Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,4,Mod(71,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.71");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 84.e (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: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 71.17 | ||
Character | 84.71 | ||
Dual form | 84.4.e.a.71.18 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.0878767 | − | 2.82706i | −0.0310691 | − | 0.999517i | |||||
−0.849945 | + | 5.12617i | −0.163572 | + | 0.986531i | |||||
−7.98456 | + | 0.496866i | −0.998069 | + | 0.0621082i | |||||
− | 11.8826i | − | 1.06281i | −0.847117 | − | 0.531407i | ||||
0.847117 | − | 0.531407i | ||||||||
14.5667 | + | 1.95238i | 0.991137 | + | 0.132842i | |||||
− | 7.00000i | − | 0.377964i | |||||||
2.10633 | + | 22.5292i | 0.0930873 | + | 0.995658i | |||||
−25.5552 | − | 8.71392i | −0.946488 | − | 0.322738i | |||||
−33.5929 | + | 1.04421i | −1.06230 | + | 0.0330207i | |||||
−57.5490 | −1.57742 | −0.788712 | − | 0.614763i | ||||||
−0.788712 | + | 0.614763i | ||||||||
4.23942 | − | 41.3525i | 0.101985 | − | 0.994786i | |||||
−59.9367 | −1.27873 | −0.639363 | − | 0.768905i | ||||||
−0.639363 | + | 0.768905i | ||||||||
−19.7894 | + | 0.615137i | −0.377782 | + | 0.0117430i | |||||
60.9123 | + | 10.0996i | 1.04850 | + | 0.173847i | |||||
63.5062 | − | 7.93450i | 0.992285 | − | 0.123977i | |||||
− | 51.9634i | − | 0.741351i | −0.928762 | − | 0.370676i | ||||
0.928762 | − | 0.370676i | ||||||||
−22.3891 | + | 73.0118i | −0.293175 | + | 0.956059i | |||||
− | 20.5454i | − | 0.248075i | −0.992278 | − | 0.124038i | ||||
0.992278 | − | 0.124038i | ||||||||
5.90407 | + | 94.8774i | 0.0660095 | + | 1.06076i | |||||
35.8832 | + | 5.94962i | 0.372874 | + | 0.0618244i | |||||
5.05721 | + | 162.694i | 0.0490091 | + | 1.57666i | |||||
53.7192 | 0.487010 | 0.243505 | − | 0.969900i | ||||||
0.243505 | + | 0.969900i | ||||||||
−117.279 | − | 8.35118i | −0.997474 | − | 0.0710282i | |||||
−16.1967 | −0.129573 | |||||||||
5.26704 | + | 169.445i | 0.0397289 | + | 1.27811i | |||||
66.3895 | − | 123.594i | 0.473210 | − | 0.880950i | |||||
3.47806 | + | 55.8919i | 0.0234747 | + | 0.377235i | |||||
− | 158.741i | − | 1.01646i | −0.861220 | − | 0.508232i | ||||
0.861220 | − | 0.508232i | ||||||||
23.1994 | − | 173.090i | 0.141187 | − | 1.05339i | |||||
302.431i | 1.75220i | 0.482129 | + | 0.876100i | ||||||
−0.482129 | + | 0.876100i | ||||||||
−28.0120 | − | 178.839i | −0.154746 | − | 0.987954i | |||||
48.9135 | − | 295.006i | 0.258022 | − | 1.55618i | |||||
−146.904 | + | 4.56637i | −0.740993 | + | 0.0230331i | |||||
−83.1783 | −0.401706 | |||||||||
208.376 | + | 56.8793i | 0.964706 | + | 0.263330i | |||||
284.534 | 1.26425 | 0.632123 | − | 0.774868i | ||||||
0.632123 | + | 0.774868i | ||||||||
−58.0830 | + | 1.80546i | −0.247955 | + | 0.00770747i | |||||
50.9429 | − | 307.245i | 0.209164 | − | 1.26150i | |||||
267.706 | − | 25.0287i | 1.05820 | − | 0.0989345i | |||||
− | 157.215i | − | 0.598849i | −0.954120 | − | 0.299425i | ||||
0.954120 | − | 0.299425i | ||||||||
13.6666 | − | 101.967i | 0.0502097 | − | 0.374615i | |||||
− | 83.6549i | − | 0.296680i | −0.988936 | − | 0.148340i | ||||
0.988936 | − | 0.148340i | ||||||||
459.503 | − | 28.5941i | 1.57438 | − | 0.0979710i | |||||
−103.544 | + | 303.663i | −0.343010 | + | 1.00594i | |||||
−4.72067 | − | 151.868i | −0.0151310 | − | 0.486775i | |||||
−479.631 | −1.48854 | −0.744269 | − | 0.667880i | ||||||
−0.744269 | + | 0.667880i | ||||||||
−13.3032 | + | 332.288i | −0.0400033 | + | 0.999200i | |||||
−49.0000 | −0.142857 | |||||||||
1.42331 | + | 45.7890i | 0.00402573 | + | 0.129511i | |||||
266.373 | + | 44.1660i | 0.731366 | + | 0.121264i | |||||
478.568 | − | 29.7805i | 1.27626 | − | 0.0794194i | |||||
265.944i | 0.689251i | 0.938740 | + | 0.344625i | ||||||
−0.938740 | + | 0.344625i | ||||||||
−355.241 | − | 176.826i | −0.895227 | − | 0.445611i | |||||
683.832i | 1.67651i | |||||||||
157.704 | − | 14.7443i | 0.376323 | − | 0.0351837i | |||||
105.319 | + | 17.4624i | 0.244734 | + | 0.0405782i | |||||
−448.770 | + | 13.9496i | −1.01597 | + | 0.0315806i | |||||
−148.259 | −0.327148 | −0.163574 | − | 0.986531i | ||||||
−0.163574 | + | 0.986531i | ||||||||
−491.376 | − | 50.3754i | −1.05727 | − | 0.108391i | |||||
−476.710 | −1.00060 | −0.500299 | − | 0.865853i | ||||||
−0.500299 | + | 0.865853i | ||||||||
854.991 | − | 26.5766i | 1.75136 | − | 0.0544393i | |||||
−60.9975 | + | 178.886i | −0.121983 | + | 0.357739i | |||||
−503.127 | + | 94.9075i | −0.982670 | + | 0.185366i | |||||
712.205i | 1.35905i | |||||||||
−838.297 | − | 112.357i | −1.56344 | − | 0.209549i | |||||
− | 779.619i | − | 1.42158i | −0.703406 | − | 0.710788i | ||||
0.703406 | − | 0.710788i | ||||||||
25.8188 | + | 414.905i | 0.0460440 | + | 0.739920i | |||||
−45.6584 | + | 275.374i | −0.0796613 | + | 0.480451i | |||||
7.30944 | + | 235.150i | 0.0124806 | + | 0.401512i | |||||
615.023 | 1.02803 | 0.514013 | − | 0.857782i | ||||||
0.514013 | + | 0.857782i | ||||||||
142.490 | − | 594.091i | 0.233230 | − | 0.972421i | |||||
327.327 | 0.524805 | 0.262403 | − | 0.964958i | ||||||
0.262403 | + | 0.964958i | ||||||||
−25.0039 | − | 804.395i | −0.0392790 | − | 1.26364i | |||||
13.7663 | − | 83.0269i | 0.0211946 | − | 0.127828i | |||||
10.2083 | + | 164.046i | 0.0154075 | + | 0.247596i | |||||
402.843i | 0.596210i | |||||||||
−873.079 | − | 117.019i | −1.26739 | − | 0.169869i | |||||
− | 448.606i | − | 0.638887i | −0.947605 | − | 0.319444i | ||||
0.947605 | − | 0.319444i | ||||||||
−94.2827 | − | 754.621i | −0.131764 | − | 1.05461i | |||||
577.135 | + | 445.372i | 0.791681 | + | 0.610935i | |||||
−444.456 | + | 13.8155i | −0.598560 | + | 0.0186057i | |||||
−680.159 | −0.899484 | −0.449742 | − | 0.893159i | ||||||
−0.449742 | + | 0.893159i | ||||||||
−289.467 | − | 29.6759i | −0.375994 | − | 0.0385465i | |||||
−617.461 | −0.787919 | |||||||||
−236.498 | + | 7.35132i | −0.296537 | + | 0.00921759i | |||||
813.732 | + | 134.921i | 1.00277 | + | 0.166265i | |||||
−121.217 | − | 1296.53i | −0.146838 | − | 1.57057i | |||||
− | 413.171i | − | 0.492090i | −0.969258 | − | 0.246045i | ||||
0.969258 | − | 0.246045i | ||||||||
867.572 | + | 266.041i | 1.01611 | + | 0.311591i | |||||
419.557i | 0.483313i | |||||||||
−428.924 | + | 26.6912i | −0.486070 | + | 0.0302473i | |||||
−1550.31 | − | 257.050i | −1.72860 | − | 0.286611i | |||||
42.1483 | + | 1355.95i | 0.0462476 | + | 1.48782i | |||||
−244.133 | −0.263658 | |||||||||
940.566 | + | 8.40876i | 0.999960 | + | 0.00893975i | |||||
552.922 | 0.578771 | 0.289385 | − | 0.957213i | ||||||
0.289385 | + | 0.957213i | ||||||||
4.30596 | + | 138.526i | 0.00443844 | + | 0.142788i | |||||
1470.67 | + | 501.477i | 1.49301 | + | 0.509094i | |||||
129.323 | − | 8.04757i | 0.129323 | − | 0.00804757i | |||||
− | 81.5446i | − | 0.0803366i | −0.999193 | − | 0.0401683i | ||||
0.999193 | − | 0.0401683i | ||||||||
101.452 | − | 756.934i | 0.0984829 | − | 0.734781i | |||||
− | 1015.94i | − | 0.971881i | −0.873992 | − | 0.485940i | ||||
0.873992 | − | 0.485940i | ||||||||
−126.246 | − | 1350.32i | −0.119033 | − | 1.27317i | |||||
70.6970 | − | 426.386i | 0.0657078 | − | 0.396295i | |||||
751.841 | − | 23.3703i | 0.688918 | − | 0.0214144i | |||||
−2141.69 | −1.93500 | −0.967499 | − | 0.252874i | ||||||
−0.967499 | + | 0.252874i | ||||||||
−468.681 | + | 1019.83i | −0.417582 | + | 0.908639i | |||||
67.7332 | 0.0595199 | 0.0297599 | − | 0.999557i | ||||||
0.0297599 | + | 0.999557i | ||||||||
1933.24 | − | 60.0929i | 1.67570 | − | 0.0520876i | |||||
−241.838 | + | 1458.57i | −0.206795 | + | 1.24722i | |||||
−55.5415 | − | 444.544i | −0.0468587 | − | 0.375049i | |||||
1228.08i | 1.02237i | 0.859471 | + | 0.511185i | ||||||
−0.859471 | + | 0.511185i | ||||||||
40.1123 | − | 299.278i | 0.0329549 | − | 0.245877i | |||||
− | 638.325i | − | 0.517601i | |||||||
78.8729 | + | 1267.48i | 0.0631307 | + | 1.01450i | |||||
1531.69 | + | 522.284i | 1.21030 | + | 0.412693i | |||||
13.0285 | + | 419.138i | 0.0101642 | + | 0.326990i | |||||
−363.744 | −0.280204 | |||||||||
−99.2339 | + | 1393.58i | −0.0754898 | + | 1.06013i | |||||
1980.88 | 1.48827 | |||||||||
41.8917 | + | 1347.69i | 0.0310877 | + | 1.00011i | |||||
805.909 | + | 133.624i | 0.590784 | + | 0.0979550i | |||||
−150.268 | − | 2414.78i | −0.108826 | − | 1.74882i | |||||
− | 1292.87i | − | 0.925101i | |||||||
511.083 | + | 156.724i | 0.361356 | + | 0.110810i | |||||
1138.85i | 0.795724i | 0.917445 | + | 0.397862i | ||||||
−0.917445 | + | 0.397862i | ||||||||
312.523 | + | 1414.03i | 0.215807 | + | 0.976436i | |||||
428.829 | + | 71.1021i | 0.292684 | + | 0.0485286i | |||||
2013.45 | − | 62.5862i | 1.35839 | − | 0.0422244i | |||||
−1538.22 | −1.02591 | −0.512956 | − | 0.858415i | ||||||
−0.512956 | + | 0.858415i | ||||||||
−243.974 | + | 2379.79i | −0.160873 | + | 1.56920i | |||||
−143.817 | −0.0937636 | |||||||||
−2204.03 | + | 68.5103i | −1.42089 | + | 0.0441671i | |||||
−1468.62 | − | 788.882i | −0.936286 | − | 0.502934i | |||||
1170.69 | − | 109.452i | 0.738132 | − | 0.0690104i | |||||
− | 1885.75i | − | 1.17599i | −0.808866 | − | 0.587993i | ||||
0.808866 | − | 0.587993i | ||||||||
782.511 | + | 104.880i | 0.482694 | + | 0.0646956i | |||||
− | 704.823i | − | 0.430089i | −0.976604 | − | 0.215044i | ||||
0.976604 | − | 0.215044i | ||||||||
664.142 | − | 41.3285i | 0.400930 | − | 0.0249492i | |||||
407.660 | − | 2458.67i | 0.243483 | − | 1.46849i | |||||
−54.0462 | − | 1738.71i | −0.0319398 | − | 1.02753i | |||||
3449.29 | 2.01709 | |||||||||
−1692.05 | − | 350.621i | −0.979198 | − | 0.202906i | |||||
−1886.26 | −1.08031 | |||||||||
−28.7644 | − | 925.375i | −0.0163052 | − | 0.524552i | |||||
41.6473 | − | 251.182i | 0.0233674 | − | 0.140933i | |||||
−2271.88 | + | 141.375i | −1.26181 | + | 0.0785201i | |||||
− | 2025.45i | − | 1.11363i | −0.830636 | − | 0.556816i | ||||
0.830636 | − | 0.556816i | ||||||||
−235.932 | − | 31.6220i | −0.128425 | − | 0.0172129i | |||||
− | 1333.21i | − | 0.718513i | −0.933239 | − | 0.359256i | ||||
0.933239 | − | 0.359256i | ||||||||
462.870 | − | 43.2752i | 0.246998 | − | 0.0230927i | |||||
−452.805 | + | 1327.93i | −0.239262 | + | 0.701680i | |||||
1138.86 | − | 35.4005i | 0.595922 | − | 0.0185237i | |||||
3593.67 | 1.86226 | |||||||||
−254.097 | + | 2478.53i | −0.130410 | + | 1.27206i | |||||
−1977.17 | −1.00506 | −0.502532 | − | 0.864558i | ||||||
−0.502532 | + | 0.864558i | ||||||||
−1268.24 | + | 39.4220i | −0.638579 | + | 0.0198497i | |||||
−1363.28 | − | 226.038i | −0.679967 | − | 0.112742i | |||||
−2125.07 | + | 332.856i | −1.05001 | + | 0.164466i | |||||
− | 376.035i | − | 0.184073i | |||||||
1208.38 | − | 1670.73i | 0.586044 | − | 0.810280i | |||||
1678.40i | 0.806516i | 0.915086 | + | 0.403258i | ||||||
−0.915086 | + | 0.403258i | ||||||||
78.1146 | + | 1255.29i | 0.0371935 | + | 0.597693i | |||||
−3505.44 | − | 581.220i | −1.65393 | − | 0.274230i | |||||
59.7701 | + | 1922.85i | 0.0279462 | + | 0.899050i | |||||
−2933.39 | −1.35924 | −0.679619 | − | 0.733565i | ||||||
−0.679619 | + | 0.733565i | ||||||||
−58.4582 | + | 820.950i | −0.0268461 | + | 0.377010i | |||||
1395.41 | 0.635141 | |||||||||
54.2604 | + | 1745.60i | 0.0244799 | + | 0.787538i | |||||
−179.031 | + | 525.040i | −0.0800632 | + | 0.234800i | |||||
41.5652 | + | 667.947i | 0.0184263 | + | 0.296108i | |||||
2035.22i | 0.894420i | 0.894429 | + | 0.447210i | ||||||
−0.894429 | + | 0.447210i | ||||||||
309.922 | − | 2312.33i | 0.135029 | − | 1.00745i | |||||
113.377i | 0.0489742i | |||||||||
−3654.72 | + | 456.622i | −1.56525 | + | 0.195564i | |||||
126.012 | − | 760.002i | 0.0535122 | − | 0.322742i | |||||
−1168.06 | + | 36.3081i | −0.491853 | + | 0.0152888i | |||||
3632.86 | 1.51694 | 0.758472 | − | 0.651706i | ||||||
0.758472 | + | 0.651706i | ||||||||
675.875 | − | 2476.06i | 0.279871 | − | 1.02530i | |||||
−2086.31 | −0.856762 | −0.428381 | − | 0.903598i | ||||||
−0.428381 | + | 0.903598i | ||||||||
1186.11 | − | 36.8693i | 0.483080 | − | 0.0150161i | |||||
405.177 | − | 2443.69i | 0.163670 | − | 0.987121i | |||||
113.150 | + | 1210.25i | 0.0453345 | + | 0.484896i | |||||
− | 3381.01i | − | 1.34366i | |||||||
−590.459 | + | 4405.42i | −0.232767 | + | 1.73667i | |||||
2990.44i | 1.16943i | |||||||||
3829.64 | − | 238.312i | 1.48567 | − | 0.0924505i | |||||
−865.157 | − | 464.727i | −0.332968 | − | 0.178857i | |||||
21.4536 | + | 690.178i | 0.00819161 | + | 0.263530i | |||||
1170.52 | 0.443433 | 0.221716 | − | 0.975111i | ||||||
0.221716 | + | 0.975111i | ||||||||
−58.8818 | − | 2659.78i | −0.0221324 | − | 0.999755i | |||||
2386.62 | 0.890116 | 0.445058 | − | 0.895502i | ||||||
0.445058 | + | 0.895502i | ||||||||
−48.5890 | − | 1563.15i | −0.0179819 | − | 0.578491i | |||||
−3650.88 | − | 605.335i | −1.34074 | − | 0.222302i | |||||
391.243 | − | 24.3464i | 0.142581 | − | 0.00887260i | |||||
4598.82i | 1.66321i | 0.555369 | + | 0.831604i | ||||||
−0.555369 | + | 0.831604i | ||||||||
1288.47 | − | 4201.76i | 0.462462 | − | 1.50811i | |||||
1007.78i | 0.358992i | 0.983759 | + | 0.179496i | ||||||
−0.983759 | + | 0.179496i | ||||||||
−34.1155 | − | 364.898i | −0.0120616 | − | 0.129011i | |||||
3996.46 | + | 662.633i | 1.40243 | + | 0.232530i | |||||
−230.532 | + | 7.16587i | −0.0802978 | + | 0.00249598i | |||||
−1111.19 | −0.384187 | |||||||||
−2148.81 | − | 220.294i | −0.737486 | − | 0.0756064i | |||||
−1868.12 | −0.636466 | |||||||||
−2872.13 | + | 89.2776i | −0.971411 | + | 0.0301955i | |||||
−1372.81 | − | 468.105i | −0.460950 | − | 0.157177i | |||||
−3806.35 | + | 475.568i | −1.26886 | + | 0.158532i | |||||
1182.36i | 0.391320i | |||||||||
−1211.63 | − | 162.395i | −0.398146 | − | 0.0533636i | |||||
− | 4982.89i | − | 1.62576i | −0.582429 | − | 0.812881i | ||||
0.582429 | − | 0.812881i | ||||||||
−132.139 | − | 2123.45i | −0.0428081 | − | 0.687920i | |||||
−522.736 | + | 3152.71i | −0.168156 | + | 1.01418i | |||||
188.204 | + | 6054.69i | 0.0601187 | + | 1.93406i | |||||
−994.040 | −0.315316 | |||||||||
2924.30 | + | 1235.37i | 0.921174 | + | 0.389150i | |||||
2117.02 | 0.662270 | |||||||||
−5.95217 | − | 191.486i | −0.00184923 | − | 0.0594911i | |||||
−278.210 | + | 1677.94i | −0.0858434 | + | 0.517737i | |||||
−339.773 | − | 5460.10i | −0.104125 | − | 1.67327i | |||||
3114.51i | 0.947986i | |||||||||
4144.72 | + | 555.518i | 1.25304 | + | 0.167946i | |||||
− | 341.997i | − | 0.102699i | −0.998681 | − | 0.0513493i | ||||
0.998681 | − | 0.0513493i | ||||||||
−1251.87 | + | 196.084i | −0.373412 | + | 0.0584885i | |||||
413.909 | + | 141.137i | 0.122640 | + | 0.0418183i | |||||
3471.85 | − | 107.919i | 1.02188 | − | 0.0317641i | |||||
−1179.18 | −0.344779 | −0.172389 | − | 0.985029i | ||||||
−0.172389 | + | 0.985029i | ||||||||
−849.601 | − | 87.1003i | −0.246782 | − | 0.0252998i | |||||
−1424.43 | −0.411043 | −0.205522 | − | 0.978653i | ||||||
−0.205522 | + | 0.978653i | ||||||||
−1804.59 | + | 56.0939i | −0.517351 | + | 0.0160814i | |||||
−2065.04 | − | 342.394i | −0.588180 | − | 0.0975233i | |||||
3576.30 | − | 334.360i | 1.01205 | − | 0.0946199i | |||||
573.154i | 0.161153i | 0.996748 | + | 0.0805763i | ||||||
−0.996748 | + | 0.0805763i | ||||||||
1341.93 | − | 4376.09i | 0.374891 | − | 1.22254i | |||||
5699.27i | 1.58204i | |||||||||
1183.78 | − | 73.6650i | 0.326516 | − | 0.0203186i | |||||
2299.63 | + | 381.290i | 0.630283 | + | 0.104504i | |||||
31.9646 | + | 1028.33i | 0.00870570 | + | 0.280069i | |||||
5563.85 | 1.50584 | 0.752920 | − | 0.658112i | ||||||
0.752920 | + | 0.658112i | ||||||||
3948.45 | + | 158.077i | 1.06196 | + | 0.0425161i | |||||
4691.92 | 1.25408 | 0.627039 | − | 0.778988i | ||||||
0.627039 | + | 0.778988i | ||||||||
−174.073 | − | 5600.08i | −0.0462391 | − | 1.48755i | |||||
−2773.58 | + | 2579.95i | −0.732204 | + | 0.681086i | |||||
3806.32 | − | 236.861i | 0.998666 | − | 0.0621453i | |||||
582.248i | 0.151831i | |||||||||
306.943 | − | 2290.10i | 0.0795526 | − | 0.593542i | |||||
1231.42i | 0.317220i | |||||||||
−6813.52 | + | 637.018i | −1.74459 | + | 0.163108i | |||||
578.098 | − | 3486.61i | 0.147130 | − | 0.887369i | |||||
−3655.02 | + | 113.613i | −0.924655 | + | 0.0287421i | |||||
4505.81 | 1.13308 | 0.566542 | − | 0.824033i | ||||||
0.566542 | + | 0.824033i | ||||||||
398.155 | − | 1458.64i | 0.0995294 | − | 0.364625i | |||||
−3091.49 | −0.768222 | |||||||||
3219.61 | − | 100.079i | 0.795339 | − | 0.0247224i | |||||
524.808 | − | 3165.21i | 0.128881 | − | 0.777306i | |||||
3970.09 | − | 1007.78i | 0.969260 | − | 0.246040i | |||||
1625.67i | 0.394578i | 0.980345 | + | 0.197289i | ||||||
−0.980345 | + | 0.197289i | ||||||||
163.326 | − | 1218.57i | 0.0394117 | − | 0.294051i | |||||
− | 1991.74i | − | 0.477840i | |||||||
−353.870 | − | 5686.64i | −0.0844080 | − | 1.35642i | |||||
−1383.26 | + | 4056.65i | −0.328051 | + | 0.962071i | |||||
135.173 | + | 4348.63i | 0.0318742 | + | 1.02542i | |||||
−2356.53 | −0.552509 | −0.276254 | − | 0.961085i | ||||||
−0.276254 | + | 0.961085i | ||||||||
6749.26 | + | 480.602i | 1.57344 | + | 0.112042i | |||||
3160.12 | 0.732545 | |||||||||
12.6382 | + | 406.581i | 0.00291315 | + | 0.0937183i | |||||
2117.98 | + | 351.173i | 0.485463 | + | 0.0804922i | |||||
387.366 | + | 6224.91i | 0.0882916 | + | 1.41883i | |||||
− | 2337.79i | − | 0.529880i | −0.964265 | − | 0.264940i | ||||
0.964265 | − | 0.264940i | ||||||||
−2101.16 | + | 4221.20i | −0.473602 | + | 0.951459i | |||||
1373.37i | 0.307846i | 0.988083 | + | 0.153923i | ||||||
−0.988083 | + | 0.153923i | ||||||||
−412.304 | − | 3300.00i | −0.0919102 | − | 0.735632i | |||||
−2150.72 | − | 356.600i | −0.476804 | − | 0.0790565i | |||||
−5331.12 | + | 165.713i | −1.17542 | + | 0.0365368i | |||||
932.102 | 0.204392 | |||||||||
227.738 | − | 2221.42i | 0.0496675 | − | 0.484471i | |||||
1893.14 | 0.410642 | 0.205321 | − | 0.978695i | ||||||
0.205321 | + | 0.978695i | ||||||||
−1992.58 | + | 61.9375i | −0.429881 | + | 0.0133625i | |||||
2635.36 | − | 7728.68i | 0.565502 | − | 1.65844i | |||||
−175.201 | − | 1873.94i | −0.0373937 | − | 0.399962i | |||||
− | 3960.77i | − | 0.840852i | −0.907327 | − | 0.420426i | ||||
0.907327 | − | 0.420426i | ||||||||
−6986.63 | − | 936.420i | −1.47535 | − | 0.197741i | |||||
− | 3479.48i | − | 0.730860i | −0.930839 | − | 0.365430i | ||||
0.930839 | − | 0.365430i | ||||||||
−4910.69 | + | 305.584i | −1.02604 | + | 0.0638488i | |||||
207.499 | − | 1251.47i | 0.0431270 | − | 0.260107i | |||||
−303.112 | − | 9751.37i | −0.0626693 | − | 2.01612i | |||||
−1100.50 | −0.226344 | |||||||||
−842.535 | + | 4814.35i | −0.172385 | + | 0.985030i | |||||
2212.81 | 0.450398 | |||||||||
165.758 | + | 5332.57i | 0.0335643 | + | 1.07979i | |||||
−469.954 | + | 2834.37i | −0.0946707 | + | 0.570975i | |||||
−2613.56 | + | 162.638i | −0.523792 | + | 0.0325947i | |||||
1778.78i | 0.354667i | 0.984151 | + | 0.177334i | ||||||
−0.984151 | + | 0.177334i | ||||||||
−713.767 | − | 95.6665i | −0.141591 | − | 0.0189775i | |||||
1761.71i | 0.347697i | |||||||||
599.322 | + | 6410.32i | 0.117685 | + | 1.25876i | |||||
−3820.65 | + | 7112.69i | −0.746453 | + | 1.38963i | |||||
−5726.07 | + | 177.990i | −1.11309 | + | 0.0345995i | |||||
−3219.75 | −0.622753 | |||||||||
−68.6645 | + | 669.773i | −0.0132145 | + | 0.128898i | |||||
−585.584 | −0.112135 | |||||||||
−3769.08 | + | 117.158i | −0.718166 | + | 0.0223235i | |||||
418.011 | + | 69.3084i | 0.0792545 | + | 0.0131408i | |||||
−163.017 | − | 1304.76i | −0.0307555 | − | 0.246161i | |||||
5664.56i | 1.06345i | |||||||||
3793.94 | + | 1163.41i | 0.708775 | + | 0.217346i | |||||
− | 25.4001i | − | 0.00472203i | −0.999997 | − | 0.00236101i | ||||
0.999997 | − | 0.00236101i | ||||||||
−200.159 | − | 3216.52i | −0.0370295 | − | 0.595059i | |||||
5207.89 | + | 863.495i | 0.958791 | + | 0.158972i | |||||
−315.800 | − | 10159.5i | −0.0578588 | − | 1.86136i | |||||
3038.33 | 0.553981 | 0.276991 | − | 0.960873i | ||||||
0.276991 | + | 0.960873i | ||||||||
7029.29 | + | 500.542i | 1.27550 | + | 0.0908256i | |||||
−8947.92 | −1.61587 | −0.807934 | − | 0.589274i | ||||||
−0.807934 | + | 0.589274i | ||||||||
173.747 | + | 5589.58i | 0.0312265 | + | 1.00458i | |||||
2125.64 | + | 724.810i | 0.380210 | + | 0.129646i | |||||
222.897 | + | 3581.92i | 0.0396801 | + | 0.637654i | |||||
10.5693i | 0.00187266i | 1.00000 | 0.000936328i | |||||||
−1.00000 | 0.000936328i | |||||||||
−519.224 | + | 3873.93i | −0.0915617 | + | 0.683142i | |||||
9135.37i | 1.60339i | |||||||||
1127.75 | + | 5978.46i | 0.197010 | + | 1.04439i | |||||
1820.32 | − | 10978.7i | 0.316512 | − | 1.90894i | |||||
−1063.07 | + | 33.0447i | −0.183984 | + | 0.00571897i | |||||
−1067.61 | −0.183911 | |||||||||
−4829.46 | − | 3269.34i | −0.828096 | − | 0.560586i | |||||
970.775 | 0.165689 | |||||||||
4744.93 | − | 147.492i | 0.806127 | − | 0.0250577i | |||||
−57.5695 | + | 347.212i | −0.00973579 | + | 0.0587182i | |||||
3541.92 | − | 331.146i | 0.596249 | − | 0.0557453i | |||||
3357.41i | 0.562615i | |||||||||
−1335.10 | + | 9961.17i | −0.222711 | + | 1.66165i | |||||
− | 7153.70i | − | 1.18792i | −0.804493 | − | 0.593962i | ||||
0.804493 | − | 0.593962i | ||||||||
5430.77 | − | 337.948i | 0.897747 | − | 0.0558653i | |||||
−7271.32 | − | 2479.41i | −1.19659 | − | 0.408020i | |||||
257.777 | + | 8292.89i | 0.0422303 | + | 1.35858i | |||||
−9263.92 | −1.51087 | |||||||||
2326.01 | + | 93.1227i | 0.377662 | + | 0.0151198i | |||||
−8329.05 | −1.34633 | −0.673163 | − | 0.739494i | ||||||
−0.673163 | + | 0.739494i | ||||||||
−122.624 | − | 3944.90i | −0.0197333 | − | 0.634835i | |||||
−6295.33 | − | 1043.80i | −1.00860 | − | 0.167231i | |||||
4930.15 | − | 306.795i | 0.786397 | − | 0.0489362i | |||||
− | 17404.6i | − | 2.76396i | |||||||
1500.05 | + | 459.992i | 0.237174 | + | 0.0727296i | |||||
343.000i | 0.0539949i | |||||||||
1884.68 | − | 176.205i | 0.295392 | − | 0.0276172i | |||||
3272.16 | + | 542.542i | 0.510630 | + | 0.0846651i | |||||
5753.68 | − | 178.848i | 0.893988 | − | 0.0277888i | |||||
4245.62 | 0.656821 | 0.328411 | − | 0.944535i | ||||||
0.328411 | + | 0.944535i | ||||||||
−6564.33 | − | 672.969i | −1.01116 | − | 0.103664i | |||||
−6998.42 | −1.07340 | −0.536700 | − | 0.843773i | ||||||
−0.536700 | + | 0.843773i | ||||||||
320.523 | − | 9.96317i | 0.0489505 | − | 0.00152158i | |||||
−3979.17 | + | 7407.80i | −0.605106 | + | 1.12649i | |||||
1612.06 | + | 10292.0i | 0.244100 | + | 1.55842i | |||||
− | 6706.36i | − | 1.01117i | −0.862776 | − | 0.505586i | ||||
0.862776 | − | 0.505586i | ||||||||
−2159.65 | − | 289.458i | −0.324248 | − | 0.0434591i | |||||
− | 7308.09i | − | 1.09260i | |||||||
205.290 | + | 3298.99i | 0.0305628 | + | 0.491140i | |||||
309.162 | − | 1864.61i | 0.0458336 | − | 0.276431i | |||||
−319.244 | − | 10270.3i | −0.0471301 | − | 1.51621i | |||||
2823.78 | 0.415135 | 0.207567 | − | 0.978221i | ||||||
0.207567 | + | 0.978221i | ||||||||
−7059.36 | − | 1693.15i | −1.03350 | − | 0.247881i | |||||
6436.89 | 0.938459 | |||||||||
183.338 | + | 5898.12i | 0.0266188 | + | 0.856348i | |||||
−1683.64 | + | 10154.3i | −0.243439 | + | 1.46822i | |||||
−208.463 | − | 3349.97i | −0.0300177 | − | 0.482380i | |||||
− | 3889.51i | − | 0.557770i | |||||||
−6944.08 | − | 930.717i | −0.991729 | − | 0.132922i | |||||
− | 4911.38i | − | 0.698561i | −0.937018 | − | 0.349280i | ||||
0.937018 | − | 0.349280i | ||||||||
3411.51 | − | 426.235i | 0.483253 | − | 0.0603779i | |||||
−1369.96 | + | 4017.65i | −0.193271 | + | 0.566804i | |||||
−9558.33 | + | 297.112i | −1.34301 | + | 0.0417463i | |||||
1861.61 | 0.260512 | |||||||||
12506.3 | + | 1282.13i | 1.74306 | + | 0.178697i | |||||
−1837.65 | −0.255094 | −0.127547 | − | 0.991833i | ||||||
−0.127547 | + | 0.991833i | ||||||||
8454.15 | − | 262.790i | 1.16886 | − | 0.0363330i | |||||
6627.46 | + | 1098.87i | 0.912642 | + | 0.151321i | |||||
−1010.26 | − | 10805.7i | −0.138564 | − | 1.48208i | |||||
9514.40i | 1.29978i | |||||||||
−1237.78 | + | 2486.69i | −0.168425 | + | 0.338364i | |||||
− | 2325.05i | − | 0.315118i | −0.987510 | − | 0.157559i | ||||
0.987510 | − | 0.157559i | ||||||||
1949.29 | − | 121.301i | 0.263149 | − | 0.0163753i | |||||
−5837.95 | − | 967.963i | −0.785006 | − | 0.130158i | |||||
−102.861 | − | 3309.12i | −0.0137770 | − | 0.443218i | |||||
9467.13 | 1.26305 | 0.631525 | − | 0.775356i | ||||||
0.631525 | + | 0.775356i | ||||||||
−7514.18 | + | 400.195i | −0.998585 | + | 0.0531832i | |||||
4786.83 | 0.633661 | |||||||||
−209.728 | − | 6747.11i | −0.0276551 | − | 0.889686i | |||||
−728.962 | + | 2137.82i | −0.0957500 | + | 0.280805i | |||||
−4414.84 | + | 274.728i | −0.577653 | + | 0.0359464i | |||||
3593.30i | 0.468348i | 0.972195 | + | 0.234174i | ||||||
−0.972195 | + | 0.234174i | ||||||||
−1390.49 | + | 10374.5i | −0.180539 | + | 1.34700i | |||||
− | 2791.43i | − | 0.361046i | |||||||
−103.210 | − | 1103.93i | −0.0132982 | − | 0.142237i | |||||
1307.40 | − | 7885.15i | 0.167811 | − | 1.01210i | |||||
13001.1 | − | 404.129i | 1.66241 | − | 0.0516744i | |||||
−5330.61 | −0.679019 | |||||||||
−11991.8 | − | 3273.34i | −1.52175 | − | 0.415383i | |||||
12570.5 | 1.58916 | 0.794578 | − | 0.607163i | ||||||
0.794578 | + | 0.607163i | ||||||||
2849.05 | − | 88.5600i | 0.358819 | − | 0.0111536i | |||||
122.237 | − | 737.233i | 0.0153371 | − | 0.0925007i | |||||
−1028.59 | + | 128.513i | −0.128574 | + | 0.0160641i | |||||
− | 12634.4i | − | 1.57340i | −0.617338 | − | 0.786698i | ||||
0.617338 | − | 0.786698i | ||||||||
1522.11 | − | 11356.5i | 0.188846 | − | 1.40898i | |||||
− | 18126.7i | − | 2.24059i | |||||||
40.5167 | + | 651.097i | 0.00498956 | + | 0.0801815i | |||||
5292.18 | − | 6857.88i | 0.649310 | − | 0.841409i | |||||
97.6474 | + | 3141.39i | 0.0119363 | + | 0.384002i | |||||
−16374.6 | −1.99425 | |||||||||
−433.955 | + | 6094.19i | −0.0526569 | + | 0.739479i | |||||
12338.3 | 1.49167 | 0.745834 | − | 0.666132i | ||||||
0.745834 | + | 0.666132i | ||||||||
164.165 | + | 5281.30i | 0.0197744 | + | 0.636158i | |||||
9666.65 | + | 1602.78i | 1.16015 | + | 0.192359i | |||||
504.786 | + | 8111.84i | 0.0603618 | + | 0.970004i | |||||
1037.82i | 0.123650i | |||||||||
−1202.73 | + | 3922.14i | −0.142779 | + | 0.465610i | |||||
8082.07i | 0.955984i | |||||||||
1678.95 | + | 10719.0i | 0.197878 | + | 1.26332i | |||||
3613.04 | + | 599.061i | 0.424296 | + | 0.0703505i | |||||
3342.62 | − | 103.902i | 0.391131 | − | 0.0121579i | |||||
10572.5 | 1.23270 | 0.616348 | − | 0.787474i | ||||||
0.616348 | + | 0.787474i | ||||||||
−352.628 | + | 3439.63i | −0.0409678 | + | 0.399611i | |||||
6245.67 | 0.723030 | 0.361515 | − | 0.932366i | ||||||
0.361515 | + | 0.932366i | ||||||||
−14086.9 | + | 437.879i | −1.62498 | + | 0.0505110i | |||||
12257.1 | + | 4179.46i | 1.40888 | + | 0.480408i | |||||
−5991.51 | + | 560.166i | −0.686258 | + | 0.0641605i | |||||
841.635i | 0.0960595i | |||||||||
8958.85 | + | 1200.76i | 1.01891 | + | 0.136565i | |||||
3336.97i | 0.378190i | |||||||||
17100.4 | − | 1064.13i | 1.93126 | − | 0.120179i | |||||
−2931.71 | + | 17681.7i | −0.329940 | + | 1.98993i | |||||
87.3529 | + | 2810.21i | 0.00979658 | + | 0.315164i | |||||
−9318.09 | −1.04138 | −0.520692 | − | 0.853745i | ||||||
−0.520692 | + | 0.853745i | ||||||||
3235.49 | − | 8375.75i | 0.360342 | − | 0.932820i | |||||
−13699.1 | −1.52041 | −0.760204 | − | 0.649685i | ||||||
−0.760204 | + | 0.649685i | ||||||||
−186.036 | − | 5984.94i | −0.0205761 | − | 0.661950i | |||||
1603.22 | − | 9669.27i | 0.176709 | − | 1.06576i | |||||
−540.820 | + | 33.6543i | −0.0594050 | + | 0.00369667i | |||||
− | 1103.68i | − | 0.120815i | |||||||
4768.07 | + | 639.066i | 0.520154 | + | 0.0697164i | |||||
7199.35i | 0.782702i | 0.920242 | + | 0.391351i | ||||||
−0.920242 | + | 0.391351i | ||||||||
−15406.2 | + | 1440.37i | −1.66923 | + | 0.156062i | |||||
1252.20 | + | 426.982i | 0.135213 | + | 0.0461054i | |||||
8804.92 | − | 273.693i | 0.947528 | − | 0.0294531i | |||||
−15697.3 | −1.68353 | −0.841763 | − | 0.539847i | ||||||
−0.841763 | + | 0.539847i | ||||||||
1206.26 | − | 11766.2i | 0.128934 | − | 1.25765i | |||||
−4909.55 | −0.523000 | |||||||||
−966.846 | + | 30.0535i | −0.102649 | + | 0.00319075i | |||||
10382.8 | + | 1721.52i | 1.09863 | + | 0.182159i | |||||
664.353 | + | 3521.89i | 0.0700619 | + | 0.371414i | |||||
16461.7i | 1.73024i | 0.501567 | + | 0.865119i | ||||||
−0.501567 | + | 0.865119i | ||||||||
362.629 | − | 1182.55i | 0.0379878 | − | 0.123880i | |||||
9047.55i | 0.944639i | |||||||||
−610.189 | − | 9805.65i | −0.0634975 | − | 1.02040i | |||||
6834.28 | + | 1133.16i | 0.708836 | + | 0.117529i | |||||
103.622 | + | 3333.61i | 0.0107120 | + | 0.344612i | |||||
4985.43 | 0.513672 | |||||||||
−171.578 | + | 2409.53i | −0.0176203 | + | 0.247449i | |||||
4880.98 | 0.499612 | 0.249806 | − | 0.968296i | ||||||
0.249806 | + | 0.968296i | ||||||||
125.174 | + | 4026.95i | 0.0127707 | + | 0.410845i | |||||
−6422.35 | − | 3449.82i | −0.653093 | − | 0.350815i | |||||
317.162 | + | 5096.75i | 0.0321473 | + | 0.516602i | |||||
10228.4i | 1.03337i | 0.856176 | + | 0.516685i | ||||||
−0.856176 | + | 0.516685i | ||||||||
−786.501 | + | 5868.08i | −0.0792020 | + | 0.590926i | |||||
10248.4i | 1.02869i | 0.857584 | + | 0.514345i | ||||||
−0.857584 | + | 0.514345i | ||||||||
−1259.53 | − | 10081.0i | −0.126018 | − | 1.00862i | |||||
−3054.43 | + | 18421.8i | −0.304614 | + | 1.83718i | |||||
1620.34 | − | 50.3669i | 0.161075 | − | 0.00500687i | |||||
4813.88 | 0.477002 | 0.238501 | − | 0.971142i | ||||||
0.238501 | + | 0.971142i | ||||||||
−12489.4 | − | 3409.16i | −1.23359 | − | 0.336727i | |||||
−5457.33 | −0.537305 | |||||||||
16112.2 | − | 500.833i | 1.58128 | − | 0.0491525i | |||||
1680.48 | − | 10135.3i | 0.164400 | − | 0.991528i | |||||
−312.282 | − | 3340.16i | −0.0304533 | − | 0.325727i | |||||
4814.25i | 0.467991i | |||||||||
875.848 | − | 6534.70i | 0.0848714 | − | 0.633225i | |||||
332.767i | 0.0321440i | |||||||||
2904.33 | − | 180.732i | 0.279664 | − | 0.0174030i | |||||
2317.42 | − | 6796.26i | 0.222447 | − | 0.652368i | |||||
−488.933 | − | 15729.4i | −0.0467851 | − | 1.50511i | |||||
−11369.2 | −1.08450 | −0.542249 | − | 0.840218i | ||||||
−0.542249 | + | 0.840218i | ||||||||
99.9182 | − | 11176.4i | 0.00950129 | − | 1.06277i | |||||
−17054.0 | −1.61663 | |||||||||
−412.310 | − | 13264.3i | −0.0389631 | − | 1.25347i | |||||
1927.62 | + | 319.609i | 0.181593 | + | 0.0301091i | |||||
−15816.5 | + | 984.232i | −1.48539 | + | 0.0924335i | |||||
− | 6570.17i | − | 0.615125i | |||||||
7537.41 | + | 7614.37i | 0.703506 | + | 0.710689i | |||||
− | 4160.42i | − | 0.387118i | −0.981089 | − | 0.193559i | ||||
0.981089 | − | 0.193559i | ||||||||
−1004.11 | − | 10739.9i | −0.0931429 | − | 0.996253i | |||||
−8603.74 | − | 1426.54i | −0.795653 | − | 0.131923i | |||||
1646.05 | − | 51.1661i | 0.151757 | − | 0.00471724i | |||||
−15620.4 | −1.43572 | −0.717862 | − | 0.696185i | ||||||
−0.717862 | + | 0.696185i | ||||||||
−6501.22 | − | 666.499i | −0.595727 | − | 0.0610734i | |||||
−8248.72 | −0.753557 | |||||||||
3481.30 | − | 108.213i | 0.317067 | − | 0.00985575i | |||||
5958.86 | − | 17475.5i | 0.541073 | − | 1.58680i | |||||
2399.64 | + | 19206.3i | 0.217232 | + | 1.73868i | |||||
− | 4305.16i | − | 0.388557i | |||||||
−9907.66 | − | 1327.93i | −0.891512 | − | 0.119490i | |||||
4722.33i | 0.423648i | 0.977308 | + | 0.211824i | ||||||
−0.977308 | + | 0.211824i | ||||||||
642.382 | + | 10323.0i | 0.0574564 | + | 0.923315i | |||||
2493.22 | − | 15037.1i | 0.222333 | − | 1.34093i | |||||
−395.956 | − | 12738.2i | −0.0352039 | − | 1.13254i | |||||
−647.849 | −0.0574278 | −0.0287139 | − | 0.999588i | ||||||
−0.0287139 | + | 0.999588i | ||||||||
−4158.64 | − | 997.429i | −0.367541 | − | 0.0881528i | |||||
−968.964 | −0.0853828 | |||||||||
271.670 | + | 8739.82i | 0.0238680 | + | 0.767851i | |||||
−1186.02 | + | 7153.08i | −0.103891 | + | 0.626587i | |||||
−565.857 | − | 9093.24i | −0.0494210 | − | 0.794187i | |||||
17395.7i | 1.51483i | 0.652932 | + | 0.757417i | ||||||
−0.652932 | + | 0.757417i | ||||||||
−8994.36 | − | 1205.52i | −0.780935 | − | 0.104669i | |||||
− | 2291.29i | − | 0.198358i | |||||||
−3197.94 | − | 11135.1i | −0.276035 | − | 0.961147i | |||||
−2539.28 | − | 1364.00i | −0.218542 | − | 0.117392i | |||||
4595.87 | − | 142.858i | 0.394387 | − | 0.0122592i | |||||
−12072.1 | −1.03293 | |||||||||
−3459.34 | − | 354.648i | −0.295133 | − | 0.0302568i | |||||
27602.2 | 2.34806 | |||||||||
−5630.77 | + | 175.027i | −0.477610 | + | 0.0148461i | |||||
−10432.9 | − | 1729.82i | −0.882373 | − | 0.146302i | |||||
−16045.4 | + | 1500.14i | −1.35315 | + | 0.126510i | |||||
− | 15959.1i | − | 1.34200i | −0.741458 | − | 0.670999i | ||||
0.741458 | − | 0.670999i | ||||||||
11590.0 | + | 3554.06i | 0.971799 | + | 0.298002i | |||||
− | 5571.06i | − | 0.465784i | −0.972503 | − | 0.232892i | ||||
0.972503 | − | 0.232892i | ||||||||
12282.0 | − | 764.287i | 1.02393 | − | 0.0637176i | |||||
−581.188 | − | 96.3640i | −0.0483146 | − | 0.00801080i | |||||
207.084 | + | 6662.05i | 0.0171659 | + | 0.552242i | |||||
15715.3 | 1.29900 | |||||||||
765.588 | − | 19122.8i | 0.0631021 | − | 1.57616i | |||||
−9281.24 | −0.762821 | |||||||||
−277.701 | − | 8933.85i | −0.0227595 | − | 0.732192i | |||||
3788.80 | + | 1291.92i | 0.309642 | + | 0.105583i | |||||
1148.32 | − | 71.4580i | 0.0935826 | − | 0.00582349i | |||||
9422.93i | 0.765765i | |||||||||
806.665 | − | 6018.53i | 0.0653705 | − | 0.487729i | |||||
25448.9i | 2.05654i | |||||||||
17564.2 | − | 1642.13i | 1.41540 | − | 0.132331i | |||||
−3087.73 | + | 18622.7i | −0.248130 | + | 1.49651i | |||||
−6609.08 | + | 205.437i | −0.529624 | + | 0.0164629i | |||||
2819.90 | 0.225346 | |||||||||
12118.2 | + | 5569.16i | 0.965714 | + | 0.443812i | |||||
4627.15 | 0.367721 | 0.183860 | − | 0.982952i | ||||||
0.183860 | + | 0.982952i | ||||||||
3882.60 | − | 120.687i | 0.307698 | − | 0.00956450i | |||||
1773.25 | − | 10694.8i | 0.140142 | − | 0.845223i | |||||
−9293.07 | + | 1455.60i | −0.732421 | + | 0.114721i | |||||
− | 804.848i | − | 0.0632586i | |||||||
−819.133 | + | 6111.55i | −0.0642045 | + | 0.479030i | |||||
4288.22i | 0.335194i | 0.985856 | + | 0.167597i | ||||||
−0.985856 | + | 0.167597i | ||||||||
936.962 | + | 15056.8i | 0.0730384 | + | 1.17372i | |||||
12182.4 | + | 4154.01i | 0.947054 | + | 0.322931i | |||||
−81.9100 | − | 2635.11i | −0.00635028 | − | 0.204294i | |||||
−3261.39 | −0.252159 | |||||||||
−6300.12 | − | 448.619i | −0.485780 | − | 0.0345915i | |||||
−3140.24 | −0.241477 | |||||||||
−166.363 | − | 5352.02i | −0.0127583 | − | 0.410443i | |||||
17331.6 | + | 2873.67i | 1.32556 | + | 0.219785i | |||||
350.202 | + | 5627.70i | 0.0267120 | + | 0.429258i | |||||
13183.7i | 1.00289i | 0.865189 | + | 0.501446i | ||||||
−0.865189 | + | 0.501446i | ||||||||
−22081.1 | − | 6771.16i | −1.67521 | − | 0.513702i | |||||
5014.00i | 0.379373i | |||||||||
−5282.34 | + | 659.979i | −0.398607 | + | 0.0498021i | |||||
−15329.5 | − | 2541.71i | −1.15367 | − | 0.191285i | |||||
−11197.3 | + | 348.059i | −0.840446 | + | 0.0261245i | |||||
5054.25 | 0.378350 | 0.189175 | − | 0.981943i | ||||||
0.189175 | + | 0.981943i | ||||||||
−2033.35 | + | 19833.9i | −0.151808 | + | 1.48078i | |||||
14592.8 | 1.08659 | |||||||||
−9836.70 | + | 305.765i | −0.730508 | + | 0.0227072i | |||||
3117.60 | − | 4039.95i | 0.230912 | − | 0.299227i | |||||
1295.44 | + | 13856.0i | 0.0956962 | + | 1.02356i | |||||
− | 1790.71i | − | 0.131934i | −0.997822 | − | 0.0659671i | ||||
0.997822 | − | 0.0659671i | ||||||||
−3556.20 | − | 476.639i | −0.261321 | − | 0.0350249i | |||||
− | 10998.7i | − | 0.806099i | −0.915178 | − | 0.403049i | ||||
0.915178 | − | 0.403049i | ||||||||
−27541.1 | + | 1713.84i | −2.01320 | + | 0.125278i | |||||
−994.875 | + | 6000.26i | −0.0725332 | + | 0.437460i | |||||
96.7086 | + | 3111.19i | 0.00703230 | + | 0.226235i | |||||
−870.074 | −0.0631036 | |||||||||
13684.5 | + | 1958.83i | 0.989910 | + | 0.141698i | |||||
−25965.2 | −1.87339 | −0.936695 | − | 0.350147i | ||||||
−0.936695 | + | 0.350147i | ||||||||
−194.454 | − | 6255.74i | −0.0139935 | − | 0.450181i | |||||
−2028.49 | + | 12234.2i | −0.145598 | + | 0.878127i | |||||
15060.9 | − | 937.217i | 1.07823 | − | 0.0670962i | |||||
4761.11i | 0.339973i | |||||||||
8054.24 | + | 1079.51i | 0.573641 | + | 0.0768853i | |||||
− | 15304.8i | − | 1.08724i | |||||||
689.458 | + | 7374.41i | 0.0488527 | + | 0.522526i | |||||
6206.10 | − | 18200.5i | 0.438616 | − | 1.28632i | |||||
5028.72 | − | 156.313i | 0.354496 | − | 0.0110192i | |||||
11193.8 | 0.787084 | 0.393542 | − | 0.919307i | ||||||
0.393542 | + | 0.919307i | ||||||||
−207.731 | + | 2026.27i | −0.0145692 | + | 0.142112i | |||||
6213.55 | 0.434678 | |||||||||
4980.46 | − | 154.813i | 0.347529 | − | 0.0108026i | |||||
−23574.3 | − | 3908.74i | −1.64081 | − | 0.272054i | |||||
18069.7 | − | 2257.64i | 1.25449 | − | 0.156737i | |||||
− | 14750.7i | − | 1.02148i | −0.859735 | − | 0.510740i | ||||
0.859735 | − | 0.510740i | ||||||||
20443.8 | + | 10176.2i | 1.41215 | + | 0.702918i | |||||
4322.23i | 0.297805i | |||||||||
1006.38 | + | 16172.3i | 0.0691657 | + | 1.11148i | |||||
−5166.03 | − | 856.555i | −0.354157 | − | 0.0587210i | |||||
282.941 | + | 9102.44i | 0.0193484 | + | 0.622452i | |||||
5736.96 | 0.391329 | 0.195664 | − | 0.980671i | ||||||
0.195664 | + | 0.980671i | ||||||||
1899.52 | + | 135.261i | 0.129246 | + | 0.00920337i | |||||
11522.6 | 0.782054 | 0.391027 | − | 0.920379i | ||||||
0.391027 | + | 0.920379i | ||||||||
51.4592 | + | 1655.48i | 0.00348392 | + | 0.112081i | |||||
−6793.54 | + | 19923.3i | −0.458797 | + | 1.34551i | |||||
662.428 | + | 10645.1i | 0.0446255 | + | 0.717126i | |||||
− | 23538.1i | − | 1.58175i | |||||||
159.206 | − | 1187.83i | 0.0106721 | − | 0.0796245i | |||||
− | 18497.3i | − | 1.23687i | −0.785835 | − | 0.618436i | ||||
0.785835 | − | 0.618436i | ||||||||
−3674.31 | + | 575.517i | −0.245087 | + | 0.0383887i | |||||
944.447 | − | 5696.13i | 0.0628423 | − | 0.379013i | |||||
16014.1 | − | 497.783i | 1.06294 | − | 0.0330404i | |||||
28747.5 | 1.90343 | |||||||||
2955.64 | − | 10827.9i | 0.195220 | − | 0.715186i | |||||
8751.26 | 0.576607 | 0.288304 | − | 0.957539i | ||||||
0.288304 | + | 0.957539i | ||||||||
−71.8077 | + | 2.23208i | −0.00471975 | + | 0.000146709i | |||||
1587.80 | − | 9576.32i | 0.104108 | − | 0.627893i | |||||
−9075.71 | + | 848.518i | −0.593621 | + | 0.0554996i | |||||
14023.7i | 0.915030i | 0.889202 | + | 0.457515i | ||||||
−0.889202 | + | 0.457515i | ||||||||
1983.50 | − | 14798.9i | 0.129107 | − | 0.963267i | |||||
− | 20122.5i | − | 1.30661i | −0.757096 | − | 0.653304i | ||||
0.757096 | − | 0.653304i | ||||||||
−28693.9 | + | 1785.57i | −1.85867 | + | 0.115662i | |||||
3566.40 | − | 6639.37i | 0.230458 | − | 0.429032i | |||||
−266.999 | − | 8589.56i | −0.0172117 | − | 0.553714i | |||||
−2892.20 | −0.185993 | |||||||||
797.352 | − | 19916.2i | 0.0511533 | − | 1.27770i | |||||
−17387.3 | −1.11278 | |||||||||
786.314 | + | 25296.3i | 0.0502035 | + | 1.61509i | |||||
−6060.99 | − | 1004.94i | −0.386049 | − | 0.0640089i | |||||
15786.8 | − | 982.387i | 1.00312 | − | 0.0624228i | |||||
− | 14785.4i | − | 0.937251i | |||||||
1862.29 | − | 6073.00i | 0.117770 | − | 0.384054i | |||||
15050.4i | 0.949523i | 0.880115 | + | 0.474761i | ||||||
−0.880115 | + | 0.474761i | ||||||||
10106.7 | − | 944.910i | 0.636113 | − | 0.0594723i | |||||
25543.1 | + | 4235.18i | 1.60387 | + | 0.265929i | |||||
29.8801 | − | 0.928797i | 0.00187175 | − | 5.81817e-5i | |||||
13532.6 | 0.845706 | |||||||||
10997.5 | + | 1127.45i | 0.685657 | + | 0.0702929i | |||||
2936.90 | 0.182675 | |||||||||
25826.3 | − | 802.786i | 1.60262 | − | 0.0498160i | |||||
−15717.0 | − | 5359.27i | −0.973015 | − | 0.331783i | |||||
16802.4 | − | 3713.59i | 1.03777 | − | 0.229363i | |||||
− | 12990.3i | − | 0.800444i | −0.916418 | − | 0.400222i | ||||
0.916418 | − | 0.400222i | ||||||||
−31197.3 | − | 4181.38i | −1.91785 | − | 0.257050i | |||||
13304.0i | 0.815956i | 0.912992 | + | 0.407978i | ||||||
−0.912992 | + | 0.407978i | ||||||||
186.839 | + | 3002.47i | 0.0114324 | + | 0.183717i | |||||
844.879 | − | 5095.61i | 0.0515769 | − | 0.311069i | |||||
93.8177 | + | 3018.19i | 0.00571394 | + | 0.183822i | |||||
−11304.7 | −0.686912 | −0.343456 | − | 0.939169i | ||||||
−0.343456 | + | 0.939169i | ||||||||
−8818.22 | + | 13940.5i | −0.534587 | + | 0.845113i | |||||
8532.17 | 0.516051 | |||||||||
−85.3085 | − | 2744.44i | −0.00514781 | − | 0.165609i | |||||
−1799.35 | + | 10852.2i | −0.108329 | + | 0.653350i | |||||
−833.937 | − | 13401.2i | −0.0500912 | − | 0.804959i | |||||
− | 19130.0i | − | 1.14643i | −0.819407 | − | 0.573213i | ||||
0.819407 | − | 0.573213i | ||||||||
986.648 | + | 132.241i | 0.0589924 | + | 0.00790676i | |||||
18278.0i | 1.09035i | |||||||||
−1247.42 | − | 9984.12i | −0.0742433 | − | 0.594229i | |||||
−8364.91 | − | 2852.31i | −0.496722 | − | 0.169374i | |||||
9491.62 | − | 295.038i | 0.562343 | − | 0.0174799i | |||||
−23752.1 | −1.40402 | −0.702011 | − | 0.712166i | ||||||
−0.702011 | + | 0.712166i | ||||||||
28278.2 | + | 2899.05i | 1.66777 | + | 0.170978i | |||||
7980.69 | 0.469611 | 0.234805 | − | 0.972042i | ||||||
0.234805 | + | 0.972042i | ||||||||
−20224.0 | + | 628.643i | −1.18735 | + | 0.0369077i | |||||
−15965.5 | − | 2647.16i | −0.935218 | − | 0.155064i | |||||
−1432.64 | − | 15323.4i | −0.0837306 | − | 0.895578i | |||||
1708.93i | 0.0996533i | |||||||||
−6370.46 | + | 20774.4i | −0.370646 | + | 1.20869i | |||||
− | 8527.44i | − | 0.495028i | |||||||
23421.8 | − | 1457.50i | 1.35661 | − | 0.0844199i | |||||
1753.13 | + | 290.678i | 0.101315 | + | 0.0167986i | |||||
814.082 | + | 26189.7i | 0.0469414 | + | 1.51014i | |||||
27434.2 | 1.57837 | |||||||||
58.8614 | − | 6583.97i | 0.00337891 | − | 0.377949i | |||||
8141.43 | 0.466313 | 0.233157 | − | 0.972439i | ||||||
0.233157 | + | 0.972439i | ||||||||
731.929 | + | 23546.7i | 0.0418292 | + | 1.34568i | |||||
−1075.29 | + | 2001.81i | −0.0613155 | + | 0.114148i | |||||
−11141.7 | + | 693.329i | −0.633915 | + | 0.0394475i | |||||
8089.20i | 0.459222i | 0.973283 | + | 0.229611i | ||||||
−0.973283 | + | 0.229611i | ||||||||
−2397.67 | + | 17889.0i | −0.135814 | + | 1.01331i | |||||
− | 3870.46i | − | 0.218755i | |||||||
−1300.57 | − | 13910.9i | −0.0733452 | − | 0.784497i | |||||
1002.24 | − | 6044.66i | 0.0563961 | − | 0.340135i | |||||
−49203.9 | + | 1529.46i | −2.76263 | + | 0.0858739i | |||||
−1228.57 | −0.0688287 | −0.0344143 | − | 0.999408i | ||||||
−0.0344143 | + | 0.999408i | ||||||||
1168.61 | − | 4281.17i | 0.0653257 | − | 0.239320i | |||||
−22407.6 | −1.24986 | |||||||||
969.682 | − | 30.1417i | 0.0539689 | − | 0.00167757i | |||||
1210.69 | − | 7301.86i | 0.0672351 | − | 0.405507i | |||||
−663.760 | − | 5312.61i | −0.0367814 | − | 0.294392i | |||||
− | 15939.8i | − | 0.881363i | |||||||
1246.25 | − | 9298.28i | 0.0687594 | − | 0.513014i | |||||
16599.3i | 0.913844i | 0.889507 | + | 0.456922i | ||||||
−0.889507 | + | 0.456922i | ||||||||
−1011.23 | − | 16250.3i | −0.0555508 | − | 0.892693i | |||||
3510.34 | − | 10294.7i | 0.192420 | − | 0.564306i | |||||
−373.091 | − | 12002.6i | −0.0204068 | − | 0.656504i | |||||
−8375.15 | −0.457104 | |||||||||
−1325.67 | + | 18616.9i | −0.0721976 | + | 1.01390i | |||||
−8169.41 | −0.443958 | |||||||||
614.998 | + | 19785.0i | 0.0333496 | + | 1.07288i | |||||
−2938.08 | − | 487.150i | −0.158982 | − | 0.0263601i | |||||
−56.3330 | − | 905.263i | −0.00304170 | − | 0.0488796i | |||||
− | 23398.3i | − | 1.26069i | −0.776316 | − | 0.630344i | ||||
0.776316 | − | 0.630344i | ||||||||
21292.0 | + | 10598.4i | 1.14475 | + | 0.569815i | |||||
− | 5845.85i | − | 0.313628i | |||||||
28954.4 | − | 5461.83i | 1.55009 | − | 0.292401i | |||||
−29215.4 | − | 4844.07i | −1.56073 | − | 0.258777i | |||||
−18959.3 | + | 589.333i | −1.01068 | + | 0.0314162i | |||||
−570.812 | −0.0303644 | |||||||||
−628.533 | + | 6130.89i | −0.0333640 | + | 0.325442i | |||||
4729.80 | 0.250538 | 0.125269 | − | 0.992123i | ||||||
0.125269 | + | 0.992123i | ||||||||
−20660.4 | + | 642.211i | −1.09207 | + | 0.0339461i | |||||
−3909.12 | + | 11464.2i | −0.206193 | + | 0.604700i | |||||
9308.40 | − | 870.273i | 0.489954 | − | 0.0458074i | |||||
16246.4i | 0.853340i | |||||||||
−5298.54 | − | 710.165i | −0.277721 | − | 0.0372230i | |||||
− | 40986.6i | − | 2.14380i | |||||||
−29006.8 | + | 1805.04i | −1.51402 | + | 0.0942147i | |||||
−4728.97 | + | 28521.2i | −0.246313 | + | 1.48556i | |||||
−248.144 | − | 7983.00i | −0.0128979 | − | 0.414934i | |||||
17392.3 | 0.902120 | 0.451060 | − | 0.892494i | ||||||
0.451060 | + | 0.892494i | ||||||||
−4166.29 | + | 20106.0i | −0.215651 | + | 1.04071i | |||||
−7111.59 | −0.367336 | |||||||||
−565.652 | − | 18197.5i | −0.0291571 | − | 0.938006i | |||||
−3987.87 | + | 24051.5i | −0.205132 | + | 1.23719i | |||||
16658.2 | − | 1036.61i | 0.855108 | − | 0.0532119i | |||||
2571.08i | 0.131707i | |||||||||
28854.9 | + | 3867.43i | 1.47508 | + | 0.197705i | |||||
2259.30i | 0.115258i | 0.998338 | + | 0.0576292i | ||||||
−0.998338 | + | 0.0576292i | ||||||||
−9452.26 | + | 883.723i | −0.481215 | + | 0.0449903i | |||||
−10867.9 | − | 16410.7i | −0.552145 | − | 0.833748i | |||||
−10995.9 | + | 341.797i | −0.557501 | + | 0.0173294i | |||||
−4346.99 | −0.219944 | |||||||||
−2020.97 | + | 19713.1i | −0.102045 | + | 0.995380i | |||||
9477.23 | 0.477557 | 0.238779 | − | 0.971074i | ||||||
0.238779 | + | 0.971074i | ||||||||
−13884.8 | + | 431.595i | −0.698223 | + | 0.0217036i | |||||
−2984.70 | − | 494.879i | −0.149786 | − | 0.0248352i | |||||
−1504.79 | − | 9607.09i | −0.0753630 | − | 0.481144i | |||||
44866.3i | 2.24243i | |||||||||
11478.5 | + | 3519.90i | 0.572535 | + | 0.175568i | |||||
11228.4i | 0.558922i | 0.960157 | + | 0.279461i | ||||||
−0.960157 | + | 0.279461i | ||||||||
1679.91 | + | 26995.9i | 0.0834522 | + | 1.34106i | |||||
−6312.47 | − | 1046.64i | −0.312948 | − | 0.0518884i | |||||
−163.592 | − | 5262.89i | −0.00809388 | − | 0.260386i | |||||
32368.4 | 1.59822 | 0.799112 | − | 0.601182i | ||||||
0.799112 | + | 0.601182i | ||||||||
2525.66 | − | 35468.7i | 0.124456 | − | 1.74778i | |||||
−24067.6 | −1.18358 | |||||||||
161.487 | + | 5195.16i | 0.00792554 | + | 0.254971i | |||||
17381.6 | + | 5926.85i | 0.851351 | + | 0.290298i | |||||
−1485.85 | − | 23877.3i | −0.0726309 | − | 1.16717i | |||||
14991.8i | 0.731361i | |||||||||
2524.17 | − | 18832.8i | 0.122893 | − | 0.916902i | |||||
− | 6776.22i | − | 0.329251i | −0.986356 | − | 0.164626i | ||||
0.986356 | − | 0.164626i | ||||||||
−30459.5 | + | 3805.63i | −1.47705 | + | 0.184544i | |||||
−3829.69 | + | 23097.5i | −0.185341 | + | 1.11782i | |||||
26897.8 | − | 836.094i | 1.29915 | − | 0.0403830i | |||||
−15842.1 | −0.763646 | |||||||||
7138.80 | + | 3280.77i | 0.343433 | + | 0.157831i | |||||
16374.4 | 0.786180 | 0.393090 | − | 0.919500i | ||||||
0.393090 | + | 0.919500i | ||||||||
−6573.05 | + | 204.317i | −0.314966 | + | 0.00979042i | |||||
2627.59 | − | 15847.5i | 0.125660 | − | 0.757875i | |||||
−514.223 | − | 5500.11i | −0.0245432 | − | 0.262513i | |||||
− | 6365.36i | − | 0.303212i | −0.988441 | − | 0.151606i | ||||
0.988441 | − | 0.151606i | ||||||||
−2223.47 | + | 16589.3i | −0.105706 | + | 0.788671i | |||||
− | 474.133i | − | 0.0224964i | |||||||
−9346.06 | + | 581.589i | −0.442576 | + | 0.0275408i | |||||
15779.3 | + | 5380.51i | 0.745756 | + | 0.254291i | |||||
−831.940 | − | 26764.2i | −0.0392418 | − | 1.26244i | |||||
8886.17 | 0.418333 | |||||||||
1791.70 | + | 21207.9i | 0.0841827 | + | 0.996450i | |||||
−540.012 | −0.0253229 | −0.0126615 | − | 0.999920i | ||||||
−0.0126615 | + | 0.999920i | ||||||||
−420.650 | − | 13532.7i | −0.0196873 | − | 0.633355i | |||||
−8333.45 | − | 1381.73i | −0.389263 | − | 0.0645418i | |||||
−19056.1 | + | 1185.83i | −0.888398 | + | 0.0552835i | |||||
20167.6i | 0.938394i | 0.883094 | + | 0.469197i | ||||||
−0.883094 | + | 0.469197i | ||||||||
6107.80 | + | 1872.96i | 0.283644 | + | 0.0869794i | |||||
− | 4898.38i | − | 0.227039i | |||||||
1164.63 | + | 12456.9i | 0.0538762 | + | 0.576258i | |||||
10210.0 | + | 1692.87i | 0.471404 | + | 0.0781613i | |||||
10158.5 | − | 315.767i | 0.468122 | − | 0.0145512i | |||||
−3230.03 | −0.148560 | |||||||||
29451.4 | + | 3019.33i | 1.35196 | + | 0.138602i | |||||
−35394.0 | −1.62163 | |||||||||
−7891.56 | + | 245.302i | −0.360871 | + | 0.0112174i | |||||
−19619.4 | − | 10538.7i | −0.895453 | − | 0.481001i | |||||
−3111.81 | + | 388.791i | −0.141755 | + | 0.0177109i | |||||
23493.9i | 1.06820i | |||||||||
−22406.7 | − | 3003.18i | −1.01682 | − | 0.136285i | |||||
− | 39007.0i | − | 1.76677i | −0.468646 | − | 0.883386i | ||||
0.468646 | − | 0.883386i | ||||||||
−2284.99 | − | 36719.5i | −0.103299 | − | 1.66000i | |||||
2002.92 | − | 12080.0i | 0.0903750 | − | 0.545067i | |||||
468.437 | + | 15070.0i | 0.0210965 | + | 0.678691i | |||||
8596.54 | 0.386419 | |||||||||
−8200.14 | + | 34189.3i | −0.367903 | + | 1.53392i | |||||
28572.4 | 1.27949 | |||||||||
−1104.65 | − | 35537.5i | −0.0493736 | − | 1.58839i | |||||
−2685.93 | + | 16199.3i | −0.119824 | + | 0.722679i | |||||
−500.729 | − | 8046.65i | −0.0222963 | − | 0.358299i | |||||
− | 9334.99i | − | 0.414884i | −0.978247 | − | 0.207442i | ||||
0.978247 | − | 0.207442i | ||||||||
−2094.94 | − | 280.786i | −0.0929326 | − | 0.0124558i | |||||
24923.2i | 1.10353i | |||||||||
453.702 | + | 2896.60i | 0.0200510 | + | 0.128013i | |||||
−3600.34 | + | 10558.7i | −0.158816 | + | 0.465758i | |||||
−35718.2 | + | 1110.27i | −1.57264 | + | 0.0488840i | |||||
−18837.3 | −0.827840 | |||||||||
−32239.2 | − | 3305.13i | −1.41416 | − | 0.144979i | |||||
−4468.28 | −0.195635 | |||||||||
−51245.3 | + | 1592.92i | −2.23950 | + | 0.0696130i | |||||
11983.9 | + | 1986.99i | 0.522743 | + | 0.0866735i | |||||
1837.13 | − | 171.760i | 0.0799877 | − | 0.00747831i | |||||
11699.2i | 0.508433i | 0.967147 | + | 0.254217i | ||||||
−0.967147 | + | 0.254217i | ||||||||
−19852.7 | − | 14358.7i | −0.861176 | − | 0.622855i | |||||
− | 27172.5i | − | 1.17652i | −0.808673 | − | 0.588258i | ||||
0.808673 | − | 0.588258i | ||||||||
8872.33 | − | 552.110i | 0.383445 | − | 0.0238612i | |||||
−7040.13 | − | 1167.29i | −0.303700 | − | 0.0503550i | |||||
1438.95 | + | 46292.1i | 0.0619596 | + | 1.99329i | |||||
19943.7 | 0.857176 | |||||||||
17266.8 | + | 691.282i | 0.740758 | + | 0.0296565i | |||||
−1718.72 | −0.0735990 | |||||||||
−1084.25 | − | 34881.3i | −0.0463448 | − | 1.49095i | |||||
3655.98 | − | 10721.9i | 0.155983 | − | 0.457450i | |||||
14916.1 | − | 928.206i | 0.635237 | − | 0.0395297i | |||||
− | 25582.6i | − | 1.08750i | −0.839247 | − | 0.543751i | ||||
0.839247 | − | 0.543751i | ||||||||
3681.69 | − | 27469.1i | 0.156221 | − | 1.16556i | |||||
14407.8i | 0.610237i | 0.952314 | + | 0.305119i | ||||||
−0.952314 | + | 0.305119i | ||||||||
22888.3 | − | 2139.90i | 0.967661 | − | 0.0904698i | |||||
−792.236 | + | 4778.11i | −0.0334329 | + | 0.201639i | |||||
2933.97 | − | 91.1998i | 0.123591 | − | 0.00384170i | |||||
15273.7 | 0.642225 | 0.321113 | − | 0.947041i | ||||||
0.321113 | + | 0.947041i | ||||||||
11193.8 | + | 3055.51i | 0.469822 | + | 0.128244i | |||||
13333.4 | 0.558610 | 0.279305 | − | 0.960202i | ||||||
0.279305 | + | 0.960202i | ||||||||
22848.5 | − | 710.226i | 0.955523 | − | 0.0297016i | |||||
−1609.06 | + | 9704.55i | −0.0671695 | + | 0.405111i | |||||
30155.7 | − | 5688.44i | 1.25657 | − | 0.237033i | |||||
2546.21i | 0.105907i | |||||||||
1376.08 | − | 10266.9i | 0.0571340 | − | 0.426277i | |||||
34856.4i | 1.44462i | |||||||||
−587.476 | − | 9440.65i | −0.0243042 | − | 0.390564i | |||||
37378.6 | + | 20078.3i | 1.54360 | + | 0.829159i | |||||
−929.075 | − | 29889.1i | −0.0382988 | − | 1.23210i | |||||
−18346.1 | −0.754919 | −0.377460 | − | 0.926026i | ||||||
−0.377460 | + | 0.926026i | ||||||||
9755.04 | + | 694.637i | 0.400691 | + | 0.0285324i | |||||
−809.675 | −0.0331984 | |||||||||
−548.849 | − | 17656.9i | −0.0224639 | − | 0.722681i | |||||
20303.6 | + | 3366.43i | 0.829527 | + | 0.137540i | |||||
2475.82 | + | 39786.1i | 0.100973 | + | 1.62262i | |||||
− | 16581.1i | − | 0.675037i | |||||||
10738.5 | − | 35018.7i | 0.436403 | − | 1.42313i | |||||
− | 13866.2i | − | 0.562512i | |||||||
2110.14 | + | 16889.1i | 0.0854509 | + | 0.683933i | |||||
17836.4 | + | 2957.37i | 0.721017 | + | 0.119548i | |||||
2379.35 | − | 73.9600i | 0.0960131 | − | 0.00298448i | |||||
15285.0 | 0.615701 | |||||||||
2607.34 | − | 25432.7i | 0.104843 | − | 1.02267i | |||||
35153.2 | 1.41105 | 0.705524 | − | 0.708686i | ||||||
0.705524 | + | 0.708686i | ||||||||
9433.82 | − | 293.242i | 0.378008 | − | 0.0117500i | |||||
6238.86 | + | 2127.35i | 0.249549 | + | 0.0850923i | |||||
−4511.09 | − | 48250.5i | −0.180124 | − | 1.92660i | |||||
− | 15229.6i | − | 0.607041i | −0.952825 | − | 0.303521i | ||||
0.952825 | − | 0.303521i | ||||||||
50244.8 | + | 6734.32i | 1.99922 | + | 0.267956i | |||||
33945.5i | 1.34832i | 0.738585 | + | 0.674160i | ||||||
−0.738585 | + | 0.674160i | ||||||||
7936.97 | − | 493.904i | 0.314707 | − | 0.0195837i | |||||
935.368 | − | 5641.37i | 0.0370235 | − | 0.223295i | |||||
818.842 | + | 26342.8i | 0.0323549 | + | 1.04088i | |||||
−43822.0 | −1.72853 | −0.864264 | − | 0.503039i | ||||||
−0.864264 | + | 0.503039i | ||||||||
−23963.1 | − | 8410.91i | −0.943565 | − | 0.331186i | |||||
24183.7 | 0.950602 | |||||||||
1203.83 | + | 38728.2i | 0.0472377 | + | 1.51967i | |||||
−1880.76 | + | 11343.2i | −0.0736725 | + | 0.444332i | |||||
−16903.4 | + | 1051.87i | −0.660991 | + | 0.0411324i | |||||
25816.8i | 1.00780i | |||||||||
−27476.5 | − | 3682.69i | −1.07074 | − | 0.143511i | |||||
46727.8i | 1.81781i | |||||||||
142.668 | + | 1525.97i | 0.00554055 | + | 0.0592614i | |||||
−14130.0 | − | 4818.12i | −0.547800 | − | 0.186791i | |||||
−3120.17 | + | 96.9878i | −0.120757 | + | 0.00375362i | |||||
−9050.08 | −0.349655 | |||||||||
1387.68 | − | 13535.8i | 0.0535220 | − | 0.522069i | |||||
−37852.1 | −1.45744 | −0.728719 | − | 0.684813i | ||||||
−0.728719 | + | 0.684813i | ||||||||
20353.0 | − | 632.655i | 0.782324 | − | 0.0243178i | |||||
−9118.33 | − | 1511.87i | −0.349890 | − | 0.0580136i | |||||
5425.87 | + | 43427.6i | 0.207848 | + | 1.66357i | |||||
3600.18i | 0.137677i | 0.997628 | + | 0.0688384i | ||||||
−0.997628 | + | 0.0688384i | ||||||||
1097.07 | − | 3577.58i | 0.0418822 | − | 0.136580i | |||||
− | 43272.5i | − | 1.64919i | −0.565722 | − | 0.824596i | ||||
0.565722 | − | 0.824596i | ||||||||
−1547.49 | − | 24868.0i | −0.0588777 | − | 0.946155i | |||||
−9030.82 | − | 1497.36i | −0.343014 | − | 0.0568735i | |||||
1379.43 | + | 44377.3i | 0.0523057 | + | 1.68271i | |||||
−24028.0 | −0.909562 | −0.454781 | − | 0.890603i | ||||||
−0.454781 | + | 0.890603i | ||||||||
−33369.7 | − | 2376.19i | −1.26105 | − | 0.0897972i | |||||
7971.97 | 0.300755 | |||||||||
431.435 | + | 13879.6i | 0.0162492 | + | 0.522748i | |||||
−33213.5 | − | 25630.7i | −1.24882 | − | 0.963704i | |||||
169.926 | + | 2730.69i | 0.00637843 | + | 0.102500i | |||||
9854.18i | 0.369269i | |||||||||
3954.44 | − | 29504.1i | 0.147938 | − | 1.10376i | |||||
− | 43167.9i | − | 1.61223i | |||||||
9898.21 | − | 2187.66i | 0.369058 | − | 0.0815675i | |||||
2736.61 | − | 16505.0i | 0.101865 | − | 0.614365i | |||||
46538.3 | − | 1446.60i | 1.72940 | − | 0.0537569i | |||||
48008.2 | 1.78105 | |||||||||
−3375.01 | − | 921.256i | −0.125000 | − | 0.0341206i | |||||
13819.4 | 0.510977 | |||||||||
25578.0 | − | 795.068i | 0.944183 | − | 0.0293491i | |||||
497.715 | − | 3001.80i | 0.0183421 | − | 0.110624i | |||||
−27667.5 | + | 2586.73i | −1.01793 | + | 0.0951696i | |||||
24790.8i | 0.910579i | |||||||||
2602.94 | − | 19420.5i | 0.0954490 | − | 0.712145i | |||||
3259.12i | 0.119313i | 0.998219 | + | 0.0596567i | ||||||
−0.998219 | + | 0.0596567i | ||||||||
9415.21 | − | 585.893i | 0.344113 | − | 0.0214136i | |||||
−710.573 | + | 2083.89i | −0.0259276 | + | 0.0760376i | |||||
−438.103 | − | 14094.1i | −0.0159593 | − | 0.513424i | |||||
4957.30 | 0.180288 | 0.0901441 | − | 0.995929i | ||||||
0.0901441 | + | 0.995929i | ||||||||
6826.97 | + | 273.320i | 0.247877 | + | 0.00992382i | |||||
39142.5 | 1.41887 | |||||||||
−428.924 | − | 13798.8i | −0.0155225 | − | 0.499371i | |||||
−29037.5 | − | 4814.57i | −1.04913 | − | 0.173950i | |||||
11373.4 | − | 707.749i | 0.410250 | − | 0.0255291i | |||||
10767.5i | 0.387759i | |||||||||
−9188.49 | + | 18459.5i | −0.330355 | + | 0.663677i | |||||
14412.7i | 0.517334i | 0.965967 | + | 0.258667i | ||||||
−0.965967 | + | 0.258667i | ||||||||
14380.9 | − | 1344.52i | 0.515354 | − | 0.0481821i | |||||
130.205 | + | 21.5887i | 0.00465843 | + | 0.000772391i | |||||
28916.3 | − | 898.837i | 1.03287 | − | 0.0321059i | |||||
−36862.5 | −1.31456 | |||||||||
16658.5 | + | 1707.82i | 0.593102 | + | 0.0608042i | |||||
−4608.51 | −0.163813 | |||||||||
28972.8 | − | 900.595i | 1.02819 | − | 0.0319604i | |||||
−8852.84 | + | 25962.6i | −0.313663 | + | 0.919874i | |||||
−28389.0 | + | 4446.66i | −1.00422 | + | 0.157294i | |||||
3928.90i | 0.138755i | 0.997590 | + | 0.0693774i | ||||||
−0.997590 | + | 0.0693774i | ||||||||
52347.9 | + | 7016.21i | 1.84576 | + | 0.247388i | |||||
1006.72i | 0.0354393i | |||||||||
−284.781 | − | 4576.38i | −0.0100089 | − | 0.160842i | |||||
−2582.42 | + | 15575.0i | −0.0906158 | + | 0.546520i | |||||
−423.028 | − | 13609.1i | −0.0148200 | − | 0.476771i | |||||
35534.2 | 1.24288 | |||||||||
−8540.37 | + | 35607.9i | −0.298238 | + | 1.24346i | |||||
−22929.1 | −0.799426 | −0.399713 | − | 0.916640i | ||||||
−0.399713 | + | 0.916640i | ||||||||
479.572 | + | 15428.2i | 0.0166936 | + | 0.537046i | |||||
7605.24 | − | 45868.5i | 0.264311 | − | 1.59410i | |||||
−2831.77 | − | 45506.1i | −0.0982576 | − | 1.57899i | |||||
5458.91i | 0.189113i | 0.995519 | + | 0.0945565i | ||||||
−0.995519 | + | 0.0945565i | ||||||||
−28800.8 | − | 3860.18i | −0.996157 | − | 0.133515i | |||||
− | 8445.46i | − | 0.291646i | |||||||
−9415.39 | + | 1176.36i | −0.324624 | + | 0.0405587i | |||||
−5522.17 | + | 10280.3i | −0.190091 | + | 0.353883i | |||||
13610.2 | − | 423.061i | 0.467765 | − | 0.0145400i | |||||
9864.40 | 0.338490 | 0.169245 | − | 0.985574i | ||||||
0.169245 | + | 0.985574i | ||||||||
−18551.0 | − | 1901.83i | −0.635556 | − | 0.0651566i | |||||
−19618.9 | −0.671082 | |||||||||
940.752 | − | 29.2424i | 0.0321284 | − | 0.000998684i | |||||
−54.1801 | − | 8.98334i | −0.00184743 | − | 0.000306314i | |||||
−766.163 | − | 8194.84i | −0.0260835 | − | 0.278988i | |||||
− | 39622.9i | − | 1.34681i | −0.739273 | − | 0.673406i | ||||
0.739273 | − | 0.673406i | ||||||||
−19417.1 | − | 5954.25i | −0.658964 | − | 0.202071i | |||||
− | 13908.8i | − | 0.471286i | |||||||
−44424.9 | + | 2764.49i | −1.50293 | + | 0.0935250i | |||||
−46829.5 | − | 7764.57i | −1.58180 | − | 0.262270i | |||||
999.092 | + | 32141.6i | 0.0336943 | + | 1.08397i | |||||
−13200.2 | −0.444481 | |||||||||
−31605.1 | + | 699.670i | −1.06255 | + | 0.0235226i | |||||
−61673.6 | −2.07021 | |||||||||
1498.65 | + | 48212.8i | 0.0502271 | + | 1.61585i | |||||
54731.2 | + | 18662.5i | 1.83145 | + | 0.624497i | |||||
−37462.9 | + | 2331.25i | −1.25166 | + | 0.0778885i | |||||
− | 28359.3i | − | 0.946028i | |||||||
734.161 | − | 5477.58i | 0.0244526 | − | 0.182441i | |||||
58502.3i | 1.94551i | 0.231838 | + | 0.972754i | ||||||
−0.231838 | + | 0.972754i | ||||||||
4172.38 | + | 44627.6i | 0.138539 | + | 1.48180i | |||||
907.407 | − | 5472.73i | 0.0300827 | − | 0.181434i | |||||
−18574.3 | + | 577.364i | −0.614828 | + | 0.0191114i | |||||
23211.9 | 0.767154 | 0.383577 | − | 0.923509i | ||||||
0.383577 | + | 0.923509i | ||||||||
20863.9 | − | 21977.9i | 0.688489 | − | 0.725247i | |||||
−4933.76 | −0.162558 | |||||||||
−11761.8 | + | 365.604i | −0.386931 | + | 0.0120274i | |||||
−825.106 | + | 4976.36i | −0.0271021 | + | 0.163457i | |||||
−30274.1 | + | 3782.46i | −0.992878 | + | 0.124051i | |||||
− | 29085.1i | − | 0.952421i | −0.879331 | − | 0.476210i | ||||
0.879331 | − | 0.476210i | ||||||||
−3276.86 | + | 24448.7i | −0.107140 | + | 0.799368i | |||||
23777.6i | 0.776235i | |||||||||
−289.299 | − | 4648.99i | −0.00942992 | − | 0.151537i | |||||
−1730.94 | − | 590.222i | −0.0563349 | − | 0.0192093i | |||||
1372.67 | + | 44160.0i | 0.0446067 | + | 1.43503i | |||||
−13441.3 | −0.436125 | −0.218063 | − | 0.975935i | ||||||
−0.218063 | + | 0.975935i | ||||||||
−1312.93 | + | 18437.9i | −0.0425352 | + | 0.597337i | |||||
54646.0 | 1.76768 | |||||||||
724.870 | + | 23319.6i | 0.0234123 | + | 0.753193i | |||||
−17210.7 | − | 2853.62i | −0.555037 | − | 0.0920280i | |||||
−611.850 | − | 9832.34i | −0.0197020 | − | 0.316608i | |||||
− | 4493.88i | − | 0.144486i | |||||||
−49927.9 | − | 15310.4i | −1.60284 | − | 0.491511i | |||||
− | 18843.6i | − | 0.604022i | −0.953304 | − | 0.302011i | ||||
0.953304 | − | 0.302011i | ||||||||
54086.4 | − | 8471.71i | 1.73109 | − | 0.271146i | |||||
36671.1 | + | 6080.25i | 1.17192 | + | 0.194311i | |||||
−12171.0 | + | 378.324i | −0.388370 | + | 0.0120721i | |||||
11975.0 | 0.381542 | |||||||||
−2883.48 | + | 28126.3i | −0.0917335 | + | 0.894794i | |||||
3446.16 | 0.109469 | 0.0547346 | − | 0.998501i | ||||||
0.0547346 | + | 0.998501i | ||||||||
13350.3 | − | 414.982i | 0.423443 | − | 0.0131624i | |||||
18890.1 | − | 35166.7i | 0.598254 | − | 1.11374i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 84.4.e.a.71.17 | ✓ | 36 | |
3.2 | odd | 2 | inner | 84.4.e.a.71.20 | yes | 36 | |
4.3 | odd | 2 | inner | 84.4.e.a.71.19 | yes | 36 | |
12.11 | even | 2 | inner | 84.4.e.a.71.18 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.4.e.a.71.17 | ✓ | 36 | 1.1 | even | 1 | trivial | |
84.4.e.a.71.18 | yes | 36 | 12.11 | even | 2 | inner | |
84.4.e.a.71.19 | yes | 36 | 4.3 | odd | 2 | inner | |
84.4.e.a.71.20 | yes | 36 | 3.2 | odd | 2 | inner |