||||||
− | 21.7349i | − | 0.689043i | |||||||
3.23680 | − | 3.23680i | 0.102562 | − | 0.102562i | |||||
−2.43619 | + | 2.43619i | −0.0771550 | + | 0.0771550i | −0.744631 | − | 0.667476i | ||
0.667476 | + | 0.744631i | ||||||||
−5.11336 | − | 5.11336i | −0.161861 | − | 0.161861i | |||||
4.46900 | 0.141393 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 85.2.e.a.81.3 | yes | 12 | |
3.2 | odd | 2 | 765.2.k.b.676.4 | 12 | |||
4.3 | odd | 2 | 1360.2.bt.d.81.6 | 12 | |||
5.2 | odd | 4 | 425.2.j.c.149.4 | 12 | |||
5.3 | odd | 4 | 425.2.j.b.149.3 | 12 | |||
5.4 | even | 2 | 425.2.e.f.251.4 | 12 | |||
17.2 | even | 8 | 1445.2.a.o.1.4 | 6 | |||
17.4 | even | 4 | inner | 85.2.e.a.21.4 | ✓ | 12 | |
17.8 | even | 8 | 1445.2.d.g.866.6 | 12 | |||
17.9 | even | 8 | 1445.2.d.g.866.5 | 12 | |||
17.15 | even | 8 | 1445.2.a.n.1.4 | 6 | |||
51.38 | odd | 4 | 765.2.k.b.361.3 | 12 | |||
68.55 | odd | 4 | 1360.2.bt.d.1041.6 | 12 | |||
85.4 | even | 4 | 425.2.e.f.276.3 | 12 | |||
85.19 | even | 8 | 7225.2.a.z.1.3 | 6 | |||
85.38 | odd | 4 | 425.2.j.c.174.4 | 12 | |||
85.49 | even | 8 | 7225.2.a.bb.1.3 | 6 | |||
85.72 | odd | 4 | 425.2.j.b.174.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
85.2.e.a.21.4 | ✓ | 12 | 17.4 | even | 4 | inner | |
85.2.e.a.81.3 | yes | 12 | 1.1 | even | 1 | trivial | |
425.2.e.f.251.4 | 12 | 5.4 | even | 2 | |||
425.2.e.f.276.3 | 12 | 85.4 | even | 4 | |||
425.2.j.b.149.3 | 12 | 5.3 | odd | 4 | |||
425.2.j.b.174.3 | 12 | 85.72 | odd | 4 | |||
425.2.j.c.149.4 | 12 | 5.2 | odd | 4 | |||
425.2.j.c.174.4 | 12 | 85.38 | odd | 4 | |||
765.2.k.b.361.3 | 12 | 51.38 | odd | 4 | |||
765.2.k.b.676.4 | 12 | 3.2 | odd | 2 | |||
1360.2.bt.d.81.6 | 12 | 4.3 | odd | 2 | |||
1360.2.bt.d.1041.6 | 12 | 68.55 | odd | 4 | |||
1445.2.a.n.1.4 | 6 | 17.15 | even | 8 | |||
1445.2.a.o.1.4 | 6 | 17.2 | even | 8 | |||
1445.2.d.g.866.5 | 12 | 17.9 | even | 8 | |||
1445.2.d.g.866.6 | 12 | 17.8 | even | 8 | |||
7225.2.a.z.1.3 | 6 | 85.19 | even | 8 | |||
7225.2.a.bb.1.3 | 6 | 85.49 | even | 8 |