Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(491,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.491");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 637.q (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: | 12.0.58891012706304.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: |
Embedding invariants
Embedding label | 491.2 | ||
Root | of defining polynomial | ||
Character | 637.491 | ||
Dual form | 637.2.q.h.589.2 |
-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 .
−1.20027 | + | 0.692976i | −0.848719 | + | 0.490008i | −0.860218 | − | 0.509926i | ||
0.0114993 | + | 0.999934i | ||||||||
−1.41289 | − | 2.44719i | −0.815731 | − | 1.41289i | −0.908802 | − | 0.417228i | ||
0.0930713 | − | 0.995659i | ||||||||
−0.0395678 | + | 0.0685334i | −0.0197839 | + | 0.0342667i | |||||
0.518957i | 0.232085i | 0.993244 | + | 0.116042i | ||||||
−0.993244 | + | 0.116042i | ||||||||
3.39169 | + | 1.95819i | 1.38465 | + | 0.799429i | |||||
0 | 0 | |||||||||
− | 2.88158i | − | 1.01879i | |||||||
−2.49250 | + | 4.31714i | −0.830833 | + | 1.43905i | |||||
−0.359625 | − | 0.622889i | −0.113723 | − | 0.196975i | |||||
1.40656 | − | 0.812080i | 0.424095 | − | 0.244851i | −0.272733 | − | 0.962090i | ||
0.696828 | + | 0.717239i | ||||||||
0.223619 | 0.0645533 | |||||||||
−1.42641 | − | 3.31140i | −0.395616 | − | 0.918416i | |||||
0 | 0 | |||||||||
1.26999 | − | 0.733228i | 0.327909 | − | 0.189319i | |||||
1.91773 | + | 3.32161i | 0.479433 | + | 0.830403i | |||||
−0.974127 | + | 1.68724i | −0.236260 | + | 0.409215i | −0.959638 | − | 0.281237i | ||
0.723378 | + | 0.690452i | ||||||||
− | 6.90897i | − | 1.62846i | |||||||
−2.15740 | − | 1.24558i | −0.494942 | − | 0.285755i | 0.231680 | − | 0.972792i | ||
−0.726622 | + | 0.687037i | ||||||||
−0.0355659 | − | 0.0205340i | −0.00795277 | − | 0.00459154i | |||||
0 | 0 | |||||||||
−1.12550 | + | 1.94943i | −0.239958 | + | 0.415620i | |||||
−4.57029 | − | 7.91598i | −0.952971 | − | 1.65059i | −0.738943 | − | 0.673767i | ||
−0.214028 | − | 0.976828i | ||||||||
−7.05179 | + | 4.07135i | −1.43944 | + | 0.831061i | |||||
4.73068 | 0.946137 | |||||||||
4.00680 | + | 2.98610i | 0.785798 | + | 0.585622i | |||||
5.60916 | 1.07948 | |||||||||
0 | 0 | |||||||||
2.61498 | + | 4.52928i | 0.485589 | + | 0.841065i | 0.999863 | − | 0.0165608i | ||
−0.514274 | + | 0.857626i | ||||||||
−1.01622 | + | 1.76014i | −0.185535 | + | 0.321357i | |||||
5.79391i | 1.04062i | 0.853978 | + | 0.520308i | ||||||
−0.853978 | + | 0.520308i | ||||||||
0.387453 | + | 0.223696i | 0.0684926 | + | 0.0395442i | |||||
−3.97463 | − | 2.29475i | −0.691894 | − | 0.399465i | |||||
− | 2.70019i | − | 0.463078i | |||||||
0 | 0 | |||||||||
−0.197245 | − | 0.341639i | −0.0328742 | − | 0.0569398i | |||||
−8.85879 | + | 5.11463i | −1.45638 | + | 0.840840i | −0.998831 | − | 0.0483462i | ||
−0.457546 | + | 0.889186i | ||||||||
3.45262 | 0.560089 | |||||||||
−6.08826 | + | 8.16934i | −0.974902 | + | 1.30814i | |||||
1.49542 | 0.236446 | |||||||||
−3.64513 | + | 2.10452i | −0.569273 | + | 0.328670i | −0.756859 | − | 0.653578i | ||
0.187586 | + | 0.982248i | ||||||||
0 | 0 | |||||||||
−0.498655 | + | 0.863697i | −0.0760442 | + | 0.131712i | −0.901540 | − | 0.432696i | ||
0.825496 | + | 0.564408i | ||||||||
0.128529i | 0.0193764i | |||||||||
−2.24041 | − | 1.29350i | −0.333980 | − | 0.192824i | |||||
10.9712 | + | 6.33421i | 1.61761 | + | 0.933928i | |||||
4.51725i | 0.658909i | 0.944171 | + | 0.329455i | ||||||
−0.944171 | + | 0.329455i | ||||||||
5.41908 | − | 9.38612i | 0.782177 | − | 1.35477i | |||||
0 | 0 | |||||||||
−5.67810 | + | 3.27825i | −0.803004 | + | 0.463615i | |||||
5.50532 | 0.770899 | |||||||||
0.283381 | + | 0.0332676i | 0.0392979 | + | 0.00461339i | |||||
−8.89651 | −1.22203 | −0.611015 | − | 0.791619i | ||||||
−0.611015 | + | 0.791619i | ||||||||
−6.73251 | + | 3.88701i | −0.916178 | + | 0.528956i | |||||
0.421434 | + | 0.729946i | 0.0568262 | + | 0.0984259i | |||||
0 | 0 | |||||||||
7.03944i | 0.932397i | |||||||||
−6.27736 | − | 3.62424i | −0.824258 | − | 0.475886i | |||||
5.37392 | + | 3.10263i | 0.699624 | + | 0.403928i | 0.807207 | − | 0.590268i | ||
−0.107583 | + | 0.994196i | ||||||||
0.116049i | 0.0149818i | |||||||||
−6.73536 | + | 11.6660i | −0.862375 | + | 1.49368i | 0.00725571 | + | 0.999974i | ||
−0.869630 | + | 0.493703i | ||||||||
−4.01504 | − | 6.95426i | −0.509911 | − | 0.883191i | |||||
0 | 0 | |||||||||
−8.29100 | −1.03637 | |||||||||
1.71847 | − | 0.740247i | 0.213150 | − | 0.0918164i | |||||
6.36084 | 0.782965 | |||||||||
−7.25094 | + | 4.18633i | −0.885843 | + | 0.511442i | −0.872580 | − | 0.488470i | ||
−0.0132624 | + | 0.999912i | ||||||||
−0.0770880 | − | 0.133520i | −0.00934830 | − | 0.0161917i | |||||
−12.9146 | + | 22.3688i | −1.55474 | + | 2.69288i | |||||
0 | 0 | |||||||||
−4.50168 | − | 2.59905i | −0.534251 | − | 0.308450i | 0.208495 | − | 0.978023i | ||
−0.742746 | + | 0.669573i | ||||||||
12.4402 | + | 7.18234i | 1.46609 | + | 0.846447i | |||||
11.8395i | 1.38571i | 0.721076 | + | 0.692856i | ||||||
−0.721076 | + | 0.692856i | ||||||||
7.08863 | − | 12.2779i | 0.824037 | − | 1.42727i | |||||
−6.68392 | − | 11.5769i | −0.771793 | − | 1.33678i | |||||
0.170727 | − | 0.0985694i | 0.0195838 | − | 0.0113067i | |||||
0 | 0 | |||||||||
1.64640 | − | 14.0244i | 0.186418 | − | 1.58795i | |||||
0.982310 | 0.110518 | 0.0552592 | − | 0.998472i | ||||||
0.0552592 | + | 0.998472i | ||||||||
−1.72377 | + | 0.995221i | −0.192724 | + | 0.111269i | |||||
−0.447609 | − | 0.775281i | −0.0497343 | − | 0.0861423i | |||||
2.91676 | − | 5.05197i | 0.322102 | − | 0.557897i | |||||
− | 8.91851i | − | 0.978934i | −0.872022 | − | 0.489467i | ||||
0.872022 | − | 0.489467i | ||||||||
0 | 0 | |||||||||
−0.875603 | − | 0.505530i | −0.0949725 | − | 0.0548324i | |||||
− | 1.38223i | − | 0.149049i | |||||||
7.38934 | − | 12.7987i | 0.792220 | − | 1.37217i | |||||
−2.34008 | − | 4.05313i | −0.249453 | − | 0.432065i | |||||
10.4087 | − | 6.00949i | 1.10332 | − | 0.637005i | 0.166233 | − | 0.986087i | ||
0.937092 | + | 0.349082i | ||||||||
3.58546 | 0.377941 | |||||||||
0 | 0 | |||||||||
0.723345 | 0.0754139 | |||||||||
14.1788 | − | 8.18614i | 1.47027 | − | 0.848863i | |||||
−3.13035 | − | 5.42193i | −0.322871 | − | 0.559229i | |||||
0.646401 | − | 1.11960i | 0.0663194 | − | 0.114869i | |||||
− | 1.26423i | − | 0.129030i | |||||||
−3.82981 | − | 2.21114i | −0.388858 | − | 0.224507i | 0.292807 | − | 0.956172i | ||
−0.681665 | + | 0.731664i | ||||||||
0 | 0 | |||||||||
8.09643i | 0.813722i | |||||||||
−0.187183 | + | 0.324210i | −0.0187183 | + | 0.0324210i | |||||
−9.15132 | − | 15.8506i | −0.910591 | − | 1.57719i | −0.813231 | − | 0.581940i | ||
−0.0973594 | − | 0.995249i | ||||||||
−6.60787 | + | 3.81506i | −0.654277 | + | 0.377747i | |||||
5.02046 | 0.494680 | 0.247340 | − | 0.968929i | ||||||
0.247340 | + | 0.968929i | ||||||||
−9.54206 | + | 4.11033i | −0.935676 | + | 0.403051i | |||||
0 | 0 | |||||||||
10.6782 | − | 6.16507i | 1.03716 | − | 0.598804i | |||||
−3.07228 | − | 5.32134i | −0.297008 | − | 0.514434i | 0.678442 | − | 0.734654i | ||
−0.975450 | + | 0.220221i | ||||||||
−0.221942 | + | 0.384415i | −0.0213564 | + | 0.0369903i | |||||
− | 11.8962i | − | 1.13945i | −0.821834 | − | 0.569727i | ||||
0.821834 | − | 0.569727i | ||||||||
−1.01167 | − | 0.584088i | −0.0964590 | − | 0.0556906i | |||||
25.0330 | + | 14.4528i | 2.37602 | + | 1.37180i | |||||
0 | 0 | |||||||||
−1.77806 | + | 3.07969i | −0.167266 | + | 0.289713i | −0.937458 | − | 0.348099i | ||
0.770192 | + | 0.637812i | ||||||||
−4.87817 | − | 8.44923i | −0.456882 | − | 0.791343i | |||||
4.10805 | − | 2.37178i | 0.383078 | − | 0.221170i | |||||
−0.413875 | −0.0384274 | |||||||||
17.8511 | + | 2.09563i | 1.65033 | + | 0.193741i | |||||
−8.60020 | −0.791713 | |||||||||
0 | 0 | |||||||||
−2.11286 | − | 3.65957i | −0.192877 | − | 0.334072i | |||||
−4.18105 | + | 7.24180i | −0.380096 | + | 0.658345i | |||||
− | 18.6698i | − | 1.69028i | |||||||
10.3003 | + | 5.94689i | 0.928748 | + | 0.536213i | |||||
−0.397076 | − | 0.229252i | −0.0356585 | − | 0.0205874i | |||||
5.04981i | 0.451668i | |||||||||
0 | 0 | |||||||||
−0.711749 | − | 1.23279i | −0.0631575 | − | 0.109392i | 0.832718 | − | 0.553698i | ||
−0.895875 | + | 0.444306i | ||||||||
9.17653 | − | 5.29807i | 0.811098 | − | 0.468288i | |||||
2.81818 | 0.248127 | |||||||||
−1.54966 | + | 2.07936i | −0.135914 | + | 0.182372i | |||||
−8.67374 | −0.757828 | −0.378914 | − | 0.925432i | ||||||
−0.378914 | + | 0.925432i | ||||||||
0.314535 | − | 0.181597i | 0.0273767 | − | 0.0158060i | |||||
0 | 0 | |||||||||
5.80205 | − | 10.0495i | 0.501221 | − | 0.868141i | |||||
2.91091i | 0.250531i | |||||||||
4.86191 | + | 2.80703i | 0.416906 | + | 0.240701i | |||||
7.37667 | + | 4.25892i | 0.630231 | + | 0.363864i | 0.780842 | − | 0.624729i | ||
−0.150611 | + | 0.988593i | ||||||||
− | 35.7981i | − | 3.04733i | |||||||
−2.51922 | + | 4.36342i | −0.213677 | + | 0.370100i | −0.952863 | − | 0.303402i | ||
0.739185 | + | 0.673502i | ||||||||
0 | 0 | |||||||||
11.0546 | − | 6.38237i | 0.930964 | − | 0.537493i | |||||
7.20431 | 0.604572 | |||||||||
−4.69546 | − | 3.49933i | −0.392654 | − | 0.292628i | |||||
−19.1198 | −1.59332 | |||||||||
−2.35050 | + | 1.35706i | −0.195198 | + | 0.112698i | |||||
−8.20451 | − | 14.2106i | −0.679010 | − | 1.17608i | |||||
0 | 0 | |||||||||
− | 0.809498i | − | 0.0665403i | |||||||
2.91409 | + | 1.68245i | 0.238732 | + | 0.137832i | 0.614594 | − | 0.788844i | ||
−0.375862 | + | 0.926676i | ||||||||
16.0450 | + | 9.26360i | 1.31007 | + | 0.756370i | |||||
12.6566i | 1.02998i | 0.857196 | + | 0.514991i | ||||||
−0.857196 | + | 0.514991i | ||||||||
−3.58924 | + | 6.21674i | −0.291125 | + | 0.504244i | |||||
−4.85602 | − | 8.41087i | −0.392586 | − | 0.679979i | |||||
0 | 0 | |||||||||
−3.00679 | −0.241511 | |||||||||
−0.318973 | − | 0.740492i | −0.0255383 | − | 0.0592868i | |||||
−10.3691 | −0.827547 | −0.413773 | − | 0.910380i | ||||||
−0.413773 | + | 0.910380i | ||||||||
−1.17904 | + | 0.680717i | −0.0937992 | + | 0.0541550i | |||||
12.5698 | + | 21.7715i | 0.996847 | + | 1.72659i | |||||
−0.116089 | + | 0.201071i | −0.00917761 | + | 0.0158961i | |||||
0 | 0 | |||||||||
1.07450 | + | 0.620364i | 0.0844209 | + | 0.0487404i | |||||
13.6428 | + | 7.87669i | 1.06859 | + | 0.616950i | 0.927796 | − | 0.373089i | ||
0.140794 | + | 0.990039i | ||||||||
− | 0.333084i | − | 0.0260095i | |||||||
1.19088 | − | 2.06266i | 0.0927098 | − | 0.160578i | |||||
6.18032 | + | 10.7046i | 0.479686 | + | 0.830840i | |||||
14.2016 | − | 8.19930i | 1.09895 | − | 0.634481i | 0.163007 | − | 0.986625i | ||
0.935946 | + | 0.352144i | ||||||||
0 | 0 | |||||||||
−8.93069 | + | 9.44684i | −0.686976 | + | 0.726680i | |||||
1.40128 | 0.107473 | |||||||||
10.7547 | − | 6.20920i | 0.822429 | − | 0.474830i | |||||
−0.0394614 | − | 0.0683491i | −0.00300890 | − | 0.00521157i | |||||
0.150677 | − | 0.260981i | 0.0114558 | − | 0.0198420i | −0.860241 | − | 0.509888i | ||
0.871696 | + | 0.490046i | ||||||||
20.4825i | 1.55278i | |||||||||
0 | 0 | |||||||||
5.39483 | + | 3.11470i | 0.406650 | + | 0.234780i | |||||
− | 17.5347i | − | 1.31799i | |||||||
−8.32887 | + | 14.4260i | −0.624275 | + | 1.08128i | |||||
−4.90791 | − | 8.50075i | −0.366834 | − | 0.635376i | 0.622234 | − | 0.782831i | ||
−0.989069 | + | 0.147455i | ||||||||
0.177296 | − | 0.102362i | 0.0132149 | − | 0.00762960i | |||||
−12.4320 | −0.924062 | −0.462031 | − | 0.886864i | ||||||
−0.462031 | + | 0.886864i | ||||||||
0 | 0 | |||||||||
38.0652 | 2.81386 | |||||||||
−22.8105 | + | 13.1697i | −1.68162 | + | 0.970881i | |||||
−2.65427 | − | 4.59733i | −0.195146 | − | 0.338003i | |||||
−11.3456 | + | 19.6512i | −0.831900 | + | 1.44089i | |||||
3.16427i | 0.231395i | |||||||||
−0.309583 | − | 0.178738i | −0.0225786 | − | 0.0130358i | |||||
0 | 0 | |||||||||
1.79176i | 0.129988i | |||||||||
6.12346 | − | 10.6061i | 0.443078 | − | 0.767434i | −0.554838 | − | 0.831958i | ||
0.997916 | + | 0.0645248i | ||||||||
11.7142 | + | 20.2897i | 0.845403 | + | 1.46428i | |||||
−10.0752 | + | 5.81692i | −0.725229 | + | 0.418711i | −0.816674 | − | 0.577099i | ||
0.0914452 | + | 0.995810i | ||||||||
6.12908 | 0.440042 | |||||||||
−4.23953 | − | 3.15955i | −0.303599 | − | 0.226260i | |||||
0 | 0 | |||||||||
−1.55984 | + | 0.900572i | −0.111134 | + | 0.0641631i | −0.554537 | − | 0.832159i | ||
0.443403 | + | 0.896322i | ||||||||
−5.61064 | − | 9.71791i | −0.398731 | − | 0.690622i | |||||
−3.29657 | + | 5.70982i | −0.233687 | + | 0.404759i | −0.958890 | − | 0.283777i | ||
0.725203 | + | 0.688535i | ||||||||
− | 13.6319i | − | 0.963918i | |||||||
20.4895 | + | 11.8296i | 1.44522 | + | 0.834397i | |||||
21.9681 | + | 12.6833i | 1.54567 | + | 0.892394i | |||||
0 | 0 | |||||||||
−0.217833 | + | 0.377298i | −0.0152514 | + | 0.0264162i | |||||
−1.09215 | − | 1.89166i | −0.0762793 | − | 0.132120i | |||||
−6.02590 | + | 3.47906i | −0.419845 | + | 0.242397i | |||||
45.5658 | 3.16704 | |||||||||
8.26369 | − | 11.0884i | 0.572984 | − | 0.768840i | |||||
−4.04603 | −0.279870 | |||||||||
0 | 0 | |||||||||
−5.35996 | − | 9.28373i | −0.368995 | − | 0.639118i | 0.620414 | − | 0.784275i | ||
−0.989409 | + | 0.145157i | ||||||||
0.352015 | − | 0.609708i | 0.0241765 | − | 0.0418749i | |||||
14.6886i | 1.00645i | |||||||||
7.37513 | + | 4.25803i | 0.504154 | + | 0.291073i | |||||
−0.448221 | − | 0.258781i | −0.0305684 | − | 0.0176487i | |||||
− | 16.1633i | − | 1.09977i | |||||||
0 | 0 | |||||||||
8.24382 | + | 14.2787i | 0.558342 | + | 0.967076i | |||||
28.9736 | − | 16.7279i | 1.95785 | − | 1.13037i | |||||
−0.0667009 | −0.00449697 | |||||||||
6.97662 | + | 0.819021i | 0.469298 | + | 0.0550933i | |||||
−40.0617 | −2.68877 | |||||||||
11.1612 | − | 6.44392i | 0.747409 | − | 0.431517i | −0.0773480 | − | 0.997004i | ||
0.824757 | + | 0.565487i | ||||||||
0 | 0 | |||||||||
−11.7912 | + | 20.4230i | −0.786082 | + | 1.36153i | |||||
− | 4.92862i | − | 0.327847i | |||||||
0.605486 | + | 0.349577i | 0.0401875 | + | 0.0232023i | 0.519959 | − | 0.854191i | ||
−0.479772 | + | 0.877393i | ||||||||
−0.482437 | − | 0.278535i | −0.0319502 | − | 0.0184464i | |||||
− | 18.2868i | − | 1.20843i | −0.796822 | − | 0.604214i | ||||
0.796822 | − | 0.604214i | ||||||||
−3.28718 | + | 5.69356i | −0.216750 | + | 0.375422i | |||||
0 | 0 | |||||||||
13.0515 | − | 7.53528i | 0.856872 | − | 0.494715i | |||||
−26.7796 | −1.75439 | −0.877194 | − | 0.480137i | ||||||
−0.877194 | + | 0.480137i | ||||||||
−22.8783 | + | 9.85505i | −1.49560 | + | 0.644245i | |||||
−2.34426 | −0.152923 | |||||||||
−0.425268 | + | 0.245528i | −0.0276826 | + | 0.0159825i | |||||
−1.38789 | − | 2.40390i | −0.0901533 | − | 0.156150i | |||||
0 | 0 | |||||||||
16.6177i | 1.07491i | 0.843293 | + | 0.537454i | ||||||
−0.843293 | + | 0.537454i | ||||||||
4.87099 | + | 2.81227i | 0.314421 | + | 0.181531i | |||||
−15.0800 | − | 8.70643i | −0.971387 | − | 0.560830i | −0.0717279 | − | 0.997424i | ||
−0.899659 | + | 0.436594i | ||||||||
− | 11.5895i | − | 0.745000i | |||||||
7.14890 | − | 12.3823i | 0.458602 | − | 0.794322i | |||||
−0.533007 | − | 0.923194i | −0.0341222 | − | 0.0591015i | |||||
0 | 0 | |||||||||
−16.4842 | −1.05099 | |||||||||
−1.04725 | + | 8.92073i | −0.0666350 | + | 0.567612i | |||||
16.6956 | 1.06017 | |||||||||
−21.8253 | + | 12.6008i | −1.38312 | + | 0.798546i | |||||
−3.49940 | − | 6.06113i | −0.221321 | − | 0.383340i | |||||
3.22491 | − | 5.58571i | 0.203554 | − | 0.352567i | −0.746117 | − | 0.665815i | ||
0.949671 | + | 0.313249i | ||||||||
0 | 0 | |||||||||
−12.8568 | − | 7.42288i | −0.808300 | − | 0.466672i | |||||
1.70858 | + | 0.986451i | 0.107206 | + | 0.0618954i | |||||
2.85703i | 0.178914i | |||||||||
0.948120 | − | 1.64219i | 0.0592575 | − | 0.102637i | |||||
1.83578 | + | 3.17966i | 0.114513 | + | 0.198342i | 0.917585 | − | 0.397540i | ||
−0.803072 | + | 0.595882i | ||||||||
−3.38257 | + | 1.95293i | −0.210590 | + | 0.121584i | |||||
0 | 0 | |||||||||
−0.0172645 | + | 0.147063i | −0.00107070 | + | 0.00912044i | |||||
−26.0713 | −1.61377 | |||||||||
10.4108 | − | 6.01070i | 0.643183 | − | 0.371342i | |||||
−9.15964 | − | 15.8650i | −0.564807 | − | 0.978275i | −0.997068 | − | 0.0765263i | ||
0.432260 | − | 0.901749i | ||||||||
−6.61252 | + | 11.4532i | −0.406973 | + | 0.704897i | |||||
− | 4.61690i | − | 0.283614i | |||||||
0 | 0 | |||||||||
−29.4128 | − | 16.9815i | −1.80003 | − | 1.03925i | |||||
− | 0.662575i | − | 0.0404732i | |||||||
13.7715 | − | 23.8529i | 0.839661 | − | 1.45434i | −0.0505171 | − | 0.998723i | ||
0.890178 | − | 0.455613i | ||||||||
−2.01719 | − | 3.49388i | −0.122762 | − | 0.212631i | |||||
−5.64582 | + | 3.25961i | −0.342959 | + | 0.198007i | −0.661580 | − | 0.749875i | ||
0.318621 | + | 0.947882i | ||||||||
−7.47246 | −0.453084 | |||||||||
0 | 0 | |||||||||
−11.8053 | −0.713186 | |||||||||
6.65401 | − | 3.84169i | 0.401252 | − | 0.231663i | |||||
−1.02200 | − | 1.77016i | −0.0615174 | − | 0.106551i | |||||
2.72093 | − | 4.71279i | 0.163485 | − | 0.283164i | −0.772631 | − | 0.634855i | ||
0.936116 | + | 0.351691i | ||||||||
− | 6.98304i | − | 0.418815i | |||||||
−25.0131 | − | 14.4413i | −1.49749 | − | 0.864579i | |||||
0 | 0 | |||||||||
3.54237i | 0.211320i | 0.994402 | + | 0.105660i | ||||||
−0.994402 | + | 0.105660i | ||||||||
−8.84566 | + | 15.3211i | −0.526752 | + | 0.912360i | |||||
7.06956 | + | 12.2448i | 0.420242 | + | 0.727880i | 0.995963 | − | 0.0897658i | ||
−0.575721 | + | 0.817646i | ||||||||
0.356243 | − | 0.205677i | 0.0211391 | − | 0.0122047i | |||||
−3.65317 | −0.216395 | |||||||||
8.06077 | + | 0.946296i | 0.476643 | + | 0.0559556i | |||||
0 | 0 | |||||||||
−1.93145 | + | 1.11512i | −0.113812 | + | 0.0657093i | |||||
6.60215 | + | 11.4353i | 0.388362 | + | 0.672663i | |||||
1.88082 | − | 3.25768i | 0.110446 | − | 0.191298i | |||||
12.4964i | 0.732551i | |||||||||
−0.811403 | − | 0.468464i | −0.0474838 | − | 0.0274148i | |||||
7.23071 | + | 4.17465i | 0.422423 | + | 0.243886i | 0.696113 | − | 0.717932i | ||
−0.273691 | + | 0.961818i | ||||||||
0 | 0 | |||||||||
−1.61013 | + | 2.78883i | −0.0937455 | + | 0.162372i | |||||
14.7382 | + | 25.5274i | 0.856642 | + | 1.48375i | |||||
7.88964 | − | 4.55508i | 0.457803 | − | 0.264313i | |||||
−4.66359 | −0.270155 | |||||||||
−19.6938 | + | 26.4255i | −1.13892 | + | 1.52823i | |||||
1.05787 | 0.0610762 | |||||||||
0 | 0 | |||||||||
−8.77074 | − | 15.1914i | −0.504699 | − | 0.874165i | |||||
−25.8596 | + | 44.7901i | −1.48559 | + | 2.57312i | |||||
− | 9.55474i | − | 0.548002i | |||||||
−6.05415 | − | 3.49536i | −0.346659 | − | 0.200144i | |||||
11.6571 | + | 6.73021i | 0.666390 | + | 0.384741i | |||||
8.33362i | 0.475625i | 0.971311 | + | 0.237813i | ||||||
−0.971311 | + | 0.237813i | ||||||||
0 | 0 | |||||||||
−7.09334 | − | 12.2860i | −0.403526 | − | 0.698927i | |||||
3.60896 | − | 2.08363i | 0.204975 | − | 0.118342i | |||||
−14.6227 | −0.829176 | −0.414588 | − | 0.910009i | ||||||
−0.414588 | + | 0.910009i | ||||||||
23.5406 | + | 17.5438i | 1.33273 | + | 0.993224i | |||||
−17.1328 | −0.968404 | −0.484202 | − | 0.874956i | ||||||
−0.484202 | + | 0.874956i | ||||||||
12.4458 | − | 7.18556i | 0.702355 | − | 0.405505i | |||||
0 | 0 | |||||||||
−0.0388678 | + | 0.0673210i | −0.00218649 | + | 0.00378710i | |||||
14.0000i | 0.786320i | 0.919470 | + | 0.393160i | ||||||
−0.919470 | + | 0.393160i | ||||||||
−30.1742 | − | 17.4211i | −1.69209 | − | 0.976926i | |||||
7.35627 | + | 4.24714i | 0.411872 | + | 0.237794i | |||||
− | 4.30267i | − | 0.240527i | |||||||
−8.68157 | + | 15.0369i | −0.484558 | + | 0.839279i | |||||
0 | 0 | |||||||||
4.20317 | − | 2.42670i | 0.233871 | − | 0.135025i | |||||
0.0708435 | 0.00393575 | |||||||||
−6.74791 | − | 15.6652i | −0.374307 | − | 0.868947i | |||||
−21.8334 | −1.20924 | |||||||||
−29.1124 | + | 16.8081i | −1.60992 | + | 0.929487i | |||||
6.06434 | + | 10.5037i | 0.334847 | + | 0.579972i | |||||
0 | 0 | |||||||||
3.30100i | 0.181714i | |||||||||
5.99286 | + | 3.45998i | 0.329397 | + | 0.190178i | 0.655574 | − | 0.755131i | ||
−0.326176 | + | 0.945309i | ||||||||
0.611216 | + | 0.352886i | 0.0335448 | + | 0.0193671i | |||||
− | 50.9928i | − | 2.79439i | |||||||
−11.3638 | + | 19.6827i | −0.621801 | + | 1.07699i | |||||
−2.17253 | − | 3.76292i | −0.118698 | − | 0.205591i | |||||
0 | 0 | |||||||||
11.1559 | 0.607703 | 0.303852 | − | 0.952719i | ||||||
0.303852 | + | 0.952719i | ||||||||
4.17280 | − | 17.5275i | 0.226970 | − | 0.953371i | |||||
10.0488 | 0.545776 | |||||||||
0.0692913 | − | 0.0400054i | 0.00375785 | − | 0.00216960i | |||||
4.70512 | + | 8.14950i | 0.254796 | + | 0.441320i | |||||
−8.60566 | + | 14.9054i | −0.465341 | + | 0.805994i | |||||
0 | 0 | |||||||||
2.48881 | + | 1.43692i | 0.134188 | + | 0.0774734i | |||||
−11.6084 | − | 6.70213i | −0.624977 | − | 0.360830i | |||||
0.417663i | 0.0224537i | |||||||||
2.46255 | − | 4.26527i | 0.132197 | − | 0.228971i | −0.792326 | − | 0.610097i | ||
0.924523 | + | 0.381126i | ||||||||
0.584759 | + | 1.01283i | 0.0313464 | + | 0.0542935i | |||||
−1.31926 | + | 0.761675i | −0.0706183 | + | 0.0407715i | −0.534893 | − | 0.844920i | ||
0.464275 | + | 0.885691i | ||||||||
0 | 0 | |||||||||
−8.00098 | − | 18.5741i | −0.427061 | − | 0.991415i | |||||
0.726636 | 0.0387298 | |||||||||
−15.5261 | + | 8.96401i | −0.826372 | + | 0.477106i | −0.852609 | − | 0.522550i | ||
0.0262367 | + | 0.999656i | ||||||||
12.1511 | + | 21.0463i | 0.645824 | + | 1.11860i | |||||
1.34879 | − | 2.33618i | 0.0715865 | − | 0.123991i | |||||
0.951129i | 0.0504097i | |||||||||
0 | 0 | |||||||||
11.7816 | + | 6.80213i | 0.622679 | + | 0.359504i | |||||
− | 20.0014i | − | 1.05563i | −0.849359 | − | 0.527816i | ||||
0.849359 | − | 0.527816i | ||||||||
−3.72733 | + | 6.45592i | −0.196447 | + | 0.340257i | |||||
−6.39707 | − | 11.0801i | −0.336688 | − | 0.583161i | |||||
14.9217 | − | 8.61507i | 0.784269 | − | 0.452798i | |||||
23.6294 | 1.24022 | |||||||||
0 | 0 | |||||||||
−6.14421 | −0.321602 | |||||||||
−45.6885 | + | 26.3783i | −2.38818 | + | 1.37882i | |||||
13.7078 | + | 23.7427i | 0.715544 | + | 1.23936i | 0.962749 | + | 0.270395i | ||
−0.247206 | + | 0.968963i | ||||||||
17.5292 | − | 30.3615i | 0.913772 | − | 1.58270i | |||||
− | 20.9820i | − | 1.09228i | |||||||
6.37169 | + | 3.67870i | 0.331248 | + | 0.191246i | |||||
0 | 0 | |||||||||
1.29563i | 0.0671752i | |||||||||
7.94643 | − | 13.7636i | 0.411451 | − | 0.712653i | −0.583598 | − | 0.812043i | ||
0.995049 | + | 0.0993893i | ||||||||
−2.19277 | − | 3.79798i | −0.113385 | − | 0.196389i | |||||
12.3578 | − | 7.13481i | 0.638156 | − | 0.368440i | |||||
13.0168 | 0.671292 | |||||||||
11.2682 | − | 15.1199i | 0.580341 | − | 0.778712i | |||||
0 | 0 | |||||||||
7.60284 | − | 4.38950i | 0.390532 | − | 0.225474i | −0.291859 | − | 0.956461i | ||
0.682390 | + | 0.730988i | ||||||||
0.0511533 | + | 0.0886001i | 0.00262411 | + | 0.00454509i | |||||
−2.01124 | + | 3.48357i | −0.103039 | + | 0.178469i | |||||
16.9736i | 0.868447i | |||||||||
−6.89562 | − | 3.98119i | −0.352349 | − | 0.203429i | 0.313370 | − | 0.949631i | ||
−0.665720 | + | 0.746202i | ||||||||
−25.9308 | − | 14.9712i | −1.32328 | − | 0.763994i | |||||
0 | 0 | |||||||||
8.06198 | − | 13.9638i | 0.410344 | − | 0.710736i | |||||
−2.48580 | − | 4.30553i | −0.126360 | − | 0.218862i | |||||
0.303074 | − | 0.174980i | 0.0153863 | − | 0.00888326i | |||||
−32.0434 | −1.62467 | −0.812333 | − | 0.583194i | ||||||
−0.812333 | + | 0.583194i | ||||||||
7.27808 | + | 0.854411i | 0.368540 | + | 0.0432648i | |||||
17.8082 | 0.900598 | |||||||||
0 | 0 | |||||||||
12.2550 | + | 21.2263i | 0.618184 | + | 1.07073i | |||||
1.24815 | − | 2.16186i | 0.0628809 | − | 0.108913i | |||||
0.509777i | 0.0256496i | |||||||||
−0.554876 | − | 0.320358i | −0.0278836 | − | 0.0160986i | |||||
−5.57251 | − | 3.21729i | −0.279676 | − | 0.161471i | 0.353601 | − | 0.935396i | ||
−0.633277 | + | 0.773925i | ||||||||
− | 9.13777i | − | 0.458035i | |||||||
0 | 0 | |||||||||
9.07219 | + | 15.7135i | 0.453609 | + | 0.785675i | |||||
−0.462092 | + | 0.266789i | −0.0230758 | + | 0.0133228i | −0.511494 | − | 0.859287i | ||
0.488418 | + | 0.872610i | ||||||||
−32.7906 | −1.63545 | |||||||||
19.1859 | − | 8.26451i | 0.955719 | − | 0.411685i | |||||
1.44839 | 0.0720601 | |||||||||
0.402337 | − | 0.232290i | 0.0199923 | − | 0.0115426i | |||||
0 | 0 | |||||||||
−8.30697 | + | 14.3881i | −0.411761 | + | 0.713191i | |||||
− | 15.8640i | − | 0.785387i | |||||||
34.4269 | + | 19.8764i | 1.70230 | + | 0.982824i | 0.943424 | + | 0.331590i | ||
0.758877 | + | 0.651234i | ||||||||
2.62176 | + | 1.51367i | 0.129479 | + | 0.0747550i | |||||
− | 24.0695i | − | 1.18726i | |||||||
−0.198648 | + | 0.344069i | −0.00978670 | + | 0.0169511i | |||||
0 | 0 | |||||||||
−54.6913 | + | 31.5760i | −2.68793 | + | 1.55188i | |||||
4.62832 | 0.227195 | |||||||||
0.188078 | − | 1.60209i | 0.00922128 | − | 0.0785490i | |||||
14.2375 | 0.697213 | |||||||||
4.85633 | − | 2.80380i | 0.237531 | − | 0.137139i | |||||
11.9088 | + | 20.6266i | 0.581783 | + | 1.00768i | 0.995268 | + | 0.0971665i | ||
−0.413485 | + | 0.910511i | ||||||||
0 | 0 | |||||||||
− | 23.2419i | − | 1.13274i | −0.824151 | − | 0.566370i | ||||
0.824151 | − | 0.566370i | ||||||||
12.8668 | + | 7.42865i | 0.626346 | + | 0.361621i | |||||
−19.5016 | − | 11.2593i | −0.948200 | − | 0.547444i | |||||
25.6360i | 1.24500i | |||||||||
−4.60828 | + | 7.98178i | −0.223535 | + | 0.387173i | |||||
−10.1789 | − | 17.6303i | −0.493168 | − | 0.854192i | |||||
0 | 0 | |||||||||
0.486253 | 0.0235039 | |||||||||
−1.92937 | + | 16.4348i | −0.0931510 | + | 0.793482i | |||||
0.717316 | 0.0345920 | |||||||||
−2.34424 | + | 1.35345i | −0.112918 | + | 0.0651932i | −0.555395 | − | 0.831586i | ||
0.442477 | + | 0.896780i | ||||||||
10.7569 | + | 18.6314i | 0.517540 | + | 0.896406i | |||||
2.90945 | − | 5.03932i | 0.139819 | − | 0.242174i | −0.787609 | − | 0.616176i | ||
0.927428 | + | 0.374002i | ||||||||
0 | 0 | |||||||||
6.64198 | + | 3.83475i | 0.318459 | + | 0.183862i | |||||
0.815290 | + | 0.470708i | 0.0390453 | + | 0.0225428i | |||||
22.7706i | 1.08927i | |||||||||
−23.1841 | + | 40.1560i | −1.10778 | + | 1.91873i | |||||
−19.0851 | − | 33.0563i | −0.910882 | − | 1.57769i | −0.812822 | − | 0.582513i | ||
−0.0980599 | − | 0.995181i | ||||||||
2.10340 | − | 1.21440i | 0.100276 | − | 0.0578942i | |||||
0 | 0 | |||||||||
−8.94139 | + | 3.85158i | −0.425298 | + | 0.183201i | |||||
−31.6740 | −1.50488 | −0.752440 | − | 0.658661i | ||||||
−0.752440 | + | 0.658661i | ||||||||
−1.98100 | + | 1.14373i | −0.0940139 | + | 0.0542790i | |||||
3.11867 | + | 5.40169i | 0.147839 | + | 0.256065i | |||||
−8.93097 | + | 15.4689i | −0.422894 | + | 0.732473i | |||||
− | 9.50845i | − | 0.449734i | |||||||
0 | 0 | |||||||||
27.1975 | + | 15.7025i | 1.28353 | + | 0.741045i | 0.977491 | − | 0.210975i | ||
0.306036 | + | 0.952020i | ||||||||
− | 32.6842i | − | 1.54075i | |||||||
−3.41807 | + | 5.92027i | −0.160951 | + | 0.278775i | |||||
−0.140708 | − | 0.243713i | −0.00661834 | − | 0.0114633i | |||||
30.9732 | − | 17.8824i | 1.45525 | − | 0.840187i | |||||
−0.968995 | −0.0454772 | |||||||||
0 | 0 | |||||||||
20.2847 | 0.949920 | |||||||||
27.5640 | − | 15.9141i | 1.28939 | − | 0.744429i | 0.310844 | − | 0.950461i | ||
0.978545 | + | 0.206032i | ||||||||
12.6723 | + | 21.9491i | 0.592140 | + | 1.02562i | |||||
−5.46403 | + | 9.46398i | −0.255039 | + | 0.441741i | |||||
0.375385i | 0.0175024i | |||||||||
−1.01005 | − | 0.583153i | −0.0470427 | − | 0.0271601i | 0.476294 | − | 0.879286i | ||
−0.523337 | + | 0.852126i | ||||||||
0 | 0 | |||||||||
20.3441i | 0.945469i | 0.881205 | + | 0.472734i | ||||||
−0.881205 | + | 0.472734i | ||||||||
−10.0297 | + | 17.3719i | −0.465615 | + | 0.806470i | |||||
4.24825 | + | 7.35819i | 0.197008 | + | 0.341228i | |||||
32.1427 | − | 18.5576i | 1.48898 | − | 0.859664i | |||||
−1.56939 | −0.0726229 | −0.0363114 | − | 0.999341i | ||||||
−0.0363114 | + | 0.999341i | ||||||||
−0.849948 | + | 1.14048i | −0.0392889 | + | 0.0527185i | |||||
0 | 0 | |||||||||
2.81375 | − | 1.62452i | 0.129788 | − | 0.0749334i | |||||
14.6504 | + | 25.3753i | 0.675055 | + | 1.16923i | |||||
8.94049 | − | 15.4854i | 0.411519 | − | 0.712773i | |||||
1.61979i | 0.0744781i | |||||||||
3.33169 | + | 1.92355i | 0.153030 | + | 0.0883517i | |||||
−10.2060 | − | 5.89243i | −0.468283 | − | 0.270363i | |||||
0 | 0 | |||||||||
22.1745 | − | 38.4074i | 1.01530 | − | 1.75856i | |||||
−11.5157 | − | 19.9457i | −0.526714 | − | 0.912295i | |||||
−6.68501 | + | 3.85959i | −0.305446 | + | 0.176349i | −0.644887 | − | 0.764278i | ||
0.339441 | + | 0.940627i | ||||||||
0.656080 | 0.0299458 | |||||||||
29.5729 | + | 22.0394i | 1.34841 | + | 1.00491i | |||||
24.1334 | 1.09925 | |||||||||
0 | 0 | |||||||||
−0.330870 | − | 0.573083i | −0.0150395 | − | 0.0260492i | |||||
1.14749 | − | 1.98751i | 0.0521047 | − | 0.0902481i | |||||
19.8161i | 0.898875i | |||||||||
−0.0659739 | − | 0.0380900i | −0.00298956 | − | 0.00172602i | 0.498504 | − | 0.866887i | ||
−0.501494 | + | 0.865161i | ||||||||
33.6165 | + | 19.4085i | 1.52175 | + | 0.878582i | |||||
− | 44.5155i | − | 2.01306i | |||||||
0 | 0 | |||||||||
0.893574 | + | 1.54772i | 0.0403264 | + | 0.0698474i | 0.885484 | − | 0.464670i | ||
−0.845158 | + | 0.534517i | ||||||||
−0.815121 | + | 0.470610i | −0.0367485 | + | 0.0212167i | |||||
−10.1893 | −0.458902 | |||||||||
−4.92487 | − | 11.4330i | −0.221580 | − | 0.514395i | |||||
−4.20170 | −0.188852 | |||||||||
−19.2451 | + | 11.1112i | −0.864131 | + | 0.498906i | |||||
0 | 0 | |||||||||
17.4642 | − | 30.2488i | 0.782589 | − | 1.35548i | |||||
− | 8.33493i | − | 0.373123i | −0.982443 | − | 0.186561i | ||||
0.982443 | − | 0.186561i | ||||||||
−0.346080 | − | 0.199810i | −0.0154772 | − | 0.00893576i | |||||
−40.1305 | − | 23.1694i | −1.79290 | − | 1.03513i | |||||
8.93914i | 0.398973i | |||||||||
0.720238 | − | 1.24749i | 0.0321138 | − | 0.0556228i | −0.849522 | − | 0.527554i | ||
0.881636 | + | 0.471931i | ||||||||
0 | 0 | |||||||||
8.22576 | − | 4.74914i | 0.366041 | − | 0.211334i | |||||
20.5755 | 0.914693 | |||||||||
35.7363 | + | 8.50779i | 1.58710 | + | 0.377844i | |||||
0.112649 | 0.00499801 | |||||||||
−12.8394 | + | 7.41282i | −0.569096 | + | 0.328568i | −0.756788 | − | 0.653660i | ||
0.187692 | + | 0.982228i | ||||||||
−1.97985 | − | 3.42920i | −0.0876693 | − | 0.151848i | |||||
0 | 0 | |||||||||
23.8204i | 1.05272i | |||||||||
−12.1012 | − | 6.98664i | −0.534282 | − | 0.308468i | |||||
−4.40686 | − | 2.54430i | −0.194378 | − | 0.112224i | |||||
2.60540i | 0.114808i | |||||||||
−0.111509 | + | 0.193139i | −0.00490891 | + | 0.00850248i | |||||
3.66837 | + | 6.35380i | 0.161335 | + | 0.279440i | |||||
0 | 0 | |||||||||
−0.851561 | −0.0373794 | |||||||||
−2.13308 | − | 4.95192i | −0.0935419 | − | 0.217156i | |||||
0.334388 | 0.0146498 | 0.00732489 | − | 0.999973i | ||||||
0.00732489 | + | 0.999973i | ||||||||
31.2926 | − | 18.0668i | 1.36964 | − | 0.790763i | |||||
−16.2533 | − | 28.1515i | −0.710705 | − | 1.23098i | −0.964593 | − | 0.263744i | ||
0.253887 | − | 0.967234i | ||||||||
0.343201 | − | 0.594441i | 0.0149928 | − | 0.0259683i | |||||
0 | 0 | |||||||||
21.9881 | + | 12.6948i | 0.958726 | + | 0.553521i | |||||
−9.77570 | − | 5.64400i | −0.425836 | − | 0.245857i | |||||
− | 17.6029i | − | 0.766068i | |||||||
−30.2751 | + | 52.4380i | −1.31631 | + | 2.27991i | |||||
3.19941 | + | 5.54153i | 0.138973 | + | 0.240709i | |||||
−26.7890 | + | 15.4666i | −1.16254 | + | 0.671194i | |||||
0 | 0 | |||||||||
12.1683 | + | 9.06855i | 0.527070 | + | 0.392803i | |||||
47.0710 | 2.03696 | |||||||||
2.76155 | − | 1.59438i | 0.119392 | − | 0.0689311i | |||||
12.0633 | + | 20.8942i | 0.521053 | + | 0.902491i | |||||
−13.8686 | + | 24.0212i | −0.598476 | + | 1.03659i | |||||
38.1732i | 1.64576i | |||||||||
0 | 0 | |||||||||
−0.199495 | − | 0.115178i | −0.00858488 | − | 0.00495649i | |||||
10.6015i | 0.455796i | 0.973685 | + | 0.227898i | ||||||
−0.973685 | + | 0.227898i | ||||||||
4.51767 | − | 7.82483i | 0.194051 | − | 0.336105i | |||||
17.5650 | + | 30.4235i | 0.753786 | + | 1.30560i | |||||
−0.754856 | + | 0.435816i | −0.0323642 | + | 0.0186855i | |||||
6.17364 | 0.264450 | |||||||||
0 | 0 | |||||||||
10.2327 | 0.437519 | 0.218760 | − | 0.975779i | ||||||
0.218760 | + | 0.975779i | ||||||||
−0.583756 | + | 0.337032i | −0.0249368 | + | 0.0143973i | |||||
−33.5758 | − | 58.1549i | −1.43298 | − | 2.48199i | |||||
−5.32440 | + | 9.22214i | −0.227033 | + | 0.393233i | |||||
− | 13.0286i | − | 0.555038i | |||||||
64.4574 | + | 37.2145i | 2.74349 | + | 1.58396i | |||||
0 | 0 | |||||||||
7.54216i | 0.320436i | |||||||||
−7.50037 | + | 12.9910i | −0.318373 | + | 0.551438i | |||||
−0.199360 | − | 0.345301i | −0.00845474 | − | 0.0146440i | |||||
27.7067 | − | 15.9965i | 1.17397 | − | 0.677793i | 0.219359 | − | 0.975644i | ||
0.954612 | + | 0.297851i | ||||||||
40.0300 | 1.69460 | |||||||||
3.57133 | + | 0.419257i | 0.151051 | + | 0.0177327i | |||||
0 | 0 | |||||||||
7.74359 | − | 4.47076i | 0.326934 | − | 0.188756i | |||||
−2.45478 | − | 4.25180i | −0.103549 | − | 0.179351i | |||||
−5.39566 | + | 9.34556i | −0.227400 | + | 0.393868i | −0.957037 | − | 0.289967i | ||
0.729637 | + | 0.683835i | ||||||||
1.01014i | 0.0425348i | |||||||||
−1.59823 | − | 0.922737i | −0.0672380 | − | 0.0388199i | |||||
−16.9708 | − | 9.79808i | −0.713335 | − | 0.411844i | |||||
0 | 0 | |||||||||
−7.48937 | + | 12.9720i | −0.314247 | + | 0.544292i | |||||
−12.3007 | − | 21.3054i | −0.515672 | − | 0.893170i | −0.999835 | − | 0.0181917i | ||
0.484163 | − | 0.874978i | ||||||||
4.38479 | − | 2.53156i | 0.183659 | − | 0.106035i | |||||
−16.5724 | −0.693534 | −0.346767 | − | 0.937951i | ||||||
−0.346767 | + | 0.937951i | ||||||||
0.425610 | − | 0.183335i | 0.0177956 | − | 0.00766563i | |||||
−34.6070 | −1.44573 | |||||||||
0 | 0 | |||||||||
−21.6206 | − | 37.4480i | −0.901641 | − | 1.56169i | |||||
20.6653 | − | 35.7934i | 0.861054 | − | 1.49139i | |||||
14.6611i | 0.610348i | 0.952297 | + | 0.305174i | ||||||
−0.952297 | + | 0.305174i | ||||||||
−15.8487 | − | 9.15027i | −0.659221 | − | 0.380601i | |||||
28.4702 | + | 16.4373i | 1.18318 | + | 0.683111i | |||||
− | 0.214784i | − | 0.00891840i | |||||||
0 | 0 | |||||||||
−8.65969 | − | 14.9990i | −0.358956 | − | 0.621730i | |||||
−12.5135 | + | 7.22467i | −0.518256 | + | 0.299215i | |||||
34.1166 | 1.41175 | |||||||||
−1.08754 | + | 9.26394i | −0.0449644 | + | 0.383017i | |||||
−11.5717 | −0.478024 | |||||||||
−30.5998 | + | 17.6668i | −1.26299 | + | 0.729186i | −0.973652 | − | 0.228041i | ||
−0.289336 | + | 0.957227i | ||||||||
0 | 0 | |||||||||
7.21676 | − | 12.4998i | 0.297362 | − | 0.515045i | |||||
− | 4.46313i | − | 0.183744i | |||||||
4.40775 | + | 2.54481i | 0.181310 | + | 0.104680i | |||||
−33.9776 | − | 19.6170i | −1.39647 | − | 0.806253i | |||||
− | 16.4294i | − | 0.674675i | −0.941384 | − | 0.337338i | ||||
0.941384 | − | 0.337338i | ||||||||
−6.31313 | + | 10.9347i | −0.259031 | + | 0.448655i | |||||
0 | 0 | |||||||||
−0.230608 | + | 0.133142i | −0.00944608 | + | 0.00545370i | |||||
18.6307 | 0.762504 | |||||||||
5.32564 | − | 45.3651i | 0.217782 | − | 1.85512i | |||||
12.0819 | 0.493653 | 0.246826 | − | 0.969060i | ||||||
0.246826 | + | 0.969060i | ||||||||
−33.3598 | + | 19.2603i | −1.36191 | + | 0.786297i | |||||
3.90743 | + | 6.76787i | 0.159387 | + | 0.276067i | 0.934648 | − | 0.355574i | ||
−0.775261 | + | 0.631642i | ||||||||
0 | 0 | |||||||||
− | 41.7377i | − | 1.69969i | |||||||
−0.867401 | − | 0.500794i | −0.0352941 | − | 0.0203770i | |||||
−3.75818 | − | 2.16979i | −0.152792 | − | 0.0882144i | |||||
− | 71.6803i | − | 2.91181i | |||||||
17.7825 | − | 30.8001i | 0.721768 | − | 1.25014i | −0.238523 | − | 0.971137i | ||
0.960291 | − | 0.279002i | ||||||||
−0.557261 | − | 0.965205i | −0.0225999 | − | 0.0391442i | |||||
0 | 0 | |||||||||
9.68882 | 0.392289 | |||||||||
14.9584 | − | 6.44347i | 0.605153 | − | 0.260675i | |||||
0.768568 | 0.0310675 | |||||||||
−10.3376 | + | 5.96839i | −0.417530 | + | 0.241061i | −0.694020 | − | 0.719956i | ||
0.276490 | + | 0.961017i | ||||||||
−5.77500 | − | 10.0026i | −0.233060 | − | 0.403672i | |||||
−3.08618 | + | 5.34542i | −0.124447 | + | 0.215548i | |||||
0 | 0 | |||||||||
−20.4124 | − | 11.7851i | −0.821772 | − | 0.474450i | 0.0292550 | − | 0.999572i | ||
−0.851027 | + | 0.525122i | ||||||||
17.0278 | + | 9.83103i | 0.684960 | + | 0.395462i | |||||
− | 28.5571i | − | 1.14781i | −0.818923 | − | 0.573904i | ||||
0.818923 | − | 0.573904i | ||||||||
0.118972 | − | 0.206066i | 0.00477803 | − | 0.00827579i | |||||
−25.6355 | − | 44.4020i | −1.02872 | − | 1.78179i | |||||
17.5512 | − | 10.1332i | 0.703738 | − | 0.406303i | |||||
0 | 0 | |||||||||
−38.8110 | − | 4.55623i | −1.55368 | − | 0.182395i | |||||
21.0328 | 0.841311 | |||||||||
20.5640 | − | 11.8726i | 0.821903 | − | 0.474526i | |||||
5.71659 | + | 9.90142i | 0.228298 | + | 0.395425i | |||||
0.410283 | − | 0.710632i | 0.0163721 | − | 0.0283573i | |||||
− | 19.9292i | − | 0.794628i | |||||||
0 | 0 | |||||||||
−38.9646 | − | 22.4962i | −1.55116 | − | 0.895561i | −0.998048 | − | 0.0624526i | ||
−0.553109 | − | 0.833109i | ||||||||
− | 2.83061i | − | 0.112596i | |||||||
−15.1460 | + | 26.2337i | −0.602001 | + | 1.04270i | |||||
−9.70169 | − | 16.8038i | −0.385303 | − | 0.667365i | |||||
0.639763 | − | 0.369367i | 0.0253882 | − | 0.0146579i | |||||
−1.98943 | −0.0788860 | |||||||||
0 | 0 | |||||||||
−11.7727 | −0.466085 | |||||||||
22.4409 | − | 12.9562i | 0.887747 | − | 0.512541i | |||||
2.74947 | + | 4.76222i | 0.108682 | + | 0.188243i | |||||
−1.26650 | + | 2.19364i | −0.0500238 | + | 0.0866437i | −0.889953 | − | 0.456052i | ||
0.839929 | + | 0.542696i | ||||||||
− | 24.0645i | − | 0.949749i | |||||||
−15.9150 | − | 9.18853i | −0.627627 | − | 0.362360i | 0.152206 | − | 0.988349i | ||
−0.779832 | + | 0.625988i | ||||||||
0 | 0 | |||||||||
1.46251i | 0.0575863i | |||||||||
−3.36329 | + | 5.82539i | −0.132327 | + | 0.229197i | |||||
−10.4643 | − | 18.1248i | −0.411396 | − | 0.712558i | 0.583647 | − | 0.812008i | ||
−0.995043 | + | 0.0994494i | ||||||||
−2.23404 | + | 1.28982i | −0.0877612 | + | 0.0506690i | |||||
10.0783 | 0.395609 | |||||||||
18.9549 | + | 14.1263i | 0.743473 | + | 0.554079i | |||||
0 | 0 | |||||||||
−1.07963 | + | 0.623326i | −0.0422817 | + | 0.0244113i | |||||
24.0580 | + | 41.6696i | 0.941461 | + | 1.63066i | 0.762686 | + | 0.646769i | ||
0.178775 | + | 0.983890i | ||||||||
23.2952 | − | 40.3484i | 0.910913 | − | 1.57775i | |||||
− | 4.50130i | − | 0.175880i | |||||||
−13.9808 | − | 8.07180i | −0.545857 | − | 0.315151i | |||||
−51.1129 | − | 29.5100i | −1.99410 | − | 1.15130i | |||||
0 | 0 | |||||||||
1.10819 | − | 1.91944i | 0.0431690 | − | 0.0747708i | −0.843634 | − | 0.536919i | ||
0.886803 | + | 0.462148i | ||||||||
0.0942408 | + | 0.163230i | 0.00366832 | + | 0.00635371i | |||||
0.552034 | − | 0.318717i | 0.0214716 | − | 0.0123966i | −0.489226 | − | 0.872157i | ||
0.510697 | + | 0.859761i | ||||||||
−9.59073 | −0.372754 | |||||||||
−7.85287 | − | 18.2303i | −0.304980 | − | 0.708006i | |||||
−25.6994 | −0.997331 | |||||||||
0 | 0 | |||||||||
35.3368 | + | 61.2052i | 1.36927 | + | 2.37165i | |||||
23.9024 | − | 41.4002i | 0.925506 | − | 1.60302i | |||||
1.29771i | 0.0502100i | |||||||||
−31.5390 | − | 18.2091i | −1.21937 | − | 0.704003i | |||||
5.21523 | + | 3.01102i | 0.201482 | + | 0.116326i | |||||
21.8786i | 0.844614i | |||||||||
0 | 0 | |||||||||
7.70343 | + | 13.3427i | 0.296945 | + | 0.514324i | 0.975436 | − | 0.220285i | ||
−0.678490 | + | 0.734609i | ||||||||
−13.3901 | + | 7.73081i | −0.515769 | + | 0.297780i | |||||
26.5352 | 1.02134 | |||||||||
−0.294057 | − | 0.985841i | −0.0113099 | − | 0.0379170i | |||||
11.6812 | 0.448945 | 0.224473 | − | 0.974480i | ||||||
0.224473 | + | 0.974480i | ||||||||
−12.0613 | + | 6.96358i | −0.463210 | + | 0.267435i | |||||
0 | 0 | |||||||||
−1.45673 | + | 2.52312i | −0.0558629 | + | 0.0967574i | |||||
− | 1.97565i | − | 0.0757072i | |||||||
−11.2948 | − | 6.52107i | −0.432501 | − | 0.249705i | |||||
19.8419 | + | 11.4557i | 0.759227 | + | 0.438340i | 0.829018 | − | 0.559221i | ||
−0.0697909 | + | 0.997562i | ||||||||
0.982737i | 0.0375759i | |||||||||
−2.21020 | + | 3.82817i | −0.0844473 | + | 0.146267i | |||||
0 | 0 | |||||||||
−44.7514 | + | 25.8372i | −1.70737 | + | 0.985752i | |||||
−3.82515 | −0.145833 | |||||||||
12.6901 | + | 29.4599i | 0.483454 | + | 1.12233i | |||||
18.5777 | 0.707239 | |||||||||
40.9046 | − | 23.6163i | 1.55608 | − | 0.898405i | 0.558458 | − | 0.829533i | ||
0.997625 | − | 0.0688729i | ||||||||
0.0119239 | + | 0.0206529i | 0.000453280 | + | 0.000785104i | |||||
0 | 0 | |||||||||
6.82596i | 0.259110i | |||||||||
−2.26443 | − | 1.30737i | −0.0858946 | − | 0.0495913i | |||||
−36.8805 | − | 21.2930i | −1.39795 | − | 0.807109i | |||||
− | 8.20026i | − | 0.310607i | |||||||
1.05565 | − | 1.82843i | 0.0399568 | − | 0.0692071i | |||||
37.8365 | + | 65.5347i | 1.43111 | + | 2.47875i | |||||
0 | 0 | |||||||||
12.2098 | 0.461158 | 0.230579 | − | 0.973054i | ||||||
0.230579 | + | 0.973054i | ||||||||
22.4748 | + | 16.7495i | 0.848256 | + | 0.632169i | |||||
25.4827 | 0.961097 | |||||||||
−11.6618 | + | 6.73295i | −0.439521 | + | 0.253758i | |||||
3.31218 | + | 5.73686i | 0.124744 | + | 0.216063i | |||||
12.4237 | − | 21.5185i | 0.467572 | − | 0.809858i | |||||
0 | 0 | |||||||||
1.20171 | + | 0.693808i | 0.0451630 | + | 0.0260749i | |||||
−15.4910 | − | 8.94374i | −0.581777 | − | 0.335889i | 0.180062 | − | 0.983655i | ||
−0.761839 | + | 0.647766i | ||||||||
3.73873i | 0.140312i | |||||||||
−2.44841 | + | 4.24076i | −0.0918224 | + | 0.159041i | |||||
−17.3169 | − | 29.9937i | −0.648977 | − | 1.12406i | |||||
45.8644 | − | 26.4798i | 1.71764 | − | 0.991678i | |||||
0 | 0 | |||||||||
1.81600 | − | 2.43674i | 0.0679146 | − | 0.0911290i | |||||
0.776780 | 0.0290296 | |||||||||
40.6667 | − | 23.4789i | 1.51872 | − | 0.876836i | |||||
13.8605 | + | 24.0070i | 0.517268 | + | 0.895935i | |||||
−4.56317 | + | 7.90364i | −0.170178 | + | 0.294756i | −0.938482 | − | 0.345329i | ||
0.768304 | + | 0.640085i | ||||||||
− | 9.92235i | − | 0.369784i | |||||||
0 | 0 | |||||||||
15.3564 | + | 8.86604i | 0.571507 | + | 0.329960i | |||||
49.2048i | 1.82995i | |||||||||
0.491906 | − | 0.852006i | 0.0182815 | − | 0.0316646i | |||||
12.3706 | + | 21.4266i | 0.459434 | + | 0.795763i | |||||
−28.3617 | + | 16.3746i | −1.05260 | + | 0.607719i | |||||
−33.6859 | −1.24934 | −0.624670 | − | 0.780889i | ||||||
−0.624670 | + | 0.780889i | ||||||||
0 | 0 | |||||||||
−43.0880 | −1.59585 | |||||||||
7.37471 | − | 4.25779i | 0.272950 | − | 0.157588i | |||||
−0.971507 | − | 1.68270i | −0.0359325 | − | 0.0622369i | |||||
−1.50616 | + | 2.60874i | −0.0556691 | + | 0.0964218i | |||||
46.4344i | 1.71509i | 0.514406 | + | 0.857547i | ||||||
−0.514406 | + | 0.857547i | ||||||||
−32.9062 | − | 18.9984i | −1.21459 | − | 0.701245i | |||||
0 | 0 | |||||||||
− | 4.08942i | − | 0.150738i | |||||||
−6.79927 | + | 11.7767i | −0.250454 | + | 0.433799i | |||||
14.5400 | + | 25.1841i | 0.535226 | + | 0.927039i | |||||
−1.60237 | + | 0.925127i | −0.0589440 | + | 0.0340314i | −0.529182 | − | 0.848508i | ||
0.470238 | + | 0.882539i | ||||||||
0.420095 | 0.0154430 | |||||||||
23.3104 | − | 10.0412i | 0.856328 | − | 0.368871i | |||||
0 | 0 | |||||||||
28.7095 | − | 16.5755i | 1.05325 | − | 0.608094i | 0.129693 | − | 0.991554i | ||
0.923558 | + | 0.383460i | ||||||||
−23.5890 | − | 40.8574i | −0.864816 | − | 1.49791i | |||||
−0.873120 | + | 1.51229i | −0.0319886 | + | 0.0554059i | |||||
22.0268i | 0.806457i | |||||||||
38.5024 | + | 22.2294i | 1.40873 | + | 0.813331i | |||||
−0.216858 | − | 0.125203i | −0.00792913 | − | 0.00457788i | |||||
0 | 0 | |||||||||
−9.88850 | + | 17.1274i | −0.361077 | + | 0.625404i | |||||
−10.3871 | − | 17.9910i | −0.379032 | − | 0.656503i | 0.611890 | − | 0.790943i | ||
−0.990922 | + | 0.134441i | ||||||||
−15.0046 | + | 8.66289i | −0.547160 | + | 0.315903i | |||||
−18.2257 | −0.664182 | |||||||||
−3.04717 | + | 25.9565i | −0.110971 | + | 0.945280i | |||||
−6.56824 | −0.239043 | |||||||||
0 | 0 | |||||||||
−21.8075 | − | 37.7717i | −0.792607 | − | 1.37283i | −0.924348 | − | 0.381551i | ||
0.131741 | − | 0.991284i | ||||||||
−6.08364 | + | 10.5372i | −0.220968 | + | 0.382727i | |||||
41.9508i | 1.52272i | |||||||||
−3.22622 | − | 1.86266i | −0.117027 | − | 0.0675657i | |||||
−10.7302 | − | 6.19511i | −0.388971 | − | 0.224573i | 0.292743 | − | 0.956191i | ||
−0.681714 | + | 0.731619i | ||||||||
− | 5.57497i | − | 0.201960i | |||||||
0 | 0 | |||||||||
0.484583 | + | 0.839323i | 0.0175316 | + | 0.0303656i | |||||
4.36488 | − | 2.52007i | 0.157813 | − | 0.0911132i | |||||
11.0355 | 0.398728 | |||||||||
2.60862 | − | 22.2208i | 0.0941917 | − | 0.802347i | |||||
−5.35835 | −0.193353 | |||||||||
4.80955 | − | 2.77680i | 0.173437 | − | 0.100134i | −0.410769 | − | 0.911740i | ||
0.584205 | + | 0.811606i | ||||||||
0 | 0 | |||||||||
5.18750 | − | 8.98501i | 0.186823 | − | 0.323587i | |||||
− | 0.920651i | − | 0.0331349i | |||||||
−37.9355 | − | 21.9021i | −1.36445 | − | 0.787764i | −0.374235 | − | 0.927334i | ||
−0.990212 | + | 0.139570i | ||||||||
5.96726 | + | 3.44520i | 0.214489 | + | 0.123835i | |||||
27.4092i | 0.984566i | |||||||||
−6.37159 | + | 11.0359i | −0.228727 | + | 0.396166i | |||||
0 | 0 | |||||||||
38.4608 | − | 22.2053i | 1.37889 | − | 0.796100i | |||||
10.4853 | 0.375677 | |||||||||
0.384283 | − | 0.165534i | 0.0137596 | − | 0.00592705i | |||||
−8.44253 | −0.302098 | |||||||||
−21.3746 | + | 12.3406i | −0.764354 | + | 0.441300i | |||||
14.6678 | + | 25.4054i | 0.524185 | + | 0.907916i | |||||
0 | 0 | |||||||||
− | 5.38113i | − | 0.192061i | |||||||
−29.4187 | − | 16.9849i | −1.04933 | − | 0.605830i | |||||
−21.4782 | − | 12.4005i | −0.765616 | − | 0.442029i | 0.0656923 | − | 0.997840i | ||
−0.831309 | + | 0.555811i | ||||||||
− | 0.142535i | − | 0.00507758i | |||||||
−25.8831 | + | 44.8308i | −0.921462 | + | 1.59602i | |||||
−0.353263 | − | 0.611870i | −0.0125685 | − | 0.0217693i | |||||
0 | 0 | |||||||||
23.3305 | 0.829015 | |||||||||
48.2381 | + | 5.66293i | 1.71299 | + | 0.201096i | |||||
8.91801 | 0.316489 | |||||||||
−11.2985 | + | 6.52316i | −0.400715 | + | 0.231353i | |||||
−0.260876 | − | 0.451850i | −0.00924649 | − | 0.0160154i | |||||
8.23575 | − | 14.2647i | 0.291725 | − | 0.505283i | −0.682492 | − | 0.730893i | ||
0.974218 | + | 0.225610i | ||||||||
0 | 0 | |||||||||
−7.62168 | − | 4.40038i | −0.269636 | − | 0.155674i | |||||
1.83292 | + | 1.05823i | 0.0648034 | + | 0.0374142i | |||||
59.9146i | 2.11698i | |||||||||
0.369756 | − | 0.640437i | 0.0130566 | − | 0.0226146i | |||||
9.61464 | + | 16.6530i | 0.339293 | + | 0.587673i | |||||
−1.62145 | + | 0.936144i | −0.0571841 | + | 0.0330152i | |||||
0 | 0 | |||||||||
−17.3012 | + | 23.2150i | −0.609408 | + | 0.817715i | |||||
−77.8301 | −2.73975 | |||||||||
−45.6747 | + | 26.3703i | −1.60683 | + | 0.927704i | |||||
−0.690968 | − | 1.19679i | −0.0242932 | − | 0.0420770i | 0.853623 | − | 0.520891i | ||
−0.877916 | + | 0.478814i | ||||||||
−0.321942 | + | 0.557621i | −0.0113119 | + | 0.0195928i | |||||
− | 6.83571i | − | 0.240034i | −0.992772 | − | 0.120017i | ||||
0.992772 | − | 0.120017i | ||||||||
0 | 0 | |||||||||
15.9538 | + | 9.21093i | 0.559524 | + | 0.323041i | |||||
− | 23.0261i | − | 0.807066i | |||||||
−4.08767 | + | 7.08004i | −0.143185 | + | 0.248003i | |||||
10.5577 | + | 18.2865i | 0.369595 | + | 0.640157i | |||||
2.15160 | − | 1.24223i | 0.0752750 | − | 0.0434601i | |||||
−55.0954 | −1.92637 | |||||||||
0 | 0 | |||||||||
0.172856 | 0.00603640 | |||||||||
−9.13009 | + | 5.27126i | −0.318642 | + | 0.183968i | −0.650787 | − | 0.759260i | ||
0.332145 | + | 0.943228i | ||||||||
16.6796 | + | 28.8899i | 0.581767 | + | 1.00765i | |||||
7.41652 | − | 12.8458i | 0.258524 | − | 0.447776i | −0.707323 | − | 0.706891i | ||
0.965847 | + | 0.259114i | ||||||||
− | 14.4669i | − | 0.503977i | |||||||
−18.8027 | − | 10.8558i | −0.654627 | − | 0.377949i | |||||
0 | 0 | |||||||||
55.6758i | 1.93604i | 0.250879 | + | 0.968018i | ||||||
−0.250879 | + | 0.968018i | ||||||||
−1.80294 | + | 3.12278i | −0.0626564 | + | 0.108524i | |||||
0.0232424 | + | 0.0402570i | 0.000807242 | + | 0.00139818i | 0.866429 | − | 0.499301i | ||
−0.865622 | + | 0.500699i | ||||||||
−5.55524 | + | 3.20732i | −0.192825 | + | 0.111328i | |||||
−15.3775 | −0.533438 | |||||||||
11.8264 | + | 27.4548i | 0.410006 | + | 0.951823i | |||||
0 | 0 | |||||||||
−17.0888 | + | 9.86624i | −0.591738 | + | 0.341640i | |||||
4.25508 | + | 7.37002i | 0.147253 | + | 0.255050i | |||||
0.160092 | − | 0.277288i | 0.00553691 | − | 0.00959022i | |||||
32.4990i | 1.12333i | |||||||||
−28.5875 | − | 16.5050i | −0.987540 | − | 0.570157i | |||||
−22.1248 | − | 12.7738i | −0.763833 | − | 0.440999i | 0.0668370 | − | 0.997764i | ||
−0.830670 | + | 0.556765i | ||||||||
0 | 0 | |||||||||
0.823775 | − | 1.42682i | 0.0284060 | − | 0.0492007i | |||||
16.1061 | + | 27.8965i | 0.555052 | + | 0.961378i | |||||
8.66886 | − | 5.00497i | 0.298572 | − | 0.172380i | |||||
0.848327 | 0.0292006 | |||||||||
−4.90250 | − | 4.63464i | −0.168651 | − | 0.159437i | |||||
31.2096 | 1.07301 | |||||||||
0 | 0 | |||||||||
−17.0611 | − | 29.5507i | −0.585881 | − | 1.01478i | |||||
19.9770 | − | 34.6012i | 0.685609 | − | 1.18751i | |||||
− | 12.7737i | − | 0.438135i | |||||||
80.9745 | + | 46.7507i | 2.77577 | + | 1.60259i | |||||
−1.00666 | − | 0.581197i | −0.0344877 | − | 0.0199115i | |||||
22.6671i | 0.776105i | 0.921637 | + | 0.388053i | ||||||
−0.921637 | + | 0.388053i | ||||||||
0 | 0 | |||||||||
3.22231 | + | 5.58120i | 0.110201 | + | 0.190873i | |||||
−15.3339 | + | 8.85303i | −0.524102 | + | 0.302590i | |||||
−37.0535 | −1.26572 | −0.632862 | − | 0.774264i | ||||||
−0.632862 | + | 0.774264i | ||||||||
−9.07319 | − | 21.0633i | −0.309754 | − | 0.719088i | |||||
4.24339 | 0.144782 | 0.0723912 | − | 0.997376i | ||||||
0.0723912 | + | 0.997376i | ||||||||
0.0354702 | − | 0.0204788i | 0.00120953 | − | 0.000698320i | |||||
0 | 0 | |||||||||
1.87581 | − | 3.24900i | 0.0638904 | − | 0.110661i | |||||
7.50051i | 0.255320i | 0.991818 | + | 0.127660i | ||||||
−0.991818 | + | 0.127660i | ||||||||
2.17328 | + | 1.25475i | 0.0739366 | + | 0.0426873i | |||||
0.135438 | + | 0.0781951i | 0.00460503 | + | 0.00265871i | |||||
8.06472i | 0.274050i | |||||||||
18.6562 | − | 32.3135i | 0.633598 | − | 1.09742i | |||||
0 | 0 | |||||||||
1.38168 | − | 0.797714i | 0.0468703 | − | 0.0270606i | |||||
−10.6296 | −0.360376 | |||||||||
24.2054 | + | 18.0393i | 0.820170 | + | 0.611238i | |||||
−34.2800 | −1.16087 | |||||||||
19.0916 | − | 11.0225i | 0.646153 | − | 0.373057i | |||||
−15.7795 | − | 27.3309i | −0.533749 | − | 0.924481i | |||||
0 | 0 | |||||||||
2.64755i | 0.0894523i | |||||||||
−24.4996 | − | 14.1448i | −0.827291 | − | 0.477637i | 0.0256330 | − | 0.999671i | ||
−0.852924 | + | 0.522035i | ||||||||
45.8145 | + | 26.4510i | 1.54617 | + | 0.892679i | |||||
− | 23.5933i | − | 0.795781i | |||||||
−1.61640 | + | 2.79968i | −0.0544888 | + | 0.0943773i | |||||
19.7860 | + | 34.2704i | 0.666609 | + | 1.15460i | 0.978846 | + | 0.204596i | ||
−0.312238 | + | 0.950004i | ||||||||
0 | 0 | |||||||||
−28.3609 | −0.954419 | −0.477209 | − | 0.878790i | ||||||
−0.477209 | + | 0.878790i | ||||||||
−0.332179 | + | 0.445724i | −0.0111724 | + | 0.0149913i | |||||
9.09974 | 0.305884 | |||||||||
38.0174 | − | 21.9494i | 1.27722 | − | 0.737403i | |||||
−21.8593 | − | 37.8614i | −0.733963 | − | 1.27126i | −0.955177 | − | 0.296036i | ||
0.221214 | − | 0.975225i | ||||||||
41.6469 | − | 72.1345i | 1.39758 | − | 2.42068i | |||||
0 | 0 | |||||||||
−7.48649 | − | 4.32233i | −0.250948 | − | 0.144885i | |||||
−1.25918 | − | 0.726988i | −0.0421841 | − | 0.0243550i | |||||
1.01989i | 0.0341483i | |||||||||
5.62659 | − | 9.74554i | 0.188287 | − | 0.326122i | |||||
6.58913 | + | 11.4127i | 0.220374 | + | 0.381698i | |||||
4.41152 | − | 2.54699i | 0.147461 | − | 0.0851366i | |||||
0 | 0 | |||||||||
92.4934 | + | 10.8583i | 3.08826 | + | 0.362547i | |||||
−43.5257 | −1.45247 | |||||||||
−26.2422 | + | 15.1509i | −0.875227 | + | 0.505312i | |||||
−0.933105 | − | 1.61619i | −0.0311035 | − | 0.0538728i | |||||
8.66632 | − | 15.0105i | 0.288717 | − | 0.500073i | |||||
− | 9.47456i | − | 0.315468i | |||||||
0 | 0 | |||||||||
8.87439 | + | 5.12363i | 0.295158 | + | 0.170409i | |||||
− | 6.45167i | − | 0.214461i | |||||||
−24.7841 | + | 42.9274i | −0.823397 | + | 1.42617i | |||||
−18.3493 | − | 31.7818i | −0.609277 | − | 1.05530i | −0.991360 | − | 0.131171i | ||
0.382083 | − | 0.924128i | ||||||||
−0.0479154 | + | 0.0276640i | −0.00159013 | + | 0.000918062i | |||||
91.2387 | 3.02620 | |||||||||
0 | 0 | |||||||||
−35.5211 | −1.17686 | −0.588432 | − | 0.808546i | ||||||
−0.588432 | + | 0.808546i | ||||||||
−23.3823 | + | 13.4998i | −0.774265 | + | 0.447022i | |||||
−7.24254 | − | 12.5444i | −0.239693 | − | 0.415161i | |||||
−22.0562 | + | 38.2024i | −0.729553 | + | 1.26362i | |||||
19.7542i | 0.653054i | |||||||||
1.25326 | + | 0.723569i | 0.0414088 | + | 0.0239074i | |||||
0 | 0 | |||||||||
− | 15.1458i | − | 0.499885i | |||||||
−10.9667 | + | 18.9949i | −0.361758 | + | 0.626583i | −0.988250 | − | 0.152844i | ||
0.626492 | + | 0.779428i | ||||||||
−6.83449 | − | 11.8377i | −0.225327 | − | 0.390277i | |||||
20.3940 | − | 11.7745i | 0.672005 | − | 0.387982i | |||||
1.61644 | 0.0532348 | |||||||||
−2.18521 | + | 18.6142i | −0.0719272 | + | 0.612693i | |||||
0 | 0 | |||||||||
−41.9082 | + | 24.1957i | −1.37793 | + | 0.795549i | |||||
−14.0980 | − | 24.4184i | −0.463287 | − | 0.802437i | |||||
−12.5135 | + | 21.6740i | −0.410997 | + | 0.711867i | |||||
2.33984i | 0.0768090i | |||||||||
13.4383 | + | 7.75858i | 0.440895 | + | 0.254551i | 0.703977 | − | 0.710223i | ||
−0.263082 | + | 0.964773i | ||||||||
−10.1981 | − | 5.88788i | −0.334409 | − | 0.193071i | |||||
0 | 0 | |||||||||
1.05961 | − | 1.83529i | 0.0347086 | − | 0.0601171i | |||||
20.6602 | + | 35.7845i | 0.676385 | + | 1.17153i | |||||
1.88370 | − | 1.08755i | 0.0616364 | − | 0.0355858i | |||||
−1.64212 | −0.0537031 | |||||||||
6.03874 | − | 51.4394i | 0.197382 | − | 1.68135i | |||||
−40.8110 | −1.33324 | −0.666618 | − | 0.745399i | ||||||
−0.666618 | + | 0.745399i | ||||||||
0 | 0 | |||||||||
24.2067 | + | 41.9273i | 0.789957 | + | 1.36825i | |||||
0.0927572 | − | 0.160660i | 0.00302541 | − | 0.00524016i | |||||
− | 51.5936i | − | 1.68190i | −0.541109 | − | 0.840952i | ||||
0.541109 | − | 0.840952i | ||||||||
−35.1689 | − | 20.3048i | −1.14586 | − | 0.661565i | |||||
33.3186 | + | 19.2365i | 1.08500 | + | 0.626427i | |||||
23.8001i | 0.774627i | |||||||||
0 | 0 | |||||||||
−1.12248 | − | 1.94419i | −0.0364949 | − | 0.0632110i | |||||
−4.31462 | + | 2.49105i | −0.140206 | + | 0.0809482i | −0.568462 | − | 0.822709i | ||
0.428256 | + | 0.903657i | ||||||||
0.219663 | 0.00713433 | |||||||||
39.2054 | − | 16.8881i | 1.27266 | − | 0.548210i | |||||
16.3333 | 0.529921 | |||||||||
34.2608 | − | 19.7805i | 1.11098 | − | 0.641426i | |||||
0 | 0 | |||||||||
15.1163 | − | 26.1822i | 0.489664 | − | 0.848123i | −0.510265 | − | 0.860017i | ||
0.999929 | + | 0.0118941i | ||||||||
61.4657i | 1.99003i | |||||||||
5.50413 | + | 3.17781i | 0.178110 | + | 0.102832i | |||||
−1.13887 | − | 0.657525i | −0.0368336 | − | 0.0212659i | |||||
− | 24.0029i | − | 0.775904i | |||||||
5.34921 | − | 9.26511i | 0.172825 | − | 0.299342i | |||||
0 | 0 | |||||||||
−10.5295 | + | 6.07919i | −0.339837 | + | 0.196205i | |||||
−2.56939 | −0.0828835 | |||||||||
−50.7682 | − | 5.95995i | −1.63683 | − | 0.192156i | |||||
30.6306 | 0.987058 | |||||||||
1.19336 | − | 0.688988i | 0.0384356 | − | 0.0221908i | |||||
−3.01873 | − | 5.22860i | −0.0971764 | − | 0.168315i | |||||
0 | 0 | |||||||||
29.9990i | 0.964703i | 0.875978 | + | 0.482352i | ||||||
−0.875978 | + | 0.482352i | ||||||||
20.8678 | + | 12.0481i | 0.670718 | + | 0.387239i | |||||
−11.8772 | − | 6.85731i | −0.381551 | − | 0.220288i | |||||
3.18073i | 0.102127i | |||||||||
22.0620 | − | 38.2125i | 0.708003 | − | 1.22630i | −0.257594 | − | 0.966253i | ||
0.965597 | − | 0.260044i | ||||||||
0.565732 | + | 0.979876i | 0.0181459 | + | 0.0314295i | |||||
0 | 0 | |||||||||
0.105582 | 0.00338306 | |||||||||
−28.8016 | + | 38.6465i | −0.922391 | + | 1.23768i | |||||
−51.6665 | −1.65380 | |||||||||
−12.9925 | + | 7.50121i | −0.415666 | + | 0.239985i | −0.693221 | − | 0.720725i | ||
0.277555 | + | 0.960710i | ||||||||
30.8482 | + | 53.4306i | 0.986417 | + | 1.70852i | |||||
9.76037 | − | 16.9055i | 0.311943 | − | 0.540301i | |||||
0 | 0 | |||||||||
51.3577 | + | 29.6514i | 1.63973 | + | 0.946696i | |||||
−2.14506 | − | 1.23845i | −0.0684516 | − | 0.0395206i | |||||
6.01856i | 0.191962i | 0.995383 | + | 0.0959812i | ||||||
−0.995383 | + | 0.0959812i | ||||||||
17.1364 | − | 29.6812i | 0.546290 | − | 0.946202i | |||||
−0.467358 | − | 0.809488i | −0.0148913 | − | 0.0257924i | |||||
12.2299 | − | 7.06093i | 0.389479 | − | 0.224866i | |||||
0 | 0 | |||||||||
−0.569930 | − | 0.424745i | −0.0181319 | − | 0.0135129i | |||||
9.11600 | 0.289872 | |||||||||
5.04318 | − | 2.91168i | 0.160283 | − | 0.0925392i | |||||
−16.9200 | − | 29.3063i | −0.537482 | − | 0.930946i | −0.999039 | − | 0.0438356i | ||
0.461557 | − | 0.887111i | ||||||||
−1.29607 | + | 2.24487i | −0.0411504 | + | 0.0712746i | |||||
− | 19.5542i | − | 0.620535i | |||||||
0 | 0 | |||||||||
−2.96315 | − | 1.71078i | −0.0939382 | − | 0.0542353i | |||||
− | 1.99435i | − | 0.0631934i | |||||||
13.1608 | − | 22.7951i | 0.416805 | − | 0.721928i | −0.578811 | − | 0.815462i | ||
0.995616 | + | 0.0935340i | ||||||||
5.77591 | + | 10.0042i | 0.182833 | + | 0.316676i | |||||
−49.6904 | + | 28.6888i | −1.57213 | + | 0.907672i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 637.2.q.h.491.2 | 12 | ||
7.2 | even | 3 | 637.2.u.i.361.5 | 12 | |||
7.3 | odd | 6 | 637.2.k.h.569.2 | 12 | |||
7.4 | even | 3 | 637.2.k.g.569.2 | 12 | |||
7.5 | odd | 6 | 637.2.u.h.361.5 | 12 | |||
7.6 | odd | 2 | 91.2.q.a.36.2 | ✓ | 12 | ||
13.2 | odd | 12 | 8281.2.a.ch.1.1 | 6 | |||
13.4 | even | 6 | inner | 637.2.q.h.589.2 | 12 | ||
13.11 | odd | 12 | 8281.2.a.by.1.6 | 6 | |||
21.20 | even | 2 | 819.2.ct.a.127.5 | 12 | |||
28.27 | even | 2 | 1456.2.cc.c.673.1 | 12 | |||
91.4 | even | 6 | 637.2.u.i.30.5 | 12 | |||
91.17 | odd | 6 | 637.2.u.h.30.5 | 12 | |||
91.30 | even | 6 | 637.2.k.g.459.5 | 12 | |||
91.41 | even | 12 | 1183.2.a.p.1.1 | 6 | |||
91.55 | odd | 6 | 1183.2.c.i.337.3 | 12 | |||
91.62 | odd | 6 | 1183.2.c.i.337.10 | 12 | |||
91.69 | odd | 6 | 91.2.q.a.43.2 | yes | 12 | ||
91.76 | even | 12 | 1183.2.a.m.1.6 | 6 | |||
91.82 | odd | 6 | 637.2.k.h.459.5 | 12 | |||
273.251 | even | 6 | 819.2.ct.a.316.5 | 12 | |||
364.251 | even | 6 | 1456.2.cc.c.225.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.q.a.36.2 | ✓ | 12 | 7.6 | odd | 2 | ||
91.2.q.a.43.2 | yes | 12 | 91.69 | odd | 6 | ||
637.2.k.g.459.5 | 12 | 91.30 | even | 6 | |||
637.2.k.g.569.2 | 12 | 7.4 | even | 3 | |||
637.2.k.h.459.5 | 12 | 91.82 | odd | 6 | |||
637.2.k.h.569.2 | 12 | 7.3 | odd | 6 | |||
637.2.q.h.491.2 | 12 | 1.1 | even | 1 | trivial | ||
637.2.q.h.589.2 | 12 | 13.4 | even | 6 | inner | ||
637.2.u.h.30.5 | 12 | 91.17 | odd | 6 | |||
637.2.u.h.361.5 | 12 | 7.5 | odd | 6 | |||
637.2.u.i.30.5 | 12 | 91.4 | even | 6 | |||
637.2.u.i.361.5 | 12 | 7.2 | even | 3 | |||
819.2.ct.a.127.5 | 12 | 21.20 | even | 2 | |||
819.2.ct.a.316.5 | 12 | 273.251 | even | 6 | |||
1183.2.a.m.1.6 | 6 | 91.76 | even | 12 | |||
1183.2.a.p.1.1 | 6 | 91.41 | even | 12 | |||
1183.2.c.i.337.3 | 12 | 91.55 | odd | 6 | |||
1183.2.c.i.337.10 | 12 | 91.62 | odd | 6 | |||
1456.2.cc.c.225.1 | 12 | 364.251 | even | 6 | |||
1456.2.cc.c.673.1 | 12 | 28.27 | even | 2 | |||
8281.2.a.by.1.6 | 6 | 13.11 | odd | 12 | |||
8281.2.a.ch.1.1 | 6 | 13.2 | odd | 12 |