Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(47,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 400.bi (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 | 127.1 | ||
Root | of defining polynomial | ||
Character | 400.127 | ||
Dual form | 400.2.bi.c.63.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0 | 0 | |||||||||
−2.58417 | + | 1.31670i | −1.49197 | + | 0.760198i | −0.994244 | − | 0.107136i | ||
−0.497727 | + | 0.867334i | ||||||||
0 | 0 | |||||||||
−2.23607 | −1.00000 | |||||||||
0 | 0 | |||||||||
−1.62753 | + | 1.62753i | −0.615149 | + | 0.615149i | −0.944283 | − | 0.329134i | ||
0.329134 | + | 0.944283i | ||||||||
0 | 0 | |||||||||
3.18088 | − | 4.37811i | 1.06029 | − | 1.45937i | |||||
0 | 0 | |||||||||
1.12460 | + | 1.54787i | 0.339079 | + | 0.466702i | 0.944172 | − | 0.329453i | ||
−0.605093 | + | 0.796154i | ||||||||
0 | 0 | |||||||||
−0.951057 | + | 0.150633i | −0.263776 | + | 0.0417780i | −0.286921 | − | 0.957954i | ||
0.0231457 | + | 0.999732i | ||||||||
0 | 0 | |||||||||
5.77838 | − | 2.94423i | 1.49197 | − | 0.760198i | |||||
0 | 0 | |||||||||
2.48990 | − | 4.88670i | 0.603889 | − | 1.18520i | −0.363426 | − | 0.931623i | ||
0.967315 | − | 0.253576i | ||||||||
0 | 0 | |||||||||
−1.87751 | − | 5.77838i | −0.430730 | − | 1.32565i | −0.897399 | − | 0.441219i | ||
0.466669 | − | 0.884432i | ||||||||
0 | 0 | |||||||||
2.06285 | − | 6.34879i | 0.450150 | − | 1.38542i | |||||
0 | 0 | |||||||||
−2.55374 | − | 0.404473i | −0.532493 | − | 0.0843385i | −0.115603 | − | 0.993296i | ||
−0.416890 | + | 0.908957i | ||||||||
0 | 0 | |||||||||
5.00000 | 1.00000 | |||||||||
0 | 0 | |||||||||
−1.09417 | + | 6.90832i | −0.210573 | + | 1.32951i | |||||
0 | 0 | |||||||||
2.65063 | + | 0.861243i | 0.492210 | + | 0.159929i | 0.544597 | − | 0.838698i | ||
−0.0523865 | + | 0.998627i | ||||||||
0 | 0 | |||||||||
9.86654 | − | 3.20583i | 1.77208 | − | 0.575784i | 0.773749 | − | 0.633492i | ||
0.998334 | + | 0.0577079i | ||||||||
0 | 0 | |||||||||
−4.94424 | − | 2.51921i | −0.860681 | − | 0.438539i | |||||
0 | 0 | |||||||||
3.63927 | − | 3.63927i | 0.615149 | − | 0.615149i | |||||
0 | 0 | |||||||||
1.58628 | + | 10.0154i | 0.260782 | + | 1.64651i | 0.676080 | + | 0.736829i | ||
−0.415297 | + | 0.909686i | ||||||||
0 | 0 | |||||||||
2.25935 | − | 1.64152i | 0.361786 | − | 0.262853i | |||||
0 | 0 | |||||||||
−8.52488 | − | 6.19369i | −1.33136 | − | 0.967292i | −0.999715 | − | 0.0238886i | ||
−0.331648 | − | 0.943403i | ||||||||
0 | 0 | |||||||||
−6.17421 | − | 6.17421i | −0.941558 | − | 0.941558i | 0.0568258 | − | 0.998384i | ||
−0.998384 | + | 0.0568258i | ||||||||
0 | 0 | |||||||||
−7.11267 | + | 9.78975i | −1.06029 | + | 1.45937i | |||||
0 | 0 | |||||||||
−0.494291 | − | 0.970102i | −0.0720998 | − | 0.141504i | 0.852143 | − | 0.523309i | ||
−0.924243 | + | 0.381805i | ||||||||
0 | 0 | |||||||||
1.70228i | 0.243183i | |||||||||
0 | 0 | |||||||||
15.9065i | 2.22736i | |||||||||
0 | 0 | |||||||||
−4.26445 | − | 8.36946i | −0.585768 | − | 1.14963i | −0.973676 | − | 0.227936i | ||
0.387909 | − | 0.921698i | ||||||||
0 | 0 | |||||||||
−2.51467 | − | 3.46115i | −0.339079 | − | 0.466702i | |||||
0 | 0 | |||||||||
12.4602 | + | 12.4602i | 1.65039 | + | 1.65039i | |||||
0 | 0 | |||||||||
−7.85962 | − | 5.71035i | −1.02323 | − | 0.743424i | −0.0562914 | − | 0.998414i | ||
−0.966944 | + | 0.254991i | ||||||||
0 | 0 | |||||||||
−0.975062 | + | 0.708424i | −0.124844 | + | 0.0907044i | −0.648455 | − | 0.761253i | ||
0.523611 | + | 0.851957i | ||||||||
0 | 0 | |||||||||
1.94852 | + | 12.3025i | 0.245491 | + | 1.54997i | |||||
0 | 0 | |||||||||
2.12663 | − | 0.336825i | 0.263776 | − | 0.0417780i | |||||
0 | 0 | |||||||||
5.77838 | + | 2.94423i | 0.705942 | + | 0.359695i | 0.769819 | − | 0.638263i | ||
−0.0638771 | + | 0.997958i | ||||||||
0 | 0 | |||||||||
7.13188 | − | 2.31729i | 0.858578 | − | 0.278969i | |||||
0 | 0 | |||||||||
−8.83270 | − | 2.86992i | −1.04825 | − | 0.340597i | −0.266268 | − | 0.963899i | ||
−0.781981 | + | 0.623303i | ||||||||
0 | 0 | |||||||||
−0.212028 | + | 1.33869i | −0.0248160 | + | 0.156682i | −0.996985 | − | 0.0776007i | ||
0.972169 | + | 0.234282i | ||||||||
0 | 0 | |||||||||
−12.9209 | + | 6.58350i | −1.49197 | + | 0.760198i | |||||
0 | 0 | |||||||||
−4.34953 | − | 0.688898i | −0.495675 | − | 0.0785072i | |||||
0 | 0 | |||||||||
−2.28496 | + | 7.03239i | −0.257078 | + | 0.791206i | 0.736335 | + | 0.676617i | ||
−0.993413 | + | 0.114588i | ||||||||
0 | 0 | |||||||||
−1.25180 | − | 3.85265i | −0.139089 | − | 0.428072i | |||||
0 | 0 | |||||||||
6.97154 | − | 13.6824i | 0.765225 | − | 1.50184i | −0.0969830 | − | 0.995286i | ||
0.862209 | − | 0.506554i | ||||||||
0 | 0 | |||||||||
−5.56758 | + | 10.9270i | −0.603889 | + | 1.18520i | |||||
0 | 0 | |||||||||
−7.98369 | + | 1.26449i | −0.855941 | + | 0.135568i | |||||
0 | 0 | |||||||||
−1.95788 | − | 2.69479i | −0.207534 | − | 0.285647i | 0.692543 | − | 0.721377i | ||
−0.900077 | + | 0.435730i | ||||||||
0 | 0 | |||||||||
1.30272 | − | 1.79303i | 0.136562 | − | 0.187961i | |||||
0 | 0 | |||||||||
−21.2757 | + | 21.2757i | −2.20619 | + | 2.20619i | |||||
0 | 0 | |||||||||
4.19824 | + | 12.9209i | 0.430730 | + | 1.32565i | |||||
0 | 0 | |||||||||
2.23955 | − | 1.14111i | 0.227392 | − | 0.115862i | −0.336583 | − | 0.941654i | ||
0.563975 | + | 0.825792i | ||||||||
0 | 0 | |||||||||
10.3540 | 1.04061 | |||||||||
0 | 0 | |||||||||
2.89806 | 0.288367 | 0.144184 | − | 0.989551i | ||||||
0.144184 | + | 0.989551i | ||||||||
0 | 0 | |||||||||
−7.80741 | + | 3.97807i | −0.769287 | + | 0.391971i | −0.794152 | − | 0.607720i | ||
0.0248649 | + | 0.999691i | ||||||||
0 | 0 | |||||||||
−4.61267 | + | 14.1963i | −0.450150 | + | 1.38542i | |||||
0 | 0 | |||||||||
11.2441 | − | 11.2441i | 1.08701 | − | 1.08701i | 0.0911721 | − | 0.995835i | ||
0.995835 | − | 0.0911721i | ||||||||
0 | 0 | |||||||||
5.03556 | − | 6.93085i | 0.482319 | − | 0.663855i | −0.496629 | − | 0.867963i | ||
0.978949 | + | 0.204107i | ||||||||
0 | 0 | |||||||||
−17.2864 | − | 23.7927i | −1.64076 | − | 2.25831i | |||||
0 | 0 | |||||||||
−5.16807 | + | 0.818542i | −0.486171 | + | 0.0770020i | −0.394708 | − | 0.918806i | ||
−0.0914631 | + | 0.995808i | ||||||||
0 | 0 | |||||||||
5.71035 | + | 0.904430i | 0.532493 | + | 0.0843385i | |||||
0 | 0 | |||||||||
−2.36571 | + | 4.64297i | −0.218710 | + | 0.429243i | |||||
0 | 0 | |||||||||
3.90087 | + | 12.0056i | 0.357592 | + | 1.10056i | |||||
0 | 0 | |||||||||
2.26799 | − | 6.98015i | 0.206181 | − | 0.634559i | |||||
0 | 0 | |||||||||
30.1850 | + | 4.78083i | 2.72169 | + | 0.431073i | |||||
0 | 0 | |||||||||
−11.1803 | −1.00000 | |||||||||
0 | 0 | |||||||||
2.77391 | − | 17.5138i | 0.246145 | − | 1.55410i | −0.486619 | − | 0.873614i | ||
0.732764 | − | 0.680483i | ||||||||
0 | 0 | |||||||||
24.0848 | + | 7.82563i | 2.12055 | + | 0.689008i | |||||
0 | 0 | |||||||||
14.5010 | − | 4.71166i | 1.26696 | − | 0.411660i | 0.402989 | − | 0.915205i | ||
0.863969 | + | 0.503545i | ||||||||
0 | 0 | |||||||||
12.4602 | + | 6.34879i | 1.08044 | + | 0.550510i | |||||
0 | 0 | |||||||||
2.44664 | − | 15.4475i | 0.210573 | − | 1.32951i | |||||
0 | 0 | |||||||||
0.153395 | + | 0.968498i | 0.0131054 | + | 0.0827443i | 0.993374 | − | 0.114925i | ||
−0.980269 | + | 0.197669i | ||||||||
0 | 0 | |||||||||
−3.91731 | + | 2.84609i | −0.332262 | + | 0.241403i | −0.741390 | − | 0.671075i | ||
0.409128 | + | 0.912477i | ||||||||
0 | 0 | |||||||||
2.55467 | + | 1.85607i | 0.215142 | + | 0.156310i | |||||
0 | 0 | |||||||||
−1.30272 | − | 1.30272i | −0.108939 | − | 0.108939i | |||||
0 | 0 | |||||||||
−5.92699 | − | 1.92580i | −0.492210 | − | 0.159929i | |||||
0 | 0 | |||||||||
−2.24140 | − | 4.39899i | −0.184867 | − | 0.362822i | |||||
0 | 0 | |||||||||
− | 9.16129i | − | 0.750522i | −0.926919 | − | 0.375261i | ||||
0.926919 | − | 0.375261i | ||||||||
0 | 0 | |||||||||
15.6035i | 1.26979i | 0.772597 | + | 0.634897i | ||||||
−0.772597 | + | 0.634897i | ||||||||
0 | 0 | |||||||||
−13.4744 | − | 26.4451i | −1.08934 | − | 2.13796i | |||||
0 | 0 | |||||||||
−22.0622 | + | 7.16846i | −1.77208 | + | 0.575784i | |||||
0 | 0 | |||||||||
−5.05644 | − | 5.05644i | −0.403548 | − | 0.403548i | 0.475933 | − | 0.879481i | ||
−0.879481 | + | 0.475933i | ||||||||
0 | 0 | |||||||||
22.0401 | + | 16.0131i | 1.74790 | + | 1.26992i | |||||
0 | 0 | |||||||||
4.81459 | − | 3.49801i | 0.379443 | − | 0.275682i | |||||
0 | 0 | |||||||||
0.542005 | + | 3.42208i | 0.0424531 | + | 0.268038i | 0.999780 | − | 0.0209686i | ||
−0.957327 | + | 0.289007i | ||||||||
0 | 0 | |||||||||
11.0557 | + | 5.63314i | 0.860681 | + | 0.438539i | |||||
0 | 0 | |||||||||
−12.2007 | − | 6.21658i | −0.944121 | − | 0.481054i | −0.0870224 | − | 0.996206i | ||
−0.857098 | + | 0.515153i | ||||||||
0 | 0 | |||||||||
−11.4819 | + | 3.73070i | −0.883224 | + | 0.286977i | |||||
0 | 0 | |||||||||
−31.2705 | − | 10.1604i | −2.39132 | − | 0.776986i | |||||
0 | 0 | |||||||||
−0.0270578 | + | 0.170836i | −0.00205716 | + | 0.0129884i | −0.988696 | − | 0.149937i | ||
0.986638 | + | 0.162925i | ||||||||
0 | 0 | |||||||||
−8.13766 | + | 8.13766i | −0.615149 | + | 0.615149i | |||||
0 | 0 | |||||||||
27.8294 | + | 4.40775i | 2.09179 | + | 0.331306i | |||||
0 | 0 | |||||||||
−3.01577 | + | 9.28158i | −0.225409 | + | 0.693738i | 0.772841 | + | 0.634600i | ||
−0.998250 | + | 0.0591379i | ||||||||
0 | 0 | |||||||||
−5.57180 | − | 17.1482i | −0.414148 | − | 1.27462i | −0.913010 | − | 0.407936i | ||
0.498862 | − | 0.866681i | ||||||||
0 | 0 | |||||||||
1.58694 | − | 3.11455i | 0.117310 | − | 0.230234i | |||||
0 | 0 | |||||||||
−3.54702 | − | 22.3950i | −0.260782 | − | 1.64651i | |||||
0 | 0 | |||||||||
10.3641 | − | 1.64152i | 0.757900 | − | 0.120040i | |||||
0 | 0 | |||||||||
−9.46271 | − | 13.0243i | −0.688311 | − | 0.947379i | |||||
0 | 0 | |||||||||
3.50986 | − | 4.83091i | 0.253965 | − | 0.349552i | −0.662930 | − | 0.748681i | ||
0.916895 | + | 0.399129i | ||||||||
0 | 0 | |||||||||
5.93294 | − | 5.93294i | 0.427062 | − | 0.427062i | −0.460564 | − | 0.887626i | ||
0.887626 | + | 0.460564i | ||||||||
0 | 0 | |||||||||
−5.05207 | + | 3.67054i | −0.361786 | + | 0.262853i | |||||
0 | 0 | |||||||||
9.22957 | − | 4.70270i | 0.657580 | − | 0.335054i | −0.0931606 | − | 0.995651i | ||
0.750740 | + | 0.660598i | ||||||||
0 | 0 | |||||||||
−12.1515 | −0.861397 | −0.430698 | − | 0.902496i | ||||||
−0.430698 | + | 0.902496i | ||||||||
0 | 0 | |||||||||
−18.8090 | −1.32668 | |||||||||
0 | 0 | |||||||||
−5.71569 | + | 2.91229i | −0.401163 | + | 0.204403i | |||||
0 | 0 | |||||||||
19.0622 | + | 13.8495i | 1.33136 | + | 0.967292i | |||||
0 | 0 | |||||||||
−9.89399 | + | 9.89399i | −0.687680 | + | 0.687680i | |||||
0 | 0 | |||||||||
6.83277 | − | 9.40450i | 0.472632 | − | 0.650523i | |||||
0 | 0 | |||||||||
0.265481 | + | 0.365404i | 0.0182765 | + | 0.0251554i | 0.818057 | − | 0.575137i | ||
−0.799781 | + | 0.600292i | ||||||||
0 | 0 | |||||||||
26.6040 | − | 4.21366i | 1.82288 | − | 0.288715i | |||||
0 | 0 | |||||||||
13.8060 | + | 13.8060i | 0.941558 | + | 0.941558i | |||||
0 | 0 | |||||||||
−10.8405 | + | 21.2757i | −0.735902 | + | 1.44429i | |||||
0 | 0 | |||||||||
−1.21474 | − | 3.73858i | −0.0820844 | − | 0.252630i | |||||
0 | 0 | |||||||||
−1.63194 | + | 5.02259i | −0.109776 | + | 0.337856i | |||||
0 | 0 | |||||||||
8.45289 | + | 1.33881i | 0.566048 | + | 0.0896531i | 0.432898 | − | 0.901443i | ||
0.133149 | + | 0.991096i | ||||||||
0 | 0 | |||||||||
15.9044 | − | 21.8905i | 1.06029 | − | 1.45937i | |||||
0 | 0 | |||||||||
−0.623179 | + | 3.93460i | −0.0413619 | + | 0.261149i | −0.999700 | − | 0.0244872i | ||
0.958338 | + | 0.285636i | ||||||||
0 | 0 | |||||||||
−6.21003 | − | 2.01776i | −0.410371 | − | 0.133337i | 0.0965543 | − | 0.995328i | ||
−0.506925 | + | 0.861990i | ||||||||
0 | 0 | |||||||||
12.1470 | − | 3.94680i | 0.799214 | − | 0.259680i | |||||
0 | 0 | |||||||||
−12.7395 | − | 6.49110i | −0.834592 | − | 0.425246i | −0.0161739 | − | 0.999869i | ||
−0.818418 | + | 0.574623i | ||||||||
0 | 0 | |||||||||
1.10527 | + | 2.16921i | 0.0720998 | + | 0.141504i | |||||
0 | 0 | |||||||||
−3.35482 | − | 21.1815i | −0.217919 | − | 1.37589i | |||||
0 | 0 | |||||||||
−6.67715 | + | 4.85123i | −0.431909 | + | 0.313800i | −0.782412 | − | 0.622762i | ||
0.350503 | + | 0.936562i | ||||||||
0 | 0 | |||||||||
6.93466 | + | 5.03832i | 0.446700 | + | 0.324547i | 0.788292 | − | 0.615302i | ||
−0.341591 | + | 0.939849i | ||||||||
0 | 0 | |||||||||
−6.52978 | − | 6.52978i | −0.418885 | − | 0.418885i | |||||
0 | 0 | |||||||||
− | 3.80642i | − | 0.243183i | |||||||
0 | 0 | |||||||||
2.65603 | + | 5.21275i | 0.168999 | + | 0.331680i | |||||
0 | 0 | |||||||||
44.5371i | 2.82242i | |||||||||
0 | 0 | |||||||||
17.5281i | 1.10636i | 0.833061 | + | 0.553182i | ||||||
−0.833061 | + | 0.553182i | ||||||||
0 | 0 | |||||||||
−2.24586 | − | 4.40775i | −0.141196 | − | 0.277113i | |||||
0 | 0 | |||||||||
− | 35.5681i | − | 2.22736i | |||||||
0 | 0 | |||||||||
−12.1447 | − | 12.1447i | −0.757568 | − | 0.757568i | 0.218311 | − | 0.975879i | ||
−0.975879 | + | 0.218311i | ||||||||
0 | 0 | |||||||||
−18.8820 | − | 13.7186i | −1.17327 | − | 0.852432i | |||||
0 | 0 | |||||||||
12.2020 | − | 8.86524i | 0.755282 | − | 0.548745i | |||||
0 | 0 | |||||||||
−0.382691 | − | 2.41621i | −0.0235977 | − | 0.148990i | 0.973076 | − | 0.230484i | ||
−0.996674 | + | 0.0814938i | ||||||||
0 | 0 | |||||||||
9.53560 | + | 18.7147i | 0.585768 | + | 1.14963i | |||||
0 | 0 | |||||||||
8.60771 | + | 4.38585i | 0.526783 | + | 0.268410i | |||||
0 | 0 | |||||||||
−7.51890 | + | 2.44304i | −0.458436 | + | 0.148955i | −0.529126 | − | 0.848544i | ||
0.0706899 | + | 0.997498i | ||||||||
0 | 0 | |||||||||
10.8617 | + | 3.52919i | 0.659803 | + | 0.214383i | 0.619731 | − | 0.784814i | ||
0.0400712 | + | 0.999197i | ||||||||
0 | 0 | |||||||||
−1.00555 | + | 6.34879i | −0.0608586 | + | 0.384246i | |||||
0 | 0 | |||||||||
5.62298 | + | 7.73937i | 0.339079 | + | 0.466702i | |||||
0 | 0 | |||||||||
−5.09695 | − | 0.807278i | −0.306246 | − | 0.0485047i | 0.00141993 | − | 0.999999i | ||
−0.307666 | + | 0.951494i | ||||||||
0 | 0 | |||||||||
17.3488 | − | 53.3941i | 1.03865 | − | 3.19662i | |||||
0 | 0 | |||||||||
0.292927 | + | 0.901537i | 0.0174746 | + | 0.0537812i | 0.959414 | − | 0.282003i | ||
−0.941939 | + | 0.335784i | ||||||||
0 | 0 | |||||||||
2.13911 | − | 4.19824i | 0.127157 | − | 0.249559i | −0.818648 | − | 0.574296i | ||
0.945804 | + | 0.324737i | ||||||||
0 | 0 | |||||||||
−27.8619 | − | 27.8619i | −1.65039 | − | 1.65039i | |||||
0 | 0 | |||||||||
23.9549 | − | 3.79409i | 1.41402 | − | 0.223958i | |||||
0 | 0 | |||||||||
−7.68790 | − | 10.5815i | −0.452229 | − | 0.622440i | |||||
0 | 0 | |||||||||
−4.28488 | + | 5.89763i | −0.251184 | + | 0.345725i | |||||
0 | 0 | |||||||||
−17.4021 | + | 17.4021i | −1.01664 | + | 1.01664i | −0.0167798 | + | 0.999859i | ||
−0.999859 | + | 0.0167798i | ||||||||
0 | 0 | |||||||||
17.5746 | + | 12.7687i | 1.02323 | + | 0.743424i | |||||
0 | 0 | |||||||||
−11.9237 | + | 6.07543i | −0.691884 | + | 0.352532i | |||||
0 | 0 | |||||||||
2.48968 | 0.143982 | |||||||||
0 | 0 | |||||||||
20.0974 | 1.15840 | |||||||||
0 | 0 | |||||||||
−7.48907 | + | 3.81587i | −0.430236 | + | 0.219216i | |||||
0 | 0 | |||||||||
2.18031 | − | 1.58408i | 0.124844 | − | 0.0907044i | |||||
0 | 0 | |||||||||
−9.15421 | + | 9.15421i | −0.522458 | + | 0.522458i | −0.918313 | − | 0.395855i | ||
0.395855 | + | 0.918313i | ||||||||
0 | 0 | |||||||||
14.9377 | − | 20.5600i | 0.849778 | − | 1.16962i | |||||
0 | 0 | |||||||||
14.5504 | + | 20.0269i | 0.825079 | + | 1.13562i | 0.988819 | + | 0.149120i | ||
−0.163740 | + | 0.986504i | ||||||||
0 | 0 | |||||||||
24.1995 | − | 3.83282i | 1.36784 | − | 0.216644i | 0.571055 | − | 0.820912i | ||
0.796781 | + | 0.604268i | ||||||||
0 | 0 | |||||||||
−4.35703 | − | 27.5092i | −0.245491 | − | 1.54997i | |||||
0 | 0 | |||||||||
5.10607 | − | 10.0212i | 0.286785 | − | 0.562848i | −0.702003 | − | 0.712174i | ||
0.988788 | + | 0.149326i | ||||||||
0 | 0 | |||||||||
1.64780 | + | 5.07140i | 0.0922589 | + | 0.283944i | |||||
0 | 0 | |||||||||
−14.2515 | + | 43.8618i | −0.795444 | + | 2.44812i | |||||
0 | 0 | |||||||||
−32.9120 | − | 5.21275i | −1.83127 | − | 0.290045i | |||||
0 | 0 | |||||||||
−4.75528 | + | 0.753163i | −0.263776 | + | 0.0417780i | |||||
0 | 0 | |||||||||
−3.88689 | + | 24.5408i | −0.214945 | + | 1.35711i | |||||
0 | 0 | |||||||||
2.38335 | + | 0.774396i | 0.131398 | + | 0.0426938i | |||||
0 | 0 | |||||||||
20.0332 | − | 6.50919i | 1.10113 | − | 0.357777i | 0.298590 | − | 0.954382i | ||
0.802536 | + | 0.596604i | ||||||||
0 | 0 | |||||||||
48.8941 | + | 24.9128i | 2.67938 | + | 1.36521i | |||||
0 | 0 | |||||||||
−12.9209 | − | 6.58350i | −0.705942 | − | 0.359695i | |||||
0 | 0 | |||||||||
−0.744661 | − | 4.70160i | −0.0405643 | − | 0.256113i | 0.959070 | − | 0.283170i | ||
−0.999634 | + | 0.0270577i | ||||||||
0 | 0 | |||||||||
12.2774 | − | 8.92006i | 0.666817 | − | 0.484471i | |||||
0 | 0 | |||||||||
16.0581 | + | 11.6669i | 0.869595 | + | 0.631798i | |||||
0 | 0 | |||||||||
−14.1632 | − | 14.1632i | −0.764743 | − | 0.764743i | |||||
0 | 0 | |||||||||
−15.9474 | + | 5.18162i | −0.858578 | + | 0.278969i | |||||
0 | 0 | |||||||||
2.39689 | + | 4.70415i | 0.128672 | + | 0.252532i | 0.946350 | − | 0.323143i | ||
−0.817679 | + | 0.575675i | ||||||||
0 | 0 | |||||||||
1.87772i | 0.100512i | 0.998736 | + | 0.0502560i | ||||||
−0.998736 | + | 0.0502560i | ||||||||
0 | 0 | |||||||||
− | 6.73502i | − | 0.359489i | |||||||
0 | 0 | |||||||||
−2.87675 | − | 5.64593i | −0.153114 | − | 0.300503i | 0.801690 | − | 0.597740i | ||
−0.954804 | + | 0.297238i | ||||||||
0 | 0 | |||||||||
19.7505 | + | 6.41733i | 1.04825 | + | 0.340597i | |||||
0 | 0 | |||||||||
−25.8884 | − | 25.8884i | −1.37016 | − | 1.37016i | |||||
0 | 0 | |||||||||
−9.96018 | − | 7.23649i | −0.525678 | − | 0.381928i | 0.293060 | − | 0.956094i | ||
−0.818739 | + | 0.574166i | ||||||||
0 | 0 | |||||||||
−14.4933 | + | 10.5300i | −0.762806 | + | 0.554211i | |||||
0 | 0 | |||||||||
3.32990 | + | 21.0242i | 0.174774 | + | 1.10348i | |||||
0 | 0 | |||||||||
0.474108 | − | 2.99340i | 0.0248160 | − | 0.156682i | |||||
0 | 0 | |||||||||
−8.31332 | − | 4.23585i | −0.433952 | − | 0.221109i | 0.223348 | − | 0.974739i | ||
−0.657300 | + | 0.753629i | ||||||||
0 | 0 | |||||||||
−54.2333 | + | 17.6215i | −2.82327 | + | 0.917336i | |||||
0 | 0 | |||||||||
20.5621 | + | 6.68103i | 1.06753 | + | 0.346862i | |||||
0 | 0 | |||||||||
−0.744661 | + | 4.70160i | −0.0385571 | + | 0.243440i | −0.999438 | − | 0.0335221i | ||
0.960881 | + | 0.276962i | ||||||||
0 | 0 | |||||||||
28.8919 | − | 14.7212i | 1.49197 | − | 0.760198i | |||||
0 | 0 | |||||||||
−2.65063 | − | 0.419819i | −0.136515 | − | 0.0216218i | |||||
0 | 0 | |||||||||
−8.61253 | + | 26.5066i | −0.442396 | + | 1.36155i | 0.442918 | + | 0.896562i | ||
−0.885314 | + | 0.464993i | ||||||||
0 | 0 | |||||||||
15.8922 | + | 48.9110i | 0.814180 | + | 2.50579i | |||||
0 | 0 | |||||||||
−5.76109 | + | 11.3068i | −0.294378 | + | 0.577750i | −0.990067 | − | 0.140593i | ||
0.695689 | + | 0.718343i | ||||||||
0 | 0 | |||||||||
9.72585 | + | 1.54042i | 0.495675 | + | 0.0785072i | |||||
0 | 0 | |||||||||
−46.6708 | + | 7.39193i | −2.37241 | + | 0.375753i | |||||
0 | 0 | |||||||||
3.10772 | + | 4.27741i | 0.157568 | + | 0.216873i | 0.880501 | − | 0.474045i | ||
−0.722933 | + | 0.690918i | ||||||||
0 | 0 | |||||||||
−8.33510 | + | 11.4723i | −0.421524 | + | 0.580178i | |||||
0 | 0 | |||||||||
−31.2692 | + | 31.2692i | −1.57732 | + | 1.57732i | |||||
0 | 0 | |||||||||
5.10933 | − | 15.7249i | 0.257078 | − | 0.791206i | |||||
0 | 0 | |||||||||
−24.5503 | + | 12.5090i | −1.23214 | + | 0.627808i | −0.944053 | − | 0.329795i | ||
−0.288091 | + | 0.957603i | ||||||||
0 | 0 | |||||||||
−40.5588 | −2.03048 | |||||||||
0 | 0 | |||||||||
−32.1362 | −1.60481 | −0.802403 | − | 0.596783i | ||||||
−0.802403 | + | 0.596783i | ||||||||
0 | 0 | |||||||||
−8.90073 | + | 4.53515i | −0.443377 | + | 0.225912i | |||||
0 | 0 | |||||||||
2.79911 | + | 8.61479i | 0.139089 | + | 0.428072i | |||||
0 | 0 | |||||||||
−13.7186 | + | 13.7186i | −0.680005 | + | 0.680005i | |||||
0 | 0 | |||||||||
−17.8888 | + | 24.6219i | −0.884546 | + | 1.21747i | 0.0905950 | + | 0.995888i | ||
−0.975141 | + | 0.221585i | ||||||||
0 | 0 | |||||||||
−1.67162 | − | 2.30079i | −0.0824549 | − | 0.113489i | |||||
0 | 0 | |||||||||
22.0855 | − | 3.49801i | 1.08676 | − | 0.172126i | |||||
0 | 0 | |||||||||
−15.5888 | + | 30.5948i | −0.765225 | + | 1.50184i | |||||
0 | 0 | |||||||||
6.37555 | − | 12.5127i | 0.312212 | − | 0.612751i | |||||
0 | 0 | |||||||||
−5.60088 | − | 17.2377i | −0.273621 | − | 0.842118i | −0.989581 | − | 0.143977i | ||
0.715960 | − | 0.698141i | ||||||||
0 | 0 | |||||||||
8.04143 | − | 24.7490i | 0.391915 | − | 1.20619i | −0.539423 | − | 0.842035i | ||
0.931338 | − | 0.364156i | ||||||||
0 | 0 | |||||||||
−5.81949 | − | 0.921717i | −0.282953 | − | 0.0448154i | |||||
0 | 0 | |||||||||
12.4495 | − | 24.4335i | 0.603889 | − | 1.18520i | |||||
0 | 0 | |||||||||
0.433962 | − | 2.73993i | 0.0210009 | − | 0.132594i | |||||
0 | 0 | |||||||||
5.08172 | + | 1.65115i | 0.245348 | + | 0.0797184i | |||||
0 | 0 | |||||||||
−25.3453 | + | 8.23518i | −1.22084 | + | 0.396675i | −0.847388 | − | 0.530975i | ||
−0.373452 | + | 0.927650i | ||||||||
0 | 0 | |||||||||
27.7248 | + | 14.1265i | 1.33237 | + | 0.678876i | 0.967663 | − | 0.252246i | ||
0.364706 | + | 0.931123i | ||||||||
0 | 0 | |||||||||
17.8521 | − | 2.82749i | 0.855941 | − | 0.135568i | |||||
0 | 0 | |||||||||
2.45748 | + | 15.5159i | 0.117557 | + | 0.742227i | |||||
0 | 0 | |||||||||
7.74387 | − | 5.62625i | 0.369595 | − | 0.268526i | −0.387448 | − | 0.921891i | ||
0.757043 | + | 0.653365i | ||||||||
0 | 0 | |||||||||
7.45277 | + | 5.41476i | 0.354894 | + | 0.257846i | |||||
0 | 0 | |||||||||
9.95720 | + | 9.95720i | 0.473081 | + | 0.473081i | 0.902910 | − | 0.429829i | ||
−0.429829 | + | 0.902910i | ||||||||
0 | 0 | |||||||||
4.37794 | + | 6.02572i | 0.207534 | + | 0.285647i | |||||
0 | 0 | |||||||||
12.0627 | + | 23.6743i | 0.570545 | + | 1.11976i | |||||
0 | 0 | |||||||||
24.2916i | 1.14639i | 0.819419 | + | 0.573195i | ||||||
−0.819419 | + | 0.573195i | ||||||||
0 | 0 | |||||||||
− | 20.1608i | − | 0.949337i | |||||||
0 | 0 | |||||||||
−20.5451 | − | 40.3221i | −0.965294 | − | 1.89450i | |||||
0 | 0 | |||||||||
−2.91296 | + | 4.00935i | −0.136562 | + | 0.187961i | |||||
0 | 0 | |||||||||
19.1711 | + | 19.1711i | 0.896786 | + | 0.896786i | 0.995150 | − | 0.0983649i | ||
−0.0983649 | + | 0.995150i | ||||||||
0 | 0 | |||||||||
31.0345 | + | 22.5479i | 1.44857 | + | 1.05245i | |||||
0 | 0 | |||||||||
−11.1879 | + | 8.12849i | −0.521073 | + | 0.378582i | −0.817008 | − | 0.576626i | ||
0.295935 | + | 0.955208i | ||||||||
0 | 0 | |||||||||
−4.57144 | − | 28.8629i | −0.212453 | − | 1.34137i | −0.831283 | − | 0.555850i | ||
0.618830 | − | 0.785525i | ||||||||
0 | 0 | |||||||||
47.5739 | − | 47.5739i | 2.20619 | − | 2.20619i | |||||
0 | 0 | |||||||||
−1.17085 | − | 0.596577i | −0.0541804 | − | 0.0276063i | 0.426690 | − | 0.904398i | ||
−0.480871 | + | 0.876791i | ||||||||
0 | 0 | |||||||||
−14.1963 | + | 4.61267i | −0.655526 | + | 0.212993i | |||||
0 | 0 | |||||||||
19.7245 | + | 6.40889i | 0.908858 | + | 0.295306i | |||||
0 | 0 | |||||||||
2.61341 | − | 16.5004i | 0.120165 | − | 0.758689i | |||||
0 | 0 | |||||||||
−9.38755 | − | 28.8919i | −0.430730 | − | 1.32565i | |||||
0 | 0 | |||||||||
−50.2071 | − | 7.95202i | −2.29883 | − | 0.364098i | |||||
0 | 0 | |||||||||
1.74144 | − | 5.35960i | 0.0795684 | − | 0.244886i | −0.903357 | − | 0.428888i | ||
0.982926 | + | 0.184002i | ||||||||
0 | 0 | |||||||||
−3.01728 | − | 9.28622i | −0.137576 | − | 0.423415i | |||||
0 | 0 | |||||||||
−7.83590 | + | 15.3788i | −0.356546 | + | 0.699761i | |||||
0 | 0 | |||||||||
−5.00778 | + | 2.55159i | −0.227392 | + | 0.115862i | |||||
0 | 0 | |||||||||
21.6062 | − | 3.42208i | 0.979070 | − | 0.155069i | 0.353667 | − | 0.935371i | ||
0.625403 | + | 0.780302i | ||||||||
0 | 0 | |||||||||
−5.90649 | − | 8.12959i | −0.267101 | − | 0.367633i | |||||
0 | 0 | |||||||||
24.4969 | − | 33.7171i | 1.10553 | − | 1.52163i | 0.277691 | − | 0.960671i | ||
0.827841 | − | 0.560963i | ||||||||
0 | 0 | |||||||||
10.8084 | − | 10.8084i | 0.486788 | − | 0.486788i | |||||
0 | 0 | |||||||||
−23.1522 | −1.04061 | |||||||||
0 | 0 | |||||||||
19.0464 | − | 9.70461i | 0.854347 | − | 0.435311i | |||||
0 | 0 | |||||||||
31.4385 | 1.40738 | 0.703690 | − | 0.710508i | ||||||
0.703690 | + | 0.710508i | ||||||||
0 | 0 | |||||||||
39.7141 | 1.77430 | |||||||||
0 | 0 | |||||||||
25.4190 | − | 12.9516i | 1.13338 | − | 0.577483i | 0.216351 | − | 0.976316i | ||
0.917024 | + | 0.398832i | ||||||||
0 | 0 | |||||||||
−6.48025 | −0.288367 | |||||||||
0 | 0 | |||||||||
24.7590 | − | 24.7590i | 1.09959 | − | 1.09959i | |||||
0 | 0 | |||||||||
−11.3987 | + | 15.6889i | −0.505237 | + | 0.695400i | −0.983107 | − | 0.183031i | ||
0.477870 | + | 0.878431i | ||||||||
0 | 0 | |||||||||
−1.83368 | − | 2.52384i | −0.0811171 | − | 0.111648i | |||||
0 | 0 | |||||||||
41.9732 | − | 6.64791i | 1.85316 | − | 0.293512i | |||||
0 | 0 | |||||||||
17.4579 | − | 8.89524i | 0.769287 | − | 0.391971i | |||||
0 | 0 | |||||||||
0.945717 | − | 1.85607i | 0.0415926 | − | 0.0816300i | |||||
0 | 0 | |||||||||
−0.155018 | − | 0.477096i | −0.00680453 | − | 0.0209422i | |||||
0 | 0 | |||||||||
−3.07842 | + | 9.47439i | −0.134868 | + | 0.415081i | −0.995569 | − | 0.0940291i | ||
0.860702 | + | 0.509110i | ||||||||
0 | 0 | |||||||||
−6.66792 | − | 1.05610i | −0.291568 | − | 0.0461798i | 0.00893708 | − | 0.999960i | ||
−0.300505 | + | 0.953780i | ||||||||
0 | 0 | |||||||||
10.3142 | − | 31.7440i | 0.450150 | − | 1.38542i | |||||
0 | 0 | |||||||||
8.90073 | − | 56.1970i | 0.387722 | − | 2.44798i | |||||
0 | 0 | |||||||||
−15.5163 | − | 5.04155i | −0.674621 | − | 0.219198i | |||||
0 | 0 | |||||||||
−50.0010 | + | 16.2463i | −2.16986 | + | 0.705030i | |||||
0 | 0 | |||||||||
9.04062 | + | 4.60642i | 0.391593 | + | 0.199526i | |||||
0 | 0 | |||||||||
−25.1426 | + | 25.1426i | −1.08701 | + | 1.08701i | |||||
0 | 0 | |||||||||
−4.42780 | − | 27.9561i | −0.191074 | − | 1.20639i | |||||
0 | 0 | |||||||||
−2.63492 | + | 1.91438i | −0.113494 | + | 0.0824582i | |||||
0 | 0 | |||||||||
−35.9536 | − | 26.1218i | −1.54577 | − | 1.12306i | −0.946587 | − | 0.322449i | ||
−0.599179 | − | 0.800615i | ||||||||
0 | 0 | |||||||||
36.9776 | + | 36.9776i | 1.58686 | + | 1.58686i | |||||
0 | 0 | |||||||||
−11.2599 | + | 15.4979i | −0.482319 | + | 0.663855i | |||||
0 | 0 | |||||||||
−13.3756 | − | 26.2510i | −0.571897 | − | 1.12241i | −0.978004 | − | 0.208586i | ||
0.406107 | − | 0.913826i | ||||||||
0 | 0 | |||||||||
6.52234i | 0.278367i | |||||||||
0 | 0 | |||||||||
− | 16.9334i | − | 0.721385i | |||||||
0 | 0 | |||||||||
−7.72659 | − | 15.1643i | −0.328568 | − | 0.644851i | |||||
0 | 0 | |||||||||
38.6536 | + | 53.2022i | 1.64076 | + | 2.25831i | |||||
0 | 0 | |||||||||
8.25814 | + | 8.25814i | 0.349908 | + | 0.349908i | 0.860075 | − | 0.510167i | ||
−0.510167 | + | 0.860075i | ||||||||
0 | 0 | |||||||||
6.80206 | + | 4.94199i | 0.287697 | + | 0.209024i | |||||
0 | 0 | |||||||||
−24.6213 | + | 17.8884i | −1.03951 | + | 0.755250i | |||||
0 | 0 | |||||||||
−2.84609 | − | 17.9695i | −0.119949 | − | 0.757325i | −0.972193 | − | 0.234181i | ||
0.852244 | − | 0.523144i | ||||||||
0 | 0 | |||||||||
11.5562 | − | 1.83032i | 0.486171 | − | 0.0770020i | |||||
0 | 0 | |||||||||
8.30766 | + | 4.23296i | 0.348889 | + | 0.177768i | |||||
0 | 0 | |||||||||
22.1612 | − | 7.20061i | 0.929046 | − | 0.301865i | 0.194873 | − | 0.980828i | ||
0.734172 | + | 0.678963i | ||||||||
0 | 0 | |||||||||
−4.48095 | − | 1.45595i | −0.187522 | − | 0.0609296i | 0.213751 | − | 0.976888i | ||
−0.401273 | + | 0.915959i | ||||||||
0 | 0 | |||||||||
−2.70922 | + | 17.1053i | −0.113179 | + | 0.714585i | |||||
0 | 0 | |||||||||
−12.7687 | − | 2.02237i | −0.532493 | − | 0.0843385i | |||||
0 | 0 | |||||||||
−25.3479 | − | 4.01471i | −1.05525 | − | 0.167135i | −0.395380 | − | 0.918517i | ||
−0.659867 | + | 0.751383i | ||||||||
0 | 0 | |||||||||
−7.51982 | + | 23.1436i | −0.312513 | + | 0.961816i | |||||
0 | 0 | |||||||||
10.9222 | + | 33.6149i | 0.453128 | + | 1.39458i | |||||
0 | 0 | |||||||||
8.15908 | − | 16.0131i | 0.337915 | − | 0.663195i | |||||
0 | 0 | |||||||||
5.28989 | − | 10.3820i | 0.218710 | − | 0.429243i | |||||
0 | 0 | |||||||||
−3.46115 | + | 0.548193i | −0.142857 | + | 0.0226263i | −0.227453 | − | 0.973789i | ||
0.0845963 | + | 0.996415i | ||||||||
0 | 0 | |||||||||
−37.0490 | − | 50.9936i | −1.52658 | − | 2.10116i | |||||
0 | 0 | |||||||||
−17.6587 | + | 24.3052i | −0.726383 | + | 0.999781i | |||||
0 | 0 | |||||||||
−9.16670 | + | 9.16670i | −0.376431 | + | 0.376431i | −0.869813 | − | 0.493382i | ||
0.493382 | + | 0.869813i | ||||||||
0 | 0 | |||||||||
−8.72261 | − | 26.8454i | −0.357592 | − | 1.10056i | |||||
0 | 0 | |||||||||
31.4015 | − | 15.9999i | 1.28518 | − | 0.654832i | |||||
0 | 0 | |||||||||
1.02128 | 0.0417284 | 0.0208642 | − | 0.999782i | ||||||
0.0208642 | + | 0.999782i | ||||||||
0 | 0 | |||||||||
24.7175 | 1.00825 | 0.504124 | − | 0.863631i | ||||||
0.504124 | + | 0.863631i | ||||||||
0 | 0 | |||||||||
31.2705 | − | 15.9331i | 1.27343 | − | 0.648847i | |||||
0 | 0 | |||||||||
−5.07138 | + | 15.6081i | −0.206181 | + | 0.634559i | |||||
0 | 0 | |||||||||
15.6989 | − | 15.6989i | 0.637199 | − | 0.637199i | −0.312664 | − | 0.949864i | ||
0.949864 | + | 0.312664i | ||||||||
0 | 0 | |||||||||
10.9357 | − | 15.0517i | 0.443137 | − | 0.609926i | |||||
0 | 0 | |||||||||
0.616228 | + | 0.848165i | 0.0249299 | + | 0.0343131i | |||||
0 | 0 | |||||||||
24.4360 | − | 3.87028i | 0.986961 | − | 0.156319i | 0.357971 | − | 0.933733i | ||
0.628990 | + | 0.777413i | ||||||||
0 | 0 | |||||||||
−67.4957 | − | 10.6903i | −2.72169 | − | 0.431073i | |||||
0 | 0 | |||||||||
20.2483 | − | 39.7395i | 0.815166 | − | 1.59985i | 0.0151422 | − | 0.999885i | ||
0.800024 | − | 0.599968i | ||||||||
0 | 0 | |||||||||
5.01747 | + | 15.4422i | 0.201669 | + | 0.620674i | 0.999834 | + | 0.0182344i | ||
−0.798165 | + | 0.602439i | ||||||||
0 | 0 | |||||||||
5.58846 | − | 17.1995i | 0.224257 | − | 0.690193i | |||||
0 | 0 | |||||||||
7.57235 | + | 1.19934i | 0.303380 | + | 0.0480507i | |||||
0 | 0 | |||||||||
25.0000 | 1.00000 | |||||||||
0 | 0 | |||||||||
−5.27413 | + | 33.2995i | −0.210628 | + | 1.32986i | |||||
0 | 0 | |||||||||
52.8917 | + | 17.1856i | 2.10893 | + | 0.685233i | |||||
0 | 0 | |||||||||
−33.0642 | + | 10.7432i | −1.31626 | + | 0.427680i | −0.881210 | − | 0.472725i | ||
−0.435053 | + | 0.900405i | ||||||||
0 | 0 | |||||||||
−1.16718 | − | 0.594706i | −0.0463911 | − | 0.0236374i | |||||
0 | 0 | |||||||||
−6.20265 | + | 39.1620i | −0.246145 | + | 1.55410i | |||||
0 | 0 | |||||||||
−0.256419 | − | 1.61897i | −0.0101597 | − | 0.0641458i | |||||
0 | 0 | |||||||||
−40.6606 | + | 29.5416i | −1.60851 | + | 1.16865i | |||||
0 | 0 | |||||||||
24.7800 | + | 18.0037i | 0.978751 | + | 0.711104i | 0.957429 | − | 0.288668i | ||
0.0213220 | + | 0.999773i | ||||||||
0 | 0 | |||||||||
14.8959 | + | 14.8959i | 0.587438 | + | 0.587438i | 0.936937 | − | 0.349499i | ||
−0.349499 | + | 0.936937i | ||||||||
0 | 0 | |||||||||
−53.8553 | − | 17.4986i | −2.12055 | − | 0.689008i | |||||
0 | 0 | |||||||||
6.63750 | + | 13.0268i | 0.260947 | + | 0.512137i | 0.983891 | − | 0.178769i | ||
−0.722944 | + | 0.690907i | ||||||||
0 | 0 | |||||||||
− | 18.5875i | − | 0.729625i | |||||||
0 | 0 | |||||||||
− | 69.2537i | − | 2.71427i | |||||||
0 | 0 | |||||||||
11.8246 | + | 23.2070i | 0.462731 | + | 0.908161i | 0.997984 | + | 0.0634688i | ||
−0.535253 | + | 0.844692i | ||||||||
0 | 0 | |||||||||
−32.4252 | + | 10.5356i | −1.26696 | + | 0.411660i | |||||
0 | 0 | |||||||||
5.18649 | + | 5.18649i | 0.202344 | + | 0.202344i | |||||
0 | 0 | |||||||||
−24.4969 | − | 17.7981i | −0.954265 | − | 0.693314i | −0.00245356 | − | 0.999997i | ||
−0.951812 | + | 0.306683i | ||||||||
0 | 0 | |||||||||
22.1513 | − | 16.0939i | 0.861587 | − | 0.625980i | −0.0667289 | − | 0.997771i | ||
0.928316 | + | 0.371791i | ||||||||
0 | 0 | |||||||||
−2.39604 | − | 15.1280i | −0.0930545 | − | 0.587523i | |||||
0 | 0 | |||||||||
−27.8619 | − | 14.1963i | −1.08044 | − | 0.550510i | |||||
0 | 0 | |||||||||
−6.42069 | − | 3.27150i | −0.248610 | − | 0.126673i | |||||
0 | 0 | |||||||||
−23.6065 | + | 7.67022i | −0.912681 | + | 0.296548i | |||||
0 | 0 | |||||||||
−2.19310 | − | 0.712582i | −0.0846638 | − | 0.0275089i | |||||
0 | 0 | |||||||||
2.72840 | − | 17.2265i | 0.105172 | − | 0.664031i | −0.877626 | − | 0.479347i | ||
0.982798 | − | 0.184684i | ||||||||
0 | 0 | |||||||||
−5.47085 | + | 34.5416i | −0.210573 | + | 1.32951i | |||||
0 | 0 | |||||||||
−30.9741 | − | 4.90581i | −1.19043 | − | 0.188546i | −0.470377 | − | 0.882465i | ||
−0.720052 | + | 0.693920i | ||||||||
0 | 0 | |||||||||
−1.78775 | + | 5.50212i | −0.0686075 | + | 0.211152i | |||||
0 | 0 | |||||||||
−3.57029 | − | 10.9882i | −0.136814 | − | 0.421069i | |||||
0 | 0 | |||||||||
−12.0790 | + | 23.7064i | −0.462191 | + | 0.907101i | 0.535836 | + | 0.844322i | ||
−0.998027 | + | 0.0627792i | ||||||||
0 | 0 | |||||||||
−0.343002 | − | 2.16563i | −0.0131054 | − | 0.0827443i | |||||
0 | 0 | |||||||||
18.7046 | − | 2.96251i | 0.713624 | − | 0.113027i | |||||
0 | 0 | |||||||||
5.31645 | + | 7.31746i | 0.202541 | + | 0.278773i | |||||
0 | 0 | |||||||||
−12.0424 | + | 16.5750i | −0.458115 | + | 0.630541i | −0.974116 | − | 0.226047i | ||
0.516002 | + | 0.856588i | ||||||||
0 | 0 | |||||||||
−16.8514 | + | 16.8514i | −0.640132 | + | 0.640132i | |||||
0 | 0 | |||||||||
8.75938 | − | 6.36406i | 0.332262 | − | 0.241403i | |||||
0 | 0 | |||||||||
−51.4928 | + | 26.2369i | −1.95043 | + | 0.993793i | |||||
0 | 0 | |||||||||
41.4679 | 1.56846 | |||||||||
0 | 0 | |||||||||
0.0556153 | 0.00210056 | 0.00105028 | − | 0.999999i | ||||||
0.00105028 | + | 0.999999i | ||||||||
0 | 0 | |||||||||
54.8943 | − | 27.9700i | 2.07038 | − | 1.05491i | |||||
0 | 0 | |||||||||
−5.71241 | − | 4.15031i | −0.215142 | − | 0.156310i | |||||
0 | 0 | |||||||||
−4.71668 | + | 4.71668i | −0.177389 | + | 0.177389i | |||||
0 | 0 | |||||||||
26.2864 | − | 36.1801i | 0.987206 | − | 1.35877i | 0.0543509 | − | 0.998522i | ||
0.932855 | − | 0.360251i | ||||||||
0 | 0 | |||||||||
23.5204 | + | 32.3730i | 0.882082 | + | 1.21408i | |||||
0 | 0 | |||||||||
−26.4933 | + | 4.19612i | −0.992181 | + | 0.157146i | |||||
0 | 0 | |||||||||
2.91296 | + | 2.91296i | 0.108939 | + | 0.108939i | |||||
0 | 0 | |||||||||
10.8673 | − | 21.3282i | 0.405845 | − | 0.796517i | |||||
0 | 0 | |||||||||
6.24759 | + | 19.2281i | 0.232996 | + | 0.717087i | 0.997381 | + | 0.0723273i | ||
−0.764385 | + | 0.644760i | ||||||||
0 | 0 | |||||||||
6.23236 | − | 19.1812i | 0.232105 | − | 0.714347i | |||||
0 | 0 | |||||||||
−24.5543 | − | 3.88902i | −0.913184 | − | 0.144634i | |||||
0 | 0 | |||||||||
13.2532 | + | 4.30621i | 0.492210 | + | 0.159929i | |||||
0 | 0 | |||||||||
1.18294 | − | 7.46881i | 0.0438729 | − | 0.277003i | −0.955993 | − | 0.293390i | ||
0.999866 | + | 0.0163874i | ||||||||
0 | 0 | |||||||||
37.0298 | + | 12.0317i | 1.37147 | + | 0.445619i | |||||
0 | 0 | |||||||||
−45.5447 | + | 14.7984i | −1.68453 | + | 0.547337i | |||||
0 | 0 | |||||||||
−4.47992 | − | 2.28263i | −0.165470 | − | 0.0843110i | 0.369294 | − | 0.929313i | ||
−0.534764 | + | 0.845002i | ||||||||
0 | 0 | |||||||||
5.01191 | + | 9.83643i | 0.184867 | + | 0.362822i | |||||
0 | 0 | |||||||||
1.94105 | + | 12.2553i | 0.0714994 | + | 0.451429i | |||||
0 | 0 | |||||||||
25.4921 | − | 18.5211i | 0.937743 | − | 0.681310i | −0.0101332 | − | 0.999949i | ||
0.947876 | + | 0.318638i | ||||||||
0 | 0 | |||||||||
−13.7273 | − | 9.97345i | −0.504284 | − | 0.366384i | |||||
0 | 0 | |||||||||
−4.53704 | − | 4.53704i | −0.166448 | − | 0.166448i | 0.618968 | − | 0.785416i | ||
−0.785416 | + | 0.618968i | ||||||||
0 | 0 | |||||||||
20.4853i | 0.750522i | |||||||||
0 | 0 | |||||||||
−37.7274 | − | 74.0443i | −1.38037 | − | 2.70914i | |||||
0 | 0 | |||||||||
36.6002i | 1.33734i | |||||||||
0 | 0 | |||||||||
− | 45.1400i | − | 1.64718i | −0.567184 | − | 0.823591i | ||||
0.567184 | − | 0.823591i | ||||||||
0 | 0 | |||||||||
−23.0793 | − | 45.2956i | −0.841055 | − | 1.65066i | |||||
0 | 0 | |||||||||
− | 34.8905i | − | 1.26979i | |||||||
0 | 0 | |||||||||
−11.2118 | − | 11.2118i | −0.407500 | − | 0.407500i | 0.473366 | − | 0.880866i | ||
−0.880866 | + | 0.473366i | ||||||||
0 | 0 | |||||||||
11.6074 | + | 8.43324i | 0.421321 | + | 0.306107i | |||||
0 | 0 | |||||||||
16.6208 | − | 12.0757i | 0.602503 | − | 0.437744i | −0.244263 | − | 0.969709i | ||
0.846767 | + | 0.531965i | ||||||||
0 | 0 | |||||||||
3.08465 | + | 19.4757i | 0.111672 | + | 0.705068i | |||||
0 | 0 | |||||||||
30.1297 | + | 59.1329i | 1.08934 | + | 2.13796i | |||||
0 | 0 | |||||||||
8.33510 | + | 4.24695i | 0.300963 | + | 0.153348i | |||||
0 | 0 | |||||||||
−22.0022 | + | 7.14894i | −0.793419 | + | 0.257797i | −0.677559 | − | 0.735468i | ||
−0.115859 | + | 0.993266i | ||||||||
0 | 0 | |||||||||
47.3751 | + | 15.3931i | 1.70617 | + | 0.554369i | |||||
0 | 0 | |||||||||
−6.27729 | + | 39.6333i | −0.225779 | + | 1.42551i | 0.570857 | + | 0.821050i | ||
−0.796635 | + | 0.604460i | ||||||||
0 | 0 | |||||||||
49.3327 | − | 16.0292i | 1.77208 | − | 0.575784i | |||||
0 | 0 | |||||||||
66.8577 | + | 10.5892i | 2.39850 | + | 0.379886i | |||||
0 | 0 | |||||||||
−19.7839 | + | 60.8887i | −0.708833 | + | 2.18157i | |||||
0 | 0 | |||||||||
−5.49095 | − | 16.8994i | −0.196482 | − | 0.604708i | |||||
0 | 0 | |||||||||
−8.84998 | + | 17.3691i | −0.316273 | + | 0.620720i | |||||
0 | 0 | |||||||||
11.3065 | + | 11.3065i | 0.403548 | + | 0.403548i | |||||
0 | 0 | |||||||||
−14.5622 | + | 2.30642i | −0.519085 | + | 0.0822150i | −0.410479 | − | 0.911870i | ||
−0.108606 | + | 0.994085i | ||||||||
0 | 0 | |||||||||
4.17037 | + | 5.74002i | 0.148469 | + | 0.204350i | |||||
0 | 0 | |||||||||
7.07900 | − | 9.74341i | 0.251700 | − | 0.346436i | |||||
0 | 0 | |||||||||
0.820627 | − | 0.820627i | 0.0291413 | − | 0.0291413i | |||||
0 | 0 | |||||||||
−49.2833 | − | 35.8064i | −1.74790 | − | 1.26992i | |||||
0 | 0 | |||||||||
17.3154 | − | 8.82266i | 0.613344 | − | 0.312515i | −0.119580 | − | 0.992825i | ||
0.732924 | + | 0.680310i | ||||||||
0 | 0 | |||||||||
−5.97133 | −0.211251 | |||||||||
0 | 0 | |||||||||
−18.0258 | −0.636911 | |||||||||
0 | 0 | |||||||||
−2.31057 | + | 1.17729i | −0.0815382 | + | 0.0415458i | |||||
0 | 0 | |||||||||
−10.7658 | + | 7.82178i | −0.379443 | + | 0.275682i | |||||
0 | 0 | |||||||||
16.2134 | − | 16.2134i | 0.570738 | − | 0.570738i | |||||
0 | 0 | |||||||||
12.0110 | − | 16.5317i | 0.422284 | − | 0.581224i | −0.543877 | − | 0.839165i | ||
0.966161 | + | 0.257941i | ||||||||
0 | 0 | |||||||||
7.49205 | + | 10.3119i | 0.263081 | + | 0.362101i | 0.920039 | − | 0.391827i | ||
−0.656957 | + | 0.753928i | ||||||||
0 | 0 | |||||||||
−32.7154 | + | 5.18162i | −1.14738 | + | 0.181727i | |||||
0 | 0 | |||||||||
−1.21196 | − | 7.65201i | −0.0424531 | − | 0.268038i | |||||
0 | 0 | |||||||||
−24.0848 | + | 47.2691i | −0.842621 | + | 1.65374i | |||||
0 | 0 | |||||||||
−3.70631 | − | 11.4069i | −0.129509 | − | 0.398588i | |||||
0 | 0 | |||||||||
−13.2734 | + | 40.8514i | −0.463246 | + | 1.42572i | 0.397929 | + | 0.917416i | ||
−0.861175 | + | 0.508309i | ||||||||
0 | 0 | |||||||||
−14.1588 | − | 2.24253i | −0.493545 | − | 0.0781698i | −0.0952992 | − | 0.995449i | ||
−0.398246 | + | 0.917279i | ||||||||
0 | 0 | |||||||||
−24.7212 | − | 12.5961i | −0.860681 | − | 0.438539i | |||||
0 | 0 | |||||||||
−3.59722 | + | 22.7120i | −0.125088 | + | 0.789773i | 0.842770 | + | 0.538274i | ||
−0.967858 | + | 0.251499i | ||||||||
0 | 0 | |||||||||
−53.7472 | − | 17.4635i | −1.86672 | − | 0.606533i | −0.992695 | − | 0.120648i | ||
−0.874022 | − | 0.485886i | ||||||||
0 | 0 | |||||||||
14.2343 | − | 4.62502i | 0.493784 | − | 0.160440i | |||||
0 | 0 | |||||||||
8.31854 | + | 4.23851i | 0.288220 | + | 0.146856i | |||||
0 | 0 | |||||||||
27.2817 | + | 13.9007i | 0.944121 | + | 0.481054i | |||||
0 | 0 | |||||||||
11.3512 | + | 71.6689i | 0.392356 | + | 2.47724i | |||||
0 | 0 | |||||||||
45.5611 | − | 33.1021i | 1.57294 | − | 1.14281i | 0.648678 | − | 0.761063i | ||
0.924266 | − | 0.381748i | ||||||||
0 | 0 | |||||||||
−17.1774 | − | 12.4801i | −0.592323 | − | 0.430348i | |||||
0 | 0 | |||||||||
−1.94403 | − | 1.94403i | −0.0669559 | − | 0.0669559i | |||||
0 | 0 | |||||||||
25.6743 | − | 8.34210i | 0.883224 | − | 0.286977i | |||||
0 | 0 | |||||||||
7.66920 | + | 15.0516i | 0.263517 | + | 0.517181i | |||||
0 | 0 | |||||||||
13.6655i | 0.469000i | |||||||||
0 | 0 | |||||||||
− | 26.2183i | − | 0.898751i | |||||||
0 | 0 | |||||||||
2.05888 | + | 4.04078i | 0.0704948 | + | 0.138354i | 0.923564 | − | 0.383443i | ||
−0.853070 | + | 0.521797i | ||||||||
0 | 0 | |||||||||
69.9230 | + | 22.7194i | 2.39132 | + | 0.776986i | |||||
0 | 0 | |||||||||
31.5213 | + | 31.5213i | 1.07675 | + | 1.07675i | 0.996799 | + | 0.0799464i | ||
0.0799464 | + | 0.996799i | ||||||||
0 | 0 | |||||||||
−44.9222 | − | 32.6379i | −1.53272 | − | 1.11359i | −0.954700 | − | 0.297570i | ||
−0.578025 | − | 0.816019i | ||||||||
0 | 0 | |||||||||
−56.9080 | + | 41.3461i | −1.93942 | + | 1.40907i | |||||
0 | 0 | |||||||||
−5.82545 | − | 36.7804i | −0.198301 | − | 1.25202i | −0.863113 | − | 0.505010i | ||
0.664813 | − | 0.747010i | ||||||||
0 | 0 | |||||||||
0.0605030 | − | 0.382001i | 0.00205716 | − | 0.0129884i | |||||
0 | 0 | |||||||||
33.7995 | + | 17.2217i | 1.14789 | + | 0.584880i | |||||
0 | 0 | |||||||||
−13.4549 | + | 4.37177i | −0.456427 | + | 0.148302i | |||||
0 | 0 | |||||||||
−5.93906 | − | 1.92972i | −0.201238 | − | 0.0653860i | |||||
0 | 0 | |||||||||
2.12785 | − | 13.4347i | 0.0720168 | − | 0.454696i | |||||
0 | 0 | |||||||||
18.1964 | − | 18.1964i | 0.615149 | − | 0.615149i | |||||
0 | 0 | |||||||||
33.6877 | + | 5.33560i | 1.13755 | + | 0.180170i | 0.696668 | − | 0.717394i | ||
0.440884 | + | 0.897564i | ||||||||
0 | 0 | |||||||||
22.0566 | − | 67.8832i | 0.743950 | − | 2.28964i | |||||
0 | 0 | |||||||||
−10.0398 | − | 30.8993i | −0.338250 | − | 1.04103i | −0.965099 | − | 0.261885i | ||
0.626849 | − | 0.779140i | ||||||||
0 | 0 | |||||||||
−19.0062 | + | 37.3018i | −0.639611 | + | 1.25531i | 0.312606 | + | 0.949883i | ||
−0.952216 | + | 0.305424i | ||||||||
0 | 0 | |||||||||
−62.2284 | − | 9.85602i | −2.09179 | − | 0.331306i | |||||
0 | 0 | |||||||||
−15.7111 | + | 2.48840i | −0.527528 | + | 0.0835522i | −0.414517 | − | 0.910042i | ||
−0.113011 | + | 0.993594i | ||||||||
0 | 0 | |||||||||
23.9896 | + | 33.0189i | 0.804586 | + | 1.10742i | |||||
0 | 0 | |||||||||
4.55565 | − | 6.27031i | 0.152620 | − | 0.210063i | |||||
0 | 0 | |||||||||
−4.67758 | + | 4.67758i | −0.156529 | + | 0.156529i | |||||
0 | 0 | |||||||||
6.74346 | − | 20.7542i | 0.225409 | − | 0.693738i | |||||
0 | 0 | |||||||||
−6.43376 | + | 3.27817i | −0.214817 | + | 0.109455i | |||||
0 | 0 | |||||||||
28.9136 | 0.964321 | |||||||||
0 | 0 | |||||||||
−51.5171 | −1.71628 | |||||||||
0 | 0 | |||||||||
−51.9352 | + | 26.4623i | −1.72830 | + | 0.880611i | |||||
0 | 0 | |||||||||
12.4589 | + | 38.3446i | 0.414148 | + | 1.27462i | |||||
0 | 0 | |||||||||
−26.6340 | + | 26.6340i | −0.884368 | + | 0.884368i | −0.993975 | − | 0.109607i | ||
0.109607 | + | 0.993975i | ||||||||
0 | 0 | |||||||||
9.21837 | − | 12.6880i | 0.305754 | − | 0.420834i | |||||
0 | 0 | |||||||||
10.7990 | + | 14.8635i | 0.357786 | + | 0.492450i | 0.949530 | − | 0.313676i | ||
−0.591744 | + | 0.806126i | ||||||||
0 | 0 | |||||||||
29.0188 | − | 4.59613i | 0.960383 | − | 0.152110i | |||||
0 | 0 | |||||||||
−3.54852 | + | 6.96435i | −0.117310 | + | 0.230234i | |||||
0 | 0 | |||||||||
−15.9325 | + | 31.2692i | −0.526136 | + | 1.03260i | |||||
0 | 0 | |||||||||
−3.79079 | − | 11.6668i | −0.125047 | − | 0.384854i | 0.868863 | − | 0.495053i | ||
−0.993910 | + | 0.110199i | ||||||||
0 | 0 | |||||||||
11.6027 | − | 35.7094i | 0.382322 | − | 1.17666i | |||||
0 | 0 | |||||||||
8.83270 | + | 1.39896i | 0.290732 | + | 0.0460474i | |||||
0 | 0 | |||||||||
7.93138 | + | 50.0768i | 0.260782 | + | 1.64651i | |||||
0 | 0 | |||||||||
−7.41801 | + | 46.8354i | −0.243639 | + | 1.53828i | |||||
0 | 0 | |||||||||
−22.8891 | − | 7.43712i | −0.750967 | − | 0.244004i | −0.0915697 | − | 0.995799i | ||
−0.659397 | + | 0.751795i | ||||||||
0 | 0 | |||||||||
9.83643 | − | 3.19605i | 0.322376 | − | 0.104746i | |||||
0 | 0 | |||||||||
−63.9703 | − | 32.5945i | −2.09429 | − | 1.06710i | |||||
0 | 0 | |||||||||
−23.1749 | + | 3.67054i | −0.757900 | + | 0.120040i | |||||
0 | 0 | |||||||||
−4.35021 | − | 27.4661i | −0.142115 | − | 0.897280i | −0.950973 | − | 0.309275i | ||
0.808858 | − | 0.588005i | ||||||||
0 | 0 | |||||||||
−57.4889 | + | 41.7682i | −1.87608 | + | 1.36305i | |||||
0 | 0 | |||||||||
26.2811 | + | 19.0943i | 0.856739 | + | 0.622458i | 0.926996 | − | 0.375071i | ||
−0.0702566 | + | 0.997529i | ||||||||
0 | 0 | |||||||||
19.2652 | + | 19.2652i | 0.627361 | + | 0.627361i | |||||
0 | 0 | |||||||||
21.1593 | + | 29.1232i | 0.688311 | + | 0.947379i | |||||
0 | 0 | |||||||||
19.6510 | + | 38.5672i | 0.638570 | + | 1.25327i | 0.952708 | + | 0.303888i | ||
−0.314137 | + | 0.949378i | ||||||||
0 | 0 | |||||||||
− | 1.30511i | − | 0.0423656i | |||||||
0 | 0 | |||||||||
32.6197i | 1.05777i | |||||||||
0 | 0 | |||||||||
−17.2271 | − | 33.8100i | −0.558039 | − | 1.09521i | −0.981885 | − | 0.189479i | ||
0.423845 | − | 0.905735i | ||||||||
0 | 0 | |||||||||
−7.84829 | + | 10.8022i | −0.253965 | + | 0.349552i | |||||
0 | 0 | |||||||||
−10.9357 | − | 10.9357i | −0.353501 | − | 0.353501i | |||||
0 | 0 | |||||||||
−1.82592 | − | 1.32661i | −0.0589619 | − | 0.0428383i | |||||
0 | 0 | |||||||||
61.9917 | − | 45.0396i | 1.99973 | − | 1.45289i | |||||
0 | 0 | |||||||||
−13.4617 | − | 84.9940i | −0.433798 | − | 2.73889i | |||||
0 | 0 | |||||||||
−13.2665 | + | 13.2665i | −0.427062 | + | 0.427062i | |||||
0 | 0 | |||||||||
−34.9580 | − | 17.8120i | −1.12417 | − | 0.572795i | −0.209832 | − | 0.977738i | ||
−0.914342 | + | 0.404942i | ||||||||
0 | 0 | |||||||||
91.9139 | − | 29.8646i | 2.95270 | − | 0.959391i | |||||
0 | 0 | |||||||||
17.7840 | + | 5.77838i | 0.570717 | + | 0.185437i | 0.580138 | − | 0.814519i | ||
−0.00942088 | + | 0.999956i | ||||||||
0 | 0 | |||||||||
1.74344 | − | 11.0077i | 0.0558922 | − | 0.352889i | |||||
0 | 0 | |||||||||
11.2968 | − | 8.20758i | 0.361786 | − | 0.262853i | |||||
0 | 0 | |||||||||
39.6220 | + | 6.27550i | 1.26762 | + | 0.200771i | 0.753786 | − | 0.657119i | ||
0.513832 | + | 0.857891i | ||||||||
0 | 0 | |||||||||
1.96937 | − | 6.06109i | 0.0629413 | − | 0.193713i | |||||
0 | 0 | |||||||||
−14.3265 | − | 44.0924i | −0.457410 | − | 1.40776i | |||||
0 | 0 | |||||||||
−14.9499 | + | 29.3408i | −0.476827 | + | 0.935826i | 0.519841 | + | 0.854263i | ||
−0.996668 | + | 0.0815629i | ||||||||
0 | 0 | |||||||||
−20.6379 | + | 10.5156i | −0.657580 | + | 0.335054i | |||||
0 | 0 | |||||||||
−7.17862 | + | 1.13698i | −0.228498 | + | 0.0361905i | |||||
0 | 0 | |||||||||
13.2701 | + | 18.2647i | 0.421963 | + | 0.580782i | |||||
0 | 0 | |||||||||
−5.75905 | + | 7.92666i | −0.182942 | + | 0.251799i | −0.890632 | − | 0.454725i | ||
0.707690 | + | 0.706524i | ||||||||
0 | 0 | |||||||||
−43.1986 | + | 43.1986i | −1.37087 | + | 1.37087i | |||||
0 | 0 | |||||||||
27.1716 | 0.861397 | |||||||||
0 | 0 | |||||||||
19.0371 | − | 9.69989i | 0.602911 | − | 0.307198i | −0.125762 | − | 0.992060i | ||
0.728673 | + | 0.684862i | ||||||||
0 | 0 | |||||||||
−70.9249 | −2.24397 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 400.2.bi.c.127.1 | yes | 16 | |
4.3 | odd | 2 | inner | 400.2.bi.c.127.2 | yes | 16 | |
25.13 | odd | 20 | inner | 400.2.bi.c.63.2 | yes | 16 | |
100.63 | even | 20 | inner | 400.2.bi.c.63.1 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bi.c.63.1 | ✓ | 16 | 100.63 | even | 20 | inner | |
400.2.bi.c.63.2 | yes | 16 | 25.13 | odd | 20 | inner | |
400.2.bi.c.127.1 | yes | 16 | 1.1 | even | 1 | trivial | |
400.2.bi.c.127.2 | yes | 16 | 4.3 | odd | 2 | inner |