Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [702,2,Mod(79,702)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(702, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("702.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 702.w (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 | 79.2 | ||
Character | 702.79 | ||
Dual form | 702.2.w.d.391.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | |||||
−1.55499 | − | 0.762899i | −0.897772 | − | 0.440460i | |||||
−0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | |||||
−0.368840 | + | 0.309494i | −0.164950 | + | 0.138410i | −0.721527 | − | 0.692387i | ||
0.556576 | + | 0.830797i | ||||||||
1.02133 | − | 1.39889i | 0.416956 | − | 0.571093i | |||||
−0.0350928 | + | 0.0127727i | −0.0132638 | + | 0.00482764i | −0.348644 | − | 0.937255i | ||
0.335380 | + | 0.942083i | ||||||||
0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | |||||
1.83597 | + | 2.37260i | 0.611990 | + | 0.790865i | |||||
−0.240744 | − | 0.416980i | −0.0761298 | − | 0.131861i | |||||
−1.22890 | − | 1.03117i | −0.370527 | − | 0.310909i | 0.438443 | − | 0.898759i | ||
−0.808970 | + | 0.587850i | ||||||||
1.20028 | + | 1.24873i | 0.346492 | + | 0.360477i | |||||
0.173648 | + | 0.984808i | 0.0481613 | + | 0.273137i | |||||
−0.00648489 | − | 0.0367776i | −0.00173316 | − | 0.00982924i | |||||
0.809655 | − | 0.199871i | 0.209052 | − | 0.0516065i | |||||
0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | |||||
−2.84400 | − | 4.92596i | −0.689772 | − | 1.19472i | −0.971911 | − | 0.235347i | ||
0.282139 | − | 0.959373i | ||||||||
−2.65536 | + | 1.39608i | −0.625875 | + | 0.329060i | |||||
0.721260 | − | 1.24926i | 0.165468 | − | 0.286600i | −0.771353 | − | 0.636407i | ||
0.936821 | + | 0.349808i | ||||||||
0.452450 | − | 0.164678i | 0.101171 | − | 0.0368232i | |||||
0.0643132 | + | 0.00691081i | 0.0140343 | + | 0.00150806i | |||||
1.22890 | − | 1.03117i | 0.262002 | − | 0.219846i | |||||
8.01307 | + | 2.91652i | 1.67084 | + | 0.608136i | 0.992010 | − | 0.126159i | ||
0.678830 | + | 0.734295i | ||||||||
−1.43818 | + | 0.965209i | −0.293568 | + | 0.197022i | |||||
−0.827984 | + | 4.69573i | −0.165597 | + | 0.939146i | |||||
−1.00000 | −0.196116 | |||||||||
−1.04486 | − | 5.09002i | −0.201084 | − | 0.979574i | |||||
0.0373450 | 0.00705754 | |||||||||
−0.722801 | + | 4.09921i | −0.134221 | + | 0.761204i | 0.841178 | + | 0.540758i | ||
−0.975399 | + | 0.220446i | ||||||||
0.0562396 | + | 0.832061i | 0.0102679 | + | 0.151913i | |||||
8.19771 | + | 2.98372i | 1.47235 | + | 0.535892i | 0.948738 | − | 0.316064i | ||
0.523614 | + | 0.851956i | ||||||||
−0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | |||||
1.12424 | + | 2.54098i | 0.195706 | + | 0.442327i | |||||
5.34498 | − | 1.94541i | 0.916656 | − | 0.333636i | |||||
0.00899056 | − | 0.0155721i | 0.00151968 | − | 0.00263217i | |||||
−0.913773 | − | 2.85745i | −0.152295 | − | 0.476242i | |||||
3.21107 | + | 5.56174i | 0.527897 | + | 0.914344i | 0.999471 | + | 0.0325176i | ||
−0.471575 | + | 0.881826i | ||||||||
1.10503 | + | 0.927234i | 0.179260 | + | 0.150417i | |||||
0.481288 | − | 1.66384i | 0.0770677 | − | 0.266428i | |||||
0.0836093 | + | 0.474172i | 0.0132198 | + | 0.0749732i | |||||
−0.304760 | − | 1.72838i | −0.0475956 | − | 0.269928i | 0.951718 | − | 0.306974i | ||
−0.999314 | + | 0.0370458i | ||||||||
−0.0179737 | + | 0.0621361i | −0.00277340 | + | 0.00958780i | |||||
9.34743 | + | 7.84342i | 1.42547 | + | 1.19611i | 0.948331 | + | 0.317283i | ||
0.477138 | + | 0.878828i | ||||||||
0.802106 | + | 1.38929i | 0.120922 | + | 0.209443i | |||||
−1.41148 | − | 0.306887i | −0.210412 | − | 0.0457481i | |||||
−4.26366 | + | 7.38488i | −0.628643 | + | 1.08884i | |||||
10.2441 | − | 3.72856i | 1.49426 | − | 0.543867i | 0.539695 | − | 0.841861i | ||
0.954568 | + | 0.297994i | ||||||||
−0.700808 | − | 1.58394i | −0.101153 | − | 0.228622i | |||||
−5.36124 | + | 4.49862i | −0.765892 | + | 0.642660i | |||||
−4.48061 | − | 1.63081i | −0.633655 | − | 0.230631i | |||||
0.664382 | + | 9.82949i | 0.0930321 | + | 1.37640i | |||||
0.173648 | − | 0.984808i | 0.0240807 | − | 0.136568i | |||||
−1.74510 | −0.239708 | −0.119854 | − | 0.992792i | ||||||
−0.119854 | + | 0.992792i | ||||||||
5.19413 | − | 0.145116i | 0.706831 | − | 0.0197477i | |||||
0.772408 | 0.104151 | |||||||||
−0.00648489 | + | 0.0367776i | −0.000866580 | + | 0.00491462i | |||||
−2.07461 | + | 1.39233i | −0.274788 | + | 0.184419i | |||||
−3.91142 | − | 1.42364i | −0.513595 | − | 0.186933i | |||||
−6.81878 | + | 5.72164i | −0.887730 | + | 0.744894i | −0.967753 | − | 0.251899i | ||
0.0800237 | + | 0.996793i | ||||||||
−0.829187 | − | 0.0891008i | −0.107048 | − | 0.0115029i | |||||
9.25156 | − | 3.36729i | 1.18454 | − | 0.431138i | 0.326737 | − | 0.945115i | ||
0.857804 | + | 0.513978i | ||||||||
−4.36191 | + | 7.55505i | −0.553963 | + | 0.959492i | |||||
−0.0947339 | − | 0.0598107i | −0.0119354 | − | 0.00753544i | |||||
−0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | |||||
−0.368840 | − | 0.309494i | −0.0457490 | − | 0.0383880i | |||||
−2.69760 | + | 0.665928i | −0.332051 | + | 0.0819701i | |||||
0.0256044 | + | 0.145210i | 0.00312808 | + | 0.0177402i | 0.986332 | − | 0.164771i | ||
−0.983204 | + | 0.182511i | ||||||||
0.987712 | + | 5.60159i | 0.119778 | + | 0.679293i | |||||
−10.2352 | − | 10.6483i | −1.23217 | − | 1.28191i | |||||
0.0137743 | + | 0.0115580i | 0.00164635 | + | 0.00138145i | |||||
0.488931 | + | 0.846853i | 0.0580254 | + | 0.100503i | 0.893579 | − | 0.448906i | ||
−0.835554 | + | 0.549409i | ||||||||
2.97271 | − | 0.403700i | 0.350338 | − | 0.0475765i | |||||
−1.32294 | + | 2.29141i | −0.154839 | + | 0.268189i | −0.933000 | − | 0.359875i | ||
0.778161 | + | 0.628064i | ||||||||
−6.03484 | + | 2.19650i | −0.701536 | + | 0.255338i | |||||
4.86987 | − | 6.67013i | 0.562324 | − | 0.770201i | |||||
−1.10503 | + | 0.927234i | −0.126756 | + | 0.106361i | |||||
0.0562963 | + | 0.0204902i | 0.00641556 | + | 0.00233507i | |||||
1.55499 | + | 0.762899i | 0.176068 | + | 0.0863813i | |||||
2.40733 | − | 13.6527i | 0.270846 | − | 1.53604i | −0.481010 | − | 0.876715i | ||
0.751856 | − | 0.659328i | ||||||||
−0.481487 | −0.0538319 | |||||||||
−2.25842 | + | 8.71203i | −0.250936 | + | 0.968004i | |||||
1.75505 | 0.193812 | |||||||||
1.13955 | − | 6.46269i | 0.125081 | − | 0.709372i | −0.856178 | − | 0.516681i | ||
0.981259 | − | 0.192691i | ||||||||
−0.0580710 | − | 0.0284904i | −0.00633606 | − | 0.00310856i | |||||
2.57354 | + | 0.936691i | 0.279139 | + | 0.101598i | |||||
−9.34743 | + | 7.84342i | −1.00796 | + | 0.845778i | |||||
4.25123 | − | 5.82280i | 0.455780 | − | 0.624269i | |||||
−1.50747 | + | 0.548673i | −0.160696 | + | 0.0584887i | |||||
−0.176290 | + | 0.305343i | −0.0186867 | + | 0.0323663i | −0.875218 | − | 0.483730i | ||
0.856531 | + | 0.516096i | ||||||||
0.547327 | − | 1.33675i | 0.0576933 | − | 0.140906i | |||||
−0.0186725 | − | 0.0323417i | −0.00195741 | − | 0.00339033i | |||||
−6.53231 | − | 5.48126i | −0.681041 | − | 0.571461i | |||||
−10.4711 | − | 10.8937i | −1.08580 | − | 1.12962i | |||||
1.89304 | + | 10.7360i | 0.195252 | + | 1.10733i | |||||
0.120608 | + | 0.684003i | 0.0123741 | + | 0.0701772i | |||||
1.68157 | − | 0.415112i | 0.171625 | − | 0.0423672i | |||||
14.4735 | + | 12.1447i | 1.46956 | + | 1.23310i | 0.916545 | + | 0.399932i | ||
0.553012 | + | 0.833173i | ||||||||
−3.49930 | − | 6.06097i | −0.353483 | − | 0.612250i | |||||
0.190323 | − | 4.80887i | 0.0191282 | − | 0.483310i | |||||
2.38409 | − | 4.12936i | 0.238409 | − | 0.412936i | |||||
−7.72979 | + | 2.81341i | −0.769143 | + | 0.279945i | −0.696638 | − | 0.717423i | ||
−0.0725050 | + | 0.997368i | ||||||||
−9.79552 | − | 1.05258i | −0.969901 | − | 0.104221i | |||||
10.3497 | − | 8.68447i | 1.01979 | − | 0.855706i | 0.0301893 | − | 0.999544i | ||
0.989601 | + | 0.143838i | ||||||||
0.939693 | + | 0.342020i | 0.0921444 | + | 0.0335378i | |||||
−0.0258602 | + | 0.0173555i | −0.00252369 | + | 0.00169373i | |||||
0.303034 | − | 1.71859i | 0.0294332 | − | 0.166924i | |||||
−15.8582 | −1.53307 | −0.766535 | − | 0.642203i | ||||||
−0.766535 | + | 0.642203i | ||||||||
−0.759039 | + | 5.14041i | −0.0730386 | + | 0.494637i | |||||
−6.99918 | −0.670400 | −0.335200 | − | 0.942147i | ||||||
−0.335200 | + | 0.942147i | ||||||||
−0.134127 | + | 0.760673i | −0.0127885 | + | 0.0725273i | |||||
−0.750131 | − | 11.0982i | −0.0711993 | − | 1.05339i | |||||
−0.0350928 | − | 0.0127727i | −0.00331596 | − | 0.00120691i | |||||
9.32724 | − | 7.82649i | 0.877433 | − | 0.736254i | −0.0882165 | − | 0.996101i | ||
0.965650 | + | 0.259847i | ||||||||
−1.01093 | − | 2.28487i | −0.0946821 | − | 0.213997i | |||||
−3.85819 | + | 1.40427i | −0.359778 | + | 0.130948i | |||||
2.08122 | − | 3.60479i | 0.193237 | − | 0.334696i | |||||
−2.01774 | + | 2.22008i | −0.186540 | + | 0.205246i | |||||
−4.45064 | − | 7.70874i | −0.409715 | − | 0.709647i | |||||
0.162722 | + | 0.136540i | 0.0149167 | + | 0.0125166i | |||||
0.231734 | − | 0.801117i | 0.0211543 | − | 0.0731317i | |||||
−1.46325 | − | 8.29848i | −0.133022 | − | 0.754408i | |||||
1.70962 | + | 9.69573i | 0.154782 | + | 0.877810i | |||||
−0.844682 | + | 2.92011i | −0.0761624 | + | 0.263298i | |||||
−6.68283 | − | 5.60756i | −0.600136 | − | 0.503574i | |||||
−2.35162 | − | 4.07313i | −0.210336 | − | 0.364312i | |||||
0.0753524 | − | 0.0829087i | 0.00671292 | − | 0.00738609i | |||||
−7.84671 | + | 13.5909i | −0.696283 | + | 1.20600i | 0.273464 | + | 0.961882i | ||
−0.969746 | + | 0.244115i | ||||||||
0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | |||||
−8.55139 | − | 19.3276i | −0.752908 | − | 1.70170i | |||||
0.368840 | − | 0.309494i | 0.0323494 | − | 0.0271444i | |||||
7.80836 | + | 2.84201i | 0.682220 | + | 0.248308i | 0.659800 | − | 0.751441i | ||
0.0224193 | + | 0.999749i | ||||||||
−0.187378 | − | 2.77225i | −0.0163092 | − | 0.241294i | |||||
−0.00935458 | + | 0.0530525i | −0.000811145 | + | 0.00460023i | |||||
−0.147450 | −0.0127377 | |||||||||
1.96072 | + | 1.55403i | 0.168752 | + | 0.133749i | |||||
−5.68801 | −0.487742 | |||||||||
0.391707 | − | 2.22148i | 0.0334658 | − | 0.189794i | −0.963492 | − | 0.267737i | ||
0.996958 | + | 0.0779431i | ||||||||
12.2639 | − | 8.23065i | 1.04397 | − | 0.700640i | |||||
−6.84838 | − | 2.49260i | −0.580872 | − | 0.211420i | 0.0348382 | − | 0.999393i | ||
−0.615710 | + | 0.787973i | ||||||||
−0.0137743 | + | 0.0115580i | −0.00116414 | + | 0.000976833i | |||||
−18.7740 | − | 2.01738i | −1.58106 | − | 0.169894i | |||||
−0.918889 | + | 0.334448i | −0.0771114 | + | 0.0280663i | |||||
0.802106 | − | 1.38929i | 0.0670755 | − | 0.116178i | |||||
−0.118640 | + | 2.99765i | −0.00988664 | + | 0.249804i | |||||
−1.00208 | − | 1.73566i | −0.0832184 | − | 0.144138i | |||||
−2.02687 | − | 1.70074i | −0.167745 | − | 0.140755i | |||||
11.7687 | − | 2.90521i | 0.970662 | − | 0.239617i | |||||
−1.11519 | − | 6.32457i | −0.0916683 | − | 0.519877i | |||||
2.29272 | + | 13.0027i | 0.187827 | + | 1.06522i | 0.922269 | + | 0.386549i | ||
−0.734442 | + | 0.678672i | ||||||||
5.72316 | + | 5.95414i | 0.467294 | + | 0.486154i | |||||
10.3685 | + | 8.70020i | 0.843776 | + | 0.708012i | 0.958410 | − | 0.285396i | ||
−0.114634 | + | 0.993408i | ||||||||
−0.721260 | − | 1.24926i | −0.0585019 | − | 0.101328i | |||||
6.46580 | − | 15.7916i | 0.522729 | − | 1.27667i | |||||
−0.0299546 | + | 0.0518830i | −0.00241381 | + | 0.00418085i | |||||
−3.94709 | + | 1.43662i | −0.317038 | + | 0.115392i | |||||
−1.02133 | + | 1.39889i | −0.0817718 | + | 0.112001i | |||||
1.04089 | − | 0.873409i | 0.0830719 | − | 0.0697056i | −0.600306 | − | 0.799770i | ||
0.683378 | + | 0.730065i | ||||||||
13.0272 | + | 4.74152i | 1.03639 | + | 0.377215i | |||||
2.71361 | + | 1.33134i | 0.215203 | + | 0.105582i | |||||
0.0836093 | − | 0.474172i | 0.00660990 | − | 0.0374866i | |||||
−0.318453 | −0.0250976 | |||||||||
−8.18751 | − | 3.73694i | −0.643271 | − | 0.293602i | |||||
20.6396 | 1.61662 | 0.808308 | − | 0.588760i | ||||||
0.808308 | + | 0.588760i | ||||||||
−0.304760 | + | 1.72838i | −0.0237978 | + | 0.134964i | |||||
−1.20108 | − | 0.589269i | −0.0935043 | − | 0.0458745i | |||||
6.16663 | + | 2.24447i | 0.478623 | + | 0.174205i | |||||
−15.7874 | + | 13.2472i | −1.22166 | + | 1.02510i | −0.222928 | + | 0.974835i | ||
−0.998736 | + | 0.0502624i | ||||||||
0.0381415 | − | 0.0522414i | 0.00294268 | − | 0.00403051i | |||||
−0.939693 | + | 0.342020i | −0.0722840 | + | 0.0263092i | |||||
−1.36935 | + | 2.37178i | −0.105024 | + | 0.181908i | |||||
4.28820 | − | 0.582345i | 0.327927 | − | 0.0445330i | |||||
−6.10110 | − | 10.5674i | −0.465205 | − | 0.805758i | |||||
−4.79667 | − | 4.02488i | −0.364684 | − | 0.306006i | 0.441970 | − | 0.897030i | ||
−0.806654 | + | 0.591023i | ||||||||
4.99612 | + | 5.19776i | 0.378755 | + | 0.394041i | |||||
−0.0309211 | − | 0.175362i | −0.00233741 | − | 0.0132561i | |||||
−0.278569 | − | 1.57984i | −0.0209979 | − | 0.119085i | |||||
14.9681 | − | 3.69503i | 1.12507 | − | 0.277736i | |||||
−0.270092 | − | 0.226634i | −0.0202442 | − | 0.0169869i | |||||
−12.3294 | − | 21.3551i | −0.921540 | − | 1.59615i | −0.797033 | − | 0.603936i | ||
−0.124507 | − | 0.992219i | ||||||||
1.22140 | + | 0.771136i | 0.0910378 | + | 0.0574771i | |||||
−3.53195 | + | 6.11751i | −0.262528 | + | 0.454711i | −0.966913 | − | 0.255107i | ||
0.704385 | + | 0.709818i | ||||||||
0.0350928 | − | 0.0127727i | 0.00260125 | − | 0.000946778i | |||||
−16.9550 | − | 1.82191i | −1.25335 | − | 0.134679i | |||||
6.53231 | − | 5.48126i | 0.481568 | − | 0.404084i | |||||
−2.90570 | − | 1.05759i | −0.213631 | − | 0.0777553i | |||||
12.5465 | − | 8.42031i | 0.919950 | − | 0.617407i | |||||
−1.58450 | + | 8.98615i | −0.115870 | + | 0.657132i | |||||
−10.9016 | −0.795080 | |||||||||
0.101681 | + | 0.165277i | 0.00739617 | + | 0.0120221i | |||||
−0.694554 | −0.0503883 | |||||||||
2.20776 | − | 12.5208i | 0.159748 | − | 0.905976i | −0.794567 | − | 0.607176i | ||
0.954316 | − | 0.298801i | ||||||||
0.116804 | + | 1.72811i | 0.00842960 | + | 0.124715i | |||||
−15.1561 | − | 5.51635i | −1.09096 | − | 0.397076i | −0.266982 | − | 0.963702i | ||
−0.823975 | + | 0.566626i | ||||||||
−14.4735 | + | 12.1447i | −1.03913 | + | 0.871937i | |||||
0.337430 | + | 0.762647i | 0.0241638 | + | 0.0546143i | |||||
6.57654 | − | 2.39366i | 0.469753 | − | 0.170976i | |||||
5.42715 | − | 9.40010i | 0.386669 | − | 0.669730i | −0.605331 | − | 0.795974i | ||
0.991999 | + | 0.126245i | ||||||||
4.70277 | + | 1.02248i | 0.334211 | + | 0.0726648i | |||||
−7.03545 | − | 12.1858i | −0.498730 | − | 0.863826i | 0.501269 | − | 0.865291i | ||
−0.999999 | + | 0.00146596i | ||||||||
3.65263 | + | 3.06492i | 0.258280 | + | 0.216723i | |||||
0.0709659 | − | 0.245333i | 0.00500555 | − | 0.0173045i | |||||
−1.42841 | − | 8.10090i | −0.100502 | − | 0.569977i | |||||
−0.0269930 | − | 0.153085i | −0.00189454 | − | 0.0107445i | |||||
2.73757 | − | 9.46393i | 0.191668 | − | 0.662608i | |||||
0.647332 | + | 0.543176i | 0.0452116 | + | 0.0379370i | |||||
6.75532 | + | 11.7005i | 0.470665 | + | 0.815216i | |||||
7.79204 | + | 24.3664i | 0.541584 | + | 1.69358i | |||||
−0.500000 | + | 0.866025i | −0.0346688 | + | 0.0600481i | |||||
−2.17455 | + | 0.791472i | −0.150417 | + | 0.0547472i | |||||
−0.0126013 | − | 0.0284810i | −0.000869573 | − | 0.00196538i | |||||
−2.04007 | + | 1.71183i | −0.140444 | + | 0.117847i | −0.710303 | − | 0.703896i | ||
0.569859 | + | 0.821743i | ||||||||
1.63986 | + | 0.596860i | 0.112626 | + | 0.0409925i | |||||
−0.114218 | − | 1.68985i | −0.00782609 | − | 0.115787i | |||||
2.75375 | − | 15.6173i | 0.188242 | − | 1.06757i | |||||
−5.87520 | −0.400685 | |||||||||
−4.93051 | − | 1.64013i | −0.335479 | − | 0.111597i | |||||
−0.325791 | −0.0221161 | |||||||||
1.21539 | − | 6.89284i | 0.0823169 | − | 0.466842i | |||||
3.80527 | − | 2.55384i | 0.257137 | − | 0.172572i | |||||
−0.725826 | − | 0.264179i | −0.0489352 | − | 0.0178109i | |||||
4.35727 | − | 3.65618i | 0.293101 | − | 0.245941i | |||||
11.0598 | + | 1.18844i | 0.742285 | + | 0.0797628i | |||||
22.8775 | − | 8.32674i | 1.53199 | − | 0.557600i | 0.567885 | − | 0.823108i | ||
0.964109 | + | 0.265508i | ||||||||
0.0186725 | − | 0.0323417i | 0.00124761 | − | 0.00216092i | |||||
−12.6612 | + | 6.65675i | −0.844082 | + | 0.443784i | |||||
6.08793 | + | 10.5446i | 0.404963 | + | 0.701416i | |||||
20.1143 | + | 16.8779i | 1.33503 | + | 1.12022i | 0.982873 | + | 0.184285i | ||
0.352159 | + | 0.935940i | ||||||||
2.42570 | − | 0.598807i | 0.160646 | − | 0.0396570i | |||||
−1.47265 | − | 8.35183i | −0.0973157 | − | 0.551905i | −0.994013 | − | 0.109261i | ||
0.896697 | − | 0.442644i | ||||||||
−0.712964 | − | 4.04342i | −0.0470115 | − | 0.266615i | |||||
−0.0719081 | − | 0.0748104i | −0.00473121 | − | 0.00492216i | |||||
3.18862 | + | 2.67557i | 0.209343 | + | 0.175660i | |||||
11.8242 | + | 20.4800i | 0.774626 | + | 1.34169i | 0.935004 | + | 0.354637i | ||
−0.160378 | + | 0.987056i | ||||||||
−1.83597 | − | 2.37260i | −0.120021 | − | 0.155101i | |||||
−2.62449 | + | 4.54575i | −0.171203 | + | 0.296532i | |||||
8.36447 | − | 3.04442i | 0.544481 | − | 0.198175i | |||||
−14.1590 | + | 19.3931i | −0.919723 | + | 1.25972i | |||||
−0.162722 | + | 0.136540i | −0.0105477 | + | 0.00885057i | |||||
19.4005 | + | 7.06121i | 1.25492 | + | 0.456752i | 0.882060 | − | 0.471137i | ||
0.372856 | + | 0.927889i | ||||||||
0.748706 | + | 0.367326i | 0.0483288 | + | 0.0237108i | |||||
−1.76688 | + | 10.0205i | −0.113814 | + | 0.645474i | 0.873516 | + | 0.486796i | ||
−0.987330 | + | 0.158678i | ||||||||
8.42650 | 0.541676 | |||||||||
10.1582 | − | 11.8242i | 0.651650 | − | 0.758520i | |||||
−9.84530 | −0.630281 | |||||||||
0.585149 | − | 3.31854i | 0.0373838 | − | 0.212014i | |||||
−2.72907 | − | 1.33892i | −0.173999 | − | 0.0853665i | |||||
1.35552 | + | 0.493371i | 0.0862500 | + | 0.0313924i | |||||
6.68283 | − | 5.60756i | 0.424360 | − | 0.356081i | |||||
−6.70236 | + | 9.18004i | −0.424745 | + | 0.581762i | |||||
4.41961 | − | 1.60861i | 0.279520 | − | 0.101737i | |||||
4.42487 | − | 7.66411i | 0.279296 | − | 0.483754i | −0.691914 | − | 0.721980i | ||
0.971210 | + | 0.238226i | ||||||||
0.0685643 | + | 0.0886046i | 0.00431915 | + | 0.00558156i | |||||
−6.83982 | − | 11.8469i | −0.430016 | − | 0.744810i | |||||
−12.0219 | − | 10.0875i | −0.754318 | − | 0.632948i | |||||
−3.28722 | − | 3.41989i | −0.205854 | − | 0.214162i | |||||
0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | |||||
−0.413462 | − | 2.34486i | −0.0257910 | − | 0.146268i | 0.969193 | − | 0.246303i | ||
−0.994984 | + | 0.100035i | ||||||||
20.5189 | − | 5.06528i | 1.27745 | − | 0.315351i | |||||
−0.183724 | − | 0.154163i | −0.0114161 | − | 0.00957921i | |||||
0.240744 | + | 0.416980i | 0.0149303 | + | 0.0258600i | |||||
−11.0528 | + | 5.81112i | −0.684152 | + | 0.359699i | |||||
−4.15474 | + | 7.19622i | −0.256681 | + | 0.444584i | |||||
−8.65958 | + | 3.15183i | −0.533972 | + | 0.194350i | −0.594911 | − | 0.803791i | ||
0.0609388 | + | 0.998142i | ||||||||
2.76267 | + | 0.296865i | 0.170031 | + | 0.0182708i | |||||
0.643664 | − | 0.540099i | 0.0395400 | − | 0.0331780i | |||||
−0.0506221 | − | 0.0184249i | −0.00310384 | − | 0.00112970i | |||||
0.507074 | − | 0.340313i | 0.0310324 | − | 0.0208268i | |||||
0.0256044 | − | 0.145210i | 0.00156404 | − | 0.00887010i | |||||
−15.7633 | −0.961106 | −0.480553 | − | 0.876966i | ||||||
−0.480553 | + | 0.876966i | ||||||||
−1.87089 | + | 1.66107i | −0.113859 | + | 0.101090i | |||||
−15.9114 | −0.966550 | −0.483275 | − | 0.875469i | ||||||
−0.483275 | + | 0.875469i | ||||||||
0.987712 | − | 5.60159i | 0.0598888 | − | 0.339646i | |||||
0.00436204 | + | 0.0645362i | 0.000264003 | + | 0.00390591i | |||||
2.11971 | + | 0.771513i | 0.128057 | + | 0.0466088i | |||||
5.85960 | − | 4.91678i | 0.353347 | − | 0.296493i | |||||
5.97602 | + | 13.5068i | 0.359714 | + | 0.813013i | |||||
−17.9884 | + | 6.54724i | −1.08082 | + | 0.393385i | −0.820212 | − | 0.572060i | ||
−0.260606 | + | 0.965445i | ||||||||
3.64394 | − | 6.31150i | 0.218549 | − | 0.378538i | |||||
7.97159 | + | 24.9279i | 0.477247 | + | 1.49239i | |||||
−0.00899056 | − | 0.0155721i | −0.000537289 | − | 0.000930612i | |||||
−6.26440 | − | 5.25646i | −0.373703 | − | 0.313574i | 0.436522 | − | 0.899694i | ||
−0.810224 | + | 0.586120i | ||||||||
5.24680 | − | 18.1385i | 0.312443 | − | 1.08013i | |||||
1.31422 | + | 7.45334i | 0.0781226 | + | 0.443055i | 0.998630 | + | 0.0523297i | ||
−0.920507 | + | 0.390725i | ||||||||
−0.169804 | − | 0.963005i | −0.0100760 | − | 0.0571438i | |||||
0.334281 | − | 1.15563i | 0.0198011 | − | 0.0684534i | |||||
1.22890 | + | 1.03117i | 0.0726663 | + | 0.0609742i | |||||
0.0327711 | + | 0.0567612i | 0.00193442 | + | 0.00335051i | |||||
−2.93151 | − | 0.637374i | −0.172741 | − | 0.0375576i | |||||
−7.67671 | + | 13.2964i | −0.451571 | + | 0.782144i | |||||
1.88330 | − | 0.685465i | 0.110591 | − | 0.0402519i | |||||
−13.2409 | − | 29.9266i | −0.776195 | − | 1.75433i | |||||
2.02687 | − | 1.70074i | 0.118614 | − | 0.0995286i | |||||
5.62704 | + | 2.04808i | 0.328735 | + | 0.119650i | 0.501115 | − | 0.865381i | ||
−0.172380 | + | 0.985031i | ||||||||
0.817465 | + | 12.0943i | 0.0476755 | + | 0.705357i | |||||
0.744231 | − | 4.22074i | 0.0433308 | − | 0.245741i | |||||
6.42214 | 0.373279 | |||||||||
−3.96463 | + | 7.33254i | −0.230051 | + | 0.425477i | |||||
−13.2033 | −0.764844 | |||||||||
−1.48075 | + | 8.39778i | −0.0856343 | + | 0.485656i | |||||
−6.85750 | + | 4.60228i | −0.395918 | + | 0.265713i | |||||
−0.428209 | − | 0.155855i | −0.0246816 | − | 0.00898336i | |||||
−10.3685 | + | 8.70020i | −0.596640 | + | 0.500640i | |||||
14.1661 | + | 1.52222i | 0.813820 | + | 0.0874495i | |||||
1.35552 | − | 0.493371i | 0.0777447 | − | 0.0282968i | |||||
−2.37019 | + | 4.10529i | −0.135717 | + | 0.235068i | |||||
14.4289 | + | 9.10975i | 0.824845 | + | 0.520770i | |||||
−4.56552 | − | 7.90771i | −0.260568 | − | 0.451317i | 0.705825 | − | 0.708386i | ||
−0.966393 | + | 0.257069i | ||||||||
−0.0458932 | − | 0.0385090i | −0.00261501 | − | 0.00219425i | |||||
−22.7191 | + | 5.60843i | −1.29244 | + | 0.319052i | |||||
−0.729393 | − | 4.13659i | −0.0414267 | − | 0.234943i | |||||
−0.00301328 | − | 0.0170892i | −0.000170867 | − | 0.000969037i | 0.984722 | − | 0.174133i | ||
−0.984893 | + | 0.173164i | ||||||||
−1.20028 | − | 1.24873i | −0.0679527 | − | 0.0706953i | |||||
−2.13352 | − | 1.79024i | −0.120594 | − | 0.101190i | 0.580496 | − | 0.814263i | ||
−0.701090 | + | 0.713073i | ||||||||
0.679391 | + | 1.17674i | 0.0383403 | + | 0.0664073i | |||||
0.0534527 | − | 0.00725898i | 0.00301172 | − | 0.000408997i | |||||
−6.93163 | + | 12.0059i | −0.389935 | + | 0.675387i | |||||
16.9768 | − | 6.17905i | 0.953513 | − | 0.347050i | 0.182025 | − | 0.983294i | ||
0.771488 | + | 0.636244i | ||||||||
−1.78232 | + | 2.44120i | −0.0999478 | + | 0.136896i | |||||
5.11522 | − | 4.29218i | 0.286398 | − | 0.240316i | |||||
0.452450 | + | 0.164678i | 0.0252927 | + | 0.00920579i | |||||
24.6593 | + | 12.0982i | 1.37635 | + | 0.675256i | |||||
0.0552988 | − | 0.313615i | 0.00308168 | − | 0.0174771i | |||||
−8.20506 | −0.456542 | |||||||||
5.10191 | − | 7.41421i | 0.283440 | − | 0.411900i | |||||
−4.76817 | −0.264490 | |||||||||
−3.58402 | + | 20.3260i | −0.198501 | + | 1.12575i | |||||
10.8836 | + | 5.33966i | 0.601866 | + | 0.295284i | |||||
−1.64920 | − | 0.600261i | −0.0910620 | − | 0.0331439i | |||||
−0.311872 | + | 0.261692i | −0.0171941 | + | 0.0144275i | |||||
0.788882 | − | 1.08051i | 0.0434265 | − | 0.0594802i | |||||
−24.9383 | + | 9.07682i | −1.37074 | + | 0.498907i | −0.919356 | − | 0.393426i | ||
−0.451379 | + | 0.892332i | ||||||||
−3.28119 | + | 5.68319i | −0.180079 | + | 0.311906i | |||||
−7.30032 | + | 17.8298i | −0.400055 | + | 0.977065i | |||||
−10.3045 | − | 17.8479i | −0.563836 | − | 0.976592i | |||||
−0.0543855 | − | 0.0456349i | −0.00297140 | − | 0.00249330i | |||||
0.0448246 | + | 0.0466337i | 0.00244538 | + | 0.00254408i | |||||
0.761421 | + | 4.31823i | 0.0414772 | + | 0.235229i | 0.998498 | − | 0.0547908i | ||
−0.957021 | + | 0.290020i | ||||||||
−0.173648 | − | 0.984808i | −0.00944522 | − | 0.0535665i | |||||
−20.4746 | + | 5.05434i | −1.11203 | + | 0.274514i | |||||
−2.09797 | − | 1.76040i | −0.113778 | − | 0.0954713i | |||||
−6.99743 | − | 12.1199i | −0.378932 | − | 0.656330i | |||||
−0.171140 | + | 4.32417i | −0.00925419 | + | 0.233824i | |||||
0.261389 | − | 0.452739i | 0.0141137 | − | 0.0244456i | |||||
11.4663 | − | 4.17340i | 0.618222 | − | 0.225015i | |||||
7.07075 | + | 0.759791i | 0.380676 | + | 0.0409058i | |||||
4.79667 | − | 4.02488i | 0.257871 | − | 0.216379i | |||||
−2.56597 | − | 0.933936i | −0.137748 | − | 0.0501363i | 0.272226 | − | 0.962233i | ||
−0.409974 | + | 0.912097i | ||||||||
−5.98636 | + | 4.01763i | −0.320903 | + | 0.215368i | |||||
−5.69363 | + | 32.2902i | −0.304773 | + | 1.72845i | 0.319798 | + | 0.947486i | ||
−0.624571 | + | 0.780968i | ||||||||
0.178067 | 0.00951810 | |||||||||
4.83125 | − | 1.91286i | 0.257873 | − | 0.102101i | |||||
1.60421 | 0.0855048 | |||||||||
0.909765 | − | 5.15953i | 0.0484219 | − | 0.274614i | −0.950978 | − | 0.309259i | ||
0.999400 | + | 0.0346450i | ||||||||
1.03971 | + | 15.3824i | 0.0552597 | + | 0.817564i | |||||
−0.442433 | − | 0.161032i | −0.0234819 | − | 0.00854672i | |||||
0.270092 | − | 0.226634i | 0.0143148 | − | 0.0120116i | |||||
−0.148864 | − | 0.336458i | −0.00787874 | − | 0.0178073i | |||||
23.1716 | − | 8.43378i | 1.22466 | − | 0.445739i | |||||
−17.2269 | + | 29.8378i | −0.909199 | + | 1.57478i | −0.0940201 | + | 0.995570i | ||
−0.815179 | + | 0.579209i | ||||||||
−0.971514 | + | 1.06894i | −0.0512033 | + | 0.0563380i | |||||
8.45957 | + | 14.6524i | 0.445240 | + | 0.771179i | |||||
−5.41126 | − | 4.54058i | −0.284409 | − | 0.238648i | |||||
−4.05557 | + | 14.0203i | −0.212862 | + | 0.735877i | |||||
0.00648489 | + | 0.0367776i | 0.000339901 | + | 0.00192767i | |||||
−0.221221 | − | 1.25461i | −0.0115792 | − | 0.0656691i | |||||
4.73842 | − | 16.3810i | 0.247681 | − | 0.856249i | |||||
−2.24284 | − | 1.88196i | −0.117075 | − | 0.0982377i | 0.582371 | − | 0.812923i | ||
−0.699446 | + | 0.714686i | ||||||||
4.26366 | + | 7.38488i | 0.222259 | + | 0.384964i | |||||
3.54122 | − | 3.89633i | 0.184349 | − | 0.202835i | |||||
1.54609 | − | 2.67790i | 0.0803773 | − | 0.139218i | |||||
0.0612405 | − | 0.0222897i | 0.00317945 | − | 0.00115723i | |||||
6.11372 | + | 13.8180i | 0.316982 | + | 0.716431i | |||||
−4.10872 | + | 3.44762i | −0.212741 | + | 0.178511i | −0.742931 | − | 0.669368i | ||
0.530190 | + | 0.847879i | ||||||||
−8.57448 | − | 3.12086i | −0.443376 | − | 0.161376i | |||||
0.549358 | + | 8.12772i | 0.0283687 | + | 0.419714i | |||||
1.89304 | − | 10.7360i | 0.0976262 | − | 0.553666i | |||||
−4.16245 | −0.214377 | |||||||||
−0.180423 | + | 0.0714357i | −0.00927995 | + | 0.00367426i | |||||
−0.557961 | −0.0286606 | −0.0143303 | − | 0.999897i | ||||||
−0.0143303 | + | 0.999897i | ||||||||
0.120608 | − | 0.684003i | 0.00618706 | − | 0.0350886i | |||||
22.5700 | − | 15.1474i | 1.15630 | − | 0.776026i | |||||
11.9472 | + | 4.34844i | 0.611274 | + | 0.222486i | |||||
8.41516 | − | 7.06116i | 0.429995 | − | 0.360808i | −0.401955 | − | 0.915659i | ||
0.831950 | + | 0.554851i | ||||||||
−1.72214 | − | 0.185053i | −0.0878824 | − | 0.00944346i | |||||
−0.0271059 | + | 0.00986576i | −0.00138145 | + | 0.000502806i | |||||
8.06437 | − | 13.9679i | 0.410466 | − | 0.710947i | |||||
−1.44766 | + | 36.5780i | −0.0735889 | + | 1.85936i | |||||
−9.44688 | − | 16.3625i | −0.479593 | − | 0.830679i | |||||
−3.22891 | − | 2.70937i | −0.163712 | − | 0.137371i | 0.557251 | − | 0.830344i | ||
−0.720963 | + | 0.692973i | ||||||||
−0.809655 | + | 0.199871i | −0.0409985 | + | 0.0101209i | |||||
−8.42254 | − | 47.7666i | −0.425946 | − | 2.41566i | |||||
1.21530 | + | 6.89228i | 0.0613817 | + | 0.348113i | |||||
−9.97373 | − | 10.3763i | −0.503108 | − | 0.523414i | |||||
8.31488 | + | 6.97701i | 0.418898 | + | 0.351497i | |||||
3.33749 | + | 5.78070i | 0.167927 | + | 0.290859i | |||||
−1.82358 | + | 4.45377i | −0.0916382 | + | 0.223810i | |||||
−8.76730 | + | 15.1854i | −0.440018 | + | 0.762134i | −0.997690 | − | 0.0679273i | ||
0.557672 | + | 0.830061i | ||||||||
13.2223 | − | 4.81253i | 0.662775 | − | 0.241230i | |||||
0.0550199 | − | 0.0753593i | 0.00275444 | − | 0.00377268i | |||||
−3.65263 | + | 3.06492i | −0.182632 | + | 0.153246i | |||||
31.5815 | + | 11.4947i | 1.57710 | + | 0.574019i | 0.974572 | − | 0.224075i | ||
0.602532 | + | 0.798094i | ||||||||
0.229283 | + | 0.112489i | 0.0114356 | + | 0.00561046i | |||||
−1.51488 | + | 8.59128i | −0.0754613 | + | 0.427962i | |||||
8.22587 | 0.409252 | |||||||||
−1.86332 | − | 3.91232i | −0.0925893 | − | 0.194405i | |||||
0.155447 | 0.00771468 | |||||||||
1.78901 | − | 10.1460i | 0.0886778 | − | 0.502917i | |||||
8.84478 | + | 4.33937i | 0.437882 | + | 0.214831i | |||||
10.7728 | + | 3.92096i | 0.532679 | + | 0.193879i | 0.594334 | − | 0.804218i | ||
−0.0616553 | + | 0.998098i | ||||||||
−0.647332 | + | 0.543176i | −0.0319694 | + | 0.0268255i | |||||
−2.30387 | + | 3.15554i | −0.113641 | + | 0.155652i | |||||
−12.6958 | + | 4.62091i | −0.625479 | + | 0.227656i | |||||
0.166209 | − | 0.287883i | 0.00817862 | − | 0.0141658i | |||||
−25.3493 | + | 3.44248i | −1.24585 | + | 0.169189i | |||||
1.57985 | + | 2.73638i | 0.0775519 | + | 0.134324i | |||||
−0.766044 | − | 0.642788i | −0.0375584 | − | 0.0315153i | |||||
8.74753 | + | 9.10059i | 0.428369 | + | 0.445658i | |||||
−0.401841 | − | 2.27895i | −0.0196547 | − | 0.111467i | |||||
1.01044 | + | 5.73047i | 0.0493631 | + | 0.279952i | 0.999491 | − | 0.0319092i | ||
−0.950128 | + | 0.311861i | ||||||||
0.0302365 | − | 0.00746419i | 0.00147539 | − | 0.000364215i | |||||
−17.8740 | − | 14.9980i | −0.871123 | − | 0.730959i | 0.0932112 | − | 0.995646i | ||
−0.964334 | + | 0.264687i | ||||||||
−1.33156 | − | 2.30634i | −0.0648195 | − | 0.112271i | |||||
27.6543 | + | 17.4597i | 1.34460 | + | 0.848919i | |||||
−0.872551 | + | 1.51130i | −0.0423748 | + | 0.0733954i | |||||
25.4858 | − | 9.27606i | 1.23624 | − | 0.449955i | |||||
1.68401 | + | 0.180956i | 0.0815906 | + | 0.00876737i | |||||
−0.281654 | + | 0.236335i | −0.0136302 | + | 0.0114371i | |||||
14.9018 | + | 5.42382i | 0.720307 | + | 0.262170i | |||||
−2.30715 | + | 1.54840i | −0.111390 | + | 0.0747575i | |||||
1.02022 | − | 5.78594i | 0.0491993 | − | 0.279023i | |||||
11.9642 | 0.576295 | 0.288148 | − | 0.957586i | ||||||
0.288148 | + | 0.957586i | ||||||||
2.47139 | − | 4.57080i | 0.118905 | − | 0.219913i | |||||
17.8832 | 0.859414 | 0.429707 | − | 0.902968i | ||||||
0.429707 | + | 0.902968i | ||||||||
0.0565730 | − | 0.320841i | 0.00271559 | − | 0.0154009i | |||||
0.234094 | + | 3.46341i | 0.0112240 | + | 0.166058i | |||||
6.57707 | + | 2.39386i | 0.314985 | + | 0.114645i | |||||
9.42299 | − | 7.90682i | 0.450763 | − | 0.378235i | |||||
1.85426 | + | 4.19093i | 0.0885999 | + | 0.200250i | |||||
−7.21436 | + | 2.62581i | −0.344323 | + | 0.125323i | −0.508392 | − | 0.861126i | ||
0.164070 | + | 0.986449i | ||||||||
0.386204 | − | 0.668925i | 0.0184115 | − | 0.0318897i | |||||
−20.5165 | − | 4.46073i | −0.976975 | − | 0.212416i | |||||
2.84400 | + | 4.92596i | 0.135275 | + | 0.234304i | |||||
23.4632 | + | 19.6880i | 1.11477 | + | 0.935405i | 0.998329 | − | 0.0577926i | ||
0.116443 | + | 0.993197i | ||||||||
−3.09090 | + | 10.6854i | −0.146688 | + | 0.507107i | |||||
−0.0294789 | − | 0.167183i | −0.00139744 | − | 0.00792525i | |||||
4.22760 | + | 23.9759i | 0.200183 | + | 1.13529i | |||||
6.35457 | − | 21.9681i | 0.300561 | − | 1.03906i | |||||
0.0286079 | + | 0.0240049i | 0.00135160 | + | 0.00113412i | |||||
−19.3567 | − | 33.5268i | −0.913500 | − | 1.58223i | −0.809083 | − | 0.587695i | ||
−0.104418 | − | 0.994534i | ||||||||
−4.35703 | − | 13.6248i | −0.205392 | − | 0.642280i | |||||
−1.40773 | + | 2.43826i | −0.0662875 | + | 0.114813i | |||||
−11.4416 | + | 4.16439i | −0.538166 | + | 0.195876i | |||||
−9.48550 | − | 21.4388i | −0.445668 | − | 1.00728i | |||||
−20.1143 | + | 16.8779i | −0.944010 | + | 0.792119i | |||||
0.0168967 | + | 0.00614991i | 0.000792131 | + | 0.000288312i | |||||
0.168492 | + | 2.49283i | 0.00789036 | + | 0.116737i | |||||
0.713370 | − | 4.04572i | 0.0333700 | − | 0.189251i | −0.963566 | − | 0.267470i | ||
0.996936 | + | 0.0782193i | ||||||||
8.48067 | 0.396276 | |||||||||
−22.1016 | + | 19.6230i | −1.03162 | + | 0.915922i | |||||
4.10580 | 0.191434 | |||||||||
1.73568 | − | 9.84353i | 0.0808386 | − | 0.458459i | −0.917339 | − | 0.398108i | ||
0.998177 | − | 0.0603508i | ||||||||
0.0861606 | − | 0.0578250i | 0.00400855 | − | 0.00269026i | |||||
−6.00349 | − | 2.18509i | −0.279006 | − | 0.101550i | 0.198727 | − | 0.980055i | ||
−0.477733 | + | 0.878505i | ||||||||
−3.18862 | + | 2.67557i | −0.148028 | + | 0.124210i | |||||
7.23367 | + | 0.777299i | 0.335454 | + | 0.0360464i | |||||
−22.2222 | + | 8.08820i | −1.02942 | + | 0.374679i | |||||
2.59290 | − | 4.49103i | 0.119985 | − | 0.207820i | −0.799777 | − | 0.600298i | ||
0.919761 | + | 0.392478i | ||||||||
2.65536 | − | 1.39608i | 0.122744 | − | 0.0645339i | |||||
−0.00275326 | − | 0.00476878i | −0.000127134 | − | 0.000220202i | |||||
−4.02095 | − | 3.37398i | −0.185473 | − | 0.155630i | |||||
−2.28489 | + | 0.564047i | −0.105282 | + | 0.0259899i | |||||
1.54569 | + | 8.76606i | 0.0711463 | + | 0.403490i | |||||
−3.39915 | − | 19.2775i | −0.156293 | − | 0.886382i | |||||
−16.6398 | − | 17.3114i | −0.764293 | − | 0.795141i | |||||
5.26899 | + | 4.42121i | 0.241758 | + | 0.202859i | |||||
−0.106209 | − | 0.183960i | −0.00486809 | − | 0.00843178i | |||||
−3.20396 | − | 4.14042i | −0.146699 | − | 0.189577i | |||||
−10.3228 | + | 17.8796i | −0.472154 | + | 0.817795i | |||||
14.7248 | − | 5.35939i | 0.672794 | − | 0.244877i | 0.0170436 | − | 0.999855i | ||
0.655750 | + | 0.754978i | ||||||||
−0.491757 | + | 0.673546i | −0.0224455 | + | 0.0307430i | |||||
−4.91964 | + | 4.12807i | −0.224316 | + | 0.188224i | |||||
−9.56140 | − | 3.48007i | −0.435510 | − | 0.158513i | |||||
0.495190 | + | 0.242947i | 0.0225319 | + | 0.0110545i | |||||
−1.46325 | + | 8.29848i | −0.0665112 | + | 0.377204i | |||||
−9.09710 | −0.413078 | |||||||||
9.88057 | + | 12.0571i | 0.448192 | + | 0.546923i | |||||
36.3603 | 1.64764 | 0.823822 | − | 0.566848i | ||||||
0.823822 | + | 0.566848i | ||||||||
1.70962 | − | 9.69573i | 0.0773908 | − | 0.438905i | |||||
−32.0943 | − | 15.7459i | −1.45135 | − | 0.712054i | |||||
3.16652 | + | 1.15252i | 0.143049 | + | 0.0520655i | |||||
−1.59611 | + | 1.33929i | −0.0720313 | + | 0.0604414i | −0.678092 | − | 0.734977i | ||
0.606061 | + | 0.795418i | ||||||||
1.79248 | − | 2.45511i | 0.0808112 | − | 0.110685i | |||||
22.2482 | − | 8.09768i | 1.00201 | − | 0.364701i | |||||
−0.721260 | + | 1.24926i | −0.0324510 | + | 0.0562068i | |||||
1.41812 | + | 1.83261i | 0.0637397 | + | 0.0823697i | |||||
4.36191 | + | 7.55505i | 0.195856 | + | 0.339232i | |||||
−0.0279746 | − | 0.0234735i | −0.00125483 | − | 0.00105293i | |||||
−7.87672 | − | 8.19463i | −0.352964 | − | 0.367210i | |||||
−2.86197 | − | 16.2310i | −0.128119 | − | 0.726600i | −0.979406 | − | 0.201900i | ||
0.851287 | − | 0.524701i | ||||||||
0.816710 | + | 4.63179i | 0.0365244 | + | 0.207140i | |||||
34.6554 | − | 8.55503i | 1.54829 | − | 0.382210i | |||||
6.77930 | + | 5.68851i | 0.302575 | + | 0.253891i | |||||
5.06194 | + | 8.76754i | 0.225701 | + | 0.390925i | 0.956529 | − | 0.291636i | ||
−0.730829 | + | 0.682561i | ||||||||
−0.0991645 | + | 0.0521367i | −0.00441714 | + | 0.00232235i | |||||
1.98032 | − | 3.43002i | 0.0881233 | − | 0.152634i | |||||
12.8547 | − | 4.67871i | 0.571459 | − | 0.207994i | |||||
1.72214 | + | 0.185053i | 0.0764828 | + | 0.00821851i | |||||
12.0219 | − | 10.0875i | 0.533384 | − | 0.447562i | |||||
26.9474 | + | 9.80805i | 1.19442 | + | 0.434734i | 0.861274 | − | 0.508141i | ||
0.333148 | + | 0.942875i | ||||||||
3.93875 | − | 2.64342i | 0.174411 | − | 0.117053i | |||||
0.0171583 | − | 0.0973095i | 0.000759038 | − | 0.00430472i | |||||
−1.00000 | −0.0441942 | |||||||||
−7.11236 | − | 2.36592i | −0.314018 | − | 0.104458i | |||||
2.38103 | 0.105023 | |||||||||
−1.12961 | + | 6.40636i | −0.0497768 | + | 0.282298i | |||||
1.42527 | + | 21.0867i | 0.0627438 | + | 0.928291i | |||||
−16.4338 | − | 5.98141i | −0.722757 | − | 0.263062i | |||||
0.183724 | − | 0.154163i | 0.00807237 | − | 0.00677352i | |||||
4.38818 | + | 9.91802i | 0.192620 | + | 0.435353i | |||||
−0.452450 | + | 0.164678i | −0.0198412 | + | 0.00722162i | |||||
2.37684 | − | 4.11680i | 0.104131 | − | 0.180360i | −0.809252 | − | 0.587462i | ||
0.913383 | + | 0.407102i | ||||||||
−3.80353 | − | 11.8940i | −0.166476 | − | 0.520586i | |||||
−17.0764 | − | 29.5773i | −0.746701 | − | 1.29332i | −0.949396 | − | 0.314082i | ||
0.202695 | − | 0.979242i | ||||||||
−6.36543 | − | 5.34123i | −0.278075 | − | 0.233333i | |||||
−0.0857016 | + | 0.296275i | −0.00374032 | + | 0.0129305i | |||||
−1.60023 | − | 9.07533i | −0.0697731 | − | 0.395703i | |||||
−8.61662 | − | 48.8673i | −0.375346 | − | 2.12869i | |||||
−0.772088 | + | 2.66915i | −0.0336008 | + | 0.116160i | |||||
38.0841 | + | 31.9564i | 1.65583 | + | 1.38941i | |||||
0.420122 | + | 0.727673i | 0.0182489 | + | 0.0316081i | |||||
−26.0942 | − | 5.67345i | −1.13239 | − | 0.246207i | |||||
0.0269354 | − | 0.0466535i | 0.00116780 | − | 0.00202269i | |||||
1.64920 | − | 0.600261i | 0.0714349 | − | 0.0260002i | |||||
0.247090 | + | 0.558465i | 0.0106926 | + | 0.0241671i | |||||
5.84914 | − | 4.90801i | 0.252881 | − | 0.212192i | |||||
0.138558 | + | 0.0504309i | 0.00598478 | + | 0.00217828i | |||||
2.88024 | + | 42.6130i | 0.124291 | + | 1.83888i | |||||
2.73727 | − | 15.5238i | 0.118012 | − | 0.669280i | |||||
11.2273 | 0.483592 | |||||||||
−1.31096 | − | 2.13091i | −0.0564148 | − | 0.0916998i | |||||
−1.44184 | −0.0619896 | −0.0309948 | − | 0.999520i | ||||||
−0.0309948 | + | 0.999520i | ||||||||
2.76299 | − | 15.6697i | 0.118681 | − | 0.673071i | |||||
10.1592 | − | 6.81813i | 0.435972 | − | 0.292594i | |||||
5.34498 | + | 1.94541i | 0.229164 | + | 0.0834089i | |||||
2.58158 | − | 2.16620i | 0.110583 | − | 0.0927899i | |||||
−0.0643132 | − | 0.00691081i | −0.00275235 | − | 0.000295756i | |||||
8.95865 | − | 3.26068i | 0.383044 | − | 0.139417i | −0.143319 | − | 0.989677i | ||
0.526363 | + | 0.850260i | ||||||||
−1.12788 | + | 1.95354i | −0.0481805 | + | 0.0834510i | |||||
24.9748 | + | 15.7680i | 1.06590 | + | 0.672960i | |||||
3.82458 | + | 6.62437i | 0.163081 | + | 0.282464i | |||||
4.59965 | + | 3.85956i | 0.195952 | + | 0.164423i | |||||
−14.3393 | + | 3.53980i | −0.610322 | + | 0.150664i | |||||
0.0899017 | + | 0.509858i | 0.00382301 | + | 0.0216814i | |||||
−3.32412 | − | 18.8520i | −0.141228 | − | 0.800945i | |||||
3.71149 | + | 3.86129i | 0.157544 | + | 0.163902i | |||||
5.58285 | + | 4.68456i | 0.236765 | + | 0.198670i | |||||
−16.4525 | − | 28.4965i | −0.697113 | − | 1.20744i | −0.969463 | − | 0.245237i | ||
0.272350 | − | 0.962198i | ||||||||
−25.9334 | + | 3.52180i | −1.09785 | + | 0.149090i | |||||
−6.10110 | + | 10.5674i | −0.258049 | + | 0.446954i | |||||
0.0168967 | − | 0.00614991i | 0.000714017 | − | 0.000259881i | |||||
9.31940 | − | 12.7645i | 0.393465 | − | 0.538919i | |||||
6.26440 | − | 5.25646i | 0.264248 | − | 0.221730i | |||||
−29.2277 | − | 10.6380i | −1.23180 | − | 0.448339i | −0.357587 | − | 0.933880i | ||
−0.874214 | + | 0.485541i | ||||||||
16.9518 | + | 8.31681i | 0.713801 | + | 0.350201i | |||||
−1.01801 | + | 5.77345i | −0.0428282 | + | 0.242891i | |||||
−7.56832 | −0.318120 | |||||||||
−0.0320222 | − | 0.334576i | −0.00134481 | − | 0.0140509i | |||||
0.977861 | 0.0410301 | |||||||||
0.753201 | − | 4.27161i | 0.0315758 | − | 0.179075i | −0.964941 | − | 0.262467i | ||
0.996517 | + | 0.0833913i | ||||||||
1.08002 | + | 0.529875i | 0.0452372 | + | 0.0221940i | |||||
−41.3582 | − | 15.0532i | −1.73079 | − | 0.629955i | −0.732100 | − | 0.681197i | ||
−0.998686 | + | 0.0512421i | ||||||||
−1.22890 | + | 1.03117i | −0.0513828 | + | 0.0431153i | |||||
−12.9852 | + | 17.7855i | −0.542464 | + | 0.742998i | |||||
−0.0615895 | + | 0.0224167i | −0.00257069 | + | 0.000935656i | |||||
−20.3299 | + | 35.2124i | −0.847814 | + | 1.46846i | |||||
1.13674 | − | 2.77630i | 0.0473643 | − | 0.115679i | |||||
−10.6628 | − | 18.4685i | −0.443899 | − | 0.768856i | 0.554076 | − | 0.832466i | ||
−0.997975 | + | 0.0636106i | ||||||||
−11.7614 | − | 9.86898i | −0.489210 | − | 0.410496i | |||||
19.3591 | + | 20.1404i | 0.804535 | + | 0.837006i | |||||
0.348020 | + | 1.97372i | 0.0144507 | + | 0.0819541i | |||||
0.0425564 | + | 0.241349i | 0.00176554 | + | 0.0100128i | |||||
31.7712 | − | 7.84303i | 1.31696 | − | 0.325104i | |||||
2.14455 | + | 1.79949i | 0.0888183 | + | 0.0745274i | |||||
1.32294 | + | 2.29141i | 0.0547438 | + | 0.0948191i | |||||
0.0571235 | − | 1.44333i | 0.00236176 | − | 0.0596744i | |||||
−2.99409 | + | 5.18591i | −0.123685 | + | 0.214228i | |||||
−7.17383 | + | 2.61106i | −0.296096 | + | 0.107770i | −0.485797 | − | 0.874072i | ||
0.189701 | + | 0.981842i | ||||||||
−12.0526 | − | 1.29512i | −0.497039 | − | 0.0534096i | |||||
9.64012 | − | 8.08902i | 0.397214 | − | 0.333302i | |||||
4.02739 | + | 1.46585i | 0.165805 | + | 0.0603480i | |||||
−15.6105 | + | 10.4767i | −0.642129 | + | 0.430953i | |||||
−1.11519 | + | 6.32457i | −0.0458341 | + | 0.259938i | |||||
36.1782 | 1.48566 | 0.742831 | − | 0.669479i | ||||||
0.742831 | + | 0.669479i | ||||||||
−6.53269 | − | 5.17768i | −0.268040 | − | 0.212443i | |||||
−0.102277 | −0.00419294 | |||||||||
2.29272 | − | 13.0027i | 0.0939135 | − | 0.532610i | |||||
1.64354 | + | 24.3160i | 0.0672655 | + | 0.995189i | |||||
−8.01307 | − | 2.91652i | −0.327679 | − | 0.119265i | |||||
−5.84972 | + | 4.90850i | −0.239013 | + | 0.200556i | −0.754424 | − | 0.656387i | ||
0.515411 | + | 0.856943i | ||||||||
−3.34157 | − | 7.55250i | −0.136419 | − | 0.308330i | |||||
−0.447861 | + | 0.163008i | −0.0182686 | + | 0.00664924i | −0.351138 | − | 0.936324i | ||
0.332870 | + | 0.942973i | ||||||||
0.227845 | − | 0.394640i | 0.00928629 | − | 0.0160843i | |||||
−0.297515 | + | 0.327350i | −0.0121158 | + | 0.0133307i | |||||
−6.76755 | − | 11.7217i | −0.275368 | − | 0.476951i | |||||
3.10803 | + | 2.60795i | 0.126360 | + | 0.106028i | |||||
−3.95901 | + | 13.6865i | −0.160824 | + | 0.555977i | |||||
1.26004 | + | 7.14603i | 0.0511433 | + | 0.290048i | 0.999643 | − | 0.0267309i | ||
−0.948499 | + | 0.316779i | ||||||||
0.250491 | + | 1.42060i | 0.0101587 | + | 0.0576131i | |||||
−0.0748145 | + | 0.258638i | −0.00303164 | + | 0.0104805i | |||||
−3.63135 | − | 3.04706i | −0.147029 | − | 0.123372i | |||||
5.45080 | + | 9.44106i | 0.220516 | + | 0.381944i | |||||
−11.4769 | + | 12.6278i | −0.463926 | + | 0.510449i | |||||
14.4105 | − | 24.9598i | 0.582036 | − | 1.00812i | −0.413201 | − | 0.910640i | ||
0.995238 | − | 0.0974770i | ||||||||
8.58037 | − | 3.12300i | 0.346275 | − | 0.126034i | |||||
−0.592204 | − | 1.33848i | −0.0238800 | − | 0.0539727i | |||||
0.0458932 | − | 0.0385090i | 0.00184909 | − | 0.00155157i | |||||
16.0605 | + | 5.84555i | 0.646572 | + | 0.235333i | 0.644428 | − | 0.764665i | ||
0.00214359 | + | 0.999998i | ||||||||
−1.57810 | − | 23.3478i | −0.0634803 | − | 0.939187i | |||||
2.93858 | − | 16.6655i | 0.118111 | − | 0.669843i | −0.867051 | − | 0.498219i | ||
0.985163 | − | 0.171624i | ||||||||
4.20041 | 0.168692 | |||||||||
6.47258 | − | 43.8340i | 0.259736 | − | 1.75900i | |||||
0.0173528 | 0.000695783 | |||||||||
0.00228644 | − | 0.0129670i | 9.16042e−5 | − | 0.000519514i | |||||
1.43818 | − | 0.965209i | 0.0575734 | − | 0.0386393i | |||||
−20.2751 | − | 7.37953i | −0.811004 | − | 0.295181i | |||||
2.13352 | − | 1.79024i | 0.0852727 | − | 0.0715523i | |||||
3.98521 | + | 0.428233i | 0.159154 | + | 0.0171020i | |||||
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18.2646 | − | 31.6352i | 0.728257 | − | 1.26138i | |||||
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−0.983591 | + | 0.180413i | ||||||||
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4.47824 | − | 1.10550i | 0.177994 | − | 0.0439396i | |||||
3.13719 | + | 17.7919i | 0.124594 | + | 0.706606i | |||||
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3.33873 | + | 5.78284i | 0.132181 | + | 0.228945i | |||||
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−0.0941775 | + | 0.995555i | ||||||||
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27.8181 | − | 23.3421i | 1.09704 | − | 0.920523i | 0.0998147 | − | 0.995006i | ||
0.997222 | + | 0.0744827i | ||||||||
0.299248 | + | 0.108917i | 0.0117920 | + | 0.00429194i | |||||
9.13586 | + | 4.48218i | 0.359724 | + | 0.176486i | |||||
1.42479 | − | 8.08041i | 0.0560578 | − | 0.317919i | |||||
2.30387 | 0.0905745 | 0.0452873 | − | 0.998974i | ||||||
0.0452873 | + | 0.998974i | ||||||||
6.41563 | + | 6.31187i | 0.252030 | + | 0.247954i | |||||
14.2796 | 0.560522 | |||||||||
0.827984 | − | 4.69573i | 0.0324762 | − | 0.184182i | |||||
0.506601 | + | 0.248545i | 0.0198552 | + | 0.00974126i | |||||
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0.315001 | + | 0.949091i | ||||||||
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0.877523 | − | 1.51991i | 0.0342615 | − | 0.0593427i | |||||
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−0.819372 | + | 0.573263i | ||||||||
0.927108 | + | 0.964526i | 0.0360876 | + | 0.0375441i | |||||
2.89101 | + | 16.3957i | 0.112447 | + | 0.637719i | 0.987983 | + | 0.154565i | ||
−0.875536 | + | 0.483154i | ||||||||
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19.3661 | − | 7.04868i | 0.749296 | − | 0.272721i | |||||
−41.9267 | − | 4.50527i | −1.62098 | − | 0.174184i | |||||
0.0543855 | − | 0.0456349i | 0.00210110 | − | 0.00176303i | |||||
−14.8415 | − | 5.40185i | −0.572948 | − | 0.208536i | |||||
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−0.808915 | + | 0.587926i | ||||||||
−4.38485 | −0.168898 | |||||||||
24.7665 | − | 0.691936i | 0.953262 | − | 0.0266326i | |||||
1.00000 | 0.0384615 | |||||||||
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−0.999979 | + | 0.00641857i | ||||||||
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−0.663035 | − | 0.241325i | −0.0254450 | − | 0.00926121i | |||||
2.09797 | − | 1.76040i | 0.0804534 | − | 0.0675084i | |||||
−18.4013 | − | 41.5901i | −0.705141 | − | 1.59373i | |||||
13.1509 | − | 4.78652i | 0.503573 | − | 0.183285i | |||||
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0.658953 | + | 0.752184i | ||||||||
−4.22876 | − | 0.919425i | −0.161691 | − | 0.0351551i | |||||
0.543058 | + | 0.940604i | 0.0207492 | + | 0.0359386i | |||||
0.400471 | + | 0.336035i | 0.0152901 | + | 0.0128299i | |||||
−4.08165 | + | 14.1105i | −0.155724 | + | 0.538348i | |||||
2.11889 | + | 12.0168i | 0.0807819 | + | 0.458137i | |||||
−0.303034 | − | 1.71859i | −0.0115447 | − | 0.0654731i | |||||
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−21.2519 | − | 17.8324i | −0.808460 | − | 0.678378i | 0.141780 | − | 0.989898i | ||
−0.950240 | + | 0.311520i | ||||||||
3.13080 | + | 5.42271i | 0.119015 | + | 0.206141i | |||||
0.0547435 | + | 0.171188i | 0.00207953 | + | 0.00650289i | |||||
1.36532 | − | 2.36481i | 0.0518269 | − | 0.0897669i | |||||
3.29740 | − | 1.20016i | 0.125078 | − | 0.0455245i | |||||
−2.91707 | − | 6.59307i | −0.110571 | − | 0.249910i | |||||
−7.64720 | + | 6.41676i | −0.289658 | + | 0.243052i | |||||
−30.8109 | − | 11.2143i | −1.16621 | − | 0.424466i | |||||
−2.76222 | − | 40.8668i | −0.104477 | − | 1.54573i | |||||
−0.0309211 | + | 0.175362i | −0.00116871 | + | 0.00662806i | |||||
−38.7348 | −1.46299 | −0.731496 | − | 0.681845i | ||||||
−0.731496 | + | 0.681845i | ||||||||
1.04486 | + | 5.09002i | 0.0394358 | + | 0.192110i | |||||
9.26406 | 0.349401 | |||||||||
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7.54899 | − | 5.06636i | 0.284311 | − | 0.190810i | |||||
4.92317 | + | 1.79189i | 0.185286 | + | 0.0674386i | |||||
0.235325 | − | 0.197461i | 0.00885031 | − | 0.00742629i | |||||
−15.3292 | − | 1.64721i | −0.576108 | − | 0.0619060i | |||||
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−0.650830 | + | 0.759223i | ||||||||
0.235414 | − | 0.407748i | 0.00883492 | − | 0.0153025i | |||||
36.8120 | − | 19.3542i | 1.38056 | − | 0.725841i | |||||
0.176290 | + | 0.305343i | 0.00660674 | + | 0.0114432i | |||||
56.9867 | + | 47.8175i | 2.13417 | + | 1.79078i | |||||
0.357197 | − | 0.0881775i | 0.0133678 | − | 0.00329996i | |||||
0.134127 | + | 0.760673i | 0.00501607 | + | 0.0284476i | |||||
4.28194 | + | 24.2841i | 0.160024 | + | 0.907540i | |||||
−24.7806 | − | 25.7807i | −0.925448 | − | 0.962799i | |||||
−26.3931 | − | 22.1464i | −0.984981 | − | 0.826497i | |||||
−18.3488 | − | 31.7811i | −0.684296 | − | 1.18524i | −0.973658 | − | 0.228015i | ||
0.289362 | − | 0.957220i | ||||||||
−0.883996 | − | 1.14237i | −0.0329446 | − | 0.0425738i | |||||
−0.252277 | + | 0.436957i | −0.00939529 | + | 0.0162731i | |||||
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10.3921 | − | 14.2337i | 0.386485 | − | 0.529358i | |||||
5.41126 | − | 4.54058i | 0.201108 | − | 0.168749i | |||||
−18.6503 | − | 6.78816i | −0.692656 | − | 0.252106i | |||||
−13.1031 | − | 6.42857i | −0.486302 | − | 0.238587i | |||||
1.02648 | − | 5.82147i | 0.0380701 | − | 0.215906i | −0.959838 | − | 0.280555i | ||
0.997908 | + | 0.0646485i | ||||||||
−0.0373450 | −0.00138410 | |||||||||
−24.8165 | + | 10.6367i | −0.919131 | + | 0.393953i | |||||
1.27396 | 0.0471514 | |||||||||
12.0523 | − | 68.3518i | 0.445769 | − | 2.52808i | |||||
15.3093 | + | 7.51097i | 0.565849 | + | 0.277613i | |||||
−2.18666 | − | 0.795879i | −0.0807661 | − | 0.0293965i | 0.301321 | − | 0.953523i | ||
−0.382087 | + | 0.924126i | ||||||||
2.24284 | − | 1.88196i | 0.0827846 | − | 0.0694645i | |||||
−3.44161 | + | 4.71388i | −0.126946 | + | 0.173874i | |||||
−8.01307 | + | 2.91652i | −0.295366 | + | 0.107504i | |||||
0.118271 | − | 0.204851i | 0.00435655 | − | 0.00754577i | |||||
3.22221 | + | 4.16401i | 0.118611 | + | 0.153279i | |||||
2.67932 | + | 4.64071i | 0.0985602 | + | 0.170711i | 0.911089 | − | 0.412210i | ||
−0.812529 | + | 0.582921i | ||||||||
2.36874 | + | 1.98761i | 0.0870768 | + | 0.0730661i | |||||
−1.73143 | − | 1.80131i | −0.0636057 | − | 0.0661729i | |||||
0.0113168 | + | 0.0641807i | 0.000415453 | + | 0.00235615i | |||||
−2.58787 | − | 14.6766i | −0.0949399 | − | 0.538431i | −0.994766 | − | 0.102182i | ||
0.899826 | − | 0.436249i | ||||||||
−14.6697 | + | 3.62136i | −0.537818 | + | 0.132766i | |||||
−4.86990 | − | 4.08633i | −0.178419 | − | 0.149711i | |||||
−2.68178 | − | 4.64497i | −0.0981868 | − | 0.170065i | |||||
17.4255 | − | 9.16163i | 0.637567 | − | 0.335206i | |||||
4.56239 | − | 7.90228i | 0.166817 | − | 0.288936i | |||||
0.556509 | − | 0.202553i | 0.0203344 | − | 0.00740111i | |||||
−8.09963 | − | 0.870351i | −0.295757 | − | 0.0317807i | |||||
−18.1866 | + | 15.2604i | −0.663638 | + | 0.556858i | −0.911175 | − | 0.412020i | ||
0.247537 | + | 0.968878i | ||||||||
10.2441 | + | 3.72856i | 0.373566 | + | 0.135967i | |||||
−12.7276 | + | 8.54186i | −0.463818 | + | 0.311283i | |||||
0.722801 | − | 4.09921i | 0.0263229 | − | 0.149284i | |||||
−6.51698 | −0.237177 | |||||||||
−0.0390203 | − | 0.190087i | −0.00141916 | − | 0.00691338i | |||||
49.8321 | 1.81118 | 0.905589 | − | 0.424157i | ||||||
0.905589 | + | 0.424157i | ||||||||
0.0968890 | − | 0.549485i | 0.00351917 | − | 0.0199582i | |||||
1.59784 | + | 23.6399i | 0.0579978 | + | 0.858074i | |||||
0.652668 | + | 0.237552i | 0.0236747 | + | 0.00861690i | |||||
−2.96278 | + | 2.48607i | −0.107401 | + | 0.0901198i | −0.694907 | − | 0.719100i | ||
0.587506 | + | 0.809220i | ||||||||
10.9981 | + | 24.8574i | 0.398418 | + | 0.900490i | |||||
0.245621 | − | 0.0893987i | 0.00889207 | − | 0.00323645i | |||||
−6.35700 | + | 11.0106i | −0.229988 | + | 0.398351i | |||||
2.50255 | + | 7.82570i | 0.0904799 | + | 0.282939i | |||||
5.49261 | + | 9.51347i | 0.198456 | + | 0.343736i | |||||
−6.81878 | − | 5.72164i | −0.246212 | − | 0.206596i | |||||
0.481288 | − | 1.66384i | 0.0173670 | − | 0.0600386i | |||||
−7.86395 | − | 44.5987i | −0.283581 | − | 1.60827i | −0.710309 | − | 0.703890i | ||
0.426728 | − | 0.904380i | ||||||||
−0.00500898 | − | 0.0284073i | −0.000180511 | − | 0.00102373i | |||||
−1.14596 | + | 3.96165i | −0.0412708 | + | 0.142675i | |||||
12.3553 | + | 10.3674i | 0.444678 | + | 0.373129i | |||||
0.350111 | + | 0.606410i | 0.0125926 | + | 0.0218110i | 0.872253 | − | 0.489055i | ||
−0.859660 | + | 0.510866i | ||||||||
−35.7709 | − | 7.77737i | −1.28576 | − | 0.279552i | |||||
−20.7983 | + | 36.0238i | −0.747098 | + | 1.29401i | |||||
17.7543 | − | 6.46205i | 0.637343 | − | 0.231974i | |||||
0.168078 | + | 0.379884i | 0.00602976 | + | 0.0136283i | |||||
3.22891 | − | 2.70937i | 0.115762 | − | 0.0971357i | |||||
−2.37901 | − | 0.865888i | −0.0852368 | − | 0.0310237i | |||||
−0.0562396 | − | 0.832061i | −0.00201370 | − | 0.0297926i | |||||
0.272401 | − | 1.54486i | 0.00974729 | − | 0.0552796i | |||||
48.5035 | 1.73448 | |||||||||
21.6203 | − | 0.604037i | 0.772646 | − | 0.0215865i | |||||
−6.99861 | −0.249950 | |||||||||
−0.113607 | + | 0.644297i | −0.00405480 | + | 0.0229959i | |||||
11.9506 | − | 8.02039i | 0.426262 | − | 0.286078i | |||||
13.3832 | + | 4.87109i | 0.477060 | + | 0.173635i | 0.569348 | − | 0.822097i | ||
−0.0922881 | + | 0.995732i | ||||||||
−8.31488 | + | 6.97701i | −0.296205 | + | 0.248546i | |||||
15.8701 | + | 1.70533i | 0.564989 | + | 0.0607113i | |||||
−6.27243 | + | 2.28298i | −0.223163 | + | 0.0812247i | |||||
−0.227353 | + | 0.393788i | −0.00808376 | + | 0.0140015i | |||||
−4.06944 | − | 2.56926i | −0.144601 | − | 0.0912947i | |||||
4.92265 | + | 8.52628i | 0.174808 | + | 0.302777i | |||||
−13.4323 | − | 11.2710i | −0.476694 | − | 0.399994i | |||||
−1.41293 | + | 0.348796i | −0.0501115 | + | 0.0123705i | |||||
2.44339 | + | 13.8571i | 0.0866035 | + | 0.491153i | |||||
−2.84866 | − | 16.1555i | −0.100905 | − | 0.572258i | −0.992777 | − | 0.119972i | ||
0.891873 | − | 0.452287i | ||||||||
0.0646603 | + | 0.0672700i | 0.00228895 | + | 0.00238133i | |||||
−47.5011 | − | 39.8582i | −1.68047 | − | 1.41008i | |||||
−2.38409 | − | 4.12936i | −0.0842901 | − | 0.145995i | |||||
−1.04812 | + | 0.142336i | −0.0370334 | + | 0.00502920i | |||||
−16.8042 | + | 29.1057i | −0.593375 | + | 1.02776i | |||||
3.98859 | − | 1.45173i | 0.140754 | − | 0.0512304i | |||||
−0.150595 | + | 0.206266i | −0.00531108 | + | 0.00727444i | |||||
0.117458 | − | 0.0985592i | 0.00413986 | − | 0.00347376i | |||||
−8.19771 | − | 2.98372i | −0.288752 | − | 0.105097i | |||||
24.5117 | + | 12.0258i | 0.862854 | + | 0.423328i | |||||
−1.42841 | + | 8.10090i | −0.0502512 | + | 0.284989i | |||||
−24.5383 | −0.862719 | −0.431360 | − | 0.902180i | ||||||
−0.431360 | + | 0.902180i | ||||||||
4.17644 | − | 1.15565i | 0.146745 | − | 0.0406054i | |||||
24.9380 | 0.875690 | 0.437845 | − | 0.899050i | ||||||
0.437845 | + | 0.899050i | ||||||||
−0.0269930 | + | 0.153085i | −0.000947269 | + | 0.00537223i | |||||
24.7421 | + | 12.1388i | 0.867742 | + | 0.425726i | |||||
9.68116 | + | 3.52365i | 0.339325 | + | 0.123504i | |||||
−7.61271 | + | 6.38782i | −0.266662 | + | 0.223756i | |||||
−5.80933 | + | 7.95688i | −0.203367 | + | 0.278547i | |||||
16.5404 | − | 6.02021i | 0.578675 | − | 0.210620i | |||||
−5.73207 | + | 9.92823i | −0.200417 | + | 0.347132i | |||||
0.0424516 | − | 0.103681i | 0.00148338 | − | 0.00362290i | |||||
−0.422516 | − | 0.731819i | −0.0147549 | − | 0.0255562i | |||||
39.4475 | + | 33.1004i | 1.37673 | + | 1.15521i | 0.970405 | + | 0.241482i | ||
0.406323 | + | 0.913730i | ||||||||
−2.70754 | − | 2.81682i | −0.0944364 | − | 0.0982479i | |||||
−6.53638 | − | 37.0697i | −0.227844 | − | 1.29217i | −0.857173 | − | 0.515028i | ||
0.629329 | − | 0.777139i | ||||||||
−2.34610 | − | 13.3054i | −0.0817301 | − | 0.463515i | |||||
−12.8626 | + | 3.17526i | −0.447818 | + | 0.110548i | |||||
0.254647 | + | 0.213674i | 0.00886031 | + | 0.00743469i | |||||
19.7718 | + | 34.2457i | 0.687531 | + | 1.19084i | 0.972634 | + | 0.232342i | ||
−0.285103 | + | 0.958497i | ||||||||
1.01168 | − | 25.5620i | 0.0351583 | − | 0.888340i | |||||
6.12893 | − | 10.6156i | 0.212867 | − | 0.368696i | −0.739744 | − | 0.672889i | ||
0.952611 | + | 0.304193i | ||||||||
−2.96915 | + | 1.08068i | −0.103061 | + | 0.0375110i | |||||
32.9666 | + | 3.54245i | 1.14360 | + | 0.122886i | |||||
0.766044 | − | 0.642788i | 0.0265578 | − | 0.0222847i | |||||
37.4074 | + | 13.6152i | 1.29609 | + | 0.471738i | |||||
−10.4813 | + | 7.03434i | −0.362938 | + | 0.243579i | |||||
1.72310 | − | 9.77219i | 0.0596304 | − | 0.338181i | |||||
2.31411 | 0.0800351 | |||||||||
6.62172 | − | 44.8440i | 0.228880 | − | 1.55004i | |||||
−5.81888 | −0.201010 | |||||||||
−6.71673 | + | 38.0925i | −0.231887 | + | 1.31510i | 0.617184 | + | 0.786819i | ||
−0.849071 | + | 0.528279i | ||||||||
0.00210027 | + | 0.0310733i | 7.24661e−5 | + | 0.00107213i | |||||
10.9700 | + | 3.99275i | 0.378276 | + | 0.137681i | |||||
17.8740 | − | 14.9980i | 0.615977 | − | 0.516866i | |||||
5.73092 | + | 12.9528i | 0.197383 | + | 0.446119i | |||||
2.50252 | − | 0.910843i | 0.0861403 | − | 0.0313525i | |||||
0.240744 | − | 0.416980i | 0.00828183 | − | 0.0143445i | |||||
−21.9966 | + | 24.2024i | −0.756257 | + | 0.832094i | |||||
0.157344 | + | 0.272527i | 0.00540640 | + | 0.00936415i | |||||
−1.33683 | − | 1.12173i | −0.0459068 | − | 0.0385204i | |||||
3.64254 | − | 12.5925i | 0.125012 | − | 0.432172i | |||||
4.70958 | + | 26.7093i | 0.161537 | + | 0.916123i | |||||
9.50962 | + | 53.9317i | 0.325985 | + | 1.84876i | |||||
−0.470633 | + | 1.62700i | −0.0161236 | + | 0.0557402i | |||||
0.538959 | + | 0.452241i | 0.0184536 | + | 0.0154844i | 0.651968 | − | 0.758247i | ||
−0.633514 | + | 0.773731i | ||||||||
−0.183836 | − | 0.318414i | −0.00629075 | − | 0.0108959i | |||||
−1.40143 | + | 1.54196i | −0.0479278 | + | 0.0527340i | |||||
−7.92910 | + | 13.7336i | −0.271011 | + | 0.469405i | |||||
−33.4379 | + | 12.1704i | −1.14222 | + | 0.415733i | −0.842713 | − | 0.538363i | ||
−0.299503 | + | 0.954095i | ||||||||
−1.12424 | − | 2.54098i | −0.0383811 | − | 0.0867476i | |||||
18.2482 | − | 15.3121i | 0.622621 | − | 0.522441i | −0.276005 | − | 0.961156i | ||
0.898626 | + | 0.438715i | ||||||||
5.52088 | + | 2.00944i | 0.188261 | + | 0.0685212i | |||||
−0.00765558 | − | 0.113264i | −0.000260902 | − | 0.00386002i | |||||
−2.07756 | + | 11.7824i | −0.0707620 | + | 0.401311i | |||||
−50.7596 | −1.72788 | −0.863939 | − | 0.503597i | ||||||
−0.863939 | + | 0.503597i | ||||||||
4.07221 | + | 3.22755i | 0.138539 | + | 0.109804i | |||||
3.01488 | 0.102509 | |||||||||
−3.10539 | + | 17.6116i | −0.105526 | + | 0.598465i | |||||
22.0810 | − | 14.8193i | 0.749911 | − | 0.503288i | |||||
0.306143 | + | 0.111427i | 0.0103912 | + | 0.00378208i | |||||
−17.0365 | + | 14.2954i | −0.577925 | + | 0.484937i | |||||
−3.45145 | − | 0.370877i | −0.117015 | − | 0.0125739i | |||||
−0.138558 | + | 0.0504309i | −0.00469485 | + | 0.00170878i | |||||
−3.49959 | + | 6.06147i | −0.118511 | + | 0.205267i | |||||
−2.24155 | + | 56.6369i | −0.0758649 | + | 1.91687i | |||||
6.15042 | + | 10.6528i | 0.208041 | + | 0.360338i | |||||
0.134550 | + | 0.112901i | 0.00454862 | + | 0.00381675i | |||||
−4.44925 | + | 1.09834i | −0.150326 | + | 0.0371095i | |||||
−6.32522 | − | 35.8721i | −0.213588 | − | 1.21131i | −0.883341 | − | 0.468731i | ||
0.669753 | − | 0.742584i | ||||||||
−1.33316 | − | 7.56073i | −0.0449920 | − | 0.255162i | |||||
−7.18750 | − | 7.47759i | −0.242428 | − | 0.252213i | |||||
0.591698 | + | 0.496494i | 0.0199462 | + | 0.0167368i | |||||
21.2486 | + | 36.8037i | 0.715885 | + | 1.23995i | 0.962617 | + | 0.270865i | ||
−0.246733 | + | 0.969084i | ||||||||
7.95561 | − | 19.4302i | 0.267879 | − | 0.654249i | |||||
−2.59330 | + | 4.49173i | −0.0872715 | + | 0.151159i | −0.906357 | − | 0.422513i | ||
0.819085 | + | 0.573672i | ||||||||
−5.34498 | + | 1.94541i | −0.179771 | + | 0.0654313i | |||||
−4.37727 | + | 5.99543i | −0.147140 | + | 0.201534i | |||||
−23.4632 | + | 19.6880i | −0.788263 | + | 0.661431i | |||||
−42.6490 | − | 15.5230i | −1.43201 | − | 0.521210i | −0.494505 | − | 0.869175i | ||
−0.937507 | + | 0.347965i | ||||||||
−9.98635 | − | 4.89944i | −0.335120 | − | 0.164415i | |||||
0.101770 | − | 0.577167i | 0.00341326 | − | 0.0193576i | |||||
0.169762 | 0.00569045 | |||||||||
11.7589 | − | 8.37739i | 0.393939 | − | 0.280653i | |||||
−24.3458 | −0.815157 | |||||||||
2.73075 | − | 15.4869i | 0.0913811 | − | 0.518248i | |||||
20.5309 | + | 10.0727i | 0.686656 | + | 0.336883i | |||||
11.1568 | + | 4.06076i | 0.372932 | + | 0.135736i | |||||
−0.0286079 | + | 0.0240049i | −0.000955724 | + | 0.000801947i | |||||
8.70921 | − | 11.9288i | 0.290792 | − | 0.398290i | |||||
36.3787 | − | 13.2408i | 1.21397 | − | 0.441850i | |||||
−18.1562 | + | 31.4475i | −0.605544 | + | 1.04883i | |||||
14.1744 | − | 1.92491i | 0.472480 | − | 0.0641636i | |||||
4.96308 | + | 8.59630i | 0.165344 | + | 0.286384i | |||||
−2.15677 | − | 1.80975i | −0.0718126 | − | 0.0602580i | |||||
0.546958 | + | 0.569034i | 0.0182016 | + | 0.0189363i | |||||
−2.11431 | − | 11.9909i | −0.0703210 | − | 0.398810i | |||||
−0.590607 | − | 3.34950i | −0.0196325 | − | 0.111341i | |||||
22.7602 | − | 5.61859i | 0.756158 | − | 0.186665i | |||||
−17.7861 | − | 14.9243i | −0.590576 | − | 0.495552i | 0.297825 | − | 0.954621i | ||
−0.888401 | + | 0.459068i | ||||||||
−13.1287 | − | 22.7395i | −0.435690 | − | 0.754637i | |||||
−20.8668 | − | 13.1743i | −0.692107 | − | 0.436965i | |||||
−0.00899056 | + | 0.0155721i | −0.000298034 | + | 0.000516210i | |||||
−41.0536 | + | 14.9423i | −1.36017 | + | 0.495060i | −0.916106 | − | 0.400937i | ||
−0.444060 | + | 0.895997i | ||||||||
−2.48422 | − | 0.266943i | −0.0822606 | − | 0.00883937i | |||||
−8.06451 | + | 6.76692i | −0.266896 | + | 0.223953i | |||||
3.86038 | + | 1.40506i | 0.127690 | + | 0.0464754i | |||||
6.81754 | − | 4.57546i | 0.225381 | − | 0.151260i | |||||
−1.47265 | + | 8.35183i | −0.0486578 | + | 0.275952i | |||||
−0.310318 | −0.0102476 | |||||||||
−15.4869 | − | 25.1733i | −0.511145 | − | 0.830844i | |||||
33.6906 | 1.11135 | 0.555675 | − | 0.831399i | ||||||
0.555675 | + | 0.831399i | ||||||||
−0.712964 | + | 4.04342i | −0.0235057 | + | 0.133308i | |||||
1.06654 | + | 15.7794i | 0.0351437 | + | 0.519949i | |||||
9.39258 | + | 3.41862i | 0.309328 | + | 0.112586i | |||||
−0.749085 | + | 0.628557i | −0.0246564 | + | 0.0206892i | |||||
0.0419849 | + | 0.0948928i | 0.00138120 | + | 0.00312174i | |||||
−28.7751 | + | 10.4733i | −0.946121 | + | 0.344360i | |||||
3.19439 | − | 5.53285i | 0.104974 | − | 0.181821i | |||||
39.6066 | + | 8.61133i | 1.30085 | + | 0.282833i | |||||
−2.08122 | − | 3.60479i | −0.0683195 | − | 0.118333i | |||||
8.45867 | + | 7.09766i | 0.277520 | + | 0.232867i | 0.770914 | − | 0.636939i | ||
−0.493394 | + | 0.869806i | ||||||||
−2.02160 | + | 6.98880i | −0.0662910 | + | 0.229172i | |||||
1.75309 | + | 9.94225i | 0.0574551 | + | 0.325844i | |||||
−4.10649 | − | 23.2890i | −0.134512 | − | 0.762858i | |||||
−0.00835168 | + | 0.0288722i | −0.000273422 | + | 0.000945235i | |||||
3.97255 | + | 3.33336i | 0.129986 | + | 0.109071i | |||||
−2.19673 | − | 3.80485i | −0.0718407 | − | 0.124432i | |||||
0.913773 | + | 2.85745i | 0.0298676 | + | 0.0933987i | |||||
10.0538 | − | 17.4136i | 0.328442 | − | 0.568879i | −0.653761 | − | 0.756702i | ||
0.982203 | + | 0.187822i | ||||||||
0.00517443 | − | 0.00188334i | 0.000168951 | − | 6.14932e-5i | |||||
1.95183 | + | 4.41146i | 0.0636956 | + | 0.143963i | |||||
4.02095 | − | 3.37398i | 0.131149 | − | 0.110047i | |||||
−0.352721 | − | 0.128380i | −0.0114984 | − | 0.00418506i | 0.336265 | − | 0.941768i | ||
−0.347763 | + | 0.937583i | ||||||||
−0.158711 | − | 2.34812i | −0.00517109 | − | 0.0765060i | |||||
2.59879 | − | 14.7385i | 0.0846283 | − | 0.479951i | |||||
−8.90129 | −0.289712 | |||||||||
−0.0886562 | − | 0.0294914i | −0.00288399 | − | 0.000959356i | |||||
19.5749 | 0.636436 | |||||||||
−6.20819 | + | 35.2084i | −0.201739 | + | 1.14412i | 0.700750 | + | 0.713407i | ||
−0.902489 | + | 0.430713i | ||||||||
19.9379 | − | 13.3809i | 0.647553 | − | 0.434593i | |||||
−2.48632 | − | 0.904947i | −0.0807094 | − | 0.0293758i | |||||
−5.26899 | + | 4.42121i | −0.170949 | + | 0.143443i | |||||
−31.1127 | − | 3.34324i | −1.00890 | − | 0.108412i | |||||
0.199608 | − | 0.0726514i | 0.00646934 | − | 0.00235465i | |||||
9.14377 | − | 15.8375i | 0.296196 | − | 0.513026i | −0.679067 | − | 0.734077i | ||
0.975262 | + | 0.221050i | ||||||||
4.63388 | − | 2.43631i | 0.150027 | − | 0.0788783i | |||||
3.06081 | + | 5.30148i | 0.0990456 | + | 0.171552i | |||||
−15.8155 | − | 13.2707i | −0.511508 | − | 0.429207i | |||||
−11.2286 | + | 2.77189i | −0.362969 | + | 0.0896025i | |||||
2.72104 | + | 15.4318i | 0.0879127 | + | 0.498578i | |||||
0.0146283 | + | 0.0829612i | 0.000472373 | + | 0.00267896i | |||||
−0.577921 | − | 0.601246i | −0.0186523 | − | 0.0194051i | |||||
34.5524 | + | 28.9929i | 1.11459 | + | 0.935256i | |||||
−3.21107 | − | 5.56174i | −0.103529 | − | 0.179318i | |||||
−29.1152 | − | 37.6251i | −0.938224 | − | 1.21245i | |||||
5.08752 | − | 8.81184i | 0.163858 | − | 0.283810i | |||||
7.29744 | − | 2.65605i | 0.234913 | − | 0.0855013i | |||||
−0.325245 | + | 0.445480i | −0.0104646 | + | 0.0143331i | |||||
−2.21195 | + | 1.85605i | −0.0711315 | + | 0.0596864i | −0.677660 | − | 0.735375i | ||
0.606529 | + | 0.795062i | ||||||||
−7.91832 | − | 2.88203i | −0.254504 | − | 0.0926321i | |||||
12.7588 | + | 6.25963i | 0.409871 | + | 0.201088i | |||||
1.57969 | − | 8.95889i | 0.0507209 | − | 0.287653i | |||||
28.9452 | 0.928895 | 0.464448 | − | 0.885601i | ||||||
0.464448 | + | 0.885601i | ||||||||
−13.5897 | + | 7.63676i | −0.435890 | + | 0.244949i | |||||
0.272166 | 0.00872525 | |||||||||
−6.31391 | + | 35.8079i | −0.202311 | + | 1.14736i | |||||
7.41444 | + | 3.63763i | 0.237452 | + | 0.116497i | |||||
9.25156 | + | 3.36729i | 0.296135 | + | 0.107784i | |||||
4.86613 | − | 4.08317i | 0.155681 | − | 0.130632i | −0.561620 | − | 0.827395i | ||
0.717301 | + | 0.696763i | ||||||||
21.0798 | − | 28.8724i | 0.674058 | − | 0.923239i | |||||
0.531502 | − | 0.193451i | 0.0169869 | − | 0.00618272i | |||||
−1.68487 | + | 2.91828i | −0.0538212 | + | 0.0932210i | |||||
−12.8503 | − | 16.6062i | −0.410278 | − | 0.530196i | |||||
−1.04178 | − | 1.80442i | −0.0332447 | − | 0.0575815i | |||||
41.5259 | + | 34.8444i | 1.32447 | + | 1.11136i | 0.985336 | + | 0.170625i | ||
0.339134 | + | 0.940738i | ||||||||
2.10655 | + | 2.19157i | 0.0671544 | + | 0.0698648i | |||||
0.907521 | + | 5.14681i | 0.0289160 | + | 0.163991i | |||||
4.11130 | + | 23.3163i | 0.130930 | + | 0.742543i | |||||
0.684601 | − | 0.169000i | 0.0217911 | − | 0.00537934i | |||||
−1.10503 | − | 0.927234i | −0.0351558 | − | 0.0294992i | |||||
52.0261 | + | 90.1118i | 1.65433 | + | 2.86539i | |||||
−2.05102 | + | 1.07834i | −0.0651858 | + | 0.0342720i | |||||
15.3730 | − | 26.6268i | 0.488340 | − | 0.845829i | −0.511570 | − | 0.859241i | ||
0.999910 | + | 0.0134121i | ||||||||
−8.19771 | + | 2.98372i | −0.260277 | + | 0.0947333i | |||||
45.7035 | + | 4.91110i | 1.45036 | + | 0.155849i | |||||
0.0279746 | − | 0.0234735i | 0.000887299 | − | 0.000744533i | |||||
6.36638 | + | 2.31717i | 0.201828 | + | 0.0734593i | |||||
9.43792 | − | 6.33408i | 0.299052 | − | 0.200703i | |||||
−6.56327 | + | 37.2222i | −0.207861 | + | 1.17884i | 0.685013 | + | 0.728531i | ||
−0.892874 | + | 0.450307i | ||||||||
16.4814 | 0.521710 | |||||||||
24.9542 | − | 22.1556i | 0.789516 | − | 0.700973i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 702.2.w.d.79.2 | ✓ | 66 | |
27.13 | even | 9 | inner | 702.2.w.d.391.2 | yes | 66 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
702.2.w.d.79.2 | ✓ | 66 | 1.1 | even | 1 | trivial | |
702.2.w.d.391.2 | yes | 66 | 27.13 | even | 9 | inner |