Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,2,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 32.g (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: | 8.0.18939904.2 |
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 | 21.1 | ||
Root | of defining polynomial | ||
Character | 32.21 | ||
Dual form | 32.2.g.b.29.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.40426 | + | 0.167452i | −0.992965 | + | 0.118406i | |||||
1.27882 | − | 0.529706i | 0.738329 | − | 0.305826i | 0.0183595 | − | 0.999831i | ||
0.719970 | + | 0.694005i | ||||||||
1.94392 | − | 0.470294i | 0.971960 | − | 0.235147i | |||||
−0.707107 | + | 1.70711i | −0.316228 | + | 0.763441i | 0.683220 | + | 0.730213i | ||
−0.999448 | + | 0.0332288i | ||||||||
−1.70711 | + | 0.957989i | −0.696923 | + | 0.391097i | |||||
−2.74912 | − | 2.74912i | −1.03907 | − | 1.03907i | −0.999205 | − | 0.0398636i | ||
−0.0398636 | − | 0.999205i | ||||||||
−2.65103 | + | 0.985930i | −0.937279 | + | 0.348579i | |||||
−0.766519 | + | 0.766519i | −0.255506 | + | 0.255506i | |||||
0.707107 | − | 2.51564i | 0.223607 | − | 0.795514i | |||||
0.135390 | + | 0.0560803i | 0.0408216 | + | 0.0169089i | 0.403001 | − | 0.915200i | ||
−0.362179 | + | 0.932108i | ||||||||
2.23681 | − | 1.63113i | 0.645712 | − | 0.470866i | |||||
1.18073 | + | 2.85054i | 0.327476 | + | 0.790598i | 0.998778 | + | 0.0494138i | ||
−0.671302 | + | 0.741184i | ||||||||
4.32083 | + | 3.40014i | 1.15479 | + | 0.908727i | |||||
2.55765i | 0.660382i | |||||||||
3.55765 | − | 1.82843i | 0.889412 | − | 0.457107i | |||||
− | 6.44549i | − | 1.56326i | −0.623742 | − | 0.781630i | ||||
0.623742 | − | 0.781630i | ||||||||
0.948041 | − | 1.20475i | 0.223455 | − | 0.283962i | |||||
0.805198 | + | 1.94392i | 0.184725 | + | 0.445966i | 0.988929 | − | 0.148387i | ||
−0.804204 | + | 0.594353i | ||||||||
−0.571717 | + | 3.65103i | −0.127840 | + | 0.816394i | |||||
−4.97186 | − | 2.05941i | −1.08495 | − | 0.449401i | |||||
−0.199514 | − | 0.0560803i | −0.0425365 | − | 0.0119564i | |||||
0.749118 | − | 0.749118i | 0.156202 | − | 0.156202i | −0.624679 | − | 0.780881i | ||
0.780881 | + | 0.624679i | ||||||||
−2.86794 | + | 2.66510i | −0.585416 | + | 0.544010i | |||||
1.12132 | + | 1.12132i | 0.224264 | + | 0.224264i | |||||
−2.13539 | − | 3.80520i | −0.418784 | − | 0.746261i | |||||
−2.16333 | + | 5.22274i | −0.416333 | + | 1.00512i | |||||
−6.63696 | − | 4.05117i | −1.25427 | − | 0.765599i | |||||
4.32417 | − | 1.79113i | 0.802978 | − | 0.332604i | 0.0568292 | − | 0.998384i | ||
0.746148 | + | 0.665780i | ||||||||
−0.428283 | − | 3.59161i | −0.0781934 | − | 0.655736i | |||||
1.17157 | 0.210421 | 0.105210 | − | 0.994450i | ||||||
0.105210 | + | 0.994450i | ||||||||
−4.68971 | + | 3.16333i | −0.829031 | + | 0.559203i | |||||
0.202846 | 0.0353109 | |||||||||
1.07931 | + | 9.05117i | 0.185100 | + | 1.55226i | |||||
6.63696 | − | 2.74912i | 1.12185 | − | 0.464686i | |||||
−1.12956 | + | 1.85054i | −0.188260 | + | 0.308423i | |||||
1.73172 | − | 4.18073i | 0.284692 | − | 0.687308i | −0.715241 | − | 0.698878i | ||
0.999933 | + | 0.0115700i | ||||||||
−1.45622 | − | 2.59495i | −0.236231 | − | 0.420956i | |||||
3.01990 | + | 3.01990i | 0.483571 | + | 0.483571i | |||||
0.191470 | − | 5.22274i | 0.0302741 | − | 0.825788i | |||||
−2.49824 | + | 2.49824i | −0.390159 | + | 0.390159i | −0.874744 | − | 0.484585i | ||
0.484585 | + | 0.874744i | ||||||||
7.32666 | + | 2.05941i | 1.13053 | + | 0.317774i | |||||
−6.10725 | − | 2.52971i | −0.931347 | − | 0.385777i | −0.135158 | − | 0.990824i | ||
−0.796189 | + | 0.605048i | ||||||||
0.289561 | + | 0.0453426i | 0.0436530 | + | 0.00683566i | |||||
−0.766519 | − | 1.85054i | −0.114266 | − | 0.275862i | |||||
−0.926518 | + | 1.17740i | −0.136608 | + | 0.173598i | |||||
2.66981i | 0.389432i | 0.980860 | + | 0.194716i | ||||||
−0.980860 | + | 0.194716i | ||||||||
3.58107 | − | 4.22274i | 0.516884 | − | 0.609500i | |||||
8.11529i | 1.15933i | |||||||||
−1.76240 | − | 1.38686i | −0.249241 | − | 0.196132i | |||||
−3.41421 | − | 8.24264i | −0.478086 | − | 1.15420i | |||||
3.63584 | + | 4.98593i | 0.504200 | + | 0.691424i | |||||
1.64769 | + | 0.682497i | 0.226328 | + | 0.0937482i | 0.492966 | − | 0.870049i | ||
−0.266638 | + | 0.963797i | ||||||||
2.16333 | − | 7.69637i | 0.294392 | − | 1.04734i | |||||
−0.191470 | + | 0.191470i | −0.0258178 | + | 0.0258178i | |||||
9.99842 | + | 4.57754i | 1.33610 | + | 0.611700i | |||||
2.05941 | + | 2.05941i | 0.272776 | + | 0.272776i | |||||
−5.77235 | + | 3.23931i | −0.757946 | + | 0.425342i | |||||
1.43744 | − | 3.47029i | 0.187139 | − | 0.451794i | −0.802267 | − | 0.596965i | ||
0.989407 | + | 0.145171i | ||||||||
1.20285 | + | 4.97186i | 0.155287 | + | 0.641864i | |||||
−3.46760 | + | 1.43633i | −0.443981 | + | 0.183903i | −0.593462 | − | 0.804862i | ||
0.149482 | + | 0.988764i | ||||||||
−1.64520 | + | 0.196182i | −0.208940 | + | 0.0249152i | |||||
4.21450 | 0.530977 | |||||||||
6.05588 | − | 5.22746i | 0.756985 | − | 0.653432i | |||||
−5.70108 | −0.707132 | |||||||||
−0.284849 | + | 0.0339670i | −0.0350625 | + | 0.00418104i | |||||
−14.0791 | + | 5.83176i | −1.72004 | + | 0.712463i | −0.720212 | + | 0.693754i | ||
−0.999825 | + | 0.0187090i | ||||||||
−3.03127 | − | 12.5295i | −0.367596 | − | 1.51943i | |||||
0.561177 | − | 1.35480i | 0.0675578 | − | 0.163099i | |||||
−8.85970 | + | 4.97186i | −1.05894 | + | 0.594251i | |||||
−3.40950 | − | 3.40950i | −0.404633 | − | 0.404633i | 0.475229 | − | 0.879862i | ||
−0.879862 | + | 0.475229i | ||||||||
1.27633 | − | 2.78780i | 0.150417 | − | 0.328545i | |||||
−0.442353 | + | 0.442353i | −0.0517735 | + | 0.0517735i | −0.732520 | − | 0.680746i | ||
0.680746 | + | 0.732520i | ||||||||
−1.73172 | + | 6.16084i | −0.201308 | + | 0.716183i | |||||
2.02794 | + | 0.840001i | 0.234166 | + | 0.0969949i | |||||
2.47945 | + | 3.40014i | 0.284413 | + | 0.390023i | |||||
−0.218031 | − | 0.526374i | −0.0248470 | − | 0.0599859i | |||||
−4.74642 | − | 3.73505i | −0.537427 | − | 0.422911i | |||||
− | 7.07550i | − | 0.796056i | −0.917373 | − | 0.398028i | ||||
0.917373 | − | 0.398028i | ||||||||
0.605684 | + | 7.36618i | 0.0677175 | + | 0.823564i | |||||
4.57283i | 0.508093i | |||||||||
3.08985 | − | 3.92652i | 0.341217 | − | 0.433611i | |||||
2.99862 | + | 7.23931i | 0.329141 | + | 0.794617i | 0.998656 | + | 0.0518190i | ||
−0.669515 | + | 0.742798i | ||||||||
−10.6334 | − | 1.66510i | −1.16020 | − | 0.181677i | |||||
11.0031 | + | 4.55765i | 1.19346 | + | 0.494346i | |||||
8.99980 | + | 2.52971i | 0.970474 | + | 0.272785i | |||||
4.58107 | − | 4.58107i | 0.491143 | − | 0.491143i | |||||
−0.414214 | − | 0.0151854i | −0.0441553 | − | 0.00161877i | |||||
−4.21803 | − | 4.21803i | −0.447110 | − | 0.447110i | 0.447282 | − | 0.894393i | ||
−0.894393 | + | 0.447282i | ||||||||
1.38627 | + | 2.47029i | 0.146126 | + | 0.260392i | |||||
4.59050 | − | 11.0824i | 0.481215 | − | 1.16176i | |||||
1.10392 | − | 1.80853i | 0.115092 | − | 0.188552i | |||||
1.49824 | − | 0.620589i | 0.155360 | − | 0.0643521i | |||||
−0.447065 | − | 3.74912i | −0.0461112 | − | 0.386692i | |||||
−3.88784 | −0.398884 | |||||||||
−4.32167 | + | 6.52951i | −0.441079 | + | 0.666415i | |||||
10.3267 | 1.04851 | 0.524257 | − | 0.851560i | ||||||
0.524257 | + | 0.851560i | ||||||||
−1.35892 | − | 11.3960i | −0.137272 | − | 1.15117i | |||||
−0.146766 | + | 0.0607923i | −0.0147505 | + | 0.00610986i | |||||
2.70711 | + | 1.65241i | 0.270711 | + | 0.165241i | |||||
−4.31750 | + | 10.4234i | −0.429608 | + | 1.03716i | 0.549805 | + | 0.835293i | ||
−0.979412 | + | 0.201871i | ||||||||
6.17471 | + | 11.0031i | 0.611387 | + | 1.08947i | |||||
13.3134 | + | 13.3134i | 1.31181 | + | 1.31181i | 0.920080 | + | 0.391732i | ||
0.391732 | + | 0.920080i | ||||||||
−5.94059 | − | 6.39274i | −0.582523 | − | 0.626860i | |||||
7.03127 | − | 7.03127i | 0.686182 | − | 0.686182i | |||||
−2.42809 | − | 0.682497i | −0.235836 | − | 0.0662900i | |||||
13.2507 | + | 5.48861i | 1.28099 | + | 0.530604i | 0.916288 | − | 0.400519i | ||
0.364704 | + | 0.931124i | ||||||||
−1.74912 | + | 11.1700i | −0.168309 | + | 1.07483i | |||||
−4.87515 | − | 11.7697i | −0.466955 | − | 1.12733i | −0.965486 | − | 0.260456i | ||
0.498531 | − | 0.866872i | ||||||||
0.236813 | − | 0.300937i | 0.0225792 | − | 0.0286932i | |||||
− | 6.26372i | − | 0.594526i | |||||||
−14.8070 | − | 4.75383i | −1.39913 | − | 0.449195i | |||||
− | 5.88118i | − | 0.553254i | −0.960977 | − | 0.276627i | ||||
0.960977 | − | 0.276627i | ||||||||
−3.23681 | − | 2.54711i | −0.303155 | − | 0.238558i | |||||
0.749118 | + | 1.80853i | 0.0698556 | + | 0.168646i | |||||
7.56348 | − | 5.51544i | 0.702251 | − | 0.512096i | |||||
−3.09005 | − | 1.27994i | −0.285675 | − | 0.118330i | |||||
−1.43744 | + | 5.11391i | −0.132327 | + | 0.470774i | |||||
−17.7194 | + | 17.7194i | −1.62433 | + | 1.62433i | |||||
−2.52166 | − | 6.78039i | −0.230195 | − | 0.618962i | |||||
−7.76299 | − | 7.76299i | −0.705726 | − | 0.705726i | |||||
4.62891 | − | 2.59764i | 0.419082 | − | 0.235179i | |||||
−1.87147 | + | 4.51813i | −0.168745 | + | 0.407386i | |||||
2.27744 | − | 0.550984i | 0.204520 | − | 0.0494798i | |||||
−11.2426 | + | 4.65685i | −1.00557 | + | 0.416522i | |||||
−5.91828 | + | 0.705727i | −0.527242 | + | 0.0628711i | |||||
−15.4022 | −1.36672 | −0.683360 | − | 0.730081i | ||||||
−0.683360 | + | 0.730081i | ||||||||
−7.62872 | + | 8.35480i | −0.674290 | + | 0.738467i | |||||
−9.15010 | −0.805621 | |||||||||
8.00583 | − | 0.954657i | 0.702158 | − | 0.0837290i | |||||
−2.96382 | + | 1.22765i | −0.258950 | + | 0.107261i | −0.508382 | − | 0.861132i | ||
0.249432 | + | 0.968392i | ||||||||
0.394316 | − | 0.0953972i | 0.0343208 | − | 0.00830326i | |||||
3.13048 | − | 7.55765i | 0.271447 | − | 0.655331i | |||||
18.7943 | − | 10.5469i | 1.62358 | − | 0.911114i | |||||
−7.38607 | − | 7.38607i | −0.635692 | − | 0.635692i | |||||
6.35480 | + | 17.0872i | 0.544920 | + | 1.46521i | |||||
10.7757 | − | 10.7757i | 0.920628 | − | 0.920628i | −0.0764454 | − | 0.997074i | ||
0.997074 | + | 0.0764454i | ||||||||
−0.561177 | + | 1.99647i | −0.0477706 | + | 0.169951i | |||||
4.78372 | + | 1.98148i | 0.405750 | + | 0.168067i | 0.576218 | − | 0.817296i | ||
−0.170468 | + | 0.985363i | ||||||||
11.6088 | − | 8.46538i | 0.981124 | − | 0.715456i | |||||
1.41421 | + | 3.41421i | 0.119098 | + | 0.287529i | |||||
5.35877 | + | 4.21692i | 0.449698 | + | 0.353876i | |||||
0.452150i | 0.0378107i | |||||||||
−1.32548 | + | 4.12853i | −0.110457 | + | 0.344044i | |||||
8.64833i | 0.718205i | |||||||||
0.547108 | − | 0.695253i | 0.0452789 | − | 0.0575396i | |||||
4.29872 | + | 10.3780i | 0.354553 | + | 0.855966i | |||||
1.40014 | − | 8.94142i | 0.115091 | − | 0.734981i | |||||
4.32417 | + | 1.79113i | 0.354250 | + | 0.146735i | 0.552709 | − | 0.833374i | ||
−0.198460 | + | 0.980109i | ||||||||
−2.98843 | − | 0.840001i | −0.244004 | − | 0.0685858i | |||||
13.2344 | − | 13.2344i | 1.07700 | − | 1.07700i | 0.0802232 | − | 0.996777i | ||
0.996777 | − | 0.0802232i | ||||||||
−4.05117 | − | 4.35951i | −0.328593 | − | 0.353603i | |||||
4.94059 | + | 4.94059i | 0.399423 | + | 0.399423i | |||||
0.394316 | + | 0.702659i | 0.0317749 | + | 0.0566219i | |||||
−0.828427 | + | 2.00000i | −0.0665409 | + | 0.160644i | |||||
7.29068 | + | 4.45020i | 0.583721 | + | 0.356301i | |||||
−15.9529 | + | 6.60790i | −1.27318 | + | 0.527368i | −0.913929 | − | 0.405874i | ||
−0.359249 | + | 0.933242i | ||||||||
1.18481 | + | 9.93588i | 0.0942581 | + | 0.790456i | |||||
2.46863 | 0.195775 | |||||||||
−2.08402 | − | 10.2426i | −0.164756 | − | 0.809752i | |||||
−4.11882 | −0.324609 | |||||||||
−0.765730 | − | 6.42147i | −0.0601614 | − | 0.504518i | |||||
10.6488 | − | 4.41088i | 0.834079 | − | 0.345487i | 0.0755629 | − | 0.997141i | ||
0.758516 | + | 0.651654i | ||||||||
−3.68146 | + | 6.03127i | −0.287474 | + | 0.470963i | |||||
−0.143434 | + | 0.346280i | −0.0111663 | + | 0.0269578i | |||||
−5.42309 | − | 9.66378i | −0.420914 | − | 0.750055i | |||||
−2.98677 | − | 2.98677i | −0.231123 | − | 0.231123i | 0.582038 | − | 0.813161i | ||
−0.813161 | + | 0.582038i | ||||||||
15.2110 | + | 0.557647i | 1.17355 | + | 0.0430234i | |||||
2.46094 | − | 2.46094i | 0.189303 | − | 0.189303i | |||||
−16.2145 | − | 4.55765i | −1.24360 | − | 0.349556i | |||||
−2.10725 | − | 0.872852i | −0.161145 | − | 0.0667486i | |||||
−13.0617 | − | 2.04534i | −0.995946 | − | 0.155956i | |||||
7.85054 | + | 18.9529i | 0.596866 | + | 1.44096i | 0.876759 | + | 0.480930i | ||
−0.279894 | + | 0.960031i | ||||||||
−5.66593 | + | 7.20015i | −0.429533 | + | 0.545842i | |||||
− | 6.16528i | − | 0.466052i | |||||||
0.584208 | − | 0.0480365i | 0.0440364 | − | 0.00362089i | |||||
− | 5.19932i | − | 0.390805i | |||||||
6.62955 | + | 5.21692i | 0.496906 | + | 0.391024i | |||||
−9.60549 | − | 23.1897i | −0.717948 | − | 1.73328i | −0.679113 | − | 0.734033i | ||
−0.0388344 | − | 0.999246i | ||||||||
−2.36035 | − | 3.23681i | −0.175930 | − | 0.241258i | |||||
1.87868 | + | 0.778175i | 0.139641 | + | 0.0578413i | 0.451410 | − | 0.892317i | ||
−0.311768 | + | 0.950158i | ||||||||
−4.59050 | + | 16.3314i | −0.340270 | + | 1.21056i | |||||
−3.67362 | + | 3.67362i | −0.271562 | + | 0.271562i | |||||
−1.24735 | + | 2.72451i | −0.0919561 | + | 0.200853i | |||||
5.91245 | + | 5.91245i | 0.434692 | + | 0.434692i | |||||
−2.00000 | + | 1.12235i | −0.146647 | + | 0.0822950i | |||||
0.361465 | − | 0.872654i | 0.0264329 | − | 0.0638148i | |||||
1.25559 | + | 5.18989i | 0.0915736 | + | 0.378512i | |||||
20.3052 | − | 8.41068i | 1.47699 | − | 0.611787i | |||||
5.45956 | − | 0.651026i | 0.396078 | − | 0.0472304i | |||||
9.05902 | 0.655487 | 0.327744 | − | 0.944767i | ||||||
0.327744 | + | 0.944767i | ||||||||
4.97539 | − | 9.89283i | 0.359068 | − | 0.713954i | |||||
6.24707 | 0.449674 | 0.224837 | − | 0.974396i | ||||||
0.224837 | + | 0.974396i | ||||||||
−14.5014 | + | 1.72922i | −1.04114 | + | 0.124151i | |||||
−7.29068 | + | 3.01990i | −0.522096 | + | 0.216259i | |||||
3.81657 | + | 15.7755i | 0.272612 | + | 1.12682i | |||||
−1.81298 | + | 4.37691i | −0.129169 | + | 0.311842i | −0.975212 | − | 0.221273i | ||
0.846043 | + | 0.533115i | ||||||||
0.195918 | − | 0.109945i | 0.0139233 | − | 0.00781343i | |||||
6.14186 | + | 6.14186i | 0.435385 | + | 0.435385i | 0.890455 | − | 0.455071i | ||
−0.455071 | + | 0.890455i | ||||||||
−4.07819 | − | 1.86711i | −0.288372 | − | 0.132024i | |||||
−14.9156 | + | 14.9156i | −1.05206 | + | 1.05206i | |||||
4.31750 | − | 15.3602i | 0.303778 | − | 1.08074i | |||||
−16.8117 | − | 6.96362i | −1.17995 | − | 0.488750i | |||||
−10.5134 | − | 14.4173i | −0.736087 | − | 1.00942i | |||||
−2.49824 | − | 6.03127i | −0.174484 | − | 0.421242i | |||||
−20.9249 | − | 16.4662i | −1.45791 | − | 1.14726i | |||||
1.14843i | 0.0798211i | |||||||||
9.41264 | + | 7.98233i | 0.652649 | + | 0.553475i | |||||
0.308343i | 0.0213285i | |||||||||
−8.69637 | + | 11.0512i | −0.600106 | + | 0.762603i | |||||
5.21588 | + | 12.5923i | 0.359076 | + | 0.866886i | 0.995430 | + | 0.0954895i | ||
−0.636354 | + | 0.771397i | ||||||||
3.52396 | + | 0.551819i | 0.242027 | + | 0.0378991i | |||||
−6.16619 | − | 2.55412i | −0.422500 | − | 0.175005i | |||||
−19.5265 | − | 5.48861i | −1.33481 | − | 0.375194i | |||||
8.63696 | − | 8.63696i | 0.589036 | − | 0.589036i | |||||
0.585786 | − | 15.9785i | 0.0398577 | − | 1.08720i | |||||
−3.22079 | − | 3.22079i | −0.218642 | − | 0.218642i | |||||
8.81685 | + | 15.7114i | 0.597153 | + | 1.06411i | |||||
−0.331374 | + | 0.800008i | −0.0223922 | + | 0.0540595i | |||||
−0.282156 | + | 0.462250i | −0.0190229 | + | 0.0311649i | |||||
18.3731 | − | 7.61040i | 1.23591 | − | 0.511931i | |||||
1.04887 | + | 8.79592i | 0.0703957 | + | 0.590344i | |||||
−0.960579 | −0.0643251 | −0.0321626 | − | 0.999483i | ||||||
−0.0321626 | + | 0.999483i | ||||||||
21.5889 | + | 4.19618i | 1.44247 | + | 0.280369i | |||||
−1.71903 | −0.114602 | |||||||||
0.984815 | + | 8.25873i | 0.0655089 | + | 0.549362i | |||||
14.1698 | − | 5.86932i | 0.940482 | − | 0.389561i | 0.140837 | − | 0.990033i | ||
0.799646 | + | 0.600472i | ||||||||
4.97186 | + | 3.03480i | 0.329270 | + | 0.200985i | |||||
1.80408 | − | 4.35544i | 0.119217 | − | 0.287816i | −0.852994 | − | 0.521920i | ||
0.972211 | + | 0.234105i | ||||||||
−1.35480 | − | 2.41421i | −0.0893330 | − | 0.159189i | |||||
−0.557647 | − | 0.557647i | −0.0366905 | − | 0.0366905i | |||||
−9.69755 | + | 9.01166i | −0.636675 | + | 0.591644i | |||||
−16.7918 | + | 16.7918i | −1.10007 | + | 1.10007i | −0.105663 | + | 0.994402i | ||
−0.994402 | + | 0.105663i | ||||||||
4.55357 | + | 1.27994i | 0.297676 | + | 0.0836723i | |||||
−4.55765 | − | 1.88784i | −0.297308 | − | 0.123149i | |||||
1.16222 | − | 7.42199i | 0.0756538 | − | 0.483131i | |||||
−3.74794 | − | 9.04832i | −0.243455 | − | 0.587751i | |||||
21.9156 | − | 27.8499i | 1.42058 | − | 1.80524i | |||||
15.8414i | 1.02469i | 0.858779 | + | 0.512347i | ||||||
−0.858779 | + | 0.512347i | ||||||||
4.67647 | + | 9.09921i | 0.301865 | + | 0.587351i | |||||
0.313335i | 0.0201837i | 0.999949 | + | 0.0100918i | ||||||
−0.999949 | + | 0.0100918i | ||||||||
12.2012 | + | 9.60136i | 0.784324 | + | 0.617199i | |||||
−4.06774 | − | 9.82038i | −0.260945 | − | 0.629978i | |||||
−6.06524 | + | 4.42290i | −0.388287 | + | 0.283147i | |||||
−13.8537 | − | 5.73838i | −0.885079 | − | 0.366612i | |||||
1.87147 | − | 6.65804i | 0.119321 | − | 0.424501i | |||||
−4.59050 | + | 4.59050i | −0.292086 | + | 0.292086i | |||||
−3.10587 | + | 1.15509i | −0.197223 | + | 0.0733482i | |||||
7.66941 | + | 7.66941i | 0.486029 | + | 0.486029i | |||||
15.0078 | − | 8.42206i | 0.949180 | − | 0.532658i | |||||
−3.55903 | + | 8.59225i | −0.224644 | + | 0.542338i | −0.995510 | − | 0.0946593i | ||
0.770866 | + | 0.636997i | ||||||||
8.19265 | − | 1.98205i | 0.516089 | − | 0.124858i | |||||
0.143434 | − | 0.0594122i | 0.00901760 | − | 0.00373521i | |||||
21.6287 | − | 2.57912i | 1.35711 | − | 0.161829i | |||||
16.4853 | 1.03235 | |||||||||
9.31371 | − | 13.0098i | 0.582107 | − | 0.813112i | |||||
18.9043 | 1.17922 | 0.589609 | − | 0.807689i | ||||||
0.589609 | + | 0.807689i | ||||||||
12.8492 | − | 1.53220i | 0.799954 | − | 0.0953907i | |||||
−16.2540 | + | 6.73263i | −1.00998 | + | 0.418346i | |||||
−11.0824 | + | 2.68118i | −0.687304 | + | 0.166280i | |||||
−1.94162 | + | 4.68749i | −0.120183 | + | 0.290148i | |||||
3.95641 | − | 2.22025i | 0.244428 | − | 0.137167i | |||||
−16.6366 | − | 16.6366i | −1.02585 | − | 1.02585i | −0.999657 | − | 0.0261975i | ||
−0.0261975 | − | 0.999657i | ||||||||
−0.537750 | + | 0.199992i | −0.0330962 | + | 0.0123087i | |||||
−2.33019 | + | 2.33019i | −0.143143 | + | 0.143143i | |||||
−3.13048 | + | 11.1371i | −0.191942 | + | 0.682862i | |||||
−7.62844 | − | 3.15980i | −0.466853 | − | 0.193377i | |||||
−24.6260 | + | 17.9578i | −1.50427 | + | 1.09695i | |||||
−5.01046 | − | 12.0963i | −0.305493 | − | 0.737525i | −0.999840 | − | 0.0178850i | ||
0.694347 | − | 0.719640i | ||||||||
11.6088 | + | 9.13519i | 0.706490 | + | 0.555950i | |||||
28.2141i | 1.71388i | 0.515412 | + | 0.856942i | ||||||
−0.515412 | + | 0.856942i | ||||||||
−11.7851 | − | 22.9308i | −0.714577 | − | 1.39038i | |||||
− | 16.6041i | − | 1.00493i | |||||||
−13.3275 | + | 16.9363i | −0.805144 | + | 1.02316i | |||||
0.0889314 | + | 0.214699i | 0.00536277 | + | 0.0129469i | |||||
0.453728 | − | 2.89754i | 0.0273112 | − | 0.174412i | |||||
−21.8246 | − | 9.04006i | −1.31132 | − | 0.543165i | −0.386047 | − | 0.922479i | ||
−0.925268 | + | 0.379314i | ||||||||
−7.04942 | − | 1.98148i | −0.422796 | − | 0.118841i | |||||
−0.898033 | + | 0.898033i | −0.0537638 | + | 0.0537638i | |||||
−14.8843 | + | 13.8316i | −0.889508 | + | 0.826594i | |||||
3.00666 | + | 3.00666i | 0.179363 | + | 0.179363i | 0.791078 | − | 0.611715i | ||
−0.611715 | + | 0.791078i | ||||||||
−2.55765 | − | 4.55765i | −0.152306 | − | 0.271404i | |||||
0.709521 | − | 1.71293i | 0.0421766 | − | 0.101823i | −0.901387 | − | 0.433014i | ||
0.943564 | + | 0.331190i | ||||||||
−8.23127 | − | 5.02433i | −0.488436 | − | 0.298139i | |||||
−4.97186 | + | 2.05941i | −0.294508 | + | 0.121989i | |||||
−0.0757135 | − | 0.634939i | −0.00447703 | − | 0.0375447i | |||||
13.7359 | 0.810804 | |||||||||
1.16999 | − | 6.01950i | 0.0689426 | − | 0.354703i | |||||
−24.5443 | −1.44378 | |||||||||
−1.44818 | − | 12.1445i | −0.0850401 | − | 0.713153i | |||||
13.2060 | − | 5.47010i | 0.774148 | − | 0.320663i | |||||
−0.651862 | + | 1.06793i | −0.0381474 | + | 0.0624961i | |||||
10.5176 | − | 25.3917i | 0.614444 | − | 1.48340i | −0.243627 | − | 0.969869i | ||
0.858071 | − | 0.513530i | ||||||||
−7.77436 | − | 13.8537i | −0.453410 | − | 0.807963i | |||||
4.90774 | + | 4.90774i | 0.285739 | + | 0.285739i | |||||
−0.468914 | + | 12.7906i | −0.0272551 | + | 0.743438i | |||||
−0.585786 | + | 0.585786i | −0.0339908 | + | 0.0339908i | |||||
−6.37220 | − | 1.79113i | −0.369132 | − | 0.103757i | |||||
3.01990 | + | 1.25088i | 0.174645 | + | 0.0723404i | |||||
4.33720 | + | 0.679166i | 0.250408 | + | 0.0392116i | |||||
9.83509 | + | 23.7440i | 0.566885 | + | 1.36858i | |||||
−16.3685 | + | 20.8007i | −0.941900 | + | 1.19695i | |||||
15.6167i | 0.897154i | |||||||||
6.41893 | + | 5.44353i | 0.368151 | + | 0.312208i | |||||
− | 6.93520i | − | 0.397108i | |||||||
−7.76521 | − | 6.11058i | −0.443907 | − | 0.349319i | |||||
5.80167 | + | 14.0065i | 0.331119 | + | 0.799391i | 0.998504 | + | 0.0546786i | ||
−0.667385 | + | 0.744713i | ||||||||
−0.671386 | − | 0.920690i | −0.0382558 | − | 0.0524612i | |||||
24.0777 | + | 9.97332i | 1.36973 | + | 0.567363i | |||||
0.828427 | − | 2.94725i | 0.0470515 | − | 0.167393i | |||||
7.15481 | − | 7.15481i | 0.405712 | − | 0.405712i | −0.474528 | − | 0.880240i | ||
0.880240 | + | 0.474528i | ||||||||
−10.9832 | − | 5.02842i | −0.621803 | − | 0.284678i | |||||
−11.8512 | − | 11.8512i | −0.669868 | − | 0.669868i | 0.287817 | − | 0.957685i | ||
−0.957685 | + | 0.287817i | ||||||||
21.2956 | − | 11.9506i | 1.20178 | − | 0.674410i | |||||
−2.98010 | + | 7.19460i | −0.167910 | + | 0.405370i | |||||
−3.32756 | − | 13.7542i | −0.187190 | − | 0.773734i | |||||
18.9377 | − | 7.84425i | 1.06365 | − | 0.440577i | 0.218902 | − | 0.975747i | ||
0.844745 | + | 0.535170i | ||||||||
−3.46662 | + | 0.413378i | −0.194398 | + | 0.0231811i | |||||
0.685896 | 0.0384028 | |||||||||
4.64167 | + | 14.0344i | 0.259477 | + | 0.784547i | |||||
19.8526 | 1.10807 | |||||||||
5.78392 | − | 0.689705i | 0.322325 | − | 0.0384358i | |||||
12.5295 | − | 5.18989i | 0.697160 | − | 0.288773i | |||||
2.15058 | + | 8.88922i | 0.119476 | + | 0.493846i | |||||
−1.87239 | + | 4.52035i | −0.103861 | + | 0.250744i | |||||
−14.2151 | + | 7.97721i | −0.787304 | + | 0.441817i | |||||
−12.4689 | − | 12.4689i | −0.689533 | − | 0.689533i | |||||
4.15980 | − | 9.08597i | 0.229687 | − | 0.501689i | |||||
7.33962 | − | 7.33962i | 0.404646 | − | 0.404646i | |||||
0.143434 | − | 0.510287i | 0.00789577 | − | 0.0280904i | |||||
9.91107 | + | 4.10530i | 0.544762 | + | 0.225648i | 0.638055 | − | 0.769991i | ||
−0.0932931 | + | 0.995639i | ||||||||
9.23368 | + | 12.6624i | 0.506764 | + | 0.694940i | |||||
1.87722 | + | 4.53200i | 0.102871 | + | 0.248352i | |||||
4.69435 | + | 3.69407i | 0.256863 | + | 0.202131i | |||||
− | 28.1582i | − | 1.53845i | |||||||
−21.4536 | + | 1.76402i | −1.17039 | + | 0.0962353i | |||||
3.23412i | 0.176174i | 0.996113 | + | 0.0880868i | ||||||
−0.996113 | + | 0.0880868i | ||||||||
−3.04372 | + | 3.86790i | −0.165556 | + | 0.210386i | |||||
−3.11529 | − | 7.52099i | −0.169200 | − | 0.408484i | |||||
23.5326 | + | 3.68499i | 1.27624 | + | 0.199847i | |||||
0.158619 | + | 0.0657022i | 0.00858971 | + | 0.00355797i | |||||
3.10530 | + | 0.872852i | 0.167915 | + | 0.0471984i | |||||
3.06608 | − | 3.06608i | 0.165553 | − | 0.165553i | |||||
18.6846 | + | 0.684993i | 1.00741 | + | 0.0369324i | |||||
1.91598 | + | 1.91598i | 0.103153 | + | 0.103153i | |||||
−14.1979 | − | 25.3003i | −0.763286 | − | 1.36015i | |||||
−9.82705 | + | 23.7246i | −0.527544 | + | 1.27360i | 0.405584 | + | 0.914058i | ||
−0.933128 | + | 0.359545i | ||||||||
6.75079 | − | 11.0597i | 0.361880 | − | 0.592862i | |||||
−12.5762 | + | 5.20925i | −0.673190 | + | 0.278845i | −0.692977 | − | 0.720960i | ||
0.0197868 | + | 0.999804i | ||||||||
1.03239 | + | 8.65769i | 0.0551835 | + | 0.462773i | |||||
−17.4420 | −0.930983 | |||||||||
−0.812340 | + | 0.165283i | −0.0432978 | + | 0.00880961i | |||||
−8.67371 | −0.461655 | −0.230828 | − | 0.972995i | ||||||
−0.230828 | + | 0.972995i | ||||||||
0.870636 | + | 7.30122i | 0.0462738 | + | 0.388055i | |||||
8.23127 | − | 3.40950i | 0.436870 | − | 0.180958i | |||||
−10.1832 | − | 6.21580i | −0.539710 | − | 0.329437i | |||||
−13.2739 | + | 32.0461i | −0.702530 | + | 1.69606i | |||||
17.3718 | + | 30.9560i | 0.918129 | + | 1.63608i | |||||
13.6307 | + | 13.6307i | 0.719399 | + | 0.719399i | 0.968482 | − | 0.249083i | ||
−0.249083 | + | 0.968482i | ||||||||
3.85657 | + | 4.15010i | 0.203259 | + | 0.218729i | |||||
10.3045 | − | 10.3045i | 0.542345 | − | 0.542345i | |||||
−2.76847 | − | 0.778175i | −0.145508 | − | 0.0408999i | |||||
−14.0396 | − | 5.81539i | −0.736888 | − | 0.305229i | |||||
3.71155 | − | 23.7023i | 0.194538 | − | 1.24234i | |||||
−0.442353 | − | 1.06793i | −0.0231538 | − | 0.0558982i | |||||
4.54358 | − | 5.77389i | 0.237497 | − | 0.301806i | |||||
− | 28.9800i | − | 1.51274i | −0.654142 | − | 0.756371i | ||||
0.654142 | − | 0.756371i | ||||||||
1.29539 | − | 4.03480i | 0.0675268 | − | 0.210329i | |||||
− | 3.82989i | − | 0.199376i | |||||||
−9.29270 | − | 7.31259i | −0.483104 | − | 0.380164i | |||||
−2.65344 | − | 6.40597i | −0.137760 | − | 0.332581i | |||||
2.62059 | − | 1.91099i | 0.135871 | − | 0.0990800i | |||||
−5.56367 | − | 2.30455i | −0.288076 | − | 0.119325i | 0.233966 | − | 0.972245i | ||
−0.522042 | + | 0.852920i | ||||||||
−0.361465 | + | 1.28597i | −0.0186909 | + | 0.0664957i | |||||
−11.9106 | + | 11.9106i | −0.615060 | + | 0.615060i | |||||
−2.63224 | − | 7.07773i | −0.135748 | − | 0.365006i | |||||
10.2114 | + | 10.2114i | 0.525912 | + | 0.525912i | |||||
−27.1055 | + | 15.2110i | −1.39416 | + | 0.782368i | |||||
8.55274 | − | 20.6481i | 0.439325 | − | 1.06062i | −0.536858 | − | 0.843673i | ||
0.976183 | − | 0.216951i | ||||||||
−7.55765 | + | 1.82843i | −0.387699 | + | 0.0937963i | |||||
−19.6966 | + | 8.15862i | −1.00909 | + | 0.417979i | |||||
−12.7213 | + | 1.51695i | −0.650876 | + | 0.0776139i | |||||
−30.5667 | −1.56188 | −0.780942 | − | 0.624603i | ||||||
−0.780942 | + | 0.624603i | ||||||||
−5.33019 | + | 14.7253i | −0.272005 | + | 0.751447i | |||||
1.05275 | 0.0536530 | |||||||||
−8.77254 | + | 1.04608i | −0.446511 | + | 0.0532443i | |||||
6.62039 | − | 2.74226i | 0.336533 | − | 0.139397i | |||||
20.0742 | − | 4.85657i | 1.01911 | − | 0.246555i | |||||
−7.06634 | + | 17.0597i | −0.358278 | + | 0.864959i | 0.637265 | + | 0.770645i | ||
−0.995543 | + | 0.0943139i | ||||||||
9.73235 | − | 5.46157i | 0.492817 | − | 0.276558i | |||||
−4.82843 | − | 4.82843i | −0.244184 | − | 0.244184i | |||||
−8.00112 | − | 21.5139i | −0.404117 | − | 1.08661i | |||||
−3.13990 | + | 3.13990i | −0.158387 | + | 0.158387i | |||||
1.81298 | − | 6.44993i | 0.0913365 | − | 0.324943i | |||||
12.0786 | + | 5.00313i | 0.607742 | + | 0.251735i | |||||
−0.256710 | + | 0.187198i | −0.0129002 | + | 0.00940707i | |||||
7.15759 | + | 17.2799i | 0.359229 | + | 0.867255i | 0.995409 | + | 0.0957146i | ||
−0.636180 | + | 0.771541i | ||||||||
−9.65326 | − | 7.59633i | −0.483874 | − | 0.380769i | |||||
− | 11.3231i | − | 0.566866i | |||||||
6.03951 | + | 1.93901i | 0.301976 | + | 0.0969505i | |||||
11.0004i | 0.549332i | 0.961540 | + | 0.274666i | ||||||
−0.961540 | + | 0.274666i | ||||||||
18.4478 | − | 23.4431i | 0.920092 | − | 1.16923i | |||||
1.38331 | + | 3.33962i | 0.0689078 | + | 0.166358i | |||||
−3.49083 | + | 22.2927i | −0.173675 | + | 1.10910i | |||||
−7.80631 | − | 3.23348i | −0.387899 | − | 0.160673i | |||||
24.7741 | + | 6.96362i | 1.22952 | + | 0.345599i | |||||
0.468914 | − | 0.468914i | 0.0232432 | − | 0.0232432i | |||||
17.1778 | + | 18.4853i | 0.850430 | + | 0.915158i | |||||
−1.15862 | − | 1.15862i | −0.0572900 | − | 0.0572900i | 0.677881 | − | 0.735171i | ||
−0.735171 | + | 0.677881i | ||||||||
4.51813 | + | 8.05117i | 0.223135 | + | 0.397619i | |||||
8.07225 | − | 19.4881i | 0.398175 | − | 0.961279i | |||||
32.1415 | + | 19.6190i | 1.58350 | + | 0.966559i | |||||
−13.4919 | + | 5.58855i | −0.663895 | + | 0.274994i | |||||
−0.192306 | − | 1.61269i | −0.00945133 | − | 0.0792596i | |||||
−14.4786 | −0.710727 | |||||||||
−14.5545 | − | 9.63315i | −0.713593 | − | 0.472304i | |||||
7.16714 | 0.350976 | |||||||||
−0.0516326 | − | 0.432995i | −0.00252543 | − | 0.0211785i | |||||
−32.0362 | + | 13.2698i | −1.56507 | + | 0.648273i | −0.985961 | − | 0.166978i | ||
−0.579108 | + | 0.815251i | ||||||||
10.3615 | − | 16.9750i | 0.505588 | − | 0.828295i | |||||
9.34602 | − | 22.5633i | 0.455497 | − | 1.09967i | −0.514705 | − | 0.857368i | ||
0.970202 | − | 0.242299i | ||||||||
−9.43308 | − | 16.8094i | −0.459195 | − | 0.818271i | |||||
−2.04646 | − | 2.04646i | −0.0995022 | − | 0.0995022i | |||||
−5.04098 | − | 0.184807i | −0.244811 | − | 0.00897500i | |||||
7.22746 | − | 7.22746i | 0.350583 | − | 0.350583i | |||||
9.08665 | + | 2.55412i | 0.440250 | + | 0.123747i | |||||
13.4815 | + | 5.58421i | 0.652414 | + | 0.270239i | |||||
28.3395 | + | 4.43771i | 1.36984 | + | 0.214505i | |||||
0.239507 | + | 0.578221i | 0.0115635 | + | 0.0279168i | |||||
−10.6823 | + | 13.5749i | −0.515146 | + | 0.654637i | |||||
4.47586i | 0.215594i | 0.994173 | + | 0.107797i | ||||||
−0.994173 | + | 0.107797i | ||||||||
1.85304 | + | 22.5362i | 0.0891543 | + | 1.08427i | |||||
1.44196i | 0.0692960i | 0.999400 | + | 0.0346480i | ||||||
−0.999400 | + | 0.0346480i | ||||||||
5.06217 | + | 3.98352i | 0.242992 | + | 0.191215i | |||||
4.58107 | + | 11.0597i | 0.219646 | + | 0.530272i | |||||
−15.0121 | − | 20.5865i | −0.718949 | − | 0.985915i | |||||
2.05941 | + | 0.853036i | 0.0985150 | + | 0.0408063i | |||||
0.331374 | − | 1.17891i | 0.0158337 | − | 0.0563306i | |||||
0.854615 | − | 0.854615i | 0.0407885 | − | 0.0407885i | −0.686418 | − | 0.727207i | ||
0.727207 | + | 0.686418i | ||||||||
0.318816 | − | 0.696369i | 0.0151990 | − | 0.0331981i | |||||
−6.22053 | − | 6.22053i | −0.296216 | − | 0.296216i | |||||
−24.5264 | + | 13.7636i | −1.16660 | + | 0.654669i | |||||
4.68913 | − | 11.3206i | 0.222787 | − | 0.537857i | −0.772479 | − | 0.635040i | ||
0.995266 | + | 0.0971838i | ||||||||
−2.94579 | − | 12.1762i | −0.139801 | − | 0.577855i | |||||
10.1832 | − | 4.21803i | 0.482731 | − | 0.199954i | |||||
1.34891 | − | 0.160851i | 0.0638726 | − | 0.00761651i | |||||
6.47862 | 0.306428 | |||||||||
−31.0192 | − | 2.27744i | −1.46552 | − | 0.107599i | |||||
−24.5573 | −1.15893 | −0.579464 | − | 0.814998i | ||||||
−0.579464 | + | 0.814998i | ||||||||
2.41397 | − | 0.287854i | 0.113796 | − | 0.0135696i | |||||
−0.478338 | + | 0.198134i | −0.0225240 | + | 0.00932976i | |||||
−2.76588 | − | 11.4325i | −0.130096 | − | 0.537741i | |||||
9.91412 | − | 23.9348i | 0.465806 | − | 1.12456i | |||||
−18.9153 | + | 10.6148i | −0.887740 | + | 0.498179i | |||||
15.6729 | + | 15.6729i | 0.734759 | + | 0.734759i | |||||
−7.48999 | − | 3.42912i | −0.350751 | − | 0.160583i | |||||
14.1684 | − | 14.1684i | 0.662771 | − | 0.662771i | −0.293262 | − | 0.956032i | ||
0.956032 | + | 0.293262i | ||||||||
−1.80408 | + | 6.41829i | −0.0842992 | + | 0.299907i | |||||
33.6631 | + | 13.9437i | 1.57126 | + | 0.650837i | |||||
2.30676 | + | 3.16333i | 0.107553 | + | 0.147491i | |||||
−11.7965 | − | 28.4793i | −0.549417 | − | 1.32641i | −0.917913 | − | 0.396782i | ||
0.368496 | − | 0.929630i | ||||||||
0.876464 | + | 0.689705i | 0.0407768 | + | 0.0320880i | |||||
14.8190i | 0.688697i | 0.938842 | + | 0.344349i | ||||||
−0.938842 | + | 0.344349i | ||||||||
12.1089 | − | 14.2786i | 0.562142 | − | 0.662869i | |||||
2.99647i | 0.138958i | |||||||||
20.7683 | − | 26.3919i | 0.962072 | − | 1.22258i | |||||
5.43521 | + | 13.1218i | 0.251512 | + | 0.607203i | 0.998326 | − | 0.0578293i | ||
−0.746815 | + | 0.665032i | ||||||||
−6.60875 | − | 1.03487i | −0.305490 | − | 0.0478368i | |||||
54.7373 | + | 22.6729i | 2.52753 | + | 1.04694i | |||||
6.71627 | + | 1.88784i | 0.309798 | + | 0.0870795i | |||||
−16.9007 | + | 16.9007i | −0.778742 | + | 0.778742i | |||||
−0.389231 | + | 10.6171i | −0.0179158 | + | 0.488690i | |||||
−0.684993 | − | 0.684993i | −0.0314960 | − | 0.0314960i | |||||
6.77825 | + | 12.0786i | 0.311335 | + | 0.554790i | |||||
−1.27687 | + | 3.08264i | −0.0585869 | + | 0.141441i | |||||
−26.1118 | + | 42.7784i | −1.19683 | + | 1.96075i | |||||
−1.78614 | + | 0.739842i | −0.0817816 | + | 0.0338750i | |||||
−2.65267 | − | 22.2455i | −0.121330 | − | 1.01749i | |||||
32.3727 | 1.47915 | 0.739574 | − | 0.673076i | ||||||
0.739574 | + | 0.673076i | ||||||||
−8.09069 | − | 11.9946i | −0.369288 | − | 0.547477i | |||||
13.9620 | 0.636614 | |||||||||
−0.0524685 | − | 0.440005i | −0.00238988 | − | 0.0200417i | |||||
−5.26725 | + | 2.18177i | −0.239668 | + | 0.0992738i | |||||
−18.7415 | − | 11.4397i | −0.851887 | − | 0.519988i | |||||
−7.30205 | + | 17.6287i | −0.331569 | + | 0.800479i | |||||
7.35662 | + | 13.1093i | 0.333703 | + | 0.594649i | |||||
−1.89478 | − | 1.89478i | −0.0858608 | − | 0.0858608i | 0.662872 | − | 0.748733i | ||
−0.748733 | + | 0.662872i | ||||||||
7.77658 | − | 7.22655i | 0.352029 | − | 0.327131i | |||||
11.2815 | − | 11.2815i | 0.510166 | − | 0.510166i | |||||
20.4151 | + | 5.73838i | 0.922262 | + | 0.259234i | |||||
−18.2886 | − | 7.57539i | −0.825354 | − | 0.341873i | −0.0702922 | − | 0.997526i | ||
−0.755062 | + | 0.655654i | ||||||||
−1.51314 | + | 9.66303i | −0.0682176 | + | 0.435643i | |||||
−11.5447 | − | 27.8714i | −0.519947 | − | 1.25526i | |||||
5.67759 | − | 7.21496i | 0.255447 | − | 0.324617i | |||||
− | 0.293531i | − | 0.0131932i | |||||||
4.16804 | − | 2.14214i | 0.187151 | − | 0.0961847i | |||||
18.7462i | 0.840884i | |||||||||
−12.0541 | − | 9.48563i | −0.540159 | − | 0.425061i | |||||
−9.54921 | − | 23.0538i | −0.427481 | − | 1.03203i | −0.980083 | − | 0.198586i | ||
0.552602 | − | 0.833445i | ||||||||
−19.6647 | + | 14.3399i | −0.879432 | + | 0.641300i | |||||
−5.40166 | − | 2.23744i | −0.241328 | − | 0.0999614i | |||||
3.55903 | − | 12.6618i | 0.158847 | − | 0.565122i | |||||
22.6436 | − | 22.6436i | 1.00963 | − | 1.00963i | 0.00967595 | − | 0.999953i | ||
0.999953 | − | 0.00967595i | ||||||||
−11.1728 | + | 4.15521i | −0.497674 | + | 0.185088i | |||||
−14.7409 | − | 14.7409i | −0.655960 | − | 0.655960i | |||||
−0.191470 | + | 0.107449i | −0.00851189 | + | 0.00477668i | |||||
1.84353 | − | 4.45068i | 0.0818741 | − | 0.197661i | |||||
−29.9406 | + | 7.24354i | −1.32840 | + | 0.321380i | |||||
−21.3715 | + | 8.85238i | −0.947276 | + | 0.392375i | −0.802206 | − | 0.597047i | ||
−0.145070 | + | 0.989421i | ||||||||
−23.1497 | + | 2.76049i | −1.02509 | + | 0.122237i | |||||
2.43216 | 0.107592 | |||||||||
−10.9004 | + | 19.8288i | −0.481734 | + | 0.876317i | |||||
−11.8945 | −0.525155 | |||||||||
−26.5466 | + | 3.16556i | −1.17092 | + | 0.139627i | |||||
−32.1415 | + | 13.3134i | −1.41632 | + | 0.586660i | |||||
−17.7871 | + | 4.30324i | −0.783031 | + | 0.189439i | |||||
−0.149724 | + | 0.361465i | −0.00658484 | + | 0.0158972i | |||||
21.6976 | − | 12.1762i | 0.953336 | − | 0.534990i | |||||
20.0789 | + | 20.0789i | 0.881366 | + | 0.881366i | |||||
15.1137 | − | 5.62087i | 0.662780 | − | 0.246491i | |||||
−9.76588 | + | 9.76588i | −0.427851 | + | 0.427851i | −0.887896 | − | 0.460045i | ||
0.460045 | + | 0.887896i | ||||||||
1.94162 | − | 6.90761i | 0.0849825 | − | 0.302338i | |||||
−16.9370 | − | 7.01552i | −0.740601 | − | 0.306767i | −0.0197010 | − | 0.999806i | ||
−0.720900 | + | 0.693039i | ||||||||
−5.18406 | + | 3.78032i | −0.226467 | + | 0.165144i | |||||
−3.26579 | − | 7.88431i | −0.142531 | − | 0.344099i | |||||
26.1480 | + | 20.5763i | 1.14011 | + | 0.897170i | |||||
− | 7.55136i | − | 0.328942i | |||||||
0.721654 | − | 0.370889i | 0.0314060 | − | 0.0161409i | |||||
21.8776i | 0.951202i | |||||||||
2.88201 | − | 3.66240i | 0.125187 | − | 0.159085i | |||||
1.55822 | + | 3.76187i | 0.0676209 | + | 0.163251i | |||||
2.53109 | − | 16.1637i | 0.109737 | − | 0.700785i | |||||
−10.0711 | − | 4.17157i | −0.436226 | − | 0.180691i | |||||
11.2415 | + | 3.15980i | 0.486465 | + | 0.136738i | |||||
−18.7393 | + | 18.7393i | −0.810170 | + | 0.810170i | |||||
31.5744 | − | 29.3412i | 1.36381 | − | 1.26735i | |||||
−24.5674 | − | 24.5674i | −1.06016 | − | 1.06016i | |||||
9.06156 | + | 16.1474i | 0.390672 | + | 0.696165i | |||||
−0.455108 | + | 1.09873i | −0.0196029 | + | 0.0473256i | |||||
−17.8316 | − | 10.8843i | −0.767348 | − | 0.468386i | |||||
14.2214 | − | 5.89071i | 0.611427 | − | 0.253261i | −0.0554115 | − | 0.998464i | ||
0.666839 | + | 0.745202i | ||||||||
−4.72451 | − | 39.6201i | −0.202935 | − | 1.70183i | |||||
2.81470 | 0.120791 | |||||||||
20.3892 | + | 30.2274i | 0.874180 | + | 1.29599i | |||||
23.5393 | 1.00831 | |||||||||
2.78039 | + | 23.3166i | 0.118990 | + | 0.997857i | |||||
−9.67342 | + | 4.00686i | −0.413606 | + | 0.171321i | −0.579776 | − | 0.814776i | ||
0.166170 | + | 0.986097i | ||||||||
15.8793 | − | 26.0148i | 0.678331 | − | 1.11130i | |||||
1.55701 | − | 3.75895i | 0.0664515 | − | 0.160428i | |||||
−0.160835 | − | 0.286603i | −0.00685803 | − | 0.0122208i | |||||
6.96362 | + | 6.96362i | 0.296660 | + | 0.296660i | |||||
−0.151955 | + | 4.14490i | −0.00646765 | + | 0.176418i | |||||
−19.4514 | + | 19.4514i | −0.827157 | + | 0.827157i | |||||
32.1613 | + | 9.04006i | 1.36640 | + | 0.384075i | |||||
10.6928 | + | 4.42912i | 0.453886 | + | 0.188006i | |||||
10.2311 | + | 1.60209i | 0.433893 | + | 0.0679437i | |||||
−3.08965 | − | 7.45908i | −0.130913 | − | 0.316051i | 0.844808 | − | 0.535070i | ||
−0.975721 | + | 0.219018i | ||||||||
1.11070 | − | 1.41145i | 0.0470196 | − | 0.0597516i | |||||
− | 20.3959i | − | 0.862653i | |||||||
18.5854 | − | 21.9156i | 0.785376 | − | 0.926102i | |||||
− | 1.30744i | − | 0.0552002i | |||||||
−4.72562 | − | 3.71868i | −0.199338 | − | 0.156863i | |||||
10.1815 | + | 24.5802i | 0.429097 | + | 1.03593i | 0.979574 | + | 0.201082i | ||
−0.550477 | + | 0.834850i | ||||||||
4.35480 | + | 5.97186i | 0.183370 | + | 0.251461i | |||||
10.0398 | + | 4.15862i | 0.422377 | + | 0.174954i | |||||
−0.709521 | + | 2.52422i | −0.0298234 | + | 0.106101i | |||||
12.5713 | − | 12.5713i | 0.527943 | − | 0.527943i | |||||
12.4002 | + | 5.67715i | 0.520301 | + | 0.238208i | |||||
8.12862 | + | 8.12862i | 0.340770 | + | 0.340770i | 0.856657 | − | 0.515887i | ||
−0.515887 | + | 0.856657i | ||||||||
6.63696 | − | 3.72451i | 0.277992 | − | 0.156002i | |||||
−7.40930 | + | 17.8876i | −0.310070 | + | 0.748574i | 0.689632 | + | 0.724160i | ||
−0.999702 | + | 0.0244147i | ||||||||
0.212644 | + | 0.878944i | 0.00889107 | + | 0.0367505i | |||||
11.5849 | − | 4.79862i | 0.483965 | − | 0.200465i | |||||
−19.2888 | + | 2.30010i | −0.805100 | + | 0.0960044i | |||||
1.68000 | 0.0700609 | |||||||||
−0.635005 | + | 8.64889i | −0.0264585 | + | 0.360371i | |||||
−11.9134 | −0.495959 | −0.247980 | − | 0.968765i | ||||||
−0.247980 | + | 0.968765i | ||||||||
34.4667 | − | 4.10999i | 1.43363 | − | 0.170953i | |||||
7.98890 | − | 3.30911i | 0.332008 | − | 0.137522i | |||||
4.06726 | + | 16.8117i | 0.168884 | + | 0.698066i | |||||
11.6582 | − | 28.1453i | 0.483662 | − | 1.16766i | |||||
−17.6287 | + | 9.89283i | −0.730734 | + | 0.410071i | |||||
0.184807 | + | 0.184807i | 0.00765391 | + | 0.00765391i | |||||
0.736560 | − | 1.60882i | 0.0304791 | − | 0.0665734i | |||||
4.36999 | − | 4.36999i | 0.180677 | − | 0.180677i | |||||
−10.5176 | + | 37.4179i | −0.434478 | + | 1.54572i | |||||
−23.6011 | − | 9.77588i | −0.974120 | − | 0.403494i | −0.161876 | − | 0.986811i | ||
−0.812244 | + | 0.583318i | ||||||||
13.2371 | + | 18.1524i | 0.545889 | + | 0.748592i | |||||
0.943348 | + | 2.27744i | 0.0388700 | + | 0.0938404i | |||||
−7.71357 | − | 6.06995i | −0.317563 | − | 0.249896i | |||||
6.55765i | 0.269746i | |||||||||
−1.48333 | − | 18.0399i | −0.0609645 | − | 0.741435i | |||||
12.5549i | 0.515567i | 0.966203 | + | 0.257784i | ||||||
−0.966203 | + | 0.257784i | ||||||||
0.724508 | − | 0.920690i | 0.0297269 | − | 0.0377764i | |||||
−17.7194 | − | 42.7784i | −0.726425 | − | 1.75374i | |||||
9.24819 | + | 1.44818i | 0.378821 | + | 0.0593198i | |||||
11.1077 | + | 4.60097i | 0.454609 | + | 0.188305i | |||||
−4.45020 | − | 1.25088i | −0.181982 | − | 0.0511524i | |||||
−6.66010 | + | 6.66010i | −0.272124 | + | 0.272124i | −0.829955 | − | 0.557830i | ||
0.557830 | + | 0.829955i | ||||||||
−6.20431 | − | 0.227455i | −0.253290 | − | 0.00928582i | |||||
27.4318 | + | 27.4318i | 1.11896 | + | 1.11896i | 0.991894 | + | 0.127071i | ||
0.127071 | + | 0.991894i | ||||||||
−17.7871 | − | 31.6960i | −0.724946 | − | 1.29183i | |||||
6.32175 | − | 15.2621i | 0.257442 | − | 0.621519i | |||||
19.5026 | − | 31.9507i | 0.793548 | − | 1.30005i | |||||
18.7415 | − | 7.76299i | 0.761951 | − | 0.315610i | |||||
−2.61504 | − | 21.9299i | −0.106229 | − | 0.890843i | |||||
−20.3361 | −0.825416 | −0.412708 | − | 0.910863i | ||||||
−0.412708 | + | 0.910863i | ||||||||
−9.92540 | − | 6.56930i | −0.402528 | − | 0.266420i | |||||
−25.1878 | −1.02066 | |||||||||
1.16131 | + | 9.73886i | 0.0470202 | + | 0.394315i | |||||
−7.61040 | + | 3.15233i | −0.307884 | + | 0.127530i | |||||
11.9276 | + | 7.28058i | 0.482146 | + | 0.294300i | |||||
−13.3277 | + | 32.1759i | −0.538301 | + | 1.29957i | 0.387608 | + | 0.921824i | ||
−0.925908 | + | 0.377748i | ||||||||
−10.4925 | − | 18.6973i | −0.423442 | − | 0.754561i | |||||
−6.38960 | − | 6.38960i | −0.257654 | − | 0.257654i | |||||
1.09698 | + | 1.18047i | 0.0441984 | + | 0.0475624i | |||||
−11.3168 | + | 11.3168i | −0.455599 | + | 0.455599i | −0.897208 | − | 0.441609i | ||
0.441609 | + | 0.897208i | ||||||||
−35.4816 | − | 9.97332i | −1.42728 | − | 0.401186i | |||||
−0.224799 | − | 0.0931149i | −0.00903545 | − | 0.00374260i | 0.378161 | − | 0.925740i | ||
−0.387197 | + | 0.921997i | ||||||||
−0.669808 | + | 4.27744i | −0.0269001 | + | 0.171786i | |||||
2.29186 | + | 5.53304i | 0.0919691 | + | 0.222033i | |||||
−8.84916 | + | 11.2453i | −0.354819 | + | 0.450897i | |||||
23.1917i | 0.929157i | |||||||||
16.2654 | + | 5.22207i | 0.651137 | + | 0.209050i | |||||
− | 14.5563i | − | 0.582254i | |||||||
18.6267 | + | 14.6577i | 0.744473 | + | 0.585839i | |||||
0.163331 | + | 0.394316i | 0.00652282 | + | 0.0157475i | |||||
−27.9035 | + | 20.3478i | −1.11347 | + | 0.811964i | |||||
−26.9469 | − | 11.1618i | −1.07444 | − | 0.445048i | |||||
2.98010 | − | 10.6022i | 0.118730 | − | 0.422400i | |||||
1.15481 | − | 1.15481i | 0.0459722 | − | 0.0459722i | −0.683747 | − | 0.729719i | ||
0.729719 | + | 0.683747i | ||||||||
6.97595 | + | 18.7573i | 0.277488 | + | 0.746127i | |||||
13.3404 | + | 13.3404i | 0.530233 | + | 0.530233i | |||||
−25.2800 | + | 14.1866i | −1.00400 | + | 0.563420i | |||||
10.8910 | − | 26.2931i | 0.432195 | − | 1.04341i | |||||
4.79883 | − | 1.16098i | 0.190286 | − | 0.0460360i | |||||
−23.1330 | + | 9.58199i | −0.916562 | + | 0.379652i | |||||
−0.963179 | + | 0.114855i | −0.0381326 | + | 0.00454714i | |||||
5.22690 | 0.206773 | |||||||||
−8.86822 | − | 18.9308i | −0.350547 | − | 0.748304i | |||||
−14.1953 | −0.560679 | −0.280339 | − | 0.959901i | ||||||
−0.280339 | + | 0.959901i | ||||||||
−27.8784 | + | 3.32436i | −1.10027 | + | 0.131202i | |||||
33.9334 | − | 14.0557i | 1.33820 | − | 0.554302i | 0.405219 | − | 0.914219i | ||
0.932984 | + | 0.359917i | ||||||||
−8.00666 | + | 1.93706i | −0.315507 | + | 0.0763308i | |||||
6.47010 | − | 15.6202i | 0.254760 | − | 0.615045i | |||||
−16.7257 | + | 9.38607i | −0.658063 | + | 0.369290i | |||||
8.73969 | + | 8.73969i | 0.343593 | + | 0.343593i | 0.857716 | − | 0.514123i | ||
−0.514123 | + | 0.857716i | ||||||||
−4.50849 | − | 12.1227i | −0.177110 | − | 0.476225i | |||||
0.389231 | − | 0.389231i | 0.0152786 | − | 0.0152786i | |||||
1.87239 | − | 6.66130i | 0.0734412 | − | 0.261278i | |||||
−5.82490 | − | 2.41275i | −0.228296 | − | 0.0945632i | |||||
18.6260 | − | 13.5825i | 0.729451 | − | 0.531931i | |||||
16.1182 | + | 38.9127i | 0.630753 | + | 1.52277i | 0.838679 | + | 0.544627i | ||
−0.207926 | + | 0.978145i | ||||||||
19.5976 | + | 15.4217i | 0.766327 | + | 0.603037i | |||||
− | 5.92763i | − | 0.231612i | |||||||
−4.32000 | + | 13.4557i | −0.168668 | + | 0.525356i | |||||
− | 0.678143i | − | 0.0264569i | |||||||
−9.07773 | + | 11.5358i | −0.353887 | + | 0.449712i | |||||
−8.93958 | − | 21.5821i | −0.348237 | − | 0.840718i | −0.996828 | − | 0.0795812i | ||
0.648592 | − | 0.761136i | ||||||||
−0.115970 | + | 0.740596i | −0.00451414 | + | 0.0288277i | |||||
−22.0088 | − | 9.11633i | −0.856042 | − | 0.354584i | −0.0888835 | − | 0.996042i | ||
−0.767158 | + | 0.641458i | ||||||||
−14.6052 | − | 4.10530i | −0.567647 | − | 0.159557i | |||||
19.4647 | − | 19.4647i | 0.755947 | − | 0.755947i | |||||
−15.0869 | − | 16.2352i | −0.585484 | − | 0.630047i | |||||
10.6881 | + | 10.6881i | 0.414468 | + | 0.414468i | |||||
−3.39500 | − | 6.04979i | −0.131554 | − | 0.234425i | |||||
1.89754 | − | 4.58107i | 0.0734732 | − | 0.177380i | |||||
−7.21069 | − | 4.40138i | −0.278990 | − | 0.170294i | |||||
−1.22841 | + | 0.508825i | −0.0474931 | + | 0.0196723i | |||||
4.71515 | + | 39.5416i | 0.182162 | + | 1.52763i | |||||
−0.550028 | −0.0212336 | |||||||||
29.8312 | − | 6.06961i | 1.15076 | − | 0.234140i | |||||
45.0980 | 1.73840 | 0.869200 | − | 0.494460i | ||||||
0.869200 | + | 0.494460i | ||||||||
−0.541560 | − | 4.54156i | −0.0208601 | − | 0.174934i | |||||
−8.28216 | + | 3.43058i | −0.318780 | + | 0.132043i | |||||
3.62650 | − | 5.94123i | 0.139481 | − | 0.228509i | |||||
13.6058 | − | 32.8474i | 0.522915 | − | 1.26243i | −0.413170 | − | 0.910654i | ||
0.936085 | − | 0.351774i | ||||||||
5.63410 | + | 10.0398i | 0.216376 | + | 0.385576i | |||||
−28.3892 | − | 28.3892i | −1.08948 | − | 1.08948i | |||||
−33.6631 | − | 1.23412i | −1.29092 | − | 0.0473263i | |||||
15.0117 | − | 15.0117i | 0.575248 | − | 0.575248i | |||||
−0.233745 | − | 0.0657022i | −0.00895057 | − | 0.00251587i | |||||
18.8141 | + | 7.79305i | 0.719901 | + | 0.298193i | 0.712395 | − | 0.701779i | ||
0.00750651 | + | 0.999972i | ||||||||
−4.50682 | − | 0.705727i | −0.172323 | − | 0.0269841i | |||||
10.7757 | + | 26.0148i | 0.411718 | + | 0.993974i | |||||
−3.79216 | + | 4.81900i | −0.144785 | + | 0.183990i | |||||
− | 6.52547i | − | 0.248962i | |||||||
−26.3528 | + | 2.16686i | −1.00469 | + | 0.0826108i | |||||
5.50267i | 0.209635i | |||||||||
−3.01138 | − | 2.36971i | −0.114641 | − | 0.0902132i | |||||
12.6322 | + | 30.4967i | 0.480550 | + | 1.16015i | 0.959348 | + | 0.282226i | ||
−0.478798 | + | 0.877925i | ||||||||
24.1742 | + | 33.1508i | 0.918967 | + | 1.26020i | |||||
0.570601 | + | 0.236351i | 0.0216753 | + | 0.00897822i | |||||
9.82705 | − | 34.9612i | 0.373030 | − | 1.32711i | |||||
−6.76521 | + | 6.76521i | −0.256619 | + | 0.256619i | |||||
−7.62793 | + | 16.6612i | −0.289136 | + | 0.631540i | |||||
16.1023 | + | 16.1023i | 0.609920 | + | 0.609920i | |||||
16.7881 | − | 9.42108i | 0.635437 | − | 0.356593i | |||||
−12.5790 | + | 30.3684i | −0.475782 | + | 1.14864i | |||||
−2.89949 | − | 11.9848i | −0.109591 | − | 0.452983i | |||||
0.915341 | − | 0.379146i | 0.0345719 | − | 0.0143202i | −0.365330 | − | 0.930878i | ||
0.399902 | + | 0.916558i | ||||||||
24.4931 | − | 2.92069i | 0.924434 | − | 0.110234i | |||||
9.52138 | 0.359106 | |||||||||
1.11306 | − | 0.368129i | 0.0419501 | − | 0.0138744i | |||||
−6.82843 | −0.257173 | |||||||||
12.1802 | − | 1.45243i | 0.458407 | − | 0.0546629i | |||||
40.5244 | − | 16.7858i | 1.52408 | − | 0.631293i | |||||
−2.44521 | − | 10.1071i | −0.0918965 | − | 0.379846i | |||||
−18.9677 | + | 45.7920i | −0.712346 | + | 1.71975i | −0.0182911 | + | 0.999833i | ||
−0.694055 | + | 0.719922i | ||||||||
−10.9879 | + | 6.16619i | −0.412370 | + | 0.231413i | |||||
5.42350 | + | 5.42350i | 0.203397 | + | 0.203397i | |||||
15.3408 | + | 7.02343i | 0.574921 | + | 0.263214i | |||||
0.877646 | − | 0.877646i | 0.0328681 | − | 0.0328681i | |||||
13.2739 | − | 47.2239i | 0.496764 | − | 1.76731i | |||||
−0.771869 | − | 0.319719i | −0.0288663 | − | 0.0119568i | |||||
−29.5783 | − | 40.5615i | −1.10539 | − | 1.51585i | |||||
8.39128 | + | 20.2583i | 0.313378 | + | 0.756561i | |||||
−21.4235 | − | 16.8586i | −0.799520 | − | 0.629157i | |||||
− | 12.7931i | − | 0.477102i | −0.971130 | − | 0.238551i | ||||
0.971130 | − | 0.238551i | ||||||||
−6.11058 | − | 5.18205i | −0.227728 | − | 0.193123i | |||||
− | 73.2004i | − | 2.72612i | |||||||
−12.7448 | + | 16.1958i | −0.474312 | + | 0.602746i | |||||
0.165975 | + | 0.400700i | 0.00617269 | + | 0.0149022i | |||||
4.01797 | + | 0.629177i | 0.149327 | + | 0.0233832i | |||||
6.85720 | + | 2.84035i | 0.254670 | + | 0.105488i | |||||
20.6891 | + | 5.81539i | 0.767845 | + | 0.215829i | |||||
−0.466154 | + | 0.466154i | −0.0172887 | + | 0.0172887i | −0.715698 | − | 0.698410i | ||
0.698410 | + | 0.715698i | ||||||||
−1.24301 | + | 33.9058i | −0.0460692 | + | 1.25663i | |||||
−20.1043 | − | 20.1043i | −0.744603 | − | 0.744603i | |||||
0.800008 | + | 1.42559i | 0.0296096 | + | 0.0527634i | |||||
−16.3052 | + | 39.3642i | −0.603069 | + | 1.45594i | |||||
−5.41354 | + | 8.86890i | −0.200090 | + | 0.327804i | |||||
34.0271 | − | 14.0945i | 1.25682 | − | 0.520591i | 0.347887 | − | 0.937536i | ||
0.908932 | + | 0.416945i | ||||||||
4.85276 | + | 40.6956i | 0.179119 | + | 1.50210i | |||||
−20.7561 | −0.765599 | |||||||||
−1.14343 | + | 5.88285i | −0.0421475 | + | 0.216845i | |||||
−2.23322 | −0.0822616 | |||||||||
0.641323 | + | 5.37818i | 0.0236074 | + | 0.197974i | |||||
8.25825 | − | 3.42068i | 0.303785 | − | 0.125832i | −0.225584 | − | 0.974224i | ||
0.529368 | + | 0.848392i | ||||||||
14.2739 | + | 8.71274i | 0.524720 | + | 0.320287i | |||||
−3.43882 | + | 8.30205i | −0.126328 | + | 0.304984i | |||||
4.79883 | + | 8.55136i | 0.176170 | + | 0.313930i | |||||
−32.4060 | − | 32.4060i | −1.18886 | − | 1.18886i | −0.977383 | − | 0.211477i | ||
−0.211477 | − | 0.977383i | ||||||||
−3.36000 | + | 3.12235i | −0.123184 | + | 0.114471i | |||||
−6.11529 | + | 6.11529i | −0.224047 | + | 0.224047i | |||||
8.19877 | + | 2.30455i | 0.300178 | + | 0.0843755i | |||||
−7.84757 | − | 3.25057i | −0.287127 | − | 0.118932i | |||||
0.292255 | − | 1.86636i | 0.0106859 | − | 0.0682410i | |||||
−21.3388 | − | 51.5165i | −0.779704 | − | 1.88237i | |||||
14.7312 | − | 18.7201i | 0.537906 | − | 0.683561i | |||||
21.5108i | 0.784939i | 0.919765 | + | 0.392470i | ||||||
−0.919765 | + | 0.392470i | ||||||||
4.88155 | + | 9.49824i | 0.178012 | + | 0.346365i | |||||
12.8732i | 0.469126i | |||||||||
−16.0494 | − | 12.6296i | −0.584484 | − | 0.459941i | |||||
13.2344 | + | 31.9507i | 0.481649 | + | 1.16280i | |||||
35.5162 | − | 25.8991i | 1.29171 | − | 0.941941i | |||||
−17.3649 | − | 7.19276i | −0.631137 | − | 0.261425i | 0.0440993 | − | 0.999027i | ||
−0.675236 | + | 0.737602i | ||||||||
−8.55274 | + | 30.4276i | −0.310649 | + | 1.10518i | |||||
0.151955 | − | 0.151955i | 0.00551563 | − | 0.00551563i | |||||
10.3068 | − | 3.83314i | 0.373866 | − | 0.139043i | |||||
−37.8574 | − | 37.8574i | −1.37233 | − | 1.37233i | −0.856977 | − | 0.515354i | ||
−0.515354 | − | 0.856977i | ||||||||
26.2931 | − | 14.7551i | 0.952500 | − | 0.534521i | |||||
−18.9538 | + | 45.7585i | −0.686174 | + | 1.65657i | |||||
17.6100 | − | 4.26040i | 0.637107 | − | 0.154136i | |||||
−11.9276 | + | 4.94059i | −0.431245 | + | 0.178627i | |||||
42.9237 | − | 5.11845i | 1.55090 | − | 0.184937i | |||||
11.5894 | 0.418471 | |||||||||
5.01922 | − | 21.5708i | 0.181116 | − | 0.778368i | |||||
3.07370 | 0.110840 | 0.0554201 | − | 0.998463i | ||||||
0.0554201 | + | 0.998463i | ||||||||
−1.47834 | + | 0.176285i | −0.0532756 | + | 0.00635286i | |||||
24.1753 | − | 10.0137i | 0.870651 | − | 0.360635i | |||||
12.1438 | − | 2.93796i | 0.437065 | − | 0.105740i | |||||
−6.55831 | + | 15.8332i | −0.235886 | + | 0.569479i | −0.996850 | − | 0.0793155i | ||
0.760964 | + | 0.648795i | ||||||||
−8.83759 | + | 4.95945i | −0.317660 | + | 0.178264i | |||||
1.31371 | + | 1.31371i | 0.0471898 | + | 0.0471898i | |||||
−27.3763 | + | 10.1814i | −0.982750 | + | 0.365490i | |||||
−17.2197 | + | 17.2197i | −0.617753 | + | 0.617753i | |||||
7.06634 | − | 25.1395i | 0.253341 | − | 0.901296i | |||||
−6.86794 | − | 2.84479i | −0.246070 | − | 0.101925i | |||||
−12.7523 | + | 9.29920i | −0.456604 | + | 0.332965i | |||||
−0.270406 | − | 0.652818i | −0.00967589 | − | 0.0233597i | |||||
7.58892 | + | 5.97186i | 0.271379 | + | 0.213553i | |||||
26.4588i | 0.945561i | |||||||||
14.8382 | + | 28.8714i | 0.529937 | + | 1.03112i | |||||
− | 31.9058i | − | 1.13877i | |||||||
3.88347 | − | 4.93504i | 0.138519 | − | 0.176027i | |||||
−6.77706 | − | 16.3613i | −0.241576 | − | 0.583216i | 0.755864 | − | 0.654729i | ||
−0.997440 | + | 0.0715129i | ||||||||
−1.46585 | + | 9.36100i | −0.0522186 | + | 0.333472i | |||||
−30.0877 | − | 12.4627i | −1.07115 | − | 0.443685i | |||||
−17.7994 | − | 5.00313i | −0.633274 | − | 0.178004i | |||||
−16.1680 | + | 16.1680i | −0.574869 | + | 0.574869i | |||||
0.329142 | − | 0.305863i | 0.0116956 | − | 0.0108684i | |||||
−8.18862 | − | 8.18862i | −0.290786 | − | 0.290786i | |||||
−12.9447 | − | 23.0671i | −0.459390 | − | 0.818619i | |||||
−1.74559 | + | 4.21422i | −0.0619096 | + | 0.149463i | |||||
14.8278 | + | 9.05080i | 0.525556 | + | 0.320797i | |||||
−32.4476 | + | 13.4402i | −1.14935 | + | 0.476077i | −0.874316 | − | 0.485356i | ||
−0.275036 | + | 0.961434i | ||||||||
1.89608 | + | 15.9007i | 0.0671205 | + | 0.562878i | |||||
17.2082 | 0.608783 | |||||||||
−8.80577 | − | 1.71155i | −0.311331 | − | 0.0605126i | |||||
6.46640 | 0.228479 | |||||||||
−1.84203 | − | 15.4474i | −0.0650445 | − | 0.545468i | |||||
−0.0846974 | + | 0.0350828i | −0.00298891 | + | 0.00123805i | |||||
−21.9800 | + | 36.0094i | −0.775174 | + | 1.26995i | |||||
2.91245 | − | 7.03127i | 0.102650 | − | 0.247820i | |||||
−2.50176 | − | 4.45807i | −0.0881209 | − | 0.157029i | |||||
−12.8150 | − | 12.8150i | −0.451109 | − | 0.451109i | |||||
1.16909 | − | 31.8894i | 0.0411285 | − | 1.12187i | |||||
11.2704 | − | 11.2704i | 0.396246 | − | 0.396246i | −0.480661 | − | 0.876907i | ||
0.876907 | + | 0.480661i | ||||||||
11.5036 | + | 3.23348i | 0.404195 | + | 0.113613i | |||||
−16.3328 | − | 6.76529i | −0.573524 | − | 0.237561i | 0.0770206 | − | 0.997029i | ||
−0.650545 | + | 0.759468i | ||||||||
−35.9555 | − | 5.63029i | −1.26179 | − | 0.197585i | |||||
14.9452 | + | 36.0809i | 0.524150 | + | 1.26541i | |||||
−0.579959 | + | 0.737000i | −0.0203275 | + | 0.0258318i | |||||
21.2976i | 0.746023i | |||||||||
−27.2176 | − | 23.0818i | −0.952808 | − | 0.808023i | |||||
− | 13.9089i | − | 0.486611i | |||||||
1.82102 | + | 1.43300i | 0.0636705 | + | 0.0501035i | |||||
4.97620 | + | 12.0136i | 0.173882 | + | 0.419789i | |||||
−7.69284 | − | 10.5494i | −0.268646 | − | 0.368401i | |||||
29.5124 | + | 12.2244i | 1.02999 | + | 0.426636i | 0.832709 | − | 0.553711i | ||
0.197281 | + | 0.980347i | ||||||||
−8.07225 | + | 28.7182i | −0.281552 | + | 1.00166i | |||||
1.00381 | − | 1.00381i | 0.0349906 | − | 0.0349906i | −0.689395 | − | 0.724386i | ||
0.724386 | + | 0.689395i | ||||||||
−48.4204 | − | 22.1681i | −1.68680 | − | 0.772264i | |||||
0.227455 | + | 0.227455i | 0.00791898 | + | 0.00791898i | |||||
18.0105 | − | 10.1071i | 0.626664 | − | 0.351669i | |||||
15.7060 | − | 37.9176i | 0.546151 | − | 1.31852i | −0.374170 | − | 0.927360i | ||
0.920321 | − | 0.391165i | ||||||||
0.540098 | + | 2.23245i | 0.0187697 | + | 0.0775829i | |||||
31.9806 | − | 13.2468i | 1.11073 | − | 0.460081i | 0.249543 | − | 0.968364i | ||
0.861190 | + | 0.508283i | ||||||||
20.3318 | − | 2.42447i | 0.705728 | − | 0.0841547i | |||||
−32.6984 | −1.13430 | |||||||||
22.0515 | + | 11.0903i | 0.764496 | + | 0.384487i | |||||
52.3070 | 1.81233 | |||||||||
−10.0646 | + | 1.20015i | −0.348507 | + | 0.0415579i | |||||
7.21069 | − | 2.98677i | 0.249536 | − | 0.103361i | |||||
0.145012 | + | 0.599394i | 0.00501534 | + | 0.0207305i | |||||
−2.53450 | + | 6.11882i | −0.0876051 | + | 0.211498i | |||||
42.7652 | − | 23.9989i | 1.47730 | − | 0.829027i | |||||
3.42599 | + | 3.42599i | 0.118278 | + | 0.118278i | 0.763768 | − | 0.645490i | ||
−0.645490 | + | 0.763768i | ||||||||
−11.7077 | + | 25.5724i | −0.403956 | + | 0.882333i | |||||
−5.01582 | + | 5.01582i | −0.172959 | + | 0.172959i | |||||
−9.34602 | + | 33.2498i | −0.322085 | + | 1.14586i | |||||
5.43764 | + | 2.25234i | 0.187282 | + | 0.0775749i | |||||
16.0613 | + | 22.0253i | 0.552853 | + | 0.758143i | |||||
2.46094 | + | 5.94123i | 0.0846588 | + | 0.204384i | |||||
3.21645 | + | 2.53109i | 0.110584 | + | 0.0870205i | |||||
42.6827i | 1.46660i | |||||||||
7.10981 | − | 0.584604i | 0.244152 | − | 0.0200754i | |||||
− | 2.56638i | − | 0.0880779i | |||||||
−8.93901 | + | 11.3595i | −0.306606 | + | 0.389628i | |||||
−1.83460 | − | 4.42912i | −0.0628893 | − | 0.151828i | |||||
−13.1878 | − | 2.06508i | −0.451805 | − | 0.0707485i | |||||
−33.4739 | − | 13.8653i | −1.14612 | − | 0.474740i | −0.272892 | − | 0.962045i | ||
−0.873232 | + | 0.487305i | ||||||||
−19.8666 | − | 5.58421i | −0.679823 | − | 0.191088i | |||||
2.98010 | − | 2.98010i | 0.101917 | − | 0.101917i | |||||
−40.5393 | − | 1.48621i | −1.38560 | − | 0.0507975i | |||||
19.6667 | + | 19.6667i | 0.671800 | + | 0.671800i | 0.958131 | − | 0.286331i | ||
−0.286331 | + | 0.958131i | ||||||||
−0.433155 | − | 0.771869i | −0.0147877 | − | 0.0263512i | |||||
15.0121 | − | 36.2424i | 0.512207 | − | 1.23658i | −0.430390 | − | 0.902643i | ||
0.942597 | − | 0.333933i | ||||||||
12.7276 | − | 20.8515i | 0.434009 | − | 0.711029i | |||||
17.5658 | − | 7.27598i | 0.598640 | − | 0.247965i | |||||
−0.749491 | − | 6.28529i | −0.0255278 | − | 0.214078i | |||||
28.3727 | 0.965819 | 0.482909 | − | 0.875670i | ||||||
0.482909 | + | 0.875670i | ||||||||
−6.37588 | − | 31.3365i | −0.216912 | − | 1.06609i | |||||
−37.9058 | −1.28883 | |||||||||
−0.241459 | − | 2.02489i | −0.00820510 | − | 0.0688085i | |||||
−31.3878 | + | 13.0013i | −1.06599 | + | 0.441546i | |||||
−7.77568 | − | 4.74624i | −0.263924 | − | 0.161098i | |||||
0.396796 | − | 0.957951i | 0.0134604 | − | 0.0324963i | |||||
−8.28501 | − | 14.7636i | −0.280888 | − | 0.500534i | |||||
−33.2473 | − | 33.2473i | −1.12654 | − | 1.12654i | |||||
24.5282 | + | 26.3951i | 0.830630 | + | 0.893851i | |||||
−7.91558 | + | 7.91558i | −0.267902 | + | 0.267902i | |||||
−3.03480 | − | 0.853036i | −0.102654 | − | 0.0288544i | |||||
43.7096 | + | 18.1051i | 1.47765 | + | 0.612064i | |||||
−0.267926 | + | 1.71099i | −0.00905238 | + | 0.0578092i | |||||
−10.1396 | − | 24.4793i | −0.342391 | − | 0.826606i | −0.997473 | − | 0.0710476i | ||
0.655082 | − | 0.755558i | ||||||||
−1.05700 | + | 1.34321i | −0.0356720 | + | 0.0453312i | |||||
− | 38.0427i | − | 1.28315i | |||||||
−0.331094 | + | 1.03127i | −0.0111612 | + | 0.0347642i | |||||
9.35846i | 0.315295i | 0.987495 | + | 0.157647i | ||||||
−0.987495 | + | 0.157647i | ||||||||
9.77691 | + | 7.69363i | 0.329206 | + | 0.259058i | |||||
7.09207 | + | 17.1218i | 0.238667 | + | 0.576193i | 0.997145 | − | 0.0755050i | ||
−0.758478 | + | 0.651698i | ||||||||
32.1367 | − | 23.4348i | 1.08088 | − | 0.788196i | |||||
8.87579 | + | 3.67647i | 0.298356 | + | 0.123583i | |||||
−4.68913 | + | 16.6823i | −0.157535 | + | 0.560452i | |||||
30.8931 | − | 30.8931i | 1.03729 | − | 1.03729i | 0.0380100 | − | 0.999277i | ||
0.999277 | − | 0.0380100i | ||||||||
6.17559 | + | 16.6053i | 0.207239 | + | 0.557237i | |||||
42.3424 | + | 42.3424i | 1.42012 | + | 1.42012i | |||||
−13.5936 | + | 7.62844i | −0.455660 | + | 0.255706i | |||||
−0.256446 | + | 0.619115i | −0.00859126 | + | 0.0207411i | |||||
−1.86729 | + | 0.451754i | −0.0625214 | + | 0.0151259i | |||||
−5.18989 | + | 2.14972i | −0.173673 | + | 0.0719378i | |||||
−9.09770 | + | 1.08486i | −0.304272 | + | 0.0362831i | |||||
46.3794 | 1.55029 | |||||||||
43.9406 | − | 1.99610i | 1.46795 | − | 0.0666849i | |||||
4.52452 | 0.151069 | |||||||||
34.4849 | − | 4.11216i | 1.15078 | − | 0.137225i | |||||
5.06608 | − | 2.09844i | 0.168963 | − | 0.0699868i | |||||
−3.34165 | + | 0.808448i | −0.111388 | + | 0.0269483i | |||||
4.39903 | − | 10.6202i | 0.146553 | − | 0.353810i | |||||
0.638535 | − | 0.358331i | 0.0212609 | − | 0.0119311i | |||||
25.1547 | + | 25.1547i | 0.837096 | + | 0.837096i | |||||
5.79843 | + | 15.5912i | 0.192853 | + | 0.518554i | |||||
−2.65685 | + | 2.65685i | −0.0883168 | + | 0.0883168i | |||||
−9.91412 | + | 35.2709i | −0.329375 | + | 1.17180i | |||||
12.6479 | + | 5.23891i | 0.419965 | + | 0.173955i | 0.582651 | − | 0.812723i | ||
−0.162686 | + | 0.986678i | ||||||||
24.7846 | − | 18.0735i | 0.822507 | − | 0.599789i | |||||
−4.68027 | − | 11.2992i | −0.155235 | − | 0.374770i | |||||
−24.6334 | − | 19.3845i | −0.816590 | − | 0.642590i | |||||
− | 35.3498i | − | 1.17119i | −0.810604 | − | 0.585595i | ||||
0.810604 | − | 0.585595i | ||||||||
11.0921 | + | 3.56118i | 0.367298 | + | 0.117922i | |||||
1.14829i | 0.0380030i | |||||||||
−17.5237 | + | 22.2687i | −0.579632 | + | 0.736584i | |||||
−3.67362 | − | 8.86890i | −0.121446 | − | 0.293197i | |||||
1.45865 | − | 9.31507i | 0.0481953 | − | 0.307779i | |||||
11.5228 | + | 4.77292i | 0.380518 | + | 0.157616i | |||||
−49.6068 | − | 13.9437i | −1.63727 | − | 0.460211i | |||||
−30.0652 | + | 30.0652i | −0.991759 | + | 0.991759i | −0.999966 | − | 0.00820720i | ||
0.00820720 | + | 0.999966i | ||||||||
−3.76901 | − | 4.05588i | −0.124261 | − | 0.133718i | |||||
14.8386 | + | 14.8386i | 0.488949 | + | 0.488949i | |||||
21.3343 | + | 38.0171i | 0.702608 | + | 1.25203i | |||||
5.69321 | − | 13.7446i | 0.187394 | − | 0.452410i | |||||
−1.34628 | − | 0.821763i | −0.0442893 | − | 0.0270340i | |||||
6.62975 | − | 2.74613i | 0.217985 | − | 0.0902923i | |||||
−2.48147 | − | 20.8098i | −0.0815462 | − | 0.683853i | |||||
−20.4100 | −0.670352 | |||||||||
−14.6131 | + | 22.0786i | −0.479700 | + | 0.724767i | |||||
7.62858 | 0.250286 | 0.125143 | − | 0.992139i | ||||||
0.125143 | + | 0.992139i | ||||||||
−0.501765 | − | 4.20784i | −0.0164535 | − | 0.137980i | |||||
−15.7755 | + | 6.53442i | −0.517020 | + | 0.214157i | |||||
−24.7448 | + | 40.5389i | −0.810542 | + | 1.32790i | |||||
5.35979 | − | 12.9397i | 0.175472 | − | 0.423626i | |||||
−9.82974 | − | 17.5163i | −0.321639 | − | 0.573151i | |||||
1.23412 | + | 1.23412i | 0.0403600 | + | 0.0403600i | |||||
9.45373 | + | 0.346582i | 0.309005 | + | 0.0113284i | |||||
−21.2074 | + | 21.2074i | −0.692817 | + | 0.692817i | −0.962851 | − | 0.270034i | ||
0.270034 | + | 0.962851i | ||||||||
−80.6623 | − | 22.6729i | −2.63372 | − | 0.740298i | |||||
−21.4332 | − | 8.87793i | −0.699446 | − | 0.289720i | |||||
−9.74754 | − | 1.52637i | −0.317930 | − | 0.0497848i | |||||
13.0249 | + | 31.4448i | 0.424599 | + | 1.02507i | 0.980974 | + | 0.194141i | ||
−0.556375 | + | 0.830931i | ||||||||
20.9030 | − | 26.5631i | 0.681056 | − | 0.865472i | |||||
3.74294i | 0.121887i | |||||||||
−1.23127 | − | 14.9743i | −0.0400743 | − | 0.487373i | |||||
40.6104i | 1.32106i | |||||||||
1.07662 | + | 0.847209i | 0.0350038 | + | 0.0275451i | |||||
−18.6229 | − | 44.9596i | −0.605162 | − | 1.46099i | −0.868205 | − | 0.496206i | ||
0.263043 | − | 0.964784i | ||||||||
−11.5411 | − | 15.8266i | −0.374836 | − | 0.514023i | |||||
−1.78324 | − | 0.738644i | −0.0578866 | − | 0.0239774i | |||||
1.27687 | − | 4.54266i | 0.0414272 | − | 0.147383i | |||||
20.0628 | − | 20.0628i | 0.650582 | − | 0.650582i | |||||
29.5045 | − | 64.4447i | 0.956246 | − | 2.08866i | |||||
−33.7784 | − | 33.7784i | −1.09419 | − | 1.09419i | −0.995076 | − | 0.0991142i | ||
−0.0991142 | − | 0.995076i | ||||||||
2.38432 | − | 1.33803i | 0.0771952 | − | 0.0433202i | |||||
−6.40569 | + | 15.4647i | −0.207283 | + | 0.500426i | |||||
7.45010 | + | 30.7944i | 0.240954 | + | 0.995961i | |||||
0.877140 | − | 0.363323i | 0.0283539 | − | 0.0117446i | |||||
−45.4599 | + | 5.42088i | −1.46874 | + | 0.175141i | |||||
−59.2472 | −1.91319 | |||||||||
13.3700 | + | 15.4888i | 0.431514 | + | 0.499899i | |||||
−29.6274 | −0.955723 | |||||||||
−19.6064 | + | 2.33797i | −0.632136 | + | 0.0753792i | |||||
−14.3640 | + | 5.94977i | −0.462874 | + | 0.191729i | |||||
0.147359 | + | 0.609098i | 0.00474613 | + | 0.0196177i | |||||
−4.41735 | + | 10.6644i | −0.142199 | + | 0.343300i | |||||
7.03127 | − | 3.94579i | 0.226228 | − | 0.126954i | |||||
19.3234 | + | 19.3234i | 0.621399 | + | 0.621399i | 0.945889 | − | 0.324490i | ||
−0.324490 | + | 0.945889i | ||||||||
28.2337 | + | 12.9261i | 0.907464 | + | 0.415461i | |||||
13.2739 | − | 13.2739i | 0.426420 | − | 0.426420i | |||||
7.30205 | − | 25.9781i | 0.234455 | − | 0.834107i | |||||
−52.9160 | − | 21.9185i | −1.69816 | − | 0.703399i | −0.698234 | − | 0.715869i | ||
−0.999922 | + | 0.0124699i | ||||||||
−12.5258 | − | 17.1770i | −0.401766 | − | 0.550953i | |||||
−7.70369 | − | 18.5983i | −0.246969 | − | 0.596236i | |||||
2.97806 | + | 2.34349i | 0.0954233 | + | 0.0750903i | |||||
6.77254i | 0.216895i | |||||||||
−9.71028 | + | 11.4502i | −0.310818 | + | 0.366512i | |||||
12.2792i | 0.392848i | 0.980519 | + | 0.196424i | ||||||
−0.980519 | + | 0.196424i | ||||||||
−13.9531 | + | 17.7313i | −0.446170 | + | 0.566984i | |||||
−0.334530 | − | 0.807628i | −0.0106916 | − | 0.0258119i | |||||
−29.6292 | − | 4.63965i | −0.946469 | − | 0.148208i | |||||
12.7586 | + | 5.28477i | 0.407349 | + | 0.168730i | |||||
26.9506 | + | 7.57539i | 0.860028 | + | 0.241741i | |||||
−14.1052 | + | 14.1052i | −0.449887 | + | 0.449887i | −0.895317 | − | 0.445430i | ||
0.445430 | + | 0.895317i | ||||||||
0.506757 | − | 13.8228i | 0.0161548 | − | 0.440656i | |||||
−6.18989 | − | 6.18989i | −0.197226 | − | 0.197226i | |||||
20.8789 | + | 37.2056i | 0.664920 | + | 1.18487i | |||||
5.49824 | − | 13.2739i | 0.175011 | − | 0.422513i | |||||
−6.76468 | + | 11.0824i | −0.215213 | + | 0.352579i | |||||
−6.47010 | + | 2.68000i | −0.205737 | + | 0.0852191i | |||||
0.0491524 | + | 0.412196i | 0.00156217 | + | 0.0131004i | |||||
39.8015 | 1.26434 | 0.632169 | − | 0.774831i | ||||||
0.632169 | + | 0.774831i | ||||||||
−5.49433 | + | 3.70607i | −0.174445 | + | 0.117668i | |||||
14.8491 | 0.471222 | |||||||||
−3.13910 | − | 26.3247i | −0.0995661 | − | 0.834968i | |||||
−14.8278 | + | 6.14186i | −0.470071 | + | 0.194710i | |||||
18.5156 | + | 11.3018i | 0.586689 | + | 0.358113i | |||||
2.57111 | − | 6.20720i | 0.0814278 | − | 0.196584i | −0.877922 | − | 0.478803i | ||
0.959350 | + | 0.282219i | ||||||||
17.2700 | + | 30.7746i | 0.546673 | + | 0.974154i | |||||
18.0886 | + | 18.0886i | 0.572299 | + | 0.572299i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 32.2.g.b.21.1 | ✓ | 8 | |
3.2 | odd | 2 | 288.2.v.b.181.2 | 8 | |||
4.3 | odd | 2 | 128.2.g.b.49.1 | 8 | |||
5.2 | odd | 4 | 800.2.ba.c.149.1 | 8 | |||
5.3 | odd | 4 | 800.2.ba.d.149.2 | 8 | |||
5.4 | even | 2 | 800.2.y.b.501.2 | 8 | |||
8.3 | odd | 2 | 256.2.g.c.97.2 | 8 | |||
8.5 | even | 2 | 256.2.g.d.97.1 | 8 | |||
12.11 | even | 2 | 1152.2.v.b.433.2 | 8 | |||
16.3 | odd | 4 | 512.2.g.f.449.1 | 8 | |||
16.5 | even | 4 | 512.2.g.e.449.1 | 8 | |||
16.11 | odd | 4 | 512.2.g.g.449.2 | 8 | |||
16.13 | even | 4 | 512.2.g.h.449.2 | 8 | |||
32.3 | odd | 8 | 128.2.g.b.81.1 | 8 | |||
32.5 | even | 8 | 512.2.g.e.65.1 | 8 | |||
32.11 | odd | 8 | 512.2.g.f.65.1 | 8 | |||
32.13 | even | 8 | 256.2.g.d.161.1 | 8 | |||
32.19 | odd | 8 | 256.2.g.c.161.2 | 8 | |||
32.21 | even | 8 | 512.2.g.h.65.2 | 8 | |||
32.27 | odd | 8 | 512.2.g.g.65.2 | 8 | |||
32.29 | even | 8 | inner | 32.2.g.b.29.1 | yes | 8 | |
64.3 | odd | 16 | 4096.2.a.q.1.6 | 8 | |||
64.29 | even | 16 | 4096.2.a.k.1.6 | 8 | |||
64.35 | odd | 16 | 4096.2.a.q.1.3 | 8 | |||
64.61 | even | 16 | 4096.2.a.k.1.3 | 8 | |||
96.29 | odd | 8 | 288.2.v.b.253.2 | 8 | |||
96.35 | even | 8 | 1152.2.v.b.721.2 | 8 | |||
160.29 | even | 8 | 800.2.y.b.701.2 | 8 | |||
160.93 | odd | 8 | 800.2.ba.c.349.1 | 8 | |||
160.157 | odd | 8 | 800.2.ba.d.349.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.2.g.b.21.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
32.2.g.b.29.1 | yes | 8 | 32.29 | even | 8 | inner | |
128.2.g.b.49.1 | 8 | 4.3 | odd | 2 | |||
128.2.g.b.81.1 | 8 | 32.3 | odd | 8 | |||
256.2.g.c.97.2 | 8 | 8.3 | odd | 2 | |||
256.2.g.c.161.2 | 8 | 32.19 | odd | 8 | |||
256.2.g.d.97.1 | 8 | 8.5 | even | 2 | |||
256.2.g.d.161.1 | 8 | 32.13 | even | 8 | |||
288.2.v.b.181.2 | 8 | 3.2 | odd | 2 | |||
288.2.v.b.253.2 | 8 | 96.29 | odd | 8 | |||
512.2.g.e.65.1 | 8 | 32.5 | even | 8 | |||
512.2.g.e.449.1 | 8 | 16.5 | even | 4 | |||
512.2.g.f.65.1 | 8 | 32.11 | odd | 8 | |||
512.2.g.f.449.1 | 8 | 16.3 | odd | 4 | |||
512.2.g.g.65.2 | 8 | 32.27 | odd | 8 | |||
512.2.g.g.449.2 | 8 | 16.11 | odd | 4 | |||
512.2.g.h.65.2 | 8 | 32.21 | even | 8 | |||
512.2.g.h.449.2 | 8 | 16.13 | even | 4 | |||
800.2.y.b.501.2 | 8 | 5.4 | even | 2 | |||
800.2.y.b.701.2 | 8 | 160.29 | even | 8 | |||
800.2.ba.c.149.1 | 8 | 5.2 | odd | 4 | |||
800.2.ba.c.349.1 | 8 | 160.93 | odd | 8 | |||
800.2.ba.d.149.2 | 8 | 5.3 | odd | 4 | |||
800.2.ba.d.349.2 | 8 | 160.157 | odd | 8 | |||
1152.2.v.b.433.2 | 8 | 12.11 | even | 2 | |||
1152.2.v.b.721.2 | 8 | 96.35 | even | 8 | |||
4096.2.a.k.1.3 | 8 | 64.61 | even | 16 | |||
4096.2.a.k.1.6 | 8 | 64.29 | even | 16 | |||
4096.2.a.q.1.3 | 8 | 64.35 | odd | 16 | |||
4096.2.a.q.1.6 | 8 | 64.3 | odd | 16 |