Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,8,Mod(71,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.71");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 252.e (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 71.8 | ||
Character | 252.71 | ||
Dual form | 252.8.e.a.71.7 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−10.8566 | + | 3.18337i | −0.959598 | + | 0.281373i | |||||
0 | 0 | |||||||||
107.732 | − | 69.1213i | 0.841658 | − | 0.540010i | |||||
− | 512.680i | − | 1.83422i | −0.398633 | − | 0.917110i | ||||
0.398633 | − | 0.917110i | ||||||||
0 | 0 | |||||||||
− | 343.000i | − | 0.377964i | |||||||
−949.569 | + | 1093.38i | −0.655710 | + | 0.755013i | |||||
0 | 0 | |||||||||
1632.05 | + | 5565.97i | 0.516100 | + | 1.76012i | |||||
6950.61 | 1.57452 | 0.787260 | − | 0.616621i | ||||||
0.787260 | + | 0.616621i | ||||||||
0 | 0 | |||||||||
−968.015 | −0.122203 | −0.0611013 | − | 0.998132i | ||||||
−0.0611013 | + | 0.998132i | ||||||||
1091.90 | + | 3723.82i | 0.106349 | + | 0.362694i | |||||
0 | 0 | |||||||||
6828.49 | − | 14893.2i | 0.416778 | − | 0.909008i | |||||
6796.54i | 0.335519i | 0.985828 | + | 0.167759i | ||||||
−0.985828 | + | 0.167759i | ||||||||
0 | 0 | |||||||||
37771.6i | 1.26336i | 0.775228 | + | 0.631681i | ||||||
−0.775228 | + | 0.631681i | ||||||||
−35437.1 | − | 55232.2i | −0.990498 | − | 1.54379i | |||||
0 | 0 | |||||||||
−75460.1 | + | 22126.4i | −1.51091 | + | 0.443028i | |||||
2978.61 | 0.0510465 | 0.0255233 | − | 0.999674i | ||||||
0.0255233 | + | 0.999674i | ||||||||
0 | 0 | |||||||||
−184716. | −2.36437 | |||||||||
10509.4 | − | 3081.55i | 0.117265 | − | 0.0343845i | |||||
0 | 0 | |||||||||
−23708.6 | − | 36952.2i | −0.204105 | − | 0.318117i | |||||
179257.i | 1.36485i | 0.730957 | + | 0.682423i | ||||||
−0.730957 | + | 0.682423i | ||||||||
0 | 0 | |||||||||
200289.i | 1.20751i | 0.797170 | + | 0.603755i | ||||||
−0.797170 | + | 0.603755i | ||||||||
−26723.7 | + | 183427.i | −0.144169 | + | 0.989553i | |||||
0 | 0 | |||||||||
−21635.9 | − | 73787.5i | −0.0944060 | − | 0.321963i | |||||
−175849. | −0.693270 | |||||||||
0 | 0 | |||||||||
−425727. | −1.38174 | −0.690869 | − | 0.722980i | ||||||
−0.690869 | + | 0.722980i | ||||||||
−120241. | − | 410072.i | −0.355476 | − | 1.21232i | |||||
0 | 0 | |||||||||
560552. | + | 486826.i | 1.38486 | + | 1.20272i | |||||
244050.i | 0.553012i | 0.961012 | + | 0.276506i | ||||||
−0.961012 | + | 0.276506i | ||||||||
0 | 0 | |||||||||
− | 88312.9i | − | 0.169389i | −0.996407 | − | 0.0846943i | ||||
0.996407 | − | 0.0846943i | ||||||||
748805. | − | 480435.i | 1.32521 | − | 0.850257i | |||||
0 | 0 | |||||||||
−32337.6 | + | 9482.02i | −0.0489842 | + | 0.0143631i | |||||
453536. | 0.637191 | 0.318595 | − | 0.947891i | ||||||
0.318595 | + | 0.947891i | ||||||||
0 | 0 | |||||||||
−117649. | −0.142857 | |||||||||
2.00539e6 | − | 588020.i | 2.26884 | − | 0.665269i | |||||
0 | 0 | |||||||||
−104287. | + | 66910.5i | −0.102853 | + | 0.0659907i | |||||
1.57314e6i | 1.45145i | 0.687984 | + | 0.725726i | ||||||
−0.687984 | + | 0.725726i | ||||||||
0 | 0 | |||||||||
− | 3.56344e6i | − | 2.88802i | |||||||
375028. | + | 325702.i | 0.285368 | + | 0.247835i | |||||
0 | 0 | |||||||||
−570643. | − | 1.94613e6i | −0.384031 | − | 1.30970i | |||||
77228.5 | 0.0489548 | 0.0244774 | − | 0.999700i | ||||||
0.0244774 | + | 0.999700i | ||||||||
0 | 0 | |||||||||
−1.19278e6 | −0.672828 | −0.336414 | − | 0.941714i | ||||||
−0.336414 | + | 0.941714i | ||||||||
−637593. | − | 2.17446e6i | −0.339760 | − | 1.15872i | |||||
0 | 0 | |||||||||
−293788. | − | 2.07647e6i | −0.140089 | − | 0.990139i | |||||
496282.i | 0.224147i | |||||||||
0 | 0 | |||||||||
− | 1.71428e6i | − | 0.696338i | −0.937432 | − | 0.348169i | ||||
0.937432 | − | 0.348169i | ||||||||
469786. | + | 732207.i | 0.181184 | + | 0.282392i | |||||
0 | 0 | |||||||||
1.90913e6 | − | 559794.i | 0.665261 | − | 0.195068i | |||||
1.52612e6 | 0.506039 | 0.253020 | − | 0.967461i | ||||||
0.253020 | + | 0.967461i | ||||||||
0 | 0 | |||||||||
−5.69727e6 | −1.71410 | −0.857051 | − | 0.515232i | ||||||
−0.857051 | + | 0.515232i | ||||||||
4.62196e6 | − | 1.35525e6i | 1.32591 | − | 0.388784i | |||||
0 | 0 | |||||||||
2.61082e6 | + | 4.06922e6i | 0.682228 | + | 1.06332i | |||||
− | 2.38406e6i | − | 0.595113i | |||||||
0 | 0 | |||||||||
8.63828e6i | 1.97121i | 0.169068 | + | 0.985604i | ||||||
−0.169068 | + | 0.985604i | ||||||||
−7.63545e6 | − | 3.50083e6i | −1.66732 | − | 0.764463i | |||||
0 | 0 | |||||||||
−776900. | − | 2.64955e6i | −0.155603 | − | 0.530669i | |||||
866901. | 0.166416 | 0.0832082 | − | 0.996532i | ||||||
0.0832082 | + | 0.996532i | ||||||||
0 | 0 | |||||||||
3.48445e6 | 0.615416 | |||||||||
281133. | + | 958779.i | 0.0476614 | + | 0.162545i | |||||
0 | 0 | |||||||||
−6.60009e6 | + | 7.59963e6i | −1.03243 | + | 1.18878i | |||||
6.05763e6i | 0.910831i | 0.890279 | + | 0.455416i | ||||||
−0.890279 | + | 0.455416i | ||||||||
0 | 0 | |||||||||
332029.i | 0.0461883i | |||||||||
320892. | − | 205885.i | 0.0429637 | − | 0.0275656i | |||||
0 | 0 | |||||||||
−4.92387e6 | + | 1.44377e6i | −0.611447 | + | 0.179288i | |||||
1.93648e7 | 2.31729 | |||||||||
0 | 0 | |||||||||
1.19866e7 | 1.33351 | 0.666756 | − | 0.745276i | ||||||
0.666756 | + | 0.745276i | ||||||||
1.27727e6 | − | 374521.i | 0.137085 | − | 0.0401961i | |||||
0 | 0 | |||||||||
−1.98999e7 | + | 1.27678e7i | −1.98999 | + | 1.27678i | |||||
− | 9.58096e6i | − | 0.925303i | −0.886540 | − | 0.462652i | ||||
0.886540 | − | 0.462652i | ||||||||
0 | 0 | |||||||||
1.28909e7i | 1.16240i | 0.813762 | + | 0.581198i | ||||||
−0.813762 | + | 0.581198i | ||||||||
919198. | − | 1.05840e6i | 0.0801295 | − | 0.0922646i | |||||
0 | 0 | |||||||||
−5.00790e6 | − | 1.70790e7i | −0.408399 | − | 1.39281i | |||||
−6.50775e6 | −0.513556 | −0.256778 | − | 0.966470i | ||||||
−0.256778 | + | 0.966470i | ||||||||
0 | 0 | |||||||||
−2.28730e7 | −1.69173 | −0.845865 | − | 0.533397i | ||||||
−0.845865 | + | 0.533397i | ||||||||
1.13438e7 | + | 3.86869e7i | 0.812611 | + | 2.77134i | |||||
0 | 0 | |||||||||
−5.10836e6 | − | 2.34217e6i | −0.343573 | − | 0.157527i | |||||
− | 1.68905e7i | − | 1.10121i | −0.834767 | − | 0.550603i | ||||
0.834767 | − | 0.550603i | ||||||||
0 | 0 | |||||||||
− | 1.52707e6i | − | 0.0936306i | |||||||
1.23905e7 | + | 1.93118e7i | 0.737031 | + | 1.14873i | |||||
0 | 0 | |||||||||
−838440. | + | 245847.i | −0.0469770 | + | 0.0137746i | |||||
2.33121e6 | 0.126814 | |||||||||
0 | 0 | |||||||||
2.88238e7 | 1.47912 | |||||||||
1.29495e7 | − | 3.79705e6i | 0.645645 | − | 0.189316i | |||||
0 | 0 | |||||||||
1.38442e7 | + | 2.15776e7i | 0.652067 | + | 1.01631i | |||||
5.46472e7i | 2.50255i | |||||||||
0 | 0 | |||||||||
− | 341188.i | − | 0.0147802i | −0.999973 | − | 0.00739010i | ||||
0.999973 | − | 0.00739010i | ||||||||
9.79973e6 | + | 2.16082e7i | 0.413028 | + | 0.910719i | |||||
0 | 0 | |||||||||
−1.57985e6 | − | 5.38795e6i | −0.0630688 | − | 0.215091i | |||||
9.47174e6 | 0.368112 | 0.184056 | − | 0.982916i | ||||||
0.184056 | + | 0.982916i | ||||||||
0 | 0 | |||||||||
1.29557e7 | 0.477506 | |||||||||
5.45719e6 | + | 1.86113e7i | 0.195931 | + | 0.668205i | |||||
0 | 0 | |||||||||
−7.43118e6 | − | 6.45379e6i | −0.253321 | − | 0.220003i | |||||
2.45922e7i | 0.817099i | 0.912736 | + | 0.408550i | ||||||
−0.912736 | + | 0.408550i | ||||||||
0 | 0 | |||||||||
5.44958e7i | 1.72112i | 0.509348 | + | 0.860561i | ||||||
−0.509348 | + | 0.860561i | ||||||||
−1.89447e7 | + | 1.21549e7i | −0.583497 | + | 0.374373i | |||||
0 | 0 | |||||||||
−1.65685e7 | + | 4.85821e6i | −0.485595 | + | 0.142386i | |||||
−6.72830e6 | −0.192411 | |||||||||
0 | 0 | |||||||||
9.19017e7 | 2.50343 | |||||||||
6.18530e7 | − | 1.81365e7i | 1.64485 | − | 0.482302i | |||||
0 | 0 | |||||||||
−4.58646e7 | + | 2.94268e7i | −1.16295 | + | 0.746152i | |||||
4.71462e6i | 0.116760i | 0.998294 | + | 0.0583801i | ||||||
−0.998294 | + | 0.0583801i | ||||||||
0 | 0 | |||||||||
6.10409e7i | 1.44279i | 0.692526 | + | 0.721393i | ||||||
−0.692526 | + | 0.721393i | ||||||||
−4.12986e7 | − | 3.58668e7i | −0.953855 | − | 0.828399i | |||||
0 | 0 | |||||||||
7.58935e6 | + | 2.58828e7i | 0.167449 | + | 0.571070i | |||||
1.02684e8 | 2.21484 | |||||||||
0 | 0 | |||||||||
−4.67384e7 | −0.963884 | −0.481942 | − | 0.876203i | ||||||
−0.481942 | + | 0.876203i | ||||||||
−2.74989e7 | − | 9.37825e7i | −0.554645 | − | 1.89157i | |||||
0 | 0 | |||||||||
9.40396e7 | + | 1.37007e7i | 1.81506 | + | 0.264438i | |||||
− | 1.02166e6i | − | 0.0192938i | |||||||
0 | 0 | |||||||||
− | 4.74541e7i | − | 0.858257i | −0.903243 | − | 0.429128i | ||||
0.903243 | − | 0.429128i | ||||||||
1.68690e7 | + | 2.62920e7i | 0.298632 | + | 0.465447i | |||||
0 | 0 | |||||||||
−9.41161e6 | + | 2.75967e6i | −0.159693 | + | 0.0468251i | |||||
−7.81920e7 | −1.29914 | −0.649568 | − | 0.760304i | ||||||
−0.649568 | + | 0.760304i | ||||||||
0 | 0 | |||||||||
−6.18115e7 | −0.985067 | |||||||||
−3.78294e7 | + | 1.10923e7i | −0.590552 | + | 0.173161i | |||||
0 | 0 | |||||||||
−6.10430e6 | − | 9.51415e6i | −0.0914716 | − | 0.142567i | |||||
9.24523e7i | 1.35755i | 0.734346 | + | 0.678776i | ||||||
−0.734346 | + | 0.678776i | ||||||||
0 | 0 | |||||||||
6.33576e7i | 0.893646i | |||||||||
4.74622e7 | − | 1.03517e8i | 0.656226 | − | 1.43125i | |||||
0 | 0 | |||||||||
−1.92837e7 | − | 6.57654e7i | −0.256283 | − | 0.874032i | |||||
−3.31204e7 | −0.431628 | −0.215814 | − | 0.976434i | ||||||
−0.215814 | + | 0.976434i | ||||||||
0 | 0 | |||||||||
−3.97750e7 | −0.498581 | −0.249290 | − | 0.968429i | ||||||
−0.249290 | + | 0.968429i | ||||||||
−1.05697e6 | − | 3.60472e6i | −0.0129961 | − | 0.0443222i | |||||
0 | 0 | |||||||||
−2.82840e6 | + | 3.25674e6i | −0.0334717 | + | 0.0385408i | |||||
2.18262e8i | 2.53441i | |||||||||
0 | 0 | |||||||||
4.72401e7i | 0.528281i | |||||||||
4.88605e7 | − | 3.13490e7i | 0.536297 | − | 0.344090i | |||||
0 | 0 | |||||||||
−2.10236e8 | + | 6.16452e7i | −2.22366 | + | 0.652022i | |||||
−9.10602e7 | −0.945610 | −0.472805 | − | 0.881167i | ||||||
−0.472805 | + | 0.881167i | ||||||||
0 | 0 | |||||||||
7.26301e7 | 0.727221 | 0.363610 | − | 0.931551i | ||||||
0.363610 | + | 0.931551i | ||||||||
−1.30134e8 | + | 3.81580e7i | −1.27964 | + | 0.375214i | |||||
0 | 0 | |||||||||
−1.26746e7 | + | 8.13205e6i | −0.120237 | + | 0.0771443i | |||||
− | 1.49839e8i | − | 1.39635i | −0.715927 | − | 0.698175i | ||||
0.715927 | − | 0.698175i | ||||||||
0 | 0 | |||||||||
− | 7.77032e7i | − | 0.698961i | −0.936944 | − | 0.349481i | ||||
0.936944 | − | 0.349481i | ||||||||
1.75401e8 | − | 2.01964e8i | 1.55034 | − | 1.78513i | |||||
0 | 0 | |||||||||
3.04998e7 | + | 1.04017e8i | 0.260355 | + | 0.887920i | |||||
6.14853e7 | 0.515864 | |||||||||
0 | 0 | |||||||||
1.25119e8 | 1.01435 | |||||||||
−4.10366e7 | − | 1.39952e8i | −0.327067 | − | 1.11543i | |||||
0 | 0 | |||||||||
−6.61008e6 | + | 1.44168e7i | −0.0509314 | + | 0.111083i | |||||
2.62536e8i | 1.98919i | |||||||||
0 | 0 | |||||||||
− | 1.31549e7i | − | 0.0964050i | −0.998838 | − | 0.0482025i | ||||
0.998838 | − | 0.0482025i | ||||||||
1.08738e8 | + | 1.69478e8i | 0.783799 | + | 1.22163i | |||||
0 | 0 | |||||||||
7.06522e7 | − | 2.07166e7i | 0.492808 | − | 0.144501i | |||||
−4.52763e7 | −0.310696 | |||||||||
0 | 0 | |||||||||
6.86990e7 | 0.456396 | |||||||||
2.48324e8 | − | 7.28134e7i | 1.62338 | − | 0.476007i | |||||
0 | 0 | |||||||||
−2.46310e8 | − | 3.83898e8i | −1.55956 | − | 2.43073i | |||||
− | 6.57916e6i | − | 0.0410013i | |||||||
0 | 0 | |||||||||
− | 1.23865e8i | − | 0.747968i | −0.927435 | − | 0.373984i | ||||
0.927435 | − | 0.373984i | ||||||||
6.29156e7 | + | 9.16624e6i | 0.374016 | + | 0.0544908i | |||||
0 | 0 | |||||||||
5.37688e7 | + | 1.83374e8i | 0.309849 | + | 1.05671i | |||||
1.65072e8 | 0.936661 | 0.468330 | − | 0.883553i | ||||||
0.468330 | + | 0.883553i | ||||||||
0 | 0 | |||||||||
4.70535e7 | 0.258922 | 0.129461 | − | 0.991585i | ||||||
0.129461 | + | 0.991585i | ||||||||
4.86125e6 | + | 1.65789e7i | 0.0263451 | + | 0.0898478i | |||||
0 | 0 | |||||||||
−1.95996e8 | − | 1.70217e8i | −1.03048 | − | 0.894944i | |||||
− | 1.57640e8i | − | 0.816436i | −0.912885 | − | 0.408218i | ||||
0.912885 | − | 0.408218i | ||||||||
0 | 0 | |||||||||
− | 2.32519e8i | − | 1.16875i | |||||||
8.32000e6 | − | 5.33813e6i | 0.0412032 | − | 0.0264361i | |||||
0 | 0 | |||||||||
−2.53091e7 | + | 7.42112e6i | −0.121691 | + | 0.0356821i | |||||
−2.25713e8 | −1.06946 | −0.534730 | − | 0.845023i | ||||||
−0.534730 | + | 0.845023i | ||||||||
0 | 0 | |||||||||
1.45737e8 | 0.670673 | 0.335336 | − | 0.942098i | ||||||
0.335336 | + | 0.942098i | ||||||||
−3.12929e8 | + | 9.17569e7i | −1.41936 | + | 0.416183i | |||||
0 | 0 | |||||||||
−1.28500e8 | + | 8.24462e7i | −0.566292 | + | 0.363334i | |||||
6.03163e7i | 0.262032i | |||||||||
0 | 0 | |||||||||
− | 3.65635e7i | − | 0.154386i | |||||||
−2.18991e8 | − | 1.90188e8i | −0.911685 | − | 0.791776i | |||||
0 | 0 | |||||||||
−1.73962e8 | − | 5.93283e8i | −0.704150 | − | 2.40144i | |||||
1.30634e8 | 0.521432 | 0.260716 | − | 0.965416i | ||||||
0.260716 | + | 0.965416i | ||||||||
0 | 0 | |||||||||
2.07031e7 | 0.0803738 | |||||||||
1.08613e6 | + | 3.70415e6i | 0.00415875 | + | 0.0141831i | |||||
0 | 0 | |||||||||
−1.75179e8 | − | 2.03396e8i | −0.652592 | − | 0.757709i | |||||
− | 1.00167e8i | − | 0.368095i | −0.982917 | − | 0.184048i | ||||
0.982917 | − | 0.184048i | ||||||||
0 | 0 | |||||||||
1.46024e8i | 0.522248i | |||||||||
3.43037e7 | + | 5.34656e7i | 0.121041 | + | 0.188655i | |||||
0 | 0 | |||||||||
−1.02831e8 | + | 3.01521e7i | −0.353240 | + | 0.103577i | |||||
4.92409e8 | 1.66909 | 0.834547 | − | 0.550937i | ||||||
0.834547 | + | 0.550937i | ||||||||
0 | 0 | |||||||||
8.06519e8 | 2.66228 | |||||||||
−1.40655e8 | + | 4.12427e7i | −0.458214 | + | 0.134357i | |||||
0 | 0 | |||||||||
−1.18493e8 | − | 1.84683e8i | −0.376030 | − | 0.586079i | |||||
− | 1.03348e8i | − | 0.323719i | −0.986814 | − | 0.161859i | ||||
0.986814 | − | 0.161859i | ||||||||
0 | 0 | |||||||||
6.11019e8i | 1.86493i | 0.361264 | + | 0.932464i | ||||||
−0.361264 | + | 0.932464i | ||||||||
1.01222e8 | + | 4.64101e7i | 0.304989 | + | 0.139837i | |||||
0 | 0 | |||||||||
−7.82860e7 | − | 2.66988e8i | −0.229910 | − | 0.784087i | |||||
−1.28389e9 | −3.72274 | |||||||||
0 | 0 | |||||||||
6.69007e8 | 1.89126 | 0.945630 | − | 0.325245i | ||||||
0.945630 | + | 0.325245i | ||||||||
−1.73481e8 | − | 5.91640e8i | −0.484277 | − | 1.65159i | |||||
0 | 0 | |||||||||
1.66981e8 | − | 1.92269e8i | 0.454584 | − | 0.523428i | |||||
− | 3.40848e8i | − | 0.916408i | −0.888847 | − | 0.458204i | ||||
0.888847 | − | 0.458204i | ||||||||
0 | 0 | |||||||||
1.30260e8i | 0.341633i | 0.985303 | + | 0.170816i | ||||||
−0.985303 | + | 0.170816i | ||||||||
1.64412e8 | − | 1.05487e8i | 0.425912 | − | 0.273266i | |||||
0 | 0 | |||||||||
7.30465e7 | − | 2.14187e7i | 0.184637 | − | 0.0541391i | |||||
8.37090e7 | 0.209019 | |||||||||
0 | 0 | |||||||||
3.64146e8 | 0.887427 | |||||||||
−9.97742e8 | + | 2.92557e8i | −2.40229 | + | 0.704398i | |||||
0 | 0 | |||||||||
−6.13779e8 | + | 3.93802e8i | −1.44269 | + | 0.925632i | |||||
− | 4.55641e8i | − | 1.05825i | −0.848545 | − | 0.529123i | ||||
0.848545 | − | 0.529123i | ||||||||
0 | 0 | |||||||||
− | 3.95935e7i | − | 0.0897939i | |||||||
4.04258e8 | − | 4.65480e8i | 0.906019 | − | 1.04323i | |||||
0 | 0 | |||||||||
−1.50084e7 | − | 5.11848e7i | −0.0328532 | − | 0.112043i | |||||
−2.88334e6 | −0.00623802 | |||||||||
0 | 0 | |||||||||
−3.02913e7 | −0.0640229 | |||||||||
−1.94316e8 | − | 6.62698e8i | −0.405961 | − | 1.38450i | |||||
0 | 0 | |||||||||
5.62540e8 | + | 2.57923e8i | 1.14841 | + | 0.526541i | |||||
6.11513e8i | 1.23412i | |||||||||
0 | 0 | |||||||||
− | 9.01188e8i | − | 1.77759i | −0.458307 | − | 0.888794i | ||||
0.458307 | − | 0.888794i | ||||||||
−1.64789e8 | − | 2.56840e8i | −0.321367 | − | 0.500882i | |||||
0 | 0 | |||||||||
−1.11480e9 | + | 3.26882e8i | −2.12536 | + | 0.623196i | |||||
−8.22596e8 | −1.55069 | −0.775345 | − | 0.631538i | ||||||
−0.775345 | + | 0.631538i | ||||||||
0 | 0 | |||||||||
−3.31209e8 | −0.610515 | −0.305258 | − | 0.952270i | ||||||
−0.305258 | + | 0.952270i | ||||||||
5.07420e8 | − | 1.48786e8i | 0.924941 | − | 0.271211i | |||||
0 | 0 | |||||||||
5.97089e8 | + | 9.30622e8i | 1.06447 | + | 1.65908i | |||||
3.47756e8i | 0.613150i | 0.951847 | + | 0.306575i | ||||||
−0.951847 | + | 0.306575i | ||||||||
0 | 0 | |||||||||
1.24595e9i | 2.14898i | |||||||||
−1.06457e9 | + | 1.50619e8i | −1.81613 | + | 0.256954i | |||||
0 | 0 | |||||||||
3.25233e6 | + | 1.10918e7i | 0.00542875 | + | 0.0185143i | |||||
−2.56716e8 | −0.423882 | |||||||||
0 | 0 | |||||||||
1.78808e8 | 0.288932 | |||||||||
1.51064e8 | + | 5.15191e8i | 0.241490 | + | 0.823582i | |||||
0 | 0 | |||||||||
−2.66838e8 | − | 2.31742e8i | −0.417531 | − | 0.362615i | |||||
− | 1.55563e8i | − | 0.240835i | |||||||
0 | 0 | |||||||||
− | 1.14708e9i | − | 1.73858i | −0.494298 | − | 0.869292i | ||||
0.494298 | − | 0.869292i | ||||||||
9.33932e7 | − | 5.99213e7i | 0.140066 | − | 0.0898665i | |||||
0 | 0 | |||||||||
8.48900e8 | − | 2.48914e8i | 1.24665 | − | 0.365542i | |||||
−8.78878e8 | −1.27724 | |||||||||
0 | 0 | |||||||||
8.31129e8 | 1.18294 | 0.591471 | − | 0.806326i | ||||||
0.591471 | + | 0.806326i | ||||||||
6.71063e8 | − | 1.96769e8i | 0.945268 | − | 0.277171i | |||||
0 | 0 | |||||||||
3.75388e8 | − | 2.40850e8i | 0.517970 | − | 0.332331i | |||||
1.39213e9i | 1.90125i | |||||||||
0 | 0 | |||||||||
4.03536e7i | 0.0539949i | |||||||||
9.65591e7 | + | 8.38592e7i | 0.127891 | + | 0.111070i | |||||
0 | 0 | |||||||||
−2.94310e8 | − | 1.00372e9i | −0.381978 | − | 1.30270i | |||||
9.66197e8 | 1.24140 | 0.620701 | − | 0.784047i | ||||||
0.620701 | + | 0.784047i | ||||||||
0 | 0 | |||||||||
1.56923e9 | 1.97605 | 0.988027 | − | 0.154280i | ||||||
0.988027 | + | 0.154280i | ||||||||
−2.01691e8 | − | 6.87850e8i | −0.251448 | − | 0.857542i | |||||
0 | 0 | |||||||||
−1.85746e8 | + | 1.27493e9i | −0.226997 | + | 1.55807i | |||||
7.01860e8i | 0.849257i | 0.905368 | + | 0.424629i | ||||||
−0.905368 | + | 0.424629i | ||||||||
0 | 0 | |||||||||
− | 7.82411e8i | − | 0.928188i | |||||||
4.18712e8 | + | 6.52603e8i | 0.491858 | + | 0.766609i | |||||
0 | 0 | |||||||||
3.59576e8 | − | 1.05435e8i | 0.414190 | − | 0.121449i | |||||
−1.49448e9 | −1.70474 | −0.852370 | − | 0.522939i | ||||||
−0.852370 | + | 0.522939i | ||||||||
0 | 0 | |||||||||
−5.32823e8 | −0.596084 | |||||||||
4.31822e8 | − | 1.26619e8i | 0.478437 | − | 0.140287i | |||||
0 | 0 | |||||||||
2.29503e7 | + | 3.57703e7i | 0.0249421 | + | 0.0388747i | |||||
2.92088e9i | 3.14404i | |||||||||
0 | 0 | |||||||||
1.38437e9i | 1.46191i | 0.682425 | + | 0.730955i | ||||||
−0.682425 | + | 0.730955i | ||||||||
2.03394e7 | − | 4.43610e7i | 0.0212751 | − | 0.0464017i | |||||
0 | 0 | |||||||||
−6.94809e8 | − | 2.36959e9i | −0.713115 | − | 2.43202i | |||||
5.39588e8 | 0.548597 | |||||||||
0 | 0 | |||||||||
−7.73503e8 | −0.771758 | −0.385879 | − | 0.922549i | ||||||
−0.385879 | + | 0.922549i | ||||||||
−1.50383e8 | − | 5.12868e8i | −0.148644 | − | 0.506938i | |||||
0 | 0 | |||||||||
−4.30664e8 | + | 4.95885e8i | −0.417812 | + | 0.481087i | |||||
− | 1.73524e8i | − | 0.166788i | |||||||
0 | 0 | |||||||||
6.35484e8i | 0.599608i | 0.954001 | + | 0.299804i | ||||||
−0.954001 | + | 0.299804i | ||||||||
2.08621e9 | − | 1.33852e9i | 1.95036 | − | 1.25136i | |||||
0 | 0 | |||||||||
9.88606e8 | − | 2.89879e8i | 0.907406 | − | 0.266069i | |||||
1.60965e9 | 1.46399 | 0.731993 | − | 0.681312i | ||||||
0.731993 | + | 0.681312i | ||||||||
0 | 0 | |||||||||
−1.22226e9 | −1.09157 | |||||||||
−7.88518e8 | + | 2.31209e8i | −0.697840 | + | 0.204620i | |||||
0 | 0 | |||||||||
1.29135e9 | − | 8.28533e8i | 1.12236 | − | 0.720110i | |||||
− | 6.09066e8i | − | 0.524615i | −0.964984 | − | 0.262308i | ||||
0.964984 | − | 0.262308i | ||||||||
0 | 0 | |||||||||
2.02442e7i | 0.0171271i | |||||||||
1.11716e8 | − | 1.28635e8i | 0.0936728 | − | 0.107859i | |||||
0 | 0 | |||||||||
4.76995e8 | + | 1.62675e9i | 0.392895 | + | 1.33994i | |||||
4.42868e9 | 3.61563 | |||||||||
0 | 0 | |||||||||
−2.25970e9 | −1.81252 | −0.906262 | − | 0.422717i | ||||||
−0.906262 | + | 0.422717i | ||||||||
2.47358e8 | + | 8.43594e8i | 0.196669 | + | 0.670722i | |||||
0 | 0 | |||||||||
−1.26133e9 | + | 2.75101e9i | −0.985416 | + | 2.14923i | |||||
− | 1.34647e9i | − | 1.04278i | −0.853319 | − | 0.521389i | ||||
0.853319 | − | 0.521389i | ||||||||
0 | 0 | |||||||||
− | 1.93883e8i | − | 0.147561i | |||||||
−6.62248e8 | − | 1.03218e9i | −0.499673 | − | 0.778789i | |||||
0 | 0 | |||||||||
−6.67522e8 | + | 1.95730e8i | −0.495022 | + | 0.145150i | |||||
−2.95906e9 | −2.17557 | |||||||||
0 | 0 | |||||||||
1.51324e9 | 1.09364 | 0.546821 | − | 0.837250i | ||||||
0.546821 | + | 0.837250i | ||||||||
−1.35837e9 | + | 3.98302e8i | −0.973365 | + | 0.285410i | |||||
0 | 0 | |||||||||
8.91038e8 | + | 1.38877e9i | 0.627706 | + | 0.978340i | |||||
− | 2.64894e7i | − | 0.0185032i | |||||||
0 | 0 | |||||||||
− | 4.44443e8i | − | 0.305244i | |||||||
2.58690e7 | − | 1.77560e8i | 0.0176178 | − | 0.120926i | |||||
0 | 0 | |||||||||
−8.35749e8 | − | 2.85025e9i | −0.559704 | − | 1.90882i | |||||
7.19570e7 | 0.0477886 | 0.0238943 | − | 0.999714i | ||||||
0.0238943 | + | 0.999714i | ||||||||
0 | 0 | |||||||||
−1.76118e8 | −0.115031 | −0.0575156 | − | 0.998345i | ||||||
−0.0575156 | + | 0.998345i | ||||||||
4.18770e7 | + | 1.42818e8i | 0.0271258 | + | 0.0925101i | |||||
0 | 0 | |||||||||
−1.72004e9 | − | 1.49381e9i | −1.09586 | − | 0.951731i | |||||
− | 1.25543e9i | − | 0.793290i | |||||||
0 | 0 | |||||||||
4.09122e8i | 0.254305i | |||||||||
−7.01095e8 | + | 4.49824e8i | −0.432239 | + | 0.277326i | |||||
0 | 0 | |||||||||
4.91547e8 | − | 1.44131e8i | 0.298144 | − | 0.0874215i | |||||
−1.07945e9 | −0.649430 | −0.324715 | − | 0.945812i | ||||||
−0.324715 | + | 0.945812i | ||||||||
0 | 0 | |||||||||
−2.09096e9 | −1.23777 | −0.618884 | − | 0.785483i | ||||||
−0.618884 | + | 0.785483i | ||||||||
−7.45839e8 | + | 2.18695e8i | −0.437957 | + | 0.128417i | |||||
0 | 0 | |||||||||
−2.46416e9 | + | 1.58101e9i | −1.42386 | + | 0.913551i | |||||
1.12507e8i | 0.0644902i | |||||||||
0 | 0 | |||||||||
2.09571e9i | 1.18224i | 0.806585 | + | 0.591118i | ||||||
−0.806585 | + | 0.591118i | ||||||||
3.89618e9 | + | 3.38373e9i | 2.18049 | + | 1.89370i | |||||
0 | 0 | |||||||||
2.09439e7 | + | 7.14274e7i | 0.0115367 | + | 0.0393448i | |||||
−4.95891e8 | −0.271002 | −0.135501 | − | 0.990777i | ||||||
−0.135501 | + | 0.990777i | ||||||||
0 | 0 | |||||||||
3.10563e9 | 1.67067 | |||||||||
3.94310e8 | + | 1.34476e9i | 0.210458 | + | 0.717749i | |||||
0 | 0 | |||||||||
−7.12230e8 | + | 1.00769e8i | −0.374237 | + | 0.0529487i | |||||
− | 2.38831e9i | − | 1.24517i | −0.782551 | − | 0.622586i | ||||
0.782551 | − | 0.622586i | ||||||||
0 | 0 | |||||||||
1.69629e9i | 0.870729i | |||||||||
−1.16749e9 | − | 1.81965e9i | −0.594662 | − | 0.926839i | |||||
0 | 0 | |||||||||
−1.79212e9 | + | 5.25485e8i | −0.898818 | + | 0.263551i | |||||
1.70225e8 | 0.0847195 | |||||||||
0 | 0 | |||||||||
−1.91773e9 | −0.939899 | −0.469949 | − | 0.882693i | ||||||
−0.469949 | + | 0.882693i | ||||||||
−5.10842e8 | + | 1.49789e8i | −0.248461 | + | 0.0728535i | |||||
0 | 0 | |||||||||
−1.05553e8 | − | 1.64515e8i | −0.0505615 | − | 0.0788050i | |||||
− | 6.71193e8i | − | 0.319076i | −0.987192 | − | 0.159538i | ||||
0.987192 | − | 0.159538i | ||||||||
0 | 0 | |||||||||
1.48992e9i | 0.697635i | 0.937191 | + | 0.348817i | ||||||
−0.937191 | + | 0.348817i | ||||||||
2.66971e9 | + | 1.22406e9i | 1.24066 | + | 0.568838i | |||||
0 | 0 | |||||||||
5.01828e8 | + | 1.71144e9i | 0.229723 | + | 0.783451i | |||||
1.72985e9 | 0.785956 | 0.392978 | − | 0.919548i | ||||||
0.392978 | + | 0.919548i | ||||||||
0 | 0 | |||||||||
−5.87998e8 | −0.263191 | |||||||||
7.40195e8 | + | 2.52437e9i | 0.328854 | + | 1.12153i | |||||
0 | 0 | |||||||||
−7.33338e7 | + | 8.44397e7i | −0.0321002 | + | 0.0369615i | |||||
− | 6.13828e8i | − | 0.266706i | |||||||
0 | 0 | |||||||||
− | 6.97702e9i | − | 2.98705i | |||||||
2.51147e8 | − | 1.61137e8i | 0.106734 | − | 0.0684810i | |||||
0 | 0 | |||||||||
2.45048e9 | − | 7.18529e8i | 1.02625 | − | 0.300917i | |||||
3.39296e9 | 1.41060 | 0.705301 | − | 0.708908i | ||||||
0.705301 | + | 0.708908i | ||||||||
0 | 0 | |||||||||
4.12111e8 | 0.168852 | |||||||||
−1.58221e9 | + | 4.63936e8i | −0.643577 | + | 0.188709i | |||||
0 | 0 | |||||||||
3.10525e9 | − | 1.99234e9i | 1.24491 | − | 0.798738i | |||||
− | 6.14532e9i | − | 2.44595i | |||||||
0 | 0 | |||||||||
− | 2.58539e9i | − | 1.01432i | −0.861852 | − | 0.507159i | ||||
0.861852 | − | 0.507159i | ||||||||
1.13262e9 | − | 1.30415e9i | 0.441180 | − | 0.507994i | |||||
0 | 0 | |||||||||
−1.92009e8 | − | 6.54831e8i | −0.0737286 | − | 0.251445i | |||||
1.16509e7 | 0.00444194 | 0.00222097 | − | 0.999998i | ||||||
0.00222097 | + | 0.999998i | ||||||||
0 | 0 | |||||||||
−1.21833e9 | −0.457932 | |||||||||
1.16395e8 | + | 3.96956e8i | 0.0434401 | + | 0.148149i | |||||
0 | 0 | |||||||||
2.98294e9 | + | 1.36767e9i | 1.09764 | + | 0.503263i | |||||
− | 5.23459e8i | − | 0.191265i | |||||||
0 | 0 | |||||||||
− | 6.10284e8i | − | 0.219877i | −0.993938 | − | 0.109939i | ||||
0.993938 | − | 0.109939i | ||||||||
3.77728e9 | + | 5.88726e9i | 1.35140 | + | 2.10629i | |||||
0 | 0 | |||||||||
−1.41824e9 | + | 4.15856e8i | −0.500365 | + | 0.146717i | |||||
5.36664e9 | 1.88025 | 0.940123 | − | 0.340835i | ||||||
0.940123 | + | 0.340835i | ||||||||
0 | 0 | |||||||||
−4.91197e9 | −1.69721 | |||||||||
−2.24766e8 | + | 6.59058e7i | −0.0771266 | + | 0.0226150i | |||||
0 | 0 | |||||||||
−2.35834e7 | − | 3.67570e7i | −0.00798146 | − | 0.0124399i | |||||
1.27945e9i | 0.430043i | 0.976609 | + | 0.215022i | ||||||
−0.976609 | + | 0.215022i | ||||||||
0 | 0 | |||||||||
1.95416e9i | 0.647869i | |||||||||
2.54934e9 | + | 1.65053e9i | 0.839425 | + | 0.543475i | |||||
0 | 0 | |||||||||
3.18870e8 | + | 1.08748e9i | 0.103572 | + | 0.353224i | |||||
6.60893e9 | 2.13209 | |||||||||
0 | 0 | |||||||||
3.15235e9 | 1.00327 | |||||||||
−4.64850e8 | − | 1.58533e9i | −0.146946 | − | 0.501148i | |||||
0 | 0 | |||||||||
−5.42623e8 | − | 4.71255e8i | −0.169234 | − | 0.146975i | |||||
1.78970e9i | 0.554431i | 0.960808 | + | 0.277216i | ||||||
−0.960808 | + | 0.277216i | ||||||||
0 | 0 | |||||||||
1.61533e9i | 0.493748i | 0.969048 | + | 0.246874i | ||||||
−0.969048 | + | 0.246874i | ||||||||
1.02041e9 | − | 6.54699e8i | 0.309825 | − | 0.198784i | |||||
0 | 0 | |||||||||
−5.34589e9 | + | 1.56752e9i | −1.60166 | + | 0.469638i | |||||
−1.36127e9 | −0.405142 | |||||||||
0 | 0 | |||||||||
−3.39595e9 | −0.997394 | |||||||||
−8.75607e9 | + | 2.56745e9i | −2.55472 | + | 0.749094i | |||||
0 | 0 | |||||||||
1.39574e9 | − | 8.95512e8i | 0.401897 | − | 0.257858i | |||||
− | 2.36244e8i | − | 0.0675795i | |||||||
0 | 0 | |||||||||
3.33640e9i | 0.941975i | |||||||||
1.87435e9 | + | 1.62783e9i | 0.525744 | + | 0.456596i | |||||
0 | 0 | |||||||||
3.28994e8 | + | 1.12201e9i | 0.0910857 | + | 0.310640i | |||||
−8.17732e8 | −0.224932 | |||||||||
0 | 0 | |||||||||
−2.11635e9 | −0.574642 | −0.287321 | − | 0.957834i | ||||||
−0.287321 | + | 0.957834i | ||||||||
−1.94510e9 | − | 6.63360e9i | −0.524740 | − | 1.78958i | |||||
0 | 0 | |||||||||
−1.24667e9 | − | 1.81629e8i | −0.332014 | − | 0.0483715i | |||||
1.17266e10i | 3.10301i | |||||||||
0 | 0 | |||||||||
− | 3.87336e9i | − | 1.01189i | −0.862566 | − | 0.505944i | ||||
0.862566 | − | 0.505944i | ||||||||
1.69984e9 | + | 2.64937e9i | 0.441242 | + | 0.687719i | |||||
0 | 0 | |||||||||
1.39387e10 | − | 4.08710e9i | 3.57234 | − | 1.04748i | |||||
−6.77084e9 | −1.72430 | |||||||||
0 | 0 | |||||||||
2.96293e9 | 0.745047 | |||||||||
−7.26315e9 | + | 2.12970e9i | −1.81485 | + | 0.532149i | |||||
0 | 0 | |||||||||
3.76682e9 | + | 5.87096e9i | 0.929423 | + | 1.44860i | |||||
3.18813e9i | 0.781705i | 0.920453 | + | 0.390853i | ||||||
−0.920453 | + | 0.390853i | ||||||||
0 | 0 | |||||||||
8.54882e7i | 0.0206997i | |||||||||
−1.20079e9 | + | 2.61896e9i | −0.288940 | + | 0.630189i | |||||
0 | 0 | |||||||||
1.08505e9 | + | 3.70046e9i | 0.257853 | + | 0.879384i | |||||
−1.86008e9 | −0.439292 | −0.219646 | − | 0.975580i | ||||||
−0.219646 | + | 0.975580i | ||||||||
0 | 0 | |||||||||
−8.65943e9 | −2.01985 | |||||||||
−4.14667e8 | − | 1.41419e9i | −0.0961263 | − | 0.327830i | |||||
0 | 0 | |||||||||
−1.44916e9 | + | 1.66862e9i | −0.331815 | + | 0.382066i | |||||
− | 4.37966e9i | − | 0.996661i | −0.866987 | − | 0.498331i | ||||
0.866987 | − | 0.498331i | ||||||||
0 | 0 | |||||||||
− | 1.50649e8i | − | 0.0338642i | −0.999857 | − | 0.0169321i | ||||
0.999857 | − | 0.0169321i | ||||||||
−7.24855e8 | + | 4.65069e8i | −0.161944 | + | 0.103904i | |||||
0 | 0 | |||||||||
−9.08796e8 | + | 2.66477e8i | −0.200574 | + | 0.0588123i | |||||
−5.50197e8 | −0.120693 | |||||||||
0 | 0 | |||||||||
−2.10867e9 | −0.456975 | −0.228488 | − | 0.973547i | ||||||
−0.228488 | + | 0.973547i | ||||||||
−3.95339e9 | + | 1.15921e9i | −0.851574 | + | 0.249698i | |||||
0 | 0 | |||||||||
9.90078e9 | − | 6.35237e9i | 2.10703 | − | 1.35188i | |||||
− | 2.97347e8i | − | 0.0628995i | |||||||
0 | 0 | |||||||||
1.09343e10i | 2.28534i | |||||||||
5.40995e9 | − | 6.22925e9i | 1.12395 | − | 1.29417i | |||||
0 | 0 | |||||||||
1.45048e9 | + | 4.94672e9i | 0.297762 | + | 1.01549i | |||||
−8.38246e9 | −1.71056 | −0.855280 | − | 0.518167i | ||||||
−0.855280 | + | 0.518167i | ||||||||
0 | 0 | |||||||||
−7.56522e9 | −1.52552 | |||||||||
1.26041e8 | + | 4.29852e8i | 0.0252656 | + | 0.0861661i | |||||
0 | 0 | |||||||||
−2.90708e9 | + | 6.34044e9i | −0.575878 | + | 1.25601i | |||||
6.67307e8i | 0.131412i | 0.997839 | + | 0.0657059i | ||||||
−0.997839 | + | 0.0657059i | ||||||||
0 | 0 | |||||||||
− | 1.19517e9i | − | 0.232605i | |||||||
3.25881e8 | + | 5.07917e8i | 0.0630517 | + | 0.0982722i | |||||
0 | 0 | |||||||||
3.13033e7 | − | 9.17874e6i | 0.00598599 | − | 0.00175521i | |||||
−4.39677e9 | −0.835872 | −0.417936 | − | 0.908476i | ||||||
−0.417936 | + | 0.908476i | ||||||||
0 | 0 | |||||||||
−7.73210e9 | −1.45290 | −0.726452 | − | 0.687217i | ||||||
−0.726452 | + | 0.687217i | ||||||||
3.28861e8 | − | 9.64285e7i | 0.0614363 | − | 0.0180143i | |||||
0 | 0 | |||||||||
4.21923e9 | + | 6.57608e9i | 0.779119 | + | 1.21433i | |||||
− | 1.47774e10i | − | 2.71303i | |||||||
0 | 0 | |||||||||
− | 4.36451e9i | − | 0.792091i | −0.918231 | − | 0.396045i | ||||
0.918231 | − | 0.396045i | ||||||||
−6.92834e9 | − | 1.00940e9i | −1.25016 | − | 0.182138i | |||||
0 | 0 | |||||||||
−1.94667e9 | − | 6.63896e9i | −0.347247 | − | 1.18426i | |||||
−4.39030e8 | −0.0778664 | |||||||||
0 | 0 | |||||||||
1.20038e9 | 0.210478 | 0.105239 | − | 0.994447i | ||||||
0.105239 | + | 0.994447i | ||||||||
2.86882e9 | + | 9.78385e9i | 0.500165 | + | 1.70577i | |||||
0 | 0 | |||||||||
2.60667e9 | + | 2.26383e9i | 0.449318 | + | 0.390221i | |||||
− | 8.52396e9i | − | 1.46098i | −0.682925 | − | 0.730488i | ||||
0.682925 | − | 0.730488i | ||||||||
0 | 0 | |||||||||
− | 4.84688e9i | − | 0.821381i | −0.911775 | − | 0.410691i | ||||
0.911775 | − | 0.410691i | ||||||||
1.10624e10 | − | 7.09766e9i | 1.86414 | − | 1.19604i | |||||
0 | 0 | |||||||||
8.93061e9 | − | 2.61863e9i | 1.48804 | − | 0.436322i | |||||
2.07777e9 | 0.344262 | |||||||||
0 | 0 | |||||||||
1.35856e10 | 2.22586 | |||||||||
3.59581e9 | − | 1.05436e9i | 0.585850 | − | 0.171783i | |||||
0 | 0 | |||||||||
−5.03523e9 | + | 3.23062e9i | −0.811261 | + | 0.520507i | |||||
− | 2.89348e9i | − | 0.463599i | |||||||
0 | 0 | |||||||||
− | 9.50221e9i | − | 1.50564i | −0.658225 | − | 0.752821i | ||||
0.658225 | − | 0.752821i | ||||||||
−9.44489e9 | − | 8.20265e9i | −1.48829 | − | 1.29254i | |||||
0 | 0 | |||||||||
−1.10704e9 | − | 3.77545e9i | −0.172524 | − | 0.588378i | |||||
−1.74920e8 | −0.0271102 | |||||||||
0 | 0 | |||||||||
1.13886e8 | 0.0174575 | |||||||||
−3.96631e9 | − | 1.35268e10i | −0.604665 | − | 2.06216i | |||||
0 | 0 | |||||||||
1.10781e10 | − | 5.02413e9i | 1.67046 | − | 0.757584i | |||||
8.25267e8i | 0.123763i | 0.998083 | + | 0.0618816i | ||||||
−0.998083 | + | 0.0618816i | ||||||||
0 | 0 | |||||||||
− | 1.46353e9i | − | 0.217102i | −0.994091 | − | 0.108551i | ||||
0.994091 | − | 0.108551i | ||||||||
−7.06187e7 | − | 1.10066e8i | −0.0104188 | − | 0.0162388i | |||||
0 | 0 | |||||||||
2.78707e9 | − | 8.17224e8i | 0.406756 | − | 0.119269i | |||||
−8.14995e9 | −1.18301 | −0.591507 | − | 0.806300i | ||||||
−0.591507 | + | 0.806300i | ||||||||
0 | 0 | |||||||||
5.36785e8 | 0.0770804 | |||||||||
−1.94125e9 | + | 5.69213e8i | −0.277259 | + | 0.0812976i | |||||
0 | 0 | |||||||||
−3.28009e9 | − | 5.11234e9i | −0.463468 | − | 0.722359i | |||||
7.90957e9i | 1.11162i | 0.831309 | + | 0.555811i | ||||||
−0.831309 | + | 0.555811i | ||||||||
0 | 0 | |||||||||
− | 4.85598e9i | − | 0.675199i | |||||||
3.63468e9 | + | 1.66649e9i | 0.502692 | + | 0.230483i | |||||
0 | 0 | |||||||||
4.95215e8 | + | 1.68889e9i | 0.0677646 | + | 0.231105i | |||||
1.79941e9 | 0.244924 | 0.122462 | − | 0.992473i | ||||||
0.122462 | + | 0.992473i | ||||||||
0 | 0 | |||||||||
−2.56731e9 | −0.345759 | −0.172879 | − | 0.984943i | ||||||
−0.172879 | + | 0.984943i | ||||||||
3.65158e9 | + | 1.24534e10i | 0.489191 | + | 1.66834i | |||||
0 | 0 | |||||||||
−8.23182e8 | + | 9.47848e8i | −0.109121 | + | 0.125646i | |||||
− | 6.64211e9i | − | 0.875852i | |||||||
0 | 0 | |||||||||
5.33937e8i | 0.0696707i | |||||||||
−8.42380e9 | + | 5.40473e9i | −1.09343 | + | 0.701546i | |||||
0 | 0 | |||||||||
9.54164e9 | − | 2.79780e9i | 1.22564 | − | 0.359380i | |||||
−8.29052e9 | −1.05938 | |||||||||
0 | 0 | |||||||||
1.58520e9 | 0.200462 | 0.100231 | − | 0.994964i | ||||||
0.100231 | + | 0.994964i | ||||||||
−9.02325e9 | + | 2.64579e9i | −1.13515 | + | 0.332848i | |||||
0 | 0 | |||||||||
−6.65909e9 | + | 4.27249e9i | −0.829090 | + | 0.531946i | |||||
1.07207e9i | 0.132789i | 0.997793 | + | 0.0663947i | ||||||
−0.997793 | + | 0.0663947i | ||||||||
0 | 0 | |||||||||
− | 4.11142e9i | − | 0.504020i | |||||||
−3.30873e9 | + | 3.80982e9i | −0.403534 | + | 0.464647i | |||||
0 | 0 | |||||||||
−4.43166e9 | − | 1.51138e10i | −0.534960 | − | 1.82444i | |||||
4.50598e9 | 0.541149 | 0.270575 | − | 0.962699i | ||||||
0.270575 | + | 0.962699i | ||||||||
0 | 0 | |||||||||
1.26079e10 | 1.49874 | |||||||||
−1.28461e8 | − | 4.38104e8i | −0.0151927 | − | 0.0518134i | |||||
0 | 0 | |||||||||
−1.31526e9 | − | 6.03043e8i | −0.153976 | − | 0.0705975i | |||||
− | 1.52283e9i | − | 0.177371i | |||||||
0 | 0 | |||||||||
2.55258e9i | 0.294311i | 0.989113 | + | 0.147155i | ||||||
−0.989113 | + | 0.147155i | ||||||||
6.39042e9 | + | 9.96009e9i | 0.733092 | + | 1.14259i | |||||
0 | 0 | |||||||||
−1.04896e10 | + | 3.07577e9i | −1.19125 | + | 0.349297i | |||||
2.79389e10 | 3.15692 | |||||||||
0 | 0 | |||||||||
−1.65869e9 | −0.185546 | |||||||||
−1.70366e10 | + | 4.99546e9i | −1.89622 | + | 0.556008i | |||||
0 | 0 | |||||||||
4.37936e9 | + | 6.82566e9i | 0.482578 | + | 0.752145i | |||||
− | 3.27800e9i | − | 0.359414i | −0.983720 | − | 0.179707i | ||||
0.983720 | − | 0.179707i | ||||||||
0 | 0 | |||||||||
− | 1.60804e10i | − | 1.74563i | |||||||
−2.04201e9 | − | 1.44327e10i | −0.220573 | − | 1.55899i | |||||
0 | 0 | |||||||||
−2.23428e9 | − | 7.61983e9i | −0.238958 | − | 0.814946i | |||||
−3.28627e9 | −0.349732 | |||||||||
0 | 0 | |||||||||
−1.00606e10 | −1.06014 | −0.530069 | − | 0.847954i | ||||||
−0.530069 | + | 0.847954i | ||||||||
2.49071e9 | + | 8.49434e9i | 0.261167 | + | 0.890688i | |||||
0 | 0 | |||||||||
−6.62327e9 | − | 5.75214e9i | −0.687689 | − | 0.597241i | |||||
5.96582e8i | 0.0616391i | |||||||||
0 | 0 | |||||||||
3.44947e9i | 0.352924i | |||||||||
−3.56814e9 | + | 2.28933e9i | −0.363284 | + | 0.233084i | |||||
0 | 0 | |||||||||
1.62249e10 | − | 4.75747e9i | 1.63587 | − | 0.479668i | |||||
−1.81069e10 | −1.81675 | −0.908373 | − | 0.418161i | ||||||
−0.908373 | + | 0.418161i | ||||||||
0 | 0 | |||||||||
4.42159e9 | 0.439344 | |||||||||
5.78465e9 | − | 1.69617e9i | 0.572001 | − | 0.167722i | |||||
0 | 0 | |||||||||
−4.28505e9 | + | 2.74930e9i | −0.419635 | + | 0.269239i | |||||
− | 3.31117e10i | − | 3.22700i | |||||||
0 | 0 | |||||||||
1.39140e10i | 1.34301i | 0.740998 | + | 0.671507i | ||||||
−0.740998 | + | 0.671507i | ||||||||
−3.63033e8 | − | 3.15285e8i | −0.0348727 | − | 0.0302861i | |||||
0 | 0 | |||||||||
−9.29823e9 | − | 3.17108e10i | −0.884648 | − | 3.01702i | |||||
6.00222e8 | 0.0568331 | |||||||||
0 | 0 | |||||||||
−5.67481e8 | −0.0532215 | −0.0266107 | − | 0.999646i | ||||||
−0.0266107 | + | 0.999646i | ||||||||
−4.40696e9 | − | 1.50296e10i | −0.411342 | − | 1.40285i | |||||
0 | 0 | |||||||||
−7.95995e7 | + | 5.46358e8i | −0.00735933 | + | 0.0505132i | |||||
− | 1.19153e10i | − | 1.09640i | |||||||
0 | 0 | |||||||||
2.66240e9i | 0.242671i | 0.992612 | + | 0.121335i | ||||||
−0.992612 | + | 0.121335i | ||||||||
1.50866e10 | + | 2.35139e10i | 1.36861 | + | 2.13311i | |||||
0 | 0 | |||||||||
−5.85810e9 | + | 1.71771e9i | −0.526433 | + | 0.154360i | |||||
1.17550e10 | 1.05139 | 0.525693 | − | 0.850674i | ||||||
0.525693 | + | 0.850674i | ||||||||
0 | 0 | |||||||||
2.41709e9 | 0.214164 | |||||||||
8.39763e9 | − | 2.46235e9i | 0.740578 | − | 0.217152i | |||||
0 | 0 | |||||||||
3.26530e9 | + | 5.08929e9i | 0.285277 | + | 0.444633i | |||||
2.23216e9i | 0.194106i | |||||||||
0 | 0 | |||||||||
3.68001e9i | 0.317037i | 0.987356 | + | 0.158518i | ||||||
−0.987356 | + | 0.158518i | ||||||||
3.09697e9 | − | 6.75460e9i | 0.265567 | − | 0.579212i | |||||
0 | 0 | |||||||||
5.52391e8 | + | 1.88388e9i | 0.0469296 | + | 0.160049i | |||||
3.12945e10 | 2.64639 | |||||||||
0 | 0 | |||||||||
−6.00364e9 | −0.503013 | −0.251507 | − | 0.967856i | ||||||
−0.251507 | + | 0.967856i | ||||||||
−2.02298e9 | − | 6.89921e9i | −0.168714 | − | 0.575383i | |||||
0 | 0 | |||||||||
−1.83882e10 | + | 2.11730e10i | −1.51947 | + | 1.74958i | |||||
2.05678e10i | 1.69177i | 0.533366 | + | 0.845885i | ||||||
−0.533366 | + | 0.845885i | ||||||||
0 | 0 | |||||||||
7.84545e9i | 0.639414i | |||||||||
−9.81013e9 | + | 6.29420e9i | −0.795881 | + | 0.510639i | |||||
0 | 0 | |||||||||
−1.74754e10 | + | 5.12413e9i | −1.40484 | + | 0.411926i | |||||
−7.47584e7 | −0.00598241 | |||||||||
0 | 0 | |||||||||
−3.33896e9 | −0.264770 | −0.132385 | − | 0.991198i | ||||||
−0.132385 | + | 0.991198i | ||||||||
1.32696e10 | − | 3.89091e9i | 1.04747 | − | 0.307138i | |||||
0 | 0 | |||||||||
7.82461e9 | − | 5.02029e9i | 0.612072 | − | 0.392707i | |||||
4.49786e9i | 0.350250i | 0.984546 | + | 0.175125i | ||||||
−0.984546 | + | 0.175125i | ||||||||
0 | 0 | |||||||||
− | 3.69965e10i | − | 2.85499i | |||||||
−1.13822e10 | + | 1.31059e10i | −0.874396 | + | 1.00682i | |||||
0 | 0 | |||||||||
1.93888e9 | + | 6.61240e9i | 0.147613 | + | 0.503420i | |||||
−9.21814e9 | −0.698654 | |||||||||
0 | 0 | |||||||||
1.06075e10 | 0.796770 | |||||||||
−6.44450e7 | − | 2.19784e8i | −0.00481909 | − | 0.0164351i | |||||
0 | 0 | |||||||||
−8.03365e8 | + | 1.75217e9i | −0.0595397 | + | 0.129858i | |||||
2.39618e10i | 1.76798i | |||||||||
0 | 0 | |||||||||
1.52635e10i | 1.11620i | 0.829773 | + | 0.558101i | ||||||
−0.829773 | + | 0.558101i | ||||||||
−1.03571e10 | − | 1.61425e10i | −0.754043 | − | 1.17525i | |||||
0 | 0 | |||||||||
−4.80805e10 | + | 1.40981e10i | −3.46956 | + | 1.01734i | |||||
−5.79345e9 | −0.416216 | |||||||||
0 | 0 | |||||||||
1.15463e9 | 0.0822214 | |||||||||
2.45327e10 | − | 7.19346e9i | 1.73929 | − | 0.509995i | |||||
0 | 0 | |||||||||
−5.37095e9 | − | 8.37115e9i | −0.377446 | − | 0.588287i | |||||
− | 2.04580e8i | − | 0.0143139i | −0.999974 | − | 0.00715696i | ||||
0.999974 | − | 0.00715696i | ||||||||
0 | 0 | |||||||||
3.08248e9i | 0.213790i | |||||||||
4.93630e9 | − | 3.38820e10i | 0.340869 | − | 2.33967i | |||||
0 | 0 | |||||||||
4.28632e9 | + | 1.46181e10i | 0.293410 | + | 1.00065i | |||||
−3.95995e10 | −2.69889 | |||||||||
0 | 0 | |||||||||
−5.23786e8 | −0.0353890 | |||||||||
6.17200e8 | + | 2.10491e9i | 0.0415196 | + | 0.141599i | |||||
0 | 0 | |||||||||
1.04756e10 | + | 9.09779e9i | 0.698616 | + | 0.606731i | |||||
− | 8.93941e9i | − | 0.593594i | −0.954941 | − | 0.296797i | ||||
0.954941 | − | 0.296797i | ||||||||
0 | 0 | |||||||||
− | 5.70590e9i | − | 0.375622i | −0.982205 | − | 0.187811i | ||||
0.982205 | − | 0.187811i | ||||||||
6.62395e9 | − | 4.24994e9i | 0.434181 | − | 0.278572i | |||||
0 | 0 | |||||||||
3.21254e10 | − | 9.41980e9i | 2.08768 | − | 0.612148i | |||||
−2.43288e10 | −1.57423 | |||||||||
0 | 0 | |||||||||
3.33572e9 | 0.213999 | |||||||||
−1.64286e10 | + | 4.81719e9i | −1.04946 | + | 0.307721i | |||||
0 | 0 | |||||||||
1.34794e10 | − | 8.64842e9i | 0.853733 | − | 0.547757i | |||||
1.17803e10i | 0.742942i | 0.928445 | + | 0.371471i | ||||||
−0.928445 | + | 0.371471i | ||||||||
0 | 0 | |||||||||
7.47614e9i | 0.467496i | 0.972297 | + | 0.233748i | ||||||
−0.972297 | + | 0.233748i | ||||||||
−1.40946e10 | − | 1.22408e10i | −0.877624 | − | 0.762194i | |||||
0 | 0 | |||||||||
8.43255e7 | + | 2.87585e8i | 0.00520630 | + | 0.0177556i | |||||
−5.68386e9 | −0.349441 | −0.174721 | − | 0.984618i | ||||||
−0.174721 | + | 0.984618i | ||||||||
0 | 0 | |||||||||
1.59689e10 | 0.973498 | 0.486749 | − | 0.873542i | ||||||
0.486749 | + | 0.873542i | ||||||||
1.41483e9 | + | 4.82515e9i | 0.0858875 | + | 0.292912i | |||||
0 | 0 | |||||||||
2.84391e8 | + | 2.01006e9i | 0.0171193 | + | 0.120998i | |||||
− | 7.99607e8i | − | 0.0479313i | |||||||
0 | 0 | |||||||||
4.00875e10i | 2.38290i | |||||||||
1.81468e10 | + | 2.82836e10i | 1.07418 | + | 1.67422i | |||||
0 | 0 | |||||||||
−7.81210e8 | + | 2.29066e8i | −0.0458578 | + | 0.0134464i | |||||
1.98205e10 | 1.15864 | 0.579318 | − | 0.815101i | ||||||
0.579318 | + | 0.815101i | ||||||||
0 | 0 | |||||||||
−1.48833e10 | −0.862807 | |||||||||
1.91204e9 | − | 5.60648e8i | 0.110384 | − | 0.0323666i | |||||
0 | 0 | |||||||||
−9.09285e8 | − | 1.41721e9i | −0.0520597 | − | 0.0811401i | |||||
3.16895e10i | 1.80683i | |||||||||
0 | 0 | |||||||||
− | 9.88656e9i | − | 0.559053i | |||||||
2.34291e10 | + | 1.07422e10i | 1.31938 | + | 0.604933i | |||||
0 | 0 | |||||||||
3.99651e9 | + | 1.36297e10i | 0.223210 | + | 0.761239i | |||||
−1.26808e9 | −0.0705329 | |||||||||
0 | 0 | |||||||||
−1.55847e10 | −0.859762 | −0.429881 | − | 0.902886i | ||||||
−0.429881 | + | 0.902886i | ||||||||
−1.30239e9 | − | 4.44168e9i | −0.0715546 | − | 0.244031i | |||||
0 | 0 | |||||||||
6.17956e9 | − | 7.11542e9i | 0.336744 | − | 0.387742i | |||||
− | 1.07475e10i | − | 0.583277i | −0.956529 | − | 0.291638i | ||||
0.956529 | − | 0.291638i | ||||||||
0 | 0 | |||||||||
− | 1.22437e9i | − | 0.0659077i | −0.999457 | − | 0.0329538i | ||||
0.999457 | − | 0.0329538i | ||||||||
−4.87772e9 | + | 3.12955e9i | −0.261500 | + | 0.167779i | |||||
0 | 0 | |||||||||
1.17192e10 | − | 3.43629e9i | 0.623192 | − | 0.182732i | |||||
2.77391e10 | 1.46911 | 0.734555 | − | 0.678549i | ||||||
0.734555 | + | 0.678549i | ||||||||
0 | 0 | |||||||||
4.73985e10 | 2.49005 | |||||||||
2.27008e10 | − | 6.65632e9i | 1.18776 | − | 0.348274i | |||||
0 | 0 | |||||||||
7.40110e9 | − | 4.74857e9i | 0.384129 | − | 0.246458i | |||||
6.00413e10i | 3.10371i | |||||||||
0 | 0 | |||||||||
1.65945e9i | 0.0850943i | |||||||||
2.17195e10 | − | 2.50088e10i | 1.10928 | − | 1.27728i | |||||
0 | 0 | |||||||||
−3.58151e8 | − | 1.22144e9i | −0.0181458 | − | 0.0618847i | |||||
1.87440e10 | 0.945875 | |||||||||
0 | 0 | |||||||||
−4.17436e9 | −0.208974 | −0.104487 | − | 0.994526i | ||||||
−0.104487 | + | 0.994526i | ||||||||
−6.67141e9 | − | 2.27523e10i | −0.332649 | − | 1.13447i | |||||
0 | 0 | |||||||||
−5.30710e10 | − | 2.43329e10i | −2.62523 | − | 1.20366i | |||||
4.37768e9i | 0.215689i | 0.994168 | + | 0.107845i | ||||||
−0.994168 | + | 0.107845i | ||||||||
0 | 0 | |||||||||
2.27246e10i | 1.11080i | 0.831585 | + | 0.555398i | ||||||
−0.831585 | + | 0.555398i | ||||||||
−4.54760e8 | − | 7.08788e8i | −0.0221411 | − | 0.0345091i | |||||
0 | 0 | |||||||||
5.38370e9 | − | 1.57861e9i | 0.260054 | − | 0.0762528i | |||||
2.78475e9 | 0.133984 | 0.0669921 | − | 0.997754i | ||||||
0.0669921 | + | 0.997754i | ||||||||
0 | 0 | |||||||||
−1.17027e8 | −0.00558639 | |||||||||
−3.37166e10 | + | 9.88637e9i | −1.60317 | + | 0.470080i | |||||
0 | 0 | |||||||||
−8.56174e9 | − | 1.33443e10i | −0.403910 | − | 0.629534i | |||||
1.71308e10i | 0.805003i | |||||||||
0 | 0 | |||||||||
1.69802e10i | 0.791702i | |||||||||
7.41162e9 | − | 3.36131e9i | 0.344219 | − | 0.156110i | |||||
0 | 0 | |||||||||
7.60289e9 | + | 2.59290e10i | 0.350358 | + | 1.19487i | |||||
−3.59032e10 | −1.64807 | |||||||||
0 | 0 | |||||||||
−1.06919e10 | −0.486989 | |||||||||
−5.39993e9 | − | 1.84160e10i | −0.245000 | − | 0.835550i | |||||
0 | 0 | |||||||||
1.84677e10 | + | 1.60387e10i | 0.831424 | + | 0.722071i | |||||
2.03919e10i | 0.914507i | |||||||||
0 | 0 | |||||||||
− | 2.37580e9i | − | 0.105726i | −0.998602 | − | 0.0528632i | ||||
0.998602 | − | 0.0528632i | ||||||||
1.77836e10 | − | 1.14100e10i | 0.788348 | − | 0.505806i | |||||
0 | 0 | |||||||||
−1.84807e9 | + | 5.41889e8i | −0.0812967 | + | 0.0238378i | |||||
2.73821e10 | 1.19992 | 0.599961 | − | 0.800030i | ||||||
0.599961 | + | 0.800030i | ||||||||
0 | 0 | |||||||||
6.02549e9 | 0.262026 | |||||||||
2.08201e10 | − | 6.10485e9i | 0.901926 | − | 0.264462i | |||||
0 | 0 | |||||||||
5.06919e9 | − | 3.25240e9i | 0.217923 | − | 0.139820i | |||||
− | 3.24881e9i | − | 0.139133i | |||||||
0 | 0 | |||||||||
− | 1.23130e9i | − | 0.0523311i | −0.999658 | − | 0.0261656i | ||||
0.999658 | − | 0.0261656i | ||||||||
1.66967e9 | + | 1.45006e9i | 0.0706923 | + | 0.0613945i | |||||
0 | 0 | |||||||||
2.13666e9 | + | 7.28689e9i | 0.0897794 | + | 0.306185i | |||||
−1.47731e9 | −0.0618393 | |||||||||
0 | 0 | |||||||||
7.86387e10 | 3.26693 | |||||||||
−4.74295e9 | − | 1.61754e10i | −0.196296 | − | 0.669449i | |||||
0 | 0 | |||||||||
−3.28807e10 | − | 4.79042e9i | −1.35059 | − | 0.196769i | |||||
2.93114e10i | 1.19945i | 0.800207 | + | 0.599723i | ||||||
−0.800207 | + | 0.599723i | ||||||||
0 | 0 | |||||||||
− | 4.44379e9i | − | 0.180480i | |||||||
−1.08963e10 | − | 1.69830e10i | −0.440884 | − | 0.687160i | |||||
0 | 0 | |||||||||
−1.87803e10 | + | 5.50674e9i | −0.754202 | + | 0.221147i | |||||
2.42191e10 | 0.968985 | |||||||||
0 | 0 | |||||||||
−2.39661e9 | −0.0951720 | −0.0475860 | − | 0.998867i | ||||||
−0.0475860 | + | 0.998867i | ||||||||
6.38367e9 | − | 1.87182e9i | 0.252558 | − | 0.0740549i | |||||
0 | 0 | |||||||||
−1.60720e10 | − | 2.50498e10i | −0.631136 | − | 0.983687i | |||||
1.91604e10i | 0.749620i | 0.927102 | + | 0.374810i | ||||||
−0.927102 | + | 0.374810i | ||||||||
0 | 0 | |||||||||
7.26928e8i | 0.0282293i | |||||||||
5.27354e8 | − | 1.15018e9i | 0.0204033 | − | 0.0445003i | |||||
0 | 0 | |||||||||
1.95404e9 | + | 6.66410e9i | 0.0750439 | + | 0.255931i | |||||
3.09806e10 | 1.18540 | 0.592700 | − | 0.805423i | ||||||
0.592700 | + | 0.805423i | ||||||||
0 | 0 | |||||||||
5.51504e9 | 0.209468 | |||||||||
2.22105e10 | + | 7.57469e10i | 0.840475 | + | 2.86637i | |||||
0 | 0 | |||||||||
−2.21365e9 | + | 2.54889e9i | −0.0831533 | + | 0.0957464i | |||||
2.24750e10i | 0.841152i | 0.907257 | + | 0.420576i | ||||||
−0.907257 | + | 0.420576i | ||||||||
0 | 0 | |||||||||
4.66848e10i | 1.73446i | |||||||||
−2.43166e10 | + | 1.56016e10i | −0.900120 | + | 0.577519i | |||||
0 | 0 | |||||||||
−3.68361e10 | + | 1.08011e10i | −1.35361 | + | 0.396906i | |||||
8.43511e9 | 0.308835 | |||||||||
0 | 0 | |||||||||
−1.26029e10 | −0.458079 | |||||||||
−4.47413e9 | + | 1.31190e9i | −0.162030 | + | 0.0475104i | |||||
0 | 0 | |||||||||
1.57006e10 | − | 1.00735e10i | 0.564477 | − | 0.362170i | |||||
− | 3.72360e10i | − | 1.33388i | |||||||
0 | 0 | |||||||||
− | 4.14573e10i | − | 1.47437i | −0.675688 | − | 0.737187i | ||||
0.675688 | − | 0.737187i | ||||||||
−2.73702e10 | + | 3.15152e10i | −0.969871 | + | 1.11675i | |||||
0 | 0 | |||||||||
1.95628e10 | + | 6.67174e10i | 0.688225 | + | 2.34713i | |||||
3.03308e9 | 0.106320 | 0.0531602 | − | 0.998586i | ||||||
0.0531602 | + | 0.998586i | ||||||||
0 | 0 | |||||||||
1.86921e10 | 0.650523 | |||||||||
8.23025e9 | + | 2.80686e10i | 0.285402 | + | 0.973339i | |||||
0 | 0 | |||||||||
−8.14486e9 | + | 1.77642e10i | −0.280420 | + | 0.611607i | |||||
− | 2.89511e10i | − | 0.993194i | −0.867981 | − | 0.496597i | ||||
0.867981 | − | 0.496597i | ||||||||
0 | 0 | |||||||||
4.21042e10i | 1.43412i | |||||||||
4.16914e9 | + | 6.49802e9i | 0.141500 | + | 0.220541i | |||||
0 | 0 | |||||||||
−1.26489e8 | + | 3.70890e7i | −0.00426248 | + | 0.00124984i | |||||
−3.71869e10 | −1.24868 | −0.624341 | − | 0.781152i | ||||||
−0.624341 | + | 0.781152i | ||||||||
0 | 0 | |||||||||
−7.68197e10 | −2.56121 | |||||||||
1.32269e10 | − | 3.87840e9i | 0.439431 | − | 0.128850i | |||||
0 | 0 | |||||||||
−2.52732e9 | − | 3.93907e9i | −0.0833701 | − | 0.129940i | |||||
− | 2.63049e8i | − | 0.00864670i | |||||||
0 | 0 | |||||||||
2.03370e10i | 0.663788i | 0.943317 | + | 0.331894i | ||||||
−0.943317 | + | 0.331894i | ||||||||
−3.67384e10 | − | 5.35246e9i | −1.19489 | − | 0.174086i | |||||
0 | 0 | |||||||||
1.66636e9 | + | 5.68299e9i | 0.0538168 | + | 0.183538i | |||||
−3.98369e10 | −1.28205 | |||||||||
0 | 0 | |||||||||
2.69713e10 | 0.861923 | 0.430961 | − | 0.902370i | ||||||
0.430961 | + | 0.902370i | ||||||||
1.94276e9 | + | 6.62562e9i | 0.0618675 | + | 0.210994i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 252.8.e.a.71.8 | yes | 84 | |
3.2 | odd | 2 | inner | 252.8.e.a.71.77 | yes | 84 | |
4.3 | odd | 2 | inner | 252.8.e.a.71.78 | yes | 84 | |
12.11 | even | 2 | inner | 252.8.e.a.71.7 | ✓ | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.8.e.a.71.7 | ✓ | 84 | 12.11 | even | 2 | inner | |
252.8.e.a.71.8 | yes | 84 | 1.1 | even | 1 | trivial | |
252.8.e.a.71.77 | yes | 84 | 3.2 | odd | 2 | inner | |
252.8.e.a.71.78 | yes | 84 | 4.3 | odd | 2 | inner |