Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,7,Mod(26,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.26");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 81.d (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 8.0.58594980096.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: |
Embedding invariants
Embedding label | 26.4 | ||
Root | of defining polynomial | ||
Character | 81.26 | ||
Dual form | 81.7.d.e.53.4 |
-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 .
12.2150 | + | 7.05234i | 1.52688 | + | 0.881543i | 0.999491 | + | 0.0319175i | ||
0.527387 | + | 0.849625i | ||||||||
0 | 0 | |||||||||
67.4711 | + | 116.863i | 1.05424 | + | 1.82599i | |||||
119.008 | − | 68.7094i | 0.952065 | − | 0.549675i | 0.0583432 | − | 0.998297i | ||
0.893722 | + | 0.448622i | ||||||||
0 | 0 | |||||||||
257.384 | − | 445.803i | 0.750392 | − | 1.29972i | −0.197241 | − | 0.980355i | ||
0.947633 | − | 0.319362i | ||||||||
1000.62i | 1.95433i | |||||||||
0 | 0 | |||||||||
1938.25 | 1.93825 | |||||||||
1055.05 | + | 609.131i | 0.792672 | + | 0.457649i | 0.840902 | − | 0.541187i | ||
−0.0482305 | + | 0.998836i | ||||||||
0 | 0 | |||||||||
85.2313 | + | 147.625i | 0.0387944 | + | 0.0671939i | 0.884771 | − | 0.466027i | ||
−0.845976 | + | 0.533221i | ||||||||
6287.91 | − | 3630.33i | 2.29151 | − | 1.32300i | |||||
0 | 0 | |||||||||
−2738.55 | + | 4743.30i | −0.668590 | + | 1.15803i | |||||
1574.10i | 0.320395i | 0.987085 | + | 0.160197i | ||||||
−0.987085 | + | 0.160197i | ||||||||
0 | 0 | |||||||||
−11289.1 | −1.64588 | −0.822938 | − | 0.568131i | ||||||
−0.822938 | + | 0.568131i | ||||||||
16059.2 | + | 9271.79i | 2.00740 | + | 1.15897i | |||||
0 | 0 | |||||||||
8591.60 | + | 14881.1i | 0.806875 | + | 1.39755i | |||||
−9156.17 | + | 5286.32i | −0.752542 | + | 0.434480i | −0.826611 | − | 0.562773i | ||
0.0740699 | + | 0.997253i | ||||||||
0 | 0 | |||||||||
1629.46 | − | 2822.30i | 0.104285 | − | 0.180627i | |||||
2404.32i | 0.136796i | |||||||||
0 | 0 | |||||||||
69464.0 | 3.16436 | |||||||||
−7504.48 | − | 4332.71i | −0.307699 | − | 0.177650i | 0.338197 | − | 0.941075i | ||
−0.645896 | + | 0.763425i | ||||||||
0 | 0 | |||||||||
13104.5 | + | 22697.7i | 0.439883 | + | 0.761899i | 0.997680 | − | 0.0680779i | ||
−0.557797 | + | 0.829977i | ||||||||
−11442.9 | + | 6606.58i | −0.349211 | + | 0.201617i | |||||
0 | 0 | |||||||||
−11101.1 | + | 19227.7i | −0.282442 | + | 0.489204i | |||||
− | 70738.9i | − | 1.64989i | |||||||
0 | 0 | |||||||||
21866.9 | 0.431701 | 0.215850 | − | 0.976426i | ||||||
0.215850 | + | 0.976426i | ||||||||
−137896. | − | 79614.3i | −2.51305 | − | 1.45091i | |||||
0 | 0 | |||||||||
68751.8 | + | 119082.i | 1.07425 | + | 1.86065i | |||||
−33053.3 | + | 19083.3i | −0.479582 | + | 0.276887i | −0.720242 | − | 0.693723i | ||
0.240660 | + | 0.970609i | ||||||||
0 | 0 | |||||||||
−11947.5 | + | 20693.8i | −0.150270 | + | 0.260276i | −0.931327 | − | 0.364185i | ||
0.781056 | + | 0.624460i | ||||||||
164395.i | 1.92988i | |||||||||
0 | 0 | |||||||||
−149124. | −1.53205 | |||||||||
−23121.8 | − | 13349.4i | −0.222704 | − | 0.128578i | 0.384498 | − | 0.923126i | ||
−0.607202 | + | 0.794548i | ||||||||
0 | 0 | |||||||||
−73668.9 | − | 127598.i | −0.626175 | − | 1.08457i | |||||
39807.7 | − | 22983.0i | 0.318461 | − | 0.183864i | |||||
0 | 0 | |||||||||
−11501.3 | + | 19920.8i | −0.0817969 | + | 0.141676i | |||||
− | 213997.i | − | 1.43741i | −0.695315 | − | 0.718705i | ||||
0.695315 | − | 0.718705i | ||||||||
0 | 0 | |||||||||
167412. | 1.00623 | |||||||||
446078. | + | 257543.i | 2.54008 | + | 1.46651i | |||||
0 | 0 | |||||||||
−61111.5 | − | 105848.i | −0.313213 | − | 0.542500i | |||||
141759. | − | 81844.5i | 0.690231 | − | 0.398505i | −0.113468 | − | 0.993542i | ||
0.803698 | + | 0.595037i | ||||||||
0 | 0 | |||||||||
−55538.9 | + | 96196.1i | −0.244685 | + | 0.423807i | −0.962043 | − | 0.272898i | ||
0.717358 | + | 0.696705i | ||||||||
369671.i | 1.55110i | |||||||||
0 | 0 | |||||||||
164166. | 0.626245 | |||||||||
20286.4 | + | 11712.4i | 0.0738696 | + | 0.0426486i | |||||
0 | 0 | |||||||||
190518. | + | 329986.i | 0.633447 | + | 1.09716i | 0.986842 | + | 0.161689i | ||
−0.353394 | + | 0.935474i | ||||||||
−183955. | + | 106206.i | −0.585038 | + | 0.337772i | |||||
0 | 0 | |||||||||
498875. | − | 864076.i | 1.45445 | − | 2.51917i | |||||
− | 675048.i | − | 1.88608i | −0.332682 | − | 0.943039i | ||||
0.332682 | − | 0.943039i | ||||||||
0 | 0 | |||||||||
−762939. | −1.96120 | −0.980599 | − | 0.196025i | ||||||
−0.980599 | + | 0.196025i | ||||||||
267105. | + | 154213.i | 0.659154 | + | 0.380563i | |||||
0 | 0 | |||||||||
−761685. | − | 1.31928e6i | −1.73514 | − | 3.00535i | |||||
543105. | − | 313562.i | 1.18963 | − | 0.686832i | |||||
0 | 0 | |||||||||
−257854. | + | 446616.i | −0.522989 | + | 0.905843i | 0.476653 | + | 0.879091i | ||
−0.999642 | + | 0.0267519i | ||||||||
752655.i | 1.47003i | |||||||||
0 | 0 | |||||||||
−538328. | −0.976350 | |||||||||
−782690. | − | 451887.i | −1.36885 | − | 0.790306i | −0.378068 | − | 0.925778i | ||
−0.990781 | + | 0.135472i | ||||||||
0 | 0 | |||||||||
108155. | + | 187331.i | 0.176113 | + | 0.305037i | |||||
−291879. | + | 168516.i | −0.458889 | + | 0.264940i | |||||
0 | 0 | |||||||||
−609507. | + | 1.05570e6i | −0.894398 | + | 1.54914i | |||||
644278.i | 0.913910i | 0.889490 | + | 0.456955i | ||||||
−0.889490 | + | 0.456955i | ||||||||
0 | 0 | |||||||||
87748.8 | 0.116444 | |||||||||
−1.23555e6 | − | 713347.i | −1.58671 | − | 0.916089i | |||||
0 | 0 | |||||||||
−188289. | − | 326125.i | −0.226694 | − | 0.392646i | |||||
−1.34349e6 | + | 775664.i | −1.56698 | + | 0.904697i | |||||
0 | 0 | |||||||||
308235. | − | 533878.i | 0.337728 | − | 0.584961i | −0.646277 | − | 0.763103i | ||
0.984005 | + | 0.178141i | ||||||||
− | 2.07815e6i | − | 2.20800i | |||||||
0 | 0 | |||||||||
439765. | 0.439765 | |||||||||
−539557. | − | 311514.i | −0.523689 | − | 0.302352i | 0.214754 | − | 0.976668i | ||
−0.738443 | + | 0.674316i | ||||||||
0 | 0 | |||||||||
375348. | + | 650121.i | 0.343496 | + | 0.594953i | 0.985079 | − | 0.172101i | ||
−0.641583 | + | 0.767053i | ||||||||
−147716. | + | 85283.9i | −0.131319 | + | 0.0758171i | |||||
0 | 0 | |||||||||
1.50918e6 | − | 2.61398e6i | 1.26714 | − | 2.19475i | |||||
345428.i | 0.281973i | 0.990012 | + | 0.140986i | ||||||
−0.990012 | + | 0.140986i | ||||||||
0 | 0 | |||||||||
1.17208e6 | 0.905061 | 0.452530 | − | 0.891749i | ||||||
0.452530 | + | 0.891749i | ||||||||
2.04494e6 | + | 1.18065e6i | 1.53639 | + | 0.887038i | |||||
0 | 0 | |||||||||
1.40972e6 | + | 2.44170e6i | 1.00341 | + | 1.73796i | |||||
2.12463e6 | − | 1.22665e6i | 1.47247 | − | 0.850132i | 0.472952 | − | 0.881088i | ||
0.999521 | + | 0.0309561i | ||||||||
0 | 0 | |||||||||
−726439. | + | 1.25823e6i | −0.477646 | + | 0.827307i | |||||
− | 1.16933e6i | − | 0.749141i | |||||||
0 | 0 | |||||||||
2.30878e6 | 1.40520 | |||||||||
701738. | + | 405149.i | 0.416422 | + | 0.240422i | |||||
0 | 0 | |||||||||
−143699. | − | 248894.i | −0.0811143 | − | 0.140494i | |||||
−1.35682e6 | + | 783358.i | −0.747208 | + | 0.431401i | |||||
0 | 0 | |||||||||
−1.76836e6 | + | 3.06288e6i | −0.927480 | + | 1.60644i | |||||
1.69933e6i | 0.870058i | |||||||||
0 | 0 | |||||||||
−1.53816e6 | −0.750913 | −0.375456 | − | 0.926840i | ||||||
−0.375456 | + | 0.926840i | ||||||||
2.73764e6 | + | 1.58058e6i | 1.30541 | + | 0.753679i | |||||
0 | 0 | |||||||||
165199. | + | 286134.i | 0.0751932 | + | 0.130238i | |||||
−976209. | + | 563615.i | −0.434239 | + | 0.250708i | −0.701151 | − | 0.713013i | ||
0.266912 | + | 0.963721i | ||||||||
0 | 0 | |||||||||
−2.90563e6 | + | 5.03269e6i | −1.23505 | + | 2.13917i | |||||
5.37438e6i | 2.23364i | |||||||||
0 | 0 | |||||||||
−1.57507e6 | −0.626157 | |||||||||
2.77647e6 | + | 1.60300e6i | 1.07977 | + | 0.623406i | 0.930834 | − | 0.365441i | ||
0.148936 | + | 0.988847i | ||||||||
0 | 0 | |||||||||
33342.8 | + | 57751.4i | 0.0124153 | + | 0.0215039i | 0.872166 | − | 0.489210i | ||
−0.859751 | + | 0.510713i | ||||||||
8.26678e6 | − | 4.77283e6i | 3.01268 | − | 1.73937i | |||||
0 | 0 | |||||||||
4.76067e6 | − | 8.24573e6i | 1.66266 | − | 2.87981i | |||||
207668.i | 0.0710169i | |||||||||
0 | 0 | |||||||||
−1.19079e6 | −0.390600 | |||||||||
−9.31932e6 | − | 5.38051e6i | −2.99451 | − | 1.72888i | |||||
0 | 0 | |||||||||
1.47539e6 | + | 2.55544e6i | 0.455114 | + | 0.788281i | |||||
−1.41029e6 | + | 814231.i | −0.426333 | + | 0.246144i | −0.697783 | − | 0.716309i | ||
0.271450 | + | 0.962453i | ||||||||
0 | 0 | |||||||||
182810. | − | 316636.i | 0.0530968 | − | 0.0919664i | −0.838255 | − | 0.545278i | ||
0.891352 | + | 0.453311i | ||||||||
− | 1.12960e7i | − | 3.21658i | |||||||
0 | 0 | |||||||||
8.84538e6 | 2.42189 | |||||||||
3.11910e6 | + | 1.80081e6i | 0.837594 | + | 0.483585i | |||||
0 | 0 | |||||||||
2.59463e6 | + | 4.49403e6i | 0.670465 | + | 1.16128i | 0.977772 | + | 0.209669i | ||
−0.307307 | + | 0.951610i | ||||||||
−6.29938e6 | + | 3.63695e6i | −1.59708 | + | 0.922074i | |||||
0 | 0 | |||||||||
−907868. | + | 1.57247e6i | −0.221648 | + | 0.383905i | |||||
5.44246e6i | 1.30412i | |||||||||
0 | 0 | |||||||||
−3.00726e6 | −0.694397 | −0.347199 | − | 0.937792i | ||||||
−0.347199 | + | 0.937792i | ||||||||
−4.46028e6 | − | 2.57514e6i | −1.01119 | − | 0.583808i | |||||
0 | 0 | |||||||||
−6.37372e6 | − | 1.10396e7i | −1.39338 | − | 2.41340i | |||||
−4.14290e6 | + | 2.39191e6i | −0.889519 | + | 0.513564i | −0.873785 | − | 0.486312i | ||
−0.0157339 | + | 0.999876i | ||||||||
0 | 0 | |||||||||
2.39888e6 | − | 4.15497e6i | 0.496990 | − | 0.860812i | |||||
3.05100e6i | 0.621005i | |||||||||
0 | 0 | |||||||||
−3.22446e6 | −0.633681 | |||||||||
−3.06223e6 | − | 1.76798e6i | −0.591425 | − | 0.341459i | 0.174236 | − | 0.984704i | ||
−0.765661 | + | 0.643245i | ||||||||
0 | 0 | |||||||||
−838793. | − | 1.45283e6i | −0.156509 | − | 0.271082i | |||||
−5.77858e6 | + | 3.33627e6i | −1.05995 | + | 0.611960i | |||||
0 | 0 | |||||||||
−4.54367e6 | + | 7.86987e6i | −0.805651 | + | 1.39543i | |||||
− | 8.57291e6i | − | 1.49475i | −0.664401 | − | 0.747376i | ||||
0.664401 | − | 0.747376i | ||||||||
0 | 0 | |||||||||
1.79208e6 | 0.302219 | 0.151110 | − | 0.988517i | ||||||
0.151110 | + | 0.988517i | ||||||||
1.07185e6 | + | 618835.i | 0.177796 | + | 0.102650i | |||||
0 | 0 | |||||||||
−5.28958e6 | − | 9.16182e6i | −0.849118 | − | 1.47071i | |||||
2.60234e6 | − | 1.50246e6i | 0.411007 | − | 0.237295i | |||||
0 | 0 | |||||||||
−958833. | + | 1.66075e6i | −0.146628 | + | 0.253968i | |||||
− | 3.60278e6i | − | 0.542206i | |||||||
0 | 0 | |||||||||
−2.18810e7 | −3.19012 | |||||||||
8.75348e6 | + | 5.05382e6i | 1.25626 | + | 0.725304i | 0.972346 | − | 0.233545i | ||
0.283917 | + | 0.958849i | ||||||||
0 | 0 | |||||||||
3.82329e6 | + | 6.62213e6i | 0.531820 | + | 0.921140i | 0.999310 | + | 0.0371413i | ||
−0.467490 | + | 0.883999i | ||||||||
7.53019e6 | − | 4.34755e6i | 1.03134 | − | 0.595443i | |||||
0 | 0 | |||||||||
9.94104e6 | − | 1.72184e7i | 1.32027 | − | 2.28678i | |||||
4.94403e6i | 0.646669i | 0.946285 | + | 0.323335i | ||||||
−0.946285 | + | 0.323335i | ||||||||
0 | 0 | |||||||||
−1.96814e6 | −0.249745 | −0.124872 | − | 0.992173i | ||||||
−0.124872 | + | 0.992173i | ||||||||
2.82404e6 | + | 1.63046e6i | 0.353005 | + | 0.203808i | |||||
0 | 0 | |||||||||
−4.39380e6 | − | 7.61029e6i | −0.533073 | − | 0.923309i | |||||
−3.86307e6 | + | 2.23034e6i | −0.461790 | + | 0.266615i | |||||
0 | 0 | |||||||||
−2.62241e6 | + | 4.54214e6i | −0.304396 | + | 0.527229i | |||||
1.05883e7i | 1.21123i | |||||||||
0 | 0 | |||||||||
−933639. | −0.103750 | |||||||||
−1.19105e7 | − | 6.87652e6i | −1.30464 | − | 0.753234i | |||||
0 | 0 | |||||||||
−4.14983e6 | − | 7.18771e6i | −0.441756 | − | 0.765144i | 0.556064 | − | 0.831140i | ||
−0.997820 | + | 0.0659953i | ||||||||
2.50085e7 | − | 1.44386e7i | 2.62470 | − | 1.51537i | |||||
0 | 0 | |||||||||
−2.43608e6 | + | 4.21941e6i | −0.248571 | + | 0.430537i | |||||
3.28363e6i | 0.330399i | |||||||||
0 | 0 | |||||||||
1.34916e7 | 1.32034 | |||||||||
1.43170e7 | + | 8.26591e6i | 1.38192 | + | 0.797850i | |||||
0 | 0 | |||||||||
1.12955e7 | + | 1.95643e7i | 1.06081 | + | 1.83737i | |||||
−232376. | + | 134163.i | −0.0215286 | + | 0.0124295i | |||||
0 | 0 | |||||||||
−4.68890e6 | + | 8.12141e6i | −0.422821 | + | 0.732347i | −0.996214 | − | 0.0869334i | ||
0.573394 | + | 0.819280i | ||||||||
6.80172e6i | 0.605167i | |||||||||
0 | 0 | |||||||||
3.46031e7 | 2.99771 | |||||||||
3.17328e6 | + | 1.83209e6i | 0.271288 | + | 0.156628i | 0.629473 | − | 0.777022i | ||
−0.358185 | + | 0.933651i | ||||||||
0 | 0 | |||||||||
−2.49452e6 | − | 4.32063e6i | −0.207721 | − | 0.359783i | 0.743275 | − | 0.668986i | ||
−0.950996 | + | 0.309202i | ||||||||
−1.77469e7 | + | 1.02462e7i | −1.45861 | + | 0.842130i | |||||
0 | 0 | |||||||||
4.33539e6 | − | 7.50911e6i | 0.347187 | − | 0.601346i | |||||
− | 5.00370e6i | − | 0.395570i | −0.980245 | − | 0.197785i | ||||
0.980245 | − | 0.197785i | ||||||||
0 | 0 | |||||||||
−3.66890e6 | −0.282705 | |||||||||
1.91293e7 | + | 1.10443e7i | 1.45533 | + | 0.840236i | |||||
0 | 0 | |||||||||
5.71449e6 | + | 9.89780e6i | 0.423884 | + | 0.734189i | |||||
1.63810e7 | − | 9.45757e6i | 1.19990 | − | 0.692765i | 0.239370 | − | 0.970928i | ||
0.960534 | + | 0.278163i | ||||||||
0 | 0 | |||||||||
7.62573e6 | − | 1.32081e7i | 0.544791 | − | 0.943606i | −0.453829 | − | 0.891089i | ||
0.998620 | − | 0.0525173i | ||||||||
− | 4.05366e6i | − | 0.286023i | |||||||
0 | 0 | |||||||||
−1.49891e7 | −1.03182 | |||||||||
−1.75344e7 | − | 1.01235e7i | −1.19232 | − | 0.688386i | |||||
0 | 0 | |||||||||
−962181. | − | 1.66655e6i | −0.0638508 | − | 0.110593i | |||||
−2.27118e7 | + | 1.31126e7i | −1.48900 | + | 0.859676i | |||||
0 | 0 | |||||||||
−1.19843e7 | + | 2.07574e7i | −0.766994 | + | 1.32847i | |||||
− | 1.44796e7i | − | 0.915661i | −0.889040 | − | 0.457830i | ||||
0.889040 | − | 0.457830i | ||||||||
0 | 0 | |||||||||
−1.28802e7 | −0.795358 | |||||||||
−1.87886e7 | − | 1.08476e7i | −1.14655 | − | 0.661962i | |||||
0 | 0 | |||||||||
1.70402e7 | + | 2.95146e7i | 1.01568 | + | 1.75921i | |||||
1.03463e7 | − | 5.97342e6i | 0.609515 | − | 0.351904i | −0.163261 | − | 0.986583i | ||
0.772776 | + | 0.634679i | ||||||||
0 | 0 | |||||||||
5.62821e6 | − | 9.74834e6i | 0.323945 | − | 0.561089i | |||||
3.16099e6i | 0.179847i | |||||||||
0 | 0 | |||||||||
−1.58992e7 | −0.884040 | |||||||||
−1.31116e7 | − | 7.56999e6i | −0.720757 | − | 0.416129i | 0.0942745 | − | 0.995546i | ||
−0.815031 | + | 0.579417i | ||||||||
0 | 0 | |||||||||
−1.47036e7 | − | 2.54674e7i | −0.790109 | − | 1.36851i | |||||
−7.09846e7 | + | 4.09830e7i | −3.77154 | + | 2.17750i | |||||
0 | 0 | |||||||||
−2.57089e7 | + | 4.45290e7i | −1.33561 | + | 2.31334i | |||||
− | 3.37864e7i | − | 1.73574i | −0.496789 | − | 0.867871i | ||||
0.496789 | − | 0.867871i | ||||||||
0 | 0 | |||||||||
−292052. | −0.0146741 | −0.00733707 | − | 0.999973i | ||||||
−0.00733707 | + | 0.999973i | ||||||||
−7.46643e6 | − | 4.31074e6i | −0.371028 | − | 0.214213i | |||||
0 | 0 | |||||||||
2.26098e7 | + | 3.91612e7i | 1.09912 | + | 1.90373i | |||||
3.43830e6 | − | 1.98510e6i | 0.165328 | − | 0.0954521i | |||||
0 | 0 | |||||||||
5.92330e6 | − | 1.02595e7i | 0.278692 | − | 0.482708i | −0.692368 | − | 0.721545i | ||
0.971060 | + | 0.238836i | ||||||||
940578.i | 0.0437785i | |||||||||
0 | 0 | |||||||||
7.07825e7 | 3.22442 | |||||||||
−2.31829e6 | − | 1.33847e6i | −0.104484 | − | 0.0603238i | 0.446847 | − | 0.894610i | ||
−0.551331 | + | 0.834286i | ||||||||
0 | 0 | |||||||||
1.55551e7 | + | 2.69422e7i | 0.686298 | + | 1.18870i | 0.973027 | + | 0.230691i | ||
−0.286729 | + | 0.958012i | ||||||||
7.88884e7 | − | 4.55462e7i | 3.44396 | − | 1.98837i | |||||
0 | 0 | |||||||||
−1.46455e6 | + | 2.53667e6i | −0.0626044 | + | 0.108434i | |||||
1.96470e7i | 0.831094i | |||||||||
0 | 0 | |||||||||
2.16598e7 | 0.897347 | |||||||||
−1.45455e7 | − | 8.39787e6i | −0.596397 | − | 0.344330i | |||||
0 | 0 | |||||||||
−5.14763e7 | − | 8.91596e7i | −2.06756 | − | 3.58113i | |||||
2.03856e6 | − | 1.17696e6i | 0.0810438 | − | 0.0467906i | −0.458930 | − | 0.888472i | ||
0.539974 | + | 0.841682i | ||||||||
0 | 0 | |||||||||
1.12470e7 | − | 1.94803e7i | 0.438096 | − | 0.758805i | |||||
2.18804e7i | 0.843686i | |||||||||
0 | 0 | |||||||||
−2.29689e7 | −0.867945 | |||||||||
−1.56078e6 | − | 901120.i | −0.0583888 | − | 0.0337108i | |||||
0 | 0 | |||||||||
6.15022e6 | + | 1.06525e7i | 0.225523 | + | 0.390618i | |||||
4.46605e6 | − | 2.57848e6i | 0.162145 | − | 0.0936143i | |||||
0 | 0 | |||||||||
3.09156e7 | − | 5.35474e7i | 1.10042 | − | 1.90598i | |||||
1.52642e7i | 0.537989i | |||||||||
0 | 0 | |||||||||
3.99249e6 | 0.137984 | 0.0689920 | − | 0.997617i | ||||||
0.0689920 | + | 0.997617i | ||||||||
7.32877e7 | + | 4.23127e7i | 2.50830 | + | 1.44817i | |||||
0 | 0 | |||||||||
2.53999e7 | + | 4.39939e7i | 0.852602 | + | 1.47675i | |||||
−2.61007e7 | + | 1.50692e7i | −0.867703 | + | 0.500969i | −0.866584 | − | 0.499031i | ||
−0.00111874 | + | 0.999999i | ||||||||
0 | 0 | |||||||||
1.89456e7 | − | 3.28147e7i | 0.617838 | − | 1.07013i | −0.372041 | − | 0.928216i | ||
0.989879 | − | 0.141911i | ||||||||
7.31928e7i | 2.36417i | |||||||||
0 | 0 | |||||||||
−6.95907e7 | −2.20541 | |||||||||
3.00895e7 | + | 1.73722e7i | 0.944577 | + | 0.545352i | 0.891392 | − | 0.453233i | ||
0.0531849 | + | 0.998585i | ||||||||
0 | 0 | |||||||||
−5.27838e6 | − | 9.14242e6i | −0.162603 | − | 0.281637i | |||||
1.95371e7 | − | 1.12798e7i | 0.596226 | − | 0.344231i | |||||
0 | 0 | |||||||||
−3.83821e7 | + | 6.64798e7i | −1.14964 | + | 1.99123i | |||||
− | 1.77701e7i | − | 0.527330i | |||||||
0 | 0 | |||||||||
555522. | 0.0161827 | |||||||||
−3.67337e7 | − | 2.12082e7i | −1.06026 | − | 0.612141i | |||||
0 | 0 | |||||||||
−1.90951e7 | − | 3.30737e7i | −0.541128 | − | 0.937262i | |||||
−1.19024e7 | + | 6.87183e6i | −0.334230 | + | 0.192968i | |||||
0 | 0 | |||||||||
−1.83106e7 | + | 3.17150e7i | −0.504917 | + | 0.874541i | 0.495067 | + | 0.868855i | ||
−0.999984 | + | 0.00568670i | ||||||||
− | 1.21957e8i | − | 3.33267i | |||||||
0 | 0 | |||||||||
−6.74742e7 | −1.81092 | |||||||||
4.53463e7 | + | 2.61807e7i | 1.20617 | + | 0.696380i | |||||
0 | 0 | |||||||||
−2.26572e7 | − | 3.92434e7i | −0.591992 | − | 1.02536i | −0.993964 | − | 0.109709i | ||
0.401971 | − | 0.915652i | ||||||||
5.86046e7 | − | 3.38354e7i | 1.51769 | − | 0.876236i | |||||
0 | 0 | |||||||||
−1.45947e7 | + | 2.52788e7i | −0.371329 | + | 0.643161i | |||||
3.19296e7i | 0.805248i | |||||||||
0 | 0 | |||||||||
−1.52829e7 | −0.378724 | |||||||||
−2.07065e7 | − | 1.19549e7i | −0.508665 | − | 0.293678i | |||||
0 | 0 | |||||||||
−2.49368e7 | − | 4.31918e7i | −0.602022 | − | 1.04273i | |||||
2.53109e7 | − | 1.46133e7i | 0.605787 | − | 0.349751i | −0.165528 | − | 0.986205i | ||
0.771315 | + | 0.636454i | ||||||||
0 | 0 | |||||||||
4.80635e6 | − | 8.32484e6i | 0.113068 | − | 0.195839i | −0.803938 | − | 0.594713i | ||
0.917006 | + | 0.398874i | ||||||||
− | 2.36618e7i | − | 0.551879i | |||||||
0 | 0 | |||||||||
−1.60971e7 | −0.369079 | |||||||||
2.60926e7 | + | 1.50646e7i | 0.593189 | + | 0.342478i | 0.766357 | − | 0.642415i | ||
−0.173169 | + | 0.984892i | ||||||||
0 | 0 | |||||||||
−4.63821e7 | − | 8.03362e7i | −1.03673 | − | 1.79567i | |||||
−7.52925e7 | + | 4.34702e7i | −1.66879 | + | 0.963477i | |||||
0 | 0 | |||||||||
6.04591e7 | − | 1.04718e8i | 1.31769 | − | 2.28230i | |||||
3.63910e7i | 0.786521i | 0.919427 | + | 0.393260i | ||||||
−0.919427 | + | 0.393260i | ||||||||
0 | 0 | |||||||||
8.03970e7 | 1.70891 | |||||||||
2.18903e7 | + | 1.26384e7i | 0.461452 | + | 0.266419i | |||||
0 | 0 | |||||||||
5.92051e6 | + | 1.02546e7i | 0.122759 | + | 0.212626i | |||||
−9.07960e7 | + | 5.24211e7i | −1.86719 | + | 1.07802i | |||||
0 | 0 | |||||||||
−2.52979e7 | + | 4.38173e7i | −0.511784 | + | 0.886436i | 0.488123 | + | 0.872775i | ||
−0.999907 | + | 0.0136607i | ||||||||
− | 5.79073e7i | − | 1.16196i | |||||||
0 | 0 | |||||||||
4.23836e7 | 0.836743 | |||||||||
−9.54007e7 | − | 5.50796e7i | −1.86823 | − | 1.07862i | |||||
0 | 0 | |||||||||
4.72498e7 | + | 8.18391e7i | 0.910487 | + | 1.57701i | 0.813378 | + | 0.581736i | ||
0.0971089 | + | 0.995274i | ||||||||
−2.34243e7 | + | 1.35240e7i | −0.447767 | + | 0.258519i | |||||
0 | 0 | |||||||||
1.33576e7 | − | 2.31360e7i | 0.251284 | − | 0.435237i | |||||
− | 1.47713e6i | − | 0.0275673i | |||||||
0 | 0 | |||||||||
−5.62274e7 | −1.03283 | −0.516417 | − | 0.856337i | ||||||
−0.516417 | + | 0.856337i | ||||||||
−1.81293e8 | − | 1.04670e8i | −3.30393 | − | 1.90753i | |||||
0 | 0 | |||||||||
7.12826e7 | + | 1.23465e8i | 1.27877 | + | 2.21490i | |||||
−1.83955e7 | + | 1.06206e7i | −0.327427 | + | 0.189040i | −0.654698 | − | 0.755890i | ||
0.327271 | + | 0.944930i | ||||||||
0 | 0 | |||||||||
4.30892e7 | − | 7.46328e7i | 0.755069 | − | 1.30782i | |||||
1.07853e8i | 1.87529i | |||||||||
0 | 0 | |||||||||
8.31877e7 | 1.42418 | |||||||||
8.33267e7 | + | 4.81087e7i | 1.41558 | + | 0.817288i | 0.995907 | − | 0.0903860i | ||
0.419677 | + | 0.907674i | ||||||||
0 | 0 | |||||||||
−8.32119e6 | − | 1.44127e7i | −0.139205 | − | 0.241110i | |||||
1.27677e8 | − | 7.37144e7i | 2.11960 | − | 1.22375i | |||||
0 | 0 | |||||||||
−3.48670e7 | + | 6.03914e7i | −0.570067 | + | 0.987384i | |||||
7.08679e7i | 1.14990i | |||||||||
0 | 0 | |||||||||
2.71686e7 | 0.434206 | 0.217103 | − | 0.976149i | ||||||
0.217103 | + | 0.976149i | ||||||||
−2.40409e7 | − | 1.38800e7i | −0.381330 | − | 0.220161i | |||||
0 | 0 | |||||||||
8.92468e6 | + | 1.54580e7i | 0.139448 | + | 0.241531i | |||||
1.33304e7 | − | 7.69630e6i | 0.206733 | − | 0.119357i | −0.393059 | − | 0.919513i | ||
0.599792 | + | 0.800156i | ||||||||
0 | 0 | |||||||||
−2.23384e6 | + | 3.86912e6i | −0.0341300 | + | 0.0591148i | |||||
− | 8.40727e7i | − | 1.27500i | |||||||
0 | 0 | |||||||||
−6.29166e7 | −0.940129 | |||||||||
2.30706e7 | + | 1.33198e7i | 0.342197 | + | 0.197568i | |||||
0 | 0 | |||||||||
1.63204e7 | + | 2.82678e7i | 0.238540 | + | 0.413164i | 0.960296 | − | 0.278985i | ||
−0.721755 | + | 0.692148i | ||||||||
−6.40655e7 | + | 3.69882e7i | −0.929549 | + | 0.536675i | |||||
0 | 0 | |||||||||
−5.06502e7 | + | 8.77288e7i | −0.724252 | + | 1.25444i | |||||
− | 8.42620e7i | − | 1.19614i | |||||||
0 | 0 | |||||||||
−1.24195e8 | −1.73765 | |||||||||
−1.95059e6 | − | 1.12618e6i | −0.0270948 | − | 0.0156432i | |||||
0 | 0 | |||||||||
−9.69911e7 | − | 1.67994e8i | −1.32802 | − | 2.30019i | |||||
7.67514e7 | − | 4.43125e7i | 1.04338 | − | 0.602398i | 0.122595 | − | 0.992457i | ||
0.920790 | + | 0.390058i | ||||||||
0 | 0 | |||||||||
−4.75587e7 | + | 8.23740e7i | −0.637358 | + | 1.10394i | 0.348652 | + | 0.937252i | ||
−0.986010 | + | 0.166684i | ||||||||
− | 1.17064e8i | − | 1.55771i | |||||||
0 | 0 | |||||||||
2.14130e8 | 2.80918 | |||||||||
4.44258e6 | + | 2.56493e6i | 0.0578720 | + | 0.0334124i | |||||
0 | 0 | |||||||||
2.85897e7 | + | 4.95188e7i | 0.367219 | + | 0.636043i | |||||
−4.03679e7 | + | 2.33064e7i | −0.514879 | + | 0.297266i | |||||
0 | 0 | |||||||||
−2.31573e7 | + | 4.01096e7i | −0.291261 | + | 0.504479i | |||||
8.05617e7i | 1.00623i | 0.864220 | + | 0.503115i | ||||||
−0.864220 | + | 0.503115i | ||||||||
0 | 0 | |||||||||
3.50511e7 | 0.431755 | 0.215878 | − | 0.976420i | ||||||
0.215878 | + | 0.976420i | ||||||||
1.64800e8 | + | 9.51475e7i | 2.01599 | + | 1.16393i | |||||
0 | 0 | |||||||||
7.90815e7 | + | 1.36973e8i | 0.954147 | + | 1.65263i | |||||
1.03365e8 | − | 5.96776e7i | 1.23859 | − | 0.715100i | |||||
0 | 0 | |||||||||
2.31531e7 | − | 4.01023e7i | 0.273663 | − | 0.473998i | −0.696134 | − | 0.717912i | ||
0.969797 | + | 0.243914i | ||||||||
1.67515e8i | 1.96651i | |||||||||
0 | 0 | |||||||||
−3.78464e6 | −0.0438286 | |||||||||
−1.03092e8 | − | 5.95204e7i | −1.18581 | − | 0.684628i | −0.228458 | − | 0.973554i | ||
−0.957351 | + | 0.288926i | ||||||||
0 | 0 | |||||||||
4.42680e7 | + | 7.66744e7i | 0.502354 | + | 0.870102i | |||||
−1.14550e8 | + | 6.61354e7i | −1.29119 | + | 0.745469i | |||||
0 | 0 | |||||||||
4.22538e7 | − | 7.31858e7i | 0.469929 | − | 0.813941i | |||||
9.75546e7i | 1.07773i | 0.842393 | + | 0.538864i | ||||||
−0.842393 | + | 0.538864i | ||||||||
0 | 0 | |||||||||
−4.64970e7 | −0.506868 | |||||||||
2.86702e8 | + | 1.65527e8i | 3.10467 | + | 1.79248i | |||||
0 | 0 | |||||||||
2.58411e7 | + | 4.47581e7i | 0.276149 | + | 0.478304i | |||||
1.04428e7 | − | 6.02917e6i | 0.110862 | − | 0.0640063i | |||||
0 | 0 | |||||||||
4.06870e6 | − | 7.04719e6i | 0.0426292 | − | 0.0738359i | −0.843924 | − | 0.536463i | ||
0.886553 | + | 0.462628i | ||||||||
− | 7.03688e7i | − | 0.732460i | |||||||
0 | 0 | |||||||||
−1.96055e8 | −2.01420 | |||||||||
1.34509e8 | + | 7.76590e7i | 1.37293 | + | 0.792664i | 0.991297 | − | 0.131648i | ||
0.381638 | + | 0.924312i | ||||||||
0 | 0 | |||||||||
−3.81492e7 | − | 6.60764e7i | −0.384364 | − | 0.665738i | 0.607317 | − | 0.794460i | ||
−0.991681 | + | 0.128722i | ||||||||
4.11027e7 | − | 2.37307e7i | 0.411449 | − | 0.237550i | |||||
0 | 0 | |||||||||
3.52878e7 | − | 6.11203e7i | 0.348712 | − | 0.603987i | |||||
− | 1.85842e8i | − | 1.82470i | −0.409408 | − | 0.912352i | ||||
0.409408 | − | 0.912352i | ||||||||
0 | 0 | |||||||||
1.96145e8 | 1.90133 | |||||||||
−4.48157e7 | − | 2.58744e7i | −0.431655 | − | 0.249216i | |||||
0 | 0 | |||||||||
8.18950e7 | + | 1.41846e8i | 0.778810 | + | 1.34894i | |||||
−2.52104e7 | + | 1.45552e7i | −0.238230 | + | 0.137542i | |||||
0 | 0 | |||||||||
−1.83950e7 | + | 3.18611e7i | −0.171640 | + | 0.297290i | |||||
1.09343e8i | 1.01384i | |||||||||
0 | 0 | |||||||||
2.66792e8 | 2.44281 | |||||||||
−1.07230e8 | − | 6.19095e7i | −0.975689 | − | 0.563314i | −0.0747229 | − | 0.997204i | ||
−0.900966 | + | 0.433890i | ||||||||
0 | 0 | |||||||||
1.86375e6 | + | 3.22811e6i | 0.0167476 | + | 0.0290076i | |||||
1.86297e8 | − | 1.07559e8i | 1.66366 | − | 0.960514i | |||||
0 | 0 | |||||||||
1.93911e7 | − | 3.35863e7i | 0.171027 | − | 0.296228i | |||||
− | 8.47145e7i | − | 0.742561i | |||||||
0 | 0 | |||||||||
−6.09360e7 | −0.527578 | −0.263789 | − | 0.964580i | ||||||
−0.263789 | + | 0.964580i | ||||||||
−9.62555e7 | − | 5.55731e7i | −0.828259 | − | 0.478196i | |||||
0 | 0 | |||||||||
−1.42789e8 | − | 2.47317e8i | −1.21368 | − | 2.10216i | |||||
−5.61243e7 | + | 3.24034e7i | −0.474140 | + | 0.273745i | −0.717971 | − | 0.696073i | ||
0.243831 | + | 0.969818i | ||||||||
0 | 0 | |||||||||
6.82012e6 | − | 1.18128e7i | 0.0569182 | − | 0.0985852i | |||||
− | 2.71425e7i | − | 0.225149i | |||||||
0 | 0 | |||||||||
−1.43550e8 | −1.17641 | |||||||||
−3.00938e8 | − | 1.73747e8i | −2.45137 | − | 1.41530i | |||||
0 | 0 | |||||||||
−1.43548e7 | − | 2.48633e7i | −0.115530 | − | 0.200104i | 0.802461 | − | 0.596704i | ||
−0.917992 | + | 0.396600i | ||||||||
−1.98590e8 | + | 1.14656e8i | −1.58872 | + | 0.917246i | |||||
0 | 0 | |||||||||
1.02115e8 | − | 1.76868e8i | 0.807194 | − | 1.39810i | |||||
1.12463e8i | 0.883702i | 0.897088 | + | 0.441851i | ||||||
−0.897088 | + | 0.441851i | ||||||||
0 | 0 | |||||||||
−8.56156e7 | −0.664781 | |||||||||
−1.57332e8 | − | 9.08359e7i | −1.21441 | − | 0.701142i | |||||
0 | 0 | |||||||||
−1.03781e8 | − | 1.79754e8i | −0.791639 | − | 1.37116i | |||||
−4.86521e7 | + | 2.80893e7i | −0.368934 | + | 0.213004i | −0.672993 | − | 0.739649i | ||
0.304059 | + | 0.952653i | ||||||||
0 | 0 | |||||||||
−1.96369e8 | + | 3.40120e8i | −1.47167 | + | 2.54900i | |||||
2.78380e8i | 2.07410i | |||||||||
0 | 0 | |||||||||
1.68506e8 | 1.24087 | |||||||||
8.93388e7 | + | 5.15798e7i | 0.654061 | + | 0.377623i | |||||
0 | 0 | |||||||||
−1.62630e7 | − | 2.81684e7i | −0.117687 | − | 0.203840i | |||||
1.37497e8 | − | 7.93841e7i | 0.989247 | − | 0.571142i | |||||
0 | 0 | |||||||||
−1.17196e7 | + | 2.02990e7i | −0.0833495 | + | 0.144366i | |||||
− | 1.68861e8i | − | 1.19403i | −0.802230 | − | 0.597015i | ||||
0.802230 | − | 0.597015i | ||||||||
0 | 0 | |||||||||
−2.39748e8 | −1.67591 | −0.837955 | − | 0.545739i | ||||||
−0.837955 | + | 0.545739i | ||||||||
−1.31732e8 | − | 7.60554e7i | −0.915581 | − | 0.528611i | |||||
0 | 0 | |||||||||
−1.06772e8 | − | 1.84935e8i | −0.733671 | − | 1.27076i | |||||
−3.57285e7 | + | 2.06279e7i | −0.244109 | + | 0.140936i | |||||
0 | 0 | |||||||||
−1.81276e7 | + | 3.13979e7i | −0.122454 | + | 0.212097i | |||||
− | 4.14780e8i | − | 2.78606i | |||||||
0 | 0 | |||||||||
−7.84183e8 | −5.20814 | |||||||||
−5.63435e6 | − | 3.25299e6i | −0.0372102 | − | 0.0214833i | |||||
0 | 0 | |||||||||
2.37342e7 | + | 4.11088e7i | 0.154993 | + | 0.268456i | |||||
−3.30190e8 | + | 1.90635e8i | −2.14422 | + | 1.23797i | |||||
0 | 0 | |||||||||
2.38273e8 | − | 4.12702e8i | 1.53013 | − | 2.65027i | |||||
− | 1.79496e8i | − | 1.14627i | |||||||
0 | 0 | |||||||||
1.85322e8 | 1.17040 | 0.585200 | − | 0.810889i | ||||||
0.585200 | + | 0.810889i | ||||||||
−3.56742e6 | − | 2.05965e6i | −0.0224056 | − | 0.0129359i | |||||
0 | 0 | |||||||||
−1.03994e7 | − | 1.80123e7i | −0.0645970 | − | 0.111885i | |||||
1.39487e8 | − | 8.05329e7i | 0.861676 | − | 0.497489i | |||||
0 | 0 | |||||||||
−1.26423e8 | + | 2.18971e8i | −0.772438 | + | 1.33790i | 0.163785 | + | 0.986496i | ||
−0.936223 | + | 0.351406i | ||||||||
4.32624e8i | 2.62887i | |||||||||
0 | 0 | |||||||||
5.59986e7 | 0.336580 | |||||||||
8.47185e7 | + | 4.89122e7i | 0.506435 | + | 0.292390i | |||||
0 | 0 | |||||||||
1.32735e8 | + | 2.29904e8i | 0.784893 | + | 1.35947i | |||||
1.44706e8 | − | 8.35463e7i | 0.851056 | − | 0.491358i | |||||
0 | 0 | |||||||||
−4.49934e6 | + | 7.79309e6i | −0.0261773 | + | 0.0453404i | |||||
− | 1.01472e8i | − | 0.587194i | −0.955929 | − | 0.293597i | ||||
0.955929 | − | 0.293597i | ||||||||
0 | 0 | |||||||||
−4.07322e6 | −0.0233186 | |||||||||
3.35536e8 | + | 1.93722e8i | 1.91062 | + | 1.10310i | |||||
0 | 0 | |||||||||
−1.88787e7 | − | 3.26988e7i | −0.106356 | − | 0.184214i | |||||
1.00331e8 | − | 5.79262e7i | 0.562225 | − | 0.324601i | −0.191813 | − | 0.981431i | ||
0.754038 | + | 0.656831i | ||||||||
0 | 0 | |||||||||
1.68565e8 | − | 2.91963e8i | 0.934593 | − | 1.61876i | |||||
4.38799e8i | 2.42000i | |||||||||
0 | 0 | |||||||||
6.75465e8 | 3.68602 | |||||||||
6.32337e7 | + | 3.65080e7i | 0.343251 | + | 0.198176i | 0.661709 | − | 0.749761i | ||
−0.318458 | + | 0.947937i | ||||||||
0 | 0 | |||||||||
4.87571e7 | + | 8.44498e7i | 0.261897 | + | 0.453618i | 0.966746 | − | 0.255739i | ||
−0.704849 | + | 0.709357i | ||||||||
−2.42688e7 | + | 1.40116e7i | −0.129676 | + | 0.0748686i | |||||
0 | 0 | |||||||||
−1.38557e8 | + | 2.39988e8i | −0.732645 | + | 1.26898i | |||||
3.44553e7i | 0.181239i | |||||||||
0 | 0 | |||||||||
8.90080e7 | 0.463342 | 0.231671 | − | 0.972794i | ||||||
0.231671 | + | 0.972794i | ||||||||
2.64575e8 | + | 1.52752e8i | 1.37014 | + | 0.791050i | |||||
0 | 0 | |||||||||
−8.03440e7 | − | 1.39160e8i | −0.411784 | − | 0.713231i | |||||
−4.02905e8 | + | 2.32617e8i | −2.05435 | + | 1.18608i | |||||
0 | 0 | |||||||||
1.30353e8 | − | 2.25777e8i | 0.657830 | − | 1.13940i | |||||
− | 7.63410e8i | − | 3.83283i | |||||||
0 | 0 | |||||||||
3.32013e7 | 0.164992 | |||||||||
1.09392e8 | + | 6.31572e7i | 0.540841 | + | 0.312255i | 0.745420 | − | 0.666596i | ||
−0.204579 | + | 0.978850i | ||||||||
0 | 0 | |||||||||
−1.47938e8 | − | 2.56236e8i | −0.723992 | − | 1.25399i | |||||
2.74764e8 | − | 1.58635e8i | 1.33784 | − | 0.772401i | |||||
0 | 0 | |||||||||
−5.98836e7 | + | 1.03721e8i | −0.288631 | + | 0.499923i | |||||
1.59275e8i | 0.763805i | 0.924203 | + | 0.381902i | ||||||
−0.924203 | + | 0.381902i | ||||||||
0 | 0 | |||||||||
1.11350e8 | 0.528615 | |||||||||
−1.90308e8 | − | 1.09874e8i | −0.898912 | − | 0.518987i | |||||
0 | 0 | |||||||||
−1.27100e7 | − | 2.20144e7i | −0.0594350 | − | 0.102944i | |||||
1.23461e8 | − | 7.12804e7i | 0.574448 | − | 0.331658i | −0.184476 | − | 0.982837i | ||
0.758924 | + | 0.651179i | ||||||||
0 | 0 | |||||||||
5.92447e7 | − | 1.02615e8i | 0.272914 | − | 0.472701i | −0.696693 | − | 0.717370i | ||
0.969607 | + | 0.244669i | ||||||||
1.73494e8i | 0.795234i | |||||||||
0 | 0 | |||||||||
4.93375e7 | 0.223906 | |||||||||
−3.42027e7 | − | 1.97469e7i | −0.154452 | − | 0.0891730i | |||||
0 | 0 | |||||||||
4.03021e7 | + | 6.98052e7i | 0.180203 | + | 0.312120i | 0.941949 | − | 0.335755i | ||
−0.761747 | + | 0.647875i | ||||||||
1.29180e8 | − | 7.45821e7i | 0.574757 | − | 0.331836i | |||||
0 | 0 | |||||||||
−1.07648e8 | + | 1.86452e8i | −0.474260 | + | 0.821443i | |||||
− | 4.55113e6i | − | 0.0199524i | |||||||
0 | 0 | |||||||||
−2.49459e8 | −1.08297 | −0.541486 | − | 0.840710i | ||||||
−0.541486 | + | 0.840710i | ||||||||
4.87683e7 | + | 2.81564e7i | 0.210685 | + | 0.121639i | |||||
0 | 0 | |||||||||
3.13755e8 | + | 5.43440e8i | 1.34230 | + | 2.32493i | |||||
2.98160e8 | − | 1.72143e8i | 1.26939 | − | 0.732880i | 0.294514 | − | 0.955647i | ||
0.974872 | + | 0.222767i | ||||||||
0 | 0 | |||||||||
−2.29719e7 | + | 3.97886e7i | −0.0968558 | + | 0.167759i | −0.910382 | − | 0.413770i | ||
0.813526 | + | 0.581529i | ||||||||
4.86011e8i | 2.03925i | |||||||||
0 | 0 | |||||||||
−4.25094e8 | −1.76650 | |||||||||
2.87221e8 | + | 1.65827e8i | 1.18782 | + | 0.685791i | |||||
0 | 0 | |||||||||
1.42220e8 | + | 2.46333e8i | 0.582534 | + | 1.00898i | |||||
4.62841e8 | − | 2.67221e8i | 1.88673 | − | 1.08930i | |||||
0 | 0 | |||||||||
−3.50125e8 | + | 6.06434e8i | −1.41366 | + | 2.44852i | |||||
3.44207e7i | 0.138315i | |||||||||
0 | 0 | |||||||||
−2.71320e8 | −1.07993 | −0.539963 | − | 0.841689i | ||||||
−0.539963 | + | 0.841689i | ||||||||
−4.46892e8 | − | 2.58013e8i | −1.77032 | − | 1.02209i | |||||
0 | 0 | |||||||||
2.45029e8 | + | 4.24403e8i | 0.961502 | + | 1.66537i | |||||
−1.83053e8 | + | 1.05686e8i | −0.714918 | + | 0.412758i | |||||
0 | 0 | |||||||||
1.25578e7 | − | 2.17507e7i | 0.0485842 | − | 0.0841503i | |||||
− | 1.48900e8i | − | 0.573366i | |||||||
0 | 0 | |||||||||
4.34402e8 | 1.65711 | |||||||||
−2.71512e8 | − | 1.56757e8i | −1.03089 | − | 0.595187i | −0.113654 | − | 0.993520i | ||
−0.917241 | + | 0.398333i | ||||||||
0 | 0 | |||||||||
−2.97289e7 | − | 5.14920e7i | −0.111827 | − | 0.193690i | 0.804680 | − | 0.593709i | ||
−0.916507 | + | 0.400019i | ||||||||
−6.36024e8 | + | 3.67209e8i | −2.38131 | + | 1.37485i | |||||
0 | 0 | |||||||||
1.25321e8 | − | 2.17062e8i | 0.464864 | − | 0.805168i | |||||
− | 2.04779e8i | − | 0.756089i | −0.925787 | − | 0.378045i | ||||
0.925787 | − | 0.378045i | ||||||||
0 | 0 | |||||||||
1.99416e8 | 0.729502 | |||||||||
6.78572e6 | + | 3.91774e6i | 0.0247090 | + | 0.0142658i | |||||
0 | 0 | |||||||||
−2.02903e8 | − | 3.51438e8i | −0.732058 | − | 1.26796i | |||||
2.94479e7 | − | 1.70017e7i | 0.105758 | − | 0.0610596i | −0.446188 | − | 0.894939i | ||
0.551946 | + | 0.833880i | ||||||||
0 | 0 | |||||||||
−7.74512e7 | + | 1.34149e8i | −0.275616 | + | 0.477381i | |||||
− | 2.09042e8i | − | 0.740495i | |||||||
0 | 0 | |||||||||
−1.93850e8 | −0.680438 | |||||||||
2.10570e8 | + | 1.21573e8i | 0.735766 | + | 0.424795i | 0.820528 | − | 0.571606i | ||
−0.0847616 | + | 0.996401i | ||||||||
0 | 0 | |||||||||
−2.25986e8 | − | 3.91420e8i | −0.782488 | − | 1.35531i | −0.930488 | − | 0.366322i | ||
0.148000 | − | 0.988987i | ||||||||
−4.47330e8 | + | 2.58266e8i | −1.54189 | + | 0.890212i | |||||
0 | 0 | |||||||||
4.52165e8 | − | 7.83174e8i | 1.54452 | − | 2.67518i | |||||
7.98575e8i | 2.71551i | |||||||||
0 | 0 | |||||||||
9.16164e7 | 0.308742 | |||||||||
−5.59052e8 | − | 3.22769e8i | −1.87553 | − | 1.08284i | |||||
0 | 0 | |||||||||
3.69270e8 | + | 6.39595e8i | 1.22778 | + | 2.12657i | |||||
−1.17192e8 | + | 6.76609e7i | −0.387910 | + | 0.223960i | |||||
0 | 0 | |||||||||
−1.58780e8 | + | 2.75015e8i | −0.520896 | + | 0.902217i | 0.478809 | + | 0.877919i | ||
−0.999705 | + | 0.0242985i | ||||||||
− | 6.39145e8i | − | 2.08747i | |||||||
0 | 0 | |||||||||
6.47419e8 | 2.09578 | |||||||||
−5.80706e7 | − | 3.35271e7i | −0.187150 | − | 0.108051i | 0.403498 | − | 0.914981i | ||
−0.590648 | + | 0.806930i | ||||||||
0 | 0 | |||||||||
−1.58670e8 | − | 2.74824e8i | −0.506856 | − | 0.877900i | |||||
−1.87446e8 | + | 1.08222e8i | −0.596142 | + | 0.344183i | |||||
0 | 0 | |||||||||
−2.25178e8 | + | 3.90020e8i | −0.709861 | + | 1.22951i | |||||
1.51437e8i | 0.475303i | 0.971350 | + | 0.237652i | ||||||
−0.971350 | + | 0.237652i | ||||||||
0 | 0 | |||||||||
4.40563e8 | 1.37068 | |||||||||
−1.86681e8 | − | 1.07780e8i | −0.578265 | − | 0.333861i | |||||
0 | 0 | |||||||||
−6.54378e7 | − | 1.13342e8i | −0.200939 | − | 0.348036i | |||||
3.15914e7 | − | 1.82393e7i | 0.0965852 | − | 0.0557635i | |||||
0 | 0 | |||||||||
−4.73402e7 | + | 8.19956e7i | −0.143482 | + | 0.248517i | −0.928805 | − | 0.370568i | ||
0.785324 | + | 0.619085i | ||||||||
− | 4.77150e8i | − | 1.43991i | |||||||
0 | 0 | |||||||||
4.12231e8 | 1.23328 | |||||||||
7.93612e6 | + | 4.58192e6i | 0.0236403 | + | 0.0136488i | |||||
0 | 0 | |||||||||
−3.00390e7 | − | 5.20292e7i | −0.0887131 | − | 0.153656i | |||||
1.17419e8 | − | 6.77921e7i | 0.345281 | − | 0.199348i | |||||
0 | 0 | |||||||||
1.13189e8 | − | 1.96048e8i | 0.329996 | − | 0.571569i | |||||
− | 7.92713e6i | − | 0.0230124i | −0.999934 | − | 0.0115062i | ||||
0.999934 | − | 0.0115062i | ||||||||
0 | 0 | |||||||||
−2.46857e8 | −0.710526 | |||||||||
1.73203e8 | + | 9.99988e7i | 0.496407 | + | 0.286600i | |||||
0 | 0 | |||||||||
2.12481e8 | + | 3.68028e8i | 0.603817 | + | 1.04584i | |||||
−2.77747e8 | + | 1.60357e8i | −0.785944 | + | 0.453765i | |||||
0 | 0 | |||||||||
3.32737e8 | − | 5.76317e8i | 0.933603 | − | 1.61705i | 0.156496 | − | 0.987679i | ||
0.777107 | − | 0.629369i | ||||||||
− | 1.30841e9i | − | 3.65569i | |||||||
0 | 0 | |||||||||
−6.44676e8 | −1.78608 | |||||||||
−2.39975e8 | − | 1.38550e8i | −0.662060 | − | 0.382241i | |||||
0 | 0 | |||||||||
1.42687e7 | + | 2.47142e7i | 0.0390362 | + | 0.0676127i | |||||
1.00186e9 | − | 5.78424e8i | 2.72940 | − | 1.57582i | |||||
0 | 0 | |||||||||
−2.56642e8 | + | 4.44516e8i | −0.693352 | + | 1.20092i | |||||
4.90198e8i | 1.31882i | 0.751784 | + | 0.659409i | ||||||
−0.751784 | + | 0.659409i | ||||||||
0 | 0 | |||||||||
3.86434e8 | 1.03103 | |||||||||
9.82051e8 | + | 5.66987e8i | 2.60929 | + | 1.50647i | |||||
0 | 0 | |||||||||
1.20914e8 | + | 2.09429e8i | 0.318610 | + | 0.551849i | |||||
−2.44564e7 | + | 1.41199e7i | −0.0641769 | + | 0.0370526i | |||||
0 | 0 | |||||||||
1.04654e8 | − | 1.81265e8i | 0.272365 | − | 0.471750i | −0.697102 | − | 0.716972i | ||
0.969467 | + | 0.245222i | ||||||||
8.78030e7i | 0.227570i | |||||||||
0 | 0 | |||||||||
−1.47877e9 | −3.80129 | |||||||||
−3.25740e7 | − | 1.88066e7i | −0.0833910 | − | 0.0481458i | |||||
0 | 0 | |||||||||
1.83336e8 | + | 3.17547e8i | 0.465517 | + | 0.806299i | 0.999225 | − | 0.0393698i | ||
−0.533708 | + | 0.845669i | ||||||||
−6.18029e8 | + | 3.56819e8i | −1.56286 | + | 0.902319i | |||||
0 | 0 | |||||||||
6.98490e7 | − | 1.20982e8i | 0.175197 | − | 0.303450i | |||||
4.64201e8i | 1.15959i | |||||||||
0 | 0 | |||||||||
−6.11387e8 | −1.51490 | −0.757449 | − | 0.652895i | ||||||
−0.757449 | + | 0.652895i | ||||||||
3.51166e8 | + | 2.02746e8i | 0.866597 | + | 0.500330i | |||||
0 | 0 | |||||||||
−7.76880e8 | − | 1.34560e9i | −1.90170 | − | 3.29384i | |||||
−1.81962e8 | + | 1.05056e8i | −0.443623 | + | 0.256126i | −0.705133 | − | 0.709075i | ||
0.261510 | + | 0.965201i | ||||||||
0 | 0 | |||||||||
−1.11891e8 | + | 1.93800e8i | −0.270598 | + | 0.468690i | |||||
1.33289e9i | 3.21053i | |||||||||
0 | 0 | |||||||||
−2.58774e8 | −0.618324 | |||||||||
1.53993e8 | + | 8.89079e7i | 0.366484 | + | 0.211590i | |||||
0 | 0 | |||||||||
−2.52848e8 | − | 4.37946e8i | −0.596953 | − | 1.03395i | −0.993268 | − | 0.115839i | ||
0.396315 | − | 0.918115i | ||||||||
1.26640e8 | − | 7.31157e7i | 0.297795 | − | 0.171932i | |||||
0 | 0 | |||||||||
1.04172e7 | − | 1.80432e7i | 0.0243018 | − | 0.0420919i | |||||
− | 5.02430e7i | − | 0.116744i | |||||||
0 | 0 | |||||||||
4.19839e8 | 0.967822 | 0.483911 | − | 0.875117i | ||||||
0.483911 | + | 0.875117i | ||||||||
−6.86819e8 | − | 3.96535e8i | −1.57701 | − | 0.910487i | |||||
0 | 0 | |||||||||
−7.76143e8 | − | 1.34432e9i | −1.76808 | − | 3.06240i | |||||
6.34065e8 | − | 3.66078e8i | 1.43873 | − | 0.830653i | 0.440971 | − | 0.897521i | ||
0.997762 | + | 0.0668687i | ||||||||
0 | 0 | |||||||||
3.01675e8 | − | 5.22516e8i | 0.679150 | − | 1.17632i | |||||
1.36395e9i | 3.05856i | |||||||||
0 | 0 | |||||||||
−2.99601e8 | −0.666588 | |||||||||
2.41646e7 | + | 1.39514e7i | 0.0535542 | + | 0.0309195i | |||||
0 | 0 | |||||||||
1.26647e8 | + | 2.19359e8i | 0.278494 | + | 0.482366i | 0.971011 | − | 0.239036i | ||
−0.692517 | + | 0.721402i | ||||||||
1.05267e9 | − | 6.07760e8i | 2.30580 | − | 1.33125i | |||||
0 | 0 | |||||||||
−5.15923e8 | + | 8.93604e8i | −1.12133 | + | 1.94220i | |||||
− | 7.82197e8i | − | 1.69347i | −0.532014 | − | 0.846735i | ||||
0.532014 | − | 0.846735i | ||||||||
0 | 0 | |||||||||
8.54131e7 | 0.183493 | |||||||||
5.34208e8 | + | 3.08425e8i | 1.14321 | + | 0.660031i | |||||
0 | 0 | |||||||||
6.78558e8 | + | 1.17530e9i | 1.44095 | + | 2.49580i | |||||
3.73140e8 | − | 2.15433e8i | 0.789332 | − | 0.455721i | |||||
0 | 0 | |||||||||
4.11193e8 | − | 7.12207e8i | 0.863162 | − | 1.49504i | |||||
− | 2.34736e8i | − | 0.490861i | |||||||
0 | 0 | |||||||||
8.06983e8 | 1.67462 | |||||||||
6.17564e8 | + | 3.56550e8i | 1.27665 | + | 0.737076i | |||||
0 | 0 | |||||||||
−3.40918e8 | − | 5.90488e8i | −0.699401 | − | 1.21140i | −0.968674 | − | 0.248334i | ||
0.269274 | − | 0.963064i | ||||||||
−5.77775e8 | + | 3.33579e8i | −1.18081 | + | 0.681742i | |||||
0 | 0 | |||||||||
−4.99785e8 | + | 8.65653e8i | −1.01368 | + | 1.75575i | |||||
− | 1.26289e9i | − | 2.55173i | |||||||
0 | 0 | |||||||||
−1.89346e7 | −0.0379696 | |||||||||
3.31865e8 | + | 1.91602e8i | 0.662980 | + | 0.382771i | |||||
0 | 0 | |||||||||
−1.32793e8 | − | 2.30003e8i | −0.263290 | − | 0.456032i | |||||
−4.40332e7 | + | 2.54226e7i | −0.0869772 | + | 0.0502163i | −0.542858 | − | 0.839825i | ||
0.455881 | + | 0.890041i | ||||||||
0 | 0 | |||||||||
2.10132e7 | − | 3.63960e7i | 0.0411957 | − | 0.0713531i | |||||
4.30605e7i | 0.0841026i | |||||||||
0 | 0 | |||||||||
2.17108e8 | 0.420874 | |||||||||
−8.04936e8 | − | 4.64730e8i | −1.55459 | − | 0.897541i | |||||
0 | 0 | |||||||||
3.73948e8 | + | 6.47697e8i | 0.716843 | + | 1.24161i | |||||
−5.45727e7 | + | 3.15075e7i | −0.104225 | + | 0.0601741i | |||||
0 | 0 | |||||||||
3.11706e8 | − | 5.39890e8i | 0.590896 | − | 1.02346i | |||||
− | 1.02851e7i | − | 0.0194251i | −0.999953 | − | 0.00971257i | ||||
0.999953 | − | 0.00971257i | ||||||||
0 | 0 | |||||||||
4.84952e8 | 0.909152 | 0.454576 | − | 0.890708i | ||||||
0.454576 | + | 0.890708i | ||||||||
−5.21291e8 | − | 3.00968e8i | −0.973671 | − | 0.562149i | |||||
0 | 0 | |||||||||
1.87872e8 | + | 3.25404e8i | 0.348329 | + | 0.603323i | |||||
−3.57888e8 | + | 2.06627e8i | −0.661111 | + | 0.381693i | |||||
0 | 0 | |||||||||
1.34877e8 | − | 2.33613e8i | 0.247326 | − | 0.428382i | |||||
4.60389e8i | 0.841133i | |||||||||
0 | 0 | |||||||||
−7.07746e8 | −1.28362 | |||||||||
4.29688e8 | + | 2.48080e8i | 0.776468 | + | 0.448294i | 0.835177 | − | 0.549981i | ||
−0.0587089 | + | 0.998275i | ||||||||
0 | 0 | |||||||||
1.60742e8 | + | 2.78412e8i | 0.288356 | + | 0.499447i | 0.973417 | − | 0.229038i | ||
−0.685062 | + | 0.728485i | ||||||||
−6.50522e8 | + | 3.75579e8i | −1.16273 | + | 0.671305i | |||||
0 | 0 | |||||||||
5.94245e8 | − | 1.02926e9i | 1.05445 | − | 1.82636i | |||||
7.54902e8i | 1.33467i | 0.744757 | + | 0.667336i | ||||||
−0.744757 | + | 0.667336i | ||||||||
0 | 0 | |||||||||
−5.82262e8 | −1.02201 | −0.511004 | − | 0.859578i | ||||||
−0.511004 | + | 0.859578i | ||||||||
−1.51705e9 | − | 8.75868e8i | −2.65317 | − | 1.53181i | |||||
0 | 0 | |||||||||
1.39921e7 | + | 2.42350e7i | 0.0242948 | + | 0.0420798i | |||||
2.00852e8 | − | 1.15962e8i | 0.347490 | − | 0.200623i | |||||
0 | 0 | |||||||||
−3.28693e8 | + | 5.69312e8i | −0.564587 | + | 0.977893i | |||||
− | 1.85586e9i | − | 3.17634i | |||||||
0 | 0 | |||||||||
1.25003e9 | 2.12416 | |||||||||
−5.75163e8 | − | 3.32071e8i | −0.973879 | − | 0.562270i | −0.0734627 | − | 0.997298i | ||
−0.900417 | + | 0.435028i | ||||||||
0 | 0 | |||||||||
−2.59867e8 | − | 4.50103e8i | −0.436881 | − | 0.756700i | |||||
−1.16186e9 | + | 6.70800e8i | −1.94633 | + | 1.12372i | |||||
0 | 0 | |||||||||
5.59987e8 | − | 9.69926e8i | 0.931431 | − | 1.61329i | |||||
− | 6.59301e8i | − | 1.09273i | |||||||
0 | 0 | |||||||||
−1.47943e8 | −0.243470 | |||||||||
1.01505e9 | + | 5.86042e8i | 1.66457 | + | 0.961039i | |||||
0 | 0 | |||||||||
3.61775e7 | + | 6.26612e7i | 0.0589090 | + | 0.102033i | |||||
−2.00217e8 | + | 1.15596e8i | −0.324873 | + | 0.187565i | |||||
0 | 0 | |||||||||
−3.93890e8 | + | 6.82237e8i | −0.634640 | + | 1.09923i | 0.351951 | + | 0.936018i | ||
−0.986591 | + | 0.163211i | ||||||||
8.06497e8i | 1.29488i | |||||||||
0 | 0 | |||||||||
−3.45642e8 | −0.551067 | |||||||||
−8.35866e8 | − | 4.82588e8i | −1.32799 | − | 0.766715i | −0.343000 | − | 0.939335i | ||
−0.984988 | + | 0.172621i | ||||||||
0 | 0 | |||||||||
2.97728e8 | + | 5.15681e8i | 0.469722 | + | 0.813582i | 0.999401 | − | 0.0346161i | ||
−0.529679 | + | 0.848198i | ||||||||
−3.83736e8 | + | 2.21550e8i | −0.603306 | + | 0.348319i | |||||
0 | 0 | |||||||||
−5.68149e8 | + | 9.84063e8i | −0.887034 | + | 1.53639i | |||||
− | 9.85551e8i | − | 1.53337i | −0.642024 | − | 0.766684i | ||||
0.642024 | − | 0.766684i | ||||||||
0 | 0 | |||||||||
−4.85907e8 | −0.750766 | |||||||||
4.28150e8 | + | 2.47192e8i | 0.659237 | + | 0.380611i | |||||
0 | 0 | |||||||||
9.10294e8 | + | 1.57668e9i | 1.39195 | + | 2.41092i | |||||
−5.44096e8 | + | 3.14134e8i | −0.829117 | + | 0.478691i | |||||
0 | 0 | |||||||||
−3.24761e7 | + | 5.62503e7i | −0.0491484 | + | 0.0851276i | |||||
1.17280e9i | 1.76879i | |||||||||
0 | 0 | |||||||||
1.68347e9 | 2.52157 | |||||||||
7.57567e8 | + | 4.37382e8i | 1.13083 | + | 0.652884i | |||||
0 | 0 | |||||||||
−1.84340e8 | − | 3.19286e8i | −0.273288 | − | 0.473349i | 0.696413 | − | 0.717641i | ||
−0.969702 | + | 0.244291i | ||||||||
5.65631e8 | − | 3.26567e8i | 0.835698 | − | 0.482491i | |||||
0 | 0 | |||||||||
−4.58466e8 | + | 7.94086e8i | −0.672758 | + | 1.16525i | |||||
− | 7.29792e8i | − | 1.06726i | −0.845717 | − | 0.533632i | ||||
0.845717 | − | 0.533632i | ||||||||
0 | 0 | |||||||||
−7.12900e7 | −0.103549 | −0.0517746 | − | 0.998659i | ||||||
−0.0517746 | + | 0.998659i | ||||||||
−3.13574e7 | − | 1.81042e7i | −0.0453924 | − | 0.0262073i | |||||
0 | 0 | |||||||||
−8.39516e8 | − | 1.45408e9i | −1.20706 | − | 2.09068i | |||||
2.73062e8 | − | 1.57653e8i | 0.391283 | − | 0.225907i | −0.291433 | − | 0.956591i | ||
0.682716 | + | 0.730684i | ||||||||
0 | 0 | |||||||||
−3.95897e8 | + | 6.85715e8i | −0.563479 | + | 0.975974i | |||||
1.24877e9i | 1.77139i | |||||||||
0 | 0 | |||||||||
−1.26546e9 | −1.78301 | |||||||||
2.61023e8 | + | 1.50702e8i | 0.366543 | + | 0.211624i | |||||
0 | 0 | |||||||||
−5.89039e8 | − | 1.02025e9i | −0.821628 | − | 1.42310i | |||||
1.40925e9 | − | 8.13632e8i | 1.95914 | − | 1.13111i | |||||
0 | 0 | |||||||||
−6.87989e8 | + | 1.19163e9i | −0.950063 | + | 1.64556i | |||||
− | 2.27113e8i | − | 0.312581i | |||||||
0 | 0 | |||||||||
3.36853e8 | 0.460539 | |||||||||
−5.67961e8 | − | 3.27913e8i | −0.773925 | − | 0.446826i | |||||
0 | 0 | |||||||||
1.22741e9 | + | 2.12594e9i | 1.66144 | + | 2.87770i | |||||
2.13272e8 | − | 1.23133e8i | 0.287732 | − | 0.166122i | |||||
0 | 0 | |||||||||
2.85210e8 | − | 4.93997e8i | 0.382245 | − | 0.662068i | −0.609137 | − | 0.793065i | ||
0.991383 | + | 0.130996i | ||||||||
4.94454e8i | 0.660493i | |||||||||
0 | 0 | |||||||||
1.70079e8 | 0.225697 | |||||||||
−2.97529e8 | − | 1.71779e8i | −0.393527 | − | 0.227203i | 0.290160 | − | 0.956978i | ||
−0.683687 | + | 0.729775i | ||||||||
0 | 0 | |||||||||
−5.50516e8 | − | 9.53522e8i | −0.723366 | − | 1.25291i | |||||
9.93984e7 | − | 5.73877e7i | 0.130179 | − | 0.0751589i | |||||
0 | 0 | |||||||||
3.36616e8 | − | 5.83036e8i | 0.437974 | − | 0.758593i | |||||
5.80262e8i | 0.752517i | |||||||||
0 | 0 | |||||||||
7.92851e8 | 1.02152 | 0.510758 | − | 0.859725i | ||||||
0.510758 | + | 0.859725i | ||||||||
−1.25901e9 | − | 7.26888e8i | −1.61683 | − | 0.933477i | |||||
0 | 0 | |||||||||
1.09536e9 | + | 1.89721e9i | 1.39753 | + | 2.42060i | |||||
9.96539e7 | − | 5.75352e7i | 0.126733 | − | 0.0731693i | |||||
0 | 0 | |||||||||
3.56312e7 | − | 6.17151e7i | 0.0450200 | − | 0.0779769i | |||||
− | 1.07617e9i | − | 1.35533i | |||||||
0 | 0 | |||||||||
1.14498e8 | 0.143269 | |||||||||
−1.57986e8 | − | 9.12134e7i | −0.197048 | − | 0.113766i | 0.398230 | − | 0.917286i | ||
−0.595278 | + | 0.803520i | ||||||||
0 | 0 | |||||||||
8.31653e8 | + | 1.44047e9i | 1.03061 | + | 1.78506i | |||||
5.84750e8 | − | 3.37605e8i | 0.722308 | − | 0.417025i | |||||
0 | 0 | |||||||||
1.31062e9 | − | 2.27006e9i | 1.60855 | − | 2.78610i | |||||
2.63523e8i | 0.322392i | |||||||||
0 | 0 | |||||||||
−3.34488e8 | −0.406594 | −0.203297 | − | 0.979117i | ||||||
−0.203297 | + | 0.979117i | ||||||||
2.39591e9 | + | 1.38328e9i | 2.90310 | + | 1.67611i | |||||
0 | 0 | |||||||||
−2.47545e8 | − | 4.28760e8i | −0.298037 | − | 0.516216i | |||||
−2.52152e8 | + | 1.45580e8i | −0.302618 | + | 0.174716i | −0.643618 | − | 0.765347i | ||
0.341001 | + | 0.940063i | ||||||||
0 | 0 | |||||||||
2.01761e8 | − | 3.49460e8i | 0.240604 | − | 0.416738i | |||||
8.96540e8i | 1.06575i | |||||||||
0 | 0 | |||||||||
−4.10594e8 | −0.484997 | |||||||||
−1.46907e8 | − | 8.48169e7i | −0.172979 | − | 0.0998694i | 0.411011 | − | 0.911630i | ||
−0.583990 | + | 0.811761i | ||||||||
0 | 0 | |||||||||
−6.50263e7 | − | 1.12629e8i | −0.0760835 | − | 0.131780i | |||||
−4.49391e8 | + | 2.59456e8i | −0.524148 | + | 0.302617i | |||||
0 | 0 | |||||||||
−4.05399e8 | + | 7.02171e8i | −0.469863 | + | 0.813827i | |||||
5.17958e8i | 0.598434i | 0.954185 | + | 0.299217i | ||||||
−0.954185 | + | 0.299217i | ||||||||
0 | 0 | |||||||||
1.38898e9 | 1.59473 | |||||||||
2.21049e9 | + | 1.27623e9i | 2.52996 | + | 1.46068i | |||||
0 | 0 | |||||||||
−8.73214e8 | − | 1.51245e9i | −0.993171 | − | 1.72022i | |||||
1.42924e9 | − | 8.25172e8i | 1.62050 | − | 0.935597i | |||||
0 | 0 | |||||||||
1.00294e8 | − | 1.73713e8i | 0.113006 | − | 0.195733i | |||||
5.25751e7i | 0.0590548i | |||||||||
0 | 0 | |||||||||
2.05806e9 | 2.29735 | |||||||||
9.10004e8 | + | 5.25391e8i | 1.01266 | + | 0.584657i | |||||
0 | 0 | |||||||||
6.87108e8 | + | 1.19011e9i | 0.759881 | + | 1.31615i | 0.942911 | + | 0.333046i | ||
−0.183029 | + | 0.983107i | ||||||||
2.49048e8 | − | 1.43788e8i | 0.274572 | − | 0.158524i | |||||
0 | 0 | |||||||||
5.97436e8 | − | 1.03479e9i | 0.654600 | − | 1.13380i | |||||
7.45510e8i | 0.814321i | 0.913357 | + | 0.407160i | ||||||
−0.913357 | + | 0.407160i | ||||||||
0 | 0 | |||||||||
3.43276e7 | 0.0372653 | |||||||||
−7.44334e8 | − | 4.29742e8i | −0.805547 | − | 0.465083i | |||||
0 | 0 | |||||||||
−3.04191e8 | − | 5.26875e8i | −0.327188 | − | 0.566707i | |||||
−8.48899e8 | + | 4.90112e8i | −0.910274 | + | 0.525547i | −0.880519 | − | 0.474010i | ||
−0.0297550 | + | 0.999557i | ||||||||
0 | 0 | |||||||||
−3.92450e8 | + | 6.79743e8i | −0.418250 | + | 0.724431i | |||||
− | 2.73217e9i | − | 2.90288i | |||||||
0 | 0 | |||||||||
−9.14080e8 | −0.965272 | |||||||||
−8.77524e8 | − | 5.06639e8i | −0.923844 | − | 0.533381i | −0.0389845 | − | 0.999240i | ||
−0.884859 | + | 0.465858i | ||||||||
0 | 0 | |||||||||
3.39701e8 | + | 5.88379e8i | 0.355458 | + | 0.615671i | |||||
1.66616e8 | − | 9.61957e7i | 0.173814 | − | 0.100352i | |||||
0 | 0 | |||||||||
1.29839e8 | − | 2.24887e8i | 0.134627 | − | 0.233182i | |||||
− | 2.52634e8i | − | 0.261158i | |||||||
0 | 0 | |||||||||
−1.85231e9 | −1.90324 | −0.951620 | − | 0.307279i | ||||||
−0.951620 | + | 0.307279i | ||||||||
−2.99909e8 | − | 1.73153e8i | −0.307224 | − | 0.177376i | |||||
0 | 0 | |||||||||
−2.45064e9 | − | 4.24464e9i | −2.49529 | − | 4.32197i | |||||
−2.34225e8 | + | 1.35230e8i | −0.237773 | + | 0.137279i | |||||
0 | 0 | |||||||||
−6.28324e8 | + | 1.08829e9i | −0.634013 | + | 1.09814i | 0.352710 | + | 0.935733i | ||
−0.986723 | + | 0.162410i | ||||||||
− | 4.04941e8i | − | 0.407380i | |||||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 81.7.d.e.26.4 | 8 | ||
3.2 | odd | 2 | inner | 81.7.d.e.26.1 | 8 | ||
9.2 | odd | 6 | 27.7.b.c.26.4 | yes | 4 | ||
9.4 | even | 3 | inner | 81.7.d.e.53.1 | 8 | ||
9.5 | odd | 6 | inner | 81.7.d.e.53.4 | 8 | ||
9.7 | even | 3 | 27.7.b.c.26.1 | ✓ | 4 | ||
36.7 | odd | 6 | 432.7.e.j.161.4 | 4 | |||
36.11 | even | 6 | 432.7.e.j.161.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.7.b.c.26.1 | ✓ | 4 | 9.7 | even | 3 | ||
27.7.b.c.26.4 | yes | 4 | 9.2 | odd | 6 | ||
81.7.d.e.26.1 | 8 | 3.2 | odd | 2 | inner | ||
81.7.d.e.26.4 | 8 | 1.1 | even | 1 | trivial | ||
81.7.d.e.53.1 | 8 | 9.4 | even | 3 | inner | ||
81.7.d.e.53.4 | 8 | 9.5 | odd | 6 | inner | ||
432.7.e.j.161.1 | 4 | 36.11 | even | 6 | |||
432.7.e.j.161.4 | 4 | 36.7 | odd | 6 |