Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,2,Mod(4,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 57.i (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: | |
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 | 4.1 | ||
Root | of defining polynomial | ||
Character | 57.4 | ||
Dual form | 57.2.i.a.43.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.43969 | + | 0.524005i | 1.01802 | + | 0.370528i | 0.796506 | − | 0.604630i | ||
0.221510 | + | 0.975158i | ||||||||
−0.173648 | − | 0.984808i | −0.100256 | − | 0.568579i | |||||
0.266044 | + | 0.223238i | 0.133022 | + | 0.111619i | |||||
−1.93969 | + | 1.62760i | −0.867457 | + | 0.727883i | −0.963561 | − | 0.267489i | ||
0.0961041 | + | 0.995371i | ||||||||
0.266044 | − | 1.50881i | 0.108612 | − | 0.615970i | |||||
−0.266044 | + | 0.460802i | −0.100555 | + | 0.174167i | −0.911914 | − | 0.410382i | ||
0.811358 | + | 0.584549i | ||||||||
−1.26604 | − | 2.19285i | −0.447614 | − | 0.775291i | |||||
−0.939693 | + | 0.342020i | −0.313231 | + | 0.114007i | |||||
−3.64543 | + | 1.32683i | −1.15279 | + | 0.419580i | |||||
2.55303 | + | 4.42198i | 0.769769 | + | 1.33328i | 0.937688 | + | 0.347478i | ||
−0.167920 | + | 0.985801i | ||||||||
0.173648 | − | 0.300767i | 0.0501279 | − | 0.0868241i | |||||
0.705737 | − | 4.00243i | 0.195736 | − | 1.11008i | −0.715630 | − | 0.698479i | ||
0.911366 | − | 0.411596i | ||||||||
−0.624485 | + | 0.524005i | −0.166901 | + | 0.140046i | |||||
1.93969 | + | 1.62760i | 0.500826 | + | 0.420243i | |||||
−0.794263 | − | 4.50449i | −0.198566 | − | 1.12612i | |||||
−1.82635 | − | 0.664738i | −0.442955 | − | 0.161223i | 0.110907 | − | 0.993831i | ||
−0.553862 | + | 0.832608i | ||||||||
−1.53209 | −0.361117 | |||||||||
2.23396 | − | 3.74292i | 0.512505 | − | 0.858685i | |||||
−0.879385 | −0.196637 | |||||||||
0.500000 | + | 0.181985i | 0.109109 | + | 0.0397124i | |||||
1.35844 | + | 7.70410i | 0.289621 | + | 1.64252i | |||||
2.33022 | + | 1.95529i | 0.485885 | + | 0.407706i | 0.852549 | − | 0.522648i | ||
−0.366664 | + | 0.930353i | ||||||||
−1.93969 | + | 1.62760i | −0.395938 | + | 0.332232i | |||||
0.245100 | − | 1.39003i | 0.0490200 | − | 0.278006i | |||||
3.11334 | − | 5.39246i | 0.610576 | − | 1.05755i | |||||
0.500000 | + | 0.866025i | 0.0962250 | + | 0.166667i | |||||
−0.173648 | + | 0.0632028i | −0.0328164 | + | 0.0119442i | |||||
−1.51367 | + | 0.550931i | −0.281082 | + | 0.102305i | −0.478714 | − | 0.877971i | ||
0.197633 | + | 0.980276i | ||||||||
1.93969 | + | 3.35965i | 0.354138 | + | 0.613385i | |||||
−4.93969 | + | 8.55580i | −0.887195 | + | 1.53667i | −0.0440180 | + | 0.999031i | ||
−0.843177 | + | 0.537636i | ||||||||
0.337496 | − | 1.91404i | 0.0596615 | − | 0.338357i | |||||
3.91147 | − | 3.28212i | 0.680900 | − | 0.571343i | |||||
−2.28106 | − | 1.91404i | −0.391198 | − | 0.328254i | |||||
−0.233956 | − | 1.32683i | −0.0395457 | − | 0.224275i | |||||
−0.326352 | − | 0.118782i | −0.0543920 | − | 0.0197971i | |||||
6.10607 | 1.00383 | 0.501916 | − | 0.864917i | ||||||
0.501916 | + | 0.864917i | ||||||||
5.17752 | − | 4.21805i | 0.839904 | − | 0.684258i | |||||
−4.06418 | −0.650789 | |||||||||
6.02481 | + | 2.19285i | 0.952607 | + | 0.346721i | |||||
−1.47178 | − | 8.34689i | −0.229854 | − | 1.30356i | −0.853186 | − | 0.521607i | ||
0.623332 | − | 0.781957i | ||||||||
0.624485 | + | 0.524005i | 0.0963602 | + | 0.0808558i | |||||
−0.135630 | + | 0.113807i | −0.0206833 | + | 0.0173554i | −0.653071 | − | 0.757297i | ||
0.632387 | + | 0.774652i | ||||||||
−0.307934 | + | 1.74638i | −0.0464227 | + | 0.263276i | |||||
1.26604 | − | 2.19285i | 0.188731 | − | 0.326891i | |||||
2.33022 | + | 4.03606i | 0.343573 | + | 0.595085i | |||||
−7.10354 | + | 2.58548i | −1.03616 | + | 0.377131i | −0.803422 | − | 0.595409i | ||
−0.232735 | + | 0.972540i | ||||||||
−4.29813 | + | 1.56439i | −0.620382 | + | 0.225801i | |||||
3.35844 | + | 5.81699i | 0.479777 | + | 0.830999i | |||||
1.08125 | − | 1.87278i | 0.152912 | − | 0.264852i | |||||
−0.337496 | + | 1.91404i | −0.0472589 | + | 0.268019i | |||||
1.08125 | − | 0.907278i | 0.149943 | − | 0.125817i | |||||
−7.58512 | − | 6.36467i | −1.04190 | − | 0.874255i | −0.0496783 | − | 0.998765i | ||
−0.992218 | + | 0.124510i | ||||||||
0.266044 | + | 1.50881i | 0.0362041 | + | 0.205323i | |||||
−12.1493 | − | 4.42198i | −1.63821 | − | 0.596260i | |||||
1.34730 | 0.180040 | |||||||||
−4.07398 | − | 1.55007i | −0.539612 | − | 0.205311i | |||||
−2.46791 | −0.324053 | |||||||||
3.58512 | + | 1.30488i | 0.466743 | + | 0.169881i | 0.564676 | − | 0.825312i | ||
−0.0979333 | + | 0.995193i | ||||||||
0.152704 | + | 0.866025i | 0.0197140 | + | 0.111803i | |||||
−10.6702 | − | 8.95340i | −1.36618 | − | 1.14637i | −0.974018 | − | 0.226471i | ||
−0.392167 | − | 0.919894i | ||||||||
−11.5949 | + | 9.72930i | −1.47256 | + | 1.23562i | |||||
0.0923963 | − | 0.524005i | 0.0116408 | − | 0.0660185i | |||||
−3.08512 | + | 5.34359i | −0.385640 | + | 0.667949i | |||||
5.14543 | + | 8.91215i | 0.638212 | + | 1.10542i | |||||
7.35117 | − | 2.67561i | 0.904866 | − | 0.329344i | |||||
9.59627 | − | 3.49276i | 1.17237 | − | 0.426708i | 0.318869 | − | 0.947799i | ||
0.853501 | + | 0.521091i | ||||||||
−0.337496 | − | 0.584561i | −0.0409274 | − | 0.0708884i | |||||
1.52094 | − | 2.63435i | 0.183100 | − | 0.317139i | |||||
0.358441 | − | 2.03282i | 0.0428419 | − | 0.242968i | |||||
2.92855 | − | 2.45734i | 0.347555 | − | 0.291633i | −0.452253 | − | 0.891890i | ||
0.799807 | + | 0.600257i | ||||||||
1.93969 | + | 1.62760i | 0.228595 | + | 0.191814i | |||||
−0.322481 | − | 1.82888i | −0.0377436 | − | 0.214055i | 0.960103 | − | 0.279647i | ||
−0.997847 | + | 0.0655924i | ||||||||
8.79086 | + | 3.19961i | 1.02192 | + | 0.371947i | |||||
−1.41147 | −0.162983 | |||||||||
1.42989 | − | 0.497079i | 0.164020 | − | 0.0570189i | |||||
−2.71688 | −0.309617 | |||||||||
−5.85117 | − | 2.12965i | −0.662514 | − | 0.241135i | |||||
1.82635 | + | 10.3578i | 0.205481 | + | 1.16534i | 0.896682 | + | 0.442676i | ||
−0.691201 | + | 0.722663i | ||||||||
8.87211 | + | 7.44459i | 0.991932 | + | 0.832330i | |||||
0.766044 | − | 0.642788i | 0.0851160 | − | 0.0714208i | |||||
2.25490 | − | 12.7882i | 0.249012 | − | 1.41222i | |||||
5.73783 | − | 9.93821i | 0.629808 | − | 1.09086i | −0.357782 | − | 0.933805i | ||
0.987590 | − | 0.157055i | ||||||||
0.0923963 | + | 0.160035i | 0.0100813 | + | 0.0174613i | |||||
4.62449 | − | 1.68317i | 0.501596 | − | 0.182566i | |||||
−0.254900 | + | 0.0927760i | −0.0274866 | + | 0.0100043i | |||||
0.805407 | + | 1.39501i | 0.0863487 | + | 0.149560i | |||||
6.46451 | − | 11.1969i | 0.689119 | − | 1.19359i | |||||
−1.02869 | + | 5.83396i | −0.109040 | + | 0.618399i | 0.880489 | + | 0.474067i | ||
−0.989529 | + | 0.144332i | ||||||||
2.97178 | − | 2.49362i | 0.313253 | − | 0.262851i | |||||
1.65657 | + | 1.39003i | 0.173656 | + | 0.145715i | |||||
0.183448 | + | 1.04039i | 0.0191258 | + | 0.108468i | |||||
9.28359 | + | 3.37895i | 0.962663 | + | 0.350381i | |||||
−11.5817 | −1.19456 | |||||||||
1.75877 | + | 10.8961i | 0.180446 | + | 1.11792i | |||||
−1.94356 | −0.198364 | |||||||||
6.39053 | + | 2.32596i | 0.648860 | + | 0.236166i | 0.645419 | − | 0.763828i | ||
0.00344055 | + | 0.999994i | ||||||||
1.78699 | + | 10.1345i | 0.180513 | + | 1.02374i | |||||
−3.91147 | − | 3.28212i | −0.393118 | − | 0.329865i | |||||
0.375515 | − | 0.315094i | 0.0375515 | − | 0.0315094i | |||||
−1.52094 | + | 8.62571i | −0.151340 | + | 0.858290i | 0.810717 | + | 0.585439i | ||
−0.962056 | + | 0.272851i | ||||||||
−1.48886 | + | 2.57877i | −0.147419 | + | 0.255337i | |||||
1.92262 | + | 3.33007i | 0.189441 | + | 0.328122i | 0.945064 | − | 0.326885i | ||
−0.755623 | + | 0.655007i | ||||||||
−9.67024 | + | 3.51968i | −0.948245 | + | 0.345133i | |||||
−1.26604 | + | 0.460802i | −0.123553 | + | 0.0449697i | |||||
−7.58512 | − | 13.1378i | −0.736732 | − | 1.27606i | |||||
2.83750 | − | 4.91469i | 0.274311 | − | 0.475121i | −0.695650 | − | 0.718381i | ||
0.969961 | + | 0.243260i | ||||||||
−0.0603074 | + | 0.342020i | −0.00580308 | + | 0.0329109i | |||||
−1.59833 | + | 1.34115i | −0.153092 | + | 0.128459i | −0.716116 | − | 0.697981i | ||
0.563025 | + | 0.826440i | ||||||||
−15.1741 | − | 12.7326i | −1.44680 | − | 1.21401i | |||||
−1.06031 | − | 6.01330i | −0.100640 | − | 0.570757i | |||||
2.28699 | + | 0.832396i | 0.216100 | + | 0.0786540i | |||||
7.27631 | 0.684498 | 0.342249 | − | 0.939609i | ||||||
0.342249 | + | 0.939609i | ||||||||
−5.05303 | − | 4.36640i | −0.473260 | − | 0.408951i | |||||
−7.70233 | −0.718246 | |||||||||
−0.525692 | − | 0.191336i | −0.0488093 | − | 0.0177651i | |||||
0.705737 | + | 4.00243i | 0.0652454 | + | 0.370025i | |||||
4.47771 | + | 3.75725i | 0.412207 | + | 0.345883i | |||||
0.792204 | − | 0.664738i | 0.0726212 | − | 0.0609364i | |||||
1.11334 | − | 6.31407i | 0.101634 | − | 0.576393i | |||||
−7.53596 | + | 13.0527i | −0.685087 | + | 1.18661i | |||||
−10.6702 | − | 18.4814i | −0.966039 | − | 1.67323i | |||||
−7.96451 | + | 2.89884i | −0.718135 | + | 0.261380i | |||||
−3.22416 | + | 1.17350i | −0.289538 | + | 0.105383i | |||||
−4.54323 | − | 7.86911i | −0.406359 | − | 0.703835i | |||||
0.407604 | − | 0.705990i | 0.0363122 | − | 0.0628946i | |||||
0.317734 | − | 1.80196i | 0.0281943 | − | 0.159898i | −0.967460 | − | 0.253024i | ||
0.995654 | + | 0.0931261i | ||||||||
−10.2194 | + | 8.57510i | −0.903277 | + | 0.757939i | |||||
0.135630 | + | 0.113807i | 0.0119415 | + | 0.0100201i | |||||
2.73783 | + | 15.5270i | 0.240123 | + | 1.36181i | |||||
8.25624 | + | 3.00503i | 0.721351 | + | 0.262550i | 0.676499 | − | 0.736443i | ||
0.0448520 | + | 0.998994i | ||||||||
1.77332 | 0.154348 | |||||||||
1.13041 | + | 2.02520i | 0.0980194 | + | 0.175607i | |||||
15.6459 | 1.35160 | |||||||||
−2.37939 | − | 0.866025i | −0.204785 | − | 0.0745356i | |||||
0.854570 | + | 4.84651i | 0.0732788 | + | 0.415585i | |||||
−9.67546 | − | 8.11867i | −0.826630 | − | 0.693625i | 0.127884 | − | 0.991789i | ||
−0.954515 | + | 0.298164i | ||||||||
3.57011 | − | 2.99568i | 0.303908 | − | 0.255009i | |||||
−0.703211 | + | 3.98811i | −0.0596456 | + | 0.338267i | −0.999998 | − | 0.00193468i | ||
0.940353 | + | 0.340201i | ||||||||
0.233956 | − | 0.405223i | 0.0197729 | − | 0.0342476i | |||||
3.77972 | + | 6.54666i | 0.318309 | + | 0.551328i | |||||
5.50387 | − | 2.00324i | 0.461875 | − | 0.168109i | |||||
19.5005 | − | 7.09759i | 1.63071 | − | 0.593530i | |||||
2.28699 | + | 3.96118i | 0.190582 | + | 0.330098i | |||||
2.03936 | − | 3.53228i | 0.169360 | − | 0.293340i | |||||
0.494070 | − | 2.80201i | 0.0408895 | − | 0.231896i | |||||
5.14543 | − | 4.31753i | 0.424388 | − | 0.356104i | |||||
1.62449 | + | 1.36310i | 0.133532 | + | 0.112047i | |||||
1.05391 | + | 5.97702i | 0.0863397 | + | 0.489657i | 0.997059 | + | 0.0766320i | ||
−0.910720 | + | 0.413025i | ||||||||
−2.03209 | − | 0.739620i | −0.165919 | − | 0.0603897i | |||||
−0.162504 | −0.0132244 | −0.00661219 | − | 0.999978i | ||||||
−0.00661219 | + | 0.999978i | ||||||||
−11.0360 | − | 0.160035i | −0.895134 | − | 0.0129806i | |||||
1.94356 | 0.157128 | |||||||||
−3.91147 | − | 1.42366i | −0.315196 | − | 0.114722i | |||||
−4.34389 | − | 24.6354i | −0.348910 | − | 1.97877i | |||||
−1.08125 | − | 0.907278i | −0.0865694 | − | 0.0726404i | |||||
5.10220 | − | 4.28125i | 0.407200 | − | 0.341681i | −0.416069 | − | 0.909333i | ||
0.823269 | + | 0.567652i | ||||||||
−2.79813 | + | 15.8690i | −0.222608 | + | 1.26247i | |||||
−4.95084 | + | 8.57510i | −0.392627 | + | 0.680050i | |||||
2.46064 | + | 4.26195i | 0.194530 | + | 0.336937i | |||||
−1.52094 | + | 0.553579i | −0.119867 | + | 0.0436281i | |||||
1.43969 | − | 0.524005i | 0.113113 | − | 0.0411697i | |||||
0.224155 | + | 0.388249i | 0.0175572 | + | 0.0304100i | 0.874671 | − | 0.484718i | ||
−0.857113 | + | 0.515128i | ||||||||
1.47178 | − | 2.54920i | 0.114927 | − | 0.199059i | |||||
−2.24510 | + | 12.7326i | −0.174781 | + | 0.991231i | |||||
13.4684 | − | 11.3013i | 1.04535 | − | 0.877152i | |||||
2.59627 | + | 2.17853i | 0.200905 | + | 0.168579i | 0.737690 | − | 0.675140i | ||
−0.536785 | + | 0.843719i | ||||||||
−0.233956 | − | 1.32683i | −0.0180501 | − | 0.102367i | |||||
−3.30541 | − | 1.20307i | −0.254262 | − | 0.0925438i | |||||
7.53983 | 0.578279 | |||||||||
−0.819078 | + | 4.28125i | −0.0626364 | + | 0.327395i | |||||
−0.0614894 | −0.00468852 | |||||||||
1.51842 | + | 0.552659i | 0.115443 | + | 0.0420179i | 0.399096 | − | 0.916909i | ||
−0.283653 | + | 0.958927i | ||||||||
0.428548 | + | 2.43042i | 0.0324882 | + | 0.184250i | |||||
0.575322 | + | 0.482753i | 0.0434903 | + | 0.0364927i | |||||
17.8910 | − | 15.0123i | 1.34858 | − | 1.13160i | |||||
0.662504 | − | 3.75725i | 0.0497968 | − | 0.282412i | |||||
−4.53802 | + | 7.86008i | −0.340139 | + | 0.589138i | |||||
−1.05690 | − | 1.83061i | −0.0789967 | − | 0.136826i | 0.823821 | − | 0.566851i | ||
−0.902817 | + | 0.430024i | ||||||||
0.826352 | − | 0.300767i | 0.0615926 | − | 0.0224179i | |||||
−8.22416 | + | 2.99335i | −0.611297 | + | 0.222494i | −0.629071 | − | 0.777348i | ||
0.0177739 | + | 0.999842i | ||||||||
1.65657 | + | 2.86927i | 0.122793 | + | 0.212684i | |||||
−6.96451 | + | 12.0629i | −0.514831 | + | 0.891714i | |||||
1.33750 | − | 7.58532i | 0.0986015 | − | 0.559197i | |||||
−11.8439 | + | 9.93821i | −0.870780 | + | 0.730671i | |||||
11.5949 | + | 9.72930i | 0.850181 | + | 0.713387i | |||||
−1.72328 | − | 9.77320i | −0.126019 | − | 0.714687i | |||||
−2.46703 | − | 0.897927i | −0.179927 | − | 0.0654880i | |||||
−0.532089 | −0.0387038 | |||||||||
−3.17752 | + | 16.6086i | −0.230521 | + | 1.20492i | |||||
−19.0719 | −1.38000 | −0.689998 | − | 0.723811i | ||||||
−0.689998 | + | 0.723811i | ||||||||
5.79813 | + | 2.11035i | 0.418444 | + | 0.152301i | |||||
−4.13903 | − | 23.4736i | −0.297934 | − | 1.68967i | −0.655032 | − | 0.755601i | ||
0.357098 | − | 0.934067i | ||||||||
7.98158 | + | 6.69734i | 0.573044 | + | 0.480841i | |||||
7.88326 | − | 6.61484i | 0.564532 | − | 0.473698i | |||||
−0.405078 | + | 2.29731i | −0.0289341 | + | 0.164093i | |||||
2.19459 | − | 3.80115i | 0.156358 | − | 0.270820i | −0.777195 | − | 0.629260i | ||
0.933553 | + | 0.358440i | ||||||||
−3.91147 | − | 6.77487i | −0.277976 | − | 0.481469i | |||||
18.8293 | − | 6.85332i | 1.33478 | − | 0.485819i | 0.426613 | − | 0.904434i | ||
0.908164 | + | 0.418615i | ||||||||
−3.35844 | + | 1.22237i | −0.237478 | + | 0.0864348i | |||||
−5.10607 | − | 8.84397i | −0.360154 | − | 0.623805i | |||||
−6.70961 | + | 11.6214i | −0.472086 | + | 0.817678i | |||||
0.148833 | − | 0.844075i | 0.0104460 | − | 0.0592425i | |||||
−0.517074 | + | 0.433877i | −0.0362024 | + | 0.0303774i | |||||
16.4402 | + | 13.7949i | 1.14823 | + | 0.963480i | |||||
1.02300 | + | 5.80174i | 0.0712761 | + | 0.404227i | |||||
−2.85844 | − | 1.04039i | −0.198675 | − | 0.0723119i | |||||
−18.5895 | −1.28895 | |||||||||
22.2545 | + | 0.322718i | 1.53938 | + | 0.0223228i | |||||
−2.06418 | −0.142442 | |||||||||
−25.5526 | − | 9.30039i | −1.75912 | − | 0.640266i | −0.759172 | − | 0.650891i | ||
−0.999944 | + | 0.0106250i | ||||||||
−0.597144 | − | 3.38657i | −0.0410120 | − | 0.232591i | |||||
−2.92855 | − | 2.45734i | −0.200661 | − | 0.168374i | |||||
6.66044 | − | 5.58878i | 0.455299 | − | 0.382041i | |||||
0.0778483 | − | 0.441500i | 0.00530921 | − | 0.0301100i | |||||
1.26604 | − | 2.19285i | 0.0861434 | − | 0.149205i | |||||
−2.62836 | − | 4.55245i | −0.178424 | − | 0.309040i | |||||
−3.00387 | + | 1.09332i | −0.203448 | + | 0.0740489i | |||||
−1.74510 | + | 0.635164i | −0.117923 | + | 0.0429204i | |||||
−2.24510 | − | 3.88863i | −0.151365 | − | 0.262171i | |||||
−3.94949 | + | 6.84072i | −0.265672 | + | 0.460157i | |||||
1.62449 | − | 9.21291i | 0.109028 | − | 0.618330i | |||||
−9.20233 | + | 7.72167i | −0.616234 | + | 0.517082i | −0.896617 | − | 0.442807i | ||
0.280383 | + | 0.959888i | ||||||||
0.792204 | + | 0.664738i | 0.0529313 | + | 0.0444147i | |||||
0.245100 | + | 1.39003i | 0.0163400 | + | 0.0926687i | |||||
10.4757 | + | 3.81283i | 0.696830 | + | 0.253625i | |||||
4.34049 | 0.288088 | 0.144044 | − | 0.989571i | ||||||
0.144044 | + | 0.989571i | ||||||||
−0.737826 | − | 1.32185i | −0.0488637 | − | 0.0875418i | |||||
3.29591 | 0.217800 | 0.108900 | − | 0.994053i | ||||||
0.108900 | + | 0.994053i | ||||||||
−11.0890 | − | 4.03606i | −0.731187 | − | 0.266130i | |||||
0.471782 | + | 2.67561i | 0.0310409 | + | 0.176042i | |||||
3.12449 | + | 2.62175i | 0.205132 | + | 0.172127i | |||||
−11.8209 | + | 9.91890i | −0.774412 | + | 0.649809i | −0.941835 | − | 0.336076i | ||
0.167423 | + | 0.985885i | ||||||||
−1.08125 | + | 6.13208i | −0.0706836 | + | 0.400867i | |||||
9.57057 | − | 16.5767i | 0.624315 | − | 1.08135i | |||||
0.662504 | + | 1.14749i | 0.0431253 | + | 0.0746953i | |||||
9.88326 | − | 3.59721i | 0.641986 | − | 0.233664i | |||||
1.48886 | − | 0.541899i | 0.0965082 | − | 0.0351261i | |||||
−7.91147 | − | 13.7031i | −0.511751 | − | 0.886378i | −0.999907 | − | 0.0136221i | ||
0.488156 | − | 0.872756i | ||||||||
5.79086 | − | 10.0301i | 0.373798 | − | 0.647438i | |||||
−4.10607 | + | 23.2867i | −0.264495 | + | 1.50003i | 0.505974 | + | 0.862549i | ||
−0.770469 | + | 0.637477i | ||||||||
−17.6891 | + | 14.8429i | −1.13710 | + | 0.954140i | |||||
−0.766044 | − | 0.642788i | −0.0491418 | − | 0.0412348i | |||||
−0.840022 | − | 4.76400i | −0.0537769 | − | 0.304984i | |||||
−15.9820 | − | 5.81699i | −1.02106 | − | 0.371634i | |||||
−12.9855 | −0.827922 | |||||||||
−13.4042 | − | 11.5828i | −0.852889 | − | 0.736994i | |||||
25.0155 | 1.58848 | |||||||||
−10.7836 | − | 3.92490i | −0.683382 | − | 0.248731i | |||||
−2.41740 | − | 13.7098i | −0.152890 | − | 0.867083i | |||||
14.8701 | + | 12.4775i | 0.938589 | + | 0.787570i | 0.977339 | − | 0.211679i | ||
−0.0387499 | + | 0.999249i | ||||||||
0.141559 | − | 0.118782i | 0.00891740 | − | 0.00748258i | |||||
−2.69712 | + | 15.2961i | −0.169566 | + | 0.961659i | |||||
1.40167 | − | 2.42777i | 0.0879488 | − | 0.152332i | |||||
−2.46064 | − | 4.26195i | −0.154091 | − | 0.266894i | |||||
−7.60994 | + | 2.76979i | −0.475621 | + | 0.173112i | |||||
−11.5544 | + | 4.20545i | −0.720742 | + | 0.262329i | −0.676241 | − | 0.736681i | ||
−0.0445014 | + | 0.999009i | ||||||||
0.135630 | + | 0.234917i | 0.00844392 | + | 0.0146253i | |||||
−1.62449 | + | 2.81369i | −0.100941 | + | 0.174834i | |||||
−0.620615 | + | 3.51968i | −0.0384889 | + | 0.218281i | |||||
1.23396 | − | 1.03541i | 0.0763799 | − | 0.0640904i | |||||
10.3118 | + | 8.65263i | 0.637065 | + | 0.534561i | |||||
1.10101 | + | 6.24416i | 0.0678915 | + | 0.385032i | 0.999753 | + | 0.0222179i | ||
−0.931862 | + | 0.362814i | ||||||||
−12.1493 | − | 4.42198i | −0.747738 | − | 0.272154i | |||||
25.0719 | 1.54016 | |||||||||
0.566237 | + | 3.50800i | 0.0347182 | + | 0.215089i | |||||
5.92396 | 0.362541 | |||||||||
3.33275 | + | 1.21302i | 0.203580 | + | 0.0740971i | |||||
−0.403733 | − | 2.28969i | −0.0246161 | − | 0.139605i | 0.970023 | − | 0.243014i | ||
−0.994639 | + | 0.103409i | ||||||||
−2.97178 | − | 2.49362i | −0.180857 | − | 0.151757i | |||||
11.4474 | − | 9.60554i | 0.695382 | − | 0.583495i | −0.225074 | − | 0.974342i | ||
0.920456 | + | 0.390847i | ||||||||
−1.54370 | + | 8.75476i | −0.0936006 | + | 0.530835i | |||||
1.08125 | − | 1.87278i | 0.0654403 | − | 0.113346i | |||||
−9.67546 | − | 16.7584i | −0.584516 | − | 1.01241i | |||||
6.77244 | − | 2.46497i | 0.408394 | − | 0.148643i | |||||
0.992726 | − | 0.361323i | 0.0597551 | − | 0.0217491i | |||||
11.9829 | + | 20.7550i | 0.719984 | + | 1.24705i | 0.961005 | + | 0.276529i | ||
−0.241021 | + | 0.970520i | ||||||||
−3.10220 | + | 5.37316i | −0.186057 | + | 0.322261i | |||||
1.71554 | − | 9.72930i | 0.102707 | − | 0.582478i | |||||
−2.61334 | + | 2.19285i | −0.156177 | + | 0.131048i | |||||
19.5804 | + | 16.4299i | 1.16807 | + | 0.980125i | 0.999984 | − | 0.00564805i | ||
0.168083 | + | 0.985773i | ||||||||
2.01114 | + | 11.4058i | 0.119762 | + | 0.679204i | |||||
7.05778 | + | 2.56882i | 0.419542 | + | 0.152701i | 0.543160 | − | 0.839629i | ||
−0.123619 | + | 0.992330i | ||||||||
1.32770 | 0.0787843 | |||||||||
10.4251 | − | 3.62414i | 0.617532 | − | 0.214675i | |||||
31.7939 | 1.88001 | |||||||||
4.23783 | + | 1.54244i | 0.250151 | + | 0.0910475i | |||||
0.337496 | + | 1.91404i | 0.0198872 | + | 0.112786i | |||||
−10.1291 | − | 8.49930i | −0.595828 | − | 0.499959i | |||||
4.78699 | − | 4.01676i | 0.281102 | − | 0.235872i | |||||
1.18092 | − | 6.69734i | 0.0692269 | − | 0.392605i | |||||
0.322481 | − | 0.558554i | 0.0188718 | − | 0.0326869i | |||||
−7.38326 | − | 12.7882i | −0.431334 | − | 0.747093i | 0.565654 | − | 0.824643i | ||
−0.996989 | + | 0.0775495i | ||||||||
9.67024 | − | 3.51968i | 0.563980 | − | 0.205272i | |||||
−9.07785 | + | 3.30407i | −0.528533 | + | 0.192370i | |||||
−7.73055 | − | 13.3897i | −0.449329 | − | 0.778261i | |||||
−2.55303 | + | 4.42198i | −0.148142 | + | 0.256590i | |||||
−1.61468 | + | 9.15733i | −0.0935362 | + | 0.530470i | |||||
9.47044 | − | 7.94664i | 0.547690 | − | 0.459566i | |||||
−0.375515 | − | 0.315094i | −0.0216804 | − | 0.0181920i | |||||
−0.0163589 | − | 0.0927760i | −0.000942912 | − | 0.00534752i | |||||
−0.233956 | − | 0.0851529i | −0.0134626 | − | 0.00490000i | |||||
8.75877 | 0.503178 | |||||||||
−18.6343 | − | 7.08997i | −1.06875 | − | 0.406637i | |||||
35.2695 | 2.01953 | |||||||||
2.79813 | + | 1.01844i | 0.159959 | + | 0.0582202i | |||||
0.957234 | + | 5.42874i | 0.0546322 | + | 0.309835i | 0.999863 | − | 0.0165689i | ||
−0.945231 | + | 0.326404i | ||||||||
−0.722811 | − | 0.606511i | −0.0411860 | − | 0.0345591i | |||||
2.94562 | − | 2.47167i | 0.167571 | − | 0.140608i | |||||
6.65523 | − | 37.7437i | 0.377992 | − | 2.14370i | |||||
−8.69981 | + | 15.0685i | −0.493321 | + | 0.854457i | −0.999970 | − | 0.00769537i | ||
0.506650 | + | 0.862152i | ||||||||
5.14543 | + | 8.91215i | 0.291303 | + | 0.504551i | |||||
−14.9820 | + | 5.45302i | −0.846835 | + | 0.308223i | −0.728749 | − | 0.684780i | ||
−0.118086 | + | 0.993003i | ||||||||
9.58899 | − | 3.49011i | 0.541138 | − | 0.196958i | |||||
0.673648 | + | 1.16679i | 0.0379558 | + | 0.0657413i | |||||
−1.82635 | + | 3.16333i | −0.102740 | + | 0.177951i | |||||
0.342711 | − | 1.94361i | 0.0192486 | − | 0.109164i | −0.973670 | − | 0.227963i | ||
0.992918 | + | 0.118799i | ||||||||
−11.6211 | + | 9.75125i | −0.651678 | + | 0.546823i | |||||
−6.30066 | − | 5.28688i | −0.352769 | − | 0.296009i | |||||
−2.71301 | − | 15.3863i | −0.151662 | − | 0.860118i | |||||
−5.33275 | − | 1.94096i | −0.297645 | − | 0.108334i | |||||
−2.47977 | −0.138192 | |||||||||
−6.56805 | + | 5.35089i | −0.365456 | + | 0.297732i | |||||
0.347296 | 0.0192942 | |||||||||
−5.39053 | − | 1.96199i | −0.299013 | − | 0.108832i | |||||
0.119271 | + | 0.676417i | 0.00660579 | + | 0.0374633i | |||||
1.59833 | + | 1.34115i | 0.0883876 | + | 0.0741660i | |||||
−16.4402 | + | 13.7949i | −0.907756 | + | 0.761698i | |||||
0.698463 | − | 3.96118i | 0.0385075 | − | 0.218387i | |||||
−9.90420 | + | 17.1546i | −0.545208 | + | 0.944328i | |||||
0.418748 | + | 0.725293i | 0.0230165 | + | 0.0398657i | 0.877304 | − | 0.479935i | ||
−0.854288 | + | 0.519800i | ||||||||
3.74510 | − | 1.36310i | 0.205539 | − | 0.0748101i | |||||
−5.73783 | + | 2.08840i | −0.314431 | + | 0.114443i | |||||
2.59627 | + | 4.49687i | 0.142061 | + | 0.246058i | |||||
−12.9290 | + | 22.3937i | −0.706388 | + | 1.22350i | |||||
0.422618 | − | 2.39679i | 0.0230557 | − | 0.130756i | |||||
−2.54916 | + | 2.13900i | −0.138862 | + | 0.116519i | −0.709573 | − | 0.704632i | ||
0.570711 | + | 0.821151i | ||||||||
−4.12836 | − | 3.46410i | −0.224553 | − | 0.188422i | |||||
−1.26352 | − | 7.16577i | −0.0686249 | − | 0.389191i | |||||
1.60607 | + | 0.584561i | 0.0871012 | + | 0.0317022i | |||||
−50.4448 | −2.73174 | |||||||||
−3.42262 | + | 5.73448i | −0.185074 | + | 0.310085i | |||||
−7.29860 | −0.394087 | |||||||||
0.421274 | + | 0.153331i | 0.0227136 | + | 0.00826707i | |||||
1.33750 | + | 7.58532i | 0.0720084 | + | 0.408380i | |||||
1.89646 | + | 1.59132i | 0.101954 | + | 0.0855498i | |||||
3.07011 | − | 2.57613i | 0.164812 | − | 0.138294i | −0.556652 | − | 0.830746i | ||
0.721464 | + | 0.692452i | ||||||||
−0.0971440 | + | 0.550931i | −0.00520747 | + | 0.0295330i | |||||
13.9513 | − | 24.1644i | 0.746796 | − | 1.29349i | −0.202555 | − | 0.979271i | ||
0.949351 | − | 0.314218i | ||||||||
0.575322 | + | 0.996487i | 0.0307523 | + | 0.0532645i | |||||
3.81908 | − | 1.39003i | 0.203847 | − | 0.0741943i | |||||
9.32547 | − | 3.39420i | 0.497049 | − | 0.180911i | |||||
−6.47178 | − | 11.2095i | −0.344458 | − | 0.596619i | 0.640797 | − | 0.767710i | ||
−0.985255 | + | 0.171091i | ||||||||
2.92262 | − | 5.06212i | 0.155335 | − | 0.269049i | |||||
−1.68092 | + | 9.53298i | −0.0892141 | + | 0.505958i | |||||
−1.57604 | + | 1.32245i | −0.0835298 | + | 0.0700898i | |||||
−0.792204 | − | 0.664738i | −0.0419279 | − | 0.0351816i | |||||
−0.562367 | − | 3.18934i | −0.0297220 | − | 0.168562i | |||||
−10.7562 | − | 3.91495i | −0.567693 | − | 0.206623i | 0.0421972 | − | 0.999109i | ||
−0.609890 | + | 0.792486i | ||||||||
−6.41147 | −0.337914 | |||||||||
−9.01889 | − | 16.7230i | −0.474678 | − | 0.880159i | |||||
−13.4088 | −0.704750 | |||||||||
14.1630 | + | 5.15490i | 0.743363 | + | 0.270562i | |||||
0.130415 | + | 0.739620i | 0.00683560 | + | 0.0387666i | |||||
3.60220 | + | 3.02260i | 0.188548 | + | 0.158210i | |||||
−16.3478 | + | 13.7174i | −0.854511 | + | 0.717020i | |||||
−4.96657 | + | 28.1668i | −0.259253 | + | 1.47030i | 0.525663 | + | 0.850693i | ||
−0.784916 | + | 0.619602i | ||||||||
6.95677 | − | 12.0495i | 0.362647 | − | 0.628122i | |||||
4.23783 | + | 7.34013i | 0.220612 | + | 0.382112i | |||||
−22.2592 | + | 8.10170i | −1.15720 | + | 0.421187i | |||||
4.95084 | − | 1.80196i | 0.257035 | − | 0.0935530i | |||||
1.71554 | + | 2.97140i | 0.0889465 | + | 0.154060i | |||||
6.28312 | − | 10.8827i | 0.325328 | − | 0.563484i | −0.656251 | − | 0.754543i | ||
0.981579 | + | 0.191059i | ||||||||
2.64022 | − | 14.9734i | 0.136522 | − | 0.774256i | |||||
−6.96064 | + | 5.84067i | −0.359446 | + | 0.301611i | |||||
14.6630 | + | 12.3037i | 0.756185 | + | 0.634515i | |||||
1.13681 | + | 6.44718i | 0.0585488 | + | 0.332047i | |||||
−0.766044 | − | 0.278817i | −0.0394011 | − | 0.0143408i | |||||
−2.19934 | −0.112973 | −0.0564863 | − | 0.998403i | ||||||
−0.0564863 | + | 0.998403i | ||||||||
−1.96451 | + | 3.29147i | −0.100777 | + | 0.168849i | |||||
−1.82976 | −0.0937412 | |||||||||
−27.4577 | − | 9.99379i | −1.40486 | − | 0.511327i | |||||
−1.02940 | − | 5.83802i | −0.0525999 | − | 0.298309i | 0.947147 | − | 0.320799i | ||
−0.999747 | + | 0.0224905i | ||||||||
10.2194 | + | 8.57510i | 0.521507 | + | 0.437596i | |||||
5.26991 | − | 4.42198i | 0.268580 | − | 0.225365i | |||||
6.34137 | − | 35.9637i | 0.322767 | − | 1.83050i | |||||
0.0885259 | − | 0.153331i | 0.00450002 | − | 0.00779427i | |||||
1.18092 | + | 2.04542i | 0.0599522 | + | 0.103840i | |||||
31.1215 | − | 11.3273i | 1.57793 | − | 0.574318i | 0.603174 | − | 0.797610i | ||
0.974752 | + | 0.223292i | ||||||||
14.8157 | − | 5.39246i | 0.750221 | − | 0.273058i | |||||
−2.95605 | − | 5.12003i | −0.149494 | − | 0.258931i | |||||
8.50387 | − | 14.7291i | 0.429510 | − | 0.743934i | |||||
1.52569 | − | 8.65263i | 0.0769610 | − | 0.436467i | |||||
5.15136 | − | 4.32250i | 0.259522 | − | 0.217765i | |||||
−20.4008 | − | 17.1183i | −1.02648 | − | 0.861315i | |||||
−0.307934 | − | 1.74638i | −0.0154742 | − | 0.0877588i | |||||
24.4786 | + | 8.90950i | 1.22855 | + | 0.447155i | 0.873100 | − | 0.487541i | ||
0.355448 | + | 0.934696i | ||||||||
30.6996 | 1.53883 | |||||||||
1.79813 | − | 1.46491i | 0.0900193 | − | 0.0733374i | |||||
−6.45605 | −0.322803 | |||||||||
15.0052 | + | 5.46145i | 0.749325 | + | 0.272732i | 0.688322 | − | 0.725406i | ||
0.0610031 | + | 0.998138i | ||||||||
−2.71688 | − | 15.4082i | −0.135506 | − | 0.768491i | |||||
30.7579 | + | 25.8089i | 1.53216 | + | 1.28563i | |||||
−2.33022 | + | 1.95529i | −0.115933 | + | 0.0972792i | |||||
−0.439693 | + | 2.49362i | −0.0218485 | + | 0.123909i | |||||
0.656574 | − | 1.13722i | 0.0325852 | − | 0.0564393i | |||||
15.5890 | + | 27.0009i | 0.772718 | + | 1.33839i | |||||
4.62449 | − | 1.68317i | 0.228946 | − | 0.0833296i | |||||
2.77079 | − | 1.00849i | 0.137007 | − | 0.0498664i | −0.272607 | − | 0.962126i | ||
0.409614 | + | 0.912259i | ||||||||
16.4402 | + | 28.4752i | 0.811922 | + | 1.40629i | |||||
−6.31521 | + | 10.9383i | −0.311506 | + | 0.539545i | |||||
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5.04576 | + | 28.6159i | 0.247687 | + | 1.40470i | |||||
−7.42262 | − | 2.70161i | −0.363924 | − | 0.132457i | |||||
4.04963 | 0.198311 | |||||||||
31.8705 | + | 12.1261i | 1.55884 | + | 0.593106i | |||||
−33.4962 | −1.63640 | −0.818198 | − | 0.574937i | ||||||
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3.12877 | + | 17.7441i | 0.152487 | + | 0.864795i | 0.961048 | + | 0.276383i | ||
−0.808561 | + | 0.588412i | ||||||||
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5.79086 | − | 4.85911i | 0.281561 | − | 0.236258i | |||||
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6.96451 | − | 2.53487i | 0.337036 | − | 0.122671i | |||||
1.85204 | − | 0.674089i | 0.0895219 | − | 0.0325833i | |||||
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0.343426 | − | 0.594831i | 0.0165615 | − | 0.0286853i | |||||
3.70233 | − | 20.9970i | 0.178335 | − | 1.01139i | −0.755888 | − | 0.654701i | ||
0.934223 | − | 0.356688i | ||||||||
3.50387 | − | 2.94010i | 0.168580 | − | 0.141455i | |||||
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−0.724622 | −0.0347031 | |||||||||
12.5241 | − | 4.35381i | 0.599109 | − | 0.208271i | |||||
−2.84524 | −0.135951 | |||||||||
3.18257 | + | 1.15836i | 0.151896 | + | 0.0552856i | 0.416849 | − | 0.908976i | ||
−0.264953 | + | 0.964261i | ||||||||
5.68479 | + | 32.2401i | 0.271012 | + | 1.53698i | |||||
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−9.27063 | + | 7.77898i | −0.440959 | + | 0.370008i | |||||
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−0.811344 | + | 0.584569i | ||||||||
1.06031 | − | 1.83651i | 0.0503200 | − | 0.0871567i | |||||
−7.50000 | − | 12.9904i | −0.355534 | − | 0.615803i | |||||
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5.70321 | − | 2.07580i | 0.269753 | − | 0.0981819i | |||||
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15.4559 | − | 26.7704i | 0.729409 | − | 1.26337i | −0.227725 | − | 0.973725i | ||
0.957134 | − | 0.289647i | ||||||||
−0.375515 | + | 2.12965i | −0.0177019 | + | 0.100393i | |||||
33.1523 | − | 27.8181i | 1.56108 | − | 1.30990i | |||||
1.93582 | + | 1.62435i | 0.0910534 | + | 0.0764029i | |||||
0.0282185 | + | 0.160035i | 0.00132582 | + | 0.00751910i | |||||
6.24897 | + | 2.27444i | 0.293279 | + | 0.106745i | |||||
−5.47565 | −0.256703 | |||||||||
1.75877 | + | 10.8961i | 0.0823620 | + | 0.510256i | |||||
−39.0479 | −1.82658 | −0.913291 | − | 0.407307i | ||||||
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4.74510 | + | 1.72708i | 0.221724 | + | 0.0807009i | |||||
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0.615500 | + | 0.788137i | ||||||||
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1.64156 | − | 2.84326i | 0.0762897 | − | 0.132138i | −0.825357 | − | 0.564612i | ||
0.901646 | + | 0.432474i | ||||||||
3.68392 | + | 6.38073i | 0.171021 | + | 0.296218i | |||||
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11.4436 | + | 19.8208i | 0.529545 | + | 0.917199i | 0.999406 | + | 0.0344584i | ||
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22.4650 | − | 18.8504i | 1.03623 | − | 0.869502i | |||||
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−1.67752 | − | 9.51368i | −0.0772141 | − | 0.437903i | |||||
−0.849518 | − | 0.309199i | −0.0390609 | − | 0.0142170i | |||||
16.1138 | 0.740132 | |||||||||
−4.65523 | − | 4.02266i | −0.213597 | − | 0.184572i | |||||
0.359156 | 0.0164619 | |||||||||
9.30453 | + | 3.38657i | 0.426025 | + | 0.155060i | |||||
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−0.795965 | + | 0.605343i | ||||||||
3.76991 | − | 3.16333i | 0.172072 | − | 0.144386i | |||||
4.30928 | − | 24.4391i | 0.196486 | − | 1.11433i | |||||
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0.809278 | + | 1.40171i | 0.0368234 | + | 0.0637800i | |||||
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11.2554 | − | 19.4949i | 0.510029 | − | 0.883397i | −0.489903 | − | 0.871777i | ||
0.999932 | − | 0.0116199i | ||||||||
−6.12449 | + | 34.7337i | −0.277242 | + | 1.57232i | |||||
0.343426 | − | 0.288169i | 0.0155303 | − | 0.0130314i | |||||
−19.9611 | − | 16.7494i | −0.901751 | − | 0.756659i | |||||
1.26264 | + | 7.16079i | 0.0569822 | + | 0.323162i | 0.999953 | − | 0.00971390i | ||
−0.942971 | + | 0.332876i | ||||||||
−2.76604 | − | 1.00676i | −0.124703 | − | 0.0453881i | |||||
3.13072 | 0.141001 | |||||||||
−13.2285 | − | 23.6995i | −0.595178 | − | 1.06629i | |||||
12.9290 | 0.581116 | |||||||||
42.4629 | + | 15.4552i | 1.90664 | + | 0.693961i | |||||
0.353226 | + | 2.00324i | 0.0158444 | + | 0.0898578i | |||||
−13.4684 | − | 11.3013i | −0.603532 | − | 0.506424i | |||||
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0.396129 | + | 0.918195i | ||||||||
0.547981 | − | 3.10775i | 0.0245065 | − | 0.138983i | |||||
1.69459 | − | 2.93512i | 0.0757088 | − | 0.131132i | |||||
14.8701 | + | 25.7557i | 0.663683 | + | 1.14953i | |||||
−7.86571 | + | 2.86289i | −0.350715 | + | 0.127650i | −0.511370 | − | 0.859361i | ||
0.160655 | + | 0.987011i | ||||||||
−1.26604 | + | 0.460802i | −0.0563941 | + | 0.0205258i | |||||
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−11.8983 | + | 20.6084i | −0.528943 | + | 0.916156i | |||||
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0.486796 | − | 0.408471i | 0.0215981 | − | 0.0181230i | |||||
10.4816 | + | 8.79509i | 0.464588 | + | 0.389836i | 0.844816 | − | 0.535057i | ||
−0.380228 | + | 0.924893i | ||||||||
−1.30928 | − | 7.42528i | −0.0579758 | − | 0.328797i | |||||
0.928548 | + | 0.337964i | 0.0410766 | + | 0.0149506i | |||||
14.2736 | 0.630811 | |||||||||
4.35844 | + | 0.0632028i | 0.192430 | + | 0.00279047i | |||||
−18.8384 | −0.830928 | |||||||||
−9.14930 | − | 3.33007i | −0.403166 | − | 0.146741i | |||||
0.0106775 | + | 0.0605553i | 0.000470052 | + | 0.00266580i | |||||
−29.5685 | − | 24.8109i | −1.30042 | − | 1.09118i | |||||
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0.280592 | − | 1.59132i | 0.0123166 | − | 0.0698511i | |||||
13.0287 | − | 22.5663i | 0.571346 | − | 0.989600i | |||||
8.48205 | + | 14.6913i | 0.371605 | + | 0.643639i | 0.989813 | − | 0.142376i | ||
−0.618207 | + | 0.786015i | ||||||||
2.31908 | − | 0.844075i | 0.101503 | − | 0.0369442i | |||||
3.67112 | − | 1.33618i | 0.160527 | − | 0.0584270i | −0.260507 | − | 0.965472i | ||
0.421034 | + | 0.907045i | ||||||||
1.52569 | + | 2.64258i | 0.0666502 | + | 0.115441i | |||||
0.375515 | − | 0.650411i | 0.0163888 | − | 0.0283863i | |||||
−1.68685 | + | 9.56661i | −0.0735502 | + | 0.417124i | |||||
14.7090 | − | 12.3423i | 0.640733 | − | 0.537639i | |||||
−17.8910 | − | 15.0123i | −0.778606 | − | 0.653328i | |||||
−2.38713 | − | 13.5381i | −0.103788 | − | 0.588611i | |||||
36.0959 | + | 13.1378i | 1.56790 | + | 0.570670i | |||||
−3.81521 | −0.165566 | |||||||||
−0.151359 | + | 0.791143i | −0.00656227 | + | 0.0343004i | |||||
−34.4466 | −1.49205 | |||||||||
8.52869 | + | 3.10419i | 0.369072 | + | 0.134331i | |||||
2.49525 | + | 14.1513i | 0.107879 | + | 0.611813i | |||||
−19.8084 | − | 16.6212i | −0.855593 | − | 0.717927i | |||||
−1.61927 | + | 1.35873i | −0.0698767 | + | 0.0586335i | |||||
0.618555 | − | 3.50800i | 0.0266678 | − | 0.151241i | |||||
−17.1484 | + | 29.7019i | −0.738635 | + | 1.27935i | |||||
−0.439693 | − | 0.761570i | −0.0189214 | − | 0.0327728i | |||||
−12.4017 | + | 4.51384i | −0.533190 | + | 0.194065i | −0.594562 | − | 0.804050i | ||
0.0613724 | + | 0.998115i | ||||||||
21.5141 | − | 7.83051i | 0.924111 | − | 0.336349i | |||||
4.37598 | + | 7.57942i | 0.187791 | + | 0.325264i | |||||
−1.88872 | + | 3.27136i | −0.0809781 | + | 0.140258i | |||||
0.917404 | − | 5.20286i | 0.0392973 | − | 0.222866i | |||||
2.53802 | − | 2.12965i | 0.108617 | − | 0.0911406i | |||||
−24.1878 | − | 20.2960i | −1.03420 | − | 0.867793i | −0.0428509 | − | 0.999081i | ||
−0.991344 | + | 0.131289i | ||||||||
−0.761707 | − | 4.31986i | −0.0325385 | − | 0.184535i | |||||
13.0890 | + | 4.76400i | 0.558625 | + | 0.203323i | |||||
11.0419 | 0.470828 | |||||||||
−1.31938 | + | 6.89630i | −0.0562076 | + | 0.293792i | |||||
−7.70233 | −0.327833 | |||||||||
−5.25877 | − | 1.91404i | −0.223626 | − | 0.0813931i | |||||
6.37598 | + | 36.1600i | 0.270890 | + | 1.53629i | |||||
11.8439 | + | 9.93821i | 0.502745 | + | 0.421853i | |||||
−1.07738 | + | 0.904030i | −0.0456912 | + | 0.0383394i | |||||
6.18748 | − | 35.0909i | 0.262172 | − | 1.48685i | −0.514797 | − | 0.857312i | ||
0.776969 | − | 0.629539i | ||||||||
7.56805 | − | 13.1082i | 0.320381 | − | 0.554916i | |||||
0.359785 | + | 0.623166i | 0.0152173 | + | 0.0263571i | |||||
−5.79086 | + | 2.10770i | −0.244708 | + | 0.0890666i | |||||
−9.32547 | + | 3.39420i | −0.393722 | + | 0.143303i | |||||
19.5804 | + | 33.9142i | 0.825948 | + | 1.43058i | |||||
10.9957 | − | 19.0451i | 0.463414 | − | 0.802657i | −0.535714 | − | 0.844399i | ||
0.999128 | + | 0.0417423i | ||||||||
−0.455889 | + | 2.58548i | −0.0191964 | + | 0.108868i | |||||
−14.1138 | + | 11.8429i | −0.593772 | + | 0.498234i | |||||
8.81496 | + | 7.39663i | 0.370520 | + | 0.310904i | |||||
0.0923963 | + | 0.524005i | 0.00388028 | + | 0.0220062i | |||||
−9.09627 | − | 3.31077i | −0.381671 | − | 0.138917i | |||||
28.7588 | 1.20563 | 0.602815 | − | 0.797881i | ||||||
0.602815 | + | 0.797881i | ||||||||
16.9081 | + | 0.245188i | 0.708201 | + | 0.0102698i | |||||
7.30365 | 0.305648 | 0.152824 | − | 0.988253i | ||||||
0.152824 | + | 0.988253i | ||||||||
6.77244 | + | 2.46497i | 0.283170 | + | 0.103065i | |||||
3.31180 | + | 18.7822i | 0.138353 | + | 0.784637i | |||||
5.29292 | + | 4.44129i | 0.220922 | + | 0.185376i | |||||
3.28905 | − | 2.75984i | 0.137163 | − | 0.115093i | |||||
1.07145 | − | 6.07650i | 0.0446438 | − | 0.253188i | |||||
−15.7545 | + | 27.2876i | −0.655868 | + | 1.13600i | 0.325807 | + | 0.945436i | ||
−0.981675 | + | 0.190561i | ||||||||
−10.1291 | − | 17.5441i | −0.421314 | − | 0.729737i | |||||
−22.3983 | + | 8.15230i | −0.930840 | + | 0.338798i | |||||
1.33110 | − | 0.484481i | 0.0552709 | − | 0.0201170i | |||||
3.05303 | + | 5.28801i | 0.126661 | + | 0.219384i | |||||
5.20961 | − | 9.02330i | 0.215945 | − | 0.374028i | |||||
8.77941 | − | 49.7905i | 0.363606 | − | 2.06211i | |||||
−3.60220 | + | 3.02260i | −0.149060 | + | 0.125076i | |||||
−7.88326 | − | 6.61484i | −0.325933 | − | 0.273490i | |||||
−3.92855 | − | 22.2799i | −0.162287 | − | 0.920374i | |||||
−25.6434 | − | 9.33342i | −1.05842 | − | 0.385232i | −0.246583 | − | 0.969122i | ||
−0.811833 | + | 0.583890i | ||||||||
2.33275 | 0.0962009 | |||||||||
20.9886 | + | 37.6021i | 0.864820 | + | 1.54937i | |||||
−14.8007 | −0.609334 | |||||||||
−4.12449 | − | 1.50119i | −0.169659 | − | 0.0617507i | |||||
−4.84982 | − | 27.5047i | −0.199326 | − | 1.13044i | |||||
26.6366 | + | 22.3507i | 1.09383 | + | 0.917834i | 0.996995 | − | 0.0774657i | ||
0.0968375 | + | 0.995300i | ||||||||
−5.99273 | + | 5.02849i | −0.245885 | + | 0.206322i | |||||
−0.454707 | + | 2.57877i | −0.0186412 | + | 0.105719i | |||||
−1.05391 | + | 1.82543i | −0.0431699 | + | 0.0747724i | |||||
−10.0189 | − | 17.3532i | −0.410046 | − | 0.710220i | |||||
17.7986 | − | 6.47816i | 0.727839 | − | 0.264912i | |||||
−14.9402 | + | 5.43777i | −0.610438 | + | 0.222181i | −0.628695 | − | 0.777652i | ||
0.0182567 | + | 0.999833i | ||||||||
1.78699 | + | 3.09516i | 0.0729535 | + | 0.126359i | |||||
12.3464 | − | 21.3846i | 0.503621 | − | 0.872297i | −0.496370 | − | 0.868111i | ||
0.999991 | − | 0.00418616i | ||||||||
0.0250633 | − | 0.142141i | 0.00102150 | − | 0.00579324i | |||||
−7.82295 | + | 6.56423i | −0.318575 | + | 0.267316i | |||||
−0.0432332 | − | 0.0362770i | −0.00175914 | − | 0.00147609i | |||||
−6.62701 | − | 37.5836i | −0.269426 | − | 1.52799i | |||||
12.6099 | + | 4.58964i | 0.512244 | + | 0.186441i | |||||
4.01455 | 0.162945 | 0.0814727 | − | 0.996676i | ||||||
0.0814727 | + | 0.996676i | ||||||||
−6.41013 | − | 5.53909i | −0.259965 | − | 0.224640i | |||||
−0.857097 | −0.0347313 | |||||||||
50.7772 | + | 18.4814i | 2.05591 | + | 0.748290i | |||||
5.33497 | + | 30.2561i | 0.215830 | + | 1.22403i | |||||
0.517074 | + | 0.433877i | 0.0209015 | + | 0.0175384i | |||||
−30.8082 | + | 25.8511i | −1.24433 | + | 1.04412i | −0.247157 | + | 0.968976i | ||
−0.997173 | + | 0.0751409i | ||||||||
−1.46657 | + | 8.31731i | −0.0591858 | + | 0.335659i | |||||
10.7306 | − | 18.5859i | 0.432698 | − | 0.749454i | |||||
3.43969 | + | 5.95772i | 0.138589 | + | 0.240043i | |||||
20.8427 | − | 7.58613i | 0.839096 | − | 0.305406i | 0.113509 | − | 0.993537i | ||
0.725586 | + | 0.688131i | ||||||||
5.53596 | − | 2.01492i | 0.222689 | − | 0.0810521i | |||||
11.6177 | + | 20.1224i | 0.466954 | + | 0.808788i | 0.999287 | − | 0.0377469i | ||
−0.532333 | + | 0.846535i | ||||||||
4.34389 | − | 7.52384i | 0.174455 | − | 0.302165i | |||||
−0.528218 | + | 2.99568i | −0.0211967 | + | 0.120212i | |||||
−20.4210 | + | 17.1353i | −0.818809 | + | 0.687062i | |||||
−2.41463 | − | 2.02611i | −0.0967401 | − | 0.0811746i | |||||
3.22803 | + | 18.3070i | 0.129224 | + | 0.732868i | |||||
28.2520 | + | 10.2829i | 1.13008 | + | 0.411315i | |||||
−24.4270 | −0.976298 | |||||||||
−3.54664 | − | 21.9724i | −0.141639 | − | 0.877494i | |||||
2.31315 | 0.0923047 | |||||||||
−11.1518 | − | 4.05893i | −0.444652 | − | 0.161840i | |||||
0.358441 | + | 2.03282i | 0.0142806 | + | 0.0809894i | |||||
21.4893 | + | 18.0317i | 0.855476 | + | 0.717830i | 0.960989 | − | 0.276588i | ||
−0.105512 | + | 0.994418i | ||||||||
20.4008 | − | 17.1183i | 0.811500 | − | 0.680929i | |||||
−4.72193 | + | 26.7794i | −0.187680 | + | 1.06439i | |||||
1.51186 | − | 2.61862i | 0.0600436 | − | 0.103999i | |||||
2.31655 | + | 4.01239i | 0.0919295 | + | 0.159227i | |||||
−3.23143 | + | 1.17614i | −0.128135 | + | 0.0466371i | |||||
25.6523 | − | 9.33667i | 1.01638 | − | 0.369932i | |||||
−6.30066 | − | 10.9131i | −0.249446 | − | 0.432052i | |||||
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5.86571 | − | 33.2661i | 0.231863 | − | 1.31496i | |||||
33.3068 | − | 27.9477i | 1.31554 | − | 1.10387i | 0.328309 | − | 0.944570i | ||
0.987230 | − | 0.159299i | ||||||||
−6.66044 | − | 5.58878i | −0.262867 | − | 0.220571i | |||||
6.83322 | + | 38.7531i | 0.269476 | + | 1.52827i | 0.755980 | + | 0.654595i | ||
−0.486504 | + | 0.873678i | ||||||||
−0.528218 | − | 0.192256i | −0.0208147 | − | 0.00757594i | |||||
−0.448311 | −0.0176522 | |||||||||
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18.8862 | 0.742493 | 0.371246 | − | 0.928534i | ||||||
0.371246 | + | 0.928534i | ||||||||
−2.37939 | − | 0.866025i | −0.0934711 | − | 0.0340207i | |||||
3.38279 | + | 19.1847i | 0.132786 | + | 0.753067i | |||||
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23.3714 | − | 40.4804i | 0.914593 | − | 1.58412i | 0.107098 | − | 0.994248i | ||
0.807495 | − | 0.589874i | ||||||||
1.59833 | + | 2.76838i | 0.0624995 | + | 0.108252i | |||||
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0.928548 | + | 1.60829i | 0.0362261 | + | 0.0627455i | |||||
3.08125 | − | 5.33688i | 0.120120 | − | 0.208053i | |||||
0.362778 | − | 2.05742i | 0.0141318 | − | 0.0801455i | −0.976926 | − | 0.213577i | ||
0.991058 | + | 0.133432i | ||||||||
−3.43969 | + | 2.88624i | −0.133890 | + | 0.112347i | |||||
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−0.809120 | + | 0.587644i | ||||||||
0.222811 | + | 1.26363i | 0.00865980 | + | 0.0491122i | |||||
7.42262 | + | 2.70161i | 0.288271 | + | 0.104922i | |||||
−29.0574 | −1.12764 | |||||||||
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−9.35504 | −0.362500 | |||||||||
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0.204393 | + | 1.15917i | 0.00790820 | + | 0.0448496i | |||||
9.20233 | + | 7.72167i | 0.355783 | + | 0.298537i | |||||
−30.3482 | + | 25.4652i | −1.17245 | + | 0.983806i | |||||
12.3503 | − | 70.0420i | 0.476778 | − | 2.70394i | |||||
0.517074 | − | 0.895599i | 0.0199466 | − | 0.0345485i | |||||
5.41060 | + | 9.37143i | 0.208563 | + | 0.361242i | 0.951262 | − | 0.308383i | ||
−0.742699 | + | 0.669625i | ||||||||
−4.79086 | + | 1.74373i | −0.184537 | + | 0.0671660i | |||||
1.32635 | − | 0.482753i | 0.0510513 | − | 0.0185812i | |||||
−0.610815 | − | 1.05796i | −0.0234929 | − | 0.0406908i | |||||
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0.821068 | + | 0.570830i | ||||||||
1.93582 | − | 10.9786i | 0.0743448 | − | 0.421630i | |||||
−2.77197 | + | 2.32596i | −0.106379 | + | 0.0892623i | |||||
−9.54576 | − | 8.00984i | −0.366063 | − | 0.307163i | |||||
−0.753718 | − | 4.27455i | −0.0288825 | − | 0.163801i | |||||
−72.6250 | − | 26.4333i | −2.78096 | − | 1.01218i | |||||
−44.6441 | −1.70826 | −0.854130 | − | 0.520059i | ||||||
−0.854130 | + | 0.520059i | ||||||||
−1.17365 | + | 0.956154i | −0.0448756 | + | 0.0365595i | |||||
31.9813 | 1.22194 | |||||||||
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−0.572329 | − | 3.24584i | −0.0218357 | − | 0.123837i | |||||
0.620366 | + | 0.520549i | 0.0236512 | + | 0.0198458i | |||||
−30.8273 | + | 25.8672i | −1.17443 | + | 0.985460i | |||||
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−12.1604 | + | 21.0625i | −0.462605 | + | 0.801256i | −0.999090 | − | 0.0426544i | ||
0.536485 | + | 0.843910i | ||||||||
0.280592 | + | 0.486000i | 0.0106665 | + | 0.0184750i | |||||
2.55303 | − | 0.929228i | 0.0969817 | − | 0.0352985i | |||||
5.76991 | − | 2.10008i | 0.219023 | − | 0.0797178i | |||||
−5.12701 | − | 8.88024i | −0.194479 | − | 0.336847i | |||||
2.03936 | − | 3.53228i | 0.0773018 | − | 0.133891i | |||||
−2.86050 | + | 16.2227i | −0.108349 | + | 0.614479i | |||||
32.7478 | − | 27.4787i | 1.23952 | − | 1.04008i | |||||
11.8209 | + | 9.91890i | 0.447107 | + | 0.375167i | |||||
0.0452926 | + | 0.256867i | 0.00171190 | + | 0.00970867i | |||||
22.1386 | + | 8.05780i | 0.836164 | + | 0.304339i | 0.724386 | − | 0.689394i | ||
0.111778 | + | 0.993733i | ||||||||
6.22668 | 0.235011 | |||||||||
13.6407 | − | 22.8545i | 0.514468 | − | 0.861974i | |||||
−31.5057 | −1.18742 | |||||||||
−17.9868 | − | 6.54666i | −0.677422 | − | 0.246561i | |||||
−3.44356 | − | 19.5294i | −0.129600 | − | 0.734999i | |||||
−3.57011 | − | 2.99568i | −0.134268 | − | 0.112664i | |||||
1.01501 | − | 0.851698i | 0.0381466 | − | 0.0320088i | |||||
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0.958147 | + | 0.286276i | ||||||||
−7.41534 | + | 12.8438i | −0.278293 | + | 0.482017i | |||||
−5.25877 | − | 9.10846i | −0.197219 | − | 0.341594i | |||||
14.0954 | − | 5.13030i | 0.528247 | − | 0.192266i | |||||
−28.2396 | + | 10.2784i | −1.05758 | + | 0.384929i | |||||
−0.792204 | − | 1.37214i | −0.0296475 | − | 0.0513509i | |||||
−26.2729 | + | 45.5060i | −0.982551 | + | 1.70183i | |||||
0.127478 | − | 0.722965i | 0.00476408 | − | 0.0270185i | |||||
−12.1211 | + | 10.1708i | −0.452670 | + | 0.379835i | |||||
−13.4342 | − | 11.2727i | −0.501361 | − | 0.420692i | |||||
5.65657 | + | 32.0800i | 0.210955 | + | 1.19638i | 0.887790 | + | 0.460249i | ||
−0.676835 | + | 0.736134i | ||||||||
−10.8833 | − | 3.96118i | −0.405595 | − | 0.147625i | |||||
−2.04601 | −0.0761973 | |||||||||
−4.22147 | − | 28.8020i | −0.157107 | − | 1.07190i | |||||
23.6459 | 0.879400 | |||||||||
−2.85622 | − | 1.03958i | −0.106151 | − | 0.0386356i | |||||
0.394811 | + | 2.23908i | 0.0146629 | + | 0.0831574i | |||||
17.6891 | + | 14.8429i | 0.656505 | + | 0.550873i | |||||
24.6896 | − | 20.7170i | 0.915686 | − | 0.768352i | −0.0575058 | − | 0.998345i | ||
0.973192 | + | 0.229993i | ||||||||
0.950837 | − | 5.39246i | 0.0352404 | − | 0.199858i | |||||
−0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | |||||
3.60220 | + | 6.23919i | 0.133323 | + | 0.230923i | |||||
0.323359 | − | 0.117693i | 0.0119599 | − | 0.00435303i | |||||
−4.54576 | + | 1.65452i | −0.168016 | + | 0.0611529i | |||||
−4.89053 | − | 8.47065i | −0.180636 | − | 0.312870i | 0.761461 | − | 0.648210i | ||
−0.942097 | + | 0.335340i | ||||||||
−21.9099 | + | 37.9490i | −0.808708 | + | 1.40072i | |||||
−2.95336 | + | 16.7494i | −0.108936 | + | 0.617809i | |||||
4.52893 | − | 3.80023i | 0.166939 | − | 0.140078i | |||||
39.9445 | + | 33.5174i | 1.47137 | + | 1.23463i | |||||
2.25490 | + | 12.7882i | 0.0830040 | + | 0.470739i | |||||
−26.0993 | − | 9.49935i | −0.960077 | − | 0.349439i | −0.186013 | − | 0.982547i | ||
−0.774064 | + | 0.633108i | ||||||||
−5.36959 | −0.197390 | |||||||||
−9.07919 | + | 15.2119i | −0.333532 | + | 0.558823i | |||||
8.07192 | 0.296329 | |||||||||
30.3542 | + | 11.0480i | 1.11359 | + | 0.405312i | 0.832308 | − | 0.554314i | ||
0.281278 | + | 0.959626i | ||||||||
−4.34389 | − | 24.6354i | −0.159255 | − | 0.903179i | |||||
−11.7724 | − | 9.87825i | −0.431309 | − | 0.361911i | |||||
14.7483 | − | 12.3753i | 0.539975 | − | 0.453093i | |||||
−1.99273 | + | 11.3013i | −0.0729100 | + | 0.413493i | |||||
1.72328 | − | 2.98481i | 0.0630093 | − | 0.109135i | |||||
1.50980 | + | 2.61505i | 0.0551669 | + | 0.0955519i | |||||
−13.0817 | + | 4.76136i | −0.477677 | + | 0.173860i | |||||
−3.27497 | + | 1.19199i | −0.119505 | + | 0.0434964i | −0.401081 | − | 0.916043i | ||
0.281575 | + | 0.959539i | ||||||||
17.2883 | + | 29.9443i | 0.630441 | + | 1.09196i | |||||
9.70574 | − | 16.8108i | 0.353697 | − | 0.612621i | |||||
−1.74170 | + | 9.87765i | −0.0634288 | + | 0.359723i | |||||
0.315207 | − | 0.264490i | 0.0114716 | − | 0.00962579i | |||||
−0.141559 | − | 0.118782i | −0.00514846 | − | 0.00432007i | |||||
−6.41353 | − | 36.3730i | −0.233104 | − | 1.32200i | −0.846570 | − | 0.532277i | ||
0.613467 | − | 0.789721i | ||||||||
−3.16637 | − | 1.15247i | −0.115008 | − | 0.0418594i | |||||
15.5321 | 0.563779 | |||||||||
21.6668 | − | 17.6517i | 0.785939 | − | 0.640293i | |||||
31.3429 | 1.13618 | 0.568089 | − | 0.822967i | ||||||
0.568089 | + | 0.822967i | ||||||||
−2.63429 | − | 0.958801i | −0.0954301 | − | 0.0347337i | |||||
−0.192782 | − | 1.09332i | −0.00697917 | − | 0.0395808i | |||||
−5.07398 | − | 4.25757i | −0.183570 | − | 0.154034i | |||||
−3.76991 | + | 3.16333i | −0.136302 | + | 0.114371i | |||||
1.57713 | − | 8.94437i | 0.0569841 | − | 0.323173i | |||||
7.75284 | − | 13.4283i | 0.279939 | − | 0.484868i | |||||
4.04916 | + | 7.01336i | 0.146112 | + | 0.253073i | |||||
29.8282 | − | 10.8566i | 1.07563 | − | 0.391498i | 0.257351 | − | 0.966318i | ||
0.818280 | + | 0.574820i | ||||||||
9.90420 | − | 3.60483i | 0.356923 | − | 0.129909i | |||||
6.14796 | + | 10.6486i | 0.221413 | + | 0.383499i | |||||
4.13903 | − | 7.16902i | 0.148967 | − | 0.258019i | |||||
1.90269 | − | 10.7907i | 0.0684351 | − | 0.388115i | −0.931281 | − | 0.364301i | ||
0.999716 | − | 0.0238140i | ||||||||
0.207796 | − | 0.174362i | 0.00746909 | − | 0.00626731i | |||||
10.6821 | + | 8.96335i | 0.383713 | + | 0.321973i | |||||
−2.99020 | − | 16.9583i | −0.107342 | − | 0.608766i | |||||
3.05303 | + | 1.11121i | 0.109527 | + | 0.0398646i | |||||
50.7410 | 1.81915 | |||||||||
−34.5296 | − | 13.1378i | −1.23715 | − | 0.470711i | |||||
3.57398 | 0.127969 | |||||||||
18.3430 | + | 6.67631i | 0.656365 | + | 0.238897i | |||||
−1.57288 | − | 8.92026i | −0.0562462 | − | 0.318988i | |||||
−1.23396 | − | 1.03541i | −0.0440980 | − | 0.0370026i | |||||
23.5351 | − | 19.7483i | 0.840539 | − | 0.705296i | |||||
−2.92855 | + | 16.6086i | −0.104524 | + | 0.592787i | |||||
6.73055 | − | 11.6577i | 0.240071 | − | 0.415815i | |||||
−23.1771 | − | 40.1439i | −0.826175 | − | 1.43098i | −0.901018 | − | 0.433781i | ||
0.0748436 | − | 0.997195i | ||||||||
1.43242 | − | 0.521358i | 0.0510278 | − | 0.0185726i | |||||
5.95811 | − | 2.16858i | 0.212114 | − | 0.0772033i | |||||
−20.4008 | − | 35.3352i | −0.725828 | − | 1.25717i | |||||
−1.93582 | + | 3.35294i | −0.0688299 | + | 0.119217i | |||||
−2.24510 | + | 12.7326i | −0.0797762 | + | 0.452433i | |||||
−43.3658 | + | 36.3882i | −1.53996 | + | 1.29218i | |||||
30.5731 | + | 25.6539i | 1.08500 | + | 0.910422i | |||||
−4.35369 | − | 24.6910i | −0.154410 | − | 0.875700i | |||||
6.53936 | + | 2.38013i | 0.231782 | + | 0.0843616i | |||||
−3.47296 | −0.123019 | −0.0615093 | − | 0.998107i | ||||||
−0.0615093 | + | 0.998107i | ||||||||
3.35638 | − | 1.16679i | 0.118815 | − | 0.0413040i | |||||
14.6922 | 0.519774 | |||||||||
−2.57785 | − | 0.938260i | −0.0911407 | − | 0.0331725i | |||||
−1.02869 | − | 5.83396i | −0.0363468 | − | 0.206133i | |||||
18.7411 | + | 15.7256i | 0.661770 | + | 0.555291i | |||||
7.26399 | − | 6.09521i | 0.256340 | − | 0.215095i | |||||
0.615867 | − | 3.49276i | 0.0217200 | − | 0.123180i | |||||
2.04916 | − | 3.54925i | 0.0722235 | − | 0.125095i | |||||
30.7579 | + | 53.2742i | 1.08340 | + | 1.87650i | |||||
−2.18479 | + | 0.795199i | −0.0769083 | + | 0.0279923i | |||||
20.8405 | − | 7.58532i | 0.733166 | − | 0.266851i | |||||
25.9748 | + | 44.9896i | 0.913224 | + | 1.58175i | 0.809480 | + | 0.587147i | ||
0.103744 | + | 0.994604i | ||||||||
−1.93969 | + | 3.35965i | −0.0681539 | + | 0.118046i | |||||
2.91329 | − | 16.5221i | 0.102299 | − | 0.580168i | −0.889965 | − | 0.456028i | ||
0.992265 | − | 0.124140i | ||||||||
0.228026 | − | 0.191336i | 0.00800214 | − | 0.00671459i | |||||
−11.4474 | − | 9.60554i | −0.401479 | − | 0.336881i | |||||
8.29473 | + | 47.0418i | 0.290730 | + | 1.64881i | |||||
−1.06670 | − | 0.388249i | −0.0373650 | − | 0.0135998i | |||||
8.88981 | 0.311206 | |||||||||
0.122979 | + | 0.761889i | 0.00430249 | + | 0.0266551i | |||||
4.51754 | 0.157952 | |||||||||
−2.03209 | − | 0.739620i | −0.0710069 | − | 0.0258444i | |||||
1.29426 | + | 7.34013i | 0.0451976 | + | 0.256328i | |||||
−28.5330 | − | 23.9420i | −0.995809 | − | 0.835583i | −0.00941101 | − | 0.999956i | ||
−0.986398 | + | 0.164372i | ||||||||
−14.8237 | + | 12.4385i | −0.517035 | + | 0.433844i | |||||
−0.763985 | + | 4.33277i | −0.0266308 | + | 0.151031i | −0.995224 | − | 0.0976214i | ||
0.968593 | + | 0.248652i | ||||||||
4.86824 | − | 8.43204i | 0.169593 | − | 0.293744i | |||||
−3.60354 | − | 6.24152i | −0.125459 | − | 0.217302i | |||||
−2.92262 | + | 1.06375i | −0.101691 | + | 0.0370125i | |||||
13.0265 | − | 4.74125i | 0.452975 | − | 0.164869i | −0.105450 | − | 0.994425i | ||
0.558424 | + | 0.829555i | ||||||||
−0.528218 | − | 0.914901i | −0.0183569 | − | 0.0317950i | |||||
−8.18850 | + | 14.1829i | −0.284398 | + | 0.492592i | −0.972463 | − | 0.233057i | ||
0.688065 | + | 0.725649i | ||||||||
−7.73055 | + | 43.8421i | −0.268331 | + | 1.52178i | |||||
18.3589 | − | 15.4050i | 0.636863 | − | 0.534392i | |||||
19.2101 | + | 16.1192i | 0.665989 | + | 0.558832i | |||||
−2.26692 | − | 12.8564i | −0.0785442 | − | 0.445446i | |||||
5.83022 | + | 2.12203i | 0.201884 | + | 0.0734798i | |||||
−8.58172 | −0.296983 | |||||||||
5.84864 | + | 5.05390i | 0.202279 | + | 0.174793i | |||||
−9.87939 | −0.341482 | |||||||||
−48.2242 | − | 17.5522i | −1.66588 | − | 0.606330i | |||||
−6.64883 | − | 37.7074i | −0.229543 | − | 1.30180i | −0.853807 | − | 0.520590i | ||
0.624263 | − | 0.781214i | ||||||||
2.61334 | + | 2.19285i | 0.0901688 | + | 0.0756606i | |||||
−20.2276 | + | 16.9730i | −0.697504 | + | 0.585275i | |||||
−4.79355 | + | 27.1856i | −0.165197 | + | 0.936876i | |||||
12.7802 | − | 22.1359i | 0.440173 | − | 0.762402i | |||||
−4.72193 | − | 8.17863i | −0.162536 | − | 0.281520i | |||||
8.36959 | − | 3.04628i | 0.287922 | − | 0.104795i | |||||
10.8833 | − | 3.96118i | 0.374174 | − | 0.136188i | |||||
−4.00980 | − | 6.94518i | −0.137778 | − | 0.238639i | |||||
−22.6450 | + | 39.2223i | −0.777633 | + | 1.34690i | |||||
1.30423 | − | 7.39663i | 0.0447609 | − | 0.253852i | |||||
−3.21966 | + | 2.70161i | −0.110433 | + | 0.0926645i | |||||
14.2285 | + | 11.9391i | 0.487746 | + | 0.409268i | |||||
−0.230552 | − | 1.30753i | −0.00789858 | − | 0.0447951i | |||||
−20.7579 | − | 7.55526i | −0.710737 | − | 0.258687i | −0.0387487 | − | 0.999249i | ||
−0.671988 | + | 0.740562i | ||||||||
11.3550 | 0.388561 | |||||||||
−5.37939 | − | 9.63744i | −0.183971 | − | 0.329593i | |||||
−14.3696 | −0.491142 | |||||||||
−42.2934 | − | 15.3936i | −1.44472 | − | 0.525834i | −0.503606 | − | 0.863933i | ||
−0.941110 | + | 0.338100i | ||||||||
−5.52094 | − | 31.3108i | −0.188482 | − | 1.06893i | |||||
−12.2358 | − | 10.2670i | −0.417479 | − | 0.350306i | 0.409724 | − | 0.912209i | ||
−0.827203 | + | 0.561903i | ||||||||
0.119271 | − | 0.100080i | 0.00406709 | − | 0.00341270i | |||||
0.783119 | − | 4.44129i | 0.0266886 | − | 0.151359i | |||||
16.3327 | − | 28.2892i | 0.556296 | − | 0.963532i | |||||
−20.6288 | − | 35.7302i | −0.702213 | − | 1.21627i | −0.967688 | − | 0.252151i | ||
0.265475 | − | 0.964118i | ||||||||
1.82635 | − | 0.664738i | 0.0621338 | − | 0.0226148i | |||||
−3.84477 | + | 1.39938i | −0.130726 | + | 0.0475804i | |||||
−16.8931 | − | 29.2596i | −0.574049 | − | 0.994283i | |||||
−6.61128 | + | 11.4511i | −0.224531 | + | 0.388899i | |||||
0.317018 | − | 1.79790i | 0.0107603 | − | 0.0610247i | |||||
−41.1391 | + | 34.5198i | −1.39555 | + | 1.17100i | |||||
−4.78699 | − | 4.01676i | −0.162294 | − | 0.136181i | |||||
−7.20708 | − | 40.8734i | −0.244203 | − | 1.38494i | |||||
4.96451 | + | 1.80693i | 0.168119 | + | 0.0611905i | |||||
−6.80066 | −0.230167 | |||||||||
20.3123 | + | 0.294553i | 0.687073 | + | 0.00996340i | |||||
4.83481 | 0.163446 | |||||||||
−0.606067 | − | 0.220590i | −0.0204771 | − | 0.00745306i | |||||
8.01650 | + | 45.4638i | 0.270698 | + | 1.53520i | 0.752304 | + | 0.658817i | ||
−0.481606 | + | 0.876388i | ||||||||
3.97494 | + | 3.33537i | 0.134148 | + | 0.112563i | |||||
−11.3118 | + | 9.49173i | −0.381538 | + | 0.320148i | |||||
−10.2690 | + | 58.2386i | −0.346169 | + | 1.96322i | |||||
−9.47906 | + | 16.4182i | −0.319357 | + | 0.553143i | −0.980354 | − | 0.197245i | ||
0.660997 | + | 0.750389i | ||||||||
−5.14543 | − | 8.91215i | −0.173256 | − | 0.300088i | |||||
−32.9359 | + | 11.9877i | −1.10838 | + | 0.403418i | −0.830399 | − | 0.557169i | ||
−0.277981 | + | 0.960586i | ||||||||
−2.57785 | + | 0.938260i | −0.0867024 | + | 0.0315571i | |||||
4.83022 | + | 8.36619i | 0.162366 | + | 0.281226i | |||||
−23.1072 | + | 40.0229i | −0.776303 | + | 1.34460i | |||||
−3.09745 | + | 17.5665i | −0.104002 | + | 0.589825i | 0.887612 | + | 0.460592i | ||
−0.991614 | + | 0.129234i | ||||||||
−11.8439 | + | 9.93821i | −0.397455 | + | 0.333504i | |||||
0.745815 | + | 0.625813i | 0.0250138 | + | 0.0209891i | |||||
−3.99067 | − | 22.6322i | −0.133767 | − | 0.758633i | |||||
4.79813 | + | 1.74638i | 0.160744 | + | 0.0585059i | |||||
−4.17200 | −0.139689 | |||||||||
−6.19176 | + | 32.3638i | −0.207199 | + | 1.08301i | |||||
9.29860 | 0.310992 | |||||||||
5.02956 | + | 1.83061i | 0.168120 | + | 0.0611906i | |||||
−1.23261 | − | 6.99049i | −0.0411787 | − | 0.233536i | |||||
−9.47044 | − | 7.94664i | −0.316209 | − | 0.265331i | |||||
36.2796 | − | 30.4422i | 1.21066 | − | 1.01587i | |||||
2.76341 | − | 15.6721i | 0.0921650 | − | 0.522693i | |||||
−0.245100 | + | 0.424525i | −0.00817000 | + | 0.0141508i | |||||
9.62226 | + | 16.6662i | 0.320564 | + | 0.555233i | |||||
62.3059 | − | 22.6775i | 2.07456 | − | 0.755078i | |||||
−0.0885259 | + | 0.0322208i | −0.00294596 | + | 0.00107224i | |||||
−9.21213 | − | 15.9559i | −0.306391 | − | 0.530685i | |||||
11.0804 | − | 19.1918i | 0.368324 | − | 0.637956i | |||||
−0.0432332 | + | 0.245188i | −0.00143633 | + | 0.00814582i | |||||
−10.9172 | + | 9.16058i | −0.362498 | + | 0.304172i | −0.805786 | − | 0.592207i | ||
0.443287 | + | 0.896380i | ||||||||
1.15476 | + | 0.968961i | 0.0383222 | + | 0.0321561i | |||||
−1.52094 | − | 8.62571i | −0.0504465 | − | 0.286097i | |||||
−7.88326 | − | 2.86927i | −0.261327 | − | 0.0951154i | |||||
−16.4466 | −0.544899 | −0.272449 | − | 0.962170i | ||||||
−0.272449 | + | 0.962170i | ||||||||
−3.74644 | + | 19.5823i | −0.124057 | + | 0.648436i | |||||
58.5954 | 1.93923 | |||||||||
−56.2169 | − | 20.4613i | −1.85949 | − | 0.676799i | |||||
−6.12449 | − | 34.7337i | −0.202469 | − | 1.14826i | |||||
0.876859 | + | 0.735772i | 0.0289722 | + | 0.0243106i | |||||
−3.58125 | + | 3.00503i | −0.118263 | + | 0.0992347i | |||||
0.517074 | − | 2.93247i | 0.0170660 | − | 0.0967860i | |||||
16.9500 | − | 29.3582i | 0.559128 | − | 0.968437i | −0.438442 | − | 0.898760i | ||
0.997570 | − | 0.0696779i | ||||||||
9.75150 | + | 16.8901i | 0.321497 | + | 0.556850i | |||||
5.18004 | − | 1.88538i | 0.170688 | − | 0.0621255i | |||||
−2.17024 | + | 0.789904i | −0.0714732 | + | 0.0260141i | |||||
−7.76857 | − | 13.4556i | −0.255706 | − | 0.442895i | |||||
−0.471782 | + | 0.817150i | −0.0155205 | + | 0.0268822i | |||||
1.49660 | − | 8.48762i | 0.0492078 | − | 0.279071i | |||||
3.85323 | − | 3.23324i | 0.126625 | − | 0.106251i | |||||
−2.94562 | − | 2.47167i | −0.0967469 | − | 0.0811803i | |||||
0.543644 | + | 3.08316i | 0.0178460 | + | 0.101210i | |||||
−20.2358 | − | 7.36522i | −0.663914 | − | 0.241645i | −0.0119887 | − | 0.999928i | ||
−0.651925 | + | 0.758283i | ||||||||
−38.3259 | −1.25676 | |||||||||
29.2751 | + | 0.424525i | 0.959454 | + | 0.0139133i | |||||
−5.35916 | −0.175545 | |||||||||
16.3503 | + | 5.95102i | 0.535284 | + | 0.194828i | |||||
6.08899 | + | 34.5324i | 0.199238 | + | 1.12993i | |||||
19.2494 | + | 16.1522i | 0.629524 | + | 0.528233i | |||||
7.88326 | − | 6.61484i | 0.257672 | − | 0.216213i | |||||
1.31386 | − | 7.45129i | 0.0429220 | − | 0.243423i | −0.955797 | − | 0.294028i | ||
0.998719 | + | 0.0506054i | ||||||||
−4.16250 | + | 7.20967i | −0.135911 | + | 0.235404i | |||||
7.97178 | + | 13.8075i | 0.260149 | + | 0.450592i | |||||
6.24675 | − | 2.27363i | 0.203746 | − | 0.0741577i | |||||
−17.9740 | + | 6.54200i | −0.585936 | + | 0.213263i | −0.617941 | − | 0.786225i | ||
0.0320052 | + | 0.999488i | ||||||||
−5.10220 | − | 8.83726i | −0.166239 | − | 0.287934i | |||||
12.8910 | − | 22.3279i | 0.419789 | − | 0.727095i | |||||
3.03028 | − | 17.1856i | 0.0986271 | − | 0.559342i | |||||
1.03209 | − | 0.866025i | 0.0335739 | − | 0.0281718i | |||||
−1.06102 | − | 0.890304i | −0.0344968 | − | 0.0289463i | |||||
10.4549 | + | 59.2925i | 0.339738 | + | 1.92675i | 0.374214 | + | 0.927342i | ||
−0.0344768 | + | 0.999405i | ||||||||
3.43242 | + | 1.24930i | 0.111480 | + | 0.0405753i | |||||
−7.54757 | −0.245005 | |||||||||
−4.59421 | − | 8.23075i | −0.149056 | − | 0.267041i | |||||
−1.97359 | −0.0639981 | |||||||||
−2.46064 | − | 0.895599i | −0.0797497 | − | 0.0290265i | |||||
−3.42918 | − | 19.4478i | −0.111082 | − | 0.629977i | −0.988616 | − | 0.150462i | ||
0.877534 | − | 0.479515i | ||||||||
11.6211 | + | 9.75125i | 0.376246 | + | 0.315708i | |||||
36.9937 | − | 31.0414i | 1.19709 | − | 1.00448i | |||||
0.954241 | − | 5.41177i | 0.0308623 | − | 0.175029i | |||||
−4.11246 | + | 7.12300i | −0.132937 | + | 0.230254i | |||||
−7.39827 | − | 12.8142i | −0.239027 | − | 0.414007i | |||||
6.31521 | − | 2.29855i | 0.203929 | − | 0.0742240i | |||||
−14.6814 | + | 5.34359i | −0.473840 | + | 0.172464i | |||||
−33.3011 | − | 57.6792i | −1.07423 | − | 1.86062i | |||||
19.0103 | − | 32.9267i | 0.612916 | − | 1.06160i | |||||
−0.985452 | + | 5.58878i | −0.0317557 | + | 0.180096i | |||||
−6.29086 | + | 5.27866i | −0.202615 | + | 0.170014i | |||||
46.2340 | + | 38.7949i | 1.48833 | + | 1.24885i | |||||
0.430608 | + | 2.44210i | 0.0138546 | + | 0.0785732i | |||||
4.85679 | + | 1.76773i | 0.156184 | + | 0.0568463i | 0.418929 | − | 0.908019i | ||
−0.262745 | + | 0.964865i | ||||||||
38.1634 | 1.22662 | |||||||||
6.41013 | + | 5.53909i | 0.205923 | + | 0.177941i | |||||
−26.3824 | −0.847087 | |||||||||
8.22967 | + | 2.99536i | 0.264103 | + | 0.0961256i | 0.470678 | − | 0.882305i | ||
−0.206575 | + | 0.978431i | ||||||||
−0.0603074 | − | 0.342020i | −0.00193436 | − | 0.0109703i | |||||
−1.65064 | − | 1.38505i | −0.0529172 | − | 0.0444028i | |||||
26.4197 | − | 22.1687i | 0.846541 | − | 0.710332i | |||||
−0.996130 | + | 5.64933i | −0.0319017 | + | 0.180923i | |||||
−31.8555 | + | 55.1754i | −1.01967 | + | 1.76612i | |||||
−20.3640 | − | 35.2714i | −0.651501 | − | 1.12843i | −0.982759 | − | 0.184892i | ||
0.331258 | − | 0.943540i | ||||||||
0.645430 | − | 0.234917i | 0.0206386 | − | 0.00751182i | |||||
−28.4240 | + | 10.3455i | −0.908434 | + | 0.330643i | |||||
−2.95336 | − | 5.11538i | −0.0943417 | − | 0.163405i | |||||
1.04323 | − | 1.80693i | 0.0333079 | − | 0.0576909i | |||||
−1.93448 | + | 10.9710i | −0.0617317 | + | 0.350098i | |||||
3.02616 | − | 2.53925i | 0.0965195 | − | 0.0809895i | −0.593251 | − | 0.805018i | ||
0.689771 | + | 0.724028i | ||||||||
16.4402 | + | 13.7949i | 0.524093 | + | 0.439766i | |||||
1.92989 | + | 10.9450i | 0.0614915 | + | 0.348736i | |||||
4.50727 | + | 1.64051i | 0.143541 | + | 0.0522446i | |||||
−4.02229 | −0.128031 | |||||||||
−0.980400 | − | 6.07386i | −0.0311907 | − | 0.193235i | |||||
−0.538572 | −0.0171256 | |||||||||
18.6138 | + | 6.77487i | 0.591586 | + | 0.215320i | |||||
−3.22328 | − | 18.2801i | −0.102391 | − | 0.580687i | −0.992230 | − | 0.124414i | ||
0.889840 | − | 0.456273i | ||||||||
14.7090 | + | 12.3423i | 0.467011 | + | 0.391868i | |||||
0.641559 | − | 0.538332i | 0.0203593 | − | 0.0170835i | |||||
−0.541174 | + | 3.06915i | −0.0171650 | + | 0.0973475i | |||||
−25.3687 | + | 43.9399i | −0.804242 | + | 1.39299i | |||||
−1.99273 | − | 3.45150i | −0.0631419 | − | 0.109365i | |||||
−2.57398 | + | 0.936851i | −0.0815187 | + | 0.0296704i | −0.382458 | − | 0.923973i | ||
0.300939 | + | 0.953643i | ||||||||
−18.4440 | + | 6.71308i | −0.583836 | + | 0.212499i | |||||
3.05303 | + | 5.28801i | 0.0965937 | + | 0.167305i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 57.2.i.a.4.1 | ✓ | 6 | |
3.2 | odd | 2 | 171.2.u.a.118.1 | 6 | |||
4.3 | odd | 2 | 912.2.bo.b.289.1 | 6 | |||
19.5 | even | 9 | inner | 57.2.i.a.43.1 | yes | 6 | |
19.9 | even | 9 | 1083.2.a.m.1.1 | 3 | |||
19.10 | odd | 18 | 1083.2.a.n.1.3 | 3 | |||
57.5 | odd | 18 | 171.2.u.a.100.1 | 6 | |||
57.29 | even | 18 | 3249.2.a.x.1.1 | 3 | |||
57.47 | odd | 18 | 3249.2.a.w.1.3 | 3 | |||
76.43 | odd | 18 | 912.2.bo.b.385.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.2.i.a.4.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
57.2.i.a.43.1 | yes | 6 | 19.5 | even | 9 | inner | |
171.2.u.a.100.1 | 6 | 57.5 | odd | 18 | |||
171.2.u.a.118.1 | 6 | 3.2 | odd | 2 | |||
912.2.bo.b.289.1 | 6 | 4.3 | odd | 2 | |||
912.2.bo.b.385.1 | 6 | 76.43 | odd | 18 | |||
1083.2.a.m.1.1 | 3 | 19.9 | even | 9 | |||
1083.2.a.n.1.3 | 3 | 19.10 | odd | 18 | |||
3249.2.a.w.1.3 | 3 | 57.47 | odd | 18 | |||
3249.2.a.x.1.1 | 3 | 57.29 | even | 18 |