Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [56,4,Mod(37,56)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(56, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("56.37");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 56.p (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 53.20 | ||
Character | 56.53 | ||
Dual form | 56.4.p.a.37.20 |
-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 .
2.53540 | + | 1.25369i | 0.896400 | + | 0.443245i | |||||
−7.07996 | − | 4.08762i | −1.36254 | − | 0.786662i | −0.372578 | − | 0.928001i | ||
−0.989961 | + | 0.141338i | ||||||||
4.85654 | + | 6.35720i | 0.607068 | + | 0.794650i | |||||
17.0228 | − | 9.82813i | 1.52257 | − | 0.879055i | 0.522923 | − | 0.852380i | ||
0.999644 | − | 0.0266746i | ||||||||
−12.8260 | − | 19.2398i | −0.872697 | − | 1.30910i | |||||
15.6931 | − | 9.83491i | 0.847350 | − | 0.531035i | |||||
4.34335 | + | 22.2066i | 0.191951 | + | 0.981405i | |||||
19.9172 | + | 34.4977i | 0.737676 | + | 1.27769i | |||||
55.4811 | − | 3.57700i | 1.75447 | − | 0.113115i | |||||
−29.7141 | − | 17.1555i | −0.814468 | − | 0.470233i | 0.0340372 | − | 0.999421i | ||
−0.848505 | + | 0.529187i | ||||||||
−8.39831 | − | 64.8604i | −0.202032 | − | 1.56030i | |||||
− | 3.09910i | − | 0.0661182i | −0.999453 | − | 0.0330591i | ||||
0.999453 | − | 0.0330591i | ||||||||
52.1183 | − | 5.26121i | 0.994943 | − | 0.100437i | |||||
−160.695 | −2.76608 | |||||||||
−16.8280 | + | 61.7480i | −0.262938 | + | 0.964813i | |||||
−14.8109 | + | 25.6532i | −0.211304 | + | 0.365989i | −0.952123 | − | 0.305716i | ||
0.740819 | + | 0.671705i | ||||||||
7.24898 | + | 112.435i | 0.0949222 | + | 1.47229i | |||||
−40.0355 | + | 23.1145i | −0.483409 | + | 0.279096i | −0.721836 | − | 0.692064i | ||
0.238427 | + | 0.971160i | ||||||||
145.151 | + | 60.4868i | 1.62284 | + | 0.676263i | |||||
−151.308 | + | 5.48329i | −1.57229 | + | 0.0569786i | |||||
−53.8297 | − | 80.7482i | −0.521661 | − | 0.782526i | |||||
49.7004 | + | 86.0836i | 0.450576 | + | 0.780420i | 0.998422 | − | 0.0561589i | ||
−0.547846 | + | 0.836579i | ||||||||
60.0215 | − | 174.976i | 0.510493 | − | 1.48820i | |||||
130.684 | − | 226.352i | 1.04547 | − | 1.81081i | |||||
3.88530 | − | 7.85747i | 0.0293065 | − | 0.0592683i | |||||
− | 104.925i | − | 0.747882i | |||||||
138.737 | + | 52.0007i | 0.936386 | + | 0.350972i | |||||
136.943i | 0.876883i | 0.898760 | + | 0.438442i | ||||||
−0.898760 | + | 0.438442i | ||||||||
−407.425 | − | 201.461i | −2.47951 | − | 1.22605i | |||||
−0.290223 | + | 0.502681i | −0.00168147 | + | 0.00291239i | −0.866865 | − | 0.498543i | ||
0.865183 | + | 0.501455i | ||||||||
−120.078 | + | 135.459i | −0.663346 | + | 0.748313i | |||||
140.250 | + | 242.920i | 0.739830 | + | 1.28142i | |||||
−69.7127 | + | 46.4730i | −0.351636 | + | 0.234414i | |||||
170.483 | − | 321.652i | 0.823337 | − | 1.55340i | |||||
−122.580 | + | 294.157i | −0.567499 | + | 1.36184i | |||||
−128.221 | + | 74.0282i | −0.569712 | + | 0.328923i | −0.757034 | − | 0.653375i | ||
0.187322 | + | 0.982299i | ||||||||
−130.484 | + | 8.41263i | −0.557036 | + | 0.0359134i | |||||
−12.6679 | + | 21.9415i | −0.0520127 | + | 0.0900886i | |||||
292.186 | + | 335.333i | 1.15497 | + | 1.32552i | |||||
−141.194 | −0.537825 | −0.268913 | − | 0.963165i | ||||||
−0.268913 | + | 0.963165i | ||||||||
−390.502 | − | 175.791i | −1.43466 | − | 0.645835i | |||||
259.780i | 0.921306i | 0.887580 | + | 0.460653i | ||||||
−0.887580 | + | 0.460653i | ||||||||
−35.2472 | − | 272.215i | −0.120766 | − | 0.932680i | |||||
678.095 | + | 391.498i | 2.24632 | + | 1.29691i | |||||
18.0887 | + | 280.565i | 0.0579790 | + | 0.899285i | |||||
−174.311 | − | 301.916i | −0.540977 | − | 0.936999i | −0.998848 | − | 0.0479808i | ||
0.457872 | − | 0.889018i | ||||||||
371.544 | − | 368.387i | 1.11725 | − | 1.10775i | |||||
149.549 | − | 308.681i | 0.436003 | − | 0.899945i | |||||
615.111 | − | 410.056i | 1.73980 | − | 1.15981i | |||||
209.721 | − | 121.083i | 0.575820 | − | 0.332450i | |||||
19.7016 | − | 15.0509i | 0.0525408 | − | 0.0401382i | |||||
−184.884 | − | 106.743i | −0.479165 | − | 0.276646i | 0.240904 | − | 0.970549i | ||
−0.720068 | + | 0.693903i | ||||||||
131.543 | − | 266.027i | 0.331495 | − | 0.670402i | |||||
−674.424 | −1.65344 | |||||||||
286.561 | + | 305.775i | 0.683810 | + | 0.729660i | |||||
377.933 | 0.878218 | |||||||||
−171.683 | + | 347.205i | −0.388674 | + | 0.786039i | |||||
−100.398 | − | 57.9647i | −0.221537 | − | 0.127904i | 0.385125 | − | 0.922864i | ||
−0.606662 | + | 0.794960i | ||||||||
−780.420 | − | 1021.57i | −1.67920 | − | 2.19806i | |||||
345.954 | − | 199.737i | 0.726146 | − | 0.419240i | −0.0908649 | − | 0.995863i | ||
0.817010 | + | 0.576623i | ||||||||
−1.36604 | + | 0.910650i | −0.00279817 | + | 0.00186537i | |||||
651.846 | + | 345.492i | 1.30357 | + | 0.690920i | |||||
−474.271 | + | 192.903i | −0.926310 | + | 0.376763i | |||||
−30.4584 | − | 52.7554i | −0.0581215 | − | 0.100669i | |||||
51.0446 | + | 791.730i | 0.0951994 | + | 1.47659i | |||||
893.014 | + | 515.582i | 1.62834 | + | 0.940125i | 0.984587 | + | 0.174895i | ||
0.643757 | + | 0.765230i | ||||||||
−235.012 | + | 30.4301i | −0.419109 | + | 0.0542675i | |||||
− | 812.625i | − | 1.41780i | |||||||
835.493 | − | 601.786i | 1.42658 | − | 1.02753i | |||||
476.543 | 0.796553 | 0.398276 | − | 0.917265i | ||||||
0.398276 | + | 0.917265i | ||||||||
−679.570 | + | 592.131i | −1.11233 | + | 0.969212i | |||||
−554.624 | + | 960.638i | −0.889231 | + | 1.54019i | −0.0484453 | + | 0.998826i | ||
−0.840786 | + | 0.541368i | ||||||||
−417.899 | + | 26.9429i | −0.656484 | + | 0.0423250i | |||||
−1850.48 | + | 1068.37i | −2.84900 | + | 1.64487i | |||||
−341.377 | − | 142.257i | −0.515246 | − | 0.214711i | |||||
−635.030 | + | 23.0130i | −0.939850 | + | 0.0340594i | |||||
−59.6261 | + | 39.7490i | −0.0865555 | + | 0.0577011i | |||||
−225.997 | − | 391.439i | −0.321857 | − | 0.557472i | 0.659014 | − | 0.752130i | ||
−0.980871 | + | 0.194658i | ||||||||
320.407 | + | 1216.51i | 0.447783 | + | 1.70013i | |||||
108.872 | − | 188.573i | 0.149345 | − | 0.258673i | |||||
−357.984 | − | 177.013i | −0.482107 | − | 0.238388i | |||||
− | 770.316i | − | 1.01871i | −0.860556 | − | 0.509356i | ||||
0.860556 | − | 0.509356i | ||||||||
−769.693 | − | 935.267i | −0.999766 | − | 1.21483i | |||||
582.253i | 0.742991i | |||||||||
−325.683 | + | 658.648i | −0.408364 | + | 0.825859i | |||||
559.769 | − | 969.549i | 0.689811 | − | 1.19479i | |||||
251.906 | − | 734.363i | 0.305151 | − | 0.889584i | |||||
−615.389 | − | 1065.88i | −0.732934 | − | 1.26948i | −0.955624 | − | 0.294589i | ||
0.222690 | − | 0.974889i | ||||||||
1228.43 | + | 1842.73i | 1.43875 | + | 2.15823i | |||||
−30.4794 | − | 48.6346i | −0.0351111 | − | 0.0560252i | |||||
−305.879 | + | 734.024i | −0.346631 | + | 0.831818i | |||||
4.10953 | − | 2.37264i | 0.00458214 | − | 0.00264550i | |||||
−63.4414 | − | 984.010i | −0.0696115 | − | 1.07971i | |||||
−454.344 | + | 786.948i | −0.490682 | + | 0.849885i | |||||
1403.86 | − | 468.210i | 1.49250 | − | 0.497776i | |||||
706.293 | 0.739311 | 0.369656 | − | 0.929169i | ||||||
0.369656 | + | 0.929169i | ||||||||
766.156 | − | 595.144i | 0.789729 | − | 0.613455i | |||||
− | 1366.76i | − | 1.38752i | |||||||
2073.64 | − | 268.500i | 2.07364 | − | 0.268500i | |||||
−760.005 | − | 438.789i | −0.748745 | − | 0.432288i | 0.0764951 | − | 0.997070i | ||
−0.825240 | + | 0.564782i | ||||||||
683.527 | − | 44.0686i | 0.663522 | − | 0.0427788i | |||||
808.543 | + | 1400.44i | 0.773477 | + | 1.33970i | 0.935646 | + | 0.352939i | ||
−0.162169 | + | 0.986763i | ||||||||
68.8207 | − | 13.4605i | 0.0648887 | − | 0.0126914i | |||||
−2521.80 | + | 1580.42i | −2.34383 | + | 1.46888i | |||||
−334.933 | − | 502.422i | −0.306901 | − | 0.460373i | |||||
−544.209 | + | 314.199i | −0.491688 | + | 0.283876i | −0.725275 | − | 0.688460i | ||
0.233586 | + | 0.972336i | ||||||||
667.029 | − | 509.572i | 0.594305 | − | 0.454015i | |||||
−398.630 | − | 230.149i | −0.350292 | − | 0.202241i | 0.314522 | − | 0.949250i | ||
−0.664814 | + | 0.747009i | ||||||||
−1709.94 | − | 845.516i | −1.48215 | − | 0.732880i | |||||
1210.40 | 1.03501 | |||||||||
343.202 | + | 1134.52i | 0.289550 | + | 0.957163i | |||||
−1015.23 | −0.845171 | −0.422586 | − | 0.906323i | ||||||
−0.422586 | + | 0.906323i | ||||||||
958.212 | + | 473.809i | 0.787235 | + | 0.389266i | |||||
1692.08 | + | 976.923i | 1.37206 | + | 0.792161i | |||||
−870.572 | + | 665.068i | −0.696816 | + | 0.532328i | |||||
106.912 | − | 61.7256i | 0.0844786 | − | 0.0487738i | |||||
−181.879 | − | 272.831i | −0.141893 | − | 0.212849i | |||||
19.8679 | + | 548.243i | 0.0153049 | + | 0.422331i | |||||
−697.953 | − | 3568.49i | −0.530951 | − | 2.71464i | |||||
−76.8805 | − | 133.161i | −0.0577614 | − | 0.100046i | |||||
1127.54 | − | 72.6951i | 0.836743 | − | 0.0539468i | |||||
999.650 | + | 577.148i | 0.732808 | + | 0.423087i | |||||
−4.60512 | + | 0.596284i | −0.00333510 | + | 0.000431838i | |||||
− | 2680.49i | − | 1.91800i | |||||||
1219.55 | + | 1693.17i | 0.862273 | + | 1.19714i | |||||
112.340 | 0.0784925 | 0.0392463 | − | 0.999230i | ||||||
0.0392463 | + | 0.999230i | ||||||||
−1444.31 | − | 105.501i | −0.997343 | − | 0.0728517i | |||||
1061.88 | − | 1839.24i | 0.724757 | − | 1.25532i | |||||
−11.0855 | − | 171.942i | −0.00747892 | − | 0.116002i | |||||
475.899 | − | 274.760i | 0.317400 | − | 0.183251i | −0.332833 | − | 0.942986i | ||
0.650233 | + | 0.759735i | ||||||||
−863.162 | + | 2071.35i | −0.569156 | + | 1.36582i | |||||
−400.953 | + | 756.484i | −0.261406 | + | 0.493199i | |||||
1617.77 | + | 2426.77i | 1.04294 | + | 1.56448i | |||||
−1031.22 | − | 1786.12i | −0.657429 | − | 1.13870i | |||||
−634.001 | − | 217.479i | −0.399744 | − | 0.137123i | |||||
927.547 | − | 1606.56i | 0.578436 | − | 1.00188i | −0.417223 | − | 0.908804i | ||
0.995659 | − | 0.0930760i | ||||||||
1018.78 | − | 2060.33i | 0.628435 | − | 1.27092i | |||||
− | 150.835i | − | 0.0920405i | −0.998941 | − | 0.0460203i | ||||
0.998941 | − | 0.0460203i | ||||||||
2872.76 | − | 478.325i | 1.73423 | − | 0.288756i | |||||
2850.07i | 1.70226i | |||||||||
1208.23 | + | 597.436i | 0.714030 | + | 0.353068i | |||||
−53.1665 | + | 92.0871i | −0.0310910 | + | 0.0538511i | |||||
−2465.33 | + | 649.323i | −1.42670 | + | 0.375765i | |||||
1345.89 | + | 2331.15i | 0.770828 | + | 1.33511i | |||||
−2610.53 | + | 1740.28i | −1.47979 | + | 0.986483i | |||||
−2320.57 | + | 1574.15i | −1.30202 | + | 0.883224i | |||||
−1093.32 | − | 455.603i | −0.607233 | − | 0.253043i | |||||
2697.57 | − | 1557.44i | 1.48318 | − | 0.856312i | 0.483359 | − | 0.875422i | ||
0.999817 | + | 0.0191102i | ||||||||
−6031.12 | + | 388.840i | −3.28292 | + | 0.211658i | |||||
448.845 | − | 777.422i | 0.241897 | − | 0.418978i | −0.719357 | − | 0.694640i | ||
0.961255 | + | 0.275662i | ||||||||
−687.184 | − | 788.659i | −0.366697 | − | 0.420847i | |||||
−1179.97 | −0.623495 | |||||||||
−1638.91 | − | 737.782i | −0.857578 | − | 0.386053i | |||||
11.4094i | 0.00591241i | |||||||||
−201.009 | + | 26.0272i | −0.103164 | + | 0.0133580i | |||||
−1805.49 | − | 1042.40i | −0.917794 | − | 0.529889i | −0.0348634 | − | 0.999392i | ||
−0.882931 | + | 0.469503i | ||||||||
−82.2529 | − | 1275.79i | −0.0414157 | − | 0.642380i | |||||
872.646 | + | 1511.47i | 0.435254 | + | 0.753881i | |||||
−712.765 | + | 3486.04i | −0.352181 | + | 1.72247i | |||||
1626.58 | + | 862.122i | 0.796226 | + | 0.422017i | |||||
512.447 | − | 341.616i | 0.248528 | − | 0.165678i | |||||
470.091 | − | 271.407i | 0.225892 | − | 0.130419i | −0.382784 | − | 0.923838i | ||
0.608675 | + | 0.793419i | ||||||||
−685.716 | − | 897.600i | −0.326496 | − | 0.427383i | |||||
4774.90 | + | 2756.79i | 2.25288 | + | 1.30070i | |||||
965.735 | − | 1953.06i | 0.451539 | − | 0.913175i | |||||
−2401.40 | −1.11273 | −0.556366 | − | 0.830938i | ||||||
−0.556366 | + | 0.830938i | ||||||||
−778.950 | − | 3336.23i | −0.357722 | − | 1.53212i | |||||
2187.40 | 0.995628 | |||||||||
−729.963 | + | 1476.25i | −0.329327 | + | 0.666017i | |||||
−1594.79 | − | 920.754i | −0.713198 | − | 0.411765i | |||||
−1651.48 | + | 1261.63i | −0.732116 | + | 0.559295i | |||||
67.3790 | − | 38.9013i | 0.0296111 | − | 0.0170960i | −0.485121 | − | 0.874447i | ||
0.514732 | + | 0.857351i | ||||||||
2634.75 | − | 1756.42i | 1.14793 | − | 0.765253i | |||||
−175.305 | − | 4837.44i | −0.0757245 | − | 2.08958i | |||||
1559.35 | − | 1546.10i | 0.667841 | − | 0.662167i | |||||
473.875 | + | 820.775i | 0.201235 | + | 0.348549i | |||||
−223.974 | − | 3473.95i | −0.0943121 | − | 1.46283i | |||||
−648.975 | − | 374.686i | −0.270987 | − | 0.156454i | 0.358349 | − | 0.933588i | ||
−0.629336 | + | 0.777133i | ||||||||
804.363 | + | 6212.12i | 0.333076 | + | 2.57235i | |||||
3814.83i | 1.56660i | 0.621647 | + | 0.783298i | ||||||
−0.621647 | + | 0.783298i | ||||||||
−16.3050 | − | 161.520i | −0.00664070 | − | 0.0657838i | |||||
−3265.79 | −1.31920 | |||||||||
−1695.76 | + | 1477.57i | −0.679420 | + | 0.592000i | |||||
−1455.12 | + | 2520.34i | −0.578283 | + | 1.00162i | |||||
13.3939 | − | 0.863534i | 0.00528003 | − | 0.000340416i | |||||
880.185 | − | 508.175i | 0.344201 | − | 0.198724i | |||||
1072.79 | − | 2574.40i | 0.416177 | − | 0.998709i | |||||
−1031.93 | − | 1646.60i | −0.397152 | − | 0.633717i | |||||
−2138.53 | + | 1425.62i | −0.816555 | + | 0.544346i | |||||
499.858 | + | 865.779i | 0.189364 | + | 0.327987i | 0.945038 | − | 0.326960i | ||
−0.755675 | + | 0.654947i | ||||||||
4146.33 | + | 572.893i | 1.55852 | + | 0.215339i | |||||
406.904 | − | 704.779i | 0.151760 | − | 0.262855i | −0.780115 | − | 0.625636i | ||
0.931874 | + | 0.362781i | ||||||||
1790.74 | + | 885.470i | 0.662719 | + | 0.327696i | |||||
498.009i | 0.182888i | |||||||||
2688.64 | − | 548.411i | 0.979825 | − | 0.199858i | |||||
12.8192i | 0.00463618i | 0.999997 | + | 0.00231809i | ||||||
−0.999997 | + | 0.00231809i | ||||||||
1713.49 | − | 3465.28i | 0.615011 | − | 1.24377i | |||||
75.7989 | − | 131.288i | 0.0270012 | − | 0.0467675i | −0.852209 | − | 0.523201i | ||
0.879210 | + | 0.476434i | ||||||||
5594.12 | + | 1918.93i | 1.97782 | + | 0.678445i | |||||
−4215.00 | − | 7300.60i | −1.47912 | − | 2.56191i | |||||
−1376.81 | − | 2065.31i | −0.479566 | − | 0.719381i | |||||
1346.82 | + | 2149.06i | 0.465656 | + | 0.743027i | |||||
1788.26 | + | 745.197i | 0.613743 | + | 0.255756i | |||||
−2403.52 | + | 1387.68i | −0.818875 | + | 0.472778i | |||||
294.273 | + | 4564.34i | 0.0995291 | + | 1.54375i | |||||
−1979.79 | + | 3429.09i | −0.664758 | + | 1.15139i | |||||
191.363 | + | 52.1517i | 0.0637916 | + | 0.0173850i | |||||
1586.16 | 0.524961 | |||||||||
−8375.13 | + | 845.447i | −2.75209 | + | 0.277816i | |||||
− | 4630.42i | − | 1.51077i | −0.655284 | − | 0.755383i | ||||
0.655284 | − | 0.755383i | ||||||||
−219.311 | − | 1693.74i | −0.0710487 | − | 0.548711i | |||||
−3373.91 | − | 1947.93i | −1.08533 | − | 0.626618i | |||||
−1773.70 | + | 114.354i | −0.566577 | + | 0.0365285i | |||||
2553.16 | + | 4422.19i | 0.809878 | + | 1.40275i | |||||
2330.03 | − | 455.726i | 0.733975 | − | 0.143557i | |||||
0.389316 | + | 10.7430i | 0.000121790 | + | 0.00336073i | |||||
−722.152 | − | 1083.28i | −0.224359 | − | 0.336554i | |||||
7853.44 | − | 4534.19i | 2.42322 | − | 1.39905i | |||||
−3275.37 | − | 4287.45i | −1.00375 | − | 1.31391i | |||||
79.5019 | + | 45.9004i | 0.0241985 | + | 0.0139710i | |||||
3068.84 | + | 1517.46i | 0.927781 | + | 0.458762i | |||||
−3007.58 | −0.903151 | −0.451575 | − | 0.892233i | ||||||
−0.451575 | + | 0.892233i | ||||||||
−552.179 | + | 3306.74i | −0.164705 | + | 0.986343i | |||||
10411.5 | 3.08488 | |||||||||
−2574.01 | − | 1272.77i | −0.757612 | − | 0.374618i | |||||
1846.41 | + | 1066.03i | 0.539870 | + | 0.311694i | 0.745026 | − | 0.667035i | ||
−0.205156 | + | 0.978729i | ||||||||
1835.45 | + | 2402.60i | 0.533138 | + | 0.697876i | |||||
−1627.50 | + | 939.637i | −0.469643 | + | 0.271148i | −0.716090 | − | 0.698008i | ||
0.246447 | + | 0.969156i | ||||||||
3065.35 | + | 4598.23i | 0.878797 | + | 1.31825i | |||||
4590.06 | + | 2432.83i | 1.30738 | + | 0.692937i | |||||
−3041.04 | + | 594.791i | −0.860577 | + | 0.168319i | |||||
1664.34 | + | 2882.72i | 0.467959 | + | 0.810528i | 0.999330 | − | 0.0366112i | ||
−0.531371 | + | 0.847139i | ||||||||
348.449 | − | 22.4653i | 0.0973454 | − | 0.00627608i | |||||
−5934.54 | − | 3426.31i | −1.64735 | − | 0.951096i | |||||
−119.093 | − | 919.757i | −0.0328486 | − | 0.253691i | |||||
3695.16i | 1.01277i | |||||||||
−636.952 | + | 1414.93i | −0.173477 | + | 0.385361i | |||||
−5724.47 | −1.54931 | −0.774655 | − | 0.632384i | ||||||
−0.774655 | + | 0.632384i | ||||||||
2704.17 | − | 9922.57i | 0.727306 | − | 2.66875i | |||||
−921.960 | + | 1596.88i | −0.246426 | + | 0.426822i | −0.962532 | − | 0.271170i | ||
0.716106 | + | 0.697992i | ||||||||
−27.9810 | − | 434.001i | −0.00743260 | − | 0.115284i | |||||
−3995.05 | + | 2306.54i | −1.05466 | + | 0.608909i | |||||
2949.91 | + | 1229.27i | 0.773969 | + | 0.322524i | |||||
−488.015 | − | 6724.41i | −0.127258 | − | 1.75350i | |||||
1810.95 | + | 2716.55i | 0.469358 | + | 0.704069i | |||||
71.6342 | + | 124.074i | 0.0184533 | + | 0.0319621i | |||||
−12.4234 | − | 4.26156i | −0.00318099 | − | 0.00109117i | |||||
−3148.76 | + | 5453.81i | −0.801383 | + | 1.38804i | |||||
3360.50 | − | 6796.13i | 0.850146 | − | 1.71930i | |||||
− | 6537.91i | − | 1.64410i | −0.569415 | − | 0.822050i | ||||
0.569415 | − | 0.822050i | ||||||||
969.351 | + | 5821.81i | 0.242315 | + | 1.45532i | |||||
− | 3410.53i | − | 0.847503i | |||||||
284.827 | + | 140.839i | 0.0703608 | + | 0.0347914i | |||||
2380.03 | − | 4122.33i | 0.584483 | − | 1.01235i | |||||
−3529.64 | − | 2078.19i | −0.861727 | − | 0.507372i | |||||
−3492.66 | − | 6049.46i | −0.847727 | − | 1.46831i | −0.883231 | − | 0.468937i | ||
0.0355040 | − | 0.999370i | ||||||||
4998.13 | − | 3331.94i | 1.20608 | − | 0.804020i | |||||
−1284.12 | + | 2422.77i | −0.308075 | + | 0.581251i | |||||
187.455 | − | 449.839i | 0.0447132 | − | 0.107299i | |||||
−4724.20 | + | 2727.52i | −1.12039 | + | 0.646856i | |||||
1551.06 | − | 100.000i | 0.365743 | − | 0.0235803i | |||||
3530.99 | − | 6115.85i | 0.827870 | − | 1.43391i | −0.0718353 | − | 0.997417i | ||
0.899706 | − | 0.436497i | ||||||||
−4785.28 | + | 4169.57i | −1.11558 | + | 0.972042i | |||||
−4196.32 | −0.972747 | |||||||||
−1964.97 | + | 1415.32i | −0.452933 | + | 0.326237i | |||||
10061.9i | 2.30629i | |||||||||
1059.30 | + | 8181.02i | 0.241445 | + | 1.86468i | |||||
4770.05 | + | 2753.99i | 1.08117 | + | 0.624214i | 0.931212 | − | 0.364478i | ||
0.149959 | + | 0.988692i | ||||||||
−375.316 | − | 5821.35i | −0.0845963 | − | 1.31213i | |||||
−1142.36 | − | 1978.63i | −0.256065 | − | 0.443517i | 0.709120 | − | 0.705088i | ||
−0.965184 | + | 0.261571i | ||||||||
−1334.80 | − | 1346.24i | −0.297551 | − | 0.300101i | |||||
16.9933 | + | 468.919i | 0.00376732 | + | 0.103957i | |||||
4365.83 | − | 2910.42i | 0.962588 | − | 0.641697i | |||||
−7766.33 | + | 4483.90i | −1.70301 | + | 0.983233i | |||||
5166.02 | − | 3946.54i | 1.12666 | − | 0.860703i | |||||
1467.21 | + | 847.095i | 0.318253 | + | 0.183744i | 0.650614 | − | 0.759409i | ||
−0.332360 | + | 0.943152i | ||||||||
189.099 | − | 382.427i | 0.0407965 | − | 0.0825052i | |||||
−23.1218 | −0.00496152 | |||||||||
7883.28 | + | 2388.80i | 1.68256 | + | 0.509850i | |||||
−7993.95 | −1.69708 | −0.848539 | − | 0.529133i | ||||||
−0.848539 | + | 0.529133i | ||||||||
−3573.10 | + | 7226.08i | −0.754520 | + | 1.52591i | |||||
565.457 | + | 326.467i | 0.118774 | + | 0.0685740i | 0.558210 | − | 0.829700i | ||
−0.439436 | + | 0.898274i | ||||||||
2314.35 | + | 3029.48i | 0.483561 | + | 0.632981i | |||||
6433.48 | − | 3714.37i | 1.33715 | − | 0.772002i | |||||
−250.247 | + | 166.824i | −0.0517392 | + | 0.0344913i | |||||
−2215.78 | + | 1388.63i | −0.455726 | + | 0.285604i | |||||
−7064.65 | − | 1444.46i | −1.44545 | − | 0.295540i | |||||
2017.78 | + | 3494.89i | 0.410701 | + | 0.711355i | |||||
489.843 | + | 7597.73i | 0.0991883 | + | 1.53846i | |||||
−5000.53 | − | 2887.06i | −1.00734 | − | 0.581589i | |||||
−8800.52 | + | 1139.52i | −1.76374 | + | 0.228374i | |||||
4866.56i | 0.970332i | 0.874422 | + | 0.485166i | ||||||
−0.874422 | + | 0.485166i | ||||||||
−7857.08 | + | 1081.84i | −1.55862 | + | 0.214607i | |||||
−2278.74 | −0.449740 | |||||||||
−2200.83 | − | 2525.82i | −0.432164 | − | 0.495981i | |||||
−1800.04 | + | 3117.75i | −0.351679 | + | 0.609126i | |||||
8791.96 | − | 566.838i | 1.70908 | − | 0.110188i | |||||
266.782 | − | 154.027i | 0.0516000 | − | 0.0297912i | |||||
−15778.8 | − | 6575.26i | −3.03663 | − | 1.26541i | |||||
2554.92 | + | 4076.77i | 0.489246 | + | 0.780668i | |||||
2112.65 | − | 1408.37i | 0.402547 | − | 0.268353i | |||||
3587.20 | + | 6213.22i | 0.680130 | + | 1.17802i | |||||
−753.556 | − | 2861.08i | −0.142169 | − | 0.539784i | |||||
3926.08 | − | 6800.16i | 0.737070 | − | 1.27664i | |||||
−2991.70 | − | 1479.31i | −0.558901 | − | 0.276361i | |||||
8098.28i | 1.50552i | 0.658297 | + | 0.752758i | ||||||
−0.658297 | + | 0.752758i | ||||||||
−3230.35 | − | 3925.25i | −0.597617 | − | 0.726175i | |||||
− | 13220.1i | − | 2.43386i | |||||||
−14.3038 | + | 28.9274i | −0.00262065 | + | 0.00529989i | |||||
221.066 | − | 382.897i | 0.0403071 | − | 0.0698139i | −0.845168 | − | 0.534501i | ||
0.885475 | + | 0.464687i | ||||||||
−542.269 | − | 186.013i | −0.0983972 | − | 0.0337529i | |||||
2747.89 | + | 4759.48i | 0.496230 | + | 0.859495i | 0.999991 | − | 0.00434826i | ||
−0.503761 | + | 0.863843i | ||||||||
−3270.80 | − | 4906.42i | −0.587841 | − | 0.881800i | |||||
14491.8 | − | 525.171i | 2.59213 | − | 0.0939366i | |||||
1390.89 | − | 3337.75i | 0.247607 | − | 0.594187i | |||||
2494.51 | − | 1440.21i | 0.441974 | − | 0.255174i | −0.262461 | − | 0.964943i | ||
0.704435 | + | 0.709769i | ||||||||
317.604 | + | 4926.20i | 0.0560073 | + | 0.868704i | |||||
2349.31 | − | 4069.13i | 0.412340 | − | 0.714193i | |||||
−6177.55 | + | 7944.94i | −1.07917 | + | 1.38792i | |||||
5137.30 | 0.893260 | |||||||||
3043.20 | + | 4225.05i | 0.526680 | + | 0.731220i | |||||
− | 1369.38i | − | 0.235897i | |||||||
1727.54 | − | 223.687i | 0.296217 | − | 0.0383550i | |||||
−701.487 | − | 405.004i | −0.119728 | − | 0.0691248i | |||||
1532.13 | − | 98.7799i | 0.260297 | − | 0.0167819i | |||||
1881.52 | + | 3258.89i | 0.318191 | + | 0.551123i | |||||
−613.256 | − | 3135.45i | −0.103236 | − | 0.527824i | |||||
−5704.81 | − | 3023.67i | −0.955976 | − | 0.506688i | |||||
8650.14 | + | 12975.8i | 1.44295 | + | 2.16453i | |||||
3370.95 | − | 1946.22i | 0.559771 | − | 0.323184i | −0.193283 | − | 0.981143i | ||
0.753053 | + | 0.657959i | ||||||||
4897.05 | − | 3741.07i | 0.809520 | − | 0.618428i | |||||
−5107.60 | − | 2948.88i | −0.840526 | − | 0.485278i | |||||
−6088.52 | − | 3010.61i | −0.997453 | − | 0.493213i | |||||
20268.8 | 3.30568 | |||||||||
2207.63 | − | 9435.25i | 0.358442 | − | 1.53195i | |||||
7323.86 | 1.18385 | 0.591923 | − | 0.805994i | ||||||
0.591923 | + | 0.805994i | ||||||||
5545.93 | + | 2742.31i | 0.892482 | + | 0.441307i | |||||
7187.76 | + | 4149.85i | 1.15158 | + | 0.664865i | |||||
−3701.50 | + | 2827.74i | −0.590418 | + | 0.451046i | |||||
17.2474 | − | 9.95781i | 0.00273901 | − | 0.00158137i | |||||
−2889.11 | − | 4333.85i | −0.456798 | − | 0.685228i | |||||
−688.963 | − | 6314.98i | −0.108456 | − | 0.994101i | |||||
−5768.85 | + | 1128.32i | −0.904174 | + | 0.176845i | |||||
−7986.58 | − | 13833.2i | −1.24633 | − | 2.15870i | |||||
219.603 | − | 14.1583i | 0.0341212 | − | 0.00219987i | |||||
1255.10 | + | 724.632i | 0.194171 | + | 0.112105i | 0.593934 | − | 0.804514i | ||
−0.399763 | + | 0.916619i | ||||||||
8882.16 | − | 1150.09i | 1.36820 | − | 0.177159i | |||||
− | 6471.81i | − | 0.992630i | −0.868142 | − | 0.496315i | ||||
0.868142 | − | 0.496315i | ||||||||
5620.16 | − | 12484.6i | 0.858315 | − | 1.90666i | |||||
−325.173 | −0.0494486 | |||||||||
5891.89 | − | 1965.05i | 0.892156 | − | 0.297549i | |||||
−2516.41 | + | 4358.55i | −0.379419 | + | 0.657173i | −0.990978 | − | 0.134026i | ||
0.611559 | + | 0.791199i | ||||||||
172.469 | + | 2675.09i | 0.0258944 | + | 0.401636i | |||||
8112.11 | − | 4683.53i | 1.21281 | − | 0.700213i | |||||
3787.38 | − | 9088.66i | 0.563851 | − | 1.35309i | |||||
2100.34 | − | 3962.75i | 0.311378 | − | 0.587482i | |||||
−1175.68 | − | 1763.59i | −0.173565 | − | 0.260360i | |||||
−5022.83 | − | 8699.80i | −0.738426 | − | 1.27899i | −0.953204 | − | 0.302329i | ||
0.214777 | − | 0.976663i | ||||||||
−5748.66 | + | 16758.6i | −0.841614 | + | 2.45349i | |||||
−2360.94 | + | 4089.27i | −0.344211 | + | 0.596190i | |||||
−4782.60 | + | 9672.12i | −0.694386 | + | 1.40430i | |||||
1257.03i | 0.181755i | |||||||||
161.156 | − | 429.960i | 0.0232056 | − | 0.0619121i | |||||
21803.7i | 3.12673i | |||||||||
−8280.09 | − | 4094.27i | −1.18253 | − | 0.584730i | |||||
−2105.38 | + | 3646.63i | −0.299455 | + | 0.518672i | −0.976011 | − | 0.217719i | ||
0.676556 | + | 0.736391i | ||||||||
−6151.85 | + | 1620.28i | −0.871433 | + | 0.229519i | |||||
−2812.20 | − | 4870.87i | −0.396741 | − | 0.687175i | |||||
−6849.03 | + | 4565.81i | −0.962335 | + | 0.641528i | |||||
−3951.21 | + | 143.189i | −0.552929 | + | 0.0200377i | |||||
35.0415 | + | 14.6023i | 0.00488391 | + | 0.00203520i | |||||
−10289.1 | + | 5940.41i | −1.42828 | + | 0.824619i | −0.996985 | − | 0.0775918i | ||
−0.431296 | + | 0.902210i | ||||||||
2868.72 | − | 184.953i | 0.396625 | − | 0.0255713i | |||||
−10956.8 | + | 18977.8i | −1.50882 | + | 2.61336i | |||||
5947.45 | − | 5182.20i | 0.815734 | − | 0.710775i | |||||
424.399 | 0.0579779 | |||||||||
−552.032 | − | 5468.51i | −0.0751150 | − | 0.744100i | |||||
− | 6238.70i | − | 0.845543i | −0.906236 | − | 0.422771i | ||||
0.906236 | − | 0.422771i | ||||||||
−7209.33 | + | 933.484i | −0.973239 | + | 0.126018i | |||||
−795.362 | − | 459.203i | −0.106949 | − | 0.0617471i | |||||
181.926 | + | 2821.77i | 0.0243668 | + | 0.377943i | |||||
3360.68 | + | 5820.87i | 0.448363 | + | 0.776587i | 0.998280 | − | 0.0586324i | ||
−0.549917 | + | 0.835219i | ||||||||
9794.39 | + | 6650.71i | 1.30161 | + | 0.883835i | |||||
−10583.8 | + | 6632.90i | −1.40104 | + | 0.878037i | |||||
1915.24 | − | 1276.77i | 0.252547 | − | 0.168357i | |||||
−8961.82 | + | 5174.11i | −1.17714 | + | 0.679625i | |||||
3430.14 | + | 4490.05i | 0.448812 | + | 0.587494i | |||||
−351.685 | − | 203.046i | −0.0458385 | − | 0.0264648i | 0.476906 | − | 0.878954i | ||
−0.522744 | + | 0.852490i | ||||||||
−624.347 | + | 1262.65i | −0.0810642 | + | 0.163941i | |||||
−2944.43 | −0.380834 | |||||||||
7504.32 | + | 1980.27i | 0.966902 | + | 0.255150i | |||||
−4492.46 | −0.576627 | |||||||||
−16.0712 | + | 32.5017i | −0.00205496 | + | 0.00415587i | |||||
−7694.23 | − | 4442.26i | −0.980097 | − | 0.565860i | |||||
8688.75 | − | 6637.71i | 1.10259 | − | 0.842317i | |||||
11599.8 | − | 6697.13i | 1.46644 | − | 0.846648i | 0.467143 | − | 0.884182i | ||
0.999295 | + | 0.0375335i | ||||||||
356.774 | − | 237.839i | 0.0449334 | − | 0.0299542i | |||||
5930.95 | − | 3716.94i | 0.744158 | − | 0.466365i | |||||
11777.6 | + | 11878.5i | 1.47220 | + | 1.48482i | |||||
2639.24 | + | 4571.30i | 0.328672 | + | 0.569277i | 0.982249 | − | 0.187584i | ||
−0.653577 | + | 0.756860i | ||||||||
−1534.07 | − | 23794.3i | −0.190330 | − | 2.95211i | |||||
1.55786 | + | 0.899430i | 0.000192562 | + | 0.000111176i | |||||
−901.524 | − | 6962.50i | −0.111021 | − | 0.857419i | |||||
− | 4280.05i | − | 0.525130i | |||||||
720.484 | + | 7137.22i | 0.0880715 | + | 0.872449i | |||||
5079.95 | 0.618683 | |||||||||
3599.73 | + | 4131.30i | 0.436797 | + | 0.501298i | |||||
3940.94 | − | 6825.91i | 0.476447 | − | 0.825231i | −0.523189 | − | 0.852217i | ||
0.999636 | + | 0.0269860i | ||||||||
−7833.61 | + | 505.051i | −0.943596 | + | 0.0608359i | |||||
−13134.0 | + | 7582.92i | −1.57628 | + | 0.910067i | |||||
−4976.14 | + | 11941.4i | −0.595041 | + | 1.42793i | |||||
−2145.63 | + | 77.7560i | −0.255641 | + | 0.00926422i | |||||
−9318.57 | + | 6212.10i | −1.10624 | + | 0.737460i | |||||
−7570.76 | − | 13112.9i | −0.895504 | − | 1.55106i | |||||
419.801 | + | 372.135i | 0.0494771 | + | 0.0438592i | |||||
−616.555 | + | 1067.90i | −0.0724048 | + | 0.125409i | |||||
4021.55 | + | 1988.55i | 0.470576 | + | 0.232686i | |||||
3028.37i | 0.353092i | 0.984292 | + | 0.176546i | ||||||
−0.984292 | + | 0.176546i | ||||||||
−22294.3 | − | 8356.24i | −2.59012 | − | 0.970816i | |||||
10492.4i | 1.21465i | 0.794452 | + | 0.607327i | ||||||
−0.794452 | + | 0.607327i | ||||||||
5805.10 | − | 11740.0i | 0.669639 | − | 1.35425i | |||||
6943.60 | − | 12026.7i | 0.798131 | − | 1.38240i | |||||
1567.38 | − | 4569.27i | 0.179525 | − | 0.523357i | |||||
3871.10 | + | 6704.94i | 0.441826 | + | 0.765264i | |||||
−6112.13 | − | 9168.60i | −0.695149 | − | 1.04277i | |||||
3464.71 | − | 6536.92i | 0.392668 | − | 0.740852i | |||||
−4640.40 | − | 1933.72i | −0.524071 | − | 0.218388i | |||||
752.834 | − | 434.649i | 0.0847253 | − | 0.0489162i | |||||
929.233 | + | 14412.9i | 0.104213 | + | 1.61640i | |||||
−6466.81 | + | 11200.8i | −0.722727 | + | 1.25180i | 0.237176 | + | 0.971467i | ||
−0.959903 | + | 0.280333i | ||||||||
6478.91 | + | 1765.68i | 0.721566 | + | 0.196646i | |||||
15739.7 | 1.74689 | 0.873444 | − | 0.486925i | ||||||
0.873444 | + | 0.486925i | ||||||||
−12.4812 | + | 27.7258i | −0.00138046 | + | 0.00306655i | |||||
− | 22005.9i | − | 2.42553i | |||||||
−472.858 | − | 3651.90i | −0.0519399 | − | 0.401133i | |||||
−3979.56 | − | 2297.60i | −0.435625 | − | 0.251508i | |||||
25596.1 | − | 1650.24i | 2.79230 | − | 0.180026i | |||||
−2252.15 | − | 3900.84i | −0.244850 | − | 0.424093i | 0.717239 | − | 0.696827i | ||
−0.962090 | + | 0.272734i | ||||||||
−2929.26 | − | 14976.7i | −0.317380 | − | 1.62270i | |||||
13627.4 | − | 988.990i | 1.47148 | − | 0.106791i | |||||
144.025 | + | 216.047i | 0.0154990 | + | 0.0232495i | |||||
−13011.1 | + | 7511.96i | −1.39543 | + | 0.805653i | −0.993910 | − | 0.110197i | ||
−0.401521 | + | 0.915850i | ||||||||
5878.34 | + | 7694.74i | 0.628319 | + | 0.822468i | |||||
−20951.3 | − | 12096.2i | −2.23188 | − | 1.28858i | |||||
−7625.44 | − | 3770.57i | −0.809585 | − | 0.400317i | |||||
−25464.9 | −2.69451 | |||||||||
−5545.61 | + | 7691.66i | −0.584834 | + | 0.811153i | |||||
−1550.44 | −0.162962 | −0.0814809 | − | 0.996675i | ||||||
−0.0814809 | + | 0.996675i | ||||||||
26397.3 | + | 13052.7i | 2.76529 | + | 1.36736i | |||||
4195.46 | + | 2422.25i | 0.438041 | + | 0.252903i | |||||
−4930.48 | − | 6453.99i | −0.513076 | − | 0.671616i | |||||
−6355.61 | + | 3669.41i | −0.659189 | + | 0.380583i | |||||
3344.93 | + | 5017.62i | 0.345783 | + | 0.518698i | |||||
−996.832 | − | 528.343i | −0.102708 | − | 0.0544376i | |||||
1641.50 | + | 8392.62i | 0.168575 | + | 0.861887i | |||||
6335.06 | + | 10972.7i | 0.648450 | + | 1.12315i | 0.983493 | + | 0.180946i | ||
−0.335043 | + | 0.942203i | ||||||||
−5304.38 | + | 341.985i | −0.541173 | + | 0.0348907i | |||||
2691.66 | + | 1554.03i | 0.273717 | + | 0.158030i | |||||
2007.16 | + | 15501.4i | 0.203444 | + | 1.57121i | |||||
4811.69i | 0.486123i | 0.970011 | + | 0.243062i | ||||||
−0.970011 | + | 0.243062i | ||||||||
8587.64 | + | 11922.7i | 0.864791 | + | 1.20064i | |||||
5222.12 | 0.524174 | 0.262087 | − | 0.965044i | ||||||
0.262087 | + | 0.965044i | ||||||||
−8455.94 | − | 2304.47i | −0.846028 | − | 0.230566i | |||||
46.6372 | − | 80.7781i | 0.00465107 | − | 0.00805590i | |||||
605.744 | + | 9395.41i | 0.0602157 | + | 0.933978i | |||||
10536.9 | − | 6083.50i | 1.04409 | − | 0.602807i | 0.123103 | − | 0.992394i | ||
0.920990 | + | 0.389587i | ||||||||
911.623 | + | 379.887i | 0.0900423 | + | 0.0375220i | |||||
19084.9 | − | 691.621i | 1.87902 | − | 0.0680940i | |||||
−10750.9 | − | 16127.1i | −1.05511 | − | 1.58274i | |||||
8521.86 | + | 14760.3i | 0.833687 | + | 1.44399i | |||||
851.138 | − | 2481.26i | 0.0830017 | − | 0.241969i | |||||
4456.65 | − | 7719.15i | 0.433229 | − | 0.750374i | |||||
−4632.58 | + | 9368.73i | −0.448906 | + | 0.907848i | |||||
12082.8i | 1.16715i | |||||||||
−3388.80 | + | 2788.87i | −0.326314 | + | 0.268545i | |||||
− | 8504.07i | − | 0.816299i | |||||||
−14513.8 | − | 7176.69i | −1.38880 | − | 0.686724i | |||||
−6773.05 | + | 11731.3i | −0.646072 | + | 1.11903i | 0.337981 | + | 0.941153i | ||
−0.984053 | + | 0.177877i | ||||||||
19296.0 | − | 21767.5i | 1.83487 | − | 2.06989i | |||||
229.421 | + | 397.369i | 0.0217478 | + | 0.0376683i | |||||
−4339.53 | + | 2892.89i | −0.410083 | + | 0.273377i | |||||
−7992.09 | − | 12752.6i | −0.752904 | − | 1.20138i | |||||
473.157 | − | 1135.45i | 0.0444363 | − | 0.106635i | |||||
12023.1 | − | 6941.54i | 1.12565 | − | 0.649895i | |||||
−13020.8 | + | 839.478i | −1.21530 | + | 0.0783529i | |||||
3537.94 | − | 6127.89i | 0.329198 | − | 0.570187i | −0.653155 | − | 0.757224i | ||
0.982353 | + | 0.187037i | ||||||||
5938.08 | + | 6814.95i | 0.550829 | + | 0.632169i | |||||
−4437.63 | −0.410382 | |||||||||
7192.99 | − | 17660.9i | 0.663155 | − | 1.62824i | |||||
6617.13i | 0.608202i | 0.952640 | + | 0.304101i | ||||||
−0.952640 | + | 0.304101i | ||||||||
1185.79 | + | 9157.92i | 0.108658 | + | 0.839168i | |||||
−3513.02 | − | 2028.24i | −0.320930 | − | 0.185289i | |||||
26.0716 | + | 404.384i | 0.00237453 | + | 0.0368302i | |||||
−13432.7 | − | 23266.1i | −1.21970 | − | 2.11259i | |||||
−26.1557 | − | 26.3798i | −0.00236779 | − | 0.00238808i | |||||
7478.45 | − | 4686.76i | 0.674959 | − | 0.422998i | |||||
−14820.7 | + | 9880.05i | −1.33360 | + | 0.889027i | |||||
11245.8 | − | 6492.78i | 1.00888 | − | 0.582478i | 0.0980181 | − | 0.995185i | ||
0.910864 | + | 0.412706i | ||||||||
17040.4 | − | 13017.9i | 1.52414 | − | 1.16436i | |||||
17001.8 | + | 9816.02i | 1.51614 | + | 0.875344i | |||||
8196.49 | − | 16576.2i | 0.728739 | − | 1.47377i | |||||
−1755.69 | −0.155631 | −0.0778154 | − | 0.996968i | ||||||
−0.0778154 | + | 0.996968i | ||||||||
−4841.03 | + | 15975.9i | −0.427850 | + | 1.41195i | |||||
−17249.9 | −1.52002 | |||||||||
4275.74 | − | 8647.07i | 0.375651 | − | 0.759702i | |||||
−15486.7 | − | 8941.24i | −1.35658 | − | 0.783223i | |||||
545.583 | + | 714.167i | 0.0476503 | + | 0.0623741i | |||||
4198.62 | − | 2424.08i | 0.365620 | − | 0.211091i | −0.305923 | − | 0.952056i | ||
0.671543 | + | 0.740965i | ||||||||
11202.4 | − | 7467.96i | 0.972652 | − | 0.648406i | |||||
743.994 | + | 20530.1i | 0.0644078 | + | 1.77730i | |||||
−6343.65 | − | 9694.12i | −0.547563 | − | 0.836765i | |||||
2425.29 | + | 4200.72i | 0.208731 | + | 0.361533i | |||||
−1271.17 | − | 19716.5i | −0.109083 | − | 1.69194i | |||||
27527.4 | + | 15892.9i | 2.35534 | + | 1.35986i | |||||
16849.5 | − | 2181.72i | 1.43751 | − | 0.186133i | |||||
11961.6i | 1.01754i | |||||||||
−6293.17 | + | 4532.82i | −0.533795 | + | 0.384480i | |||||
−636.054 | −0.0537951 | |||||||||
1039.23 | − | 905.514i | 0.0876409 | − | 0.0763642i | |||||
6337.65 | − | 10977.1i | 0.532932 | − | 0.923066i | −0.466328 | − | 0.884612i | ||
0.999260 | − | 0.0384538i | ||||||||
−15397.2 | + | 992.695i | −1.29103 | + | 0.0832357i | |||||
−2491.10 | + | 1438.24i | −0.208276 | + | 0.120248i | −0.600510 | − | 0.799617i | ||
0.392234 | + | 0.919865i | ||||||||
4057.93 | + | 1691.00i | 0.338304 | + | 0.140976i | |||||
−18532.4 | + | 34965.4i | −1.54061 | + | 2.90670i | |||||
16619.8 | − | 11079.4i | 1.37768 | − | 0.918411i | |||||
−8.59692 | − | 14.8903i | −0.000710603 | − | 0.00123080i | |||||
−17360.0 | + | 4572.29i | −1.43086 | + | 0.376863i | |||||
1143.25 | − | 1980.16i | 0.0939628 | − | 0.162748i | |||||
−10639.4 | − | 5260.87i | −0.871971 | − | 0.431165i | |||||
− | 4617.99i | − | 0.377408i | |||||||
−6756.37 | + | 1124.96i | −0.550612 | + | 0.0916788i | |||||
437.575i | 0.0355600i | |||||||||
−12614.5 | + | 25511.0i | −1.02225 | + | 2.06736i | |||||
−6175.98 | + | 10697.1i | −0.499086 | + | 0.864442i | |||||
−7570.67 | + | 22070.2i | −0.610081 | + | 1.77852i | |||||
3063.15 | + | 5305.53i | 0.246154 | + | 0.426351i | |||||
8641.36 | + | 12962.6i | 0.692482 | + | 1.03877i | |||||
−9739.28 | + | 6606.61i | −0.778294 | + | 0.527954i | |||||
6346.57 | − | 15230.0i | 0.505765 | − | 1.21369i | |||||
14454.9 | − | 8345.57i | 1.14874 | − | 0.663224i | 0.200158 | − | 0.979764i | ||
0.948579 | + | 0.316540i | ||||||||
−415.768 | − | 6448.78i | −0.0329497 | − | 0.511068i | |||||
15593.6 | − | 27008.8i | 1.23238 | − | 2.13455i | |||||
−1696.49 | − | 5086.67i | −0.133707 | − | 0.400899i | |||||
−9047.73 | −0.711123 | |||||||||
−544.793 | + | 1210.20i | −0.0427014 | + | 0.0948570i | |||||
− | 13392.5i | − | 1.04684i | −0.852074 | − | 0.523422i | ||||
0.852074 | − | 0.523422i | ||||||||
14717.9 | − | 1905.71i | 1.14729 | − | 0.148555i | |||||
13780.9 | + | 7956.41i | 1.07132 | + | 0.618527i | |||||
−25312.2 | + | 1631.94i | −1.96239 | + | 0.126520i | |||||
−3165.36 | − | 5482.57i | −0.244735 | − | 0.423893i | |||||
18045.7 | − | 3529.52i | 1.39144 | − | 0.272149i | |||||
−7396.38 | − | 3920.24i | −0.568763 | − | 0.301457i | |||||
2657.98 | + | 3987.15i | 0.203839 | + | 0.305772i | |||||
20604.4 | − | 11895.9i | 1.57587 | − | 0.909828i | |||||
958.887 | − | 732.535i | 0.0731400 | − | 0.0558748i | |||||
−17896.2 | − | 10332.4i | −1.36138 | − | 0.785992i | −0.371571 | − | 0.928405i | ||
−0.989807 | + | 0.142413i | ||||||||
−58.6230 | − | 28.9874i | −0.00444751 | − | 0.00219917i | |||||
805.086 | 0.0609150 | |||||||||
16992.5 | + | 15939.7i | 1.28226 | + | 1.20282i | |||||
−8308.90 | −0.625316 | |||||||||
−20267.9 | − | 10021.9i | −1.52126 | − | 0.752221i | |||||
10428.6 | + | 6020.95i | 0.780662 | + | 0.450715i | 0.836665 | − | 0.547715i | ||
−0.0560031 | + | 0.998431i | ||||||||
−18118.5 | + | 13841.5i | −1.35270 | + | 1.03339i | |||||
−17282.0 | + | 9977.77i | −1.28683 | + | 0.742952i | |||||
1024.37 | + | 1536.63i | 0.0760736 | + | 0.114116i | |||||
−146.046 | − | 4030.05i | −0.0108172 | − | 0.298494i | |||||
2069.79 | + | 10582.4i | 0.152899 | + | 0.781741i | |||||
3066.49 | + | 5311.31i | 0.225929 | + | 0.391321i | 0.956598 | − | 0.291411i | ||
−0.730669 | + | 0.682732i | ||||||||
20968.1 | − | 1351.86i | 1.54080 | − | 0.0993392i | |||||
−9727.66 | − | 5616.27i | −0.712942 | − | 0.411617i | 0.0992074 | − | 0.995067i | ||
−0.812149 | + | 0.583450i | ||||||||
−843.622 | + | 109.235i | −0.0616671 | + | 0.00798483i | |||||
− | 8172.91i | − | 0.595861i | |||||||
−7358.81 | + | 742.852i | −0.535106 | + | 0.0540175i | |||||
25980.2 | 1.88426 | |||||||||
−16100.9 | − | 12519.1i | −1.16470 | − | 0.905609i | |||||
3029.04 | − | 5246.45i | 0.218545 | − | 0.378531i | −0.735818 | − | 0.677179i | ||
0.954363 | + | 0.298648i | ||||||||
734.379 | + | 11390.6i | 0.0528480 | + | 0.819701i | |||||
−5761.74 | + | 3326.54i | −0.413557 | + | 0.238767i | |||||
−8283.22 | + | 19877.4i | −0.593004 | + | 1.42304i | |||||
−7575.99 | − | 12088.7i | −0.540973 | − | 0.863206i | |||||
−9058.89 | − | 13588.9i | −0.645195 | − | 0.967835i | |||||
3662.44 | + | 6343.53i | 0.260176 | + | 0.450638i | |||||
−23741.5 | − | 8143.96i | −1.68224 | − | 0.577054i | |||||
1213.29 | − | 2101.49i | 0.0857496 | − | 0.148523i | |||||
−6101.14 | + | 12338.7i | −0.430095 | + | 0.869806i | |||||
− | 6644.32i | − | 0.467190i | −0.972334 | − | 0.233595i | ||||
0.972334 | − | 0.233595i | ||||||||
−21277.2 | − | 7107.40i | −1.49227 | − | 0.498477i | |||||
− | 26.8334i | − | 0.00187717i | |||||||
−5777.52 | − | 2856.82i | −0.403147 | − | 0.199345i | |||||
52.3998 | − | 90.7592i | 0.00364711 | − | 0.00631698i | |||||
−2413.40 | − | 9163.12i | −0.167551 | − | 0.636152i | |||||
2137.96 | + | 3703.05i | 0.148053 | + | 0.256435i | 0.930508 | − | 0.366272i | ||
−0.782455 | + | 0.622707i | ||||||||
−8472.50 | + | 5648.08i | −0.585237 | + | 0.390141i | |||||
5726.41 | + | 9137.38i | 0.394555 | + | 0.629573i | |||||
23001.8 | + | 9585.20i | 1.58086 | + | 0.658767i | |||||
−1073.31 | + | 619.674i | −0.0735805 | + | 0.0424817i | |||||
869.500 | − | 56.0587i | 0.0594590 | − | 0.00383346i | |||||
−3875.72 | + | 6712.95i | −0.264370 | + | 0.457903i | −0.967398 | − | 0.253259i | ||
0.703028 | + | 0.711162i | ||||||||
−31762.3 | − | 36452.6i | −2.16115 | − | 2.48029i | |||||
3307.77 | 0.224504 | 0.112252 | − | 0.993680i | ||||||
0.112252 | + | 0.993680i | ||||||||
1366.76 | + | 13539.3i | 0.0925331 | + | 0.916647i | |||||
41075.9i | 2.77403i | |||||||||
7122.07 | − | 922.185i | 0.479789 | − | 0.0621245i | |||||
−2617.44 | − | 1511.18i | −0.175891 | − | 0.101551i | |||||
1305.58 | + | 20250.2i | 0.0875174 | + | 1.35744i | |||||
9431.37 | + | 16335.6i | 0.630655 | + | 1.09233i | 0.987418 | + | 0.158131i | ||
−0.356764 | + | 0.934195i | ||||||||
1676.33 | − | 8198.72i | 0.111816 | − | 0.546878i | |||||
−750.896 | − | 20720.5i | −0.0499636 | − | 1.37872i | |||||
18479.5 | − | 12319.1i | 1.22658 | − | 0.817681i | |||||
−935.668 | + | 540.208i | −0.0619527 | + | 0.0357684i | |||||
−5730.56 | − | 7501.30i | −0.378504 | − | 0.495461i | |||||
9142.16 | + | 5278.23i | 0.602363 | + | 0.347774i | 0.769971 | − | 0.638079i | ||
−0.167608 | + | 0.985854i | ||||||||
−10152.7 | + | 20532.4i | −0.667313 | + | 1.34955i | |||||
22689.1 | 1.48767 | |||||||||
−3269.20 | − | 14001.9i | −0.213831 | − | 0.915835i | |||||
29924.7 | 1.95255 | 0.976274 | − | 0.216541i | ||||||
0.976274 | + | 0.216541i | ||||||||
16573.8 | − | 33518.2i | 1.07880 | − | 2.18171i | |||||
−2646.83 | − | 1528.15i | −0.171866 | − | 0.0992270i | 0.411599 | − | 0.911365i | ||
−0.583466 | + | 0.812138i | ||||||||
−72.5318 | + | 55.4102i | −0.00469830 | + | 0.00358924i | |||||
9032.31 | − | 5214.81i | 0.583662 | − | 0.336978i | |||||
1040.52 | − | 693.652i | 0.0670759 | − | 0.0447153i | |||||
−20140.3 | − | 10674.8i | −1.29519 | − | 0.686478i | |||||
−1141.67 | − | 1151.45i | −0.0732425 | − | 0.0738702i | |||||
−10008.7 | − | 17335.6i | −0.640557 | − | 1.10948i | |||||
1000.11 | + | 15512.2i | 0.0638536 | + | 0.990403i | |||||
−11229.9 | − | 6483.61i | −0.715280 | − | 0.412967i | |||||
−2141.69 | − | 16540.3i | −0.136087 | − | 1.05100i | |||||
− | 4385.70i | − | 0.278011i | |||||||
37400.9 | + | 16836.6i | 2.36522 | + | 1.06474i | |||||
−27891.8 | −1.75968 | −0.879838 | − | 0.475274i | ||||||
−0.879838 | + | 0.475274i | ||||||||
7710.96 | − | 6718.80i | 0.485325 | − | 0.422879i | |||||
−18927.4 | + | 32783.2i | −1.18846 | + | 2.05848i | |||||
8130.16 | − | 524.170i | 0.509290 | − | 0.0328351i | |||||
1912.34 | − | 1104.09i | 0.119510 | − | 0.0689992i | |||||
−5370.66 | + | 12888.1i | −0.334844 | + | 0.803531i | |||||
−956.635 | − | 463.467i | −0.0595027 | − | 0.0288277i | |||||
11057.9 | − | 7371.59i | 0.686184 | − | 0.457436i | |||||
9491.42 | + | 16439.6i | 0.587598 | + | 1.01775i | |||||
−25623.0 | + | 12398.9i | −1.58256 | + | 0.765797i | |||||
−3917.07 | + | 6784.57i | −0.241365 | + | 0.418057i | −0.961103 | − | 0.276189i | ||
0.719738 | + | 0.694245i | ||||||||
13025.1 | + | 6440.57i | 0.800718 | + | 0.395933i | |||||
5261.50i | 0.322695i | 0.986898 | + | 0.161348i | ||||||
−0.986898 | + | 0.161348i | ||||||||
2418.86 | + | 14527.4i | 0.148007 | + | 0.888914i | |||||
− | 41745.3i | − | 2.54840i | |||||||
1716.78 | − | 3471.94i | 0.104560 | − | 0.211458i | |||||
3563.73 | − | 6172.57i | 0.216545 | − | 0.375067i | −0.737204 | − | 0.675670i | ||
0.953749 | + | 0.300603i | ||||||||
4660.44 | + | 1598.66i | 0.282530 | + | 0.0969153i | |||||
1988.82 | + | 3444.74i | 0.120290 | + | 0.208348i | |||||
−1270.80 | − | 1906.29i | −0.0766847 | − | 0.115032i | |||||
41.1567 | − | 77.6511i | 0.00247782 | − | 0.00467494i | |||||
4008.40 | + | 1670.36i | 0.240769 | + | 0.100332i | |||||
5945.31 | − | 3432.52i | 0.356291 | − | 0.205705i | −0.311162 | − | 0.950357i | ||
0.667452 | + | 0.744652i | ||||||||
684.789 | + | 10621.4i | 0.0409440 | + | 0.635063i | |||||
5400.76 | − | 9354.38i | 0.322176 | − | 0.558024i | |||||
2376.02 | − | 8718.46i | 0.141415 | − | 0.518901i | |||||
−44186.4 | −2.62386 | |||||||||
−10673.3 | − | 14818.3i | −0.632351 | − | 0.877927i | |||||
19567.2i | 1.15665i | 0.815807 | + | 0.578324i | ||||||
−0.815807 | + | 0.578324i | ||||||||
5664.03 | + | 43743.4i | 0.334048 | + | 2.57987i | |||||
−6568.19 | − | 3792.15i | −0.386495 | − | 0.223143i | 0.294146 | − | 0.955761i | ||
−0.680640 | + | 0.732618i | ||||||||
10986.7 | − | 708.336i | 0.645028 | − | 0.0415865i | |||||
−375.247 | − | 649.947i | −0.0219810 | − | 0.0380722i | |||||
17106.1 | − | 3345.75i | 0.999769 | − | 0.195543i | |||||
609.475 | + | 16818.1i | 0.0355405 | + | 0.980719i | |||||
−9252.87 | − | 13879.9i | −0.538351 | − | 0.807562i | |||||
−11788.5 | + | 6806.10i | −0.684338 | + | 0.395103i | |||||
−11662.5 | − | 15266.2i | −0.675503 | − | 0.884232i | |||||
21293.6 | + | 12293.8i | 1.23058 | + | 0.710475i | |||||
51389.7 | + | 25410.8i | 2.96322 | + | 1.46523i | |||||
−13706.3 | −0.788563 | |||||||||
17426.1 | − | 21154.5i | 1.00034 | − | 1.21436i | |||||
−31020.7 | −1.77676 | −0.888379 | − | 0.459110i | ||||||
−0.888379 | + | 0.459110i | ||||||||
18569.0 | + | 9181.83i | 1.06120 | + | 0.524734i | |||||
−23749.9 | − | 13712.0i | −1.35427 | − | 0.781891i | |||||
10623.2 | + | 13905.7i | 0.604414 | + | 0.791176i | |||||
−19466.4 | + | 11238.9i | −1.10510 | + | 0.638032i | −0.937557 | − | 0.347832i | ||
−0.167547 | + | 0.985864i | ||||||||
13021.2 | + | 19532.7i | 0.737578 | + | 1.10642i | |||||
11084.0 | − | 6946.33i | 0.626455 | − | 0.392601i | |||||
−12929.9 | + | 2528.93i | −0.729175 | + | 0.142618i | |||||
−8715.01 | − | 15094.8i | −0.490396 | − | 0.849391i | |||||
56.2132 | − | 3.62419i | 0.00315618 | − | 0.000203486i | |||||
7487.89 | + | 4323.14i | 0.419497 | + | 0.242196i | 0.694862 | − | 0.719143i | ||
−0.275365 | + | 0.961340i | ||||||||
−1891.76 | − | 14610.1i | −0.105750 | − | 0.816712i | |||||
− | 36464.2i | − | 2.03391i | |||||||
6170.20 | − | 16874.8i | 0.343410 | − | 0.939186i | |||||
15363.5 | 0.853209 | |||||||||
−16040.9 | − | 4371.59i | −0.888887 | − | 0.242246i | |||||
−330.806 | + | 572.973i | −0.0182913 | + | 0.0316815i | |||||
−2906.75 | − | 45085.3i | −0.160374 | − | 2.48749i | |||||
−2663.91 | + | 1538.01i | −0.146657 | + | 0.0846724i | −0.571533 | − | 0.820579i | ||
0.424876 | + | 0.905252i | ||||||||
574.532 | + | 239.416i | 0.0315613 | + | 0.0131521i | |||||
−13441.9 | − | 21448.7i | −0.736821 | − | 1.17571i | |||||
2273.72 | + | 3410.74i | 0.124365 | + | 0.186556i | |||||
−1482.42 | − | 2567.63i | −0.0809087 | − | 0.140138i | |||||
23961.7 | + | 8219.51i | 1.30498 | + | 0.447643i | |||||
2091.21 | − | 3622.09i | 0.113645 | − | 0.196838i | |||||
8113.62 | − | 16408.6i | 0.439979 | − | 0.889794i | |||||
− | 27212.7i | − | 1.47250i | |||||||
29901.2 | − | 24607.7i | 1.61451 | − | 1.32869i | |||||
1052.30i | 0.0566972i | 0.999598 | + | 0.0283486i | ||||||
−0.999598 | + | 0.0283486i | ||||||||
−824.445 | − | 407.665i | −0.0443257 | − | 0.0219178i | |||||
3422.25 | − | 5927.51i | 0.183603 | − | 0.318009i | |||||
17401.9 | + | 2404.40i | 0.931616 | + | 0.128720i | |||||
28010.9 | + | 48516.2i | 1.49638 | + | 2.59181i | |||||
−11844.4 | + | 7895.89i | −0.631400 | + | 0.420915i | |||||
−16242.3 | + | 588.608i | −0.864009 | + | 0.0313110i | |||||
−2916.44 | + | 6998.65i | −0.154812 | + | 0.371505i | |||||
−14804.1 | + | 8547.16i | −0.784175 | + | 0.452744i | −0.837908 | − | 0.545812i | ||
0.0537327 | + | 0.998555i | ||||||||
26439.1 | − | 1704.59i | 1.39753 | − | 0.0901017i | |||||
9002.49 | − | 15592.8i | 0.474852 | − | 0.822468i | |||||
20996.9 | − | 18295.2i | 1.10518 | − | 0.962982i | |||||
−57.6967 | −0.00303052 | |||||||||
10293.3 | − | 7414.00i | 0.539518 | − | 0.388602i | |||||
2090.11i | 0.109323i | |||||||||
−769.820 | − | 5945.34i | −0.0401809 | − | 0.310318i | |||||
40529.0 | + | 23399.5i | 2.11100 | + | 1.21878i | |||||
−1828.09 | − | 28354.6i | −0.0950188 | − | 1.47379i | |||||
−11239.8 | − | 19467.9i | −0.582995 | − | 1.00978i | −0.995122 | − | 0.0986507i | ||
0.412127 | − | 0.911126i | ||||||||
−35585.3 | + | 35282.9i | −1.84192 | + | 1.82627i | |||||
26461.8 | + | 14025.3i | 1.36683 | + | 0.724452i | |||||
−11112.6 | + | 7408.07i | −0.572809 | + | 0.381856i | |||||
13054.9 | − | 7537.24i | 0.671530 | − | 0.387708i | |||||
−24251.6 | + | 18526.9i | −1.24490 | + | 0.951030i | |||||
30997.2 | + | 17896.2i | 1.58787 | + | 0.916759i | |||||
−1575.92 | + | 3187.08i | −0.0805620 | + | 0.162925i | |||||
26355.5 | 1.34453 | 0.672265 | − | 0.740311i | ||||||
0.672265 | + | 0.740311i | ||||||||
947.629 | − | 888.083i | 0.0482438 | − | 0.0452123i | |||||
31834.0 | 1.61733 | |||||||||
−27335.0 | + | 55281.1i | −1.38591 | + | 2.80280i | |||||
−6664.20 | − | 3847.58i | −0.337188 | − | 0.194676i | |||||
−15860.4 | − | 20761.3i | −0.800845 | − | 1.04830i | |||||
−19348.2 | + | 11170.7i | −0.974954 | + | 0.562890i | −0.900743 | − | 0.434353i | ||
−0.0742108 | + | 0.997243i | ||||||||
−9909.72 | + | 6606.19i | −0.498330 | + | 0.332205i | |||||
−24031.7 | + | 49603.4i | −1.20602 | + | 2.48932i | |||||
−17628.7 | − | 3604.42i | −0.882886 | − | 0.180517i | |||||
−17690.1 | − | 30640.1i | −0.884156 | − | 1.53140i | |||||
−1023.51 | − | 15875.2i | −0.0510516 | − | 0.791837i | |||||
−7009.10 | − | 4046.71i | −0.348896 | − | 0.201435i | 0.315303 | − | 0.948991i | ||
−0.664199 | + | 0.747556i | ||||||||
−23089.1 | + | 2989.65i | −1.14699 | + | 0.148516i | |||||
− | 1171.25i | − | 0.0580662i | |||||||
−10197.4 | − | 4590.53i | −0.504527 | − | 0.227121i | |||||
17583.7 | 0.868214 | 0.434107 | − | 0.900861i | ||||||
0.434107 | + | 0.900861i | ||||||||
70.5376 | + | 80.9538i | 0.00347585 | + | 0.00398912i | |||||
30613.5 | − | 53024.1i | 1.50549 | − | 2.60759i | |||||
−33534.4 | + | 2162.04i | −1.64582 | + | 0.106110i | |||||
26574.1 | − | 15342.6i | 1.30160 | − | 0.751480i | |||||
7505.23 | + | 3127.54i | 0.366869 | + | 0.152880i | |||||
−5450.22 | + | 10283.0i | −0.265883 | + | 0.501647i | |||||
−51572.2 | + | 34379.9i | −2.51087 | + | 1.67384i | |||||
1665.58 | + | 2884.86i | 0.0809291 | + | 0.140173i | 0.903649 | − | 0.428273i | ||
−0.822720 | + | 0.568447i | ||||||||
21576.0 | − | 5682.73i | 1.04627 | − | 0.275569i | |||||
−26724.5 | + | 46288.1i | −1.29335 | + | 2.24015i | |||||
1076.02 | + | 532.064i | 0.0519714 | + | 0.0256984i | |||||
− | 17645.2i | − | 0.850564i | |||||||
5456.17 | − | 14557.0i | 0.262486 | − | 0.700306i | |||||
− | 20862.2i | − | 1.00165i | −0.865548 | − | 0.500826i | ||||
0.865548 | − | 0.500826i | ||||||||
7821.38 | − | 15817.6i | 0.374783 | − | 0.757945i | |||||
−13940.9 | + | 24146.4i | −0.666699 | + | 1.15476i | |||||
−19448.8 | − | 6671.48i | −0.928268 | − | 0.318421i | |||||
−15284.5 | − | 26473.6i | −0.728074 | − | 1.26106i | −0.957696 | − | 0.287782i | ||
0.229622 | − | 0.973280i | ||||||||
−1440.87 | − | 2161.40i | −0.0685002 | − | 0.102755i | |||||
−8519.24 | + | 308.730i | −0.404217 | + | 0.0146485i | |||||
−3076.35 | + | 7382.39i | −0.145679 | + | 0.349588i | |||||
−20086.4 | + | 11596.9i | −0.949313 | + | 0.548086i | |||||
1223.14 | + | 18971.5i | 0.0576942 | + | 0.894867i | |||||
−179.638 | + | 311.143i | −0.00845680 | + | 0.0146476i | |||||
16494.8 | + | 29141.3i | 0.775007 | + | 1.36920i | |||||
−20444.9 | −0.958729 | −0.479365 | − | 0.877616i | ||||||
−0.479365 | + | 0.877616i | ||||||||
−35149.9 | + | 3548.29i | −1.64508 | + | 0.166067i | |||||
57106.6i | 2.66750i | |||||||||
6456.57 | − | 836.015i | 0.301007 | − | 0.0389752i | |||||
−30330.4 | − | 17511.3i | −1.41127 | − | 0.814796i | −0.415760 | − | 0.909474i | ||
−0.995508 | + | 0.0946782i | ||||||||
−29208.5 | + | 1883.14i | −1.35643 | + | 0.0874524i | |||||
75.8551 | + | 131.385i | 0.00351587 | + | 0.00608966i | |||||
3067.68 | + | 15684.4i | 0.141912 | + | 0.725564i | |||||
18994.9 | − | 11904.1i | 0.877013 | − | 0.549625i | |||||
−637.109 | − | 955.706i | −0.0293592 | − | 0.0440408i | |||||
5652.78 | − | 3263.63i | 0.259989 | − | 0.150105i | |||||
−3165.94 | + | 2418.60i | −0.145332 | + | 0.111025i | |||||
−14160.1 | − | 8175.31i | −0.648767 | − | 0.374566i | |||||
−7465.31 | − | 3691.39i | −0.341380 | − | 0.168803i | |||||
14368.7 | 0.655805 | |||||||||
16543.8 | + | 14428.8i | 0.753637 | + | 0.657291i | |||||
−40979.3 | −1.86320 | |||||||||
−11390.2 | − | 5632.13i | −0.516889 | − | 0.255587i | |||||
5306.74 | + | 3063.85i | 0.240362 | + | 0.138773i | 0.615343 | − | 0.788259i | ||
−0.374981 | + | 0.927032i | ||||||||
−81.4940 | + | 62.2568i | −0.00368414 | + | 0.00281447i | |||||
−49998.5 | + | 28866.6i | −2.25601 | + | 1.30251i | |||||
−13938.8 | − | 20909.1i | −0.627745 | − | 0.941660i | |||||
−15932.1 | + | 9984.66i | −0.716156 | + | 0.448816i | |||||
30351.1 | − | 5936.31i | 1.36172 | − | 0.266335i | |||||
−619.004 | − | 1072.15i | −0.0277194 | − | 0.0480114i | |||||
37806.2 | − | 2437.45i | 1.68979 | − | 0.108945i | |||||
29709.8 | + | 17153.0i | 1.32541 | + | 0.765223i | |||||
1202.74 | − | 155.735i | 0.0535554 | − | 0.00693450i | |||||
23892.7i | 1.06189i | 0.847407 | + | 0.530944i | ||||||
−0.847407 | + | 0.530944i | ||||||||
19697.2 | − | 1988.38i | 0.873777 | − | 0.0882055i | |||||
10326.8 | 0.457242 | |||||||||
14969.0 | + | 44882.3i | 0.661544 | + | 1.98354i | |||||
24513.7 | − | 42459.0i | 1.08133 | − | 1.87293i | |||||
960.565 | + | 14898.9i | 0.0422927 | + | 0.655982i | |||||
32960.4 | − | 19029.7i | 1.44850 | − | 0.836292i | |||||
25941.1 | − | 62251.3i | 1.13790 | − | 2.73064i | |||||
36162.0 | − | 1310.48i | 1.58328 | − | 0.0573769i | |||||
2.82220 | + | 4.23348i | 0.000123335 | + | 0.000185010i | |||||
−22514.5 | − | 38996.3i | −0.982092 | − | 1.70103i | |||||
6443.06 | − | 18783.0i | 0.280527 | − | 0.817800i | |||||
−12610.4 | + | 21841.8i | −0.548030 | + | 0.949216i | 0.450379 | + | 0.892837i | ||
−0.998409 | + | 0.0563787i | ||||||||
5365.84 | − | 10851.7i | 0.232761 | − | 0.470726i | |||||
1732.97i | 0.0750345i | 0.999296 | + | 0.0375172i | ||||||
−0.999296 | + | 0.0375172i | ||||||||
−7121.12 | + | 18999.0i | −0.307762 | + | 0.821101i | |||||
18678.1i | 0.805746i | |||||||||
12879.7 | + | 6368.67i | 0.554588 | + | 0.274228i | |||||
5334.84 | − | 9240.22i | 0.229290 | − | 0.397142i | |||||
3947.41 | + | 14987.4i | 0.169347 | + | 0.642972i | |||||
−6004.69 | − | 10400.4i | −0.257133 | − | 0.445367i | |||||
18549.4 | − | 12365.7i | 0.792867 | − | 0.528554i | |||||
1070.72 | − | 2020.14i | 0.0456823 | − | 0.0861896i | |||||
−20494.5 | − | 8540.38i | −0.872805 | − | 0.363711i | |||||
5968.24 | − | 3445.76i | 0.253706 | − | 0.146477i | −0.367754 | − | 0.929923i | ||
0.621460 | + | 0.783446i | ||||||||
−42806.6 | + | 2759.84i | −1.81636 | + | 0.117105i | |||||
−12426.4 | + | 21523.1i | −0.526314 | + | 0.911602i | 0.473216 | + | 0.880946i | ||
−0.999530 | + | 0.0306558i | ||||||||
−27587.2 | + | 24037.6i | −1.16632 | + | 1.01625i | |||||
73313.8 | 3.09389 | |||||||||
−5537.53 | − | 2492.81i | −0.233263 | − | 0.105007i | |||||
− | 40056.0i | − | 1.68426i | −0.539274 | − | 0.842130i | ||||
0.539274 | − | 0.842130i | ||||||||
−31414.4 | + | 4067.62i | −1.31851 | + | 0.170724i | |||||
17833.4 | + | 10296.1i | 0.747143 | + | 0.431363i | 0.824661 | − | 0.565628i | ||
−0.0775180 | + | 0.996991i | ||||||||
−2755.42 | − | 42738.0i | −0.115231 | − | 1.78730i | |||||
−6925.20 | − | 11994.8i | −0.289089 | − | 0.500716i | |||||
597.825 | + | 1469.81i | 0.0249109 | + | 0.0612459i | |||||
5703.71 | + | 8408.25i | 0.237241 | + | 0.349734i | |||||
−2902.03 | + | 1934.60i | −0.120491 | + | 0.0803235i | |||||
−40878.6 | + | 23601.3i | −1.69421 | + | 0.978151i | |||||
7703.25 | + | 10083.5i | 0.318687 | + | 0.417161i | |||||
52.7437 | + | 30.4516i | 0.00217812 | + | 0.00125754i | |||||
−3796.62 | + | 7678.13i | −0.156506 | + | 0.316511i | |||||
−28341.7 | −1.16622 | −0.583112 | − | 0.812392i | ||||||
−0.583112 | + | 0.812392i | ||||||||
−46048.8 | − | 49136.4i | −1.89147 | − | 2.01830i | |||||
5635.70 | 0.231075 | |||||||||
−13154.2 | + | 26602.5i | −0.538389 | + | 1.08882i | |||||
56596.8 | + | 32676.2i | 2.31233 | + | 1.33503i | |||||
29436.5 | − | 22487.8i | 1.20053 | − | 0.917137i | |||||
37235.6 | − | 21498.0i | 1.51591 | − | 0.875212i | |||||
32682.5 | − | 21787.4i | 1.32819 | − | 0.885419i | |||||
−2516.12 | − | 1333.60i | −0.102072 | − | 0.0541003i | |||||
9702.37 | − | 9619.93i | 0.392902 | − | 0.389563i | |||||
−2668.94 | − | 4622.74i | −0.107889 | − | 0.186869i | |||||
1408.91 | + | 21852.9i | 0.0568530 | + | 0.881820i | |||||
−12745.2 | − | 7358.46i | −0.513397 | − | 0.296410i | |||||
−4002.16 | − | 30908.8i | −0.160929 | − | 1.24286i | |||||
15664.3i | 0.628763i | 0.949297 | + | 0.314382i | ||||||
−0.949297 | + | 0.314382i | ||||||||
16979.7 | − | 12230.1i | 0.680367 | − | 0.490052i | |||||
−36197.1 | −1.44786 | |||||||||
−9341.00 | − | 10720.4i | −0.372978 | − | 0.428055i | |||||
−12500.5 | + | 21651.5i | −0.498260 | + | 0.863011i | −0.999998 | − | 0.00200842i | ||
0.501738 | + | 0.865019i | ||||||||
2453.65 | − | 158.193i | 0.0976297 | − | 0.00629441i | |||||
2767.80 | − | 1597.99i | 0.109937 | − | 0.0634724i | −0.444023 | − | 0.896015i | ||
0.553960 | + | 0.832543i | ||||||||
−15713.3 | + | 37707.5i | −0.623045 | + | 1.49513i | |||||
21363.8 | − | 774.208i | 0.845619 | − | 0.0306445i | |||||
−30438.3 | + | 20291.3i | −1.20271 | + | 0.801769i | |||||
1905.67 | + | 3300.72i | 0.0751677 | + | 0.130194i | 0.901159 | − | 0.433488i | ||
−0.825991 | + | 0.563683i | ||||||||
14213.0 | + | 12599.2i | 0.559650 | + | 0.496105i | |||||
764.653 | − | 1324.42i | 0.0300566 | − | 0.0520596i | |||||
39906.5 | + | 19732.7i | 1.56591 | + | 0.774299i | |||||
− | 32991.6i | − | 1.29233i | |||||||
−66.4044 | + | 54.6486i | −0.00259667 | + | 0.00213697i | |||||
15508.4i | 0.605391i | |||||||||
27588.6 | − | 55793.9i | 1.07510 | − | 2.17424i | |||||
1597.84 | − | 2767.54i | 0.0621593 | − | 0.107663i | |||||
3379.45 | − | 9851.85i | 0.131241 | − | 0.382598i | |||||
14067.4 | + | 24365.5i | 0.545372 | + | 0.944612i | |||||
−7209.31 | − | 10814.5i | −0.279014 | − | 0.418540i | |||||
−26362.4 | − | 42065.3i | −1.01853 | − | 1.62522i | |||||
66965.3 | + | 27905.4i | 2.58282 | + | 1.07630i | |||||
29051.2 | − | 16772.7i | 1.11858 | − | 0.645810i | 0.177538 | − | 0.984114i | ||
0.941037 | + | 0.338304i | ||||||||
−819.681 | − | 12713.7i | −0.0315067 | − | 0.488686i | |||||
19892.6 | − | 34455.0i | 0.763324 | − | 1.32212i | |||||
11349.2 | − | 41644.4i | 0.434753 | − | 1.59526i | |||||
27593.4 | 1.05522 | 0.527608 | − | 0.849488i | ||||||
0.527608 | + | 0.849488i | ||||||||
35790.8 | + | 14577.0i | 1.36637 | + | 0.556499i | |||||
6231.84i | 0.237506i | 0.992924 | + | 0.118753i | ||||||
−0.992924 | + | 0.118753i | ||||||||
94.3059 | + | 728.327i | 0.00358807 | + | 0.0277107i | |||||
16133.4 | + | 9314.61i | 0.612788 | + | 0.353793i | |||||
−42406.0 | + | 2734.02i | −1.60797 | + | 0.103669i | |||||
15706.2 | + | 27203.9i | 0.594546 | + | 1.02978i | 0.993611 | + | 0.112862i | ||
−0.399064 | + | 0.916923i | ||||||||
5257.18 | + | 26878.9i | 0.198671 | + | 1.01576i | |||||
1762.96 | − | 1104.85i | 0.0665106 | − | 0.0416823i | |||||
−37955.1 | − | 56935.2i | −1.42950 | − | 2.14435i | |||||
−6470.10 | + | 3735.52i | −0.243273 | + | 0.140454i | |||||
−14606.4 | − | 19119.8i | −0.548274 | − | 0.717689i | |||||
13957.3 | + | 8058.23i | 0.523026 | + | 0.301969i | |||||
−64563.8 | − | 31925.0i | −2.41536 | − | 1.19433i | |||||
−14729.8 | −0.550128 | |||||||||
−23703.3 | + | 12549.0i | −0.883785 | + | 0.467894i | |||||
−2518.41 | −0.0937426 | |||||||||
−3930.99 | − | 1943.77i | −0.146079 | − | 0.0722320i | |||||
−68.8385 | − | 39.7439i | −0.00255383 | − | 0.00147445i | |||||
50563.8 | + | 66187.9i | 1.87273 | + | 2.45140i | |||||
5476.58 | − | 3161.91i | 0.202499 | − | 0.116913i | |||||
7600.45 | + | 11401.2i | 0.280562 | + | 0.420862i | |||||
−1424.45 | − | 39306.9i | −0.0524947 | − | 1.44856i | |||||
−4409.48 | − | 22544.8i | −0.162231 | − | 0.829455i | |||||
37492.6 | + | 64939.1i | 1.37712 | + | 2.38525i | |||||
−20714.3 | + | 1335.50i | −0.759589 | + | 0.0489725i | |||||
−19169.5 | − | 11067.5i | −0.701778 | − | 0.405172i | 0.106231 | − | 0.994341i | ||
−0.808009 | + | 0.589170i | ||||||||
2190.23 | + | 16915.2i | 0.0800499 | + | 0.618228i | |||||
− | 34957.9i | − | 1.27555i | |||||||
−1865.00 | − | 2589.28i | −0.0679385 | − | 0.0943228i | |||||
9718.26 | 0.353436 | 0.176718 | − | 0.984262i | ||||||
0.176718 | + | 0.984262i | ||||||||
−6359.86 | + | 23336.6i | −0.230917 | + | 0.847316i | |||||
−13215.1 | + | 22889.3i | −0.479033 | + | 0.829709i | |||||
2305.68 | + | 35762.3i | 0.0834409 | + | 1.29421i | |||||
−55592.9 | + | 32096.6i | −2.00857 | + | 1.15965i | |||||
−13877.5 | − | 5782.95i | −0.500573 | − | 0.208596i | |||||
4766.10 | − | 8992.27i | 0.171636 | − | 0.323829i | |||||
4876.18 | + | 7314.60i | 0.175314 | + | 0.262982i | |||||
4150.94 | + | 7189.64i | 0.148996 | + | 0.258068i | 0.930857 | − | 0.365385i | ||
−0.781861 | + | 0.623453i | ||||||||
−14344.9 | + | 41818.6i | −0.514062 | + | 1.49861i | |||||
33102.7 | − | 57335.5i | 1.18433 | − | 2.05133i | |||||
−6032.35 | + | 12199.6i | −0.215472 | + | 0.435761i | |||||
− | 1476.86i | − | 0.0526666i | |||||||
6825.82 | + | 40995.1i | 0.243023 | + | 1.45957i | |||||
38697.3i | 1.37552i | |||||||||
13240.2 | + | 6546.90i | 0.469870 | + | 0.232337i | |||||
−32207.9 | + | 55785.7i | −1.14115 | + | 1.97653i | |||||
−18550.1 | − | 16443.9i | −0.656183 | − | 0.581677i | |||||
−8647.88 | − | 14978.6i | −0.305412 | − | 0.528989i | 0.671941 | − | 0.740605i | ||
−0.977353 | + | 0.211615i | ||||||||
219.515 | − | 146.336i | 0.00773996 | − | 0.00515974i | |||||
1147.75 | + | 15814.9i | 0.0404038 | + | 0.556728i | |||||
−10243.1 | + | 24580.6i | −0.360004 | + | 0.863909i | |||||
−3130.28 | + | 1807.27i | −0.109840 | + | 0.0634161i | |||||
34342.2 | − | 2214.12i | 1.20312 | − | 0.0775677i | |||||
9988.82 | − | 17301.1i | 0.349379 | − | 0.605142i | |||||
1835.07 | + | 2106.06i | 0.0640825 | + | 0.0735455i | |||||
−43100.4 | −1.50270 | −0.751350 | − | 0.659904i | ||||||
−0.751350 | + | 0.659904i | ||||||||
49255.0 | + | 22172.9i | 1.71453 | + | 0.771825i | |||||
− | 44929.3i | − | 1.56146i | |||||||
−7039.60 | − | 54367.0i | −0.244262 | − | 1.88644i | |||||
−39293.0 | − | 22685.8i | −1.36123 | − | 0.785904i | −0.371439 | − | 0.928457i | ||
−0.989787 | + | 0.142553i | ||||||||
3101.57 | + | 48107.0i | 0.107277 | + | 1.66392i | |||||
−7017.41 | − | 12154.5i | −0.242331 | − | 0.419730i | |||||
5268.70 | − | 5223.93i | 0.181654 | − | 0.180111i | |||||
−33749.3 | − | 17887.9i | −1.16176 | − | 0.615759i | |||||
20976.8 | − | 13983.9i | 0.720946 | − | 0.480609i | |||||
3279.36 | − | 1893.34i | 0.112529 | − | 0.0649687i | −0.442679 | − | 0.896680i | ||
0.555208 | + | 0.831711i | ||||||||
−23490.9 | + | 17945.7i | −0.804799 | + | 0.614820i | |||||
2977.11 | + | 1718.84i | 0.101835 | + | 0.0587943i | |||||
−15148.0 | + | 30634.8i | −0.517334 | + | 1.04623i | |||||
−23548.1 | −0.802942 | |||||||||
−12088.3 | + | 2822.41i | −0.411540 | + | 0.0960871i | |||||
7167.42 | 0.243626 | 0.121813 | − | 0.992553i | ||||||
0.121813 | + | 0.992553i | ||||||||
10661.4 | − | 21561.3i | 0.361821 | − | 0.731731i | |||||
17018.0 | + | 9825.34i | 0.576638 | + | 0.332922i | |||||
−27801.1 | − | 36391.6i | −0.940536 | − | 1.23116i | |||||
−33266.1 | + | 19206.2i | −1.12366 | + | 0.648744i | |||||
−31879.7 | + | 21252.2i | −1.07514 | + | 0.716730i | |||||
−1244.25 | − | 34334.3i | −0.0418966 | − | 1.15611i | |||||
76212.7 | − | 30998.4i | 2.56224 | − | 1.04216i | |||||
14895.3 | + | 25799.5i | 0.499994 | + | 0.866016i | |||||
83.4989 | + | 1295.11i | 0.00279845 | + | 0.0434055i | |||||
−21678.3 | − | 12516.0i | −0.725413 | − | 0.418817i | |||||
−14629.2 | + | 1894.24i | −0.488772 | + | 0.0632876i | |||||
− | 15996.4i | − | 0.533620i | |||||||
−4275.39 | − | 42352.6i | −0.142400 | − | 1.41064i | |||||
41487.5 | 1.37968 | 0.689838 | − | 0.723963i | ||||||
0.689838 | + | 0.723963i | ||||||||
2623.14 | − | 2285.62i | 0.0870980 | − | 0.0758912i | |||||
−5597.52 | + | 9695.19i | −0.185571 | + | 0.321418i | |||||
39185.9 | − | 2526.41i | 1.29710 | − | 0.0836269i | |||||
24879.2 | − | 14364.0i | 0.822258 | − | 0.474731i | −0.0289362 | − | 0.999581i | ||
0.851195 | + | 0.524850i | ||||||||
−34065.3 | − | 14195.5i | −1.12412 | − | 0.468438i | |||||
−1483.45 | − | 2367.07i | −0.0488768 | − | 0.0779905i | |||||
16652.6 | − | 11101.2i | 0.547826 | − | 0.365201i | |||||
3311.00 | + | 5734.82i | 0.108756 | + | 0.188371i | |||||
6511.62 | + | 24723.1i | 0.213557 | + | 0.810829i | |||||
21126.3 | − | 36591.9i | 0.691803 | − | 1.19824i | −0.279444 | − | 0.960162i | ||
0.971247 | − | 0.238075i | ||||||||
−11251.2 | − | 5563.40i | −0.367866 | − | 0.181900i | |||||
42229.1i | 1.37860i | |||||||||
40378.4 | − | 35759.8i | 1.31616 | − | 1.16562i | |||||
− | 18335.7i | − | 0.596753i | |||||||
−8295.81 | + | 16777.1i | −0.269582 | + | 0.545192i | |||||
−2241.94 | + | 3883.16i | −0.0727435 | + | 0.125995i | −0.900103 | − | 0.435678i | ||
0.827359 | + | 0.561673i | ||||||||
−8474.69 | + | 24705.6i | −0.274556 | + | 0.800393i | |||||
125.988 | + | 218.218i | 0.00407545 | + | 0.00705889i | |||||
−6364.14 | − | 9546.64i | −0.205553 | − | 0.308344i | |||||
28030.2 | + | 44726.5i | 0.903963 | + | 1.44241i | |||||
−440.869 | + | 1057.96i | −0.0141963 | + | 0.0340671i | |||||
−22362.8 | + | 12911.2i | −0.719006 | + | 0.415118i | |||||
−4888.89 | − | 75829.2i | −0.156948 | − | 2.43435i | |||||
−10162.7 | + | 17602.3i | −0.325761 | + | 0.564235i | −0.981666 | − | 0.190609i | ||
0.655905 | + | 0.754844i | ||||||||
−33.2432 | − | 99.6745i | −0.00106398 | − | 0.00319019i | |||||
−31821.6 | −1.01695 | |||||||||
24836.6 | − | 2507.19i | 0.792525 | − | 0.0800033i | |||||
− | 2979.85i | − | 0.0949422i | |||||||
−49963.0 | + | 6469.36i | −1.58950 | + | 0.205813i | |||||
14049.1 | + | 8111.27i | 0.446279 | + | 0.257659i | 0.706258 | − | 0.707955i | ||
−0.259978 | + | 0.965614i | ||||||||
36652.6 | − | 2363.08i | 1.16254 | − | 0.0749519i | |||||
7767.41 | + | 13453.5i | 0.245996 | + | 0.426077i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 56.4.p.a.53.20 | yes | 44 | |
4.3 | odd | 2 | 224.4.t.a.81.21 | 44 | |||
7.2 | even | 3 | inner | 56.4.p.a.37.11 | ✓ | 44 | |
8.3 | odd | 2 | 224.4.t.a.81.2 | 44 | |||
8.5 | even | 2 | inner | 56.4.p.a.53.11 | yes | 44 | |
28.23 | odd | 6 | 224.4.t.a.177.2 | 44 | |||
56.37 | even | 6 | inner | 56.4.p.a.37.20 | yes | 44 | |
56.51 | odd | 6 | 224.4.t.a.177.21 | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.4.p.a.37.11 | ✓ | 44 | 7.2 | even | 3 | inner | |
56.4.p.a.37.20 | yes | 44 | 56.37 | even | 6 | inner | |
56.4.p.a.53.11 | yes | 44 | 8.5 | even | 2 | inner | |
56.4.p.a.53.20 | yes | 44 | 1.1 | even | 1 | trivial | |
224.4.t.a.81.2 | 44 | 8.3 | odd | 2 | |||
224.4.t.a.81.21 | 44 | 4.3 | odd | 2 | |||
224.4.t.a.177.2 | 44 | 28.23 | odd | 6 | |||
224.4.t.a.177.21 | 44 | 56.51 | odd | 6 |