Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [338,4,Mod(191,338)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(338, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("338.191");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 338.c (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 191.6 | ||
Root | of defining polynomial | ||
Character | 338.191 | ||
Dual form | 338.4.c.o.315.6 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.00000 | + | 1.73205i | −0.353553 | + | 0.612372i | |||||
4.07401 | − | 7.05638i | 0.784043 | − | 1.35800i | −0.145527 | − | 0.989354i | ||
0.929569 | − | 0.368647i | ||||||||
−2.00000 | − | 3.46410i | −0.250000 | − | 0.433013i | |||||
−12.6646 | −1.13276 | −0.566379 | − | 0.824145i | ||||||
−0.566379 | + | 0.824145i | ||||||||
8.14801 | + | 14.1128i | 0.554402 | + | 0.960252i | |||||
14.3853 | + | 24.9160i | 0.776732 | + | 1.34534i | 0.933816 | + | 0.357753i | ||
−0.157085 | + | 0.987585i | ||||||||
8.00000 | 0.353553 | |||||||||
−19.6950 | − | 34.1128i | −0.729446 | − | 1.26344i | |||||
12.6646 | − | 21.9357i | 0.400490 | − | 0.693669i | |||||
26.4203 | − | 45.7613i | 0.724183 | − | 1.25432i | −0.235126 | − | 0.971965i | ||
0.959309 | − | 0.282357i | ||||||||
−32.5920 | −0.784043 | |||||||||
0 | 0 | |||||||||
−57.5411 | −1.09846 | |||||||||
−51.5957 | + | 89.3664i | −0.888130 | + | 1.53829i | |||||
−8.00000 | + | 13.8564i | −0.125000 | + | 0.216506i | |||||
−35.5161 | − | 61.5158i | −0.506702 | − | 0.877633i | −0.999970 | − | 0.00775579i | ||
0.493268 | − | 0.869877i | ||||||||
78.7801 | 1.03159 | |||||||||
−32.8843 | − | 56.9572i | −0.397062 | − | 0.687731i | 0.596300 | − | 0.802761i | ||
−0.993362 | + | 0.115030i | ||||||||
25.3292 | + | 43.8715i | 0.283189 | + | 0.490498i | |||||
234.423 | 2.43596 | |||||||||
52.8406 | + | 91.5226i | 0.512075 | + | 0.886940i | |||||
22.2154 | − | 38.4783i | 0.201402 | − | 0.348838i | −0.747579 | − | 0.664173i | ||
0.948980 | + | 0.315335i | ||||||||
32.5920 | − | 56.4511i | 0.277201 | − | 0.480126i | |||||
35.3924 | 0.283139 | |||||||||
0 | 0 | |||||||||
−100.954 | −0.719581 | |||||||||
57.5411 | − | 99.6641i | 0.388366 | − | 0.672669i | |||||
39.2189 | − | 67.9292i | 0.251130 | − | 0.434970i | −0.712707 | − | 0.701462i | ||
0.963837 | + | 0.266492i | ||||||||
−103.191 | − | 178.733i | −0.628003 | − | 1.08773i | |||||
−195.024 | −1.12991 | −0.564957 | − | 0.825120i | ||||||
−0.564957 | + | 0.825120i | ||||||||
−16.0000 | − | 27.7128i | −0.0883883 | − | 0.153093i | |||||
−215.273 | − | 372.863i | −1.13558 | − | 1.96688i | |||||
142.065 | 0.716584 | |||||||||
−182.184 | − | 315.552i | −0.879848 | − | 1.52394i | |||||
−78.7801 | + | 136.451i | −0.364723 | + | 0.631719i | |||||
−116.595 | + | 201.948i | −0.518055 | + | 0.897297i | 0.481725 | + | 0.876322i | ||
−0.999780 | + | 0.0209750i | ||||||||
131.537 | 0.561530 | |||||||||
0 | 0 | |||||||||
−101.317 | −0.400490 | |||||||||
−60.2286 | + | 104.319i | −0.229418 | + | 0.397363i | −0.957636 | − | 0.287983i | ||
0.728218 | + | 0.685345i | ||||||||
−234.423 | + | 406.032i | −0.861243 | + | 1.49172i | |||||
−202.551 | − | 350.829i | −0.718344 | − | 1.24421i | −0.961656 | − | 0.274260i | ||
0.243312 | − | 0.969948i | ||||||||
−211.362 | −0.724183 | |||||||||
249.430 | + | 432.025i | 0.826285 | + | 1.43117i | |||||
44.4309 | + | 76.9566i | 0.142413 | + | 0.246666i | |||||
−400.779 | −1.24382 | −0.621911 | − | 0.783088i | ||||||
−0.621911 | + | 0.783088i | ||||||||
65.1841 | + | 112.902i | 0.196011 | + | 0.339500i | |||||
−242.372 | + | 419.800i | −0.706624 | + | 1.22391i | |||||
−35.3924 | + | 61.3014i | −0.100105 | + | 0.173386i | |||||
−578.772 | −1.58910 | |||||||||
0 | 0 | |||||||||
116.566 | 0.302105 | 0.151052 | − | 0.988526i | ||||||
0.151052 | + | 0.988526i | ||||||||
100.954 | − | 174.858i | 0.254410 | − | 0.440652i | |||||
−334.603 | + | 579.549i | −0.820324 | + | 1.42084i | |||||
115.082 | + | 199.328i | 0.274616 | + | 0.475649i | |||||
−535.883 | −1.24525 | |||||||||
78.4379 | + | 135.858i | 0.177576 | + | 0.307570i | |||||
−390.718 | − | 676.744i | −0.862155 | − | 1.49330i | −0.869844 | − | 0.493326i | ||
0.00768919 | − | 0.999970i | ||||||||
412.765 | 0.888130 | |||||||||
−26.2781 | − | 45.5149i | −0.0551567 | − | 0.0955343i | 0.837129 | − | 0.547006i | ||
−0.892285 | + | 0.451472i | ||||||||
195.024 | − | 337.792i | 0.399485 | − | 0.691929i | |||||
566.637 | − | 981.444i | 1.13317 | − | 1.96270i | |||||
64.0000 | 0.125000 | |||||||||
0 | 0 | |||||||||
861.091 | 1.60595 | |||||||||
402.652 | − | 697.414i | 0.734206 | − | 1.27168i | −0.220864 | − | 0.975305i | ||
0.955071 | − | 0.296378i | ||||||||
−142.065 | + | 246.063i | −0.253351 | + | 0.438817i | |||||
−181.012 | − | 313.521i | −0.315815 | − | 0.547008i | |||||
728.735 | 1.24429 | |||||||||
200.786 | + | 347.771i | 0.335618 | + | 0.581307i | 0.983603 | − | 0.180345i | ||
−0.647985 | + | 0.761653i | ||||||||
−157.560 | − | 272.902i | −0.257898 | − | 0.446692i | |||||
323.057 | 0.517958 | 0.258979 | − | 0.965883i | ||||||
0.258979 | + | 0.965883i | ||||||||
−233.189 | − | 403.895i | −0.366320 | − | 0.634485i | |||||
144.189 | − | 249.742i | 0.221993 | − | 0.384503i | |||||
−131.537 | + | 227.829i | −0.198531 | + | 0.343865i | |||||
1520.25 | 2.24998 | |||||||||
0 | 0 | |||||||||
−794.845 | −1.13199 | −0.565994 | − | 0.824409i | ||||||
−0.565994 | + | 0.824409i | ||||||||
101.317 | − | 175.486i | 0.141595 | − | 0.245249i | |||||
120.477 | − | 208.673i | 0.165264 | − | 0.286245i | |||||
−120.457 | − | 208.638i | −0.162223 | − | 0.280978i | |||||
444.820 | 0.588258 | 0.294129 | − | 0.955766i | ||||||
0.294129 | + | 0.955766i | ||||||||
−468.845 | − | 812.064i | −0.608991 | − | 1.05480i | |||||
449.798 | + | 779.073i | 0.573970 | + | 0.994145i | |||||
810.205 | 1.01589 | |||||||||
−319.556 | − | 553.488i | −0.393793 | − | 0.682070i | |||||
211.362 | − | 366.090i | 0.256037 | − | 0.443470i | |||||
−39.5736 | + | 68.5435i | −0.0471325 | + | 0.0816359i | −0.888629 | − | 0.458626i | ||
0.841497 | + | 0.540262i | ||||||||
−997.720 | −1.16854 | |||||||||
0 | 0 | |||||||||
−177.724 | −0.201402 | |||||||||
−794.529 | + | 1376.16i | −0.885901 | + | 1.53443i | |||||
400.779 | − | 694.169i | 0.439757 | − | 0.761682i | |||||
416.467 | + | 721.341i | 0.449774 | + | 0.779032i | |||||
−260.736 | −0.277201 | |||||||||
−1.94818 | − | 3.37434i | −0.00203925 | − | 0.00353209i | 0.865004 | − | 0.501765i | ||
−0.867043 | + | 0.498233i | ||||||||
−484.744 | − | 839.601i | −0.499658 | − | 0.865434i | |||||
−2081.39 | −2.11301 | |||||||||
−70.7847 | − | 122.603i | −0.0707847 | − | 0.122603i | |||||
517.657 | − | 896.609i | 0.509988 | − | 0.883326i | −0.489945 | − | 0.871754i | ||
0.999933 | − | 0.0115723i | ||||||||
578.772 | − | 1002.46i | 0.561833 | − | 0.973123i | |||||
1248.51 | 1.19436 | 0.597181 | − | 0.802107i | ||||||
0.597181 | + | 0.802107i | ||||||||
0 | 0 | |||||||||
−2968.87 | −2.75935 | |||||||||
−116.566 | + | 201.898i | −0.106810 | + | 0.185001i | |||||
581.006 | − | 1006.33i | 0.524934 | − | 0.909212i | −0.474644 | − | 0.880178i | ||
0.999578 | − | 0.0290348i | ||||||||
201.909 | + | 349.716i | 0.179895 | + | 0.311588i | |||||
−1003.58 | −0.881885 | −0.440943 | − | 0.897535i | ||||||
−0.440943 | + | 0.897535i | ||||||||
−669.205 | − | 1159.10i | −0.580057 | − | 1.00469i | |||||
950.014 | + | 1645.47i | 0.812354 | + | 1.40704i | |||||
−460.329 | −0.388366 | |||||||||
372.206 | + | 644.679i | 0.309860 | + | 0.536693i | 0.978332 | − | 0.207045i | ||
−0.668472 | + | 0.743738i | ||||||||
535.883 | − | 928.176i | 0.440263 | − | 0.762559i | |||||
−281.350 | + | 487.312i | −0.228139 | + | 0.395149i | |||||
−313.751 | −0.251130 | |||||||||
0 | 0 | |||||||||
1562.87 | 1.21927 | |||||||||
1021.82 | − | 1769.84i | 0.787142 | − | 1.36337i | |||||
−412.765 | + | 714.931i | −0.314001 | + | 0.543866i | |||||
−730.563 | − | 1265.37i | −0.548883 | − | 0.950694i | |||||
105.112 | 0.0780034 | |||||||||
490.743 | + | 849.992i | 0.359746 | + | 0.623099i | |||||
390.048 | + | 675.583i | 0.282479 | + | 0.489267i | |||||
1134.85 | 0.812030 | |||||||||
1133.27 | + | 1962.89i | 0.801270 | + | 1.38784i | |||||
−841.759 | + | 1457.97i | −0.588142 | + | 1.01869i | 0.406334 | + | 0.913725i | ||
−0.994476 | + | 0.104967i | ||||||||
−64.0000 | + | 110.851i | −0.0441942 | + | 0.0765466i | |||||
−3300.78 | −2.25285 | |||||||||
0 | 0 | |||||||||
2177.87 | 1.45253 | 0.726266 | − | 0.687414i | ||||||
0.726266 | + | 0.687414i | ||||||||
−861.091 | + | 1491.45i | −0.567791 | + | 0.983442i | |||||
946.098 | − | 1638.69i | 0.616821 | − | 1.06836i | |||||
805.305 | + | 1394.83i | 0.519162 | + | 0.899215i | |||||
1278.55 | 0.815110 | |||||||||
−284.129 | − | 492.126i | −0.179146 | − | 0.310290i | |||||
883.829 | + | 1530.84i | 0.551172 | + | 0.954658i | 0.998190 | + | 0.0601334i | ||
−0.447018 | + | 0.894525i | ||||||||
724.047 | 0.446630 | |||||||||
−502.768 | − | 870.819i | −0.306793 | − | 0.531381i | 0.670866 | − | 0.741579i | ||
−0.977659 | + | 0.210198i | ||||||||
−728.735 | + | 1262.21i | −0.439924 | + | 0.761971i | |||||
−1632.78 | + | 2828.05i | −0.975209 | + | 1.68911i | |||||
−803.143 | −0.474635 | |||||||||
0 | 0 | |||||||||
630.241 | 0.364723 | |||||||||
−496.692 | + | 860.297i | −0.284469 | + | 0.492715i | |||||
−323.057 | + | 559.551i | −0.183126 | + | 0.317183i | |||||
1974.85 | + | 3420.54i | 1.10805 | + | 1.91919i | |||||
932.757 | 0.518055 | |||||||||
68.1369 | + | 118.017i | 0.0374631 | + | 0.0648879i | 0.884149 | − | 0.467205i | ||
−0.846686 | + | 0.532093i | ||||||||
288.377 | + | 499.484i | 0.156973 | + | 0.271885i | |||||
−804.394 | −0.433514 | −0.216757 | − | 0.976226i | ||||||
−0.216757 | + | 0.976226i | ||||||||
−263.074 | − | 455.658i | −0.140383 | − | 0.243150i | |||||
−1398.98 | + | 2423.11i | −0.739223 | + | 1.28037i | |||||
−1520.25 | + | 2633.15i | −0.795490 | + | 1.37783i | |||||
2469.90 | 1.27992 | |||||||||
0 | 0 | |||||||||
3730.07 | 1.89613 | 0.948064 | − | 0.318079i | ||||||
0.948064 | + | 0.318079i | ||||||||
794.845 | − | 1376.71i | 0.400218 | − | 0.693198i | |||||
474.890 | − | 822.534i | 0.236863 | − | 0.410259i | |||||
202.634 | + | 350.972i | 0.100123 | + | 0.173417i | |||||
1278.30 | 0.625740 | |||||||||
240.954 | + | 417.345i | 0.116859 | + | 0.202406i | |||||
−1311.63 | − | 2271.80i | −0.630273 | − | 1.09166i | −0.987496 | − | 0.157646i | ||
0.357223 | − | 0.934019i | ||||||||
481.828 | 0.229418 | |||||||||
2726.35 | + | 4722.17i | 1.28634 | + | 2.22800i | |||||
−444.820 | + | 770.451i | −0.207980 | + | 0.360233i | |||||
639.001 | − | 1106.78i | 0.296092 | − | 0.512847i | −0.679146 | − | 0.734003i | ||
0.975238 | + | 0.221156i | ||||||||
1875.38 | 0.861243 | |||||||||
0 | 0 | |||||||||
−1799.19 | −0.811716 | |||||||||
−1295.31 | + | 2243.55i | −0.579270 | + | 1.00332i | |||||
−810.205 | + | 1403.32i | −0.359172 | + | 0.622104i | |||||
−534.991 | − | 926.631i | −0.235113 | − | 0.407228i | 0.724192 | − | 0.689598i | ||
−0.959306 | + | 0.282370i | ||||||||
1278.22 | 0.556908 | |||||||||
509.129 | + | 881.836i | 0.219923 | + | 0.380918i | |||||
422.725 | + | 732.181i | 0.181046 | + | 0.313581i | |||||
−6367.15 | −2.70387 | |||||||||
−79.1472 | − | 137.087i | −0.0333277 | − | 0.0577253i | |||||
−368.774 | + | 638.736i | −0.153986 | + | 0.266712i | −0.932689 | − | 0.360681i | ||
0.778703 | + | 0.627392i | ||||||||
997.720 | − | 1728.10i | 0.413142 | − | 0.715584i | |||||
−1457.02 | −0.598338 | −0.299169 | − | 0.954200i | ||||||
−0.299169 | + | 0.954200i | ||||||||
0 | 0 | |||||||||
−428.228 | −0.172981 | |||||||||
177.724 | − | 307.826i | 0.0712063 | − | 0.123333i | |||||
1476.62 | − | 2557.59i | 0.586830 | − | 1.01642i | |||||
−1589.06 | − | 2752.33i | −0.626427 | − | 1.08500i | |||||
−3753.39 | −1.46778 | |||||||||
801.558 | + | 1388.34i | 0.310955 | + | 0.538591i | |||||
−1452.26 | − | 2515.38i | −0.558921 | − | 0.968080i | |||||
−1665.87 | −0.636077 | |||||||||
−287.715 | − | 498.337i | −0.108997 | − | 0.188788i | 0.806367 | − | 0.591415i | ||
−0.915364 | + | 0.402627i | ||||||||
260.736 | − | 451.609i | 0.0980053 | − | 0.169750i | |||||
−1219.36 | + | 2112.00i | −0.454775 | + | 0.787694i | −0.998675 | − | 0.0514564i | ||
0.543900 | + | 0.839150i | ||||||||
7.79271 | 0.00288394 | |||||||||
0 | 0 | |||||||||
1938.98 | 0.706624 | |||||||||
−1911.76 | + | 3311.27i | −0.691408 | + | 1.19755i | 0.279969 | + | 0.960009i | ||
−0.971377 | + | 0.237544i | ||||||||
2081.39 | − | 3605.08i | 0.747062 | − | 1.29395i | |||||
1078.71 | + | 1868.37i | 0.384258 | + | 0.665555i | 0.991666 | − | 0.128835i | ||
−0.607408 | + | 0.794390i | ||||||||
283.139 | 0.100105 | |||||||||
−3280.82 | − | 5682.54i | −1.15130 | − | 1.99411i | |||||
1035.31 | + | 1793.22i | 0.360616 | + | 0.624606i | |||||
2256.70 | 0.780243 | |||||||||
1157.54 | + | 2004.92i | 0.397276 | + | 0.688102i | |||||
762.771 | − | 1321.16i | 0.259874 | − | 0.450116i | |||||
−1248.51 | + | 2162.48i | −0.422271 | + | 0.731394i | |||||
−1750.14 | −0.587647 | |||||||||
0 | 0 | |||||||||
−3475.25 | −1.15018 | |||||||||
2968.87 | − | 5142.24i | 0.975579 | − | 1.68975i | |||||
−1681.93 | + | 2913.19i | −0.548762 | + | 0.950484i | 0.449598 | + | 0.893231i | ||
−0.998360 | + | 0.0572525i | ||||||||
−233.132 | − | 403.796i | −0.0755262 | − | 0.130815i | |||||
3272.01 | 1.05255 | |||||||||
1162.01 | + | 2012.66i | 0.371184 | + | 0.642910i | |||||
2565.23 | + | 4443.11i | 0.813709 | + | 1.40939i | |||||
−807.635 | −0.254410 | |||||||||
−2805.47 | − | 4859.22i | −0.877640 | − | 1.52012i | |||||
1003.58 | − | 1738.25i | 0.311794 | − | 0.540042i | |||||
1316.13 | − | 2279.61i | 0.406101 | − | 0.703388i | |||||
2676.82 | 0.820324 | |||||||||
0 | 0 | |||||||||
−3800.06 | −1.14884 | |||||||||
1646.95 | − | 2852.61i | 0.494566 | − | 0.856613i | −0.505415 | − | 0.862877i | ||
0.999980 | + | 0.00626360i | ||||||||
460.329 | − | 797.313i | 0.137308 | − | 0.237824i | |||||
−697.054 | − | 1207.33i | −0.206534 | − | 0.357728i | |||||
−1488.82 | −0.438208 | |||||||||
−271.743 | − | 470.673i | −0.0794547 | − | 0.137620i | 0.823560 | − | 0.567229i | ||
−0.903015 | + | 0.429609i | ||||||||
1071.77 | + | 1856.35i | 0.311313 | + | 0.539210i | |||||
3071.66 | 0.886379 | 0.443189 | − | 0.896428i | ||||||
0.443189 | + | 0.896428i | ||||||||
−562.700 | − | 974.625i | −0.161319 | − | 0.279412i | |||||
6193.51 | − | 10727.5i | 1.76408 | − | 3.05548i | |||||
313.751 | − | 543.433i | 0.0887879 | − | 0.153785i | |||||
3383.06 | 0.951208 | 0.475604 | − | 0.879660i | ||||||
0.475604 | + | 0.879660i | ||||||||
0 | 0 | |||||||||
5075.71 | 1.40895 | |||||||||
−1562.87 | + | 2706.97i | −0.431078 | + | 0.746648i | |||||
−3238.20 | + | 5608.73i | −0.887527 | + | 1.53724i | |||||
2043.64 | + | 3539.68i | 0.556594 | + | 0.964049i | |||||
698.550 | 0.189060 | 0.0945302 | − | 0.995522i | ||||||
0.0945302 | + | 0.995522i | ||||||||
−825.531 | − | 1429.86i | −0.222032 | − | 0.384572i | |||||
−1857.72 | − | 3217.67i | −0.496541 | − | 0.860034i | 0.503451 | − | 0.864024i | ||
−0.999992 | + | 0.00398962i | ||||||||
2922.25 | 0.776238 | |||||||||
−2344.53 | − | 4060.85i | −0.618938 | − | 1.07203i | |||||
−105.112 | + | 182.060i | −0.0275784 | + | 0.0477671i | |||||
3069.55 | − | 5316.61i | 0.800433 | − | 1.38639i | |||||
−1962.97 | −0.508758 | |||||||||
0 | 0 | |||||||||
−1560.19 | −0.399485 | |||||||||
1812.20 | − | 3138.82i | 0.461219 | − | 0.798855i | |||||
−1134.85 | + | 1965.61i | −0.287096 | + | 0.497265i | |||||
1926.42 | + | 3336.65i | 0.484440 | + | 0.839074i | 0.999840 | − | 0.0178750i | ||
−0.515400 | + | 0.856950i | ||||||||
−4533.09 | −1.13317 | |||||||||
−1173.88 | − | 2033.21i | −0.291704 | − | 0.505245i | |||||
−1683.52 | − | 2915.94i | −0.415879 | − | 0.720324i | |||||
7329.92 | 1.80007 | |||||||||
−128.000 | − | 221.703i | −0.0312500 | − | 0.0541266i | |||||
−2288.73 | + | 3964.19i | −0.555513 | + | 0.962177i | 0.442350 | + | 0.896842i | ||
−0.997863 | + | 0.0653345i | ||||||||
3300.78 | − | 5717.12i | 0.796502 | − | 1.37958i | |||||
−6708.98 | −1.60956 | |||||||||
0 | 0 | |||||||||
−3089.67 | −0.732743 | |||||||||
−2177.87 | + | 3772.19i | −0.513547 | + | 0.889490i | |||||
2411.71 | − | 4177.21i | 0.565447 | − | 0.979383i | −0.431561 | − | 0.902084i | ||
0.997008 | − | 0.0772990i | ||||||||
−1722.18 | − | 2982.91i | −0.401489 | − | 0.695399i | |||||
−1476.26 | −0.342212 | |||||||||
1892.20 | + | 3277.38i | 0.436158 | + | 0.755448i | |||||
322.446 | + | 558.493i | 0.0739078 | + | 0.128012i | |||||
−3221.22 | −0.734206 | |||||||||
982.898 | + | 1702.43i | 0.222782 | + | 0.385870i | 0.955652 | − | 0.294499i | ||
−0.732870 | + | 0.680369i | ||||||||
−1278.55 | + | 2214.51i | −0.288185 | + | 0.499151i | |||||
2207.96 | − | 3824.29i | 0.494922 | − | 0.857230i | −0.505061 | − | 0.863084i | ||
0.999983 | + | 0.00585389i | ||||||||
1136.52 | 0.253351 | |||||||||
0 | 0 | |||||||||
−3535.32 | −0.779475 | |||||||||
935.076 | − | 1619.60i | 0.205044 | − | 0.355147i | |||||
−724.047 | + | 1254.09i | −0.157908 | + | 0.273504i | |||||
−1806.11 | − | 3128.28i | −0.391765 | − | 0.678557i | 0.600917 | − | 0.799311i | ||
−0.992682 | + | 0.120754i | ||||||||
2011.07 | 0.433871 | |||||||||
3841.01 | + | 6652.82i | 0.824212 | + | 1.42758i | |||||
−1457.47 | − | 2524.41i | −0.311073 | − | 0.538795i | |||||
4095.02 | 0.869353 | 0.434676 | − | 0.900587i | ||||||
0.434676 | + | 0.900587i | ||||||||
−3265.55 | − | 5656.10i | −0.689577 | − | 1.19438i | |||||
−3363.10 | + | 5825.05i | −0.706415 | + | 1.22355i | 0.259764 | + | 0.965672i | ||
−0.966179 | + | 0.257874i | ||||||||
803.143 | − | 1391.08i | 0.167809 | − | 0.290654i | |||||
6786.75 | 1.41057 | |||||||||
0 | 0 | |||||||||
−3465.62 | −0.712783 | |||||||||
−630.241 | + | 1091.61i | −0.128949 | + | 0.223346i | |||||
−66.2919 | + | 114.821i | −0.0134932 | + | 0.0233709i | |||||
−993.385 | − | 1720.59i | −0.201150 | − | 0.348402i | |||||
−31.7475 | −0.00639544 | |||||||||
−646.114 | − | 1119.10i | −0.129490 | − | 0.224282i | |||||
−2251.72 | − | 3900.10i | −0.448966 | − | 0.777632i | 0.549353 | − | 0.835590i | ||
−0.998319 | + | 0.0579584i | ||||||||
−7899.40 | −1.56701 | |||||||||
4948.29 | + | 8570.69i | 0.976613 | + | 1.69154i | |||||
−932.757 | + | 1615.58i | −0.183160 | + | 0.317243i | |||||
−2667.24 | + | 4619.80i | −0.521109 | + | 0.902586i | |||||
−272.548 | −0.0529808 | |||||||||
0 | 0 | |||||||||
−1153.51 | −0.221993 | |||||||||
5827.51 | − | 10093.5i | 1.11592 | − | 1.93283i | |||||
804.394 | − | 1393.25i | 0.153270 | − | 0.265472i | |||||
−4217.88 | − | 7305.58i | −0.799705 | − | 1.38513i | |||||
1052.30 | 0.198531 | |||||||||
332.801 | + | 576.429i | 0.0624792 | + | 0.108217i | |||||
−2797.97 | − | 4846.22i | −0.522709 | − | 0.905359i | |||||
−1934.75 | −0.359681 | −0.179841 | − | 0.983696i | ||||||
−0.179841 | + | 0.983696i | ||||||||
−3040.50 | − | 5266.31i | −0.562496 | − | 0.974272i | |||||
5086.43 | − | 8809.96i | 0.936431 | − | 1.62195i | |||||
−2469.90 | + | 4278.00i | −0.452520 | + | 0.783787i | |||||
−2655.72 | −0.484219 | −0.242110 | − | 0.970249i | ||||||
−0.242110 | + | 0.970249i | ||||||||
0 | 0 | |||||||||
6102.36 | 1.10200 | 0.550999 | − | 0.834506i | ||||||
0.550999 | + | 0.834506i | ||||||||
−3730.07 | + | 6460.67i | −0.670383 | + | 1.16114i | |||||
−7176.23 | + | 12429.6i | −1.28360 | + | 2.22327i | |||||
1589.69 | + | 2753.42i | 0.282997 | + | 0.490165i | |||||
1382.99 | 0.245037 | 0.122518 | − | 0.992466i | ||||||
0.122518 | + | 0.992466i | ||||||||
949.781 | + | 1645.07i | 0.167488 | + | 0.290097i | |||||
−2072.35 | − | 3589.42i | −0.363728 | − | 0.629996i | |||||
−810.535 | −0.141595 | |||||||||
−4734.04 | − | 8199.60i | −0.823141 | − | 1.42572i | |||||
−1278.30 | + | 2214.08i | −0.221233 | + | 0.383186i | |||||
−2335.85 | + | 4045.80i | −0.402384 | + | 0.696949i | |||||
−963.817 | −0.165264 | |||||||||
0 | 0 | |||||||||
5246.50 | 0.891340 | |||||||||
−4088.59 | + | 7081.64i | −0.691436 | + | 1.19760i | |||||
−481.828 | + | 834.551i | −0.0811114 | + | 0.140489i | |||||
−5765.31 | − | 9985.81i | −0.966115 | − | 1.67336i | |||||
−10905.4 | −1.81916 | |||||||||
5003.33 | + | 8666.02i | 0.830839 | + | 1.43906i | 0.897374 | + | 0.441271i | ||
−0.0665347 | + | 0.997784i | ||||||||
−889.641 | − | 1540.90i | −0.147064 | − | 0.254723i | |||||
9185.34 | 1.51157 | |||||||||
1278.00 | + | 2213.57i | 0.209369 | + | 0.362637i | |||||
−5099.44 | + | 8832.48i | −0.831678 | + | 1.44051i | |||||
−1875.38 | + | 3248.26i | −0.304495 | + | 0.527401i | |||||
11057.1 | 1.78730 | 0.893649 | − | 0.448767i | ||||||
0.893649 | + | 0.448767i | ||||||||
0 | 0 | |||||||||
6065.47 | 0.971773 | |||||||||
1799.19 | − | 3116.29i | 0.286985 | − | 0.497073i | |||||
−5152.59 | + | 8924.55i | −0.818266 | + | 1.41728i | |||||
−2590.63 | − | 4487.10i | −0.409606 | − | 0.709458i | |||||
−4078.05 | −0.641964 | |||||||||
−1620.41 | − | 2806.63i | −0.253973 | − | 0.439894i | |||||
2292.44 | + | 3970.63i | 0.357742 | + | 0.619627i | |||||
2139.96 | 0.332500 | |||||||||
4316.98 | + | 7477.22i | 0.667860 | + | 1.15677i | 0.978501 | + | 0.206240i | ||
−0.310642 | + | 0.950527i | ||||||||
−1278.22 | + | 2213.95i | −0.196897 | + | 0.341035i | |||||
−4684.53 | + | 8113.84i | −0.718502 | + | 1.24448i | 0.243092 | + | 0.970003i | ||
−0.961593 | + | 0.274478i | ||||||||
−2036.51 | −0.311018 | |||||||||
0 | 0 | |||||||||
−1690.90 | −0.256037 | |||||||||
2508.93 | − | 4345.59i | 0.378291 | − | 0.655220i | −0.612522 | − | 0.790453i | ||
0.990814 | + | 0.135233i | ||||||||
6367.15 | − | 11028.2i | 0.955961 | − | 1.65577i | |||||
−2542.87 | − | 4404.38i | −0.380174 | − | 0.658480i | |||||
316.589 | 0.0471325 | |||||||||
−8325.79 | − | 14420.7i | −1.23431 | − | 2.13788i | |||||
−737.549 | − | 1277.47i | −0.108885 | − | 0.188594i | |||||
7268.33 | 1.06855 | 0.534273 | − | 0.845312i | ||||||
0.534273 | + | 0.845312i | ||||||||
1995.44 | + | 3456.20i | 0.292136 | + | 0.505994i | |||||
1266.75 | − | 2194.07i | 0.184684 | − | 0.319882i | |||||
1457.02 | − | 2523.63i | 0.211545 | − | 0.366406i | |||||
−11905.3 | −1.72139 | |||||||||
0 | 0 | |||||||||
−4091.39 | −0.586721 | |||||||||
428.228 | − | 741.712i | 0.0611580 | − | 0.105929i | |||||
−5943.72 | + | 10294.8i | −0.845394 | + | 1.46427i | 0.0398848 | + | 0.999204i | ||
−0.885279 | + | 0.465061i | ||||||||
355.447 | + | 615.652i | 0.0503504 | + | 0.0872095i | |||||
4744.81 | 0.669391 | |||||||||
2953.25 | + | 5115.18i | 0.414952 | + | 0.718718i | |||||
1676.83 | + | 2904.36i | 0.234654 | + | 0.406433i | |||||
6356.23 | 0.885901 | |||||||||
7117.28 | + | 12327.5i | 0.987986 | + | 1.71124i | 0.627830 | + | 0.778350i | ||
0.360156 | + | 0.932892i | ||||||||
3753.39 | − | 6501.06i | 0.518939 | − | 0.898828i | |||||
4623.37 | − | 8007.91i | 0.636666 | − | 1.10274i | |||||
−3206.23 | −0.439757 | |||||||||
0 | 0 | |||||||||
5809.03 | 0.790434 | |||||||||
−3960.04 | + | 6859.00i | −0.536712 | + | 0.929612i | 0.462366 | + | 0.886689i | ||
−0.999078 | + | 0.0429233i | ||||||||
1665.87 | − | 2885.37i | 0.224887 | − | 0.389516i | |||||
6858.66 | + | 11879.5i | 0.922257 | + | 1.59740i | |||||
1150.86 | 0.154144 | |||||||||
−5313.47 | − | 9203.20i | −0.708892 | − | 1.22784i | −0.965268 | − | 0.261260i | ||
0.256376 | − | 0.966577i | ||||||||
521.473 | + | 903.217i | 0.0693002 | + | 0.120032i | |||||
−19253.4 | −2.54869 | |||||||||
−2438.72 | − | 4223.99i | −0.321575 | − | 0.556983i | |||||
−7978.51 | + | 13819.2i | −1.04799 | + | 1.81516i | |||||
−7.79271 | + | 13.4974i | −0.00101963 | + | 0.00176604i | |||||
−10183.7 | −1.32733 | −0.663667 | − | 0.748028i | ||||||
−0.663667 | + | 0.748028i | ||||||||
0 | 0 | |||||||||
−3156.03 | −0.408202 | |||||||||
−1938.98 | + | 3358.40i | −0.249829 | + | 0.432717i | |||||
8872.66 | − | 15367.9i | 1.13885 | − | 1.97254i | |||||
−3823.52 | − | 6622.53i | −0.488899 | − | 0.846798i | |||||
10066.4 | 1.28227 | |||||||||
4162.79 | + | 7210.16i | 0.528252 | + | 0.914960i | |||||
−1826.03 | − | 3162.78i | −0.230846 | − | 0.399837i | 0.727211 | − | 0.686414i | ||
−0.958057 | + | 0.286577i | ||||||||
−4314.82 | −0.543424 | |||||||||
−7708.82 | − | 13352.1i | −0.967227 | − | 1.67529i | |||||
−283.139 | + | 490.411i | −0.0353924 | + | 0.0613014i | |||||
4442.35 | − | 7694.37i | 0.553217 | − | 0.958200i | −0.444823 | − | 0.895619i | ||
0.998040 | − | 0.0625817i | ||||||||
13123.3 | 1.62818 | |||||||||
0 | 0 | |||||||||
−4141.26 | −0.509988 | |||||||||
−1525.80 | + | 2642.76i | −0.187204 | + | 0.324246i | |||||
−2256.70 | + | 3908.72i | −0.275857 | + | 0.477799i | |||||
6160.93 | + | 10671.0i | 0.750334 | + | 1.29962i | |||||
−4630.17 | −0.561833 | |||||||||
5733.99 | + | 9931.55i | 0.693221 | + | 1.20069i | 0.970777 | + | 0.239984i | ||
−0.277556 | + | 0.960709i | ||||||||
1525.54 | + | 2642.32i | 0.183759 | + | 0.318280i | |||||
14402.9 | 1.72857 | |||||||||
−2497.02 | − | 4324.96i | −0.298590 | − | 0.517174i | |||||
11241.2 | − | 19470.3i | 1.33933 | − | 2.31978i | |||||
1750.14 | − | 3031.32i | 0.207764 | − | 0.359859i | |||||
−5633.48 | −0.666353 | |||||||||
0 | 0 | |||||||||
−8193.11 | −0.962155 | |||||||||
3475.25 | − | 6019.31i | 0.406651 | − | 0.704340i | |||||
7957.04 | − | 13782.0i | 0.927749 | − | 1.60691i | 0.140669 | − | 0.990057i | ||
0.787080 | − | 0.616851i | ||||||||
5937.74 | + | 10284.5i | 0.689839 | + | 1.19484i | |||||
−3091.64 | −0.357904 | −0.178952 | − | 0.983858i | ||||||
−0.178952 | + | 0.983858i | ||||||||
−3363.86 | − | 5826.37i | −0.388033 | − | 0.672093i | |||||
7893.35 | + | 13671.7i | 0.907300 | + | 1.57149i | |||||
932.528 | 0.106810 | |||||||||
−1257.00 | − | 2177.19i | −0.143467 | − | 0.248492i | |||||
−3272.01 | + | 5667.28i | −0.372134 | + | 0.644556i | |||||
756.034 | − | 1309.49i | 0.0856840 | − | 0.148409i | |||||
−4648.05 | −0.524934 | |||||||||
0 | 0 | |||||||||
−10260.9 | −1.15076 | |||||||||
−2498.35 | + | 4327.26i | −0.279214 | + | 0.483612i | −0.971190 | − | 0.238308i | ||
0.691976 | + | 0.721921i | ||||||||
807.635 | − | 1398.87i | 0.0899476 | − | 0.155794i | |||||
920.918 | + | 1595.08i | 0.102209 | + | 0.177031i | 0.912594 | − | 0.408866i | ||
−0.810386 | + | 0.585897i | ||||||||
11221.9 | 1.24117 | |||||||||
4047.06 | + | 7009.71i | 0.446072 | + | 0.772620i | |||||
2007.16 | + | 3476.50i | 0.220471 | + | 0.381868i | |||||
−2922.16 | −0.319876 | |||||||||
2632.27 | + | 4559.23i | 0.287157 | + | 0.497370i | |||||
−4981.61 | + | 8628.40i | −0.541593 | + | 0.938066i | 0.457220 | + | 0.889354i | ||
−0.998813 | + | 0.0487128i | ||||||||
−2676.82 | + | 4636.39i | −0.290028 | + | 0.502344i | |||||
19094.1 | 2.06177 | |||||||||
0 | 0 | |||||||||
−8480.02 | −0.909476 | −0.454738 | − | 0.890625i | ||||||
−0.454738 | + | 0.890625i | ||||||||
3800.06 | − | 6581.89i | 0.406177 | − | 0.703519i | |||||
501.184 | − | 868.076i | 0.0533897 | − | 0.0924736i | |||||
3293.91 | + | 5705.21i | 0.349711 | + | 0.605717i | |||||
1110.36 | 0.117491 | |||||||||
920.657 | + | 1594.63i | 0.0970914 | + | 0.168167i | |||||
−1725.34 | − | 2988.37i | −0.181344 | − | 0.314098i | 0.760994 | − | 0.648759i | ||
−0.942339 | + | 0.334661i | ||||||||
2788.21 | 0.292084 | |||||||||
3182.51 | + | 5512.27i | 0.332281 | + | 0.575527i | |||||
1488.82 | − | 2578.72i | 0.154930 | − | 0.268347i | |||||
−3277.10 | + | 5676.11i | −0.339893 | + | 0.588713i | |||||
1086.97 | 0.112366 | |||||||||
0 | 0 | |||||||||
−4287.06 | −0.440263 | |||||||||
−3270.61 | + | 5664.87i | −0.334776 | + | 0.579850i | −0.983442 | − | 0.181224i | ||
0.648666 | + | 0.761074i | ||||||||
−3071.66 | + | 5320.27i | −0.313382 | + | 0.542794i | |||||
3585.51 | + | 6210.29i | 0.364613 | + | 0.631528i | |||||
2250.80 | 0.228139 | |||||||||
−7306.92 | − | 12656.0i | −0.738215 | − | 1.27863i | −0.953298 | − | 0.302030i | ||
0.215083 | − | 0.976596i | ||||||||
12387.0 | + | 21455.0i | 1.24740 | + | 2.16055i | |||||
−3680.01 | −0.369383 | −0.184692 | − | 0.982797i | ||||||
−0.184692 | + | 0.982797i | ||||||||
627.503 | + | 1086.87i | 0.0627825 | + | 0.108743i | |||||
10062.4 | − | 17428.6i | 1.00351 | − | 1.73813i | |||||
−3383.06 | + | 5859.63i | −0.336303 | + | 0.582494i | |||||
457.544 | 0.0453375 | 0.0226687 | − | 0.999743i | ||||||
0.0226687 | + | 0.999743i | ||||||||
0 | 0 | |||||||||
23169.1 | 2.28112 | |||||||||
−5075.71 | + | 8791.39i | −0.498138 | + | 0.862801i | |||||
15196.3 | − | 26320.8i | 1.48665 | − | 2.57495i | |||||
−3125.74 | − | 5413.95i | −0.304818 | − | 0.527960i | |||||
−21405.9 | −2.08085 | |||||||||
−6476.40 | − | 11217.5i | −0.627576 | − | 1.08699i | |||||
−1163.85 | − | 2015.85i | −0.112424 | − | 0.194723i | |||||
−8174.55 | −0.787142 | |||||||||
−2295.77 | − | 3976.39i | −0.220369 | − | 0.381691i | |||||
−698.550 | + | 1209.92i | −0.0668429 | + | 0.115775i | |||||
4885.47 | − | 8461.88i | 0.466018 | − | 0.807167i | −0.533229 | − | 0.845971i | ||
0.999247 | + | 0.0388039i | ||||||||
3302.12 | 0.314001 | |||||||||
0 | 0 | |||||||||
7430.89 | 0.702215 | |||||||||
5207.80 | − | 9020.18i | 0.490607 | − | 0.849756i | |||||
−2922.25 | + | 5061.49i | −0.274442 | + | 0.475347i | |||||
24.6729 | + | 42.7347i | 0.00230998 | + | 0.00400100i | |||||
9378.13 | 0.875310 | |||||||||
−10125.1 | − | 17537.2i | −0.942118 | − | 1.63180i | −0.761421 | − | 0.648258i | ||
−0.180698 | − | 0.983539i | ||||||||
−210.225 | − | 364.120i | −0.0195009 | − | 0.0337765i | |||||
−21374.3 | −1.97664 | |||||||||
6139.09 | + | 10633.2i | 0.565992 | + | 0.980326i | |||||
8639.72 | − | 14964.4i | 0.794104 | − | 1.37543i | −0.129303 | − | 0.991605i | ||
0.923407 | − | 0.383823i | ||||||||
1962.97 | − | 3399.97i | 0.179873 | − | 0.311549i | |||||
−5571.62 | −0.508992 | |||||||||
0 | 0 | |||||||||
26360.0 | 2.39353 | |||||||||
1560.19 | − | 2702.33i | 0.141239 | − | 0.244634i | |||||
−5776.71 | + | 10005.6i | −0.521370 | + | 0.903039i | |||||
3624.40 | + | 6277.65i | 0.326131 | + | 0.564876i | |||||
16994.7 | 1.52462 | 0.762310 | − | 0.647212i | ||||||
0.762310 | + | 0.647212i | ||||||||
−2269.69 | − | 3931.22i | −0.203007 | − | 0.351619i | |||||
−5206.59 | − | 9018.08i | −0.464298 | − | 0.804188i | |||||
−7705.67 | −0.685101 | |||||||||
−1550.97 | − | 2686.35i | −0.137483 | − | 0.238128i | 0.789060 | − | 0.614316i | ||
−0.926543 | + | 0.376188i | ||||||||
4533.09 | − | 7851.55i | 0.400635 | − | 0.693920i | |||||
−6555.93 | + | 11355.2i | −0.577693 | + | 1.00059i | |||||
4695.51 | 0.412531 | |||||||||
0 | 0 | |||||||||
6734.07 | 0.588142 | |||||||||
9973.82 | − | 17275.2i | 0.868530 | − | 1.50434i | 0.00503052 | − | 0.999987i | ||
0.863499 | − | 0.504350i | ||||||||
−7329.92 | + | 12695.8i | −0.636420 | + | 1.10231i | |||||
4647.26 | + | 8049.29i | 0.402314 | + | 0.696829i | |||||
512.000 | 0.0441942 | |||||||||
3319.81 | + | 5750.09i | 0.285718 | + | 0.494878i | |||||
−4577.45 | − | 7928.38i | −0.392807 | − | 0.680362i | |||||
−15811.9 | −1.35292 | |||||||||
6601.56 | + | 11434.2i | 0.563212 | + | 0.975512i | |||||
−10588.7 | + | 18340.2i | −0.900755 | + | 1.56015i | |||||
6708.98 | − | 11620.3i | 0.569065 | − | 0.985649i | |||||
−8718.22 | −0.737355 | |||||||||
0 | 0 | |||||||||
−18106.1 | −1.52254 | −0.761270 | − | 0.648436i | ||||||
−0.761270 | + | 0.648436i | ||||||||
3089.67 | − | 5351.47i | 0.259064 | − | 0.448712i | |||||
427.606 | − | 740.635i | 0.0357512 | − | 0.0619229i | −0.847596 | − | 0.530642i | ||
0.883347 | + | 0.468719i | ||||||||
−4355.74 | − | 7544.37i | −0.363133 | − | 0.628964i | |||||
8296.77 | 0.689716 | |||||||||
4823.42 | + | 8354.42i | 0.399831 | + | 0.692528i | |||||
6926.50 | + | 11997.1i | 0.572530 | + | 0.991651i | |||||
6888.73 | 0.567791 | |||||||||
5096.45 | + | 8827.31i | 0.418875 | + | 0.725512i | |||||
1476.26 | − | 2556.96i | 0.120990 | − | 0.209561i | |||||
−15390.4 | + | 26657.0i | −1.25779 | + | 2.17856i | |||||
−7568.79 | −0.616821 | |||||||||
0 | 0 | |||||||||
−1289.78 | −0.104521 | |||||||||
−7358.21 | + | 12744.8i | −0.594623 | + | 1.02992i | |||||
3221.22 | − | 5579.32i | 0.259581 | − | 0.449608i | |||||
3004.78 | + | 5204.43i | 0.241463 | + | 0.418226i | |||||
−3931.59 | −0.315061 | |||||||||
12807.1 | + | 22182.5i | 1.02345 | + | 1.77267i | |||||
−2557.10 | − | 4429.02i | −0.203778 | − | 0.352953i | |||||
−12326.5 | −0.979592 | −0.489796 | − | 0.871837i | ||||||
−0.489796 | + | 0.871837i | ||||||||
4415.91 | + | 7648.59i | 0.349963 | + | 0.606153i | |||||
−5935.90 | + | 10281.3i | −0.469123 | + | 0.812544i | |||||
−1136.52 | + | 1968.50i | −0.0895730 | + | 0.155145i | |||||
12709.9 | 0.998962 | |||||||||
0 | 0 | |||||||||
7326.20 | 0.572661 | 0.286330 | − | 0.958131i | ||||||
0.286330 | + | 0.958131i | ||||||||
3535.32 | − | 6123.35i | 0.275586 | − | 0.477329i | |||||
−1035.09 | + | 1792.84i | −0.0804677 | + | 0.139374i | |||||
1870.15 | + | 3239.20i | 0.144988 | + | 0.251127i | |||||
−5158.75 | −0.398857 | |||||||||
−1448.09 | − | 2508.17i | −0.111658 | − | 0.193396i | |||||
−11434.1 | − | 19804.4i | −0.879251 | − | 1.52291i | |||||
7224.46 | 0.554039 | |||||||||
−12031.6 | − | 20839.3i | −0.920200 | − | 1.59383i | |||||
−2011.07 | + | 3483.28i | −0.153396 | + | 0.265690i | |||||
−291.685 | + | 505.212i | −0.0221886 | + | 0.0384318i | −0.876907 | − | 0.480661i | ||
0.854718 | + | 0.519093i | ||||||||
−15364.0 | −1.16561 | |||||||||
0 | 0 | |||||||||
5829.88 | 0.439924 | |||||||||
−15291.3 | + | 26485.3i | −1.15080 | + | 1.99325i | |||||
−4095.02 | + | 7092.78i | −0.307363 | + | 0.532368i | |||||
−2719.97 | − | 4711.13i | −0.203611 | − | 0.352665i | 0.746078 | − | 0.665858i | ||
−0.949689 | + | 0.313193i | ||||||||
13062.2 | 0.975209 | |||||||||
−4713.84 | − | 8164.61i | −0.350996 | − | 0.607943i | |||||
−6726.19 | − | 11650.1i | −0.499511 | − | 0.865178i | |||||
6932.39 | 0.513462 | |||||||||
1606.29 | + | 2782.17i | 0.118659 | + | 0.205523i | |||||
−9071.62 | + | 15712.5i | −0.668369 | + | 1.15765i | 0.309991 | + | 0.950739i | ||
−0.978360 | + | 0.206910i | ||||||||
−6786.75 | + | 11755.0i | −0.498712 | + | 0.863794i | |||||
12916.3 | 0.946634 | 0.473317 | − | 0.880892i | ||||||
0.473317 | + | 0.880892i | ||||||||
0 | 0 | |||||||||
−4688.61 | −0.341832 | |||||||||
3465.62 | − | 6002.62i | 0.252007 | − | 0.436489i | |||||
786.257 | − | 1361.84i | 0.0570247 | − | 0.0987696i | |||||
−1260.48 | − | 2183.22i | −0.0911807 | − | 0.157930i | |||||
1345.12 | 0.0970504 | 0.0485252 | − | 0.998822i | ||||||
0.0485252 | + | 0.998822i | ||||||||
−132.584 | − | 229.642i | −0.00954111 | − | 0.0165257i | |||||
9935.37 | + | 17208.6i | 0.713126 | + | 1.23517i | |||||
3973.54 | 0.284469 | |||||||||
6398.86 | + | 11083.2i | 0.456918 | + | 0.791405i | |||||
31.7475 | − | 54.9883i | 0.00226113 | − | 0.00391639i | |||||
3079.71 | − | 5334.21i | 0.218779 | − | 0.378937i | |||||
2584.45 | 0.183126 | |||||||||
0 | 0 | |||||||||
9006.89 | 0.634934 | |||||||||
4968.49 | − | 8605.67i | 0.349355 | − | 0.605100i | −0.636780 | − | 0.771045i | ||
0.986135 | + | 0.165945i | ||||||||
7899.40 | − | 13682.2i | 0.554023 | − | 0.959596i | |||||
6413.23 | + | 11108.0i | 0.448646 | + | 0.777077i | |||||
−19793.2 | −1.38114 | |||||||||
15577.0 | + | 26980.2i | 1.08419 | + | 1.87787i | |||||
−1865.51 | − | 3231.16i | −0.129514 | − | 0.224324i | |||||
−15740.8 | −1.09005 | −0.545024 | − | 0.838420i | ||||||
−0.545024 | + | 0.838420i | ||||||||
−5334.49 | − | 9239.61i | −0.368479 | − | 0.638225i | |||||
−12940.9 | + | 22414.4i | −0.891641 | + | 1.54437i | |||||
272.548 | − | 472.067i | 0.0187315 | − | 0.0324440i | |||||
17578.6 | 1.20510 | |||||||||
0 | 0 | |||||||||
−6079.68 | −0.414706 | −0.207353 | − | 0.978266i | ||||||
−0.207353 | + | 0.978266i | ||||||||
1153.51 | − | 1997.94i | 0.0784863 | − | 0.135942i | |||||
6882.14 | − | 11920.2i | 0.467102 | − | 0.809045i | −0.532191 | − | 0.846624i | ||
0.999294 | + | 0.0375793i | ||||||||
11655.0 | + | 20187.1i | 0.789075 | + | 1.36672i | |||||
−31721.0 | −2.14225 | |||||||||
1608.79 | + | 2786.50i | 0.108379 | + | 0.187717i | |||||
9252.30 | + | 16025.5i | 0.621751 | + | 1.07690i | |||||
16871.5 | 1.13095 | |||||||||
−8132.99 | − | 14086.8i | −0.543835 | − | 0.941950i | −0.998679 | − | 0.0513790i | ||
0.454844 | − | 0.890571i | ||||||||
−1052.30 | + | 1822.63i | −0.0701913 | + | 0.121575i | |||||
9193.81 | − | 15924.1i | 0.611743 | − | 1.05957i | |||||
−1331.21 | −0.0883589 | |||||||||
0 | 0 | |||||||||
11191.9 | 0.739223 | |||||||||
6247.17 | − | 10820.4i | 0.411616 | − | 0.712940i | −0.583450 | − | 0.812149i | ||
0.995067 | + | 0.0992084i | ||||||||
1934.75 | − | 3351.09i | 0.127167 | − | 0.220259i | |||||
−6215.07 | − | 10764.8i | −0.407505 | − | 0.705820i | |||||
12162.0 | 0.795490 | |||||||||
7233.90 | + | 12529.5i | 0.472003 | + | 0.817534i | 0.999487 | − | 0.0320316i | ||
−0.527484 | + | 0.849565i | ||||||||
10172.9 | + | 17619.9i | 0.662156 | + | 1.14689i | |||||
7989.85 | 0.518803 | 0.259401 | − | 0.965770i | ||||||
0.259401 | + | 0.965770i | ||||||||
−4939.81 | − | 8556.00i | −0.319980 | − | 0.554221i | |||||
−2242.75 | + | 3884.55i | −0.144925 | + | 0.251017i | |||||
2655.72 | − | 4599.85i | 0.171197 | − | 0.296523i | |||||
−2277.11 | −0.146437 | |||||||||
0 | 0 | |||||||||
−18796.4 | −1.20297 | |||||||||
−6102.36 | + | 10569.6i | −0.389615 | + | 0.674834i | |||||
−14158.2 | + | 24522.7i | −0.901792 | + | 1.56195i | |||||
−7460.14 | − | 12921.3i | −0.474032 | − | 0.821048i | |||||
16564.0 | 1.05000 | |||||||||
−14352.5 | − | 24859.2i | −0.907644 | − | 1.57209i | |||||
−9484.25 | − | 16427.2i | −0.598355 | − | 1.03638i | −0.993064 | − | 0.117575i | ||
0.394709 | − | 0.918806i | ||||||||
−6358.76 | −0.400218 | |||||||||
13704.4 | + | 23736.7i | 0.860506 | + | 1.49044i | |||||
−1382.99 | + | 2395.42i | −0.0866336 | + | 0.150054i | |||||
10660.5 | − | 18464.6i | 0.666222 | − | 1.15393i | |||||
−3799.12 | −0.236863 | |||||||||
0 | 0 | |||||||||
8289.40 | 0.514390 | |||||||||
7908.96 | − | 13698.7i | 0.489630 | − | 0.848064i | |||||
810.535 | − | 1403.89i | 0.0500613 | − | 0.0867087i | |||||
−12260.2 | − | 21235.3i | −0.755459 | − | 1.30849i | −0.945146 | − | 0.326649i | ||
0.189687 | − | 0.981845i | ||||||||
18936.2 | 1.16410 | |||||||||
−5887.83 | − | 10198.0i | −0.361110 | − | 0.625460i | 0.627034 | − | 0.778992i | ||
−0.988144 | + | 0.153532i | ||||||||
−2556.60 | − | 4428.16i | −0.156435 | − | 0.270954i | |||||
41803.1 | 2.55193 | |||||||||
−4671.69 | − | 8091.61i | −0.284528 | − | 0.492817i | |||||
10917.4 | − | 18909.5i | 0.663382 | − | 1.14901i | −0.316340 | − | 0.948646i | ||
0.979721 | − | 0.200365i | ||||||||
963.817 | − | 1669.38i | 0.0584295 | − | 0.101203i | |||||
−41291.5 | −2.49743 | |||||||||
0 | 0 | |||||||||
−45718.1 | −2.75243 | |||||||||
−5246.50 | + | 9087.21i | −0.315136 | + | 0.545832i | |||||
−3663.85 | + | 6345.98i | −0.219567 | + | 0.380302i | −0.954676 | − | 0.297648i | ||
0.735108 | + | 0.677950i | ||||||||
−8177.18 | − | 14163.3i | −0.488919 | − | 0.846832i | |||||
−27581.9 | −1.64537 | |||||||||
−963.657 | − | 1669.10i | −0.0573544 | − | 0.0993407i | |||||
−6362.61 | − | 11020.4i | −0.377822 | − | 0.654407i | |||||
23061.2 | 1.36629 | |||||||||
4184.17 | + | 7247.20i | 0.247333 | + | 0.428393i | 0.962785 | − | 0.270269i | ||
−0.715452 | + | 0.698662i | ||||||||
10905.4 | − | 18888.7i | 0.643169 | − | 1.11400i | |||||
−7591.06 | + | 13148.1i | −0.446684 | + | 0.773679i | −0.998168 | − | 0.0605065i | ||
0.551484 | + | 0.834185i | ||||||||
−20013.3 | −1.17498 | |||||||||
0 | 0 | |||||||||
3558.56 | 0.207980 | |||||||||
−11982.0 | + | 20753.4i | −0.698708 | + | 1.21020i | |||||
−9185.34 | + | 15909.5i | −0.534421 | + | 0.925645i | |||||
−1742.53 | − | 3018.15i | −0.101156 | − | 0.175207i | |||||
−5112.01 | −0.296092 | |||||||||
−13419.4 | − | 23243.1i | −0.775521 | − | 1.34324i | |||||
−10198.9 | − | 17665.0i | −0.588085 | − | 1.01859i | |||||
−2777.10 | −0.159774 | |||||||||
−3750.76 | − | 6496.51i | −0.215311 | − | 0.372929i | |||||
9952.15 | − | 17237.6i | 0.570026 | − | 0.987314i | −0.426537 | − | 0.904470i | ||
0.996563 | − | 0.0828434i | ||||||||
−11057.1 | + | 19151.5i | −0.631905 | + | 1.09449i | |||||
−3573.01 | −0.203741 | |||||||||
0 | 0 | |||||||||
−10760.9 | −0.610896 | −0.305448 | − | 0.952209i | ||||||
−0.305448 | + | 0.952209i | ||||||||
−6065.47 | + | 10505.7i | −0.343574 | + | 0.595087i | |||||
56.0501 | − | 97.0816i | 0.00316790 | − | 0.00548697i | |||||
3598.38 | + | 6232.58i | 0.202929 | + | 0.351483i | |||||
−4428.33 | −0.249183 | |||||||||
−10305.2 | − | 17849.1i | −0.578601 | − | 1.00217i | |||||
11589.1 | + | 20073.0i | 0.649262 | + | 1.12456i | 0.983299 | + | 0.181995i | ||
−0.334037 | + | 0.942560i | ||||||||
10362.5 | 0.579270 | |||||||||
−11193.3 | − | 19387.4i | −0.624344 | − | 1.08140i | |||||
4078.05 | − | 7063.38i | 0.226969 | − | 0.393121i | |||||
12513.9 | − | 21674.8i | 0.694959 | − | 1.20370i | |||||
6481.64 | 0.359172 | |||||||||
0 | 0 | |||||||||
−9169.77 | −0.505923 | |||||||||
−8675.41 | + | 15026.3i | −0.477610 | + | 0.827244i | −0.999671 | − | 0.0256641i | ||
0.522061 | + | 0.852908i | ||||||||
−2139.96 | + | 3706.53i | −0.117557 | + | 0.203614i | |||||
−29941.4 | − | 51860.1i | −1.64124 | − | 2.84271i | |||||
−17267.9 | −0.944497 | |||||||||
6367.36 | + | 11028.6i | 0.347522 | + | 0.601925i | |||||
−2556.45 | − | 4427.90i | −0.139227 | − | 0.241148i | |||||
8556.34 | 0.464985 | |||||||||
−9369.06 | − | 16227.7i | −0.508057 | − | 0.879981i | |||||
13782.6 | − | 23872.2i | 0.745788 | − | 1.29174i | |||||
2036.51 | − | 3527.35i | 0.109961 | − | 0.190459i | |||||
50.2552 | 0.00270772 | 0.00135386 | − | 0.999999i | ||||||
0.00135386 | + | 0.999999i | ||||||||
0 | 0 | |||||||||
15336.5 | 0.822799 | |||||||||
1690.90 | − | 2928.72i | 0.0905229 | − | 0.156790i | |||||
20678.5 | − | 35816.1i | 1.10468 | − | 1.91335i | |||||
5017.86 | + | 8691.19i | 0.267492 | + | 0.463311i | |||||
29786.6 | 1.58450 | |||||||||
12734.3 | + | 22056.5i | 0.675966 | + | 1.17081i | |||||
12727.2 | + | 22044.2i | 0.674163 | + | 1.16768i | 0.976713 | + | 0.214550i | ||
−0.302550 | + | 0.953133i | ||||||||
10171.5 | 0.537647 | |||||||||
15654.5 | + | 27114.4i | 0.825724 | + | 1.43020i | |||||
−316.589 | + | 548.348i | −0.0166639 | + | 0.0288626i | |||||
−4332.55 | + | 7504.19i | −0.227567 | + | 0.394157i | |||||
33303.1 | 1.74557 | |||||||||
0 | 0 | |||||||||
2950.20 | 0.153986 | |||||||||
2845.90 | − | 4929.24i | 0.148231 | − | 0.256744i | |||||
−7268.33 | + | 12589.1i | −0.377788 | + | 0.654348i | |||||
−3742.99 | − | 6483.06i | −0.194145 | − | 0.336269i | 0.752475 | − | 0.658621i | ||
−0.946620 | + | 0.322352i | ||||||||
−7981.76 | −0.413142 | |||||||||
17960.1 | + | 31107.9i | 0.927698 | + | 1.60682i | |||||
2533.50 | + | 4388.14i | 0.130591 | + | 0.226191i | |||||
−30273.5 | −1.55724 | |||||||||
2914.03 | + | 5047.26i | 0.149585 | + | 0.259088i | |||||
1388.05 | − | 2404.17i | 0.0711047 | − | 0.123157i | |||||
11905.3 | − | 20620.5i | 0.608604 | − | 1.05413i | |||||
19443.6 | 0.991919 | 0.495959 | − | 0.868346i | ||||||
0.495959 | + | 0.868346i | ||||||||
0 | 0 | |||||||||
−31700.8 | −1.61057 | |||||||||
4091.39 | − | 7086.49i | 0.207437 | − | 0.359292i | |||||
−14387.7 | + | 24920.2i | −0.727972 | + | 1.26088i | |||||
856.456 | + | 1483.42i | 0.0432452 | + | 0.0749030i | |||||
24222.3 | 1.22056 | 0.610280 | − | 0.792186i | ||||||
0.610280 | + | 0.792186i | ||||||||
−11887.4 | − | 20589.6i | −0.597784 | − | 1.03539i | |||||
−25010.7 | − | 43319.8i | −1.25515 | − | 2.17398i | |||||
−1421.79 | −0.0712063 | |||||||||
−21276.4 | − | 36851.8i | −1.06340 | − | 1.84186i | |||||
−4744.81 | + | 8218.26i | −0.236665 | + | 0.409916i | |||||
−1805.33 | + | 3126.92i | −0.0898647 | + | 0.155650i | −0.907454 | − | 0.420152i | ||
0.817589 | + | 0.575802i | ||||||||
−11813.0 | −0.586830 | |||||||||
0 | 0 | |||||||||
−6707.33 | −0.331852 | |||||||||
13089.8 | − | 22672.2i | 0.646324 | − | 1.11947i | −0.337670 | − | 0.941264i | ||
0.983994 | − | 0.178201i | ||||||||
−6356.23 | + | 11009.3i | −0.313213 | + | 0.542502i | |||||
−862.928 | − | 1494.63i | −0.0424365 | − | 0.0735022i | |||||
−28469.1 | −1.39722 | |||||||||
−8760.75 | − | 15174.1i | −0.429102 | − | 0.743226i | |||||
7506.77 | + | 13002.1i | 0.366945 | + | 0.635567i | |||||
33431.7 | 1.63093 | |||||||||
9246.74 | + | 16015.8i | 0.450191 | + | 0.779753i | |||||
−6379.01 | + | 11048.8i | −0.309951 | + | 0.536851i | −0.978351 | − | 0.206950i | ||
0.668400 | + | 0.743802i | ||||||||
3206.23 | − | 5553.36i | 0.155478 | − | 0.269295i | |||||
31392.9 | 1.51929 | |||||||||
0 | 0 | |||||||||
10187.3 | 0.491066 | |||||||||
−5809.03 | + | 10061.5i | −0.279461 | + | 0.484040i | |||||
−39.2371 | + | 67.9606i | −0.00188388 | + | 0.00326297i | −0.866966 | − | 0.498368i | ||
0.865082 | + | 0.501631i | ||||||||
−7920.09 | − | 13718.0i | −0.379513 | − | 0.657335i | |||||
−19129.5 | −0.914832 | |||||||||
3331.73 | + | 5770.73i | 0.159019 | + | 0.275429i | |||||
8488.84 | + | 14703.1i | 0.404363 | + | 0.700377i | 0.994247 | − | 0.107111i | ||
−0.589884 | + | 0.807488i | ||||||||
−27434.6 | −1.30427 | |||||||||
−14436.8 | − | 25005.2i | −0.684988 | − | 1.18643i | |||||
−1150.86 | + | 1993.35i | −0.0544983 | + | 0.0943938i | |||||
17717.6 | − | 30687.7i | 0.837360 | − | 1.45035i | |||||
21253.9 | 1.00252 | |||||||||
0 | 0 | |||||||||
−2085.89 | −0.0980053 | |||||||||
11494.7 | − | 19909.4i | 0.539024 | − | 0.933616i | −0.459933 | − | 0.887954i | ||
0.998957 | − | 0.0456629i | ||||||||
19253.4 | − | 33347.9i | 0.901096 | − | 1.56074i | |||||
18648.6 | + | 32300.3i | 0.871092 | + | 1.50878i | |||||
9754.90 | 0.454775 | |||||||||
3016.71 | + | 5225.10i | 0.140367 | + | 0.243123i | 0.927635 | − | 0.373488i | ||
−0.787268 | + | 0.616611i | ||||||||
−15957.0 | − | 27638.4i | −0.741038 | − | 1.28351i | |||||
−6902.36 | −0.319923 | |||||||||
−15.5854 | − | 26.9947i | −0.000720984 | − | 0.00124878i | |||||
−27332.4 | + | 47341.1i | −1.26196 | + | 2.18578i | |||||
10183.7 | − | 17638.6i | 0.469283 | − | 0.812823i | |||||
7922.29 | 0.364372 | |||||||||
0 | 0 | |||||||||
21219.3 | 0.972196 | |||||||||
3156.03 | − | 5466.40i | 0.144321 | − | 0.249972i | |||||
−3959.32 | + | 6857.75i | −0.180708 | + | 0.312996i | |||||
−3877.95 | − | 6716.81i | −0.176656 | − | 0.305977i | |||||
−47239.9 | −2.14785 | |||||||||
17745.3 | + | 30735.8i | 0.805286 | + | 1.39480i | |||||
−18827.9 | − | 32610.9i | −0.852786 | − | 1.47707i | −0.878684 | − | 0.477404i | ||
0.0258980 | − | 0.999665i | ||||||||
15294.1 | 0.691408 | |||||||||
−19650.7 | − | 34035.9i | −0.886669 | − | 1.53576i | |||||
−10066.4 | + | 17435.5i | −0.453350 | + | 0.785225i | |||||
−10708.6 | + | 18547.8i | −0.481356 | + | 0.833733i | |||||
−16651.2 | −0.747062 | |||||||||
0 | 0 | |||||||||
7304.13 | 0.326466 | |||||||||
−6014.30 | + | 10417.1i | −0.268308 | + | 0.464724i | |||||
4314.82 | − | 7473.49i | 0.192129 | − | 0.332778i | |||||
−12114.0 | − | 20982.1i | −0.538395 | − | 0.932527i | −0.998991 | − | 0.0449170i | ||
0.460596 | − | 0.887610i | ||||||||
30835.3 | 1.36787 | |||||||||
14234.1 | + | 24654.2i | 0.630246 | + | 1.09162i | |||||
−566.278 | − | 980.822i | −0.0250262 | − | 0.0433466i | |||||
3117.61 | 0.137522 | |||||||||
8884.69 | + | 15388.7i | 0.391184 | + | 0.677550i | |||||
8535.25 | − | 14783.5i | 0.375097 | − | 0.649686i | |||||
−13123.3 | + | 22730.2i | −0.575649 | + | 0.997053i | |||||
−16189.2 | −0.708812 | |||||||||
0 | 0 | |||||||||
16017.3 | 0.698682 | |||||||||
4141.26 | − | 7172.87i | 0.180308 | − | 0.312303i | |||||
−19987.2 | + | 34618.9i | −0.868621 | + | 1.50450i | −0.00521394 | + | 0.999986i | ||
−0.863407 | + | 0.504509i | ||||||||
−3051.59 | − | 5285.51i | −0.132373 | − | 0.229277i | |||||
13394.4 | 0.579953 | 0.289977 | − | 0.957034i | ||||||
0.289977 | + | 0.957034i | ||||||||
−4513.40 | − | 7817.44i | −0.195061 | − | 0.337855i | |||||
−17990.5 | − | 31160.4i | −0.776080 | − | 1.34421i | |||||
−24643.7 | −1.06113 | |||||||||
16611.2 | + | 28771.5i | 0.713946 | + | 1.23659i | |||||
4630.17 | − | 8019.70i | 0.198638 | − | 0.344051i | |||||
−13321.5 | + | 23073.5i | −0.570453 | + | 0.988054i | |||||
−22935.9 | −0.980362 | |||||||||
0 | 0 | |||||||||
−6102.17 | −0.259874 | |||||||||
−15769.6 | + | 27313.8i | −0.670358 | + | 1.16109i | 0.307445 | + | 0.951566i | ||
−0.977803 | + | 0.209528i | ||||||||
−14402.9 | + | 24946.5i | −0.611142 | + | 1.05853i | |||||
13443.2 | + | 23284.2i | 0.569379 | + | 0.986193i | 0.996627 | + | 0.0820590i | ||
−0.427249 | + | 0.904134i | ||||||||
9988.07 | 0.422271 | |||||||||
−7619.01 | − | 13196.5i | −0.321527 | − | 0.556901i | |||||
22482.3 | + | 38940.5i | 0.947047 | + | 1.64033i | |||||
16064.3 | 0.675466 | 0.337733 | − | 0.941242i | ||||||
0.337733 | + | 0.941242i | ||||||||
3500.27 | + | 6062.65i | 0.146912 | + | 0.254458i | |||||
−3927.65 | + | 6802.90i | −0.164551 | + | 0.285011i | −0.936496 | − | 0.350679i | ||
0.771945 | + | 0.635690i | ||||||||
5633.48 | − | 9757.47i | 0.235591 | − | 0.408056i | |||||
−29432.5 | −1.22864 | |||||||||
0 | 0 | |||||||||
34432.5 | 1.43219 | |||||||||
8193.11 | − | 14190.9i | 0.340173 | − | 0.589197i | |||||
−8092.70 | + | 14017.0i | −0.335401 | + | 0.580931i | |||||
6950.50 | + | 12038.6i | 0.287545 | + | 0.498043i | |||||
19688.5 | 0.813065 | |||||||||
15914.1 | + | 27564.0i | 0.656017 | + | 1.13626i | |||||
−2603.26 | − | 4508.98i | −0.107121 | − | 0.185539i | 0.807482 | − | 0.589892i | ||
−0.914603 | + | 0.404354i | ||||||||
−23751.0 | −0.975579 | |||||||||
9118.25 | + | 15793.3i | 0.373867 | + | 0.647557i | |||||
3091.64 | − | 5354.88i | 0.126538 | − | 0.219170i | |||||
16683.1 | − | 28896.0i | 0.681610 | − | 1.18058i | |||||
13455.4 | 0.548762 | |||||||||
0 | 0 | |||||||||
−31573.4 | −1.28312 | |||||||||
21018.7 | − | 36405.5i | 0.852670 | − | 1.47687i | |||||
−932.528 | + | 1615.19i | −0.0377631 | + | 0.0654077i | |||||
27402.5 | + | 47462.6i | 1.10772 | + | 1.91862i | |||||
5028.00 | 0.202893 | |||||||||
5180.40 | + | 8972.72i | 0.208674 | + | 0.361435i | |||||
−6544.01 | − | 11334.6i | −0.263139 | − | 0.455770i | |||||
−11007.6 | −0.441842 | −0.220921 | − | 0.975292i | ||||||
−0.220921 | + | 0.975292i | ||||||||
1512.07 | + | 2618.98i | 0.0605877 | + | 0.104941i | |||||
16404.6 | − | 28413.7i | 0.656172 | − | 1.13652i | |||||
4648.05 | − | 8050.65i | 0.185592 | − | 0.321455i | |||||
−15769.9 | −0.628576 | −0.314288 | − | 0.949328i | ||||||
−0.314288 | + | 0.949328i | ||||||||
0 | 0 | |||||||||
13386.6 | 0.531716 | 0.265858 | − | 0.964012i | ||||||
0.265858 | + | 0.964012i | ||||||||
10260.9 | − | 17772.5i | 0.406854 | − | 0.704693i | |||||
−14118.9 | + | 24454.7i | −0.558853 | + | 0.967961i | |||||
−4996.69 | − | 8654.52i | −0.197434 | − | 0.341965i | |||||
13233.1 | 0.521968 | 0.260984 | − | 0.965343i | ||||||
0.260984 | + | 0.965343i | ||||||||
1615.27 | + | 2797.73i | 0.0636026 | + | 0.110163i | |||||
6775.45 | + | 11735.4i | 0.266326 | + | 0.461291i | |||||
−3683.67 | −0.144545 | |||||||||
540.147 | + | 935.563i | 0.0211584 | + | 0.0366475i | |||||
−11221.9 | + | 19436.9i | −0.438820 | + | 0.760059i | |||||
−21000.0 | + | 36373.1i | −0.819767 | + | 1.41988i | |||||
−16188.2 | −0.630841 | |||||||||
0 | 0 | |||||||||
−8028.64 | −0.311794 | |||||||||
−76.7388 | + | 132.916i | −0.00297505 | + | 0.00515293i | |||||
2922.16 | − | 5061.32i | 0.113093 | − | 0.195883i | |||||
16325.1 | + | 28275.8i | 0.630729 | + | 1.09245i | |||||
−10529.1 | −0.406101 | |||||||||
−17860.3 | − | 30934.9i | −0.687684 | − | 1.19110i | −0.972585 | − | 0.232547i | ||
0.284901 | − | 0.958557i | ||||||||
−9963.22 | − | 17256.8i | −0.382964 | − | 0.663313i | |||||
−36694.1 | −1.40803 | |||||||||
−5353.64 | − | 9272.78i | −0.205081 | − | 0.355211i | |||||
−263.170 | + | 455.824i | −0.0100641 | + | 0.0174315i | −0.871014 | − | 0.491259i | ||
0.860950 | + | 0.508690i | ||||||||
−19094.1 | + | 33071.9i | −0.728947 | + | 1.26257i | |||||
39626.2 | 1.51022 | 0.755112 | − | 0.655596i | ||||||
0.755112 | + | 0.655596i | ||||||||
0 | 0 | |||||||||
80637.5 | 3.06282 | |||||||||
8480.02 | − | 14687.8i | 0.321548 | − | 0.556938i | |||||
18332.2 | − | 31752.3i | 0.693951 | − | 1.20196i | −0.276582 | − | 0.960990i | ||
0.970533 | − | 0.240968i | ||||||||
7600.11 | + | 13163.8i | 0.287211 | + | 0.497463i | |||||
−48435.7 | −1.82731 | |||||||||
1002.37 | + | 1736.15i | 0.0377522 | + | 0.0653887i | |||||
−6366.08 | − | 11026.4i | −0.239362 | − | 0.414588i | |||||
−13175.6 | −0.494566 | |||||||||
13179.3 | + | 22827.3i | 0.493874 | + | 0.855415i | |||||
−1110.36 | + | 1923.20i | −0.0415392 | + | 0.0719480i | |||||
4670.38 | − | 8089.34i | 0.174429 | − | 0.302119i | |||||
−3682.63 | −0.137308 | |||||||||
0 | 0 | |||||||||
6901.34 | 0.256460 | |||||||||
−7648.64 | + | 13247.8i | −0.283756 | + | 0.491479i | |||||
−2788.21 | + | 4829.33i | −0.103267 | + | 0.178864i | |||||
−4139.97 | − | 7170.64i | −0.153077 | − | 0.265137i | |||||
−12730.0 | −0.469916 | |||||||||
−47482.6 | − | 82242.3i | −1.74986 | − | 3.03084i | |||||
2977.65 | + | 5157.43i | 0.109552 | + | 0.189750i | |||||
18452.6 | 0.677772 | |||||||||
−6554.21 | − | 11352.2i | −0.240341 | − | 0.416283i | |||||
17715.0 | − | 30683.3i | 0.648530 | − | 1.12329i | −0.334944 | − | 0.942238i | ||
0.983474 | − | 0.181049i | ||||||||
−1086.97 | + | 1882.69i | −0.0397273 | + | 0.0688098i | |||||
−40781.1 | −1.48804 | |||||||||
0 | 0 | |||||||||
−1970.18 | −0.0716521 | −0.0358261 | − | 0.999358i | ||||||
−0.0358261 | + | 0.999358i | ||||||||
4287.06 | − | 7425.41i | 0.155657 | − | 0.269605i | |||||
11752.3 | − | 20355.6i | 0.426006 | − | 0.737865i | |||||
−6541.22 | − | 11329.7i | −0.236723 | − | 0.410016i | |||||
5423.34 | 0.195945 | |||||||||
−6143.31 | − | 10640.5i | −0.221595 | − | 0.383813i | |||||
31329.3 | + | 54263.9i | 1.12823 | + | 1.95415i | |||||
−14342.0 | −0.515640 | |||||||||
−3499.62 | − | 6061.52i | −0.125617 | − | 0.217575i | 0.796357 | − | 0.604827i | ||
−0.921974 | + | 0.387252i | ||||||||
−2250.80 | + | 3898.50i | −0.0806594 | + | 0.139706i | |||||
−7882.19 | + | 13652.4i | −0.282005 | + | 0.488448i | |||||
29227.7 | 1.04399 | |||||||||
0 | 0 | |||||||||
−49548.1 | −1.76408 | |||||||||
−4126.56 | + | 7147.41i | −0.146681 | + | 0.254060i | |||||
3680.01 | − | 6373.96i | 0.130597 | − | 0.226200i | |||||
−24589.4 | − | 42590.1i | −0.871222 | − | 1.50900i | |||||
−2510.01 | −0.0887879 | |||||||||
−11816.3 | − | 20466.4i | −0.417309 | − | 0.722801i | 0.578358 | − | 0.815783i | ||
−0.995668 | + | 0.0929817i | ||||||||
20124.8 | + | 34857.2i | 0.709590 | + | 1.22905i | |||||
31880.9 | 1.12229 | |||||||||
−6766.11 | − | 11719.3i | −0.237802 | − | 0.411885i | |||||
−10819.4 | + | 18739.8i | −0.379649 | + | 0.657571i | |||||
−457.544 | + | 792.489i | −0.0160292 | + | 0.0277634i | |||||
47535.2 | 1.66264 | |||||||||
0 | 0 | |||||||||
−30872.4 | −1.07637 | −0.538183 | − | 0.842828i | ||||||
−0.538183 | + | 0.842828i | ||||||||
−23169.1 | + | 40130.0i | −0.806499 | + | 1.39690i | |||||
24861.0 | − | 43060.6i | 0.864014 | − | 1.49652i | |||||
−10151.4 | − | 17582.8i | −0.352237 | − | 0.610092i | |||||
−6690.77 | −0.231788 | −0.115894 | − | 0.993262i | ||||||
−0.115894 | + | 0.993262i | ||||||||
30392.7 | + | 52641.6i | 1.05122 | + | 1.82076i | |||||
2676.01 | + | 4634.98i | 0.0924102 | + | 0.160059i | |||||
12503.0 | 0.431078 | |||||||||
18392.3 | + | 31856.3i | 0.633122 | + | 1.09660i | |||||
21405.9 | − | 37076.0i | 0.735692 | − | 1.27426i | |||||
−10738.6 | + | 18599.7i | −0.368486 | + | 0.638237i | −0.989329 | − | 0.145698i | ||
0.620843 | + | 0.783935i | ||||||||
25905.6 | 0.887527 | |||||||||
0 | 0 | |||||||||
4655.41 | 0.158991 | |||||||||
5634.33 | − | 9758.94i | 0.192119 | − | 0.332761i | |||||
8174.55 | − | 14158.7i | 0.278297 | − | 0.482024i | |||||
3925.25 | + | 6798.73i | 0.133422 | + | 0.231094i | 0.924994 | − | 0.379983i | ||
−0.791571 | + | 0.611077i | ||||||||
9183.08 | 0.311649 | |||||||||
3643.80 | + | 6311.25i | 0.123467 | + | 0.213851i | |||||
−1397.10 | − | 2419.85i | −0.0472651 | − | 0.0818656i | |||||
−33771.1 | −1.14071 | |||||||||
9770.94 | + | 16923.8i | 0.329525 | + | 0.570753i | |||||
−25428.2 | + | 44043.0i | −0.856226 | + | 1.48303i | |||||
−3302.12 | + | 5719.45i | −0.111016 | + | 0.192286i | |||||
8243.39 | 0.276707 | |||||||||
0 | 0 | |||||||||
−45771.7 | −1.53164 | |||||||||
−7430.89 | + | 12870.7i | −0.248270 | + | 0.430017i | |||||
15442.7 | − | 26747.6i | 0.515150 | − | 0.892266i | |||||
10415.6 | + | 18040.4i | 0.346912 | + | 0.600869i | |||||
44143.2 | 1.46799 | 0.733997 | − | 0.679152i | ||||||
0.733997 | + | 0.679152i | ||||||||
−5844.51 | − | 10123.0i | −0.194060 | − | 0.336121i | |||||
19032.5 | + | 32965.2i | 0.630972 | + | 1.09288i | |||||
−98.6916 | −0.00326680 | |||||||||
−14315.9 | − | 24795.8i | −0.473139 | − | 0.819500i | 0.526389 | − | 0.850244i | ||
−0.999527 | + | 0.0307439i | ||||||||
−9378.13 | + | 16243.4i | −0.309469 | + | 0.536016i | |||||
14464.9 | − | 25053.9i | 0.476591 | − | 0.825481i | |||||
40500.4 | 1.33236 | |||||||||
0 | 0 | |||||||||
840.898 | 0.0275784 | |||||||||
4652.80 | − | 8058.88i | 0.152360 | − | 0.263896i | −0.779734 | − | 0.626110i | ||
0.932095 | + | 0.362215i | ||||||||
21374.3 | − | 37021.3i | 0.698849 | − | 1.21044i | |||||
2091.09 | + | 3621.88i | 0.0682651 | + | 0.118239i | |||||
−24556.4 | −0.800433 | |||||||||
19765.5 | + | 34234.9i | 0.643287 | + | 1.11421i | |||||
17279.4 | + | 29928.9i | 0.561516 | + | 0.972574i | |||||
−28467.2 | −0.923666 | −0.461833 | − | 0.886967i | ||||||
−0.461833 | + | 0.886967i | ||||||||
3925.94 | + | 6799.93i | 0.127190 | + | 0.220299i | |||||
24211.7 | − | 41935.9i | 0.783197 | − | 1.35654i | |||||
5571.62 | − | 9650.33i | 0.179956 | − | 0.311693i | |||||
−93951.6 | −3.02990 | |||||||||
0 | 0 | |||||||||
−17999.1 | −0.578703 | |||||||||
−26360.0 | + | 45656.9i | −0.846240 | + | 1.46573i | |||||
−7749.06 | + | 13421.8i | −0.248393 | + | 0.430229i | −0.963080 | − | 0.269215i | ||
0.714687 | + | 0.699444i | ||||||||
3120.39 | + | 5404.67i | 0.0998713 | + | 0.172982i | |||||
81534.3 | 2.60565 | |||||||||
−11553.4 | − | 20011.1i | −0.368664 | − | 0.638545i | |||||
−13661.4 | − | 23662.2i | −0.435272 | − | 0.753912i | |||||
−14497.6 | −0.461219 | |||||||||
−630.399 | − | 1091.88i | −0.0200250 | − | 0.0346844i | 0.855839 | − | 0.517242i | ||
−0.875864 | + | 0.482558i | ||||||||
−16994.7 | + | 29435.6i | −0.539035 | + | 0.933636i | |||||
11770.7 | − | 20387.5i | 0.372782 | − | 0.645678i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 338.4.c.o.191.6 | 12 | ||
13.2 | odd | 12 | 338.4.e.i.23.5 | 24 | |||
13.3 | even | 3 | inner | 338.4.c.o.315.6 | 12 | ||
13.4 | even | 6 | 338.4.a.n.1.1 | ✓ | 6 | ||
13.5 | odd | 4 | 338.4.e.i.147.12 | 24 | |||
13.6 | odd | 12 | 338.4.b.h.337.1 | 12 | |||
13.7 | odd | 12 | 338.4.b.h.337.7 | 12 | |||
13.8 | odd | 4 | 338.4.e.i.147.5 | 24 | |||
13.9 | even | 3 | 338.4.a.o.1.1 | yes | 6 | ||
13.10 | even | 6 | 338.4.c.p.315.6 | 12 | |||
13.11 | odd | 12 | 338.4.e.i.23.12 | 24 | |||
13.12 | even | 2 | 338.4.c.p.191.6 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
338.4.a.n.1.1 | ✓ | 6 | 13.4 | even | 6 | ||
338.4.a.o.1.1 | yes | 6 | 13.9 | even | 3 | ||
338.4.b.h.337.1 | 12 | 13.6 | odd | 12 | |||
338.4.b.h.337.7 | 12 | 13.7 | odd | 12 | |||
338.4.c.o.191.6 | 12 | 1.1 | even | 1 | trivial | ||
338.4.c.o.315.6 | 12 | 13.3 | even | 3 | inner | ||
338.4.c.p.191.6 | 12 | 13.12 | even | 2 | |||
338.4.c.p.315.6 | 12 | 13.10 | even | 6 | |||
338.4.e.i.23.5 | 24 | 13.2 | odd | 12 | |||
338.4.e.i.23.12 | 24 | 13.11 | odd | 12 | |||
338.4.e.i.147.5 | 24 | 13.8 | odd | 4 | |||
338.4.e.i.147.12 | 24 | 13.5 | odd | 4 |