Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 175.3 |
Dual form | 175.2.x.a.117.2 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20294 | + | 1.85237i | −0.850610 | + | 1.30982i | 0.0985822 | + | 0.995129i | \(0.468569\pi\) |
−0.949192 | + | 0.314696i | \(0.898097\pi\) | |||||||
\(3\) | 0.944233 | − | 2.45981i | 0.545153 | − | 1.42017i | −0.333517 | − | 0.942744i | \(-0.608236\pi\) |
0.878670 | − | 0.477429i | \(-0.158431\pi\) | |||||||
\(4\) | −1.17073 | − | 2.62951i | −0.585367 | − | 1.31476i | ||||
\(5\) | −1.77209 | − | 1.36371i | −0.792503 | − | 0.609868i | ||||
\(6\) | 3.42063 | + | 4.70809i | 1.39646 | + | 1.92207i | ||||
\(7\) | −2.43764 | + | 1.02854i | −0.921342 | + | 0.388753i | ||||
\(8\) | 1.91615 | + | 0.303488i | 0.677460 | + | 0.107299i | ||||
\(9\) | −2.92966 | − | 2.63788i | −0.976554 | − | 0.879293i | ||||
\(10\) | 4.65782 | − | 1.64211i | 1.47293 | − | 0.519280i | ||||
\(11\) | −2.95727 | − | 3.28438i | −0.891651 | − | 0.990279i | 0.108341 | − | 0.994114i | \(-0.465446\pi\) |
−0.999993 | + | 0.00383465i | \(0.998779\pi\) | |||||||
\(12\) | −7.57355 | + | 0.396913i | −2.18629 | + | 0.114579i | ||||
\(13\) | −1.80815 | − | 0.921296i | −0.501489 | − | 0.255522i | 0.184898 | − | 0.982758i | \(-0.440805\pi\) |
−0.686387 | + | 0.727236i | \(0.740805\pi\) | |||||||
\(14\) | 1.02710 | − | 5.75270i | 0.274504 | − | 1.53747i | ||||
\(15\) | −5.02773 | + | 3.07135i | −1.29815 | + | 0.793020i | ||||
\(16\) | 0.984806 | − | 1.09374i | 0.246202 | − | 0.273434i | ||||
\(17\) | 0.287911 | − | 0.355540i | 0.0698286 | − | 0.0862311i | −0.741035 | − | 0.671467i | \(-0.765665\pi\) |
0.810863 | + | 0.585236i | \(0.198998\pi\) | |||||||
\(18\) | 8.41056 | − | 2.25360i | 1.98239 | − | 0.531179i | ||||
\(19\) | 6.57645 | + | 2.92802i | 1.50874 | + | 0.671734i | 0.983778 | − | 0.179391i | \(-0.0574127\pi\) |
0.524962 | + | 0.851125i | \(0.324079\pi\) | |||||||
\(20\) | −1.51123 | + | 6.25627i | −0.337922 | + | 1.39894i | ||||
\(21\) | 0.228322 | + | 6.96732i | 0.0498240 | + | 1.52039i | ||||
\(22\) | 9.64134 | − | 1.52704i | 2.05554 | − | 0.325566i | ||||
\(23\) | −3.43862 | − | 2.23307i | −0.717002 | − | 0.465627i | 0.133870 | − | 0.990999i | \(-0.457259\pi\) |
−0.850873 | + | 0.525372i | \(0.823926\pi\) | |||||||
\(24\) | 2.55581 | − | 4.42679i | 0.521703 | − | 0.903616i | ||||
\(25\) | 1.28061 | + | 4.83322i | 0.256122 | + | 0.966644i | ||||
\(26\) | 3.88168 | − | 2.24109i | 0.761261 | − | 0.439514i | ||||
\(27\) | −2.21206 | + | 1.12710i | −0.425711 | + | 0.216911i | ||||
\(28\) | 5.55840 | + | 5.20565i | 1.05044 | + | 0.983776i | ||||
\(29\) | 4.82859 | − | 6.64598i | 0.896646 | − | 1.23413i | −0.0748793 | − | 0.997193i | \(-0.523857\pi\) |
0.971525 | − | 0.236935i | \(-0.0761429\pi\) | |||||||
\(30\) | 0.358789 | − | 13.0079i | 0.0655055 | − | 2.37490i | ||||
\(31\) | 0.854113 | − | 0.0897709i | 0.153403 | − | 0.0161233i | −0.0275155 | − | 0.999621i | \(-0.508760\pi\) |
0.180919 | + | 0.983498i | \(0.442093\pi\) | |||||||
\(32\) | 1.84558 | + | 6.88779i | 0.326255 | + | 1.21760i | ||||
\(33\) | −10.8713 | + | 4.17311i | −1.89245 | + | 0.726445i | ||||
\(34\) | 0.312252 | + | 0.961013i | 0.0535508 | + | 0.164812i | ||||
\(35\) | 5.72235 | + | 1.50155i | 0.967254 | + | 0.253809i | ||||
\(36\) | −3.50648 | + | 10.7918i | −0.584413 | + | 1.79864i | ||||
\(37\) | −0.324636 | − | 6.19442i | −0.0533698 | − | 1.01836i | −0.885753 | − | 0.464157i | \(-0.846357\pi\) |
0.832383 | − | 0.554200i | \(-0.186976\pi\) | |||||||
\(38\) | −13.3349 | + | 8.65978i | −2.16320 | + | 1.40480i | ||||
\(39\) | −3.97353 | + | 3.57778i | −0.636273 | + | 0.572903i | ||||
\(40\) | −2.98172 | − | 3.15087i | −0.471451 | − | 0.498196i | ||||
\(41\) | −0.382586 | + | 0.124310i | −0.0597500 | + | 0.0194139i | −0.338739 | − | 0.940880i | \(-0.610001\pi\) |
0.278990 | + | 0.960294i | \(0.410001\pi\) | |||||||
\(42\) | −13.1807 | − | 7.95837i | −2.03383 | − | 1.22800i | ||||
\(43\) | −1.61939 | − | 1.61939i | −0.246954 | − | 0.246954i | 0.572765 | − | 0.819719i | \(-0.305871\pi\) |
−0.819719 | + | 0.572765i | \(0.805871\pi\) | |||||||
\(44\) | −5.17415 | + | 11.6213i | −0.780032 | + | 1.75198i | ||||
\(45\) | 1.59433 | + | 8.66976i | 0.237669 | + | 1.29241i | ||||
\(46\) | 8.27295 | − | 3.68335i | 1.21978 | − | 0.543081i | ||||
\(47\) | −6.81328 | + | 5.51729i | −0.993819 | + | 0.804779i | −0.980776 | − | 0.195136i | \(-0.937485\pi\) |
−0.0130433 | + | 0.999915i | \(0.504152\pi\) | |||||||
\(48\) | −1.76050 | − | 3.45518i | −0.254107 | − | 0.498712i | ||||
\(49\) | 4.88419 | − | 5.01444i | 0.697742 | − | 0.716349i | ||||
\(50\) | −10.4934 | − | 3.44193i | −1.48400 | − | 0.486762i | ||||
\(51\) | −0.602707 | − | 1.04392i | −0.0843958 | − | 0.146178i | ||||
\(52\) | −0.305702 | + | 5.83313i | −0.0423932 | + | 0.808910i | ||||
\(53\) | −0.177934 | − | 0.0683026i | −0.0244411 | − | 0.00938208i | 0.346117 | − | 0.938191i | \(-0.387500\pi\) |
−0.370558 | + | 0.928809i | \(0.620833\pi\) | |||||||
\(54\) | 0.573175 | − | 5.45340i | 0.0779992 | − | 0.742113i | ||||
\(55\) | 0.761621 | + | 9.85308i | 0.102697 | + | 1.32859i | ||||
\(56\) | −4.98303 | + | 1.23105i | −0.665885 | + | 0.164505i | ||||
\(57\) | 13.4121 | − | 13.4121i | 1.77647 | − | 1.77647i | ||||
\(58\) | 6.50231 | + | 16.9391i | 0.853795 | + | 2.22421i | ||||
\(59\) | −3.35832 | − | 0.713834i | −0.437216 | − | 0.0929332i | −0.0159555 | − | 0.999873i | \(-0.505079\pi\) |
−0.421261 | + | 0.906939i | \(0.638412\pi\) | |||||||
\(60\) | 13.9623 | + | 9.62473i | 1.80252 | + | 1.24255i | ||||
\(61\) | 0.248586 | + | 1.16950i | 0.0318281 | + | 0.149740i | 0.991192 | − | 0.132432i | \(-0.0422786\pi\) |
−0.959364 | + | 0.282172i | \(0.908945\pi\) | |||||||
\(62\) | −0.861162 | + | 1.69013i | −0.109368 | + | 0.214646i | ||||
\(63\) | 9.85464 | + | 3.41692i | 1.24157 | + | 0.430491i | ||||
\(64\) | −12.1794 | − | 3.95733i | −1.52242 | − | 0.494666i | ||||
\(65\) | 1.94782 | + | 4.09840i | 0.241597 | + | 0.508344i | ||||
\(66\) | 5.34745 | − | 25.1578i | 0.658225 | − | 3.09671i | ||||
\(67\) | −3.33658 | − | 2.70191i | −0.407628 | − | 0.330090i | 0.403479 | − | 0.914989i | \(-0.367801\pi\) |
−0.811106 | + | 0.584899i | \(0.801134\pi\) | |||||||
\(68\) | −1.27196 | − | 0.340822i | −0.154248 | − | 0.0413307i | ||||
\(69\) | −8.73979 | + | 6.34983i | −1.05215 | + | 0.764429i | ||||
\(70\) | −9.66511 | + | 8.79364i | −1.15520 | + | 1.05104i | ||||
\(71\) | 0.544222 | + | 0.395400i | 0.0645873 | + | 0.0469254i | 0.619610 | − | 0.784910i | \(-0.287291\pi\) |
−0.555023 | + | 0.831835i | \(0.687291\pi\) | |||||||
\(72\) | −4.81310 | − | 5.94368i | −0.567229 | − | 0.700469i | ||||
\(73\) | 16.9363 | + | 0.887594i | 1.98224 | + | 0.103885i | 0.997528 | − | 0.0702756i | \(-0.0223879\pi\) |
0.984717 | + | 0.174161i | \(0.0557212\pi\) | |||||||
\(74\) | 11.8649 | + | 6.85020i | 1.37927 | + | 0.796320i | ||||
\(75\) | 13.0980 | + | 1.41363i | 1.51243 | + | 0.163232i | ||||
\(76\) | − | 20.7208i | − | 2.37684i | ||||||
\(77\) | 10.5869 | + | 4.96447i | 1.20649 | + | 0.565753i | ||||
\(78\) | −1.84745 | − | 11.6643i | −0.209182 | − | 1.32072i | ||||
\(79\) | −13.8846 | − | 1.45933i | −1.56214 | − | 0.164187i | −0.716362 | − | 0.697729i | \(-0.754194\pi\) |
−0.845774 | + | 0.533542i | \(0.820861\pi\) | |||||||
\(80\) | −3.23670 | + | 0.595217i | −0.361874 | + | 0.0665473i | ||||
\(81\) | −0.552477 | − | 5.25647i | −0.0613863 | − | 0.584052i | ||||
\(82\) | 0.229962 | − | 0.858230i | 0.0253951 | − | 0.0947757i | ||||
\(83\) | 0.785870 | − | 4.96179i | 0.0862605 | − | 0.544627i | −0.906277 | − | 0.422685i | \(-0.861088\pi\) |
0.992537 | − | 0.121942i | \(-0.0389123\pi\) | |||||||
\(84\) | 18.0534 | − | 8.75726i | 1.96978 | − | 0.955495i | ||||
\(85\) | −0.995056 | + | 0.237424i | −0.107929 | + | 0.0257522i | ||||
\(86\) | 4.94774 | − | 1.05167i | 0.533528 | − | 0.113405i | ||||
\(87\) | −11.7885 | − | 18.1528i | −1.26386 | − | 1.94618i | ||||
\(88\) | −4.66980 | − | 7.19086i | −0.497802 | − | 0.766548i | ||||
\(89\) | 0.0678256 | − | 0.0144168i | 0.00718950 | − | 0.00152818i | −0.204316 | − | 0.978905i | \(-0.565497\pi\) |
0.211505 | + | 0.977377i | \(0.432164\pi\) | |||||||
\(90\) | −17.9775 | − | 7.47594i | −1.89500 | − | 0.788033i | ||||
\(91\) | 5.35521 | + | 0.386033i | 0.561378 | + | 0.0404672i | ||||
\(92\) | −1.84616 | + | 11.6562i | −0.192476 | + | 1.21525i | ||||
\(93\) | 0.585663 | − | 2.18572i | 0.0607304 | − | 0.226649i | ||||
\(94\) | −2.02407 | − | 19.2577i | −0.208767 | − | 1.98628i | ||||
\(95\) | −7.66110 | − | 14.1571i | −0.786012 | − | 1.45248i | ||||
\(96\) | 18.6853 | + | 1.96391i | 1.90706 | + | 0.200440i | ||||
\(97\) | −0.650222 | − | 4.10534i | −0.0660200 | − | 0.416834i | −0.998458 | − | 0.0555051i | \(-0.982323\pi\) |
0.932438 | − | 0.361329i | \(-0.117677\pi\) | |||||||
\(98\) | 3.41320 | + | 15.0794i | 0.344785 | + | 1.52325i | ||||
\(99\) | 17.4231i | 1.75108i | ||||||||
\(100\) | 11.2098 | − | 9.02580i | 1.12098 | − | 0.902580i | ||||
\(101\) | 0.945816 | + | 0.546067i | 0.0941122 | + | 0.0543357i | 0.546317 | − | 0.837578i | \(-0.316029\pi\) |
−0.452205 | + | 0.891914i | \(0.649363\pi\) | |||||||
\(102\) | 2.65875 | + | 0.139339i | 0.263255 | + | 0.0137966i | ||||
\(103\) | 1.39663 | + | 1.72470i | 0.137614 | + | 0.169939i | 0.841294 | − | 0.540578i | \(-0.181794\pi\) |
−0.703680 | + | 0.710517i | \(0.748461\pi\) | |||||||
\(104\) | −3.18507 | − | 2.31409i | −0.312322 | − | 0.226915i | ||||
\(105\) | 9.09678 | − | 12.6581i | 0.887754 | − | 1.23530i | ||||
\(106\) | 0.340567 | − | 0.247436i | 0.0330788 | − | 0.0240331i | ||||
\(107\) | 12.8764 | + | 3.45022i | 1.24481 | + | 0.333545i | 0.820328 | − | 0.571893i | \(-0.193791\pi\) |
0.424479 | + | 0.905438i | \(0.360457\pi\) | |||||||
\(108\) | 5.55346 | + | 4.49710i | 0.534381 | + | 0.432734i | ||||
\(109\) | −3.23006 | + | 15.1962i | −0.309383 | + | 1.45553i | 0.498859 | + | 0.866683i | \(0.333753\pi\) |
−0.808242 | + | 0.588850i | \(0.799581\pi\) | |||||||
\(110\) | −19.1678 | − | 10.4419i | −1.82757 | − | 0.995596i | ||||
\(111\) | −15.5436 | − | 5.05044i | −1.47534 | − | 0.479366i | ||||
\(112\) | −1.27565 | + | 3.67906i | −0.120537 | + | 0.347638i | ||||
\(113\) | −3.35748 | + | 6.58942i | −0.315845 | + | 0.619880i | −0.993284 | − | 0.115698i | \(-0.963090\pi\) |
0.677440 | + | 0.735578i | \(0.263090\pi\) | |||||||
\(114\) | 8.71018 | + | 40.9782i | 0.815783 | + | 3.83796i | ||||
\(115\) | 3.04830 | + | 8.64647i | 0.284256 | + | 0.806288i | ||||
\(116\) | −23.1287 | − | 4.91615i | −2.14744 | − | 0.456453i | ||||
\(117\) | 2.86699 | + | 7.46876i | 0.265053 | + | 0.690487i | ||||
\(118\) | 5.36216 | − | 5.36216i | 0.493627 | − | 0.493627i | ||||
\(119\) | −0.336134 | + | 1.16281i | −0.0308134 | + | 0.106594i | ||||
\(120\) | −10.5660 | + | 4.35931i | −0.964537 | + | 0.397948i | ||||
\(121\) | −0.891904 | + | 8.48590i | −0.0810822 | + | 0.771445i | ||||
\(122\) | −2.46539 | − | 0.946375i | −0.223206 | − | 0.0856808i | ||||
\(123\) | −0.0554720 | + | 1.05847i | −0.00500174 | + | 0.0954388i | ||||
\(124\) | −1.23599 | − | 2.14080i | −0.110995 | − | 0.192250i | ||||
\(125\) | 4.32174 | − | 10.3113i | 0.386548 | − | 0.922269i | ||||
\(126\) | −18.1840 | + | 14.1441i | −1.61996 | + | 1.26006i | ||||
\(127\) | −7.99013 | − | 15.6815i | −0.709009 | − | 1.39151i | −0.911118 | − | 0.412146i | \(-0.864780\pi\) |
0.202109 | − | 0.979363i | \(-0.435220\pi\) | |||||||
\(128\) | 10.8983 | − | 8.82527i | 0.963282 | − | 0.780051i | ||||
\(129\) | −5.51246 | + | 2.45431i | −0.485345 | + | 0.216090i | ||||
\(130\) | −9.93488 | − | 1.32206i | −0.871347 | − | 0.115952i | ||||
\(131\) | −0.0598499 | + | 0.134425i | −0.00522911 | + | 0.0117448i | −0.916141 | − | 0.400856i | \(-0.868713\pi\) |
0.910912 | + | 0.412601i | \(0.135379\pi\) | |||||||
\(132\) | 23.7007 | + | 23.7007i | 2.06288 | + | 2.06288i | ||||
\(133\) | −19.0426 | − | 0.373305i | −1.65120 | − | 0.0323696i | ||||
\(134\) | 9.01865 | − | 2.93034i | 0.779093 | − | 0.253143i | ||||
\(135\) | 5.45700 | + | 1.01927i | 0.469664 | + | 0.0877252i | ||||
\(136\) | 0.659581 | − | 0.593889i | 0.0565586 | − | 0.0509256i | ||||
\(137\) | 11.8773 | − | 7.71319i | 1.01474 | − | 0.658982i | 0.0737042 | − | 0.997280i | \(-0.476518\pi\) |
0.941039 | + | 0.338298i | \(0.109851\pi\) | |||||||
\(138\) | −1.24876 | − | 23.8278i | −0.106302 | − | 2.02836i | ||||
\(139\) | 4.99346 | − | 15.3683i | 0.423539 | − | 1.30352i | −0.480846 | − | 0.876805i | \(-0.659671\pi\) |
0.904386 | − | 0.426716i | \(-0.140329\pi\) | |||||||
\(140\) | −2.75100 | − | 16.8049i | −0.232502 | − | 1.42027i | ||||
\(141\) | 7.13816 | + | 21.9690i | 0.601142 | + | 1.85012i | ||||
\(142\) | −1.38710 | + | 0.532457i | −0.116403 | + | 0.0446828i | ||||
\(143\) | 2.32129 | + | 8.66317i | 0.194116 | + | 0.724451i | ||||
\(144\) | −5.77030 | + | 0.606483i | −0.480858 | + | 0.0505402i | ||||
\(145\) | −17.6199 | + | 5.19251i | −1.46325 | + | 0.431214i | ||||
\(146\) | −22.0176 | + | 30.3046i | −1.82219 | + | 2.50803i | ||||
\(147\) | −7.72277 | − | 16.7490i | −0.636963 | − | 1.38143i | ||||
\(148\) | −15.9082 | + | 8.10566i | −1.30765 | + | 0.666281i | ||||
\(149\) | −4.31194 | + | 2.48950i | −0.353248 | + | 0.203948i | −0.666115 | − | 0.745849i | \(-0.732044\pi\) |
0.312867 | + | 0.949797i | \(0.398711\pi\) | |||||||
\(150\) | −18.3747 | + | 22.5619i | −1.50029 | + | 1.84217i | ||||
\(151\) | −1.69473 | + | 2.93535i | −0.137915 | + | 0.238876i | −0.926707 | − | 0.375784i | \(-0.877373\pi\) |
0.788792 | + | 0.614660i | \(0.210707\pi\) | |||||||
\(152\) | 11.7128 | + | 7.60639i | 0.950035 | + | 0.616960i | ||||
\(153\) | −1.78135 | + | 0.282139i | −0.144014 | + | 0.0228096i | ||||
\(154\) | −21.9315 | + | 13.6389i | −1.76729 | + | 1.09905i | ||||
\(155\) | −1.63599 | − | 1.00568i | −0.131406 | − | 0.0807780i | ||||
\(156\) | 14.0598 | + | 6.25980i | 1.12568 | + | 0.501186i | ||||
\(157\) | 12.3952 | − | 3.32127i | 0.989242 | − | 0.265067i | 0.272310 | − | 0.962210i | \(-0.412212\pi\) |
0.716932 | + | 0.697143i | \(0.245546\pi\) | |||||||
\(158\) | 19.4056 | − | 23.9639i | 1.54382 | − | 1.90647i | ||||
\(159\) | −0.336023 | + | 0.373191i | −0.0266483 | + | 0.0295960i | ||||
\(160\) | 6.12239 | − | 14.7226i | 0.484017 | − | 1.16392i | ||||
\(161\) | 10.6789 | + | 1.90664i | 0.841618 | + | 0.150265i | ||||
\(162\) | 10.4015 | + | 5.29984i | 0.817221 | + | 0.416395i | ||||
\(163\) | −12.7731 | + | 0.669409i | −1.00047 | + | 0.0524322i | −0.545529 | − | 0.838092i | \(-0.683671\pi\) |
−0.454936 | + | 0.890524i | \(0.650338\pi\) | |||||||
\(164\) | 0.774781 | + | 0.860482i | 0.0605002 | + | 0.0671923i | ||||
\(165\) | 24.9559 | + | 7.43016i | 1.94281 | + | 0.578437i | ||||
\(166\) | 8.24572 | + | 7.42448i | 0.639992 | + | 0.576252i | ||||
\(167\) | 2.96449 | + | 0.469529i | 0.229399 | + | 0.0363333i | 0.270076 | − | 0.962839i | \(-0.412951\pi\) |
−0.0406764 | + | 0.999172i | \(0.512951\pi\) | |||||||
\(168\) | −1.67700 | + | 13.4197i | −0.129383 | + | 1.03535i | ||||
\(169\) | −5.22060 | − | 7.18555i | −0.401585 | − | 0.552734i | ||||
\(170\) | 0.757200 | − | 2.12882i | 0.0580746 | − | 0.163273i | ||||
\(171\) | −11.5430 | − | 25.9260i | −0.882715 | − | 1.98261i | ||||
\(172\) | −2.36232 | + | 6.15406i | −0.180126 | + | 0.469243i | ||||
\(173\) | 13.0201 | − | 20.0492i | 0.989900 | − | 1.52431i | 0.144971 | − | 0.989436i | \(-0.453691\pi\) |
0.844930 | − | 0.534877i | \(-0.179642\pi\) | |||||||
\(174\) | 47.8067 | 3.62421 | ||||||||
\(175\) | −8.09285 | − | 10.4645i | −0.611762 | − | 0.791042i | ||||
\(176\) | −6.50460 | −0.490302 | ||||||||
\(177\) | −4.92694 | + | 7.58682i | −0.370331 | + | 0.570260i | ||||
\(178\) | −0.0548852 | + | 0.142981i | −0.00411382 | + | 0.0107169i | ||||
\(179\) | −3.16816 | − | 7.11581i | −0.236800 | − | 0.531861i | 0.755583 | − | 0.655053i | \(-0.227354\pi\) |
−0.992383 | + | 0.123192i | \(0.960687\pi\) | |||||||
\(180\) | 20.9307 | − | 14.3423i | 1.56008 | − | 1.06901i | ||||
\(181\) | 4.21567 | + | 5.80237i | 0.313348 | + | 0.431287i | 0.936422 | − | 0.350877i | \(-0.114116\pi\) |
−0.623074 | + | 0.782163i | \(0.714116\pi\) | |||||||
\(182\) | −7.15709 | + | 9.45546i | −0.530519 | + | 0.700885i | ||||
\(183\) | 3.11148 | + | 0.492810i | 0.230007 | + | 0.0364296i | ||||
\(184\) | −5.91119 | − | 5.32246i | −0.435779 | − | 0.392377i | ||||
\(185\) | −7.87209 | + | 11.4198i | −0.578768 | + | 0.839600i | ||||
\(186\) | 3.34425 | + | 3.71417i | 0.245212 | + | 0.272336i | ||||
\(187\) | −2.01916 | + | 0.105820i | −0.147656 | + | 0.00773830i | ||||
\(188\) | 22.4843 | + | 11.4563i | 1.63984 | + | 0.835539i | ||||
\(189\) | 4.23293 | − | 5.02267i | 0.307901 | − | 0.365345i | ||||
\(190\) | 35.4400 | + | 2.83896i | 2.57109 | + | 0.205960i | ||||
\(191\) | 3.79578 | − | 4.21564i | 0.274653 | − | 0.305033i | −0.590000 | − | 0.807404i | \(-0.700872\pi\) |
0.864652 | + | 0.502371i | \(0.167539\pi\) | |||||||
\(192\) | −21.2345 | + | 26.2224i | −1.53247 | + | 1.89244i | ||||
\(193\) | 2.88177 | − | 0.772169i | 0.207435 | − | 0.0555819i | −0.153605 | − | 0.988132i | \(-0.549088\pi\) |
0.361040 | + | 0.932550i | \(0.382422\pi\) | |||||||
\(194\) | 8.38680 | + | 3.73404i | 0.602137 | + | 0.268089i | ||||
\(195\) | 11.9205 | − | 0.921427i | 0.853644 | − | 0.0659848i | ||||
\(196\) | −18.9036 | − | 6.97246i | −1.35026 | − | 0.498033i | ||||
\(197\) | 4.91053 | − | 0.777752i | 0.349861 | − | 0.0554125i | 0.0209692 | − | 0.999780i | \(-0.493325\pi\) |
0.328892 | + | 0.944368i | \(0.393325\pi\) | |||||||
\(198\) | −32.2740 | − | 20.9590i | −2.29361 | − | 1.48949i | ||||
\(199\) | 5.51403 | − | 9.55057i | 0.390879 | − | 0.677022i | −0.601687 | − | 0.798732i | \(-0.705504\pi\) |
0.992566 | + | 0.121710i | \(0.0388378\pi\) | |||||||
\(200\) | 0.987014 | + | 9.64981i | 0.0697924 | + | 0.682344i | ||||
\(201\) | −9.79668 | + | 5.65612i | −0.691005 | + | 0.398952i | ||||
\(202\) | −2.14928 | + | 1.09511i | −0.151223 | + | 0.0770520i | ||||
\(203\) | −4.93468 | + | 21.1669i | −0.346347 | + | 1.48563i | ||||
\(204\) | −2.03939 | + | 2.80698i | −0.142786 | + | 0.196528i | ||||
\(205\) | 0.847500 | + | 0.301447i | 0.0591920 | + | 0.0210540i | ||||
\(206\) | −4.87485 | + | 0.512368i | −0.339647 | + | 0.0356983i | ||||
\(207\) | 4.18344 | + | 15.6128i | 0.290769 | + | 1.08517i | ||||
\(208\) | −2.78833 | + | 1.07034i | −0.193336 | + | 0.0742147i | ||||
\(209\) | −9.83160 | − | 30.2585i | −0.680066 | − | 2.09303i | ||||
\(210\) | 12.5046 | + | 32.0776i | 0.862899 | + | 2.21356i | ||||
\(211\) | 4.10913 | − | 12.6466i | 0.282884 | − | 0.870628i | −0.704141 | − | 0.710060i | \(-0.748668\pi\) |
0.987025 | − | 0.160567i | \(-0.0513324\pi\) | |||||||
\(212\) | 0.0287113 | + | 0.547844i | 0.00197190 | + | 0.0376261i | ||||
\(213\) | 1.48648 | − | 0.965333i | 0.101852 | − | 0.0661435i | ||||
\(214\) | −21.8807 | + | 19.7014i | −1.49573 | + | 1.34676i | ||||
\(215\) | 0.661332 | + | 5.07807i | 0.0451025 | + | 0.346321i | ||||
\(216\) | −4.58069 | + | 1.48836i | −0.311676 | + | 0.101270i | ||||
\(217\) | −1.98969 | + | 1.09732i | −0.135069 | + | 0.0744911i | ||||
\(218\) | −24.2635 | − | 24.2635i | −1.64333 | − | 1.64333i | ||||
\(219\) | 18.1751 | − | 40.8220i | 1.22816 | − | 2.75850i | ||||
\(220\) | 25.0171 | − | 13.5380i | 1.68665 | − | 0.912733i | ||||
\(221\) | −0.848142 | + | 0.377617i | −0.0570522 | + | 0.0254013i | ||||
\(222\) | 28.0534 | − | 22.7172i | 1.88282 | − | 1.52468i | ||||
\(223\) | 7.91299 | + | 15.5301i | 0.529893 | + | 1.03997i | 0.988484 | + | 0.151326i | \(0.0483545\pi\) |
−0.458591 | + | 0.888648i | \(0.651646\pi\) | |||||||
\(224\) | −11.5832 | − | 14.8917i | −0.773938 | − | 0.994993i | ||||
\(225\) | 8.99770 | − | 17.5378i | 0.599847 | − | 1.16919i | ||||
\(226\) | −8.16720 | − | 14.1460i | −0.543274 | − | 0.940978i | ||||
\(227\) | −1.08654 | + | 20.7324i | −0.0721161 | + | 1.37606i | 0.687736 | + | 0.725961i | \(0.258605\pi\) |
−0.759852 | + | 0.650096i | \(0.774729\pi\) | |||||||
\(228\) | −50.9692 | − | 19.5652i | −3.37552 | − | 1.29574i | ||||
\(229\) | −1.69219 | + | 16.1001i | −0.111823 | + | 1.06392i | 0.784381 | + | 0.620279i | \(0.212981\pi\) |
−0.896204 | + | 0.443643i | \(0.853686\pi\) | |||||||
\(230\) | −19.6834 | − | 4.75463i | −1.29789 | − | 0.313511i | ||||
\(231\) | 22.2082 | − | 21.3542i | 1.46119 | − | 1.40500i | ||||
\(232\) | 11.2693 | − | 11.2693i | 0.739863 | − | 0.739863i | ||||
\(233\) | 3.09176 | + | 8.05430i | 0.202548 | + | 0.527655i | 0.996800 | − | 0.0799329i | \(-0.0254706\pi\) |
−0.794253 | + | 0.607588i | \(0.792137\pi\) | |||||||
\(234\) | −17.2837 | − | 3.67377i | −1.12987 | − | 0.240162i | ||||
\(235\) | 19.5977 | − | 0.485819i | 1.27841 | − | 0.0316913i | ||||
\(236\) | 2.05467 | + | 9.66646i | 0.133748 | + | 0.629233i | ||||
\(237\) | −16.6999 | + | 32.7755i | −1.08478 | + | 2.12900i | ||||
\(238\) | −1.74960 | − | 2.02144i | −0.113410 | − | 0.131030i | ||||
\(239\) | −2.88402 | − | 0.937075i | −0.186552 | − | 0.0606144i | 0.214251 | − | 0.976779i | \(-0.431269\pi\) |
−0.400803 | + | 0.916164i | \(0.631269\pi\) | |||||||
\(240\) | −1.59208 | + | 8.52370i | −0.102768 | + | 0.550203i | ||||
\(241\) | −4.73760 | + | 22.2887i | −0.305176 | + | 1.43574i | 0.511818 | + | 0.859094i | \(0.328972\pi\) |
−0.816994 | + | 0.576646i | \(0.804361\pi\) | |||||||
\(242\) | −14.6461 | − | 11.8602i | −0.941489 | − | 0.762403i | ||||
\(243\) | −20.6458 | − | 5.53201i | −1.32443 | − | 0.354879i | ||||
\(244\) | 2.78420 | − | 2.02284i | 0.178240 | − | 0.129499i | ||||
\(245\) | −15.4935 | + | 2.22544i | −0.989841 | + | 0.142178i | ||||
\(246\) | −1.89395 | − | 1.37603i | −0.120754 | − | 0.0877327i | ||||
\(247\) | −9.19360 | − | 11.3531i | −0.584975 | − | 0.722383i | ||||
\(248\) | 1.66385 | + | 0.0871987i | 0.105655 | + | 0.00553712i | ||||
\(249\) | −11.4630 | − | 6.61818i | −0.726440 | − | 0.419410i | ||||
\(250\) | 13.9015 | + | 20.4094i | 0.879210 | + | 1.29080i | ||||
\(251\) | 27.3670i | 1.72739i | 0.504015 | + | 0.863695i | \(0.331856\pi\) | ||||
−0.504015 | + | 0.863695i | \(0.668144\pi\) | |||||||
\(252\) | −2.55234 | − | 29.9132i | −0.160782 | − | 1.88435i | ||||
\(253\) | 2.83469 | + | 17.8976i | 0.178216 | + | 1.12521i | ||||
\(254\) | 38.6597 | + | 4.06329i | 2.42572 | + | 0.254954i | ||||
\(255\) | −0.355547 | + | 2.67183i | −0.0222652 | + | 0.167317i | ||||
\(256\) | 0.560412 | + | 5.33196i | 0.0350257 | + | 0.333248i | ||||
\(257\) | −0.397150 | + | 1.48219i | −0.0247736 | + | 0.0924562i | −0.977206 | − | 0.212294i | \(-0.931906\pi\) |
0.952432 | + | 0.304751i | \(0.0985731\pi\) | |||||||
\(258\) | 2.08490 | − | 13.1635i | 0.129800 | − | 0.819526i | ||||
\(259\) | 7.16258 | + | 14.7659i | 0.445061 | + | 0.917507i | ||||
\(260\) | 8.49641 | − | 9.91995i | 0.526925 | − | 0.615209i | ||||
\(261\) | −31.6774 | + | 6.73324i | −1.96078 | + | 0.416777i | ||||
\(262\) | −0.177009 | − | 0.272570i | −0.0109357 | − | 0.0168395i | ||||
\(263\) | −0.833499 | − | 1.28348i | −0.0513958 | − | 0.0791426i | 0.812039 | − | 0.583604i | \(-0.198358\pi\) |
−0.863434 | + | 0.504461i | \(0.831691\pi\) | |||||||
\(264\) | −22.0975 | + | 4.69697i | −1.36001 | + | 0.289079i | ||||
\(265\) | 0.222171 | + | 0.363688i | 0.0136479 | + | 0.0223412i | ||||
\(266\) | 23.5987 | − | 34.8250i | 1.44693 | − | 2.13526i | ||||
\(267\) | 0.0285806 | − | 0.180451i | 0.00174911 | − | 0.0110434i | ||||
\(268\) | −3.19845 | + | 11.9368i | −0.195376 | + | 0.729155i | ||||
\(269\) | 2.55467 | + | 24.3061i | 0.155761 | + | 1.48197i | 0.741218 | + | 0.671264i | \(0.234248\pi\) |
−0.585457 | + | 0.810703i | \(0.699085\pi\) | |||||||
\(270\) | −8.45255 | + | 8.88227i | −0.514406 | + | 0.540558i | ||||
\(271\) | −16.6332 | − | 1.74822i | −1.01039 | − | 0.106197i | −0.415159 | − | 0.909749i | \(-0.636274\pi\) |
−0.595234 | + | 0.803553i | \(0.702941\pi\) | |||||||
\(272\) | −0.105331 | − | 0.665037i | −0.00638666 | − | 0.0403238i | ||||
\(273\) | 6.00613 | − | 12.8083i | 0.363508 | − | 0.775193i | ||||
\(274\) | 31.2796i | 1.88967i | ||||||||
\(275\) | 12.0870 | − | 18.4992i | 0.728876 | − | 1.11554i | ||||
\(276\) | 26.9289 | + | 15.5474i | 1.62093 | + | 0.935844i | ||||
\(277\) | 21.0602 | + | 1.10372i | 1.26538 | + | 0.0663159i | 0.673183 | − | 0.739476i | \(-0.264927\pi\) |
0.592199 | + | 0.805792i | \(0.298260\pi\) | |||||||
\(278\) | 22.4609 | + | 27.7369i | 1.34712 | + | 1.66355i | ||||
\(279\) | −2.73907 | − | 1.99005i | −0.163984 | − | 0.119141i | ||||
\(280\) | 10.5092 | + | 4.61386i | 0.628043 | + | 0.275731i | ||||
\(281\) | 6.80713 | − | 4.94567i | 0.406079 | − | 0.295034i | −0.365933 | − | 0.930641i | \(-0.619250\pi\) |
0.772013 | + | 0.635607i | \(0.219250\pi\) | |||||||
\(282\) | −49.2816 | − | 13.2050i | −2.93468 | − | 0.786344i | ||||
\(283\) | 2.58464 | + | 2.09300i | 0.153641 | + | 0.124416i | 0.703059 | − | 0.711132i | \(-0.251817\pi\) |
−0.549418 | + | 0.835548i | \(0.685150\pi\) | |||||||
\(284\) | 0.402571 | − | 1.89395i | 0.0238882 | − | 0.112385i | ||||
\(285\) | −42.0576 | + | 5.47729i | −2.49128 | + | 0.324447i | ||||
\(286\) | −18.8398 | − | 6.12142i | −1.11402 | − | 0.361967i | ||||
\(287\) | 0.804750 | − | 0.696530i | 0.0475029 | − | 0.0411149i | ||||
\(288\) | 12.7622 | − | 25.0473i | 0.752022 | − | 1.47593i | ||||
\(289\) | 3.49098 | + | 16.4238i | 0.205352 | + | 0.966105i | ||||
\(290\) | 11.5773 | − | 38.8848i | 0.679840 | − | 2.28340i | ||||
\(291\) | −10.7123 | − | 2.27698i | −0.627968 | − | 0.133479i | ||||
\(292\) | −17.4940 | − | 45.5733i | −1.02376 | − | 2.66698i | ||||
\(293\) | −0.310044 | + | 0.310044i | −0.0181130 | + | 0.0181130i | −0.716105 | − | 0.697992i | \(-0.754077\pi\) |
0.697992 | + | 0.716105i | \(0.254077\pi\) | |||||||
\(294\) | 40.3154 | + | 5.84268i | 2.35124 | + | 0.340752i | ||||
\(295\) | 4.97779 | + | 5.84474i | 0.289818 | + | 0.340294i | ||||
\(296\) | 1.25788 | − | 11.9679i | 0.0731129 | − | 0.695623i | ||||
\(297\) | 10.2435 | + | 3.93211i | 0.594388 | + | 0.228164i | ||||
\(298\) | 0.575545 | − | 10.9820i | 0.0333404 | − | 0.636173i | ||||
\(299\) | 4.16021 | + | 7.20570i | 0.240591 | + | 0.416717i | ||||
\(300\) | −11.6171 | − | 36.0963i | −0.670716 | − | 2.08402i | ||||
\(301\) | 5.61309 | + | 2.28187i | 0.323533 | + | 0.131525i | ||||
\(302\) | −3.39870 | − | 6.67033i | −0.195573 | − | 0.383834i | ||||
\(303\) | 2.23629 | − | 1.81091i | 0.128472 | − | 0.104034i | ||||
\(304\) | 9.67901 | − | 4.30937i | 0.555130 | − | 0.247160i | ||||
\(305\) | 1.15434 | − | 2.41147i | 0.0660975 | − | 0.138080i | ||||
\(306\) | 1.62024 | − | 3.63913i | 0.0926231 | − | 0.208035i | ||||
\(307\) | −22.2385 | − | 22.2385i | −1.26922 | − | 1.26922i | −0.946491 | − | 0.322730i | \(-0.895399\pi\) |
−0.322730 | − | 0.946491i | \(-0.604601\pi\) | |||||||
\(308\) | 0.659672 | − | 33.6505i | 0.0375883 | − | 1.91741i | ||||
\(309\) | 5.56118 | − | 1.80694i | 0.316364 | − | 0.102793i | ||||
\(310\) | 3.83089 | − | 1.82068i | 0.217580 | − | 0.103408i | ||||
\(311\) | 11.9840 | − | 10.7904i | 0.679549 | − | 0.611868i | −0.255322 | − | 0.966856i | \(-0.582182\pi\) |
0.934871 | + | 0.354988i | \(0.115515\pi\) | |||||||
\(312\) | −8.69967 | + | 5.64963i | −0.492522 | + | 0.319847i | ||||
\(313\) | −0.870452 | − | 16.6092i | −0.0492009 | − | 0.938809i | −0.906031 | − | 0.423210i | \(-0.860903\pi\) |
0.856831 | − | 0.515598i | \(-0.172430\pi\) | |||||||
\(314\) | −8.75846 | + | 26.9558i | −0.494269 | + | 1.52120i | ||||
\(315\) | −12.8036 | − | 19.4939i | −0.721404 | − | 1.09836i | ||||
\(316\) | 12.4178 | + | 38.2181i | 0.698557 | + | 2.14994i | ||||
\(317\) | 10.9548 | − | 4.20514i | 0.615281 | − | 0.236184i | −0.0307110 | − | 0.999528i | \(-0.509777\pi\) |
0.645992 | + | 0.763344i | \(0.276444\pi\) | |||||||
\(318\) | −0.287072 | − | 1.07137i | −0.0160982 | − | 0.0600793i | ||||
\(319\) | −36.1074 | + | 3.79504i | −2.02163 | + | 0.212482i | ||||
\(320\) | 16.1864 | + | 23.6219i | 0.904845 | + | 1.32050i | ||||
\(321\) | 20.6452 | − | 28.4157i | 1.15230 | − | 1.58601i | ||||
\(322\) | −16.3780 | + | 17.4878i | −0.912710 | + | 0.974556i | ||||
\(323\) | 2.93446 | − | 1.49518i | 0.163278 | − | 0.0831941i | ||||
\(324\) | −13.1751 | + | 7.60667i | −0.731952 | + | 0.422593i | ||||
\(325\) | 2.13730 | − | 9.91899i | 0.118556 | − | 0.550207i | ||||
\(326\) | 14.1253 | − | 24.4658i | 0.782329 | − | 1.35503i | ||||
\(327\) | 34.3299 | + | 22.2941i | 1.89845 | + | 1.23287i | ||||
\(328\) | −0.770818 | + | 0.122086i | −0.0425613 | + | 0.00674105i | ||||
\(329\) | 10.9336 | − | 20.4569i | 0.602787 | − | 1.12783i | ||||
\(330\) | −43.7839 | + | 37.2895i | −2.41023 | + | 2.05272i | ||||
\(331\) | −1.28730 | − | 0.573145i | −0.0707567 | − | 0.0315029i | 0.371053 | − | 0.928612i | \(-0.378997\pi\) |
−0.441810 | + | 0.897109i | \(0.645663\pi\) | |||||||
\(332\) | −13.9671 | + | 3.74248i | −0.766546 | + | 0.205395i | ||||
\(333\) | −15.3891 | + | 19.0039i | −0.843316 | + | 1.04141i | ||||
\(334\) | −4.43586 | + | 4.92652i | −0.242720 | + | 0.269567i | ||||
\(335\) | 2.22811 | + | 9.33813i | 0.121735 | + | 0.510197i | ||||
\(336\) | 7.84528 | + | 6.61174i | 0.427995 | + | 0.360700i | ||||
\(337\) | 11.4838 | + | 5.85127i | 0.625560 | + | 0.318739i | 0.737879 | − | 0.674934i | \(-0.235828\pi\) |
−0.112319 | + | 0.993672i | \(0.535828\pi\) | |||||||
\(338\) | 19.5904 | − | 1.02669i | 1.06558 | − | 0.0558445i | ||||
\(339\) | 13.0385 | + | 14.4807i | 0.708153 | + | 0.786484i | ||||
\(340\) | 1.78925 | + | 2.33855i | 0.0970359 | + | 0.126826i | ||||
\(341\) | −2.82069 | − | 2.53976i | −0.152749 | − | 0.137536i | ||||
\(342\) | 61.9102 | + | 9.80561i | 3.34772 | + | 0.530227i | ||||
\(343\) | −6.74834 | + | 17.2470i | −0.364376 | + | 0.931252i | ||||
\(344\) | −2.61152 | − | 3.59444i | −0.140804 | − | 0.193799i | ||||
\(345\) | 24.1470 | + | 0.666032i | 1.30003 | + | 0.0358580i | ||||
\(346\) | 21.4761 | + | 48.2362i | 1.15456 | + | 2.59319i | ||||
\(347\) | −9.56290 | + | 24.9122i | −0.513363 | + | 1.33736i | 0.394810 | + | 0.918763i | \(0.370810\pi\) |
−0.908173 | + | 0.418594i | \(0.862523\pi\) | |||||||
\(348\) | −33.9317 | + | 52.2502i | −1.81893 | + | 2.80090i | ||||
\(349\) | 14.1549 | 0.757694 | 0.378847 | − | 0.925459i | \(-0.376321\pi\) | ||||
0.378847 | + | 0.925459i | \(0.376321\pi\) | |||||||
\(350\) | 29.1194 | − | 2.40276i | 1.55650 | − | 0.128433i | ||||
\(351\) | 5.03812 | 0.268915 | ||||||||
\(352\) | 17.1643 | − | 26.4306i | 0.914858 | − | 1.40876i | ||||
\(353\) | 3.33421 | − | 8.68593i | 0.177462 | − | 0.462305i | −0.815780 | − | 0.578362i | \(-0.803692\pi\) |
0.993243 | + | 0.116057i | \(0.0370255\pi\) | |||||||
\(354\) | −8.12678 | − | 18.2530i | −0.431933 | − | 0.970138i | ||||
\(355\) | −0.425201 | − | 1.44284i | −0.0225673 | − | 0.0765782i | ||||
\(356\) | −0.117315 | − | 0.161470i | −0.00621768 | − | 0.00855790i | ||||
\(357\) | 2.54290 | + | 1.92479i | 0.134585 | + | 0.101871i | ||||
\(358\) | 16.9922 | + | 2.69131i | 0.898068 | + | 0.142240i | ||||
\(359\) | −11.5444 | − | 10.3946i | −0.609289 | − | 0.548606i | 0.305678 | − | 0.952135i | \(-0.401117\pi\) |
−0.914967 | + | 0.403529i | \(0.867784\pi\) | |||||||
\(360\) | 0.423812 | + | 17.0964i | 0.0223368 | + | 0.901059i | ||||
\(361\) | 21.9629 | + | 24.3922i | 1.15594 | + | 1.28380i | ||||
\(362\) | −15.8194 | + | 0.829057i | −0.831447 | + | 0.0435743i | ||||
\(363\) | 20.0315 | + | 10.2066i | 1.05138 | + | 0.535707i | ||||
\(364\) | −5.25444 | − | 14.5335i | −0.275408 | − | 0.761763i | ||||
\(365\) | −28.8023 | − | 24.6690i | −1.50758 | − | 1.29124i | ||||
\(366\) | −4.65581 | + | 5.17080i | −0.243363 | + | 0.270282i | ||||
\(367\) | −2.00711 | + | 2.47858i | −0.104771 | + | 0.129381i | −0.826834 | − | 0.562446i | \(-0.809860\pi\) |
0.722064 | + | 0.691827i | \(0.243194\pi\) | |||||||
\(368\) | −5.82877 | + | 1.56181i | −0.303846 | + | 0.0814152i | ||||
\(369\) | 1.44876 | + | 0.645031i | 0.0754196 | + | 0.0335790i | ||||
\(370\) | −11.6840 | − | 28.3194i | −0.607423 | − | 1.47226i | ||||
\(371\) | 0.503992 | − | 0.0165161i | 0.0261660 | − | 0.000857471i | ||||
\(372\) | −6.43304 | + | 1.01889i | −0.333537 | + | 0.0528271i | ||||
\(373\) | −17.7239 | − | 11.5101i | −0.917711 | − | 0.595968i | −0.00296375 | − | 0.999996i | \(-0.500943\pi\) |
−0.914747 | + | 0.404027i | \(0.867610\pi\) | |||||||
\(374\) | 2.23292 | − | 3.86753i | 0.115462 | − | 0.199985i | ||||
\(375\) | −21.2831 | − | 20.3669i | −1.09905 | − | 1.05174i | ||||
\(376\) | −14.7297 | + | 8.50418i | −0.759625 | + | 0.438570i | ||||
\(377\) | −14.8537 | + | 7.56834i | −0.765005 | + | 0.389789i | ||||
\(378\) | 4.21186 | + | 13.8830i | 0.216635 | + | 0.714062i | ||||
\(379\) | 12.5385 | − | 17.2577i | 0.644058 | − | 0.886470i | −0.354766 | − | 0.934955i | \(-0.615439\pi\) |
0.998824 | + | 0.0484851i | \(0.0154393\pi\) | |||||||
\(380\) | −28.2571 | + | 36.7191i | −1.44956 | + | 1.88365i | ||||
\(381\) | −46.1181 | + | 4.84721i | −2.36270 | + | 0.248330i | ||||
\(382\) | 3.24282 | + | 12.1024i | 0.165917 | + | 0.619211i | ||||
\(383\) | 0.231526 | − | 0.0888745i | 0.0118304 | − | 0.00454128i | −0.352446 | − | 0.935832i | \(-0.614650\pi\) |
0.364276 | + | 0.931291i | \(0.381316\pi\) | |||||||
\(384\) | −11.4180 | − | 35.1409i | −0.582670 | − | 1.79327i | ||||
\(385\) | −11.9909 | − | 23.2349i | −0.611112 | − | 1.18416i | ||||
\(386\) | −2.03627 | + | 6.26699i | −0.103643 | + | 0.318981i | ||||
\(387\) | 0.472509 | + | 9.01600i | 0.0240190 | + | 0.458309i | ||||
\(388\) | −10.0338 | + | 6.51603i | −0.509389 | + | 0.330801i | ||||
\(389\) | 15.7269 | − | 14.1605i | 0.797384 | − | 0.717967i | −0.165991 | − | 0.986127i | \(-0.553082\pi\) |
0.963374 | + | 0.268160i | \(0.0864155\pi\) | |||||||
\(390\) | −12.6329 | + | 23.1896i | −0.639690 | + | 1.17425i | ||||
\(391\) | −1.78396 | + | 0.579644i | −0.0902188 | + | 0.0293139i | ||||
\(392\) | 10.8807 | − | 8.12611i | 0.549556 | − | 0.410431i | ||||
\(393\) | 0.274148 | + | 0.274148i | 0.0138289 | + | 0.0138289i | ||||
\(394\) | −4.46641 | + | 10.0317i | −0.225015 | + | 0.505391i | ||||
\(395\) | 22.6146 | + | 21.5205i | 1.13786 | + | 1.08282i | ||||
\(396\) | 45.8141 | − | 20.3978i | 2.30225 | − | 1.02503i | ||||
\(397\) | 10.1436 | − | 8.21415i | 0.509094 | − | 0.412256i | −0.340058 | − | 0.940404i | \(-0.610447\pi\) |
0.849152 | + | 0.528148i | \(0.177113\pi\) | |||||||
\(398\) | 11.0581 | + | 21.7028i | 0.554295 | + | 1.08786i | ||||
\(399\) | −18.8989 | + | 46.4888i | −0.946130 | + | 2.32735i | ||||
\(400\) | 6.54743 | + | 3.35913i | 0.327372 | + | 0.167957i | ||||
\(401\) | −15.0222 | − | 26.0192i | −0.750173 | − | 1.29934i | −0.947738 | − | 0.319049i | \(-0.896637\pi\) |
0.197565 | − | 0.980290i | \(-0.436697\pi\) | |||||||
\(402\) | 1.30763 | − | 24.9511i | 0.0652188 | − | 1.24445i | ||||
\(403\) | −1.62707 | − | 0.624573i | −0.0810500 | − | 0.0311122i | ||||
\(404\) | 0.328591 | − | 3.12633i | 0.0163480 | − | 0.155541i | ||||
\(405\) | −6.18924 | + | 10.0683i | −0.307546 | + | 0.500300i | ||||
\(406\) | −33.2729 | − | 34.6035i | −1.65131 | − | 1.71734i | ||||
\(407\) | −19.3848 | + | 19.3848i | −0.960870 | + | 0.960870i | ||||
\(408\) | −0.838058 | − | 2.18321i | −0.0414900 | − | 0.108085i | ||||
\(409\) | −8.98098 | − | 1.90897i | −0.444081 | − | 0.0943923i | −0.0195564 | − | 0.999809i | \(-0.506225\pi\) |
−0.424525 | + | 0.905416i | \(0.639559\pi\) | |||||||
\(410\) | −1.57789 | + | 1.20726i | −0.0779263 | + | 0.0596224i | ||||
\(411\) | −7.75808 | − | 36.4989i | −0.382678 | − | 1.80036i | ||||
\(412\) | 2.90003 | − | 5.69162i | 0.142874 | − | 0.280406i | ||||
\(413\) | 8.92060 | − | 1.71411i | 0.438954 | − | 0.0843460i | ||||
\(414\) | −33.9532 | − | 11.0321i | −1.66871 | − | 0.542196i | ||||
\(415\) | −8.15906 | + | 7.72105i | −0.400512 | + | 0.379011i | ||||
\(416\) | 3.00862 | − | 14.1544i | 0.147510 | − | 0.693979i | ||||
\(417\) | −33.0881 | − | 26.7942i | −1.62033 | − | 1.31212i | ||||
\(418\) | 67.8769 | + | 18.1876i | 3.31997 | + | 0.889583i | ||||
\(419\) | −8.58306 | + | 6.23596i | −0.419310 | + | 0.304647i | −0.777360 | − | 0.629056i | \(-0.783442\pi\) |
0.358050 | + | 0.933702i | \(0.383442\pi\) | |||||||
\(420\) | −43.9345 | − | 9.10081i | −2.14378 | − | 0.444074i | ||||
\(421\) | −14.5995 | − | 10.6071i | −0.711535 | − | 0.516960i | 0.172134 | − | 0.985074i | \(-0.444934\pi\) |
−0.883668 | + | 0.468113i | \(0.844934\pi\) | |||||||
\(422\) | 18.4832 | + | 22.8248i | 0.899746 | + | 1.11109i | ||||
\(423\) | 34.5146 | + | 1.80883i | 1.67816 | + | 0.0879484i | ||||
\(424\) | −0.320219 | − | 0.184878i | −0.0155512 | − | 0.00897849i | ||||
\(425\) | 2.08711 | + | 0.936228i | 0.101239 | + | 0.0454137i | ||||
\(426\) | 3.91476i | 0.189671i | ||||||||
\(427\) | −1.80885 | − | 2.59515i | −0.0875364 | − | 0.125588i | ||||
\(428\) | −6.00244 | − | 37.8979i | −0.290139 | − | 1.83186i | ||||
\(429\) | 23.5016 | + | 2.47012i | 1.13467 | + | 0.119258i | ||||
\(430\) | −10.2020 | − | 4.88360i | −0.491985 | − | 0.235508i | ||||
\(431\) | 4.12360 | + | 39.2335i | 0.198627 | + | 1.88981i | 0.409520 | + | 0.912301i | \(0.365696\pi\) |
−0.210893 | + | 0.977509i | \(0.567637\pi\) | |||||||
\(432\) | −0.945697 | + | 3.52939i | −0.0454999 | + | 0.169808i | ||||
\(433\) | 2.43178 | − | 15.3536i | 0.116864 | − | 0.737849i | −0.857768 | − | 0.514036i | \(-0.828150\pi\) |
0.974632 | − | 0.223813i | \(-0.0718504\pi\) | |||||||
\(434\) | 0.360836 | − | 5.00566i | 0.0173207 | − | 0.240280i | ||||
\(435\) | −3.86467 | + | 48.2445i | −0.185297 | + | 2.31315i | ||||
\(436\) | 43.7402 | − | 9.29726i | 2.09477 | − | 0.445258i | ||||
\(437\) | −16.0754 | − | 24.7540i | −0.768993 | − | 1.18415i | ||||
\(438\) | 53.7539 | + | 82.7738i | 2.56846 | + | 3.95508i | ||||
\(439\) | 17.0563 | − | 3.62543i | 0.814053 | − | 0.173032i | 0.217970 | − | 0.975955i | \(-0.430056\pi\) |
0.596083 | + | 0.802923i | \(0.296723\pi\) | |||||||
\(440\) | −1.53091 | + | 19.1111i | −0.0729833 | + | 0.911085i | ||||
\(441\) | −27.5365 | + | 1.80671i | −1.31126 | + | 0.0860338i | ||||
\(442\) | 0.320780 | − | 2.02533i | 0.0152580 | − | 0.0963350i | ||||
\(443\) | −6.91402 | + | 25.8035i | −0.328495 | + | 1.22596i | 0.582257 | + | 0.813005i | \(0.302170\pi\) |
−0.910752 | + | 0.412954i | \(0.864497\pi\) | |||||||
\(444\) | 4.91729 | + | 46.7849i | 0.233364 | + | 2.22031i | ||||
\(445\) | −0.139853 | − | 0.0669464i | −0.00662969 | − | 0.00317356i | ||||
\(446\) | −38.2865 | − | 4.02407i | −1.81292 | − | 0.190545i | ||||
\(447\) | 2.05222 | + | 12.9572i | 0.0970668 | + | 0.612856i | ||||
\(448\) | 33.7593 | − | 2.88050i | 1.59498 | − | 0.136091i | ||||
\(449\) | − | 17.4918i | − | 0.825491i | −0.910846 | − | 0.412746i | \(-0.864570\pi\) | ||
0.910846 | − | 0.412746i | \(-0.135430\pi\) | |||||||
\(450\) | 21.6628 | + | 37.7641i | 1.02119 | + | 1.78022i | ||||
\(451\) | 1.53969 | + | 0.888943i | 0.0725014 | + | 0.0418587i | ||||
\(452\) | 21.2577 | + | 1.11407i | 0.999876 | + | 0.0524013i | ||||
\(453\) | 5.62020 | + | 6.94037i | 0.264060 | + | 0.326087i | ||||
\(454\) | −37.0971 | − | 26.9526i | −1.74105 | − | 1.26495i | ||||
\(455\) | −8.96347 | − | 7.98701i | −0.420214 | − | 0.374437i | ||||
\(456\) | 29.7699 | − | 21.6291i | 1.39410 | − | 1.01288i | ||||
\(457\) | 20.4213 | + | 5.47187i | 0.955268 | + | 0.255963i | 0.702596 | − | 0.711589i | \(-0.252024\pi\) |
0.252672 | + | 0.967552i | \(0.418691\pi\) | |||||||
\(458\) | −27.7877 | − | 22.5020i | −1.29843 | − | 1.05145i | ||||
\(459\) | −0.236146 | + | 1.11098i | −0.0110224 | + | 0.0518561i | ||||
\(460\) | 19.1672 | − | 18.1383i | 0.893677 | − | 0.845701i | ||||
\(461\) | 19.9318 | + | 6.47624i | 0.928318 | + | 0.301629i | 0.733875 | − | 0.679285i | \(-0.237710\pi\) |
0.194443 | + | 0.980914i | \(0.437710\pi\) | |||||||
\(462\) | 12.8407 | + | 66.8257i | 0.597404 | + | 3.10901i | ||||
\(463\) | −9.67842 | + | 18.9950i | −0.449794 | + | 0.882771i | 0.549100 | + | 0.835757i | \(0.314971\pi\) |
−0.998894 | + | 0.0470143i | \(0.985029\pi\) | |||||||
\(464\) | −2.51374 | − | 11.8262i | −0.116697 | − | 0.549018i | ||||
\(465\) | −4.01853 | + | 3.07463i | −0.186355 | + | 0.142582i | ||||
\(466\) | −18.6388 | − | 3.96179i | −0.863425 | − | 0.183527i | ||||
\(467\) | −2.56503 | − | 6.68212i | −0.118695 | − | 0.309212i | 0.861342 | − | 0.508025i | \(-0.169624\pi\) |
−0.980037 | + | 0.198814i | \(0.936291\pi\) | |||||||
\(468\) | 16.2827 | − | 16.2827i | 0.752668 | − | 0.752668i | ||||
\(469\) | 10.9124 | + | 3.15446i | 0.503888 | + | 0.145660i | ||||
\(470\) | −22.6750 | + | 36.8867i | −1.04592 | + | 1.70146i | ||||
\(471\) | 3.53422 | − | 33.6258i | 0.162848 | − | 1.54940i | ||||
\(472\) | −6.21840 | − | 2.38702i | −0.286225 | − | 0.109871i | ||||
\(473\) | −0.529720 | + | 10.1077i | −0.0243565 | + | 0.464750i | ||||
\(474\) | −40.6233 | − | 70.3616i | −1.86589 | − | 3.23181i | ||||
\(475\) | −5.72991 | + | 35.5351i | −0.262906 | + | 1.63046i | ||||
\(476\) | 3.45114 | − | 0.477470i | 0.158183 | − | 0.0218848i | ||||
\(477\) | 0.341113 | + | 0.669472i | 0.0156185 | + | 0.0306530i | ||||
\(478\) | 5.20513 | − | 4.21503i | 0.238077 | − | 0.192791i | ||||
\(479\) | 13.7139 | − | 6.10584i | 0.626606 | − | 0.278983i | −0.0687663 | − | 0.997633i | \(-0.521906\pi\) |
0.695372 | + | 0.718650i | \(0.255240\pi\) | |||||||
\(480\) | −30.4339 | − | 28.9615i | −1.38911 | − | 1.32190i | ||||
\(481\) | −5.11991 | + | 11.4995i | −0.233448 | + | 0.524332i | ||||
\(482\) | −35.5878 | − | 35.5878i | −1.62098 | − | 1.62098i | ||||
\(483\) | 14.7734 | − | 24.4679i | 0.672213 | − | 1.11333i | ||||
\(484\) | 23.3580 | − | 7.58946i | 1.06173 | − | 0.344975i | ||||
\(485\) | −4.44623 | + | 8.16175i | −0.201893 | + | 0.370606i | ||||
\(486\) | 35.0830 | − | 31.5889i | 1.59140 | − | 1.43290i | ||||
\(487\) | 17.7573 | − | 11.5318i | 0.804662 | − | 0.522554i | −0.0755457 | − | 0.997142i | \(-0.524070\pi\) |
0.880208 | + | 0.474589i | \(0.157403\pi\) | |||||||
\(488\) | 0.121396 | + | 2.31638i | 0.00549536 | + | 0.104858i | ||||
\(489\) | −10.4142 | + | 32.0515i | −0.470944 | + | 1.44942i | ||||
\(490\) | 14.5154 | − | 31.3767i | 0.655740 | − | 1.41746i | ||||
\(491\) | 9.70848 | + | 29.8796i | 0.438138 | + | 1.34845i | 0.889837 | + | 0.456278i | \(0.150818\pi\) |
−0.451700 | + | 0.892170i | \(0.649182\pi\) | |||||||
\(492\) | 2.84820 | − | 1.09332i | 0.128407 | − | 0.0492907i | ||||
\(493\) | −0.972711 | − | 3.63021i | −0.0438087 | − | 0.163496i | ||||
\(494\) | 32.0896 | − | 3.37276i | 1.44378 | − | 0.151748i | ||||
\(495\) | 23.7599 | − | 30.8753i | 1.06793 | − | 1.38774i | ||||
\(496\) | 0.742950 | − | 1.02258i | 0.0333594 | − | 0.0459153i | ||||
\(497\) | −1.73330 | − | 0.404088i | −0.0777493 | − | 0.0181258i | ||||
\(498\) | 26.0487 | − | 13.2725i | 1.16727 | − | 0.594754i | ||||
\(499\) | 18.4253 | − | 10.6378i | 0.824829 | − | 0.476215i | −0.0272499 | − | 0.999629i | \(-0.508675\pi\) |
0.852079 | + | 0.523413i | \(0.175342\pi\) | |||||||
\(500\) | −32.1732 | + | 0.707718i | −1.43883 | + | 0.0316501i | ||||
\(501\) | 3.95412 | − | 6.84874i | 0.176657 | − | 0.305979i | ||||
\(502\) | −50.6939 | − | 32.9210i | −2.26258 | − | 1.46934i | ||||
\(503\) | 20.6199 | − | 3.26588i | 0.919398 | − | 0.145618i | 0.321241 | − | 0.946997i | \(-0.395900\pi\) |
0.598157 | + | 0.801379i | \(0.295900\pi\) | |||||||
\(504\) | 17.8459 | + | 9.53808i | 0.794921 | + | 0.424860i | ||||
\(505\) | −0.931396 | − | 2.25749i | −0.0414466 | − | 0.100457i | ||||
\(506\) | −36.5629 | − | 16.2789i | −1.62542 | − | 0.723683i | ||||
\(507\) | −22.6046 | + | 6.05687i | −1.00390 | + | 0.268995i | ||||
\(508\) | −31.8804 | + | 39.3690i | −1.41446 | + | 1.74672i | ||||
\(509\) | −6.95666 | + | 7.72615i | −0.308348 | + | 0.342456i | −0.877324 | − | 0.479899i | \(-0.840673\pi\) |
0.568975 | + | 0.822355i | \(0.307340\pi\) | |||||||
\(510\) | −4.52153 | − | 3.87267i | −0.200217 | − | 0.171485i | ||||
\(511\) | −42.1976 | + | 15.2561i | −1.86671 | + | 0.674890i | ||||
\(512\) | 14.4391 | + | 7.35709i | 0.638125 | + | 0.325141i | ||||
\(513\) | −17.8477 | + | 0.935356i | −0.787994 | + | 0.0412970i | ||||
\(514\) | −2.26781 | − | 2.51866i | −0.100029 | − | 0.111093i | ||||
\(515\) | −0.122979 | − | 4.96092i | −0.00541910 | − | 0.218604i | ||||
\(516\) | 12.9073 | + | 11.6217i | 0.568210 | + | 0.511619i | ||||
\(517\) | 38.2696 | + | 6.06131i | 1.68310 | + | 0.266576i | ||||
\(518\) | −35.9681 | − | 4.49477i | −1.58035 | − | 0.197489i | ||||
\(519\) | −37.0233 | − | 50.9581i | −1.62514 | − | 2.23681i | ||||
\(520\) | 2.48849 | + | 8.44427i | 0.109128 | + | 0.370306i | ||||
\(521\) | 3.43778 | + | 7.72138i | 0.150612 | + | 0.338280i | 0.973057 | − | 0.230565i | \(-0.0740573\pi\) |
−0.822445 | + | 0.568844i | \(0.807391\pi\) | |||||||
\(522\) | 25.6337 | − | 66.7781i | 1.12196 | − | 2.92280i | ||||
\(523\) | 4.54855 | − | 7.00415i | 0.198894 | − | 0.306270i | −0.725124 | − | 0.688618i | \(-0.758218\pi\) |
0.924018 | + | 0.382348i | \(0.124884\pi\) | |||||||
\(524\) | 0.423541 | 0.0185025 | ||||||||
\(525\) | −33.3822 | + | 10.0260i | −1.45692 | + | 0.437569i | ||||
\(526\) | 3.38013 | 0.147381 | ||||||||
\(527\) | 0.213991 | − | 0.329518i | 0.00932160 | − | 0.0143540i | ||||
\(528\) | −6.14186 | + | 16.0001i | −0.267290 | + | 0.696314i | ||||
\(529\) | −2.51741 | − | 5.65419i | −0.109452 | − | 0.245834i | ||||
\(530\) | −0.940946 | − | 0.0259535i | −0.0408721 | − | 0.00112735i | ||||
\(531\) | 7.95574 | + | 10.9501i | 0.345250 | + | 0.475196i | ||||
\(532\) | 21.3122 | + | 50.5098i | 0.924002 | + | 2.18988i | ||||
\(533\) | 0.806298 | + | 0.127705i | 0.0349247 | + | 0.00553152i | ||||
\(534\) | 0.299882 | + | 0.270015i | 0.0129771 | + | 0.0116847i | ||||
\(535\) | −18.1130 | − | 23.6737i | −0.783095 | − | 1.02350i | ||||
\(536\) | −5.57337 | − | 6.18986i | −0.240733 | − | 0.267361i | ||||
\(537\) | −20.4950 | + | 1.07410i | −0.884426 | + | 0.0463508i | ||||
\(538\) | −48.0970 | − | 24.5067i | −2.07361 | − | 1.05656i | ||||
\(539\) | −30.9133 | − | 1.21249i | −1.33153 | − | 0.0522257i | ||||
\(540\) | −3.70850 | − | 15.5425i | −0.159589 | − | 0.668845i | ||||
\(541\) | 6.64613 | − | 7.38127i | 0.285739 | − | 0.317346i | −0.583138 | − | 0.812373i | \(-0.698175\pi\) |
0.868877 | + | 0.495027i | \(0.164842\pi\) | |||||||
\(542\) | 23.2471 | − | 28.7078i | 0.998549 | − | 1.23311i | ||||
\(543\) | 18.2533 | − | 4.89096i | 0.783324 | − | 0.209891i | ||||
\(544\) | 2.98024 | + | 1.32689i | 0.127777 | + | 0.0568900i | ||||
\(545\) | 26.4471 | − | 22.5242i | 1.13287 | − | 0.964832i | ||||
\(546\) | 16.5007 | + | 26.5333i | 0.706164 | + | 1.13552i | ||||
\(547\) | −12.2172 | + | 1.93502i | −0.522371 | + | 0.0827354i | −0.412051 | − | 0.911161i | \(-0.635188\pi\) |
−0.110320 | + | 0.993896i | \(0.535188\pi\) | |||||||
\(548\) | −34.1870 | − | 22.2013i | −1.46040 | − | 0.948393i | ||||
\(549\) | 2.35674 | − | 4.08199i | 0.100583 | − | 0.174215i | ||||
\(550\) | 19.7273 | + | 44.6432i | 0.841176 | + | 1.90359i | ||||
\(551\) | 51.2145 | − | 29.5687i | 2.18181 | − | 1.25967i | ||||
\(552\) | −18.6738 | + | 9.51478i | −0.794810 | + | 0.404976i | ||||
\(553\) | 35.3466 | − | 10.7236i | 1.50309 | − | 0.456013i | ||||
\(554\) | −27.3787 | + | 37.6835i | −1.16321 | + | 1.60102i | ||||
\(555\) | 20.6574 | + | 30.1468i | 0.876860 | + | 1.27966i | ||||
\(556\) | −46.2571 | + | 4.86181i | −1.96174 | + | 0.206187i | ||||
\(557\) | −3.06598 | − | 11.4424i | −0.129910 | − | 0.484829i | 0.870057 | − | 0.492950i | \(-0.164082\pi\) |
−0.999967 | + | 0.00812111i | \(0.997415\pi\) | |||||||
\(558\) | 6.98126 | − | 2.67985i | 0.295540 | − | 0.113447i | ||||
\(559\) | 1.43615 | + | 4.42002i | 0.0607428 | + | 0.186947i | ||||
\(560\) | 7.27771 | − | 4.78002i | 0.307540 | − | 0.201993i | ||||
\(561\) | −1.64626 | + | 5.06667i | −0.0695052 | + | 0.213915i | ||||
\(562\) | 0.972620 | + | 18.5587i | 0.0410275 | + | 0.782852i | ||||
\(563\) | −18.9717 | + | 12.3203i | −0.799561 | + | 0.519241i | −0.878559 | − | 0.477634i | \(-0.841495\pi\) |
0.0789982 | + | 0.996875i | \(0.474828\pi\) | |||||||
\(564\) | 49.4108 | − | 44.4897i | 2.08057 | − | 1.87336i | ||||
\(565\) | 14.9358 | − | 7.09844i | 0.628353 | − | 0.298633i | ||||
\(566\) | −6.98619 | + | 2.26995i | −0.293652 | + | 0.0954132i | ||||
\(567\) | 6.75325 | + | 12.2451i | 0.283610 | + | 0.514247i | ||||
\(568\) | 0.922809 | + | 0.922809i | 0.0387202 | + | 0.0387202i | ||||
\(569\) | −3.17829 | + | 7.13857i | −0.133241 | + | 0.299264i | −0.967828 | − | 0.251611i | \(-0.919040\pi\) |
0.834587 | + | 0.550876i | \(0.185706\pi\) | |||||||
\(570\) | 40.4469 | − | 84.4951i | 1.69414 | − | 3.53911i | ||||
\(571\) | −0.713277 | + | 0.317571i | −0.0298497 | + | 0.0132899i | −0.421607 | − | 0.906779i | \(-0.638534\pi\) |
0.391758 | + | 0.920069i | \(0.371867\pi\) | |||||||
\(572\) | 20.0623 | − | 16.2461i | 0.838846 | − | 0.679284i | ||||
\(573\) | −6.78557 | − | 13.3174i | −0.283471 | − | 0.556344i | ||||
\(574\) | 0.322162 | + | 2.32858i | 0.0134468 | + | 0.0971932i | ||||
\(575\) | 6.38937 | − | 19.4793i | 0.266455 | − | 0.812344i | ||||
\(576\) | 25.2426 | + | 43.7214i | 1.05177 | + | 1.82173i | ||||
\(577\) | 1.62554 | − | 31.0171i | 0.0676721 | − | 1.29126i | −0.728019 | − | 0.685557i | \(-0.759559\pi\) |
0.795691 | − | 0.605703i | \(-0.207108\pi\) | |||||||
\(578\) | −34.6224 | − | 13.2903i | −1.44010 | − | 0.552804i | ||||
\(579\) | 0.821676 | − | 7.81772i | 0.0341477 | − | 0.324894i | ||||
\(580\) | 34.2819 | + | 40.2526i | 1.42348 | + | 1.67140i | ||||
\(581\) | 3.18775 | + | 12.9034i | 0.132250 | + | 0.535322i | ||||
\(582\) | 17.1041 | − | 17.1041i | 0.708989 | − | 0.708989i | ||||
\(583\) | 0.301868 | + | 0.786394i | 0.0125021 | + | 0.0325691i | ||||
\(584\) | 32.1831 | + | 6.84072i | 1.33174 | + | 0.283071i | ||||
\(585\) | 5.10463 | − | 17.1450i | 0.211050 | − | 0.708860i | ||||
\(586\) | −0.201351 | − | 0.947283i | −0.00831774 | − | 0.0391319i | ||||
\(587\) | 0.413752 | − | 0.812035i | 0.0170774 | − | 0.0335163i | −0.882310 | − | 0.470668i | \(-0.844013\pi\) |
0.899388 | + | 0.437152i | \(0.144013\pi\) | |||||||
\(588\) | −35.0004 | + | 39.9157i | −1.44339 | + | 1.64610i | ||||
\(589\) | 5.87988 | + | 1.91049i | 0.242276 | + | 0.0787204i | ||||
\(590\) | −16.8146 | + | 2.18982i | −0.692248 | + | 0.0901536i | ||||
\(591\) | 2.72357 | − | 12.8134i | 0.112033 | − | 0.527071i | ||||
\(592\) | −7.09478 | − | 5.74524i | −0.291594 | − | 0.236128i | ||||
\(593\) | −4.12603 | − | 1.10557i | −0.169436 | − | 0.0454002i | 0.173104 | − | 0.984904i | \(-0.444620\pi\) |
−0.342540 | + | 0.939503i | \(0.611287\pi\) | |||||||
\(594\) | −19.6061 | + | 14.2447i | −0.804447 | + | 0.584465i | ||||
\(595\) | 2.18139 | − | 1.60221i | 0.0894282 | − | 0.0656843i | ||||
\(596\) | 11.5943 | + | 8.42375i | 0.474921 | + | 0.345050i | ||||
\(597\) | −18.2861 | − | 22.5814i | −0.748400 | − | 0.924197i | ||||
\(598\) | −18.3522 | − | 0.961795i | −0.750475 | − | 0.0393307i | ||||
\(599\) | 14.1145 | + | 8.14902i | 0.576704 | + | 0.332960i | 0.759822 | − | 0.650131i | \(-0.225286\pi\) |
−0.183119 | + | 0.983091i | \(0.558619\pi\) | |||||||
\(600\) | 24.6687 | + | 6.68380i | 1.00709 | + | 0.272865i | ||||
\(601\) | − | 2.76321i | − | 0.112714i | −0.998411 | − | 0.0563569i | \(-0.982052\pi\) | ||
0.998411 | − | 0.0563569i | \(-0.0179485\pi\) | |||||||
\(602\) | −10.9791 | + | 7.65257i | −0.447476 | + | 0.311896i | ||||
\(603\) | 2.64774 | + | 16.7172i | 0.107824 | + | 0.680775i | ||||
\(604\) | 9.70262 | + | 1.01979i | 0.394794 | + | 0.0414945i | ||||
\(605\) | 13.1528 | − | 13.8215i | 0.534738 | − | 0.561923i | ||||
\(606\) | 0.664351 | + | 6.32087i | 0.0269874 | + | 0.256768i | ||||
\(607\) | −1.76591 | + | 6.59047i | −0.0716761 | + | 0.267499i | −0.992459 | − | 0.122576i | \(-0.960884\pi\) |
0.920783 | + | 0.390075i | \(0.127551\pi\) | |||||||
\(608\) | −8.03026 | + | 50.7010i | −0.325670 | + | 2.05620i | ||||
\(609\) | 47.4072 | + | 32.1249i | 1.92104 | + | 1.30177i | ||||
\(610\) | 3.07832 | + | 5.03913i | 0.124638 | + | 0.204029i | ||||
\(611\) | 17.4025 | − | 3.69901i | 0.704028 | − | 0.149646i | ||||
\(612\) | 2.82738 | + | 4.35378i | 0.114290 | + | 0.175991i | ||||
\(613\) | −19.1430 | − | 29.4776i | −0.773177 | − | 1.19059i | −0.977345 | − | 0.211652i | \(-0.932116\pi\) |
0.204168 | − | 0.978936i | \(-0.434551\pi\) | |||||||
\(614\) | 67.9458 | − | 14.4423i | 2.74207 | − | 0.582845i | ||||
\(615\) | 1.54174 | − | 1.80005i | 0.0621690 | − | 0.0725852i | ||||
\(616\) | 18.7794 | + | 12.7256i | 0.756644 | + | 0.512731i | ||||
\(617\) | 0.760663 | − | 4.80264i | 0.0306232 | − | 0.193347i | −0.967634 | − | 0.252357i | \(-0.918794\pi\) |
0.998257 | + | 0.0590098i | \(0.0187943\pi\) | |||||||
\(618\) | −3.34267 | + | 12.4750i | −0.134462 | + | 0.501819i | ||||
\(619\) | 0.700614 | + | 6.66590i | 0.0281601 | + | 0.267925i | 0.999538 | + | 0.0303868i | \(0.00967389\pi\) |
−0.971378 | + | 0.237538i | \(0.923659\pi\) | |||||||
\(620\) | −0.729134 | + | 5.47923i | −0.0292827 | + | 0.220051i | ||||
\(621\) | 10.1233 | + | 1.06400i | 0.406235 | + | 0.0426970i | ||||
\(622\) | 5.57181 | + | 35.1791i | 0.223409 | + | 1.41055i | ||||
\(623\) | −0.150506 | + | 0.104905i | −0.00602991 | + | 0.00420291i | ||||
\(624\) | 7.86941i | 0.315029i | ||||||||
\(625\) | −21.7201 | + | 12.3790i | −0.868803 | + | 0.495158i | ||||
\(626\) | 31.8136 | + | 18.3676i | 1.27153 | + | 0.734116i | ||||
\(627\) | −83.7136 | − | 4.38725i | −3.34320 | − | 0.175210i | ||||
\(628\) | −23.2448 | − | 28.7049i | −0.927567 | − | 1.14545i | ||||
\(629\) | −2.29583 | − | 1.66802i | −0.0915408 | − | 0.0665083i | ||||
\(630\) | 51.5121 | − | 0.267007i | 2.05229 | − | 0.0106378i | ||||
\(631\) | −20.9516 | + | 15.2223i | −0.834071 | + | 0.605988i | −0.920708 | − | 0.390252i | \(-0.872388\pi\) |
0.0866370 | + | 0.996240i | \(0.472388\pi\) | |||||||
\(632\) | −26.1620 | − | 7.01008i | −1.04067 | − | 0.278846i | ||||
\(633\) | −27.2283 | − | 22.0490i | −1.08223 | − | 0.876370i | ||||
\(634\) | −5.38849 | + | 25.3509i | −0.214004 | + | 1.00681i | ||||
\(635\) | −7.22574 | + | 38.6852i | −0.286745 | + | 1.53518i | ||||
\(636\) | 1.37470 | + | 0.446668i | 0.0545105 | + | 0.0177115i | ||||
\(637\) | −13.4511 | + | 4.56706i | −0.532953 | + | 0.180953i | ||||
\(638\) | 36.4054 | − | 71.4496i | 1.44130 | − | 2.82872i | ||||
\(639\) | −0.551368 | − | 2.59398i | −0.0218118 | − | 0.102616i | ||||
\(640\) | −31.3478 | + | 0.777099i | −1.23913 | + | 0.0307175i | ||||
\(641\) | −17.9818 | − | 3.82215i | −0.710238 | − | 0.150966i | −0.161394 | − | 0.986890i | \(-0.551599\pi\) |
−0.548845 | + | 0.835924i | \(0.684932\pi\) | |||||||
\(642\) | 27.8014 | + | 72.4251i | 1.09723 | + | 2.85839i | ||||
\(643\) | 8.87881 | − | 8.87881i | 0.350146 | − | 0.350146i | −0.510018 | − | 0.860164i | \(-0.670361\pi\) |
0.860164 | + | 0.510018i | \(0.170361\pi\) | |||||||
\(644\) | −7.48865 | − | 30.3126i | −0.295094 | − | 1.19448i | ||||
\(645\) | 13.1155 | + | 3.16813i | 0.516424 | + | 0.124745i | ||||
\(646\) | −0.760359 | + | 7.23433i | −0.0299159 | + | 0.284631i | ||||
\(647\) | 21.3294 | + | 8.18759i | 0.838545 | + | 0.321887i | 0.739467 | − | 0.673192i | \(-0.235077\pi\) |
0.0990776 | + | 0.995080i | \(0.468411\pi\) | |||||||
\(648\) | 0.536646 | − | 10.2398i | 0.0210815 | − | 0.402258i | ||||
\(649\) | 7.58697 | + | 13.1410i | 0.297815 | + | 0.515830i | ||||
\(650\) | 15.8026 | + | 15.8911i | 0.619830 | + | 0.623299i | ||||
\(651\) | 0.820476 | + | 5.93039i | 0.0321570 | + | 0.232430i | ||||
\(652\) | 16.7141 | + | 32.8033i | 0.654575 | + | 1.28468i | ||||
\(653\) | −23.8368 | + | 19.3026i | −0.932804 | + | 0.755370i | −0.969789 | − | 0.243946i | \(-0.921558\pi\) |
0.0369846 | + | 0.999316i | \(0.488225\pi\) | |||||||
\(654\) | −82.5939 | + | 36.7732i | −3.22968 | + | 1.43795i | ||||
\(655\) | 0.289376 | − | 0.156596i | 0.0113069 | − | 0.00611871i | ||||
\(656\) | −0.240811 | + | 0.540870i | −0.00940209 | + | 0.0211174i | ||||
\(657\) | −47.2763 | − | 47.2763i | −1.84442 | − | 1.84442i | ||||
\(658\) | 24.7414 | + | 44.8616i | 0.964519 | + | 1.74889i | ||||
\(659\) | −14.8928 | + | 4.83895i | −0.580140 | + | 0.188499i | −0.584363 | − | 0.811492i | \(-0.698656\pi\) |
0.00422331 | + | 0.999991i | \(0.498656\pi\) | |||||||
\(660\) | −9.67898 | − | 74.3205i | −0.376754 | − | 2.89292i | ||||
\(661\) | −23.5871 | + | 21.2379i | −0.917431 | + | 0.826059i | −0.985159 | − | 0.171645i | \(-0.945092\pi\) |
0.0677275 | + | 0.997704i | \(0.478425\pi\) | |||||||
\(662\) | 2.61023 | − | 1.69511i | 0.101450 | − | 0.0658822i | ||||
\(663\) | 0.128023 | + | 2.44283i | 0.00497201 | + | 0.0948716i | ||||
\(664\) | 3.01168 | − | 9.26901i | 0.116876 | − | 0.359707i | ||||
\(665\) | 33.2362 | + | 26.6301i | 1.28884 | + | 1.03267i | ||||
\(666\) | −16.6901 | − | 51.3669i | −0.646729 | − | 1.99043i | ||||
\(667\) | −31.4446 | + | 12.0705i | −1.21754 | + | 0.467370i | ||||
\(668\) | −2.23600 | − | 8.34486i | −0.0865133 | − | 0.322872i | ||||
\(669\) | 45.6729 | − | 4.80041i | 1.76582 | − | 0.185595i | ||||
\(670\) | −19.9780 | − | 7.10597i | −0.771817 | − | 0.274527i | ||||
\(671\) | 3.10596 | − | 4.27499i | 0.119904 | − | 0.165034i | ||||
\(672\) | −47.5680 | + | 14.4314i | −1.83498 | + | 0.556702i | ||||
\(673\) | 3.58187 | − | 1.82505i | 0.138071 | − | 0.0703507i | −0.383590 | − | 0.923503i | \(-0.625312\pi\) |
0.521661 | + | 0.853153i | \(0.325312\pi\) | |||||||
\(674\) | −24.6530 | + | 14.2334i | −0.949600 | + | 0.548252i | ||||
\(675\) | −8.28031 | − | 9.24799i | −0.318709 | − | 0.355955i | ||||
\(676\) | −12.7825 | + | 22.1400i | −0.491636 | + | 0.851538i | ||||
\(677\) | 16.8067 | + | 10.9144i | 0.645936 | + | 0.419476i | 0.825603 | − | 0.564252i | \(-0.190835\pi\) |
−0.179667 | + | 0.983727i | \(0.557502\pi\) | |||||||
\(678\) | −42.5082 | + | 6.73264i | −1.63252 | + | 0.258566i | ||||
\(679\) | 5.80753 | + | 9.33857i | 0.222873 | + | 0.358381i | ||||
\(680\) | −1.97873 | + | 0.152951i | −0.0758807 | + | 0.00586541i | ||||
\(681\) | 49.9718 | + | 22.2489i | 1.91493 | + | 0.852580i | ||||
\(682\) | 8.09771 | − | 2.16978i | 0.310077 | − | 0.0830850i | ||||
\(683\) | 31.8904 | − | 39.3814i | 1.22025 | − | 1.50689i | 0.419657 | − | 0.907683i | \(-0.362150\pi\) |
0.800596 | − | 0.599204i | \(-0.204516\pi\) | |||||||
\(684\) | −54.6589 | + | 60.7049i | −2.08994 | + | 2.32111i | ||||
\(685\) | −31.5661 | − | 2.52863i | −1.20608 | − | 0.0966141i | ||||
\(686\) | −23.8300 | − | 33.2477i | −0.909835 | − | 1.26940i | ||||
\(687\) | 38.0053 | + | 19.3647i | 1.44999 | + | 0.738808i | ||||
\(688\) | −3.36597 | + | 0.176403i | −0.128326 | + | 0.00672529i | ||||
\(689\) | 0.258804 | + | 0.287431i | 0.00985965 | + | 0.0109503i | ||||
\(690\) | −30.2812 | + | 43.9280i | −1.15279 | + | 1.67231i | ||||
\(691\) | −11.9737 | − | 10.7812i | −0.455501 | − | 0.410135i | 0.409182 | − | 0.912453i | \(-0.365814\pi\) |
−0.864683 | + | 0.502318i | \(0.832481\pi\) | |||||||
\(692\) | −67.9627 | − | 10.7642i | −2.58355 | − | 0.409195i | ||||
\(693\) | −17.9204 | − | 42.4712i | −0.680739 | − | 1.61335i | ||||
\(694\) | −34.6430 | − | 47.6821i | −1.31503 | − | 1.80999i | ||||
\(695\) | −29.8067 | + | 20.4244i | −1.13063 | + | 0.774741i | ||||
\(696\) | −17.0794 | − | 38.3610i | −0.647394 | − | 1.45407i | ||||
\(697\) | −0.0659536 | + | 0.171815i | −0.00249817 | + | 0.00650796i | ||||
\(698\) | −17.0276 | + | 26.2201i | −0.644502 | + | 0.992447i | ||||
\(699\) | 22.7314 | 0.859781 | ||||||||
\(700\) | −18.0419 | + | 33.5314i | −0.681921 | + | 1.26737i | ||||
\(701\) | 40.7107 | 1.53762 | 0.768811 | − | 0.639476i | \(-0.220849\pi\) | ||||
0.768811 | + | 0.639476i | \(0.220849\pi\) | |||||||
\(702\) | −6.06058 | + | 9.33247i | −0.228742 | + | 0.352231i | ||||
\(703\) | 16.0025 | − | 41.6878i | 0.603544 | − | 1.57229i | ||||
\(704\) | 23.0204 | + | 51.7047i | 0.867615 | + | 1.94869i | ||||
\(705\) | 17.3098 | − | 48.6654i | 0.651924 | − | 1.83285i | ||||
\(706\) | 12.0787 | + | 16.6249i | 0.454588 | + | 0.625686i | ||||
\(707\) | −2.86721 | − | 0.358302i | −0.107833 | − | 0.0134753i | ||||
\(708\) | 25.7177 | + | 4.07329i | 0.966532 | + | 0.153084i | ||||
\(709\) | −21.9836 | − | 19.7941i | −0.825612 | − | 0.743384i | 0.143594 | − | 0.989637i | \(-0.454134\pi\) |
−0.969206 | + | 0.246252i | \(0.920801\pi\) | |||||||
\(710\) | 3.18418 | + | 0.948032i | 0.119500 | + | 0.0355790i | ||||
\(711\) | 36.8276 | + | 40.9011i | 1.38114 | + | 1.53391i | ||||
\(712\) | 0.134339 | − | 0.00704042i | 0.00503457 | − | 0.000263851i | ||||
\(713\) | −3.13744 | − | 1.59860i | −0.117498 | − | 0.0598682i | ||||
\(714\) | −6.62439 | + | 2.39498i | −0.247912 | + | 0.0896299i | ||||
\(715\) | 7.70048 | − | 18.5175i | 0.287982 | − | 0.692514i | ||||
\(716\) | −15.0020 | + | 16.6614i | −0.560652 | + | 0.622667i | ||||
\(717\) | −5.02822 | + | 6.20933i | −0.187782 | + | 0.231892i | ||||
\(718\) | 33.1419 | − | 8.88035i | 1.23685 | − | 0.331412i | ||||
\(719\) | −23.3717 | − | 10.4057i | −0.871617 | − | 0.388069i | −0.0783375 | − | 0.996927i | \(-0.524961\pi\) |
−0.793279 | + | 0.608858i | \(0.791628\pi\) | |||||||
\(720\) | 11.0526 | + | 6.79425i | 0.411904 | + | 0.253207i | ||||
\(721\) | −5.17842 | − | 2.76770i | −0.192854 | − | 0.103074i | ||||
\(722\) | −71.6036 | + | 11.3409i | −2.66481 | + | 0.422064i | ||||
\(723\) | 50.3525 | + | 32.6993i | 1.87263 | + | 1.21610i | ||||
\(724\) | 10.3220 | − | 17.8782i | 0.383613 | − | 0.664437i | ||||
\(725\) | 38.3050 | + | 14.8267i | 1.42261 | + | 0.550651i | ||||
\(726\) | −43.0032 | + | 24.8279i | −1.59600 | + | 0.921451i | ||||
\(727\) | 17.2579 | − | 8.79336i | 0.640061 | − | 0.326128i | −0.103665 | − | 0.994612i | \(-0.533057\pi\) |
0.743726 | + | 0.668485i | \(0.233057\pi\) | |||||||
\(728\) | 10.1442 | + | 2.36493i | 0.375969 | + | 0.0876503i | ||||
\(729\) | −23.7820 | + | 32.7332i | −0.880816 | + | 1.21234i | ||||
\(730\) | 80.3438 | − | 23.6770i | 2.97366 | − | 0.876325i | ||||
\(731\) | −1.04200 | + | 0.109518i | −0.0385396 | + | 0.00405067i | ||||
\(732\) | −2.34687 | − | 8.75863i | −0.0867427 | − | 0.323728i | ||||
\(733\) | −38.3161 | + | 14.7082i | −1.41524 | + | 0.543259i | −0.941382 | − | 0.337343i | \(-0.890472\pi\) |
−0.473857 | + | 0.880602i | \(0.657138\pi\) | |||||||
\(734\) | −2.17680 | − | 6.69952i | −0.0803473 | − | 0.247284i | ||||
\(735\) | −9.15527 | + | 40.2123i | −0.337697 | + | 1.48325i | ||||
\(736\) | 9.03465 | − | 27.8058i | 0.333022 | − | 1.02494i | ||||
\(737\) | 0.993068 | + | 18.9489i | 0.0365801 | + | 0.697991i | ||||
\(738\) | −2.93762 | + | 1.90771i | −0.108135 | + | 0.0702239i | ||||
\(739\) | 36.6122 | − | 32.9657i | 1.34680 | − | 1.21266i | 0.390386 | − | 0.920651i | \(-0.372342\pi\) |
0.956414 | − | 0.292013i | \(-0.0943251\pi\) | |||||||
\(740\) | 39.2446 | + | 7.33021i | 1.44266 | + | 0.269464i | ||||
\(741\) | −36.6075 | + | 11.8945i | −1.34481 | + | 0.436955i | ||||
\(742\) | −0.575681 | + | 0.953449i | −0.0211339 | + | 0.0350022i | ||||
\(743\) | 1.48958 | + | 1.48958i | 0.0546475 | + | 0.0546475i | 0.733902 | − | 0.679255i | \(-0.237697\pi\) |
−0.679255 | + | 0.733902i | \(0.737697\pi\) | |||||||
\(744\) | 1.78555 | − | 4.01042i | 0.0654616 | − | 0.147029i | ||||
\(745\) | 11.0361 | + | 1.46860i | 0.404331 | + | 0.0538053i | ||||
\(746\) | 42.6418 | − | 18.9854i | 1.56123 | − | 0.695104i | ||||
\(747\) | −15.3909 | + | 12.4633i | −0.563125 | + | 0.456010i | ||||
\(748\) | 2.64215 | + | 5.18552i | 0.0966067 | + | 0.189601i | ||||
\(749\) | −34.9367 | + | 4.83354i | −1.27656 | + | 0.176614i | ||||
\(750\) | 63.3295 | − | 14.9239i | 2.31247 | − | 0.544945i | ||||
\(751\) | −7.00522 | − | 12.1334i | −0.255624 | − | 0.442754i | 0.709441 | − | 0.704765i | \(-0.248948\pi\) |
−0.965065 | + | 0.262011i | \(0.915614\pi\) | |||||||
\(752\) | −0.675295 | + | 12.8854i | −0.0246255 | + | 0.469882i | ||||
\(753\) | 67.3177 | + | 25.8408i | 2.45319 | + | 0.941692i | ||||
\(754\) | 3.84880 | − | 36.6189i | 0.140165 | − | 1.33358i | ||||
\(755\) | 7.00617 | − | 2.89060i | 0.254981 | − | 0.105200i | ||||
\(756\) | −18.1628 | − | 5.25034i | −0.660575 | − | 0.190953i | ||||
\(757\) | 1.81597 | − | 1.81597i | 0.0660025 | − | 0.0660025i | −0.673335 | − | 0.739338i | \(-0.735139\pi\) |
0.739338 | + | 0.673335i | \(0.235139\pi\) | |||||||
\(758\) | 16.8847 | + | 43.9860i | 0.613278 | + | 1.59764i | ||||
\(759\) | 46.7012 | + | 9.92665i | 1.69515 | + | 0.360315i | ||||
\(760\) | −10.3833 | − | 29.4520i | −0.376641 | − | 1.06834i | ||||
\(761\) | 4.81663 | + | 22.6604i | 0.174603 | + | 0.821441i | 0.975041 | + | 0.222025i | \(0.0712668\pi\) |
−0.800438 | + | 0.599415i | \(0.795400\pi\) | |||||||
\(762\) | 46.4987 | − | 91.2588i | 1.68447 | − | 3.30596i | ||||
\(763\) | −7.75626 | − | 40.3652i | −0.280795 | − | 1.46132i | ||||
\(764\) | −15.5289 | − | 5.04565i | −0.561816 | − | 0.182545i | ||||
\(765\) | 3.54147 | + | 1.92927i | 0.128042 | + | 0.0697528i | ||||
\(766\) | −0.113884 | + | 0.535784i | −0.00411481 | + | 0.0193586i | ||||
\(767\) | 5.41468 | + | 4.38473i | 0.195513 | + | 0.158323i | ||||
\(768\) | 13.6448 | + | 3.65611i | 0.492364 | + | 0.131928i | ||||
\(769\) | 17.3349 | − | 12.5946i | 0.625114 | − | 0.454172i | −0.229590 | − | 0.973287i | \(-0.573739\pi\) |
0.854704 | + | 0.519115i | \(0.173739\pi\) | |||||||
\(770\) | 57.4641 | + | 5.73873i | 2.07086 | + | 0.206810i | ||||
\(771\) | 3.27089 | + | 2.37644i | 0.117798 | + | 0.0855855i | ||||
\(772\) | −5.40421 | − | 6.67365i | −0.194502 | − | 0.240190i | ||||
\(773\) | −27.5004 | − | 1.44123i | −0.989119 | − | 0.0518375i | −0.449092 | − | 0.893485i | \(-0.648253\pi\) |
−0.540027 | + | 0.841648i | \(0.681586\pi\) | |||||||
\(774\) | −17.2694 | − | 9.97049i | −0.620735 | − | 0.358382i | ||||
\(775\) | 1.52767 | + | 4.01316i | 0.0548755 | + | 0.144157i | ||||
\(776\) | − | 8.06377i | − | 0.289472i | ||||||
\(777\) | 43.0844 | − | 3.67617i | 1.54565 | − | 0.131882i | ||||
\(778\) | 7.31203 | + | 46.1663i | 0.262149 | + | 1.65514i | ||||
\(779\) | −2.88004 | − | 0.302705i | −0.103188 | − | 0.0108455i | ||||
\(780\) | −16.3786 | − | 30.2663i | −0.586449 | − | 1.08371i | ||||
\(781\) | −0.310766 | − | 2.95674i | −0.0111201 | − | 0.105801i | ||||
\(782\) | 1.07229 | − | 4.00184i | 0.0383450 | − | 0.143106i | ||||
\(783\) | −3.19043 | + | 20.1436i | −0.114017 | + | 0.719874i | ||||
\(784\) | −0.674504 | − | 10.2803i | −0.0240894 | − | 0.367153i | ||||
\(785\) | −26.4946 | − | 11.0178i | −0.945633 | − | 0.393241i | ||||
\(786\) | −0.837610 | + | 0.178039i | −0.0298765 | + | 0.00635046i | ||||
\(787\) | 25.4332 | + | 39.1637i | 0.906597 | + | 1.39604i | 0.918206 | + | 0.396104i | \(0.129638\pi\) |
−0.0116093 | + | 0.999933i | \(0.503695\pi\) | |||||||
\(788\) | −7.79404 | − | 12.0018i | −0.277651 | − | 0.427545i | ||||
\(789\) | −3.94413 | + | 0.838350i | −0.140415 | + | 0.0298461i | ||||
\(790\) | −67.0682 | + | 16.0027i | −2.38618 | + | 0.569350i | ||||
\(791\) | 1.40682 | − | 19.5160i | 0.0500207 | − | 0.693907i | ||||
\(792\) | −5.28769 | + | 33.3851i | −0.187890 | + | 1.18629i | ||||
\(793\) | 0.627980 | − | 2.34365i | 0.0223002 | − | 0.0832256i | ||||
\(794\) | 3.01344 | + | 28.6709i | 0.106943 | + | 1.01749i | ||||
\(795\) | 1.10439 | − | 0.203092i | 0.0391685 | − | 0.00720294i | ||||
\(796\) | −31.5688 | − | 3.31801i | −1.11893 | − | 0.117604i | ||||
\(797\) | 4.07746 | + | 25.7440i | 0.144431 | + | 0.911901i | 0.948365 | + | 0.317182i | \(0.102737\pi\) |
−0.803934 | + | 0.594719i | \(0.797263\pi\) | |||||||
\(798\) | −63.3801 | − | 90.9313i | −2.24363 | − | 3.21893i | ||||
\(799\) | 4.01088i | 0.141895i | ||||||||
\(800\) | −30.9267 | + | 17.7407i | −1.09343 | + | 0.627227i | ||||
\(801\) | −0.236736 | − | 0.136680i | −0.00836465 | − | 0.00482933i | ||||
\(802\) | 66.2682 | + | 3.47297i | 2.34001 | + | 0.122635i | ||||
\(803\) | −47.1701 | − | 58.2502i | −1.66460 | − | 2.05560i | ||||
\(804\) | 26.3421 | + | 19.1387i | 0.929016 | + | 0.674969i | ||||
\(805\) | −16.3239 | − | 17.9417i | −0.575344 | − | 0.632361i | ||||
\(806\) | 3.11421 | − | 2.26261i | 0.109693 | − | 0.0796970i | ||||
\(807\) | 62.2006 | + | 16.6666i | 2.18956 | + | 0.586692i | ||||
\(808\) | 1.64660 | + | 1.33339i | 0.0579271 | + | 0.0469084i | ||||
\(809\) | −3.11147 | + | 14.6383i | −0.109393 | + | 0.514655i | 0.888996 | + | 0.457916i | \(0.151404\pi\) |
−0.998389 | + | 0.0567396i | \(0.981930\pi\) | |||||||
\(810\) | −11.2050 | − | 23.5764i | −0.393704 | − | 0.828391i | ||||
\(811\) | 19.0300 | + | 6.18321i | 0.668233 | + | 0.217122i | 0.623436 | − | 0.781874i | \(-0.285736\pi\) |
0.0447964 | + | 0.998996i | \(0.485736\pi\) | |||||||
\(812\) | 61.4359 | − | 11.8050i | 2.15598 | − | 0.414276i | ||||
\(813\) | −20.0059 | + | 39.2637i | −0.701636 | + | 1.37704i | ||||
\(814\) | −12.5890 | − | 59.2268i | −0.441246 | − | 2.07590i | ||||
\(815\) | 23.5479 | + | 16.2325i | 0.824848 | + | 0.568599i | ||||
\(816\) | −1.73532 | − | 0.368854i | −0.0607484 | − | 0.0129125i | ||||
\(817\) | −5.90821 | − | 15.3914i | −0.206702 | − | 0.538477i | ||||
\(818\) | 14.3397 | − | 14.3397i | 0.501377 | − | 0.501377i | ||||
\(819\) | −14.6706 | − | 15.2573i | −0.512633 | − | 0.533134i | ||||
\(820\) | −0.199538 | − | 2.58143i | −0.00696818 | − | 0.0901473i | ||||
\(821\) | 4.18166 | − | 39.7858i | 0.145941 | − | 1.38853i | −0.639116 | − | 0.769110i | \(-0.720700\pi\) |
0.785057 | − | 0.619424i | \(-0.212634\pi\) | |||||||
\(822\) | 76.9420 | + | 29.5353i | 2.68366 | + | 1.03016i | ||||
\(823\) | 1.63306 | − | 31.1606i | 0.0569248 | − | 1.08619i | −0.809576 | − | 0.587015i | \(-0.800303\pi\) |
0.866501 | − | 0.499175i | \(-0.166364\pi\) | |||||||
\(824\) | 2.15273 | + | 3.72863i | 0.0749938 | + | 0.129893i | ||||
\(825\) | −34.0915 | − | 47.1994i | −1.18691 | − | 1.64327i | ||||
\(826\) | −7.55581 | + | 18.5862i | −0.262900 | + | 0.646698i | ||||
\(827\) | −20.1020 | − | 39.4525i | −0.699016 | − | 1.37190i | −0.918162 | − | 0.396204i | \(-0.870327\pi\) |
0.219146 | − | 0.975692i | \(-0.429673\pi\) | |||||||
\(828\) | 36.1564 | − | 29.2788i | 1.25652 | − | 1.01751i | ||||
\(829\) | −0.159845 | + | 0.0711674i | −0.00555163 | + | 0.00247175i | −0.409511 | − | 0.912305i | \(-0.634301\pi\) |
0.403959 | + | 0.914777i | \(0.367634\pi\) | |||||||
\(830\) | −4.48736 | − | 24.4016i | −0.155758 | − | 0.846992i | ||||
\(831\) | 22.6006 | − | 50.7619i | 0.784007 | − | 1.76091i | ||||
\(832\) | 18.3763 | + | 18.3763i | 0.637082 | + | 0.637082i | ||||
\(833\) | −0.376624 | − | 3.18024i | −0.0130493 | − | 0.110189i | ||||
\(834\) | 89.4360 | − | 29.0595i | 3.09691 | − | 1.00625i | ||||
\(835\) | −4.61305 | − | 4.87474i | −0.159641 | − | 0.168697i | ||||
\(836\) | −68.0550 | + | 61.2770i | −2.35373 | + | 2.11931i | ||||
\(837\) | −1.78817 | + | 1.16125i | −0.0618081 | + | 0.0401387i | ||||
\(838\) | −1.22637 | − | 23.4005i | −0.0423643 | − | 0.808358i | ||||
\(839\) | −5.86993 | + | 18.0658i | −0.202652 | + | 0.623700i | 0.797149 | + | 0.603782i | \(0.206340\pi\) |
−0.999802 | + | 0.0199176i | \(0.993660\pi\) | |||||||
\(840\) | 21.2723 | − | 21.4940i | 0.733965 | − | 0.741613i | ||||
\(841\) | −11.8923 | − | 36.6008i | −0.410080 | − | 1.26210i | ||||
\(842\) | 37.2107 | − | 14.2839i | 1.28237 | − | 0.492254i | ||||
\(843\) | −5.73790 | − | 21.4141i | −0.197624 | − | 0.737541i | ||||
\(844\) | −38.0651 | + | 4.00080i | −1.31025 | + | 0.137713i | ||||
\(845\) | −0.547588 | + | 19.8528i | −0.0188376 | + | 0.682957i | ||||
\(846\) | −44.8697 | + | 61.7579i | −1.54265 | + | 2.12328i | ||||
\(847\) | −6.55398 | − | 21.6029i | −0.225197 | − | 0.742286i | ||||
\(848\) | −0.249936 | + | 0.127349i | −0.00858283 | + | 0.00437317i | ||||
\(849\) | 7.58889 | − | 4.38145i | 0.260450 | − | 0.150371i | ||||
\(850\) | −4.24491 | + | 2.73987i | −0.145599 | + | 0.0939767i | ||||
\(851\) | −12.7163 | + | 22.0252i | −0.435908 | + | 0.755015i | ||||
\(852\) | −4.27863 | − | 2.77858i | −0.146583 | − | 0.0951924i | ||||
\(853\) | 15.2624 | − | 2.41733i | 0.522575 | − | 0.0827678i | 0.110426 | − | 0.993884i | \(-0.464778\pi\) |
0.412149 | + | 0.911117i | \(0.364778\pi\) | |||||||
\(854\) | 6.98313 | − | 0.228840i | 0.238958 | − | 0.00783076i | ||||
\(855\) | −14.9002 | + | 61.6845i | −0.509576 | + | 2.10956i | ||||
\(856\) | 23.6259 | + | 10.5189i | 0.807518 | + | 0.359530i | ||||
\(857\) | 44.5456 | − | 11.9360i | 1.52165 | − | 0.407725i | 0.601365 | − | 0.798974i | \(-0.294624\pi\) |
0.920285 | + | 0.391250i | \(0.127957\pi\) | |||||||
\(858\) | −32.8467 | + | 40.5623i | −1.12137 | + | 1.38477i | ||||
\(859\) | −21.4425 | + | 23.8143i | −0.731608 | + | 0.812533i | −0.988067 | − | 0.154022i | \(-0.950777\pi\) |
0.256460 | + | 0.966555i | \(0.417444\pi\) | |||||||
\(860\) | 12.5786 | − | 7.68405i | 0.428926 | − | 0.262024i | ||||
\(861\) | −0.953460 | − | 2.63722i | −0.0324938 | − | 0.0898763i | ||||
\(862\) | −77.6355 | − | 39.5572i | −2.64427 | − | 1.34733i | ||||
\(863\) | 8.32870 | − | 0.436489i | 0.283512 | − | 0.0148582i | 0.0899502 | − | 0.995946i | \(-0.471329\pi\) |
0.193562 | + | 0.981088i | \(0.437996\pi\) | |||||||
\(864\) | −11.8457 | − | 13.1560i | −0.403001 | − | 0.447577i | ||||
\(865\) | −50.4140 | + | 17.7734i | −1.71413 | + | 0.604314i | ||||
\(866\) | 25.5154 | + | 22.9741i | 0.867047 | + | 0.780693i | ||||
\(867\) | 43.6957 | + | 6.92072i | 1.48398 | + | 0.235040i | ||||
\(868\) | 5.21482 | + | 3.94724i | 0.177002 | + | 0.133978i | ||||
\(869\) | 36.2675 | + | 49.9179i | 1.23029 | + | 1.69335i | ||||
\(870\) | −84.7177 | − | 65.1942i | −2.87220 | − | 2.21029i | ||||
\(871\) | 3.54376 | + | 7.95941i | 0.120076 | + | 0.269694i | ||||
\(872\) | −10.8011 | + | 28.1379i | −0.365772 | + | 0.952869i | ||||
\(873\) | −8.92446 | + | 13.7425i | −0.302047 | + | 0.465112i | ||||
\(874\) | 65.1915 | 2.20514 | ||||||||
\(875\) | 0.0707687 | + | 29.5803i | 0.00239242 | + | 0.999997i | ||||
\(876\) | −128.620 | −4.34568 | ||||||||
\(877\) | −11.5584 | + | 17.7983i | −0.390298 | + | 0.601007i | −0.978135 | − | 0.207973i | \(-0.933313\pi\) |
0.587836 | + | 0.808980i | \(0.299980\pi\) | |||||||
\(878\) | −13.8021 | + | 35.9558i | −0.465800 | + | 1.21345i | ||||
\(879\) | 0.469896 | + | 1.05540i | 0.0158492 | + | 0.0355979i | ||||
\(880\) | 11.5267 | + | 8.87036i | 0.388566 | + | 0.299020i | ||||
\(881\) | −12.5457 | − | 17.2677i | −0.422677 | − | 0.581765i | 0.543576 | − | 0.839360i | \(-0.317070\pi\) |
−0.966253 | + | 0.257595i | \(0.917070\pi\) | |||||||
\(882\) | 29.7782 | − | 53.1813i | 1.00269 | − | 1.79071i | ||||
\(883\) | −8.22483 | − | 1.30268i | −0.276787 | − | 0.0438388i | 0.0164975 | − | 0.999864i | \(-0.494748\pi\) |
−0.293285 | + | 0.956025i | \(0.594748\pi\) | |||||||
\(884\) | 1.98590 | + | 1.78811i | 0.0667930 | + | 0.0601407i | ||||
\(885\) | 19.0772 | − | 6.72563i | 0.641272 | − | 0.226080i | ||||
\(886\) | −39.4804 | − | 43.8475i | −1.32637 | − | 1.47308i | ||||
\(887\) | 14.9880 | − | 0.785486i | 0.503246 | − | 0.0263740i | 0.200976 | − | 0.979596i | \(-0.435589\pi\) |
0.302271 | + | 0.953222i | \(0.402255\pi\) | |||||||
\(888\) | −28.2511 | − | 14.3947i | −0.948046 | − | 0.483054i | ||||
\(889\) | 35.6062 | + | 30.0077i | 1.19419 | + | 1.00643i | ||||
\(890\) | 0.292246 | − | 0.178528i | 0.00979609 | − | 0.00598427i | ||||
\(891\) | −15.6304 | + | 17.3593i | −0.523639 | + | 0.581560i | ||||
\(892\) | 31.5726 | − | 38.9890i | 1.05713 | − | 1.30545i | ||||
\(893\) | −60.9619 | + | 16.3347i | −2.04001 | + | 0.546620i | ||||
\(894\) | −26.4703 | − | 11.7853i | −0.885300 | − | 0.394161i | ||||
\(895\) | −4.08960 | + | 16.9303i | −0.136700 | + | 0.565918i | ||||
\(896\) | −17.4890 | + | 32.7222i | −0.584265 | + | 1.09317i | ||||
\(897\) | 21.6529 | − | 3.42948i | 0.722969 | − | 0.114507i | ||||
\(898\) | 32.4014 | + | 21.0417i | 1.08125 | + | 0.702171i | ||||
\(899\) | 3.52755 | − | 6.10989i | 0.117650 | − | 0.203776i | ||||
\(900\) | −56.6498 | − | 3.12745i | −1.88833 | − | 0.104248i | ||||
\(901\) | −0.0755135 | + | 0.0435977i | −0.00251572 | + | 0.00145245i | ||||
\(902\) | −3.49882 | + | 1.78274i | −0.116498 | + | 0.0593587i | ||||
\(903\) | 10.9130 | − | 11.6525i | 0.363163 | − | 0.387772i | ||||
\(904\) | −8.43322 | + | 11.6073i | −0.280485 | + | 0.386054i | ||||
\(905\) | 0.442180 | − | 16.0313i | 0.0146986 | − | 0.532897i | ||||
\(906\) | −19.6169 | + | 2.06182i | −0.651729 | + | 0.0684995i | ||||
\(907\) | −11.1875 | − | 41.7522i | −0.371474 | − | 1.38636i | −0.858429 | − | 0.512933i | \(-0.828559\pi\) |
0.486955 | − | 0.873427i | \(-0.338108\pi\) | |||||||
\(908\) | 55.7881 | − | 21.4151i | 1.85139 | − | 0.710684i | ||||
\(909\) | −1.33046 | − | 4.09474i | −0.0441286 | − | 0.135814i | ||||
\(910\) | 25.5775 | − | 6.99576i | 0.847885 | − | 0.231907i | ||||
\(911\) | 8.04895 | − | 24.7721i | 0.266673 | − | 0.820737i | −0.724630 | − | 0.689138i | \(-0.757989\pi\) |
0.991303 | − | 0.131598i | \(-0.0420108\pi\) | |||||||
\(912\) | −1.46100 | − | 27.8776i | −0.0483787 | − | 0.923120i | ||||
\(913\) | −18.6205 | + | 12.0923i | −0.616247 | + | 0.400196i | ||||
\(914\) | −34.7016 | + | 31.2455i | −1.14783 | + | 1.03351i | ||||
\(915\) | −4.84178 | − | 5.11645i | −0.160064 | − | 0.169145i | ||||
\(916\) | 44.3164 | − | 14.3993i | 1.46426 | − | 0.475765i | ||||
\(917\) | 0.00763050 | − | 0.389239i | 0.000251981 | − | 0.0128538i | ||||
\(918\) | −1.77388 | − | 1.77388i | −0.0585467 | − | 0.0585467i | ||||
\(919\) | −20.7330 | + | 46.5671i | −0.683920 | + | 1.53611i | 0.152669 | + | 0.988277i | \(0.451213\pi\) |
−0.836589 | + | 0.547831i | \(0.815454\pi\) | |||||||
\(920\) | 3.21690 | + | 17.4930i | 0.106058 | + | 0.576728i | ||||
\(921\) | −75.7010 | + | 33.7043i | −2.49443 | + | 1.11059i | ||||
\(922\) | −35.9733 | + | 29.1306i | −1.18472 | + | 0.959365i | ||||
\(923\) | −0.619752 | − | 1.21633i | −0.0203994 | − | 0.0400360i | ||||
\(924\) | −82.1509 | − | 33.3965i | −2.70257 | − | 1.09867i | ||||
\(925\) | 29.5233 | − | 9.50169i | 0.970720 | − | 0.312413i | ||||
\(926\) | −23.5431 | − | 40.7779i | −0.773676 | − | 1.34005i | ||||
\(927\) | 0.457883 | − | 8.73693i | 0.0150388 | − | 0.286958i | ||||
\(928\) | 54.6876 | + | 20.9926i | 1.79521 | + | 0.689116i | ||||
\(929\) | 2.33920 | − | 22.2560i | 0.0767466 | − | 0.730195i | −0.886709 | − | 0.462328i | \(-0.847014\pi\) |
0.963456 | − | 0.267868i | \(-0.0863190\pi\) | |||||||
\(930\) | −0.861284 | − | 11.1424i | −0.0282426 | − | 0.365374i | ||||
\(931\) | 46.8030 | − | 18.6762i | 1.53391 | − | 0.612087i | ||||
\(932\) | 17.5593 | − | 17.5593i | 0.575172 | − | 0.575172i | ||||
\(933\) | −15.2267 | − | 39.6670i | −0.498501 | − | 1.29864i | ||||
\(934\) | 15.4634 | + | 3.28684i | 0.505977 | + | 0.107549i | ||||
\(935\) | 3.72244 | + | 2.56602i | 0.121737 | + | 0.0839178i | ||||
\(936\) | 3.22689 | + | 15.1813i | 0.105474 | + | 0.496217i | ||||
\(937\) | −9.42552 | + | 18.4986i | −0.307918 | + | 0.604324i | −0.992166 | − | 0.124926i | \(-0.960131\pi\) |
0.684248 | + | 0.729250i | \(0.260131\pi\) | |||||||
\(938\) | −18.9703 | + | 16.4192i | −0.619401 | + | 0.536106i | ||||
\(939\) | −41.6775 | − | 13.5418i | −1.36009 | − | 0.441921i | ||||
\(940\) | −24.2212 | − | 50.9636i | −0.790008 | − | 1.66225i | ||||
\(941\) | 2.50866 | − | 11.8023i | 0.0817800 | − | 0.384744i | −0.918154 | − | 0.396223i | \(-0.870321\pi\) |
0.999934 | + | 0.0114789i | \(0.00365393\pi\) | |||||||
\(942\) | 58.0361 | + | 46.9967i | 1.89092 | + | 1.53124i | ||||
\(943\) | 1.59316 | + | 0.426887i | 0.0518805 | + | 0.0139013i | ||||
\(944\) | −4.08804 | + | 2.97014i | −0.133054 | + | 0.0966697i | ||||
\(945\) | −14.3506 | + | 3.12814i | −0.466825 | + | 0.101758i | ||||
\(946\) | −18.0859 | − | 13.1402i | −0.588024 | − | 0.427224i | ||||
\(947\) | 21.6974 | + | 26.7941i | 0.705071 | + | 0.870690i | 0.996298 | − | 0.0859639i | \(-0.0273970\pi\) |
−0.291227 | + | 0.956654i | \(0.594064\pi\) | |||||||
\(948\) | 105.735 | + | 5.54132i | 3.43410 | + | 0.179974i | ||||
\(949\) | −29.8056 | − | 17.2083i | −0.967530 | − | 0.558604i | ||||
\(950\) | −58.9314 | − | 53.3607i | −1.91199 | − | 1.73125i | ||||
\(951\) | − | 30.9173i | − | 1.00256i | ||||||
\(952\) | −0.996981 | + | 2.12610i | −0.0323123 | + | 0.0689072i | ||||
\(953\) | 5.72843 | + | 36.1679i | 0.185562 | + | 1.17159i | 0.887999 | + | 0.459846i | \(0.152095\pi\) |
−0.702437 | + | 0.711746i | \(0.747905\pi\) | |||||||
\(954\) | −1.65045 | − | 0.173470i | −0.0534354 | − | 0.00561628i | ||||
\(955\) | −12.4753 | + | 2.29417i | −0.403693 | + | 0.0742375i | ||||
\(956\) | 0.912371 | + | 8.68063i | 0.0295082 | + | 0.280752i | ||||
\(957\) | −24.7587 | + | 92.4008i | −0.800336 | + | 2.98689i | ||||
\(958\) | −5.18682 | + | 32.7483i | −0.167579 | + | 1.05805i | ||||
\(959\) | −21.0192 | + | 31.0183i | −0.678744 | + | 1.00163i | ||||
\(960\) | 73.3890 | − | 17.5109i | 2.36862 | − | 0.565161i | ||||
\(961\) | −29.6011 | + | 6.29191i | −0.954875 | + | 0.202965i | ||||
\(962\) | −15.1424 | − | 23.3172i | −0.488210 | − | 0.751778i | ||||
\(963\) | −28.6222 | − | 44.0743i | −0.922338 | − | 1.42028i | ||||
\(964\) | 64.1548 | − | 13.6365i | 2.06629 | − | 0.439203i | ||||
\(965\) | −6.15977 | − | 2.56154i | −0.198290 | − | 0.0824588i | ||||
\(966\) | 27.5520 | + | 56.7993i | 0.886472 | + | 1.82749i | ||||
\(967\) | −9.34349 | + | 58.9925i | −0.300466 | + | 1.89707i | 0.125103 | + | 0.992144i | \(0.460074\pi\) |
−0.425569 | + | 0.904926i | \(0.639926\pi\) | |||||||
\(968\) | −4.28438 | + | 15.9895i | −0.137705 | + | 0.513923i | ||||
\(969\) | −0.907051 | − | 8.63002i | −0.0291387 | − | 0.277236i | ||||
\(970\) | −9.77003 | − | 18.0542i | −0.313697 | − | 0.579685i | ||||
\(971\) | 19.3807 | + | 2.03699i | 0.621955 | + | 0.0653701i | 0.410264 | − | 0.911967i | \(-0.365436\pi\) |
0.211691 | + | 0.977337i | \(0.432103\pi\) | |||||||
\(972\) | 9.62419 | + | 60.7648i | 0.308696 | + | 1.94903i | ||||
\(973\) | 3.63469 | + | 42.5983i | 0.116523 | + | 1.36564i | ||||
\(974\) | 46.7653i | 1.49846i | ||||||||
\(975\) | −22.3807 | − | 14.6232i | −0.716757 | − | 0.468317i | ||||
\(976\) | 1.52394 | + | 0.879847i | 0.0487801 | + | 0.0281632i | ||||
\(977\) | −22.0255 | − | 1.15431i | −0.704658 | − | 0.0369296i | −0.303359 | − | 0.952876i | \(-0.598108\pi\) |
−0.401300 | + | 0.915947i | \(0.631441\pi\) | |||||||
\(978\) | −46.8436 | − | 57.8470i | −1.49789 | − | 1.84974i | ||||
\(979\) | −0.247929 | − | 0.180131i | −0.00792385 | − | 0.00575701i | ||||
\(980\) | 23.9906 | + | 38.1348i | 0.766350 | + | 1.21817i | ||||
\(981\) | 49.5488 | − | 35.9993i | 1.58197 | − | 1.14937i | ||||
\(982\) | −67.0269 | − | 17.9598i | −2.13892 | − | 0.573121i | ||||
\(983\) | −4.54451 | − | 3.68007i | −0.144947 | − | 0.117376i | 0.554104 | − | 0.832447i | \(-0.313061\pi\) |
−0.699052 | + | 0.715071i | \(0.746394\pi\) | |||||||
\(984\) | −0.427524 | + | 2.01134i | −0.0136290 | + | 0.0641193i | ||||
\(985\) | −9.76254 | − | 5.31828i | −0.311060 | − | 0.169454i | ||||
\(986\) | 7.89461 | + | 2.56511i | 0.251416 | + | 0.0816899i | ||||
\(987\) | −39.9964 | − | 46.2106i | −1.27310 | − | 1.47090i | ||||
\(988\) | −19.0900 | + | 37.4662i | −0.607333 | + | 1.19196i | ||||
\(989\) | 1.95226 | + | 9.18466i | 0.0620782 | + | 0.292055i | ||||
\(990\) | 28.6106 | + | 81.1535i | 0.909304 | + | 2.57923i | ||||
\(991\) | 57.7304 | + | 12.2710i | 1.83387 | + | 0.389800i | 0.989329 | − | 0.145697i | \(-0.0465425\pi\) |
0.844537 | + | 0.535497i | \(0.179876\pi\) | |||||||
\(992\) | 2.19465 | + | 5.71727i | 0.0696803 | + | 0.181524i | ||||
\(993\) | −2.62534 | + | 2.62534i | −0.0833128 | + | 0.0833128i | ||||
\(994\) | 2.83359 | − | 2.72463i | 0.0898761 | − | 0.0864200i | ||||
\(995\) | −22.7955 | + | 9.40497i | −0.722667 | + | 0.298158i | ||||
\(996\) | −3.98243 | + | 37.8903i | −0.126188 | + | 1.20060i | ||||
\(997\) | −19.3066 | − | 7.41110i | −0.611445 | − | 0.234712i | 0.0328851 | − | 0.999459i | \(-0.489530\pi\) |
−0.644330 | + | 0.764747i | \(0.722864\pi\) | |||||||
\(998\) | −2.45935 | + | 46.9272i | −0.0778494 | + | 1.48546i | ||||
\(999\) | 7.69985 | + | 13.3365i | 0.243613 | + | 0.421949i |
(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 | 175.2.x.a.3.2 | ✓ | 288 | |
5.2 | odd | 4 | 875.2.bb.b.507.2 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.507.17 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.493.17 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.103.17 | yes | 288 | |
25.6 | even | 5 | 875.2.bb.b.143.2 | 288 | |||
25.8 | odd | 20 | 875.2.bb.c.857.2 | 288 | |||
25.17 | odd | 20 | inner | 175.2.x.a.17.17 | yes | 288 | |
25.19 | even | 10 | 875.2.bb.a.143.17 | 288 | |||
35.12 | even | 12 | 875.2.bb.b.257.2 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.243.2 | 288 | |||
35.33 | even | 12 | 875.2.bb.a.257.17 | 288 | |||
175.19 | odd | 30 | 875.2.bb.a.768.17 | 288 | |||
175.33 | even | 60 | 875.2.bb.c.607.17 | 288 | |||
175.117 | even | 60 | inner | 175.2.x.a.117.2 | yes | 288 | |
175.131 | odd | 30 | 875.2.bb.b.768.2 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.3.2 | ✓ | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.17.17 | yes | 288 | 25.17 | odd | 20 | inner | |
175.2.x.a.103.17 | yes | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.117.2 | yes | 288 | 175.117 | even | 60 | inner | |
875.2.bb.a.143.17 | 288 | 25.19 | even | 10 | |||
875.2.bb.a.257.17 | 288 | 35.33 | even | 12 | |||
875.2.bb.a.507.17 | 288 | 5.3 | odd | 4 | |||
875.2.bb.a.768.17 | 288 | 175.19 | odd | 30 | |||
875.2.bb.b.143.2 | 288 | 25.6 | even | 5 | |||
875.2.bb.b.257.2 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.507.2 | 288 | 5.2 | odd | 4 | |||
875.2.bb.b.768.2 | 288 | 175.131 | odd | 30 | |||
875.2.bb.c.243.2 | 288 | 35.19 | odd | 6 | |||
875.2.bb.c.493.17 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.607.17 | 288 | 175.33 | even | 60 | |||
875.2.bb.c.857.2 | 288 | 25.8 | odd | 20 |