Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(148,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.148");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 441.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 |
Coefficient field: | |
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 | 295.3 | ||
Root | of defining polynomial | ||
Character | 441.295 | ||
Dual form | 441.2.f.g.148.3 |
-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 .
−0.119562 | + | 0.207087i | −0.0845428 | + | 0.146433i | −0.905196 | − | 0.424994i | ||
0.820653 | + | 0.571426i | ||||||||
−1.12441 | − | 1.31746i | −0.649178 | − | 0.760637i | |||||
0.971410 | + | 1.68253i | 0.485705 | + | 0.841266i | |||||
1.29589 | + | 2.24456i | 0.579542 | + | 1.00380i | 0.995532 | + | 0.0944264i | ||
−0.415990 | + | 0.909369i | ||||||||
0.407265 | − | 0.0753324i | 0.166265 | − | 0.0307543i | |||||
0 | 0 | |||||||||
−0.942820 | −0.333337 | |||||||||
−0.471410 | + | 2.96273i | −0.157137 | + | 0.987577i | |||||
−0.619757 | −0.195984 | |||||||||
−2.09097 | + | 3.62167i | −0.630452 | + | 1.09197i | 0.357008 | + | 0.934101i | ||
−0.987459 | + | 0.157873i | ||||||||
1.12441 | − | 3.17165i | 0.324589 | − | 0.915576i | |||||
−1.84155 | − | 3.18966i | −0.510755 | − | 0.884653i | −0.999922 | − | 0.0124633i | ||
0.489168 | − | 0.872190i | ||||||||
0 | 0 | |||||||||
1.50000 | − | 4.23109i | 0.387298 | − | 1.09246i | |||||
−1.83009 | + | 3.16982i | −0.457524 | + | 0.792454i | |||||
1.71107 | 0.414996 | 0.207498 | − | 0.978235i | ||||||
0.207498 | + | 0.978235i | ||||||||
−0.557180 | − | 0.451852i | −0.131329 | − | 0.106502i | |||||
−7.15561 | −1.64161 | −0.820805 | − | 0.571209i | ||||||
−0.820805 | + | 0.571209i | ||||||||
−2.51769 | + | 4.36077i | −0.562973 | + | 0.975097i | |||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.106600 | − | 0.184637i | |||||
2.56238 | + | 4.43818i | 0.534294 | + | 0.925424i | 0.999197 | + | 0.0400622i | ||
−0.464904 | + | 0.885361i | ||||||||
1.06012 | + | 1.24213i | 0.216395 | + | 0.253549i | |||||
−0.858685 | + | 1.48729i | −0.171737 | + | 0.297457i | |||||
0.880716 | 0.172723 | |||||||||
4.43334 | − | 2.71026i | 0.853197 | − | 0.521589i | |||||
0 | 0 | |||||||||
1.06238 | − | 1.84010i | 0.197279 | − | 0.341698i | −0.750366 | − | 0.661023i | ||
0.947645 | + | 0.319325i | ||||||||
0.696860 | + | 0.816506i | 0.127229 | + | 0.149073i | |||||
3.26793 | + | 5.66021i | 0.586937 | + | 1.01660i | 0.994631 | + | 0.103486i | ||
−0.407694 | + | 0.913119i | ||||||||
−1.38044 | − | 2.39099i | −0.244029 | − | 0.422671i | |||||
7.12252 | − | 1.31746i | 1.23987 | − | 0.229341i | |||||
−0.204579 | + | 0.354341i | −0.0350850 | + | 0.0607689i | |||||
0 | 0 | |||||||||
−5.44282 | + | 2.08486i | −0.907137 | + | 0.347477i | |||||
1.66019 | 0.272934 | 0.136467 | − | 0.990645i | ||||||
0.136467 | + | 0.990645i | ||||||||
0.855536 | − | 1.48183i | 0.138786 | − | 0.240385i | |||||
−2.13160 | + | 6.01266i | −0.341329 | + | 0.962796i | |||||
−1.22180 | − | 2.11621i | −0.193183 | − | 0.334602i | |||||
5.10948 | + | 8.84988i | 0.797967 | + | 1.38212i | 0.920938 | + | 0.389708i | ||
−0.122972 | + | 0.992410i | ||||||||
0 | 0 | |||||||||
0.830095 | − | 1.43777i | 0.126588 | − | 0.219257i | −0.795764 | − | 0.605606i | ||
0.922353 | + | 0.386349i | ||||||||
−8.12476 | −1.22485 | |||||||||
−7.26091 | + | 2.78128i | −1.08239 | + | 0.414609i | |||||
−1.22545 | −0.180683 | |||||||||
−4.66912 | + | 8.08715i | −0.681061 | + | 1.17963i | 0.293596 | + | 0.955930i | ||
−0.974657 | + | 0.223703i | ||||||||
6.23389 | − | 1.15309i | 0.899784 | − | 0.166434i | |||||
0 | 0 | |||||||||
−0.205332 | − | 0.355645i | −0.0290383 | − | 0.0502958i | |||||
−1.92395 | − | 2.25427i | −0.269406 | − | 0.315661i | |||||
3.57780 | − | 6.19694i | 0.496152 | − | 0.859361i | |||||
10.6465 | 1.46241 | 0.731206 | − | 0.682157i | ||||||
0.731206 | + | 0.682157i | ||||||||
0.0312007 | + | 1.24213i | 0.00424588 | + | 0.169032i | |||||
−10.8387 | −1.46149 | |||||||||
0 | 0 | |||||||||
8.04583 | + | 9.42724i | 1.06570 | + | 1.24867i | |||||
0.254040 | + | 0.440011i | 0.0333571 | + | 0.0577762i | |||||
−3.03215 | − | 5.25183i | −0.394752 | − | 0.683730i | 0.598318 | − | 0.801259i | ||
−0.993069 | + | 0.117529i | ||||||||
8.57605 | − | 1.58632i | 1.10716 | − | 0.204794i | |||||
3.99298 | − | 6.91605i | 0.511249 | − | 0.885509i | −0.488666 | − | 0.872471i | ||
0.999915 | − | 0.0130384i | ||||||||
−1.56287 | −0.198485 | |||||||||
0 | 0 | |||||||||
−6.66019 | −0.832524 | |||||||||
4.77292 | − | 8.26693i | 0.592007 | − | 1.02539i | |||||
−0.578751 | + | 1.63250i | −0.0712393 | + | 0.200947i | |||||
−4.13160 | − | 7.15614i | −0.504755 | − | 0.874262i | −0.999985 | − | 0.00549964i | ||
0.495230 | − | 0.868762i | ||||||||
1.66215 | + | 2.87893i | 0.201566 | + | 0.349122i | |||||
2.96596 | − | 8.36616i | 0.357060 | − | 1.00717i | |||||
0 | 0 | |||||||||
6.23912 | 0.740448 | 0.370224 | − | 0.928943i | ||||||
0.370224 | + | 0.928943i | ||||||||
0.444455 | − | 2.79332i | 0.0523795 | − | 0.329196i | |||||
7.15561 | 0.837501 | 0.418750 | − | 0.908101i | ||||||
0.418750 | + | 0.908101i | ||||||||
−0.198495 | + | 0.343803i | −0.0230746 | + | 0.0399663i | |||||
2.92495 | − | 0.541033i | 0.337745 | − | 0.0624731i | |||||
−6.95103 | − | 12.0395i | −0.797338 | − | 1.38103i | |||||
0 | 0 | |||||||||
−0.990285 | − | 1.16031i | −0.112128 | − | 0.131379i | |||||
4.91423 | − | 8.51170i | 0.552894 | − | 0.957641i | −0.445170 | − | 0.895446i | ||
0.998064 | − | 0.0621945i | ||||||||
−9.48644 | −1.06062 | |||||||||
−8.55555 | − | 2.79332i | −0.950616 | − | 0.310369i | |||||
−2.44359 | −0.269849 | |||||||||
−3.44733 | + | 5.97094i | −0.378393 | + | 0.655396i | −0.990829 | − | 0.135124i | ||
0.612436 | + | 0.790521i | ||||||||
0 | 0 | |||||||||
2.21737 | + | 3.84060i | 0.240508 | + | 0.416571i | |||||
0.198495 | + | 0.343803i | 0.0214043 | + | 0.0370733i | |||||
−3.61881 | + | 0.669376i | −0.387977 | + | 0.0717647i | |||||
1.97141 | − | 3.41458i | 0.210153 | − | 0.363996i | |||||
−5.03538 | −0.533749 | −0.266875 | − | 0.963731i | ||||||
−0.266875 | + | 0.963731i | ||||||||
0.292160 | − | 1.83617i | 0.0307963 | − | 0.193550i | |||||
0 | 0 | |||||||||
−4.97825 | + | 8.62258i | −0.519018 | + | 0.898966i | |||||
3.78263 | − | 10.6698i | 0.392240 | − | 1.10640i | |||||
−1.11650 | − | 1.93383i | −0.115158 | − | 0.199459i | |||||
−9.27292 | − | 16.0612i | −0.951381 | − | 1.64784i | |||||
−1.59786 | + | 4.50712i | −0.163081 | + | 0.460006i | |||||
−1.53167 | + | 2.65294i | −0.155518 | + | 0.269365i | −0.933247 | − | 0.359234i | ||
0.777730 | + | 0.628599i | ||||||||
0 | 0 | |||||||||
−9.74433 | − | 7.90228i | −0.979342 | − | 0.794209i | |||||
−3.33654 | −0.333654 | |||||||||
5.54984 | − | 9.61260i | 0.552229 | − | 0.956489i | −0.445884 | − | 0.895091i | ||
0.998113 | − | 0.0613986i | ||||||||
0.696860 | − | 0.128899i | 0.0689994 | − | 0.0127629i | |||||
−3.99298 | − | 6.91605i | −0.393440 | − | 0.681459i | 0.599460 | − | 0.800404i | ||
−0.992901 | + | 0.118946i | ||||||||
1.73625 | + | 3.00728i | 0.170254 | + | 0.294888i | |||||
0 | 0 | |||||||||
−1.27292 | + | 2.20475i | −0.123636 | + | 0.214145i | |||||
3.95649 | 0.382489 | 0.191244 | − | 0.981542i | ||||||
0.191244 | + | 0.981542i | ||||||||
8.86668 | + | 4.82647i | 0.853197 | + | 0.464427i | |||||
7.26320 | 0.695688 | 0.347844 | − | 0.937552i | ||||||
0.347844 | + | 0.937552i | ||||||||
1.29589 | − | 2.24456i | 0.123559 | − | 0.214010i | |||||
−1.86673 | − | 2.18724i | −0.177182 | − | 0.207603i | |||||
0 | 0 | |||||||||
−3.46457 | − | 6.00082i | −0.325920 | − | 0.564509i | 0.655778 | − | 0.754953i | ||
−0.981698 | + | 0.190444i | ||||||||
−2.91423 | + | 0.539049i | −0.272943 | + | 0.0504866i | |||||
−6.64115 | + | 11.5028i | −0.619291 | + | 1.07264i | |||||
4.12803 | 0.383278 | |||||||||
10.3182 | − | 3.95238i | 0.953921 | − | 0.365398i | |||||
1.45011 | 0.133494 | |||||||||
0 | 0 | |||||||||
−1.41423 | + | 3.98916i | −0.129101 | + | 0.364158i | |||||
−3.24433 | − | 5.61934i | −0.294939 | − | 0.510849i | |||||
0.954815 | + | 1.65379i | 0.0864449 | + | 0.149727i | |||||
5.91423 | − | 16.6824i | 0.533268 | − | 1.50420i | |||||
−6.34899 | + | 10.9968i | −0.570156 | + | 0.987540i | |||||
8.50788 | 0.760968 | |||||||||
0 | 0 | |||||||||
9.11109 | 0.808479 | 0.404239 | − | 0.914653i | ||||||
0.404239 | + | 0.914653i | ||||||||
3.55718 | − | 6.16122i | 0.314413 | − | 0.544580i | |||||
−2.82757 | + | 0.523019i | −0.248954 | + | 0.0460493i | |||||
1.14132 | + | 1.97682i | 0.100100 | + | 0.173378i | |||||
2.15143 | + | 3.72639i | 0.187971 | + | 0.325576i | 0.944574 | − | 0.328299i | ||
−0.756602 | + | 0.653875i | ||||||||
9.13555 | + | 10.7041i | 0.795148 | + | 0.931669i | |||||
0 | 0 | |||||||||
1.97592 | 0.170694 | |||||||||
11.8285 | + | 6.43867i | 1.01803 | + | 0.554153i | |||||
−1.61323 | −0.138334 | |||||||||
−10.2947 | + | 17.8309i | −0.879533 | + | 1.52340i | −0.0276785 | + | 0.999617i | ||
−0.851854 | + | 0.523779i | ||||||||
1.37791 | + | 1.61448i | 0.117295 | + | 0.137434i | |||||
7.88067 | + | 13.6497i | 0.668429 | + | 1.15775i | 0.978343 | + | 0.206989i | ||
−0.309914 | + | 0.950765i | ||||||||
0 | 0 | |||||||||
15.9045 | − | 2.94188i | 1.33940 | − | 0.247751i | |||||
−0.745960 | + | 1.29204i | −0.0625996 | + | 0.108426i | |||||
15.4025 | 1.28802 | |||||||||
−8.52859 | − | 6.91636i | −0.710716 | − | 0.576364i | |||||
5.50694 | 0.457326 | |||||||||
−0.855536 | + | 1.48183i | −0.0708047 | + | 0.122637i | |||||
0 | 0 | |||||||||
1.61273 | + | 2.79332i | 0.132565 | + | 0.229610i | |||||
−3.03379 | − | 5.25468i | −0.248538 | − | 0.430480i | 0.714582 | − | 0.699551i | ||
−0.963120 | + | 0.269071i | ||||||||
−0.237672 | + | 0.670406i | −0.0194058 | + | 0.0547385i | |||||
−2.24433 | + | 3.88728i | −0.182641 | + | 0.316343i | −0.942779 | − | 0.333418i | ||
0.760138 | + | 0.649761i | ||||||||
6.74645 | 0.547210 | |||||||||
−0.806617 | + | 5.06945i | −0.0652111 | + | 0.409841i | |||||
0 | 0 | |||||||||
−8.46978 | + | 14.6701i | −0.680309 | + | 1.17833i | |||||
−12.1871 | + | 2.25427i | −0.975753 | + | 0.180486i | |||||
−0.514457 | − | 0.891066i | −0.0410582 | − | 0.0711148i | 0.844766 | − | 0.535136i | ||
−0.885824 | + | 0.464021i | ||||||||
1.17511 | + | 2.03534i | 0.0934865 | + | 0.161923i | |||||
−11.9710 | − | 14.0264i | −0.949365 | − | 1.11236i | |||||
3.57780 | − | 6.19694i | 0.282850 | − | 0.489911i | |||||
0 | 0 | |||||||||
1.60138 | − | 1.43777i | 0.125816 | − | 0.112962i | |||||
6.82846 | 0.534846 | 0.267423 | − | 0.963579i | ||||||
0.267423 | + | 0.963579i | ||||||||
−9.92680 | + | 17.1937i | −0.775153 | + | 1.34260i | |||||
12.1871 | + | 14.2796i | 0.948768 | + | 1.11166i | |||||
−0.824336 | − | 1.42779i | −0.0639809 | − | 0.110818i | |||||
−8.99716 | − | 15.5835i | −0.696221 | − | 1.20589i | −0.969767 | − | 0.244032i | ||
0.273546 | − | 0.961859i | ||||||||
0 | 0 | |||||||||
−0.282630 | + | 0.489530i | −0.0217408 | + | 0.0376561i | |||||
−1.06045 | −0.0813328 | |||||||||
3.37323 | − | 21.2001i | 0.257957 | − | 1.62122i | |||||
3.22545 | 0.245938 | |||||||||
0.415178 | − | 0.719110i | 0.0315654 | − | 0.0546729i | −0.849811 | − | 0.527087i | ||
0.881377 | + | 0.472414i | ||||||||
0.294052 | − | 0.829440i | 0.0222920 | − | 0.0628797i | |||||
0 | 0 | |||||||||
−7.65335 | − | 13.2560i | −0.576893 | − | 0.999208i | |||||
−3.50972 | + | 9.89994i | −0.263806 | + | 0.744125i | |||||
0.602038 | − | 1.04276i | 0.0451247 | − | 0.0781582i | |||||
7.57893 | 0.566476 | 0.283238 | − | 0.959050i | ||||||
0.283238 | + | 0.959050i | ||||||||
−11.7329 | − | 9.51495i | −0.874520 | − | 0.709202i | |||||
0.409157 | 0.0304124 | 0.0152062 | − | 0.999884i | ||||||
0.0152062 | + | 0.999884i | ||||||||
0 | 0 | |||||||||
−13.6014 | + | 2.51586i | −1.00544 | + | 0.185978i | |||||
−2.41586 | − | 4.18440i | −0.178100 | − | 0.308478i | |||||
2.15143 | + | 3.72639i | 0.158176 | + | 0.273969i | |||||
1.75731 | + | 2.05903i | 0.128852 | + | 0.150975i | |||||
−3.57780 | + | 6.19694i | −0.261635 | + | 0.453165i | |||||
−18.1425 | −1.32318 | |||||||||
0 | 0 | |||||||||
4.43474 | 0.321730 | |||||||||
−8.01204 | + | 13.8773i | −0.579731 | + | 1.00412i | 0.415779 | + | 0.909466i | ||
−0.995510 | + | 0.0946575i | ||||||||
7.48878 | + | 8.77454i | 0.540456 | + | 0.633248i | |||||
6.18715 | + | 10.7164i | 0.445360 | + | 0.771387i | 0.998077 | − | 0.0619822i | ||
−0.552717 | + | 0.833369i | ||||||||
−0.366259 | − | 0.634379i | −0.0262959 | − | 0.0455458i | |||||
−16.2581 | + | 3.00728i | −1.16426 | + | 0.215356i | |||||
0 | 0 | |||||||||
23.1021 | 1.64595 | 0.822977 | − | 0.568075i | ||||||
0.822977 | + | 0.568075i | ||||||||
2.80150 | − | 1.07311i | 0.199094 | − | 0.0762628i | |||||
−6.74645 | −0.478243 | −0.239122 | − | 0.970990i | ||||||
−0.239122 | + | 0.970990i | ||||||||
0.809585 | − | 1.40224i | 0.0572463 | − | 0.0991536i | |||||
−4.78233 | + | 13.4897i | −0.337320 | + | 0.951487i | |||||
1.32710 | + | 2.29860i | 0.0933741 | + | 0.161729i | |||||
0 | 0 | |||||||||
1.92395 | − | 5.42692i | 0.134703 | − | 0.379961i | |||||
−13.2427 | + | 22.9370i | −0.924910 | + | 1.60199i | |||||
1.90963 | 0.133050 | |||||||||
−14.3571 | + | 5.49945i | −0.997884 | + | 0.382238i | |||||
13.4809 | 0.934730 | |||||||||
14.9622 | − | 25.9153i | 1.03496 | − | 1.79260i | |||||
0 | 0 | |||||||||
−8.44282 | − | 14.6234i | −0.581228 | − | 1.00672i | −0.995334 | − | 0.0964875i | ||
0.414106 | − | 0.910228i | ||||||||
10.3421 | + | 17.9131i | 0.710301 | + | 1.23028i | |||||
−7.01532 | − | 8.21981i | −0.480682 | − | 0.563212i | |||||
−0.473045 | + | 0.819338i | −0.0323367 | + | 0.0560088i | |||||
4.30286 | 0.293453 | |||||||||
−4.17984 | + | 2.55528i | −0.284402 | + | 0.173865i | |||||
0 | 0 | |||||||||
−0.868400 | + | 1.50411i | −0.0588155 | + | 0.101871i | |||||
−8.04583 | − | 9.42724i | −0.543687 | − | 0.637034i | |||||
−10.5288 | − | 18.2365i | −0.709854 | − | 1.22950i | |||||
−3.15103 | − | 5.45774i | −0.211961 | − | 0.367128i | |||||
0.676137 | − | 0.125066i | 0.0453794 | − | 0.00839388i | |||||
2.25071 | − | 3.89834i | 0.150719 | − | 0.261052i | −0.780773 | − | 0.624815i | ||
0.931492 | + | 0.363762i | ||||||||
0 | 0 | |||||||||
−4.00163 | − | 3.24517i | −0.266776 | − | 0.216345i | |||||
1.65692 | 0.110217 | |||||||||
3.03215 | − | 5.25183i | 0.201251 | − | 0.348576i | −0.747681 | − | 0.664058i | ||
0.948932 | + | 0.315482i | ||||||||
−8.04583 | + | 22.6951i | −0.532848 | + | 1.50302i | |||||
5.52466 | + | 9.56899i | 0.365080 | + | 0.632336i | 0.988789 | − | 0.149320i | ||
−0.623709 | + | 0.781656i | ||||||||
−1.58805 | − | 2.75059i | −0.104713 | − | 0.181369i | |||||
0 | 0 | |||||||||
−1.00163 | + | 1.73488i | −0.0657605 | + | 0.113901i | |||||
−8.13844 | −0.533167 | −0.266583 | − | 0.963812i | ||||||
−0.266583 | + | 0.963812i | ||||||||
−0.415178 | + | 2.60932i | −0.0271411 | + | 0.170577i | |||||
−24.2028 | −1.57881 | |||||||||
5.89092 | − | 10.2034i | 0.383466 | − | 0.664183i | |||||
−16.7394 | + | 3.09632i | −1.08734 | + | 0.201127i | |||||
0 | 0 | |||||||||
−10.5813 | − | 18.3273i | −0.684445 | − | 1.18549i | −0.973611 | − | 0.228214i | ||
0.289166 | − | 0.957279i | ||||||||
10.6666 | + | 12.4980i | 0.688528 | + | 0.806744i | |||||
−6.84573 | + | 11.8572i | −0.440972 | + | 0.763786i | −0.997762 | − | 0.0668671i | ||
0.556790 | + | 0.830654i | ||||||||
1.55159 | 0.0997398 | |||||||||
5.93984 | + | 14.4124i | 0.381041 | + | 0.924558i | |||||
15.5153 | 0.993265 | |||||||||
0 | 0 | |||||||||
2.74759 | + | 3.21934i | 0.175180 | + | 0.205257i | |||||
13.1774 | + | 22.8240i | 0.838460 | + | 1.45225i | |||||
−3.08107 | − | 5.33656i | −0.195648 | − | 0.338872i | |||||
11.7427 | − | 2.17206i | 0.744163 | − | 0.137649i | |||||
−1.01722 | + | 1.76187i | −0.0643344 | + | 0.111430i | |||||
15.2040 | 0.959667 | 0.479833 | − | 0.877360i | ||||||
0.479833 | + | 0.877360i | ||||||||
0 | 0 | |||||||||
−21.4315 | −1.34738 | |||||||||
−1.08934 | + | 1.88679i | −0.0683511 | + | 0.118388i | |||||
2.56661 | − | 7.23970i | 0.160727 | − | 0.453368i | |||||
−5.80959 | − | 10.0625i | −0.363099 | − | 0.628906i | |||||
−12.8107 | − | 22.1889i | −0.799112 | − | 1.38410i | −0.920195 | − | 0.391461i | ||
0.121082 | − | 0.992642i | ||||||||
0.229758 | − | 0.648085i | 0.0143041 | − | 0.0403480i | |||||
0 | 0 | |||||||||
18.5458 | 1.15016 | |||||||||
4.95090 | + | 4.01499i | 0.306453 | + | 0.248522i | |||||
−1.02891 | −0.0635665 | |||||||||
−3.55034 | + | 6.14938i | −0.218924 | + | 0.379187i | −0.954479 | − | 0.298278i | ||
0.735556 | + | 0.677464i | ||||||||
−6.71525 | + | 1.24213i | −0.413295 | + | 0.0764478i | |||||
13.7968 | + | 23.8967i | 0.847528 | + | 1.46796i | |||||
0 | 0 | |||||||||
5.66182 | + | 6.63392i | 0.346498 | + | 0.405989i | |||||
8.02696 | − | 13.9031i | 0.490324 | − | 0.849267i | |||||
−16.4314 | −1.00184 | −0.500922 | − | 0.865493i | ||||||
−0.500922 | + | 0.865493i | ||||||||
−2.74759 | + | 1.67970i | −0.167213 | + | 0.102223i | |||||
12.6980 | 0.771348 | 0.385674 | − | 0.922635i | ||||||
0.385674 | + | 0.922635i | ||||||||
−3.13143 | + | 5.42379i | −0.189871 | + | 0.328865i | |||||
0 | 0 | |||||||||
−2.46169 | − | 4.26378i | −0.148716 | − | 0.257584i | |||||
−3.59097 | − | 6.21975i | −0.216544 | − | 0.375065i | |||||
16.9575 | − | 3.13665i | 1.02072 | − | 0.188804i | |||||
0.414230 | − | 0.717468i | 0.0248887 | − | 0.0431084i | −0.853313 | − | 0.521399i | ||
0.878201 | + | 0.478291i | ||||||||
−3.76890 | −0.226044 | |||||||||
−18.3102 | + | 7.01370i | −1.09620 | + | 0.419899i | |||||
0 | 0 | |||||||||
−2.60985 | + | 4.52039i | −0.155690 | + | 0.269664i | −0.933310 | − | 0.359071i | ||
0.777620 | + | 0.628735i | ||||||||
−1.29235 | + | 3.64535i | −0.0769580 | + | 0.217078i | |||||
3.67708 | + | 6.36890i | 0.218580 | + | 0.378592i | 0.954374 | − | 0.298614i | ||
−0.735794 | + | 0.677205i | ||||||||
6.06075 | + | 10.4975i | 0.359639 | + | 0.622913i | |||||
−10.7334 | + | 30.2760i | −0.635793 | + | 1.79340i | |||||
−1.84155 | + | 3.18966i | −0.108893 | + | 0.188609i | |||||
0 | 0 | |||||||||
7.73461 | − | 2.96273i | 0.455766 | − | 0.174581i | |||||
−14.0722 | −0.827778 | |||||||||
−0.658419 | + | 1.14041i | −0.0386637 | + | 0.0669674i | |||||
5.21737 | − | 0.965064i | 0.305848 | − | 0.0565731i | |||||
6.95103 | + | 12.0395i | 0.406778 | + | 0.704561i | |||||
−3.91286 | − | 6.77728i | −0.228592 | − | 0.395933i | 0.728799 | − | 0.684728i | ||
−0.957391 | + | 0.288795i | ||||||||
0 | 0 | |||||||||
7.85868 | − | 13.6116i | 0.457550 | − | 0.792500i | |||||
−1.56526 | −0.0909789 | |||||||||
0.545658 | + | 21.7232i | 0.0316623 | + | 1.26051i | |||||
1.45090 | 0.0840484 | |||||||||
9.43752 | − | 16.3463i | 0.545786 | − | 0.945329i | |||||
3.75164 | + | 4.39576i | 0.216601 | + | 0.253790i | |||||
0 | 0 | |||||||||
−0.536670 | − | 0.929540i | −0.0308819 | − | 0.0534890i | |||||
−18.9045 | + | 3.49679i | −1.08604 | + | 0.200886i | |||||
13.0954 | − | 22.6820i | 0.751075 | − | 1.30090i | |||||
20.6979 | 1.18516 | |||||||||
−0.953375 | − | 0.773151i | −0.0545008 | − | 0.0441981i | |||||
22.6709 | 1.29390 | 0.646948 | − | 0.762534i | ||||||
0.646948 | + | 0.762534i | ||||||||
0 | 0 | |||||||||
−4.62188 | + | 13.0371i | −0.262930 | + | 0.741653i | |||||
−2.02532 | − | 3.50796i | −0.115030 | − | 0.199239i | |||||
16.1588 | + | 27.9879i | 0.916281 | + | 1.58705i | 0.805015 | + | 0.593255i | ||
0.111266 | + | 0.993791i | ||||||||
2.00972 | − | 5.66886i | 0.113778 | − | 0.320936i | |||||
12.1598 | − | 21.0614i | 0.687312 | − | 1.19046i | −0.285392 | − | 0.958411i | ||
0.972704 | − | 0.232048i | ||||||||
0.246037 | 0.0138847 | |||||||||
0 | 0 | |||||||||
19.0949 | 1.07417 | |||||||||
−2.56922 | + | 4.45002i | −0.144302 | + | 0.249938i | −0.929112 | − | 0.369798i | ||
0.784811 | + | 0.619736i | ||||||||
4.33595 | − | 0.802027i | 0.243148 | − | 0.0449755i | |||||
4.44282 | + | 7.69519i | 0.248750 | + | 0.430848i | |||||
−8.63090 | − | 14.9492i | −0.482482 | − | 0.835684i | |||||
−4.44872 | − | 5.21253i | −0.248303 | − | 0.290935i | |||||
0 | 0 | |||||||||
−12.2438 | −0.681262 | |||||||||
−3.61109 | − | 17.1084i | −0.200616 | − | 0.950469i | |||||
6.32525 | 0.350862 | |||||||||
−0.816422 | + | 1.41408i | −0.0452174 | + | 0.0783189i | |||||
−8.16681 | − | 9.56899i | −0.451625 | − | 0.529166i | |||||
−4.81732 | − | 8.34384i | −0.265992 | − | 0.460712i | |||||
0 | 0 | |||||||||
−4.41423 | + | 0.816506i | −0.242995 | + | 0.0449472i | |||||
5.84897 | − | 10.1307i | 0.321488 | − | 0.556834i | −0.659307 | − | 0.751874i | ||
0.980795 | + | 0.195040i | ||||||||
−13.3951 | −0.735150 | |||||||||
−0.782630 | + | 4.91870i | −0.0428879 | + | 0.269543i | |||||
4.30286 | 0.235442 | |||||||||
10.7082 | − | 18.5472i | 0.585053 | − | 1.01334i | |||||
0 | 0 | |||||||||
16.8473 | + | 29.1804i | 0.917733 | + | 1.58956i | 0.802850 | + | 0.596181i | ||
0.114883 | + | 0.993379i | ||||||||
−0.0675835 | − | 0.117058i | −0.00367606 | − | 0.00636711i | |||||
−4.01025 | + | 11.3118i | −0.217807 | + | 0.614373i | |||||
−4.30795 | + | 7.46159i | −0.233631 | + | 0.404661i | |||||
−27.3326 | −1.48014 | |||||||||
3.98696 | + | 3.23327i | 0.215590 | + | 0.174835i | |||||
0 | 0 | |||||||||
−0.782630 | + | 1.35556i | −0.0421966 | + | 0.0730866i | |||||
22.6219 | − | 4.18440i | 1.21792 | − | 0.225281i | |||||
0.0992788 | + | 0.171956i | 0.00533726 | + | 0.00924441i | |||||
−13.6557 | − | 23.6523i | −0.733075 | − | 1.26972i | −0.955563 | − | 0.294788i | ||
0.222488 | − | 0.974936i | ||||||||
−4.64160 | − | 5.43852i | −0.248816 | − | 0.291536i | |||||
−11.4585 | + | 19.8467i | −0.613358 | + | 1.06237i | 0.377312 | + | 0.926086i | ||
−0.990670 | + | 0.136281i | ||||||||
0 | 0 | |||||||||
−16.8090 | − | 9.14978i | −0.897200 | − | 0.488379i | |||||
11.5458 | 0.615395 | |||||||||
−5.13466 | + | 8.89349i | −0.273290 | + | 0.473353i | −0.969702 | − | 0.244289i | ||
0.696412 | + | 0.717642i | ||||||||
−1.63052 | − | 1.91047i | −0.0866612 | − | 0.101540i | |||||
8.08525 | + | 14.0041i | 0.429120 | + | 0.743258i | |||||
−4.89142 | − | 8.47218i | −0.259245 | − | 0.449025i | |||||
0 | 0 | |||||||||
−0.906150 | + | 1.56950i | −0.0478915 | + | 0.0829505i | |||||
10.1007 | 0.533094 | 0.266547 | − | 0.963822i | ||||||
0.266547 | + | 0.963822i | ||||||||
6.84573 | − | 2.62225i | 0.360802 | − | 0.138205i | |||||
32.2028 | 1.69488 | |||||||||
−0.0489195 | + | 0.0847311i | −0.00257115 | + | 0.00445337i | |||||
−3.75531 | + | 10.5927i | −0.197103 | + | 0.555973i | |||||
0 | 0 | |||||||||
9.27292 | + | 16.0612i | 0.485367 | + | 0.840680i | |||||
1.10520 | − | 3.11747i | 0.0577697 | − | 0.162953i | |||||
3.88768 | − | 6.73367i | 0.202935 | − | 0.351494i | −0.746538 | − | 0.665343i | ||
0.949473 | + | 0.313849i | ||||||||
−18.7576 | −0.977808 | |||||||||
−28.6285 | + | 10.9661i | −1.49034 | + | 0.570872i | |||||
−1.02891 | −0.0534907 | |||||||||
0 | 0 | |||||||||
21.6267 | − | 4.00032i | 1.12129 | − | 0.207407i | |||||
−12.0555 | − | 20.8808i | −0.624212 | − | 1.08117i | −0.988693 | − | 0.149957i | ||
0.364480 | − | 0.931211i | ||||||||
−0.855536 | − | 1.48183i | −0.0442387 | − | 0.0766237i | |||||
−9.56634 | − | 11.2088i | −0.494004 | − | 0.578821i | |||||
4.40214 | − | 7.62473i | 0.227023 | − | 0.393215i | |||||
−7.82573 | −0.403045 | |||||||||
0 | 0 | |||||||||
−13.3581 | −0.686161 | −0.343081 | − | 0.939306i | ||||||
−0.343081 | + | 0.939306i | ||||||||
18.0156 | − | 31.2039i | 0.924181 | − | 1.60073i | |||||
−10.2446 | − | 12.0035i | −0.524846 | − | 0.614959i | |||||
−1.91586 | − | 3.31838i | −0.0980242 | − | 0.169783i | |||||
4.62020 | + | 8.00242i | 0.236081 | + | 0.408905i | 0.959586 | − | 0.281414i | ||
−0.723505 | + | 0.690319i | ||||||||
−12.1169 | + | 2.24128i | −0.618337 | + | 0.114375i | |||||
0 | 0 | |||||||||
−2.95898 | −0.150608 | |||||||||
3.86840 | + | 3.13713i | 0.196642 | + | 0.159469i | |||||
−5.95153 | −0.302143 | |||||||||
−5.22421 | + | 9.04859i | −0.264878 | + | 0.458782i | −0.967532 | − | 0.252750i | ||
0.702654 | + | 0.711532i | ||||||||
1.32107 | − | 3.72639i | 0.0668952 | − | 0.188693i | |||||
4.38442 | + | 7.59404i | 0.221730 | + | 0.384047i | |||||
0 | 0 | |||||||||
2.49028 | − | 7.02441i | 0.125618 | − | 0.354335i | |||||
−2.76212 | + | 4.78413i | −0.139154 | + | 0.241021i | |||||
25.4733 | 1.28170 | |||||||||
3.83009 | − | 24.0715i | 0.192470 | − | 1.20964i | |||||
−0.409157 | −0.0205350 | −0.0102675 | − | 0.999947i | ||||||
−0.0102675 | + | 0.999947i | ||||||||
0.806617 | − | 1.39710i | 0.0404321 | − | 0.0700304i | |||||
0 | 0 | |||||||||
−3.14295 | − | 5.44375i | −0.157147 | − | 0.272187i | |||||
−7.62640 | − | 13.2093i | −0.380844 | − | 0.659641i | 0.610339 | − | 0.792140i | ||
−0.991183 | + | 0.132499i | ||||||||
−2.22175 | − | 2.60320i | −0.110811 | − | 0.129836i | |||||
12.0361 | − | 20.8472i | 0.599562 | − | 1.03847i | |||||
21.5647 | 1.07288 | |||||||||
−4.81732 | − | 22.8232i | −0.239375 | − | 1.13410i | |||||
0 | 0 | |||||||||
−3.47141 | + | 6.01266i | −0.172071 | + | 0.298036i | |||||
1.81393 | + | 2.12537i | 0.0898031 | + | 0.105222i | |||||
3.06335 | + | 5.30587i | 0.151473 | + | 0.262359i | 0.931769 | − | 0.363051i | ||
−0.780296 | + | 0.625410i | ||||||||
−3.16664 | − | 5.48477i | −0.156389 | − | 0.270874i | |||||
35.0669 | − | 6.48638i | 1.72972 | − | 0.319949i | |||||
7.75765 | − | 13.4366i | 0.382192 | − | 0.661976i | |||||
0 | 0 | |||||||||
0.577690 | − | 3.63068i | 0.0283919 | − | 0.178438i | |||||
−17.8695 | −0.877178 | |||||||||
−5.08430 | + | 8.80626i | −0.249278 | + | 0.431763i | |||||
9.12188 | − | 25.7303i | 0.446701 | − | 1.26002i | |||||
3.57780 | + | 6.19694i | 0.174996 | + | 0.303102i | |||||
−0.781437 | − | 1.35349i | −0.0381757 | − | 0.0661223i | 0.846306 | − | 0.532697i | ||
−0.884482 | + | 0.466574i | ||||||||
0 | 0 | |||||||||
−11.6316 | + | 20.1465i | −0.566889 | + | 0.981881i | 0.429982 | + | 0.902838i | ||
−0.996871 | + | 0.0790438i | ||||||||
4.03775 | 0.196555 | |||||||||
−21.7590 | − | 17.6457i | −1.05796 | − | 0.857964i | |||||
−10.0377 | −0.487476 | |||||||||
−1.46927 | + | 2.54485i | −0.0712702 | + | 0.123444i | |||||
2.54098 | − | 0.470008i | 0.123111 | − | 0.0227720i | |||||
0 | 0 | |||||||||
3.84338 | + | 6.65692i | 0.185777 | + | 0.321775i | |||||
−17.3187 | − | 20.2922i | −0.836157 | − | 0.979719i | |||||
−0.514457 | + | 0.891066i | −0.0248093 | + | 0.0429710i | |||||
1.00576 | 0.0484456 | 0.0242228 | − | 0.999707i | ||||||
0.0242228 | + | 0.999707i | ||||||||
0.477580 | + | 19.0129i | 0.0229776 | + | 0.914759i | |||||
13.1071 | 0.629889 | 0.314945 | − | 0.949110i | ||||||
0.314945 | + | 0.949110i | ||||||||
0 | 0 | |||||||||
−6.19205 | − | 7.25518i | −0.296886 | − | 0.347859i | |||||
7.05555 | + | 12.2206i | 0.337899 | + | 0.585259i | |||||
−18.3354 | − | 31.7579i | −0.877101 | − | 1.51918i | |||||
2.91423 | − | 0.539049i | 0.139247 | − | 0.0257568i | |||||
−9.30704 | + | 16.1203i | −0.444201 | + | 0.769378i | −0.997996 | − | 0.0632744i | ||
0.553795 | + | 0.832653i | ||||||||
10.2190 | 0.487170 | |||||||||
0 | 0 | |||||||||
1.50697 | 0.0716792 | |||||||||
0.559503 | − | 0.969088i | 0.0265828 | − | 0.0460427i | −0.852428 | − | 0.522845i | ||
0.879011 | + | 0.476802i | ||||||||
1.86673 | − | 5.26554i | 0.0885912 | − | 0.249891i | |||||
−6.52532 | − | 11.3022i | −0.309330 | − | 0.535775i | |||||
0.538197 | + | 0.932185i | 0.0254844 | + | 0.0441402i | |||||
−3.51162 | + | 9.90531i | −0.166094 | + | 0.468505i | |||||
0 | 0 | |||||||||
−39.4419 | −1.86138 | −0.930689 | − | 0.365813i | ||||||
−0.930689 | + | 0.365813i | ||||||||
1.15047 | − | 0.440688i | 0.0542339 | − | 0.0207742i | |||||
−42.7351 | −2.01232 | |||||||||
6.73104 | − | 11.6585i | 0.316602 | − | 0.548370i | |||||
7.64489 | − | 1.41409i | 0.359188 | − | 0.0664395i | |||||
0.725057 | + | 1.25584i | 0.0340286 | + | 0.0589393i | |||||
0 | 0 | |||||||||
−7.58577 | − | 8.88819i | −0.355236 | − | 0.416228i | |||||
17.1202 | − | 29.6531i | 0.800852 | − | 1.38712i | −0.118205 | − | 0.992989i | ||
0.919056 | − | 0.394126i | ||||||||
−2.64215 | −0.123459 | |||||||||
7.58577 | − | 4.63744i | 0.354073 | − | 0.216457i | |||||
−25.8051 | −1.20317 | |||||||||
−10.1938 | + | 17.6561i | −0.474772 | + | 0.822328i | −0.999583 | − | 0.0288903i | ||
0.524811 | + | 0.851219i | ||||||||
0 | 0 | |||||||||
−3.40451 | − | 5.89679i | −0.158221 | − | 0.274047i | 0.776006 | − | 0.630725i | ||
−0.934227 | + | 0.356678i | ||||||||
3.88852 | + | 6.73511i | 0.180520 | + | 0.312670i | |||||
28.8508 | − | 5.33656i | 1.33792 | − | 0.247477i | |||||
0.973045 | − | 1.68536i | 0.0450754 | − | 0.0780729i | |||||
24.7911 | 1.14720 | 0.573598 | − | 0.819137i | ||||||
0.573598 | + | 0.819137i | ||||||||
16.6733 | + | 13.5214i | 0.770721 | + | 0.625026i | |||||
0 | 0 | |||||||||
2.89372 | − | 5.01207i | 0.133477 | − | 0.231190i | |||||
−0.595485 | + | 1.67970i | −0.0274385 | + | 0.0773965i | |||||
2.85877 | + | 4.95153i | 0.131586 | + | 0.227913i | |||||
3.47141 | + | 6.01266i | 0.159616 | + | 0.276462i | |||||
1.36019 | − | 3.83672i | 0.0624755 | − | 0.176226i | |||||
6.14441 | − | 10.6424i | 0.281925 | − | 0.488309i | |||||
0 | 0 | |||||||||
−5.01887 | + | 31.5428i | −0.229798 | + | 1.44424i | |||||
5.06045 | 0.231460 | |||||||||
5.54984 | − | 9.61260i | 0.253579 | − | 0.439211i | −0.710930 | − | 0.703263i | ||
0.964508 | + | 0.264052i | ||||||||
−12.1871 | + | 2.25427i | −0.556265 | + | 0.102893i | |||||
−3.05733 | − | 5.29545i | −0.139402 | − | 0.241452i | |||||
−1.63697 | − | 2.83532i | −0.0745621 | − | 0.129145i | |||||
0 | 0 | |||||||||
6.30314 | − | 10.9174i | 0.286506 | − | 0.496244i | |||||
−7.93955 | −0.360516 | |||||||||
−3.69480 | − | 0.493113i | −0.167600 | − | 0.0223681i | |||||
−10.0377 | −0.454854 | −0.227427 | − | 0.973795i | ||||||
−0.227427 | + | 0.973795i | ||||||||
−3.76466 | + | 6.52059i | −0.170418 | + | 0.295173i | |||||
−7.67798 | − | 8.99623i | −0.347210 | − | 0.406824i | |||||
0 | 0 | |||||||||
6.19398 | + | 10.7283i | 0.279530 | + | 0.484161i | 0.971268 | − | 0.237988i | ||
−0.691738 | + | 0.722149i | ||||||||
33.8138 | − | 6.25459i | 1.52445 | − | 0.281979i | |||||
1.81781 | − | 3.14854i | 0.0818702 | − | 0.141803i | |||||
−6.30206 | −0.283543 | |||||||||
5.10948 | − | 32.1122i | 0.229654 | − | 1.44334i | |||||
−23.9225 | −1.07415 | |||||||||
0 | 0 | |||||||||
−0.954170 | + | 2.69145i | −0.0427574 | + | 0.120607i | |||||
−5.11109 | − | 8.85267i | −0.228804 | − | 0.396300i | 0.728650 | − | 0.684886i | ||
−0.957454 | + | 0.288586i | ||||||||
8.26464 | + | 14.3148i | 0.369606 | + | 0.640177i | |||||
−10.4142 | + | 29.3757i | −0.465273 | + | 1.31241i | |||||
−1.81781 | + | 3.14854i | −0.0811329 | + | 0.140526i | |||||
−8.45753 | −0.377102 | −0.188551 | − | 0.982063i | ||||||
−0.188551 | + | 0.982063i | ||||||||
0 | 0 | |||||||||
28.7680 | 1.28016 | |||||||||
2.56238 | − | 4.43818i | 0.113912 | − | 0.197301i | |||||
0.962729 | − | 0.178077i | 0.0427563 | − | 0.00790869i | |||||
8.85060 | + | 15.3297i | 0.392682 | + | 0.680145i | |||||
5.28286 | + | 9.15018i | 0.234159 | + | 0.405574i | 0.959028 | − | 0.283312i | ||
−0.724869 | + | 0.688886i | ||||||||
1.19238 | + | 1.39710i | 0.0527994 | + | 0.0618647i | |||||
0 | 0 | |||||||||
17.0071 | 0.751616 | |||||||||
−31.7233 | + | 19.3935i | −1.40062 | + | 0.856245i | |||||
6.12670 | 0.270237 | |||||||||
10.3490 | − | 17.9249i | 0.456030 | − | 0.789867i | |||||
−3.62672 | − | 4.24941i | −0.159658 | − | 0.187070i | |||||
−19.5260 | − | 33.8200i | −0.858752 | − | 1.48740i | |||||
0 | 0 | |||||||||
−1.41423 | + | 0.261592i | −0.0620778 | + | 0.0114826i | |||||
−4.50000 | + | 7.79423i | −0.197338 | + | 0.341800i | |||||
19.7558 | 0.865515 | 0.432758 | − | 0.901510i | ||||||
0.432758 | + | 0.901510i | ||||||||
−1.42339 | + | 0.545227i | −0.0623001 | + | 0.0238639i | |||||
−32.5282 | −1.42236 | −0.711179 | − | 0.703011i | ||||||
−0.711179 | + | 0.703011i | ||||||||
−4.17984 | + | 7.23970i | −0.182597 | + | 0.316268i | |||||
0 | 0 | |||||||||
−0.848970 | − | 1.47046i | −0.0370168 | − | 0.0641150i | |||||
5.59166 | + | 9.68504i | 0.243577 | + | 0.421887i | |||||
−8.85877 | + | 24.9882i | −0.385528 | + | 1.08747i | |||||
−1.63160 | + | 2.82601i | −0.0709391 | + | 0.122870i | |||||
−6.59825 | −0.286610 | |||||||||
16.9891 | − | 6.50767i | 0.737266 | − | 0.282409i | |||||
0 | 0 | |||||||||
18.8187 | − | 32.5950i | 0.815130 | − | 1.41185i | |||||
−2.05073 | + | 0.379327i | −0.0887440 | + | 0.0164151i | |||||
5.12720 | + | 8.88057i | 0.221668 | + | 0.383940i | |||||
3.89536 | + | 6.74695i | 0.168254 | + | 0.291424i | |||||
−8.52182 | − | 9.98495i | −0.367744 | − | 0.430883i | |||||
1.96457 | − | 3.40274i | 0.0846987 | − | 0.146702i | |||||
0 | 0 | |||||||||
0.657014 | + | 26.1563i | 0.0282734 | + | 1.12559i | |||||
15.2222 | 0.654453 | 0.327226 | − | 0.944946i | ||||||
0.327226 | + | 0.944946i | ||||||||
−1.51819 | + | 2.62959i | −0.0652119 | + | 0.112950i | |||||
−0.460060 | − | 0.539049i | −0.0197431 | − | 0.0231328i | |||||
−2.36203 | − | 4.09116i | −0.101271 | − | 0.175407i | |||||
9.41234 | + | 16.3027i | 0.403180 | + | 0.698329i | |||||
0 | 0 | |||||||||
−11.6871 | + | 20.2427i | −0.499706 | + | 0.865517i | −1.00000 | 0.000339172i | |||
0.500294 | + | 0.865856i | ||||||||
−40.0014 | −1.70877 | |||||||||
18.6081 | + | 15.0904i | 0.794173 | + | 0.644044i | |||||
1.71737 | 0.0732289 | |||||||||
−7.60199 | + | 13.1670i | −0.323856 | + | 0.560934i | |||||
−2.79637 | + | 7.88779i | −0.119021 | + | 0.335726i | |||||
0 | 0 | |||||||||
0.0990521 | + | 0.171563i | 0.00420832 | + | 0.00728902i | |||||
2.49028 | − | 7.02441i | 0.105707 | − | 0.298170i | |||||
−15.3107 | + | 26.5189i | −0.649319 | + | 1.12465i | |||||
27.6673 | 1.17230 | 0.586151 | − | 0.810202i | ||||||
0.586151 | + | 0.810202i | ||||||||
0.736755 | − | 4.63038i | 0.0311893 | − | 0.196019i | |||||
−6.11465 | −0.258622 | |||||||||
0 | 0 | |||||||||
12.1871 | − | 2.25427i | 0.514542 | − | 0.0951755i | |||||
−0.624075 | − | 1.08093i | −0.0263250 | − | 0.0455963i | |||||
4.27912 | + | 7.41166i | 0.180343 | + | 0.312364i | 0.941998 | − | 0.335620i | ||
−0.761654 | + | 0.647984i | ||||||||
20.3996 | + | 23.9021i | 0.858979 | + | 1.00646i | |||||
8.97944 | − | 15.5529i | 0.377768 | − | 0.654313i | |||||
−1.75855 | −0.0739175 | |||||||||
0 | 0 | |||||||||
−5.88237 | −0.246819 | |||||||||
−6.86389 | + | 11.8886i | −0.287749 | + | 0.498396i | −0.973272 | − | 0.229655i | ||
0.685523 | + | 0.728051i | ||||||||
−4.98646 | − | 5.84260i | −0.208860 | − | 0.244720i | |||||
−5.35868 | − | 9.28151i | −0.224254 | − | 0.388419i | 0.731841 | − | 0.681475i | ||
−0.956095 | + | 0.293056i | ||||||||
14.9622 | + | 25.9153i | 0.625600 | + | 1.08357i | |||||
27.2916 | − | 5.04816i | 1.14012 | − | 0.210890i | |||||
0 | 0 | |||||||||
−8.80111 | −0.367032 | |||||||||
3.13968 | − | 19.7323i | 0.130820 | − | 0.822181i | |||||
45.6353 | 1.89982 | 0.949912 | − | 0.312518i | ||||||
0.949912 | + | 0.312518i | ||||||||
1.68250 | − | 2.91417i | 0.0699827 | − | 0.121214i | |||||
7.16163 | − | 20.2010i | 0.297627 | − | 0.839525i | |||||
5.34950 | + | 9.26560i | 0.222126 | + | 0.384733i | |||||
0 | 0 | |||||||||
−0.423945 | + | 1.19583i | −0.0175731 | + | 0.0495689i | |||||
−22.2616 | + | 38.5582i | −0.921980 | + | 1.59692i | |||||
−6.74645 | −0.279170 | |||||||||
22.2427 | + | 18.0380i | 0.919622 | + | 0.745779i | |||||
1.87131 | 0.0773032 | |||||||||
−5.10948 | + | 8.84988i | −0.210891 | + | 0.365274i | −0.951994 | − | 0.306118i | ||
0.741103 | + | 0.671392i | ||||||||
0 | 0 | |||||||||
−23.3840 | − | 40.5023i | −0.963521 | − | 1.66887i | |||||
1.87919 | + | 3.25486i | 0.0773652 | + | 0.134000i | |||||
−25.9762 | − | 30.4361i | −1.06852 | − | 1.25197i | |||||
−3.03831 | + | 5.26250i | −0.124874 | + | 0.216287i | |||||
−11.3961 | −0.467981 | −0.233990 | − | 0.972239i | ||||||
−0.233990 | + | 0.972239i | ||||||||
−4.56382 | − | 2.48426i | −0.187256 | − | 0.101930i | |||||
0 | 0 | |||||||||
5.89411 | − | 10.2089i | 0.241432 | − | 0.418173i | |||||
7.58577 | + | 8.88819i | 0.310465 | + | 0.363769i | |||||
2.25673 | + | 3.90877i | 0.0922846 | + | 0.159842i | |||||
17.2873 | + | 29.9424i | 0.706339 | + | 1.22341i | 0.966206 | + | 0.257771i | ||
−0.259867 | + | 0.965644i | ||||||||
−2.75771 | + | 0.510097i | −0.112583 | + | 0.0208246i | |||||
−19.4207 | + | 33.6376i | −0.792187 | + | 1.37211i | 0.132423 | + | 0.991193i | ||
−0.924610 | + | 0.380915i | ||||||||
0 | 0 | |||||||||
23.1494 | − | 8.86734i | 0.942716 | − | 0.361106i | |||||
−8.72064 | −0.354838 | |||||||||
8.40861 | − | 14.5641i | 0.341858 | − | 0.592116i | |||||
1.53611 | − | 4.33296i | 0.0624004 | − | 0.176014i | |||||
−20.6662 | − | 35.7950i | −0.838817 | − | 1.45287i | −0.890885 | − | 0.454229i | ||
0.0520683 | − | 0.998644i | ||||||||
9.87788 | + | 17.1090i | 0.400601 | + | 0.693861i | |||||
0 | 0 | |||||||||
−2.47468 | + | 4.28627i | −0.100197 | + | 0.173546i | |||||
34.3937 | 1.39142 | |||||||||
−9.31306 | + | 3.56735i | −0.376458 | + | 0.144202i | |||||
−28.6569 | −1.15744 | −0.578721 | − | 0.815526i | ||||||
−0.578721 | + | 0.815526i | ||||||||
−2.71057 | + | 4.69485i | −0.109390 | + | 0.189469i | |||||
45.1088 | − | 8.34384i | 1.81896 | − | 0.336456i | |||||
0 | 0 | |||||||||
16.8518 | + | 29.1883i | 0.678430 | + | 1.17508i | 0.975454 | + | 0.220205i | ||
−0.297024 | + | 0.954870i | ||||||||
−2.14721 | − | 2.51586i | −0.0863733 | − | 0.101203i | |||||
0.719036 | − | 1.24541i | 0.0289005 | − | 0.0500571i | −0.851213 | − | 0.524820i | ||
0.880114 | + | 0.474763i | ||||||||
−32.9105 | −1.32172 | |||||||||
23.3885 | + | 12.7312i | 0.938548 | + | 0.510887i | |||||
−7.72789 | −0.309860 | |||||||||
0 | 0 | |||||||||
−15.1580 | − | 17.7605i | −0.606806 | − | 0.710990i | |||||
15.3187 | + | 26.5328i | 0.612750 | + | 1.06131i | |||||
2.90769 | + | 5.03626i | 0.116215 | + | 0.201290i | |||||
−50.9660 | + | 9.42724i | −2.03538 | + | 0.376488i | |||||
0.999498 | − | 1.73118i | 0.0398843 | − | 0.0690816i | |||||
2.84071 | 0.113266 | |||||||||
0 | 0 | |||||||||
−30.7680 | −1.22486 | −0.612428 | − | 0.790527i | ||||||
−0.612428 | + | 0.790527i | ||||||||
−4.63323 | + | 8.02500i | −0.184300 | + | 0.319217i | |||||
−9.77258 | + | 27.5658i | −0.388425 | + | 1.09564i | |||||
−0.614360 | − | 1.06410i | −0.0243993 | − | 0.0422609i | |||||
11.8070 | + | 20.4503i | 0.468547 | + | 0.811547i | |||||
11.9710 | − | 33.7670i | 0.474682 | − | 1.33895i | |||||
0 | 0 | |||||||||
−2.12476 | −0.0841202 | |||||||||
−2.94119 | + | 18.4848i | −0.116351 | + | 0.731249i | |||||
18.4389 | 0.728862 | |||||||||
−4.61956 | + | 8.00132i | −0.182462 | + | 0.316033i | −0.942718 | − | 0.333590i | ||
0.760257 | + | 0.649623i | ||||||||
1.61134 | − | 0.298052i | 0.0635946 | − | 0.0117632i | |||||
−12.7795 | − | 22.1348i | −0.503976 | − | 0.872912i | −0.999989 | − | 0.00459728i | ||
0.496013 | − | 0.868315i | ||||||||
0 | 0 | |||||||||
−4.83818 | − | 5.66886i | −0.190503 | − | 0.223211i | |||||
1.46389 | − | 2.53552i | 0.0575958 | − | 0.0997588i | |||||
−28.3111 | −1.11302 | −0.556512 | − | 0.830839i | ||||||
−0.556512 | + | 0.830839i | ||||||||
8.06634 | + | 2.63360i | 0.316876 | + | 0.103458i | |||||
25.3605 | 0.995488 | |||||||||
−0.756258 | + | 1.30988i | −0.0296629 | + | 0.0513776i | |||||
0 | 0 | |||||||||
6.63323 | + | 11.4891i | 0.259778 | + | 0.449948i | |||||
4.17511 | + | 7.23150i | 0.163385 | + | 0.282990i | 0.936080 | − | 0.351786i | ||
−0.772696 | + | 0.634776i | ||||||||
2.95805 | − | 0.547154i | 0.115669 | − | 0.0213954i | |||||
−5.57605 | + | 9.65801i | −0.217874 | + | 0.377370i | |||||
−37.4033 | −1.46035 | |||||||||
−3.37323 | + | 21.2001i | −0.131602 | + | 0.827096i | |||||
0 | 0 | |||||||||
16.7862 | − | 29.0745i | 0.653897 | − | 1.13258i | −0.328272 | − | 0.944583i | ||
0.982169 | − | 0.188000i | ||||||||
−12.1871 | + | 34.3766i | −0.474384 | + | 1.33811i | |||||
−8.47668 | − | 14.6820i | −0.329705 | − | 0.571065i | 0.652748 | − | 0.757575i | ||
−0.982453 | + | 0.186509i | ||||||||
1.39862 | + | 2.42249i | 0.0543591 | + | 0.0941527i | |||||
−3.64732 | + | 10.2881i | −0.141650 | + | 0.399557i | |||||
3.25021 | − | 5.62952i | 0.126133 | − | 0.218468i | |||||
0 | 0 | |||||||||
−0.925025 | − | 0.750160i | −0.0358440 | − | 0.0290681i | |||||
10.8889 | 0.421620 | |||||||||
17.4799 | − | 30.2760i | 0.676316 | − | 1.17141i | |||||
−7.66664 | + | 1.41811i | −0.296409 | + | 0.0548272i | |||||
2.56059 | + | 4.43507i | 0.0989242 | + | 0.171342i | |||||
16.6984 | + | 28.9225i | 0.644636 | + | 1.11654i | |||||
0 | 0 | |||||||||
22.2157 | − | 38.4788i | 0.856354 | − | 1.48325i | −0.0190299 | − | 0.999819i | ||
0.875384 | − | 0.483429i | ||||||||
−8.05718 | −0.310351 | |||||||||
0.224082 | + | 8.92090i | 0.00862490 | + | 0.343366i | |||||
−1.09820 | −0.0422384 | |||||||||
−7.18681 | + | 12.4479i | −0.276212 | + | 0.478412i | −0.970440 | − | 0.241342i | ||
0.694229 | + | 0.719755i | ||||||||
−1.86306 | − | 2.18293i | −0.0715502 | − | 0.0838349i | |||||
0 | 0 | |||||||||
−2.09058 | − | 3.62099i | −0.0801701 | − | 0.138859i | |||||
−10.3285 | + | 1.91047i | −0.395787 | + | 0.0732093i | |||||
3.26793 | − | 5.66021i | 0.125135 | − | 0.216741i | |||||
−32.3092 | −1.23628 | −0.618138 | − | 0.786069i | ||||||
−0.618138 | + | 0.786069i | ||||||||
38.9467 | − | 14.9185i | 1.48916 | − | 0.570422i | |||||
−53.3632 | −2.03890 | |||||||||
0 | 0 | |||||||||
6.39480 | − | 18.0380i | 0.243977 | − | 0.688192i | |||||
3.03831 | + | 5.26250i | 0.115834 | + | 0.200631i | |||||
−19.6061 | − | 33.9588i | −0.746934 | − | 1.29373i | |||||
−1.83818 | + | 5.18499i | −0.0699781 | + | 0.197389i | |||||
−14.4981 | + | 25.1114i | −0.551533 | + | 0.955283i | 0.446631 | + | 0.894718i | ||
−0.998164 | + | 0.0605650i | ||||||||
1.61323 | 0.0613259 | |||||||||
0 | 0 | |||||||||
6.53078 | 0.247905 | |||||||||
−20.4250 | + | 35.3772i | −0.774765 | + | 1.34193i | |||||
3.41189 | − | 0.631101i | 0.129327 | − | 0.0239218i | |||||
8.74269 | + | 15.1428i | 0.331153 | + | 0.573574i | |||||
−2.73999 | − | 4.74580i | −0.103710 | − | 0.179631i | |||||
9.15093 | + | 10.7221i | 0.346120 | + | 0.405546i | |||||
0 | 0 | |||||||||
−26.3912 | −0.996783 | −0.498392 | − | 0.866952i | ||||||
−0.498392 | + | 0.866952i | ||||||||
3.90451 | − | 2.38697i | 0.147366 | − | 0.0900902i | |||||
−11.8797 | −0.448050 | |||||||||
13.9263 | − | 24.1210i | 0.524866 | − | 0.909095i | |||||
27.2138 | + | 31.8862i | 1.02493 | + | 1.20090i | |||||
−1.22782 | − | 2.12664i | −0.0462095 | − | 0.0800372i | |||||
0 | 0 | |||||||||
−20.0663 | + | 3.71170i | −0.754139 | + | 0.139494i | |||||
3.94282 | − | 6.82916i | 0.148076 | − | 0.256475i | −0.782441 | − | 0.622725i | ||
0.930516 | + | 0.366251i | ||||||||
−3.86674 | −0.145116 | |||||||||
22.9012 | + | 18.5720i | 0.858864 | + | 0.696506i | |||||
4.74746 | 0.177918 | |||||||||
−16.7473 | + | 29.0073i | −0.627193 | + | 1.08633i | |||||
0 | 0 | |||||||||
19.9601 | + | 34.5718i | 0.746464 | + | 1.29291i | |||||
7.36225 | + | 12.7518i | 0.275140 | + | 0.476557i | |||||
−12.2478 | + | 34.5477i | −0.457403 | + | 1.29021i | |||||
−1.20765 | + | 2.09172i | −0.0450693 | + | 0.0780623i | |||||
33.1508 | 1.23632 | 0.618159 | − | 0.786053i | ||||||
0.618159 | + | 0.786053i | ||||||||
4.47200 | − | 28.1058i | 0.166662 | − | 1.04744i | |||||
0 | 0 | |||||||||
−3.85021 | + | 6.66877i | −0.143290 | + | 0.248186i | |||||
23.3187 | − | 4.31330i | 0.867233 | − | 0.160413i | |||||
0.397460 | + | 0.688420i | 0.0147715 | + | 0.0255849i | |||||
1.82450 | + | 3.16013i | 0.0677603 | + | 0.117364i | |||||
−1.74462 | − | 2.04416i | −0.0647489 | − | 0.0758658i | |||||
16.5502 | − | 28.6658i | 0.613814 | − | 1.06316i | −0.376777 | − | 0.926304i | ||
0.990591 | − | 0.136853i | ||||||||
0 | 0 | |||||||||
12.3090 | − | 24.0310i | 0.455890 | − | 0.890036i | |||||
−4.43474 | −0.164137 | |||||||||
1.42035 | − | 2.46012i | 0.0525337 | − | 0.0909910i | |||||
−17.4455 | − | 20.4408i | −0.644805 | − | 0.755514i | |||||
−22.2795 | − | 38.5892i | −0.822911 | − | 1.42532i | −0.903505 | − | 0.428577i | ||
0.0805946 | − | 0.996747i | ||||||||
0.929636 | + | 1.61018i | 0.0343135 | + | 0.0594327i | |||||
0 | 0 | |||||||||
7.07442 | − | 12.2533i | 0.260767 | − | 0.451661i | |||||
34.5562 | 1.27290 | |||||||||
1.15193 | − | 7.23970i | 0.0424032 | − | 0.266497i | |||||
39.8090 | 1.46440 | 0.732199 | − | 0.681090i | ||||||
0.732199 | + | 0.681090i | ||||||||
−4.17984 | + | 7.23970i | −0.153654 | + | 0.266137i | |||||
15.2529 | − | 43.0242i | 0.560329 | − | 1.58053i | |||||
0 | 0 | |||||||||
−5.37072 | − | 9.30237i | −0.197033 | − | 0.341271i | 0.750532 | − | 0.660834i | ||
−0.947565 | + | 0.319563i | ||||||||
−3.56634 | + | 10.0597i | −0.130748 | + | 0.368805i | |||||
7.86295 | − | 13.6190i | 0.288076 | − | 0.498962i | |||||
5.76552 | 0.211091 | |||||||||
−16.0652 | − | 13.0283i | −0.587795 | − | 0.476679i | |||||
−13.9021 | −0.508310 | |||||||||
0 | 0 | |||||||||
3.46496 | − | 0.640919i | 0.126523 | − | 0.0234031i | |||||
−9.85705 | − | 17.0729i | −0.359689 | − | 0.622999i | 0.628220 | − | 0.778036i | ||
−0.987909 | + | 0.155036i | ||||||||
−17.0899 | − | 29.6005i | −0.623203 | − | 1.07942i | |||||
−17.0955 | − | 20.0307i | −0.622994 | − | 0.729958i | |||||
0.935657 | − | 1.62060i | 0.0340746 | − | 0.0590189i | |||||
−11.6336 | −0.423391 | |||||||||
0 | 0 | |||||||||
35.3549 | 1.28499 | 0.642497 | − | 0.766288i | ||||||
0.642497 | + | 0.766288i | ||||||||
1.59712 | − | 2.76629i | 0.0580100 | − | 0.100476i | |||||
24.0977 | + | 28.2351i | 0.874692 | + | 1.02487i | |||||
8.74269 | + | 15.1428i | 0.317131 | + | 0.549286i | |||||
−19.5572 | − | 33.8741i | −0.708948 | − | 1.22793i | −0.965248 | − | 0.261336i | ||
0.256300 | − | 0.966597i | ||||||||
3.71063 | − | 0.686360i | 0.134422 | − | 0.0248642i | |||||
0 | 0 | |||||||||
−31.1319 | −1.12631 | |||||||||
−12.4239 | + | 4.75897i | −0.449189 | + | 0.172061i | |||||
−2.20960 | −0.0798359 | |||||||||
−11.1677 | + | 19.3430i | −0.403243 | + | 0.698437i | |||||
−6.72460 | + | 18.9683i | −0.242653 | + | 0.684458i | |||||
−18.9240 | − | 32.7773i | −0.682415 | − | 1.18198i | −0.974242 | − | 0.225507i | ||
0.291826 | − | 0.956471i | ||||||||
0 | 0 | |||||||||
−14.8285 | + | 41.8270i | −0.534034 | + | 1.50636i | |||||
−12.0205 | + | 20.8201i | −0.432628 | + | 0.749333i | |||||
−29.8265 | −1.07279 | −0.536393 | − | 0.843969i | ||||||
−0.536393 | + | 0.843969i | ||||||||
−1.11217 | + | 0.426015i | −0.0399761 | + | 0.0153128i | |||||
−11.2245 | −0.403195 | |||||||||
1.44409 | − | 2.50124i | 0.0518399 | − | 0.0897894i | |||||
0 | 0 | |||||||||
−1.24923 | − | 2.16373i | −0.0447870 | − | 0.0775734i | |||||
−36.5614 | − | 63.3263i | −1.30995 | − | 2.26890i | |||||
−20.8531 | − | 24.4334i | −0.746661 | − | 0.874857i | |||||
−13.0458 | + | 22.5960i | −0.466817 | + | 0.808550i | |||||
−2.09683 | −0.0749827 | |||||||||
−0.277238 | − | 11.0371i | −0.00990768 | − | 0.394434i | |||||
0 | 0 | |||||||||
1.33336 | − | 2.30946i | 0.0475898 | − | 0.0824280i | |||||
1.15692 | + | 1.35556i | 0.0412660 | + | 0.0483511i | |||||
8.81030 | + | 15.2599i | 0.314053 | + | 0.543956i | 0.979236 | − | 0.202724i | ||
−0.665182 | + | 0.746681i | ||||||||
22.4416 | + | 38.8700i | 0.799448 | + | 1.38468i | |||||
12.0936 | − | 2.23697i | 0.430544 | − | 0.0796382i | |||||
−3.04563 | + | 5.27518i | −0.108359 | + | 0.187683i | |||||
0 | 0 | |||||||||
9.18715 | + | 7.45043i | 0.326451 | + | 0.264739i | |||||
−29.4132 | −1.04449 | |||||||||
0.0489195 | − | 0.0847311i | 0.00173609 | − | 0.00300699i | |||||
15.9698 | − | 45.0464i | 0.566390 | − | 1.59763i | |||||
−6.55357 | − | 11.3511i | −0.232285 | − | 0.402330i | |||||
5.06056 | + | 8.76515i | 0.179254 | + | 0.310477i | 0.941625 | − | 0.336663i | ||
−0.762371 | + | 0.647140i | ||||||||
0 | 0 | |||||||||
−7.98921 | + | 13.8377i | −0.282638 | + | 0.489543i | |||||
4.74145 | 0.167635 | |||||||||
2.37373 | − | 14.9185i | 0.0838716 | − | 0.527118i | |||||
3.64730 | 0.128791 | |||||||||
−14.9622 | + | 25.9153i | −0.528004 | + | 0.914529i | |||||
−27.3424 | + | 5.05756i | −0.964291 | + | 0.178366i | |||||
0 | 0 | |||||||||
2.87812 | + | 4.98504i | 0.101377 | + | 0.175591i | |||||
18.4757 | + | 21.6478i | 0.650374 | + | 0.762039i | |||||
−5.23250 | + | 9.06295i | −0.184079 | + | 0.318834i | |||||
−47.1469 | −1.65760 | −0.828799 | − | 0.559546i | ||||||
−0.828799 | + | 0.559546i | ||||||||
5.30236 | + | 1.73118i | 0.186306 | + | 0.0608275i | |||||
−21.0577 | −0.739435 | −0.369717 | − | 0.929144i | ||||||
−0.369717 | + | 0.929144i | ||||||||
0 | 0 | |||||||||
−14.2777 | − | 16.7291i | −0.500742 | − | 0.586715i | |||||
−0.830095 | − | 1.43777i | −0.0290948 | − | 0.0503937i | |||||
8.84896 | + | 15.3269i | 0.309966 | + | 0.536876i | |||||
10.6666 | − | 1.97302i | 0.373407 | − | 0.0690696i | |||||
−5.93984 | + | 10.2881i | −0.207809 | + | 0.359935i | |||||
−1.46504 | −0.0512238 | |||||||||
0 | 0 | |||||||||
−51.4563 | −1.79693 | |||||||||
−5.58018 | + | 9.66515i | −0.194750 | + | 0.337316i | −0.946818 | − | 0.321768i | ||
0.752069 | + | 0.659085i | ||||||||
−2.84942 | + | 8.03742i | −0.0993848 | + | 0.280337i | |||||
−4.71737 | − | 8.17072i | −0.164437 | − | 0.284814i | 0.772018 | − | 0.635601i | ||
−0.936455 | + | 0.350787i | ||||||||
3.76466 | + | 6.52059i | 0.131148 | + | 0.227156i | |||||
−4.15656 | + | 11.7245i | −0.144713 | + | 0.408195i | |||||
0 | 0 | |||||||||
17.2646 | 0.600348 | 0.300174 | − | 0.953884i | ||||||
0.300174 | + | 0.953884i | ||||||||
−23.1996 | − | 18.8140i | −0.806241 | − | 0.653831i | |||||
48.4526 | 1.68283 | 0.841415 | − | 0.540390i | ||||||
0.841415 | + | 0.540390i | ||||||||
2.13650 | − | 3.70053i | 0.0741591 | − | 0.128447i | |||||
−1.41100 | + | 0.260995i | −0.0489470 | + | 0.00905380i | |||||
12.2651 | + | 21.2438i | 0.425215 | + | 0.736495i | |||||
0 | 0 | |||||||||
4.23779 | + | 4.96538i | 0.146743 | + | 0.171937i | |||||
23.3187 | − | 40.3893i | 0.806978 | − | 1.39773i | |||||
58.1376 | 2.01073 | |||||||||
29.8285 | + | 16.2367i | 1.03102 | + | 0.561224i | |||||
0.373720 | 0.0129099 | |||||||||
−7.43429 | + | 12.8766i | −0.256660 | + | 0.444548i | −0.965345 | − | 0.260977i | ||
0.708685 | + | 0.705525i | ||||||||
0 | 0 | |||||||||
12.2427 | + | 21.2050i | 0.422162 | + | 0.731206i | |||||
−2.78139 | − | 4.81750i | −0.0958529 | − | 0.166022i | |||||
8.88997 | − | 1.64439i | 0.306187 | − | 0.0566358i | |||||
16.4029 | − | 28.4106i | 0.564610 | − | 0.977934i | |||||
−1.46504 | −0.0503988 | |||||||||
6.25574 | − | 2.39625i | 0.215077 | − | 0.0823848i | |||||
0 | 0 | |||||||||
−19.4841 | + | 33.7475i | −0.669088 | + | 1.15889i | |||||
4.25623 | − | 12.0057i | 0.146073 | − | 0.412033i | |||||
−0.351337 | − | 0.608534i | −0.0120508 | − | 0.0208725i | |||||
4.25404 | + | 7.36821i | 0.145827 | + | 0.252579i | |||||
7.01532 | − | 19.7883i | 0.240341 | − | 0.677936i | |||||
3.99900 | − | 6.92648i | 0.136923 | − | 0.237158i | −0.789407 | − | 0.613870i | ||
0.926331 | + | 0.376712i | ||||||||
0 | 0 | |||||||||
51.9562 | − | 19.9018i | 1.77687 | − | 0.680626i | |||||
−3.73026 | −0.127498 | |||||||||
−21.5661 | + | 37.3536i | −0.736684 | + | 1.27597i | 0.217296 | + | 0.976106i | ||
−0.953980 | + | 0.299869i | ||||||||
6.27292 | − | 1.16031i | 0.214154 | − | 0.0396123i | |||||
−1.22180 | − | 2.11621i | −0.0416871 | − | 0.0722042i | 0.844429 | − | 0.535667i | ||
−0.886116 | + | 0.463463i | ||||||||
4.17984 | + | 7.23970i | 0.142531 | + | 0.246872i | |||||
0 | 0 | |||||||||
−0.120250 | + | 0.208279i | −0.00409573 | + | 0.00709401i | |||||
25.7187 | 0.875476 | 0.437738 | − | 0.899103i | ||||||
0.437738 | + | 0.899103i | ||||||||
−12.6001 | − | 6.85873i | −0.428666 | − | 0.233339i | |||||
2.15211 | 0.0731739 | |||||||||
−1.56711 | + | 2.71432i | −0.0532526 | + | 0.0922362i | |||||
15.8229 | + | 18.5396i | 0.537375 | + | 0.629639i | |||||
0 | 0 | |||||||||
20.5510 | + | 35.5954i | 0.697146 | + | 1.20749i | |||||
2.24278 | − | 0.414851i | 0.0760375 | − | 0.0140648i | |||||
−15.2171 | + | 26.3568i | −0.515612 | + | 0.893067i | |||||
−6.84789 | −0.231899 | |||||||||
−7.13789 | − | 5.78856i | −0.241581 | − | 0.195913i | |||||
8.76884 | 0.296611 | |||||||||
0 | 0 | |||||||||
8.04583 | − | 22.6951i | 0.271843 | − | 0.766796i | |||||
10.9795 | + | 19.0170i | 0.370751 | + | 0.642160i | 0.989681 | − | 0.143286i | ||
−0.618930 | + | 0.785446i | ||||||||
−2.22553 | − | 3.85473i | −0.0751080 | − | 0.130091i | |||||
−4.52915 | + | 12.7755i | −0.152764 | + | 0.430906i | |||||
19.8359 | − | 34.3567i | 0.668667 | − | 1.15817i | |||||
35.0576 | 1.18112 | 0.590560 | − | 0.806994i | ||||||
0.590560 | + | 0.806994i | ||||||||
0 | 0 | |||||||||
26.3009 | 0.885097 | 0.442549 | − | 0.896744i | ||||||
0.442549 | + | 0.896744i | ||||||||
6.12188 | − | 10.6034i | 0.205901 | − | 0.356631i | |||||
−26.7692 | + | 4.95153i | −0.899836 | + | 0.166444i | |||||
0.133790 | + | 0.231731i | 0.00449477 | + | 0.00778517i | |||||
23.9090 | + | 41.4116i | 0.802785 | + | 1.39046i | 0.917776 | + | 0.397098i | ||
−0.114991 | + | 0.993366i | ||||||||
1.75999 | + | 2.06217i | 0.0590615 | + | 0.0692019i | |||||
0 | 0 | |||||||||
3.12071 | 0.104607 | |||||||||
28.0059 | − | 25.1446i | 0.938233 | − | 0.842376i | |||||
8.74545 | 0.292819 | |||||||||
33.4104 | − | 57.8685i | 1.11804 | − | 1.93650i | |||||
−1.63141 | − | 1.91151i | −0.0545623 | − | 0.0639303i | |||||
9.82150 | + | 17.0113i | 0.328296 | + | 0.568626i | |||||
0 | 0 | |||||||||
−32.1472 | + | 5.94631i | −1.07336 | + | 0.198542i | |||||
4.71574 | − | 8.16789i | 0.157366 | − | 0.272566i | |||||
13.8871 | 0.463162 | |||||||||
1.57288 | − | 9.88527i | 0.0524293 | − | 0.329509i | |||||
18.2170 | 0.606895 | |||||||||
5.10948 | − | 8.84988i | 0.170127 | − | 0.294669i | |||||
0 | 0 | |||||||||
3.26647 | + | 5.65769i | 0.108641 | + | 0.188172i | |||||
0.530225 | + | 0.918376i | 0.0176253 | + | 0.0305279i | |||||
−0.621197 | + | 1.75223i | −0.0206379 | + | 0.0582138i | |||||
9.55718 | − | 16.5535i | 0.317341 | − | 0.549651i | −0.662591 | − | 0.748981i | ||
0.979932 | + | 0.199330i | ||||||||
11.7818 | 0.390994 | |||||||||
25.8633 | + | 20.9741i | 0.857831 | + | 0.695669i | |||||
0 | 0 | |||||||||
9.02928 | − | 15.6392i | 0.299153 | − | 0.518149i | −0.676789 | − | 0.736177i | ||
0.975942 | + | 0.218028i | ||||||||
−44.6073 | + | 8.25107i | −1.47709 | + | 0.273220i | |||||
−14.4165 | − | 24.9701i | −0.477117 | − | 0.826391i | |||||
4.09385 | + | 7.09076i | 0.135413 | + | 0.234541i | |||||
−23.2729 | − | 27.2687i | −0.769380 | − | 0.901477i | |||||
−10.7334 | + | 18.5908i | −0.354642 | + | 0.614258i | |||||
0 | 0 | |||||||||
0.0533866 | + | 2.12537i | 0.00176202 | + | 0.0701478i | |||||
16.2093 | 0.534695 | 0.267348 | − | 0.963600i | ||||||
0.267348 | + | 0.963600i | ||||||||
6.26141 | − | 10.8451i | 0.206433 | − | 0.357552i | |||||
−25.4914 | − | 29.8680i | −0.839969 | − | 0.984186i | |||||
−2.43757 | − | 4.22199i | −0.0802771 | − | 0.139044i | |||||
−11.4897 | − | 19.9007i | −0.378187 | − | 0.655039i | |||||
0 | 0 | |||||||||
−1.42558 | + | 2.46918i | −0.0468728 | + | 0.0811860i | |||||
1.62820 | 0.0535059 | |||||||||
22.3727 | − | 8.56984i | 0.734817 | − | 0.281470i | |||||
−5.86621 | −0.192568 | |||||||||
11.3415 | − | 19.6440i | 0.372102 | − | 0.644499i | −0.617787 | − | 0.786345i | ||
0.989889 | + | 0.141846i | ||||||||
−2.34431 | + | 6.61266i | −0.0768730 | + | 0.216838i | |||||
0 | 0 | |||||||||
−7.90576 | − | 13.6932i | −0.258962 | − | 0.448535i | |||||
18.7038 | − | 52.7584i | 0.612336 | − | 1.72723i | |||||
−2.96407 | + | 5.13392i | −0.0969873 | + | 0.167987i | |||||
−18.5458 | −0.606513 | |||||||||
−9.72824 | + | 3.72639i | −0.317977 | + | 0.121801i | |||||
51.2933 | 1.67568 | 0.837840 | − | 0.545915i | ||||||
0.837840 | + | 0.545915i | ||||||||
0 | 0 | |||||||||
−41.4201 | + | 7.66154i | −1.35169 | + | 0.250025i | |||||
−23.5108 | − | 40.7219i | −0.766838 | − | 1.32820i | |||||
15.9659 | + | 27.6538i | 0.520474 | + | 0.901487i | 0.999717 | + | 0.0238048i | ||
−0.479243 | + | 0.877682i | ||||||||
−0.276647 | − | 0.324145i | −0.00901363 | − | 0.0105612i | |||||
−26.1849 | + | 45.3535i | −0.852697 | + | 1.47691i | |||||
22.1965 | 0.722433 | |||||||||
0 | 0 | |||||||||
−1.66019 | −0.0539774 | |||||||||
2.24665 | − | 3.89131i | 0.0730063 | − | 0.126451i | −0.827211 | − | 0.561891i | ||
0.900218 | + | 0.435440i | ||||||||
−21.4705 | − | 25.1568i | −0.697330 | − | 0.817056i | |||||
−13.1774 | − | 22.8240i | −0.427757 | − | 0.740898i | |||||
1.46927 | + | 2.54485i | 0.0476695 | + | 0.0825660i | |||||
8.75158 | − | 1.61879i | 0.283789 | − | 0.0524929i | |||||
0 | 0 | |||||||||
1.14635 | 0.0371340 | 0.0185670 | − | 0.999828i | ||||||
0.0185670 | + | 0.999828i | ||||||||
−5.93203 | − | 4.81065i | −0.192056 | − | 0.155750i | |||||
−41.5310 | −1.34391 | |||||||||
20.5575 | − | 35.6066i | 0.664876 | − | 1.15160i | |||||
5.14257 | − | 14.5058i | 0.166236 | − | 0.468905i | |||||
1.32710 | + | 2.29860i | 0.0428765 | + | 0.0742643i | |||||
0 | 0 | |||||||||
−9.99028 | + | 28.1799i | −0.322435 | + | 0.909501i | |||||
−5.85868 | + | 10.1475i | −0.188990 | + | 0.327340i | |||||
1.46216 | 0.0471418 | |||||||||
−1.86513 | + | 11.7220i | −0.0601030 | + | 0.377737i | |||||
−26.6000 | −0.856730 | |||||||||
−16.0358 | + | 27.7748i | −0.516210 | + | 0.894102i | |||||
0 | 0 | |||||||||
−24.8080 | − | 42.9686i | −0.797770 | − | 1.38178i | −0.921065 | − | 0.389408i | ||
0.123295 | − | 0.992370i | ||||||||
3.05881 | + | 5.29802i | 0.0983140 | + | 0.170285i | |||||
13.7670 | + | 16.1307i | 0.442260 | + | 0.518193i | |||||
0.949266 | − | 1.64418i | 0.0304791 | − | 0.0527913i | |||||
−5.13322 | −0.164733 | −0.0823664 | − | 0.996602i | ||||||
−0.0823664 | + | 0.996602i | ||||||||
−18.4794 | + | 23.9943i | −0.592726 | + | 0.769619i | |||||
0 | 0 | |||||||||
1.20013 | − | 2.07869i | 0.0384546 | − | 0.0666054i | |||||
−7.11217 | − | 8.33328i | −0.227772 | − | 0.266878i | |||||
14.6151 | + | 25.3141i | 0.467817 | + | 0.810283i | |||||
−15.5974 | − | 27.0155i | −0.499006 | − | 0.864303i | 0.500994 | − | 0.865451i | ||
−0.999999 | + | 0.00114787i | ||||||||
2.78099 | − | 0.514404i | 0.0889264 | − | 0.0164488i | |||||
10.5288 | − | 18.2365i | 0.336503 | − | 0.582840i | |||||
0 | 0 | |||||||||
−3.42395 | + | 21.5189i | −0.109318 | + | 0.687046i | |||||
−2.96225 | −0.0945292 | |||||||||
−10.1700 | + | 17.6150i | −0.324374 | + | 0.561832i | −0.981385 | − | 0.192049i | ||
0.657012 | + | 0.753880i | ||||||||
−5.57605 | + | 15.7285i | −0.177758 | + | 0.501407i | |||||
29.9378 | + | 51.8539i | 0.953899 | + | 1.65220i | |||||
0.434681 | + | 0.752890i | 0.0138431 | + | 0.0239769i | |||||
0 | 0 | |||||||||
−25.6014 | + | 44.3429i | −0.814488 | + | 1.41074i | |||||
8.50808 | 0.270541 | |||||||||
6.03911 | + | 4.89749i | 0.191936 | + | 0.155653i | |||||
−12.9655 | −0.411863 | −0.205932 | − | 0.978566i | ||||||
−0.205932 | + | 0.978566i | ||||||||
9.02234 | − | 15.6272i | 0.286460 | − | 0.496163i | |||||
−19.9235 | + | 3.68527i | −0.632252 | + | 0.116948i | |||||
0 | 0 | |||||||||
−8.74269 | − | 15.1428i | −0.277162 | − | 0.480059i | |||||
15.0615 | + | 17.6475i | 0.477243 | + | 0.559182i | |||||
24.7408 | − | 42.8523i | 0.783548 | − | 1.35715i | −0.146314 | − | 0.989238i | ||
0.929863 | − | 0.367907i | ||||||||
2.44436 | 0.0773749 | |||||||||
7.36019 | − | 4.49954i | 0.232866 | − | 0.142359i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.f.g.295.3 | yes | 12 | |
3.2 | odd | 2 | 1323.2.f.g.883.3 | 12 | |||
7.2 | even | 3 | 441.2.h.g.214.4 | 12 | |||
7.3 | odd | 6 | 441.2.g.g.79.4 | 12 | |||
7.4 | even | 3 | 441.2.g.g.79.3 | 12 | |||
7.5 | odd | 6 | 441.2.h.g.214.3 | 12 | |||
7.6 | odd | 2 | inner | 441.2.f.g.295.4 | yes | 12 | |
9.2 | odd | 6 | 3969.2.a.bd.1.4 | 6 | |||
9.4 | even | 3 | inner | 441.2.f.g.148.3 | ✓ | 12 | |
9.5 | odd | 6 | 1323.2.f.g.442.3 | 12 | |||
9.7 | even | 3 | 3969.2.a.be.1.3 | 6 | |||
21.2 | odd | 6 | 1323.2.h.g.802.3 | 12 | |||
21.5 | even | 6 | 1323.2.h.g.802.4 | 12 | |||
21.11 | odd | 6 | 1323.2.g.g.667.4 | 12 | |||
21.17 | even | 6 | 1323.2.g.g.667.3 | 12 | |||
21.20 | even | 2 | 1323.2.f.g.883.4 | 12 | |||
63.4 | even | 3 | 441.2.h.g.373.4 | 12 | |||
63.5 | even | 6 | 1323.2.g.g.361.3 | 12 | |||
63.13 | odd | 6 | inner | 441.2.f.g.148.4 | yes | 12 | |
63.20 | even | 6 | 3969.2.a.bd.1.3 | 6 | |||
63.23 | odd | 6 | 1323.2.g.g.361.4 | 12 | |||
63.31 | odd | 6 | 441.2.h.g.373.3 | 12 | |||
63.32 | odd | 6 | 1323.2.h.g.226.3 | 12 | |||
63.34 | odd | 6 | 3969.2.a.be.1.4 | 6 | |||
63.40 | odd | 6 | 441.2.g.g.67.4 | 12 | |||
63.41 | even | 6 | 1323.2.f.g.442.4 | 12 | |||
63.58 | even | 3 | 441.2.g.g.67.3 | 12 | |||
63.59 | even | 6 | 1323.2.h.g.226.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.f.g.148.3 | ✓ | 12 | 9.4 | even | 3 | inner | |
441.2.f.g.148.4 | yes | 12 | 63.13 | odd | 6 | inner | |
441.2.f.g.295.3 | yes | 12 | 1.1 | even | 1 | trivial | |
441.2.f.g.295.4 | yes | 12 | 7.6 | odd | 2 | inner | |
441.2.g.g.67.3 | 12 | 63.58 | even | 3 | |||
441.2.g.g.67.4 | 12 | 63.40 | odd | 6 | |||
441.2.g.g.79.3 | 12 | 7.4 | even | 3 | |||
441.2.g.g.79.4 | 12 | 7.3 | odd | 6 | |||
441.2.h.g.214.3 | 12 | 7.5 | odd | 6 | |||
441.2.h.g.214.4 | 12 | 7.2 | even | 3 | |||
441.2.h.g.373.3 | 12 | 63.31 | odd | 6 | |||
441.2.h.g.373.4 | 12 | 63.4 | even | 3 | |||
1323.2.f.g.442.3 | 12 | 9.5 | odd | 6 | |||
1323.2.f.g.442.4 | 12 | 63.41 | even | 6 | |||
1323.2.f.g.883.3 | 12 | 3.2 | odd | 2 | |||
1323.2.f.g.883.4 | 12 | 21.20 | even | 2 | |||
1323.2.g.g.361.3 | 12 | 63.5 | even | 6 | |||
1323.2.g.g.361.4 | 12 | 63.23 | odd | 6 | |||
1323.2.g.g.667.3 | 12 | 21.17 | even | 6 | |||
1323.2.g.g.667.4 | 12 | 21.11 | odd | 6 | |||
1323.2.h.g.226.3 | 12 | 63.32 | odd | 6 | |||
1323.2.h.g.226.4 | 12 | 63.59 | even | 6 | |||
1323.2.h.g.802.3 | 12 | 21.2 | odd | 6 | |||
1323.2.h.g.802.4 | 12 | 21.5 | even | 6 | |||
3969.2.a.bd.1.3 | 6 | 63.20 | even | 6 | |||
3969.2.a.bd.1.4 | 6 | 9.2 | odd | 6 | |||
3969.2.a.be.1.3 | 6 | 9.7 | even | 3 | |||
3969.2.a.be.1.4 | 6 | 63.34 | odd | 6 |