Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,8,Mod(67,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.67");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 294.e (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: | |
Coefficient field: | |
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 42) |
Sato-Tate group: |
Embedding invariants
Embedding label | 79.1 | ||
Root | of defining polynomial | ||
Character | 294.79 | ||
Dual form | 294.8.e.a.67.1 |
-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 .
−4.00000 | + | 6.92820i | −0.353553 | + | 0.612372i | |||||
−13.5000 | − | 23.3827i | −0.288675 | − | 0.500000i | |||||
−32.0000 | − | 55.4256i | −0.250000 | − | 0.433013i | |||||
−235.000 | + | 407.032i | −0.840762 | + | 1.45624i | 0.0484902 | + | 0.998824i | ||
−0.889252 | + | 0.457418i | ||||||||
216.000 | 0.408248 | |||||||||
0 | 0 | |||||||||
512.000 | 0.353553 | |||||||||
−364.500 | + | 631.333i | −0.166667 | + | 0.288675i | |||||
−1880.00 | − | 3256.26i | −0.594508 | − | 1.02972i | |||||
3634.00 | + | 6294.27i | 0.823210 | + | 1.42584i | 0.903280 | + | 0.429052i | ||
−0.0800700 | + | 0.996789i | ||||||||
−864.000 | + | 1496.49i | −0.144338 | + | 0.250000i | |||||
11382.0 | 1.43687 | 0.718434 | − | 0.695595i | ||||||
0.718434 | + | 0.695595i | ||||||||
0 | 0 | |||||||||
12690.0 | 0.970828 | |||||||||
−2048.00 | + | 3547.24i | −0.125000 | + | 0.216506i | |||||
−10421.0 | − | 18049.7i | −0.514444 | − | 0.891043i | −0.999860 | − | 0.0167597i | ||
0.485415 | − | 0.874284i | ||||||||
−2916.00 | − | 5050.66i | −0.117851 | − | 0.204124i | |||||
6842.00 | − | 11850.7i | 0.228847 | − | 0.396375i | −0.728620 | − | 0.684919i | ||
0.957467 | + | 0.288544i | ||||||||
30080.0 | 0.840762 | |||||||||
0 | 0 | |||||||||
−58144.0 | −1.16419 | |||||||||
23368.0 | − | 40474.6i | 0.400474 | − | 0.693641i | −0.593309 | − | 0.804975i | ||
0.993783 | + | 0.111334i | ||||||||
−6912.00 | − | 11971.9i | −0.102062 | − | 0.176777i | |||||
−71387.5 | − | 123647.i | −0.913760 | − | 1.58268i | |||||
−45528.0 | + | 78856.8i | −0.508010 | + | 0.879898i | |||||
19683.0 | 0.192450 | |||||||||
0 | 0 | |||||||||
2774.00 | 0.0211210 | 0.0105605 | − | 0.999944i | ||||||
0.0105605 | + | 0.999944i | ||||||||
−50760.0 | + | 87918.9i | −0.343239 | + | 0.594508i | |||||
5616.00 | + | 9727.20i | 0.0338580 | + | 0.0586438i | 0.882458 | − | 0.470391i | ||
−0.848600 | + | 0.529035i | ||||||||
−16384.0 | − | 28377.9i | −0.0883883 | − | 0.153093i | |||||
98118.0 | − | 169945.i | 0.475280 | − | 0.823210i | |||||
166736. | 0.727534 | |||||||||
0 | 0 | |||||||||
46656.0 | 0.166667 | |||||||||
119849. | − | 207585.i | 0.388981 | − | 0.673735i | −0.603332 | − | 0.797490i | ||
0.992313 | + | 0.123755i | ||||||||
54736.0 | + | 94805.5i | 0.161819 | + | 0.280279i | |||||
−153657. | − | 266142.i | −0.414788 | − | 0.718434i | |||||
−120320. | + | 208400.i | −0.297254 | + | 0.514859i | |||||
52962.0 | 0.120011 | 0.0600055 | − | 0.998198i | ||||||
0.0600055 | + | 0.998198i | ||||||||
0 | 0 | |||||||||
−874732. | −1.67778 | −0.838891 | − | 0.544300i | ||||||
−0.838891 | + | 0.544300i | ||||||||
232576. | − | 402833.i | 0.411605 | − | 0.712921i | |||||
−171315. | − | 296726.i | −0.280254 | − | 0.485414i | |||||
186944. | + | 323797.i | 0.283178 | + | 0.490478i | |||||
225648. | − | 390834.i | 0.317022 | − | 0.549098i | −0.662843 | − | 0.748758i | ||
0.979865 | + | 0.199660i | ||||||||
110592. | 0.144338 | |||||||||
0 | 0 | |||||||||
1.14220e6 | 1.29225 | |||||||||
−281367. | + | 487342.i | −0.297014 | + | 0.514444i | |||||
−364224. | − | 630854.i | −0.359217 | − | 0.622182i | |||||
971769. | + | 1.68315e6i | 0.896597 | + | 1.55295i | 0.831815 | + | 0.555053i | ||
0.0647824 | + | 0.997899i | ||||||||
−78732.0 | + | 136368.i | −0.0680414 | + | 0.117851i | |||||
−3.41596e6 | −2.76849 | |||||||||
0 | 0 | |||||||||
−369468. | −0.264250 | |||||||||
−11096.0 | + | 19218.8i | −0.00746738 | + | 0.0129339i | |||||
−781954. | − | 1.35438e6i | −0.495677 | − | 0.858539i | 0.504310 | − | 0.863523i | ||
−0.999988 | + | 0.00498408i | ||||||||
−406080. | − | 703351.i | −0.242707 | − | 0.420381i | |||||
1.59185e6 | − | 2.75716e6i | 0.897938 | − | 1.55527i | 0.0678122 | − | 0.997698i | ||
0.830126 | − | 0.557576i | ||||||||
−89856.0 | −0.0478824 | |||||||||
0 | 0 | |||||||||
262144. | 0.125000 | |||||||||
−2.67477e6 | + | 4.63284e6i | −1.20806 | + | 2.09243i | |||||
784944. | + | 1.35956e6i | 0.336074 | + | 0.582097i | |||||
−1.06434e6 | − | 1.84349e6i | −0.432334 | − | 0.748824i | 0.564740 | − | 0.825269i | ||
−0.997074 | + | 0.0764445i | ||||||||
−666944. | + | 1.15518e6i | −0.257222 | + | 0.445522i | |||||
−1.26187e6 | −0.462427 | |||||||||
0 | 0 | |||||||||
5.69454e6 | 1.88823 | 0.944115 | − | 0.329617i | ||||||
0.944115 | + | 0.329617i | ||||||||
−186624. | + | 323242.i | −0.0589256 | + | 0.102062i | |||||
1.12694e6 | + | 1.95192e6i | 0.339055 | + | 0.587261i | 0.984255 | − | 0.176753i | ||
−0.645200 | + | 0.764014i | ||||||||
958792. | + | 1.66068e6i | 0.275051 | + | 0.476402i | |||||
−1.92746e6 | + | 3.33846e6i | −0.527560 | + | 0.913760i | |||||
−875776. | −0.228847 | |||||||||
0 | 0 | |||||||||
2.45851e6 | 0.586599 | |||||||||
−66456.0 | + | 115105.i | −0.0151649 | + | 0.0262664i | −0.873508 | − | 0.486809i | ||
0.858343 | + | 0.513076i | ||||||||
−962560. | − | 1.66720e6i | −0.210190 | − | 0.364060i | |||||
−265720. | − | 460241.i | −0.0555556 | − | 0.0962250i | |||||
−211848. | + | 366931.i | −0.0424303 | + | 0.0734914i | |||||
6.95052e6 | 1.33427 | 0.667136 | − | 0.744936i | ||||||
0.667136 | + | 0.744936i | ||||||||
0 | 0 | |||||||||
9.79574e6 | 1.73010 | |||||||||
3.49893e6 | − | 6.06032e6i | 0.593185 | − | 1.02743i | |||||
−37449.0 | − | 64863.6i | −0.00609709 | − | 0.0105605i | |||||
1.86061e6 | + | 3.22267e6i | 0.291049 | + | 0.504111i | |||||
5.31326e6 | − | 9.20283e6i | 0.798906 | − | 1.38375i | −0.121423 | − | 0.992601i | ||
0.920329 | − | 0.391145i | ||||||||
2.74104e6 | 0.396339 | |||||||||
0 | 0 | |||||||||
−2.99110e6 | −0.400474 | |||||||||
151632. | − | 262634.i | 0.0195479 | − | 0.0338580i | |||||
1.80518e6 | + | 3.12667e6i | 0.224168 | + | 0.388271i | |||||
3.21574e6 | + | 5.56983e6i | 0.384812 | + | 0.666513i | |||||
−442368. | + | 766204.i | −0.0510310 | + | 0.0883883i | |||||
2.40709e6 | 0.267788 | 0.133894 | − | 0.990996i | ||||||
0.133894 | + | 0.990996i | ||||||||
0 | 0 | |||||||||
−5.29837e6 | −0.548807 | |||||||||
−4.56880e6 | + | 7.91339e6i | −0.456880 | + | 0.791339i | |||||
−3.88788e6 | − | 6.73400e6i | −0.375481 | − | 0.650351i | 0.614918 | − | 0.788591i | ||
−0.990399 | + | 0.138239i | ||||||||
−2.25094e6 | − | 3.89874e6i | −0.210021 | − | 0.363767i | |||||
6.61701e6 | − | 1.14610e7i | 0.596666 | − | 1.03346i | −0.396643 | − | 0.917973i | ||
0.993309 | − | 0.115484i | ||||||||
5.82758e6 | 0.508010 | |||||||||
0 | 0 | |||||||||
−1.55483e7 | −1.26798 | |||||||||
3.60472e6 | − | 6.24356e6i | 0.284465 | − | 0.492708i | −0.688014 | − | 0.725697i | ||
0.972479 | + | 0.232989i | ||||||||
−629856. | − | 1.09094e6i | −0.0481125 | − | 0.0833333i | |||||
−1.94519e6 | − | 3.36916e6i | −0.143869 | − | 0.249189i | 0.785081 | − | 0.619393i | ||
−0.928951 | + | 0.370204i | ||||||||
1.36638e7 | − | 2.36665e7i | 0.978810 | − | 1.69535i | |||||
−6.47185e6 | −0.449157 | |||||||||
0 | 0 | |||||||||
1.46647e7 | 0.956091 | 0.478046 | − | 0.878335i | ||||||
0.478046 | + | 0.878335i | ||||||||
1.47787e6 | − | 2.55975e6i | 0.0934264 | − | 0.161819i | |||||
1.09830e7 | + | 1.90230e7i | 0.673406 | + | 1.16637i | |||||
−88768.0 | − | 153751.i | −0.00528024 | − | 0.00914564i | |||||
−4.14874e6 | + | 7.18583e6i | −0.239478 | + | 0.414788i | |||||
1.25113e7 | 0.700994 | |||||||||
0 | 0 | |||||||||
6.49728e6 | 0.343239 | |||||||||
−1.66683e7 | + | 2.88704e7i | −0.855349 | + | 1.48151i | |||||
1.27348e7 | + | 2.20573e7i | 0.634938 | + | 1.09974i | |||||
−714987. | − | 1.23839e6i | −0.0346442 | − | 0.0600055i | |||||
359424. | − | 622541.i | 0.0169290 | − | 0.0293219i | |||||
3.03855e7 | 1.39149 | |||||||||
0 | 0 | |||||||||
3.87331e6 | 0.167791 | 0.0838957 | − | 0.996475i | ||||||
0.0838957 | + | 0.996475i | ||||||||
−1.04858e6 | + | 1.81619e6i | −0.0441942 | + | 0.0765466i | |||||
1.18089e7 | + | 2.04536e7i | 0.484334 | + | 0.838891i | |||||
−2.13982e7 | − | 3.70627e7i | −0.854230 | − | 1.47957i | |||||
−1.13738e7 | + | 1.97000e7i | −0.442035 | + | 0.765627i | −0.997840 | − | 0.0656854i | ||
0.555805 | + | 0.831312i | ||||||||
−1.25591e7 | −0.475280 | |||||||||
0 | 0 | |||||||||
1.70295e7 | 0.611413 | |||||||||
−4.62550e6 | + | 8.01161e6i | −0.161805 | + | 0.280254i | |||||
−5.33555e6 | − | 9.24145e6i | −0.181883 | − | 0.315031i | |||||
2.11191e7 | + | 3.65794e7i | 0.701703 | + | 1.21539i | 0.967868 | + | 0.251458i | ||
−0.266165 | + | 0.963927i | ||||||||
5.04749e6 | − | 8.74251e6i | 0.163493 | − | 0.283178i | |||||
−2.02320e6 | −0.0638978 | −0.0319489 | − | 0.999490i | ||||||
−0.0319489 | + | 0.999490i | ||||||||
0 | 0 | |||||||||
−1.21850e7 | −0.366065 | |||||||||
−2.27782e7 | + | 3.94530e7i | −0.667590 | + | 1.15630i | |||||
4.13622e7 | + | 7.16414e7i | 1.18284 | + | 2.04875i | |||||
−1.49299e6 | − | 2.58594e6i | −0.0416667 | − | 0.0721688i | |||||
−651890. | + | 1.12911e6i | −0.0177577 | + | 0.0307572i | |||||
−1.80310e7 | −0.479496 | |||||||||
0 | 0 | |||||||||
−1.53407e7 | −0.388981 | |||||||||
−3.16509e7 | + | 5.48209e7i | −0.783851 | + | 1.35767i | 0.145832 | + | 0.989309i | ||
−0.929683 | + | 0.368360i | ||||||||
−1.54197e7 | − | 2.67077e7i | −0.373041 | − | 0.646126i | |||||
2.69813e7 | + | 4.67330e7i | 0.637739 | + | 1.10460i | 0.985928 | + | 0.167173i | ||
−0.348188 | + | 0.937425i | ||||||||
3.50310e6 | − | 6.06755e6i | 0.0809097 | − | 0.140140i | |||||
1.51938e7 | 0.342963 | |||||||||
0 | 0 | |||||||||
−5.27904e6 | −0.113866 | |||||||||
−9.83405e6 | + | 1.70331e7i | −0.207394 | + | 0.359217i | |||||
−2.91683e7 | − | 5.05211e7i | −0.601538 | − | 1.04189i | −0.992588 | − | 0.121525i | ||
0.391050 | − | 0.920369i | ||||||||
−531648. | − | 920841.i | −0.0107232 | − | 0.0185731i | |||||
2.62378e7 | − | 4.54451e7i | 0.517651 | − | 0.896597i | |||||
1.54010e7 | 0.297254 | |||||||||
0 | 0 | |||||||||
4.25153e6 | 0.0785674 | |||||||||
−3.02922e7 | + | 5.24677e7i | −0.547867 | + | 0.948933i | 0.450554 | + | 0.892749i | ||
−0.998420 | + | 0.0561836i | ||||||||
−1.69478e6 | − | 2.93545e6i | −0.0300027 | − | 0.0519663i | |||||
4.61155e7 | + | 7.98743e7i | 0.799195 | + | 1.38425i | |||||
−2.78021e7 | + | 4.81546e7i | −0.471736 | + | 0.817071i | |||||
5.94193e7 | 0.987234 | 0.493617 | − | 0.869680i | ||||||
0.493617 | + | 0.869680i | ||||||||
0 | 0 | |||||||||
6.68014e7 | 1.06459 | |||||||||
−3.91830e7 | + | 6.78669e7i | −0.611682 | + | 1.05947i | |||||
4.98782e6 | + | 8.63915e6i | 0.0762824 | + | 0.132125i | |||||
2.79914e7 | + | 4.84826e7i | 0.419445 | + | 0.726501i | |||||
−2.79283e7 | + | 4.83732e7i | −0.410094 | + | 0.710303i | −0.994900 | − | 0.100870i | ||
0.584806 | + | 0.811173i | ||||||||
599184. | 0.00862259 | |||||||||
0 | 0 | |||||||||
−2.97697e7 | −0.411605 | |||||||||
−2.11128e7 | + | 3.65684e7i | −0.286180 | + | 0.495677i | |||||
4.25060e7 | + | 7.36226e7i | 0.564912 | + | 0.978456i | |||||
−4.01126e7 | − | 6.94771e7i | −0.522752 | − | 0.905432i | −0.999650 | − | 0.0264736i | ||
0.476898 | − | 0.878959i | ||||||||
−1.09642e7 | + | 1.89905e7i | −0.140127 | + | 0.242707i | |||||
−7.18632e7 | −0.900807 | −0.450403 | − | 0.892825i | ||||||
−0.450403 | + | 0.892825i | ||||||||
0 | 0 | |||||||||
−8.59596e7 | −1.03685 | |||||||||
1.19644e7 | − | 2.07230e7i | 0.141589 | − | 0.245239i | |||||
5.63290e7 | + | 9.75647e7i | 0.654081 | + | 1.13290i | |||||
1.21306e6 | + | 2.10107e6i | 0.0138225 | + | 0.0239412i | |||||
7.57398e7 | − | 1.31185e8i | 0.846991 | − | 1.46703i | |||||
−2.88829e7 | −0.317022 | |||||||||
0 | 0 | |||||||||
−5.14518e7 | −0.544206 | |||||||||
8.37176e6 | − | 1.45003e7i | 0.0869361 | − | 0.150578i | −0.819278 | − | 0.573396i | ||
0.906215 | + | 0.422818i | ||||||||
−3.53894e6 | − | 6.12963e6i | −0.0360844 | − | 0.0625000i | |||||
6.73511e7 | + | 1.16656e8i | 0.674364 | + | 1.16803i | 0.976654 | + | 0.214816i | ||
−0.302291 | + | 0.953216i | ||||||||
−9.62836e6 | + | 1.66768e7i | −0.0946774 | + | 0.163986i | |||||
1.44438e8 | 1.39495 | |||||||||
0 | 0 | |||||||||
−5.89413e7 | −0.549273 | −0.274636 | − | 0.961548i | ||||||
−0.274636 | + | 0.961548i | ||||||||
2.11935e7 | − | 3.67082e7i | 0.194032 | − | 0.336074i | |||||
−6.56866e7 | − | 1.13773e8i | −0.590869 | − | 1.02341i | −0.994116 | − | 0.108324i | ||
0.403247 | − | 0.915091i | ||||||||
−3.65504e7 | − | 6.33071e7i | −0.323063 | − | 0.559561i | |||||
−2.87372e7 | + | 4.97743e7i | −0.249608 | + | 0.432334i | |||||
6.22060e7 | 0.531010 | |||||||||
0 | 0 | |||||||||
3.60150e7 | 0.297014 | |||||||||
−1.24461e7 | + | 2.15572e7i | −0.100901 | + | 0.174765i | |||||
5.29361e7 | + | 9.16880e7i | 0.421907 | + | 0.730764i | |||||
1.70353e7 | + | 2.95060e7i | 0.133491 | + | 0.231214i | |||||
−2.33103e7 | + | 4.03747e7i | −0.179608 | + | 0.311091i | |||||
9.94553e7 | 0.753557 | |||||||||
0 | 0 | |||||||||
−2.96600e7 | −0.217362 | −0.108681 | − | 0.994077i | ||||||
−0.108681 | + | 0.994077i | ||||||||
6.21932e7 | − | 1.07722e8i | 0.448299 | − | 0.776476i | |||||
−7.68763e7 | − | 1.33154e8i | −0.545085 | − | 0.944115i | |||||
2.88378e7 | + | 4.99485e7i | 0.201147 | + | 0.348397i | |||||
2.05562e8 | − | 3.56044e8i | 1.41061 | − | 2.44326i | |||||
1.00777e7 | 0.0680414 | |||||||||
0 | 0 | |||||||||
3.11230e7 | 0.203462 | |||||||||
3.04274e7 | − | 5.27017e7i | 0.195754 | − | 0.339055i | |||||
1.09311e8 | + | 1.89332e8i | 0.692123 | + | 1.19879i | |||||
−1.18612e8 | − | 2.05442e8i | −0.739188 | − | 1.28031i | |||||
2.58874e7 | − | 4.48383e7i | 0.158801 | − | 0.275051i | |||||
3.16037e8 | 1.90841 | 0.954203 | − | 0.299161i | ||||||
0.954203 | + | 0.299161i | ||||||||
0 | 0 | |||||||||
1.04083e8 | 0.609173 | |||||||||
−5.86589e7 | + | 1.01600e8i | −0.338029 | + | 0.585484i | |||||
−2.38028e7 | − | 4.12277e7i | −0.135063 | − | 0.233937i | 0.790558 | − | 0.612387i | ||
−0.925622 | + | 0.378450i | ||||||||
1.18230e7 | + | 2.04780e7i | 0.0660625 | + | 0.114424i | |||||
5.21444e7 | − | 9.03168e7i | 0.286935 | − | 0.496986i | −0.686142 | − | 0.727468i | ||
0.973077 | + | 0.230482i | ||||||||
−1.75727e8 | −0.952340 | |||||||||
0 | 0 | |||||||||
1.42029e6 | 0.00746738 | |||||||||
−1.17529e8 | + | 2.03567e8i | −0.608697 | + | 1.05429i | 0.382759 | + | 0.923848i | ||
−0.991456 | + | 0.130445i | ||||||||
−3.31899e7 | − | 5.74866e7i | −0.169337 | − | 0.293299i | |||||
1.06055e8 | + | 1.83692e8i | 0.533079 | + | 0.923320i | |||||
−5.00451e7 | + | 8.66806e7i | −0.247839 | + | 0.429269i | |||||
3.58862e6 | 0.0175109 | |||||||||
0 | 0 | |||||||||
3.74362e7 | 0.177378 | 0.0886888 | − | 0.996059i | ||||||
0.0886888 | + | 0.996059i | ||||||||
−2.59891e7 | + | 4.50145e7i | −0.121353 | + | 0.210190i | |||||
−4.93834e6 | − | 8.55345e6i | −0.0227259 | − | 0.0393624i | 0.854439 | − | 0.519552i | ||
−0.877165 | + | 0.480190i | ||||||||
−1.33347e8 | − | 2.30963e8i | −0.604823 | − | 1.04758i | |||||
−7.17445e6 | + | 1.24265e7i | −0.0320750 | + | 0.0555556i | |||||
−2.03756e8 | −0.897938 | |||||||||
0 | 0 | |||||||||
1.14398e7 | 0.0489943 | |||||||||
7.78756e7 | − | 1.34885e8i | 0.328823 | − | 0.569538i | |||||
2.87539e6 | + | 4.98033e6i | 0.0119706 | + | 0.0207337i | |||||
−9.38321e7 | − | 1.62522e8i | −0.385171 | − | 0.667136i | |||||
−1.21542e8 | + | 2.10517e8i | −0.491967 | + | 0.852113i | |||||
1.32438e8 | 0.528634 | 0.264317 | − | 0.964436i | ||||||
0.264317 | + | 0.964436i | ||||||||
0 | 0 | |||||||||
3.39677e8 | 1.31870 | |||||||||
−1.54932e7 | + | 2.68351e7i | −0.0593232 | + | 0.102751i | |||||
−1.32242e8 | − | 2.29051e8i | −0.499437 | − | 0.865050i | |||||
−8.38861e6 | − | 1.45295e7i | −0.0312500 | − | 0.0541266i | |||||
−1.66334e8 | + | 2.88098e8i | −0.611243 | + | 1.05870i | 0.379788 | + | 0.925074i | ||
−0.991031 | + | 0.133631i | ||||||||
−1.88942e8 | −0.684951 | |||||||||
0 | 0 | |||||||||
3.42371e8 | 1.20806 | |||||||||
−1.01112e6 | + | 1.75132e6i | −0.00352016 | + | 0.00609709i | |||||
−9.09905e7 | − | 1.57600e8i | −0.312566 | − | 0.541380i | |||||
4.75614e7 | + | 8.23788e7i | 0.161217 | + | 0.279235i | 0.935305 | − | 0.353842i | ||
−0.774089 | + | 0.633077i | ||||||||
5.02364e7 | − | 8.70120e7i | 0.168037 | − | 0.291049i | |||||
−9.13463e8 | −3.01530 | |||||||||
0 | 0 | |||||||||
−2.86916e8 | −0.922497 | |||||||||
−6.81179e7 | + | 1.17984e8i | −0.216167 | + | 0.374412i | |||||
1.34427e8 | + | 2.32835e8i | 0.421071 | + | 0.729316i | 0.996044 | − | 0.0888560i | ||
−0.574974 | + | 0.818172i | ||||||||
−3.70040e7 | − | 6.40929e7i | −0.114413 | − | 0.198169i | |||||
−2.26442e8 | + | 3.92209e8i | −0.691137 | + | 1.19708i | 0.280329 | + | 0.959904i | ||
−0.971466 | + | 0.237180i | ||||||||
8.53688e7 | 0.257222 | |||||||||
0 | 0 | |||||||||
−3.37906e8 | −0.992358 | |||||||||
5.18844e8 | − | 8.98665e8i | 1.50443 | − | 2.60575i | |||||
4.03799e7 | + | 6.99400e7i | 0.115607 | + | 0.200237i | |||||
8.23547e6 | + | 1.42643e7i | 0.0232814 | + | 0.0403246i | 0.877431 | − | 0.479702i | ||
−0.854150 | + | 0.520027i | ||||||||
8.09278e6 | − | 1.40171e7i | 0.0225913 | − | 0.0391293i | |||||
−8.18813e6 | −0.0225720 | |||||||||
0 | 0 | |||||||||
5.08113e8 | 1.36612 | 0.683059 | − | 0.730363i | ||||||
0.683059 | + | 0.730363i | ||||||||
4.87400e7 | − | 8.44201e7i | 0.129424 | − | 0.224168i | |||||
1.28748e8 | + | 2.22998e8i | 0.337666 | + | 0.584855i | 0.983993 | − | 0.178205i | ||
−0.646327 | + | 0.763061i | ||||||||
−1.82225e8 | − | 3.15624e8i | −0.472057 | − | 0.817627i | |||||
8.68250e7 | − | 1.50385e8i | 0.222171 | − | 0.384812i | |||||
−6.61795e8 | −1.67279 | |||||||||
0 | 0 | |||||||||
2.38879e7 | 0.0589256 | |||||||||
−1.20251e7 | + | 2.08282e7i | −0.0293054 | + | 0.0507585i | |||||
−5.21512e6 | − | 9.03285e6i | −0.0125566 | − | 0.0217486i | |||||
−3.24957e7 | − | 5.62842e7i | −0.0773038 | − | 0.133894i | |||||
7.21241e7 | − | 1.24923e8i | 0.169528 | − | 0.293630i | |||||
7.33847e7 | 0.170439 | 0.0852195 | − | 0.996362i | ||||||
0.0852195 | + | 0.996362i | ||||||||
0 | 0 | |||||||||
7.35037e8 | 1.66699 | |||||||||
6.13627e7 | − | 1.06283e8i | 0.137526 | − | 0.238201i | |||||
7.15280e7 | + | 1.23890e8i | 0.158427 | + | 0.274403i | |||||
−2.53207e8 | − | 4.38567e8i | −0.554266 | − | 0.960017i | |||||
2.65975e8 | − | 4.60681e8i | 0.575428 | − | 0.996670i | |||||
2.46715e8 | 0.527560 | |||||||||
0 | 0 | |||||||||
−4.31701e8 | −0.901900 | |||||||||
−1.04973e8 | + | 1.81818e8i | −0.216784 | + | 0.375481i | |||||
2.80248e7 | + | 4.85404e7i | 0.0572118 | + | 0.0990937i | |||||
7.48167e8 | + | 1.29586e9i | 1.50990 | + | 2.61523i | |||||
−6.07753e7 | + | 1.05266e8i | −0.121256 | + | 0.210021i | |||||
−9.31624e7 | −0.183762 | −0.0918811 | − | 0.995770i | ||||||
−0.0918811 | + | 0.995770i | ||||||||
0 | 0 | |||||||||
−3.57319e8 | −0.688971 | |||||||||
2.11162e7 | − | 3.65743e7i | 0.0402577 | − | 0.0697284i | |||||
−3.05467e8 | − | 5.29085e8i | −0.575842 | − | 0.997387i | −0.995950 | − | 0.0899130i | ||
0.420108 | − | 0.907474i | ||||||||
−7.86724e7 | − | 1.36265e8i | −0.146650 | − | 0.254005i | |||||
1.06115e8 | − | 1.83797e8i | 0.195602 | − | 0.338793i | −0.751496 | − | 0.659738i | ||
0.947098 | + | 0.320945i | ||||||||
4.66694e8 | 0.850703 | |||||||||
0 | 0 | |||||||||
8.50637e6 | 0.0151649 | |||||||||
5.51972e8 | − | 9.56044e8i | 0.973218 | − | 1.68566i | 0.287522 | − | 0.957774i | ||
0.685695 | − | 0.727889i | ||||||||
2.09902e8 | + | 3.63561e8i | 0.366034 | + | 0.633990i | |||||
1.00807e7 | + | 1.74603e7i | 0.0173870 | + | 0.0301151i | |||||
−6.16038e7 | + | 1.06701e8i | −0.105095 | + | 0.182030i | |||||
−1.94655e8 | −0.328472 | |||||||||
0 | 0 | |||||||||
−2.85202e8 | −0.470916 | |||||||||
−1.70061e7 | + | 2.94555e7i | −0.0277778 | + | 0.0481125i | |||||
−8.12533e8 | − | 1.40735e9i | −1.31295 | − | 2.27410i | |||||
−2.42338e8 | − | 4.19742e8i | −0.387400 | − | 0.670997i | |||||
−5.25200e7 | + | 9.09674e7i | −0.0830631 | + | 0.143869i | |||||
2.71165e7 | 0.0424303 | |||||||||
0 | 0 | |||||||||
−7.37847e8 | −1.13023 | |||||||||
3.35294e8 | − | 5.80746e8i | 0.508192 | − | 0.880214i | −0.491763 | − | 0.870729i | ||
0.999955 | − | 0.00948492i | ||||||||
−2.22417e8 | − | 3.85237e8i | −0.333568 | − | 0.577757i | |||||
8.73699e7 | + | 1.51329e8i | 0.129660 | + | 0.224578i | |||||
−2.37677e8 | + | 4.11669e8i | −0.349040 | + | 0.604555i | |||||
1.00048e9 | 1.45396 | |||||||||
0 | 0 | |||||||||
−6.84122e8 | −0.973709 | −0.486854 | − | 0.873483i | ||||||
−0.486854 | + | 0.873483i | ||||||||
−2.67206e8 | + | 4.62814e8i | −0.376389 | + | 0.651925i | |||||
−1.97974e8 | − | 3.42901e8i | −0.276000 | − | 0.478046i | |||||
−3.13464e8 | − | 5.42935e8i | −0.432525 | − | 0.749155i | |||||
−4.08171e7 | + | 7.06973e7i | −0.0557445 | + | 0.0965522i | |||||
−7.98051e7 | −0.107880 | |||||||||
0 | 0 | |||||||||
−4.47863e8 | −0.593185 | |||||||||
2.96540e8 | − | 5.13622e8i | 0.388791 | − | 0.673406i | |||||
−2.23426e8 | − | 3.86986e8i | −0.289980 | − | 0.502260i | |||||
−2.18776e8 | − | 3.78932e8i | −0.281091 | − | 0.486865i | 0.690562 | − | 0.723273i | ||
−0.971654 | + | 0.236408i | ||||||||
−2.39674e6 | + | 4.15127e6i | −0.00304855 | + | 0.00528024i | |||||
9.39833e6 | 0.0118348 | 0.00591741 | − | 0.999982i | ||||||
0.00591741 | + | 0.999982i | ||||||||
0 | 0 | |||||||||
2.24032e8 | 0.276525 | |||||||||
1.19079e8 | − | 2.06251e8i | 0.145524 | − | 0.252055i | |||||
−7.07359e8 | − | 1.22518e9i | −0.855911 | − | 1.48248i | −0.875797 | − | 0.482679i | ||
0.0198865 | − | 0.999802i | ||||||||
−1.68902e8 | − | 2.92547e8i | −0.202359 | − | 0.350497i | |||||
−1.33822e9 | + | 2.31786e9i | −1.58755 | + | 2.74972i | |||||
−6.80097e8 | −0.798906 | |||||||||
0 | 0 | |||||||||
6.41802e8 | 0.739282 | |||||||||
1.53792e8 | − | 2.66375e8i | 0.175429 | − | 0.303852i | −0.764881 | − | 0.644172i | ||
0.940310 | + | 0.340320i | ||||||||
−8.77133e7 | − | 1.51924e8i | −0.0990847 | − | 0.171620i | |||||
3.53310e8 | + | 6.11951e8i | 0.395258 | + | 0.684607i | |||||
2.87453e8 | − | 4.97883e8i | 0.318483 | − | 0.551629i | |||||
9.00090e8 | 0.987672 | |||||||||
0 | 0 | |||||||||
−1.05932e9 | −1.14026 | |||||||||
3.43839e8 | − | 5.95546e8i | 0.366582 | − | 0.634938i | |||||
6.15636e8 | + | 1.06631e9i | 0.650119 | + | 1.12604i | 0.983094 | + | 0.183103i | ||
−0.332975 | + | 0.942936i | ||||||||
9.57153e7 | + | 1.65784e8i | 0.100118 | + | 0.173410i | |||||
−1.93046e7 | + | 3.34366e7i | −0.0200018 | + | 0.0346442i | |||||
−9.01264e8 | −0.925010 | |||||||||
0 | 0 | |||||||||
−1.94089e7 | −0.0195479 | |||||||||
−9.17958e8 | + | 1.58995e9i | −0.915887 | + | 1.58636i | −0.110291 | + | 0.993899i | ||
−0.805597 | + | 0.592464i | ||||||||
6.05919e8 | + | 1.04948e9i | 0.598913 | + | 1.03735i | |||||
−4.10204e8 | − | 7.10495e8i | −0.401690 | − | 0.695747i | |||||
1.15532e8 | − | 2.00107e8i | 0.112084 | − | 0.194135i | |||||
3.15737e7 | 0.0303480 | |||||||||
0 | 0 | |||||||||
−6.48934e8 | −0.612298 | −0.306149 | − | 0.951984i | ||||||
−0.306149 | + | 0.951984i | ||||||||
2.05807e8 | − | 3.56469e8i | 0.192406 | − | 0.333257i | |||||
−5.22897e7 | − | 9.05684e7i | −0.0484372 | − | 0.0838957i | |||||
6.69741e7 | + | 1.16003e8i | 0.0614731 | + | 0.106475i | |||||
3.40160e8 | − | 5.89175e8i | 0.309377 | − | 0.535857i | −0.668849 | − | 0.743398i | ||
0.978226 | + | 0.207541i | ||||||||
5.66231e7 | 0.0510310 | |||||||||
0 | 0 | |||||||||
−1.07762e9 | −0.953694 | |||||||||
3.18840e8 | − | 5.52247e8i | 0.279630 | − | 0.484334i | |||||
−7.70269e7 | − | 1.33414e8i | −0.0669470 | − | 0.115956i | |||||
−1.36853e8 | − | 2.37036e8i | −0.117877 | − | 0.204169i | 0.801049 | − | 0.598599i | ||
−0.918926 | + | 0.394430i | ||||||||
−5.77750e8 | + | 1.00069e9i | −0.493190 | + | 0.854230i | |||||
−9.74072e8 | −0.824086 | |||||||||
0 | 0 | |||||||||
6.14186e8 | 0.510418 | |||||||||
2.35765e8 | − | 4.08357e8i | 0.194197 | − | 0.336359i | |||||
−3.12343e7 | − | 5.40994e7i | −0.0255001 | − | 0.0441675i | |||||
1.69548e8 | + | 2.93666e8i | 0.137202 | + | 0.237640i | |||||
6.05171e8 | − | 1.04819e9i | 0.485413 | − | 0.840759i | −0.514447 | − | 0.857522i | ||
0.999859 | + | 0.0167629i | ||||||||
1.05099e9 | 0.835615 | |||||||||
0 | 0 | |||||||||
5.84806e8 | 0.456880 | |||||||||
2.98551e8 | − | 5.17106e8i | 0.231214 | − | 0.400474i | −0.726952 | − | 0.686688i | ||
0.958166 | + | 0.286215i | ||||||||
−2.29898e8 | − | 3.98195e8i | −0.176500 | − | 0.305706i | |||||
6.39213e7 | + | 1.10715e8i | 0.0486495 | + | 0.0842633i | |||||
−2.48824e8 | + | 4.30976e8i | −0.187740 | + | 0.325176i | |||||
2.49777e8 | 0.186836 | |||||||||
0 | 0 | |||||||||
1.74213e9 | 1.28085 | |||||||||
−1.44060e8 | + | 2.49519e8i | −0.105010 | + | 0.181883i | |||||
5.98836e8 | + | 1.03721e9i | 0.432789 | + | 0.749612i | 0.997112 | − | 0.0759416i | ||
−0.564323 | + | 0.825554i | ||||||||
−9.95686e7 | − | 1.72458e8i | −0.0713475 | − | 0.123577i | |||||
5.70216e8 | − | 9.87643e8i | 0.405128 | − | 0.701703i | |||||
−8.46978e8 | −0.596666 | |||||||||
0 | 0 | |||||||||
−2.72564e8 | −0.188785 | |||||||||
−1.63337e9 | + | 2.82909e9i | −1.12180 | + | 1.94302i | |||||
−1.86483e8 | − | 3.22997e8i | −0.127002 | − | 0.219975i | |||||
2.73131e7 | + | 4.73078e7i | 0.0184457 | + | 0.0319489i | |||||
−3.97821e8 | + | 6.89047e8i | −0.266423 | + | 0.461457i | |||||
−1.68680e9 | −1.12025 | −0.560125 | − | 0.828408i | ||||||
−0.560125 | + | 0.828408i | ||||||||
0 | 0 | |||||||||
−9.60356e8 | −0.627256 | −0.313628 | − | 0.949546i | ||||||
−0.313628 | + | 0.949546i | ||||||||
1.18640e8 | − | 2.05491e8i | 0.0768489 | − | 0.133106i | |||||
1.64497e8 | + | 2.84918e8i | 0.105674 | + | 0.183033i | |||||
4.97546e8 | + | 8.61774e8i | 0.316995 | + | 0.549052i | |||||
−1.48786e9 | + | 2.57705e9i | −0.940157 | + | 1.62840i | |||||
1.23002e9 | 0.770866 | |||||||||
0 | 0 | |||||||||
−4.61404e8 | −0.284465 | |||||||||
1.11678e9 | − | 1.93432e9i | 0.682915 | − | 1.18284i | |||||
1.64450e9 | + | 2.84835e9i | 0.997455 | + | 1.72764i | |||||
5.15829e7 | + | 8.93442e7i | 0.0310338 | + | 0.0537522i | 0.881125 | − | 0.472883i | ||
−0.850091 | + | 0.526635i | ||||||||
−4.03108e7 | + | 6.98203e7i | −0.0240563 | + | 0.0416667i | |||||
−2.33278e9 | −1.38091 | −0.690455 | − | 0.723375i | ||||||
−0.690455 | + | 0.723375i | ||||||||
0 | 0 | |||||||||
3.52021e7 | 0.0205048 | |||||||||
−1.24492e8 | + | 2.15626e8i | −0.0719347 | + | 0.124595i | |||||
−3.19768e8 | − | 5.53854e8i | −0.183295 | − | 0.317475i | |||||
2.43419e8 | + | 4.21614e8i | 0.138419 | + | 0.239748i | |||||
7.80794e8 | − | 1.35237e9i | 0.440464 | − | 0.762906i | −0.557260 | − | 0.830338i | ||
0.997724 | + | 0.0674320i | ||||||||
−1.74897e9 | −0.978810 | |||||||||
0 | 0 | |||||||||
1.89779e9 | 1.04537 | |||||||||
−8.12404e8 | + | 1.40712e9i | −0.443975 | + | 0.768988i | −0.997980 | − | 0.0635255i | ||
0.554005 | + | 0.832513i | ||||||||
2.07099e8 | + | 3.58706e8i | 0.112289 | + | 0.194490i | |||||
2.49723e9 | + | 4.32533e9i | 1.34338 | + | 2.32680i | |||||
−1.26415e9 | + | 2.18957e9i | −0.674723 | + | 1.16865i | |||||
1.70915e9 | 0.905113 | |||||||||
0 | 0 | |||||||||
−8.18478e8 | −0.426722 | −0.213361 | − | 0.976973i | ||||||
−0.213361 | + | 0.976973i | ||||||||
−4.16332e8 | + | 7.21108e8i | −0.215375 | + | 0.373041i | |||||
1.92464e8 | + | 3.33357e8i | 0.0987942 | + | 0.171117i | |||||
−4.69271e8 | − | 8.12801e8i | −0.239023 | − | 0.414000i | |||||
7.28495e8 | − | 1.26179e9i | 0.368199 | − | 0.637739i | |||||
3.80845e8 | 0.191008 | |||||||||
0 | 0 | |||||||||
−1.89168e8 | −0.0934264 | |||||||||
7.66628e8 | − | 1.32784e9i | 0.375732 | − | 0.650786i | −0.614705 | − | 0.788757i | ||
0.990436 | + | 0.137971i | ||||||||
4.17155e8 | + | 7.22534e8i | 0.202894 | + | 0.351422i | |||||
−2.05117e8 | − | 3.55272e8i | −0.0990048 | − | 0.171481i | |||||
7.02909e8 | − | 1.21747e9i | 0.336703 | − | 0.583187i | |||||
3.43507e9 | 1.63299 | 0.816494 | − | 0.577354i | ||||||
0.816494 | + | 0.577354i | ||||||||
0 | 0 | |||||||||
1.73200e9 | 0.810990 | 0.405495 | − | 0.914097i | ||||||
0.405495 | + | 0.914097i | ||||||||
−5.68115e6 | + | 9.84004e6i | −0.00264012 | + | 0.00457282i | |||||
7.12670e7 | + | 1.23438e8i | 0.0328703 | + | 0.0569330i | |||||
−9.40236e8 | − | 1.62854e9i | −0.430414 | − | 0.745498i | |||||
2.40744e8 | − | 4.16980e8i | 0.109382 | − | 0.189455i | −0.806138 | − | 0.591728i | ||
0.915520 | + | 0.402272i | ||||||||
5.31039e8 | 0.239478 | |||||||||
0 | 0 | |||||||||
−1.69687e9 | −0.753888 | |||||||||
−7.87545e8 | + | 1.36407e9i | −0.347298 | + | 0.601538i | |||||
−4.00360e8 | − | 6.93445e8i | −0.175248 | − | 0.303539i | |||||
−3.17878e9 | − | 5.50580e9i | −1.38117 | − | 2.39225i | |||||
−1.43545e7 | + | 2.48627e7i | −0.00619104 | + | 0.0107232i | |||||
−1.95373e9 | −0.836445 | |||||||||
0 | 0 | |||||||||
−1.41684e9 | −0.597732 | |||||||||
−1.49745e8 | + | 2.59365e8i | −0.0627125 | + | 0.108621i | |||||
8.29697e8 | + | 1.43708e9i | 0.344941 | + | 0.597456i | 0.985343 | − | 0.170584i | ||
−0.640402 | + | 0.768040i | ||||||||
−2.07913e8 | − | 3.60116e8i | −0.0858099 | − | 0.148627i | |||||
1.36412e9 | − | 2.36273e9i | 0.558914 | − | 0.968068i | |||||
7.90134e7 | 0.0321393 | |||||||||
0 | 0 | |||||||||
2.13355e9 | 0.855349 | |||||||||
−5.65666e8 | + | 9.79763e8i | −0.225146 | + | 0.389964i | |||||
−5.73956e7 | − | 9.94121e7i | −0.0226805 | − | 0.0392837i | |||||
−8.60083e8 | − | 1.48971e9i | −0.337434 | − | 0.584453i | 0.646515 | − | 0.762901i | ||
−0.983949 | + | 0.178448i | ||||||||
8.15025e8 | − | 1.41166e9i | 0.317469 | − | 0.549872i | |||||
1.63578e9 | 0.632622 | |||||||||
0 | 0 | |||||||||
−6.67098e8 | −0.254334 | −0.127167 | − | 0.991881i | ||||||
−0.127167 | + | 0.991881i | ||||||||
−4.57592e7 | + | 7.92572e7i | −0.0173221 | + | 0.0300027i | |||||
−2.89079e7 | − | 5.00699e7i | −0.0108655 | − | 0.0188197i | |||||
6.23005e8 | + | 1.07908e9i | 0.232513 | + | 0.402724i | |||||
1.24512e9 | − | 2.15661e9i | 0.461415 | − | 0.799195i | |||||
−4.60063e7 | −0.0169290 | |||||||||
0 | 0 | |||||||||
1.50131e9 | 0.544714 | |||||||||
2.72989e8 | − | 4.72830e8i | 0.0983541 | − | 0.170354i | −0.812649 | − | 0.582753i | ||
0.911004 | + | 0.412399i | ||||||||
−9.72336e8 | − | 1.68414e9i | −0.347874 | − | 0.602535i | |||||
−8.02161e8 | − | 1.38938e9i | −0.284990 | − | 0.493617i | |||||
−5.29753e8 | + | 9.17559e8i | −0.186900 | + | 0.323721i | |||||
4.13284e9 | 1.44797 | 0.723987 | − | 0.689813i | ||||||
0.723987 | + | 0.689813i | ||||||||
0 | 0 | |||||||||
3.65460e9 | 1.26276 | |||||||||
−1.35871e9 | + | 2.35335e9i | −0.466229 | + | 0.807533i | |||||
−9.01819e8 | − | 1.56200e9i | −0.307320 | − | 0.532295i | |||||
−1.23946e8 | − | 2.14681e8i | −0.0419478 | − | 0.0726558i | |||||
9.56065e8 | − | 1.65595e9i | 0.321348 | − | 0.556590i | −0.659419 | − | 0.751776i | ||
0.980766 | + | 0.195185i | ||||||||
2.11588e9 | 0.706310 | |||||||||
0 | 0 | |||||||||
1.34218e8 | 0.0441942 | |||||||||
1.34671e8 | − | 2.33257e8i | 0.0440417 | − | 0.0762824i | |||||
−1.33067e9 | − | 2.30479e9i | −0.432214 | − | 0.748617i | |||||
3.11000e9 | + | 5.38667e9i | 1.00331 | + | 1.73778i | |||||
7.55768e8 | − | 1.30903e9i | 0.242167 | − | 0.419445i | |||||
3.28002e9 | 1.04390 | |||||||||
0 | 0 | |||||||||
1.50813e9 | 0.473536 | |||||||||
−1.36948e9 | + | 2.37201e9i | −0.427115 | + | 0.739785i | |||||
−3.10587e7 | − | 5.37952e7i | −0.00962169 | − | 0.0166652i | 0.861174 | − | 0.508309i | ||
−0.870796 | + | 0.491644i | ||||||||
−8.08898e6 | − | 1.40105e7i | −0.00248913 | − | 0.00431130i | |||||
−3.41037e8 | + | 5.90694e8i | −0.104243 | + | 0.180554i | −0.913429 | − | 0.406999i | ||
0.809186 | + | 0.587553i | ||||||||
1.45585e9 | 0.442035 | |||||||||
0 | 0 | |||||||||
−7.60983e8 | −0.227995 | |||||||||
1.17049e8 | − | 2.02734e8i | 0.0348361 | − | 0.0603379i | |||||
4.01891e8 | + | 6.96096e8i | 0.118820 | + | 0.205802i | |||||
6.10286e8 | + | 1.05705e9i | 0.179241 | + | 0.310455i | |||||
3.65385e9 | − | 6.32866e9i | 1.06607 | − | 1.84649i | |||||
1.14009e9 | 0.330452 | |||||||||
0 | 0 | |||||||||
6.02813e8 | 0.172440 | |||||||||
1.14766e9 | − | 1.98781e9i | 0.326152 | − | 0.564912i | |||||
1.69422e9 | + | 2.93447e9i | 0.478334 | + | 0.828499i | |||||
−5.44943e8 | − | 9.43869e8i | −0.152853 | − | 0.264749i | |||||
−1.08304e9 | + | 1.87588e9i | −0.301811 | + | 0.522752i | |||||
−2.15084e9 | −0.595484 | |||||||||
0 | 0 | |||||||||
5.92065e8 | 0.161805 | |||||||||
−1.10271e8 | + | 1.90994e8i | −0.0299412 | + | 0.0518597i | −0.880608 | − | 0.473846i | ||
0.850667 | + | 0.525706i | ||||||||
−1.81153e9 | − | 3.13767e9i | −0.488708 | − | 0.846466i | |||||
9.70153e8 | + | 1.68036e9i | 0.260041 | + | 0.450403i | |||||
−3.41475e8 | + | 5.91453e8i | −0.0909417 | + | 0.157516i | |||||
1.82848e9 | 0.483840 | |||||||||
0 | 0 | |||||||||
5.39461e9 | 1.40930 | 0.704652 | − | 0.709553i | ||||||
0.704652 | + | 0.709553i | ||||||||
1.35162e9 | − | 2.34108e9i | 0.350852 | − | 0.607693i | |||||
1.16046e9 | + | 2.00997e9i | 0.299313 | + | 0.518425i | |||||
4.15075e9 | + | 7.18932e9i | 1.06379 | + | 1.84255i | |||||
1.89797e7 | − | 3.28738e7i | 0.00483347 | − | 0.00837181i | |||||
−6.46078e8 | −0.163493 | |||||||||
0 | 0 | |||||||||
−1.31768e8 | −0.0329249 | |||||||||
1.52088e9 | − | 2.63425e9i | 0.377634 | − | 0.654081i | |||||
6.47423e7 | + | 1.12137e8i | 0.0159745 | + | 0.0276686i | |||||
6.11934e8 | + | 1.05990e9i | 0.150041 | + | 0.259879i | 0.931242 | − | 0.364400i | ||
−0.781201 | + | 0.624280i | ||||||||
3.27525e7 | − | 5.67290e7i | 0.00798040 | − | 0.0138225i | |||||
−9.95620e9 | −2.41075 | |||||||||
0 | 0 | |||||||||
−4.08995e9 | −0.978021 | |||||||||
−2.03245e9 | + | 3.52031e9i | −0.482996 | + | 0.836574i | |||||
1.83547e9 | + | 3.17913e9i | 0.433479 | + | 0.750807i | 0.997170 | − | 0.0751784i | ||
−0.563691 | + | 0.825985i | ||||||||
3.89920e8 | + | 6.75361e8i | 0.0915163 | + | 0.158511i | |||||
−3.44621e9 | + | 5.96901e9i | −0.803845 | + | 1.39230i | |||||
−2.05997e9 | −0.477532 | |||||||||
0 | 0 | |||||||||
2.91561e9 | 0.667590 | |||||||||
−2.50185e9 | + | 4.33333e9i | −0.569335 | + | 0.986118i | 0.427296 | + | 0.904112i | ||
−0.996632 | + | 0.0820062i | ||||||||
6.94600e8 | + | 1.20308e9i | 0.157099 | + | 0.272103i | |||||
−7.55829e8 | − | 1.30913e9i | −0.169902 | − | 0.294278i | 0.768484 | − | 0.639870i | ||
−0.938385 | + | 0.345591i | ||||||||
2.64718e9 | − | 4.58505e9i | 0.591422 | − | 1.02437i | |||||
−4.52075e8 | −0.100385 | |||||||||
0 | 0 | |||||||||
−6.67273e9 | −1.46375 | |||||||||
−9.55515e7 | + | 1.65500e8i | −0.0208333 | + | 0.0360844i | |||||
2.19560e9 | + | 3.80289e9i | 0.475814 | + | 0.824135i | 0.999616 | − | 0.0277054i | ||
−0.523802 | + | 0.851840i | ||||||||
−9.62012e7 | − | 1.66625e8i | −0.0207221 | − | 0.0358917i | |||||
1.81848e9 | − | 3.14970e9i | 0.389344 | − | 0.674364i | |||||
8.34419e7 | 0.0177577 | |||||||||
0 | 0 | |||||||||
5.19931e8 | 0.109324 | |||||||||
−7.06282e9 | + | 1.22332e10i | −1.47618 | + | 2.55681i | |||||
5.76993e8 | + | 9.99381e8i | 0.119874 | + | 0.207628i | |||||
−1.94991e9 | − | 3.37734e9i | −0.402688 | − | 0.697476i | |||||
−2.93539e8 | + | 5.08424e8i | −0.0602593 | + | 0.104372i | |||||
−6.47628e9 | −1.32158 | −0.660789 | − | 0.750572i | ||||||
−0.660789 | + | 0.750572i | ||||||||
0 | 0 | |||||||||
1.53699e8 | 0.0309932 | |||||||||
−2.94015e9 | + | 5.09248e9i | −0.589369 | + | 1.02082i | |||||
7.95708e8 | + | 1.37821e9i | 0.158561 | + | 0.274636i | |||||
4.90902e8 | + | 8.50266e8i | 0.0972452 | + | 0.168434i | |||||
−2.64092e8 | + | 4.57420e8i | −0.0520072 | + | 0.0900791i | −0.890857 | − | 0.454284i | ||
0.838850 | + | 0.544363i | ||||||||
−1.14445e9 | −0.224049 | |||||||||
0 | 0 | |||||||||
4.05131e9 | 0.783851 | |||||||||
−1.77354e9 | + | 3.07186e9i | −0.341138 | + | 0.590869i | |||||
2.12780e9 | + | 3.68545e9i | 0.406889 | + | 0.704752i | |||||
4.51711e9 | + | 7.82387e9i | 0.858751 | + | 1.48740i | 0.873121 | + | 0.487503i | ||
−0.0143708 | + | 0.999897i | ||||||||
−9.86861e8 | + | 1.70929e9i | −0.186520 | + | 0.323063i | |||||
5.03992e9 | 0.947028 | 0.473514 | − | 0.880786i | ||||||
0.473514 | + | 0.880786i | ||||||||
0 | 0 | |||||||||
1.55181e9 | 0.288223 | |||||||||
1.72680e9 | − | 2.99091e9i | 0.318870 | − | 0.552299i | |||||
−7.83411e9 | − | 1.35691e10i | −1.43829 | − | 2.49119i | |||||
−8.39781e8 | − | 1.45454e9i | −0.153289 | − | 0.265505i | |||||
−2.98281e9 | + | 5.16638e9i | −0.541334 | + | 0.937617i | 0.457494 | + | 0.889213i | ||
−0.998828 | + | 0.0484046i | ||||||||
−4.48397e8 | −0.0809097 | |||||||||
0 | 0 | |||||||||
−1.19707e10 | −2.13533 | |||||||||
2.56833e9 | − | 4.44847e9i | 0.455518 | − | 0.788981i | |||||
−4.86202e8 | − | 8.42127e8i | −0.0857407 | − | 0.148507i | |||||
−2.71175e9 | − | 4.69689e9i | −0.475487 | − | 0.823567i | 0.524119 | − | 0.851645i | ||
−0.999606 | + | 0.0280780i | ||||||||
3.72649e8 | − | 6.45448e8i | 0.0649697 | − | 0.112531i | |||||
6.72088e8 | 0.116510 | |||||||||
0 | 0 | |||||||||
2.18073e9 | 0.373770 | 0.186885 | − | 0.982382i | ||||||
0.186885 | + | 0.982382i | ||||||||
1.42927e9 | − | 2.47558e9i | 0.243588 | − | 0.421907i | |||||
2.67868e9 | + | 4.63960e9i | 0.453945 | + | 0.786255i | 0.998627 | − | 0.0523875i | ||
−0.544682 | + | 0.838642i | ||||||||
1.68929e8 | + | 2.92594e8i | 0.0284665 | + | 0.0493054i | |||||
4.59952e8 | − | 7.96661e8i | 0.0770712 | − | 0.133491i | |||||
4.88747e9 | 0.814363 | |||||||||
0 | 0 | |||||||||
1.25876e9 | 0.207394 | |||||||||
−1.56344e9 | + | 2.70796e9i | −0.256155 | + | 0.443673i | |||||
8.48924e8 | + | 1.47038e9i | 0.138312 | + | 0.239563i | |||||
−1.34265e9 | − | 2.32553e9i | −0.217533 | − | 0.376778i | |||||
−1.86677e9 | + | 3.23335e9i | −0.300769 | + | 0.520947i | |||||
−4.99579e9 | −0.800436 | |||||||||
0 | 0 | |||||||||
1.14559e10 | 1.81521 | 0.907607 | − | 0.419822i | ||||||
0.907607 | + | 0.419822i | ||||||||
−3.40255e7 | + | 5.89338e7i | −0.00536160 | + | 0.00928656i | |||||
4.00410e8 | + | 6.93531e8i | 0.0627469 | + | 0.108681i | |||||
4.41578e9 | + | 7.64836e9i | 0.688169 | + | 1.19194i | |||||
−9.10228e8 | + | 1.57656e9i | −0.141072 | + | 0.244345i | |||||
−3.35843e9 | −0.517651 | |||||||||
0 | 0 | |||||||||
−1.61291e8 | −0.0245889 | |||||||||
−2.07566e9 | + | 3.59515e9i | −0.314705 | + | 0.545085i | |||||
−4.92831e8 | − | 8.53608e8i | −0.0743135 | − | 0.128715i | |||||
−5.06437e9 | − | 8.77175e9i | −0.759491 | − | 1.31548i | −0.943110 | − | 0.332480i | ||
0.183619 | − | 0.982997i | ||||||||
7.78620e8 | − | 1.34861e9i | 0.116132 | − | 0.201147i | |||||
−4.99152e9 | −0.740448 | −0.370224 | − | 0.928943i | ||||||
−0.370224 | + | 0.928943i | ||||||||
0 | 0 | |||||||||
−1.11003e10 | −1.62884 | |||||||||
1.14081e9 | − | 1.97594e9i | 0.166494 | − | 0.288376i | |||||
2.77118e9 | + | 4.79983e9i | 0.402254 | + | 0.696724i | 0.993998 | − | 0.109402i | ||
−0.591744 | + | 0.806126i | ||||||||
−1.36049e8 | − | 2.35644e8i | −0.0196419 | − | 0.0340207i | |||||
5.68324e9 | − | 9.84366e9i | 0.816093 | − | 1.41351i | |||||
1.30005e10 | 1.85680 | |||||||||
0 | 0 | |||||||||
3.87741e9 | 0.547867 | |||||||||
3.71295e9 | − | 6.43101e9i | 0.521822 | − | 0.903822i | −0.477856 | − | 0.878438i | ||
0.999678 | − | 0.0253840i | ||||||||
−4.20160e8 | − | 7.27739e8i | −0.0587345 | − | 0.101731i | |||||
−5.34569e9 | − | 9.25901e9i | −0.743292 | − | 1.28742i | |||||
−1.08466e8 | + | 1.87869e8i | −0.0150014 | + | 0.0259831i | |||||
−1.64308e9 | −0.226037 | |||||||||
0 | 0 | |||||||||
8.68127e8 | 0.118164 | 0.0590819 | − | 0.998253i | ||||||
0.0590819 | + | 0.998253i | ||||||||
2.95139e9 | − | 5.11196e9i | 0.399597 | − | 0.692123i | |||||
−1.68460e9 | − | 2.91781e9i | −0.226878 | − | 0.392964i | 0.730003 | − | 0.683443i | ||
−0.956881 | + | 0.290480i | ||||||||
2.68235e9 | + | 4.64597e9i | 0.359346 | + | 0.622405i | |||||
−3.20252e9 | + | 5.54693e9i | −0.426771 | + | 0.739188i | |||||
3.55867e9 | 0.471736 | |||||||||
0 | 0 | |||||||||
−1.39792e9 | −0.183367 | |||||||||
6.48228e7 | − | 1.12276e8i | 0.00845839 | − | 0.0146504i | |||||
−1.90142e9 | − | 3.29335e9i | −0.246808 | − | 0.427485i | |||||
−4.26650e9 | − | 7.38979e9i | −0.550909 | − | 0.954203i | |||||
−4.00193e9 | + | 6.93154e9i | −0.514052 | + | 0.890365i | |||||
2.31391e10 | 2.95677 | |||||||||
0 | 0 | |||||||||
−3.43406e9 | −0.434265 | −0.217133 | − | 0.976142i | ||||||
−0.217133 | + | 0.976142i | ||||||||
2.73649e9 | − | 4.73974e9i | 0.344258 | − | 0.596272i | |||||
−1.40512e9 | − | 2.43374e9i | −0.175853 | − | 0.304587i | |||||
−2.13765e9 | − | 3.70251e9i | −0.266147 | − | 0.460981i | |||||
−6.44496e9 | + | 1.11630e10i | −0.798289 | + | 1.38268i | 0.122441 | + | 0.992476i | ||
−0.920730 | + | 0.390201i | ||||||||
3.16758e9 | 0.390323 | |||||||||
0 | 0 | |||||||||
5.01542e9 | 0.611682 | |||||||||
−6.42676e8 | + | 1.11315e9i | −0.0779789 | + | 0.135063i | |||||
−3.26537e8 | − | 5.65578e8i | −0.0394173 | − | 0.0682727i | |||||
3.26006e9 | + | 5.64659e9i | 0.391519 | + | 0.678131i | 0.992650 | − | 0.121019i | ||
−0.601131 | + | 0.799151i | ||||||||
3.19220e8 | − | 5.52906e8i | 0.0381412 | − | 0.0660625i | |||||
−1.98520e10 | −2.35986 | |||||||||
0 | 0 | |||||||||
−2.81580e9 | −0.331324 | |||||||||
1.79145e9 | − | 3.10288e9i | 0.209723 | − | 0.363250i | |||||
1.10607e10 | + | 1.91577e10i | 1.28829 | + | 2.23139i | |||||
2.37232e9 | + | 4.10898e9i | 0.274917 | + | 0.476170i | |||||
7.56322e9 | − | 1.30999e10i | 0.872035 | − | 1.51041i | 0.0121462 | − | 0.999926i | ||
0.859888 | − | 0.510482i | ||||||||
3.57482e9 | 0.410094 | |||||||||
0 | 0 | |||||||||
3.50042e9 | 0.397523 | |||||||||
4.75451e8 | − | 8.23505e8i | 0.0537228 | − | 0.0930507i | |||||
−1.91739e7 | − | 3.32101e7i | −0.00215565 | − | 0.00373369i | |||||
−5.51917e8 | − | 9.55948e8i | −0.0617389 | − | 0.106935i | |||||
−3.75933e7 | + | 6.51135e7i | −0.00418424 | + | 0.00724732i | |||||
6.34659e9 | 0.702862 | |||||||||
0 | 0 | |||||||||
−8.52704e9 | −0.934943 | −0.467472 | − | 0.884008i | ||||||
−0.467472 | + | 0.884008i | ||||||||
−8.96128e8 | + | 1.55214e9i | −0.0977665 | + | 0.169337i | |||||
−1.64001e9 | − | 2.84059e9i | −0.178034 | − | 0.308365i | |||||
9.52631e8 | + | 1.65001e9i | 0.102901 | + | 0.178230i | |||||
2.86347e9 | − | 4.95968e9i | 0.307773 | − | 0.533079i | |||||
1.13177e10 | 1.21044 | |||||||||
0 | 0 | |||||||||
2.70243e9 | 0.286180 | |||||||||
4.92290e9 | − | 8.52671e9i | 0.518751 | − | 0.898503i | −0.481012 | − | 0.876714i | ||
0.999763 | − | 0.0217886i | ||||||||
−1.07057e10 | − | 1.85429e10i | −1.12257 | − | 1.94434i | |||||
−4.84464e7 | − | 8.39117e7i | −0.00505496 | − | 0.00875546i | |||||
2.72039e9 | − | 4.71185e9i | 0.282456 | − | 0.489228i | |||||
5.24939e8 | 0.0542370 | |||||||||
0 | 0 | |||||||||
−3.88805e10 | −3.97796 | |||||||||
−2.56721e9 | + | 4.44653e9i | −0.261376 | + | 0.452716i | |||||
−5.05388e8 | − | 8.75359e8i | −0.0512045 | − | 0.0886888i | |||||
1.23033e9 | + | 2.13100e9i | 0.124047 | + | 0.214856i | |||||
−2.01398e9 | + | 3.48831e9i | −0.202071 | + | 0.349997i | −0.949195 | − | 0.314687i | ||
0.747125 | + | 0.664684i | ||||||||
1.40341e9 | 0.140127 | |||||||||
0 | 0 | |||||||||
−5.65296e9 | −0.558979 | |||||||||
−1.33335e8 | + | 2.30943e8i | −0.0131208 | + | 0.0227259i | |||||
2.29962e9 | + | 3.98306e9i | 0.225202 | + | 0.390061i | |||||
−1.98029e8 | − | 3.42996e8i | −0.0192995 | − | 0.0334277i | |||||
−3.60036e9 | + | 6.23600e9i | −0.349195 | + | 0.604823i | |||||
−5.95463e9 | −0.574757 | −0.287379 | − | 0.957817i | ||||||
−0.287379 | + | 0.957817i | ||||||||
0 | 0 | |||||||||
3.87420e8 | 0.0370370 | |||||||||
4.23729e9 | − | 7.33920e9i | 0.403142 | − | 0.698263i | |||||
9.11558e9 | + | 1.57887e10i | 0.863125 | + | 1.49498i | |||||
2.75071e9 | + | 4.76437e9i | 0.259212 | + | 0.448969i | |||||
−8.27724e9 | + | 1.43366e10i | −0.776286 | + | 1.34457i | 0.157783 | + | 0.987474i | ||
−0.934069 | + | 0.357092i | ||||||||
−9.85018e9 | −0.919407 | |||||||||
0 | 0 | |||||||||
−1.53145e9 | −0.141589 | |||||||||
7.73564e9 | − | 1.33985e10i | 0.711803 | − | 1.23288i | |||||
−1.54437e8 | − | 2.67493e8i | −0.0141434 | − | 0.0244971i | |||||
−5.72231e9 | − | 9.91134e9i | −0.521574 | − | 0.903393i | −0.999685 | − | 0.0250936i | ||
0.478111 | − | 0.878299i | ||||||||
3.60506e9 | − | 6.24414e9i | 0.327040 | − | 0.566450i | |||||
−4.20528e9 | −0.379692 | |||||||||
0 | 0 | |||||||||
−4.25895e8 | −0.0380927 | −0.0190464 | − | 0.999819i | ||||||
−0.0190464 | + | 0.999819i | ||||||||
7.76356e7 | − | 1.34469e8i | 0.00691123 | − | 0.0119706i | |||||
−1.48759e10 | − | 2.57658e10i | −1.31806 | − | 2.28295i | |||||
−7.34367e9 | − | 1.27196e10i | −0.647630 | − | 1.12173i | |||||
−2.53347e9 | + | 4.38809e9i | −0.222379 | + | 0.385171i | |||||
−9.69470e9 | −0.846991 | |||||||||
0 | 0 | |||||||||
6.56327e9 | 0.568075 | |||||||||
1.47518e8 | − | 2.55508e8i | 0.0127088 | − | 0.0220123i | −0.859601 | − | 0.510966i | ||
0.872310 | + | 0.488953i | ||||||||
9.24254e8 | + | 1.60086e9i | 0.0792554 | + | 0.137274i | |||||
−1.78792e9 | − | 3.09676e9i | −0.152604 | − | 0.264317i | |||||
−1.26295e8 | + | 2.18749e8i | −0.0107296 | + | 0.0185843i | |||||
−2.53624e10 | −2.14475 | |||||||||
0 | 0 | |||||||||
1.87377e10 | 1.56994 | 0.784968 | − | 0.619537i | ||||||
0.784968 | + | 0.619537i | ||||||||
2.59573e9 | − | 4.49594e9i | 0.216480 | − | 0.374955i | |||||
−4.58564e9 | − | 7.94257e9i | −0.380675 | − | 0.659348i | |||||
1.64646e9 | + | 2.85175e9i | 0.136051 | + | 0.235648i | |||||
−2.03748e9 | + | 3.52902e9i | −0.167590 | + | 0.290274i | −0.937572 | − | 0.347792i | ||
0.769982 | + | 0.638065i | ||||||||
8.36635e8 | 0.0685005 | |||||||||
0 | 0 | |||||||||
−1.07159e9 | −0.0869361 | |||||||||
−3.57055e9 | + | 6.18437e9i | −0.288350 | + | 0.499437i | |||||
2.72128e9 | + | 4.71340e9i | 0.218763 | + | 0.378908i | |||||
−8.90020e9 | − | 1.54156e10i | −0.712223 | − | 1.23361i | |||||
−2.26492e8 | + | 3.92296e8i | −0.0180422 | + | 0.0312500i | |||||
1.19604e10 | 0.948425 | 0.474213 | − | 0.880410i | ||||||
0.474213 | + | 0.880410i | ||||||||
0 | 0 | |||||||||
8.98201e9 | 0.705803 | |||||||||
4.31047e9 | − | 7.46595e9i | 0.337182 | − | 0.584016i | |||||
−2.33651e8 | − | 4.04696e8i | −0.0181945 | − | 0.0315138i | 0.856785 | − | 0.515674i | ||
−0.874979 | + | 0.484160i | ||||||||
2.55072e9 | + | 4.41797e9i | 0.197728 | + | 0.342476i | |||||
8.01824e8 | − | 1.38880e9i | 0.0618762 | − | 0.107173i | |||||
1.23243e9 | 0.0946774 | |||||||||
0 | 0 | |||||||||
2.18964e9 | 0.166703 | |||||||||
3.62366e8 | − | 6.27636e8i | 0.0274642 | − | 0.0475693i | |||||
−4.62200e9 | − | 8.00554e9i | −0.348738 | − | 0.604032i | |||||
2.06940e10 | + | 3.58430e10i | 1.55441 | + | 2.69232i | |||||
3.89629e9 | − | 6.74857e9i | 0.291358 | − | 0.504647i | |||||
5.46006e7 | 0.00406473 | |||||||||
0 | 0 | |||||||||
2.74182e10 | 2.02300 | |||||||||
−2.45674e9 | + | 4.25521e9i | −0.180460 | + | 0.312566i | |||||
4.03993e9 | + | 6.99737e9i | 0.295436 | + | 0.511709i | 0.975086 | − | 0.221827i | ||
−0.679651 | + | 0.733536i | ||||||||
1.88612e9 | + | 3.26686e9i | 0.137318 | + | 0.237842i | |||||
1.28416e9 | − | 2.22423e9i | 0.0930784 | − | 0.161217i | |||||
4.99749e8 | 0.0360626 | |||||||||
0 | 0 | |||||||||
−2.71277e9 | −0.194032 | |||||||||
1.81184e10 | − | 3.13820e10i | 1.29022 | − | 2.23472i | |||||
4.84137e9 | + | 8.38549e9i | 0.343239 | + | 0.594507i | |||||
1.23317e10 | + | 2.13592e10i | 0.870442 | + | 1.50765i | |||||
−4.20394e9 | + | 7.28144e9i | −0.295434 | + | 0.511707i | |||||
−1.48799e10 | −1.04111 | −0.520555 | − | 0.853828i | ||||||
−0.520555 | + | 0.853828i | ||||||||
0 | 0 | |||||||||
−9.40591e9 | −0.652360 | |||||||||
−2.33923e9 | + | 4.05166e9i | −0.161531 | + | 0.279781i | |||||
3.87336e9 | + | 6.70886e9i | 0.266302 | + | 0.461249i | |||||
2.38841e9 | + | 4.13685e9i | 0.163493 | + | 0.283178i | |||||
−8.19059e9 | + | 1.41865e10i | −0.558227 | + | 0.966878i | |||||
3.67837e9 | 0.249608 | |||||||||
0 | 0 | |||||||||
−1.02274e9 | −0.0688007 | |||||||||
3.62954e9 | − | 6.28655e9i | 0.243105 | − | 0.421071i | |||||
−1.99059e9 | − | 3.44781e9i | −0.132752 | − | 0.229934i | |||||
−3.57566e9 | − | 6.19323e9i | −0.237431 | − | 0.411242i | 0.722546 | − | 0.691323i | ||
−0.959976 | + | 0.280081i | ||||||||
−9.99109e8 | + | 1.73051e9i | −0.0660565 | + | 0.114413i | |||||
2.13058e9 | 0.140257 | 0.0701286 | − | 0.997538i | ||||||
0.0701286 | + | 0.997538i | ||||||||
0 | 0 | |||||||||
1.22279e10 | 0.798056 | |||||||||
−6.96850e9 | + | 1.20698e10i | −0.452850 | + | 0.784358i | |||||
−1.42374e10 | − | 2.46598e10i | −0.921250 | − | 1.59565i | |||||
−1.15248e9 | − | 1.99615e9i | −0.0742536 | − | 0.128611i | |||||
−5.98492e9 | + | 1.03662e10i | −0.383955 | + | 0.665030i | |||||
−9.58137e9 | −0.612056 | |||||||||
0 | 0 | |||||||||
1.59310e9 | 0.100901 | |||||||||
−1.02026e9 | + | 1.76714e9i | −0.0643442 | + | 0.111447i | −0.896403 | − | 0.443240i | ||
0.832059 | + | 0.554688i | ||||||||
4.56173e9 | + | 7.90114e9i | 0.286469 | + | 0.496179i | |||||
−1.49569e10 | − | 2.59062e10i | −0.935283 | − | 1.61996i | −0.774128 | − | 0.633029i | ||
−0.161155 | − | 0.986929i | ||||||||
3.38791e9 | − | 5.86803e9i | 0.210953 | − | 0.365382i | |||||
−2.80176e10 | −1.73717 | |||||||||
0 | 0 | |||||||||
1.05103e10 | 0.646170 | 0.323085 | − | 0.946370i | ||||||
0.323085 | + | 0.946370i | ||||||||
1.09026e9 | − | 1.88838e9i | 0.0667456 | − | 0.115607i | |||||
−9.55730e9 | − | 1.65537e10i | −0.582632 | − | 1.00915i | −0.995166 | − | 0.0982059i | ||
0.412534 | − | 0.910942i | ||||||||
−1.30670e10 | − | 2.26327e10i | −0.793235 | − | 1.37392i | |||||
2.22358e8 | − | 3.85135e8i | 0.0134415 | − | 0.0232814i | |||||
2.98372e9 | 0.179608 | |||||||||
0 | 0 | |||||||||
−4.37010e8 | −0.0260862 | |||||||||
−1.39635e10 | + | 2.41856e10i | −0.830028 | + | 1.43765i | |||||
−3.18257e9 | − | 5.51237e9i | −0.188389 | − | 0.326300i | |||||
1.10540e8 | + | 1.91460e8i | 0.00651597 | + | 0.0112860i | |||||
6.74720e9 | − | 1.16865e10i | 0.396068 | − | 0.686010i | |||||
2.31635e9 | 0.135406 | 0.0677028 | − | 0.997706i | ||||||
0.0677028 | + | 0.997706i | ||||||||
0 | 0 | |||||||||
−1.72422e10 | −0.999554 | |||||||||
3.84142e9 | − | 6.65354e9i | 0.221768 | − | 0.384114i | |||||
−6.85953e9 | − | 1.18811e10i | −0.394365 | − | 0.683059i | |||||
9.49121e8 | + | 1.64393e9i | 0.0543404 | + | 0.0941203i | |||||
−1.56983e10 | + | 2.71903e10i | −0.895066 | + | 1.55030i | |||||
−2.63196e9 | −0.149445 | |||||||||
0 | 0 | |||||||||
−7.96073e9 | −0.448299 | |||||||||
3.47619e9 | − | 6.02095e9i | 0.194952 | − | 0.337666i | |||||
−1.19029e10 | − | 2.06164e10i | −0.664791 | − | 1.15145i | |||||
−5.60126e9 | − | 9.70167e9i | −0.311553 | − | 0.539626i | |||||
−4.92009e9 | + | 8.52184e9i | −0.272542 | + | 0.472057i | |||||
−8.57597e8 | −0.0473110 | −0.0236555 | − | 0.999720i | ||||||
−0.0236555 | + | 0.999720i | ||||||||
0 | 0 | |||||||||
−4.68855e9 | −0.256541 | |||||||||
1.84562e9 | − | 3.19670e9i | 0.100573 | − | 0.174198i | |||||
1.36933e10 | + | 2.37174e10i | 0.743146 | + | 1.28717i | 0.951056 | + | 0.309018i | ||
−0.207911 | + | 0.978148i | ||||||||
8.93423e9 | + | 1.54745e10i | 0.482894 | + | 0.836397i | |||||
5.09578e9 | − | 8.82615e9i | 0.274306 | − | 0.475111i | −0.695654 | − | 0.718377i | ||
0.969960 | + | 0.243266i | ||||||||
−2.63119e10 | −1.41061 | |||||||||
0 | 0 | |||||||||
−8.25327e8 | −0.0438885 | |||||||||
−1.85337e9 | + | 3.21014e9i | −0.0981578 | + | 0.170014i | −0.910922 | − | 0.412578i | ||
0.812764 | + | 0.582593i | ||||||||
−3.22486e8 | − | 5.58563e8i | −0.0170103 | − | 0.0294628i | |||||
−1.31263e10 | − | 2.27354e10i | −0.689582 | − | 1.19439i | |||||
9.33110e9 | − | 1.61619e10i | 0.488225 | − | 0.845631i | |||||
6.49358e8 | 0.0338390 | |||||||||
0 | 0 | |||||||||
−9.66004e8 | −0.0499356 | |||||||||
−1.40808e8 | + | 2.43887e8i | −0.00724954 | + | 0.0125566i | |||||
−1.21143e10 | − | 2.09827e10i | −0.621207 | − | 1.07596i | |||||
−9.95936e8 | − | 1.72501e9i | −0.0508655 | − | 0.0881017i | |||||
−8.77384e8 | + | 1.51967e9i | −0.0446313 | + | 0.0773038i | |||||
5.11628e9 | 0.259218 | |||||||||
0 | 0 | |||||||||
−3.89470e9 | −0.195754 | |||||||||
−1.09341e9 | + | 1.89383e9i | −0.0547372 | + | 0.0948076i | −0.892096 | − | 0.451847i | ||
0.837358 | + | 0.546654i | ||||||||
6.24635e9 | + | 1.08190e10i | 0.311455 | + | 0.539456i | |||||
−9.90694e8 | − | 1.71593e9i | −0.0492015 | − | 0.0852195i | |||||
6.99589e9 | − | 1.21172e10i | 0.346062 | − | 0.599396i | |||||
−9.10532e9 | −0.448621 | −0.224310 | − | 0.974518i | ||||||
−0.224310 | + | 0.974518i | ||||||||
0 | 0 | |||||||||
1.99391e10 | 0.974639 | 0.487319 | − | 0.873224i | ||||||
0.487319 | + | 0.873224i | ||||||||
−7.59116e9 | + | 1.31483e10i | −0.369594 | + | 0.640156i | |||||
−9.92300e9 | − | 1.71871e10i | −0.481217 | − | 0.833493i | |||||
−6.49923e9 | − | 1.12570e10i | −0.313938 | − | 0.543757i | |||||
3.62213e9 | − | 6.27371e9i | 0.174273 | − | 0.301850i | −0.765636 | − | 0.643274i | ||
0.939910 | + | 0.341424i | ||||||||
−3.31359e9 | −0.158801 | |||||||||
0 | 0 | |||||||||
−3.99557e10 | −1.89982 | |||||||||
1.93126e9 | − | 3.34503e9i | 0.0914678 | − | 0.158427i | |||||
−1.01132e10 | − | 1.75165e10i | −0.477101 | − | 0.826364i | |||||
−3.08777e9 | − | 5.34817e9i | −0.145099 | − | 0.251319i | |||||
−6.83658e9 | + | 1.18413e10i | −0.320006 | + | 0.554266i | |||||
3.77059e10 | 1.75804 | |||||||||
0 | 0 | |||||||||
−1.43626e10 | −0.664447 | |||||||||
3.27391e9 | − | 5.67058e9i | 0.150869 | − | 0.261313i | |||||
1.55788e7 | + | 2.69832e7i | 0.000715113 | + | 0.00123861i | |||||
−3.33066e9 | − | 5.76886e9i | −0.152293 | − | 0.263780i | |||||
2.02536e10 | − | 3.50803e10i | 0.922498 | − | 1.59781i | |||||
−3.07942e9 | −0.139716 | |||||||||
0 | 0 | |||||||||
7.50834e9 | 0.338029 | |||||||||
1.68879e10 | − | 2.92506e10i | 0.757364 | − | 1.31179i | |||||
5.82796e9 | + | 1.00943e10i | 0.260356 | + | 0.450950i | |||||
−4.37667e9 | − | 7.58061e9i | −0.194768 | − | 0.337349i | 0.752056 | − | 0.659099i | ||
−0.946825 | + | 0.321750i | ||||||||
−1.52338e9 | + | 2.63857e9i | −0.0675317 | + | 0.116968i | |||||
5.66852e9 | 0.250320 | |||||||||
0 | 0 | |||||||||
1.99869e10 | 0.875853 | 0.437926 | − | 0.899011i | ||||||
0.437926 | + | 0.899011i | ||||||||
7.56670e8 | − | 1.31059e9i | 0.0330312 | − | 0.0572118i | |||||
2.52582e10 | + | 4.37485e10i | 1.09839 | + | 1.90246i | |||||
6.13302e9 | + | 1.06227e10i | 0.265682 | + | 0.460176i | |||||
2.02005e10 | − | 3.49883e10i | 0.871743 | − | 1.50990i | |||||
−6.67449e9 | −0.286935 | |||||||||
0 | 0 | |||||||||
3.28186e9 | 0.140014 | |||||||||
4.96537e9 | − | 8.60028e9i | 0.211032 | − | 0.365518i | −0.741006 | − | 0.671498i | ||
0.952038 | + | 0.305981i | ||||||||
5.62328e9 | + | 9.73980e9i | 0.238085 | + | 0.412375i | |||||
1.25769e9 | + | 2.17839e9i | 0.0530476 | + | 0.0918811i | |||||
−1.37403e10 | + | 2.37989e10i | −0.577348 | + | 0.999996i | |||||
6.48153e10 | 2.71314 | |||||||||
0 | 0 | |||||||||
−3.42229e10 | −1.42174 | |||||||||
−6.92802e9 | + | 1.19997e10i | −0.286728 | + | 0.496628i | |||||
4.82380e9 | + | 8.35507e9i | 0.198889 | + | 0.344486i | |||||
−4.54492e7 | − | 7.87204e7i | −0.00186685 | − | 0.00323347i | |||||
−9.79538e9 | + | 1.69661e10i | −0.400836 | + | 0.694267i | −0.993827 | − | 0.110941i | ||
0.592991 | + | 0.805209i | ||||||||
−1.14027e9 | −0.0464856 | |||||||||
0 | 0 | |||||||||
1.50438e10 | 0.608697 | |||||||||
−8.24761e9 | + | 1.42853e10i | −0.332462 | + | 0.575842i | |||||
1.92595e9 | + | 3.33584e9i | 0.0773448 | + | 0.133965i | |||||
3.55977e10 | + | 6.16571e10i | 1.42423 | + | 2.46685i | |||||
−2.12415e9 | + | 3.67914e9i | −0.0846683 | + | 0.146650i | |||||
4.20286e10 | 1.66900 | 0.834500 | − | 0.551009i | ||||||
0.834500 | + | 0.551009i | ||||||||
0 | 0 | |||||||||
−5.73024e9 | −0.225862 | |||||||||
6.78749e9 | − | 1.17563e10i | 0.266540 | − | 0.461660i | |||||
4.97715e9 | + | 8.62068e9i | 0.194723 | + | 0.337270i | 0.946810 | − | 0.321794i | ||
−0.752087 | + | 0.659064i | ||||||||
−6.30036e9 | − | 1.09125e10i | −0.245577 | − | 0.425352i | |||||
1.23762e9 | − | 2.14361e9i | 0.0480612 | − | 0.0832445i | |||||
6.40577e9 | 0.247839 | |||||||||
0 | 0 | |||||||||
5.08604e10 | 1.95326 | |||||||||
1.21725e10 | − | 2.10834e10i | 0.465751 | − | 0.806705i | −0.533484 | − | 0.845810i | ||
0.999235 | + | 0.0391052i | ||||||||
−1.14836e8 | − | 1.98902e8i | −0.00437773 | − | 0.00758245i | |||||
1.28268e10 | + | 2.22167e10i | 0.487178 | + | 0.843816i | |||||
7.81493e9 | − | 1.35359e10i | 0.295728 | − | 0.512216i | |||||
−2.98065e10 | −1.12378 | |||||||||
0 | 0 | |||||||||
1.71198e10 | 0.640727 | 0.320364 | − | 0.947295i | ||||||
0.320364 | + | 0.947295i | ||||||||
5.66736e9 | − | 9.81615e9i | 0.211330 | − | 0.366034i | |||||
3.93473e9 | + | 6.81515e9i | 0.146185 | + | 0.253200i | |||||
−1.19796e9 | − | 2.07492e9i | −0.0443444 | − | 0.0768068i | |||||
2.72179e8 | − | 4.71428e8i | 0.0100384 | − | 0.0173870i | |||||
−1.32751e10 | −0.487821 | |||||||||
0 | 0 | |||||||||
3.32661e9 | 0.121353 | |||||||||
1.36932e10 | − | 2.37174e10i | 0.497707 | − | 0.862054i | |||||
1.09130e10 | + | 1.89018e10i | 0.395212 | + | 0.684527i | |||||
2.62784e9 | + | 4.55156e9i | 0.0948216 | + | 0.164236i | |||||
−3.16054e8 | + | 5.47421e8i | −0.0113629 | + | 0.0196812i | |||||
−6.33100e10 | −2.26792 | |||||||||
0 | 0 | |||||||||
−5.29443e10 | −1.88290 | −0.941448 | − | 0.337157i | ||||||
−0.941448 | + | 0.337157i | ||||||||
−8.53418e9 | + | 1.47816e10i | −0.302411 | + | 0.523792i | |||||
3.85023e9 | + | 6.66879e9i | 0.135942 | + | 0.235458i | |||||
−4.52533e9 | − | 7.83810e9i | −0.159202 | − | 0.275746i | |||||
1.22361e10 | − | 2.11936e10i | 0.428920 | − | 0.742912i | −0.567857 | − | 0.823127i | ||
0.996778 | + | 0.0802153i | ||||||||
9.18330e8 | 0.0320750 | |||||||||
0 | 0 | |||||||||
1.37613e10 | 0.477204 | |||||||||
−2.19384e10 | + | 3.79984e10i | −0.758033 | + | 1.31295i | |||||
6.52020e9 | + | 1.12933e10i | 0.224485 | + | 0.388819i | |||||
1.60839e10 | + | 2.78582e10i | 0.551774 | + | 0.955700i | 0.998147 | + | 0.0608529i | ||
−0.446373 | + | 0.894847i | ||||||||
−6.54313e9 | + | 1.13330e10i | −0.223666 | + | 0.387400i | |||||
7.72335e10 | 2.63067 | |||||||||
0 | 0 | |||||||||
2.83608e9 | 0.0959130 | |||||||||
2.66839e9 | − | 4.62179e9i | 0.0899206 | − | 0.155747i | |||||
−9.27819e9 | − | 1.60703e10i | −0.311549 | − | 0.539618i | 0.667149 | − | 0.744924i | ||
−0.978698 | + | 0.205306i | ||||||||
−3.66073e8 | − | 6.34058e8i | −0.0122486 | − | 0.0212151i | |||||
1.38512e10 | − | 2.39910e10i | 0.461807 | − | 0.799874i | |||||
4.62526e8 | 0.0153662 | |||||||||
0 | 0 | |||||||||
−9.96808e9 | −0.328823 | |||||||||
−2.04407e10 | + | 3.54044e10i | −0.671908 | + | 1.16378i | |||||
9.96094e9 | + | 1.72529e10i | 0.326270 | + | 0.565116i | |||||
−8.00744e9 | − | 1.38693e10i | −0.261358 | − | 0.452685i | 0.705245 | − | 0.708964i | ||
−0.966603 | + | 0.256278i | ||||||||
1.84025e8 | − | 3.18741e8i | 0.00598530 | − | 0.0103668i | |||||
−1.81059e10 | −0.586809 | |||||||||
0 | 0 | |||||||||
6.17454e10 | 1.98712 | |||||||||
−6.00525e9 | + | 1.04014e10i | −0.192586 | + | 0.333568i | |||||
−1.60482e10 | − | 2.77964e10i | −0.512855 | − | 0.888290i | −0.999889 | − | 0.0149074i | ||
0.487034 | − | 0.873383i | ||||||||
2.18391e9 | + | 3.78264e9i | 0.0695469 | + | 0.120459i | |||||
2.35899e9 | − | 4.08589e9i | 0.0748594 | − | 0.129660i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 294.8.e.a.79.1 | 2 | ||
7.2 | even | 3 | 42.8.a.f.1.1 | ✓ | 1 | ||
7.3 | odd | 6 | 294.8.e.f.67.1 | 2 | |||
7.4 | even | 3 | inner | 294.8.e.a.67.1 | 2 | ||
7.5 | odd | 6 | 294.8.a.k.1.1 | 1 | |||
7.6 | odd | 2 | 294.8.e.f.79.1 | 2 | |||
21.2 | odd | 6 | 126.8.a.a.1.1 | 1 | |||
28.23 | odd | 6 | 336.8.a.f.1.1 | 1 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.8.a.f.1.1 | ✓ | 1 | 7.2 | even | 3 | ||
126.8.a.a.1.1 | 1 | 21.2 | odd | 6 | |||
294.8.a.k.1.1 | 1 | 7.5 | odd | 6 | |||
294.8.e.a.67.1 | 2 | 7.4 | even | 3 | inner | ||
294.8.e.a.79.1 | 2 | 1.1 | even | 1 | trivial | ||
294.8.e.f.67.1 | 2 | 7.3 | odd | 6 | |||
294.8.e.f.79.1 | 2 | 7.6 | odd | 2 | |||
336.8.a.f.1.1 | 1 | 28.23 | odd | 6 |