Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(408,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.408");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 845.f (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 408.20 | ||
Character | 845.408 | ||
Dual form | 845.2.f.f.437.17 |
-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 .
0.689692i | 0.487686i | 0.969815 | + | 0.243843i | ||||||
−0.969815 | + | 0.243843i | ||||||||
−0.0621871 | − | 0.0621871i | −0.0359038 | − | 0.0359038i | 0.688927 | − | 0.724831i | ||
−0.724831 | + | 0.688927i | ||||||||
1.52433 | 0.762163 | |||||||||
−0.454257 | + | 2.18944i | −0.203150 | + | 0.979148i | |||||
0.0428900 | − | 0.0428900i | 0.0175098 | − | 0.0175098i | |||||
−0.806945 | −0.304997 | −0.152498 | − | 0.988304i | ||||||
−0.152498 | + | 0.988304i | ||||||||
2.43070i | 0.859382i | |||||||||
− | 2.99227i | − | 0.997422i | |||||||
−1.51004 | − | 0.313297i | −0.477516 | − | 0.0990733i | |||||
0.314448 | + | 0.314448i | 0.0948095 | + | 0.0948095i | 0.752921 | − | 0.658111i | ||
−0.658111 | + | 0.752921i | ||||||||
−0.0947934 | − | 0.0947934i | −0.0273645 | − | 0.0273645i | |||||
0 | 0 | |||||||||
− | 0.556544i | − | 0.148743i | |||||||
0.164404 | − | 0.107906i | 0.0424489 | − | 0.0278612i | |||||
1.37222 | 0.343054 | |||||||||
3.71523 | + | 3.71523i | 0.901075 | + | 0.901075i | 0.995529 | − | 0.0944538i | ||
−0.0944538 | + | 0.995529i | ||||||||
2.06374 | 0.486428 | |||||||||
4.78901 | + | 4.78901i | 1.09867 | + | 1.09867i | 0.994566 | + | 0.104109i | ||
0.104109 | + | 0.994566i | ||||||||
−0.692436 | + | 3.33742i | −0.154833 | + | 0.746270i | |||||
0.0501816 | + | 0.0501816i | 0.0109505 | + | 0.0109505i | |||||
−0.216872 | + | 0.216872i | −0.0462372 | + | 0.0462372i | |||||
−3.80361 | + | 3.80361i | −0.793108 | + | 0.793108i | −0.981998 | − | 0.188891i | ||
0.188891 | + | 0.981998i | ||||||||
0.151158 | − | 0.151158i | 0.0308550 | − | 0.0308550i | |||||
−4.58730 | − | 1.98914i | −0.917460 | − | 0.397828i | |||||
0 | 0 | |||||||||
−0.372642 | + | 0.372642i | −0.0717149 | + | 0.0717149i | |||||
−1.23005 | −0.232457 | |||||||||
4.79138i | 0.889736i | 0.895596 | + | 0.444868i | ||||||
−0.895596 | + | 0.444868i | ||||||||
0.0744220 | + | 0.113388i | 0.0135875 | + | 0.0207017i | |||||
−0.106205 | + | 0.106205i | −0.0190749 | + | 0.0190749i | −0.716580 | − | 0.697505i | ||
0.697505 | + | 0.716580i | ||||||||
5.80780i | 1.02668i | |||||||||
− | 0.0391092i | − | 0.00680804i | |||||||
−2.56236 | + | 2.56236i | −0.439442 | + | 0.439442i | |||||
0.366561 | − | 1.76676i | 0.0619600 | − | 0.298637i | |||||
− | 4.56119i | − | 0.760198i | |||||||
−5.97196 | −0.981784 | −0.490892 | − | 0.871220i | ||||||
−0.490892 | + | 0.871220i | ||||||||
−3.30294 | + | 3.30294i | −0.535808 | + | 0.535808i | |||||
0 | 0 | |||||||||
−5.32187 | − | 1.10416i | −0.841461 | − | 0.174583i | |||||
6.13599 | − | 6.13599i | 0.958281 | − | 0.958281i | −0.0408834 | − | 0.999164i | ||
0.999164 | + | 0.0408834i | ||||||||
−0.0346098 | + | 0.0346098i | −0.00534041 | + | 0.00534041i | |||||
6.82846 | − | 6.82846i | 1.04133 | − | 1.04133i | 0.0422217 | − | 0.999108i | ||
0.999108 | − | 0.0422217i | ||||||||
0.479320 | + | 0.479320i | 0.0722603 | + | 0.0722603i | |||||
6.55139 | + | 1.35926i | 0.976623 | + | 0.202626i | |||||
−2.62332 | − | 2.62332i | −0.386787 | − | 0.386787i | |||||
−9.32662 | −1.36043 | −0.680214 | − | 0.733014i | ||||||
−0.680214 | + | 0.733014i | ||||||||
−0.0853343 | − | 0.0853343i | −0.0123169 | − | 0.0123169i | |||||
−6.34884 | −0.906977 | |||||||||
1.37189 | − | 3.16382i | 0.194015 | − | 0.447432i | |||||
− | 0.462079i | − | 0.0647040i | |||||||
0 | 0 | |||||||||
5.61903 | + | 5.61903i | 0.771833 | + | 0.771833i | 0.978427 | − | 0.206594i | ||
−0.206594 | + | 0.978427i | ||||||||
−0.257008 | − | 0.257008i | −0.0349744 | − | 0.0349744i | |||||
−0.831304 | + | 0.545624i | −0.112093 | + | 0.0735720i | |||||
− | 1.96144i | − | 0.262108i | |||||||
− | 0.595630i | − | 0.0788931i | |||||||
−3.30457 | −0.433912 | |||||||||
−1.55637 | + | 1.55637i | −0.202622 | + | 0.202622i | −0.801122 | − | 0.598500i | ||
0.598500 | + | 0.801122i | ||||||||
0.250605 | − | 0.164484i | 0.0323530 | − | 0.0212348i | |||||
3.03084 | 0.388059 | 0.194029 | − | 0.980996i | ||||||
0.194029 | + | 0.980996i | ||||||||
−0.0732484 | − | 0.0732484i | −0.00930256 | − | 0.00930256i | |||||
2.41459i | 0.304210i | |||||||||
−1.26116 | −0.157645 | |||||||||
0 | 0 | |||||||||
0.0269733 | 0.00332018 | |||||||||
11.6119i | 1.41862i | 0.704899 | + | 0.709308i | ||||||
−0.704899 | + | 0.709308i | ||||||||
5.66322 | + | 5.66322i | 0.686766 | + | 0.686766i | |||||
0.473071 | 0.0569511 | |||||||||
1.21852 | + | 0.252814i | 0.145641 | + | 0.0302170i | |||||
1.00931 | − | 1.00931i | 0.119783 | − | 0.119783i | −0.644674 | − | 0.764457i | ||
0.764457 | + | 0.644674i | ||||||||
7.27329 | 0.857166 | |||||||||
0.265877i | 0.0311186i | 0.999879 | + | 0.0155593i | ||||||
−0.999879 | + | 0.0155593i | ||||||||
− | 4.11881i | − | 0.478802i | |||||||
0.161572 | + | 0.408970i | 0.0186568 | + | 0.0472238i | |||||
7.30001 | + | 7.30001i | 0.837369 | + | 0.837369i | |||||
−0.253742 | − | 0.253742i | −0.0289166 | − | 0.0289166i | |||||
0 | 0 | |||||||||
− | 8.98397i | − | 1.01078i | −0.862892 | − | 0.505388i | ||||
0.862892 | − | 0.505388i | ||||||||
−0.623340 | + | 3.00439i | −0.0696915 | + | 0.335901i | |||||
−8.93045 | −0.992272 | |||||||||
4.23194 | + | 4.23194i | 0.467340 | + | 0.467340i | |||||
2.59025 | 0.284317 | 0.142159 | − | 0.989844i | ||||||
0.142159 | + | 0.989844i | ||||||||
0.0764931 | + | 0.0764931i | 0.00834608 | + | 0.00834608i | |||||
−9.82194 | + | 6.44660i | −1.06534 | + | 0.699232i | |||||
4.70953 | + | 4.70953i | 0.507842 | + | 0.507842i | |||||
0.297962 | − | 0.297962i | 0.0319449 | − | 0.0319449i | |||||
−0.764327 | + | 0.764327i | −0.0814776 | + | 0.0814776i | |||||
6.10204 | − | 6.10204i | 0.646815 | − | 0.646815i | −0.305407 | − | 0.952222i | ||
0.952222 | + | 0.305407i | ||||||||
−0.937469 | + | 4.51844i | −0.0988179 | + | 0.476285i | |||||
0 | 0 | |||||||||
−5.79794 | + | 5.79794i | −0.604477 | + | 0.604477i | |||||
0.0132091 | 0.00136972 | |||||||||
− | 6.43250i | − | 0.663461i | |||||||
−12.6607 | + | 8.30982i | −1.29896 | + | 0.852569i | |||||
0.361171 | − | 0.361171i | 0.0368618 | − | 0.0368618i | |||||
− | 14.4934i | − | 1.47158i | −0.677210 | − | 0.735789i | ||||
0.677210 | − | 0.735789i | ||||||||
− | 4.37874i | − | 0.442320i | |||||||
0.940911 | − | 0.940911i | 0.0945651 | − | 0.0945651i | |||||
−6.99254 | − | 3.03209i | −0.699254 | − | 0.303209i | |||||
− | 3.93288i | − | 0.391336i | −0.980670 | − | 0.195668i | ||||
0.980670 | − | 0.195668i | ||||||||
0.318692 | 0.0315552 | |||||||||
12.2725 | − | 12.2725i | 1.20924 | − | 1.20924i | 0.237970 | − | 0.971272i | ||
0.971272 | − | 0.237970i | ||||||||
0 | 0 | |||||||||
−0.132665 | + | 0.0870743i | −0.0129468 | + | 0.00849758i | |||||
−3.87540 | + | 3.87540i | −0.376412 | + | 0.376412i | |||||
−3.47737 | + | 3.47737i | −0.336170 | + | 0.336170i | −0.854924 | − | 0.518754i | ||
0.518754 | + | 0.854924i | ||||||||
−0.568027 | + | 0.568027i | −0.0546585 | + | 0.0546585i | |||||
−5.74206 | − | 5.74206i | −0.549990 | − | 0.549990i | 0.376448 | − | 0.926438i | ||
−0.926438 | + | 0.376448i | ||||||||
−0.376313 | − | 0.573344i | −0.0358800 | − | 0.0546662i | |||||
0.371379 | + | 0.371379i | 0.0352497 | + | 0.0352497i | |||||
−1.10730 | −0.104630 | |||||||||
3.36820 | + | 3.36820i | 0.316853 | + | 0.316853i | 0.847557 | − | 0.530704i | ||
−0.530704 | + | 0.847557i | ||||||||
0.410801 | 0.0384751 | |||||||||
−6.59996 | − | 10.0556i | −0.615450 | − | 0.937689i | |||||
7.30362i | 0.678124i | |||||||||
0 | 0 | |||||||||
−1.07342 | − | 1.07342i | −0.0988159 | − | 0.0988159i | |||||
−2.99799 | − | 2.99799i | −0.274825 | − | 0.274825i | |||||
0.262287 | + | 0.399616i | 0.0239434 | + | 0.0364798i | |||||
− | 10.8022i | − | 0.982022i | |||||||
2.09034i | 0.189251i | |||||||||
−0.763159 | −0.0688117 | |||||||||
−0.161890 | + | 0.161890i | −0.0145382 | + | 0.0145382i | |||||
6.43891 | − | 9.14004i | 0.575914 | − | 0.817510i | |||||
−1.66533 | −0.148359 | |||||||||
10.3616 | + | 10.3616i | 0.919445 | + | 0.919445i | 0.996989 | − | 0.0775440i | ||
−0.0775440 | + | 0.996989i | ||||||||
10.7458i | 0.949803i | |||||||||
−0.849284 | −0.0747753 | |||||||||
0 | 0 | |||||||||
21.1674 | 1.84941 | 0.924704 | − | 0.380686i | ||||||
0.924704 | + | 0.380686i | ||||||||
− | 0.0596151i | − | 0.00518883i | |||||||
−3.86447 | − | 3.86447i | −0.335092 | − | 0.335092i | |||||
−8.00861 | −0.691838 | |||||||||
−0.646602 | − | 0.985152i | −0.0556506 | − | 0.0847884i | |||||
−9.03060 | + | 9.03060i | −0.774368 | + | 0.774368i | |||||
15.2364 | 1.30173 | 0.650867 | − | 0.759192i | ||||||
0.650867 | + | 0.759192i | ||||||||
0.326273i | 0.0277742i | |||||||||
11.8714i | 1.00692i | 0.864019 | + | 0.503459i | ||||||
−0.864019 | + | 0.503459i | ||||||||
0.558758 | − | 2.69311i | 0.0472236 | − | 0.227610i | |||||
0.579996 | + | 0.579996i | 0.0488445 | + | 0.0488445i | |||||
0.696114 | + | 0.696114i | 0.0584166 | + | 0.0584166i | |||||
0 | 0 | |||||||||
− | 4.10604i | − | 0.342170i | |||||||
−10.4904 | − | 2.17652i | −0.871183 | − | 0.180750i | |||||
−0.183373 | −0.0151761 | |||||||||
0.394816 | + | 0.394816i | 0.0325639 | + | 0.0325639i | |||||
−9.10321 | −0.748279 | |||||||||
−9.54060 | − | 9.54060i | −0.781597 | − | 0.781597i | 0.198504 | − | 0.980100i | ||
−0.980100 | + | 0.198504i | ||||||||
−0.282063 | + | 0.111435i | −0.0230304 | + | 0.00909864i | |||||
3.86706 | + | 3.86706i | 0.314697 | + | 0.314697i | 0.846726 | − | 0.532029i | ||
−0.532029 | + | 0.846726i | ||||||||
−11.6406 | + | 11.6406i | −0.944181 | + | 0.944181i | |||||
11.1170 | − | 11.1170i | 0.898752 | − | 0.898752i | |||||
0.175004 | − | 0.175004i | 0.0141022 | − | 0.0141022i | |||||
−0.184284 | − | 0.280773i | −0.0148021 | − | 0.0225522i | |||||
0 | 0 | |||||||||
−12.0199 | + | 12.0199i | −0.959293 | + | 0.959293i | −0.999203 | − | 0.0399100i | ||
0.0399100 | + | 0.999203i | ||||||||
6.19617 | 0.492941 | |||||||||
− | 0.698863i | − | 0.0554234i | |||||||
−12.7158 | − | 2.63824i | −1.00528 | − | 0.208571i | |||||
3.06931 | − | 3.06931i | 0.241895 | − | 0.241895i | |||||
− | 6.15926i | − | 0.483917i | |||||||
− | 20.9573i | − | 1.64150i | −0.571288 | − | 0.820750i | ||||
0.571288 | − | 0.820750i | ||||||||
9.35324 | − | 9.35324i | 0.730366 | − | 0.730366i | |||||
0.0856272 | + | 0.0177656i | 0.00666607 | + | 0.00138305i | |||||
1.78648i | 0.138657i | |||||||||
−17.8277 | −1.37955 | −0.689773 | − | 0.724026i | ||||||
−0.689773 | + | 0.724026i | ||||||||
−0.121976 | + | 0.121976i | −0.00941068 | + | 0.00941068i | |||||
0 | 0 | |||||||||
−4.44617 | − | 6.77411i | −0.341006 | − | 0.519551i | |||||
14.3300 | − | 14.3300i | 1.09584 | − | 1.09584i | |||||
10.4088 | − | 10.4088i | 0.793663 | − | 0.793663i | |||||
4.52475 | − | 4.52475i | 0.344010 | − | 0.344010i | −0.513862 | − | 0.857873i | ||
0.857873 | + | 0.513862i | ||||||||
0.205502 | + | 0.205502i | 0.0155791 | + | 0.0155791i | |||||
3.70170 | + | 1.60513i | 0.279822 | + | 0.121336i | |||||
0.431490 | + | 0.431490i | 0.0325248 | + | 0.0325248i | |||||
0.193572 | 0.0145498 | |||||||||
4.20853 | + | 4.20853i | 0.315442 | + | 0.315442i | |||||
5.20422 | 0.388982 | 0.194491 | − | 0.980904i | ||||||
0.194491 | + | 0.980904i | ||||||||
9.98645 | + | 2.07195i | 0.744346 | + | 0.154434i | |||||
− | 10.7283i | − | 0.797430i | −0.917075 | − | 0.398715i | ||||
0.917075 | − | 0.398715i | ||||||||
0 | 0 | |||||||||
−0.188479 | − | 0.188479i | −0.0139328 | − | 0.0139328i | |||||
−9.24543 | − | 9.24543i | −0.681582 | − | 0.681582i | |||||
2.71281 | − | 13.0753i | 0.199449 | − | 0.961312i | |||||
0.00911022i | 0.000667993i | |||||||||
2.33649i | 0.170861i | |||||||||
−14.2168 | −1.03687 | |||||||||
0.300702 | − | 0.300702i | 0.0218728 | − | 0.0218728i | |||||
−5.73121 | − | 8.73198i | −0.415786 | − | 0.633485i | |||||
16.1353 | 1.16751 | 0.583753 | − | 0.811931i | ||||||
0.583753 | + | 0.811931i | ||||||||
0.0784279 | + | 0.0784279i | 0.00566005 | + | 0.00566005i | |||||
− | 7.60539i | − | 0.547448i | −0.961808 | − | 0.273724i | ||||
0.961808 | − | 0.273724i | ||||||||
9.99596 | 0.717668 | |||||||||
0 | 0 | |||||||||
−9.67770 | −0.691264 | |||||||||
− | 4.90103i | − | 0.349184i | −0.984641 | − | 0.174592i | ||||
0.984641 | − | 0.174592i | ||||||||
0.648938 | + | 0.648938i | 0.0461180 | + | 0.0461180i | |||||
−19.9759 | −1.41605 | −0.708027 | − | 0.706186i | ||||||
−0.708027 | + | 0.706186i | ||||||||
4.83499 | − | 11.1503i | 0.341886 | − | 0.788448i | |||||
0.722109 | − | 0.722109i | 0.0509336 | − | 0.0509336i | |||||
2.71248 | 0.190849 | |||||||||
− | 3.86638i | − | 0.271367i | |||||||
− | 0.704358i | − | 0.0493150i | |||||||
10.6471 | + | 16.2217i | 0.743623 | + | 1.13297i | |||||
8.46422 | + | 8.46422i | 0.589730 | + | 0.589730i | |||||
11.3814 | + | 11.3814i | 0.791063 | + | 0.791063i | |||||
0 | 0 | |||||||||
3.01179i | 0.208330i | |||||||||
−0.0600544 | − | 0.0914980i | −0.00414415 | − | 0.00631396i | |||||
11.6968 | 0.805238 | 0.402619 | − | 0.915368i | ||||||
0.402619 | + | 0.915368i | ||||||||
8.56523 | + | 8.56523i | 0.588262 | + | 0.588262i | |||||
−0.125532 | −0.00860134 | |||||||||
−2.39831 | − | 2.39831i | −0.163945 | − | 0.163945i | |||||
11.8486 | + | 18.0524i | 0.808070 | + | 1.23116i | |||||
−0.905780 | − | 0.905780i | −0.0616305 | − | 0.0616305i | |||||
0.0857012 | − | 0.0857012i | 0.00581778 | − | 0.00581778i | |||||
3.96025 | − | 3.96025i | 0.268222 | − | 0.268222i | |||||
0.0165342 | − | 0.0165342i | 0.00111727 | − | 0.00111727i | |||||
−1.26718 | + | 0.831709i | −0.0854331 | + | 0.0560738i | |||||
0 | 0 | |||||||||
−0.256137 | + | 0.256137i | −0.0171908 | + | 0.0171908i | |||||
−2.83093 | −0.189573 | −0.0947864 | − | 0.995498i | ||||||
−0.0947864 | + | 0.995498i | ||||||||
− | 4.68658i | − | 0.313135i | |||||||
−5.95203 | + | 13.7264i | −0.396802 | + | 0.915095i | |||||
−2.32302 | + | 2.32302i | −0.154525 | + | 0.154525i | |||||
− | 15.4930i | − | 1.02830i | −0.857699 | − | 0.514152i | ||||
0.857699 | − | 0.514152i | ||||||||
− | 0.907934i | − | 0.0601294i | |||||||
14.5346 | − | 14.5346i | 0.960475 | − | 0.960475i | −0.0387727 | − | 0.999248i | ||
0.999248 | + | 0.0387727i | ||||||||
6.93526 | − | 4.55194i | 0.457298 | − | 0.300146i | |||||
0.0315590i | 0.00207643i | |||||||||
−11.6464 | −0.764623 | |||||||||
−4.84530 | + | 4.84530i | −0.317426 | + | 0.317426i | −0.847778 | − | 0.530352i | ||
0.530352 | + | 0.847778i | ||||||||
0 | 0 | |||||||||
4.23668 | − | 20.4201i | 0.276371 | − | 1.33206i | |||||
−2.37241 | + | 2.37241i | −0.154431 | + | 0.154431i | |||||
−0.558687 | + | 0.558687i | −0.0362906 | + | 0.0362906i | |||||
2.06769 | − | 2.06769i | 0.134028 | − | 0.134028i | |||||
10.0017 | + | 10.0017i | 0.646957 | + | 0.646957i | 0.952257 | − | 0.305299i | ||
−0.305299 | + | 0.952257i | ||||||||
0.225598 | − | 0.148071i | 0.0145623 | − | 0.00955792i | |||||
−17.2524 | − | 17.2524i | −1.11132 | − | 1.11132i | −0.992972 | − | 0.118350i | ||
−0.118350 | − | 0.992972i | ||||||||
7.45022 | 0.478918 | |||||||||
1.67328 | + | 1.67328i | 0.107341 | + | 0.107341i | |||||
4.61998 | 0.295764 | |||||||||
2.88401 | − | 13.9004i | 0.184252 | − | 0.888064i | |||||
− | 0.526345i | − | 0.0335585i | |||||||
0 | 0 | |||||||||
−0.258151 | − | 0.258151i | −0.0163926 | − | 0.0163926i | |||||
−0.161080 | − | 0.161080i | −0.0102081 | − | 0.0102081i | |||||
6.30381 | + | 4.44087i | 0.398688 | + | 0.280865i | |||||
− | 5.39488i | − | 0.340522i | −0.985399 | − | 0.170261i | ||||
0.985399 | − | 0.170261i | ||||||||
3.68063i | 0.231858i | |||||||||
−2.39207 | −0.150388 | |||||||||
−7.14632 | + | 7.14632i | −0.448400 | + | 0.448400i | |||||
1.01169 | + | 0.209903i | 0.0633548 | + | 0.0131446i | |||||
−9.93361 | −0.620850 | |||||||||
−0.280852 | − | 0.280852i | −0.0175191 | − | 0.0175191i | 0.698293 | − | 0.715812i | ||
−0.715812 | + | 0.698293i | ||||||||
− | 0.585744i | − | 0.0364669i | |||||||
4.81905 | 0.299441 | |||||||||
0 | 0 | |||||||||
14.3371 | 0.887442 | |||||||||
14.5990i | 0.901930i | |||||||||
−19.1244 | − | 19.1244i | −1.17926 | − | 1.17926i | −0.979933 | − | 0.199327i | ||
−0.199327 | − | 0.979933i | ||||||||
0.0950626 | 0.00585070 | |||||||||
−14.8550 | + | 9.75005i | −0.912536 | + | 0.598941i | |||||
2.66529 | − | 2.66529i | 0.163420 | − | 0.163420i | |||||
−0.758937 | −0.0464462 | |||||||||
17.7003i | 1.08122i | |||||||||
− | 6.80280i | − | 0.414774i | −0.978259 | − | 0.207387i | ||||
0.978259 | − | 0.207387i | ||||||||
0.679452 | − | 0.445956i | 0.0413501 | − | 0.0271400i | |||||
−1.19369 | − | 1.19369i | −0.0725115 | − | 0.0725115i | 0.669921 | − | 0.742432i | ||
−0.742432 | + | 0.669921i | ||||||||
5.09810 | + | 5.09810i | 0.309118 | + | 0.309118i | |||||
0 | 0 | |||||||||
10.5084i | 0.634837i | |||||||||
−0.816986 | − | 2.06795i | −0.0492661 | − | 0.124702i | |||||
0.721114 | 0.0434060 | |||||||||
7.48071 | + | 7.48071i | 0.449472 | + | 0.449472i | 0.895179 | − | 0.445707i | ||
−0.445707 | + | 0.895179i | ||||||||
−8.18759 | −0.491059 | |||||||||
0.317792 | + | 0.317792i | 0.0190257 | + | 0.0190257i | |||||
4.29446 | + | 0.890998i | 0.256643 | + | 0.0532473i | |||||
−0.943634 | − | 0.943634i | −0.0562925 | − | 0.0562925i | 0.678400 | − | 0.734693i | ||
−0.734693 | + | 0.678400i | ||||||||
−0.400018 | + | 0.400018i | −0.0238208 | + | 0.0238208i | |||||
−3.00754 | + | 3.00754i | −0.178779 | + | 0.178779i | −0.790824 | − | 0.612044i | ||
0.612044 | + | 0.790824i | ||||||||
1.53852 | − | 1.53852i | 0.0912944 | − | 0.0912944i | |||||
1.30410 | + | 0.270569i | 0.0772480 | + | 0.0160271i | |||||
0 | 0 | |||||||||
−4.95141 | + | 4.95141i | −0.292272 | + | 0.292272i | |||||
17.3785 | 1.02404 | |||||||||
10.6059i | 0.623874i | |||||||||
1.50113 | − | 7.23517i | 0.0881491 | − | 0.424864i | |||||
−0.901301 | + | 0.901301i | −0.0528352 | + | 0.0528352i | |||||
0.405284i | 0.0237174i | |||||||||
− | 6.74295i | − | 0.393927i | −0.980411 | − | 0.196964i | ||||
0.980411 | − | 0.196964i | ||||||||
−0.272301 | + | 0.272301i | −0.0158809 | + | 0.0158809i | |||||
−2.70059 | − | 4.11457i | −0.157234 | − | 0.239560i | |||||
− | 14.5160i | − | 0.843727i | |||||||
−0.234353 | −0.0135985 | |||||||||
6.58008 | − | 6.58008i | 0.381174 | − | 0.381174i | |||||
0 | 0 | |||||||||
0.246289 | + | 0.623403i | 0.0142195 | + | 0.0359922i | |||||
−5.51019 | + | 5.51019i | −0.317602 | + | 0.317602i | |||||
−2.66708 | + | 2.66708i | −0.153473 | + | 0.153473i | |||||
−0.244575 | + | 0.244575i | −0.0140504 | + | 0.0140504i | |||||
6.57157 | + | 6.57157i | 0.376905 | + | 0.376905i | |||||
−1.37678 | + | 6.63583i | −0.0788341 | + | 0.379967i | |||||
7.66727 | + | 7.66727i | 0.438309 | + | 0.438309i | |||||
−9.60697 | −0.548298 | −0.274149 | − | 0.961687i | ||||||
−0.274149 | + | 0.961687i | ||||||||
−0.386785 | − | 0.386785i | −0.0220391 | − | 0.0220391i | |||||
−1.52638 | −0.0868327 | |||||||||
0.193647 | − | 0.127099i | 0.0109984 | − | 0.00721876i | |||||
5.22449i | 0.296254i | 0.988968 | + | 0.148127i | ||||||
−0.988968 | + | 0.148127i | ||||||||
0 | 0 | |||||||||
2.37979 | + | 2.37979i | 0.134514 | + | 0.134514i | 0.771158 | − | 0.636644i | ||
−0.636644 | + | 0.771158i | ||||||||
−8.29003 | − | 8.29003i | −0.467834 | − | 0.467834i | |||||
−5.28661 | − | 1.09685i | −0.297867 | − | 0.0618003i | |||||
− | 13.6945i | − | 0.770375i | |||||||
− | 14.8061i | − | 0.831593i | −0.909458 | − | 0.415796i | ||||
0.909458 | − | 0.415796i | ||||||||
0.482000 | 0.0270292 | |||||||||
−1.50664 | + | 1.50664i | −0.0843555 | + | 0.0843555i | |||||
0.572891 | − | 2.76123i | 0.0320256 | − | 0.154358i | |||||
0.432495 | 0.0241395 | |||||||||
2.11687 | + | 2.11687i | 0.117969 | + | 0.117969i | |||||
35.5846i | 1.97998i | |||||||||
−13.6129 | −0.756273 | |||||||||
0 | 0 | |||||||||
14.4541 | 0.800536 | |||||||||
0.714165i | 0.0394934i | |||||||||
14.9147 | + | 14.9147i | 0.823529 | + | 0.823529i | |||||
7.52607 | 0.414926 | |||||||||
−0.0122528 | + | 0.0590564i | −0.000674495 | + | 0.00325095i | |||||
−11.0229 | + | 11.0229i | −0.605871 | + | 0.605871i | −0.941864 | − | 0.335993i | ||
0.335993 | + | 0.941864i | ||||||||
3.94839 | 0.216696 | |||||||||
17.8697i | 0.979253i | |||||||||
− | 12.2956i | − | 0.672784i | |||||||
−25.4235 | − | 5.27477i | −1.38903 | − | 0.288192i | |||||
0.0688601 | + | 0.0688601i | 0.00375663 | + | 0.00375663i | |||||
−18.1944 | − | 18.1944i | −0.991112 | − | 0.991112i | 0.00884867 | − | 0.999961i | ||
−0.999961 | + | 0.00884867i | ||||||||
0 | 0 | |||||||||
− | 0.418917i | − | 0.0227525i | |||||||
−14.9718 | + | 9.82672i | −0.811962 | + | 0.532929i | |||||
−0.0667915 | −0.00361696 | |||||||||
9.88328 | + | 9.88328i | 0.534427 | + | 0.534427i | |||||
10.7718 | 0.581622 | |||||||||
16.5979 | + | 16.5979i | 0.894900 | + | 0.894900i | |||||
−0.214896 | + | 1.03576i | −0.0115696 | + | 0.0557635i | |||||
3.12068 | + | 3.12068i | 0.167769 | + | 0.167769i | |||||
−16.9091 | + | 16.9091i | −0.907730 | + | 0.907730i | −0.996089 | − | 0.0883583i | ||
0.0883583 | + | 0.996089i | ||||||||
0.454191 | − | 0.454191i | 0.0243472 | − | 0.0243472i | |||||
7.73307 | − | 7.73307i | 0.413942 | − | 0.413942i | −0.469167 | − | 0.883109i | ||
0.883109 | + | 0.469167i | ||||||||
−1.10704 | + | 2.55303i | −0.0591739 | + | 0.136465i | |||||
0 | 0 | |||||||||
−1.82625 | + | 1.82625i | −0.0973394 | + | 0.0973394i | |||||
0.867256 | 0.0461594 | 0.0230797 | − | 0.999734i | ||||||
0.0230797 | + | 0.999734i | ||||||||
0.133505i | 0.00709572i | |||||||||
1.75134 | + | 2.66832i | 0.0929516 | + | 0.141620i | |||||
9.30149 | − | 9.30149i | 0.492978 | − | 0.492978i | |||||
0.372872i | 0.0197345i | |||||||||
3.58931i | 0.189701i | |||||||||
−19.2831 | + | 19.2831i | −1.01773 | + | 1.01773i | −0.0178852 | + | 0.999840i | ||
−0.999840 | + | 0.0178852i | ||||||||
−3.30395 | + | 15.9244i | −0.174133 | + | 0.839292i | |||||
26.8693i | 1.41417i | |||||||||
7.39924 | 0.388895 | |||||||||
−0.671761 | + | 0.671761i | −0.0352583 | + | 0.0352583i | |||||
0 | 0 | |||||||||
−0.582123 | − | 0.120777i | −0.0304697 | − | 0.00632174i | |||||
0.129992 | − | 0.129992i | 0.00679481 | − | 0.00679481i | |||||
−11.7243 | + | 11.7243i | −0.612003 | + | 0.612003i | −0.943468 | − | 0.331465i | ||
0.331465 | + | 0.943468i | ||||||||
−5.21938 | + | 5.21938i | −0.272079 | + | 0.272079i | |||||
−18.3605 | − | 18.3605i | −0.955810 | − | 0.955810i | |||||
9.01790 | + | 1.87100i | 0.468818 | + | 0.0972687i | |||||
−4.53425 | − | 4.53425i | −0.235407 | − | 0.235407i | |||||
0.0201350 | 0.00104395 | |||||||||
−5.18869 | − | 5.18869i | −0.268660 | − | 0.268660i | 0.559900 | − | 0.828560i | ||
−0.828560 | + | 0.559900i | ||||||||
−1.61146 | −0.0833265 | |||||||||
−0.968811 | + | 0.167976i | −0.0500292 | + | 0.00867422i | |||||
− | 22.6702i | − | 1.16913i | |||||||
0 | 0 | |||||||||
0.207391 | + | 0.207391i | 0.0106671 | + | 0.0106671i | |||||
23.7312 | + | 23.7312i | 1.21899 | + | 1.21899i | 0.967986 | + | 0.251004i | ||
0.251004 | + | 0.967986i | ||||||||
−19.2990 | + | 12.6669i | −0.990019 | + | 0.649796i | |||||
− | 1.28872i | − | 0.0660231i | |||||||
11.1284i | 0.569376i | |||||||||
29.3750 | 1.50099 | 0.750497 | − | 0.660874i | ||||||
0.750497 | + | 0.660874i | ||||||||
0.668250 | − | 0.668250i | 0.0341015 | − | 0.0341015i | |||||
0.670817 | − | 0.440289i | 0.0341880 | − | 0.0224392i | |||||
5.24538 | 0.266983 | |||||||||
−20.4326 | − | 20.4326i | −1.03865 | − | 1.03865i | |||||
− | 22.0926i | − | 1.12158i | |||||||
−28.8837 | −1.46446 | −0.732231 | − | 0.681056i | ||||||
−0.732231 | + | 0.681056i | ||||||||
0 | 0 | |||||||||
−28.2626 | −1.42930 | |||||||||
− | 15.4321i | − | 0.779439i | |||||||
−1.31634 | − | 1.31634i | −0.0664007 | − | 0.0664007i | |||||
3.38020 | 0.170292 | |||||||||
19.6699 | + | 4.08103i | 0.989698 | + | 0.205339i | |||||
1.43425 | − | 1.43425i | 0.0720740 | − | 0.0720740i | |||||
5.89089 | 0.295655 | 0.147828 | − | 0.989013i | ||||||
0.147828 | + | 0.989013i | ||||||||
− | 13.7772i | − | 0.690589i | |||||||
0.480641i | 0.0240621i | |||||||||
−6.29477 | − | 2.72953i | −0.314739 | − | 0.136476i | |||||
−2.56134 | − | 2.56134i | −0.127907 | − | 0.127907i | 0.640255 | − | 0.768162i | ||
−0.768162 | + | 0.640255i | ||||||||
0.498032 | + | 0.498032i | 0.0248396 | + | 0.0248396i | |||||
0 | 0 | |||||||||
− | 5.99499i | − | 0.298262i | |||||||
4.05672 | − | 19.5527i | 0.201580 | − | 0.971581i | |||||
2.66661 | 0.132342 | |||||||||
−1.87787 | − | 1.87787i | −0.0930825 | − | 0.0930825i | |||||
1.12317 | 0.0556054 | |||||||||
8.48983 | + | 8.48983i | 0.419795 | + | 0.419795i | 0.885133 | − | 0.465338i | ||
−0.465338 | + | 0.885133i | ||||||||
−11.1880 | + | 7.34320i | −0.552535 | + | 0.362655i | |||||
−0.947508 | − | 0.947508i | −0.0467371 | − | 0.0467371i | |||||
18.7072 | − | 18.7072i | 0.921639 | − | 0.921639i | |||||
1.25590 | − | 1.25590i | 0.0617990 | − | 0.0617990i | |||||
−7.84967 | + | 7.84967i | −0.385790 | + | 0.385790i | |||||
−1.17664 | + | 5.67120i | −0.0577590 | + | 0.278388i | |||||
0 | 0 | |||||||||
0.738247 | − | 0.738247i | 0.0361521 | − | 0.0361521i | |||||
−2.07720 | −0.101599 | |||||||||
12.6173i | 0.616393i | 0.951323 | + | 0.308197i | ||||||
−0.951323 | + | 0.308197i | ||||||||
−0.202225 | + | 0.132730i | −0.00986755 | + | 0.00647654i | |||||
−2.72216 | + | 2.72216i | −0.132670 | + | 0.132670i | −0.770323 | − | 0.637653i | ||
0.637653 | + | 0.770323i | ||||||||
8.06716i | 0.392703i | |||||||||
27.9077i | 1.35692i | |||||||||
−13.6582 | + | 13.6582i | −0.663299 | + | 0.663299i | |||||
−9.65277 | − | 24.4330i | −0.468228 | − | 1.18517i | |||||
− | 0.0865787i | − | 0.00419475i | |||||||
−2.44572 | −0.118357 | |||||||||
−5.30063 | + | 5.30063i | −0.256216 | + | 0.256216i | |||||
0 | 0 | |||||||||
−12.4506 | + | 8.17190i | −0.600420 | + | 0.394084i | |||||
−9.87188 | + | 9.87188i | −0.475512 | + | 0.475512i | −0.903693 | − | 0.428181i | ||
0.428181 | + | 0.903693i | ||||||||
−0.511346 | + | 0.511346i | −0.0246021 | + | 0.0246021i | |||||
24.1128 | − | 24.1128i | 1.15879 | − | 1.15879i | 0.174050 | − | 0.984737i | ||
0.984737 | − | 0.174050i | ||||||||
0.0591074 | + | 0.0591074i | 0.00283725 | + | 0.00283725i | |||||
0.517019 | + | 0.787721i | 0.0247891 | + | 0.0377683i | |||||
−8.75277 | − | 8.75277i | −0.419182 | − | 0.419182i | |||||
−36.4311 | −1.74273 | |||||||||
0.0114035 | + | 0.0114035i | 0.000544879 | + | 0.000544879i | |||||
−29.0839 | −1.38810 | −0.694049 | − | 0.719927i | ||||||
−0.694049 | + | 0.719927i | ||||||||
−1.32625 | − | 2.02065i | −0.0632264 | − | 0.0963307i | |||||
18.9974i | 0.904639i | |||||||||
0 | 0 | |||||||||
7.18973 | + | 7.18973i | 0.341594 | + | 0.341594i | 0.856966 | − | 0.515372i | ||
−0.515372 | + | 0.856966i | ||||||||
0.566103 | + | 0.566103i | 0.0268660 | + | 0.0268660i | |||||
10.5882 | + | 16.1320i | 0.501927 | + | 0.764728i | |||||
− | 1.95247i | − | 0.0924520i | |||||||
1.18661i | 0.0561245i | |||||||||
1.01769 | 0.0480812 | |||||||||
−11.2814 | + | 11.2814i | −0.532401 | + | 0.532401i | −0.921286 | − | 0.388885i | ||
0.388885 | + | 0.921286i | ||||||||
−9.46700 | − | 4.10507i | −0.446279 | − | 0.193515i | |||||
3.85889 | 0.181708 | |||||||||
5.13423 | + | 5.13423i | 0.241494 | + | 0.241494i | |||||
− | 0.480963i | − | 0.0225976i | |||||||
10.6854 | 0.501490 | |||||||||
0 | 0 | |||||||||
1.44780 | 0.0677993 | |||||||||
19.2290i | 0.899495i | 0.893156 | + | 0.449748i | ||||||
−0.893156 | + | 0.449748i | ||||||||
10.0244 | + | 10.0244i | 0.468410 | + | 0.468410i | |||||
−2.76890 | −0.129241 | |||||||||
−10.0605 | − | 15.3280i | −0.469073 | − | 0.714672i | |||||
−3.13390 | + | 3.13390i | −0.145960 | + | 0.145960i | −0.776311 | − | 0.630350i | ||
0.630350 | + | 0.776311i | ||||||||
−0.0217660 | −0.00101264 | |||||||||
− | 12.2584i | − | 0.569696i | −0.958573 | − | 0.284848i | ||||
0.958573 | − | 0.284848i | ||||||||
6.57481i | 0.305228i | |||||||||
−0.00600033 | + | 0.0289206i | −0.000278259 | + | 0.00134116i | |||||
−3.34177 | − | 3.34177i | −0.154804 | − | 0.154804i | |||||
10.5138 | + | 10.5138i | 0.486522 | + | 0.486522i | 0.907207 | − | 0.420685i | ||
−0.420685 | + | 0.907207i | ||||||||
0 | 0 | |||||||||
− | 9.37014i | − | 0.432673i | |||||||
14.0836 | + | 2.92201i | 0.649627 | + | 0.134782i | |||||
1.49497 | 0.0688845 | |||||||||
−3.78306 | − | 3.78306i | −0.174130 | − | 0.174130i | |||||
4.29438 | 0.197456 | |||||||||
−0.385322 | − | 0.385322i | −0.0176984 | − | 0.0176984i | |||||
−12.4426 | − | 31.4947i | −0.570907 | − | 1.44507i | |||||
−4.56991 | − | 4.56991i | −0.209461 | − | 0.209461i | |||||
16.8136 | − | 16.8136i | 0.769843 | − | 0.769843i | |||||
−6.89810 | + | 6.89810i | −0.315512 | + | 0.315512i | |||||
8.32128 | − | 8.32128i | 0.380209 | − | 0.380209i | −0.490968 | − | 0.871177i | ||
0.871177 | + | 0.490968i | ||||||||
0.626697 | + | 0.954826i | 0.0286047 | + | 0.0435816i | |||||
0 | 0 | |||||||||
11.8988 | − | 11.8988i | 0.541976 | − | 0.541976i | |||||
−0.381743 | −0.0173699 | |||||||||
− | 16.4661i | − | 0.748461i | |||||||
31.7324 | + | 6.58372i | 1.44089 | + | 0.298951i | |||||
−1.15405 | + | 1.15405i | −0.0523488 | + | 0.0523488i | |||||
26.4997i | 1.20082i | 0.799694 | + | 0.600408i | ||||||
−0.799694 | + | 0.600408i | ||||||||
7.36705i | 0.333491i | |||||||||
−1.30327 | + | 1.30327i | −0.0589360 | + | 0.0589360i | |||||
9.58700 | + | 1.98907i | 0.433096 | + | 0.0898572i | |||||
− | 14.2507i | − | 0.643123i | −0.946889 | − | 0.321562i | ||||
0.946889 | − | 0.321562i | ||||||||
−1.16330 | −0.0524457 | |||||||||
−17.8011 | + | 17.8011i | −0.801719 | + | 0.801719i | |||||
0 | 0 | |||||||||
1.63265 | + | 2.48748i | 0.0733823 | + | 0.111804i | |||||
−0.145736 | + | 0.145736i | −0.00654373 | + | 0.00654373i | |||||
−0.814460 | + | 0.814460i | −0.0365335 | + | 0.0365335i | |||||
0.111096 | − | 0.111096i | 0.00497832 | − | 0.00497832i | |||||
20.1666 | + | 20.1666i | 0.902783 | + | 0.902783i | 0.995676 | − | 0.0928929i | ||
−0.0928929 | + | 0.995676i | ||||||||
9.81500 | − | 13.9324i | 0.438940 | − | 0.623076i | |||||
1.10865 | + | 1.10865i | 0.0495308 | + | 0.0495308i | |||||
3.72081 | 0.166068 | |||||||||
−6.41738 | − | 6.41738i | −0.286137 | − | 0.286137i | 0.549414 | − | 0.835551i | ||
−0.835551 | + | 0.549414i | ||||||||
−5.86915 | −0.261433 | |||||||||
8.61081 | + | 1.78654i | 0.383176 | + | 0.0794999i | |||||
− | 1.64979i | − | 0.0733422i | |||||||
0 | 0 | |||||||||
15.7945 | + | 15.7945i | 0.700767 | + | 0.700767i | |||||
9.67201 | + | 9.67201i | 0.428704 | + | 0.428704i | 0.888187 | − | 0.459483i | ||
−0.459483 | + | 0.888187i | ||||||||
−0.144768 | + | 0.697757i | −0.00641044 | + | 0.0308972i | |||||
− | 0.214548i | − | 0.00949107i | |||||||
14.6405i | 0.647023i | |||||||||
−3.56917 | −0.157583 | |||||||||
0.193701 | − | 0.193701i | 0.00854380 | − | 0.00854380i | |||||
21.2950 | + | 32.4447i | 0.938369 | + | 1.42968i | |||||
−1.29459 | −0.0569909 | |||||||||
−2.93273 | − | 2.93273i | −0.128981 | − | 0.128981i | |||||
3.32366i | 0.146033i | |||||||||
−0.562762 | −0.0247025 | |||||||||
0 | 0 | |||||||||
−29.1893 | −1.27881 | −0.639403 | − | 0.768872i | ||||||
−0.639403 | + | 0.768872i | ||||||||
9.88816i | 0.432793i | |||||||||
10.0289 | + | 10.0289i | 0.438533 | + | 0.438533i | 0.891518 | − | 0.452985i | ||
−0.452985 | + | 0.891518i | ||||||||
32.2661 | 1.40955 | |||||||||
−0.130380 | − | 0.330016i | −0.00569025 | − | 0.0144031i | |||||
13.1899 | − | 13.1899i | 0.575108 | − | 0.575108i | |||||
−0.789148 | −0.0343758 | |||||||||
− | 0.0536663i | − | 0.00233553i | |||||||
− | 5.93490i | − | 0.258039i | |||||||
−6.72453 | − | 10.2454i | −0.292095 | − | 0.445031i | |||||
4.65707 | + | 4.65707i | 0.202100 | + | 0.202100i | |||||
−5.89071 | − | 5.89071i | −0.255395 | − | 0.255395i | |||||
0 | 0 | |||||||||
− | 0.523432i | − | 0.0226511i | |||||||
−6.03387 | − | 9.19310i | −0.260867 | − | 0.397452i | |||||
−28.2249 | −1.21913 | |||||||||
−0.323635 | − | 0.323635i | −0.0139659 | − | 0.0139659i | |||||
4.69184 | 0.202279 | |||||||||
−1.99638 | − | 1.99638i | −0.0859901 | − | 0.0859901i | |||||
−0.985632 | − | 1.50169i | −0.0424148 | − | 0.0646226i | |||||
10.8210 | + | 10.8210i | 0.465233 | + | 0.465233i | 0.900366 | − | 0.435133i | ||
−0.435133 | + | 0.900366i | ||||||||
0.823278 | − | 0.823278i | 0.0353628 | − | 0.0353628i | |||||
−0.667164 | + | 0.667164i | −0.0286307 | + | 0.0286307i | |||||
−21.5773 | + | 21.5773i | −0.925120 | + | 0.925120i | |||||
15.1803 | − | 9.96353i | 0.650251 | − | 0.426791i | |||||
0 | 0 | |||||||||
0.334432 | − | 0.334432i | 0.0142993 | − | 0.0142993i | −0.699921 | − | 0.714220i | ||
0.714220 | + | 0.699921i | ||||||||
23.2252 | 0.992133 | |||||||||
− | 9.06906i | − | 0.387058i | |||||||
1.42624 | − | 0.563469i | 0.0608153 | − | 0.0240264i | |||||
−22.9460 | + | 22.9460i | −0.977531 | + | 0.977531i | |||||
1.14989i | 0.0489427i | |||||||||
7.24957i | 0.308283i | |||||||||
−5.15938 | + | 5.15938i | −0.219201 | + | 0.219201i | |||||
−0.981814 | + | 0.644411i | −0.0416757 | + | 0.0273537i | |||||
18.0958i | 0.767435i | |||||||||
34.3584 | 1.45581 | 0.727906 | − | 0.685677i | ||||||
0.727906 | + | 0.685677i | ||||||||
−0.219179 | + | 0.219179i | −0.00927857 | + | 0.00927857i | |||||
0 | 0 | |||||||||
0.503001 | − | 2.42438i | 0.0212557 | − | 0.102449i | |||||
0.145300 | − | 0.145300i | 0.00613455 | − | 0.00613455i | |||||
0.650816 | − | 0.650816i | 0.0274530 | − | 0.0274530i | |||||
−19.0692 | + | 19.0692i | −0.803671 | + | 0.803671i | −0.983667 | − | 0.179996i | ||
0.179996 | + | 0.983667i | ||||||||
0.884102 | + | 0.884102i | 0.0372274 | + | 0.0372274i | |||||
−8.90450 | + | 5.84444i | −0.374615 | + | 0.245878i | |||||
−2.07427 | − | 2.07427i | −0.0871882 | − | 0.0871882i | |||||
7.20638 | 0.302640 | |||||||||
2.45333 | + | 2.45333i | 0.102940 | + | 0.102940i | |||||
36.5069 | 1.53045 | 0.765224 | − | 0.643765i | ||||||
0.765224 | + | 0.643765i | ||||||||
−0.186609 | + | 0.899425i | −0.00781620 | + | 0.0376728i | |||||
− | 31.2687i | − | 1.30855i | −0.756255 | − | 0.654277i | ||||
0.756255 | − | 0.654277i | ||||||||
0 | 0 | |||||||||
−1.00341 | − | 1.00341i | −0.0419178 | − | 0.0419178i | |||||
−3.41495 | − | 3.41495i | −0.142537 | − | 0.142537i | |||||
25.0142 | − | 9.88240i | 1.04316 | − | 0.412125i | |||||
3.77373i | 0.157239i | |||||||||
− | 28.3409i | − | 1.17985i | −0.807460 | − | 0.589923i | ||||
0.807460 | − | 0.589923i | ||||||||
−7.31477 | −0.304254 | |||||||||
−0.472958 | + | 0.472958i | −0.0196554 | + | 0.0196554i | |||||
−15.9908 | − | 3.31772i | −0.663983 | − | 0.137761i | |||||
−2.09019 | −0.0867158 | |||||||||
−0.621620 | − | 0.621620i | −0.0257670 | − | 0.0257670i | |||||
3.53378i | 0.146354i | |||||||||
−0.646268 | −0.0267427 | |||||||||
0 | 0 | |||||||||
4.65056 | 0.192113 | |||||||||
− | 21.1182i | − | 0.871643i | −0.900033 | − | 0.435822i | ||||
0.900033 | − | 0.435822i | ||||||||
0.601828 | + | 0.601828i | 0.0248190 | + | 0.0248190i | |||||
−1.01723 | −0.0419142 | |||||||||
2.83779 | − | 1.86257i | 0.116830 | − | 0.0766809i | |||||
−0.304781 | + | 0.304781i | −0.0125370 | + | 0.0125370i | |||||
−8.19483 | −0.336805 | |||||||||
− | 12.8500i | − | 0.527685i | −0.964566 | − | 0.263843i | ||||
0.964566 | − | 0.263843i | ||||||||
− | 0.161631i | − | 0.00663180i | |||||||
7.92577 | − | 5.20206i | 0.324925 | − | 0.213264i | |||||
−14.5430 | − | 14.5430i | −0.595704 | − | 0.595704i | |||||
1.24224 | + | 1.24224i | 0.0508416 | + | 0.0508416i | |||||
0 | 0 | |||||||||
− | 3.15330i | − | 0.128840i | −0.997923 | − | 0.0644201i | ||||
0.997923 | − | 0.0644201i | ||||||||
−0.994082 | + | 0.392734i | −0.0405832 | + | 0.0160333i | |||||
23.7424 | 0.968472 | 0.484236 | − | 0.874938i | ||||||
0.484236 | + | 0.874938i | ||||||||
−3.80033 | − | 3.80033i | −0.154890 | − | 0.154890i | |||||
34.7458 | 1.41496 | |||||||||
5.89466 | + | 5.89466i | 0.239850 | + | 0.239850i | |||||
23.6509 | + | 4.90700i | 0.961545 | + | 0.199498i | |||||
−0.168681 | − | 0.168681i | −0.00685220 | − | 0.00685220i | |||||
−3.00186 | + | 3.00186i | −0.121842 | + | 0.121842i | −0.765399 | − | 0.643557i | ||
0.643557 | + | 0.765399i | ||||||||
−27.8136 | + | 27.8136i | −1.12799 | + | 1.12799i | |||||
−0.240439 | + | 0.240439i | −0.00974308 | + | 0.00974308i | |||||
−4.57668 | − | 0.949553i | −0.185304 | − | 0.0384463i | |||||
0 | 0 | |||||||||
16.9458 | − | 16.9458i | 0.684995 | − | 0.684995i | |||||
−43.6898 | −1.76461 | −0.882306 | − | 0.470676i | ||||||
−0.882306 | + | 0.470676i | ||||||||
− | 6.62585i | − | 0.267397i | |||||||
0.346670 | − | 1.67089i | 0.0139791 | − | 0.0673769i | |||||
0.616770 | − | 0.616770i | 0.0248504 | − | 0.0248504i | |||||
14.4409i | 0.581367i | 0.956819 | + | 0.290684i | ||||||
−0.956819 | + | 0.290684i | ||||||||
− | 1.05273i | − | 0.0423471i | |||||||
3.86804 | − | 3.86804i | 0.155470 | − | 0.155470i | −0.625086 | − | 0.780556i | ||
0.780556 | + | 0.625086i | ||||||||
−0.280909 | − | 0.427989i | −0.0112816 | − | 0.0171884i | |||||
− | 2.83477i | − | 0.113755i | |||||||
−3.60329 | −0.144479 | |||||||||
−4.92401 | + | 4.92401i | −0.197276 | + | 0.197276i | |||||
0 | 0 | |||||||||
17.0867 | + | 18.2495i | 0.683466 | + | 0.729982i | |||||
−1.64132 | + | 1.64132i | −0.0656004 | + | 0.0656004i | |||||
0.187294 | − | 0.187294i | 0.00747982 | − | 0.00747982i | |||||
−18.3223 | + | 18.3223i | −0.731137 | + | 0.731137i | |||||
−22.1872 | − | 22.1872i | −0.884662 | − | 0.884662i | |||||
0.756486 | − | 3.64613i | 0.0301391 | − | 0.145265i | |||||
19.3475 | + | 19.3475i | 0.770211 | + | 0.770211i | 0.978143 | − | 0.207932i | ||
−0.207932 | + | 0.978143i | ||||||||
21.8373 | 0.868642 | |||||||||
−0.727388 | − | 0.727388i | −0.0289111 | − | 0.0289111i | |||||
10.2116 | 0.405556 | |||||||||
−27.3930 | + | 17.9793i | −1.08706 | + | 0.713487i | |||||
− | 1.06529i | − | 0.0422417i | |||||||
0 | 0 | |||||||||
−1.03911 | − | 1.03911i | −0.0411390 | − | 0.0411390i | |||||
−3.02013 | − | 3.02013i | −0.119475 | − | 0.119475i | |||||
−23.5273 | − | 4.88135i | −0.929998 | − | 0.192952i | |||||
35.8310i | 1.41524i | 0.706593 | + | 0.707620i | ||||||
−0.706593 | + | 0.707620i | ||||||||
0.298288i | 0.0117725i | |||||||||
−5.93411 | −0.234019 | −0.117009 | − | 0.993131i | ||||||
−0.117009 | + | 0.993131i | ||||||||
4.67862 | − | 4.67862i | 0.184363 | − | 0.184363i | |||||
0.385793 | − | 1.85946i | 0.0151906 | − | 0.0732161i | |||||
−24.5424 | −0.965607 | |||||||||
4.39835 | + | 4.39835i | 0.172917 | + | 0.172917i | 0.788260 | − | 0.615343i | ||
−0.615343 | + | 0.788260i | ||||||||
− | 21.7072i | − | 0.852740i | |||||||
−0.978793 | −0.0384210 | |||||||||
0 | 0 | |||||||||
−0.0106590 | −0.000417760 | |||||||||
− | 31.9457i | − | 1.25109i | |||||||
−21.8121 | − | 21.8121i | −0.853575 | − | 0.853575i | 0.136997 | − | 0.990571i | ||
−0.990571 | + | 0.136997i | ||||||||
−0.492553 | −0.0192604 | |||||||||
−9.61546 | + | 46.3449i | −0.375707 | + | 1.81084i | |||||
8.41991 | − | 8.41991i | 0.328742 | − | 0.328742i | |||||
0.795576 | 0.0310384 | |||||||||
5.19067i | 0.202353i | |||||||||
26.7893i | 1.04356i | 0.853079 | + | 0.521782i | ||||||
−0.853079 | + | 0.521782i | ||||||||
0.130524 | + | 0.0270806i | 0.00508063 | + | 0.00105411i | |||||
−9.23307 | − | 9.23307i | −0.359125 | − | 0.359125i | 0.504365 | − | 0.863490i | ||
−0.863490 | + | 0.504365i | ||||||||
−7.60238 | − | 7.60238i | −0.295475 | − | 0.295475i | |||||
0 | 0 | |||||||||
6.29612i | 0.244337i | |||||||||
10.2165 | − | 6.70557i | 0.396179 | − | 0.260031i | |||||
−12.3246 | −0.477568 | |||||||||
−18.2245 | − | 18.2245i | −0.705657 | − | 0.705657i | |||||
−27.1751 | −1.05144 | |||||||||
0.176047 | + | 0.176047i | 0.00680638 | + | 0.00680638i | |||||
3.63797 | − | 17.5344i | 0.140547 | − | 0.677412i | |||||
0.953039 | + | 0.953039i | 0.0367917 | + | 0.0367917i | |||||
−0.291445 | + | 0.291445i | −0.0112427 | + | 0.0112427i | |||||
23.0361 | − | 23.0361i | 0.887977 | − | 0.887977i | −0.106351 | − | 0.994329i | ||
0.994329 | + | 0.106351i | ||||||||
12.5485 | − | 12.5485i | 0.483351 | − | 0.483351i | |||||
2.45066 | − | 0.968184i | 0.0943258 | − | 0.0372654i | |||||
0 | 0 | |||||||||
7.47403 | − | 7.47403i | 0.287250 | − | 0.287250i | −0.548742 | − | 0.835992i | ||
0.835992 | + | 0.548742i | ||||||||
0.288924 | 0.0110960 | |||||||||
11.6954i | 0.448827i | |||||||||
−15.6698 | − | 23.8742i | −0.600908 | − | 0.915533i | |||||
−0.963464 | + | 0.963464i | −0.0369200 | + | 0.0369200i | |||||
− | 0.0460656i | − | 0.00176394i | |||||||
− | 1.28980i | − | 0.0493526i | −0.999695 | − | 0.0246763i | ||||
0.999695 | − | 0.0246763i | ||||||||
21.8436 | − | 21.8436i | 0.835210 | − | 0.835210i | |||||
−6.92124 | + | 33.3592i | −0.264447 | + | 1.27459i | |||||
7.42921i | 0.283649i | |||||||||
−1.80773 | −0.0689693 | |||||||||
9.37013 | − | 9.37013i | 0.357233 | − | 0.357233i | |||||
0 | 0 | |||||||||
−0.714356 | − | 0.148212i | −0.0271951 | − | 0.00564233i | |||||
−13.2988 | + | 13.2988i | −0.505911 | + | 0.505911i | −0.913269 | − | 0.407358i | ||
0.407358 | + | 0.913269i | ||||||||
6.89719 | − | 6.89719i | 0.262192 | − | 0.262192i | |||||
−0.759263 | + | 0.759263i | −0.0288420 | + | 0.0288420i | |||||
−11.6621 | − | 11.6621i | −0.442687 | − | 0.442687i | |||||
−25.9917 | − | 5.39266i | −0.985921 | − | 0.204555i | |||||
0.724256 | + | 0.724256i | 0.0274528 | + | 0.0274528i | |||||
45.5932 | 1.72697 | |||||||||
5.33344 | + | 5.33344i | 0.201874 | + | 0.201874i | |||||
0.602631 | 0.0227936 | |||||||||
5.64260 | + | 2.44673i | 0.213270 | + | 0.0924778i | |||||
21.8278i | 0.824425i | 0.911088 | + | 0.412212i | ||||||
−0.911088 | + | 0.412212i | ||||||||
0 | 0 | |||||||||
−28.5998 | − | 28.5998i | −1.07866 | − | 1.07866i | |||||
−0.396569 | − | 0.396569i | −0.0149462 | − | 0.0149462i | |||||
−1.53333 | + | 1.00640i | −0.0577487 | + | 0.0379032i | |||||
0.598139i | 0.0225113i | |||||||||
3.17362i | 0.119356i | |||||||||
0.295067 | 0.0110893 | |||||||||
18.2874 | − | 18.2874i | 0.686798 | − | 0.686798i | −0.274725 | − | 0.961523i | ||
0.961523 | + | 0.274725i | ||||||||
−1.84032 | + | 1.20789i | −0.0690658 | + | 0.0453312i | |||||
−26.8824 | −1.00817 | |||||||||
14.8322 | + | 14.8322i | 0.555861 | + | 0.555861i | |||||
− | 0.807921i | − | 0.0302569i | |||||||
−0.257167 | −0.00962423 | |||||||||
0 | 0 | |||||||||
7.93292 | 0.296467 | |||||||||
− | 1.24396i | − | 0.0464564i | |||||||
−13.2994 | − | 13.2994i | −0.496330 | − | 0.496330i | |||||
−17.7717 | −0.662771 | −0.331385 | − | 0.943495i | ||||||
−0.331385 | + | 0.943495i | ||||||||
8.98993 | + | 1.86520i | 0.335035 | + | 0.0695118i | |||||
−9.90321 | + | 9.90321i | −0.368815 | + | 0.368815i | |||||
−18.5315 | −0.689672 | |||||||||
2.14575i | 0.0798013i | |||||||||
− | 16.3535i | − | 0.607772i | |||||||
9.53071 | − | 21.9795i | 0.353962 | − | 0.816298i | |||||
−0.463308 | − | 0.463308i | −0.0171950 | − | 0.0171950i | |||||
14.6033 | + | 14.6033i | 0.541607 | + | 0.541607i | 0.924000 | − | 0.382393i | ||
−0.382393 | + | 0.924000i | ||||||||
0 | 0 | |||||||||
26.5832i | 0.984564i | |||||||||
0.0832987 | − | 0.401485i | 0.00308302 | − | 0.0148596i | |||||
50.7386 | 1.87663 | |||||||||
−0.287303 | − | 0.287303i | −0.0106190 | − | 0.0106190i | |||||
5.44505 | 0.201118 | 0.100559 | − | 0.994931i | ||||||
0.100559 | + | 0.994931i | ||||||||
−8.08614 | − | 8.08614i | −0.298465 | − | 0.298465i | |||||
−1.04377 | + | 0.685078i | −0.0385002 | + | 0.0252695i | |||||
−22.0906 | − | 22.0906i | −0.814271 | − | 0.814271i | |||||
−3.65132 | + | 3.65132i | −0.134498 | + | 0.134498i | |||||
12.6631 | − | 12.6631i | 0.466135 | − | 0.466135i | |||||
−21.6891 | + | 21.6891i | −0.797846 | + | 0.797846i | −0.982756 | − | 0.184910i | ||
0.184910 | + | 0.982756i | ||||||||
4.13520 | − | 19.9309i | 0.152013 | − | 0.732676i | |||||
0 | 0 | |||||||||
3.12723 | − | 3.12723i | 0.114804 | − | 0.114804i | |||||
0.675576 | 0.0247845 | 0.0123922 | − | 0.999923i | ||||||
0.0123922 | + | 0.999923i | ||||||||
0.0321074i | 0.00117711i | |||||||||
25.2225 | − | 16.5547i | 0.924080 | − | 0.606517i | |||||
3.57860 | − | 3.57860i | 0.131022 | − | 0.131022i | |||||
− | 7.75072i | − | 0.283584i | |||||||
3.56157i | 0.130224i | |||||||||
2.80604 | − | 2.80604i | 0.102531 | − | 0.102531i | |||||
−0.115851 | − | 0.668181i | −0.00423029 | − | 0.0243985i | |||||
5.64380i | 0.205945i | 0.994684 | + | 0.102973i | ||||||
−0.994684 | + | 0.102973i | ||||||||
−12.7982 | −0.466701 | |||||||||
−0.335492 | + | 0.335492i | −0.0122260 | + | 0.0122260i | |||||
0 | 0 | |||||||||
−10.2233 | + | 6.71006i | −0.372065 | + | 0.244204i | |||||
0.458367 | − | 0.458367i | 0.0166706 | − | 0.0166706i | |||||
21.3676 | − | 21.3676i | 0.776619 | − | 0.776619i | −0.202635 | − | 0.979254i | ||
0.979254 | + | 0.202635i | ||||||||
−16.3672 | + | 16.3672i | −0.594484 | + | 0.594484i | |||||
0.148756 | + | 0.148756i | 0.00539950 | + | 0.00539950i | |||||
−20.1987 | − | 30.7743i | −0.732682 | − | 1.11630i | |||||
13.3384 | + | 13.3384i | 0.483516 | + | 0.483516i | 0.906253 | − | 0.422736i | ||
−0.422736 | + | 0.906253i | ||||||||
0.888819 | 0.0321985 | |||||||||
4.63353 | + | 4.63353i | 0.167745 | + | 0.167745i | |||||
24.5954 | 0.889829 | |||||||||
19.2900 | + | 29.3899i | 0.697430 | + | 1.06259i | |||||
20.2597i | 0.732013i | |||||||||
0 | 0 | |||||||||
0.617743 | + | 0.617743i | 0.0222909 | + | 0.0222909i | |||||
8.21751 | + | 8.21751i | 0.296331 | + | 0.296331i | 0.839575 | − | 0.543244i | ||
−0.543244 | + | 0.839575i | ||||||||
0.303664 | + | 0.462657i | 0.0109433 | + | 0.0166730i | |||||
0.0349307i | 0.00125800i | |||||||||
− | 11.5931i | − | 0.417244i | |||||||
−8.29320 | −0.298286 | −0.149143 | − | 0.988816i | ||||||
−0.149143 | + | 0.988816i | ||||||||
14.0922 | − | 14.0922i | 0.506533 | − | 0.506533i | |||||
0.698448 | − | 0.275937i | 0.0250890 | − | 0.00991194i | |||||
35.2290 | 1.26465 | |||||||||
−0.299683 | − | 0.299683i | −0.0107511 | − | 0.0107511i | |||||
− | 19.9209i | − | 0.714198i | |||||||
58.7707 | 2.10568 | |||||||||
0 | 0 | |||||||||
0.634752 | 0.0227132 | |||||||||
− | 19.4925i | − | 0.697049i | |||||||
−1.78547 | − | 1.78547i | −0.0638074 | − | 0.0638074i | |||||
−8.71199 | −0.311142 | |||||||||
−20.8568 | − | 31.7770i | −0.744409 | − | 1.13417i | |||||
0.907871 | − | 0.907871i | 0.0323827 | − | 0.0323827i | |||||
−48.6606 | −1.73456 | −0.867282 | − | 0.497817i | ||||||
−0.867282 | + | 0.497817i | ||||||||
− | 7.47076i | − | 0.266135i | |||||||
2.37858i | 0.0846797i | |||||||||
−2.81465 | + | 13.5661i | −0.100141 | + | 0.482662i | |||||
−2.71795 | − | 2.71795i | −0.0966392 | − | 0.0966392i | |||||
2.28707 | + | 2.28707i | 0.0812675 | + | 0.0812675i | |||||
0 | 0 | |||||||||
4.06290i | 0.144187i | |||||||||
1.53012 | + | 0.317463i | 0.0542677 | + | 0.0112593i | |||||
−30.4498 | −1.07926 | |||||||||
−36.6678 | − | 36.6678i | −1.29884 | − | 1.29884i | −0.929159 | − | 0.369679i | ||
−0.369679 | − | 0.929159i | ||||||||
−0.331494 | −0.0117348 | |||||||||
−34.6505 | − | 34.6505i | −1.22585 | − | 1.22585i | |||||
11.5525 | − | 26.6421i | 0.408443 | − | 0.941942i | |||||
−18.2589 | − | 18.2589i | −0.645147 | − | 0.645147i | |||||
1.76653 | − | 1.76653i | 0.0623785 | − | 0.0623785i | |||||
−0.0836045 | + | 0.0836045i | −0.00295034 | + | 0.00295034i | |||||
1.10073 | − | 1.10073i | 0.0388197 | − | 0.0388197i | |||||
5.32581 | + | 8.11432i | 0.187710 | + | 0.285992i | |||||
0 | 0 | |||||||||
−0.423047 | + | 0.423047i | −0.0148920 | + | 0.0148920i | |||||
9.55965 | 0.336307 | |||||||||
11.3889i | 0.400413i | 0.979754 | + | 0.200206i | ||||||
−0.979754 | + | 0.200206i | ||||||||
13.4853 | + | 2.79789i | 0.473826 | + | 0.0983077i | |||||
23.0388 | − | 23.0388i | 0.809003 | − | 0.809003i | −0.175480 | − | 0.984483i | ||
0.984483 | + | 0.175480i | ||||||||
− | 5.89362i | − | 0.206825i | |||||||
0.148464i | 0.00520687i | |||||||||
1.29515 | − | 1.29515i | 0.0453950 | − | 0.0453950i | |||||
45.8847 | + | 9.51999i | 1.60727 | + | 0.333471i | |||||
− | 0.634073i | − | 0.0221970i | |||||||
65.4031 | 2.28817 | |||||||||
−5.85536 | + | 5.85536i | −0.204728 | + | 0.204728i | |||||
0 | 0 | |||||||||
16.2296 | + | 24.7271i | 0.566762 | + | 0.863509i | |||||
7.31750 | − | 7.31750i | 0.255383 | − | 0.255383i | −0.567790 | − | 0.823173i | ||
0.823173 | + | 0.567790i | ||||||||
0.653489 | − | 0.653489i | 0.0227930 | − | 0.0227930i | |||||
−7.13667 | + | 7.13667i | −0.248769 | + | 0.248769i | −0.820465 | − | 0.571697i | ||
0.571697 | + | 0.820465i | ||||||||
29.8307 | + | 29.8307i | 1.03920 | + | 1.03920i | |||||
−0.0777936 | + | 0.179406i | −0.00270842 | + | 0.00624610i | |||||
0.866187 | + | 0.866187i | 0.0301385 | + | 0.0301385i | |||||
8.88196 | 0.308856 | 0.154428 | − | 0.988004i | ||||||
0.154428 | + | 0.988004i | ||||||||
17.3490 | + | 17.3490i | 0.602918 | + | 0.602918i | |||||
10.4462 | 0.362812 | 0.181406 | − | 0.983408i | ||||||
0.181406 | + | 0.983408i | ||||||||
−3.91138 | − | 0.811519i | −0.135766 | − | 0.0281682i | |||||
− | 0.930407i | − | 0.0322755i | |||||||
0 | 0 | |||||||||
−23.5874 | − | 23.5874i | −0.817255 | − | 0.817255i | |||||
0.509163 | + | 0.509163i | 0.0176309 | + | 0.0176309i | |||||
8.09834 | − | 39.0326i | 0.280255 | − | 1.35078i | |||||
4.59094i | 0.158781i | |||||||||
− | 0.0791525i | − | 0.00273591i | |||||||
−8.70202 | −0.300606 | |||||||||
18.5309 | − | 18.5309i | 0.639759 | − | 0.639759i | −0.310737 | − | 0.950496i | ||
0.950496 | + | 0.310737i | ||||||||
−0.211651 | − | 0.322469i | −0.00730267 | − | 0.0111262i | |||||
6.04271 | 0.208369 | |||||||||
−1.87745 | − | 1.87745i | −0.0647012 | − | 0.0647012i | |||||
0.117364i | 0.00404222i | |||||||||
17.8297 | 0.613723 | |||||||||
0 | 0 | |||||||||
−19.2477 | −0.661751 | |||||||||
8.71682i | 0.299513i | |||||||||
7.71053 | + | 7.71053i | 0.264781 | + | 0.264781i | |||||
0.374060 | 0.0128377 | |||||||||
16.8512 | − | 6.65744i | 0.577992 | − | 0.228348i | |||||
22.7150 | − | 22.7150i | 0.778661 | − | 0.778661i | |||||
−0.191352 | −0.00655562 | |||||||||
− | 30.8130i | − | 1.05502i | −0.849550 | − | 0.527509i | ||||
0.849550 | − | 0.527509i | ||||||||
− | 1.68679i | − | 0.0577208i | |||||||
24.8652 | + | 37.8842i | 0.850371 | + | 1.29561i | |||||
−8.45243 | − | 8.45243i | −0.288898 | − | 0.288898i | |||||
−7.54399 | − | 7.54399i | −0.257698 | − | 0.257698i | 0.566419 | − | 0.824117i | ||
−0.824117 | + | 0.566419i | ||||||||
0 | 0 | |||||||||
− | 9.75562i | − | 0.332857i | −0.986053 | − | 0.166429i | ||||
0.986053 | − | 0.166429i | ||||||||
18.0612 | + | 27.5177i | 0.615880 | + | 0.938346i | |||||
0.615828 | 0.0209873 | |||||||||
−6.80856 | − | 6.80856i | −0.231900 | − | 0.231900i | |||||
−35.0410 | −1.19281 | −0.596405 | − | 0.802683i | ||||||
−0.596405 | + | 0.802683i | ||||||||
−2.16423 | − | 2.16423i | −0.0736286 | − | 0.0736286i | |||||
7.85127 | + | 11.9621i | 0.266951 | + | 0.406723i | |||||
16.6304 | + | 16.6304i | 0.565124 | + | 0.565124i | |||||
0.659548 | − | 0.659548i | 0.0223994 | − | 0.0223994i | |||||
0.130637 | − | 0.130637i | 0.00443409 | − | 0.00443409i | |||||
2.82499 | − | 2.82499i | 0.0958311 | − | 0.0958311i | |||||
−0.543285 | + | 0.356584i | −0.0184191 | + | 0.0120893i | |||||
0 | 0 | |||||||||
13.9572 | − | 13.9572i | 0.472651 | − | 0.472651i | |||||
−43.3680 | −1.46778 | |||||||||
− | 25.1262i | − | 0.849907i | |||||||
−5.19585 | + | 7.37551i | −0.175652 | + | 0.249338i | |||||
0.0252034 | − | 0.0252034i | 0.000851545 | − | 0.000851545i | |||||
− | 37.9152i | − | 1.28030i | −0.768248 | − | 0.640152i | ||||
0.768248 | − | 0.640152i | ||||||||
− | 20.0589i | − | 0.676956i | |||||||
−0.419325 | + | 0.419325i | −0.0141435 | + | 0.0141435i | |||||
−1.14073 | + | 0.748715i | −0.0384540 | + | 0.0252392i | |||||
− | 18.6214i | − | 0.627370i | −0.949527 | − | 0.313685i | ||||
0.949527 | − | 0.313685i | ||||||||
−13.1024 | −0.441179 | |||||||||
13.2901 | − | 13.2901i | 0.447248 | − | 0.447248i | −0.447191 | − | 0.894439i | ||
0.894439 | + | 0.447191i | ||||||||
0 | 0 | |||||||||
−0.0879316 | + | 0.423815i | −0.00295579 | + | 0.0142464i | |||||
−4.95870 | + | 4.95870i | −0.166591 | + | 0.166591i | |||||
−27.6979 | + | 27.6979i | −0.930004 | + | 0.930004i | −0.997706 | − | 0.0677017i | ||
0.0677017 | + | 0.997706i | ||||||||
−0.902711 | + | 0.902711i | −0.0302930 | + | 0.0302930i | |||||
−8.36126 | − | 8.36126i | −0.280428 | − | 0.280428i | |||||
−11.1261 | + | 7.30257i | −0.372947 | + | 0.244783i | |||||
−2.80816 | − | 2.80816i | −0.0940768 | − | 0.0940768i | |||||
−4.31525 | −0.144485 | |||||||||
−44.6653 | − | 44.6653i | −1.49467 | − | 1.49467i | |||||
−0.818392 | −0.0273711 | |||||||||
−2.36405 | + | 11.3943i | −0.0790216 | + | 0.380870i | |||||
− | 8.67127i | − | 0.289687i | |||||||
0 | 0 | |||||||||
−7.78067 | − | 7.78067i | −0.259644 | − | 0.259644i | |||||
−0.508866 | − | 0.508866i | −0.0169716 | − | 0.0169716i | |||||
−9.07283 | + | 20.9235i | −0.302428 | + | 0.697451i | |||||
41.7520i | 1.39096i | |||||||||
2.66145i | 0.0886165i | |||||||||
0.685326 | 0.0228062 | |||||||||
−8.18707 | + | 8.18707i | −0.272298 | + | 0.272298i | |||||
23.4890 | + | 4.87342i | 0.780802 | + | 0.161998i | |||||
0.331716 | 0.0110205 | |||||||||
−26.8910 | − | 26.8910i | −0.892900 | − | 0.892900i | 0.101895 | − | 0.994795i | ||
−0.994795 | + | 0.101895i | ||||||||
− | 23.6163i | − | 0.783735i | |||||||
−11.7682 | −0.390327 | |||||||||
0 | 0 | |||||||||
−30.2074 | −1.00081 | −0.500407 | − | 0.865790i | ||||||
−0.500407 | + | 0.865790i | ||||||||
− | 0.817334i | − | 0.0270646i | |||||||
0.814499 | + | 0.814499i | 0.0269560 | + | 0.0269560i | |||||
−13.2621 | −0.438671 | |||||||||
0.498281 | − | 0.327046i | 0.0164727 | − | 0.0108118i | |||||
22.1555 | − | 22.1555i | 0.732038 | − | 0.732038i | |||||
−17.0810 | −0.564063 | |||||||||
− | 1.90969i | − | 0.0630291i | |||||||
39.1747i | 1.29225i | 0.763230 | + | 0.646127i | ||||||
−0.763230 | + | 0.646127i | ||||||||
24.4421 | − | 16.0425i | 0.805833 | − | 0.528906i | |||||
0.597430 | + | 0.597430i | 0.0196860 | + | 0.0196860i | |||||
−2.16143 | − | 2.16143i | −0.0711828 | − | 0.0711828i | |||||
0 | 0 | |||||||||
0.0481061i | 0.00158258i | |||||||||
27.3952 | + | 11.8791i | 0.900748 | + | 0.390581i | |||||
8.45451 | 0.277833 | |||||||||
−36.7225 | − | 36.7225i | −1.20612 | − | 1.20612i | |||||
−27.8274 | −0.913478 | |||||||||
−24.2932 | − | 24.2932i | −0.797034 | − | 0.797034i | 0.185593 | − | 0.982627i | ||
−0.982627 | + | 0.185593i | ||||||||
−0.0199463 | − | 0.00413838i | −0.000654064 | − | 0.000135703i | |||||
−30.4047 | − | 30.4047i | −0.996473 | − | 0.996473i | |||||
−7.38582 | + | 7.38582i | −0.241930 | + | 0.241930i | |||||
0.324896 | − | 0.324896i | 0.0106366 | − | 0.0106366i | |||||
−7.25130 | + | 7.25130i | −0.237270 | + | 0.237270i | |||||
−5.11561 | − | 1.06137i | −0.167298 | − | 0.0347104i | |||||
0 | 0 | |||||||||
12.4007 | − | 12.4007i | 0.405113 | − | 0.405113i | −0.474917 | − | 0.880030i | ||
0.880030 | + | 0.474917i | ||||||||
6.46251 | 0.211008 | |||||||||
− | 0.295985i | − | 0.00965910i | |||||||
6.45809 | − | 31.1269i | 0.210640 | − | 1.01525i | |||||
0.542863 | − | 0.542863i | 0.0176968 | − | 0.0176968i | −0.698203 | − | 0.715900i | ||
0.715900 | + | 0.698203i | ||||||||
1.03107i | 0.0335940i | |||||||||
46.6778i | 1.52004i | |||||||||
−2.13568 | + | 2.13568i | −0.0695104 | + | 0.0695104i | |||||
0.521772 | + | 0.794964i | 0.0169733 | + | 0.0258602i | |||||
2.96180i | 0.0962965i | |||||||||
27.7644 | 0.902222 | 0.451111 | − | 0.892468i | ||||||
0.451111 | + | 0.892468i | ||||||||
−0.851621 | + | 0.851621i | −0.0276594 | + | 0.0276594i | |||||
0 | 0 | |||||||||
21.7216 | − | 8.58158i | 0.704742 | − | 0.278423i | |||||
−0.920748 | + | 0.920748i | −0.0298573 | + | 0.0298573i | |||||
7.28720 | − | 7.28720i | 0.236180 | − | 0.236180i | |||||
−6.15610 | + | 6.15610i | −0.199416 | + | 0.199416i | −0.799750 | − | 0.600334i | ||
0.600334 | + | 0.799750i | ||||||||
11.5962 | + | 11.5962i | 0.375442 | + | 0.375442i | |||||
−7.32955 | + | 35.3272i | −0.237179 | + | 1.14316i | |||||
15.2459 | + | 15.2459i | 0.493087 | + | 0.493087i | |||||
0.187387 | 0.00605736 | |||||||||
5.73912 | + | 5.73912i | 0.185423 | + | 0.185423i | |||||
−12.2949 | −0.397024 | |||||||||
−0.207340 | + | 0.136087i | −0.00669186 | + | 0.00439218i | |||||
30.9774i | 0.999272i | |||||||||
0 | 0 | |||||||||
10.4052 | + | 10.4052i | 0.335303 | + | 0.335303i | |||||
−26.2982 | − | 26.2982i | −0.847008 | − | 0.847008i | |||||
16.6516 | + | 3.45480i | 0.536033 | + | 0.111214i | |||||
− | 0.263285i | − | 0.00847105i | |||||||
0.785304i | 0.0252537i | 0.999920 | + | 0.0126268i | ||||||
−0.999920 | + | 0.0126268i | ||||||||
26.2570 | 0.843932 | |||||||||
2.21290 | − | 2.21290i | 0.0710886 | − | 0.0710886i | |||||
−4.54074 | + | 21.8856i | −0.145794 | + | 0.702703i | |||||
−47.2589 | −1.51661 | −0.758305 | − | 0.651900i | ||||||
−0.758305 | + | 0.651900i | ||||||||
2.55063 | + | 2.55063i | 0.0818115 | + | 0.0818115i | |||||
− | 9.57955i | − | 0.307106i | |||||||
−18.2766 | −0.585621 | |||||||||
0 | 0 | |||||||||
4.15897 | 0.133125 | |||||||||
4.40336i | 0.140876i | 0.997516 | + | 0.0704380i | ||||||
−0.997516 | + | 0.0704380i | ||||||||
−0.898856 | − | 0.898856i | −0.0287423 | − | 0.0287423i | |||||
3.83754 | 0.122648 | |||||||||
4.39616 | − | 21.1887i | 0.140430 | − | 0.676849i | |||||
−17.1818 | + | 17.1818i | −0.548572 | + | 0.548572i | |||||
9.82856 | 0.313642 | |||||||||
− | 33.3973i | − | 1.06521i | −0.846364 | − | 0.532604i | ||||
0.846364 | − | 0.532604i | ||||||||
− | 1.85501i | − | 0.0591355i | |||||||
10.7305 | + | 2.22633i | 0.341902 | + | 0.0709366i | |||||
−12.2772 | − | 12.2772i | −0.390987 | − | 0.390987i | |||||
−0.468025 | − | 0.468025i | −0.0148974 | − | 0.0148974i | |||||
0 | 0 | |||||||||
51.9456i | 1.65177i | |||||||||
−1.71560 | + | 1.12603i | −0.0545252 | + | 0.0357875i | |||||
−46.0539 | −1.46295 | −0.731475 | − | 0.681868i | ||||||
−0.731475 | + | 0.681868i | ||||||||
−0.616815 | − | 0.616815i | −0.0195839 | − | 0.0195839i | |||||
1.37096 | 0.0435061 | |||||||||
−0.561726 | − | 0.561726i | −0.0178169 | − | 0.0178169i | |||||
9.07419 | − | 43.7360i | 0.287671 | − | 1.38653i | |||||
−0.245539 | − | 0.245539i | −0.00778020 | − | 0.00778020i | |||||
9.23126 | − | 9.23126i | 0.292357 | − | 0.292357i | −0.545654 | − | 0.838011i | ||
0.838011 | + | 0.545654i | ||||||||
−13.9088 | + | 13.9088i | −0.440275 | + | 0.440275i | |||||
2.22540 | − | 2.22540i | 0.0704086 | − | 0.0704086i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 845.2.f.f.408.20 | yes | 72 | |
5.2 | odd | 4 | 845.2.k.f.577.17 | yes | 72 | ||
13.2 | odd | 12 | 845.2.o.i.488.17 | 144 | |||
13.3 | even | 3 | 845.2.t.i.188.17 | 144 | |||
13.4 | even | 6 | 845.2.t.i.418.17 | 144 | |||
13.5 | odd | 4 | 845.2.k.f.268.20 | yes | 72 | ||
13.6 | odd | 12 | 845.2.o.i.258.17 | 144 | |||
13.7 | odd | 12 | 845.2.o.i.258.20 | 144 | |||
13.8 | odd | 4 | 845.2.k.f.268.17 | yes | 72 | ||
13.9 | even | 3 | 845.2.t.i.418.20 | 144 | |||
13.10 | even | 6 | 845.2.t.i.188.20 | 144 | |||
13.11 | odd | 12 | 845.2.o.i.488.20 | 144 | |||
13.12 | even | 2 | inner | 845.2.f.f.408.17 | ✓ | 72 | |
65.2 | even | 12 | 845.2.t.i.657.17 | 144 | |||
65.7 | even | 12 | 845.2.t.i.427.17 | 144 | |||
65.12 | odd | 4 | 845.2.k.f.577.20 | yes | 72 | ||
65.17 | odd | 12 | 845.2.o.i.587.17 | 144 | |||
65.22 | odd | 12 | 845.2.o.i.587.20 | 144 | |||
65.32 | even | 12 | 845.2.t.i.427.20 | 144 | |||
65.37 | even | 12 | 845.2.t.i.657.20 | 144 | |||
65.42 | odd | 12 | 845.2.o.i.357.20 | 144 | |||
65.47 | even | 4 | inner | 845.2.f.f.437.17 | yes | 72 | |
65.57 | even | 4 | inner | 845.2.f.f.437.20 | yes | 72 | |
65.62 | odd | 12 | 845.2.o.i.357.17 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.f.f.408.17 | ✓ | 72 | 13.12 | even | 2 | inner | |
845.2.f.f.408.20 | yes | 72 | 1.1 | even | 1 | trivial | |
845.2.f.f.437.17 | yes | 72 | 65.47 | even | 4 | inner | |
845.2.f.f.437.20 | yes | 72 | 65.57 | even | 4 | inner | |
845.2.k.f.268.17 | yes | 72 | 13.8 | odd | 4 | ||
845.2.k.f.268.20 | yes | 72 | 13.5 | odd | 4 | ||
845.2.k.f.577.17 | yes | 72 | 5.2 | odd | 4 | ||
845.2.k.f.577.20 | yes | 72 | 65.12 | odd | 4 | ||
845.2.o.i.258.17 | 144 | 13.6 | odd | 12 | |||
845.2.o.i.258.20 | 144 | 13.7 | odd | 12 | |||
845.2.o.i.357.17 | 144 | 65.62 | odd | 12 | |||
845.2.o.i.357.20 | 144 | 65.42 | odd | 12 | |||
845.2.o.i.488.17 | 144 | 13.2 | odd | 12 | |||
845.2.o.i.488.20 | 144 | 13.11 | odd | 12 | |||
845.2.o.i.587.17 | 144 | 65.17 | odd | 12 | |||
845.2.o.i.587.20 | 144 | 65.22 | odd | 12 | |||
845.2.t.i.188.17 | 144 | 13.3 | even | 3 | |||
845.2.t.i.188.20 | 144 | 13.10 | even | 6 | |||
845.2.t.i.418.17 | 144 | 13.4 | even | 6 | |||
845.2.t.i.418.20 | 144 | 13.9 | even | 3 | |||
845.2.t.i.427.17 | 144 | 65.7 | even | 12 | |||
845.2.t.i.427.20 | 144 | 65.32 | even | 12 | |||
845.2.t.i.657.17 | 144 | 65.2 | even | 12 | |||
845.2.t.i.657.20 | 144 | 65.37 | even | 12 |