Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1338,2,Mod(931,1338)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1338, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1338.931");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 1338.e (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 1075.3 | ||
Root | of defining polynomial | ||
Character | 1338.1075 | ||
Dual form | 1338.2.e.j.931.3 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.00000 | 0.707107 | |||||||||
−0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | |||||
1.00000 | 0.500000 | |||||||||
−0.355961 | + | 0.616542i | −0.159190 | + | 0.275726i | −0.934577 | − | 0.355761i | ||
0.775387 | + | 0.631487i | ||||||||
−0.500000 | − | 0.866025i | −0.204124 | − | 0.353553i | |||||
−0.0500871 | −0.0189311 | −0.00946556 | − | 0.999955i | ||||||
−0.00946556 | + | 0.999955i | ||||||||
1.00000 | 0.353553 | |||||||||
−0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | |||||
−0.355961 | + | 0.616542i | −0.112565 | + | 0.194968i | |||||
−0.119016 | + | 0.206142i | −0.0358847 | + | 0.0621541i | −0.883410 | − | 0.468601i | ||
0.847525 | + | 0.530755i | ||||||||
−0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | |||||
6.08940 | 1.68890 | 0.844449 | − | 0.535637i | ||||||
0.844449 | + | 0.535637i | ||||||||
−0.0500871 | −0.0133863 | |||||||||
0.711921 | 0.183817 | |||||||||
1.00000 | 0.250000 | |||||||||
−2.89113 | −0.701203 | −0.350602 | − | 0.936525i | ||||||
−0.350602 | + | 0.936525i | ||||||||
−0.500000 | + | 0.866025i | −0.117851 | + | 0.204124i | |||||
2.64073 | + | 4.57387i | 0.605824 | + | 1.04932i | 0.991921 | + | 0.126860i | ||
−0.386096 | + | 0.922458i | ||||||||
−0.355961 | + | 0.616542i | −0.0795952 | + | 0.137863i | |||||
0.0250435 | + | 0.0433767i | 0.00546495 | + | 0.00946556i | |||||
−0.119016 | + | 0.206142i | −0.0253743 | + | 0.0439496i | |||||
−1.63887 | − | 2.83860i | −0.341728 | − | 0.591890i | 0.643026 | − | 0.765844i | ||
−0.984754 | + | 0.173955i | ||||||||
−0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | |||||
2.24658 | + | 3.89120i | 0.449317 | + | 0.778240i | |||||
6.08940 | 1.19423 | |||||||||
1.00000 | 0.192450 | |||||||||
−0.0500871 | −0.00946556 | |||||||||
4.04185 | − | 7.00069i | 0.750553 | − | 1.30000i | −0.197003 | − | 0.980403i | ||
0.947555 | − | 0.319592i | ||||||||
0.711921 | 0.129978 | |||||||||
1.00721 | + | 1.74455i | 0.180901 | + | 0.313330i | 0.942188 | − | 0.335086i | ||
−0.761287 | + | 0.648416i | ||||||||
1.00000 | 0.176777 | |||||||||
0.238032 | 0.0414361 | |||||||||
−2.89113 | −0.495825 | |||||||||
0.0178290 | − | 0.0308808i | 0.00301365 | − | 0.00521980i | |||||
−0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | |||||
2.18358 | − | 3.78207i | 0.358978 | − | 0.621769i | −0.628812 | − | 0.777557i | ||
0.987790 | + | 0.155789i | ||||||||
2.64073 | + | 4.57387i | 0.428382 | + | 0.741980i | |||||
−3.04470 | − | 5.27358i | −0.487543 | − | 0.844449i | |||||
−0.355961 | + | 0.616542i | −0.0562823 | + | 0.0974838i | |||||
10.3734 | 1.62005 | 0.810026 | − | 0.586393i | ||||||
0.810026 | + | 0.586393i | ||||||||
0.0250435 | + | 0.0433767i | 0.00386430 | + | 0.00669317i | |||||
0.543104 | + | 0.940683i | 0.0828225 | + | 0.143453i | 0.904461 | − | 0.426556i | ||
−0.821639 | + | 0.570009i | ||||||||
−0.119016 | + | 0.206142i | −0.0179424 | + | 0.0310771i | |||||
−0.355961 | − | 0.616542i | −0.0530635 | − | 0.0919086i | |||||
−1.63887 | − | 2.83860i | −0.241638 | − | 0.418529i | |||||
−1.00392 | + | 1.73883i | −0.146436 | + | 0.253635i | −0.929908 | − | 0.367793i | ||
0.783472 | + | 0.621428i | ||||||||
−0.500000 | − | 0.866025i | −0.0721688 | − | 0.125000i | |||||
−6.99749 | −0.999642 | |||||||||
2.24658 | + | 3.89120i | 0.317715 | + | 0.550299i | |||||
1.44557 | + | 2.50380i | 0.202420 | + | 0.350602i | |||||
6.08940 | 0.844449 | |||||||||
2.23284 | − | 3.86739i | 0.306704 | − | 0.531228i | −0.670935 | − | 0.741516i | ||
0.977639 | + | 0.210289i | ||||||||
1.00000 | 0.136083 | |||||||||
−0.0847301 | − | 0.146757i | −0.0114250 | − | 0.0197887i | |||||
−0.0500871 | −0.00669317 | |||||||||
2.64073 | − | 4.57387i | 0.349773 | − | 0.605824i | |||||
4.04185 | − | 7.00069i | 0.530721 | − | 0.919235i | |||||
9.30639 | 1.21159 | 0.605794 | − | 0.795621i | ||||||
0.605794 | + | 0.795621i | ||||||||
0.711921 | 0.0919086 | |||||||||
0.798509 | + | 1.38306i | 0.102239 | + | 0.177083i | 0.912607 | − | 0.408839i | ||
−0.810368 | + | 0.585921i | ||||||||
1.00721 | + | 1.74455i | 0.127916 | + | 0.221558i | |||||
0.0250435 | − | 0.0433767i | 0.00315519 | − | 0.00546495i | |||||
1.00000 | 0.125000 | |||||||||
−2.16759 | + | 3.75437i | −0.268856 | + | 0.465673i | |||||
0.238032 | 0.0292997 | |||||||||
2.18092 | + | 3.77746i | 0.266441 | + | 0.461490i | 0.967940 | − | 0.251181i | ||
−0.701499 | + | 0.712671i | ||||||||
−2.89113 | −0.350602 | |||||||||
−1.63887 | + | 2.83860i | −0.197297 | + | 0.341728i | |||||
0.0178290 | − | 0.0308808i | 0.00213097 | − | 0.00369096i | |||||
1.74602 | + | 3.02420i | 0.207215 | + | 0.358907i | 0.950836 | − | 0.309694i | ||
−0.743621 | + | 0.668601i | ||||||||
−0.500000 | + | 0.866025i | −0.0589256 | + | 0.102062i | |||||
−0.369119 | + | 0.639334i | −0.0432022 | + | 0.0748283i | −0.886818 | − | 0.462119i | ||
0.843616 | + | 0.536947i | ||||||||
2.18358 | − | 3.78207i | 0.253836 | − | 0.439657i | |||||
2.24658 | − | 3.89120i | 0.259413 | − | 0.449317i | |||||
2.64073 | + | 4.57387i | 0.302912 | + | 0.524659i | |||||
0.00596117 | − | 0.0103250i | 0.000679338 | − | 0.00117665i | |||||
−3.04470 | − | 5.27358i | −0.344745 | − | 0.597115i | |||||
4.02459 | − | 6.97079i | 0.452801 | − | 0.784275i | −0.545757 | − | 0.837943i | ||
0.998559 | + | 0.0536681i | ||||||||
−0.355961 | + | 0.616542i | −0.0397976 | + | 0.0689315i | |||||
−0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | |||||
10.3734 | 1.14555 | |||||||||
−4.53232 | + | 7.85020i | −0.497486 | + | 0.861672i | −0.999996 | − | 0.00289998i | ||
0.502509 | + | 0.864572i | ||||||||
0.0250435 | + | 0.0433767i | 0.00273247 | + | 0.00473278i | |||||
1.02913 | − | 1.78250i | 0.111625 | − | 0.193340i | |||||
0.543104 | + | 0.940683i | 0.0585644 | + | 0.101436i | |||||
−8.08370 | −0.866663 | |||||||||
−0.119016 | + | 0.206142i | −0.0126872 | + | 0.0219748i | |||||
−4.61528 | − | 7.99390i | −0.489219 | − | 0.847351i | 0.510704 | − | 0.859756i | ||
−0.999923 | + | 0.0124049i | ||||||||
−0.355961 | − | 0.616542i | −0.0375215 | − | 0.0649892i | |||||
−0.305000 | −0.0319727 | |||||||||
−1.63887 | − | 2.83860i | −0.170864 | − | 0.295945i | |||||
1.00721 | − | 1.74455i | 0.104443 | − | 0.180901i | |||||
−1.00392 | + | 1.73883i | −0.103546 | + | 0.179347i | |||||
−3.75998 | −0.385766 | |||||||||
−0.500000 | − | 0.866025i | −0.0510310 | − | 0.0883883i | |||||
1.07175 | − | 1.85633i | 0.108820 | − | 0.188482i | −0.806472 | − | 0.591272i | ||
0.915293 | + | 0.402790i | ||||||||
−6.99749 | −0.706853 | |||||||||
−0.119016 | − | 0.206142i | −0.0119616 | − | 0.0207180i | |||||
2.24658 | + | 3.89120i | 0.224658 | + | 0.389120i | |||||
−7.67946 | − | 13.3012i | −0.764134 | − | 1.32352i | −0.940703 | − | 0.339231i | ||
0.176568 | − | 0.984288i | ||||||||
1.44557 | + | 2.50380i | 0.143132 | + | 0.247913i | |||||
−13.9141 | −1.37100 | −0.685499 | − | 0.728073i | ||||||
−0.685499 | + | 0.728073i | ||||||||
6.08940 | 0.597115 | |||||||||
−0.0356580 | −0.00347987 | |||||||||
2.23284 | − | 3.86739i | 0.216873 | − | 0.375635i | |||||
−3.45333 | + | 5.98134i | −0.333846 | + | 0.578238i | −0.983262 | − | 0.182195i | ||
0.649417 | + | 0.760433i | ||||||||
1.00000 | 0.0962250 | |||||||||
−1.91519 | + | 3.31720i | −0.183442 | + | 0.317730i | −0.943050 | − | 0.332650i | ||
0.759609 | + | 0.650380i | ||||||||
−0.0847301 | − | 0.146757i | −0.00807870 | − | 0.0139927i | |||||
−4.36716 | −0.414512 | |||||||||
−0.0500871 | −0.00473278 | |||||||||
2.03896 | + | 3.53159i | 0.191810 | + | 0.332224i | 0.945850 | − | 0.324604i | ||
−0.754040 | + | 0.656828i | ||||||||
2.64073 | − | 4.57387i | 0.247327 | − | 0.428382i | |||||
2.33349 | 0.217599 | |||||||||
4.04185 | − | 7.00069i | 0.375276 | − | 0.649998i | |||||
−3.04470 | + | 5.27358i | −0.281483 | + | 0.487543i | |||||
9.30639 | 0.856723 | |||||||||
0.144808 | 0.0132746 | |||||||||
0.711921 | 0.0649892 | |||||||||
5.47167 | + | 9.47721i | 0.497425 | + | 0.861565i | |||||
0.798509 | + | 1.38306i | 0.0722936 | + | 0.125216i | |||||
−5.18670 | − | 8.98363i | −0.467669 | − | 0.810026i | |||||
1.00721 | + | 1.74455i | 0.0904505 | + | 0.156665i | |||||
−6.75839 | −0.604488 | |||||||||
0.0250435 | − | 0.0433767i | 0.00223106 | − | 0.00386430i | |||||
2.66370 | + | 4.61366i | 0.236365 | + | 0.409396i | 0.959669 | − | 0.281134i | ||
−0.723303 | + | 0.690530i | ||||||||
1.00000 | 0.0883883 | |||||||||
0.543104 | − | 0.940683i | 0.0478176 | − | 0.0828225i | |||||
−2.16759 | + | 3.75437i | −0.190110 | + | 0.329280i | |||||
−1.75869 | − | 3.04614i | −0.153657 | − | 0.266142i | 0.778912 | − | 0.627133i | ||
−0.932569 | + | 0.360991i | ||||||||
0.238032 | 0.0207180 | |||||||||
−0.132266 | − | 0.229092i | −0.0114689 | − | 0.0198648i | |||||
2.18092 | + | 3.77746i | 0.188402 | + | 0.326323i | |||||
−0.355961 | + | 0.616542i | −0.0306362 | + | 0.0530635i | |||||
−2.89113 | −0.247913 | |||||||||
−6.77141 | − | 11.7284i | −0.578520 | − | 1.00203i | −0.995649 | − | 0.0931793i | ||
0.417129 | − | 0.908847i | ||||||||
−1.63887 | + | 2.83860i | −0.139510 | + | 0.241638i | |||||
−1.31959 | − | 2.28560i | −0.111926 | − | 0.193862i | 0.804621 | − | 0.593789i | ||
−0.916547 | + | 0.399927i | ||||||||
0.0178290 | − | 0.0308808i | 0.00150683 | − | 0.00260990i | |||||
2.00783 | 0.169090 | |||||||||
1.74602 | + | 3.02420i | 0.146523 | + | 0.253785i | |||||
−0.724737 | + | 1.25528i | −0.0606056 | + | 0.104972i | |||||
−0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | |||||
2.87748 | + | 4.98394i | 0.238962 | + | 0.413893i | |||||
−0.369119 | + | 0.639334i | −0.0305485 | + | 0.0529116i | |||||
3.49875 | + | 6.06001i | 0.288572 | + | 0.499821i | |||||
2.18358 | − | 3.78207i | 0.179489 | − | 0.310884i | |||||
3.80880 | − | 6.59703i | 0.312029 | − | 0.540450i | −0.666773 | − | 0.745261i | ||
0.978801 | + | 0.204811i | ||||||||
2.24658 | − | 3.89120i | 0.183433 | − | 0.317715i | |||||
−9.54177 | + | 16.5268i | −0.776498 | + | 1.34493i | 0.157451 | + | 0.987527i | ||
−0.933949 | + | 0.357407i | ||||||||
2.64073 | + | 4.57387i | 0.214191 | + | 0.370990i | |||||
1.44557 | − | 2.50380i | 0.116867 | − | 0.202420i | |||||
0.00596117 | − | 0.0103250i | 0.000480365 | − | 0.000832016i | |||||
−1.43411 | −0.115191 | |||||||||
−3.04470 | − | 5.27358i | −0.243771 | − | 0.422224i | |||||
6.48492 | 0.517553 | 0.258776 | − | 0.965937i | ||||||
0.258776 | + | 0.965937i | ||||||||
4.02459 | − | 6.97079i | 0.320179 | − | 0.554566i | |||||
−4.46568 | −0.354152 | |||||||||
−0.355961 | + | 0.616542i | −0.0281411 | + | 0.0487419i | |||||
0.0820861 | + | 0.142177i | 0.00646929 | + | 0.0112051i | |||||
−0.500000 | − | 0.866025i | −0.0392837 | − | 0.0680414i | |||||
−5.53504 | −0.433538 | −0.216769 | − | 0.976223i | ||||||
−0.216769 | + | 0.976223i | ||||||||
10.3734 | 0.810026 | |||||||||
−0.0847301 | + | 0.146757i | −0.00659623 | + | 0.0114250i | |||||
−4.53232 | + | 7.85020i | −0.351776 | + | 0.609294i | |||||
3.84736 | 0.297717 | 0.148859 | − | 0.988858i | ||||||
0.148859 | + | 0.988858i | ||||||||
0.0250435 | + | 0.0433767i | 0.00193215 | + | 0.00334658i | |||||
24.0809 | 1.85237 | |||||||||
1.02913 | − | 1.78250i | 0.0789306 | − | 0.136712i | |||||
−5.28145 | −0.403883 | |||||||||
0.543104 | + | 0.940683i | 0.0414113 | + | 0.0717264i | |||||
0.646627 | + | 1.11999i | 0.0491621 | + | 0.0851513i | 0.889559 | − | 0.456820i | ||
−0.840397 | + | 0.541971i | ||||||||
−8.08370 | −0.612824 | |||||||||
−0.112525 | − | 0.194899i | −0.00850608 | − | 0.0147330i | |||||
−0.119016 | + | 0.206142i | −0.00897118 | + | 0.0155385i | |||||
−4.65320 | − | 8.05957i | −0.349756 | − | 0.605794i | |||||
−4.61528 | − | 7.99390i | −0.345930 | − | 0.599168i | |||||
−10.4033 | + | 18.0190i | −0.777579 | + | 1.34681i | 0.155754 | + | 0.987796i | ||
−0.933333 | + | 0.359011i | ||||||||
−0.355961 | − | 0.616542i | −0.0265317 | − | 0.0459543i | |||||
10.6949 | + | 18.5241i | 0.794944 | + | 1.37688i | 0.922875 | + | 0.385100i | ||
−0.127932 | + | 0.991783i | ||||||||
−0.305000 | −0.0226081 | |||||||||
0.798509 | − | 1.38306i | 0.0590275 | − | 0.102239i | |||||
−1.63887 | − | 2.83860i | −0.120819 | − | 0.209265i | |||||
1.55454 | + | 2.69254i | 0.114292 | + | 0.197959i | |||||
1.00721 | − | 1.74455i | 0.0738526 | − | 0.127916i | |||||
0.344092 | − | 0.595984i | 0.0251625 | − | 0.0435827i | |||||
−1.00392 | + | 1.73883i | −0.0732181 | + | 0.126818i | |||||
−0.0500871 | −0.00364330 | |||||||||
−3.75998 | −0.272777 | |||||||||
−21.0306 | −1.52172 | −0.760862 | − | 0.648914i | ||||||
−0.760862 | + | 0.648914i | ||||||||
−0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | |||||
−22.9321 | −1.65069 | −0.825344 | − | 0.564630i | ||||||
−0.825344 | + | 0.564630i | ||||||||
1.07175 | − | 1.85633i | 0.0769474 | − | 0.133277i | |||||
4.33518 | 0.310448 | |||||||||
−6.99749 | −0.499821 | |||||||||
−7.87651 | −0.561178 | −0.280589 | − | 0.959828i | ||||||
−0.280589 | + | 0.959828i | ||||||||
−0.119016 | − | 0.206142i | −0.00845811 | − | 0.0146499i | |||||
−11.8545 | − | 20.5326i | −0.840342 | − | 1.45551i | −0.889606 | − | 0.456728i | ||
0.0492647 | − | 0.998786i | ||||||||
2.24658 | + | 3.89120i | 0.158857 | + | 0.275149i | |||||
2.18092 | − | 3.77746i | 0.153830 | − | 0.266441i | |||||
−7.67946 | − | 13.3012i | −0.540325 | − | 0.935870i | |||||
−0.202444 | + | 0.350644i | −0.0142088 | + | 0.0246104i | |||||
1.44557 | + | 2.50380i | 0.101210 | + | 0.175301i | |||||
−3.69252 | + | 6.39563i | −0.257897 | + | 0.446690i | |||||
−13.9141 | −0.969442 | |||||||||
3.27774 | 0.227819 | |||||||||
6.08940 | 0.422224 | |||||||||
−1.25716 | −0.0869593 | |||||||||
−0.0356580 | −0.00246064 | |||||||||
−5.37153 | − | 9.30377i | −0.369792 | − | 0.640498i | 0.619741 | − | 0.784806i | ||
−0.989533 | + | 0.144308i | ||||||||
2.23284 | − | 3.86739i | 0.153352 | − | 0.265614i | |||||
1.74602 | − | 3.02420i | 0.119636 | − | 0.207215i | |||||
−3.45333 | + | 5.98134i | −0.236065 | + | 0.408876i | |||||
−0.773294 | −0.0527382 | |||||||||
1.00000 | 0.0680414 | |||||||||
−0.0504484 | − | 0.0873792i | −0.00342466 | − | 0.00593169i | |||||
−1.91519 | + | 3.31720i | −0.129713 | + | 0.224669i | |||||
0.738239 | 0.0498856 | |||||||||
−0.0847301 | − | 0.146757i | −0.00571250 | − | 0.00989434i | |||||
−17.6053 | −1.18426 | |||||||||
−4.36716 | −0.293104 | |||||||||
3.73581 | + | 14.4583i | 0.250168 | + | 0.968202i | |||||
−0.0500871 | −0.00334658 | |||||||||
−4.49317 | −0.299545 | |||||||||
2.03896 | + | 3.53159i | 0.135630 | + | 0.234918i | |||||
−9.78329 | −0.649339 | −0.324670 | − | 0.945827i | ||||||
−0.324670 | + | 0.945827i | ||||||||
2.64073 | − | 4.57387i | 0.174886 | − | 0.302912i | |||||
2.54981 | + | 4.41641i | 0.168496 | + | 0.291844i | 0.937891 | − | 0.346929i | ||
−0.769395 | + | 0.638773i | ||||||||
2.33349 | 0.153866 | |||||||||
−0.0119223 | −0.000784432 | |||||||||
4.04185 | − | 7.00069i | 0.265360 | − | 0.459618i | |||||
−4.65509 | + | 8.06286i | −0.304965 | + | 0.528215i | −0.977254 | − | 0.212074i | ||
0.672288 | + | 0.740289i | ||||||||
−3.04470 | + | 5.27358i | −0.199038 | + | 0.344745i | |||||
−0.714709 | − | 1.23791i | −0.0466225 | − | 0.0807525i | |||||
9.30639 | 0.605794 | |||||||||
−8.04918 | −0.522850 | |||||||||
0.144808 | 0.00938654 | |||||||||
13.6826 | 0.885056 | 0.442528 | − | 0.896755i | ||||||
0.442528 | + | 0.896755i | ||||||||
0.711921 | 0.0459543 | |||||||||
8.23257 | − | 14.2592i | 0.530306 | − | 0.918518i | −0.469068 | − | 0.883162i | ||
0.999375 | − | 0.0353559i | ||||||||
5.47167 | + | 9.47721i | 0.351732 | + | 0.609218i | |||||
−0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | |||||
0.798509 | + | 1.38306i | 0.0511193 | + | 0.0885413i | |||||
2.49083 | − | 4.31425i | 0.159133 | − | 0.275627i | |||||
−5.18670 | − | 8.98363i | −0.330692 | − | 0.572775i | |||||
16.0805 | + | 27.8522i | 1.02317 | + | 1.77219i | |||||
1.00721 | + | 1.74455i | 0.0639582 | + | 0.110779i | |||||
9.06463 | 0.574448 | |||||||||
−6.75839 | −0.427438 | |||||||||
11.6521 | 0.735474 | 0.367737 | − | 0.929930i | ||||||
0.367737 | + | 0.929930i | ||||||||
0.0250435 | − | 0.0433767i | 0.00157759 | − | 0.00273247i | |||||
0.780207 | 0.0490512 | |||||||||
2.66370 | + | 4.61366i | 0.167135 | + | 0.289487i | |||||
−2.05826 | −0.128893 | |||||||||
1.00000 | 0.0625000 | |||||||||
−11.2746 | −0.703292 | −0.351646 | − | 0.936133i | ||||||
−0.351646 | + | 0.936133i | ||||||||
0.543104 | − | 0.940683i | 0.0338122 | − | 0.0585644i | |||||
−0.109369 | + | 0.189433i | −0.00679586 | + | 0.0117708i | |||||
−2.16759 | + | 3.75437i | −0.134428 | + | 0.232836i | |||||
4.04185 | + | 7.00069i | 0.250184 | + | 0.433332i | |||||
−1.75869 | − | 3.04614i | −0.108652 | − | 0.188191i | |||||
−6.15272 | + | 10.6568i | −0.379393 | + | 0.657128i | −0.990974 | − | 0.134054i | ||
0.611581 | + | 0.791182i | ||||||||
0.238032 | 0.0146499 | |||||||||
1.58961 | + | 2.75328i | 0.0976488 | + | 0.169133i | |||||
−0.132266 | − | 0.229092i | −0.00810976 | − | 0.0140465i | |||||
−4.61528 | + | 7.99390i | −0.282450 | + | 0.489219i | |||||
2.18092 | + | 3.77746i | 0.133221 | + | 0.230745i | |||||
−5.20507 | − | 9.01544i | −0.317359 | − | 0.549681i | 0.662577 | − | 0.748993i | ||
−0.979936 | + | 0.199312i | ||||||||
−0.355961 | + | 0.616542i | −0.0216631 | + | 0.0375215i | |||||
−8.72371 | − | 15.1099i | −0.529927 | − | 0.917861i | −0.999390 | − | 0.0349092i | ||
0.469463 | − | 0.882952i | ||||||||
−2.89113 | −0.175301 | |||||||||
0.152500 | + | 0.264138i | 0.00922973 | + | 0.0159864i | |||||
−6.77141 | − | 11.7284i | −0.409076 | − | 0.708540i | |||||
−1.06952 | −0.0644944 | |||||||||
−1.63887 | + | 2.83860i | −0.0986483 | + | 0.170864i | |||||
−21.5632 | −1.29561 | −0.647804 | − | 0.761807i | ||||||
−0.647804 | + | 0.761807i | ||||||||
−1.31959 | − | 2.28560i | −0.0791438 | − | 0.137081i | |||||
−2.01443 | −0.120601 | |||||||||
0.0178290 | − | 0.0308808i | 0.00106549 | − | 0.00184548i | |||||
2.83723 | − | 4.91422i | 0.169255 | − | 0.293158i | −0.768903 | − | 0.639365i | ||
0.938158 | + | 0.346207i | ||||||||
2.00783 | 0.119565 | |||||||||
0.879276 | 0.0522676 | 0.0261338 | − | 0.999658i | ||||||
0.0261338 | + | 0.999658i | ||||||||
1.74602 | + | 3.02420i | 0.103607 | + | 0.179453i | |||||
1.87999 | + | 3.25624i | 0.111361 | + | 0.192883i | |||||
−0.724737 | + | 1.25528i | −0.0428546 | + | 0.0742264i | |||||
−0.519573 | −0.0306694 | |||||||||
−0.500000 | + | 0.866025i | −0.0294628 | + | 0.0510310i | |||||
−8.64134 | −0.508314 | |||||||||
2.87748 | + | 4.98394i | 0.168971 | + | 0.292667i | |||||
−2.14351 | −0.125655 | |||||||||
−0.369119 | + | 0.639334i | −0.0216011 | + | 0.0374142i | |||||
−0.695703 | + | 1.20499i | −0.0406434 | + | 0.0703964i | −0.885632 | − | 0.464389i | ||
0.844988 | + | 0.534785i | ||||||||
3.49875 | + | 6.06001i | 0.204051 | + | 0.353427i | |||||
−3.31271 | + | 5.73778i | −0.192873 | + | 0.334066i | |||||
2.18358 | − | 3.78207i | 0.126918 | − | 0.219828i | |||||
−0.119016 | + | 0.206142i | −0.00690602 | + | 0.0119616i | |||||
3.80880 | − | 6.59703i | 0.220638 | − | 0.382156i | |||||
−9.97974 | − | 17.2854i | −0.577143 | − | 0.999641i | |||||
2.24658 | − | 3.89120i | 0.129707 | − | 0.224658i | |||||
−0.0272025 | − | 0.0471161i | −0.00156792 | − | 0.00271572i | |||||
−9.54177 | + | 16.5268i | −0.549067 | + | 0.951012i | |||||
−7.67946 | + | 13.3012i | −0.441173 | + | 0.764134i | |||||
2.64073 | + | 4.57387i | 0.151456 | + | 0.262330i | |||||
−1.13695 | −0.0651016 | |||||||||
1.44557 | − | 2.50380i | 0.0826376 | − | 0.143132i | |||||
0.860812 | + | 1.49097i | 0.0491292 | + | 0.0850942i | 0.889544 | − | 0.456849i | ||
−0.840415 | + | 0.541943i | ||||||||
0.00596117 | − | 0.0103250i | 0.000339669 | − | 0.000588324i | |||||
6.95706 | + | 12.0500i | 0.395773 | + | 0.685499i | |||||
−1.43411 | −0.0814522 | |||||||||
−0.323617 | + | 0.560522i | −0.0183507 | + | 0.0317843i | −0.875055 | − | 0.484024i | ||
0.856704 | + | 0.515808i | ||||||||
−3.04470 | − | 5.27358i | −0.172372 | − | 0.298558i | |||||
14.0059 | + | 24.2589i | 0.791661 | + | 1.37120i | 0.924938 | + | 0.380118i | ||
−0.133277 | + | 0.991079i | ||||||||
6.48492 | 0.365965 | |||||||||
0.0178290 | + | 0.0308808i | 0.00100455 | + | 0.00173993i | |||||
4.02459 | − | 6.97079i | 0.226401 | − | 0.392138i | |||||
6.48625 | − | 11.2345i | 0.364304 | − | 0.630993i | −0.624360 | − | 0.781137i | ||
0.988664 | + | 0.150144i | ||||||||
−4.46568 | −0.250423 | |||||||||
0.962091 | + | 1.66639i | 0.0538667 | + | 0.0932999i | |||||
−0.355961 | + | 0.616542i | −0.0198988 | + | 0.0344657i | |||||
6.90666 | 0.385492 | |||||||||
0.0820861 | + | 0.142177i | 0.00457448 | + | 0.00792323i | |||||
−7.63470 | − | 13.2237i | −0.424806 | − | 0.735785i | |||||
−0.500000 | − | 0.866025i | −0.0277778 | − | 0.0481125i | |||||
13.6804 | + | 23.6951i | 0.758850 | + | 1.31437i | |||||
−5.53504 | −0.306557 | |||||||||
3.83038 | 0.211820 | |||||||||
10.3734 | 0.572775 | |||||||||
0.0502832 | − | 0.0870931i | 0.00277220 | − | 0.00480160i | |||||
−0.0847301 | + | 0.146757i | −0.00466424 | + | 0.00807870i | |||||
−19.4415 | −1.06860 | −0.534301 | − | 0.845294i | ||||||
−0.534301 | + | 0.845294i | ||||||||
−4.53232 | + | 7.85020i | −0.248743 | + | 0.430836i | |||||
2.18358 | + | 3.78207i | 0.119659 | + | 0.207256i | |||||
3.84736 | 0.210518 | |||||||||
−3.10528 | −0.169660 | |||||||||
0.0250435 | + | 0.0433767i | 0.00136624 | + | 0.00236639i | |||||
−7.49038 | + | 12.9737i | −0.408027 | + | 0.706723i | −0.994669 | − | 0.103123i | ||
0.586642 | + | 0.809847i | ||||||||
24.0809 | 1.30983 | |||||||||
2.03896 | − | 3.53159i | 0.110741 | − | 0.191810i | |||||
1.02913 | − | 1.78250i | 0.0558124 | − | 0.0966699i | |||||
−0.479499 | −0.0259663 | |||||||||
−5.28145 | −0.285588 | |||||||||
0.701093 | 0.0378555 | |||||||||
0.543104 | + | 0.940683i | 0.0292822 | + | 0.0507182i | |||||
−1.16675 | − | 2.02086i | −0.0628154 | − | 0.108800i | |||||
0.646627 | + | 1.11999i | 0.0347629 | + | 0.0602111i | |||||
−16.2473 | − | 28.1412i | −0.872201 | − | 1.51070i | −0.859715 | − | 0.510775i | ||
−0.0124867 | − | 0.999922i | ||||||||
−8.08370 | −0.433332 | |||||||||
16.7922 | − | 29.0849i | 0.898864 | − | 1.55688i | 0.0699153 | − | 0.997553i | ||
0.828949 | − | 0.559325i | ||||||||
−0.112525 | − | 0.194899i | −0.00601470 | − | 0.0104178i | |||||
6.08940 | 0.325028 | |||||||||
−0.119016 | + | 0.206142i | −0.00634358 | + | 0.0109874i | |||||
7.62705 | − | 13.2104i | 0.405947 | − | 0.703120i | −0.588484 | − | 0.808509i | ||
0.994431 | + | 0.105388i | ||||||||
−4.65320 | − | 8.05957i | −0.247315 | − | 0.428361i | |||||
−2.48606 | −0.131946 | |||||||||
−4.61528 | − | 7.99390i | −0.244609 | − | 0.423676i | |||||
−0.0724042 | − | 0.125408i | −0.00383204 | − | 0.00663728i | |||||
−10.4033 | + | 18.0190i | −0.549831 | + | 0.952336i | |||||
−27.3141 | −1.44159 | −0.720793 | − | 0.693151i | ||||||
−0.720793 | + | 0.693151i | ||||||||
−0.355961 | − | 0.616542i | −0.0187608 | − | 0.0324946i | |||||
−4.44688 | + | 7.70222i | −0.234046 | + | 0.405380i | |||||
10.6949 | + | 18.5241i | 0.562110 | + | 0.973603i | |||||
5.47167 | − | 9.47721i | 0.287188 | − | 0.497425i | |||||
−0.305000 | −0.0159864 | |||||||||
−0.262784 | − | 0.455155i | −0.0137547 | − | 0.0238239i | |||||
0.798509 | − | 1.38306i | 0.0417387 | − | 0.0722936i | |||||
3.19056 | − | 5.52621i | 0.166546 | − | 0.288466i | −0.770657 | − | 0.637250i | ||
0.937203 | + | 0.348784i | ||||||||
−1.63887 | − | 2.83860i | −0.0854319 | − | 0.147972i | |||||
−5.18670 | + | 8.98363i | −0.270009 | + | 0.467669i | |||||
1.55454 | + | 2.69254i | 0.0808165 | + | 0.139978i | |||||
−0.111836 | + | 0.193706i | −0.00580626 | + | 0.0100567i | |||||
1.00721 | − | 1.74455i | 0.0522216 | − | 0.0904505i | |||||
2.70078 | − | 4.67788i | 0.139841 | − | 0.242211i | −0.787595 | − | 0.616193i | ||
0.927436 | + | 0.373981i | ||||||||
0.344092 | − | 0.595984i | 0.0177926 | − | 0.0308176i | |||||
3.37919 | + | 5.85293i | 0.174501 | + | 0.302244i | |||||
−1.00392 | + | 1.73883i | −0.0517730 | + | 0.0896735i | |||||
24.6125 | − | 42.6300i | 1.26761 | − | 2.19556i | |||||
−0.0500871 | −0.00257620 | |||||||||
−2.14889 | − | 3.72199i | −0.110381 | − | 0.191186i | 0.805543 | − | 0.592538i | ||
−0.915924 | + | 0.401352i | ||||||||
−3.75998 | −0.192883 | |||||||||
2.66370 | − | 4.61366i | 0.136465 | − | 0.236365i | |||||
−21.0306 | −1.07602 | |||||||||
4.19654 | − | 7.26862i | 0.214433 | − | 0.371409i | −0.738664 | − | 0.674074i | ||
0.953097 | + | 0.302665i | ||||||||
−0.500000 | − | 0.866025i | −0.0255155 | − | 0.0441942i | |||||
0.00424388 | + | 0.00735062i | 0.000216288 | + | 0.000374622i | |||||
−22.9321 | −1.16721 | |||||||||
−1.08621 | −0.0552150 | |||||||||
1.07175 | − | 1.85633i | 0.0544101 | − | 0.0942410i | |||||
−17.4688 | + | 30.2568i | −0.885703 | + | 1.53408i | −0.0407968 | + | 0.999167i | ||
−0.844906 | + | 0.534915i | ||||||||
4.33518 | 0.219520 | |||||||||
4.73819 | + | 8.20679i | 0.239621 | + | 0.415035i | |||||
−6.99749 | −0.353427 | |||||||||
−1.75869 | + | 3.04614i | −0.0887140 | + | 0.153657i | |||||
−7.87651 | −0.396813 | |||||||||
2.86519 | + | 4.96265i | 0.144163 | + | 0.249698i | |||||
−0.119016 | − | 0.206142i | −0.00598079 | − | 0.0103590i | |||||
−10.0967 | −0.506740 | −0.253370 | − | 0.967369i | ||||||
−0.253370 | + | 0.967369i | ||||||||
−11.8545 | − | 20.5326i | −0.594211 | − | 1.02920i | |||||
−0.132266 | + | 0.229092i | −0.00662159 | + | 0.0114689i | |||||
2.24658 | + | 3.89120i | 0.112329 | + | 0.194560i | |||||
3.37268 | + | 5.84166i | 0.168424 | + | 0.291719i | 0.937866 | − | 0.346998i | ||
−0.769442 | + | 0.638717i | ||||||||
2.18092 | − | 3.77746i | 0.108774 | − | 0.188402i | |||||
6.13334 | + | 10.6233i | 0.305523 | + | 0.529182i | |||||
−7.67946 | − | 13.3012i | −0.382067 | − | 0.661760i | |||||
0.711921 | 0.0353756 | |||||||||
−0.202444 | + | 0.350644i | −0.0100471 | + | 0.0174022i | |||||
0.519762 | + | 0.900255i | 0.0257637 | + | 0.0446240i | |||||
1.44557 | + | 2.50380i | 0.0715662 | + | 0.123956i | |||||
16.4609 | − | 28.5112i | 0.813940 | − | 1.40979i | −0.0961459 | − | 0.995367i | ||
0.910086 | − | 0.414419i | ||||||||
−3.69252 | + | 6.39563i | −0.182361 | + | 0.315858i | |||||
−6.77141 | + | 11.7284i | −0.334009 | + | 0.578520i | |||||
−13.9141 | −0.685499 | |||||||||
−0.466130 | −0.0229367 | |||||||||
3.27774 | 0.161092 | |||||||||
−3.22665 | − | 5.58872i | −0.158390 | − | 0.274340i | |||||
6.08940 | 0.298558 | |||||||||
−1.31959 | + | 2.28560i | −0.0646207 | + | 0.111926i | |||||
−1.25716 | −0.0614895 | |||||||||
−21.4045 | −1.04568 | −0.522839 | − | 0.852431i | ||||||
−0.522839 | + | 0.852431i | ||||||||
−0.0356580 | −0.00173993 | |||||||||
10.2834 | + | 17.8114i | 0.501183 | + | 0.868074i | 0.999999 | + | 0.00136603i | ||
−0.498817 | + | 0.866708i | ||||||||
−5.37153 | − | 9.30377i | −0.261482 | − | 0.452900i | |||||
−1.00392 | − | 1.73883i | −0.0488121 | − | 0.0845450i | |||||
2.23284 | − | 3.86739i | 0.108436 | − | 0.187817i | |||||
−6.49518 | − | 11.2500i | −0.315062 | − | 0.545704i | |||||
1.74602 | − | 3.02420i | 0.0845951 | − | 0.146523i | |||||
−0.0399950 | − | 0.0692733i | −0.00193549 | − | 0.00335237i | |||||
−3.45333 | + | 5.98134i | −0.166923 | + | 0.289119i | |||||
1.44947 | 0.0699813 | |||||||||
−0.773294 | −0.0372915 | |||||||||
−3.62208 | −0.174470 | −0.0872348 | − | 0.996188i | ||||||
−0.0872348 | + | 0.996188i | ||||||||
1.00000 | 0.0481125 | |||||||||
23.5556 | 1.13201 | 0.566005 | − | 0.824402i | ||||||
0.566005 | + | 0.824402i | ||||||||
−0.0504484 | − | 0.0873792i | −0.00242160 | − | 0.00419434i | |||||
2.87748 | − | 4.98394i | 0.137964 | − | 0.238962i | |||||
−1.91519 | + | 3.31720i | −0.0917208 | + | 0.158865i | |||||
8.65561 | − | 14.9920i | 0.414054 | − | 0.717163i | |||||
0.738239 | 0.0352744 | |||||||||
16.0295 | 0.765047 | 0.382523 | − | 0.923946i | ||||||
0.382523 | + | 0.923946i | ||||||||
−0.0847301 | − | 0.146757i | −0.00403935 | − | 0.00699636i | |||||
3.49875 | − | 6.06001i | 0.166607 | − | 0.288572i | |||||
−17.6053 | −0.837398 | |||||||||
7.41778 | + | 12.8480i | 0.352429 | + | 0.610426i | 0.986675 | − | 0.162706i | ||
−0.634245 | + | 0.773132i | ||||||||
−4.36716 | −0.207256 | |||||||||
6.57143 | 0.311516 | |||||||||
3.73581 | + | 14.4583i | 0.176896 | + | 0.684622i | |||||
−7.61759 | −0.360300 | |||||||||
−0.0500871 | −0.00236639 | |||||||||
−0.0524197 | − | 0.0907936i | −0.00247384 | − | 0.00428482i | 0.864786 | − | 0.502141i | ||
−0.867260 | + | 0.497856i | ||||||||
−4.49317 | −0.211810 | |||||||||
−1.23460 | + | 2.13839i | −0.0581351 | + | 0.100693i | |||||
2.03896 | + | 3.53159i | 0.0959048 | + | 0.166112i | |||||
19.0835 | 0.896623 | |||||||||
−9.78329 | −0.459152 | |||||||||
0.108568 | − | 0.188045i | 0.00508975 | − | 0.00881571i | |||||
2.64073 | − | 4.57387i | 0.123663 | − | 0.214191i | |||||
15.2865 | − | 26.4770i | 0.715073 | − | 1.23854i | −0.247858 | − | 0.968796i | ||
0.962931 | − | 0.269747i | ||||||||
2.54981 | + | 4.41641i | 0.119145 | + | 0.206365i | |||||
−2.89113 | −0.134947 | |||||||||
2.33349 | 0.108800 | |||||||||
27.9212 | 1.30042 | 0.650209 | − | 0.759755i | ||||||
0.650209 | + | 0.759755i | ||||||||
−0.0119223 | −0.000554677 | |||||||||
−3.93371 | −0.182815 | −0.0914076 | − | 0.995814i | ||||||
−0.0914076 | + | 0.995814i | ||||||||
4.04185 | − | 7.00069i | 0.187638 | − | 0.324999i | |||||
0.717057 | + | 1.24198i | 0.0332527 | + | 0.0575954i | |||||
−4.65509 | + | 8.06286i | −0.215643 | + | 0.373505i | |||||
−8.19816 | − | 14.1996i | −0.379365 | − | 0.657080i | 0.611605 | − | 0.791164i | ||
−0.990970 | + | 0.134083i | ||||||||
−3.04470 | + | 5.27358i | −0.140741 | + | 0.243771i | |||||
−0.109236 | − | 0.189202i | −0.00504404 | − | 0.00873653i | |||||
−0.714709 | − | 1.23791i | −0.0329671 | − | 0.0571006i | |||||
−3.24246 | − | 5.61610i | −0.149405 | − | 0.258776i | |||||
9.30639 | 0.428361 | |||||||||
−0.258552 | −0.0118883 | |||||||||
−8.04918 | −0.369711 | |||||||||
−11.8652 | + | 20.5512i | −0.544414 | + | 0.942953i | |||||
0.144808 | 0.00663728 | |||||||||
2.23284 | + | 3.86739i | 0.102235 | + | 0.177076i | |||||
13.6826 | 0.625829 | |||||||||
30.4075 | 1.38936 | 0.694678 | − | 0.719321i | ||||||
0.694678 | + | 0.719321i | ||||||||
0.711921 | 0.0324946 | |||||||||
13.2967 | − | 23.0306i | 0.606277 | − | 1.05010i | |||||
8.23257 | − | 14.2592i | 0.374983 | − | 0.649490i | |||||
0.0820861 | − | 0.142177i | 0.00373505 | − | 0.00646929i | |||||
5.47167 | + | 9.47721i | 0.248712 | + | 0.430782i | |||||
0.763004 | + | 1.32156i | 0.0346462 | + | 0.0600090i | |||||
−0.500000 | + | 0.866025i | −0.0226805 | + | 0.0392837i | |||||
39.0435 | 1.76923 | 0.884615 | − | 0.466321i | ||||||
0.884615 | + | 0.466321i | ||||||||
0.798509 | + | 1.38306i | 0.0361468 | + | 0.0626081i | |||||
2.76752 | + | 4.79348i | 0.125152 | + | 0.216769i | |||||
2.49083 | − | 4.31425i | 0.112524 | − | 0.194898i | |||||
−16.1006 | − | 27.8871i | −0.726611 | − | 1.25853i | −0.958307 | − | 0.285740i | ||
0.231696 | − | 0.972788i | ||||||||
−5.18670 | − | 8.98363i | −0.233834 | − | 0.405013i | |||||
−11.6855 | + | 20.2399i | −0.526290 | + | 0.911561i | |||||
16.0805 | + | 27.8522i | 0.723494 | + | 1.25313i | |||||
0.169460 | 0.00761667 | |||||||||
1.00721 | + | 1.74455i | 0.0452253 | + | 0.0783325i | |||||
−0.0874532 | − | 0.151473i | −0.00392281 | − | 0.00679451i | |||||
9.06463 | 0.406196 | |||||||||
−8.88900 | + | 15.3962i | −0.397926 | + | 0.689229i | −0.993470 | − | 0.114094i | ||
0.595544 | + | 0.803323i | ||||||||
−6.75839 | −0.302244 | |||||||||
−1.92368 | − | 3.33191i | −0.0859436 | − | 0.148859i | |||||
11.6521 | 0.520059 | |||||||||
10.2168 | − | 17.6960i | 0.455544 | − | 0.789025i | −0.543175 | − | 0.839619i | ||
0.998719 | + | 0.0505941i | ||||||||
0.0250435 | − | 0.0433767i | 0.00111553 | − | 0.00193215i | |||||
10.9343 | 0.486571 | |||||||||
0.780207 | 0.0346844 | |||||||||
−12.0404 | − | 20.8546i | −0.534734 | − | 0.926187i | |||||
2.66370 | + | 4.61366i | 0.118183 | + | 0.204698i | |||||
2.19511 | − | 3.80203i | 0.0972963 | − | 0.168522i | −0.813268 | − | 0.581889i | ||
0.910565 | + | 0.413367i | ||||||||
−2.05826 | −0.0911413 | |||||||||
0.0184881 | − | 0.0320223i | 0.000817866 | − | 0.00141658i | |||||
1.00000 | 0.0441942 | |||||||||
2.64073 | + | 4.57387i | 0.116591 | + | 0.201941i | |||||
−11.2746 | −0.497303 | |||||||||
4.95288 | − | 8.57863i | 0.218250 | − | 0.378020i | |||||
0.543104 | − | 0.940683i | 0.0239088 | − | 0.0414113i | |||||
−0.238964 | − | 0.413899i | −0.0105096 | − | 0.0182032i | |||||
−0.109369 | + | 0.189433i | −0.00480540 | + | 0.00832320i | |||||
0.646627 | − | 1.11999i | 0.0283838 | − | 0.0491621i | |||||
−2.16759 | + | 3.75437i | −0.0950550 | + | 0.164640i | |||||
−6.80779 | + | 11.7914i | −0.298255 | + | 0.516592i | −0.975737 | − | 0.218947i | ||
0.677482 | + | 0.735539i | ||||||||
4.04185 | + | 7.00069i | 0.176907 | + | 0.306412i | |||||
−4.91739 | + | 8.51717i | −0.215022 | + | 0.372430i | −0.953280 | − | 0.302090i | ||
0.738257 | + | 0.674519i | ||||||||
−1.75869 | − | 3.04614i | −0.0768286 | − | 0.133071i | |||||
−0.112525 | + | 0.194899i | −0.00491098 | + | 0.00850608i | |||||
−6.15272 | + | 10.6568i | −0.268271 | + | 0.464660i | |||||
−2.91199 | − | 5.04372i | −0.126848 | − | 0.219708i | |||||
0.238032 | 0.0103590 | |||||||||
6.12822 | − | 10.6144i | 0.266444 | − | 0.461495i | |||||
1.58961 | + | 2.75328i | 0.0690481 | + | 0.119595i | |||||
−4.65320 | + | 8.05957i | −0.201931 | + | 0.349756i | |||||
−0.132266 | − | 0.229092i | −0.00573447 | − | 0.00993239i | |||||
63.1678 | 2.73610 | |||||||||
−4.61528 | + | 7.99390i | −0.199723 | + | 0.345930i | |||||
−2.45850 | − | 4.25824i | −0.106290 | − | 0.184100i | |||||
2.18092 | + | 3.77746i | 0.0942012 | + | 0.163161i | |||||
20.8066 | 0.897871 | |||||||||
−5.20507 | − | 9.01544i | −0.224406 | − | 0.388683i | |||||
0.832814 | − | 1.44248i | 0.0358719 | − | 0.0621319i | |||||
−0.355961 | + | 0.616542i | −0.0153181 | + | 0.0265317i | |||||
27.2969 | 1.17359 | 0.586794 | − | 0.809736i | ||||||
0.586794 | + | 0.809736i | ||||||||
−8.72371 | − | 15.1099i | −0.374715 | − | 0.649026i | |||||
10.6949 | − | 18.5241i | 0.458961 | − | 0.794944i | |||||
−2.89113 | −0.123956 | |||||||||
−1.36346 | − | 2.36159i | −0.0584043 | − | 0.101159i | |||||
0.152500 | + | 0.264138i | 0.00652641 | + | 0.0113041i | |||||
−20.8949 | − | 36.1911i | −0.893403 | − | 1.54742i | −0.835769 | − | 0.549081i | ||
−0.0576332 | − | 0.998338i | ||||||||
−6.77141 | − | 11.7284i | −0.289260 | − | 0.501013i | |||||
−1.59702 | −0.0681591 | |||||||||
−1.06952 | −0.0456044 | |||||||||
42.6937 | 1.81881 | |||||||||
−1.63887 | + | 2.83860i | −0.0697549 | + | 0.120819i | |||||
−0.201580 | + | 0.349146i | −0.00857204 | + | 0.0148472i | |||||
−21.5632 | −0.916133 | |||||||||
1.55454 | − | 2.69254i | 0.0659864 | − | 0.114292i | |||||
−1.31959 | − | 2.28560i | −0.0559631 | − | 0.0969310i | |||||
−41.7961 | −1.77096 | −0.885478 | − | 0.464681i | ||||||
−0.885478 | + | 0.464681i | ||||||||
−2.01443 | −0.0852776 | |||||||||
3.30718 | + | 5.72820i | 0.139879 | + | 0.242277i | |||||
0.0178290 | − | 0.0308808i | 0.000753413 | − | 0.00130495i | |||||
−0.688183 | −0.0290551 | |||||||||
2.83723 | − | 4.91422i | 0.119681 | − | 0.207294i | |||||
−15.7610 | + | 27.2989i | −0.664249 | + | 1.15051i | 0.315240 | + | 0.949012i | ||
−0.979488 | + | 0.201501i | ||||||||
2.00783 | 0.0845450 | |||||||||
−2.90316 | −0.122137 | |||||||||
0.879276 | 0.0369587 | |||||||||
0.0250435 | + | 0.0433767i | 0.00105173 | + | 0.00182165i | |||||
1.74602 | + | 3.02420i | 0.0732615 | + | 0.126893i | |||||
9.51908 | + | 16.4875i | 0.399061 | + | 0.691194i | 0.993610 | − | 0.112865i | ||
−0.594550 | + | 0.804059i | ||||||||
1.87999 | + | 3.25624i | 0.0787441 | + | 0.136389i | |||||
2.31163 | 0.0967388 | 0.0483694 | − | 0.998830i | ||||||
0.0483694 | + | 0.998830i | ||||||||
−0.724737 | + | 1.25528i | −0.0303028 | + | 0.0524860i | |||||
10.5153 | + | 18.2131i | 0.439284 | + | 0.760862i | |||||
−0.519573 | −0.0216866 | |||||||||
7.36371 | − | 12.7543i | 0.307088 | − | 0.531892i | |||||
−0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | |||||
−1.54212 | − | 2.67103i | −0.0641992 | − | 0.111196i | 0.832139 | − | 0.554567i | ||
−0.896338 | + | 0.443370i | ||||||||
−8.64134 | −0.359432 | |||||||||
11.4660 | + | 19.8598i | 0.476513 | + | 0.825344i | |||||
2.87748 | + | 4.98394i | 0.119481 | + | 0.206947i | |||||
0.227010 | − | 0.393194i | 0.00941798 | − | 0.0163124i | |||||
−2.14351 | −0.0888512 | |||||||||
0.531488 | + | 0.920565i | 0.0220120 | + | 0.0381259i | |||||
−0.369119 | + | 0.639334i | −0.0152743 | + | 0.0264558i | |||||
−2.16759 | − | 3.75437i | −0.0896187 | − | 0.155224i | |||||
−0.695703 | + | 1.20499i | −0.0287392 | + | 0.0497778i | |||||
−26.0777 | −1.07634 | −0.538170 | − | 0.842836i | ||||||
−0.538170 | + | 0.842836i | ||||||||
3.49875 | + | 6.06001i | 0.144286 | + | 0.249910i | |||||
−5.31956 | + | 9.21374i | −0.219189 | + | 0.379646i | |||||
−3.31271 | + | 5.73778i | −0.136382 | + | 0.236221i | |||||
3.93825 | + | 6.82125i | 0.161998 | + | 0.280589i | |||||
2.18358 | − | 3.78207i | 0.0897446 | − | 0.155442i | |||||
−8.68051 | − | 15.0351i | −0.356466 | − | 0.617417i | 0.630902 | − | 0.775863i | ||
−0.987368 | + | 0.158446i | ||||||||
−0.119016 | + | 0.206142i | −0.00488329 | + | 0.00845811i | |||||
−0.0515461 | + | 0.0892804i | −0.00211318 | + | 0.00366014i | |||||
3.80880 | − | 6.59703i | 0.156014 | − | 0.270225i | |||||
−11.8545 | + | 20.5326i | −0.485171 | + | 0.840342i | |||||
−9.97974 | − | 17.2854i | −0.408102 | − | 0.706853i | |||||
−2.13484 | + | 3.69765i | −0.0872271 | + | 0.151082i | −0.906338 | − | 0.422553i | ||
0.819111 | + | 0.573635i | ||||||||
2.24658 | − | 3.89120i | 0.0917164 | − | 0.158857i | |||||
23.9511 | 0.976984 | 0.488492 | − | 0.872568i | ||||||
0.488492 | + | 0.872568i | ||||||||
−0.0272025 | − | 0.0471161i | −0.00110869 | − | 0.00192031i | |||||
−4.36183 | −0.177628 | |||||||||
−9.54177 | + | 16.5268i | −0.388249 | + | 0.672467i | |||||
−7.79079 | −0.316741 | |||||||||
−7.67946 | + | 13.3012i | −0.311957 | + | 0.540325i | |||||
−16.4245 | − | 28.4481i | −0.666651 | − | 1.15467i | −0.978835 | − | 0.204652i | ||
0.312184 | − | 0.950022i | ||||||||
2.64073 | + | 4.57387i | 0.107096 | + | 0.185495i | |||||
0.404889 | 0.0164069 | |||||||||
−1.13695 | −0.0460338 | |||||||||
−6.11325 | + | 10.5885i | −0.247316 | + | 0.428363i | |||||
1.44557 | − | 2.50380i | 0.0584336 | − | 0.101210i | |||||
14.7764 | 0.596811 | 0.298406 | − | 0.954439i | ||||||
0.298406 | + | 0.954439i | ||||||||
0.860812 | + | 1.49097i | 0.0347396 | + | 0.0601707i | |||||
7.38504 | 0.297794 | |||||||||
0.00596117 | − | 0.0103250i | 0.000240182 | − | 0.000416008i | |||||
−19.3305 | −0.778217 | −0.389108 | − | 0.921192i | ||||||
−0.389108 | + | 0.921192i | ||||||||
6.95706 | + | 12.0500i | 0.279854 | + | 0.484721i | |||||
21.9517 | + | 38.0215i | 0.882313 | + | 1.52821i | 0.848762 | + | 0.528775i | ||
0.0335510 | + | 0.999437i | ||||||||
−1.43411 | −0.0575954 | |||||||||
−1.63887 | − | 2.83860i | −0.0657655 | − | 0.113909i | |||||
−0.323617 | + | 0.560522i | −0.0129759 | + | 0.0224749i | |||||
0.231166 | + | 0.400391i | 0.00926146 | + | 0.0160413i | |||||
−3.04470 | − | 5.27358i | −0.121886 | − | 0.211112i | |||||
−8.82720 | + | 15.2892i | −0.353088 | + | 0.611567i | |||||
14.0059 | + | 24.2589i | 0.559789 | + | 0.969582i | |||||
0.628578 | + | 1.08873i | 0.0251030 | + | 0.0434797i | |||||
6.48492 | 0.258776 | |||||||||
−6.31302 | + | 10.9345i | −0.251717 | + | 0.435986i | |||||
0.0178290 | + | 0.0308808i | 0.000710325 | + | 0.00123032i | |||||
−8.09263 | − | 14.0169i | −0.322163 | − | 0.558002i | 0.658771 | − | 0.752343i | ||
−0.980934 | + | 0.194341i | ||||||||
4.02459 | − | 6.97079i | 0.160089 | − | 0.277283i | |||||
−5.37153 | + | 9.30377i | −0.213499 | + | 0.369792i | |||||
6.48625 | − | 11.2345i | 0.257602 | − | 0.446179i | |||||
−3.79269 | −0.150508 | |||||||||
−4.46568 | −0.177076 | |||||||||
−42.6106 | −1.68829 | |||||||||
0.962091 | + | 1.66639i | 0.0380895 | + | 0.0659730i | |||||
−3.49205 | −0.138143 | |||||||||
−0.355961 | + | 0.616542i | −0.0140706 | + | 0.0243710i | |||||
4.86958 | 0.192337 | 0.0961685 | − | 0.995365i | ||||||
0.0961685 | + | 0.995365i | ||||||||
6.90666 | 0.272584 | |||||||||
−30.1091 | −1.18739 | −0.593693 | − | 0.804691i | ||||||
−0.593693 | + | 0.804691i | ||||||||
0.0820861 | + | 0.142177i | 0.00323465 | + | 0.00560257i | |||||
0.386647 | + | 0.669692i | 0.0152242 | + | 0.0263691i | |||||
−7.63470 | − | 13.2237i | −0.300383 | − | 0.520279i | |||||
−12.0345 | + | 20.8443i | −0.473123 | + | 0.819473i | −0.999527 | − | 0.0307615i | ||
0.526404 | + | 0.850235i | ||||||||
−0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | |||||
−1.10761 | + | 1.91844i | −0.0434775 | + | 0.0753053i | |||||
13.6804 | + | 23.6951i | 0.536588 | + | 0.929397i | |||||
−0.0504484 | + | 0.0873792i | −0.00197723 | + | 0.00342466i | |||||
−5.53504 | −0.216769 | |||||||||
19.1985 | 0.751294 | 0.375647 | − | 0.926763i | ||||||
0.375647 | + | 0.926763i | ||||||||
3.83038 | 0.149780 | |||||||||
2.50409 | 0.0978430 | |||||||||
10.3734 | 0.405013 | |||||||||
−0.369119 | − | 0.639334i | −0.0144007 | − | 0.0249428i | |||||
0.0502832 | − | 0.0870931i | 0.00196024 | − | 0.00339524i | |||||
−19.0439 | + | 32.9849i | −0.741843 | + | 1.28491i | 0.209812 | + | 0.977742i | ||
−0.951655 | + | 0.307169i | ||||||||
−0.0847301 | + | 0.146757i | −0.00329811 | + | 0.00571250i | |||||
−24.0288 | −0.934614 | −0.467307 | − | 0.884095i | ||||||
−0.467307 | + | 0.884095i | ||||||||
−19.4415 | −0.755616 | |||||||||
8.80264 | + | 15.2466i | 0.341866 | + | 0.592130i | |||||
−4.53232 | + | 7.85020i | −0.175888 | + | 0.304647i | |||||
0.188326 | 0.00730298 | |||||||||
2.18358 | + | 3.78207i | 0.0846120 | + | 0.146552i | |||||
−26.4962 | −1.02594 | |||||||||
3.84736 | 0.148859 | |||||||||
10.6534 | − | 10.4645i | 0.411884 | − | 0.404580i | |||||
−3.10528 | −0.119967 | |||||||||
−0.380142 | −0.0146752 | |||||||||
0.0250435 | + | 0.0433767i | 0.000966075 | + | 0.00167329i | |||||
10.8852 | 0.419592 | 0.209796 | − | 0.977745i | ||||||
0.209796 | + | 0.977745i | ||||||||
−7.49038 | + | 12.9737i | −0.288519 | + | 0.499729i | |||||
2.24658 | + | 3.89120i | 0.0864711 | + | 0.149772i | |||||
24.0809 | 0.926187 | |||||||||
30.3616 | 1.16689 | 0.583445 | − | 0.812152i | ||||||
0.583445 | + | 0.812152i | ||||||||
2.03896 | − | 3.53159i | 0.0783059 | − | 0.135630i | |||||
−0.0536810 | + | 0.0929782i | −0.00206009 | + | 0.00356818i | |||||
1.02913 | − | 1.78250i | 0.0394653 | − | 0.0683559i | |||||
4.89164 | + | 8.47257i | 0.187448 | + | 0.324670i | |||||
−0.479499 | −0.0183610 | |||||||||
21.3729 | 0.817812 | 0.408906 | − | 0.912577i | ||||||
0.408906 | + | 0.912577i | ||||||||
−5.28145 | −0.201941 | |||||||||
9.64141 | 0.368379 | |||||||||
0.701093 | 0.0267679 | |||||||||
2.54981 | − | 4.41641i | 0.0972815 | − | 0.168496i | |||||
0.543104 | + | 0.940683i | 0.0207056 | + | 0.0358632i | |||||
13.5967 | − | 23.5501i | 0.517992 | − | 0.897189i | |||||
−1.16675 | − | 2.02086i | −0.0444172 | − | 0.0769329i | |||||
13.3532 | − | 23.1284i | 0.507979 | − | 0.879846i | −0.491978 | − | 0.870608i | ||
0.999957 | − | 0.00923827i | ||||||||
0.646627 | + | 1.11999i | 0.0245811 | + | 0.0425756i | |||||
0.00596117 | + | 0.0103250i | 0.000226446 | + | 0.000392216i | |||||
−16.2473 | − | 28.1412i | −0.616739 | − | 1.06822i | |||||
1.87889 | 0.0712704 | |||||||||
−8.08370 | −0.306412 | |||||||||
−29.9909 | −1.13599 | |||||||||
16.7922 | − | 29.0849i | 0.635593 | − | 1.10088i | |||||
9.31019 | 0.352144 | |||||||||
−0.112525 | − | 0.194899i | −0.00425304 | − | 0.00736648i | |||||
−40.3493 | −1.52397 | −0.761986 | − | 0.647594i | ||||||
−0.761986 | + | 0.647594i | ||||||||
6.08940 | 0.229830 | |||||||||
23.0649 | 0.869911 | |||||||||
−0.119016 | + | 0.206142i | −0.00448559 | + | 0.00776927i | |||||
−0.714709 | + | 1.23791i | −0.0269175 | + | 0.0466225i | |||||
7.62705 | − | 13.2104i | 0.287048 | − | 0.497181i | |||||
0.384641 | + | 0.666218i | 0.0144659 | + | 0.0250557i | |||||
−4.65320 | − | 8.05957i | −0.174878 | − | 0.302897i | |||||
25.0533 | − | 43.3937i | 0.940898 | − | 1.62968i | 0.177135 | − | 0.984187i | ||
0.763763 | − | 0.645496i | ||||||||
−2.48606 | −0.0933002 | |||||||||
4.02459 | + | 6.97079i | 0.150934 | + | 0.261425i | |||||
−4.61528 | − | 7.99390i | −0.172965 | − | 0.299584i | |||||
3.30138 | − | 5.71817i | 0.123638 | − | 0.214147i | |||||
−0.0724042 | − | 0.125408i | −0.00270966 | − | 0.00469327i | |||||
−0.515956 | − | 0.893662i | −0.0192957 | − | 0.0334211i | |||||
−10.4033 | + | 18.0190i | −0.388790 | + | 0.673403i | |||||
−6.84131 | − | 11.8495i | −0.255494 | − | 0.442528i | |||||
−27.3141 | −1.01935 | |||||||||
26.0177 | + | 45.0639i | 0.970296 | + | 1.68060i | 0.694659 | + | 0.719339i | ||
0.275637 | + | 0.961262i | ||||||||
−0.355961 | − | 0.616542i | −0.0132659 | − | 0.0229772i | |||||
0.696917 | 0.0259545 | |||||||||
−4.44688 | + | 7.70222i | −0.165496 | + | 0.286647i | |||||
−16.4651 | −0.612345 | |||||||||
10.6949 | + | 18.5241i | 0.397472 | + | 0.688441i | |||||
36.3214 | 1.34894 | |||||||||
5.47167 | − | 9.47721i | 0.203073 | − | 0.351732i | |||||
21.4731 | − | 37.1925i | 0.796393 | − | 1.37939i | −0.125557 | − | 0.992086i | ||
0.921951 | − | 0.387307i | ||||||||
−0.305000 | −0.0113041 | |||||||||
1.00000 | 0.0370370 | |||||||||
−0.262784 | − | 0.455155i | −0.00972607 | − | 0.0168460i | |||||
−1.57019 | − | 2.71964i | −0.0580754 | − | 0.100590i | |||||
0.798509 | − | 1.38306i | 0.0295138 | − | 0.0511193i | |||||
−2.15962 | −0.0797672 | −0.0398836 | − | 0.999204i | ||||||
−0.0398836 | + | 0.999204i | ||||||||
3.19056 | − | 5.52621i | 0.117766 | − | 0.203976i | |||||
−4.98166 | −0.183751 | |||||||||
−1.63887 | − | 2.83860i | −0.0604095 | − | 0.104632i | |||||
−1.03826 | −0.0382447 | |||||||||
−5.18670 | + | 8.98363i | −0.190925 | + | 0.330692i | |||||
9.95834 | − | 17.2484i | 0.366324 | − | 0.634491i | −0.622664 | − | 0.782489i | ||
0.988988 | + | 0.147998i | ||||||||
1.55454 | + | 2.69254i | 0.0571459 | + | 0.0989796i | |||||
16.0805 | − | 27.8522i | 0.590730 | − | 1.02317i | |||||
−0.111836 | + | 0.193706i | −0.00410565 | + | 0.00711119i | |||||
9.20375 | − | 15.9414i | 0.337653 | − | 0.584832i | −0.646338 | − | 0.763051i | ||
0.983991 | + | 0.178220i | ||||||||
1.00721 | − | 1.74455i | 0.0369263 | − | 0.0639582i | |||||
2.71156 | + | 4.69656i | 0.0993440 | + | 0.172069i | |||||
2.70078 | − | 4.67788i | 0.0988824 | − | 0.171269i | |||||
−4.53232 | − | 7.85020i | −0.165829 | − | 0.287224i | |||||
0.344092 | − | 0.595984i | 0.0125812 | − | 0.0217913i | |||||
0.172967 | − | 0.299588i | 0.00632008 | − | 0.0109467i | |||||
3.37919 | + | 5.85293i | 0.123391 | + | 0.213719i | |||||
−14.4658 | −0.527866 | −0.263933 | − | 0.964541i | ||||||
−0.263933 | + | 0.964541i | ||||||||
−1.00392 | + | 1.73883i | −0.0366091 | + | 0.0634088i | |||||
−5.82605 | − | 10.0910i | −0.212313 | − | 0.367737i | |||||
24.6125 | − | 42.6300i | 0.896333 | − | 1.55249i | |||||
−6.79298 | − | 11.7658i | −0.247222 | − | 0.428201i | |||||
−0.0500871 | −0.00182165 | |||||||||
1.17056 | − | 2.02747i | 0.0425448 | − | 0.0736898i | −0.843969 | − | 0.536392i | ||
0.886514 | + | 0.462702i | ||||||||
−2.14889 | − | 3.72199i | −0.0780513 | − | 0.135189i | |||||
−0.390104 | − | 0.675679i | −0.0141599 | − | 0.0245256i | |||||
−3.75998 | −0.136389 | |||||||||
16.6798 | + | 28.8903i | 0.604643 | + | 1.04727i | 0.992108 | + | 0.125388i | ||
−0.387465 | + | 0.921884i | ||||||||
2.66370 | − | 4.61366i | 0.0964956 | − | 0.167135i | |||||
0.0959261 | − | 0.166149i | 0.00347276 | − | 0.00601499i | |||||
−21.0306 | −0.760862 | |||||||||
1.02913 | + | 1.78250i | 0.0372083 | + | 0.0644466i | |||||
4.19654 | − | 7.26862i | 0.151627 | − | 0.262626i | |||||
56.6704 | 2.04625 | |||||||||
−0.500000 | − | 0.866025i | −0.0180422 | − | 0.0312500i | |||||
16.9215 | + | 29.3089i | 0.610206 | + | 1.05691i | 0.991205 | + | 0.132332i | ||
−0.381000 | + | 0.924575i | ||||||||
0.00424388 | + | 0.00735062i | 0.000152939 | + | 0.000264898i | |||||
5.63732 | + | 9.76412i | 0.203023 | + | 0.351646i | |||||
−22.9321 | −0.825344 | |||||||||
−2.06534 | −0.0742852 | −0.0371426 | − | 0.999310i | ||||||
−0.0371426 | + | 0.999310i | ||||||||
−1.08621 | −0.0390429 | |||||||||
−4.52558 | + | 7.83854i | −0.162564 | + | 0.281569i | |||||
1.07175 | − | 1.85633i | 0.0384737 | − | 0.0666384i | |||||
0.218738 | 0.00784719 | |||||||||
−17.4688 | + | 30.2568i | −0.626286 | + | 1.08476i | |||||
27.3933 | + | 47.4466i | 0.981467 | + | 1.69995i | |||||
4.33518 | 0.155224 | |||||||||
−0.831220 | −0.0297434 | |||||||||
4.73819 | + | 8.20679i | 0.169437 | + | 0.293474i | |||||
4.04185 | − | 7.00069i | 0.144444 | − | 0.250184i | |||||
−6.99749 | −0.249910 | |||||||||
−2.30837 | + | 3.99822i | −0.0823894 | + | 0.142703i | |||||
−1.75869 | + | 3.04614i | −0.0627303 | + | 0.108652i | |||||
−44.3100 | −1.57948 | −0.789740 | − | 0.613442i | ||||||
−0.789740 | + | 0.613442i | ||||||||
−7.87651 | −0.280589 | |||||||||
12.3054 | 0.438085 | |||||||||
2.86519 | + | 4.96265i | 0.101939 | + | 0.176563i | |||||
−0.102126 | − | 0.176887i | −0.00363117 | − | 0.00628937i | |||||
−0.119016 | − | 0.206142i | −0.00422905 | − | 0.00732494i | |||||
4.86245 | + | 8.42200i | 0.172671 | + | 0.299074i | |||||
−10.0967 | −0.358319 | |||||||||
1.58961 | − | 2.75328i | 0.0563775 | − | 0.0976488i | |||||
−11.8545 | − | 20.5326i | −0.420171 | − | 0.727757i | |||||
−47.5531 | −1.68442 | −0.842209 | − | 0.539151i | ||||||
−0.842209 | + | 0.539151i | ||||||||
−0.132266 | + | 0.229092i | −0.00468217 | + | 0.00810976i | |||||
2.90246 | − | 5.02720i | 0.102682 | − | 0.177850i | |||||
2.24658 | + | 3.89120i | 0.0794287 | + | 0.137575i | |||||
9.23056 | 0.326146 | |||||||||
3.37268 | + | 5.84166i | 0.119094 | + | 0.206276i | |||||
−0.0878623 | − | 0.152182i | −0.00310059 | − | 0.00537039i | |||||
2.18092 | − | 3.77746i | 0.0769150 | − | 0.133221i | |||||
−0.116878 | −0.00411940 | |||||||||
6.13334 | + | 10.6233i | 0.216038 | + | 0.374188i | |||||
−5.20507 | + | 9.01544i | −0.183227 | + | 0.317359i | |||||
−7.67946 | − | 13.3012i | −0.270162 | − | 0.467935i | |||||
−3.83432 | + | 6.64124i | −0.134808 | + | 0.233494i | −0.925524 | − | 0.378689i | ||
0.790716 | + | 0.612183i | ||||||||
0.711921 | 0.0250144 | |||||||||
6.22974 | + | 10.7902i | 0.218756 | + | 0.378896i | 0.954428 | − | 0.298442i | ||
−0.735672 | + | 0.677338i | ||||||||
−0.202444 | + | 0.350644i | −0.00710440 | + | 0.0123052i | |||||
−8.72371 | + | 15.1099i | −0.305954 | + | 0.529927i | |||||
0.519762 | + | 0.900255i | 0.0182177 | + | 0.0315539i | |||||
1.97025 | − | 3.41258i | 0.0690150 | − | 0.119538i | |||||
1.44557 | + | 2.50380i | 0.0506050 | + | 0.0876504i | |||||
−2.86838 | + | 4.96818i | −0.100352 | + | 0.173814i | |||||
16.4609 | − | 28.5112i | 0.575543 | − | 0.996869i | |||||
0.152500 | − | 0.264138i | 0.00532879 | − | 0.00922973i | |||||
−3.69252 | + | 6.39563i | −0.128948 | + | 0.223345i | |||||
24.1305 | + | 41.7952i | 0.842160 | + | 1.45866i | 0.888065 | + | 0.459718i | ||
−0.0459049 | + | 0.998946i | ||||||||
−6.77141 | + | 11.7284i | −0.236180 | + | 0.409076i | |||||
13.4462 | − | 23.2895i | 0.468705 | − | 0.811822i | −0.530655 | − | 0.847588i | ||
0.999360 | + | 0.0357664i | ||||||||
−13.9141 | −0.484721 | |||||||||
0.534760 | + | 0.926231i | 0.0186179 | + | 0.0322472i | |||||
−0.466130 | −0.0162187 | |||||||||
7.28594 | − | 12.6196i | 0.253357 | − | 0.438827i | −0.711091 | − | 0.703100i | ||
0.964448 | + | 0.264273i | ||||||||
3.27774 | 0.113909 | |||||||||
4.27916 | − | 7.41173i | 0.148621 | − | 0.257420i | −0.782097 | − | 0.623157i | ||
0.930718 | + | 0.365737i | ||||||||
−3.22665 | − | 5.58872i | −0.111999 | − | 0.193987i | |||||
10.7816 | + | 18.6743i | 0.374010 | + | 0.647804i | |||||
6.08940 | 0.211112 | |||||||||
20.2307 | 0.700952 | |||||||||
−1.31959 | + | 2.28560i | −0.0456937 | + | 0.0791438i | |||||
−1.36951 | + | 2.37206i | −0.0473937 | + | 0.0820884i | |||||
−1.25716 | −0.0434797 | |||||||||
1.00721 | + | 1.74455i | 0.0348144 | + | 0.0603004i | |||||
−21.4045 | −0.739406 | |||||||||
26.4520 | − | 45.8162i | 0.913224 | − | 1.58175i | 0.103743 | − | 0.994604i | ||
0.809481 | − | 0.587146i | ||||||||
−0.0356580 | −0.00123032 | |||||||||
−18.1731 | − | 31.4767i | −0.626658 | − | 1.08540i | |||||
10.2834 | + | 17.8114i | 0.354390 | + | 0.613821i | |||||
−5.67445 | −0.195439 | |||||||||
−5.37153 | − | 9.30377i | −0.184896 | − | 0.320249i | |||||
−8.57183 | + | 14.8468i | −0.294880 | + | 0.510747i | |||||
−1.00392 | − | 1.73883i | −0.0345154 | − | 0.0597823i | |||||
−0.274060 | − | 0.474686i | −0.00941681 | − | 0.0163104i | |||||
2.23284 | − | 3.86739i | 0.0766761 | − | 0.132807i | |||||
−0.439638 | − | 0.761476i | −0.0150883 | − | 0.0261338i | |||||
−6.49518 | − | 11.2500i | −0.222783 | − | 0.385871i | |||||
−14.3144 | −0.490691 | |||||||||
1.74602 | − | 3.02420i | 0.0598178 | − | 0.103607i | |||||
17.0838 | + | 29.5900i | 0.584938 | + | 1.01314i | 0.994883 | + | 0.101033i | ||
−0.409945 | + | 0.912110i | ||||||||
−0.0399950 | − | 0.0692733i | −0.00136860 | − | 0.00237049i | |||||
1.87999 | − | 3.25624i | 0.0642943 | − | 0.111361i | |||||
−3.45333 | + | 5.98134i | −0.118032 | + | 0.204438i | |||||
22.5276 | − | 39.0190i | 0.769529 | − | 1.33286i | −0.168290 | − | 0.985738i | ||
0.937819 | − | 0.347126i | ||||||||
1.44947 | 0.0494843 | |||||||||
35.3463 | 1.20600 | 0.602999 | − | 0.797742i | ||||||
0.602999 | + | 0.797742i | ||||||||
−0.773294 | −0.0263691 | |||||||||
0.259787 | + | 0.449963i | 0.00885350 | + | 0.0153347i | |||||
−3.62208 | −0.123369 | |||||||||
−14.0683 | + | 24.3669i | −0.478889 | + | 0.829460i | −0.999707 | − | 0.0242075i | ||
0.520818 | + | 0.853668i | ||||||||
1.00000 | 0.0340207 | |||||||||
−0.920694 | −0.0313045 | |||||||||
23.5556 | 0.800452 | |||||||||
4.32067 | + | 7.48362i | 0.146738 | + | 0.254157i | |||||
−0.0504484 | − | 0.0873792i | −0.00171233 | − | 0.00296584i | |||||
0.957982 | + | 1.65927i | 0.0324973 | + | 0.0562870i | |||||
2.87748 | − | 4.98394i | 0.0975556 | − | 0.168971i | |||||
13.2805 | + | 23.0025i | 0.449992 | + | 0.779409i | |||||
−1.91519 | + | 3.31720i | −0.0648564 | + | 0.112335i | |||||
1.07175 | + | 1.85633i | 0.0362734 | + | 0.0628273i | |||||
8.65561 | − | 14.9920i | 0.292780 | − | 0.507110i | |||||
0.338508 | 0.0114436 | |||||||||
0.738239 | 0.0249428 | |||||||||
−35.0531 | −1.18366 | −0.591829 | − | 0.806064i | ||||||
−0.591829 | + | 0.806064i | ||||||||
16.0295 | 0.540970 | |||||||||
1.39141 | 0.0469309 | |||||||||
−0.0847301 | − | 0.146757i | −0.00285625 | − | 0.00494717i | |||||
12.0494 | − | 20.8702i | 0.405955 | − | 0.703134i | −0.588477 | − | 0.808514i | ||
0.994432 | + | 0.105380i | ||||||||
3.49875 | − | 6.06001i | 0.117809 | − | 0.204051i | |||||
12.8255 | − | 22.2144i | 0.431612 | − | 0.747573i | −0.565401 | − | 0.824816i | ||
0.997012 | + | 0.0772431i | ||||||||
−17.6053 | −0.592130 | |||||||||
6.62542 | 0.222711 | |||||||||
7.41778 | + | 12.8480i | 0.249205 | + | 0.431636i | |||||
3.49064 | − | 6.04597i | 0.117204 | − | 0.203004i | −0.801454 | − | 0.598056i | ||
0.918659 | + | 0.395052i | ||||||||
−4.36716 | −0.146552 | |||||||||
−0.133417 | − | 0.231085i | −0.00447466 | − | 0.00775033i | |||||
6.57143 | 0.220275 | |||||||||
0.238032 | 0.00797438 | |||||||||
3.73581 | + | 14.4583i | 0.125084 | + | 0.484101i | |||||
−10.6043 | −0.354859 | |||||||||
−7.61759 | −0.254770 | |||||||||
−7.40633 | − | 12.8281i | −0.247566 | − | 0.428797i | |||||
−0.0500871 | −0.00167329 | |||||||||
−9.97974 | + | 17.2854i | −0.333214 | + | 0.577143i | |||||
−0.0524197 | − | 0.0907936i | −0.00174927 | − | 0.00302982i | |||||
16.2840 | 0.543103 | |||||||||
−4.49317 | −0.149772 | |||||||||
−6.45544 | + | 11.1812i | −0.215062 | + | 0.372498i | |||||
−1.23460 | + | 2.13839i | −0.0411077 | + | 0.0712007i | |||||
−0.0272025 | + | 0.0471161i | −0.000905242 | + | 0.00156792i | |||||
2.03896 | + | 3.53159i | 0.0678149 | + | 0.117459i | |||||
−15.2278 | −0.506189 | |||||||||
19.0835 | 0.634008 | |||||||||
−51.4319 | −1.70777 | −0.853885 | − | 0.520462i | ||||||
−0.853885 | + | 0.520462i | ||||||||
−9.78329 | −0.324670 | |||||||||
15.3589 | 0.509423 | |||||||||
0.108568 | − | 0.188045i | 0.00359900 | − | 0.00623365i | |||||
2.90709 | + | 5.03522i | 0.0963161 | + | 0.166824i | 0.910157 | − | 0.414263i | ||
−0.813841 | + | 0.581088i | ||||||||
2.64073 | − | 4.57387i | 0.0874432 | − | 0.151456i | |||||
−1.07884 | − | 1.86860i | −0.0357043 | − | 0.0618417i | |||||
15.2865 | − | 26.4770i | 0.505633 | − | 0.875782i | |||||
0.568476 | + | 0.984629i | 0.0187932 | + | 0.0325508i | |||||
2.54981 | + | 4.41641i | 0.0842482 | + | 0.145922i | |||||
0.0880875 | + | 0.152572i | 0.00290890 | + | 0.00503837i | |||||
−2.89113 | −0.0954217 | |||||||||
9.40255 | 0.310162 | 0.155081 | − | 0.987902i | ||||||
0.155081 | + | 0.987902i | ||||||||
2.33349 | 0.0769329 | |||||||||
0.860812 | − | 1.49097i | 0.0283647 | − | 0.0491292i | |||||
27.9212 | 0.919535 | |||||||||
10.6322 | + | 18.4156i | 0.349965 | + | 0.606156i | |||||
−0.0119223 | −0.000392216 | |||||||||
19.6224 | 0.645180 | |||||||||
−3.93371 | −0.129270 | |||||||||
6.95706 | − | 12.0500i | 0.228500 | − | 0.395773i | |||||
4.04185 | − | 7.00069i | 0.132680 | − | 0.229809i | |||||
10.4614 | − | 18.1197i | 0.343228 | − | 0.594489i | −0.641802 | − | 0.766870i | ||
0.985030 | + | 0.172382i | ||||||||
0.717057 | + | 1.24198i | 0.0235132 | + | 0.0407261i | |||||
−18.4785 | − | 32.0056i | −0.605607 | − | 1.04894i | |||||
−4.65509 | + | 8.06286i | −0.152483 | + | 0.264108i | |||||
0.647235 | 0.0211895 | |||||||||
−8.19816 | − | 14.1996i | −0.268252 | − | 0.464626i | |||||
0.244966 | + | 0.424294i | 0.00801125 | + | 0.0138759i | |||||
−3.04470 | + | 5.27358i | −0.0995192 | + | 0.172372i | |||||
−0.499929 | − | 0.865903i | −0.0163320 | − | 0.0282878i | 0.857744 | − | 0.514077i | ||
−0.874076 | + | 0.485789i | ||||||||
−0.109236 | − | 0.189202i | −0.00356667 | − | 0.00617766i | |||||
14.0059 | − | 24.2589i | 0.457066 | − | 0.791661i | |||||
−0.714709 | − | 1.23791i | −0.0233112 | − | 0.0403763i | |||||
−31.9629 | −1.04196 | −0.520980 | − | 0.853569i | ||||||
−0.520980 | + | 0.853569i | ||||||||
−3.24246 | − | 5.61610i | −0.105645 | − | 0.182983i | |||||
−17.0006 | − | 29.4460i | −0.553617 | − | 0.958893i | |||||
9.30639 | 0.302897 | |||||||||
0.0178290 | − | 0.0308808i | 0.000579978 | − | 0.00100455i | |||||
−0.258552 | −0.00840626 | |||||||||
−1.48187 | − | 2.56668i | −0.0481544 | − | 0.0834058i | 0.840944 | − | 0.541123i | ||
−0.889098 | + | 0.457717i | ||||||||
−8.04918 | −0.261425 | |||||||||
−2.24772 | + | 3.89316i | −0.0729640 | + | 0.126377i | |||||
−11.8652 | + | 20.5512i | −0.384959 | + | 0.666768i | |||||
−12.9725 | −0.420662 | |||||||||
0.144808 | 0.00469327 | |||||||||
−7.57833 | − | 13.1261i | −0.245486 | − | 0.425195i | 0.716782 | − | 0.697297i | ||
−0.962268 | + | 0.272103i | ||||||||
2.23284 | + | 3.86739i | 0.0722909 | + | 0.125212i | |||||
7.48608 | − | 12.9663i | 0.242244 | − | 0.419579i | |||||
13.6826 | 0.442528 | |||||||||
0.962091 | − | 1.66639i | 0.0311000 | − | 0.0538667i | |||||
30.4075 | 0.982423 | |||||||||
0.339160 | + | 0.587442i | 0.0109520 | + | 0.0189695i | |||||
0.711921 | 0.0229772 | |||||||||
13.4710 | − | 23.3325i | 0.434550 | − | 0.752662i | |||||
13.2967 | − | 23.0306i | 0.428703 | − | 0.742535i | |||||
−3.45333 | − | 5.98134i | −0.111282 | − | 0.192746i | |||||
8.23257 | − | 14.2592i | 0.265153 | − | 0.459259i | |||||
8.16292 | − | 14.1386i | 0.262774 | − | 0.455137i | |||||
0.0820861 | − | 0.142177i | 0.00264108 | − | 0.00457448i | |||||
15.1835 | − | 26.2987i | 0.488270 | − | 0.845708i | −0.511639 | − | 0.859200i | ||
0.999909 | + | 0.0134925i | ||||||||
5.47167 | + | 9.47721i | 0.175866 | + | 0.304609i | |||||
−7.63470 | + | 13.2237i | −0.245262 | + | 0.424806i | |||||
0.763004 | + | 1.32156i | 0.0244986 | + | 0.0424328i | |||||
−21.6894 | + | 37.5671i | −0.696045 | + | 1.20559i | 0.273782 | + | 0.961792i | ||
−0.969827 | + | 0.243794i | ||||||||
−0.500000 | + | 0.866025i | −0.0160375 | + | 0.0277778i | |||||
0.0660945 | + | 0.114479i | 0.00211889 | + | 0.00367003i | |||||
39.0435 | 1.25104 | |||||||||
13.6804 | − | 23.6951i | 0.438122 | − | 0.758850i | |||||
0.798509 | + | 1.38306i | 0.0255597 | + | 0.0442706i | |||||
−12.9093 | + | 22.3595i | −0.413004 | + | 0.715343i | −0.995217 | − | 0.0976932i | ||
0.582213 | + | 0.813036i | ||||||||
2.76752 | + | 4.79348i | 0.0884955 | + | 0.153279i | |||||
2.19717 | 0.0702219 | |||||||||
2.49083 | − | 4.31425i | 0.0795667 | − | 0.137814i | |||||
−1.91519 | − | 3.31720i | −0.0611472 | − | 0.105910i | |||||
−16.1006 | − | 27.8871i | −0.513792 | − | 0.889914i | |||||
17.3761 | 0.554211 | 0.277106 | − | 0.960839i | ||||||
0.277106 | + | 0.960839i | ||||||||
−5.18670 | − | 8.98363i | −0.165346 | − | 0.286388i | |||||
2.80373 | − | 4.85619i | 0.0893341 | − | 0.154731i | |||||
−11.6855 | + | 20.2399i | −0.372143 | + | 0.644571i | |||||
−0.100566 | −0.00320107 | |||||||||
16.0805 | + | 27.8522i | 0.511587 | + | 0.886095i | |||||
1.78015 | − | 3.08331i | 0.0566055 | − | 0.0980436i | |||||
0.169460 | 0.00538580 | |||||||||
2.59261 | + | 4.49053i | 0.0823569 | + | 0.142646i | 0.904262 | − | 0.426978i | ||
−0.821905 | + | 0.569625i | ||||||||
1.00721 | + | 1.74455i | 0.0319791 | + | 0.0553894i | |||||
9.72076 | + | 16.8369i | 0.308479 | + | 0.534301i | |||||
−0.0874532 | − | 0.151473i | −0.00277385 | − | 0.00480444i | |||||
16.8789 | 0.535097 | |||||||||
9.06463 | 0.287224 | |||||||||
−13.7049 | −0.434038 | −0.217019 | − | 0.976167i | ||||||
−0.217019 | + | 0.976167i | ||||||||
−8.88900 | + | 15.3962i | −0.281376 | + | 0.487358i | |||||
2.18358 | − | 3.78207i | 0.0690854 | − | 0.119659i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1338.2.e.j.1075.3 | yes | 18 | |
223.39 | even | 3 | inner | 1338.2.e.j.931.3 | ✓ | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1338.2.e.j.931.3 | ✓ | 18 | 223.39 | even | 3 | inner | |
1338.2.e.j.1075.3 | yes | 18 | 1.1 | even | 1 | trivial |