Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 16.7 | ||
Character | \(\chi\) | \(=\) | 81.16 |
Dual form | 81.2.g.a.76.7 |
$q$-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 \(\chi\) on generators for \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32853 | + | 0.314868i | 0.939416 | + | 0.222646i | 0.671676 | − | 0.740845i | \(-0.265575\pi\) |
0.267740 | + | 0.963491i | \(0.413723\pi\) | |||||||
\(3\) | 1.39366 | − | 1.02845i | 0.804632 | − | 0.593773i | ||||
\(4\) | −0.121403 | − | 0.0609710i | −0.0607016 | − | 0.0304855i | ||||
\(5\) | −2.27525 | + | 3.05619i | −1.01752 | + | 1.36677i | −0.0887746 | + | 0.996052i | \(0.528295\pi\) |
−0.928746 | + | 0.370716i | \(0.879112\pi\) | |||||||
\(6\) | 2.17536 | − | 0.927505i | 0.888085 | − | 0.378652i | ||||
\(7\) | −1.45958 | − | 0.959981i | −0.551669 | − | 0.362839i | 0.242863 | − | 0.970061i | \(-0.421914\pi\) |
−0.794532 | + | 0.607222i | \(0.792284\pi\) | |||||||
\(8\) | −2.23391 | − | 1.87447i | −0.789806 | − | 0.662726i | ||||
\(9\) | 0.884599 | − | 2.86662i | 0.294866 | − | 0.955539i | ||||
\(10\) | −3.98504 | + | 3.34385i | −1.26018 | + | 1.05742i | ||||
\(11\) | 3.03999 | − | 0.355324i | 0.916591 | − | 0.107134i | 0.355300 | − | 0.934752i | \(-0.384379\pi\) |
0.561291 | + | 0.827618i | \(0.310305\pi\) | |||||||
\(12\) | −0.231901 | + | 0.0398835i | −0.0669440 | + | 0.0115134i | ||||
\(13\) | −0.535794 | + | 1.78968i | −0.148602 | + | 0.496367i | −0.999584 | − | 0.0288282i | \(-0.990822\pi\) |
0.850982 | + | 0.525195i | \(0.176008\pi\) | |||||||
\(14\) | −1.63683 | − | 1.73494i | −0.437463 | − | 0.463683i | ||||
\(15\) | −0.0278076 | + | 6.59926i | −0.00717990 | + | 1.70392i | ||||
\(16\) | −2.21536 | − | 2.97575i | −0.553840 | − | 0.743936i | ||||
\(17\) | 1.21594 | + | 6.89593i | 0.294908 | + | 1.67251i | 0.667575 | + | 0.744542i | \(0.267332\pi\) |
−0.372667 | + | 0.927965i | \(0.621557\pi\) | |||||||
\(18\) | 2.07783 | − | 3.52987i | 0.489749 | − | 0.831997i | ||||
\(19\) | 0.858206 | − | 4.86713i | 0.196886 | − | 1.11660i | −0.712821 | − | 0.701346i | \(-0.752583\pi\) |
0.909707 | − | 0.415250i | \(-0.136306\pi\) | |||||||
\(20\) | 0.462561 | − | 0.232307i | 0.103432 | − | 0.0519454i | ||||
\(21\) | −3.02145 | + | 0.163208i | −0.659335 | + | 0.0356149i | ||||
\(22\) | 4.15061 | + | 0.485137i | 0.884913 | + | 0.103431i | ||||
\(23\) | 1.59153 | − | 1.04677i | 0.331857 | − | 0.218266i | −0.372634 | − | 0.927978i | \(-0.621545\pi\) |
0.704492 | + | 0.709712i | \(0.251175\pi\) | |||||||
\(24\) | −5.04111 | − | 0.314931i | −1.02901 | − | 0.0642849i | ||||
\(25\) | −2.72951 | − | 9.11720i | −0.545902 | − | 1.82344i | ||||
\(26\) | −1.27533 | + | 2.20894i | −0.250113 | + | 0.433209i | ||||
\(27\) | −1.71532 | − | 4.90486i | −0.330114 | − | 0.943941i | ||||
\(28\) | 0.118667 | + | 0.205537i | 0.0224259 | + | 0.0388428i | ||||
\(29\) | −0.155445 | + | 0.164762i | −0.0288654 | + | 0.0305956i | −0.741645 | − | 0.670792i | \(-0.765954\pi\) |
0.712780 | + | 0.701388i | \(0.247436\pi\) | |||||||
\(30\) | −2.11484 | + | 8.75859i | −0.386116 | + | 1.59909i | ||||
\(31\) | 0.229052 | + | 3.93268i | 0.0411390 | + | 0.706329i | 0.954322 | + | 0.298780i | \(0.0965796\pi\) |
−0.913183 | + | 0.407550i | \(0.866383\pi\) | |||||||
\(32\) | 0.303850 | + | 0.704403i | 0.0537136 | + | 0.124522i | ||||
\(33\) | 3.87129 | − | 3.62166i | 0.673905 | − | 0.630451i | ||||
\(34\) | −0.555894 | + | 9.54434i | −0.0953351 | + | 1.63684i | ||||
\(35\) | 6.25478 | − | 2.27656i | 1.05725 | − | 0.384808i | ||||
\(36\) | −0.282174 | + | 0.294082i | −0.0470289 | + | 0.0490136i | ||||
\(37\) | 0.346276 | + | 0.126034i | 0.0569274 | + | 0.0207199i | 0.370327 | − | 0.928902i | \(-0.379246\pi\) |
−0.313400 | + | 0.949621i | \(0.601468\pi\) | |||||||
\(38\) | 2.67266 | − | 6.19593i | 0.433563 | − | 1.00511i | ||||
\(39\) | 1.09387 | + | 3.04524i | 0.175159 | + | 0.487629i | ||||
\(40\) | 10.8114 | − | 2.56236i | 1.70944 | − | 0.405144i | ||||
\(41\) | −4.21359 | + | 0.998638i | −0.658052 | + | 0.155961i | −0.546057 | − | 0.837748i | \(-0.683872\pi\) |
−0.111994 | + | 0.993709i | \(0.535724\pi\) | |||||||
\(42\) | −4.06549 | − | 0.734533i | −0.627319 | − | 0.113341i | ||||
\(43\) | −1.28614 | + | 2.98160i | −0.196134 | + | 0.454690i | −0.987693 | − | 0.156403i | \(-0.950010\pi\) |
0.791559 | + | 0.611092i | \(0.209270\pi\) | |||||||
\(44\) | −0.390729 | − | 0.142214i | −0.0589046 | − | 0.0214395i | ||||
\(45\) | 6.74823 | + | 9.22575i | 1.00597 | + | 1.37529i | ||||
\(46\) | 2.44400 | − | 0.889543i | 0.360348 | − | 0.131156i | ||||
\(47\) | 0.101626 | − | 1.74486i | 0.0148237 | − | 0.254514i | −0.982752 | − | 0.184927i | \(-0.940795\pi\) |
0.997576 | − | 0.0695865i | \(-0.0221680\pi\) | |||||||
\(48\) | −6.14786 | − | 1.86881i | −0.887367 | − | 0.269740i | ||||
\(49\) | −1.56375 | − | 3.62517i | −0.223393 | − | 0.517882i | ||||
\(50\) | −0.755530 | − | 12.9720i | −0.106848 | − | 1.83451i | ||||
\(51\) | 8.78669 | + | 8.36008i | 1.23038 | + | 1.17065i | ||||
\(52\) | 0.174165 | − | 0.184605i | 0.0241524 | − | 0.0256000i | ||||
\(53\) | −3.03142 | − | 5.25057i | −0.416398 | − | 0.721222i | 0.579176 | − | 0.815202i | \(-0.303374\pi\) |
−0.995574 | + | 0.0939804i | \(0.970041\pi\) | |||||||
\(54\) | −0.734482 | − | 7.05638i | −0.0999503 | − | 0.960252i | ||||
\(55\) | −5.83078 | + | 10.0992i | −0.786223 | + | 1.36178i | ||||
\(56\) | 1.46111 | + | 4.88045i | 0.195249 | + | 0.652178i | ||||
\(57\) | −3.80953 | − | 7.66576i | −0.504584 | − | 1.01536i | ||||
\(58\) | −0.258393 | + | 0.169948i | −0.0339286 | + | 0.0223152i | ||||
\(59\) | −1.98446 | − | 0.231950i | −0.258355 | − | 0.0301973i | −0.0140704 | − | 0.999901i | \(-0.504479\pi\) |
−0.244284 | + | 0.969704i | \(0.578553\pi\) | |||||||
\(60\) | 0.405740 | − | 0.799476i | 0.0523808 | − | 0.103212i | ||||
\(61\) | 11.4290 | − | 5.73986i | 1.46333 | − | 0.734914i | 0.473993 | − | 0.880529i | \(-0.342812\pi\) |
0.989341 | + | 0.145615i | \(0.0465159\pi\) | |||||||
\(62\) | −0.933972 | + | 5.29682i | −0.118615 | + | 0.672696i | ||||
\(63\) | −4.04304 | + | 3.33486i | −0.509375 | + | 0.420152i | ||||
\(64\) | 1.47029 | + | 8.33845i | 0.183787 | + | 1.04231i | ||||
\(65\) | −4.25052 | − | 5.70944i | −0.527212 | − | 0.708169i | ||||
\(66\) | 6.28349 | − | 3.59256i | 0.773444 | − | 0.442213i | ||||
\(67\) | 4.35404 | + | 4.61501i | 0.531931 | + | 0.563814i | 0.936488 | − | 0.350699i | \(-0.114056\pi\) |
−0.404557 | + | 0.914513i | \(0.632574\pi\) | |||||||
\(68\) | 0.272833 | − | 0.911325i | 0.0330858 | − | 0.110514i | ||||
\(69\) | 1.14152 | − | 3.09565i | 0.137423 | − | 0.372672i | ||||
\(70\) | 9.02651 | − | 1.05505i | 1.07887 | − | 0.126102i | ||||
\(71\) | −10.6917 | + | 8.97137i | −1.26887 | + | 1.06471i | −0.274189 | + | 0.961676i | \(0.588409\pi\) |
−0.994678 | + | 0.103030i | \(0.967146\pi\) | |||||||
\(72\) | −7.34950 | + | 4.74560i | −0.866147 | + | 0.559275i | ||||
\(73\) | 2.42680 | + | 2.03633i | 0.284036 | + | 0.238334i | 0.773663 | − | 0.633598i | \(-0.218423\pi\) |
−0.489627 | + | 0.871932i | \(0.662867\pi\) | |||||||
\(74\) | 0.420355 | + | 0.276472i | 0.0488653 | + | 0.0321392i | ||||
\(75\) | −13.1806 | − | 9.89916i | −1.52196 | − | 1.14306i | ||||
\(76\) | −0.400943 | + | 0.538560i | −0.0459913 | + | 0.0617770i | ||||
\(77\) | −4.77821 | − | 2.39971i | −0.544527 | − | 0.273472i | ||||
\(78\) | 0.494391 | + | 4.39013i | 0.0559787 | + | 0.497085i | ||||
\(79\) | −2.55075 | − | 0.604538i | −0.286982 | − | 0.0680159i | 0.0846038 | − | 0.996415i | \(-0.473038\pi\) |
−0.371585 | + | 0.928399i | \(0.621186\pi\) | |||||||
\(80\) | 14.1349 | 1.58033 | ||||||||
\(81\) | −7.43497 | − | 5.07161i | −0.826108 | − | 0.563512i | ||||
\(82\) | −5.91234 | −0.652908 | ||||||||
\(83\) | 0.218769 | + | 0.0518492i | 0.0240130 | + | 0.00569119i | 0.242605 | − | 0.970125i | \(-0.421998\pi\) |
−0.218592 | + | 0.975816i | \(0.570146\pi\) | |||||||
\(84\) | 0.376765 | + | 0.164407i | 0.0411084 | + | 0.0179383i | ||||
\(85\) | −23.8418 | − | 11.9738i | −2.58600 | − | 1.29874i | ||||
\(86\) | −2.64749 | + | 3.55619i | −0.285486 | + | 0.383474i | ||||
\(87\) | −0.0471893 | + | 0.389490i | −0.00505923 | + | 0.0417577i | ||||
\(88\) | −7.45710 | − | 4.90461i | −0.794929 | − | 0.522833i | ||||
\(89\) | −5.45275 | − | 4.57540i | −0.577990 | − | 0.484991i | 0.306296 | − | 0.951936i | \(-0.400910\pi\) |
−0.884286 | + | 0.466945i | \(0.845355\pi\) | |||||||
\(90\) | 6.06036 | + | 14.3815i | 0.638818 | + | 1.51595i | ||||
\(91\) | 2.50009 | − | 2.09782i | 0.262080 | − | 0.219912i | ||||
\(92\) | −0.257040 | + | 0.0300436i | −0.0267982 | + | 0.00313226i | ||||
\(93\) | 4.36377 | + | 5.24526i | 0.452501 | + | 0.543908i | ||||
\(94\) | 0.684415 | − | 2.28611i | 0.0705921 | − | 0.235794i | ||||
\(95\) | 12.9222 | + | 13.6968i | 1.32579 | + | 1.40526i | ||||
\(96\) | 1.14791 | + | 0.669208i | 0.117158 | + | 0.0683008i | ||||
\(97\) | 9.30335 | + | 12.4966i | 0.944612 | + | 1.26883i | 0.963139 | + | 0.269005i | \(0.0866949\pi\) |
−0.0185271 | + | 0.999828i | \(0.505898\pi\) | |||||||
\(98\) | −0.936040 | − | 5.30854i | −0.0945543 | − | 0.536244i | ||||
\(99\) | 1.67059 | − | 9.02879i | 0.167901 | − | 0.907428i | ||||
\(100\) | −0.224513 | + | 1.27328i | −0.0224513 | + | 0.127328i | ||||
\(101\) | −7.67929 | + | 3.85669i | −0.764118 | + | 0.383755i | −0.787773 | − | 0.615966i | \(-0.788766\pi\) |
0.0236549 | + | 0.999720i | \(0.492470\pi\) | |||||||
\(102\) | 9.04110 | + | 13.8733i | 0.895202 | + | 1.37366i | ||||
\(103\) | 1.14716 | + | 0.134083i | 0.113033 | + | 0.0132116i | 0.172421 | − | 0.985023i | \(-0.444841\pi\) |
−0.0593885 | + | 0.998235i | \(0.518915\pi\) | |||||||
\(104\) | 4.55161 | − | 2.99364i | 0.446322 | − | 0.293551i | ||||
\(105\) | 6.37575 | − | 9.60546i | 0.622210 | − | 0.937397i | ||||
\(106\) | −2.37411 | − | 7.93007i | −0.230594 | − | 0.770236i | ||||
\(107\) | 5.53177 | − | 9.58130i | 0.534776 | − | 0.926259i | −0.464398 | − | 0.885626i | \(-0.653729\pi\) |
0.999174 | − | 0.0406326i | \(-0.0129373\pi\) | |||||||
\(108\) | −0.0908083 | + | 0.700051i | −0.00873804 | + | 0.0673624i | ||||
\(109\) | −7.60162 | − | 13.1664i | −0.728103 | − | 1.26111i | −0.957684 | − | 0.287822i | \(-0.907069\pi\) |
0.229581 | − | 0.973290i | \(-0.426264\pi\) | |||||||
\(110\) | −10.9263 | + | 11.5812i | −1.04178 | + | 1.10423i | ||||
\(111\) | 0.612211 | − | 0.180477i | 0.0581085 | − | 0.0171301i | ||||
\(112\) | 0.376837 | + | 6.47004i | 0.0356078 | + | 0.611362i | ||||
\(113\) | −0.839933 | − | 1.94718i | −0.0790142 | − | 0.183176i | 0.874130 | − | 0.485692i | \(-0.161432\pi\) |
−0.953144 | + | 0.302517i | \(0.902173\pi\) | |||||||
\(114\) | −2.64738 | − | 11.3837i | −0.247950 | − | 1.06618i | ||||
\(115\) | −0.422012 | + | 7.24567i | −0.0393529 | + | 0.675662i | ||||
\(116\) | 0.0289173 | − | 0.0105250i | 0.00268490 | − | 0.000977224i | ||||
\(117\) | 4.65635 | + | 3.11906i | 0.430480 | + | 0.288357i | ||||
\(118\) | −2.56339 | − | 0.932997i | −0.235979 | − | 0.0858894i | ||||
\(119\) | 4.84520 | − | 11.2324i | 0.444159 | − | 1.02968i | ||||
\(120\) | 12.4323 | − | 14.6900i | 1.13490 | − | 1.34101i | ||||
\(121\) | −1.58822 | + | 0.376416i | −0.144384 | + | 0.0342196i | ||||
\(122\) | 16.9911 | − | 4.02697i | 1.53830 | − | 0.364585i | ||||
\(123\) | −4.84528 | + | 5.72521i | −0.436884 | + | 0.516225i | ||||
\(124\) | 0.211971 | − | 0.491405i | 0.0190356 | − | 0.0441295i | ||||
\(125\) | 16.1725 | + | 5.88629i | 1.44651 | + | 0.526486i | ||||
\(126\) | −6.42136 | + | 3.15745i | −0.572060 | + | 0.281288i | ||||
\(127\) | 10.6417 | − | 3.87328i | 0.944302 | − | 0.343698i | 0.176439 | − | 0.984312i | \(-0.443542\pi\) |
0.767863 | + | 0.640614i | \(0.221320\pi\) | |||||||
\(128\) | −0.582968 | + | 10.0092i | −0.0515276 | + | 0.884695i | ||||
\(129\) | 1.27397 | + | 5.47807i | 0.112167 | + | 0.482317i | ||||
\(130\) | −3.84924 | − | 8.92354i | −0.337601 | − | 0.782646i | ||||
\(131\) | 0.629860 | + | 10.8143i | 0.0550311 | + | 0.944848i | 0.906967 | + | 0.421202i | \(0.138392\pi\) |
−0.851936 | + | 0.523646i | \(0.824571\pi\) | |||||||
\(132\) | −0.690804 | + | 0.203645i | −0.0601267 | + | 0.0177250i | ||||
\(133\) | −5.92497 | + | 6.28010i | −0.513760 | + | 0.544554i | ||||
\(134\) | 4.33137 | + | 7.50216i | 0.374174 | + | 0.648088i | ||||
\(135\) | 18.8930 | + | 5.91742i | 1.62605 | + | 0.509290i | ||||
\(136\) | 10.2099 | − | 17.6841i | 0.875494 | − | 1.51640i | ||||
\(137\) | 3.63333 | + | 12.1362i | 0.310416 | + | 1.03686i | 0.960797 | + | 0.277254i | \(0.0894243\pi\) |
−0.650380 | + | 0.759609i | \(0.725390\pi\) | |||||||
\(138\) | 2.49127 | − | 3.75325i | 0.212071 | − | 0.319498i | ||||
\(139\) | 8.11424 | − | 5.33682i | 0.688241 | − | 0.452663i | −0.156613 | − | 0.987660i | \(-0.550058\pi\) |
0.844854 | + | 0.534997i | \(0.179687\pi\) | |||||||
\(140\) | −0.898155 | − | 0.104979i | −0.0759079 | − | 0.00887237i | ||||
\(141\) | −1.65286 | − | 2.53626i | −0.139196 | − | 0.213592i | ||||
\(142\) | −17.0290 | + | 8.55231i | −1.42905 | + | 0.717694i | ||||
\(143\) | −0.992892 | + | 5.63097i | −0.0830298 | + | 0.470886i | ||||
\(144\) | −10.4900 | + | 3.71825i | −0.874169 | + | 0.309854i | ||||
\(145\) | −0.149868 | − | 0.849944i | −0.0124459 | − | 0.0705840i | ||||
\(146\) | 2.58292 | + | 3.46946i | 0.213764 | + | 0.287134i | ||||
\(147\) | −5.90763 | − | 3.44405i | −0.487253 | − | 0.284060i | ||||
\(148\) | −0.0343546 | − | 0.0364137i | −0.00282393 | − | 0.00299319i | ||||
\(149\) | −1.19064 | + | 3.97702i | −0.0975411 | + | 0.325810i | −0.992808 | − | 0.119721i | \(-0.961800\pi\) |
0.895266 | + | 0.445531i | \(0.146985\pi\) | |||||||
\(150\) | −14.3939 | − | 17.3015i | −1.17526 | − | 1.41266i | ||||
\(151\) | 3.21709 | − | 0.376024i | 0.261803 | − | 0.0306004i | 0.0158214 | − | 0.999875i | \(-0.494964\pi\) |
0.245982 | + | 0.969274i | \(0.420890\pi\) | |||||||
\(152\) | −11.0405 | + | 9.26404i | −0.895499 | + | 0.751413i | ||||
\(153\) | 20.8436 | + | 2.61450i | 1.68510 | + | 0.211370i | ||||
\(154\) | −5.59242 | − | 4.69260i | −0.450650 | − | 0.378141i | ||||
\(155\) | −12.5401 | − | 8.24778i | −1.00725 | − | 0.662478i | ||||
\(156\) | 0.0528723 | − | 0.436396i | 0.00423317 | − | 0.0349397i | ||||
\(157\) | −4.46513 | + | 5.99771i | −0.356356 | + | 0.478670i | −0.943763 | − | 0.330622i | \(-0.892741\pi\) |
0.587407 | + | 0.809292i | \(0.300149\pi\) | |||||||
\(158\) | −3.19841 | − | 1.60630i | −0.254452 | − | 0.127790i | ||||
\(159\) | −9.62471 | − | 4.19989i | −0.763289 | − | 0.333073i | ||||
\(160\) | −2.84412 | − | 0.674069i | −0.224847 | − | 0.0532898i | ||||
\(161\) | −3.32785 | −0.262271 | ||||||||
\(162\) | −8.28072 | − | 9.07885i | −0.650595 | − | 0.713302i | ||||
\(163\) | −9.71856 | −0.761216 | −0.380608 | − | 0.924736i | \(-0.624285\pi\) | ||||
−0.380608 | + | 0.924736i | \(0.624285\pi\) | |||||||
\(164\) | 0.572431 | + | 0.135669i | 0.0446994 | + | 0.0105939i | ||||
\(165\) | 2.26034 | + | 20.0716i | 0.175967 | + | 1.56257i | ||||
\(166\) | 0.274316 | + | 0.137767i | 0.0212911 | + | 0.0106928i | ||||
\(167\) | −0.430247 | + | 0.577922i | −0.0332935 | + | 0.0447209i | −0.818458 | − | 0.574566i | \(-0.805171\pi\) |
0.785165 | + | 0.619287i | \(0.212578\pi\) | |||||||
\(168\) | 7.05558 | + | 5.29904i | 0.544350 | + | 0.408830i | ||||
\(169\) | 7.94548 | + | 5.22582i | 0.611191 | + | 0.401986i | ||||
\(170\) | −27.9045 | − | 23.4146i | −2.14017 | − | 1.79582i | ||||
\(171\) | −13.1930 | − | 6.76561i | −1.00890 | − | 0.517379i | ||||
\(172\) | 0.337932 | − | 0.283559i | 0.0257671 | − | 0.0216212i | ||||
\(173\) | −2.17887 | + | 0.254673i | −0.165656 | + | 0.0193624i | −0.198517 | − | 0.980098i | \(-0.563612\pi\) |
0.0328604 | + | 0.999460i | \(0.489538\pi\) | |||||||
\(174\) | −0.185331 | + | 0.502593i | −0.0140499 | + | 0.0381015i | ||||
\(175\) | −4.76840 | + | 15.9276i | −0.360457 | + | 1.20401i | ||||
\(176\) | −7.79202 | − | 8.25906i | −0.587346 | − | 0.622550i | ||||
\(177\) | −3.00422 | + | 1.71765i | −0.225811 | + | 0.129106i | ||||
\(178\) | −5.80352 | − | 7.79547i | −0.434992 | − | 0.584296i | ||||
\(179\) | −4.40985 | − | 25.0095i | −0.329608 | − | 1.86930i | −0.475090 | − | 0.879937i | \(-0.657584\pi\) |
0.145482 | − | 0.989361i | \(-0.453527\pi\) | |||||||
\(180\) | −0.256753 | − | 1.53148i | −0.0191373 | − | 0.114150i | ||||
\(181\) | 2.09357 | − | 11.8732i | 0.155614 | − | 0.882531i | −0.802608 | − | 0.596506i | \(-0.796555\pi\) |
0.958222 | − | 0.286024i | \(-0.0923338\pi\) | |||||||
\(182\) | 3.98199 | − | 1.99983i | 0.295165 | − | 0.148237i | ||||
\(183\) | 10.0251 | − | 19.7536i | 0.741074 | − | 1.46022i | ||||
\(184\) | −5.51748 | − | 0.644900i | −0.406754 | − | 0.0475427i | ||||
\(185\) | −1.17305 | + | 0.771524i | −0.0862440 | + | 0.0567236i | ||||
\(186\) | 4.14585 | + | 8.34252i | 0.303988 | + | 0.611704i | ||||
\(187\) | 6.14672 | + | 20.5315i | 0.449493 | + | 1.50141i | ||||
\(188\) | −0.118724 | + | 0.205635i | −0.00865881 | + | 0.0149975i | ||||
\(189\) | −2.20492 | + | 8.80572i | −0.160384 | + | 0.640522i | ||||
\(190\) | 12.8549 | + | 22.2654i | 0.932596 | + | 1.61530i | ||||
\(191\) | 10.0388 | − | 10.6405i | 0.726384 | − | 0.769922i | −0.253961 | − | 0.967214i | \(-0.581734\pi\) |
0.980345 | + | 0.197293i | \(0.0632150\pi\) | |||||||
\(192\) | 10.6247 | + | 10.1089i | 0.766774 | + | 0.729545i | ||||
\(193\) | 1.23498 | + | 21.2038i | 0.0888959 | + | 1.52628i | 0.688057 | + | 0.725656i | \(0.258464\pi\) |
−0.599161 | + | 0.800628i | \(0.704499\pi\) | |||||||
\(194\) | 8.42504 | + | 19.5314i | 0.604883 | + | 1.40228i | ||||
\(195\) | −11.7956 | − | 3.58561i | −0.844703 | − | 0.256771i | ||||
\(196\) | −0.0311865 | + | 0.535451i | −0.00222761 | + | 0.0382465i | ||||
\(197\) | 16.9847 | − | 6.18193i | 1.21011 | − | 0.440444i | 0.343369 | − | 0.939201i | \(-0.388432\pi\) |
0.866742 | + | 0.498756i | \(0.166210\pi\) | |||||||
\(198\) | 5.06232 | − | 11.4690i | 0.359764 | − | 0.815070i | ||||
\(199\) | 22.9288 | + | 8.34541i | 1.62538 | + | 0.591590i | 0.984397 | − | 0.175963i | \(-0.0563040\pi\) |
0.640985 | + | 0.767554i | \(0.278526\pi\) | |||||||
\(200\) | −10.9925 | + | 25.4834i | −0.777284 | + | 1.80195i | ||||
\(201\) | 10.8144 | + | 1.95388i | 0.762786 | + | 0.137816i | ||||
\(202\) | −11.4166 | + | 2.70577i | −0.803266 | + | 0.190378i | ||||
\(203\) | 0.385053 | − | 0.0912593i | 0.0270254 | − | 0.00640515i | ||||
\(204\) | −0.557011 | − | 1.55067i | −0.0389986 | − | 0.108569i | ||||
\(205\) | 6.53492 | − | 15.1497i | 0.456419 | − | 1.05810i | ||||
\(206\) | 1.48182 | + | 0.539338i | 0.103243 | + | 0.0375774i | ||||
\(207\) | −1.59281 | − | 5.48828i | −0.110708 | − | 0.381462i | ||||
\(208\) | 6.51260 | − | 2.37039i | 0.451567 | − | 0.164357i | ||||
\(209\) | 0.879530 | − | 15.1010i | 0.0608384 | − | 1.04455i | ||||
\(210\) | 11.4949 | − | 10.7537i | 0.793221 | − | 0.742073i | ||||
\(211\) | −6.07923 | − | 14.0932i | −0.418512 | − | 0.970219i | −0.988864 | − | 0.148819i | \(-0.952453\pi\) |
0.570353 | − | 0.821400i | \(-0.306807\pi\) | |||||||
\(212\) | 0.0478915 | + | 0.822265i | 0.00328920 | + | 0.0564734i | ||||
\(213\) | −5.67402 | + | 23.4989i | −0.388777 | + | 1.61012i | ||||
\(214\) | 10.3660 | − | 10.9873i | 0.708605 | − | 0.751077i | ||||
\(215\) | −6.18604 | − | 10.7145i | −0.421885 | − | 0.730726i | ||||
\(216\) | −5.36215 | + | 14.1723i | −0.364848 | + | 0.964306i | ||||
\(217\) | 3.44097 | − | 5.95994i | 0.233589 | − | 0.404587i | ||||
\(218\) | −5.95333 | − | 19.8855i | −0.403210 | − | 1.34682i | ||||
\(219\) | 5.47640 | + | 0.342124i | 0.370061 | + | 0.0231186i | ||||
\(220\) | 1.32364 | − | 0.870569i | 0.0892395 | − | 0.0586937i | ||||
\(221\) | −12.9930 | − | 1.51866i | −0.874001 | − | 0.102156i | ||||
\(222\) | 0.870170 | − | 0.0470034i | 0.0584020 | − | 0.00315466i | ||||
\(223\) | −12.8364 | + | 6.44670i | −0.859592 | + | 0.431703i | −0.823279 | − | 0.567637i | \(-0.807858\pi\) |
−0.0363131 | + | 0.999340i | \(0.511561\pi\) | |||||||
\(224\) | 0.232720 | − | 1.31982i | 0.0155493 | − | 0.0881844i | ||||
\(225\) | −28.5500 | − | 0.240609i | −1.90334 | − | 0.0160406i | ||||
\(226\) | −0.502773 | − | 2.85137i | −0.0334440 | − | 0.189670i | ||||
\(227\) | 6.69986 | + | 8.99947i | 0.444685 | + | 0.597316i | 0.966792 | − | 0.255564i | \(-0.0822613\pi\) |
−0.522107 | + | 0.852880i | \(0.674854\pi\) | |||||||
\(228\) | −0.00490025 | + | 1.16292i | −0.000324527 | + | 0.0770162i | ||||
\(229\) | −6.58726 | − | 6.98209i | −0.435298 | − | 0.461389i | 0.472171 | − | 0.881507i | \(-0.343470\pi\) |
−0.907470 | + | 0.420117i | \(0.861989\pi\) | |||||||
\(230\) | −2.84209 | + | 9.49325i | −0.187402 | + | 0.625966i | ||||
\(231\) | −9.12719 | + | 1.56974i | −0.600525 | + | 0.103282i | ||||
\(232\) | 0.656093 | − | 0.0766862i | 0.0430746 | − | 0.00503470i | ||||
\(233\) | 13.4395 | − | 11.2771i | 0.880451 | − | 0.738786i | −0.0858206 | − | 0.996311i | \(-0.527351\pi\) |
0.966272 | + | 0.257524i | \(0.0829067\pi\) | |||||||
\(234\) | 5.20403 | + | 5.60992i | 0.340198 | + | 0.366732i | ||||
\(235\) | 5.10139 | + | 4.28057i | 0.332778 | + | 0.279234i | ||||
\(236\) | 0.226778 | + | 0.149154i | 0.0147620 | + | 0.00970910i | ||||
\(237\) | −4.17662 | + | 1.78078i | −0.271301 | + | 0.115674i | ||||
\(238\) | 9.97375 | − | 13.3971i | 0.646502 | − | 0.868403i | ||||
\(239\) | 24.4010 | + | 12.2547i | 1.57837 | + | 0.792688i | 0.999738 | − | 0.0228991i | \(-0.00728964\pi\) |
0.578634 | + | 0.815587i | \(0.303586\pi\) | |||||||
\(240\) | 19.6993 | − | 14.5370i | 1.27159 | − | 0.938359i | ||||
\(241\) | 5.06093 | + | 1.19946i | 0.326003 | + | 0.0772641i | 0.390359 | − | 0.920663i | \(-0.372351\pi\) |
−0.0643556 | + | 0.997927i | \(0.520499\pi\) | |||||||
\(242\) | −2.22853 | −0.143255 | ||||||||
\(243\) | −15.5777 | + | 0.578340i | −0.999312 | + | 0.0371005i | ||||
\(244\) | −1.73748 | −0.111231 | ||||||||
\(245\) | 14.6371 | + | 3.46906i | 0.935131 | + | 0.221630i | ||||
\(246\) | −8.23981 | + | 6.08052i | −0.525351 | + | 0.387680i | ||||
\(247\) | 8.25076 | + | 4.14369i | 0.524983 | + | 0.263657i | ||||
\(248\) | 6.86001 | − | 9.21459i | 0.435611 | − | 0.585127i | ||||
\(249\) | 0.358214 | − | 0.152732i | 0.0227009 | − | 0.00967897i | ||||
\(250\) | 19.6323 | + | 12.9123i | 1.24165 | + | 0.816648i | ||||
\(251\) | −3.65188 | − | 3.06429i | −0.230505 | − | 0.193416i | 0.520219 | − | 0.854033i | \(-0.325850\pi\) |
−0.750723 | + | 0.660617i | \(0.770295\pi\) | |||||||
\(252\) | 0.694168 | − | 0.158354i | 0.0437285 | − | 0.00997538i | ||||
\(253\) | 4.46630 | − | 3.74767i | 0.280794 | − | 0.235614i | ||||
\(254\) | 15.3575 | − | 1.79503i | 0.963616 | − | 0.112630i | ||||
\(255\) | −45.5418 | + | 7.83253i | −2.85194 | + | 0.490492i | ||||
\(256\) | 0.930706 | − | 3.10877i | 0.0581691 | − | 0.194298i | ||||
\(257\) | −2.08544 | − | 2.21044i | −0.130086 | − | 0.137883i | 0.659056 | − | 0.752094i | \(-0.270956\pi\) |
−0.789142 | + | 0.614210i | \(0.789475\pi\) | |||||||
\(258\) | −0.0323571 | + | 7.67894i | −0.00201446 | + | 0.478070i | ||||
\(259\) | −0.384427 | − | 0.516375i | −0.0238871 | − | 0.0320860i | ||||
\(260\) | 0.167917 | + | 0.952303i | 0.0104137 | + | 0.0590593i | ||||
\(261\) | 0.334803 | + | 0.591350i | 0.0207238 | + | 0.0366037i | ||||
\(262\) | −2.56828 | + | 14.5655i | −0.158669 | + | 0.899857i | ||||
\(263\) | −22.3242 | + | 11.2116i | −1.37657 | + | 0.691340i | −0.974525 | − | 0.224280i | \(-0.927997\pi\) |
−0.402045 | + | 0.915620i | \(0.631701\pi\) | |||||||
\(264\) | −15.4368 | + | 0.833841i | −0.950070 | + | 0.0513194i | ||||
\(265\) | 22.9440 | + | 2.68176i | 1.40944 | + | 0.164739i | ||||
\(266\) | −9.84894 | + | 6.47775i | −0.603877 | + | 0.397176i | ||||
\(267\) | −12.3048 | − | 0.768714i | −0.753044 | − | 0.0470445i | ||||
\(268\) | −0.247213 | − | 0.825748i | −0.0151009 | − | 0.0504406i | ||||
\(269\) | −12.6465 | + | 21.9043i | −0.771069 | + | 1.33553i | 0.165908 | + | 0.986141i | \(0.446944\pi\) |
−0.936977 | + | 0.349390i | \(0.886389\pi\) | |||||||
\(270\) | 23.2367 | + | 13.8103i | 1.41414 | + | 0.840467i | ||||
\(271\) | −11.3545 | − | 19.6666i | −0.689737 | − | 1.19466i | −0.971923 | − | 0.235300i | \(-0.924393\pi\) |
0.282186 | − | 0.959360i | \(-0.408941\pi\) | |||||||
\(272\) | 17.8268 | − | 18.8953i | 1.08091 | − | 1.14569i | ||||
\(273\) | 1.32679 | − | 5.49487i | 0.0803008 | − | 0.332564i | ||||
\(274\) | 1.00571 | + | 17.2673i | 0.0607570 | + | 1.04316i | ||||
\(275\) | −11.5372 | − | 26.7463i | −0.695721 | − | 1.61286i | ||||
\(276\) | −0.327329 | + | 0.306222i | −0.0197029 | + | 0.0184324i | ||||
\(277\) | 1.67353 | − | 28.7334i | 0.100553 | − | 1.72642i | −0.451209 | − | 0.892418i | \(-0.649007\pi\) |
0.551762 | − | 0.834002i | \(-0.313956\pi\) | |||||||
\(278\) | 12.4604 | − | 4.53523i | 0.747328 | − | 0.272005i | ||||
\(279\) | 11.4761 | + | 2.82224i | 0.687056 | + | 0.168963i | ||||
\(280\) | −18.2400 | − | 6.63880i | −1.09005 | − | 0.396744i | ||||
\(281\) | −0.730775 | + | 1.69413i | −0.0435944 | + | 0.101063i | −0.938622 | − | 0.344948i | \(-0.887897\pi\) |
0.895027 | + | 0.446011i | \(0.147156\pi\) | |||||||
\(282\) | −1.39729 | − | 3.88995i | −0.0832075 | − | 0.231643i | ||||
\(283\) | 5.84377 | − | 1.38500i | 0.347376 | − | 0.0823296i | −0.0532242 | − | 0.998583i | \(-0.516950\pi\) |
0.400600 | + | 0.916253i | \(0.368802\pi\) | |||||||
\(284\) | 1.84500 | − | 0.437272i | 0.109480 | − | 0.0259473i | ||||
\(285\) | 32.0956 | + | 5.79887i | 1.90118 | + | 0.343496i | ||||
\(286\) | −3.09211 | + | 7.16831i | −0.182840 | + | 0.423871i | ||||
\(287\) | 7.10874 | + | 2.58737i | 0.419616 | + | 0.152728i | ||||
\(288\) | 2.28804 | − | 0.247906i | 0.134824 | − | 0.0146080i | ||||
\(289\) | −30.1005 | + | 10.9557i | −1.77062 | + | 0.644452i | ||||
\(290\) | 0.0685157 | − | 1.17637i | 0.00402338 | − | 0.0690788i | ||||
\(291\) | 25.8178 | + | 7.84802i | 1.51346 | + | 0.460059i | ||||
\(292\) | −0.170465 | − | 0.395182i | −0.00997569 | − | 0.0231263i | ||||
\(293\) | −0.617561 | − | 10.6031i | −0.0360783 | − | 0.619440i | −0.967087 | − | 0.254444i | \(-0.918107\pi\) |
0.931009 | − | 0.364996i | \(-0.118930\pi\) | |||||||
\(294\) | −6.76407 | − | 6.43566i | −0.394489 | − | 0.375335i | ||||
\(295\) | 5.22402 | − | 5.53713i | 0.304154 | − | 0.322384i | ||||
\(296\) | −0.537301 | − | 0.930632i | −0.0312300 | − | 0.0540919i | ||||
\(297\) | −6.95738 | − | 14.3012i | −0.403708 | − | 0.829841i | ||||
\(298\) | −2.83404 | + | 4.90871i | −0.164172 | + | 0.284354i | ||||
\(299\) | 1.02064 | + | 3.40918i | 0.0590252 | + | 0.197158i | ||||
\(300\) | 0.996602 | + | 2.00542i | 0.0575388 | + | 0.115783i | ||||
\(301\) | 4.73950 | − | 3.11722i | 0.273180 | − | 0.179673i | ||||
\(302\) | 4.39242 | + | 0.513400i | 0.252755 | + | 0.0295429i | ||||
\(303\) | −6.73596 | + | 13.2727i | −0.386971 | + | 0.762494i | ||||
\(304\) | −16.3846 | + | 8.22864i | −0.939720 | + | 0.471945i | ||||
\(305\) | −8.46171 | + | 47.9888i | −0.484516 | + | 2.74783i | ||||
\(306\) | 26.8682 | + | 10.0364i | 1.53595 | + | 0.573745i | ||||
\(307\) | 0.293712 | + | 1.66572i | 0.0167630 | + | 0.0950677i | 0.992041 | − | 0.125912i | \(-0.0401857\pi\) |
−0.975278 | + | 0.220980i | \(0.929075\pi\) | |||||||
\(308\) | 0.433778 | + | 0.582664i | 0.0247168 | + | 0.0332004i | ||||
\(309\) | 1.73665 | − | 0.992920i | 0.0987944 | − | 0.0564853i | ||||
\(310\) | −14.0630 | − | 14.9060i | −0.798727 | − | 0.846601i | ||||
\(311\) | 7.78876 | − | 26.0163i | 0.441660 | − | 1.47525i | −0.390443 | − | 0.920627i | \(-0.627678\pi\) |
0.832103 | − | 0.554621i | \(-0.187137\pi\) | |||||||
\(312\) | 3.26462 | − | 8.85322i | 0.184823 | − | 0.501215i | ||||
\(313\) | −26.7554 | + | 3.12726i | −1.51231 | + | 0.176763i | −0.831427 | − | 0.555633i | \(-0.812476\pi\) |
−0.680878 | + | 0.732397i | \(0.738402\pi\) | |||||||
\(314\) | −7.82057 | + | 6.56224i | −0.441340 | + | 0.370329i | ||||
\(315\) | −0.993032 | − | 19.9439i | −0.0559510 | − | 1.12371i | ||||
\(316\) | 0.272810 | + | 0.228915i | 0.0153467 | + | 0.0128774i | ||||
\(317\) | −4.45018 | − | 2.92693i | −0.249947 | − | 0.164393i | 0.418353 | − | 0.908284i | \(-0.362607\pi\) |
−0.668300 | + | 0.743892i | \(0.732978\pi\) | |||||||
\(318\) | −11.4644 | − | 8.61021i | −0.642889 | − | 0.482837i | ||||
\(319\) | −0.414008 | + | 0.556109i | −0.0231800 | + | 0.0311361i | ||||
\(320\) | −28.8291 | − | 14.4785i | −1.61160 | − | 0.809374i | ||||
\(321\) | −2.14442 | − | 19.0422i | −0.119690 | − | 1.06283i | ||||
\(322\) | −4.42116 | − | 1.04783i | −0.246382 | − | 0.0583935i | ||||
\(323\) | 34.6069 | 1.92558 | ||||||||
\(324\) | 0.593408 | + | 1.06903i | 0.0329671 | + | 0.0593904i | ||||
\(325\) | 17.7793 | 0.986217 | ||||||||
\(326\) | −12.9114 | − | 3.06007i | −0.715099 | − | 0.169482i | ||||
\(327\) | −24.1350 | − | 10.5317i | −1.33467 | − | 0.582403i | ||||
\(328\) | 11.2847 | + | 5.66738i | 0.623093 | + | 0.312929i | ||||
\(329\) | −1.82336 | + | 2.44920i | −0.100525 | + | 0.135029i | ||||
\(330\) | −3.31696 | + | 27.3775i | −0.182593 | + | 1.50708i | ||||
\(331\) | −12.0819 | − | 7.94640i | −0.664082 | − | 0.436774i | 0.172208 | − | 0.985061i | \(-0.444910\pi\) |
−0.836290 | + | 0.548287i | \(0.815280\pi\) | |||||||
\(332\) | −0.0233980 | − | 0.0196332i | −0.00128413 | − | 0.00107751i | ||||
\(333\) | 0.667606 | − | 0.881149i | 0.0365846 | − | 0.0482867i | ||||
\(334\) | −0.753567 | + | 0.632318i | −0.0412334 | + | 0.0345989i | ||||
\(335\) | −24.0109 | + | 2.80647i | −1.31185 | + | 0.153334i | ||||
\(336\) | 7.17927 | + | 8.62951i | 0.391661 | + | 0.470778i | ||||
\(337\) | −4.15514 | + | 13.8791i | −0.226345 | + | 0.756045i | 0.767079 | + | 0.641553i | \(0.221709\pi\) |
−0.993424 | + | 0.114493i | \(0.963476\pi\) | |||||||
\(338\) | 8.91039 | + | 9.44447i | 0.484662 | + | 0.513711i | ||||
\(339\) | −3.17316 | − | 1.84989i | −0.172342 | − | 0.100472i | ||||
\(340\) | 2.16442 | + | 2.90731i | 0.117382 | + | 0.157671i | ||||
\(341\) | 2.09369 | + | 11.8739i | 0.113380 | + | 0.643008i | ||||
\(342\) | −15.3971 | − | 13.1424i | −0.832580 | − | 0.710660i | ||||
\(343\) | −3.32120 | + | 18.8355i | −0.179328 | + | 1.01702i | ||||
\(344\) | 8.46204 | − | 4.24979i | 0.456242 | − | 0.229134i | ||||
\(345\) | 6.86364 | + | 10.5321i | 0.369526 | + | 0.567027i | ||||
\(346\) | −2.97489 | − | 0.347715i | −0.159931 | − | 0.0186933i | ||||
\(347\) | 2.95945 | − | 1.94646i | 0.158872 | − | 0.104492i | −0.467584 | − | 0.883949i | \(-0.654875\pi\) |
0.626455 | + | 0.779457i | \(0.284505\pi\) | |||||||
\(348\) | 0.0294765 | − | 0.0444082i | 0.00158011 | − | 0.00238053i | ||||
\(349\) | 8.49633 | + | 28.3797i | 0.454798 | + | 1.51913i | 0.811183 | + | 0.584792i | \(0.198824\pi\) |
−0.356385 | + | 0.934339i | \(0.615991\pi\) | |||||||
\(350\) | −11.3501 | + | 19.6589i | −0.606687 | + | 1.05081i | ||||
\(351\) | 9.69717 | − | 0.441880i | 0.517597 | − | 0.0235858i | ||||
\(352\) | 1.17399 | + | 2.03341i | 0.0625739 | + | 0.108381i | ||||
\(353\) | −18.7129 | + | 19.8345i | −0.995985 | + | 1.05568i | 0.00246376 | + | 0.999997i | \(0.499216\pi\) |
−0.998448 | + | 0.0556851i | \(0.982266\pi\) | |||||||
\(354\) | −4.53204 | + | 1.33602i | −0.240875 | + | 0.0710088i | ||||
\(355\) | −3.09201 | − | 53.0878i | −0.164107 | − | 2.81761i | ||||
\(356\) | 0.383015 | + | 0.887928i | 0.0202997 | + | 0.0470601i | ||||
\(357\) | −4.79937 | − | 20.6373i | −0.254009 | − | 1.09224i | ||||
\(358\) | 2.01607 | − | 34.6145i | 0.106552 | − | 1.82943i | ||||
\(359\) | 1.58829 | − | 0.578092i | 0.0838270 | − | 0.0305105i | −0.299766 | − | 0.954013i | \(-0.596909\pi\) |
0.383593 | + | 0.923502i | \(0.374686\pi\) | |||||||
\(360\) | 2.21849 | − | 33.2589i | 0.116925 | − | 1.75290i | ||||
\(361\) | −5.09828 | − | 1.85562i | −0.268330 | − | 0.0976642i | ||||
\(362\) | 6.51989 | − | 15.1148i | 0.342678 | − | 0.794416i | ||||
\(363\) | −1.82633 | + | 2.15800i | −0.0958573 | + | 0.113266i | ||||
\(364\) | −0.431425 | + | 0.102250i | −0.0226128 | + | 0.00535934i | ||||
\(365\) | −11.7450 | + | 2.78361i | −0.614760 | + | 0.145701i | ||||
\(366\) | 19.5384 | − | 23.0867i | 1.02129 | − | 1.20676i | ||||
\(367\) | 2.16091 | − | 5.00954i | 0.112798 | − | 0.261496i | −0.852460 | − | 0.522792i | \(-0.824891\pi\) |
0.965259 | + | 0.261296i | \(0.0841498\pi\) | |||||||
\(368\) | −6.64073 | − | 2.41703i | −0.346172 | − | 0.125996i | ||||
\(369\) | −0.864623 | + | 12.9621i | −0.0450105 | + | 0.674781i | ||||
\(370\) | −1.80136 | + | 0.655641i | −0.0936482 | + | 0.0340852i | ||||
\(371\) | −0.615850 | + | 10.5737i | −0.0319734 | + | 0.548961i | ||||
\(372\) | −0.209966 | − | 0.902855i | −0.0108863 | − | 0.0468108i | ||||
\(373\) | 8.29628 | + | 19.2329i | 0.429565 | + | 0.995844i | 0.986271 | + | 0.165134i | \(0.0528057\pi\) |
−0.556706 | + | 0.830710i | \(0.687935\pi\) | |||||||
\(374\) | 1.70142 | + | 29.2122i | 0.0879781 | + | 1.51053i | ||||
\(375\) | 28.5927 | − | 8.42898i | 1.47652 | − | 0.435270i | ||||
\(376\) | −3.49771 | + | 3.70736i | −0.180381 | + | 0.191193i | ||||
\(377\) | −0.211584 | − | 0.366475i | −0.0108972 | − | 0.0188744i | ||||
\(378\) | −5.70196 | + | 11.0044i | −0.293277 | + | 0.566007i | ||||
\(379\) | −17.0149 | + | 29.4707i | −0.873998 | + | 1.51381i | −0.0161719 | + | 0.999869i | \(0.505148\pi\) |
−0.857826 | + | 0.513940i | \(0.828185\pi\) | |||||||
\(380\) | −0.733695 | − | 2.45071i | −0.0376377 | − | 0.125719i | ||||
\(381\) | 10.8476 | − | 16.3425i | 0.555738 | − | 0.837252i | ||||
\(382\) | 16.6873 | − | 10.9754i | 0.853796 | − | 0.561550i | ||||
\(383\) | 9.88413 | + | 1.15529i | 0.505056 | + | 0.0590325i | 0.364806 | − | 0.931084i | \(-0.381135\pi\) |
0.140250 | + | 0.990116i | \(0.455209\pi\) | |||||||
\(384\) | 9.48143 | + | 14.5490i | 0.483847 | + | 0.742450i | ||||
\(385\) | 18.2056 | − | 9.14317i | 0.927841 | − | 0.465979i | ||||
\(386\) | −5.03570 | + | 28.5589i | −0.256310 | + | 1.45361i | ||||
\(387\) | 7.40938 | + | 6.32438i | 0.376640 | + | 0.321486i | ||||
\(388\) | −0.367528 | − | 2.08436i | −0.0186584 | − | 0.105817i | ||||
\(389\) | −10.4840 | − | 14.0825i | −0.531560 | − | 0.714009i | 0.452516 | − | 0.891756i | \(-0.350527\pi\) |
−0.984076 | + | 0.177747i | \(0.943119\pi\) | |||||||
\(390\) | −14.5419 | − | 8.47768i | −0.736359 | − | 0.429284i | ||||
\(391\) | 9.15364 | + | 9.70229i | 0.462919 | + | 0.490666i | ||||
\(392\) | −3.30202 | + | 11.0295i | −0.166777 | + | 0.557074i | ||||
\(393\) | 11.9997 | + | 14.4237i | 0.605305 | + | 0.727579i | ||||
\(394\) | 24.5113 | − | 2.86496i | 1.23486 | − | 0.144334i | ||||
\(395\) | 7.65116 | − | 6.42008i | 0.384972 | − | 0.323030i | ||||
\(396\) | −0.753310 | + | 0.994267i | −0.0378553 | + | 0.0499638i | ||||
\(397\) | −12.8659 | − | 10.7958i | −0.645721 | − | 0.541824i | 0.260048 | − | 0.965596i | \(-0.416262\pi\) |
−0.905769 | + | 0.423771i | \(0.860706\pi\) | |||||||
\(398\) | 27.8340 | + | 18.3067i | 1.39519 | + | 0.917634i | ||||
\(399\) | −1.79868 | + | 14.8459i | −0.0900464 | + | 0.743223i | ||||
\(400\) | −21.0836 | + | 28.3202i | −1.05418 | + | 1.41601i | ||||
\(401\) | −2.34878 | − | 1.17960i | −0.117293 | − | 0.0589066i | 0.389185 | − | 0.921159i | \(-0.372757\pi\) |
−0.506478 | + | 0.862253i | \(0.669053\pi\) | |||||||
\(402\) | 13.7520 | + | 6.00091i | 0.685889 | + | 0.299298i | ||||
\(403\) | −7.16094 | − | 1.69717i | −0.356712 | − | 0.0845422i | ||||
\(404\) | 1.16744 | 0.0580822 | ||||||||
\(405\) | 32.4162 | − | 11.1835i | 1.61077 | − | 0.555712i | ||||
\(406\) | 0.540291 | 0.0268142 | ||||||||
\(407\) | 1.09746 | + | 0.260102i | 0.0543989 | + | 0.0128928i | ||||
\(408\) | −3.95794 | − | 35.1461i | −0.195947 | − | 1.73999i | ||||
\(409\) | −7.01951 | − | 3.52533i | −0.347093 | − | 0.174316i | 0.266708 | − | 0.963777i | \(-0.414064\pi\) |
−0.613801 | + | 0.789461i | \(0.710360\pi\) | |||||||
\(410\) | 13.4520 | − | 18.0692i | 0.664348 | − | 0.892374i | ||||
\(411\) | 17.5450 | + | 13.1771i | 0.865432 | + | 0.649976i | ||||
\(412\) | −0.131093 | − | 0.0862214i | −0.00645850 | − | 0.00424782i | ||||
\(413\) | 2.67381 | + | 2.24359i | 0.131570 | + | 0.110400i | ||||
\(414\) | −0.388018 | − | 7.79290i | −0.0190701 | − | 0.383000i | ||||
\(415\) | −0.656214 | + | 0.550629i | −0.0322123 | + | 0.0270293i | ||||
\(416\) | −1.42345 | + | 0.166378i | −0.0697906 | + | 0.00815735i | ||||
\(417\) | 5.81990 | − | 15.7828i | 0.285002 | − | 0.772887i | ||||
\(418\) | 5.92330 | − | 19.7852i | 0.289718 | − | 0.967726i | ||||
\(419\) | −21.7244 | − | 23.0265i | −1.06130 | − | 1.12492i | −0.991860 | − | 0.127331i | \(-0.959359\pi\) |
−0.0694441 | − | 0.997586i | \(-0.522123\pi\) | |||||||
\(420\) | −1.35969 | + | 0.777398i | −0.0663462 | + | 0.0379331i | ||||
\(421\) | −0.309416 | − | 0.415618i | −0.0150800 | − | 0.0202560i | 0.794519 | − | 0.607239i | \(-0.207723\pi\) |
−0.809599 | + | 0.586983i | \(0.800316\pi\) | |||||||
\(422\) | −3.63895 | − | 20.6375i | −0.177141 | − | 1.00462i | ||||
\(423\) | −4.91194 | − | 1.83482i | −0.238827 | − | 0.0892122i | ||||
\(424\) | −3.07014 | + | 17.4116i | −0.149099 | + | 0.845583i | ||||
\(425\) | 59.5526 | − | 29.9084i | 2.88873 | − | 1.45077i | ||||
\(426\) | −14.9372 | + | 29.4325i | −0.723709 | + | 1.42601i | ||||
\(427\) | −22.1917 | − | 2.59384i | −1.07393 | − | 0.125525i | ||||
\(428\) | −1.25576 | + | 0.825923i | −0.0606992 | + | 0.0399225i | ||||
\(429\) | 4.40739 | + | 8.86882i | 0.212791 | + | 0.428191i | ||||
\(430\) | −4.84470 | − | 16.1824i | −0.233632 | − | 0.780386i | ||||
\(431\) | −5.66734 | + | 9.81613i | −0.272986 | + | 0.472826i | −0.969625 | − | 0.244596i | \(-0.921345\pi\) |
0.696639 | + | 0.717422i | \(0.254678\pi\) | |||||||
\(432\) | −10.7956 | + | 15.9704i | −0.519402 | + | 0.768377i | ||||
\(433\) | 3.59806 | + | 6.23203i | 0.172912 | + | 0.299492i | 0.939437 | − | 0.342723i | \(-0.111349\pi\) |
−0.766525 | + | 0.642215i | \(0.778016\pi\) | |||||||
\(434\) | 6.44805 | − | 6.83453i | 0.309516 | − | 0.328068i | ||||
\(435\) | −1.08299 | − | 1.03041i | −0.0519252 | − | 0.0494042i | ||||
\(436\) | 0.120093 | + | 2.06192i | 0.00575142 | + | 0.0987481i | ||||
\(437\) | −3.72889 | − | 8.64454i | −0.178377 | − | 0.413524i | ||||
\(438\) | 7.16787 | + | 2.17887i | 0.342494 | + | 0.104110i | ||||
\(439\) | 0.106265 | − | 1.82451i | 0.00507177 | − | 0.0870789i | −0.994822 | − | 0.101629i | \(-0.967595\pi\) |
0.999894 | + | 0.0145500i | \(0.00463159\pi\) | |||||||
\(440\) | 31.9561 | − | 11.6311i | 1.52345 | − | 0.554490i | ||||
\(441\) | −11.7753 | + | 1.27584i | −0.560727 | + | 0.0607542i | ||||
\(442\) | −16.7834 | − | 6.10867i | −0.798306 | − | 0.290560i | ||||
\(443\) | −6.26180 | + | 14.5165i | −0.297507 | + | 0.689698i | −0.999753 | − | 0.0222361i | \(-0.992921\pi\) |
0.702246 | + | 0.711934i | \(0.252181\pi\) | |||||||
\(444\) | −0.0853282 | − | 0.0154167i | −0.00404950 | − | 0.000731643i | ||||
\(445\) | 26.3896 | − | 6.25445i | 1.25099 | − | 0.296489i | ||||
\(446\) | −19.0835 | + | 4.52288i | −0.903631 | + | 0.214165i | ||||
\(447\) | 2.43079 | + | 6.76713i | 0.114973 | + | 0.320074i | ||||
\(448\) | 5.85874 | − | 13.5821i | 0.276799 | − | 0.641693i | ||||
\(449\) | −9.12091 | − | 3.31974i | −0.430442 | − | 0.156668i | 0.117708 | − | 0.993048i | \(-0.462445\pi\) |
−0.548150 | + | 0.836380i | \(0.684668\pi\) | |||||||
\(450\) | −37.8539 | − | 9.30916i | −1.78445 | − | 0.438838i | ||||
\(451\) | −12.4544 | + | 4.53304i | −0.586455 | + | 0.213452i | ||||
\(452\) | −0.0167511 | + | 0.287606i | −0.000787907 | + | 0.0135278i | ||||
\(453\) | 4.09683 | − | 3.83266i | 0.192486 | − | 0.180074i | ||||
\(454\) | 6.06734 | + | 14.0657i | 0.284754 | + | 0.660135i | ||||
\(455\) | 0.723021 | + | 12.4138i | 0.0338958 | + | 0.581968i | ||||
\(456\) | −5.85912 | + | 24.2655i | −0.274378 | + | 1.13633i | ||||
\(457\) | −1.76333 | + | 1.86902i | −0.0824849 | + | 0.0874289i | −0.767301 | − | 0.641287i | \(-0.778401\pi\) |
0.684816 | + | 0.728716i | \(0.259882\pi\) | |||||||
\(458\) | −6.55296 | − | 11.3501i | −0.306200 | − | 0.530354i | ||||
\(459\) | 31.7378 | − | 17.7928i | 1.48140 | − | 0.830495i | ||||
\(460\) | 0.493010 | − | 0.853918i | 0.0229867 | − | 0.0398141i | ||||
\(461\) | −0.929953 | − | 3.10626i | −0.0433122 | − | 0.144673i | 0.933598 | − | 0.358321i | \(-0.116651\pi\) |
−0.976911 | + | 0.213648i | \(0.931465\pi\) | |||||||
\(462\) | −12.6200 | − | 0.788405i | −0.587138 | − | 0.0366799i | ||||
\(463\) | −8.11013 | + | 5.33411i | −0.376910 | + | 0.247897i | −0.723802 | − | 0.690008i | \(-0.757607\pi\) |
0.346893 | + | 0.937905i | \(0.387237\pi\) | |||||||
\(464\) | 0.834658 | + | 0.0975575i | 0.0387480 | + | 0.00452899i | ||||
\(465\) | −25.9591 | + | 1.40222i | −1.20383 | + | 0.0650263i | ||||
\(466\) | 21.4056 | − | 10.7503i | 0.991597 | − | 0.497999i | ||||
\(467\) | 0.550626 | − | 3.12276i | 0.0254799 | − | 0.144504i | −0.969414 | − | 0.245432i | \(-0.921070\pi\) |
0.994894 | + | 0.100928i | \(0.0321812\pi\) | |||||||
\(468\) | −0.375124 | − | 0.662566i | −0.0173401 | − | 0.0306271i | ||||
\(469\) | −1.92475 | − | 10.9158i | −0.0888765 | − | 0.504044i | ||||
\(470\) | 5.42955 | + | 7.29316i | 0.250447 | + | 0.336408i | ||||
\(471\) | −0.0545720 | + | 12.9509i | −0.00251454 | + | 0.596748i | ||||
\(472\) | 3.99832 | + | 4.23797i | 0.184037 | + | 0.195068i | ||||
\(473\) | −2.85041 | + | 9.52102i | −0.131062 | + | 0.437777i | ||||
\(474\) | −6.10950 | + | 1.05074i | −0.280618 | + | 0.0482623i | ||||
\(475\) | −46.7171 | + | 5.46044i | −2.14353 | + | 0.250542i | ||||
\(476\) | −1.27308 | + | 1.06824i | −0.0583513 | + | 0.0489626i | ||||
\(477\) | −17.7330 | + | 4.04526i | −0.811937 | + | 0.185220i | ||||
\(478\) | 28.5590 | + | 23.9639i | 1.30626 | + | 1.09608i | ||||
\(479\) | 23.1377 | + | 15.2179i | 1.05719 | + | 0.695323i | 0.954142 | − | 0.299353i | \(-0.0967709\pi\) |
0.103046 | + | 0.994677i | \(0.467141\pi\) | |||||||
\(480\) | −4.65699 | + | 1.98560i | −0.212562 | + | 0.0906297i | ||||
\(481\) | −0.411092 | + | 0.552193i | −0.0187442 | + | 0.0251778i | ||||
\(482\) | 6.34594 | + | 3.18705i | 0.289050 | + | 0.145166i | ||||
\(483\) | −4.63790 | + | 3.42251i | −0.211032 | + | 0.155730i | ||||
\(484\) | 0.215766 | + | 0.0511375i | 0.00980754 | + | 0.00232443i | ||||
\(485\) | −59.3592 | −2.69536 | ||||||||
\(486\) | −20.8776 | − | 4.13659i | −0.947029 | − | 0.187640i | ||||
\(487\) | 10.4889 | 0.475298 | 0.237649 | − | 0.971351i | \(-0.423623\pi\) | ||||
0.237649 | + | 0.971351i | \(0.423623\pi\) | |||||||
\(488\) | −36.2906 | − | 8.60102i | −1.64280 | − | 0.389350i | ||||
\(489\) | −13.5444 | + | 9.99501i | −0.612499 | + | 0.451990i | ||||
\(490\) | 18.3536 | + | 9.21753i | 0.829132 | + | 0.416406i | ||||
\(491\) | −3.53968 | + | 4.75462i | −0.159744 | + | 0.214573i | −0.874788 | − | 0.484507i | \(-0.838999\pi\) |
0.715044 | + | 0.699079i | \(0.246407\pi\) | |||||||
\(492\) | 0.937304 | − | 0.399638i | 0.0422569 | − | 0.0180171i | ||||
\(493\) | −1.32520 | − | 0.871598i | −0.0596840 | − | 0.0392548i | ||||
\(494\) | 9.65671 | + | 8.10294i | 0.434476 | + | 0.364568i | ||||
\(495\) | 23.7927 | + | 25.6484i | 1.06940 | + | 1.15281i | ||||
\(496\) | 11.1952 | − | 9.39390i | 0.502680 | − | 0.421798i | ||||
\(497\) | 24.2177 | − | 2.83064i | 1.08631 | − | 0.126972i | ||||
\(498\) | 0.523991 | − | 0.0901188i | 0.0234806 | − | 0.00403832i | ||||
\(499\) | 10.9322 | − | 36.5161i | 0.489392 | − | 1.63468i | −0.255000 | − | 0.966941i | \(-0.582076\pi\) |
0.744392 | − | 0.667743i | \(-0.232739\pi\) | |||||||
\(500\) | −1.60450 | − | 1.70067i | −0.0717552 | − | 0.0760561i | ||||
\(501\) | −0.00525839 | + | 1.24791i | −0.000234928 | + | 0.0557527i | ||||
\(502\) | −3.88680 | − | 5.22088i | −0.173476 | − | 0.233019i | ||||
\(503\) | −2.25782 | − | 12.8047i | −0.100671 | − | 0.570935i | −0.992861 | − | 0.119275i | \(-0.961943\pi\) |
0.892190 | − | 0.451660i | \(-0.149168\pi\) | |||||||
\(504\) | 15.2829 | + | 0.128799i | 0.680753 | + | 0.00573715i | ||||
\(505\) | 5.68553 | − | 32.2442i | 0.253003 | − | 1.43485i | ||||
\(506\) | 7.11365 | − | 3.57261i | 0.316241 | − | 0.158822i | ||||
\(507\) | 16.4478 | − | 0.888450i | 0.730472 | − | 0.0394575i | ||||
\(508\) | −1.52810 | − | 0.178609i | −0.0677985 | − | 0.00792451i | ||||
\(509\) | −22.7299 | + | 14.9497i | −1.00749 | + | 0.662634i | −0.942137 | − | 0.335228i | \(-0.891187\pi\) |
−0.0653495 | + | 0.997862i | \(0.520816\pi\) | |||||||
\(510\) | −62.9701 | − | 3.93390i | −2.78836 | − | 0.174196i | ||||
\(511\) | −1.58728 | − | 5.30187i | −0.0702170 | − | 0.234541i | ||||
\(512\) | 12.2415 | − | 21.2028i | 0.541002 | − | 0.937042i | ||||
\(513\) | −25.3447 | + | 4.13932i | −1.11900 | + | 0.182756i | ||||
\(514\) | −2.07458 | − | 3.59329i | −0.0915060 | − | 0.158493i | ||||
\(515\) | −3.01985 | + | 3.20085i | −0.133070 | + | 0.141046i | ||||
\(516\) | 0.179339 | − | 0.742731i | 0.00789497 | − | 0.0326969i | ||||
\(517\) | −0.311046 | − | 5.34046i | −0.0136798 | − | 0.234873i | ||||
\(518\) | −0.348134 | − | 0.807066i | −0.0152961 | − | 0.0354604i | ||||
\(519\) | −2.77469 | + | 2.59578i | −0.121795 | + | 0.113942i | ||||
\(520\) | −1.20691 | + | 20.7218i | −0.0529265 | + | 0.908713i | ||||
\(521\) | 8.60146 | − | 3.13068i | 0.376837 | − | 0.137157i | −0.146656 | − | 0.989188i | \(-0.546851\pi\) |
0.523493 | + | 0.852030i | \(0.324629\pi\) | |||||||
\(522\) | 0.258600 | + | 0.891048i | 0.0113186 | + | 0.0390001i | ||||
\(523\) | 24.5766 | + | 8.94516i | 1.07466 | + | 0.391144i | 0.817918 | − | 0.575335i | \(-0.195128\pi\) |
0.256743 | + | 0.966480i | \(0.417351\pi\) | |||||||
\(524\) | 0.582890 | − | 1.35129i | 0.0254637 | − | 0.0590314i | ||||
\(525\) | 9.73509 | + | 27.1017i | 0.424874 | + | 1.18282i | ||||
\(526\) | −33.1887 | + | 7.86586i | −1.44710 | + | 0.342968i | ||||
\(527\) | −26.8409 | + | 6.36142i | −1.16921 | + | 0.277108i | ||||
\(528\) | −19.3535 | − | 3.49669i | −0.842251 | − | 0.152174i | ||||
\(529\) | −7.67258 | + | 17.7870i | −0.333590 | + | 0.773350i | ||||
\(530\) | 29.6374 | + | 10.7871i | 1.28737 | + | 0.468564i | ||||
\(531\) | −2.42036 | + | 5.48350i | −0.105035 | + | 0.237964i | ||||
\(532\) | 1.10222 | − | 0.401173i | 0.0477871 | − | 0.0173931i | ||||
\(533\) | 0.470374 | − | 8.07602i | 0.0203742 | − | 0.349811i | ||||
\(534\) | −16.1054 | − | 4.89567i | −0.696948 | − | 0.211856i | ||||
\(535\) | 16.6961 | + | 38.7059i | 0.721835 | + | 1.67340i | ||||
\(536\) | −1.07582 | − | 18.4711i | −0.0464682 | − | 0.797828i | ||||
\(537\) | −31.8668 | − | 30.3196i | −1.37515 | − | 1.30839i | ||||
\(538\) | −23.6983 | + | 25.1187i | −1.02170 | + | 1.08294i | ||||
\(539\) | −6.04188 | − | 10.4648i | −0.260242 | − | 0.450753i | ||||
\(540\) | −1.93287 | − | 1.87032i | −0.0831777 | − | 0.0804856i | ||||
\(541\) | 4.36966 | − | 7.56848i | 0.187867 | − | 0.325394i | −0.756672 | − | 0.653794i | \(-0.773176\pi\) |
0.944539 | + | 0.328400i | \(0.106509\pi\) | |||||||
\(542\) | −8.89247 | − | 29.7029i | −0.381964 | − | 1.27585i | ||||
\(543\) | −9.29324 | − | 18.7004i | −0.398811 | − | 0.802512i | ||||
\(544\) | −4.48805 | + | 2.95184i | −0.192424 | + | 0.126559i | ||||
\(545\) | 57.5345 | + | 6.72482i | 2.46451 | + | 0.288059i | ||||
\(546\) | 3.49284 | − | 6.88236i | 0.149480 | − | 0.294538i | ||||
\(547\) | 27.1553 | − | 13.6379i | 1.16107 | − | 0.583114i | 0.239341 | − | 0.970936i | \(-0.423069\pi\) |
0.921734 | + | 0.387822i | \(0.126772\pi\) | |||||||
\(548\) | 0.298856 | − | 1.69490i | 0.0127665 | − | 0.0724024i | ||||
\(549\) | −6.34389 | − | 37.8400i | −0.270751 | − | 1.61497i | ||||
\(550\) | −6.90604 | − | 39.1661i | −0.294475 | − | 1.67005i | ||||
\(551\) | 0.668515 | + | 0.897972i | 0.0284797 | + | 0.0382549i | ||||
\(552\) | −8.35275 | + | 4.77565i | −0.355517 | + | 0.203265i | ||||
\(553\) | 3.14268 | + | 3.33104i | 0.133640 | + | 0.141650i | ||||
\(554\) | 11.2706 | − | 37.6463i | 0.478840 | − | 1.59944i | ||||
\(555\) | −0.841361 | + | 2.28166i | −0.0357138 | + | 0.0968510i | ||||
\(556\) | −1.31049 | + | 0.153174i | −0.0555770 | + | 0.00649602i | ||||
\(557\) | −19.9818 | + | 16.7668i | −0.846658 | + | 0.710430i | −0.959051 | − | 0.283234i | \(-0.908593\pi\) |
0.112393 | + | 0.993664i | \(0.464148\pi\) | |||||||
\(558\) | 14.3577 | + | 7.36290i | 0.607812 | + | 0.311696i | ||||
\(559\) | −4.64699 | − | 3.89929i | −0.196547 | − | 0.164922i | ||||
\(560\) | −20.6311 | − | 13.5693i | −0.871821 | − | 0.573406i | ||||
\(561\) | 29.6820 | + | 22.2924i | 1.25317 | + | 0.941186i | ||||
\(562\) | −1.50429 | + | 2.02061i | −0.0634546 | + | 0.0852343i | ||||
\(563\) | 38.7398 | + | 19.4559i | 1.63269 | + | 0.819967i | 0.998921 | + | 0.0464445i | \(0.0147891\pi\) |
0.633768 | + | 0.773523i | \(0.281507\pi\) | |||||||
\(564\) | 0.0460239 | + | 0.408687i | 0.00193796 | + | 0.0172088i | ||||
\(565\) | 7.86201 | + | 1.86333i | 0.330757 | + | 0.0783909i | ||||
\(566\) | 8.19974 | 0.344661 | ||||||||
\(567\) | 5.98328 | + | 14.5399i | 0.251274 | + | 0.610616i | ||||
\(568\) | 40.7008 | 1.70777 | ||||||||
\(569\) | 6.38604 | + | 1.51352i | 0.267717 | + | 0.0634500i | 0.362282 | − | 0.932069i | \(-0.381998\pi\) |
−0.0945650 | + | 0.995519i | \(0.530146\pi\) | |||||||
\(570\) | 40.8142 | + | 17.8099i | 1.70952 | + | 0.745974i | ||||
\(571\) | 21.3809 | + | 10.7379i | 0.894764 | + | 0.449367i | 0.835889 | − | 0.548898i | \(-0.184953\pi\) |
0.0588744 | + | 0.998265i | \(0.481249\pi\) | |||||||
\(572\) | 0.463866 | − | 0.623081i | 0.0193952 | − | 0.0260523i | ||||
\(573\) | 3.04754 | − | 25.1537i | 0.127313 | − | 1.05081i | ||||
\(574\) | 8.62953 | + | 5.67573i | 0.360190 | + | 0.236900i | ||||
\(575\) | −13.8877 | − | 11.6532i | −0.579157 | − | 0.485970i | ||||
\(576\) | 25.2037 | + | 3.16142i | 1.05016 | + | 0.131726i | ||||
\(577\) | −24.0397 | + | 20.1717i | −1.00078 | + | 0.839758i | −0.987093 | − | 0.160148i | \(-0.948803\pi\) |
−0.0136918 | + | 0.999906i | \(0.504358\pi\) | |||||||
\(578\) | −43.4392 | + | 5.07731i | −1.80683 | + | 0.211188i | ||||
\(579\) | 23.5281 | + | 28.2809i | 0.977796 | + | 1.17531i | ||||
\(580\) | −0.0336275 | + | 0.112324i | −0.00139630 | + | 0.00466398i | ||||
\(581\) | −0.269537 | − | 0.285692i | −0.0111823 | − | 0.0118525i | ||||
\(582\) | 31.8287 | + | 18.5556i | 1.31934 | + | 0.769153i | ||||
\(583\) | −11.0811 | − | 14.8845i | −0.458934 | − | 0.616455i | ||||
\(584\) | −1.60421 | − | 9.09795i | −0.0663828 | − | 0.376476i | ||||
\(585\) | −20.1268 | + | 7.13404i | −0.832139 | + | 0.294956i | ||||
\(586\) | 2.51813 | − | 14.2810i | 0.104023 | − | 0.589944i | ||||
\(587\) | −39.6752 | + | 19.9256i | −1.63757 | + | 0.822419i | −0.638988 | + | 0.769217i | \(0.720647\pi\) |
−0.998584 | + | 0.0532027i | \(0.983057\pi\) | |||||||
\(588\) | 0.507219 | + | 0.778313i | 0.0209174 | + | 0.0320971i | ||||
\(589\) | 19.3374 | + | 2.26022i | 0.796784 | + | 0.0931307i | ||||
\(590\) | 8.68375 | − | 5.71140i | 0.357505 | − | 0.235134i | ||||
\(591\) | 17.3132 | − | 26.0834i | 0.712170 | − | 1.07293i | ||||
\(592\) | −0.392080 | − | 1.30964i | −0.0161144 | − | 0.0538258i | ||||
\(593\) | 9.54772 | − | 16.5371i | 0.392078 | − | 0.679099i | −0.600646 | − | 0.799515i | \(-0.705090\pi\) |
0.992723 | + | 0.120417i | \(0.0384230\pi\) | |||||||
\(594\) | −4.74011 | − | 21.1903i | −0.194489 | − | 0.869450i | ||||
\(595\) | 23.3044 | + | 40.3644i | 0.955387 | + | 1.65478i | ||||
\(596\) | 0.387030 | − | 0.410228i | 0.0158534 | − | 0.0168036i | ||||
\(597\) | 40.5379 | − | 11.9504i | 1.65911 | − | 0.489095i | ||||
\(598\) | 0.282514 | + | 4.85058i | 0.0115529 | + | 0.198355i | ||||
\(599\) | 0.349165 | + | 0.809455i | 0.0142665 | + | 0.0330734i | 0.925200 | − | 0.379479i | \(-0.123897\pi\) |
−0.910934 | + | 0.412552i | \(0.864637\pi\) | |||||||
\(600\) | 10.8885 | + | 46.8204i | 0.444520 | + | 1.91144i | ||||
\(601\) | −1.64397 | + | 28.2259i | −0.0670589 | + | 1.15136i | 0.782077 | + | 0.623182i | \(0.214160\pi\) |
−0.849136 | + | 0.528175i | \(0.822877\pi\) | |||||||
\(602\) | 7.27810 | − | 2.64901i | 0.296633 | − | 0.107966i | ||||
\(603\) | 17.0811 | − | 8.39893i | 0.695594 | − | 0.342031i | ||||
\(604\) | −0.413492 | − | 0.150499i | −0.0168248 | − | 0.00612371i | ||||
\(605\) | 2.46320 | − | 5.71035i | 0.100143 | − | 0.232159i | ||||
\(606\) | −13.1281 | + | 15.5122i | −0.533293 | + | 0.630142i | ||||
\(607\) | −36.3715 | + | 8.62021i | −1.47628 | + | 0.349884i | −0.888401 | − | 0.459069i | \(-0.848183\pi\) |
−0.587874 | + | 0.808952i | \(0.700035\pi\) | |||||||
\(608\) | 3.68919 | − | 0.874354i | 0.149616 | − | 0.0354597i | ||||
\(609\) | 0.442780 | − | 0.523191i | 0.0179423 | − | 0.0212008i | ||||
\(610\) | −26.3518 | + | 61.0904i | −1.06695 | + | 2.47348i | ||||
\(611\) | 3.06828 | + | 1.11676i | 0.124129 | + | 0.0451794i | ||||
\(612\) | −2.37107 | − | 1.58826i | −0.0958448 | − | 0.0642017i | ||||
\(613\) | 7.96120 | − | 2.89764i | 0.321550 | − | 0.117035i | −0.176202 | − | 0.984354i | \(-0.556381\pi\) |
0.497752 | + | 0.867319i | \(0.334159\pi\) | |||||||
\(614\) | −0.134277 | + | 2.30545i | −0.00541898 | + | 0.0930403i | ||||
\(615\) | −6.47311 | − | 27.8343i | −0.261021 | − | 1.12239i | ||||
\(616\) | 6.17590 | + | 14.3173i | 0.248834 | + | 0.576862i | ||||
\(617\) | −2.16312 | − | 37.1393i | −0.0870839 | − | 1.49517i | −0.705156 | − | 0.709052i | \(-0.749123\pi\) |
0.618073 | − | 0.786121i | \(-0.287914\pi\) | |||||||
\(618\) | 2.61984 | − | 0.772314i | 0.105385 | − | 0.0310670i | ||||
\(619\) | 26.5413 | − | 28.1322i | 1.06679 | − | 1.13073i | 0.0757506 | − | 0.997127i | \(-0.475865\pi\) |
0.991035 | − | 0.133600i | \(-0.0426538\pi\) | |||||||
\(620\) | 1.01954 | + | 1.76589i | 0.0409456 | + | 0.0709199i | ||||
\(621\) | −7.86424 | − | 6.01070i | −0.315581 | − | 0.241201i | ||||
\(622\) | 18.5394 | − | 32.1111i | 0.743360 | − | 1.28754i | ||||
\(623\) | 3.56643 | + | 11.9127i | 0.142886 | + | 0.477272i | ||||
\(624\) | 6.63855 | − | 10.0014i | 0.265755 | − | 0.400376i | ||||
\(625\) | −15.0292 | + | 9.88483i | −0.601166 | + | 0.395393i | ||||
\(626\) | −36.5302 | − | 4.26976i | −1.46004 | − | 0.170654i | ||||
\(627\) | −14.3047 | − | 21.9502i | −0.571276 | − | 0.876607i | ||||
\(628\) | 0.907768 | − | 0.455898i | 0.0362239 | − | 0.0181923i | ||||
\(629\) | −0.448072 | + | 2.54114i | −0.0178658 | + | 0.101322i | ||||
\(630\) | 4.96043 | − | 26.8088i | 0.197628 | − | 1.06809i | ||||
\(631\) | −0.0118315 | − | 0.0670997i | −0.000471004 | − | 0.00267120i | 0.984571 | − | 0.174984i | \(-0.0559872\pi\) |
−0.985042 | + | 0.172312i | \(0.944876\pi\) | |||||||
\(632\) | 4.56495 | + | 6.13179i | 0.181584 | + | 0.243909i | ||||
\(633\) | −22.9666 | − | 13.3891i | −0.912838 | − | 0.532169i | ||||
\(634\) | −4.99062 | − | 5.28975i | −0.198203 | − | 0.210083i | ||||
\(635\) | −12.3751 | + | 41.3358i | −0.491092 | + | 1.64036i | ||||
\(636\) | 0.912400 | + | 1.09671i | 0.0361790 | + | 0.0434873i | ||||
\(637\) | 7.32573 | − | 0.856255i | 0.290256 | − | 0.0339261i | ||||
\(638\) | −0.725124 | + | 0.608452i | −0.0287079 | + | 0.0240888i | ||||
\(639\) | 16.2596 | + | 38.5850i | 0.643221 | + | 1.52640i | ||||
\(640\) | −29.2635 | − | 24.5550i | −1.15674 | − | 0.970621i | ||||
\(641\) | 9.07061 | + | 5.96584i | 0.358268 | + | 0.235636i | 0.715864 | − | 0.698240i | \(-0.246033\pi\) |
−0.357596 | + | 0.933876i | \(0.616404\pi\) | |||||||
\(642\) | 3.14686 | − | 25.9735i | 0.124197 | − | 1.02509i | ||||
\(643\) | 18.6763 | − | 25.0866i | 0.736522 | − | 0.989321i | −0.263176 | − | 0.964748i | \(-0.584770\pi\) |
0.999698 | − | 0.0245728i | \(-0.00782256\pi\) | |||||||
\(644\) | 0.404011 | + | 0.202902i | 0.0159203 | + | 0.00799546i | ||||
\(645\) | −19.6406 | − | 8.57046i | −0.773348 | − | 0.337462i | ||||
\(646\) | 45.9765 | + | 10.8966i | 1.80892 | + | 0.428722i | ||||
\(647\) | −22.3771 | −0.879735 | −0.439868 | − | 0.898063i | \(-0.644975\pi\) | ||||
−0.439868 | + | 0.898063i | \(0.644975\pi\) | |||||||
\(648\) | 7.10245 | + | 25.2662i | 0.279011 | + | 0.992548i | ||||
\(649\) | −6.11515 | −0.240041 | ||||||||
\(650\) | 23.6204 | + | 5.59814i | 0.926468 | + | 0.219577i | ||||
\(651\) | −1.33391 | − | 11.8450i | −0.0522802 | − | 0.464243i | ||||
\(652\) | 1.17986 | + | 0.592550i | 0.0462071 | + | 0.0232061i | ||||
\(653\) | −22.3747 | + | 30.0545i | −0.875591 | + | 1.17612i | 0.107719 | + | 0.994181i | \(0.465645\pi\) |
−0.983309 | + | 0.181941i | \(0.941762\pi\) | |||||||
\(654\) | −28.7481 | − | 21.5910i | −1.12414 | − | 0.844277i | ||||
\(655\) | −34.4835 | − | 22.6802i | −1.34738 | − | 0.886187i | ||||
\(656\) | 12.3063 | + | 10.3262i | 0.480481 | + | 0.403171i | ||||
\(657\) | 7.98412 | − | 5.15538i | 0.311490 | − | 0.201130i | ||||
\(658\) | −3.19358 | + | 2.67973i | −0.124499 | + | 0.104467i | ||||
\(659\) | 4.59454 | − | 0.537025i | 0.178978 | − | 0.0209195i | −0.0261317 | − | 0.999659i | \(-0.508319\pi\) |
0.205110 | + | 0.978739i | \(0.434245\pi\) | |||||||
\(660\) | 0.949370 | − | 2.57457i | 0.0369542 | − | 0.100215i | ||||
\(661\) | −2.10378 | + | 7.02712i | −0.0818276 | + | 0.273323i | −0.989106 | − | 0.147208i | \(-0.952971\pi\) |
0.907278 | + | 0.420532i | \(0.138156\pi\) | |||||||
\(662\) | −13.5492 | − | 14.3613i | −0.526604 | − | 0.558167i | ||||
\(663\) | −19.6697 | + | 11.2461i | −0.763907 | + | 0.436761i | ||||
\(664\) | −0.391520 | − | 0.525903i | −0.0151939 | − | 0.0204090i | ||||
\(665\) | −5.71239 | − | 32.3966i | −0.221517 | − | 1.25629i | ||||
\(666\) | 1.16438 | − | 0.960429i | 0.0451190 | − | 0.0372159i | ||||
\(667\) | −0.0749283 | + | 0.424939i | −0.00290124 | + | 0.0164537i | ||||
\(668\) | 0.0874698 | − | 0.0439290i | 0.00338431 | − | 0.00169966i | ||||
\(669\) | −11.2596 | + | 22.1861i | −0.435322 | + | 0.857765i | ||||
\(670\) | −32.7829 | − | 3.83177i | −1.26651 | − | 0.148034i | ||||
\(671\) | 32.7045 | − | 21.5101i | 1.26254 | − | 0.830388i | ||||
\(672\) | −1.03303 | − | 2.07873i | −0.0398501 | − | 0.0801888i | ||||
\(673\) | −3.56139 | − | 11.8959i | −0.137282 | − | 0.458552i | 0.861508 | − | 0.507744i | \(-0.169521\pi\) |
−0.998789 | + | 0.0491920i | \(0.984335\pi\) | |||||||
\(674\) | −9.89036 | + | 17.1306i | −0.380962 | + | 0.659846i | ||||
\(675\) | −40.0366 | + | 29.0268i | −1.54101 | + | 1.11724i | ||||
\(676\) | −0.645983 | − | 1.11888i | −0.0248455 | − | 0.0430337i | ||||
\(677\) | 16.9732 | − | 17.9905i | 0.652332 | − | 0.691432i | −0.313797 | − | 0.949490i | \(-0.601601\pi\) |
0.966129 | + | 0.258058i | \(0.0830827\pi\) | |||||||
\(678\) | −3.63317 | − | 3.45677i | −0.139531 | − | 0.132757i | ||||
\(679\) | −1.58252 | − | 27.1708i | −0.0607314 | − | 1.04272i | ||||
\(680\) | 30.8158 | + | 71.4391i | 1.18173 | + | 2.73957i | ||||
\(681\) | 18.5928 | + | 5.65180i | 0.712478 | + | 0.216577i | ||||
\(682\) | −0.957179 | + | 16.4341i | −0.0366523 | + | 0.629295i | ||||
\(683\) | −3.75317 | + | 1.36604i | −0.143611 | + | 0.0522702i | −0.412826 | − | 0.910810i | \(-0.635458\pi\) |
0.269215 | + | 0.963080i | \(0.413236\pi\) | |||||||
\(684\) | 1.18917 | + | 1.62576i | 0.0454690 | + | 0.0621624i | ||||
\(685\) | −45.3571 | − | 16.5086i | −1.73301 | − | 0.630762i | ||||
\(686\) | −10.3430 | + | 23.9778i | −0.394899 | + | 0.915478i | ||||
\(687\) | −16.3611 | − | 2.95605i | −0.624216 | − | 0.112780i | ||||
\(688\) | 11.7217 | − | 2.77810i | 0.446887 | − | 0.105914i | ||||
\(689\) | 11.0210 | − | 2.61203i | 0.419868 | − | 0.0995106i | ||||
\(690\) | 5.80237 | + | 16.1533i | 0.220892 | + | 0.614947i | ||||
\(691\) | 2.11344 | − | 4.89949i | 0.0803989 | − | 0.186386i | −0.873275 | − | 0.487227i | \(-0.838008\pi\) |
0.953674 | + | 0.300842i | \(0.0972676\pi\) | |||||||
\(692\) | 0.280049 | + | 0.101930i | 0.0106459 | + | 0.00387478i | ||||
\(693\) | −11.1058 | + | 11.5745i | −0.421876 | + | 0.439679i | ||||
\(694\) | 4.54461 | − | 1.65410i | 0.172511 | − | 0.0627889i | ||||
\(695\) | −2.15158 | + | 36.9412i | −0.0816141 | + | 1.40126i | ||||
\(696\) | 0.835505 | − | 0.781630i | 0.0316697 | − | 0.0296276i | ||||
\(697\) | −12.0100 | − | 27.8423i | −0.454911 | − | 1.05460i | ||||
\(698\) | 2.35179 | + | 40.3787i | 0.0890166 | + | 1.52836i | ||||
\(699\) | 7.13229 | − | 29.5383i | 0.269768 | − | 1.11724i | ||||
\(700\) | 1.55002 | − | 1.64292i | 0.0585852 | − | 0.0620967i | ||||
\(701\) | −9.39904 | − | 16.2796i | −0.354997 | − | 0.614873i | 0.632120 | − | 0.774870i | \(-0.282185\pi\) |
−0.987117 | + | 0.159997i | \(0.948851\pi\) | |||||||
\(702\) | 13.0222 | + | 2.46628i | 0.491490 | + | 0.0930837i | ||||
\(703\) | 0.910600 | − | 1.57721i | 0.0343439 | − | 0.0594854i | ||||
\(704\) | 7.43252 | + | 24.8263i | 0.280124 | + | 0.935678i | ||||
\(705\) | 11.5120 | + | 0.719180i | 0.433565 | + | 0.0270859i | ||||
\(706\) | −31.1059 | + | 20.4587i | −1.17069 | + | 0.769973i | ||||
\(707\) | 14.9109 | + | 1.74283i | 0.560782 | + | 0.0655460i | ||||
\(708\) | 0.469449 | − | 0.0253579i | 0.0176430 | − | 0.000953008i | ||||
\(709\) | 16.4370 | − | 8.25497i | 0.617304 | − | 0.310022i | −0.112527 | − | 0.993649i | \(-0.535895\pi\) |
0.729832 | + | 0.683627i | \(0.239598\pi\) | |||||||
\(710\) | 12.6078 | − | 71.5025i | 0.473163 | − | 2.68344i | ||||
\(711\) | −3.98937 | + | 6.77724i | −0.149613 | + | 0.254166i | ||||
\(712\) | 3.60448 | + | 20.4420i | 0.135084 | + | 0.766098i | ||||
\(713\) | 4.48114 | + | 6.01922i | 0.167820 | + | 0.225421i | ||||
\(714\) | 0.121897 | − | 28.9285i | 0.00456189 | − | 1.08262i | ||||
\(715\) | −14.9502 | − | 15.8463i | −0.559107 | − | 0.592618i | ||||
\(716\) | −0.989484 | + | 3.30511i | −0.0369788 | + | 0.123518i | ||||
\(717\) | 46.6101 | − | 8.01626i | 1.74069 | − | 0.299373i | ||||
\(718\) | 2.29213 | − | 0.267911i | 0.0855414 | − | 0.00999836i | ||||
\(719\) | −2.04229 | + | 1.71368i | −0.0761644 | + | 0.0639095i | −0.680075 | − | 0.733143i | \(-0.738053\pi\) |
0.603911 | + | 0.797052i | \(0.293608\pi\) | |||||||
\(720\) | 12.5037 | − | 40.5194i | 0.465987 | − | 1.51007i | ||||
\(721\) | −1.54565 | − | 1.29695i | −0.0575630 | − | 0.0483011i | ||||
\(722\) | −6.18896 | − | 4.07054i | −0.230329 | − | 0.151490i | ||||
\(723\) | 8.28681 | − | 3.53324i | 0.308190 | − | 0.131403i | ||||
\(724\) | −0.978089 | + | 1.31380i | −0.0363504 | + | 0.0488271i | ||||
\(725\) | 1.92646 | + | 0.967504i | 0.0715469 | + | 0.0359322i | ||||
\(726\) | −3.10582 | + | 2.29192i | −0.115268 | + | 0.0850613i | ||||
\(727\) | −0.413488 | − | 0.0979983i | −0.0153354 | − | 0.00363456i | 0.222941 | − | 0.974832i | \(-0.428434\pi\) |
−0.238276 | + | 0.971197i | \(0.576582\pi\) | |||||||
\(728\) | −9.51728 | −0.352734 | ||||||||
\(729\) | −21.1153 | + | 16.8269i | −0.782049 | + | 0.623217i | ||||
\(730\) | −16.4801 | −0.609955 | ||||||||
\(731\) | −22.1247 | − | 5.24366i | −0.818313 | − | 0.193944i | ||||
\(732\) | −2.42147 | + | 1.78691i | −0.0895000 | + | 0.0660460i | ||||
\(733\) | −21.2740 | − | 10.6842i | −0.785774 | − | 0.394631i | 0.0102102 | − | 0.999948i | \(-0.496750\pi\) |
−0.795984 | + | 0.605317i | \(0.793046\pi\) | |||||||
\(734\) | 4.44819 | − | 5.97495i | 0.164186 | − | 0.220539i | ||||
\(735\) | 23.9670 | − | 10.2188i | 0.884035 | − | 0.376925i | ||||
\(736\) | 1.22093 | + | 0.803021i | 0.0450042 | + | 0.0295997i | ||||
\(737\) | 14.8761 | + | 12.4825i | 0.547967 | + | 0.459799i | ||||
\(738\) | −5.23005 | + | 16.9484i | −0.192521 | + | 0.623879i | ||||
\(739\) | 19.6618 | − | 16.4982i | 0.723271 | − | 0.606896i | −0.205017 | − | 0.978758i | \(-0.565725\pi\) |
0.928288 | + | 0.371862i | \(0.121281\pi\) | |||||||
\(740\) | 0.189452 | − | 0.0221438i | 0.00696440 | − | 0.000814021i | ||||
\(741\) | 15.7603 | − | 2.71055i | 0.578971 | − | 0.0995746i | ||||
\(742\) | −4.14752 | + | 13.8537i | −0.152260 | + | 0.508584i | ||||
\(743\) | 5.63065 | + | 5.96814i | 0.206568 | + | 0.218950i | 0.822372 | − | 0.568950i | \(-0.192650\pi\) |
−0.615804 | + | 0.787899i | \(0.711169\pi\) | |||||||
\(744\) | 0.0838417 | − | 19.8972i | 0.00307379 | − | 0.729466i | ||||
\(745\) | −9.44550 | − | 12.6875i | −0.346056 | − | 0.464834i | ||||
\(746\) | 4.96605 | + | 28.1639i | 0.181820 | + | 1.03115i | ||||
\(747\) | 0.342154 | − | 0.581261i | 0.0125188 | − | 0.0212672i | ||||
\(748\) | 0.505593 | − | 2.86736i | 0.0184863 | − | 0.104841i | ||||
\(749\) | −17.2719 | + | 8.67428i | −0.631102 | + | 0.316951i | ||||
\(750\) | 40.6404 | − | 2.19525i | 1.48398 | − | 0.0801591i | ||||
\(751\) | −21.2600 | − | 2.48494i | −0.775788 | − | 0.0906766i | −0.281020 | − | 0.959702i | \(-0.590673\pi\) |
−0.494768 | + | 0.869025i | \(0.664747\pi\) | |||||||
\(752\) | −5.41740 | + | 3.56308i | −0.197552 | + | 0.129932i | ||||
\(753\) | −8.24095 | − | 0.514832i | −0.300317 | − | 0.0187615i | ||||
\(754\) | −0.165706 | − | 0.553496i | −0.00603465 | − | 0.0201571i | ||||
\(755\) | −6.17048 | + | 10.6876i | −0.224567 | + | 0.388961i | ||||
\(756\) | 0.804578 | − | 0.934606i | 0.0292622 | − | 0.0339913i | ||||
\(757\) | 12.5431 | + | 21.7253i | 0.455886 | + | 0.789618i | 0.998739 | − | 0.0502098i | \(-0.0159890\pi\) |
−0.542852 | + | 0.839828i | \(0.682656\pi\) | |||||||
\(758\) | −31.8843 | + | 33.7954i | −1.15809 | + | 1.22750i | ||||
\(759\) | 2.37025 | − | 9.81634i | 0.0860345 | − | 0.356310i | ||||
\(760\) | −3.19288 | − | 54.8196i | −0.115818 | − | 1.98852i | ||||
\(761\) | −18.6271 | − | 43.1825i | −0.675233 | − | 1.56537i | −0.817750 | − | 0.575573i | \(-0.804779\pi\) |
0.142517 | − | 0.989792i | \(-0.454480\pi\) | |||||||
\(762\) | 19.5571 | − | 18.2960i | 0.708479 | − | 0.662795i | ||||
\(763\) | −1.54431 | + | 26.5148i | −0.0559078 | + | 0.959900i | ||||
\(764\) | −1.86751 | + | 0.679718i | −0.0675641 | + | 0.0245913i | ||||
\(765\) | −55.4147 | + | 57.7532i | −2.00352 | + | 2.08807i | ||||
\(766\) | 12.7676 | + | 4.64704i | 0.461314 | + | 0.167905i | ||||
\(767\) | 1.47838 | − | 3.42726i | 0.0533811 | − | 0.123751i | ||||
\(768\) | −1.90011 | − | 5.28977i | −0.0685645 | − | 0.190878i | ||||
\(769\) | −45.2867 | + | 10.7331i | −1.63308 | + | 0.387047i | −0.941968 | − | 0.335702i | \(-0.891027\pi\) |
−0.691111 | + | 0.722749i | \(0.742878\pi\) | |||||||
\(770\) | 27.0656 | − | 6.41467i | 0.975377 | − | 0.231168i | ||||
\(771\) | −5.17972 | − | 0.935846i | −0.186543 | − | 0.0337037i | ||||
\(772\) | 1.14289 | − | 2.64951i | 0.0411334 | − | 0.0953580i | ||||
\(773\) | 37.5202 | + | 13.6562i | 1.34951 | + | 0.491180i | 0.912794 | − | 0.408420i | \(-0.133920\pi\) |
0.436713 | + | 0.899601i | \(0.356142\pi\) | |||||||
\(774\) | 7.85228 | + | 10.7351i | 0.282244 | + | 0.385867i | ||||
\(775\) | 35.2298 | − | 12.8226i | 1.26549 | − | 0.460601i | ||||
\(776\) | 2.64163 | − | 45.3550i | 0.0948290 | − | 1.62815i | ||||
\(777\) | −1.06683 | − | 0.324291i | −0.0382721 | − | 0.0116339i | ||||
\(778\) | −9.49424 | − | 22.0101i | −0.340385 | − | 0.789101i | ||||
\(779\) | 1.24438 | + | 21.3651i | 0.0445844 | + | 0.765485i | ||||
\(780\) | 1.21341 | + | 1.15450i | 0.0434471 | + | 0.0413376i | ||||
\(781\) | −29.3148 | + | 31.0719i | −1.04897 | + | 1.11184i | ||||
\(782\) | 9.10598 | + | 15.7720i | 0.325629 | + | 0.564006i | ||||
\(783\) | 1.07477 | + | 0.479816i | 0.0384093 | + | 0.0171472i | ||||
\(784\) | −7.32333 | + | 12.6844i | −0.261548 | + | 0.453014i | ||||
\(785\) | −8.17085 | − | 27.2925i | −0.291630 | − | 0.974112i | ||||
\(786\) | 11.4005 | + | 22.9407i | 0.406641 | + | 0.818268i | ||||
\(787\) | −10.6553 | + | 7.00813i | −0.379822 | + | 0.249813i | −0.725036 | − | 0.688711i | \(-0.758177\pi\) |
0.345214 | + | 0.938524i | \(0.387806\pi\) | |||||||
\(788\) | −2.43892 | − | 0.285069i | −0.0868829 | − | 0.0101552i | ||||
\(789\) | −19.5819 | + | 38.5845i | −0.697134 | + | 1.37364i | ||||
\(790\) | 12.1863 | − | 6.12020i | 0.433570 | − | 0.217747i | ||||
\(791\) | −0.643309 | + | 3.64839i | −0.0228734 | + | 0.129722i | ||||
\(792\) | −20.6562 | + | 17.0380i | −0.733985 | + | 0.605420i | ||||
\(793\) | 4.14890 | + | 23.5296i | 0.147332 | + | 0.835560i | ||||
\(794\) | −13.6935 | − | 18.3936i | −0.485966 | − | 0.652765i | ||||
\(795\) | 34.7342 | − | 19.8591i | 1.23190 | − | 0.704331i | ||||
\(796\) | −2.27481 | − | 2.41115i | −0.0806284 | − | 0.0854611i | ||||
\(797\) | 4.49756 | − | 15.0229i | 0.159312 | − | 0.532138i | −0.840644 | − | 0.541589i | \(-0.817823\pi\) |
0.999955 | + | 0.00945062i | \(0.00300827\pi\) | |||||||
\(798\) | −7.06410 | + | 19.1569i | −0.250066 | + | 0.678147i | ||||
\(799\) | 12.1560 | − | 1.42083i | 0.430048 | − | 0.0502654i | ||||
\(800\) | 5.59282 | − | 4.69294i | 0.197736 | − | 0.165920i | ||||
\(801\) | −17.9394 | + | 11.5835i | −0.633858 | + | 0.409284i | ||||
\(802\) | −2.74902 | − | 2.30670i | −0.0970713 | − | 0.0814525i | ||||
\(803\) | 8.10101 | + | 5.32812i | 0.285878 | + | 0.188025i | ||||
\(804\) | −1.19377 | − | 0.896570i | −0.0421010 | − | 0.0316196i | ||||
\(805\) | 7.57167 | − | 10.1705i | 0.266866 | − | 0.358464i | ||||
\(806\) | −8.97917 | − | 4.50951i | −0.316278 | − | 0.158841i | ||||
\(807\) | 4.90248 | + | 43.5335i | 0.172576 | + | 1.53245i | ||||
\(808\) | 24.3841 | + | 5.77914i | 0.857829 | + | 0.203309i | ||||
\(809\) | 21.4680 | 0.754776 | 0.377388 | − | 0.926055i | \(-0.376822\pi\) | ||||
0.377388 | + | 0.926055i | \(0.376822\pi\) | |||||||
\(810\) | 46.5873 | − | 4.65082i | 1.63691 | − | 0.163413i | ||||
\(811\) | −27.3610 | −0.960774 | −0.480387 | − | 0.877057i | \(-0.659504\pi\) | ||||
−0.480387 | + | 0.877057i | \(0.659504\pi\) | |||||||
\(812\) | −0.0523109 | − | 0.0123979i | −0.00183575 | − | 0.000435081i | ||||
\(813\) | −36.0504 | − | 15.7311i | −1.26434 | − | 0.551714i | ||||
\(814\) | 1.37611 | + | 0.691109i | 0.0482327 | + | 0.0242234i | ||||
\(815\) | 22.1121 | − | 29.7017i | 0.774554 | − | 1.04041i | ||||
\(816\) | 5.41177 | − | 44.6676i | 0.189450 | − | 1.56368i | ||||
\(817\) | 13.4081 | + | 8.81862i | 0.469089 | + | 0.308524i | ||||
\(818\) | −8.21565 | − | 6.89375i | −0.287253 | − | 0.241034i | ||||
\(819\) | −3.80208 | − | 9.02252i | −0.132855 | − | 0.315273i | ||||
\(820\) | −1.71705 | + | 1.44078i | −0.0599620 | + | 0.0503141i | ||||
\(821\) | 20.6016 | − | 2.40798i | 0.719002 | − | 0.0840392i | 0.251279 | − | 0.967915i | \(-0.419149\pi\) |
0.467722 | + | 0.883875i | \(0.345075\pi\) | |||||||
\(822\) | 19.1601 | + | 23.0306i | 0.668287 | + | 0.803283i | ||||
\(823\) | 11.2122 | − | 37.4515i | 0.390834 | − | 1.30548i | −0.505780 | − | 0.862662i | \(-0.668795\pi\) |
0.896614 | − | 0.442813i | \(-0.146020\pi\) | |||||||
\(824\) | −2.31131 | − | 2.44984i | −0.0805182 | − | 0.0853443i | ||||
\(825\) | −43.5862 | − | 25.4100i | −1.51748 | − | 0.884661i | ||||
\(826\) | 2.84581 | + | 3.82259i | 0.0990185 | + | 0.133005i | ||||
\(827\) | 5.22465 | + | 29.6305i | 0.181679 | + | 1.03035i | 0.930149 | + | 0.367183i | \(0.119678\pi\) |
−0.748470 | + | 0.663169i | \(0.769211\pi\) | |||||||
\(828\) | −0.141254 | + | 0.763410i | −0.00490890 | + | 0.0265303i | ||||
\(829\) | −4.90492 | + | 27.8172i | −0.170355 | + | 0.966132i | 0.773015 | + | 0.634388i | \(0.218748\pi\) |
−0.943370 | + | 0.331743i | \(0.892363\pi\) | |||||||
\(830\) | −1.04518 | + | 0.524908i | −0.0362787 | + | 0.0182198i | ||||
\(831\) | −27.2184 | − | 41.7658i | −0.944194 | − | 1.44884i | ||||
\(832\) | −15.7109 | − | 1.83634i | −0.544677 | − | 0.0636636i | ||||
\(833\) | 23.0975 | − | 15.1915i | 0.800281 | − | 0.526353i | ||||
\(834\) | 12.7014 | − | 19.1355i | 0.439815 | − | 0.662607i | ||||
\(835\) | −0.787319 | − | 2.62983i | −0.0272463 | − | 0.0910089i | ||||
\(836\) | −1.02750 | + | 1.77968i | −0.0355368 | + | 0.0615515i | ||||
\(837\) | 18.8963 | − | 7.86928i | 0.653153 | − | 0.272002i | ||||
\(838\) | −21.6113 | − | 37.4318i | −0.746548 | − | 1.29306i | ||||
\(839\) | −13.5777 | + | 14.3916i | −0.468756 | + | 0.496852i | −0.918013 | − | 0.396550i | \(-0.870207\pi\) |
0.449257 | + | 0.893402i | \(0.351689\pi\) | |||||||
\(840\) | −32.2480 | + | 9.50654i | −1.11266 | + | 0.328007i | ||||
\(841\) | 1.68322 | + | 28.8997i | 0.0580420 | + | 0.996542i | ||||
\(842\) | −0.280205 | − | 0.649589i | −0.00965651 | − | 0.0223863i | ||||
\(843\) | 0.723863 | + | 3.11261i | 0.0249312 | + | 0.107204i | ||||
\(844\) | −0.121241 | + | 2.08162i | −0.00417328 | + | 0.0716524i | ||||
\(845\) | −34.0490 | + | 12.3928i | −1.17132 | + | 0.426326i | ||||
\(846\) | −5.94796 | − | 3.98424i | −0.204495 | − | 0.136981i | ||||
\(847\) | 2.67949 | + | 0.975255i | 0.0920684 | + | 0.0335102i | ||||
\(848\) | −8.90869 | + | 20.6527i | −0.305926 | + | 0.709215i | ||||
\(849\) | 6.71985 | − | 7.94022i | 0.230625 | − | 0.272508i | ||||
\(850\) | 88.5349 | − | 20.9832i | 3.03672 | − | 0.719717i | ||||
\(851\) | 0.683037 | − | 0.161883i | 0.0234142 | − | 0.00554927i | ||||
\(852\) | 2.12159 | − | 2.50689i | 0.0726846 | − | 0.0858846i | ||||
\(853\) | 18.0261 | − | 41.7892i | 0.617202 | − | 1.43083i | −0.266985 | − | 0.963701i | \(-0.586027\pi\) |
0.884186 | − | 0.467134i | \(-0.154713\pi\) | |||||||
\(854\) | −28.6657 | − | 10.4335i | −0.980921 | − | 0.357026i | ||||
\(855\) | 50.6943 | − | 24.9269i | 1.73371 | − | 0.852482i | ||||
\(856\) | −30.3173 | + | 11.0346i | −1.03623 | + | 0.377155i | ||||
\(857\) | −1.76854 | + | 30.3646i | −0.0604121 | + | 1.03723i | 0.822821 | + | 0.568301i | \(0.192399\pi\) |
−0.883233 | + | 0.468934i | \(0.844638\pi\) | |||||||
\(858\) | 3.06286 | + | 13.1703i | 0.104564 | + | 0.449626i | ||||
\(859\) | 10.7791 | + | 24.9887i | 0.367777 | + | 0.852604i | 0.997146 | + | 0.0754971i | \(0.0240544\pi\) |
−0.629369 | + | 0.777107i | \(0.716686\pi\) | |||||||
\(860\) | 0.0977294 | + | 1.67795i | 0.00333255 | + | 0.0572176i | ||||
\(861\) | 12.5682 | − | 3.70503i | 0.428322 | − | 0.126267i | ||||
\(862\) | −10.6201 | + | 11.2566i | −0.361720 | + | 0.383401i | ||||
\(863\) | 5.22187 | + | 9.04454i | 0.177754 | + | 0.307880i | 0.941111 | − | 0.338098i | \(-0.109783\pi\) |
−0.763357 | + | 0.645977i | \(0.776450\pi\) | |||||||
\(864\) | 2.93380 | − | 2.69862i | 0.0998099 | − | 0.0918090i | ||||
\(865\) | 4.17913 | − | 7.23847i | 0.142095 | − | 0.246115i | ||||
\(866\) | 2.81788 | + | 9.41238i | 0.0957555 | + | 0.319846i | ||||
\(867\) | −30.6827 | + | 46.2253i | −1.04204 | + | 1.56989i | ||||
\(868\) | −0.781129 | + | 0.513757i | −0.0265132 | + | 0.0174380i | ||||
\(869\) | −7.96905 | − | 0.931448i | −0.270331 | − | 0.0315972i | ||||
\(870\) | −1.11434 | − | 1.70993i | −0.0377798 | − | 0.0579720i | ||||
\(871\) | −10.5922 | + | 5.31963i | −0.358905 | + | 0.180249i | ||||
\(872\) | −7.69871 | + | 43.6615i | −0.260711 | + | 1.47857i | ||||
\(873\) | 44.0526 | − | 15.6147i | 1.49095 | − | 0.528476i | ||||
\(874\) | −2.23207 | − | 12.6587i | −0.0755008 | − | 0.428186i | ||||
\(875\) | −17.9543 | − | 24.1168i | −0.606965 | − | 0.815295i | ||||
\(876\) | −0.643993 | − | 0.375437i | −0.0217585 | − | 0.0126848i | ||||
\(877\) | 28.5659 | + | 30.2781i | 0.964603 | + | 1.02242i | 0.999735 | + | 0.0230363i | \(0.00733332\pi\) |
−0.0351321 | + | 0.999383i | \(0.511185\pi\) | |||||||
\(878\) | 0.715657 | − | 2.39046i | 0.0241522 | − | 0.0806741i | ||||
\(879\) | −11.7654 | − | 14.1420i | −0.396837 | − | 0.476999i | ||||
\(880\) | 42.9700 | − | 5.02247i | 1.44852 | − | 0.169307i | ||||
\(881\) | 35.1204 | − | 29.4695i | 1.18324 | − | 0.992854i | 0.183285 | − | 0.983060i | \(-0.441327\pi\) |
0.999952 | − | 0.00979405i | \(-0.00311759\pi\) | |||||||
\(882\) | −16.0456 | − | 2.01267i | −0.540283 | − | 0.0677701i | ||||
\(883\) | 4.08407 | + | 3.42694i | 0.137440 | + | 0.115326i | 0.708916 | − | 0.705293i | \(-0.249185\pi\) |
−0.571476 | + | 0.820619i | \(0.693629\pi\) | |||||||
\(884\) | 1.48479 | + | 0.976564i | 0.0499390 | + | 0.0328454i | ||||
\(885\) | 1.58588 | − | 13.0895i | 0.0533089 | − | 0.439999i | ||||
\(886\) | −12.8898 | + | 17.3140i | −0.433041 | + | 0.581675i | ||||
\(887\) | −32.8189 | − | 16.4823i | −1.10195 | − | 0.553421i | −0.197632 | − | 0.980276i | \(-0.563325\pi\) |
−0.904320 | + | 0.426855i | \(0.859621\pi\) | |||||||
\(888\) | −1.70592 | − | 0.744404i | −0.0572470 | − | 0.0249806i | ||||
\(889\) | −19.2508 | − | 4.56251i | −0.645650 | − | 0.153022i | ||||
\(890\) | 37.0288 | 1.24121 | ||||||||
\(891\) | −24.4043 | − | 12.7758i | −0.817574 | − | 0.428006i | ||||
\(892\) | 1.95145 | 0.0653393 | ||||||||
\(893\) | −8.40524 | − | 1.99208i | −0.281271 | − | 0.0666624i | ||||
\(894\) | 1.09863 | + | 9.75575i | 0.0367438 | + | 0.326281i | ||||
\(895\) | 86.4672 | + | 43.4254i | 2.89028 | + | 1.45155i | ||||
\(896\) | 10.4595 | − | 14.0496i | 0.349428 | − | 0.469363i | ||||
\(897\) | 4.92859 | + | 3.70158i | 0.164561 | + | 0.123592i | ||||
\(898\) | −11.0722 | − | 7.28227i | −0.369483 | − | 0.243013i | ||||
\(899\) | −0.683562 | − | 0.573576i | −0.0227981 | − | 0.0191298i | ||||
\(900\) | 3.45140 | + | 1.76993i | 0.115047 | + | 0.0589978i | ||||
\(901\) | 32.5216 | − | 27.2888i | 1.08345 | − | 0.909122i | ||||
\(902\) | −17.9734 | + | 2.10079i | −0.598450 | + | 0.0699487i | ||||
\(903\) | 3.39938 | − | 9.21867i | 0.113124 | − | 0.306778i | ||||
\(904\) | −1.77361 | + | 5.92426i | −0.0589893 | + | 0.197038i | ||||
\(905\) | 31.5234 | + | 33.4129i | 1.04787 | + | 1.11068i | ||||
\(906\) | 6.64956 | − | 3.80186i | 0.220917 | − | 0.126308i | ||||
\(907\) | 27.5119 | + | 36.9549i | 0.913517 | + | 1.22707i | 0.973458 | + | 0.228864i | \(0.0735012\pi\) |
−0.0599413 | + | 0.998202i | \(0.519091\pi\) | |||||||
\(908\) | −0.264678 | − | 1.50106i | −0.00878364 | − | 0.0498145i | ||||
\(909\) | 4.26254 | + | 25.4252i | 0.141380 | + | 0.843301i | ||||
\(910\) | −2.94815 | + | 16.7198i | −0.0977304 | + | 0.554257i | ||||
\(911\) | 22.9336 | − | 11.5177i | 0.759825 | − | 0.381598i | −0.0263096 | − | 0.999654i | \(-0.508376\pi\) |
0.786135 | + | 0.618055i | \(0.212079\pi\) | |||||||
\(912\) | −14.3719 | + | 28.3186i | −0.475901 | + | 0.937723i | ||||
\(913\) | 0.683478 | + | 0.0798871i | 0.0226198 | + | 0.00264388i | ||||
\(914\) | −2.93113 | + | 1.92784i | −0.0969533 | + | 0.0637672i | ||||
\(915\) | 37.5610 | + | 75.5826i | 1.24173 | + | 2.49868i | ||||
\(916\) | 0.374010 | + | 1.24928i | 0.0123576 | + | 0.0412774i | ||||
\(917\) | 9.46217 | − | 16.3890i | 0.312468 | − | 0.541211i | ||||
\(918\) | 47.7672 | − | 13.6450i | 1.57655 | − | 0.450354i | ||||
\(919\) | −4.49268 | − | 7.78154i | −0.148200 | − | 0.256689i | 0.782362 | − | 0.622823i | \(-0.214015\pi\) |
−0.930562 | + | 0.366134i | \(0.880681\pi\) | |||||||
\(920\) | 14.5245 | − | 15.3951i | 0.478860 | − | 0.507562i | ||||
\(921\) | 2.12244 | + | 2.01939i | 0.0699367 | + | 0.0665411i | ||||
\(922\) | −0.257412 | − | 4.41959i | −0.00847740 | − | 0.145551i | ||||
\(923\) | −10.3273 | − | 23.9414i | −0.339928 | − | 0.788041i | ||||
\(924\) | 1.20378 | + | 0.365922i | 0.0396014 | + | 0.0120379i | ||||
\(925\) | 0.203914 | − | 3.50107i | 0.00670466 | − | 0.115115i | ||||
\(926\) | −12.4541 | + | 4.53293i | −0.409268 | + | 0.148961i | ||||
\(927\) | 1.39914 | − | 3.16985i | 0.0459537 | − | 0.104111i | ||||
\(928\) | −0.163291 | − | 0.0594331i | −0.00536029 | − | 0.00195099i | ||||
\(929\) | 11.6077 | − | 26.9098i | 0.380838 | − | 0.882881i | −0.614721 | − | 0.788744i | \(-0.710732\pi\) |
0.995559 | − | 0.0941370i | \(-0.0300092\pi\) | |||||||
\(930\) | −34.9291 | − | 6.31082i | −1.14537 | − | 0.206940i | ||||
\(931\) | −18.9862 | + | 4.49982i | −0.622248 | + | 0.147475i | ||||
\(932\) | −2.31917 | + | 0.549654i | −0.0759671 | + | 0.0180045i | ||||
\(933\) | −15.9014 | − | 44.2683i | −0.520589 | − | 1.44928i | ||||
\(934\) | 1.71478 | − | 3.97532i | 0.0561094 | − | 0.130076i | ||||
\(935\) | −76.7333 | − | 27.9286i | −2.50945 | − | 0.913364i | ||||
\(936\) | −4.55527 | − | 15.6959i | −0.148894 | − | 0.513036i | ||||
\(937\) | 31.9986 | − | 11.6465i | 1.04535 | − | 0.380476i | 0.238443 | − | 0.971157i | \(-0.423363\pi\) |
0.806905 | + | 0.590681i | \(0.201141\pi\) | |||||||
\(938\) | 0.879943 | − | 15.1080i | 0.0287312 | − | 0.493295i | ||||
\(939\) | −34.0718 | + | 31.8748i | −1.11189 | + | 1.04020i | ||||
\(940\) | −0.358334 | − | 0.830712i | −0.0116876 | − | 0.0270948i | ||||
\(941\) | −1.59786 | − | 27.4342i | −0.0520887 | − | 0.894328i | −0.918604 | − | 0.395178i | \(-0.870683\pi\) |
0.866516 | − | 0.499150i | \(-0.166354\pi\) | |||||||
\(942\) | −4.15034 | + | 17.1886i | −0.135226 | + | 0.560034i | ||||
\(943\) | −5.66072 | + | 6.00001i | −0.184338 | + | 0.195387i | ||||
\(944\) | 3.70607 | + | 6.41910i | 0.120622 | + | 0.208924i | ||||
\(945\) | −21.8952 | − | 26.7738i | −0.712250 | − | 0.870952i | ||||
\(946\) | −6.78473 | + | 11.7515i | −0.220591 | + | 0.382074i | ||||
\(947\) | 5.05308 | + | 16.8785i | 0.164203 | + | 0.548476i | 1.00000 | 0.000562705i | \(-0.000179114\pi\) | |
−0.835797 | + | 0.549039i | \(0.814994\pi\) | |||||||
\(948\) | 0.615631 | + | 0.0384600i | 0.0199948 | + | 0.00124912i | ||||
\(949\) | −4.94464 | + | 3.25214i | −0.160510 | + | 0.105569i | ||||
\(950\) | −63.7846 | − | 7.45535i | −2.06944 | − | 0.241883i | ||||
\(951\) | −9.21224 | + | 0.497612i | −0.298727 | + | 0.0161362i | ||||
\(952\) | −31.8786 | + | 16.0100i | −1.03319 | + | 0.518888i | ||||
\(953\) | 1.89789 | − | 10.7635i | 0.0614788 | − | 0.348663i | −0.938515 | − | 0.345237i | \(-0.887798\pi\) |
0.999994 | − | 0.00342592i | \(-0.00109051\pi\) | |||||||
\(954\) | −24.8326 | − | 0.209280i | −0.803985 | − | 0.00677570i | ||||
\(955\) | 9.67864 | + | 54.8903i | 0.313194 | + | 1.77621i | ||||
\(956\) | −2.21519 | − | 2.97551i | −0.0716442 | − | 0.0962349i | ||||
\(957\) | −0.00505992 | + | 1.20081i | −0.000163564 | + | 0.0388168i | ||||
\(958\) | 25.9476 | + | 27.5028i | 0.838328 | + | 0.888576i | ||||
\(959\) | 6.34735 | − | 21.2016i | 0.204967 | − | 0.684636i | ||||
\(960\) | −55.0685 | + | 9.47098i | −1.77733 | + | 0.305675i | ||||
\(961\) | 15.3769 | − | 1.79730i | 0.496029 | − | 0.0579775i | ||||
\(962\) | −0.720018 | + | 0.604167i | −0.0232143 | + | 0.0194791i | ||||
\(963\) | −22.5725 | − | 24.3331i | −0.727389 | − | 0.784122i | ||||
\(964\) | −0.541280 | − | 0.454188i | −0.0174335 | − | 0.0146284i | ||||
\(965\) | −67.6127 | − | 44.4696i | −2.17653 | − | 1.43153i | ||||
\(966\) | −7.23925 | + | 3.08659i | −0.232919 | + | 0.0993095i | ||||
\(967\) | 18.1200 | − | 24.3393i | 0.582699 | − | 0.782700i | −0.408827 | − | 0.912612i | \(-0.634062\pi\) |
0.991526 | + | 0.129912i | \(0.0414693\pi\) | |||||||
\(968\) | 4.25353 | + | 2.13620i | 0.136714 | + | 0.0686601i | ||||
\(969\) | 48.2304 | − | 35.5913i | 1.54938 | − | 1.14336i | ||||
\(970\) | −78.8608 | − | 18.6903i | −2.53207 | − | 0.600111i | ||||
\(971\) | 33.6807 | 1.08087 | 0.540433 | − | 0.841387i | \(-0.318261\pi\) | ||||
0.540433 | + | 0.841387i | \(0.318261\pi\) | |||||||
\(972\) | 1.92645 | + | 0.879577i | 0.0617909 | + | 0.0282124i | ||||
\(973\) | −16.9666 | −0.543925 | ||||||||
\(974\) | 13.9349 | + | 3.30263i | 0.446503 | + | 0.105823i | ||||
\(975\) | 24.7784 | − | 18.2850i | 0.793542 | − | 0.585590i | ||||
\(976\) | −42.3997 | − | 21.2940i | −1.35718 | − | 0.681603i | ||||
\(977\) | 3.67684 | − | 4.93885i | 0.117633 | − | 0.158008i | −0.739407 | − | 0.673259i | \(-0.764894\pi\) |
0.857039 | + | 0.515251i | \(0.172301\pi\) | |||||||
\(978\) | −21.1413 | + | 9.01401i | −0.676025 | + | 0.288236i | ||||
\(979\) | −18.2020 | − | 11.9717i | −0.581740 | − | 0.382616i | ||||
\(980\) | −1.56548 | − | 1.31359i | −0.0500075 | − | 0.0419612i | ||||
\(981\) | −44.4674 | + | 10.1439i | −1.41973 | + | 0.323871i | ||||
\(982\) | −6.19967 | + | 5.20214i | −0.197839 | + | 0.166007i | ||||
\(983\) | 10.9616 | − | 1.28123i | 0.349622 | − | 0.0408650i | 0.0605304 | − | 0.998166i | \(-0.480721\pi\) |
0.289092 | + | 0.957301i | \(0.406647\pi\) | |||||||
\(984\) | 21.5557 | − | 3.70726i | 0.687169 | − | 0.118183i | ||||
\(985\) | −19.7513 | + | 65.9739i | −0.629328 | + | 2.10210i | ||||
\(986\) | −1.48614 | − | 1.57521i | −0.0473282 | − | 0.0501650i | ||||
\(987\) | −0.0222848 | + | 5.28860i | −0.000709333 | + | 0.168338i | ||||
\(988\) | −0.749024 | − | 1.00611i | −0.0238296 | − | 0.0320088i | ||||
\(989\) | 1.07411 | + | 6.09160i | 0.0341548 | + | 0.193702i | ||||
\(990\) | 23.5335 | + | 41.5663i | 0.747944 | + | 1.32106i | ||||
\(991\) | 1.88340 | − | 10.6813i | 0.0598283 | − | 0.339303i | −0.940171 | − | 0.340704i | \(-0.889335\pi\) |
0.999999 | + | 0.00140066i | \(0.000445845\pi\) | |||||||
\(992\) | −2.70059 | + | 1.35629i | −0.0857439 | + | 0.0430622i | ||||
\(993\) | −25.0106 | + | 1.35098i | −0.793687 | + | 0.0428721i | ||||
\(994\) | 33.0653 | + | 3.86478i | 1.04877 | + | 0.122583i | ||||
\(995\) | −77.6738 | + | 51.0869i | −2.46243 | + | 1.61956i | ||||
\(996\) | −0.0528006 | − | 0.00329858i | −0.00167305 | − | 0.000104520i | ||||
\(997\) | 5.56288 | + | 18.5813i | 0.176178 | + | 0.588476i | 0.999773 | + | 0.0212977i | \(0.00677978\pi\) |
−0.823595 | + | 0.567178i | \(0.808035\pi\) | |||||||
\(998\) | 26.0216 | − | 45.0707i | 0.823698 | − | 1.42669i | ||||
\(999\) | 0.0242043 | − | 1.91462i | 0.000765792 | − | 0.0605760i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 81.2.g.a.16.7 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.208.2 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.379.7 | 144 | |||
9.4 | even | 3 | 729.2.g.d.622.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.622.7 | 144 | |||
9.7 | even | 3 | 729.2.g.c.379.2 | 144 | |||
81.5 | odd | 54 | 243.2.g.a.118.2 | 144 | |||
81.20 | odd | 54 | 6561.2.a.d.1.20 | 72 | |||
81.22 | even | 27 | 729.2.g.c.352.2 | 144 | |||
81.32 | odd | 54 | 729.2.g.a.109.7 | 144 | |||
81.49 | even | 27 | 729.2.g.d.109.2 | 144 | |||
81.59 | odd | 54 | 729.2.g.b.352.7 | 144 | |||
81.61 | even | 27 | 6561.2.a.c.1.53 | 72 | |||
81.76 | even | 27 | inner | 81.2.g.a.76.7 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.16.7 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.76.7 | yes | 144 | 81.76 | even | 27 | inner | |
243.2.g.a.118.2 | 144 | 81.5 | odd | 54 | |||
243.2.g.a.208.2 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.109.7 | 144 | 81.32 | odd | 54 | |||
729.2.g.a.622.7 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.352.7 | 144 | 81.59 | odd | 54 | |||
729.2.g.b.379.7 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.352.2 | 144 | 81.22 | even | 27 | |||
729.2.g.c.379.2 | 144 | 9.7 | even | 3 | |||
729.2.g.d.109.2 | 144 | 81.49 | even | 27 | |||
729.2.g.d.622.2 | 144 | 9.4 | even | 3 | |||
6561.2.a.c.1.53 | 72 | 81.61 | even | 27 | |||
6561.2.a.d.1.20 | 72 | 81.20 | odd | 54 |