Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(41,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 483.v (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 | 41.1 | ||
Character | 483.41 | ||
Dual form | 483.2.v.a.377.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.783018 | + | 2.66671i | −0.553677 | + | 1.88565i | −0.0987737 | + | 0.995110i | ||
−0.454903 | + | 0.890541i | ||||||||
−1.29371 | + | 1.15165i | −0.746926 | + | 0.664907i | |||||
−4.81573 | − | 3.09488i | −2.40787 | − | 1.54744i | |||||
0.328519 | − | 2.28490i | 0.146918 | − | 1.02184i | −0.774307 | − | 0.632810i | ||
0.921225 | − | 0.389029i | ||||||||
−2.05813 | − | 4.35173i | −0.840227 | − | 1.77659i | |||||
−2.59187 | + | 0.531216i | −0.979636 | + | 0.200781i | |||||
7.82307 | − | 6.77873i | 2.76587 | − | 2.39664i | |||||
0.347391 | − | 2.97982i | 0.115797 | − | 0.993273i | |||||
5.83594 | + | 2.66518i | 1.84549 | + | 0.842805i | |||||
0.892863 | + | 3.04081i | 0.269208 | + | 0.916840i | 0.977503 | + | 0.210922i | ||
−0.708294 | + | 0.705917i | ||||||||
9.79441 | − | 1.54216i | 2.82740 | − | 0.445183i | |||||
−1.39374 | − | 0.636498i | −0.386553 | − | 0.176533i | 0.212653 | − | 0.977128i | ||
−0.599206 | + | 0.800595i | ||||||||
0.612882 | − | 7.32773i | 0.163800 | − | 1.95842i | |||||
2.20640 | + | 3.33435i | 0.569691 | + | 0.860925i | |||||
7.19526 | + | 15.7554i | 1.79882 | + | 3.93886i | |||||
−3.01474 | + | 1.93745i | −0.731181 | + | 0.469902i | −0.852510 | − | 0.522711i | ||
0.121329 | + | 0.992612i | ||||||||
7.67431 | + | 3.25964i | 1.80885 | + | 0.768305i | |||||
2.67355 | − | 4.16012i | 0.613354 | − | 0.954398i | −0.386135 | − | 0.922442i | ||
0.999489 | − | 0.0319557i | ||||||||
−8.65357 | + | 9.98675i | −1.93500 | + | 2.23310i | |||||
2.74137 | − | 3.67218i | 0.598215 | − | 0.801336i | |||||
−8.80810 | −1.87789 | |||||||||
4.76812 | + | 0.514855i | 0.994221 | + | 0.107355i | |||||
−2.31407 | + | 17.7792i | −0.472358 | + | 3.62916i | |||||
−0.315385 | − | 0.0926055i | −0.0630771 | − | 0.0185211i | |||||
2.78868 | − | 3.21830i | 0.546904 | − | 0.631161i | |||||
2.98229 | + | 4.25511i | 0.573943 | + | 0.818896i | |||||
14.1258 | + | 5.46336i | 2.66953 | + | 1.03248i | |||||
2.38941 | + | 3.71800i | 0.443703 | + | 0.690415i | 0.989015 | − | 0.147818i | ||
−0.545312 | + | 0.838233i | ||||||||
−10.6194 | + | 3.27299i | −1.93883 | + | 0.597564i | |||||
2.75156 | − | 2.38424i | 0.494195 | − | 0.428222i | −0.371772 | − | 0.928324i | ||
0.865967 | + | 0.500102i | ||||||||
−27.1571 | + | 3.90460i | −4.80074 | + | 0.690243i | |||||
−4.65707 | − | 2.90567i | −0.810692 | − | 0.505813i | |||||
−2.80604 | − | 9.55650i | −0.481232 | − | 1.63893i | |||||
0.362296 | + | 6.09669i | 0.0612391 | + | 1.03053i | |||||
−10.8951 | + | 13.2749i | −1.81586 | + | 2.21248i | |||||
−0.721075 | − | 5.01519i | −0.118544 | − | 0.824492i | −0.959161 | − | 0.282861i | ||
0.840617 | − | 0.541630i | ||||||||
9.00042 | + | 10.3870i | 1.46006 | + | 1.68500i | |||||
2.53612 | − | 0.781654i | 0.406104 | − | 0.125165i | |||||
−12.9187 | − | 20.1019i | −2.04263 | − | 3.17839i | |||||
1.21612 | − | 8.45831i | 0.189926 | − | 1.32097i | −0.642267 | − | 0.766481i | ||
0.832193 | − | 0.554485i | ||||||||
7.64611 | + | 10.1858i | 1.17982 | + | 1.57171i | |||||
4.85917 | − | 5.60778i | 0.741017 | − | 0.855179i | −0.252649 | − | 0.967558i | ||
0.993665 | + | 0.112379i | ||||||||
5.11117 | − | 17.4071i | 0.770538 | − | 2.62421i | |||||
−6.69447 | − | 1.77268i | −0.997952 | − | 0.264256i | |||||
−5.10649 | + | 12.3121i | −0.752911 | + | 1.81531i | |||||
4.42066 | 0.644820 | 0.322410 | − | 0.946600i | ||||||
0.322410 | + | 0.946600i | ||||||||
−27.4534 | − | 12.0966i | −3.96256 | − | 1.74599i | |||||
6.43562 | − | 2.75369i | 0.919374 | − | 0.393384i | |||||
0.493905 | − | 0.768530i | 0.0698487 | − | 0.108687i | |||||
1.66893 | − | 5.97844i | 0.233697 | − | 0.837149i | |||||
4.74197 | + | 7.37865i | 0.657593 | + | 1.02324i | |||||
−4.10318 | + | 1.87386i | −0.563615 | + | 0.257394i | −0.676784 | − | 0.736181i | ||
0.113169 | + | 0.993576i | ||||||||
−13.6823 | + | 4.62110i | −1.86193 | + | 0.628852i | |||||
7.24128 | − | 1.04114i | 0.976414 | − | 0.140387i | |||||
−16.6754 | + | 21.7254i | −2.22835 | + | 2.90317i | |||||
1.33221 | + | 8.46101i | 0.176456 | + | 1.12069i | |||||
−11.7858 | + | 3.46062i | −1.54755 | + | 0.454402i | |||||
1.03142 | − | 2.25850i | 0.134280 | − | 0.294032i | −0.830533 | − | 0.556970i | ||
0.964813 | + | 0.262937i | ||||||||
−0.306031 | − | 22.8859i | −0.0395084 | − | 2.95456i | |||||
1.37348 | − | 1.19012i | 0.175856 | − | 0.152380i | −0.562486 | − | 0.826807i | ||
0.738341 | + | 0.674427i | ||||||||
4.20357 | + | 9.20453i | 0.533853 | + | 1.16898i | |||||
0.682534 | + | 7.90785i | 0.0859913 | + | 0.996296i | |||||
5.92207 | − | 41.1889i | 0.740258 | − | 5.14861i | |||||
−1.91220 | + | 2.97545i | −0.237180 | + | 0.369059i | |||||
11.3952 | − | 10.1439i | 1.40265 | − | 1.24862i | |||||
7.56177 | + | 2.22034i | 0.923817 | + | 0.271257i | 0.708846 | − | 0.705363i | ||
0.214971 | + | 0.976620i | ||||||||
20.5144 | 2.48773 | |||||||||
−6.76151 | + | 4.82514i | −0.813990 | + | 0.580879i | |||||
−16.5418 | − | 3.80768i | −1.97712 | − | 0.455105i | |||||
0.378819 | − | 1.29014i | 0.0449575 | − | 0.153111i | −0.933955 | − | 0.357390i | ||
0.978913 | + | 0.204279i | ||||||||
−17.4817 | − | 25.6662i | −2.06024 | − | 3.02479i | |||||
−3.09191 | + | 4.81110i | −0.361880 | + | 0.563097i | −0.973681 | − | 0.227915i | ||
0.611801 | + | 0.791012i | ||||||||
13.9387 | + | 2.00408i | 1.62034 | + | 0.232970i | |||||
0.514668 | − | 0.243410i | 0.0594287 | − | 0.0281065i | |||||
−25.7502 | + | 11.7597i | −2.95375 | + | 1.34893i | |||||
−3.92952 | − | 7.40710i | −0.447810 | − | 0.844117i | |||||
0.0986206 | + | 7.37515i | 0.0111666 | + | 0.835071i | |||||
2.76204 | − | 6.04803i | 0.310754 | − | 0.680457i | −0.688231 | − | 0.725491i | ||
0.998985 | + | 0.0450348i | ||||||||
38.3634 | − | 11.2645i | 4.28916 | − | 1.25941i | |||||
−8.75864 | − | 2.07032i | −0.973182 | − | 0.230036i | |||||
21.6036 | + | 9.86605i | 2.38572 | + | 1.08952i | |||||
1.61666 | + | 11.2441i | 0.177451 | + | 1.23420i | 0.862634 | + | 0.505829i | ||
−0.685183 | + | 0.728371i | ||||||||
−24.5667 | + | 9.20003i | −2.68044 | + | 1.00381i | |||||
3.43649 | + | 7.52487i | 0.372740 | + | 0.816186i | |||||
11.1495 | + | 17.3490i | 1.20228 | + | 1.87079i | |||||
−7.37306 | − | 2.05825i | −0.790475 | − | 0.220668i | |||||
27.5978 | + | 17.7360i | 2.94193 | + | 1.89067i | |||||
−2.22215 | + | 2.56450i | −0.235548 | + | 0.271837i | −0.861201 | − | 0.508265i | ||
0.625653 | + | 0.780101i | ||||||||
9.96912 | − | 16.4642i | 1.05084 | − | 1.73548i | |||||
3.95050 | + | 0.909347i | 0.414125 | + | 0.0953255i | |||||
−21.3686 | − | 17.2362i | −2.22783 | − | 1.79699i | |||||
−0.813914 | + | 6.25337i | −0.0843989 | + | 0.648444i | |||||
−3.46145 | + | 11.7886i | −0.357022 | + | 1.21590i | |||||
−8.62716 | − | 7.47548i | −0.885128 | − | 0.766968i | |||||
30.6368 | − | 36.3270i | 3.12685 | − | 3.70761i | |||||
3.57783 | + | 0.514414i | 0.363274 | + | 0.0522309i | 0.321535 | − | 0.946898i | ||
0.0417386 | + | 0.999129i | ||||||||
2.30410 | + | 19.3181i | 0.232749 | + | 1.95143i | |||||
9.37124 | − | 1.60422i | 0.941845 | − | 0.161230i | |||||
1.23221 | + | 1.42204i | 0.123221 | + | 0.142204i | |||||
−2.73862 | − | 19.0475i | −0.272503 | − | 1.89530i | −0.422098 | − | 0.906550i | ||
0.149595 | − | 0.988747i | ||||||||
14.6360 | + | 9.13179i | 1.44918 | + | 0.904182i | |||||
3.95664 | + | 13.4751i | 0.389859 | + | 1.32774i | 0.887681 | + | 0.460460i | ||
−0.497821 | + | 0.867280i | ||||||||
−15.2179 | + | 4.46839i | −1.49224 | + | 0.438162i | |||||
−7.48998 | − | 7.47013i | −0.730947 | − | 0.729010i | |||||
−1.78418 | − | 12.4093i | −0.173295 | − | 1.20529i | |||||
2.88623 | − | 2.50094i | 0.279023 | − | 0.241775i | −0.504095 | − | 0.863648i | ||
0.783118 | + | 0.621874i | ||||||||
−1.19287 | − | 29.7213i | −0.114784 | − | 2.85993i | |||||
−3.93751 | + | 2.53048i | −0.377145 | + | 0.242376i | −0.715456 | − | 0.698658i | ||
0.338311 | + | 0.941034i | ||||||||
−2.89363 | + | 20.1256i | −0.275897 | + | 1.91891i | |||||
6.70862 | + | 5.65779i | 0.636754 | + | 0.537014i | |||||
−27.0187 | − | 37.0138i | −2.55303 | − | 3.49748i | |||||
1.96105 | − | 6.67872i | 0.184480 | − | 0.628281i | −0.814370 | − | 0.580345i | ||
0.998850 | − | 0.0479356i | ||||||||
−23.6062 | − | 3.07249i | −2.21093 | − | 0.287765i | |||||
2.74281 | − | 10.7255i | 0.255768 | − | 1.00016i | |||||
− | 25.2998i | − | 2.34903i | |||||||
−2.38082 | + | 3.93197i | −0.220107 | + | 0.363510i | |||||
5.21516 | + | 4.51896i | 0.480094 | + | 0.416004i | |||||
6.78461 | − | 6.62311i | 0.621944 | − | 0.607140i | |||||
39.8635 | + | 11.1282i | 3.63902 | + | 1.01586i | |||||
0.804451 | − | 0.516989i | 0.0731319 | − | 0.0469990i | |||||
2.09826 | + | 4.59456i | 0.189968 | + | 0.415972i | |||||
8.16773 | + | 12.3432i | 0.736459 | + | 1.11295i | |||||
−20.6297 | + | 2.96611i | −1.85261 | + | 0.266364i | |||||
4.47951 | − | 9.80876i | 0.400660 | − | 0.877322i | |||||
−21.6224 | − | 4.37186i | −1.92628 | − | 0.389477i | |||||
4.17205 | − | 1.22502i | 0.370209 | − | 0.108703i | −0.0913354 | − | 0.995820i | ||
0.461545 | + | 0.887117i | ||||||||
55.2878 | + | 25.2491i | 4.88680 | + | 2.23173i | |||||
0.171843 | + | 12.8509i | 0.0151299 | + | 1.13146i | |||||
−6.43737 | − | 7.42912i | −0.564595 | − | 0.651577i | |||||
6.35002 | + | 13.9046i | 0.554804 | + | 1.21485i | 0.954502 | + | 0.298205i | ||
−0.399698 | + | 0.916647i | ||||||||
13.4345 | + | 28.4060i | 1.16932 | + | 2.47243i | |||||
−4.71958 | + | 12.2028i | −0.409239 | + | 1.05811i | |||||
−11.8420 | + | 18.4265i | −1.02299 | + | 1.59181i | |||||
10.7022 | − | 5.41636i | 0.921102 | − | 0.466166i | |||||
−10.4510 | + | 35.5929i | −0.896168 | + | 3.05207i | |||||
9.04558i | 0.772816i | 0.922328 | + | 0.386408i | ||||||
−0.922328 | + | 0.386408i | ||||||||
−7.57288 | − | 21.8092i | −0.644646 | − | 1.85652i | |||||
− | 18.0942i | − | 1.53473i | −0.641210 | − | 0.767366i | ||||
0.641210 | − | 0.767366i | ||||||||
17.1238 | − | 30.4813i | 1.44723 | − | 2.57614i | |||||
−5.71907 | + | 5.09107i | −0.481632 | + | 0.428745i | |||||
3.14381 | + | 2.02040i | 0.263823 | + | 0.169548i | |||||
0.691055 | − | 4.80639i | 0.0577889 | − | 0.401931i | |||||
49.4479 | − | 15.9673i | 4.12066 | − | 1.33061i | |||||
9.28023 | − | 4.23814i | 0.770681 | − | 0.351958i | |||||
−10.4088 | − | 12.0124i | −0.861439 | − | 0.994154i | |||||
−5.15455 | + | 10.9741i | −0.425141 | + | 0.905127i | |||||
−12.0489 | + | 26.3835i | −0.990415 | + | 2.16871i | |||||
−2.86638 | − | 9.76198i | −0.234823 | − | 0.799733i | −0.989612 | − | 0.143765i | ||
0.754789 | − | 0.655968i | ||||||||
0.246109 | + | 1.56307i | 0.0200947 | + | 0.127624i | |||||
4.54534 | − | 9.95292i | 0.369895 | − | 0.809957i | −0.629560 | − | 0.776952i | ||
0.999455 | − | 0.0330052i | ||||||||
−7.28499 | − | 50.6682i | −0.590891 | − | 4.10974i | |||||
4.72597 | + | 9.65642i | 0.382072 | + | 0.780675i | |||||
22.8295 | − | 4.67900i | 1.83965 | − | 0.377045i | |||||
−4.54382 | − | 7.07032i | −0.364968 | − | 0.567901i | |||||
−14.6324 | − | 4.08476i | −1.17153 | − | 0.327042i | |||||
6.91128 | − | 10.7542i | 0.551580 | − | 0.858276i | −0.447776 | − | 0.894146i | ||
0.999356 | + | 0.0358699i | ||||||||
13.9656 | + | 12.1013i | 1.11105 | + | 0.962727i | |||||
3.15030 | − | 7.14968i | 0.249835 | − | 0.567006i | |||||
63.3341i | 5.00700i | |||||||||
−12.6319 | + | 1.19846i | −0.995529 | + | 0.0944519i | |||||
12.3791 | − | 21.7357i | 0.972596 | − | 1.70772i | |||||
−13.0760 | − | 3.83947i | −1.02419 | − | 0.300730i | −0.273845 | − | 0.961774i | ||
−0.750348 | + | 0.661044i | ||||||||
−32.0340 | + | 36.9692i | −2.50144 | + | 2.88681i | |||||
−8.16911 | + | 9.68638i | −0.635965 | + | 0.754084i | |||||
−31.2507 | − | 4.49317i | −2.42552 | − | 0.348737i | |||||
3.68461 | − | 2.36796i | 0.285124 | − | 0.183238i | −0.390259 | − | 0.920705i | ||
0.675383 | + | 0.737467i | ||||||||
−3.44682 | − | 47.3107i | −0.265928 | − | 3.65010i | |||||
−6.97582 | − | 8.05053i | −0.536602 | − | 0.619271i | |||||
−22.7575 | + | 3.27203i | −1.74542 | + | 0.250954i | |||||
−11.4677 | − | 9.41188i | −0.876953 | − | 0.719745i | |||||
−40.7559 | + | 11.9670i | −3.10761 | + | 0.912476i | |||||
14.6905 | − | 4.31351i | 1.11689 | − | 0.327950i | 0.329350 | − | 0.944208i | ||
0.787544 | + | 0.616258i | ||||||||
11.2620 | − | 18.0502i | 0.853770 | − | 1.36838i | |||||
0.866633 | + | 0.0724840i | 0.0655113 | + | 0.00547928i | |||||
−41.4849 | + | 35.9469i | −3.12704 | + | 2.70960i | |||||
1.26665 | + | 4.10970i | 0.0952069 | + | 0.308904i | |||||
−5.09880 | − | 7.93389i | −0.382171 | − | 0.594670i | |||||
−20.2388 | − | 2.90991i | −1.51272 | − | 0.217497i | −0.664560 | − | 0.747235i | ||
−0.848161 | + | 0.529738i | ||||||||
26.7525 | + | 29.2554i | 1.99402 | + | 2.18057i | |||||
11.4427 | + | 9.91518i | 0.850532 | + | 0.736990i | 0.966610 | − | 0.256250i | ||
−0.116079 | + | 0.993240i | ||||||||
−5.51828 | + | 9.82283i | −0.409042 | + | 0.728116i | |||||
−0.406276 | + | 3.12145i | −0.0300328 | + | 0.230744i | |||||
40.7914 | − | 28.2940i | 3.00718 | − | 2.08586i | |||||
−11.6961 | −0.859914 | |||||||||
−16.0386 | − | 7.06697i | −1.17601 | − | 0.518176i | |||||
−8.58318 | − | 7.43737i | −0.627664 | − | 0.543874i | |||||
−21.2887 | − | 13.6814i | −1.55264 | − | 0.997821i | |||||
−9.99011 | − | 9.44446i | −0.726673 | − | 0.686983i | |||||
26.6902 | − | 17.1527i | 1.93631 | − | 1.24439i | |||||
−8.52589 | + | 3.89364i | −0.616912 | + | 0.281734i | −0.699258 | − | 0.714870i | ||
0.0823459 | + | 0.996604i | ||||||||
39.7738 | + | 60.1068i | 2.87043 | + | 4.33783i | |||||
−1.60123 | − | 11.1368i | −0.115259 | − | 0.801644i | −0.962664 | − | 0.270697i | ||
0.847405 | − | 0.530946i | ||||||||
−4.17330 | + | 9.13825i | −0.299625 | + | 0.656088i | |||||
−0.952838 | − | 6.05157i | −0.0682342 | − | 0.433362i | |||||
−39.5146 | − | 6.65646i | −2.82247 | − | 0.475462i | |||||
1.71862 | + | 0.784867i | 0.122447 | + | 0.0559195i | 0.475696 | − | 0.879610i | ||
−0.353250 | + | 0.935529i | ||||||||
−3.05985 | + | 26.2465i | −0.217454 | + | 1.86526i | |||||
5.23158 | − | 4.53319i | 0.370857 | − | 0.321349i | −0.449415 | − | 0.893323i | ||
0.820272 | + | 0.571974i | ||||||||
−3.09503 | + | 1.41345i | −0.218852 | + | 0.0999462i | |||||
−12.3398 | + | 5.83606i | −0.870384 | + | 0.411644i | |||||
52.9386 | + | 7.61142i | 3.72475 | + | 0.535538i | |||||
−8.16812 | − | 8.36729i | −0.573289 | − | 0.587269i | |||||
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−18.9269 | − | 5.55744i | −1.32191 | − | 0.388148i | |||||
−39.0323 | −2.71951 | |||||||||
3.19057 | − | 14.0293i | 0.221760 | − | 0.975101i | |||||
− | 26.5387i | − | 1.84012i | |||||||
15.0373 | + | 4.41534i | 1.04015 | + | 0.305416i | |||||
25.7855 | − | 14.1244i | 1.77937 | − | 0.974675i | |||||
7.37181 | + | 4.73757i | 0.507496 | + | 0.326148i | 0.769208 | − | 0.638998i | ||
−0.261712 | + | 0.965146i | ||||||||
25.5592 | + | 3.67486i | 1.75541 | + | 0.252390i | |||||
0.995709 | + | 2.10534i | 0.0682249 | + | 0.144255i | |||||
4.40931 | + | 9.65504i | 0.301414 | + | 0.660005i | |||||
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52.1749 | + | 13.0718i | 3.55005 | + | 0.889426i | |||||
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5.43493 | − | 0.781425i | 0.365593 | − | 0.0525643i | |||||
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−0.117274 | + | 0.993100i | ||||||||
68.3136 | − | 24.5465i | 4.56440 | − | 1.64008i | |||||
−0.385510 | + | 0.907621i | −0.0257006 | + | 0.0605081i | |||||
16.2747 | + | 10.4591i | 1.08258 | + | 0.695729i | |||||
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−0.986406 | + | 0.164325i | ||||||||
19.7703 | − | 44.8690i | 1.30932 | − | 2.97152i | |||||
0.117428i | 0.00775989i | 0.999992 | + | 0.00387994i | ||||||
−0.999992 | + | 0.00387994i | ||||||||
26.4543 | + | 15.7126i | 1.74434 | + | 1.03606i | |||||
13.6141 | + | 5.05723i | 0.895741 | + | 0.332741i | |||||
43.8959 | + | 12.8890i | 2.88190 | + | 0.846203i | |||||
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−0.951601 | + | 0.307338i | ||||||||
−8.62120 | − | 9.42776i | −0.563586 | − | 0.616312i | |||||
1.45227 | − | 10.1008i | 0.0947358 | − | 0.658902i | |||||
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3.39194 | + | 11.0053i | 0.220330 | + | 0.714873i | |||||
12.3495 | + | 23.2786i | 0.800497 | + | 1.50893i | |||||
3.73639 | − | 0.537212i | 0.241687 | − | 0.0347494i | −0.0204066 | − | 0.999792i | ||
0.262094 | + | 0.965042i | ||||||||
−36.6584 | + | 58.7543i | −2.36629 | + | 3.79258i | |||||
2.60896 | + | 8.88532i | 0.168058 | + | 0.572354i | 0.999851 | + | 0.0172672i | ||
−0.831793 | + | 0.555086i | ||||||||
0.748763 | + | 2.55005i | 0.0481323 | + | 0.163924i | |||||
13.7155 | − | 7.40851i | 0.879848 | − | 0.475256i | |||||
−10.2976 | + | 1.48057i | −0.659236 | + | 0.0947839i | |||||
−4.17768 | − | 15.6094i | −0.266902 | − | 0.997248i | |||||
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5.36353 | − | 37.3042i | 0.340585 | − | 2.36882i | |||||
−15.0408 | − | 12.6848i | −0.953171 | − | 0.803868i | |||||
22.6496 | + | 19.6260i | 1.43249 | + | 1.24126i | |||||
24.4319 | + | 7.17387i | 1.54213 | + | 0.452810i | 0.938737 | − | 0.344633i | ||
0.603393 | + | 0.797444i | ||||||||
21.1870 | − | 40.1945i | 1.33465 | − | 2.53201i | |||||
2.69170 | + | 14.9586i | 0.169226 | + | 0.940442i | |||||
12.0849i | 0.758272i | |||||||||
−13.1119 | − | 5.77738i | −0.821097 | − | 0.361793i | |||||
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11.4724 | + | 7.37285i | 0.715628 | + | 0.459906i | 0.847113 | − | 0.531412i | ||
−0.131486 | + | 0.991318i | ||||||||
−34.4043 | − | 9.60426i | −2.14192 | − | 0.597935i | |||||
4.53308 | + | 12.6157i | 0.281672 | + | 0.783901i | |||||
18.4173 | − | 8.41091i | 1.14219 | − | 0.521623i | |||||
11.9090 | − | 5.82842i | 0.737150 | − | 0.360770i | |||||
−42.0518 | + | 6.04613i | −2.59797 | + | 0.373531i | |||||
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−0.821887 | + | 0.569651i | ||||||||
−56.1294 | + | 8.83774i | −3.45452 | + | 0.543925i | |||||
2.93361 | + | 9.99096i | 0.180210 | + | 0.613740i | |||||
−28.8457 | − | 22.1407i | −1.76864 | − | 1.35754i | |||||
−0.0785857 | − | 5.87688i | −0.00480937 | − | 0.359659i | |||||
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3.48906 | + | 7.63997i | 0.212732 | + | 0.465817i | 0.985675 | − | 0.168658i | ||
−0.772943 | + | 0.634475i | ||||||||
6.06384 | + | 32.7809i | 0.369034 | + | 1.99498i | |||||
0.597126 | + | 0.0858538i | 0.0362728 | + | 0.00521525i | 0.160427 | − | 0.987048i | ||
−0.124155 | + | 0.992263i | ||||||||
−52.2172 | − | 33.5580i | −3.16613 | − | 2.03475i | |||||
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− | 1.04171i | − | 0.0628176i | |||||||
47.4949 | − | 2.31050i | 2.85886 | − | 0.139075i | |||||
19.0295 | 1.14337 | 0.571686 | − | 0.820472i | ||||||
0.571686 | + | 0.820472i | ||||||||
48.2521 | + | 14.1681i | 2.89397 | + | 0.849746i | |||||
−6.14874 | − | 9.02742i | −0.368115 | − | 0.540457i | |||||
44.1621 | + | 45.2389i | 2.63919 | + | 2.70354i | |||||
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−0.500008 | + | 0.866021i | ||||||||
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9.94351 | − | 4.54105i | 0.591080 | − | 0.269937i | −0.0973378 | − | 0.995251i | ||
0.688418 | + | 0.725314i | ||||||||
−5.81712 | + | 5.04056i | −0.345183 | + | 0.299102i | |||||
19.7702 | − | 0.264368i | 1.17109 | − | 0.0156598i | |||||
12.2762 | + | 5.60634i | 0.725905 | + | 0.331510i | |||||
1.34116 | + | 22.5689i | 0.0791659 | + | 1.33220i | |||||
2.20088 | + | 82.2797i | 0.129688 | + | 4.84838i | |||||
−1.72714 | + | 3.78192i | −0.101597 | + | 0.222466i | |||||
4.03532 | + | 28.0662i | 0.236962 | + | 1.64811i | |||||
−5.22112 | + | 3.45491i | −0.306067 | + | 0.202531i | |||||
29.7796 | − | 13.5999i | 1.74272 | − | 0.795873i | |||||
2.18963 | − | 1.40719i | 0.127919 | − | 0.0822087i | −0.475116 | − | 0.879923i | ||
0.603036 | + | 0.797714i | ||||||||
−25.2286 | − | 22.3386i | −1.47136 | − | 1.30281i | |||||
−4.82162 | − | 3.09867i | −0.280725 | − | 0.180411i | |||||
−39.6376 | − | 34.3462i | −2.30389 | − | 1.99633i | |||||
−10.2762 | + | 12.8678i | −0.596286 | + | 0.746667i | |||||
28.2768 | 1.63803 | |||||||||
−6.31779 | − | 3.75247i | −0.365367 | − | 0.217011i | |||||
−3.23183 | − | 0.420642i | −0.186590 | − | 0.0242858i | |||||
−9.61541 | + | 17.1159i | −0.554223 | + | 0.986546i | |||||
22.9825 | + | 19.9144i | 1.32249 | + | 1.14595i | |||||
25.4791 | + | 21.4881i | 1.46374 | + | 1.23446i | |||||
84.7814 | + | 12.1897i | 4.86255 | + | 0.699129i | |||||
−2.26810 | − | 3.52924i | −0.129871 | − | 0.202084i | |||||
−29.4514 | + | 5.04166i | −1.68363 | + | 0.288212i | |||||
−19.1949 | + | 16.6325i | −1.09551 | + | 0.949266i | −0.998939 | − | 0.0460595i | ||
−0.0965731 | + | 0.995326i | ||||||||
−4.00061 | + | 47.8320i | −0.227956 | + | 2.72548i | |||||
−20.6374 | − | 12.8762i | −1.17402 | − | 0.732503i | |||||
22.4124 | − | 6.58087i | 1.27294 | − | 0.373768i | |||||
−6.19693 | + | 1.81958i | −0.351396 | + | 0.103179i | −0.452667 | − | 0.891680i | ||
0.101271 | + | 0.994859i | ||||||||
14.5416 | − | 23.3066i | 0.823257 | − | 1.31948i | |||||
5.84090 | − | 0.839795i | 0.330147 | − | 0.0474680i | 0.0247519 | − | 0.999694i | ||
0.305395 | + | 0.952226i | ||||||||
23.2666 | + | 26.8511i | 1.31301 | + | 1.51530i | |||||
18.2929 | + | 1.03836i | 1.03069 | + | 0.0585048i | |||||
−32.0192 | + | 20.5775i | −1.80122 | + | 1.15757i | |||||
27.3502 | + | 3.93236i | 1.53614 | + | 0.220863i | 0.857837 | − | 0.513921i | ||
0.678300 | + | 0.734785i | ||||||||
16.5994 | + | 13.9993i | 0.930848 | + | 0.785041i | |||||
−9.17232 | + | 10.5854i | −0.513551 | + | 0.592670i | |||||
−92.1670 | − | 27.0627i | −5.15229 | − | 1.51285i | |||||
−0.853750 | + | 6.55944i | −0.0476517 | + | 0.366112i | |||||
6.69501 | − | 34.6239i | 0.373099 | − | 1.92952i | |||||
17.7216i | 0.986054i | |||||||||
35.7719 | + | 37.0771i | 1.98733 | + | 2.05984i | |||||
0.380621 | + | 0.329810i | 0.0211130 | + | 0.0182945i | |||||
20.4775 | − | 31.8636i | 1.13414 | − | 1.76476i | |||||
2.17977 | − | 7.80837i | 0.120542 | − | 0.431804i | |||||
−47.8228 | − | 74.4137i | −2.64057 | − | 4.10881i | |||||
−11.4578 | + | 2.34832i | −0.631689 | + | 0.129467i | |||||
−19.4342 | − | 29.3693i | −1.06982 | − | 1.61673i | |||||
4.01654 | + | 27.9357i | 0.220769 | + | 1.53548i | 0.735140 | + | 0.677915i | ||
−0.514371 | + | 0.857568i | ||||||||
27.0138 | − | 59.1519i | 1.48257 | − | 3.24638i | |||||
−15.1948 | + | 0.406444i | −0.832672 | + | 0.0222730i | |||||
3.42954 | + | 11.6799i | 0.187656 | + | 0.639098i | |||||
7.55743 | − | 16.5485i | 0.412907 | − | 0.904140i | |||||
77.5816 | + | 16.7691i | 4.23242 | + | 0.914829i | |||||
−19.1127 | − | 22.0573i | −1.04114 | − | 1.20154i | −0.979083 | − | 0.203463i | ||
−0.0620545 | − | 0.998073i | ||||||||
26.9306 | − | 12.2988i | 1.46483 | − | 0.668967i | |||||
5.15453 | + | 10.8988i | 0.279956 | + | 0.591941i | |||||
6.73936 | − | 46.8733i | 0.365493 | − | 2.54206i | |||||
9.70680 | + | 6.23818i | 0.525653 | + | 0.337816i | |||||
34.0782 | − | 23.2113i | 1.84274 | − | 1.25512i | |||||
−15.2175 | + | 10.5559i | −0.821668 | + | 0.569966i | |||||
− | 76.8091i | − | 4.14127i | |||||||
8.80368 | + | 17.0345i | 0.473974 | + | 0.917109i | |||||
42.5528i | 2.28765i | |||||||||
−0.0622420 | + | 0.211977i | −0.00334133 | + | 0.0113795i | −0.961147 | − | 0.276038i | ||
0.957805 | + | 0.287417i | ||||||||
29.1366 | + | 32.7308i | 1.56189 | + | 1.75455i | |||||
15.3199 | − | 23.8383i | 0.820057 | − | 1.27603i | −0.138279 | − | 0.990393i | ||
0.958337 | − | 0.285641i | ||||||||
−0.871883 | + | 2.25430i | −0.0466041 | + | 0.120498i | |||||
−1.44816 | − | 7.82872i | −0.0772972 | − | 0.417866i | |||||
−36.1208 | − | 79.0934i | −1.92524 | − | 4.21569i | |||||
−3.00117 | − | 3.46353i | −0.159736 | − | 0.184345i | 0.670240 | − | 0.742145i | ||
−0.829976 | + | 0.557799i | ||||||||
−11.9512 | + | 0.159812i | −0.635199 | + | 0.00849389i | |||||
−2.82339 | − | 1.28940i | −0.149850 | − | 0.0684342i | |||||
18.6381 | − | 5.47265i | 0.987819 | − | 0.290050i | |||||
−1.14982 | + | 16.3819i | −0.0608548 | + | 0.867024i | |||||
23.6072 | − | 51.6927i | 1.24768 | − | 2.73204i | |||||
1.20320 | − | 0.172994i | 0.0635023 | − | 0.00913025i | −0.110490 | − | 0.993877i | ||
0.173993 | + | 0.984747i | ||||||||
−64.3878 | + | 31.5122i | −3.39354 | + | 1.66084i | |||||
−2.26588 | − | 4.96159i | −0.119257 | − | 0.261136i | |||||
−35.4008 | + | 22.7507i | −1.86063 | + | 1.19575i | |||||
−0.445337 | + | 1.59529i | −0.0233741 | + | 0.0837308i | |||||
−16.2103 | − | 16.6055i | −0.849648 | − | 0.870366i | |||||
9.97714 | + | 8.64524i | 0.522227 | + | 0.452513i | |||||
−8.00589 | − | 3.52757i | −0.418475 | − | 0.184389i | |||||
0.634511i | 0.0331212i | 0.999863 | + | 0.0165606i | ||||||
−0.999863 | + | 0.0165606i | ||||||||
26.1961 | + | 78.8282i | 1.36556 | + | 4.10920i | |||||
−24.7818 | − | 6.56216i | −1.29009 | − | 0.341612i | |||||
9.15825 | − | 31.1901i | 0.476115 | − | 1.62150i | |||||
9.63950 | − | 7.03648i | 0.500458 | − | 0.365316i | |||||
23.2730 | − | 27.5956i | 1.20665 | − | 1.43076i | |||||
0.248073 | − | 1.72538i | 0.0128447 | − | 0.0893370i | −0.982391 | − | 0.186838i | ||
0.995235 | + | 0.0975013i | ||||||||
26.5541 | − | 17.0653i | 1.37308 | − | 0.882425i | |||||
5.50108 | + | 17.8486i | 0.284075 | + | 0.921696i | |||||
34.5831 | − | 29.9665i | 1.78349 | − | 1.54540i | |||||
−0.963712 | − | 6.70276i | −0.0496337 | − | 0.345210i | |||||
33.0081 | − | 19.2456i | 1.69775 | − | 0.989886i | |||||
23.3447 | − | 6.85463i | 1.19914 | − | 0.352099i | 0.379615 | − | 0.925145i | ||
0.819523 | + | 0.573046i | ||||||||
18.4104 | + | 62.7000i | 0.944432 | + | 3.21644i | |||||
−3.98663 | + | 6.38958i | −0.204241 | + | 0.327348i | |||||
−3.70731 | − | 25.7849i | −0.189682 | − | 1.31927i | |||||
−15.1513 | − | 17.4855i | −0.774193 | − | 0.893466i | 0.222483 | − | 0.974937i | ||
−0.996676 | + | 0.0814703i | ||||||||
−100.605 | + | 31.0073i | −5.13397 | + | 1.58233i | |||||
−18.2154 | + | 6.54518i | −0.928344 | + | 0.333573i | |||||
30.9524 | + | 4.45029i | 1.57544 | + | 0.226514i | |||||
−15.0221 | − | 16.4275i | −0.763618 | − | 0.835059i | |||||
−15.6378 | − | 13.5503i | −0.793890 | − | 0.687910i | |||||
−5.80741 | + | 19.7782i | −0.294448 | + | 1.00280i | 0.670839 | + | 0.741603i | ||
−0.965286 | + | 0.261193i | ||||||||
16.8839 | + | 2.19754i | 0.854949 | + | 0.111277i | |||||
−15.3721 | + | 7.68585i | −0.777402 | + | 0.388690i | |||||
31.6798 | − | 65.1676i | 1.60007 | − | 3.29146i | |||||
−24.2284 | − | 10.6756i | −1.22216 | − | 0.538511i | |||||
−3.43873 | + | 3.96850i | −0.173241 | + | 0.199930i | |||||
−12.9118 | − | 8.29789i | −0.649662 | − | 0.417512i | |||||
−50.0943 | − | 21.2774i | −2.51733 | − | 1.06923i | |||||
−19.4051 | − | 30.1949i | −0.973915 | − | 1.51544i | −0.852426 | − | 0.522848i | ||
−0.121489 | − | 0.992593i | ||||||||
7.99230 | + | 17.5007i | 0.400618 | + | 0.877231i | |||||
−7.94755 | − | 21.2222i | −0.397875 | − | 1.06244i | |||||
−0.810241 | − | 5.63535i | −0.0405121 | − | 0.281768i | |||||
2.20708 | + | 1.00794i | 0.110216 | + | 0.0503341i | 0.469760 | − | 0.882794i | ||
−0.359544 | + | 0.933128i | ||||||||
−5.90079 | − | 37.4765i | −0.294305 | − | 1.86916i | |||||
−5.35251 | + | 1.57164i | −0.266628 | + | 0.0782889i | |||||
−45.7614 | + | 100.203i | −2.27671 | + | 4.98531i | |||||
−7.60786 | + | 19.3325i | −0.378038 | + | 0.960639i | |||||
28.7089 | − | 15.2303i | 1.42480 | − | 0.755866i | |||||
14.6064 | − | 6.67053i | 0.724014 | − | 0.330646i | |||||
−27.4701 | − | 58.0830i | −1.35997 | − | 2.87554i | |||||
−1.28308 | − | 0.184479i | −0.0634441 | − | 0.00912188i | 0.110520 | − | 0.993874i | ||
−0.173964 | + | 0.984752i | ||||||||
29.6402 | − | 46.1210i | 1.46382 | − | 2.27775i | |||||
−10.4174 | − | 11.7024i | −0.513851 | − | 0.577236i | |||||
22.6497 | − | 77.1378i | 1.11587 | − | 3.80030i | |||||
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34.9137 | + | 19.4935i | 1.71592 | + | 0.958053i | |||||
26.2228 | 1.28722 | |||||||||
40.3351 | + | 11.8435i | 1.97759 | + | 0.580673i | |||||
20.8383 | + | 23.4087i | 1.02045 | + | 1.14633i | |||||
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−0.985438 | + | 0.170038i | ||||||||
12.9505 | + | 59.1548i | 0.631922 | + | 2.88646i | |||||
7.47689 | + | 16.3721i | 0.364401 | + | 0.797928i | 0.999671 | + | 0.0256376i | ||
−0.635270 | + | 0.772290i | ||||||||
−18.4060 | + | 15.9489i | −0.895990 | + | 0.776380i | |||||
1.53570 | − | 13.1728i | 0.0746681 | − | 0.640482i | |||||
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1.13022 | − | 0.331863i | 0.0548239 | − | 0.0160977i | |||||
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4.64127 | + | 7.01395i | 0.224083 | + | 0.338637i | |||||
43.3036 | − | 19.7761i | 2.08829 | − | 0.953688i | |||||
6.07000 | + | 9.44511i | 0.292382 | + | 0.454955i | 0.956105 | − | 0.293023i | ||
−0.663724 | + | 0.747978i | ||||||||
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0.797542 | + | 0.603263i | ||||||||
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26.7936 | 1.28318 | |||||||||
14.8897 | − | 18.4595i | 0.712269 | − | 0.883036i | |||||
27.3001 | + | 3.55328i | 1.30445 | + | 0.169782i | |||||
9.10173 | − | 30.9976i | 0.434402 | − | 1.47944i | −0.393899 | − | 0.919154i | ||
0.828301 | − | 0.560283i | ||||||||
49.5915 | − | 57.2316i | 2.36418 | − | 2.72841i | |||||
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−0.867209 | + | 0.497945i | ||||||||
−14.7967 | − | 48.0088i | −0.702222 | − | 2.27840i | |||||
5.12961 | + | 5.91989i | 0.243167 | + | 0.280630i | |||||
−6.13370 | − | 42.6608i | −0.290439 | − | 2.02005i | |||||
14.9507 | + | 9.32814i | 0.707143 | + | 0.441206i | |||||
6.53094 | + | 109.902i | 0.308558 | + | 5.19239i | |||||
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0.624977 | − | 0.780643i | ||||||||
−2.11850 | − | 1.73873i | −0.0998672 | − | 0.0819643i | |||||
26.8060 | − | 3.85412i | 1.26224 | − | 0.181483i | |||||
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5.58193 | + | 18.1109i | 0.262262 | + | 0.850924i | |||||
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3.37559 | − | 8.72778i | 0.158250 | − | 0.409164i | |||||
67.7769 | + | 57.1604i | 3.17394 | + | 2.67678i | |||||
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−0.936537 | + | 0.350569i | ||||||||
−0.313148 | − | 0.0919485i | −0.0146324 | − | 0.00429647i | |||||
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11.1746 | 0.520451 | 0.260226 | − | 0.965548i | ||||||
0.260226 | + | 0.965548i | ||||||||
−24.1462 | + | 32.3449i | −1.12338 | + | 1.50482i | |||||
11.7093 | − | 13.5133i | 0.544179 | − | 0.628016i | −0.415338 | − | 0.909667i | ||
0.959517 | + | 0.281651i | ||||||||
−41.3862 | + | 64.3982i | −1.92131 | + | 2.98961i | |||||
14.0209 | + | 3.91407i | 0.650206 | + | 0.181510i | |||||
36.9677 | − | 23.7577i | 1.71250 | − | 1.10055i | |||||
4.34397 | + | 9.51198i | 0.201015 | + | 0.440162i | 0.983114 | − | 0.182992i | ||
−0.782099 | + | 0.623154i | ||||||||
23.6344 | − | 11.5669i | 1.09250 | − | 0.534682i | |||||
−20.7786 | − | 1.73790i | −0.959468 | − | 0.0802487i | |||||
25.7987 | + | 11.7819i | 1.19001 | + | 0.543457i | |||||
3.44385 | + | 21.8722i | 0.158684 | + | 1.00782i | |||||
−7.24089 | − | 24.6602i | −0.333289 | − | 1.13508i | |||||
21.3908 | + | 9.76885i | 0.983550 | + | 0.449172i | |||||
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4.15836 | + | 12.8777i | 0.190398 | + | 0.589629i | |||||
−1.49307 | + | 10.3845i | −0.0682915 | + | 0.474978i | |||||
−13.2334 | − | 8.50458i | −0.604649 | − | 0.388584i | 0.202198 | − | 0.979345i | ||
−0.806847 | + | 0.590761i | ||||||||
−72.9389 | − | 81.9362i | −3.32919 | − | 3.73986i | |||||
−2.18717 | + | 7.44881i | −0.0997262 | + | 0.339636i | |||||
−25.7375 | −1.17231 | |||||||||
14.9618 | − | 16.0980i | 0.680785 | − | 0.732483i | |||||
−5.47405 | −0.248820 | |||||||||
2.35077 | − | 8.00600i | 0.106743 | − | 0.363534i | |||||
9.01692 | + | 42.3762i | 0.409016 | + | 1.92222i | |||||
−6.30080 | − | 4.04928i | −0.285516 | − | 0.183490i | 0.390041 | − | 0.920797i | ||
−0.675558 | + | 0.737307i | ||||||||
2.67728 | − | 18.6209i | 0.121195 | − | 0.842927i | |||||
21.3384 | − | 10.0919i | 0.964954 | − | 0.456370i | |||||
44.8970 | + | 1.08175i | 2.02824 | + | 0.0488684i | |||||
−10.2500 | + | 8.88168i | −0.462576 | + | 0.400825i | −0.854728 | − | 0.519076i | ||
0.392152 | + | 0.919900i | ||||||||
−1.13287 | − | 84.7196i | −0.0510738 | − | 3.81946i | |||||
−14.4069 | − | 6.57941i | −0.648854 | − | 0.296322i | |||||
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−0.586852 | − | 21.9394i | −0.0263771 | − | 0.986102i | |||||
57.3629 | + | 26.1968i | 2.57567 | + | 1.17627i | |||||
−0.296509 | + | 3.54511i | −0.0133002 | + | 0.159020i | |||||
45.6040 | − | 30.1770i | 2.04356 | − | 1.35227i | |||||
12.2822 | + | 26.8944i | 0.549829 | + | 1.20396i | 0.956862 | + | 0.290544i | ||
−0.407033 | + | 0.913414i | ||||||||
−51.9291 | + | 33.3728i | −2.32234 | + | 1.49248i | |||||
−2.03977 | + | 7.30685i | −0.0911301 | + | 0.326446i | |||||
−38.2613 | + | 59.5357i | −1.70768 | + | 2.65721i | |||||
−7.51548 | + | 8.67332i | −0.335099 | + | 0.386724i | −0.898144 | − | 0.439702i | ||
0.563045 | + | 0.826426i | ||||||||
58.9447 | + | 57.2370i | 2.62561 | + | 2.54954i | |||||
−44.4214 | −1.97672 | |||||||||
−41.9980 | − | 4.53489i | −1.86704 | − | 0.201601i | |||||
18.2961 | + | 2.38135i | 0.812560 | + | 0.105760i | |||||
−23.8828 | − | 7.01262i | −1.05963 | − | 0.311135i | |||||
−5.29279 | + | 6.10821i | −0.234599 | + | 0.270742i | −0.860826 | − | 0.508899i | ||
0.626227 | + | 0.779640i | ||||||||
25.6734 | − | 30.4418i | 1.13684 | − | 1.34799i | |||||
5.45810 | − | 14.1122i | 0.241452 | − | 0.624289i | |||||
−63.0548 | − | 98.1151i | −2.78665 | − | 4.33612i | |||||
25.6751 | − | 1.03047i | 1.13358 | − | 0.0454965i | |||||
−28.6444 | + | 24.8205i | −1.26345 | + | 1.09478i | |||||
32.0891 | − | 4.61371i | 1.41401 | − | 0.203304i | |||||
38.9446 | − | 62.4186i | 1.71444 | − | 2.74782i | |||||
3.94704 | + | 13.4424i | 0.173591 | + | 0.591196i | |||||
−37.1919 | + | 2.21013i | −1.63412 | + | 0.0971074i | |||||
−14.0376 | + | 22.4987i | −0.616181 | + | 0.987586i | |||||
5.21045 | + | 36.2394i | 0.228493 | + | 1.58920i | |||||
15.5574 | + | 17.9542i | 0.681582 | + | 0.786588i | 0.986142 | − | 0.165905i | ||
−0.304559 | + | 0.952493i | ||||||||
6.21775 | + | 36.3217i | 0.272143 | + | 1.58976i | |||||
18.5645 | + | 28.8870i | 0.811771 | + | 1.26314i | 0.961607 | + | 0.274430i | ||
−0.149836 | + | 0.988711i | ||||||||
12.4531 | − | 86.6135i | 0.544018 | − | 3.78373i | |||||
−1.20465 | + | 0.904286i | −0.0525753 | + | 0.0394663i | |||||
30.1640 | − | 34.8112i | 1.31521 | − | 1.51784i | |||||
−3.67588 | + | 12.5189i | −0.160124 | + | 0.545331i | |||||
12.2713 | − | 94.2812i | 0.534038 | − | 4.10306i | |||||
22.4698 | + | 4.90977i | 0.976950 | + | 0.213468i | |||||
−28.9401 | −1.25708 | |||||||||
−6.37163 | − | 3.85804i | −0.276505 | − | 0.167425i | |||||
60.4943 | − | 44.1586i | 2.62276 | − | 1.91452i | |||||
−7.07865 | + | 11.0146i | −0.306610 | + | 0.477095i | |||||
15.7335 | + | 4.39213i | 0.680854 | + | 0.190066i | |||||
−4.76621 | − | 7.41637i | −0.206061 | − | 0.320638i | |||||
74.2073 | − | 33.8893i | 3.20527 | − | 1.46380i | |||||
29.5345 | − | 19.5435i | 1.27451 | − | 0.843366i | |||||
−23.1056 | + | 3.32208i | −0.996153 | + | 0.143225i | |||||
14.1196 | + | 17.1108i | 0.608173 | + | 0.737016i | |||||
−68.3022 | − | 7.03843i | −2.93926 | − | 0.302886i | |||||
−7.66517 | + | 2.25070i | −0.329551 | + | 0.0967650i | −0.442323 | − | 0.896856i | ||
0.112771 | + | 0.993621i | ||||||||
−0.696508 | + | 1.52514i | −0.0299176 | + | 0.0655103i | |||||
−26.2225 | + | 0.350647i | −1.12531 | + | 0.0150477i | |||||
74.3066 | − | 64.3870i | 3.18587 | − | 2.76057i | |||||
4.48836 | + | 9.82814i | 0.192260 | + | 0.420991i | |||||
−4.17341 | − | 19.0631i | −0.178605 | − | 0.815824i | |||||
−3.77240 | + | 26.2376i | −0.161296 | + | 1.12184i | 0.734898 | + | 0.678178i | ||
−0.896194 | + | 0.443663i | ||||||||
27.9950 | − | 43.5611i | 1.19589 | − | 1.86084i | |||||
−3.06922 | − | 4.50615i | −0.130991 | − | 0.192318i | |||||
2.77795 | + | 0.815679i | 0.118452 | + | 0.0347807i | |||||
21.8556 | 0.931078 | |||||||||
−20.1875 | + | 83.5819i | −0.859236 | + | 3.55748i | |||||
−3.94606 | + | 17.1430i | −0.167803 | + | 0.728993i | |||||
−14.9004 | + | 50.7462i | −0.633059 | + | 2.15600i | |||||
15.1314 | − | 13.4698i | 0.642292 | − | 0.571763i | |||||
−55.9995 | + | 87.1369i | −2.37491 | + | 3.69543i | |||||
2.82928 | + | 0.406789i | 0.119881 | + | 0.0172362i | 0.201994 | − | 0.979387i | ||
−0.0821134 | + | 0.996623i | ||||||||
28.8881 | − | 9.32830i | 1.22293 | − | 0.394898i | |||||
−10.3417 | + | 4.72291i | −0.437409 | + | 0.199758i | |||||
−93.4491 | + | 49.5754i | −3.94895 | + | 2.09494i | |||||
19.6694 | − | 0.263020i | 0.830445 | − | 0.0111047i | |||||
14.3866 | − | 31.5023i | 0.606863 | − | 1.32884i | |||||
−37.7291 | + | 11.0782i | −1.59009 | + | 0.466893i | −0.952766 | − | 0.303704i | ||
−0.637323 | + | 0.770596i | ||||||||
43.2978 | − | 6.81737i | 1.82317 | − | 0.287063i | |||||
−14.6160 | − | 6.67489i | −0.614899 | − | 0.280815i | |||||
4.32373 | + | 30.0722i | 0.181740 | + | 1.26403i | |||||
23.8011 | + | 0.713285i | 0.999551 | + | 0.0299552i | |||||
−5.78198 | − | 12.6608i | −0.242606 | − | 0.531234i | |||||
−9.75515 | − | 15.1793i | −0.408957 | − | 0.636350i | 0.574285 | − | 0.818656i | ||
−0.983242 | + | 0.182306i | ||||||||
−14.7754 | + | 52.9286i | −0.618875 | + | 2.21693i | |||||
7.68936 | + | 4.94165i | 0.321790 | + | 0.206802i | 0.691556 | − | 0.722323i | ||
−0.369766 | + | 0.929125i | ||||||||
−18.2032 | + | 21.0076i | −0.761113 | + | 0.878371i | |||||
6.54594 | − | 14.8561i | 0.273460 | − | 0.620624i | |||||
−61.2349 | − | 14.0954i | −2.55590 | − | 0.588329i | |||||
−1.45612 | − | 0.603931i | −0.0607242 | − | 0.0251857i | |||||
−120.678 | − | 31.9553i | −5.02826 | − | 1.33147i | |||||
−9.82120 | + | 33.4479i | −0.408862 | + | 1.39246i | 0.455791 | + | 0.890087i | ||
−0.864653 | + | 0.502369i | ||||||||
−8.73291 | − | 7.56711i | −0.363241 | − | 0.314750i | |||||
14.8973 | + | 12.5638i | 0.619109 | + | 0.522132i | |||||
−57.8077 | − | 8.31149i | −2.40033 | − | 0.345116i | |||||
−10.1632 | − | 28.2845i | −0.421641 | − | 1.17344i | |||||
−5.12504 | − | 16.6285i | −0.212440 | − | 0.689272i | |||||
−9.36164 | − | 10.8039i | −0.387719 | − | 0.447452i | |||||
8.42495 | + | 58.5968i | 0.348627 | + | 2.42475i | |||||
8.20201 | + | 6.73166i | 0.339111 | + | 0.278320i | |||||
2.03805 | + | 6.94095i | 0.0841910 | + | 0.286728i | |||||
2.20991 | − | 0.648887i | 0.0912126 | − | 0.0267824i | −0.235808 | − | 0.971800i | ||
0.327020 | + | 0.945017i | ||||||||
58.7865 | − | 36.8955i | 2.42431 | − | 1.52155i | |||||
−2.56231 | − | 17.8212i | −0.105578 | − | 0.734311i | |||||
12.0387 | − | 10.4316i | 0.495624 | − | 0.429461i | |||||
−3.12730 | + | 0.963860i | −0.128640 | + | 0.0396479i | |||||
73.8281 | − | 47.4464i | 3.03432 | − | 1.95004i | |||||
1.46769 | − | 10.2080i | 0.0602709 | − | 0.419193i | −0.937240 | − | 0.348684i | ||
0.997511 | − | 0.0705090i | ||||||||
−26.2683 | − | 37.4794i | −1.07780 | − | 1.53780i | |||||
−12.9043 | − | 17.6780i | −0.529024 | − | 0.724727i | |||||
−16.4085 | + | 55.8822i | −0.672118 | + | 2.28903i | |||||
−1.54751 | + | 11.8896i | −0.0633352 | + | 0.486610i | |||||
14.9537 | − | 13.9095i | 0.611502 | − | 0.568801i | |||||
− | 15.2575i | − | 0.623405i | −0.950180 | − | 0.311703i | ||||
0.950180 | − | 0.311703i | ||||||||
2.37628 | − | 5.39300i | 0.0970111 | − | 0.220168i | |||||
−31.8021 | − | 27.5567i | −1.29724 | − | 1.12406i | −0.984719 | − | 0.174150i | ||
−0.312518 | − | 0.949912i | ||||||||
−38.1142 | − | 39.0436i | −1.55342 | − | 1.59130i | |||||
9.24309 | − | 21.7614i | 0.376408 | − | 0.886192i | |||||
−52.6923 | + | 33.8633i | −2.14402 | + | 1.37788i | |||||
−0.916992 | − | 2.00793i | −0.0372810 | − | 0.0816341i | |||||
−77.2531 | + | 51.1199i | −3.13819 | + | 2.07660i | |||||
11.7656 | − | 1.69164i | 0.477552 | − | 0.0686616i | 0.100664 | − | 0.994920i | ||
0.376888 | + | 0.926259i | ||||||||
−56.3623 | + | 123.416i | −2.28579 | + | 5.00518i | |||||
20.2034 | + | 1.41804i | 0.818684 | + | 0.0574619i | |||||
11.1874 | − | 3.28493i | 0.452966 | − | 0.133003i | |||||
−6.16123 | − | 2.81374i | −0.249257 | − | 0.113832i | |||||
7.12650 | − | 61.1291i | 0.288072 | − | 2.47100i | |||||
−3.34273 | − | 3.85772i | −0.135012 | − | 0.155812i | 0.684218 | − | 0.729278i | ||
−0.819229 | + | 0.573466i | ||||||||
−29.3241 | − | 64.2109i | −1.18343 | − | 2.59134i | |||||
30.8862 | − | 14.6075i | 1.24545 | − | 0.589030i | |||||
−80.9516 | − | 31.3091i | −3.26163 | − | 1.26148i | |||||
−21.0021 | + | 32.6799i | −0.845512 | + | 1.31564i | 0.101628 | + | 0.994823i | ||
−0.947140 | + | 0.320821i | ||||||||
50.4966 | − | 44.9517i | 2.03127 | − | 1.80822i | |||||
2.03990 | − | 6.94726i | 0.0819905 | − | 0.279234i | −0.908285 | − | 0.418351i | ||
0.990276 | + | 0.139117i | ||||||||
48.1113i | 1.93220i | |||||||||
12.0292 | + | 21.8243i | 0.482713 | + | 0.875778i | |||||
− | 17.9502i | − | 0.719738i | |||||||
4.39724 | − | 7.82731i | 0.176172 | − | 0.313594i | |||||
30.5633 | + | 34.3334i | 1.22351 | + | 1.37444i | |||||
−22.3230 | − | 14.3462i | −0.892922 | − | 0.573846i | |||||
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−66.5658 | + | 30.3996i | −2.65626 | + | 1.21308i | |||||
11.8905 | + | 13.7224i | 0.474107 | + | 0.547149i | |||||
−17.0927 | + | 47.9688i | −0.680988 | + | 1.91112i | |||||
11.0313 | − | 24.1552i | 0.439150 | − | 0.961605i | −0.552603 | − | 0.833444i | ||
0.991753 | − | 0.128160i | ||||||||
−19.3903 | − | 66.0373i | −0.771305 | − | 2.62682i | |||||
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−3.71278 | − | 1.57699i | −0.146875 | − | 0.0623849i | |||||
75.8548 | − | 118.032i | 2.99843 | − | 4.66564i | |||||
24.8743 | + | 21.5537i | 0.982477 | + | 0.851321i | 0.988889 | − | 0.148658i | ||
−0.00641177 | + | 0.999979i | ||||||||
−16.8236 | − | 7.41286i | −0.663976 | − | 0.292562i | |||||
44.4492i | 1.75290i | 0.481489 | + | 0.876452i | ||||||
−0.481489 | + | 0.876452i | ||||||||
64.5407 | + | 33.3227i | 2.54326 | + | 1.31310i | |||||
29.4196 | + | 3.82914i | 1.15840 | + | 0.150772i | |||||
−47.2583 | − | 13.8763i | −1.85935 | − | 0.545955i | |||||
24.9141 | − | 28.7524i | 0.979473 | − | 1.13037i | −0.0119832 | − | 0.999928i | ||
0.991456 | − | 0.130443i | ||||||||
−82.5536 | + | 43.1762i | −3.24301 | + | 1.69612i | |||||
7.78861 | + | 1.11983i | 0.305730 | + | 0.0439573i | |||||
−1.17754 | + | 0.756759i | −0.0461869 | + | 0.0296825i | |||||
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51.0879 | + | 58.9586i | 2.00076 | + | 2.30900i | |||||
8.40847 | − | 1.20896i | 0.329049 | − | 0.0473101i | 0.0241893 | − | 0.999707i | ||
0.304860 | + | 0.952397i | ||||||||
19.1159 | + | 11.9269i | 0.747490 | + | 0.466379i | |||||
33.8568 | − | 9.94125i | 1.32289 | − | 0.388437i | |||||
142.015 | − | 41.6992i | 5.54474 | − | 1.62808i | |||||
13.2621 | + | 10.8847i | 0.517404 | + | 0.424651i | |||||
2.70934 | − | 32.3934i | 0.105621 | − | 1.26283i | |||||
17.0091 | − | 14.7385i | 0.662582 | − | 0.574131i | −0.257297 | − | 0.966332i | ||
0.919879 | + | 0.392202i | ||||||||
69.3185 | − | 21.3646i | 2.69822 | − | 0.831614i | |||||
6.85632 | + | 10.6686i | 0.266680 | + | 0.414962i | 0.948606 | − | 0.316459i | ||
−0.681926 | + | 0.731421i | ||||||||
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88.8679 | + | 77.0045i | 3.44874 | + | 2.98835i | |||||
26.3316 | + | 14.7926i | 1.02110 | + | 0.573633i | |||||
10.8140 | − | 40.8385i | 0.419032 | − | 1.58246i | |||||
9.47877 | + | 18.9580i | 0.367019 | + | 0.734058i | |||||
−25.0726 | −0.970090 | |||||||||
10.8302 | − | 24.5793i | 0.418719 | − | 0.950290i | |||||
38.2124 | + | 33.1113i | 1.47627 | + | 1.27920i | |||||
4.84527 | + | 3.11387i | 0.187050 | + | 0.120210i | |||||
−60.1092 | + | 110.430i | −2.31876 | + | 4.25992i | |||||
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0.375578 | + | 0.926791i | ||||||||
73.7860 | − | 33.6969i | 2.84213 | − | 1.29796i | |||||
−0.546525 | − | 1.61817i | −0.0210358 | − | 0.0622836i | |||||
8.67825 | + | 60.3585i | 0.333779 | + | 2.32148i | |||||
17.4952 | − | 38.3092i | 0.672395 | − | 1.47234i | −0.198109 | − | 0.980180i | ||
0.870505 | − | 0.492160i | ||||||||
−33.1001 | + | 5.21170i | −1.27120 | + | 0.200154i | |||||
−9.54655 | + | 0.567303i | −0.366363 | + | 0.0217711i | |||||
77.8930 | + | 35.5725i | 2.98706 | + | 1.36414i | |||||
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38.9601 | − | 17.7925i | 1.49077 | − | 0.680810i | 0.507277 | − | 0.861783i | ||
0.983488 | + | 0.180973i | ||||||||
26.0965 | + | 80.8162i | 0.997824 | + | 3.09008i | |||||
20.6683 | + | 2.97165i | 0.789694 | + | 0.113541i | |||||
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−0.135237 | − | 0.151919i | −0.00515960 | − | 0.00579606i | |||||
123.316 | + | 36.2088i | 4.70138 | + | 1.38045i | |||||
6.91146 | 0.263306 | |||||||||
−52.3197 | + | 10.1386i | −1.99178 | + | 0.385968i | |||||
− | 24.3874i | − | 0.927740i | −0.885903 | − | 0.463870i | ||||
0.885903 | − | 0.463870i | ||||||||
−84.0951 | − | 24.6926i | −3.19682 | − | 0.938670i | |||||
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12.7213 | + | 27.8558i | 0.481854 | + | 1.05511i | |||||
51.5741 | + | 59.5197i | 1.95211 | + | 2.25285i | |||||
27.3831 | − | 0.366167i | 1.03572 | − | 0.0138497i | |||||
−3.94914 | − | 3.03119i | −0.149264 | − | 0.114568i | |||||
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0.603542 | − | 0.797331i | ||||||||
22.0109 | + | 2.26819i | 0.830747 | + | 0.0856072i | |||||
−22.7916 | − | 10.4086i | −0.859603 | − | 0.392567i | |||||
130.535 | − | 18.7681i | 4.91973 | − | 0.707351i | |||||
9.75376 | + | 14.7400i | 0.367348 | + | 0.555141i | |||||
11.5862 | − | 5.29124i | 0.436053 | − | 0.199139i | |||||
17.2165 | + | 47.9139i | 0.647493 | + | 1.80199i | |||||
6.61922 | − | 23.7114i | 0.248766 | − | 0.891127i | |||||
21.1148 | + | 13.5696i | 0.792981 | + | 0.509618i | 0.873318 | − | 0.487150i | ||
−0.0803373 | + | 0.996768i | ||||||||
5.64922 | − | 6.51955i | 0.212012 | − | 0.244674i | |||||
−17.0625 | − | 10.3314i | −0.639895 | − | 0.387458i | |||||
35.1257i | 1.31639i | |||||||||
14.3473 | − | 9.95168i | 0.537311 | − | 0.372693i | |||||
−42.7856 | − | 15.8936i | −1.60121 | − | 0.594802i | |||||
−10.7551 | − | 3.15799i | −0.402218 | − | 0.118102i | |||||
88.4590 | + | 76.6502i | 3.30587 | + | 2.86455i | |||||
−4.21514 | + | 4.99803i | −0.157417 | + | 0.186655i | |||||
−0.480800 | + | 3.34404i | −0.0179433 | + | 0.124798i | |||||
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−0.0832950 | + | 0.996525i | ||||||||
−20.2391 | − | 118.229i | −0.754267 | − | 4.40614i | |||||
−17.4133 | − | 32.8239i | −0.648505 | − | 1.22243i | |||||
15.0054 | − | 2.15745i | 0.558442 | − | 0.0802919i | |||||
−13.6081 | − | 8.49044i | −0.506089 | − | 0.315763i | |||||
−24.4188 | − | 83.1628i | −0.907518 | − | 3.09072i | |||||
−0.409279 | − | 1.39388i | −0.0152002 | − | 0.0517672i | |||||
−3.90546 | − | 2.43672i | −0.144945 | − | 0.0904353i | |||||
−37.2977 | + | 5.36260i | −1.38329 | + | 0.198888i | −0.793453 | − | 0.608631i | ||
−0.589842 | + | 0.807519i | ||||||||
37.0693 | − | 19.6655i | 1.37388 | − | 0.728853i | |||||
−9.21185 | + | 25.3799i | −0.341180 | + | 0.939998i | |||||
−30.8667 | + | 19.8368i | −1.14243 | + | 0.734193i | |||||
−3.78430 | + | 26.3204i | −0.139967 | + | 0.973495i | |||||
11.6170 | − | 13.7747i | 0.429378 | − | 0.509128i | |||||
−8.98240 | − | 7.78329i | −0.331772 | − | 0.287482i | 0.473004 | − | 0.881060i | ||
−0.804777 | + | 0.593578i | ||||||||
−1.69206 | − | 0.496833i | −0.0624550 | − | 0.0183384i | |||||
23.3813 | + | 15.3828i | 0.862434 | + | 0.567405i | |||||
−131.499 | + | 4.63563i | −4.84710 | + | 0.170871i | |||||
24.9764i | 0.920017i | |||||||||
36.9039 | − | 60.9476i | 1.35845 | − | 2.24351i | |||||
32.5350 | − | 37.5474i | 1.19682 | − | 1.38120i | 0.291443 | − | 0.956588i | ||
0.905375 | − | 0.424614i | ||||||||
56.3253 | + | 36.1981i | 2.07056 | + | 1.33067i | |||||
3.52866 | − | 12.6404i | 0.129629 | − | 0.464355i | |||||
11.2164 | + | 31.2155i | 0.411766 | + | 1.14596i | |||||
−3.08830 | + | 1.41038i | −0.113299 | + | 0.0517418i | −0.471258 | − | 0.881995i | ||
0.357959 | + | 0.933737i | ||||||||
36.0226 | + | 54.4379i | 1.32065 | + | 1.99579i | |||||
−23.2468 | + | 3.34239i | −0.851698 | + | 0.122456i | |||||
4.40686 | + | 2.01255i | 0.161347 | + | 0.0736845i | |||||
34.0670 | − | 0.911251i | 1.24645 | − | 0.0333409i | |||||
18.3165 | + | 62.3803i | 0.669718 | + | 2.28085i | |||||
−6.15222 | + | 8.01533i | −0.224797 | + | 0.292874i | |||||
−51.9045 | + | 0.694067i | −1.89528 | + | 0.0253437i | |||||
8.15612 | + | 9.41266i | 0.297621 | + | 0.343473i | 0.884789 | − | 0.465992i | ||
−0.587168 | + | 0.809465i | ||||||||
31.8078 | + | 69.6494i | 1.15991 | + | 2.53985i | |||||
−39.8697 | + | 18.8562i | −1.45293 | + | 0.687158i | |||||
18.6289 | + | 2.67844i | 0.678426 | + | 0.0975430i | |||||
−21.2482 | − | 13.6554i | −0.773301 | − | 0.496971i | |||||
18.8802 | + | 76.4002i | 0.686666 | + | 2.77865i | |||||
30.6528 | + | 9.00047i | 1.11409 | + | 0.327128i | 0.786438 | − | 0.617669i | ||
0.327657 | + | 0.944797i | ||||||||
67.6210i | 2.45611i | |||||||||
−20.7095 | − | 16.2523i | −0.751705 | − | 0.589921i | |||||
−118.165 | −4.28630 | |||||||||
−15.2475 | − | 4.47706i | −0.552720 | − | 0.162293i | −0.00656669 | − | 0.999978i | ||
−0.546153 | + | 0.837685i | ||||||||
−13.9176 | − | 15.6344i | −0.504181 | − | 0.566373i | |||||
8.86130 | − | 8.65036i | 0.320800 | − | 0.313164i | |||||
53.1088 | + | 7.63589i | 1.92141 | + | 0.276257i | |||||
23.6165 | − | 7.62605i | 0.853858 | − | 0.275721i | |||||
58.4925 | − | 26.7126i | 2.11342 | − | 0.965166i | |||||
−2.87507 | + | 2.49126i | −0.103813 | + | 0.0899542i | |||||
−1.98476 | − | 148.427i | −0.0716190 | − | 5.35588i | |||||
27.0063 | + | 12.3334i | 0.973873 | + | 0.444753i | 0.837819 | − | 0.545949i | ||
0.136054 | + | 0.990701i | ||||||||
−3.19114 | − | 53.7003i | −0.115001 | − | 1.93522i | |||||
−23.3330 | + | 3.67384i | −0.840316 | + | 0.132310i | |||||
−26.7560 | + | 58.5874i | −0.962969 | + | 2.10861i | |||||
−5.64336 | − | 39.2504i | −0.202977 | − | 1.41174i | −0.795387 | − | 0.606102i | ||
0.592410 | − | 0.805637i | ||||||||
55.5701 | − | 27.1967i | 1.99743 | − | 0.977565i | |||||
−1.08860 | + | 0.497145i | −0.0391035 | + | 0.0178580i | |||||
31.4767 | − | 20.2288i | 1.12995 | − | 0.726173i | |||||
−20.3934 | − | 11.1005i | −0.731609 | − | 0.398230i | |||||
−48.1956 | − | 30.9734i | −1.72790 | − | 1.11045i | |||||
−31.9363 | − | 27.6729i | −1.14424 | − | 0.991486i | |||||
−14.1403 | + | 32.0917i | −0.506304 | + | 1.14907i | |||||
4.26130 | 0.152481 | |||||||||
−8.45932 | − | 47.0112i | −0.302505 | − | 1.68112i | |||||
−8.69455 | + | 21.2554i | −0.310718 | + | 0.759605i | |||||
89.6915 | + | 81.5824i | 3.20327 | + | 2.91366i | |||||
−22.3017 | − | 19.3245i | −0.795982 | − | 0.689723i | |||||
47.4399 | − | 56.2510i | 1.69213 | − | 2.00641i | |||||
6.70153 | + | 0.963535i | 0.238884 | + | 0.0343463i | 0.260717 | − | 0.965415i | ||
−0.0218330 | + | 0.999762i | ||||||||
−5.84734 | − | 9.09864i | −0.208303 | − | 0.324126i | |||||
27.4322 | − | 8.45485i | 0.976613 | − | 0.301001i | |||||
32.2382 | − | 27.9346i | 1.14698 | − | 0.993868i | |||||
−1.53495 | + | 18.3521i | −0.0545765 | + | 0.652527i | |||||
62.4373 | − | 76.0751i | 2.21861 | − | 2.70321i | |||||
−2.67178 | + | 0.784504i | −0.0948775 | + | 0.0278586i | |||||
95.7158 | − | 28.1047i | 3.39683 | − | 0.997398i | |||||
−15.3014 | − | 9.54694i | −0.542684 | − | 0.338595i | |||||
−39.2236 | + | 5.63950i | −1.39024 | + | 0.199887i | |||||
−8.70235 | − | 10.0430i | −0.308253 | − | 0.355743i | 0.580393 | − | 0.814336i | ||
−0.888646 | + | 0.458594i | ||||||||
62.8165 | − | 4.57649i | 2.22368 | − | 0.162006i | |||||
−13.3271 | + | 8.56482i | −0.471480 | + | 0.303002i | |||||
8.92654 | + | 1.28344i | 0.315601 | + | 0.0453766i | |||||
6.86979 | + | 7.51250i | 0.242732 | + | 0.265441i | |||||
−4.41607 | + | 5.09641i | −0.155937 | + | 0.179961i | |||||
−17.3903 | − | 5.10626i | −0.613691 | − | 0.180196i | |||||
77.4872 | + | 10.0854i | 2.73276 | + | 0.355686i | |||||
−1.41144 | + | 29.2563i | −0.0497469 | + | 1.03115i | |||||
− | 15.5042i | − | 0.546113i | |||||||
−13.3124 | − | 5.86575i | −0.468620 | − | 0.206484i | |||||
−150.542 | − | 130.446i | −5.29606 | − | 4.58906i | |||||
−12.7835 | + | 19.8915i | −0.449444 | + | 0.699349i | −0.989860 | − | 0.142050i | ||
0.540415 | + | 0.841398i | ||||||||
−45.5971 | − | 35.4257i | −1.60212 | − | 1.24473i | |||||
−0.707806 | − | 1.10137i | −0.0248544 | − | 0.0386742i | 0.828604 | − | 0.559835i | ||
−0.853458 | + | 0.521161i | ||||||||
13.4397 | + | 65.5740i | 0.471640 | + | 2.30120i | |||||
−0.871384 | + | 0.576612i | −0.0305608 | + | 0.0202227i | |||||
6.35130 | + | 44.1743i | 0.222613 | + | 1.54831i | |||||
−13.0685 | + | 28.6161i | −0.457771 | + | 1.00238i | |||||
106.201 | − | 16.7217i | 3.71779 | − | 0.585377i | |||||
−10.3378 | − | 35.2074i | −0.361675 | − | 1.23175i | |||||
1.49662 | − | 3.27715i | 0.0523282 | − | 0.114583i | |||||
4.08206 | − | 11.4559i | 0.142639 | − | 0.400301i | |||||
73.9472 | + | 85.3397i | 2.58235 | + | 2.98019i | |||||
−43.2392 | + | 19.7467i | −1.50906 | + | 0.689164i | −0.986549 | − | 0.163469i | ||
−0.522511 | + | 0.852633i | ||||||||
39.3639 | − | 18.6170i | 1.37297 | − | 0.649341i | |||||
−4.94775 | + | 34.4124i | −0.172468 | + | 1.19954i | 0.701181 | + | 0.712983i | ||
−0.873649 | + | 0.486557i | ||||||||
122.297 | + | 78.5955i | 4.26042 | + | 2.73801i | |||||
1.19969 | + | 1.34768i | 0.0417679 | + | 0.0469201i | |||||
−15.9176 | − | 8.94220i | −0.553843 | − | 0.311139i | |||||
− | 34.2214i | − | 1.18999i | −0.803728 | − | 0.594997i | ||||
0.803728 | − | 0.594997i | ||||||||
−58.7839 | + | 57.6867i | −2.04288 | + | 2.00475i | |||||
3.94347i | 0.136962i | 0.997652 | + | 0.0684811i | ||||||
−0.997652 | + | 0.0684811i | ||||||||
−20.5329 | + | 69.9286i | −0.712707 | + | 2.42726i | |||||
−24.6187 | + | 21.9154i | −0.854015 | + | 0.760237i | |||||
−34.4704 | + | 53.6370i | −1.19505 | + | 1.85953i | |||||
−14.0666 | + | 20.7704i | −0.487377 | + | 0.719650i | |||||
−78.7411 | + | 37.2402i | −2.72658 | + | 1.28952i | |||||
−4.20008 | − | 9.19689i | −0.145350 | − | 0.318272i | |||||
−58.7505 | − | 67.8017i | −2.03193 | − | 2.34497i | |||||
18.3512 | + | 4.59768i | 0.634309 | + | 0.158919i | |||||
−31.9346 | − | 14.5841i | −1.10316 | − | 0.503798i | |||||
−3.97127 | + | 1.16607i | −0.137104 | + | 0.0402573i | −0.349564 | − | 0.936912i | ||
0.212461 | + | 0.977170i | ||||||||
−109.233 | − | 7.66685i | −3.76889 | − | 0.264531i | |||||
3.93281 | − | 8.61166i | 0.135614 | − | 0.296954i | |||||
−49.5143 | + | 7.11907i | −1.70637 | + | 0.245340i | |||||
17.9987 | − | 11.9101i | 0.619910 | − | 0.410206i | |||||
−20.8384 | − | 45.6298i | −0.717288 | − | 1.57064i | |||||
−20.6863 | + | 13.2943i | −0.711632 | + | 0.457338i | |||||
33.9255 | + | 14.4098i | 1.16638 | + | 0.495418i | |||||
−1.81040 | + | 1.76731i | −0.0622062 | + | 0.0607254i | |||||
−59.0469 | − | 51.1644i | −2.02768 | − | 1.75699i | |||||
−7.63434 | + | 17.3263i | −0.262010 | + | 0.594637i | |||||
3.27383i | 0.112292i | |||||||||
−0.856076 | − | 24.2842i | −0.0293459 | − | 0.832453i | |||||
1.72071 | − | 13.2204i | 0.0589505 | − | 0.452922i | |||||
−0.429722 | + | 1.46350i | −0.0147134 | + | 0.0501092i | −0.966522 | − | 0.256582i | ||
0.951809 | + | 0.306691i | ||||||||
−7.87914 | − | 10.7939i | −0.269619 | − | 0.369359i | |||||
−25.2726 | + | 23.1105i | −0.864304 | + | 0.790361i | |||||
5.62605 | − | 39.1300i | 0.192294 | − | 1.33744i | |||||
11.5127 | − | 7.39877i | 0.393267 | − | 0.252737i | −0.329031 | − | 0.944319i | ||
0.722298 | + | 0.691582i | ||||||||
−22.3384 | + | 6.88489i | −0.762620 | + | 0.235046i | |||||
−22.5246 | + | 19.5176i | −0.768528 | + | 0.665933i | −0.948157 | − | 0.317801i | ||
0.179630 | + | 0.983734i | ||||||||
13.9544 | + | 97.0546i | 0.475839 | + | 3.30954i | |||||
−27.7266 | − | 27.6531i | −0.944920 | − | 0.942417i | |||||
−29.9403 | + | 8.79127i | −1.01977 | + | 0.299432i | |||||
−1.33351 | − | 4.54152i | −0.0453932 | − | 0.154595i | 0.933678 | − | 0.358114i | ||
−0.979071 | + | 0.203519i | ||||||||
−97.6050 | − | 103.912i | −3.32059 | − | 3.53515i | |||||
−5.02984 | − | 34.9833i | −0.171020 | − | 1.18947i | |||||
−5.78040 | − | 6.67093i | −0.196426 | − | 0.226688i | |||||
−2.12103 | − | 6.88179i | −0.0720339 | − | 0.233718i | |||||
51.8940 | − | 18.6466i | 1.76140 | − | 0.632908i | |||||
20.8571 | + | 2.99879i | 0.707527 | + | 0.101727i | |||||
−37.5431 | − | 31.6624i | −1.27283 | − | 1.07346i | |||||
−9.12587 | − | 7.90761i | −0.309218 | − | 0.267939i | |||||
−13.6500 | + | 46.4875i | −0.462246 | + | 1.57426i | |||||
2.77577 | − | 10.4826i | 0.0939455 | − | 0.354782i | |||||
37.5672 | + | 54.1605i | 1.27073 | + | 1.83201i | |||||
−6.39976 | + | 27.8027i | −0.216351 | + | 0.939901i | |||||
−22.8639 | + | 51.8901i | −0.772501 | + | 1.75321i | |||||
22.5572 | − | 26.0324i | 0.761702 | − | 0.879051i | −0.233945 | − | 0.972250i | ||
0.995648 | + | 0.0931985i | ||||||||
75.5350 | + | 48.5434i | 2.54918 | + | 1.63826i | |||||
−1.21216 | + | 4.34219i | −0.0408851 | + | 0.146458i | |||||
68.5065 | + | 106.598i | 2.30935 | + | 3.59342i | |||||
0.374052 | + | 0.819060i | 0.0126021 | + | 0.0275948i | 0.915828 | − | 0.401570i | ||
−0.903226 | + | 0.429165i | ||||||||
58.3650 | − | 0.154848i | 1.96525 | − | 0.00521399i | |||||
−3.70150 | − | 25.7445i | −0.124565 | − | 0.866371i | −0.952281 | − | 0.305223i | ||
0.827715 | − | 0.561148i | ||||||||
−28.5916 | − | 13.0573i | −0.961640 | − | 0.439166i | |||||
9.80638 | − | 1.54404i | 0.329638 | − | 0.0519025i | |||||
5.60719 | − | 1.64642i | 0.188377 | − | 0.0553125i | |||||
−11.5425 | + | 25.2746i | −0.387560 | + | 0.848638i | 0.610822 | + | 0.791768i | ||
−0.998382 | + | 0.0568697i | ||||||||
90.8346 | − | 1.21464i | 3.04821 | − | 0.0407607i | |||||
−10.1627 | + | 5.39137i | −0.340845 | + | 0.180821i | |||||
−19.8032 | + | 9.04383i | −0.663805 | + | 0.303150i | |||||
−1.52480 | − | 28.4819i | −0.0510829 | − | 0.954179i | |||||
87.8679 | + | 12.6335i | 2.94203 | + | 0.423001i | |||||
11.8189 | − | 18.3905i | 0.395503 | − | 0.615415i | |||||
−36.5821 | + | 32.5651i | −1.22349 | + | 1.08914i | |||||
−13.2977 | + | 45.2878i | −0.444493 | + | 1.51380i | |||||
−156.712 | − | 36.0727i | −5.23537 | − | 1.20510i | |||||
12.4949 | − | 2.42128i | 0.417194 | − | 0.0808443i | |||||
67.4839 | 2.25197 | |||||||||
15.4392 | + | 4.53336i | 0.514927 | + | 0.151196i | |||||
4.66549 | − | 3.17775i | 0.155516 | − | 0.105925i | |||||
8.73949 | − | 13.5989i | 0.291155 | − | 0.453046i | |||||
−10.7117 | + | 74.5017i | −0.356661 | + | 2.48063i | |||||
−7.27202 | − | 33.2167i | −0.241998 | − | 1.10538i | |||||
−29.9318 | − | 65.5415i | −0.995517 | − | 2.17988i | |||||
26.4144 | − | 22.8882i | 0.878044 | − | 0.760829i | |||||
−52.6673 | + | 0.704268i | −1.74975 | + | 0.0233977i | |||||
15.0360 | − | 32.9243i | 0.499263 | − | 1.09323i | −0.477445 | − | 0.878661i | ||
0.976708 | − | 0.214572i | ||||||||
127.466 | − | 37.4274i | 4.23010 | − | 1.24207i | |||||
−57.7095 | + | 1.54366i | −1.91410 | + | 0.0512000i | |||||
20.6313 | + | 15.8357i | 0.683922 | + | 0.524949i | |||||
46.3607 | − | 6.66566i | 1.53600 | − | 0.220843i | 0.678218 | − | 0.734861i | ||
0.857779 | + | 0.514018i | ||||||||
−123.721 | + | 81.8687i | −4.09682 | + | 2.71095i | |||||
−32.7477 | + | 14.9554i | −1.08379 | + | 0.494951i | |||||
−56.4217 | − | 87.7939i | −1.86626 | − | 2.90396i | |||||
6.99874 | + | 1.95376i | 0.231371 | + | 0.0645892i | |||||
0.363427 | − | 0.565504i | 0.0120080 | − | 0.0186848i | |||||
−23.8448 | − | 32.6658i | −0.787425 | − | 1.07872i | |||||
32.2955 | − | 40.4403i | 1.06591 | − | 1.33473i | |||||
−21.8054 | −0.719292 | −0.359646 | − | 0.933089i | ||||||
−0.359646 | + | 0.933089i | ||||||||
−51.2483 | − | 102.499i | −1.68961 | − | 3.37931i | |||||
5.67787 | − | 43.6236i | 0.187092 | − | 1.43745i | |||||
−8.74988 | + | 29.7994i | −0.288162 | + | 0.981389i | |||||
−1.34914 | + | 1.55700i | −0.0444076 | + | 0.0512491i | |||||
−49.9102 | − | 66.4883i | −1.64193 | − | 2.18730i | |||||
−0.237017 | + | 1.64849i | −0.00779308 | + | 0.0542021i | |||||
26.8675 | + | 41.8066i | 0.882919 | + | 1.37385i | |||||
41.5278 | − | 7.10896i | 1.36395 | − | 0.233489i | |||||
−79.4069 | − | 91.6404i | −2.60666 | − | 3.00824i | |||||
−6.00589 | − | 41.7719i | −0.197047 | − | 1.37049i | −0.812795 | − | 0.582549i | ||
0.615748 | − | 0.787943i | ||||||||
−21.4163 | + | 34.3251i | −0.702269 | + | 1.12556i | |||||
5.75026 | − | 34.1351i | 0.188457 | − | 1.11873i | |||||
25.4996 | + | 86.8437i | 0.835268 | + | 2.84466i | |||||
5.92153 | − | 9.49074i | 0.193862 | − | 0.310713i | |||||
−28.7671 | + | 4.13609i | −0.941289 | + | 0.135337i | |||||
−19.8134 | + | 17.1684i | −0.647967 | + | 0.561467i | |||||
8.02842 | + | 46.8990i | 0.262417 | + | 1.53294i | |||||
−0.526204 | − | 0.818790i | −0.0171903 | − | 0.0267487i | 0.832552 | − | 0.553947i | ||
−0.849742 | + | 0.527198i | ||||||||
20.9045 | − | 54.0498i | 0.682556 | − | 1.76479i | |||||
−6.58930 | + | 7.81315i | −0.215034 | + | 0.254972i | |||||
−38.2545 | + | 44.1480i | −1.24772 | + | 1.43995i | |||||
−9.11700 | − | 2.67699i | −0.297206 | − | 0.0872674i | 0.129730 | − | 0.991549i | ||
−0.426936 | + | 0.904282i | ||||||||
−61.0235 | − | 7.94258i | −1.98825 | − | 0.258783i | |||||
10.1534 | − | 39.7041i | 0.330641 | − | 1.29294i | |||||
43.0051 | 1.39970 | |||||||||
−24.8616 | + | 19.7237i | −0.808748 | + | 0.641613i | |||||
−42.8001 | + | 49.3939i | −1.39155 | + | 1.60593i | |||||
6.20625 | − | 9.65711i | 0.201676 | − | 0.313814i | −0.725653 | − | 0.688061i | ||
0.927329 | + | 0.374247i | ||||||||
17.7256 | − | 63.4964i | 0.575699 | − | 2.06227i | |||||
7.37156 | − | 4.73741i | 0.239291 | − | 0.153783i | |||||
−1.87670 | − | 4.10941i | −0.0608883 | − | 0.133327i | |||||
−39.9120 | + | 26.4105i | −1.29423 | + | 0.856420i | |||||
8.18021 | − | 97.8041i | 0.265122 | − | 3.16985i | |||||
−46.9016 | − | 21.4192i | −1.51929 | − | 0.693837i | −0.531136 | − | 0.847287i | ||
−0.988156 | + | 0.153449i | ||||||||
−37.5972 | + | 1.00568i | −1.21725 | + | 0.0325601i | |||||
6.09567 | + | 20.7600i | 0.197251 | + | 0.671777i | |||||
−19.6561 | − | 8.97664i | −0.635723 | − | 0.290325i | |||||
−0.324376 | − | 24.2578i | −0.0104856 | − | 0.784144i | |||||
33.0412 | − | 28.6304i | 1.06751 | − | 0.925006i | |||||
−4.80516 | − | 23.4450i | −0.155167 | − | 0.757079i | |||||
150.405 | − | 71.1331i | 4.85429 | − | 2.29581i | |||||
−2.52528 | + | 17.5637i | −0.0814606 | + | 0.566571i | |||||
−18.1512 | − | 11.6651i | −0.585220 | − | 0.376098i | |||||
−6.44969 | − | 9.46926i | −0.207838 | − | 0.305143i | |||||
14.9349 | − | 50.8638i | 0.481022 | − | 1.63821i | |||||
−25.9725 | −0.836085 | |||||||||
31.2133 | + | 52.5038i | 1.00427 | + | 1.68928i | |||||
13.7459 | 0.442037 | 0.221019 | − | 0.975270i | ||||||
0.221019 | + | 0.975270i | ||||||||
2.78875 | − | 9.49760i | 0.0896338 | − | 0.305265i | |||||
−20.4091 | − | 22.9266i | −0.655634 | − | 0.736509i | |||||
19.5090 | + | 12.5377i | 0.626396 | + | 0.402560i | |||||
−7.41754 | + | 51.5902i | −0.238040 | + | 1.65561i | 0.423647 | + | 0.905827i | ||
−0.661688 | + | 0.749780i | ||||||||
−88.9785 | − | 6.77037i | −2.85399 | − | 0.217160i | |||||
9.61194 | + | 46.8979i | 0.308145 | + | 1.50348i | |||||
15.7319 | − | 13.6318i | 0.504082 | − | 0.436790i | |||||
−0.872240 | + | 0.0116636i | −0.0279340 | + | 0.000373534i | |||||
28.6334 | + | 13.0765i | 0.916534 | + | 0.418567i | |||||
8.38974 | + | 28.5728i | 0.268411 | + | 0.914125i | 0.977841 | + | 0.209349i | ||
−0.709430 | + | 0.704776i | ||||||||
10.2038 | + | 64.8054i | 0.326282 | + | 2.07225i | |||||
−9.78225 | − | 4.46740i | −0.312642 | − | 0.142779i | |||||
−28.1907 | + | 88.1002i | −0.900518 | + | 2.81426i | |||||
6.17253 | + | 12.6121i | 0.197074 | + | 0.402674i | |||||
−15.6590 | − | 34.2883i | −0.499697 | − | 1.09418i | |||||
26.7866 | − | 17.2147i | 0.854359 | − | 0.549063i | −0.0385726 | − | 0.999256i | ||
0.892931 | + | 0.450193i | ||||||||
147.568 | + | 41.1948i | 4.70429 | + | 1.31324i | |||||
2.35794 | − | 3.66903i | 0.0751304 | − | 0.116905i | |||||
28.8263 | − | 33.2673i | 0.918015 | − | 1.05945i | |||||
12.1186 | − | 16.2335i | 0.385741 | − | 0.516717i | |||||
43.3740 | 1.37991 | |||||||||
26.0563 | − | 24.2368i | 0.828542 | − | 0.770685i | |||||
58.9656 | + | 15.6140i | 1.87405 | + | 0.496244i | |||||
−13.3358 | − | 3.91574i | −0.423625 | − | 0.124387i | 0.0629696 | − | 0.998015i | ||
−0.486594 | + | 0.873628i | ||||||||
−65.4149 | + | 75.4929i | −2.07693 | + | 2.39690i | |||||
−37.3684 | − | 31.5151i | −1.18585 | − | 1.00010i | |||||
−9.22162 | − | 3.56659i | −0.292492 | − | 0.113125i | |||||
−8.63922 | − | 13.4429i | −0.273882 | − | 0.426168i | |||||
33.1744 | + | 107.636i | 1.05117 | + | 3.41058i | |||||
37.6630 | − | 32.6352i | 1.19280 | − | 1.03357i | 0.194185 | − | 0.980965i | ||
0.998616 | − | 0.0526021i | ||||||||
−81.3368 | + | 11.6945i | −2.57467 | + | 0.370182i | |||||
19.1897 | − | 18.0250i | 0.607135 | − | 0.570286i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.v.a.41.1 | ✓ | 600 | |
3.2 | odd | 2 | inner | 483.2.v.a.41.60 | yes | 600 | |
7.6 | odd | 2 | inner | 483.2.v.a.41.2 | yes | 600 | |
21.20 | even | 2 | inner | 483.2.v.a.41.59 | yes | 600 | |
23.9 | even | 11 | inner | 483.2.v.a.377.59 | yes | 600 | |
69.32 | odd | 22 | inner | 483.2.v.a.377.2 | yes | 600 | |
161.55 | odd | 22 | inner | 483.2.v.a.377.60 | yes | 600 | |
483.377 | even | 22 | inner | 483.2.v.a.377.1 | yes | 600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.v.a.41.1 | ✓ | 600 | 1.1 | even | 1 | trivial | |
483.2.v.a.41.2 | yes | 600 | 7.6 | odd | 2 | inner | |
483.2.v.a.41.59 | yes | 600 | 21.20 | even | 2 | inner | |
483.2.v.a.41.60 | yes | 600 | 3.2 | odd | 2 | inner | |
483.2.v.a.377.1 | yes | 600 | 483.377 | even | 22 | inner | |
483.2.v.a.377.2 | yes | 600 | 69.32 | odd | 22 | inner | |
483.2.v.a.377.59 | yes | 600 | 23.9 | even | 11 | inner | |
483.2.v.a.377.60 | yes | 600 | 161.55 | odd | 22 | inner |