Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [250,4,Mod(49,250)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(250, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("250.49");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 250.e (of order , degree , not 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: | no (minimal twist has level 50) |
Sato-Tate group: |
Embedding invariants
Embedding label | 99.7 | ||
Character | 250.99 | ||
Dual form | 250.4.e.c.149.7 |
-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 .
1.90211 | − | 0.618034i | 0.672499 | − | 0.218508i | |||||
2.58496 | + | 3.55790i | 0.497476 | + | 0.684717i | 0.981745 | − | 0.190202i | ||
−0.484269 | + | 0.874919i | ||||||||
3.23607 | − | 2.35114i | 0.404508 | − | 0.293893i | |||||
0 | 0 | |||||||||
7.11579 | + | 5.16993i | 0.484168 | + | 0.351769i | |||||
− | 32.4633i | − | 1.75285i | −0.481537 | − | 0.876426i | ||||
0.481537 | − | 0.876426i | ||||||||
4.70228 | − | 6.47214i | 0.207813 | − | 0.286031i | |||||
2.36687 | − | 7.28447i | 0.0876618 | − | 0.269795i | |||||
0 | 0 | |||||||||
−13.6751 | − | 42.0875i | −0.374835 | − | 1.15362i | −0.943590 | − | 0.331117i | ||
0.568754 | − | 0.822507i | ||||||||
16.7302 | + | 5.43598i | 0.402467 | + | 0.130769i | |||||
−18.8504 | − | 6.12486i | −0.402166 | − | 0.130672i | 0.100948 | − | 0.994892i | ||
−0.503114 | + | 0.864220i | ||||||||
−20.0634 | − | 61.7488i | −0.383012 | − | 1.17879i | |||||
0 | 0 | |||||||||
4.94427 | − | 15.2169i | 0.0772542 | − | 0.237764i | |||||
−48.4207 | + | 66.6454i | −0.690809 | + | 0.950817i | −1.00000 | 0.000182954i | |||
0.309191 | + | 0.951000i | ||||||||
− | 15.3187i | − | 0.200592i | |||||||
8.36319 | + | 6.07621i | 0.100981 | + | 0.0733673i | 0.637130 | − | 0.770756i | ||
−0.536149 | + | 0.844124i | ||||||||
0 | 0 | |||||||||
115.501 | − | 83.9163i | 1.20021 | − | 0.872002i | |||||
−52.0231 | − | 71.6036i | −0.504152 | − | 0.693906i | |||||
184.908 | − | 60.0803i | 1.67635 | − | 0.544678i | 0.692151 | − | 0.721753i | ||
0.984197 | + | 0.177075i | ||||||||
35.1824 | 0.299232 | |||||||||
0 | 0 | |||||||||
−39.6409 | −0.299009 | |||||||||
144.965 | − | 47.1019i | 1.03328 | − | 0.335732i | |||||
−76.3257 | − | 105.053i | −0.515150 | − | 0.709043i | |||||
−159.317 | + | 115.751i | −1.02016 | + | 0.741186i | −0.966315 | − | 0.257363i | ||
−0.0538405 | + | 0.998550i | ||||||||
0 | 0 | |||||||||
68.1740 | + | 49.5313i | 0.394981 | + | 0.286970i | 0.767493 | − | 0.641057i | ||
−0.372513 | + | 0.928027i | ||||||||
− | 32.0000i | − | 0.176777i | |||||||
114.394 | − | 157.449i | 0.603435 | − | 0.830557i | |||||
−50.9126 | + | 156.693i | −0.256807 | + | 0.790370i | |||||
0 | 0 | |||||||||
−9.46747 | − | 29.1379i | −0.0438309 | − | 0.134898i | |||||
218.389 | + | 70.9588i | 0.970348 | + | 0.315285i | 0.750956 | − | 0.660352i | ||
0.219391 | + | 0.975637i | ||||||||
19.6630 | + | 6.38891i | 0.0839412 | + | 0.0272741i | |||||
−26.9359 | − | 82.9003i | −0.110595 | − | 0.340376i | |||||
0 | 0 | |||||||||
−6.39296 | + | 19.6755i | −0.0243515 | + | 0.0749463i | −0.962494 | − | 0.271304i | ||
0.938142 | + | 0.346250i | ||||||||
167.833 | − | 231.002i | 0.616599 | − | 0.848675i | |||||
− | 36.8678i | − | 0.130751i | −0.997861 | − | 0.0653753i | ||||
0.997861 | − | 0.0653753i | ||||||||
−143.207 | − | 104.046i | −0.490666 | − | 0.356490i | |||||
0 | 0 | |||||||||
314.584 | − | 228.559i | 1.00832 | − | 0.732591i | |||||
249.612 | + | 343.561i | 0.774673 | + | 1.06625i | 0.995850 | + | 0.0910123i | ||
−0.221177 | + | 0.975234i | ||||||||
66.9209 | − | 21.7439i | 0.201233 | − | 0.0653847i | |||||
−710.864 | −2.07249 | |||||||||
0 | 0 | |||||||||
−362.283 | −0.994702 | |||||||||
−75.4016 | + | 24.4995i | −0.201083 | + | 0.0653358i | |||||
3.07504 | + | 4.23242i | 0.00796960 | + | 0.0109692i | 0.812983 | − | 0.582287i | ||
−0.805014 | + | 0.593256i | ||||||||
246.629 | − | 179.186i | 0.621517 | − | 0.451558i | |||||
0 | 0 | |||||||||
−210.107 | − | 152.651i | −0.501369 | − | 0.364266i | |||||
45.4621i | 0.105642i | |||||||||
−231.502 | + | 318.635i | −0.524098 | + | 0.721359i | |||||
−16.0299 | + | 49.3350i | −0.0353715 | + | 0.108862i | −0.967183 | − | 0.254079i | ||
0.931812 | + | 0.362942i | ||||||||
0 | 0 | |||||||||
−38.3804 | − | 118.123i | −0.0805592 | − | 0.247936i | 0.902663 | − | 0.430348i | ||
−0.983222 | + | 0.182413i | ||||||||
160.287 | + | 52.0803i | 0.328329 | + | 0.106681i | |||||
−236.478 | − | 76.8363i | −0.472911 | − | 0.153658i | |||||
−19.7771 | − | 60.8676i | −0.0386271 | − | 0.118882i | |||||
0 | 0 | |||||||||
120.280 | − | 370.185i | 0.224326 | − | 0.690404i | |||||
457.984 | − | 630.360i | 0.835098 | − | 1.14941i | −0.151854 | − | 0.988403i | ||
0.986953 | − | 0.161011i | ||||||||
329.513i | 0.587637i | |||||||||
691.740 | + | 502.578i | 1.20689 | + | 0.876860i | |||||
0 | 0 | |||||||||
−496.268 | + | 360.560i | −0.829523 | + | 0.602684i | −0.919424 | − | 0.393267i | ||
0.0899013 | + | 0.995951i | ||||||||
−36.0164 | − | 49.5723i | −0.0589524 | − | 0.0811411i | |||||
863.608 | − | 280.603i | 1.38463 | − | 0.449892i | 0.480439 | − | 0.877028i | ||
0.904187 | + | 0.427136i | ||||||||
459.255 | 0.721450 | |||||||||
0 | 0 | |||||||||
41.3499 | 0.0624099 | |||||||||
−1366.30 | + | 443.937i | −2.02213 | + | 0.657031i | |||||
−102.470 | − | 141.038i | −0.148750 | − | 0.204737i | |||||
−500.100 | + | 363.344i | −0.712224 | + | 0.517461i | −0.883890 | − | 0.467694i | ||
0.171667 | + | 0.985155i | ||||||||
0 | 0 | |||||||||
375.005 | + | 272.457i | 0.514411 | + | 0.373741i | |||||
41.3761i | 0.0557223i | |||||||||
−265.719 | + | 365.730i | −0.351403 | + | 0.483664i | −0.947728 | − | 0.319078i | ||
0.596326 | + | 0.802743i | ||||||||
176.470 | − | 543.118i | 0.229219 | − | 0.705465i | |||||
0 | 0 | |||||||||
−22.7855 | − | 70.1266i | −0.0285701 | − | 0.0879296i | |||||
−823.659 | − | 267.623i | −1.01501 | − | 0.329795i | |||||
−336.700 | − | 109.401i | −0.407868 | − | 0.132524i | |||||
−266.987 | − | 821.703i | −0.317984 | − | 0.978656i | −0.974509 | − | 0.224350i | ||
0.656524 | − | 0.754305i | ||||||||
0 | 0 | |||||||||
−198.833 | + | 611.945i | −0.229048 | + | 0.704937i | |||||
457.118 | − | 629.169i | 0.518020 | − | 0.712993i | |||||
370.592i | 0.413211i | |||||||||
687.123 | + | 499.224i | 0.753950 | + | 0.547777i | |||||
0 | 0 | |||||||||
113.853 | − | 82.7188i | 0.121042 | − | 0.0879422i | |||||
384.094 | + | 528.660i | 0.402050 | + | 0.553374i | 0.961257 | − | 0.275654i | ||
−0.559207 | + | 0.829028i | ||||||||
−1352.14 | + | 439.338i | −1.39375 | + | 0.452856i | |||||
−338.953 | −0.344101 | |||||||||
0 | 0 | |||||||||
684.563 | 0.674421 | 0.337211 | − | 0.941429i | ||||||
0.337211 | + | 0.941429i | ||||||||
−689.104 | + | 223.903i | −0.668936 | + | 0.217350i | |||||
−2.26783 | − | 3.12140i | −0.00216948 | − | 0.00298603i | 0.807931 | − | 0.589277i | ||
−0.810100 | + | 0.586291i | ||||||||
−128.281 | + | 93.2015i | −0.120952 | + | 0.0878765i | |||||
0 | 0 | |||||||||
8.46485 | + | 6.15007i | 0.00775640 | + | 0.00563536i | |||||
1045.89i | 0.944951i | 0.881344 | + | 0.472476i | ||||||
−0.881344 | + | 0.472476i | ||||||||
358.372 | − | 493.257i | 0.319300 | − | 0.439479i | |||||
356.163 | − | 1096.16i | 0.312974 | − | 0.963236i | −0.663606 | − | 0.748082i | ||
0.976580 | − | 0.215153i | ||||||||
0 | 0 | |||||||||
312.063 | + | 960.430i | 0.266844 | + | 0.821261i | |||||
−493.990 | − | 160.507i | −0.416765 | − | 0.135415i | |||||
129.218 | + | 41.9853i | 0.107573 | + | 0.0349526i | 0.362309 | − | 0.932058i | ||
−0.254736 | + | 0.967011i | ||||||||
28.0971 | + | 86.4741i | 0.0230837 | + | 0.0710442i | |||||
0 | 0 | |||||||||
−243.415 | + | 749.155i | −0.194832 | + | 0.599632i | |||||
−89.2328 | + | 122.818i | −0.0705092 | + | 0.0970476i | |||||
103.748i | 0.0809387i | |||||||||
2163.53 | + | 1571.90i | 1.66664 | + | 1.21089i | |||||
0 | 0 | |||||||||
−507.551 | + | 368.758i | −0.381331 | + | 0.277053i | |||||
−146.008 | − | 200.963i | −0.108352 | − | 0.149134i | |||||
−86.5290 | + | 28.1150i | −0.0634314 | + | 0.0206101i | |||||
337.071 | 0.244112 | |||||||||
0 | 0 | |||||||||
−497.295 | −0.351608 | |||||||||
−1556.36 | + | 505.692i | −1.08744 | + | 0.353330i | −0.797256 | − | 0.603641i | ||
−0.290182 | + | 0.956971i | ||||||||
−75.2365 | − | 103.554i | −0.0519534 | − | 0.0715077i | |||||
131.172 | − | 95.3018i | 0.0895273 | − | 0.0650454i | |||||
0 | 0 | |||||||||
874.934 | + | 635.677i | 0.583537 | + | 0.423964i | 0.839997 | − | 0.542590i | ||
−0.256461 | + | 0.966555i | ||||||||
− | 778.471i | − | 0.513312i | |||||||
197.254 | − | 271.496i | 0.128602 | − | 0.177005i | |||||
481.552 | − | 1482.07i | 0.310446 | − | 0.955455i | |||||
0 | 0 | |||||||||
203.650 | + | 626.771i | 0.128403 | + | 0.395185i | |||||
2204.47 | + | 716.275i | 1.37475 | + | 0.446683i | 0.900939 | − | 0.433945i | ||
0.473809 | + | 0.880628i | ||||||||
1626.38 | + | 528.442i | 1.00324 | + | 0.325971i | |||||
327.762 | + | 1008.75i | 0.200003 | + | 0.615546i | 0.999882 | + | 0.0153844i | ||
−0.799879 | + | 0.600162i | ||||||||
0 | 0 | |||||||||
−577.118 | + | 1776.19i | −0.344696 | + | 1.06086i | |||||
−721.119 | + | 992.535i | −0.426162 | + | 0.586561i | |||||
877.124i | 0.512929i | |||||||||
−99.1447 | − | 72.0328i | −0.0573754 | − | 0.0416857i | |||||
0 | 0 | |||||||||
1469.26 | − | 1067.48i | 0.832854 | − | 0.605104i | |||||
−1837.56 | − | 2529.18i | −1.03101 | − | 1.41907i | |||||
873.554 | − | 283.835i | 0.485174 | − | 0.157643i | |||||
1830.45 | 1.00642 | 0.503209 | − | 0.864165i | ||||||
0.503209 | + | 0.864165i | ||||||||
0 | 0 | |||||||||
−1585.52 | −0.854491 | −0.427246 | − | 0.904136i | ||||||
−0.427246 | + | 0.904136i | ||||||||
78.6521 | − | 25.5556i | 0.0419706 | − | 0.0136371i | |||||
370.871 | + | 510.460i | 0.195968 | + | 0.269727i | |||||
−2324.49 | + | 1688.84i | −1.21631 | + | 0.883704i | |||||
0 | 0 | |||||||||
−282.077 | − | 204.941i | −0.144771 | − | 0.105182i | |||||
1535.51i | 0.780554i | 0.920698 | + | 0.390277i | ||||||
−0.920698 | + | 0.390277i | ||||||||
−726.688 | + | 1000.20i | −0.365900 | + | 0.503618i | |||||
−7.10967 | + | 21.8813i | −0.00354612 | + | 0.0109138i | |||||
0 | 0 | |||||||||
−1950.40 | − | 6002.72i | −0.954741 | − | 2.93839i | |||||
881.690 | + | 286.479i | 0.427606 | + | 0.138938i | |||||
−1593.69 | − | 517.820i | −0.765811 | − | 0.248827i | −0.100040 | − | 0.994983i | ||
−0.665771 | + | 0.746156i | ||||||||
25.5719 | + | 78.7021i | 0.0121758 | + | 0.0374732i | |||||
0 | 0 | |||||||||
−279.393 | + | 859.884i | −0.130633 | + | 0.402048i | |||||
1209.69 | − | 1664.99i | 0.560530 | − | 0.771503i | −0.430864 | − | 0.902417i | ||
0.991394 | + | 0.130914i | ||||||||
− | 1142.14i | − | 0.524510i | |||||||
−1459.59 | − | 1060.45i | −0.664355 | − | 0.482682i | |||||
0 | 0 | |||||||||
64.0566 | − | 46.5398i | 0.0286464 | − | 0.0208128i | |||||
−86.6813 | − | 119.307i | −0.0384267 | − | 0.0528898i | |||||
−4099.10 | + | 1331.88i | −1.80144 | + | 0.585323i | −0.999920 | − | 0.0126483i | ||
−0.801518 | + | 0.597971i | ||||||||
−1732.09 | −0.754653 | |||||||||
0 | 0 | |||||||||
−708.055 | −0.303248 | |||||||||
−216.966 | + | 70.4964i | −0.0921364 | + | 0.0299369i | |||||
−1015.68 | − | 1397.96i | −0.427688 | − | 0.588662i | |||||
−2202.60 | + | 1600.28i | −0.919719 | + | 0.668215i | −0.943454 | − | 0.331503i | ||
0.0237350 | + | 0.999718i | ||||||||
0 | 0 | |||||||||
1056.07 | + | 767.281i | 0.433686 | + | 0.315091i | 0.783121 | − | 0.621869i | ||
−0.349435 | + | 0.936961i | ||||||||
1286.87i | 0.524118i | |||||||||
321.057 | − | 441.897i | 0.129690 | − | 0.178502i | |||||
480.642 | − | 1479.26i | 0.192573 | − | 0.592679i | |||||
0 | 0 | |||||||||
229.039 | + | 704.909i | 0.0902900 | + | 0.277884i | |||||
3467.10 | + | 1126.53i | 1.35583 | + | 0.440534i | |||||
1615.52 | + | 524.915i | 0.626724 | + | 0.203635i | |||||
−1529.08 | − | 4706.03i | −0.588488 | − | 1.81118i | |||||
0 | 0 | |||||||||
1225.39 | − | 3771.37i | 0.464221 | − | 1.42872i | −0.395739 | − | 0.918363i | ||
0.859960 | − | 0.510362i | ||||||||
165.438 | − | 227.705i | 0.0621845 | − | 0.0855897i | |||||
− | 1941.18i | − | 0.723986i | −0.932181 | − | 0.361993i | ||||
0.932181 | − | 0.361993i | ||||||||
1057.32 | + | 768.188i | 0.391295 | + | 0.284292i | |||||
0 | 0 | |||||||||
−2300.40 | + | 1671.34i | −0.838340 | + | 0.609089i | |||||
−1186.45 | − | 1633.01i | −0.429092 | − | 0.590595i | 0.538652 | − | 0.842528i | ||
−0.967745 | + | 0.251933i | ||||||||
−644.726 | + | 209.484i | −0.231408 | + | 0.0751889i | |||||
−985.509 | −0.351060 | −0.175530 | − | 0.984474i | ||||||
−0.175530 | + | 0.984474i | ||||||||
0 | 0 | |||||||||
3426.63 | 1.20247 | |||||||||
1302.12 | − | 423.083i | 0.453547 | − | 0.147366i | |||||
3757.65 | + | 5171.96i | 1.29919 | + | 1.78818i | |||||
−1172.37 | + | 851.779i | −0.402365 | + | 0.292336i | |||||
0 | 0 | |||||||||
−6.24281 | − | 4.53567i | −0.00211144 | − | 0.00153405i | |||||
− | 1489.16i | − | 0.500018i | |||||||
−186.403 | + | 256.562i | −0.0621381 | + | 0.0855257i | |||||
141.366 | − | 435.079i | 0.0467869 | − | 0.143995i | |||||
0 | 0 | |||||||||
1338.94 | + | 4120.84i | 0.436856 | + | 1.34450i | 0.891173 | + | 0.453664i | ||
−0.454317 | + | 0.890840i | ||||||||
19.9021 | + | 6.46657i | 0.00644754 | + | 0.00209493i | |||||
−2565.67 | − | 833.636i | −0.825336 | − | 0.268168i | |||||
646.394 | + | 1989.40i | 0.206479 | + | 0.635478i | |||||
0 | 0 | |||||||||
376.815 | − | 1159.72i | 0.118699 | − | 0.365318i | |||||
1607.95 | − | 2213.15i | 0.503017 | − | 0.692343i | |||||
− | 2305.13i | − | 0.716162i | |||||||
3230.75 | + | 2347.28i | 0.996868 | + | 0.724267i | |||||
0 | 0 | |||||||||
1320.94 | − | 959.722i | 0.402065 | − | 0.292117i | |||||
1187.16 | + | 1633.98i | 0.358904 | + | 0.493989i | |||||
4943.88 | − | 1606.36i | 1.48460 | − | 0.482377i | 0.549119 | − | 0.835744i | ||
0.935485 | + | 0.353367i | ||||||||
−1038.82 | −0.309863 | |||||||||
0 | 0 | |||||||||
271.735 | 0.0799802 | |||||||||
3561.42 | − | 1157.17i | 1.04132 | − | 0.338345i | 0.262064 | − | 0.965051i | ||
0.779256 | + | 0.626705i | ||||||||
106.888 | + | 147.119i | 0.0310475 | + | 0.0427332i | |||||
−3401.89 | + | 2471.62i | −0.981673 | + | 0.713227i | −0.958082 | − | 0.286494i | ||
−0.0235912 | + | 0.999722i | ||||||||
0 | 0 | |||||||||
−5111.31 | − | 3713.59i | −1.45584 | − | 1.05773i | |||||
1575.42i | 0.445824i | |||||||||
3653.09 | − | 5028.05i | 1.02713 | − | 1.41373i | 0.120055 | − | 0.992767i | ||
0.907079 | − | 0.420961i | ||||||||
−93.8249 | + | 288.763i | −0.0262116 | + | 0.0806712i | |||||
0 | 0 | |||||||||
64.1197 | + | 197.340i | 0.0176857 | + | 0.0544311i | |||||
−2585.48 | − | 840.073i | −0.708629 | − | 0.230247i | |||||
5086.76 | + | 1652.79i | 1.38540 | + | 0.450144i | |||||
−262.864 | − | 809.011i | −0.0711432 | − | 0.218956i | 0.909163 | − | 0.416441i | ||
−0.980306 | + | 0.197485i | ||||||||
0 | 0 | |||||||||
1457.32 | − | 4485.16i | 0.389518 | − | 1.19881i | −0.543631 | − | 0.839325i | ||
0.933149 | − | 0.359490i | ||||||||
−737.515 | + | 1015.10i | −0.195906 | + | 0.269642i | |||||
− | 2076.95i | − | 0.548298i | |||||||
−401.925 | − | 292.016i | −0.105453 | − | 0.0766164i | |||||
0 | 0 | |||||||||
−147.212 | + | 106.956i | −0.0381540 | + | 0.0277205i | |||||
−120.433 | − | 165.762i | −0.0310243 | − | 0.0427012i | |||||
641.146 | − | 208.321i | 0.164165 | − | 0.0533403i | |||||
−1988.10 | −0.505988 | |||||||||
0 | 0 | |||||||||
619.865 | 0.155879 | 0.0779393 | − | 0.996958i | ||||||
0.0779393 | + | 0.996958i | ||||||||
−945.911 | + | 307.345i | −0.236456 | + | 0.0768291i | |||||
−5057.26 | − | 6960.72i | −1.25671 | − | 1.72971i | |||||
−2647.84 | + | 1923.77i | −0.654095 | + | 0.475228i | |||||
0 | 0 | |||||||||
−207.108 | − | 150.473i | −0.0505636 | − | 0.0367366i | |||||
3006.52i | 0.729733i | 0.931060 | + | 0.364867i | ||||||
−0.931060 | + | 0.364867i | ||||||||
190.604 | − | 262.343i | 0.0459940 | − | 0.0633053i | |||||
2303.55 | − | 7089.61i | 0.552648 | − | 1.70088i | |||||
0 | 0 | |||||||||
466.101 | + | 1434.51i | 0.110540 | + | 0.340207i | |||||
2057.09 | + | 668.390i | 0.485067 | + | 0.157608i | |||||
458.796 | + | 149.072i | 0.107569 | + | 0.0349512i | 0.362307 | − | 0.932059i | ||
−0.254738 | + | 0.967010i | ||||||||
−481.122 | − | 1480.74i | −0.112163 | − | 0.345202i | |||||
0 | 0 | |||||||||
207.405 | − | 638.326i | 0.0478075 | − | 0.147136i | |||||
2233.38 | − | 3073.99i | 0.511913 | − | 0.704587i | |||||
− | 3116.67i | − | 0.710377i | |||||||
4209.63 | + | 3058.48i | 0.954148 | + | 0.693229i | 0.951784 | − | 0.306768i | ||
0.00236368 | + | 0.999997i | ||||||||
0 | 0 | |||||||||
1750.36 | − | 1271.71i | 0.392351 | − | 0.285059i | −0.374067 | − | 0.927402i | ||
0.766418 | + | 0.642342i | ||||||||
774.732 | + | 1066.33i | 0.172702 | + | 0.237704i | |||||
−2691.21 | + | 874.428i | −0.596629 | + | 0.193856i | |||||
4635.83 | 1.02212 | |||||||||
0 | 0 | |||||||||
3420.15 | 0.745902 | |||||||||
−4746.99 | + | 1542.39i | −1.02967 | + | 0.334561i | −0.774660 | − | 0.632377i | ||
−0.255011 | + | 0.966938i | ||||||||
1246.88 | + | 1716.19i | 0.269004 | + | 0.370252i | |||||
522.168 | − | 379.377i | 0.112048 | − | 0.0814076i | |||||
0 | 0 | |||||||||
−355.968 | − | 258.626i | −0.0755704 | − | 0.0549051i | 0.549359 | − | 0.835587i | ||
−0.624929 | + | 0.780682i | ||||||||
3735.19i | 0.788748i | |||||||||
−2136.86 | + | 2941.14i | −0.448845 | + | 0.617783i | −0.972149 | − | 0.234364i | ||
0.523304 | + | 0.852146i | ||||||||
−758.229 | + | 2333.59i | −0.158425 | + | 0.487581i | |||||
0 | 0 | |||||||||
542.093 | + | 1668.39i | 0.112079 | + | 0.344944i | |||||
638.732 | + | 207.537i | 0.131370 | + | 0.0426846i | |||||
−233.103 | − | 75.7398i | −0.0476935 | − | 0.0154966i | |||||
−578.844 | − | 1781.50i | −0.117819 | − | 0.362609i | |||||
0 | 0 | |||||||||
−888.049 | + | 2733.13i | −0.178895 | + | 0.550581i | |||||
2134.96 | − | 2938.52i | 0.427873 | − | 0.588917i | |||||
7040.42i | 1.40377i | 0.712288 | + | 0.701887i | ||||||
−0.712288 | + | 0.701887i | ||||||||
−5058.36 | − | 3675.11i | −1.00343 | − | 0.729037i | |||||
0 | 0 | |||||||||
1486.18 | − | 1079.77i | 0.291833 | − | 0.212029i | |||||
−3964.80 | − | 5457.09i | −0.774617 | − | 1.06617i | |||||
3481.72 | − | 1131.28i | 0.676815 | − | 0.219911i | |||||
−3853.57 | −0.745344 | |||||||||
0 | 0 | |||||||||
−1196.85 | −0.229187 | |||||||||
−3015.85 | + | 979.908i | −0.574644 | + | 0.186713i | |||||
1769.57 | + | 2435.60i | 0.335509 | + | 0.461788i | |||||
133.811 | − | 97.2194i | 0.0252454 | − | 0.0183418i | |||||
0 | 0 | |||||||||
1020.92 | + | 741.742i | 0.190726 | + | 0.138571i | |||||
− | 3985.50i | − | 0.740927i | −0.928847 | − | 0.370463i | ||||
0.928847 | − | 0.370463i | ||||||||
−3377.68 | + | 4648.97i | −0.624873 | + | 0.860064i | |||||
5.24337 | − | 16.1374i | 0.000965323 | − | 0.00297096i | |||||
0 | 0 | |||||||||
1984.51 | + | 6107.70i | 0.361837 | + | 1.11362i | 0.951938 | + | 0.306290i | ||
−0.590101 | + | 0.807329i | ||||||||
−663.202 | − | 215.487i | −0.120341 | − | 0.0391012i | |||||
−6592.67 | − | 2142.09i | −1.19054 | − | 0.386831i | −0.354269 | − | 0.935143i | ||
−0.836273 | + | 0.548313i | ||||||||
948.996 | + | 2920.71i | 0.170557 | + | 0.524921i | |||||
0 | 0 | |||||||||
−764.085 | + | 2351.61i | −0.136023 | + | 0.418634i | |||||
−3884.35 | + | 5346.35i | −0.688223 | + | 0.947258i | −0.999996 | − | 0.00289895i | ||
0.311773 | + | 0.950157i | ||||||||
46.0148i | 0.00811440i | |||||||||
7050.35 | + | 5122.38i | 1.23744 | + | 0.899053i | |||||
0 | 0 | |||||||||
−3721.16 | + | 2703.58i | −0.647024 | + | 0.470091i | |||||
−7419.77 | − | 10212.4i | −1.28412 | − | 1.76744i | |||||
−809.903 | + | 263.154i | −0.139518 | + | 0.0453321i | |||||
1854.13 | 0.317923 | |||||||||
0 | 0 | |||||||||
−3351.40 | −0.569378 | |||||||||
4820.68 | − | 1566.33i | 0.815241 | − | 0.264888i | |||||
97.2811 | + | 133.896i | 0.0163764 | + | 0.0225401i | |||||
11153.1 | − | 8103.22i | 1.86897 | − | 1.35789i | |||||
0 | 0 | |||||||||
3033.15 | + | 2203.71i | 0.503676 | + | 0.365942i | 0.810420 | − | 0.585850i | ||
−0.306743 | + | 0.951792i | ||||||||
1808.27i | 0.298921i | |||||||||
1033.79 | − | 1422.90i | 0.170125 | − | 0.234157i | |||||
1271.94 | − | 3914.63i | 0.208376 | − | 0.641315i | |||||
0 | 0 | |||||||||
−705.879 | − | 2172.47i | −0.114610 | − | 0.352732i | |||||
−300.782 | − | 97.7299i | −0.0486191 | − | 0.0157973i | 0.284606 | − | 0.958644i | ||
−0.333226 | + | 0.942847i | ||||||||
−3431.70 | − | 1115.03i | −0.552247 | − | 0.179436i | |||||
184.643 | + | 568.273i | 0.0295824 | + | 0.0910453i | |||||
0 | 0 | |||||||||
1152.37 | − | 3546.62i | 0.183003 | − | 0.563226i | |||||
93.0796 | − | 128.113i | 0.0147169 | − | 0.0202560i | |||||
11942.1i | 1.87992i | |||||||||
−238.613 | − | 173.363i | −0.0373987 | − | 0.0271718i | |||||
0 | 0 | |||||||||
−6973.80 | + | 5066.77i | −1.08357 | + | 0.787257i | |||||
3486.20 | + | 4798.35i | 0.539335 | + | 0.742331i | 0.988517 | − | 0.151109i | ||
−0.449182 | + | 0.893440i | ||||||||
−3294.64 | + | 1070.49i | −0.507503 | + | 0.164898i | |||||
−8313.16 | −1.27505 | −0.637526 | − | 0.770429i | ||||||
−0.637526 | + | 0.770429i | ||||||||
0 | 0 | |||||||||
−3021.13 | −0.459419 | |||||||||
−1346.80 | + | 437.602i | −0.203934 | + | 0.0662621i | |||||
2118.46 | + | 2915.82i | 0.319418 | + | 0.439641i | 0.938289 | − | 0.345851i | ||
−0.618872 | + | 0.785492i | ||||||||
−369.124 | + | 268.184i | −0.0554201 | + | 0.0402651i | |||||
0 | 0 | |||||||||
−2795.93 | − | 2031.36i | −0.416247 | − | 0.302421i | |||||
11760.9i | 1.74357i | |||||||||
−3200.56 | + | 4405.19i | −0.472499 | + | 0.650340i | |||||
−2483.37 | + | 7643.04i | −0.365090 | + | 1.12363i | 0.584834 | + | 0.811153i | ||
−0.949924 | + | 0.312480i | ||||||||
0 | 0 | |||||||||
−2086.53 | − | 6421.66i | −0.304203 | − | 0.936239i | |||||
2482.97 | + | 806.767i | 0.360503 | + | 0.117135i | |||||
−2624.00 | − | 852.590i | −0.379406 | − | 0.123277i | |||||
795.332 | + | 2447.78i | 0.114524 | + | 0.352469i | |||||
0 | 0 | |||||||||
337.579 | − | 1038.96i | 0.0482119 | − | 0.148381i | |||||
−7641.29 | + | 10517.3i | −1.08684 | + | 1.49591i | −0.235090 | + | 0.971974i | ||
−0.851755 | + | 0.523940i | ||||||||
− | 3110.78i | − | 0.440654i | |||||||
128.194 | + | 93.1387i | 0.0180855 | + | 0.0131399i | |||||
0 | 0 | |||||||||
137.398 | − | 99.8257i | 0.0192274 | − | 0.0139695i | |||||
871.315 | + | 1199.26i | 0.121440 | + | 0.167147i | |||||
6641.04 | − | 2157.81i | 0.921877 | − | 0.299536i | 0.190641 | − | 0.981660i | ||
0.731237 | + | 0.682124i | ||||||||
7291.05 | 1.00805 | |||||||||
0 | 0 | |||||||||
3397.32 | 0.465967 | |||||||||
3712.15 | − | 1206.15i | 0.507124 | − | 0.164774i | |||||
−5816.97 | − | 8006.37i | −0.791515 | − | 1.08943i | |||||
−741.524 | + | 538.749i | −0.100500 | + | 0.0730176i | −0.636900 | − | 0.770946i | ||
0.536400 | + | 0.843964i | ||||||||
0 | 0 | |||||||||
−5822.33 | − | 4230.17i | −0.782906 | − | 0.568814i | |||||
− | 7930.90i | − | 1.06225i | |||||||
329.322 | − | 453.273i | 0.0439362 | − | 0.0604730i | −0.786484 | − | 0.617611i | ||
0.830420 | + | 0.557138i | ||||||||
173.951 | − | 535.367i | 0.0231170 | − | 0.0711467i | |||||
0 | 0 | |||||||||
−1199.72 | − | 3692.35i | −0.158197 | − | 0.486880i | |||||
−268.562 | − | 87.2611i | −0.0352759 | − | 0.0114618i | |||||
2485.91 | + | 807.721i | 0.325265 | + | 0.105685i | |||||
917.355 | + | 2823.33i | 0.119567 | + | 0.367991i | 0.992872 | − | 0.119183i | ||
−0.873305 | + | 0.487174i | ||||||||
0 | 0 | |||||||||
−4949.31 | + | 15232.4i | −0.640147 | + | 1.97017i | |||||
−3342.68 | + | 4600.81i | −0.430691 | + | 0.592796i | |||||
4756.12i | 0.610470i | |||||||||
−3266.02 | − | 2372.90i | −0.417613 | − | 0.303414i | |||||
0 | 0 | |||||||||
−1096.87 | + | 796.925i | −0.139192 | + | 0.101129i | |||||
−3716.55 | − | 5115.40i | −0.469845 | − | 0.646686i | 0.506669 | − | 0.862141i | ||
−0.976514 | + | 0.215455i | ||||||||
−1874.55 | + | 609.078i | −0.236087 | + | 0.0767094i | |||||
1475.85 | 0.185175 | |||||||||
0 | 0 | |||||||||
−3008.68 | −0.374679 | −0.187339 | − | 0.982295i | ||||||
−0.187339 | + | 0.982295i | ||||||||
6517.83 | − | 2117.77i | 0.808656 | − | 0.262748i | |||||
−981.734 | − | 1351.24i | −0.121349 | − | 0.167023i | |||||
2215.29 | − | 1609.50i | 0.272809 | − | 0.198207i | |||||
0 | 0 | |||||||||
10343.9 | + | 7515.30i | 1.26443 | + | 0.918666i | |||||
− | 10161.8i | − | 1.23760i | |||||||
−1703.56 | + | 2344.75i | −0.206712 | + | 0.284515i | |||||
−3472.20 | + | 10686.3i | −0.419778 | + | 1.29194i | 0.488129 | + | 0.872771i | ||
−0.907907 | + | 0.419172i | ||||||||
0 | 0 | |||||||||
3150.04 | + | 9694.82i | 0.378053 | + | 1.16353i | |||||
−14.6777 | − | 4.76908i | −0.00175514 | − | 0.000570281i | |||||
1601.58 | + | 520.384i | 0.190819 | + | 0.0620010i | |||||
−920.352 | − | 2832.55i | −0.109258 | − | 0.336262i | |||||
0 | 0 | |||||||||
−195.996 | + | 603.212i | −0.0230997 | + | 0.0710936i | |||||
−2741.77 | + | 3773.72i | −0.321978 | + | 0.443165i | |||||
− | 914.937i | − | 0.107060i | |||||||
3609.66 | + | 2622.57i | 0.420867 | + | 0.305778i | 0.777987 | − | 0.628281i | ||
−0.357119 | + | 0.934059i | ||||||||
0 | 0 | |||||||||
4617.41 | − | 3354.74i | 0.534534 | − | 0.388361i | −0.287517 | − | 0.957775i | ||
0.822051 | + | 0.569414i | ||||||||
5093.64 | + | 7010.80i | 0.587570 | + | 0.808721i | |||||
3093.46 | − | 1005.13i | 0.355577 | − | 0.115534i | |||||
41.8525 | 0.00479372 | |||||||||
0 | 0 | |||||||||
−5395.40 | −0.613634 | |||||||||
−3834.65 | + | 1245.95i | −0.434595 | + | 0.141208i | |||||
2459.03 | + | 3384.56i | 0.277714 | + | 0.382241i | |||||
−3120.72 | + | 2267.33i | −0.351211 | + | 0.255170i | |||||
0 | 0 | |||||||||
6487.97 | + | 4713.79i | 0.725092 | + | 0.526810i | 0.888007 | − | 0.459830i | ||
−0.162915 | + | 0.986640i | ||||||||
− | 2438.80i | − | 0.271613i | |||||||
3399.31 | − | 4678.75i | 0.377276 | − | 0.519276i | −0.577584 | − | 0.816331i | ||
0.954860 | + | 0.297055i | ||||||||
1690.70 | − | 5203.43i | 0.186995 | − | 0.575513i | |||||
0 | 0 | |||||||||
−1424.65 | − | 4384.62i | −0.156487 | − | 0.481618i | |||||
1911.48 | + | 621.078i | 0.209242 | + | 0.0679867i | |||||
7595.95 | + | 2468.08i | 0.828650 | + | 0.269245i | |||||
−3630.68 | − | 11174.1i | −0.394721 | − | 1.21483i | −0.929178 | − | 0.369632i | ||
0.534457 | − | 0.845196i | ||||||||
0 | 0 | |||||||||
−1682.52 | + | 5178.27i | −0.181678 | + | 0.559148i | |||||
1919.44 | − | 2641.89i | 0.206558 | − | 0.284303i | |||||
3568.50i | 0.382719i | 0.981520 | + | 0.191360i | ||||||
−0.981520 | + | 0.191360i | ||||||||
3267.96 | + | 2374.31i | 0.349303 | + | 0.253784i | |||||
0 | 0 | |||||||||
8411.03 | − | 6110.97i | 0.892990 | − | 0.648795i | |||||
4731.65 | + | 6512.55i | 0.500669 | + | 0.689112i | |||||
−1975.96 | + | 642.029i | −0.208383 | + | 0.0677076i | |||||
14369.1 | 1.51029 | 0.755145 | − | 0.655558i | ||||||
0.755145 | + | 0.655558i | ||||||||
0 | 0 | |||||||||
915.518 | 0.0955878 | |||||||||
516.870 | − | 167.941i | 0.0537866 | − | 0.0174763i | |||||
−4098.52 | − | 5641.13i | −0.425089 | − | 0.585085i | |||||
6059.05 | − | 4402.15i | 0.626355 | − | 0.455073i | |||||
0 | 0 | |||||||||
294.237 | + | 213.776i | 0.0302169 | + | 0.0219539i | |||||
402.073i | 0.0411558i | 0.999788 | + | 0.0205779i | ||||||
−0.999788 | + | 0.0205779i | ||||||||
−4943.23 | + | 6803.78i | −0.504328 | + | 0.694148i | |||||
−3880.17 | + | 11941.9i | −0.394577 | + | 1.21438i | |||||
0 | 0 | |||||||||
2232.00 | + | 6869.38i | 0.225498 | + | 0.694010i | 0.998241 | + | 0.0592914i | ||
−0.772743 | + | 0.634719i | ||||||||
−12017.4 | − | 3904.70i | −1.21018 | − | 0.393210i | |||||
−3116.67 | − | 1012.67i | −0.312838 | − | 0.101647i | 0.148390 | − | 0.988929i | ||
−0.461228 | + | 0.887282i | ||||||||
973.661 | + | 2996.62i | 0.0974162 | + | 0.299816i | |||||
0 | 0 | |||||||||
3841.09 | − | 11821.7i | 0.381835 | − | 1.17517i | |||||
3399.75 | − | 4679.36i | 0.336877 | − | 0.463672i | −0.606649 | − | 0.794970i | ||
0.943526 | + | 0.331298i | ||||||||
607.248i | 0.0599787i | |||||||||
−20463.6 | − | 14867.6i | −2.01475 | − | 1.46380i | |||||
0 | 0 | |||||||||
−5463.18 | + | 3969.23i | −0.534459 | + | 0.388307i | |||||
243.926 | + | 335.735i | 0.0237873 | + | 0.0327404i | |||||
−1551.67 | + | 504.169i | −0.150837 | + | 0.0490100i | |||||
−5437.07 | −0.526863 | |||||||||
0 | 0 | |||||||||
10697.1 | 1.03004 | |||||||||
38.1092 | − | 12.3824i | 0.00365807 | − | 0.00118858i | |||||
−999.992 | − | 1376.37i | −0.0956874 | − | 0.131702i | |||||
1896.17 | − | 1377.64i | 0.180873 | − | 0.131412i | −0.493665 | − | 0.869652i | ||
0.674538 | + | 0.738241i | ||||||||
0 | 0 | |||||||||
−3682.10 | − | 2675.20i | −0.349042 | − | 0.253594i | |||||
− | 9431.94i | − | 0.891314i | |||||||
16315.3 | − | 22456.1i | 1.53701 | − | 2.11551i | |||||
−775.469 | + | 2386.65i | −0.0728277 | + | 0.224141i | |||||
0 | 0 | |||||||||
−1283.63 | − | 3950.60i | −0.119808 | − | 0.368730i | |||||
−11188.2 | − | 3635.26i | −1.04104 | − | 0.338253i | −0.261892 | − | 0.965097i | ||
−0.779145 | + | 0.626844i | ||||||||
−944.983 | − | 307.044i | −0.0876585 | − | 0.0284820i | |||||
−2277.27 | − | 7008.72i | −0.210597 | − | 0.648150i | |||||
0 | 0 | |||||||||
3398.57 | − | 10459.7i | 0.312374 | − | 0.961387i | −0.664448 | − | 0.747334i | ||
0.976822 | − | 0.214053i | ||||||||
−213.912 | + | 294.424i | −0.0196014 | + | 0.0269790i | |||||
− | 16222.5i | − | 1.48200i | |||||||
−331.525 | − | 240.867i | −0.0301943 | − | 0.0219375i | |||||
0 | 0 | |||||||||
1090.78 | − | 792.501i | 0.0987452 | − | 0.0717426i | |||||
11704.9 | + | 16110.5i | 1.05642 | + | 1.45403i | |||||
−3781.60 | + | 1228.72i | −0.340276 | + | 0.110562i | |||||
−12608.1 | −1.13109 | −0.565545 | − | 0.824717i | ||||||
−0.565545 | + | 0.824717i | ||||||||
0 | 0 | |||||||||
9050.87 | 0.807112 | |||||||||
1179.05 | − | 383.098i | 0.104828 | − | 0.0340607i | |||||
1904.41 | + | 2621.20i | 0.168814 | + | 0.232353i | 0.885039 | − | 0.465517i | ||
−0.716225 | + | 0.697870i | ||||||||
−1609.28 | + | 1169.21i | −0.142228 | + | 0.103335i | |||||
0 | 0 | |||||||||
−13921.4 | − | 10114.5i | −1.22309 | − | 0.888627i | |||||
− | 7934.29i | − | 0.695018i | |||||||
−3847.53 | + | 5295.68i | −0.336037 | + | 0.462515i | |||||
−1458.15 | + | 4487.74i | −0.126977 | + | 0.390797i | −0.994256 | − | 0.107026i | ||
0.867279 | + | 0.497823i | ||||||||
0 | 0 | |||||||||
−9109.30 | − | 28035.6i | −0.788595 | − | 2.42704i | |||||
−486.941 | − | 158.217i | −0.0420312 | − | 0.0136568i | |||||
1498.57 | + | 486.914i | 0.128973 | + | 0.0419060i | |||||
1858.13 | + | 5718.74i | 0.159453 | + | 0.490744i | |||||
0 | 0 | |||||||||
200.412 | − | 616.806i | 0.0170982 | − | 0.0526228i | |||||
11046.2 | − | 15203.8i | 0.939673 | − | 1.29335i | |||||
− | 14908.9i | − | 1.26459i | |||||||
−15334.7 | − | 11141.3i | −1.29695 | − | 0.942292i | |||||
0 | 0 | |||||||||
7016.16 | − | 5097.54i | 0.589987 | − | 0.428651i | −0.252324 | − | 0.967643i | ||
0.842311 | + | 0.538992i | ||||||||
1773.15 | + | 2440.53i | 0.148676 | + | 0.204635i | |||||
−4454.00 | + | 1447.19i | −0.372390 | + | 0.120997i | −0.489232 | − | 0.872154i | ||
0.116842 | + | 0.993150i | ||||||||
4325.91 | 0.360646 | |||||||||
0 | 0 | |||||||||
964.814 | 0.0799769 | |||||||||
−6602.07 | + | 2145.14i | −0.545713 | + | 0.177313i | |||||
−1830.30 | − | 2519.19i | −0.150859 | − | 0.207639i | |||||
20738.1 | − | 15067.1i | 1.70445 | − | 1.23836i | |||||
0 | 0 | |||||||||
321.439 | + | 233.539i | 0.0262698 | + | 0.0190861i | |||||
− | 1342.35i | − | 0.109395i | |||||||
241.020 | − | 331.735i | 0.0195867 | − | 0.0269588i | |||||
2348.32 | − | 7227.37i | 0.190303 | − | 0.585691i | |||||
0 | 0 | |||||||||
−1926.21 | − | 5928.26i | −0.155223 | − | 0.477728i | |||||
−11387.3 | − | 3699.94i | −0.915077 | − | 0.297327i | |||||
9897.44 | + | 3215.87i | 0.793139 | + | 0.257707i | |||||
9721.11 | + | 29918.5i | 0.776842 | + | 2.39087i | |||||
0 | 0 | |||||||||
1143.80 | − | 3520.25i | 0.0908980 | − | 0.279755i | −0.895265 | − | 0.445534i | ||
0.986163 | + | 0.165779i | ||||||||
2543.43 | − | 3500.73i | 0.201567 | − | 0.277434i | |||||
5740.78i | 0.453703i | |||||||||
2132.65 | + | 1549.46i | 0.168082 | + | 0.122119i | |||||
0 | 0 | |||||||||
−4578.57 | + | 3326.52i | −0.358873 | + | 0.260736i | |||||
11392.7 | + | 15680.7i | 0.890524 | + | 1.22570i | 0.973393 | + | 0.229141i | ||
−0.0828689 | + | 0.996560i | ||||||||
8817.88 | − | 2865.10i | 0.687374 | − | 0.223341i | |||||
−951.304 | −0.0739539 | |||||||||
0 | 0 | |||||||||
−2035.73 | −0.157396 | |||||||||
6505.51 | − | 2113.77i | 0.501618 | − | 0.162985i | |||||
11795.3 | + | 16234.9i | 0.907032 | + | 1.24842i | |||||
−8076.06 | + | 5867.60i | −0.619348 | + | 0.449983i | |||||
0 | 0 | |||||||||
3432.37 | + | 2493.76i | 0.261807 | + | 0.190214i | |||||
4428.74i | 0.336897i | 0.985710 | + | 0.168448i | ||||||
−0.985710 | + | 0.168448i | ||||||||
758.755 | − | 1044.34i | 0.0575639 | − | 0.0792299i | |||||
−225.810 | + | 694.972i | −0.0170854 | + | 0.0525835i | |||||
0 | 0 | |||||||||
4954.25 | + | 15247.6i | 0.372849 | + | 1.14751i | |||||
−836.932 | − | 271.936i | −0.0628182 | − | 0.0204109i | |||||
10531.5 | + | 3421.90i | 0.788367 | + | 0.256156i | 0.675409 | − | 0.737444i | ||
0.112959 | + | 0.993600i | ||||||||
2308.47 | + | 7104.74i | 0.172348 | + | 0.530432i | |||||
0 | 0 | |||||||||
−2246.83 | + | 6915.03i | −0.166857 | + | 0.513534i | |||||
8844.85 | − | 12173.9i | 0.655113 | − | 0.901685i | |||||
4907.36i | 0.362515i | |||||||||
−21829.5 | − | 15860.1i | −1.60833 | − | 1.16852i | −0.868432 | − | 0.495809i | ||
−0.739903 | − | 0.672714i | ||||||||
0 | 0 | |||||||||
−10821.3 | + | 7862.17i | −0.793099 | + | 0.576220i | −0.908881 | − | 0.417055i | ||
0.115783 | + | 0.993275i | ||||||||
2062.24 | + | 2838.43i | 0.150746 | + | 0.207484i | |||||
16585.7 | − | 5389.03i | 1.20921 | − | 0.392897i | |||||
1343.20 | 0.0976730 | |||||||||
0 | 0 | |||||||||
−490.198 | −0.0354599 | |||||||||
9915.34 | − | 3221.69i | 0.715391 | − | 0.232445i | 0.0713674 | − | 0.997450i | ||
0.644024 | + | 0.765005i | ||||||||
−2202.05 | − | 3030.87i | −0.158466 | − | 0.218110i | |||||
6906.52 | − | 5017.88i | 0.495726 | − | 0.360166i | |||||
0 | 0 | |||||||||
11872.8 | + | 8626.10i | 0.847792 | + | 0.615957i | |||||
5747.57i | 0.409355i | |||||||||
136.081 | − | 187.299i | 0.00966706 | − | 0.0133056i | |||||
2244.83 | − | 6908.87i | 0.159061 | − | 0.489539i | |||||
0 | 0 | |||||||||
4351.22 | + | 13391.7i | 0.306736 | + | 0.944036i | |||||
12717.0 | + | 4132.00i | 0.894184 | + | 0.290538i | 0.719835 | − | 0.694146i | ||
0.174350 | + | 0.984684i | ||||||||
−11892.9 | − | 3864.24i | −0.834108 | − | 0.271018i | |||||
269.189 | + | 828.479i | 0.0188315 | + | 0.0579573i | |||||
0 | 0 | |||||||||
2743.15 | − | 8442.54i | 0.190927 | − | 0.587614i | |||||
2159.55 | − | 2972.36i | 0.149927 | − | 0.206357i | |||||
− | 2768.13i | − | 0.191693i | −0.995396 | − | 0.0958463i | ||||
0.995396 | − | 0.0958463i | ||||||||
−10914.2 | − | 7929.61i | −0.753895 | − | 0.547737i | |||||
0 | 0 | |||||||||
5923.46 | − | 4303.65i | 0.407105 | − | 0.295779i | |||||
−2547.50 | − | 3506.34i | −0.174644 | − | 0.240377i | |||||
−7329.93 | + | 2381.64i | −0.501243 | + | 0.162864i | |||||
−4098.71 | −0.279580 | −0.139790 | − | 0.990181i | ||||||
−0.139790 | + | 0.990181i | ||||||||
0 | 0 | |||||||||
−17523.5 | −1.18935 | −0.594673 | − | 0.803968i | ||||||
−0.594673 | + | 0.803968i | ||||||||
−2276.54 | + | 739.693i | −0.154128 | + | 0.0500791i | |||||
−3507.85 | − | 4828.15i | −0.236900 | − | 0.326065i | |||||
−5130.87 | + | 3727.79i | −0.345649 | + | 0.251129i | |||||
0 | 0 | |||||||||
4871.21 | + | 3539.14i | 0.326533 | + | 0.237240i | |||||
− | 14982.0i | − | 1.00182i | −0.865501 | − | 0.500908i | ||||
0.865501 | − | 0.500908i | ||||||||
194.439 | − | 267.622i | 0.0129696 | − | 0.0178512i | |||||
−8687.92 | + | 26738.7i | −0.578083 | + | 1.77916i | |||||
0 | 0 | |||||||||
−2601.02 | − | 8005.10i | −0.172219 | − | 0.530036i | |||||
2400.33 | + | 779.914i | 0.158542 | + | 0.0515133i | |||||
−28387.1 | − | 9223.52i | −1.87038 | − | 0.607723i | −0.991400 | − | 0.130864i | ||
−0.878980 | − | 0.476859i | ||||||||
−2463.17 | − | 7580.87i | −0.161898 | − | 0.498272i | |||||
0 | 0 | |||||||||
−3551.50 | + | 10930.4i | −0.232295 | + | 0.714932i | |||||
−11272.8 | + | 15515.7i | −0.735538 | + | 1.01238i | 0.263325 | + | 0.964707i | ||
−0.998863 | + | 0.0476742i | ||||||||
− | 33.9358i | − | 0.00220890i | |||||||
12120.6 | + | 8806.12i | 0.787023 | + | 0.571806i | 0.907079 | − | 0.420961i | ||
−0.120055 | + | 0.992767i | ||||||||
0 | 0 | |||||||||
23975.3 | − | 17419.0i | 1.54927 | − | 1.12561i | |||||
7549.53 | + | 10391.0i | 0.486670 | + | 0.669843i | |||||
−26675.2 | + | 8667.29i | −1.71544 | + | 0.557380i | |||||
−1394.66 | −0.0894731 | |||||||||
0 | 0 | |||||||||
−13863.9 | −0.885164 | |||||||||
1913.39 | − | 621.698i | 0.121871 | − | 0.0395984i | |||||
3610.20 | + | 4969.01i | 0.229399 | + | 0.315741i | |||||
−15303.6 | + | 11118.7i | −0.970103 | + | 0.704821i | |||||
0 | 0 | |||||||||
−15151.7 | − | 11008.3i | −0.955908 | − | 0.694508i | −0.00371118 | − | 0.999993i | ||
−0.952197 | + | 0.305485i | ||||||||
4945.26i | 0.311253i | |||||||||
−11200.4 | + | 15416.0i | −0.703280 | + | 0.967982i | |||||
−4084.24 | + | 12570.0i | −0.255846 | + | 0.787412i | |||||
0 | 0 | |||||||||
28.4387 | + | 87.5253i | 0.00177306 | + | 0.00545692i | |||||
13400.1 | + | 4353.94i | 0.833485 | + | 0.270816i | |||||
16576.4 | + | 5385.98i | 1.02863 | + | 0.334221i | |||||
1451.89 | + | 4468.44i | 0.0898837 | + | 0.276634i | |||||
0 | 0 | |||||||||
−5889.14 | + | 18124.9i | −0.362881 | + | 1.11683i | 0.588416 | + | 0.808558i | ||
−0.951297 | + | 0.308275i | ||||||||
−5407.16 | + | 7442.32i | −0.332404 | + | 0.457515i | |||||
− | 10953.1i | − | 0.671768i | −0.941903 | − | 0.335884i | ||||
0.941903 | − | 0.335884i | ||||||||
−20424.9 | − | 14839.5i | −1.24977 | − | 0.908012i | |||||
0 | 0 | |||||||||
−1377.89 | + | 1001.10i | −0.0839201 | + | 0.0609715i | |||||
−6308.42 | − | 8682.80i | −0.383323 | − | 0.527598i | 0.573138 | − | 0.819459i | ||
−0.956461 | + | 0.291860i | ||||||||
3526.76 | − | 1145.91i | 0.213803 | − | 0.0694688i | |||||
2295.60 | 0.138845 | |||||||||
0 | 0 | |||||||||
12030.6 | 0.724298 | |||||||||
−6374.75 | + | 2071.28i | −0.382906 | + | 0.124414i | |||||
4644.00 | + | 6391.92i | 0.278306 | + | 0.383055i | 0.925172 | − | 0.379548i | ||
−0.646866 | + | 0.762604i | ||||||||
8201.42 | − | 5958.68i | 0.490368 | − | 0.356274i | |||||
0 | 0 | |||||||||
267.792 | + | 194.562i | 0.0159383 | + | 0.0115798i | |||||
− | 6955.08i | − | 0.413004i | |||||||
16206.4 | − | 22306.2i | 0.960171 | − | 1.32156i | |||||
4537.13 | − | 13963.8i | 0.268196 | − | 0.825423i | −0.722743 | − | 0.691116i | ||
0.990940 | − | 0.134307i | ||||||||
0 | 0 | |||||||||
−3412.01 | − | 10501.1i | −0.200774 | − | 0.617919i | −0.999860 | − | 0.0167028i | ||
0.799086 | − | 0.601216i | ||||||||
7131.36 | + | 2317.12i | 0.418683 | + | 0.136038i | |||||
6829.18 | + | 2218.94i | 0.400035 | + | 0.129979i | |||||
1117.57 | + | 3439.54i | 0.0653166 | + | 0.201024i | |||||
0 | 0 | |||||||||
1087.00 | − | 3345.43i | 0.0632436 | − | 0.194644i | |||||
−22504.7 | + | 30975.1i | −1.30643 | + | 1.79814i | |||||
− | 8232.18i | − | 0.476815i | |||||||
18495.0 | + | 13437.4i | 1.06885 | + | 0.776563i | |||||
0 | 0 | |||||||||
−4446.64 | + | 3230.68i | −0.255828 | + | 0.185870i | |||||
−2685.32 | − | 3696.03i | −0.154150 | − | 0.212169i | |||||
−13104.2 | + | 4257.81i | −0.750564 | + | 0.243873i | −0.659224 | − | 0.751947i | ||
−0.0913399 | + | 0.995820i | ||||||||
−632.521 | −0.0361481 | |||||||||
0 | 0 | |||||||||
−7216.60 | −0.410594 | |||||||||
6144.11 | − | 1996.34i | 0.348799 | − | 0.113332i | −0.129377 | − | 0.991595i | ||
0.478177 | + | 0.878264i | ||||||||
702.424 | + | 966.804i | 0.0397882 | + | 0.0547638i | |||||
17162.0 | − | 12468.9i | 0.969983 | − | 0.704734i | |||||
0 | 0 | |||||||||
13323.2 | + | 9679.90i | 0.749703 | + | 0.544691i | |||||
− | 7458.27i | − | 0.418756i | |||||||
−6638.66 | + | 9137.33i | −0.371920 | + | 0.511904i | −0.953421 | − | 0.301641i | ||
0.581501 | + | 0.813545i | ||||||||
97.8697 | − | 301.212i | 0.00547097 | − | 0.0168379i | |||||
0 | 0 | |||||||||
7380.60 | + | 22715.2i | 0.410777 | + | 1.26424i | |||||
−17587.5 | − | 5714.53i | −0.976718 | − | 0.317355i | |||||
−561.013 | − | 182.284i | −0.0310878 | − | 0.0101010i | |||||
−32.0426 | − | 98.6170i | −0.00177174 | − | 0.00545284i | |||||
0 | 0 | |||||||||
828.470 | − | 2549.77i | 0.0456100 | − | 0.140373i | −0.925658 | − | 0.378361i | ||
0.971268 | + | 0.237988i | ||||||||
−10133.5 | + | 13947.6i | −0.556675 | + | 0.766197i | |||||
11003.5i | 0.603158i | |||||||||
9596.70 | + | 6972.41i | 0.524907 | + | 0.381367i | |||||
0 | 0 | |||||||||
−5605.17 | + | 4072.39i | −0.305264 | + | 0.221787i | |||||
−1001.73 | − | 1378.76i | −0.0544380 | − | 0.0749275i | |||||
−15812.6 | + | 5137.82i | −0.857471 | + | 0.278609i | |||||
27332.4 | 1.47898 | |||||||||
0 | 0 | |||||||||
−34520.6 | −1.85995 | −0.929976 | − | 0.367620i | ||||||
−0.929976 | + | 0.367620i | ||||||||
−5746.54 | + | 1867.16i | −0.308959 | + | 0.100387i | |||||
1395.26 | + | 1920.42i | 0.0748555 | + | 0.103030i | |||||
−2291.31 | + | 1664.74i | −0.122666 | + | 0.0891224i | |||||
0 | 0 | |||||||||
5831.63 | + | 4236.93i | 0.310873 | + | 0.225862i | |||||
− | 22223.1i | − | 1.18216i | |||||||
−536.369 | + | 738.248i | −0.0284717 | + | 0.0391879i | |||||
6361.25 | − | 19577.9i | 0.336956 | − | 1.03704i | −0.628794 | − | 0.777572i | ||
0.965751 | − | 0.259472i | ||||||||
0 | 0 | |||||||||
1463.10 | + | 4502.95i | 0.0771736 | + | 0.237516i | |||||
−6573.62 | − | 2135.90i | −0.346007 | − | 0.112424i | |||||
15581.8 | + | 5062.82i | 0.818432 | + | 0.265925i | |||||
7268.64 | + | 22370.6i | 0.380983 | + | 1.17255i | |||||
0 | 0 | |||||||||
−3365.27 | + | 10357.2i | −0.175651 | + | 0.540597i | |||||
2198.88 | − | 3026.50i | 0.114531 | − | 0.157639i | |||||
16072.7i | 0.835417i | |||||||||
−8049.33 | − | 5848.18i | −0.417510 | − | 0.303339i | 0.359125 | − | 0.933289i | ||
−0.776635 | + | 0.629951i | ||||||||
0 | 0 | |||||||||
−101.331 | + | 73.6213i | −0.00523407 | + | 0.00380277i | |||||
−7937.61 | − | 10925.2i | −0.409151 | − | 0.563149i | |||||
19724.8 | − | 6408.98i | 1.01463 | − | 0.329672i | |||||
5221.50 | 0.268033 | |||||||||
0 | 0 | |||||||||
−5518.08 | −0.282087 | |||||||||
−9111.21 | + | 2960.41i | −0.464809 | + | 0.151026i | −0.532053 | − | 0.846711i | ||
0.0672442 | + | 0.997737i | ||||||||
3025.62 | + | 4164.41i | 0.154034 | + | 0.212010i | |||||
17514.7 | − | 12725.2i | 0.889840 | − | 0.646506i | |||||
0 | 0 | |||||||||
2457.07 | + | 1785.16i | 0.124320 | + | 0.0903238i | |||||
− | 2184.86i | − | 0.110321i | |||||||
−18669.8 | + | 25696.8i | −0.940772 | + | 1.29486i | 0.0147351 | + | 0.999891i | ||
−0.955507 | + | 0.294970i | ||||||||
−8034.53 | + | 24727.7i | −0.404032 | + | 1.24348i | |||||
0 | 0 | |||||||||
−1922.57 | − | 5917.06i | −0.0962865 | − | 0.296339i | |||||
−32793.3 | − | 10655.2i | −1.63902 | − | 0.532549i | |||||
301.403 | + | 97.9319i | 0.0150336 | + | 0.00488472i | |||||
−4249.28 | − | 13077.9i | −0.211519 | − | 0.650987i | −0.999382 | − | 0.0351378i | ||
0.787864 | − | 0.615849i | ||||||||
0 | 0 | |||||||||
278.449 | − | 856.979i | 0.0138044 | − | 0.0424857i | |||||
199.651 | − | 274.797i | 0.00987795 | − | 0.0135958i | |||||
− | 6312.16i | − | 0.311670i | −0.987783 | − | 0.155835i | ||||
0.987783 | − | 0.155835i | ||||||||
2398.52 | + | 1742.63i | 0.118191 | + | 0.0858708i | |||||
0 | 0 | |||||||||
11298.4 | − | 8208.78i | 0.554510 | − | 0.402875i | |||||
2035.23 | + | 2801.26i | 0.0996857 | + | 0.137206i | |||||
13868.4 | − | 4506.11i | 0.677913 | − | 0.220267i | |||||
33952.9 | 1.65636 | |||||||||
0 | 0 | |||||||||
40114.6 | 1.94914 | 0.974569 | − | 0.224087i | ||||||
0.974569 | + | 0.224087i | ||||||||
6462.09 | − | 2099.66i | 0.313362 | − | 0.101817i | |||||
1602.33 | + | 2205.42i | 0.0775459 | + | 0.106733i | |||||
6315.49 | − | 4588.47i | 0.305035 | − | 0.221621i | |||||
0 | 0 | |||||||||
−16012.7 | − | 11633.9i | −0.770341 | − | 0.559686i | |||||
8151.37i | 0.391369i | 0.980667 | + | 0.195685i | ||||||
−0.980667 | + | 0.195685i | ||||||||
−1077.50 | + | 1483.05i | −0.0516312 | + | 0.0710643i | |||||
11692.7 | − | 35986.4i | 0.559181 | − | 1.72098i | |||||
0 | 0 | |||||||||
−1730.96 | − | 5327.36i | −0.0824538 | − | 0.253767i | 0.901328 | − | 0.433138i | ||
−0.983781 | + | 0.179371i | ||||||||
−13689.1 | − | 4447.87i | −0.650793 | − | 0.211456i | |||||
−35584.8 | − | 11562.2i | −1.68841 | − | 0.548597i | |||||
−4901.56 | − | 15085.5i | −0.232110 | − | 0.714362i | |||||
0 | 0 | |||||||||
346.270 | − | 1065.71i | 0.0163332 | − | 0.0502684i | |||||
604.341 | − | 831.804i | 0.0284504 | − | 0.0391587i | |||||
− | 1125.84i | − | 0.0528973i | |||||||
2973.61 | + | 2160.45i | 0.139442 | + | 0.101311i | 0.655320 | − | 0.755352i | ||
−0.515877 | + | 0.856662i | ||||||||
0 | 0 | |||||||||
−10696.9 | + | 7771.73i | −0.499661 | + | 0.363025i | |||||
−4563.99 | − | 6281.80i | −0.212774 | − | 0.292859i | |||||
6444.75 | − | 2094.03i | 0.299873 | − | 0.0974345i | −0.155216 | − | 0.987881i | ||
0.455089 | + | 0.890446i | ||||||||
−564.766 | −0.0262275 | |||||||||
0 | 0 | |||||||||
5227.68 | 0.241833 | |||||||||
31178.7 | − | 10130.6i | 1.43955 | − | 0.467738i | |||||
3489.83 | + | 4803.33i | 0.160818 | + | 0.221347i | |||||
−173.018 | + | 125.705i | −0.00795766 | + | 0.00578158i | |||||
0 | 0 | |||||||||
21961.6 | + | 15956.0i | 1.00621 | + | 0.731051i | |||||
32032.6i | 1.46481i | |||||||||
−17643.3 | + | 24283.9i | −0.805263 | + | 1.10835i | |||||
−3514.70 | + | 10817.1i | −0.160109 | + | 0.492764i | |||||
0 | 0 | |||||||||
2939.45 | + | 9046.69i | 0.133393 | + | 0.410540i | |||||
−4951.65 | − | 1608.89i | −0.224278 | − | 0.0728725i | 0.194722 | − | 0.980858i | ||
−0.419001 | + | 0.907986i | ||||||||
−7678.87 | − | 2495.02i | −0.347143 | − | 0.112794i | |||||
655.588 | + | 2017.69i | 0.0295812 | + | 0.0910416i | |||||
0 | 0 | |||||||||
1362.98 | − | 4194.82i | 0.0612668 | − | 0.188560i | |||||
−1593.85 | + | 2193.75i | −0.0715089 | + | 0.0984235i | |||||
2461.74i | 0.110238i | |||||||||
−10230.8 | − | 7433.11i | −0.457276 | − | 0.332231i | |||||
0 | 0 | |||||||||
−3189.17 | + | 2317.07i | −0.142007 | + | 0.103174i | |||||
−19082.9 | − | 26265.4i | −0.848121 | − | 1.16734i | −0.984274 | − | 0.176650i | ||
0.136153 | − | 0.990688i | ||||||||
2807.23 | − | 912.125i | 0.124530 | − | 0.0404623i | |||||
−34983.2 | −1.54896 | |||||||||
0 | 0 | |||||||||
−6617.60 | −0.291912 | |||||||||
−5722.85 | + | 1859.47i | −0.251971 | + | 0.0818703i | |||||
−23619.8 | − | 32509.9i | −1.03801 | − | 1.42870i | |||||
11088.8 | − | 8056.48i | 0.486408 | − | 0.353396i | |||||
0 | 0 | |||||||||
−2702.48 | − | 1963.47i | −0.118103 | − | 0.0858067i | |||||
22883.5i | 0.998187i | |||||||||
3219.01 | − | 4430.58i | 0.140154 | − | 0.192905i | |||||
−4880.74 | + | 15021.4i | −0.212111 | + | 0.652811i | 0.787235 | + | 0.616653i | ||
−0.999346 | + | 0.0361575i | ||||||||
0 | 0 | |||||||||
1468.40 | + | 4519.27i | 0.0635789 | + | 0.195676i | 0.977800 | − | 0.209540i | ||
−0.914221 | + | 0.405215i | ||||||||
24320.0 | + | 7902.06i | 1.05107 | + | 0.341512i | |||||
9049.25 | + | 2940.28i | 0.390370 | + | 0.126839i | |||||
−6280.34 | − | 19328.9i | −0.270425 | − | 0.832282i | |||||
0 | 0 | |||||||||
−1791.23 | + | 5512.83i | −0.0768450 | + | 0.236504i | |||||
224.016 | − | 308.332i | 0.00959282 | − | 0.0132034i | |||||
22472.5i | 0.960555i | |||||||||
3987.09 | + | 2896.79i | 0.170110 | + | 0.123592i | |||||
0 | 0 | |||||||||
−33068.5 | + | 24025.6i | −1.40572 | + | 1.02132i | −0.411794 | + | 0.911277i | ||
−0.993927 | + | 0.110039i | ||||||||
11983.5 | + | 16493.8i | 0.508480 | + | 0.699863i | |||||
−14439.2 | + | 4691.60i | −0.611568 | + | 0.198710i | −0.598393 | − | 0.801203i | ||
−0.0131750 | + | 0.999913i | ||||||||
−30.8661 | −0.00130494 | |||||||||
0 | 0 | |||||||||
3367.99 | 0.141874 | |||||||||
−15044.7 | + | 4888.31i | −0.632593 | + | 0.205542i | −0.607723 | − | 0.794149i | ||
−0.0248693 | + | 0.999691i | ||||||||
−3501.23 | − | 4819.02i | −0.146952 | − | 0.202262i | |||||
1.67554 | − | 1.21735i | 7.01976e−5 | − | 5.10015e-5i | −0.587750 | − | 0.809042i | ||
0.587820 | + | 0.808991i | ||||||||
0 | 0 | |||||||||
−17758.5 | − | 12902.3i | −0.741317 | − | 0.538598i | |||||
1268.51i | 0.0528578i | |||||||||
34420.6 | − | 47375.8i | 1.43169 | − | 1.97056i | |||||
−2882.87 | + | 8872.55i | −0.119695 | + | 0.368383i | |||||
0 | 0 | |||||||||
−565.462 | − | 1740.31i | −0.0233935 | − | 0.0719976i | |||||
12215.8 | + | 3969.17i | 0.504470 | + | 0.163912i | |||||
8486.82 | + | 2757.53i | 0.349848 | + | 0.113672i | |||||
−5938.00 | − | 18275.3i | −0.244341 | − | 0.752005i | −0.995744 | − | 0.0921615i | ||
0.751403 | − | 0.659844i | ||||||||
0 | 0 | |||||||||
4447.16 | − | 13686.9i | 0.182343 | − | 0.561193i | |||||
6709.49 | − | 9234.81i | 0.274613 | − | 0.377972i | |||||
− | 1935.04i | − | 0.0790584i | |||||||
14021.6 | + | 10187.3i | 0.571852 | + | 0.415475i | |||||
0 | 0 | |||||||||
5262.91 | − | 3823.73i | 0.213880 | − | 0.155393i | |||||
11971.1 | + | 16476.8i | 0.485633 | + | 0.668416i | |||||
79.6082 | − | 25.8663i | 0.00322377 | − | 0.00104747i | |||||
−15988.0 | −0.646296 | |||||||||
0 | 0 | |||||||||
44645.0 | 1.79837 | |||||||||
−10262.7 | + | 3334.54i | −0.412668 | + | 0.134084i | |||||
14792.5 | + | 20360.1i | 0.593769 | + | 0.817253i | 0.995120 | − | 0.0986714i | ||
−0.401351 | + | 0.915924i | ||||||||
−6523.90 | + | 4739.89i | −0.261409 | + | 0.189925i | |||||
0 | 0 | |||||||||
6769.13 | + | 4918.06i | 0.270285 | + | 0.196374i | |||||
− | 32539.4i | − | 1.29699i | −0.761217 | − | 0.648497i | ||||
0.761217 | − | 0.648497i | ||||||||
−4534.67 | + | 6241.43i | −0.180432 | + | 0.248344i | |||||
−14076.7 | + | 43323.7i | −0.559129 | + | 1.72082i | 0.125654 | + | 0.992074i | ||
−0.684783 | + | 0.728747i | ||||||||
0 | 0 | |||||||||
912.704 | + | 2809.02i | 0.0361265 | + | 0.111186i | |||||
15254.1 | + | 4956.37i | 0.602735 | + | 0.195841i | |||||
3800.08 | + | 1234.72i | 0.149892 | + | 0.0487027i | 0.383002 | − | 0.923748i | ||
−0.233110 | + | 0.972450i | ||||||||
−1507.26 | − | 4638.87i | −0.0593496 | − | 0.182659i | |||||
0 | 0 | |||||||||
3574.25 | − | 11000.4i | 0.140252 | − | 0.431650i | |||||
4842.10 | − | 6664.58i | 0.189673 | − | 0.261062i | |||||
− | 10942.4i | − | 0.427891i | |||||||
22131.2 | + | 16079.2i | 0.863922 | + | 0.627676i | |||||
0 | 0 | |||||||||
−12494.0 | + | 9077.45i | −0.486044 | + | 0.353132i | |||||
−5419.69 | − | 7459.57i | −0.210475 | − | 0.289694i | |||||
4760.11 | − | 1546.65i | 0.184542 | − | 0.0599614i | |||||
4019.70 | 0.155570 | |||||||||
0 | 0 | |||||||||
15973.7 | 0.616098 | |||||||||
−2331.16 | + | 757.438i | −0.0897577 | + | 0.0291641i | −0.353552 | − | 0.935415i | ||
0.263794 | + | 0.964579i | ||||||||
−13811.9 | − | 19010.5i | −0.530899 | − | 0.730720i | |||||
−25049.1 | + | 18199.2i | −0.961189 | + | 0.698345i | |||||
0 | 0 | |||||||||
−28818.0 | − | 20937.5i | −1.10205 | − | 0.800684i | −0.120654 | − | 0.992695i | ||
−0.981393 | + | 0.192011i | ||||||||
10889.5i | 0.415724i | |||||||||
12345.8 | − | 16992.6i | 0.470521 | − | 0.647617i | −0.506128 | − | 0.862459i | ||
0.976649 | + | 0.214842i | ||||||||
2018.22 | − | 6211.45i | 0.0767875 | − | 0.236328i | |||||
0 | 0 | |||||||||
2205.45 | + | 6787.69i | 0.0836272 | + | 0.257378i | |||||
−11581.2 | − | 3762.96i | −0.438398 | − | 0.142444i | 0.0814984 | − | 0.996673i | ||
−0.519896 | + | 0.854229i | ||||||||
7683.44 | + | 2496.50i | 0.290360 | + | 0.0943435i | |||||
16416.4 | + | 50524.5i | 0.619335 | + | 1.90612i | |||||
0 | 0 | |||||||||
6338.83 | − | 19508.9i | 0.238338 | − | 0.733528i | |||||
12221.9 | − | 16822.1i | 0.458768 | − | 0.631440i | |||||
4389.96i | 0.164507i | |||||||||
13025.1 | + | 9463.29i | 0.487276 | + | 0.354027i | |||||
0 | 0 | |||||||||
−3361.71 | + | 2442.42i | −0.125342 | + | 0.0910666i | |||||
−9961.34 | − | 13710.6i | −0.370791 | − | 0.510350i | |||||
27331.7 | − | 8880.60i | 1.01567 | − | 0.330011i | |||||
−16594.6 | −0.615640 | |||||||||
0 | 0 | |||||||||
−430.967 | −0.0159352 | |||||||||
1741.42 | − | 565.821i | 0.0642826 | − | 0.0208867i | |||||
−3093.81 | − | 4258.26i | −0.114015 | − | 0.156928i | |||||
879.352 | − | 638.887i | 0.0323527 | − | 0.0235056i | |||||
0 | 0 | |||||||||
−11282.3 | − | 8197.04i | −0.413718 | − | 0.300583i | |||||
33352.4i | 1.22100i | 0.792015 | + | 0.610501i | ||||||
−0.792015 | + | 0.610501i | ||||||||
8804.31 | − | 12118.1i | 0.321786 | − | 0.442900i | |||||
1620.27 | − | 4986.68i | 0.0591210 | − | 0.181956i | |||||
0 | 0 | |||||||||
5604.85 | + | 17249.9i | 0.203839 | + | 0.627350i | 0.999759 | + | 0.0219494i | ||
−0.795921 | + | 0.605401i | ||||||||
691.793 | + | 224.777i | 0.0251179 | + | 0.00816131i | |||||
19026.4 | + | 6182.06i | 0.689685 | + | 0.224092i | |||||
248.495 | + | 764.789i | 0.00899287 | + | 0.0276772i | |||||
0 | 0 | |||||||||
−5197.62 | + | 15996.6i | −0.187483 | + | 0.577013i | |||||
20636.1 | − | 28403.2i | 0.743147 | − | 1.02285i | |||||
25113.0i | 0.902889i | |||||||||
−25633.4 | − | 18623.8i | −0.920096 | − | 0.668489i | 0.0234522 | − | 0.999725i | ||
−0.943548 | + | 0.331236i | ||||||||
0 | 0 | |||||||||
14180.0 | − | 10302.4i | 0.507325 | − | 0.368593i | |||||
8491.02 | + | 11686.9i | 0.303294 | + | 0.417448i | |||||
11563.2 | − | 3757.12i | 0.412360 | − | 0.133984i | |||||
−25271.7 | −0.899761 | |||||||||
0 | 0 | |||||||||
−6554.13 | −0.232594 | |||||||||
−28.1054 | + | 9.13201i | −0.000995797 | + | 0.000323554i | |||||
3704.03 | + | 5098.16i | 0.131024 | + | 0.180340i | |||||
−22563.0 | + | 16393.0i | −0.796844 | + | 0.578941i | −0.909987 | − | 0.414638i | ||
0.113143 | + | 0.993579i | ||||||||
0 | 0 | |||||||||
−5945.09 | − | 4319.36i | −0.209283 | − | 0.152053i | |||||
− | 24860.1i | − | 0.873732i | |||||||
−16600.7 | + | 22848.8i | −0.582509 | + | 0.801755i | |||||
3574.71 | − | 11001.8i | 0.125234 | − | 0.385429i | |||||
0 | 0 | |||||||||
375.300 | + | 1155.05i | 0.0131058 | + | 0.0403356i | |||||
38777.9 | + | 12599.7i | 1.35200 | + | 0.439290i | 0.893363 | − | 0.449336i | ||
0.458633 | + | 0.888626i | ||||||||
−48112.7 | − | 15632.8i | −1.67477 | − | 0.544166i | |||||
−9420.48 | − | 28993.3i | −0.327397 | − | 1.00762i | |||||
0 | 0 | |||||||||
−7635.56 | + | 23499.8i | −0.264519 | + | 0.814105i | 0.727285 | + | 0.686335i | ||
−0.991804 | + | 0.127769i | ||||||||
−7938.46 | + | 10926.4i | −0.274574 | + | 0.377919i | |||||
4022.25i | 0.138900i | |||||||||
671.470 | + | 487.852i | 0.0231509 | + | 0.0168201i | |||||
0 | 0 | |||||||||
−2639.86 | + | 1917.97i | −0.0907287 | + | 0.0659183i | |||||
19473.6 | + | 26803.1i | 0.668223 | + | 0.919730i | 0.999718 | − | 0.0237270i | ||
−0.331496 | + | 0.943457i | ||||||||
−10341.9 | + | 3360.29i | −0.354314 | + | 0.115124i | |||||
−17998.0 | −0.615638 | |||||||||
0 | 0 | |||||||||
−29062.6 | −0.990978 | |||||||||
20347.0 | − | 6611.15i | 0.692701 | − | 0.225072i | |||||
−18998.2 | − | 26148.8i | −0.645763 | − | 0.888816i | 0.353144 | − | 0.935569i | ||
−0.998906 | + | 0.0467529i | ||||||||
64.8352 | − | 47.1055i | 0.00220033 | − | 0.00159864i | |||||
0 | 0 | |||||||||
−2752.74 | − | 1999.98i | −0.0931277 | − | 0.0676612i | |||||
38325.5i | 1.29455i | |||||||||
2755.29 | − | 3792.33i | 0.0929221 | − | 0.127896i | |||||
23252.6 | − | 71564.3i | 0.782969 | − | 2.40973i | |||||
0 | 0 | |||||||||
−7011.58 | − | 21579.4i | −0.235359 | − | 0.724361i | |||||
−8657.13 | − | 2812.87i | −0.290143 | − | 0.0942730i | |||||
7618.74 | + | 2475.48i | 0.254943 | + | 0.0828361i | |||||
−5829.26 | − | 17940.6i | −0.194759 | − | 0.599407i | |||||
0 | 0 | |||||||||
17155.0 | − | 52797.6i | 0.571379 | − | 1.75852i | |||||
−7523.54 | + | 10355.3i | −0.250197 | + | 0.344367i | −0.915580 | − | 0.402135i | ||
0.665383 | + | 0.746502i | ||||||||
5018.94i | 0.166648i | |||||||||
−3029.84 | − | 2201.31i | −0.100446 | − | 0.0729786i | |||||
0 | 0 | |||||||||
30611.3 | − | 22240.4i | 1.01170 | − | 0.735046i | 0.0471385 | − | 0.998888i | ||
0.964566 | + | 0.263842i | ||||||||
−4883.20 | − | 6721.15i | −0.161141 | − | 0.221791i | |||||
32747.3 | − | 10640.2i | 1.07896 | − | 0.350576i | |||||
−23527.9 | −0.774006 | |||||||||
0 | 0 | |||||||||
−1987.23 | −0.0651738 | |||||||||
28089.5 | − | 9126.82i | 0.919817 | − | 0.298867i | 0.189425 | − | 0.981895i | ||
0.730392 | + | 0.683028i | ||||||||
−8663.25 | − | 11923.9i | −0.283252 | − | 0.389863i | |||||
−30932.4 | + | 22473.7i | −1.00981 | + | 0.733669i | |||||
0 | 0 | |||||||||
−7141.93 | − | 5188.91i | −0.232441 | − | 0.168878i | |||||
− | 21996.0i | − | 0.714788i | |||||||
−624.445 | + | 859.475i | −0.0202611 | + | 0.0278871i | −0.819027 | − | 0.573754i | ||
0.798766 | + | 0.601641i | ||||||||
−224.920 | + | 692.232i | −0.00728677 | + | 0.0224264i | |||||
0 | 0 | |||||||||
−10026.1 | − | 30857.1i | −0.323829 | − | 0.996642i | |||||
57660.8 | + | 18735.1i | 1.85954 | + | 0.604200i | |||||
−779.461 | − | 253.262i | −0.0250992 | − | 0.00815521i | |||||
−2215.03 | − | 6817.15i | −0.0712171 | − | 0.219184i | |||||
0 | 0 | |||||||||
15803.1 | − | 48637.0i | 0.506561 | − | 1.55904i | −0.291568 | − | 0.956550i | ||
0.798130 | − | 0.602486i | ||||||||
1585.00 | − | 2181.57i | 0.0507297 | − | 0.0698234i | |||||
16488.1i | 0.526924i | |||||||||
32220.9 | + | 23409.9i | 1.02816 | + | 0.746998i | |||||
0 | 0 | |||||||||
−6433.64 | + | 4674.31i | −0.204676 | + | 0.148706i | |||||
−27686.5 | − | 38107.1i | −0.879477 | − | 1.21050i | −0.976565 | − | 0.215221i | ||
0.0970879 | − | 0.995276i | ||||||||
−23982.0 | + | 7792.21i | −0.760657 | + | 0.247152i | |||||
35000.9 | 1.10849 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 250.4.e.c.99.7 | 32 | ||
5.2 | odd | 4 | 50.4.d.b.31.3 | yes | 16 | ||
5.3 | odd | 4 | 250.4.d.b.151.2 | 16 | |||
5.4 | even | 2 | inner | 250.4.e.c.99.2 | 32 | ||
25.2 | odd | 20 | 1250.4.a.j.1.3 | 8 | |||
25.3 | odd | 20 | 250.4.d.b.101.2 | 16 | |||
25.4 | even | 10 | inner | 250.4.e.c.149.7 | 32 | ||
25.21 | even | 5 | inner | 250.4.e.c.149.2 | 32 | ||
25.22 | odd | 20 | 50.4.d.b.21.3 | ✓ | 16 | ||
25.23 | odd | 20 | 1250.4.a.g.1.6 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.4.d.b.21.3 | ✓ | 16 | 25.22 | odd | 20 | ||
50.4.d.b.31.3 | yes | 16 | 5.2 | odd | 4 | ||
250.4.d.b.101.2 | 16 | 25.3 | odd | 20 | |||
250.4.d.b.151.2 | 16 | 5.3 | odd | 4 | |||
250.4.e.c.99.2 | 32 | 5.4 | even | 2 | inner | ||
250.4.e.c.99.7 | 32 | 1.1 | even | 1 | trivial | ||
250.4.e.c.149.2 | 32 | 25.21 | even | 5 | inner | ||
250.4.e.c.149.7 | 32 | 25.4 | even | 10 | inner | ||
1250.4.a.g.1.6 | 8 | 25.23 | odd | 20 | |||
1250.4.a.j.1.3 | 8 | 25.2 | odd | 20 |