Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [784,2,Mod(197,784)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(784, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("784.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 784.m (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | no (minimal twist has level 112) |
Sato-Tate group: |
Embedding invariants
Embedding label | 197.8 | ||
Character | 784.197 | ||
Dual form | 784.2.m.k.589.8 |
-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 .
0.844695 | + | 1.13424i | 0.597290 | + | 0.802026i | |||||
−0.614312 | + | 0.614312i | −0.354673 | + | 0.354673i | −0.861845 | − | 0.507172i | ||
0.507172 | + | 0.861845i | ||||||||
−0.572980 | + | 1.91617i | −0.286490 | + | 0.958083i | |||||
−2.31562 | − | 2.31562i | −1.03558 | − | 1.03558i | −0.999343 | − | 0.0362338i | ||
−0.0362338 | − | 0.999343i | ||||||||
−1.21568 | − | 0.177868i | −0.496299 | − | 0.0726143i | |||||
0 | 0 | |||||||||
−2.65738 | + | 0.968682i | −0.939525 | + | 0.342481i | |||||
2.24524i | 0.748414i | |||||||||
0.670466 | − | 4.58245i | 0.212020 | − | 1.44910i | |||||
−2.10128 | − | 2.10128i | −0.633559 | − | 0.633559i | 0.315400 | − | 0.948959i | ||
−0.948959 | + | 0.315400i | ||||||||
−0.825135 | − | 1.52911i | −0.238196 | − | 0.441417i | |||||
3.63293 | − | 3.63293i | 1.00759 | − | 1.00759i | 0.00762179 | − | 0.999971i | ||
0.999971 | − | 0.00762179i | ||||||||
0 | 0 | |||||||||
2.84503 | 0.734583 | |||||||||
−3.34339 | − | 2.19585i | −0.835847 | − | 0.548963i | |||||
−3.63712 | −0.882131 | −0.441066 | − | 0.897475i | ||||||
−0.441066 | + | 0.897475i | ||||||||
−2.54663 | + | 1.89654i | −0.600247 | + | 0.447020i | |||||
1.17340 | − | 1.17340i | 0.269197 | − | 0.269197i | −0.559579 | − | 0.828777i | ||
0.828777 | + | 0.559579i | ||||||||
5.76392 | − | 3.11031i | 1.28885 | − | 0.695486i | |||||
0 | 0 | |||||||||
0.608405 | − | 4.15828i | 0.129712 | − | 0.886549i | |||||
− | 6.16261i | − | 1.28499i | −0.766288 | − | 0.642497i | ||||
0.766288 | − | 0.642497i | ||||||||
1.03739 | − | 2.22753i | 0.211756 | − | 0.454693i | |||||
5.72420i | 1.14484i | |||||||||
7.18931 | + | 1.05188i | 1.40994 | + | 0.206291i | |||||
−3.22221 | − | 3.22221i | −0.620115 | − | 0.620115i | |||||
0 | 0 | |||||||||
5.10266 | − | 5.10266i | 0.947539 | − | 0.947539i | −0.0511514 | − | 0.998691i | ||
0.998691 | + | 0.0511514i | ||||||||
2.40318 | + | 3.22693i | 0.438759 | + | 0.589154i | |||||
−2.01521 | −0.361943 | −0.180972 | − | 0.983488i | ||||||
−0.180972 | + | 0.983488i | ||||||||
−0.333530 | − | 5.64701i | −0.0589603 | − | 0.998260i | |||||
2.58168 | 0.449413 | |||||||||
−3.07226 | − | 4.12535i | −0.526888 | − | 0.707492i | |||||
0 | 0 | |||||||||
−4.30226 | − | 1.28648i | −0.717043 | − | 0.214413i | |||||
4.07871 | + | 4.07871i | 0.670536 | + | 0.670536i | 0.957839 | − | 0.287304i | ||
−0.287304 | + | 0.957839i | ||||||||
2.32209 | + | 0.339748i | 0.376692 | + | 0.0551144i | |||||
4.46350i | 0.714732i | |||||||||
8.39658 | + | 3.91038i | 1.32762 | + | 0.618285i | |||||
− | 3.71244i | − | 0.579786i | −0.957059 | − | 0.289893i | ||||
0.957059 | − | 0.289893i | ||||||||
0 | 0 | |||||||||
−2.91640 | − | 2.91640i | −0.444747 | − | 0.444747i | 0.448857 | − | 0.893604i | ||
−0.893604 | + | 0.448857i | ||||||||
5.23039 | − | 2.82241i | 0.788511 | − | 0.425494i | |||||
5.19913 | − | 5.19913i | 0.775040 | − | 0.775040i | |||||
6.98986 | − | 5.20553i | 1.03060 | − | 0.767513i | |||||
−10.1313 | −1.47780 | −0.738900 | − | 0.673815i | ||||||
−0.738900 | + | 0.673815i | ||||||||
3.40282 | − | 0.704944i | 0.491155 | − | 0.101750i | |||||
0 | 0 | |||||||||
−6.49259 | + | 4.83520i | −0.918191 | + | 0.683801i | |||||
2.23433 | − | 2.23433i | 0.312868 | − | 0.312868i | |||||
4.87970 | + | 9.04289i | 0.676692 | + | 1.25402i | |||||
−2.69609 | − | 2.69609i | −0.370336 | − | 0.370336i | 0.497264 | − | 0.867600i | ||
−0.867600 | + | 0.497264i | ||||||||
0.932961 | − | 6.37654i | 0.126960 | − | 0.867737i | |||||
9.73153i | 1.31220i | |||||||||
0 | 0 | |||||||||
1.44167i | 0.190954i | |||||||||
10.0978 | + | 1.47743i | 1.32591 | + | 0.193995i | |||||
−2.67184 | − | 2.67184i | −0.347845 | − | 0.347845i | 0.511462 | − | 0.859306i | ||
−0.859306 | + | 0.511462i | ||||||||
−1.63014 | + | 5.45154i | −0.210451 | + | 0.703791i | |||||
−4.79291 | + | 4.79291i | −0.613670 | + | 0.613670i | −0.943900 | − | 0.330231i | ||
0.330231 | + | 0.943900i | ||||||||
−1.70224 | − | 2.28573i | −0.216185 | − | 0.290288i | |||||
0 | 0 | |||||||||
6.12331 | − | 5.14831i | 0.765414 | − | 0.643538i | |||||
−16.8250 | −2.08688 | |||||||||
2.18073 | + | 2.92823i | 0.268430 | + | 0.360441i | |||||
−4.30731 | + | 4.30731i | −0.526222 | + | 0.526222i | −0.919444 | − | 0.393222i | ||
0.393222 | + | 0.919444i | ||||||||
2.08400 | − | 6.96933i | 0.252722 | − | 0.845155i | |||||
3.78577 | + | 3.78577i | 0.455753 | + | 0.455753i | |||||
0 | 0 | |||||||||
9.55168i | 1.13358i | 0.823864 | + | 0.566788i | ||||||
−0.823864 | + | 0.566788i | ||||||||
−2.17492 | − | 5.96646i | −0.256317 | − | 0.703154i | |||||
− | 1.14315i | − | 0.133796i | −0.997760 | − | 0.0668980i | ||||
0.997760 | − | 0.0668980i | ||||||||
−1.18095 | + | 8.07148i | −0.137283 | + | 0.938291i | |||||
−3.51644 | − | 3.51644i | −0.406044 | − | 0.406044i | |||||
1.57610 | + | 2.92078i | 0.180791 | + | 0.335036i | |||||
0 | 0 | |||||||||
−5.06266 | + | 3.77030i | −0.573233 | + | 0.426902i | |||||
−0.241393 | −0.0271588 | −0.0135794 | − | 0.999908i | ||||||
−0.0135794 | + | 0.999908i | ||||||||
2.65726 | + | 12.8268i | 0.297090 | + | 1.43408i | |||||
−2.77684 | −0.308538 | |||||||||
4.21079 | − | 3.13588i | 0.465004 | − | 0.346300i | |||||
0.459183 | − | 0.459183i | 0.0504018 | − | 0.0504018i | −0.681457 | − | 0.731858i | ||
0.731858 | + | 0.681457i | ||||||||
0 | 0 | |||||||||
8.42219 | + | 8.42219i | 0.913515 | + | 0.913515i | |||||
0.844416 | − | 5.77135i | 0.0910557 | − | 0.622341i | |||||
6.26924i | 0.672133i | |||||||||
7.61936 | + | 3.54842i | 0.812226 | + | 0.378263i | |||||
− | 4.35118i | − | 0.461224i | −0.973046 | − | 0.230612i | ||||
0.973046 | − | 0.230612i | ||||||||
10.2887 | + | 1.50536i | 1.08453 | + | 0.158679i | |||||
0 | 0 | |||||||||
11.8086 | + | 3.53106i | 1.23113 | + | 0.368138i | |||||
1.23797 | − | 1.23797i | 0.128371 | − | 0.128371i | |||||
−8.55785 | − | 11.4913i | −0.882675 | − | 1.18523i | |||||
−5.43432 | −0.557549 | |||||||||
3.67392 | + | 3.26414i | 0.374968 | + | 0.333144i | |||||
−6.80176 | −0.690614 | −0.345307 | − | 0.938490i | ||||||
−0.345307 | + | 0.938490i | ||||||||
0 | 0 | |||||||||
4.71788 | − | 4.71788i | 0.474165 | − | 0.474165i | |||||
−10.9685 | − | 3.27985i | −1.09685 | − | 0.327985i | |||||
2.25232 | + | 2.25232i | 0.224114 | + | 0.224114i | 0.810229 | − | 0.586114i | ||
−0.586114 | + | 0.810229i | ||||||||
4.42158 | + | 0.646928i | 0.437801 | + | 0.0640554i | |||||
3.75921i | 0.370406i | 0.982700 | + | 0.185203i | ||||||
−0.982700 | + | 0.185203i | ||||||||
−6.13491 | + | 13.1732i | −0.601577 | + | 1.29174i | |||||
0 | 0 | |||||||||
0.780626 | − | 5.33537i | 0.0758211 | − | 0.518217i | |||||
0.268184 | + | 0.268184i | 0.0259263 | + | 0.0259263i | 0.719951 | − | 0.694025i | ||
−0.694025 | + | 0.719951i | ||||||||
8.02056 | − | 4.32803i | 0.771779 | − | 0.416465i | |||||
7.06908 | − | 7.06908i | 0.677095 | − | 0.677095i | −0.282247 | − | 0.959342i | ||
0.959342 | + | 0.282247i | ||||||||
−11.0378 | + | 8.22017i | −1.05242 | + | 0.783763i | |||||
−5.01120 | −0.475642 | |||||||||
0 | 0 | |||||||||
2.62015 | 0.246483 | 0.123242 | − | 0.992377i | ||||||
0.123242 | + | 0.992377i | ||||||||
−1.63520 | + | 1.21777i | −0.153150 | + | 0.114055i | |||||
−14.2703 | + | 14.2703i | −1.33071 | + | 1.33071i | |||||
6.85382 | + | 12.7013i | 0.636361 | + | 1.17928i | |||||
8.15680 | + | 8.15680i | 0.754097 | + | 0.754097i | |||||
0.773607 | − | 5.28739i | 0.0712163 | − | 0.486744i | |||||
0 | 0 | |||||||||
−7.56031 | + | 2.75592i | −0.690159 | + | 0.251580i | |||||
− | 2.16926i | − | 0.197205i | |||||||
−9.48484 | − | 1.38774i | −0.858717 | − | 0.125640i | |||||
2.28060 | + | 2.28060i | 0.205635 | + | 0.205635i | |||||
1.15468 | − | 3.86148i | 0.103693 | − | 0.346772i | |||||
1.67697 | − | 1.67697i | 0.149993 | − | 0.149993i | |||||
0 | 0 | |||||||||
−12.8840 | −1.14327 | −0.571635 | − | 0.820508i | ||||||
−0.571635 | + | 0.820508i | ||||||||
11.0117 | + | 2.59653i | 0.973308 | + | 0.229503i | |||||
3.58316 | 0.315479 | |||||||||
−14.2120 | − | 19.0835i | −1.24647 | − | 1.67373i | |||||
−6.57048 | + | 6.57048i | −0.574065 | + | 0.574065i | −0.933262 | − | 0.359197i | ||
0.359197 | + | 0.933262i | ||||||||
−1.47925 | + | 4.94693i | −0.128752 | + | 0.430575i | |||||
0 | 0 | |||||||||
−8.52388 | − | 1.24714i | −0.736351 | − | 0.107737i | |||||
14.9229i | 1.28435i | |||||||||
9.66520 | − | 3.52321i | 0.828784 | − | 0.302113i | |||||
− | 11.8024i | − | 1.00834i | −0.863604 | − | 0.504172i | ||||
0.863604 | − | 0.504172i | ||||||||
−1.09613 | + | 7.49177i | −0.0933090 | + | 0.637742i | |||||
−8.15708 | − | 8.15708i | −0.691874 | − | 0.691874i | 0.270770 | − | 0.962644i | ||
−0.962644 | + | 0.270770i | ||||||||
0 | 0 | |||||||||
6.22377 | − | 6.22377i | 0.524136 | − | 0.524136i | |||||
−10.8339 | + | 8.06825i | −0.909157 | + | 0.677073i | |||||
−15.2676 | −1.27674 | |||||||||
4.93022 | − | 7.50671i | 0.410852 | − | 0.625559i | |||||
−23.6316 | −1.96250 | |||||||||
1.29660 | − | 0.965616i | 0.107308 | − | 0.0799149i | |||||
0 | 0 | |||||||||
−10.1525 | + | 5.47846i | −0.834531 | + | 0.450327i | |||||
−8.30787 | − | 8.30787i | −0.680607 | − | 0.680607i | 0.279530 | − | 0.960137i | ||
−0.960137 | + | 0.279530i | ||||||||
1.01815 | − | 6.95880i | 0.0831318 | − | 0.568184i | |||||
− | 19.6074i | − | 1.59563i | −0.602903 | − | 0.797815i | ||||
0.602903 | − | 0.797815i | ||||||||
−1.98152 | + | 4.25483i | −0.160723 | + | 0.345113i | |||||
− | 8.16622i | − | 0.660199i | |||||||
0 | 0 | |||||||||
4.66647 | + | 4.66647i | 0.374820 | + | 0.374820i | |||||
−8.55281 | − | 2.55750i | −0.684773 | − | 0.204764i | |||||
3.82384 | − | 3.82384i | 0.305176 | − | 0.305176i | −0.537859 | − | 0.843035i | ||
0.843035 | + | 0.537859i | ||||||||
−0.203903 | − | 0.273796i | −0.0162217 | − | 0.0217821i | |||||
3.31248 | 0.262696 | |||||||||
−12.3040 | + | 13.8487i | −0.972718 | + | 1.09483i | |||||
0 | 0 | |||||||||
−2.34558 | − | 3.14959i | −0.184286 | − | 0.247455i | |||||
7.97599 | − | 7.97599i | 0.624727 | − | 0.624727i | −0.322009 | − | 0.946737i | ||
0.946737 | + | 0.322009i | ||||||||
7.11366 | + | 2.12716i | 0.555484 | + | 0.166103i | |||||
−5.97819 | − | 5.97819i | −0.465402 | − | 0.465402i | |||||
0.908690 | + | 0.132952i | 0.0705280 | + | 0.0103191i | |||||
21.8111i | 1.68779i | 0.536508 | + | 0.843895i | ||||||
−0.536508 | + | 0.843895i | ||||||||
0 | 0 | |||||||||
− | 13.3963i | − | 1.03049i | |||||||
−2.43857 | + | 16.6669i | −0.187029 | + | 1.27830i | |||||
2.63458 | + | 2.63458i | 0.201471 | + | 0.201471i | |||||
7.25935 | − | 3.91727i | 0.553520 | − | 0.298689i | |||||
16.0601 | − | 16.0601i | 1.22103 | − | 1.22103i | 0.253759 | − | 0.967267i | ||
0.967267 | − | 0.253759i | ||||||||
−7.11080 | + | 5.29560i | −0.539068 | + | 0.401458i | |||||
0 | 0 | |||||||||
2.41129 | + | 11.6395i | 0.181758 | + | 0.877359i | |||||
3.28269 | 0.246742 | |||||||||
4.93526 | − | 3.67542i | 0.369913 | − | 0.275484i | |||||
−15.2220 | + | 15.2220i | −1.13774 | + | 1.13774i | −0.148888 | + | 0.988854i | ||
−0.988854 | + | 0.148888i | ||||||||
6.98340 | + | 12.9414i | 0.520512 | + | 0.964595i | |||||
11.8484 | + | 11.8484i | 0.880684 | + | 0.880684i | 0.993604 | − | 0.112920i | ||
−0.112920 | + | 0.993604i | ||||||||
0 | 0 | |||||||||
− | 5.88869i | − | 0.435304i | |||||||
5.96961 | + | 16.3764i | 0.440086 | + | 1.20728i | |||||
− | 18.8895i | − | 1.38878i | |||||||
2.44986 | + | 0.358442i | 0.179632 | + | 0.0262823i | |||||
7.64260 | + | 7.64260i | 0.558882 | + | 0.558882i | |||||
5.80503 | − | 19.4132i | 0.423375 | − | 1.41586i | |||||
0 | 0 | |||||||||
−4.59034 | − | 6.16380i | −0.333018 | − | 0.447169i | |||||
7.88799 | 0.570755 | 0.285377 | − | 0.958415i | ||||||
0.285377 | + | 0.958415i | ||||||||
−0.598958 | + | 6.92429i | −0.0432261 | + | 0.499717i | |||||
24.8808 | 1.79096 | 0.895478 | − | 0.445105i | ||||||
0.895478 | + | 0.445105i | ||||||||
−5.74541 | − | 7.71480i | −0.412497 | − | 0.553890i | |||||
10.3358 | − | 10.3358i | 0.740160 | − | 0.740160i | |||||
0 | 0 | |||||||||
−7.75408 | − | 7.75408i | −0.552455 | − | 0.552455i | 0.374694 | − | 0.927149i | ||
−0.927149 | + | 0.374694i | ||||||||
9.33635 | + | 1.36602i | 0.663506 | + | 0.0970786i | |||||
11.4472i | 0.811469i | 0.913991 | + | 0.405734i | ||||||
−0.913991 | + | 0.405734i | ||||||||
−5.54493 | − | 15.2114i | −0.392086 | − | 1.07561i | |||||
− | 5.29207i | − | 0.373274i | |||||||
−0.652139 | + | 4.45719i | −0.0458843 | + | 0.313607i | |||||
0 | 0 | |||||||||
3.00112 | + | 5.56157i | 0.210120 | + | 0.389387i | |||||
−8.59661 | + | 8.59661i | −0.600414 | + | 0.600414i | |||||
−4.26383 | + | 3.17539i | −0.297075 | + | 0.221240i | |||||
13.8366 | 0.961707 | |||||||||
−20.1237 | + | 4.16891i | −1.39532 | + | 0.289062i | |||||
−4.93130 | −0.341105 | |||||||||
0 | 0 | |||||||||
−8.69524 | + | 8.69524i | −0.598605 | + | 0.598605i | −0.939941 | − | 0.341336i | ||
0.341336 | + | 0.939941i | ||||||||
6.71096 | − | 3.62135i | 0.460910 | − | 0.248715i | |||||
−5.86771 | − | 5.86771i | −0.402049 | − | 0.402049i | |||||
−0.0776500 | + | 0.530717i | −0.00530805 | + | 0.0362791i | |||||
13.5066i | 0.921139i | |||||||||
11.6839 | + | 5.44134i | 0.794991 | + | 0.370236i | |||||
0 | 0 | |||||||||
13.9892 | + | 2.04679i | 0.947470 | + | 0.138626i | |||||
0.702252 | + | 0.702252i | 0.0474538 | + | 0.0474538i | |||||
−18.6472 | − | 5.57597i | −1.25720 | − | 0.375932i | |||||
−13.2134 | + | 13.2134i | −0.888829 | + | 0.888829i | |||||
−4.23293 | − | 5.68388i | −0.284096 | − | 0.381477i | |||||
−21.9483 | −1.46976 | −0.734882 | − | 0.678195i | ||||||
−0.734882 | + | 0.678195i | ||||||||
0 | 0 | |||||||||
−12.8522 | −0.856814 | |||||||||
2.21323 | + | 2.97187i | 0.147222 | + | 0.197686i | |||||
17.4436 | − | 17.4436i | 1.15777 | − | 1.15777i | 0.172820 | − | 0.984953i | ||
0.984953 | − | 0.172820i | ||||||||
−2.76248 | − | 0.826050i | −0.182950 | − | 0.0547065i | |||||
6.72768 | + | 6.72768i | 0.444578 | + | 0.444578i | 0.893547 | − | 0.448969i | ||
−0.448969 | + | 0.893547i | ||||||||
−28.2399 | − | 4.13182i | −1.86208 | − | 0.272444i | |||||
0 | 0 | |||||||||
−8.61684 | + | 18.5025i | −0.565723 | + | 1.21475i | |||||
22.2376i | 1.45684i | 0.685133 | + | 0.728418i | ||||||
−0.685133 | + | 0.728418i | ||||||||
−2.36172 | + | 16.1417i | −0.154391 | + | 1.05522i | |||||
23.4602 | + | 23.4602i | 1.53038 | + | 1.53038i | |||||
6.65061 | − | 3.58878i | 0.432918 | − | 0.233610i | |||||
0.148290 | − | 0.148290i | 0.00963250 | − | 0.00963250i | |||||
0 | 0 | |||||||||
14.9579 | 0.967548 | 0.483774 | − | 0.875193i | ||||||
0.483774 | + | 0.875193i | ||||||||
−9.51202 | − | 6.24726i | −0.613999 | − | 0.403259i | |||||
24.3500 | 1.56852 | 0.784262 | − | 0.620430i | ||||||
0.784262 | + | 0.620430i | ||||||||
2.46045 | − | 1.83236i | 0.158164 | − | 0.117789i | |||||
11.3725 | − | 11.3725i | 0.729545 | − | 0.729545i | |||||
−6.43777 | − | 11.9303i | −0.412136 | − | 0.763757i | |||||
0 | 0 | |||||||||
−0.660325 | + | 4.51315i | −0.0421008 | + | 0.287748i | |||||
− | 8.52578i | − | 0.542483i | |||||||
5.35518 | − | 1.95210i | 0.340055 | − | 0.123958i | |||||
0.564162i | 0.0357523i | |||||||||
3.31862 | + | 0.485552i | 0.209888 | + | 0.0307090i | |||||
3.50509 | + | 3.50509i | 0.221239 | + | 0.221239i | 0.809020 | − | 0.587781i | ||
−0.587781 | + | 0.809020i | ||||||||
0 | 0 | |||||||||
−12.9494 | + | 12.9494i | −0.814120 | + | 0.814120i | |||||
−10.8831 | − | 14.6135i | −0.682863 | − | 0.916932i | |||||
−10.3477 | −0.647998 | |||||||||
6.35647 | + | 14.6832i | 0.397279 | + | 0.917698i | |||||
−6.49705 | −0.405275 | −0.202638 | − | 0.979254i | ||||||
−0.202638 | + | 0.979254i | ||||||||
3.02668 | + | 4.06415i | 0.188433 | + | 0.253023i | |||||
0 | 0 | |||||||||
9.64038 | − | 32.2394i | 0.597871 | − | 1.99940i | |||||
11.4567 | + | 11.4567i | 0.709152 | + | 0.709152i | |||||
−13.0025 | − | 1.90242i | −0.803298 | − | 0.117532i | |||||
− | 24.7362i | − | 1.52530i | −0.646811 | − | 0.762650i | ||||
0.646811 | − | 0.762650i | ||||||||
−6.86050 | + | 2.50083i | −0.422235 | + | 0.153915i | |||||
12.4862i | 0.767023i | |||||||||
0 | 0 | |||||||||
2.67298 | + | 2.67298i | 0.163584 | + | 0.163584i | |||||
−5.78552 | − | 10.7215i | −0.353407 | − | 0.654922i | |||||
1.05961 | − | 1.05961i | 0.0646055 | − | 0.0646055i | −0.674066 | − | 0.738671i | ||
0.738671 | + | 0.674066i | ||||||||
−16.9260 | + | 12.6053i | −1.03009 | + | 0.767132i | |||||
7.36247 | 0.447238 | 0.223619 | − | 0.974677i | ||||||
0.223619 | + | 0.974677i | ||||||||
12.1603 | + | 7.98658i | 0.737327 | + | 0.484257i | |||||
0 | 0 | |||||||||
13.3866 | − | 9.96939i | 0.808717 | − | 0.602273i | |||||
12.0281 | − | 12.0281i | 0.725324 | − | 0.725324i | |||||
−9.42333 | + | 5.08499i | −0.567218 | + | 0.306080i | |||||
−3.20233 | − | 3.20233i | −0.192410 | − | 0.192410i | 0.604327 | − | 0.796737i | ||
−0.796737 | + | 0.604327i | ||||||||
2.36180 | − | 16.1423i | 0.141652 | − | 0.968151i | |||||
− | 4.52464i | − | 0.270883i | |||||||
0 | 0 | |||||||||
9.72875i | 0.580369i | 0.956971 | + | 0.290184i | ||||||
−0.956971 | + | 0.290184i | ||||||||
12.3164 | + | 1.80203i | 0.733432 | + | 0.107310i | |||||
−2.84445 | − | 2.84445i | −0.169085 | − | 0.169085i | 0.617492 | − | 0.786577i | ||
−0.786577 | + | 0.617492i | ||||||||
−18.3026 | − | 5.47292i | −1.08606 | − | 0.324758i | |||||
3.33837 | − | 3.33837i | 0.197748 | − | 0.197748i | |||||
−12.8965 | − | 17.3170i | −0.762583 | − | 1.02398i | |||||
0 | 0 | |||||||||
12.6789 | − | 0.748855i | 0.747112 | − | 0.0441267i | |||||
−3.77136 | −0.221844 | |||||||||
−19.9615 | − | 26.8038i | −1.17218 | − | 1.57398i | |||||
4.17840 | − | 4.17840i | 0.244942 | − | 0.244942i | |||||
2.19047 | + | 0.655004i | 0.128188 | + | 0.0383312i | |||||
−1.88131 | − | 1.88131i | −0.109908 | − | 0.109908i | 0.650014 | − | 0.759922i | ||
−0.759922 | + | 0.650014i | ||||||||
0 | 0 | |||||||||
12.3740i | 0.720440i | |||||||||
−14.7896 | − | 6.88770i | −0.859630 | − | 0.400339i | |||||
13.5415i | 0.785760i | |||||||||
2.40546 | − | 16.4407i | 0.139345 | − | 0.952384i | |||||
−22.3883 | − | 22.3883i | −1.29475 | − | 1.29475i | |||||
8.75295 | − | 4.72324i | 0.505352 | − | 0.272696i | |||||
0 | 0 | |||||||||
22.2394 | − | 16.5623i | 1.27974 | − | 0.953053i | |||||
−2.76726 | −0.158975 | |||||||||
−6.49977 | + | 1.34652i | −0.372787 | + | 0.0772284i | |||||
22.1971 | 1.27100 | |||||||||
9.26241 | − | 6.89796i | 0.529497 | − | 0.394330i | |||||
−3.98977 | + | 3.98977i | −0.227708 | + | 0.227708i | −0.811735 | − | 0.584026i | ||
0.584026 | + | 0.811735i | ||||||||
0 | 0 | |||||||||
−2.30933 | − | 2.30933i | −0.131373 | − | 0.131373i | |||||
−1.35113 | + | 9.23462i | −0.0767391 | + | 0.524491i | |||||
0.808093i | 0.0458228i | 0.999737 | + | 0.0229114i | ||||||
−0.999737 | + | 0.0229114i | ||||||||
−4.32371 | − | 11.8612i | −0.244782 | − | 0.671509i | |||||
23.2955i | 1.31674i | 0.752694 | + | 0.658371i | ||||||
−0.752694 | + | 0.658371i | ||||||||
7.56712 | + | 1.10716i | 0.427037 | + | 0.0624805i | |||||
0 | 0 | |||||||||
0.138313 | − | 0.462549i | 0.00778073 | − | 0.0260204i | |||||
−2.20803 | + | 2.20803i | −0.124015 | + | 0.124015i | −0.766390 | − | 0.642375i | ||
0.642375 | + | 0.766390i | ||||||||
2.79803 | + | 3.75713i | 0.156906 | + | 0.210689i | |||||
−21.4442 | −1.20064 | |||||||||
−26.1008 | − | 2.25775i | −1.45908 | − | 0.126212i | |||||
−0.329497 | −0.0183907 | |||||||||
0 | 0 | |||||||||
−4.26781 | + | 4.26781i | −0.237467 | + | 0.237467i | |||||
1.59107 | − | 5.32088i | 0.0883930 | − | 0.295605i | |||||
20.7956 | + | 20.7956i | 1.15353 | + | 1.15353i | |||||
15.7839 | + | 2.30937i | 0.874191 | + | 0.127904i | |||||
8.68524i | 0.480295i | |||||||||
3.59618 | + | 9.86537i | 0.198566 | + | 0.544724i | |||||
0 | 0 | |||||||||
1.73093 | − | 11.8304i | 0.0952845 | − | 0.651244i | |||||
−11.1391 | − | 11.1391i | −0.612258 | − | 0.612258i | 0.331276 | − | 0.943534i | ||
−0.943534 | + | 0.331276i | ||||||||
0.616767 | + | 1.14297i | 0.0338495 | + | 0.0627288i | |||||
−9.15769 | + | 9.15769i | −0.501838 | + | 0.501838i | |||||
−24.7389 | + | 18.4237i | −1.35365 | + | 1.00810i | |||||
19.9482 | 1.08989 | |||||||||
0 | 0 | |||||||||
−5.36065 | −0.292013 | −0.146007 | − | 0.989284i | ||||||
−0.146007 | + | 0.989284i | ||||||||
15.1946 | − | 11.3158i | 0.826476 | − | 0.615499i | |||||
−1.60959 | + | 1.60959i | −0.0874210 | + | 0.0874210i | |||||
−20.9641 | + | 11.3126i | −1.13694 | + | 0.613510i | |||||
4.23452 | + | 4.23452i | 0.229312 | + | 0.229312i | |||||
−0.762816 | + | 5.21364i | −0.0412484 | + | 0.281922i | |||||
0 | 0 | |||||||||
10.5750 | + | 4.92491i | 0.570168 | + | 0.265534i | |||||
− | 17.5328i | − | 0.943934i | |||||||
31.7818 | + | 4.65005i | 1.70860 | + | 0.249988i | |||||
−11.7410 | − | 11.7410i | −0.630292 | − | 0.630292i | 0.317849 | − | 0.948141i | ||
−0.948141 | + | 0.317849i | ||||||||
−12.0129 | − | 3.59215i | −0.643960 | − | 0.192560i | |||||
22.2799 | − | 22.2799i | 1.19262 | − | 1.19262i | 0.216286 | − | 0.976330i | ||
0.976330 | − | 0.216286i | ||||||||
0 | 0 | |||||||||
−23.4121 | −1.24965 | |||||||||
−11.1651 | + | 12.5668i | −0.595102 | + | 0.669812i | |||||
−13.6875 | −0.728510 | −0.364255 | − | 0.931299i | ||||||
−0.364255 | + | 0.931299i | ||||||||
2.77287 | + | 3.72334i | 0.147377 | + | 0.197894i | |||||
22.1181 | − | 22.1181i | 1.17390 | − | 1.17390i | |||||
8.33758 | + | 2.49314i | 0.441891 | + | 0.132136i | |||||
0 | 0 | |||||||||
−30.1232 | − | 4.40737i | −1.59206 | − | 0.232937i | |||||
6.32231i | 0.333679i | 0.985984 | + | 0.166840i | ||||||
−0.985984 | + | 0.166840i | ||||||||
−8.77975 | + | 18.8524i | −0.462733 | + | 0.993606i | |||||
16.2462i | 0.855066i | |||||||||
−3.43059 | + | 23.4471i | −0.180308 | + | 1.23235i | |||||
1.33260 | + | 1.33260i | 0.0699434 | + | 0.0699434i | |||||
0 | 0 | |||||||||
−2.64711 | + | 2.64711i | −0.138556 | + | 0.138556i | |||||
6.67916 | − | 4.97414i | 0.349125 | − | 0.260003i | |||||
37.2328 | 1.94354 | 0.971768 | − | 0.235939i | ||||||
0.971768 | + | 0.235939i | ||||||||
−13.5322 | + | 20.6040i | −0.705414 | + | 1.07406i | |||||
8.33534 | 0.433920 | |||||||||
21.4251 | − | 15.9559i | 1.11384 | − | 0.829505i | |||||
0 | 0 | |||||||||
1.66282 | + | 3.08149i | 0.0862134 | + | 0.159768i | |||||
3.05659 | + | 3.05659i | 0.158264 | + | 0.158264i | 0.781797 | − | 0.623533i | ||
−0.623533 | + | 0.781797i | ||||||||
−2.21284 | + | 15.1242i | −0.114423 | + | 0.782053i | |||||
2.06037i | 0.106397i | |||||||||
26.9227 | − | 9.81400i | 1.38843 | − | 0.506118i | |||||
− | 37.0752i | − | 1.90947i | |||||||
0 | 0 | |||||||||
−11.5118 | − | 11.5118i | −0.591323 | − | 0.591323i | 0.346666 | − | 0.937989i | ||
−0.937989 | + | 0.346666i | ||||||||
3.11376 | − | 10.4131i | 0.159732 | − | 0.534179i | |||||
7.91479 | − | 7.91479i | 0.405487 | − | 0.405487i | |||||
6.66295 | + | 8.94684i | 0.340906 | + | 0.457760i | |||||
19.7267 | 1.00799 | 0.503993 | − | 0.863708i | ||||||
0.503993 | + | 0.863708i | ||||||||
−8.35971 | + | 5.16955i | −0.426605 | + | 0.263808i | |||||
0 | 0 | |||||||||
21.0167 | + | 28.2206i | 1.06972 | + | 1.43639i | |||||
6.54802 | − | 6.54802i | 0.332855 | − | 0.332855i | |||||
3.89728 | − | 13.0333i | 0.197854 | − | 0.661666i | |||||
−4.19887 | − | 4.19887i | −0.212891 | − | 0.212891i | 0.592603 | − | 0.805494i | ||
−0.805494 | + | 0.592603i | ||||||||
20.4538 | + | 2.99262i | 1.03572 | + | 0.151537i | |||||
22.4142i | 1.13353i | |||||||||
0 | 0 | |||||||||
− | 8.07264i | − | 0.407211i | |||||||
2.24512 | − | 15.3448i | 0.113107 | − | 0.773059i | |||||
0.558974 | + | 0.558974i | 0.0281250 | + | 0.0281250i | |||||
6.33699 | + | 11.7435i | 0.318446 | + | 0.590133i | |||||
18.0822 | − | 18.0822i | 0.907520 | − | 0.907520i | −0.0885515 | − | 0.996072i | ||
0.996072 | + | 0.0885515i | ||||||||
−12.9838 | + | 9.66937i | −0.650819 | + | 0.484682i | |||||
0 | 0 | |||||||||
12.5695 | − | 19.1382i | 0.628475 | − | 0.956911i | |||||
3.60293 | 0.179922 | 0.0899610 | − | 0.995945i | ||||||
0.0899610 | + | 0.995945i | ||||||||
6.00245 | − | 4.47018i | 0.299375 | − | 0.222952i | |||||
−7.32112 | + | 7.32112i | −0.364691 | + | 0.364691i | |||||
−5.60636 | + | 3.02529i | −0.278927 | + | 0.150514i | |||||
6.43010 | + | 6.43010i | 0.319514 | + | 0.319514i | |||||
0 | 0 | |||||||||
− | 17.1410i | − | 0.849648i | |||||||
−3.77310 | + | 8.10180i | −0.186796 | + | 0.401099i | |||||
15.3319i | 0.758114i | 0.925373 | + | 0.379057i | ||||||
−0.925373 | + | 0.379057i | ||||||||
−17.0121 | − | 2.48907i | −0.840168 | − | 0.122926i | |||||
7.25032 | + | 7.25032i | 0.357632 | + | 0.357632i | |||||
−7.20327 | − | 2.15395i | −0.354880 | − | 0.106118i | |||||
0 | 0 | |||||||||
11.6877 | + | 15.6939i | 0.574418 | + | 0.771314i | |||||
−2.12659 | −0.104390 | |||||||||
−21.7269 | − | 19.3035i | −1.06525 | − | 0.946432i | |||||
10.0220 | 0.490778 | |||||||||
−4.16544 | − | 5.59325i | −0.203738 | − | 0.273575i | |||||
17.2949 | − | 17.2949i | 0.844910 | − | 0.844910i | −0.144583 | − | 0.989493i | ||
0.989493 | + | 0.144583i | ||||||||
0 | 0 | |||||||||
18.2430 | + | 18.2430i | 0.889111 | + | 0.889111i | 0.994438 | − | 0.105327i | ||
−0.105327 | + | 0.994438i | ||||||||
−17.2073 | − | 2.51762i | −0.837637 | − | 0.122556i | |||||
− | 22.7472i | − | 1.10601i | |||||||
9.77617 | + | 4.55287i | 0.474773 | + | 0.221107i | |||||
− | 20.8196i | − | 1.00990i | |||||||
1.69894 | − | 11.6118i | 0.0823138 | − | 0.562593i | |||||
0 | 0 | |||||||||
−0.667549 | + | 0.360221i | −0.0322672 | + | 0.0174119i | |||||
9.37906 | − | 9.37906i | 0.452825 | − | 0.452825i | |||||
−15.3196 | + | 11.4089i | −0.738777 | + | 0.550187i | |||||
33.6195 | 1.61940 | 0.809698 | − | 0.586846i | ||||||
0.809698 | + | 0.586846i | ||||||||
3.69760 | + | 17.8486i | 0.177901 | + | 0.858742i | |||||
−26.5511 | −1.27596 | −0.637982 | − | 0.770051i | ||||||
−0.637982 | + | 0.770051i | ||||||||
0 | 0 | |||||||||
14.5172 | − | 14.5172i | 0.696046 | − | 0.696046i | |||||
9.49509 | + | 17.5960i | 0.454732 | + | 0.842695i | |||||
−7.23124 | − | 7.23124i | −0.345917 | − | 0.345917i | |||||
−0.203330 | + | 1.38971i | −0.00971550 | + | 0.0664028i | |||||
19.6106i | 0.935962i | 0.883739 | + | 0.467981i | ||||||
−0.883739 | + | 0.467981i | ||||||||
−9.42675 | − | 25.8603i | −0.449403 | − | 1.23284i | |||||
0 | 0 | |||||||||
−26.1484 | − | 3.82581i | −1.24375 | − | 0.181975i | |||||
4.82383 | + | 4.82383i | 0.229187 | + | 0.229187i | 0.812353 | − | 0.583166i | ||
−0.583166 | + | 0.812353i | ||||||||
2.87132 | − | 9.60229i | 0.136267 | − | 0.455704i | |||||
−10.0757 | + | 10.0757i | −0.477633 | + | 0.477633i | |||||
−18.5396 | − | 24.8945i | −0.877875 | − | 1.17879i | |||||
10.2072 | 0.482786 | |||||||||
0 | 0 | |||||||||
6.32412 | 0.298454 | 0.149227 | − | 0.988803i | ||||||
0.149227 | + | 0.988803i | ||||||||
−10.8562 | − | 14.5774i | −0.511766 | − | 0.687187i | |||||
−7.80088 | + | 7.80088i | −0.367329 | + | 0.367329i | |||||
−1.50130 | + | 5.02065i | −0.0706151 | + | 0.236152i | |||||
12.0451 | + | 12.0451i | 0.565927 | + | 0.565927i | |||||
34.5197 | + | 5.05063i | 1.62009 | + | 0.237038i | |||||
0 | 0 | |||||||||
−1.39652 | − | 3.83107i | −0.0653981 | − | 0.179406i | |||||
− | 39.4984i | − | 1.84766i | −0.382805 | − | 0.923829i | ||||
0.382805 | − | 0.923829i | ||||||||
−1.94794 | + | 13.3136i | −0.0910211 | + | 0.622104i | |||||
11.7196 | + | 11.7196i | 0.547023 | + | 0.547023i | |||||
−19.1676 | − | 35.5208i | −0.893696 | − | 1.65617i | |||||
1.26773 | − | 1.26773i | 0.0590440 | − | 0.0590440i | −0.676968 | − | 0.736012i | ||
0.736012 | + | 0.676968i | ||||||||
0 | 0 | |||||||||
−14.4427 | −0.671208 | −0.335604 | − | 0.942003i | ||||||
−0.335604 | + | 0.942003i | ||||||||
−28.2648 | + | 5.85548i | −1.31216 | + | 0.271834i | |||||
−5.73334 | −0.265877 | |||||||||
−25.2227 | + | 18.7840i | −1.16842 | + | 0.870153i | |||||
12.2835 | − | 12.2835i | 0.568412 | − | 0.568412i | −0.363271 | − | 0.931683i | ||
0.931683 | + | 0.363271i | ||||||||
−20.3035 | + | 10.9561i | −0.938528 | + | 0.506446i | |||||
0 | 0 | |||||||||
−6.79269 | + | 46.4262i | −0.313323 | + | 2.14148i | |||||
4.69806i | 0.216475i | |||||||||
9.68827 | + | 4.51193i | 0.445939 | + | 0.207679i | |||||
12.2563i | 0.563547i | |||||||||
0.293456 | + | 0.0429361i | 0.0134789 | + | 0.00197212i | |||||
6.71680 | + | 6.71680i | 0.308188 | + | 0.308188i | |||||
0 | 0 | |||||||||
6.05337 | − | 6.05337i | 0.277165 | − | 0.277165i | |||||
12.6349 | + | 16.9658i | 0.577907 | + | 0.775999i | |||||
4.78688 | 0.218718 | 0.109359 | − | 0.994002i | ||||||
0.109359 | + | 0.994002i | ||||||||
−0.948901 | − | 16.0659i | −0.0433112 | − | 0.733305i | |||||
29.6353 | 1.35125 | |||||||||
20.5684 | + | 27.6187i | 0.936863 | + | 1.25800i | |||||
0 | 0 | |||||||||
4.15666 | + | 1.24294i | 0.188939 | + | 0.0564974i | |||||
15.7503 | + | 15.7503i | 0.715184 | + | 0.715184i | |||||
22.5054 | + | 3.29279i | 1.02086 | + | 0.149364i | |||||
26.8699i | 1.21759i | 0.793328 | + | 0.608795i | ||||||
−0.793328 | + | 0.608795i | ||||||||
8.09377 | − | 17.3794i | 0.366388 | − | 0.786728i | |||||
9.79948i | 0.443148i | |||||||||
0 | 0 | |||||||||
−11.7576 | − | 11.7576i | −0.530611 | − | 0.530611i | 0.390143 | − | 0.920754i | ||
−0.920754 | + | 0.390143i | ||||||||
−5.67674 | + | 3.06327i | −0.255927 | + | 0.138103i | |||||
−18.5590 | + | 18.5590i | −0.835854 | + | 0.835854i | |||||
9.67025 | − | 7.20169i | 0.435085 | − | 0.324019i | |||||
−21.8496 | −0.982068 | |||||||||
6.73764 | + | 4.42511i | 0.302529 | + | 0.198693i | |||||
0 | 0 | |||||||||
−0.639893 | + | 0.476545i | −0.0286743 | + | 0.0213545i | |||||
−13.9362 | + | 13.9362i | −0.623868 | + | 0.623868i | −0.946518 | − | 0.322650i | ||
0.322650 | + | 0.946518i | ||||||||
2.25249 | + | 4.17424i | 0.100734 | + | 0.186677i | |||||
−13.3988 | − | 13.3988i | −0.598614 | − | 0.598614i | |||||
−1.01487 | + | 6.93633i | −0.0452957 | + | 0.309584i | |||||
− | 23.6387i | − | 1.05400i | −0.849866 | − | 0.526999i | ||||
0.849866 | − | 0.526999i | ||||||||
0 | 0 | |||||||||
− | 10.4311i | − | 0.464176i | |||||||
−25.6259 | − | 3.74937i | −1.13921 | − | 0.166680i | |||||
8.22952 | + | 8.22952i | 0.365486 | + | 0.365486i | |||||
7.38228 | − | 24.6879i | 0.327536 | − | 1.09535i | |||||
−24.0695 | + | 24.0695i | −1.06686 | + | 1.06686i | −0.0692630 | + | 0.997598i | ||
−0.997598 | + | 0.0692630i | ||||||||
−8.74065 | − | 11.7367i | −0.387043 | − | 0.519711i | |||||
0 | 0 | |||||||||
−11.2849 | + | 19.6125i | −0.498726 | + | 0.866760i | |||||
−7.56192 | −0.333867 | |||||||||
−5.48803 | − | 7.36919i | −0.242067 | − | 0.325041i | |||||
8.70490 | − | 8.70490i | 0.383584 | − | 0.383584i | |||||
−2.05308 | + | 6.86593i | −0.0903818 | + | 0.302256i | |||||
21.2887 | + | 21.2887i | 0.936274 | + | 0.936274i | |||||
0 | 0 | |||||||||
19.7318i | 0.866131i | |||||||||
44.7103 | − | 16.2980i | 1.96068 | − | 0.714716i | |||||
− | 17.6401i | − | 0.772828i | −0.922325 | − | 0.386414i | ||||
0.922325 | − | 0.386414i | ||||||||
−3.31718 | + | 22.6720i | −0.145189 | + | 0.992327i | |||||
−10.1679 | − | 10.1679i | −0.444612 | − | 0.444612i | 0.448946 | − | 0.893559i | ||
−0.893559 | + | 0.448946i | ||||||||
−8.82537 | − | 16.3549i | −0.385538 | − | 0.714466i | |||||
0 | 0 | |||||||||
28.0567 | − | 20.8946i | 1.22333 | − | 0.911046i | |||||
7.32957 | 0.319281 | |||||||||
−8.63155 | − | 5.66899i | −0.375640 | − | 0.246711i | |||||
−14.9778 | −0.651209 | |||||||||
−14.1623 | + | 10.5471i | −0.615172 | + | 0.458135i | |||||
5.99894 | − | 5.99894i | 0.260332 | − | 0.260332i | |||||
0 | 0 | |||||||||
−13.4870 | − | 13.4870i | −0.584189 | − | 0.584189i | |||||
−0.773936 | + | 5.28964i | −0.0334915 | + | 0.228905i | |||||
− | 1.24202i | − | 0.0536974i | |||||||
7.27374 | − | 15.6186i | 0.314178 | − | 0.674620i | |||||
− | 18.7020i | − | 0.807053i | |||||||
2.09689 | + | 0.306800i | 0.0904035 | + | 0.0132271i | |||||
0 | 0 | |||||||||
−28.5947 | − | 8.55050i | −1.23052 | − | 0.367955i | |||||
21.0200 | − | 21.0200i | 0.903721 | − | 0.903721i | −0.0920350 | − | 0.995756i | ||
0.995756 | + | 0.0920350i | ||||||||
6.21904 | + | 8.35077i | 0.267131 | + | 0.358696i | |||||
−14.5572 | −0.624710 | |||||||||
1.21309 | + | 20.5389i | 0.0520107 | + | 0.880597i | |||||
−32.7386 | −1.40237 | |||||||||
0 | 0 | |||||||||
27.6503 | − | 27.6503i | 1.18224 | − | 1.18224i | 0.203076 | − | 0.979163i | ||
0.979163 | − | 0.203076i | ||||||||
22.6153 | + | 6.76252i | 0.966077 | + | 0.288880i | |||||
−10.7613 | − | 10.7613i | −0.459279 | − | 0.459279i | |||||
23.8029 | + | 3.48263i | 1.01496 | + | 0.148500i | |||||
− | 11.9750i | − | 0.510150i | |||||||
−13.7274 | − | 6.39301i | −0.584277 | − | 0.272105i | |||||
0 | 0 | |||||||||
0.927205 | − | 6.33720i | 0.0393932 | − | 0.269242i | |||||
11.6040 | + | 11.6040i | 0.492564 | + | 0.492564i | |||||
20.3042 | − | 10.9565i | 0.861089 | − | 0.464658i | |||||
4.65226 | − | 4.65226i | 0.197123 | − | 0.197123i | −0.601643 | − | 0.798765i | ||
0.798765 | + | 0.601643i | ||||||||
5.13201 | − | 3.82194i | 0.217255 | − | 0.161796i | |||||
−21.1901 | −0.896247 | |||||||||
0 | 0 | |||||||||
−9.38988 | −0.396441 | |||||||||
−11.0347 | + | 8.21783i | −0.465471 | + | 0.346648i | |||||
18.8252 | − | 18.8252i | 0.793386 | − | 0.793386i | −0.188657 | − | 0.982043i | ||
0.982043 | + | 0.188657i | ||||||||
8.35968 | + | 15.4919i | 0.352006 | + | 0.652326i | |||||
−6.06728 | − | 6.06728i | −0.255253 | − | 0.255253i | |||||
0.823582 | − | 5.62896i | 0.0346178 | − | 0.236603i | |||||
0 | 0 | |||||||||
−9.25253 | − | 25.3824i | −0.388228 | − | 1.06502i | |||||
2.54263i | 0.106593i | 0.998579 | + | 0.0532963i | ||||||
−0.998579 | + | 0.0532963i | ||||||||
6.60639 | + | 0.966592i | 0.276711 | + | 0.0404861i | |||||
−28.3705 | − | 28.3705i | −1.18727 | − | 1.18727i | −0.977819 | − | 0.209450i | ||
−0.209450 | − | 0.977819i | ||||||||
8.74803 | − | 29.2552i | 0.365773 | − | 1.22322i | |||||
−4.84569 | + | 4.84569i | −0.202431 | + | 0.202431i | |||||
0 | 0 | |||||||||
35.2760 | 1.47111 | |||||||||
11.5592 | + | 13.7483i | 0.481633 | + | 0.572847i | |||||
−34.7511 | −1.44671 | −0.723354 | − | 0.690478i | ||||||
−0.723354 | + | 0.690478i | ||||||||
−3.18565 | − | 4.27760i | −0.132505 | − | 0.177925i | |||||
−15.2845 | + | 15.2845i | −0.635204 | + | 0.635204i | |||||
13.5405 | − | 45.2821i | 0.562237 | − | 1.88024i | |||||
0 | 0 | |||||||||
8.26877 | + | 1.20982i | 0.342751 | + | 0.0501485i | |||||
11.3305i | 0.469260i | |||||||||
1.10735 | + | 3.03779i | 0.0458225 | + | 0.125705i | |||||
− | 37.7761i | − | 1.56185i | |||||||
0.544717 | − | 3.72299i | 0.0225020 | − | 0.153795i | |||||
−20.1643 | − | 20.1643i | −0.832268 | − | 0.832268i | 0.155559 | − | 0.987827i | ||
−0.987827 | + | 0.155559i | ||||||||
0 | 0 | |||||||||
−2.36466 | + | 2.36466i | −0.0974341 | + | 0.0974341i | |||||
−14.0350 | + | 10.4522i | −0.577811 | + | 0.430311i | |||||
9.52684 | 0.391882 | |||||||||
−4.68046 | − | 22.5929i | −0.192366 | − | 0.928564i | |||||
−8.40923 | −0.345326 | −0.172663 | − | 0.984981i | ||||||
−0.172663 | + | 0.984981i | ||||||||
−15.3593 | + | 11.4385i | −0.630199 | + | 0.469326i | |||||
0 | 0 | |||||||||
20.6795 | − | 11.1590i | 0.847065 | − | 0.457091i | |||||
−7.03213 | − | 7.03213i | −0.287806 | − | 0.287806i | |||||
6.48233 | − | 44.3049i | 0.265082 | − | 1.81176i | |||||
− | 3.56073i | − | 0.145488i | −0.997351 | − | 0.0727438i | ||||
0.997351 | − | 0.0727438i | ||||||||
12.7508 | + | 5.93821i | 0.520551 | + | 0.242426i | |||||
45.3712i | 1.85073i | 0.379076 | + | 0.925365i | ||||||
−0.379076 | + | 0.925365i | ||||||||
0 | 0 | |||||||||
−9.67096 | − | 9.67096i | −0.393832 | − | 0.393832i | |||||
37.5711 | + | 11.2347i | 1.52875 | + | 0.457132i | |||||
−5.02318 | + | 5.02318i | −0.204221 | + | 0.204221i | |||||
−2.33749 | − | 3.13872i | −0.0949540 | − | 0.127502i | |||||
4.90180 | 0.198958 | 0.0994789 | − | 0.995040i | ||||||
0.0994789 | + | 0.995040i | ||||||||
−7.01759 | − | 6.23486i | −0.284601 | − | 0.252857i | |||||
0 | 0 | |||||||||
18.7498 | + | 25.1768i | 0.759158 | + | 1.01938i | |||||
−36.8062 | + | 36.8062i | −1.48902 | + | 1.48902i | |||||
15.6478 | + | 4.67908i | 0.632526 | + | 0.189141i | |||||
−5.64844 | − | 5.64844i | −0.228138 | − | 0.228138i | 0.583776 | − | 0.811915i | ||
−0.811915 | + | 0.583776i | ||||||||
−7.89548 | − | 1.15520i | −0.318635 | − | 0.0466201i | |||||
− | 10.5620i | − | 0.425901i | |||||||
0 | 0 | |||||||||
40.2966i | 1.62228i | 0.584852 | + | 0.811140i | ||||||
−0.584852 | + | 0.811140i | ||||||||
0.668643 | − | 4.57000i | 0.0268968 | − | 0.183832i | |||||
−14.2321 | − | 14.2321i | −0.572038 | − | 0.572038i | 0.360660 | − | 0.932698i | ||
−0.932698 | + | 0.360660i | ||||||||
−11.6155 | + | 6.26794i | −0.466491 | + | 0.251726i | |||||
−19.8573 | + | 19.8573i | −0.796844 | + | 0.796844i | |||||
−0.916568 | + | 0.682592i | −0.0367510 | + | 0.0273695i | |||||
0 | 0 | |||||||||
9.80118 | − | 14.9232i | 0.392361 | − | 0.597406i | |||||
20.8545 | 0.834181 | |||||||||
−26.4226 | + | 19.6776i | −1.05606 | + | 0.786476i | |||||
3.02935 | − | 3.02935i | 0.120981 | − | 0.120981i | |||||
5.13613 | + | 9.51810i | 0.204954 | + | 0.379814i | |||||
−14.8348 | − | 14.8348i | −0.591500 | − | 0.591500i | |||||
0 | 0 | |||||||||
15.2886i | 0.608631i | 0.952571 | + | 0.304315i | ||||||
−0.952571 | + | 0.304315i | ||||||||
0.641472 | − | 0.233833i | 0.0255164 | − | 0.00930137i | |||||
− | 10.6832i | − | 0.424618i | |||||||
−4.36953 | − | 0.639313i | −0.173536 | − | 0.0253904i | |||||
29.8345 | + | 29.8345i | 1.18394 | + | 1.18394i | |||||
−1.89798 | + | 6.34725i | −0.0752599 | + | 0.251685i | |||||
0 | 0 | |||||||||
−18.1138 | − | 24.3228i | −0.717133 | − | 0.962948i | |||||
−21.4458 | −0.848384 | |||||||||
−19.4864 | − | 31.5116i | −0.770267 | − | 1.24560i | |||||
−12.3673 | −0.488480 | −0.244240 | − | 0.969715i | ||||||
−0.244240 | + | 0.969715i | ||||||||
−0.278324 | − | 0.373727i | −0.0109846 | − | 0.0147498i | |||||
29.2082 | − | 29.2082i | 1.15186 | − | 1.15186i | 0.165677 | − | 0.986180i | ||
0.986180 | − | 0.165677i | ||||||||
0 | 0 | |||||||||
−8.29724 | − | 8.29724i | −0.326703 | − | 0.326703i | |||||
−8.44570 | − | 1.23570i | −0.332292 | − | 0.0486181i | |||||
14.3708i | 0.564975i | 0.959271 | + | 0.282487i | ||||||
−0.959271 | + | 0.282487i | ||||||||
7.37911 | − | 2.68987i | 0.289879 | − | 0.105668i | |||||
11.2286i | 0.440760i | |||||||||
−6.02117 | + | 41.1531i | −0.236170 | + | 1.61416i | |||||
0 | 0 | |||||||||
10.7132 | + | 19.8534i | 0.419563 | + | 0.777519i | |||||
10.3709 | − | 10.3709i | 0.405844 | − | 0.405844i | −0.474442 | − | 0.880287i | ||
0.880287 | + | 0.474442i | ||||||||
−9.85111 | + | 7.33638i | −0.385209 | + | 0.286875i | |||||
30.4295 | 1.18898 | |||||||||
−8.15198 | + | 12.4121i | −0.318281 | + | 0.484613i | |||||
2.56666 | 0.100135 | |||||||||
0 | 0 | |||||||||
−30.0445 | + | 30.0445i | −1.17037 | + | 1.17037i | −0.188248 | + | 0.982122i | ||
−0.982122 | + | 0.188248i | ||||||||
14.8806 | − | 8.02982i | 0.579226 | − | 0.312560i | |||||
1.95989 | + | 1.95989i | 0.0762309 | + | 0.0762309i | 0.744194 | − | 0.667963i | ||
−0.667963 | + | 0.744194i | ||||||||
3.22521 | − | 22.0434i | 0.125351 | − | 0.856742i | |||||
− | 16.2343i | − | 0.630487i | |||||||
−0.775420 | + | 1.66502i | −0.0300921 | + | 0.0646154i | |||||
0 | 0 | |||||||||
−18.1224 | − | 2.65152i | −0.702230 | − | 0.102744i | |||||
−31.4457 | − | 31.4457i | −1.21758 | − | 1.21758i | |||||
−41.7936 | − | 12.4973i | −1.61704 | − | 0.483535i | |||||
13.4831 | − | 13.4831i | 0.521286 | − | 0.521286i | |||||
16.8502 | + | 22.6260i | 0.650978 | + | 0.874118i | |||||
20.1425 | 0.777592 | |||||||||
0 | 0 | |||||||||
−4.79538 | −0.184848 | −0.0924242 | − | 0.995720i | ||||||
−0.0924242 | + | 0.995720i | ||||||||
−4.52811 | − | 6.08024i | −0.174416 | − | 0.234202i | |||||
18.4446 | − | 18.4446i | 0.709933 | − | 0.709933i | |||||
25.6696 | + | 7.67583i | 0.987292 | + | 0.295224i | |||||
−35.1646 | − | 35.1646i | −1.35149 | − | 1.35149i | −0.884000 | − | 0.467486i | ||
−0.467486 | − | 0.884000i | ||||||||
−3.18527 | − | 0.466042i | −0.122330 | − | 0.0178982i | |||||
0 | 0 | |||||||||
−30.5394 | − | 14.2225i | −1.17113 | − | 0.545409i | |||||
21.4316i | 0.821262i | |||||||||
−1.22607 | + | 8.37983i | −0.0469485 | + | 0.320880i | |||||
−2.91144 | − | 2.91144i | −0.111403 | − | 0.111403i | 0.649208 | − | 0.760611i | ||
−0.760611 | + | 0.649208i | ||||||||
−6.55785 | + | 3.53873i | −0.250746 | + | 0.135307i | |||||
−27.3298 | + | 27.3298i | −1.04422 | + | 1.04422i | |||||
0 | 0 | |||||||||
−8.26579 | −0.315360 | |||||||||
3.34667 | + | 16.1546i | 0.127591 | + | 0.615890i | |||||
−19.5894 | −0.746296 | |||||||||
19.8863 | − | 14.8099i | 0.757059 | − | 0.563802i | |||||
−25.1130 | + | 25.1130i | −0.955342 | + | 0.955342i | −0.999045 | − | 0.0437029i | ||
0.0437029 | + | 0.999045i | ||||||||
21.5717 | + | 39.9759i | 0.820033 | + | 1.51966i | |||||
0 | 0 | |||||||||
3.39951 | − | 23.2347i | 0.129043 | − | 0.881977i | |||||
37.7774i | 1.43298i | |||||||||
−6.07290 | − | 16.6597i | −0.230193 | − | 0.631486i | |||||
13.5026i | 0.511448i | |||||||||
44.0904 | + | 6.45093i | 1.66885 | + | 0.244171i | |||||
−13.6608 | − | 13.6608i | −0.516701 | − | 0.516701i | |||||
0 | 0 | |||||||||
15.7687 | − | 15.7687i | 0.595575 | − | 0.595575i | −0.343557 | − | 0.939132i | ||
0.939132 | + | 0.343557i | ||||||||
−19.7761 | − | 26.5549i | −0.746401 | − | 1.00225i | |||||
9.57195 | 0.361013 | |||||||||
−23.6848 | − | 2.04876i | −0.892655 | − | 0.0772156i | |||||
−28.8238 | −1.08557 | |||||||||
−11.5617 | − | 15.5248i | −0.435131 | − | 0.584283i | |||||
0 | 0 | |||||||||
−1.88092 | + | 6.29018i | −0.0706892 | + | 0.236400i | |||||
−8.16940 | − | 8.16940i | −0.306808 | − | 0.306808i | 0.536862 | − | 0.843670i | ||
−0.843670 | + | 0.536862i | ||||||||
43.7701 | + | 6.40407i | 1.64266 | + | 0.240341i | |||||
− | 0.541985i | − | 0.0203260i | |||||||
4.21491 | + | 11.5627i | 0.157960 | + | 0.433331i | |||||
12.4190i | 0.465095i | |||||||||
0 | 0 | |||||||||
35.3539 | + | 35.3539i | 1.32216 | + | 1.32216i | |||||
−20.4459 | − | 37.8897i | −0.764100 | − | 1.41600i | |||||
−9.18884 | + | 9.18884i | −0.343163 | + | 0.343163i | |||||
−7.17099 | + | 5.34043i | −0.267619 | + | 0.199303i | |||||
−28.8526 | −1.07602 | −0.538011 | − | 0.842938i | ||||||
−0.538011 | + | 0.842938i | ||||||||
−28.7992 | + | 5.96618i | −1.07328 | + | 0.222347i | |||||
0 | 0 | |||||||||
−18.4271 | + | 13.7231i | −0.685784 | + | 0.510722i | |||||
−14.9585 | + | 14.9585i | −0.556313 | + | 0.556313i | |||||
−29.4924 | + | 15.9146i | −1.09608 | + | 0.591461i | |||||
29.2086 | + | 29.2086i | 1.08478 | + | 1.08478i | |||||
−0.385842 | + | 2.63713i | −0.0143199 | + | 0.0978729i | |||||
− | 19.1342i | − | 0.709648i | −0.934933 | − | 0.354824i | ||||
0.934933 | − | 0.354824i | ||||||||
0 | 0 | |||||||||
5.64199i | 0.208963i | |||||||||
−5.23845 | − | 0.766445i | −0.193884 | − | 0.0283674i | |||||
10.6073 | + | 10.6073i | 0.392325 | + | 0.392325i | |||||
11.2837 | + | 3.37410i | 0.417058 | + | 0.124710i | |||||
8.17266 | − | 8.17266i | 0.301864 | − | 0.301864i | −0.539879 | − | 0.841743i | ||
0.841743 | + | 0.539879i | ||||||||
31.4504 | + | 42.2308i | 1.16085 | + | 1.55877i | |||||
0 | 0 | |||||||||
−34.8004 | + | 2.05541i | −1.28276 | + | 0.0757636i | |||||
18.1017 | 0.666786 | |||||||||
7.04082 | + | 9.45423i | 0.259176 | + | 0.348015i | |||||
−5.86541 | + | 5.86541i | −0.215763 | + | 0.215763i | −0.806710 | − | 0.590947i | ||
0.590947 | + | 0.806710i | ||||||||
36.1954 | + | 10.8233i | 1.33057 | + | 0.397873i | |||||
5.23749 | + | 5.23749i | 0.192404 | + | 0.192404i | |||||
0 | 0 | |||||||||
− | 9.24326i | − | 0.339102i | −0.985521 | − | 0.169551i | ||||
0.985521 | − | 0.169551i | ||||||||
−2.09055 | + | 4.48895i | −0.0766434 | + | 0.164573i | |||||
38.4757i | 1.40964i | |||||||||
−0.885006 | + | 6.04878i | −0.0324024 | + | 0.221462i | |||||
1.03098 | + | 1.03098i | 0.0377214 | + | 0.0377214i | |||||
−19.0236 | + | 10.2654i | −0.695570 | + | 0.375341i | |||||
0 | 0 | |||||||||
−2.33695 | + | 1.74038i | −0.0853332 | + | 0.0635499i | |||||
−20.6757 | −0.754467 | −0.377234 | − | 0.926118i | ||||||
−0.377234 | + | 0.926118i | ||||||||
33.8728 | + | 22.2468i | 1.23522 | + | 0.811258i | |||||
−4.30644 | −0.156935 | |||||||||
42.0520 | − | 31.3172i | 1.53144 | − | 1.14051i | |||||
−45.4034 | + | 45.4034i | −1.65240 | + | 1.65240i | |||||
0 | 0 | |||||||||
19.3612 | + | 19.3612i | 0.703694 | + | 0.703694i | 0.965201 | − | 0.261508i | ||
−0.261508 | + | 0.965201i | ||||||||
3.33314 | − | 22.7811i | 0.121065 | − | 0.827447i | |||||
− | 15.9099i | − | 0.577493i | |||||||
14.4410 | − | 5.26412i | 0.523831 | − | 0.190950i | |||||
17.6413i | 0.639497i | 0.947502 | + | 0.319748i | ||||||
−0.947502 | + | 0.319748i | ||||||||
15.6628 | + | 2.29165i | 0.567404 | + | 0.0830178i | |||||
0 | 0 | |||||||||
−4.51966 | + | 15.1147i | −0.163516 | + | 0.546831i | |||||
−18.9099 | + | 18.9099i | −0.683687 | + | 0.683687i | |||||
16.6630 | + | 22.3747i | 0.602060 | + | 0.808431i | |||||
−19.4132 | −0.700971 | |||||||||
−12.9249 | − | 5.11518i | −0.466387 | − | 0.184578i | |||||
33.4127 | 1.20489 | 0.602447 | − | 0.798159i | ||||||
0.602447 | + | 0.798159i | ||||||||
0 | 0 | |||||||||
3.99122 | − | 3.99122i | 0.143740 | − | 0.143740i | |||||
−14.2562 | + | 47.6757i | −0.513091 | + | 1.71589i | |||||
9.47365 | + | 9.47365i | 0.340744 | + | 0.340744i | 0.856647 | − | 0.515903i | ||
−0.515903 | + | 0.856647i | ||||||||
12.9581 | + | 1.89592i | 0.465769 | + | 0.0681474i | |||||
− | 11.5355i | − | 0.414367i | |||||||
18.0748 | − | 6.58874i | 0.648849 | − | 0.236522i | |||||
0 | 0 | |||||||||
1.21574 | − | 8.30927i | 0.0435865 | − | 0.297902i | |||||
−4.35620 | − | 4.35620i | −0.156077 | − | 0.156077i | |||||
13.8829 | + | 25.7273i | 0.497086 | + | 0.921184i | |||||
20.0707 | − | 20.0707i | 0.718187 | − | 0.718187i | |||||
−25.4229 | + | 18.9331i | −0.909123 | + | 0.677048i | |||||
−32.8837 | −1.17517 | |||||||||
0 | 0 | |||||||||
−17.7091 | −0.632066 | |||||||||
9.15628 | − | 6.81892i | 0.326594 | − | 0.243223i | |||||
6.81141 | − | 6.81141i | 0.242801 | − | 0.242801i | −0.575207 | − | 0.818008i | ||
0.818008 | + | 0.575207i | ||||||||
19.3010 | − | 10.4152i | 0.687571 | − | 0.371025i | |||||
15.1958 | + | 15.1958i | 0.540983 | + | 0.540983i | |||||
−0.161846 | + | 1.10617i | −0.00575821 | + | 0.0393558i | |||||
0 | 0 | |||||||||
−7.96706 | + | 17.1073i | −0.283097 | + | 0.607882i | |||||
34.8246i | 1.23666i | |||||||||
35.7834 | + | 5.23553i | 1.26991 | + | 0.185802i | |||||
−7.67044 | − | 7.67044i | −0.272042 | − | 0.272042i | |||||
−21.9347 | − | 6.55901i | −0.777455 | − | 0.232478i | |||||
−3.47475 | + | 3.47475i | −0.123082 | + | 0.123082i | −0.765965 | − | 0.642883i | ||
0.642883 | + | 0.765965i | ||||||||
0 | 0 | |||||||||
36.8487 | 1.30361 | |||||||||
32.3246 | − | 1.90919i | 1.14285 | − | 0.0675001i | |||||
9.76945 | 0.345186 | |||||||||
3.04338 | + | 4.08658i | 0.107466 | + | 0.144302i | |||||
−2.40208 | + | 2.40208i | −0.0847677 | + | 0.0847677i | |||||
10.1405 | + | 3.03225i | 0.357627 | + | 0.106939i | |||||
0 | 0 | |||||||||
−14.4880 | − | 2.11976i | −0.510318 | − | 0.0746654i | |||||
1.30186i | 0.0458277i | |||||||||
−8.16706 | − | 3.80349i | −0.287316 | − | 0.133806i | |||||
44.9480i | 1.58029i | 0.612921 | + | 0.790144i | ||||||
−0.612921 | + | 0.790144i | ||||||||
−1.86178 | + | 12.7247i | −0.0654161 | + | 0.447101i | |||||
23.3543 | + | 23.3543i | 0.820080 | + | 0.820080i | 0.986119 | − | 0.166039i | ||
−0.166039 | + | 0.986119i | ||||||||
0 | 0 | |||||||||
−4.52285 | + | 4.52285i | −0.158623 | + | 0.158623i | |||||
19.4419 | − | 14.4789i | 0.681439 | − | 0.507486i | |||||
−36.9387 | −1.29391 | |||||||||
−12.3765 | + | 2.56397i | −0.433263 | + | 0.0897568i | |||||
−6.84423 | −0.239449 | |||||||||
−17.3900 | + | 12.9508i | −0.608026 | + | 0.452813i | |||||
0 | 0 | |||||||||
−11.5468 | − | 21.3982i | −0.403233 | − | 0.747259i | |||||
−22.7441 | − | 22.7441i | −0.793774 | − | 0.793774i | 0.188332 | − | 0.982105i | ||
−0.982105 | + | 0.188332i | ||||||||
−2.09926 | + | 14.3479i | −0.0732202 | + | 0.500440i | |||||
6.46922i | 0.225503i | 0.993623 | + | 0.112751i | ||||||
−0.993623 | + | 0.112751i | ||||||||
−3.64148 | − | 9.98964i | −0.126857 | − | 0.348006i | |||||
14.7781i | 0.514506i | |||||||||
0 | 0 | |||||||||
0.313180 | + | 0.313180i | 0.0108903 | + | 0.0108903i | 0.712531 | − | 0.701641i | ||
−0.701641 | + | 0.712531i | ||||||||
−7.92808 | + | 26.5132i | −0.275520 | + | 0.921396i | |||||
−20.1834 | + | 20.1834i | −0.700998 | + | 0.700998i | −0.964625 | − | 0.263627i | ||
0.263627 | + | 0.964625i | ||||||||
−1.79632 | − | 2.41205i | −0.0623510 | − | 0.0837234i | |||||
3.93446 | 0.136485 | |||||||||
3.54213 | − | 40.9490i | 0.122801 | − | 1.41965i | |||||
0 | 0 | |||||||||
8.46552 | + | 11.3673i | 0.293137 | + | 0.393617i | |||||
50.5061 | − | 50.5061i | 1.74784 | − | 1.74784i | |||||
2.82554 | − | 9.44919i | 0.0977232 | − | 0.326807i | |||||
6.49345 | + | 6.49345i | 0.224446 | + | 0.224446i | |||||
34.2253 | + | 5.00756i | 1.18229 | + | 0.172983i | |||||
49.1079i | 1.69539i | 0.530482 | + | 0.847696i | ||||||
−0.530482 | + | 0.847696i | ||||||||
0 | 0 | |||||||||
− | 23.0742i | − | 0.795662i | |||||||
−5.28210 | + | 36.1017i | −0.182033 | + | 1.24415i | |||||
−5.97649 | − | 5.97649i | −0.205841 | − | 0.205841i | |||||
−11.6793 | − | 21.6437i | −0.402019 | − | 0.745008i | |||||
−31.0208 | + | 31.0208i | −1.06715 | + | 1.06715i | |||||
25.8007 | − | 19.2145i | 0.887046 | − | 0.660606i | |||||
0 | 0 | |||||||||
3.09385 | + | 14.9343i | 0.106243 | + | 0.512845i | |||||
3.49475 | 0.119940 | |||||||||
23.6143 | − | 17.5862i | 0.809965 | − | 0.603202i | |||||
25.1355 | − | 25.1355i | 0.861634 | − | 0.861634i | |||||
14.6056 | − | 7.88142i | 0.500379 | − | 0.270013i | |||||
−4.33966 | − | 4.33966i | −0.148587 | − | 0.148587i | 0.628899 | − | 0.777487i | ||
−0.777487 | + | 0.628899i | ||||||||
0 | 0 | |||||||||
− | 12.2014i | − | 0.417278i | |||||||
−0.972450 | − | 0.452881i | −0.0332377 | − | 0.0154791i | |||||
16.1733i | 0.552471i | 0.961090 | + | 0.276235i | ||||||
−0.961090 | + | 0.276235i | ||||||||
18.5605 | + | 2.71562i | 0.633645 | + | 0.0927096i | |||||
−31.4890 | − | 31.4890i | −1.07439 | − | 1.07439i | −0.997001 | − | 0.0773900i | ||
−0.0773900 | − | 0.997001i | ||||||||
−25.8808 | − | 7.73899i | −0.882528 | − | 0.263897i | |||||
0 | 0 | |||||||||
28.3983 | + | 38.1325i | 0.967249 | + | 1.29880i | |||||
5.70353 | 0.194150 | 0.0970752 | − | 0.995277i | ||||||
0.0970752 | + | 0.995277i | ||||||||
−17.1212 | + | 19.2706i | −0.582474 | + | 0.655599i | |||||
−74.3782 | −2.52893 | |||||||||
−22.4276 | − | 30.1152i | −0.762121 | − | 1.02336i | |||||
2.31679 | − | 2.31679i | 0.0786822 | − | 0.0786822i | |||||
0 | 0 | |||||||||
0.507233 | + | 0.507233i | 0.0172067 | + | 0.0172067i | |||||
28.7285 | + | 4.20331i | 0.973988 | + | 0.142506i | |||||
31.2963i | 1.06044i | |||||||||
−11.9375 | + | 25.6329i | −0.404256 | + | 0.868040i | |||||
− | 15.2716i | − | 0.516865i | |||||||
2.09374 | − | 14.3101i | 0.0708217 | − | 0.484047i | |||||
0 | 0 | |||||||||
−1.74801 | + | 0.943255i | −0.0590598 | + | 0.0318696i | |||||
11.1824 | − | 11.1824i | 0.377602 | − | 0.377602i | −0.492634 | − | 0.870236i | ||
0.870236 | + | 0.492634i | ||||||||
−22.2430 | + | 16.5650i | −0.750665 | + | 0.559040i | |||||
2.31143 | 0.0779625 | |||||||||
21.3690 | − | 32.5363i | 0.720349 | − | 1.09680i | |||||
−20.6047 | −0.694190 | −0.347095 | − | 0.937830i | ||||||
−0.347095 | + | 0.937830i | ||||||||
0 | 0 | |||||||||
3.92964 | − | 3.92964i | 0.132243 | − | 0.132243i | −0.637887 | − | 0.770130i | ||
0.770130 | + | 0.637887i | ||||||||
−17.7480 | − | 32.8901i | −0.596931 | − | 1.10621i | |||||
−7.60147 | − | 7.60147i | −0.255521 | − | 0.255521i | |||||
−1.39669 | + | 9.54603i | −0.0469229 | + | 0.320705i | |||||
− | 18.5762i | − | 0.623726i | −0.950127 | − | 0.311863i | ||||
0.950127 | − | 0.311863i | ||||||||
13.3166 | − | 4.85425i | 0.446877 | − | 0.162898i | |||||
0 | 0 | |||||||||
−19.9391 | − | 2.91732i | −0.668359 | − | 0.0977887i | |||||
5.83491 | + | 5.83491i | 0.195477 | + | 0.195477i | |||||
12.5759 | − | 42.0565i | 0.421073 | − | 1.40816i | |||||
−11.8881 | + | 11.8881i | −0.397820 | + | 0.397820i | |||||
8.62201 | + | 11.5774i | 0.288363 | + | 0.387207i | |||||
70.4965 | 2.35644 | |||||||||
0 | 0 | |||||||||
27.5068 | 0.918426 | |||||||||
5.34195 | + | 7.17304i | 0.178263 | + | 0.239367i | |||||
−10.2829 | + | 10.2829i | −0.342955 | + | 0.342955i | |||||
7.36407 | − | 24.6270i | 0.245469 | − | 0.820899i | |||||
9.80599 | + | 9.80599i | 0.326685 | + | 0.326685i | |||||
−15.4374 | − | 2.25867i | −0.514009 | − | 0.0752055i | |||||
0 | 0 | |||||||||
−6.96274 | + | 2.53810i | −0.231577 | + | 0.0844158i | |||||
− | 54.8727i | − | 1.82403i | |||||||
−3.48753 | + | 23.8364i | −0.115866 | + | 0.791910i | |||||
20.1706 | + | 20.1706i | 0.669753 | + | 0.669753i | 0.957659 | − | 0.287905i | ||
−0.287905 | + | 0.957659i | ||||||||
23.4300 | + | 43.4197i | 0.777552 | + | 1.44093i | |||||
−5.05701 | + | 5.05701i | −0.167730 | + | 0.167730i | |||||
0 | 0 | |||||||||
40.6520 | 1.34686 | 0.673431 | − | 0.739250i | ||||||
0.673431 | + | 0.739250i | ||||||||
3.16570 | − | 4.82007i | 0.104827 | − | 0.159608i | |||||
−1.92974 | −0.0638651 | |||||||||
44.8005 | − | 33.3641i | 1.48187 | − | 1.10359i | |||||
−13.6360 | + | 13.6360i | −0.450791 | + | 0.450791i | |||||
−16.7462 | + | 9.03653i | −0.553310 | + | 0.298575i | |||||
0 | 0 | |||||||||
−3.39329 | + | 23.1922i | −0.111995 | + | 0.765458i | |||||
− | 26.9677i | − | 0.889581i | −0.895635 | − | 0.444790i | ||||
0.895635 | − | 0.444790i | ||||||||
24.0982 | − | 51.7449i | 0.794493 | − | 1.70598i | |||||
− | 4.90192i | − | 0.161524i | |||||||
2.50875 | + | 0.367058i | 0.0826211 | + | 0.0120884i | |||||
34.7005 | + | 34.7005i | 1.14218 | + | 1.14218i | |||||
0 | 0 | |||||||||
−23.3473 | + | 23.3473i | −0.767656 | + | 0.767656i | |||||
−12.1997 | − | 16.3814i | −0.400905 | − | 0.538326i | |||||
−8.44033 | −0.277217 | |||||||||
−30.5167 | − | 27.1129i | −1.00176 | − | 0.890024i | |||||
−15.6320 | −0.512870 | −0.256435 | − | 0.966561i | ||||||
−0.256435 | + | 0.966561i | ||||||||
−4.84292 | − | 6.50295i | −0.158806 | − | 0.213240i | |||||
0 | 0 | |||||||||
−42.6110 | − | 12.7417i | −1.39577 | − | 0.417369i | |||||
−0.496421 | − | 0.496421i | −0.0162521 | − | 0.0162521i | |||||
24.3082 | + | 3.55657i | 0.795388 | + | 0.116374i | |||||
− | 35.3947i | − | 1.15753i | |||||||
−29.5770 | − | 13.7744i | −0.966756 | − | 0.450229i | |||||
− | 47.9244i | − | 1.56562i | −0.622260 | − | 0.782811i | ||||
0.622260 | − | 0.782811i | ||||||||
0 | 0 | |||||||||
−14.3107 | − | 14.3107i | −0.467013 | − | 0.467013i | |||||
−58.3960 | + | 31.5115i | −1.90467 | + | 1.02779i | |||||
−7.62070 | + | 7.62070i | −0.248428 | + | 0.248428i | −0.820325 | − | 0.571897i | ||
0.571897 | + | 0.820325i | ||||||||
−5.32871 | + | 3.96843i | −0.173619 | + | 0.129298i | |||||
−22.8784 | −0.745022 | |||||||||
3.06604 | + | 14.8000i | 0.0997910 | + | 0.481698i | |||||
0 | 0 | |||||||||
−13.9016 | + | 10.3529i | −0.451979 | + | 0.336601i | |||||
−19.6254 | + | 19.6254i | −0.637739 | + | 0.637739i | −0.949997 | − | 0.312258i | ||
0.312258 | + | 0.949997i | ||||||||
0.199182 | + | 0.369117i | 0.00646912 | + | 0.0119884i | |||||
−4.15299 | − | 4.15299i | −0.134812 | − | 0.134812i | |||||
−1.94479 | + | 13.2921i | −0.0630972 | + | 0.431252i | |||||
− | 2.71283i | − | 0.0879696i | |||||||
0 | 0 | |||||||||
− | 3.58597i | − | 0.116161i | −0.998312 | − | 0.0580805i | ||||
0.998312 | − | 0.0580805i | ||||||||
11.9792 | + | 1.75269i | 0.387841 | + | 0.0567456i | |||||
−18.2656 | − | 18.2656i | −0.591061 | − | 0.591061i | |||||
−8.57060 | + | 28.6619i | −0.277193 | + | 0.926992i | |||||
13.1734 | − | 13.1734i | 0.425836 | − | 0.425836i | |||||
4.04346 | + | 5.42945i | 0.130638 | + | 0.175418i | |||||
0 | 0 | |||||||||
17.4210 | − | 14.6471i | 0.562260 | − | 0.472732i | |||||
−26.9389 | −0.868997 | |||||||||
25.0328 | + | 33.6134i | 0.807090 | + | 1.08374i | |||||
−0.602137 | + | 0.602137i | −0.0194036 | + | 0.0194036i | |||||
−13.9521 | + | 46.6587i | −0.449367 | + | 1.50278i | |||||
−57.6144 | − | 57.6144i | −1.85467 | − | 1.85467i | |||||
0 | 0 | |||||||||
− | 51.9947i | − | 1.67204i | −0.548703 | − | 0.836018i | ||||
0.548703 | − | 0.836018i | ||||||||
2.10132 | + | 5.76454i | 0.0675390 | + | 0.185279i | |||||
− | 5.24354i | − | 0.168447i | |||||||
−4.56035 | + | 31.1688i | −0.146424 | + | 1.00077i | |||||
35.0803 | + | 35.0803i | 1.12578 | + | 1.12578i | 0.990856 | + | 0.134925i | ||
0.134925 | + | 0.990856i | ||||||||
15.2754 | + | 28.3078i | 0.489958 | + | 0.907973i | |||||
0 | 0 | |||||||||
−30.4768 | + | 22.6968i | −0.976538 | + | 0.727254i | |||||
−25.5500 | −0.818254 | |||||||||
26.5491 | − | 5.50004i | 0.849816 | − | 0.176052i | |||||
5.67083 | 0.181426 | 0.0907129 | − | 0.995877i | ||||||
0.0907129 | + | 0.995877i | ||||||||
−11.1149 | + | 8.27758i | −0.355416 | + | 0.264688i | |||||
−9.14303 | + | 9.14303i | −0.292213 | + | 0.292213i | |||||
0 | 0 | |||||||||
15.8718 | + | 15.8718i | 0.506748 | + | 0.506748i | |||||
3.40429 | − | 23.2674i | 0.108635 | − | 0.742492i | |||||
− | 46.7462i | − | 1.49097i | −0.666522 | − | 0.745486i | ||||
0.666522 | − | 0.745486i | ||||||||
−8.26958 | − | 3.85124i | −0.263625 | − | 0.122773i | |||||
35.9110i | 1.14422i | |||||||||
−36.7269 | − | 5.37357i | −1.16962 | − | 0.171129i | |||||
0 | 0 | |||||||||
16.3368 | + | 4.88511i | 0.519744 | + | 0.155416i | |||||
−17.9726 | + | 17.9726i | −0.571497 | + | 0.571497i | |||||
−18.4563 | − | 24.7826i | −0.586579 | − | 0.787644i | |||||
14.4138 | 0.457870 | 0.228935 | − | 0.973442i | ||||||
0.228935 | + | 0.973442i | ||||||||
0.672133 | + | 11.3799i | 0.0213403 | + | 0.361313i | |||||
13.6857 | 0.434303 | |||||||||
0 | 0 | |||||||||
26.5073 | − | 26.5073i | 0.840339 | − | 0.840339i | |||||
−1.08103 | − | 0.323254i | −0.0342537 | − | 0.0102427i | |||||
−40.2131 | − | 40.2131i | −1.27356 | − | 1.27356i | −0.944205 | − | 0.329357i | ||
−0.329357 | − | 0.944205i | ||||||||
−27.5787 | − | 4.03508i | −0.872988 | − | 0.127728i | |||||
− | 26.2849i | − | 0.831619i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 784.2.m.k.197.8 | 24 | ||
7.2 | even | 3 | 784.2.x.o.165.9 | 48 | |||
7.3 | odd | 6 | 112.2.w.c.37.1 | ✓ | 48 | ||
7.4 | even | 3 | 784.2.x.o.373.1 | 48 | |||
7.5 | odd | 6 | 112.2.w.c.53.9 | yes | 48 | ||
7.6 | odd | 2 | 784.2.m.j.197.8 | 24 | |||
16.13 | even | 4 | inner | 784.2.m.k.589.8 | 24 | ||
28.3 | even | 6 | 448.2.ba.c.177.8 | 48 | |||
28.19 | even | 6 | 448.2.ba.c.305.5 | 48 | |||
56.3 | even | 6 | 896.2.ba.e.737.5 | 48 | |||
56.5 | odd | 6 | 896.2.ba.f.865.5 | 48 | |||
56.19 | even | 6 | 896.2.ba.e.865.8 | 48 | |||
56.45 | odd | 6 | 896.2.ba.f.737.8 | 48 | |||
112.3 | even | 12 | 448.2.ba.c.401.5 | 48 | |||
112.5 | odd | 12 | 896.2.ba.f.417.8 | 48 | |||
112.13 | odd | 4 | 784.2.m.j.589.8 | 24 | |||
112.19 | even | 12 | 448.2.ba.c.81.8 | 48 | |||
112.45 | odd | 12 | 112.2.w.c.93.9 | yes | 48 | ||
112.59 | even | 12 | 896.2.ba.e.289.8 | 48 | |||
112.61 | odd | 12 | 112.2.w.c.109.1 | yes | 48 | ||
112.75 | even | 12 | 896.2.ba.e.417.5 | 48 | |||
112.93 | even | 12 | 784.2.x.o.557.1 | 48 | |||
112.101 | odd | 12 | 896.2.ba.f.289.5 | 48 | |||
112.109 | even | 12 | 784.2.x.o.765.9 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.w.c.37.1 | ✓ | 48 | 7.3 | odd | 6 | ||
112.2.w.c.53.9 | yes | 48 | 7.5 | odd | 6 | ||
112.2.w.c.93.9 | yes | 48 | 112.45 | odd | 12 | ||
112.2.w.c.109.1 | yes | 48 | 112.61 | odd | 12 | ||
448.2.ba.c.81.8 | 48 | 112.19 | even | 12 | |||
448.2.ba.c.177.8 | 48 | 28.3 | even | 6 | |||
448.2.ba.c.305.5 | 48 | 28.19 | even | 6 | |||
448.2.ba.c.401.5 | 48 | 112.3 | even | 12 | |||
784.2.m.j.197.8 | 24 | 7.6 | odd | 2 | |||
784.2.m.j.589.8 | 24 | 112.13 | odd | 4 | |||
784.2.m.k.197.8 | 24 | 1.1 | even | 1 | trivial | ||
784.2.m.k.589.8 | 24 | 16.13 | even | 4 | inner | ||
784.2.x.o.165.9 | 48 | 7.2 | even | 3 | |||
784.2.x.o.373.1 | 48 | 7.4 | even | 3 | |||
784.2.x.o.557.1 | 48 | 112.93 | even | 12 | |||
784.2.x.o.765.9 | 48 | 112.109 | even | 12 | |||
896.2.ba.e.289.8 | 48 | 112.59 | even | 12 | |||
896.2.ba.e.417.5 | 48 | 112.75 | even | 12 | |||
896.2.ba.e.737.5 | 48 | 56.3 | even | 6 | |||
896.2.ba.e.865.8 | 48 | 56.19 | even | 6 | |||
896.2.ba.f.289.5 | 48 | 112.101 | odd | 12 | |||
896.2.ba.f.417.8 | 48 | 112.5 | odd | 12 | |||
896.2.ba.f.737.8 | 48 | 56.45 | odd | 6 | |||
896.2.ba.f.865.5 | 48 | 56.5 | odd | 6 |