Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(22,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 507.e (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 6.0.64827.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 484.3 | ||
Root | of defining polynomial | ||
Character | 507.484 | ||
Dual form | 507.2.e.l.22.3 |
-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 .
1.34601 | + | 2.33136i | 0.951773 | + | 1.64852i | 0.741585 | + | 0.670859i | ||
0.210188 | + | 0.977661i | ||||||||
0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | |||||
−2.62349 | + | 4.54402i | −1.31174 | + | 2.27201i | |||||
1.04892 | 0.469090 | 0.234545 | − | 0.972105i | ||||||
0.234545 | + | 0.972105i | ||||||||
−1.34601 | + | 2.33136i | −0.549507 | + | 0.951773i | |||||
0.277479 | − | 0.480608i | 0.104877 | − | 0.181653i | −0.808811 | − | 0.588069i | ||
0.913688 | + | 0.406416i | ||||||||
−8.74094 | −3.09039 | |||||||||
−0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | |||||
1.41185 | + | 2.44540i | 0.446467 | + | 0.773304i | |||||
1.45593 | + | 2.52174i | 0.438979 | + | 0.760333i | 0.997611 | − | 0.0690822i | ||
−0.558632 | + | 0.829415i | ||||||||
−5.24698 | −1.51467 | |||||||||
0 | 0 | |||||||||
1.49396 | 0.399277 | |||||||||
0.524459 | + | 0.908389i | 0.135415 | + | 0.234545i | |||||
−6.51842 | − | 11.2902i | −1.62960 | − | 2.82256i | |||||
2.42543 | − | 4.20096i | 0.588253 | − | 1.01888i | −0.406209 | − | 0.913780i | ||
0.994461 | − | 0.105103i | ||||||||
−2.69202 | −0.634516 | |||||||||
−0.376510 | + | 0.652135i | −0.0863774 | + | 0.149610i | −0.905977 | − | 0.423326i | ||
0.819600 | + | 0.572936i | ||||||||
−2.75182 | + | 4.76630i | −0.615327 | + | 1.06578i | |||||
0.554958 | 0.121102 | |||||||||
−3.91939 | + | 6.78858i | −0.835616 | + | 1.44733i | |||||
−2.88135 | − | 4.99065i | −0.600804 | − | 1.04062i | −0.992700 | − | 0.120613i | ||
0.391896 | − | 0.920010i | ||||||||
−4.37047 | − | 7.56988i | −0.892118 | − | 1.54519i | |||||
−3.89977 | −0.779954 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.192450 | |||||||||
1.45593 | + | 2.52174i | 0.275144 | + | 0.476564i | |||||
0.955927 | + | 1.65571i | 0.177511 | + | 0.307458i | 0.941027 | − | 0.338330i | ||
−0.763516 | + | 0.645789i | ||||||||
−1.41185 | + | 2.44540i | −0.257768 | + | 0.446467i | |||||
9.51573 | 1.70908 | 0.854538 | − | 0.519389i | ||||||
0.854538 | + | 0.519389i | ||||||||
8.80678 | − | 15.2538i | 1.55683 | − | 2.69652i | |||||
−1.45593 | + | 2.52174i | −0.253444 | + | 0.438979i | |||||
13.0586 | 2.23953 | |||||||||
0.291053 | − | 0.504118i | 0.0491969 | − | 0.0852115i | |||||
−2.62349 | − | 4.54402i | −0.437248 | − | 0.757336i | |||||
2.87651 | + | 4.98226i | 0.472895 | + | 0.819079i | 0.999519 | − | 0.0310199i | ||
−0.526623 | + | 0.850099i | ||||||||
−2.02715 | −0.328847 | |||||||||
0 | 0 | |||||||||
−9.16852 | −1.44967 | |||||||||
2.45593 | + | 4.25379i | 0.383551 | + | 0.664330i | 0.991567 | − | 0.129595i | ||
−0.608016 | + | 0.793925i | ||||||||
0.746980 | + | 1.29381i | 0.115261 | + | 0.199639i | |||||
5.54892 | − | 9.61101i | 0.846202 | − | 1.46566i | −0.0383713 | − | 0.999264i | ||
0.884573 | − | 0.466401i | ||||||||
−15.2784 | −2.30331 | |||||||||
−0.524459 | + | 0.908389i | −0.0781817 | + | 0.135415i | |||||
7.75667 | − | 13.4349i | 1.14366 | − | 1.98087i | |||||
−0.753020 | −0.109839 | −0.0549197 | − | 0.998491i | ||||||
−0.0549197 | + | 0.998491i | ||||||||
6.51842 | − | 11.2902i | 0.940853 | − | 1.62960i | |||||
3.34601 | + | 5.79546i | 0.478002 | + | 0.827923i | |||||
−5.24914 | − | 9.09177i | −0.742340 | − | 1.28577i | |||||
4.85086 | 0.679256 | |||||||||
0 | 0 | |||||||||
−7.58211 | −1.04148 | −0.520741 | − | 0.853715i | ||||||
−0.520741 | + | 0.853715i | ||||||||
−1.34601 | − | 2.33136i | −0.183169 | − | 0.317258i | |||||
1.52715 | + | 2.64510i | 0.205920 | + | 0.356665i | |||||
−2.42543 | + | 4.20096i | −0.324111 | + | 0.561377i | |||||
−0.753020 | −0.0997400 | |||||||||
−2.57338 | + | 4.45722i | −0.337901 | + | 0.585261i | |||||
2.04892 | − | 3.54883i | 0.266746 | − | 0.462018i | −0.701273 | − | 0.712892i | ||
0.968020 | + | 0.250874i | ||||||||
−5.50365 | −0.710518 | |||||||||
1.71164 | − | 2.96464i | 0.219153 | − | 0.379583i | −0.735397 | − | 0.677637i | ||
0.954549 | + | 0.298054i | ||||||||
12.8083 | + | 22.1846i | 1.62665 | + | 2.81744i | |||||
0.277479 | + | 0.480608i | 0.0349591 | + | 0.0605509i | |||||
21.3424 | 2.66780 | |||||||||
0 | 0 | |||||||||
−7.83877 | −0.964886 | |||||||||
−0.936313 | − | 1.62174i | −0.114389 | − | 0.198127i | 0.803146 | − | 0.595782i | ||
−0.917535 | + | 0.397654i | ||||||||
12.7262 | + | 22.0424i | 1.54327 | + | 2.67303i | |||||
2.88135 | − | 4.99065i | 0.346874 | − | 0.600804i | |||||
1.56704 | 0.187297 | |||||||||
−5.25182 | + | 9.09643i | −0.623277 | + | 1.07955i | 0.365595 | + | 0.930774i | ||
−0.988871 | + | 0.148773i | ||||||||
4.37047 | − | 7.56988i | 0.515065 | − | 0.892118i | |||||
−10.4765 | −1.22618 | −0.613091 | − | 0.790012i | ||||||
−0.613091 | + | 0.790012i | ||||||||
−7.74363 | + | 13.4124i | −0.900178 | + | 1.55915i | |||||
−1.94989 | − | 3.37730i | −0.225153 | − | 0.389977i | |||||
−1.97554 | − | 3.42174i | −0.226610 | − | 0.392500i | |||||
1.61596 | 0.184155 | |||||||||
0 | 0 | |||||||||
1.33513 | 0.150213 | 0.0751067 | − | 0.997176i | ||||||
0.0751067 | + | 0.997176i | ||||||||
−6.83728 | − | 11.8425i | −0.764431 | − | 1.32403i | |||||
−0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | |||||
−6.61141 | + | 11.4513i | −0.730108 | + | 1.26458i | |||||
−2.64310 | −0.290118 | −0.145059 | − | 0.989423i | ||||||
−0.145059 | + | 0.989423i | ||||||||
−1.45593 | + | 2.52174i | −0.158855 | + | 0.275144i | |||||
2.54407 | − | 4.40646i | 0.275943 | − | 0.477948i | |||||
29.8756 | 3.22157 | |||||||||
−0.955927 | + | 1.65571i | −0.102486 | + | 0.177511i | |||||
−12.7262 | − | 22.0424i | −1.35661 | − | 2.34972i | |||||
4.96346 | + | 8.59696i | 0.526126 | + | 0.911276i | 0.999537 | + | 0.0304348i | ||
−0.473411 | + | 0.880842i | ||||||||
−2.82371 | −0.297645 | |||||||||
0 | 0 | |||||||||
30.2368 | 3.15241 | |||||||||
4.75786 | + | 8.24086i | 0.493368 | + | 0.854538i | |||||
−1.01357 | − | 1.75556i | −0.104542 | − | 0.181072i | |||||
−0.394928 | + | 0.684035i | −0.0405188 | + | 0.0701806i | |||||
17.6136 | 1.79768 | |||||||||
8.53684 | − | 14.7862i | 0.866784 | − | 1.50131i | 0.00151988 | − | 0.999999i | ||
0.865264 | − | 0.501316i | ||||||||
−9.00753 | + | 15.6015i | −0.909898 | + | 1.57599i | |||||
−2.91185 | −0.292652 | |||||||||
10.2310 | − | 17.7206i | 1.02310 | − | 1.77206i | |||||
−3.66152 | − | 6.34194i | −0.364335 | − | 0.631047i | 0.624334 | − | 0.781157i | ||
−0.988669 | + | 0.150111i | ||||||||
6.52930 | + | 11.3091i | 0.646497 | + | 1.11977i | |||||
−4.21983 | −0.415792 | −0.207896 | − | 0.978151i | ||||||
−0.207896 | + | 0.978151i | ||||||||
0 | 0 | |||||||||
0.582105 | 0.0568077 | |||||||||
−10.2056 | − | 17.6766i | −0.991255 | − | 1.71690i | |||||
−3.19687 | − | 5.53713i | −0.309053 | − | 0.535295i | 0.669103 | − | 0.743170i | ||
−0.978155 | + | 0.207875i | ||||||||
2.62349 | − | 4.54402i | 0.252445 | − | 0.437248i | |||||
3.46011 | 0.331418 | 0.165709 | − | 0.986175i | ||||||
0.165709 | + | 0.986175i | ||||||||
−4.11111 | + | 7.12066i | −0.391979 | + | 0.678928i | |||||
−2.87651 | + | 4.98226i | −0.273026 | + | 0.472895i | |||||
−7.23490 | −0.683634 | |||||||||
−4.67845 | + | 8.10331i | −0.440111 | + | 0.762295i | −0.997697 | − | 0.0678240i | ||
0.557586 | + | 0.830119i | ||||||||
−1.01357 | − | 1.75556i | −0.0949299 | − | 0.164423i | |||||
−3.02230 | − | 5.23478i | −0.281831 | − | 0.488146i | |||||
−10.0315 | −0.931398 | |||||||||
0 | 0 | |||||||||
11.0315 | 1.01553 | |||||||||
−1.34601 | − | 2.33136i | −0.123389 | − | 0.213715i | |||||
−4.58426 | − | 7.94017i | −0.418484 | − | 0.724835i | |||||
1.26055 | − | 2.18334i | 0.114596 | − | 0.198486i | |||||
9.21552 | 0.834334 | |||||||||
−2.45593 | + | 4.25379i | −0.221443 | + | 0.383551i | |||||
−24.9644 | + | 43.2396i | −2.24187 | + | 3.88303i | |||||
−9.33513 | −0.834959 | |||||||||
−0.746980 | + | 1.29381i | −0.0665462 | + | 0.115261i | |||||
2.24094 | + | 3.88142i | 0.198851 | + | 0.344420i | 0.948156 | − | 0.317805i | ||
−0.749305 | + | 0.662225i | ||||||||
11.1136 | + | 19.2493i | 0.982310 | + | 1.70141i | |||||
11.0978 | 0.977110 | |||||||||
0 | 0 | |||||||||
−9.21744 | −0.805331 | −0.402666 | − | 0.915347i | ||||||
−0.402666 | + | 0.915347i | ||||||||
−7.63922 | − | 13.2315i | −0.664909 | − | 1.15166i | |||||
0.208947 | + | 0.361908i | 0.0181180 | + | 0.0313814i | |||||
2.52057 | − | 4.36576i | 0.217744 | − | 0.377144i | |||||
−1.04892 | −0.0902764 | |||||||||
−21.2005 | + | 36.7204i | −1.81793 | + | 3.14875i | |||||
−3.73490 | + | 6.46903i | −0.319094 | + | 0.552687i | −0.980299 | − | 0.197518i | ||
0.661205 | + | 0.750205i | ||||||||
15.5133 | 1.32058 | |||||||||
8.99880 | − | 15.5864i | 0.763269 | − | 1.32202i | −0.177889 | − | 0.984051i | ||
0.941157 | − | 0.337969i | ||||||||
1.52715 | + | 2.64510i | 0.129067 | + | 0.223551i | |||||
−0.376510 | − | 0.652135i | −0.0317079 | − | 0.0549197i | |||||
−28.2760 | −2.37287 | |||||||||
0 | 0 | |||||||||
13.0368 | 1.08640 | |||||||||
1.00269 | + | 1.73671i | 0.0832687 | + | 0.144226i | |||||
−14.1015 | − | 24.4245i | −1.16705 | − | 2.02138i | |||||
−3.34601 | + | 5.79546i | −0.275974 | + | 0.478002i | |||||
−30.1860 | −2.48127 | |||||||||
7.66756 | − | 13.2806i | 0.628151 | − | 1.08799i | −0.359771 | − | 0.933041i | ||
0.987922 | − | 0.154949i | ||||||||
5.24914 | − | 9.09177i | 0.428590 | − | 0.742340i | |||||
−2.53079 | −0.205953 | −0.102977 | − | 0.994684i | ||||||
−0.102977 | + | 0.994684i | ||||||||
3.29105 | − | 5.70027i | 0.266940 | − | 0.462353i | |||||
2.42543 | + | 4.20096i | 0.196084 | + | 0.339628i | |||||
2.17510 | + | 3.76738i | 0.175274 | + | 0.303584i | |||||
9.98121 | 0.801710 | |||||||||
0 | 0 | |||||||||
17.2392 | 1.37584 | 0.687919 | − | 0.725787i | ||||||
0.687919 | + | 0.725787i | ||||||||
1.79709 | + | 3.11266i | 0.142969 | + | 0.247630i | |||||
−3.79105 | − | 6.56630i | −0.300650 | − | 0.520741i | |||||
9.23759 | − | 16.0000i | 0.730295 | − | 1.26491i | |||||
−3.19806 | −0.252043 | |||||||||
1.34601 | − | 2.33136i | 0.105753 | − | 0.183169i | |||||
7.85354 | − | 13.6027i | 0.615137 | − | 1.06545i | −0.375223 | − | 0.926934i | ||
0.990360 | − | 0.138514i | ||||||||
−25.7724 | −2.01249 | |||||||||
−1.52715 | + | 2.64510i | −0.118888 | + | 0.205920i | |||||
−3.55765 | − | 6.16202i | −0.276127 | − | 0.478266i | |||||
2.69806 | + | 4.67318i | 0.208782 | + | 0.361622i | 0.951331 | − | 0.308170i | ||
−0.742549 | + | 0.669792i | ||||||||
−4.85086 | −0.374252 | |||||||||
0 | 0 | |||||||||
13.6974 | 1.05054 | |||||||||
−0.376510 | − | 0.652135i | −0.0287925 | − | 0.0498700i | |||||
29.1151 | + | 50.4288i | 2.22000 | + | 3.84516i | |||||
−11.9710 | + | 20.7344i | −0.910138 | + | 1.57640i | −0.0962694 | + | 0.995355i | ||
−0.813868 | + | 0.581049i | ||||||||
−5.14675 | −0.390174 | |||||||||
−1.08211 | + | 1.87426i | −0.0817995 | + | 0.141681i | |||||
18.9807 | − | 32.8755i | 1.43072 | − | 2.47808i | |||||
4.09783 | 0.308012 | |||||||||
−13.3617 | + | 23.1432i | −1.00150 | + | 1.73466i | |||||
−9.20440 | − | 15.9425i | −0.687969 | − | 1.19160i | −0.972494 | − | 0.232929i | ||
0.284525 | − | 0.958669i | ||||||||
−2.75182 | − | 4.76630i | −0.205109 | − | 0.355259i | |||||
−3.63342 | −0.270070 | −0.135035 | − | 0.990841i | ||||||
−0.135035 | + | 0.990841i | ||||||||
0 | 0 | |||||||||
3.42327 | 0.253056 | |||||||||
25.1857 | + | 43.6230i | 1.85672 | + | 3.21593i | |||||
3.01722 | + | 5.22598i | 0.221831 | + | 0.384222i | |||||
−12.8083 | + | 22.1846i | −0.939148 | + | 1.62665i | |||||
14.1250 | 1.03292 | |||||||||
1.97554 | − | 3.42174i | 0.144081 | − | 0.249556i | |||||
−0.277479 | + | 0.480608i | −0.0201836 | + | 0.0349591i | |||||
−2.12631 | −0.154259 | |||||||||
10.5891 | − | 18.3409i | 0.766201 | − | 1.32710i | −0.173409 | − | 0.984850i | ||
0.939609 | − | 0.342249i | ||||||||
10.6712 | + | 18.4831i | 0.770128 | + | 1.33390i | |||||
−8.80559 | − | 15.2517i | −0.633840 | − | 1.09784i | −0.986760 | − | 0.162189i | ||
0.352920 | − | 0.935654i | ||||||||
45.9627 | 3.29993 | |||||||||
0 | 0 | |||||||||
−35.1129 | −2.50806 | |||||||||
−2.33124 | − | 4.03783i | −0.166094 | − | 0.287683i | 0.770949 | − | 0.636897i | ||
−0.937043 | + | 0.349213i | ||||||||
−3.91939 | − | 6.78858i | −0.278539 | − | 0.482443i | |||||
−7.51842 | + | 13.0223i | −0.532967 | + | 0.923125i | 0.466292 | + | 0.884631i | ||
−0.999259 | + | 0.0384944i | ||||||||
34.0877 | 2.41036 | |||||||||
0.936313 | − | 1.62174i | 0.0660424 | − | 0.114389i | |||||
9.85690 | − | 17.0726i | 0.693529 | − | 1.20123i | |||||
1.06100 | 0.0744675 | |||||||||
−12.7262 | + | 22.0424i | −0.891010 | + | 1.54327i | |||||
2.57606 | + | 4.46187i | 0.179920 | + | 0.311631i | |||||
−5.67994 | − | 9.83794i | −0.395740 | − | 0.685442i | |||||
5.76271 | 0.400536 | |||||||||
0 | 0 | |||||||||
−2.19269 | −0.151671 | |||||||||
0.783520 | + | 1.35710i | 0.0540680 | + | 0.0936485i | |||||
0.230054 | + | 0.398465i | 0.0158375 | + | 0.0274314i | 0.873836 | − | 0.486222i | ||
−0.857998 | + | 0.513653i | ||||||||
19.8916 | − | 34.4532i | 1.36616 | − | 2.36626i | |||||
−10.5036 | −0.719698 | |||||||||
8.60603 | − | 14.9061i | 0.588296 | − | 1.01896i | |||||
5.82036 | − | 10.0812i | 0.396945 | − | 0.687529i | |||||
8.74094 | 0.594746 | |||||||||
2.64042 | − | 4.57333i | 0.179243 | − | 0.310458i | |||||
4.65734 | + | 8.06675i | 0.315435 | + | 0.546349i | |||||
−5.23825 | − | 9.07292i | −0.353968 | − | 0.613091i | |||||
−16.0258 | −1.08046 | |||||||||
0 | 0 | |||||||||
−15.4873 | −1.03944 | |||||||||
−8.17510 | − | 14.1597i | −0.547445 | − | 0.948202i | −0.998449 | − | 0.0556803i | ||
0.451004 | − | 0.892522i | ||||||||
−4.88740 | − | 8.46522i | −0.326553 | − | 0.565606i | |||||
1.94989 | − | 3.37730i | 0.129992 | − | 0.225153i | |||||
−25.1890 | −1.67555 | |||||||||
3.28017 | − | 5.68142i | 0.217712 | − | 0.377089i | −0.736396 | − | 0.676551i | ||
0.954108 | + | 0.299462i | ||||||||
1.97554 | − | 3.42174i | 0.130833 | − | 0.226610i | |||||
3.95539 | 0.261380 | 0.130690 | − | 0.991423i | ||||||
0.130690 | + | 0.991423i | ||||||||
8.13610 | − | 14.0921i | 0.536479 | − | 0.929209i | |||||
0.807979 | + | 1.39946i | 0.0531611 | + | 0.0920777i | |||||
−8.35570 | − | 14.4725i | −0.548579 | − | 0.950166i | |||||
8.35690 | 0.547478 | 0.273739 | − | 0.961804i | ||||||
0.273739 | + | 0.961804i | ||||||||
0 | 0 | |||||||||
−0.789856 | −0.0515245 | |||||||||
10.7506 | + | 18.6206i | 0.699806 | + | 1.21210i | |||||
0.667563 | + | 1.15625i | 0.0433629 | + | 0.0751067i | |||||
3.62349 | − | 6.27607i | 0.234876 | − | 0.406817i | |||||
−20.1008 | −1.30021 | −0.650107 | − | 0.759843i | ||||||
−0.650107 | + | 0.759843i | ||||||||
6.83728 | − | 11.8425i | 0.441345 | − | 0.764431i | |||||
−9.50634 | + | 16.4655i | −0.612357 | + | 1.06063i | 0.378485 | + | 0.925607i | ||
−0.990842 | + | 0.135026i | ||||||||
6.78687 | 0.436277 | |||||||||
0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | |||||
8.98092 | + | 15.5554i | 0.574944 | + | 0.995833i | |||||
3.50969 | + | 6.07896i | 0.224226 | + | 0.388370i | |||||
−13.2228 | −0.843056 | |||||||||
0 | 0 | |||||||||
−83.1764 | −5.28171 | |||||||||
−1.32155 | − | 2.28900i | −0.0837500 | − | 0.145059i | |||||
−12.5652 | − | 21.7635i | −0.794692 | − | 1.37645i | |||||
0.381887 | − | 0.661448i | 0.0241045 | − | 0.0417502i | −0.853722 | − | 0.520730i | ||
0.877826 | + | 0.478980i | ||||||||
−2.91185 | −0.183430 | |||||||||
8.39008 | − | 14.5321i | 0.527480 | − | 0.913622i | |||||
−6.03266 | + | 10.4489i | −0.378522 | + | 0.655620i | |||||
5.08815 | 0.318632 | |||||||||
−8.57553 | + | 14.8533i | −0.535971 | + | 0.928329i | |||||
6.54556 | + | 11.3373i | 0.408301 | + | 0.707198i | 0.994700 | − | 0.102825i | ||
−0.586398 | + | 0.810023i | ||||||||
14.9378 | + | 25.8730i | 0.929987 | + | 1.61078i | |||||
3.19269 | 0.198384 | |||||||||
0 | 0 | |||||||||
−1.91185 | −0.118341 | |||||||||
−12.4068 | − | 21.4892i | −0.766493 | − | 1.32760i | |||||
−9.18867 | − | 15.9152i | −0.566598 | − | 0.981376i | −0.996899 | − | 0.0786906i | ||
0.430301 | − | 0.902685i | ||||||||
12.7262 | − | 22.0424i | 0.783242 | − | 1.35661i | |||||
−7.95300 | −0.488549 | |||||||||
−0.562491 | + | 0.974263i | −0.0344885 | + | 0.0597359i | |||||
−4.96346 | + | 8.59696i | −0.303759 | + | 0.526126i | |||||
9.82563 | 0.600196 | |||||||||
−11.8312 | + | 20.4923i | −0.721363 | + | 1.24944i | 0.239090 | + | 0.970997i | ||
−0.960453 | + | 0.278441i | ||||||||
−1.41185 | − | 2.44540i | −0.0859227 | − | 0.148822i | |||||
−9.87651 | − | 17.1066i | −0.599955 | − | 1.03915i | −0.992827 | − | 0.119560i | ||
0.392872 | − | 0.919593i | ||||||||
−63.2398 | −3.83448 | |||||||||
0 | 0 | |||||||||
−20.1089 | −1.21482 | |||||||||
−5.67778 | − | 9.83421i | −0.342383 | − | 0.593025i | |||||
15.1184 | + | 26.1859i | 0.910021 | + | 1.57620i | |||||
−0.888887 | + | 1.53960i | −0.0534081 | + | 0.0925055i | −0.891493 | − | 0.453034i | ||
0.838085 | + | 0.545539i | ||||||||
48.4499 | 2.90583 | |||||||||
−4.75786 | + | 8.24086i | −0.284846 | + | 0.493368i | |||||
−2.54407 | + | 4.40646i | −0.152037 | + | 0.263337i | |||||
−1.62133 | −0.0967207 | −0.0483603 | − | 0.998830i | ||||||
−0.0483603 | + | 0.998830i | ||||||||
1.01357 | − | 1.75556i | 0.0603574 | − | 0.104542i | |||||
−2.49180 | − | 4.31593i | −0.148122 | − | 0.256555i | 0.782411 | − | 0.622762i | ||
−0.930533 | + | 0.366207i | ||||||||
−27.5562 | − | 47.7288i | −1.63516 | − | 2.83218i | |||||
−0.789856 | −0.0467870 | |||||||||
0 | 0 | |||||||||
2.72587 | 0.160903 | |||||||||
8.80678 | + | 15.2538i | 0.518945 | + | 0.898838i | |||||
−3.26540 | − | 5.65583i | −0.192082 | − | 0.332696i | |||||
−2.69926 | + | 4.67525i | −0.158506 | + | 0.274540i | |||||
17.0737 | 1.00088 | |||||||||
27.4850 | − | 47.6054i | 1.60844 | − | 2.78590i | |||||
−0.0358763 | + | 0.0621395i | −0.00209591 | + | 0.00363023i | −0.867071 | − | 0.498184i | ||
0.864976 | + | 0.501814i | ||||||||
−18.0151 | −1.05066 | |||||||||
2.14914 | − | 3.72243i | 0.125128 | − | 0.216728i | |||||
−25.1434 | − | 43.5496i | −1.46143 | − | 2.53127i | |||||
−1.45593 | − | 2.52174i | −0.0844815 | − | 0.146326i | |||||
41.2825 | 2.39143 | |||||||||
0 | 0 | |||||||||
20.4620 | 1.18138 | |||||||||
−3.07942 | − | 5.33371i | −0.177495 | − | 0.307430i | |||||
−3.40648 | − | 5.90019i | −0.196021 | − | 0.339518i | |||||
3.66152 | − | 6.34194i | 0.210349 | − | 0.364335i | |||||
9.81700 | 0.563044 | |||||||||
1.79536 | − | 3.10966i | 0.102802 | − | 0.178059i | |||||
−6.52930 | + | 11.3091i | −0.373255 | + | 0.646497i | |||||
5.19806 | 0.296669 | 0.148335 | − | 0.988937i | ||||||
0.148335 | + | 0.988937i | ||||||||
−4.23945 | + | 7.34294i | −0.241565 | + | 0.418403i | |||||
−2.10992 | − | 3.65448i | −0.120029 | − | 0.207896i | |||||
13.4348 | + | 23.2698i | 0.763047 | + | 1.32164i | |||||
−22.5429 | −1.27829 | −0.639145 | − | 0.769087i | ||||||
−0.639145 | + | 0.769087i | ||||||||
0 | 0 | |||||||||
22.6612 | 1.28088 | 0.640442 | − | 0.768006i | ||||||
0.640442 | + | 0.768006i | ||||||||
23.2042 | + | 40.1908i | 1.30949 | + | 2.26810i | |||||
0.291053 | + | 0.504118i | 0.0163990 | + | 0.0284038i | |||||
−3.50269 | + | 6.06683i | −0.197042 | + | 0.341286i | |||||
−26.3424 | −1.47954 | −0.739769 | − | 0.672861i | ||||||
−0.739769 | + | 0.672861i | ||||||||
10.2056 | − | 17.6766i | 0.572301 | − | 0.991255i | |||||
−2.78352 | + | 4.82120i | −0.155847 | + | 0.269935i | |||||
22.3864 | 1.25144 | |||||||||
3.19687 | − | 5.53713i | 0.178432 | − | 0.309053i | |||||
−4.30463 | − | 7.45583i | −0.239887 | − | 0.415497i | |||||
1.82640 | + | 3.16341i | 0.101623 | + | 0.176017i | |||||
5.24698 | 0.291499 | |||||||||
0 | 0 | |||||||||
42.2838 | 2.34188 | |||||||||
1.73005 | + | 2.99654i | 0.0956722 | + | 0.165709i | |||||
−21.4671 | − | 37.1821i | −1.18532 | − | 2.05304i | |||||
−0.208947 | + | 0.361908i | −0.0115196 | + | 0.0199526i | |||||
−8.22223 | −0.452619 | |||||||||
−5.61476 | + | 9.72505i | −0.308615 | + | 0.534537i | −0.978060 | − | 0.208325i | ||
0.669445 | + | 0.742862i | ||||||||
6.93416 | − | 12.0103i | 0.380561 | − | 0.659151i | |||||
−5.75302 | −0.315264 | |||||||||
−7.26324 | + | 12.5803i | −0.397427 | + | 0.688364i | |||||
−0.982115 | − | 1.70107i | −0.0536587 | − | 0.0929395i | |||||
−3.61745 | − | 6.26561i | −0.197348 | − | 0.341817i | |||||
2.30798 | 0.125724 | 0.0628618 | − | 0.998022i | ||||||
0.0628618 | + | 0.998022i | ||||||||
0 | 0 | |||||||||
−9.35690 | −0.508197 | |||||||||
13.3487 | + | 23.1206i | 0.723935 | + | 1.25389i | |||||
13.8542 | + | 23.9962i | 0.750247 | + | 1.29947i | |||||
1.01357 | − | 1.75556i | 0.0548078 | − | 0.0949299i | |||||
7.59850 | 0.410280 | |||||||||
−48.5027 | + | 84.0092i | −2.61509 | + | 4.52947i | |||||
3.02230 | − | 5.23478i | 0.162715 | − | 0.281831i | |||||
−64.4523 | −3.46498 | |||||||||
4.56853 | − | 7.91293i | 0.245252 | − | 0.424788i | −0.716951 | − | 0.697124i | ||
0.962202 | + | 0.272336i | ||||||||
−5.01573 | − | 8.68750i | −0.268871 | − | 0.465699i | |||||
11.9879 | + | 20.7637i | 0.641699 | + | 1.11145i | 0.985053 | + | 0.172249i | ||
−0.343355 | + | 0.939206i | ||||||||
−5.82610 | −0.311418 | |||||||||
0 | 0 | |||||||||
51.2881 | 2.73367 | |||||||||
−13.5620 | − | 23.4900i | −0.721830 | − | 1.25025i | −0.960265 | − | 0.279088i | ||
0.238435 | − | 0.971158i | ||||||||
5.51573 | + | 9.55352i | 0.293158 | + | 0.507764i | |||||
−5.50873 | + | 9.54140i | −0.292373 | + | 0.506405i | |||||
−52.0863 | −2.76057 | |||||||||
1.34601 | − | 2.33136i | 0.0712384 | − | 0.123389i | |||||
24.7784 | − | 42.9175i | 1.30958 | − | 2.26826i | |||||
26.0790 | 1.37640 | 0.688200 | − | 0.725521i | ||||||
0.688200 | + | 0.725521i | ||||||||
4.58426 | − | 7.94017i | 0.241612 | − | 0.418484i | |||||
9.21648 | + | 15.9634i | 0.485078 | + | 0.840180i | |||||
−4.89062 | − | 8.47080i | −0.257045 | − | 0.445215i | |||||
2.52111 | 0.132324 | |||||||||
0 | 0 | |||||||||
−10.9890 | −0.575190 | |||||||||
4.60776 | + | 7.98088i | 0.240851 | + | 0.417167i | |||||
−4.78717 | − | 8.29162i | −0.249888 | − | 0.432819i | 0.713606 | − | 0.700547i | ||
−0.963495 | + | 0.267728i | ||||||||
−37.5637 | + | 65.0623i | −1.95815 | + | 3.39161i | |||||
−4.91185 | −0.255701 | |||||||||
−8.12242 | + | 14.0685i | −0.422265 | + | 0.731384i | |||||
−2.10388 | + | 3.64402i | −0.109228 | + | 0.189188i | |||||
−49.9288 | −2.58869 | |||||||||
−14.0749 | + | 24.3784i | −0.728769 | + | 1.26227i | 0.228635 | + | 0.973512i | ||
−0.957404 | + | 0.288753i | ||||||||
19.0124 | + | 32.9304i | 0.983107 | + | 1.70279i | |||||
−4.66756 | − | 8.08446i | −0.241032 | − | 0.417480i | |||||
6.58211 | 0.339446 | |||||||||
0 | 0 | |||||||||
−1.49396 | −0.0768410 | |||||||||
8.02326 | + | 13.8967i | 0.412127 | + | 0.713825i | 0.995122 | − | 0.0986504i | ||
−0.582995 | + | 0.812476i | ||||||||
−2.07218 | − | 3.58912i | −0.106301 | − | 0.184118i | |||||
−2.24094 | + | 3.88142i | −0.114807 | + | 0.198851i | |||||
57.0122 | 2.91700 | |||||||||
−12.3083 | + | 21.3186i | −0.628923 | + | 1.08933i | 0.358845 | + | 0.933397i | ||
−0.987768 | + | 0.155930i | ||||||||
−11.1136 | + | 19.2493i | −0.567137 | + | 0.982310i | |||||
1.69501 | 0.0863855 | |||||||||
23.7048 | − | 41.0580i | 1.20654 | − | 2.08980i | |||||
5.54892 | + | 9.61101i | 0.282067 | + | 0.488555i | |||||
44.7926 | + | 77.5831i | 2.27400 | + | 3.93868i | |||||
−17.2198 | −0.873080 | −0.436540 | − | 0.899685i | ||||||
−0.436540 | + | 0.899685i | ||||||||
0 | 0 | |||||||||
−27.9541 | −1.41370 | |||||||||
−29.2473 | − | 50.6578i | −1.47721 | − | 2.55860i | |||||
−4.60872 | − | 7.98254i | −0.232479 | − | 0.402666i | |||||
6.27575 | − | 10.8699i | 0.316168 | − | 0.547619i | |||||
1.40044 | 0.0704636 | |||||||||
7.63922 | − | 13.2315i | 0.383885 | − | 0.664909i | |||||
−1.01961 | + | 1.76602i | −0.0511730 | + | 0.0886342i | −0.890477 | − | 0.455028i | ||
0.839304 | + | 0.543662i | ||||||||
−40.4795 | −2.02905 | |||||||||
−0.208947 | + | 0.361908i | −0.0104605 | + | 0.0181180i | |||||
25.4203 | + | 44.0293i | 1.27102 | + | 2.20147i | |||||
−0.730718 | − | 1.26564i | −0.0364903 | − | 0.0632031i | 0.847203 | − | 0.531269i | ||
−0.883694 | + | 0.468065i | ||||||||
5.04115 | 0.251430 | |||||||||
0 | 0 | |||||||||
38.4239 | 1.91166 | |||||||||
−0.524459 | − | 0.908389i | −0.0260606 | − | 0.0451382i | |||||
1.42812 | + | 2.47357i | 0.0708762 | + | 0.122761i | |||||
−8.37598 | + | 14.5076i | −0.415182 | + | 0.719116i | |||||
−42.4010 | −2.09916 | |||||||||
−14.9695 | + | 25.9279i | −0.740194 | + | 1.28205i | 0.212213 | + | 0.977224i | ||
−0.952407 | + | 0.304830i | ||||||||
−6.93482 | + | 12.0115i | −0.342486 | + | 0.593204i | |||||
−7.46980 | −0.368458 | |||||||||
11.0707 | − | 19.1750i | 0.545414 | − | 0.944684i | |||||
−1.13706 | − | 1.96945i | −0.0559512 | − | 0.0969104i | |||||
7.75667 | + | 13.4349i | 0.381219 | + | 0.660291i | |||||
−2.77240 | −0.136092 | |||||||||
0 | 0 | |||||||||
17.9976 | 0.881347 | |||||||||
−2.95138 | − | 5.11194i | −0.144357 | − | 0.250033i | |||||
−3.32371 | − | 5.75683i | −0.162374 | − | 0.281240i | 0.773346 | − | 0.633984i | ||
−0.935720 | + | 0.352745i | ||||||||
−1.52715 | + | 2.64510i | −0.0745171 | + | 0.129067i | |||||
−13.5646 | −0.661100 | −0.330550 | − | 0.943788i | ||||||
−0.330550 | + | 0.943788i | ||||||||
−0.619309 | + | 1.07268i | −0.0301475 | + | 0.0522170i | |||||
0.376510 | − | 0.652135i | 0.0183066 | − | 0.0317079i | |||||
66.2747 | 3.21858 | |||||||||
−9.45862 | + | 16.3828i | −0.458810 | + | 0.794683i | |||||
−14.1380 | − | 24.4878i | −0.684989 | − | 1.18644i | |||||
−0.949886 | − | 1.64525i | −0.0459682 | − | 0.0796193i | |||||
33.5478 | 1.62159 | |||||||||
0 | 0 | |||||||||
31.3370 | 1.51121 | |||||||||
17.9731 | + | 31.1304i | 0.865736 | + | 1.49950i | 0.866314 | + | 0.499499i | ||
−0.000578325 | 1.00000i | |||||||||
6.51842 | + | 11.2902i | 0.313618 | + | 0.543201i | |||||
16.2371 | − | 28.1234i | 0.780303 | − | 1.35152i | −0.151462 | − | 0.988463i | ||
0.931765 | − | 0.363061i | ||||||||
14.2161 | 0.682395 | |||||||||
−1.00269 | + | 1.73671i | −0.0480752 | + | 0.0832687i | |||||
−9.07756 | + | 15.7228i | −0.434736 | + | 0.752985i | |||||
4.33944 | 0.207583 | |||||||||
14.1015 | − | 24.4245i | 0.673795 | − | 1.16705i | |||||
−6.41603 | − | 11.1129i | −0.306221 | − | 0.530390i | 0.671312 | − | 0.741175i | ||
−0.977532 | + | 0.210785i | ||||||||
−13.3487 | − | 23.1206i | −0.636374 | − | 1.10223i | |||||
−6.69202 | −0.318668 | |||||||||
0 | 0 | |||||||||
11.9608 | 0.568273 | 0.284137 | − | 0.958784i | ||||||
0.284137 | + | 0.958784i | ||||||||
−15.0930 | − | 26.1418i | −0.716282 | − | 1.24064i | |||||
5.20626 | + | 9.01751i | 0.246800 | + | 0.427471i | |||||
22.0075 | − | 38.1182i | 1.04209 | − | 1.80495i | |||||
15.3351 | 0.725327 | |||||||||
5.92208 | − | 10.2573i | 0.279792 | − | 0.484614i | |||||
−6.23945 | + | 10.8070i | −0.294458 | + | 0.510016i | −0.974859 | − | 0.222824i | ||
0.680401 | + | 0.732840i | ||||||||
10.4983 | 0.494893 | |||||||||
−7.15130 | + | 12.3864i | −0.336742 | + | 0.583254i | |||||
−24.5477 | − | 42.5179i | −1.15463 | − | 1.99987i | |||||
−1.26540 | − | 2.19173i | −0.0594536 | − | 0.102977i | |||||
17.6606 | 0.828851 | |||||||||
0 | 0 | |||||||||
6.58211 | 0.308235 | |||||||||
16.2262 | + | 28.1045i | 0.759028 | + | 1.31468i | 0.943347 | + | 0.331809i | ||
−0.184319 | + | 0.982867i | ||||||||
5.32400 | + | 9.22144i | 0.248774 | + | 0.430890i | |||||
−2.42543 | + | 4.20096i | −0.113209 | + | 0.196084i | |||||
31.7159 | 1.47876 | |||||||||
12.2017 | − | 21.1340i | 0.568290 | − | 0.984308i | −0.428445 | − | 0.903568i | ||
0.996735 | − | 0.0807398i | ||||||||
−2.17510 | + | 3.76738i | −0.101195 | + | 0.175274i | |||||
33.1836 | 1.54217 | 0.771086 | − | 0.636731i | ||||||
0.771086 | + | 0.636731i | ||||||||
12.4623 | − | 21.5853i | 0.578546 | − | 1.00207i | |||||
4.99061 | + | 8.64398i | 0.231434 | + | 0.400855i | |||||
11.2485 | + | 19.4829i | 0.521075 | + | 0.902529i | |||||
−38.5206 | −1.78252 | −0.891261 | − | 0.453490i | ||||||
−0.891261 | + | 0.453490i | ||||||||
0 | 0 | |||||||||
−1.03923 | −0.0479871 | |||||||||
−1.06315 | − | 1.84144i | −0.0490397 | − | 0.0849392i | |||||
8.61960 | + | 14.9296i | 0.397170 | + | 0.687919i | |||||
−17.9095 | + | 31.0201i | −0.824350 | + | 1.42782i | |||||
32.3153 | 1.48586 | |||||||||
−1.79709 | + | 3.11266i | −0.0825432 | + | 0.142969i | |||||
1.46830 | − | 2.54318i | 0.0673704 | − | 0.116689i | |||||
14.1250 | 0.647417 | |||||||||
3.79105 | − | 6.56630i | 0.173580 | − | 0.300650i | |||||
−27.0559 | − | 46.8622i | −1.23751 | − | 2.14343i | |||||
−4.17241 | − | 7.22682i | −0.190642 | − | 0.330202i | 0.754821 | − | 0.655931i | ||
−0.945463 | + | 0.325729i | ||||||||
18.4752 | 0.843272 | |||||||||
0 | 0 | |||||||||
−51.1825 | −2.33130 | |||||||||
−1.59903 | − | 2.76960i | −0.0727584 | − | 0.126021i | |||||
6.61410 | + | 11.4560i | 0.300641 | + | 0.520725i | |||||
8.95444 | − | 15.5095i | 0.406600 | − | 0.704252i | |||||
2.69202 | 0.122113 | |||||||||
−7.42931 | + | 12.8679i | −0.336654 | + | 0.583102i | −0.983801 | − | 0.179263i | ||
0.647147 | + | 0.762365i | ||||||||
−14.9613 | + | 25.9137i | −0.677266 | + | 1.17306i | |||||
15.7071 | 0.710299 | |||||||||
−9.44816 | + | 16.3647i | −0.426824 | + | 0.739281i | |||||
−2.49947 | − | 4.32920i | −0.112799 | − | 0.195374i | 0.804099 | − | 0.594496i | ||
−0.916898 | + | 0.399122i | ||||||||
−12.8862 | − | 22.3196i | −0.580955 | − | 1.00624i | |||||
9.27413 | 0.417686 | |||||||||
0 | 0 | |||||||||
−3.05429 | −0.137280 | |||||||||
−62.0275 | − | 107.435i | −2.78512 | − | 4.82396i | |||||
2.91454 | + | 5.04814i | 0.130735 | + | 0.226440i | |||||
3.55765 | − | 6.16202i | 0.159422 | − | 0.276127i | |||||
0.385371 | 0.0172516 | 0.00862579 | − | 0.999963i | ||||||
0.00862579 | + | 0.999963i | ||||||||
24.4906 | − | 42.4190i | 1.09525 | − | 1.89703i | |||||
−2.69806 | + | 4.67318i | −0.120541 | + | 0.208782i | |||||
2.05610 | 0.0917681 | |||||||||
−11.3089 | + | 19.5877i | −0.504241 | + | 0.873370i | 0.495747 | + | 0.868467i | ||
−0.999988 | + | 0.00490359i | ||||||||
−2.42543 | − | 4.20096i | −0.108037 | − | 0.187126i | |||||
−3.84063 | − | 6.65217i | −0.170906 | − | 0.296018i | |||||
45.1726 | 2.00817 | |||||||||
0 | 0 | |||||||||
−23.5163 | −1.04337 | |||||||||
−5.80194 | − | 10.0493i | −0.257166 | − | 0.445425i | 0.708315 | − | 0.705896i | ||
−0.965482 | + | 0.260471i | ||||||||
6.84870 | + | 11.8623i | 0.303265 | + | 0.525271i | |||||
−2.90701 | + | 5.03509i | −0.128599 | + | 0.222739i | |||||
−1.71678 | −0.0758715 | |||||||||
0.376510 | − | 0.652135i | 0.0166233 | − | 0.0287925i | |||||
−17.6208 | + | 30.5201i | −0.777220 | + | 1.34618i | |||||
−4.42626 | −0.195044 | |||||||||
−29.1151 | + | 50.4288i | −1.28172 | + | 2.22000i | |||||
−1.09634 | − | 1.89892i | −0.0482171 | − | 0.0835145i | |||||
4.29739 | + | 7.44330i | 0.188816 | + | 0.327040i | |||||
−23.9420 | −1.05094 | |||||||||
0 | 0 | |||||||||
−1.62671 | −0.0712675 | −0.0356337 | − | 0.999365i | ||||||
−0.0356337 | + | 0.999365i | ||||||||
−2.57338 | − | 4.45722i | −0.112634 | − | 0.195087i | |||||
−5.03588 | − | 8.72239i | −0.220203 | − | 0.381404i | 0.734666 | − | 0.678429i | ||
−0.954870 | + | 0.297025i | ||||||||
24.1819 | − | 41.8842i | 1.05639 | − | 1.82972i | |||||
−2.16421 | −0.0944539 | |||||||||
24.7361 | − | 42.8442i | 1.07854 | − | 1.86809i | |||||
23.0797 | − | 39.9752i | 1.00537 | − | 1.74135i | |||||
37.9614 | 1.65206 | |||||||||
−5.10441 | + | 8.84109i | −0.221931 | + | 0.384395i | |||||
−10.7048 | − | 18.5413i | −0.464988 | − | 0.805383i | |||||
2.04892 | + | 3.54883i | 0.0889154 | + | 0.154006i | |||||
−2.19269 | −0.0950650 | |||||||||
0 | 0 | |||||||||
−26.7235 | −1.15644 | |||||||||
−3.35325 | − | 5.80800i | −0.144974 | − | 0.251102i | |||||
8.18425 | + | 14.1755i | 0.353506 | + | 0.612290i | |||||
9.20440 | − | 15.9425i | 0.397199 | − | 0.687969i | |||||
−63.6999 | −2.74630 | |||||||||
−9.74309 | + | 16.8755i | −0.419665 | + | 0.726881i | |||||
2.75182 | − | 4.76630i | 0.118420 | − | 0.205109i | |||||
20.4674 | 0.879962 | 0.439981 | − | 0.898007i | ||||||
0.439981 | + | 0.898007i | ||||||||
26.5878 | − | 46.0514i | 1.14204 | − | 1.97808i | |||||
−1.81671 | − | 3.14663i | −0.0779624 | − | 0.135035i | |||||
−42.7204 | − | 73.9939i | −1.83162 | − | 3.17246i | |||||
3.62937 | 0.155465 | |||||||||
0 | 0 | |||||||||
−27.5478 | −1.17786 | −0.588929 | − | 0.808185i | ||||||
−0.588929 | + | 0.808185i | ||||||||
−19.5969 | − | 33.9429i | −0.837140 | − | 1.44997i | |||||
1.71164 | + | 2.96464i | 0.0730508 | + | 0.126528i | |||||
15.2847 | − | 26.4739i | 0.651742 | − | 1.12885i | |||||
−1.43967 | −0.0613318 | |||||||||
−25.1857 | + | 43.6230i | −1.07198 | + | 1.85672i | |||||
0.370469 | − | 0.641672i | 0.0157540 | − | 0.0272867i | |||||
−4.78581 | −0.203329 | |||||||||
−3.01722 | + | 5.22598i | −0.128074 | + | 0.221831i | |||||
47.2165 | + | 81.7814i | 2.00243 | + | 3.46831i | |||||
18.9928 | + | 32.8964i | 0.804749 | + | 1.39387i | 0.916460 | + | 0.400126i | ||
−0.111711 | + | 0.993741i | ||||||||
−25.6165 | −1.08443 | |||||||||
0 | 0 | |||||||||
−7.58881 | −0.320686 | |||||||||
7.06249 | + | 12.2326i | 0.298179 | + | 0.516460i | |||||
−2.18233 | − | 3.77991i | −0.0920562 | − | 0.159446i | |||||
14.8862 | − | 25.7837i | 0.627378 | − | 1.08665i | −0.360697 | − | 0.932683i | ||
0.988076 | − | 0.153968i | ||||||||
3.95108 | 0.166371 | |||||||||
−4.90731 | + | 8.49970i | −0.206452 | + | 0.357585i | |||||
6.70799 | − | 11.6186i | 0.281958 | − | 0.488365i | |||||
−0.554958 | −0.0233061 | |||||||||
45.9059 | − | 79.5113i | 1.92617 | − | 3.33622i | |||||
10.9770 | + | 19.0128i | 0.460181 | + | 0.797057i | 0.998970 | − | 0.0453839i | ||
−0.538788 | + | 0.842441i | ||||||||
−1.06315 | − | 1.84144i | −0.0445307 | − | 0.0771294i | |||||
2.46575 | 0.103188 | 0.0515942 | − | 0.998668i | ||||||
0.0515942 | + | 0.998668i | ||||||||
0 | 0 | |||||||||
21.1782 | 0.884732 | |||||||||
3.66905 | + | 6.35499i | 0.153143 | + | 0.265252i | |||||
11.2366 | + | 19.4624i | 0.468600 | + | 0.811639i | |||||
−10.6712 | + | 18.4831i | −0.444634 | + | 0.770128i | |||||
−17.4547 | −0.726650 | −0.363325 | − | 0.931662i | ||||||
−0.363325 | + | 0.931662i | ||||||||
8.79052 | − | 15.2256i | 0.365637 | − | 0.633303i | |||||
8.80559 | − | 15.2517i | 0.365948 | − | 0.633840i | |||||
−10.5222 | −0.436909 | |||||||||
−0.733406 | + | 1.27030i | −0.0304268 | + | 0.0527008i | |||||
22.9813 | + | 39.8049i | 0.952607 | + | 1.64996i | |||||
−11.0390 | − | 19.1201i | −0.457188 | − | 0.791873i | |||||
91.5745 | 3.78938 | |||||||||
0 | 0 | |||||||||
−0.193159 | −0.00797934 | |||||||||
3.13169 | + | 5.42424i | 0.129259 | + | 0.223882i | 0.923390 | − | 0.383864i | ||
−0.794131 | + | 0.607747i | ||||||||
−17.5565 | − | 30.4087i | −0.724016 | − | 1.25403i | |||||
−3.58277 | + | 6.20554i | −0.147625 | + | 0.255695i | |||||
11.5711 | 0.476374 | |||||||||
2.33124 | − | 4.03783i | 0.0958944 | − | 0.166094i | |||||
37.5006 | − | 64.9529i | 1.54126 | − | 2.66955i | |||||
−22.8745 | −0.939345 | −0.469672 | − | 0.882841i | ||||||
−0.469672 | + | 0.882841i | ||||||||
3.91939 | − | 6.78858i | 0.160814 | − | 0.278539i | |||||
−1.41185 | − | 2.44540i | −0.0578804 | − | 0.100252i | |||||
40.2315 | + | 69.6831i | 1.64795 | + | 2.85433i | |||||
−15.0368 | −0.615417 | |||||||||
0 | 0 | |||||||||
−1.05621 | −0.0431557 | −0.0215778 | − | 0.999767i | ||||||
−0.0215778 | + | 0.999767i | ||||||||
17.0438 | + | 29.5208i | 0.695812 | + | 1.20518i | |||||
16.6618 | + | 28.8591i | 0.679650 | + | 1.17719i | 0.975086 | + | 0.221826i | ||
−0.295437 | + | 0.955362i | ||||||||
8.28986 | − | 14.3585i | 0.337869 | − | 0.585207i | |||||
1.87263 | 0.0762592 | |||||||||
6.63951 | − | 11.5000i | 0.270158 | − | 0.467927i | |||||
1.32222 | − | 2.29015i | 0.0537557 | − | 0.0931076i | |||||
19.7138 | 0.800818 | |||||||||
−8.12014 | + | 14.0645i | −0.329586 | + | 0.570860i | −0.982430 | − | 0.186633i | ||
0.652844 | + | 0.757493i | ||||||||
6.63169 | + | 11.4864i | 0.268950 | + | 0.465836i | |||||
0.530499 | + | 0.918852i | 0.0214969 | + | 0.0372338i | |||||
9.66632 | 0.391378 | |||||||||
0 | 0 | |||||||||
−25.4523 | −1.02885 | |||||||||
5.52393 | + | 9.56772i | 0.223109 | + | 0.386437i | 0.955751 | − | 0.294178i | ||
−0.732641 | + | 0.680615i | ||||||||
6.99665 | + | 12.1185i | 0.282362 | + | 0.489065i | |||||
−2.57606 | + | 4.46187i | −0.103877 | + | 0.179920i | |||||
−14.1250 | −0.569112 | |||||||||
−2.32975 | + | 4.03524i | −0.0937922 | + | 0.162453i | −0.909104 | − | 0.416570i | ||
0.815312 | + | 0.579022i | ||||||||
5.67994 | − | 9.83794i | 0.228481 | − | 0.395740i | |||||
−31.9259 | −1.28321 | −0.641604 | − | 0.767036i | ||||||
−0.641604 | + | 0.767036i | ||||||||
−26.1856 | + | 45.3548i | −1.05164 | + | 1.82149i | |||||
2.88135 | + | 4.99065i | 0.115625 | + | 0.200268i | |||||
−30.3430 | − | 52.5555i | −1.21664 | − | 2.10729i | |||||
5.50902 | 0.220714 | |||||||||
0 | 0 | |||||||||
9.70709 | 0.388283 | |||||||||
30.5022 | + | 52.8313i | 1.21911 | + | 2.11156i | |||||
−1.09634 | − | 1.89892i | −0.0437837 | − | 0.0758356i | |||||
−45.2269 | + | 78.3353i | −1.80475 | + | 3.12592i | |||||
27.9071 | 1.11273 | |||||||||
−0.783520 | + | 1.35710i | −0.0312162 | + | 0.0540680i | |||||
−19.7207 | + | 34.1572i | −0.785067 | + | 1.35978i | 0.143892 | + | 0.989593i | ||
−0.928959 | + | 0.370183i | ||||||||
−11.6703 | −0.464218 | |||||||||
−0.230054 | + | 0.398465i | −0.00914381 | + | 0.0158375i | |||||
−35.4572 | − | 61.4136i | −1.40818 | − | 2.43905i | |||||
2.35056 | + | 4.07129i | 0.0932791 | + | 0.161564i | |||||
39.7832 | 1.57750 | |||||||||
0 | 0 | |||||||||
−14.9866 | −0.593325 | |||||||||
−5.25182 | − | 9.09643i | −0.207759 | − | 0.359849i | |||||
11.6572 | + | 20.1909i | 0.460792 | + | 0.798115i | |||||
−22.7255 | + | 39.3617i | −0.897603 | + | 1.55469i | −0.0670544 | + | 0.997749i | ||
−0.830549 | + | 0.556946i | ||||||||
17.2121 | 0.679306 | |||||||||
−14.8735 | + | 25.7616i | −0.586552 | + | 1.01594i | 0.408128 | + | 0.912925i | ||
−0.994680 | + | 0.103013i | ||||||||
8.39008 | − | 14.5321i | 0.330616 | − | 0.572643i | |||||
11.6407 | 0.458353 | |||||||||
−4.91670 | + | 8.51597i | −0.193445 | + | 0.335056i | |||||
8.46562 | + | 14.6629i | 0.332818 | + | 0.576457i | 0.983063 | − | 0.183267i | ||
−0.650245 | + | 0.759724i | ||||||||
4.37047 | + | 7.56988i | 0.171688 | + | 0.297373i | |||||
11.9323 | 0.468384 | |||||||||
0 | 0 | |||||||||
5.28083 | 0.206972 | |||||||||
41.2074 | + | 71.3733i | 1.61381 | + | 2.79519i | |||||
16.5988 | + | 28.7500i | 0.649561 | + | 1.12507i | 0.983228 | + | 0.182382i | ||
−0.333667 | + | 0.942691i | ||||||||
−4.65734 | + | 8.06675i | −0.182116 | + | 0.315435i | |||||
−9.66833 | −0.377773 | |||||||||
32.0175 | − | 55.4560i | 1.25007 | − | 2.16519i | |||||
5.23825 | − | 9.07292i | 0.204364 | − | 0.353968i | |||||
−1.12498 | −0.0438564 | |||||||||
21.3286 | − | 36.9421i | 0.830842 | − | 1.43906i | −0.0665286 | − | 0.997785i | ||
0.897371 | − | 0.441277i | ||||||||
−8.01291 | − | 13.8788i | −0.311902 | − | 0.540230i | |||||
19.3451 | + | 33.5067i | 0.752438 | + | 1.30326i | 0.946638 | + | 0.322298i | ||
−0.194201 | + | 0.980962i | ||||||||
−30.2301 | −1.17493 | |||||||||
0 | 0 | |||||||||
23.1032 | 0.896578 | |||||||||
0.219169 | + | 0.379611i | 0.00849899 | + | 0.0147207i | |||||
−7.74363 | − | 13.4124i | −0.300059 | − | 0.519718i | |||||
5.50873 | − | 9.54140i | 0.213299 | − | 0.369444i | |||||
−28.3134 | −1.09548 | |||||||||
8.17510 | − | 14.1597i | 0.316067 | − | 0.547445i | |||||
2.64387 | − | 4.57932i | 0.102142 | − | 0.176915i | |||||
9.96807 | 0.384813 | |||||||||
4.88740 | − | 8.46522i | 0.188535 | − | 0.326553i | |||||
1.29709 | + | 2.24663i | 0.0499993 | + | 0.0866013i | 0.889942 | − | 0.456074i | ||
−0.839943 | + | 0.542675i | ||||||||
3.10656 | + | 5.38073i | 0.119660 | + | 0.207258i | |||||
3.89977 | 0.150102 | |||||||||
0 | 0 | |||||||||
1.75302 | 0.0673740 | 0.0336870 | − | 0.999432i | ||||||
0.0336870 | + | 0.999432i | ||||||||
−12.5945 | − | 21.8143i | −0.483688 | − | 0.837773i | |||||
−4.73759 | − | 8.20574i | −0.181812 | − | 0.314907i | |||||
−22.2376 | + | 38.5166i | −0.852773 | + | 1.47705i | |||||
6.56033 | 0.251393 | |||||||||
−37.2958 | + | 64.5983i | −1.42813 | + | 2.47360i | |||||
8.16756 | − | 14.1466i | 0.312523 | − | 0.541306i | −0.666385 | − | 0.745608i | ||
0.978908 | + | 0.204302i | ||||||||
3.95108 | 0.151073 | |||||||||
−3.91760 | + | 6.78548i | −0.149684 | + | 0.259260i | |||||
10.2277 | + | 17.7148i | 0.390494 | + | 0.676355i | |||||
1.97770 | + | 3.42547i | 0.0754539 | + | 0.130690i | |||||
−144.681 | −5.51590 | |||||||||
0 | 0 | |||||||||
16.2722 | 0.619472 | |||||||||
7.95526 | + | 13.7789i | 0.302632 | + | 0.524175i | 0.976731 | − | 0.214466i | ||
−0.674099 | + | 0.738641i | ||||||||
−62.8116 | − | 108.793i | −2.38774 | − | 4.13568i | |||||
−0.807979 | + | 1.39946i | −0.0306926 | + | 0.0531611i | |||||
24.5972 | 0.933696 | |||||||||
9.43900 | − | 16.3488i | 0.358042 | − | 0.620146i | |||||
8.35570 | − | 14.4725i | 0.316722 | − | 0.548579i | |||||
23.8267 | 0.902500 | |||||||||
−32.2717 | + | 55.8963i | −1.22150 | + | 2.11571i | |||||
4.17845 | + | 7.23728i | 0.158043 | + | 0.273739i | |||||
−5.67778 | − | 9.83421i | −0.214600 | − | 0.371698i | |||||
−20.8635 | −0.788005 | −0.394002 | − | 0.919109i | ||||||
−0.394002 | + | 0.919109i | ||||||||
0 | 0 | |||||||||
−4.33214 | −0.163390 | |||||||||
31.0730 | + | 53.8200i | 1.17111 | + | 2.02842i | |||||
−0.394928 | − | 0.684035i | −0.0148739 | − | 0.0257623i | |||||
36.5091 | − | 63.2356i | 1.37404 | − | 2.37990i | |||||
−4.06398 | −0.152842 | |||||||||
−10.7506 | + | 18.6206i | −0.404033 | + | 0.699806i | |||||
7.82424 | − | 13.5520i | 0.293846 | − | 0.508955i | −0.680870 | − | 0.732404i | ||
0.974716 | + | 0.223449i | ||||||||
−29.6592 | −1.11309 | |||||||||
−0.667563 | + | 1.15625i | −0.0250356 | + | 0.0433629i | |||||
−43.3853 | − | 75.1455i | −1.62593 | − | 2.81620i | |||||
−27.4182 | − | 47.4897i | −1.02682 | − | 1.77850i | |||||
7.24698 | 0.271211 | |||||||||
0 | 0 | |||||||||
96.5906 | 3.60976 | |||||||||
−10.0504 | − | 17.4078i | −0.375339 | − | 0.650107i | |||||
35.1027 | + | 60.7996i | 1.31002 | + | 2.26902i | |||||
13.5797 | − | 23.5208i | 0.506438 | − | 0.877176i | −0.493534 | − | 0.869726i | ||
0.999972 | − | 0.00744977i | ||||||||
13.6746 | 0.509621 | |||||||||
−1.17092 | + | 2.02808i | −0.0436072 | + | 0.0755298i | |||||
−24.8110 | + | 42.9738i | −0.923368 | + | 1.59932i | |||||
−19.0127 | −0.707089 | |||||||||
9.53223 | − | 16.5103i | 0.354262 | − | 0.613601i | |||||
−3.72790 | − | 6.45691i | −0.138451 | − | 0.239804i | |||||
3.39344 | + | 5.87760i | 0.125942 | + | 0.218138i | |||||
31.7784 | 1.17859 | 0.589297 | − | 0.807916i | ||||||
0.589297 | + | 0.807916i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.0370370 | |||||||||
−14.7913 | − | 25.6193i | −0.547450 | − | 0.948212i | |||||
−26.9170 | − | 46.6216i | −0.995561 | − | 1.72436i | |||||
−8.98092 | + | 15.5554i | −0.331944 | + | 0.574944i | |||||
−46.8907 | −1.73195 | −0.865973 | − | 0.500090i | ||||||
−0.865973 | + | 0.500090i | ||||||||
12.8872 | − | 22.3212i | 0.475674 | − | 0.823891i | |||||
−3.50969 | + | 6.07896i | −0.129457 | + | 0.224226i | |||||
−101.502 | −3.74141 | |||||||||
2.72641 | − | 4.72227i | 0.100428 | − | 0.173947i | |||||
−6.61141 | − | 11.4513i | −0.243369 | − | 0.421528i | |||||
8.52393 | + | 14.7639i | 0.313558 | + | 0.543098i | 0.979130 | − | 0.203236i | ||
−0.665572 | + | 0.746334i | ||||||||
−31.6626 | −1.16394 | |||||||||
0 | 0 | |||||||||
−11.3274 | −0.415840 | |||||||||
−5.81618 | − | 10.0739i | −0.213375 | − | 0.369576i | 0.739394 | − | 0.673273i | ||
−0.952769 | + | 0.303697i | ||||||||
−41.5882 | − | 72.0329i | −1.52470 | − | 2.64085i | |||||
8.04264 | − | 13.9303i | 0.294660 | − | 0.510365i | |||||
−75.7797 | −2.77449 | |||||||||
1.32155 | − | 2.28900i | 0.0483531 | − | 0.0837500i | |||||
−37.0567 | + | 64.1842i | −1.35493 | + | 2.34681i | |||||
−3.54825 | −0.129650 | |||||||||
12.5652 | − | 21.7635i | 0.458815 | − | 0.794692i | |||||
6.51477 | + | 11.2839i | 0.237727 | + | 0.411756i | 0.960062 | − | 0.279788i | ||
−0.722334 | + | 0.691544i | ||||||||
4.90850 | + | 8.50177i | 0.178995 | + | 0.310028i | |||||
0.763774 | 0.0278335 | |||||||||
0 | 0 | |||||||||
−2.65459 | −0.0966106 | |||||||||
−1.45593 | − | 2.52174i | −0.0529516 | − | 0.0917148i | |||||
−11.3949 | − | 19.7366i | −0.414156 | − | 0.717339i | 0.581184 | − | 0.813772i | ||
−0.995339 | + | 0.0964337i | ||||||||
−21.5988 | + | 37.4102i | −0.784504 | + | 1.35880i | |||||
16.7802 | 0.609081 | |||||||||
3.45204 | − | 5.97911i | 0.125219 | − | 0.216885i | |||||
−19.1712 | + | 33.2055i | −0.694956 | + | 1.20370i | 0.275240 | + | 0.961376i | ||
−0.970196 | + | 0.242323i | ||||||||
−12.0653 | −0.437080 | |||||||||
0.960107 | − | 1.66295i | 0.0347582 | − | 0.0602030i | |||||
55.5608 | + | 96.2342i | 2.01012 | + | 3.48163i | |||||
2.54407 | + | 4.40646i | 0.0919812 | + | 0.159316i | |||||
−66.2683 | −2.39437 | |||||||||
0 | 0 | |||||||||
−17.1511 | −0.618886 | |||||||||
−1.81940 | − | 3.15129i | −0.0656091 | − | 0.113638i | 0.831355 | − | 0.555742i | ||
−0.896964 | + | 0.442104i | ||||||||
2.28150 | + | 3.95167i | 0.0822194 | + | 0.142408i | |||||
−6.54556 | + | 11.3373i | −0.235733 | + | 0.408301i | |||||
92.4055 | 3.32575 | |||||||||
−19.6712 | + | 34.0715i | −0.707524 | + | 1.22547i | 0.258249 | + | 0.966079i | ||
−0.965773 | + | 0.259389i | ||||||||
−14.9378 | + | 25.8730i | −0.536928 | + | 0.929987i | |||||
−37.1092 | −1.33300 | |||||||||
−74.6200 | + | 129.246i | −2.67870 | + | 4.63965i | |||||
1.59634 | + | 2.76495i | 0.0572685 | + | 0.0991919i | |||||
−23.1781 | − | 40.1456i | −0.830974 | − | 1.43929i | |||||
−3.69873 | −0.132521 | |||||||||
0 | 0 | |||||||||
−30.5851 | −1.09442 | |||||||||
−37.6265 | − | 65.1710i | −1.34552 | − | 2.33051i | |||||
−0.955927 | − | 1.65571i | −0.0341620 | − | 0.0591704i | |||||
43.6214 | − | 75.5545i | 1.55791 | − | 2.69837i | |||||
18.0825 | 0.645392 | |||||||||
12.4068 | − | 21.4892i | 0.442535 | − | 0.766493i | |||||
−12.7126 | + | 22.0189i | −0.453155 | + | 0.784888i | −0.998580 | − | 0.0532720i | ||
0.545425 | + | 0.838160i | ||||||||
24.4639 | 0.871492 | |||||||||
9.18867 | − | 15.9152i | 0.327125 | − | 0.566598i | |||||
1.88500 | + | 3.26492i | 0.0670654 | + | 0.116161i | |||||
2.59634 | + | 4.49700i | 0.0923153 | + | 0.159895i | |||||
25.4523 | 0.904409 | |||||||||
0 | 0 | |||||||||
−5.48965 | −0.194820 | |||||||||
−3.97650 | − | 6.88750i | −0.141032 | − | 0.244275i | |||||
−39.4490 | − | 68.3276i | −1.39823 | − | 2.42181i | |||||
−10.3569 | + | 17.9387i | −0.366860 | + | 0.635420i | −0.989073 | − | 0.147428i | ||
0.622213 | + | 0.782848i | ||||||||
−1.12498 | −0.0398239 | |||||||||
−1.82640 | + | 3.16341i | −0.0646133 | + | 0.111913i | |||||
−34.3444 | + | 59.4863i | −1.21426 | + | 2.10316i | |||||
−9.92692 | −0.350750 | |||||||||
1.96711 | − | 3.40713i | 0.0694610 | − | 0.120310i | |||||
−15.2530 | − | 26.4190i | −0.538267 | − | 0.932306i | |||||
4.91281 | + | 8.50924i | 0.173262 | + | 0.300098i | |||||
−3.35450 | −0.118231 | |||||||||
0 | 0 | |||||||||
−23.6625 | −0.832959 | |||||||||
32.0051 | + | 55.4345i | 1.12594 | + | 1.95018i | |||||
−5.54892 | − | 9.61101i | −0.195090 | − | 0.337905i | 0.751840 | − | 0.659345i | ||
−0.946930 | + | 0.321440i | ||||||||
1.41185 | − | 2.44540i | 0.0496075 | − | 0.0859227i | |||||
4.84223 | 0.170034 | 0.0850169 | − | 0.996380i | ||||||
0.0850169 | + | 0.996380i | ||||||||
−2.78352 | + | 4.82120i | −0.0976824 | + | 0.169191i | |||||
9.87651 | − | 17.1066i | 0.346384 | − | 0.599955i | |||||
−45.0966 | −1.58064 | |||||||||
8.23772 | − | 14.2681i | 0.288555 | − | 0.499791i | |||||
−31.6199 | − | 54.7673i | −1.10692 | − | 1.91724i | |||||
4.17845 | + | 7.23728i | 0.146185 | + | 0.253201i | |||||
−80.5964 | −2.81799 | |||||||||
0 | 0 | |||||||||
−27.0331 | −0.944037 | |||||||||
−21.8690 | − | 37.8783i | −0.763235 | − | 1.32196i | −0.941175 | − | 0.337920i | ||
0.177940 | − | 0.984041i | ||||||||
−10.0544 | − | 17.4148i | −0.350688 | − | 0.607410i | |||||
−6.04988 | + | 10.4787i | −0.210885 | + | 0.365264i | −0.951992 | − | 0.306123i | ||
0.741106 | + | 0.671388i | ||||||||
36.8853 | 1.28496 | |||||||||
5.67778 | − | 9.83421i | 0.197675 | − | 0.342383i | |||||
3.06100 | − | 5.30181i | 0.106506 | − | 0.184473i | |||||
35.3212 | 1.22824 | 0.614120 | − | 0.789213i | ||||||
0.614120 | + | 0.789213i | ||||||||
−15.1184 | + | 26.1859i | −0.525401 | + | 0.910021i | |||||
−26.7473 | − | 46.3276i | −0.928971 | − | 1.60903i | −0.785047 | − | 0.619437i | ||
−0.143925 | − | 0.989589i | ||||||||
−3.73168 | − | 6.46345i | −0.129528 | − | 0.224350i | |||||
−1.77777 | −0.0616703 | |||||||||
0 | 0 | |||||||||
32.4620 | 1.12474 | |||||||||
24.2250 | + | 41.9589i | 0.838842 | + | 1.45292i | |||||
2.83004 | + | 4.90178i | 0.0979377 | + | 0.169633i | |||||
5.75249 | − | 9.96360i | 0.198954 | − | 0.344598i | |||||
−9.51573 | −0.328912 | |||||||||
8.94749 | − | 15.4975i | 0.309086 | − | 0.535353i | |||||
11.5761 | − | 20.0503i | 0.399650 | − | 0.692214i | −0.594033 | − | 0.804441i | ||
0.993683 | + | 0.112227i | ||||||||
−5.08815 | −0.175558 | |||||||||
12.6724 | − | 21.9493i | 0.436980 | − | 0.756871i | |||||
−18.2582 | − | 31.6241i | −0.629218 | − | 1.08984i | |||||
−0.810667 | − | 1.40412i | −0.0279209 | − | 0.0483603i | |||||
−2.41417 | −0.0830993 | |||||||||
0 | 0 | |||||||||
2.02715 | 0.0696948 | |||||||||
−0.699554 | − | 1.21166i | −0.0240370 | − | 0.0416332i | |||||
49.4233 | + | 85.6037i | 1.69720 | + | 2.93964i | |||||
2.49180 | − | 4.31593i | 0.0855185 | − | 0.148122i | |||||
−50.9256 | −1.74673 | |||||||||
16.5765 | − | 28.7113i | 0.568235 | − | 0.984212i | |||||
27.5562 | − | 47.7288i | 0.944060 | − | 1.63516i | |||||
−26.7265 | −0.915097 | −0.457548 | − | 0.889185i | ||||||
−0.457548 | + | 0.889185i | ||||||||
2.55711 | − | 4.42905i | 0.0875026 | − | 0.151559i | |||||
−0.394928 | − | 0.684035i | −0.0135063 | − | 0.0233935i | |||||
27.9436 | + | 48.3997i | 0.955093 | + | 1.65427i | |||||
42.6064 | 1.45541 | 0.727703 | − | 0.685892i | ||||||
0.727703 | + | 0.685892i | ||||||||
0 | 0 | |||||||||
33.6079 | 1.14669 | 0.573344 | − | 0.819315i | ||||||
0.573344 | + | 0.819315i | ||||||||
30.5393 | + | 52.8956i | 1.04138 | + | 1.80372i | |||||
1.36294 | + | 2.36068i | 0.0464488 | + | 0.0804516i | |||||
−48.3841 | + | 83.8037i | −1.64797 | + | 2.85437i | |||||
−18.7047 | −0.636715 | −0.318358 | − | 0.947971i | ||||||
−0.318358 | + | 0.947971i | ||||||||
−8.80678 | + | 15.2538i | −0.299613 | + | 0.518945i | |||||
−12.5566 | + | 21.7486i | −0.426937 | + | 0.739476i | |||||
87.4210 | 2.97069 | |||||||||
3.26540 | − | 5.65583i | 0.110899 | − | 0.192082i | |||||
13.8542 | + | 23.9962i | 0.470242 | + | 0.814484i | |||||
1.94385 | + | 3.36684i | 0.0659404 | + | 0.114212i | |||||
−5.39852 | −0.183027 | |||||||||
0 | 0 | |||||||||
−30.2446 | −1.02421 | |||||||||
8.53684 | + | 14.7862i | 0.288928 | + | 0.500438i | |||||
5.84093 | + | 10.1168i | 0.197572 | + | 0.342205i | |||||
−2.59030 | + | 4.48653i | −0.0875682 | + | 0.151673i | |||||
54.9700 | 1.85726 | |||||||||
18.4119 | − | 31.8903i | 0.621724 | − | 1.07686i | −0.367440 | − | 0.930047i | ||
0.989165 | − | 0.146811i | ||||||||
17.2721 | − | 29.9162i | 0.582905 | − | 1.00962i | |||||
−0.0717525 | −0.00242015 | |||||||||
19.9092 | − | 34.4837i | 0.671138 | − | 1.16244i | |||||
20.5625 | + | 35.6153i | 0.692768 | + | 1.19991i | 0.970927 | + | 0.239374i | ||
−0.278159 | + | 0.960535i | ||||||||
−9.00753 | − | 15.6015i | −0.303299 | − | 0.525330i | |||||
30.7482 | 1.03476 | 0.517380 | − | 0.855756i | ||||||
0.517380 | + | 0.855756i | ||||||||
0 | 0 | |||||||||
4.29829 | 0.144485 | |||||||||
16.0993 | + | 27.8849i | 0.540867 | + | 0.936810i | |||||
−3.79470 | − | 6.57261i | −0.127414 | − | 0.220687i | 0.795260 | − | 0.606268i | ||
−0.922674 | + | 0.385581i | ||||||||
25.1434 | − | 43.5496i | 0.843757 | − | 1.46143i | |||||
2.48725 | 0.0834198 | |||||||||
−14.0154 | + | 24.2753i | −0.469796 | + | 0.813710i | |||||
1.45593 | − | 2.52174i | 0.0487754 | − | 0.0844815i | |||||
85.7891 | 2.87243 | |||||||||
0.283520 | − | 0.491071i | 0.00948763 | − | 0.0164331i | |||||
20.6412 | + | 35.7517i | 0.690346 | + | 1.19572i | |||||
−9.65465 | − | 16.7223i | −0.322719 | − | 0.558967i | |||||
12.3351 | 0.412088 | |||||||||
0 | 0 | |||||||||
−33.5934 | −1.12103 | |||||||||
9.09634 | + | 15.7553i | 0.303380 | + | 0.525470i | |||||
10.2310 | + | 17.7206i | 0.341034 | + | 0.590688i | |||||
−18.3898 | + | 31.8521i | −0.612655 | + | 1.06115i | |||||
−38.5029 | −1.28201 | |||||||||
3.07942 | − | 5.33371i | 0.102477 | − | 0.177495i | |||||
40.8940 | − | 70.8305i | 1.36012 | − | 2.35579i | |||||
−3.81115 | −0.126687 | |||||||||
3.40648 | − | 5.90019i | 0.113173 | − | 0.196021i | |||||
−9.66666 | − | 16.7431i | −0.320976 | − | 0.555947i | 0.659713 | − | 0.751517i | ||
−0.980690 | + | 0.195570i | ||||||||
17.2110 | + | 29.8103i | 0.571166 | + | 0.989289i | |||||
7.32304 | 0.242890 | |||||||||
0 | 0 | |||||||||
22.7149 | 0.752577 | 0.376288 | − | 0.926503i | ||||||
0.376288 | + | 0.926503i | ||||||||
4.90850 | + | 8.50177i | 0.162537 | + | 0.281522i | |||||
−3.84817 | − | 6.66522i | −0.127356 | − | 0.220587i | |||||
−43.6812 | + | 75.6580i | −1.44485 | + | 2.50255i | |||||
3.59073 | 0.118706 | |||||||||
−10.3769 | + | 17.9734i | −0.342864 | + | 0.593857i | |||||
−2.55765 | + | 4.42997i | −0.0844609 | + | 0.146291i | |||||
−13.0586 | −0.430998 | |||||||||
−7.14556 | + | 12.3765i | −0.235710 | + | 0.408262i | −0.959479 | − | 0.281781i | ||
0.723769 | + | 0.690043i | ||||||||
26.4178 | + | 45.7569i | 0.870968 | + | 1.50856i | |||||
2.59903 | + | 4.50165i | 0.0856410 | + | 0.148335i | |||||
65.6945 | 2.16353 | |||||||||
0 | 0 | |||||||||
−8.47889 | −0.278935 | |||||||||
−11.2177 | − | 19.4297i | −0.368837 | − | 0.638844i | |||||
44.6655 | + | 77.3629i | 1.46780 | + | 2.54230i | |||||
2.10992 | − | 3.65448i | 0.0692987 | − | 0.120029i | |||||
33.6746 | 1.10542 | |||||||||
16.3605 | − | 28.3373i | 0.536772 | − | 0.929716i | −0.462303 | − | 0.886722i | ||
0.999075 | − | 0.0429946i | ||||||||
−13.4348 | + | 23.2698i | −0.440545 | + | 0.763047i | |||||
−5.03923 | −0.165154 | |||||||||
−21.9242 | + | 37.9739i | −0.718152 | + | 1.24388i | |||||
−11.2714 | − | 19.5227i | −0.369010 | − | 0.639145i | |||||
−51.8492 | − | 89.8054i | −1.69656 | − | 2.93852i | |||||
14.8159 | 0.484533 | |||||||||
0 | 0 | |||||||||
−4.01400 | −0.131132 | −0.0655658 | − | 0.997848i | ||||||
−0.0655658 | + | 0.997848i | ||||||||
−1.39881 | − | 2.42282i | −0.0456729 | − | 0.0791077i | |||||
11.3306 | + | 19.6251i | 0.369759 | + | 0.640442i | |||||
2.07218 | − | 3.58912i | 0.0675870 | − | 0.117064i | |||||
28.2669 | 0.921476 | 0.460738 | − | 0.887536i | ||||||
0.460738 | + | 0.887536i | ||||||||
−23.2042 | + | 40.1908i | −0.756032 | + | 1.30949i | |||||
14.1528 | − | 24.5134i | 0.460878 | − | 0.798265i | |||||
−53.4228 | −1.73876 | |||||||||
−0.291053 | + | 0.504118i | −0.00946794 | + | 0.0163990i | |||||
43.4967 | + | 75.3385i | 1.41420 | + | 2.44947i | |||||
−18.9227 | − | 32.7751i | −0.614906 | − | 1.06505i | −0.990401 | − | 0.138225i | ||
0.375495 | − | 0.926825i | ||||||||
−7.00538 | −0.227524 | |||||||||
0 | 0 | |||||||||
7.90541 | 0.256485 | |||||||||
−13.1712 | − | 22.8132i | −0.427106 | − | 0.739769i | |||||
11.7654 | + | 20.3783i | 0.381319 | + | 0.660463i | |||||
20.4128 | − | 35.3560i | 0.661236 | − | 1.14529i | −0.319055 | − | 0.947736i | ||
0.980291 | − | 0.197558i | ||||||||
20.4112 | 0.660837 | |||||||||
11.1071 | − | 19.2381i | 0.359417 | − | 0.622529i | |||||
52.7343 | − | 91.3385i | 1.70555 | − | 2.95410i | |||||
−5.56704 | −0.179957 | |||||||||
11.2322 | − | 19.4548i | 0.362896 | − | 0.628555i | |||||
2.07271 | + | 3.59004i | 0.0669314 | + | 0.115929i | |||||
11.1932 | + | 19.3872i | 0.361260 | + | 0.625720i | |||||
59.5491 | 1.92094 | |||||||||
0 | 0 | |||||||||
6.39373 | 0.206035 | |||||||||
−49.8796 | − | 86.3939i | −1.60651 | − | 2.78256i | |||||
−9.23633 | − | 15.9978i | −0.297328 | − | 0.514987i | |||||
4.30463 | − | 7.45583i | 0.138499 | − | 0.239887i | |||||
−10.2798 | −0.330575 | −0.165288 | − | 0.986245i | ||||||
−0.165288 | + | 0.986245i | ||||||||
−11.0184 | + | 19.0845i | −0.354145 | + | 0.613398i | |||||
−1.82640 | + | 3.16341i | −0.0586723 | + | 0.101623i | |||||
48.2111 | 1.54796 | |||||||||
9.74027 | − | 16.8707i | 0.312580 | − | 0.541405i | −0.666340 | − | 0.745648i | ||
0.978920 | + | 0.204243i | ||||||||
2.62349 | + | 4.54402i | 0.0841485 | + | 0.145749i | |||||
−4.99396 | − | 8.64979i | −0.160099 | − | 0.277300i | |||||
−39.9997 | −1.28167 | |||||||||
0 | 0 | |||||||||
−44.6286 | −1.42853 | |||||||||
23.5269 | + | 40.7498i | 0.752693 | + | 1.30370i | 0.946513 | + | 0.322665i | ||
−0.193821 | + | 0.981037i | ||||||||
21.1419 | + | 36.6189i | 0.676044 | + | 1.17094i | |||||
−14.4529 | + | 25.0331i | −0.461916 | + | 0.800062i | |||||
−36.8305 | −1.17651 | |||||||||
−1.73005 | + | 2.99654i | −0.0552364 | + | 0.0956722i | |||||
6.72862 | − | 11.6543i | 0.214719 | − | 0.371904i | |||||
−34.4295 | −1.09813 | −0.549065 | − | 0.835779i | ||||||
−0.549065 | + | 0.835779i | ||||||||
21.4671 | − | 37.1821i | 0.684346 | − | 1.18532i | |||||
−2.44528 | − | 4.23535i | −0.0779131 | − | 0.134949i | |||||
12.4831 | + | 21.6213i | 0.397542 | + | 0.688563i | |||||
−0.417895 | −0.0133017 | |||||||||
0 | 0 | |||||||||
−63.9536 | −2.03361 | |||||||||
−4.11111 | − | 7.12066i | −0.130660 | − | 0.226309i | |||||
−3.65399 | − | 6.32890i | −0.116073 | − | 0.201044i | 0.802135 | − | 0.597142i | ||
−0.918208 | + | 0.396098i | ||||||||
83.8030 | − | 145.151i | 2.66075 | − | 4.60855i | |||||
−11.2295 | −0.356358 | |||||||||
−7.84601 | + | 13.5897i | −0.248860 | + | 0.431039i | |||||
−7.88620 | + | 13.6593i | −0.250009 | + | 0.433029i | |||||
13.8683 | 0.439434 | |||||||||
17.8458 | − | 30.9098i | 0.565181 | − | 0.978923i | −0.431851 | − | 0.901945i | ||
0.997033 | − | 0.0769780i | ||||||||
0.518713 | + | 0.898438i | 0.0164196 | + | 0.0284396i | |||||
−2.87651 | − | 4.98226i | −0.0910088 | − | 0.157632i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 507.2.e.l.484.3 | 6 | ||
13.2 | odd | 12 | 507.2.b.f.337.6 | 6 | |||
13.3 | even | 3 | 507.2.a.i.1.1 | ✓ | 3 | ||
13.4 | even | 6 | 507.2.e.i.22.1 | 6 | |||
13.5 | odd | 4 | 507.2.j.i.361.6 | 12 | |||
13.6 | odd | 12 | 507.2.j.i.316.1 | 12 | |||
13.7 | odd | 12 | 507.2.j.i.316.6 | 12 | |||
13.8 | odd | 4 | 507.2.j.i.361.1 | 12 | |||
13.9 | even | 3 | inner | 507.2.e.l.22.3 | 6 | ||
13.10 | even | 6 | 507.2.a.l.1.3 | yes | 3 | ||
13.11 | odd | 12 | 507.2.b.f.337.1 | 6 | |||
13.12 | even | 2 | 507.2.e.i.484.1 | 6 | |||
39.2 | even | 12 | 1521.2.b.k.1351.1 | 6 | |||
39.11 | even | 12 | 1521.2.b.k.1351.6 | 6 | |||
39.23 | odd | 6 | 1521.2.a.n.1.1 | 3 | |||
39.29 | odd | 6 | 1521.2.a.s.1.3 | 3 | |||
52.3 | odd | 6 | 8112.2.a.cg.1.3 | 3 | |||
52.23 | odd | 6 | 8112.2.a.cp.1.1 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.a.i.1.1 | ✓ | 3 | 13.3 | even | 3 | ||
507.2.a.l.1.3 | yes | 3 | 13.10 | even | 6 | ||
507.2.b.f.337.1 | 6 | 13.11 | odd | 12 | |||
507.2.b.f.337.6 | 6 | 13.2 | odd | 12 | |||
507.2.e.i.22.1 | 6 | 13.4 | even | 6 | |||
507.2.e.i.484.1 | 6 | 13.12 | even | 2 | |||
507.2.e.l.22.3 | 6 | 13.9 | even | 3 | inner | ||
507.2.e.l.484.3 | 6 | 1.1 | even | 1 | trivial | ||
507.2.j.i.316.1 | 12 | 13.6 | odd | 12 | |||
507.2.j.i.316.6 | 12 | 13.7 | odd | 12 | |||
507.2.j.i.361.1 | 12 | 13.8 | odd | 4 | |||
507.2.j.i.361.6 | 12 | 13.5 | odd | 4 | |||
1521.2.a.n.1.1 | 3 | 39.23 | odd | 6 | |||
1521.2.a.s.1.3 | 3 | 39.29 | odd | 6 | |||
1521.2.b.k.1351.1 | 6 | 39.2 | even | 12 | |||
1521.2.b.k.1351.6 | 6 | 39.11 | even | 12 | |||
8112.2.a.cg.1.3 | 3 | 52.3 | odd | 6 | |||
8112.2.a.cp.1.1 | 3 | 52.23 | odd | 6 |