Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [784,2,Mod(165,784)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(784, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("784.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 784.x (of order , degree , not 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: | no (minimal twist has level 112) |
Sato-Tate group: |
Embedding invariants
Embedding label | 557.1 | ||
Root | of defining polynomial | ||
Character | 784.557 | ||
Dual form | 784.2.x.j.373.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.27404 | − | 0.613848i | −0.900886 | − | 0.434056i | |||||
−2.68432 | + | 0.719263i | −1.54980 | + | 0.415266i | −0.929415 | − | 0.369035i | ||
−0.620380 | + | 0.784301i | ||||||||
1.24638 | + | 1.56414i | 0.623190 | + | 0.782070i | |||||
−0.857592 | − | 0.229791i | −0.383527 | − | 0.102766i | 0.0619040 | − | 0.998082i | ||
−0.445431 | + | 0.895316i | ||||||||
3.86147 | + | 0.731395i | 1.57644 | + | 0.298591i | |||||
0 | 0 | |||||||||
−0.627801 | − | 2.75787i | −0.221961 | − | 0.975056i | |||||
4.09018 | − | 2.36147i | 1.36339 | − | 0.787156i | |||||
0.951553 | + | 0.819195i | 0.300908 | + | 0.259052i | |||||
1.36269 | + | 5.08562i | 0.410866 | + | 1.53337i | 0.792974 | + | 0.609256i | ||
−0.382108 | + | 0.924118i | ||||||||
−4.47072 | − | 3.30218i | −1.29059 | − | 0.953259i | |||||
−2.22066 | − | 2.22066i | −0.615901 | − | 0.615901i | 0.328576 | − | 0.944477i | ||
−0.944477 | + | 0.328576i | ||||||||
0 | 0 | |||||||||
2.46733 | 0.637063 | |||||||||
−0.893069 | + | 3.89903i | −0.223267 | + | 0.974757i | |||||
1.62780 | − | 2.81943i | 0.394800 | − | 0.683813i | −0.598276 | − | 0.801290i | ||
0.993076 | + | 0.117477i | ||||||||
−6.66066 | + | 0.497865i | −1.56993 | + | 0.117348i | |||||
0.671653 | − | 2.50664i | 0.154088 | − | 0.575063i | −0.845094 | − | 0.534618i | ||
0.999182 | − | 0.0404454i | ||||||||
−0.709460 | − | 1.62780i | −0.158640 | − | 0.363987i | |||||
0 | 0 | |||||||||
1.38567 | − | 7.31580i | 0.295427 | − | 1.55973i | |||||
6.62774 | − | 3.82653i | 1.38198 | − | 0.797887i | 0.389586 | − | 0.920990i | ||
0.992394 | + | 0.123103i | ||||||||
3.66886 | + | 6.95147i | 0.748902 | + | 1.41896i | |||||
−3.64747 | − | 2.10587i | −0.729494 | − | 0.421173i | |||||
1.46607 | + | 4.19237i | 0.287521 | + | 0.822192i | |||||
−3.38567 | + | 3.38567i | −0.651573 | + | 0.651573i | |||||
0 | 0 | |||||||||
−1.53721 | − | 1.53721i | −0.285453 | − | 0.285453i | 0.549826 | − | 0.835279i | ||
−0.835279 | + | 0.549826i | ||||||||
−3.14349 | − | 1.51457i | −0.573921 | − | 0.276521i | |||||
−1.22066 | + | 2.11425i | −0.219238 | + | 0.379731i | −0.954575 | − | 0.297970i | ||
0.735338 | + | 0.677701i | ||||||||
3.53122 | − | 4.41933i | 0.624238 | − | 0.781234i | |||||
−7.31580 | − | 12.6713i | −1.27352 | − | 2.20580i | |||||
−3.80460 | + | 2.59286i | −0.652483 | + | 0.444672i | |||||
0 | 0 | |||||||||
8.79159 | + | 3.45433i | 1.46527 | + | 0.575722i | |||||
1.72139 | + | 0.461245i | 0.282995 | + | 0.0758283i | 0.397524 | − | 0.917592i | ||
−0.114530 | + | 0.993420i | ||||||||
−2.39441 | + | 2.78128i | −0.388425 | + | 0.451183i | |||||
7.55822 | + | 4.36374i | 1.21028 | + | 0.698758i | |||||
−0.0953379 | + | 2.50939i | −0.0150742 | + | 0.396770i | |||||
7.77589i | 1.21439i | 0.794553 | + | 0.607195i | ||||||
−0.794553 | + | 0.607195i | ||||||||
0 | 0 | |||||||||
−7.51575 | + | 7.51575i | −1.14614 | + | 1.14614i | −0.158836 | + | 0.987305i | ||
−0.987305 | + | 0.158836i | ||||||||
−6.25620 | + | 8.47006i | −0.943158 | + | 1.27691i | |||||
−4.05035 | + | 1.08529i | −0.603790 | + | 0.161785i | |||||
−10.7930 | + | 0.806742i | −1.59133 | + | 0.118948i | |||||
5.55792 | + | 9.62661i | 0.810707 | + | 1.40418i | 0.912370 | + | 0.409366i | ||
−0.101664 | + | 0.994819i | ||||||||
−0.407138 | − | 11.1086i | −0.0587653 | − | 1.60339i | |||||
0 | 0 | |||||||||
3.35436 | + | 4.92196i | 0.474377 | + | 0.696070i | |||||
−2.34163 | + | 8.73909i | −0.327894 | + | 1.22372i | |||||
0.705636 | − | 6.24122i | 0.0978542 | − | 0.865502i | |||||
1.07250 | + | 4.00262i | 0.147319 | + | 0.549803i | 0.999641 | + | 0.0267853i | ||
−0.852322 | + | 0.523017i | ||||||||
6.39179 | − | 2.23521i | 0.869813 | − | 0.304174i | |||||
− | 4.67452i | − | 0.630312i | |||||||
0 | 0 | |||||||||
7.21173i | 0.955217i | |||||||||
1.01486 | + | 2.90209i | 0.133258 | + | 0.381063i | |||||
2.50344 | + | 9.34298i | 0.325921 | + | 1.21635i | 0.913383 | + | 0.407101i | ||
−0.587463 | + | 0.809251i | ||||||||
3.07524 | + | 3.85926i | 0.397012 | + | 0.498228i | |||||
−1.23431 | + | 4.60651i | −0.158037 | + | 0.589803i | 0.840789 | + | 0.541363i | ||
−0.998826 | + | 0.0484399i | ||||||||
2.85301 | − | 1.94435i | 0.362332 | − | 0.246932i | |||||
0 | 0 | |||||||||
−7.21173 | + | 3.46279i | −0.901467 | + | 0.432849i | |||||
1.39413 | + | 2.41471i | 0.172921 | + | 0.299508i | |||||
1.54238 | + | 20.6346i | 0.189854 | + | 2.53995i | |||||
−1.26436 | + | 0.338785i | −0.154467 | + | 0.0413892i | −0.335224 | − | 0.942139i | ||
0.180757 | + | 0.983528i | ||||||||
6.43885 | − | 0.967979i | 0.780825 | − | 0.117385i | |||||
−15.0387 | + | 15.0387i | −1.81045 | + | 1.81045i | |||||
0 | 0 | |||||||||
− | 12.1113i | − | 1.43735i | −0.695348 | − | 0.718674i | ||||
0.695348 | − | 0.718674i | ||||||||
−9.08045 | − | 9.79767i | −1.07014 | − | 1.15467i | |||||
−5.55501 | − | 3.20719i | −0.650165 | − | 0.375373i | 0.138354 | − | 0.990383i | ||
−0.788519 | + | 0.615010i | ||||||||
−1.91000 | − | 1.64432i | −0.222032 | − | 0.191148i | |||||
11.3057 | + | 3.02934i | 1.30546 | + | 0.349798i | |||||
4.75787 | − | 2.07367i | 0.545766 | − | 0.237866i | |||||
0 | 0 | |||||||||
−6.95084 | − | 10.1992i | −0.787027 | − | 1.15483i | |||||
3.64128 | + | 6.30687i | 0.409675 | + | 0.709579i | 0.994853 | − | 0.101326i | ||
−0.585178 | + | 0.810905i | ||||||||
1.66185 | − | 3.13856i | 0.185801 | − | 0.350901i | |||||
−0.431344 | + | 0.747110i | −0.0479271 | + | 0.0830122i | |||||
4.77322 | − | 9.90684i | 0.527114 | − | 1.09403i | |||||
1.96506 | + | 1.96506i | 0.215694 | + | 0.215694i | 0.806681 | − | 0.590987i | ||
−0.590987 | + | 0.806681i | ||||||||
0 | 0 | |||||||||
−2.04387 | + | 2.04387i | −0.221689 | + | 0.221689i | |||||
14.1889 | − | 4.96187i | 1.53003 | − | 0.535052i | |||||
5.23203 | + | 3.02071i | 0.560932 | + | 0.323854i | |||||
13.1700 | − | 6.95088i | 1.40393 | − | 0.740966i | |||||
−0.576282 | + | 0.332717i | −0.0610858 | + | 0.0352679i | −0.530232 | − | 0.847853i | ||
0.469146 | + | 0.883121i | ||||||||
5.82653 | + | 1.10359i | 0.614170 | + | 0.116329i | |||||
0 | 0 | |||||||||
14.2459 | + | 5.59741i | 1.48524 | + | 0.583570i | |||||
1.75595 | − | 6.55331i | 0.182084 | − | 0.679547i | |||||
−1.17177 | − | 15.6765i | −0.120859 | − | 1.61690i | |||||
−1.15201 | + | 1.99533i | −0.118193 | + | 0.204717i | |||||
−6.30029 | + | 14.4028i | −0.643020 | + | 1.46998i | |||||
8.34450 | 0.847256 | 0.423628 | − | 0.905836i | ||||||
0.423628 | + | 0.905836i | ||||||||
0 | 0 | |||||||||
17.5832 | + | 17.5832i | 1.76718 | + | 1.76718i | |||||
−1.25226 | − | 8.32986i | −0.125226 | − | 0.832986i | |||||
1.23696 | + | 4.61640i | 0.123082 | + | 0.459349i | 0.999764 | − | 0.0217217i | ||
−0.876682 | + | 0.481070i | ||||||||
8.34782 | − | 9.69659i | 0.826557 | − | 0.960105i | |||||
−16.6465 | + | 9.61088i | −1.64023 | + | 0.946988i | −0.659482 | + | 0.751720i | ||
−0.980750 | + | 0.195268i | ||||||||
−4.73017 | + | 7.51844i | −0.463832 | + | 0.737244i | |||||
0 | 0 | |||||||||
1.09059 | − | 5.75787i | 0.105927 | − | 0.559254i | |||||
−3.37044 | − | 0.903107i | −0.325833 | − | 0.0873066i | 0.0921947 | − | 0.995741i | ||
−0.418028 | + | 0.908434i | ||||||||
−9.51551 | − | 1.07583i | −0.915630 | − | 0.103522i | |||||
−3.34112 | + | 0.895251i | −0.320021 | + | 0.0857495i | −0.415254 | − | 0.909706i | ||
0.0952324 | + | 0.995455i | ||||||||
−2.86945 | + | 5.95555i | −0.273591 | + | 0.567840i | |||||
−4.95253 | −0.470073 | |||||||||
0 | 0 | |||||||||
3.35149 | 0.315281 | 0.157641 | − | 0.987497i | ||||||
0.157641 | + | 0.987497i | ||||||||
4.42691 | − | 9.18807i | 0.414618 | − | 0.860542i | |||||
−6.56320 | + | 1.75860i | −0.612021 | + | 0.163991i | |||||
0.488463 | − | 4.32036i | 0.0453527 | − | 0.401136i | |||||
−14.3269 | − | 3.83889i | −1.32453 | − | 0.354906i | |||||
2.54567 | − | 13.4401i | 0.234348 | − | 1.23726i | |||||
0 | 0 | |||||||||
−1.54899 | − | 6.80460i | −0.141403 | − | 0.621172i | |||||
−14.4804 | + | 8.36025i | −1.31640 | + | 0.760022i | |||||
4.40026 | − | 5.11122i | 0.398381 | − | 0.462748i | |||||
−5.59291 | − | 20.8730i | −0.504296 | − | 1.88206i | |||||
−4.82840 | + | 0.725873i | −0.433603 | + | 0.0651853i | |||||
5.78313 | + | 5.78313i | 0.517259 | + | 0.517259i | |||||
0 | 0 | |||||||||
−5.55623 | −0.493036 | −0.246518 | − | 0.969138i | ||||||
−0.246518 | + | 0.969138i | ||||||||
11.3137 | + | 0.0151595i | 0.999999 | + | 0.00133992i | |||||
14.7689 | − | 25.5805i | 1.30033 | − | 2.25224i | |||||
−0.293923 | − | 3.93224i | −0.0257788 | − | 0.344880i | |||||
−3.53986 | + | 13.2109i | −0.309279 | + | 1.15425i | 0.619920 | + | 0.784665i | ||
−0.929199 | + | 0.369580i | ||||||||
10.7015 | − | 27.2362i | 0.931444 | − | 2.37061i | |||||
0 | 0 | |||||||||
1.81882 | + | 0.344500i | 0.157122 | + | 0.0297603i | |||||
3.68152 | − | 2.12553i | 0.316855 | − | 0.182936i | |||||
−8.79757 | − | 2.71923i | −0.754386 | − | 0.233172i | |||||
4.26568 | + | 2.46279i | 0.364441 | + | 0.210410i | 0.671027 | − | 0.741433i | ||
−0.306586 | + | 0.951843i | ||||||||
28.3915 | − | 9.92852i | 2.41685 | − | 0.845172i | |||||
−7.58393 | + | 7.58393i | −0.643261 | + | 0.643261i | −0.951356 | − | 0.308095i | ||
0.308095 | + | 0.951356i | ||||||||
0 | 0 | |||||||||
−21.8433 | − | 21.8433i | −1.83954 | − | 1.83954i | |||||
−7.43450 | + | 15.4303i | −0.623889 | + | 1.29489i | |||||
8.26738 | − | 14.3195i | 0.691353 | − | 1.19746i | |||||
5.55461 | + | 18.0567i | 0.462885 | + | 1.50472i | |||||
0.965062 | + | 1.67154i | 0.0801440 | + | 0.138814i | |||||
5.10861 | + | 7.49604i | 0.422792 | + | 0.620376i | |||||
0 | 0 | |||||||||
1.42406 | + | 3.26738i | 0.117057 | + | 0.268577i | |||||
3.68278 | + | 0.986799i | 0.301705 | + | 0.0808417i | 0.406496 | − | 0.913653i | ||
−0.104790 | + | 0.994494i | ||||||||
−12.5444 | − | 10.7995i | −1.02424 | − | 0.881773i | |||||
1.87431 | + | 1.08213i | 0.152529 | + | 0.0880625i | 0.574322 | − | 0.818630i | ||
−0.421793 | + | 0.906692i | ||||||||
−7.33466 | − | 0.278662i | −0.594920 | − | 0.0226024i | |||||
− | 15.3760i | − | 1.24308i | |||||||
0 | 0 | |||||||||
1.53267 | − | 1.53267i | 0.123107 | − | 0.123107i | |||||
2.59492 | + | 17.2610i | 0.207760 | + | 1.38199i | |||||
5.38577 | − | 1.44311i | 0.429831 | − | 0.115173i | −0.0374157 | − | 0.999300i | ||
0.467247 | + | 0.884127i | ||||||||
−0.767685 | − | 10.2704i | −0.0610738 | − | 0.817072i | |||||
−5.75787 | − | 9.97293i | −0.456629 | − | 0.790905i | |||||
−4.04387 | + | 2.97854i | −0.319696 | + | 0.235474i | |||||
0 | 0 | |||||||||
1.00816 | − | 0.687072i | 0.0792088 | − | 0.0539815i | |||||
−3.01390 | + | 11.2480i | −0.236067 | + | 0.881015i | 0.741598 | + | 0.670845i | ||
−0.977665 | + | 0.210170i | ||||||||
−12.1626 | + | 9.69172i | −0.949738 | + | 0.756797i | |||||
3.36221 | + | 12.5479i | 0.261748 | + | 0.976855i | |||||
−1.29733 | − | 3.70983i | −0.100692 | − | 0.287938i | |||||
12.4649i | 0.964562i | 0.876016 | + | 0.482281i | ||||||
−0.876016 | + | 0.482281i | ||||||||
0 | 0 | |||||||||
− | 3.13731i | − | 0.241332i | |||||||
3.85861 | − | 1.34936i | 0.295942 | − | 0.103491i | |||||
−3.17217 | − | 11.8387i | −0.242582 | − | 0.905328i | |||||
−21.1232 | − | 2.38820i | −1.61063 | − | 0.182098i | |||||
5.09752 | − | 19.0242i | 0.387557 | − | 1.44638i | −0.446539 | − | 0.894764i | ||
0.834096 | − | 0.551619i | ||||||||
−4.81158 | − | 7.06020i | −0.364765 | − | 0.535232i | |||||
0 | 0 | |||||||||
−21.0460 | + | 0.771348i | −1.58640 | + | 0.0581426i | |||||
−13.4401 | − | 23.2789i | −1.01022 | − | 1.74975i | |||||
0.938447 | − | 0.0701462i | 0.0703396 | − | 0.00525768i | |||||
−1.33542 | + | 0.357825i | −0.0998139 | + | 0.0267451i | −0.308380 | − | 0.951263i | ||
0.208566 | + | 0.978008i | ||||||||
−6.74582 | − | 4.98263i | −0.502804 | − | 0.371384i | |||||
16.0038 | − | 16.0038i | 1.18955 | − | 1.18955i | 0.212362 | − | 0.977191i | ||
0.977191 | − | 0.212362i | ||||||||
0 | 0 | |||||||||
− | 13.2532i | − | 0.979702i | |||||||
−14.7140 | − | 15.8762i | −1.08473 | − | 1.17041i | |||||
−1.37026 | − | 0.791120i | −0.100744 | − | 0.0581643i | |||||
−6.25990 | + | 7.27132i | −0.458998 | + | 0.533159i | |||||
16.5568 | + | 4.43637i | 1.21075 | + | 0.324420i | |||||
−8.13007 | + | 20.6918i | −0.592947 | + | 1.50910i | |||||
0 | 0 | |||||||||
2.69254 | − | 1.83499i | 0.195337 | − | 0.133124i | |||||
−1.25560 | − | 2.17477i | −0.0908521 | − | 0.157360i | 0.817018 | − | 0.576612i | ||
−0.907870 | + | 0.419252i | ||||||||
16.8680 | − | 14.4824i | 1.21734 | − | 1.04518i | |||||
−5.04719 | + | 8.74199i | −0.363305 | + | 0.629262i | −0.988503 | − | 0.151204i | ||
0.625198 | + | 0.780466i | ||||||||
−10.6313 | − | 5.12226i | −0.763281 | − | 0.367757i | |||||
−5.47912 | − | 5.47912i | −0.392368 | − | 0.392368i | |||||
0 | 0 | |||||||||
−13.5617 | + | 13.5617i | −0.966232 | + | 0.966232i | −0.999448 | − | 0.0332158i | ||
0.0332158 | + | 0.999448i | ||||||||
−11.6084 | − | 33.1952i | −0.824970 | − | 2.35908i | |||||
−4.86063 | − | 2.80629i | −0.344561 | − | 0.198932i | 0.317726 | − | 0.948183i | ||
−0.662287 | + | 0.749250i | ||||||||
−3.51783 | + | 11.3813i | −0.248748 | + | 0.804781i | |||||
3.15029 | − | 1.81882i | 0.222204 | − | 0.128290i | |||||
1.25782 | − | 6.64080i | 0.0885002 | − | 0.467245i | |||||
0 | 0 | |||||||||
−16.5877 | + | 7.22959i | −1.16137 | + | 0.506173i | |||||
1.78683 | − | 6.66854i | 0.124798 | − | 0.465751i | |||||
27.1081 | − | 2.02625i | 1.88871 | − | 0.141176i | |||||
18.0725 | − | 31.3024i | 1.25612 | − | 2.17567i | |||||
10.6416 | − | 6.67522i | 0.737865 | − | 0.462843i | |||||
13.6631 | 0.945096 | |||||||||
0 | 0 | |||||||||
3.86025 | + | 3.86025i | 0.265750 | + | 0.265750i | 0.827385 | − | 0.561635i | ||
−0.561635 | + | 0.827385i | ||||||||
−4.92392 | + | 6.66633i | −0.338176 | + | 0.457846i | |||||
8.71121 | + | 32.5107i | 0.596882 | + | 2.22759i | |||||
3.73972 | + | 3.21954i | 0.255642 | + | 0.220083i | |||||
8.17249 | − | 4.71839i | 0.557359 | − | 0.321792i | |||||
11.4628 | + | 7.21173i | 0.779944 | + | 0.490696i | |||||
0 | 0 | |||||||||
4.80629 | + | 0.910351i | 0.325523 | + | 0.0616568i | |||||
17.2183 | + | 4.61362i | 1.16350 | + | 0.311760i | |||||
7.31161 | − | 5.82624i | 0.492949 | − | 0.392805i | |||||
−9.87581 | + | 2.64621i | −0.664319 | + | 0.178004i | |||||
6.30974 | + | 3.04010i | 0.423482 | + | 0.204038i | |||||
12.5348 | 0.839390 | 0.419695 | − | 0.907665i | ||||||
0.419695 | + | 0.907665i | ||||||||
0 | 0 | |||||||||
−19.8917 | −1.32612 | |||||||||
−4.26994 | − | 2.05730i | −0.284032 | − | 0.136850i | |||||
−21.4525 | + | 5.74818i | −1.42385 | + | 0.381520i | −0.886849 | − | 0.462059i | ||
−0.537004 | + | 0.843580i | ||||||||
−11.2802 | + | 8.98857i | −0.747047 | + | 0.595282i | |||||
9.96527 | + | 2.67019i | 0.658524 | + | 0.176451i | 0.572580 | − | 0.819849i | ||
0.0859440 | + | 0.996300i | ||||||||
9.44133 | + | 1.78827i | 0.622543 | + | 0.117915i | |||||
0 | 0 | |||||||||
−3.27437 | + | 5.20449i | −0.214973 | + | 0.341692i | |||||
−0.158206 | + | 0.0913400i | −0.0103644 | + | 0.00598388i | −0.505173 | − | 0.863018i | ||
0.494809 | + | 0.869002i | ||||||||
15.8967 | + | 13.6855i | 1.03920 | + | 0.894648i | |||||
−2.55432 | − | 9.53286i | −0.166626 | − | 0.621855i | |||||
−11.4935 | + | 15.5606i | −0.748162 | + | 1.01291i | |||||
−14.3107 | − | 14.3107i | −0.929577 | − | 0.929577i | |||||
0 | 0 | |||||||||
0.261087 | 0.0168883 | 0.00844417 | − | 0.999964i | ||||||
0.00844417 | + | 0.999964i | ||||||||
−2.20350 | + | 9.62021i | −0.142235 | + | 0.620982i | |||||
3.76511 | − | 6.52137i | 0.242532 | − | 0.420078i | −0.718903 | − | 0.695111i | ||
0.961435 | + | 0.275033i | ||||||||
23.5806 | − | 1.76258i | 1.51582 | − | 0.113303i | |||||
4.33823 | − | 16.1905i | 0.278297 | − | 1.03862i | |||||
−8.74365 | + | 3.81083i | −0.559755 | + | 0.243963i | |||||
0 | 0 | |||||||||
−5.68725 | + | 30.0264i | −0.362606 | + | 1.91441i | |||||
−7.05792 | + | 4.07489i | −0.449085 | + | 0.259279i | |||||
6.59717 | + | 2.03911i | 0.418921 | + | 0.129483i | |||||
−6.68826 | − | 3.86147i | −0.423851 | − | 0.244711i | |||||
−3.81800 | − | 10.9179i | −0.241472 | − | 0.690511i | |||||
2.22521 | − | 2.22521i | 0.140454 | − | 0.140454i | −0.633384 | − | 0.773838i | ||
0.773838 | + | 0.633384i | ||||||||
0 | 0 | |||||||||
28.4918 | + | 28.4918i | 1.79127 | + | 1.79127i | |||||
7.07889 | + | 3.41068i | 0.444169 | + | 0.214005i | |||||
4.01633 | − | 6.95648i | 0.251512 | − | 0.435632i | |||||
−14.4049 | − | 6.96421i | −0.900303 | − | 0.435263i | |||||
−1.40714 | − | 2.43723i | −0.0877748 | − | 0.152030i | 0.818795 | − | 0.574085i | ||
−0.906570 | + | 0.422055i | ||||||||
−34.5188 | + | 23.5248i | −2.14905 | + | 1.46459i | |||||
0 | 0 | |||||||||
−2.03932 | + | 5.19027i | −0.126474 | + | 0.321887i | |||||
−9.91754 | − | 2.65740i | −0.613881 | − | 0.164489i | |||||
12.6195 | − | 14.6584i | 0.779632 | − | 0.905598i | |||||
7.38346 | + | 4.26284i | 0.455283 | + | 0.262858i | 0.710059 | − | 0.704142i | ||
−0.254776 | + | 0.967000i | ||||||||
−30.3531 | + | 28.1311i | −1.86810 | + | 1.73135i | |||||
− | 3.67907i | − | 0.226003i | |||||||
0 | 0 | |||||||||
1.30762 | − | 1.30762i | 0.0800249 | − | 0.0800249i | |||||
−2.10579 | − | 1.55539i | −0.128631 | − | 0.0950104i | |||||
−15.7335 | + | 4.21577i | −0.959286 | + | 0.257040i | −0.704298 | − | 0.709904i | ||
−0.254988 | + | 0.966944i | ||||||||
−5.99518 | + | 0.448122i | −0.364855 | + | 0.0272719i | |||||
13.3688 | + | 23.1554i | 0.812094 | + | 1.40659i | 0.911396 | + | 0.411531i | ||
−0.0993018 | + | 0.995057i | ||||||||
9.53931 | + | 8.86479i | 0.578406 | + | 0.537507i | |||||
0 | 0 | |||||||||
−3.92288 | − | 5.75618i | −0.236990 | − | 0.347744i | |||||
5.73928 | − | 21.4193i | 0.346092 | − | 1.29163i | |||||
−42.2667 | − | 4.77870i | −2.54415 | − | 0.287644i | |||||
3.31891 | + | 12.3863i | 0.199414 | + | 0.744223i | 0.991080 | + | 0.133269i | ||
−0.791666 | + | 0.610954i | ||||||||
14.3177 | − | 5.00689i | 0.858716 | − | 0.300293i | |||||
11.5302i | 0.690296i | |||||||||
0 | 0 | |||||||||
28.4095i | 1.69477i | 0.530980 | + | 0.847384i | ||||||
−0.530980 | + | 0.847384i | ||||||||
14.4209 | + | 41.2379i | 0.858752 | + | 2.45568i | |||||
−1.95496 | − | 7.29602i | −0.116210 | − | 0.433703i | 0.883164 | − | 0.469064i | ||
−0.999375 | + | 0.0353608i | ||||||||
18.9438 | − | 15.0953i | 1.12411 | − | 0.895741i | |||||
1.65719 | − | 6.18472i | 0.0981635 | − | 0.366351i | |||||
−19.3230 | + | 13.1688i | −1.14260 | + | 0.778688i | |||||
0 | 0 | |||||||||
4.00724 | − | 26.4147i | 0.236129 | − | 1.55650i | |||||
3.20053 | + | 5.54348i | 0.188266 | + | 0.326087i | |||||
−0.203463 | − | 2.72201i | −0.0119477 | − | 0.159842i | |||||
−22.3993 | + | 6.00189i | −1.31307 | + | 0.351837i | |||||
−1.90717 | − | 12.6862i | −0.111609 | − | 0.742404i | |||||
8.64751 | − | 8.64751i | 0.505193 | − | 0.505193i | −0.407854 | − | 0.913047i | ||
0.913047 | + | 0.407854i | ||||||||
0 | 0 | |||||||||
− | 8.58773i | − | 0.499997i | |||||||
0.191366 | − | 5.03695i | 0.0111229 | − | 0.292767i | |||||
−21.8319 | − | 12.6046i | −1.26681 | − | 0.731396i | |||||
−4.08629 | − | 3.51790i | −0.236712 | − | 0.203786i | |||||
−23.2154 | − | 6.22055i | −1.34258 | − | 0.359744i | |||||
9.35284 | + | 21.4593i | 0.539986 | + | 1.23896i | |||||
0 | 0 | |||||||||
−1.72369 | − | 2.52922i | −0.0991869 | − | 0.145540i | |||||
−6.64080 | − | 11.5022i | −0.381504 | − | 0.660785i | |||||
9.17364 | + | 4.85740i | 0.526144 | + | 0.278591i | |||||
2.11707 | − | 3.66687i | 0.121223 | − | 0.209964i | |||||
−9.43853 | + | 19.5897i | −0.539565 | + | 1.11987i | |||||
−22.9681 | − | 22.9681i | −1.31086 | − | 1.31086i | −0.920782 | − | 0.390077i | ||
−0.390077 | − | 0.920782i | ||||||||
0 | 0 | |||||||||
37.7720 | − | 37.7720i | 2.14877 | − | 2.14877i | |||||
−2.89351 | + | 1.01186i | −0.164340 | + | 0.0574699i | |||||
22.9893 | + | 13.2729i | 1.30360 | + | 0.752635i | 0.981020 | − | 0.193906i | ||
0.322583 | + | 0.946541i | ||||||||
7.28959 | − | 23.5842i | 0.412692 | − | 1.33519i | |||||
17.4811 | − | 10.0927i | 0.988088 | − | 0.570473i | 0.0833856 | − | 0.996517i | ||
0.904702 | + | 0.426045i | ||||||||
−7.74756 | − | 1.46745i | −0.437220 | − | 0.0828132i | |||||
0 | 0 | |||||||||
−5.32642 | + | 13.5562i | −0.299634 | + | 0.762598i | |||||
−0.340449 | + | 1.27057i | −0.0191215 | + | 0.0713624i | −0.974827 | − | 0.222961i | ||
0.955706 | + | 0.294324i | ||||||||
1.21393 | + | 16.2404i | 0.0680735 | + | 0.910718i | |||||
5.72294 | − | 9.91241i | 0.320423 | − | 0.554989i | |||||
6.98044 | − | 1.31247i | 0.390218 | − | 0.0733692i | |||||
9.69693 | 0.541230 | |||||||||
0 | 0 | |||||||||
−5.97399 | − | 5.97399i | −0.332402 | − | 0.332402i | |||||
−1.70620 | + | 0.256501i | −0.0947891 | + | 0.0142500i | |||||
3.42338 | + | 12.7762i | 0.189895 | + | 0.708697i | |||||
10.7444 | − | 12.4804i | 0.595079 | − | 0.691227i | |||||
8.32473 | − | 4.80629i | 0.460359 | − | 0.265788i | |||||
21.4449 | − | 4.88171i | 1.18410 | − | 0.269547i | |||||
0 | 0 | |||||||||
3.41892 | − | 18.0505i | 0.188205 | − | 0.993648i | |||||
−14.2631 | − | 3.82179i | −0.783972 | − | 0.210065i | −0.155437 | − | 0.987846i | ||
−0.628535 | + | 0.777781i | ||||||||
−0.624417 | + | 5.52285i | −0.0342693 | + | 0.303106i | |||||
8.13002 | − | 2.17843i | 0.445522 | − | 0.119377i | |||||
7.65155 | − | 15.8808i | 0.418674 | − | 0.868961i | |||||
1.16216 | 0.0634955 | |||||||||
0 | 0 | |||||||||
−27.6212 | −1.50462 | −0.752312 | − | 0.658807i | ||||||
−0.752312 | + | 0.658807i | ||||||||
−1.92583 | + | 3.99708i | −0.104752 | + | 0.217412i | |||||
−8.99647 | + | 2.41060i | −0.488621 | + | 0.130926i | |||||
−5.74434 | − | 0.649458i | −0.311530 | − | 0.0352218i | |||||
−12.4157 | − | 3.32677i | −0.672346 | − | 0.180155i | |||||
−3.22568 | + | 17.0303i | −0.174425 | + | 0.920892i | |||||
0 | 0 | |||||||||
25.4459 | + | 16.0091i | 1.37195 | + | 0.863152i | |||||
16.3529 | − | 9.44133i | 0.880408 | − | 0.508304i | |||||
−18.1724 | + | 21.1086i | −0.976956 | + | 1.13480i | |||||
3.05763 | + | 11.4112i | 0.164142 | + | 0.612586i | 0.998148 | + | 0.0608309i | ||
−0.834006 | + | 0.551755i | ||||||||
1.79628 | + | 11.9486i | 0.0962908 | + | 0.640512i | |||||
7.97685 | + | 7.97685i | 0.426991 | + | 0.426991i | 0.887602 | − | 0.460611i | ||
−0.460611 | + | 0.887602i | ||||||||
0 | 0 | |||||||||
15.0369 | 0.802609 | |||||||||
27.2870 | + | 11.9363i | 1.45440 | + | 0.636207i | |||||
−5.38113 | + | 9.32039i | −0.286409 | + | 0.496074i | −0.972950 | − | 0.231017i | ||
0.686541 | + | 0.727091i | ||||||||
2.83356 | + | 37.9086i | 0.150602 | + | 2.01482i | |||||
−2.78307 | + | 10.3866i | −0.147710 | + | 0.551261i | |||||
−1.23868 | − | 0.486694i | −0.0656500 | − | 0.0257947i | |||||
0 | 0 | |||||||||
1.92103 | + | 0.363860i | 0.101530 | + | 0.0192306i | |||||
15.5646 | − | 8.98625i | 0.821470 | − | 0.474276i | −0.0294531 | − | 0.999566i | ||
0.850923 | + | 0.525290i | ||||||||
5.53590 | + | 10.4890i | 0.291767 | + | 0.552819i | |||||
10.6223 | + | 6.13282i | 0.559071 | + | 0.322780i | |||||
−30.2135 | + | 10.5657i | −1.58798 | + | 0.555318i | |||||
32.8568 | − | 32.8568i | 1.72453 | − | 1.72453i | |||||
0 | 0 | |||||||||
4.02695 | + | 4.02695i | 0.210780 | + | 0.210780i | |||||
−8.13543 | + | 16.8851i | −0.425246 | + | 0.882599i | |||||
−8.35453 | + | 14.4705i | −0.436103 | + | 0.755352i | −0.997385 | − | 0.0722722i | ||
0.561282 | + | 0.827625i | ||||||||
9.00071 | + | 29.2591i | 0.469195 | + | 1.52524i | |||||
18.3625 | + | 31.8048i | 0.955915 | + | 1.65569i | |||||
1.26015 | + | 1.84905i | 0.0655119 | + | 0.0961278i | |||||
0 | 0 | |||||||||
12.4389 | − | 5.42136i | 0.644926 | − | 0.281085i | |||||
21.2808 | + | 5.70218i | 1.10188 | + | 0.295248i | 0.763529 | − | 0.645773i | ||
0.338349 | + | 0.941021i | ||||||||
−18.3708 | − | 15.8155i | −0.949932 | − | 0.817799i | |||||
−19.6834 | − | 11.3642i | −1.01645 | − | 0.586845i | |||||
23.0597 | − | 21.3716i | 1.18921 | − | 1.10216i | |||||
6.82725i | 0.351621i | |||||||||
0 | 0 | |||||||||
23.6361 | − | 23.6361i | 1.21411 | − | 1.21411i | 0.244443 | − | 0.969664i | ||
0.969664 | − | 0.244443i | ||||||||
−4.55682 | + | 0.685047i | −0.233760 | + | 0.0351421i | |||||
14.9147 | − | 3.99639i | 0.764105 | − | 0.204741i | |||||
0.264717 | + | 3.54150i | 0.0135441 | + | 0.181199i | |||||
4.91665 | + | 8.51589i | 0.251229 | + | 0.435141i | 0.963864 | − | 0.266393i | ||
−0.712635 | + | 0.701535i | ||||||||
−30.3805 | + | 8.09683i | −1.55035 | + | 0.413189i | |||||
0 | 0 | |||||||||
11.7966 | − | 8.03948i | 0.600431 | − | 0.409199i | |||||
−12.9926 | + | 48.4890i | −0.660450 | + | 2.46483i | |||||
10.4004 | + | 13.0520i | 0.528002 | + | 0.662613i | |||||
3.78801 | + | 14.1371i | 0.192060 | + | 0.716777i | 0.993008 | + | 0.118044i | ||
−0.800948 | + | 0.598733i | ||||||||
3.61730 | + | 10.3440i | 0.183169 | + | 0.523788i | |||||
− | 24.9153i | − | 1.26002i | |||||||
0 | 0 | |||||||||
− | 38.0085i | − | 1.91728i | |||||||
25.6031 | − | 8.95340i | 1.28986 | − | 0.451066i | |||||
−1.67346 | − | 6.24545i | −0.0842011 | − | 0.314243i | |||||
−5.58722 | + | 49.4179i | −0.280768 | + | 2.48334i | |||||
−6.60834 | + | 24.6626i | −0.331663 | + | 1.23778i | 0.575779 | + | 0.817605i | ||
−0.907442 | + | 0.420177i | ||||||||
4.47003 | + | 6.55902i | 0.224062 | + | 0.328774i | |||||
0 | 0 | |||||||||
11.4683 | − | 12.3409i | 0.573414 | − | 0.617045i | |||||
−9.40322 | − | 16.2869i | −0.469575 | − | 0.813327i | 0.529820 | − | 0.848110i | ||
−0.999395 | + | 0.0347829i | ||||||||
−5.13009 | + | 0.383459i | −0.255866 | + | 0.0191252i | |||||
7.40572 | − | 1.98436i | 0.368905 | − | 0.0988478i | |||||
−5.67897 | + | 7.68857i | −0.282539 | + | 0.382521i | |||||
0.541596 | − | 0.541596i | 0.0269121 | − | 0.0269121i | |||||
0 | 0 | |||||||||
9.38288i | 0.465092i | |||||||||
25.5714 | + | 0.971519i | 1.26597 | + | 0.0480974i | |||||
25.6410 | + | 14.8038i | 1.26787 | + | 0.732003i | 0.974584 | − | 0.224023i | ||
0.293283 | + | 0.956026i | ||||||||
−6.36997 | + | 7.39918i | −0.314591 | + | 0.365419i | |||||
−13.2219 | − | 3.54278i | −0.652186 | − | 0.174753i | |||||
−35.7807 | − | 14.0587i | −1.76279 | − | 0.692622i | |||||
0 | 0 | |||||||||
−42.2400 | + | 28.7869i | −2.07598 | + | 1.41480i | |||||
−1.23367 | − | 2.13677i | −0.0605583 | − | 0.104890i | |||||
−17.6555 | + | 1.97219i | −0.865632 | + | 0.0966944i | |||||
14.9029 | − | 25.8126i | 0.729798 | − | 1.26405i | |||||
−17.4074 | − | 8.38706i | −0.851423 | − | 0.410225i | |||||
−1.15229 | − | 1.15229i | −0.0562929 | − | 0.0562929i | 0.678400 | − | 0.734693i | ||
−0.734693 | + | 0.678400i | ||||||||
0 | 0 | |||||||||
19.7275 | − | 19.7275i | 0.961459 | − | 0.961459i | −0.0378258 | − | 0.999284i | ||
0.999284 | + | 0.0378258i | ||||||||
−2.54852 | − | 7.28773i | −0.124060 | − | 0.354761i | |||||
45.4658 | + | 26.2497i | 2.21062 | + | 1.27630i | |||||
10.3654 | − | 5.47067i | 0.503389 | − | 0.265679i | |||||
−11.8747 | + | 6.85586i | −0.576008 | + | 0.332558i | |||||
8.85814 | − | 46.7674i | 0.429178 | − | 2.26589i | |||||
0 | 0 | |||||||||
−2.78827 | − | 6.39746i | −0.134776 | − | 0.309233i | |||||
−11.8928 | + | 44.3847i | −0.574192 | + | 2.14291i | |||||
−13.3085 | + | 0.994772i | −0.641793 | + | 0.0479722i | |||||
−10.1980 | + | 17.6634i | −0.491219 | + | 0.850817i | −0.999949 | − | 0.0101095i | ||
0.508730 | + | 0.860926i | ||||||||
−10.1772 | − | 16.2245i | −0.489651 | − | 0.780601i | |||||
−28.3107 | −1.36052 | −0.680262 | − | 0.732969i | ||||||
−0.680262 | + | 0.732969i | ||||||||
0 | 0 | |||||||||
−3.79281 | − | 3.79281i | −0.181851 | − | 0.181851i | |||||
−5.56461 | − | 4.11016i | −0.266496 | − | 0.196841i | |||||
−5.14020 | − | 19.1835i | −0.245889 | − | 0.917670i | |||||
−19.1048 | − | 16.4474i | −0.912862 | − | 0.785885i | |||||
3.95973 | − | 2.28615i | 0.188988 | − | 0.109112i | −0.402521 | − | 0.915411i | ||
0.591509 | + | 0.806299i | ||||||||
−12.8917 | + | 2.93467i | −0.614590 | + | 0.139905i | |||||
0 | 0 | |||||||||
14.2066 | + | 2.69085i | 0.675739 | + | 0.127991i | |||||
−9.74483 | − | 2.61112i | −0.462991 | − | 0.124058i | 0.0197808 | − | 0.999804i | ||
−0.482772 | + | 0.875746i | ||||||||
−6.17274 | − | 7.74645i | −0.292945 | − | 0.367630i | |||||
0.570670 | − | 0.152911i | 0.0270523 | − | 0.00724865i | |||||
−15.9699 | − | 7.69444i | −0.756195 | − | 0.364343i | |||||
−10.5956 | −0.501153 | |||||||||
0 | 0 | |||||||||
13.0695 | 0.616790 | 0.308395 | − | 0.951258i | ||||||
0.308395 | + | 0.951258i | ||||||||
25.3430 | + | 12.2105i | 1.19468 | + | 0.575609i | |||||
−39.5453 | + | 10.5961i | −1.86211 | + | 0.498952i | |||||
4.17723 | + | 5.24219i | 0.196480 | + | 0.246572i | |||||
−5.80958 | − | 1.55667i | −0.272958 | − | 0.0731388i | |||||
30.8600 | + | 5.84514i | 1.44833 | + | 0.274326i | |||||
0 | 0 | |||||||||
19.8890 | − | 4.52753i | 0.931390 | − | 0.212021i | |||||
−27.6363 | + | 15.9559i | −1.29277 | + | 0.746383i | −0.979145 | − | 0.203162i | ||
−0.313629 | + | 0.949546i | ||||||||
−11.0571 | − | 9.51910i | −0.516665 | − | 0.444798i | |||||
4.03448 | + | 15.0569i | 0.188313 | + | 0.702795i | |||||
−10.9309 | − | 8.07387i | −0.509658 | − | 0.376446i | |||||
11.2878 | + | 11.2878i | 0.525727 | + | 0.525727i | 0.919295 | − | 0.393568i | ||
−0.393568 | + | 0.919295i | ||||||||
0 | 0 | |||||||||
−21.0406 | −0.977839 | −0.488919 | − | 0.872329i | ||||||
−0.488919 | + | 0.872329i | ||||||||
7.36646 | − | 4.62079i | 0.341980 | − | 0.214515i | |||||
−3.01178 | + | 5.21656i | −0.139668 | + | 0.241912i | |||||
0.257630 | − | 0.0192571i | 0.0119345 | − | 0.000892068i | |||||
2.47257 | − | 9.22775i | 0.114417 | − | 0.427009i | −0.884826 | − | 0.465922i | ||
0.999243 | + | 0.0389127i | ||||||||
−11.8523 | − | 27.1941i | −0.547871 | − | 1.25705i | |||||
0 | 0 | |||||||||
−2.59741 | + | 13.7133i | −0.119809 | + | 0.632545i | |||||
−13.4192 | + | 7.74756i | −0.618323 | + | 0.356989i | |||||
24.1951 | − | 12.7697i | 1.11367 | − | 0.587773i | |||||
−48.4639 | − | 27.9806i | −2.22837 | − | 1.28655i | |||||
9.44785 | + | 27.0170i | 0.433954 | + | 1.24093i | |||||
−7.72848 | + | 7.72848i | −0.354607 | + | 0.354607i | |||||
0 | 0 | |||||||||
13.8388 | + | 13.8388i | 0.633634 | + | 0.633634i | |||||
−0.332637 | − | 0.160268i | −0.0152145 | − | 0.00733049i | |||||
−5.26638 | + | 9.12164i | −0.240627 | + | 0.416778i | −0.960893 | − | 0.276920i | ||
0.720266 | + | 0.693698i | ||||||||
8.71270 | − | 10.9040i | 0.397679 | − | 0.497695i | |||||
−2.79836 | − | 4.84690i | −0.127594 | − | 0.221000i | |||||
−8.80005 | + | 5.99731i | −0.400831 | + | 0.273170i | |||||
0 | 0 | |||||||||
−31.1247 | − | 12.2293i | −1.41476 | − | 0.555876i | |||||
−7.15617 | − | 1.91749i | −0.324945 | − | 0.0870688i | |||||
−15.4656 | + | 17.9644i | −0.701534 | + | 0.814881i | |||||
−2.99593 | − | 1.72970i | −0.135759 | − | 0.0783803i | 0.430582 | − | 0.902551i | ||
−0.566341 | + | 0.824171i | ||||||||
13.4791 | + | 0.512103i | 0.610169 | + | 0.0231818i | |||||
− | 32.3612i | − | 1.46342i | |||||||
0 | 0 | |||||||||
0.356972 | − | 0.356972i | 0.0161099 | − | 0.0161099i | −0.699006 | − | 0.715116i | ||
0.715116 | + | 0.699006i | ||||||||
25.6774 | − | 34.7638i | 1.15763 | − | 1.56727i | |||||
−6.83633 | + | 1.83179i | −0.307893 | + | 0.0824997i | |||||
11.4935 | − | 0.859104i | 0.517116 | − | 0.0386529i | |||||
−11.0387 | − | 19.1196i | −0.496154 | − | 0.859364i | |||||
−7.15339 | − | 6.64757i | −0.321197 | − | 0.298485i | |||||
0 | 0 | |||||||||
6.15079 | + | 9.02526i | 0.275623 | + | 0.404431i | |||||
5.96768 | − | 22.2717i | 0.267150 | − | 0.997018i | −0.693771 | − | 0.720196i | ||
0.960921 | − | 0.276822i | ||||||||
−1.83764 | + | 16.2536i | −0.0821819 | + | 0.726884i | |||||
−8.96553 | − | 33.4598i | −0.400550 | − | 1.49487i | |||||
−4.20095 | + | 1.46907i | −0.187498 | + | 0.0655680i | |||||
27.6867i | 1.23449i | 0.786772 | + | 0.617243i | ||||||
−0.786772 | + | 0.617243i | ||||||||
0 | 0 | |||||||||
− | 4.24323i | − | 0.188821i | |||||||
−18.8102 | − | 53.7896i | −0.836216 | − | 2.39124i | |||||
2.25655 | + | 8.42156i | 0.100217 | + | 0.374015i | |||||
−6.92518 | − | 8.69073i | −0.307255 | − | 0.385589i | |||||
8.79130 | − | 32.8096i | 0.389667 | − | 1.45426i | −0.441009 | − | 0.897503i | ||
0.830676 | − | 0.556756i | ||||||||
−9.38721 | + | 6.39746i | −0.415673 | + | 0.283284i | |||||
0 | 0 | |||||||||
14.0775 | + | 17.7151i | 0.622142 | + | 0.782904i | |||||
6.21267 | + | 10.7607i | 0.274296 | + | 0.475095i | |||||
0.296665 | + | 3.96891i | 0.0130853 | + | 0.175061i | |||||
16.4844 | − | 4.41699i | 0.726390 | − | 0.194636i | |||||
58.4192 | − | 8.78240i | 2.57176 | − | 0.386624i | |||||
−41.3836 | + | 41.3836i | −1.82005 | + | 1.82005i | |||||
0 | 0 | |||||||||
54.7336i | 2.40254i | |||||||||
5.78423 | − | 5.36080i | 0.253655 | − | 0.235087i | |||||
−16.9294 | − | 9.77420i | −0.741691 | − | 0.428216i | 0.0809928 | − | 0.996715i | ||
−0.822684 | + | 0.568499i | ||||||||
11.0042 | + | 9.47351i | 0.481639 | + | 0.414644i | |||||
−9.83797 | − | 2.63608i | −0.430184 | − | 0.115268i | 0.0372283 | − | 0.999307i | ||
−0.467413 | + | 0.884039i | ||||||||
−25.0758 | + | 10.9290i | −1.09544 | + | 0.477437i | |||||
0 | 0 | |||||||||
−6.79012 | − | 9.96337i | −0.296063 | − | 0.434424i | |||||
3.97399 | + | 6.88316i | 0.173110 | + | 0.299835i | |||||
55.9394 | − | 17.2081i | 2.43445 | − | 0.748888i | |||||
17.7847 | − | 30.8039i | 0.773246 | − | 1.33930i | |||||
−2.25839 | + | 4.68730i | −0.0980981 | + | 0.203603i | |||||
32.3027 | + | 32.3027i | 1.40182 | + | 1.40182i | |||||
0 | 0 | |||||||||
17.2676 | − | 17.2676i | 0.747944 | − | 0.747944i | |||||
−2.46864 | + | 0.863285i | −0.106829 | + | 0.0373580i | |||||
2.68294 | + | 1.54899i | 0.115993 | + | 0.0669688i | |||||
1.72810 | + | 3.27427i | 0.0746424 | + | 0.141427i | |||||
3.32733 | − | 1.92103i | 0.143585 | − | 0.0828988i | |||||
22.6330 | + | 4.28688i | 0.975777 | + | 0.184820i | |||||
0 | 0 | |||||||||
7.91320 | + | 3.10920i | 0.340530 | + | 0.133799i | |||||
−0.575849 | + | 2.14910i | −0.0247577 | + | 0.0923970i | −0.977199 | − | 0.212324i | ||
0.952442 | + | 0.304721i | ||||||||
−2.81852 | − | 37.7074i | −0.121066 | − | 1.61967i | |||||
−31.4484 | + | 54.4703i | −1.34958 | + | 2.33754i | |||||
−6.71188 | − | 17.1498i | −0.287769 | − | 0.735293i | |||||
3.07104 | 0.131549 | |||||||||
0 | 0 | |||||||||
−6.76891 | − | 6.76891i | −0.289418 | − | 0.289418i | 0.547432 | − | 0.836850i | ||
−0.836850 | + | 0.547432i | ||||||||
1.46451 | + | 9.74169i | 0.0625607 | + | 0.416144i | |||||
5.82957 | + | 21.7562i | 0.248800 | + | 0.928534i | |||||
−20.4603 | + | 23.7661i | −0.872430 | + | 1.01339i | |||||
−4.88571 | + | 2.82076i | −0.208138 | + | 0.120169i | |||||
50.9162 | + | 32.0336i | 2.16714 | + | 1.36344i | |||||
0 | 0 | |||||||||
3.37489 | − | 17.8181i | 0.143385 | − | 0.757017i | |||||
4.24725 | + | 1.13805i | 0.180286 | + | 0.0483074i | |||||
−21.3148 | − | 2.40987i | −0.903949 | − | 0.102201i | |||||
−4.53648 | + | 1.21555i | −0.192217 | + | 0.0515043i | −0.353643 | − | 0.935380i | ||
0.161426 | + | 0.986885i | ||||||||
7.07781 | − | 14.6900i | 0.299627 | − | 0.621878i | |||||
33.3799 | 1.41182 | |||||||||
0 | 0 | |||||||||
−47.6346 | −2.01114 | |||||||||
17.4391 | − | 36.1950i | 0.735625 | − | 1.52679i | |||||
25.6398 | − | 6.87017i | 1.08059 | − | 0.289543i | 0.325752 | − | 0.945455i | ||
0.754837 | + | 0.655912i | ||||||||
6.94092 | − | 61.3911i | 0.292266 | − | 2.58503i | |||||
−2.87421 | − | 0.770141i | −0.120919 | − | 0.0324001i | |||||
−1.98794 | + | 10.4955i | −0.0835592 | + | 0.441159i | |||||
0 | 0 | |||||||||
−33.4014 | + | 7.60348i | −1.40149 | + | 0.319035i | |||||
−20.3493 | + | 11.7487i | −0.853086 | + | 0.492530i | −0.861691 | − | 0.507433i | ||
0.00860467 | + | 0.999963i | ||||||||
−5.90782 | + | 6.86235i | −0.247451 | + | 0.287432i | |||||
9.13856 | + | 34.1056i | 0.382437 | + | 1.42727i | 0.842168 | + | 0.539215i | ||
−0.459731 | + | 0.888058i | ||||||||
32.7021 | − | 4.91624i | 1.36734 | − | 0.205558i | |||||
4.93467 | + | 4.93467i | 0.206149 | + | 0.206149i | |||||
0 | 0 | |||||||||
−32.2326 | −1.34419 | |||||||||
−21.3200 | + | 31.1937i | −0.888335 | + | 1.29974i | |||||
−7.20904 | + | 12.4864i | −0.300116 | + | 0.519817i | −0.976162 | − | 0.217043i | ||
0.676046 | + | 0.736860i | ||||||||
−0.674764 | − | 9.02728i | −0.0280665 | − | 0.375485i | |||||
7.26051 | − | 27.0966i | 0.301737 | − | 1.12610i | |||||
−1.41168 | + | 3.59286i | −0.0586169 | + | 0.149185i | |||||
0 | 0 | |||||||||
32.2220 | + | 6.10312i | 1.33565 | + | 0.252983i | |||||
−18.8944 | + | 10.9087i | −0.782524 | + | 0.451791i | |||||
−5.35758 | + | 17.3335i | −0.221698 | + | 0.717265i | |||||
11.4045 | + | 6.58440i | 0.471519 | + | 0.272232i | |||||
−16.3256 | + | 5.70906i | −0.674403 | + | 0.235839i | |||||
13.2110 | − | 13.2110i | 0.545276 | − | 0.545276i | −0.379795 | − | 0.925071i | ||
0.925071 | + | 0.379795i | ||||||||
0 | 0 | |||||||||
4.47981 | + | 4.47981i | 0.184587 | + | 0.184587i | |||||
−5.27156 | + | 10.9411i | −0.217027 | + | 0.450440i | |||||
26.6496 | − | 46.1585i | 1.09622 | − | 1.89871i | |||||
−3.33573 | + | 6.29983i | −0.137098 | + | 0.258921i | |||||
8.19296 | + | 14.1906i | 0.336445 | + | 0.582739i | 0.983761 | − | 0.179482i | ||
−0.647317 | + | 0.762221i | ||||||||
20.0775 | + | 29.4603i | 0.823788 | + | 1.20877i | |||||
0 | 0 | |||||||||
3.04666 | + | 6.99032i | 0.124796 | + | 0.286335i | |||||
15.0660 | + | 4.03691i | 0.616609 | + | 0.165220i | |||||
25.7590 | + | 22.1760i | 1.05336 | + | 0.906844i | |||||
29.4485 | + | 17.0021i | 1.20323 | + | 0.694687i | 0.961273 | − | 0.275599i | ||
0.241961 | + | 0.970286i | ||||||||
1.25684 | − | 33.0814i | 0.0513104 | − | 1.35054i | |||||
3.33457i | 0.136020i | 0.997685 | + | 0.0680099i | ||||||
−0.997685 | + | 0.0680099i | ||||||||
0 | 0 | |||||||||
−4.37145 | + | 4.37145i | −0.178019 | + | 0.178019i | |||||
0.643494 | + | 4.28042i | 0.0261834 | + | 0.174168i | |||||
14.3394 | − | 3.84222i | 0.582978 | − | 0.156208i | |||||
1.40007 | + | 18.7308i | 0.0568741 | + | 0.760886i | |||||
−5.23683 | − | 9.07046i | −0.212556 | − | 0.368159i | 0.739957 | − | 0.672654i | ||
−0.952514 | + | 0.304495i | ||||||||
−8.70592 | − | 11.8198i | −0.353072 | − | 0.479355i | |||||
0 | 0 | |||||||||
−4.94814 | + | 3.37220i | −0.200344 | + | 0.136536i | |||||
9.03517 | − | 33.7197i | 0.365524 | − | 1.36415i | |||||
24.0502 | − | 19.1643i | 0.972172 | − | 0.774673i | |||||
−3.29334 | − | 12.2909i | −0.133017 | − | 0.496425i | 0.866982 | − | 0.498340i | ||
−0.999998 | + | 0.00191560i | ||||||||
15.1635 | + | 43.3613i | 0.611948 | + | 1.74992i | |||||
19.1857i | 0.773643i | |||||||||
0 | 0 | |||||||||
2.93899i | 0.118319i | 0.998249 | + | 0.0591597i | ||||||
−0.998249 | + | 0.0591597i | ||||||||
−71.3094 | + | 24.9369i | −2.86848 | + | 1.00311i | |||||
−2.65281 | − | 9.90042i | −0.106625 | − | 0.397932i | 0.891899 | − | 0.452235i | ||
−0.998525 | + | 0.0543029i | ||||||||
4.30759 | + | 0.487019i | 0.172997 | + | 0.0195592i | |||||
−9.48400 | + | 35.3948i | −0.380580 | + | 1.42034i | |||||
−21.1419 | − | 31.0222i | −0.847711 | − | 1.24388i | |||||
0 | 0 | |||||||||
−23.7644 | + | 25.5726i | −0.951336 | + | 1.02372i | |||||
6.89868 | + | 11.9489i | 0.275947 | + | 0.477954i | |||||
−28.4670 | + | 2.12783i | −1.13777 | + | 0.0850452i | |||||
−36.6762 | + | 9.82735i | −1.46470 | + | 0.392466i | |||||
8.96995 | + | 6.62543i | 0.357940 | + | 0.264383i | |||||
4.10253 | − | 4.10253i | 0.163579 | − | 0.163579i | |||||
0 | 0 | |||||||||
9.59471i | 0.381959i | 0.981594 | + | 0.190980i | ||||||
−0.981594 | + | 0.190980i | ||||||||
15.1076 | − | 14.0016i | 0.600947 | − | 0.556955i | |||||
−13.1387 | − | 7.58562i | −0.522216 | − | 0.301501i | |||||
1.21369 | − | 1.40978i | 0.0482016 | − | 0.0559896i | |||||
4.76498 | + | 1.27677i | 0.189092 | + | 0.0506672i | |||||
8.42256 | − | 21.4362i | 0.333976 | − | 0.850000i | |||||
0 | 0 | |||||||||
−13.3760 | + | 9.11585i | −0.529561 | + | 0.360900i | |||||
−28.6005 | − | 49.5374i | −1.13142 | − | 1.95967i | |||||
−9.69905 | − | 2.61279i | −0.383389 | − | 0.103279i | |||||
7.91443 | − | 13.7082i | 0.312601 | − | 0.541441i | −0.666324 | − | 0.745663i | ||
0.978925 | + | 0.204222i | ||||||||
−12.3543 | − | 5.95244i | −0.487586 | − | 0.234924i | |||||
−10.3033 | − | 10.3033i | −0.406321 | − | 0.406321i | 0.474132 | − | 0.880454i | ||
−0.880454 | + | 0.474132i | ||||||||
0 | 0 | |||||||||
−18.5439 | + | 18.5439i | −0.730164 | + | 0.730164i | |||||
3.94401 | + | 11.2783i | 0.155175 | + | 0.443737i | |||||
9.11681 | + | 5.26359i | 0.358419 | + | 0.206933i | 0.668387 | − | 0.743814i | ||
−0.309968 | + | 0.950747i | ||||||||
2.33123 | + | 0.720557i | 0.0915795 | + | 0.0283061i | |||||
−44.1035 | + | 25.4631i | −1.73121 | + | 0.999516i | |||||
3.48112 | − | 18.3789i | 0.136541 | − | 0.720880i | |||||
0 | 0 | |||||||||
−21.3500 | + | 9.30518i | −0.836130 | + | 0.364419i | |||||
8.64357 | − | 32.2582i | 0.338249 | − | 1.26236i | −0.562054 | − | 0.827100i | ||
0.900304 | − | 0.435263i | ||||||||
−13.5564 | + | 1.01330i | −0.530098 | + | 0.0396233i | |||||
6.07151 | − | 10.5162i | 0.237233 | − | 0.410900i | |||||
−30.3184 | − | 6.94441i | −1.18374 | − | 0.271134i | |||||
−30.2947 | −1.18191 | |||||||||
0 | 0 | |||||||||
−14.9087 | − | 14.9087i | −0.580759 | − | 0.580759i | 0.354353 | − | 0.935112i | ||
−0.935112 | + | 0.354353i | ||||||||
−15.4361 | + | 20.8985i | −0.600851 | + | 0.813472i | |||||
−8.12957 | − | 30.3400i | −0.316204 | − | 1.18009i | −0.922864 | − | 0.385126i | ||
0.606660 | − | 0.794961i | ||||||||
15.8259 | + | 13.6245i | 0.615089 | + | 0.529532i | |||||
24.6065 | − | 14.2066i | 0.955639 | − | 0.551739i | |||||
4.18572 | − | 6.65306i | 0.162438 | − | 0.258189i | |||||
0 | 0 | |||||||||
−11.6952 | − | 2.21518i | −0.453181 | − | 0.0858364i | |||||
−16.0704 | − | 4.30606i | −0.622249 | − | 0.166731i | |||||
−19.4968 | + | 15.5360i | −0.754355 | + | 0.601106i | |||||
−33.6474 | + | 9.01579i | −1.30088 | + | 0.348571i | |||||
−1.48064 | − | 0.713389i | −0.0572022 | − | 0.0275606i | |||||
−25.1090 | −0.969321 | |||||||||
0 | 0 | |||||||||
45.9274 | 1.77037 | 0.885186 | − | 0.465237i | ||||||
0.885186 | + | 0.465237i | ||||||||
35.1907 | + | 16.9552i | 1.35549 | + | 0.653091i | |||||
19.4789 | − | 5.21936i | 0.749744 | − | 0.200893i | |||||
4.90720 | − | 3.91029i | 0.188738 | − | 0.150396i | |||||
42.3069 | + | 11.3361i | 1.62599 | + | 0.435682i | 0.952752 | − | 0.303748i | ||
0.673234 | + | 0.739430i | ||||||||
12.9417 | + | 2.45126i | 0.497021 | + | 0.0941400i | |||||
0 | 0 | |||||||||
6.91987 | + | 4.35359i | 0.265365 | + | 0.166953i | |||||
53.4510 | − | 30.8600i | 2.04825 | − | 1.18256i | |||||
13.7760 | + | 11.8598i | 0.527510 | + | 0.454135i | |||||
−4.61649 | − | 17.2290i | −0.176645 | − | 0.659248i | −0.996266 | − | 0.0863413i | ||
0.819621 | − | 0.572907i | ||||||||
14.5637 | − | 19.7173i | 0.556855 | − | 0.753908i | |||||
−3.09228 | − | 3.09228i | −0.118150 | − | 0.118150i | |||||
0 | 0 | |||||||||
−28.6706 | −1.09385 | |||||||||
−22.5920 | − | 36.0162i | −0.861313 | − | 1.37310i | |||||
6.50682 | − | 11.2701i | 0.247890 | − | 0.429358i | |||||
−26.6298 | + | 1.99050i | −1.01378 | + | 0.0757771i | |||||
−8.45153 | + | 31.5415i | −0.321511 | + | 1.19990i | 0.596262 | + | 0.802790i | ||
−0.917773 | + | 0.397106i | ||||||||
36.1100 | − | 15.7382i | 1.37269 | − | 0.598275i | |||||
0 | 0 | |||||||||
3.10920 | − | 16.4153i | 0.118024 | − | 0.623117i | |||||
8.24664 | − | 4.76120i | 0.312813 | − | 0.180603i | |||||
5.04607 | − | 16.3257i | 0.191271 | − | 0.618823i | |||||
21.9236 | + | 12.6576i | 0.830416 | + | 0.479441i | |||||
−5.26629 | − | 15.0594i | −0.199332 | − | 0.570008i | |||||
0.358977 | − | 0.358977i | 0.0135778 | − | 0.0135778i | |||||
0 | 0 | |||||||||
23.1180 | + | 23.1180i | 0.873153 | + | 0.873153i | 0.992815 | − | 0.119662i | ||
−0.119662 | + | 0.992815i | ||||||||
−19.1577 | − | 9.23036i | −0.723059 | − | 0.348378i | |||||
2.31235 | − | 4.00511i | 0.0872121 | − | 0.151056i | |||||
−27.4378 | − | 31.9575i | −1.03410 | − | 1.20444i | |||||
13.7133 | + | 23.7521i | 0.516471 | + | 0.894554i | |||||
12.5771 | − | 8.57140i | 0.473346 | − | 0.322589i | |||||
0 | 0 | |||||||||
19.6600 | − | 50.0366i | 0.738870 | − | 1.88049i | |||||
40.4313 | + | 10.8335i | 1.51843 | + | 0.406862i | 0.919224 | − | 0.393734i | ||
0.599205 | + | 0.800596i | ||||||||
9.92152 | − | 11.5246i | 0.372348 | − | 0.432509i | |||||
29.7870 | + | 17.1975i | 1.11710 | + | 0.644957i | |||||
1.27938 | + | 1.38043i | 0.0479468 | + | 0.0517339i | |||||
18.6836i | 0.699707i | |||||||||
0 | 0 | |||||||||
−10.3805 | + | 10.3805i | −0.388210 | + | 0.388210i | |||||
−2.22413 | − | 1.64280i | −0.0831196 | − | 0.0613942i | |||||
−0.700843 | + | 0.187790i | −0.0261735 | + | 0.00701316i | |||||
−25.3462 | + | 1.89456i | −0.945913 | + | 0.0707043i | |||||
−23.9987 | − | 41.5669i | −0.894999 | − | 1.55018i | −0.833806 | − | 0.552058i | ||
−0.0611931 | − | 0.998126i | ||||||||
−0.614326 | − | 16.7617i | −0.0228946 | − | 0.624670i | |||||
0 | 0 | |||||||||
−9.76873 | − | 14.3340i | −0.363555 | − | 0.533456i | |||||
−5.41621 | + | 20.2136i | −0.201431 | + | 0.751751i | |||||
44.9790 | + | 5.08536i | 1.67163 | + | 0.188996i | |||||
2.36977 | + | 8.84409i | 0.0880109 | + | 0.328461i | |||||
−62.0301 | + | 21.6920i | −2.30215 | + | 0.805064i | |||||
− | 35.3027i | − | 1.30931i | −0.755930 | − | 0.654653i | ||||
0.755930 | − | 0.654653i | ||||||||
0 | 0 | |||||||||
43.9928i | 1.62936i | |||||||||
−2.65858 | − | 7.60245i | −0.0983984 | − | 0.281379i | |||||
8.95601 | + | 33.4243i | 0.331250 | + | 1.23624i | |||||
20.7298 | − | 16.5185i | 0.766195 | − | 0.610541i | |||||
2.32031 | − | 8.65952i | 0.0857026 | − | 0.319847i | −0.909744 | − | 0.415170i | ||
0.995446 | + | 0.0953238i | ||||||||
19.5267 | − | 13.3076i | 0.720744 | − | 0.491193i | |||||
0 | 0 | |||||||||
6.49334 | − | 42.8025i | 0.239348 | − | 1.57772i | |||||
−3.44587 | − | 5.96842i | −0.126930 | − | 0.219850i | |||||
−3.87135 | − | 51.7926i | −0.142506 | − | 1.90651i | |||||
−1.14785 | + | 0.307565i | −0.0422243 | + | 0.0113140i | −0.279869 | − | 0.960038i | ||
0.237645 | + | 0.971352i | ||||||||
−0.470443 | − | 3.12932i | −0.0172938 | − | 0.115036i | |||||
16.0148 | − | 16.0148i | 0.588319 | − | 0.588319i | |||||
0 | 0 | |||||||||
− | 46.9253i | − | 1.72152i | −0.509008 | − | 0.860762i | ||||
0.509008 | − | 0.860762i | ||||||||
−19.1756 | − | 0.728527i | −0.703011 | − | 0.0267091i | |||||
−2.93157 | − | 1.69254i | −0.107404 | − | 0.0620099i | |||||
−23.6124 | − | 20.3280i | −0.864513 | − | 0.744262i | |||||
12.6779 | + | 3.39703i | 0.463860 | + | 0.124291i | |||||
13.6969 | + | 31.4265i | 0.500809 | + | 1.14907i | |||||
0 | 0 | |||||||||
18.1016 | + | 26.5611i | 0.660978 | + | 0.969875i | |||||
5.75909 | + | 9.97504i | 0.210152 | + | 0.363995i | 0.951762 | − | 0.306837i | ||
−0.741610 | + | 0.670832i | ||||||||
−42.4980 | + | 13.0733i | −1.54974 | + | 0.476733i | |||||
−4.37267 | + | 7.57369i | −0.159349 | + | 0.276000i | |||||
4.19090 | − | 8.69823i | 0.152623 | − | 0.316771i | |||||
−1.35872 | − | 1.35872i | −0.0494491 | − | 0.0494491i | |||||
0 | 0 | |||||||||
−14.6371 | + | 14.6371i | −0.531994 | + | 0.531994i | −0.921165 | − | 0.389172i | ||
0.389172 | + | 0.921165i | ||||||||
−44.6225 | + | 15.6045i | −1.62076 | + | 0.566781i | |||||
−96.9745 | − | 55.9882i | −3.51995 | − | 2.03224i | |||||
6.22611 | + | 1.92442i | 0.225845 | + | 0.0698060i | |||||
5.84549 | − | 3.37489i | 0.211899 | − | 0.122340i | −0.390295 | − | 0.920690i | ||
0.602194 | + | 0.798350i | ||||||||
−21.4552 | − | 4.06380i | −0.777240 | − | 0.147216i | |||||
0 | 0 | |||||||||
1.83668 | − | 4.67452i | 0.0664488 | − | 0.169118i | |||||
−3.53326 | + | 13.1863i | −0.127745 | + | 0.476753i | |||||
−1.03657 | − | 13.8677i | −0.0374528 | − | 0.501060i | |||||
15.1883 | − | 26.3069i | 0.548418 | − | 0.949887i | |||||
43.6764 | + | 8.33332i | 1.57604 | + | 0.300703i | |||||
2.23508 | 0.0805990 | 0.0402995 | − | 0.999188i | ||||||
0.0402995 | + | 0.999188i | ||||||||
0 | 0 | |||||||||
5.53022 | + | 5.53022i | 0.199166 | + | 0.199166i | |||||
−19.9644 | + | 3.00134i | −0.718535 | + | 0.108020i | |||||
−6.08368 | − | 22.7046i | −0.218815 | − | 0.816627i | −0.984789 | − | 0.173756i | ||
0.765974 | − | 0.642871i | ||||||||
46.3180 | − | 53.8016i | 1.66487 | − | 1.93386i | |||||
8.90466 | − | 5.14111i | 0.319865 | − | 0.184674i | |||||
−5.23868 | − | 23.0131i | −0.188058 | − | 0.826121i | |||||
0 | 0 | |||||||||
3.85191 | − | 20.3365i | 0.138098 | − | 0.729099i | |||||
19.4914 | + | 5.22270i | 0.698351 | + | 0.187123i | |||||
1.74104 | − | 15.3992i | 0.0623393 | − | 0.551379i | |||||
61.5935 | − | 16.5039i | 2.20399 | − | 0.590557i | |||||
−15.2942 | + | 31.7432i | −0.546920 | + | 1.13514i | |||||
10.4090 | 0.371987 | |||||||||
0 | 0 | |||||||||
−4.95040 | −0.176688 | |||||||||
−23.3315 | + | 48.4246i | −0.832206 | + | 1.72725i | |||||
5.48157 | − | 1.46878i | 0.195397 | − | 0.0523564i | −0.159793 | − | 0.987150i | ||
0.355190 | + | 0.934794i | ||||||||
−38.1155 | − | 4.30936i | −1.35781 | − | 0.153515i | |||||
−22.8857 | − | 6.13220i | −0.814752 | − | 0.218312i | |||||
−1.70169 | + | 8.98424i | −0.0605435 | + | 0.319645i | |||||
0 | 0 | |||||||||
37.4535 | − | 59.5309i | 1.33085 | − | 2.11534i | |||||
12.9705 | − | 7.48852i | 0.460596 | − | 0.265925i | |||||
23.5584 | − | 27.3648i | 0.836058 | − | 0.971141i | |||||
2.64621 | + | 9.87581i | 0.0938516 | + | 0.350259i | |||||
−1.66877 | − | 11.1004i | −0.0591480 | − | 0.393444i | |||||
−26.5404 | − | 26.5404i | −0.940110 | − | 0.940110i | 0.0581955 | − | 0.998305i | ||
−0.998305 | + | 0.0581955i | ||||||||
0 | 0 | |||||||||
36.1888 | 1.28027 | |||||||||
−22.1865 | + | 8.68308i | −0.784412 | + | 0.306993i | |||||
−1.57140 | + | 2.72174i | −0.0555226 | + | 0.0961681i | |||||
1.98247 | + | 26.5223i | 0.0700034 | + | 0.936536i | |||||
8.74080 | − | 32.6211i | 0.308456 | − | 1.15117i | |||||
6.77135 | + | 2.66055i | 0.238807 | + | 0.0938304i | |||||
0 | 0 | |||||||||
−10.6533 | − | 2.01783i | −0.375247 | − | 0.0710749i | |||||
39.2015 | − | 22.6330i | 1.37996 | − | 0.796718i | |||||
11.9549 | − | 6.30956i | 0.420571 | − | 0.221969i | |||||
−5.44560 | − | 3.14402i | −0.191457 | − | 0.110538i | 0.401207 | − | 0.915987i | ||
−0.592665 | + | 0.805449i | ||||||||
−1.02248 | + | 0.357560i | −0.0359261 | + | 0.0125634i | |||||
−28.2328 | + | 28.2328i | −0.991388 | + | 0.991388i | −0.999963 | − | 0.00857565i | ||
0.00857565 | + | 0.999963i | ||||||||
0 | 0 | |||||||||
−52.5409 | − | 52.5409i | −1.84269 | − | 1.84269i | |||||
5.75967 | − | 11.9542i | 0.201876 | − | 0.418995i | |||||
5.16940 | − | 8.95366i | 0.181076 | − | 0.313633i | |||||
−31.9827 | − | 16.9347i | −1.11962 | − | 0.592833i | |||||
13.7913 | + | 23.8873i | 0.482497 | + | 0.835709i | |||||
−23.5805 | − | 34.6005i | −0.824472 | − | 1.20978i | |||||
0 | 0 | |||||||||
12.6576 | − | 5.51669i | 0.442023 | − | 0.192651i | |||||
16.3630 | + | 4.38445i | 0.571072 | + | 0.153018i | 0.532788 | − | 0.846249i | ||
0.0382839 | + | 0.999267i | ||||||||
14.6705 | + | 12.6299i | 0.511692 | + | 0.440517i | |||||
−32.3363 | − | 18.6694i | −1.12717 | − | 0.650774i | −0.183951 | − | 0.982935i | ||
−0.943223 | + | 0.332162i | ||||||||
36.9563 | + | 39.8753i | 1.28743 | + | 1.38912i | |||||
61.6244i | 2.14549i | |||||||||
0 | 0 | |||||||||
−5.32642 | + | 5.32642i | −0.185218 | + | 0.185218i | −0.793625 | − | 0.608407i | ||
0.608407 | + | 0.793625i | ||||||||
71.4865 | − | 10.7469i | 2.48433 | − | 0.373480i | |||||
−7.89725 | + | 2.11606i | −0.274283 | + | 0.0734939i | −0.393339 | − | 0.919394i | ||
0.119056 | + | 0.992888i | ||||||||
0.260092 | + | 3.47963i | 0.00902794 | + | 0.120780i | |||||
−17.8181 | − | 30.8618i | −0.618102 | − | 1.07058i | |||||
23.7045 | + | 8.32514i | 0.821806 | + | 0.288622i | |||||
0 | 0 | |||||||||
−34.8320 | + | 23.7383i | −1.20613 | + | 0.821989i | |||||
2.86432 | − | 10.6898i | 0.0991239 | − | 0.369935i | |||||
17.0294 | + | 21.3710i | 0.588975 | + | 0.739131i | |||||
−3.02540 | − | 11.2909i | −0.104573 | − | 0.390272i | |||||
0.760736 | + | 2.17539i | 0.0262792 | + | 0.0751477i | |||||
7.20540i | 0.248758i | 0.992235 | + | 0.124379i | ||||||
−0.992235 | + | 0.124379i | ||||||||
0 | 0 | |||||||||
− | 24.2740i | − | 0.837033i | |||||||
−37.2434 | + | 13.0240i | −1.28349 | + | 0.448837i | |||||
−20.4339 | − | 76.2603i | −0.703780 | − | 2.62654i | |||||
−1.22663 | + | 10.8493i | −0.0422223 | + | 0.373448i | |||||
−0.720926 | + | 2.69053i | −0.0248006 | + | 0.0925571i | |||||
−41.8122 | − | 61.3524i | −1.43753 | − | 2.10934i | |||||
0 | 0 | |||||||||
−16.5642 | + | 0.607087i | −0.568816 | + | 0.0208475i | |||||
10.4955 | + | 18.1787i | 0.360205 | + | 0.623893i | |||||
19.3374 | − | 1.44541i | 0.663266 | − | 0.0495772i | |||||
13.1739 | − | 3.52994i | 0.451596 | − | 0.121005i | |||||
−39.9938 | + | 54.1462i | −1.37016 | + | 1.85502i | |||||
13.0316 | − | 13.0316i | 0.446192 | − | 0.446192i | −0.447894 | − | 0.894086i | ||
0.894086 | + | 0.447894i | ||||||||
0 | 0 | |||||||||
10.8817i | 0.372147i | |||||||||
−0.374690 | + | 9.86222i | −0.0128066 | + | 0.337084i | |||||
−11.8030 | − | 6.81447i | −0.403183 | − | 0.232778i | 0.284674 | − | 0.958625i | ||
−0.687856 | + | 0.725847i | ||||||||
42.3975 | − | 49.2477i | 1.44743 | − | 1.68129i | |||||
−43.5800 | − | 11.6772i | −1.48693 | − | 0.398422i | −0.578231 | − | 0.815873i | ||
−0.908699 | + | 0.417451i | ||||||||
17.5663 | + | 6.90201i | 0.599005 | + | 0.235357i | |||||
0 | 0 | |||||||||
23.8353 | − | 16.2440i | 0.811835 | − | 0.553272i | |||||
25.5923 | + | 44.3271i | 0.871171 | + | 1.50891i | 0.860786 | + | 0.508966i | ||
0.0103847 | + | 0.999946i | ||||||||
3.00684 | + | 26.9180i | 0.102295 | + | 0.915768i | |||||
−8.74318 | + | 15.1436i | −0.297277 | + | 0.514899i | |||||
36.0691 | + | 17.3784i | 1.22568 | + | 0.590544i | |||||
−12.5785 | − | 12.5785i | −0.427188 | − | 0.427188i | |||||
0 | 0 | |||||||||
−27.1125 | + | 27.1125i | −0.919727 | + | 0.919727i | |||||
2.50400 | + | 7.16042i | 0.0848936 | + | 0.242761i | |||||
3.56006 | + | 2.05540i | 0.120628 | + | 0.0696445i | |||||
4.56655 | + | 8.65235i | 0.154643 | + | 0.293006i | |||||
34.1305 | − | 19.7053i | 1.15514 | − | 0.666922i | |||||
−5.22690 | + | 27.5959i | −0.176802 | + | 0.933445i | |||||
0 | 0 | |||||||||
14.2442 | + | 32.6821i | 0.481266 | + | 1.10423i | |||||
7.83642 | − | 29.2459i | 0.264617 | − | 0.987564i | −0.697867 | − | 0.716227i | ||
0.962484 | − | 0.271337i | ||||||||
−6.44823 | + | 0.481987i | −0.217617 | + | 0.0162663i | |||||
−16.9929 | + | 29.4326i | −0.573156 | + | 0.992735i | |||||
18.2261 | + | 4.17467i | 0.614402 | + | 0.140728i | |||||
−29.7369 | −1.00186 | −0.500930 | − | 0.865488i | ||||||
−0.500930 | + | 0.865488i | ||||||||
0 | 0 | |||||||||
14.3040 | + | 14.3040i | 0.481368 | + | 0.481368i | 0.905568 | − | 0.424200i | ||
−0.424200 | + | 0.905568i | ||||||||
−16.4481 | − | 12.1490i | −0.553208 | − | 0.408614i | |||||
6.17683 | + | 23.0522i | 0.207632 | + | 0.774893i | |||||
10.8125 | + | 9.30853i | 0.363254 | + | 0.312726i | |||||
−49.1086 | + | 28.3528i | −1.64890 | + | 0.951995i | −0.671395 | + | 0.741099i | ||
−0.977509 | + | 0.210896i | ||||||||
3.10920 | + | 13.6584i | 0.104338 | + | 0.458347i | |||||
0 | 0 | |||||||||
−0.820923 | − | 0.155490i | −0.0275174 | − | 0.00521203i | |||||
−4.38731 | − | 1.17558i | −0.146980 | − | 0.0393833i | |||||
15.6231 | + | 19.6061i | 0.523100 | + | 0.656462i | |||||
27.8634 | − | 7.46599i | 0.932415 | − | 0.249840i | |||||
13.4992 | + | 6.50406i | 0.451481 | + | 0.217528i | |||||
1.22747 | 0.0410298 | |||||||||
0 | 0 | |||||||||
66.7919 | 2.23012 | |||||||||
−16.6512 | − | 8.02271i | −0.555657 | − | 0.267721i | |||||
5.12646 | − | 1.37363i | 0.170977 | − | 0.0458132i | |||||
−24.7927 | − | 31.1135i | −0.826423 | − | 1.03712i | |||||
13.0309 | + | 3.49163i | 0.434124 | + | 0.116323i | |||||
56.8869 | + | 10.7749i | 1.89413 | + | 0.358763i | |||||
0 | 0 | |||||||||
−2.10406 | − | 9.24297i | −0.0699802 | − | 0.307417i | |||||
−17.4022 | + | 10.0472i | −0.578470 | + | 0.333980i | |||||
6.44610 | + | 5.54947i | 0.214157 | + | 0.184369i | |||||
−5.58142 | − | 20.8301i | −0.185328 | − | 0.691653i | −0.994560 | − | 0.104164i | ||
0.809232 | − | 0.587489i | ||||||||
−35.7290 | − | 26.3903i | −1.18571 | − | 0.875793i | |||||
15.9609 | + | 15.9609i | 0.529389 | + | 0.529389i | |||||
0 | 0 | |||||||||
−7.88055 | −0.261094 | −0.130547 | − | 0.991442i | ||||||
−0.130547 | + | 0.991442i | ||||||||
−28.1188 | − | 6.44058i | −0.931105 | − | 0.213269i | |||||
−7.31580 | + | 12.6713i | −0.242118 | + | 0.419360i | |||||
45.0044 | − | 3.36395i | 1.48861 | − | 0.111270i | |||||
−3.04546 | + | 11.3658i | −0.100680 | + | 0.375742i | |||||
8.24398 | + | 18.9151i | 0.272389 | + | 0.624974i | |||||
0 | 0 | |||||||||
4.10253 | − | 21.6597i | 0.135404 | − | 0.714877i | |||||
−1.83468 | + | 1.05925i | −0.0605206 | + | 0.0349416i | −0.529955 | − | 0.848026i | ||
0.469434 | + | 0.882967i | ||||||||
8.97039 | + | 16.9964i | 0.295745 | + | 0.560355i | |||||
78.1739 | + | 45.1337i | 2.57592 | + | 1.48721i | |||||
−7.45220 | − | 21.3102i | −0.245425 | − | 0.701816i | |||||
−26.8951 | + | 26.8951i | −0.885264 | + | 0.885264i | |||||
0 | 0 | |||||||||
−5.30740 | − | 5.30740i | −0.174506 | − | 0.174506i | |||||
26.8066 | + | 12.9157i | 0.880921 | + | 0.424437i | |||||
−45.3916 | + | 78.6205i | −1.49085 | + | 2.58224i | |||||
−12.2217 | + | 1.36521i | −0.401196 | + | 0.0448151i | |||||
−16.1033 | − | 27.8918i | −0.528333 | − | 0.915099i | −0.999454 | − | 0.0330307i | ||
0.471122 | − | 0.882068i | ||||||||
7.03932 | − | 4.79736i | 0.230829 | − | 0.157312i | |||||
0 | 0 | |||||||||
−0.340053 | − | 0.133611i | −0.0111388 | − | 0.00437658i | |||||
−71.2574 | − | 19.0934i | −2.33286 | − | 0.625088i | |||||
−8.81460 | + | 10.2388i | −0.288422 | + | 0.335023i | |||||
−13.1795 | − | 7.60919i | −0.431016 | − | 0.248847i | |||||
−1.59272 | + | 41.9219i | −0.0520596 | + | 1.37026i | |||||
− | 17.8409i | − | 0.582836i | −0.956596 | − | 0.291418i | ||||
0.956596 | − | 0.291418i | ||||||||
0 | 0 | |||||||||
−39.6655 | + | 39.6655i | −1.29444 | + | 1.29444i | |||||
11.7271 | − | 15.8769i | 0.382495 | − | 0.517847i | |||||
−27.3429 | + | 7.32652i | −0.891354 | + | 0.238838i | −0.675300 | − | 0.737544i | ||
−0.216055 | + | 0.976381i | ||||||||
21.8525 | − | 1.63341i | 0.711992 | − | 0.0532193i | |||||
29.7547 | + | 51.5366i | 0.968946 | + | 1.67826i | |||||
−38.6643 | + | 1.41707i | −1.25842 | + | 0.0461217i | |||||
0 | 0 | |||||||||
44.5693 | + | 65.3981i | 1.44907 | + | 2.12627i | |||||
6.15356 | − | 22.9654i | 0.199964 | − | 0.746275i | −0.790962 | − | 0.611865i | ||
0.990926 | − | 0.134410i | ||||||||
4.54735 | − | 40.2204i | 0.147691 | − | 1.30630i | |||||
5.21373 | + | 19.4579i | 0.169245 | + | 0.631630i | |||||
14.5905 | − | 5.10232i | 0.473380 | − | 0.165541i | |||||
− | 3.65550i | − | 0.118538i | |||||||
0 | 0 | |||||||||
30.3038i | 0.981636i | 0.871262 | + | 0.490818i | ||||||
−0.871262 | + | 0.490818i | ||||||||
−9.13632 | − | 26.1261i | −0.295799 | − | 0.845865i | |||||
0.577052 | + | 2.15359i | 0.0186730 | + | 0.0696884i | |||||
0.325414 | + | 0.408377i | 0.0105247 | + | 0.0132079i | |||||
−8.23259 | + | 30.7244i | −0.266122 | + | 0.993180i | |||||
12.3089 | − | 8.38862i | 0.397683 | − | 0.271024i | |||||
0 | 0 | |||||||||
−17.7938 | + | 8.54386i | −0.574291 | + | 0.275752i | |||||
12.5200 | + | 21.6852i | 0.403870 | + | 0.699523i | |||||
0.589974 | + | 7.89294i | 0.0190215 | + | 0.254478i | |||||
−15.9184 | + | 4.26532i | −0.512962 | + | 0.137448i | |||||
14.8931 | − | 2.23894i | 0.479674 | − | 0.0721115i | |||||
6.33726 | − | 6.33726i | 0.204004 | − | 0.204004i | |||||
0 | 0 | |||||||||
− | 13.3675i | − | 0.429869i | −0.976629 | − | 0.214934i | ||||
0.976629 | − | 0.214934i | ||||||||
32.1473 | + | 34.6865i | 1.03325 | + | 1.11487i | |||||
20.3330 | + | 11.7393i | 0.653190 | + | 0.377119i | |||||
7.94024 | + | 6.83577i | 0.254946 | + | 0.219483i | |||||
12.7754 | + | 3.42316i | 0.409982 | + | 0.109854i | 0.457914 | − | 0.888996i | ||
−0.0479326 | + | 0.998851i | ||||||||
30.7313 | − | 13.3939i | 0.985706 | − | 0.429610i | |||||
0 | 0 | |||||||||
2.75518 | + | 4.04277i | 0.0882816 | + | 0.129539i | |||||
−18.3789 | − | 31.8332i | −0.588596 | − | 1.01948i | |||||
−16.8586 | − | 8.92655i | −0.539630 | − | 0.285732i | |||||
−26.6156 | + | 46.0996i | −0.851509 | + | 1.47486i | 0.0283371 | + | 0.999598i | ||
−0.879846 | + | 0.475259i | ||||||||
−19.8648 | + | 41.2296i | −0.635208 | + | 1.31838i | |||||
−2.47736 | − | 2.47736i | −0.0791769 | − | 0.0791769i | |||||
0 | 0 | |||||||||
−11.5517 | + | 11.5517i | −0.368817 | + | 0.368817i | |||||
−0.673925 | + | 0.235672i | −0.0215058 | + | 0.00752059i | |||||
−0.255896 | − | 0.147742i | −0.00816182 | − | 0.00471223i | 0.495914 | − | 0.868372i | ||
−0.504075 | + | 0.863660i | ||||||||
−54.0539 | + | 28.5286i | −1.72318 | + | 0.909459i | |||||
14.7468 | − | 8.51406i | 0.469871 | − | 0.271280i | |||||
9.83424 | + | 1.86269i | 0.313186 | + | 0.0593201i | |||||
0 | 0 | |||||||||
−15.1706 | − | 5.96071i | −0.482640 | − | 0.189635i | |||||
−21.0532 | + | 78.5717i | −0.669453 | + | 2.49843i | |||||
2.32728 | + | 31.1354i | 0.0739659 | + | 0.989548i | |||||
21.0182 | − | 36.4046i | 0.667665 | − | 1.15643i | −0.310890 | − | 0.950446i | ||
0.978555 | − | 0.205985i | ||||||||
5.03314 | + | 12.8604i | 0.159802 | + | 0.408318i | |||||
41.0357 | 1.30223 | |||||||||
0 | 0 | |||||||||
3.52358 | + | 3.52358i | 0.111705 | + | 0.111705i | |||||
−2.29624 | − | 15.2742i | −0.0727592 | − | 0.483983i | |||||
11.9231 | + | 44.4977i | 0.377609 | + | 1.40926i | 0.849495 | + | 0.527597i | ||
−0.471885 | + | 0.881660i | ||||||||
−21.2745 | + | 24.7119i | −0.673434 | + | 0.782241i | |||||
−7.38970 | + | 4.26644i | −0.233800 | + | 0.134984i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 784.2.x.j.557.1 | 16 | ||
7.2 | even | 3 | inner | 784.2.x.j.765.3 | 16 | ||
7.3 | odd | 6 | 112.2.m.c.29.3 | ✓ | 8 | ||
7.4 | even | 3 | 784.2.m.g.589.3 | 8 | |||
7.5 | odd | 6 | 784.2.x.k.765.3 | 16 | |||
7.6 | odd | 2 | 784.2.x.k.557.1 | 16 | |||
16.5 | even | 4 | inner | 784.2.x.j.165.3 | 16 | ||
28.3 | even | 6 | 448.2.m.c.337.4 | 8 | |||
56.3 | even | 6 | 896.2.m.f.673.1 | 8 | |||
56.45 | odd | 6 | 896.2.m.e.673.4 | 8 | |||
112.3 | even | 12 | 896.2.m.f.225.1 | 8 | |||
112.5 | odd | 12 | 784.2.x.k.373.1 | 16 | |||
112.37 | even | 12 | inner | 784.2.x.j.373.1 | 16 | ||
112.45 | odd | 12 | 896.2.m.e.225.4 | 8 | |||
112.53 | even | 12 | 784.2.m.g.197.3 | 8 | |||
112.59 | even | 12 | 448.2.m.c.113.4 | 8 | |||
112.69 | odd | 4 | 784.2.x.k.165.3 | 16 | |||
112.101 | odd | 12 | 112.2.m.c.85.3 | yes | 8 | ||
224.59 | even | 24 | 7168.2.a.bd.1.1 | 8 | |||
224.101 | odd | 24 | 7168.2.a.bc.1.8 | 8 | |||
224.171 | even | 24 | 7168.2.a.bd.1.8 | 8 | |||
224.213 | odd | 24 | 7168.2.a.bc.1.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.m.c.29.3 | ✓ | 8 | 7.3 | odd | 6 | ||
112.2.m.c.85.3 | yes | 8 | 112.101 | odd | 12 | ||
448.2.m.c.113.4 | 8 | 112.59 | even | 12 | |||
448.2.m.c.337.4 | 8 | 28.3 | even | 6 | |||
784.2.m.g.197.3 | 8 | 112.53 | even | 12 | |||
784.2.m.g.589.3 | 8 | 7.4 | even | 3 | |||
784.2.x.j.165.3 | 16 | 16.5 | even | 4 | inner | ||
784.2.x.j.373.1 | 16 | 112.37 | even | 12 | inner | ||
784.2.x.j.557.1 | 16 | 1.1 | even | 1 | trivial | ||
784.2.x.j.765.3 | 16 | 7.2 | even | 3 | inner | ||
784.2.x.k.165.3 | 16 | 112.69 | odd | 4 | |||
784.2.x.k.373.1 | 16 | 112.5 | odd | 12 | |||
784.2.x.k.557.1 | 16 | 7.6 | odd | 2 | |||
784.2.x.k.765.3 | 16 | 7.5 | odd | 6 | |||
896.2.m.e.225.4 | 8 | 112.45 | odd | 12 | |||
896.2.m.e.673.4 | 8 | 56.45 | odd | 6 | |||
896.2.m.f.225.1 | 8 | 112.3 | even | 12 | |||
896.2.m.f.673.1 | 8 | 56.3 | even | 6 | |||
7168.2.a.bc.1.1 | 8 | 224.213 | odd | 24 | |||
7168.2.a.bc.1.8 | 8 | 224.101 | odd | 24 | |||
7168.2.a.bd.1.1 | 8 | 224.59 | even | 24 | |||
7168.2.a.bd.1.8 | 8 | 224.171 | even | 24 |