Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(391,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.391");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 980.g (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: | |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: |
Embedding invariants
Embedding label | 391.20 | ||
Character | 980.391 | ||
Dual form | 980.2.g.a.391.18 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.0982654 | + | 1.41080i | 0.0694842 | + | 0.997583i | |||||
0.662355 | 0.382411 | 0.191205 | − | 0.981550i | ||||||
0.191205 | + | 0.981550i | ||||||||
−1.98069 | + | 0.277265i | −0.990344 | + | 0.138632i | |||||
1.00000i | 0.447214i | |||||||||
0.0650866 | + | 0.934447i | 0.0265715 | + | 0.381486i | |||||
0 | 0 | |||||||||
−0.585797 | − | 2.76710i | −0.207111 | − | 0.978318i | |||||
−2.56129 | −0.853762 | |||||||||
−1.41080 | + | 0.0982654i | −0.446133 | + | 0.0310743i | |||||
− | 3.61296i | − | 1.08935i | −0.838648 | − | 0.544674i | ||||
0.838648 | − | 0.544674i | ||||||||
−1.31192 | + | 0.183648i | −0.378718 | + | 0.0530145i | |||||
− | 5.83027i | − | 1.61703i | −0.588478 | − | 0.808513i | ||||
0.588478 | − | 0.808513i | ||||||||
0 | 0 | |||||||||
0.662355i | 0.171019i | |||||||||
3.84625 | − | 1.09835i | 0.961562 | − | 0.274588i | |||||
− | 1.36813i | − | 0.331819i | −0.986141 | − | 0.165910i | ||||
0.986141 | − | 0.165910i | ||||||||
−0.251686 | − | 3.61345i | −0.0593229 | − | 0.851699i | |||||
−4.09577 | −0.939634 | −0.469817 | − | 0.882764i | ||||||
−0.469817 | + | 0.882764i | ||||||||
−0.277265 | − | 1.98069i | −0.0619983 | − | 0.442895i | |||||
0 | 0 | |||||||||
5.09715 | − | 0.355029i | 1.08672 | − | 0.0756925i | |||||
− | 3.24519i | − | 0.676669i | −0.941026 | − | 0.338334i | ||||
0.941026 | − | 0.338334i | ||||||||
−0.388005 | − | 1.83280i | −0.0792013 | − | 0.374119i | |||||
−1.00000 | −0.200000 | |||||||||
8.22532 | − | 0.572914i | 1.61312 | − | 0.112358i | |||||
−3.68354 | −0.708898 | |||||||||
0 | 0 | |||||||||
5.19327 | 0.964365 | 0.482183 | − | 0.876071i | ||||||
0.482183 | + | 0.876071i | ||||||||
−0.934447 | + | 0.0650866i | −0.170606 | + | 0.0118831i | |||||
−8.86809 | −1.59276 | −0.796378 | − | 0.604799i | ||||||
−0.796378 | + | 0.604799i | ||||||||
1.92750 | + | 5.31834i | 0.340737 | + | 0.940159i | |||||
− | 2.39306i | − | 0.416579i | |||||||
1.93014 | − | 0.134439i | 0.331017 | − | 0.0230562i | |||||
0 | 0 | |||||||||
5.07311 | − | 0.710155i | 0.845518 | − | 0.118359i | |||||
10.7958 | 1.77482 | 0.887408 | − | 0.460985i | ||||||
0.887408 | + | 0.460985i | ||||||||
−0.402472 | − | 5.77829i | −0.0652897 | − | 0.937363i | |||||
− | 3.86171i | − | 0.618368i | |||||||
2.76710 | − | 0.585797i | 0.437517 | − | 0.0926227i | |||||
0.832730i | 0.130051i | 0.997884 | + | 0.0650253i | ||||||
−0.997884 | + | 0.0650253i | ||||||||
0 | 0 | |||||||||
3.10642i | 0.473725i | 0.971543 | + | 0.236862i | ||||||
−0.971543 | + | 0.236862i | ||||||||
1.00175 | + | 7.15615i | 0.151019 | + | 1.07883i | |||||
− | 2.56129i | − | 0.381814i | |||||||
4.57830 | − | 0.318890i | 0.675033 | − | 0.0470178i | |||||
−6.89601 | −1.00589 | −0.502943 | − | 0.864319i | ||||||
−0.502943 | + | 0.864319i | ||||||||
2.54758 | − | 0.727497i | 0.367712 | − | 0.105005i | |||||
0 | 0 | |||||||||
−0.0982654 | − | 1.41080i | −0.0138968 | − | 0.199517i | |||||
− | 0.906184i | − | 0.126891i | |||||||
1.61653 | + | 11.5479i | 0.224172 | + | 1.60141i | |||||
−7.41752 | −1.01887 | −0.509437 | − | 0.860508i | ||||||
−0.509437 | + | 0.860508i | ||||||||
−0.361965 | − | 5.19673i | −0.0492572 | − | 0.707185i | |||||
3.61296 | 0.487172 | |||||||||
0 | 0 | |||||||||
−2.71285 | −0.359326 | |||||||||
0.510319 | + | 7.32664i | 0.0670081 | + | 0.962034i | |||||
7.47856 | 0.973626 | 0.486813 | − | 0.873506i | ||||||
0.486813 | + | 0.873506i | ||||||||
−0.183648 | − | 1.31192i | −0.0237088 | − | 0.169368i | |||||
− | 1.48554i | − | 0.190204i | −0.995468 | − | 0.0951022i | ||||
0.995468 | − | 0.0951022i | ||||||||
−0.871427 | − | 12.5111i | −0.110671 | − | 1.58891i | |||||
0 | 0 | |||||||||
−7.31368 | + | 3.24192i | −0.914210 | + | 0.405240i | |||||
5.83027 | 0.723156 | |||||||||
3.37612 | − | 0.235155i | 0.415572 | − | 0.0289456i | |||||
− | 2.53761i | − | 0.310018i | −0.987913 | − | 0.155009i | ||||
0.987913 | − | 0.155009i | ||||||||
0.379333 | + | 2.70983i | 0.0460009 | + | 0.328615i | |||||
− | 2.14947i | − | 0.258765i | |||||||
0 | 0 | |||||||||
− | 3.52502i | − | 0.418342i | −0.977879 | − | 0.209171i | ||||
0.977879 | − | 0.209171i | ||||||||
1.50039 | + | 7.08734i | 0.176823 | + | 0.835250i | |||||
− | 5.16984i | − | 0.605084i | −0.953136 | − | 0.302542i | ||||
0.953136 | − | 0.302542i | ||||||||
1.06085 | + | 15.2306i | 0.123322 | + | 1.77053i | |||||
−0.662355 | −0.0764821 | |||||||||
8.11244 | − | 1.13561i | 0.930561 | − | 0.130264i | |||||
0 | 0 | |||||||||
5.44808 | − | 0.379472i | 0.616873 | − | 0.0429668i | |||||
− | 11.3401i | − | 1.27586i | −0.770094 | − | 0.637931i | ||||
0.770094 | − | 0.637931i | ||||||||
1.09835 | + | 3.84625i | 0.122799 | + | 0.430024i | |||||
5.24405 | 0.582672 | |||||||||
−1.17481 | + | 0.0818286i | −0.129736 | + | 0.00903646i | |||||
−6.49145 | −0.712529 | −0.356264 | − | 0.934385i | ||||||
−0.356264 | + | 0.934385i | ||||||||
0 | 0 | |||||||||
1.36813 | 0.148394 | |||||||||
−4.38252 | + | 0.305254i | −0.472580 | + | 0.0329164i | |||||
3.43978 | 0.368783 | |||||||||
−9.99743 | + | 2.11646i | −1.06573 | + | 0.225616i | |||||
− | 9.39121i | − | 0.995466i | −0.867330 | − | 0.497733i | ||||
0.867330 | − | 0.497733i | ||||||||
3.61345 | − | 0.251686i | 0.380891 | − | 0.0265300i | |||||
0 | 0 | |||||||||
0.899777 | + | 6.42771i | 0.0938083 | + | 0.670135i | |||||
−5.87382 | −0.609087 | |||||||||
−0.677640 | − | 9.72886i | −0.0698932 | − | 1.00346i | |||||
− | 4.09577i | − | 0.420217i | |||||||
1.27669 | + | 3.52263i | 0.130302 | + | 0.359527i | |||||
0.343189i | 0.0348455i | 0.999848 | + | 0.0174228i | ||||||
−0.999848 | + | 0.0174228i | ||||||||
0 | 0 | |||||||||
9.25383i | 0.930045i | |||||||||
1.98069 | − | 0.277265i | 0.198069 | − | 0.0277265i | |||||
4.53635i | 0.451384i | 0.974199 | + | 0.225692i | ||||||
−0.974199 | + | 0.225692i | ||||||||
1.27844 | − | 0.0890466i | 0.126584 | − | 0.00881693i | |||||
−6.13812 | −0.604807 | −0.302404 | − | 0.953180i | ||||||
−0.302404 | + | 0.953180i | ||||||||
−16.1329 | + | 3.41536i | −1.58196 | + | 0.334903i | |||||
0 | 0 | |||||||||
−0.728886 | − | 10.4646i | −0.0707957 | − | 1.01641i | |||||
− | 7.66797i | − | 0.741291i | −0.928775 | − | 0.370645i | ||||
0.928775 | − | 0.370645i | ||||||||
7.29595 | − | 1.02132i | 0.702053 | − | 0.0982763i | |||||
1.29523 | 0.124061 | 0.0620304 | − | 0.998074i | ||||||
0.0620304 | + | 0.998074i | ||||||||
0.355029 | + | 5.09715i | 0.0338507 | + | 0.485994i | |||||
7.15064 | 0.678709 | |||||||||
0 | 0 | |||||||||
7.10591 | 0.668468 | 0.334234 | − | 0.942490i | ||||||
0.334234 | + | 0.942490i | ||||||||
−0.266580 | − | 3.82728i | −0.0249675 | − | 0.358457i | |||||
3.24519 | 0.302616 | |||||||||
−10.2862 | + | 1.43991i | −0.955053 | + | 0.133692i | |||||
14.9330i | 1.38056i | |||||||||
0.734884 | + | 10.5507i | 0.0676516 | + | 0.971273i | |||||
0 | 0 | |||||||||
1.83280 | − | 0.388005i | 0.167311 | − | 0.0354199i | |||||
−2.05349 | −0.186681 | |||||||||
2.09580 | − | 0.145978i | 0.189745 | − | 0.0132162i | |||||
0.551563i | 0.0497327i | |||||||||
17.5649 | − | 2.45881i | 1.57738 | − | 0.220808i | |||||
− | 1.00000i | − | 0.0894427i | |||||||
0 | 0 | |||||||||
17.0178i | 1.51008i | 0.655677 | + | 0.755041i | ||||||
−0.655677 | + | 0.755041i | ||||||||
−5.29237 | − | 9.99954i | −0.467784 | − | 0.883843i | |||||
2.05755i | 0.181157i | |||||||||
0.572914 | + | 8.22532i | 0.0502479 | + | 0.721408i | |||||
−1.20613 | −0.105380 | −0.0526901 | − | 0.998611i | ||||||
−0.0526901 | + | 0.998611i | ||||||||
0.663512 | + | 4.73991i | 0.0577513 | + | 0.412556i | |||||
0 | 0 | |||||||||
3.58005 | − | 0.249359i | 0.309269 | − | 0.0215414i | |||||
− | 3.68354i | − | 0.317029i | |||||||
−3.78574 | + | 0.801444i | −0.324624 | + | 0.0687233i | |||||
2.14490 | 0.183252 | 0.0916258 | − | 0.995794i | ||||||
0.0916258 | + | 0.995794i | ||||||||
3.03246 | − | 0.211218i | 0.258140 | − | 0.0179801i | |||||
3.39555 | 0.288007 | 0.144004 | − | 0.989577i | ||||||
0.144004 | + | 0.989577i | ||||||||
0 | 0 | |||||||||
−4.56761 | −0.384662 | |||||||||
4.97308 | − | 0.346387i | 0.417331 | − | 0.0290682i | |||||
−21.0645 | −1.76151 | |||||||||
−9.85134 | + | 2.81319i | −0.820945 | + | 0.234432i | |||||
5.19327i | 0.431277i | |||||||||
7.29359 | − | 0.508017i | 0.603622 | − | 0.0420438i | |||||
0 | 0 | |||||||||
−21.3831 | + | 2.99329i | −1.75768 | + | 0.246047i | |||||
−19.0864 | −1.56362 | −0.781808 | − | 0.623519i | ||||||
−0.781808 | + | 0.623519i | ||||||||
−0.0650866 | − | 0.934447i | −0.00531430 | − | 0.0762973i | |||||
9.60595i | 0.781721i | 0.920450 | + | 0.390861i | ||||||
−0.920450 | + | 0.390861i | ||||||||
2.39929 | + | 11.3334i | 0.194608 | + | 0.919260i | |||||
3.50416i | 0.283295i | |||||||||
0 | 0 | |||||||||
− | 8.86809i | − | 0.712302i | |||||||
1.07072 | + | 7.64883i | 0.0857258 | + | 0.612397i | |||||
16.4624i | 1.31384i | 0.753961 | + | 0.656919i | ||||||
−0.753961 | + | 0.656919i | ||||||||
15.9986 | − | 1.11434i | 1.27278 | − | 0.0886522i | |||||
−4.91303 | −0.389629 | |||||||||
−5.31834 | + | 1.92750i | −0.420452 | + | 0.152382i | |||||
0 | 0 | |||||||||
0.515309 | + | 7.39828i | 0.0404865 | + | 0.581264i | |||||
7.15612i | 0.560510i | 0.959926 | + | 0.280255i | ||||||
−0.959926 | + | 0.280255i | ||||||||
−0.230887 | − | 1.64938i | −0.0180292 | − | 0.128795i | |||||
2.39306 | 0.186300 | |||||||||
−0.637885 | − | 9.15810i | −0.0495095 | − | 0.710807i | |||||
−13.7127 | −1.06112 | −0.530562 | − | 0.847646i | ||||||
−0.530562 | + | 0.847646i | ||||||||
0 | 0 | |||||||||
−20.9920 | −1.61477 | |||||||||
0.134439 | + | 1.93014i | 0.0103110 | + | 0.148035i | |||||
10.4904 | 0.802224 | |||||||||
−0.861301 | − | 6.15285i | −0.0656736 | − | 0.469150i | |||||
− | 3.92439i | − | 0.298366i | −0.988810 | − | 0.149183i | ||||
0.988810 | − | 0.149183i | ||||||||
0.338012 | + | 4.85283i | 0.0256246 | + | 0.367892i | |||||
0 | 0 | |||||||||
−3.96830 | − | 13.8963i | −0.299122 | − | 1.04748i | |||||
4.95346 | 0.372325 | |||||||||
13.2491 | − | 0.922831i | 0.993060 | − | 0.0691691i | |||||
− | 20.5539i | − | 1.53627i | −0.640289 | − | 0.768134i | ||||
0.640289 | − | 0.768134i | ||||||||
0.710155 | + | 5.07311i | 0.0529318 | + | 0.378127i | |||||
13.0603i | 0.970762i | 0.874303 | + | 0.485381i | ||||||
−0.874303 | + | 0.485381i | ||||||||
0 | 0 | |||||||||
− | 0.983957i | − | 0.0727362i | |||||||
−8.97976 | + | 1.90102i | −0.661997 | + | 0.140145i | |||||
10.7958i | 0.793722i | |||||||||
−0.577194 | − | 8.28676i | −0.0423219 | − | 0.607615i | |||||
−4.94298 | −0.361467 | |||||||||
13.6588 | − | 1.91202i | 0.996174 | − | 0.139449i | |||||
0 | 0 | |||||||||
5.77829 | − | 0.402472i | 0.419201 | − | 0.0291984i | |||||
− | 12.4751i | − | 0.902667i | −0.892355 | − | 0.451334i | ||||
0.892355 | − | 0.451334i | ||||||||
−4.84425 | + | 2.14730i | −0.349604 | + | 0.154968i | |||||
19.0645 | 1.37229 | 0.686147 | − | 0.727463i | ||||||
0.686147 | + | 0.727463i | ||||||||
−0.484169 | + | 0.0337236i | −0.0347613 | + | 0.00242121i | |||||
3.86171 | 0.276543 | |||||||||
0 | 0 | |||||||||
1.93188 | 0.137641 | 0.0688203 | − | 0.997629i | ||||||
0.0688203 | + | 0.997629i | ||||||||
−13.0553 | + | 0.909332i | −0.927797 | + | 0.0646234i | |||||
20.5646 | 1.45778 | 0.728892 | − | 0.684629i | ||||||
0.728892 | + | 0.684629i | ||||||||
0.585797 | + | 2.76710i | 0.0414221 | + | 0.195664i | |||||
− | 1.68080i | − | 0.118554i | |||||||
−6.39986 | + | 0.445766i | −0.450293 | + | 0.0313640i | |||||
0 | 0 | |||||||||
0.251253 | + | 1.79487i | 0.0175912 | + | 0.125666i | |||||
−0.832730 | −0.0581604 | |||||||||
−0.603165 | − | 8.65963i | −0.0420245 | − | 0.603345i | |||||
8.31186i | 0.577714i | |||||||||
−6.40368 | − | 22.4247i | −0.444015 | − | 1.55487i | |||||
14.7979i | 1.02359i | |||||||||
0 | 0 | |||||||||
− | 9.98398i | − | 0.687326i | −0.939093 | − | 0.343663i | ||||
0.939093 | − | 0.343663i | ||||||||
14.6918 | − | 2.05662i | 1.00904 | − | 0.141249i | |||||
− | 2.33481i | − | 0.159979i | |||||||
10.8179 | − | 0.753496i | 0.739499 | − | 0.0515079i | |||||
−3.10642 | −0.211856 | |||||||||
2.15781 | + | 10.1927i | 0.146820 | + | 0.693528i | |||||
0 | 0 | |||||||||
0.127277 | + | 1.82731i | 0.00862026 | + | 0.123761i | |||||
− | 3.42427i | − | 0.231391i | |||||||
−7.15615 | + | 1.00175i | −0.482467 | + | 0.0675378i | |||||
−7.97654 | −0.536560 | |||||||||
0.702661 | + | 10.0881i | 0.0471595 | + | 0.677068i | |||||
−16.8179 | −1.12621 | −0.563106 | − | 0.826384i | ||||||
−0.563106 | + | 0.826384i | ||||||||
0 | 0 | |||||||||
2.56129 | 0.170752 | |||||||||
0.698266 | + | 10.0250i | 0.0464479 | + | 0.666852i | |||||
−19.8338 | −1.31642 | −0.658209 | − | 0.752835i | ||||||
−0.658209 | + | 0.752835i | ||||||||
5.37331 | − | 0.752178i | 0.355856 | − | 0.0498142i | |||||
− | 13.9331i | − | 0.920725i | −0.887731 | − | 0.460363i | ||||
0.887731 | − | 0.460363i | ||||||||
0.318890 | + | 4.57830i | 0.0210270 | + | 0.301884i | |||||
0 | 0 | |||||||||
−3.04220 | − | 14.3703i | −0.199730 | − | 0.943455i | |||||
10.2257 | 0.669905 | 0.334953 | − | 0.942235i | ||||||
0.334953 | + | 0.942235i | ||||||||
−21.0674 | + | 1.46740i | −1.37722 | + | 0.0959267i | |||||
− | 6.89601i | − | 0.449846i | |||||||
−14.8127 | + | 2.07354i | −0.964225 | + | 0.134976i | |||||
− | 7.51117i | − | 0.487903i | |||||||
0 | 0 | |||||||||
− | 17.0835i | − | 1.10504i | −0.833501 | − | 0.552518i | ||||
0.833501 | − | 0.552518i | ||||||||
0.727497 | + | 2.54758i | 0.0469598 | + | 0.164446i | |||||
− | 18.4837i | − | 1.19064i | −0.803489 | − | 0.595320i | ||||
0.803489 | − | 0.595320i | ||||||||
−0.201787 | − | 2.89705i | −0.0129714 | − | 0.186230i | |||||
14.5241 | 0.931718 | |||||||||
0.411889 | + | 2.94240i | 0.0263685 | + | 0.188368i | |||||
0 | 0 | |||||||||
−0.778142 | + | 0.0541995i | −0.0496125 | + | 0.00345564i | |||||
23.8794i | 1.51941i | |||||||||
5.19490 | + | 24.5389i | 0.329877 | + | 1.55822i | |||||
−4.29964 | −0.272479 | |||||||||
1.41080 | − | 0.0982654i | 0.0892265 | − | 0.00621485i | |||||
−16.5313 | −1.04344 | −0.521722 | − | 0.853116i | ||||||
−0.521722 | + | 0.853116i | ||||||||
0 | 0 | |||||||||
−11.7247 | −0.737128 | |||||||||
−24.0086 | + | 1.67226i | −1.50643 | + | 0.104927i | |||||
0.906184 | 0.0567475 | |||||||||
13.5873 | − | 8.44906i | 0.849203 | − | 0.528066i | |||||
6.19499i | 0.386433i | 0.981156 | + | 0.193216i | ||||||
−0.981156 | + | 0.193216i | ||||||||
−2.90279 | + | 0.202186i | −0.180720 | + | 0.0125876i | |||||
0 | 0 | |||||||||
−11.5479 | + | 1.61653i | −0.716173 | + | 0.100253i | |||||
−13.3014 | −0.823338 | |||||||||
−0.118521 | − | 1.70161i | −0.00732226 | − | 0.105126i | |||||
21.1536i | 1.30439i | 0.758053 | + | 0.652194i | ||||||
−0.758053 | + | 0.652194i | ||||||||
−6.62184 | + | 1.40185i | −0.407546 | + | 0.0862778i | |||||
− | 7.41752i | − | 0.455655i | |||||||
0 | 0 | |||||||||
− | 6.22031i | − | 0.380677i | |||||||
0.703590 | + | 5.02621i | 0.0429786 | + | 0.307025i | |||||
− | 30.9866i | − | 1.88928i | −0.328102 | − | 0.944642i | ||||
0.328102 | − | 0.944642i | ||||||||
5.19673 | − | 0.361965i | 0.316263 | − | 0.0220285i | |||||
23.0381 | 1.39946 | 0.699732 | − | 0.714405i | ||||||
0.699732 | + | 0.714405i | ||||||||
−1.50268 | − | 5.26215i | −0.0911134 | − | 0.319065i | |||||
0 | 0 | |||||||||
0.210770 | + | 3.02602i | 0.0127331 | + | 0.182809i | |||||
3.61296i | 0.217870i | |||||||||
0.595972 | + | 4.25742i | 0.0358733 | + | 0.256267i | |||||
6.94562 | 0.417322 | 0.208661 | − | 0.977988i | ||||||
0.208661 | + | 0.977988i | ||||||||
0.333665 | + | 4.79043i | 0.0200119 | + | 0.287311i | |||||
22.7137 | 1.35984 | |||||||||
0 | 0 | |||||||||
−4.24391 | −0.253170 | −0.126585 | − | 0.991956i | ||||||
−0.126585 | + | 0.991956i | ||||||||
−0.448838 | − | 6.44396i | −0.0267279 | − | 0.383732i | |||||
−8.53198 | −0.507174 | −0.253587 | − | 0.967313i | ||||||
−0.253587 | + | 0.967313i | ||||||||
0.977363 | + | 6.98195i | 0.0579958 | + | 0.414303i | |||||
− | 2.71285i | − | 0.160695i | |||||||
−2.06992 | − | 29.7178i | −0.122397 | − | 1.75725i | |||||
0 | 0 | |||||||||
−4.93688 | − | 13.6218i | −0.290909 | − | 0.802672i | |||||
15.1282 | 0.889896 | |||||||||
−7.32664 | + | 0.510319i | −0.430235 | + | 0.0299669i | |||||
0.227313i | 0.0133253i | |||||||||
1.43342 | + | 10.2398i | 0.0838843 | + | 0.599241i | |||||
25.2319i | 1.47406i | 0.675857 | + | 0.737032i | ||||||
−0.675857 | + | 0.737032i | ||||||||
0 | 0 | |||||||||
7.47856i | 0.435419i | |||||||||
−6.32414 | − | 29.8730i | −0.367583 | − | 1.73633i | |||||
13.3085i | 0.772238i | |||||||||
−1.87553 | − | 26.9270i | −0.108647 | − | 1.55984i | |||||
−18.9203 | −1.09419 | |||||||||
1.31192 | − | 0.183648i | 0.0757436 | − | 0.0106029i | |||||
0 | 0 | |||||||||
−13.5520 | + | 0.943933i | −0.779832 | + | 0.0543172i | |||||
3.00467i | 0.172614i | |||||||||
−15.7533 | + | 4.49859i | −0.903516 | + | 0.258012i | |||||
1.48554 | 0.0850620 | |||||||||
−4.94365 | + | 0.344338i | −0.282610 | + | 0.0196845i | |||||
29.2635 | 1.67016 | 0.835078 | − | 0.550132i | ||||||
0.835078 | + | 0.550132i | ||||||||
0 | 0 | |||||||||
−4.06561 | −0.231285 | |||||||||
12.5111 | − | 0.871427i | 0.710581 | − | 0.0494937i | |||||
−22.7461 | −1.28981 | −0.644906 | − | 0.764262i | ||||||
−0.644906 | + | 0.764262i | ||||||||
−10.6857 | + | 2.26218i | −0.604960 | + | 0.128071i | |||||
− | 6.58481i | − | 0.372195i | −0.982531 | − | 0.186098i | ||||
0.982531 | − | 0.186098i | ||||||||
−23.2250 | + | 1.61768i | −1.31066 | + | 0.0912910i | |||||
0 | 0 | |||||||||
3.14421 | + | 22.4612i | 0.176876 | + | 1.26354i | |||||
−14.1217 | −0.793154 | −0.396577 | − | 0.918001i | ||||||
−0.396577 | + | 0.918001i | ||||||||
−0.482781 | − | 6.93128i | −0.0270730 | − | 0.388687i | |||||
− | 18.7631i | − | 1.05053i | |||||||
−3.24192 | − | 7.31368i | −0.181229 | − | 0.408847i | |||||
− | 5.07891i | − | 0.283477i | |||||||
0 | 0 | |||||||||
5.60352i | 0.311788i | |||||||||
−10.3868 | + | 1.45399i | −0.577046 | + | 0.0807772i | |||||
5.83027i | 0.323405i | |||||||||
−10.0958 | + | 0.703199i | −0.559155 | + | 0.0389466i | |||||
0.857903 | 0.0474422 | |||||||||
2.30425 | − | 0.487811i | 0.127231 | − | 0.0269349i | |||||
0 | 0 | |||||||||
0.235155 | + | 3.37612i | 0.0129449 | + | 0.185849i | |||||
20.3224i | 1.11702i | 0.829498 | + | 0.558510i | ||||||
−0.829498 | + | 0.558510i | ||||||||
12.8575 | − | 1.79985i | 0.705649 | − | 0.0987796i | |||||
−27.6511 | −1.51527 | |||||||||
−1.34749 | − | 19.3459i | −0.0737313 | − | 1.05856i | |||||
2.53761 | 0.138644 | |||||||||
0 | 0 | |||||||||
15.7704 | 0.859067 | 0.429533 | − | 0.903051i | ||||||
0.429533 | + | 0.903051i | ||||||||
−2.06279 | − | 29.6155i | −0.112201 | − | 1.61087i | |||||
4.70663 | 0.255629 | |||||||||
−2.70983 | + | 0.379333i | −0.146961 | + | 0.0205722i | |||||
32.0401i | 1.73507i | |||||||||
1.03085 | + | 14.7999i | 0.0557418 | + | 0.800285i | |||||
0 | 0 | |||||||||
8.59578 | − | 1.81973i | 0.463453 | − | 0.0981134i | |||||
2.14947 | 0.115723 | |||||||||
5.53651 | − | 0.385632i | 0.297644 | − | 0.0207317i | |||||
3.04784i | 0.163616i | 0.996648 | + | 0.0818082i | ||||||
−0.996648 | + | 0.0818082i | ||||||||
−6.81314 | + | 0.953731i | −0.365222 | + | 0.0511254i | |||||
8.40462i | 0.449889i | 0.974372 | + | 0.224944i | ||||||
−0.974372 | + | 0.224944i | ||||||||
0 | 0 | |||||||||
21.4761i | 1.14631i | |||||||||
19.2150 | − | 6.96399i | 1.02416 | − | 0.371182i | |||||
0.432821i | 0.0230367i | 0.999934 | + | 0.0115184i | ||||||
−0.999934 | + | 0.0115184i | ||||||||
0.486754 | + | 6.98832i | 0.0258707 | + | 0.371425i | |||||
3.52502 | 0.187088 | |||||||||
2.60385 | + | 18.6011i | 0.138004 | + | 0.985854i | |||||
0 | 0 | |||||||||
28.9973 | − | 2.01973i | 1.53255 | − | 0.106746i | |||||
26.9810i | 1.42400i | 0.702178 | + | 0.712002i | ||||||
−0.702178 | + | 0.712002i | ||||||||
−7.08734 | + | 1.50039i | −0.373535 | + | 0.0790777i | |||||
−2.22468 | −0.117088 | |||||||||
−18.4254 | + | 1.28337i | −0.968415 | + | 0.0674526i | |||||
−1.36014 | −0.0713888 | |||||||||
0 | 0 | |||||||||
5.16984 | 0.270602 | |||||||||
1.38816 | − | 0.0966889i | 0.0725604 | − | 0.00505401i | |||||
20.8212 | 1.08686 | 0.543430 | − | 0.839455i | ||||||
0.543430 | + | 0.839455i | ||||||||
−3.56436 | − | 12.4818i | −0.185805 | − | 0.650659i | |||||
− | 2.13286i | − | 0.111032i | |||||||
−15.2306 | + | 1.06085i | −0.791804 | + | 0.0551511i | |||||
0 | 0 | |||||||||
11.6342 | − | 1.62860i | 0.603206 | − | 0.0844392i | |||||
−17.6614 | −0.914475 | −0.457237 | − | 0.889345i | ||||||
−0.457237 | + | 0.889345i | ||||||||
−0.485724 | − | 6.97354i | −0.0251162 | − | 0.360593i | |||||
− | 0.662355i | − | 0.0342038i | |||||||
4.03966 | + | 19.0820i | 0.208330 | + | 0.984077i | |||||
− | 30.2781i | − | 1.55940i | |||||||
0 | 0 | |||||||||
− | 15.0551i | − | 0.773331i | −0.922220 | − | 0.386665i | ||||
0.922220 | − | 0.386665i | ||||||||
1.13561 | + | 8.11244i | 0.0582557 | + | 0.416159i | |||||
11.2718i | 0.577472i | |||||||||
17.5998 | − | 1.22587i | 0.900486 | − | 0.0627211i | |||||
30.3505 | 1.55084 | 0.775420 | − | 0.631446i | ||||||
0.775420 | + | 0.631446i | ||||||||
−3.50542 | − | 6.62324i | −0.178885 | − | 0.337991i | |||||
0 | 0 | |||||||||
1.87338 | + | 26.8961i | 0.0953527 | + | 1.36898i | |||||
− | 7.95643i | − | 0.404448i | |||||||
−0.0951542 | − | 0.679750i | −0.00483072 | − | 0.0345091i | |||||
−6.27818 | −0.318316 | −0.159158 | − | 0.987253i | ||||||
−0.159158 | + | 0.987253i | ||||||||
0.379472 | + | 5.44808i | 0.0192153 | + | 0.275874i | |||||
−4.43983 | −0.224532 | |||||||||
0 | 0 | |||||||||
−0.798887 | −0.0402985 | |||||||||
0.189837 | + | 2.72549i | 0.00956384 | + | 0.137308i | |||||
11.3401 | 0.570583 | |||||||||
−2.56576 | − | 18.3289i | −0.128934 | − | 0.921064i | |||||
9.72207i | 0.487937i | 0.969783 | + | 0.243968i | ||||||
−0.969783 | + | 0.243968i | ||||||||
2.02079 | + | 29.0124i | 0.101293 | + | 1.45426i | |||||
0 | 0 | |||||||||
−3.84625 | + | 1.09835i | −0.192312 | + | 0.0549175i | |||||
6.98744 | 0.348936 | 0.174468 | − | 0.984663i | ||||||
0.174468 | + | 0.984663i | ||||||||
2.37126 | − | 0.165164i | 0.118268 | − | 0.00823764i | |||||
51.7034i | 2.57553i | |||||||||
−1.25777 | − | 8.98509i | −0.0625764 | − | 0.447025i | |||||
5.24405i | 0.260579i | |||||||||
0 | 0 | |||||||||
− | 39.0048i | − | 1.93339i | |||||||
−2.50750 | + | 0.530840i | −0.124140 | + | 0.0262805i | |||||
2.24559i | 0.111037i | 0.998458 | + | 0.0555186i | ||||||
−0.998458 | + | 0.0555186i | ||||||||
−0.0818286 | − | 1.17481i | −0.00404123 | − | 0.0580198i | |||||
1.42069 | 0.0700773 | |||||||||
12.1577 | − | 1.70189i | 0.598967 | − | 0.0838459i | |||||
0 | 0 | |||||||||
−11.7263 | + | 0.816769i | −0.576318 | + | 0.0401420i | |||||
− | 6.49145i | − | 0.318653i | |||||||
31.0074 | − | 11.2379i | 1.52026 | − | 0.550981i | |||||
2.24906 | 0.110137 | |||||||||
−20.8767 | + | 1.45412i | −1.02111 | + | 0.0711232i | |||||
18.3565 | 0.896775 | 0.448388 | − | 0.893839i | ||||||
0.448388 | + | 0.893839i | ||||||||
0 | 0 | |||||||||
2.27310 | 0.110784 | 0.0553921 | − | 0.998465i | ||||||
0.0553921 | + | 0.998465i | ||||||||
14.0854 | − | 0.981080i | 0.685664 | − | 0.0477582i | |||||
17.6627 | 0.858788 | |||||||||
4.34516 | + | 20.5250i | 0.211020 | + | 0.996783i | |||||
1.36813i | 0.0663638i | |||||||||
3.29394 | − | 0.229431i | 0.159592 | − | 0.0111160i | |||||
0 | 0 | |||||||||
2.12606 | + | 15.1879i | 0.102767 | + | 0.734133i | |||||
−13.9522 | −0.673618 | |||||||||
−0.305254 | − | 4.38252i | −0.0147206 | − | 0.211344i | |||||
12.8610i | 0.619490i | 0.950820 | + | 0.309745i | ||||||
−0.950820 | + | 0.309745i | ||||||||
−14.1678 | + | 4.04582i | −0.681650 | + | 0.194655i | |||||
− | 33.6307i | − | 1.61619i | −0.589054 | − | 0.808094i | ||||
0.589054 | − | 0.808094i | ||||||||
0 | 0 | |||||||||
3.43978i | 0.164925i | |||||||||
−2.56545 | + | 0.359122i | −0.122863 | + | 0.0171988i | |||||
13.2915i | 0.635821i | |||||||||
4.83094 | − | 0.336487i | 0.230831 | − | 0.0160780i | |||||
24.8870 | 1.18779 | 0.593896 | − | 0.804542i | ||||||
0.593896 | + | 0.804542i | ||||||||
−2.11646 | − | 9.99743i | −0.100898 | − | 0.476609i | |||||
0 | 0 | |||||||||
−0.783818 | − | 11.2533i | −0.0372824 | − | 0.535263i | |||||
7.94772i | 0.377608i | 0.982015 | + | 0.188804i | ||||||
−0.982015 | + | 0.188804i | ||||||||
−14.1632 | + | 1.98262i | −0.672155 | + | 0.0940910i | |||||
9.39121 | 0.445186 | |||||||||
−1.65262 | − | 23.7267i | −0.0782540 | − | 1.12349i | |||||
−12.6420 | −0.597944 | |||||||||
0 | 0 | |||||||||
14.3027 | 0.674988 | 0.337494 | − | 0.941328i | ||||||
0.337494 | + | 0.941328i | ||||||||
0.251686 | + | 3.61345i | 0.0118646 | + | 0.170340i | |||||
3.00862 | 0.141670 | |||||||||
−14.0746 | + | 1.97022i | −0.662013 | + | 0.0926714i | |||||
6.36255i | 0.298939i | |||||||||
−1.94898 | − | 27.9815i | −0.0914702 | − | 1.31324i | |||||
0 | 0 | |||||||||
1.58918 | + | 7.50673i | 0.0744202 | + | 0.351535i | |||||
22.1786 | 1.03747 | 0.518737 | − | 0.854934i | ||||||
0.518737 | + | 0.854934i | ||||||||
19.6568 | − | 1.36914i | 0.918500 | − | 0.0639758i | |||||
5.03955i | 0.235226i | |||||||||
−6.42771 | + | 0.899777i | −0.299693 | + | 0.0419523i | |||||
− | 32.8587i | − | 1.53038i | −0.643803 | − | 0.765192i | ||||
0.643803 | − | 0.765192i | ||||||||
0 | 0 | |||||||||
3.31392i | 0.154011i | 0.997031 | + | 0.0770055i | ||||||
−0.997031 | + | 0.0770055i | ||||||||
19.9746 | − | 5.70402i | 0.927297 | − | 0.264803i | |||||
− | 5.87382i | − | 0.272392i | |||||||
1.00483 | + | 14.4263i | 0.0465478 | + | 0.668286i | |||||
35.1334 | 1.62578 | 0.812890 | − | 0.582417i | ||||||
0.812890 | + | 0.582417i | ||||||||
−4.14039 | − | 29.5776i | −0.191390 | − | 1.36722i | |||||
0 | 0 | |||||||||
9.72886 | − | 0.677640i | 0.448759 | − | 0.0312572i | |||||
10.9039i | 0.502426i | |||||||||
−4.38092 | − | 20.6939i | −0.201648 | − | 0.952516i | |||||
11.2234 | 0.516051 | |||||||||
10.5967 | − | 0.738088i | 0.486724 | − | 0.0339015i | |||||
4.09577 | 0.187927 | |||||||||
0 | 0 | |||||||||
18.9984 | 0.869877 | |||||||||
24.1013 | − | 1.67871i | 1.10237 | − | 0.0767825i | |||||
22.3266 | 1.02013 | 0.510065 | − | 0.860136i | ||||||
0.510065 | + | 0.860136i | ||||||||
−3.52263 | + | 1.27669i | −0.160785 | + | 0.0582726i | |||||
− | 62.9423i | − | 2.86992i | |||||||
26.0767 | − | 1.81631i | 1.18776 | − | 0.0827306i | |||||
0 | 0 | |||||||||
4.06732 | − | 0.569361i | 0.184878 | − | 0.0258800i | |||||
−0.343189 | −0.0155834 | |||||||||
1.42721 | + | 20.4905i | 0.0647397 | + | 0.929466i | |||||
7.18519i | 0.325592i | 0.986660 | + | 0.162796i | ||||||
−0.986660 | + | 0.162796i | ||||||||
−4.11065 | + | 0.870227i | −0.186080 | + | 0.0393933i | |||||
4.73989i | 0.214345i | |||||||||
0 | 0 | |||||||||
5.80059i | 0.261777i | 0.991397 | + | 0.130889i | ||||||
−0.991397 | + | 0.130889i | ||||||||
−0.152929 | − | 1.09247i | −0.00689457 | − | 0.0492525i | |||||
− | 7.10504i | − | 0.319995i | |||||||
−33.6890 | + | 2.34652i | −1.51574 | + | 0.105575i | |||||
−9.25383 | −0.415929 | |||||||||
−34.1089 | + | 9.74027i | −1.53153 | + | 0.437351i | |||||
0 | 0 | |||||||||
−0.422506 | − | 6.06591i | −0.0189329 | − | 0.271820i | |||||
− | 39.6601i | − | 1.77543i | −0.460394 | − | 0.887715i | ||||
0.460394 | − | 0.887715i | ||||||||
0.277265 | + | 1.98069i | 0.0123997 | + | 0.0885791i | |||||
−9.08270 | −0.405785 | |||||||||
−1.62445 | − | 23.3222i | −0.0725028 | − | 1.04092i | |||||
−8.22384 | −0.366683 | −0.183341 | − | 0.983049i | ||||||
−0.183341 | + | 0.983049i | ||||||||
0 | 0 | |||||||||
−4.53635 | −0.201865 | |||||||||
−1.15214 | − | 16.5412i | −0.0512187 | − | 0.735347i | |||||
−13.9042 | −0.617506 | |||||||||
−4.71843 | − | 33.7069i | −0.209346 | − | 1.49550i | |||||
32.5719i | 1.44373i | 0.692036 | + | 0.721863i | ||||||
−0.692036 | + | 0.721863i | ||||||||
0.0890466 | + | 1.27844i | 0.00394305 | + | 0.0566103i | |||||
0 | 0 | |||||||||
13.2550 | + | 18.3386i | 0.585796 | + | 0.810459i | |||||
15.0869 | 0.666105 | |||||||||
−8.73986 | + | 0.608753i | −0.385499 | + | 0.0268509i | |||||
− | 6.13812i | − | 0.270478i | |||||||
−0.570487 | − | 4.07537i | −0.0251143 | − | 0.179408i | |||||
24.9150i | 1.09576i | |||||||||
0 | 0 | |||||||||
− | 2.59934i | − | 0.114098i | |||||||
−3.41536 | − | 16.1329i | −0.149773 | − | 0.707476i | |||||
− | 5.64398i | − | 0.247267i | −0.992328 | − | 0.123634i | ||||
0.992328 | − | 0.123634i | ||||||||
−1.30707 | − | 18.7656i | −0.0572090 | − | 0.821348i | |||||
2.73410 | 0.119554 | 0.0597770 | − | 0.998212i | ||||||
0.0597770 | + | 0.998212i | ||||||||
2.38897 | − | 0.334418i | 0.104363 | − | 0.0146091i | |||||
0 | 0 | |||||||||
−29.8434 | + | 2.07867i | −1.30123 | + | 0.0906342i | |||||
12.1327i | 0.528507i | |||||||||
−2.62842 | − | 9.20431i | −0.114387 | − | 0.400566i | |||||
12.4687 | 0.542119 | |||||||||
10.4646 | − | 0.728886i | 0.454553 | − | 0.0316608i | |||||
−19.1547 | −0.831245 | |||||||||
0 | 0 | |||||||||
4.85504 | 0.210295 | |||||||||
8.77559 | − | 0.611242i | 0.379757 | − | 0.0264510i | |||||
7.66797 | 0.331515 | |||||||||
−7.02182 | + | 1.48652i | −0.303296 | + | 0.0642081i | |||||
− | 13.6139i | − | 0.587485i | |||||||
43.7157 | − | 3.04491i | 1.88472 | − | 0.131275i | |||||
0 | 0 | |||||||||
1.02132 | + | 7.29595i | 0.0439505 | + | 0.313968i | |||||
28.2999 | 1.21671 | 0.608355 | − | 0.793665i | ||||||
0.608355 | + | 0.793665i | ||||||||
2.26385 | + | 32.5020i | 0.0972406 | + | 1.39608i | |||||
8.65052i | 0.371230i | |||||||||
7.27616 | − | 2.63706i | 0.311963 | − | 0.113063i | |||||
1.29523i | 0.0554817i | |||||||||
0 | 0 | |||||||||
20.7596i | 0.887616i | 0.896122 | + | 0.443808i | ||||||
−0.896122 | + | 0.443808i | ||||||||
−4.24839 | + | 0.594707i | −0.181482 | + | 0.0254046i | |||||
3.80490i | 0.162389i | |||||||||
−5.09715 | + | 0.355029i | −0.217343 | + | 0.0151385i | |||||
−21.2704 | −0.906150 | |||||||||
−5.94779 | + | 1.25915i | −0.253155 | + | 0.0535930i | |||||
0 | 0 | |||||||||
0.682514 | + | 9.79885i | 0.0289973 | + | 0.416313i | |||||
7.15064i | 0.303528i | |||||||||
−6.72553 | + | 0.941468i | −0.285226 | + | 0.0399271i | |||||
−18.7575 | −0.794781 | −0.397391 | − | 0.917650i | ||||||
−0.397391 | + | 0.917650i | ||||||||
2.23197 | + | 32.0444i | 0.0944870 | + | 1.35655i | |||||
18.1113 | 0.766025 | |||||||||
0 | 0 | |||||||||
−3.27401 | −0.138229 | |||||||||
−0.417029 | − | 5.98728i | −0.0175913 | − | 0.252558i | |||||
−33.3740 | −1.40655 | −0.703274 | − | 0.710919i | ||||||
−0.703274 | + | 0.710919i | ||||||||
9.04700 | − | 1.26644i | 0.380947 | − | 0.0533266i | |||||
7.10591i | 0.298948i | |||||||||
−0.838399 | − | 12.0369i | −0.0352405 | − | 0.505948i | |||||
0 | 0 | |||||||||
−9.75407 | + | 2.06494i | −0.409272 | + | 0.0866431i | |||||
13.0300 | 0.546247 | 0.273124 | − | 0.961979i | ||||||
0.273124 | + | 0.961979i | ||||||||
3.82728 | − | 0.266580i | 0.160307 | − | 0.0111658i | |||||
32.9558i | 1.37916i | 0.724211 | + | 0.689579i | ||||||
−0.724211 | + | 0.689579i | ||||||||
41.7223 | − | 5.84046i | 1.74450 | − | 0.244202i | |||||
− | 8.26295i | − | 0.345190i | |||||||
0 | 0 | |||||||||
3.24519i | 0.135334i | |||||||||
18.7324 | − | 8.30348i | 0.780518 | − | 0.345978i | |||||
− | 36.3874i | − | 1.51483i | −0.652935 | − | 0.757414i | ||||
0.652935 | − | 0.757414i | ||||||||
1.48658 | + | 21.3428i | 0.0618337 | + | 0.887745i | |||||
12.6275 | 0.524780 | |||||||||
−1.43991 | − | 10.2862i | −0.0597890 | − | 0.427113i | |||||
0 | 0 | |||||||||
−0.320692 | + | 0.0223370i | −0.0132931 | + | 0.000925898i | |||||
26.7992i | 1.10991i | |||||||||
−14.3055 | + | 3.02848i | −0.591964 | + | 0.125319i | |||||
−14.9330 | −0.617403 | |||||||||
−35.5971 | + | 2.47943i | −1.47050 | + | 0.102424i | |||||
28.4245 | 1.17321 | 0.586603 | − | 0.809875i | ||||||
0.586603 | + | 0.809875i | ||||||||
0 | 0 | |||||||||
36.3217 | 1.49661 | |||||||||
−10.5507 | + | 0.734884i | −0.434366 | + | 0.0302547i | |||||
1.27959 | 0.0526352 | |||||||||
41.5233 | − | 11.8576i | 1.70660 | − | 0.487342i | |||||
− | 7.57149i | − | 0.310924i | −0.987842 | − | 0.155462i | ||||
0.987842 | − | 0.155462i | ||||||||
−18.7756 | + | 1.30777i | −0.770371 | + | 0.0536583i | |||||
0 | 0 | |||||||||
37.8042 | − | 5.29198i | 1.54852 | − | 0.216768i | |||||
13.6210 | 0.557472 | |||||||||
−1.85921 | − | 26.6927i | −0.0760289 | − | 1.09155i | |||||
− | 47.4510i | − | 1.93879i | −0.245499 | − | 0.969397i | ||||
0.245499 | − | 0.969397i | ||||||||
0.388005 | + | 1.83280i | 0.0158403 | + | 0.0748238i | |||||
13.3242i | 0.543506i | 0.962367 | + | 0.271753i | ||||||
−0.962367 | + | 0.271753i | ||||||||
0 | 0 | |||||||||
6.49954i | 0.264682i | |||||||||
−2.66339 | − | 19.0264i | −0.108372 | − | 0.774173i | |||||
− | 2.05349i | − | 0.0834862i | |||||||
−4.23898 | + | 0.295255i | −0.172197 | + | 0.0119939i | |||||
15.0816 | 0.612143 | 0.306072 | − | 0.952008i | ||||||
0.306072 | + | 0.952008i | ||||||||
−7.89460 | − | 21.7827i | −0.320168 | − | 0.883405i | |||||
0 | 0 | |||||||||
0.145978 | + | 2.09580i | 0.00591046 | + | 0.0848564i | |||||
40.2056i | 1.62654i | |||||||||
−0.971581 | − | 6.94065i | −0.0392738 | − | 0.280559i | |||||
−5.20469 | −0.210215 | −0.105108 | − | 0.994461i | ||||||
−0.105108 | + | 0.994461i | ||||||||
2.87559 | + | 41.2848i | 0.116049 | + | 1.66612i | |||||
−0.551563 | −0.0222412 | |||||||||
0 | 0 | |||||||||
−35.7404 | −1.43885 | −0.719426 | − | 0.694569i | ||||||
−0.719426 | + | 0.694569i | ||||||||
−0.399509 | − | 5.73575i | −0.0160706 | − | 0.230726i | |||||
38.2437 | 1.53715 | 0.768573 | − | 0.639762i | ||||||
0.768573 | + | 0.639762i | ||||||||
2.45881 | + | 17.5649i | 0.0987482 | + | 0.705424i | |||||
11.9538i | 0.479689i | |||||||||
−2.23515 | − | 32.0901i | −0.0896215 | − | 1.28670i | |||||
0 | 0 | |||||||||
−4.24151 | − | 14.8531i | −0.169796 | − | 0.594599i | |||||
1.00000 | 0.0400000 | |||||||||
9.28981 | − | 0.647059i | 0.371296 | − | 0.0258617i | |||||
9.80143i | 0.391431i | |||||||||
−4.56443 | − | 32.6068i | −0.182141 | − | 1.30115i | |||||
− | 14.7700i | − | 0.588918i | |||||||
0 | 0 | |||||||||
12.0334i | 0.479042i | 0.970891 | + | 0.239521i | ||||||
−0.970891 | + | 0.239521i | ||||||||
−31.3792 | + | 6.64300i | −1.24820 | + | 0.264244i | |||||
− | 6.61294i | − | 0.262841i | |||||||
−1.38768 | − | 19.9229i | −0.0551117 | − | 0.791237i | |||||
−17.0178 | −0.675329 | |||||||||
9.73118 | − | 1.36221i | 0.385866 | − | 0.0540152i | |||||
0 | 0 | |||||||||
26.4709 | − | 1.84376i | 1.04799 | − | 0.0729952i | |||||
9.02857i | 0.357165i | |||||||||
9.99954 | − | 5.29237i | 0.395267 | − | 0.209199i | |||||
22.9352 | 0.905888 | 0.452944 | − | 0.891539i | ||||||
0.452944 | + | 0.891539i | ||||||||
7.16531 | − | 0.499082i | 0.282792 | − | 0.0196972i | |||||
1.23955 | 0.0488833 | 0.0244416 | − | 0.999701i | ||||||
0.0244416 | + | 0.999701i | ||||||||
0 | 0 | |||||||||
−2.05755 | −0.0810160 | |||||||||
−7.90543 | + | 0.550633i | −0.311035 | + | 0.0216644i | |||||
−14.1415 | −0.555962 | −0.277981 | − | 0.960587i | ||||||
−0.277981 | + | 0.960587i | ||||||||
−3.07195 | − | 14.5108i | −0.120678 | − | 0.570038i | |||||
− | 27.0198i | − | 1.06062i | |||||||
−8.22532 | + | 0.572914i | −0.322624 | + | 0.0224715i | |||||
0 | 0 | |||||||||
−1.98414 | − | 14.1740i | −0.0777049 | − | 0.555098i | |||||
−17.0916 | −0.668845 | −0.334423 | − | 0.942423i | ||||||
−0.334423 | + | 0.942423i | ||||||||
0.0843022 | + | 1.21033i | 0.00329648 | + | 0.0473275i | |||||
− | 1.20613i | − | 0.0471275i | |||||||
0.914629 | + | 3.20289i | 0.0357103 | + | 0.125052i | |||||
13.2414i | 0.516598i | |||||||||
0 | 0 | |||||||||
− | 3.45765i | − | 0.134691i | −0.997730 | − | 0.0673455i | ||||
0.997730 | − | 0.0673455i | ||||||||
−4.73991 | + | 0.663512i | −0.184501 | + | 0.0258272i | |||||
15.1632i | 0.589780i | 0.955531 | + | 0.294890i | ||||||
−0.955531 | + | 0.294890i | ||||||||
−28.6707 | + | 1.99699i | −1.11432 | + | 0.0776152i | |||||
−5.28330 | −0.205186 | |||||||||
3.80267 | + | 17.9625i | 0.147572 | + | 0.697079i | |||||
0 | 0 | |||||||||
−2.71715 | − | 39.0100i | −0.105287 | − | 1.51161i | |||||
− | 16.8531i | − | 0.652556i | |||||||
27.1607 | − | 3.80206i | 1.05088 | − | 0.147106i | |||||
−11.1394 | −0.430676 | |||||||||
0.249359 | + | 3.58005i | 0.00963359 | + | 0.138309i | |||||
−5.36721 | −0.207199 | |||||||||
0 | 0 | |||||||||
−11.2116 | −0.432175 | −0.216087 | − | 0.976374i | ||||||
−0.216087 | + | 0.976374i | ||||||||
1.54968 | + | 22.2488i | 0.0596915 | + | 0.856991i | |||||
3.68354 | 0.141780 | |||||||||
41.5787 | − | 5.82036i | 1.59918 | − | 0.223860i | |||||
− | 3.67637i | − | 0.141294i | −0.997501 | − | 0.0706471i | ||||
0.997501 | − | 0.0706471i | ||||||||
0.462500 | + | 6.64010i | 0.0177622 | + | 0.255011i | |||||
0 | 0 | |||||||||
−0.801444 | − | 3.78574i | −0.0307340 | − | 0.145176i | |||||
−13.1370 | −0.503412 | |||||||||
−45.2020 | + | 3.14843i | −1.73087 | + | 0.120560i | |||||
− | 42.1877i | − | 1.61427i | −0.590369 | − | 0.807133i | ||||
0.590369 | − | 0.807133i | ||||||||
−20.7783 | + | 2.90863i | −0.794477 | + | 0.111214i | |||||
2.14490i | 0.0819526i | |||||||||
0 | 0 | |||||||||
− | 9.22865i | − | 0.352095i | |||||||
3.41194 | + | 11.9481i | 0.130079 | + | 0.455516i | |||||
43.2461i | 1.64755i | |||||||||
0.211218 | + | 3.03246i | 0.00804094 | + | 0.115444i | |||||
−23.1230 | −0.879640 | −0.439820 | − | 0.898086i | ||||||
−0.439820 | + | 0.898086i | ||||||||
1.08809 | + | 7.77298i | 0.0413631 | + | 0.295485i | |||||
0 | 0 | |||||||||
−4.29987 | + | 0.299497i | −0.163221 | + | 0.0113688i | |||||
3.39555i | 0.128801i | |||||||||
−2.01502 | − | 9.51822i | −0.0763790 | − | 0.360787i | |||||
1.13928 | 0.0431533 | |||||||||
−11.8572 | + | 0.825884i | −0.448802 | + | 0.0312602i | |||||
6.77301 | 0.256179 | |||||||||
0 | 0 | |||||||||
29.3192 | 1.10737 | 0.553686 | − | 0.832725i | ||||||
0.553686 | + | 0.832725i | ||||||||
−30.2983 | + | 2.11035i | −1.14354 | + | 0.0796502i | |||||
−44.2170 | −1.66768 | |||||||||
11.7129 | + | 26.4241i | 0.441448 | + | 0.995894i | |||||
− | 4.56761i | − | 0.172026i | |||||||
−0.610622 | + | 0.0425314i | −0.0229811 | + | 0.00160069i | |||||
0 | 0 | |||||||||
−9.81126 | + | 1.37342i | −0.368730 | + | 0.0516163i | |||||
3.35439 | 0.125977 | 0.0629884 | − | 0.998014i | ||||||
0.0629884 | + | 0.998014i | ||||||||
0.346387 | + | 4.97308i | 0.0129997 | + | 0.186636i | |||||
29.0453i | 1.08928i | |||||||||
−25.9864 | + | 5.50134i | −0.973882 | + | 0.206172i | |||||
28.7786i | 1.07777i | |||||||||
0 | 0 | |||||||||
− | 21.0645i | − | 0.787769i | |||||||
5.69886 | + | 40.7108i | 0.212977 | + | 1.52143i | |||||
− | 11.3153i | − | 0.422578i | |||||||
−38.0647 | + | 2.65130i | −1.42056 | + | 0.0989457i | |||||
−31.0284 | −1.15717 | −0.578583 | − | 0.815624i | ||||||
−0.578583 | + | 0.815624i | ||||||||
−2.81319 | − | 9.85134i | −0.104841 | − | 0.367138i | |||||
0 | 0 | |||||||||
−0.218609 | − | 3.13857i | −0.00813579 | − | 0.116805i | |||||
− | 12.2428i | − | 0.455313i | |||||||
−3.62115 | − | 25.8683i | −0.134579 | − | 0.961388i | |||||
−5.19327 | −0.192873 | |||||||||
−0.133655 | − | 1.91888i | −0.00496039 | − | 0.0712162i | |||||
−37.9906 | −1.40899 | −0.704497 | − | 0.709707i | ||||||
−0.704497 | + | 0.709707i | ||||||||
0 | 0 | |||||||||
−6.11207 | −0.226373 | |||||||||
0.508017 | + | 7.29359i | 0.0188025 | + | 0.269948i | |||||
4.24997 | 0.157191 | |||||||||
0.272817 | + | 1.94891i | 0.0100836 | + | 0.0720338i | |||||
30.9751i | 1.14409i | 0.820222 | + | 0.572046i | ||||||
−0.820222 | + | 0.572046i | ||||||||
2.04601 | + | 29.3745i | 0.0755195 | + | 1.08423i | |||||
0 | 0 | |||||||||
17.2590 | − | 6.25511i | 0.636176 | − | 0.230566i | |||||
−9.16828 | −0.337718 | |||||||||
3.00903 | − | 0.209586i | 0.110764 | − | 0.00771498i | |||||
− | 2.92228i | − | 0.107498i | −0.998554 | − | 0.0537488i | ||||
0.998554 | − | 0.0537488i | ||||||||
−2.99329 | − | 21.3831i | −0.110036 | − | 0.786058i | |||||
15.8167i | 0.581039i | |||||||||
0 | 0 | |||||||||
− | 36.6505i | − | 1.34457i | −0.740290 | − | 0.672287i | ||||
0.740290 | − | 0.672287i | ||||||||
3.44087 | + | 16.2535i | 0.126148 | + | 0.595881i | |||||
− | 19.0864i | − | 0.699271i | |||||||
−1.73551 | − | 24.9167i | −0.0635415 | − | 0.912265i | |||||
16.6265 | 0.608330 | |||||||||
9.79051 | − | 1.37052i | 0.357976 | − | 0.0501110i | |||||
0 | 0 | |||||||||
0.934447 | − | 0.0650866i | 0.0341212 | − | 0.00237663i | |||||
− | 36.1831i | − | 1.32034i | −0.751116 | − | 0.660170i | ||||
0.751116 | − | 0.660170i | ||||||||
−26.5238 | + | 7.57424i | −0.967223 | + | 0.276204i | |||||
−10.9496 | −0.399024 | |||||||||
42.7163 | − | 2.97529i | 1.55563 | − | 0.108354i | |||||
−9.60595 | −0.349596 | |||||||||
0 | 0 | |||||||||
−1.44394 | −0.0524807 | −0.0262404 | − | 0.999656i | ||||||
−0.0262404 | + | 0.999656i | ||||||||
21.2397 | − | 1.47940i | 0.771462 | − | 0.0537342i | |||||
−7.76594 | −0.281886 | |||||||||
−11.3334 | + | 2.39929i | −0.411106 | + | 0.0870314i | |||||
28.2334i | 1.02346i | 0.859146 | + | 0.511730i | ||||||
−0.859146 | + | 0.511730i | ||||||||
−15.9022 | + | 1.10763i | −0.576076 | + | 0.0401251i | |||||
0 | 0 | |||||||||
3.45891 | + | 24.7093i | 0.125139 | + | 0.893951i | |||||
−3.50416 | −0.126693 | |||||||||
2.98241 | + | 42.8184i | 0.107759 | + | 1.54709i | |||||
− | 43.6020i | − | 1.57438i | |||||||
8.99958 | − | 5.59627i | 0.324744 | − | 0.201938i | |||||
− | 38.3866i | − | 1.38426i | −0.721774 | − | 0.692129i | ||||
0.721774 | − | 0.692129i | ||||||||
0 | 0 | |||||||||
4.10328i | 0.147776i | |||||||||
−37.7608 | + | 5.28592i | −1.35904 | + | 0.190244i | |||||
19.0817i | 0.686322i | 0.939277 | + | 0.343161i | ||||||
−0.939277 | + | 0.343161i | ||||||||
11.2249 | − | 0.781842i | 0.403471 | − | 0.0281027i | |||||
8.86809 | 0.318551 | |||||||||
0.949638 | − | 0.201039i | 0.0340900 | − | 0.00721688i | |||||
0 | 0 | |||||||||
−0.616928 | − | 8.85722i | −0.0221179 | − | 0.317547i | |||||
− | 3.41067i | − | 0.122200i | |||||||
−7.64883 | + | 1.07072i | −0.273872 | + | 0.0383378i | |||||
−12.7357 | −0.455721 | |||||||||
−0.436281 | − | 6.26369i | −0.0156014 | − | 0.223989i | |||||
−19.1296 | −0.683637 | |||||||||
0 | 0 | |||||||||
−16.4624 | −0.587567 | |||||||||
−0.0785030 | − | 1.12707i | −0.00280011 | − | 0.0402011i | |||||
5.10214 | 0.181872 | 0.0909358 | − | 0.995857i | ||||||
0.0909358 | + | 0.995857i | ||||||||
−3.82645 | + | 0.535642i | −0.136312 | + | 0.0190815i | |||||
14.0112i | 0.498811i | |||||||||
1.11434 | + | 15.9986i | 0.0396464 | + | 0.569203i | |||||
0 | 0 | |||||||||
25.6063 | − | 5.42087i | 0.909879 | − | 0.192622i | |||||
−8.66112 | −0.307565 | |||||||||
−13.7159 | + | 0.955344i | −0.486758 | + | 0.0339039i | |||||
− | 4.91303i | − | 0.174247i | |||||||
−40.7320 | + | 5.70183i | −1.44371 | + | 0.202096i | |||||
25.6101i | 0.907155i | 0.891217 | + | 0.453578i | ||||||
−0.891217 | + | 0.453578i | ||||||||
0 | 0 | |||||||||
9.43461i | 0.333772i | |||||||||
−1.92750 | − | 5.31834i | −0.0681475 | − | 0.188032i | |||||
24.0536i | 0.849891i | |||||||||
0.686624 | + | 9.85785i | 0.0242455 | + | 0.348093i | |||||
−18.6784 | −0.659148 | |||||||||
0.466026 | + | 3.32913i | 0.0164355 | + | 0.117409i | |||||
0 | 0 | |||||||||
−72.9429 | + | 5.08065i | −2.56930 | + | 0.178958i | |||||
− | 20.5241i | − | 0.722483i | |||||||
12.5525 | − | 2.65738i | 0.441597 | − | 0.0934863i | |||||
50.4761 | 1.77465 | 0.887323 | − | 0.461148i | ||||||
0.887323 | + | 0.461148i | ||||||||
−7.39828 | + | 0.515309i | −0.259949 | + | 0.0181061i | |||||
3.15050 | 0.110629 | 0.0553145 | − | 0.998469i | ||||||
0.0553145 | + | 0.998469i | ||||||||
0 | 0 | |||||||||
15.2594 | 0.535170 | |||||||||
55.0277 | − | 3.83282i | 1.92872 | − | 0.134340i | |||||
−7.15612 | −0.250668 | |||||||||
−0.995308 | − | 3.48541i | −0.0348427 | − | 0.122014i | |||||
− | 12.7232i | − | 0.445128i | |||||||
−3.16807 | + | 0.220664i | −0.110769 | + | 0.00771533i | |||||
0 | 0 | |||||||||
1.64938 | − | 0.230887i | 0.0575988 | − | 0.00806292i | |||||
−35.4832 | −1.23837 | −0.619187 | − | 0.785244i | ||||||
−0.619187 | + | 0.785244i | ||||||||
0.139604 | + | 2.00430i | 0.00486927 | + | 0.0699080i | |||||
− | 8.41130i | − | 0.293199i | −0.989196 | − | 0.146600i | ||||
0.989196 | − | 0.146600i | ||||||||
3.59569 | + | 16.9848i | 0.125262 | + | 0.591693i | |||||
2.39306i | 0.0833157i | |||||||||
0 | 0 | |||||||||
4.33435i | 0.150720i | 0.997156 | + | 0.0753601i | ||||||
−0.997156 | + | 0.0753601i | ||||||||
−2.30459 | − | 16.4632i | −0.0800899 | − | 0.572136i | |||||
24.1798i | 0.839801i | 0.907570 | + | 0.419900i | ||||||
−0.907570 | + | 0.419900i | ||||||||
9.15810 | − | 0.637885i | 0.317882 | − | 0.0221413i | |||||
4.60046 | 0.159588 | |||||||||
18.9013 | + | 42.6407i | 0.655283 | + | 1.47830i | |||||
0 | 0 | |||||||||
0.221005 | + | 3.17296i | 0.00765277 | + | 0.109871i | |||||
− | 13.7127i | − | 0.474549i | |||||||
−4.10293 | − | 29.3099i | −0.141903 | − | 1.01371i | |||||
32.6660 | 1.12910 | |||||||||
1.80381 | + | 25.8973i | 0.0623117 | + | 0.894608i | |||||
18.3056 | 0.631979 | 0.315989 | − | 0.948763i | ||||||
0.315989 | + | 0.948763i | ||||||||
0 | 0 | |||||||||
−2.02999 | −0.0699998 | |||||||||
0.223367 | + | 3.20688i | 0.00769774 | + | 0.110516i | |||||
−2.81097 | −0.0968150 | |||||||||
2.76821 | + | 19.7752i | 0.0952856 | + | 0.680689i | |||||
− | 20.9920i | − | 0.722148i | |||||||
1.73563 | + | 24.9184i | 0.0596722 | + | 0.856712i | |||||
0 | 0 | |||||||||
−28.5296 | + | 8.14704i | −0.979711 | + | 0.279770i | |||||
−5.65120 | −0.193949 | |||||||||
−1.93014 | + | 0.134439i | −0.0662034 | + | 0.00461123i | |||||
− | 35.0344i | − | 1.20096i | |||||||
0.647361 | + | 4.62453i | 0.0221782 | + | 0.158434i | |||||
− | 16.9533i | − | 0.580469i | −0.956956 | − | 0.290234i | ||||
0.956956 | − | 0.290234i | ||||||||
0 | 0 | |||||||||
10.4904i | 0.358765i | |||||||||
−21.2180 | + | 4.49187i | −0.725218 | + | 0.153529i | |||||
− | 50.5745i | − | 1.72759i | −0.503843 | − | 0.863795i | ||||
0.503843 | − | 0.863795i | ||||||||
−1.37102 | − | 19.6837i | −0.0468058 | − | 0.671990i | |||||
−5.03849 | −0.171911 | −0.0859555 | − | 0.996299i | ||||||
−0.0859555 | + | 0.996299i | ||||||||
6.15285 | − | 0.861301i | 0.209810 | − | 0.0293701i | |||||
0 | 0 | |||||||||
−18.1442 | + | 1.26379i | −0.617993 | + | 0.0430448i | |||||
− | 11.7417i | − | 0.399691i | −0.979827 | − | 0.199846i | ||||
0.979827 | − | 0.199846i | ||||||||
−7.10003 | − | 19.5903i | −0.241548 | − | 0.666477i | |||||
3.92439 | 0.133433 | |||||||||
47.4460 | − | 3.30473i | 1.61228 | − | 0.112299i | |||||
10.0203 | 0.340306 | |||||||||
0 | 0 | |||||||||
−40.9714 | −1.38986 | |||||||||
−4.85283 | + | 0.338012i | −0.164526 | + | 0.0114597i | |||||
−14.7949 | −0.501307 | |||||||||
−0.758743 | − | 3.58404i | −0.0256943 | − | 0.121371i | |||||
− | 0.879005i | − | 0.0297498i | |||||||
−18.7517 | + | 1.30610i | −0.634284 | + | 0.0441795i | |||||
0 | 0 | |||||||||
0.949429 | + | 6.78241i | 0.0320782 | + | 0.229156i | |||||
−24.1824 | −0.816581 | −0.408290 | − | 0.912852i | ||||||
−0.408290 | + | 0.912852i | ||||||||
2.44553 | + | 35.1105i | 0.0825327 | + | 1.18492i | |||||
16.7125i | 0.563698i | |||||||||
13.8963 | − | 3.96830i | 0.468446 | − | 0.133771i | |||||
− | 19.6285i | − | 0.661301i | −0.943753 | − | 0.330651i | ||||
0.943753 | − | 0.330651i | ||||||||
0 | 0 | |||||||||
11.2418i | 0.378315i | 0.981947 | + | 0.189158i | ||||||
−0.981947 | + | 0.189158i | ||||||||
15.7990 | − | 2.21161i | 0.531379 | − | 0.0743846i | |||||
4.95346i | 0.166509i | |||||||||
−11.2126 | + | 0.780987i | −0.376695 | + | 0.0262378i | |||||
−41.8099 | −1.40384 | −0.701920 | − | 0.712256i | ||||||
−0.701920 | + | 0.712256i | ||||||||
−4.18882 | − | 19.7865i | −0.140568 | − | 0.663993i | |||||
0 | 0 | |||||||||
0.922831 | + | 13.2491i | 0.0309334 | + | 0.444110i | |||||
− | 18.9465i | − | 0.634733i | |||||||
33.3111 | − | 4.66303i | 1.11534 | − | 0.156130i | |||||
28.2445 | 0.945165 | |||||||||
−1.24227 | − | 17.8352i | −0.0415476 | − | 0.596499i | |||||
20.5539 | 0.687040 | |||||||||
0 | 0 | |||||||||
−12.5320 | −0.418430 | |||||||||
1.40546 | + | 20.1782i | 0.0469009 | + | 0.673356i | |||||
−46.0544 | −1.53600 | |||||||||
−5.07311 | + | 0.710155i | −0.169104 | + | 0.0236718i | |||||
10.1481i | 0.338082i | |||||||||
0.295644 | + | 4.24455i | 0.00984385 | + | 0.141328i | |||||
0 | 0 | |||||||||
−4.16262 | − | 19.6628i | −0.138447 | − | 0.653974i | |||||
−13.0603 | −0.434138 | |||||||||
−8.97625 | + | 0.625218i | −0.298216 | + | 0.0207715i | |||||
21.8089i | 0.724151i | 0.932149 | + | 0.362076i | ||||||
−0.932149 | + | 0.362076i | ||||||||
39.2846 | − | 5.49923i | 1.30371 | − | 0.182498i | |||||
− | 11.6189i | − | 0.385374i | |||||||
0 | 0 | |||||||||
− | 2.40991i | − | 0.0798440i | −0.999203 | − | 0.0399220i | ||||
0.999203 | − | 0.0399220i | ||||||||
−10.4343 | + | 2.97966i | −0.345514 | + | 0.0986664i | |||||
23.4533i | 0.776192i | |||||||||
2.17939 | + | 31.2895i | 0.0720879 | + | 1.03497i | |||||
0.983957 | 0.0325286 | |||||||||
3.86316 | + | 27.5971i | 0.127642 | + | 0.911835i | |||||
0 | 0 | |||||||||
−7.10977 | + | 0.495214i | −0.234657 | + | 0.0163445i | |||||
− | 15.2029i | − | 0.501498i | −0.968052 | − | 0.250749i | ||||
0.968052 | − | 0.250749i | ||||||||
−1.90102 | − | 8.97976i | −0.0626749 | − | 0.296054i | |||||
19.3828 | 0.638685 | |||||||||
46.3569 | − | 3.22888i | 1.52668 | − | 0.106337i | |||||
−20.5518 | −0.676470 | |||||||||
0 | 0 | |||||||||
−10.7958 | −0.354963 | |||||||||
−4.67526 | + | 0.325644i | −0.153639 | + | 0.0107013i | |||||
15.7215 | 0.516361 | |||||||||
10.0100 | + | 27.6196i | 0.328595 | + | 0.906656i | |||||
− | 20.8695i | − | 0.684704i | −0.939572 | − | 0.342352i | ||||
0.939572 | − | 0.342352i | ||||||||
8.28676 | − | 0.577194i | 0.271734 | − | 0.0189269i | |||||
0 | 0 | |||||||||
−20.2538 | + | 2.83522i | −0.663437 | + | 0.0928706i | |||||
−15.0660 | −0.493238 | |||||||||
3.45240 | + | 49.5661i | 0.112966 | + | 1.62185i | |||||
− | 4.94298i | − | 0.161653i | |||||||
41.3211 | − | 8.74770i | 1.35062 | − | 0.285928i | |||||
10.9083i | 0.356358i | 0.983998 | + | 0.178179i | ||||||
−0.983998 | + | 0.178179i | ||||||||
0 | 0 | |||||||||
− | 4.36148i | − | 0.142331i | |||||||
1.91202 | + | 13.6588i | 0.0623633 | + | 0.445502i | |||||
− | 49.3714i | − | 1.60946i | −0.593641 | − | 0.804730i | ||||
0.593641 | − | 0.804730i | ||||||||
−15.3832 | + | 1.07148i | −0.501212 | + | 0.0349106i | |||||
2.70237 | 0.0880012 | |||||||||
28.7644 | − | 8.21408i | 0.936202 | − | 0.267346i | |||||
0 | 0 | |||||||||
1.10287 | + | 15.8339i | 0.0358574 | + | 0.514804i | |||||
14.5586i | 0.473091i | 0.971620 | + | 0.236545i | ||||||
−0.971620 | + | 0.236545i | ||||||||
2.08258 | + | 14.8773i | 0.0676392 | + | 0.483192i | |||||
−30.1416 | −0.978437 | |||||||||
0.402472 | + | 5.77829i | 0.0130579 | + | 0.187473i | |||||
−9.35358 | −0.303311 | |||||||||
0 | 0 | |||||||||
−9.87954 | −0.320030 | −0.160015 | − | 0.987115i | ||||||
−0.160015 | + | 0.987115i | ||||||||
1.86689 | + | 26.8028i | 0.0604426 | + | 0.867774i | |||||
12.4751 | 0.403685 | |||||||||
4.73664 | + | 33.8370i | 0.153194 | + | 1.09437i | |||||
− | 12.4278i | − | 0.401734i | |||||||
2.19394 | + | 31.4983i | 0.0708829 | + | 1.01766i | |||||
0 | 0 | |||||||||
−2.14730 | − | 4.84425i | −0.0693038 | − | 0.156348i | |||||
47.6431 | 1.53687 | |||||||||
88.7988 | − | 6.18506i | 2.86299 | − | 0.199414i | |||||
19.6399i | 0.632886i | |||||||||
5.12488 | + | 36.6104i | 0.165061 | + | 1.17914i | |||||
19.0645i | 0.613708i | |||||||||
0 | 0 | |||||||||
15.5047i | 0.498597i | 0.968427 | + | 0.249298i | ||||||
−0.968427 | + | 0.249298i | ||||||||
1.20293 | + | 5.68221i | 0.0386636 | + | 0.182633i | |||||
3.71152i | 0.119231i | |||||||||
−0.0337236 | − | 0.484169i | −0.00108280 | − | 0.0155457i | |||||
33.0347 | 1.06013 | 0.530067 | − | 0.847956i | ||||||
0.530067 | + | 0.847956i | ||||||||
−28.7676 | + | 4.02701i | −0.922721 | + | 0.129166i | |||||
0 | 0 | |||||||||
−10.1368 | + | 0.706056i | −0.324805 | + | 0.0226235i | |||||
3.86171i | 0.123674i | |||||||||
−1.63165 | − | 5.71377i | −0.0522278 | − | 0.182893i | |||||
−50.9720 | −1.63074 | −0.815369 | − | 0.578941i | ||||||
−0.815369 | + | 0.578941i | ||||||||
−6.68701 | + | 0.465767i | −0.213827 | + | 0.0148936i | |||||
−33.9301 | −1.08441 | |||||||||
0 | 0 | |||||||||
−3.31746 | −0.105918 | |||||||||
−8.18345 | + | 0.569998i | −0.261144 | + | 0.0181894i | |||||
24.5284 | 0.782336 | 0.391168 | − | 0.920319i | ||||||
0.391168 | + | 0.920319i | ||||||||
1.52623 | − | 0.323104i | 0.0486544 | − | 0.0103002i | |||||
1.93188i | 0.0615548i | |||||||||
10.0238 | − | 0.698180i | 0.319221 | − | 0.0222346i | |||||
0 | 0 | |||||||||
−6.62093 | − | 47.2977i | −0.210640 | − | 1.50474i | |||||
10.0809 | 0.320555 | |||||||||
−0.909332 | − | 13.0553i | −0.0289005 | − | 0.414923i | |||||
− | 52.9169i | − | 1.68096i | −0.541841 | − | 0.840481i | ||||
0.541841 | − | 0.840481i | ||||||||
−17.0933 | − | 47.1635i | −0.542712 | − | 1.49744i | |||||
13.4606i | 0.427160i | |||||||||
0 | 0 | |||||||||
20.5646i | 0.651941i | |||||||||
8.51624 | − | 1.19214i | 0.269847 | − | 0.0377744i | |||||
17.0230i | 0.539123i | 0.962983 | + | 0.269561i | ||||||
−0.962983 | + | 0.269561i | ||||||||
55.9523 | − | 3.89722i | 1.77114 | − | 0.123364i | |||||
−39.7667 | −1.25816 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 980.2.g.a.391.20 | 32 | ||
4.3 | odd | 2 | inner | 980.2.g.a.391.17 | 32 | ||
7.2 | even | 3 | 980.2.o.f.31.14 | 32 | |||
7.3 | odd | 6 | 980.2.o.f.411.2 | 32 | |||
7.4 | even | 3 | 140.2.o.a.131.2 | yes | 32 | ||
7.5 | odd | 6 | 140.2.o.a.31.14 | yes | 32 | ||
7.6 | odd | 2 | inner | 980.2.g.a.391.19 | 32 | ||
28.3 | even | 6 | 980.2.o.f.411.14 | 32 | |||
28.11 | odd | 6 | 140.2.o.a.131.14 | yes | 32 | ||
28.19 | even | 6 | 140.2.o.a.31.2 | ✓ | 32 | ||
28.23 | odd | 6 | 980.2.o.f.31.2 | 32 | |||
28.27 | even | 2 | inner | 980.2.g.a.391.18 | 32 | ||
35.4 | even | 6 | 700.2.p.c.551.15 | 32 | |||
35.12 | even | 12 | 700.2.t.c.199.12 | 32 | |||
35.18 | odd | 12 | 700.2.t.c.299.7 | 32 | |||
35.19 | odd | 6 | 700.2.p.c.451.3 | 32 | |||
35.32 | odd | 12 | 700.2.t.d.299.10 | 32 | |||
35.33 | even | 12 | 700.2.t.d.199.5 | 32 | |||
140.19 | even | 6 | 700.2.p.c.451.15 | 32 | |||
140.39 | odd | 6 | 700.2.p.c.551.3 | 32 | |||
140.47 | odd | 12 | 700.2.t.c.199.7 | 32 | |||
140.67 | even | 12 | 700.2.t.d.299.5 | 32 | |||
140.103 | odd | 12 | 700.2.t.d.199.10 | 32 | |||
140.123 | even | 12 | 700.2.t.c.299.12 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.2.o.a.31.2 | ✓ | 32 | 28.19 | even | 6 | ||
140.2.o.a.31.14 | yes | 32 | 7.5 | odd | 6 | ||
140.2.o.a.131.2 | yes | 32 | 7.4 | even | 3 | ||
140.2.o.a.131.14 | yes | 32 | 28.11 | odd | 6 | ||
700.2.p.c.451.3 | 32 | 35.19 | odd | 6 | |||
700.2.p.c.451.15 | 32 | 140.19 | even | 6 | |||
700.2.p.c.551.3 | 32 | 140.39 | odd | 6 | |||
700.2.p.c.551.15 | 32 | 35.4 | even | 6 | |||
700.2.t.c.199.7 | 32 | 140.47 | odd | 12 | |||
700.2.t.c.199.12 | 32 | 35.12 | even | 12 | |||
700.2.t.c.299.7 | 32 | 35.18 | odd | 12 | |||
700.2.t.c.299.12 | 32 | 140.123 | even | 12 | |||
700.2.t.d.199.5 | 32 | 35.33 | even | 12 | |||
700.2.t.d.199.10 | 32 | 140.103 | odd | 12 | |||
700.2.t.d.299.5 | 32 | 140.67 | even | 12 | |||
700.2.t.d.299.10 | 32 | 35.32 | odd | 12 | |||
980.2.g.a.391.17 | 32 | 4.3 | odd | 2 | inner | ||
980.2.g.a.391.18 | 32 | 28.27 | even | 2 | inner | ||
980.2.g.a.391.19 | 32 | 7.6 | odd | 2 | inner | ||
980.2.g.a.391.20 | 32 | 1.1 | even | 1 | trivial | ||
980.2.o.f.31.2 | 32 | 28.23 | odd | 6 | |||
980.2.o.f.31.14 | 32 | 7.2 | even | 3 | |||
980.2.o.f.411.2 | 32 | 7.3 | odd | 6 | |||
980.2.o.f.411.14 | 32 | 28.3 | even | 6 |