Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [54,9,Mod(5,54)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(54, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("54.5");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 54.f (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 11.1 | ||
Character | 54.11 | ||
Dual form | 54.9.f.a.5.1 |
-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 .
−7.27231 | + | 8.66680i | −0.454519 | + | 0.541675i | |||||
−80.6183 | − | 7.85385i | −0.995288 | − | 0.0969611i | |||||
−22.2270 | − | 126.055i | −0.0868241 | − | 0.492404i | |||||
208.139 | − | 571.857i | 0.333022 | − | 0.914971i | −0.654299 | − | 0.756236i | ||
0.987321 | − | 0.158735i | ||||||||
654.349 | − | 641.588i | 0.504899 | − | 0.495052i | |||||
−808.155 | + | 4583.27i | −0.336591 | + | 1.90890i | 0.0743355 | + | 0.997233i | ||
−0.410926 | + | 0.911669i | ||||||||
1254.14 | + | 724.077i | 0.306186 | + | 0.176777i | |||||
6437.63 | + | 1266.33i | 0.981197 | + | 0.193008i | |||||
3442.52 | + | 5962.62i | 0.344252 | + | 0.596262i | |||||
−2304.87 | − | 6332.57i | −0.157425 | − | 0.432523i | 0.835756 | − | 0.549101i | ||
−0.993182 | + | 0.116578i | ||||||||
801.881 | + | 10336.9i | 0.0386710 | + | 0.498502i | |||||
−28817.9 | + | 24181.1i | −1.00899 | + | 0.846646i | −0.988205 | − | 0.153137i | ||
−0.0207890 | + | 0.999784i | ||||||||
−33845.2 | − | 40335.1i | −0.881018 | − | 1.04996i | |||||
−21271.1 | + | 44467.4i | −0.420169 | + | 0.878369i | |||||
−15395.9 | + | 5603.66i | −0.234923 | + | 0.0855050i | |||||
−25788.7 | + | 14889.1i | −0.308769 | + | 0.178268i | −0.646376 | − | 0.763019i | ||
0.337606 | + | 0.941287i | ||||||||
−57791.5 | + | 46584.6i | −0.550521 | + | 0.443764i | |||||
36420.7 | − | 63082.5i | 0.279469 | − | 0.484055i | −0.691784 | − | 0.722105i | ||
0.971253 | + | 0.238050i | ||||||||
−76711.9 | − | 13526.4i | −0.479449 | − | 0.0845399i | |||||
101148. | − | 363149.i | 0.520094 | − | 1.86727i | |||||
71644.8 | + | 26076.6i | 0.305840 | + | 0.111317i | |||||
453226. | − | 79916.0i | 1.61958 | − | 0.285576i | 0.710973 | − | 0.703220i | ||
0.908611 | + | 0.417643i | ||||||||
−95419.8 | − | 68223.7i | −0.287603 | − | 0.205632i | |||||
15537.9 | + | 13037.9i | 0.0397771 | + | 0.0333769i | |||||
− | 425611.i | − | 0.931364i | |||||||
−509046. | − | 152649.i | −0.957860 | − | 0.287237i | |||||
595709. | 0.969175 | |||||||||
−488689. | + | 582397.i | −0.690941 | + | 0.823432i | −0.991469 | − | 0.130341i | ||
0.300528 | + | 0.953773i | ||||||||
−230701. | − | 507733.i | −0.284816 | − | 0.626831i | |||||
−266191. | − | 1.50964e6i | −0.288235 | − | 1.63466i | −0.693496 | − | 0.720461i | ||
0.405261 | − | 0.914201i | ||||||||
63398.2 | − | 174185.i | 0.0604612 | − | 0.166116i | |||||
136079. | + | 528623.i | 0.114746 | + | 0.445749i | |||||
58502.5 | − | 331784.i | 0.0437783 | − | 0.248279i | |||||
2.45277e6 | + | 1.41611e6i | 1.63450 | + | 0.943677i | |||||
16538.4 | − | 839645.i | 0.00984656 | − | 0.499903i | |||||
−1.42819e6 | − | 2.47370e6i | −0.762042 | − | 1.31990i | −0.941796 | − | 0.336184i | ||
0.179754 | − | 0.983712i | ||||||||
281861. | + | 774407.i | 0.135176 | + | 0.371394i | |||||
2.51316e6 | − | 1.72311e6i | 1.08633 | − | 0.744824i | |||||
675103. | − | 566479.i | 0.263712 | − | 0.221281i | |||||
−2.69268e6 | − | 3.20902e6i | −0.952906 | − | 1.13563i | −0.990662 | − | 0.136342i | ||
0.0377562 | − | 0.999287i | ||||||||
2.41176e6 | + | 3.51756e6i | 0.775062 | + | 1.13043i | |||||
2.67475e6 | − | 973529.i | 0.782365 | − | 0.284757i | 0.0802063 | − | 0.996778i | ||
0.702158 | + | 0.712021i | ||||||||
−747024. | + | 431294.i | −0.199308 | + | 0.115070i | |||||
2.06408e6 | − | 3.41783e6i | 0.503357 | − | 0.833490i | |||||
−2.60338e6 | + | 4.50919e6i | −0.581443 | + | 1.00709i | |||||
−390402. | − | 68838.4i | −0.0800056 | − | 0.0141072i | 0.133502 | − | 0.991049i | ||
−0.213508 | + | 0.976941i | ||||||||
1.28520e6 | − | 330840.i | 0.242107 | − | 0.0623237i | |||||
−1.49361e7 | − | 5.43631e6i | −2.59092 | − | 0.943018i | |||||
−225993. | + | 39848.7i | −0.0361589 | + | 0.00637579i | |||||
2.19598e6 | − | 997795.i | 0.324599 | − | 0.147489i | |||||
3.68869e6 | + | 3.09518e6i | 0.504497 | + | 0.423323i | |||||
34340.3i | 0.00435212i | 0.999998 | + | 0.00217606i | ||||||
−0.999998 | + | 0.00217606i | ||||||||
5.02492e6 | − | 3.30169e6i | 0.590955 | − | 0.388294i | |||||
−4.10105e6 | −0.448172 | |||||||||
−4.33218e6 | + | 5.16289e6i | −0.440509 | + | 0.524978i | |||||
−3.43162e6 | + | 4.79956e6i | −0.325087 | + | 0.454676i | |||||
−1.49362e6 | − | 8.47075e6i | −0.131986 | − | 0.748531i | |||||
5.31298e6 | − | 1.45973e7i | 0.438460 | − | 1.20466i | −0.502034 | − | 0.864848i | ||
0.940494 | − | 0.339811i | ||||||||
6.07815e6 | + | 1.69296e6i | 0.468993 | + | 0.130629i | |||||
−669659. | + | 3.79782e6i | −0.0483653 | + | 0.274293i | −0.999394 | − | 0.0348094i | ||
0.951029 | + | 0.309103i | ||||||||
1.50196e7 | + | 8.67158e6i | 1.01646 | + | 0.586856i | |||||
−1.10065e7 | + | 2.84820e7i | −0.698696 | + | 1.80804i | |||||
1.04858e6 | + | 1.81619e6i | 0.0625000 | + | 0.108253i | |||||
7.82999e6 | + | 2.15127e7i | 0.438639 | + | 1.20515i | |||||
−5.57108e6 | − | 2.66494e6i | −0.293605 | − | 0.140447i | |||||
5.68875e6 | − | 4.77343e6i | 0.282304 | − | 0.236882i | −0.490629 | − | 0.871368i | ||
0.772934 | + | 0.634487i | ||||||||
2.45006e6 | + | 2.91987e6i | 0.114588 | + | 0.136561i | |||||
−3.71660e7 | + | 2.88312e6i | −1.63964 | + | 0.127194i | |||||
−3.01104e7 | + | 1.09593e7i | −1.25408 | + | 0.456447i | |||||
−2.44321e7 | + | 1.41059e7i | −0.961452 | + | 0.555094i | −0.896620 | − | 0.442802i | ||
−0.0648322 | + | 0.997896i | ||||||||
7.15677e6 | + | 6.24950e6i | 0.266310 | + | 0.232549i | |||||
6.47054e6 | − | 1.12073e7i | 0.227850 | − | 0.394648i | −0.729321 | − | 0.684172i | ||
0.957171 | + | 0.289524i | ||||||||
3.18253e7 | + | 5.61166e6i | 1.06132 | + | 0.187139i | |||||
−1.15024e6 | − | 1.17312e6i | −0.0363534 | − | 0.0370765i | |||||
−8.76141e6 | − | 3.18889e6i | −0.262615 | − | 0.0955841i | |||||
3.08866e7 | − | 5.44614e6i | 0.878631 | − | 0.154926i | |||||
−3.34268e6 | + | 3.43121e7i | −0.0903061 | + | 0.926976i | |||||
5.72766e6 | + | 4.80607e6i | 0.147051 | + | 0.123391i | 0.713346 | − | 0.700812i | ||
−0.566294 | + | 0.824203i | ||||||||
9.97060e6i | 0.243423i | |||||||||
3.98395e7 | + | 1.63043e7i | 0.925495 | + | 0.378759i | |||||
4.73939e7 | 1.04826 | |||||||||
2.51217e7 | − | 2.99388e7i | 0.529341 | − | 0.630844i | −0.433422 | − | 0.901191i | ||
0.962763 | + | 0.270347i | ||||||||
−4.80251e7 | − | 4.67861e6i | −0.964608 | − | 0.0939722i | |||||
3.14681e6 | + | 1.78464e7i | 0.0602830 | + | 0.341882i | |||||
−1.10142e7 | + | 3.02613e7i | −0.201354 | + | 0.553215i | |||||
4.39714e7 | − | 4.31138e7i | 0.767526 | − | 0.752557i | |||||
1.69465e6 | − | 9.61082e6i | 0.0282585 | − | 0.160262i | |||||
−2.94822e7 | − | 1.70215e7i | −0.469894 | − | 0.271293i | 0.246301 | − | 0.969193i | ||
−0.716195 | + | 0.697900i | ||||||||
1.46110e7 | + | 4.27445e7i | 0.222695 | + | 0.651494i | |||||
−8.75391e7 | − | 1.51622e8i | −1.27655 | − | 2.21104i | |||||
−2.01477e7 | − | 5.53553e7i | −0.281238 | − | 0.772694i | |||||
9.60337e6 | + | 1.23796e8i | 0.128378 | + | 1.65491i | |||||
3.43573e6 | − | 2.88292e6i | 0.0440056 | − | 0.0369251i | |||||
−2.84936e7 | − | 3.39573e7i | −0.349826 | − | 0.416907i | |||||
−6.47908e6 | + | 1.35446e7i | −0.0762831 | + | 0.159471i | |||||
−1.27634e8 | + | 4.64551e7i | −1.44172 | + | 0.524743i | −0.940266 | − | 0.340441i | ||
−0.501454 | + | 0.865184i | ||||||||
1.55736e8 | − | 8.99140e7i | 1.68843 | − | 0.974817i | |||||
−6.81877e6 | − | 4.36855e7i | −0.0709848 | − | 0.454775i | |||||
1.29813e6 | − | 2.24843e6i | 0.0129813 | − | 0.0224843i | |||||
1.52432e8 | + | 2.68778e7i | 1.46484 | + | 0.258291i | 0.848503 | − | 0.529191i | ||
0.616337 | + | 0.787482i | ||||||||
−7.32215e6 | + | 2.62884e7i | −0.0676454 | + | 0.242864i | |||||
8.46933e6 | + | 3.08258e6i | 0.0752489 | + | 0.0273884i | 0.379370 | − | 0.925245i | ||
−0.304121 | + | 0.952633i | ||||||||
−5.36506e7 | + | 9.46004e6i | −0.458607 | + | 0.0808649i | |||||
−1.86616e8 | − | 1.33428e8i | −1.53530 | − | 1.09771i | |||||
−297621. | − | 249734.i | −0.00235744 | − | 0.00197812i | |||||
− | 1.30990e7i | − | 0.0999319i | −0.998751 | − | 0.0499659i | ||||
0.998751 | − | 0.0499659i | ||||||||
−7.92775e6 | + | 6.75609e7i | −0.0582713 | + | 0.496593i | |||||
−3.69259e7 | −0.261592 | −0.130796 | − | 0.991409i | ||||||
−0.130796 | + | 0.991409i | ||||||||
2.98241e7 | − | 3.55430e7i | 0.203703 | − | 0.242764i | |||||
9.57103e7 | + | 2.10642e8i | 0.630473 | + | 1.38757i | |||||
−1.32408e7 | − | 7.50923e7i | −0.0841477 | − | 0.477225i | |||||
1.96169e7 | − | 5.38970e7i | 0.120314 | − | 0.330561i | −0.864886 | − | 0.501968i | ||
0.985200 | + | 0.171408i | ||||||||
−1.66411e7 | − | 6.46451e7i | −0.0985286 | − | 0.382751i | |||||
4.86334e7 | − | 2.75814e8i | 0.278063 | − | 1.57697i | |||||
8.42764e7 | + | 4.86570e7i | 0.465451 | + | 0.268728i | |||||
−2.16140e8 | + | 1.19176e8i | −1.15343 | + | 0.635983i | |||||
8.78742e7 | + | 1.52203e8i | 0.453245 | + | 0.785044i | |||||
−4.73996e7 | − | 1.30229e8i | −0.236367 | − | 0.649413i | |||||
−5.88747e7 | + | 4.03664e7i | −0.283925 | + | 0.194668i | |||||
1.29419e8 | − | 1.08596e8i | 0.603751 | − | 0.506607i | |||||
−2.80450e7 | − | 3.34228e7i | −0.126595 | − | 0.150870i | |||||
1.91877e8 | + | 2.79853e8i | 0.838304 | + | 1.22267i | |||||
−1.84382e8 | + | 6.71096e7i | −0.779888 | + | 0.283856i | |||||
2.16559e8 | − | 1.25031e8i | 0.887027 | − | 0.512125i | |||||
−1.66805e8 | − | 3.02522e8i | −0.661802 | − | 1.20026i | |||||
7.79555e7 | − | 1.35023e8i | 0.299662 | − | 0.519030i | −0.676396 | − | 0.736538i | ||
0.976059 | + | 0.217508i | ||||||||
−2.33661e7 | − | 4.12008e6i | −0.0870455 | − | 0.0153485i | |||||
−2.23280e8 | + | 5.74772e7i | −0.806289 | + | 0.207557i | |||||
−2.43389e8 | − | 8.85862e7i | −0.852171 | − | 0.310165i | |||||
2.07082e8 | − | 3.65141e7i | 0.703164 | − | 0.123987i | 0.189377 | − | 0.981904i | ||
0.513787 | + | 0.857918i | ||||||||
6.36112e7 | − | 2.89032e7i | 0.209526 | − | 0.0952030i | |||||
2.59691e8 | + | 2.17906e8i | 0.829946 | + | 0.696408i | |||||
8.40171e7i | 0.260585i | |||||||||
−1.93246e8 | + | 2.59329e8i | −0.581802 | + | 0.780757i | |||||
−4.31235e7 | −0.126054 | |||||||||
1.86230e8 | − | 2.21940e8i | 0.528649 | − | 0.630019i | −0.433954 | − | 0.900935i | ||
0.962603 | + | 0.270916i | ||||||||
2.45295e8 | − | 3.43077e8i | 0.676352 | − | 0.945966i | |||||
−5.40792e7 | − | 3.06699e8i | −0.144868 | − | 0.821585i | −0.967473 | − | 0.252973i | ||
0.822606 | − | 0.568612i | ||||||||
1.23990e8 | − | 3.40660e8i | 0.322757 | − | 0.886766i | |||||
3.09329e7 | + | 8.61580e6i | 0.0782608 | + | 0.0217981i | |||||
5.54250e7 | − | 3.14331e8i | 0.136318 | − | 0.773096i | |||||
2.19550e8 | + | 1.26757e8i | 0.525035 | + | 0.303129i | |||||
−1.06209e8 | + | 1.65780e7i | −0.247009 | + | 0.0385551i | |||||
2.31333e8 | + | 4.00680e8i | 0.523317 | + | 0.906412i | |||||
5.00757e7 | + | 1.37582e8i | 0.110209 | + | 0.302796i | |||||
1.16143e9 | + | 5.55572e8i | 2.48728 | + | 1.18979i | |||||
−2.80079e8 | + | 2.35014e8i | −0.583758 | + | 0.489831i | |||||
−1.85737e8 | − | 2.21353e8i | −0.376838 | − | 0.449098i | 0.543976 | − | 0.839101i | ||
−0.920813 | + | 0.390003i | ||||||||
1.85322e7 | − | 1.43762e6i | 0.0366067 | − | 0.00283974i | |||||
−8.24893e8 | + | 3.00236e8i | −1.58668 | + | 0.577505i | −0.976643 | − | 0.214868i | ||
−0.610038 | + | 0.792372i | ||||||||
9.13532e7 | − | 5.27428e7i | 0.171139 | − | 0.0988073i | |||||
−1.84873e8 | + | 6.31937e7i | −0.337371 | + | 0.115321i | |||||
−1.77416e8 | + | 3.07294e8i | −0.315435 | + | 0.546350i | |||||
−9.18705e8 | − | 1.61992e8i | −1.59166 | − | 0.280652i | |||||
−2.73067e8 | − | 2.78498e8i | −0.461074 | − | 0.470245i | |||||
−4.67660e8 | − | 1.70214e8i | −0.769717 | − | 0.280154i | −0.0728391 | − | 0.997344i | ||
−0.696878 | + | 0.717190i | ||||||||
−8.33066e7 | + | 1.46892e7i | −0.133675 | + | 0.0235706i | |||||
269704. | − | 2.76846e6i | 0.000421986 | − | 0.00433161i | |||||
−8.64132e7 | − | 7.25093e7i | −0.131856 | − | 0.110640i | |||||
2.14184e9i | 3.18775i | |||||||||
−4.31032e8 | + | 2.26711e8i | −0.625820 | + | 0.329165i | |||||
6.53890e8 | 0.926306 | 0.463153 | − | 0.886278i | ||||||
0.463153 | + | 0.886278i | ||||||||
−3.44664e8 | + | 4.10754e8i | −0.476453 | + | 0.567814i | |||||
3.30620e8 | + | 3.22090e7i | 0.446060 | + | 0.0434552i | |||||
7.67814e7 | + | 4.35449e8i | 0.101117 | + | 0.573462i | |||||
−4.24548e8 | + | 1.16644e9i | −0.545834 | + | 1.49967i | 0.293450 | + | 0.955974i | ||
−0.839284 | + | 0.543693i | ||||||||
3.89802e8 | − | 3.82200e8i | 0.489336 | − | 0.479792i | |||||
1.04096e8 | − | 5.90356e8i | 0.127610 | − | 0.723714i | |||||
−1.77556e8 | − | 1.02512e8i | −0.212589 | − | 0.122738i | |||||
3.14346e8 | − | 3.59982e8i | 0.367641 | − | 0.421013i | |||||
−1.82170e8 | − | 3.15528e8i | −0.208144 | − | 0.360516i | |||||
1.56927e8 | + | 4.31152e8i | 0.175191 | + | 0.481334i | 0.995947 | − | 0.0899458i | ||
−0.820755 | + | 0.571280i | ||||||||
5.38853e7 | + | 6.94629e8i | 0.0587860 | + | 0.757802i | |||||
−7.23131e7 | + | 6.06779e7i | −0.0771019 | + | 0.0646962i | |||||
7.09711e7 | + | 8.45800e7i | 0.0739658 | + | 0.0881490i | |||||
−5.42968e8 | + | 1.13508e9i | −0.553199 | + | 1.15647i | |||||
3.61926e8 | − | 1.31730e8i | 0.360529 | − | 0.131222i | |||||
3.92103e8 | − | 2.26381e8i | 0.381933 | − | 0.220509i | −0.296726 | − | 0.954963i | ||
0.678659 | + | 0.734453i | ||||||||
−4.76714e8 | − | 1.84220e8i | −0.454117 | − | 0.175488i | |||||
6.48174e8 | − | 1.12267e9i | 0.603917 | − | 1.04602i | −0.388304 | − | 0.921531i | ||
0.992222 | − | 0.124484i | ||||||||
1.95069e9 | + | 3.43960e8i | 1.77788 | + | 0.313489i | |||||
8.38143e7 | − | 3.00915e8i | 0.0747332 | − | 0.268311i | |||||
6.26274e8 | + | 2.27945e8i | 0.546377 | + | 0.198865i | |||||
−1.71186e9 | + | 3.01847e8i | −1.46144 | + | 0.257692i | |||||
−1.14275e9 | − | 8.17050e8i | −0.954773 | − | 0.682648i | |||||
1.53726e8 | + | 1.28991e8i | 0.125713 | + | 0.105486i | |||||
5.07423e7i | 0.0406199i | |||||||||
1.11102e9 | − | 2.20973e9i | 0.870714 | − | 1.73178i | |||||
5.01516e8 | 0.384831 | |||||||||
1.23458e8 | − | 1.47132e8i | 0.0927655 | − | 0.110554i | −0.717665 | − | 0.696389i | ||
0.810430 | + | 0.585835i | ||||||||
−7.02704e7 | − | 1.54653e8i | −0.0517092 | − | 0.113803i | |||||
2.02415e7 | + | 1.14795e8i | 0.0145886 | + | 0.0827361i | 0.991233 | − | 0.132127i | ||
−0.976644 | + | 0.214863i | ||||||||
5.25580e8 | − | 1.44402e9i | 0.371049 | − | 1.01945i | |||||
−4.62283e8 | − | 1.79581e9i | −0.319720 | − | 1.24200i | |||||
−3.53291e8 | + | 2.00361e9i | −0.239391 | + | 1.35766i | |||||
−1.96751e9 | − | 1.13594e9i | −1.30633 | − | 0.754208i | −0.324845 | − | 0.945767i | ||
−0.981481 | + | 0.191559i | ||||||||
4.28202e8 | + | 2.58597e8i | 0.278604 | + | 0.168253i | |||||
−2.53993e8 | − | 4.39928e8i | −0.161960 | − | 0.280524i | 0.773611 | − | 0.633660i | ||
−0.935572 | + | 0.353137i | ||||||||
1.00463e7 | + | 2.76019e7i | 0.00627893 | + | 0.0172512i | |||||
−4.96107e8 | + | 3.40147e8i | −0.303943 | + | 0.208393i | |||||
−1.34148e9 | + | 1.12563e9i | −0.805708 | + | 0.676069i | |||||
−2.27435e9 | − | 2.71046e9i | −1.33929 | − | 1.59610i | |||||
−1.74587e8 | − | 2.54637e8i | −0.100807 | − | 0.147028i | |||||
−2.39555e9 | + | 8.71908e8i | −1.35641 | + | 0.493691i | |||||
−8.83078e7 | + | 5.09845e7i | −0.0490377 | + | 0.0283119i | |||||
3.01890e9 | + | 5.94631e7i | 1.64425 | + | 0.0323867i | |||||
3.08175e8 | − | 5.33775e8i | 0.164644 | − | 0.285171i | |||||
−4.83419e8 | − | 8.52398e7i | −0.253360 | − | 0.0446743i | |||||
2.51352e9 | − | 6.47037e8i | 1.29243 | − | 0.332699i | |||||
1.98173e9 | + | 7.21292e8i | 0.999806 | + | 0.363900i | 0.789510 | − | 0.613738i | ||
0.210296 | + | 0.977638i | ||||||||
4.32878e6 | − | 763281.i | 0.00214300 | − | 0.000377869i | |||||
2.08046e9 | − | 9.45307e8i | 1.01074 | − | 0.459256i | |||||
1.13527e8 | + | 9.52602e7i | 0.0541306 | + | 0.0454210i | |||||
− | 1.73220e9i | − | 0.810671i | |||||||
−5.27884e8 | − | 5.60032e8i | −0.242507 | − | 0.257275i | |||||
7.13424e9 | 3.21743 | |||||||||
2.68537e8 | − | 3.20030e8i | 0.118899 | − | 0.141698i | |||||
−6.09665e8 | + | 8.52696e8i | −0.265042 | + | 0.370696i | |||||
9.11539e7 | + | 5.16960e8i | 0.0389121 | + | 0.220681i | |||||
3.83141e8 | − | 1.05267e9i | 0.160616 | − | 0.441290i | |||||
−2.52163e9 | − | 7.02354e8i | −1.03817 | − | 0.289164i | |||||
−1.07941e8 | + | 6.12162e8i | −0.0436481 | + | 0.247541i | −0.998823 | − | 0.0485009i | ||
0.955175 | + | 0.296042i | ||||||||
7.47102e8 | + | 4.31339e8i | 0.296748 | + | 0.171328i | |||||
8.35172e7 | + | 1.03609e8i | 0.0325871 | + | 0.0404267i | |||||
3.24455e8 | + | 5.61972e8i | 0.124371 | + | 0.215417i | |||||
−5.66505e8 | − | 1.55646e9i | −0.213354 | − | 0.586184i | 0.786138 | − | 0.618050i | ||
−0.999492 | + | 0.0318660i | ||||||||
6.81285e8 | + | 3.25894e8i | 0.252110 | + | 0.120597i | |||||
1.41138e8 | − | 1.18429e8i | 0.0513217 | − | 0.0430640i | −0.616766 | − | 0.787147i | ||
0.668088 | + | 0.744083i | ||||||||
2.03675e9 | + | 2.42730e9i | 0.727823 | + | 0.867386i | |||||
−2.53280e9 | + | 1.96480e8i | −0.889513 | + | 0.0690034i | |||||
−1.03459e9 | + | 3.76558e8i | −0.357120 | + | 0.129981i | |||||
−1.64102e9 | + | 9.47443e8i | −0.556788 | + | 0.321462i | −0.751855 | − | 0.659328i | ||
0.195067 | + | 0.980790i | ||||||||
5.38963e8 | − | 2.73993e9i | 0.179761 | − | 0.913852i | |||||
−1.20623e8 | + | 2.08926e8i | −0.0395513 | + | 0.0685048i | |||||
−1.95816e9 | − | 3.45276e8i | −0.631248 | − | 0.111306i | |||||
−4.24008e8 | − | 4.32442e8i | −0.134394 | − | 0.137067i | |||||
1.47338e9 | + | 5.36266e8i | 0.459205 | + | 0.167137i | |||||
6.53182e7 | − | 1.15174e7i | 0.0200190 | − | 0.00352989i | −0.163630 | − | 0.986522i | ||
0.183649 | + | 0.982992i | ||||||||
7.83076e7 | − | 8.03813e8i | 0.0236025 | − | 0.242276i | |||||
−3.35963e9 | − | 2.81906e9i | −0.995917 | − | 0.835674i | −0.00950371 | − | 0.999955i | ||
−0.986414 | + | 0.164281i | ||||||||
1.91140e9i | 0.557300i | |||||||||
−3.08375e9 | − | 1.62732e9i | −0.884410 | − | 0.466711i | |||||
4.93621e8 | 0.139262 | |||||||||
−6.21758e9 | + | 7.40982e9i | −1.72567 | + | 2.05657i | |||||
−3.82082e9 | − | 3.72225e8i | −1.04332 | − | 0.101640i | |||||
4.75835e8 | + | 2.69860e9i | 0.127841 | + | 0.725020i | |||||
7.59259e8 | − | 2.08605e9i | 0.200717 | − | 0.551464i | |||||
−2.26040e9 | + | 2.21632e9i | −0.588015 | + | 0.576547i | |||||
−4.91271e8 | + | 2.78614e9i | −0.125765 | + | 0.713251i | |||||
5.21406e9 | + | 3.01034e9i | 1.31366 | + | 0.758439i | 0.982699 | − | 0.185207i | ||
0.330956 | + | 0.943646i | ||||||||
3.83496e9 | + | 7.54363e8i | 0.950952 | + | 0.187059i | |||||
−1.55070e9 | − | 2.68589e9i | −0.378482 | − | 0.655550i | |||||
6.03300e8 | + | 1.65755e9i | 0.144943 | + | 0.398229i | |||||
−1.13527e8 | − | 1.46347e9i | −0.0268497 | − | 0.346116i | |||||
2.05633e8 | − | 1.72547e8i | 0.0478778 | − | 0.0401742i | |||||
−5.51616e9 | − | 6.57390e9i | −1.26446 | − | 1.50692i | −0.770505 | − | 0.637434i | ||
−0.493953 | − | 0.869489i | ||||||||
1.12562e9 | − | 2.35311e9i | 0.254046 | − | 0.531085i | |||||
1.24918e10 | − | 4.54665e9i | 2.77605 | − | 1.01040i | |||||
2.53776e9 | − | 1.46517e9i | 0.555337 | − | 0.320624i | |||||
−3.88351e9 | + | 3.13042e9i | −0.836879 | + | 0.674591i | |||||
−1.18950e9 | + | 2.06028e9i | −0.252441 | + | 0.437241i | |||||
−3.56775e9 | − | 6.29090e8i | −0.745712 | − | 0.131489i | −0.212135 | − | 0.977240i | ||
−0.533577 | + | 0.845751i | ||||||||
−2.12101e8 | + | 7.61499e8i | −0.0436644 | + | 0.156767i | |||||
1.96377e7 | + | 7.14755e6i | 0.00398206 | + | 0.00144935i | |||||
−3.77711e9 | + | 6.66006e8i | −0.754454 | + | 0.133031i | |||||
2.24312e9 | + | 1.60380e9i | 0.441375 | + | 0.315576i | |||||
−7.28160e8 | − | 6.10999e8i | −0.141152 | − | 0.118441i | |||||
2.99749e9i | 0.572465i | 0.958160 | + | 0.286233i | ||||||
−0.958160 | + | 0.286233i | ||||||||
−8.42209e8 | − | 3.56074e9i | −0.158477 | − | 0.670017i | |||||
−4.06312e9 | −0.753325 | −0.376663 | − | 0.926351i | ||||||
−0.376663 | + | 0.926351i | ||||||||
3.13607e8 | − | 3.73743e8i | 0.0572942 | − | 0.0682806i | |||||
5.86644e9 | + | 1.29111e10i | 1.05615 | + | 2.32440i | |||||
5.69190e8 | + | 3.22804e9i | 0.100985 | + | 0.572712i | |||||
4.67503e7 | − | 1.28445e8i | 0.00817436 | − | 0.0224589i | |||||
1.18952e9 | + | 4.62089e9i | 0.204991 | + | 0.796323i | |||||
5.01418e8 | − | 2.84368e9i | 0.0851689 | − | 0.483017i | −0.912151 | − | 0.409854i | ||
0.997320 | − | 0.0731627i | ||||||||
3.05138e9 | + | 1.76171e9i | 0.510877 | + | 0.294955i | |||||
1.98065e8 | − | 1.00556e10i | 0.0326882 | − | 1.65956i | |||||
2.05074e9 | + | 3.55199e9i | 0.333640 | + | 0.577882i | |||||
1.18431e9 | + | 3.25387e9i | 0.189951 | + | 0.521885i | 0.997711 | − | 0.0676261i | ||
−0.807760 | + | 0.589512i | ||||||||
−2.99625e8 | + | 2.05433e8i | −0.0473786 | + | 0.0324843i | |||||
−5.07471e9 | + | 4.25819e9i | −0.791163 | + | 0.663864i | −0.946033 | − | 0.324070i | ||
0.154870 | + | 0.987935i | ||||||||
2.32117e9 | + | 2.76627e9i | 0.356808 | + | 0.425227i | |||||
2.03041e9 | + | 2.96137e9i | 0.307754 | + | 0.448862i | |||||
−2.69521e9 | + | 9.80976e8i | −0.402836 | + | 0.146620i | |||||
1.68839e10 | − | 9.74792e9i | 2.48854 | − | 1.43676i | |||||
6.28710e8 | − | 1.04106e9i | 0.0913861 | − | 0.151323i | |||||
−3.04451e9 | + | 5.27324e9i | −0.436441 | + | 0.755938i | |||||
−5.15494e9 | − | 9.08954e8i | −0.728838 | − | 0.128514i | |||||
1.06545e10 | − | 2.74271e9i | 1.48581 | − | 0.382480i | |||||
−1.55656e9 | − | 5.66542e8i | −0.214109 | − | 0.0779293i | |||||
2.26858e9 | − | 4.00012e8i | 0.307811 | − | 0.0542753i | −0.0176092 | − | 0.999845i | ||
0.325420 | + | 0.945570i | ||||||||
−1.32613e10 | + | 6.02560e9i | −1.77500 | + | 0.806512i | |||||
−7.24172e9 | − | 6.07652e9i | −0.956211 | − | 0.802356i | |||||
− | 4.13648e9i | − | 0.538845i | |||||||
2.06619e8 | + | 3.57540e9i | 0.0265549 | + | 0.459514i | |||||
3.26916e9 | 0.414545 | |||||||||
−1.11286e10 | + | 1.32625e10i | −1.39237 | + | 1.65936i | |||||
−1.22312e8 | + | 1.71069e8i | −0.0151003 | + | 0.0211197i | |||||
2.30034e9 | + | 1.30459e10i | 0.280237 | + | 1.58930i | |||||
3.39679e9 | − | 9.33259e9i | 0.408357 | − | 1.12195i | |||||
−1.20777e10 | − | 3.36402e9i | −1.43289 | − | 0.399106i | |||||
−2.07238e8 | + | 1.17530e9i | −0.0242647 | + | 0.137612i | |||||
2.03243e9 | + | 1.17342e9i | 0.234864 | + | 0.135599i | |||||
7.96765e8 | − | 2.06182e9i | 0.0908750 | − | 0.235161i | |||||
−3.93188e9 | − | 6.81021e9i | −0.442636 | − | 0.766668i | 0.555248 | − | 0.831685i | ||
−0.997884 | + | 0.0650169i | ||||||||
−1.37303e9 | − | 3.77237e9i | −0.152573 | − | 0.419190i | |||||
−6.58573e8 | − | 3.15030e8i | −0.0722387 | − | 0.0345555i | |||||
8.08507e9 | − | 6.78418e9i | 0.875461 | − | 0.734599i | |||||
−1.55726e9 | − | 1.85588e9i | −0.166464 | − | 0.198384i | 0.676363 | − | 0.736568i | ||
−0.842827 | + | 0.538184i | ||||||||
4.39952e9 | − | 3.41290e8i | 0.464287 | − | 0.0360168i | |||||
−7.11159e9 | + | 2.58841e9i | −0.740951 | + | 0.269684i | −0.684793 | − | 0.728738i | ||
−0.0561581 | + | 0.998422i | ||||||||
4.87618e9 | − | 2.81526e9i | 0.501604 | − | 0.289601i | |||||
1.39968e10 | + | 1.22224e10i | 1.42163 | + | 1.24140i | |||||
4.78523e8 | − | 8.28826e8i | 0.0479904 | − | 0.0831219i | |||||
1.30171e10 | + | 2.29527e9i | 1.28907 | + | 0.227298i | 0.775829 | − | 0.630944i | ||
0.513245 | + | 0.858242i | ||||||||
2.20323e7 | + | 2.24706e7i | 0.00215453 | + | 0.00219738i | |||||
4.81443e9 | + | 1.75231e9i | 0.464925 | + | 0.169219i | |||||
1.25685e9 | − | 2.21616e8i | 0.119862 | − | 0.0211350i | |||||
−1.02878e8 | + | 1.05602e9i | −0.00968950 | + | 0.0994610i | |||||
−1.85629e10 | − | 1.55761e10i | −1.72672 | − | 1.44889i | |||||
2.16909e9i | 0.199282i | |||||||||
1.16973e9 | − | 5.38439e9i | 0.106147 | − | 0.488603i | |||||
−7.63039e8 | −0.0683933 | |||||||||
−4.75529e9 | + | 5.66714e9i | −0.421024 | + | 0.501757i | |||||
2.97691e9 | + | 2.90010e8i | 0.260360 | + | 0.0253643i | |||||
−1.05342e9 | − | 5.97426e9i | −0.0910139 | − | 0.516165i | |||||
6.31010e8 | − | 1.73369e9i | 0.0538583 | − | 0.147975i | |||||
−2.68352e9 | + | 2.63118e9i | −0.226282 | + | 0.221868i | |||||
3.15619e9 | − | 1.78997e10i | 0.262937 | − | 1.49119i | −0.511909 | − | 0.859040i | ||
0.774846 | − | 0.632150i | ||||||||
−4.33233e9 | − | 2.50127e9i | −0.356590 | − | 0.205877i | |||||
−6.06165e9 | − | 1.77333e10i | −0.492963 | − | 1.44216i | |||||
−7.02182e9 | − | 1.21622e10i | −0.564240 | − | 0.977293i | |||||
−1.54567e9 | − | 4.24669e9i | −0.122726 | − | 0.337187i | |||||
4.77688e8 | + | 6.15781e9i | 0.0374789 | + | 0.483136i | |||||
−1.14032e10 | + | 9.56846e9i | −0.884115 | + | 0.741861i | −0.967021 | − | 0.254697i | ||
0.0829057 | + | 0.996557i | ||||||||
4.35948e9 | + | 5.19543e9i | 0.334017 | + | 0.398066i | |||||
−2.00478e9 | + | 4.19102e9i | −0.151799 | + | 0.317337i | |||||
2.17970e9 | − | 7.93345e8i | 0.163110 | − | 0.0593672i | |||||
−8.94639e9 | + | 5.16520e9i | −0.661653 | + | 0.382006i | |||||
8.33865e8 | + | 5.34228e9i | 0.0609525 | + | 0.390501i | |||||
2.35722e10 | − | 4.08282e10i | 1.70303 | − | 2.94974i | |||||
4.05942e9 | + | 7.15785e8i | 0.289888 | + | 0.0511150i | |||||
−6.08695e9 | + | 2.18537e10i | −0.429658 | + | 1.54258i | |||||
−4.87793e9 | − | 1.77542e9i | −0.340354 | − | 0.123879i | |||||
2.42670e10 | − | 4.27893e9i | 1.67378 | − | 0.295132i | 0.745359 | − | 0.666664i | ||
0.928420 | + | 0.371531i | ||||||||
−6.41208e9 | − | 4.58454e9i | −0.437202 | − | 0.312593i | |||||
−1.55872e10 | − | 1.30792e10i | −1.05067 | − | 0.881618i | −0.0575079 | − | 0.998345i | ||
−0.993164 | + | 0.116727i | ||||||||
− | 1.06799e9i | − | 0.0711698i | |||||||
1.83608e10 | − | 7.91024e9i | 1.20966 | − | 0.521148i | |||||
−1.24916e9 | −0.0813670 | |||||||||
6.55825e9 | − | 7.81582e9i | 0.422366 | − | 0.503357i | −0.512337 | − | 0.858784i | ||
0.934704 | + | 0.355428i | ||||||||
−5.88890e9 | − | 1.29605e10i | −0.374991 | − | 0.825292i | |||||
2.98127e9 | + | 1.69076e10i | 0.187710 | + | 1.06456i | |||||
−1.49036e9 | + | 4.09473e9i | −0.0927878 | + | 0.254932i | |||||
2.79848e9 | + | 1.08711e10i | 0.172286 | + | 0.669272i | |||||
−8.89497e8 | + | 5.04459e9i | −0.0541517 | + | 0.307110i | |||||
1.49833e10 | + | 8.65060e9i | 0.902047 | + | 0.520797i | 0.877864 | − | 0.478910i | ||
0.0241833 | + | 0.999708i | ||||||||
5.06342e9 | − | 2.79188e9i | 0.301463 | − | 0.166221i | |||||
5.83885e9 | + | 1.01132e10i | 0.343794 | + | 0.595469i | |||||
5.01624e9 | + | 1.37820e10i | 0.292108 | + | 0.802561i | |||||
−1.12865e10 | + | 7.73837e9i | −0.650028 | + | 0.445680i | |||||
−1.71671e10 | + | 1.44049e10i | −0.977892 | + | 0.820548i | |||||
−5.06220e9 | − | 6.03290e9i | −0.285212 | − | 0.339903i | |||||
1.99845e9 | + | 2.91475e9i | 0.111370 | + | 0.162434i | |||||
−2.63458e10 | + | 9.58908e9i | −1.45227 | + | 0.528583i | −0.943224 | − | 0.332158i | ||
−0.509045 | + | 0.860740i | ||||||||
−6.53001e9 | + | 3.77010e9i | −0.356060 | + | 0.205571i | |||||
−1.32708e10 | − | 2.40683e10i | −0.715802 | − | 1.29819i | |||||
9.83314e9 | − | 1.70315e10i | 0.524669 | − | 0.908753i | |||||
−1.57391e8 | − | 2.77523e7i | −0.00830777 | − | 0.00146488i | |||||
1.53917e10 | − | 3.96216e9i | 0.803736 | − | 0.206900i | |||||
1.95992e10 | + | 7.13352e9i | 1.01252 | + | 0.368526i | 0.794399 | − | 0.607396i | ||
0.218118 | + | 0.975922i | ||||||||
−2.23588e9 | + | 3.94247e8i | −0.114278 | + | 0.0201503i | |||||
−1.84406e10 | + | 8.37893e9i | −0.932504 | + | 0.423705i | |||||
−4.39774e8 | − | 3.69014e8i | −0.0220028 | − | 0.0184625i | |||||
− | 2.86005e10i | − | 1.41582i | |||||||
1.10716e10 | + | 2.56989e10i | 0.542305 | + | 1.25877i | |||||
−9.38168e9 | −0.454699 | −0.227350 | − | 0.973813i | ||||||
−0.227350 | + | 0.973813i | ||||||||
−3.64718e9 | + | 4.34654e9i | −0.174913 | + | 0.208453i | |||||
−7.34509e9 | + | 1.02731e10i | −0.348576 | + | 0.487529i | |||||
3.77336e8 | + | 2.13998e9i | 0.0177204 | + | 0.100498i | |||||
−1.93666e9 | + | 5.32094e9i | −0.0900034 | + | 0.247282i | −0.976525 | − | 0.215405i | ||
0.886521 | + | 0.462688i | ||||||||
1.85138e9 | + | 5.15667e8i | 0.0851472 | + | 0.0237162i | |||||
3.31428e9 | − | 1.87962e10i | 0.150851 | − | 0.855516i | |||||
−1.14211e9 | − | 6.59398e8i | −0.0514469 | − | 0.0297029i | |||||
1.84519e10 | − | 2.88011e9i | 0.822614 | − | 0.128400i | |||||
8.69285e9 | + | 1.50564e10i | 0.383562 | + | 0.664348i | |||||
−6.25611e9 | − | 1.71885e10i | −0.273216 | − | 0.750655i | −0.998090 | − | 0.0617737i | ||
0.724874 | − | 0.688881i | ||||||||
1.89258e10 | + | 9.05321e9i | 0.818082 | + | 0.391331i | |||||
−1.04982e10 | + | 8.80906e9i | −0.449168 | + | 0.376897i | |||||
−1.47957e10 | − | 1.76328e10i | −0.626600 | − | 0.746753i | |||||
−1.69814e10 | + | 1.31732e9i | −0.711873 | + | 0.0552231i | |||||
2.41533e10 | − | 8.79109e9i | 1.00229 | − | 0.364802i | |||||
3.94053e9 | − | 2.27507e9i | 0.161870 | − | 0.0934557i | |||||
−5.35523e9 | + | 1.83054e9i | −0.217770 | + | 0.0744386i | |||||
−2.05364e10 | + | 3.55700e10i | −0.826726 | + | 1.43193i | 0.0738664 | + | 0.997268i | ||
−0.900593 | + | 0.434664i | ||||||||
5.65988e9 | + | 9.97990e8i | 0.225567 | + | 0.0397735i | |||||
−1.92244e10 | − | 1.96068e10i | −0.758511 | − | 0.773599i | |||||
−3.12280e8 | − | 1.13661e8i | −0.0121985 | − | 0.00443987i | |||||
5.68533e9 | − | 1.00248e9i | 0.219876 | − | 0.0387701i | −0.0626247 | − | 0.998037i | ||
0.282501 | + | 0.959267i | ||||||||
6.59858e8 | − | 6.77332e9i | 0.0252666 | − | 0.259357i | |||||
4.41759e10 | + | 3.70680e10i | 1.67481 | + | 1.40533i | |||||
− | 1.98123e10i | − | 0.743719i | |||||||
1.76159e10 | − | 1.93889e10i | 0.654763 | − | 0.720666i | |||||
4.00308e10 | 1.47330 | |||||||||
−1.23731e10 | + | 1.47456e10i | −0.450920 | + | 0.537386i | |||||
3.47654e9 | + | 3.38685e8i | 0.125461 | + | 0.0122224i | |||||
−3.40118e9 | − | 1.92890e10i | −0.121545 | − | 0.689314i | −0.983300 | − | 0.181990i | ||
0.861756 | − | 0.507324i | ||||||||
9.86452e9 | − | 2.71025e10i | 0.349092 | − | 0.959123i | |||||
−1.67566e10 | + | 1.64298e10i | −0.587245 | + | 0.575792i | |||||
2.00329e8 | − | 1.13612e9i | 0.00695272 | − | 0.0394308i | |||||
6.26096e10 | + | 3.61477e10i | 2.15199 | + | 1.24245i | |||||
−2.24698e10 | + | 2.57318e10i | −0.764887 | + | 0.875929i | |||||
−1.18919e10 | − | 2.05974e10i | −0.400922 | − | 0.694417i | |||||
2.38498e9 | + | 6.55268e9i | 0.0796363 | + | 0.218799i | |||||
1.95101e9 | + | 2.51503e10i | 0.0645232 | + | 0.831760i | |||||
4.25433e9 | − | 3.56981e9i | 0.139356 | − | 0.116934i | |||||
−4.21037e9 | − | 5.01772e9i | −0.136604 | − | 0.162798i | 0.693405 | − | 0.720548i | ||
−0.830010 | + | 0.557749i | ||||||||
−1.26714e10 | + | 2.64897e10i | −0.407218 | + | 0.851293i | |||||
−4.93249e10 | + | 1.79528e10i | −1.57014 | + | 0.571483i | −0.973030 | − | 0.230678i | ||
−0.597107 | + | 0.802162i | ||||||||
−2.06631e10 | + | 1.19298e10i | −0.651547 | + | 0.376171i | |||||
−2.42609e9 | − | 9.37534e8i | −0.0757785 | − | 0.0292837i | |||||
−2.48651e7 | + | 4.30675e7i | −0.000769353 | + | 0.00133256i | |||||
−5.94825e8 | − | 1.04884e8i | −0.0182320 | − | 0.00321479i | |||||
−6.93697e9 | + | 2.49055e10i | −0.210636 | + | 0.756236i | |||||
−1.68653e10 | − | 6.13846e9i | −0.507320 | − | 0.184649i | |||||
−1.65120e9 | + | 2.91152e8i | −0.0492068 | + | 0.00867649i | |||||
−1.67042e10 | − | 1.19432e10i | −0.493170 | − | 0.352609i | |||||
1.50127e10 | + | 1.25971e10i | 0.439120 | + | 0.368466i | |||||
5.46765e9i | 0.158450i | 0.996857 | + | 0.0792248i | ||||||
−0.996857 | + | 0.0792248i | ||||||||
8.69263e9 | − | 5.02339e8i | 0.249584 | − | 0.0144232i | |||||
5.74008e10 | 1.63292 | 0.816462 | − | 0.577399i | ||||||
0.816462 | + | 0.577399i | ||||||||
−5.18824e10 | + | 6.18310e10i | −1.46238 | + | 1.74280i | |||||
−1.55028e10 | − | 3.41190e10i | −0.432965 | − | 0.952882i | |||||
8.20751e8 | + | 4.65471e9i | 0.0227125 | + | 0.128809i | |||||
1.14655e10 | − | 3.15012e10i | 0.314389 | − | 0.863777i | |||||
−2.95648e9 | − | 1.14849e10i | −0.0803300 | − | 0.312055i | |||||
4.09034e8 | − | 2.31975e9i | 0.0110129 | − | 0.0624572i | −0.978806 | − | 0.204789i | ||
0.989819 | + | 0.142332i | ||||||||
−5.14329e9 | − | 2.96948e9i | −0.137224 | − | 0.0792263i | |||||
−8.92692e10 | − | 5.39110e10i | −2.36019 | − | 1.42536i | |||||
6.33697e9 | + | 1.09760e10i | 0.166032 | + | 0.287577i | |||||
−9.87952e8 | − | 2.71438e9i | −0.0256520 | − | 0.0704782i | 0.926206 | − | 0.377019i | ||
−0.951858 | + | 0.306540i | ||||||||
2.44252e10 | − | 1.67467e10i | 0.628502 | − | 0.430922i | |||||
−1.58703e10 | + | 1.33167e10i | −0.404710 | + | 0.339592i | |||||
−4.52051e9 | − | 5.38733e9i | −0.114248 | − | 0.136155i | |||||
1.32354e10 | + | 1.93039e10i | 0.331517 | + | 0.483520i | |||||
−9.17149e9 | + | 3.33815e9i | −0.227682 | + | 0.0828693i | |||||
−1.65503e10 | + | 9.55529e9i | −0.407211 | + | 0.235103i | −0.689591 | − | 0.724199i | ||
0.282380 | + | 0.959303i | ||||||||
−1.50532e9 | − | 2.96502e7i | −0.0367096 | − | 0.000723067i | |||||
−1.41150e10 | + | 2.44479e10i | −0.341174 | + | 0.590930i | |||||
−7.23003e9 | − | 1.27485e9i | −0.173215 | − | 0.0305426i | |||||
6.88595e10 | − | 1.77260e10i | 1.63520 | − | 0.420937i | |||||
1.76093e10 | + | 6.40927e9i | 0.414495 | + | 0.150864i | |||||
−1.04926e11 | + | 1.85014e10i | −2.44816 | + | 0.431676i | |||||
−7.77898e9 | + | 3.53456e9i | −0.179913 | + | 0.0817479i | |||||
1.70069e10 | + | 1.42705e10i | 0.389907 | + | 0.327171i | 0.816577 | − | 0.577237i | ||
−0.426670 | + | 0.904407i | ||||||||
2.08446e9i | 0.0473731i | |||||||||
1.54005e10 | − | 3.64261e9i | 0.346963 | − | 0.0820658i | |||||
−3.58488e10 | −0.800651 | |||||||||
1.08079e10 | − | 1.28803e10i | 0.239297 | − | 0.285183i | −0.633008 | − | 0.774145i | ||
0.872305 | + | 0.488963i | ||||||||
1.67164e10 | − | 2.33801e10i | 0.366924 | − | 0.513191i | |||||
3.11709e9 | + | 1.76779e10i | 0.0678305 | + | 0.384686i | 0.999757 | + | 0.0220390i | ||
−0.931927 | + | 0.362647i | ||||||||
4.26027e9 | − | 1.17050e10i | 0.0919105 | − | 0.252522i | |||||
7.27922e10 | + | 2.02749e10i | 1.55694 | + | 0.433658i | |||||
3.72270e9 | − | 2.11125e10i | 0.0789432 | − | 0.447709i | |||||
1.26576e10 | + | 7.30789e9i | 0.266125 | + | 0.153647i | 0.627125 | − | 0.778918i | ||
−0.361000 | + | 0.932566i | ||||||||
1.98269e10 | + | 2.45967e10i | 0.413306 | + | 0.512736i | |||||
1.72805e10 | + | 2.99308e10i | 0.357163 | + | 0.618624i | |||||
−9.33509e8 | − | 2.56480e9i | −0.0191305 | − | 0.0525607i | |||||
3.63651e10 | + | 1.73953e10i | 0.738926 | + | 0.353467i | |||||
1.72328e10 | − | 1.44600e10i | 0.347206 | − | 0.291340i | |||||
−1.23299e10 | − | 1.46942e10i | −0.246328 | − | 0.293562i | |||||
6.83141e9 | − | 5.29942e8i | 0.135331 | − | 0.0104982i | |||||
1.38836e9 | − | 5.05323e8i | 0.0272727 | − | 0.00992646i | |||||
−1.53626e10 | + | 8.86958e9i | −0.299251 | + | 0.172773i | |||||
−4.34861e7 | + | 2.21070e8i | −0.000839996 | + | 0.00427029i | |||||
−3.75196e8 | + | 6.49858e8i | −0.00718698 | + | 0.0124482i | |||||
−9.35117e9 | − | 1.64886e9i | −0.177633 | − | 0.0313215i | 0.0841240 | − | 0.996455i | ||
−0.261757 | + | 0.965134i | ||||||||
6.39701e9 | + | 6.52426e9i | 0.120507 | + | 0.122904i | |||||
1.00974e11 | + | 3.67516e10i | 1.88638 | + | 0.686587i | |||||
4.88646e10 | − | 8.61614e9i | 0.905328 | − | 0.159634i | |||||
1.68217e10 | − | 1.72672e11i | 0.309088 | − | 3.17273i | |||||
−1.65657e10 | − | 1.39003e10i | −0.301876 | − | 0.253304i | |||||
8.26577e10i | 1.49388i | |||||||||
3.65296e10 | − | 1.48918e10i | 0.654787 | − | 0.266934i | |||||
−1.09510e11 | −1.94687 | −0.973435 | − | 0.228964i | ||||||
−0.973435 | + | 0.228964i | ||||||||
−3.58976e9 | + | 4.27811e9i | −0.0632975 | + | 0.0754350i | |||||
−5.27155e10 | − | 5.13555e9i | −0.921941 | − | 0.0898156i | |||||
−1.90033e10 | − | 1.07773e11i | −0.329644 | − | 1.86950i | |||||
−1.59722e10 | + | 4.38833e10i | −0.274814 | + | 0.755045i | 0.723116 | + | 0.690727i | ||
−0.997929 | + | 0.0643180i | ||||||||
3.10122e10 | − | 3.04074e10i | 0.529264 | − | 0.518942i | |||||
3.93129e9 | − | 2.22954e10i | 0.0665498 | − | 0.377423i | |||||
−2.68486e10 | − | 1.55011e10i | −0.450831 | − | 0.260288i | |||||
−2.64011e10 | − | 5.19328e9i | −0.439745 | − | 0.0865009i | |||||
1.25578e10 | + | 2.17507e10i | 0.207485 | + | 0.359374i | |||||
−4.49062e10 | − | 1.23379e11i | −0.736005 | − | 2.02216i | |||||
−2.77004e9 | − | 3.57082e10i | −0.0450369 | − | 0.580565i | |||||
−1.51236e10 | + | 1.26902e10i | −0.243923 | + | 0.204676i | −0.756550 | − | 0.653936i | ||
0.512627 | + | 0.858611i | ||||||||
−2.05742e10 | − | 2.45194e10i | −0.329188 | − | 0.392311i | |||||
4.33873e10 | − | 9.07018e10i | 0.688672 | − | 1.43968i | |||||
−6.40083e10 | + | 2.32971e10i | −1.00791 | + | 0.366849i | |||||
1.03427e11 | − | 5.97137e10i | 1.61571 | − | 0.932828i | 0.627692 | − | 0.778462i | ||
0.988014 | − | 0.154367i | ||||||||
−3.44269e10 | + | 2.77509e10i | −0.533551 | + | 0.430085i | |||||
4.70972e10 | − | 8.15748e10i | 0.724152 | − | 1.25427i | |||||
3.45552e10 | + | 6.09302e9i | 0.527123 | + | 0.0929459i | |||||
−1.30286e10 | + | 4.67760e10i | −0.197181 | + | 0.707931i | |||||
−1.87531e10 | − | 6.82556e9i | −0.281590 | − | 0.102491i | |||||
−4.55739e10 | + | 8.03591e9i | −0.678962 | + | 0.119719i | −0.502486 | − | 0.864586i | ||
−0.176476 | + | 0.984305i | ||||||||
1.35092e10 | + | 9.65886e9i | 0.199686 | + | 0.142773i | |||||
4.61370e10 | + | 3.87135e10i | 0.676652 | + | 0.567778i | |||||
3.03700e9i | 0.0441942i | |||||||||
−2.81693e10 | + | 2.65523e10i | −0.406731 | + | 0.383383i | |||||
9.70900e10 | 1.39098 | |||||||||
3.52559e9 | − | 4.20164e9i | 0.0501191 | − | 0.0597296i | |||||
1.22081e10 | + | 2.68681e10i | 0.172207 | + | 0.378999i | |||||
4.63900e8 | + | 2.63091e9i | 0.00649326 | + | 0.0368251i | |||||
−5.14395e10 | + | 1.41329e11i | −0.714460 | + | 1.96296i | |||||
−9.26496e9 | − | 3.59913e10i | −0.127695 | − | 0.496053i | |||||
−5.75698e9 | + | 3.26494e10i | −0.0787374 | + | 0.446542i | |||||
−1.06319e11 | − | 6.13835e10i | −1.44298 | − | 0.833106i | −0.444935 | − | 0.895563i | ||
−0.998048 | + | 0.0624566i | ||||||||
1.11136e9 | − | 5.64230e10i | 0.0149683 | − | 0.759931i | |||||
8.51271e9 | + | 1.47445e10i | 0.113779 | + | 0.197071i | 0.917291 | − | 0.398218i | ||
−0.803512 | + | 0.595288i | ||||||||
−9.20560e9 | − | 2.52922e10i | −0.122103 | − | 0.335476i | |||||
6.30632e9 | − | 4.32382e9i | 0.0830116 | − | 0.0569154i | |||||
3.13980e10 | − | 2.63460e10i | 0.410165 | − | 0.344169i | |||||
2.93420e10 | + | 3.49684e10i | 0.380406 | + | 0.453350i | |||||
−5.05729e9 | − | 7.37610e9i | −0.0650702 | − | 0.0949054i | |||||
1.25439e11 | − | 4.56560e10i | 1.60181 | − | 0.583009i | |||||
−2.04758e8 | + | 1.18217e8i | −0.00259500 | + | 0.00149823i | |||||
5.26880e10 | − | 8.72440e10i | 0.662725 | − | 1.09738i | |||||
2.16961e10 | − | 3.75788e10i | 0.270855 | − | 0.469134i | |||||
1.55195e11 | + | 2.73650e10i | 1.92295 | + | 0.339068i | |||||
−3.02125e10 | + | 7.77737e9i | −0.371553 | + | 0.0956462i | |||||
−7.49077e9 | − | 2.72642e9i | −0.0914347 | − | 0.0332795i | |||||
1.05908e10 | − | 1.86745e9i | 0.128313 | − | 0.0226250i | |||||
−3.33886e10 | + | 1.51709e10i | −0.401515 | + | 0.182438i | |||||
−2.59787e10 | − | 2.17987e10i | −0.310090 | − | 0.260197i | |||||
1.07114e11i | 1.26909i | |||||||||
3.69851e10 | + | 1.85956e10i | 0.434962 | + | 0.218693i | |||||
−4.41827e10 | −0.515778 | −0.257889 | − | 0.966175i | ||||||
−0.257889 | + | 0.966175i | ||||||||
2.95483e10 | − | 3.52143e10i | 0.342401 | − | 0.408058i | |||||
−6.10720e10 | + | 8.54172e10i | −0.702495 | + | 0.982530i | |||||
9.58504e8 | + | 5.43595e9i | 0.0109446 | + | 0.0620697i | |||||
−7.68571e9 | + | 2.11163e10i | −0.0871161 | + | 0.239349i | |||||
−1.54560e11 | − | 4.30499e10i | −1.73911 | − | 0.484397i | |||||
−1.14275e10 | + | 6.48085e10i | −0.127644 | + | 0.723907i | 0.852058 | + | 0.523448i | ||
−0.979702 | + | 0.200459i | ||||||||
−3.21161e10 | − | 1.85422e10i | −0.356123 | − | 0.205608i | |||||
−9.12031e9 | + | 2.36010e10i | −0.100397 | + | 0.259801i | |||||
7.73228e8 | + | 1.33927e9i | 0.00845001 | + | 0.0146358i | |||||
1.89407e10 | + | 5.20391e10i | 0.205489 | + | 0.564577i | |||||
−4.86989e10 | − | 2.32952e10i | −0.524521 | − | 0.250905i | |||||
−2.66564e10 | + | 2.23674e10i | −0.285037 | + | 0.239174i | |||||
2.09992e10 | + | 2.50258e10i | 0.222927 | + | 0.265674i | |||||
1.40378e11 | − | 1.08897e10i | 1.47954 | − | 0.114775i | |||||
−3.74590e10 | + | 1.36340e10i | −0.391974 | + | 0.142667i | |||||
−1.45491e11 | + | 8.39991e10i | −1.51152 | + | 0.872678i | −0.511613 | + | 0.859216i | ||
−0.999909 | + | 0.0134620i | ||||||||
8.57097e10 | + | 7.48442e10i | 0.884084 | + | 0.772008i | |||||
−5.35396e10 | + | 9.27333e10i | −0.548312 | + | 0.949705i | |||||
−4.56980e10 | − | 8.05779e9i | −0.464670 | − | 0.0819339i | |||||
−1.13800e10 | − | 1.16064e10i | −0.114893 | − | 0.117178i | |||||
−3.68134e10 | − | 1.33990e10i | −0.369029 | − | 0.134315i | |||||
−4.17694e10 | + | 7.36508e9i | −0.415743 | + | 0.0733067i | −0.377607 | − | 0.925966i | ||
−0.0381357 | + | 0.999273i | ||||||||
3.98523e8 | − | 4.09076e9i | 0.00393855 | − | 0.0404285i | |||||
−2.67383e10 | − | 2.24361e10i | −0.262386 | − | 0.220168i | |||||
− | 7.49484e10i | − | 0.730293i | |||||||
−1.06924e11 | + | 1.69419e11i | −1.03453 | + | 1.63919i | |||||
−4.08550e10 | −0.392511 | |||||||||
4.96494e9 | − | 5.91699e9i | 0.0473658 | − | 0.0564484i | −0.741841 | − | 0.670575i | ||
0.789207 | + | 0.614127i | ||||||||
−4.04314e10 | − | 3.93883e9i | −0.383018 | − | 0.0373136i | |||||
−1.20307e9 | − | 6.82293e9i | −0.0113174 | − | 0.0641839i | 0.978626 | − | 0.205648i | ||
−0.989943 | + | 0.141464i | ||||||||
1.10985e10 | − | 3.04928e10i | 0.103676 | − | 0.284848i | |||||
−1.11085e10 | + | 1.08919e10i | −0.103048 | + | 0.101038i | |||||
−3.83016e10 | + | 2.17219e11i | −0.352833 | + | 2.00102i | |||||
8.08412e9 | + | 4.66737e9i | 0.0739540 | + | 0.0426973i | |||||
4.45046e9 | + | 1.30198e10i | 0.0404310 | + | 0.118281i | |||||
3.42329e9 | + | 5.92932e9i | 0.0308845 | + | 0.0534936i | 0.881055 | − | 0.473015i | ||
−0.850170 | + | 0.526508i | ||||||||
−2.35615e10 | − | 6.47348e10i | −0.211102 | − | 0.579998i | |||||
−7.30252e8 | − | 9.41358e9i | −0.00649769 | − | 0.0837608i | |||||
4.53660e10 | − | 3.80666e10i | 0.400884 | − | 0.336382i | |||||
1.16916e11 | + | 1.39335e11i | 1.02605 | + | 1.22280i | |||||
−5.37125e10 | + | 1.12287e11i | −0.468148 | + | 0.978669i | |||||
2.17462e8 | − | 7.91498e7i | 0.00188239 | − | 0.000685134i | |||||
1.62299e10 | − | 9.37035e9i | 0.139529 | − | 0.0805572i | |||||
2.31644e10 | + | 1.48406e11i | 0.197787 | + | 1.26715i | |||||
−1.30310e10 | + | 2.25703e10i | −0.110506 | + | 0.191403i | |||||
1.17881e11 | + | 2.07856e10i | 0.992867 | + | 0.175069i | 0.646405 | − | 0.762995i | ||
0.346462 | + | 0.938064i | ||||||||
4.42178e10 | − | 1.58753e11i | 0.369903 | − | 1.32805i | |||||
−1.04927e11 | − | 3.81903e10i | −0.871819 | − | 0.317316i | |||||
1.05328e11 | − | 1.85722e10i | 0.869233 | − | 0.153269i | |||||
1.49696e11 | + | 1.07030e11i | 1.22704 | + | 0.877317i | |||||
3.58501e10 | + | 3.00818e10i | 0.291879 | + | 0.244916i | |||||
− | 1.43481e11i | − | 1.16031i | −0.814506 | − | 0.580155i | ||||
0.814506 | − | 0.580155i | ||||||||
−3.24899e10 | − | 2.42107e10i | −0.260977 | − | 0.194474i | |||||
−8.43382e10 | −0.672910 | |||||||||
−2.37744e10 | + | 2.83332e10i | −0.188419 | + | 0.224549i | |||||
1.70213e10 | + | 3.74611e10i | 0.133997 | + | 0.294906i | |||||
−3.40131e10 | − | 1.92898e11i | −0.265976 | − | 1.50842i | |||||
3.73399e10 | − | 1.02591e11i | 0.290046 | − | 0.796894i | −0.706013 | − | 0.708199i | ||
0.996059 | − | 0.0886950i | ||||||||
−5.93133e8 | − | 2.30412e9i | −0.00457665 | − | 0.0177787i | |||||
1.76969e9 | − | 1.00364e10i | 0.0135644 | − | 0.0769275i | −0.977274 | − | 0.211979i | ||
0.990839 | + | 0.135052i | ||||||||
−1.29795e11 | − | 7.49370e10i | −0.988260 | − | 0.570572i | |||||
4.26668e10 | − | 2.35258e10i | 0.322716 | − | 0.177940i | |||||
5.61813e10 | + | 9.73088e10i | 0.422128 | + | 0.731147i | |||||
−3.51640e10 | − | 9.66124e10i | −0.262468 | − | 0.721126i | |||||
1.16988e11 | − | 8.02109e10i | 0.867464 | − | 0.594761i | |||||
−6.80673e10 | + | 5.71152e10i | −0.501399 | + | 0.420724i | −0.858090 | − | 0.513499i | ||
0.356691 | + | 0.934222i | ||||||||
−8.67902e9 | − | 1.03433e10i | −0.0635121 | − | 0.0756908i | |||||
1.62067e11 | + | 2.36376e11i | 1.17822 | + | 1.71844i | |||||
−2.49503e10 | + | 9.08116e9i | −0.180201 | + | 0.0655876i | |||||
1.29151e10 | − | 7.45656e9i | 0.0926690 | − | 0.0535025i | |||||
1.20751e10 | + | 2.18996e10i | 0.0860764 | + | 0.156110i | |||||
4.78807e10 | − | 8.29318e10i | 0.339093 | − | 0.587326i | −0.645170 | − | 0.764039i | ||
0.984262 | + | 0.176713i | ||||||||
8.76166e10 | + | 1.54492e10i | 0.616472 | + | 0.108701i | |||||
1.99973e11 | − | 5.14775e10i | 1.39788 | − | 0.359846i | |||||
4.26795e10 | + | 1.55341e10i | 0.296412 | + | 0.107885i | |||||
−1.02462e11 | + | 1.80668e10i | −0.707004 | + | 0.124664i | −0.515577 | − | 0.856843i | ||
−0.191427 | + | 0.981507i | ||||||||
7.51965e9 | − | 3.41673e9i | 0.0515518 | − | 0.0234238i | |||||
−8.74309e10 | − | 7.33632e10i | −0.595528 | − | 0.499708i | 0.294477 | − | 0.955659i | ||
−0.890005 | + | 0.455951i | ||||||||
1.19408e11i | 0.808105i | |||||||||
−2.42912e11 | − | 2.85038e10i | −1.63336 | − | 0.191662i | |||||
2.74094e10 | 0.183121 | |||||||||
1.01841e11 | − | 1.21369e11i | 0.676034 | − | 0.805666i | |||||
−2.90368e10 | + | 4.06117e10i | −0.191518 | + | 0.267863i | |||||
−2.50493e10 | − | 1.42062e11i | −0.164163 | − | 0.931016i | |||||
2.92845e10 | − | 8.04585e10i | 0.190695 | − | 0.523931i | |||||
3.83030e10 | + | 1.06686e10i | 0.247835 | + | 0.0690298i | |||||
−1.10618e10 | + | 6.27344e10i | −0.0711190 | + | 0.403336i | |||||
7.36624e10 | + | 4.25290e10i | 0.470590 | + | 0.271695i | |||||
−2.07718e11 | + | 3.24222e10i | −1.31859 | + | 0.205817i | |||||
−8.73812e10 | − | 1.51349e11i | −0.551189 | − | 0.954688i | −0.998189 | − | 0.0601538i | ||
0.447000 | − | 0.894534i | ||||||||
3.70331e9 | + | 1.01748e10i | 0.0232125 | + | 0.0637757i | |||||
−1.54099e11 | − | 7.37136e10i | −0.959811 | − | 0.459127i | |||||
−1.14557e11 | + | 9.61249e10i | −0.709031 | + | 0.594948i | |||||
−6.09882e10 | − | 7.26829e10i | −0.375103 | − | 0.447031i | |||||
−3.54974e8 | + | 2.75369e7i | −0.00216954 | + | 0.000168301i | |||||
5.61884e11 | − | 2.04509e11i | 3.41263 | − | 1.24209i | |||||
−5.01990e10 | + | 2.89824e10i | −0.302979 | + | 0.174925i | |||||
−1.75148e11 | + | 5.98694e10i | −1.05051 | + | 0.359089i | |||||
−7.21948e9 | + | 1.25045e10i | −0.0430315 | + | 0.0745327i | |||||
7.99764e9 | + | 1.41020e9i | 0.0473729 | + | 0.00835312i | 0.197284 | − | 0.980346i | ||
−0.149911 | + | 0.988699i | ||||||||
−8.40418e9 | − | 8.57134e9i | −0.0494715 | − | 0.0504555i | |||||
1.09381e11 | + | 3.98115e10i | 0.639880 | + | 0.232897i | 0.641526 | − | 0.767101i | ||
−0.00164564 | + | 0.999999i | ||||||||
2.69991e11 | − | 4.76067e10i | 1.56966 | − | 0.276773i | |||||
−1.36044e10 | + | 1.39647e11i | −0.0786035 | + | 0.806851i | |||||
−1.87991e10 | − | 1.57743e10i | −0.107946 | − | 0.0905774i | |||||
2.68470e11i | 1.53207i | 0.642800 | + | 0.766034i | ||||||
−0.642800 | + | 0.766034i | ||||||||
3.81587e10 | + | 4.92948e10i | 0.216418 | + | 0.279577i | |||||
−1.04684e11 | −0.590067 | |||||||||
5.54906e9 | − | 6.61311e9i | 0.0310861 | − | 0.0370469i | |||||
−5.75150e11 | − | 5.60312e10i | −3.20227 | − | 0.311965i | |||||
−1.45340e10 | − | 8.24264e10i | −0.0804257 | − | 0.456117i | |||||
1.68626e10 | − | 4.63295e10i | 0.0927408 | − | 0.254803i | −0.884646 | − | 0.466264i | ||
0.977387 | + | 0.211461i | ||||||||
−2.41625e10 | + | 2.36912e10i | −0.132078 | + | 0.129502i | |||||
2.22209e10 | − | 1.26021e11i | 0.120725 | − | 0.684665i | |||||
5.94386e10 | + | 3.43169e10i | 0.320962 | + | 0.185307i | |||||
5.58471e10 | − | 6.39547e10i | 0.299736 | − | 0.343250i | |||||
1.04366e10 | + | 1.80768e10i | 0.0556745 | + | 0.0964311i | |||||
−5.50314e10 | − | 1.51198e11i | −0.291789 | − | 0.801684i | −0.995805 | − | 0.0914998i | ||
0.704016 | − | 0.710184i | ||||||||
−3.28856e9 | − | 4.23923e10i | −0.0173312 | − | 0.223415i | |||||
−1.27976e10 | + | 1.07385e10i | −0.0670384 | + | 0.0562519i | −0.675691 | − | 0.737185i | ||
0.608653 | + | 0.793437i | ||||||||
1.32180e11 | + | 1.57526e11i | 0.688231 | + | 0.820201i | |||||
−3.91557e10 | + | 8.18555e10i | −0.202647 | + | 0.423637i | |||||
5.31841e10 | − | 1.93574e10i | 0.273596 | − | 0.0995807i | |||||
1.78663e11 | − | 1.03151e11i | 0.913583 | − | 0.527457i | |||||
1.97773e11 | + | 7.64271e10i | 1.00524 | + | 0.388464i | |||||
−1.74944e11 | + | 3.03012e11i | −0.883884 | + | 1.53093i | |||||
1.56472e11 | + | 2.75902e10i | 0.785833 | + | 0.138564i | |||||
1.35098e10 | − | 4.85037e10i | 0.0674443 | − | 0.242142i | |||||
4.80458e10 | + | 1.74872e10i | 0.238427 | + | 0.0867804i | |||||
2.55934e10 | − | 4.51281e9i | 0.126252 | − | 0.0222616i | |||||
−5.68424e10 | − | 4.06415e10i | −0.278738 | − | 0.199293i | |||||
1.65026e11 | + | 1.38473e11i | 0.804435 | + | 0.675001i | 0.949273 | − | 0.314455i | ||
−0.144838 | + | 0.989455i | ||||||||
− | 1.68415e11i | − | 0.816094i | |||||||
−5.91929e9 | − | 9.00872e9i | −0.0285138 | − | 0.0433959i | |||||
−7.67313e10 | −0.367439 | |||||||||
1.44588e11 | − | 1.72314e11i | 0.688302 | − | 0.820286i | −0.302847 | − | 0.953039i | ||
0.991149 | + | 0.132753i | ||||||||
−2.17433e10 | − | 4.78535e10i | −0.102898 | − | 0.226462i | |||||
−1.09768e11 | − | 6.22526e11i | −0.516413 | − | 2.92873i | |||||
−8.97567e9 | + | 2.46605e10i | −0.0419789 | + | 0.115336i | |||||
3.34465e10 | + | 1.29928e11i | 0.155511 | + | 0.604109i | |||||
2.02952e10 | − | 1.15100e11i | 0.0938113 | − | 0.532030i | |||||
−2.85374e11 | − | 1.64761e11i | −1.31139 | − | 0.757131i | −0.329063 | − | 0.944308i | ||
−0.982326 | + | 0.187177i | ||||||||
−5.23646e10 | − | 3.16238e10i | −0.239229 | − | 0.144474i | |||||
−8.81563e10 | − | 1.52691e11i | −0.400397 | − | 0.693508i | |||||
1.82426e11 | + | 5.01211e11i | 0.823740 | + | 2.26321i | |||||
−1.23084e10 | + | 8.43904e9i | −0.0552554 | + | 0.0378849i | |||||
−3.57249e10 | + | 2.99768e10i | −0.159447 | + | 0.133792i | |||||
−8.30386e8 | − | 9.89615e8i | −0.00368471 | − | 0.00439126i | |||||
−1.45136e11 | − | 2.11681e11i | −0.640291 | − | 0.933869i | |||||
−2.25153e10 | + | 8.19488e9i | −0.0987563 | + | 0.0359443i | −0.390926 | − | 0.920422i | ||
0.292169 | + | 0.956367i | ||||||||
5.08611e10 | − | 2.93647e10i | 0.221800 | − | 0.128056i | |||||
2.05733e11 | + | 4.05231e9i | 0.892013 | + | 0.0175699i | |||||
−1.39393e11 | + | 2.41435e11i | −0.600899 | + | 1.04079i | |||||
−1.86644e11 | − | 3.29103e10i | −0.799970 | − | 0.141056i | |||||
8.63640e10 | − | 2.22320e10i | 0.368041 | − | 0.0947419i | |||||
1.17220e11 | + | 4.26647e10i | 0.496674 | + | 0.180775i | |||||
2.26710e11 | − | 3.99752e10i | 0.955102 | − | 0.168410i | |||||
1.39737e11 | − | 6.34930e10i | 0.585334 | − | 0.265960i | |||||
9.25608e9 | + | 7.76677e9i | 0.0385509 | + | 0.0323481i | |||||
− | 4.21785e11i | − | 1.74670i | −0.487091 | − | 0.873351i | ||||
0.487091 | − | 0.873351i | ||||||||
−6.49693e10 | + | 2.16656e11i | −0.267522 | + | 0.892116i | |||||
−2.08063e11 | −0.851869 | |||||||||
9.08430e9 | − | 1.08262e10i | 0.0369829 | − | 0.0440745i | |||||
1.13653e10 | − | 1.58959e10i | 0.0460072 | − | 0.0643471i | |||||
2.00445e10 | + | 1.13678e11i | 0.0806821 | + | 0.457571i | |||||
−2.46377e11 | + | 6.76915e11i | −0.986104 | + | 2.70930i | |||||
1.55152e11 | + | 4.32147e10i | 0.617481 | + | 0.171988i | |||||
−1.96979e10 | + | 1.11712e11i | −0.0779533 | + | 0.442095i | 0.920703 | + | 0.390265i | ||
−0.998656 | + | 0.0518302i | ||||||||
−1.68216e11 | − | 9.71195e10i | −0.661963 | − | 0.382185i | |||||
3.07865e10 | + | 3.81928e10i | 0.120471 | + | 0.149453i | |||||
−2.46498e10 | − | 4.26948e10i | −0.0959167 | − | 0.166133i | |||||
−2.41289e11 | − | 6.62937e11i | −0.933642 | − | 2.56516i | |||||
−1.14570e11 | − | 5.48045e10i | −0.440835 | − | 0.210874i | |||||
1.18184e11 | − | 9.91678e10i | 0.452203 | − | 0.379443i | |||||
−3.72517e10 | − | 4.43949e10i | −0.141741 | − | 0.168920i | |||||
−5.35630e9 | + | 4.15511e8i | −0.0202670 | + | 0.00157219i | |||||
−1.83936e11 | + | 6.69473e10i | −0.692101 | + | 0.251904i | |||||
−1.50686e11 | + | 8.69985e10i | −0.563841 | + | 0.325534i | −0.754686 | − | 0.656086i | ||
0.190845 | + | 0.981620i | ||||||||
−1.26261e10 | + | 6.41871e10i | −0.0469827 | + | 0.238846i | |||||
−2.09729e10 | + | 3.63260e10i | −0.0776098 | + | 0.134424i | |||||
−1.30111e11 | − | 2.29421e10i | −0.478812 | − | 0.0844274i | |||||
2.48707e11 | + | 2.53654e11i | 0.910197 | + | 0.928301i | |||||
−1.55926e11 | − | 5.67523e10i | −0.567497 | − | 0.206552i | |||||
−1.51864e10 | + | 2.67778e9i | −0.0549672 | + | 0.00969220i | |||||
1.50118e10 | − | 1.54094e11i | 0.0540364 | − | 0.554674i | |||||
−2.31003e11 | − | 1.93835e11i | −0.826953 | − | 0.693896i | 0.127636 | − | 0.991821i | ||
−0.954589 | + | 0.297925i | ||||||||
− | 2.53540e11i | − | 0.902655i | |||||||
2.35826e11 | + | 1.55411e11i | 0.834990 | + | 0.550265i | |||||
8.90998e10 | 0.313751 | |||||||||
−5.44833e10 | + | 6.49307e10i | −0.190807 | + | 0.227395i | |||||
−3.97949e10 | − | 3.87682e9i | −0.138606 | − | 0.0135030i | |||||
5.67847e10 | + | 3.22042e11i | 0.196705 | + | 1.11557i | 0.909970 | + | 0.414675i | ||
−0.713265 | + | 0.700895i | ||||||||
1.08488e11 | − | 2.98069e11i | 0.373764 | − | 1.02691i | |||||
5.59447e11 | − | 5.48536e11i | 1.91694 | − | 1.87956i | |||||
1.48135e10 | − | 8.40117e10i | 0.0504832 | − | 0.286305i | |||||
−4.33399e10 | − | 2.50223e10i | −0.146899 | − | 0.0848119i | |||||
3.05105e11 | + | 6.00163e10i | 1.02855 | + | 0.202322i | |||||
−1.78330e11 | − | 3.08877e11i | −0.597925 | − | 1.03564i | −0.993127 | − | 0.117042i | ||
0.395202 | − | 0.918594i | ||||||||
7.60990e10 | + | 2.09080e11i | 0.253777 | + | 0.697246i | |||||
−1.71667e10 | − | 2.21293e11i | −0.0569395 | − | 0.733999i | |||||
1.38512e9 | − | 1.16225e9i | 0.00456954 | − | 0.00383430i | |||||
3.85547e11 | + | 4.59477e11i | 1.26509 | + | 1.50768i | 0.768749 | + | 0.639551i | ||
0.496343 | + | 0.868127i | ||||||||
−7.75937e10 | + | 1.62211e11i | −0.253241 | + | 0.529404i | |||||
−1.65241e11 | + | 6.01430e10i | −0.536406 | + | 0.195236i | |||||
−2.04356e11 | + | 1.17985e11i | −0.659831 | + | 0.380953i | |||||
1.99636e11 | − | 1.60923e11i | 0.641147 | − | 0.516815i | |||||
1.28432e10 | − | 2.22451e10i | 0.0410267 | − | 0.0710603i | |||||
6.00364e10 | + | 1.05860e10i | 0.190760 | + | 0.0336362i | |||||
6.14874e10 | − | 2.20755e11i | 0.194331 | − | 0.697696i | |||||
5.82770e11 | + | 2.12111e11i | 1.83205 | + | 0.666812i | 0.992302 | + | 0.123838i | ||
0.839749 | + | 0.542975i | ||||||||
6.39635e9 | − | 1.12785e9i | 0.0200014 | − | 0.00352679i | |||||
−3.96706e11 | − | 2.83639e11i | −1.23393 | − | 0.882239i | |||||
2.47875e11 | + | 2.07992e11i | 0.766915 | + | 0.643518i | |||||
5.34211e11i | 1.64409i | |||||||||
−3.03243e11 | − | 9.09347e10i | −0.928333 | − | 0.278383i | |||||
−1.73730e11 | −0.529042 | −0.264521 | − | 0.964380i | ||||||
−0.264521 | + | 0.964380i | ||||||||
6.82265e10 | − | 8.13092e10i | 0.206670 | − | 0.246299i | |||||
1.03920e11 | + | 2.28711e11i | 0.313136 | + | 0.689159i | |||||
−1.11472e10 | − | 6.32188e10i | −0.0334126 | − | 0.189492i | |||||
−1.65093e11 | + | 4.53591e11i | −0.492256 | + | 1.35246i | 0.406354 | + | 0.913716i | ||
−0.898610 | + | 0.438747i | ||||||||
−3.56189e10 | − | 1.38367e11i | −0.105648 | − | 0.410406i | |||||
2.98419e10 | − | 1.69242e11i | 0.0880496 | − | 0.499354i | |||||
−2.12909e10 | − | 1.22923e10i | −0.0624913 | − | 0.0360794i | |||||
−2.34145e9 | + | 1.18874e11i | −0.00683658 | + | 0.347089i | |||||
−3.20315e10 | − | 5.54802e10i | −0.0930384 | − | 0.161147i | |||||
1.99869e11 | + | 5.49136e11i | 0.577517 | + | 1.58671i | |||||
−1.79330e10 | + | 1.22954e10i | −0.0515475 | + | 0.0353427i | |||||
−4.15701e11 | + | 3.48815e11i | −1.18871 | + | 0.997446i | −0.188829 | + | 0.982010i | ||
−0.999881 | + | 0.0154358i | ||||||||
1.38801e11 | + | 1.65416e11i | 0.394847 | + | 0.470561i | |||||
3.93073e11 | + | 5.73300e11i | 1.11239 | + | 1.62243i | |||||
1.40207e10 | − | 5.10310e9i | 0.0394729 | − | 0.0143670i | |||||
1.22712e11 | − | 7.08481e10i | 0.343693 | − | 0.198431i | −0.318211 | − | 0.948020i | ||
0.661904 | + | 0.749589i | ||||||||
−1.09226e11 | + | 1.80864e11i | −0.304343 | + | 0.503950i | |||||
1.55465e10 | − | 2.69273e10i | 0.0430948 | − | 0.0746425i | |||||
−1.93708e11 | − | 3.41560e10i | −0.534197 | − | 0.0941934i | |||||
−1.04278e12 | + | 2.68435e11i | −2.86094 | + | 0.736470i | |||||
1.94466e11 | + | 7.07799e10i | 0.530793 | + | 0.193193i | |||||
−3.00502e11 | + | 5.29866e10i | −0.816014 | + | 0.143885i | |||||
−2.16097e11 | + | 9.81888e10i | −0.583808 | + | 0.265267i | |||||
1.45639e11 | + | 1.22206e11i | 0.391448 | + | 0.328464i | |||||
− | 1.55048e11i | − | 0.414610i | |||||||
3.37668e11 | − | 2.21869e11i | 0.898344 | − | 0.590268i | |||||
2.60419e11 | 0.689300 | |||||||||
−1.94676e11 | + | 2.32006e11i | −0.512666 | + | 0.610971i | |||||
1.12077e11 | − | 1.56754e11i | 0.293647 | − | 0.410704i | |||||
−5.17348e10 | − | 2.93403e11i | −0.134860 | − | 0.764830i | −0.974957 | − | 0.222394i | ||
0.840097 | − | 0.542437i | ||||||||
−9.94598e10 | + | 2.73264e11i | −0.257954 | + | 0.708724i | |||||
2.82685e11 | + | 7.87368e10i | 0.729449 | + | 0.203175i | |||||
−8.93922e9 | + | 5.06968e10i | −0.0229504 | + | 0.130158i | |||||
2.31171e11 | + | 1.33467e11i | 0.590511 | + | 0.340932i | |||||
2.30800e10 | − | 5.97249e10i | 0.0586590 | − | 0.151794i | |||||
−7.25373e10 | − | 1.25638e11i | −0.183429 | − | 0.317709i | |||||
−1.58932e11 | − | 4.36661e11i | −0.399879 | − | 1.09866i | |||||
−1.52703e9 | − | 7.30456e8i | −0.00382277 | − | 0.00182863i | |||||
−4.98098e10 | + | 4.17954e10i | −0.124069 | + | 0.104106i | |||||
−1.47296e11 | − | 1.75541e11i | −0.365055 | − | 0.435056i | 0.551983 | − | 0.833856i | ||
−0.917038 | + | 0.398799i | ||||||||
3.09735e11 | − | 2.40275e10i | 0.763797 | − | 0.0592511i | |||||
1.10929e10 | − | 4.03749e9i | 0.0272181 | − | 0.00990659i | |||||
3.25608e9 | − | 1.87990e9i | 0.00794940 | − | 0.00458959i | |||||
−1.68241e11 | − | 1.46913e11i | −0.408697 | − | 0.356886i | |||||
−3.26572e10 | + | 5.65640e10i | −0.0789372 | + | 0.136723i | |||||
−8.58847e10 | − | 1.51438e10i | −0.206564 | − | 0.0364227i | |||||
5.39044e10 | + | 5.49766e10i | 0.129003 | + | 0.131569i | |||||
1.22483e12 | + | 4.45801e11i | 2.91670 | + | 1.06159i | |||||
−6.42522e11 | + | 1.13294e11i | −1.52247 | + | 0.268452i | |||||
2.35419e10 | − | 2.41653e11i | 0.0555068 | − | 0.569768i | |||||
1.71709e11 | + | 1.44081e11i | 0.402854 | + | 0.338035i | |||||
− | 8.80448e10i | − | 0.205546i | −0.994705 | − | 0.102773i | ||||
0.994705 | − | 0.102773i | ||||||||
3.99320e10 | + | 2.93676e11i | 0.0927643 | + | 0.682226i | |||||
3.75493e8 | 0.000867998 | 0.000433999 | − | 1.00000i | ||||||
0.000433999 | 1.00000i | |||||||||
−2.91117e11 | + | 3.46939e11i | −0.669643 | + | 0.798049i | |||||
3.27562e11 | + | 3.19111e10i | 0.749776 | + | 0.0730432i | |||||
−3.78168e10 | − | 2.14470e11i | −0.0861366 | − | 0.488505i | |||||
1.36100e11 | − | 3.73931e11i | 0.308480 | − | 0.847543i | |||||
−2.82178e10 | + | 2.76675e10i | −0.0636448 | + | 0.0624036i | |||||
3.60036e10 | − | 2.04186e11i | 0.0808086 | − | 0.458288i | |||||
1.91909e11 | + | 1.10798e11i | 0.428629 | + | 0.247469i | |||||
−3.71541e11 | − | 1.08694e12i | −0.825794 | − | 2.41585i | |||||
1.63155e11 | + | 2.82592e11i | 0.360864 | + | 0.625035i | |||||
−6.98628e10 | − | 1.91946e11i | −0.153771 | − | 0.422481i | 0.838756 | − | 0.544507i | ||
−0.992527 | + | 0.122026i | ||||||||
−2.05346e10 | − | 2.64709e11i | −0.0449780 | − | 0.579805i | |||||
−4.68555e11 | + | 3.93165e11i | −1.02132 | + | 0.856989i | −0.989793 | − | 0.142514i | ||
−0.0315268 | + | 0.999503i | ||||||||
8.38969e9 | + | 9.99844e9i | 0.0181986 | + | 0.0216882i | |||||
−4.77772e9 | + | 9.98789e9i | −0.0103135 | + | 0.0215604i | |||||
−7.68602e11 | + | 2.79748e11i | −1.65113 | + | 0.600962i | |||||
−4.31359e11 | + | 2.49045e11i | −0.922183 | + | 0.532422i | −0.884331 | − | 0.466861i | ||
−0.0378519 | + | 0.999283i | ||||||||
−5.96054e10 | − | 3.81871e11i | −0.126813 | − | 0.812447i | |||||
−2.91062e11 | + | 5.04134e11i | −0.616265 | + | 1.06740i | 0.373896 | + | 0.927471i | ||
−0.990161 | + | 0.139932i | ||||||||
2.64995e11 | + | 4.67259e10i | 0.558375 | + | 0.0984566i | |||||
−6.27573e10 | + | 2.25315e11i | −0.131601 | + | 0.472483i | |||||
−7.41351e10 | − | 2.69830e10i | −0.154714 | − | 0.0563114i | |||||
4.66126e11 | − | 8.21905e10i | 0.968106 | − | 0.170703i | |||||
−2.32161e11 | − | 1.65991e11i | −0.479871 | − | 0.343101i | |||||
5.78669e11 | + | 4.85561e11i | 1.19038 | + | 0.998844i | |||||
6.28322e10i | 0.128634i | |||||||||
−9.49430e10 | + | 8.09112e11i | −0.193447 | + | 1.64857i | |||||
7.41067e10 | 0.150273 | |||||||||
4.52293e11 | − | 5.39022e11i | 0.912793 | − | 1.08782i | −0.0830329 | − | 0.996547i | ||
0.995826 | − | 0.0912770i | ||||||||
−1.37430e11 | − | 3.02461e11i | −0.276036 | − | 0.607509i | |||||
−1.35025e10 | − | 7.65765e10i | −0.0269917 | − | 0.153078i | |||||
2.03113e11 | − | 5.58047e11i | 0.404100 | − | 1.11025i | |||||
−6.99219e10 | − | 2.71623e11i | −0.138453 | − | 0.537844i | |||||
4.68748e10 | − | 2.65840e11i | 0.0923783 | − | 0.523904i | |||||
−3.15933e11 | − | 1.82404e11i | −0.619680 | − | 0.357773i | |||||
2.57687e10 | − | 1.42084e10i | 0.0503050 | − | 0.0277373i | |||||
3.93133e11 | + | 6.80927e11i | 0.763847 | + | 1.32302i | |||||
−1.92431e8 | − | 5.28701e8i | −0.000372128 | − | 0.00102241i | |||||
4.42558e11 | − | 3.03432e11i | 0.851804 | − | 0.584024i | |||||
5.23476e9 | − | 4.39249e9i | 0.0100282 | − | 0.00841462i | |||||
−8.44981e11 | − | 1.00701e12i | −1.61112 | − | 1.92006i | |||||
−1.65403e11 | − | 2.41242e11i | −0.313896 | − | 0.457820i | |||||
6.49207e11 | − | 2.36292e11i | 1.22627 | − | 0.446327i | 0.353954 | − | 0.935263i | ||
0.872320 | + | 0.488936i | ||||||||
1.75850e11 | − | 1.01527e11i | 0.330607 | − | 0.190876i | |||||
−1.40430e11 | − | 2.54687e11i | −0.262782 | − | 0.476587i | |||||
9.48471e9 | − | 1.64280e10i | 0.0176656 | − | 0.0305978i | |||||
−6.63284e11 | − | 1.16955e11i | −1.22963 | − | 0.216818i | −0.479166 | − | 0.877724i | ||
−0.750468 | + | 0.660906i | ||||||||
2.24988e11 | − | 5.79169e10i | 0.415155 | − | 0.106870i | |||||
−3.76675e11 | − | 1.37098e11i | −0.691821 | − | 0.251802i | −0.0279066 | − | 0.999611i | ||
−0.663915 | + | 0.747808i | ||||||||
−2.18353e11 | + | 3.85016e10i | −0.399178 | + | 0.0703858i | |||||
−1.43771e12 | + | 6.53258e11i | −2.61613 | + | 1.18870i | |||||
−4.73870e10 | − | 3.97624e10i | −0.0858283 | − | 0.0720185i | |||||
− | 3.60967e11i | − | 0.650766i | −0.945582 | − | 0.325383i | ||||
0.945582 | − | 0.325383i | ||||||||
−5.88618e10 | + | 7.89905e10i | −0.105628 | + | 0.141749i | |||||
2.79220e11 | 0.498749 | |||||||||
−4.17436e11 | + | 4.97481e11i | −0.742196 | + | 0.884515i | |||||
2.86858e11 | − | 4.01209e11i | 0.507681 | − | 0.710058i | |||||
−1.58572e11 | − | 8.99309e11i | −0.279350 | − | 1.58427i | |||||
1.72333e10 | − | 4.73481e10i | 0.0302197 | − | 0.0830278i | |||||
4.08444e11 | + | 1.13764e11i | 0.712943 | + | 0.198577i | |||||
−4.85111e10 | + | 2.75120e11i | −0.0842885 | + | 0.478024i | |||||
−4.63102e10 | − | 2.67372e10i | −0.0800960 | − | 0.0462435i | |||||
−8.80491e11 | + | 1.37434e11i | −1.51589 | + | 0.236612i | |||||
1.89634e11 | + | 3.28456e11i | 0.324991 | + | 0.562900i | |||||
3.98036e11 | + | 1.09359e12i | 0.679032 | + | 1.86562i | |||||
1.21038e11 | + | 5.78987e10i | 0.205544 | + | 0.0983224i | |||||
−2.12214e11 | + | 1.78069e11i | −0.358737 | + | 0.301016i | −0.804287 | − | 0.594241i | ||
0.445550 | + | 0.895257i | ||||||||
1.71302e10 | + | 2.04149e10i | 0.0288259 | + | 0.0343534i | |||||
−1.86031e11 | + | 1.44312e10i | −0.311623 | + | 0.0241739i | |||||
6.31395e10 | − | 2.29809e10i | 0.105286 | − | 0.0383209i | |||||
−7.06464e10 | + | 4.07877e10i | −0.117270 | + | 0.0677058i | −0.557488 | − | 0.830185i | ||
0.440218 | + | 0.897891i | ||||||||
1.11643e12 | − | 3.81621e11i | 1.84483 | − | 0.630606i | |||||
3.99517e11 | − | 6.91984e11i | 0.657192 | − | 1.13829i | −0.324147 | − | 0.946007i | ||
0.981339 | − | 0.192284i | ||||||||
−1.41211e11 | − | 2.48993e10i | −0.231238 | − | 0.0407735i | |||||
5.36091e11 | + | 5.46755e11i | 0.873908 | + | 0.891291i | |||||
3.07097e10 | + | 1.11774e10i | 0.0498356 | + | 0.0181387i | |||||
7.75909e11 | − | 1.36814e11i | 1.25348 | − | 0.221022i | 0.492794 | − | 0.870146i | ||
0.760683 | + | 0.649124i | ||||||||
−3.24873e10 | + | 3.33476e11i | −0.0522470 | + | 0.536306i | |||||
5.55847e11 | + | 4.66411e11i | 0.889914 | + | 0.746727i | |||||
− | 2.34388e11i | − | 0.373573i | |||||||
1.14234e10 | − | 2.89866e11i | 0.0181252 | − | 0.459924i | |||||
7.95655e10 | 0.125680 | |||||||||
−1.85612e10 | + | 2.21204e10i | −0.0291877 | + | 0.0347846i | |||||
−2.63555e11 | − | 2.56755e10i | −0.412592 | − | 0.0401947i | |||||
−4.78454e10 | − | 2.71345e11i | −0.0745673 | − | 0.422892i | |||||
3.77669e10 | − | 1.03764e11i | 0.0585975 | − | 0.160995i | |||||
1.00133e12 | − | 9.81798e11i | 1.54670 | − | 1.51654i | |||||
3.75448e10 | − | 2.12927e11i | 0.0577356 | − | 0.327435i | |||||
1.00930e12 | + | 5.82718e11i | 1.54519 | + | 0.892113i | |||||
1.12042e10 | − | 1.28307e10i | 0.0170769 | − | 0.0195560i | |||||
−5.11297e8 | − | 8.85593e8i | −0.000775844 | − | 0.00134380i | |||||
−1.09237e11 | − | 3.00125e11i | −0.165022 | − | 0.453395i | |||||
−8.29892e10 | − | 1.06980e12i | −0.124816 | − | 1.60899i | |||||
6.36279e10 | − | 5.33902e10i | 0.0952739 | − | 0.0799443i | |||||
−5.07096e11 | − | 6.04334e11i | −0.755956 | − | 0.900913i | |||||
−3.47140e11 | + | 7.25700e11i | −0.515219 | + | 1.07707i | |||||
−7.06335e10 | + | 2.57085e10i | −0.104371 | + | 0.0379881i | −0.393678 | − | 0.919248i | ||
0.289307 | + | 0.957236i | ||||||||
−1.83608e11 | + | 1.06006e11i | −0.270115 | + | 0.155951i | |||||
9.47264e11 | + | 3.66058e11i | 1.38744 | + | 0.536161i | |||||
6.02710e11 | − | 1.04392e12i | 0.878907 | − | 1.52231i | |||||
−5.26413e10 | − | 9.28208e9i | −0.0764281 | − | 0.0134763i | 0.135303 | − | 0.990804i | ||
−0.211731 | + | 0.977328i | ||||||||
2.59378e10 | − | 9.31233e10i | 0.0374933 | − | 0.134611i | |||||
−2.47492e11 | − | 9.00796e10i | −0.356186 | − | 0.129641i | |||||
−2.47359e11 | + | 4.36161e10i | −0.354441 | + | 0.0624974i | |||||
−1.54635e11 | − | 1.10562e11i | −0.220609 | − | 0.157732i | |||||
−1.80656e10 | − | 1.51589e10i | −0.0256608 | − | 0.0215320i | |||||
9.78622e11i | 1.38400i | |||||||||
−8.04271e10 | + | 1.59963e11i | −0.113248 | + | 0.225242i | |||||
1.85878e11 | 0.260595 | 0.130297 | − | 0.991475i | ||||||
0.130297 | + | 0.991475i | ||||||||
2.60704e11 | − | 3.10694e11i | 0.363911 | − | 0.433693i | |||||
2.63495e11 | + | 5.79908e11i | 0.366213 | + | 0.805974i | |||||
3.30330e10 | + | 1.87339e11i | 0.0457114 | + | 0.259242i | |||||
3.62986e11 | − | 9.97296e11i | 0.500130 | − | 1.37410i | |||||
8.10638e10 | + | 3.14906e11i | 0.111209 | + | 0.432009i | |||||
1.00606e10 | − | 5.70567e10i | 0.0137423 | − | 0.0779362i | |||||
−1.75879e11 | − | 1.01544e11i | −0.239205 | − | 0.138105i | |||||
5.06189e10 | + | 3.05695e10i | 0.0685478 | + | 0.0413971i | |||||
7.04629e10 | + | 1.22045e11i | 0.0950098 | + | 0.164562i | |||||
1.17933e11 | + | 3.24018e11i | 0.158333 | + | 0.435017i | 0.993340 | − | 0.115223i | ||
−0.835006 | + | 0.550240i | ||||||||
−7.05086e11 | + | 4.83430e11i | −0.942563 | + | 0.646252i | |||||
−8.86921e11 | + | 7.44215e11i | −1.18055 | + | 0.990603i | |||||
1.55905e11 | + | 1.85801e11i | 0.206632 | + | 0.246254i | |||||
1.10968e11 | + | 1.61848e11i | 0.146444 | + | 0.213590i | |||||
−1.55386e11 | + | 5.65560e10i | −0.204186 | + | 0.0743176i | |||||
1.05761e11 | − | 6.10610e10i | 0.138382 | − | 0.0798947i | |||||
−3.57362e11 | − | 7.03894e9i | −0.465592 | − | 0.00917073i | |||||
2.26937e11 | − | 3.93066e11i | 0.294406 | − | 0.509926i | −0.680441 | − | 0.732803i | ||
0.974846 | + | 0.222878i | ||||||||
−3.85074e11 | − | 6.78989e10i | −0.497430 | − | 0.0877104i | |||||
5.93654e11 | − | 1.52820e11i | 0.763609 | − | 0.196570i | |||||
2.90173e10 | + | 1.05614e10i | 0.0371660 | + | 0.0135273i | |||||
−9.58616e11 | + | 1.69030e11i | −1.22260 | + | 0.215578i | −0.747446 | − | 0.664322i | ||
−0.475158 | + | 0.879900i | ||||||||
−4.15220e11 | + | 1.88665e11i | −0.527321 | + | 0.239601i | |||||
−1.47685e12 | − | 1.23922e12i | −1.86762 | − | 1.56712i | |||||
2.54511e11i | 0.320493i | |||||||||
−1.03240e12 | − | 1.09528e12i | −1.29456 | − | 1.37340i | |||||
2.17018e11 | 0.270976 | |||||||||
8.00877e11 | − | 9.54448e11i | 0.995786 | − | 1.18673i | 0.0133915 | − | 0.999910i | ||
0.982394 | − | 0.186821i | ||||||||
−4.50872e10 | + | 6.30604e10i | −0.0558239 | + | 0.0780770i | |||||
8.45374e10 | + | 4.79435e11i | 0.104228 | + | 0.591106i | |||||
−5.71707e9 | + | 1.57075e10i | −0.00701907 | + | 0.0192847i | |||||
−1.03139e12 | − | 2.87275e11i | −1.26096 | − | 0.351217i | |||||
3.48505e10 | − | 1.97647e11i | 0.0424288 | − | 0.240626i | |||||
5.26504e11 | + | 3.03977e11i | 0.638308 | + | 0.368527i | 0.783962 | − | 0.620808i | ||
−0.145655 | + | 0.989335i | ||||||||
−1.59973e9 | − | 1.98458e9i | −0.00193131 | − | 0.00239593i | |||||
−5.84418e10 | − | 1.01224e11i | −0.0702604 | − | 0.121694i | |||||
−2.90365e9 | − | 7.97772e9i | −0.00347627 | − | 0.00955096i | |||||
−3.74369e11 | − | 1.79080e11i | −0.446326 | − | 0.213501i | |||||
8.22950e10 | − | 6.90537e10i | 0.0977038 | − | 0.0819832i | |||||
8.66710e11 | + | 1.03290e12i | 1.02471 | + | 1.22120i | |||||
−1.03066e11 | + | 7.99524e9i | −0.121347 | + | 0.00941340i | |||||
−1.40671e12 | + | 5.12002e11i | −1.64935 | + | 0.600314i | |||||
−1.05283e12 | + | 6.07854e11i | −1.22930 | + | 0.709739i | |||||
1.65877e10 | − | 8.43268e10i | 0.0192877 | − | 0.0980529i | |||||
−2.80684e11 | + | 4.86159e11i | −0.325019 | + | 0.562950i | |||||
6.98595e10 | + | 1.23181e10i | 0.0805594 | + | 0.0142048i | |||||
1.37418e12 | + | 1.40151e12i | 1.57810 | + | 1.60949i | |||||
−1.17995e11 | − | 4.29467e10i | −0.134945 | − | 0.0491161i | 0.273665 | − | 0.961825i | ||
−0.408610 | + | 0.912709i | ||||||||
2.40942e11 | − | 4.24845e10i | 0.274417 | − | 0.0483871i | |||||
1.70357e10 | − | 1.74868e11i | 0.0193226 | − | 0.198343i | |||||
−7.16378e11 | − | 6.01112e11i | −0.809199 | − | 0.678999i | |||||
− | 7.98948e11i | − | 0.898755i | −0.893342 | − | 0.449378i | ||||
0.893342 | − | 0.449378i | ||||||||
−1.36590e11 | + | 4.24893e11i | −0.153022 | + | 0.476009i | |||||
1.44939e12 | 1.61709 | |||||||||
7.96389e11 | − | 9.49099e11i | 0.884890 | − | 1.05457i | |||||
6.15150e10 | + | 5.99279e9i | 0.0680710 | + | 0.00663149i | |||||
−1.09717e10 | − | 6.22235e10i | −0.0120913 | − | 0.0685733i | |||||
−1.25204e11 | + | 3.43994e11i | −0.137416 | + | 0.377549i | −0.989244 | − | 0.146273i | ||
0.851828 | + | 0.523822i | ||||||||
4.27873e11 | − | 4.19528e11i | 0.467691 | − | 0.458570i | |||||
−3.98376e10 | + | 2.25930e11i | −0.0433673 | + | 0.245948i | |||||
1.07225e12 | + | 6.19061e11i | 1.16249 | + | 0.671165i | |||||
−2.37716e11 | − | 4.67603e10i | −0.256674 | − | 0.0504896i | |||||
−2.64173e11 | − | 4.57561e11i | −0.284081 | − | 0.492043i | |||||
1.21663e11 | + | 3.34265e11i | 0.130300 | + | 0.357995i | 0.987637 | − | 0.156760i | ||
−0.857337 | + | 0.514755i | ||||||||
3.80043e10 | + | 4.89909e11i | 0.0405371 | + | 0.522558i | |||||
−1.05911e12 | + | 8.88699e11i | −1.12511 | + | 0.944082i | |||||
1.64641e11 | + | 1.96211e11i | 0.174192 | + | 0.207594i | |||||
−6.44871e10 | + | 1.34811e11i | −0.0679523 | + | 0.142055i | |||||
3.29596e11 | − | 1.19963e11i | 0.345903 | − | 0.125898i | |||||
1.13447e12 | − | 6.54984e11i | 1.18579 | − | 0.684613i | |||||
2.37006e11 | − | 1.91046e11i | 0.246728 | − | 0.198883i | |||||
1.76447e11 | − | 3.05615e11i | 0.182945 | − | 0.316869i | −0.759937 | − | 0.649996i | ||
0.942882 | + | 0.333127i | ||||||||
−2.79833e11 | − | 4.93422e10i | −0.288970 | − | 0.0509532i | |||||
−3.95028e11 | + | 1.41825e12i | −0.406285 | + | 1.45867i | |||||
1.39587e12 | + | 5.08056e11i | 1.42988 | + | 0.520434i | |||||
−3.04441e11 | + | 5.36812e10i | −0.310607 | + | 0.0547684i | |||||
3.29620e11 | + | 2.35674e11i | 0.334948 | + | 0.239483i | |||||
−9.75186e11 | − | 8.18279e11i | −0.986977 | − | 0.828172i | −0.00184966 | − | 0.999998i | ||
−0.985127 | + | 0.171826i | ||||||||
− | 2.23360e11i | − | 0.225156i | |||||||
3.49406e11 | + | 1.47724e12i | 0.350807 | + | 1.48316i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 54.9.f.a.11.1 | yes | 144 | |
27.5 | odd | 18 | inner | 54.9.f.a.5.1 | ✓ | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.9.f.a.5.1 | ✓ | 144 | 27.5 | odd | 18 | inner | |
54.9.f.a.11.1 | yes | 144 | 1.1 | even | 1 | trivial |