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 | 91.4 | ||
Character | 99.91 | ||
Dual form | 99.4.f.e.37.4 |
-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 .
1.39917 | − | 1.01656i | 0.494681 | − | 0.359407i | −0.312301 | − | 0.949983i | ||
0.806982 | + | 0.590577i | ||||||||
0 | 0 | |||||||||
−1.54785 | + | 4.76378i | −0.193481 | + | 0.595473i | |||||
3.78707 | + | 2.75147i | 0.338726 | + | 0.246099i | 0.744124 | − | 0.668041i | ||
−0.405398 | + | 0.914140i | ||||||||
0 | 0 | |||||||||
−2.91496 | + | 8.97133i | −0.157393 | + | 0.484406i | −0.998396 | − | 0.0566252i | ||
0.841002 | + | 0.541031i | ||||||||
6.95243 | + | 21.3974i | 0.307257 | + | 0.945640i | |||||
0 | 0 | |||||||||
8.09578 | 0.256011 | |||||||||
20.8997 | + | 29.9032i | 0.572862 | + | 0.819652i | |||||
0 | 0 | |||||||||
−4.36138 | + | 3.16873i | −0.0930483 | + | 0.0676036i | −0.633337 | − | 0.773876i | ||
0.540288 | + | 0.841480i | ||||||||
5.04133 | + | 15.5156i | 0.0962395 | + | 0.296195i | |||||
0 | 0 | |||||||||
−0.939252 | − | 0.682406i | −0.0146758 | − | 0.0106626i | |||||
68.6535 | + | 49.8797i | 0.979466 | + | 0.711623i | 0.957589 | − | 0.288137i | ||
0.0218765 | + | 0.999761i | ||||||||
0 | 0 | |||||||||
−15.7316 | − | 48.4167i | −0.189951 | − | 0.584608i | 0.810048 | − | 0.586364i | ||
−0.999998 | + | 0.00175558i | ||||||||
−18.9692 | + | 13.7819i | −0.212082 | + | 0.154087i | |||||
0 | 0 | |||||||||
59.6405 | + | 20.5940i | 0.577973 | + | 0.199576i | |||||
52.9969 | 0.480462 | 0.240231 | − | 0.970716i | ||||||
0.240231 | + | 0.970716i | ||||||||
0 | 0 | |||||||||
−31.8558 | − | 98.0420i | −0.254846 | − | 0.784336i | |||||
−2.88112 | + | 8.86717i | −0.0217321 | + | 0.0668844i | |||||
0 | 0 | |||||||||
−38.2256 | − | 27.7725i | −0.257998 | − | 0.187447i | |||||
35.2655 | − | 108.536i | 0.225815 | − | 0.694988i | −0.772393 | − | 0.635145i | ||
0.998208 | − | 0.0598424i | ||||||||
0 | 0 | |||||||||
−67.7468 | + | 49.2209i | −0.392506 | + | 0.285172i | −0.766482 | − | 0.642266i | ||
0.373976 | + | 0.927439i | ||||||||
−181.996 | −1.00540 | |||||||||
0 | 0 | |||||||||
146.763 | 0.740285 | |||||||||
−35.7235 | + | 25.9547i | −0.172525 | + | 0.125347i | |||||
0 | 0 | |||||||||
−47.0244 | + | 144.726i | −0.208939 | + | 0.643049i | 0.790589 | + | 0.612347i | ||
−0.999529 | + | 0.0307025i | ||||||||
−71.2294 | − | 51.7512i | −0.304077 | − | 0.220925i | |||||
0 | 0 | |||||||||
−32.5449 | + | 100.163i | −0.128645 | + | 0.395929i | |||||
−56.9163 | − | 175.170i | −0.216801 | − | 0.667244i | −0.999021 | − | 0.0442420i | ||
0.782220 | − | 0.623002i | ||||||||
0 | 0 | |||||||||
−46.4843 | −0.164856 | −0.0824278 | − | 0.996597i | ||||||
−0.0824278 | + | 0.996597i | ||||||||
−174.802 | + | 53.2758i | −0.598918 | + | 0.182537i | |||||
0 | 0 | |||||||||
74.1517 | − | 53.8744i | 0.237675 | − | 0.172681i | |||||
−120.309 | − | 370.274i | −0.373381 | − | 1.14915i | −0.944564 | − | 0.328326i | ||
0.571183 | − | 0.820823i | ||||||||
0 | 0 | |||||||||
205.505 | + | 149.308i | 0.599140 | + | 0.435301i | |||||
−144.237 | − | 104.794i | −0.407963 | − | 0.296403i | |||||
0 | 0 | |||||||||
−8.34438 | − | 25.6814i | −0.0222530 | − | 0.0684878i | |||||
462.541 | − | 336.055i | 1.19877 | − | 0.870958i | 0.204607 | − | 0.978844i | ||
0.994163 | + | 0.107887i | ||||||||
0 | 0 | |||||||||
−3.12935 | + | 170.751i | −0.00767204 | + | 0.418618i | |||||
−212.229 | −0.506434 | |||||||||
0 | 0 | |||||||||
−60.9906 | − | 187.710i | −0.138077 | − | 0.424957i | |||||
−24.4445 | + | 75.2324i | −0.0539390 | + | 0.166007i | −0.974397 | − | 0.224834i | ||
0.920458 | + | 0.390841i | ||||||||
0 | 0 | |||||||||
−584.546 | − | 424.697i | −1.22694 | − | 0.891425i | −0.230284 | − | 0.973123i | ||
−0.996657 | + | 0.0816982i | ||||||||
−44.7534 | + | 137.737i | −0.0916724 | + | 0.282139i | |||||
0 | 0 | |||||||||
−247.130 | + | 179.550i | −0.482675 | + | 0.350684i | |||||
−25.2355 | −0.0481551 | |||||||||
0 | 0 | |||||||||
608.961 | 1.11039 | 0.555197 | − | 0.831719i | ||||||
0.555197 | + | 0.831719i | ||||||||
−343.881 | + | 249.844i | −0.613260 | + | 0.445560i | |||||
0 | 0 | |||||||||
−23.5989 | + | 72.6299i | −0.0402944 | + | 0.124013i | |||||
740.521 | + | 538.020i | 1.23780 | + | 0.899313i | 0.997450 | − | 0.0713741i | ||
0.240348 | + | 0.970687i | ||||||||
0 | 0 | |||||||||
186.265 | − | 573.266i | 0.298640 | − | 0.919119i | −0.683335 | − | 0.730105i | ||
0.981975 | − | 0.189013i | ||||||||
81.3272 | + | 250.299i | 0.127758 | + | 0.393199i | |||||
0 | 0 | |||||||||
254.997 | 0.384870 | |||||||||
−329.194 | + | 100.331i | −0.487209 | + | 0.148490i | |||||
0 | 0 | |||||||||
298.418 | − | 216.813i | 0.424996 | − | 0.308777i | −0.354649 | − | 0.935000i | ||
0.779645 | + | 0.626222i | ||||||||
−1.67939 | − | 5.16865i | −0.00234703 | − | 0.00722340i | |||||
0 | 0 | |||||||||
−257.706 | − | 187.234i | −0.347059 | − | 0.252153i | |||||
797.245 | + | 579.233i | 1.05433 | + | 0.766012i | 0.973030 | − | 0.230678i | ||
0.0812954 | + | 0.996690i | ||||||||
0 | 0 | |||||||||
122.753 | + | 377.796i | 0.156641 | + | 0.482091i | |||||
−65.0394 | + | 47.2539i | −0.0815510 | + | 0.0592502i | |||||
0 | 0 | |||||||||
−494.548 | + | 655.099i | −0.599080 | + | 0.793565i | |||||
1156.34 | 1.37721 | 0.688605 | − | 0.725137i | ||||||
0.688605 | + | 0.725137i | ||||||||
0 | 0 | |||||||||
−15.7144 | − | 48.3641i | −0.0181024 | − | 0.0557135i | |||||
−82.0312 | + | 252.466i | −0.0929602 | + | 0.286102i | |||||
0 | 0 | |||||||||
−544.737 | − | 395.775i | −0.597717 | − | 0.434266i | |||||
73.6406 | − | 226.643i | 0.0795302 | − | 0.244769i | |||||
0 | 0 | |||||||||
−478.658 | + | 347.765i | −0.501035 | + | 0.364023i | −0.809412 | − | 0.587241i | ||
0.308377 | + | 0.951264i | ||||||||
439.317 | 0.452833 | |||||||||
0 | 0 | |||||||||
516.359 | 0.516359 | |||||||||
−662.096 | + | 481.041i | −0.652287 | + | 0.473915i | −0.864050 | − | 0.503407i | ||
0.211762 | + | 0.977321i | ||||||||
0 | 0 | |||||||||
−463.889 | + | 1427.70i | −0.443770 | + | 1.36578i | 0.440057 | + | 0.897970i | ||
−0.883827 | + | 0.467814i | ||||||||
−98.1246 | − | 71.2917i | −0.0925184 | − | 0.0672185i | |||||
0 | 0 | |||||||||
305.553 | − | 940.397i | 0.279981 | − | 0.861692i | |||||
204.593 | + | 629.673i | 0.184848 | + | 0.568904i | 0.999946 | − | 0.0104195i | ||
−0.815097 | + | 0.579324i | ||||||||
0 | 0 | |||||||||
1666.14 | 1.46411 | 0.732053 | − | 0.681247i | ||||||
0.732053 | + | 0.681247i | ||||||||
169.199 | + | 242.090i | 0.146659 | + | 0.209840i | |||||
0 | 0 | |||||||||
8.85998 | − | 6.43715i | 0.00747490 | − | 0.00543083i | |||||
−440.511 | − | 1355.75i | −0.366723 | − | 1.12866i | −0.948895 | − | 0.315593i | ||
0.582171 | − | 0.813066i | ||||||||
0 | 0 | |||||||||
200.703 | + | 145.819i | 0.162745 | + | 0.118241i | |||||
462.457 | + | 335.995i | 0.370156 | + | 0.268934i | |||||
0 | 0 | |||||||||
42.2760 | + | 130.112i | 0.0329815 | + | 0.101507i | |||||
−647.609 | + | 470.516i | −0.498876 | + | 0.362455i | |||||
0 | 0 | |||||||||
−457.409 | + | 1249.94i | −0.343658 | + | 0.939095i | |||||
−1249.61 | −0.927329 | |||||||||
0 | 0 | |||||||||
−129.616 | − | 398.918i | −0.0938700 | − | 0.288902i | |||||
329.936 | − | 1015.44i | 0.236083 | − | 0.726589i | |||||
0 | 0 | |||||||||
−1998.96 | − | 1452.33i | −1.39668 | − | 1.01475i | −0.995095 | − | 0.0989279i | ||
−0.401587 | − | 0.915821i | ||||||||
286.666 | − | 882.268i | 0.197953 | − | 0.609236i | |||||
0 | 0 | |||||||||
−35.3087 | + | 25.6533i | −0.0238214 | + | 0.0173073i | |||||
−1695.42 | −1.13076 | −0.565380 | − | 0.824831i | ||||||
−0.565380 | + | 0.824831i | ||||||||
0 | 0 | |||||||||
480.219 | 0.313085 | |||||||||
852.040 | − | 619.043i | 0.549291 | − | 0.399083i | |||||
0 | 0 | |||||||||
−589.986 | + | 1815.79i | −0.371992 | + | 1.14487i | |||||
−1029.78 | − | 748.176i | −0.642187 | − | 0.466576i | 0.218414 | − | 0.975856i | ||
−0.860601 | + | 0.509280i | ||||||||
0 | 0 | |||||||||
999.189 | − | 3075.19i | 0.609713 | − | 1.87650i | 0.149319 | − | 0.988789i | ||
0.460394 | − | 0.887715i | ||||||||
−68.3478 | − | 210.353i | −0.0412603 | − | 0.126986i | |||||
0 | 0 | |||||||||
1583.04 | 0.935534 | |||||||||
−185.906 | − | 64.1940i | −0.108715 | − | 0.0375397i | |||||
0 | 0 | |||||||||
432.187 | − | 314.002i | 0.247525 | − | 0.179838i | |||||
−322.140 | − | 991.445i | −0.182606 | − | 0.562004i | |||||
0 | 0 | |||||||||
−616.657 | − | 448.028i | −0.342493 | − | 0.248836i | |||||
−1327.84 | − | 964.731i | −0.730072 | − | 0.530428i | 0.159514 | − | 0.987196i | ||
−0.889586 | + | 0.456767i | ||||||||
0 | 0 | |||||||||
−20.2191 | − | 62.2281i | −0.0108967 | − | 0.0335367i | 0.945460 | − | 0.325737i | ||
−0.956357 | + | 0.292201i | ||||||||
926.619 | − | 673.228i | 0.494465 | − | 0.359250i | |||||
0 | 0 | |||||||||
−358.606 | + | 475.024i | −0.187645 | + | 0.248562i | |||||
−391.992 | −0.203133 | |||||||||
0 | 0 | |||||||||
−429.420 | − | 1321.62i | −0.218290 | − | 0.671826i | −0.998904 | − | 0.0468130i | ||
0.780614 | − | 0.625013i | ||||||||
197.134 | − | 606.718i | 0.0992606 | − | 0.305493i | |||||
0 | 0 | |||||||||
−689.233 | − | 500.757i | −0.340554 | − | 0.247427i | |||||
−154.484 | + | 475.453i | −0.0756214 | + | 0.232739i | |||||
0 | 0 | |||||||||
−2018.89 | + | 1466.81i | −0.970134 | + | 0.704844i | −0.955482 | − | 0.295049i | ||
−0.0146519 | + | 0.999893i | ||||||||
922.571 | 0.439273 | |||||||||
0 | 0 | |||||||||
1704.30 | 0.796865 | |||||||||
−893.670 | + | 649.289i | −0.414097 | + | 0.300859i | −0.775259 | − | 0.631644i | ||
0.361161 | + | 0.932503i | ||||||||
0 | 0 | |||||||||
−669.930 | + | 2061.83i | −0.304929 | + | 0.938476i | |||||
555.804 | + | 403.815i | 0.250754 | + | 0.182183i | |||||
0 | 0 | |||||||||
71.9506 | − | 221.441i | 0.0318964 | − | 0.0981671i | |||||
−850.878 | − | 2618.73i | −0.373937 | − | 1.15086i | −0.944193 | − | 0.329393i | ||
0.570256 | − | 0.821467i | ||||||||
0 | 0 | |||||||||
972.426 | 0.420048 | |||||||||
0.776128 | − | 42.3487i | 0.000332402 | − | 0.0181373i | |||||
0 | 0 | |||||||||
1617.91 | − | 1175.48i | 0.681279 | − | 0.494978i | |||||
1317.84 | + | 4055.88i | 0.550277 | + | 1.69358i | 0.708100 | + | 0.706112i | ||
−0.157823 | + | 0.987467i | ||||||||
0 | 0 | |||||||||
983.685 | + | 714.689i | 0.403960 | + | 0.293494i | 0.771152 | − | 0.636651i | ||
−0.367192 | + | 0.930145i | ||||||||
−71.1519 | − | 51.6949i | −0.0289787 | − | 0.0210543i | |||||
0 | 0 | |||||||||
368.458 | + | 1134.00i | 0.147625 | + | 0.454344i | |||||
−576.294 | + | 418.702i | −0.229027 | + | 0.166398i | |||||
0 | 0 | |||||||||
−56.7301 | + | 3095.43i | −0.0221846 | + | 1.21048i | |||||
1950.13 | 0.756529 | |||||||||
0 | 0 | |||||||||
−127.359 | − | 391.971i | −0.0486295 | − | 0.149666i | |||||
−1378.93 | + | 4243.91i | −0.522387 | + | 1.60774i | 0.247040 | + | 0.969005i | ||
−0.769427 | + | 0.638735i | ||||||||
0 | 0 | |||||||||
−3934.29 | − | 2858.43i | −1.46734 | − | 1.06608i | −0.981374 | − | 0.192105i | ||
−0.485964 | − | 0.873979i | ||||||||
−316.201 | + | 973.165i | −0.117020 | + | 0.360151i | |||||
0 | 0 | |||||||||
−1029.36 | + | 747.876i | −0.375132 | + | 0.272549i | |||||
1082.10 | 0.391353 | 0.195677 | − | 0.980668i | ||||||
0.195677 | + | 0.980668i | ||||||||
0 | 0 | |||||||||
3503.59 | 1.24805 | 0.624027 | − | 0.781403i | ||||||
0.624027 | + | 0.781403i | ||||||||
1876.37 | − | 1363.26i | 0.663396 | − | 0.481986i | |||||
0 | 0 | |||||||||
−437.379 | + | 1346.12i | −0.152346 | + | 0.468873i | |||||
870.915 | + | 632.757i | 0.301115 | + | 0.218773i | |||||
0 | 0 | |||||||||
266.430 | − | 819.986i | 0.0907720 | − | 0.279367i | |||||
802.281 | + | 2469.17i | 0.271348 | + | 0.835122i | |||||
0 | 0 | |||||||||
6.25879 | 0.00208639 | |||||||||
1119.03 | − | 1482.32i | 0.370360 | − | 0.490594i | |||||
0 | 0 | |||||||||
−1346.68 | + | 978.420i | −0.439380 | + | 0.319229i | −0.785389 | − | 0.619003i | ||
0.346008 | + | 0.938231i | ||||||||
884.953 | + | 2723.61i | 0.286693 | + | 0.882349i | |||||
0 | 0 | |||||||||
926.358 | + | 673.038i | 0.295909 | + | 0.214990i | |||||
−176.040 | − | 127.900i | −0.0558409 | − | 0.0405708i | |||||
0 | 0 | |||||||||
−244.098 | − | 751.256i | −0.0763615 | − | 0.235017i | |||||
2331.22 | − | 1693.73i | 0.724266 | − | 0.526210i | |||||
0 | 0 | |||||||||
−808.575 | − | 279.203i | −0.247791 | − | 0.0855631i | |||||
−457.479 | −0.139246 | |||||||||
0 | 0 | |||||||||
−299.904 | − | 923.008i | −0.0900584 | − | 0.277171i | 0.895876 | − | 0.444304i | ||
−0.985934 | + | 0.167133i | ||||||||
530.512 | − | 1632.75i | 0.158243 | − | 0.487021i | |||||
0 | 0 | |||||||||
−1994.55 | − | 1449.12i | −0.587059 | − | 0.426523i | |||||
−926.181 | + | 2850.49i | −0.270805 | + | 0.833452i | 0.719494 | + | 0.694499i | ||
−0.990299 | + | 0.138954i | ||||||||
0 | 0 | |||||||||
65.2714 | − | 47.4224i | 0.0188352 | − | 0.0136846i | −0.578328 | − | 0.815804i | ||
0.597163 | + | 0.802120i | ||||||||
429.052 | 0.123004 | |||||||||
0 | 0 | |||||||||
2567.57 | 0.726592 | |||||||||
1982.72 | − | 1440.53i | 0.557477 | − | 0.405031i | −0.273058 | − | 0.961998i | ||
0.830535 | + | 0.556967i | ||||||||
0 | 0 | |||||||||
563.177 | − | 1733.28i | 0.156330 | − | 0.481135i | |||||
−320.555 | − | 232.897i | −0.0884166 | − | 0.0642384i | |||||
0 | 0 | |||||||||
−427.810 | + | 1316.66i | −0.116516 | + | 0.358599i | |||||
−28.2604 | − | 86.9764i | −0.00764858 | − | 0.0235399i | 0.947159 | − | 0.320763i | ||
−0.954808 | + | 0.297223i | ||||||||
0 | 0 | |||||||||
189.338 | 0.0506073 | 0.0253036 | − | 0.999680i | ||||||
0.0253036 | + | 0.999680i | ||||||||
630.637 | + | 2213.85i | 0.167516 | + | 0.588065i | |||||
0 | 0 | |||||||||
2927.95 | − | 2127.28i | 0.768209 | − | 0.558137i | |||||
367.446 | + | 1130.88i | 0.0958174 | + | 0.294896i | |||||
0 | 0 | |||||||||
222.031 | + | 161.315i | 0.0571962 | + | 0.0415555i | |||||
−1524.21 | − | 1107.40i | −0.390271 | − | 0.283548i | |||||
0 | 0 | |||||||||
−570.614 | − | 1756.17i | −0.144355 | − | 0.444280i | |||||
−4126.35 | + | 2997.97i | −1.03766 | + | 0.753905i | −0.969828 | − | 0.243792i | ||
−0.0678331 | + | 0.997697i | ||||||||
0 | 0 | |||||||||
1107.62 | + | 1584.78i | 0.275238 | + | 0.393811i | |||||
−4273.25 | −1.05562 | |||||||||
0 | 0 | |||||||||
−1250.94 | − | 3850.00i | −0.305406 | − | 0.939941i | |||||
791.745 | − | 2436.74i | 0.192170 | − | 0.591439i | −0.807828 | − | 0.589418i | ||
0.999998 | − | 0.00202014i | ||||||||
0 | 0 | |||||||||
−1161.31 | − | 843.742i | −0.278612 | − | 0.202423i | |||||
39.0607 | − | 120.216i | 0.00931708 | − | 0.0286750i | |||||
0 | 0 | |||||||||
−2372.18 | + | 1723.49i | −0.559365 | + | 0.406403i | |||||
2068.82 | 0.485052 | 0.242526 | − | 0.970145i | ||||||
0.242526 | + | 0.970145i | ||||||||
0 | 0 | |||||||||
2676.32 | 0.620397 | |||||||||
671.908 | − | 488.170i | 0.154877 | − | 0.112525i | |||||
0 | 0 | |||||||||
−942.579 | + | 2900.96i | −0.214840 | + | 0.661210i | |||||
−5574.83 | − | 4050.35i | −1.26358 | − | 0.918045i | −0.264653 | − | 0.964344i | ||
−0.998928 | + | 0.0462986i | ||||||||
0 | 0 | |||||||||
65.7913 | − | 202.485i | 0.0147474 | − | 0.0453878i | −0.943412 | − | 0.331623i | ||
0.958159 | + | 0.286235i | ||||||||
−30.4447 | − | 93.6992i | −0.00678670 | − | 0.0208873i | |||||
0 | 0 | |||||||||
−2201.39 | −0.485369 | |||||||||
2266.00 | − | 3001.64i | 0.496891 | − | 0.658202i | |||||
0 | 0 | |||||||||
−999.154 | + | 725.928i | −0.216727 | + | 0.157461i | −0.690852 | − | 0.722996i | ||
0.474125 | + | 0.880457i | ||||||||
−1728.07 | − | 5318.44i | −0.372815 | − | 1.14741i | |||||
0 | 0 | |||||||||
−803.727 | − | 583.942i | −0.171542 | − | 0.124633i | |||||
−1117.78 | − | 812.117i | −0.237300 | − | 0.172409i | 0.462779 | − | 0.886473i | ||
−0.700080 | + | 0.714065i | ||||||||
0 | 0 | |||||||||
540.993 | + | 1665.00i | 0.113635 | + | 0.349732i | 0.991660 | − | 0.128883i | ||
−0.878025 | + | 0.478615i | ||||||||
−3709.22 | + | 2694.91i | −0.775007 | + | 0.563075i | |||||
0 | 0 | |||||||||
−325.371 | + | 99.1660i | −0.0672714 | + | 0.0205028i | |||||
1737.42 | 0.357340 | |||||||||
0 | 0 | |||||||||
707.119 | + | 2176.29i | 0.143928 | + | 0.442965i | |||||
285.502 | − | 878.684i | 0.0578112 | − | 0.177925i | |||||
0 | 0 | |||||||||
2442.60 | + | 1774.66i | 0.489529 | + | 0.355664i | |||||
2551.21 | − | 7851.82i | 0.508680 | − | 1.56556i | −0.285814 | − | 0.958285i | ||
0.794495 | − | 0.607271i | ||||||||
0 | 0 | |||||||||
−299.573 | + | 217.652i | −0.0591247 | + | 0.0429566i | |||||
−3423.70 | −0.672291 | |||||||||
0 | 0 | |||||||||
−2838.57 | −0.551792 | |||||||||
−231.140 | + | 167.933i | −0.0447062 | + | 0.0324809i | |||||
0 | 0 | |||||||||
135.500 | − | 417.026i | 0.0259471 | − | 0.0798571i | |||||
−91.5483 | − | 66.5137i | −0.0174438 | − | 0.0126736i | |||||
0 | 0 | |||||||||
−18.2640 | + | 56.2108i | −0.00344576 | + | 0.0106050i | |||||
−1045.18 | − | 3216.72i | −0.196218 | − | 0.603898i | |||||
0 | 0 | |||||||||
3649.18 | 0.678403 | 0.339201 | − | 0.940714i | ||||||
0.339201 | + | 0.940714i | ||||||||
31.5867 | − | 1723.50i | 0.00584358 | − | 0.318850i | |||||
0 | 0 | |||||||||
−548.463 | + | 398.482i | −0.100486 | + | 0.0730073i | |||||
1416.80 | + | 4360.46i | 0.258326 | + | 0.795045i | 0.993156 | + | 0.116794i | ||
−0.734830 | + | 0.678251i | ||||||||
0 | 0 | |||||||||
2506.95 | + | 1821.41i | 0.452720 | + | 0.328920i | 0.790669 | − | 0.612244i | ||
−0.337949 | + | 0.941165i | ||||||||
−1944.33 | − | 1412.64i | −0.349443 | − | 0.253885i | |||||
0 | 0 | |||||||||
570.947 | + | 1757.19i | 0.101640 | + | 0.312816i | |||||
−2004.46 | + | 1456.33i | −0.355148 | + | 0.258030i | −0.751025 | − | 0.660273i | ||
0.395878 | + | 0.918303i | ||||||||
0 | 0 | |||||||||
3982.62 | − | 1213.81i | 0.699009 | − | 0.213042i | |||||
−1429.92 | −0.249798 | |||||||||
0 | 0 | |||||||||
267.175 | + | 822.281i | 0.0462394 | + | 0.142310i | |||||
1334.99 | − | 4108.66i | 0.229971 | − | 0.707777i | |||||
0 | 0 | |||||||||
449.603 | + | 326.656i | 0.0767369 | + | 0.0557527i | |||||
−1333.68 | + | 4104.63i | −0.226581 | + | 0.697346i | |||||
0 | 0 | |||||||||
3352.48 | − | 2435.72i | 0.564359 | − | 0.410031i | |||||
3672.55 | 0.615423 | |||||||||
0 | 0 | |||||||||
−7320.24 | −1.21558 | −0.607790 | − | 0.794098i | ||||||
−0.607790 | + | 0.794098i | ||||||||
−3993.35 | + | 2901.34i | −0.660132 | + | 0.479614i | |||||
0 | 0 | |||||||||
−590.357 | + | 1816.93i | −0.0967153 | + | 0.297659i | |||||
2306.18 | + | 1675.54i | 0.376120 | + | 0.273267i | |||||
0 | 0 | |||||||||
110.688 | − | 340.662i | 0.0178918 | − | 0.0550654i | −0.941712 | − | 0.336420i | ||
0.959604 | + | 0.281355i | ||||||||
1158.62 | + | 3565.87i | 0.186452 | + | 0.573840i | |||||
0 | 0 | |||||||||
−1989.74 | −0.317379 | |||||||||
−2887.75 | − | 997.149i | −0.458594 | − | 0.158354i | |||||
0 | 0 | |||||||||
−4556.13 | + | 3310.22i | −0.717224 | + | 0.521093i | |||||
−323.179 | − | 994.643i | −0.0506531 | − | 0.155894i | |||||
0 | 0 | |||||||||
−3852.61 | − | 2799.09i | −0.598606 | − | 0.434913i | |||||
4305.99 | + | 3128.49i | 0.666161 | + | 0.483994i | 0.868738 | − | 0.495272i | ||
−0.202577 | + | 0.979266i | ||||||||
0 | 0 | |||||||||
−2741.98 | − | 8438.95i | −0.420559 | − | 1.29435i | −0.907184 | − | 0.420735i | ||
0.486625 | − | 0.873611i | ||||||||
1360.59 | − | 988.525i | 0.207790 | − | 0.150968i | |||||
0 | 0 | |||||||||
−3803.66 | − | 5442.28i | −0.575954 | − | 0.824075i | |||||
6975.14 | 1.05170 | 0.525849 | − | 0.850578i | ||||||
0.525849 | + | 0.850578i | ||||||||
0 | 0 | |||||||||
1324.06 | + | 4075.04i | 0.197955 | + | 0.609241i | |||||
−1789.83 | + | 5508.55i | −0.266464 | + | 0.820091i | |||||
0 | 0 | |||||||||
5966.90 | + | 4335.21i | 0.880896 | + | 0.640008i | |||||
−1504.86 | + | 4631.50i | −0.221236 | + | 0.680894i | 0.777416 | + | 0.628987i | ||
−0.998652 | + | 0.0519074i | ||||||||
0 | 0 | |||||||||
3452.35 | − | 2508.28i | 0.503331 | − | 0.365692i | |||||
2102.86 | 0.305315 | |||||||||
0 | 0 | |||||||||
254.719 | 0.0366784 | |||||||||
2282.72 | − | 1658.50i | 0.327351 | − | 0.237835i | |||||
0 | 0 | |||||||||
2530.11 | − | 7786.88i | 0.359866 | − | 1.10755i | −0.593268 | − | 0.805005i | ||
0.953134 | − | 0.302548i | ||||||||
−49.7775 | − | 36.1654i | −0.00705117 | − | 0.00512297i | |||||
0 | 0 | |||||||||
−380.699 | + | 1171.67i | −0.0534908 | + | 0.164628i | |||||
1666.58 | + | 5129.19i | 0.233219 | + | 0.717775i | |||||
0 | 0 | |||||||||
−817.268 | −0.113449 | −0.0567246 | − | 0.998390i | ||||||
−0.0567246 | + | 0.998390i | ||||||||
3067.30 | + | 4388.70i | 0.424082 | + | 0.606776i | |||||
0 | 0 | |||||||||
7086.45 | − | 5148.61i | 0.971957 | − | 0.706168i | |||||
190.115 | + | 585.113i | 0.0259719 | + | 0.0799334i | |||||
0 | 0 | |||||||||
−78.6699 | − | 57.1570i | −0.0106623 | − | 0.00774660i | 0.582441 | − | 0.812873i | ||
−0.593104 | + | 0.805126i | ||||||||
965.692 | + | 701.616i | 0.130366 | + | 0.0947162i | |||||
0 | 0 | |||||||||
2384.82 | + | 7339.71i | 0.319418 | + | 0.983068i | |||||
9880.66 | − | 7178.72i | 1.31822 | − | 0.957743i | 0.318267 | − | 0.948001i | ||
0.999953 | − | 0.00974165i | ||||||||
0 | 0 | |||||||||
−1522.74 | − | 525.806i | −0.201574 | − | 0.0696040i | |||||
−8410.49 | −1.10902 | |||||||||
0 | 0 | |||||||||
−915.790 | − | 2818.51i | −0.119825 | − | 0.368784i | |||||
−1344.09 | + | 4136.69i | −0.175188 | + | 0.539174i | −0.999642 | − | 0.0267554i | ||
0.824454 | + | 0.565929i | ||||||||
0 | 0 | |||||||||
3638.42 | + | 2643.47i | 0.470596 | + | 0.341908i | |||||
−1766.05 | + | 5435.33i | −0.227548 | + | 0.700320i | |||||
0 | 0 | |||||||||
1514.04 | − | 1100.02i | 0.193595 | − | 0.140655i | |||||
1726.69 | 0.219947 | |||||||||
0 | 0 | |||||||||
−11423.8 | −1.44420 | −0.722098 | − | 0.691791i | ||||||
−0.722098 | + | 0.691791i | ||||||||
4902.11 | − | 3561.59i | 0.617388 | − | 0.448559i | |||||
0 | 0 | |||||||||
−36.9839 | + | 113.825i | −0.00462299 | + | 0.0142281i | |||||
12585.5 | + | 9143.87i | 1.56730 | + | 1.13871i | 0.929684 | + | 0.368359i | ||
0.637618 | + | 0.770352i | ||||||||
0 | 0 | |||||||||
139.502 | − | 429.342i | 0.0172434 | − | 0.0530696i | |||||
−1266.75 | − | 3898.66i | −0.155998 | − | 0.480113i | |||||
0 | 0 | |||||||||
1861.79 | 0.227584 | |||||||||
−5310.57 | + | 1618.55i | −0.646770 | + | 0.197121i | |||||
0 | 0 | |||||||||
−9197.12 | + | 6682.10i | −1.11190 | + | 0.807845i | −0.982962 | − | 0.183808i | ||
−0.128940 | + | 0.991652i | ||||||||
−460.782 | − | 1418.14i | −0.0555034 | − | 0.170822i | |||||
0 | 0 | |||||||||
−6083.24 | − | 4419.73i | −0.727427 | − | 0.528506i | |||||
−603.680 | − | 438.599i | −0.0719253 | − | 0.0522568i | |||||
0 | 0 | |||||||||
1425.48 | + | 4387.19i | 0.168613 | + | 0.518937i | |||||
793.754 | − | 576.696i | 0.0935505 | − | 0.0679684i | |||||
0 | 0 | |||||||||
58.8587 | − | 3211.57i | 0.00688725 | − | 0.375797i | |||||
3798.45 | 0.442880 | 0.221440 | − | 0.975174i | ||||||
0.221440 | + | 0.975174i | ||||||||
0 | 0 | |||||||||
4277.70 | + | 13165.4i | 0.495208 | + | 1.52409i | 0.816633 | + | 0.577157i | ||
−0.321425 | + | 0.946935i | ||||||||
−889.614 | + | 2737.95i | −0.102620 | + | 0.315833i | |||||
0 | 0 | |||||||||
10406.5 | + | 7560.76i | 1.19194 | + | 0.865997i | |||||
2703.29 | − | 8319.88i | 0.308539 | − | 0.949585i | |||||
0 | 0 | |||||||||
5514.03 | − | 4006.18i | 0.624924 | − | 0.454034i | |||||
−3316.30 | −0.374532 | |||||||||
0 | 0 | |||||||||
−376.327 | −0.0422049 | |||||||||
−10280.2 | + | 7469.03i | −1.14891 | + | 0.834735i | −0.988336 | − | 0.152289i | ||
−0.160578 | + | 0.987023i | ||||||||
0 | 0 | |||||||||
5000.41 | − | 15389.7i | 0.554975 | − | 1.70804i | −0.141034 | − | 0.990005i | ||
0.696009 | − | 0.718033i | ||||||||
−1105.23 | − | 802.995i | −0.122241 | − | 0.0888134i | |||||
0 | 0 | |||||||||
−2578.94 | + | 7937.15i | −0.283277 | + | 0.871836i | |||||
−833.724 | − | 2565.94i | −0.0912641 | − | 0.280882i | |||||
0 | 0 | |||||||||
−14356.7 | −1.56084 | −0.780419 | − | 0.625256i | ||||||
−0.780419 | + | 0.625256i | ||||||||
−3675.37 | + | 1120.17i | −0.398219 | + | 0.121368i | |||||
0 | 0 | |||||||||
−640.090 | + | 465.053i | −0.0688823 | + | 0.0500459i | |||||
−1131.96 | − | 3483.80i | −0.121401 | − | 0.373635i | 0.871827 | − | 0.489814i | ||
−0.993228 | + | 0.116179i | ||||||||
0 | 0 | |||||||||
4379.14 | + | 3181.63i | 0.466497 | + | 0.338930i | |||||
−1357.91 | − | 986.576i | −0.144167 | − | 0.104744i | |||||
0 | 0 | |||||||||
−890.430 | − | 2740.46i | −0.0939037 | − | 0.289006i | |||||
2659.66 | − | 1932.36i | 0.279548 | − | 0.203104i | −0.439172 | − | 0.898403i | ||
0.718720 | + | 0.695299i | ||||||||
0 | 0 | |||||||||
4048.63 | − | 5362.98i | 0.422711 | − | 0.559940i | |||||
7140.35 | 0.743040 | |||||||||
0 | 0 | |||||||||
1601.80 | + | 4929.83i | 0.165586 | + | 0.509622i | |||||
73.5605 | − | 226.396i | 0.00757928 | − | 0.0233266i | |||||
0 | 0 | |||||||||
6050.71 | + | 4396.10i | 0.619344 | + | 0.449980i | 0.852692 | − | 0.522413i | ||
−0.233348 | + | 0.972393i | ||||||||
43.1182 | − | 132.704i | 0.00439908 | − | 0.0135390i | |||||
0 | 0 | |||||||||
−1005.31 | + | 730.401i | −0.101897 | + | 0.0740328i | |||||
−16077.1 | −1.62427 | −0.812134 | − | 0.583471i | ||||||
−0.812134 | + | 0.583471i | ||||||||
0 | 0 | |||||||||
−8332.21 | −0.836352 | −0.418176 | − | 0.908366i | ||||||
−0.418176 | + | 0.908366i | ||||||||
−107.189 | + | 77.8773i | −0.0107244 | + | 0.00779173i | |||||
0 | 0 | |||||||||
1309.78 | − | 4031.08i | 0.130202 | − | 0.400722i | |||||
−14316.8 | − | 10401.7i | −1.41863 | − | 1.03070i | −0.991995 | − | 0.126274i | ||
−0.426637 | − | 0.904423i | ||||||||
0 | 0 | |||||||||
−1775.10 | + | 5463.19i | −0.174769 | + | 0.537882i | |||||
−973.997 | − | 2997.66i | −0.0955897 | − | 0.294195i | |||||
0 | 0 | |||||||||
−1779.73 | −0.173556 | |||||||||
−971.506 | − | 1390.03i | −0.0944395 | − | 0.135124i | |||||
0 | 0 | |||||||||
−4245.73 | + | 3084.71i | −0.410121 | + | 0.297971i | |||||
−1239.03 | − | 3813.36i | −0.119309 | − | 0.367195i | |||||
0 | 0 | |||||||||
−127.957 | − | 92.9665i | −0.0122440 | − | 0.00889579i | |||||
6413.14 | + | 4659.42i | 0.611741 | + | 0.444456i | 0.850027 | − | 0.526739i | ||
−0.238286 | + | 0.971195i | ||||||||
0 | 0 | |||||||||
−253.506 | − | 780.212i | −0.0240310 | − | 0.0739597i | |||||
264.916 | − | 192.473i | 0.0250345 | − | 0.0181886i | |||||
0 | 0 | |||||||||
−5246.42 | − | 4113.70i | −0.492714 | − | 0.386336i | |||||
−2769.58 | −0.259299 | |||||||||
0 | 0 | |||||||||
−848.093 | − | 2610.16i | −0.0789133 | − | 0.242870i | 0.903815 | − | 0.427923i | ||
−0.982729 | + | 0.185053i | ||||||||
5023.40 | − | 15460.4i | 0.465981 | − | 1.43414i | |||||
0 | 0 | |||||||||
1663.72 | + | 1208.77i | 0.153386 | + | 0.111442i | |||||
4252.16 | − | 13086.8i | 0.390830 | − | 1.20285i | −0.541332 | − | 0.840809i | ||
0.932162 | − | 0.362042i | ||||||||
0 | 0 | |||||||||
7834.85 | − | 5692.35i | 0.715748 | − | 0.520021i | |||||
474.644 | 0.0432292 | |||||||||
0 | 0 | |||||||||
97.2200 | 0.00880102 | |||||||||
−6985.34 | + | 5075.15i | −0.630454 | + | 0.458051i | |||||
0 | 0 | |||||||||
3285.52 | − | 10111.8i | 0.294750 | − | 0.907147i | −0.688555 | − | 0.725184i | ||
0.983305 | − | 0.181963i | ||||||||
4326.64 | + | 3143.49i | 0.386987 | + | 0.281162i | |||||
0 | 0 | |||||||||
−2725.86 | + | 8389.33i | −0.242353 | + | 0.745885i | |||||
−3896.04 | − | 11990.8i | −0.345360 | − | 1.06291i | −0.961391 | − | 0.275186i | ||
0.616032 | − | 0.787721i | ||||||||
0 | 0 | |||||||||
−3830.98 | −0.337577 | |||||||||
3160.76 | + | 1091.42i | 0.277694 | + | 0.0958885i | |||||
0 | 0 | |||||||||
10012.6 | − | 7274.61i | 0.874487 | − | 0.635352i | |||||
−3953.17 | − | 12166.6i | −0.344246 | − | 1.05948i | −0.961986 | − | 0.273099i | ||
0.617740 | − | 0.786383i | ||||||||
0 | 0 | |||||||||
4600.00 | + | 3342.09i | 0.398223 | + | 0.289326i | |||||
339.995 | + | 247.021i | 0.0293472 | + | 0.0213220i | |||||
0 | 0 | |||||||||
−1369.30 | − | 4214.27i | −0.117504 | − | 0.361641i | |||||
−5685.06 | + | 4130.44i | −0.486435 | + | 0.353415i | |||||
0 | 0 | |||||||||
8557.97 | − | 11336.2i | 0.728006 | − | 0.964346i | |||||
−2482.58 | −0.210576 | |||||||||
0 | 0 | |||||||||
−175.448 | − | 539.974i | −0.0147960 | − | 0.0455374i | |||||
−3241.09 | + | 9975.04i | −0.272542 | + | 0.838799i | 0.717317 | + | 0.696747i | ||
−0.989859 | + | 0.142052i | ||||||||
0 | 0 | |||||||||
5438.69 | + | 3951.44i | 0.454718 | + | 0.330372i | 0.791456 | − | 0.611227i | ||
−0.336738 | + | 0.941598i | ||||||||
2624.25 | − | 8076.61i | 0.218780 | − | 0.673337i | |||||
0 | 0 | |||||||||
2894.63 | − | 2103.07i | 0.239946 | − | 0.174331i | |||||
−7106.18 | −0.587382 | |||||||||
0 | 0 | |||||||||
−9358.32 | −0.769156 | |||||||||
3744.63 | − | 2720.63i | 0.306898 | − | 0.222975i | |||||
0 | 0 | |||||||||
−743.306 | + | 2287.66i | −0.0605760 | + | 0.186434i | |||||
803.300 | + | 583.632i | 0.0652810 | + | 0.0474294i | |||||
0 | 0 | |||||||||
−957.717 | + | 2947.55i | −0.0773938 | + | 0.238194i | |||||
4233.76 | + | 13030.2i | 0.341177 | + | 1.05003i | |||||
0 | 0 | |||||||||
−11917.5 | −0.955021 | |||||||||
−169.814 | + | 9265.76i | −0.0135703 | + | 0.740454i | |||||
0 | 0 | |||||||||
−10028.7 | + | 7286.29i | −0.796984 | + | 0.579042i | −0.910028 | − | 0.414547i | ||
0.113044 | + | 0.993590i | ||||||||
−113.784 | − | 350.191i | −0.00901742 | − | 0.0277528i | |||||
0 | 0 | |||||||||
−12494.7 | − | 9077.92i | −0.984752 | − | 0.715464i | |||||
6309.81 | + | 4584.34i | 0.495931 | + | 0.360315i | |||||
0 | 0 | |||||||||
−1865.99 | − | 5742.92i | −0.145857 | − | 0.448902i | 0.851263 | − | 0.524739i | ||
−0.997120 | + | 0.0758369i | ||||||||
5158.08 | − | 3747.57i | 0.402085 | − | 0.292132i | |||||
0 | 0 | |||||||||
119.187 | − | 6503.31i | 0.00924024 | − | 0.504186i | |||||
−5809.74 | −0.449190 | |||||||||
0 | 0 | |||||||||
1075.23 | + | 3309.21i | 0.0826823 | + | 0.254470i | |||||
−660.039 | + | 2031.39i | −0.0506180 | + | 0.155786i | |||||
0 | 0 | |||||||||
13102.9 | + | 9519.84i | 0.999439 | + | 0.726135i | |||||
−4667.78 | + | 14365.9i | −0.355081 | + | 1.09283i | 0.600882 | + | 0.799338i | ||
−0.955963 | + | 0.293488i | ||||||||
0 | 0 | |||||||||
202.736 | − | 147.296i | 0.0153395 | − | 0.0111448i | |||||
51.2650 | 0.00386847 | |||||||||
0 | 0 | |||||||||
−2389.53 | −0.179353 | |||||||||
1735.56 | − | 1260.96i | 0.129920 | − | 0.0943927i | −0.520927 | − | 0.853601i | ||
0.650848 | + | 0.759208i | ||||||||
0 | 0 | |||||||||
2062.06 | − | 6346.38i | 0.153543 | − | 0.472556i | |||||
2449.51 | + | 1779.67i | 0.181909 | + | 0.132165i | |||||
0 | 0 | |||||||||
−6363.80 | + | 19585.8i | −0.470104 | + | 1.44683i | |||||
6431.23 | + | 19793.3i | 0.473833 | + | 1.45831i | 0.847525 | + | 0.530755i | ||
−0.373692 | + | 0.927553i | ||||||||
0 | 0 | |||||||||
−4825.78 | −0.353683 | −0.176841 | − | 0.984239i | ||||||
−0.176841 | + | 0.984239i | ||||||||
593.561 | − | 786.256i | 0.0433882 | − | 0.0574738i | |||||
0 | 0 | |||||||||
2430.94 | − | 1766.18i | 0.176769 | − | 0.128431i | |||||
−1688.26 | − | 5195.93i | −0.122444 | − | 0.376844i | |||||
0 | 0 | |||||||||
16941.5 | + | 12308.7i | 1.22233 | + | 0.888073i | 0.996291 | − | 0.0860455i | ||
0.226037 | + | 0.974119i | ||||||||
3201.70 | + | 2326.17i | 0.230403 | + | 0.167398i | |||||
0 | 0 | |||||||||
826.879 | + | 2544.87i | 0.0591970 | + | 0.182190i | |||||
−7520.42 | + | 5463.91i | −0.537005 | + | 0.390157i | |||||
0 | 0 | |||||||||
19716.1 | + | 6808.02i | 1.40061 | + | 0.483635i | |||||
13561.4 | 0.960915 | |||||||||
0 | 0 | |||||||||
−4412.24 | − | 13579.5i | −0.311037 | − | 0.957274i | |||||
1727.29 | − | 5316.06i | 0.121453 | − | 0.373794i | −0.871785 | − | 0.489889i | ||
0.993238 | + | 0.116094i | ||||||||
0 | 0 | |||||||||
3448.88 | + | 2505.76i | 0.241271 | + | 0.175294i | |||||
−197.897 | + | 609.065i | −0.0138090 | + | 0.0424997i | |||||
0 | 0 | |||||||||
142.930 | − | 103.845i | 0.00992293 | − | 0.00720943i | |||||
21114.0 | 1.46214 | 0.731069 | − | 0.682303i | ||||||
0.731069 | + | 0.682303i | ||||||||
0 | 0 | |||||||||
−3747.15 | −0.258182 | |||||||||
6651.06 | − | 4832.28i | 0.457111 | − | 0.332110i | |||||
0 | 0 | |||||||||
−152.690 | + | 469.933i | −0.0104414 | + | 0.0321354i | |||||
6571.14 | + | 4774.21i | 0.448229 | + | 0.325658i | 0.788896 | − | 0.614526i | ||
−0.340667 | + | 0.940184i | ||||||||
0 | 0 | |||||||||
489.767 | − | 1507.35i | 0.0332413 | − | 0.102306i | −0.933059 | − | 0.359723i | ||
0.966301 | + | 0.257417i | ||||||||
−234.343 | − | 721.234i | −0.0158656 | − | 0.0488294i | |||||
0 | 0 | |||||||||
327.737 | 0.0220785 | |||||||||
−5171.40 | + | 3475.05i | −0.347516 | + | 0.233522i | |||||
0 | 0 | |||||||||
−13583.2 | + | 9868.80i | −0.908281 | + | 0.659905i | −0.940579 | − | 0.339574i | ||
0.0322987 | + | 0.999478i | ||||||||
2863.08 | + | 8811.67i | 0.190976 | + | 0.587764i | |||||
0 | 0 | |||||||||
−4732.35 | − | 3438.26i | −0.314111 | − | 0.228215i | |||||
1698.01 | + | 1233.68i | 0.112429 | + | 0.0816845i | |||||
0 | 0 | |||||||||
−1429.28 | − | 4398.87i | −0.0941731 | − | 0.289835i | 0.892864 | − | 0.450326i | ||
−0.987037 | + | 0.160491i | ||||||||
5105.82 | − | 3709.60i | 0.335593 | − | 0.243823i | |||||
0 | 0 | |||||||||
−4435.52 | − | 6346.34i | −0.290117 | − | 0.415100i | |||||
−581.103 | −0.0379163 | −0.0189581 | − | 0.999820i | ||||||
−0.0189581 | + | 0.999820i | ||||||||
0 | 0 | |||||||||
5742.03 | + | 17672.2i | 0.372846 | + | 1.14750i | 0.944920 | + | 0.327301i | ||
−0.572074 | + | 0.820202i | ||||||||
606.744 | − | 1867.37i | 0.0393023 | − | 0.120960i | |||||
0 | 0 | |||||||||
6414.99 | + | 4660.76i | 0.413533 | + | 0.300450i | |||||
−3370.68 | + | 10373.9i | −0.216763 | + | 0.667129i | |||||
0 | 0 | |||||||||
−6381.50 | + | 4636.43i | −0.408416 | + | 0.296732i | |||||
5359.22 | 0.342168 | |||||||||
0 | 0 | |||||||||
6960.59 | 0.442289 | |||||||||
−10447.3 | + | 7590.39i | −0.662258 | + | 0.481159i | |||||
0 | 0 | |||||||||
3758.79 | − | 11568.4i | 0.237139 | − | 0.729840i | −0.759691 | − | 0.650284i | ||
0.996830 | − | 0.0795558i | ||||||||
6713.98 | + | 4877.99i | 0.422575 | + | 0.307019i | |||||
0 | 0 | |||||||||
−1324.15 | + | 4075.30i | −0.0829472 | + | 0.255285i | |||||
−3574.16 | − | 11000.1i | −0.223364 | − | 0.687444i | |||||
0 | 0 | |||||||||
−1369.40 | −0.0851769 | |||||||||
4338.45 | − | 5746.89i | 0.269218 | − | 0.356617i | |||||
0 | 0 | |||||||||
3513.16 | − | 2552.46i | 0.216984 | − | 0.157648i | |||||
5677.31 | + | 17473.0i | 0.349829 | + | 1.07666i | 0.958948 | + | 0.283583i | ||
−0.609119 | + | 0.793079i | ||||||||
0 | 0 | |||||||||
−370.655 | − | 269.297i | −0.0227328 | − | 0.0165164i | 0.576361 | − | 0.817195i | ||
−0.599094 | + | 0.800679i | ||||||||
−2025.84 | − | 1471.86i | −0.123958 | − | 0.0900610i | |||||
0 | 0 | |||||||||
−2308.82 | − | 7105.80i | −0.140618 | − | 0.432777i | |||||
6335.74 | − | 4603.19i | 0.384983 | − | 0.279706i | −0.378414 | − | 0.925637i | ||
0.763396 | + | 0.645930i | ||||||||
0 | 0 | |||||||||
−2760.57 | + | 841.362i | −0.166968 | + | 0.0508880i | |||||
961.135 | 0.0579982 | |||||||||
0 | 0 | |||||||||
−3862.63 | − | 11888.0i | −0.232013 | − | 0.714062i | |||||
−4743.85 | + | 14600.1i | −0.284289 | + | 0.874953i | 0.702321 | + | 0.711860i | ||
−0.986611 | + | 0.163093i | ||||||||
0 | 0 | |||||||||
−6420.68 | − | 4664.89i | −0.383018 | − | 0.278279i | |||||
−66.0786 | + | 203.369i | −0.00393283 | + | 0.0121040i | |||||
0 | 0 | |||||||||
5138.51 | − | 3733.35i | 0.304438 | − | 0.221187i | |||||
−5177.35 | −0.306041 | −0.153020 | − | 0.988223i | ||||||
−0.153020 | + | 0.988223i | ||||||||
0 | 0 | |||||||||
−11234.4 | −0.661073 | −0.330536 | − | 0.943793i | ||||||
−0.330536 | + | 0.943793i | ||||||||
−10242.3 | + | 7441.43i | −0.601324 | + | 0.436887i | |||||
0 | 0 | |||||||||
−6851.27 | + | 21086.0i | −0.400423 | + | 1.23238i | |||||
1818.63 | + | 1321.31i | 0.106050 | + | 0.0770499i | |||||
0 | 0 | |||||||||
1868.96 | − | 5752.08i | 0.108496 | − | 0.333915i | |||||
−1709.81 | − | 5262.25i | −0.0990337 | − | 0.304794i | |||||
0 | 0 | |||||||||
4930.02 | 0.284273 | |||||||||
483.025 | − | 26355.9i | 0.0277898 | − | 1.51633i | |||||
0 | 0 | |||||||||
7158.27 | − | 5200.79i | 0.410002 | − | 0.297884i | −0.363601 | − | 0.931555i | ||
0.773603 | + | 0.633671i | ||||||||
−191.431 | − | 589.165i | −0.0109401 | − | 0.0336703i | |||||
0 | 0 | |||||||||
−8785.17 | − | 6382.80i | −0.499839 | − | 0.363154i | |||||
−22816.5 | − | 16577.2i | −1.29529 | − | 0.941082i | −0.295391 | − | 0.955377i | ||
−0.999898 | + | 0.0142945i | ||||||||
0 | 0 | |||||||||
−1724.65 | − | 5307.92i | −0.0974756 | − | 0.299999i | |||||
−7230.41 | + | 5253.20i | −0.407755 | + | 0.296252i | |||||
0 | 0 | |||||||||
−5054.11 | + | 1540.38i | −0.283771 | + | 0.0864871i | |||||
1139.02 | 0.0638117 | 0.0319058 | − | 0.999491i | ||||||
0.0319058 | + | 0.999491i | ||||||||
0 | 0 | |||||||||
−1841.25 | − | 5666.79i | −0.102702 | − | 0.316083i | |||||
−3009.77 | + | 9263.11i | −0.167512 | + | 0.515550i | |||||
0 | 0 | |||||||||
43.6605 | + | 31.7212i | 0.00241939 | + | 0.00175779i | |||||
−952.446 | + | 2931.33i | −0.0526637 | + | 0.162082i | |||||
0 | 0 | |||||||||
15183.7 | − | 11031.6i | 0.835909 | − | 0.607324i | −0.0853155 | − | 0.996354i | ||
0.921225 | + | 0.389030i | ||||||||
13792.1 | 0.757655 | |||||||||
0 | 0 | |||||||||
9205.09 | 0.503488 | |||||||||
12245.3 | − | 8896.72i | 0.668331 | − | 0.485571i | |||||
0 | 0 | |||||||||
4829.94 | − | 14865.0i | 0.262478 | − | 0.807823i | |||||
−12415.2 | − | 9020.15i | −0.673239 | − | 0.489137i | |||||
0 | 0 | |||||||||
−1505.17 | + | 4632.43i | −0.0812714 | + | 0.250128i | |||||
−1169.64 | − | 3599.79i | −0.0630196 | − | 0.193955i | 0.914589 | − | 0.404384i | ||
−0.977609 | + | 0.210429i | ||||||||
0 | 0 | |||||||||
7746.93 | 0.415620 | |||||||||
−10534.1 | − | 3637.44i | −0.563945 | − | 0.194732i | |||||
0 | 0 | |||||||||
9759.41 | − | 7090.63i | 0.520255 | − | 0.377988i | |||||
−2385.59 | − | 7342.10i | −0.126902 | − | 0.390563i | |||||
0 | 0 | |||||||||
−1462.15 | − | 1062.32i | −0.0774503 | − | 0.0562709i | 0.548386 | − | 0.836225i | ||
−0.625837 | + | 0.779954i | ||||||||
5995.09 | + | 4355.69i | 0.316890 | + | 0.230234i | |||||
0 | 0 | |||||||||
8039.37 | + | 24742.6i | 0.423157 | + | 1.30234i | |||||
−3590.37 | + | 2608.56i | −0.188584 | + | 0.137014i | |||||
0 | 0 | |||||||||
−527.413 | − | 754.624i | −0.0275862 | − | 0.0394704i | |||||
−21361.1 | −1.11495 | |||||||||
0 | 0 | |||||||||
2602.62 | + | 8010.03i | 0.135277 | + | 0.416339i | |||||
10208.8 | − | 31419.5i | 0.529520 | − | 1.62970i | −0.225680 | − | 0.974202i | ||
0.755200 | − | 0.655494i | ||||||||
0 | 0 | |||||||||
−11456.2 | − | 8323.40i | −0.591748 | − | 0.429930i | |||||
2280.62 | − | 7019.01i | 0.117556 | − | 0.361801i | |||||
0 | 0 | |||||||||
−4927.22 | + | 3579.83i | −0.252926 | + | 0.183762i | |||||
−11764.5 | −0.602652 | |||||||||
0 | 0 | |||||||||
1906.51 | 0.0972606 | 0.0486303 | − | 0.998817i | ||||||
0.0486303 | + | 0.998817i | ||||||||
925.611 | − | 672.496i | 0.0471228 | − | 0.0342367i | |||||
0 | 0 | |||||||||
1507.96 | − | 4641.03i | 0.0764551 | − | 0.235305i | |||||
−3191.31 | − | 2318.62i | −0.161470 | − | 0.117315i | |||||
0 | 0 | |||||||||
2986.92 | − | 9192.78i | 0.150511 | − | 0.463224i | −0.847168 | − | 0.531325i | ||
0.997678 | + | 0.0681014i | ||||||||
−4375.75 | − | 13467.2i | −0.220043 | − | 0.677224i | |||||
0 | 0 | |||||||||
−9645.24 | −0.483055 | |||||||||
12727.1 | + | 18209.9i | 0.636103 | + | 0.910137i | |||||
0 | 0 | |||||||||
−20359.0 | + | 14791.7i | −1.01342 | + | 0.736293i | −0.964924 | − | 0.262531i | ||
−0.0484964 | + | 0.998823i | ||||||||
−1102.59 | − | 3393.43i | −0.0547731 | − | 0.168574i | |||||
0 | 0 | |||||||||
7545.93 | + | 5482.44i | 0.373342 | + | 0.271249i | |||||
−25301.6 | − | 18382.7i | −1.24930 | − | 0.907667i | −0.251115 | − | 0.967957i | ||
−0.998181 | + | 0.0602905i | ||||||||
0 | 0 | |||||||||
−2374.19 | − | 7307.01i | −0.116757 | − | 0.359340i | |||||
−1143.50 | + | 830.799i | −0.0561212 | + | 0.0407744i | |||||
0 | 0 | |||||||||
−14658.2 | − | 5061.50i | −0.716518 | − | 0.247416i | |||||
−6245.38 | −0.304675 | |||||||||
0 | 0 | |||||||||
4771.36 | + | 14684.7i | 0.231837 | + | 0.713520i | 0.997525 | + | 0.0703084i | ||
−0.765689 | + | 0.643211i | ||||||||
−139.677 | + | 429.880i | −0.00677325 | + | 0.0208459i | |||||
0 | 0 | |||||||||
860.804 | + | 625.410i | 0.0415764 | + | 0.0302070i | |||||
94.6473 | − | 291.295i | 0.00456234 | − | 0.0140414i | |||||
0 | 0 | |||||||||
−23225.1 | + | 16874.0i | −1.11510 | + | 0.810167i | −0.983459 | − | 0.181130i | ||
−0.131641 | + | 0.991298i | ||||||||
−168.176 | −0.00805861 | |||||||||
0 | 0 | |||||||||
5361.54 | 0.255899 | |||||||||
31306.9 | − | 22745.8i | 1.49129 | − | 1.08349i | 0.517602 | − | 0.855622i | ||
0.973692 | − | 0.227867i | ||||||||
0 | 0 | |||||||||
−4856.74 | + | 14947.5i | −0.230440 | + | 0.709222i | |||||
−18082.7 | − | 13137.8i | −0.856294 | − | 0.622134i | |||||
0 | 0 | |||||||||
6527.15 | − | 20088.5i | 0.307879 | − | 0.947554i | |||||
−131.779 | − | 405.575i | −0.00620374 | − | 0.0190932i | |||||
0 | 0 | |||||||||
9520.91 | 0.446467 | 0.223233 | − | 0.974765i | ||||||
0.223233 | + | 0.974765i | ||||||||
−2665.08 | + | 812.257i | −0.124731 | + | 0.0380152i | |||||
0 | 0 | |||||||||
19706.6 | − | 14317.7i | 0.918726 | − | 0.667494i | |||||
6442.57 | + | 19828.2i | 0.299771 | + | 0.922601i | 0.981577 | + | 0.191067i | ||
−0.681806 | + | 0.731533i | ||||||||
0 | 0 | |||||||||
6983.85 | + | 5074.06i | 0.323700 | + | 0.235182i | |||||
−10769.1 | − | 7824.22i | −0.498181 | − | 0.361950i | |||||
0 | 0 | |||||||||
2324.57 | + | 7154.28i | 0.107120 | + | 0.329683i | |||||
−7585.79 | + | 5511.40i | −0.348895 | + | 0.253487i | |||||
0 | 0 | |||||||||
−611.911 | + | 33388.4i | −0.0280357 | + | 1.52975i | |||||
7778.01 | 0.355679 | |||||||||
0 | 0 | |||||||||
−91.1322 | − | 280.476i | −0.00415143 | − | 0.0127768i | |||||
2010.15 | − | 6186.61i | 0.0913954 | − | 0.281286i | |||||
0 | 0 | |||||||||
−22007.2 | − | 15989.1i | −0.996786 | − | 0.724207i | −0.0353890 | − | 0.999374i | ||
−0.961397 | + | 0.275166i | ||||||||
−1674.93 | + | 5154.90i | −0.0757194 | + | 0.233040i | |||||
0 | 0 | |||||||||
2415.93 | − | 1755.27i | 0.108804 | − | 0.0790504i | |||||
13447.0 | 0.604449 | |||||||||
0 | 0 | |||||||||
3895.17 | 0.174428 | |||||||||
−15983.9 | + | 11613.0i | −0.714417 | + | 0.519054i | |||||
0 | 0 | |||||||||
−5423.02 | + | 16690.3i | −0.241474 | + | 0.743182i | |||||
−10894.2 | − | 7915.11i | −0.484182 | − | 0.351778i | 0.318761 | − | 0.947835i | ||
−0.802942 | + | 0.596057i | ||||||||
0 | 0 | |||||||||
10209.5 | − | 31421.6i | 0.452047 | − | 1.39126i | |||||
5797.63 | + | 17843.3i | 0.256222 | + | 0.788569i | |||||
0 | 0 | |||||||||
26904.5 | 1.18458 | |||||||||
21035.4 | − | 6411.12i | 0.924437 | − | 0.281748i | |||||
0 | 0 | |||||||||
−1893.24 | + | 1375.52i | −0.0828917 | + | 0.0602244i | |||||
−241.264 | − | 742.534i | −0.0105436 | − | 0.0324499i | |||||
0 | 0 | |||||||||
−14896.2 | − | 10822.7i | −0.648572 | − | 0.471215i | |||||
26245.3 | + | 19068.3i | 1.14059 | + | 0.828686i | 0.987201 | − | 0.159481i | ||
0.153387 | + | 0.988166i | ||||||||
0 | 0 | |||||||||
8831.27 | + | 27179.8i | 0.382377 | + | 1.17684i | 0.938365 | + | 0.345645i | ||
−0.555988 | + | 0.831190i | ||||||||
−4362.36 | + | 3169.44i | −0.188533 | + | 0.136977i | |||||
0 | 0 | |||||||||
−5785.05 | + | 7663.12i | −0.249098 | + | 0.329966i | |||||
−11681.6 | −0.502071 | |||||||||
0 | 0 | |||||||||
731.270 | + | 2250.62i | 0.0313145 | + | 0.0963760i | |||||
−6075.60 | + | 18698.8i | −0.259692 | + | 0.799251i | |||||
0 | 0 | |||||||||
3493.85 | + | 2538.43i | 0.148793 | + | 0.108105i | |||||
−2345.53 | + | 7218.81i | −0.0997072 | + | 0.306867i | −0.988452 | − | 0.151535i | ||
0.888745 | + | 0.458403i | ||||||||
0 | 0 | |||||||||
−3277.29 | + | 2381.09i | −0.138808 | + | 0.100850i | −0.655022 | − | 0.755609i | ||
0.516214 | + | 0.856460i | ||||||||
−33774.3 | −1.42789 | |||||||||
0 | 0 | |||||||||
−1290.51 | −0.0543615 | |||||||||
23949.1 | − | 17400.0i | 1.00700 | − | 0.731630i | 0.0434246 | − | 0.999057i | ||
0.963578 | + | 0.267426i | ||||||||
0 | 0 | |||||||||
65.8920 | − | 202.795i | 0.00276058 | − | 0.00849621i | −0.949667 | − | 0.313262i | ||
0.952427 | + | 0.304766i | ||||||||
6454.32 | + | 4689.34i | 0.269919 | + | 0.196108i | |||||
0 | 0 | |||||||||
508.880 | − | 1566.17i | 0.0212046 | − | 0.0652611i | |||||
6661.20 | + | 20501.1i | 0.277067 | + | 0.852724i | |||||
0 | 0 | |||||||||
−5170.89 | −0.214307 | |||||||||
5329.35 | + | 7625.24i | 0.220478 | + | 0.315460i | |||||
0 | 0 | |||||||||
5314.68 | − | 3861.34i | 0.219084 | − | 0.159174i | |||||
3132.38 | + | 9640.46i | 0.128893 | + | 0.396693i | 0.994590 | − | 0.103875i | ||
−0.865697 | + | 0.500569i | ||||||||
0 | 0 | |||||||||
9194.69 | + | 6680.33i | 0.377001 | + | 0.273908i | |||||
19368.6 | + | 14072.1i | 0.792739 | + | 0.575959i | |||||
0 | 0 | |||||||||
−2576.53 | − | 7929.74i | −0.105080 | − | 0.323404i | |||||
−8210.14 | + | 5965.01i | −0.334245 | + | 0.242843i | |||||
0 | 0 | |||||||||
−9880.25 | − | 7747.08i | −0.400814 | − | 0.314277i | |||||
−663.768 | −0.0268796 | |||||||||
0 | 0 | |||||||||
−4675.26 | − | 14389.0i | −0.188659 | − | 0.580633i | |||||
−2492.15 | + | 7670.04i | −0.100387 | + | 0.308961i | |||||
0 | 0 | |||||||||
−23714.3 | − | 17229.4i | −0.951888 | − | 0.691587i | −0.000635352 | − | 1.00000i | ||
−0.951253 | + | 0.308413i | ||||||||
3642.56 | − | 11210.6i | 0.145955 | − | 0.449204i | |||||
0 | 0 | |||||||||
−12050.9 | + | 8755.52i | −0.481183 | + | 0.349600i | |||||
22219.3 | 0.885642 | 0.442821 | − | 0.896610i | ||||||
0.442821 | + | 0.896610i | ||||||||
0 | 0 | |||||||||
25401.2 | 1.00894 | 0.504468 | − | 0.863430i | ||||||
0.504468 | + | 0.863430i | ||||||||
881.771 | − | 640.644i | 0.0349630 | − | 0.0254021i | |||||
0 | 0 | |||||||||
−6791.11 | + | 20900.9i | −0.268337 | + | 0.825855i | |||||
2925.53 | + | 2125.52i | 0.115395 | + | 0.0838395i | 0.643986 | − | 0.765037i | ||
−0.528591 | + | 0.848877i | ||||||||
0 | 0 | |||||||||
3983.03 | − | 12258.5i | 0.156563 | − | 0.481852i | |||||
−8648.05 | − | 26616.0i | −0.339345 | − | 1.04440i | |||||
0 | 0 | |||||||||
3956.65 | 0.154721 | |||||||||
12720.3 | + | 4392.35i | 0.496554 | + | 0.171462i | |||||
0 | 0 | |||||||||
−2655.91 | + | 1929.63i | −0.103320 | + | 0.0750666i | |||||
11583.8 | + | 35651.1i | 0.449857 | + | 1.38452i | |||||
0 | 0 | |||||||||
−3774.94 | − | 2742.66i | −0.146098 | − | 0.106146i | |||||
8148.09 | + | 5919.93i | 0.314806 | + | 0.228720i | |||||
0 | 0 | |||||||||
−4644.26 | − | 14293.6i | −0.178820 | − | 0.550352i | 0.820967 | − | 0.570976i | ||
−0.999787 | + | 0.0206233i | ||||||||
−20087.5 | + | 14594.4i | −0.772117 | + | 0.560976i | |||||
0 | 0 | |||||||||
119.461 | − | 158.242i | 0.00457615 | − | 0.00606176i | |||||
41424.1 | 1.58412 | 0.792062 | − | 0.610440i | ||||||
0.792062 | + | 0.610440i | ||||||||
0 | 0 | |||||||||
−9718.72 | − | 29911.2i | −0.370398 | − | 1.13997i | −0.946532 | − | 0.322611i | ||
0.576134 | − | 0.817355i | ||||||||
708.107 | − | 2179.33i | 0.0269414 | − | 0.0829172i | |||||
0 | 0 | |||||||||
−5125.28 | − | 3723.73i | −0.194342 | − | 0.141198i | |||||
3774.50 | − | 11616.7i | 0.142881 | − | 0.439742i | −0.853851 | − | 0.520517i | ||
0.996732 | + | 0.0807744i | ||||||||
0 | 0 | |||||||||
18856.2 | − | 13699.8i | 0.711379 | − | 0.516847i | |||||
9361.46 | 0.352581 | |||||||||
0 | 0 | |||||||||
4861.22 | 0.182473 | |||||||||
−16034.8 | + | 11650.0i | −0.600878 | + | 0.436564i | |||||
0 | 0 | |||||||||
−6168.89 | + | 18985.9i | −0.230395 | + | 0.709082i | |||||
7079.49 | + | 5143.55i | 0.263961 | + | 0.191779i | |||||
0 | 0 | |||||||||
1756.97 | − | 5407.39i | 0.0652904 | − | 0.200943i | |||||
2953.12 | + | 9088.78i | 0.109557 | + | 0.337183i | |||||
0 | 0 | |||||||||
48517.4 | 1.79395 | |||||||||
212.949 | − | 11619.4i | 0.00786078 | − | 0.428917i | |||||
0 | 0 | |||||||||
25946.9 | − | 18851.6i | 0.954626 | − | 0.693577i | |||||
1758.84 | + | 5413.16i | 0.0646032 | + | 0.198828i | |||||
0 | 0 | |||||||||
−9356.29 | − | 6797.74i | −0.342525 | − | 0.248859i | 0.403201 | − | 0.915111i | ||
−0.745727 | + | 0.666252i | ||||||||
−12145.5 | − | 8824.25i | −0.443903 | − | 0.322514i | |||||
0 | 0 | |||||||||
−127.221 | − | 391.545i | −0.00463442 | − | 0.0142633i | |||||
22625.1 | − | 16438.1i | 0.822836 | − | 0.597826i | −0.0946871 | − | 0.995507i | ||
0.917524 | + | 0.397681i | ||||||||
0 | 0 | |||||||||
−658.784 | + | 35946.0i | −0.0238801 | + | 1.30300i | |||||
12934.9 | 0.468104 | |||||||||
0 | 0 | |||||||||
124.880 | + | 384.342i | 0.00450454 | + | 0.0138635i | |||||
4942.08 | − | 15210.2i | 0.177974 | − | 0.547747i | |||||
0 | 0 | |||||||||
−36164.5 | − | 26275.1i | −1.29810 | − | 0.943128i | −0.298170 | − | 0.954513i | ||
−0.999935 | + | 0.0113846i | ||||||||
−1724.78 | + | 5308.33i | −0.0618090 | + | 0.190229i | |||||
0 | 0 | |||||||||
−22494.6 | + | 16343.3i | −0.803494 | + | 0.583773i | |||||
−4934.53 | −0.175972 | |||||||||
0 | 0 | |||||||||
15687.2 | 0.557614 | |||||||||
−11658.2 | + | 8470.16i | −0.413727 | + | 0.300591i | |||||
0 | 0 | |||||||||
−6418.19 | + | 19753.2i | −0.227034 | + | 0.698739i | |||||
−532.665 | − | 387.004i | −0.0188118 | − | 0.0136676i | 0.578340 | − | 0.815796i | ||
−0.597151 | + | 0.802129i | ||||||||
0 | 0 | |||||||||
3996.10 | − | 12298.7i | 0.140673 | − | 0.432948i | |||||
3793.42 | + | 11674.9i | 0.133324 | + | 0.410328i | |||||
0 | 0 | |||||||||
−30605.6 | −1.07221 | |||||||||
−8731.82 | + | 11566.5i | −0.305413 | + | 0.404563i | |||||
0 | 0 | |||||||||
−14039.2 | + | 10200.1i | −0.489479 | + | 0.355627i | −0.804984 | − | 0.593297i | ||
0.315505 | + | 0.948924i | ||||||||
3069.98 | + | 9448.42i | 0.106864 | + | 0.328893i | |||||
0 | 0 | |||||||||
7385.27 | + | 5365.71i | 0.256256 | + | 0.186181i | |||||
−14197.6 | − | 10315.1i | −0.491847 | − | 0.357348i | 0.314047 | − | 0.949407i | ||
−0.805894 | + | 0.592060i | ||||||||
0 | 0 | |||||||||
−3016.39 | − | 9283.49i | −0.104165 | − | 0.320585i | |||||
74.2986 | − | 53.9811i | 0.00256167 | − | 0.00186116i | |||||
0 | 0 | |||||||||
−2772.35 | − | 957.300i | −0.0952820 | − | 0.0329012i | |||||
−27129.0 | −0.930912 | −0.465456 | − | 0.885071i | ||||||
−0.465456 | + | 0.885071i | ||||||||
0 | 0 | |||||||||
1004.15 | + | 3090.45i | 0.0343478 | + | 0.105712i | |||||
−2804.72 | + | 8632.05i | −0.0957866 | + | 0.294801i | |||||
0 | 0 | |||||||||
−14570.3 | − | 10585.9i | −0.496035 | − | 0.360390i | |||||
−11526.6 | + | 35475.1i | −0.391797 | + | 1.20583i | 0.539631 | + | 0.841901i | ||
−0.931428 | + | 0.363925i | ||||||||
0 | 0 | |||||||||
−16899.1 | + | 12277.9i | −0.572609 | + | 0.416025i | |||||
458.080 | 0.0154972 | |||||||||
0 | 0 | |||||||||
13709.6 | 0.462357 | |||||||||
9713.89 | − | 7057.55i | 0.327088 | − | 0.237644i | |||||
0 | 0 | |||||||||
−7039.00 | + | 21663.8i | −0.236279 | + | 0.727193i | |||||
−1147.83 | − | 833.946i | −0.0384693 | − | 0.0279496i | |||||
0 | 0 | |||||||||
−293.067 | + | 901.967i | −0.00979154 | + | 0.0301353i | |||||
−7034.56 | − | 21650.2i | −0.234664 | − | 0.722221i | |||||
0 | 0 | |||||||||
48055.1 | 1.59809 | 0.799043 | − | 0.601274i | ||||||
0.799043 | + | 0.601274i | ||||||||
−29925.5 | − | 1097.26i | −0.993637 | − | 0.0364331i | |||||
0 | 0 | |||||||||
−3875.11 | + | 2815.43i | −0.128270 | + | 0.0931939i | |||||
−11666.7 | − | 35906.3i | −0.385583 | − | 1.18670i | −0.936056 | − | 0.351850i | ||
0.550473 | − | 0.834853i | ||||||||
0 | 0 | |||||||||
24675.9 | + | 17928.1i | 0.813025 | + | 0.590698i | |||||
−3840.00 | − | 2789.93i | −0.126326 | − | 0.0917813i | |||||
0 | 0 | |||||||||
259.220 | + | 797.796i | 0.00850145 | + | 0.0261648i | |||||
24275.8 | − | 17637.4i | 0.794935 | − | 0.577554i | −0.114489 | − | 0.993425i | ||
0.909424 | + | 0.415870i | ||||||||
0 | 0 | |||||||||
24167.1 | + | 34578.3i | 0.788951 | + | 1.12883i | |||||
−5956.03 | −0.194141 | |||||||||
0 | 0 | |||||||||
−7353.98 | − | 22633.2i | −0.238977 | − | 0.735494i | |||||
−11384.0 | + | 35036.3i | −0.369372 | + | 1.13681i | 0.577825 | + | 0.816161i | ||
−0.947198 | + | 0.320651i | ||||||||
0 | 0 | |||||||||
4098.00 | + | 2977.37i | 0.132562 | + | 0.0963117i | |||||
5175.68 | − | 15929.1i | 0.167168 | − | 0.514489i | |||||
0 | 0 | |||||||||
−1112.14 | + | 808.015i | −0.0358115 | + | 0.0260186i | |||||
−2463.53 | −0.0792069 | |||||||||
0 | 0 | |||||||||
22406.6 | 0.718233 | 0.359117 | − | 0.933293i | ||||||
0.359117 | + | 0.933293i | ||||||||
12329.7 | − | 8958.03i | 0.394624 | − | 0.286711i | |||||
0 | 0 | |||||||||
−4614.50 | + | 14202.0i | −0.147247 | + | 0.453179i | |||||
13268.3 | + | 9640.01i | 0.422748 | + | 0.307145i | |||||
0 | 0 | |||||||||
5913.47 | − | 18199.8i | 0.187845 | − | 0.578127i | −0.812141 | − | 0.583462i | ||
0.999986 | + | 0.00533409i | ||||||||
−5682.21 | − | 17488.0i | −0.180228 | − | 0.554684i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 99.4.f.e.91.4 | yes | 24 | |
3.2 | odd | 2 | inner | 99.4.f.e.91.3 | yes | 24 | |
11.2 | odd | 10 | 1089.4.a.bl.1.8 | 12 | |||
11.4 | even | 5 | inner | 99.4.f.e.37.4 | yes | 24 | |
11.9 | even | 5 | 1089.4.a.bm.1.5 | 12 | |||
33.2 | even | 10 | 1089.4.a.bl.1.5 | 12 | |||
33.20 | odd | 10 | 1089.4.a.bm.1.8 | 12 | |||
33.26 | odd | 10 | inner | 99.4.f.e.37.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.4.f.e.37.3 | ✓ | 24 | 33.26 | odd | 10 | inner | |
99.4.f.e.37.4 | yes | 24 | 11.4 | even | 5 | inner | |
99.4.f.e.91.3 | yes | 24 | 3.2 | odd | 2 | inner | |
99.4.f.e.91.4 | yes | 24 | 1.1 | even | 1 | trivial | |
1089.4.a.bl.1.5 | 12 | 33.2 | even | 10 | |||
1089.4.a.bl.1.8 | 12 | 11.2 | odd | 10 | |||
1089.4.a.bm.1.5 | 12 | 11.9 | even | 5 | |||
1089.4.a.bm.1.8 | 12 | 33.20 | odd | 10 |