Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,8,Mod(5,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 21.g (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 | 17.4 | ||
Character | 21.17 | ||
Dual form | 21.8.g.b.5.4 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−12.6634 | + | 7.31122i | −1.11930 | + | 0.646226i | −0.941221 | − | 0.337790i | ||
−0.178076 | + | 0.984017i | ||||||||
9.88299 | + | 45.7092i | 0.211331 | + | 0.977414i | |||||
42.9078 | − | 74.3185i | 0.335217 | − | 0.580613i | |||||
269.104 | + | 466.101i | 0.962775 | + | 1.66758i | 0.715478 | + | 0.698635i | ||
0.247297 | + | 0.968940i | ||||||||
−459.342 | − | 506.577i | −0.868174 | − | 0.957449i | |||||
626.737 | + | 656.311i | 0.690625 | + | 0.723213i | |||||
− | 616.838i | − | 0.425948i | |||||||
−1991.65 | + | 903.486i | −0.910678 | + | 0.413117i | |||||
−6815.54 | − | 3934.95i | −2.15526 | − | 1.24434i | |||||
−1644.13 | − | 949.242i | −0.372446 | − | 0.215032i | 0.302081 | − | 0.953282i | ||
−0.674526 | + | 0.738251i | ||||||||
3821.09 | + | 1226.79i | 0.638342 | + | 0.204944i | |||||
− | 431.129i | − | 0.0544259i | −0.999630 | − | 0.0272129i | ||||
0.999630 | − | 0.0272129i | ||||||||
−12735.1 | − | 3728.92i | −1.24037 | − | 0.363191i | |||||
−18645.5 | + | 16907.0i | −1.42645 | + | 1.29344i | |||||
10002.0 | + | 17324.0i | 0.610476 | + | 1.05738i | |||||
10408.0 | − | 18027.1i | 0.513801 | − | 0.889929i | −0.486071 | − | 0.873919i | ||
0.999872 | − | 0.0160095i | ||||||||
18615.5 | − | 26002.6i | 0.752352 | − | 1.05090i | |||||
23102.3 | − | 13338.1i | 0.772711 | − | 0.446125i | −0.0611298 | − | 0.998130i | ||
0.833841 | + | 0.552005i | ||||||||
46186.6 | 1.29096 | |||||||||
−23805.4 | + | 35133.9i | −0.560929 | + | 0.827864i | |||||
27760.4 | 0.555837 | |||||||||
26678.1 | − | 15402.6i | 0.457201 | − | 0.263965i | −0.253666 | − | 0.967292i | ||
0.710866 | + | 0.703327i | ||||||||
28195.2 | − | 6096.21i | 0.416328 | − | 0.0900162i | |||||
−105771. | + | 183201.i | −1.35387 | + | 2.34497i | |||||
3152.08 | + | 5459.56i | 0.0351714 | + | 0.0609187i | |||||
−60981.1 | − | 82107.6i | −0.596241 | − | 0.802805i | |||||
75668.0 | − | 18417.3i | 0.651417 | − | 0.158552i | |||||
− | 40183.4i | − | 0.305952i | −0.988230 | − | 0.152976i | ||||
0.988230 | − | 0.152976i | ||||||||
112505. | − | 350422.i | 0.760763 | − | 2.36955i | |||||
25132.1 | + | 14510.0i | 0.151518 | + | 0.0874787i | 0.573842 | − | 0.818966i | ||
−0.422324 | + | 0.906445i | ||||||||
−184942. | − | 106777.i | −0.997726 | − | 0.576038i | |||||
27140.1 | − | 84533.3i | 0.131466 | − | 0.409477i | |||||
304380.i | 1.32813i | |||||||||
−137250. | + | 468739.i | −0.541097 | + | 1.84796i | |||||
−18311.7 | + | 186783.i | −0.0654139 | + | 0.667236i | |||||
−143496. | − | 248543.i | −0.465730 | − | 0.806669i | 0.533504 | − | 0.845798i | ||
−0.999234 | + | 0.0391289i | ||||||||
−195036. | + | 337812.i | −0.576596 | + | 0.998693i | |||||
19706.5 | − | 4260.84i | 0.0531966 | − | 0.0115019i | |||||
287509. | − | 165994.i | 0.710300 | − | 0.410092i | |||||
309693. | 0.701759 | 0.350879 | − | 0.936421i | ||||||
0.350879 | + | 0.936421i | ||||||||
44585.3 | − | 618961.i | 0.0928581 | − | 1.28911i | |||||
−47389.8 | −0.0908961 | −0.0454480 | − | 0.998967i | ||||||
−0.0454480 | + | 0.998967i | ||||||||
−141092. | + | 81459.8i | −0.249700 | + | 0.144165i | |||||
−957078. | − | 685181.i | −1.56568 | − | 1.12089i | |||||
−225223. | + | 390098.i | −0.341162 | + | 0.590910i | |||||
360027. | + | 623585.i | 0.505816 | + | 0.876099i | 0.999977 | + | 0.00672904i | ||
−0.494161 | + | 0.869370i | ||||||||
−693017. | + | 628398.i | −0.904481 | + | 0.820145i | |||||
−37945.1 | + | 822668.i | −0.0460755 | + | 0.998938i | |||||
− | 3.09326e6i | − | 3.49963i | |||||||
926866. | + | 297577.i | 0.978411 | + | 0.314126i | |||||
−32040.9 | − | 18498.8i | −0.0316004 | − | 0.0182445i | |||||
679694. | + | 392422.i | 0.627116 | + | 0.362066i | 0.779634 | − | 0.626235i | ||
−0.152518 | + | 0.988301i | ||||||||
1.37253e6 | + | 593916.i | 1.18617 | + | 0.513271i | |||||
− | 1.02178e6i | − | 0.828108i | |||||||
404838. | − | 386595.i | 0.308051 | − | 0.294170i | |||||
837993. | + | 924165.i | 0.599347 | + | 0.660979i | |||||
293790. | + | 508859.i | 0.197715 | + | 0.342452i | |||||
−494964. | + | 857303.i | −0.313756 | + | 0.543441i | −0.979172 | − | 0.203032i | ||
0.665417 | + | 0.746472i | ||||||||
456462. | + | 2.11115e6i | 0.272819 | + | 1.26180i | |||||
1.30273e6 | − | 752131.i | 0.734852 | − | 0.424267i | −0.0853427 | − | 0.996352i | ||
0.820194 | + | 0.572085i | ||||||||
−424344. | −0.226124 | |||||||||
−1.84121e6 | − | 740896.i | −0.927708 | − | 0.373306i | |||||
562144. | 0.268051 | |||||||||
200950. | − | 116018.i | 0.0907592 | − | 0.0523999i | |||||
274356. | + | 1.26891e6i | 0.117466 | + | 0.543283i | |||||
−997379. | + | 1.72751e6i | −0.405134 | + | 0.701712i | −0.994337 | − | 0.106273i | ||
0.589203 | + | 0.807985i | ||||||||
−893166. | − | 1.54701e6i | −0.344470 | − | 0.596639i | |||||
967698. | + | 1.06721e6i | 0.354624 | + | 0.391090i | |||||
−1.68900e6 | − | 6.93929e6i | −0.588553 | − | 2.41809i | |||||
672836.i | 0.223103i | 0.993759 | + | 0.111551i | ||||||
−0.993759 | + | 0.111551i | ||||||||
557305. | + | 1.22853e6i | 0.175966 | + | 0.387901i | |||||
−3.19678e6 | − | 1.84566e6i | −0.961795 | − | 0.555293i | −0.0650703 | − | 0.997881i | ||
−0.896725 | + | 0.442588i | ||||||||
3.63430e6 | + | 2.09827e6i | 1.04258 | + | 0.601935i | |||||
−9.41930e6 | − | 3.02414e6i | −2.57813 | − | 0.827727i | |||||
− | 2.28924e6i | − | 0.598195i | |||||||
−407442. | − | 1.67399e6i | −0.101706 | − | 0.417864i | |||||
−218400. | + | 198036.i | −0.0521100 | + | 0.0472511i | |||||
626552. | + | 1.08522e6i | 0.142976 | + | 0.247641i | 0.928616 | − | 0.371043i | ||
−0.785640 | + | 0.618684i | ||||||||
−5.38317e6 | + | 9.32393e6i | −1.17550 | + | 2.03603i | |||||
3.15039e6 | − | 3.59886e6i | 0.658669 | − | 0.752433i | |||||
−3.92177e6 | + | 2.26423e6i | −0.785477 | + | 0.453495i | |||||
−4.44416e6 | −0.853133 | −0.426566 | − | 0.904456i | ||||||
−0.426566 | + | 0.904456i | ||||||||
1.58966e6 | + | 3.27670e6i | 0.292636 | + | 0.603197i | |||||
1.12033e7 | 1.97870 | |||||||||
600116. | − | 346477.i | 0.101740 | − | 0.0587395i | |||||
1.83675e6 | − | 397132.i | 0.299042 | − | 0.0646574i | |||||
−585529. | + | 1.01417e6i | −0.0915923 | + | 0.158642i | |||||
−737221. | − | 1.27690e6i | −0.110849 | − | 0.191996i | 0.805264 | − | 0.592917i | ||
−0.916113 | + | 0.400920i | ||||||||
1.71294e7 | + | 1.67931e6i | 2.47681 | + | 0.242819i | |||||
282955. | − | 270204.i | 0.0393615 | − | 0.0375879i | |||||
− | 2.64356e6i | − | 0.353942i | |||||||
−414861. | + | 1.29217e6i | −0.0534825 | + | 0.166582i | |||||
−9.11834e6 | − | 5.26447e6i | −1.13232 | − | 0.653744i | |||||
1.24338e7 | + | 7.17867e6i | 1.48789 | + | 0.859036i | |||||
3.05288e6 | − | 9.50883e6i | 0.352177 | − | 1.09693i | |||||
8.19557e6i | 0.911755i | 0.890043 | + | 0.455877i | ||||||
−0.890043 | + | 0.455877i | ||||||||
−5.53419e6 | − | 1.06952e7i | −0.593968 | − | 1.14788i | |||||
4.13217e6 | + | 405106.i | 0.428011 | + | 0.0419610i | |||||
9.07682e6 | + | 1.57215e7i | 0.907682 | + | 1.57215i | |||||
6.76207e6 | − | 1.17123e7i | 0.653063 | − | 1.13114i | −0.329313 | − | 0.944221i | ||
0.982376 | − | 0.186917i | ||||||||
−1.39129e7 | + | 3.00818e6i | −1.29813 | + | 0.280675i | |||||
8.19802e6 | − | 4.73313e6i | 0.739228 | − | 0.426794i | −0.0825603 | − | 0.996586i | ||
0.821789 | + | 0.569792i | ||||||||
−265937. | −0.0231826 | |||||||||
−2.27821e7 | − | 1.64105e6i | −1.92057 | − | 0.138344i | |||||
−1.14763e7 | −0.935906 | |||||||||
−170692. | + | 98549.2i | −0.0134701 | + | 0.00777696i | −0.506720 | − | 0.862111i | ||
0.493250 | + | 0.869888i | ||||||||
−8.71868e6 | + | 1.00897e6i | −0.665990 | + | 0.0770714i | |||||
924586. | − | 1.60143e6i | 0.0683840 | − | 0.118445i | −0.829806 | − | 0.558052i | ||
0.898190 | + | 0.439607i | ||||||||
7.47044e6 | + | 1.29392e7i | 0.535145 | + | 0.926899i | |||||
9.94251e6 | − | 9.01544e6i | 0.690026 | − | 0.625686i | |||||
−5.10131e6 | + | 1.74221e7i | −0.343098 | + | 1.17175i | |||||
− | 1.54177e7i | − | 1.00518i | −0.864525 | − | 0.502590i | ||||
0.864525 | − | 0.502590i | ||||||||
−1.73686e7 | − | 5.57632e6i | −1.09799 | − | 0.352518i | |||||
1.43583e7 | + | 8.28979e6i | 0.880362 | + | 0.508277i | |||||
−2.98637e6 | − | 1.72418e6i | −0.177640 | − | 0.102561i | |||||
389519. | + | 858659.i | 0.0224842 | + | 0.0495645i | |||||
− | 1.44752e7i | − | 0.811029i | |||||||
1.83545e7 | − | 4.46740e6i | 0.998452 | − | 0.243019i | |||||
1.04289e7 | + | 1.15013e7i | 0.550938 | + | 0.607592i | |||||
−7.94147e6 | − | 1.37550e7i | −0.407523 | − | 0.705850i | |||||
−1.09980e7 | + | 1.90491e7i | −0.548345 | + | 0.949761i | |||||
3.06069e6 | + | 1.41558e7i | 0.148304 | + | 0.685909i | |||||
2.15673e6 | − | 1.24519e6i | 0.101583 | − | 0.0586488i | |||||
−7.18062e7 | −3.28834 | |||||||||
2.87328e7 | − | 4.07923e6i | 1.27962 | − | 0.181669i | |||||
−1.74020e7 | −0.753853 | −0.376926 | − | 0.926243i | ||||||
−0.376926 | + | 0.926243i | ||||||||
1.65540e7 | − | 9.55744e6i | 0.697698 | − | 0.402816i | |||||
−468353. | − | 2.16615e6i | −0.0192092 | − | 0.0888432i | |||||
−1.69647e6 | + | 2.93838e6i | −0.0677244 | + | 0.117302i | |||||
2.28229e7 | + | 3.95304e7i | 0.886995 | + | 1.53632i | 0.843410 | + | 0.537270i | ||
0.0435843 | + | 0.999050i | ||||||||
−5.11787e6 | − | 5.64415e6i | −0.193678 | − | 0.213594i | |||||
2.32330e7 | + | 6.80280e6i | 0.856297 | + | 0.250730i | |||||
− | 2.91682e7i | − | 1.04723i | |||||||
2.18602e7 | − | 5.05188e7i | 0.764692 | − | 1.76720i | |||||
−1.11198e7 | − | 6.42003e6i | −0.379063 | − | 0.218852i | |||||
−2.55140e7 | − | 1.47305e7i | −0.847728 | − | 0.489436i | 0.0121555 | − | 0.999926i | ||
−0.859884 | + | 0.510490i | ||||||||
−2.00569e7 | − | 6.43943e6i | −0.649662 | − | 0.208579i | |||||
6.02035e7i | 1.90138i | 0.310136 | + | 0.950692i | ||||||
−0.310136 | + | 0.950692i | ||||||||
2.89468e7 | + | 3.03128e7i | 0.891565 | + | 0.933636i | |||||
−2.49454e7 | + | 2.26194e7i | −0.749417 | + | 0.679539i | |||||
−4.91925e6 | − | 8.52039e6i | −0.144175 | − | 0.249718i | |||||
−409246. | + | 708834.i | −0.0117033 | + | 0.0202707i | |||||
−3.55726e7 | − | 2.54668e7i | −0.992767 | − | 0.710731i | |||||
1.87295e7 | − | 1.08135e7i | 0.510199 | − | 0.294563i | |||||
5.39761e7 | 1.43538 | |||||||||
−3.79785e7 | + | 6.39599e6i | −0.986114 | + | 0.166072i | |||||
−2.46284e7 | −0.624484 | |||||||||
−9.02712e6 | + | 5.21181e6i | −0.223562 | + | 0.129073i | −0.607598 | − | 0.794244i | ||
0.384037 | + | 0.923318i | ||||||||
1.41391e8 | − | 3.05707e7i | 3.42059 | − | 0.739582i | |||||
1.90839e7 | − | 3.30543e7i | 0.451074 | − | 0.781283i | −0.547379 | − | 0.836885i | ||
0.998453 | + | 0.0556021i | ||||||||
−8.22746e6 | − | 1.42504e7i | −0.190026 | − | 0.329135i | |||||
−4.44179e6 | + | 4.53072e7i | −0.100262 | + | 1.02270i | |||||
1.73985e7 | + | 1.82195e7i | 0.383874 | + | 0.401988i | |||||
1.56188e7i | 0.336889i | |||||||||
528905. | − | 1.64738e6i | 0.0111543 | − | 0.0347423i | |||||
−4.74464e7 | − | 2.73932e7i | −0.978486 | − | 0.564929i | −0.0766733 | − | 0.997056i | ||
−0.901813 | + | 0.432127i | ||||||||
−1.58686e7 | − | 9.16171e6i | −0.320065 | − | 0.184789i | |||||
−1.12198e7 | + | 3.49465e7i | −0.221359 | + | 0.689468i | |||||
− | 1.14936e8i | − | 2.21838i | |||||||
2.68290e7 | + | 7.85573e6i | 0.506657 | + | 0.148353i | |||||
−1.35826e7 | + | 6.86071e7i | −0.251004 | + | 1.26785i | |||||
3.01449e7 | + | 5.22125e7i | 0.545202 | + | 0.944317i | 0.998594 | + | 0.0530060i | ||
−0.453393 | + | 0.891311i | ||||||||
1.32883e7 | − | 2.30159e7i | 0.235242 | − | 0.407451i | |||||
4.67046e7 | − | 1.00982e7i | 0.809405 | − | 0.175005i | |||||
5.62782e7 | − | 3.24922e7i | 0.954909 | − | 0.551317i | |||||
3.16225e7 | 0.525398 | 0.262699 | − | 0.964878i | ||||||
0.262699 | + | 0.964878i | ||||||||
2.16719e7 | + | 1.46841e7i | 0.352627 | + | 0.238926i | |||||
6.25626e7 | 0.997038 | |||||||||
−1.41872e8 | + | 8.19097e7i | −2.21475 | + | 1.27869i | |||||
−3.39609e7 | + | 4.74375e7i | −0.519389 | + | 0.725496i | |||||
−2.03339e6 | + | 3.52194e6i | −0.0304699 | + | 0.0527755i | |||||
1.77562e6 | + | 3.07546e6i | 0.0260729 | + | 0.0451595i | 0.878767 | − | 0.477250i | ||
−0.852695 | + | 0.522410i | ||||||||
−2.03560e7 | + | 1.84579e7i | −0.292934 | + | 0.265620i | |||||
−1.86528e8 | + | 4.54001e7i | −2.63093 | + | 0.640358i | |||||
− | 3.79774e7i | − | 0.525087i | |||||||
−4.40783e7 | − | 1.41517e7i | −0.597473 | − | 0.191823i | |||||
1.86714e7 | + | 1.07800e7i | 0.248146 | + | 0.143267i | |||||
−7.62456e7 | − | 4.40204e7i | −0.993641 | − | 0.573679i | −0.0872803 | − | 0.996184i | ||
−0.906361 | + | 0.422505i | ||||||||
−9.19877e7 | + | 4.17290e7i | −1.17564 | + | 0.533315i | |||||
− | 1.12564e8i | − | 1.41099i | −0.708714 | − | 0.705496i | ||||
0.708714 | − | 0.705496i | ||||||||
−1.60765e6 | + | 5.49045e6i | −0.0197670 | + | 0.0675084i | |||||
4.72541e7 | + | 5.21133e7i | 0.569982 | + | 0.628594i | |||||
−9.50090e6 | − | 1.64560e7i | −0.112435 | − | 0.194744i | |||||
7.72308e7 | − | 1.33768e8i | 0.896787 | − | 1.55328i | |||||
−4.19379e6 | − | 1.93964e7i | −0.0477872 | − | 0.221017i | |||||
−3.42242e7 | + | 1.97593e7i | −0.382726 | + | 0.220967i | |||||
6.17919e7 | 0.678233 | |||||||||
1.56690e7 | − | 9.14824e7i | 0.168821 | − | 0.985647i | |||||
−2.09939e8 | −2.22053 | |||||||||
7.36326e7 | − | 4.25118e7i | 0.764633 | − | 0.441461i | −0.0663235 | − | 0.997798i | ||
0.830957 | + | 0.556337i | ||||||||
5.55566e6 | + | 2.56951e7i | 0.0566476 | + | 0.261997i | |||||
9.02429e7 | − | 1.56305e8i | 0.903571 | − | 1.56503i | 0.0807470 | − | 0.996735i | ||
0.822824 | − | 0.568296i | ||||||||
−5.99196e7 | − | 1.03784e8i | −0.589200 | − | 1.02052i | |||||
7.28909e6 | + | 8.03864e6i | 0.0703967 | + | 0.0776357i | |||||
5.95113e7 | + | 3.81189e7i | 0.564551 | + | 0.361613i | |||||
2.09911e8i | 1.95616i | 0.208239 | + | 0.978078i | ||||||
−0.208239 | + | 0.978078i | ||||||||
−5.52892e7 | + | 2.50812e7i | −0.506188 | + | 0.229625i | |||||
1.26959e8 | + | 7.32997e7i | 1.14203 | + | 0.659350i | 0.946932 | − | 0.321434i | ||
0.195096 | + | 0.980784i | ||||||||
1.13005e8 | + | 6.52437e7i | 0.998836 | + | 0.576678i | |||||
−8.88202e7 | − | 2.85164e7i | −0.771481 | − | 0.247690i | |||||
1.97756e8i | 1.68811i | |||||||||
2.63728e7 | − | 2.51844e7i | 0.221269 | − | 0.211298i | |||||
6.18853e7 | − | 5.61149e7i | 0.510366 | − | 0.462778i | |||||
8.33396e7 | + | 1.44348e8i | 0.675636 | + | 1.17024i | |||||
−6.92099e7 | + | 1.19875e8i | −0.551611 | + | 0.955418i | |||||
−3.92174e7 | + | 5.47799e7i | −0.307314 | + | 0.429264i | |||||
7.46890e6 | − | 4.31217e6i | 0.0575486 | − | 0.0332257i | |||||
−5.06443e7 | −0.383724 | |||||||||
3.00497e8 | − | 1.45784e8i | 2.23909 | − | 1.08628i | |||||
1.44961e8 | 1.06233 | 0.531167 | − | 0.847267i | ||||||
0.531167 | + | 0.847267i | ||||||||
5.83284e7 | − | 3.36759e7i | 0.420440 | − | 0.242741i | |||||
−3.07548e7 | + | 6.64963e6i | −0.218064 | + | 0.0471486i | |||||
1.44103e6 | − | 2.49594e6i | 0.0100514 | − | 0.0174095i | |||||
−1.27528e7 | − | 2.20885e7i | −0.0875125 | − | 0.151576i | |||||
−5.06471e7 | + | 3.76155e7i | −0.341953 | + | 0.253968i | |||||
6.22812e6 | + | 2.55884e7i | 0.0413760 | + | 0.169994i | |||||
2.70394e7i | 0.176766i | |||||||||
5.27699e7 | − | 1.64363e8i | 0.339494 | − | 1.05742i | |||||
−7.59370e7 | − | 4.38423e7i | −0.480811 | − | 0.277596i | |||||
−7.77202e6 | − | 4.48718e6i | −0.0484352 | − | 0.0279640i | |||||
−5.99921e7 | + | 1.86858e8i | −0.368009 | + | 1.14624i | |||||
− | 1.90116e8i | − | 1.14803i | −0.818846 | − | 0.574013i | ||||
0.818846 | − | 0.574013i | ||||||||
−4.58316e7 | − | 1.88300e8i | −0.272456 | − | 1.11939i | |||||
4.51398e7 | − | 4.60436e8i | 0.264193 | − | 2.69482i | |||||
1.12722e8 | + | 1.95240e8i | 0.649575 | + | 1.12510i | |||||
−2.24577e7 | + | 3.88979e7i | −0.127431 | + | 0.220717i | −0.922681 | − | 0.385565i | ||
0.795250 | + | 0.606282i | ||||||||
1.04639e8 | − | 2.26245e7i | 0.584685 | − | 0.126417i | |||||
−7.11671e7 | + | 4.10883e7i | −0.391611 | + | 0.226097i | −0.682858 | − | 0.730551i | ||
0.291247 | + | 0.956648i | ||||||||
−2.42434e8 | −1.31385 | |||||||||
7.24898e7 | − | 3.51678e7i | 0.386932 | − | 0.187717i | |||||
−2.47867e7 | −0.130320 | |||||||||
3.15260e7 | − | 1.82015e7i | 0.163276 | − | 0.0942676i | −0.416135 | − | 0.909303i | ||
0.579412 | + | 0.815035i | ||||||||
−1.12105e7 | − | 8.02569e6i | −0.0571964 | − | 0.0409474i | |||||
−1.93769e8 | + | 3.35618e8i | −0.973974 | + | 1.68697i | |||||
4.24756e7 | + | 7.35700e7i | 0.210353 | + | 0.364341i | |||||
−4.34123e7 | + | 3.93644e7i | −0.211833 | + | 0.192081i | |||||
−1.99768e8 | + | 1.90766e8i | −0.960519 | + | 0.917236i | |||||
1.04151e8i | 0.493482i | 0.969081 | + | 0.246741i | ||||||
−0.969081 | + | 0.246741i | ||||||||
−4.79391e8 | − | 1.53912e8i | −2.23846 | − | 0.718676i | |||||
−2.43431e8 | − | 1.40545e8i | −1.12025 | − | 0.646778i | −0.178787 | − | 0.983888i | ||
−0.941465 | + | 0.337110i | ||||||||
2.01132e8 | + | 1.16124e8i | 0.912278 | + | 0.526704i | |||||
1.95636e8 | + | 1.08434e8i | 0.874636 | + | 0.484780i | |||||
− | 1.29089e8i | − | 0.568886i | |||||||
−3.93658e8 | + | 2.03697e8i | −1.71016 | + | 0.884918i | |||||
−1.42255e8 | − | 1.56883e8i | −0.609249 | − | 0.671899i | |||||
−5.75044e6 | − | 9.96006e6i | −0.0242807 | − | 0.0420555i | |||||
8.95034e6 | − | 1.55024e7i | 0.0372614 | − | 0.0645386i | |||||
−4.39216e7 | − | 2.03139e8i | −0.180294 | − | 0.833864i | |||||
9.09311e8 | − | 5.24991e8i | 3.68063 | − | 2.12501i | |||||
3.23864e8 | 1.29272 | 0.646360 | − | 0.763033i | ||||||
0.646360 | + | 0.763033i | ||||||||
−1.34065e8 | + | 1.05046e8i | −0.527730 | + | 0.413501i | |||||
−5.84831e7 | −0.227043 | |||||||||
2.20369e8 | − | 1.27230e8i | 0.843785 | − | 0.487160i | |||||
1.10722e8 | + | 5.12093e8i | 0.418161 | + | 1.93401i | |||||
−1.75730e8 | + | 3.04374e8i | −0.654646 | + | 1.13388i | |||||
1.00340e8 | + | 1.73794e8i | 0.368729 | + | 0.638657i | 0.989367 | − | 0.145440i | ||
−0.620638 | + | 0.784097i | ||||||||
2.17681e7 | + | 2.40066e7i | 0.0789136 | + | 0.0870284i | |||||
7.31870e7 | − | 2.49949e8i | 0.261749 | − | 0.893928i | |||||
− | 1.99124e7i | − | 0.0702614i | |||||||
3.63052e7 | + | 8.00314e7i | 0.126394 | + | 0.278624i | |||||
−5.78031e8 | − | 3.33726e8i | −1.98562 | − | 1.14640i | |||||
−3.72853e8 | − | 2.15267e8i | −1.26384 | − | 0.729679i | −0.290025 | − | 0.957019i | ||
−0.973815 | + | 0.227340i | ||||||||
−5.21434e7 | − | 1.67410e7i | −0.174416 | − | 0.0559975i | |||||
4.22408e8i | 1.39435i | |||||||||
−3.43945e8 | + | 8.37149e7i | −1.12048 | + | 0.272720i | |||||
5.10802e7 | − | 4.63174e7i | 0.164234 | − | 0.148920i | |||||
8.55907e7 | + | 1.48247e8i | 0.271616 | + | 0.470452i | |||||
1.21334e8 | − | 2.10157e8i | 0.380058 | − | 0.658280i | −0.611012 | − | 0.791621i | ||
0.991070 | + | 0.133342i | ||||||||
9.25293e7 | + | 7.99565e8i | 0.286092 | + | 2.47218i | |||||
−1.27614e8 | + | 7.36782e7i | −0.389500 | + | 0.224878i | −0.681943 | − | 0.731405i | ||
0.292444 | + | 0.956283i | ||||||||
4.16403e8 | 1.25465 | |||||||||
1.51473e7 | + | 1.02632e7i | 0.0450572 | + | 0.0305290i | |||||
4.30792e8 | 1.26515 | |||||||||
3.47804e8 | − | 2.00805e8i | 1.00849 | − | 0.582250i | |||||
1.20835e8 | − | 2.61263e7i | 0.345948 | − | 0.0747991i | |||||
2.57551e8 | − | 4.46092e8i | 0.728089 | − | 1.26109i | −0.229602 | − | 0.973285i | ||
0.957690 | − | 0.287802i | ||||||||
−4.40161e8 | − | 7.62381e8i | −1.22872 | − | 2.12821i | |||||
−6.31641e7 | − | 6.19242e6i | −0.174123 | − | 0.0170705i | |||||
2.89136e8 | + | 8.46612e7i | 0.787135 | + | 0.230479i | |||||
− | 3.74214e8i | − | 1.00612i | −0.864253 | − | 0.503058i | ||||
0.864253 | − | 0.503058i | ||||||||
1.50518e8 | − | 4.68820e8i | 0.399684 | − | 1.24490i | |||||
−3.25535e8 | − | 1.87948e8i | −0.853778 | − | 0.492929i | 0.00814601 | − | 0.999967i | ||
−0.861924 | + | 0.507038i | ||||||||
5.00042e7 | + | 2.88699e7i | 0.129536 | + | 0.0747879i | |||||
−2.05248e8 | + | 6.39286e8i | −0.525195 | + | 1.63583i | |||||
− | 1.19683e7i | − | 0.0302519i | |||||||
1.94096e8 | + | 2.03255e8i | 0.484652 | + | 0.507522i | |||||
4.64812e8 | + | 4.55689e7i | 1.14658 | + | 0.112407i | |||||
−1.14821e7 | − | 1.98876e7i | −0.0279820 | − | 0.0484663i | |||||
−1.58120e8 | + | 2.73872e8i | −0.380709 | + | 0.659408i | |||||
−3.74613e8 | + | 8.09968e7i | −0.891162 | + | 0.192682i | |||||
−2.74334e8 | + | 1.58387e8i | −0.644821 | + | 0.372288i | |||||
−1.82974e7 | −0.0424964 | −0.0212482 | − | 0.999774i | ||||||
−0.0212482 | + | 0.999774i | ||||||||
4.34174e8 | − | 3.58664e8i | 0.996434 | − | 0.823137i | |||||
−5.32787e8 | −1.20830 | |||||||||
−1.53311e8 | + | 8.85140e7i | −0.343599 | + | 0.198377i | |||||
2.23212e7 | + | 1.92882e8i | 0.0494389 | + | 0.427212i | |||||
7.62093e7 | − | 1.31998e8i | 0.166821 | − | 0.288943i | |||||
−6.64050e6 | − | 1.15017e7i | −0.0143665 | − | 0.0248835i | |||||
−6.28911e8 | + | 5.70269e8i | −1.34482 | + | 1.21943i | |||||
−2.97009e7 | − | 3.11024e7i | −0.0627751 | − | 0.0657373i | |||||
5.58106e8i | 1.16598i | |||||||||
6.02187e8 | + | 1.93336e8i | 1.24360 | + | 0.399268i | |||||
4.62140e8 | + | 2.66817e8i | 0.943443 | + | 0.544697i | |||||
7.01139e8 | + | 4.04803e8i | 1.41499 | + | 0.816947i | |||||
−2.75003e8 | − | 6.06218e8i | −0.548671 | − | 1.20950i | |||||
− | 6.99449e8i | − | 1.37966i | −0.723972 | − | 0.689830i | ||||
0.723972 | − | 0.689830i | ||||||||
−1.41891e8 | − | 4.15467e7i | −0.276711 | − | 0.0810231i | |||||
2.97368e8 | + | 3.27947e8i | 0.573376 | + | 0.632338i | |||||
−1.14193e8 | − | 1.97787e8i | −0.217707 | − | 0.377079i | |||||
−2.11777e8 | + | 3.66808e8i | −0.399224 | + | 0.691476i | −0.993630 | − | 0.112689i | ||
0.594406 | + | 0.804165i | ||||||||
−2.62825e6 | − | 1.21557e7i | −0.00489921 | − | 0.0226590i | |||||
2.91296e8 | − | 1.68180e8i | 0.536944 | − | 0.310005i | −0.206895 | − | 0.978363i | ||
0.743840 | + | 0.668358i | ||||||||
8.01111e8 | 1.46029 | |||||||||
−1.50144e8 | − | 1.05757e9i | −0.270658 | − | 1.90643i | |||||
1.07536e8 | 0.191712 | |||||||||
−5.98493e8 | + | 3.45540e8i | −1.05524 | + | 0.609244i | −0.924112 | − | 0.382121i | ||
−0.131129 | + | 0.991365i | ||||||||
−1.13420e8 | − | 5.24573e8i | −0.197786 | − | 0.914768i | |||||
−3.81438e7 | + | 6.60669e7i | −0.0657894 | + | 0.113951i | |||||
1.51275e8 | + | 2.62016e8i | 0.258073 | + | 0.446995i | |||||
−6.19155e6 | − | 6.82823e6i | −0.0104480 | − | 0.0115223i | |||||
−3.97181e8 | + | 9.66723e7i | −0.662969 | + | 0.161364i | |||||
− | 5.55290e8i | − | 0.916877i | |||||||
−1.32286e8 | − | 3.88552e8i | −0.216075 | − | 0.634661i | |||||
7.89833e7 | + | 4.56010e7i | 0.127627 | + | 0.0736856i | |||||
−7.63474e8 | − | 4.40792e8i | −1.22049 | − | 0.704647i | |||||
8.23377e7 | + | 2.64351e7i | 0.130221 | + | 0.0418085i | |||||
− | 1.91031e8i | − | 0.298913i | |||||||
−1.83624e8 | + | 6.27114e8i | −0.284278 | + | 0.970869i | |||||
−5.17609e8 | + | 4.69345e8i | −0.792872 | + | 0.718942i | |||||
4.28091e8 | + | 7.41475e8i | 0.648840 | + | 1.12382i | 0.983400 | + | 0.181450i | ||
−0.334560 | + | 0.942374i | ||||||||
−1.90689e8 | + | 3.30284e8i | −0.285985 | + | 0.495340i | |||||
5.10350e8 | + | 3.65364e8i | 0.757379 | + | 0.542214i | |||||
−4.00448e8 | + | 2.31199e8i | −0.588077 | + | 0.339526i | |||||
−1.07359e9 | −1.56021 | |||||||||
−8.46764e8 | − | 6.09945e7i | −1.21780 | − | 0.0877210i | |||||
−8.30714e8 | −1.18235 | −0.591176 | − | 0.806542i | ||||||
−0.591176 | + | 0.806542i | ||||||||
−7.92256e8 | + | 4.57409e8i | −1.11598 | + | 0.644312i | |||||
7.04729e8 | − | 1.52373e8i | 0.982478 | − | 0.212426i | |||||
4.80709e8 | − | 8.32612e8i | 0.663293 | − | 1.14886i | |||||
−2.75470e7 | − | 4.77129e7i | −0.0376214 | − | 0.0651621i | |||||
8.32351e7 | − | 8.49015e8i | 0.112516 | − | 1.14769i | |||||
−5.63708e8 | + | 4.90693e8i | −0.754266 | + | 0.656569i | |||||
2.92318e7i | 0.0387170i | |||||||||
−2.37016e8 | + | 7.38235e8i | −0.310749 | + | 0.967894i | |||||
−4.49708e7 | − | 2.59639e7i | −0.0583666 | − | 0.0336979i | |||||
9.93989e7 | + | 5.73880e7i | 0.127711 | + | 0.0737340i | 0.562495 | − | 0.826801i | ||
−0.434783 | + | 0.900535i | ||||||||
4.92966e7 | − | 1.53545e8i | 0.0627032 | − | 0.195302i | |||||
− | 2.74148e8i | − | 0.345220i | −0.984990 | − | 0.172610i | ||||
0.984990 | − | 0.172610i | ||||||||
2.03014e9 | − | 1.93866e9i | 2.53098 | − | 2.41693i | |||||
−3.53990e7 | + | 2.62907e7i | −0.0436934 | + | 0.0324510i | |||||
2.02713e8 | + | 3.51110e8i | 0.247733 | + | 0.429085i | |||||
6.24059e8 | − | 1.08090e9i | 0.755117 | − | 1.30790i | −0.190199 | − | 0.981746i | ||
0.945316 | − | 0.326155i | ||||||||
6.61647e8 | − | 1.43058e8i | 0.792711 | − | 0.171396i | |||||
−3.13610e8 | + | 1.81063e8i | −0.372041 | + | 0.214798i | |||||
−1.26530e8 | −0.148634 | |||||||||
3.85598e8 | + | 7.94815e8i | 0.448535 | + | 0.924544i | |||||
1.28737e9 | 1.48291 | |||||||||
−5.32474e8 | + | 3.07424e8i | −0.607391 | + | 0.350677i | −0.771943 | − | 0.635691i | ||
0.164553 | + | 0.986368i | ||||||||
−4.22646e8 | + | 5.90362e8i | −0.477439 | + | 0.666899i | |||||
−9.11257e7 | + | 1.57834e8i | −0.101945 | + | 0.176574i | |||||
8.22980e8 | + | 1.42544e9i | 0.911820 | + | 1.57932i | |||||
5.50245e8 | − | 4.98938e8i | 0.603786 | − | 0.547487i | |||||
−7.94022e6 | − | 3.26226e7i | −0.00862934 | − | 0.0354539i | |||||
− | 1.98670e9i | − | 2.13849i | |||||||
−9.79410e8 | − | 3.14447e8i | −1.04419 | − | 0.335246i | |||||
4.65901e8 | + | 2.68988e8i | 0.491997 | + | 0.284055i | 0.725403 | − | 0.688325i | ||
−0.233406 | + | 0.972379i | ||||||||
5.33670e8 | + | 3.08114e8i | 0.558220 | + | 0.322288i | |||||
−6.16801e8 | + | 2.79803e8i | −0.639077 | + | 0.289908i | |||||
2.25860e9i | 2.31811i | |||||||||
1.68439e8 | + | 6.92036e8i | 0.171251 | + | 0.703590i | |||||
7.82314e7 | + | 8.62760e7i | 0.0787917 | + | 0.0868940i | |||||
5.39544e8 | + | 9.34518e8i | 0.538327 | + | 0.932409i | 0.998994 | + | 0.0448366i | ||
−0.460668 | + | 0.887573i | ||||||||
2.88930e8 | − | 5.00441e8i | 0.285589 | − | 0.494655i | |||||
−7.09661e8 | − | 3.28220e9i | −0.694930 | − | 3.21407i | |||||
3.84651e8 | − | 2.22079e8i | 0.373173 | − | 0.215451i | |||||
−1.73242e7 | −0.0166517 | |||||||||
4.70425e8 | + | 1.27304e9i | 0.447990 | + | 1.21233i | |||||
1.22890e9 | 1.15952 | 0.579761 | − | 0.814787i | ||||||
0.579761 | + | 0.814787i | ||||||||
1.06702e9 | − | 6.16042e8i | 0.997535 | − | 0.575927i | |||||
−1.71984e8 | − | 7.95431e8i | −0.159313 | − | 0.736827i | |||||
−6.21626e8 | + | 1.07669e9i | −0.570568 | + | 0.988253i | |||||
−5.18994e8 | − | 8.98924e8i | −0.472027 | − | 0.817574i | 0.527461 | − | 0.849579i | ||
−0.999488 | + | 0.0320050i | ||||||||
6.00465e8 | + | 6.62212e8i | 0.541164 | + | 0.596812i | |||||
6.70604e8 | − | 6.40386e8i | 0.598899 | − | 0.571912i | |||||
2.63914e9i | 2.33565i | |||||||||
9.43840e7 | − | 4.28160e7i | 0.0827771 | − | 0.0375507i | |||||
6.09083e8 | + | 3.51654e8i | 0.529377 | + | 0.305636i | |||||
−4.61824e8 | − | 2.66634e8i | −0.397790 | − | 0.229664i | 0.287740 | − | 0.957708i | ||
−0.685530 | + | 0.728045i | ||||||||
−1.51077e8 | − | 4.85044e7i | −0.128965 | − | 0.0414052i | |||||
− | 6.41238e8i | − | 0.542501i | |||||||
5.07453e8 | + | 2.34060e7i | 0.425495 | + | 0.0196257i | |||||
−1.58134e9 | + | 1.43389e9i | −1.31417 | + | 1.19163i | |||||
−1.53471e9 | − | 2.65819e9i | −1.26412 | − | 2.18952i | |||||
−3.37215e8 | + | 5.84073e8i | −0.275307 | + | 0.476845i | |||||
2.07409e8 | − | 2.89715e8i | 0.167840 | − | 0.234443i | |||||
−9.29738e8 | + | 5.36785e8i | −0.745751 | + | 0.430560i | −0.824157 | − | 0.566362i | ||
0.0784055 | + | 0.996922i | ||||||||
−2.14364e9 | −1.70436 | |||||||||
−8.13386e7 | + | 1.12919e9i | −0.0641049 | + | 0.889944i | |||||
−4.23171e9 | −3.30602 | |||||||||
1.98658e9 | − | 1.14695e9i | 1.53851 | − | 0.888262i | 0.539588 | − | 0.841929i | ||
0.998926 | − | 0.0463328i | ||||||||
1.33325e9 | − | 2.88269e8i | 1.02358 | − | 0.221313i | |||||
6.25569e6 | − | 1.08352e7i | 0.00476111 | − | 0.00824648i | |||||
−5.80291e8 | − | 1.00509e9i | −0.437836 | − | 0.758354i | |||||
2.52522e9 | + | 4.99935e8i | 1.88889 | + | 0.373957i | |||||
−1.49841e8 | + | 5.11738e8i | −0.111119 | + | 0.379495i | |||||
5.44851e8i | 0.400587i | |||||||||
1.83557e8 | − | 5.71727e8i | 0.133801 | − | 0.416752i | |||||
1.47920e9 | + | 8.54019e8i | 1.06905 | + | 0.617214i | 0.927921 | − | 0.372777i | ||
0.141126 | + | 0.989992i | ||||||||
−2.11072e9 | − | 1.21863e9i | −1.51247 | − | 0.873228i | |||||
4.21165e8 | − | 1.31180e9i | 0.299230 | − | 0.932015i | |||||
− | 8.12353e8i | − | 0.572274i | |||||||
−8.72869e8 | + | 2.12453e8i | −0.609711 | + | 0.148401i | |||||
9.61182e7 | − | 9.80426e8i | 0.0665740 | − | 0.679069i | |||||
−1.19594e9 | − | 2.07143e9i | −0.821375 | − | 1.42266i | |||||
−4.60345e7 | + | 7.97340e7i | −0.0313514 | + | 0.0543021i | |||||
−2.75185e9 | + | 5.94991e8i | −1.85844 | + | 0.401822i | |||||
6.41330e8 | − | 3.70272e8i | 0.429501 | − | 0.247973i | |||||
−1.93716e9 | −1.28652 | −0.643261 | − | 0.765647i | ||||||
−0.643261 | + | 0.765647i | ||||||||
−1.09949e9 | + | 1.62272e9i | −0.724134 | + | 1.06874i | |||||
2.15401e9 | 1.40689 | 0.703447 | − | 0.710748i | ||||||
0.703447 | + | 0.710748i | ||||||||
−1.83569e9 | + | 1.05984e9i | −1.18907 | + | 0.686509i | |||||
−1.28045e9 | − | 9.16686e8i | −0.822567 | − | 0.588883i | |||||
2.42061e8 | − | 4.19261e8i | 0.154221 | − | 0.267119i | |||||
2.20173e9 | + | 3.81350e9i | 1.39124 | + | 2.40970i | |||||
3.40843e8 | − | 3.09062e8i | 0.213610 | − | 0.193692i | |||||
1.31010e9 | + | 3.83607e8i | 0.814342 | + | 0.238446i | |||||
1.69141e7i | 0.0104279i | |||||||||
−3.64448e7 | − | 1.17009e7i | −0.0222861 | − | 0.00715513i | |||||
3.22987e8 | + | 1.86477e8i | 0.195905 | + | 0.113106i | |||||
2.52692e9 | + | 1.45892e9i | 1.52027 | + | 0.877729i | 0.999714 | + | 0.0239018i | ||
0.520557 | + | 0.853827i | ||||||||
8.12500e8 | − | 1.87768e9i | 0.484876 | − | 1.12054i | |||||
− | 1.75910e9i | − | 1.04132i | −0.853765 | − | 0.520659i | ||||
0.853765 | − | 0.520659i | ||||||||
−2.65952e8 | − | 2.78502e8i | −0.156167 | − | 0.163536i | |||||
6.79380e8 | + | 7.49242e8i | 0.395731 | + | 0.436425i | |||||
−7.93439e7 | − | 1.37428e8i | −0.0458470 | − | 0.0794093i | |||||
4.10883e8 | − | 7.11669e8i | 0.235523 | − | 0.407937i | |||||
5.33446e8 | + | 2.46720e9i | 0.303341 | + | 1.40296i | |||||
−1.10932e9 | + | 6.40468e8i | −0.625795 | + | 0.361303i | −0.779122 | − | 0.626873i | ||
0.153327 | + | 0.988176i | ||||||||
−6.30272e8 | −0.352731 | |||||||||
−6.67696e8 | − | 1.67275e9i | −0.370718 | − | 0.928745i | |||||
1.31227e8 | 0.0722844 | |||||||||
1.15271e9 | − | 6.65519e8i | 0.629953 | − | 0.363703i | −0.150781 | − | 0.988567i | ||
0.780734 | + | 0.624864i | ||||||||
−2.43403e8 | − | 1.12575e9i | −0.131973 | − | 0.610379i | |||||
3.96778e8 | − | 6.87239e8i | 0.213446 | − | 0.369699i | |||||
1.38998e9 | + | 2.40751e9i | 0.741884 | + | 1.28498i | |||||
−3.27442e8 | − | 3.61114e8i | −0.173404 | − | 0.191235i | |||||
3.52316e8 | + | 3.68941e8i | 0.185123 | + | 0.193858i | |||||
9.16466e8i | 0.477809i | 0.971043 | + | 0.238905i | ||||||
−0.971043 | + | 0.238905i | ||||||||
2.79472e9 | + | 6.16071e9i | 1.44576 | + | 3.18704i | |||||
−5.09177e8 | − | 2.93974e8i | −0.261367 | − | 0.150900i | |||||
−1.14582e9 | − | 6.61539e8i | −0.583621 | − | 0.336954i | |||||
1.69949e9 | + | 5.45633e8i | 0.858963 | + | 0.275776i | |||||
− | 6.56773e8i | − | 0.329397i | |||||||
2.02087e8 | + | 5.91726e7i | 0.100577 | + | 0.0294497i | |||||
5.70060e8 | − | 5.16906e8i | 0.281542 | − | 0.255291i | |||||
−3.22049e8 | − | 5.57805e8i | −0.157839 | − | 0.273386i | 0.776250 | − | 0.630425i | ||
−0.934089 | + | 0.357040i | ||||||||
6.00811e8 | − | 1.04064e9i | 0.292219 | − | 0.506139i | |||||
−2.11485e9 | + | 2.44740e8i | −1.02079 | + | 0.118130i | |||||
1.23217e9 | − | 7.11393e8i | 0.590225 | − | 0.340767i | |||||
1.81792e9 | 0.864215 | 0.432108 | − | 0.901822i | ||||||
0.432108 | + | 0.901822i | ||||||||
−6.60848e8 | + | 9.75333e8i | −0.311785 | + | 0.460157i | |||||
−1.41455e9 | −0.662348 | −0.331174 | − | 0.943570i | ||||||
−0.331174 | + | 0.943570i | ||||||||
6.96139e8 | − | 4.01916e8i | 0.323507 | − | 0.186777i | |||||
−7.13923e8 | + | 1.54361e8i | −0.329280 | + | 0.0711953i | |||||
−2.66151e8 | + | 4.60987e8i | −0.121836 | + | 0.211027i | |||||
−2.04006e9 | − | 3.53349e9i | −0.926902 | − | 1.60544i | −0.788473 | − | 0.615069i | ||
−0.138429 | − | 0.990372i | ||||||||
8.05277e7 | + | 7.89471e6i | 0.0363149 | + | 0.00356021i | |||||
−1.75888e9 | + | 4.28104e8i | −0.787283 | + | 0.191622i | |||||
− | 5.66676e9i | − | 2.51763i | |||||||
7.83207e8 | − | 2.43946e9i | 0.345385 | − | 1.07577i | |||||
5.28817e8 | + | 3.05313e8i | 0.231477 | + | 0.133644i | |||||
7.79152e7 | + | 4.49844e7i | 0.0338539 | + | 0.0195455i | |||||
2.61945e8 | − | 8.15883e8i | 0.112976 | − | 0.351887i | |||||
5.64315e9i | 2.41598i | |||||||||
4.55539e8 | − | 1.55576e9i | 0.193598 | − | 0.661179i | |||||
−1.70826e9 | − | 1.67473e8i | −0.720676 | − | 0.0706531i | |||||
−7.61471e8 | − | 1.31891e9i | −0.318901 | − | 0.552353i | |||||
515988. | − | 893717.i | 0.000214519 | − | 0.000371557i | −0.865918 | − | 0.500186i | ||
0.866133 | + | 0.499814i | ||||||||
5.25362e9 | − | 1.13591e9i | 2.16828 | − | 0.468813i | |||||
−1.07154e8 | + | 6.18654e7i | −0.0439037 | + | 0.0253478i | |||||
4.11021e9 | 1.67186 | |||||||||
−9.39282e7 | + | 1.30397e9i | −0.0379298 | + | 0.526565i | |||||
−1.36300e9 | −0.546435 | |||||||||
−3.81997e9 | + | 2.20546e9i | −1.52042 | + | 0.877815i | |||||
−3.27021e9 | + | 5.71926e7i | −1.29226 | + | 0.0226002i | |||||
4.79628e8 | − | 8.30739e8i | 0.188171 | − | 0.325922i | −0.756469 | − | 0.654029i | ||
0.944640 | + | 0.328107i | ||||||||
−4.63943e8 | − | 8.03573e8i | −0.180716 | − | 0.313009i | |||||
−2.08867e9 | + | 1.89391e9i | −0.807771 | + | 0.732452i | |||||
3.49578e9 | − | 5.45762e9i | 1.34232 | − | 2.09564i | |||||
− | 6.85759e8i | − | 0.261449i | −0.991419 | − | 0.130724i | ||||
0.991419 | − | 0.130724i | ||||||||
1.18337e9 | + | 3.79928e8i | 0.447962 | + | 0.143822i | |||||
−7.24391e8 | − | 4.18228e8i | −0.272276 | − | 0.157199i | |||||
1.45640e8 | + | 8.40855e7i | 0.0543547 | + | 0.0313817i | |||||
9.23162e8 | + | 2.03503e9i | 0.342105 | + | 0.754140i | |||||
5.80520e8i | 0.213615i | |||||||||
−4.41590e8 | + | 4.21691e8i | −0.161351 | + | 0.154080i | |||||
2.04139e9 | + | 2.25131e9i | 0.740668 | + | 0.816831i | |||||
1.49005e9 | + | 2.58084e9i | 0.536844 | + | 0.929841i | 0.999072 | + | 0.0430800i | ||
−0.462227 | + | 0.886761i | ||||||||
−3.08105e9 | + | 5.33653e9i | −1.10231 | + | 1.90926i | |||||
3.12525e8 | + | 1.44544e9i | 0.111033 | + | 0.513532i | |||||
−4.10122e9 | + | 2.36784e9i | −1.44694 | + | 0.835390i | |||||
−2.90478e9 | −1.01771 | −0.508856 | − | 0.860852i | ||||||
−0.508856 | + | 0.860852i | ||||||||
−4.57013e8 | + | 1.13573e9i | −0.159009 | + | 0.395155i | |||||
7.27880e9 | 2.51501 | |||||||||
7.40595e8 | − | 4.27583e8i | 0.254129 | − | 0.146721i | |||||
6.18306e8 | + | 2.85969e9i | 0.210705 | + | 0.974519i | |||||
−7.46682e8 | + | 1.29329e9i | −0.252704 | + | 0.437697i | |||||
−2.50540e8 | − | 4.33948e8i | −0.0842102 | − | 0.145856i | 0.820844 | − | 0.571152i | ||
−0.905054 | + | 0.425296i | ||||||||
−5.14614e9 | − | 5.67532e9i | −1.71785 | − | 1.89450i | |||||
−7.92211e8 | − | 3.25483e9i | −0.262644 | − | 1.07908i | |||||
− | 2.69250e9i | − | 0.886567i | |||||||
−2.50396e9 | − | 1.08350e9i | −0.818874 | − | 0.354339i | |||||
−2.54129e9 | − | 1.46721e9i | −0.825435 | − | 0.476565i | |||||
4.41224e9 | + | 2.54741e9i | 1.42342 | + | 0.821813i | |||||
−1.81081e8 | − | 5.81373e7i | −0.0580228 | − | 0.0186286i | |||||
− | 1.36701e9i | − | 0.435066i | |||||||
9.00636e8 | + | 3.70029e9i | 0.284705 | + | 1.16972i | |||||
−1.23028e8 | + | 1.11557e8i | −0.0386296 | + | 0.0350276i | |||||
−7.15646e7 | − | 1.23954e8i | −0.0223196 | − | 0.0386587i | |||||
−2.31309e9 | + | 4.00639e9i | −0.716573 | + | 1.24114i | 0.245777 | + | 0.969327i | ||
−0.962350 | + | 0.271814i | ||||||||
−1.04487e9 | − | 7.48035e8i | −0.321527 | − | 0.230184i | |||||
−3.91578e9 | + | 2.26078e9i | −1.19691 | + | 0.691037i | −0.959865 | − | 0.280461i | ||
−0.237046 | + | 0.971498i | ||||||||
3.91712e9 | 1.18934 | |||||||||
−3.91865e9 | − | 8.07733e9i | −1.18189 | − | 2.43618i | |||||
6.29545e9 | 1.88615 | |||||||||
5.23148e8 | − | 3.02040e8i | 0.155700 | − | 0.0898932i | |||||
1.73591e9 | − | 3.75330e8i | 0.513227 | − | 0.110967i | |||||
−1.22793e9 | + | 2.12684e9i | −0.360645 | + | 0.624656i | |||||
−3.08832e9 | − | 5.34913e9i | −0.901066 | − | 1.56069i | |||||
2.11235e8 | − | 2.15464e9i | 0.0612259 | − | 0.624517i | |||||
1.50245e9 | − | 1.43475e9i | 0.432623 | − | 0.413128i | |||||
− | 1.33518e8i | − | 0.0381939i | |||||||
−3.08213e8 | + | 9.59994e8i | −0.0875905 | + | 0.272819i | |||||
−9.18678e7 | − | 5.30399e7i | −0.0259373 | − | 0.0149749i | |||||
1.06560e9 | + | 6.15222e8i | 0.298893 | + | 0.172566i | |||||
1.25860e9 | − | 3.92018e9i | 0.350734 | − | 1.09244i | |||||
3.54840e9i | 0.982414i | |||||||||
8.43298e8 | − | 1.31656e9i | 0.231964 | − | 0.362142i | |||||
−2.81651e9 | − | 3.79227e9i | −0.769721 | − | 1.03639i | |||||
−5.49428e8 | − | 9.51638e8i | −0.149183 | − | 0.258393i | 0.781742 | − | 0.623601i | ||
−0.930926 | + | 0.365208i | ||||||||
1.07735e9 | − | 1.86603e9i | 0.290644 | − | 0.503410i | |||||
5.14520e9 | − | 1.11247e9i | 1.37912 | − | 0.298187i | |||||
−3.84975e9 | + | 2.22265e9i | −1.02526 | + | 0.591937i | |||||
9.95238e8 | 0.263354 | |||||||||
−2.66852e8 | − | 1.92220e7i | −0.0701611 | − | 0.00505388i | |||||
−4.60429e9 | −1.20284 | −0.601419 | − | 0.798934i | ||||||
−0.601419 | + | 0.798934i | ||||||||
−2.18950e9 | + | 1.26411e9i | −0.568346 | + | 0.328135i | |||||
−1.91504e9 | + | 2.67498e9i | −0.493942 | + | 0.689950i | |||||
−2.93626e9 | + | 5.08574e9i | −0.752531 | + | 1.30342i | |||||
−5.35971e8 | − | 9.28328e8i | −0.136493 | − | 0.236413i | |||||
6.58295e8 | − | 5.96913e8i | 0.166584 | − | 0.151051i | |||||
−3.19558e8 | + | 1.09136e9i | −0.0803549 | + | 0.274429i | |||||
7.53205e9i | 1.88204i | |||||||||
6.87768e9 | + | 2.20813e9i | 1.70772 | + | 0.548276i | |||||
4.47423e9 | + | 2.58320e9i | 1.10397 | + | 0.637377i | |||||
−3.59243e9 | − | 2.07409e9i | −0.880837 | − | 0.508551i | −0.00990238 | − | 0.999951i | ||
−0.870934 | + | 0.491400i | ||||||||
8.45146e8 | − | 3.83389e8i | 0.205926 | − | 0.0934157i | |||||
2.04311e7i | 0.00494710i | |||||||||
−9.49323e9 | + | 2.31061e9i | −2.28431 | + | 0.555993i | |||||
−1.24142e9 | − | 1.36908e9i | −0.296858 | − | 0.327384i | |||||
2.73596e9 | + | 4.73882e9i | 0.650179 | + | 1.12614i | |||||
3.29882e9 | − | 5.71373e9i | 0.779075 | − | 1.34940i | −0.153400 | − | 0.988164i | ||
0.932475 | − | 0.361234i | ||||||||
6.10689e8 | + | 2.82446e9i | 0.143332 | + | 0.662915i | |||||
7.18620e9 | − | 4.14895e9i | 1.67621 | − | 0.967763i | |||||
5.49650e9 | 1.27417 | |||||||||
4.33644e9 | − | 1.87902e8i | 0.999063 | − | 0.0432902i | |||||
4.15031e8 | 0.0950301 | |||||||||
9.40776e8 | − | 5.43157e8i | 0.214089 | − | 0.123604i | −0.389122 | − | 0.921186i | ||
0.603210 | + | 0.797582i | ||||||||
−2.07483e9 | − | 9.59615e9i | −0.469267 | − | 2.17038i | |||||
7.54394e8 | − | 1.30665e9i | 0.169579 | − | 0.293719i | −0.768693 | − | 0.639618i | ||
0.938272 | + | 0.345899i | ||||||||
3.51197e7 | + | 6.08290e7i | 0.00784629 | + | 0.0135902i | |||||
2.67089e9 | + | 2.94554e9i | 0.593082 | + | 0.654069i | |||||
−3.94396e9 | − | 1.15482e9i | −0.870443 | − | 0.254872i | |||||
6.51660e9i | 1.42950i | |||||||||
−1.11959e9 | + | 5.07889e8i | −0.244108 | + | 0.110736i | |||||
6.90685e8 | + | 3.98767e8i | 0.149680 | + | 0.0864180i | 0.572970 | − | 0.819577i | ||
−0.423289 | + | 0.905995i | ||||||||
2.90805e8 | + | 1.67896e8i | 0.0626404 | + | 0.0361654i | |||||
8.03645e9 | + | 2.58016e9i | 1.72064 | + | 0.552423i | |||||
− | 1.85594e9i | − | 0.394971i | |||||||
−2.78532e9 | − | 2.91675e9i | −0.589194 | − | 0.616997i | |||||
4.15168e9 | − | 3.76457e9i | 0.872959 | − | 0.791562i | |||||
−7.45006e8 | − | 1.29039e9i | −0.155711 | − | 0.269700i | |||||
−1.13847e9 | + | 1.97190e9i | −0.236526 | + | 0.409675i | |||||
−2.95401e8 | + | 4.12624e8i | −0.0610052 | + | 0.0852136i | |||||
2.31707e8 | − | 1.33776e8i | 0.0475661 | − | 0.0274623i | |||||
3.14642e9 | 0.642072 | 0.321036 | − | 0.947067i | ||||||
0.321036 | + | 0.947067i | ||||||||
−1.15423e9 | + | 3.09694e9i | −0.234139 | + | 0.628221i | |||||
7.74145e8 | 0.156106 | |||||||||
6.74689e9 | − | 3.89532e9i | 1.35245 | − | 0.780838i | |||||
−9.59485e9 | + | 2.07455e9i | −1.91197 | + | 0.413397i | |||||
2.87051e9 | − | 4.97187e9i | 0.568635 | − | 0.984904i | |||||
−1.02329e9 | − | 1.77240e9i | −0.201516 | − | 0.349035i | 0.747501 | − | 0.664260i | ||
−0.949017 | + | 0.315225i | ||||||||
−1.69286e9 | − | 2.27934e9i | −0.331413 | − | 0.446229i | |||||
7.02151e9 | + | 7.35284e9i | 1.36654 | + | 1.43102i | |||||
8.94509e8i | 0.173070i | |||||||||
−2.09573e9 | + | 6.52760e9i | −0.403112 | + | 1.25558i | |||||
1.68183e8 | + | 9.71003e7i | 0.0321608 | + | 0.0185680i | |||||
−4.71997e8 | − | 2.72508e8i | −0.0897316 | − | 0.0518066i | 0.454463 | − | 0.890766i | ||
−0.544194 | + | 0.838959i | ||||||||
−1.86540e9 | + | 5.81019e9i | −0.352568 | + | 1.09815i | |||||
1.21229e9i | 0.227796i | 0.993492 | + | 0.113898i | ||||||
−0.993492 | + | 0.113898i | ||||||||
6.03511e8 | + | 1.76713e8i | 0.112745 | + | 0.0330126i | |||||
4.25650e8 | − | 4.34172e9i | 0.0790573 | − | 0.806402i | |||||
−1.63770e9 | − | 2.83657e9i | −0.302415 | − | 0.523799i | |||||
4.27416e9 | − | 7.40306e9i | 0.784705 | − | 1.35915i | |||||
−9.03925e9 | + | 1.95442e9i | −1.64998 | + | 0.356750i | |||||
1.38049e9 | − | 7.97028e8i | 0.250538 | − | 0.144648i | −0.369473 | − | 0.929242i | ||
0.620011 | + | 0.784593i | ||||||||
−5.69679e9 | −1.02794 | |||||||||
1.41180e9 | + | 9.56582e8i | 0.253287 | + | 0.171617i | |||||
−1.18384e10 | −2.11173 | |||||||||
2.68846e8 | − | 1.55218e8i | 0.0476825 | − | 0.0275295i | |||||
3.17658e9 | + | 2.27414e9i | 0.560182 | + | 0.401040i | |||||
8.48511e8 | − | 1.46966e9i | 0.148780 | − | 0.257695i | −0.781997 | − | 0.623283i | ||
0.930777 | + | 0.365587i | ||||||||
5.11383e9 | + | 8.85741e9i | 0.891572 | + | 1.54425i | |||||
−5.77440e9 | + | 5.23598e9i | −1.00102 | + | 0.907684i | |||||
−1.03258e9 | + | 2.51326e8i | −0.177988 | + | 0.0433216i | |||||
− | 1.19915e9i | − | 0.205530i | −0.994706 | − | 0.102765i | ||||
0.994706 | − | 0.102765i | ||||||||
−6.16338e9 | − | 1.97880e9i | −1.05041 | − | 0.337243i | |||||
−5.24316e9 | − | 3.02714e9i | −0.888538 | − | 0.512997i | −0.0150737 | − | 0.999886i | ||
−0.873464 | + | 0.486889i | ||||||||
1.16077e9 | + | 6.70169e8i | 0.195602 | + | 0.112931i | |||||
−2.89153e9 | − | 1.25121e9i | −0.484514 | − | 0.209656i | |||||
− | 6.19338e9i | − | 1.03196i | |||||||
3.76003e8 | − | 1.28413e9i | 0.0622992 | − | 0.212765i | |||||
2.70921e8 | + | 2.98780e8i | 0.0446371 | + | 0.0492272i | |||||
−1.10600e10 | − | 1.91564e10i | −1.81206 | − | 3.13859i | |||||
−2.45920e9 | + | 4.25946e9i | −0.400667 | + | 0.693975i | |||||
−5.00518e8 | − | 2.31491e9i | −0.0810929 | − | 0.375057i | |||||
−4.07164e9 | + | 2.35076e9i | −0.656011 | + | 0.378748i | |||||
−5.97402e9 | −0.957170 | |||||||||
9.63345e9 | + | 1.22947e10i | 1.53493 | + | 1.95896i | |||||
−4.25664e8 | −0.0674472 | −0.0337236 | − | 0.999431i | ||||||
−0.0337236 | + | 0.999431i | ||||||||
6.69405e8 | − | 3.86481e8i | 0.105482 | − | 0.0609002i | |||||
1.43264e9 | + | 6.62603e9i | 0.224505 | + | 1.03834i | |||||
5.05264e9 | − | 8.75143e9i | 0.787419 | − | 1.36385i | |||||
−4.68295e9 | − | 8.11110e9i | −0.725791 | − | 1.25711i | |||||
2.11576e9 | + | 2.33332e9i | 0.326111 | + | 0.359646i | |||||
3.54676e8 | + | 1.63592e7i | 0.0543681 | + | 0.00250770i | |||||
− | 1.11551e9i | − | 0.170060i | |||||||
−6.07898e8 | − | 1.34006e9i | −0.0921675 | − | 0.203175i | |||||
8.90947e9 | + | 5.14389e9i | 1.34345 | + | 0.775642i | |||||
−7.45438e9 | − | 4.30379e9i | −1.11791 | − | 0.645428i | −0.177046 | − | 0.984203i | ||
−0.940868 | + | 0.338775i | ||||||||
1.28329e8 | + | 4.12009e7i | 0.0191404 | + | 0.00614517i | |||||
2.22868e9i | 0.330605i | 0.986243 | + | 0.165303i | ||||||
−0.986243 | + | 0.165303i | ||||||||
1.73500e9 | − | 1.65682e9i | 0.255976 | − | 0.244441i | |||||
8.83609e8 | − | 8.01218e8i | 0.129659 | − | 0.117569i | |||||
4.05985e9 | + | 7.03186e9i | 0.592510 | + | 1.02626i | |||||
2.39282e9 | − | 4.14449e9i | 0.347333 | − | 0.601598i | −0.638442 | − | 0.769670i | ||
0.985775 | + | 0.168072i | ||||||||
−2.21992e9 | − | 1.94328e9i | −0.320497 | − | 0.280559i | |||||
1.62757e9 | − | 9.39681e8i | 0.233714 | − | 0.134935i | |||||
−1.33360e9 | −0.190470 | |||||||||
−1.10807e9 | + | 5.37573e8i | −0.157411 | + | 0.0763667i | |||||
5.17381e9 | 0.731044 | |||||||||
3.97133e9 | − | 2.29285e9i | 0.558136 | − | 0.322240i | −0.194261 | − | 0.980950i | ||
0.752397 | + | 0.658710i | ||||||||
−1.23595e9 | + | 2.67230e8i | −0.172774 | + | 0.0373563i | |||||
−1.22834e10 | + | 2.12756e10i | −1.70795 | + | 2.95826i | |||||
3.09756e9 | + | 5.36514e9i | 0.428407 | + | 0.742023i | |||||
8.03441e9 | + | 7.87670e8i | 1.10529 | + | 0.108359i | |||||
−2.25966e9 | − | 9.28390e9i | −0.309210 | − | 1.27040i | |||||
1.15059e10i | 1.56610i | 0.621956 | + | 0.783052i | ||||||
−0.621956 | + | 0.783052i | ||||||||
1.25351e9 | − | 3.90431e9i | 0.169716 | − | 0.528616i | |||||
3.44053e9 | + | 1.98639e9i | 0.463361 | + | 0.267522i | 0.713457 | − | 0.700699i | ||
−0.250095 | + | 0.968221i | ||||||||
−1.08422e10 | − | 6.25973e9i | −1.45249 | − | 0.838595i | |||||
1.28294e8 | − | 3.99599e8i | 0.0170966 | − | 0.0532509i | |||||
2.74133e9i | 0.363390i | |||||||||
3.08129e9 | + | 1.26596e10i | 0.406310 | + | 1.66934i | |||||
−9.13402e9 | − | 8.95474e8i | −1.19813 | − | 0.117461i | |||||
−6.18928e8 | − | 1.07202e9i | −0.0807607 | − | 0.139882i | |||||
1.35685e9 | − | 2.35014e9i | 0.176123 | − | 0.305053i | |||||
8.69004e9 | − | 1.87891e9i | 1.12210 | − | 0.242614i | |||||
1.35953e10 | − | 7.84928e9i | 1.74634 | − | 1.00825i | |||||
−2.85582e9 | −0.364923 | |||||||||
8.15410e9 | − | 3.95589e9i | 1.03653 | − | 0.502866i | |||||
2.68753e9 | 0.339861 | 0.169931 | − | 0.985456i | ||||||
0.169931 | + | 0.985456i | ||||||||
1.05197e10 | − | 6.07353e9i | 1.32340 | − | 0.764068i | |||||
2.14922e10 | − | 2.48718e9i | 2.68979 | − | 0.311275i | |||||
2.68443e9 | − | 4.64956e9i | 0.334224 | − | 0.578893i | |||||
3.78037e9 | + | 6.54778e9i | 0.468245 | + | 0.811025i | 0.999341 | − | 0.0362869i | ||
−0.531096 | + | 0.847312i | ||||||||
−7.81023e9 | + | 7.08198e9i | −0.962410 | + | 0.872672i | |||||
−5.37884e9 | + | 5.13646e9i | −0.659393 | + | 0.629680i | |||||
− | 6.91062e9i | − | 0.842822i | |||||||
−1.99994e9 | − | 6.42096e8i | −0.242662 | − | 0.0779085i | |||||
6.97679e8 | + | 4.02805e8i | 0.0842190 | + | 0.0486239i | |||||
1.22736e10 | + | 7.08616e9i | 1.47401 | + | 0.851018i | 0.999571 | − | 0.0292726i | ||
0.474435 | + | 0.880291i | ||||||||
2.06829e9 | + | 4.55936e9i | 0.247124 | + | 0.544763i | |||||
− | 1.58561e10i | − | 1.88487i | |||||||
3.55090e9 | − | 1.03352e10i | 0.419956 | − | 1.22232i | |||||
−2.58146e9 | − | 2.84691e9i | −0.303750 | − | 0.334985i | |||||
−4.73995e8 | − | 8.20983e8i | −0.0554899 | − | 0.0961113i | |||||
1.69184e8 | − | 2.93036e8i | 0.0197057 | − | 0.0341313i | |||||
−2.39597e9 | − | 1.10814e10i | −0.277658 | − | 1.28418i | |||||
−7.55947e9 | + | 4.36446e9i | −0.871602 | + | 0.503219i | −0.867880 | − | 0.496774i | ||
−0.00372142 | + | 0.999993i | ||||||||
3.04752e8 | 0.0349603 | |||||||||
2.32391e9 | + | 2.96589e9i | 0.265248 | + | 0.338523i | |||||
−1.67830e9 | −0.190596 | |||||||||
−2.80609e10 | + | 1.62010e10i | −3.17070 | + | 1.83061i | |||||
−2.44967e8 | − | 1.13298e9i | −0.0275407 | − | 0.127376i | |||||
3.22327e9 | − | 5.58288e9i | 0.360564 | − | 0.624515i | |||||
2.00436e9 | + | 3.47165e9i | 0.223090 | + | 0.386404i | |||||
1.14355e9 | + | 1.26114e9i | 0.126644 | + | 0.139667i | |||||
−4.62942e9 | + | 1.58105e10i | −0.510134 | + | 1.74221i | |||||
− | 1.45093e9i | − | 0.159086i | −0.996831 | − | 0.0795432i | ||||
0.996831 | − | 0.0795432i | ||||||||
2.56054e8 | − | 5.91739e8i | 0.0279352 | − | 0.0645581i | |||||
−6.63018e9 | − | 3.82794e9i | −0.719750 | − | 0.415548i | |||||
−9.24240e8 | − | 5.33610e8i | −0.0998344 | − | 0.0576394i | |||||
−1.72558e10 | − | 5.54012e9i | −1.85470 | − | 0.595466i | |||||
1.82505e10i | 1.95191i | |||||||||
1.19249e10 | − | 2.90248e9i | 1.26908 | − | 0.308888i | |||||
−2.94303e9 | + | 2.66862e9i | −0.311658 | + | 0.282598i | |||||
7.91772e9 | + | 1.37139e10i | 0.834331 | + | 1.44510i | 0.894574 | + | 0.446920i | ||
−0.0602432 | + | 0.998184i | ||||||||
2.64758e9 | − | 4.58574e9i | 0.277616 | − | 0.480845i | |||||
−2.22835e9 | − | 1.59530e9i | −0.232510 | − | 0.166456i | |||||
−7.87643e8 | + | 4.54746e8i | −0.0817805 | + | 0.0472160i | |||||
8.93968e8 | 0.0923652 | |||||||||
−1.06940e10 | − | 7.24587e9i | −1.09951 | − | 0.744984i | |||||
−4.40518e8 | −0.0450705 | |||||||||
−6.54307e9 | + | 3.77764e9i | −0.666171 | + | 0.384614i | |||||
−4.76066e9 | + | 1.02932e9i | −0.482336 | + | 0.104288i | |||||
4.49529e9 | − | 7.78607e9i | 0.453234 | − | 0.785024i | |||||
7.47727e8 | + | 1.29510e9i | 0.0750225 | + | 0.129943i | 0.901096 | − | 0.433619i | ||
−0.826074 | + | 0.563562i | ||||||||
2.29737e9 | − | 2.34337e10i | 0.229386 | − | 2.33979i | |||||
8.24440e9 | + | 2.41402e9i | 0.819192 | + | 0.239866i | |||||
− | 2.66496e9i | − | 0.263518i | |||||||
4.01836e9 | − | 1.25160e10i | 0.395426 | − | 1.23163i | |||||
−8.36559e9 | − | 4.82987e9i | −0.819241 | − | 0.472989i | |||||
7.36165e9 | + | 4.25025e9i | 0.717450 | + | 0.414220i | |||||
−3.32012e9 | + | 1.03412e10i | −0.322015 | + | 1.00298i | |||||
− | 1.76815e10i | − | 1.70667i | −0.521364 | − | 0.853334i | ||||
0.521364 | − | 0.853334i | ||||||||
−1.66672e8 | − | 1.74537e8i | −0.0160105 | − | 0.0167660i | |||||
−3.02297e9 | + | 1.00140e10i | −0.288993 | + | 0.957331i | |||||
1.45252e10 | + | 2.51584e10i | 1.38195 | + | 2.39360i | |||||
−4.93231e8 | + | 8.54302e8i | −0.0467025 | + | 0.0808910i | |||||
5.90056e9 | − | 1.27579e9i | 0.556038 | − | 0.120224i | |||||
−2.58930e9 | + | 1.49494e9i | −0.242839 | + | 0.140203i | −0.616481 | − | 0.787370i | ||
0.373642 | + | 0.927573i | ||||||||
−7.86652e9 | −0.734254 | |||||||||
−1.32013e10 | − | 1.59806e10i | −1.22634 | − | 1.48453i | |||||
−6.57854e9 | −0.608215 | |||||||||
3.27965e9 | − | 1.89351e9i | 0.301781 | − | 0.174233i | |||||
5.76510e9 | − | 8.05283e9i | 0.527970 | − | 0.737482i | |||||
5.30209e9 | − | 9.18349e9i | 0.483272 | − | 0.837052i | −0.516544 | − | 0.856261i | ||
0.999815 | + | 0.0192094i | ||||||||
−6.62761e9 | − | 1.14794e10i | −0.601237 | − | 1.04137i | |||||
3.98434e8 | − | 3.61283e8i | 0.0359744 | − | 0.0326200i | |||||
−7.19263e9 | − | 7.53203e9i | −0.646359 | − | 0.676860i | |||||
6.92790e9i | 0.619642i | 0.950795 | + | 0.309821i | ||||||
−0.950795 | + | 0.309821i | ||||||||
7.97060e8 | + | 2.55902e8i | 0.0709554 | + | 0.0227808i | |||||
−4.85846e9 | − | 2.80503e9i | −0.430479 | − | 0.248537i | |||||
−1.36649e10 | − | 7.88945e9i | −1.20510 | − | 0.695762i | |||||
8.85123e9 | − | 4.01524e9i | 0.776929 | − | 0.352443i | |||||
3.39132e9i | 0.296287i | |||||||||
−1.71658e8 | − | 5.02628e7i | −0.0149272 | − | 0.00437079i | |||||
3.29836e10 | + | 3.63754e10i | 2.85485 | + | 3.14842i | |||||
3.62072e9 | + | 6.27127e9i | 0.311929 | + | 0.540276i | 0.978780 | − | 0.204915i | ||
−0.666851 | + | 0.745191i | ||||||||
−7.20201e9 | + | 1.24742e10i | −0.617577 | + | 1.06968i | |||||
3.20074e9 | + | 1.48035e10i | 0.273192 | + | 1.26352i | |||||
2.19384e8 | − | 1.26661e8i | 0.0186382 | − | 0.0107608i | |||||
2.05422e10 | 1.73713 | |||||||||
−6.12651e9 | − | 5.08981e9i | −0.515688 | − | 0.428425i | |||||
−1.94667e10 | −1.63101 | −0.815507 | − | 0.578747i | ||||||
−0.815507 | + | 0.578747i | ||||||||
−1.55620e10 | + | 8.98475e9i | −1.29785 | + | 0.749314i | |||||
−5.77988e8 | − | 2.67321e9i | −0.0479814 | − | 0.221915i | |||||
4.42808e9 | − | 7.66966e9i | 0.365904 | − | 0.633765i | |||||
−8.19400e9 | − | 1.41924e10i | −0.673984 | − | 1.16737i | −0.976765 | − | 0.214315i | ||
0.302780 | − | 0.953060i | ||||||||
7.99347e9 | + | 8.81545e9i | 0.654475 | + | 0.721776i | |||||
1.63051e9 | − | 3.96859e8i | 0.132888 | − | 0.0323445i | |||||
− | 7.29635e9i | − | 0.591942i | |||||||
−2.23131e10 | + | 1.01220e10i | −1.80196 | + | 0.817433i | |||||
1.31445e10 | + | 7.58896e9i | 1.05668 | + | 0.610072i | |||||
3.69608e8 | + | 2.13393e8i | 0.0295772 | + | 0.0170764i | |||||
−1.56494e10 | − | 5.02436e9i | −1.24662 | − | 0.400236i | |||||
1.90743e10i | 1.51254i | 0.654259 | + | 0.756270i | ||||||
−0.654259 | + | 0.756270i | ||||||||
−3.81013e9 | + | 1.30124e10i | −0.300761 | + | 1.02716i | |||||
−6.95230e9 | + | 6.30405e9i | −0.546309 | + | 0.495369i | |||||
−7.74425e9 | − | 1.34134e10i | −0.605785 | − | 1.04925i | |||||
−2.93621e9 | + | 5.08567e9i | −0.228644 | + | 0.396023i | −0.957406 | − | 0.288744i | ||
0.728763 | + | 0.684766i | ||||||||
−8.82185e8 | + | 1.23226e9i | −0.0683859 | + | 0.0955231i | |||||
−5.31651e9 | + | 3.06949e9i | −0.410271 | + | 0.236870i | |||||
5.05534e9 | 0.388360 | |||||||||
1.21483e10 | + | 8.75071e8i | 0.929054 | + | 0.0669221i | |||||
7.79769e9 | 0.593660 | |||||||||
7.15462e9 | − | 4.13072e9i | 0.542257 | − | 0.313072i | |||||
9.10178e8 | − | 1.96794e8i | 0.0686745 | − | 0.0148484i | |||||
6.38684e8 | − | 1.10623e9i | 0.0479742 | − | 0.0830937i | |||||
4.68823e9 | + | 8.12025e9i | 0.350579 | + | 0.607220i | |||||
−3.29936e9 | + | 2.45043e9i | −0.245620 | + | 0.182421i | |||||
−1.46315e10 | + | 7.57100e9i | −1.08438 | + | 0.561109i | |||||
− | 2.94865e10i | − | 2.17560i | |||||||
9.54167e9 | − | 2.97195e10i | 0.700883 | − | 2.18304i | |||||
1.02364e10 | + | 5.91001e9i | 0.748579 | + | 0.432192i | 0.825180 | − | 0.564870i | ||
−0.0766013 | + | 0.997062i | ||||||||
1.56003e10 | + | 9.00682e9i | 1.13577 | + | 0.655737i | |||||
6.15475e9 | − | 1.91703e10i | 0.446109 | − | 1.38950i | |||||
− | 9.86181e9i | − | 0.711642i | |||||||
1.01188e10 | − | 9.66282e9i | 0.726960 | − | 0.694203i | |||||
2.49885e8 | − | 2.54888e9i | 0.0178732 | − | 0.182310i | |||||
−3.24266e8 | − | 5.61644e8i | −0.0230911 | − | 0.0399950i | |||||
7.84910e9 | − | 1.35950e10i | 0.556478 | − | 0.963848i | |||||
−1.93079e10 | + | 4.17466e9i | −1.36286 | + | 0.294670i | |||||
1.08950e10 | − | 6.29026e9i | 0.765655 | − | 0.442051i | |||||
1.19819e9 | 0.0838345 | 0.0419173 | − | 0.999121i | ||||||
0.0419173 | + | 0.999121i | ||||||||
−7.22575e9 | − | 1.48941e10i | −0.503353 | − | 1.03754i | |||||
1.49886e10 | 1.03955 | |||||||||
3.91231e10 | − | 2.25878e10i | 2.70159 | − | 1.55976i | |||||
2.62195e9 | + | 1.87708e9i | 0.180265 | + | 0.129053i | |||||
−1.67713e10 | + | 2.90487e10i | −1.14804 | + | 1.98846i | |||||
3.50396e9 | + | 6.06903e9i | 0.238811 | + | 0.413633i | |||||
−5.93037e9 | + | 5.37741e9i | −0.402426 | + | 0.364902i | |||||
3.55822e9 | + | 1.46190e10i | 0.240407 | + | 0.987719i | |||||
1.82947e8i | 0.0123070i | |||||||||
1.08052e10 | + | 3.46910e9i | 0.723730 | + | 0.232359i | |||||
−7.22457e9 | − | 4.17110e9i | −0.481806 | − | 0.278171i | |||||
−1.38749e10 | − | 8.01065e9i | −0.921316 | − | 0.531922i | −0.0372616 | − | 0.999306i | ||
−0.884055 | + | 0.467383i | ||||||||
−3.56330e10 | + | 1.21315e10i | −2.35589 | + | 0.802081i | |||||
− | 1.85573e10i | − | 1.22164i | −0.791770 | − | 0.610819i | ||||
0.791770 | − | 0.610819i | ||||||||
−7.40069e8 | − | 3.04060e9i | −0.0485094 | − | 0.199303i | |||||
−4.62898e9 | − | 5.10498e9i | −0.302112 | − | 0.333179i | |||||
−3.98352e9 | − | 6.89966e9i | −0.258870 | − | 0.448376i | |||||
−1.62242e10 | + | 2.81012e10i | −1.04981 | + | 1.81833i | |||||
4.11531e9 | + | 1.90334e10i | 0.265147 | + | 1.22631i | |||||
−1.09481e9 | + | 6.32090e8i | −0.0702364 | + | 0.0405510i | |||||
−2.49757e10 | −1.59544 | |||||||||
−3.19422e8 | + | 7.93799e8i | −0.0203175 | + | 0.0504913i | |||||
1.43037e10 | 0.905939 | |||||||||
−1.22520e10 | + | 7.07369e9i | −0.772690 | + | 0.446113i | −0.833834 | − | 0.552016i | ||
0.0611431 | + | 0.998129i | ||||||||
4.25751e9 | + | 1.96911e10i | 0.267365 | + | 1.23657i | |||||
2.52111e9 | − | 4.36670e9i | 0.157650 | − | 0.273057i | −0.776371 | − | 0.630276i | ||
0.934021 | + | 0.357219i | ||||||||
−2.91957e9 | − | 5.05685e9i | −0.181792 | − | 0.314873i | |||||
1.26160e10 | + | 1.39133e10i | 0.782225 | + | 0.862662i | |||||
9.50020e9 | − | 9.07211e9i | 0.586547 | − | 0.560116i | |||||
− | 2.69970e10i | − | 1.65976i | −0.557941 | − | 0.829881i | ||||
0.557941 | − | 0.829881i | ||||||||
2.38842e9 | + | 5.26506e9i | 0.146219 | + | 0.322327i | |||||
−2.29907e10 | − | 1.32737e10i | −1.40156 | − | 0.809191i | −0.407007 | − | 0.913425i | ||
−0.994553 | + | 0.104234i | ||||||||
3.02894e10 | + | 1.74876e10i | 1.83873 | + | 1.06159i | |||||
2.29358e10 | + | 7.36372e9i | 1.38647 | + | 0.445137i | |||||
− | 2.42356e8i | − | 0.0145889i | |||||||
1.44354e10 | + | 9.24634e9i | 0.865310 | + | 0.554259i | |||||
3.04977e10 | − | 2.76540e10i | 1.82048 | − | 1.65073i | |||||
8.50973e9 | + | 1.47393e10i | 0.505840 | + | 0.876141i | |||||
−2.17304e9 | + | 3.76381e9i | −0.128631 | + | 0.222795i | |||||
−3.41199e8 | − | 2.94837e9i | −0.0201126 | − | 0.173798i | |||||
2.45311e10 | − | 1.41630e10i | 1.44000 | − | 0.831385i | |||||
−1.50756e10 | −0.881266 | −0.440633 | − | 0.897687i | ||||||
−0.440633 | + | 0.897687i | ||||||||
−1.01226e9 | + | 1.40529e10i | −0.0589272 | + | 0.818064i | |||||
1.56352e10 | 0.906393 | |||||||||
−2.72771e10 | + | 1.57485e10i | −1.57473 | + | 0.909172i | |||||
1.71050e10 | − | 3.69836e9i | 0.983392 | − | 0.212624i | |||||
6.21994e9 | − | 1.07733e10i | 0.356113 | − | 0.616806i | |||||
1.68358e10 | + | 2.91605e10i | 0.959923 | + | 1.66264i | |||||
2.29169e10 | + | 2.24671e9i | 1.30125 | + | 0.127571i | |||||
4.05036e9 | − | 1.38328e10i | 0.229035 | − | 0.782203i | |||||
1.57001e10i | 0.884130i | |||||||||
5.37367e9 | − | 1.67374e10i | 0.301366 | − | 0.938666i | |||||
−5.57627e10 | − | 3.21946e10i | −3.11442 | − | 1.79811i | |||||
−7.65640e9 | − | 4.42043e9i | −0.425864 | − | 0.245873i | |||||
−8.25429e8 | + | 2.57097e9i | −0.0457237 | + | 0.142416i | |||||
1.92731e10i | 1.06324i | 0.846984 | + | 0.531618i | ||||||
−0.846984 | + | 0.531618i | ||||||||
−1.93950e10 | + | 4.72065e9i | −1.06558 | + | 0.259358i | |||||
−3.12497e10 | − | 3.06363e9i | −1.70987 | − | 0.167631i | |||||
6.07889e7 | + | 1.05289e8i | 0.00331258 | + | 0.00573756i | |||||
−6.08570e9 | + | 1.05407e10i | −0.330277 | + | 0.572056i | −0.982566 | − | 0.185914i | ||
0.652289 | + | 0.757970i | ||||||||
5.47062e8 | − | 1.18283e8i | 0.0295686 | − | 0.00639318i | |||||
1.81238e10 | − | 1.04638e10i | 0.975603 | − | 0.563264i | 0.0746630 | − | 0.997209i | ||
0.900940 | + | 0.433944i | ||||||||
−2.18877e9 | −0.117343 | |||||||||
−7.37236e9 | + | 1.08807e10i | −0.393637 | + | 0.580961i | |||||
−4.26659e10 | −2.26885 | |||||||||
1.03063e10 | − | 5.95032e9i | 0.545838 | − | 0.315140i | −0.201604 | − | 0.979467i | ||
0.747442 | + | 0.664328i | ||||||||
2.51082e9 | + | 2.16965e10i | 0.132440 | + | 1.14444i | |||||
−9.55652e8 | + | 1.65524e9i | −0.0502046 | + | 0.0869569i | |||||
1.28612e10 | + | 2.22762e10i | 0.672928 | + | 1.16554i | |||||
7.95567e8 | − | 7.21386e8i | 0.0414582 | − | 0.0375925i | |||||
2.16893e9 | + | 6.35079e8i | 0.112571 | + | 0.0329616i | |||||
− | 2.37900e9i | − | 0.122977i | |||||||
−1.40811e10 | − | 4.52085e9i | −0.724970 | − | 0.232757i | |||||
7.44780e8 | + | 4.29999e8i | 0.0381913 | + | 0.0220498i | |||||
−9.87823e8 | − | 5.70320e8i | −0.0504512 | − | 0.0291280i | |||||
−7.40459e9 | − | 1.63227e10i | −0.376661 | − | 0.830315i | |||||
1.20162e10i | 0.608804i | |||||||||
−4.50036e10 | − | 4.71272e10i | −2.27101 | − | 2.37817i | |||||
−9.95095e9 | − | 1.09742e10i | −0.500150 | − | 0.551581i | |||||
1.30463e10 | + | 2.25968e10i | 0.653112 | + | 1.13122i | 0.982363 | + | 0.186981i | ||
−0.329251 | + | 0.944242i | ||||||||
9.36520e9 | − | 1.62210e10i | 0.466967 | − | 0.808811i | |||||
−1.80833e8 | − | 8.36358e8i | −0.00898083 | − | 0.0415366i | |||||
1.77013e10 | − | 1.02199e10i | 0.875621 | − | 0.505540i | |||||
−2.60616e10 | −1.28406 | −0.642031 | − | 0.766678i | ||||||
−0.642031 | + | 0.766678i | ||||||||
2.06852e10 | + | 1.63011e10i | 1.01512 | + | 0.799974i | |||||
−7.75021e9 | −0.378836 | −0.189418 | − | 0.981897i | ||||||
−0.189418 | + | 0.981897i | ||||||||
−6.66960e8 | + | 3.85070e8i | −0.0324726 | + | 0.0187481i | |||||
−5.26553e9 | − | 2.43532e10i | −0.255353 | − | 1.18101i | |||||
−9.73151e9 | + | 1.68555e10i | −0.470070 | + | 0.814185i | |||||
−3.45188e9 | − | 5.97884e9i | −0.166082 | − | 0.287663i | 0.770957 | − | 0.636887i | ||
−0.937039 | + | 0.349224i | ||||||||
−5.56107e9 | − | 6.13292e9i | −0.266510 | − | 0.293915i | |||||
−1.09065e10 | − | 1.14211e10i | −0.520629 | − | 0.545197i | |||||
1.16037e10i | 0.551737i | |||||||||
−8.59586e9 | + | 2.92653e9i | −0.407115 | + | 0.138606i | |||||
−1.41291e10 | − | 8.15746e9i | −0.666559 | − | 0.384838i | |||||
1.66349e10 | + | 9.60416e9i | 0.781700 | + | 0.451315i | |||||
6.78671e9 | + | 2.17892e9i | 0.317671 | + | 0.101991i | |||||
− | 4.73843e10i | − | 2.20929i | |||||||
1.66476e10 | + | 4.87455e9i | 0.773169 | + | 0.226390i | |||||
4.60104e8 | − | 4.17203e8i | 0.0212854 | − | 0.0193007i | |||||
−6.70049e9 | − | 1.16056e10i | −0.308773 | − | 0.534810i | |||||
5.83063e8 | − | 1.00989e9i | 0.0267643 | − | 0.0463572i | |||||
−3.22820e10 | − | 2.31110e10i | −1.47609 | − | 1.05675i | |||||
1.41485e10 | − | 8.16862e9i | 0.644425 | − | 0.372059i | |||||
8.59722e9 | 0.390063 | |||||||||
1.12813e9 | − | 1.66499e9i | 0.0509862 | − | 0.0752496i | |||||
−9.51021e9 | −0.428155 | |||||||||
5.24662e10 | − | 3.02914e10i | 2.35293 | − | 1.35847i | |||||
−2.55105e10 | + | 5.51576e9i | −1.13965 | + | 0.246409i | |||||
−1.82417e10 | + | 3.15956e10i | −0.811784 | + | 1.40605i | 0.0998298 | + | 0.995005i | ||
−0.911614 | + | 0.411047i | ||||||||
1.92722e9 | + | 3.33805e9i | 0.0854342 | + | 0.147976i | |||||
−2.88584e9 | + | 2.94362e10i | −0.127438 | + | 1.29989i | |||||
−2.99173e9 | + | 7.28175e8i | −0.131607 | + | 0.0320325i | |||||
− | 2.78042e8i | − | 0.0121842i | −0.999981 | − | 0.00609209i | ||||
0.999981 | − | 0.00609209i | ||||||||
−7.62863e9 | + | 2.37610e10i | −0.333016 | + | 1.03725i | |||||
7.30680e9 | + | 4.21858e9i | 0.317746 | + | 0.183451i | |||||
8.15647e9 | + | 4.70914e9i | 0.353338 | + | 0.204000i | |||||
−1.15738e10 | + | 3.60491e10i | −0.499463 | + | 1.55568i | |||||
7.05204e9i | 0.303166i | |||||||||
−1.16403e10 | + | 3.97541e10i | −0.498507 | + | 1.70251i | |||||
2.49919e10 | − | 1.85614e10i | 1.06623 | − | 0.791883i | |||||
−1.20510e10 | − | 2.08729e10i | −0.512174 | − | 0.887112i | −0.999900 | − | 0.0141152i | ||
0.487726 | − | 0.872997i | ||||||||
5.11346e9 | − | 8.85677e9i | 0.216500 | − | 0.374988i | |||||
3.19712e10 | − | 6.91265e9i | 1.34850 | − | 0.291565i | |||||
−2.30211e10 | + | 1.32912e10i | −0.967314 | + | 0.558479i | |||||
2.90079e8 | 0.0121426 | |||||||||
4.96759e8 | − | 6.89631e9i | 0.0207154 | − | 0.287584i | |||||
6.07111e10 | 2.52216 | |||||||||
1.79131e10 | − | 1.03421e10i | 0.741364 | − | 0.428027i | |||||
−1.20513e10 | + | 1.68335e10i | −0.496883 | + | 0.694059i | |||||
−4.29065e9 | + | 7.43162e9i | −0.176240 | + | 0.305257i | |||||
−9.45594e8 | − | 1.63782e9i | −0.0386945 | − | 0.0670209i | 0.846030 | − | 0.533136i | ||
−0.884724 | + | 0.466115i | ||||||||
7.91213e9 | − | 7.17438e9i | 0.322554 | − | 0.292478i | |||||
1.00962e10 | + | 1.95116e10i | 0.410048 | + | 0.792446i | |||||
− | 3.12395e9i | − | 0.126401i | |||||||
−1.88595e10 | − | 6.05497e9i | −0.760227 | − | 0.244077i | |||||
5.16682e10 | + | 2.98306e10i | 2.07496 | + | 1.19798i | |||||
−1.84197e10 | − | 1.06346e10i | −0.736957 | − | 0.425482i | |||||
5.29654e8 | − | 2.40270e8i | 0.0211119 | − | 0.00957712i | |||||
3.00074e9i | 0.119163i | 0.998223 | + | 0.0595813i | ||||||
−0.998223 | + | 0.0595813i | ||||||||
1.91434e10 | − | 1.82808e10i | 0.757373 | − | 0.723245i | |||||
1.05662e10 | + | 1.16528e10i | 0.416476 | + | 0.459303i | |||||
1.66284e10 | + | 2.88013e10i | 0.652986 | + | 1.13101i | |||||
−8.56893e7 | + | 1.48418e8i | −0.00335246 | + | 0.00580662i | −0.867697 | − | 0.497094i | ||
0.864344 | + | 0.502901i | ||||||||
7.91737e9 | + | 3.66181e10i | 0.308605 | + | 1.42731i | |||||
8.26201e9 | − | 4.77007e9i | 0.320845 | − | 0.185240i | |||||
−1.98026e10 | −0.766161 | |||||||||
4.68567e10 | − | 1.73149e10i | 1.80618 | − | 0.667435i | |||||
−1.31556e9 | −0.0505234 | |||||||||
−1.86765e10 | + | 1.07829e10i | −0.714613 | + | 0.412582i | −0.812767 | − | 0.582589i | ||
0.0981536 | + | 0.995171i | ||||||||
1.06278e9 | + | 4.91537e9i | 0.0405147 | + | 0.187382i | |||||
−7.95718e8 | + | 1.37822e9i | −0.0302223 | + | 0.0523466i | |||||
−4.12583e10 | − | 7.14615e10i | −1.56127 | − | 2.70420i | |||||
−2.17093e10 | − | 2.39417e10i | −0.818490 | − | 0.902656i | |||||
−2.75566e9 | − | 1.13217e10i | −0.103513 | − | 0.425288i | |||||
2.27050e10i | 0.849760i | 0.905250 | + | 0.424880i | ||||||
−0.905250 | + | 0.424880i | ||||||||
2.28568e10 | − | 1.03687e10i | 0.852309 | − | 0.386638i | |||||
3.96296e10 | + | 2.28802e10i | 1.47234 | + | 0.850056i | |||||
7.74035e9 | + | 4.46890e9i | 0.286522 | + | 0.165424i | |||||
−3.39684e9 | − | 1.09058e9i | −0.125280 | − | 0.0402222i | |||||
1.50900e7i | 0.000554510i | |||||||||
−6.32276e9 | − | 2.59773e10i | −0.231495 | − | 0.951105i | |||||
−1.04815e10 | + | 9.50415e9i | −0.382361 | + | 0.346708i | |||||
−1.33352e10 | − | 2.30973e10i | −0.484695 | − | 0.839516i | |||||
9.04623e8 | − | 1.56685e9i | 0.0327608 | − | 0.0567434i | |||||
2.50922e8 | − | 3.50494e8i | 0.00905412 | − | 0.0126470i | |||||
−2.08902e10 | + | 1.20609e10i | −0.751056 | + | 0.433622i | |||||
9.71388e10 | 3.47974 | |||||||||
−8.34415e9 | − | 1.71994e10i | −0.297826 | − | 0.613894i | |||||
−3.81459e10 | −1.35661 | −0.678306 | − | 0.734780i | ||||||
−0.678306 | + | 0.734780i | ||||||||
−8.48463e9 | + | 4.89860e9i | −0.300655 | + | 0.173583i | |||||
2.53818e10 | − | 5.48793e9i | 0.896169 | − | 0.193765i | |||||
3.22492e10 | − | 5.58572e10i | 1.13453 | − | 1.96507i | |||||
−1.40228e10 | − | 2.42883e10i | −0.491551 | − | 0.851391i | 0.508402 | − | 0.861120i | ||
−0.999953 | + | 0.00972902i | ||||||||
1.64530e10 | − | 9.88672e9i | 0.574663 | − | 0.345319i | |||||
−3.95122e10 | + | 3.77317e10i | −1.37511 | + | 1.31314i | |||||
1.40266e10i | 0.486404i | |||||||||
−1.30379e9 | + | 4.06093e9i | −0.0450498 | + | 0.140317i | |||||
2.60599e10 | + | 1.50457e10i | 0.897219 | + | 0.518010i | |||||
−2.09543e10 | − | 1.20980e10i | −0.718857 | − | 0.415032i | 0.0954746 | − | 0.995432i | ||
−0.814332 | + | 0.580399i | ||||||||
1.26028e10 | − | 3.92541e10i | 0.430806 | − | 1.34183i | |||||
2.79920e9i | 0.0953443i | |||||||||
−1.75256e9 | + | 3.79963e10i | −0.0594814 | + | 1.28958i | |||||
−3.94584e8 | + | 4.02484e9i | −0.0133444 | + | 0.136115i | |||||
5.01373e9 | + | 8.68404e9i | 0.168955 | + | 0.292639i | |||||
7.54203e9 | − | 1.30632e10i | 0.253251 | − | 0.438643i | −0.711168 | − | 0.703022i | ||
0.964419 | + | 0.264379i | ||||||||
8.73184e9 | − | 1.88795e9i | 0.292162 | − | 0.0631696i | |||||
−9.78398e10 | + | 5.64878e10i | −3.26204 | + | 1.88334i | |||||
1.22310e10 | 0.406343 | |||||||||
−3.04796e10 | − | 2.19552e9i | −1.00902 | − | 0.0726821i | |||||
−9.86956e8 | −0.0325573 | |||||||||
−1.26427e9 | + | 7.29925e8i | −0.0415577 | + | 0.0239934i | |||||
−2.65689e10 | − | 1.90209e10i | −0.870263 | − | 0.623029i | |||||
1.84469e10 | − | 3.19510e10i | 0.602096 | − | 1.04286i | −0.390408 | − | 0.920642i | ||
0.992503 | − | 0.122218i | ||||||||
−3.09866e9 | − | 5.36704e9i | −0.100782 | − | 0.174560i | |||||
−2.96614e10 | + | 2.68956e10i | −0.961321 | + | 0.871685i | |||||
2.50895e9 | − | 8.56860e9i | 0.0810289 | − | 0.276731i | |||||
7.89009e10i | 2.53922i | |||||||||
−1.69816e10 | − | 5.45206e9i | −0.544590 | − | 0.174845i | |||||
−3.57225e10 | − | 2.06244e10i | −1.14158 | − | 0.659094i | −0.194762 | − | 0.980850i | ||
−0.946823 | + | 0.321756i | ||||||||
−3.77381e10 | − | 2.17881e10i | −1.20178 | − | 0.693846i | |||||
−1.16567e10 | + | 2.69386e10i | −0.369910 | + | 0.854860i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 21.8.g.b.17.4 | yes | 32 | |
3.2 | odd | 2 | inner | 21.8.g.b.17.13 | yes | 32 | |
7.3 | odd | 6 | 147.8.c.b.146.31 | 32 | |||
7.4 | even | 3 | 147.8.c.b.146.1 | 32 | |||
7.5 | odd | 6 | inner | 21.8.g.b.5.13 | yes | 32 | |
21.5 | even | 6 | inner | 21.8.g.b.5.4 | ✓ | 32 | |
21.11 | odd | 6 | 147.8.c.b.146.32 | 32 | |||
21.17 | even | 6 | 147.8.c.b.146.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.8.g.b.5.4 | ✓ | 32 | 21.5 | even | 6 | inner | |
21.8.g.b.5.13 | yes | 32 | 7.5 | odd | 6 | inner | |
21.8.g.b.17.4 | yes | 32 | 1.1 | even | 1 | trivial | |
21.8.g.b.17.13 | yes | 32 | 3.2 | odd | 2 | inner | |
147.8.c.b.146.1 | 32 | 7.4 | even | 3 | |||
147.8.c.b.146.2 | 32 | 21.17 | even | 6 | |||
147.8.c.b.146.31 | 32 | 7.3 | odd | 6 | |||
147.8.c.b.146.32 | 32 | 21.11 | odd | 6 |