Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(11,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bm (of order \(6\), degree \(2\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 360.11 |
Dual form | 360.2.bm.a.131.11 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.325988 | + | 1.37613i | −0.230508 | + | 0.973070i | ||||
\(3\) | 1.62132 | − | 0.609351i | 0.936072 | − | 0.351809i | ||||
\(4\) | −1.78746 | − | 0.897203i | −0.893732 | − | 0.448602i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0.310014 | + | 2.42979i | 0.126563 | + | 0.991959i | ||||
\(7\) | 0.518944 | + | 0.299612i | 0.196142 | + | 0.113243i | 0.594855 | − | 0.803833i | \(-0.297210\pi\) |
−0.398713 | + | 0.917076i | \(0.630543\pi\) | |||||||
\(8\) | 1.81736 | − | 2.16730i | 0.642534 | − | 0.766258i | ||||
\(9\) | 2.25738 | − | 1.97591i | 0.752461 | − | 0.658637i | ||||
\(10\) | 1.35476 | − | 0.405751i | 0.428412 | − | 0.128310i | ||||
\(11\) | 0.700444 | + | 0.404402i | 0.211192 | + | 0.121932i | 0.601865 | − | 0.798598i | \(-0.294424\pi\) |
−0.390673 | + | 0.920529i | \(0.627758\pi\) | |||||||
\(12\) | −3.44477 | − | 0.365464i | −0.994419 | − | 0.105500i | ||||
\(13\) | 3.52330 | − | 2.03418i | 0.977187 | − | 0.564179i | 0.0757674 | − | 0.997126i | \(-0.475859\pi\) |
0.901420 | + | 0.432946i | \(0.142526\pi\) | |||||||
\(14\) | −0.581475 | + | 0.616464i | −0.155406 | + | 0.164757i | ||||
\(15\) | −1.33838 | − | 1.09943i | −0.345567 | − | 0.283872i | ||||
\(16\) | 2.39005 | + | 3.20744i | 0.597513 | + | 0.801859i | ||||
\(17\) | 1.87026i | 0.453604i | 0.973941 | + | 0.226802i | \(0.0728270\pi\) | ||||
−0.973941 | + | 0.226802i | \(0.927173\pi\) | |||||||
\(18\) | 1.98323 | + | 3.75057i | 0.467452 | + | 0.884019i | ||||
\(19\) | 3.32144 | 0.761992 | 0.380996 | − | 0.924577i | \(-0.375581\pi\) | ||||
0.380996 | + | 0.924577i | \(0.375581\pi\) | |||||||
\(20\) | 0.116731 | + | 1.99659i | 0.0261018 | + | 0.446451i | ||||
\(21\) | 1.02395 | + | 0.169550i | 0.223443 | + | 0.0369988i | ||||
\(22\) | −0.784846 | + | 0.832072i | −0.167330 | + | 0.177398i | ||||
\(23\) | −1.00356 | − | 1.73822i | −0.209257 | − | 0.362444i | 0.742224 | − | 0.670152i | \(-0.233771\pi\) |
−0.951481 | + | 0.307708i | \(0.900438\pi\) | |||||||
\(24\) | 1.62588 | − | 4.62131i | 0.331881 | − | 0.943321i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 1.65074 | + | 5.51163i | 0.323736 | + | 1.08092i | ||||
\(27\) | 2.45592 | − | 4.57913i | 0.472643 | − | 0.881254i | ||||
\(28\) | −0.658780 | − | 1.00114i | −0.124498 | − | 0.189198i | ||||
\(29\) | −1.38869 | + | 2.40528i | −0.257873 | + | 0.446649i | −0.965672 | − | 0.259765i | \(-0.916355\pi\) |
0.707799 | + | 0.706414i | \(0.249688\pi\) | |||||||
\(30\) | 1.94926 | − | 1.48338i | 0.355884 | − | 0.270826i | ||||
\(31\) | 4.04078 | − | 2.33294i | 0.725745 | − | 0.419009i | −0.0911183 | − | 0.995840i | \(-0.529044\pi\) |
0.816864 | + | 0.576831i | \(0.195711\pi\) | |||||||
\(32\) | −5.19298 | + | 2.24344i | −0.917997 | + | 0.396587i | ||||
\(33\) | 1.38207 | + | 0.228850i | 0.240588 | + | 0.0398376i | ||||
\(34\) | −2.57372 | − | 0.609681i | −0.441389 | − | 0.104560i | ||||
\(35\) | − | 0.599225i | − | 0.101287i | ||||||
\(36\) | −5.80778 | + | 1.50654i | −0.967964 | + | 0.251090i | ||||
\(37\) | − | 7.30473i | − | 1.20089i | −0.799666 | − | 0.600445i | \(-0.794990\pi\) | ||
0.799666 | − | 0.600445i | \(-0.205010\pi\) | |||||||
\(38\) | −1.08275 | + | 4.57074i | −0.175645 | + | 0.741471i | ||||
\(39\) | 4.47288 | − | 5.44499i | 0.716234 | − | 0.871896i | ||||
\(40\) | −2.78562 | − | 0.490228i | −0.440445 | − | 0.0775118i | ||||
\(41\) | −7.32564 | + | 4.22946i | −1.14407 | + | 0.660531i | −0.947436 | − | 0.319945i | \(-0.896335\pi\) |
−0.196637 | + | 0.980476i | \(0.563002\pi\) | |||||||
\(42\) | −0.567116 | + | 1.35381i | −0.0875079 | + | 0.208897i | ||||
\(43\) | −4.19270 | + | 7.26197i | −0.639381 | + | 1.10744i | 0.346188 | + | 0.938165i | \(0.387476\pi\) |
−0.985569 | + | 0.169275i | \(0.945857\pi\) | |||||||
\(44\) | −0.889188 | − | 1.35129i | −0.134050 | − | 0.203715i | ||||
\(45\) | −2.83988 | − | 0.966995i | −0.423344 | − | 0.144151i | ||||
\(46\) | 2.71917 | − | 0.814392i | 0.400919 | − | 0.120076i | ||||
\(47\) | −6.76075 | + | 11.7100i | −0.986157 | + | 1.70807i | −0.349479 | + | 0.936944i | \(0.613641\pi\) |
−0.636678 | + | 0.771130i | \(0.719692\pi\) | |||||||
\(48\) | 5.82950 | + | 3.74391i | 0.841416 | + | 0.540387i | ||||
\(49\) | −3.32046 | − | 5.75121i | −0.474352 | − | 0.821602i | ||||
\(50\) | −1.02877 | − | 0.970379i | −0.145490 | − | 0.137232i | ||||
\(51\) | 1.13964 | + | 3.03229i | 0.159582 | + | 0.424606i | ||||
\(52\) | −8.12284 | + | 0.474903i | −1.12644 | + | 0.0658572i | ||||
\(53\) | −5.27329 | −0.724343 | −0.362171 | − | 0.932112i | \(-0.617964\pi\) | ||||
−0.362171 | + | 0.932112i | \(0.617964\pi\) | |||||||
\(54\) | 5.50087 | + | 4.87241i | 0.748574 | + | 0.663051i | ||||
\(55\) | − | 0.808804i | − | 0.109059i | ||||||
\(56\) | 1.59246 | − | 0.580205i | 0.212801 | − | 0.0775332i | ||||
\(57\) | 5.38514 | − | 2.02393i | 0.713279 | − | 0.268076i | ||||
\(58\) | −2.85728 | − | 2.69511i | −0.375179 | − | 0.353885i | ||||
\(59\) | 6.41997 | − | 3.70657i | 0.835809 | − | 0.482554i | −0.0200287 | − | 0.999799i | \(-0.506376\pi\) |
0.855837 | + | 0.517245i | \(0.173042\pi\) | |||||||
\(60\) | 1.40588 | + | 3.16599i | 0.181499 | + | 0.408728i | ||||
\(61\) | 4.38245 | + | 2.53021i | 0.561115 | + | 0.323960i | 0.753593 | − | 0.657341i | \(-0.228319\pi\) |
−0.192478 | + | 0.981301i | \(0.561652\pi\) | |||||||
\(62\) | 1.89319 | + | 6.32115i | 0.240435 | + | 0.802786i | ||||
\(63\) | 1.76346 | − | 0.349047i | 0.222175 | − | 0.0439758i | ||||
\(64\) | −1.39441 | − | 7.87754i | −0.174301 | − | 0.984692i | ||||
\(65\) | −3.52330 | − | 2.03418i | −0.437011 | − | 0.252309i | ||||
\(66\) | −0.765465 | + | 1.82730i | −0.0942222 | + | 0.224926i | ||||
\(67\) | 6.68152 | + | 11.5727i | 0.816278 | + | 1.41383i | 0.908407 | + | 0.418088i | \(0.137300\pi\) |
−0.0921287 | + | 0.995747i | \(0.529367\pi\) | |||||||
\(68\) | 1.67800 | − | 3.34302i | 0.203488 | − | 0.405400i | ||||
\(69\) | −2.68629 | − | 2.20670i | −0.323391 | − | 0.265655i | ||||
\(70\) | 0.824611 | + | 0.195340i | 0.0985598 | + | 0.0233476i | ||||
\(71\) | −3.24261 | −0.384827 | −0.192414 | − | 0.981314i | \(-0.561632\pi\) | ||||
−0.192414 | + | 0.981314i | \(0.561632\pi\) | |||||||
\(72\) | −0.179923 | − | 8.48337i | −0.0212042 | − | 0.999775i | ||||
\(73\) | −16.0211 | −1.87513 | −0.937563 | − | 0.347815i | \(-0.886924\pi\) | ||||
−0.937563 | + | 0.347815i | \(0.886924\pi\) | |||||||
\(74\) | 10.0523 | + | 2.38125i | 1.16855 | + | 0.276815i | ||||
\(75\) | −0.282948 | + | 1.70878i | −0.0326721 | + | 0.197313i | ||||
\(76\) | −5.93696 | − | 2.98001i | −0.681016 | − | 0.341831i | ||||
\(77\) | 0.242328 | + | 0.419724i | 0.0276158 | + | 0.0478319i | ||||
\(78\) | 6.03490 | + | 7.93026i | 0.683318 | + | 0.897925i | ||||
\(79\) | −3.85168 | − | 2.22377i | −0.433348 | − | 0.250193i | 0.267424 | − | 0.963579i | \(-0.413828\pi\) |
−0.700772 | + | 0.713385i | \(0.747161\pi\) | |||||||
\(80\) | 1.58270 | − | 3.67356i | 0.176951 | − | 0.410717i | ||||
\(81\) | 1.19155 | − | 8.92077i | 0.132395 | − | 0.991197i | ||||
\(82\) | −3.43221 | − | 11.4598i | −0.379025 | − | 1.26552i | ||||
\(83\) | 4.04472 | + | 2.33522i | 0.443966 | + | 0.256324i | 0.705278 | − | 0.708930i | \(-0.250822\pi\) |
−0.261313 | + | 0.965254i | \(0.584155\pi\) | |||||||
\(84\) | −1.67814 | − | 1.22175i | −0.183101 | − | 0.133304i | ||||
\(85\) | 1.61969 | − | 0.935129i | 0.175680 | − | 0.101429i | ||||
\(86\) | −8.62665 | − | 8.13702i | −0.930235 | − | 0.877437i | ||||
\(87\) | −0.785854 | + | 4.74593i | −0.0842524 | + | 0.508818i | ||||
\(88\) | 2.14942 | − | 0.783132i | 0.229129 | − | 0.0834822i | ||||
\(89\) | − | 9.41789i | − | 0.998294i | −0.866517 | − | 0.499147i | \(-0.833647\pi\) | ||
0.866517 | − | 0.499147i | \(-0.166353\pi\) | |||||||
\(90\) | 2.25648 | − | 3.59281i | 0.237854 | − | 0.378716i | ||||
\(91\) | 2.43786 | 0.255557 | ||||||||
\(92\) | 0.234294 | + | 4.00741i | 0.0244268 | + | 0.417801i | ||||
\(93\) | 5.12983 | − | 6.24471i | 0.531938 | − | 0.647547i | ||||
\(94\) | −13.9105 | − | 13.1210i | −1.43476 | − | 1.35333i | ||||
\(95\) | −1.66072 | − | 2.87646i | −0.170387 | − | 0.295118i | ||||
\(96\) | −7.05246 | + | 6.80168i | −0.719788 | + | 0.694194i | ||||
\(97\) | 1.95567 | − | 3.38732i | 0.198568 | − | 0.343930i | −0.749496 | − | 0.662009i | \(-0.769704\pi\) |
0.948064 | + | 0.318078i | \(0.103038\pi\) | |||||||
\(98\) | 8.99685 | − | 2.69456i | 0.908819 | − | 0.272192i | ||||
\(99\) | 2.38023 | − | 0.471126i | 0.239222 | − | 0.0473500i | ||||
\(100\) | 1.67073 | − | 1.09939i | 0.167073 | − | 0.109939i | ||||
\(101\) | −0.225380 | + | 0.390370i | −0.0224262 | + | 0.0388433i | −0.877021 | − | 0.480453i | \(-0.840472\pi\) |
0.854595 | + | 0.519296i | \(0.173806\pi\) | |||||||
\(102\) | −4.54434 | + | 0.579805i | −0.449956 | + | 0.0574093i | ||||
\(103\) | 0.427706 | − | 0.246936i | 0.0421431 | − | 0.0243313i | −0.478780 | − | 0.877935i | \(-0.658921\pi\) |
0.520924 | + | 0.853603i | \(0.325588\pi\) | |||||||
\(104\) | 1.99442 | − | 11.3329i | 0.195569 | − | 1.11128i | ||||
\(105\) | −0.365138 | − | 0.971537i | −0.0356338 | − | 0.0948123i | ||||
\(106\) | 1.71903 | − | 7.25673i | 0.166967 | − | 0.704836i | ||||
\(107\) | 0.151516i | 0.0146476i | 0.999973 | + | 0.00732378i | \(0.00233125\pi\) | ||||
−0.999973 | + | 0.00732378i | \(0.997669\pi\) | |||||||
\(108\) | −8.49829 | + | 5.98156i | −0.817748 | + | 0.575576i | ||||
\(109\) | 4.45180i | 0.426405i | 0.977008 | + | 0.213202i | \(0.0683894\pi\) | ||||
−0.977008 | + | 0.213202i | \(0.931611\pi\) | |||||||
\(110\) | 1.11302 | + | 0.263660i | 0.106122 | + | 0.0251390i | ||||
\(111\) | −4.45115 | − | 11.8433i | −0.422484 | − | 1.12412i | ||||
\(112\) | 0.279315 | + | 2.38057i | 0.0263928 | + | 0.224943i | ||||
\(113\) | −14.2998 | + | 8.25601i | −1.34522 | + | 0.776660i | −0.987567 | − | 0.157196i | \(-0.949755\pi\) |
−0.357648 | + | 0.933857i | \(0.616421\pi\) | |||||||
\(114\) | 1.02969 | + | 8.07042i | 0.0964396 | + | 0.755864i | ||||
\(115\) | −1.00356 | + | 1.73822i | −0.0935827 | + | 0.162090i | ||||
\(116\) | 4.64025 | − | 3.05341i | 0.430837 | − | 0.283502i | ||||
\(117\) | 3.93408 | − | 11.5536i | 0.363706 | − | 1.06813i | ||||
\(118\) | 3.00789 | + | 10.0430i | 0.276898 | + | 0.924533i | ||||
\(119\) | −0.560352 | + | 0.970558i | −0.0513674 | + | 0.0889709i | ||||
\(120\) | −4.81511 | + | 0.902602i | −0.439558 | + | 0.0823960i | ||||
\(121\) | −5.17292 | − | 8.95976i | −0.470265 | − | 0.814523i | ||||
\(122\) | −4.91052 | + | 5.20600i | −0.444578 | + | 0.471329i | ||||
\(123\) | −9.30001 | + | 11.3212i | −0.838554 | + | 1.02080i | ||||
\(124\) | −9.31587 | + | 0.544654i | −0.836590 | + | 0.0489113i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −0.0945335 | + | 2.54054i | −0.00842172 | + | 0.226329i | ||||
\(127\) | 11.4614i | 1.01704i | 0.861051 | + | 0.508519i | \(0.169807\pi\) | ||||
−0.861051 | + | 0.508519i | \(0.830193\pi\) | |||||||
\(128\) | 11.2951 | + | 0.649096i | 0.998353 | + | 0.0573726i | ||||
\(129\) | −2.37264 | + | 14.3288i | −0.208899 | + | 1.26158i | ||||
\(130\) | 3.94784 | − | 4.18540i | 0.346249 | − | 0.367084i | ||||
\(131\) | 12.3778 | − | 7.14631i | 1.08145 | − | 0.624376i | 0.150164 | − | 0.988661i | \(-0.452020\pi\) |
0.931288 | + | 0.364285i | \(0.118687\pi\) | |||||||
\(132\) | −2.26508 | − | 1.64906i | −0.197149 | − | 0.143532i | ||||
\(133\) | 1.72364 | + | 0.995146i | 0.149459 | + | 0.0862901i | ||||
\(134\) | −18.1037 | + | 5.42207i | −1.56392 | + | 0.468395i | ||||
\(135\) | −5.19361 | + | 0.162672i | −0.446994 | + | 0.0140006i | ||||
\(136\) | 4.05342 | + | 3.39893i | 0.347577 | + | 0.291456i | ||||
\(137\) | 1.59539 | + | 0.921101i | 0.136304 | + | 0.0786950i | 0.566601 | − | 0.823992i | \(-0.308258\pi\) |
−0.430298 | + | 0.902687i | \(0.641591\pi\) | |||||||
\(138\) | 3.91240 | − | 2.97732i | 0.333045 | − | 0.253446i | ||||
\(139\) | 4.92786 | + | 8.53531i | 0.417976 | + | 0.723956i | 0.995736 | − | 0.0922512i | \(-0.0294063\pi\) |
−0.577760 | + | 0.816207i | \(0.696073\pi\) | |||||||
\(140\) | −0.537626 | + | 1.07109i | −0.0454377 | + | 0.0905238i | ||||
\(141\) | −3.82589 | + | 23.1053i | −0.322198 | + | 1.94582i | ||||
\(142\) | 1.05705 | − | 4.46225i | 0.0887059 | − | 0.374464i | ||||
\(143\) | 3.29050 | 0.275165 | ||||||||
\(144\) | 11.7329 | + | 2.51788i | 0.977739 | + | 0.209823i | ||||
\(145\) | 2.77738 | 0.230649 | ||||||||
\(146\) | 5.22268 | − | 22.0471i | 0.432232 | − | 1.82463i | ||||
\(147\) | −8.88806 | − | 7.30125i | −0.733075 | − | 0.602197i | ||||
\(148\) | −6.55383 | + | 13.0569i | −0.538721 | + | 1.07327i | ||||
\(149\) | −5.68180 | − | 9.84116i | −0.465471 | − | 0.806219i | 0.533752 | − | 0.845641i | \(-0.320782\pi\) |
−0.999223 | + | 0.0394219i | \(0.987448\pi\) | |||||||
\(150\) | −2.25927 | − | 0.946416i | −0.184469 | − | 0.0772746i | ||||
\(151\) | 10.9144 | + | 6.30145i | 0.888204 | + | 0.512805i | 0.873354 | − | 0.487085i | \(-0.161940\pi\) |
0.0148491 | + | 0.999890i | \(0.495273\pi\) | |||||||
\(152\) | 6.03626 | − | 7.19858i | 0.489605 | − | 0.583882i | ||||
\(153\) | 3.69546 | + | 4.22189i | 0.298760 | + | 0.341319i | ||||
\(154\) | −0.656590 | + | 0.196649i | −0.0529095 | + | 0.0158464i | ||||
\(155\) | −4.04078 | − | 2.33294i | −0.324563 | − | 0.187387i | ||||
\(156\) | −12.8804 | + | 5.71963i | −1.03125 | + | 0.457937i | ||||
\(157\) | 15.4516 | − | 8.92099i | 1.23317 | − | 0.711972i | 0.265482 | − | 0.964116i | \(-0.414469\pi\) |
0.967690 | + | 0.252144i | \(0.0811355\pi\) | |||||||
\(158\) | 4.31579 | − | 4.57549i | 0.343346 | − | 0.364006i | ||||
\(159\) | −8.54972 | + | 3.21329i | −0.678037 | + | 0.254830i | ||||
\(160\) | 4.53936 | + | 3.37553i | 0.358868 | + | 0.266859i | ||||
\(161\) | − | 1.20272i | − | 0.0947875i | ||||||
\(162\) | 11.8877 | + | 4.54779i | 0.933986 | + | 0.357308i | ||||
\(163\) | −12.4417 | −0.974507 | −0.487253 | − | 0.873261i | \(-0.662001\pi\) | ||||
−0.487253 | + | 0.873261i | \(0.662001\pi\) | |||||||
\(164\) | 16.8890 | − | 0.987418i | 1.31881 | − | 0.0771044i | ||||
\(165\) | −0.492845 | − | 1.31133i | −0.0383680 | − | 0.102087i | ||||
\(166\) | −4.53210 | + | 4.80481i | −0.351759 | + | 0.372925i | ||||
\(167\) | 12.1610 | + | 21.0634i | 0.941044 | + | 1.62994i | 0.763484 | + | 0.645827i | \(0.223487\pi\) |
0.177561 | + | 0.984110i | \(0.443179\pi\) | |||||||
\(168\) | 2.22834 | − | 1.91107i | 0.171920 | − | 0.147442i | ||||
\(169\) | 1.77576 | − | 3.07570i | 0.136597 | − | 0.236592i | ||||
\(170\) | 0.758858 | + | 2.53374i | 0.0582018 | + | 0.194329i | ||||
\(171\) | 7.49777 | − | 6.56288i | 0.573369 | − | 0.501876i | ||||
\(172\) | 14.0098 | − | 9.21881i | 1.06824 | − | 0.702928i | ||||
\(173\) | −10.3034 | + | 17.8460i | −0.783352 | + | 1.35681i | 0.146627 | + | 0.989192i | \(0.453158\pi\) |
−0.929979 | + | 0.367613i | \(0.880175\pi\) | |||||||
\(174\) | −6.27484 | − | 2.62855i | −0.475694 | − | 0.199270i | ||||
\(175\) | −0.518944 | + | 0.299612i | −0.0392285 | + | 0.0226486i | ||||
\(176\) | 0.377006 | + | 3.21317i | 0.0284179 | + | 0.242202i | ||||
\(177\) | 8.15025 | − | 9.92157i | 0.612610 | − | 0.745751i | ||||
\(178\) | 12.9602 | + | 3.07012i | 0.971410 | + | 0.230115i | ||||
\(179\) | − | 16.9909i | − | 1.26996i | −0.772528 | − | 0.634981i | \(-0.781008\pi\) | ||
0.772528 | − | 0.634981i | \(-0.218992\pi\) | |||||||
\(180\) | 4.20859 | + | 4.27642i | 0.313690 | + | 0.318745i | ||||
\(181\) | 22.5201i | 1.67390i | 0.547278 | + | 0.836951i | \(0.315664\pi\) | ||||
−0.547278 | + | 0.836951i | \(0.684336\pi\) | |||||||
\(182\) | −0.794713 | + | 3.35481i | −0.0589080 | + | 0.248675i | ||||
\(183\) | 8.64716 | + | 1.43184i | 0.639216 | + | 0.105844i | ||||
\(184\) | −5.59109 | − | 0.983948i | −0.412180 | − | 0.0725376i | ||||
\(185\) | −6.32608 | + | 3.65236i | −0.465103 | + | 0.268527i | ||||
\(186\) | 6.92127 | + | 9.09501i | 0.507492 | + | 0.666878i | ||||
\(187\) | −0.756335 | + | 1.31001i | −0.0553087 | + | 0.0957975i | ||||
\(188\) | 22.5908 | − | 14.8654i | 1.64760 | − | 1.08417i | ||||
\(189\) | 2.64645 | − | 1.64049i | 0.192501 | − | 0.119328i | ||||
\(190\) | 4.49975 | − | 1.34768i | 0.326446 | − | 0.0977709i | ||||
\(191\) | 3.66201 | − | 6.34278i | 0.264973 | − | 0.458947i | −0.702583 | − | 0.711602i | \(-0.747970\pi\) |
0.967557 | + | 0.252654i | \(0.0813035\pi\) | |||||||
\(192\) | −7.06098 | − | 11.9224i | −0.509582 | − | 0.860422i | ||||
\(193\) | 0.361899 | + | 0.626828i | 0.0260501 | + | 0.0451200i | 0.878757 | − | 0.477270i | \(-0.158374\pi\) |
−0.852706 | + | 0.522390i | \(0.825040\pi\) | |||||||
\(194\) | 4.02387 | + | 3.79548i | 0.288897 | + | 0.272500i | ||||
\(195\) | −6.95194 | − | 1.15113i | −0.497839 | − | 0.0824345i | ||||
\(196\) | 0.775202 | + | 13.2592i | 0.0553716 | + | 0.947087i | ||||
\(197\) | 2.66910 | 0.190165 | 0.0950826 | − | 0.995469i | \(-0.469688\pi\) | ||||
0.0950826 | + | 0.995469i | \(0.469688\pi\) | |||||||
\(198\) | −0.127597 | + | 3.42909i | −0.00906790 | + | 0.243695i | ||||
\(199\) | 25.4805i | 1.80626i | 0.429366 | + | 0.903131i | \(0.358737\pi\) | ||||
−0.429366 | + | 0.903131i | \(0.641263\pi\) | |||||||
\(200\) | 0.968260 | + | 2.65753i | 0.0684663 | + | 0.187916i | ||||
\(201\) | 17.8848 | + | 14.6918i | 1.26149 | + | 1.03628i | ||||
\(202\) | −0.463728 | − | 0.437408i | −0.0326278 | − | 0.0307759i | ||||
\(203\) | −1.44130 | + | 0.832136i | −0.101160 | + | 0.0584045i | ||||
\(204\) | 0.683512 | − | 6.44260i | 0.0478554 | − | 0.451073i | ||||
\(205\) | 7.32564 | + | 4.22946i | 0.511645 | + | 0.295398i | ||||
\(206\) | 0.200389 | + | 0.669077i | 0.0139618 | + | 0.0466168i | ||||
\(207\) | −5.69999 | − | 1.94088i | −0.396177 | − | 0.134900i | ||||
\(208\) | 14.9454 | + | 6.43897i | 1.03627 | + | 0.446462i | ||||
\(209\) | 2.32649 | + | 1.34320i | 0.160926 | + | 0.0929110i | ||||
\(210\) | 1.45599 | − | 0.185768i | 0.100473 | − | 0.0128192i | ||||
\(211\) | 7.09060 | + | 12.2813i | 0.488137 | + | 0.845479i | 0.999907 | − | 0.0136441i | \(-0.00434319\pi\) |
−0.511770 | + | 0.859123i | \(0.671010\pi\) | |||||||
\(212\) | 9.42582 | + | 4.73122i | 0.647368 | + | 0.324941i | ||||
\(213\) | −5.25732 | + | 1.97589i | −0.360226 | + | 0.135386i | ||||
\(214\) | −0.208505 | − | 0.0493923i | −0.0142531 | − | 0.00337639i | ||||
\(215\) | 8.38541 | 0.571880 | ||||||||
\(216\) | −5.46107 | − | 13.6447i | −0.371579 | − | 0.928402i | ||||
\(217\) | 2.79592 | 0.189799 | ||||||||
\(218\) | −6.12625 | − | 1.45123i | −0.414922 | − | 0.0982899i | ||||
\(219\) | −25.9754 | + | 9.76247i | −1.75525 | + | 0.659686i | ||||
\(220\) | −0.725661 | + | 1.44571i | −0.0489241 | + | 0.0974695i | ||||
\(221\) | 3.80443 | + | 6.58947i | 0.255914 | + | 0.443256i | ||||
\(222\) | 17.7490 | − | 2.26457i | 1.19123 | − | 0.151988i | ||||
\(223\) | −23.3748 | − | 13.4954i | −1.56529 | − | 0.903722i | −0.996706 | − | 0.0810987i | \(-0.974157\pi\) |
−0.568587 | − | 0.822623i | \(-0.692510\pi\) | |||||||
\(224\) | −3.36702 | − | 0.391663i | −0.224969 | − | 0.0261691i | ||||
\(225\) | 0.582498 | + | 2.94291i | 0.0388332 | + | 0.196194i | ||||
\(226\) | −6.69977 | − | 22.3698i | −0.445662 | − | 1.48802i | ||||
\(227\) | −17.7458 | − | 10.2455i | −1.17783 | − | 0.680020i | −0.222318 | − | 0.974974i | \(-0.571362\pi\) |
−0.955512 | + | 0.294954i | \(0.904696\pi\) | |||||||
\(228\) | −11.4416 | − | 1.21387i | −0.757739 | − | 0.0803905i | ||||
\(229\) | −10.4781 | + | 6.04952i | −0.692410 | + | 0.399763i | −0.804514 | − | 0.593933i | \(-0.797574\pi\) |
0.112104 | + | 0.993696i | \(0.464241\pi\) | |||||||
\(230\) | −2.06487 | − | 1.94767i | −0.136153 | − | 0.128426i | ||||
\(231\) | 0.648650 | + | 0.532845i | 0.0426781 | + | 0.0350587i | ||||
\(232\) | 2.68922 | + | 7.38096i | 0.176556 | + | 0.484584i | ||||
\(233\) | 7.05758i | 0.462358i | 0.972911 | + | 0.231179i | \(0.0742582\pi\) | ||||
−0.972911 | + | 0.231179i | \(0.925742\pi\) | |||||||
\(234\) | 14.6168 | + | 9.18015i | 0.955533 | + | 0.600125i | ||||
\(235\) | 13.5215 | 0.882046 | ||||||||
\(236\) | −14.8010 | + | 0.865343i | −0.963464 | + | 0.0563290i | ||||
\(237\) | −7.59988 | − | 1.25842i | −0.493665 | − | 0.0817434i | ||||
\(238\) | −1.15295 | − | 1.08751i | −0.0747344 | − | 0.0704926i | ||||
\(239\) | −1.45168 | − | 2.51438i | −0.0939013 | − | 0.162642i | 0.815248 | − | 0.579112i | \(-0.196600\pi\) |
−0.909150 | + | 0.416470i | \(0.863267\pi\) | |||||||
\(240\) | 0.327571 | − | 6.92045i | 0.0211446 | − | 0.446713i | ||||
\(241\) | 4.85247 | − | 8.40472i | 0.312575 | − | 0.541396i | −0.666344 | − | 0.745644i | \(-0.732142\pi\) |
0.978919 | + | 0.204249i | \(0.0654751\pi\) | |||||||
\(242\) | 14.0161 | − | 4.19783i | 0.900989 | − | 0.269847i | ||||
\(243\) | −3.50399 | − | 15.1895i | −0.224781 | − | 0.974409i | ||||
\(244\) | −5.56336 | − | 8.45461i | −0.356158 | − | 0.541251i | ||||
\(245\) | −3.32046 | + | 5.75121i | −0.212137 | + | 0.367432i | ||||
\(246\) | −12.5478 | − | 16.4886i | −0.800016 | − | 1.05127i | ||||
\(247\) | 11.7024 | − | 6.75641i | 0.744608 | − | 0.429900i | ||||
\(248\) | 2.28735 | − | 12.9974i | 0.145247 | − | 0.825335i | ||||
\(249\) | 7.98077 | + | 1.32149i | 0.505761 | + | 0.0837463i | ||||
\(250\) | −0.325988 | + | 1.37613i | −0.0206173 | + | 0.0870341i | ||||
\(251\) | − | 7.28459i | − | 0.459800i | −0.973214 | − | 0.229900i | \(-0.926160\pi\) | ||
0.973214 | − | 0.229900i | \(-0.0738398\pi\) | |||||||
\(252\) | −3.46529 | − | 0.958275i | −0.218293 | − | 0.0603656i | ||||
\(253\) | − | 1.62337i | − | 0.102060i | ||||||
\(254\) | −15.7724 | − | 3.73629i | −0.989649 | − | 0.234436i | ||||
\(255\) | 2.05622 | − | 2.50311i | 0.128766 | − | 0.156751i | ||||
\(256\) | −4.57530 | + | 15.3319i | −0.285956 | + | 0.958243i | ||||
\(257\) | −14.6491 | + | 8.45768i | −0.913788 | + | 0.527576i | −0.881648 | − | 0.471908i | \(-0.843566\pi\) |
−0.0321398 | + | 0.999483i | \(0.510232\pi\) | |||||||
\(258\) | −18.9449 | − | 7.93609i | −1.17946 | − | 0.494079i | ||||
\(259\) | 2.18859 | − | 3.79074i | 0.135992 | − | 0.235545i | ||||
\(260\) | 4.47270 | + | 6.79713i | 0.277385 | + | 0.421540i | ||||
\(261\) | 1.61782 | + | 8.17356i | 0.100140 | + | 0.505931i | ||||
\(262\) | 5.79924 | + | 19.3630i | 0.358279 | + | 1.19625i | ||||
\(263\) | 3.28261 | − | 5.68564i | 0.202414 | − | 0.350592i | −0.746892 | − | 0.664946i | \(-0.768455\pi\) |
0.949306 | + | 0.314354i | \(0.101788\pi\) | |||||||
\(264\) | 3.00770 | − | 2.57946i | 0.185111 | − | 0.158755i | ||||
\(265\) | 2.63665 | + | 4.56681i | 0.161968 | + | 0.280537i | ||||
\(266\) | −1.93134 | + | 2.04755i | −0.118418 | + | 0.125543i | ||||
\(267\) | −5.73880 | − | 15.2694i | −0.351209 | − | 0.934475i | ||||
\(268\) | −1.55988 | − | 26.6805i | −0.0952849 | − | 1.62977i | ||||
\(269\) | 14.9125 | 0.909232 | 0.454616 | − | 0.890688i | \(-0.349777\pi\) | ||||
0.454616 | + | 0.890688i | \(0.349777\pi\) | |||||||
\(270\) | 1.46920 | − | 7.20010i | 0.0894124 | − | 0.438184i | ||||
\(271\) | − | 16.6853i | − | 1.01356i | −0.862075 | − | 0.506781i | \(-0.830835\pi\) | ||
0.862075 | − | 0.506781i | \(-0.169165\pi\) | |||||||
\(272\) | −5.99873 | + | 4.47001i | −0.363727 | + | 0.271034i | ||||
\(273\) | 3.95256 | − | 1.48551i | 0.239220 | − | 0.0899073i | ||||
\(274\) | −1.78763 | + | 1.89520i | −0.107995 | + | 0.114493i | ||||
\(275\) | −0.700444 | + | 0.404402i | −0.0422384 | + | 0.0243863i | ||||
\(276\) | 2.82178 | + | 6.35454i | 0.169851 | + | 0.382498i | ||||
\(277\) | −17.1138 | − | 9.88066i | −1.02827 | − | 0.593671i | −0.111781 | − | 0.993733i | \(-0.535655\pi\) |
−0.916488 | + | 0.400061i | \(0.868989\pi\) | |||||||
\(278\) | −13.3521 | + | 3.99897i | −0.800807 | + | 0.239842i | ||||
\(279\) | 4.51189 | − | 13.2506i | 0.270120 | − | 0.793291i | ||||
\(280\) | −1.29870 | − | 1.08901i | −0.0776123 | − | 0.0650806i | ||||
\(281\) | 15.0261 | + | 8.67532i | 0.896382 | + | 0.517526i | 0.876024 | − | 0.482267i | \(-0.160186\pi\) |
0.0203571 | + | 0.999793i | \(0.493520\pi\) | |||||||
\(282\) | −30.5487 | − | 12.7970i | −1.81915 | − | 0.762049i | ||||
\(283\) | −2.43180 | − | 4.21200i | −0.144556 | − | 0.250378i | 0.784651 | − | 0.619937i | \(-0.212842\pi\) |
−0.929207 | + | 0.369560i | \(0.879509\pi\) | |||||||
\(284\) | 5.79605 | + | 2.90928i | 0.343932 | + | 0.172634i | ||||
\(285\) | −4.44534 | − | 3.65170i | −0.263319 | − | 0.216308i | ||||
\(286\) | −1.07266 | + | 4.52815i | −0.0634279 | + | 0.267755i | ||||
\(287\) | −5.06880 | −0.299202 | ||||||||
\(288\) | −7.28970 | + | 15.3251i | −0.429550 | + | 0.903043i | ||||
\(289\) | 13.5021 | 0.794243 | ||||||||
\(290\) | −0.905391 | + | 3.82203i | −0.0531664 | + | 0.224437i | ||||
\(291\) | 1.10671 | − | 6.68363i | 0.0648764 | − | 0.391802i | ||||
\(292\) | 28.6371 | + | 14.3742i | 1.67586 | + | 0.841185i | ||||
\(293\) | −16.0019 | − | 27.7161i | −0.934841 | − | 1.61919i | −0.774918 | − | 0.632062i | \(-0.782209\pi\) |
−0.159923 | − | 0.987129i | \(-0.551125\pi\) | |||||||
\(294\) | 12.9449 | − | 9.85100i | 0.754960 | − | 0.574522i | ||||
\(295\) | −6.41997 | − | 3.70657i | −0.373785 | − | 0.215805i | ||||
\(296\) | −15.8316 | − | 13.2753i | −0.920191 | − | 0.771612i | ||||
\(297\) | 3.57205 | − | 2.21425i | 0.207271 | − | 0.128484i | ||||
\(298\) | 15.3949 | − | 4.61079i | 0.891803 | − | 0.267096i | ||||
\(299\) | −7.07170 | − | 4.08285i | −0.408967 | − | 0.236117i | ||||
\(300\) | 2.03889 | − | 2.80053i | 0.117715 | − | 0.161688i | ||||
\(301\) | −4.35155 | + | 2.51237i | −0.250819 | + | 0.144811i | ||||
\(302\) | −12.2296 | + | 12.9655i | −0.703733 | + | 0.746079i | ||||
\(303\) | −0.127542 | + | 0.770252i | −0.00732710 | + | 0.0442498i | ||||
\(304\) | 7.93843 | + | 10.6533i | 0.455300 | + | 0.611010i | ||||
\(305\) | − | 5.06042i | − | 0.289759i | ||||||
\(306\) | −7.01454 | + | 3.70915i | −0.400994 | + | 0.212038i | ||||
\(307\) | −10.7917 | −0.615913 | −0.307956 | − | 0.951400i | \(-0.599645\pi\) | ||||
−0.307956 | + | 0.951400i | \(0.599645\pi\) | |||||||
\(308\) | −0.0565742 | − | 0.967658i | −0.00322362 | − | 0.0551374i | ||||
\(309\) | 0.542979 | − | 0.660986i | 0.0308890 | − | 0.0376022i | ||||
\(310\) | 4.52768 | − | 4.80012i | 0.257155 | − | 0.272629i | ||||
\(311\) | 1.21973 | + | 2.11263i | 0.0691644 | + | 0.119796i | 0.898534 | − | 0.438905i | \(-0.144633\pi\) |
−0.829369 | + | 0.558701i | \(0.811300\pi\) | |||||||
\(312\) | −3.67211 | − | 19.5896i | −0.207892 | − | 1.10904i | ||||
\(313\) | 6.88538 | − | 11.9258i | 0.389185 | − | 0.674088i | −0.603155 | − | 0.797624i | \(-0.706090\pi\) |
0.992340 | + | 0.123536i | \(0.0394234\pi\) | |||||||
\(314\) | 7.23939 | + | 24.1715i | 0.408543 | + | 1.36408i | ||||
\(315\) | −1.18401 | − | 1.35268i | −0.0667117 | − | 0.0762148i | ||||
\(316\) | 4.88957 | + | 7.43064i | 0.275060 | + | 0.418006i | ||||
\(317\) | 7.83931 | − | 13.5781i | 0.440300 | − | 0.762621i | −0.557412 | − | 0.830236i | \(-0.688206\pi\) |
0.997712 | + | 0.0676148i | \(0.0215389\pi\) | |||||||
\(318\) | −1.63479 | − | 12.8130i | −0.0916747 | − | 0.718518i | ||||
\(319\) | −1.94540 | + | 1.12318i | −0.108921 | + | 0.0628858i | ||||
\(320\) | −6.12494 | + | 5.14636i | −0.342395 | + | 0.287690i | ||||
\(321\) | 0.0923262 | + | 0.245656i | 0.00515314 | + | 0.0137112i | ||||
\(322\) | 1.65510 | + | 0.392072i | 0.0922349 | + | 0.0218493i | ||||
\(323\) | 6.21196i | 0.345642i | ||||||||
\(324\) | −10.1336 | + | 14.8765i | −0.562978 | + | 0.826472i | ||||
\(325\) | 4.06835i | 0.225672i | ||||||||
\(326\) | 4.05584 | − | 17.1213i | 0.224632 | − | 0.948264i | ||||
\(327\) | 2.71271 | + | 7.21781i | 0.150013 | + | 0.399146i | ||||
\(328\) | −4.14680 | + | 23.5633i | −0.228969 | + | 1.30107i | ||||
\(329\) | −7.01690 | + | 4.05121i | −0.386854 | + | 0.223350i | ||||
\(330\) | 1.96522 | − | 0.250740i | 0.108182 | − | 0.0138028i | ||||
\(331\) | 1.07345 | − | 1.85927i | 0.0590021 | − | 0.102195i | −0.835016 | − | 0.550226i | \(-0.814541\pi\) |
0.894018 | + | 0.448032i | \(0.147875\pi\) | |||||||
\(332\) | −5.13462 | − | 7.80306i | −0.281799 | − | 0.428249i | ||||
\(333\) | −14.4335 | − | 16.4896i | −0.790951 | − | 0.903623i | ||||
\(334\) | −32.9503 | + | 9.86865i | −1.80296 | + | 0.539988i | ||||
\(335\) | 6.68152 | − | 11.5727i | 0.365051 | − | 0.632286i | ||||
\(336\) | 1.90346 | + | 3.68947i | 0.103842 | + | 0.201277i | ||||
\(337\) | 10.7535 | + | 18.6257i | 0.585783 | + | 1.01461i | 0.994777 | + | 0.102069i | \(0.0325462\pi\) |
−0.408995 | + | 0.912537i | \(0.634120\pi\) | |||||||
\(338\) | 3.65368 | + | 3.44631i | 0.198734 | + | 0.187455i | ||||
\(339\) | −18.1539 | + | 22.0993i | −0.985982 | + | 1.20027i | ||||
\(340\) | −3.73414 | + | 0.218317i | −0.202512 | + | 0.0118399i | ||||
\(341\) | 3.77379 | 0.204362 | ||||||||
\(342\) | 6.58719 | + | 12.4573i | 0.356194 | + | 0.673615i | ||||
\(343\) | − | 8.17398i | − | 0.441354i | ||||||
\(344\) | 8.11925 | + | 22.2845i | 0.437761 | + | 1.20150i | ||||
\(345\) | −0.567913 | + | 3.42974i | −0.0305754 | + | 0.184651i | ||||
\(346\) | −21.1996 | − | 19.9964i | −1.13970 | − | 1.07501i | ||||
\(347\) | 17.3931 | − | 10.0419i | 0.933709 | − | 0.539077i | 0.0457265 | − | 0.998954i | \(-0.485440\pi\) |
0.887983 | + | 0.459877i | \(0.152106\pi\) | |||||||
\(348\) | 5.66275 | − | 7.77811i | 0.303555 | − | 0.416951i | ||||
\(349\) | −3.44434 | − | 1.98859i | −0.184371 | − | 0.106447i | 0.404973 | − | 0.914328i | \(-0.367281\pi\) |
−0.589345 | + | 0.807882i | \(0.700614\pi\) | |||||||
\(350\) | −0.243136 | − | 0.811804i | −0.0129962 | − | 0.0433927i | ||||
\(351\) | −0.661807 | − | 21.1294i | −0.0353247 | − | 1.12781i | ||||
\(352\) | −4.54464 | − | 0.528647i | −0.242230 | − | 0.0281770i | ||||
\(353\) | 27.3846 | + | 15.8105i | 1.45754 | + | 0.841508i | 0.998890 | − | 0.0471110i | \(-0.0150014\pi\) |
0.458646 | + | 0.888619i | \(0.348335\pi\) | |||||||
\(354\) | 10.9965 | + | 14.4501i | 0.584456 | + | 0.768014i | ||||
\(355\) | 1.62131 | + | 2.80818i | 0.0860500 | + | 0.149043i | ||||
\(356\) | −8.44976 | + | 16.8341i | −0.447836 | + | 0.892207i | ||||
\(357\) | −0.317102 | + | 1.91504i | −0.0167828 | + | 0.101355i | ||||
\(358\) | 23.3817 | + | 5.53884i | 1.23576 | + | 0.292737i | ||||
\(359\) | 24.5943 | 1.29804 | 0.649019 | − | 0.760772i | \(-0.275179\pi\) | ||||
0.649019 | + | 0.760772i | \(0.275179\pi\) | |||||||
\(360\) | −7.25686 | + | 4.39751i | −0.382470 | + | 0.231769i | ||||
\(361\) | −7.96801 | −0.419369 | ||||||||
\(362\) | −30.9905 | − | 7.34127i | −1.62882 | − | 0.385848i | ||||
\(363\) | −13.8466 | − | 11.3745i | −0.726759 | − | 0.597009i | ||||
\(364\) | −4.35758 | − | 2.18725i | −0.228399 | − | 0.114643i | ||||
\(365\) | 8.01054 | + | 13.8747i | 0.419291 | + | 0.726233i | ||||
\(366\) | −4.78926 | + | 11.4328i | −0.250339 | + | 0.597604i | ||||
\(367\) | −6.34516 | − | 3.66338i | −0.331214 | − | 0.191227i | 0.325166 | − | 0.945657i | \(-0.394580\pi\) |
−0.656380 | + | 0.754430i | \(0.727913\pi\) | |||||||
\(368\) | 3.17667 | − | 7.37330i | 0.165595 | − | 0.384360i | ||||
\(369\) | −8.17974 | + | 24.0223i | −0.425820 | + | 1.25055i | ||||
\(370\) | −2.96390 | − | 9.89613i | −0.154086 | − | 0.514475i | ||||
\(371\) | −2.73654 | − | 1.57994i | −0.142074 | − | 0.0820266i | ||||
\(372\) | −14.7722 | + | 6.55970i | −0.765901 | + | 0.340104i | ||||
\(373\) | 27.9329 | − | 16.1271i | 1.44631 | − | 0.835027i | 0.448051 | − | 0.894008i | \(-0.352118\pi\) |
0.998259 | + | 0.0589810i | \(0.0187851\pi\) | |||||||
\(374\) | −1.55619 | − | 1.46786i | −0.0804686 | − | 0.0759014i | ||||
\(375\) | 1.62132 | − | 0.609351i | 0.0837248 | − | 0.0314668i | ||||
\(376\) | 13.0923 | + | 35.9338i | 0.675185 | + | 1.85315i | ||||
\(377\) | 11.2994i | 0.581946i | ||||||||
\(378\) | 1.39481 | + | 4.17664i | 0.0717413 | + | 0.214823i | ||||
\(379\) | −6.95220 | −0.357110 | −0.178555 | − | 0.983930i | \(-0.557142\pi\) | ||||
−0.178555 | + | 0.983930i | \(0.557142\pi\) | |||||||
\(380\) | 0.387715 | + | 6.63157i | 0.0198894 | + | 0.340192i | ||||
\(381\) | 6.98403 | + | 18.5827i | 0.357803 | + | 0.952020i | ||||
\(382\) | 7.53471 | + | 7.10706i | 0.385510 | + | 0.363629i | ||||
\(383\) | −13.7399 | − | 23.7982i | −0.702075 | − | 1.21603i | −0.967737 | − | 0.251963i | \(-0.918924\pi\) |
0.265662 | − | 0.964066i | \(-0.414410\pi\) | |||||||
\(384\) | 18.7085 | − | 5.83027i | 0.954714 | − | 0.297525i | ||||
\(385\) | 0.242328 | − | 0.419724i | 0.0123502 | − | 0.0213911i | ||||
\(386\) | −0.980571 | + | 0.293682i | −0.0499097 | + | 0.0149480i | ||||
\(387\) | 4.88448 | + | 24.6775i | 0.248292 | + | 1.25443i | ||||
\(388\) | −6.53481 | + | 4.30008i | −0.331755 | + | 0.218303i | ||||
\(389\) | 15.8542 | − | 27.4603i | 0.803842 | − | 1.39230i | −0.113228 | − | 0.993569i | \(-0.536119\pi\) |
0.917070 | − | 0.398726i | \(-0.130548\pi\) | |||||||
\(390\) | 3.85036 | − | 9.19151i | 0.194970 | − | 0.465430i | ||||
\(391\) | 3.25092 | − | 1.87692i | 0.164406 | − | 0.0949199i | ||||
\(392\) | −18.4991 | − | 3.25557i | −0.934346 | − | 0.164431i | ||||
\(393\) | 15.7138 | − | 19.1289i | 0.792655 | − | 0.964926i | ||||
\(394\) | −0.870093 | + | 3.67302i | −0.0438347 | + | 0.185044i | ||||
\(395\) | 4.44754i | 0.223780i | ||||||||
\(396\) | −4.67728 | − | 1.29343i | −0.235042 | − | 0.0649974i | ||||
\(397\) | − | 2.72557i | − | 0.136792i | −0.997658 | − | 0.0683961i | \(-0.978212\pi\) | ||
0.997658 | − | 0.0683961i | \(-0.0217882\pi\) | |||||||
\(398\) | −35.0644 | − | 8.30632i | −1.75762 | − | 0.416358i | ||||
\(399\) | 3.40098 | + | 0.563150i | 0.170262 | + | 0.0281928i | ||||
\(400\) | −3.97275 | + | 0.466128i | −0.198637 | + | 0.0233064i | ||||
\(401\) | 9.65586 | − | 5.57482i | 0.482191 | − | 0.278393i | −0.239138 | − | 0.970986i | \(-0.576865\pi\) |
0.721329 | + | 0.692593i | \(0.243532\pi\) | |||||||
\(402\) | −26.0480 | + | 19.8224i | −1.29916 | + | 0.988653i | ||||
\(403\) | 9.49125 | − | 16.4393i | 0.472793 | − | 0.818901i | ||||
\(404\) | 0.753100 | − | 0.495560i | 0.0374681 | − | 0.0246551i | ||||
\(405\) | −8.32139 | + | 3.42847i | −0.413493 | + | 0.170362i | ||||
\(406\) | −0.675280 | − | 2.25468i | −0.0335136 | − | 0.111898i | ||||
\(407\) | 2.95405 | − | 5.11656i | 0.146427 | − | 0.253618i | ||||
\(408\) | 8.64304 | + | 3.04081i | 0.427894 | + | 0.150543i | ||||
\(409\) | 5.29072 | + | 9.16380i | 0.261609 | + | 0.453121i | 0.966670 | − | 0.256027i | \(-0.0824135\pi\) |
−0.705060 | + | 0.709147i | \(0.749080\pi\) | |||||||
\(410\) | −8.20836 | + | 8.70228i | −0.405382 | + | 0.429775i | ||||
\(411\) | 3.14792 | + | 0.521248i | 0.155276 | + | 0.0257113i | ||||
\(412\) | −0.986060 | + | 0.0576501i | −0.0485797 | + | 0.00284022i | ||||
\(413\) | 4.44214 | 0.218583 | ||||||||
\(414\) | 4.52903 | − | 7.21122i | 0.222590 | − | 0.354412i | ||||
\(415\) | − | 4.67044i | − | 0.229263i | ||||||
\(416\) | −13.7329 | + | 18.4677i | −0.673309 | + | 0.905455i | ||||
\(417\) | 13.1907 | + | 10.8357i | 0.645950 | + | 0.530627i | ||||
\(418\) | −2.60682 | + | 2.76368i | −0.127504 | + | 0.135176i | ||||
\(419\) | 10.6537 | − | 6.15093i | 0.520468 | − | 0.300492i | −0.216658 | − | 0.976248i | \(-0.569516\pi\) |
0.737126 | + | 0.675755i | \(0.236182\pi\) | |||||||
\(420\) | −0.218995 | + | 2.06419i | −0.0106859 | + | 0.100722i | ||||
\(421\) | −31.8320 | − | 18.3782i | −1.55140 | − | 0.895701i | −0.998028 | − | 0.0627653i | \(-0.980008\pi\) |
−0.553370 | − | 0.832935i | \(-0.686659\pi\) | |||||||
\(422\) | −19.2121 | + | 5.75404i | −0.935230 | + | 0.280102i | ||||
\(423\) | 7.87625 | + | 39.7925i | 0.382956 | + | 1.93478i | ||||
\(424\) | −9.58347 | + | 11.4288i | −0.465414 | + | 0.555033i | ||||
\(425\) | −1.61969 | − | 0.935129i | −0.0785665 | − | 0.0453604i | ||||
\(426\) | −1.00525 | − | 7.87887i | −0.0487047 | − | 0.381733i | ||||
\(427\) | 1.51616 | + | 2.62607i | 0.0733723 | + | 0.127085i | ||||
\(428\) | 0.135940 | − | 0.270829i | 0.00657092 | − | 0.0130910i | ||||
\(429\) | 5.33497 | − | 2.00507i | 0.257575 | − | 0.0968057i | ||||
\(430\) | −2.73354 | + | 11.5394i | −0.131823 | + | 0.556479i | ||||
\(431\) | −31.5455 | −1.51949 | −0.759746 | − | 0.650220i | \(-0.774677\pi\) | ||||
−0.759746 | + | 0.650220i | \(0.774677\pi\) | |||||||
\(432\) | 20.5571 | − | 3.06714i | 0.989052 | − | 0.147568i | ||||
\(433\) | −21.6927 | −1.04248 | −0.521241 | − | 0.853409i | \(-0.674531\pi\) | ||||
−0.521241 | + | 0.853409i | \(0.674531\pi\) | |||||||
\(434\) | −0.911435 | + | 3.84754i | −0.0437503 | + | 0.184688i | ||||
\(435\) | 4.50303 | − | 1.69240i | 0.215904 | − | 0.0811442i | ||||
\(436\) | 3.99417 | − | 7.95743i | 0.191286 | − | 0.381092i | ||||
\(437\) | −3.33328 | − | 5.77340i | −0.159452 | − | 0.276179i | ||||
\(438\) | −4.96676 | − | 38.9279i | −0.237321 | − | 1.86005i | ||||
\(439\) | 1.34898 | + | 0.778832i | 0.0643832 | + | 0.0371716i | 0.531846 | − | 0.846841i | \(-0.321499\pi\) |
−0.467463 | + | 0.884013i | \(0.654832\pi\) | |||||||
\(440\) | −1.75292 | − | 1.46989i | −0.0835673 | − | 0.0700741i | ||||
\(441\) | −18.8594 | − | 6.42175i | −0.898069 | − | 0.305797i | ||||
\(442\) | −10.3082 | + | 3.08730i | −0.490310 | + | 0.146848i | ||||
\(443\) | 20.8779 | + | 12.0539i | 0.991941 | + | 0.572697i | 0.905854 | − | 0.423590i | \(-0.139230\pi\) |
0.0860869 | + | 0.996288i | \(0.472564\pi\) | |||||||
\(444\) | −2.66962 | + | 25.1631i | −0.126694 | + | 1.19419i | ||||
\(445\) | −8.15613 | + | 4.70894i | −0.386638 | + | 0.223225i | ||||
\(446\) | 26.1914 | − | 27.7674i | 1.24020 | − | 1.31482i | ||||
\(447\) | −15.2088 | − | 12.4935i | −0.719349 | − | 0.590922i | ||||
\(448\) | 1.63659 | − | 4.50578i | 0.0773215 | − | 0.212878i | ||||
\(449\) | − | 22.7101i | − | 1.07176i | −0.844295 | − | 0.535879i | \(-0.819980\pi\) | ||
0.844295 | − | 0.535879i | \(-0.180020\pi\) | |||||||
\(450\) | −4.23971 | − | 0.157760i | −0.199862 | − | 0.00743687i | ||||
\(451\) | −6.84161 | −0.322159 | ||||||||
\(452\) | 32.9678 | − | 1.92746i | 1.55067 | − | 0.0906603i | ||||
\(453\) | 21.5356 | + | 3.56597i | 1.01183 | + | 0.167544i | ||||
\(454\) | 19.8841 | − | 21.0806i | 0.933207 | − | 0.989361i | ||||
\(455\) | −1.21893 | − | 2.11125i | −0.0571443 | − | 0.0989768i | ||||
\(456\) | 5.40027 | − | 15.3494i | 0.252891 | − | 0.718803i | ||||
\(457\) | 15.8352 | − | 27.4274i | 0.740739 | − | 1.28300i | −0.211420 | − | 0.977395i | \(-0.567809\pi\) |
0.952159 | − | 0.305603i | \(-0.0988580\pi\) | |||||||
\(458\) | −4.90919 | − | 16.3912i | −0.229391 | − | 0.765913i | ||||
\(459\) | 8.56415 | + | 4.59321i | 0.399740 | + | 0.214393i | ||||
\(460\) | 3.35337 | − | 2.20661i | 0.156352 | − | 0.102884i | ||||
\(461\) | 0.934556 | − | 1.61870i | 0.0435266 | − | 0.0753903i | −0.843441 | − | 0.537221i | \(-0.819474\pi\) |
0.886968 | + | 0.461831i | \(0.152807\pi\) | |||||||
\(462\) | −0.944716 | + | 0.718926i | −0.0439522 | + | 0.0334474i | ||||
\(463\) | −23.8604 | + | 13.7758i | −1.10889 | + | 0.640217i | −0.938541 | − | 0.345168i | \(-0.887822\pi\) |
−0.170347 | + | 0.985384i | \(0.554489\pi\) | |||||||
\(464\) | −11.0338 | + | 1.29461i | −0.512232 | + | 0.0601009i | ||||
\(465\) | −7.97299 | − | 1.32021i | −0.369739 | − | 0.0612231i | ||||
\(466\) | −9.71215 | − | 2.30069i | −0.449906 | − | 0.106577i | ||||
\(467\) | 34.5674i | 1.59959i | 0.600273 | + | 0.799795i | \(0.295059\pi\) | ||||
−0.600273 | + | 0.799795i | \(0.704941\pi\) | |||||||
\(468\) | −17.3980 | + | 17.1220i | −0.804222 | + | 0.791467i | ||||
\(469\) | 8.00747i | 0.369750i | ||||||||
\(470\) | −4.40785 | + | 18.6073i | −0.203319 | + | 0.858292i | ||||
\(471\) | 19.6160 | − | 23.8793i | 0.903859 | − | 1.10030i | ||||
\(472\) | 3.63413 | − | 20.6502i | 0.167274 | − | 0.950502i | ||||
\(473\) | −5.87351 | + | 3.39107i | −0.270064 | + | 0.155922i | ||||
\(474\) | 4.20922 | − | 10.0482i | 0.193336 | − | 0.461528i | ||||
\(475\) | −1.66072 | + | 2.87646i | −0.0761992 | + | 0.131981i | ||||
\(476\) | 1.87240 | − | 1.23209i | 0.0858212 | − | 0.0564727i | ||||
\(477\) | −11.9038 | + | 10.4196i | −0.545039 | + | 0.477079i | ||||
\(478\) | 3.93334 | − | 1.17804i | 0.179907 | − | 0.0538823i | ||||
\(479\) | 3.19775 | − | 5.53866i | 0.146109 | − | 0.253068i | −0.783677 | − | 0.621168i | \(-0.786658\pi\) |
0.929786 | + | 0.368100i | \(0.119992\pi\) | |||||||
\(480\) | 9.41666 | + | 2.70677i | 0.429810 | + | 0.123546i | ||||
\(481\) | −14.8591 | − | 25.7367i | −0.677517 | − | 1.17349i | ||||
\(482\) | 9.98414 | + | 9.41746i | 0.454765 | + | 0.428954i | ||||
\(483\) | −0.732878 | − | 1.95000i | −0.0333471 | − | 0.0887279i | ||||
\(484\) | 1.20768 | + | 20.6564i | 0.0548945 | + | 0.938927i | ||||
\(485\) | −3.91134 | −0.177605 | ||||||||
\(486\) | 22.0450 | + | 0.129660i | 0.999983 | + | 0.00588152i | ||||
\(487\) | 9.60635i | 0.435305i | 0.976026 | + | 0.217653i | \(0.0698400\pi\) | ||||
−0.976026 | + | 0.217653i | \(0.930160\pi\) | |||||||
\(488\) | 13.4482 | − | 4.89980i | 0.608772 | − | 0.221804i | ||||
\(489\) | −20.1720 | + | 7.58135i | −0.912208 | + | 0.342840i | ||||
\(490\) | −6.83198 | − | 6.44422i | −0.308637 | − | 0.291120i | ||||
\(491\) | 1.42930 | − | 0.825208i | 0.0645035 | − | 0.0372411i | −0.467401 | − | 0.884045i | \(-0.654810\pi\) |
0.531905 | + | 0.846804i | \(0.321476\pi\) | |||||||
\(492\) | 26.7809 | − | 11.8923i | 1.20737 | − | 0.536145i | ||||
\(493\) | −4.49849 | − | 2.59720i | −0.202602 | − | 0.116972i | ||||
\(494\) | 5.48283 | + | 18.3066i | 0.246684 | + | 0.823652i | ||||
\(495\) | −1.59812 | − | 1.82578i | −0.0718303 | − | 0.0820627i | ||||
\(496\) | 17.1404 | + | 7.38468i | 0.769629 | + | 0.331582i | ||||
\(497\) | −1.68273 | − | 0.971526i | −0.0754809 | − | 0.0435789i | ||||
\(498\) | −4.42018 | + | 10.5518i | −0.198073 | + | 0.472837i | ||||
\(499\) | 4.96576 | + | 8.60094i | 0.222298 | + | 0.385031i | 0.955505 | − | 0.294974i | \(-0.0953109\pi\) |
−0.733208 | + | 0.680005i | \(0.761978\pi\) | |||||||
\(500\) | −1.78746 | − | 0.897203i | −0.0799378 | − | 0.0401242i | ||||
\(501\) | 32.5519 | + | 26.7403i | 1.45431 | + | 1.19467i | ||||
\(502\) | 10.0245 | + | 2.37469i | 0.447417 | + | 0.105988i | ||||
\(503\) | 16.1641 | 0.720722 | 0.360361 | − | 0.932813i | \(-0.382654\pi\) | ||||
0.360361 | + | 0.932813i | \(0.382654\pi\) | |||||||
\(504\) | 2.44835 | − | 4.45630i | 0.109058 | − | 0.198499i | ||||
\(505\) | 0.450761 | 0.0200586 | ||||||||
\(506\) | 2.23397 | + | 0.529199i | 0.0993119 | + | 0.0235258i | ||||
\(507\) | 1.00489 | − | 6.06876i | 0.0446289 | − | 0.269523i | ||||
\(508\) | 10.2832 | − | 20.4869i | 0.456244 | − | 0.908958i | ||||
\(509\) | −3.56528 | − | 6.17525i | −0.158028 | − | 0.273713i | 0.776129 | − | 0.630574i | \(-0.217180\pi\) |
−0.934158 | + | 0.356861i | \(0.883847\pi\) | |||||||
\(510\) | 2.77429 | + | 3.64561i | 0.122848 | + | 0.161430i | ||||
\(511\) | −8.31405 | − | 4.80012i | −0.367792 | − | 0.212345i | ||||
\(512\) | −19.6072 | − | 11.2942i | −0.866522 | − | 0.499138i | ||||
\(513\) | 8.15722 | − | 15.2093i | 0.360150 | − | 0.671508i | ||||
\(514\) | −6.86342 | − | 22.9162i | −0.302732 | − | 1.01079i | ||||
\(515\) | −0.427706 | − | 0.246936i | −0.0188470 | − | 0.0108813i | ||||
\(516\) | 17.0969 | − | 23.4835i | 0.752649 | − | 1.03381i | ||||
\(517\) | −9.47106 | + | 5.46812i | −0.416537 | + | 0.240488i | ||||
\(518\) | 4.50310 | + | 4.24752i | 0.197855 | + | 0.186625i | ||||
\(519\) | −5.83065 | + | 35.2125i | −0.255937 | + | 1.54566i | ||||
\(520\) | −10.8118 | + | 3.93923i | −0.474128 | + | 0.172746i | ||||
\(521\) | 18.3498i | 0.803921i | 0.915657 | + | 0.401960i | \(0.131671\pi\) | ||||
−0.915657 | + | 0.401960i | \(0.868329\pi\) | |||||||
\(522\) | −11.7753 | − | 0.438158i | −0.515389 | − | 0.0191777i | ||||
\(523\) | −13.4690 | −0.588957 | −0.294478 | − | 0.955658i | \(-0.595146\pi\) | ||||
−0.294478 | + | 0.955658i | \(0.595146\pi\) | |||||||
\(524\) | −28.5365 | + | 1.66839i | −1.24662 | + | 0.0728840i | ||||
\(525\) | −0.658807 | + | 0.801988i | −0.0287527 | + | 0.0350016i | ||||
\(526\) | 6.75409 | + | 6.37074i | 0.294492 | + | 0.277778i | ||||
\(527\) | 4.36321 | + | 7.55730i | 0.190064 | + | 0.329201i | ||||
\(528\) | 2.56920 | + | 4.97986i | 0.111810 | + | 0.216721i | ||||
\(529\) | 9.48573 | − | 16.4298i | 0.412423 | − | 0.714337i | ||||
\(530\) | −7.14403 | + | 2.13964i | −0.310317 | + | 0.0929401i | ||||
\(531\) | 7.16847 | − | 21.0524i | 0.311085 | − | 0.913598i | ||||
\(532\) | −2.18810 | − | 3.32525i | −0.0948662 | − | 0.144168i | ||||
\(533\) | −17.2070 | + | 29.8033i | −0.745316 | + | 1.29092i | ||||
\(534\) | 22.8835 | − | 2.91967i | 0.990266 | − | 0.126347i | ||||
\(535\) | 0.131216 | − | 0.0757578i | 0.00567298 | − | 0.00327529i | ||||
\(536\) | 37.2244 | + | 6.55094i | 1.60785 | + | 0.282957i | ||||
\(537\) | −10.3534 | − | 27.5478i | −0.446784 | − | 1.18878i | ||||
\(538\) | −4.86130 | + | 20.5215i | −0.209586 | + | 0.884747i | ||||
\(539\) | − | 5.37121i | − | 0.231354i | ||||||
\(540\) | 9.42933 | + | 4.36895i | 0.405774 | + | 0.188010i | ||||
\(541\) | − | 37.2583i | − | 1.60186i | −0.598758 | − | 0.800930i | \(-0.704339\pi\) | ||
0.598758 | − | 0.800930i | \(-0.295661\pi\) | |||||||
\(542\) | 22.9612 | + | 5.43922i | 0.986266 | + | 0.233634i | ||||
\(543\) | 13.7226 | + | 36.5123i | 0.588894 | + | 1.56689i | ||||
\(544\) | −4.19580 | − | 9.71220i | −0.179893 | − | 0.416407i | ||||
\(545\) | 3.85537 | − | 2.22590i | 0.165146 | − | 0.0953470i | ||||
\(546\) | 0.755770 | + | 5.92349i | 0.0323440 | + | 0.253502i | ||||
\(547\) | 5.57601 | − | 9.65793i | 0.238413 | − | 0.412943i | −0.721846 | − | 0.692054i | \(-0.756706\pi\) |
0.960259 | + | 0.279110i | \(0.0900395\pi\) | |||||||
\(548\) | −2.02529 | − | 3.07783i | −0.0865162 | − | 0.131478i | ||||
\(549\) | 14.8923 | − | 2.94768i | 0.635589 | − | 0.125804i | ||||
\(550\) | −0.328173 | − | 1.09573i | −0.0139933 | − | 0.0467222i | ||||
\(551\) | −4.61245 | + | 7.98900i | −0.196497 | + | 0.340343i | ||||
\(552\) | −9.66453 | + | 1.81164i | −0.411350 | + | 0.0771083i | ||||
\(553\) | −1.33254 | − | 2.30802i | −0.0566652 | − | 0.0981471i | ||||
\(554\) | 19.1760 | − | 20.3298i | 0.814709 | − | 0.863732i | ||||
\(555\) | −8.03105 | + | 9.77647i | −0.340899 | + | 0.414988i | ||||
\(556\) | −1.15047 | − | 19.6779i | −0.0487907 | − | 0.834527i | ||||
\(557\) | −11.3629 | −0.481464 | −0.240732 | − | 0.970592i | \(-0.577387\pi\) | ||||
−0.240732 | + | 0.970592i | \(0.577387\pi\) | |||||||
\(558\) | 16.7637 | + | 10.5285i | 0.709663 | + | 0.445706i | ||||
\(559\) | 34.1148i | 1.44290i | ||||||||
\(560\) | 1.92198 | − | 1.43218i | 0.0812183 | − | 0.0605206i | ||||
\(561\) | −0.428008 | + | 2.58483i | −0.0180705 | + | 0.109131i | ||||
\(562\) | −16.8367 | + | 17.8498i | −0.710213 | + | 0.752948i | ||||
\(563\) | 21.2512 | − | 12.2694i | 0.895630 | − | 0.517092i | 0.0198504 | − | 0.999803i | \(-0.493681\pi\) |
0.875780 | + | 0.482711i | \(0.160348\pi\) | |||||||
\(564\) | 27.5688 | − | 37.8673i | 1.16086 | − | 1.59450i | ||||
\(565\) | 14.2998 | + | 8.25601i | 0.601599 | + | 0.347333i | ||||
\(566\) | 6.58900 | − | 1.97341i | 0.276956 | − | 0.0829486i | ||||
\(567\) | 3.29112 | − | 4.27238i | 0.138214 | − | 0.179423i | ||||
\(568\) | −5.89299 | + | 7.02772i | −0.247264 | + | 0.294877i | ||||
\(569\) | 22.0405 | + | 12.7251i | 0.923986 | + | 0.533464i | 0.884905 | − | 0.465772i | \(-0.154223\pi\) |
0.0390818 | + | 0.999236i | \(0.487557\pi\) | |||||||
\(570\) | 6.47434 | − | 4.92695i | 0.271180 | − | 0.206367i | ||||
\(571\) | −14.0201 | − | 24.2836i | −0.586725 | − | 1.01624i | −0.994658 | − | 0.103225i | \(-0.967084\pi\) |
0.407933 | − | 0.913012i | \(-0.366250\pi\) | |||||||
\(572\) | −5.88165 | − | 2.95225i | −0.245924 | − | 0.123440i | ||||
\(573\) | 2.07232 | − | 12.5151i | 0.0865723 | − | 0.522828i | ||||
\(574\) | 1.65237 | − | 6.97532i | 0.0689685 | − | 0.291144i | ||||
\(575\) | 2.00712 | 0.0837029 | ||||||||
\(576\) | −18.7130 | − | 15.0274i | −0.779710 | − | 0.626141i | ||||
\(577\) | −18.6560 | −0.776659 | −0.388329 | − | 0.921521i | \(-0.626948\pi\) | ||||
−0.388329 | + | 0.921521i | \(0.626948\pi\) | |||||||
\(578\) | −4.40154 | + | 18.5807i | −0.183080 | + | 0.772855i | ||||
\(579\) | 0.968714 | + | 0.795767i | 0.0402584 | + | 0.0330710i | ||||
\(580\) | −4.96446 | − | 2.49187i | −0.206138 | − | 0.103469i | ||||
\(581\) | 1.39932 | + | 2.42370i | 0.0580537 | + | 0.100552i | ||||
\(582\) | 8.83677 | + | 3.70176i | 0.366296 | + | 0.153443i | ||||
\(583\) | −3.69365 | − | 2.13253i | −0.152975 | − | 0.0883203i | ||||
\(584\) | −29.1161 | + | 34.7226i | −1.20483 | + | 1.43683i | ||||
\(585\) | −11.9728 | + | 2.36981i | −0.495014 | + | 0.0979795i | ||||
\(586\) | 43.3574 | − | 12.9856i | 1.79108 | − | 0.536429i | ||||
\(587\) | −17.4680 | − | 10.0851i | −0.720980 | − | 0.416258i | 0.0941335 | − | 0.995560i | \(-0.469992\pi\) |
−0.815113 | + | 0.579302i | \(0.803325\pi\) | |||||||
\(588\) | 9.33637 | + | 21.0251i | 0.385026 | + | 0.867061i | ||||
\(589\) | 13.4212 | − | 7.74875i | 0.553012 | − | 0.319282i | ||||
\(590\) | 7.19355 | − | 7.62641i | 0.296154 | − | 0.313974i | ||||
\(591\) | 4.32747 | − | 1.62642i | 0.178008 | − | 0.0669018i | ||||
\(592\) | 23.4295 | − | 17.4587i | 0.962945 | − | 0.717548i | ||||
\(593\) | − | 27.7648i | − | 1.14016i | −0.821589 | − | 0.570081i | \(-0.806912\pi\) | ||
0.821589 | − | 0.570081i | \(-0.193088\pi\) | |||||||
\(594\) | 1.88264 | + | 5.63742i | 0.0772458 | + | 0.231306i | ||||
\(595\) | 1.12070 | 0.0459444 | ||||||||
\(596\) | 1.32648 | + | 22.6884i | 0.0543349 | + | 0.929355i | ||||
\(597\) | 15.5265 | + | 41.3121i | 0.635459 | + | 1.69079i | ||||
\(598\) | 7.92381 | − | 8.40061i | 0.324029 | − | 0.343527i | ||||
\(599\) | 7.44295 | + | 12.8916i | 0.304111 | + | 0.526735i | 0.977063 | − | 0.212951i | \(-0.0683075\pi\) |
−0.672952 | + | 0.739686i | \(0.734974\pi\) | |||||||
\(600\) | 3.18923 | + | 3.71871i | 0.130200 | + | 0.151816i | ||||
\(601\) | −17.1527 | + | 29.7093i | −0.699671 | + | 1.21187i | 0.268909 | + | 0.963166i | \(0.413337\pi\) |
−0.968580 | + | 0.248701i | \(0.919996\pi\) | |||||||
\(602\) | −2.03879 | − | 6.80730i | −0.0830950 | − | 0.277445i | ||||
\(603\) | 37.9495 | + | 12.9220i | 1.54542 | + | 0.526225i | ||||
\(604\) | −13.8555 | − | 21.0561i | −0.563771 | − | 0.856759i | ||||
\(605\) | −5.17292 | + | 8.95976i | −0.210309 | + | 0.364266i | ||||
\(606\) | −1.01839 | − | 0.426607i | −0.0413692 | − | 0.0173297i | ||||
\(607\) | 15.5493 | − | 8.97738i | 0.631126 | − | 0.364381i | −0.150062 | − | 0.988677i | \(-0.547947\pi\) |
0.781188 | + | 0.624296i | \(0.214614\pi\) | |||||||
\(608\) | −17.2482 | + | 7.45145i | −0.699506 | + | 0.302196i | ||||
\(609\) | −1.82975 | + | 2.22742i | −0.0741454 | + | 0.0902597i | ||||
\(610\) | 6.96379 | + | 1.64964i | 0.281956 | + | 0.0667918i | ||||
\(611\) | 55.0103i | 2.22548i | ||||||||
\(612\) | −2.81761 | − | 10.8620i | −0.113895 | − | 0.439072i | ||||
\(613\) | 21.2137i | 0.856814i | 0.903586 | + | 0.428407i | \(0.140925\pi\) | ||||
−0.903586 | + | 0.428407i | \(0.859075\pi\) | |||||||
\(614\) | 3.51795 | − | 14.8507i | 0.141973 | − | 0.599327i | ||||
\(615\) | 14.4545 | + | 2.39344i | 0.582860 | + | 0.0965128i | ||||
\(616\) | 1.35006 | + | 0.237591i | 0.0543957 | + | 0.00957283i | ||||
\(617\) | 21.3493 | − | 12.3260i | 0.859491 | − | 0.496227i | −0.00435075 | − | 0.999991i | \(-0.501385\pi\) |
0.863842 | + | 0.503763i | \(0.168052\pi\) | |||||||
\(618\) | 0.732598 | + | 0.962683i | 0.0294694 | + | 0.0387248i | ||||
\(619\) | 13.3766 | − | 23.1689i | 0.537650 | − | 0.931237i | −0.461380 | − | 0.887203i | \(-0.652645\pi\) |
0.999030 | − | 0.0440347i | \(-0.0140212\pi\) | |||||||
\(620\) | 5.12962 | + | 7.79545i | 0.206010 | + | 0.313073i | ||||
\(621\) | −10.4242 | + | 0.326503i | −0.418309 | + | 0.0131021i | ||||
\(622\) | −3.30487 | + | 0.989810i | −0.132513 | + | 0.0396878i | ||||
\(623\) | 2.82172 | − | 4.88735i | 0.113050 | − | 0.195808i | ||||
\(624\) | 28.1549 | + | 1.33268i | 1.12710 | + | 0.0533498i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 14.1669 | + | 13.3629i | 0.566225 | + | 0.534087i | ||||
\(627\) | 4.59047 | + | 0.760112i | 0.183326 | + | 0.0303559i | ||||
\(628\) | −35.6231 | + | 2.08271i | −1.42152 | + | 0.0831092i | ||||
\(629\) | 13.6617 | 0.544729 | ||||||||
\(630\) | 2.24744 | − | 1.18840i | 0.0895400 | − | 0.0473470i | ||||
\(631\) | − | 31.8679i | − | 1.26864i | −0.773069 | − | 0.634322i | \(-0.781280\pi\) | ||
0.773069 | − | 0.634322i | \(-0.218720\pi\) | |||||||
\(632\) | −11.8195 | + | 4.30637i | −0.470153 | + | 0.171298i | ||||
\(633\) | 18.9798 | + | 15.5913i | 0.754379 | + | 0.619698i | ||||
\(634\) | 16.1297 | + | 15.2142i | 0.640592 | + | 0.604233i | ||||
\(635\) | 9.92589 | − | 5.73071i | 0.393897 | − | 0.227416i | ||||
\(636\) | 18.1653 | + | 1.92720i | 0.720300 | + | 0.0764185i | ||||
\(637\) | −23.3980 | − | 13.5088i | −0.927062 | − | 0.535239i | ||||
\(638\) | −0.911459 | − | 3.04326i | −0.0360850 | − | 0.120484i | ||||
\(639\) | −7.31981 | + | 6.40711i | −0.289567 | + | 0.253461i | ||||
\(640\) | −5.08540 | − | 10.1064i | −0.201018 | − | 0.399489i | ||||
\(641\) | 2.74659 | + | 1.58575i | 0.108484 | + | 0.0626332i | 0.553260 | − | 0.833008i | \(-0.313384\pi\) |
−0.444776 | + | 0.895642i | \(0.646717\pi\) | |||||||
\(642\) | −0.368151 | + | 0.0469719i | −0.0145298 | + | 0.00185383i | ||||
\(643\) | −18.4793 | − | 32.0071i | −0.728752 | − | 1.26223i | −0.957411 | − | 0.288728i | \(-0.906768\pi\) |
0.228659 | − | 0.973507i | \(-0.426566\pi\) | |||||||
\(644\) | −1.07908 | + | 2.14982i | −0.0425218 | + | 0.0847146i | ||||
\(645\) | 13.5955 | − | 5.10966i | 0.535321 | − | 0.201193i | ||||
\(646\) | −8.54845 | − | 2.02502i | −0.336334 | − | 0.0796735i | ||||
\(647\) | −35.4240 | −1.39266 | −0.696331 | − | 0.717720i | \(-0.745186\pi\) | ||||
−0.696331 | + | 0.717720i | \(0.745186\pi\) | |||||||
\(648\) | −17.1685 | − | 18.7947i | −0.674444 | − | 0.738326i | ||||
\(649\) | 5.99577 | 0.235355 | ||||||||
\(650\) | −5.59858 | − | 1.32623i | −0.219594 | − | 0.0520192i | ||||
\(651\) | 4.53309 | − | 1.70369i | 0.177666 | − | 0.0667731i | ||||
\(652\) | 22.2390 | + | 11.1627i | 0.870948 | + | 0.437165i | ||||
\(653\) | 16.5954 | + | 28.7441i | 0.649428 | + | 1.12484i | 0.983260 | + | 0.182209i | \(0.0583248\pi\) |
−0.333832 | + | 0.942633i | \(0.608342\pi\) | |||||||
\(654\) | −10.8169 | + | 1.38012i | −0.422976 | + | 0.0539669i | ||||
\(655\) | −12.3778 | − | 7.14631i | −0.483640 | − | 0.279230i | ||||
\(656\) | −31.0744 | − | 13.3879i | −1.21325 | − | 0.522710i | ||||
\(657\) | −36.1657 | + | 31.6562i | −1.41096 | + | 1.23503i | ||||
\(658\) | −3.28756 | − | 10.9768i | −0.128163 | − | 0.427921i | ||||
\(659\) | −19.4711 | − | 11.2416i | −0.758487 | − | 0.437912i | 0.0702655 | − | 0.997528i | \(-0.477615\pi\) |
−0.828752 | + | 0.559616i | \(0.810949\pi\) | |||||||
\(660\) | −0.295589 | + | 2.78614i | −0.0115058 | + | 0.108450i | ||||
\(661\) | −43.5920 | + | 25.1678i | −1.69553 | + | 0.978916i | −0.745634 | + | 0.666356i | \(0.767853\pi\) |
−0.949898 | + | 0.312559i | \(0.898814\pi\) | |||||||
\(662\) | 2.20866 | + | 2.08330i | 0.0858420 | + | 0.0809699i | ||||
\(663\) | 10.1835 | + | 8.36544i | 0.395495 | + | 0.324887i | ||||
\(664\) | 12.4118 | − | 4.52220i | 0.481673 | − | 0.175495i | ||||
\(665\) | − | 1.99029i | − | 0.0771802i | ||||||
\(666\) | 27.3969 | − | 14.4870i | 1.06161 | − | 0.561358i | ||||
\(667\) | 5.57454 | 0.215847 | ||||||||
\(668\) | −2.83912 | − | 48.5610i | −0.109849 | − | 1.87888i | ||||
\(669\) | −46.1216 | − | 7.63703i | −1.78316 | − | 0.295265i | ||||
\(670\) | 13.7475 | + | 12.9672i | 0.531112 | + | 0.500967i | ||||
\(671\) | 2.04644 | + | 3.54454i | 0.0790020 | + | 0.136836i | ||||
\(672\) | −5.69770 | + | 1.41669i | −0.219793 | + | 0.0546499i | ||||
\(673\) | −14.4128 | + | 24.9638i | −0.555574 | + | 0.962282i | 0.442285 | + | 0.896875i | \(0.354168\pi\) |
−0.997859 | + | 0.0654077i | \(0.979165\pi\) | |||||||
\(674\) | −29.1369 | + | 8.72652i | −1.12231 | + | 0.336133i | ||||
\(675\) | 2.73768 | + | 4.41646i | 0.105373 | + | 0.169990i | ||||
\(676\) | −5.93362 | + | 3.90448i | −0.228216 | + | 0.150172i | ||||
\(677\) | 19.2116 | − | 33.2754i | 0.738361 | − | 1.27888i | −0.214873 | − | 0.976642i | \(-0.568934\pi\) |
0.953233 | − | 0.302236i | \(-0.0977330\pi\) | |||||||
\(678\) | −24.4935 | − | 32.1862i | −0.940669 | − | 1.23610i | ||||
\(679\) | 2.02977 | − | 1.17189i | 0.0778953 | − | 0.0449729i | ||||
\(680\) | 0.916852 | − | 5.20983i | 0.0351597 | − | 0.199788i | ||||
\(681\) | −35.0148 | − | 5.79792i | −1.34177 | − | 0.222177i | ||||
\(682\) | −1.23021 | + | 5.19322i | −0.0471072 | + | 0.198859i | ||||
\(683\) | 49.7921i | 1.90524i | 0.304160 | + | 0.952621i | \(0.401624\pi\) | ||||
−0.304160 | + | 0.952621i | \(0.598376\pi\) | |||||||
\(684\) | −19.2902 | + | 5.00388i | −0.737580 | + | 0.191328i | ||||
\(685\) | − | 1.84220i | − | 0.0703869i | ||||||
\(686\) | 11.2485 | + | 2.66462i | 0.429468 | + | 0.101736i | ||||
\(687\) | −13.3021 | + | 16.1930i | −0.507505 | + | 0.617803i | ||||
\(688\) | −33.3131 | + | 3.90867i | −1.27005 | + | 0.149017i | ||||
\(689\) | −18.5794 | + | 10.7268i | −0.707818 | + | 0.408659i | ||||
\(690\) | −4.53463 | − | 1.89958i | −0.172631 | − | 0.0723156i | ||||
\(691\) | −22.6143 | + | 39.1691i | −0.860289 | + | 1.49006i | 0.0113615 | + | 0.999935i | \(0.496383\pi\) |
−0.871650 | + | 0.490128i | \(0.836950\pi\) | |||||||
\(692\) | 34.4284 | − | 22.6548i | 1.30877 | − | 0.861207i | ||||
\(693\) | 1.37636 | + | 0.468659i | 0.0522837 | + | 0.0178029i | ||||
\(694\) | 8.14902 | + | 27.2087i | 0.309332 | + | 1.03283i | ||||
\(695\) | 4.92786 | − | 8.53531i | 0.186925 | − | 0.323763i | ||||
\(696\) | 8.85770 | + | 10.3283i | 0.335750 | + | 0.391491i | ||||
\(697\) | −7.91018 | − | 13.7008i | −0.299620 | − | 0.518956i | ||||
\(698\) | 3.85938 | − | 4.09160i | 0.146080 | − | 0.154870i | ||||
\(699\) | 4.30055 | + | 11.4426i | 0.162662 | + | 0.432800i | ||||
\(700\) | 1.19641 | − | 0.0699481i | 0.0452199 | − | 0.00264379i | ||||
\(701\) | 3.69419 | 0.139528 | 0.0697638 | − | 0.997564i | \(-0.477775\pi\) | ||||
0.0697638 | + | 0.997564i | \(0.477775\pi\) | |||||||
\(702\) | 29.2926 | + | 5.97721i | 1.10558 | + | 0.225595i | ||||
\(703\) | − | 24.2623i | − | 0.915068i | ||||||
\(704\) | 2.20898 | − | 6.08168i | 0.0832542 | − | 0.229212i | ||||
\(705\) | 21.9227 | − | 8.23934i | 0.825658 | − | 0.310312i | ||||
\(706\) | −30.6844 | + | 32.5307i | −1.15482 | + | 1.22431i | ||||
\(707\) | −0.233919 | + | 0.135053i | −0.00879744 | + | 0.00507921i | ||||
\(708\) | −23.4699 | + | 10.4220i | −0.882054 | + | 0.391683i | ||||
\(709\) | 8.06684 | + | 4.65739i | 0.302956 | + | 0.174912i | 0.643770 | − | 0.765219i | \(-0.277369\pi\) |
−0.340814 | + | 0.940131i | \(0.610703\pi\) | |||||||
\(710\) | −4.39295 | + | 1.31569i | −0.164864 | + | 0.0493770i | ||||
\(711\) | −13.0887 | + | 2.59068i | −0.490864 | + | 0.0971581i | ||||
\(712\) | −20.4114 | − | 17.1157i | −0.764950 | − | 0.641438i | ||||
\(713\) | −8.11035 | − | 4.68251i | −0.303735 | − | 0.175361i | ||||
\(714\) | −2.53197 | − | 1.06065i | −0.0947567 | − | 0.0396939i | ||||
\(715\) | −1.64525 | − | 2.84966i | −0.0615289 | − | 0.106571i | ||||
\(716\) | −15.2443 | + | 30.3707i | −0.569707 | + | 1.13501i | ||||
\(717\) | −3.88578 | − | 3.19205i | −0.145117 | − | 0.119209i | ||||
\(718\) | −8.01745 | + | 33.8450i | −0.299209 | + | 1.26308i | ||||
\(719\) | −28.6898 | −1.06995 | −0.534975 | − | 0.844868i | \(-0.679679\pi\) | ||||
−0.534975 | + | 0.844868i | \(0.679679\pi\) | |||||||
\(720\) | −3.68589 | − | 11.4199i | −0.137365 | − | 0.425595i | ||||
\(721\) | 0.295940 | 0.0110214 | ||||||||
\(722\) | 2.59747 | − | 10.9650i | 0.0966680 | − | 0.408075i | ||||
\(723\) | 2.74600 | − | 16.5836i | 0.102125 | − | 0.616752i | ||||
\(724\) | 20.2051 | − | 40.2538i | 0.750915 | − | 1.49602i | ||||
\(725\) | −1.38869 | − | 2.40528i | −0.0515746 | − | 0.0893298i | ||||
\(726\) | 20.1667 | − | 15.3468i | 0.748456 | − | 0.569572i | ||||
\(727\) | 37.1076 | + | 21.4241i | 1.37624 | + | 0.794575i | 0.991705 | − | 0.128534i | \(-0.0410272\pi\) |
0.384539 | + | 0.923109i | \(0.374360\pi\) | |||||||
\(728\) | 4.43047 | − | 5.28358i | 0.164204 | − | 0.195822i | ||||
\(729\) | −14.9369 | − | 22.4920i | −0.553217 | − | 0.833037i | ||||
\(730\) | −21.7047 | + | 6.50057i | −0.803326 | + | 0.240597i | ||||
\(731\) | −13.5818 | − | 7.84143i | −0.502340 | − | 0.290026i | ||||
\(732\) | −14.1718 | − | 10.3176i | −0.523806 | − | 0.381350i | ||||
\(733\) | 32.8767 | − | 18.9813i | 1.21433 | − | 0.701092i | 0.250628 | − | 0.968083i | \(-0.419363\pi\) |
0.963699 | + | 0.266991i | \(0.0860295\pi\) | |||||||
\(734\) | 7.10973 | − | 7.53754i | 0.262425 | − | 0.278216i | ||||
\(735\) | −1.87904 | + | 11.3479i | −0.0693095 | + | 0.418574i | ||||
\(736\) | 9.11106 | + | 6.77511i | 0.335838 | + | 0.249734i | ||||
\(737\) | 10.8081i | 0.398121i | ||||||||
\(738\) | −30.3913 | − | 19.0874i | −1.11872 | − | 0.702616i | ||||
\(739\) | 10.5865 | 0.389432 | 0.194716 | − | 0.980860i | \(-0.437622\pi\) | ||||
0.194716 | + | 0.980860i | \(0.437622\pi\) | |||||||
\(740\) | 14.5846 | − | 0.852688i | 0.536139 | − | 0.0313454i | ||||
\(741\) | 14.8564 | − | 18.0852i | 0.545764 | − | 0.664377i | ||||
\(742\) | 3.06629 | − | 3.25079i | 0.112567 | − | 0.119340i | ||||
\(743\) | 9.31534 | + | 16.1346i | 0.341747 | + | 0.591922i | 0.984757 | − | 0.173935i | \(-0.0556482\pi\) |
−0.643011 | + | 0.765857i | \(0.722315\pi\) | |||||||
\(744\) | −4.21144 | − | 22.4668i | −0.154399 | − | 0.823672i | ||||
\(745\) | −5.68180 | + | 9.84116i | −0.208165 | + | 0.360552i | ||||
\(746\) | 13.0871 | + | 43.6965i | 0.479154 | + | 1.59984i | ||||
\(747\) | 13.7447 | − | 2.72052i | 0.502891 | − | 0.0995387i | ||||
\(748\) | 2.52727 | − | 1.66301i | 0.0924061 | − | 0.0608057i | ||||
\(749\) | −0.0453959 | + | 0.0786281i | −0.00165873 | + | 0.00287301i | ||||
\(750\) | 0.310014 | + | 2.42979i | 0.0113201 | + | 0.0887235i | ||||
\(751\) | 19.5847 | − | 11.3073i | 0.714657 | − | 0.412608i | −0.0981257 | − | 0.995174i | \(-0.531285\pi\) |
0.812783 | + | 0.582566i | \(0.197951\pi\) | |||||||
\(752\) | −53.7175 | + | 6.30275i | −1.95888 | + | 0.229838i | ||||
\(753\) | −4.43888 | − | 11.8107i | −0.161762 | − | 0.430405i | ||||
\(754\) | −15.5494 | − | 3.68345i | −0.566275 | − | 0.134143i | ||||
\(755\) | − | 12.6029i | − | 0.458666i | ||||||
\(756\) | −6.20228 | + | 0.557904i | −0.225575 | + | 0.0202908i | ||||
\(757\) | 35.8025i | 1.30126i | 0.759394 | + | 0.650631i | \(0.225496\pi\) | ||||
−0.759394 | + | 0.650631i | \(0.774504\pi\) | |||||||
\(758\) | 2.26633 | − | 9.56712i | 0.0823169 | − | 0.347493i | ||||
\(759\) | −0.989202 | − | 2.63201i | −0.0359058 | − | 0.0955358i | ||||
\(760\) | −9.25228 | − | 1.62826i | −0.335616 | − | 0.0590634i | ||||
\(761\) | −31.6012 | + | 18.2449i | −1.14554 | + | 0.661379i | −0.947797 | − | 0.318875i | \(-0.896695\pi\) |
−0.197745 | + | 0.980254i | \(0.563362\pi\) | |||||||
\(762\) | −27.8489 | + | 3.55320i | −1.00886 | + | 0.128719i | ||||
\(763\) | −1.33381 | + | 2.31023i | −0.0482873 | + | 0.0836360i | ||||
\(764\) | −12.2365 | + | 8.05192i | −0.442700 | + | 0.291308i | ||||
\(765\) | 1.80853 | − | 5.31131i | 0.0653875 | − | 0.192031i | ||||
\(766\) | 37.2284 | − | 11.1499i | 1.34512 | − | 0.402863i | ||||
\(767\) | 15.0796 | − | 26.1187i | 0.544494 | − | 0.943092i | ||||
\(768\) | 1.92446 | + | 27.6459i | 0.0694429 | + | 0.997586i | ||||
\(769\) | 15.6746 | + | 27.1492i | 0.565241 | + | 0.979026i | 0.997027 | + | 0.0770499i | \(0.0245501\pi\) |
−0.431786 | + | 0.901976i | \(0.642117\pi\) | |||||||
\(770\) | 0.498598 | + | 0.470299i | 0.0179682 | + | 0.0169484i | ||||
\(771\) | −18.5973 | + | 22.6391i | −0.669765 | + | 0.815327i | ||||
\(772\) | −0.0844897 | − | 1.44513i | −0.00304085 | − | 0.0520113i | ||||
\(773\) | −35.5512 | −1.27869 | −0.639344 | − | 0.768921i | \(-0.720794\pi\) | ||||
−0.639344 | + | 0.768921i | \(0.720794\pi\) | |||||||
\(774\) | −35.5517 | − | 1.32288i | −1.27788 | − | 0.0475499i | ||||
\(775\) | 4.66589i | 0.167604i | ||||||||
\(776\) | −3.78720 | − | 10.3945i | −0.135952 | − | 0.373141i | ||||
\(777\) | 1.23851 | − | 7.47964i | 0.0444315 | − | 0.268331i | ||||
\(778\) | 32.6207 | + | 30.7692i | 1.16951 | + | 1.10313i | ||||
\(779\) | −24.3317 | + | 14.0479i | −0.871774 | + | 0.503319i | ||||
\(780\) | 11.3935 | + | 8.29491i | 0.407954 | + | 0.297005i | ||||
\(781\) | −2.27127 | − | 1.31132i | −0.0812724 | − | 0.0469226i | ||||
\(782\) | 1.52312 | + | 5.08554i | 0.0544668 | + | 0.181859i | ||||
\(783\) | 7.60357 | + | 12.2662i | 0.271729 | + | 0.438357i | ||||
\(784\) | 10.5106 | − | 24.3959i | 0.375377 | − | 0.871282i | ||||
\(785\) | −15.4516 | − | 8.92099i | −0.551491 | − | 0.318404i | ||||
\(786\) | 21.2013 | + | 27.8600i | 0.756227 | + | 0.993733i | ||||
\(787\) | −2.50484 | − | 4.33851i | −0.0892879 | − | 0.154651i | 0.817922 | − | 0.575329i | \(-0.195126\pi\) |
−0.907210 | + | 0.420677i | \(0.861792\pi\) | |||||||
\(788\) | −4.77091 | − | 2.39472i | −0.169957 | − | 0.0853084i | ||||
\(789\) | 1.85762 | − | 11.2185i | 0.0661329 | − | 0.399390i | ||||
\(790\) | −6.12039 | − | 1.44984i | −0.217754 | − | 0.0515831i | ||||
\(791\) | −9.89441 | −0.351805 | ||||||||
\(792\) | 3.30467 | − | 6.01489i | 0.117426 | − | 0.213730i | ||||
\(793\) | 20.5876 | 0.731086 | ||||||||
\(794\) | 3.75073 | + | 0.888502i | 0.133108 | + | 0.0315317i | ||||
\(795\) | 7.05765 | + | 5.79763i | 0.250309 | + | 0.205621i | ||||
\(796\) | 22.8611 | − | 45.5454i | 0.810292 | − | 1.61431i | ||||
\(797\) | 8.82804 | + | 15.2906i | 0.312705 | + | 0.541621i | 0.978947 | − | 0.204114i | \(-0.0654315\pi\) |
−0.666242 | + | 0.745736i | \(0.732098\pi\) | |||||||
\(798\) | −1.88364 | + | 4.49660i | −0.0666803 | + | 0.159178i | ||||
\(799\) | −21.9006 | − | 12.6443i | −0.774789 | − | 0.447325i | ||||
\(800\) | 0.653616 | − | 5.61897i | 0.0231088 | − | 0.198660i | ||||
\(801\) | −18.6089 | − | 21.2598i | −0.657513 | − | 0.751177i | ||||
\(802\) | 4.52397 | + | 15.1050i | 0.159747 | + | 0.533378i | ||||
\(803\) | −11.2219 | − | 6.47896i | −0.396012 | − | 0.228637i | ||||
\(804\) | −18.7869 | − | 42.3073i | −0.662562 | − | 1.49206i | ||||
\(805\) | −1.04158 | + | 0.601359i | −0.0367110 | + | 0.0211951i | ||||
\(806\) | 19.5286 | + | 18.4202i | 0.687866 | + | 0.648824i | ||||
\(807\) | 24.1780 | − | 9.08696i | 0.851106 | − | 0.319876i | ||||
\(808\) | 0.436453 | + | 1.19791i | 0.0153544 | + | 0.0421423i | ||||
\(809\) | − | 52.1748i | − | 1.83437i | −0.398463 | − | 0.917184i | \(-0.630456\pi\) | ||
0.398463 | − | 0.917184i | \(-0.369544\pi\) | |||||||
\(810\) | −2.00535 | − | 12.5690i | −0.0704607 | − | 0.441628i | ||||
\(811\) | 13.3347 | 0.468244 | 0.234122 | − | 0.972207i | \(-0.424778\pi\) | ||||
0.234122 | + | 0.972207i | \(0.424778\pi\) | |||||||
\(812\) | 3.32287 | − | 0.194272i | 0.116610 | − | 0.00681761i | ||||
\(813\) | −10.1672 | − | 27.0523i | −0.356580 | − | 0.948766i | ||||
\(814\) | 6.07806 | + | 5.73309i | 0.213036 | + | 0.200945i | ||||
\(815\) | 6.22083 | + | 10.7748i | 0.217906 | + | 0.377425i | ||||
\(816\) | −7.00208 | + | 10.9027i | −0.245122 | + | 0.381670i | ||||
\(817\) | −13.9258 | + | 24.1202i | −0.487203 | + | 0.843861i | ||||
\(818\) | −14.3353 | + | 4.29343i | −0.501221 | + | 0.150116i | ||||
\(819\) | 5.50318 | − | 4.81699i | 0.192297 | − | 0.168319i | ||||
\(820\) | −9.29963 | − | 14.1326i | −0.324757 | − | 0.493532i | ||||
\(821\) | 18.4884 | − | 32.0228i | 0.645249 | − | 1.11760i | −0.338995 | − | 0.940788i | \(-0.610087\pi\) |
0.984244 | − | 0.176816i | \(-0.0565797\pi\) | |||||||
\(822\) | −1.74349 | + | 4.16203i | −0.0608112 | + | 0.145167i | ||||
\(823\) | −29.4402 | + | 16.9973i | −1.02622 | + | 0.592488i | −0.915899 | − | 0.401408i | \(-0.868521\pi\) |
−0.110320 | + | 0.993896i | \(0.535188\pi\) | |||||||
\(824\) | 0.242110 | − | 1.37574i | 0.00843429 | − | 0.0479262i | ||||
\(825\) | −0.889225 | + | 1.08248i | −0.0309588 | + | 0.0376872i | ||||
\(826\) | −1.44808 | + | 6.11295i | −0.0503853 | + | 0.212697i | ||||
\(827\) | 19.2929i | 0.670881i | 0.942061 | + | 0.335441i | \(0.108885\pi\) | ||||
−0.942061 | + | 0.335441i | \(0.891115\pi\) | |||||||
\(828\) | 8.44717 | + | 8.58330i | 0.293559 | + | 0.298290i | ||||
\(829\) | − | 18.2468i | − | 0.633737i | −0.948469 | − | 0.316869i | \(-0.897369\pi\) | ||
0.948469 | − | 0.316869i | \(-0.102631\pi\) | |||||||
\(830\) | 6.42713 | + | 1.52251i | 0.223089 | + | 0.0528470i | ||||
\(831\) | −33.7678 | − | 5.59144i | −1.17139 | − | 0.193965i | ||||
\(832\) | −20.9372 | − | 24.9184i | −0.725868 | − | 0.863892i | ||||
\(833\) | 10.7562 | − | 6.21012i | 0.372682 | − | 0.215168i | ||||
\(834\) | −19.2113 | + | 14.6197i | −0.665234 | + | 0.506241i | ||||
\(835\) | 12.1610 | − | 21.0634i | 0.420848 | − | 0.728930i | ||||
\(836\) | −2.95339 | − | 4.48825i | −0.102145 | − | 0.155229i | ||||
\(837\) | −0.759009 | − | 24.2328i | −0.0262352 | − | 0.837608i | ||||
\(838\) | 4.99149 | + | 16.6660i | 0.172428 | + | 0.575718i | ||||
\(839\) | −1.62551 | + | 2.81546i | −0.0561187 | + | 0.0972005i | −0.892720 | − | 0.450612i | \(-0.851206\pi\) |
0.836601 | + | 0.547812i | \(0.184539\pi\) | |||||||
\(840\) | −2.76920 | − | 0.974267i | −0.0955466 | − | 0.0336154i | ||||
\(841\) | 10.6431 | + | 18.4344i | 0.367003 | + | 0.635668i | ||||
\(842\) | 35.6677 | − | 37.8139i | 1.22919 | − | 1.30315i | ||||
\(843\) | 29.6485 | + | 4.90934i | 1.02115 | + | 0.169087i | ||||
\(844\) | −1.65539 | − | 28.3141i | −0.0569807 | − | 0.974610i | ||||
\(845\) | −3.55151 | −0.122176 | ||||||||
\(846\) | −57.3272 | − | 2.13315i | −1.97095 | − | 0.0733392i | ||||
\(847\) | − | 6.19948i | − | 0.213017i | ||||||
\(848\) | −12.6034 | − | 16.9138i | −0.432804 | − | 0.580821i | ||||
\(849\) | −6.50933 | − | 5.34720i | −0.223399 | − | 0.183515i | ||||
\(850\) | 1.81486 | − | 1.92406i | 0.0622491 | − | 0.0659948i | ||||
\(851\) | −12.6972 | + | 7.33075i | −0.435256 | + | 0.251295i | ||||
\(852\) | 11.1700 | + | 1.18506i | 0.382680 | + | 0.0405994i | ||||
\(853\) | 30.7596 | + | 17.7590i | 1.05319 | + | 0.608058i | 0.923540 | − | 0.383502i | \(-0.125282\pi\) |
0.129648 | + | 0.991560i | \(0.458615\pi\) | |||||||
\(854\) | −4.10807 | + | 1.23037i | −0.140575 | + | 0.0421024i | ||||
\(855\) | −9.43251 | − | 3.21182i | −0.322585 | − | 0.109842i | ||||
\(856\) | 0.328380 | + | 0.275358i | 0.0112238 | + | 0.00941155i | ||||
\(857\) | −8.43191 | − | 4.86817i | −0.288029 | − | 0.166293i | 0.349024 | − | 0.937114i | \(-0.386513\pi\) |
−0.637052 | + | 0.770820i | \(0.719847\pi\) | |||||||
\(858\) | 1.02010 | + | 7.99523i | 0.0348256 | + | 0.272953i | ||||
\(859\) | 10.2239 | + | 17.7083i | 0.348835 | + | 0.604200i | 0.986043 | − | 0.166492i | \(-0.0532439\pi\) |
−0.637208 | + | 0.770692i | \(0.719911\pi\) | |||||||
\(860\) | −14.9886 | − | 7.52341i | −0.511107 | − | 0.256546i | ||||
\(861\) | −8.21816 | + | 3.08868i | −0.280074 | + | 0.105262i | ||||
\(862\) | 10.2834 | − | 43.4107i | 0.350256 | − | 1.47857i | ||||
\(863\) | 15.1892 | 0.517047 | 0.258523 | − | 0.966005i | \(-0.416764\pi\) | ||||
0.258523 | + | 0.966005i | \(0.416764\pi\) | |||||||
\(864\) | −2.48058 | + | 29.2890i | −0.0843909 | + | 0.996433i | ||||
\(865\) | 20.6068 | 0.700651 | ||||||||
\(866\) | 7.07154 | − | 29.8519i | 0.240301 | − | 1.01441i | ||||
\(867\) | 21.8913 | − | 8.22754i | 0.743469 | − | 0.279422i | ||||
\(868\) | −4.99760 | − | 2.50851i | −0.169630 | − | 0.0851442i | ||||
\(869\) | −1.79859 | − | 3.11525i | −0.0610130 | − | 0.105678i | ||||
\(870\) | 0.861025 | + | 6.74845i | 0.0291915 | + | 0.228794i | ||||
\(871\) | 47.0820 | + | 27.1828i | 1.59531 | + | 0.921054i | ||||
\(872\) | 9.64840 | + | 8.09052i | 0.326736 | + | 0.273979i | ||||
\(873\) | −2.27835 | − | 11.5107i | −0.0771104 | − | 0.389579i | ||||
\(874\) | 9.03156 | − | 2.70496i | 0.305497 | − | 0.0914966i | ||||
\(875\) | 0.518944 | + | 0.299612i | 0.0175435 | + | 0.0101287i | ||||
\(876\) | 55.1890 | + | 5.85514i | 1.86466 | + | 0.197827i | ||||
\(877\) | 17.8435 | − | 10.3020i | 0.602533 | − | 0.347873i | −0.167504 | − | 0.985871i | \(-0.553571\pi\) |
0.770037 | + | 0.637999i | \(0.220238\pi\) | |||||||
\(878\) | −1.51152 | + | 1.60248i | −0.0510115 | + | 0.0540810i | ||||
\(879\) | −42.8331 | − | 35.1860i | −1.44472 | − | 1.18679i | ||||
\(880\) | 2.59419 | − | 1.93308i | 0.0874500 | − | 0.0651642i | ||||
\(881\) | − | 13.0624i | − | 0.440083i | −0.975490 | − | 0.220042i | \(-0.929381\pi\) | ||
0.975490 | − | 0.220042i | \(-0.0706193\pi\) | |||||||
\(882\) | 14.9851 | − | 23.8596i | 0.504575 | − | 0.803395i | ||||
\(883\) | 38.3841 | 1.29173 | 0.645864 | − | 0.763452i | \(-0.276497\pi\) | ||||
0.645864 | + | 0.763452i | \(0.276497\pi\) | |||||||
\(884\) | −0.888191 | − | 15.1918i | −0.0298731 | − | 0.510955i | ||||
\(885\) | −12.6675 | − | 2.09754i | −0.425812 | − | 0.0705079i | ||||
\(886\) | −23.3937 | + | 24.8013i | −0.785925 | + | 0.833217i | ||||
\(887\) | 0.0432052 | + | 0.0748336i | 0.00145069 | + | 0.00251267i | 0.866750 | − | 0.498743i | \(-0.166205\pi\) |
−0.865299 | + | 0.501256i | \(0.832872\pi\) | |||||||
\(888\) | −33.7574 | − | 11.8766i | −1.13283 | − | 0.398553i | ||||
\(889\) | −3.43398 | + | 5.94784i | −0.115172 | + | 0.199484i | ||||
\(890\) | −3.82132 | − | 12.7589i | −0.128091 | − | 0.427681i | ||||
\(891\) | 4.44219 | − | 5.76664i | 0.148819 | − | 0.193190i | ||||
\(892\) | 29.6734 | + | 45.0946i | 0.993541 | + | 1.50988i | ||||
\(893\) | −22.4555 | + | 38.8940i | −0.751443 | + | 1.30154i | ||||
\(894\) | 22.1505 | − | 16.8565i | 0.740825 | − | 0.563765i | ||||
\(895\) | −14.7146 | + | 8.49547i | −0.491854 | + | 0.283972i | ||||
\(896\) | 5.66703 | + | 3.72099i | 0.189322 | + | 0.124309i | ||||
\(897\) | −13.9534 | − | 2.31047i | −0.465891 | − | 0.0771444i | ||||
\(898\) | 31.2521 | + | 7.40323i | 1.04290 | + | 0.247049i | ||||
\(899\) | 12.9589i | 0.432205i | ||||||||
\(900\) | 1.59919 | − | 5.78296i | 0.0533064 | − | 0.192765i | ||||
\(901\) | − | 9.86242i | − | 0.328565i | ||||||
\(902\) | 2.23028 | − | 9.41494i | 0.0742603 | − | 0.313483i | ||||
\(903\) | −5.52436 | + | 6.72499i | −0.183839 | + | 0.223794i | ||||
\(904\) | −8.09465 | + | 45.9962i | −0.269224 | + | 1.52981i | ||||
\(905\) | 19.5029 | − | 11.2600i | 0.648300 | − | 0.374296i | ||||
\(906\) | −11.9276 | + | 28.4733i | −0.396268 | + | 0.945963i | ||||
\(907\) | −1.90025 | + | 3.29134i | −0.0630969 | + | 0.109287i | −0.895848 | − | 0.444360i | \(-0.853431\pi\) |
0.832751 | + | 0.553647i | \(0.186764\pi\) | |||||||
\(908\) | 22.5276 | + | 34.2351i | 0.747606 | + | 1.13613i | ||||
\(909\) | 0.262567 | + | 1.32655i | 0.00870880 | + | 0.0439988i | ||||
\(910\) | 3.30271 | − | 0.989163i | 0.109484 | − | 0.0327904i | ||||
\(911\) | −24.8293 | + | 43.0056i | −0.822630 | + | 1.42484i | 0.0810866 | + | 0.996707i | \(0.474161\pi\) |
−0.903717 | + | 0.428130i | \(0.859172\pi\) | |||||||
\(912\) | 19.3624 | + | 12.4352i | 0.641152 | + | 0.411771i | ||||
\(913\) | 1.88873 | + | 3.27138i | 0.0625080 | + | 0.108267i | ||||
\(914\) | 32.5815 | + | 30.7323i | 1.07770 | + | 1.01653i | ||||
\(915\) | −3.08357 | − | 8.20458i | −0.101940 | − | 0.271235i | ||||
\(916\) | 24.1568 | − | 1.41233i | 0.798164 | − | 0.0466647i | ||||
\(917\) | 8.56450 | 0.282825 | ||||||||
\(918\) | −9.11266 | + | 10.2880i | −0.300763 | + | 0.339556i | ||||
\(919\) | − | 6.89894i | − | 0.227575i | −0.993505 | − | 0.113787i | \(-0.963702\pi\) | ||
0.993505 | − | 0.113787i | \(-0.0362983\pi\) | |||||||
\(920\) | 1.94342 | + | 5.33400i | 0.0640726 | + | 0.175857i | ||||
\(921\) | −17.4968 | + | 6.57591i | −0.576539 | + | 0.216684i | ||||
\(922\) | 1.92288 | + | 1.81375i | 0.0633268 | + | 0.0597325i | ||||
\(923\) | −11.4247 | + | 6.59605i | −0.376048 | + | 0.217112i | ||||
\(924\) | −0.681368 | − | 1.53441i | −0.0224154 | − | 0.0504785i | ||||
\(925\) | 6.32608 | + | 3.65236i | 0.208000 | + | 0.120089i | ||||
\(926\) | −11.1791 | − | 37.3258i | −0.367368 | − | 1.22660i | ||||
\(927\) | 0.477572 | − | 1.40254i | 0.0156855 | − | 0.0460654i | ||||
\(928\) | 1.81534 | − | 15.6060i | 0.0595914 | − | 0.512292i | ||||
\(929\) | −24.6040 | − | 14.2051i | −0.807231 | − | 0.466055i | 0.0387624 | − | 0.999248i | \(-0.487658\pi\) |
−0.845993 | + | 0.533193i | \(0.820992\pi\) | |||||||
\(930\) | 4.41587 | − | 10.5415i | 0.144802 | − | 0.345669i | ||||
\(931\) | −11.0287 | − | 19.1023i | −0.361452 | − | 0.626054i | ||||
\(932\) | 6.33209 | − | 12.6152i | 0.207414 | − | 0.413224i | ||||
\(933\) | 3.26491 | + | 2.68201i | 0.106888 | + | 0.0878052i | ||||
\(934\) | −47.5693 | − | 11.2686i | −1.55651 | − | 0.368719i | ||||
\(935\) | 1.51267 | 0.0494696 | ||||||||
\(936\) | −17.8906 | − | 29.5235i | −0.584773 | − | 0.965005i | ||||
\(937\) | −12.4845 | −0.407852 | −0.203926 | − | 0.978986i | \(-0.565370\pi\) | ||||
−0.203926 | + | 0.978986i | \(0.565370\pi\) | |||||||
\(938\) | −11.0193 | − | 2.61034i | −0.359793 | − | 0.0852306i | ||||
\(939\) | 3.89642 | − | 23.5313i | 0.127155 | − | 0.767913i | ||||
\(940\) | −24.1692 | − | 12.1315i | −0.788312 | − | 0.395687i | ||||
\(941\) | −10.2303 | − | 17.7194i | −0.333498 | − | 0.577636i | 0.649697 | − | 0.760193i | \(-0.274896\pi\) |
−0.983195 | + | 0.182558i | \(0.941562\pi\) | |||||||
\(942\) | 26.4664 | + | 34.7786i | 0.862320 | + | 1.13315i | ||||
\(943\) | 14.7035 | + | 8.48906i | 0.478811 | + | 0.276442i | ||||
\(944\) | 27.2327 | + | 11.7327i | 0.886347 | + | 0.381868i | ||||
\(945\) | −2.74393 | − | 1.47165i | −0.0892600 | − | 0.0478728i | ||||
\(946\) | −2.75186 | − | 9.18816i | −0.0894707 | − | 0.298733i | ||||
\(947\) | −6.24338 | − | 3.60462i | −0.202883 | − | 0.117134i | 0.395117 | − | 0.918631i | \(-0.370704\pi\) |
−0.597999 | + | 0.801497i | \(0.704037\pi\) | |||||||
\(948\) | 12.4554 | + | 9.06802i | 0.404534 | + | 0.294516i | ||||
\(949\) | −56.4471 | + | 32.5897i | −1.83235 | + | 1.05791i | ||||
\(950\) | −3.41700 | − | 3.22306i | −0.110862 | − | 0.104570i | ||||
\(951\) | 4.43624 | − | 26.7914i | 0.143855 | − | 0.868770i | ||||
\(952\) | 1.08513 | + | 2.97831i | 0.0351694 | + | 0.0965275i | ||||
\(953\) | − | 22.0465i | − | 0.714157i | −0.934074 | − | 0.357079i | \(-0.883773\pi\) | ||
0.934074 | − | 0.357079i | \(-0.116227\pi\) | |||||||
\(954\) | −10.4582 | − | 19.7779i | −0.338595 | − | 0.640332i | ||||
\(955\) | −7.32401 | −0.236999 | ||||||||
\(956\) | 0.338912 | + | 5.79682i | 0.0109612 | + | 0.187482i | ||||
\(957\) | −2.46971 | + | 3.00646i | −0.0798344 | + | 0.0971851i | ||||
\(958\) | 6.57948 | + | 6.20605i | 0.212574 | + | 0.200508i | ||||
\(959\) | 0.551946 | + | 0.955999i | 0.0178233 | + | 0.0308708i | ||||
\(960\) | −6.79458 | + | 12.0762i | −0.219294 | + | 0.389756i | ||||
\(961\) | −4.61474 | + | 7.99296i | −0.148862 | + | 0.257837i | ||||
\(962\) | 40.2610 | − | 12.0582i | 1.29807 | − | 0.388772i | ||||
\(963\) | 0.299381 | + | 0.342029i | 0.00964743 | + | 0.0110217i | ||||
\(964\) | −16.2144 | + | 10.6695i | −0.522229 | + | 0.343641i | ||||
\(965\) | 0.361899 | − | 0.626828i | 0.0116499 | − | 0.0201783i | ||||
\(966\) | 2.92236 | − | 0.372859i | 0.0940253 | − | 0.0119965i | ||||
\(967\) | −17.7473 | + | 10.2464i | −0.570714 | + | 0.329502i | −0.757434 | − | 0.652911i | \(-0.773547\pi\) |
0.186720 | + | 0.982413i | \(0.440214\pi\) | |||||||
\(968\) | −28.8196 | − | 5.07182i | −0.926296 | − | 0.163014i | ||||
\(969\) | 3.78526 | + | 10.0716i | 0.121600 | + | 0.323546i | ||||
\(970\) | 1.27505 | − | 5.38251i | 0.0409394 | − | 0.172822i | ||||
\(971\) | − | 22.1348i | − | 0.710341i | −0.934802 | − | 0.355170i | \(-0.884423\pi\) | ||
0.934802 | − | 0.355170i | \(-0.115577\pi\) | |||||||
\(972\) | −7.36484 | + | 30.2945i | −0.236227 | + | 0.971698i | ||||
\(973\) | 5.90580i | 0.189331i | ||||||||
\(974\) | −13.2196 | − | 3.13155i | −0.423583 | − | 0.100341i | ||||
\(975\) | 2.47906 | + | 6.59612i | 0.0793933 | + | 0.211245i | ||||
\(976\) | 2.35880 | + | 20.1038i | 0.0755034 | + | 0.643506i | ||||
\(977\) | 37.3001 | − | 21.5352i | 1.19334 | − | 0.688974i | 0.234275 | − | 0.972170i | \(-0.424728\pi\) |
0.959062 | + | 0.283197i | \(0.0913949\pi\) | |||||||
\(978\) | −3.85709 | − | 30.2307i | −0.123336 | − | 0.966670i | ||||
\(979\) | 3.80861 | − | 6.59671i | 0.121724 | − | 0.210832i | ||||
\(980\) | 11.0952 | − | 7.30095i | 0.354424 | − | 0.233220i | ||||
\(981\) | 8.79636 | + | 10.0494i | 0.280846 | + | 0.320853i | ||||
\(982\) | 0.669657 | + | 2.23591i | 0.0213696 | + | 0.0713508i | ||||
\(983\) | 18.6912 | − | 32.3741i | 0.596157 | − | 1.03257i | −0.397226 | − | 0.917721i | \(-0.630027\pi\) |
0.993383 | − | 0.114853i | \(-0.0366396\pi\) | |||||||
\(984\) | 7.63505 | + | 40.7307i | 0.243396 | + | 1.29845i | ||||
\(985\) | −1.33455 | − | 2.31150i | −0.0425222 | − | 0.0736506i | ||||
\(986\) | 5.04054 | − | 5.34385i | 0.160524 | − | 0.170183i | ||||
\(987\) | −8.90806 | + | 10.8441i | −0.283547 | + | 0.345171i | ||||
\(988\) | −26.9796 | + | 1.57736i | −0.858334 | + | 0.0501826i | ||||
\(989\) | 16.8306 | 0.535180 | ||||||||
\(990\) | 3.03348 | − | 1.60404i | 0.0964102 | − | 0.0509798i | ||||
\(991\) | 25.8741i | 0.821917i | 0.911654 | + | 0.410959i | \(0.134806\pi\) | ||||
−0.911654 | + | 0.410959i | \(0.865194\pi\) | |||||||
\(992\) | −15.7499 | + | 21.1802i | −0.500058 | + | 0.672471i | ||||
\(993\) | 0.607461 | − | 3.66858i | 0.0192772 | − | 0.116419i | ||||
\(994\) | 1.88550 | − | 1.99895i | 0.0598043 | − | 0.0634029i | ||||
\(995\) | 22.0667 | − | 12.7402i | 0.699562 | − | 0.403892i | ||||
\(996\) | −13.0797 | − | 9.52250i | −0.414446 | − | 0.301732i | ||||
\(997\) | 9.32829 | + | 5.38569i | 0.295430 | + | 0.170566i | 0.640388 | − | 0.768052i | \(-0.278774\pi\) |
−0.344958 | + | 0.938618i | \(0.612107\pi\) | |||||||
\(998\) | −13.4548 | + | 4.02972i | −0.425904 | + | 0.127559i | ||||
\(999\) | −33.4493 | − | 17.9399i | −1.05829 | − | 0.567592i |
(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 | 360.2.bm.a.11.11 | ✓ | 48 | |
3.2 | odd | 2 | 1080.2.bm.b.251.14 | 48 | |||
4.3 | odd | 2 | 1440.2.cc.a.911.3 | 48 | |||
8.3 | odd | 2 | 360.2.bm.b.11.20 | yes | 48 | ||
8.5 | even | 2 | 1440.2.cc.b.911.3 | 48 | |||
9.4 | even | 3 | 1080.2.bm.a.611.5 | 48 | |||
9.5 | odd | 6 | 360.2.bm.b.131.20 | yes | 48 | ||
12.11 | even | 2 | 4320.2.cc.b.1871.13 | 48 | |||
24.5 | odd | 2 | 4320.2.cc.a.1871.12 | 48 | |||
24.11 | even | 2 | 1080.2.bm.a.251.5 | 48 | |||
36.23 | even | 6 | 1440.2.cc.b.1391.3 | 48 | |||
36.31 | odd | 6 | 4320.2.cc.a.3311.12 | 48 | |||
72.5 | odd | 6 | 1440.2.cc.a.1391.3 | 48 | |||
72.13 | even | 6 | 4320.2.cc.b.3311.13 | 48 | |||
72.59 | even | 6 | inner | 360.2.bm.a.131.11 | yes | 48 | |
72.67 | odd | 6 | 1080.2.bm.b.611.14 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bm.a.11.11 | ✓ | 48 | 1.1 | even | 1 | trivial | |
360.2.bm.a.131.11 | yes | 48 | 72.59 | even | 6 | inner | |
360.2.bm.b.11.20 | yes | 48 | 8.3 | odd | 2 | ||
360.2.bm.b.131.20 | yes | 48 | 9.5 | odd | 6 | ||
1080.2.bm.a.251.5 | 48 | 24.11 | even | 2 | |||
1080.2.bm.a.611.5 | 48 | 9.4 | even | 3 | |||
1080.2.bm.b.251.14 | 48 | 3.2 | odd | 2 | |||
1080.2.bm.b.611.14 | 48 | 72.67 | odd | 6 | |||
1440.2.cc.a.911.3 | 48 | 4.3 | odd | 2 | |||
1440.2.cc.a.1391.3 | 48 | 72.5 | odd | 6 | |||
1440.2.cc.b.911.3 | 48 | 8.5 | even | 2 | |||
1440.2.cc.b.1391.3 | 48 | 36.23 | even | 6 | |||
4320.2.cc.a.1871.12 | 48 | 24.5 | odd | 2 | |||
4320.2.cc.a.3311.12 | 48 | 36.31 | odd | 6 | |||
4320.2.cc.b.1871.13 | 48 | 12.11 | even | 2 | |||
4320.2.cc.b.3311.13 | 48 | 72.13 | even | 6 |