Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,4,Mod(37,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.37");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 99.f (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 82.4 | ||
Character | 99.82 | ||
Dual form | 99.4.f.e.64.4 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.0654439 | + | 0.201416i | 0.0231379 | + | 0.0712112i | 0.961959 | − | 0.273195i | ||
−0.938821 | + | 0.344406i | ||||||||
0 | 0 | |||||||||
6.43585 | − | 4.67592i | 0.804481 | − | 0.584490i | |||||
−5.73265 | + | 17.6433i | −0.512744 | + | 1.57806i | 0.274605 | + | 0.961557i | ||
−0.787350 | + | 0.616507i | ||||||||
0 | 0 | |||||||||
−17.3440 | + | 12.6012i | −0.936488 | + | 0.680398i | −0.947573 | − | 0.319540i | ||
0.0110848 | + | 0.999939i | ||||||||
2.73367 | + | 1.98613i | 0.120812 | + | 0.0877752i | |||||
0 | 0 | |||||||||
−3.92880 | −0.124240 | |||||||||
29.4005 | + | 21.6012i | 0.805871 | + | 0.592091i | |||||
0 | 0 | |||||||||
1.29584 | + | 3.98820i | 0.0276464 | + | 0.0850867i | 0.963928 | − | 0.266164i | ||
−0.936281 | + | 0.351251i | ||||||||
−3.67313 | − | 2.66869i | −0.0701204 | − | 0.0509454i | |||||
0 | 0 | |||||||||
19.4451 | − | 59.8458i | 0.303829 | − | 0.935090i | |||||
−26.8314 | + | 82.5787i | −0.382799 | + | 1.17813i | 0.555266 | + | 0.831673i | ||
−0.938065 | + | 0.346460i | ||||||||
0 | 0 | |||||||||
85.7906 | + | 62.3305i | 1.03588 | + | 0.752611i | 0.969477 | − | 0.245182i | ||
0.0664031 | + | 0.997793i | ||||||||
45.6041 | + | 140.355i | 0.509869 | + | 1.56922i | |||||
0 | 0 | |||||||||
−2.42673 | + | 7.33539i | −0.0235173 | + | 0.0710868i | |||||
−148.322 | −1.34466 | −0.672331 | − | 0.740251i | ||||||
−0.672331 | + | 0.740251i | ||||||||
0 | 0 | |||||||||
−177.295 | − | 128.813i | −1.41836 | − | 1.03050i | |||||
−0.718481 | + | 0.522007i | −0.00541945 | + | 0.00393746i | |||||
0 | 0 | |||||||||
−52.7014 | + | 162.198i | −0.355701 | + | 1.09474i | |||||
211.201 | − | 153.447i | 1.35238 | − | 0.982562i | 0.353492 | − | 0.935438i | ||
0.998889 | − | 0.0471249i | ||||||||
0 | 0 | |||||||||
14.4456 | + | 44.4590i | 0.0836937 | + | 0.257583i | 0.984143 | − | 0.177379i | ||
−0.900449 | + | 0.434962i | ||||||||
40.3584 | 0.222951 | |||||||||
0 | 0 | |||||||||
−18.3886 | −0.0927535 | |||||||||
−122.899 | − | 378.243i | −0.593533 | − | 1.82671i | |||||
0 | 0 | |||||||||
245.717 | − | 178.524i | 1.09177 | − | 0.793219i | 0.112074 | − | 0.993700i | ||
0.979698 | + | 0.200481i | ||||||||
−6.93988 | + | 21.3587i | −0.0296262 | + | 0.0911801i | |||||
0 | 0 | |||||||||
−50.7129 | + | 36.8451i | −0.200461 | + | 0.145643i | |||||
−116.323 | − | 84.5140i | −0.443090 | − | 0.321923i | 0.343772 | − | 0.939053i | ||
−0.786861 | + | 0.617130i | ||||||||
0 | 0 | |||||||||
174.897 | 0.620268 | 0.310134 | − | 0.950693i | ||||||
0.310134 | + | 0.950693i | ||||||||
290.223 | + | 1.54754i | 0.994379 | + | 0.00530228i | |||||
0 | 0 | |||||||||
−9.70676 | − | 29.8743i | −0.0311127 | − | 0.0957550i | |||||
−300.564 | − | 218.373i | −0.932805 | − | 0.677722i | 0.0138731 | − | 0.999904i | ||
−0.946678 | + | 0.322181i | ||||||||
0 | 0 | |||||||||
36.0324 | − | 110.896i | 0.105051 | − | 0.323313i | |||||
14.3420 | − | 44.1401i | 0.0405652 | − | 0.124847i | |||||
0 | 0 | |||||||||
26.9884 | + | 19.6082i | 0.0719733 | + | 0.0522917i | |||||
−44.9117 | − | 138.224i | −0.116398 | − | 0.358237i | 0.875838 | − | 0.482605i | ||
−0.992236 | + | 0.124369i | ||||||||
0 | 0 | |||||||||
−549.659 | + | 394.890i | −1.34756 | + | 0.968125i | |||||
−72.4402 | −0.172861 | |||||||||
0 | 0 | |||||||||
44.7284 | + | 32.4971i | 0.101261 | + | 0.0735702i | |||||
164.834 | − | 119.759i | 0.363722 | − | 0.264259i | −0.390881 | − | 0.920441i | ||
0.754603 | + | 0.656182i | ||||||||
0 | 0 | |||||||||
−56.4889 | + | 173.855i | −0.118568 | + | 0.364915i | −0.992675 | − | 0.120819i | ||
0.874106 | + | 0.485735i | ||||||||
−8.00936 | + | 5.81914i | −0.0164063 | + | 0.0119199i | |||||
0 | 0 | |||||||||
−152.919 | − | 470.637i | −0.298671 | − | 0.919214i | |||||
−77.7936 | −0.148448 | |||||||||
0 | 0 | |||||||||
−153.054 | −0.279083 | −0.139542 | − | 0.990216i | ||||||
−0.139542 | + | 0.990216i | ||||||||
213.448 | + | 656.925i | 0.380653 | + | 1.17153i | |||||
0 | 0 | |||||||||
68.1412 | − | 49.5075i | 0.116349 | − | 0.0845325i | |||||
48.7916 | − | 150.165i | 0.0815564 | − | 0.251005i | −0.901961 | − | 0.431817i | ||
0.983518 | + | 0.180812i | ||||||||
0 | 0 | |||||||||
525.951 | − | 382.126i | 0.843260 | − | 0.612664i | −0.0800196 | − | 0.996793i | ||
0.923279 | + | 0.384129i | ||||||||
52.0381 | + | 37.8079i | 0.0817474 | + | 0.0593930i | |||||
0 | 0 | |||||||||
843.588 | 1.27324 | |||||||||
−782.122 | − | 4.17047i | −1.15755 | − | 0.00617233i | |||||
0 | 0 | |||||||||
313.345 | + | 964.378i | 0.446255 | + | 1.37343i | 0.881102 | + | 0.472926i | ||
−0.434847 | + | 0.900504i | ||||||||
944.405 | + | 686.150i | 1.31985 | + | 0.958924i | |||||
0 | 0 | |||||||||
9.40977 | − | 28.9603i | 0.0126724 | − | 0.0390016i | |||||
−94.2610 | + | 290.105i | −0.124656 | + | 0.383653i | −0.993838 | − | 0.110839i | ||
0.869182 | + | 0.494493i | ||||||||
0 | 0 | |||||||||
−1303.14 | − | 946.789i | −1.66289 | − | 1.20816i | |||||
11.4459 | + | 35.2270i | 0.0143517 | + | 0.0441701i | |||||
0 | 0 | |||||||||
37.4685 | + | 117.443i | 0.0453882 | + | 0.142267i | |||||
1345.51 | 1.60252 | 0.801259 | − | 0.598318i | ||||||
0.801259 | + | 0.598318i | ||||||||
0 | 0 | |||||||||
−72.7310 | − | 52.8422i | −0.0837833 | − | 0.0608722i | |||||
−954.577 | + | 693.541i | −1.08176 | + | 0.785941i | |||||
0 | 0 | |||||||||
24.3136 | − | 74.8296i | 0.0266783 | − | 0.0821073i | |||||
−1591.52 | + | 1156.31i | −1.71881 | + | 1.24879i | |||||
0 | 0 | |||||||||
320.534 | + | 986.501i | 0.335518 | + | 1.03262i | 0.966466 | + | 0.256794i | ||
−0.630948 | + | 0.775825i | ||||||||
24.6944 | 0.0254542 | |||||||||
0 | 0 | |||||||||
−1743.36 | −1.74336 | |||||||||
225.488 | + | 693.982i | 0.222148 | + | 0.683701i | 0.998569 | + | 0.0534860i | ||
−0.776421 | + | 0.630215i | ||||||||
0 | 0 | |||||||||
137.058 | − | 99.5783i | 0.131114 | − | 0.0952596i | −0.520296 | − | 0.853986i | ||
0.651409 | + | 0.758727i | ||||||||
−4.37866 | + | 13.4761i | −0.00412849 | + | 0.0127062i | |||||
0 | 0 | |||||||||
24.9013 | − | 18.0919i | 0.0228173 | − | 0.0165777i | |||||
938.826 | + | 682.097i | 0.848222 | + | 0.616269i | 0.924655 | − | 0.380805i | ||
−0.0764332 | + | 0.997075i | ||||||||
0 | 0 | |||||||||
963.937 | 0.847050 | 0.423525 | − | 0.905884i | ||||||
0.423525 | + | 0.905884i | ||||||||
−115.509 | − | 84.8668i | −0.100121 | − | 0.0735612i | |||||
0 | 0 | |||||||||
416.871 | + | 1283.00i | 0.351701 | + | 1.08243i | |||||
−485.899 | − | 353.026i | −0.404509 | − | 0.293893i | 0.366866 | − | 0.930274i | ||
−0.771375 | + | 0.636381i | ||||||||
0 | 0 | |||||||||
850.277 | − | 2616.88i | 0.689467 | − | 2.12196i | |||||
641.755 | − | 1975.12i | 0.513668 | − | 1.58091i | |||||
0 | 0 | |||||||||
34.9087 | + | 25.3627i | 0.0272340 | + | 0.0197866i | |||||
−575.222 | − | 1770.35i | −0.443114 | − | 1.36376i | |||||
0 | 0 | |||||||||
397.779 | + | 1270.17i | 0.298857 | + | 0.954298i | |||||
−38.7139 | −0.0287295 | |||||||||
0 | 0 | |||||||||
300.856 | + | 218.585i | 0.217885 | + | 0.158302i | |||||
1413.01 | − | 1026.62i | 1.01107 | − | 0.734586i | |||||
0 | 0 | |||||||||
596.515 | − | 1835.88i | 0.416789 | − | 1.28274i | −0.493853 | − | 0.869546i | ||
0.910641 | − | 0.413198i | ||||||||
345.991 | − | 251.377i | 0.238919 | − | 0.173585i | |||||
0 | 0 | |||||||||
−5.09112 | − | 15.6689i | −0.00343477 | − | 0.0105711i | |||||
50.4283 | 0.0336331 | 0.0168166 | − | 0.999859i | ||||||
0.0168166 | + | 0.999859i | ||||||||
0 | 0 | |||||||||
−2273.39 | −1.48216 | |||||||||
−10.0165 | − | 30.8276i | −0.00645741 | − | 0.0198739i | |||||
0 | 0 | |||||||||
−237.360 | + | 172.452i | −0.149658 | + | 0.108733i | |||||
265.998 | − | 818.658i | 0.165881 | − | 0.510531i | −0.833219 | − | 0.552944i | ||
0.999100 | + | 0.0424130i | ||||||||
0 | 0 | |||||||||
−991.138 | + | 720.104i | −0.604800 | + | 0.439413i | −0.847579 | − | 0.530669i | ||
0.242779 | + | 0.970082i | ||||||||
−2559.59 | − | 1859.65i | −1.54518 | − | 1.12264i | |||||
0 | 0 | |||||||||
33.4388 | 0.0197614 | |||||||||
−48.0513 | + | 145.247i | −0.0280997 | + | 0.0849381i | |||||
0 | 0 | |||||||||
1496.56 | + | 4605.94i | 0.857121 | + | 2.63795i | |||||
111.387 | + | 80.9271i | 0.0631398 | + | 0.0458738i | |||||
0 | 0 | |||||||||
746.634 | − | 2297.90i | 0.414682 | − | 1.27626i | |||||
−667.923 | + | 2055.66i | −0.367237 | + | 1.13024i | 0.581331 | + | 0.813667i | ||
−0.948568 | + | 0.316573i | ||||||||
0 | 0 | |||||||||
−2079.02 | − | 1510.50i | −1.12045 | − | 0.814057i | −0.136176 | − | 0.990685i | ||
−0.984278 | + | 0.176627i | ||||||||
110.727 | + | 340.782i | 0.0590863 | + | 0.181849i | |||||
0 | 0 | |||||||||
−50.3451 | − | 157.805i | −0.0263437 | − | 0.0825731i | |||||
−867.214 | −0.449396 | |||||||||
0 | 0 | |||||||||
−1889.81 | − | 1373.03i | −0.960658 | − | 0.697959i | −0.00735419 | − | 0.999973i | ||
−0.953303 | + | 0.302014i | ||||||||
−173.734 | + | 126.225i | −0.0874782 | + | 0.0635567i | |||||
0 | 0 | |||||||||
−231.361 | + | 712.055i | −0.114317 | + | 0.351831i | |||||
2572.49 | − | 1869.03i | 1.25926 | − | 0.914906i | |||||
0 | 0 | |||||||||
477.263 | + | 1468.87i | 0.229338 | + | 0.705831i | 0.997822 | + | 0.0659615i | ||
−0.768484 | + | 0.639869i | ||||||||
−1143.82 | −0.544618 | |||||||||
0 | 0 | |||||||||
−64.6006 | −0.0302047 | |||||||||
−969.584 | − | 2984.07i | −0.449274 | − | 1.38272i | −0.877728 | − | 0.479159i | ||
0.428455 | − | 0.903563i | ||||||||
0 | 0 | |||||||||
1763.18 | − | 1281.03i | 0.802542 | − | 0.583081i | |||||
105.415 | − | 324.435i | 0.0475588 | − | 0.146371i | |||||
0 | 0 | |||||||||
1125.61 | − | 817.804i | 0.498994 | − | 0.362541i | |||||
2411.39 | + | 1751.98i | 1.05974 | + | 0.769944i | 0.974040 | − | 0.226377i | ||
0.0856971 | + | 0.996321i | ||||||||
0 | 0 | |||||||||
4698.20 | 2.02943 | |||||||||
1864.43 | − | 1339.46i | 0.798506 | − | 0.573668i | |||||
0 | 0 | |||||||||
88.0557 | + | 271.007i | 0.0370789 | + | 0.114117i | |||||
−1045.40 | − | 759.528i | −0.436519 | − | 0.317150i | 0.347731 | − | 0.937594i | ||
−0.784250 | + | 0.620445i | ||||||||
0 | 0 | |||||||||
357.508 | − | 1100.30i | 0.146814 | − | 0.451847i | −0.850426 | − | 0.526095i | ||
0.997240 | + | 0.0742478i | ||||||||
5.88344 | − | 18.1074i | 0.00239621 | − | 0.00737477i | |||||
0 | 0 | |||||||||
−405.462 | − | 294.586i | −0.162451 | − | 0.118028i | |||||
1741.13 | + | 5358.66i | 0.691950 | + | 2.12960i | |||||
0 | 0 | |||||||||
−2572.65 | + | 1848.26i | −1.00605 | + | 0.722772i | |||||
−2955.48 | −1.14655 | |||||||||
0 | 0 | |||||||||
−337.055 | − | 244.884i | −0.128697 | − | 0.0935041i | |||||
−1185.92 | + | 861.618i | −0.449266 | + | 0.326411i | −0.789306 | − | 0.614000i | ||
0.340040 | + | 0.940411i | ||||||||
0 | 0 | |||||||||
−800.582 | + | 2463.94i | −0.298586 | + | 0.918955i | 0.683407 | + | 0.730038i | ||
−0.981993 | + | 0.188917i | ||||||||
−177.720 | + | 129.121i | −0.0657709 | + | 0.0477853i | |||||
0 | 0 | |||||||||
−286.643 | − | 882.197i | −0.104462 | − | 0.321500i | |||||
2831.08 | 1.02389 | 0.511944 | − | 0.859019i | ||||||
0.511944 | + | 0.859019i | ||||||||
0 | 0 | |||||||||
−4220.54 | −1.50345 | −0.751724 | − | 0.659478i | ||||||
−0.751724 | + | 0.659478i | ||||||||
−228.828 | − | 704.261i | −0.0809030 | − | 0.248994i | |||||
0 | 0 | |||||||||
−125.022 | + | 90.8338i | −0.0435471 | + | 0.0316388i | |||||
−1729.47 | + | 5322.75i | −0.597955 | + | 1.84032i | |||||
0 | 0 | |||||||||
2157.95 | − | 1567.84i | 0.735207 | − | 0.534159i | |||||
29.0262 | + | 21.0888i | 0.00981725 | + | 0.00713265i | |||||
0 | 0 | |||||||||
263.875 | 0.0879635 | |||||||||
1175.88 | + | 3685.73i | 0.389172 | + | 1.21984i | |||||
0 | 0 | |||||||||
−151.201 | − | 465.350i | −0.0493324 | − | 0.151829i | 0.923356 | − | 0.383946i | ||
−0.972688 | + | 0.232116i | ||||||||
−935.370 | − | 679.586i | −0.303026 | − | 0.220161i | |||||
0 | 0 | |||||||||
−75.9446 | + | 233.734i | −0.0242592 | + | 0.0746621i | |||||
−1002.62 | + | 3085.76i | −0.318039 | + | 0.978823i | |||||
0 | 0 | |||||||||
−810.779 | − | 589.065i | −0.253637 | − | 0.184278i | |||||
63.0838 | + | 194.152i | 0.0195990 | + | 0.0603194i | |||||
0 | 0 | |||||||||
−1691.05 | + | 5111.61i | −0.518229 | + | 1.56648i | |||||
−364.109 | −0.110826 | |||||||||
0 | 0 | |||||||||
1142.63 | + | 830.169i | 0.343122 | + | 0.249292i | 0.745978 | − | 0.665971i | ||
−0.402856 | + | 0.915263i | ||||||||
−699.977 | + | 508.563i | −0.208791 | + | 0.151695i | |||||
0 | 0 | |||||||||
39.3059 | − | 120.971i | 0.0115690 | − | 0.0356057i | |||||
1833.50 | − | 1332.11i | 0.536095 | − | 0.389496i | −0.286538 | − | 0.958069i | ||
0.822633 | + | 0.568573i | ||||||||
0 | 0 | |||||||||
−1068.63 | − | 3288.89i | −0.308370 | − | 0.949066i | −0.978398 | − | 0.206730i | ||
0.670028 | − | 0.742336i | ||||||||
582.727 | 0.167060 | |||||||||
0 | 0 | |||||||||
882.117 | 0.249629 | |||||||||
1012.89 | + | 3117.36i | 0.284793 | + | 0.876503i | 0.986461 | + | 0.163998i | ||
−0.701668 | + | 0.712504i | ||||||||
0 | 0 | |||||||||
5575.85 | − | 4051.09i | 1.54778 | − | 1.12453i | |||||
500.864 | − | 1541.50i | 0.138150 | − | 0.425183i | |||||
0 | 0 | |||||||||
318.932 | − | 231.717i | 0.0868625 | − | 0.0631093i | |||||
−2911.30 | − | 2115.19i | −0.787935 | − | 0.572469i | 0.119415 | − | 0.992844i | ||
−0.907350 | + | 0.420376i | ||||||||
0 | 0 | |||||||||
3946.71 | 1.05490 | 0.527448 | − | 0.849587i | ||||||
0.527448 | + | 0.849587i | ||||||||
−229.800 | + | 163.244i | −0.0610418 | + | 0.0433625i | |||||
0 | 0 | |||||||||
449.377 | + | 1383.04i | 0.117903 | + | 0.362869i | |||||
1750.02 | + | 1271.46i | 0.456344 | + | 0.331554i | |||||
0 | 0 | |||||||||
−137.415 | + | 422.921i | −0.0353989 | + | 0.108947i | |||||
−48.8116 | + | 150.227i | −0.0124982 | + | 0.0384654i | |||||
0 | 0 | |||||||||
299.250 | + | 217.418i | 0.0757049 | + | 0.0550028i | |||||
−1212.75 | − | 3732.47i | −0.304973 | − | 0.938611i | −0.979687 | − | 0.200532i | ||
0.674714 | − | 0.738079i | ||||||||
0 | 0 | |||||||||
−4360.73 | − | 3203.92i | −1.08362 | − | 0.796162i | |||||
408.814 | 0.100989 | |||||||||
0 | 0 | |||||||||
−3129.51 | − | 2273.72i | −0.764041 | − | 0.555108i | |||||
4477.03 | − | 3252.75i | 1.08665 | − | 0.789498i | 0.107820 | − | 0.994170i | ||
0.978831 | + | 0.204672i | ||||||||
0 | 0 | |||||||||
−2012.11 | + | 6192.62i | −0.482726 | + | 1.48568i | |||||
−500.668 | + | 363.756i | −0.119423 | + | 0.0867662i | |||||
0 | 0 | |||||||||
3.30022 | + | 10.1570i | 0.000778200 | + | 0.00239505i | |||||
−6186.25 | −1.45042 | −0.725210 | − | 0.688528i | ||||||
−0.725210 | + | 0.688528i | ||||||||
0 | 0 | |||||||||
2696.19 | 0.625003 | |||||||||
−148.780 | − | 457.896i | −0.0342942 | − | 0.105547i | |||||
0 | 0 | |||||||||
−985.035 | + | 715.670i | −0.224517 | + | 0.163121i | |||||
1464.92 | − | 4508.55i | 0.332036 | − | 1.02190i | −0.636128 | − | 0.771583i | ||
0.968164 | − | 0.250317i | ||||||||
0 | 0 | |||||||||
−4143.89 | + | 3010.71i | −0.928868 | + | 0.674862i | −0.945715 | − | 0.324996i | ||
0.0168471 | + | 0.999858i | ||||||||
4420.25 | + | 3211.50i | 0.985356 | + | 0.715903i | |||||
0 | 0 | |||||||||
182.299 | 0.0401936 | |||||||||
−2430.07 | − | 7616.94i | −0.532868 | − | 1.67025i | |||||
0 | 0 | |||||||||
341.958 | + | 1052.44i | 0.0741742 | + | 0.228285i | 0.981269 | − | 0.192641i | ||
−0.907095 | + | 0.420926i | ||||||||
−209.904 | − | 152.504i | −0.0452850 | − | 0.0329014i | |||||
0 | 0 | |||||||||
415.274 | − | 1278.08i | 0.0886335 | − | 0.272786i | |||||
2718.17 | − | 8365.66i | 0.577054 | − | 1.77599i | −0.0520205 | − | 0.998646i | ||
0.629075 | − | 0.777345i | ||||||||
0 | 0 | |||||||||
−166.756 | − | 121.155i | −0.0350269 | − | 0.0254485i | 0.570134 | − | 0.821552i | ||
−0.605161 | + | 0.796103i | ||||||||
−388.145 | − | 1194.59i | −0.0810991 | − | 0.249597i | |||||
0 | 0 | |||||||||
−32.3997 | − | 0.172763i | −0.00669871 | − | 3.57192e-5i | |||||
3082.49 | 0.633984 | |||||||||
0 | 0 | |||||||||
−2124.61 | − | 1543.62i | −0.432446 | − | 0.314191i | |||||
−829.767 | + | 602.861i | −0.168019 | + | 0.122073i | |||||
0 | 0 | |||||||||
1598.15 | − | 4918.61i | 0.320291 | − | 0.985754i | |||||
−6843.27 | + | 4971.93i | −1.36447 | + | 0.991342i | −0.366318 | + | 0.930490i | ||
−0.998147 | + | 0.0608524i | ||||||||
0 | 0 | |||||||||
1168.01 | + | 3594.75i | 0.230522 | + | 0.709473i | |||||
1026.28 | 0.201524 | |||||||||
0 | 0 | |||||||||
−457.753 | −0.0889829 | |||||||||
−192.202 | − | 591.537i | −0.0371750 | − | 0.114413i | |||||
0 | 0 | |||||||||
−3033.41 | + | 2203.90i | −0.580874 | + | 0.422030i | |||||
168.179 | − | 517.601i | 0.0320450 | − | 0.0986245i | |||||
0 | 0 | |||||||||
5398.43 | − | 3922.19i | 1.01849 | − | 0.739976i | |||||
−2743.54 | − | 1993.30i | −0.515064 | − | 0.374216i | |||||
0 | 0 | |||||||||
−847.003 | −0.157463 | −0.0787313 | − | 0.996896i | ||||||
−0.0787313 | + | 0.996896i | ||||||||
−5053.12 | + | 3630.30i | −0.934832 | + | 0.671609i | |||||
0 | 0 | |||||||||
−56.7539 | − | 174.671i | −0.0103981 | − | 0.0320020i | |||||
1728.52 | + | 1255.85i | 0.315163 | + | 0.228979i | 0.734109 | − | 0.679032i | ||
−0.418946 | + | 0.908011i | ||||||||
0 | 0 | |||||||||
1210.83 | − | 3726.56i | 0.218659 | − | 0.672964i | −0.780214 | − | 0.625512i | ||
0.998874 | − | 0.0474516i | ||||||||
152.873 | − | 470.494i | 0.0274749 | − | 0.0845589i | |||||
0 | 0 | |||||||||
6526.00 | + | 4741.41i | 1.16176 | + | 0.844068i | |||||
−2669.87 | − | 8217.02i | −0.473044 | − | 1.45588i | −0.848578 | − | 0.529071i | ||
0.375533 | − | 0.926809i | ||||||||
0 | 0 | |||||||||
9524.04 | + | 50.7846i | 1.67161 | + | 0.00891345i | |||||
9180.23 | 1.60372 | |||||||||
0 | 0 | |||||||||
544.805 | + | 395.824i | 0.0942882 | + | 0.0685044i | |||||
−7449.06 | + | 5412.06i | −1.28321 | + | 0.932306i | |||||
0 | 0 | |||||||||
283.983 | − | 874.010i | 0.0484694 | − | 0.149173i | |||||
−264.619 | + | 192.257i | −0.0449566 | + | 0.0326629i | |||||
0 | 0 | |||||||||
−150.134 | − | 462.066i | −0.0252737 | − | 0.0777845i | |||||
7964.74 | 1.33468 | |||||||||
0 | 0 | |||||||||
−3048.65 | −0.506250 | −0.253125 | − | 0.967434i | ||||||
−0.253125 | + | 0.967434i | ||||||||
749.860 | + | 2307.83i | 0.123958 | + | 0.381502i | |||||
0 | 0 | |||||||||
537.586 | − | 390.579i | 0.0880701 | − | 0.0639866i | |||||
877.408 | − | 2700.38i | 0.143098 | − | 0.440411i | |||||
0 | 0 | |||||||||
−6783.37 | + | 4928.41i | −1.09648 | + | 0.796639i | −0.980482 | − | 0.196610i | ||
−0.115998 | + | 0.993249i | ||||||||
373.409 | + | 271.297i | 0.0600910 | + | 0.0436587i | |||||
0 | 0 | |||||||||
−12814.0 | −2.04392 | |||||||||
−535.658 | + | 1619.16i | −0.0850660 | + | 0.257133i | |||||
0 | 0 | |||||||||
−1499.84 | − | 4616.02i | −0.236104 | − | 0.726652i | |||||
478.110 | + | 347.367i | 0.0749360 | + | 0.0544442i | |||||
0 | 0 | |||||||||
−195.065 | + | 600.348i | −0.0303085 | + | 0.0932800i | |||||
1998.22 | − | 6149.90i | 0.309136 | − | 0.951423i | −0.668965 | − | 0.743294i | ||
0.978101 | − | 0.208129i | ||||||||
0 | 0 | |||||||||
−3397.32 | − | 2468.30i | −0.521072 | − | 0.378581i | 0.295935 | − | 0.955208i | ||
−0.817008 | + | 0.576627i | ||||||||
307.468 | + | 946.291i | 0.0469568 | + | 0.144518i | |||||
0 | 0 | |||||||||
1186.56 | + | 871.789i | 0.179670 | + | 0.132007i | |||||
−6402.27 | −0.965322 | −0.482661 | − | 0.875807i | ||||||
−0.482661 | + | 0.875807i | ||||||||
0 | 0 | |||||||||
2369.70 | + | 1721.69i | 0.354284 | + | 0.257402i | |||||
8659.52 | − | 6291.51i | 1.28920 | − | 0.936656i | |||||
0 | 0 | |||||||||
84.5657 | − | 260.267i | 0.0124845 | − | 0.0384232i | |||||
−3771.89 | + | 2740.44i | −0.554520 | + | 0.402882i | −0.829449 | − | 0.558582i | ||
0.274929 | + | 0.961464i | ||||||||
0 | 0 | |||||||||
1355.39 | + | 4171.46i | 0.197607 | + | 0.608173i | |||||
245.014 | 0.0355736 | |||||||||
0 | 0 | |||||||||
−715.172 | −0.102981 | |||||||||
3726.86 | + | 11470.1i | 0.534447 | + | 1.64486i | |||||
0 | 0 | |||||||||
−444.555 | + | 322.988i | −0.0632305 | + | 0.0459397i | −0.618952 | − | 0.785429i | ||
0.555721 | + | 0.831369i | ||||||||
−2884.13 | + | 8876.43i | −0.408548 | + | 1.25738i | |||||
0 | 0 | |||||||||
−965.372 | + | 701.384i | −0.135641 | + | 0.0985492i | |||||
2520.73 | + | 1831.42i | 0.352749 | + | 0.256287i | |||||
0 | 0 | |||||||||
2727.49 | 0.378616 | 0.189308 | − | 0.981918i | ||||||
0.189308 | + | 0.981918i | ||||||||
−540.634 | − | 397.215i | −0.0747474 | − | 0.0549185i | |||||
0 | 0 | |||||||||
−387.927 | − | 1193.92i | −0.0532070 | − | 0.163754i | |||||
885.659 | + | 643.469i | 0.120991 | + | 0.0879054i | |||||
0 | 0 | |||||||||
−3040.92 | + | 9358.98i | −0.412141 | + | 1.26844i | 0.502643 | + | 0.864494i | ||
−0.914783 | + | 0.403945i | ||||||||
−4836.00 | + | 14883.7i | −0.652846 | + | 2.00925i | |||||
0 | 0 | |||||||||
−251.154 | − | 182.474i | −0.0336392 | − | 0.0244403i | |||||
3173.50 | + | 9767.01i | 0.423389 | + | 1.30306i | 0.904528 | + | 0.426413i | ||
−0.481139 | + | 0.876644i | ||||||||
0 | 0 | |||||||||
4557.21 | − | 13775.3i | 0.603265 | − | 1.82352i | |||||
−548.669 | −0.0723485 | |||||||||
0 | 0 | |||||||||
6675.71 | + | 4850.19i | 0.873474 | + | 0.634616i | |||||
−5019.79 | + | 3647.09i | −0.654276 | + | 0.475360i | −0.864725 | − | 0.502245i | ||
0.210449 | + | 0.977605i | ||||||||
0 | 0 | |||||||||
3979.69 | − | 12248.2i | 0.514735 | − | 1.58419i | |||||
318.755 | − | 231.589i | 0.0410703 | − | 0.0298393i | |||||
0 | 0 | |||||||||
185.277 | + | 570.223i | 0.0236906 | + | 0.0729123i | |||||
−18811.1 | −2.39618 | |||||||||
0 | 0 | |||||||||
14388.1 | 1.81894 | 0.909471 | − | 0.415767i | ||||||
0.909471 | + | 0.415767i | ||||||||
−276.209 | − | 850.083i | −0.0347867 | − | 0.107062i | |||||
0 | 0 | |||||||||
−11156.4 | + | 8105.61i | −1.39455 | + | 1.01320i | |||||
803.328 | − | 2472.39i | 0.100041 | − | 0.307893i | −0.888494 | − | 0.458888i | ||
0.988535 | + | 0.150995i | ||||||||
0 | 0 | |||||||||
−158.592 | + | 115.224i | −0.0196030 | + | 0.0142424i | |||||
4696.21 | + | 3412.00i | 0.578330 | + | 0.420181i | |||||
0 | 0 | |||||||||
−1185.27 | −0.144887 | |||||||||
11080.5 | + | 59.0840i | 1.34948 | + | 0.00719579i | |||||
0 | 0 | |||||||||
−1046.25 | − | 3220.02i | −0.126488 | − | 0.389290i | 0.867681 | − | 0.497121i | ||
−0.994169 | + | 0.107831i | ||||||||
457.012 | + | 332.039i | 0.0550493 | + | 0.0399957i | |||||
0 | 0 | |||||||||
416.463 | − | 1281.74i | 0.0498002 | − | 0.153269i | |||||
−1349.78 | + | 4154.20i | −0.160819 | + | 0.494951i | |||||
0 | 0 | |||||||||
−4578.05 | − | 3326.15i | −0.541512 | − | 0.393432i | |||||
52.2982 | + | 160.957i | 0.00616378 | + | 0.0189702i | |||||
0 | 0 | |||||||||
−665.410 | + | 478.048i | −0.0778618 | + | 0.0559380i | |||||
627.249 | 0.0731339 | 0.0365670 | − | 0.999331i | ||||||
0.0365670 | + | 0.999331i | ||||||||
0 | 0 | |||||||||
6662.59 | + | 4840.66i | 0.771294 | + | 0.560378i | 0.902354 | − | 0.430997i | ||
−0.131059 | + | 0.991375i | ||||||||
83.8336 | − | 60.9087i | 0.00967051 | − | 0.00702604i | |||||
0 | 0 | |||||||||
151.757 | − | 467.059i | 0.0173820 | − | 0.0534962i | |||||
15394.3 | − | 11184.6i | 1.75701 | − | 1.27655i | |||||
0 | 0 | |||||||||
−1211.03 | − | 3727.16i | −0.137250 | − | 0.422412i | |||||
9231.58 | 1.04258 | |||||||||
0 | 0 | |||||||||
−687.136 | −0.0770619 | |||||||||
−5310.74 | − | 16344.8i | −0.593525 | − | 1.82668i | −0.561933 | − | 0.827183i | ||
−0.0315922 | − | 0.999501i | ||||||||
0 | 0 | |||||||||
−8105.23 | + | 5888.80i | −0.899568 | + | 0.653574i | −0.938355 | − | 0.345673i | ||
0.0387874 | + | 0.999247i | ||||||||
65.5864 | − | 201.854i | 0.00725403 | − | 0.0223256i | |||||
0 | 0 | |||||||||
6203.75 | − | 4507.29i | 0.681436 | − | 0.495092i | |||||
−12724.6 | − | 9244.98i | −1.39291 | − | 1.01201i | |||||
0 | 0 | |||||||||
−13539.5 | −1.47199 | −0.735995 | − | 0.676987i | ||||||
−0.735995 | + | 0.676987i | ||||||||
−2286.88 | − | 12.1942i | −0.247779 | − | 0.00132122i | |||||
0 | 0 | |||||||||
−23.8288 | − | 73.3374i | −0.00256429 | − | 0.00789209i | |||||
−2196.39 | − | 1595.77i | −0.235561 | − | 0.171145i | 0.463742 | − | 0.885970i | ||
−0.699304 | + | 0.714825i | ||||||||
0 | 0 | |||||||||
−7713.36 | + | 23739.3i | −0.821682 | + | 2.52888i | |||||
−92.4309 | + | 284.473i | −0.00981330 | + | 0.0302022i | |||||
0 | 0 | |||||||||
8582.81 | + | 6235.78i | 0.905133 | + | 0.657618i | |||||
1659.48 | + | 5107.34i | 0.174422 | + | 0.536816i | 0.999607 | − | 0.0280473i | ||
−0.825185 | + | 0.564863i | ||||||||
0 | 0 | |||||||||
−1594.37 | − | 4997.48i | −0.166465 | − | 0.521778i | |||||
−4777.90 | −0.497198 | |||||||||
0 | 0 | |||||||||
388.300 | + | 282.117i | 0.0401406 | + | 0.0291639i | |||||
1349.25 | − | 980.289i | 0.139020 | − | 0.101004i | |||||
0 | 0 | |||||||||
−1616.02 | + | 4973.61i | −0.165415 | + | 0.509094i | −0.999067 | − | 0.0431964i | ||
0.833652 | + | 0.552290i | ||||||||
592.500 | − | 430.476i | 0.0604491 | − | 0.0439188i | |||||
0 | 0 | |||||||||
−6764.08 | − | 20817.7i | −0.685602 | − | 2.11007i | |||||
14846.7 | 1.49995 | 0.749976 | − | 0.661465i | ||||||
0.749976 | + | 0.661465i | ||||||||
0 | 0 | |||||||||
10918.5 | 1.09595 | 0.547977 | − | 0.836494i | ||||||
0.547977 | + | 0.836494i | ||||||||
−5076.31 | − | 15623.3i | −0.507892 | − | 1.56313i | |||||
0 | 0 | |||||||||
−561.598 | + | 408.025i | −0.0558273 | + | 0.0405609i | |||||
−2226.36 | + | 6852.03i | −0.220607 | + | 0.678960i | 0.778100 | + | 0.628140i | ||
−0.998708 | + | 0.0508198i | ||||||||
0 | 0 | |||||||||
2654.58 | − | 1928.66i | 0.261358 | − | 0.189888i | |||||
1180.86 | + | 857.944i | 0.115891 | + | 0.0842000i | |||||
0 | 0 | |||||||||
688.458 | 0.0671374 | |||||||||
5142.06 | + | 3777.98i | 0.499857 | + | 0.367255i | |||||
0 | 0 | |||||||||
−7181.32 | − | 22101.8i | −0.693687 | − | 2.13495i | |||||
−11980.1 | − | 8704.02i | −1.15358 | − | 0.838127i | |||||
0 | 0 | |||||||||
235.505 | − | 724.808i | 0.0225350 | − | 0.0693556i | |||||
2880.68 | − | 8865.82i | 0.274784 | − | 0.845699i | −0.714492 | − | 0.699643i | ||
0.989276 | − | 0.146055i | ||||||||
0 | 0 | |||||||||
1030.40 | + | 748.628i | 0.0976759 | + | 0.0709657i | |||||
258.288 | + | 794.930i | 0.0244081 | + | 0.0751205i | |||||
0 | 0 | |||||||||
8499.26 | + | 6314.65i | 0.798202 | + | 0.593036i | |||||
−19242.6 | −1.80157 | |||||||||
0 | 0 | |||||||||
7916.06 | + | 5751.36i | 0.736573 | + | 0.535152i | 0.891636 | − | 0.452753i | ||
−0.155063 | + | 0.987905i | ||||||||
−499.719 | + | 363.067i | −0.0463550 | + | 0.0336789i | |||||
0 | 0 | |||||||||
−141.564 | + | 435.690i | −0.0130515 | + | 0.0401683i | |||||
5451.28 | − | 3960.59i | 0.501045 | − | 0.364030i | −0.308371 | − | 0.951266i | ||
0.809416 | + | 0.587236i | ||||||||
0 | 0 | |||||||||
7004.58 | + | 21557.9i | 0.639900 | + | 1.96941i | |||||
−94.1759 | −0.00857728 | |||||||||
0 | 0 | |||||||||
2941.58 | 0.266292 | |||||||||
1046.01 | + | 3219.30i | 0.0944066 | + | 0.290554i | |||||
0 | 0 | |||||||||
14846.8 | − | 10786.9i | 1.33194 | − | 0.967708i | 0.332237 | − | 0.943196i | ||
0.999700 | − | 0.0245123i | ||||||||
4293.58 | − | 13214.3i | 0.384030 | − | 1.18192i | |||||
0 | 0 | |||||||||
672.410 | − | 488.535i | 0.0597832 | − | 0.0434350i | |||||
995.261 | + | 723.099i | 0.0882236 | + | 0.0640982i | 0.631023 | − | 0.775764i | ||
−0.542799 | + | 0.839863i | ||||||||
0 | 0 | |||||||||
−13536.8 | −1.19283 | |||||||||
359.937 | − | 1088.00i | 0.0316228 | − | 0.0955877i | |||||
0 | 0 | |||||||||
−4745.37 | − | 14604.7i | −0.414452 | − | 1.27555i | |||||
−895.023 | − | 650.272i | −0.0779395 | − | 0.0566263i | 0.548133 | − | 0.836391i | ||
−0.626073 | + | 0.779765i | ||||||||
0 | 0 | |||||||||
−4306.87 | + | 13255.2i | −0.372847 | + | 1.14750i | |||||
1310.41 | − | 4033.03i | 0.113110 | − | 0.348118i | |||||
0 | 0 | |||||||||
948.149 | + | 688.871i | 0.0813640 | + | 0.0591144i | |||||
971.184 | + | 2989.00i | 0.0830980 | + | 0.255749i | |||||
0 | 0 | |||||||||
−4119.64 | − | 12912.8i | −0.350448 | − | 1.09846i | |||||
−1378.97 | −0.116966 | |||||||||
0 | 0 | |||||||||
−212.662 | − | 154.508i | −0.0179343 | − | 0.0130300i | |||||
4770.34 | − | 3465.85i | 0.401137 | − | 0.291443i | −0.368867 | − | 0.929482i | ||
0.770004 | + | 0.638039i | ||||||||
0 | 0 | |||||||||
−231.034 | + | 711.048i | −0.0193162 | + | 0.0594493i | −0.960250 | − | 0.279141i | ||
0.940934 | + | 0.338591i | ||||||||
324.549 | − | 235.798i | 0.0270572 | − | 0.0196582i | |||||
0 | 0 | |||||||||
−404.853 | − | 1246.01i | −0.0335597 | − | 0.103286i | |||||
−4058.96 | −0.335505 | |||||||||
0 | 0 | |||||||||
9832.34 | 0.808116 | |||||||||
176.449 | + | 543.055i | 0.0144613 | + | 0.0445072i | |||||
0 | 0 | |||||||||
−14631.2 | + | 10630.2i | −1.19237 | + | 0.866310i | |||||
186.321 | − | 573.438i | 0.0151416 | − | 0.0466011i | |||||
0 | 0 | |||||||||
−17416.4 | + | 12653.8i | −1.40743 | + | 1.02256i | |||||
−418.400 | − | 303.985i | −0.0337166 | − | 0.0244966i | |||||
0 | 0 | |||||||||
1003.96 | 0.0804534 | |||||||||
3454.86 | − | 2482.07i | 0.276088 | − | 0.198349i | |||||
0 | 0 | |||||||||
−3280.34 | − | 10095.9i | −0.260690 | − | 0.802320i | −0.992655 | − | 0.120978i | ||
0.731966 | − | 0.681342i | ||||||||
−877.597 | − | 637.612i | −0.0695499 | − | 0.0505309i | |||||
0 | 0 | |||||||||
−1082.87 | + | 3332.74i | −0.0853453 | + | 0.262666i | |||||
−5525.92 | + | 17007.0i | −0.434320 | + | 1.33670i | |||||
0 | 0 | |||||||||
8538.55 | + | 6203.62i | 0.667426 | + | 0.484913i | 0.869162 | − | 0.494527i | ||
−0.201737 | + | 0.979440i | ||||||||
−2116.05 | − | 6512.55i | −0.164951 | − | 0.507668i | |||||
0 | 0 | |||||||||
1375.14 | − | 987.936i | 0.106611 | − | 0.0765923i | |||||
27683.5 | 2.14039 | |||||||||
0 | 0 | |||||||||
−17586.9 | − | 12777.7i | −1.35239 | − | 0.982570i | |||||
−189.598 | + | 137.751i | −0.0145402 | + | 0.0105641i | |||||
0 | 0 | |||||||||
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−9481.81 | + | 6888.94i | −0.721287 | + | 0.524046i | −0.886795 | − | 0.462162i | ||
0.165508 | + | 0.986208i | ||||||||
0 | 0 | |||||||||
226.639 | + | 697.524i | 0.0171482 | + | 0.0527766i | |||||
−25026.0 | −1.88847 | |||||||||
0 | 0 | |||||||||
1862.86 | 0.139822 | |||||||||
2079.55 | + | 6400.21i | 0.155671 | + | 0.479106i | 0.998228 | − | 0.0595008i | ||
−0.842557 | + | 0.538607i | ||||||||
0 | 0 | |||||||||
9014.04 | − | 6549.08i | 0.671192 | − | 0.487650i | |||||
13.4894 | − | 41.5162i | 0.00100177 | − | 0.00308314i | |||||
0 | 0 | |||||||||
431.627 | − | 313.595i | 0.0318850 | − | 0.0231658i | |||||
−1059.77 | − | 769.965i | −0.0780804 | − | 0.0567287i | 0.548060 | − | 0.836439i | ||
−0.626141 | + | 0.779710i | ||||||||
0 | 0 | |||||||||
−3206.49 | −0.235005 | −0.117502 | − | 0.993073i | ||||||
−0.117502 | + | 0.993073i | ||||||||
369.911 | + | 1159.47i | 0.0270398 | + | 0.0847551i | |||||
0 | 0 | |||||||||
201.730 | + | 620.861i | 0.0146691 | + | 0.0451468i | |||||
26296.7 | + | 19105.7i | 1.90722 | + | 1.38567i | |||||
0 | 0 | |||||||||
3560.42 | − | 10957.9i | 0.256884 | − | 0.790609i | −0.736568 | − | 0.676363i | ||
0.993453 | − | 0.114246i | ||||||||
171.866 | − | 528.950i | 0.0123680 | − | 0.0380647i | |||||
0 | 0 | |||||||||
31168.6 | + | 22645.3i | 2.23139 | + | 1.62120i | |||||
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0 | 0 | |||||||||
1665.38 | − | 5034.01i | 0.118307 | − | 0.357611i | |||||
2196.73 | 0.155653 | |||||||||
0 | 0 | |||||||||
−1449.28 | − | 1052.96i | −0.102166 | − | 0.0742276i | |||||
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0.521998 | + | 0.852947i | ||||||||
0 | 0 | |||||||||
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0 | 0 | |||||||||
−5905.90 | − | 18176.5i | −0.410019 | − | 1.26191i | |||||
11998.0 | 0.830861 | 0.415431 | − | 0.909625i | ||||||
0.415431 | + | 0.909625i | ||||||||
0 | 0 | |||||||||
34532.4 | 2.37931 | |||||||||
5313.43 | + | 16353.0i | 0.365179 | + | 1.12390i | |||||
0 | 0 | |||||||||
106.566 | − | 77.4250i | 0.00728733 | − | 0.00529455i | |||||
−6683.63 | + | 20570.1i | −0.455903 | + | 1.40312i | 0.414169 | + | 0.910200i | ||
−0.870072 | + | 0.492924i | ||||||||
0 | 0 | |||||||||
2703.52 | − | 1964.22i | 0.183492 | − | 0.133315i | −0.492247 | − | 0.870455i | ||
0.675739 | + | 0.737141i | ||||||||
−642.419 | − | 466.745i | −0.0434935 | − | 0.0315998i | |||||
0 | 0 | |||||||||
−20443.3 | −1.37719 | |||||||||
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0 | 0 | |||||||||
1078.41 | + | 3318.99i | 0.0721106 | + | 0.221934i | 0.980616 | − | 0.195940i | ||
−0.908505 | + | 0.417873i | ||||||||
3462.38 | + | 2515.56i | 0.230950 | + | 0.167795i | |||||
0 | 0 | |||||||||
221.934 | − | 683.041i | 0.0147309 | − | 0.0453370i | |||||
481.430 | − | 1481.69i | 0.0318765 | − | 0.0981059i | |||||
0 | 0 | |||||||||
2552.59 | + | 1854.56i | 0.168186 | + | 0.122194i | 0.668694 | − | 0.743537i | ||
−0.500508 | + | 0.865732i | ||||||||
−55.4312 | − | 170.600i | −0.00364336 | − | 0.0112131i | |||||
0 | 0 | |||||||||
−2129.78 | − | 1564.79i | −0.139304 | − | 0.102349i | |||||
204.683 | 0.0133553 | 0.00667767 | − | 0.999978i | ||||||
0.00667767 | + | 0.999978i | ||||||||
0 | 0 | |||||||||
−13999.8 | − | 10171.4i | −0.909044 | − | 0.660459i | 0.0317289 | − | 0.999497i | ||
−0.940773 | + | 0.339037i | ||||||||
−5581.26 | + | 4055.02i | −0.361530 | + | 0.262667i | |||||
0 | 0 | |||||||||
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0 | 0 | |||||||||
1547.45 | + | 4762.57i | 0.0990370 | + | 0.304805i | |||||
829.830 | 0.0529819 | |||||||||
0 | 0 | |||||||||
−18582.7 | −1.18078 | |||||||||
8149.31 | + | 25081.0i | 0.516588 | + | 1.58990i | |||||
0 | 0 | |||||||||
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0.522571 | + | 0.852596i | ||||||||
−1058.79 | + | 3258.63i | −0.0666401 | + | 0.205097i | |||||
0 | 0 | |||||||||
1480.31 | − | 1075.51i | 0.0927297 | − | 0.0673721i | |||||
28971.4 | + | 21049.0i | 1.81055 | + | 1.31544i | |||||
0 | 0 | |||||||||
488.969 | 0.0304139 | |||||||||
613.062 | + | 1921.62i | 0.0380429 | + | 0.119244i | |||||
0 | 0 | |||||||||
2451.68 | + | 7545.49i | 0.151424 | + | 0.466034i | |||||
−13255.1 | − | 9630.41i | −0.816764 | − | 0.593414i | 0.0990195 | − | 0.995085i | ||
−0.915784 | + | 0.401671i | ||||||||
0 | 0 | |||||||||
−3764.00 | + | 11584.4i | −0.230852 | + | 0.710489i | 0.766793 | + | 0.641895i | ||
−0.997645 | + | 0.0685945i | ||||||||
7816.77 | − | 24057.5i | 0.478298 | − | 1.47205i | |||||
0 | 0 | |||||||||
−1577.57 | − | 1146.17i | −0.0960815 | − | 0.0698073i | |||||
−2292.65 | − | 7056.06i | −0.139310 | − | 0.428751i | 0.856926 | − | 0.515440i | ||
−0.996235 | + | 0.0866885i | ||||||||
0 | 0 | |||||||||
7433.14 | + | 39.6354i | 0.449578 | + | 0.00239726i | |||||
194.624 | 0.0117443 | |||||||||
0 | 0 | |||||||||
9939.89 | + | 7221.75i | 0.597049 | + | 0.433782i | |||||
−9933.63 | + | 7217.21i | −0.595303 | + | 0.432513i | −0.844209 | − | 0.536015i | ||
0.248905 | + | 0.968528i | ||||||||
0 | 0 | |||||||||
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−7319.72 | + | 5318.09i | −0.435651 | + | 0.316519i | |||||
0 | 0 | |||||||||
521.244 | + | 1604.22i | 0.0308818 | + | 0.0950443i | |||||
17155.7 | 1.01410 | 0.507049 | − | 0.861917i | ||||||
0.507049 | + | 0.861917i | ||||||||
0 | 0 | |||||||||
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−0.205113 | + | 0.978738i | ||||||||
−199.515 | − | 614.045i | −0.0117136 | − | 0.0360507i | |||||
0 | 0 | |||||||||
−833.864 | + | 605.837i | −0.0487352 | + | 0.0354082i | |||||
13032.6 | − | 40110.1i | 0.759971 | − | 2.33895i | |||||
0 | 0 | |||||||||
−31325.7 | + | 22759.5i | −1.81850 | + | 1.32121i | |||||
−20193.4 | − | 14671.4i | −1.16962 | − | 0.849778i | |||||
0 | 0 | |||||||||
601.321 | 0.0346732 | |||||||||
−5416.27 | + | 3891.19i | −0.311614 | + | 0.223872i | |||||
0 | 0 | |||||||||
−8621.49 | − | 26534.2i | −0.493810 | − | 1.51979i | −0.818804 | − | 0.574074i | ||
0.324994 | − | 0.945716i | ||||||||
−1436.59 | − | 1043.74i | −0.0820999 | − | 0.0596491i | |||||
0 | 0 | |||||||||
5357.60 | − | 16489.0i | 0.304825 | − | 0.938155i | |||||
2336.86 | − | 7192.12i | 0.132663 | − | 0.408295i | −0.862556 | − | 0.505961i | ||
0.995219 | + | 0.0976664i | ||||||||
0 | 0 | |||||||||
−17990.4 | − | 13070.8i | −1.01680 | − | 0.738749i | |||||
−1681.92 | − | 5176.41i | −0.0948509 | − | 0.291921i | |||||
0 | 0 | |||||||||
−361.179 | − | 1.92590i | −0.0202790 | − | 0.000108133i | |||||
28882.3 | 1.61809 | 0.809043 | − | 0.587750i | ||||||
0.809043 | + | 0.587750i | ||||||||
0 | 0 | |||||||||
12918.9 | + | 9386.16i | 0.720595 | + | 0.523543i | |||||
831.584 | − | 604.181i | 0.0462829 | − | 0.0336265i | |||||
0 | 0 | |||||||||
3400.89 | − | 10466.8i | 0.188456 | − | 0.580007i | |||||
493.067 | − | 358.234i | 0.0272632 | − | 0.0198079i | |||||
0 | 0 | |||||||||
7893.89 | + | 24294.9i | 0.434584 | + | 1.33751i | 0.893512 | + | 0.449039i | ||
−0.458928 | + | 0.888474i | ||||||||
23711.4 | 1.30256 | |||||||||
0 | 0 | |||||||||
1369.46 | 0.0749047 | |||||||||
−7023.15 | − | 21615.0i | −0.383314 | − | 1.17972i | |||||
0 | 0 | |||||||||
10100.2 | − | 7338.21i | 0.548883 | − | 0.398787i | |||||
274.820 | − | 845.808i | 0.0149027 | − | 0.0458658i | |||||
0 | 0 | |||||||||
30236.9 | − | 21968.4i | 1.63264 | − | 1.18618i | |||||
−5340.41 | − | 3880.03i | −0.287738 | − | 0.209054i | 0.434547 | − | 0.900649i | ||
−0.722285 | + | 0.691595i | ||||||||
0 | 0 | |||||||||
32207.7 | 1.72793 | |||||||||
5670.41 | − | 17140.2i | 0.303568 | − | 0.917608i | |||||
0 | 0 | |||||||||
−418.990 | − | 1289.52i | −0.0223355 | − | 0.0687417i | |||||
−12655.8 | − | 9195.01i | −0.673228 | − | 0.489129i | |||||
0 | 0 | |||||||||
−5952.67 | + | 18320.4i | −0.315314 | + | 0.970436i | 0.660311 | + | 0.750992i | ||
−0.975625 | + | 0.219444i | ||||||||
−191.693 | + | 589.970i | −0.0101325 | + | 0.0311847i | |||||
0 | 0 | |||||||||
3678.18 | + | 2672.36i | 0.193604 | + | 0.140661i | |||||
−2142.60 | − | 6594.23i | −0.112540 | − | 0.346362i | |||||
0 | 0 | |||||||||
−2287.17 | − | 1680.43i | −0.119630 | − | 0.0878946i | |||||
−10279.5 | −0.536542 | |||||||||
0 | 0 | |||||||||
−798.814 | − | 580.372i | −0.0415202 | − | 0.0301662i | |||||
21731.1 | − | 15788.5i | 1.12717 | − | 0.818933i | 0.141885 | − | 0.989883i | ||
0.985280 | + | 0.170950i | ||||||||
0 | 0 | |||||||||
−1122.33 | + | 3454.17i | −0.0579718 | + | 0.178419i | |||||
−751.495 | + | 545.993i | −0.0387365 | + | 0.0281437i | |||||
0 | 0 | |||||||||
−2844.03 | − | 8753.02i | −0.145991 | − | 0.449314i | |||||
−57210.8 | −2.93070 | |||||||||
0 | 0 | |||||||||
−17670.1 | −0.901442 | −0.450721 | − | 0.892665i | ||||||
−0.450721 | + | 0.892665i | ||||||||
−93.8712 | − | 288.906i | −0.00477898 | − | 0.0147082i | |||||
0 | 0 | |||||||||
−2066.36 | + | 1501.30i | −0.104766 | + | 0.0761172i | |||||
−4692.74 | + | 14442.8i | −0.237438 | + | 0.730759i | |||||
0 | 0 | |||||||||
12711.4 | − | 9235.38i | 0.640528 | − | 0.465371i | −0.219504 | − | 0.975612i | ||
0.860031 | + | 0.510241i | ||||||||
−94.1484 | − | 68.4028i | −0.00473444 | − | 0.00343977i | |||||
0 | 0 | |||||||||
−5986.03 | −0.299794 | |||||||||
−4499.88 | − | 3306.15i | −0.224905 | − | 0.165243i | |||||
0 | 0 | |||||||||
5653.11 | + | 17398.5i | 0.281398 | + | 0.866053i | 0.987455 | + | 0.157899i | ||
−0.706058 | + | 0.708154i | ||||||||
36262.4 | + | 26346.1i | 1.80139 | + | 1.30879i | |||||
0 | 0 | |||||||||
−203.910 | + | 627.571i | −0.0100886 | + | 0.0310496i | |||||
−2963.38 | + | 9120.35i | −0.146320 | + | 0.450327i | −0.997178 | − | 0.0750681i | ||
0.850858 | + | 0.525395i | ||||||||
0 | 0 | |||||||||
−32439.6 | − | 23568.7i | −1.59529 | − | 1.15905i | |||||
178.497 | + | 549.359i | 0.00876040 | + | 0.0269617i | |||||
0 | 0 | |||||||||
−7914.88 | + | 23924.7i | −0.386894 | + | 1.16948i | |||||
−24878.2 | −1.21366 | |||||||||
0 | 0 | |||||||||
15875.4 | + | 11534.2i | 0.771375 | + | 0.560437i | 0.902378 | − | 0.430945i | ||
−0.131003 | + | 0.991382i | ||||||||
−18913.2 | + | 13741.2i | −0.917145 | + | 0.666345i | |||||
0 | 0 | |||||||||
−71.6438 | + | 220.497i | −0.00346036 | + | 0.0106499i | |||||
38568.5 | − | 28021.6i | 1.85914 | − | 1.35074i | |||||
0 | 0 | |||||||||
−6612.31 | − | 20350.6i | −0.317475 | − | 0.977088i | −0.974724 | − | 0.223414i | ||
0.657249 | − | 0.753674i | ||||||||
−2084.05 | −0.0998632 | |||||||||
0 | 0 | |||||||||
−6647.27 | −0.317266 | |||||||||
−5366.23 | − | 16515.6i | −0.255618 | − | 0.786713i | −0.993707 | − | 0.112009i | ||
0.738089 | − | 0.674704i | ||||||||
0 | 0 | |||||||||
−16718.5 | + | 12146.7i | −0.793252 | + | 0.576331i | |||||
−3603.52 | + | 11090.5i | −0.170642 | + | 0.525183i | |||||
0 | 0 | |||||||||
−1759.54 | + | 1278.38i | −0.0829960 | + | 0.0603001i | |||||
691.222 | + | 502.202i | 0.0325405 | + | 0.0236421i | |||||
0 | 0 | |||||||||
−7235.62 | −0.339302 | −0.169651 | − | 0.985504i | ||||||
−0.169651 | + | 0.985504i | ||||||||
3072.80 | + | 16.3850i | 0.143813 | + | 0.000766848i | |||||
0 | 0 | |||||||||
6368.75 | + | 19601.0i | 0.296912 | + | 0.913803i | |||||
−29115.2 | − | 21153.4i | −1.35472 | − | 0.984263i | −0.998761 | − | 0.0497615i | ||
−0.355960 | − | 0.934501i | ||||||||
0 | 0 | |||||||||
3165.74 | − | 9743.14i | 0.146731 | − | 0.451592i | |||||
−1083.08 | + | 3333.39i | −0.0501036 | + | 0.154203i | |||||
0 | 0 | |||||||||
−1063.10 | − | 772.385i | −0.0489895 | − | 0.0355930i | |||||
−4711.66 | − | 14501.0i | −0.216705 | − | 0.666948i | |||||
0 | 0 | |||||||||
4678.24 | − | 3360.98i | 0.214342 | − | 0.153989i | |||||
2727.43 | 0.124722 | |||||||||
0 | 0 | |||||||||
−5936.03 | − | 4312.78i | −0.270409 | − | 0.196464i | |||||
35058.3 | − | 25471.4i | 1.59399 | − | 1.15810i | |||||
0 | 0 | |||||||||
6781.01 | − | 20869.8i | 0.307137 | − | 0.945271i | −0.671734 | − | 0.740792i | ||
0.978871 | − | 0.204478i | ||||||||
18220.4 | − | 13237.9i | 0.823698 | − | 0.598452i | |||||
0 | 0 | |||||||||
−1231.07 | − | 3788.85i | −0.0554425 | − | 0.170635i | |||||
12876.0 | 0.578783 | |||||||||
0 | 0 | |||||||||
−766.568 | −0.0343274 | |||||||||
941.617 | + | 2898.00i | 0.0420865 | + | 0.129529i | |||||
0 | 0 | |||||||||
−27162.8 | + | 19734.9i | −1.20950 | + | 0.878750i | |||||
435.879 | − | 1341.50i | 0.0193722 | − | 0.0596214i | −0.940903 | − | 0.338676i | ||
0.960275 | + | 0.279054i | ||||||||
0 | 0 | |||||||||
26097.5 | − | 18961.0i | 1.15552 | − | 0.839537i | |||||
−7155.36 | − | 5198.67i | −0.316225 | − | 0.229751i | |||||
0 | 0 | |||||||||
550.551 | 0.0242402 | |||||||||
23717.6 | + | 126.468i | 1.04231 | + | 0.00555787i | |||||
0 | 0 | |||||||||
18228.5 | + | 56101.7i | 0.798102 | + | 2.45630i | |||||
−33.5868 | − | 24.4022i | −0.00146780 | − | 0.00106642i | |||||
0 | 0 | |||||||||
−761.925 | + | 2344.96i | −0.0331738 | + | 0.102098i | |||||
−4078.19 | + | 12551.4i | −0.177233 | + | 0.545467i | −0.999728 | − | 0.0233046i | ||
0.822495 | + | 0.568772i | ||||||||
0 | 0 | |||||||||
−24529.0 | − | 17821.4i | −1.06206 | − | 0.771631i | −0.0875906 | − | 0.996157i | ||
−0.974468 | + | 0.224526i | ||||||||
13758.2 | + | 42343.3i | 0.594602 | + | 1.83000i | |||||
0 | 0 | |||||||||
713.252 | + | 2235.66i | 0.0307119 | + | 0.0962650i | |||||
−28651.6 | −1.23144 | |||||||||
0 | 0 | |||||||||
15004.5 | + | 10901.4i | 0.642524 | + | 0.466821i | |||||
580.092 | − | 421.461i | 0.0247951 | − | 0.0180147i | |||||
0 | 0 | |||||||||
6557.13 | − | 20180.8i | 0.279250 | − | 0.859443i | |||||
−18468.6 | + | 13418.3i | −0.785092 | + | 0.570403i | −0.906503 | − | 0.422200i | ||
0.121411 | + | 0.992602i | ||||||||
0 | 0 | |||||||||
2612.94 | + | 8041.79i | 0.110670 | + | 0.340607i | 0.991019 | − | 0.133719i | ||
−0.880349 | + | 0.474326i | ||||||||
572.445 | 0.0242015 | |||||||||
0 | 0 | |||||||||
−925.056 | −0.0389671 | |||||||||
−6279.59 | − | 19326.6i | −0.264042 | − | 0.812637i | −0.991913 | − | 0.126923i | ||
0.727871 | − | 0.685714i | ||||||||
0 | 0 | |||||||||
28127.5 | − | 20435.8i | 1.17842 | − | 0.856171i | 0.186426 | − | 0.982469i | ||
0.991992 | + | 0.126298i | ||||||||
370.333 | − | 1139.77i | 0.0154873 | − | 0.0476649i | |||||
0 | 0 | |||||||||
1678.84 | − | 1219.75i | 0.0699557 | − | 0.0508258i | |||||
8190.87 | + | 5951.02i | 0.340693 | + | 0.247528i | |||||
0 | 0 | |||||||||
58207.2 | 2.41239 | |||||||||
24801.9 | + | 18222.5i | 1.02607 | + | 0.753873i | |||||
0 | 0 | |||||||||
41.0496 | + | 126.338i | 0.00169217 | + | 0.00520795i | |||||
−20046.1 | − | 14564.3i | −0.824872 | − | 0.599305i | 0.0932319 | − | 0.995644i | ||
−0.918104 | + | 0.396340i | ||||||||
0 | 0 | |||||||||
13523.4 | − | 41620.8i | 0.554489 | − | 1.70654i | |||||
−538.958 | + | 1658.74i | −0.0220590 | + | 0.0678908i | |||||
0 | 0 | |||||||||
−3149.05 | − | 2287.92i | −0.128430 | − | 0.0933097i | |||||
12493.8 | + | 38452.1i | 0.508640 | + | 1.56543i | |||||
0 | 0 | |||||||||
−22904.7 | − | 17017.4i | −0.929179 | − | 0.690346i | |||||
−9145.44 | −0.370349 | |||||||||
0 | 0 | |||||||||
3260.21 | + | 2368.68i | 0.131558 | + | 0.0955825i | |||||
−36445.1 | + | 26478.9i | −1.46806 | + | 1.06661i | |||||
0 | 0 | |||||||||
−4036.24 | + | 12422.3i | −0.162014 | + | 0.498628i | −0.998804 | − | 0.0488960i | ||
0.836790 | + | 0.547524i | ||||||||
671.455 | − | 487.840i | 0.0269048 | − | 0.0195475i | |||||
0 | 0 | |||||||||
1211.71 | + | 3729.25i | 0.0483824 | + | 0.148906i | |||||
40272.1 | 1.60521 | 0.802607 | − | 0.596508i | ||||||
0.802607 | + | 0.596508i | ||||||||
0 | 0 | |||||||||
−44537.4 | −1.76903 | −0.884515 | − | 0.466512i | ||||||
−0.884515 | + | 0.466512i | ||||||||
7976.02 | + | 24547.7i | 0.316256 | + | 0.973335i | |||||
0 | 0 | |||||||||
2944.54 | − | 2139.33i | 0.116347 | − | 0.0845313i | |||||
−4560.22 | + | 14034.9i | −0.179874 | + | 0.553597i | −0.999822 | − | 0.0188413i | ||
0.819948 | + | 0.572438i | ||||||||
0 | 0 | |||||||||
−44734.3 | + | 32501.4i | −1.75839 | + | 1.27755i | |||||
−1716.53 | − | 1247.14i | −0.0673559 | − | 0.0489369i | |||||
0 | 0 | |||||||||
−7972.47 | −0.311755 | |||||||||
−11619.2 | + | 35121.8i | −0.453572 | + | 1.37103i | |||||
0 | 0 | |||||||||
−198.335 | − | 610.412i | −0.00771563 | − | 0.0237463i | |||||
2635.08 | + | 1914.50i | 0.102334 | + | 0.0743499i | |||||
0 | 0 | |||||||||
1029.33 | − | 3167.97i | 0.0398373 | − | 0.122606i | |||||
−11570.8 | + | 35611.2i | −0.447045 | + | 1.37586i | |||||
0 | 0 | |||||||||
−11771.8 | − | 8552.74i | −0.453258 | − | 0.329311i | 0.337623 | − | 0.941281i | ||
−0.790881 | + | 0.611971i | ||||||||
−886.076 | − | 2727.06i | −0.0340588 | − | 0.104822i | |||||
0 | 0 | |||||||||
12944.3 | + | 40573.4i | 0.495856 | + | 1.55424i | |||||
−13139.5 | −0.502476 | −0.251238 | − | 0.967925i | ||||||
−0.251238 | + | 0.967925i | ||||||||
0 | 0 | |||||||||
−25815.2 | − | 18755.8i | −0.983861 | − | 0.714817i | −0.0252930 | − | 0.999680i | ||
−0.958568 | + | 0.284863i | ||||||||
−2343.35 | + | 1702.55i | −0.0891578 | + | 0.0647770i | |||||
0 | 0 | |||||||||
177.673 | − | 546.821i | 0.00673707 | − | 0.0207346i | |||||
6871.20 | − | 4992.22i | 0.260104 | − | 0.188977i | −0.450089 | − | 0.892984i | ||
0.710193 | + | 0.704007i | ||||||||
0 | 0 | |||||||||
12788.3 | + | 39358.4i | 0.482459 | + | 1.48486i | |||||
−5286.26 | −0.199096 | |||||||||
0 | 0 | |||||||||
11235.6 | 0.421744 | |||||||||
−12174.3 | − | 37468.7i | −0.456213 | − | 1.40408i | |||||
0 | 0 | |||||||||
19393.5 | − | 14090.2i | 0.724305 | − | 0.526238i | |||||
−2833.23 | + | 8719.78i | −0.105638 | + | 0.325120i | |||||
0 | 0 | |||||||||
−920.096 | + | 668.489i | −0.0341916 | + | 0.0248416i | |||||
9873.00 | + | 7173.15i | 0.366277 | + | 0.266116i | |||||
0 | 0 | |||||||||
12619.4 | 0.466608 | |||||||||
902.228 | − | 648.185i | 0.0333048 | − | 0.0239271i | |||||
0 | 0 | |||||||||
−627.132 | − | 1930.11i | −0.0230731 | − | 0.0710117i | |||||
17363.4 | + | 12615.2i | 0.637766 | + | 0.463364i | |||||
0 | 0 | |||||||||
4266.48 | − | 13130.9i | 0.156192 | − | 0.480710i | −0.842088 | − | 0.539341i | ||
0.998280 | + | 0.0586309i | ||||||||
5571.26 | − | 17146.6i | 0.203622 | − | 0.626684i | |||||
0 | 0 | |||||||||
285.746 | + | 207.607i | 0.0104092 | + | 0.00756274i | |||||
6457.15 | + | 19873.1i | 0.234835 | + | 0.722748i | 0.997143 | + | 0.0755340i | ||
−0.762308 | + | 0.647214i | ||||||||
0 | 0 | |||||||||
−9037.94 | + | 6493.10i | −0.327615 | + | 0.235367i | |||||
−1107.52 | −0.0400805 | |||||||||
0 | 0 | |||||||||
−22256.1 | − | 16170.0i | −0.802798 | − | 0.583267i | |||||
−874.628 | + | 635.454i | −0.0314970 | + | 0.0228839i | |||||
0 | 0 | |||||||||
−3616.18 | + | 11129.4i | −0.129800 | + | 0.399485i | −0.994745 | − | 0.102383i | ||
0.864945 | + | 0.501867i | ||||||||
7521.83 | − | 5464.93i | 0.269552 | − | 0.195841i | |||||
0 | 0 | |||||||||
971.624 | + | 2990.35i | 0.0347058 | + | 0.106813i | |||||
662.115 | 0.0236119 | |||||||||
0 | 0 | |||||||||
−66560.5 | −2.36594 | |||||||||
714.550 | + | 2199.16i | 0.0253581 | + | 0.0780441i | |||||
0 | 0 | |||||||||
8523.74 | − | 6192.86i | 0.301515 | − | 0.219063i | |||||
−9323.94 | + | 28696.1i | −0.329288 | + | 1.01344i | 0.640180 | + | 0.768225i | ||
−0.969468 | + | 0.245219i | ||||||||
0 | 0 | |||||||||
10003.5 | − | 7267.95i | 0.352149 | − | 0.255851i | |||||
21095.4 | + | 15326.7i | 0.741418 | + | 0.538671i | |||||
0 | 0 | |||||||||
−1525.81 | −0.0534539 | |||||||||
−17861.3 | − | 55985.5i | −0.624736 | − | 1.95821i | |||||
0 | 0 | |||||||||
16674.1 | + | 51317.7i | 0.581345 | + | 1.78919i | 0.613479 | + | 0.789711i | ||
−0.0321342 | + | 0.999484i | ||||||||
562.189 | + | 408.454i | 0.0195694 | + | 0.0142180i | |||||
0 | 0 | |||||||||
16942.8 | − | 52144.4i | 0.587885 | − | 1.80932i | |||||
2538.21 | − | 7811.81i | 0.0879313 | − | 0.270625i | −0.897416 | − | 0.441186i | ||
0.985347 | + | 0.170561i | ||||||||
0 | 0 | |||||||||
17253.3 | + | 12535.3i | 0.595806 | + | 0.432878i | |||||
−3961.86 | − | 12193.3i | −0.136597 | − | 0.420402i | |||||
0 | 0 | |||||||||
−424.428 | + | 1282.94i | −0.0145870 | + | 0.0440929i | |||||
16429.1 | 0.563752 | 0.281876 | − | 0.959451i | ||||||
0.281876 | + | 0.959451i | ||||||||
0 | 0 | |||||||||
2205.55 | + | 1602.42i | 0.0754426 | + | 0.0548123i | |||||
3981.68 | − | 2892.86i | 0.135982 | − | 0.0987966i | |||||
0 | 0 | |||||||||
1943.67 | − | 5982.01i | 0.0661710 | − | 0.203654i | |||||
9432.80 | − | 6853.33i | 0.320628 | − | 0.232950i | −0.415816 | − | 0.909449i | ||
0.736443 | + | 0.676499i | ||||||||
0 | 0 | |||||||||
−8403.34 | − | 25862.8i | −0.284739 | − | 0.876336i | |||||
−28627.2 | −0.968482 | |||||||||
0 | 0 | |||||||||
1974.24 | 0.0665812 | |||||||||
5702.56 | + | 17550.7i | 0.192018 | + | 0.590971i | |||||
0 | 0 | |||||||||
22333.5 | − | 16226.2i | 0.749673 | − | 0.544669i | |||||
−83.3521 | + | 256.531i | −0.00279353 | + | 0.00859762i | |||||
0 | 0 | |||||||||
25400.4 | − | 18454.5i | 0.848644 | − | 0.616576i | |||||
−38882.5 | − | 28249.8i | −1.29707 | − | 0.942377i | |||||
0 | 0 | |||||||||
15270.1 | 0.507809 | 0.253905 | − | 0.967229i | ||||||
0.253905 | + | 0.967229i | ||||||||
−1435.32 | + | 4262.26i | −0.0476581 | + | 0.141523i | |||||
0 | 0 | |||||||||
−1259.31 | − | 3875.77i | −0.0416847 | − | 0.128292i | |||||
24556.6 | + | 17841.4i | 0.811594 | + | 0.589658i | 0.914292 | − | 0.405055i | ||
−0.102698 | + | 0.994713i | ||||||||
0 | 0 | |||||||||
8116.16 | − | 24979.0i | 0.267412 | − | 0.823010i | |||||
−640.355 | + | 1970.81i | −0.0210660 | + | 0.0648346i | |||||
0 | 0 | |||||||||
9306.05 | + | 6761.24i | 0.305204 | + | 0.221744i | |||||
−16241.9 | − | 49987.4i | −0.531857 | − | 1.63689i | −0.750344 | − | 0.661047i | ||
0.218488 | − | 0.975840i | ||||||||
0 | 0 | |||||||||
39558.8 | + | 29064.7i | 1.29142 | + | 0.948836i | |||||
17208.1 | 0.560910 | |||||||||
0 | 0 | |||||||||
1154.48 | + | 838.778i | 0.0375162 | + | 0.0272571i | |||||
27337.5 | − | 19861.9i | 0.887012 | − | 0.644452i | −0.0480855 | − | 0.998843i | ||
0.935097 | + | 0.354392i | ||||||||
0 | 0 | |||||||||
−16229.6 | + | 49949.5i | −0.524992 | + | 1.61576i | |||||
−3883.69 | + | 2821.67i | −0.125438 | + | 0.0911361i | |||||
0 | 0 | |||||||||
1093.16 | + | 3364.40i | 0.0352004 | + | 0.108336i | |||||
−25941.0 | −0.834051 | |||||||||
0 | 0 | |||||||||
5221.81 | 0.167383 | 0.0836914 | − | 0.996492i | ||||||
0.0836914 | + | 0.996492i | ||||||||
583.001 | + | 1794.29i | 0.0186596 | + | 0.0574283i | |||||
0 | 0 | |||||||||
−579.962 | + | 421.367i | −0.0185063 | + | 0.0134456i | |||||
24194.9 | − | 74464.2i | 0.770884 | − | 2.37254i | |||||
0 | 0 | |||||||||
−11623.6 | + | 8445.03i | −0.369230 | + | 0.268262i | −0.756892 | − | 0.653540i | ||
0.387661 | + | 0.921802i | ||||||||
3144.28 | + | 2284.45i | 0.0997299 | + | 0.0724580i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 99.4.f.e.82.4 | yes | 24 | |
3.2 | odd | 2 | inner | 99.4.f.e.82.3 | yes | 24 | |
11.3 | even | 5 | 1089.4.a.bm.1.7 | 12 | |||
11.8 | odd | 10 | 1089.4.a.bl.1.6 | 12 | |||
11.9 | even | 5 | inner | 99.4.f.e.64.4 | yes | 24 | |
33.8 | even | 10 | 1089.4.a.bl.1.7 | 12 | |||
33.14 | odd | 10 | 1089.4.a.bm.1.6 | 12 | |||
33.20 | odd | 10 | inner | 99.4.f.e.64.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.4.f.e.64.3 | ✓ | 24 | 33.20 | odd | 10 | inner | |
99.4.f.e.64.4 | yes | 24 | 11.9 | even | 5 | inner | |
99.4.f.e.82.3 | yes | 24 | 3.2 | odd | 2 | inner | |
99.4.f.e.82.4 | yes | 24 | 1.1 | even | 1 | trivial | |
1089.4.a.bl.1.6 | 12 | 11.8 | odd | 10 | |||
1089.4.a.bl.1.7 | 12 | 33.8 | even | 10 | |||
1089.4.a.bm.1.6 | 12 | 33.14 | odd | 10 | |||
1089.4.a.bm.1.7 | 12 | 11.3 | even | 5 |